Subgroups — C₅₃×#63051 #27270563

Order 13568.

6720 conjugacy classes of subgroups.

The subgroup lattice has 2320 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#3568	C₂	1	2	yes	maximal, complemented
2	C₅₃×#3566	C₂	1	4	yes	maximal, complemented
3	C₅₃×#3565	C₂	1	2	yes	maximal, complemented
4	C₅₃×#3562	C₂	1	4	yes	maximal, complemented
5	C₅₃×#3559	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅₃×#3559	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅₃×#3558	C₂	1	2	yes	maximal, complemented
8	C₅₃×#3549	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#3547	C₂	1	2	yes	maximal, complemented
10	C₅₃×#3546	C₂	1	4	yes	maximal, complemented
11	C₅₃×#3546	C₂	1	2	yes	maximal, complemented
12	C₅₃×#3545	C₂	1	2	yes	maximal, complemented
13	C₅₃×#3542	C₂	1	2	yes	maximal, complemented
14	C₅₃×#3542	C₂	1	2	yes	maximal, complemented
15	C₅₃×#3542	C₂	1	4	yes	maximal, complemented
16	C₅₃×#3537	C₂	1	2	yes	maximal, complemented
17	C₅₃×#3534	C₂	1	4	yes	maximal, complemented
18	C₅₃×#3533	C₂	1	4	yes	maximal, complemented
19	C₅₃×#3529	C₂	1	1	yes	maximal, characteristic, complemented
20	C₅₃×#3529	C₂	1	2	yes	maximal, complemented
21	C₅₃×#3519	C₂	1	2	yes	maximal, complemented
22	C₅₃×#3517	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3514	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#3513	C₂	1	2	yes	maximal, complemented
25	C₅₃×#3512	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#3506	C₂	1	2	yes	maximal, complemented
27	C₅₃×#3494	C₂	1	2	yes	maximal, complemented
28	C₅₃×#3494	C₂	1	2	yes	maximal, complemented
29	C₅₃×#3493	C₂	1	2	yes	maximal, complemented
30	C₅₃×#563	C₂²	1	4	yes	complemented
31	C₅₃×#563	C₂²	1	2	yes	complemented
32	C₅₃×#563	C₂²	1	2	yes	complemented
33	C₅₃×#563	C₂²	1	1	yes	characteristic, complemented
34	C₅₃×#563	C₂²	1	2	yes	complemented
35	C₅₃×#562	C₂²	1	1	yes	characteristic, complemented
36	C₅₃×#562	C₂²	1	2	yes	complemented
37	C₅₃×#562	C₂²	1	4	yes	complemented
38	C₅₃×#562	C₂²	1	4	yes	complemented
39	C₅₃×#562	C₂²	1	1	yes	characteristic, complemented
40	C₅₃×#562	C₂²	1	2	yes	complemented
41	C₅₃×#562	C₂²	1	2	yes	complemented
42	C₅₃×#562	C₂²	1	4	yes	complemented
43	C₅₃×#562	C₂²	1	4	yes	complemented
44	C₅₃×#562	C₂²	1	4	yes	complemented
45	C₅₃×#562	C₂²	1	2	yes	complemented
46	C₅₃×H(3,𝔽₄)	C₂²	1	2	yes	complemented
47	C₅₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic, complemented
48	C₅₃×H(3,𝔽₄)	C₂²	1	2	yes	complemented
49	C₅₃×#560	C₂²	1	2	yes	complemented
50	C₅₃×#560	C₂²	1	4	yes	complemented
51	C₅₃×#560	C₂²	1	4	yes	complemented
52	C₅₃×#560	C₂²	1	2	yes	complemented
53	C₅₃×#560	C₂²	1	4	yes	complemented
54	C₅₃×#560	C₂²	1	2	yes	complemented
55	C₅₃×#560	C₂²	1	4	yes	complemented
56	C₅₃×#560	C₂²	1	4	yes	complemented
57	C₅₃×#560	C₂²	1	4	yes	complemented
58	C₅₃×#559	C₂²	1	4	yes	complemented
59	C₅₃×#559	C₂²	1	4	yes	complemented
60	C₅₃×#559	C₂²	1	1	yes	characteristic, complemented
61	C₅₃×#557	C₂²	1	1	yes	characteristic, complemented
62	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
63	C₅₃×#556	C₂²	1	2	yes	complemented
64	C₅₃×#556	C₂²	1	4	yes	complemented
65	C₅₃×#556	C₂²	1	4	yes	complemented
66	C₅₃×#556	C₂²	1	4	yes	complemented
67	C₅₃×#555	C₂²	1	2	yes	complemented
68	C₅₃×#555	C₂²	1	4	yes	complemented
69	C₅₃×#555	C₂²	1	2	yes	complemented
70	C₅₃×#555	C₂²	1	2	yes	complemented
71	C₅₃×#555	C₂²	1	2	yes	complemented
72	C₅₃×#555	C₂²	1	2	yes	complemented
73	C₅₃×#555	C₂²	1	2	yes	complemented
74	C₅₃×#555	C₂²	1	2	yes	complemented
75	C₅₃×#554	C₂²	1	2	yes	complemented
76	C₅₃×#554	C₂²	1	2	yes	complemented
77	C₅₃×#553	C₂²	1	2	yes	complemented
78	C₅₃×#553	C₂²	1	4	yes	complemented
79	C₅₃×#553	C₂²	1	2	yes	complemented
80	C₅₃×#553	C₂²	1	2	yes	complemented
81	C₅₃×#553	C₂²	1	2	yes	complemented
82	C₅₃×#553	C₂²	1	2	yes	complemented
83	C₅₃×#553	C₂²	1	2	yes	complemented
84	C₅₃×#553	C₂²	1	2	yes	complemented
85	C₅₃×#553	C₂²	1	2	yes	complemented
86	C₅₃×#553	C₂²	1	2	yes	complemented
87	C₅₃×#553	C₂²	1	2	yes	complemented
88	C₅₃×#553	C₂²	1	2	yes	complemented
89	C₅₃×#553	C₂²	1	4	yes	complemented
90	C₅₃×#553	C₂²	1	2	yes	complemented
91	C₅₃×#553	C₂²	1	4	yes	complemented
92	C₅₃×#553	C₂²	1	4	yes	complemented
93	C₅₃×#553	C₂²	1	4	yes	complemented
94	C₅₃×#553	C₂²	1	4	yes	complemented
95	C₅₃×#552	C₂²	1	2	yes	complemented
96	C₅₃×#552	C₂²	1	4	yes	complemented
97	C₅₃×#552	C₂²	1	2	yes	complemented
98	C₅₃×#552	C₂²	1	2	yes	complemented
99	C₅₃×#552	C₂²	1	4	yes	complemented
100	C₅₃×#552	C₂²	1	4	yes	complemented
101	C₅₃×#551	C₂²	1	4	yes	complemented
102	C₅₃×#551	C₂²	1	4	yes	complemented
103	C₅₃×#551	C₂²	1	4	yes	complemented
104	C₅₃×#551	C₂²	1	4	yes	complemented
105	C₅₃×#551	C₂²	1	4	yes	complemented
106	C₅₃×#551	C₂²	1	4	yes	complemented
107	C₅₃×#551	C₂²	1	4	yes	complemented
108	C₅₃×#551	C₂²	1	4	yes	complemented
109	C₅₃×#551	C₂²	1	4	yes	complemented
110	C₅₃×#550	C₂²	1	4	yes	complemented
111	C₅₃×#550	C₂²	1	1	yes	characteristic, complemented
112	C₅₃×#550	C₂²	1	1	yes	characteristic, complemented
113	C₅₃×#550	C₂²	1	2	yes	complemented
114	C₅₃×#550	C₂²	1	2	yes	complemented
115	C₅₃×#550	C₂²	1	4	yes	complemented
116	D₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
117	C₅₃×#548	C₂²	1	2	yes	complemented
118	C₅₃×#548	C₂²	1	4	yes	complemented
119	C₅₃×#547	C₂²	1	1	yes	characteristic, complemented
120	C₅₃×#547	C₂²	1	2	yes	complemented
121	C₅₃×#547	C₂²	1	2	yes	complemented
122	C₅₃×#547	C₂²	1	2	yes	complemented
123	C₅₃×#547	C₂²	1	2	yes	complemented
124	C₅₃×#547	C₂²	1	2	yes	complemented
125	C₅₃×#547	C₂²	1	4	yes	complemented
126	C₅₃×#547	C₂²	1	4	yes	complemented
127	C₅₃×#546	C₂²	1	4	yes	complemented
128	C₅₃×#546	C₂²	1	4	yes	complemented
129	C₅₃×#546	C₂²	1	4	yes	complemented
130	C₅₃×#546	C₂²	1	4	yes	complemented
131	C₅₃×#546	C₂²	1	4	yes	complemented
132	C₅₃×#546	C₂²	1	2	yes	complemented
133	C₅₃×#546	C₂²	1	2	yes	complemented
134	C₅₃×#546	C₂²	1	2	yes	complemented
135	C₅₃×#546	C₂²	1	2	yes	complemented
136	C₅₃×#546	C₂²	1	4	yes	complemented
137	C₅₃×#546	C₂²	1	4	yes	complemented
138	C₅₃×#546	C₂²	1	4	yes	complemented
139	C₅₃×#546	C₂²	1	4	yes	complemented
140	C₅₃×#546	C₂²	1	4	yes	complemented
141	C₅₃×#546	C₂²	1	4	yes	complemented
142	D₄²×C₅₃	C₂²	1	1	yes	characteristic
143	D₄²×C₅₃	C₂²	1	2	yes	complemented
144	D₄²×C₅₃	C₂²	1	2	yes	complemented
145	D₄²×C₅₃	C₂²	1	2	yes	complemented
146	D₄²×C₅₃	C₂²	1	2	yes	complemented
147	D₄²×C₅₃	C₂²	1	2	yes	complemented
148	D₄²×C₅₃	C₂²	1	4	yes	complemented
149	D₄²×C₅₃	C₂²	1	4	yes	complemented
150	C₅₃×#544	C₂²	1	2	yes	complemented
151	C₅₃×#544	C₂²	1	2	yes	complemented
152	C₅₃×#544	C₂²	1	2	yes	complemented
153	C₅₃×#542	C₂²	1	4	yes	complemented
154	C₅₃×#542	C₂²	1	4	yes	complemented
155	C₅₃×#542	C₂²	1	2	yes	complemented
156	C₅₃×#542	C₂²	1	2	yes	complemented
157	C₅₃×#542	C₂²	1	4	yes	complemented
158	C₅₃×#542	C₂²	1	4	yes	complemented
159	C₅₃×#542	C₂²	1	4	yes	complemented
160	C₅₃×#542	C₂²	1	4	yes	complemented
161	C₅₃×#542	C₂²	1	4	yes	complemented
162	C₅₃×#541	C₂²	1	2	yes	complemented
163	C₅₃×#541	C₂²	1	4	yes	complemented
164	C₅₃×#540	C₂²	1	4	yes	complemented
165	C₅₃×#540	C₂²	1	4	yes	complemented
166	C₅₃×#540	C₂²	1	2	yes	complemented
167	C₅₃×#540	C₂²	1	2	yes	complemented
168	C₅₃×#540	C₂²	1	2	yes	complemented
169	C₅₃×#540	C₂²	1	4	yes	complemented
170	C₅₃×#540	C₂²	1	2	yes	complemented
171	C₅₃×#540	C₂²	1	2	yes	complemented
172	C₅₃×#540	C₂²	1	4	yes	complemented
173	C₅₃×#540	C₂²	1	4	yes	complemented
174	C₅₃×#539	C₂²	1	4	yes	complemented
175	C₅₃×#539	C₂²	1	2	yes	complemented
176	C₅₃×#539	C₂²	1	4	yes	complemented
177	C₅₃×#539	C₂²	1	4	yes	complemented
178	C₅₃×#539	C₂²	1	4	yes	complemented
179	C₅₃×#539	C₂²	1	2	yes	complemented
180	C₅₃×#538	C₂²	1	4	yes	complemented
181	C₅₃×#538	C₂²	1	4	yes	complemented
182	C₅₃×#538	C₂²	1	4	yes	complemented
183	C₅₃×#538	C₂²	1	4	yes	complemented
184	C₅₃×#538	C₂²	1	4	yes	complemented
185	C₅₃×#538	C₂²	1	4	yes	complemented
186	C₅₃×#538	C₂²	1	4	yes	complemented
187	C₅₃×#538	C₂²	1	4	yes	complemented
188	C₅₃×#538	C₂²	1	4	yes	complemented
189	C₅₃×#538	C₂²	1	4	yes	complemented
190	C₅₃×#538	C₂²	1	4	yes	complemented
191	C₅₃×#538	C₂²	1	4	yes	complemented
192	C₅₃×#538	C₂²	1	4	yes	complemented
193	C₅₃×#538	C₂²	1	4	yes	complemented
194	C₅₃×#537	C₂²	1	2	yes	complemented
195	C₅₃×#537	C₂²	1	1	yes	characteristic, complemented
196	C₅₃×#537	C₂²	1	1	yes	characteristic, complemented
197	C₅₃×#537	C₂²	1	4	yes	complemented
198	C₅₃×#537	C₂²	1	2	yes	complemented
199	C₅₃×#537	C₂²	1	2	yes	complemented
200	C₅₃×#536	C₂²	1	4	yes	complemented
201	C₅₃×#535	C₂²	1	2	yes	complemented
202	C₅₃×#535	C₂²	1	2	yes	complemented
203	C₅₃×#535	C₂²	1	2	yes	complemented
204	C₅₃×#535	C₂²	1	2	yes	complemented
205	C₅₃×#535	C₂²	1	4	yes	complemented
206	C₅₃×#535	C₂²	1	4	yes	complemented
207	C₅₃×#535	C₂²	1	4	yes	complemented
208	C₅₃×#535	C₂²	1	4	yes	complemented
209	C₅₃×#535	C₂²	1	4	yes	complemented
210	C₅₃×#534	C₂²	1	4	yes	complemented
211	C₅₃×#534	C₂²	1	4	yes	complemented
212	C₅₃×#534	C₂²	1	4	yes	complemented
213	C₅₃×#534	C₂²	1	4	yes	complemented
214	C₅₃×#533	C₂²	1	2	yes	complemented
215	C₅₃×#532	C₂²	1	4	yes	complemented
216	C₅₃×#532	C₂²	1	4	yes	complemented
217	C₅₃×#532	C₂²	1	2	yes	complemented
218	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
219	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
220	C₅₃×#532	C₂²	1	2	yes	complemented
221	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
222	C₅₃×#532	C₂²	1	2	yes	complemented
223	C₅₃×#529	C₂²	1	4	yes	complemented
224	C₅₃×#529	C₂²	1	4	yes	complemented
225	C₅₃×#529	C₂²	1	4	yes	complemented
226	C₅₃×#529	C₂²	1	4	yes	complemented
227	C₅₃×#529	C₂²	1	2	yes	complemented
228	C₅₃×#529	C₂²	1	2	yes	complemented
229	C₅₃×#529	C₂²	1	2	yes	complemented
230	C₅₃×#529	C₂²	1	2	yes	complemented
231	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
232	C₅₃×#529	C₂²	1	2	yes	complemented
233	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
234	C₅₃×#529	C₂²	1	2	yes	complemented
235	C₅₃×#529	C₂²	1	2	yes	complemented
236	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
237	C₂×#124×C₅₃	C₂²	1	2	yes	complemented
238	C₅₃×#525	C₂²	1	2	yes	complemented
239	C₅₃×#525	C₂²	1	2	yes	complemented
240	C₅₃×#525	C₂²	1	2	yes	complemented
241	C₅₃×#525	C₂²	1	2	yes	complemented
242	C₅₃×#525	C₂²	1	4	yes	complemented
243	C₅₃×#525	C₂²	1	4	yes	complemented
244	C₅₃×#525	C₂²	1	4	yes	complemented
245	C₅₃×#525	C₂²	1	4	yes	complemented
246	C₂×#123×C₅₃	C₂²	1	4	yes	complemented
247	C₂×#121×C₅₃	C₂²	1	2	yes	complemented
248	C₂×#121×C₅₃	C₂²	1	2	yes	complemented
249	C₂×#121×C₅₃	C₂²	1	4	yes	complemented
250	C₅₃×#520	C₂²	1	2	yes	complemented
251	C₅₃×#520	C₂²	1	2	yes	complemented
252	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
253	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
254	C₅₃×#518	C₂²	1	2	yes	complemented
255	C₅₃×#518	C₂²	1	2	yes	complemented
256	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
257	C₂×C₄×D₄×C₅₃	C₂²	1	2	yes	complemented
258	C₂×#117×C₅₃	C₂²	1	2	yes	complemented
259	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
260	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
261	C₂×#41×C₅₃	C₂³	1	2	yes	—
262	C₂×#41×C₅₃	C₂³	1	2	yes	—
263	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
264	C₂×#41×C₅₃	C₂³	1	2	yes	—
265	C₂×#41×C₅₃	C₂³	1	4	yes	—
266	C₂×#41×C₅₃	C₂³	1	4	yes	—
267	C₂×#41×C₅₃	C₂³	1	2	yes	—
268	C₂×#41×C₅₃	C₂³	1	2	yes	—
269	C₂×#41×C₅₃	C₂³	1	2	yes	—
270	C₂×#41×C₅₃	C₂³	1	4	yes	—
271	C₂×#41×C₅₃	C₂³	1	4	yes	—
272	C₂×#41×C₅₃	C₂³	1	4	yes	—
273	C₂²×Q₈×C₅₃	C₂³	1	2	yes	—
274	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
275	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
276	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
277	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
278	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
279	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
280	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
281	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
282	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
283	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
284	C₂³×C₄×C₅₃	C₂³	1	2	yes	—
285	C₂³×C₄×C₅₃	C₂³	1	4	yes	—
286	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
287	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
288	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
289	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
290	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
291	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
292	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
293	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
294	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
295	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
296	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
297	#127×C₅₃	C₂³	1	4	yes	—
298	#127×C₅₃	C₂³	1	2	yes	—
299	#127×C₅₃	C₂³	1	2	yes	—
300	#127×C₅₃	C₂³	1	4	yes	—
301	#127×C₅₃	C₂³	1	1	yes	characteristic
302	#127×C₅₃	C₂³	1	1	yes	characteristic
303	#127×C₅₃	C₂³	1	2	yes	—
304	#127×C₅₃	C₂³	1	1	yes	characteristic
305	#127×C₅₃	C₂³	1	4	yes	—
306	#127×C₅₃	C₂³	1	4	yes	—
307	#127×C₅₃	C₂³	1	4	yes	—
308	#126×C₅₃	C₂³	1	4	yes	—
309	#126×C₅₃	C₂³	1	4	yes	—
310	#126×C₅₃	C₂³	1	4	yes	—
311	#126×C₅₃	C₂³	1	2	yes	—
312	#126×C₅₃	C₂³	1	4	yes	—
313	#126×C₅₃	C₂³	1	2	yes	—
314	#126×C₅₃	C₂³	1	4	yes	—
315	#126×C₅₃	C₂³	1	4	yes	—
316	#126×C₅₃	C₂³	1	4	yes	—
317	#126×C₅₃	C₂³	1	4	yes	—
318	#126×C₅₃	C₂³	1	4	yes	—
319	#126×C₅₃	C₂³	1	4	yes	—
320	#126×C₅₃	C₂³	1	4	yes	—
321	#126×C₅₃	C₂³	1	2	yes	—
322	#126×C₅₃	C₂³	1	2	yes	—
323	#126×C₅₃	C₂³	1	4	yes	—
324	#126×C₅₃	C₂³	1	4	yes	—
325	#126×C₅₃	C₂³	1	2	yes	—
326	#126×C₅₃	C₂³	1	2	yes	—
327	#126×C₅₃	C₂³	1	4	yes	—
328	#126×C₅₃	C₂³	1	4	yes	—
329	#126×C₅₃	C₂³	1	4	yes	—
330	#126×C₅₃	C₂³	1	4	yes	—
331	#126×C₅₃	C₂³	1	4	yes	—
332	#126×C₅₃	C₂³	1	4	yes	—
333	#126×C₅₃	C₂³	1	4	yes	—
334	#126×C₅₃	C₂³	1	4	yes	—
335	#125×C₅₃	C₂³	1	2	yes	—
336	#125×C₅₃	C₂³	1	2	yes	—
337	#125×C₅₃	C₂³	1	2	yes	—
338	#125×C₅₃	C₂³	1	2	yes	—
339	#125×C₅₃	C₂³	1	1	yes	characteristic
340	#125×C₅₃	C₂³	1	1	yes	characteristic
341	#125×C₅₃	C₂³	1	4	yes	—
342	#125×C₅₃	C₂³	1	2	yes	—
343	#125×C₅₃	C₂³	1	4	yes	—
344	#125×C₅₃	C₂³	1	4	yes	—
345	#125×C₅₃	C₂³	1	4	yes	—
346	#125×C₅₃	C₂³	1	2	yes	—
347	#125×C₅₃	C₂³	1	2	yes	—
348	#125×C₅₃	C₂³	1	2	yes	—
349	#125×C₅₃	C₂³	1	2	yes	—
350	#125×C₅₃	C₂³	1	4	yes	—
351	#125×C₅₃	C₂³	1	4	yes	—
352	#125×C₅₃	C₂³	1	4	yes	—
353	#124×C₅₃	C₂³	1	1	yes	characteristic
354	#124×C₅₃	C₂³	1	2	yes	—
355	#124×C₅₃	C₂³	1	4	yes	—
356	#124×C₅₃	C₂³	1	2	yes	—
357	#124×C₅₃	C₂³	1	2	yes	—
358	#124×C₅₃	C₂³	1	4	yes	—
359	#124×C₅₃	C₂³	1	1	yes	characteristic
360	#124×C₅₃	C₂³	1	1	yes	characteristic
361	#124×C₅₃	C₂³	1	2	yes	—
362	#124×C₅₃	C₂³	1	1	yes	characteristic
363	#124×C₅₃	C₂³	1	4	yes	—
364	#124×C₅₃	C₂³	1	4	yes	—
365	#124×C₅₃	C₂³	1	4	yes	—
366	#124×C₅₃	C₂³	1	2	yes	—
367	#124×C₅₃	C₂³	1	4	yes	—
368	#124×C₅₃	C₂³	1	2	yes	—
369	#124×C₅₃	C₂³	1	2	yes	—
370	#124×C₅₃	C₂³	1	4	yes	—
371	#124×C₅₃	C₂³	1	4	yes	—
372	#124×C₅₃	C₂³	1	4	yes	—
373	#124×C₅₃	C₂³	1	4	yes	—
374	#124×C₅₃	C₂³	1	4	yes	—
375	#124×C₅₃	C₂³	1	2	yes	—
376	#124×C₅₃	C₂³	1	2	yes	—
377	#124×C₅₃	C₂³	1	4	yes	—
378	#124×C₅₃	C₂³	1	4	yes	—
379	#124×C₅₃	C₂³	1	4	yes	—
380	#124×C₅₃	C₂³	1	4	yes	—
381	#124×C₅₃	C₂³	1	4	yes	—
382	#124×C₅₃	C₂³	1	4	yes	—
383	#124×C₅₃	C₂³	1	4	yes	—
384	#124×C₅₃	C₂³	1	4	yes	—
385	#124×C₅₃	C₂³	1	4	yes	—
386	#123×C₅₃	C₂³	1	2	yes	—
387	#123×C₅₃	C₂³	1	4	yes	—
388	#123×C₅₃	C₂³	1	4	yes	—
389	#123×C₅₃	C₂³	1	4	yes	—
390	#123×C₅₃	C₂³	1	4	yes	—
391	#123×C₅₃	C₂³	1	4	yes	—
392	#123×C₅₃	C₂³	1	4	yes	—
393	#123×C₅₃	C₂³	1	4	yes	—
394	#123×C₅₃	C₂³	1	2	yes	—
395	#123×C₅₃	C₂³	1	2	yes	—
396	#123×C₅₃	C₂³	1	2	yes	—
397	#123×C₅₃	C₂³	1	4	yes	—
398	#123×C₅₃	C₂³	1	4	yes	—
399	#123×C₅₃	C₂³	1	4	yes	—
400	#123×C₅₃	C₂³	1	4	yes	—
401	#123×C₅₃	C₂³	1	2	yes	—
402	#123×C₅₃	C₂³	1	2	yes	—
403	#123×C₅₃	C₂³	1	4	yes	—
404	#123×C₅₃	C₂³	1	4	yes	—
405	#123×C₅₃	C₂³	1	4	yes	—
406	#123×C₅₃	C₂³	1	2	yes	—
407	#123×C₅₃	C₂³	1	2	yes	—
408	#123×C₅₃	C₂³	1	4	yes	—
409	#123×C₅₃	C₂³	1	4	yes	—
410	#123×C₅₃	C₂³	1	4	yes	—
411	#123×C₅₃	C₂³	1	2	yes	—
412	#123×C₅₃	C₂³	1	4	yes	—
413	#123×C₅₃	C₂³	1	4	yes	—
414	#123×C₅₃	C₂³	1	4	yes	—
415	#123×C₅₃	C₂³	1	2	yes	—
416	#123×C₅₃	C₂³	1	4	yes	—
417	#123×C₅₃	C₂³	1	2	yes	—
418	#123×C₅₃	C₂³	1	4	yes	—
419	#123×C₅₃	C₂³	1	2	yes	—
420	#123×C₅₃	C₂³	1	4	yes	—
421	#123×C₅₃	C₂³	1	4	yes	—
422	#123×C₅₃	C₂³	1	4	yes	—
423	#123×C₅₃	C₂³	1	4	yes	—
424	#123×C₅₃	C₂³	1	4	yes	—
425	#123×C₅₃	C₂³	1	4	yes	—
426	#123×C₅₃	C₂³	1	4	yes	—
427	#123×C₅₃	C₂³	1	4	yes	—
428	#123×C₅₃	C₂³	1	4	yes	—
429	#123×C₅₃	C₂³	1	4	yes	—
430	#123×C₅₃	C₂³	1	4	yes	—
431	#123×C₅₃	C₂³	1	4	yes	—
432	#123×C₅₃	C₂³	1	4	yes	—
433	#123×C₅₃	C₂³	1	4	yes	—
434	#123×C₅₃	C₂³	1	4	yes	—
435	#123×C₅₃	C₂³	1	4	yes	—
436	#123×C₅₃	C₂³	1	4	yes	—
437	#123×C₅₃	C₂³	1	4	yes	—
438	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
439	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
440	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
441	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
442	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
443	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
444	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
445	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
446	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
447	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
448	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
449	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
450	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
451	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
452	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
453	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
454	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
455	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
456	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
457	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
458	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
459	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
460	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
461	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
462	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
463	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
464	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
465	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
466	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
467	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
468	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
469	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
470	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
471	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
472	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
473	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
474	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
475	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
476	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
477	#121×C₅₃	C₂³	1	2	yes	—
478	#121×C₅₃	C₂³	1	4	yes	—
479	#121×C₅₃	C₂³	1	4	yes	—
480	#121×C₅₃	C₂³	1	4	yes	—
481	#121×C₅₃	C₂³	1	4	yes	—
482	#121×C₅₃	C₂³	1	4	yes	—
483	#121×C₅₃	C₂³	1	4	yes	—
484	#121×C₅₃	C₂³	1	4	yes	—
485	#121×C₅₃	C₂³	1	2	yes	—
486	#121×C₅₃	C₂³	1	2	yes	—
487	#121×C₅₃	C₂³	1	2	yes	—
488	#121×C₅₃	C₂³	1	2	yes	—
489	#121×C₅₃	C₂³	1	2	yes	—
490	#121×C₅₃	C₂³	1	2	yes	—
491	#121×C₅₃	C₂³	1	2	yes	—
492	#121×C₅₃	C₂³	1	2	yes	—
493	#121×C₅₃	C₂³	1	4	yes	—
494	#121×C₅₃	C₂³	1	4	yes	—
495	#121×C₅₃	C₂³	1	4	yes	—
496	#121×C₅₃	C₂³	1	4	yes	—
497	#121×C₅₃	C₂³	1	2	yes	—
498	#121×C₅₃	C₂³	1	2	yes	—
499	#121×C₅₃	C₂³	1	2	yes	—
500	#121×C₅₃	C₂³	1	2	yes	—
501	#121×C₅₃	C₂³	1	2	yes	—
502	#121×C₅₃	C₂³	1	2	yes	—
503	#121×C₅₃	C₂³	1	4	yes	—
504	#121×C₅₃	C₂³	1	2	yes	—
505	#121×C₅₃	C₂³	1	2	yes	—
506	#121×C₅₃	C₂³	1	4	yes	—
507	#121×C₅₃	C₂³	1	4	yes	—
508	#121×C₅₃	C₂³	1	4	yes	—
509	#121×C₅₃	C₂³	1	4	yes	—
510	#121×C₅₃	C₂³	1	2	yes	—
511	#121×C₅₃	C₂³	1	2	yes	—
512	#121×C₅₃	C₂³	1	2	yes	—
513	#121×C₅₃	C₂³	1	4	yes	—
514	#121×C₅₃	C₂³	1	2	yes	—
515	#121×C₅₃	C₂³	1	2	yes	—
516	#121×C₅₃	C₂³	1	1	yes	characteristic
517	#121×C₅₃	C₂³	1	1	yes	characteristic
518	#121×C₅₃	C₂³	1	4	yes	—
519	#121×C₅₃	C₂³	1	2	yes	—
520	#121×C₅₃	C₂³	1	2	yes	—
521	#121×C₅₃	C₂³	1	2	yes	—
522	#121×C₅₃	C₂³	1	4	yes	—
523	#121×C₅₃	C₂³	1	2	yes	—
524	#121×C₅₃	C₂³	1	2	yes	—
525	#121×C₅₃	C₂³	1	2	yes	—
526	#121×C₅₃	C₂³	1	2	yes	—
527	#121×C₅₃	C₂³	1	2	yes	—
528	#121×C₅₃	C₂³	1	2	yes	—
529	#121×C₅₃	C₂³	1	2	yes	—
530	#121×C₅₃	C₂³	1	2	yes	—
531	#121×C₅₃	C₂³	1	4	yes	—
532	#121×C₅₃	C₂³	1	4	yes	—
533	#121×C₅₃	C₂³	1	2	yes	—
534	#121×C₅₃	C₂³	1	2	yes	—
535	#121×C₅₃	C₂³	1	4	yes	—
536	#121×C₅₃	C₂³	1	4	yes	—
537	#121×C₅₃	C₂³	1	4	yes	—
538	#121×C₅₃	C₂³	1	4	yes	—
539	#121×C₅₃	C₂³	1	4	yes	—
540	#121×C₅₃	C₂³	1	4	yes	—
541	#121×C₅₃	C₂³	1	4	yes	—
542	#121×C₅₃	C₂³	1	4	yes	—
543	#121×C₅₃	C₂³	1	4	yes	—
544	#121×C₅₃	C₂³	1	4	yes	—
545	#121×C₅₃	C₂³	1	4	yes	—
546	#121×C₅₃	C₂³	1	4	yes	—
547	#121×C₅₃	C₂³	1	4	yes	—
548	#121×C₅₃	C₂³	1	4	yes	—
549	#121×C₅₃	C₂³	1	4	yes	—
550	#121×C₅₃	C₂³	1	4	yes	—
551	#121×C₅₃	C₂³	1	4	yes	—
552	#121×C₅₃	C₂³	1	4	yes	—
553	#121×C₅₃	C₂³	1	4	yes	—
554	#121×C₅₃	C₂³	1	4	yes	—
555	#121×C₅₃	C₂³	1	4	yes	—
556	#121×C₅₃	C₂³	1	4	yes	—
557	#121×C₅₃	C₂³	1	4	yes	—
558	#121×C₅₃	C₂³	1	4	yes	—
559	#121×C₅₃	C₂³	1	4	yes	—
560	#121×C₅₃	C₂³	1	4	yes	—
561	#120×C₅₃	C₂³	1	4	yes	—
562	#120×C₅₃	C₂³	1	4	yes	—
563	#120×C₅₃	C₂³	1	2	yes	—
564	#120×C₅₃	C₂³	1	2	yes	—
565	#120×C₅₃	C₂³	1	4	yes	—
566	#120×C₅₃	C₂³	1	4	yes	—
567	#120×C₅₃	C₂³	1	4	yes	—
568	#120×C₅₃	C₂³	1	4	yes	—
569	#120×C₅₃	C₂³	1	2	yes	—
570	#120×C₅₃	C₂³	1	2	yes	—
571	#120×C₅₃	C₂³	1	4	yes	—
572	#120×C₅₃	C₂³	1	4	yes	—
573	#120×C₅₃	C₂³	1	4	yes	—
574	#120×C₅₃	C₂³	1	2	yes	—
575	#120×C₅₃	C₂³	1	2	yes	—
576	#120×C₅₃	C₂³	1	4	yes	—
577	#120×C₅₃	C₂³	1	4	yes	—
578	#120×C₅₃	C₂³	1	4	yes	—
579	#120×C₅₃	C₂³	1	4	yes	—
580	#120×C₅₃	C₂³	1	4	yes	—
581	#120×C₅₃	C₂³	1	4	yes	—
582	#120×C₅₃	C₂³	1	4	yes	—
583	#120×C₅₃	C₂³	1	4	yes	—
584	#120×C₅₃	C₂³	1	4	yes	—
585	#120×C₅₃	C₂³	1	4	yes	—
586	#120×C₅₃	C₂³	1	4	yes	—
587	#120×C₅₃	C₂³	1	4	yes	—
588	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
589	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
590	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
591	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
592	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
593	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
594	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
595	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
596	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
597	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
598	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
599	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
600	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
601	C₄×D₄×C₅₃	C₂³	1	2	yes	—
602	C₄×D₄×C₅₃	C₂³	1	2	yes	—
603	C₄×D₄×C₅₃	C₂³	1	4	yes	—
604	C₄×D₄×C₅₃	C₂³	1	4	yes	—
605	C₄×D₄×C₅₃	C₂³	1	2	yes	—
606	C₄×D₄×C₅₃	C₂³	1	2	yes	—
607	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
608	C₄×D₄×C₅₃	C₂³	1	2	yes	—
609	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
610	C₄×D₄×C₅₃	C₂³	1	2	yes	—
611	C₄×D₄×C₅₃	C₂³	1	4	yes	—
612	C₄×D₄×C₅₃	C₂³	1	4	yes	—
613	C₄×D₄×C₅₃	C₂³	1	2	yes	—
614	C₄×D₄×C₅₃	C₂³	1	4	yes	—
615	C₄×D₄×C₅₃	C₂³	1	2	yes	—
616	C₄×D₄×C₅₃	C₂³	1	2	yes	—
617	C₄×D₄×C₅₃	C₂³	1	2	yes	—
618	C₄×D₄×C₅₃	C₂³	1	4	yes	—
619	C₄×D₄×C₅₃	C₂³	1	2	yes	—
620	C₄×D₄×C₅₃	C₂³	1	4	yes	—
621	C₄×D₄×C₅₃	C₂³	1	4	yes	—
622	C₄×D₄×C₅₃	C₂³	1	4	yes	—
623	C₄×D₄×C₅₃	C₂³	1	4	yes	—
624	C₄×D₄×C₅₃	C₂³	1	4	yes	—
625	C₄×D₄×C₅₃	C₂³	1	4	yes	—
626	C₄×D₄×C₅₃	C₂³	1	2	yes	—
627	C₄×D₄×C₅₃	C₂³	1	2	yes	—
628	C₄×D₄×C₅₃	C₂³	1	4	yes	—
629	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
630	C₄×D₄×C₅₃	C₂³	1	2	yes	—
631	C₄×D₄×C₅₃	C₂³	1	2	yes	—
632	C₄×D₄×C₅₃	C₂³	1	2	yes	—
633	C₄×D₄×C₅₃	C₂³	1	4	yes	—
634	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
635	C₄×D₄×C₅₃	C₂³	1	2	yes	—
636	C₄×D₄×C₅₃	C₂³	1	2	yes	—
637	C₄×D₄×C₅₃	C₂³	1	2	yes	—
638	C₄×D₄×C₅₃	C₂³	1	2	yes	—
639	C₄×D₄×C₅₃	C₂³	1	2	yes	—
640	C₄×D₄×C₅₃	C₂³	1	4	yes	—
641	C₄×D₄×C₅₃	C₂³	1	4	yes	—
642	C₄×D₄×C₅₃	C₂³	1	4	yes	—
643	C₄×D₄×C₅₃	C₂³	1	2	yes	—
644	C₄×D₄×C₅₃	C₂³	1	4	yes	—
645	C₄×D₄×C₅₃	C₂³	1	4	yes	—
646	C₄×D₄×C₅₃	C₂³	1	4	yes	—
647	C₄×D₄×C₅₃	C₂³	1	4	yes	—
648	C₄×D₄×C₅₃	C₂³	1	2	yes	—
649	C₄×D₄×C₅₃	C₂³	1	4	yes	—
650	C₄×D₄×C₅₃	C₂³	1	4	yes	—
651	C₄×D₄×C₅₃	C₂³	1	4	yes	—
652	C₄×D₄×C₅₃	C₂³	1	4	yes	—
653	C₄×D₄×C₅₃	C₂³	1	4	yes	—
654	C₄×D₄×C₅₃	C₂³	1	4	yes	—
655	C₄×D₄×C₅₃	C₂³	1	4	yes	—
656	C₄×D₄×C₅₃	C₂³	1	4	yes	—
657	C₄×D₄×C₅₃	C₂³	1	4	yes	—
658	C₄×D₄×C₅₃	C₂³	1	2	yes	—
659	C₄×D₄×C₅₃	C₂³	1	2	yes	—
660	#117×C₅₃	C₂³	1	2	yes	—
661	#117×C₅₃	C₂³	1	2	yes	—
662	#117×C₅₃	C₂³	1	2	yes	—
663	#117×C₅₃	C₂³	1	2	yes	—
664	#117×C₅₃	C₂³	1	4	yes	—
665	#117×C₅₃	C₂³	1	4	yes	—
666	#117×C₅₃	C₂³	1	1	yes	characteristic
667	#117×C₅₃	C₂³	1	2	yes	—
668	#117×C₅₃	C₂³	1	2	yes	—
669	#117×C₅₃	C₂³	1	2	yes	—
670	#117×C₅₃	C₂³	1	2	yes	—
671	#117×C₅₃	C₂³	1	2	yes	—
672	#117×C₅₃	C₂³	1	4	yes	—
673	#117×C₅₃	C₂³	1	2	yes	—
674	#117×C₅₃	C₂³	1	2	yes	—
675	#117×C₅₃	C₂³	1	4	yes	—
676	#117×C₅₃	C₂³	1	4	yes	—
677	#117×C₅₃	C₂³	1	4	yes	—
678	#117×C₅₃	C₂³	1	4	yes	—
679	#117×C₅₃	C₂³	1	4	yes	—
680	#117×C₅₃	C₂³	1	4	yes	—
681	#117×C₅₃	C₂³	1	4	yes	—
682	#117×C₅₃	C₂³	1	4	yes	—
683	#117×C₅₃	C₂³	1	4	yes	—
684	#117×C₅₃	C₂³	1	4	yes	—
685	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
686	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
687	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
688	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
689	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
690	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
691	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
692	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
693	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
694	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
695	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
696	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
697	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
698	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
699	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
700	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
701	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
702	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
703	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
704	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
705	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
706	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
707	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
708	C₂×C₄²×C₅₃	C₂³	1	4	yes	—
709	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
710	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
711	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
712	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
713	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
714	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
715	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
716	#41×C₅₃	—	4	2	no	—
717	#41×C₅₃	—	4	4	no	—
718	#41×C₅₃	—	4	2	no	—
719	#41×C₅₃	—	4	4	no	—
720	#41×C₅₃	—	4	2	no	—
721	#41×C₅₃	—	8	2	no	—
722	#41×C₅₃	—	8	4	no	—
723	#41×C₅₃	—	8	4	no	—
724	#41×C₅₃	—	8	2	no	—
725	#41×C₅₃	—	8	2	no	—
726	#41×C₅₃	—	8	4	no	—
727	#41×C₅₃	—	8	4	no	—
728	#41×C₅₃	—	8	4	no	—
729	#41×C₅₃	—	8	2	no	—
730	C₂×Q₈×C₅₃	—	8	2	no	—
731	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
732	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
733	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
734	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
735	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
736	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
737	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
738	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
739	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
740	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
741	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
742	C₂×D₄×C₅₃	—	4	4	no	—
743	C₂×D₄×C₅₃	—	4	4	no	—
744	C₂×D₄×C₅₃	—	4	4	no	—
745	C₂×D₄×C₅₃	—	8	4	no	—
746	C₂×D₄×C₅₃	—	8	2	no	—
747	C₂×D₄×C₅₃	—	8	4	no	—
748	C₂×D₄×C₅₃	—	8	4	no	—
749	C₂×D₄×C₅₃	—	8	4	no	—
750	C₂×D₄×C₅₃	—	8	4	no	—
751	C₂×D₄×C₅₃	—	8	4	no	—
752	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
753	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
754	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
755	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
756	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
757	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
758	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
759	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
760	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
761	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
762	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
763	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
764	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
765	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
766	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
767	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
768	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
769	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
770	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
771	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
772	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
773	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
774	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
775	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
776	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
777	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
778	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
779	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
780	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
781	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
782	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
783	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
784	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
785	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
786	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
787	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
788	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
789	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
790	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
791	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
792	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
793	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
794	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
795	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
796	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
797	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
798	C₂²×C₄×C₅₃	—	4	4	no	—
799	C₂²×C₄×C₅₃	—	8	4	no	—
800	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
801	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
802	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
803	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
804	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
805	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
806	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
807	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
808	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
809	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
810	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
811	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
812	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
813	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
814	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
815	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
816	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
817	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
818	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
819	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
820	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
821	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
822	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
823	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
824	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
825	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
826	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
827	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
828	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
829	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
830	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
831	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
832	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
833	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
834	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
835	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
836	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
837	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
838	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
839	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
840	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
841	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
842	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
843	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
844	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
845	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
846	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
847	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
848	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
849	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
850	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
851	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
852	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
853	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
854	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
855	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
856	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
857	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
858	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
859	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
860	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
861	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
862	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
863	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
864	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
865	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
866	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
867	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
868	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
869	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
870	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
871	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
872	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
873	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
874	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
875	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
876	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
877	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
878	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
879	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
880	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
881	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
882	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
883	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
884	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
885	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
886	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
887	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
888	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
889	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
890	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
891	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
892	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
893	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
894	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
895	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
896	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
897	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
898	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
899	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
900	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
901	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
902	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
903	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
904	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
905	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
906	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
907	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
908	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
909	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
910	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
911	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
912	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
913	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
914	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
915	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
916	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
917	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
918	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
919	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
920	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
921	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
922	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
923	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
924	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
925	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
926	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
927	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
928	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
929	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
930	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
931	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
932	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
933	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
934	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
935	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
936	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
937	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
938	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
939	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
940	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
941	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
942	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
943	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
944	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
945	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
946	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
947	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
948	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
949	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
950	C₄²×C₅₃	C₂⁴	1	4	yes	—
951	C₄²×C₅₃	C₂⁴	1	4	yes	—
952	C₄²×C₅₃	C₂⁴	1	2	yes	—
953	C₄²×C₅₃	C₂⁴	1	4	yes	—
954	C₄²×C₅₃	C₂⁴	1	2	yes	—
955	C₄²×C₅₃	C₂⁴	1	2	yes	—
956	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
957	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
958	C₄²×C₅₃	C₂⁴	1	2	yes	—
959	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
960	C₄²×C₅₃	C₂⁴	1	4	yes	—
961	C₄²×C₅₃	C₂⁴	1	2	yes	—
962	C₄²×C₅₃	C₂⁴	1	2	yes	—
963	C₄²×C₅₃	C₂⁴	1	2	yes	—
964	C₄²×C₅₃	C₂⁴	1	4	yes	—
965	C₄²×C₅₃	C₂⁴	1	4	yes	—
966	C₄²×C₅₃	C₂⁴	1	4	yes	—
967	C₄²×C₅₃	C₂⁴	1	4	yes	—
968	C₂³×C₅₃	—	4	2	no	—
969	C₂³×C₅₃	—	4	4	no	—
970	C₂³×C₅₃	—	4	4	no	—
971	C₂³×C₅₃	—	4	2	no	—
972	C₂³×C₅₃	—	4	2	no	—
973	C₂³×C₅₃	—	4	4	no	—
974	C₂³×C₅₃	—	4	4	no	—
975	C₂³×C₅₃	—	4	4	no	—
976	C₂³×C₅₃	—	4	4	no	—
977	C₂³×C₅₃	—	4	4	no	—
978	C₂³×C₅₃	—	4	4	no	—
979	C₂³×C₅₃	—	4	4	no	—
980	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
981	C₂³×C₅₃	C₂⁵	1	2	yes	—
982	C₂³×C₅₃	C₂⁵	1	2	yes	—
983	C₂³×C₅₃	C₂⁵	1	2	yes	—
984	C₂³×C₅₃	C₂⁵	1	4	yes	—
985	C₂³×C₅₃	C₂⁵	1	2	yes	—
986	C₂³×C₅₃	C₂⁵	1	2	yes	—
987	C₂³×C₅₃	C₂⁵	1	4	yes	—
988	Q₈×C₅₃	—	2	2	no	—
989	Q₈×C₅₃	—	4	1	no	—
990	Q₈×C₅₃	—	4	4	no	—
991	Q₈×C₅₃	—	4	2	no	—
992	Q₈×C₅₃	—	4	2	no	—
993	Q₈×C₅₃	—	4	1	no	—
994	Q₈×C₅₃	—	4	1	no	—
995	Q₈×C₅₃	—	4	1	no	—
996	Q₈×C₅₃	—	4	4	no	—
997	Q₈×C₅₃	—	4	4	no	—
998	Q₈×C₅₃	—	4	2	no	—
999	D₄×C₅₃	—	2	4	no	—
1000	D₄×C₅₃	—	2	4	no	—
1001	D₄×C₅₃	—	2	2	no	—
1002	D₄×C₅₃	—	4	4	no	—
1003	D₄×C₅₃	—	4	4	no	—
1004	D₄×C₅₃	—	4	4	no	—
1005	D₄×C₅₃	—	4	2	no	—
1006	D₄×C₅₃	—	4	2	no	—
1007	D₄×C₅₃	—	4	2	no	—
1008	D₄×C₅₃	—	4	2	no	—
1009	D₄×C₅₃	—	4	2	no	—
1010	D₄×C₅₃	—	4	4	no	—
1011	D₄×C₅₃	—	4	4	no	—
1012	D₄×C₅₃	—	4	4	no	—
1013	D₄×C₅₃	—	4	4	no	—
1014	D₄×C₅₃	—	4	2	no	—
1015	D₄×C₅₃	—	4	1	no	—
1016	D₄×C₅₃	—	4	4	no	—
1017	D₄×C₅₃	—	4	4	no	—
1018	D₄×C₅₃	—	4	4	no	—
1019	D₄×C₅₃	—	4	4	no	—
1020	D₄×C₅₃	—	4	4	no	—
1021	D₄×C₅₃	—	4	4	no	—
1022	D₄×C₅₃	—	4	4	no	—
1023	D₄×C₅₃	—	4	4	no	—
1024	D₄×C₅₃	—	4	4	no	—
1025	D₄×C₅₃	—	4	2	no	—
1026	D₄×C₅₃	—	4	4	no	—
1027	D₄×C₅₃	—	4	4	no	—
1028	D₄×C₅₃	—	4	2	no	—
1029	D₄×C₅₃	—	4	2	no	—
1030	D₄×C₅₃	—	4	2	no	—
1031	D₄×C₅₃	—	4	1	no	—
1032	D₄×C₅₃	—	4	1	no	—
1033	D₄×C₅₃	—	4	2	no	—
1034	D₄×C₅₃	—	4	2	no	—
1035	D₄×C₅₃	—	4	4	no	—
1036	D₄×C₅₃	—	4	2	no	—
1037	D₄×C₅₃	—	4	2	no	—
1038	D₄×C₅₃	—	4	2	no	—
1039	D₄×C₅₃	—	4	2	no	—
1040	D₄×C₅₃	—	4	4	no	—
1041	D₄×C₅₃	—	4	2	no	—
1042	D₄×C₅₃	—	4	4	no	—
1043	D₄×C₅₃	—	4	2	no	—
1044	D₄×C₅₃	—	4	1	no	—
1045	C₂×C₄×C₅₃	—	2	4	no	—
1046	C₂×C₄×C₅₃	—	2	4	no	—
1047	C₂×C₄×C₅₃	—	2	4	no	—
1048	C₂×C₄×C₅₃	—	2	4	no	—
1049	C₂×C₄×C₅₃	—	2	2	no	—
1050	C₂×C₄×C₅₃	—	4	2	no	—
1051	C₂×C₄×C₅₃	—	4	2	no	—
1052	C₂×C₄×C₅₃	—	4	2	no	—
1053	C₂×C₄×C₅₃	—	4	2	no	—
1054	C₂×C₄×C₅₃	—	4	4	no	—
1055	C₂×C₄×C₅₃	—	4	4	no	—
1056	C₂×C₄×C₅₃	—	4	4	no	—
1057	C₂×C₄×C₅₃	—	4	4	no	—
1058	C₂×C₄×C₅₃	—	4	4	no	—
1059	C₂×C₄×C₅₃	—	4	2	no	—
1060	C₂×C₄×C₅₃	—	4	4	no	—
1061	C₂×C₄×C₅₃	—	4	4	no	—
1062	C₂×C₄×C₅₃	—	4	4	no	—
1063	C₂×C₄×C₅₃	—	4	4	no	—
1064	C₂×C₄×C₅₃	—	4	4	no	—
1065	C₂×C₄×C₅₃	—	4	4	no	—
1066	C₂×C₄×C₅₃	—	4	4	no	—
1067	C₂×C₄×C₅₃	—	4	2	no	—
1068	C₂×C₄×C₅₃	—	4	4	no	—
1069	C₂×C₄×C₅₃	—	4	2	no	—
1070	C₂×C₄×C₅₃	—	4	1	no	—
1071	C₂×C₄×C₅₃	—	4	1	no	—
1072	C₂×C₄×C₅₃	—	4	2	no	—
1073	C₂×C₄×C₅₃	—	4	2	no	—
1074	C₂×C₄×C₅₃	—	4	4	no	—
1075	C₂×C₄×C₅₃	—	4	4	no	—
1076	C₂×C₄×C₅₃	—	4	2	no	—
1077	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1078	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1079	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1080	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1081	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1082	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1083	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1084	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1085	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1086	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1087	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1088	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1089	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1090	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1091	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1092	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1093	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1094	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1095	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1096	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1097	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1098	#63051	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
1099	C₂²×C₅₃	—	2	2	no	—
1100	C₂²×C₅₃	—	2	2	no	—
1101	C₂²×C₅₃	—	2	2	no	—
1102	C₂²×C₅₃	—	2	1	no	—
1103	C₂²×C₅₃	—	2	2	no	—
1104	C₂²×C₅₃	—	2	4	no	—
1105	C₂²×C₅₃	—	2	2	no	—
1106	C₂²×C₅₃	—	2	4	no	—
1107	C₂²×C₅₃	—	2	1	no	—
1108	C₂²×C₅₃	—	2	1	no	—
1109	C₂²×C₅₃	—	2	2	no	—
1110	C₂²×C₅₃	—	2	4	no	—
1111	C₂²×C₅₃	—	2	2	no	—
1112	C₂²×C₅₃	—	2	2	no	—
1113	C₂²×C₅₃	—	2	2	no	—
1114	C₂²×C₅₃	—	2	4	no	—
1115	C₂²×C₅₃	—	2	2	no	—
1116	C₂²×C₅₃	—	2	2	no	—
1117	C₂²×C₅₃	—	2	4	no	—
1118	C₂²×C₅₃	—	2	2	no	—
1119	C₂²×C₅₃	—	2	4	no	—
1120	C₂²×C₅₃	—	2	2	no	—
1121	C₂²×C₅₃	—	2	2	no	—
1122	C₂²×C₅₃	—	2	2	no	—
1123	C₂²×C₅₃	—	8	4	no	—
1124	C₂²×C₅₃	—	8	8	no	—
1125	C₂²×C₅₃	—	16	4	no	—
1126	C₂²×C₅₃	—	16	4	no	—
1127	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1128	C₄×C₅₃	—	2	2	no	—
1129	C₄×C₅₃	—	2	2	no	—
1130	C₄×C₅₃	—	2	2	no	—
1131	C₄×C₅₃	—	2	1	no	—
1132	C₄×C₅₃	—	2	2	no	—
1133	C₄×C₅₃	—	2	2	no	—
1134	C₄×C₅₃	—	2	2	no	—
1135	C₄×C₅₃	—	2	1	no	—
1136	C₄×C₅₃	—	2	1	no	—
1137	C₄×C₅₃	—	2	2	no	—
1138	C₄×C₅₃	—	2	4	no	—
1139	C₄×C₅₃	—	2	4	no	—
1140	C₄×C₅₃	—	2	2	no	—
1141	C₄×C₅₃	—	2	2	no	—
1142	C₄×C₅₃	—	2	2	no	—
1143	C₄×C₅₃	—	2	4	no	—
1144	C₄×C₅₃	—	2	2	no	—
1145	C₄×C₅₃	—	2	1	no	—
1146	C₄×C₅₃	—	2	4	no	—
1147	C₄×C₅₃	—	2	1	no	—
1148	C₄×C₅₃	#585	1	2	yes	—
1149	#3568	C₂×C₅₃	1	2	yes	complemented
1150	#3566	C₂×C₅₃	1	4	yes	complemented
1151	#3565	C₂×C₅₃	1	2	yes	complemented
1152	#3562	C₂×C₅₃	1	4	yes	complemented
1153	#3559	C₂×C₅₃	1	1	yes	characteristic, complemented
1154	#3559	C₂×C₅₃	1	1	yes	characteristic, complemented
1155	#3558	C₂×C₅₃	1	2	yes	complemented
1156	#3549	C₂×C₅₃	1	1	yes	characteristic, complemented
1157	#3547	C₂×C₅₃	1	2	yes	complemented
1158	#3546	C₂×C₅₃	1	4	yes	complemented
1159	#3546	C₂×C₅₃	1	2	yes	complemented
1160	#3545	C₂×C₅₃	1	2	yes	complemented
1161	#3542	C₂×C₅₃	1	2	yes	complemented
1162	#3542	C₂×C₅₃	1	2	yes	complemented
1163	#3542	C₂×C₅₃	1	4	yes	complemented
1164	#3537	C₂×C₅₃	1	2	yes	complemented
1165	#3534	C₂×C₅₃	1	4	yes	complemented
1166	#3533	C₂×C₅₃	1	4	yes	complemented
1167	#3529	C₂×C₅₃	1	1	yes	characteristic, complemented
1168	#3529	C₂×C₅₃	1	2	yes	complemented
1169	#3519	C₂×C₅₃	1	2	yes	complemented
1170	#3517	C₂×C₅₃	1	1	yes	characteristic, complemented
1171	#3514	C₂×C₅₃	1	1	yes	characteristic, complemented
1172	#3513	C₂×C₅₃	1	2	yes	complemented
1173	#3512	C₂×C₅₃	1	1	yes	characteristic, complemented
1174	#3506	C₂×C₅₃	1	2	yes	complemented
1175	#3494	C₂×C₅₃	1	2	yes	complemented
1176	#3494	C₂×C₅₃	1	2	yes	complemented
1177	#3493	C₂×C₅₃	1	2	yes	complemented
1178	C₂×C₅₃	—	4	1	no	—
1179	C₂×C₅₃	—	4	2	no	—
1180	C₂×C₅₃	—	4	2	no	—
1181	C₂×C₅₃	—	4	4	no	—
1182	C₂×C₅₃	—	4	2	no	—
1183	C₂×C₅₃	—	4	2	no	—
1184	C₂×C₅₃	—	4	4	no	—
1185	C₂×C₅₃	—	4	2	no	—
1186	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1187	C₂×C₅₃	H(7,𝔽₂)	1	1	yes	characteristic
1188	C₂×C₅₃	H(7,𝔽₂)	1	1	yes	characteristic
1189	#563	C₂²×C₅₃	1	4	yes	complemented
1190	#563	C₂²×C₅₃	1	2	yes	complemented
1191	#563	C₂²×C₅₃	1	2	yes	complemented
1192	#563	C₂²×C₅₃	1	1	yes	characteristic, complemented
1193	#563	C₂²×C₅₃	1	2	yes	complemented
1194	#562	C₂²×C₅₃	1	1	yes	characteristic, complemented
1195	#562	C₂²×C₅₃	1	2	yes	complemented
1196	#562	C₂²×C₅₃	1	4	yes	complemented
1197	#562	C₂²×C₅₃	1	4	yes	complemented
1198	#562	C₂²×C₅₃	1	1	yes	characteristic, complemented
1199	#562	C₂²×C₅₃	1	2	yes	complemented
1200	#562	C₂²×C₅₃	1	2	yes	complemented
1201	#562	C₂²×C₅₃	1	4	yes	complemented
1202	#562	C₂²×C₅₃	1	4	yes	complemented
1203	#562	C₂²×C₅₃	1	4	yes	complemented
1204	#562	C₂²×C₅₃	1	2	yes	complemented
1205	H(3,𝔽₄)	C₂²×C₅₃	1	2	yes	complemented
1206	H(3,𝔽₄)	C₂²×C₅₃	1	1	yes	characteristic, complemented
1207	H(3,𝔽₄)	C₂²×C₅₃	1	2	yes	complemented
1208	#560	C₂²×C₅₃	1	2	yes	complemented
1209	#560	C₂²×C₅₃	1	4	yes	complemented
1210	#560	C₂²×C₅₃	1	4	yes	complemented
1211	#560	C₂²×C₅₃	1	2	yes	complemented
1212	#560	C₂²×C₅₃	1	4	yes	complemented
1213	#560	C₂²×C₅₃	1	2	yes	complemented
1214	#560	C₂²×C₅₃	1	4	yes	complemented
1215	#560	C₂²×C₅₃	1	4	yes	complemented
1216	#560	C₂²×C₅₃	1	4	yes	complemented
1217	#559	C₂²×C₅₃	1	4	yes	complemented
1218	#559	C₂²×C₅₃	1	4	yes	complemented
1219	#559	C₂²×C₅₃	1	1	yes	characteristic, complemented
1220	#557	C₂²×C₅₃	1	1	yes	characteristic, complemented
1221	#556	C₂²×C₅₃	1	1	yes	characteristic, complemented
1222	#556	C₂²×C₅₃	1	2	yes	complemented
1223	#556	C₂²×C₅₃	1	4	yes	complemented
1224	#556	C₂²×C₅₃	1	4	yes	complemented
1225	#556	C₂²×C₅₃	1	4	yes	complemented
1226	#555	C₂²×C₅₃	1	2	yes	complemented
1227	#555	C₂²×C₅₃	1	4	yes	complemented
1228	#555	C₂²×C₅₃	1	2	yes	complemented
1229	#555	C₂²×C₅₃	1	2	yes	complemented
1230	#555	C₂²×C₅₃	1	2	yes	complemented
1231	#555	C₂²×C₅₃	1	2	yes	complemented
1232	#555	C₂²×C₅₃	1	2	yes	complemented
1233	#555	C₂²×C₅₃	1	2	yes	complemented
1234	#554	C₂²×C₅₃	1	2	yes	complemented
1235	#554	C₂²×C₅₃	1	2	yes	complemented
1236	#553	C₂²×C₅₃	1	2	yes	complemented
1237	#553	C₂²×C₅₃	1	4	yes	complemented
1238	#553	C₂²×C₅₃	1	2	yes	complemented
1239	#553	C₂²×C₅₃	1	2	yes	complemented
1240	#553	C₂²×C₅₃	1	2	yes	complemented
1241	#553	C₂²×C₅₃	1	2	yes	complemented
1242	#553	C₂²×C₅₃	1	2	yes	complemented
1243	#553	C₂²×C₅₃	1	2	yes	complemented
1244	#553	C₂²×C₅₃	1	2	yes	complemented
1245	#553	C₂²×C₅₃	1	2	yes	complemented
1246	#553	C₂²×C₅₃	1	2	yes	complemented
1247	#553	C₂²×C₅₃	1	2	yes	complemented
1248	#553	C₂²×C₅₃	1	4	yes	complemented
1249	#553	C₂²×C₅₃	1	2	yes	complemented
1250	#553	C₂²×C₅₃	1	4	yes	complemented
1251	#553	C₂²×C₅₃	1	4	yes	complemented
1252	#553	C₂²×C₅₃	1	4	yes	complemented
1253	#553	C₂²×C₅₃	1	4	yes	complemented
1254	#552	C₂²×C₅₃	1	2	yes	complemented
1255	#552	C₂²×C₅₃	1	4	yes	complemented
1256	#552	C₂²×C₅₃	1	2	yes	complemented
1257	#552	C₂²×C₅₃	1	2	yes	complemented
1258	#552	C₂²×C₅₃	1	4	yes	complemented
1259	#552	C₂²×C₅₃	1	4	yes	complemented
1260	#551	C₂²×C₅₃	1	4	yes	complemented
1261	#551	C₂²×C₅₃	1	4	yes	complemented
1262	#551	C₂²×C₅₃	1	4	yes	complemented
1263	#551	C₂²×C₅₃	1	4	yes	complemented
1264	#551	C₂²×C₅₃	1	4	yes	complemented
1265	#551	C₂²×C₅₃	1	4	yes	complemented
1266	#551	C₂²×C₅₃	1	4	yes	complemented
1267	#551	C₂²×C₅₃	1	4	yes	complemented
1268	#551	C₂²×C₅₃	1	4	yes	complemented
1269	#550	C₂²×C₅₃	1	4	yes	complemented
1270	#550	C₂²×C₅₃	1	1	yes	characteristic, complemented
1271	#550	C₂²×C₅₃	1	1	yes	characteristic, complemented
1272	#550	C₂²×C₅₃	1	2	yes	complemented
1273	#550	C₂²×C₅₃	1	2	yes	complemented
1274	#550	C₂²×C₅₃	1	4	yes	complemented
1275	D₄×Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
1276	#548	C₂²×C₅₃	1	2	yes	complemented
1277	#548	C₂²×C₅₃	1	4	yes	complemented
1278	#547	C₂²×C₅₃	1	1	yes	characteristic, complemented
1279	#547	C₂²×C₅₃	1	2	yes	complemented
1280	#547	C₂²×C₅₃	1	2	yes	complemented
1281	#547	C₂²×C₅₃	1	2	yes	complemented
1282	#547	C₂²×C₅₃	1	2	yes	complemented
1283	#547	C₂²×C₅₃	1	2	yes	complemented
1284	#547	C₂²×C₅₃	1	4	yes	complemented
1285	#547	C₂²×C₅₃	1	4	yes	complemented
1286	#546	C₂²×C₅₃	1	4	yes	complemented
1287	#546	C₂²×C₅₃	1	4	yes	complemented
1288	#546	C₂²×C₅₃	1	4	yes	complemented
1289	#546	C₂²×C₅₃	1	4	yes	complemented
1290	#546	C₂²×C₅₃	1	4	yes	complemented
1291	#546	C₂²×C₅₃	1	2	yes	complemented
1292	#546	C₂²×C₅₃	1	2	yes	complemented
1293	#546	C₂²×C₅₃	1	2	yes	complemented
1294	#546	C₂²×C₅₃	1	2	yes	complemented
1295	#546	C₂²×C₅₃	1	4	yes	complemented
1296	#546	C₂²×C₅₃	1	4	yes	complemented
1297	#546	C₂²×C₅₃	1	4	yes	complemented
1298	#546	C₂²×C₅₃	1	4	yes	complemented
1299	#546	C₂²×C₅₃	1	4	yes	complemented
1300	#546	C₂²×C₅₃	1	4	yes	complemented
1301	D₄²	C₂²×C₅₃	1	1	yes	characteristic
1302	D₄²	C₂²×C₅₃	1	2	yes	complemented
1303	D₄²	C₂²×C₅₃	1	2	yes	complemented
1304	D₄²	C₂²×C₅₃	1	2	yes	complemented
1305	D₄²	C₂²×C₅₃	1	2	yes	complemented
1306	D₄²	C₂²×C₅₃	1	2	yes	complemented
1307	D₄²	C₂²×C₅₃	1	4	yes	complemented
1308	D₄²	C₂²×C₅₃	1	4	yes	complemented
1309	#544	C₂²×C₅₃	1	2	yes	complemented
1310	#544	C₂²×C₅₃	1	2	yes	complemented
1311	#544	C₂²×C₅₃	1	2	yes	complemented
1312	#542	C₂²×C₅₃	1	4	yes	complemented
1313	#542	C₂²×C₅₃	1	4	yes	complemented
1314	#542	C₂²×C₅₃	1	2	yes	complemented
1315	#542	C₂²×C₅₃	1	2	yes	complemented
1316	#542	C₂²×C₅₃	1	4	yes	complemented
1317	#542	C₂²×C₅₃	1	4	yes	complemented
1318	#542	C₂²×C₅₃	1	4	yes	complemented
1319	#542	C₂²×C₅₃	1	4	yes	complemented
1320	#542	C₂²×C₅₃	1	4	yes	complemented
1321	#541	C₂²×C₅₃	1	2	yes	complemented
1322	#541	C₂²×C₅₃	1	4	yes	complemented
1323	#540	C₂²×C₅₃	1	4	yes	complemented
1324	#540	C₂²×C₅₃	1	4	yes	complemented
1325	#540	C₂²×C₅₃	1	2	yes	complemented
1326	#540	C₂²×C₅₃	1	2	yes	complemented
1327	#540	C₂²×C₅₃	1	2	yes	complemented
1328	#540	C₂²×C₅₃	1	4	yes	complemented
1329	#540	C₂²×C₅₃	1	2	yes	complemented
1330	#540	C₂²×C₅₃	1	2	yes	complemented
1331	#540	C₂²×C₅₃	1	4	yes	complemented
1332	#540	C₂²×C₅₃	1	4	yes	complemented
1333	#539	C₂²×C₅₃	1	4	yes	complemented
1334	#539	C₂²×C₅₃	1	2	yes	complemented
1335	#539	C₂²×C₅₃	1	4	yes	complemented
1336	#539	C₂²×C₅₃	1	4	yes	complemented
1337	#539	C₂²×C₅₃	1	4	yes	complemented
1338	#539	C₂²×C₅₃	1	2	yes	complemented
1339	#538	C₂²×C₅₃	1	4	yes	complemented
1340	#538	C₂²×C₅₃	1	4	yes	complemented
1341	#538	C₂²×C₅₃	1	4	yes	complemented
1342	#538	C₂²×C₅₃	1	4	yes	complemented
1343	#538	C₂²×C₅₃	1	4	yes	complemented
1344	#538	C₂²×C₅₃	1	4	yes	complemented
1345	#538	C₂²×C₅₃	1	4	yes	complemented
1346	#538	C₂²×C₅₃	1	4	yes	complemented
1347	#538	C₂²×C₅₃	1	4	yes	complemented
1348	#538	C₂²×C₅₃	1	4	yes	complemented
1349	#538	C₂²×C₅₃	1	4	yes	complemented
1350	#538	C₂²×C₅₃	1	4	yes	complemented
1351	#538	C₂²×C₅₃	1	4	yes	complemented
1352	#538	C₂²×C₅₃	1	4	yes	complemented
1353	#537	C₂²×C₅₃	1	2	yes	complemented
1354	#537	C₂²×C₅₃	1	1	yes	characteristic, complemented
1355	#537	C₂²×C₅₃	1	1	yes	characteristic, complemented
1356	#537	C₂²×C₅₃	1	4	yes	complemented
1357	#537	C₂²×C₅₃	1	2	yes	complemented
1358	#537	C₂²×C₅₃	1	2	yes	complemented
1359	#536	C₂²×C₅₃	1	4	yes	complemented
1360	#535	C₂²×C₅₃	1	2	yes	complemented
1361	#535	C₂²×C₅₃	1	2	yes	complemented
1362	#535	C₂²×C₅₃	1	2	yes	complemented
1363	#535	C₂²×C₅₃	1	2	yes	complemented
1364	#535	C₂²×C₅₃	1	4	yes	complemented
1365	#535	C₂²×C₅₃	1	4	yes	complemented
1366	#535	C₂²×C₅₃	1	4	yes	complemented
1367	#535	C₂²×C₅₃	1	4	yes	complemented
1368	#535	C₂²×C₅₃	1	4	yes	complemented
1369	#534	C₂²×C₅₃	1	4	yes	complemented
1370	#534	C₂²×C₅₃	1	4	yes	complemented
1371	#534	C₂²×C₅₃	1	4	yes	complemented
1372	#534	C₂²×C₅₃	1	4	yes	complemented
1373	#533	C₂²×C₅₃	1	2	yes	complemented
1374	#532	C₂²×C₅₃	1	4	yes	complemented
1375	#532	C₂²×C₅₃	1	4	yes	complemented
1376	#532	C₂²×C₅₃	1	2	yes	complemented
1377	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
1378	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
1379	#532	C₂²×C₅₃	1	2	yes	complemented
1380	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
1381	#532	C₂²×C₅₃	1	2	yes	complemented
1382	#529	C₂²×C₅₃	1	4	yes	complemented
1383	#529	C₂²×C₅₃	1	4	yes	complemented
1384	#529	C₂²×C₅₃	1	4	yes	complemented
1385	#529	C₂²×C₅₃	1	4	yes	complemented
1386	#529	C₂²×C₅₃	1	2	yes	complemented
1387	#529	C₂²×C₅₃	1	2	yes	complemented
1388	#529	C₂²×C₅₃	1	2	yes	complemented
1389	#529	C₂²×C₅₃	1	2	yes	complemented
1390	#529	C₂²×C₅₃	1	1	yes	characteristic, complemented
1391	#529	C₂²×C₅₃	1	2	yes	complemented
1392	#529	C₂²×C₅₃	1	1	yes	characteristic, complemented
1393	#529	C₂²×C₅₃	1	2	yes	complemented
1394	#529	C₂²×C₅₃	1	2	yes	complemented
1395	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic, complemented
1396	C₂×#124	C₂²×C₅₃	1	2	yes	complemented
1397	#525	C₂²×C₅₃	1	2	yes	complemented
1398	#525	C₂²×C₅₃	1	2	yes	complemented
1399	#525	C₂²×C₅₃	1	2	yes	complemented
1400	#525	C₂²×C₅₃	1	2	yes	complemented
1401	#525	C₂²×C₅₃	1	4	yes	complemented
1402	#525	C₂²×C₅₃	1	4	yes	complemented
1403	#525	C₂²×C₅₃	1	4	yes	complemented
1404	#525	C₂²×C₅₃	1	4	yes	complemented
1405	C₂×#123	C₂²×C₅₃	1	4	yes	complemented
1406	C₂×#121	C₂²×C₅₃	1	2	yes	complemented
1407	C₂×#121	C₂²×C₅₃	1	2	yes	complemented
1408	C₂×#121	C₂²×C₅₃	1	4	yes	complemented
1409	#520	C₂²×C₅₃	1	2	yes	complemented
1410	#520	C₂²×C₅₃	1	2	yes	complemented
1411	#520	C₂²×C₅₃	1	1	yes	characteristic, complemented
1412	#520	C₂²×C₅₃	1	1	yes	characteristic, complemented
1413	#518	C₂²×C₅₃	1	2	yes	complemented
1414	#518	C₂²×C₅₃	1	2	yes	complemented
1415	C₄×#41	C₂²×C₅₃	1	1	yes	characteristic, complemented
1416	C₂×C₄×D₄	C₂²×C₅₃	1	2	yes	complemented
1417	C₂×#117	C₂²×C₅₃	1	2	yes	complemented
1418	C₅₃	#63051	1	1	yes	characteristic, direct product factor, Sylow
1419	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1420	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1421	C₂×#41	C₂³×C₅₃	1	2	yes	—
1422	C₂×#41	C₂³×C₅₃	1	2	yes	—
1423	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1424	C₂×#41	C₂³×C₅₃	1	2	yes	—
1425	C₂×#41	C₂³×C₅₃	1	4	yes	—
1426	C₂×#41	C₂³×C₅₃	1	4	yes	—
1427	C₂×#41	C₂³×C₅₃	1	2	yes	—
1428	C₂×#41	C₂³×C₅₃	1	2	yes	—
1429	C₂×#41	C₂³×C₅₃	1	2	yes	—
1430	C₂×#41	C₂³×C₅₃	1	4	yes	—
1431	C₂×#41	C₂³×C₅₃	1	4	yes	—
1432	C₂×#41	C₂³×C₅₃	1	4	yes	—
1433	C₂²×Q₈	C₂³×C₅₃	1	2	yes	—
1434	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1435	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1436	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1437	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1438	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1439	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1440	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1441	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1442	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1443	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1444	C₂³×C₄	C₂³×C₅₃	1	2	yes	—
1445	C₂³×C₄	C₂³×C₅₃	1	4	yes	—
1446	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1447	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1448	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1449	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1450	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1451	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1452	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1453	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1454	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1455	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1456	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1457	#127	C₂³×C₅₃	1	4	yes	—
1458	#127	C₂³×C₅₃	1	2	yes	—
1459	#127	C₂³×C₅₃	1	2	yes	—
1460	#127	C₂³×C₅₃	1	4	yes	—
1461	#127	C₂³×C₅₃	1	1	yes	characteristic
1462	#127	C₂³×C₅₃	1	1	yes	characteristic
1463	#127	C₂³×C₅₃	1	2	yes	—
1464	#127	C₂³×C₅₃	1	1	yes	characteristic
1465	#127	C₂³×C₅₃	1	4	yes	—
1466	#127	C₂³×C₅₃	1	4	yes	—
1467	#127	C₂³×C₅₃	1	4	yes	—
1468	#126	C₂³×C₅₃	1	4	yes	—
1469	#126	C₂³×C₅₃	1	4	yes	—
1470	#126	C₂³×C₅₃	1	4	yes	—
1471	#126	C₂³×C₅₃	1	2	yes	—
1472	#126	C₂³×C₅₃	1	4	yes	—
1473	#126	C₂³×C₅₃	1	2	yes	—
1474	#126	C₂³×C₅₃	1	4	yes	—
1475	#126	C₂³×C₅₃	1	4	yes	—
1476	#126	C₂³×C₅₃	1	4	yes	—
1477	#126	C₂³×C₅₃	1	4	yes	—
1478	#126	C₂³×C₅₃	1	4	yes	—
1479	#126	C₂³×C₅₃	1	4	yes	—
1480	#126	C₂³×C₅₃	1	4	yes	—
1481	#126	C₂³×C₅₃	1	2	yes	—
1482	#126	C₂³×C₅₃	1	2	yes	—
1483	#126	C₂³×C₅₃	1	4	yes	—
1484	#126	C₂³×C₅₃	1	4	yes	—
1485	#126	C₂³×C₅₃	1	2	yes	—
1486	#126	C₂³×C₅₃	1	2	yes	—
1487	#126	C₂³×C₅₃	1	4	yes	—
1488	#126	C₂³×C₅₃	1	4	yes	—
1489	#126	C₂³×C₅₃	1	4	yes	—
1490	#126	C₂³×C₅₃	1	4	yes	—
1491	#126	C₂³×C₅₃	1	4	yes	—
1492	#126	C₂³×C₅₃	1	4	yes	—
1493	#126	C₂³×C₅₃	1	4	yes	—
1494	#126	C₂³×C₅₃	1	4	yes	—
1495	#125	C₂³×C₅₃	1	2	yes	—
1496	#125	C₂³×C₅₃	1	2	yes	—
1497	#125	C₂³×C₅₃	1	2	yes	—
1498	#125	C₂³×C₅₃	1	2	yes	—
1499	#125	C₂³×C₅₃	1	1	yes	characteristic
1500	#125	C₂³×C₅₃	1	1	yes	characteristic
1501	#125	C₂³×C₅₃	1	4	yes	—
1502	#125	C₂³×C₅₃	1	2	yes	—
1503	#125	C₂³×C₅₃	1	4	yes	—
1504	#125	C₂³×C₅₃	1	4	yes	—
1505	#125	C₂³×C₅₃	1	4	yes	—
1506	#125	C₂³×C₅₃	1	2	yes	—
1507	#125	C₂³×C₅₃	1	2	yes	—
1508	#125	C₂³×C₅₃	1	2	yes	—
1509	#125	C₂³×C₅₃	1	2	yes	—
1510	#125	C₂³×C₅₃	1	4	yes	—
1511	#125	C₂³×C₅₃	1	4	yes	—
1512	#125	C₂³×C₅₃	1	4	yes	—
1513	#124	C₂³×C₅₃	1	1	yes	characteristic
1514	#124	C₂³×C₅₃	1	2	yes	—
1515	#124	C₂³×C₅₃	1	4	yes	—
1516	#124	C₂³×C₅₃	1	2	yes	—
1517	#124	C₂³×C₅₃	1	2	yes	—
1518	#124	C₂³×C₅₃	1	4	yes	—
1519	#124	C₂³×C₅₃	1	1	yes	characteristic
1520	#124	C₂³×C₅₃	1	1	yes	characteristic
1521	#124	C₂³×C₅₃	1	2	yes	—
1522	#124	C₂³×C₅₃	1	1	yes	characteristic
1523	#124	C₂³×C₅₃	1	4	yes	—
1524	#124	C₂³×C₅₃	1	4	yes	—
1525	#124	C₂³×C₅₃	1	4	yes	—
1526	#124	C₂³×C₅₃	1	2	yes	—
1527	#124	C₂³×C₅₃	1	4	yes	—
1528	#124	C₂³×C₅₃	1	2	yes	—
1529	#124	C₂³×C₅₃	1	2	yes	—
1530	#124	C₂³×C₅₃	1	4	yes	—
1531	#124	C₂³×C₅₃	1	4	yes	—
1532	#124	C₂³×C₅₃	1	4	yes	—
1533	#124	C₂³×C₅₃	1	4	yes	—
1534	#124	C₂³×C₅₃	1	4	yes	—
1535	#124	C₂³×C₅₃	1	2	yes	—
1536	#124	C₂³×C₅₃	1	2	yes	—
1537	#124	C₂³×C₅₃	1	4	yes	—
1538	#124	C₂³×C₅₃	1	4	yes	—
1539	#124	C₂³×C₅₃	1	4	yes	—
1540	#124	C₂³×C₅₃	1	4	yes	—
1541	#124	C₂³×C₅₃	1	4	yes	—
1542	#124	C₂³×C₅₃	1	4	yes	—
1543	#124	C₂³×C₅₃	1	4	yes	—
1544	#124	C₂³×C₅₃	1	4	yes	—
1545	#124	C₂³×C₅₃	1	4	yes	—
1546	#123	C₂³×C₅₃	1	2	yes	—
1547	#123	C₂³×C₅₃	1	4	yes	—
1548	#123	C₂³×C₅₃	1	4	yes	—
1549	#123	C₂³×C₅₃	1	4	yes	—
1550	#123	C₂³×C₅₃	1	4	yes	—
1551	#123	C₂³×C₅₃	1	4	yes	—
1552	#123	C₂³×C₅₃	1	4	yes	—
1553	#123	C₂³×C₅₃	1	4	yes	—
1554	#123	C₂³×C₅₃	1	2	yes	—
1555	#123	C₂³×C₅₃	1	2	yes	—
1556	#123	C₂³×C₅₃	1	2	yes	—
1557	#123	C₂³×C₅₃	1	4	yes	—
1558	#123	C₂³×C₅₃	1	4	yes	—
1559	#123	C₂³×C₅₃	1	4	yes	—
1560	#123	C₂³×C₅₃	1	4	yes	—
1561	#123	C₂³×C₅₃	1	2	yes	—
1562	#123	C₂³×C₅₃	1	2	yes	—
1563	#123	C₂³×C₅₃	1	4	yes	—
1564	#123	C₂³×C₅₃	1	4	yes	—
1565	#123	C₂³×C₅₃	1	4	yes	—
1566	#123	C₂³×C₅₃	1	2	yes	—
1567	#123	C₂³×C₅₃	1	2	yes	—
1568	#123	C₂³×C₅₃	1	4	yes	—
1569	#123	C₂³×C₅₃	1	4	yes	—
1570	#123	C₂³×C₅₃	1	4	yes	—
1571	#123	C₂³×C₅₃	1	2	yes	—
1572	#123	C₂³×C₅₃	1	4	yes	—
1573	#123	C₂³×C₅₃	1	4	yes	—
1574	#123	C₂³×C₅₃	1	4	yes	—
1575	#123	C₂³×C₅₃	1	2	yes	—
1576	#123	C₂³×C₅₃	1	4	yes	—
1577	#123	C₂³×C₅₃	1	2	yes	—
1578	#123	C₂³×C₅₃	1	4	yes	—
1579	#123	C₂³×C₅₃	1	2	yes	—
1580	#123	C₂³×C₅₃	1	4	yes	—
1581	#123	C₂³×C₅₃	1	4	yes	—
1582	#123	C₂³×C₅₃	1	4	yes	—
1583	#123	C₂³×C₅₃	1	4	yes	—
1584	#123	C₂³×C₅₃	1	4	yes	—
1585	#123	C₂³×C₅₃	1	4	yes	—
1586	#123	C₂³×C₅₃	1	4	yes	—
1587	#123	C₂³×C₅₃	1	4	yes	—
1588	#123	C₂³×C₅₃	1	4	yes	—
1589	#123	C₂³×C₅₃	1	4	yes	—
1590	#123	C₂³×C₅₃	1	4	yes	—
1591	#123	C₂³×C₅₃	1	4	yes	—
1592	#123	C₂³×C₅₃	1	4	yes	—
1593	#123	C₂³×C₅₃	1	4	yes	—
1594	#123	C₂³×C₅₃	1	4	yes	—
1595	#123	C₂³×C₅₃	1	4	yes	—
1596	#123	C₂³×C₅₃	1	4	yes	—
1597	#123	C₂³×C₅₃	1	4	yes	—
1598	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1599	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1600	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1601	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1602	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1603	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1604	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1605	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1606	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1607	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1608	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1609	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1610	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1611	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1612	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1613	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1614	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1615	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1616	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1617	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1618	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1619	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1620	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1621	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1622	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1623	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1624	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1625	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1626	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1627	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1628	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1629	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1630	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1631	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1632	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1633	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1634	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1635	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1636	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1637	#121	C₂³×C₅₃	1	2	yes	—
1638	#121	C₂³×C₅₃	1	4	yes	—
1639	#121	C₂³×C₅₃	1	4	yes	—
1640	#121	C₂³×C₅₃	1	4	yes	—
1641	#121	C₂³×C₅₃	1	4	yes	—
1642	#121	C₂³×C₅₃	1	4	yes	—
1643	#121	C₂³×C₅₃	1	4	yes	—
1644	#121	C₂³×C₅₃	1	4	yes	—
1645	#121	C₂³×C₅₃	1	2	yes	—
1646	#121	C₂³×C₅₃	1	2	yes	—
1647	#121	C₂³×C₅₃	1	2	yes	—
1648	#121	C₂³×C₅₃	1	2	yes	—
1649	#121	C₂³×C₅₃	1	2	yes	—
1650	#121	C₂³×C₅₃	1	2	yes	—
1651	#121	C₂³×C₅₃	1	2	yes	—
1652	#121	C₂³×C₅₃	1	2	yes	—
1653	#121	C₂³×C₅₃	1	4	yes	—
1654	#121	C₂³×C₅₃	1	4	yes	—
1655	#121	C₂³×C₅₃	1	4	yes	—
1656	#121	C₂³×C₅₃	1	4	yes	—
1657	#121	C₂³×C₅₃	1	2	yes	—
1658	#121	C₂³×C₅₃	1	2	yes	—
1659	#121	C₂³×C₅₃	1	2	yes	—
1660	#121	C₂³×C₅₃	1	2	yes	—
1661	#121	C₂³×C₅₃	1	2	yes	—
1662	#121	C₂³×C₅₃	1	2	yes	—
1663	#121	C₂³×C₅₃	1	4	yes	—
1664	#121	C₂³×C₅₃	1	2	yes	—
1665	#121	C₂³×C₅₃	1	2	yes	—
1666	#121	C₂³×C₅₃	1	4	yes	—
1667	#121	C₂³×C₅₃	1	4	yes	—
1668	#121	C₂³×C₅₃	1	4	yes	—
1669	#121	C₂³×C₅₃	1	4	yes	—
1670	#121	C₂³×C₅₃	1	2	yes	—
1671	#121	C₂³×C₅₃	1	2	yes	—
1672	#121	C₂³×C₅₃	1	2	yes	—
1673	#121	C₂³×C₅₃	1	4	yes	—
1674	#121	C₂³×C₅₃	1	2	yes	—
1675	#121	C₂³×C₅₃	1	1	yes	characteristic
1676	#121	C₂³×C₅₃	1	2	yes	—
1677	#121	C₂³×C₅₃	1	1	yes	characteristic
1678	#121	C₂³×C₅₃	1	4	yes	—
1679	#121	C₂³×C₅₃	1	2	yes	—
1680	#121	C₂³×C₅₃	1	2	yes	—
1681	#121	C₂³×C₅₃	1	2	yes	—
1682	#121	C₂³×C₅₃	1	4	yes	—
1683	#121	C₂³×C₅₃	1	2	yes	—
1684	#121	C₂³×C₅₃	1	2	yes	—
1685	#121	C₂³×C₅₃	1	2	yes	—
1686	#121	C₂³×C₅₃	1	2	yes	—
1687	#121	C₂³×C₅₃	1	2	yes	—
1688	#121	C₂³×C₅₃	1	2	yes	—
1689	#121	C₂³×C₅₃	1	2	yes	—
1690	#121	C₂³×C₅₃	1	2	yes	—
1691	#121	C₂³×C₅₃	1	4	yes	—
1692	#121	C₂³×C₅₃	1	4	yes	—
1693	#121	C₂³×C₅₃	1	2	yes	—
1694	#121	C₂³×C₅₃	1	2	yes	—
1695	#121	C₂³×C₅₃	1	4	yes	—
1696	#121	C₂³×C₅₃	1	4	yes	—
1697	#121	C₂³×C₅₃	1	4	yes	—
1698	#121	C₂³×C₅₃	1	4	yes	—
1699	#121	C₂³×C₅₃	1	4	yes	—
1700	#121	C₂³×C₅₃	1	4	yes	—
1701	#121	C₂³×C₅₃	1	4	yes	—
1702	#121	C₂³×C₅₃	1	4	yes	—
1703	#121	C₂³×C₅₃	1	4	yes	—
1704	#121	C₂³×C₅₃	1	4	yes	—
1705	#121	C₂³×C₅₃	1	4	yes	—
1706	#121	C₂³×C₅₃	1	4	yes	—
1707	#121	C₂³×C₅₃	1	4	yes	—
1708	#121	C₂³×C₅₃	1	4	yes	—
1709	#121	C₂³×C₅₃	1	4	yes	—
1710	#121	C₂³×C₅₃	1	4	yes	—
1711	#121	C₂³×C₅₃	1	4	yes	—
1712	#121	C₂³×C₅₃	1	4	yes	—
1713	#121	C₂³×C₅₃	1	4	yes	—
1714	#121	C₂³×C₅₃	1	4	yes	—
1715	#121	C₂³×C₅₃	1	4	yes	—
1716	#121	C₂³×C₅₃	1	4	yes	—
1717	#121	C₂³×C₅₃	1	4	yes	—
1718	#121	C₂³×C₅₃	1	4	yes	—
1719	#121	C₂³×C₅₃	1	4	yes	—
1720	#121	C₂³×C₅₃	1	4	yes	—
1721	#120	C₂³×C₅₃	1	4	yes	—
1722	#120	C₂³×C₅₃	1	4	yes	—
1723	#120	C₂³×C₅₃	1	2	yes	—
1724	#120	C₂³×C₅₃	1	2	yes	—
1725	#120	C₂³×C₅₃	1	4	yes	—
1726	#120	C₂³×C₅₃	1	4	yes	—
1727	#120	C₂³×C₅₃	1	4	yes	—
1728	#120	C₂³×C₅₃	1	4	yes	—
1729	#120	C₂³×C₅₃	1	2	yes	—
1730	#120	C₂³×C₅₃	1	2	yes	—
1731	#120	C₂³×C₅₃	1	4	yes	—
1732	#120	C₂³×C₅₃	1	4	yes	—
1733	#120	C₂³×C₅₃	1	4	yes	—
1734	#120	C₂³×C₅₃	1	2	yes	—
1735	#120	C₂³×C₅₃	1	2	yes	—
1736	#120	C₂³×C₅₃	1	4	yes	—
1737	#120	C₂³×C₅₃	1	4	yes	—
1738	#120	C₂³×C₅₃	1	4	yes	—
1739	#120	C₂³×C₅₃	1	4	yes	—
1740	#120	C₂³×C₅₃	1	4	yes	—
1741	#120	C₂³×C₅₃	1	4	yes	—
1742	#120	C₂³×C₅₃	1	4	yes	—
1743	#120	C₂³×C₅₃	1	4	yes	—
1744	#120	C₂³×C₅₃	1	4	yes	—
1745	#120	C₂³×C₅₃	1	4	yes	—
1746	#120	C₂³×C₅₃	1	4	yes	—
1747	#120	C₂³×C₅₃	1	4	yes	—
1748	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1749	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1750	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1751	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1752	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1753	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1754	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1755	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1756	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1757	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1758	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1759	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1760	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1761	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1762	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1763	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1764	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1765	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1766	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1767	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1768	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1769	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1770	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1771	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1772	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1773	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1774	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1775	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1776	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1777	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1778	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1779	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1780	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1781	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1782	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1783	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1784	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1785	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1786	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1787	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1788	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1789	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1790	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1791	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1792	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1793	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1794	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1795	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1796	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1797	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1798	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1799	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1800	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1801	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1802	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1803	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1804	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1805	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1806	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1807	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1808	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1809	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1810	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1811	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1812	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1813	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1814	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1815	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1816	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1817	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1818	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1819	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1820	#117	C₂³×C₅₃	1	2	yes	—
1821	#117	C₂³×C₅₃	1	2	yes	—
1822	#117	C₂³×C₅₃	1	2	yes	—
1823	#117	C₂³×C₅₃	1	2	yes	—
1824	#117	C₂³×C₅₃	1	4	yes	—
1825	#117	C₂³×C₅₃	1	4	yes	—
1826	#117	C₂³×C₅₃	1	1	yes	characteristic
1827	#117	C₂³×C₅₃	1	2	yes	—
1828	#117	C₂³×C₅₃	1	2	yes	—
1829	#117	C₂³×C₅₃	1	2	yes	—
1830	#117	C₂³×C₅₃	1	2	yes	—
1831	#117	C₂³×C₅₃	1	2	yes	—
1832	#117	C₂³×C₅₃	1	4	yes	—
1833	#117	C₂³×C₅₃	1	2	yes	—
1834	#117	C₂³×C₅₃	1	2	yes	—
1835	#117	C₂³×C₅₃	1	4	yes	—
1836	#117	C₂³×C₅₃	1	4	yes	—
1837	#117	C₂³×C₅₃	1	4	yes	—
1838	#117	C₂³×C₅₃	1	4	yes	—
1839	#117	C₂³×C₅₃	1	4	yes	—
1840	#117	C₂³×C₅₃	1	4	yes	—
1841	#117	C₂³×C₅₃	1	4	yes	—
1842	#117	C₂³×C₅₃	1	4	yes	—
1843	#117	C₂³×C₅₃	1	4	yes	—
1844	#117	C₂³×C₅₃	1	4	yes	—
1845	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1846	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1847	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1848	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1849	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1850	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1851	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1852	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1853	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1854	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1855	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1856	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1857	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1858	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1859	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1860	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1861	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1862	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1863	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1864	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1865	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1866	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1867	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1868	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1869	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1870	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1871	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1872	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1873	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1874	C₂⁴	C₂⁴×C₅₃	1	2	yes	—
1875	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1876	#41	—	4	2	no	—
1877	#41	—	4	4	no	—
1878	#41	—	4	2	no	—
1879	#41	—	4	4	no	—
1880	#41	—	4	2	no	—
1881	#41	—	8	2	no	—
1882	#41	—	8	4	no	—
1883	#41	—	8	4	no	—
1884	#41	—	8	2	no	—
1885	#41	—	8	2	no	—
1886	#41	—	8	4	no	—
1887	#41	—	8	4	no	—
1888	#41	—	8	4	no	—
1889	#41	—	8	2	no	—
1890	C₂×Q₈	—	8	2	no	—
1891	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1892	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1893	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1894	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1895	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1896	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1897	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1898	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1899	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1900	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1901	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1902	C₂×D₄	—	4	4	no	—
1903	C₂×D₄	—	4	4	no	—
1904	C₂×D₄	—	4	4	no	—
1905	C₂×D₄	—	8	4	no	—
1906	C₂×D₄	—	8	2	no	—
1907	C₂×D₄	—	8	4	no	—
1908	C₂×D₄	—	8	4	no	—
1909	C₂×D₄	—	8	4	no	—
1910	C₂×D₄	—	8	4	no	—
1911	C₂×D₄	—	8	4	no	—
1912	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1913	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1914	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1915	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1916	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1917	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1918	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1919	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1920	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1921	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1922	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1923	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1924	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1925	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1926	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1927	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1928	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1929	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1930	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1931	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1932	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1933	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1934	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1935	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1936	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1937	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1938	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1939	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1940	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1941	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1942	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1943	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1944	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1945	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1946	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1947	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1948	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1949	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1950	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1951	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1952	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1953	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1954	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1955	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1956	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1957	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1958	C₂²×C₄	—	4	4	no	—
1959	C₂²×C₄	—	8	4	no	—
1960	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1961	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1962	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1963	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1964	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1965	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1966	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1967	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1968	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1969	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1970	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1971	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1972	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1973	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1974	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1975	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1976	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1977	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1978	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1979	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1980	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1981	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1982	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1983	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1984	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1985	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1986	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1987	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1988	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1989	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1990	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1991	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1992	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1993	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1994	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1995	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1996	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1997	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1998	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1999	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2000	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2001	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2002	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2003	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2004	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2005	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2006	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2007	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2008	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2009	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2010	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2011	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2012	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2013	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2014	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2015	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2016	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2017	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2018	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2019	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2020	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2021	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2022	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2023	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2024	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2025	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2026	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2027	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2028	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2029	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2030	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2031	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2032	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2033	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2034	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2035	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2036	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2037	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2038	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2039	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2040	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2041	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2042	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2043	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2044	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2045	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2046	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2047	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2048	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2049	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2050	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2051	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2052	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2053	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2054	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2055	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2056	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2057	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2058	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2059	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2060	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2061	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2062	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2063	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2064	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2065	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2066	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2067	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2068	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2069	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2070	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2071	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2072	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2073	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2074	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2075	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2076	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2077	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2078	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2079	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2080	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2081	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2082	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2083	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2084	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2085	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2086	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2087	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2088	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2089	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2090	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2091	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2092	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2093	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2094	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2095	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2096	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2097	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2098	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2099	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2100	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2101	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2102	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2103	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2104	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2105	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2106	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2107	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2108	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2109	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2110	C₄²	C₂⁴×C₅₃	1	4	yes	—
2111	C₄²	C₂⁴×C₅₃	1	4	yes	—
2112	C₄²	C₂⁴×C₅₃	1	2	yes	—
2113	C₄²	C₂⁴×C₅₃	1	4	yes	—
2114	C₄²	C₂⁴×C₅₃	1	2	yes	—
2115	C₄²	C₂⁴×C₅₃	1	2	yes	—
2116	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2117	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2118	C₄²	C₂⁴×C₅₃	1	2	yes	—
2119	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2120	C₄²	C₂⁴×C₅₃	1	4	yes	—
2121	C₄²	C₂⁴×C₅₃	1	2	yes	—
2122	C₄²	C₂⁴×C₅₃	1	2	yes	—
2123	C₄²	C₂⁴×C₅₃	1	2	yes	—
2124	C₄²	C₂⁴×C₅₃	1	4	yes	—
2125	C₄²	C₂⁴×C₅₃	1	4	yes	—
2126	C₄²	C₂⁴×C₅₃	1	4	yes	—
2127	C₄²	C₂⁴×C₅₃	1	4	yes	—
2128	C₂³	—	4	2	no	—
2129	C₂³	—	4	4	no	—
2130	C₂³	—	4	4	no	—
2131	C₂³	—	4	2	no	—
2132	C₂³	—	4	2	no	—
2133	C₂³	—	4	4	no	—
2134	C₂³	—	4	4	no	—
2135	C₂³	—	4	4	no	—
2136	C₂³	—	4	4	no	—
2137	C₂³	—	4	4	no	—
2138	C₂³	—	4	4	no	—
2139	C₂³	—	4	4	no	—
2140	C₂³	C₂⁵×C₅₃	1	2	yes	—
2141	C₂³	C₂⁵×C₅₃	1	2	yes	—
2142	C₂³	C₂⁵×C₅₃	1	4	yes	—
2143	C₂³	C₂⁵×C₅₃	1	2	yes	—
2144	C₂³	C₂⁵×C₅₃	1	2	yes	—
2145	C₂³	C₂⁵×C₅₃	1	4	yes	—
2146	C₂³	C₂⁵×C₅₃	1	2	yes	—
2147	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
2148	Q₈	—	2	2	no	—
2149	Q₈	—	4	1	no	—
2150	Q₈	—	4	4	no	—
2151	Q₈	—	4	2	no	—
2152	Q₈	—	4	2	no	—
2153	Q₈	—	4	1	no	—
2154	Q₈	—	4	1	no	—
2155	Q₈	—	4	1	no	—
2156	Q₈	—	4	4	no	—
2157	Q₈	—	4	4	no	—
2158	Q₈	—	4	2	no	—
2159	D₄	—	2	4	no	—
2160	D₄	—	2	4	no	—
2161	D₄	—	2	2	no	—
2162	D₄	—	4	4	no	—
2163	D₄	—	4	4	no	—
2164	D₄	—	4	4	no	—
2165	D₄	—	4	2	no	—
2166	D₄	—	4	2	no	—
2167	D₄	—	4	2	no	—
2168	D₄	—	4	2	no	—
2169	D₄	—	4	2	no	—
2170	D₄	—	4	4	no	—
2171	D₄	—	4	4	no	—
2172	D₄	—	4	4	no	—
2173	D₄	—	4	4	no	—
2174	D₄	—	4	2	no	—
2175	D₄	—	4	1	no	—
2176	D₄	—	4	4	no	—
2177	D₄	—	4	4	no	—
2178	D₄	—	4	4	no	—
2179	D₄	—	4	4	no	—
2180	D₄	—	4	4	no	—
2181	D₄	—	4	4	no	—
2182	D₄	—	4	4	no	—
2183	D₄	—	4	4	no	—
2184	D₄	—	4	4	no	—
2185	D₄	—	4	2	no	—
2186	D₄	—	4	4	no	—
2187	D₄	—	4	4	no	—
2188	D₄	—	4	2	no	—
2189	D₄	—	4	2	no	—
2190	D₄	—	4	2	no	—
2191	D₄	—	4	1	no	—
2192	D₄	—	4	1	no	—
2193	D₄	—	4	2	no	—
2194	D₄	—	4	2	no	—
2195	D₄	—	4	4	no	—
2196	D₄	—	4	2	no	—
2197	D₄	—	4	2	no	—
2198	D₄	—	4	2	no	—
2199	D₄	—	4	2	no	—
2200	D₄	—	4	4	no	—
2201	D₄	—	4	2	no	—
2202	D₄	—	4	4	no	—
2203	D₄	—	4	2	no	—
2204	D₄	—	4	1	no	—
2205	C₂×C₄	—	2	4	no	—
2206	C₂×C₄	—	2	4	no	—
2207	C₂×C₄	—	2	4	no	—
2208	C₂×C₄	—	2	4	no	—
2209	C₂×C₄	—	2	2	no	—
2210	C₂×C₄	—	4	2	no	—
2211	C₂×C₄	—	4	2	no	—
2212	C₂×C₄	—	4	2	no	—
2213	C₂×C₄	—	4	2	no	—
2214	C₂×C₄	—	4	4	no	—
2215	C₂×C₄	—	4	4	no	—
2216	C₂×C₄	—	4	4	no	—
2217	C₂×C₄	—	4	4	no	—
2218	C₂×C₄	—	4	4	no	—
2219	C₂×C₄	—	4	2	no	—
2220	C₂×C₄	—	4	4	no	—
2221	C₂×C₄	—	4	4	no	—
2222	C₂×C₄	—	4	4	no	—
2223	C₂×C₄	—	4	4	no	—
2224	C₂×C₄	—	4	4	no	—
2225	C₂×C₄	—	4	4	no	—
2226	C₂×C₄	—	4	4	no	—
2227	C₂×C₄	—	4	2	no	—
2228	C₂×C₄	—	4	4	no	—
2229	C₂×C₄	—	4	2	no	—
2230	C₂×C₄	—	4	1	no	—
2231	C₂×C₄	—	4	1	no	—
2232	C₂×C₄	—	4	2	no	—
2233	C₂×C₄	—	4	2	no	—
2234	C₂×C₄	—	4	4	no	—
2235	C₂×C₄	—	4	4	no	—
2236	C₂×C₄	—	4	2	no	—
2237	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2238	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2239	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2240	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2241	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2242	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2243	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2244	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2245	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2246	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2247	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2248	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2249	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2250	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2251	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2252	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2253	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2254	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2255	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2256	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2257	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2258	C₂²	—	2	2	no	—
2259	C₂²	—	2	2	no	—
2260	C₂²	—	2	2	no	—
2261	C₂²	—	2	1	no	—
2262	C₂²	—	2	2	no	—
2263	C₂²	—	2	4	no	—
2264	C₂²	—	2	2	no	—
2265	C₂²	—	2	4	no	—
2266	C₂²	—	2	1	no	—
2267	C₂²	—	2	1	no	—
2268	C₂²	—	2	2	no	—
2269	C₂²	—	2	4	no	—
2270	C₂²	—	2	2	no	—
2271	C₂²	—	2	2	no	—
2272	C₂²	—	2	2	no	—
2273	C₂²	—	2	4	no	—
2274	C₂²	—	2	2	no	—
2275	C₂²	—	2	2	no	—
2276	C₂²	—	2	4	no	—
2277	C₂²	—	2	2	no	—
2278	C₂²	—	2	4	no	—
2279	C₂²	—	2	2	no	—
2280	C₂²	—	2	2	no	—
2281	C₂²	—	2	2	no	—
2282	C₂²	—	8	8	no	—
2283	C₂²	—	8	4	no	—
2284	C₂²	—	16	4	no	—
2285	C₂²	—	16	4	no	—
2286	C₂²	C₂⁶×C₅₃	1	1	yes	characteristic
2287	C₄	—	2	2	no	—
2288	C₄	—	2	2	no	—
2289	C₄	—	2	2	no	—
2290	C₄	—	2	1	no	—
2291	C₄	—	2	2	no	—
2292	C₄	—	2	2	no	—
2293	C₄	—	2	2	no	—
2294	C₄	—	2	1	no	—
2295	C₄	—	2	1	no	—
2296	C₄	—	2	2	no	—
2297	C₄	—	2	4	no	—
2298	C₄	—	2	4	no	—
2299	C₄	—	2	2	no	—
2300	C₄	—	2	2	no	—
2301	C₄	—	2	2	no	—
2302	C₄	—	2	4	no	—
2303	C₄	—	2	2	no	—
2304	C₄	—	2	1	no	—
2305	C₄	—	2	4	no	—
2306	C₄	—	2	1	no	—
2307	C₄	C₅₃×#585	1	2	yes	—
2308	C₂	—	4	2	no	—
2309	C₂	—	4	2	no	—
2310	C₂	—	4	2	no	—
2311	C₂	—	4	4	no	—
2312	C₂	—	4	4	no	—
2313	C₂	—	4	2	no	—
2314	C₂	—	4	2	no	—
2315	C₂	—	4	1	no	—
2316	C₂	C₂×C₅₃×#585	1	1	yes	characteristic
2317	C₂	C₅₃×H(7,𝔽₂)	1	1	yes	characteristic
2318	C₂	C₅₃×H(7,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₅₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₅₃ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₅₃×#3568	C₂	semidirect
2. C₅₃×#3566	C₂	semidirect
3. C₅₃×#3565	C₂	semidirect
4. C₅₃×#3562	C₂	semidirect
5. C₅₃×#3559	C₂	semidirect
6. C₅₃×#3559	C₂	semidirect
7. C₅₃×#3558	C₂	semidirect
8. C₅₃×#3549	C₂	semidirect
9. C₅₃×#3547	C₂	semidirect
10. C₅₃×#3546	C₂	semidirect
11. C₅₃×#3546	C₂	semidirect
12. C₅₃×#3545	C₂	semidirect
13. C₅₃×#3542	C₂	semidirect
14. C₅₃×#3542	C₂	semidirect
15. C₅₃×#3542	C₂	semidirect
16. C₅₃×#3537	C₂	semidirect
17. C₅₃×#3534	C₂	semidirect
18. C₅₃×#3533	C₂	semidirect
19. C₅₃×#3529	C₂	semidirect
20. C₅₃×#3529	C₂	semidirect
21. C₅₃×#3519	C₂	semidirect
22. C₅₃×#3517	C₂	semidirect
23. C₅₃×#3514	C₂	semidirect
24. C₅₃×#3513	C₂	semidirect
25. C₅₃×#3512	C₂	semidirect
26. C₅₃×#3506	C₂	semidirect
27. C₅₃×#3494	C₂	semidirect
28. C₅₃×#3494	C₂	semidirect
29. C₅₃×#3493	C₂	semidirect
30. C₅₃×#563	C₂²	semidirect
31. C₅₃×#563	C₂²	semidirect
32. C₅₃×#563	C₂²	semidirect
33. C₅₃×#563	C₂²	semidirect
34. C₅₃×#563	C₂²	semidirect
35. C₅₃×#562	C₂²	semidirect
36. C₅₃×#562	C₂²	semidirect
37. C₅₃×#562	C₂²	semidirect
38. C₅₃×#562	C₂²	semidirect
39. C₅₃×#562	C₂²	semidirect
40. C₅₃×#562	C₂²	semidirect
41. C₅₃×#562	C₂²	semidirect
42. C₅₃×#562	C₂²	semidirect
43. C₅₃×#562	C₂²	semidirect
44. C₅₃×#562	C₂²	semidirect
45. C₅₃×#562	C₂²	semidirect
46. C₅₃×H(3,𝔽₄)	C₂²	semidirect
47. C₅₃×H(3,𝔽₄)	C₂²	semidirect
48. C₅₃×H(3,𝔽₄)	C₂²	semidirect
49. C₅₃×#560	C₂²	semidirect
50. C₅₃×#560	C₂²	semidirect
51. C₅₃×#560	C₂²	semidirect
52. C₅₃×#560	C₂²	semidirect
53. C₅₃×#560	C₂²	semidirect
54. C₅₃×#560	C₂²	semidirect
55. C₅₃×#560	C₂²	semidirect
56. C₅₃×#560	C₂²	semidirect
57. C₅₃×#560	C₂²	semidirect
58. C₅₃×#559	C₂²	semidirect
59. C₅₃×#559	C₂²	semidirect
60. C₅₃×#559	C₂²	semidirect
61. C₅₃×#557	C₂²	semidirect
62. C₅₃×#556	C₂²	semidirect
63. C₅₃×#556	C₂²	semidirect
64. C₅₃×#556	C₂²	semidirect
65. C₅₃×#556	C₂²	semidirect
66. C₅₃×#556	C₂²	semidirect
67. C₅₃×#555	C₂²	semidirect
68. C₅₃×#555	C₂²	semidirect
69. C₅₃×#555	C₂²	semidirect
70. C₅₃×#555	C₂²	semidirect
71. C₅₃×#555	C₂²	semidirect
72. C₅₃×#555	C₂²	semidirect
73. C₅₃×#555	C₂²	semidirect
74. C₅₃×#555	C₂²	semidirect
75. C₅₃×#554	C₂²	semidirect
76. C₅₃×#554	C₂²	semidirect
77. C₅₃×#553	C₂²	semidirect
78. C₅₃×#553	C₂²	semidirect
79. C₅₃×#553	C₂²	semidirect
80. C₅₃×#553	C₂²	semidirect
81. C₅₃×#553	C₂²	semidirect
82. C₅₃×#553	C₂²	semidirect
83. C₅₃×#553	C₂²	semidirect
84. C₅₃×#553	C₂²	semidirect
85. C₅₃×#553	C₂²	semidirect
86. C₅₃×#553	C₂²	semidirect
87. C₅₃×#553	C₂²	semidirect
88. C₅₃×#553	C₂²	semidirect
89. C₅₃×#553	C₂²	semidirect
90. C₅₃×#553	C₂²	semidirect
91. C₅₃×#553	C₂²	semidirect
92. C₅₃×#553	C₂²	semidirect
93. C₅₃×#553	C₂²	semidirect
94. C₅₃×#553	C₂²	semidirect
95. C₅₃×#552	C₂²	semidirect
96. C₅₃×#552	C₂²	semidirect
97. C₅₃×#552	C₂²	semidirect
98. C₅₃×#552	C₂²	semidirect
99. C₅₃×#552	C₂²	semidirect
100. C₅₃×#552	C₂²	semidirect
101. C₅₃×#551	C₂²	semidirect
102. C₅₃×#551	C₂²	semidirect
103. C₅₃×#551	C₂²	semidirect
104. C₅₃×#551	C₂²	semidirect
105. C₅₃×#551	C₂²	semidirect
106. C₅₃×#551	C₂²	semidirect
107. C₅₃×#551	C₂²	semidirect
108. C₅₃×#551	C₂²	semidirect
109. C₅₃×#551	C₂²	semidirect
110. C₅₃×#550	C₂²	semidirect
111. C₅₃×#550	C₂²	semidirect
112. C₅₃×#550	C₂²	semidirect
113. C₅₃×#550	C₂²	semidirect
114. C₅₃×#550	C₂²	semidirect
115. C₅₃×#550	C₂²	semidirect
116. D₄×Q₈×C₅₃	C₂²	semidirect
117. C₅₃×#548	C₂²	semidirect
118. C₅₃×#548	C₂²	semidirect
119. C₅₃×#547	C₂²	semidirect
120. C₅₃×#547	C₂²	semidirect
121. C₅₃×#547	C₂²	semidirect
122. C₅₃×#547	C₂²	semidirect
123. C₅₃×#547	C₂²	semidirect
124. C₅₃×#547	C₂²	semidirect
125. C₅₃×#547	C₂²	semidirect
126. C₅₃×#547	C₂²	semidirect
127. C₅₃×#546	C₂²	semidirect
128. C₅₃×#546	C₂²	semidirect
129. C₅₃×#546	C₂²	semidirect
130. C₅₃×#546	C₂²	semidirect
131. C₅₃×#546	C₂²	semidirect
132. C₅₃×#546	C₂²	semidirect
133. C₅₃×#546	C₂²	semidirect
134. C₅₃×#546	C₂²	semidirect
135. C₅₃×#546	C₂²	semidirect
136. C₅₃×#546	C₂²	semidirect
137. C₅₃×#546	C₂²	semidirect
138. C₅₃×#546	C₂²	semidirect
139. C₅₃×#546	C₂²	semidirect
140. C₅₃×#546	C₂²	semidirect
141. C₅₃×#546	C₂²	semidirect
143. D₄²×C₅₃	C₂²	semidirect
144. D₄²×C₅₃	C₂²	semidirect
145. D₄²×C₅₃	C₂²	semidirect
146. D₄²×C₅₃	C₂²	semidirect
147. D₄²×C₅₃	C₂²	semidirect
148. D₄²×C₅₃	C₂²	semidirect
149. D₄²×C₅₃	C₂²	semidirect
150. C₅₃×#544	C₂²	semidirect
151. C₅₃×#544	C₂²	semidirect
152. C₅₃×#544	C₂²	semidirect
153. C₅₃×#542	C₂²	semidirect
154. C₅₃×#542	C₂²	semidirect
155. C₅₃×#542	C₂²	semidirect
156. C₅₃×#542	C₂²	semidirect
157. C₅₃×#542	C₂²	semidirect
158. C₅₃×#542	C₂²	semidirect
159. C₅₃×#542	C₂²	semidirect
160. C₅₃×#542	C₂²	semidirect
161. C₅₃×#542	C₂²	semidirect
162. C₅₃×#541	C₂²	semidirect
163. C₅₃×#541	C₂²	semidirect
164. C₅₃×#540	C₂²	semidirect
165. C₅₃×#540	C₂²	semidirect
166. C₅₃×#540	C₂²	semidirect
167. C₅₃×#540	C₂²	semidirect
168. C₅₃×#540	C₂²	semidirect
169. C₅₃×#540	C₂²	semidirect
170. C₅₃×#540	C₂²	semidirect
171. C₅₃×#540	C₂²	semidirect
172. C₅₃×#540	C₂²	semidirect
173. C₅₃×#540	C₂²	semidirect
174. C₅₃×#539	C₂²	semidirect
175. C₅₃×#539	C₂²	semidirect
176. C₅₃×#539	C₂²	semidirect
177. C₅₃×#539	C₂²	semidirect
178. C₅₃×#539	C₂²	semidirect
179. C₅₃×#539	C₂²	semidirect
180. C₅₃×#538	C₂²	semidirect
181. C₅₃×#538	C₂²	semidirect
182. C₅₃×#538	C₂²	semidirect
183. C₅₃×#538	C₂²	semidirect
184. C₅₃×#538	C₂²	semidirect
185. C₅₃×#538	C₂²	semidirect
186. C₅₃×#538	C₂²	semidirect
187. C₅₃×#538	C₂²	semidirect
188. C₅₃×#538	C₂²	semidirect
189. C₅₃×#538	C₂²	semidirect
190. C₅₃×#538	C₂²	semidirect
191. C₅₃×#538	C₂²	semidirect
192. C₅₃×#538	C₂²	semidirect
193. C₅₃×#538	C₂²	semidirect
194. C₅₃×#537	C₂²	semidirect
195. C₅₃×#537	C₂²	semidirect
196. C₅₃×#537	C₂²	semidirect
197. C₅₃×#537	C₂²	semidirect
198. C₅₃×#537	C₂²	semidirect
199. C₅₃×#537	C₂²	semidirect
200. C₅₃×#536	C₂²	semidirect
201. C₅₃×#535	C₂²	semidirect
202. C₅₃×#535	C₂²	semidirect
203. C₅₃×#535	C₂²	semidirect
204. C₅₃×#535	C₂²	semidirect
205. C₅₃×#535	C₂²	semidirect
206. C₅₃×#535	C₂²	semidirect
207. C₅₃×#535	C₂²	semidirect
208. C₅₃×#535	C₂²	semidirect
209. C₅₃×#535	C₂²	semidirect
210. C₅₃×#534	C₂²	semidirect
211. C₅₃×#534	C₂²	semidirect
212. C₅₃×#534	C₂²	semidirect
213. C₅₃×#534	C₂²	semidirect
214. C₅₃×#533	C₂²	semidirect
215. C₅₃×#532	C₂²	semidirect
216. C₅₃×#532	C₂²	semidirect
217. C₅₃×#532	C₂²	semidirect
218. C₅₃×#532	C₂²	semidirect
219. C₅₃×#532	C₂²	semidirect
220. C₅₃×#532	C₂²	semidirect
221. C₅₃×#532	C₂²	semidirect
222. C₅₃×#532	C₂²	semidirect
223. C₅₃×#529	C₂²	semidirect
224. C₅₃×#529	C₂²	semidirect
225. C₅₃×#529	C₂²	semidirect
226. C₅₃×#529	C₂²	semidirect
227. C₅₃×#529	C₂²	semidirect
228. C₅₃×#529	C₂²	semidirect
229. C₅₃×#529	C₂²	semidirect
230. C₅₃×#529	C₂²	semidirect
231. C₅₃×#529	C₂²	semidirect
232. C₅₃×#529	C₂²	semidirect
233. C₅₃×#529	C₂²	semidirect
234. C₅₃×#529	C₂²	semidirect
235. C₅₃×#529	C₂²	semidirect
236. C₂×#125×C₅₃	C₂²	semidirect
237. C₂×#124×C₅₃	C₂²	semidirect
238. C₅₃×#525	C₂²	semidirect
239. C₅₃×#525	C₂²	semidirect
240. C₅₃×#525	C₂²	semidirect
241. C₅₃×#525	C₂²	semidirect
242. C₅₃×#525	C₂²	semidirect
243. C₅₃×#525	C₂²	semidirect
244. C₅₃×#525	C₂²	semidirect
245. C₅₃×#525	C₂²	semidirect
246. C₂×#123×C₅₃	C₂²	semidirect
247. C₂×#121×C₅₃	C₂²	semidirect
248. C₂×#121×C₅₃	C₂²	semidirect
249. C₂×#121×C₅₃	C₂²	semidirect
250. C₅₃×#520	C₂²	semidirect
251. C₅₃×#520	C₂²	semidirect
252. C₅₃×#520	C₂²	semidirect
253. C₅₃×#520	C₂²	semidirect
254. C₅₃×#518	C₂²	semidirect
255. C₅₃×#518	C₂²	semidirect
256. C₄×#41×C₅₃	C₂²	semidirect
257. C₂×C₄×D₄×C₅₃	C₂²	semidirect
258. C₂×#117×C₅₃	C₂²	semidirect
1098. #63051	C₅₃	direct (N × H)
1149. #3568	C₂×C₅₃	semidirect
1150. #3566	C₂×C₅₃	semidirect
1151. #3565	C₂×C₅₃	semidirect
1152. #3562	C₂×C₅₃	semidirect
1153. #3559	C₂×C₅₃	semidirect
1154. #3559	C₂×C₅₃	semidirect
1155. #3558	C₂×C₅₃	semidirect
1156. #3549	C₂×C₅₃	semidirect
1157. #3547	C₂×C₅₃	semidirect
1158. #3546	C₂×C₅₃	semidirect
1159. #3546	C₂×C₅₃	semidirect
1160. #3545	C₂×C₅₃	semidirect
1161. #3542	C₂×C₅₃	semidirect
1162. #3542	C₂×C₅₃	semidirect
1163. #3542	C₂×C₅₃	semidirect
1164. #3537	C₂×C₅₃	semidirect
1165. #3534	C₂×C₅₃	semidirect
1166. #3533	C₂×C₅₃	semidirect
1167. #3529	C₂×C₅₃	semidirect
1168. #3529	C₂×C₅₃	semidirect
1169. #3519	C₂×C₅₃	semidirect
1170. #3517	C₂×C₅₃	semidirect
1171. #3514	C₂×C₅₃	semidirect
1172. #3513	C₂×C₅₃	semidirect
1173. #3512	C₂×C₅₃	semidirect
1174. #3506	C₂×C₅₃	semidirect
1175. #3494	C₂×C₅₃	semidirect
1176. #3494	C₂×C₅₃	semidirect
1177. #3493	C₂×C₅₃	semidirect
1189. #563	C₂²×C₅₃	semidirect
1190. #563	C₂²×C₅₃	semidirect
1191. #563	C₂²×C₅₃	semidirect
1192. #563	C₂²×C₅₃	semidirect
1193. #563	C₂²×C₅₃	semidirect
1194. #562	C₂²×C₅₃	semidirect
1195. #562	C₂²×C₅₃	semidirect
1196. #562	C₂²×C₅₃	semidirect
1197. #562	C₂²×C₅₃	semidirect
1198. #562	C₂²×C₅₃	semidirect
1199. #562	C₂²×C₅₃	semidirect
1200. #562	C₂²×C₅₃	semidirect
1201. #562	C₂²×C₅₃	semidirect
1202. #562	C₂²×C₅₃	semidirect
1203. #562	C₂²×C₅₃	semidirect
1204. #562	C₂²×C₅₃	semidirect
1205. H(3,𝔽₄)	C₂²×C₅₃	semidirect
1206. H(3,𝔽₄)	C₂²×C₅₃	semidirect
1207. H(3,𝔽₄)	C₂²×C₅₃	semidirect
1208. #560	C₂²×C₅₃	semidirect
1209. #560	C₂²×C₅₃	semidirect
1210. #560	C₂²×C₅₃	semidirect
1211. #560	C₂²×C₅₃	semidirect
1212. #560	C₂²×C₅₃	semidirect
1213. #560	C₂²×C₅₃	semidirect
1214. #560	C₂²×C₅₃	semidirect
1215. #560	C₂²×C₅₃	semidirect
1216. #560	C₂²×C₅₃	semidirect
1217. #559	C₂²×C₅₃	semidirect
1218. #559	C₂²×C₅₃	semidirect
1219. #559	C₂²×C₅₃	semidirect
1220. #557	C₂²×C₅₃	semidirect
1221. #556	C₂²×C₅₃	semidirect
1222. #556	C₂²×C₅₃	semidirect
1223. #556	C₂²×C₅₃	semidirect
1224. #556	C₂²×C₅₃	semidirect
1225. #556	C₂²×C₅₃	semidirect
1226. #555	C₂²×C₅₃	semidirect
1227. #555	C₂²×C₅₃	semidirect
1228. #555	C₂²×C₅₃	semidirect
1229. #555	C₂²×C₅₃	semidirect
1230. #555	C₂²×C₅₃	semidirect
1231. #555	C₂²×C₅₃	semidirect
1232. #555	C₂²×C₅₃	semidirect
1233. #555	C₂²×C₅₃	semidirect
1234. #554	C₂²×C₅₃	semidirect
1235. #554	C₂²×C₅₃	semidirect
1236. #553	C₂²×C₅₃	semidirect
1237. #553	C₂²×C₅₃	semidirect
1238. #553	C₂²×C₅₃	semidirect
1239. #553	C₂²×C₅₃	semidirect
1240. #553	C₂²×C₅₃	semidirect
1241. #553	C₂²×C₅₃	semidirect
1242. #553	C₂²×C₅₃	semidirect
1243. #553	C₂²×C₅₃	semidirect
1244. #553	C₂²×C₅₃	semidirect
1245. #553	C₂²×C₅₃	semidirect
1246. #553	C₂²×C₅₃	semidirect
1247. #553	C₂²×C₅₃	semidirect
1248. #553	C₂²×C₅₃	semidirect
1249. #553	C₂²×C₅₃	semidirect
1250. #553	C₂²×C₅₃	semidirect
1251. #553	C₂²×C₅₃	semidirect
1252. #553	C₂²×C₅₃	semidirect
1253. #553	C₂²×C₅₃	semidirect
1254. #552	C₂²×C₅₃	semidirect
1255. #552	C₂²×C₅₃	semidirect
1256. #552	C₂²×C₅₃	semidirect
1257. #552	C₂²×C₅₃	semidirect
1258. #552	C₂²×C₅₃	semidirect
1259. #552	C₂²×C₅₃	semidirect
1260. #551	C₂²×C₅₃	semidirect
1261. #551	C₂²×C₅₃	semidirect
1262. #551	C₂²×C₅₃	semidirect
1263. #551	C₂²×C₅₃	semidirect
1264. #551	C₂²×C₅₃	semidirect
1265. #551	C₂²×C₅₃	semidirect
1266. #551	C₂²×C₅₃	semidirect
1267. #551	C₂²×C₅₃	semidirect
1268. #551	C₂²×C₅₃	semidirect
1269. #550	C₂²×C₅₃	semidirect
1270. #550	C₂²×C₅₃	semidirect
1271. #550	C₂²×C₅₃	semidirect
1272. #550	C₂²×C₅₃	semidirect
1273. #550	C₂²×C₅₃	semidirect
1274. #550	C₂²×C₅₃	semidirect
1275. D₄×Q₈	C₂²×C₅₃	semidirect
1276. #548	C₂²×C₅₃	semidirect
1277. #548	C₂²×C₅₃	semidirect
1278. #547	C₂²×C₅₃	semidirect
1279. #547	C₂²×C₅₃	semidirect
1280. #547	C₂²×C₅₃	semidirect
1281. #547	C₂²×C₅₃	semidirect
1282. #547	C₂²×C₅₃	semidirect
1283. #547	C₂²×C₅₃	semidirect
1284. #547	C₂²×C₅₃	semidirect
1285. #547	C₂²×C₅₃	semidirect
1286. #546	C₂²×C₅₃	semidirect
1287. #546	C₂²×C₅₃	semidirect
1288. #546	C₂²×C₅₃	semidirect
1289. #546	C₂²×C₅₃	semidirect
1290. #546	C₂²×C₅₃	semidirect
1291. #546	C₂²×C₅₃	semidirect
1292. #546	C₂²×C₅₃	semidirect
1293. #546	C₂²×C₅₃	semidirect
1294. #546	C₂²×C₅₃	semidirect
1295. #546	C₂²×C₅₃	semidirect
1296. #546	C₂²×C₅₃	semidirect
1297. #546	C₂²×C₅₃	semidirect
1298. #546	C₂²×C₅₃	semidirect
1299. #546	C₂²×C₅₃	semidirect
1300. #546	C₂²×C₅₃	semidirect
1302. D₄²	C₂²×C₅₃	semidirect
1303. D₄²	C₂²×C₅₃	semidirect
1304. D₄²	C₂²×C₅₃	semidirect
1305. D₄²	C₂²×C₅₃	semidirect
1306. D₄²	C₂²×C₅₃	semidirect
1307. D₄²	C₂²×C₅₃	semidirect
1308. D₄²	C₂²×C₅₃	semidirect
1309. #544	C₂²×C₅₃	semidirect
1310. #544	C₂²×C₅₃	semidirect
1311. #544	C₂²×C₅₃	semidirect
1312. #542	C₂²×C₅₃	semidirect
1313. #542	C₂²×C₅₃	semidirect
1314. #542	C₂²×C₅₃	semidirect
1315. #542	C₂²×C₅₃	semidirect
1316. #542	C₂²×C₅₃	semidirect
1317. #542	C₂²×C₅₃	semidirect
1318. #542	C₂²×C₅₃	semidirect
1319. #542	C₂²×C₅₃	semidirect
1320. #542	C₂²×C₅₃	semidirect
1321. #541	C₂²×C₅₃	semidirect
1322. #541	C₂²×C₅₃	semidirect
1323. #540	C₂²×C₅₃	semidirect
1324. #540	C₂²×C₅₃	semidirect
1325. #540	C₂²×C₅₃	semidirect
1326. #540	C₂²×C₅₃	semidirect
1327. #540	C₂²×C₅₃	semidirect
1328. #540	C₂²×C₅₃	semidirect
1329. #540	C₂²×C₅₃	semidirect
1330. #540	C₂²×C₅₃	semidirect
1331. #540	C₂²×C₅₃	semidirect
1332. #540	C₂²×C₅₃	semidirect
1333. #539	C₂²×C₅₃	semidirect
1334. #539	C₂²×C₅₃	semidirect
1335. #539	C₂²×C₅₃	semidirect
1336. #539	C₂²×C₅₃	semidirect
1337. #539	C₂²×C₅₃	semidirect
1338. #539	C₂²×C₅₃	semidirect
1339. #538	C₂²×C₅₃	semidirect
1340. #538	C₂²×C₅₃	semidirect
1341. #538	C₂²×C₅₃	semidirect
1342. #538	C₂²×C₅₃	semidirect
1343. #538	C₂²×C₅₃	semidirect
1344. #538	C₂²×C₅₃	semidirect
1345. #538	C₂²×C₅₃	semidirect
1346. #538	C₂²×C₅₃	semidirect
1347. #538	C₂²×C₅₃	semidirect
1348. #538	C₂²×C₅₃	semidirect
1349. #538	C₂²×C₅₃	semidirect
1350. #538	C₂²×C₅₃	semidirect
1351. #538	C₂²×C₅₃	semidirect
1352. #538	C₂²×C₅₃	semidirect
1353. #537	C₂²×C₅₃	semidirect
1354. #537	C₂²×C₅₃	semidirect
1355. #537	C₂²×C₅₃	semidirect
1356. #537	C₂²×C₅₃	semidirect
1357. #537	C₂²×C₅₃	semidirect
1358. #537	C₂²×C₅₃	semidirect
1359. #536	C₂²×C₅₃	semidirect
1360. #535	C₂²×C₅₃	semidirect
1361. #535	C₂²×C₅₃	semidirect
1362. #535	C₂²×C₅₃	semidirect
1363. #535	C₂²×C₅₃	semidirect
1364. #535	C₂²×C₅₃	semidirect
1365. #535	C₂²×C₅₃	semidirect
1366. #535	C₂²×C₅₃	semidirect
1367. #535	C₂²×C₅₃	semidirect
1368. #535	C₂²×C₅₃	semidirect
1369. #534	C₂²×C₅₃	semidirect
1370. #534	C₂²×C₅₃	semidirect
1371. #534	C₂²×C₅₃	semidirect
1372. #534	C₂²×C₅₃	semidirect
1373. #533	C₂²×C₅₃	semidirect
1374. #532	C₂²×C₅₃	semidirect
1375. #532	C₂²×C₅₃	semidirect
1376. #532	C₂²×C₅₃	semidirect
1377. #532	C₂²×C₅₃	semidirect
1378. #532	C₂²×C₅₃	semidirect
1379. #532	C₂²×C₅₃	semidirect
1380. #532	C₂²×C₅₃	semidirect
1381. #532	C₂²×C₅₃	semidirect
1382. #529	C₂²×C₅₃	semidirect
1383. #529	C₂²×C₅₃	semidirect
1384. #529	C₂²×C₅₃	semidirect
1385. #529	C₂²×C₅₃	semidirect
1386. #529	C₂²×C₅₃	semidirect
1387. #529	C₂²×C₅₃	semidirect
1388. #529	C₂²×C₅₃	semidirect
1389. #529	C₂²×C₅₃	semidirect
1390. #529	C₂²×C₅₃	semidirect
1391. #529	C₂²×C₅₃	semidirect
1392. #529	C₂²×C₅₃	semidirect
1393. #529	C₂²×C₅₃	semidirect
1394. #529	C₂²×C₅₃	semidirect
1395. C₂×#125	C₂²×C₅₃	semidirect
1396. C₂×#124	C₂²×C₅₃	semidirect
1397. #525	C₂²×C₅₃	semidirect
1398. #525	C₂²×C₅₃	semidirect
1399. #525	C₂²×C₅₃	semidirect
1400. #525	C₂²×C₅₃	semidirect
1401. #525	C₂²×C₅₃	semidirect
1402. #525	C₂²×C₅₃	semidirect
1403. #525	C₂²×C₅₃	semidirect
1404. #525	C₂²×C₅₃	semidirect
1405. C₂×#123	C₂²×C₅₃	semidirect
1406. C₂×#121	C₂²×C₅₃	semidirect
1407. C₂×#121	C₂²×C₅₃	semidirect
1408. C₂×#121	C₂²×C₅₃	semidirect
1409. #520	C₂²×C₅₃	semidirect
1410. #520	C₂²×C₅₃	semidirect
1411. #520	C₂²×C₅₃	semidirect
1412. #520	C₂²×C₅₃	semidirect
1413. #518	C₂²×C₅₃	semidirect
1414. #518	C₂²×C₅₃	semidirect
1415. C₄×#41	C₂²×C₅₃	semidirect
1416. C₂×C₄×D₄	C₂²×C₅₃	semidirect
1417. C₂×#117	C₂²×C₅₃	semidirect
1418. C₅₃	#63051	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₅₃×#3568	2
C₅₃×#3566	2
C₅₃×#3565	2
C₅₃×#3562	2
C₅₃×#3559	2
C₅₃×#3558	2
C₅₃×#3549	2
C₅₃×#3547	2
C₅₃×#3546	2
C₅₃×#3545	2
C₅₃×#3542	2
C₅₃×#3537	2
C₅₃×#3534	2
C₅₃×#3533	2
C₅₃×#3529	2
C₅₃×#3519	2
C₅₃×#3517	2
C₅₃×#3514	2
C₅₃×#3513	2
C₅₃×#3512	2
C₅₃×#3506	2
C₅₃×#3494	2
C₅₃×#3493	2
#63051	53

Subgroups — C53×#63051 #27270563

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#63051 #27270563