Subgroups — #6409207

Order 512.

1252 conjugacy classes of subgroups.

The subgroup lattice has 1131 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#34948	C₂	1	1	yes	maximal, characteristic
2	#23371	C₂	1	1	yes	maximal, characteristic, complemented
3	#23370	C₂	1	1	yes	maximal, characteristic, complemented
4	#23370	C₂	1	1	yes	maximal, characteristic, complemented
5	#23369	C₂	1	1	yes	maximal, characteristic, complemented
6	#23262	C₂	1	1	yes	maximal, characteristic, complemented
7	#23260	C₂	1	1	yes	maximal, characteristic, complemented
8	#23260	C₂	1	1	yes	maximal, characteristic, complemented
9	#23259	C₂	1	1	yes	maximal, characteristic, complemented
10	#22627	C₂	1	1	yes	maximal, characteristic
11	#22625	C₂	1	1	yes	maximal, characteristic
12	#22602	C₂	1	1	yes	maximal, characteristic
13	#22602	C₂	1	1	yes	maximal, characteristic
14	#22600	C₂	1	1	yes	maximal, characteristic
15	#22600	C₂	1	1	yes	maximal, characteristic
16	#22600	C₂	1	1	yes	maximal, characteristic
17	#22600	C₂	1	1	yes	maximal, characteristic
18	#22383	C₂	1	1	yes	maximal, characteristic, complemented
19	#22379	C₂	1	1	yes	maximal, characteristic, complemented
20	#22377	C₂	1	1	yes	maximal, characteristic, complemented
21	#22373	C₂	1	1	yes	maximal, characteristic, complemented
22	#22306	C₂	1	1	yes	maximal, characteristic, complemented
23	#22306	C₂	1	1	yes	maximal, characteristic, complemented
24	#22302	C₂	1	1	yes	maximal, characteristic, complemented
25	#22300	C₂	1	1	yes	maximal, characteristic, complemented
26	#21958	C₂	1	1	yes	maximal, characteristic
27	#21957	C₂	1	1	yes	maximal, characteristic
28	#21915	C₂	1	1	yes	maximal, characteristic
29	#21913	C₂	1	1	yes	maximal, characteristic
30	#20813	C₂	1	1	yes	maximal, characteristic
31	#20784	C₂	1	1	yes	maximal, characteristic
32	C₂×#433	C₂²	1	1	yes	characteristic
33	C₂×#433	C₂²	1	1	yes	characteristic
34	C₂×#433	C₂²	1	1	yes	characteristic
35	C₂×#433	C₂²	1	1	yes	characteristic
36	C₂×#433	C₂²	1	1	yes	characteristic
37	C₂×#433	C₂²	1	1	yes	characteristic
38	#2571	C₄	1	1	yes	characteristic
39	#2571	C₄	1	1	yes	characteristic
40	#2570	C₄	1	1	yes	characteristic
41	#2570	C₄	1	1	yes	characteristic
42	#2570	C₄	1	1	yes	characteristic
43	#2570	C₄	1	1	yes	characteristic
44	#2569	C₄	1	1	yes	characteristic
45	#2569	C₄	1	1	yes	characteristic
46	#2569	C₄	1	1	yes	characteristic
47	#2569	C₄	1	1	yes	characteristic
48	#2552	C₄	1	1	yes	characteristic
49	#2552	C₄	1	1	yes	characteristic
50	#2442	C₄	1	1	yes	characteristic
51	#2442	C₄	1	1	yes	characteristic
52	#2442	C₄	1	1	yes	characteristic
53	#2442	C₄	1	1	yes	characteristic
54	#2402	C₂²	1	1	yes	characteristic
55	#2402	C₂²	1	1	yes	characteristic
56	#2402	C₂²	1	1	yes	characteristic
57	#2402	C₂²	1	1	yes	characteristic
58	C₄×#125	C₂²	1	1	yes	characteristic
59	C₄×#125	C₂²	1	1	yes	characteristic
60	C₄×#125	C₂²	1	1	yes	characteristic
61	C₄×#125	C₂²	1	1	yes	characteristic
62	#2296	C₂²	1	1	yes	characteristic
63	#2296	C₂²	1	1	yes	characteristic
64	#2285	C₂²	1	1	yes	characteristic
65	#2285	C₂²	1	1	yes	characteristic
66	#2285	C₂²	1	1	yes	characteristic
67	C₄×#117	C₂²	1	1	yes	characteristic
68	C₂×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
69	#1940	C₂²	1	1	yes	characteristic
70	#1940	C₂²	1	1	yes	characteristic
71	#1940	C₂²	1	1	yes	characteristic
72	#1940	C₂²	1	1	yes	characteristic
73	#1940	C₂²	1	1	yes	characteristic
74	#1940	C₂²	1	1	yes	characteristic
75	#1940	C₂²	1	1	yes	characteristic
76	#1940	C₂²	1	1	yes	characteristic
77	#1940	C₂²	1	1	yes	characteristic
78	#1940	C₂²	1	1	yes	characteristic
79	#1940	C₂²	1	1	yes	characteristic
80	#1940	C₂²	1	1	yes	characteristic
81	#1940	C₂²	1	1	yes	characteristic
82	#1940	C₂²	1	1	yes	characteristic
83	#1939	C₂²	1	1	yes	characteristic
84	#1939	C₂²	1	1	yes	characteristic
85	#1939	C₂²	1	1	yes	characteristic
86	#1939	C₂²	1	1	yes	characteristic
87	#1939	C₂²	1	1	yes	characteristic
88	#1939	C₂²	1	1	yes	characteristic
89	#1939	C₂²	1	1	yes	characteristic
90	#1939	C₂²	1	1	yes	characteristic
91	#1939	C₂²	1	1	yes	characteristic
92	#1939	C₂²	1	1	yes	characteristic
93	#1939	C₂²	1	1	yes	characteristic
94	#1939	C₂²	1	1	yes	characteristic
95	#1939	C₂²	1	1	yes	characteristic
96	#1939	C₂²	1	1	yes	characteristic
97	#1939	C₂²	1	1	yes	characteristic
98	#1939	C₂²	1	1	yes	characteristic
99	#1939	C₂²	1	1	yes	characteristic
100	#1939	C₂²	1	1	yes	characteristic
101	#1917	C₂²	1	1	yes	characteristic
102	#1917	C₂²	1	1	yes	characteristic
103	#1917	C₂²	1	1	yes	characteristic
104	#1917	C₂²	1	1	yes	characteristic
105	#1917	C₂²	1	1	yes	characteristic
106	#1917	C₂²	1	1	yes	characteristic
107	#1917	C₂²	1	1	yes	characteristic
108	#1917	C₂²	1	1	yes	characteristic
109	#1917	C₂²	1	1	yes	characteristic
110	#1917	C₂²	1	1	yes	characteristic
111	#1917	C₂²	1	1	yes	characteristic
112	#1917	C₂²	1	1	yes	characteristic
113	#1917	C₂²	1	1	yes	characteristic
114	#1917	C₂²	1	1	yes	characteristic
115	#1917	C₂²	1	1	yes	characteristic
116	#1917	C₂²	1	1	yes	characteristic
117	#1917	C₂²	1	1	yes	characteristic
118	#1917	C₂²	1	1	yes	characteristic
119	#1916	C₂²	1	1	yes	characteristic
120	#1916	C₂²	1	1	yes	characteristic
121	#1916	C₂²	1	1	yes	characteristic
122	#1916	C₂²	1	1	yes	characteristic
123	#1916	C₂²	1	1	yes	characteristic
124	#1916	C₂²	1	1	yes	characteristic
125	#1916	C₂²	1	1	yes	characteristic
126	#1916	C₂²	1	1	yes	characteristic
127	#1916	C₂²	1	1	yes	characteristic
128	#1916	C₂²	1	1	yes	characteristic
129	#1916	C₂²	1	1	yes	characteristic
130	#1916	C₂²	1	1	yes	characteristic
131	#1916	C₂²	1	1	yes	characteristic
132	#1916	C₂²	1	1	yes	characteristic
133	#1916	C₂²	1	1	yes	characteristic
134	#1916	C₂²	1	1	yes	characteristic
135	#1916	C₂²	1	1	yes	characteristic
136	#1916	C₂²	1	1	yes	characteristic
137	#1916	C₂²	1	1	yes	characteristic
138	#1916	C₂²	1	1	yes	characteristic
139	#1916	C₂²	1	1	yes	characteristic
140	#1916	C₂²	1	1	yes	characteristic
141	#1916	C₂²	1	1	yes	characteristic
142	#1916	C₂²	1	1	yes	characteristic
143	#1916	C₂²	1	1	yes	characteristic
144	#1916	C₂²	1	1	yes	characteristic
145	#1916	C₂²	1	1	yes	characteristic
146	#1916	C₂²	1	1	yes	characteristic
147	#1916	C₂²	1	1	yes	characteristic
148	#1916	C₂²	1	1	yes	characteristic
149	#1843	C₂²	1	1	yes	characteristic
150	#1843	C₂²	1	1	yes	characteristic
151	#1839	C₂²	1	1	yes	characteristic
152	#1839	C₂²	1	1	yes	characteristic
153	#1831	C₂²	1	1	yes	characteristic
154	#1831	C₂²	1	1	yes	characteristic
155	#1831	C₂²	1	1	yes	characteristic
156	#1831	C₂²	1	1	yes	characteristic
157	#1818	C₂²	1	1	yes	characteristic
158	#1818	C₂²	1	1	yes	characteristic
159	#1818	C₂²	1	1	yes	characteristic
160	#1818	C₂²	1	1	yes	characteristic
161	#1818	C₂²	1	1	yes	characteristic
162	#1818	C₂²	1	1	yes	characteristic
163	#1798	C₂²	1	1	yes	characteristic
164	#1798	C₂²	1	1	yes	characteristic
165	#1798	C₂²	1	1	yes	characteristic
166	#1798	C₂²	1	1	yes	characteristic
167	#1797	C₂²	1	1	yes	characteristic
168	#1797	C₂²	1	1	yes	characteristic
169	#1797	C₂²	1	1	yes	characteristic
170	#1797	C₂²	1	1	yes	characteristic
171	#1797	C₂²	1	1	yes	characteristic
172	#1797	C₂²	1	1	yes	characteristic
173	#1771	C₂²	1	1	yes	characteristic
174	#1771	C₂²	1	1	yes	characteristic
175	#1771	C₂²	1	1	yes	characteristic
176	#1771	C₂²	1	1	yes	characteristic
177	#1771	C₂²	1	1	yes	characteristic
178	#1771	C₂²	1	1	yes	characteristic
179	#1770	C₂²	1	1	yes	characteristic
180	#1770	C₂²	1	1	yes	characteristic
181	#1770	C₂²	1	1	yes	characteristic
182	#1770	C₂²	1	1	yes	characteristic
183	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
184	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
185	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
186	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
187	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
188	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
189	#1768	C₂²	1	1	yes	characteristic
190	#1768	C₂²	1	1	yes	characteristic
191	#1768	C₂²	1	1	yes	characteristic
192	#1768	C₂²	1	1	yes	characteristic
193	#1767	C₂²	1	1	yes	characteristic
194	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
195	#1749	C₂²	1	1	yes	characteristic
196	#1749	C₂²	1	1	yes	characteristic
197	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
198	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
200	C₄×C₂²⋊C₈	C₂²	1	1	yes	characteristic
201	#1746	C₂²	1	1	yes	characteristic
202	#1746	C₂²	1	1	yes	characteristic
203	C₂×#125	C₂×C₄	1	1	yes	characteristic
204	C₂×#125	C₂×C₄	1	1	yes	characteristic
205	C₂×#125	C₂×C₄	1	1	yes	characteristic
206	C₂×#125	C₂×C₄	1	1	yes	characteristic
207	C₂×#117	C₂³	1	1	yes	characteristic
208	C₂×#117	C₂³	1	1	yes	characteristic
209	C₂×#117	C₂³	1	1	yes	characteristic
210	C₂×#117	C₂³	1	1	yes	characteristic
211	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
212	C₂²×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
213	C₂²×C₄²	C₂³	1	1	yes	characteristic
214	C₂²×C₄²	C₂³	1	1	yes	characteristic
215	C₂²×C₄²	C₂³	1	1	yes	characteristic
216	#433	—	4	2	no	—
217	#433	—	4	2	no	—
218	#433	—	4	2	no	—
219	#433	—	4	2	no	—
220	#433	—	4	2	no	—
221	#433	—	4	2	no	—
222	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
262	C₂×#97	C₂³	1	1	yes	characteristic
263	C₂×#97	C₂³	1	1	yes	characteristic
264	C₂×#97	C₂³	1	1	yes	characteristic
265	C₂×#97	C₂³	1	1	yes	characteristic
266	C₂×#97	C₂³	1	1	yes	characteristic
267	C₂×#97	C₂³	1	1	yes	characteristic
268	C₂×#97	C₂³	1	1	yes	characteristic
269	C₂×#97	C₂³	1	1	yes	characteristic
270	C₂×#97	C₂³	1	1	yes	characteristic
271	C₂×#97	C₂³	1	1	yes	characteristic
272	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
273	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
274	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
275	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
276	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
277	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
278	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
279	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
280	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
281	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
282	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
283	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
284	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
285	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
286	#400	C₂×C₄	1	1	yes	characteristic
287	#400	C₂×C₄	1	1	yes	characteristic
288	#400	C₂×C₄	1	1	yes	characteristic
289	#400	C₂×C₄	1	1	yes	characteristic
290	#400	C₂×C₄	1	1	yes	characteristic
291	#400	C₂×C₄	1	1	yes	characteristic
292	#400	C₂×C₄	1	1	yes	characteristic
293	#400	C₂×C₄	1	1	yes	characteristic
294	#400	C₂×C₄	1	1	yes	characteristic
295	#400	C₂×C₄	1	1	yes	characteristic
296	#400	C₂×C₄	1	1	yes	characteristic
297	#400	C₂×C₄	1	1	yes	characteristic
298	#400	C₂×C₄	1	1	yes	characteristic
299	#400	C₂×C₄	1	1	yes	characteristic
300	#400	C₂×C₄	1	1	yes	characteristic
301	#400	C₂×C₄	1	1	yes	characteristic
302	#398	C₂×C₄	1	1	yes	characteristic
303	#398	C₂×C₄	1	1	yes	characteristic
304	#398	C₂×C₄	1	1	yes	characteristic
305	#398	C₂×C₄	1	1	yes	characteristic
306	#398	C₂×C₄	1	1	yes	characteristic
307	#398	C₂×C₄	1	1	yes	characteristic
308	#398	C₂×C₄	1	1	yes	characteristic
309	#398	C₂×C₄	1	1	yes	characteristic
310	#398	C₂×C₄	1	1	yes	characteristic
311	#398	C₂×C₄	1	1	yes	characteristic
312	#398	C₂×C₄	1	1	yes	characteristic
313	#398	C₂×C₄	1	1	yes	characteristic
314	#398	C₂×C₄	1	1	yes	characteristic
315	#398	C₂×C₄	1	1	yes	characteristic
316	#398	C₂×C₄	1	1	yes	characteristic
317	#398	C₂×C₄	1	1	yes	characteristic
318	#389	C₂×C₄	1	1	yes	characteristic
319	#389	C₂×C₄	1	1	yes	characteristic
320	#389	C₂×C₄	1	1	yes	characteristic
321	#389	C₂×C₄	1	1	yes	characteristic
322	#389	C₂×C₄	1	1	yes	characteristic
323	#389	C₂×C₄	1	1	yes	characteristic
324	#389	C₂×C₄	1	1	yes	characteristic
325	#389	C₂×C₄	1	1	yes	characteristic
326	#389	C₂×C₄	1	1	yes	characteristic
327	#389	C₂×C₄	1	1	yes	characteristic
328	#389	C₂×C₄	1	1	yes	characteristic
329	#389	C₂×C₄	1	1	yes	characteristic
330	#389	C₂×C₄	1	1	yes	characteristic
331	#389	C₂×C₄	1	1	yes	characteristic
332	#389	C₂×C₄	1	1	yes	characteristic
333	#389	C₂×C₄	1	1	yes	characteristic
334	#387	C₂×C₄	1	1	yes	characteristic
335	#387	C₂×C₄	1	1	yes	characteristic
336	#387	C₂×C₄	1	1	yes	characteristic
337	#387	C₂×C₄	1	1	yes	characteristic
338	#387	C₂×C₄	1	1	yes	characteristic
339	#387	C₂×C₄	1	1	yes	characteristic
340	#387	C₂×C₄	1	1	yes	characteristic
341	#387	C₂×C₄	1	1	yes	characteristic
342	#387	C₂×C₄	1	1	yes	characteristic
343	#387	C₂×C₄	1	1	yes	characteristic
344	#387	C₂×C₄	1	1	yes	characteristic
345	#387	C₂×C₄	1	1	yes	characteristic
346	#387	C₂×C₄	1	1	yes	characteristic
347	#387	C₂×C₄	1	1	yes	characteristic
348	#387	C₂×C₄	1	1	yes	characteristic
349	#387	C₂×C₄	1	1	yes	characteristic
350	#385	C₂×C₄	1	1	yes	characteristic
351	#385	C₂×C₄	1	1	yes	characteristic
352	#385	C₂×C₄	1	1	yes	characteristic
353	#385	C₂×C₄	1	1	yes	characteristic
354	#385	C₂×C₄	1	1	yes	characteristic
355	#385	C₂×C₄	1	1	yes	characteristic
356	#385	C₂×C₄	1	1	yes	characteristic
357	#385	C₂×C₄	1	1	yes	characteristic
358	#384	C₂×C₄	1	1	yes	characteristic
359	#384	C₂×C₄	1	1	yes	characteristic
360	#384	C₂×C₄	1	1	yes	characteristic
361	#384	C₂×C₄	1	1	yes	characteristic
362	#384	C₂×C₄	1	1	yes	characteristic
363	#384	C₂×C₄	1	1	yes	characteristic
364	#382	C₂×C₄	1	1	yes	characteristic
365	#382	C₂×C₄	1	1	yes	characteristic
366	#382	C₂×C₄	1	1	yes	characteristic
367	#382	C₂×C₄	1	1	yes	characteristic
368	#382	C₂×C₄	1	1	yes	characteristic
369	#382	C₂×C₄	1	1	yes	characteristic
370	#382	C₂×C₄	1	1	yes	characteristic
371	#382	C₂×C₄	1	1	yes	characteristic
372	#382	C₂×C₄	1	1	yes	characteristic
373	#382	C₂×C₄	1	1	yes	characteristic
374	#380	C₂×C₄	1	1	yes	characteristic
375	#380	C₂×C₄	1	1	yes	characteristic
376	#380	C₂×C₄	1	1	yes	characteristic
377	#380	C₂×C₄	1	1	yes	characteristic
378	#380	C₂×C₄	1	1	yes	characteristic
379	#380	C₂×C₄	1	1	yes	characteristic
380	#380	C₂×C₄	1	1	yes	characteristic
381	#380	C₂×C₄	1	1	yes	characteristic
382	#380	C₂×C₄	1	1	yes	characteristic
383	#380	C₂×C₄	1	1	yes	characteristic
384	#380	C₂×C₄	1	1	yes	characteristic
385	#380	C₂×C₄	1	1	yes	characteristic
386	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
387	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
388	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
389	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
390	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
391	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
392	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
393	C₄×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
394	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
395	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
396	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
397	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
398	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
399	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
400	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
401	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
402	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
403	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
404	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
405	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
406	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
407	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
408	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
409	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
410	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
411	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
412	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
413	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
414	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
415	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
416	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
417	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
418	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
419	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
420	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
421	C₄×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
422	#376	C₂³	1	1	yes	characteristic
423	#376	C₂³	1	1	yes	characteristic
424	C₂×#95	C₂×C₄	1	1	yes	characteristic
425	C₂×#95	C₂×C₄	1	1	yes	characteristic
426	C₄³	C₂³	1	1	yes	characteristic
427	C₄³	C₂³	1	1	yes	characteristic
428	#336	C₂³	1	1	yes	characteristic
429	#336	C₂³	1	1	yes	characteristic
430	#336	C₂³	1	1	yes	characteristic
431	#336	C₂³	1	1	yes	characteristic
432	#336	C₂³	1	1	yes	characteristic
433	#336	C₂³	1	1	yes	characteristic
434	#336	C₂³	1	1	yes	characteristic
435	#336	C₂³	1	1	yes	characteristic
436	#336	C₂³	1	1	yes	characteristic
437	#336	C₂³	1	1	yes	characteristic
438	#336	C₂³	1	1	yes	characteristic
439	#336	C₂³	1	1	yes	characteristic
440	#336	C₂³	1	1	yes	characteristic
441	#336	C₂³	1	1	yes	characteristic
442	#336	C₂³	1	1	yes	characteristic
443	#336	C₂³	1	1	yes	characteristic
444	#336	C₂³	1	1	yes	characteristic
445	#336	C₂³	1	1	yes	characteristic
446	#336	C₂³	1	1	yes	characteristic
447	#336	C₂³	1	1	yes	characteristic
448	#336	C₂³	1	1	yes	characteristic
449	#336	C₂³	1	1	yes	characteristic
450	#336	C₂³	1	1	yes	characteristic
451	#336	C₂³	1	1	yes	characteristic
452	#336	C₂³	1	1	yes	characteristic
453	#336	C₂³	1	1	yes	characteristic
454	#336	C₂³	1	1	yes	characteristic
455	#336	C₂³	1	1	yes	characteristic
456	#336	C₂³	1	1	yes	characteristic
457	#336	C₂³	1	1	yes	characteristic
458	#336	C₂³	1	1	yes	characteristic
459	#336	C₂³	1	1	yes	characteristic
460	#336	C₂³	1	1	yes	characteristic
461	#336	C₂³	1	1	yes	characteristic
462	#336	C₂³	1	1	yes	characteristic
463	#336	C₂³	1	1	yes	characteristic
464	#336	C₂³	1	1	yes	characteristic
465	#336	C₂³	1	1	yes	characteristic
466	#336	C₂³	1	1	yes	characteristic
467	#336	C₂³	1	1	yes	characteristic
468	#336	C₂³	1	1	yes	characteristic
469	#336	C₂³	1	1	yes	characteristic
470	#336	C₂³	1	1	yes	characteristic
471	#336	C₂³	1	1	yes	characteristic
472	#336	C₂³	1	1	yes	characteristic
473	#336	C₂³	1	1	yes	characteristic
474	#336	C₂³	1	1	yes	characteristic
475	#336	C₂³	1	1	yes	characteristic
476	#336	C₂³	1	1	yes	characteristic
477	#336	C₂³	1	1	yes	characteristic
478	#336	C₂³	1	1	yes	characteristic
479	#336	C₂³	1	1	yes	characteristic
480	#336	C₂³	1	1	yes	characteristic
481	#336	C₂³	1	1	yes	characteristic
482	#336	C₂³	1	1	yes	characteristic
483	#336	C₂³	1	1	yes	characteristic
484	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
485	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
486	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
487	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
488	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
489	C₂³×C₄	C₂²×C₄	1	1	yes	characteristic
490	C₂³×C₄	C₂⁴	1	1	yes	characteristic
491	C₂²×C₈	C₂⁴	1	1	yes	characteristic
492	C₂²×C₈	C₂⁴	1	1	yes	characteristic
493	C₂²×C₈	C₂⁴	1	1	yes	characteristic
494	C₂²×C₈	C₂⁴	1	1	yes	characteristic
495	C₂²×C₈	C₂⁴	1	1	yes	characteristic
496	C₂²×C₈	C₂⁴	1	1	yes	characteristic
497	C₂²×C₈	C₂⁴	1	1	yes	characteristic
498	C₂²×C₈	C₂⁴	1	1	yes	characteristic
499	C₂²×C₈	C₂⁴	1	1	yes	characteristic
500	C₂²×C₈	C₂⁴	1	1	yes	characteristic
501	C₂²×C₈	C₂⁴	1	1	yes	characteristic
502	C₂²×C₈	C₂⁴	1	1	yes	characteristic
503	C₂²×C₈	C₂⁴	1	1	yes	characteristic
504	C₂²×C₈	C₂⁴	1	1	yes	characteristic
505	C₂²×C₈	C₂⁴	1	1	yes	characteristic
506	C₂²×C₈	C₂⁴	1	1	yes	characteristic
507	#125	—	2	4	no	—
508	#125	—	2	4	no	—
509	#125	—	4	2	no	—
510	#125	—	4	2	no	—
511	#117	—	2	2	no	—
512	#117	—	2	2	no	—
513	#117	—	2	2	no	—
514	#117	—	2	2	no	—
515	#117	—	2	2	no	—
516	#117	—	2	2	no	—
517	#117	—	4	1	no	—
518	#117	—	4	1	no	—
519	C₂×C₄⋊C₄	—	2	4	no	—
520	C₂×C₄⋊C₄	—	4	2	no	—
521	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
522	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
523	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
524	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
525	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
526	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
527	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
528	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
529	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
530	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
531	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
532	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
533	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
534	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
535	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
536	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
537	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
538	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
539	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
540	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
541	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
542	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
543	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
544	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
545	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
546	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
569	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
570	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
571	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
572	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
573	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
574	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
575	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
576	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
577	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
578	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
579	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
580	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
581	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
582	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
583	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
584	C₂×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₄²	—	2	2	no	—
586	C₂×C₄²	—	2	2	no	—
587	C₂×C₄²	—	4	1	no	—
588	C₂×C₄²	—	4	1	no	—
589	C₂×C₄²	—	4	1	no	—
590	C₂×C₄²	—	4	1	no	—
591	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
592	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
593	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
599	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
600	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
601	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
602	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
603	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
604	C₂×C₄²	C₂²×C₄	1	1	yes	characteristic
605	C₂×C₄²	C₂⁴	1	1	yes	characteristic
606	C₂×C₄²	C₂⁴	1	1	yes	characteristic
607	C₂×C₄²	C₂⁴	1	1	yes	characteristic
608	C₂×C₄²	C₂⁴	1	1	yes	characteristic
609	C₂×C₄²	C₂⁴	1	1	yes	characteristic
610	C₂×C₄²	C₂⁴	1	1	yes	characteristic
611	C₂×C₄²	C₂⁴	1	1	yes	characteristic
612	C₂×C₄²	C₂⁴	1	1	yes	characteristic
613	C₂×C₄²	C₂⁴	1	1	yes	characteristic
614	C₂×C₄²	C₂⁴	1	1	yes	characteristic
615	C₂×C₄²	C₂⁴	1	1	yes	characteristic
616	C₂×C₄²	C₂⁴	1	1	yes	characteristic
617	C₂×C₄²	C₂⁴	1	1	yes	characteristic
618	C₂×C₄²	C₂⁴	1	1	yes	characteristic
619	C₄⋊C₈	—	2	2	no	—
620	C₄⋊C₈	—	2	2	no	—
621	C₄⋊C₈	—	2	2	no	—
622	C₄⋊C₈	—	2	2	no	—
623	C₄⋊C₈	—	4	1	no	—
624	C₄⋊C₈	—	4	1	no	—
625	C₄⋊C₈	—	4	1	no	—
626	C₄⋊C₈	—	4	1	no	—
627	C₄⋊C₈	—	4	1	no	—
628	C₄⋊C₈	—	4	1	no	—
629	C₄⋊C₈	—	4	1	no	—
630	C₄⋊C₈	—	4	1	no	—
631	C₄⋊C₈	—	4	1	no	—
632	C₄⋊C₈	—	4	1	no	—
633	C₄⋊C₈	—	4	1	no	—
634	C₄⋊C₈	—	4	1	no	—
635	C₄⋊C₈	—	4	1	no	—
636	C₄⋊C₈	—	4	1	no	—
637	C₄⋊C₈	—	4	1	no	—
638	C₄⋊C₈	—	4	1	no	—
639	C₄⋊C₈	—	4	1	no	—
640	C₄⋊C₈	—	4	1	no	—
641	C₄⋊C₈	—	4	1	no	—
642	C₄⋊C₈	—	4	1	no	—
643	C₄⋊C₈	—	4	1	no	—
644	C₄⋊C₈	—	4	1	no	—
645	C₄⋊C₈	—	4	1	no	—
646	C₄⋊C₈	—	4	1	no	—
647	C₄⋊C₈	—	4	1	no	—
648	C₄⋊C₈	—	4	1	no	—
649	C₄⋊C₈	—	4	1	no	—
650	C₄⋊C₈	—	4	1	no	—
651	C₂²⋊C₈	—	2	2	no	—
652	C₂²⋊C₈	—	2	2	no	—
653	C₂²⋊C₈	—	2	2	no	—
654	C₂²⋊C₈	—	2	2	no	—
655	C₂²⋊C₈	—	2	2	no	—
656	C₂²⋊C₈	—	2	2	no	—
657	C₂²⋊C₈	—	2	2	no	—
658	C₂²⋊C₈	—	2	2	no	—
659	#97	—	2	2	no	—
660	#97	—	2	2	no	—
661	#97	—	4	1	no	—
662	#97	—	4	1	no	—
663	#97	—	4	1	no	—
664	#97	—	4	1	no	—
665	#97	—	4	1	no	—
666	#97	—	4	1	no	—
667	#97	—	4	1	no	—
668	#97	—	4	1	no	—
669	C₄×C₈	—	2	2	no	—
670	C₄×C₈	—	2	2	no	—
671	C₄×C₈	—	4	1	no	—
672	C₄×C₈	—	4	1	no	—
673	C₄×C₈	—	4	1	no	—
674	C₄×C₈	—	4	1	no	—
675	C₄×C₈	—	4	1	no	—
676	C₄×C₈	—	4	1	no	—
677	C₄×C₈	—	4	1	no	—
678	C₄×C₈	—	4	1	no	—
679	C₄×C₈	—	4	1	no	—
680	C₄×C₈	—	4	1	no	—
681	C₄×C₈	—	4	1	no	—
682	C₄×C₈	—	4	1	no	—
683	#95	C₂²×C₄	1	1	yes	characteristic
684	#95	C₂²×C₄	1	1	yes	characteristic
685	#95	C₂²×C₄	1	1	yes	characteristic
686	#95	C₂²×C₄	1	1	yes	characteristic
687	#95	C₂²×C₄	1	1	yes	characteristic
688	#95	C₂²×C₄	1	1	yes	characteristic
689	#95	C₂²×C₄	1	1	yes	characteristic
690	#95	C₂²×C₄	1	1	yes	characteristic
691	#95	C₂²×C₄	1	1	yes	characteristic
692	#95	C₂²×C₄	1	1	yes	characteristic
693	#95	C₂²×C₄	1	1	yes	characteristic
694	#95	C₂²×C₄	1	1	yes	characteristic
695	#95	C₂²×C₄	1	1	yes	characteristic
696	#95	C₂²×C₄	1	1	yes	characteristic
697	#95	C₂²×C₄	1	1	yes	characteristic
698	#95	C₂²×C₄	1	1	yes	characteristic
699	#95	C₂²×C₄	1	1	yes	characteristic
700	#95	C₂²×C₄	1	1	yes	characteristic
701	#95	C₂²×C₄	1	1	yes	characteristic
702	#95	C₂²×C₄	1	1	yes	characteristic
703	#95	C₂²×C₄	1	1	yes	characteristic
704	#95	C₂²×C₄	1	1	yes	characteristic
705	#95	C₂²×C₄	1	1	yes	characteristic
706	#95	C₂²×C₄	1	1	yes	characteristic
707	#95	C₂²×C₄	1	1	yes	characteristic
708	#95	C₂²×C₄	1	1	yes	characteristic
709	#95	C₂²×C₄	1	1	yes	characteristic
710	#95	C₂²×C₄	1	1	yes	characteristic
711	#95	C₂²×C₄	1	1	yes	characteristic
712	#95	C₂²×C₄	1	1	yes	characteristic
713	#95	C₂²×C₄	1	1	yes	characteristic
714	#95	C₂²×C₄	1	1	yes	characteristic
715	#95	C₂²×C₄	1	1	yes	characteristic
716	#95	C₂²×C₄	1	1	yes	characteristic
717	#95	C₂²×C₄	1	1	yes	characteristic
718	#95	C₂²×C₄	1	1	yes	characteristic
719	#95	C₂²×C₄	1	1	yes	characteristic
720	#95	C₂²×C₄	1	1	yes	characteristic
721	#95	C₂²×C₄	1	1	yes	characteristic
722	#95	C₂²×C₄	1	1	yes	characteristic
723	#95	C₂²×C₄	1	1	yes	characteristic
724	#95	C₂²×C₄	1	1	yes	characteristic
725	#95	C₂²×C₄	1	1	yes	characteristic
726	#95	C₂²×C₄	1	1	yes	characteristic
727	#95	C₂²×C₄	1	1	yes	characteristic
728	#95	C₂²×C₄	1	1	yes	characteristic
729	#95	C₂²×C₄	1	1	yes	characteristic
730	#95	C₂²×C₄	1	1	yes	characteristic
731	#95	C₂²×C₄	1	1	yes	characteristic
732	#95	C₂²×C₄	1	1	yes	characteristic
733	#95	C₂²×C₄	1	1	yes	characteristic
734	#95	C₂²×C₄	1	1	yes	characteristic
735	#95	C₂²×C₄	1	1	yes	characteristic
736	#95	C₂²×C₄	1	1	yes	characteristic
737	#95	C₂²×C₄	1	1	yes	characteristic
738	#95	C₂²×C₄	1	1	yes	characteristic
739	C₂⁴	C₂³×C₄	1	1	yes	characteristic
740	C₂²×C₄	—	2	1	no	—
741	C₂²×C₄	—	2	1	no	—
742	C₂²×C₄	—	2	1	no	—
743	C₂²×C₄	—	2	1	no	—
744	C₂²×C₄	—	2	2	no	—
745	C₂²×C₄	—	2	2	no	—
746	C₂²×C₄	—	2	2	no	—
747	C₂²×C₄	—	2	2	no	—
748	C₂²×C₄	—	2	2	no	—
749	C₂²×C₄	—	2	2	no	—
750	C₂²×C₄	—	4	1	no	—
751	C₂²×C₄	—	4	1	no	—
752	C₂²×C₄	—	4	1	no	—
753	C₂²×C₄	—	4	1	no	—
754	C₂²×C₄	—	4	1	no	—
755	C₂²×C₄	—	4	1	no	—
756	C₂²×C₄	—	4	1	no	—
757	C₂²×C₄	—	4	1	no	—
758	C₂²×C₄	—	4	1	no	—
759	C₂²×C₄	—	4	1	no	—
760	C₂²×C₄	—	4	1	no	—
761	C₂²×C₄	—	4	1	no	—
762	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
763	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
764	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
765	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
766	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
767	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
768	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
769	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
770	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
771	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
772	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
773	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
774	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
775	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
776	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
777	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
778	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
779	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
780	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
781	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
782	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
783	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
784	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
785	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
786	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
787	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
788	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
789	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
790	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
791	C₂²×C₄	H(5,𝔽₂)	1	2	yes	—
792	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
793	C₂²×C₄	C₂⁵	1	1	yes	characteristic
794	C₂×C₈	—	2	1	no	—
795	C₂×C₈	—	2	1	no	—
796	C₂×C₈	—	2	1	no	—
797	C₂×C₈	—	2	1	no	—
798	C₂×C₈	—	2	1	no	—
799	C₂×C₈	—	2	1	no	—
800	C₂×C₈	—	2	1	no	—
801	C₂×C₈	—	2	1	no	—
802	C₂×C₈	—	2	1	no	—
803	C₂×C₈	—	2	1	no	—
804	C₂×C₈	—	2	1	no	—
805	C₂×C₈	—	2	1	no	—
806	C₂×C₈	—	2	1	no	—
807	C₂×C₈	—	2	1	no	—
808	C₂×C₈	—	2	1	no	—
809	C₂×C₈	—	2	1	no	—
810	C₂×C₈	—	2	1	no	—
811	C₂×C₈	—	2	1	no	—
812	C₂×C₈	—	2	1	no	—
813	C₂×C₈	—	2	1	no	—
814	C₂×C₈	—	2	1	no	—
815	C₂×C₈	—	2	1	no	—
816	C₂×C₈	—	2	1	no	—
817	C₂×C₈	—	2	1	no	—
818	C₂×C₈	—	2	1	no	—
819	C₂×C₈	—	2	1	no	—
820	C₂×C₈	—	2	1	no	—
821	C₂×C₈	—	2	1	no	—
822	C₂×C₈	—	2	1	no	—
823	C₂×C₈	—	2	1	no	—
824	C₂×C₈	—	2	1	no	—
825	C₂×C₈	—	2	1	no	—
826	C₂×C₈	—	2	1	no	—
827	C₂×C₈	—	2	1	no	—
828	C₂×C₈	—	2	1	no	—
829	C₂×C₈	—	2	1	no	—
830	C₂×C₈	—	2	1	no	—
831	C₂×C₈	—	2	1	no	—
832	C₂×C₈	—	2	1	no	—
833	C₂×C₈	—	2	1	no	—
834	C₂×C₈	—	2	1	no	—
835	C₂×C₈	—	2	1	no	—
836	C₂×C₈	—	2	1	no	—
837	C₂×C₈	—	2	1	no	—
838	C₂×C₈	—	2	1	no	—
839	C₂×C₈	—	2	1	no	—
840	C₂×C₈	—	2	1	no	—
841	C₂×C₈	—	2	1	no	—
842	C₄⋊C₄	—	2	2	no	—
843	C₄⋊C₄	—	2	2	no	—
844	C₄⋊C₄	—	2	2	no	—
845	C₄⋊C₄	—	2	2	no	—
846	C₄⋊C₄	—	2	2	no	—
847	C₄⋊C₄	—	2	2	no	—
848	C₄⋊C₄	—	2	2	no	—
849	C₄⋊C₄	—	2	2	no	—
850	C₄⋊C₄	—	2	2	no	—
851	C₄⋊C₄	—	2	2	no	—
852	C₄⋊C₄	—	2	2	no	—
853	C₄⋊C₄	—	2	2	no	—
854	C₄⋊C₄	—	2	2	no	—
855	C₄⋊C₄	—	2	2	no	—
856	C₄⋊C₄	—	2	2	no	—
857	C₄⋊C₄	—	2	2	no	—
858	C₄⋊C₄	—	2	2	no	—
859	C₄⋊C₄	—	2	2	no	—
860	C₄⋊C₄	—	2	2	no	—
861	C₄⋊C₄	—	2	2	no	—
862	C₄⋊C₄	—	2	2	no	—
863	C₄⋊C₄	—	2	2	no	—
864	C₄⋊C₄	—	2	2	no	—
865	C₄⋊C₄	—	2	2	no	—
866	C₄⋊C₄	—	2	2	no	—
867	C₄⋊C₄	—	4	1	no	—
868	C₄⋊C₄	—	4	1	no	—
869	C₄⋊C₄	—	4	1	no	—
870	C₄⋊C₄	—	4	1	no	—
871	C₄⋊C₄	—	4	1	no	—
872	C₄⋊C₄	—	4	1	no	—
873	C₄⋊C₄	—	4	1	no	—
874	C₄⋊C₄	—	4	1	no	—
875	C₄⋊C₄	—	4	1	no	—
876	C₄⋊C₄	—	4	1	no	—
877	C₄⋊C₄	—	4	1	no	—
878	C₄⋊C₄	—	4	1	no	—
879	C₄⋊C₄	—	4	1	no	—
880	C₄⋊C₄	—	4	1	no	—
881	C₄⋊C₄	—	4	1	no	—
882	C₄⋊C₄	—	4	1	no	—
883	C₄⋊C₄	—	4	1	no	—
884	C₄⋊C₄	—	4	1	no	—
885	C₄⋊C₄	—	4	1	no	—
886	C₄⋊C₄	—	4	1	no	—
887	C₄⋊C₄	—	4	1	no	—
888	C₄⋊C₄	—	4	1	no	—
889	C₄⋊C₄	—	4	1	no	—
890	C₄⋊C₄	—	4	1	no	—
891	C₄⋊C₄	—	4	1	no	—
892	C₄⋊C₄	—	4	1	no	—
893	C₄⋊C₄	—	4	1	no	—
894	C₄⋊C₄	—	4	1	no	—
895	C₄⋊C₄	—	4	1	no	—
896	C₄⋊C₄	—	4	1	no	—
897	C₄⋊C₄	#131	1	4	yes	—
898	C₂²⋊C₄	—	2	2	no	—
899	C₂²⋊C₄	—	2	2	no	—
900	C₂²⋊C₄	—	2	2	no	—
901	C₂²⋊C₄	—	2	2	no	—
902	C₂²⋊C₄	—	2	2	no	—
903	C₂²⋊C₄	—	2	2	no	—
904	C₂²⋊C₄	—	4	1	no	—
905	C₂²⋊C₄	—	4	1	no	—
906	C₄²	—	2	2	no	—
907	C₄²	—	2	2	no	—
908	C₄²	—	2	2	no	—
909	C₄²	—	2	2	no	—
910	C₄²	—	2	1	no	—
911	C₄²	—	2	1	no	—
912	C₄²	—	2	1	no	—
913	C₄²	—	2	1	no	—
914	C₄²	—	2	1	no	—
915	C₄²	—	2	1	no	—
916	C₄²	—	2	1	no	—
917	C₄²	—	2	1	no	—
918	C₄²	—	2	1	no	—
919	C₄²	—	2	1	no	—
920	C₄²	—	2	1	no	—
921	C₄²	—	2	1	no	—
922	C₄²	—	2	1	no	—
923	C₄²	—	2	1	no	—
924	C₄²	—	2	1	no	—
925	C₄²	—	2	1	no	—
926	C₄²	—	2	1	no	—
927	C₄²	—	2	1	no	—
928	C₄²	—	2	1	no	—
929	C₄²	—	2	1	no	—
930	C₄²	—	2	1	no	—
931	C₄²	—	2	1	no	—
932	C₄²	—	2	1	no	—
933	C₄²	—	2	1	no	—
934	C₄²	—	2	1	no	—
935	C₄²	—	2	1	no	—
936	C₄²	—	4	1	no	—
937	C₄²	—	4	1	no	—
938	C₄²	—	4	1	no	—
939	C₄²	—	4	1	no	—
940	C₄²	—	4	1	no	—
941	C₄²	—	4	1	no	—
942	C₄²	—	4	1	no	—
943	C₄²	—	4	1	no	—
944	C₄²	—	4	1	no	—
945	C₄²	—	4	1	no	—
946	C₄²	2₋¹⁺⁴	1	2	yes	—
947	C₄²	2₋¹⁺⁴	1	2	yes	—
948	C₂³	—	2	1	no	—
949	C₂³	—	2	1	no	—
950	C₂³	—	2	1	no	—
951	C₂³	—	2	1	no	—
952	C₂³	—	2	1	no	—
953	C₂³	—	2	1	no	—
954	C₂³	#520	1	2	yes	—
955	C₂³	C₂⁴×C₄	1	1	yes	characteristic
956	C₂×C₄	—	2	1	no	—
957	C₂×C₄	—	2	1	no	—
958	C₂×C₄	—	2	1	no	—
959	C₂×C₄	—	2	1	no	—
960	C₂×C₄	—	2	1	no	—
961	C₂×C₄	—	2	1	no	—
962	C₂×C₄	—	2	1	no	—
963	C₂×C₄	—	2	1	no	—
964	C₂×C₄	—	2	1	no	—
965	C₂×C₄	—	2	1	no	—
966	C₂×C₄	—	2	1	no	—
967	C₂×C₄	—	2	1	no	—
968	C₂×C₄	—	2	1	no	—
969	C₂×C₄	—	2	1	no	—
970	C₂×C₄	—	2	2	no	—
971	C₂×C₄	—	2	2	no	—
972	C₂×C₄	—	2	2	no	—
973	C₂×C₄	—	2	2	no	—
974	C₂×C₄	—	2	1	no	—
975	C₂×C₄	—	2	1	no	—
976	C₂×C₄	—	2	1	no	—
977	C₂×C₄	—	2	1	no	—
978	C₂×C₄	—	2	1	no	—
979	C₂×C₄	—	2	1	no	—
980	C₂×C₄	—	2	1	no	—
981	C₂×C₄	—	2	1	no	—
982	C₂×C₄	—	2	1	no	—
983	C₂×C₄	—	2	1	no	—
984	C₂×C₄	—	2	1	no	—
985	C₂×C₄	—	2	1	no	—
986	C₂×C₄	—	2	1	no	—
987	C₂×C₄	—	2	1	no	—
988	C₂×C₄	—	2	1	no	—
989	C₂×C₄	—	2	1	no	—
990	C₂×C₄	—	2	1	no	—
991	C₂×C₄	—	2	1	no	—
992	C₂×C₄	—	2	1	no	—
993	C₂×C₄	—	2	1	no	—
994	C₂×C₄	—	2	1	no	—
995	C₂×C₄	—	2	1	no	—
996	C₂×C₄	—	2	1	no	—
997	C₂×C₄	—	2	1	no	—
998	C₂×C₄	—	2	1	no	—
999	C₂×C₄	—	2	1	no	—
1000	C₂×C₄	—	2	1	no	—
1001	C₂×C₄	—	2	1	no	—
1002	C₂×C₄	—	2	1	no	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	1	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	1	no	—
1012	C₂×C₄	—	2	1	no	—
1013	C₂×C₄	—	2	1	no	—
1014	C₂×C₄	—	2	1	no	—
1015	C₂×C₄	—	2	1	no	—
1016	C₂×C₄	—	2	1	no	—
1017	C₂×C₄	—	2	1	no	—
1018	C₂×C₄	—	2	1	no	—
1019	C₂×C₄	—	2	1	no	—
1020	C₂×C₄	—	2	1	no	—
1021	C₂×C₄	—	2	1	no	—
1022	C₂×C₄	—	2	1	no	—
1023	C₂×C₄	—	2	1	no	—
1024	C₂×C₄	—	2	1	no	—
1025	C₂×C₄	—	2	1	no	—
1026	C₂×C₄	—	2	1	no	—
1027	C₂×C₄	—	2	1	no	—
1028	C₂×C₄	—	2	1	no	—
1029	C₂×C₄	—	2	1	no	—
1030	C₂×C₄	—	2	1	no	—
1031	C₂×C₄	—	2	1	no	—
1032	C₂×C₄	—	2	1	no	—
1033	C₂×C₄	—	2	1	no	—
1034	C₂×C₄	—	2	1	no	—
1035	C₂×C₄	—	2	1	no	—
1036	C₂×C₄	—	2	1	no	—
1037	C₂×C₄	—	2	1	no	—
1038	C₂×C₄	—	2	1	no	—
1039	C₂×C₄	—	2	1	no	—
1040	C₂×C₄	—	4	4	no	—
1041	C₂×C₄	—	8	2	no	—
1042	C₂×C₄	—	8	2	no	—
1043	C₂×C₄	—	8	2	no	—
1044	C₂×C₄	—	8	2	no	—
1045	C₂×C₄	—	8	2	no	—
1046	C₂×C₄	#519	1	2	yes	—
1047	C₂×C₄	#519	1	2	yes	—
1048	C₂×C₄	#520	1	2	yes	—
1049	C₂×C₄	C₂×#131	1	2	yes	—
1050	C₂×C₄	C₂×#131	1	2	yes	—
1051	C₂×C₄	C₂×#131	1	2	yes	—
1052	C₂×C₄	#568	1	2	yes	—
1053	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1054	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1055	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1056	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1057	C₂×C₄	#585	1	1	yes	characteristic
1058	C₂×C₄	#585	1	1	yes	characteristic
1059	C₈	—	4	1	no	—
1060	C₈	—	4	1	no	—
1061	C₈	—	4	1	no	—
1062	C₈	—	4	1	no	—
1063	C₈	—	4	1	no	—
1064	C₈	—	4	1	no	—
1065	C₈	—	4	1	no	—
1066	C₈	—	4	1	no	—
1067	C₈	—	4	1	no	—
1068	C₈	—	4	1	no	—
1069	C₈	—	4	1	no	—
1070	C₈	—	4	1	no	—
1071	C₈	—	4	1	no	—
1072	C₈	—	4	1	no	—
1073	C₈	—	4	1	no	—
1074	C₈	—	4	1	no	—
1075	C₂²	—	2	2	no	—
1076	C₂²	—	2	2	no	—
1077	C₂²	—	2	2	no	—
1078	C₂²	—	4	1	no	—
1079	C₂²	—	4	1	no	—
1080	C₂²	—	4	1	no	—
1081	C₂²	—	4	1	no	—
1082	C₂²	C₂×#519	1	1	yes	characteristic
1083	C₂²	C₂×#520	1	1	yes	characteristic
1084	C₂²	#3428	1	1	yes	characteristic
1085	C₂²	C₂²×#131	1	1	yes	characteristic
1086	C₂²	C₂×#568	1	1	yes	characteristic
1087	C₂²	#3573	1	1	yes	characteristic
1088	C₂²	#3573	1	1	yes	characteristic
1089	C₄	—	2	2	no	—
1090	C₄	—	2	2	no	—
1091	C₄	—	2	2	no	—
1092	C₄	—	2	2	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	2	no	—
1096	C₄	—	4	1	no	—
1097	C₄	—	4	1	no	—
1098	C₄	—	4	1	no	—
1099	C₄	—	4	1	no	—
1100	C₄	—	4	1	no	—
1101	C₄	—	4	1	no	—
1102	C₄	—	4	1	no	—
1103	C₄	—	4	1	no	—
1104	C₄	—	4	1	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	1	no	—
1107	C₄	—	4	1	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	1	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	1	no	—
1113	C₄	—	4	1	no	—
1114	C₄	—	4	1	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	1	no	—
1118	C₄	#3559	1	1	yes	characteristic
1119	C₄	#3559	1	1	yes	characteristic
1120	C₄	#3563	1	1	yes	characteristic
1121	C₄	#3563	1	1	yes	characteristic
1122	C₂	—	4	2	no	—
1123	C₂	#34378	1	1	yes	characteristic
1124	C₂	#60250	1	1	yes	characteristic
1125	C₂	#60252	1	1	yes	characteristic
1126	C₂	#60274	1	1	yes	characteristic
1127	C₂	#60275	1	1	yes	characteristic
1128	C₂	#60298	1	1	yes	characteristic
1129	C₂	#60299	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, cosocle	C₂²×C₄	C₂⁵
commutator, socle	C₂³	C₂⁴×C₄
prime radical	C₂⁴	C₂³×C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #23371	C₂	semidirect
3. #23370	C₂	semidirect
4. #23370	C₂	semidirect
5. #23369	C₂	semidirect
6. #23262	C₂	semidirect
7. #23260	C₂	semidirect
8. #23260	C₂	semidirect
9. #23259	C₂	semidirect
18. #22383	C₂	semidirect
19. #22379	C₂	semidirect
20. #22377	C₂	semidirect
21. #22373	C₂	semidirect
22. #22306	C₂	semidirect
23. #22306	C₂	semidirect
24. #22302	C₂	semidirect
25. #22300	C₂	semidirect

Maximal subgroups

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

subgroup	index
#34948	2
#23371	2
#23370	2
#23369	2
#23262	2
#23260	2
#23259	2
#22627	2
#22625	2
#22602	2
#22600	2
#22383	2
#22379	2
#22377	2
#22373	2
#22306	2
#22302	2
#22300	2
#21958	2
#21957	2
#21915	2
#21913	2
#20813	2
#20784	2