Subgroups — C₅₃×#63065 #27270577

Order 13568.

6492 conjugacy classes of subgroups.

The subgroup lattice has 2260 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅₃×#3567	C₂	1	2	yes	maximal, complemented
2	C₅₃×#3566	C₂	1	4	yes	maximal, complemented
3	C₅₃×#3564	C₂	1	4	yes	maximal, complemented
4	C₅₃×#3563	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅₃×#3562	C₂	1	4	yes	maximal, complemented
6	C₅₃×#3561	C₂	1	2	yes	maximal, complemented
7	C₅₃×#3560	C₂	1	4	yes	maximal, complemented
8	C₅₃×#3559	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#3552	C₂	1	2	yes	maximal, complemented
10	C₅₃×#3551	C₂	1	2	yes	maximal, complemented
11	C₅₃×#3551	C₂	1	4	yes	maximal, complemented
12	C₅₃×#3548	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅₃×#3547	C₂	1	4	yes	maximal, complemented
14	C₅₃×#3545	C₂	1	2	yes	maximal, complemented
15	C₅₃×#3544	C₂	1	2	yes	maximal, complemented
16	C₅₃×#3542	C₂	1	2	yes	maximal, complemented
17	C₅₃×#3541	C₂	1	2	yes	maximal, complemented
18	C₅₃×#3536	C₂	1	2	yes	maximal, complemented
19	C₅₃×#3531	C₂	1	2	yes	maximal, complemented
20	C₅₃×#3529	C₂	1	1	yes	maximal, characteristic, complemented
21	C₅₃×#3524	C₂	1	2	yes	maximal, complemented
22	C₅₃×#3521	C₂	1	2	yes	maximal, complemented
23	C₅₃×#3518	C₂	1	1	yes	maximal, characteristic, complemented
24	C₅₃×#3514	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#3512	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#3511	C₂	1	2	yes	maximal, complemented
27	C₅₃×#3495	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×#564	C₂²	1	2	yes	complemented
31	C₅₃×#563	C₂²	1	2	yes	—
32	C₅₃×#563	C₂²	1	1	yes	characteristic, complemented
33	C₅₃×#563	C₂²	1	2	yes	complemented
34	C₅₃×#563	C₂²	1	4	yes	complemented
35	C₅₃×#563	C₂²	1	4	yes	complemented
36	C₅₃×#563	C₂²	1	4	yes	complemented
37	C₅₃×#563	C₂²	1	4	yes	complemented
38	C₅₃×#563	C₂²	1	2	yes	complemented
39	C₅₃×#563	C₂²	1	4	yes	complemented
40	C₅₃×#563	C₂²	1	4	yes	complemented
41	C₅₃×#562	C₂²	1	1	yes	characteristic
42	C₅₃×#562	C₂²	1	2	yes	complemented
43	C₅₃×#562	C₂²	1	2	yes	complemented
44	C₅₃×#562	C₂²	1	1	yes	characteristic, complemented
45	C₅₃×#562	C₂²	1	4	yes	complemented
46	C₅₃×#562	C₂²	1	4	yes	complemented
47	C₅₃×#562	C₂²	1	2	yes	complemented
48	C₅₃×#562	C₂²	1	4	yes	complemented
49	C₅₃×#562	C₂²	1	4	yes	complemented
50	C₅₃×#562	C₂²	1	2	yes	complemented
51	C₅₃×#562	C₂²	1	2	yes	complemented
52	C₅₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic
53	C₅₃×#560	C₂²	1	2	yes	—
54	C₅₃×#560	C₂²	1	4	yes	—
55	C₅₃×#560	C₂²	1	2	yes	complemented
56	C₅₃×#560	C₂²	1	2	yes	complemented
57	C₅₃×#560	C₂²	1	4	yes	complemented
58	C₅₃×#559	C₂²	1	1	yes	characteristic, complemented
59	C₅₃×#559	C₂²	1	4	yes	complemented
60	Q₈²×C₅₃	C₂²	1	1	yes	characteristic, complemented
61	C₅₃×#557	C₂²	1	2	yes	complemented
62	C₅₃×#556	C₂²	1	1	yes	characteristic
63	C₅₃×#556	C₂²	1	2	yes	complemented
64	C₅₃×#556	C₂²	1	2	yes	complemented
65	C₅₃×#556	C₂²	1	4	yes	complemented
66	C₅₃×#556	C₂²	1	2	yes	complemented
67	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
68	C₅₃×#556	C₂²	1	4	yes	complemented
69	C₅₃×#556	C₂²	1	2	yes	complemented
70	C₅₃×#555	C₂²	1	2	yes	—
71	C₅₃×#555	C₂²	1	1	yes	characteristic
72	C₅₃×#555	C₂²	1	2	yes	complemented
73	C₅₃×#555	C₂²	1	4	yes	complemented
74	C₅₃×#555	C₂²	1	2	yes	complemented
75	C₅₃×#555	C₂²	1	2	yes	complemented
76	C₅₃×#555	C₂²	1	4	yes	complemented
77	C₅₃×#555	C₂²	1	4	yes	complemented
78	C₅₃×#554	C₂²	1	2	yes	complemented
79	C₅₃×#554	C₂²	1	2	yes	complemented
80	C₅₃×#554	C₂²	1	2	yes	complemented
81	C₅₃×#554	C₂²	1	2	yes	complemented
82	C₅₃×#554	C₂²	1	2	yes	complemented
83	C₅₃×#554	C₂²	1	4	yes	complemented
84	C₅₃×#554	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	4	yes	complemented
88	C₅₃×#553	C₂²	1	2	yes	complemented
89	C₅₃×#553	C₂²	1	2	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	2	yes	complemented
94	C₅₃×#553	C₂²	1	4	yes	complemented
95	C₅₃×#553	C₂²	1	4	yes	complemented
96	C₅₃×#553	C₂²	1	4	yes	complemented
97	C₅₃×#553	C₂²	1	4	yes	complemented
98	C₅₃×#553	C₂²	1	4	yes	complemented
99	C₅₃×#552	C₂²	1	2	yes	—
100	C₅₃×#552	C₂²	1	2	yes	complemented
101	C₅₃×#552	C₂²	1	2	yes	complemented
102	C₅₃×#552	C₂²	1	4	yes	complemented
103	C₅₃×#552	C₂²	1	2	yes	complemented
104	C₅₃×#552	C₂²	1	2	yes	complemented
105	C₅₃×#552	C₂²	1	4	yes	complemented
106	C₅₃×#552	C₂²	1	4	yes	complemented
107	C₅₃×#552	C₂²	1	2	yes	complemented
108	C₅₃×#552	C₂²	1	4	yes	complemented
109	C₅₃×#552	C₂²	1	4	yes	complemented
110	C₅₃×#552	C₂²	1	4	yes	complemented
111	C₅₃×#552	C₂²	1	4	yes	complemented
112	C₅₃×#551	C₂²	1	4	yes	—
113	C₅₃×#551	C₂²	1	4	yes	complemented
114	C₅₃×#551	C₂²	1	4	yes	complemented
115	C₅₃×#551	C₂²	1	4	yes	complemented
116	C₅₃×#551	C₂²	1	4	yes	complemented
117	C₅₃×#551	C₂²	1	4	yes	complemented
118	C₅₃×#551	C₂²	1	4	yes	complemented
119	C₅₃×#551	C₂²	1	4	yes	complemented
120	C₅₃×#551	C₂²	1	4	yes	complemented
121	C₅₃×#550	C₂²	1	2	yes	complemented
122	C₅₃×#550	C₂²	1	2	yes	complemented
123	D₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
124	D₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
125	D₄×Q₈×C₅₃	C₂²	1	4	yes	complemented
126	C₅₃×#548	C₂²	1	4	yes	complemented
127	C₅₃×#548	C₂²	1	4	yes	complemented
128	C₅₃×#548	C₂²	1	2	yes	complemented
129	C₅₃×#548	C₂²	1	2	yes	complemented
130	C₅₃×#548	C₂²	1	2	yes	complemented
131	C₅₃×#548	C₂²	1	2	yes	complemented
132	C₅₃×#548	C₂²	1	4	yes	complemented
133	C₅₃×#547	C₂²	1	2	yes	—
134	C₅₃×#547	C₂²	1	2	yes	complemented
135	C₅₃×#547	C₂²	1	2	yes	complemented
136	C₅₃×#547	C₂²	1	2	yes	complemented
137	C₅₃×#547	C₂²	1	2	yes	complemented
138	C₅₃×#547	C₂²	1	4	yes	complemented
139	C₅₃×#547	C₂²	1	4	yes	complemented
140	C₅₃×#546	C₂²	1	2	yes	—
141	C₅₃×#546	C₂²	1	2	yes	—
142	C₅₃×#546	C₂²	1	4	yes	—
143	C₅₃×#546	C₂²	1	4	yes	complemented
144	C₅₃×#546	C₂²	1	4	yes	complemented
145	C₅₃×#546	C₂²	1	2	yes	complemented
146	C₅₃×#546	C₂²	1	2	yes	complemented
147	C₅₃×#546	C₂²	1	4	yes	complemented
148	C₅₃×#546	C₂²	1	4	yes	complemented
149	D₄²×C₅₃	C₂²	1	1	yes	characteristic
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×#544	C₂²	1	4	yes	complemented
154	C₅₃×#544	C₂²	1	2	yes	complemented
155	C₅₃×#543	C₂²	1	4	yes	complemented
156	C₅₃×#542	C₂²	1	4	yes	—
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	2	yes	complemented
161	C₅₃×#542	C₂²	1	2	yes	complemented
162	C₅₃×#542	C₂²	1	4	yes	complemented
163	C₅₃×#542	C₂²	1	2	yes	complemented
164	C₅₃×#542	C₂²	1	2	yes	complemented
165	C₅₃×#542	C₂²	1	4	yes	complemented
166	C₅₃×#542	C₂²	1	4	yes	complemented
167	C₅₃×#542	C₂²	1	4	yes	complemented
168	C₅₃×#541	C₂²	1	4	yes	complemented
169	C₅₃×#541	C₂²	1	2	yes	complemented
170	C₅₃×#541	C₂²	1	2	yes	complemented
171	C₅₃×#541	C₂²	1	4	yes	complemented
172	C₅₃×#541	C₂²	1	4	yes	complemented
173	C₅₃×#540	C₂²	1	4	yes	complemented
174	C₅₃×#540	C₂²	1	2	yes	complemented
175	C₅₃×#540	C₂²	1	2	yes	complemented
176	C₅₃×#540	C₂²	1	4	yes	complemented
177	C₅₃×#540	C₂²	1	4	yes	complemented
178	C₅₃×#540	C₂²	1	4	yes	complemented
179	C₅₃×#540	C₂²	1	4	yes	complemented
180	C₅₃×#540	C₂²	1	4	yes	complemented
181	C₅₃×#539	C₂²	1	2	yes	—
182	C₅₃×#539	C₂²	1	4	yes	complemented
183	C₅₃×#539	C₂²	1	4	yes	complemented
184	C₅₃×#539	C₂²	1	4	yes	complemented
185	C₅₃×#539	C₂²	1	4	yes	complemented
186	C₅₃×#539	C₂²	1	4	yes	complemented
187	C₅₃×#539	C₂²	1	4	yes	complemented
188	C₅₃×#539	C₂²	1	2	yes	complemented
189	C₅₃×#538	C₂²	1	4	yes	—
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×#538	C₂²	1	4	yes	complemented
195	C₅₃×#538	C₂²	1	4	yes	complemented
196	C₅₃×#538	C₂²	1	4	yes	complemented
197	C₅₃×#538	C₂²	1	4	yes	complemented
198	C₅₃×#538	C₂²	1	4	yes	complemented
199	C₅₃×#537	C₂²	1	2	yes	—
200	C₅₃×#537	C₂²	1	1	yes	characteristic
201	C₅₃×#537	C₂²	1	2	yes	complemented
202	C₅₃×#537	C₂²	1	2	yes	complemented
203	C₅₃×#537	C₂²	1	1	yes	characteristic, complemented
204	C₅₃×#537	C₂²	1	4	yes	complemented
205	C₅₃×#537	C₂²	1	4	yes	complemented
206	C₅₃×#537	C₂²	1	2	yes	complemented
207	C₅₃×#536	C₂²	1	2	yes	complemented
208	C₅₃×#536	C₂²	1	4	yes	complemented
209	C₅₃×#536	C₂²	1	4	yes	complemented
210	C₅₃×#536	C₂²	1	4	yes	complemented
211	C₅₃×#535	C₂²	1	2	yes	—
212	C₅₃×#535	C₂²	1	4	yes	complemented
213	C₅₃×#534	C₂²	1	4	yes	—
214	C₅₃×#533	C₂²	1	4	yes	complemented
215	C₅₃×#533	C₂²	1	4	yes	complemented
216	C₅₃×#533	C₂²	1	2	yes	complemented
217	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
218	C₅₃×#532	C₂²	1	4	yes	complemented
219	C₅₃×#532	C₂²	1	2	yes	complemented
220	C₅₃×#532	C₂²	1	4	yes	complemented
221	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
222	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
223	C₂×C₄⋊Q₈×C₅₃	C₂²	1	2	yes	complemented
224	C₅₃×#529	C₂²	1	1	yes	characteristic
225	C₅₃×#529	C₂²	1	4	yes	complemented
226	C₅₃×#529	C₂²	1	4	yes	complemented
227	C₅₃×#529	C₂²	1	4	yes	complemented
228	C₅₃×#529	C₂²	1	4	yes	complemented
229	C₅₃×#529	C₂²	1	2	yes	complemented
230	C₅₃×#529	C₂²	1	2	yes	complemented
231	C₅₃×#529	C₂²	1	2	yes	complemented
232	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
233	C₅₃×#529	C₂²	1	2	yes	complemented
234	C₅₃×#529	C₂²	1	2	yes	complemented
235	C₅₃×#529	C₂²	1	4	yes	complemented
236	C₅₃×#529	C₂²	1	2	yes	complemented
237	C₅₃×#529	C₂²	1	2	yes	complemented
238	C₅₃×#529	C₂²	1	4	yes	complemented
239	C₅₃×#529	C₂²	1	2	yes	complemented
240	C₅₃×#529	C₂²	1	4	yes	complemented
241	C₂×#126×C₅₃	C₂²	1	4	yes	complemented
242	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
243	C₂×#124×C₅₃	C₂²	1	2	yes	—
244	C₅₃×#525	C₂²	1	2	yes	—
245	C₅₃×#525	C₂²	1	2	yes	complemented
246	C₅₃×#525	C₂²	1	2	yes	complemented
247	C₅₃×#525	C₂²	1	2	yes	complemented
248	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	2	yes	complemented
249	C₂×#121×C₅₃	C₂²	1	2	yes	complemented
250	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
251	C₅₃×#520	C₂²	1	2	yes	complemented
252	C₅₃×#520	C₂²	1	2	yes	complemented
253	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
254	C₅₃×#519	C₂²	1	2	yes	complemented
255	C₅₃×#518	C₂²	1	2	yes	complemented
256	C₄×#41×C₅₃	C₂²	1	2	yes	complemented
257	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, 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	2	yes	—
261	C₂×#41×C₅₃	C₂³	1	2	yes	—
262	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
263	C₂×#41×C₅₃	C₂³	1	2	yes	—
264	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
265	C₂×#41×C₅₃	C₂³	1	4	yes	—
266	C₂×#41×C₅₃	C₂³	1	4	yes	—
267	C₂×#41×C₅₃	C₂³	1	4	yes	—
268	C₂×#41×C₅₃	C₂³	1	2	yes	—
269	C₂×#41×C₅₃	C₂³	1	4	yes	—
270	C₂²×Q₈×C₅₃	C₂³	1	2	yes	—
271	C₂²×Q₈×C₅₃	C₂³	1	2	yes	—
272	C₂²×Q₈×C₅₃	C₂³	1	4	yes	—
273	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
274	C₂²×D₄×C₅₃	C₂³	1	4	yes	—
275	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
276	C₂³×C₄×C₅₃	C₂³	1	2	yes	—
277	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
278	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
279	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
280	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
281	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
282	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
283	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
284	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
285	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
286	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
287	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
288	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
289	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
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	4	yes	—
294	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
295	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
296	#127×C₅₃	C₂³	1	2	yes	—
297	#127×C₅₃	C₂³	1	4	yes	—
298	#127×C₅₃	C₂³	1	1	yes	characteristic
299	#127×C₅₃	C₂³	1	1	yes	characteristic
300	#127×C₅₃	C₂³	1	4	yes	—
301	#126×C₅₃	C₂³	1	2	yes	—
302	#126×C₅₃	C₂³	1	4	yes	—
303	#126×C₅₃	C₂³	1	4	yes	—
304	#126×C₅₃	C₂³	1	4	yes	—
305	#126×C₅₃	C₂³	1	4	yes	—
306	#126×C₅₃	C₂³	1	4	yes	—
307	#126×C₅₃	C₂³	1	4	yes	—
308	#126×C₅₃	C₂³	1	4	yes	—
309	#126×C₅₃	C₂³	1	2	yes	—
310	#126×C₅₃	C₂³	1	2	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	4	yes	—
323	#126×C₅₃	C₂³	1	4	yes	—
324	#126×C₅₃	C₂³	1	4	yes	—
325	#126×C₅₃	C₂³	1	4	yes	—
326	#126×C₅₃	C₂³	1	4	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	2	yes	—
342	#125×C₅₃	C₂³	1	4	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	4	yes	—
347	#125×C₅₃	C₂³	1	4	yes	—
348	#125×C₅₃	C₂³	1	4	yes	—
349	#125×C₅₃	C₂³	1	2	yes	—
350	#125×C₅₃	C₂³	1	2	yes	—
351	#125×C₅₃	C₂³	1	2	yes	—
352	#125×C₅₃	C₂³	1	2	yes	—
353	#125×C₅₃	C₂³	1	4	yes	—
354	#125×C₅₃	C₂³	1	4	yes	—
355	#125×C₅₃	C₂³	1	4	yes	—
356	#125×C₅₃	C₂³	1	4	yes	—
357	#125×C₅₃	C₂³	1	4	yes	—
358	#125×C₅₃	C₂³	1	4	yes	—
359	#125×C₅₃	C₂³	1	4	yes	—
360	#125×C₅₃	C₂³	1	4	yes	—
361	#125×C₅₃	C₂³	1	4	yes	—
362	#125×C₅₃	C₂³	1	4	yes	—
363	#124×C₅₃	C₂³	1	1	yes	characteristic
364	#124×C₅₃	C₂³	1	2	yes	—
365	#124×C₅₃	C₂³	1	4	yes	—
366	#124×C₅₃	C₂³	1	4	yes	—
367	#124×C₅₃	C₂³	1	2	yes	—
368	#124×C₅₃	C₂³	1	2	yes	—
369	#124×C₅₃	C₂³	1	1	yes	characteristic
370	#124×C₅₃	C₂³	1	1	yes	characteristic
371	#124×C₅₃	C₂³	1	1	yes	characteristic
372	#124×C₅₃	C₂³	1	4	yes	—
373	#124×C₅₃	C₂³	1	4	yes	—
374	#124×C₅₃	C₂³	1	2	yes	—
375	#124×C₅₃	C₂³	1	4	yes	—
376	#124×C₅₃	C₂³	1	4	yes	—
377	#124×C₅₃	C₂³	1	4	yes	—
378	#124×C₅₃	C₂³	1	4	yes	—
379	#124×C₅₃	C₂³	1	2	yes	—
380	#124×C₅₃	C₂³	1	2	yes	—
381	#124×C₅₃	C₂³	1	4	yes	—
382	#124×C₅₃	C₂³	1	2	yes	—
383	#124×C₅₃	C₂³	1	4	yes	—
384	#124×C₅₃	C₂³	1	4	yes	—
385	#124×C₅₃	C₂³	1	4	yes	—
386	#124×C₅₃	C₂³	1	4	yes	—
387	#124×C₅₃	C₂³	1	2	yes	—
388	#124×C₅₃	C₂³	1	2	yes	—
389	#124×C₅₃	C₂³	1	4	yes	—
390	#124×C₅₃	C₂³	1	4	yes	—
391	#124×C₅₃	C₂³	1	4	yes	—
392	#124×C₅₃	C₂³	1	4	yes	—
393	#124×C₅₃	C₂³	1	4	yes	—
394	#124×C₅₃	C₂³	1	4	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	2	yes	—
399	#123×C₅₃	C₂³	1	2	yes	—
400	#123×C₅₃	C₂³	1	2	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	4	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	2	yes	—
417	#123×C₅₃	C₂³	1	4	yes	—
418	#123×C₅₃	C₂³	1	4	yes	—
419	#123×C₅₃	C₂³	1	4	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	2	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	#123×C₅₃	C₂³	1	4	yes	—
439	#123×C₅₃	C₂³	1	4	yes	—
440	#123×C₅₃	C₂³	1	4	yes	—
441	#123×C₅₃	C₂³	1	4	yes	—
442	#123×C₅₃	C₂³	1	4	yes	—
443	#123×C₅₃	C₂³	1	4	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	2	yes	—
448	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
449	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
450	C₂²⋊Q₈×C₅₃	C₂³	1	2	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	2	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	1	yes	characteristic
459	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
460	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
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	2	yes	—
465	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
466	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
467	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
468	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
469	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
470	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
471	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
472	C₂²⋊Q₈×C₅₃	C₂³	1	2	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	2	yes	—
477	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
478	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
479	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
480	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
481	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
482	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
483	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
484	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
485	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
486	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
487	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
488	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
489	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
490	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
491	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
492	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
493	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
494	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
495	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
496	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
497	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
498	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
499	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
500	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
501	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
502	C₂²⋊Q₈×C₅₃	C₂³	1	4	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	2	yes	—
507	#121×C₅₃	C₂³	1	4	yes	—
508	#121×C₅₃	C₂³	1	2	yes	—
509	#121×C₅₃	C₂³	1	2	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	2	yes	—
514	#121×C₅₃	C₂³	1	2	yes	—
515	#121×C₅₃	C₂³	1	2	yes	—
516	#121×C₅₃	C₂³	1	2	yes	—
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	4	yes	—
522	#121×C₅₃	C₂³	1	4	yes	—
523	#121×C₅₃	C₂³	1	2	yes	—
524	#121×C₅₃	C₂³	1	4	yes	—
525	#121×C₅₃	C₂³	1	1	yes	characteristic
526	#121×C₅₃	C₂³	1	2	yes	—
527	#121×C₅₃	C₂³	1	4	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	2	yes	—
532	#121×C₅₃	C₂³	1	4	yes	—
533	#121×C₅₃	C₂³	1	4	yes	—
534	#121×C₅₃	C₂³	1	2	yes	—
535	#121×C₅₃	C₂³	1	2	yes	—
536	#121×C₅₃	C₂³	1	2	yes	—
537	#121×C₅₃	C₂³	1	4	yes	—
538	#121×C₅₃	C₂³	1	2	yes	—
539	#121×C₅₃	C₂³	1	2	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	2	yes	—
544	#121×C₅₃	C₂³	1	2	yes	—
545	#121×C₅₃	C₂³	1	2	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	#121×C₅₃	C₂³	1	4	yes	—
562	#121×C₅₃	C₂³	1	4	yes	—
563	#121×C₅₃	C₂³	1	4	yes	—
564	#121×C₅₃	C₂³	1	4	yes	—
565	#121×C₅₃	C₂³	1	4	yes	—
566	#120×C₅₃	C₂³	1	2	yes	—
567	#120×C₅₃	C₂³	1	2	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	2	yes	—
572	#120×C₅₃	C₂³	1	2	yes	—
573	#120×C₅₃	C₂³	1	4	yes	—
574	#120×C₅₃	C₂³	1	4	yes	—
575	#120×C₅₃	C₂³	1	4	yes	—
576	#120×C₅₃	C₂³	1	4	yes	—
577	#120×C₅₃	C₂³	1	4	yes	—
578	#120×C₅₃	C₂³	1	4	yes	—
579	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
580	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
581	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
582	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
583	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
584	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
585	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
586	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
587	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
588	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
589	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
590	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
591	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
592	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
593	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
594	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
595	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
596	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
597	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
598	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
599	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
600	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
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	2	yes	—
605	C₄×D₄×C₅₃	C₂³	1	4	yes	—
606	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
607	C₄×D₄×C₅₃	C₂³	1	2	yes	—
608	C₄×D₄×C₅₃	C₂³	1	4	yes	—
609	C₄×D₄×C₅₃	C₂³	1	2	yes	—
610	C₄×D₄×C₅₃	C₂³	1	2	yes	—
611	C₄×D₄×C₅₃	C₂³	1	4	yes	—
612	C₄×D₄×C₅₃	C₂³	1	2	yes	—
613	C₄×D₄×C₅₃	C₂³	1	4	yes	—
614	C₄×D₄×C₅₃	C₂³	1	4	yes	—
615	C₄×D₄×C₅₃	C₂³	1	4	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	4	yes	—
620	C₄×D₄×C₅₃	C₂³	1	4	yes	—
621	C₄×D₄×C₅₃	C₂³	1	4	yes	—
622	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
623	C₄×D₄×C₅₃	C₂³	1	2	yes	—
624	C₄×D₄×C₅₃	C₂³	1	2	yes	—
625	C₄×D₄×C₅₃	C₂³	1	2	yes	—
626	C₄×D₄×C₅₃	C₂³	1	2	yes	—
627	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
628	C₄×D₄×C₅₃	C₂³	1	2	yes	—
629	C₄×D₄×C₅₃	C₂³	1	2	yes	—
630	C₄×D₄×C₅₃	C₂³	1	2	yes	—
631	C₄×D₄×C₅₃	C₂³	1	2	yes	—
632	C₄×D₄×C₅₃	C₂³	1	4	yes	—
633	C₄×D₄×C₅₃	C₂³	1	4	yes	—
634	C₄×D₄×C₅₃	C₂³	1	2	yes	—
635	C₄×D₄×C₅₃	C₂³	1	4	yes	—
636	C₄×D₄×C₅₃	C₂³	1	4	yes	—
637	C₄×D₄×C₅₃	C₂³	1	4	yes	—
638	C₄×D₄×C₅₃	C₂³	1	2	yes	—
639	C₄×D₄×C₅₃	C₂³	1	4	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	4	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	4	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	2	yes	—
653	#117×C₅₃	C₂³	1	2	yes	—
654	#117×C₅₃	C₂³	1	2	yes	—
655	#117×C₅₃	C₂³	1	2	yes	—
656	#117×C₅₃	C₂³	1	2	yes	—
657	#117×C₅₃	C₂³	1	4	yes	—
658	#117×C₅₃	C₂³	1	4	yes	—
659	#117×C₅₃	C₂³	1	2	yes	—
660	#117×C₅₃	C₂³	1	1	yes	characteristic
661	#117×C₅₃	C₂³	1	2	yes	—
662	#117×C₅₃	C₂³	1	4	yes	—
663	#117×C₅₃	C₂³	1	2	yes	—
664	#117×C₅₃	C₂³	1	2	yes	—
665	#117×C₅₃	C₂³	1	4	yes	—
666	#117×C₅₃	C₂³	1	4	yes	—
667	#117×C₅₃	C₂³	1	2	yes	—
668	#117×C₅₃	C₂³	1	2	yes	—
669	#117×C₅₃	C₂³	1	4	yes	—
670	#117×C₅₃	C₂³	1	4	yes	—
671	#117×C₅₃	C₂³	1	2	yes	—
672	#117×C₅₃	C₂³	1	2	yes	—
673	#117×C₅₃	C₂³	1	4	yes	—
674	#117×C₅₃	C₂³	1	4	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	2	yes	—
684	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	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	1	yes	characteristic
689	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
690	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
691	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
692	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
693	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
694	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
695	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
696	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
697	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
698	C₂×C₄⋊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×C₄²×C₅₃	C₂³	1	4	yes	—
708	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
709	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
710	C₂×C₄²×C₅₃	C₂³	1	4	yes	—
711	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
712	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
713	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
714	#41×C₅₃	—	4	4	no	—
715	#41×C₅₃	—	4	2	no	—
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	—	8	4	no	—
721	#41×C₅₃	—	8	4	no	—
722	#41×C₅₃	—	8	4	no	—
723	#41×C₅₃	—	8	2	no	—
724	#41×C₅₃	—	8	4	no	—
725	C₂×Q₈×C₅₃	—	4	4	no	—
726	C₂×Q₈×C₅₃	—	8	2	no	—
727	C₂×Q₈×C₅₃	—	8	4	no	—
728	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
729	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
730	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
731	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
732	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
733	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
734	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
735	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
736	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
737	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
738	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
739	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
740	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
741	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
742	C₂×D₄×C₅₃	—	4	4	no	—
743	C₂×D₄×C₅₃	—	8	2	no	—
744	C₂×D₄×C₅₃	—	8	4	no	—
745	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
746	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
747	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
748	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
749	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
750	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
751	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
752	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
753	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
754	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
755	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
756	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
757	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
758	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
759	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
760	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
761	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
762	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
763	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
764	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
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	4	yes	—
769	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
770	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
771	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
772	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
773	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
774	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
775	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
776	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
777	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
778	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
779	C₂²×C₄×C₅₃	—	4	4	no	—
780	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
781	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
782	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
783	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
784	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
785	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
786	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
787	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
788	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
789	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
790	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
791	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
792	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
793	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
794	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
795	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
796	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
797	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
798	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
799	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
800	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
801	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
802	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
803	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
804	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
805	C₂²×C₄×C₅₃	C₂⁴	1	4	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	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
812	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
813	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
814	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
815	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
816	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
817	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
818	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
819	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
820	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
821	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
822	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
823	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
824	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
825	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
826	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
827	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
828	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
829	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
830	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
831	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
832	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
833	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
834	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
835	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
836	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
837	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
838	C₄⋊C₄×C₅₃	C₂⁴	1	4	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	4	yes	—
844	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
845	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
846	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
847	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
848	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
849	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
850	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
851	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
852	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
853	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
854	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
855	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
856	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
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	4	yes	—
861	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
862	C₄⋊C₄×C₅₃	C₂⁴	1	4	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	1	yes	characteristic
869	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
870	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
871	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
872	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
873	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
874	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
875	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
876	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
877	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
878	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
879	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
880	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
881	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
882	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
883	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
884	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
885	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
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	4	yes	—
890	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
891	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
892	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
893	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
894	C₂²⋊C₄×C₅₃	C₂⁴	1	4	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	4	yes	—
899	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
900	C₂²⋊C₄×C₅₃	C₂⁴	1	4	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	2	yes	—
905	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
906	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
907	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
908	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
909	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
910	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
911	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
912	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
913	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
914	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
915	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
916	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
917	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
918	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
919	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
920	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
921	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
922	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
923	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
924	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
925	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
926	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
927	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
928	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
929	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
930	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
931	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
932	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
933	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
934	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
935	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
936	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
937	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
938	C₄²×C₅₃	C₂⁴	1	2	yes	—
939	C₄²×C₅₃	C₂⁴	1	2	yes	—
940	C₄²×C₅₃	C₂⁴	1	4	yes	—
941	C₄²×C₅₃	C₂⁴	1	4	yes	—
942	C₄²×C₅₃	C₂⁴	1	4	yes	—
943	C₄²×C₅₃	C₂⁴	1	4	yes	—
944	C₄²×C₅₃	C₂⁴	1	2	yes	—
945	C₄²×C₅₃	C₂⁴	1	2	yes	—
946	C₄²×C₅₃	C₂⁴	1	4	yes	—
947	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
948	C₄²×C₅₃	C₂⁴	1	2	yes	—
949	C₄²×C₅₃	C₂⁴	1	2	yes	—
950	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
951	C₄²×C₅₃	C₂⁴	1	4	yes	—
952	C₄²×C₅₃	C₂⁴	1	2	yes	—
953	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
954	C₄²×C₅₃	C₂⁴	1	4	yes	—
955	C₄²×C₅₃	C₂⁴	1	4	yes	—
956	C₄²×C₅₃	C₂⁴	1	4	yes	—
957	C₄²×C₅₃	C₂⁴	1	4	yes	—
958	C₄²×C₅₃	C₂⁴	1	4	yes	—
959	C₂³×C₅₃	—	4	2	no	—
960	C₂³×C₅₃	—	4	2	no	—
961	C₂³×C₅₃	—	4	2	no	—
962	C₂³×C₅₃	—	4	4	no	—
963	C₂³×C₅₃	—	4	4	no	—
964	C₂³×C₅₃	—	4	4	no	—
965	C₂³×C₅₃	C₂⁵	1	2	yes	—
966	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
967	C₂³×C₅₃	C₂⁵	1	2	yes	—
968	C₂³×C₅₃	C₂⁵	1	2	yes	—
969	C₂³×C₅₃	C₂⁵	1	4	yes	—
970	C₂³×C₅₃	C₂⁵	1	2	yes	—
971	C₂³×C₅₃	C₂⁵	1	2	yes	—
972	Q₈×C₅₃	—	2	2	no	—
973	Q₈×C₅₃	—	2	4	no	—
974	Q₈×C₅₃	—	4	4	no	—
975	Q₈×C₅₃	—	4	4	no	—
976	Q₈×C₅₃	—	4	1	no	—
977	Q₈×C₅₃	—	4	4	no	—
978	Q₈×C₅₃	—	4	4	no	—
979	Q₈×C₅₃	—	4	2	no	—
980	Q₈×C₅₃	—	4	4	no	—
981	Q₈×C₅₃	—	4	1	no	—
982	Q₈×C₅₃	—	4	1	no	—
983	Q₈×C₅₃	—	4	2	no	—
984	Q₈×C₅₃	—	4	1	no	—
985	Q₈×C₅₃	—	4	2	no	—
986	D₄×C₅₃	—	2	2	no	—
987	D₄×C₅₃	—	2	4	no	—
988	D₄×C₅₃	—	4	4	no	—
989	D₄×C₅₃	—	4	1	no	—
990	D₄×C₅₃	—	4	4	no	—
991	D₄×C₅₃	—	4	4	no	—
992	D₄×C₅₃	—	4	4	no	—
993	D₄×C₅₃	—	4	2	no	—
994	D₄×C₅₃	—	4	4	no	—
995	D₄×C₅₃	—	4	4	no	—
996	D₄×C₅₃	—	4	2	no	—
997	D₄×C₅₃	—	4	4	no	—
998	D₄×C₅₃	—	4	4	no	—
999	D₄×C₅₃	—	4	2	no	—
1000	D₄×C₅₃	—	4	2	no	—
1001	D₄×C₅₃	—	4	1	no	—
1002	D₄×C₅₃	—	4	2	no	—
1003	D₄×C₅₃	—	4	2	no	—
1004	D₄×C₅₃	—	4	2	no	—
1005	D₄×C₅₃	—	4	2	no	—
1006	D₄×C₅₃	—	4	2	no	—
1007	D₄×C₅₃	—	4	1	no	—
1008	D₄×C₅₃	—	4	1	no	—
1009	D₄×C₅₃	—	4	2	no	—
1010	D₄×C₅₃	—	4	2	no	—
1011	D₄×C₅₃	—	4	4	no	—
1012	D₄×C₅₃	—	4	4	no	—
1013	D₄×C₅₃	—	4	2	no	—
1014	D₄×C₅₃	—	4	2	no	—
1015	D₄×C₅₃	—	4	4	no	—
1016	D₄×C₅₃	—	4	4	no	—
1017	D₄×C₅₃	—	4	2	no	—
1018	D₄×C₅₃	—	4	2	no	—
1019	D₄×C₅₃	—	4	2	no	—
1020	C₂×C₄×C₅₃	—	2	4	no	—
1021	C₂×C₄×C₅₃	—	2	4	no	—
1022	C₂×C₄×C₅₃	—	2	4	no	—
1023	C₂×C₄×C₅₃	—	2	2	no	—
1024	C₂×C₄×C₅₃	—	2	4	no	—
1025	C₂×C₄×C₅₃	—	4	2	no	—
1026	C₂×C₄×C₅₃	—	4	2	no	—
1027	C₂×C₄×C₅₃	—	4	2	no	—
1028	C₂×C₄×C₅₃	—	4	4	no	—
1029	C₂×C₄×C₅₃	—	4	4	no	—
1030	C₂×C₄×C₅₃	—	4	2	no	—
1031	C₂×C₄×C₅₃	—	4	2	no	—
1032	C₂×C₄×C₅₃	—	4	4	no	—
1033	C₂×C₄×C₅₃	—	4	2	no	—
1034	C₂×C₄×C₅₃	—	4	1	no	—
1035	C₂×C₄×C₅₃	—	4	2	no	—
1036	C₂×C₄×C₅₃	—	4	4	no	—
1037	C₂×C₄×C₅₃	—	4	4	no	—
1038	C₂×C₄×C₅₃	—	4	2	no	—
1039	C₂×C₄×C₅₃	—	4	4	no	—
1040	C₂×C₄×C₅₃	—	4	4	no	—
1041	C₂×C₄×C₅₃	—	4	4	no	—
1042	C₂×C₄×C₅₃	—	4	4	no	—
1043	C₂×C₄×C₅₃	—	4	4	no	—
1044	C₂×C₄×C₅₃	—	4	2	no	—
1045	C₂×C₄×C₅₃	—	4	2	no	—
1046	C₂×C₄×C₅₃	—	4	4	no	—
1047	C₂×C₄×C₅₃	—	4	4	no	—
1048	C₂×C₄×C₅₃	—	4	1	no	—
1049	C₂×C₄×C₅₃	—	4	4	no	—
1050	C₂×C₄×C₅₃	—	4	4	no	—
1051	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1052	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1053	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1054	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1055	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1056	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1057	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1058	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1059	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1060	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1061	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1062	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1063	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1064	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1065	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1066	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1067	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1068	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1069	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1070	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1071	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1072	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1073	#63065	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
1074	C₂²×C₅₃	—	2	2	no	—
1075	C₂²×C₅₃	—	2	2	no	—
1076	C₂²×C₅₃	—	2	2	no	—
1077	C₂²×C₅₃	—	2	2	no	—
1078	C₂²×C₅₃	—	2	1	no	—
1079	C₂²×C₅₃	—	2	4	no	—
1080	C₂²×C₅₃	—	2	2	no	—
1081	C₂²×C₅₃	—	2	2	no	—
1082	C₂²×C₅₃	—	2	1	no	—
1083	C₂²×C₅₃	—	2	2	no	—
1084	C₂²×C₅₃	—	2	2	no	—
1085	C₂²×C₅₃	—	2	2	no	—
1086	C₂²×C₅₃	—	2	4	no	—
1087	C₂²×C₅₃	—	2	2	no	—
1088	C₂²×C₅₃	—	2	1	no	—
1089	C₂²×C₅₃	—	2	2	no	—
1090	C₂²×C₅₃	—	2	4	no	—
1091	C₂²×C₅₃	—	2	2	no	—
1092	C₂²×C₅₃	—	2	2	no	—
1093	C₂²×C₅₃	—	2	2	no	—
1094	C₂²×C₅₃	—	2	2	no	—
1095	C₂²×C₅₃	—	8	4	no	—
1096	C₂²×C₅₃	—	16	4	no	—
1097	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1098	C₄×C₅₃	—	2	2	no	—
1099	C₄×C₅₃	—	2	2	no	—
1100	C₄×C₅₃	—	2	2	no	—
1101	C₄×C₅₃	—	2	1	no	—
1102	C₄×C₅₃	—	2	2	no	—
1103	C₄×C₅₃	—	2	4	no	—
1104	C₄×C₅₃	—	2	2	no	—
1105	C₄×C₅₃	—	2	4	no	—
1106	C₄×C₅₃	—	2	1	no	—
1107	C₄×C₅₃	—	2	4	no	—
1108	C₄×C₅₃	—	2	1	no	—
1109	C₄×C₅₃	—	2	4	no	—
1110	C₄×C₅₃	—	2	2	no	—
1111	C₄×C₅₃	—	2	2	no	—
1112	C₄×C₅₃	—	2	2	no	—
1113	C₄×C₅₃	—	2	2	no	—
1114	C₄×C₅₃	—	2	2	no	—
1115	C₄×C₅₃	—	2	4	no	—
1116	C₄×C₅₃	—	2	1	no	—
1117	C₄×C₅₃	—	2	2	no	—
1118	C₄×C₅₃	—	2	1	no	—
1119	C₄×C₅₃	#585	1	2	yes	—
1120	#3567	C₂×C₅₃	1	2	yes	complemented
1121	#3566	C₂×C₅₃	1	4	yes	complemented
1122	#3564	C₂×C₅₃	1	4	yes	complemented
1123	#3563	C₂×C₅₃	1	1	yes	characteristic, complemented
1124	#3562	C₂×C₅₃	1	4	yes	complemented
1125	#3561	C₂×C₅₃	1	2	yes	complemented
1126	#3560	C₂×C₅₃	1	4	yes	complemented
1127	#3559	C₂×C₅₃	1	1	yes	characteristic, complemented
1128	#3552	C₂×C₅₃	1	2	yes	complemented
1129	#3551	C₂×C₅₃	1	2	yes	complemented
1130	#3551	C₂×C₅₃	1	4	yes	complemented
1131	#3548	C₂×C₅₃	1	1	yes	characteristic, complemented
1132	#3547	C₂×C₅₃	1	4	yes	complemented
1133	#3545	C₂×C₅₃	1	2	yes	complemented
1134	#3544	C₂×C₅₃	1	2	yes	complemented
1135	#3542	C₂×C₅₃	1	2	yes	complemented
1136	#3541	C₂×C₅₃	1	2	yes	complemented
1137	#3536	C₂×C₅₃	1	2	yes	complemented
1138	#3531	C₂×C₅₃	1	2	yes	complemented
1139	#3529	C₂×C₅₃	1	1	yes	characteristic, complemented
1140	#3524	C₂×C₅₃	1	2	yes	complemented
1141	#3521	C₂×C₅₃	1	2	yes	complemented
1142	#3518	C₂×C₅₃	1	1	yes	characteristic, complemented
1143	#3514	C₂×C₅₃	1	1	yes	characteristic, complemented
1144	#3512	C₂×C₅₃	1	1	yes	characteristic, complemented
1145	#3511	C₂×C₅₃	1	2	yes	complemented
1146	#3495	C₂×C₅₃	1	2	yes	complemented
1147	#3494	C₂×C₅₃	1	2	yes	complemented
1148	#3493	C₂×C₅₃	1	2	yes	complemented
1149	C₂×C₅₃	—	4	2	no	—
1150	C₂×C₅₃	—	4	1	no	—
1151	C₂×C₅₃	—	4	2	no	—
1152	C₂×C₅₃	—	4	2	no	—
1153	C₂×C₅₃	—	4	2	no	—
1154	C₂×C₅₃	—	4	4	no	—
1155	C₂×C₅₃	—	4	2	no	—
1156	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1157	C₂×C₅₃	H(7,𝔽₂)	1	1	yes	characteristic
1158	C₂×C₅₃	2₋¹⁺⁶	1	1	yes	characteristic
1159	#564	C₂²×C₅₃	1	2	yes	complemented
1160	#563	C₂²×C₅₃	1	2	yes	—
1161	#563	C₂²×C₅₃	1	1	yes	characteristic, complemented
1162	#563	C₂²×C₅₃	1	2	yes	complemented
1163	#563	C₂²×C₅₃	1	4	yes	complemented
1164	#563	C₂²×C₅₃	1	4	yes	complemented
1165	#563	C₂²×C₅₃	1	4	yes	complemented
1166	#563	C₂²×C₅₃	1	4	yes	complemented
1167	#563	C₂²×C₅₃	1	2	yes	complemented
1168	#563	C₂²×C₅₃	1	4	yes	complemented
1169	#563	C₂²×C₅₃	1	4	yes	complemented
1170	#562	C₂²×C₅₃	1	1	yes	characteristic
1171	#562	C₂²×C₅₃	1	2	yes	complemented
1172	#562	C₂²×C₅₃	1	2	yes	complemented
1173	#562	C₂²×C₅₃	1	1	yes	characteristic, complemented
1174	#562	C₂²×C₅₃	1	4	yes	complemented
1175	#562	C₂²×C₅₃	1	4	yes	complemented
1176	#562	C₂²×C₅₃	1	2	yes	complemented
1177	#562	C₂²×C₅₃	1	4	yes	complemented
1178	#562	C₂²×C₅₃	1	4	yes	complemented
1179	#562	C₂²×C₅₃	1	2	yes	complemented
1180	#562	C₂²×C₅₃	1	2	yes	complemented
1181	H(3,𝔽₄)	C₂²×C₅₃	1	1	yes	characteristic
1182	#560	C₂²×C₅₃	1	2	yes	—
1183	#560	C₂²×C₅₃	1	4	yes	—
1184	#560	C₂²×C₅₃	1	2	yes	complemented
1185	#560	C₂²×C₅₃	1	2	yes	complemented
1186	#560	C₂²×C₅₃	1	4	yes	complemented
1187	#559	C₂²×C₅₃	1	1	yes	characteristic, complemented
1188	#559	C₂²×C₅₃	1	4	yes	complemented
1189	Q₈²	C₂²×C₅₃	1	1	yes	characteristic, complemented
1190	#557	C₂²×C₅₃	1	2	yes	complemented
1191	#556	C₂²×C₅₃	1	1	yes	characteristic
1192	#556	C₂²×C₅₃	1	2	yes	complemented
1193	#556	C₂²×C₅₃	1	2	yes	complemented
1194	#556	C₂²×C₅₃	1	4	yes	complemented
1195	#556	C₂²×C₅₃	1	2	yes	complemented
1196	#556	C₂²×C₅₃	1	1	yes	characteristic, complemented
1197	#556	C₂²×C₅₃	1	4	yes	complemented
1198	#556	C₂²×C₅₃	1	2	yes	complemented
1199	#555	C₂²×C₅₃	1	2	yes	—
1200	#555	C₂²×C₅₃	1	1	yes	characteristic
1201	#555	C₂²×C₅₃	1	2	yes	complemented
1202	#555	C₂²×C₅₃	1	4	yes	complemented
1203	#555	C₂²×C₅₃	1	2	yes	complemented
1204	#555	C₂²×C₅₃	1	2	yes	complemented
1205	#555	C₂²×C₅₃	1	4	yes	complemented
1206	#555	C₂²×C₅₃	1	4	yes	complemented
1207	#554	C₂²×C₅₃	1	2	yes	complemented
1208	#554	C₂²×C₅₃	1	2	yes	complemented
1209	#554	C₂²×C₅₃	1	2	yes	complemented
1210	#554	C₂²×C₅₃	1	2	yes	complemented
1211	#554	C₂²×C₅₃	1	2	yes	complemented
1212	#554	C₂²×C₅₃	1	4	yes	complemented
1213	#554	C₂²×C₅₃	1	2	yes	complemented
1214	#553	C₂²×C₅₃	1	2	yes	complemented
1215	#553	C₂²×C₅₃	1	2	yes	complemented
1216	#553	C₂²×C₅₃	1	4	yes	complemented
1217	#553	C₂²×C₅₃	1	2	yes	complemented
1218	#553	C₂²×C₅₃	1	2	yes	complemented
1219	#553	C₂²×C₅₃	1	2	yes	complemented
1220	#553	C₂²×C₅₃	1	4	yes	complemented
1221	#553	C₂²×C₅₃	1	4	yes	complemented
1222	#553	C₂²×C₅₃	1	2	yes	complemented
1223	#553	C₂²×C₅₃	1	4	yes	complemented
1224	#553	C₂²×C₅₃	1	4	yes	complemented
1225	#553	C₂²×C₅₃	1	4	yes	complemented
1226	#553	C₂²×C₅₃	1	4	yes	complemented
1227	#553	C₂²×C₅₃	1	4	yes	complemented
1228	#552	C₂²×C₅₃	1	2	yes	—
1229	#552	C₂²×C₅₃	1	2	yes	complemented
1230	#552	C₂²×C₅₃	1	2	yes	complemented
1231	#552	C₂²×C₅₃	1	4	yes	complemented
1232	#552	C₂²×C₅₃	1	2	yes	complemented
1233	#552	C₂²×C₅₃	1	2	yes	complemented
1234	#552	C₂²×C₅₃	1	4	yes	complemented
1235	#552	C₂²×C₅₃	1	4	yes	complemented
1236	#552	C₂²×C₅₃	1	2	yes	complemented
1237	#552	C₂²×C₅₃	1	4	yes	complemented
1238	#552	C₂²×C₅₃	1	4	yes	complemented
1239	#552	C₂²×C₅₃	1	4	yes	complemented
1240	#552	C₂²×C₅₃	1	4	yes	complemented
1241	#551	C₂²×C₅₃	1	4	yes	—
1242	#551	C₂²×C₅₃	1	4	yes	complemented
1243	#551	C₂²×C₅₃	1	4	yes	complemented
1244	#551	C₂²×C₅₃	1	4	yes	complemented
1245	#551	C₂²×C₅₃	1	4	yes	complemented
1246	#551	C₂²×C₅₃	1	4	yes	complemented
1247	#551	C₂²×C₅₃	1	4	yes	complemented
1248	#551	C₂²×C₅₃	1	4	yes	complemented
1249	#551	C₂²×C₅₃	1	4	yes	complemented
1250	#550	C₂²×C₅₃	1	2	yes	complemented
1251	#550	C₂²×C₅₃	1	2	yes	complemented
1252	D₄×Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
1253	D₄×Q₈	C₂²×C₅₃	1	1	yes	characteristic, complemented
1254	D₄×Q₈	C₂²×C₅₃	1	4	yes	complemented
1255	#548	C₂²×C₅₃	1	4	yes	complemented
1256	#548	C₂²×C₅₃	1	4	yes	complemented
1257	#548	C₂²×C₅₃	1	2	yes	complemented
1258	#548	C₂²×C₅₃	1	2	yes	complemented
1259	#548	C₂²×C₅₃	1	2	yes	complemented
1260	#548	C₂²×C₅₃	1	2	yes	complemented
1261	#548	C₂²×C₅₃	1	4	yes	complemented
1262	#547	C₂²×C₅₃	1	2	yes	—
1263	#547	C₂²×C₅₃	1	2	yes	complemented
1264	#547	C₂²×C₅₃	1	2	yes	complemented
1265	#547	C₂²×C₅₃	1	2	yes	complemented
1266	#547	C₂²×C₅₃	1	2	yes	complemented
1267	#547	C₂²×C₅₃	1	4	yes	complemented
1268	#547	C₂²×C₅₃	1	4	yes	complemented
1269	#546	C₂²×C₅₃	1	2	yes	—
1270	#546	C₂²×C₅₃	1	2	yes	—
1271	#546	C₂²×C₅₃	1	4	yes	—
1272	#546	C₂²×C₅₃	1	4	yes	complemented
1273	#546	C₂²×C₅₃	1	4	yes	complemented
1274	#546	C₂²×C₅₃	1	2	yes	complemented
1275	#546	C₂²×C₅₃	1	2	yes	complemented
1276	#546	C₂²×C₅₃	1	4	yes	complemented
1277	#546	C₂²×C₅₃	1	4	yes	complemented
1278	D₄²	C₂²×C₅₃	1	1	yes	characteristic
1279	#544	C₂²×C₅₃	1	2	yes	complemented
1280	#544	C₂²×C₅₃	1	2	yes	complemented
1281	#544	C₂²×C₅₃	1	2	yes	complemented
1282	#544	C₂²×C₅₃	1	4	yes	complemented
1283	#544	C₂²×C₅₃	1	2	yes	complemented
1284	#543	C₂²×C₅₃	1	4	yes	complemented
1285	#542	C₂²×C₅₃	1	4	yes	—
1286	#542	C₂²×C₅₃	1	4	yes	complemented
1287	#542	C₂²×C₅₃	1	4	yes	complemented
1288	#542	C₂²×C₅₃	1	4	yes	complemented
1289	#542	C₂²×C₅₃	1	2	yes	complemented
1290	#542	C₂²×C₅₃	1	2	yes	complemented
1291	#542	C₂²×C₅₃	1	4	yes	complemented
1292	#542	C₂²×C₅₃	1	2	yes	complemented
1293	#542	C₂²×C₅₃	1	2	yes	complemented
1294	#542	C₂²×C₅₃	1	4	yes	complemented
1295	#542	C₂²×C₅₃	1	4	yes	complemented
1296	#542	C₂²×C₅₃	1	4	yes	complemented
1297	#541	C₂²×C₅₃	1	4	yes	complemented
1298	#541	C₂²×C₅₃	1	2	yes	complemented
1299	#541	C₂²×C₅₃	1	2	yes	complemented
1300	#541	C₂²×C₅₃	1	4	yes	complemented
1301	#541	C₂²×C₅₃	1	4	yes	complemented
1302	#540	C₂²×C₅₃	1	4	yes	complemented
1303	#540	C₂²×C₅₃	1	2	yes	complemented
1304	#540	C₂²×C₅₃	1	2	yes	complemented
1305	#540	C₂²×C₅₃	1	4	yes	complemented
1306	#540	C₂²×C₅₃	1	4	yes	complemented
1307	#540	C₂²×C₅₃	1	4	yes	complemented
1308	#540	C₂²×C₅₃	1	4	yes	complemented
1309	#540	C₂²×C₅₃	1	4	yes	complemented
1310	#539	C₂²×C₅₃	1	2	yes	—
1311	#539	C₂²×C₅₃	1	4	yes	complemented
1312	#539	C₂²×C₅₃	1	4	yes	complemented
1313	#539	C₂²×C₅₃	1	4	yes	complemented
1314	#539	C₂²×C₅₃	1	4	yes	complemented
1315	#539	C₂²×C₅₃	1	4	yes	complemented
1316	#539	C₂²×C₅₃	1	4	yes	complemented
1317	#539	C₂²×C₅₃	1	2	yes	complemented
1318	#538	C₂²×C₅₃	1	4	yes	—
1319	#538	C₂²×C₅₃	1	4	yes	complemented
1320	#538	C₂²×C₅₃	1	4	yes	complemented
1321	#538	C₂²×C₅₃	1	4	yes	complemented
1322	#538	C₂²×C₅₃	1	4	yes	complemented
1323	#538	C₂²×C₅₃	1	4	yes	complemented
1324	#538	C₂²×C₅₃	1	4	yes	complemented
1325	#538	C₂²×C₅₃	1	4	yes	complemented
1326	#538	C₂²×C₅₃	1	4	yes	complemented
1327	#538	C₂²×C₅₃	1	4	yes	complemented
1328	#537	C₂²×C₅₃	1	2	yes	—
1329	#537	C₂²×C₅₃	1	1	yes	characteristic
1330	#537	C₂²×C₅₃	1	2	yes	complemented
1331	#537	C₂²×C₅₃	1	2	yes	complemented
1332	#537	C₂²×C₅₃	1	1	yes	characteristic, complemented
1333	#537	C₂²×C₅₃	1	4	yes	complemented
1334	#537	C₂²×C₅₃	1	4	yes	complemented
1335	#537	C₂²×C₅₃	1	2	yes	complemented
1336	#536	C₂²×C₅₃	1	2	yes	complemented
1337	#536	C₂²×C₅₃	1	4	yes	complemented
1338	#536	C₂²×C₅₃	1	4	yes	complemented
1339	#536	C₂²×C₅₃	1	4	yes	complemented
1340	#535	C₂²×C₅₃	1	2	yes	—
1341	#535	C₂²×C₅₃	1	4	yes	complemented
1342	#534	C₂²×C₅₃	1	4	yes	—
1343	#533	C₂²×C₅₃	1	4	yes	complemented
1344	#533	C₂²×C₅₃	1	4	yes	complemented
1345	#533	C₂²×C₅₃	1	2	yes	complemented
1346	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
1347	#532	C₂²×C₅₃	1	4	yes	complemented
1348	#532	C₂²×C₅₃	1	2	yes	complemented
1349	#532	C₂²×C₅₃	1	4	yes	complemented
1350	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
1351	#532	C₂²×C₅₃	1	1	yes	characteristic, complemented
1352	C₂×C₄⋊Q₈	C₂²×C₅₃	1	2	yes	complemented
1353	#529	C₂²×C₅₃	1	1	yes	characteristic
1354	#529	C₂²×C₅₃	1	4	yes	complemented
1355	#529	C₂²×C₅₃	1	4	yes	complemented
1356	#529	C₂²×C₅₃	1	4	yes	complemented
1357	#529	C₂²×C₅₃	1	4	yes	complemented
1358	#529	C₂²×C₅₃	1	2	yes	complemented
1359	#529	C₂²×C₅₃	1	2	yes	complemented
1360	#529	C₂²×C₅₃	1	2	yes	complemented
1361	#529	C₂²×C₅₃	1	1	yes	characteristic, complemented
1362	#529	C₂²×C₅₃	1	2	yes	complemented
1363	#529	C₂²×C₅₃	1	2	yes	complemented
1364	#529	C₂²×C₅₃	1	4	yes	complemented
1365	#529	C₂²×C₅₃	1	2	yes	complemented
1366	#529	C₂²×C₅₃	1	2	yes	complemented
1367	#529	C₂²×C₅₃	1	4	yes	complemented
1368	#529	C₂²×C₅₃	1	2	yes	complemented
1369	#529	C₂²×C₅₃	1	4	yes	complemented
1370	C₂×#126	C₂²×C₅₃	1	4	yes	complemented
1371	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic, complemented
1372	C₂×#124	C₂²×C₅₃	1	2	yes	—
1373	#525	C₂²×C₅₃	1	2	yes	—
1374	#525	C₂²×C₅₃	1	2	yes	complemented
1375	#525	C₂²×C₅₃	1	2	yes	complemented
1376	#525	C₂²×C₅₃	1	2	yes	complemented
1377	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	2	yes	complemented
1378	C₂×#121	C₂²×C₅₃	1	2	yes	complemented
1379	#520	C₂²×C₅₃	1	1	yes	characteristic, complemented
1380	#520	C₂²×C₅₃	1	2	yes	complemented
1381	#520	C₂²×C₅₃	1	2	yes	complemented
1382	#520	C₂²×C₅₃	1	1	yes	characteristic, complemented
1383	#519	C₂²×C₅₃	1	2	yes	complemented
1384	#518	C₂²×C₅₃	1	2	yes	complemented
1385	C₄×#41	C₂²×C₅₃	1	2	yes	complemented
1386	C₄×#41	C₂²×C₅₃	1	1	yes	characteristic, complemented
1387	C₂×#117	C₂²×C₅₃	1	2	yes	complemented
1388	C₅₃	#63065	1	1	yes	characteristic, direct product factor, Sylow
1389	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1390	C₂×#41	C₂³×C₅₃	1	2	yes	—
1391	C₂×#41	C₂³×C₅₃	1	2	yes	—
1392	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1393	C₂×#41	C₂³×C₅₃	1	2	yes	—
1394	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1395	C₂×#41	C₂³×C₅₃	1	4	yes	—
1396	C₂×#41	C₂³×C₅₃	1	4	yes	—
1397	C₂×#41	C₂³×C₅₃	1	4	yes	—
1398	C₂×#41	C₂³×C₅₃	1	2	yes	—
1399	C₂×#41	C₂³×C₅₃	1	4	yes	—
1400	C₂²×Q₈	C₂³×C₅₃	1	2	yes	—
1401	C₂²×Q₈	C₂³×C₅₃	1	2	yes	—
1402	C₂²×Q₈	C₂³×C₅₃	1	4	yes	—
1403	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1404	C₂²×D₄	C₂³×C₅₃	1	4	yes	—
1405	C₂²×D₄	C₂³×C₅₃	1	2	yes	—
1406	C₂³×C₄	C₂³×C₅₃	1	2	yes	—
1407	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1408	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1409	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1410	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1411	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1412	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1413	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1414	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1415	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1416	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1417	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1418	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1419	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1420	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1421	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1422	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1423	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1424	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1425	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1426	#127	C₂³×C₅₃	1	2	yes	—
1427	#127	C₂³×C₅₃	1	4	yes	—
1428	#127	C₂³×C₅₃	1	1	yes	characteristic
1429	#127	C₂³×C₅₃	1	1	yes	characteristic
1430	#127	C₂³×C₅₃	1	4	yes	—
1431	#126	C₂³×C₅₃	1	2	yes	—
1432	#126	C₂³×C₅₃	1	4	yes	—
1433	#126	C₂³×C₅₃	1	4	yes	—
1434	#126	C₂³×C₅₃	1	4	yes	—
1435	#126	C₂³×C₅₃	1	4	yes	—
1436	#126	C₂³×C₅₃	1	4	yes	—
1437	#126	C₂³×C₅₃	1	4	yes	—
1438	#126	C₂³×C₅₃	1	4	yes	—
1439	#126	C₂³×C₅₃	1	2	yes	—
1440	#126	C₂³×C₅₃	1	2	yes	—
1441	#126	C₂³×C₅₃	1	2	yes	—
1442	#126	C₂³×C₅₃	1	4	yes	—
1443	#126	C₂³×C₅₃	1	2	yes	—
1444	#126	C₂³×C₅₃	1	4	yes	—
1445	#126	C₂³×C₅₃	1	4	yes	—
1446	#126	C₂³×C₅₃	1	4	yes	—
1447	#126	C₂³×C₅₃	1	4	yes	—
1448	#126	C₂³×C₅₃	1	4	yes	—
1449	#126	C₂³×C₅₃	1	4	yes	—
1450	#126	C₂³×C₅₃	1	4	yes	—
1451	#126	C₂³×C₅₃	1	2	yes	—
1452	#126	C₂³×C₅₃	1	4	yes	—
1453	#126	C₂³×C₅₃	1	4	yes	—
1454	#126	C₂³×C₅₃	1	4	yes	—
1455	#126	C₂³×C₅₃	1	4	yes	—
1456	#126	C₂³×C₅₃	1	4	yes	—
1457	#126	C₂³×C₅₃	1	4	yes	—
1458	#126	C₂³×C₅₃	1	4	yes	—
1459	#126	C₂³×C₅₃	1	4	yes	—
1460	#126	C₂³×C₅₃	1	4	yes	—
1461	#126	C₂³×C₅₃	1	4	yes	—
1462	#126	C₂³×C₅₃	1	4	yes	—
1463	#126	C₂³×C₅₃	1	4	yes	—
1464	#126	C₂³×C₅₃	1	4	yes	—
1465	#125	C₂³×C₅₃	1	2	yes	—
1466	#125	C₂³×C₅₃	1	2	yes	—
1467	#125	C₂³×C₅₃	1	2	yes	—
1468	#125	C₂³×C₅₃	1	2	yes	—
1469	#125	C₂³×C₅₃	1	1	yes	characteristic
1470	#125	C₂³×C₅₃	1	1	yes	characteristic
1471	#125	C₂³×C₅₃	1	2	yes	—
1472	#125	C₂³×C₅₃	1	4	yes	—
1473	#125	C₂³×C₅₃	1	4	yes	—
1474	#125	C₂³×C₅₃	1	4	yes	—
1475	#125	C₂³×C₅₃	1	4	yes	—
1476	#125	C₂³×C₅₃	1	4	yes	—
1477	#125	C₂³×C₅₃	1	4	yes	—
1478	#125	C₂³×C₅₃	1	4	yes	—
1479	#125	C₂³×C₅₃	1	2	yes	—
1480	#125	C₂³×C₅₃	1	2	yes	—
1481	#125	C₂³×C₅₃	1	2	yes	—
1482	#125	C₂³×C₅₃	1	2	yes	—
1483	#125	C₂³×C₅₃	1	4	yes	—
1484	#125	C₂³×C₅₃	1	4	yes	—
1485	#125	C₂³×C₅₃	1	4	yes	—
1486	#125	C₂³×C₅₃	1	4	yes	—
1487	#125	C₂³×C₅₃	1	4	yes	—
1488	#125	C₂³×C₅₃	1	4	yes	—
1489	#125	C₂³×C₅₃	1	4	yes	—
1490	#125	C₂³×C₅₃	1	4	yes	—
1491	#125	C₂³×C₅₃	1	4	yes	—
1492	#125	C₂³×C₅₃	1	4	yes	—
1493	#124	C₂³×C₅₃	1	1	yes	characteristic
1494	#124	C₂³×C₅₃	1	2	yes	—
1495	#124	C₂³×C₅₃	1	4	yes	—
1496	#124	C₂³×C₅₃	1	4	yes	—
1497	#124	C₂³×C₅₃	1	2	yes	—
1498	#124	C₂³×C₅₃	1	2	yes	—
1499	#124	C₂³×C₅₃	1	1	yes	characteristic
1500	#124	C₂³×C₅₃	1	1	yes	characteristic
1501	#124	C₂³×C₅₃	1	1	yes	characteristic
1502	#124	C₂³×C₅₃	1	4	yes	—
1503	#124	C₂³×C₅₃	1	4	yes	—
1504	#124	C₂³×C₅₃	1	2	yes	—
1505	#124	C₂³×C₅₃	1	4	yes	—
1506	#124	C₂³×C₅₃	1	4	yes	—
1507	#124	C₂³×C₅₃	1	4	yes	—
1508	#124	C₂³×C₅₃	1	4	yes	—
1509	#124	C₂³×C₅₃	1	2	yes	—
1510	#124	C₂³×C₅₃	1	2	yes	—
1511	#124	C₂³×C₅₃	1	4	yes	—
1512	#124	C₂³×C₅₃	1	2	yes	—
1513	#124	C₂³×C₅₃	1	4	yes	—
1514	#124	C₂³×C₅₃	1	4	yes	—
1515	#124	C₂³×C₅₃	1	4	yes	—
1516	#124	C₂³×C₅₃	1	4	yes	—
1517	#124	C₂³×C₅₃	1	2	yes	—
1518	#124	C₂³×C₅₃	1	2	yes	—
1519	#124	C₂³×C₅₃	1	4	yes	—
1520	#124	C₂³×C₅₃	1	4	yes	—
1521	#124	C₂³×C₅₃	1	4	yes	—
1522	#124	C₂³×C₅₃	1	4	yes	—
1523	#124	C₂³×C₅₃	1	4	yes	—
1524	#124	C₂³×C₅₃	1	4	yes	—
1525	#123	C₂³×C₅₃	1	2	yes	—
1526	#123	C₂³×C₅₃	1	2	yes	—
1527	#123	C₂³×C₅₃	1	4	yes	—
1528	#123	C₂³×C₅₃	1	2	yes	—
1529	#123	C₂³×C₅₃	1	2	yes	—
1530	#123	C₂³×C₅₃	1	2	yes	—
1531	#123	C₂³×C₅₃	1	2	yes	—
1532	#123	C₂³×C₅₃	1	2	yes	—
1533	#123	C₂³×C₅₃	1	4	yes	—
1534	#123	C₂³×C₅₃	1	4	yes	—
1535	#123	C₂³×C₅₃	1	4	yes	—
1536	#123	C₂³×C₅₃	1	2	yes	—
1537	#123	C₂³×C₅₃	1	2	yes	—
1538	#123	C₂³×C₅₃	1	4	yes	—
1539	#123	C₂³×C₅₃	1	4	yes	—
1540	#123	C₂³×C₅₃	1	4	yes	—
1541	#123	C₂³×C₅₃	1	4	yes	—
1542	#123	C₂³×C₅₃	1	4	yes	—
1543	#123	C₂³×C₅₃	1	4	yes	—
1544	#123	C₂³×C₅₃	1	4	yes	—
1545	#123	C₂³×C₅₃	1	2	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	2	yes	—
1554	#123	C₂³×C₅₃	1	4	yes	—
1555	#123	C₂³×C₅₃	1	4	yes	—
1556	#123	C₂³×C₅₃	1	4	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	4	yes	—
1562	#123	C₂³×C₅₃	1	4	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	4	yes	—
1567	#123	C₂³×C₅₃	1	4	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	4	yes	—
1572	#123	C₂³×C₅₃	1	4	yes	—
1573	#123	C₂³×C₅₃	1	4	yes	—
1574	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1575	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1576	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1577	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1578	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1579	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1580	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1581	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1582	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1583	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1584	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1585	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1586	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1587	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1588	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1589	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1590	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1591	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1592	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1593	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1594	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1595	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1596	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1597	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1598	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1599	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1600	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1601	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1602	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1603	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1604	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1605	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1606	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1607	C₂²⋊Q₈	C₂³×C₅₃	1	2	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	4	yes	—
1612	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1613	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1614	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1615	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1616	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1617	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1618	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1619	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1620	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1621	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1622	C₂²⋊Q₈	C₂³×C₅₃	1	4	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	#121	C₂³×C₅₃	1	4	yes	—
1634	#121	C₂³×C₅₃	1	2	yes	—
1635	#121	C₂³×C₅₃	1	2	yes	—
1636	#121	C₂³×C₅₃	1	2	yes	—
1637	#121	C₂³×C₅₃	1	4	yes	—
1638	#121	C₂³×C₅₃	1	2	yes	—
1639	#121	C₂³×C₅₃	1	2	yes	—
1640	#121	C₂³×C₅₃	1	2	yes	—
1641	#121	C₂³×C₅₃	1	2	yes	—
1642	#121	C₂³×C₅₃	1	2	yes	—
1643	#121	C₂³×C₅₃	1	2	yes	—
1644	#121	C₂³×C₅₃	1	2	yes	—
1645	#121	C₂³×C₅₃	1	2	yes	—
1646	#121	C₂³×C₅₃	1	2	yes	—
1647	#121	C₂³×C₅₃	1	1	yes	characteristic
1648	#121	C₂³×C₅₃	1	4	yes	—
1649	#121	C₂³×C₅₃	1	2	yes	—
1650	#121	C₂³×C₅₃	1	2	yes	—
1651	#121	C₂³×C₅₃	1	4	yes	—
1652	#121	C₂³×C₅₃	1	4	yes	—
1653	#121	C₂³×C₅₃	1	2	yes	—
1654	#121	C₂³×C₅₃	1	4	yes	—
1655	#121	C₂³×C₅₃	1	1	yes	characteristic
1656	#121	C₂³×C₅₃	1	2	yes	—
1657	#121	C₂³×C₅₃	1	4	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	4	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	2	yes	—
1667	#121	C₂³×C₅₃	1	4	yes	—
1668	#121	C₂³×C₅₃	1	2	yes	—
1669	#121	C₂³×C₅₃	1	2	yes	—
1670	#121	C₂³×C₅₃	1	4	yes	—
1671	#121	C₂³×C₅₃	1	4	yes	—
1672	#121	C₂³×C₅₃	1	4	yes	—
1673	#121	C₂³×C₅₃	1	2	yes	—
1674	#121	C₂³×C₅₃	1	2	yes	—
1675	#121	C₂³×C₅₃	1	2	yes	—
1676	#121	C₂³×C₅₃	1	4	yes	—
1677	#121	C₂³×C₅₃	1	4	yes	—
1678	#121	C₂³×C₅₃	1	4	yes	—
1679	#121	C₂³×C₅₃	1	4	yes	—
1680	#121	C₂³×C₅₃	1	4	yes	—
1681	#121	C₂³×C₅₃	1	4	yes	—
1682	#121	C₂³×C₅₃	1	4	yes	—
1683	#121	C₂³×C₅₃	1	4	yes	—
1684	#121	C₂³×C₅₃	1	4	yes	—
1685	#121	C₂³×C₅₃	1	4	yes	—
1686	#121	C₂³×C₅₃	1	4	yes	—
1687	#121	C₂³×C₅₃	1	4	yes	—
1688	#121	C₂³×C₅₃	1	4	yes	—
1689	#121	C₂³×C₅₃	1	4	yes	—
1690	#121	C₂³×C₅₃	1	4	yes	—
1691	#121	C₂³×C₅₃	1	4	yes	—
1692	#121	C₂³×C₅₃	1	4	yes	—
1693	#121	C₂³×C₅₃	1	4	yes	—
1694	#121	C₂³×C₅₃	1	4	yes	—
1695	#121	C₂³×C₅₃	1	4	yes	—
1696	#120	C₂³×C₅₃	1	2	yes	—
1697	#120	C₂³×C₅₃	1	2	yes	—
1698	#120	C₂³×C₅₃	1	4	yes	—
1699	#120	C₂³×C₅₃	1	2	yes	—
1700	#120	C₂³×C₅₃	1	2	yes	—
1701	#120	C₂³×C₅₃	1	2	yes	—
1702	#120	C₂³×C₅₃	1	2	yes	—
1703	#120	C₂³×C₅₃	1	4	yes	—
1704	#120	C₂³×C₅₃	1	4	yes	—
1705	#120	C₂³×C₅₃	1	4	yes	—
1706	#120	C₂³×C₅₃	1	4	yes	—
1707	#120	C₂³×C₅₃	1	4	yes	—
1708	#120	C₂³×C₅₃	1	4	yes	—
1709	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1710	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1711	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1712	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1713	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1714	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1715	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1716	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1717	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1718	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1719	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1720	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1721	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1722	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1723	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1724	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1725	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1726	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1727	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1728	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1729	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1730	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1731	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1732	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1733	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1734	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1735	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1736	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1737	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1738	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1739	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1740	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1741	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1742	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1743	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1744	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1745	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1746	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1747	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1748	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1749	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1750	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1751	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1752	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1753	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1754	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1755	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1756	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1757	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1758	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1759	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1760	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1761	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1762	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1763	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1764	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1765	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1766	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1767	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1768	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1769	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1770	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1771	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1772	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1773	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1774	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1775	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1776	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1777	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1778	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1779	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1780	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1781	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1782	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1783	#117	C₂³×C₅₃	1	2	yes	—
1784	#117	C₂³×C₅₃	1	2	yes	—
1785	#117	C₂³×C₅₃	1	2	yes	—
1786	#117	C₂³×C₅₃	1	2	yes	—
1787	#117	C₂³×C₅₃	1	4	yes	—
1788	#117	C₂³×C₅₃	1	4	yes	—
1789	#117	C₂³×C₅₃	1	2	yes	—
1790	#117	C₂³×C₅₃	1	1	yes	characteristic
1791	#117	C₂³×C₅₃	1	2	yes	—
1792	#117	C₂³×C₅₃	1	4	yes	—
1793	#117	C₂³×C₅₃	1	2	yes	—
1794	#117	C₂³×C₅₃	1	2	yes	—
1795	#117	C₂³×C₅₃	1	4	yes	—
1796	#117	C₂³×C₅₃	1	4	yes	—
1797	#117	C₂³×C₅₃	1	2	yes	—
1798	#117	C₂³×C₅₃	1	2	yes	—
1799	#117	C₂³×C₅₃	1	4	yes	—
1800	#117	C₂³×C₅₃	1	4	yes	—
1801	#117	C₂³×C₅₃	1	2	yes	—
1802	#117	C₂³×C₅₃	1	2	yes	—
1803	#117	C₂³×C₅₃	1	4	yes	—
1804	#117	C₂³×C₅₃	1	4	yes	—
1805	#117	C₂³×C₅₃	1	4	yes	—
1806	#117	C₂³×C₅₃	1	4	yes	—
1807	#117	C₂³×C₅₃	1	4	yes	—
1808	#117	C₂³×C₅₃	1	4	yes	—
1809	#117	C₂³×C₅₃	1	4	yes	—
1810	#117	C₂³×C₅₃	1	4	yes	—
1811	#117	C₂³×C₅₃	1	4	yes	—
1812	#117	C₂³×C₅₃	1	4	yes	—
1813	#117	C₂³×C₅₃	1	2	yes	—
1814	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1815	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1816	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1817	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1818	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1819	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1820	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1821	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1822	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1823	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1824	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1825	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1826	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1827	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1828	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1829	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1830	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1831	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1832	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1833	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1834	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1835	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1836	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1837	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1838	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1839	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1840	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1841	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1842	C₂⁴	C₂⁴×C₅₃	1	4	yes	—
1843	C₂⁴	C₂⁴×C₅₃	1	2	yes	—
1844	#41	—	4	4	no	—
1845	#41	—	4	2	no	—
1846	#41	—	4	2	no	—
1847	#41	—	4	4	no	—
1848	#41	—	4	2	no	—
1849	#41	—	4	4	no	—
1850	#41	—	8	4	no	—
1851	#41	—	8	4	no	—
1852	#41	—	8	4	no	—
1853	#41	—	8	2	no	—
1854	#41	—	8	4	no	—
1855	C₂×Q₈	—	4	4	no	—
1856	C₂×Q₈	—	8	2	no	—
1857	C₂×Q₈	—	8	4	no	—
1858	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1859	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1860	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1861	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1862	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1863	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1864	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1865	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1866	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1867	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1868	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1869	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1870	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1871	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1872	C₂×D₄	—	4	4	no	—
1873	C₂×D₄	—	8	2	no	—
1874	C₂×D₄	—	8	4	no	—
1875	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1876	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1877	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1878	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1879	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1880	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1881	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1882	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1883	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1884	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1885	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1886	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1887	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1888	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1889	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1890	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1891	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1892	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1893	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1894	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1895	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1896	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1897	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1898	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1899	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1900	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1901	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1902	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1903	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1904	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1905	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1906	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1907	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1908	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1909	C₂²×C₄	—	4	4	no	—
1910	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1911	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1912	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1913	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1914	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1915	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1916	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1917	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1918	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1919	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1920	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1921	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1922	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1923	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1924	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1925	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1926	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1927	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1928	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1929	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1930	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1931	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1932	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1933	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1934	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1935	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1936	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1937	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1938	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1939	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1940	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1941	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1942	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1943	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1944	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1945	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1946	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1947	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1948	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1949	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1950	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1951	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1952	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1953	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1954	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1955	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1956	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1957	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1958	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1959	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1960	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1961	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1962	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1963	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1964	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1965	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1966	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1967	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1968	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1969	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1970	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1971	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1972	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1973	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1974	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1975	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1976	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1977	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1978	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1979	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1980	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1981	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1982	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1983	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1984	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1985	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1986	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1987	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1988	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1989	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1990	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1991	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1992	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1993	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1994	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1995	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1996	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1997	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1998	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1999	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2000	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2001	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
2002	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2003	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2004	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2005	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2006	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2007	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2008	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2009	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2010	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2011	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2012	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2013	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2014	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2015	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2016	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2017	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2018	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2019	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2020	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2021	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2022	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2023	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2024	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2025	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2026	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2027	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2028	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2029	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2030	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2031	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2032	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2033	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2034	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2035	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2036	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2037	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2038	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2039	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2040	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2041	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2042	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2043	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2044	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2045	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2046	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2047	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2048	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2049	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2050	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2051	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2052	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2053	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2054	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2055	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2056	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2057	C₂²⋊C₄	C₂⁴×C₅₃	1	2	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	2	yes	—
2064	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2065	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2066	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2067	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2068	C₄²	C₂⁴×C₅₃	1	2	yes	—
2069	C₄²	C₂⁴×C₅₃	1	2	yes	—
2070	C₄²	C₂⁴×C₅₃	1	4	yes	—
2071	C₄²	C₂⁴×C₅₃	1	4	yes	—
2072	C₄²	C₂⁴×C₅₃	1	4	yes	—
2073	C₄²	C₂⁴×C₅₃	1	4	yes	—
2074	C₄²	C₂⁴×C₅₃	1	2	yes	—
2075	C₄²	C₂⁴×C₅₃	1	2	yes	—
2076	C₄²	C₂⁴×C₅₃	1	4	yes	—
2077	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2078	C₄²	C₂⁴×C₅₃	1	2	yes	—
2079	C₄²	C₂⁴×C₅₃	1	2	yes	—
2080	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2081	C₄²	C₂⁴×C₅₃	1	4	yes	—
2082	C₄²	C₂⁴×C₅₃	1	2	yes	—
2083	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2084	C₄²	C₂⁴×C₅₃	1	4	yes	—
2085	C₄²	C₂⁴×C₅₃	1	4	yes	—
2086	C₄²	C₂⁴×C₅₃	1	4	yes	—
2087	C₄²	C₂⁴×C₅₃	1	4	yes	—
2088	C₄²	C₂⁴×C₅₃	1	4	yes	—
2089	C₂³	—	4	2	no	—
2090	C₂³	—	4	2	no	—
2091	C₂³	—	4	2	no	—
2092	C₂³	—	4	4	no	—
2093	C₂³	—	4	4	no	—
2094	C₂³	—	4	4	no	—
2095	C₂³	C₂⁵×C₅₃	1	2	yes	—
2096	C₂³	C₂⁵×C₅₃	1	2	yes	—
2097	C₂³	C₂⁵×C₅₃	1	2	yes	—
2098	C₂³	C₂⁵×C₅₃	1	2	yes	—
2099	C₂³	C₂⁵×C₅₃	1	4	yes	—
2100	C₂³	C₂⁵×C₅₃	1	2	yes	—
2101	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
2102	Q₈	—	2	2	no	—
2103	Q₈	—	2	4	no	—
2104	Q₈	—	4	4	no	—
2105	Q₈	—	4	4	no	—
2106	Q₈	—	4	1	no	—
2107	Q₈	—	4	4	no	—
2108	Q₈	—	4	4	no	—
2109	Q₈	—	4	2	no	—
2110	Q₈	—	4	4	no	—
2111	Q₈	—	4	1	no	—
2112	Q₈	—	4	1	no	—
2113	Q₈	—	4	2	no	—
2114	Q₈	—	4	1	no	—
2115	Q₈	—	4	2	no	—
2116	D₄	—	2	2	no	—
2117	D₄	—	2	4	no	—
2118	D₄	—	4	4	no	—
2119	D₄	—	4	1	no	—
2120	D₄	—	4	4	no	—
2121	D₄	—	4	4	no	—
2122	D₄	—	4	4	no	—
2123	D₄	—	4	2	no	—
2124	D₄	—	4	4	no	—
2125	D₄	—	4	4	no	—
2126	D₄	—	4	2	no	—
2127	D₄	—	4	4	no	—
2128	D₄	—	4	4	no	—
2129	D₄	—	4	2	no	—
2130	D₄	—	4	2	no	—
2131	D₄	—	4	1	no	—
2132	D₄	—	4	2	no	—
2133	D₄	—	4	2	no	—
2134	D₄	—	4	2	no	—
2135	D₄	—	4	2	no	—
2136	D₄	—	4	2	no	—
2137	D₄	—	4	1	no	—
2138	D₄	—	4	1	no	—
2139	D₄	—	4	2	no	—
2140	D₄	—	4	2	no	—
2141	D₄	—	4	4	no	—
2142	D₄	—	4	4	no	—
2143	D₄	—	4	2	no	—
2144	D₄	—	4	2	no	—
2145	D₄	—	4	4	no	—
2146	D₄	—	4	4	no	—
2147	D₄	—	4	2	no	—
2148	D₄	—	4	2	no	—
2149	D₄	—	4	2	no	—
2150	C₂×C₄	—	2	4	no	—
2151	C₂×C₄	—	2	4	no	—
2152	C₂×C₄	—	2	4	no	—
2153	C₂×C₄	—	2	2	no	—
2154	C₂×C₄	—	2	4	no	—
2155	C₂×C₄	—	4	2	no	—
2156	C₂×C₄	—	4	2	no	—
2157	C₂×C₄	—	4	2	no	—
2158	C₂×C₄	—	4	4	no	—
2159	C₂×C₄	—	4	4	no	—
2160	C₂×C₄	—	4	2	no	—
2161	C₂×C₄	—	4	2	no	—
2162	C₂×C₄	—	4	4	no	—
2163	C₂×C₄	—	4	2	no	—
2164	C₂×C₄	—	4	1	no	—
2165	C₂×C₄	—	4	2	no	—
2166	C₂×C₄	—	4	4	no	—
2167	C₂×C₄	—	4	4	no	—
2168	C₂×C₄	—	4	2	no	—
2169	C₂×C₄	—	4	4	no	—
2170	C₂×C₄	—	4	4	no	—
2171	C₂×C₄	—	4	4	no	—
2172	C₂×C₄	—	4	4	no	—
2173	C₂×C₄	—	4	4	no	—
2174	C₂×C₄	—	4	2	no	—
2175	C₂×C₄	—	4	2	no	—
2176	C₂×C₄	—	4	4	no	—
2177	C₂×C₄	—	4	4	no	—
2178	C₂×C₄	—	4	1	no	—
2179	C₂×C₄	—	4	4	no	—
2180	C₂×C₄	—	4	4	no	—
2181	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2182	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2183	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2184	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2185	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2186	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2187	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2188	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2189	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2190	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2191	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2192	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2193	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2194	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2195	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2196	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2197	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2198	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2199	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2200	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2201	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2202	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2203	C₂²	—	2	2	no	—
2204	C₂²	—	2	2	no	—
2205	C₂²	—	2	2	no	—
2206	C₂²	—	2	2	no	—
2207	C₂²	—	2	1	no	—
2208	C₂²	—	2	4	no	—
2209	C₂²	—	2	2	no	—
2210	C₂²	—	2	2	no	—
2211	C₂²	—	2	1	no	—
2212	C₂²	—	2	2	no	—
2213	C₂²	—	2	2	no	—
2214	C₂²	—	2	2	no	—
2215	C₂²	—	2	4	no	—
2216	C₂²	—	2	2	no	—
2217	C₂²	—	2	1	no	—
2218	C₂²	—	2	2	no	—
2219	C₂²	—	2	4	no	—
2220	C₂²	—	2	2	no	—
2221	C₂²	—	2	2	no	—
2222	C₂²	—	2	2	no	—
2223	C₂²	—	2	2	no	—
2224	C₂²	—	8	4	no	—
2225	C₂²	—	16	4	no	—
2226	C₂²	C₂⁶×C₅₃	1	1	yes	characteristic
2227	C₄	—	2	2	no	—
2228	C₄	—	2	2	no	—
2229	C₄	—	2	2	no	—
2230	C₄	—	2	1	no	—
2231	C₄	—	2	2	no	—
2232	C₄	—	2	4	no	—
2233	C₄	—	2	2	no	—
2234	C₄	—	2	4	no	—
2235	C₄	—	2	1	no	—
2236	C₄	—	2	4	no	—
2237	C₄	—	2	1	no	—
2238	C₄	—	2	4	no	—
2239	C₄	—	2	2	no	—
2240	C₄	—	2	2	no	—
2241	C₄	—	2	2	no	—
2242	C₄	—	2	2	no	—
2243	C₄	—	2	2	no	—
2244	C₄	—	2	4	no	—
2245	C₄	—	2	1	no	—
2246	C₄	—	2	2	no	—
2247	C₄	—	2	1	no	—
2248	C₄	C₅₃×#585	1	2	yes	—
2249	C₂	—	4	2	no	—
2250	C₂	—	4	2	no	—
2251	C₂	—	4	2	no	—
2252	C₂	—	4	2	no	—
2253	C₂	—	4	4	no	—
2254	C₂	—	4	2	no	—
2255	C₂	—	4	1	no	—
2256	C₂	C₂×C₅₃×#585	1	1	yes	characteristic
2257	C₂	C₅₃×H(7,𝔽₂)	1	1	yes	characteristic
2258	C₂	C₅₃×2₋¹⁺⁶	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×#3567	C₂	semidirect
2. C₅₃×#3566	C₂	semidirect
3. C₅₃×#3564	C₂	semidirect
4. C₅₃×#3563	C₂	semidirect
5. C₅₃×#3562	C₂	semidirect
6. C₅₃×#3561	C₂	semidirect
7. C₅₃×#3560	C₂	semidirect
8. C₅₃×#3559	C₂	semidirect
9. C₅₃×#3552	C₂	semidirect
10. C₅₃×#3551	C₂	semidirect
11. C₅₃×#3551	C₂	semidirect
12. C₅₃×#3548	C₂	semidirect
13. C₅₃×#3547	C₂	semidirect
14. C₅₃×#3545	C₂	semidirect
15. C₅₃×#3544	C₂	semidirect
16. C₅₃×#3542	C₂	semidirect
17. C₅₃×#3541	C₂	semidirect
18. C₅₃×#3536	C₂	semidirect
19. C₅₃×#3531	C₂	semidirect
20. C₅₃×#3529	C₂	semidirect
21. C₅₃×#3524	C₂	semidirect
22. C₅₃×#3521	C₂	semidirect
23. C₅₃×#3518	C₂	semidirect
24. C₅₃×#3514	C₂	semidirect
25. C₅₃×#3512	C₂	semidirect
26. C₅₃×#3511	C₂	semidirect
27. C₅₃×#3495	C₂	semidirect
28. C₅₃×#3494	C₂	semidirect
29. C₅₃×#3493	C₂	semidirect
30. C₅₃×#564	C₂²	semidirect
32. C₅₃×#563	C₂²	semidirect
33. C₅₃×#563	C₂²	semidirect
34. C₅₃×#563	C₂²	semidirect
35. C₅₃×#563	C₂²	semidirect
36. C₅₃×#563	C₂²	semidirect
37. C₅₃×#563	C₂²	semidirect
38. C₅₃×#563	C₂²	semidirect
39. C₅₃×#563	C₂²	semidirect
40. C₅₃×#563	C₂²	semidirect
42. C₅₃×#562	C₂²	semidirect
43. C₅₃×#562	C₂²	semidirect
44. C₅₃×#562	C₂²	semidirect
45. C₅₃×#562	C₂²	semidirect
46. C₅₃×#562	C₂²	semidirect
47. C₅₃×#562	C₂²	semidirect
48. C₅₃×#562	C₂²	semidirect
49. C₅₃×#562	C₂²	semidirect
50. C₅₃×#562	C₂²	semidirect
51. C₅₃×#562	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. Q₈²×C₅₃	C₂²	semidirect
61. C₅₃×#557	C₂²	semidirect
63. C₅₃×#556	C₂²	semidirect
64. C₅₃×#556	C₂²	semidirect
65. C₅₃×#556	C₂²	semidirect
66. C₅₃×#556	C₂²	semidirect
67. C₅₃×#556	C₂²	semidirect
68. C₅₃×#556	C₂²	semidirect
69. C₅₃×#556	C₂²	semidirect
72. C₅₃×#555	C₂²	semidirect
73. C₅₃×#555	C₂²	semidirect
74. C₅₃×#555	C₂²	semidirect
75. C₅₃×#555	C₂²	semidirect
76. C₅₃×#555	C₂²	semidirect
77. C₅₃×#555	C₂²	semidirect
78. C₅₃×#554	C₂²	semidirect
79. C₅₃×#554	C₂²	semidirect
80. C₅₃×#554	C₂²	semidirect
81. C₅₃×#554	C₂²	semidirect
82. C₅₃×#554	C₂²	semidirect
83. C₅₃×#554	C₂²	semidirect
84. C₅₃×#554	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×#553	C₂²	semidirect
96. C₅₃×#553	C₂²	semidirect
97. C₅₃×#553	C₂²	semidirect
98. C₅₃×#553	C₂²	semidirect
100. C₅₃×#552	C₂²	semidirect
101. C₅₃×#552	C₂²	semidirect
102. C₅₃×#552	C₂²	semidirect
103. C₅₃×#552	C₂²	semidirect
104. C₅₃×#552	C₂²	semidirect
105. C₅₃×#552	C₂²	semidirect
106. C₅₃×#552	C₂²	semidirect
107. C₅₃×#552	C₂²	semidirect
108. C₅₃×#552	C₂²	semidirect
109. C₅₃×#552	C₂²	semidirect
110. C₅₃×#552	C₂²	semidirect
111. C₅₃×#552	C₂²	semidirect
113. C₅₃×#551	C₂²	semidirect
114. C₅₃×#551	C₂²	semidirect
115. C₅₃×#551	C₂²	semidirect
116. C₅₃×#551	C₂²	semidirect
117. C₅₃×#551	C₂²	semidirect
118. C₅₃×#551	C₂²	semidirect
119. C₅₃×#551	C₂²	semidirect
120. C₅₃×#551	C₂²	semidirect
121. C₅₃×#550	C₂²	semidirect
122. C₅₃×#550	C₂²	semidirect
123. D₄×Q₈×C₅₃	C₂²	semidirect
124. D₄×Q₈×C₅₃	C₂²	semidirect
125. D₄×Q₈×C₅₃	C₂²	semidirect
126. C₅₃×#548	C₂²	semidirect
127. C₅₃×#548	C₂²	semidirect
128. C₅₃×#548	C₂²	semidirect
129. C₅₃×#548	C₂²	semidirect
130. C₅₃×#548	C₂²	semidirect
131. C₅₃×#548	C₂²	semidirect
132. C₅₃×#548	C₂²	semidirect
134. C₅₃×#547	C₂²	semidirect
135. C₅₃×#547	C₂²	semidirect
136. C₅₃×#547	C₂²	semidirect
137. C₅₃×#547	C₂²	semidirect
138. C₅₃×#547	C₂²	semidirect
139. C₅₃×#547	C₂²	semidirect
143. C₅₃×#546	C₂²	semidirect
144. C₅₃×#546	C₂²	semidirect
145. C₅₃×#546	C₂²	semidirect
146. C₅₃×#546	C₂²	semidirect
147. C₅₃×#546	C₂²	semidirect
148. C₅₃×#546	C₂²	semidirect
150. C₅₃×#544	C₂²	semidirect
151. C₅₃×#544	C₂²	semidirect
152. C₅₃×#544	C₂²	semidirect
153. C₅₃×#544	C₂²	semidirect
154. C₅₃×#544	C₂²	semidirect
155. C₅₃×#543	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×#542	C₂²	semidirect
163. C₅₃×#542	C₂²	semidirect
164. C₅₃×#542	C₂²	semidirect
165. C₅₃×#542	C₂²	semidirect
166. C₅₃×#542	C₂²	semidirect
167. C₅₃×#542	C₂²	semidirect
168. C₅₃×#541	C₂²	semidirect
169. C₅₃×#541	C₂²	semidirect
170. C₅₃×#541	C₂²	semidirect
171. C₅₃×#541	C₂²	semidirect
172. C₅₃×#541	C₂²	semidirect
173. C₅₃×#540	C₂²	semidirect
174. C₅₃×#540	C₂²	semidirect
175. C₅₃×#540	C₂²	semidirect
176. C₅₃×#540	C₂²	semidirect
177. C₅₃×#540	C₂²	semidirect
178. C₅₃×#540	C₂²	semidirect
179. C₅₃×#540	C₂²	semidirect
180. C₅₃×#540	C₂²	semidirect
182. C₅₃×#539	C₂²	semidirect
183. C₅₃×#539	C₂²	semidirect
184. C₅₃×#539	C₂²	semidirect
185. C₅₃×#539	C₂²	semidirect
186. C₅₃×#539	C₂²	semidirect
187. C₅₃×#539	C₂²	semidirect
188. C₅₃×#539	C₂²	semidirect
190. C₅₃×#538	C₂²	semidirect
191. C₅₃×#538	C₂²	semidirect
192. C₅₃×#538	C₂²	semidirect
193. C₅₃×#538	C₂²	semidirect
194. C₅₃×#538	C₂²	semidirect
195. C₅₃×#538	C₂²	semidirect
196. C₅₃×#538	C₂²	semidirect
197. C₅₃×#538	C₂²	semidirect
198. C₅₃×#538	C₂²	semidirect
201. C₅₃×#537	C₂²	semidirect
202. C₅₃×#537	C₂²	semidirect
203. C₅₃×#537	C₂²	semidirect
204. C₅₃×#537	C₂²	semidirect
205. C₅₃×#537	C₂²	semidirect
206. C₅₃×#537	C₂²	semidirect
207. C₅₃×#536	C₂²	semidirect
208. C₅₃×#536	C₂²	semidirect
209. C₅₃×#536	C₂²	semidirect
210. C₅₃×#536	C₂²	semidirect
212. C₅₃×#535	C₂²	semidirect
214. C₅₃×#533	C₂²	semidirect
215. C₅₃×#533	C₂²	semidirect
216. C₅₃×#533	C₂²	semidirect
217. C₅₃×#533	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. C₂×C₄⋊Q₈×C₅₃	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. C₅₃×#529	C₂²	semidirect
237. C₅₃×#529	C₂²	semidirect
238. C₅₃×#529	C₂²	semidirect
239. C₅₃×#529	C₂²	semidirect
240. C₅₃×#529	C₂²	semidirect
241. C₂×#126×C₅₃	C₂²	semidirect
242. C₂×#125×C₅₃	C₂²	semidirect
245. C₅₃×#525	C₂²	semidirect
246. C₅₃×#525	C₂²	semidirect
247. C₅₃×#525	C₂²	semidirect
248. C₂×C₂²⋊Q₈×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×#519	C₂²	semidirect
255. C₅₃×#518	C₂²	semidirect
256. C₄×#41×C₅₃	C₂²	semidirect
257. C₄×#41×C₅₃	C₂²	semidirect
258. C₂×#117×C₅₃	C₂²	semidirect
1073. #63065	C₅₃	direct (N × H)
1120. #3567	C₂×C₅₃	semidirect
1121. #3566	C₂×C₅₃	semidirect
1122. #3564	C₂×C₅₃	semidirect
1123. #3563	C₂×C₅₃	semidirect
1124. #3562	C₂×C₅₃	semidirect
1125. #3561	C₂×C₅₃	semidirect
1126. #3560	C₂×C₅₃	semidirect
1127. #3559	C₂×C₅₃	semidirect
1128. #3552	C₂×C₅₃	semidirect
1129. #3551	C₂×C₅₃	semidirect
1130. #3551	C₂×C₅₃	semidirect
1131. #3548	C₂×C₅₃	semidirect
1132. #3547	C₂×C₅₃	semidirect
1133. #3545	C₂×C₅₃	semidirect
1134. #3544	C₂×C₅₃	semidirect
1135. #3542	C₂×C₅₃	semidirect
1136. #3541	C₂×C₅₃	semidirect
1137. #3536	C₂×C₅₃	semidirect
1138. #3531	C₂×C₅₃	semidirect
1139. #3529	C₂×C₅₃	semidirect
1140. #3524	C₂×C₅₃	semidirect
1141. #3521	C₂×C₅₃	semidirect
1142. #3518	C₂×C₅₃	semidirect
1143. #3514	C₂×C₅₃	semidirect
1144. #3512	C₂×C₅₃	semidirect
1145. #3511	C₂×C₅₃	semidirect
1146. #3495	C₂×C₅₃	semidirect
1147. #3494	C₂×C₅₃	semidirect
1148. #3493	C₂×C₅₃	semidirect
1159. #564	C₂²×C₅₃	semidirect
1161. #563	C₂²×C₅₃	semidirect
1162. #563	C₂²×C₅₃	semidirect
1163. #563	C₂²×C₅₃	semidirect
1164. #563	C₂²×C₅₃	semidirect
1165. #563	C₂²×C₅₃	semidirect
1166. #563	C₂²×C₅₃	semidirect
1167. #563	C₂²×C₅₃	semidirect
1168. #563	C₂²×C₅₃	semidirect
1169. #563	C₂²×C₅₃	semidirect
1171. #562	C₂²×C₅₃	semidirect
1172. #562	C₂²×C₅₃	semidirect
1173. #562	C₂²×C₅₃	semidirect
1174. #562	C₂²×C₅₃	semidirect
1175. #562	C₂²×C₅₃	semidirect
1176. #562	C₂²×C₅₃	semidirect
1177. #562	C₂²×C₅₃	semidirect
1178. #562	C₂²×C₅₃	semidirect
1179. #562	C₂²×C₅₃	semidirect
1180. #562	C₂²×C₅₃	semidirect
1184. #560	C₂²×C₅₃	semidirect
1185. #560	C₂²×C₅₃	semidirect
1186. #560	C₂²×C₅₃	semidirect
1187. #559	C₂²×C₅₃	semidirect
1188. #559	C₂²×C₅₃	semidirect
1189. Q₈²	C₂²×C₅₃	semidirect
1190. #557	C₂²×C₅₃	semidirect
1192. #556	C₂²×C₅₃	semidirect
1193. #556	C₂²×C₅₃	semidirect
1194. #556	C₂²×C₅₃	semidirect
1195. #556	C₂²×C₅₃	semidirect
1196. #556	C₂²×C₅₃	semidirect
1197. #556	C₂²×C₅₃	semidirect
1198. #556	C₂²×C₅₃	semidirect
1201. #555	C₂²×C₅₃	semidirect
1202. #555	C₂²×C₅₃	semidirect
1203. #555	C₂²×C₅₃	semidirect
1204. #555	C₂²×C₅₃	semidirect
1205. #555	C₂²×C₅₃	semidirect
1206. #555	C₂²×C₅₃	semidirect
1207. #554	C₂²×C₅₃	semidirect
1208. #554	C₂²×C₅₃	semidirect
1209. #554	C₂²×C₅₃	semidirect
1210. #554	C₂²×C₅₃	semidirect
1211. #554	C₂²×C₅₃	semidirect
1212. #554	C₂²×C₅₃	semidirect
1213. #554	C₂²×C₅₃	semidirect
1214. #553	C₂²×C₅₃	semidirect
1215. #553	C₂²×C₅₃	semidirect
1216. #553	C₂²×C₅₃	semidirect
1217. #553	C₂²×C₅₃	semidirect
1218. #553	C₂²×C₅₃	semidirect
1219. #553	C₂²×C₅₃	semidirect
1220. #553	C₂²×C₅₃	semidirect
1221. #553	C₂²×C₅₃	semidirect
1222. #553	C₂²×C₅₃	semidirect
1223. #553	C₂²×C₅₃	semidirect
1224. #553	C₂²×C₅₃	semidirect
1225. #553	C₂²×C₅₃	semidirect
1226. #553	C₂²×C₅₃	semidirect
1227. #553	C₂²×C₅₃	semidirect
1229. #552	C₂²×C₅₃	semidirect
1230. #552	C₂²×C₅₃	semidirect
1231. #552	C₂²×C₅₃	semidirect
1232. #552	C₂²×C₅₃	semidirect
1233. #552	C₂²×C₅₃	semidirect
1234. #552	C₂²×C₅₃	semidirect
1235. #552	C₂²×C₅₃	semidirect
1236. #552	C₂²×C₅₃	semidirect
1237. #552	C₂²×C₅₃	semidirect
1238. #552	C₂²×C₅₃	semidirect
1239. #552	C₂²×C₅₃	semidirect
1240. #552	C₂²×C₅₃	semidirect
1242. #551	C₂²×C₅₃	semidirect
1243. #551	C₂²×C₅₃	semidirect
1244. #551	C₂²×C₅₃	semidirect
1245. #551	C₂²×C₅₃	semidirect
1246. #551	C₂²×C₅₃	semidirect
1247. #551	C₂²×C₅₃	semidirect
1248. #551	C₂²×C₅₃	semidirect
1249. #551	C₂²×C₅₃	semidirect
1250. #550	C₂²×C₅₃	semidirect
1251. #550	C₂²×C₅₃	semidirect
1252. D₄×Q₈	C₂²×C₅₃	semidirect
1253. D₄×Q₈	C₂²×C₅₃	semidirect
1254. D₄×Q₈	C₂²×C₅₃	semidirect
1255. #548	C₂²×C₅₃	semidirect
1256. #548	C₂²×C₅₃	semidirect
1257. #548	C₂²×C₅₃	semidirect
1258. #548	C₂²×C₅₃	semidirect
1259. #548	C₂²×C₅₃	semidirect
1260. #548	C₂²×C₅₃	semidirect
1261. #548	C₂²×C₅₃	semidirect
1263. #547	C₂²×C₅₃	semidirect
1264. #547	C₂²×C₅₃	semidirect
1265. #547	C₂²×C₅₃	semidirect
1266. #547	C₂²×C₅₃	semidirect
1267. #547	C₂²×C₅₃	semidirect
1268. #547	C₂²×C₅₃	semidirect
1272. #546	C₂²×C₅₃	semidirect
1273. #546	C₂²×C₅₃	semidirect
1274. #546	C₂²×C₅₃	semidirect
1275. #546	C₂²×C₅₃	semidirect
1276. #546	C₂²×C₅₃	semidirect
1277. #546	C₂²×C₅₃	semidirect
1279. #544	C₂²×C₅₃	semidirect
1280. #544	C₂²×C₅₃	semidirect
1281. #544	C₂²×C₅₃	semidirect
1282. #544	C₂²×C₅₃	semidirect
1283. #544	C₂²×C₅₃	semidirect
1284. #543	C₂²×C₅₃	semidirect
1286. #542	C₂²×C₅₃	semidirect
1287. #542	C₂²×C₅₃	semidirect
1288. #542	C₂²×C₅₃	semidirect
1289. #542	C₂²×C₅₃	semidirect
1290. #542	C₂²×C₅₃	semidirect
1291. #542	C₂²×C₅₃	semidirect
1292. #542	C₂²×C₅₃	semidirect
1293. #542	C₂²×C₅₃	semidirect
1294. #542	C₂²×C₅₃	semidirect
1295. #542	C₂²×C₅₃	semidirect
1296. #542	C₂²×C₅₃	semidirect
1297. #541	C₂²×C₅₃	semidirect
1298. #541	C₂²×C₅₃	semidirect
1299. #541	C₂²×C₅₃	semidirect
1300. #541	C₂²×C₅₃	semidirect
1301. #541	C₂²×C₅₃	semidirect
1302. #540	C₂²×C₅₃	semidirect
1303. #540	C₂²×C₅₃	semidirect
1304. #540	C₂²×C₅₃	semidirect
1305. #540	C₂²×C₅₃	semidirect
1306. #540	C₂²×C₅₃	semidirect
1307. #540	C₂²×C₅₃	semidirect
1308. #540	C₂²×C₅₃	semidirect
1309. #540	C₂²×C₅₃	semidirect
1311. #539	C₂²×C₅₃	semidirect
1312. #539	C₂²×C₅₃	semidirect
1313. #539	C₂²×C₅₃	semidirect
1314. #539	C₂²×C₅₃	semidirect
1315. #539	C₂²×C₅₃	semidirect
1316. #539	C₂²×C₅₃	semidirect
1317. #539	C₂²×C₅₃	semidirect
1319. #538	C₂²×C₅₃	semidirect
1320. #538	C₂²×C₅₃	semidirect
1321. #538	C₂²×C₅₃	semidirect
1322. #538	C₂²×C₅₃	semidirect
1323. #538	C₂²×C₅₃	semidirect
1324. #538	C₂²×C₅₃	semidirect
1325. #538	C₂²×C₅₃	semidirect
1326. #538	C₂²×C₅₃	semidirect
1327. #538	C₂²×C₅₃	semidirect
1330. #537	C₂²×C₅₃	semidirect
1331. #537	C₂²×C₅₃	semidirect
1332. #537	C₂²×C₅₃	semidirect
1333. #537	C₂²×C₅₃	semidirect
1334. #537	C₂²×C₅₃	semidirect
1335. #537	C₂²×C₅₃	semidirect
1336. #536	C₂²×C₅₃	semidirect
1337. #536	C₂²×C₅₃	semidirect
1338. #536	C₂²×C₅₃	semidirect
1339. #536	C₂²×C₅₃	semidirect
1341. #535	C₂²×C₅₃	semidirect
1343. #533	C₂²×C₅₃	semidirect
1344. #533	C₂²×C₅₃	semidirect
1345. #533	C₂²×C₅₃	semidirect
1346. #533	C₂²×C₅₃	semidirect
1347. #532	C₂²×C₅₃	semidirect
1348. #532	C₂²×C₅₃	semidirect
1349. #532	C₂²×C₅₃	semidirect
1350. #532	C₂²×C₅₃	semidirect
1351. #532	C₂²×C₅₃	semidirect
1352. C₂×C₄⋊Q₈	C₂²×C₅₃	semidirect
1354. #529	C₂²×C₅₃	semidirect
1355. #529	C₂²×C₅₃	semidirect
1356. #529	C₂²×C₅₃	semidirect
1357. #529	C₂²×C₅₃	semidirect
1358. #529	C₂²×C₅₃	semidirect
1359. #529	C₂²×C₅₃	semidirect
1360. #529	C₂²×C₅₃	semidirect
1361. #529	C₂²×C₅₃	semidirect
1362. #529	C₂²×C₅₃	semidirect
1363. #529	C₂²×C₅₃	semidirect
1364. #529	C₂²×C₅₃	semidirect
1365. #529	C₂²×C₅₃	semidirect
1366. #529	C₂²×C₅₃	semidirect
1367. #529	C₂²×C₅₃	semidirect
1368. #529	C₂²×C₅₃	semidirect
1369. #529	C₂²×C₅₃	semidirect
1370. C₂×#126	C₂²×C₅₃	semidirect
1371. C₂×#125	C₂²×C₅₃	semidirect
1374. #525	C₂²×C₅₃	semidirect
1375. #525	C₂²×C₅₃	semidirect
1376. #525	C₂²×C₅₃	semidirect
1377. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
1378. C₂×#121	C₂²×C₅₃	semidirect
1379. #520	C₂²×C₅₃	semidirect
1380. #520	C₂²×C₅₃	semidirect
1381. #520	C₂²×C₅₃	semidirect
1382. #520	C₂²×C₅₃	semidirect
1383. #519	C₂²×C₅₃	semidirect
1384. #518	C₂²×C₅₃	semidirect
1385. C₄×#41	C₂²×C₅₃	semidirect
1386. C₄×#41	C₂²×C₅₃	semidirect
1387. C₂×#117	C₂²×C₅₃	semidirect
1388. C₅₃	#63065	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×#3567	2
C₅₃×#3566	2
C₅₃×#3564	2
C₅₃×#3563	2
C₅₃×#3562	2
C₅₃×#3561	2
C₅₃×#3560	2
C₅₃×#3559	2
C₅₃×#3552	2
C₅₃×#3551	2
C₅₃×#3548	2
C₅₃×#3547	2
C₅₃×#3545	2
C₅₃×#3544	2
C₅₃×#3542	2
C₅₃×#3541	2
C₅₃×#3536	2
C₅₃×#3531	2
C₅₃×#3529	2
C₅₃×#3524	2
C₅₃×#3521	2
C₅₃×#3518	2
C₅₃×#3514	2
C₅₃×#3512	2
C₅₃×#3511	2
C₅₃×#3495	2
C₅₃×#3494	2
C₅₃×#3493	2
#63065	53

Subgroups — C53×#63065 #27270577

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#63065 #27270577