Subgroups — #28330764

Order 13568.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291672	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291670	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291669	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291669	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291663	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291659	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291657	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291656	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291646	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291635	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291624	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291622	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291622	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291619	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291615	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291555	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291549	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291549	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291548	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291545	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291542	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291537	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291534	C₂	1	1	yes	maximal, characteristic, complemented
24	#20291533	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291527	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291516	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291512	C₂	1	1	yes	maximal, characteristic, complemented
28	#20291507	C₂	1	1	yes	maximal, characteristic, complemented
29	#20291506	C₂	1	1	yes	maximal, characteristic, complemented
30	#20291505	C₂	1	1	yes	maximal, characteristic, complemented
31	#20288145	C₂	1	1	yes	maximal, characteristic
32	#16811675	C₂²	1	1	yes	characteristic
33	#16811675	C₂²	1	1	yes	characteristic
34	#16811675	C₂²	1	1	yes	characteristic
35	#16811675	C₂²	1	1	yes	characteristic
36	#16811675	C₂²	1	1	yes	characteristic
37	#16811675	C₂²	1	1	yes	characteristic
38	#16811675	C₂²	1	1	yes	characteristic
39	#16811675	C₂²	1	1	yes	characteristic
40	#16811675	C₂²	1	1	yes	characteristic
41	#16811675	C₂²	1	1	yes	characteristic
42	#16811675	C₂²	1	1	yes	characteristic
43	#16811675	C₂²	1	1	yes	characteristic
44	#16811675	C₂²	1	1	yes	characteristic
45	#16811675	C₂²	1	1	yes	characteristic
46	#16811675	C₂²	1	1	yes	characteristic
47	#16811675	C₂²	1	1	yes	characteristic
48	#16811675	C₂²	1	1	yes	characteristic
49	#16811675	C₂²	1	1	yes	characteristic
50	#16811674	C₂²	1	1	yes	characteristic
51	#16811674	C₂²	1	1	yes	characteristic
52	#16811674	C₂²	1	1	yes	characteristic
53	#16811673	C₂²	1	1	yes	characteristic
54	#16811673	C₂²	1	1	yes	characteristic
55	#16811673	C₂²	1	1	yes	characteristic
56	#16811673	C₂²	1	1	yes	characteristic
57	#16811673	C₂²	1	1	yes	characteristic
58	#16811673	C₂²	1	1	yes	characteristic
59	#16811673	C₂²	1	1	yes	characteristic
60	#16811673	C₂²	1	1	yes	characteristic
61	#16811673	C₂²	1	1	yes	characteristic
62	#16811672	C₂²	1	1	yes	characteristic
63	#16811672	C₂²	1	1	yes	characteristic
64	#16811672	C₂²	1	1	yes	characteristic
65	#16811672	C₂²	1	1	yes	characteristic
66	#16811672	C₂²	1	1	yes	characteristic
67	#16811672	C₂²	1	1	yes	characteristic
68	#16811672	C₂²	1	1	yes	characteristic
69	#16811672	C₂²	1	1	yes	characteristic
70	#16811672	C₂²	1	1	yes	characteristic
71	Q₈×#88324	C₂²	1	1	yes	characteristic
72	#16811658	C₂²	1	1	yes	characteristic
73	#16811658	C₂²	1	1	yes	characteristic
74	#16811658	C₂²	1	1	yes	characteristic
75	#16811658	C₂²	1	1	yes	characteristic
76	#16811658	C₂²	1	1	yes	characteristic
77	#16811657	C₂²	1	1	yes	characteristic
78	#16811656	C₂²	1	1	yes	characteristic
79	#16811656	C₂²	1	1	yes	characteristic
80	#16811656	C₂²	1	1	yes	characteristic
81	#16811656	C₂²	1	1	yes	characteristic
82	#16811656	C₂²	1	1	yes	characteristic
83	#16811656	C₂²	1	1	yes	characteristic
84	#16811656	C₂²	1	1	yes	characteristic
85	#16811656	C₂²	1	1	yes	characteristic
86	#16811655	C₂²	1	1	yes	characteristic
87	#16811655	C₂²	1	1	yes	characteristic
88	#16811655	C₂²	1	1	yes	characteristic
89	#16811655	C₂²	1	1	yes	characteristic
90	#16811655	C₂²	1	1	yes	characteristic
91	#16811655	C₂²	1	1	yes	characteristic
92	#16811655	C₂²	1	1	yes	characteristic
93	#16811655	C₂²	1	1	yes	characteristic
94	#16811654	C₂²	1	1	yes	characteristic
95	#16811654	C₂²	1	1	yes	characteristic
96	#16811654	C₂²	1	1	yes	characteristic
97	#16811654	C₂²	1	1	yes	characteristic
98	#16811654	C₂²	1	1	yes	characteristic
99	#16811654	C₂²	1	1	yes	characteristic
100	#16811653	C₂²	1	1	yes	characteristic
101	#16811653	C₂²	1	1	yes	characteristic
102	#16811652	C₂²	1	1	yes	characteristic
103	#16811652	C₂²	1	1	yes	characteristic
104	#16811652	C₂²	1	1	yes	characteristic
105	#16811652	C₂²	1	1	yes	characteristic
106	#16811651	C₂²	1	1	yes	characteristic
107	#16811650	C₂²	1	1	yes	characteristic
108	#16811650	C₂²	1	1	yes	characteristic
109	#16811650	C₂²	1	1	yes	characteristic
110	#16811650	C₂²	1	1	yes	characteristic
111	D₄×#88324	C₂²	1	1	yes	characteristic
112	#16811648	C₂²	1	1	yes	characteristic
113	#16811648	C₂²	1	1	yes	characteristic
114	#16811648	C₂²	1	1	yes	characteristic
115	#16811648	C₂²	1	1	yes	characteristic
116	#16811648	C₂²	1	1	yes	characteristic
117	#16811648	C₂²	1	1	yes	characteristic
118	#16811648	C₂²	1	1	yes	characteristic
119	#16811648	C₂²	1	1	yes	characteristic
120	#16811647	C₂²	1	1	yes	characteristic
121	#16811647	C₂²	1	1	yes	characteristic
122	#16811647	C₂²	1	1	yes	characteristic
123	#16811647	C₂²	1	1	yes	characteristic
124	#16811647	C₂²	1	1	yes	characteristic
125	#16811647	C₂²	1	1	yes	characteristic
126	#16811647	C₂²	1	1	yes	characteristic
127	#16811647	C₂²	1	1	yes	characteristic
128	#16811646	C₂²	1	1	yes	characteristic
129	#16811646	C₂²	1	1	yes	characteristic
130	#16811644	C₂²	1	1	yes	characteristic
131	#16811644	C₂²	1	1	yes	characteristic
132	#16811643	C₂²	1	1	yes	characteristic
133	#16811643	C₂²	1	1	yes	characteristic
134	#16811642	C₂²	1	1	yes	characteristic
135	#16811642	C₂²	1	1	yes	characteristic
136	#16811640	C₂²	1	1	yes	characteristic
137	#16811640	C₂²	1	1	yes	characteristic
138	#16811639	C₂²	1	1	yes	characteristic
139	#16811639	C₂²	1	1	yes	characteristic
140	#16811639	C₂²	1	1	yes	characteristic
141	#16811639	C₂²	1	1	yes	characteristic
142	#16811630	C₂²	1	1	yes	characteristic
143	#16811630	C₂²	1	1	yes	characteristic
144	#16811630	C₂²	1	1	yes	characteristic
145	#16811630	C₂²	1	1	yes	characteristic
146	#16811629	C₂²	1	1	yes	characteristic
147	#16811629	C₂²	1	1	yes	characteristic
148	#16811629	C₂²	1	1	yes	characteristic
149	#16811629	C₂²	1	1	yes	characteristic
150	#16811628	C₂²	1	1	yes	characteristic
151	#16811627	C₂²	1	1	yes	characteristic
152	#16811626	C₂²	1	1	yes	characteristic
153	#16811626	C₂²	1	1	yes	characteristic
154	#16811626	C₂²	1	1	yes	characteristic
155	#16811626	C₂²	1	1	yes	characteristic
156	C₂×#13133284	C₂²	1	1	yes	characteristic
157	#16811588	C₂²	1	1	yes	characteristic
158	#16811588	C₂²	1	1	yes	characteristic
159	#16811588	C₂²	1	1	yes	characteristic
160	#16811588	C₂²	1	1	yes	characteristic
161	#16811587	C₂²	1	1	yes	characteristic
162	#16811587	C₂²	1	1	yes	characteristic
163	#16811587	C₂²	1	1	yes	characteristic
164	#16811587	C₂²	1	1	yes	characteristic
165	C₄×#11719940	C₂²	1	1	yes	characteristic
166	C₄×#11719940	C₂²	1	1	yes	characteristic
167	C₄×#11719940	C₂²	1	1	yes	characteristic
168	C₄×#11719940	C₂²	1	1	yes	characteristic
169	#16811582	C₂²	1	1	yes	characteristic
170	C₂×#13133272	C₂²	1	1	yes	characteristic
171	C₄×D₅₃⋊C₈	C₂²	1	1	yes	characteristic
172	#16811252	C₄	1	1	yes	characteristic
173	#16811243	C₄	1	1	yes	characteristic
174	#16811243	C₄	1	1	yes	characteristic
175	#16811241	C₄	1	1	yes	characteristic
176	#16811241	C₄	1	1	yes	characteristic
177	#16811232	C₄	1	1	yes	characteristic
178	#16811232	C₄	1	1	yes	characteristic
179	#16811230	C₄	1	1	yes	characteristic
180	#16811230	C₄	1	1	yes	characteristic
181	#16811220	C₄	1	1	yes	characteristic
182	#16811215	C₄	1	1	yes	characteristic
183	#16811215	C₄	1	1	yes	characteristic
184	#16811200	C₄	1	1	yes	characteristic
185	#16811195	C₄	1	1	yes	characteristic
186	#16811195	C₄	1	1	yes	characteristic
187	#16811179	C₂²	1	1	yes	characteristic
188	#16811179	C₂²	1	1	yes	characteristic
189	#16811175	C₂²	1	1	yes	characteristic
190	#16811175	C₂²	1	1	yes	characteristic
191	#16811159	C₂²	1	1	yes	characteristic
192	#16811156	C₂²	1	1	yes	characteristic
193	#16811156	C₂²	1	1	yes	characteristic
194	#16811154	C₂²	1	1	yes	characteristic
195	#16811150	C₂²	1	1	yes	characteristic
196	#16811150	C₂²	1	1	yes	characteristic
197	#16811150	C₂²	1	1	yes	characteristic
198	#16811150	C₂²	1	1	yes	characteristic
199	C₄×#11719947	C₂²	1	1	yes	characteristic
200	C₄×#11719947	C₂²	1	1	yes	characteristic
201	C₂×#13133182	C₂²	1	1	yes	characteristic
202	C₅₃×#539	C₄	1	1	yes	characteristic
203	C₂×#11719936	C₂³	1	1	yes	characteristic
204	C₂×#11719936	C₂³	1	1	yes	characteristic
205	C₂×#11719936	C₂³	1	1	yes	characteristic
206	C₂×#11719936	C₂³	1	1	yes	characteristic
207	C₂×#11719940	C₂³	1	1	yes	characteristic
208	C₂×#11719940	C₂³	1	1	yes	characteristic
209	C₂×#11719940	C₂³	1	1	yes	characteristic
210	C₂×#11719940	C₂³	1	1	yes	characteristic
211	C₂×#11719940	C₂³	1	1	yes	characteristic
212	C₂×#11719940	C₂³	1	1	yes	characteristic
213	C₂×#11719940	C₂³	1	1	yes	characteristic
214	C₂×#11719940	C₂³	1	1	yes	characteristic
215	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
216	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
217	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
218	C₂×D₅₃⋊C₈	C₂³	1	1	yes	characteristic
219	C₂²×#88324	C₂³	1	1	yes	characteristic
220	C₂²×#88324	C₂³	1	1	yes	characteristic
221	C₂²×#88324	C₂³	1	1	yes	characteristic
222	C₂²×#88324	C₂³	1	1	yes	characteristic
223	#13133284	C₂³	1	1	yes	characteristic
224	#13133284	C₂³	1	1	yes	characteristic
225	#13133284	C₂³	1	1	yes	characteristic
226	#13133284	C₂³	1	1	yes	characteristic
227	#13133284	C₂³	1	1	yes	characteristic
228	#13133284	C₂³	1	1	yes	characteristic
229	#13133284	C₂³	1	1	yes	characteristic
230	#13133284	C₂³	1	1	yes	characteristic
231	#13133284	C₂³	1	1	yes	characteristic
232	#13133284	C₂³	1	1	yes	characteristic
233	#13133284	C₂³	1	1	yes	characteristic
234	#13133284	C₂³	1	1	yes	characteristic
235	#13133284	C₂³	1	1	yes	characteristic
236	#13133284	C₂³	1	1	yes	characteristic
237	#13133284	C₂³	1	1	yes	characteristic
238	#13133284	C₂³	1	1	yes	characteristic
239	#13133284	C₂³	1	1	yes	characteristic
240	#13133284	C₂³	1	1	yes	characteristic
241	#13133284	C₂³	1	1	yes	characteristic
242	#13133284	C₂³	1	1	yes	characteristic
243	C₄⋊#88324	C₂³	1	1	yes	characteristic
244	C₄⋊#88324	C₂³	1	1	yes	characteristic
245	C₄⋊#88324	C₂³	1	1	yes	characteristic
246	C₄⋊#88324	C₂³	1	1	yes	characteristic
247	C₄⋊#88324	C₂³	1	1	yes	characteristic
248	C₄⋊#88324	C₂³	1	1	yes	characteristic
249	C₄⋊#88324	C₂³	1	1	yes	characteristic
250	C₄⋊#88324	C₂³	1	1	yes	characteristic
251	C₄⋊#88324	C₂³	1	1	yes	characteristic
252	C₄⋊#88324	C₂³	1	1	yes	characteristic
253	C₄⋊#88324	C₂³	1	1	yes	characteristic
254	C₄⋊#88324	C₂³	1	1	yes	characteristic
255	C₄⋊#88324	C₂³	1	1	yes	characteristic
256	C₄⋊#88324	C₂³	1	1	yes	characteristic
257	C₄⋊#88324	C₂³	1	1	yes	characteristic
258	C₄⋊#88324	C₂³	1	1	yes	characteristic
259	C₄⋊#88324	C₂³	1	1	yes	characteristic
260	C₄⋊#88324	C₂³	1	1	yes	characteristic
261	C₄⋊#88324	C₂³	1	1	yes	characteristic
262	C₄⋊#88324	C₂³	1	1	yes	characteristic
263	#13133274	C₂³	1	1	yes	characteristic
264	#13133274	C₂³	1	1	yes	characteristic
265	#13133274	C₂³	1	1	yes	characteristic
266	#13133274	C₂³	1	1	yes	characteristic
267	#13133274	C₂³	1	1	yes	characteristic
268	#13133274	C₂³	1	1	yes	characteristic
269	#13133274	C₂³	1	1	yes	characteristic
270	#13133274	C₂³	1	1	yes	characteristic
271	C₂²⋊#88324	C₂³	1	1	yes	characteristic
272	C₂²⋊#88324	C₂³	1	1	yes	characteristic
273	C₂²⋊#88324	C₂³	1	1	yes	characteristic
274	C₂²⋊#88324	C₂³	1	1	yes	characteristic
275	C₂²⋊#88324	C₂³	1	1	yes	characteristic
276	C₂²⋊#88324	C₂³	1	1	yes	characteristic
277	C₂²⋊#88324	C₂³	1	1	yes	characteristic
278	C₂²⋊#88324	C₂³	1	1	yes	characteristic
279	C₂²⋊#88324	C₂³	1	1	yes	characteristic
280	C₂²⋊#88324	C₂³	1	1	yes	characteristic
281	C₂²⋊#88324	C₂³	1	1	yes	characteristic
282	C₂²⋊#88324	C₂³	1	1	yes	characteristic
283	#13133272	C₂³	1	1	yes	characteristic
284	#13133272	C₂³	1	1	yes	characteristic
285	#13133272	C₂³	1	1	yes	characteristic
286	#13133272	C₂³	1	1	yes	characteristic
287	#13133272	C₂³	1	1	yes	characteristic
288	#13133272	C₂³	1	1	yes	characteristic
289	#13133272	C₂³	1	1	yes	characteristic
290	#13133272	C₂³	1	1	yes	characteristic
291	#13133272	C₂³	1	1	yes	characteristic
292	#13133272	C₂³	1	1	yes	characteristic
293	#13133272	C₂³	1	1	yes	characteristic
294	#13133272	C₂³	1	1	yes	characteristic
295	#13133272	C₂³	1	1	yes	characteristic
296	#13133272	C₂³	1	1	yes	characteristic
297	#13133272	C₂³	1	1	yes	characteristic
298	#13133272	C₂³	1	1	yes	characteristic
299	#13133272	C₂³	1	1	yes	characteristic
300	#13133272	C₂³	1	1	yes	characteristic
301	#13133272	C₂³	1	1	yes	characteristic
302	#13133272	C₂³	1	1	yes	characteristic
303	C₄×#88324	C₂³	1	1	yes	characteristic
304	C₄×#88324	C₂³	1	1	yes	characteristic
305	C₄×#88324	C₂³	1	1	yes	characteristic
306	C₄×#88324	C₂³	1	1	yes	characteristic
307	C₄×#88324	C₂³	1	1	yes	characteristic
308	C₄×#88324	C₂³	1	1	yes	characteristic
309	C₄×#88324	C₂³	1	1	yes	characteristic
310	C₄×#88324	C₂³	1	1	yes	characteristic
311	C₄×#88324	C₂³	1	1	yes	characteristic
312	C₄×#88324	C₂³	1	1	yes	characteristic
313	C₄×#88324	C₂³	1	1	yes	characteristic
314	C₄×#88324	C₂³	1	1	yes	characteristic
315	C₄×#88324	C₂³	1	1	yes	characteristic
316	C₄×#88324	C₂³	1	1	yes	characteristic
317	C₄×#88324	C₂³	1	1	yes	characteristic
318	C₄×#88324	C₂³	1	1	yes	characteristic
319	C₄×#88324	C₂³	1	1	yes	characteristic
320	C₄×#88324	C₂³	1	1	yes	characteristic
321	C₄×#88324	C₂³	1	1	yes	characteristic
322	C₄×#88324	C₂³	1	1	yes	characteristic
323	C₂×#11719947	C₂×C₄	1	1	yes	characteristic
324	C₂×#11719947	C₂×C₄	1	1	yes	characteristic
325	C₂²×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
326	#13133216	C₂×C₄	1	1	yes	characteristic
327	#13133216	C₂×C₄	1	1	yes	characteristic
328	#13133216	C₂×C₄	1	1	yes	characteristic
329	#13133216	C₂×C₄	1	1	yes	characteristic
330	#13133216	C₂×C₄	1	1	yes	characteristic
331	#13133216	C₂×C₄	1	1	yes	characteristic
332	#13133215	C₂×C₄	1	1	yes	characteristic
333	#13133215	C₂×C₄	1	1	yes	characteristic
334	#13133212	C₂×C₄	1	1	yes	characteristic
335	#13133212	C₂×C₄	1	1	yes	characteristic
336	#13133212	C₂×C₄	1	1	yes	characteristic
337	#13133212	C₂×C₄	1	1	yes	characteristic
338	#13133212	C₂×C₄	1	1	yes	characteristic
339	#13133212	C₂×C₄	1	1	yes	characteristic
340	#13133211	C₂×C₄	1	1	yes	characteristic
341	#13133211	C₂×C₄	1	1	yes	characteristic
342	#13133210	C₂×C₄	1	1	yes	characteristic
343	#13133210	C₂×C₄	1	1	yes	characteristic
344	#13133210	C₂×C₄	1	1	yes	characteristic
345	#13133210	C₂×C₄	1	1	yes	characteristic
346	#13133210	C₂×C₄	1	1	yes	characteristic
347	#13133210	C₂×C₄	1	1	yes	characteristic
348	#13133209	C₂×C₄	1	1	yes	characteristic
349	#13133209	C₂×C₄	1	1	yes	characteristic
350	#13133208	C₂×C₄	1	1	yes	characteristic
351	#13133208	C₂×C₄	1	1	yes	characteristic
352	#13133207	C₂×C₄	1	1	yes	characteristic
353	#13133207	C₂×C₄	1	1	yes	characteristic
354	#13133207	C₂×C₄	1	1	yes	characteristic
355	#13133207	C₂×C₄	1	1	yes	characteristic
356	#13133207	C₂×C₄	1	1	yes	characteristic
357	#13133207	C₂×C₄	1	1	yes	characteristic
358	#13133207	C₂×C₄	1	1	yes	characteristic
359	#13133207	C₂×C₄	1	1	yes	characteristic
360	#13133207	C₂×C₄	1	1	yes	characteristic
361	#13133207	C₂×C₄	1	1	yes	characteristic
362	#13133206	C₂×C₄	1	1	yes	characteristic
363	#13133204	C₂×C₄	1	1	yes	characteristic
364	#13133203	C₂×C₄	1	1	yes	characteristic
365	#13133203	C₂×C₄	1	1	yes	characteristic
366	#13133203	C₂×C₄	1	1	yes	characteristic
367	#13133203	C₂×C₄	1	1	yes	characteristic
368	#13133203	C₂×C₄	1	1	yes	characteristic
369	#13133203	C₂×C₄	1	1	yes	characteristic
370	#13133202	C₂×C₄	1	1	yes	characteristic
371	#13133202	C₂×C₄	1	1	yes	characteristic
372	#13133201	C₂×C₄	1	1	yes	characteristic
373	#13133201	C₂×C₄	1	1	yes	characteristic
374	#13133200	C₂×C₄	1	1	yes	characteristic
375	#13133200	C₂×C₄	1	1	yes	characteristic
376	#13133200	C₂×C₄	1	1	yes	characteristic
377	#13133200	C₂×C₄	1	1	yes	characteristic
378	#13133199	C₂×C₄	1	1	yes	characteristic
379	#13133199	C₂×C₄	1	1	yes	characteristic
380	#13133198	C₂×C₄	1	1	yes	characteristic
381	#13133198	C₂×C₄	1	1	yes	characteristic
382	#13133196	C₂×C₄	1	1	yes	characteristic
383	#13133196	C₂×C₄	1	1	yes	characteristic
384	#13133196	C₂×C₄	1	1	yes	characteristic
385	#13133195	C₂×C₄	1	1	yes	characteristic
386	#13133195	C₂×C₄	1	1	yes	characteristic
387	#13133195	C₂×C₄	1	1	yes	characteristic
388	#13133195	C₂×C₄	1	1	yes	characteristic
389	#13133195	C₂×C₄	1	1	yes	characteristic
390	#13133195	C₂×C₄	1	1	yes	characteristic
391	#13133195	C₂×C₄	1	1	yes	characteristic
392	#13133195	C₂×C₄	1	1	yes	characteristic
393	#13133195	C₂×C₄	1	1	yes	characteristic
394	#13133195	C₂×C₄	1	1	yes	characteristic
395	#13133194	C₂×C₄	1	1	yes	characteristic
396	#13133194	C₂×C₄	1	1	yes	characteristic
397	#13133194	C₂×C₄	1	1	yes	characteristic
398	#13133194	C₂×C₄	1	1	yes	characteristic
399	#13133194	C₂×C₄	1	1	yes	characteristic
400	#13133194	C₂×C₄	1	1	yes	characteristic
401	#13133194	C₂×C₄	1	1	yes	characteristic
402	#13133194	C₂×C₄	1	1	yes	characteristic
403	#13133191	C₂×C₄	1	1	yes	characteristic
404	#13133190	C₂×C₄	1	1	yes	characteristic
405	#13133190	C₂×C₄	1	1	yes	characteristic
406	#13133189	C₂×C₄	1	1	yes	characteristic
407	#13133189	C₂×C₄	1	1	yes	characteristic
408	#13133189	C₂×C₄	1	1	yes	characteristic
409	#13133189	C₂×C₄	1	1	yes	characteristic
410	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
412	C₄×Dic₁₀₆	C₂×C₄	1	1	yes	characteristic
413	#13133182	C₂×C₄	1	1	yes	characteristic
414	#13133182	C₂×C₄	1	1	yes	characteristic
415	#13133182	C₂×C₄	1	1	yes	characteristic
416	#13133182	C₂×C₄	1	1	yes	characteristic
417	#13133182	C₂³	1	1	yes	characteristic
418	#13133182	C₂³	1	1	yes	characteristic
419	#13133182	C₂³	1	1	yes	characteristic
420	#13133182	C₂³	1	1	yes	characteristic
421	#13133182	C₂³	1	1	yes	characteristic
422	#13133182	C₂³	1	1	yes	characteristic
423	#13133182	C₂³	1	1	yes	characteristic
424	#13133182	C₂³	1	1	yes	characteristic
425	#13133182	C₂³	1	1	yes	characteristic
426	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
427	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
428	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
429	#13133179	C₂³	1	1	yes	characteristic
430	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
431	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
432	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
433	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic
434	#13133177	C₂³	1	1	yes	characteristic
435	#13133177	C₂³	1	1	yes	characteristic
436	#13133177	C₂³	1	1	yes	characteristic
437	#13133177	C₂³	1	1	yes	characteristic
438	#13133177	C₂³	1	1	yes	characteristic
439	#13133177	C₂³	1	1	yes	characteristic
440	#13133175	C₂×C₄	1	1	yes	characteristic
441	#13133175	C₂×C₄	1	1	yes	characteristic
442	#13133175	C₂³	1	1	yes	characteristic
443	#13133175	C₂³	1	1	yes	characteristic
444	#13133175	C₂³	1	1	yes	characteristic
445	#13133175	C₂³	1	1	yes	characteristic
446	#13133173	C₂×C₄	1	1	yes	characteristic
447	#13133173	C₂×C₄	1	1	yes	characteristic
448	#13133173	C₂×C₄	1	1	yes	characteristic
449	#13133173	C₂×C₄	1	1	yes	characteristic
450	#13133173	C₂³	1	1	yes	characteristic
451	#13133173	C₂³	1	1	yes	characteristic
452	#13133173	C₂³	1	1	yes	characteristic
453	#13133173	C₂³	1	1	yes	characteristic
454	C₂×#11719919	C₂×C₄	1	1	yes	characteristic
455	C₂×#11719919	C₂×C₄	1	1	yes	characteristic
456	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
457	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
458	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
459	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
460	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
461	C₄²×D₅₃	C₂³	1	1	yes	characteristic
462	C₄²×D₅₃	C₂³	1	1	yes	characteristic
463	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
464	#126×C₅₃	C₂×C₄	1	1	yes	characteristic
465	#125×C₅₃	C₂×C₄	1	1	yes	characteristic
466	#125×C₅₃	C₂×C₄	1	1	yes	characteristic
467	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
468	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
469	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
470	#123×C₅₃	C₂×C₄	1	1	yes	characteristic
471	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
472	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
473	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic
474	#121×C₅₃	C₂×C₄	1	1	yes	characteristic
475	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
476	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic
477	C₂×C₄⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic
478	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
479	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
480	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
481	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
482	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
483	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
484	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
485	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
486	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
487	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
488	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
489	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
490	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
491	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
492	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
493	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
494	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
495	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
496	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
497	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
498	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
499	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
500	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
501	#11719947	—	4	2	no	—
502	#11719947	—	4	2	no	—
503	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
504	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
505	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
506	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
507	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
508	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
509	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
510	C₂×Dic₁₀₆	—	4	2	no	—
511	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
512	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
513	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
514	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
515	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
516	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
517	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
518	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
519	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
520	#11719940	—	2	2	no	—
521	#11719940	—	2	2	no	—
522	#11719940	—	4	1	no	—
523	#11719940	—	4	1	no	—
524	#11719940	—	4	1	no	—
525	#11719940	—	4	1	no	—
526	#11719940	—	4	1	no	—
527	#11719940	—	4	1	no	—
528	C₂×#88324	—	2	2	no	—
529	C₂×#88324	—	4	1	no	—
530	C₂×#88324	—	4	1	no	—
531	C₂×#88324	—	4	1	no	—
532	C₂×#88324	C₂⁴	1	1	yes	characteristic
533	C₂×#88324	C₂⁴	1	1	yes	characteristic
534	C₂×#88324	C₂⁴	1	1	yes	characteristic
535	C₂×#88324	C₂⁴	1	1	yes	characteristic
536	C₂×#88324	C₂⁴	1	1	yes	characteristic
537	C₂×#88324	C₂⁴	1	1	yes	characteristic
538	C₂×#88324	C₂⁴	1	1	yes	characteristic
539	C₂×#88324	C₂⁴	1	1	yes	characteristic
540	C₂×#88324	C₂⁴	1	1	yes	characteristic
541	C₂×#88324	C₂⁴	1	1	yes	characteristic
542	C₂×#88324	C₂⁴	1	1	yes	characteristic
543	C₂×#88324	C₂⁴	1	1	yes	characteristic
544	C₂×#88324	C₂⁴	1	1	yes	characteristic
545	C₂×#88324	C₂⁴	1	1	yes	characteristic
546	C₂×#88324	C₂⁴	1	1	yes	characteristic
547	C₂×#88324	C₂⁴	1	1	yes	characteristic
548	#11719936	—	4	1	no	—
549	#11719936	—	4	1	no	—
550	#11719936	—	4	1	no	—
551	#11719936	—	4	1	no	—
552	D₅₃⋊C₈	—	2	2	no	—
553	D₅₃⋊C₈	—	2	2	no	—
554	D₅₃⋊C₈	—	4	1	no	—
555	D₅₃⋊C₈	—	4	1	no	—
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	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
563	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
564	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
565	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
566	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
567	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
568	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
569	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
570	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
571	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
572	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
573	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
574	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
575	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
576	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
577	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
578	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
579	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
580	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
581	C₄²×C₅₃	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	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
587	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
588	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
589	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
590	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
591	C₂²⋊Dic₅₃	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	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
609	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
610	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
611	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
612	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
613	C₄⋊Dic₅₃	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	#11719919	C₂²×C₄	1	1	yes	characteristic
619	#11719919	C₂²×C₄	1	1	yes	characteristic
620	#11719919	C₂²×C₄	1	1	yes	characteristic
621	#11719919	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	C₂²×C₄	1	1	yes	characteristic
659	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
660	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
661	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
662	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
663	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
664	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
665	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
666	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
667	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
668	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
669	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
670	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
671	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
672	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
673	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
674	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
675	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
676	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
677	Q₈×C₅₃	—	4	1	no	—
678	D₄×C₅₃	—	4	1	no	—
679	D₄×C₅₃	—	4	1	no	—
680	D₄×C₅₃	—	4	1	no	—
681	C₂×C₄×C₅₃	—	4	1	no	—
682	C₂×C₄×C₅₃	—	4	1	no	—
683	C₂×C₄×C₅₃	—	4	1	no	—
684	C₂×C₄×C₅₃	—	4	1	no	—
685	C₂×C₄×C₅₃	—	4	1	no	—
686	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
687	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
688	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
689	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
690	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
691	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
692	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
693	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
694	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
695	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
696	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
697	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
698	C₂²⋊D₅₃	—	2	2	no	—
699	C₂²⋊D₅₃	—	4	1	no	—
700	C₂²⋊D₅₃	—	4	1	no	—
701	C₂²⋊D₅₃	—	4	1	no	—
702	C₂²⋊D₅₃	—	4	1	no	—
703	C₂²⋊D₅₃	—	4	1	no	—
704	C₂×Dic₅₃	—	2	2	no	—
705	C₂×Dic₅₃	—	2	2	no	—
706	C₂×Dic₅₃	—	2	1	no	—
707	C₂×Dic₅₃	—	2	1	no	—
708	C₂×Dic₅₃	—	2	1	no	—
709	C₂×Dic₅₃	—	2	1	no	—
710	C₂×Dic₅₃	—	2	1	no	—
711	C₂×Dic₅₃	—	2	1	no	—
712	C₂×Dic₅₃	—	4	1	no	—
713	C₂×Dic₅₃	—	4	1	no	—
714	C₂×Dic₅₃	—	4	1	no	—
715	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
716	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
717	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
718	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
719	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
720	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
721	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
722	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
723	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
724	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
725	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
726	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
727	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
728	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
729	D₂₁₂	—	4	1	no	—
730	C₄×D₅₃	—	2	2	no	—
731	C₄×D₅₃	—	2	1	no	—
732	C₄×D₅₃	—	2	1	no	—
733	C₄×D₅₃	—	2	1	no	—
734	C₄×D₅₃	—	2	1	no	—
735	C₄×D₅₃	—	4	1	no	—
736	C₄×D₅₃	—	4	1	no	—
737	C₄×D₅₃	—	4	1	no	—
738	Dic₁₀₆	—	2	2	no	—
739	Dic₁₀₆	—	2	2	no	—
740	Dic₁₀₆	—	2	2	no	—
741	Dic₁₀₆	—	4	1	no	—
742	Dic₁₀₆	—	4	1	no	—
743	Dic₁₀₆	—	4	1	no	—
744	Dic₁₀₆	—	4	1	no	—
745	Dic₁₀₆	—	4	1	no	—
746	Dic₁₀₆	—	4	1	no	—
747	#88324	—	2	1	no	—
748	#88324	—	2	1	no	—
749	#88324	—	2	1	no	—
750	#88324	—	2	1	no	—
751	#88324	—	2	1	no	—
752	#88324	—	2	1	no	—
753	#88324	—	2	1	no	—
754	#88324	—	2	1	no	—
755	#88324	—	2	1	no	—
756	#88324	—	2	1	no	—
757	#88324	—	2	1	no	—
758	#88324	—	2	1	no	—
759	#88324	—	2	1	no	—
760	#88324	—	2	1	no	—
761	#88324	—	2	1	no	—
762	#88324	2₋¹⁺⁴	1	2	yes	—
763	#60344	—	53	1	no	maximal, Sylow
764	C₂²×C₅₃	—	2	1	no	—
765	C₂²×C₅₃	—	2	1	no	—
766	C₂²×C₅₃	—	2	1	no	—
767	C₂²×C₅₃	—	2	1	no	—
768	C₂²×C₅₃	—	2	1	no	—
769	C₂²×C₅₃	—	2	1	no	—
770	C₂²×C₅₃	—	2	1	no	—
771	C₂²×C₅₃	—	2	1	no	—
772	C₂²×C₅₃	—	2	1	no	—
773	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
774	C₂×D₅₃	—	2	1	no	—
775	C₂×D₅₃	—	2	1	no	—
776	C₂×D₅₃	—	2	1	no	—
777	C₂×D₅₃	—	2	1	no	—
778	C₂×D₅₃	—	2	1	no	—
779	C₂×D₅₃	—	2	1	no	—
780	C₄×C₅₃	—	2	1	no	—
781	C₄×C₅₃	—	2	1	no	—
782	C₄×C₅₃	—	2	1	no	—
783	C₄×C₅₃	—	2	1	no	—
784	C₄×C₅₃	—	2	1	no	—
785	C₄×C₅₃	—	2	1	no	—
786	C₄×C₅₃	—	2	1	no	—
787	C₄×C₅₃	—	2	1	no	—
788	C₄×C₅₃	—	2	1	no	—
789	C₄×C₅₃	—	2	1	no	—
790	C₄×C₅₃	—	2	1	no	—
791	C₄×C₅₃	—	2	1	no	—
792	Dic₅₃	—	2	1	no	—
793	Dic₅₃	—	2	1	no	—
794	Dic₅₃	—	2	1	no	—
795	Dic₅₃	—	2	1	no	—
796	Dic₅₃	—	2	1	no	—
797	Dic₅₃	—	2	1	no	—
798	Dic₅₃	—	2	1	no	—
799	Dic₅₃	—	2	1	no	—
800	Dic₅₃	—	2	1	no	—
801	Dic₅₃	—	2	1	no	—
802	Dic₅₃	—	2	1	no	—
803	Dic₅₃	—	2	1	no	—
804	Dic₅₃	#568	1	2	yes	—
805	Dic₅₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
806	Dic₅₃	#585	1	1	yes	characteristic
807	#3461	—	53	1	no	—
808	#2995	—	53	1	no	—
809	#2995	—	53	1	no	—
810	#2995	—	53	1	no	—
811	#2995	—	53	1	no	—
812	#2994	—	53	1	no	—
813	#2993	—	53	1	no	—
814	#2993	—	53	1	no	—
815	#2993	—	53	1	no	—
816	#2991	—	53	1	no	—
817	#2989	—	53	1	no	—
818	#2986	—	53	1	no	—
819	#2985	—	53	1	no	—
820	#2985	—	53	1	no	—
821	#2985	—	53	1	no	—
822	#2984	—	53	1	no	—
823	#2970	—	53	1	no	—
824	#2969	—	53	1	no	—
825	#2969	—	53	1	no	—
826	#2969	—	53	1	no	—
827	#2968	—	53	1	no	—
828	#2968	—	53	1	no	—
829	#2967	—	53	1	no	—
830	#2967	—	53	1	no	—
831	#2966	—	53	1	no	—
832	#2965	—	53	1	no	—
833	Q₈×M₁₆	—	53	1	no	—
834	#2962	—	53	1	no	—
835	#2961	—	53	1	no	—
836	#2961	—	53	1	no	—
837	#2960	—	53	1	no	—
838	C₂×C₅₃	—	4	1	no	—
839	C₂×C₅₃	—	4	1	no	—
840	C₂×C₅₃	—	4	1	no	—
841	C₂×C₅₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
842	C₂×C₅₃	C₂×#568	1	1	yes	characteristic
843	C₂×C₅₃	#3573	1	1	yes	characteristic
844	D₅₃	—	4	1	no	—
845	D₅₃	—	4	1	no	—
846	#544	—	53	1	no	—
847	#542	—	53	1	no	—
848	#542	—	53	1	no	—
849	#542	—	53	1	no	—
850	#542	—	53	1	no	—
851	#541	—	53	1	no	—
852	#541	—	53	1	no	—
853	#541	—	53	1	no	—
854	#541	—	53	1	no	—
855	#539	—	53	1	no	—
856	#539	—	53	1	no	—
857	#539	—	53	1	no	—
858	#539	#6157	1	1	yes	characteristic
859	#537	—	53	1	no	—
860	#536	—	53	1	no	—
861	#536	—	53	1	no	—
862	#533	—	53	1	no	—
863	#533	—	53	1	no	—
864	#533	—	53	1	no	—
865	#533	—	53	1	no	—
866	#529	—	53	1	no	—
867	#529	—	53	1	no	—
868	#529	—	53	1	no	—
869	#529	—	53	1	no	—
870	#529	—	53	1	no	—
871	#529	—	53	1	no	—
872	#529	—	53	1	no	—
873	#529	—	53	1	no	—
874	C₄×#41	—	53	1	no	—
875	C₄×#41	—	53	1	no	—
876	C₂×C₄×Q₈	—	53	1	no	—
877	#446	—	53	1	no	—
878	#446	—	53	1	no	—
879	#446	—	53	1	no	—
880	#446	—	53	1	no	—
881	#446	—	53	1	no	—
882	#446	—	53	1	no	—
883	#446	—	53	1	no	—
884	#446	—	53	1	no	—
885	#446	—	53	1	no	—
886	#446	—	53	1	no	—
887	#446	—	53	1	no	—
888	#446	—	53	1	no	—
889	#446	—	53	1	no	—
890	#446	—	53	1	no	—
891	#446	—	53	1	no	—
892	#446	—	53	1	no	—
893	#446	—	53	1	no	—
894	#446	—	53	1	no	—
895	#446	—	53	1	no	—
896	#446	—	53	1	no	—
897	#446	—	53	1	no	—
898	#446	—	53	1	no	—
899	#446	—	53	1	no	—
900	#446	—	53	1	no	—
901	#446	—	53	1	no	—
902	#446	—	53	1	no	—
903	#446	—	53	1	no	—
904	#446	—	53	1	no	—
905	#446	—	53	1	no	—
906	#446	—	53	1	no	—
907	C₈×Q₈	—	53	1	no	—
908	C₈×Q₈	—	53	1	no	—
909	C₈×Q₈	—	53	1	no	—
910	C₈×Q₈	—	53	1	no	—
911	C₈×Q₈	—	53	1	no	—
912	C₈×Q₈	—	53	1	no	—
913	C₈×Q₈	—	53	1	no	—
914	C₈×Q₈	—	53	1	no	—
915	C₈×Q₈	—	53	1	no	—
916	C₈×Q₈	—	53	1	no	—
917	#436	—	53	1	no	—
918	#436	—	53	1	no	—
919	#436	—	53	1	no	—
920	#436	—	53	1	no	—
921	#436	—	53	1	no	—
922	#436	—	53	1	no	—
923	#436	—	53	1	no	—
924	#436	—	53	1	no	—
925	#436	—	53	1	no	—
926	#436	—	53	1	no	—
927	#436	—	53	1	no	—
928	#436	—	53	1	no	—
929	#436	—	53	1	no	—
930	#436	—	53	1	no	—
931	#435	—	53	1	no	—
932	#435	—	53	1	no	—
933	#435	—	53	1	no	—
934	#435	—	53	1	no	—
935	#435	—	53	1	no	—
936	#435	—	53	1	no	—
937	#435	—	53	1	no	—
938	#435	—	53	1	no	—
939	#435	—	53	1	no	—
940	#435	—	53	1	no	—
941	#435	—	53	1	no	—
942	#435	—	53	1	no	—
943	#435	—	53	1	no	—
944	#435	—	53	1	no	—
945	#435	—	53	1	no	—
946	#435	—	53	1	no	—
947	#435	—	53	1	no	—
948	#435	—	53	1	no	—
949	#435	—	53	1	no	—
950	#435	—	53	1	no	—
951	C₈×D₄	—	53	1	no	—
952	C₈×D₄	—	53	1	no	—
953	C₈×D₄	—	53	1	no	—
954	C₈×D₄	—	53	1	no	—
955	C₈×D₄	—	53	1	no	—
956	C₈×D₄	—	53	1	no	—
957	#433	—	53	1	no	—
958	#433	—	53	1	no	—
959	#433	—	53	1	no	—
960	#433	—	53	1	no	—
961	#433	—	53	1	no	—
962	#433	—	53	1	no	—
963	#433	—	53	1	no	—
964	#433	—	53	1	no	—
965	#433	—	53	1	no	—
966	#433	—	53	1	no	—
967	#433	—	53	1	no	—
968	#433	—	53	1	no	—
969	#433	—	53	1	no	—
970	#433	—	53	1	no	—
971	#433	—	53	1	no	—
972	#433	—	53	1	no	—
973	#432	—	53	1	no	—
974	#432	—	53	1	no	—
975	#432	—	53	1	no	—
976	#432	—	53	1	no	—
977	#432	—	53	1	no	—
978	#432	—	53	1	no	—
979	#431	—	53	1	no	—
980	#431	—	53	1	no	—
981	#431	—	53	1	no	—
982	#431	—	53	1	no	—
983	#431	—	53	1	no	—
984	#431	—	53	1	no	—
985	#431	—	53	1	no	—
986	#431	—	53	1	no	—
987	#424	—	53	1	no	—
988	#424	—	53	1	no	—
989	#424	—	53	1	no	—
990	#424	—	53	1	no	—
991	#424	—	53	1	no	—
992	#424	—	53	1	no	—
993	#424	—	53	1	no	—
994	#424	—	53	1	no	—
995	#423	—	53	1	no	—
996	#423	—	53	1	no	—
997	#423	—	53	1	no	—
998	#423	—	53	1	no	—
999	#423	—	53	1	no	—
1000	#423	—	53	1	no	—
1001	C₂×C₄⋊C₈	—	53	1	no	—
1002	#405	—	53	1	no	—
1003	#405	—	53	1	no	—
1004	#405	—	53	1	no	—
1005	#405	—	53	1	no	—
1006	#405	—	53	1	no	—
1007	#405	—	53	1	no	—
1008	#405	—	53	1	no	—
1009	#405	—	53	1	no	—
1010	C₄×M₁₆	—	53	1	no	—
1011	C₄×M₁₆	—	53	1	no	—
1012	C₄×M₁₆	—	53	1	no	—
1013	C₄×M₁₆	—	53	1	no	—
1014	C₂×#97	—	53	1	no	—
1015	C₂×#97	—	53	1	no	—
1016	C₂×C₄×C₈	—	53	1	no	—
1017	C₅₃	#60344	1	1	yes	characteristic, complemented, Sylow
1018	C₂×#41	—	53	1	no	—
1019	C₂×#41	—	53	1	no	—
1020	C₂²×Q₈	—	53	1	no	—
1021	C₂×M₁₆	—	53	1	no	—
1022	C₂×M₁₆	—	53	1	no	—
1023	C₂×M₁₆	—	53	1	no	—
1024	C₂×M₁₆	—	53	1	no	—
1025	C₂×M₁₆	—	53	1	no	—
1026	C₂×M₁₆	—	53	1	no	—
1027	C₂×M₁₆	—	53	1	no	—
1028	C₂×M₁₆	—	53	1	no	—
1029	C₂×M₁₆	—	53	1	no	—
1030	C₂×M₁₆	—	53	1	no	—
1031	C₂×M₁₆	—	53	1	no	—
1032	C₂×M₁₆	—	53	1	no	—
1033	C₂²×C₈	—	53	1	no	—
1034	C₂²×C₈	—	53	1	no	—
1035	C₂²×C₈	—	53	1	no	—
1036	C₂²×C₈	—	53	1	no	—
1037	C₂²×C₈	—	53	1	no	—
1038	C₂²×C₈	—	53	1	no	—
1039	C₂²×C₈	—	53	1	no	—
1040	C₂²×C₈	—	53	1	no	—
1041	C₄⋊Q₈	—	53	1	no	—
1042	C₄⋊Q₈	—	53	1	no	—
1043	C₄⋊Q₈	—	53	1	no	—
1044	C₄⋊Q₈	—	53	1	no	—
1045	C₄⋊Q₈	—	53	1	no	—
1046	C₄⋊Q₈	—	53	1	no	—
1047	C₄⋊Q₈	—	53	1	no	—
1048	C₄⋊Q₈	—	53	1	no	—
1049	#126	—	53	1	no	—
1050	#126	—	53	1	no	—
1051	#126	—	53	1	no	—
1052	#126	—	53	1	no	—
1053	#126	—	53	1	no	—
1054	#126	—	53	1	no	—
1055	#126	—	53	1	no	—
1056	#126	—	53	1	no	—
1057	#126	—	53	1	no	—
1058	#126	—	53	1	no	—
1059	#126	—	53	1	no	—
1060	#126	—	53	1	no	—
1061	#126	—	53	1	no	—
1062	#126	—	53	1	no	—
1063	#126	C₂×#6157	1	1	yes	characteristic
1064	#126	C₂×#6157	1	1	yes	characteristic
1065	#125	—	53	1	no	—
1066	#125	—	53	1	no	—
1067	#125	—	53	1	no	—
1068	#125	—	53	1	no	—
1069	#125	—	53	1	no	—
1070	#125	—	53	1	no	—
1071	#125	—	53	1	no	—
1072	#125	—	53	1	no	—
1073	#125	—	53	1	no	—
1074	#125	—	53	1	no	—
1075	#125	—	53	1	no	—
1076	#125	—	53	1	no	—
1077	#125	—	53	1	no	—
1078	#125	—	53	1	no	—
1079	#125	C₂×#6157	1	1	yes	characteristic
1080	#125	C₂×#6157	1	1	yes	characteristic
1081	#124	—	53	1	no	—
1082	#124	—	53	1	no	—
1083	#124	—	53	1	no	—
1084	#124	—	53	1	no	—
1085	#124	—	53	1	no	—
1086	#124	—	53	1	no	—
1087	#124	—	53	1	no	—
1088	#124	—	53	1	no	—
1089	#123	—	53	1	no	—
1090	#123	—	53	1	no	—
1091	#123	—	53	1	no	—
1092	#123	—	53	1	no	—
1093	#123	—	53	1	no	—
1094	#123	—	53	1	no	—
1095	#123	—	53	1	no	—
1096	#123	—	53	1	no	—
1097	#123	—	53	1	no	—
1098	#123	—	53	1	no	—
1099	#123	—	53	1	no	—
1100	#123	—	53	1	no	—
1101	#123	C₂×#6157	1	1	yes	characteristic
1102	#123	C₂×#6157	1	1	yes	characteristic
1103	#123	C₂×#6157	1	1	yes	characteristic
1104	#123	C₂×#6157	1	1	yes	characteristic
1105	C₂²⋊Q₈	—	53	1	no	—
1106	C₂²⋊Q₈	—	53	1	no	—
1107	C₂²⋊Q₈	—	53	1	no	—
1108	C₂²⋊Q₈	—	53	1	no	—
1109	C₂²⋊Q₈	—	53	1	no	—
1110	C₂²⋊Q₈	—	53	1	no	—
1111	C₂²⋊Q₈	—	53	1	no	—
1112	C₂²⋊Q₈	—	53	1	no	—
1113	C₂²⋊Q₈	—	53	1	no	—
1114	C₂²⋊Q₈	—	53	1	no	—
1115	C₂²⋊Q₈	—	53	1	no	—
1116	C₂²⋊Q₈	—	53	1	no	—
1117	C₂²⋊Q₈	—	53	1	no	—
1118	C₂²⋊Q₈	—	53	1	no	—
1119	C₂²⋊Q₈	—	53	1	no	—
1120	C₂²⋊Q₈	—	53	1	no	—
1121	C₂²⋊Q₈	—	53	1	no	—
1122	C₂²⋊Q₈	—	53	1	no	—
1123	C₂²⋊Q₈	—	53	1	no	—
1124	C₂²⋊Q₈	—	53	1	no	—
1125	C₂²⋊Q₈	—	53	1	no	—
1126	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1127	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1128	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic
1129	#121	—	53	1	no	—
1130	#121	—	53	1	no	—
1131	#121	—	53	1	no	—
1132	#121	—	53	1	no	—
1133	#121	—	53	1	no	—
1134	#121	—	53	1	no	—
1135	#121	—	53	1	no	—
1136	#121	C₂×#6157	1	1	yes	characteristic
1137	C₄×Q₈	—	53	1	no	—
1138	C₄×Q₈	—	53	1	no	—
1139	C₄×Q₈	—	53	1	no	—
1140	C₄×Q₈	—	53	1	no	—
1141	C₄×Q₈	—	53	1	no	—
1142	C₄×Q₈	—	53	1	no	—
1143	C₄×Q₈	—	53	1	no	—
1144	C₄×Q₈	—	53	1	no	—
1145	C₄×Q₈	—	53	1	no	—
1146	C₄×Q₈	—	53	1	no	—
1147	C₄×Q₈	—	53	1	no	—
1148	C₄×Q₈	—	53	1	no	—
1149	C₄×Q₈	—	53	1	no	—
1150	C₄×Q₈	—	53	1	no	—
1151	C₄×Q₈	—	53	1	no	—
1152	C₄×Q₈	—	53	1	no	—
1153	C₄×D₄	—	53	1	no	—
1154	C₄×D₄	—	53	1	no	—
1155	C₄×D₄	—	53	1	no	—
1156	C₄×D₄	—	53	1	no	—
1157	C₄×D₄	—	53	1	no	—
1158	C₄×D₄	—	53	1	no	—
1159	C₄×D₄	—	53	1	no	—
1160	C₄×D₄	—	53	1	no	—
1161	C₄×D₄	—	53	1	no	—
1162	C₄×D₄	—	53	1	no	—
1163	C₄×D₄	—	53	1	no	—
1164	C₄×D₄	—	53	1	no	—
1165	C₄×D₄	—	53	1	no	—
1166	C₄×D₄	—	53	1	no	—
1167	C₄×D₄	C₂×#6157	1	1	yes	characteristic
1168	C₄×D₄	C₂×#6157	1	1	yes	characteristic
1169	#117	—	53	1	no	—
1170	#117	—	53	1	no	—
1171	#117	—	53	1	no	—
1172	#117	—	53	1	no	—
1173	#117	—	53	1	no	—
1174	#117	—	53	1	no	—
1175	#117	—	53	1	no	—
1176	#117	—	53	1	no	—
1177	#117	—	53	1	no	—
1178	#117	—	53	1	no	—
1179	#117	—	53	1	no	—
1180	#117	—	53	1	no	—
1181	#117	—	53	1	no	—
1182	#117	—	53	1	no	—
1183	C₂×C₄⋊C₄	—	53	1	no	—
1184	C₂×C₄⋊C₄	—	53	1	no	—
1185	C₂×C₄⋊C₄	C₂×#6157	1	1	yes	characteristic
1186	C₂×C₄²	—	53	1	no	—
1187	C₂×C₄²	—	53	1	no	—
1188	C₂×C₄²	—	53	1	no	—
1189	C₂×C₄²	—	53	1	no	—
1190	C₂×C₄²	—	53	1	no	—
1191	C₂×C₄²	—	53	1	no	—
1192	C₂×C₄²	—	53	1	no	—
1193	C₄⋊C₈	—	53	1	no	—
1194	C₄⋊C₈	—	53	1	no	—
1195	C₄⋊C₈	—	53	1	no	—
1196	C₄⋊C₈	—	53	1	no	—
1197	C₄⋊C₈	—	53	1	no	—
1198	C₄⋊C₈	—	53	1	no	—
1199	C₄⋊C₈	—	53	1	no	—
1200	C₄⋊C₈	—	53	1	no	—
1201	C₄⋊C₈	—	53	1	no	—
1202	C₄⋊C₈	—	53	1	no	—
1203	C₄⋊C₈	—	53	1	no	—
1204	C₄⋊C₈	—	53	1	no	—
1205	C₄⋊C₈	—	53	1	no	—
1206	C₄⋊C₈	—	53	1	no	—
1207	C₄⋊C₈	—	53	1	no	—
1208	C₄⋊C₈	—	53	1	no	—
1209	C₄⋊C₈	—	53	1	no	—
1210	C₄⋊C₈	—	53	1	no	—
1211	C₄⋊C₈	—	53	1	no	—
1212	C₄⋊C₈	—	53	1	no	—
1213	C₄⋊C₈	—	53	1	no	—
1214	C₄⋊C₈	—	53	1	no	—
1215	C₄⋊C₈	—	53	1	no	—
1216	C₄⋊C₈	—	53	1	no	—
1217	C₄⋊C₈	—	53	1	no	—
1218	C₄⋊C₈	—	53	1	no	—
1219	C₄⋊C₈	—	53	1	no	—
1220	C₄⋊C₈	—	53	1	no	—
1221	C₄⋊C₈	—	53	1	no	—
1222	C₄⋊C₈	—	53	1	no	—
1223	C₄⋊C₈	—	53	1	no	—
1224	C₄⋊C₈	—	53	1	no	—
1225	C₄⋊C₈	—	53	1	no	—
1226	C₄⋊C₈	—	53	1	no	—
1227	C₄⋊C₈	—	53	1	no	—
1228	C₄⋊C₈	—	53	1	no	—
1229	C₄⋊C₈	—	53	1	no	—
1230	C₄⋊C₈	—	53	1	no	—
1231	C₄⋊C₈	—	53	1	no	—
1232	C₄⋊C₈	—	53	1	no	—
1233	C₂²⋊C₈	—	53	1	no	—
1234	C₂²⋊C₈	—	53	1	no	—
1235	C₂²⋊C₈	—	53	1	no	—
1236	C₂²⋊C₈	—	53	1	no	—
1237	C₂²⋊C₈	—	53	1	no	—
1238	C₂²⋊C₈	—	53	1	no	—
1239	C₂²⋊C₈	—	53	1	no	—
1240	C₂²⋊C₈	—	53	1	no	—
1241	C₂²⋊C₈	—	53	1	no	—
1242	C₂²⋊C₈	—	53	1	no	—
1243	C₂²⋊C₈	—	53	1	no	—
1244	C₂²⋊C₈	—	53	1	no	—
1245	C₂²⋊C₈	—	53	1	no	—
1246	C₂²⋊C₈	—	53	1	no	—
1247	C₂²⋊C₈	—	53	1	no	—
1248	C₂²⋊C₈	—	53	1	no	—
1249	C₂²⋊C₈	—	53	1	no	—
1250	C₂²⋊C₈	—	53	1	no	—
1251	C₂²⋊C₈	—	53	1	no	—
1252	C₂²⋊C₈	—	53	1	no	—
1253	#97	—	53	1	no	—
1254	#97	—	53	1	no	—
1255	#97	—	53	1	no	—
1256	#97	—	53	1	no	—
1257	#97	—	53	1	no	—
1258	#97	—	53	1	no	—
1259	#97	—	53	1	no	—
1260	#97	—	53	1	no	—
1261	#97	—	53	1	no	—
1262	#97	—	53	1	no	—
1263	#97	—	53	1	no	—
1264	#97	—	53	1	no	—
1265	#97	—	53	1	no	—
1266	#97	—	53	1	no	—
1267	#97	—	53	1	no	—
1268	#97	—	53	1	no	—
1269	#97	—	53	1	no	—
1270	#97	—	53	1	no	—
1271	#97	—	53	1	no	—
1272	#97	—	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	—	53	1	no	—
1278	C₄×C₈	—	53	1	no	—
1279	C₄×C₈	—	53	1	no	—
1280	C₄×C₈	—	53	1	no	—
1281	C₄×C₈	—	53	1	no	—
1282	C₄×C₈	—	53	1	no	—
1283	C₄×C₈	—	53	1	no	—
1284	C₄×C₈	—	53	1	no	—
1285	C₄×C₈	—	53	1	no	—
1286	C₄×C₈	—	53	1	no	—
1287	C₄×C₈	—	53	1	no	—
1288	C₄×C₈	—	53	1	no	—
1289	C₄×C₈	—	53	1	no	—
1290	C₄×C₈	—	53	1	no	—
1291	C₄×C₈	—	53	1	no	—
1292	C₄×C₈	—	53	1	no	—
1293	#41	—	212	2	no	—
1294	#41	—	212	2	no	—
1295	C₂×Q₈	—	53	1	no	—
1296	C₂×Q₈	—	53	1	no	—
1297	C₂×Q₈	—	53	1	no	—
1298	C₂×Q₈	—	53	1	no	—
1299	C₂×Q₈	—	53	1	no	—
1300	C₂×Q₈	—	53	1	no	—
1301	C₂×Q₈	—	53	1	no	—
1302	C₂×Q₈	—	53	1	no	—
1303	C₂×Q₈	—	53	1	no	—
1304	C₂×Q₈	—	212	2	no	—
1305	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1306	C₂×D₄	—	53	1	no	—
1307	C₂×D₄	—	53	1	no	—
1308	C₂×D₄	—	53	1	no	—
1309	C₂×D₄	—	53	1	no	—
1310	C₂×D₄	—	53	1	no	—
1311	C₂×D₄	—	53	1	no	—
1312	C₂×D₄	—	53	1	no	—
1313	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1314	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1315	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1316	C₂²×C₄	—	53	1	no	—
1317	C₂²×C₄	—	53	1	no	—
1318	C₂²×C₄	—	53	1	no	—
1319	C₂²×C₄	—	53	1	no	—
1320	C₂²×C₄	—	53	1	no	—
1321	C₂²×C₄	—	53	1	no	—
1322	C₂²×C₄	—	53	1	no	—
1323	C₂²×C₄	—	53	1	no	—
1324	C₂²×C₄	—	53	1	no	—
1325	C₂²×C₄	—	53	1	no	—
1326	C₂²×C₄	—	53	1	no	—
1327	C₂²×C₄	—	53	1	no	—
1328	C₂²×C₄	—	53	1	no	—
1329	C₂²×C₄	—	53	1	no	—
1330	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1331	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1332	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1333	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1334	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1335	M₁₆	—	106	2	no	—
1336	M₁₆	—	106	2	no	—
1337	M₁₆	—	212	1	no	—
1338	M₁₆	—	212	1	no	—
1339	M₁₆	—	212	1	no	—
1340	M₁₆	—	212	1	no	—
1341	M₁₆	—	212	1	no	—
1342	M₁₆	—	212	1	no	—
1343	M₁₆	—	212	1	no	—
1344	M₁₆	—	212	1	no	—
1345	M₁₆	—	212	1	no	—
1346	M₁₆	—	212	1	no	—
1347	C₂×C₈	—	53	1	no	—
1348	C₂×C₈	—	53	1	no	—
1349	C₂×C₈	—	53	1	no	—
1350	C₂×C₈	—	53	1	no	—
1351	C₂×C₈	—	53	1	no	—
1352	C₂×C₈	—	53	1	no	—
1353	C₂×C₈	—	53	1	no	—
1354	C₂×C₈	—	53	1	no	—
1355	C₂×C₈	—	53	1	no	—
1356	C₂×C₈	—	53	1	no	—
1357	C₂×C₈	—	53	1	no	—
1358	C₂×C₈	—	53	1	no	—
1359	C₂×C₈	—	53	1	no	—
1360	C₂×C₈	—	53	1	no	—
1361	C₂×C₈	—	53	1	no	—
1362	C₂×C₈	—	53	1	no	—
1363	C₂×C₈	—	106	2	no	—
1364	C₂×C₈	—	106	2	no	—
1365	C₂×C₈	—	106	2	no	—
1366	C₂×C₈	—	212	1	no	—
1367	C₂×C₈	—	212	1	no	—
1368	C₂×C₈	—	212	1	no	—
1369	C₂×C₈	—	212	1	no	—
1370	C₂×C₈	—	212	1	no	—
1371	C₄⋊C₄	—	53	1	no	—
1372	C₄⋊C₄	—	53	1	no	—
1373	C₄⋊C₄	—	53	1	no	—
1374	C₄⋊C₄	—	53	1	no	—
1375	C₄⋊C₄	—	53	1	no	—
1376	C₄⋊C₄	—	53	1	no	—
1377	C₄⋊C₄	—	53	1	no	—
1378	C₄⋊C₄	—	53	1	no	—
1379	C₄⋊C₄	—	53	1	no	—
1380	C₄⋊C₄	—	53	1	no	—
1381	C₄⋊C₄	—	53	1	no	—
1382	C₄⋊C₄	—	53	1	no	—
1383	C₄⋊C₄	—	53	1	no	—
1384	C₄⋊C₄	—	53	1	no	—
1385	C₄⋊C₄	—	53	1	no	—
1386	C₄⋊C₄	—	53	1	no	—
1387	C₄⋊C₄	—	53	1	no	—
1388	C₄⋊C₄	—	53	1	no	—
1389	C₄⋊C₄	—	53	1	no	—
1390	C₄⋊C₄	—	53	1	no	—
1391	C₄⋊C₄	—	53	1	no	—
1392	C₄⋊C₄	—	53	1	no	—
1393	C₄⋊C₄	—	53	1	no	—
1394	C₄⋊C₄	—	53	1	no	—
1395	C₄⋊C₄	—	53	1	no	—
1396	C₄⋊C₄	—	53	1	no	—
1397	C₄⋊C₄	—	53	1	no	—
1398	C₄⋊C₄	—	53	1	no	—
1399	C₄⋊C₄	—	53	1	no	—
1400	C₄⋊C₄	—	53	1	no	—
1401	C₄⋊C₄	—	53	1	no	—
1402	C₄⋊C₄	—	53	1	no	—
1403	C₄⋊C₄	—	53	1	no	—
1404	C₄⋊C₄	—	53	1	no	—
1405	C₄⋊C₄	—	53	1	no	—
1406	C₄⋊C₄	—	53	1	no	—
1407	C₄⋊C₄	—	53	1	no	—
1408	C₄⋊C₄	—	53	1	no	—
1409	C₄⋊C₄	—	53	1	no	—
1410	C₄⋊C₄	—	53	1	no	—
1411	C₄⋊C₄	—	53	1	no	—
1412	C₄⋊C₄	—	53	1	no	—
1413	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1414	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1415	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1416	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1417	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1418	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1419	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1420	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1421	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1422	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1423	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1424	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1425	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1426	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1427	C₂²⋊C₄	—	53	1	no	—
1428	C₂²⋊C₄	—	53	1	no	—
1429	C₂²⋊C₄	—	53	1	no	—
1430	C₂²⋊C₄	—	53	1	no	—
1431	C₂²⋊C₄	—	53	1	no	—
1432	C₂²⋊C₄	—	53	1	no	—
1433	C₂²⋊C₄	—	53	1	no	—
1434	C₂²⋊C₄	—	53	1	no	—
1435	C₂²⋊C₄	—	53	1	no	—
1436	C₂²⋊C₄	—	53	1	no	—
1437	C₂²⋊C₄	—	53	1	no	—
1438	C₂²⋊C₄	—	53	1	no	—
1439	C₂²⋊C₄	—	53	1	no	—
1440	C₂²⋊C₄	—	53	1	no	—
1441	C₂²⋊C₄	—	53	1	no	—
1442	C₂²⋊C₄	—	53	1	no	—
1443	C₂²⋊C₄	—	53	1	no	—
1444	C₂²⋊C₄	—	53	1	no	—
1445	C₂²⋊C₄	—	53	1	no	—
1446	C₂²⋊C₄	—	53	1	no	—
1447	C₂²⋊C₄	—	53	1	no	—
1448	C₂²⋊C₄	—	53	1	no	—
1449	C₂²⋊C₄	—	53	1	no	—
1450	C₂²⋊C₄	—	53	1	no	—
1451	C₂²⋊C₄	—	53	1	no	—
1452	C₂²⋊C₄	—	53	1	no	—
1453	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1454	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1455	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1456	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1457	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1458	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1459	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1460	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1461	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1462	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1463	C₄²	—	53	1	no	—
1464	C₄²	—	53	1	no	—
1465	C₄²	—	53	1	no	—
1466	C₄²	—	53	1	no	—
1467	C₄²	—	53	1	no	—
1468	C₄²	—	53	1	no	—
1469	C₄²	—	53	1	no	—
1470	C₄²	—	53	1	no	—
1471	C₄²	—	53	1	no	—
1472	C₄²	—	53	1	no	—
1473	C₄²	—	53	1	no	—
1474	C₄²	—	53	1	no	—
1475	C₄²	—	53	1	no	—
1476	C₄²	—	53	1	no	—
1477	C₄²	—	53	1	no	—
1478	C₄²	—	53	1	no	—
1479	C₄²	—	53	1	no	—
1480	C₄²	—	53	1	no	—
1481	C₄²	—	53	1	no	—
1482	C₄²	—	53	1	no	—
1483	C₄²	—	53	1	no	—
1484	C₄²	—	53	1	no	—
1485	C₄²	C₂²×#6157	1	1	yes	characteristic
1486	C₄²	C₂²×#6157	1	1	yes	characteristic
1487	C₂³	—	53	1	no	—
1488	C₂³	—	53	1	no	—
1489	C₂³	C₂³×#6157	1	1	yes	characteristic
1490	C₂³	C₂³×#6157	1	1	yes	characteristic
1491	C₂³	C₂³×#6157	1	1	yes	characteristic
1492	Q₈	—	4	1	no	—
1493	Q₈	—	106	2	no	—
1494	Q₈	—	106	2	no	—
1495	Q₈	—	106	2	no	—
1496	Q₈	—	212	1	no	—
1497	Q₈	—	212	1	no	—
1498	Q₈	—	212	1	no	—
1499	Q₈	—	212	1	no	—
1500	Q₈	—	212	1	no	—
1501	Q₈	—	212	1	no	—
1502	D₄	—	4	1	no	—
1503	D₄	—	4	1	no	—
1504	D₄	—	4	1	no	—
1505	D₄	—	106	2	no	—
1506	D₄	—	212	1	no	—
1507	D₄	—	212	1	no	—
1508	D₄	—	212	1	no	—
1509	D₄	—	212	1	no	—
1510	D₄	—	212	1	no	—
1511	D₄	—	212	1	no	—
1512	C₂×C₄	—	4	1	no	—
1513	C₂×C₄	—	4	1	no	—
1514	C₂×C₄	—	4	1	no	—
1515	C₂×C₄	—	4	1	no	—
1516	C₂×C₄	—	4	1	no	—
1517	C₂×C₄	—	53	1	no	—
1518	C₂×C₄	—	53	1	no	—
1519	C₂×C₄	—	53	1	no	—
1520	C₂×C₄	—	53	1	no	—
1521	C₂×C₄	—	53	1	no	—
1522	C₂×C₄	—	53	1	no	—
1523	C₂×C₄	—	53	1	no	—
1524	C₂×C₄	—	53	1	no	—
1525	C₂×C₄	—	53	1	no	—
1526	C₂×C₄	—	53	1	no	—
1527	C₂×C₄	—	53	1	no	—
1528	C₂×C₄	—	53	1	no	—
1529	C₂×C₄	—	53	1	no	—
1530	C₂×C₄	—	53	1	no	—
1531	C₂×C₄	—	106	1	no	—
1532	C₂×C₄	—	106	1	no	—
1533	C₂×C₄	—	106	1	no	—
1534	C₂×C₄	—	106	1	no	—
1535	C₂×C₄	—	106	2	no	—
1536	C₂×C₄	—	106	1	no	—
1537	C₂×C₄	—	106	1	no	—
1538	C₂×C₄	—	106	1	no	—
1539	C₂×C₄	—	106	1	no	—
1540	C₂×C₄	—	106	1	no	—
1541	C₂×C₄	—	106	1	no	—
1542	C₂×C₄	—	106	2	no	—
1543	C₂×C₄	—	106	2	no	—
1544	C₂×C₄	—	212	1	no	—
1545	C₂×C₄	—	212	1	no	—
1546	C₂×C₄	—	212	1	no	—
1547	C₂×C₄	—	212	1	no	—
1548	C₂×C₄	—	212	1	no	—
1549	C₂×C₄	—	212	1	no	—
1550	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1551	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1552	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1553	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1554	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1555	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1556	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1557	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1558	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1559	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1560	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1561	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
1562	C₈	—	53	2	no	—
1563	C₈	—	106	1	no	—
1564	C₈	—	106	1	no	—
1565	C₈	—	106	1	no	—
1566	C₈	—	106	1	no	—
1567	C₈	—	106	1	no	—
1568	C₈	—	106	1	no	—
1569	C₈	—	106	1	no	—
1570	C₈	—	106	1	no	—
1571	C₈	—	106	1	no	—
1572	C₈	—	106	1	no	—
1573	C₈	—	106	1	no	—
1574	C₈	—	106	1	no	—
1575	C₈	—	106	1	no	—
1576	C₈	—	106	1	no	—
1577	C₈	—	106	1	no	—
1578	C₂²	—	2	1	no	—
1579	C₂²	—	2	1	no	—
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	1	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	2	1	no	—
1585	C₂²	—	2	1	no	—
1586	C₂²	—	2	1	no	—
1587	C₂²	—	106	1	no	—
1588	C₂²	—	106	1	no	—
1589	C₂²	—	106	1	no	—
1590	C₂²	—	106	1	no	—
1591	C₂²	—	106	1	no	—
1592	C₂²	—	106	1	no	—
1593	C₂²	C₂⁴×#6157	1	1	yes	characteristic
1594	C₄	—	2	1	no	—
1595	C₄	—	2	1	no	—
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	2	1	no	—
1602	C₄	—	2	1	no	—
1603	C₄	—	2	1	no	—
1604	C₄	—	2	1	no	—
1605	C₄	—	2	1	no	—
1606	C₄	—	53	1	no	—
1607	C₄	—	53	1	no	—
1608	C₄	—	53	2	no	—
1609	C₄	—	106	1	no	—
1610	C₄	—	106	1	no	—
1611	C₄	—	106	1	no	—
1612	C₄	—	106	1	no	—
1613	C₄	—	106	1	no	—
1614	C₄	—	106	1	no	—
1615	C₄	—	106	1	no	—
1616	C₄	—	106	1	no	—
1617	C₄	—	106	1	no	—
1618	C₄	—	106	1	no	—
1619	C₄	—	106	1	no	—
1620	C₄	—	106	1	no	—
1621	C₂	—	4	1	no	—
1622	C₂	—	4	1	no	—
1623	C₂	—	4	1	no	—
1624	C₂	—	212	1	no	—
1625	C₂	—	212	1	no	—
1626	C₂	2₋¹⁺⁴×#6157	1	1	yes	characteristic
1627	C₂	D₅₃⋊#568	1	1	yes	characteristic
1628	C₂	#20291710	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#539	C₄
prime radical	#16811200	C₄
cosocle	C₂×Dic₅₃	C₂⁵
hypercenter	#539	#6157
hypocenter	C₅₃	#60344
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #539

Complements

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

N	H ≅ G/N	type
1. #20291672	C₂	semidirect
2. #20291670	C₂	semidirect
3. #20291669	C₂	semidirect
4. #20291669	C₂	semidirect
5. #20291663	C₂	semidirect
6. #20291659	C₂	semidirect
7. #20291657	C₂	semidirect
8. #20291656	C₂	semidirect
9. #20291646	C₂	semidirect
10. #20291635	C₂	semidirect
11. #20291624	C₂	semidirect
12. #20291622	C₂	semidirect
13. #20291622	C₂	semidirect
14. #20291619	C₂	semidirect
15. #20291615	C₂	semidirect
16. #20291555	C₂	semidirect
17. #20291549	C₂	semidirect
18. #20291549	C₂	semidirect
19. #20291548	C₂	semidirect
20. #20291545	C₂	semidirect
21. #20291542	C₂	semidirect
22. #20291537	C₂	semidirect
23. #20291534	C₂	semidirect
24. #20291533	C₂	semidirect
25. #20291527	C₂	semidirect
26. #20291516	C₂	semidirect
27. #20291512	C₂	semidirect
28. #20291507	C₂	semidirect
29. #20291506	C₂	semidirect
30. #20291505	C₂	semidirect
1017. C₅₃	#60344	semidirect

Maximal subgroups

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

subgroup	index
#20291672	2
#20291670	2
#20291669	2
#20291663	2
#20291659	2
#20291657	2
#20291656	2
#20291646	2
#20291635	2
#20291624	2
#20291622	2
#20291619	2
#20291615	2
#20291555	2
#20291549	2
#20291548	2
#20291545	2
#20291542	2
#20291537	2
#20291534	2
#20291533	2
#20291527	2
#20291516	2
#20291512	2
#20291507	2
#20291506	2
#20291505	2
#20288145	2
#60344	53