Subgroups — #28248757

Order 13568.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288277	C₂	1	1	yes	maximal, characteristic
2	#20283725	C₂	1	1	yes	maximal, characteristic, complemented
3	#20283719	C₂	1	1	yes	maximal, characteristic, complemented
4	#20283712	C₂	1	1	yes	maximal, characteristic, complemented
5	#20283709	C₂	1	1	yes	maximal, characteristic, complemented
6	#20283709	C₂	1	1	yes	maximal, characteristic, complemented
7	#20283708	C₂	1	1	yes	maximal, characteristic, complemented
8	#20283703	C₂	1	1	yes	maximal, characteristic, complemented
9	#20283699	C₂	1	1	yes	maximal, characteristic, complemented
10	#20283695	C₂	1	1	yes	maximal, characteristic, complemented
11	#20283695	C₂	1	1	yes	maximal, characteristic, complemented
12	#20283694	C₂	1	1	yes	maximal, characteristic, complemented
13	#20283684	C₂	1	1	yes	maximal, characteristic, complemented
14	#20283683	C₂	1	1	yes	maximal, characteristic, complemented
15	#20283682	C₂	1	1	yes	maximal, characteristic, complemented
16	#20283675	C₂	1	1	yes	maximal, characteristic, complemented
17	#20283660	C₂	1	1	yes	maximal, characteristic, complemented
18	#20283651	C₂	1	1	yes	maximal, characteristic, complemented
19	#20283448	C₂	1	1	yes	maximal, characteristic, complemented
20	#20283438	C₂	1	1	yes	maximal, characteristic, complemented
21	#20283435	C₂	1	1	yes	maximal, characteristic, complemented
22	#20283413	C₂	1	1	yes	maximal, characteristic, complemented
23	#20283404	C₂	1	1	yes	maximal, characteristic, complemented
24	#435×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
25	#20283382	C₂	1	1	yes	maximal, characteristic, complemented
26	#20283374	C₂	1	1	yes	maximal, characteristic, complemented
27	#20283374	C₂	1	1	yes	maximal, characteristic, complemented
28	#20283140	C₂	1	1	yes	maximal, characteristic, complemented
29	#20283132	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#16810580	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#2970	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13133223	C₂²	1	1	yes	characteristic
33	C₂×#13133223	C₂²	1	1	yes	characteristic
34	C₂²×#11719912	C₂²	1	1	yes	characteristic
35	C₂×M₁₆×D₅₃	C₂²	1	1	yes	characteristic
36	C₂×M₁₆×D₅₃	C₂²	1	1	yes	characteristic
37	C₂²×C₈×D₅₃	C₂²	1	1	yes	characteristic
38	#16811345	C₄	1	1	yes	characteristic
39	#16811336	C₄	1	1	yes	characteristic
40	#16811332	C₄	1	1	yes	characteristic
41	#16811322	C₄	1	1	yes	characteristic
42	#16811322	C₄	1	1	yes	characteristic
43	#16811314	C₄	1	1	yes	characteristic
44	#16811312	C₄	1	1	yes	characteristic
45	#16811306	C₄	1	1	yes	characteristic
46	#16811306	C₄	1	1	yes	characteristic
47	#16811302	C₄	1	1	yes	characteristic
48	#16811302	C₄	1	1	yes	characteristic
49	#16811297	C₄	1	1	yes	characteristic
50	#16811297	C₄	1	1	yes	characteristic
51	#16811272	C₄	1	1	yes	characteristic
52	#16811268	C₄	1	1	yes	characteristic
53	#16811261	C₄	1	1	yes	characteristic
54	#16811177	C₂²	1	1	yes	characteristic
55	#16811160	C₂²	1	1	yes	characteristic
56	#16811157	C₂²	1	1	yes	characteristic
57	#16811157	C₂²	1	1	yes	characteristic
58	#16811157	C₂²	1	1	yes	characteristic
59	#16811153	C₂²	1	1	yes	characteristic
60	#16811153	C₂²	1	1	yes	characteristic
61	#16811132	C₂²	1	1	yes	characteristic
62	#16811132	C₂²	1	1	yes	characteristic
63	C₄×#11719945	C₂²	1	1	yes	characteristic
64	C₄×#11719947	C₂²	1	1	yes	characteristic
65	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
66	C₂×#13133174	C₂²	1	1	yes	characteristic
67	C₂×#13133174	C₂²	1	1	yes	characteristic
68	#16810754	C₂²	1	1	yes	characteristic, complemented
69	#16810754	C₂²	1	1	yes	characteristic, complemented
70	#16810753	C₂²	1	1	yes	characteristic, complemented
71	#16810752	C₂²	1	1	yes	characteristic, complemented
72	#16810752	C₂²	1	1	yes	characteristic, complemented
73	#16810752	C₂²	1	1	yes	characteristic, complemented
74	#16810752	C₂²	1	1	yes	characteristic, complemented
75	#16810751	C₂²	1	1	yes	characteristic, complemented
76	#16810751	C₂²	1	1	yes	characteristic, complemented
77	#16810751	C₂²	1	1	yes	characteristic, complemented
78	#16810751	C₂²	1	1	yes	characteristic, complemented
79	#16810750	C₂²	1	1	yes	characteristic, complemented
80	C₈×Dic₁₀₆	C₂²	1	1	yes	characteristic, complemented
81	#16810747	C₂²	1	1	yes	characteristic, complemented
82	#16810702	C₂²	1	1	yes	characteristic, complemented
83	#16810701	C₂²	1	1	yes	characteristic, complemented
84	#16810701	C₂²	1	1	yes	characteristic, complemented
85	#16810700	C₂²	1	1	yes	characteristic, complemented
86	#16810699	C₂²	1	1	yes	characteristic
87	#16810699	C₂²	1	1	yes	characteristic, complemented
88	#16810698	C₂²	1	1	yes	characteristic
89	#16810698	C₂²	1	1	yes	characteristic, complemented
90	#16810698	C₂²	1	1	yes	characteristic, complemented
91	#16810698	C₂²	1	1	yes	characteristic, complemented
92	#16810697	C₂²	1	1	yes	characteristic
93	#16810697	C₂²	1	1	yes	characteristic, complemented
94	#16810697	C₂²	1	1	yes	characteristic, complemented
95	#16810697	C₂²	1	1	yes	characteristic, complemented
96	#16810696	C₂²	1	1	yes	characteristic
97	#16810696	C₂²	1	1	yes	characteristic
98	#16810696	C₂²	1	1	yes	characteristic, complemented
99	#16810696	C₂²	1	1	yes	characteristic, complemented
100	#16810695	C₂²	1	1	yes	characteristic
101	#16810695	C₂²	1	1	yes	characteristic
102	#16810695	C₂²	1	1	yes	characteristic, complemented
103	#16810695	C₂²	1	1	yes	characteristic, complemented
104	#16810694	C₂²	1	1	yes	characteristic
105	#16810694	C₂²	1	1	yes	characteristic, complemented
106	#16810694	C₂²	1	1	yes	characteristic, complemented
107	#16810694	C₂²	1	1	yes	characteristic, complemented
108	#16810693	C₂²	1	1	yes	characteristic
109	#16810693	C₂²	1	1	yes	characteristic
110	#16810693	C₂²	1	1	yes	characteristic, complemented
111	#16810693	C₂²	1	1	yes	characteristic, complemented
112	#16810692	C₂²	1	1	yes	characteristic
113	#16810692	C₂²	1	1	yes	characteristic, complemented
114	#16810691	C₂²	1	1	yes	characteristic
115	#16810691	C₂²	1	1	yes	characteristic, complemented
116	C₈×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
117	#16810688	C₂²	1	1	yes	characteristic, complemented
118	C₈×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
119	C₈×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
120	C₈×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
121	C₈×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
122	#16810686	C₂²	1	1	yes	characteristic
123	#16810686	C₂²	1	1	yes	characteristic, complemented
124	#16810685	C₂²	1	1	yes	characteristic, complemented
125	#16810685	C₂²	1	1	yes	characteristic, complemented
126	#16810685	C₂²	1	1	yes	characteristic, complemented
127	#16810685	C₂²	1	1	yes	characteristic, complemented
128	#16810685	C₂²	1	1	yes	characteristic, complemented
129	#16810685	C₂²	1	1	yes	characteristic, complemented
130	#16810683	C₂²	1	1	yes	characteristic, complemented
131	#16810683	C₂²	1	1	yes	characteristic, complemented
132	#16810683	C₂²	1	1	yes	characteristic, complemented
133	#16810683	C₂²	1	1	yes	characteristic, complemented
134	#16810681	C₂²	1	1	yes	characteristic, complemented
135	#16810681	C₂²	1	1	yes	characteristic, complemented
136	#16810679	C₂²	1	1	yes	characteristic, complemented
137	#16810677	C₂²	1	1	yes	characteristic, complemented
138	#16810677	C₂²	1	1	yes	characteristic, complemented
139	#16810676	C₂²	1	1	yes	characteristic, complemented
140	#16810676	C₂²	1	1	yes	characteristic, complemented
141	#16810676	C₂²	1	1	yes	characteristic, complemented
142	#16810675	C₂²	1	1	yes	characteristic, complemented
143	#16810673	C₂²	1	1	yes	characteristic, complemented
144	#16810673	C₂²	1	1	yes	characteristic, complemented
145	#16810648	C₂²	1	1	yes	characteristic
146	#16810648	C₂²	1	1	yes	characteristic
147	#16810648	C₂²	1	1	yes	characteristic
148	#16810648	C₂²	1	1	yes	characteristic
149	#16810645	C₂²	1	1	yes	characteristic
150	C₄⋊C₈×D₅₃	C₂²	1	1	yes	characteristic
151	#16810588	C₂²	1	1	yes	characteristic
152	#16810588	C₂²	1	1	yes	characteristic
153	#16810585	C₂²	1	1	yes	characteristic
154	#16810585	C₂²	1	1	yes	characteristic
155	C₂²⋊C₈×D₅₃	C₂²	1	1	yes	characteristic
156	C₂²⋊C₈×D₅₃	C₂²	1	1	yes	characteristic
157	#16810580	C₂²	1	1	yes	characteristic
158	#16810580	C₂²	1	1	yes	characteristic
159	#16810580	C₂²	1	1	yes	characteristic
160	#16810580	C₂²	1	1	yes	characteristic
161	#16810580	C₂²	1	1	yes	characteristic
162	#16810580	C₂²	1	1	yes	characteristic
163	#16810580	C₂²	1	1	yes	characteristic, complemented
164	#16810580	C₂²	1	1	yes	characteristic, complemented
165	#16810580	C₂²	1	1	yes	characteristic, complemented
166	#16810580	C₂²	1	1	yes	characteristic, complemented
167	#16810580	C₂²	1	1	yes	characteristic, complemented
168	#16810580	C₂²	1	1	yes	characteristic, complemented
169	#16810580	C₂²	1	1	yes	characteristic, complemented
170	#16810580	C₂²	1	1	yes	characteristic, complemented
171	#16810578	C₂²	1	1	yes	characteristic, complemented
172	#16810578	C₂²	1	1	yes	characteristic, complemented
173	#16810577	C₂²	1	1	yes	characteristic
174	#16810577	C₂²	1	1	yes	characteristic
175	#16810577	C₂²	1	1	yes	characteristic, complemented
176	#16810577	C₂²	1	1	yes	characteristic, complemented
177	C₄×#11719917	C₂²	1	1	yes	characteristic, complemented
178	C₄×#11719917	C₂²	1	1	yes	characteristic, complemented
179	#16810575	C₂²	1	1	yes	characteristic
180	#16810575	C₂²	1	1	yes	characteristic, complemented
181	M₁₆×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
182	M₁₆×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
183	C₂×#13133127	C₂²	1	1	yes	characteristic, complemented
184	#97×D₅₃	C₂²	1	1	yes	characteristic
185	#97×D₅₃	C₂²	1	1	yes	characteristic, complemented
186	C₂×C₄×#88322	C₂²	1	1	yes	characteristic, complemented
187	C₂×C₈×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
188	C₄×#41×C₅₃	C₂²	1	1	yes	characteristic
189	C₅₃×#446	C₂²	1	1	yes	characteristic, complemented
190	C₅₃×#446	C₂²	1	1	yes	characteristic, complemented
191	C₅₃×#435	C₂²	1	1	yes	characteristic
192	C₅₃×#435	C₂²	1	1	yes	characteristic
193	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
194	C₅₃×#435	C₂²	1	1	yes	characteristic, complemented
195	C₈×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
196	C₈×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
197	C₅₃×#432	C₂²	1	1	yes	characteristic, complemented
198	C₅₃×#432	C₂²	1	1	yes	characteristic, complemented
199	C₅₃×#432	C₂²	1	1	yes	characteristic, complemented
200	C₄×M₁₆×C₅₃	C₂²	1	1	yes	characteristic, complemented
201	C₂×#97×C₅₃	C₂²	1	1	yes	characteristic, complemented
202	C₂×#97×C₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11719945	C₂³	1	1	yes	characteristic
204	C₂×#11719947	C₂×C₄	1	1	yes	characteristic
205	C₂×D₄×D₅₃	C₂×C₄	1	1	yes	characteristic
206	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
208	#13133223	—	2	4	no	—
209	#13133223	—	2	4	no	—
210	C₂×#11719917	C₂³	1	1	yes	characteristic
211	C₂×#11719917	C₂³	1	1	yes	characteristic
212	C₂×#11719917	C₂³	1	1	yes	characteristic
213	C₂×#11719917	C₂³	1	1	yes	characteristic
214	C₂×#11719912	—	2	4	no	—
215	C₂×#11719912	C₂³	1	1	yes	characteristic
216	C₂×#11719912	C₂³	1	1	yes	characteristic
217	C₂×#11719912	C₂³	1	1	yes	characteristic
218	C₂×#11719912	C₂³	1	1	yes	characteristic
219	C₂×#11719912	C₂³	1	1	yes	characteristic
220	C₂×#11719912	C₂³	1	1	yes	characteristic
221	C₂×#11719912	C₂³	1	1	yes	characteristic
222	C₂×#11719912	C₂³	1	1	yes	characteristic
223	C₂×#11719912	C₂³	1	1	yes	characteristic
224	C₂×#11719912	C₂³	1	1	yes	characteristic
225	M₁₆×D₅₃	—	2	4	no	—
226	M₁₆×D₅₃	—	2	4	no	—
227	C₂²×#88322	C₂³	1	1	yes	characteristic
228	C₂²×#88322	C₂³	1	1	yes	characteristic
229	C₂×C₈×D₅₃	—	2	4	no	—
230	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
231	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
232	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
233	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
234	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
235	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
236	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
237	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
238	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
239	C₂×C₈×D₅₃	C₂³	1	1	yes	characteristic
240	#13133216	C₂×C₄	1	1	yes	characteristic
241	#13133215	C₂×C₄	1	1	yes	characteristic
242	#13133212	C₂×C₄	1	1	yes	characteristic
243	#13133212	C₂×C₄	1	1	yes	characteristic
244	#13133212	C₂×C₄	1	1	yes	characteristic
245	#13133212	C₂×C₄	1	1	yes	characteristic
246	#13133211	C₂×C₄	1	1	yes	characteristic
247	#13133211	C₂×C₄	1	1	yes	characteristic
248	#13133211	C₂×C₄	1	1	yes	characteristic
249	#13133211	C₂×C₄	1	1	yes	characteristic
250	#13133211	C₂×C₄	1	1	yes	characteristic
251	#13133211	C₂×C₄	1	1	yes	characteristic
252	#13133210	C₂×C₄	1	1	yes	characteristic
253	#13133210	C₂×C₄	1	1	yes	characteristic
254	#13133209	C₂×C₄	1	1	yes	characteristic
255	#13133209	C₂×C₄	1	1	yes	characteristic
256	#13133209	C₂×C₄	1	1	yes	characteristic
257	#13133208	C₂×C₄	1	1	yes	characteristic
258	#13133207	C₂×C₄	1	1	yes	characteristic
259	#13133207	C₂×C₄	1	1	yes	characteristic
260	#13133207	C₂×C₄	1	1	yes	characteristic
261	#13133207	C₂×C₄	1	1	yes	characteristic
262	#13133206	C₂×C₄	1	1	yes	characteristic
263	#13133205	C₂×C₄	1	1	yes	characteristic
264	#13133205	C₂×C₄	1	1	yes	characteristic
265	#13133205	C₂×C₄	1	1	yes	characteristic
266	#13133203	C₂×C₄	1	1	yes	characteristic
267	#13133203	C₂×C₄	1	1	yes	characteristic
268	#13133202	C₂×C₄	1	1	yes	characteristic
269	#13133202	C₂×C₄	1	1	yes	characteristic
270	#13133202	C₂×C₄	1	1	yes	characteristic
271	#13133202	C₂×C₄	1	1	yes	characteristic
272	#13133201	C₂×C₄	1	1	yes	characteristic
273	#13133201	C₂×C₄	1	1	yes	characteristic
274	#13133200	C₂×C₄	1	1	yes	characteristic
275	#13133200	C₂×C₄	1	1	yes	characteristic
276	#13133200	C₂×C₄	1	1	yes	characteristic
277	#13133200	C₂×C₄	1	1	yes	characteristic
278	#13133200	C₂×C₄	1	1	yes	characteristic
279	#13133200	C₂×C₄	1	1	yes	characteristic
280	#13133199	C₂×C₄	1	1	yes	characteristic
281	#13133199	C₂×C₄	1	1	yes	characteristic
282	#13133198	C₂×C₄	1	1	yes	characteristic
283	#13133198	C₂×C₄	1	1	yes	characteristic
284	#13133197	C₂×C₄	1	1	yes	characteristic
285	#13133196	C₂×C₄	1	1	yes	characteristic
286	#13133196	C₂×C₄	1	1	yes	characteristic
287	#13133196	C₂×C₄	1	1	yes	characteristic
288	#13133195	C₂×C₄	1	1	yes	characteristic
289	#13133195	C₂×C₄	1	1	yes	characteristic
290	#13133195	C₂×C₄	1	1	yes	characteristic
291	#13133195	C₂×C₄	1	1	yes	characteristic
292	#13133194	C₂×C₄	1	1	yes	characteristic
293	#13133194	C₂×C₄	1	1	yes	characteristic
294	#13133194	C₂×C₄	1	1	yes	characteristic
295	#13133194	C₂×C₄	1	1	yes	characteristic
296	#13133193	C₂×C₄	1	1	yes	characteristic
297	#13133193	C₂×C₄	1	1	yes	characteristic
298	#13133192	C₂×C₄	1	1	yes	characteristic
299	#13133191	C₂×C₄	1	1	yes	characteristic
300	#13133191	C₂×C₄	1	1	yes	characteristic
301	#13133191	C₂×C₄	1	1	yes	characteristic
302	#13133190	C₂×C₄	1	1	yes	characteristic
303	#13133190	C₂×C₄	1	1	yes	characteristic
304	#13133189	C₂×C₄	1	1	yes	characteristic
305	#13133189	C₂×C₄	1	1	yes	characteristic
306	#13133189	C₂×C₄	1	1	yes	characteristic
307	#13133189	C₂×C₄	1	1	yes	characteristic
308	#13133187	C₂×C₄	1	1	yes	characteristic
309	#13133187	C₂×C₄	1	1	yes	characteristic
310	#13133185	C₂×C₄	1	1	yes	characteristic
311	#13133185	C₂×C₄	1	1	yes	characteristic
312	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
313	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
314	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
315	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
316	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
317	#13133182	C₂×C₄	1	1	yes	characteristic
318	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic
319	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic
320	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
321	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
322	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
323	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic
324	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic
325	#13133179	C₂×C₄	1	1	yes	characteristic
326	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
327	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
328	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
329	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
330	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
331	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
332	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
333	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
334	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
335	C₄×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
336	#13133177	C₂×C₄	1	1	yes	characteristic
337	#13133177	C₂×C₄	1	1	yes	characteristic
338	#13133177	C₂×C₄	1	1	yes	characteristic
339	#13133177	C₂×C₄	1	1	yes	characteristic
340	#13133176	C₂³	1	1	yes	characteristic
341	#13133175	C₂×C₄	1	1	yes	characteristic
342	#13133174	C₂×C₄	1	1	yes	characteristic
343	#13133174	C₂×C₄	1	1	yes	characteristic
344	#13133174	C₂×C₄	1	1	yes	characteristic
345	#13133174	C₂×C₄	1	1	yes	characteristic
346	#13133174	C₂×C₄	1	1	yes	characteristic
347	#13133174	C₂×C₄	1	1	yes	characteristic
348	#13133174	C₂×C₄	1	1	yes	characteristic
349	#13133174	C₂×C₄	1	1	yes	characteristic
350	#13133174	C₂³	1	1	yes	characteristic
351	#13133174	C₂³	1	1	yes	characteristic
352	#13133174	C₂³	1	1	yes	characteristic
353	#13133174	C₂³	1	1	yes	characteristic
354	#13133174	C₂³	1	1	yes	characteristic
355	#13133174	C₂³	1	1	yes	characteristic
356	#13133174	C₂³	1	1	yes	characteristic
357	#13133174	C₂³	1	1	yes	characteristic
358	#13133173	C₂×C₄	1	1	yes	characteristic
359	#13133173	C₂×C₄	1	1	yes	characteristic
360	C₂×#11719919	C₂×C₄	1	1	yes	characteristic
361	C₂×#11719919	C₂×C₄	1	1	yes	characteristic
362	C₂×#11719919	C₂×C₄	1	1	yes	characteristic
363	C₂×#11719919	C₂×C₄	1	1	yes	characteristic
364	C₄⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
365	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
366	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
367	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
368	C₂×#11719921	C₂×C₄	1	1	yes	characteristic
369	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
370	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic
371	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
372	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
373	C₄²×D₅₃	C₂³	1	1	yes	characteristic
374	C₄²×D₅₃	C₂³	1	1	yes	characteristic
375	C₄⋊#88322	C₂³	1	1	yes	characteristic
376	C₄⋊#88322	C₂³	1	1	yes	characteristic
377	C₄⋊#88322	C₂³	1	1	yes	characteristic
378	C₄⋊#88322	C₂³	1	1	yes	characteristic
379	C₄⋊#88322	C₂³	1	1	yes	characteristic
380	C₄⋊#88322	C₂³	1	1	yes	characteristic
381	#13133146	C₂³	1	1	yes	characteristic
382	#13133146	C₂³	1	1	yes	characteristic
383	#13133146	C₂³	1	1	yes	characteristic
384	#13133146	C₂³	1	1	yes	characteristic
385	#13133146	C₂³	1	1	yes	characteristic
386	#13133146	C₂³	1	1	yes	characteristic
387	#13133146	C₂³	1	1	yes	characteristic
388	#13133146	C₂³	1	1	yes	characteristic
389	#13133146	C₂³	1	1	yes	characteristic
390	#13133146	C₂³	1	1	yes	characteristic
391	#13133146	C₂³	1	1	yes	characteristic
392	#13133146	C₂³	1	1	yes	characteristic
393	C₂²⋊#88322	C₂³	1	1	yes	characteristic
394	C₂²⋊#88322	C₂³	1	1	yes	characteristic
395	C₂²⋊#88322	C₂³	1	1	yes	characteristic
396	C₂²⋊#88322	C₂³	1	1	yes	characteristic
397	C₂²⋊#88322	C₂³	1	1	yes	characteristic
398	C₂²⋊#88322	C₂³	1	1	yes	characteristic
399	#13133129	C₂³	1	1	yes	characteristic
400	#13133129	C₂³	1	1	yes	characteristic
401	#13133129	C₂³	1	1	yes	characteristic
402	#13133129	C₂³	1	1	yes	characteristic
403	#13133129	C₂³	1	1	yes	characteristic
404	#13133129	C₂³	1	1	yes	characteristic
405	#13133129	C₂³	1	1	yes	characteristic
406	#13133129	C₂³	1	1	yes	characteristic
407	#13133129	C₂³	1	1	yes	characteristic
408	#13133129	C₂³	1	1	yes	characteristic
409	#13133129	C₂³	1	1	yes	characteristic
410	#13133129	C₂³	1	1	yes	characteristic
411	#13133128	C₂³	1	1	yes	characteristic
412	#13133128	C₂³	1	1	yes	characteristic
413	#13133128	C₂³	1	1	yes	characteristic
414	#13133128	C₂³	1	1	yes	characteristic
415	#13133127	C₂³	1	1	yes	characteristic
416	#13133127	C₂³	1	1	yes	characteristic
417	#13133127	C₂³	1	1	yes	characteristic
418	#13133127	C₂³	1	1	yes	characteristic
419	#13133127	C₂³	1	1	yes	characteristic
420	#13133127	C₂³	1	1	yes	characteristic
421	#13133127	C₂³	1	1	yes	characteristic
422	#13133127	C₂³	1	1	yes	characteristic
423	#13133127	C₂³	1	1	yes	characteristic
424	#13133127	C₂³	1	1	yes	characteristic
425	C₄×#88322	C₂³	1	1	yes	characteristic
426	C₄×#88322	C₂³	1	1	yes	characteristic
427	C₄×#88322	C₂³	1	1	yes	characteristic
428	C₄×#88322	C₂³	1	1	yes	characteristic
429	C₄×#88322	C₂³	1	1	yes	characteristic
430	C₄×#88322	C₂³	1	1	yes	characteristic
431	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
432	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
433	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
434	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
435	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
436	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
437	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
438	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
439	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
440	C₈×Dic₅₃	C₂³	1	1	yes	characteristic
441	C₂×#41×C₅₃	C₂×C₄	1	1	yes	characteristic
442	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
443	C₂×M₁₆×C₅₃	C₂³	1	1	yes	characteristic
444	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
445	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
446	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
447	C₂²×C₈×C₅₃	C₂³	1	1	yes	characteristic
448	C₄×Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
449	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
450	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
451	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
452	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
453	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
454	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
455	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
456	#117×C₅₃	C₂×C₄	1	1	yes	characteristic
457	#117×C₅₃	C₂×C₄	1	1	yes	characteristic
458	#117×C₅₃	C₂×C₄	1	1	yes	characteristic
459	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
460	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
461	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
462	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
463	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
464	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
465	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
466	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
467	C₄⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
468	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
469	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
470	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
471	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
472	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
473	C₂²⋊C₈×C₅₃	C₂³	1	1	yes	characteristic
474	#97×C₅₃	C₂³	1	1	yes	characteristic
475	#97×C₅₃	C₂³	1	1	yes	characteristic
476	#97×C₅₃	C₂³	1	1	yes	characteristic
477	#97×C₅₃	C₂³	1	1	yes	characteristic
478	#97×C₅₃	C₂³	1	1	yes	characteristic
479	#97×C₅₃	C₂³	1	1	yes	characteristic
480	#97×C₅₃	C₂³	1	1	yes	characteristic
481	#97×C₅₃	C₂³	1	1	yes	characteristic
482	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
483	C₄×C₈×C₅₃	C₂³	1	1	yes	characteristic
484	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
485	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
486	#41×C₅₃	—	4	2	no	—
487	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
490	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
491	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
492	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
493	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
494	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
495	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
496	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
497	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
500	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
501	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
502	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
503	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
508	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
509	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
510	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
511	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
512	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
513	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
514	#11719947	—	4	2	no	—
515	D₄×D₅₃	—	4	2	no	—
516	#11719945	—	2	2	no	—
517	#11719945	—	2	2	no	—
518	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
519	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
520	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
521	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
522	C₂×C₄×D₅₃	—	2	2	no	—
523	C₂×C₄×D₅₃	—	2	2	no	—
524	C₂×C₄×D₅₃	—	2	2	no	—
525	C₂×C₄×D₅₃	—	2	2	no	—
526	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
535	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
536	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
537	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
538	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
539	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
540	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
541	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
542	M₁₆×C₅₃	—	2	2	no	—
543	M₁₆×C₅₃	—	2	2	no	—
544	C₂×C₈×C₅₃	—	2	2	no	—
545	C₂×C₈×C₅₃	—	2	2	no	—
546	C₂×C₈×C₅₃	—	2	2	no	—
547	C₂×C₈×C₅₃	—	2	2	no	—
548	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
549	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
550	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
551	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
552	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
553	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
554	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
555	C₂×C₈×C₅₃	C₂⁴	1	1	yes	characteristic
556	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
557	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
558	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
559	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
560	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
561	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
562	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
563	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
564	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
565	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
566	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
567	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
568	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
569	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
570	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
571	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
572	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
573	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
574	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
575	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
576	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
577	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
578	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
579	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
580	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
581	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
582	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
583	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
584	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
585	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
586	#11719921	C₂²×C₄	1	1	yes	characteristic
587	#11719921	C₂²×C₄	1	1	yes	characteristic
588	#11719921	C₂²×C₄	1	1	yes	characteristic
589	#11719921	C₂²×C₄	1	1	yes	characteristic
590	#11719921	C₂²×C₄	1	1	yes	characteristic
591	#11719921	C₂²×C₄	1	1	yes	characteristic
592	#11719921	C₂²×C₄	1	1	yes	characteristic
593	#11719921	C₂²×C₄	1	1	yes	characteristic
594	#11719921	C₂²×C₄	1	1	yes	characteristic
595	#11719921	C₂²×C₄	1	1	yes	characteristic
596	#11719921	C₂²×C₄	1	1	yes	characteristic
597	#11719921	C₂²×C₄	1	1	yes	characteristic
598	#11719921	C₂²×C₄	1	1	yes	characteristic
599	#11719921	C₂²×C₄	1	1	yes	characteristic
600	#11719921	C₂²×C₄	1	1	yes	characteristic
601	#11719921	C₂²×C₄	1	1	yes	characteristic
602	#11719921	C₂²×C₄	1	1	yes	characteristic
603	#11719921	C₂²×C₄	1	1	yes	characteristic
604	#11719921	C₂²×C₄	1	1	yes	characteristic
605	#11719921	C₂²×C₄	1	1	yes	characteristic
606	#11719921	C₂²×C₄	1	1	yes	characteristic
607	#11719921	C₂²×C₄	1	1	yes	characteristic
608	#11719921	C₂²×C₄	1	1	yes	characteristic
609	#11719921	C₂²×C₄	1	1	yes	characteristic
610	#11719921	C₂²×C₄	1	1	yes	characteristic
611	#11719921	C₂²×C₄	1	1	yes	characteristic
612	#11719921	C₂²×C₄	1	1	yes	characteristic
613	#11719921	C₂²×C₄	1	1	yes	characteristic
614	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
615	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
616	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
617	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
618	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
619	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
620	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
621	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
622	#11719919	C₂²×C₄	1	1	yes	characteristic
623	#11719919	C₂²×C₄	1	1	yes	characteristic
624	#11719919	C₂²×C₄	1	1	yes	characteristic
625	#11719919	C₂²×C₄	1	1	yes	characteristic
626	#11719919	C₂²×C₄	1	1	yes	characteristic
627	#11719919	C₂²×C₄	1	1	yes	characteristic
628	#11719919	C₂²×C₄	1	1	yes	characteristic
629	#11719919	C₂²×C₄	1	1	yes	characteristic
630	#11719919	C₂²×C₄	1	1	yes	characteristic
631	#11719919	C₂²×C₄	1	1	yes	characteristic
632	#11719919	C₂²×C₄	1	1	yes	characteristic
633	#11719919	C₂²×C₄	1	1	yes	characteristic
634	#11719919	C₂²×C₄	1	1	yes	characteristic
635	#11719919	C₂²×C₄	1	1	yes	characteristic
636	#11719919	C₂²×C₄	1	1	yes	characteristic
637	#11719919	C₂²×C₄	1	1	yes	characteristic
638	#11719919	C₂²×C₄	1	1	yes	characteristic
639	#11719919	C₂²×C₄	1	1	yes	characteristic
640	#11719919	C₂²×C₄	1	1	yes	characteristic
641	#11719919	C₂²×C₄	1	1	yes	characteristic
642	#11719919	C₂²×C₄	1	1	yes	characteristic
643	#11719919	C₂²×C₄	1	1	yes	characteristic
644	#11719919	C₂²×C₄	1	1	yes	characteristic
645	#11719919	C₂²×C₄	1	1	yes	characteristic
646	#11719919	C₂²×C₄	1	1	yes	characteristic
647	#11719919	C₂²×C₄	1	1	yes	characteristic
648	#11719919	C₂²×C₄	1	1	yes	characteristic
649	#11719919	C₂²×C₄	1	1	yes	characteristic
650	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
651	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
652	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
653	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
654	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
655	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
656	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
657	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
658	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
659	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
660	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
661	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
662	#11719917	—	2	2	no	—
663	#11719917	—	2	2	no	—
664	#11719917	—	2	2	no	—
665	#11719917	—	2	2	no	—
666	C₂×#88322	—	2	2	no	—
667	C₂×#88322	—	2	2	no	—
668	C₂×#88322	C₂⁴	1	1	yes	characteristic
669	C₂×#88322	C₂⁴	1	1	yes	characteristic
670	C₂×#88322	C₂⁴	1	1	yes	characteristic
671	C₂×#88322	C₂⁴	1	1	yes	characteristic
672	C₂×#88322	C₂⁴	1	1	yes	characteristic
673	C₂×#88322	C₂⁴	1	1	yes	characteristic
674	C₂×#88322	C₂⁴	1	1	yes	characteristic
675	C₂×#88322	C₂⁴	1	1	yes	characteristic
676	#11719912	—	2	2	no	—
677	#11719912	—	2	2	no	—
678	#11719912	—	2	2	no	—
679	#11719912	—	2	2	no	—
680	#11719912	—	2	2	no	—
681	#11719912	—	2	2	no	—
682	#11719912	—	2	2	no	—
683	#11719912	—	2	2	no	—
684	#11719912	—	2	2	no	—
685	#11719912	#41	1	4	yes	complemented
686	C₈×D₅₃	—	2	2	no	—
687	C₈×D₅₃	—	2	2	no	—
688	C₈×D₅₃	—	2	2	no	—
689	C₈×D₅₃	—	2	2	no	—
690	C₈×D₅₃	—	2	2	no	—
691	C₈×D₅₃	—	2	2	no	—
692	C₈×D₅₃	—	2	2	no	—
693	C₈×D₅₃	—	2	2	no	—
694	C₈×D₅₃	—	2	2	no	—
695	C₈×D₅₃	#41	1	4	yes	complemented
696	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
697	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
698	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
699	C₂²×D₅₃	—	2	2	no	—
700	C₂²×D₅₃	—	2	2	no	—
701	C₂²×D₅₃	—	2	2	no	—
702	C₂²×D₅₃	—	4	1	no	—
703	C₂²×D₅₃	—	4	1	no	—
704	C₂²×D₅₃	—	4	1	no	—
705	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
706	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
707	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
708	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
709	Q₈×C₅₃	—	4	1	no	—
710	D₄×C₅₃	—	2	2	no	—
711	D₄×C₅₃	—	2	2	no	—
712	D₄×C₅₃	—	4	1	no	—
713	C₂×C₄×C₅₃	—	2	2	no	—
714	C₂×C₄×C₅₃	—	2	1	no	—
715	C₂×C₄×C₅₃	—	2	1	no	—
716	C₂×C₄×C₅₃	—	2	1	no	—
717	C₂×C₄×C₅₃	—	2	1	no	—
718	C₂×C₄×C₅₃	—	2	1	no	—
719	C₂×C₄×C₅₃	—	2	1	no	—
720	C₂×C₄×C₅₃	—	4	1	no	—
721	C₂×C₄×C₅₃	—	4	1	no	—
722	C₂×C₄×C₅₃	—	4	1	no	—
723	C₂×C₄×C₅₃	—	4	1	no	—
724	C₂×C₄×C₅₃	—	4	1	no	—
725	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
726	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
727	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
728	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
729	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
730	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
731	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
732	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
733	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
734	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
735	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
736	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
737	C₂²⋊D₅₃	—	2	2	no	—
738	C₂²⋊D₅₃	—	2	2	no	—
739	C₂²⋊D₅₃	—	2	2	no	—
740	C₂²⋊D₅₃	—	2	2	no	—
741	C₂²⋊D₅₃	—	4	1	no	—
742	C₂²⋊D₅₃	—	4	1	no	—
743	C₂²⋊D₅₃	—	4	1	no	—
744	C₂²⋊D₅₃	—	4	1	no	—
745	C₂×Dic₅₃	—	2	2	no	—
746	C₂×Dic₅₃	—	2	2	no	—
747	C₂×Dic₅₃	—	2	2	no	—
748	C₂×Dic₅₃	—	4	1	no	—
749	C₂×Dic₅₃	—	4	1	no	—
750	C₂×Dic₅₃	—	4	1	no	—
751	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
752	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
753	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
754	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
755	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
756	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
757	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
758	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
759	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
760	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
761	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
762	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
763	D₂₁₂	—	2	2	no	—
764	D₂₁₂	—	4	1	no	—
765	D₂₁₂	—	4	1	no	—
766	D₂₁₂	—	4	1	no	—
767	C₄×D₅₃	—	2	2	no	—
768	C₄×D₅₃	—	2	2	no	—
769	C₄×D₅₃	—	2	1	no	—
770	C₄×D₅₃	—	2	1	no	—
771	C₄×D₅₃	—	2	1	no	—
772	C₄×D₅₃	—	2	1	no	—
773	C₄×D₅₃	—	2	1	no	—
774	C₄×D₅₃	—	2	1	no	—
775	C₄×D₅₃	—	2	2	no	—
776	C₄×D₅₃	—	2	2	no	—
777	C₄×D₅₃	—	4	1	no	—
778	C₄×D₅₃	—	4	1	no	—
779	C₄×D₅₃	—	4	1	no	—
780	C₄×D₅₃	—	4	1	no	—
781	C₄×D₅₃	C₂×#41	1	2	yes	—
782	C₄×D₅₃	C₂×#41	1	2	yes	—
783	Dic₁₀₆	—	2	2	no	—
784	Dic₁₀₆	—	4	1	no	—
785	Dic₁₀₆	—	4	1	no	—
786	Dic₁₀₆	—	4	1	no	—
787	C₈×C₅₃	—	2	1	no	—
788	C₈×C₅₃	—	2	1	no	—
789	C₈×C₅₃	—	2	1	no	—
790	C₈×C₅₃	—	2	1	no	—
791	C₈×C₅₃	—	2	1	no	—
792	C₈×C₅₃	—	2	1	no	—
793	C₈×C₅₃	C₂×#41	1	2	yes	—
794	C₈×C₅₃	C₂×#41	1	2	yes	—
795	#88322	—	2	1	no	—
796	#88322	—	2	1	no	—
797	#88322	—	2	1	no	—
798	#88322	—	2	1	no	—
799	#88322	—	2	1	no	—
800	#88322	—	2	1	no	—
801	#88322	C₂×#41	1	2	yes	—
802	#88322	C₂×#41	1	2	yes	—
803	#60216	—	53	1	no	maximal, Sylow
804	C₂²×C₅₃	—	2	1	no	—
805	C₂²×C₅₃	—	2	1	no	—
806	C₂²×C₅₃	—	2	1	no	—
807	C₂²×C₅₃	—	2	1	no	—
808	C₂²×C₅₃	—	2	1	no	—
809	C₂²×C₅₃	—	2	1	no	—
810	C₂²×C₅₃	—	2	1	no	—
811	C₂²×C₅₃	—	2	1	no	—
812	C₂²×C₅₃	#568	1	2	yes	—
813	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
814	C₂×D₅₃	—	2	1	no	—
815	C₂×D₅₃	—	2	1	no	—
816	C₂×D₅₃	—	2	1	no	—
817	C₂×D₅₃	—	2	1	no	—
818	C₂×D₅₃	—	2	1	no	—
819	C₂×D₅₃	—	2	1	no	—
820	C₂×D₅₃	—	2	1	no	—
821	C₂×D₅₃	—	2	1	no	—
822	C₂×D₅₃	—	2	1	no	—
823	C₂×D₅₃	—	2	1	no	—
824	C₂×D₅₃	—	2	1	no	—
825	C₂×D₅₃	—	4	4	no	—
826	C₂×D₅₃	—	8	2	no	—
827	C₂×D₅₃	C₄×#41	1	2	yes	—
828	C₄×C₅₃	—	2	1	no	—
829	C₄×C₅₃	—	2	1	no	—
830	C₄×C₅₃	—	2	1	no	—
831	C₄×C₅₃	—	2	1	no	—
832	C₄×C₅₃	—	2	1	no	—
833	C₄×C₅₃	—	2	1	no	—
834	C₄×C₅₃	—	2	1	no	—
835	C₄×C₅₃	—	2	1	no	—
836	C₄×C₅₃	—	2	1	no	—
837	C₄×C₅₃	—	2	1	no	—
838	C₄×C₅₃	—	2	1	no	—
839	C₄×C₅₃	C₂²×#41	1	1	yes	characteristic
840	C₄×C₅₃	C₂²×#41	1	1	yes	characteristic
841	Dic₅₃	—	2	1	no	—
842	Dic₅₃	—	2	1	no	—
843	Dic₅₃	—	2	1	no	—
844	Dic₅₃	—	2	1	no	—
845	Dic₅₃	—	2	1	no	—
846	Dic₅₃	—	2	1	no	—
847	Dic₅₃	—	2	1	no	—
848	Dic₅₃	—	2	1	no	—
849	Dic₅₃	—	2	1	no	—
850	Dic₅₃	—	2	1	no	—
851	Dic₅₃	—	2	1	no	—
852	Dic₅₃	C₄×#41	1	2	yes	—
853	#3475	—	53	1	no	—
854	#2970	—	53	1	no	—
855	#2970	D₅₃	1	1	yes	characteristic, complemented
856	#2969	—	53	1	no	—
857	#2969	—	53	1	no	—
858	#2968	—	53	1	no	—
859	#2968	—	53	1	no	—
860	#2968	—	53	1	no	—
861	#2968	—	53	1	no	—
862	#2967	—	53	1	no	—
863	#2967	—	53	1	no	—
864	#2967	—	53	1	no	—
865	#2967	—	53	1	no	—
866	#2966	—	53	1	no	—
867	#2966	—	53	1	no	—
868	#2965	—	53	1	no	—
869	#2965	—	53	1	no	—
870	#2962	—	53	1	no	—
871	#2961	—	53	1	no	—
872	D₄×M₁₆	—	53	1	no	—
873	#2933	—	53	1	no	—
874	#2933	—	53	1	no	—
875	#2930	—	53	1	no	—
876	#2929	—	53	1	no	—
877	C₂×#435	—	53	1	no	—
878	#2925	—	53	1	no	—
879	#2924	—	53	1	no	—
880	#2924	—	53	1	no	—
881	#2875	—	53	1	no	—
882	#2873	—	53	1	no	—
883	C₂×#405	—	53	1	no	—
884	C₂×C₅₃	—	2	2	no	—
885	C₂×C₅₃	—	4	1	no	—
886	C₂×C₅₃	—	4	1	no	—
887	C₂×C₅₃	C₂×C₄×#41	1	1	yes	characteristic
888	C₂×C₅₃	C₂×#568	1	1	yes	characteristic
889	C₂×C₅₃	#3573	1	1	yes	characteristic
890	D₅₃	—	2	2	no	—
891	D₅₃	—	4	1	no	—
892	D₅₃	—	4	1	no	—
893	D₅₃	—	4	1	no	—
894	C₂×#131	—	53	1	no	—
895	C₂×#131	—	53	1	no	—
896	C₂²×M₁₆	—	53	1	no	—
897	C₂²×M₁₆	—	53	1	no	—
898	C₂²×M₁₆	—	53	1	no	—
899	C₂³×C₈	—	53	1	no	—
900	#556	—	53	1	no	—
901	#555	—	53	1	no	—
902	#554	—	53	1	no	—
903	#553	—	53	1	no	—
904	#553	—	53	1	no	—
905	#552	—	53	1	no	—
906	#552	—	53	1	no	—
907	#552	—	53	1	no	—
908	#552	—	53	1	no	—
909	#551	—	53	1	no	—
910	#551	—	53	1	no	—
911	#551	—	53	1	no	—
912	#551	—	53	1	no	—
913	#547	—	53	1	no	—
914	#546	—	53	1	no	—
915	#546	—	53	1	no	—
916	#533	—	53	1	no	—
917	#529	—	53	1	no	—
918	#529	—	53	1	no	—
919	#529	—	53	1	no	—
920	#529	—	53	1	no	—
921	#529	—	53	1	no	—
922	#529	—	53	1	no	—
923	#525	—	53	1	no	—
924	#525	—	53	1	no	—
925	C₄×#41	—	53	1	no	—
926	C₄×#41	—	53	1	no	—
927	C₄×#41	C₂×D₅₃	1	1	yes	characteristic
928	C₂×C₄×D₄	—	53	1	no	—
929	C₂×#117	—	53	1	no	—
930	C₂×#117	—	53	1	no	—
931	#446	—	53	1	no	—
932	#446	—	53	1	no	—
933	#446	—	53	1	no	—
934	#446	—	53	1	no	—
935	#446	—	53	1	no	—
936	#446	—	53	1	no	—
937	#446	—	53	1	no	—
938	#446	—	53	1	no	—
939	#446	—	53	1	no	—
940	#446	—	53	1	no	—
941	#446	—	53	1	no	—
942	#446	—	53	1	no	—
943	#446	C₂×D₅₃	1	1	yes	characteristic, complemented
944	#446	C₂×D₅₃	1	1	yes	characteristic, complemented
945	C₈×Q₈	—	53	1	no	—
946	C₈×Q₈	—	53	1	no	—
947	#436	—	53	1	no	—
948	#436	—	53	1	no	—
949	#436	—	53	1	no	—
950	#436	—	53	1	no	—
951	#436	—	53	1	no	—
952	#436	—	53	1	no	—
953	#436	—	53	1	no	—
954	#436	—	53	1	no	—
955	#436	—	53	1	no	—
956	#436	—	53	1	no	—
957	#435	—	53	1	no	—
958	#435	—	53	1	no	—
959	#435	—	53	1	no	—
960	#435	—	53	1	no	—
961	#435	—	53	1	no	—
962	#435	—	53	1	no	—
963	#435	—	53	1	no	—
964	#435	—	53	1	no	—
965	#435	—	53	1	no	—
966	#435	—	53	1	no	—
967	#435	—	53	1	no	—
968	#435	—	53	1	no	—
969	#435	—	53	1	no	—
970	#435	—	53	1	no	—
971	#435	—	53	1	no	—
972	#435	—	53	1	no	—
973	#435	—	53	1	no	—
974	#435	—	53	1	no	—
975	#435	—	53	1	no	—
976	#435	—	53	1	no	—
977	#435	—	53	1	no	—
978	#435	—	53	1	no	—
979	#435	—	53	1	no	—
980	#435	—	53	1	no	—
981	#435	C₂×D₅₃	1	1	yes	characteristic
982	#435	C₂×D₅₃	1	1	yes	characteristic
983	#435	C₂×D₅₃	1	1	yes	characteristic, complemented
984	#435	C₂×D₅₃	1	1	yes	characteristic, complemented
985	C₈×D₄	—	53	1	no	—
986	C₈×D₄	—	53	1	no	—
987	C₈×D₄	—	53	1	no	—
988	C₈×D₄	—	53	1	no	—
989	C₈×D₄	—	53	1	no	—
990	C₈×D₄	—	53	1	no	—
991	C₈×D₄	—	53	1	no	—
992	C₈×D₄	—	53	1	no	—
993	C₈×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
994	C₈×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
995	#433	—	53	1	no	—
996	#433	—	53	1	no	—
997	#433	—	53	1	no	—
998	#433	—	53	1	no	—
999	#433	—	53	1	no	—
1000	#433	—	53	1	no	—
1001	#433	—	53	1	no	—
1002	#433	—	53	1	no	—
1003	#433	—	53	1	no	—
1004	#433	—	53	1	no	—
1005	#433	—	53	1	no	—
1006	#433	—	53	1	no	—
1007	#432	—	53	1	no	—
1008	#432	—	53	1	no	—
1009	#432	—	53	1	no	—
1010	#432	C₂×D₅₃	1	1	yes	characteristic, complemented
1011	#432	C₂×D₅₃	1	1	yes	characteristic, complemented
1012	#432	C₂×D₅₃	1	1	yes	characteristic, complemented
1013	#431	—	53	1	no	—
1014	#431	—	53	1	no	—
1015	#431	—	53	1	no	—
1016	#431	—	53	1	no	—
1017	#431	—	53	1	no	—
1018	#431	—	53	1	no	—
1019	#424	—	53	1	no	—
1020	#424	—	53	1	no	—
1021	#424	—	53	1	no	—
1022	#424	—	53	1	no	—
1023	#423	—	53	1	no	—
1024	C₂×C₄⋊C₈	—	53	1	no	—
1025	#408	—	53	1	no	—
1026	#408	—	53	1	no	—
1027	#407	—	53	1	no	—
1028	#407	—	53	1	no	—
1029	C₂×C₂²⋊C₈	—	53	1	no	—
1030	C₂×C₂²⋊C₈	—	53	1	no	—
1031	#405	—	53	1	no	—
1032	#405	—	53	1	no	—
1033	#405	—	53	1	no	—
1034	#405	—	53	1	no	—
1035	#405	—	53	1	no	—
1036	#405	—	53	1	no	—
1037	#405	—	53	1	no	—
1038	#405	—	53	1	no	—
1039	#405	—	53	1	no	—
1040	#405	—	53	1	no	—
1041	#405	—	53	1	no	—
1042	#405	—	53	1	no	—
1043	#405	—	53	1	no	—
1044	#405	—	53	1	no	—
1045	#405	—	53	1	no	—
1046	#405	—	53	1	no	—
1047	#405	—	53	1	no	—
1048	#405	—	53	1	no	—
1049	#405	—	53	1	no	—
1050	#405	—	53	1	no	—
1051	C₄×M₁₆	—	53	1	no	—
1052	C₄×M₁₆	—	53	1	no	—
1053	C₄×M₁₆	—	53	1	no	—
1054	C₄×M₁₆	—	53	1	no	—
1055	C₄×M₁₆	—	53	1	no	—
1056	C₄×M₁₆	—	53	1	no	—
1057	C₄×M₁₆	C₂×D₅₃	1	1	yes	characteristic, complemented
1058	C₂×#97	—	53	1	no	—
1059	C₂×#97	—	53	1	no	—
1060	C₂×#97	—	53	1	no	—
1061	C₂×#97	C₂×D₅₃	1	1	yes	characteristic, complemented
1062	C₂×#97	C₂×D₅₃	1	1	yes	characteristic, complemented
1063	C₂×C₄×C₈	—	53	1	no	—
1064	C₂×C₄×C₈	—	53	1	no	—
1065	C₅₃	#60216	1	1	yes	characteristic, complemented, Sylow
1066	C₂×#41	—	53	1	no	—
1067	C₂×#41	—	53	1	no	—
1068	C₂×#41	C₄×D₅₃	1	1	yes	characteristic
1069	C₂²×D₄	—	53	1	no	—
1070	C₂³×C₄	—	53	1	no	—
1071	C₂³×C₄	—	53	1	no	—
1072	#131	—	106	4	no	—
1073	#131	—	106	4	no	—
1074	C₂×M₁₆	—	53	1	no	—
1075	C₂×M₁₆	—	53	1	no	—
1076	C₂×M₁₆	—	53	1	no	—
1077	C₂×M₁₆	—	53	1	no	—
1078	C₂×M₁₆	—	53	1	no	—
1079	C₂×M₁₆	—	53	1	no	—
1080	C₂×M₁₆	—	53	1	no	—
1081	C₂×M₁₆	—	53	1	no	—
1082	C₂×M₁₆	—	53	1	no	—
1083	C₂×M₁₆	—	53	1	no	—
1084	C₂×M₁₆	—	53	1	no	—
1085	C₂×M₁₆	—	53	1	no	—
1086	C₂×M₁₆	—	53	1	no	—
1087	C₂×M₁₆	—	53	1	no	—
1088	C₂×M₁₆	—	106	4	no	—
1089	C₂×M₁₆	—	106	4	no	—
1090	C₂×M₁₆	—	106	4	no	—
1091	C₂×M₁₆	C₂²×D₅₃	1	1	yes	characteristic
1092	C₂×M₁₆	C₂²×D₅₃	1	1	yes	characteristic
1093	C₂²×C₈	—	53	1	no	—
1094	C₂²×C₈	—	53	1	no	—
1095	C₂²×C₈	—	53	1	no	—
1096	C₂²×C₈	—	53	1	no	—
1097	C₂²×C₈	—	53	1	no	—
1098	C₂²×C₈	—	53	1	no	—
1099	C₂²×C₈	—	53	1	no	—
1100	C₂²×C₈	—	53	1	no	—
1101	C₂²×C₈	—	53	1	no	—
1102	C₂²×C₈	—	53	1	no	—
1103	C₂²×C₈	—	53	1	no	—
1104	C₂²×C₈	—	53	1	no	—
1105	C₂²×C₈	—	106	4	no	—
1106	C₂²×C₈	C₂²×D₅₃	1	1	yes	characteristic
1107	C₂²×C₈	C₂²×D₅₃	1	1	yes	characteristic
1108	C₂²×C₈	C₂²×D₅₃	1	1	yes	characteristic
1109	C₂²×C₈	C₂²×D₅₃	1	1	yes	characteristic
1110	C₄⋊Q₈	—	53	1	no	—
1111	C₄⋊Q₈	—	53	1	no	—
1112	#126	—	53	1	no	—
1113	#126	—	53	1	no	—
1114	#126	—	53	1	no	—
1115	#126	—	53	1	no	—
1116	#126	—	53	1	no	—
1117	#126	—	53	1	no	—
1118	#126	—	53	1	no	—
1119	#126	—	53	1	no	—
1120	#126	—	53	1	no	—
1121	#126	—	53	1	no	—
1122	#126	—	53	1	no	—
1123	#126	—	53	1	no	—
1124	#125	—	53	1	no	—
1125	#125	—	53	1	no	—
1126	#125	—	53	1	no	—
1127	#125	—	53	1	no	—
1128	#125	—	53	1	no	—
1129	#125	—	53	1	no	—
1130	#125	—	53	1	no	—
1131	#125	—	53	1	no	—
1132	#124	—	53	1	no	—
1133	#124	—	53	1	no	—
1134	#124	—	53	1	no	—
1135	#124	—	53	1	no	—
1136	#124	—	53	1	no	—
1137	#124	—	53	1	no	—
1138	#123	—	53	1	no	—
1139	#123	—	53	1	no	—
1140	#123	—	53	1	no	—
1141	#123	—	53	1	no	—
1142	#123	—	53	1	no	—
1143	#123	—	53	1	no	—
1144	#123	—	53	1	no	—
1145	#123	—	53	1	no	—
1146	#123	—	53	1	no	—
1147	#123	—	53	1	no	—
1148	#123	—	53	1	no	—
1149	#123	—	53	1	no	—
1150	#123	—	53	1	no	—
1151	#123	—	53	1	no	—
1152	#123	—	53	1	no	—
1153	#123	—	53	1	no	—
1154	C₂²⋊Q₈	—	53	1	no	—
1155	C₂²⋊Q₈	—	53	1	no	—
1156	C₂²⋊Q₈	—	53	1	no	—
1157	C₂²⋊Q₈	—	53	1	no	—
1158	C₂²⋊Q₈	—	53	1	no	—
1159	C₂²⋊Q₈	—	53	1	no	—
1160	C₂²⋊Q₈	—	53	1	no	—
1161	C₂²⋊Q₈	—	53	1	no	—
1162	C₂²⋊Q₈	—	53	1	no	—
1163	C₂²⋊Q₈	—	53	1	no	—
1164	C₂²⋊Q₈	—	53	1	no	—
1165	C₂²⋊Q₈	—	53	1	no	—
1166	C₂²⋊Q₈	—	53	1	no	—
1167	C₂²⋊Q₈	—	53	1	no	—
1168	#121	—	53	1	no	—
1169	#121	—	53	1	no	—
1170	#121	—	53	1	no	—
1171	#121	—	53	1	no	—
1172	#121	—	53	1	no	—
1173	#121	—	53	1	no	—
1174	#121	—	53	1	no	—
1175	#121	—	53	1	no	—
1176	#121	—	53	1	no	—
1177	#121	—	53	1	no	—
1178	#120	—	53	1	no	—
1179	#120	—	53	1	no	—
1180	#120	—	53	1	no	—
1181	#120	—	53	1	no	—
1182	C₄×Q₈	—	53	1	no	—
1183	C₄×Q₈	—	53	1	no	—
1184	C₄×Q₈	—	53	1	no	—
1185	C₄×Q₈	—	53	1	no	—
1186	C₄×Q₈	—	53	1	no	—
1187	C₄×Q₈	—	53	1	no	—
1188	C₄×Q₈	C₄×D₅₃	1	1	yes	characteristic
1189	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1190	C₄×D₄	—	53	1	no	—
1191	C₄×D₄	—	53	1	no	—
1192	C₄×D₄	—	53	1	no	—
1193	C₄×D₄	—	53	1	no	—
1194	C₄×D₄	—	53	1	no	—
1195	C₄×D₄	—	53	1	no	—
1196	C₄×D₄	—	53	1	no	—
1197	C₄×D₄	—	53	1	no	—
1198	C₄×D₄	—	53	1	no	—
1199	C₄×D₄	—	53	1	no	—
1200	C₄×D₄	—	53	1	no	—
1201	C₄×D₄	—	53	1	no	—
1202	C₄×D₄	—	53	1	no	—
1203	C₄×D₄	—	53	1	no	—
1204	C₄×D₄	—	53	1	no	—
1205	C₄×D₄	—	53	1	no	—
1206	C₄×D₄	—	53	1	no	—
1207	C₄×D₄	—	53	1	no	—
1208	C₄×D₄	—	53	1	no	—
1209	C₄×D₄	—	53	1	no	—
1210	C₄×D₄	—	53	1	no	—
1211	C₄×D₄	—	53	1	no	—
1212	C₄×D₄	C₄×D₅₃	1	1	yes	characteristic
1213	C₄×D₄	C₄×D₅₃	1	1	yes	characteristic
1214	C₄×D₄	C₄×D₅₃	1	1	yes	characteristic
1215	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1216	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1217	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1218	#117	—	53	1	no	—
1219	#117	—	53	1	no	—
1220	#117	—	53	1	no	—
1221	#117	—	53	1	no	—
1222	#117	—	53	1	no	—
1223	#117	—	53	1	no	—
1224	#117	—	53	1	no	—
1225	#117	—	53	1	no	—
1226	#117	—	53	1	no	—
1227	#117	—	53	1	no	—
1228	#117	—	53	1	no	—
1229	#117	—	53	1	no	—
1230	#117	—	53	1	no	—
1231	#117	—	53	1	no	—
1232	#117	—	53	1	no	—
1233	#117	—	53	1	no	—
1234	#117	—	53	1	no	—
1235	#117	—	53	1	no	—
1236	#117	—	53	1	no	—
1237	#117	—	53	1	no	—
1238	#117	C₄×D₅₃	1	1	yes	characteristic
1239	#117	C₄×D₅₃	1	1	yes	characteristic
1240	#117	C₄×D₅₃	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	—	53	1	no	—
1242	C₂×C₄⋊C₄	—	53	1	no	—
1243	C₂×C₄⋊C₄	—	53	1	no	—
1244	C₂×C₄⋊C₄	—	53	1	no	—
1245	C₂×C₄⋊C₄	—	53	1	no	—
1246	C₂×C₂²⋊C₄	—	53	1	no	—
1247	C₂×C₂²⋊C₄	—	53	1	no	—
1248	C₂×C₂²⋊C₄	—	53	1	no	—
1249	C₂×C₂²⋊C₄	—	53	1	no	—
1250	C₂×C₂²⋊C₄	—	53	1	no	—
1251	C₂×C₂²⋊C₄	—	53	1	no	—
1252	C₂×C₄²	—	53	1	no	—
1253	C₂×C₄²	—	53	1	no	—
1254	C₂×C₄²	—	53	1	no	—
1255	C₂×C₄²	—	53	1	no	—
1256	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1257	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1258	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1259	C₄⋊C₈	—	53	1	no	—
1260	C₄⋊C₈	—	53	1	no	—
1261	C₄⋊C₈	—	53	1	no	—
1262	C₄⋊C₈	—	53	1	no	—
1263	C₄⋊C₈	—	53	1	no	—
1264	C₄⋊C₈	—	53	1	no	—
1265	C₄⋊C₈	—	53	1	no	—
1266	C₄⋊C₈	—	53	1	no	—
1267	C₄⋊C₈	—	53	1	no	—
1268	C₄⋊C₈	—	53	1	no	—
1269	C₄⋊C₈	—	53	1	no	—
1270	C₄⋊C₈	—	53	1	no	—
1271	C₄⋊C₈	—	53	1	no	—
1272	C₄⋊C₈	—	53	1	no	—
1273	C₄⋊C₈	—	53	1	no	—
1274	C₄⋊C₈	—	53	1	no	—
1275	C₄⋊C₈	—	53	1	no	—
1276	C₄⋊C₈	—	53	1	no	—
1277	C₄⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1278	C₄⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1279	C₄⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1280	C₄⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1281	C₄⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1282	C₄⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1283	C₂²⋊C₈	—	53	1	no	—
1284	C₂²⋊C₈	—	53	1	no	—
1285	C₂²⋊C₈	—	53	1	no	—
1286	C₂²⋊C₈	—	53	1	no	—
1287	C₂²⋊C₈	—	53	1	no	—
1288	C₂²⋊C₈	—	53	1	no	—
1289	C₂²⋊C₈	—	53	1	no	—
1290	C₂²⋊C₈	—	53	1	no	—
1291	C₂²⋊C₈	—	53	1	no	—
1292	C₂²⋊C₈	—	53	1	no	—
1293	C₂²⋊C₈	—	53	1	no	—
1294	C₂²⋊C₈	—	53	1	no	—
1295	C₂²⋊C₈	—	53	1	no	—
1296	C₂²⋊C₈	—	53	1	no	—
1297	C₂²⋊C₈	—	53	1	no	—
1298	C₂²⋊C₈	—	53	1	no	—
1299	C₂²⋊C₈	—	53	1	no	—
1300	C₂²⋊C₈	—	53	1	no	—
1301	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1302	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1303	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1304	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1305	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1306	C₂²⋊C₈	C₂²×D₅₃	1	1	yes	characteristic
1307	#97	—	53	1	no	—
1308	#97	—	53	1	no	—
1309	#97	—	53	1	no	—
1310	#97	—	53	1	no	—
1311	#97	—	53	1	no	—
1312	#97	—	53	1	no	—
1313	#97	—	53	1	no	—
1314	#97	—	53	1	no	—
1315	#97	—	53	1	no	—
1316	#97	—	53	1	no	—
1317	#97	—	53	1	no	—
1318	#97	—	53	1	no	—
1319	#97	—	53	1	no	—
1320	#97	—	53	1	no	—
1321	#97	C₂²×D₅₃	1	1	yes	characteristic
1322	#97	C₂²×D₅₃	1	1	yes	characteristic
1323	#97	C₂²×D₅₃	1	1	yes	characteristic
1324	#97	C₂²×D₅₃	1	1	yes	characteristic
1325	#97	C₂²×D₅₃	1	1	yes	characteristic
1326	#97	C₂²×D₅₃	1	1	yes	characteristic
1327	#97	C₂²×D₅₃	1	1	yes	characteristic
1328	#97	C₂²×D₅₃	1	1	yes	characteristic
1329	C₄×C₈	—	53	1	no	—
1330	C₄×C₈	—	53	1	no	—
1331	C₄×C₈	—	53	1	no	—
1332	C₄×C₈	—	53	1	no	—
1333	C₄×C₈	—	53	1	no	—
1334	C₄×C₈	—	53	1	no	—
1335	C₄×C₈	—	53	1	no	—
1336	C₄×C₈	—	53	1	no	—
1337	C₄×C₈	—	53	1	no	—
1338	C₄×C₈	—	53	1	no	—
1339	C₄×C₈	—	53	1	no	—
1340	C₄×C₈	—	53	1	no	—
1341	C₄×C₈	—	53	1	no	—
1342	C₄×C₈	—	53	1	no	—
1343	C₄×C₈	—	53	1	no	—
1344	C₄×C₈	—	53	1	no	—
1345	C₄×C₈	C₂²×D₅₃	1	1	yes	characteristic
1346	C₄×C₈	C₂²×D₅₃	1	1	yes	characteristic
1347	C₂⁴	—	53	1	no	—
1348	C₂⁴	—	53	1	no	—
1349	#41	—	4	2	no	—
1350	#41	—	106	2	no	—
1351	#41	—	106	2	no	—
1352	#41	—	212	2	no	—
1353	C₂×Q₈	—	53	1	no	—
1354	C₂×Q₈	—	53	1	no	—
1355	C₂×Q₈	—	53	1	no	—
1356	C₂×Q₈	—	53	1	no	—
1357	C₂×Q₈	C₂×C₄×D₅₃	1	1	yes	characteristic
1358	C₂×D₄	—	53	1	no	—
1359	C₂×D₄	—	53	1	no	—
1360	C₂×D₄	—	53	1	no	—
1361	C₂×D₄	—	53	1	no	—
1362	C₂×D₄	—	53	1	no	—
1363	C₂×D₄	—	53	1	no	—
1364	C₂×D₄	—	53	1	no	—
1365	C₂×D₄	—	53	1	no	—
1366	C₂×D₄	—	53	1	no	—
1367	C₂×D₄	—	53	1	no	—
1368	C₂×D₄	—	53	1	no	—
1369	C₂×D₄	—	53	1	no	—
1370	C₂×D₄	—	212	2	no	—
1371	C₂×D₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1372	C₂×D₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1373	C₂×D₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1374	C₂²×C₄	—	53	1	no	—
1375	C₂²×C₄	—	53	1	no	—
1376	C₂²×C₄	—	53	1	no	—
1377	C₂²×C₄	—	53	1	no	—
1378	C₂²×C₄	—	53	1	no	—
1379	C₂²×C₄	—	53	1	no	—
1380	C₂²×C₄	—	53	1	no	—
1381	C₂²×C₄	—	53	1	no	—
1382	C₂²×C₄	—	53	1	no	—
1383	C₂²×C₄	—	53	1	no	—
1384	C₂²×C₄	—	53	1	no	—
1385	C₂²×C₄	—	53	1	no	—
1386	C₂²×C₄	—	53	1	no	—
1387	C₂²×C₄	—	53	1	no	—
1388	C₂²×C₄	—	53	1	no	—
1389	C₂²×C₄	—	53	1	no	—
1390	C₂²×C₄	—	53	1	no	—
1391	C₂²×C₄	—	53	1	no	—
1392	C₂²×C₄	—	106	2	no	—
1393	C₂²×C₄	—	106	2	no	—
1394	C₂²×C₄	—	106	2	no	—
1395	C₂²×C₄	—	106	2	no	—
1396	C₂²×C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1397	C₂²×C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1398	C₂²×C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1399	C₂²×C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1400	C₂²×C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1401	C₂²×C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1402	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1403	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1404	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1405	M₁₆	—	2	2	no	—
1406	M₁₆	—	2	2	no	—
1407	M₁₆	—	53	4	no	—
1408	M₁₆	—	106	2	no	—
1409	M₁₆	—	106	2	no	—
1410	M₁₆	—	106	2	no	—
1411	M₁₆	—	106	2	no	—
1412	M₁₆	—	106	2	no	—
1413	M₁₆	—	106	2	no	—
1414	M₁₆	—	106	2	no	—
1415	M₁₆	—	106	2	no	—
1416	M₁₆	—	106	2	no	—
1417	M₁₆	—	106	2	no	—
1418	M₁₆	—	106	2	no	—
1419	M₁₆	—	106	2	no	—
1420	M₁₆	—	106	2	no	—
1421	C₂×C₈	—	2	2	no	—
1422	C₂×C₈	—	2	2	no	—
1423	C₂×C₈	—	2	2	no	—
1424	C₂×C₈	—	2	2	no	—
1425	C₂×C₈	—	53	1	no	—
1426	C₂×C₈	—	53	1	no	—
1427	C₂×C₈	—	53	4	no	—
1428	C₂×C₈	—	53	1	no	—
1429	C₂×C₈	—	53	1	no	—
1430	C₂×C₈	—	53	1	no	—
1431	C₂×C₈	—	53	1	no	—
1432	C₂×C₈	—	53	1	no	—
1433	C₂×C₈	—	53	1	no	—
1434	C₂×C₈	—	106	2	no	—
1435	C₂×C₈	—	106	2	no	—
1436	C₂×C₈	—	106	2	no	—
1437	C₂×C₈	—	106	2	no	—
1438	C₂×C₈	—	106	2	no	—
1439	C₂×C₈	—	106	2	no	—
1440	C₂×C₈	—	106	2	no	—
1441	C₂×C₈	—	106	2	no	—
1442	C₂×C₈	—	106	2	no	—
1443	C₂×C₈	—	106	2	no	—
1444	C₂×C₈	—	106	2	no	—
1445	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1446	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1447	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1448	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1449	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1450	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1451	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1452	C₂×C₈	C₂³×D₅₃	1	1	yes	characteristic
1453	C₄⋊C₄	—	53	1	no	—
1454	C₄⋊C₄	—	53	1	no	—
1455	C₄⋊C₄	—	53	1	no	—
1456	C₄⋊C₄	—	53	1	no	—
1457	C₄⋊C₄	—	53	1	no	—
1458	C₄⋊C₄	—	53	1	no	—
1459	C₄⋊C₄	—	53	1	no	—
1460	C₄⋊C₄	—	53	1	no	—
1461	C₄⋊C₄	—	53	1	no	—
1462	C₄⋊C₄	—	53	1	no	—
1463	C₄⋊C₄	—	53	1	no	—
1464	C₄⋊C₄	—	53	1	no	—
1465	C₄⋊C₄	—	53	1	no	—
1466	C₄⋊C₄	—	53	1	no	—
1467	C₄⋊C₄	—	53	1	no	—
1468	C₄⋊C₄	—	53	1	no	—
1469	C₄⋊C₄	—	53	1	no	—
1470	C₄⋊C₄	—	53	1	no	—
1471	C₄⋊C₄	—	53	1	no	—
1472	C₄⋊C₄	—	53	1	no	—
1473	C₄⋊C₄	—	53	1	no	—
1474	C₄⋊C₄	—	53	1	no	—
1475	C₄⋊C₄	—	53	1	no	—
1476	C₄⋊C₄	—	53	1	no	—
1477	C₄⋊C₄	—	53	1	no	—
1478	C₄⋊C₄	—	53	1	no	—
1479	C₄⋊C₄	—	53	1	no	—
1480	C₄⋊C₄	—	53	1	no	—
1481	C₄⋊C₄	—	53	1	no	—
1482	C₄⋊C₄	—	53	1	no	—
1483	C₄⋊C₄	—	53	1	no	—
1484	C₄⋊C₄	—	53	1	no	—
1485	C₄⋊C₄	—	53	1	no	—
1486	C₄⋊C₄	—	53	1	no	—
1487	C₄⋊C₄	—	53	1	no	—
1488	C₄⋊C₄	—	53	1	no	—
1489	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1490	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1491	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1492	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1493	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1494	C₄⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1495	C₂²⋊C₄	—	53	1	no	—
1496	C₂²⋊C₄	—	53	1	no	—
1497	C₂²⋊C₄	—	53	1	no	—
1498	C₂²⋊C₄	—	53	1	no	—
1499	C₂²⋊C₄	—	53	1	no	—
1500	C₂²⋊C₄	—	53	1	no	—
1501	C₂²⋊C₄	—	53	1	no	—
1502	C₂²⋊C₄	—	53	1	no	—
1503	C₂²⋊C₄	—	53	1	no	—
1504	C₂²⋊C₄	—	53	1	no	—
1505	C₂²⋊C₄	—	53	1	no	—
1506	C₂²⋊C₄	—	53	1	no	—
1507	C₂²⋊C₄	—	53	1	no	—
1508	C₂²⋊C₄	—	53	1	no	—
1509	C₂²⋊C₄	—	53	1	no	—
1510	C₂²⋊C₄	—	53	1	no	—
1511	C₂²⋊C₄	—	53	1	no	—
1512	C₂²⋊C₄	—	53	1	no	—
1513	C₂²⋊C₄	—	53	1	no	—
1514	C₂²⋊C₄	—	53	1	no	—
1515	C₂²⋊C₄	—	53	1	no	—
1516	C₂²⋊C₄	—	53	1	no	—
1517	C₂²⋊C₄	—	53	1	no	—
1518	C₂²⋊C₄	—	53	1	no	—
1519	C₂²⋊C₄	—	53	1	no	—
1520	C₂²⋊C₄	—	53	1	no	—
1521	C₂²⋊C₄	—	53	1	no	—
1522	C₂²⋊C₄	—	53	1	no	—
1523	C₂²⋊C₄	—	53	1	no	—
1524	C₂²⋊C₄	—	53	1	no	—
1525	C₂²⋊C₄	—	53	1	no	—
1526	C₂²⋊C₄	—	53	1	no	—
1527	C₂²⋊C₄	—	53	1	no	—
1528	C₂²⋊C₄	—	53	1	no	—
1529	C₂²⋊C₄	—	53	1	no	—
1530	C₂²⋊C₄	—	53	1	no	—
1531	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1532	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1533	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1534	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1535	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1536	C₂²⋊C₄	C₂×C₄×D₅₃	1	1	yes	characteristic
1537	C₄²	—	53	1	no	—
1538	C₄²	—	53	1	no	—
1539	C₄²	—	53	1	no	—
1540	C₄²	—	53	1	no	—
1541	C₄²	—	53	1	no	—
1542	C₄²	—	53	1	no	—
1543	C₄²	—	53	1	no	—
1544	C₄²	—	53	1	no	—
1545	C₄²	—	53	1	no	—
1546	C₄²	—	53	1	no	—
1547	C₄²	—	53	1	no	—
1548	C₄²	—	53	1	no	—
1549	C₄²	C₂×C₄×D₅₃	1	1	yes	characteristic
1550	C₄²	C₂×C₄×D₅₃	1	1	yes	characteristic
1551	C₄²	C₂×C₄×D₅₃	1	1	yes	characteristic
1552	C₄²	C₂×C₄×D₅₃	1	1	yes	characteristic
1553	C₄²	C₂×C₄×D₅₃	1	1	yes	characteristic
1554	C₄²	C₂×C₄×D₅₃	1	1	yes	characteristic
1555	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1556	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1557	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1558	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1559	C₂³	—	53	1	no	—
1560	C₂³	—	53	1	no	—
1561	C₂³	—	53	1	no	—
1562	C₂³	—	53	1	no	—
1563	C₂³	—	106	2	no	—
1564	C₂³	—	106	2	no	—
1565	C₂³	—	106	2	no	—
1566	C₂³	—	212	1	no	—
1567	C₂³	—	212	1	no	—
1568	C₂³	—	212	1	no	—
1569	C₂³	C₂²×C₄×D₅₃	1	1	yes	characteristic
1570	C₂³	C₂²×C₄×D₅₃	1	1	yes	characteristic
1571	C₂³	C₂²×C₄×D₅₃	1	1	yes	characteristic
1572	Q₈	—	4	1	no	—
1573	Q₈	—	106	2	no	—
1574	Q₈	—	212	1	no	—
1575	Q₈	—	212	1	no	—
1576	Q₈	—	212	1	no	—
1577	D₄	—	2	2	no	—
1578	D₄	—	2	2	no	—
1579	D₄	—	4	1	no	—
1580	D₄	—	106	2	no	—
1581	D₄	—	106	2	no	—
1582	D₄	—	106	2	no	—
1583	D₄	—	106	2	no	—
1584	D₄	—	106	2	no	—
1585	D₄	—	212	1	no	—
1586	D₄	—	212	1	no	—
1587	D₄	—	212	1	no	—
1588	D₄	—	212	1	no	—
1589	D₄	—	212	1	no	—
1590	D₄	—	212	1	no	—
1591	D₄	—	212	1	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	2	1	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	4	1	no	—
1600	C₂×C₄	—	4	1	no	—
1601	C₂×C₄	—	4	1	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	53	1	no	—
1605	C₂×C₄	—	53	2	no	—
1606	C₂×C₄	—	53	2	no	—
1607	C₂×C₄	—	53	1	no	—
1608	C₂×C₄	—	53	1	no	—
1609	C₂×C₄	—	53	1	no	—
1610	C₂×C₄	—	53	1	no	—
1611	C₂×C₄	—	53	1	no	—
1612	C₂×C₄	—	53	1	no	—
1613	C₂×C₄	—	53	1	no	—
1614	C₂×C₄	—	53	1	no	—
1615	C₂×C₄	—	53	1	no	—
1616	C₂×C₄	—	53	1	no	—
1617	C₂×C₄	—	53	1	no	—
1618	C₂×C₄	—	106	2	no	—
1619	C₂×C₄	—	106	2	no	—
1620	C₂×C₄	—	106	2	no	—
1621	C₂×C₄	—	106	2	no	—
1622	C₂×C₄	—	106	2	no	—
1623	C₂×C₄	—	106	2	no	—
1624	C₂×C₄	—	106	2	no	—
1625	C₂×C₄	—	106	1	no	—
1626	C₂×C₄	—	106	1	no	—
1627	C₂×C₄	—	106	1	no	—
1628	C₂×C₄	—	106	1	no	—
1629	C₂×C₄	—	106	1	no	—
1630	C₂×C₄	—	106	1	no	—
1631	C₂×C₄	—	212	1	no	—
1632	C₂×C₄	—	212	1	no	—
1633	C₂×C₄	—	212	1	no	—
1634	C₂×C₄	—	212	1	no	—
1635	C₂×C₄	—	212	1	no	—
1636	C₂×C₄	—	212	1	no	—
1637	C₂×C₄	—	212	1	no	—
1638	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1641	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1642	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1643	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1644	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1645	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1646	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1647	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1648	C₂×C₄	C₂²×C₄×D₅₃	1	1	yes	characteristic
1649	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1650	C₈	—	2	1	no	—
1651	C₈	—	2	1	no	—
1652	C₈	—	2	1	no	—
1653	C₈	—	2	1	no	—
1654	C₈	—	2	1	no	—
1655	C₈	—	2	1	no	—
1656	C₈	—	53	2	no	—
1657	C₈	—	53	2	no	—
1658	C₈	—	106	1	no	—
1659	C₈	—	106	1	no	—
1660	C₈	—	106	1	no	—
1661	C₈	—	106	1	no	—
1662	C₈	—	106	1	no	—
1663	C₈	—	106	1	no	—
1664	C₈	#41×D₅₃	1	2	yes	—
1665	C₈	#41×D₅₃	1	2	yes	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	53	2	no	—
1675	C₂²	—	106	1	no	—
1676	C₂²	—	106	1	no	—
1677	C₂²	—	106	1	no	—
1678	C₂²	—	106	1	no	—
1679	C₂²	—	106	1	no	—
1680	C₂²	—	106	1	no	—
1681	C₂²	—	106	1	no	—
1682	C₂²	—	106	1	no	—
1683	C₂²	—	106	1	no	—
1684	C₂²	—	106	1	no	—
1685	C₂²	—	106	1	no	—
1686	C₂²	—	424	2	no	—
1687	C₂²	—	212	4	no	—
1688	C₂²	#16811389	1	2	yes	—
1689	C₂²	C₂³×C₄×D₅₃	1	1	yes	characteristic
1690	C₄	—	2	1	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	1	no	—
1695	C₄	—	2	1	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	1	no	—
1701	C₄	—	53	2	no	—
1702	C₄	—	106	1	no	—
1703	C₄	—	106	1	no	—
1704	C₄	—	106	1	no	—
1705	C₄	—	106	1	no	—
1706	C₄	—	106	1	no	—
1707	C₄	—	106	1	no	—
1708	C₄	—	106	1	no	—
1709	C₄	—	106	1	no	—
1710	C₄	—	106	1	no	—
1711	C₄	—	106	1	no	—
1712	C₄	—	106	1	no	—
1713	C₄	C₂×#41×D₅₃	1	1	yes	characteristic
1714	C₄	C₂×#41×D₅₃	1	1	yes	characteristic
1715	C₂	—	2	2	no	—
1716	C₂	—	4	1	no	—
1717	C₂	—	4	1	no	—
1718	C₂	—	106	2	no	—
1719	C₂	—	212	1	no	—
1720	C₂	—	212	1	no	—
1721	C₂	—	212	1	no	—
1722	C₂	C₄×#41×D₅₃	1	1	yes	characteristic
1723	C₂	C₂×#16811389	1	1	yes	characteristic
1724	C₂	#20289428	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₅₃
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#2970	C₂
prime radical	#20288277	C₂
cosocle	C₂×C₄×C₅₃	C₂⁵
hypercenter	#2970	D₅₃
hypocenter	C₅₃	#60216
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ #2970

Complements

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

N	H ≅ G/N	type
2. #20283725	C₂	semidirect
3. #20283719	C₂	semidirect
4. #20283712	C₂	semidirect
5. #20283709	C₂	semidirect
6. #20283709	C₂	semidirect
7. #20283708	C₂	semidirect
8. #20283703	C₂	semidirect
9. #20283699	C₂	semidirect
10. #20283695	C₂	semidirect
11. #20283695	C₂	semidirect
12. #20283694	C₂	semidirect
13. #20283684	C₂	semidirect
14. #20283683	C₂	semidirect
15. #20283682	C₂	semidirect
16. #20283675	C₂	semidirect
17. #20283660	C₂	semidirect
18. #20283651	C₂	semidirect
19. #20283448	C₂	semidirect
20. #20283438	C₂	semidirect
21. #20283435	C₂	semidirect
22. #20283413	C₂	semidirect
23. #20283404	C₂	semidirect
24. #435×D₅₃	C₂	semidirect
25. #20283382	C₂	semidirect
26. #20283374	C₂	semidirect
27. #20283374	C₂	semidirect
28. #20283140	C₂	semidirect
29. #20283132	C₂	semidirect
30. C₂×#16810580	C₂	semidirect
31. C₅₃×#2970	C₂	semidirect
68. #16810754	C₂²	semidirect
69. #16810754	C₂²	semidirect
70. #16810753	C₂²	semidirect
71. #16810752	C₂²	semidirect
72. #16810752	C₂²	semidirect
73. #16810752	C₂²	semidirect
74. #16810752	C₂²	semidirect
75. #16810751	C₂²	semidirect
76. #16810751	C₂²	semidirect
77. #16810751	C₂²	semidirect
78. #16810751	C₂²	semidirect
79. #16810750	C₂²	semidirect
80. C₈×Dic₁₀₆	C₂²	semidirect
81. #16810747	C₂²	semidirect
82. #16810702	C₂²	semidirect
83. #16810701	C₂²	semidirect
84. #16810701	C₂²	semidirect
85. #16810700	C₂²	semidirect
87. #16810699	C₂²	semidirect
89. #16810698	C₂²	semidirect
90. #16810698	C₂²	semidirect
91. #16810698	C₂²	semidirect
93. #16810697	C₂²	semidirect
94. #16810697	C₂²	semidirect
95. #16810697	C₂²	semidirect
98. #16810696	C₂²	semidirect
99. #16810696	C₂²	semidirect
102. #16810695	C₂²	semidirect
103. #16810695	C₂²	semidirect
105. #16810694	C₂²	semidirect
106. #16810694	C₂²	semidirect
107. #16810694	C₂²	semidirect
110. #16810693	C₂²	semidirect
111. #16810693	C₂²	semidirect
113. #16810692	C₂²	semidirect
115. #16810691	C₂²	semidirect
116. C₈×D₂₁₂	C₂²	semidirect
117. #16810688	C₂²	semidirect
119. C₈×C₂²⋊D₅₃	C₂²	semidirect
120. C₈×C₂²⋊D₅₃	C₂²	semidirect
121. C₈×C₂²⋊D₅₃	C₂²	semidirect
123. #16810686	C₂²	semidirect
124. #16810685	C₂²	semidirect
125. #16810685	C₂²	semidirect
126. #16810685	C₂²	semidirect
127. #16810685	C₂²	semidirect
128. #16810685	C₂²	semidirect
129. #16810685	C₂²	semidirect
130. #16810683	C₂²	semidirect
131. #16810683	C₂²	semidirect
132. #16810683	C₂²	semidirect
133. #16810683	C₂²	semidirect
134. #16810681	C₂²	semidirect
135. #16810681	C₂²	semidirect
136. #16810679	C₂²	semidirect
137. #16810677	C₂²	semidirect
138. #16810677	C₂²	semidirect
139. #16810676	C₂²	semidirect
140. #16810676	C₂²	semidirect
141. #16810676	C₂²	semidirect
142. #16810675	C₂²	semidirect
143. #16810673	C₂²	semidirect
144. #16810673	C₂²	semidirect
163. #16810580	C₂²	semidirect
164. #16810580	C₂²	semidirect
165. #16810580	C₂²	semidirect
166. #16810580	C₂²	semidirect
167. #16810580	C₂²	semidirect
168. #16810580	C₂²	semidirect
169. #16810580	C₂²	semidirect
170. #16810580	C₂²	semidirect
171. #16810578	C₂²	semidirect
172. #16810578	C₂²	semidirect
175. #16810577	C₂²	semidirect
176. #16810577	C₂²	semidirect
177. C₄×#11719917	C₂²	semidirect
178. C₄×#11719917	C₂²	semidirect
180. #16810575	C₂²	semidirect
181. M₁₆×Dic₅₃	C₂²	semidirect
182. M₁₆×Dic₅₃	C₂²	semidirect
183. C₂×#13133127	C₂²	semidirect
185. #97×D₅₃	C₂²	semidirect
186. C₂×C₄×#88322	C₂²	semidirect
187. C₂×C₈×Dic₅₃	C₂²	semidirect
189. C₅₃×#446	C₂²	semidirect
190. C₅₃×#446	C₂²	semidirect
193. C₅₃×#435	C₂²	semidirect
194. C₅₃×#435	C₂²	semidirect
195. C₈×D₄×C₅₃	C₂²	semidirect
196. C₈×D₄×C₅₃	C₂²	semidirect
197. C₅₃×#432	C₂²	semidirect
198. C₅₃×#432	C₂²	semidirect
199. C₅₃×#432	C₂²	semidirect
200. C₄×M₁₆×C₅₃	C₂²	semidirect
201. C₂×#97×C₅₃	C₂²	semidirect
202. C₂×#97×C₅₃	C₂²	semidirect
685. #11719912	#41	semidirect
695. C₈×D₅₃	#41	semidirect
855. #2970	D₅₃	semidirect
943. #446	C₂×D₅₃	semidirect
944. #446	C₂×D₅₃	semidirect
983. #435	C₂×D₅₃	semidirect
984. #435	C₂×D₅₃	semidirect
993. C₈×D₄	C₂×D₅₃	semidirect
994. C₈×D₄	C₂×D₅₃	semidirect
1010. #432	C₂×D₅₃	semidirect
1011. #432	C₂×D₅₃	semidirect
1012. #432	C₂×D₅₃	semidirect
1057. C₄×M₁₆	C₂×D₅₃	semidirect
1061. C₂×#97	C₂×D₅₃	semidirect
1062. C₂×#97	C₂×D₅₃	semidirect
1065. C₅₃	#60216	semidirect

Maximal subgroups

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

subgroup	index
#20288277	2
#20283725	2
#20283719	2
#20283712	2
#20283709	2
#20283708	2
#20283703	2
#20283699	2
#20283695	2
#20283694	2
#20283684	2
#20283683	2
#20283682	2
#20283675	2
#20283660	2
#20283651	2
#20283448	2
#20283438	2
#20283435	2
#20283413	2
#20283404	2
#435×D₅₃	2
#20283382	2
#20283374	2
#20283140	2
#20283132	2
C₂×#16810580	2
C₅₃×#2970	2
#60216	53