Subgroups — C₅₃×#63053 #27270565

Order 13568.

6280 conjugacy classes of subgroups.

The subgroup lattice has 2202 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×#3566	C₂	1	4	yes	maximal, complemented
4	C₅₃×#3566	C₂	1	4	yes	maximal, complemented
5	C₅₃×#3565	C₂	1	2	yes	maximal, complemented
6	C₅₃×#3565	C₂	1	4	yes	maximal, complemented
7	C₅₃×#3565	C₂	1	4	yes	maximal, complemented
8	C₅₃×#3563	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅₃×#3563	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅₃×#3563	C₂	1	2	yes	maximal, complemented
11	C₅₃×#3555	C₂	1	4	yes	maximal, complemented
12	C₅₃×#3555	C₂	1	2	yes	maximal, complemented
13	C₅₃×#3553	C₂	1	2	yes	maximal, complemented
14	C₅₃×#3550	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅₃×#3547	C₂	1	2	yes	maximal, complemented
16	C₅₃×#3541	C₂	1	2	yes	maximal, complemented
17	C₅₃×#3541	C₂	1	2	yes	maximal, complemented
18	C₅₃×#3538	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×#3523	C₂	1	2	yes	maximal, complemented
22	C₅₃×#3518	C₂	1	1	yes	maximal, characteristic, complemented
23	C₅₃×#3516	C₂	1	2	yes	maximal, complemented
24	C₅₃×#3515	C₂	1	1	yes	maximal, characteristic, complemented
25	C₅₃×#3512	C₂	1	1	yes	maximal, characteristic, complemented
26	C₅₃×#3507	C₂	1	2	yes	maximal, complemented
27	C₅₃×#3495	C₂	1	2	yes	maximal, complemented
28	C₅₃×#3495	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×#564	C₂²	1	2	yes	complemented
32	C₅₃×#563	C₂²	1	2	yes	—
33	C₅₃×#563	C₂²	1	1	yes	characteristic
34	C₅₃×#563	C₂²	1	2	yes	—
35	C₅₃×#563	C₂²	1	4	yes	—
36	C₅₃×#563	C₂²	1	2	yes	—
37	C₅₃×#563	C₂²	1	2	yes	—
38	C₅₃×#563	C₂²	1	4	yes	complemented
39	C₅₃×#563	C₂²	1	4	yes	complemented
40	C₅₃×#563	C₂²	1	2	yes	complemented
41	C₅₃×#563	C₂²	1	4	yes	complemented
42	C₅₃×#563	C₂²	1	4	yes	complemented
43	C₅₃×#563	C₂²	1	4	yes	complemented
44	C₅₃×#563	C₂²	1	4	yes	complemented
45	C₅₃×#562	C₂²	1	1	yes	characteristic
46	C₅₃×#562	C₂²	1	1	yes	characteristic
47	C₅₃×#562	C₂²	1	2	yes	—
48	C₅₃×#562	C₂²	1	2	yes	—
49	C₅₃×#562	C₂²	1	4	yes	—
50	C₅₃×#562	C₂²	1	4	yes	—
51	C₅₃×#562	C₂²	1	4	yes	—
52	C₅₃×#562	C₂²	1	4	yes	complemented
53	C₅₃×#562	C₂²	1	4	yes	complemented
54	C₅₃×H(3,𝔽₄)	C₂²	1	1	yes	characteristic
55	C₅₃×#560	C₂²	1	2	yes	—
56	C₅₃×#560	C₂²	1	2	yes	—
57	C₅₃×#560	C₂²	1	2	yes	—
58	C₅₃×#559	C₂²	1	4	yes	—
59	C₅₃×#559	C₂²	1	2	yes	—
60	Q₈²×C₅₃	C₂²	1	1	yes	characteristic, complemented
61	Q₈²×C₅₃	C₂²	1	2	yes	complemented
62	C₅₃×#557	C₂²	1	4	yes	complemented
63	C₅₃×#557	C₂²	1	1	yes	characteristic, complemented
64	C₅₃×#557	C₂²	1	2	yes	complemented
65	C₅₃×#557	C₂²	1	4	yes	complemented
66	C₅₃×#557	C₂²	1	2	yes	complemented
67	C₅₃×#557	C₂²	1	4	yes	complemented
68	C₅₃×#556	C₂²	1	2	yes	—
69	C₅₃×#556	C₂²	1	2	yes	—
70	C₅₃×#556	C₂²	1	4	yes	—
71	C₅₃×#556	C₂²	1	4	yes	—
72	C₅₃×#556	C₂²	1	4	yes	—
73	C₅₃×#556	C₂²	1	2	yes	complemented
74	C₅₃×#556	C₂²	1	4	yes	complemented
75	C₅₃×#556	C₂²	1	2	yes	complemented
76	C₅₃×#556	C₂²	1	2	yes	complemented
77	C₅₃×#556	C₂²	1	2	yes	complemented
78	C₅₃×#556	C₂²	1	4	yes	complemented
79	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
80	C₅₃×#556	C₂²	1	4	yes	complemented
81	C₅₃×#556	C₂²	1	4	yes	complemented
82	C₅₃×#556	C₂²	1	2	yes	complemented
83	C₅₃×#556	C₂²	1	4	yes	complemented
84	C₅₃×#555	C₂²	1	1	yes	characteristic
85	C₅₃×#555	C₂²	1	4	yes	—
86	C₅₃×#555	C₂²	1	2	yes	—
87	C₅₃×#555	C₂²	1	2	yes	complemented
88	C₅₃×#555	C₂²	1	4	yes	complemented
89	C₅₃×#554	C₂²	1	1	yes	characteristic
90	C₅₃×#554	C₂²	1	2	yes	—
91	C₅₃×#554	C₂²	1	2	yes	complemented
92	C₅₃×#554	C₂²	1	2	yes	complemented
93	C₅₃×#554	C₂²	1	2	yes	complemented
94	C₅₃×#554	C₂²	1	1	yes	characteristic, complemented
95	C₅₃×#554	C₂²	1	4	yes	complemented
96	C₅₃×#554	C₂²	1	4	yes	complemented
97	C₅₃×#554	C₂²	1	4	yes	complemented
98	C₅₃×#553	C₂²	1	2	yes	—
99	C₅₃×#553	C₂²	1	4	yes	—
100	C₅₃×#553	C₂²	1	2	yes	—
101	C₅₃×#553	C₂²	1	4	yes	—
102	C₅₃×#553	C₂²	1	4	yes	—
103	C₅₃×#553	C₂²	1	4	yes	—
104	C₅₃×#553	C₂²	1	2	yes	complemented
105	C₅₃×#553	C₂²	1	2	yes	complemented
106	C₅₃×#553	C₂²	1	4	yes	complemented
107	C₅₃×#553	C₂²	1	4	yes	complemented
108	C₅₃×#553	C₂²	1	4	yes	complemented
109	C₅₃×#552	C₂²	1	2	yes	—
110	C₅₃×#552	C₂²	1	2	yes	—
111	C₅₃×#552	C₂²	1	2	yes	—
112	C₅₃×#552	C₂²	1	2	yes	—
113	C₅₃×#552	C₂²	1	4	yes	—
114	C₅₃×#552	C₂²	1	4	yes	—
115	C₅₃×#552	C₂²	1	2	yes	complemented
116	C₅₃×#552	C₂²	1	4	yes	complemented
117	C₅₃×#552	C₂²	1	2	yes	complemented
118	C₅₃×#552	C₂²	1	2	yes	complemented
119	C₅₃×#552	C₂²	1	2	yes	complemented
120	C₅₃×#552	C₂²	1	2	yes	complemented
121	C₅₃×#552	C₂²	1	4	yes	complemented
122	C₅₃×#552	C₂²	1	4	yes	complemented
123	C₅₃×#552	C₂²	1	2	yes	complemented
124	C₅₃×#552	C₂²	1	2	yes	complemented
125	C₅₃×#552	C₂²	1	2	yes	complemented
126	C₅₃×#552	C₂²	1	4	yes	complemented
127	C₅₃×#552	C₂²	1	2	yes	complemented
128	C₅₃×#552	C₂²	1	4	yes	complemented
129	C₅₃×#552	C₂²	1	4	yes	complemented
130	C₅₃×#552	C₂²	1	4	yes	complemented
131	C₅₃×#552	C₂²	1	4	yes	complemented
132	C₅₃×#552	C₂²	1	4	yes	complemented
133	C₅₃×#552	C₂²	1	4	yes	complemented
134	C₅₃×#551	C₂²	1	4	yes	—
135	C₅₃×#551	C₂²	1	4	yes	—
136	C₅₃×#551	C₂²	1	4	yes	—
137	C₅₃×#551	C₂²	1	4	yes	complemented
138	C₅₃×#551	C₂²	1	4	yes	complemented
139	C₅₃×#551	C₂²	1	4	yes	complemented
140	D₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic
141	D₄×Q₈×C₅₃	C₂²	1	2	yes	—
142	D₄×Q₈×C₅₃	C₂²	1	2	yes	complemented
143	D₄×Q₈×C₅₃	C₂²	1	2	yes	complemented
144	D₄×Q₈×C₅₃	C₂²	1	2	yes	complemented
145	C₅₃×#548	C₂²	1	2	yes	—
146	C₅₃×#548	C₂²	1	2	yes	complemented
147	C₅₃×#548	C₂²	1	2	yes	complemented
148	C₅₃×#547	C₂²	1	1	yes	characteristic
149	C₅₃×#547	C₂²	1	2	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×#544	C₂²	1	4	yes	complemented
154	C₅₃×#544	C₂²	1	4	yes	complemented
155	C₅₃×#544	C₂²	1	4	yes	complemented
156	C₅₃×#544	C₂²	1	2	yes	complemented
157	C₅₃×#544	C₂²	1	2	yes	complemented
158	C₅₃×#542	C₂²	1	4	yes	—
159	C₅₃×#542	C₂²	1	4	yes	—
160	C₅₃×#542	C₂²	1	4	yes	—
161	C₅₃×#542	C₂²	1	4	yes	—
162	C₅₃×#542	C₂²	1	4	yes	—
163	C₅₃×#542	C₂²	1	4	yes	—
164	C₅₃×#542	C₂²	1	4	yes	—
165	C₅₃×#542	C₂²	1	2	yes	complemented
166	C₅₃×#542	C₂²	1	2	yes	complemented
167	C₅₃×#542	C₂²	1	4	yes	complemented
168	C₅₃×#542	C₂²	1	4	yes	complemented
169	C₅₃×#542	C₂²	1	4	yes	complemented
170	C₅₃×#542	C₂²	1	4	yes	complemented
171	C₅₃×#542	C₂²	1	4	yes	complemented
172	C₅₃×#542	C₂²	1	4	yes	complemented
173	C₅₃×#541	C₂²	1	4	yes	complemented
174	C₅₃×#541	C₂²	1	4	yes	complemented
175	C₅₃×#541	C₂²	1	2	yes	complemented
176	C₅₃×#541	C₂²	1	2	yes	complemented
177	C₅₃×#541	C₂²	1	2	yes	complemented
178	C₅₃×#541	C₂²	1	4	yes	complemented
179	C₅₃×#541	C₂²	1	2	yes	complemented
180	C₅₃×#541	C₂²	1	2	yes	complemented
181	C₅₃×#541	C₂²	1	4	yes	complemented
182	C₅₃×#541	C₂²	1	4	yes	complemented
183	C₅₃×#541	C₂²	1	4	yes	complemented
184	C₅₃×#541	C₂²	1	4	yes	complemented
185	C₅₃×#541	C₂²	1	4	yes	complemented
186	C₅₃×#541	C₂²	1	4	yes	complemented
187	C₅₃×#541	C₂²	1	4	yes	complemented
188	C₅₃×#541	C₂²	1	4	yes	complemented
189	C₅₃×#540	C₂²	1	2	yes	—
190	C₅₃×#540	C₂²	1	4	yes	—
191	C₅₃×#539	C₂²	1	4	yes	—
192	C₅₃×#539	C₂²	1	4	yes	—
193	C₅₃×#539	C₂²	1	4	yes	—
194	C₅₃×#539	C₂²	1	2	yes	—
195	C₅₃×#539	C₂²	1	2	yes	—
196	C₅₃×#539	C₂²	1	4	yes	complemented
197	C₅₃×#539	C₂²	1	4	yes	complemented
198	C₅₃×#539	C₂²	1	4	yes	complemented
199	C₅₃×#539	C₂²	1	4	yes	complemented
200	C₅₃×#539	C₂²	1	4	yes	complemented
201	C₅₃×#538	C₂²	1	4	yes	—
202	C₅₃×#538	C₂²	1	4	yes	—
203	C₅₃×#538	C₂²	1	4	yes	—
204	C₅₃×#538	C₂²	1	4	yes	complemented
205	C₅₃×#538	C₂²	1	4	yes	complemented
206	C₅₃×#538	C₂²	1	4	yes	complemented
207	C₅₃×#537	C₂²	1	2	yes	—
208	C₅₃×#537	C₂²	1	1	yes	characteristic
209	C₅₃×#537	C₂²	1	1	yes	characteristic, complemented
210	C₅₃×#536	C₂²	1	2	yes	—
211	C₅₃×#536	C₂²	1	2	yes	—
212	C₅₃×#536	C₂²	1	2	yes	—
213	C₅₃×#536	C₂²	1	2	yes	complemented
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×#533	C₂²	1	2	yes	complemented
219	C₅₃×#533	C₂²	1	1	yes	characteristic, complemented
220	C₅₃×#533	C₂²	1	4	yes	complemented
221	C₅₃×#533	C₂²	1	2	yes	complemented
222	C₅₃×#532	C₂²	1	2	yes	—
223	C₅₃×#532	C₂²	1	1	yes	characteristic
224	C₅₃×#529	C₂²	1	4	yes	—
225	C₅₃×#529	C₂²	1	4	yes	—
226	C₅₃×#529	C₂²	1	4	yes	—
227	C₅₃×#529	C₂²	1	2	yes	—
228	C₅₃×#529	C₂²	1	1	yes	characteristic
229	C₅₃×#529	C₂²	1	2	yes	—
230	C₅₃×#529	C₂²	1	2	yes	—
231	C₅₃×#529	C₂²	1	1	yes	characteristic
232	C₅₃×#529	C₂²	1	2	yes	—
233	C₅₃×#529	C₂²	1	2	yes	—
234	C₅₃×#529	C₂²	1	4	yes	—
235	C₅₃×#529	C₂²	1	4	yes	complemented
236	C₅₃×#529	C₂²	1	4	yes	complemented
237	C₅₃×#529	C₂²	1	4	yes	complemented
238	C₅₃×#529	C₂²	1	2	yes	complemented
239	C₅₃×#529	C₂²	1	4	yes	complemented
240	C₅₃×#529	C₂²	1	2	yes	complemented
241	C₅₃×#529	C₂²	1	4	yes	complemented
242	C₂×#125×C₅₃	C₂²	1	1	yes	characteristic, complemented
243	C₂×#125×C₅₃	C₂²	1	2	yes	complemented
244	C₅₃×#525	C₂²	1	2	yes	—
245	C₅₃×#525	C₂²	1	2	yes	—
246	C₅₃×#525	C₂²	1	2	yes	—
247	C₅₃×#525	C₂²	1	2	yes	complemented
248	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	2	yes	complemented
249	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	2	yes	complemented
250	C₅₃×#520	C₂²	1	2	yes	—
251	C₅₃×#520	C₂²	1	1	yes	characteristic
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×#519	C₂²	1	2	yes	complemented
256	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
257	C₂×C₄×Q₈×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	C₂²×Q₈×C₅₃	C₂³	1	2	yes	—
265	C₂²×Q₈×C₅₃	C₂³	1	2	yes	—
266	C₂²×Q₈×C₅₃	C₂³	1	2	yes	—
267	C₂³×C₄×C₅₃	C₂³	1	2	yes	—
268	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
269	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
270	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
271	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
272	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
273	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
274	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
275	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
276	C₄⋊Q₈×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	4	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	1	yes	characteristic
284	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	—
285	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
286	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
287	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
288	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
289	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
290	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
291	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
292	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
293	C₄⋊Q₈×C₅₃	C₂³	1	4	yes	—
294	#127×C₅₃	C₂³	1	2	yes	—
295	#127×C₅₃	C₂³	1	1	yes	characteristic
296	#126×C₅₃	C₂³	1	4	yes	—
297	#126×C₅₃	C₂³	1	4	yes	—
298	#126×C₅₃	C₂³	1	4	yes	—
299	#126×C₅₃	C₂³	1	4	yes	—
300	#126×C₅₃	C₂³	1	4	yes	—
301	#126×C₅₃	C₂³	1	4	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	2	yes	—
307	#126×C₅₃	C₂³	1	2	yes	—
308	#126×C₅₃	C₂³	1	2	yes	—
309	#126×C₅₃	C₂³	1	4	yes	—
310	#126×C₅₃	C₂³	1	2	yes	—
311	#126×C₅₃	C₂³	1	2	yes	—
312	#126×C₅₃	C₂³	1	2	yes	—
313	#126×C₅₃	C₂³	1	4	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	4	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	#126×C₅₃	C₂³	1	4	yes	—
336	#126×C₅₃	C₂³	1	4	yes	—
337	#126×C₅₃	C₂³	1	4	yes	—
338	#126×C₅₃	C₂³	1	4	yes	—
339	#126×C₅₃	C₂³	1	4	yes	—
340	#126×C₅₃	C₂³	1	4	yes	—
341	#125×C₅₃	C₂³	1	1	yes	characteristic
342	#125×C₅₃	C₂³	1	2	yes	—
343	#125×C₅₃	C₂³	1	2	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	2	yes	—
351	#125×C₅₃	C₂³	1	1	yes	characteristic
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	2	yes	—
357	#125×C₅₃	C₂³	1	2	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	#125×C₅₃	C₂³	1	2	yes	—
364	#125×C₅₃	C₂³	1	4	yes	—
365	#125×C₅₃	C₂³	1	4	yes	—
366	#125×C₅₃	C₂³	1	4	yes	—
367	#125×C₅₃	C₂³	1	4	yes	—
368	#125×C₅₃	C₂³	1	4	yes	—
369	#125×C₅₃	C₂³	1	4	yes	—
370	#125×C₅₃	C₂³	1	2	yes	—
371	#125×C₅₃	C₂³	1	4	yes	—
372	#125×C₅₃	C₂³	1	4	yes	—
373	#125×C₅₃	C₂³	1	2	yes	—
374	#125×C₅₃	C₂³	1	4	yes	—
375	#125×C₅₃	C₂³	1	4	yes	—
376	#125×C₅₃	C₂³	1	4	yes	—
377	#125×C₅₃	C₂³	1	4	yes	—
378	#125×C₅₃	C₂³	1	4	yes	—
379	#125×C₅₃	C₂³	1	4	yes	—
380	#125×C₅₃	C₂³	1	4	yes	—
381	#125×C₅₃	C₂³	1	4	yes	—
382	#125×C₅₃	C₂³	1	4	yes	—
383	#125×C₅₃	C₂³	1	4	yes	—
384	#125×C₅₃	C₂³	1	4	yes	—
385	#125×C₅₃	C₂³	1	4	yes	—
386	#125×C₅₃	C₂³	1	4	yes	—
387	#125×C₅₃	C₂³	1	4	yes	—
388	#125×C₅₃	C₂³	1	4	yes	—
389	#124×C₅₃	C₂³	1	1	yes	characteristic
390	#124×C₅₃	C₂³	1	1	yes	characteristic
391	#124×C₅₃	C₂³	1	1	yes	characteristic
392	#124×C₅₃	C₂³	1	4	yes	—
393	#124×C₅₃	C₂³	1	4	yes	—
394	#124×C₅₃	C₂³	1	4	yes	—
395	#124×C₅₃	C₂³	1	4	yes	—
396	#124×C₅₃	C₂³	1	2	yes	—
397	#124×C₅₃	C₂³	1	2	yes	—
398	#124×C₅₃	C₂³	1	1	yes	characteristic
399	#124×C₅₃	C₂³	1	4	yes	—
400	#124×C₅₃	C₂³	1	4	yes	—
401	#124×C₅₃	C₂³	1	4	yes	—
402	#124×C₅₃	C₂³	1	4	yes	—
403	#124×C₅₃	C₂³	1	2	yes	—
404	#124×C₅₃	C₂³	1	4	yes	—
405	#124×C₅₃	C₂³	1	2	yes	—
406	#124×C₅₃	C₂³	1	2	yes	—
407	#124×C₅₃	C₂³	1	4	yes	—
408	#124×C₅₃	C₂³	1	4	yes	—
409	#124×C₅₃	C₂³	1	4	yes	—
410	#124×C₅₃	C₂³	1	4	yes	—
411	#124×C₅₃	C₂³	1	4	yes	—
412	#124×C₅₃	C₂³	1	4	yes	—
413	#124×C₅₃	C₂³	1	4	yes	—
414	#124×C₅₃	C₂³	1	4	yes	—
415	#124×C₅₃	C₂³	1	4	yes	—
416	#123×C₅₃	C₂³	1	2	yes	—
417	#123×C₅₃	C₂³	1	2	yes	—
418	#123×C₅₃	C₂³	1	2	yes	—
419	#123×C₅₃	C₂³	1	2	yes	—
420	#123×C₅₃	C₂³	1	2	yes	—
421	#123×C₅₃	C₂³	1	2	yes	—
422	#123×C₅₃	C₂³	1	4	yes	—
423	#123×C₅₃	C₂³	1	2	yes	—
424	#123×C₅₃	C₂³	1	2	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	2	yes	—
432	#123×C₅₃	C₂³	1	2	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	2	yes	—
437	#123×C₅₃	C₂³	1	2	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	#123×C₅₃	C₂³	1	4	yes	—
445	#123×C₅₃	C₂³	1	4	yes	—
446	#123×C₅₃	C₂³	1	4	yes	—
447	#123×C₅₃	C₂³	1	4	yes	—
448	#123×C₅₃	C₂³	1	4	yes	—
449	#123×C₅₃	C₂³	1	4	yes	—
450	#123×C₅₃	C₂³	1	4	yes	—
451	#123×C₅₃	C₂³	1	4	yes	—
452	#123×C₅₃	C₂³	1	4	yes	—
453	#123×C₅₃	C₂³	1	4	yes	—
454	#123×C₅₃	C₂³	1	4	yes	—
455	#123×C₅₃	C₂³	1	4	yes	—
456	#123×C₅₃	C₂³	1	4	yes	—
457	#123×C₅₃	C₂³	1	4	yes	—
458	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
459	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
460	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
461	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
462	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
463	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
464	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
465	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
466	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
467	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
468	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
469	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
470	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
471	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
472	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
473	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
474	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
475	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
476	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
477	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
478	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
479	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
480	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
481	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
482	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
483	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
484	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
485	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
486	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
487	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
488	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
489	C₂²⋊Q₈×C₅₃	C₂³	1	2	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	2	yes	—
494	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
495	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
496	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
497	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
498	C₂²⋊Q₈×C₅₃	C₂³	1	2	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	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
504	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
505	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
506	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
507	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
508	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
509	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
510	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
511	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
512	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
513	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
514	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
515	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
516	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
517	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
518	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
519	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
520	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
521	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
522	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
523	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
524	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
525	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
526	C₂²⋊Q₈×C₅₃	C₂³	1	4	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	2	yes	—
532	#121×C₅₃	C₂³	1	2	yes	—
533	#121×C₅₃	C₂³	1	2	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	1	yes	characteristic
541	#121×C₅₃	C₂³	1	1	yes	characteristic
542	#121×C₅₃	C₂³	1	2	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	2	yes	—
548	#121×C₅₃	C₂³	1	4	yes	—
549	#121×C₅₃	C₂³	1	4	yes	—
550	#121×C₅₃	C₂³	1	2	yes	—
551	#121×C₅₃	C₂³	1	2	yes	—
552	#121×C₅₃	C₂³	1	2	yes	—
553	#121×C₅₃	C₂³	1	2	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	#120×C₅₃	C₂³	1	2	yes	—
564	#120×C₅₃	C₂³	1	2	yes	—
565	#120×C₅₃	C₂³	1	2	yes	—
566	#120×C₅₃	C₂³	1	2	yes	—
567	#120×C₅₃	C₂³	1	2	yes	—
568	#120×C₅₃	C₂³	1	2	yes	—
569	#120×C₅₃	C₂³	1	4	yes	—
570	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
571	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
572	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
573	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
574	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
575	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
576	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
577	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
578	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
579	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
580	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
581	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
582	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
583	C₄×Q₈×C₅₃	C₂³	1	2	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	1	yes	characteristic
591	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
592	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
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	4	yes	—
599	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
600	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
601	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
602	C₄×Q₈×C₅₃	C₂³	1	2	yes	—
603	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
604	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
605	C₄×Q₈×C₅₃	C₂³	1	4	yes	—
606	C₄×Q₈×C₅₃	C₂³	1	4	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	4	yes	—
616	C₄×D₄×C₅₃	C₂³	1	4	yes	—
617	C₄×D₄×C₅₃	C₂³	1	4	yes	—
618	C₄×D₄×C₅₃	C₂³	1	2	yes	—
619	C₄×D₄×C₅₃	C₂³	1	4	yes	—
620	C₄×D₄×C₅₃	C₂³	1	2	yes	—
621	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
622	C₄×D₄×C₅₃	C₂³	1	2	yes	—
623	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
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	2	yes	—
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	4	yes	—
632	C₄×D₄×C₅₃	C₂³	1	4	yes	—
633	C₄×D₄×C₅₃	C₂³	1	2	yes	—
634	C₄×D₄×C₅₃	C₂³	1	4	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	4	yes	—
639	C₄×D₄×C₅₃	C₂³	1	4	yes	—
640	C₄×D₄×C₅₃	C₂³	1	4	yes	—
641	C₄×D₄×C₅₃	C₂³	1	2	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	#117×C₅₃	C₂³	1	2	yes	—
651	#117×C₅₃	C₂³	1	2	yes	—
652	#117×C₅₃	C₂³	1	2	yes	—
653	#117×C₅₃	C₂³	1	2	yes	—
654	#117×C₅₃	C₂³	1	4	yes	—
655	#117×C₅₃	C₂³	1	4	yes	—
656	#117×C₅₃	C₂³	1	1	yes	characteristic
657	#117×C₅₃	C₂³	1	2	yes	—
658	#117×C₅₃	C₂³	1	2	yes	—
659	#117×C₅₃	C₂³	1	2	yes	—
660	#117×C₅₃	C₂³	1	4	yes	—
661	#117×C₅₃	C₂³	1	4	yes	—
662	#117×C₅₃	C₂³	1	4	yes	—
663	#117×C₅₃	C₂³	1	4	yes	—
664	#117×C₅₃	C₂³	1	2	yes	—
665	#117×C₅₃	C₂³	1	2	yes	—
666	#117×C₅₃	C₂³	1	2	yes	—
667	#117×C₅₃	C₂³	1	4	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	4	yes	—
672	#117×C₅₃	C₂³	1	4	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	2	yes	—
678	#117×C₅₃	C₂³	1	2	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	#117×C₅₃	C₂³	1	4	yes	—
686	#117×C₅₃	C₂³	1	2	yes	—
687	#117×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	2	yes	—
691	C₂×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
692	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
693	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
694	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
695	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
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×C₄⋊C₄×C₅₃	C₂³	1	4	yes	—
700	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
701	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
702	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	—
703	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	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	4	yes	—
710	C₂×C₄²×C₅₃	C₂³	1	2	yes	—
711	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
712	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
713	#41×C₅₃	—	4	2	no	—
714	#41×C₅₃	—	4	4	no	—
715	#41×C₅₃	—	4	2	no	—
716	#41×C₅₃	—	4	4	no	—
717	#41×C₅₃	—	4	2	no	—
718	C₂×Q₈×C₅₃	—	4	4	no	—
719	C₂×Q₈×C₅₃	—	4	4	no	—
720	C₂×Q₈×C₅₃	—	4	4	no	—
721	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
722	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
723	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
724	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
725	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
726	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
727	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
728	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
729	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
730	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
731	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
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	1	yes	characteristic
737	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
738	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
739	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
740	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
741	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
742	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
743	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
744	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
745	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
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	2	yes	—
750	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
751	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
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	4	yes	—
757	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
758	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
759	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
760	C₂²×C₄×C₅₃	—	4	4	no	—
761	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
762	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
763	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
764	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
765	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
766	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
767	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
768	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
769	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
770	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
771	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
772	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
773	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
774	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
775	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
776	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
777	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
778	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
779	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
780	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
781	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
782	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
783	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
784	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
785	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
786	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
787	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
788	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
789	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
790	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
791	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
792	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
793	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
794	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
795	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
796	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
797	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
798	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
799	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
800	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
801	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
802	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
803	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
804	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
805	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
806	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
807	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
808	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
809	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
810	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
811	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
812	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
813	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
814	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
815	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
816	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
817	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
818	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
819	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
820	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
821	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
822	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
823	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
824	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
825	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
826	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
827	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
828	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
829	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
830	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
831	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
832	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
833	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
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	2	yes	—
838	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
839	C₄⋊C₄×C₅₃	C₂⁴	1	4	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	2	yes	—
847	C₄⋊C₄×C₅₃	C₂⁴	1	2	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	2	yes	—
852	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
853	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
854	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
855	C₄⋊C₄×C₅₃	C₂⁴	1	2	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	4	yes	—
860	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
861	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
862	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
863	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
864	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
865	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
866	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
867	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
868	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
869	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
870	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
871	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
872	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
873	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
874	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
875	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
876	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
877	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
878	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
879	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
880	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
881	C₂²⋊C₄×C₅₃	C₂⁴	1	2	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	2	yes	—
886	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
887	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
888	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
889	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
890	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
891	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
892	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
893	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
894	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
895	C₂²⋊C₄×C₅₃	C₂⁴	1	2	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	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	4	yes	—
907	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
908	C₂²⋊C₄×C₅₃	C₂⁴	1	2	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	2	yes	—
913	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
914	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
915	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
916	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
917	C₂²⋊C₄×C₅₃	C₂⁴	1	4	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	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
924	C₄²×C₅₃	C₂⁴	1	4	yes	—
925	C₄²×C₅₃	C₂⁴	1	2	yes	—
926	C₄²×C₅₃	C₂⁴	1	4	yes	—
927	C₄²×C₅₃	C₂⁴	1	2	yes	—
928	C₄²×C₅₃	C₂⁴	1	4	yes	—
929	C₄²×C₅₃	C₂⁴	1	4	yes	—
930	C₄²×C₅₃	C₂⁴	1	4	yes	—
931	C₄²×C₅₃	C₂⁴	1	2	yes	—
932	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
933	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
934	C₄²×C₅₃	C₂⁴	1	2	yes	—
935	C₄²×C₅₃	C₂⁴	1	2	yes	—
936	C₄²×C₅₃	C₂⁴	1	4	yes	—
937	C₄²×C₅₃	C₂⁴	1	4	yes	—
938	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
939	C₄²×C₅₃	C₂⁴	1	2	yes	—
940	C₄²×C₅₃	C₂⁴	1	4	yes	—
941	C₄²×C₅₃	C₂⁴	1	2	yes	—
942	C₄²×C₅₃	C₂⁴	1	4	yes	—
943	C₄²×C₅₃	C₂⁴	1	4	yes	—
944	C₄²×C₅₃	C₂⁴	1	4	yes	—
945	C₄²×C₅₃	C₂⁴	1	4	yes	—
946	C₄²×C₅₃	C₂⁴	1	4	yes	—
947	C₄²×C₅₃	C₂⁴	1	4	yes	—
948	C₄²×C₅₃	C₂⁴	1	4	yes	—
949	C₄²×C₅₃	C₂⁴	1	4	yes	—
950	C₂³×C₅₃	—	4	2	no	—
951	C₂³×C₅₃	—	4	2	no	—
952	C₂³×C₅₃	—	4	2	no	—
953	C₂³×C₅₃	C₂⁵	1	2	yes	—
954	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
955	C₂³×C₅₃	C₂⁵	1	2	yes	—
956	C₂³×C₅₃	C₂⁵	1	2	yes	—
957	C₂³×C₅₃	C₂⁵	1	2	yes	—
958	C₂³×C₅₃	C₂⁵	1	2	yes	—
959	Q₈×C₅₃	—	2	4	no	—
960	Q₈×C₅₃	—	2	4	no	—
961	Q₈×C₅₃	—	2	2	no	—
962	Q₈×C₅₃	—	4	4	no	—
963	Q₈×C₅₃	—	4	4	no	—
964	Q₈×C₅₃	—	4	4	no	—
965	Q₈×C₅₃	—	4	4	no	—
966	Q₈×C₅₃	—	4	1	no	—
967	Q₈×C₅₃	—	4	1	no	—
968	Q₈×C₅₃	—	4	4	no	—
969	Q₈×C₅₃	—	4	2	no	—
970	Q₈×C₅₃	—	4	4	no	—
971	Q₈×C₅₃	—	4	2	no	—
972	Q₈×C₅₃	—	4	2	no	—
973	Q₈×C₅₃	—	4	1	no	—
974	Q₈×C₅₃	—	4	1	no	—
975	D₄×C₅₃	—	2	2	no	—
976	D₄×C₅₃	—	4	2	no	—
977	D₄×C₅₃	—	4	2	no	—
978	D₄×C₅₃	—	4	4	no	—
979	D₄×C₅₃	—	4	1	no	—
980	D₄×C₅₃	—	4	1	no	—
981	D₄×C₅₃	—	4	4	no	—
982	D₄×C₅₃	—	4	2	no	—
983	D₄×C₅₃	—	4	2	no	—
984	D₄×C₅₃	—	4	2	no	—
985	D₄×C₅₃	—	4	2	no	—
986	D₄×C₅₃	—	4	2	no	—
987	D₄×C₅₃	—	4	2	no	—
988	D₄×C₅₃	—	4	4	no	—
989	D₄×C₅₃	—	4	2	no	—
990	D₄×C₅₃	—	4	1	no	—
991	D₄×C₅₃	—	4	1	no	—
992	D₄×C₅₃	—	4	2	no	—
993	D₄×C₅₃	—	4	2	no	—
994	D₄×C₅₃	—	4	2	no	—
995	D₄×C₅₃	—	4	2	no	—
996	D₄×C₅₃	—	4	4	no	—
997	D₄×C₅₃	—	4	2	no	—
998	C₂×C₄×C₅₃	—	2	4	no	—
999	C₂×C₄×C₅₃	—	2	4	no	—
1000	C₂×C₄×C₅₃	—	2	4	no	—
1001	C₂×C₄×C₅₃	—	2	4	no	—
1002	C₂×C₄×C₅₃	—	2	2	no	—
1003	C₂×C₄×C₅₃	—	4	2	no	—
1004	C₂×C₄×C₅₃	—	4	2	no	—
1005	C₂×C₄×C₅₃	—	4	2	no	—
1006	C₂×C₄×C₅₃	—	4	4	no	—
1007	C₂×C₄×C₅₃	—	4	2	no	—
1008	C₂×C₄×C₅₃	—	4	4	no	—
1009	C₂×C₄×C₅₃	—	4	4	no	—
1010	C₂×C₄×C₅₃	—	4	2	no	—
1011	C₂×C₄×C₅₃	—	4	2	no	—
1012	C₂×C₄×C₅₃	—	4	2	no	—
1013	C₂×C₄×C₅₃	—	4	4	no	—
1014	C₂×C₄×C₅₃	—	4	4	no	—
1015	C₂×C₄×C₅₃	—	4	2	no	—
1016	C₂×C₄×C₅₃	—	4	1	no	—
1017	C₂×C₄×C₅₃	—	4	1	no	—
1018	C₂×C₄×C₅₃	—	4	4	no	—
1019	C₂×C₄×C₅₃	—	4	2	no	—
1020	C₂×C₄×C₅₃	—	4	4	no	—
1021	C₂×C₄×C₅₃	—	4	4	no	—
1022	C₂×C₄×C₅₃	—	4	4	no	—
1023	C₂×C₄×C₅₃	—	4	4	no	—
1024	C₂×C₄×C₅₃	—	4	2	no	—
1025	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1026	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1027	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1028	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1029	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1030	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1031	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1032	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1033	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1034	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1035	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1036	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1037	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1038	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1039	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1040	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1041	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1042	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1043	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1044	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1045	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1046	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1047	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1048	#63053	C₅₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
1049	C₂²×C₅₃	—	2	2	no	—
1050	C₂²×C₅₃	—	2	2	no	—
1051	C₂²×C₅₃	—	2	2	no	—
1052	C₂²×C₅₃	—	2	2	no	—
1053	C₂²×C₅₃	—	2	1	no	—
1054	C₂²×C₅₃	—	2	2	no	—
1055	C₂²×C₅₃	—	2	2	no	—
1056	C₂²×C₅₃	—	2	1	no	—
1057	C₂²×C₅₃	—	2	1	no	—
1058	C₂²×C₅₃	—	2	2	no	—
1059	C₂²×C₅₃	—	2	2	no	—
1060	C₂²×C₅₃	—	2	2	no	—
1061	C₂²×C₅₃	—	2	2	no	—
1062	C₂²×C₅₃	—	2	2	no	—
1063	C₂²×C₅₃	—	2	2	no	—
1064	C₂²×C₅₃	—	2	2	no	—
1065	C₂²×C₅₃	—	2	2	no	—
1066	C₂²×C₅₃	—	2	2	no	—
1067	C₂²×C₅₃	—	8	4	no	—
1068	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1069	C₄×C₅₃	—	2	2	no	—
1070	C₄×C₅₃	—	2	1	no	—
1071	C₄×C₅₃	—	2	2	no	—
1072	C₄×C₅₃	—	2	2	no	—
1073	C₄×C₅₃	—	2	2	no	—
1074	C₄×C₅₃	—	2	2	no	—
1075	C₄×C₅₃	—	2	4	no	—
1076	C₄×C₅₃	—	2	4	no	—
1077	C₄×C₅₃	—	2	2	no	—
1078	C₄×C₅₃	—	2	2	no	—
1079	C₄×C₅₃	—	2	1	no	—
1080	C₄×C₅₃	—	2	4	no	—
1081	C₄×C₅₃	—	2	4	no	—
1082	C₄×C₅₃	—	2	1	no	—
1083	C₄×C₅₃	—	2	4	no	—
1084	C₄×C₅₃	—	2	2	no	—
1085	C₄×C₅₃	—	2	1	no	—
1086	C₄×C₅₃	—	2	1	no	—
1087	C₄×C₅₃	—	2	2	no	—
1088	C₄×C₅₃	—	2	2	no	—
1089	C₄×C₅₃	—	2	4	no	—
1090	C₄×C₅₃	—	2	2	no	—
1091	C₄×C₅₃	#585	1	2	yes	—
1092	#3568	C₂×C₅₃	1	2	yes	complemented
1093	#3566	C₂×C₅₃	1	4	yes	complemented
1094	#3566	C₂×C₅₃	1	4	yes	complemented
1095	#3566	C₂×C₅₃	1	4	yes	complemented
1096	#3565	C₂×C₅₃	1	2	yes	complemented
1097	#3565	C₂×C₅₃	1	4	yes	complemented
1098	#3565	C₂×C₅₃	1	4	yes	complemented
1099	#3563	C₂×C₅₃	1	1	yes	characteristic, complemented
1100	#3563	C₂×C₅₃	1	1	yes	characteristic, complemented
1101	#3563	C₂×C₅₃	1	2	yes	complemented
1102	#3555	C₂×C₅₃	1	4	yes	complemented
1103	#3555	C₂×C₅₃	1	2	yes	complemented
1104	#3553	C₂×C₅₃	1	2	yes	complemented
1105	#3550	C₂×C₅₃	1	1	yes	characteristic, complemented
1106	#3547	C₂×C₅₃	1	2	yes	complemented
1107	#3541	C₂×C₅₃	1	2	yes	complemented
1108	#3541	C₂×C₅₃	1	2	yes	complemented
1109	#3538	C₂×C₅₃	1	2	yes	complemented
1110	#3531	C₂×C₅₃	1	2	yes	complemented
1111	#3529	C₂×C₅₃	1	1	yes	characteristic, complemented
1112	#3523	C₂×C₅₃	1	2	yes	complemented
1113	#3518	C₂×C₅₃	1	1	yes	characteristic, complemented
1114	#3516	C₂×C₅₃	1	2	yes	complemented
1115	#3515	C₂×C₅₃	1	1	yes	characteristic, complemented
1116	#3512	C₂×C₅₃	1	1	yes	characteristic, complemented
1117	#3507	C₂×C₅₃	1	2	yes	complemented
1118	#3495	C₂×C₅₃	1	2	yes	complemented
1119	#3495	C₂×C₅₃	1	2	yes	complemented
1120	#3493	C₂×C₅₃	1	2	yes	complemented
1121	C₂×C₅₃	—	4	2	no	—
1122	C₂×C₅₃	—	4	1	no	—
1123	C₂×C₅₃	—	4	2	no	—
1124	C₂×C₅₃	—	4	2	no	—
1125	C₂×C₅₃	—	4	2	no	—
1126	C₂×C₅₃	—	4	2	no	—
1127	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1128	C₂×C₅₃	2₋¹⁺⁶	1	1	yes	characteristic
1129	C₂×C₅₃	2₋¹⁺⁶	1	1	yes	characteristic
1130	#564	C₂²×C₅₃	1	2	yes	complemented
1131	#564	C₂²×C₅₃	1	2	yes	complemented
1132	#563	C₂²×C₅₃	1	2	yes	—
1133	#563	C₂²×C₅₃	1	1	yes	characteristic
1134	#563	C₂²×C₅₃	1	2	yes	—
1135	#563	C₂²×C₅₃	1	4	yes	—
1136	#563	C₂²×C₅₃	1	2	yes	—
1137	#563	C₂²×C₅₃	1	2	yes	—
1138	#563	C₂²×C₅₃	1	4	yes	complemented
1139	#563	C₂²×C₅₃	1	4	yes	complemented
1140	#563	C₂²×C₅₃	1	2	yes	complemented
1141	#563	C₂²×C₅₃	1	4	yes	complemented
1142	#563	C₂²×C₅₃	1	4	yes	complemented
1143	#563	C₂²×C₅₃	1	4	yes	complemented
1144	#563	C₂²×C₅₃	1	4	yes	complemented
1145	#562	C₂²×C₅₃	1	1	yes	characteristic
1146	#562	C₂²×C₅₃	1	1	yes	characteristic
1147	#562	C₂²×C₅₃	1	2	yes	—
1148	#562	C₂²×C₅₃	1	2	yes	—
1149	#562	C₂²×C₅₃	1	4	yes	—
1150	#562	C₂²×C₅₃	1	4	yes	—
1151	#562	C₂²×C₅₃	1	4	yes	—
1152	#562	C₂²×C₅₃	1	4	yes	complemented
1153	#562	C₂²×C₅₃	1	4	yes	complemented
1154	H(3,𝔽₄)	C₂²×C₅₃	1	1	yes	characteristic
1155	#560	C₂²×C₅₃	1	2	yes	—
1156	#560	C₂²×C₅₃	1	2	yes	—
1157	#560	C₂²×C₅₃	1	2	yes	—
1158	#559	C₂²×C₅₃	1	4	yes	—
1159	#559	C₂²×C₅₃	1	2	yes	—
1160	Q₈²	C₂²×C₅₃	1	1	yes	characteristic, complemented
1161	Q₈²	C₂²×C₅₃	1	2	yes	complemented
1162	#557	C₂²×C₅₃	1	4	yes	complemented
1163	#557	C₂²×C₅₃	1	1	yes	characteristic, complemented
1164	#557	C₂²×C₅₃	1	2	yes	complemented
1165	#557	C₂²×C₅₃	1	4	yes	complemented
1166	#557	C₂²×C₅₃	1	2	yes	complemented
1167	#557	C₂²×C₅₃	1	4	yes	complemented
1168	#556	C₂²×C₅₃	1	2	yes	—
1169	#556	C₂²×C₅₃	1	2	yes	—
1170	#556	C₂²×C₅₃	1	4	yes	—
1171	#556	C₂²×C₅₃	1	4	yes	—
1172	#556	C₂²×C₅₃	1	4	yes	—
1173	#556	C₂²×C₅₃	1	2	yes	complemented
1174	#556	C₂²×C₅₃	1	4	yes	complemented
1175	#556	C₂²×C₅₃	1	2	yes	complemented
1176	#556	C₂²×C₅₃	1	2	yes	complemented
1177	#556	C₂²×C₅₃	1	2	yes	complemented
1178	#556	C₂²×C₅₃	1	4	yes	complemented
1179	#556	C₂²×C₅₃	1	1	yes	characteristic, complemented
1180	#556	C₂²×C₅₃	1	4	yes	complemented
1181	#556	C₂²×C₅₃	1	4	yes	complemented
1182	#556	C₂²×C₅₃	1	2	yes	complemented
1183	#556	C₂²×C₅₃	1	4	yes	complemented
1184	#555	C₂²×C₅₃	1	1	yes	characteristic
1185	#555	C₂²×C₅₃	1	4	yes	—
1186	#555	C₂²×C₅₃	1	2	yes	—
1187	#555	C₂²×C₅₃	1	2	yes	complemented
1188	#555	C₂²×C₅₃	1	4	yes	complemented
1189	#554	C₂²×C₅₃	1	1	yes	characteristic
1190	#554	C₂²×C₅₃	1	2	yes	—
1191	#554	C₂²×C₅₃	1	2	yes	complemented
1192	#554	C₂²×C₅₃	1	2	yes	complemented
1193	#554	C₂²×C₅₃	1	2	yes	complemented
1194	#554	C₂²×C₅₃	1	1	yes	characteristic, complemented
1195	#554	C₂²×C₅₃	1	4	yes	complemented
1196	#554	C₂²×C₅₃	1	4	yes	complemented
1197	#554	C₂²×C₅₃	1	4	yes	complemented
1198	#553	C₂²×C₅₃	1	2	yes	—
1199	#553	C₂²×C₅₃	1	4	yes	—
1200	#553	C₂²×C₅₃	1	2	yes	—
1201	#553	C₂²×C₅₃	1	4	yes	—
1202	#553	C₂²×C₅₃	1	4	yes	—
1203	#553	C₂²×C₅₃	1	4	yes	—
1204	#553	C₂²×C₅₃	1	2	yes	complemented
1205	#553	C₂²×C₅₃	1	2	yes	complemented
1206	#553	C₂²×C₅₃	1	4	yes	complemented
1207	#553	C₂²×C₅₃	1	4	yes	complemented
1208	#553	C₂²×C₅₃	1	4	yes	complemented
1209	#552	C₂²×C₅₃	1	2	yes	—
1210	#552	C₂²×C₅₃	1	2	yes	—
1211	#552	C₂²×C₅₃	1	2	yes	—
1212	#552	C₂²×C₅₃	1	2	yes	—
1213	#552	C₂²×C₅₃	1	4	yes	—
1214	#552	C₂²×C₅₃	1	4	yes	—
1215	#552	C₂²×C₅₃	1	2	yes	complemented
1216	#552	C₂²×C₅₃	1	4	yes	complemented
1217	#552	C₂²×C₅₃	1	2	yes	complemented
1218	#552	C₂²×C₅₃	1	2	yes	complemented
1219	#552	C₂²×C₅₃	1	2	yes	complemented
1220	#552	C₂²×C₅₃	1	2	yes	complemented
1221	#552	C₂²×C₅₃	1	4	yes	complemented
1222	#552	C₂²×C₅₃	1	4	yes	complemented
1223	#552	C₂²×C₅₃	1	2	yes	complemented
1224	#552	C₂²×C₅₃	1	2	yes	complemented
1225	#552	C₂²×C₅₃	1	2	yes	complemented
1226	#552	C₂²×C₅₃	1	4	yes	complemented
1227	#552	C₂²×C₅₃	1	2	yes	complemented
1228	#552	C₂²×C₅₃	1	4	yes	complemented
1229	#552	C₂²×C₅₃	1	4	yes	complemented
1230	#552	C₂²×C₅₃	1	4	yes	complemented
1231	#552	C₂²×C₅₃	1	4	yes	complemented
1232	#552	C₂²×C₅₃	1	4	yes	complemented
1233	#552	C₂²×C₅₃	1	4	yes	complemented
1234	#551	C₂²×C₅₃	1	4	yes	—
1235	#551	C₂²×C₅₃	1	4	yes	—
1236	#551	C₂²×C₅₃	1	4	yes	—
1237	#551	C₂²×C₅₃	1	4	yes	complemented
1238	#551	C₂²×C₅₃	1	4	yes	complemented
1239	#551	C₂²×C₅₃	1	4	yes	complemented
1240	D₄×Q₈	C₂²×C₅₃	1	1	yes	characteristic
1241	D₄×Q₈	C₂²×C₅₃	1	2	yes	—
1242	D₄×Q₈	C₂²×C₅₃	1	2	yes	complemented
1243	D₄×Q₈	C₂²×C₅₃	1	2	yes	complemented
1244	D₄×Q₈	C₂²×C₅₃	1	2	yes	complemented
1245	#548	C₂²×C₅₃	1	2	yes	—
1246	#548	C₂²×C₅₃	1	2	yes	complemented
1247	#548	C₂²×C₅₃	1	2	yes	complemented
1248	#547	C₂²×C₅₃	1	1	yes	characteristic
1249	#547	C₂²×C₅₃	1	2	yes	complemented
1250	#544	C₂²×C₅₃	1	2	yes	complemented
1251	#544	C₂²×C₅₃	1	2	yes	complemented
1252	#544	C₂²×C₅₃	1	2	yes	complemented
1253	#544	C₂²×C₅₃	1	4	yes	complemented
1254	#544	C₂²×C₅₃	1	4	yes	complemented
1255	#544	C₂²×C₅₃	1	4	yes	complemented
1256	#544	C₂²×C₅₃	1	2	yes	complemented
1257	#544	C₂²×C₅₃	1	2	yes	complemented
1258	#542	C₂²×C₅₃	1	4	yes	—
1259	#542	C₂²×C₅₃	1	4	yes	—
1260	#542	C₂²×C₅₃	1	4	yes	—
1261	#542	C₂²×C₅₃	1	4	yes	—
1262	#542	C₂²×C₅₃	1	4	yes	—
1263	#542	C₂²×C₅₃	1	4	yes	—
1264	#542	C₂²×C₅₃	1	4	yes	—
1265	#542	C₂²×C₅₃	1	2	yes	complemented
1266	#542	C₂²×C₅₃	1	2	yes	complemented
1267	#542	C₂²×C₅₃	1	4	yes	complemented
1268	#542	C₂²×C₅₃	1	4	yes	complemented
1269	#542	C₂²×C₅₃	1	4	yes	complemented
1270	#542	C₂²×C₅₃	1	4	yes	complemented
1271	#542	C₂²×C₅₃	1	4	yes	complemented
1272	#542	C₂²×C₅₃	1	4	yes	complemented
1273	#541	C₂²×C₅₃	1	4	yes	complemented
1274	#541	C₂²×C₅₃	1	4	yes	complemented
1275	#541	C₂²×C₅₃	1	2	yes	complemented
1276	#541	C₂²×C₅₃	1	2	yes	complemented
1277	#541	C₂²×C₅₃	1	2	yes	complemented
1278	#541	C₂²×C₅₃	1	4	yes	complemented
1279	#541	C₂²×C₅₃	1	2	yes	complemented
1280	#541	C₂²×C₅₃	1	2	yes	complemented
1281	#541	C₂²×C₅₃	1	4	yes	complemented
1282	#541	C₂²×C₅₃	1	4	yes	complemented
1283	#541	C₂²×C₅₃	1	4	yes	complemented
1284	#541	C₂²×C₅₃	1	4	yes	complemented
1285	#541	C₂²×C₅₃	1	4	yes	complemented
1286	#541	C₂²×C₅₃	1	4	yes	complemented
1287	#541	C₂²×C₅₃	1	4	yes	complemented
1288	#541	C₂²×C₅₃	1	4	yes	complemented
1289	#540	C₂²×C₅₃	1	2	yes	—
1290	#540	C₂²×C₅₃	1	4	yes	—
1291	#539	C₂²×C₅₃	1	4	yes	—
1292	#539	C₂²×C₅₃	1	4	yes	—
1293	#539	C₂²×C₅₃	1	4	yes	—
1294	#539	C₂²×C₅₃	1	2	yes	—
1295	#539	C₂²×C₅₃	1	2	yes	—
1296	#539	C₂²×C₅₃	1	4	yes	complemented
1297	#539	C₂²×C₅₃	1	4	yes	complemented
1298	#539	C₂²×C₅₃	1	4	yes	complemented
1299	#539	C₂²×C₅₃	1	4	yes	complemented
1300	#539	C₂²×C₅₃	1	4	yes	complemented
1301	#538	C₂²×C₅₃	1	4	yes	—
1302	#538	C₂²×C₅₃	1	4	yes	—
1303	#538	C₂²×C₅₃	1	4	yes	—
1304	#538	C₂²×C₅₃	1	4	yes	complemented
1305	#538	C₂²×C₅₃	1	4	yes	complemented
1306	#538	C₂²×C₅₃	1	4	yes	complemented
1307	#537	C₂²×C₅₃	1	2	yes	—
1308	#537	C₂²×C₅₃	1	1	yes	characteristic
1309	#537	C₂²×C₅₃	1	1	yes	characteristic, complemented
1310	#536	C₂²×C₅₃	1	2	yes	—
1311	#536	C₂²×C₅₃	1	2	yes	—
1312	#536	C₂²×C₅₃	1	2	yes	—
1313	#536	C₂²×C₅₃	1	2	yes	complemented
1314	#533	C₂²×C₅₃	1	4	yes	complemented
1315	#533	C₂²×C₅₃	1	4	yes	complemented
1316	#533	C₂²×C₅₃	1	2	yes	complemented
1317	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
1318	#533	C₂²×C₅₃	1	2	yes	complemented
1319	#533	C₂²×C₅₃	1	1	yes	characteristic, complemented
1320	#533	C₂²×C₅₃	1	4	yes	complemented
1321	#533	C₂²×C₅₃	1	2	yes	complemented
1322	#532	C₂²×C₅₃	1	2	yes	—
1323	#532	C₂²×C₅₃	1	1	yes	characteristic
1324	#529	C₂²×C₅₃	1	4	yes	—
1325	#529	C₂²×C₅₃	1	4	yes	—
1326	#529	C₂²×C₅₃	1	4	yes	—
1327	#529	C₂²×C₅₃	1	2	yes	—
1328	#529	C₂²×C₅₃	1	1	yes	characteristic
1329	#529	C₂²×C₅₃	1	2	yes	—
1330	#529	C₂²×C₅₃	1	2	yes	—
1331	#529	C₂²×C₅₃	1	1	yes	characteristic
1332	#529	C₂²×C₅₃	1	2	yes	—
1333	#529	C₂²×C₅₃	1	2	yes	—
1334	#529	C₂²×C₅₃	1	4	yes	—
1335	#529	C₂²×C₅₃	1	4	yes	complemented
1336	#529	C₂²×C₅₃	1	4	yes	complemented
1337	#529	C₂²×C₅₃	1	4	yes	complemented
1338	#529	C₂²×C₅₃	1	2	yes	complemented
1339	#529	C₂²×C₅₃	1	4	yes	complemented
1340	#529	C₂²×C₅₃	1	2	yes	complemented
1341	#529	C₂²×C₅₃	1	4	yes	complemented
1342	C₂×#125	C₂²×C₅₃	1	1	yes	characteristic, complemented
1343	C₂×#125	C₂²×C₅₃	1	2	yes	complemented
1344	#525	C₂²×C₅₃	1	2	yes	—
1345	#525	C₂²×C₅₃	1	2	yes	—
1346	#525	C₂²×C₅₃	1	2	yes	—
1347	#525	C₂²×C₅₃	1	2	yes	complemented
1348	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	2	yes	complemented
1349	C₂×C₂²⋊Q₈	C₂²×C₅₃	1	2	yes	complemented
1350	#520	C₂²×C₅₃	1	2	yes	—
1351	#520	C₂²×C₅₃	1	1	yes	characteristic
1352	#520	C₂²×C₅₃	1	2	yes	complemented
1353	#520	C₂²×C₅₃	1	1	yes	characteristic, complemented
1354	#519	C₂²×C₅₃	1	2	yes	complemented
1355	#519	C₂²×C₅₃	1	2	yes	complemented
1356	C₄×#41	C₂²×C₅₃	1	1	yes	characteristic, complemented
1357	C₂×C₄×Q₈	C₂²×C₅₃	1	2	yes	complemented
1358	C₂×#117	C₂²×C₅₃	1	2	yes	complemented
1359	C₅₃	#63053	1	1	yes	characteristic, direct product factor, Sylow
1360	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1361	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1362	C₂×#41	C₂³×C₅₃	1	2	yes	—
1363	C₂×#41	C₂³×C₅₃	1	2	yes	—
1364	C₂×#41	C₂³×C₅₃	1	1	yes	characteristic
1365	C₂²×Q₈	C₂³×C₅₃	1	2	yes	—
1366	C₂²×Q₈	C₂³×C₅₃	1	2	yes	—
1367	C₂²×Q₈	C₂³×C₅₃	1	2	yes	—
1368	C₂³×C₄	C₂³×C₅₃	1	2	yes	—
1369	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1370	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1371	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1372	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1373	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1374	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1375	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1376	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1377	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1378	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1379	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1380	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1381	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1382	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1383	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1384	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1385	C₄⋊Q₈	C₂³×C₅₃	1	2	yes	—
1386	C₄⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1387	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1388	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1389	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1390	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1391	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1392	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1393	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1394	C₄⋊Q₈	C₂³×C₅₃	1	4	yes	—
1395	#127	C₂³×C₅₃	1	2	yes	—
1396	#127	C₂³×C₅₃	1	1	yes	characteristic
1397	#126	C₂³×C₅₃	1	4	yes	—
1398	#126	C₂³×C₅₃	1	4	yes	—
1399	#126	C₂³×C₅₃	1	4	yes	—
1400	#126	C₂³×C₅₃	1	4	yes	—
1401	#126	C₂³×C₅₃	1	4	yes	—
1402	#126	C₂³×C₅₃	1	4	yes	—
1403	#126	C₂³×C₅₃	1	4	yes	—
1404	#126	C₂³×C₅₃	1	4	yes	—
1405	#126	C₂³×C₅₃	1	4	yes	—
1406	#126	C₂³×C₅₃	1	4	yes	—
1407	#126	C₂³×C₅₃	1	2	yes	—
1408	#126	C₂³×C₅₃	1	2	yes	—
1409	#126	C₂³×C₅₃	1	2	yes	—
1410	#126	C₂³×C₅₃	1	4	yes	—
1411	#126	C₂³×C₅₃	1	2	yes	—
1412	#126	C₂³×C₅₃	1	2	yes	—
1413	#126	C₂³×C₅₃	1	2	yes	—
1414	#126	C₂³×C₅₃	1	4	yes	—
1415	#126	C₂³×C₅₃	1	4	yes	—
1416	#126	C₂³×C₅₃	1	4	yes	—
1417	#126	C₂³×C₅₃	1	4	yes	—
1418	#126	C₂³×C₅₃	1	4	yes	—
1419	#126	C₂³×C₅₃	1	4	yes	—
1420	#126	C₂³×C₅₃	1	4	yes	—
1421	#126	C₂³×C₅₃	1	4	yes	—
1422	#126	C₂³×C₅₃	1	4	yes	—
1423	#126	C₂³×C₅₃	1	4	yes	—
1424	#126	C₂³×C₅₃	1	4	yes	—
1425	#126	C₂³×C₅₃	1	4	yes	—
1426	#126	C₂³×C₅₃	1	4	yes	—
1427	#126	C₂³×C₅₃	1	4	yes	—
1428	#126	C₂³×C₅₃	1	4	yes	—
1429	#126	C₂³×C₅₃	1	4	yes	—
1430	#126	C₂³×C₅₃	1	4	yes	—
1431	#126	C₂³×C₅₃	1	4	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	4	yes	—
1440	#126	C₂³×C₅₃	1	4	yes	—
1441	#126	C₂³×C₅₃	1	4	yes	—
1442	#125	C₂³×C₅₃	1	1	yes	characteristic
1443	#125	C₂³×C₅₃	1	2	yes	—
1444	#125	C₂³×C₅₃	1	2	yes	—
1445	#125	C₂³×C₅₃	1	4	yes	—
1446	#125	C₂³×C₅₃	1	4	yes	—
1447	#125	C₂³×C₅₃	1	2	yes	—
1448	#125	C₂³×C₅₃	1	2	yes	—
1449	#125	C₂³×C₅₃	1	2	yes	—
1450	#125	C₂³×C₅₃	1	2	yes	—
1451	#125	C₂³×C₅₃	1	2	yes	—
1452	#125	C₂³×C₅₃	1	1	yes	characteristic
1453	#125	C₂³×C₅₃	1	2	yes	—
1454	#125	C₂³×C₅₃	1	4	yes	—
1455	#125	C₂³×C₅₃	1	4	yes	—
1456	#125	C₂³×C₅₃	1	4	yes	—
1457	#125	C₂³×C₅₃	1	2	yes	—
1458	#125	C₂³×C₅₃	1	2	yes	—
1459	#125	C₂³×C₅₃	1	4	yes	—
1460	#125	C₂³×C₅₃	1	4	yes	—
1461	#125	C₂³×C₅₃	1	4	yes	—
1462	#125	C₂³×C₅₃	1	4	yes	—
1463	#125	C₂³×C₅₃	1	4	yes	—
1464	#125	C₂³×C₅₃	1	2	yes	—
1465	#125	C₂³×C₅₃	1	4	yes	—
1466	#125	C₂³×C₅₃	1	4	yes	—
1467	#125	C₂³×C₅₃	1	4	yes	—
1468	#125	C₂³×C₅₃	1	4	yes	—
1469	#125	C₂³×C₅₃	1	4	yes	—
1470	#125	C₂³×C₅₃	1	4	yes	—
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	2	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	4	yes	—
1480	#125	C₂³×C₅₃	1	4	yes	—
1481	#125	C₂³×C₅₃	1	4	yes	—
1482	#125	C₂³×C₅₃	1	4	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	#124	C₂³×C₅₃	1	1	yes	characteristic
1491	#124	C₂³×C₅₃	1	1	yes	characteristic
1492	#124	C₂³×C₅₃	1	1	yes	characteristic
1493	#124	C₂³×C₅₃	1	4	yes	—
1494	#124	C₂³×C₅₃	1	4	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	4	yes	—
1501	#124	C₂³×C₅₃	1	4	yes	—
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	2	yes	—
1507	#124	C₂³×C₅₃	1	2	yes	—
1508	#124	C₂³×C₅₃	1	4	yes	—
1509	#124	C₂³×C₅₃	1	4	yes	—
1510	#124	C₂³×C₅₃	1	4	yes	—
1511	#124	C₂³×C₅₃	1	4	yes	—
1512	#124	C₂³×C₅₃	1	4	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	#123	C₂³×C₅₃	1	2	yes	—
1518	#123	C₂³×C₅₃	1	2	yes	—
1519	#123	C₂³×C₅₃	1	2	yes	—
1520	#123	C₂³×C₅₃	1	2	yes	—
1521	#123	C₂³×C₅₃	1	2	yes	—
1522	#123	C₂³×C₅₃	1	2	yes	—
1523	#123	C₂³×C₅₃	1	4	yes	—
1524	#123	C₂³×C₅₃	1	2	yes	—
1525	#123	C₂³×C₅₃	1	2	yes	—
1526	#123	C₂³×C₅₃	1	4	yes	—
1527	#123	C₂³×C₅₃	1	4	yes	—
1528	#123	C₂³×C₅₃	1	4	yes	—
1529	#123	C₂³×C₅₃	1	4	yes	—
1530	#123	C₂³×C₅₃	1	4	yes	—
1531	#123	C₂³×C₅₃	1	4	yes	—
1532	#123	C₂³×C₅₃	1	2	yes	—
1533	#123	C₂³×C₅₃	1	2	yes	—
1534	#123	C₂³×C₅₃	1	4	yes	—
1535	#123	C₂³×C₅₃	1	4	yes	—
1536	#123	C₂³×C₅₃	1	4	yes	—
1537	#123	C₂³×C₅₃	1	2	yes	—
1538	#123	C₂³×C₅₃	1	2	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	4	yes	—
1546	#123	C₂³×C₅₃	1	4	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	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	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1560	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1561	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1562	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1563	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1564	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1565	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1566	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1567	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1568	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1569	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1570	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1571	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1572	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1573	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1574	C₂²⋊Q₈	C₂³×C₅₃	1	2	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	2	yes	—
1580	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1581	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1582	C₂²⋊Q₈	C₂³×C₅₃	1	4	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	1	yes	characteristic
1587	C₂²⋊Q₈	C₂³×C₅₃	1	1	yes	characteristic
1588	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1589	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1590	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1591	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1592	C₂²⋊Q₈	C₂³×C₅₃	1	4	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	2	yes	—
1597	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1598	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1599	C₂²⋊Q₈	C₂³×C₅₃	1	2	yes	—
1600	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1601	C₂²⋊Q₈	C₂³×C₅₃	1	4	yes	—
1602	C₂²⋊Q₈	C₂³×C₅₃	1	4	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	4	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	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	#121	C₂³×C₅₃	1	2	yes	—
1629	#121	C₂³×C₅₃	1	2	yes	—
1630	#121	C₂³×C₅₃	1	2	yes	—
1631	#121	C₂³×C₅₃	1	2	yes	—
1632	#121	C₂³×C₅₃	1	2	yes	—
1633	#121	C₂³×C₅₃	1	2	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	2	yes	—
1638	#121	C₂³×C₅₃	1	4	yes	—
1639	#121	C₂³×C₅₃	1	2	yes	—
1640	#121	C₂³×C₅₃	1	2	yes	—
1641	#121	C₂³×C₅₃	1	1	yes	characteristic
1642	#121	C₂³×C₅₃	1	1	yes	characteristic
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	4	yes	—
1648	#121	C₂³×C₅₃	1	2	yes	—
1649	#121	C₂³×C₅₃	1	4	yes	—
1650	#121	C₂³×C₅₃	1	4	yes	—
1651	#121	C₂³×C₅₃	1	2	yes	—
1652	#121	C₂³×C₅₃	1	2	yes	—
1653	#121	C₂³×C₅₃	1	2	yes	—
1654	#121	C₂³×C₅₃	1	2	yes	—
1655	#121	C₂³×C₅₃	1	4	yes	—
1656	#121	C₂³×C₅₃	1	4	yes	—
1657	#121	C₂³×C₅₃	1	4	yes	—
1658	#121	C₂³×C₅₃	1	4	yes	—
1659	#121	C₂³×C₅₃	1	4	yes	—
1660	#121	C₂³×C₅₃	1	4	yes	—
1661	#121	C₂³×C₅₃	1	4	yes	—
1662	#121	C₂³×C₅₃	1	4	yes	—
1663	#121	C₂³×C₅₃	1	4	yes	—
1664	#120	C₂³×C₅₃	1	2	yes	—
1665	#120	C₂³×C₅₃	1	2	yes	—
1666	#120	C₂³×C₅₃	1	2	yes	—
1667	#120	C₂³×C₅₃	1	2	yes	—
1668	#120	C₂³×C₅₃	1	2	yes	—
1669	#120	C₂³×C₅₃	1	2	yes	—
1670	#120	C₂³×C₅₃	1	4	yes	—
1671	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1672	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1673	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1674	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1675	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1676	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1677	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1678	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1679	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1680	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1681	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1682	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1683	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1684	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1685	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1686	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1687	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1688	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1689	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1690	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1691	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1692	C₄×Q₈	C₂³×C₅₃	1	1	yes	characteristic
1693	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1694	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1695	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1696	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1697	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1698	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1699	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1700	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1701	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1702	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1703	C₄×Q₈	C₂³×C₅₃	1	2	yes	—
1704	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1705	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1706	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1707	C₄×Q₈	C₂³×C₅₃	1	4	yes	—
1708	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1709	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1710	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1711	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1712	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1713	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1714	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1715	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1716	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1717	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1718	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1719	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1720	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1721	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1722	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1723	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1724	C₄×D₄	C₂³×C₅₃	1	1	yes	characteristic
1725	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1726	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1727	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1728	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1729	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1730	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1731	C₄×D₄	C₂³×C₅₃	1	2	yes	—
1732	C₄×D₄	C₂³×C₅₃	1	4	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	4	yes	—
1737	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1738	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1739	C₄×D₄	C₂³×C₅₃	1	4	yes	—
1740	C₄×D₄	C₂³×C₅₃	1	4	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	4	yes	—
1747	C₄×D₄	C₂³×C₅₃	1	4	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	#117	C₂³×C₅₃	1	2	yes	—
1752	#117	C₂³×C₅₃	1	2	yes	—
1753	#117	C₂³×C₅₃	1	2	yes	—
1754	#117	C₂³×C₅₃	1	2	yes	—
1755	#117	C₂³×C₅₃	1	4	yes	—
1756	#117	C₂³×C₅₃	1	4	yes	—
1757	#117	C₂³×C₅₃	1	1	yes	characteristic
1758	#117	C₂³×C₅₃	1	2	yes	—
1759	#117	C₂³×C₅₃	1	2	yes	—
1760	#117	C₂³×C₅₃	1	2	yes	—
1761	#117	C₂³×C₅₃	1	4	yes	—
1762	#117	C₂³×C₅₃	1	4	yes	—
1763	#117	C₂³×C₅₃	1	4	yes	—
1764	#117	C₂³×C₅₃	1	4	yes	—
1765	#117	C₂³×C₅₃	1	2	yes	—
1766	#117	C₂³×C₅₃	1	2	yes	—
1767	#117	C₂³×C₅₃	1	2	yes	—
1768	#117	C₂³×C₅₃	1	4	yes	—
1769	#117	C₂³×C₅₃	1	2	yes	—
1770	#117	C₂³×C₅₃	1	4	yes	—
1771	#117	C₂³×C₅₃	1	4	yes	—
1772	#117	C₂³×C₅₃	1	4	yes	—
1773	#117	C₂³×C₅₃	1	4	yes	—
1774	#117	C₂³×C₅₃	1	4	yes	—
1775	#117	C₂³×C₅₃	1	4	yes	—
1776	#117	C₂³×C₅₃	1	4	yes	—
1777	#117	C₂³×C₅₃	1	4	yes	—
1778	#117	C₂³×C₅₃	1	2	yes	—
1779	#117	C₂³×C₅₃	1	2	yes	—
1780	#117	C₂³×C₅₃	1	4	yes	—
1781	#117	C₂³×C₅₃	1	4	yes	—
1782	#117	C₂³×C₅₃	1	4	yes	—
1783	#117	C₂³×C₅₃	1	4	yes	—
1784	#117	C₂³×C₅₃	1	4	yes	—
1785	#117	C₂³×C₅₃	1	4	yes	—
1786	#117	C₂³×C₅₃	1	4	yes	—
1787	#117	C₂³×C₅₃	1	2	yes	—
1788	#117	C₂³×C₅₃	1	2	yes	—
1789	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1790	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1791	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1792	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1793	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1794	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1795	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1796	C₂×C₄⋊C₄	C₂³×C₅₃	1	1	yes	characteristic
1797	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1798	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1799	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1800	C₂×C₄⋊C₄	C₂³×C₅₃	1	4	yes	—
1801	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1802	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1803	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1804	C₂×C₄⋊C₄	C₂³×C₅₃	1	2	yes	—
1805	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1806	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1807	C₂×C₂²⋊C₄	C₂³×C₅₃	1	4	yes	—
1808	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1809	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1810	C₂×C₄²	C₂³×C₅₃	1	4	yes	—
1811	C₂×C₄²	C₂³×C₅₃	1	2	yes	—
1812	C₂×C₄²	C₂³×C₅₃	1	1	yes	characteristic
1813	C₂⁴	C₂⁴×C₅₃	1	2	yes	—
1814	#41	—	4	2	no	—
1815	#41	—	4	4	no	—
1816	#41	—	4	2	no	—
1817	#41	—	4	4	no	—
1818	#41	—	4	2	no	—
1819	C₂×Q₈	—	4	4	no	—
1820	C₂×Q₈	—	4	4	no	—
1821	C₂×Q₈	—	4	4	no	—
1822	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1823	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1824	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1825	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1826	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1827	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1828	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1829	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1830	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1831	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1832	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1833	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1834	C₂×Q₈	C₂⁴×C₅₃	1	2	yes	—
1835	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1836	C₂×Q₈	C₂⁴×C₅₃	1	4	yes	—
1837	C₂×Q₈	C₂⁴×C₅₃	1	1	yes	characteristic
1838	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1839	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1840	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1841	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1842	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1843	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1844	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1845	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1846	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1847	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1848	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1849	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1850	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1851	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1852	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1853	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1854	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1855	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1856	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1857	C₂×D₄	C₂⁴×C₅₃	1	4	yes	—
1858	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1859	C₂×D₄	C₂⁴×C₅₃	1	1	yes	characteristic
1860	C₂×D₄	C₂⁴×C₅₃	1	2	yes	—
1861	C₂²×C₄	—	4	4	no	—
1862	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1863	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1864	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1865	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1866	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1867	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1868	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1869	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1870	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1871	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1872	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1873	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1874	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1875	C₂²×C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1876	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1877	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1878	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1879	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1880	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1881	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1882	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1883	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1884	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1885	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1886	C₂²×C₄	C₂⁴×C₅₃	1	4	yes	—
1887	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1888	C₂²×C₄	C₂⁴×C₅₃	1	2	yes	—
1889	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1890	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1891	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1892	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1893	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1894	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1895	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1896	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1897	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1898	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1899	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1900	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1901	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1902	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1903	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1904	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1905	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1906	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1907	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1908	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1909	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1910	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1911	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1912	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1913	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1914	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1915	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1916	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1917	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1918	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1919	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1920	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1921	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1922	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1923	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1924	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1925	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1926	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1927	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1928	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1929	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1930	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1931	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1932	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1933	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1934	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1935	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1936	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1937	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1938	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1939	C₄⋊C₄	C₂⁴×C₅₃	1	1	yes	characteristic
1940	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1941	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1942	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1943	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1944	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1945	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1946	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1947	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1948	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1949	C₄⋊C₄	C₂⁴×C₅₃	1	4	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	2	yes	—
1956	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1957	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1958	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1959	C₄⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1960	C₄⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1961	C₄⋊C₄	C₂⁴×C₅₃	1	2	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	2	yes	—
1968	C₄⋊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	4	yes	—
1972	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1973	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1974	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1975	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1976	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1977	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1978	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1979	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1980	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1981	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1982	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1983	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1984	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1985	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1986	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1987	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1988	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1989	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1990	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1991	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1992	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1993	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1994	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1995	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1996	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
1997	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1998	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
1999	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2000	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2001	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2002	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2003	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2004	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2005	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2006	C₂²⋊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	4	yes	—
2011	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2012	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2013	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2014	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2015	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2016	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2017	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2018	C₂²⋊C₄	C₂⁴×C₅₃	1	4	yes	—
2019	C₂²⋊C₄	C₂⁴×C₅₃	1	2	yes	—
2020	C₂²⋊C₄	C₂⁴×C₅₃	1	2	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	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2025	C₄²	C₂⁴×C₅₃	1	4	yes	—
2026	C₄²	C₂⁴×C₅₃	1	2	yes	—
2027	C₄²	C₂⁴×C₅₃	1	4	yes	—
2028	C₄²	C₂⁴×C₅₃	1	2	yes	—
2029	C₄²	C₂⁴×C₅₃	1	4	yes	—
2030	C₄²	C₂⁴×C₅₃	1	4	yes	—
2031	C₄²	C₂⁴×C₅₃	1	4	yes	—
2032	C₄²	C₂⁴×C₅₃	1	2	yes	—
2033	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2034	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2035	C₄²	C₂⁴×C₅₃	1	2	yes	—
2036	C₄²	C₂⁴×C₅₃	1	2	yes	—
2037	C₄²	C₂⁴×C₅₃	1	4	yes	—
2038	C₄²	C₂⁴×C₅₃	1	4	yes	—
2039	C₄²	C₂⁴×C₅₃	1	1	yes	characteristic
2040	C₄²	C₂⁴×C₅₃	1	2	yes	—
2041	C₄²	C₂⁴×C₅₃	1	4	yes	—
2042	C₄²	C₂⁴×C₅₃	1	2	yes	—
2043	C₄²	C₂⁴×C₅₃	1	4	yes	—
2044	C₄²	C₂⁴×C₅₃	1	4	yes	—
2045	C₄²	C₂⁴×C₅₃	1	4	yes	—
2046	C₄²	C₂⁴×C₅₃	1	4	yes	—
2047	C₄²	C₂⁴×C₅₃	1	4	yes	—
2048	C₄²	C₂⁴×C₅₃	1	4	yes	—
2049	C₄²	C₂⁴×C₅₃	1	4	yes	—
2050	C₄²	C₂⁴×C₅₃	1	4	yes	—
2051	C₂³	—	4	2	no	—
2052	C₂³	—	4	2	no	—
2053	C₂³	—	4	2	no	—
2054	C₂³	C₂⁵×C₅₃	1	2	yes	—
2055	C₂³	C₂⁵×C₅₃	1	2	yes	—
2056	C₂³	C₂⁵×C₅₃	1	2	yes	—
2057	C₂³	C₂⁵×C₅₃	1	2	yes	—
2058	C₂³	C₂⁵×C₅₃	1	1	yes	characteristic
2059	C₂³	C₂⁵×C₅₃	1	2	yes	—
2060	Q₈	—	2	4	no	—
2061	Q₈	—	2	4	no	—
2062	Q₈	—	2	2	no	—
2063	Q₈	—	4	4	no	—
2064	Q₈	—	4	4	no	—
2065	Q₈	—	4	4	no	—
2066	Q₈	—	4	4	no	—
2067	Q₈	—	4	1	no	—
2068	Q₈	—	4	1	no	—
2069	Q₈	—	4	4	no	—
2070	Q₈	—	4	2	no	—
2071	Q₈	—	4	4	no	—
2072	Q₈	—	4	2	no	—
2073	Q₈	—	4	2	no	—
2074	Q₈	—	4	1	no	—
2075	Q₈	—	4	1	no	—
2076	D₄	—	2	2	no	—
2077	D₄	—	4	2	no	—
2078	D₄	—	4	2	no	—
2079	D₄	—	4	4	no	—
2080	D₄	—	4	1	no	—
2081	D₄	—	4	1	no	—
2082	D₄	—	4	4	no	—
2083	D₄	—	4	2	no	—
2084	D₄	—	4	2	no	—
2085	D₄	—	4	2	no	—
2086	D₄	—	4	2	no	—
2087	D₄	—	4	2	no	—
2088	D₄	—	4	2	no	—
2089	D₄	—	4	4	no	—
2090	D₄	—	4	2	no	—
2091	D₄	—	4	1	no	—
2092	D₄	—	4	1	no	—
2093	D₄	—	4	2	no	—
2094	D₄	—	4	2	no	—
2095	D₄	—	4	2	no	—
2096	D₄	—	4	2	no	—
2097	D₄	—	4	4	no	—
2098	D₄	—	4	2	no	—
2099	C₂×C₄	—	2	4	no	—
2100	C₂×C₄	—	2	4	no	—
2101	C₂×C₄	—	2	4	no	—
2102	C₂×C₄	—	2	4	no	—
2103	C₂×C₄	—	2	2	no	—
2104	C₂×C₄	—	4	2	no	—
2105	C₂×C₄	—	4	2	no	—
2106	C₂×C₄	—	4	2	no	—
2107	C₂×C₄	—	4	4	no	—
2108	C₂×C₄	—	4	2	no	—
2109	C₂×C₄	—	4	4	no	—
2110	C₂×C₄	—	4	4	no	—
2111	C₂×C₄	—	4	2	no	—
2112	C₂×C₄	—	4	2	no	—
2113	C₂×C₄	—	4	2	no	—
2114	C₂×C₄	—	4	4	no	—
2115	C₂×C₄	—	4	4	no	—
2116	C₂×C₄	—	4	2	no	—
2117	C₂×C₄	—	4	1	no	—
2118	C₂×C₄	—	4	1	no	—
2119	C₂×C₄	—	4	4	no	—
2120	C₂×C₄	—	4	2	no	—
2121	C₂×C₄	—	4	4	no	—
2122	C₂×C₄	—	4	4	no	—
2123	C₂×C₄	—	4	4	no	—
2124	C₂×C₄	—	4	4	no	—
2125	C₂×C₄	—	4	2	no	—
2126	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2127	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2128	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2129	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2130	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2131	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2132	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2133	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2134	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2135	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2136	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2137	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2138	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2139	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2140	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2141	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2142	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2143	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2144	C₂×C₄	C₂⁵×C₅₃	1	4	yes	—
2145	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2146	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2147	C₂×C₄	C₂⁵×C₅₃	1	2	yes	—
2148	C₂×C₄	C₂⁵×C₅₃	1	1	yes	characteristic
2149	C₂²	—	2	2	no	—
2150	C₂²	—	2	2	no	—
2151	C₂²	—	2	2	no	—
2152	C₂²	—	2	2	no	—
2153	C₂²	—	2	1	no	—
2154	C₂²	—	2	2	no	—
2155	C₂²	—	2	2	no	—
2156	C₂²	—	2	1	no	—
2157	C₂²	—	2	1	no	—
2158	C₂²	—	2	2	no	—
2159	C₂²	—	2	2	no	—
2160	C₂²	—	2	2	no	—
2161	C₂²	—	2	2	no	—
2162	C₂²	—	2	2	no	—
2163	C₂²	—	2	2	no	—
2164	C₂²	—	2	2	no	—
2165	C₂²	—	2	2	no	—
2166	C₂²	—	2	2	no	—
2167	C₂²	—	8	4	no	—
2168	C₂²	C₂⁶×C₅₃	1	1	yes	characteristic
2169	C₄	—	2	2	no	—
2170	C₄	—	2	1	no	—
2171	C₄	—	2	2	no	—
2172	C₄	—	2	2	no	—
2173	C₄	—	2	2	no	—
2174	C₄	—	2	2	no	—
2175	C₄	—	2	4	no	—
2176	C₄	—	2	4	no	—
2177	C₄	—	2	2	no	—
2178	C₄	—	2	2	no	—
2179	C₄	—	2	1	no	—
2180	C₄	—	2	4	no	—
2181	C₄	—	2	4	no	—
2182	C₄	—	2	1	no	—
2183	C₄	—	2	4	no	—
2184	C₄	—	2	2	no	—
2185	C₄	—	2	1	no	—
2186	C₄	—	2	1	no	—
2187	C₄	—	2	2	no	—
2188	C₄	—	2	2	no	—
2189	C₄	—	2	4	no	—
2190	C₄	—	2	2	no	—
2191	C₄	C₅₃×#585	1	2	yes	—
2192	C₂	—	4	2	no	—
2193	C₂	—	4	2	no	—
2194	C₂	—	4	2	no	—
2195	C₂	—	4	2	no	—
2196	C₂	—	4	1	no	—
2197	C₂	—	4	2	no	—
2198	C₂	C₂×C₅₃×#585	1	1	yes	characteristic
2199	C₂	C₅₃×2₋¹⁺⁶	1	1	yes	characteristic
2200	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×#3568	C₂	semidirect
2. C₅₃×#3566	C₂	semidirect
3. C₅₃×#3566	C₂	semidirect
4. C₅₃×#3566	C₂	semidirect
5. C₅₃×#3565	C₂	semidirect
6. C₅₃×#3565	C₂	semidirect
7. C₅₃×#3565	C₂	semidirect
8. C₅₃×#3563	C₂	semidirect
9. C₅₃×#3563	C₂	semidirect
10. C₅₃×#3563	C₂	semidirect
11. C₅₃×#3555	C₂	semidirect
12. C₅₃×#3555	C₂	semidirect
13. C₅₃×#3553	C₂	semidirect
14. C₅₃×#3550	C₂	semidirect
15. C₅₃×#3547	C₂	semidirect
16. C₅₃×#3541	C₂	semidirect
17. C₅₃×#3541	C₂	semidirect
18. C₅₃×#3538	C₂	semidirect
19. C₅₃×#3531	C₂	semidirect
20. C₅₃×#3529	C₂	semidirect
21. C₅₃×#3523	C₂	semidirect
22. C₅₃×#3518	C₂	semidirect
23. C₅₃×#3516	C₂	semidirect
24. C₅₃×#3515	C₂	semidirect
25. C₅₃×#3512	C₂	semidirect
26. C₅₃×#3507	C₂	semidirect
27. C₅₃×#3495	C₂	semidirect
28. C₅₃×#3495	C₂	semidirect
29. C₅₃×#3493	C₂	semidirect
30. C₅₃×#564	C₂²	semidirect
31. C₅₃×#564	C₂²	semidirect
38. C₅₃×#563	C₂²	semidirect
39. C₅₃×#563	C₂²	semidirect
40. C₅₃×#563	C₂²	semidirect
41. C₅₃×#563	C₂²	semidirect
42. C₅₃×#563	C₂²	semidirect
43. C₅₃×#563	C₂²	semidirect
44. C₅₃×#563	C₂²	semidirect
52. C₅₃×#562	C₂²	semidirect
53. C₅₃×#562	C₂²	semidirect
60. Q₈²×C₅₃	C₂²	semidirect
61. Q₈²×C₅₃	C₂²	semidirect
62. C₅₃×#557	C₂²	semidirect
63. C₅₃×#557	C₂²	semidirect
64. C₅₃×#557	C₂²	semidirect
65. C₅₃×#557	C₂²	semidirect
66. C₅₃×#557	C₂²	semidirect
67. C₅₃×#557	C₂²	semidirect
73. C₅₃×#556	C₂²	semidirect
74. C₅₃×#556	C₂²	semidirect
75. C₅₃×#556	C₂²	semidirect
76. C₅₃×#556	C₂²	semidirect
77. C₅₃×#556	C₂²	semidirect
78. C₅₃×#556	C₂²	semidirect
79. C₅₃×#556	C₂²	semidirect
80. C₅₃×#556	C₂²	semidirect
81. C₅₃×#556	C₂²	semidirect
82. C₅₃×#556	C₂²	semidirect
83. C₅₃×#556	C₂²	semidirect
87. C₅₃×#555	C₂²	semidirect
88. C₅₃×#555	C₂²	semidirect
91. C₅₃×#554	C₂²	semidirect
92. C₅₃×#554	C₂²	semidirect
93. C₅₃×#554	C₂²	semidirect
94. C₅₃×#554	C₂²	semidirect
95. C₅₃×#554	C₂²	semidirect
96. C₅₃×#554	C₂²	semidirect
97. C₅₃×#554	C₂²	semidirect
104. C₅₃×#553	C₂²	semidirect
105. C₅₃×#553	C₂²	semidirect
106. C₅₃×#553	C₂²	semidirect
107. C₅₃×#553	C₂²	semidirect
108. C₅₃×#553	C₂²	semidirect
115. C₅₃×#552	C₂²	semidirect
116. C₅₃×#552	C₂²	semidirect
117. C₅₃×#552	C₂²	semidirect
118. C₅₃×#552	C₂²	semidirect
119. C₅₃×#552	C₂²	semidirect
120. C₅₃×#552	C₂²	semidirect
121. C₅₃×#552	C₂²	semidirect
122. C₅₃×#552	C₂²	semidirect
123. C₅₃×#552	C₂²	semidirect
124. C₅₃×#552	C₂²	semidirect
125. C₅₃×#552	C₂²	semidirect
126. C₅₃×#552	C₂²	semidirect
127. C₅₃×#552	C₂²	semidirect
128. C₅₃×#552	C₂²	semidirect
129. C₅₃×#552	C₂²	semidirect
130. C₅₃×#552	C₂²	semidirect
131. C₅₃×#552	C₂²	semidirect
132. C₅₃×#552	C₂²	semidirect
133. C₅₃×#552	C₂²	semidirect
137. C₅₃×#551	C₂²	semidirect
138. C₅₃×#551	C₂²	semidirect
139. C₅₃×#551	C₂²	semidirect
142. D₄×Q₈×C₅₃	C₂²	semidirect
143. D₄×Q₈×C₅₃	C₂²	semidirect
144. D₄×Q₈×C₅₃	C₂²	semidirect
146. C₅₃×#548	C₂²	semidirect
147. C₅₃×#548	C₂²	semidirect
149. C₅₃×#547	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×#544	C₂²	semidirect
156. C₅₃×#544	C₂²	semidirect
157. C₅₃×#544	C₂²	semidirect
165. C₅₃×#542	C₂²	semidirect
166. C₅₃×#542	C₂²	semidirect
167. C₅₃×#542	C₂²	semidirect
168. C₅₃×#542	C₂²	semidirect
169. C₅₃×#542	C₂²	semidirect
170. C₅₃×#542	C₂²	semidirect
171. C₅₃×#542	C₂²	semidirect
172. C₅₃×#542	C₂²	semidirect
173. C₅₃×#541	C₂²	semidirect
174. C₅₃×#541	C₂²	semidirect
175. C₅₃×#541	C₂²	semidirect
176. C₅₃×#541	C₂²	semidirect
177. C₅₃×#541	C₂²	semidirect
178. C₅₃×#541	C₂²	semidirect
179. C₅₃×#541	C₂²	semidirect
180. C₅₃×#541	C₂²	semidirect
181. C₅₃×#541	C₂²	semidirect
182. C₅₃×#541	C₂²	semidirect
183. C₅₃×#541	C₂²	semidirect
184. C₅₃×#541	C₂²	semidirect
185. C₅₃×#541	C₂²	semidirect
186. C₅₃×#541	C₂²	semidirect
187. C₅₃×#541	C₂²	semidirect
188. C₅₃×#541	C₂²	semidirect
196. C₅₃×#539	C₂²	semidirect
197. C₅₃×#539	C₂²	semidirect
198. C₅₃×#539	C₂²	semidirect
199. C₅₃×#539	C₂²	semidirect
200. C₅₃×#539	C₂²	semidirect
204. C₅₃×#538	C₂²	semidirect
205. C₅₃×#538	C₂²	semidirect
206. C₅₃×#538	C₂²	semidirect
209. C₅₃×#537	C₂²	semidirect
213. C₅₃×#536	C₂²	semidirect
214. C₅₃×#533	C₂²	semidirect
215. C₅₃×#533	C₂²	semidirect
216. C₅₃×#533	C₂²	semidirect
217. C₅₃×#533	C₂²	semidirect
218. C₅₃×#533	C₂²	semidirect
219. C₅₃×#533	C₂²	semidirect
220. C₅₃×#533	C₂²	semidirect
221. C₅₃×#533	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. C₅₃×#529	C₂²	semidirect
242. C₂×#125×C₅₃	C₂²	semidirect
243. C₂×#125×C₅₃	C₂²	semidirect
247. C₅₃×#525	C₂²	semidirect
248. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
249. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
252. C₅₃×#520	C₂²	semidirect
253. C₅₃×#520	C₂²	semidirect
254. C₅₃×#519	C₂²	semidirect
255. C₅₃×#519	C₂²	semidirect
256. C₄×#41×C₅₃	C₂²	semidirect
257. C₂×C₄×Q₈×C₅₃	C₂²	semidirect
258. C₂×#117×C₅₃	C₂²	semidirect
1048. #63053	C₅₃	direct (N × H)
1092. #3568	C₂×C₅₃	semidirect
1093. #3566	C₂×C₅₃	semidirect
1094. #3566	C₂×C₅₃	semidirect
1095. #3566	C₂×C₅₃	semidirect
1096. #3565	C₂×C₅₃	semidirect
1097. #3565	C₂×C₅₃	semidirect
1098. #3565	C₂×C₅₃	semidirect
1099. #3563	C₂×C₅₃	semidirect
1100. #3563	C₂×C₅₃	semidirect
1101. #3563	C₂×C₅₃	semidirect
1102. #3555	C₂×C₅₃	semidirect
1103. #3555	C₂×C₅₃	semidirect
1104. #3553	C₂×C₅₃	semidirect
1105. #3550	C₂×C₅₃	semidirect
1106. #3547	C₂×C₅₃	semidirect
1107. #3541	C₂×C₅₃	semidirect
1108. #3541	C₂×C₅₃	semidirect
1109. #3538	C₂×C₅₃	semidirect
1110. #3531	C₂×C₅₃	semidirect
1111. #3529	C₂×C₅₃	semidirect
1112. #3523	C₂×C₅₃	semidirect
1113. #3518	C₂×C₅₃	semidirect
1114. #3516	C₂×C₅₃	semidirect
1115. #3515	C₂×C₅₃	semidirect
1116. #3512	C₂×C₅₃	semidirect
1117. #3507	C₂×C₅₃	semidirect
1118. #3495	C₂×C₅₃	semidirect
1119. #3495	C₂×C₅₃	semidirect
1120. #3493	C₂×C₅₃	semidirect
1130. #564	C₂²×C₅₃	semidirect
1131. #564	C₂²×C₅₃	semidirect
1138. #563	C₂²×C₅₃	semidirect
1139. #563	C₂²×C₅₃	semidirect
1140. #563	C₂²×C₅₃	semidirect
1141. #563	C₂²×C₅₃	semidirect
1142. #563	C₂²×C₅₃	semidirect
1143. #563	C₂²×C₅₃	semidirect
1144. #563	C₂²×C₅₃	semidirect
1152. #562	C₂²×C₅₃	semidirect
1153. #562	C₂²×C₅₃	semidirect
1160. Q₈²	C₂²×C₅₃	semidirect
1161. Q₈²	C₂²×C₅₃	semidirect
1162. #557	C₂²×C₅₃	semidirect
1163. #557	C₂²×C₅₃	semidirect
1164. #557	C₂²×C₅₃	semidirect
1165. #557	C₂²×C₅₃	semidirect
1166. #557	C₂²×C₅₃	semidirect
1167. #557	C₂²×C₅₃	semidirect
1173. #556	C₂²×C₅₃	semidirect
1174. #556	C₂²×C₅₃	semidirect
1175. #556	C₂²×C₅₃	semidirect
1176. #556	C₂²×C₅₃	semidirect
1177. #556	C₂²×C₅₃	semidirect
1178. #556	C₂²×C₅₃	semidirect
1179. #556	C₂²×C₅₃	semidirect
1180. #556	C₂²×C₅₃	semidirect
1181. #556	C₂²×C₅₃	semidirect
1182. #556	C₂²×C₅₃	semidirect
1183. #556	C₂²×C₅₃	semidirect
1187. #555	C₂²×C₅₃	semidirect
1188. #555	C₂²×C₅₃	semidirect
1191. #554	C₂²×C₅₃	semidirect
1192. #554	C₂²×C₅₃	semidirect
1193. #554	C₂²×C₅₃	semidirect
1194. #554	C₂²×C₅₃	semidirect
1195. #554	C₂²×C₅₃	semidirect
1196. #554	C₂²×C₅₃	semidirect
1197. #554	C₂²×C₅₃	semidirect
1204. #553	C₂²×C₅₃	semidirect
1205. #553	C₂²×C₅₃	semidirect
1206. #553	C₂²×C₅₃	semidirect
1207. #553	C₂²×C₅₃	semidirect
1208. #553	C₂²×C₅₃	semidirect
1215. #552	C₂²×C₅₃	semidirect
1216. #552	C₂²×C₅₃	semidirect
1217. #552	C₂²×C₅₃	semidirect
1218. #552	C₂²×C₅₃	semidirect
1219. #552	C₂²×C₅₃	semidirect
1220. #552	C₂²×C₅₃	semidirect
1221. #552	C₂²×C₅₃	semidirect
1222. #552	C₂²×C₅₃	semidirect
1223. #552	C₂²×C₅₃	semidirect
1224. #552	C₂²×C₅₃	semidirect
1225. #552	C₂²×C₅₃	semidirect
1226. #552	C₂²×C₅₃	semidirect
1227. #552	C₂²×C₅₃	semidirect
1228. #552	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
1237. #551	C₂²×C₅₃	semidirect
1238. #551	C₂²×C₅₃	semidirect
1239. #551	C₂²×C₅₃	semidirect
1242. D₄×Q₈	C₂²×C₅₃	semidirect
1243. D₄×Q₈	C₂²×C₅₃	semidirect
1244. D₄×Q₈	C₂²×C₅₃	semidirect
1246. #548	C₂²×C₅₃	semidirect
1247. #548	C₂²×C₅₃	semidirect
1249. #547	C₂²×C₅₃	semidirect
1250. #544	C₂²×C₅₃	semidirect
1251. #544	C₂²×C₅₃	semidirect
1252. #544	C₂²×C₅₃	semidirect
1253. #544	C₂²×C₅₃	semidirect
1254. #544	C₂²×C₅₃	semidirect
1255. #544	C₂²×C₅₃	semidirect
1256. #544	C₂²×C₅₃	semidirect
1257. #544	C₂²×C₅₃	semidirect
1265. #542	C₂²×C₅₃	semidirect
1266. #542	C₂²×C₅₃	semidirect
1267. #542	C₂²×C₅₃	semidirect
1268. #542	C₂²×C₅₃	semidirect
1269. #542	C₂²×C₅₃	semidirect
1270. #542	C₂²×C₅₃	semidirect
1271. #542	C₂²×C₅₃	semidirect
1272. #542	C₂²×C₅₃	semidirect
1273. #541	C₂²×C₅₃	semidirect
1274. #541	C₂²×C₅₃	semidirect
1275. #541	C₂²×C₅₃	semidirect
1276. #541	C₂²×C₅₃	semidirect
1277. #541	C₂²×C₅₃	semidirect
1278. #541	C₂²×C₅₃	semidirect
1279. #541	C₂²×C₅₃	semidirect
1280. #541	C₂²×C₅₃	semidirect
1281. #541	C₂²×C₅₃	semidirect
1282. #541	C₂²×C₅₃	semidirect
1283. #541	C₂²×C₅₃	semidirect
1284. #541	C₂²×C₅₃	semidirect
1285. #541	C₂²×C₅₃	semidirect
1286. #541	C₂²×C₅₃	semidirect
1287. #541	C₂²×C₅₃	semidirect
1288. #541	C₂²×C₅₃	semidirect
1296. #539	C₂²×C₅₃	semidirect
1297. #539	C₂²×C₅₃	semidirect
1298. #539	C₂²×C₅₃	semidirect
1299. #539	C₂²×C₅₃	semidirect
1300. #539	C₂²×C₅₃	semidirect
1304. #538	C₂²×C₅₃	semidirect
1305. #538	C₂²×C₅₃	semidirect
1306. #538	C₂²×C₅₃	semidirect
1309. #537	C₂²×C₅₃	semidirect
1313. #536	C₂²×C₅₃	semidirect
1314. #533	C₂²×C₅₃	semidirect
1315. #533	C₂²×C₅₃	semidirect
1316. #533	C₂²×C₅₃	semidirect
1317. #533	C₂²×C₅₃	semidirect
1318. #533	C₂²×C₅₃	semidirect
1319. #533	C₂²×C₅₃	semidirect
1320. #533	C₂²×C₅₃	semidirect
1321. #533	C₂²×C₅₃	semidirect
1335. #529	C₂²×C₅₃	semidirect
1336. #529	C₂²×C₅₃	semidirect
1337. #529	C₂²×C₅₃	semidirect
1338. #529	C₂²×C₅₃	semidirect
1339. #529	C₂²×C₅₃	semidirect
1340. #529	C₂²×C₅₃	semidirect
1341. #529	C₂²×C₅₃	semidirect
1342. C₂×#125	C₂²×C₅₃	semidirect
1343. C₂×#125	C₂²×C₅₃	semidirect
1347. #525	C₂²×C₅₃	semidirect
1348. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
1349. C₂×C₂²⋊Q₈	C₂²×C₅₃	semidirect
1352. #520	C₂²×C₅₃	semidirect
1353. #520	C₂²×C₅₃	semidirect
1354. #519	C₂²×C₅₃	semidirect
1355. #519	C₂²×C₅₃	semidirect
1356. C₄×#41	C₂²×C₅₃	semidirect
1357. C₂×C₄×Q₈	C₂²×C₅₃	semidirect
1358. C₂×#117	C₂²×C₅₃	semidirect
1359. C₅₃	#63053	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×#3563	2
C₅₃×#3555	2
C₅₃×#3553	2
C₅₃×#3550	2
C₅₃×#3547	2
C₅₃×#3541	2
C₅₃×#3538	2
C₅₃×#3531	2
C₅₃×#3529	2
C₅₃×#3523	2
C₅₃×#3518	2
C₅₃×#3516	2
C₅₃×#3515	2
C₅₃×#3512	2
C₅₃×#3507	2
C₅₃×#3495	2
C₅₃×#3493	2
#63053	53

Subgroups — C53×#63053 #27270565

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅₃×#63053 #27270565