Subgroups — #7625873

Order 512.

8038 conjugacy classes of subgroups.

The subgroup lattice has 1153 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#551	C₂	1	1	yes	maximal, characteristic
2	#34315	C₂	1	8	yes	maximal, complemented
3	#34303	C₂	1	8	yes	maximal, complemented
4	#34296	C₂	1	8	yes	maximal, complemented
5	#34247	C₂	1	2	yes	maximal, complemented
6	#34247	C₂	1	2	yes	maximal, complemented
7	#34245	C₂	1	2	yes	maximal, complemented
8	#34240	C₂	1	2	yes	maximal, complemented
9	#34238	C₂	1	2	yes	maximal, complemented
10	#34238	C₂	1	2	yes	maximal, complemented
11	#34212	C₂	1	2	yes	maximal, complemented
12	#34199	C₂	1	2	yes	maximal, complemented
13	#34198	C₂	1	2	yes	maximal
14	#34185	C₂	1	1	yes	maximal, characteristic, complemented
15	#34177	C₂	1	1	yes	maximal, characteristic, complemented
16	#34176	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×#551	C₂	1	8	yes	maximal, complemented
18	#34126	C₂	1	2	yes	maximal, complemented
19	#34109	C₂	1	2	yes	maximal, complemented
20	C₂×#2342	C₂	1	2	yes	maximal, complemented
21	C₄×#518	C₂	1	1	yes	maximal, characteristic, complemented
22	#33996	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#2273	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#551	C₄	1	32	yes	complemented
25	C₂×#551	C₂²	1	4	yes	—
26	C₂×#551	C₂²	1	4	yes	—
27	C₂×#551	C₂²	1	4	yes	—
28	C₂×#551	C₂²	1	4	yes	—
29	C₂²×#126	C₂²	1	1	yes	characteristic
30	C₂²×#126	C₂²	1	1	yes	characteristic
31	C₂²×#124	C₂²	1	1	yes	characteristic
32	C₂²×#123	C₂²	1	1	yes	characteristic
33	C₂²×#123	C₂²	1	1	yes	characteristic
34	C₂²×#123	C₂²	1	1	yes	characteristic
35	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂²×#120	C₂²	1	1	yes	characteristic
38	C₂×#518	C₂²	1	2	yes	—
39	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
40	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
41	C₂²×#117	C₂²	1	2	yes	—
42	C₂²×#117	C₂²	1	1	yes	characteristic
43	C₂²×#117	C₂²	1	1	yes	characteristic
44	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
45	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
46	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
47	#2374	C₂²	1	8	yes	complemented
48	#2374	C₂²	1	8	yes	complemented
49	#2373	C₂²	1	8	yes	complemented
50	#2373	C₂²	1	8	yes	complemented
51	#2373	C₂²	1	8	yes	complemented
52	#2373	C₂²	1	8	yes	complemented
53	#2372	C₂²	1	8	yes	complemented
54	#2368	C₂²	1	8	yes	complemented
55	#2368	C₂²	1	8	yes	complemented
56	#2367	C₂²	1	8	yes	complemented
57	#2362	C₂²	1	8	yes	complemented
58	#2360	C₂²	1	8	yes	complemented
59	#2359	C₂²	1	8	yes	complemented
60	#2359	C₂²	1	8	yes	complemented
61	#2359	C₂²	1	8	yes	complemented
62	#2359	C₂²	1	8	yes	complemented
63	#2358	C₂²	1	8	yes	—
64	#2358	C₂²	1	8	yes	—
65	#2357	C₂²	1	4	yes	complemented
66	#2353	C₂²	1	8	yes	complemented
67	#2353	C₂²	1	4	yes	complemented
68	#2353	C₂²	1	4	yes	complemented
69	#2352	C₂²	1	8	yes	complemented
70	#2349	C₂²	1	4	yes	complemented
71	#2347	C₂²	1	4	yes	complemented
72	#2346	C₂²	1	4	yes	complemented
73	#2345	C₂²	1	4	yes	complemented
74	#2345	C₂²	1	4	yes	complemented
75	#2345	C₂²	1	4	yes	complemented
76	#2344	C₂²	1	4	yes	complemented
77	#2344	C₂²	1	4	yes	complemented
78	#2343	C₂²	1	8	yes	complemented
79	#2343	C₂²	1	4	yes	complemented
80	#2343	C₂²	1	4	yes	complemented
81	#2343	C₂²	1	8	yes	complemented
82	#2342	C₂²	1	4	yes	—
83	#2342	C₂²	1	4	yes	—
84	#2342	C₂²	1	4	yes	—
85	#2342	C₂²	1	4	yes	—
86	#2342	C₂²	1	4	yes	—
87	#2342	C₂²	1	4	yes	—
88	#2342	C₂²	1	4	yes	complemented
89	#2342	C₂²	1	8	yes	complemented
90	#2342	C₂²	1	4	yes	complemented
91	#2342	C₂²	1	4	yes	complemented
92	#2342	C₂²	1	4	yes	complemented
93	#2342	C₂²	1	8	yes	complemented
94	#2342	C₂²	1	4	yes	complemented
95	#2342	C₂²	1	4	yes	complemented
96	Q₈×C₂²⋊C₄	C₂²	1	4	yes	complemented
97	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
98	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
99	#2337	C₂²	1	8	yes	complemented
100	#2335	C₂²	1	8	yes	complemented
101	#2335	C₂²	1	8	yes	complemented
102	#2334	C₂²	1	8	yes	complemented
103	#2334	C₂²	1	8	yes	complemented
104	#2332	C₂²	1	8	yes	complemented
105	#2329	C₂²	1	8	yes	complemented
106	#2322	C₂²	1	8	yes	complemented
107	#2321	C₂²	1	8	yes	—
108	#2315	C₂²	1	2	yes	—
109	#2315	C₂²	1	2	yes	—
110	#2313	C₂²	1	2	yes	complemented
111	#2313	C₂²	1	2	yes	complemented
112	#2313	C₂²	1	2	yes	complemented
113	#2312	C₂²	1	2	yes	—
114	#2312	C₂²	1	2	yes	—
115	#2312	C₂²	1	2	yes	complemented
116	#2308	C₂²	1	2	yes	—
117	C₄×#126	C₂²	1	8	yes	complemented
118	C₄×#126	C₂²	1	8	yes	complemented
119	C₄×#124	C₂²	1	8	yes	complemented
120	C₄×C₂²⋊Q₈	C₂²	1	8	yes	complemented
121	C₄×C₂²⋊Q₈	C₂²	1	8	yes	complemented
122	C₄×#123	C₂²	1	8	yes	complemented
123	C₄×#123	C₂²	1	8	yes	complemented
124	C₄×#123	C₂²	1	8	yes	complemented
125	C₄×#120	C₂²	1	8	yes	—
126	#2298	C₂²	1	4	yes	complemented
127	#2298	C₂²	1	4	yes	complemented
128	#2296	C₂²	1	4	yes	complemented
129	#2293	C₂²	1	4	yes	complemented
130	#2290	C₂²	1	4	yes	complemented
131	#2290	C₂²	1	4	yes	complemented
132	C₂×#388	C₂²	1	4	yes	complemented
133	C₂×#388	C₂²	1	4	yes	complemented
134	C₂×#385	C₂²	1	4	yes	complemented
135	#2283	C₂²	1	2	yes	complemented
136	#2283	C₂²	1	2	yes	complemented
137	#2283	C₂²	1	2	yes	complemented
138	#2280	C₂²	1	2	yes	—
139	#2280	C₂²	1	2	yes	—
140	#2280	C₂²	1	2	yes	complemented
141	C₂×#381	C₂²	1	2	yes	—
142	C₂×#380	C₂²	1	2	yes	—
143	C₂×#379	C₂²	1	2	yes	—
144	#2275	C₂²	1	8	yes	complemented
145	#2274	C₂²	1	8	yes	complemented
146	#2274	C₂²	1	2	yes	complemented
147	#2274	C₂²	1	2	yes	complemented
148	#2274	C₂²	1	2	yes	complemented
149	#2273	C₂²	1	1	yes	characteristic
150	#2273	C₂²	1	1	yes	characteristic
151	#2273	C₂²	1	1	yes	characteristic
152	#2273	C₂²	1	2	yes	—
153	#2273	C₂²	1	2	yes	—
154	#2273	C₂²	1	2	yes	—
155	#2273	C₂²	1	2	yes	—
156	#2273	C₂²	1	1	yes	characteristic
157	#2273	C₂²	1	8	yes	complemented
158	#2273	C₂²	1	2	yes	complemented
159	C₄²×D₄	C₂²	1	8	yes	complemented
160	C₄²×D₄	C₂²	1	4	yes	complemented
161	C₄×#117	C₂²	1	4	yes	complemented
162	C₄×#117	C₂²	1	2	yes	complemented
163	C₄×#117	C₂²	1	2	yes	complemented
164	C₄×#117	C₂²	1	2	yes	complemented
165	C₄×#117	C₂²	1	8	yes	complemented
166	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
167	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
168	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
169	C₂×C₄×C₂²⋊C₄	C₂²	1	4	yes	complemented
170	C₂×C₄×C₂²⋊C₄	C₂²	1	8	yes	complemented
171	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	complemented
172	C₂⁶	C₂³	1	1	yes	characteristic
173	C₂³×Q₈	C₂³	1	1	yes	characteristic
174	C₂³×D₄	C₂³	1	1	yes	characteristic
175	C₂³×D₄	C₂³	1	1	yes	characteristic
176	C₂³×D₄	C₂³	1	1	yes	characteristic
177	C₂⁴×C₄	C₂³	1	1	yes	characteristic
178	C₂⁴×C₄	C₂³	1	4	yes	—
179	C₂⁴×C₄	C₂³	1	1	yes	characteristic
180	C₂⁴×C₄	C₂³	1	1	yes	characteristic
181	C₂⁴×C₄	C₂³	1	1	yes	characteristic
182	C₂⁴×C₄	C₂³	1	1	yes	characteristic
183	#551	C₂×C₄	1	64	yes	complemented
184	#551	C₂×C₄	1	64	yes	complemented
185	#551	C₂×C₄	1	64	yes	complemented
186	#551	C₂×C₄	1	64	yes	complemented
187	C₂×#126	C₂×C₄	1	16	yes	complemented
188	C₂×#126	C₂×C₄	1	16	yes	complemented
189	C₂×#126	C₂³	1	4	yes	—
190	C₂×#126	C₂³	1	4	yes	—
191	C₂×#126	C₂³	1	4	yes	—
192	C₂×#126	C₂³	1	4	yes	—
193	C₂×#124	C₂×C₄	1	16	yes	complemented
194	C₂×#124	C₂³	1	4	yes	—
195	C₂×#124	C₂³	1	4	yes	—
196	C₂×#123	C₂×C₄	1	16	yes	complemented
197	C₂×#123	C₂×C₄	1	16	yes	complemented
198	C₂×#123	C₂×C₄	1	16	yes	complemented
199	C₂×#123	C₂³	1	4	yes	—
200	C₂×#123	C₂³	1	4	yes	—
201	C₂×#123	C₂³	1	4	yes	—
202	C₂×#123	C₂³	1	4	yes	—
203	C₂×#123	C₂³	1	4	yes	—
204	C₂×#123	C₂³	1	4	yes	—
205	C₂×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
206	C₂×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
207	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
208	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
209	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
210	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
211	C₂×#120	C₂×C₄	1	16	yes	—
212	C₂×#120	C₂³	1	4	yes	—
213	C₂×#120	C₂³	1	4	yes	—
214	#518	—	2	16	no	—
215	C₂×C₄×Q₈	C₂³	1	8	yes	complemented
216	C₂×C₄×D₄	C₂×C₄	1	16	yes	complemented
217	C₂×C₄×D₄	C₂×C₄	1	16	yes	complemented
218	C₂×C₄×D₄	C₂³	1	8	yes	—
219	C₂×C₄×D₄	C₂³	1	8	yes	—
220	C₂×C₄×D₄	C₂³	1	8	yes	—
221	C₂×C₄×D₄	C₂³	1	8	yes	—
222	C₂×C₄×D₄	C₂³	1	2	yes	—
223	C₂×C₄×D₄	C₂³	1	2	yes	—
224	C₂×C₄×D₄	C₂³	1	4	yes	—
225	C₂×C₄×D₄	C₂³	1	4	yes	—
226	C₂×C₄×D₄	C₂³	1	2	yes	—
227	C₂×C₄×D₄	C₂³	1	2	yes	—
228	C₂×#117	—	2	16	no	—
229	C₂×#117	C₂×C₄	1	16	yes	complemented
230	C₂×#117	C₂×C₄	1	16	yes	complemented
231	C₂×#117	C₂³	1	4	yes	—
232	C₂×#117	C₂³	1	4	yes	—
233	C₂×#117	C₂³	1	4	yes	—
234	C₂×#117	C₂³	1	4	yes	—
235	C₂×#117	C₂³	1	4	yes	—
236	C₂×#117	C₂³	1	4	yes	—
237	C₂×#117	C₂³	1	4	yes	—
238	C₂×#117	C₂³	1	2	yes	—
239	C₂×#117	C₂³	1	2	yes	—
240	C₂×#117	C₂³	1	4	yes	—
241	C₂×#117	C₂³	1	4	yes	—
242	C₂×#117	C₂³	1	2	yes	—
243	C₂×#117	C₂³	1	2	yes	—
244	C₂×#117	C₂³	1	4	yes	complemented
245	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
246	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
247	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂²×C₂²⋊C₄	—	2	16	no	—
256	C₂²×C₂²⋊C₄	C₂×C₄	1	16	yes	complemented
257	C₂²×C₂²⋊C₄	C₂×C₄	1	16	yes	complemented
258	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
259	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
260	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
261	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
262	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
263	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
264	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
265	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
266	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
267	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
268	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
269	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
280	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
281	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
282	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
283	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
284	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
285	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂²×C₄²	C₂³	1	4	yes	—
291	C₂²×C₄²	C₂³	1	4	yes	—
292	C₂²×C₄²	C₂³	1	4	yes	—
293	C₂²×C₄²	C₂³	1	4	yes	—
294	C₂²×C₄²	C₂³	1	1	yes	characteristic
295	C₂²×C₄²	C₂³	1	1	yes	characteristic
296	C₂²×C₄²	C₂³	1	1	yes	characteristic
297	C₂²×C₄²	C₂³	1	4	yes	complemented
298	#391	C₂³	1	8	yes	complemented
299	#391	C₂³	1	8	yes	complemented
300	#391	C₂³	1	8	yes	complemented
301	#390	C₂³	1	8	yes	—
302	#390	C₂³	1	8	yes	—
303	#389	C₂³	1	8	yes	complemented
304	#389	C₂³	1	8	yes	complemented
305	#389	C₂³	1	8	yes	complemented
306	#389	C₂³	1	8	yes	complemented
307	#389	C₂³	1	8	yes	complemented
308	#388	C₂³	1	8	yes	—
309	#388	C₂³	1	8	yes	—
310	#388	C₂³	1	8	yes	—
311	#388	C₂³	1	8	yes	—
312	#388	C₂³	1	8	yes	—
313	#388	C₂³	1	8	yes	—
314	#388	C₂³	1	8	yes	—
315	#388	C₂³	1	8	yes	—
316	#388	C₂³	1	8	yes	—
317	#388	C₂³	1	8	yes	—
318	#388	C₂³	1	8	yes	—
319	#388	C₂³	1	8	yes	—
320	#388	C₂³	1	8	yes	—
321	#388	C₂³	1	8	yes	—
322	#388	C₂³	1	8	yes	—
323	#388	C₂³	1	8	yes	—
324	#388	C₂³	1	8	yes	complemented
325	#388	C₂³	1	8	yes	complemented
326	#388	C₂³	1	8	yes	complemented
327	#388	C₂³	1	8	yes	complemented
328	#388	C₂³	1	8	yes	complemented
329	#388	C₂³	1	8	yes	complemented
330	#387	C₂³	1	8	yes	complemented
331	#387	C₂³	1	8	yes	complemented
332	#387	C₂³	1	8	yes	complemented
333	#387	C₂³	1	8	yes	complemented
334	#387	C₂³	1	8	yes	complemented
335	#387	C₂³	1	8	yes	complemented
336	#387	C₂³	1	8	yes	complemented
337	#387	C₂³	1	8	yes	complemented
338	#387	C₂³	1	8	yes	complemented
339	#387	C₂³	1	8	yes	complemented
340	#387	C₂³	1	8	yes	complemented
341	#387	C₂³	1	8	yes	complemented
342	#387	C₂³	1	8	yes	complemented
343	#387	C₂³	1	8	yes	complemented
344	#387	C₂³	1	8	yes	complemented
345	#387	C₂³	1	8	yes	complemented
346	#386	C₂³	1	8	yes	—
347	#386	C₂³	1	8	yes	—
348	#386	C₂³	1	8	yes	—
349	#386	C₂³	1	8	yes	—
350	#386	C₂³	1	8	yes	—
351	#386	C₂³	1	8	yes	—
352	#385	C₂³	1	8	yes	—
353	#385	C₂³	1	8	yes	—
354	#385	C₂³	1	8	yes	—
355	#385	C₂³	1	8	yes	—
356	#385	C₂³	1	8	yes	—
357	#385	C₂³	1	8	yes	—
358	#385	C₂³	1	8	yes	—
359	#385	C₂³	1	8	yes	—
360	#385	C₂³	1	8	yes	—
361	#385	C₂³	1	8	yes	—
362	#385	C₂³	1	8	yes	complemented
363	#385	C₂³	1	8	yes	complemented
364	#383	C₂³	1	4	yes	complemented
365	#383	C₂³	1	4	yes	complemented
366	#383	C₂³	1	4	yes	complemented
367	#382	C₂³	1	4	yes	complemented
368	#382	C₂³	1	4	yes	complemented
369	#382	C₂³	1	4	yes	complemented
370	#381	C₂³	1	4	yes	—
371	#381	C₂³	1	4	yes	—
372	#381	C₂³	1	4	yes	—
373	#381	C₂³	1	4	yes	—
374	#381	C₂³	1	4	yes	—
375	#381	C₂³	1	4	yes	—
376	#381	C₂³	1	4	yes	—
377	#381	C₂³	1	4	yes	complemented
378	#380	C₂³	1	4	yes	—
379	#380	C₂³	1	4	yes	—
380	#380	C₂³	1	4	yes	—
381	#380	C₂³	1	4	yes	—
382	#380	C₂³	1	4	yes	—
383	#380	C₂³	1	4	yes	—
384	#380	C₂³	1	4	yes	—
385	#380	C₂³	1	4	yes	—
386	#380	C₂³	1	4	yes	—
387	#380	C₂³	1	4	yes	—
388	#380	C₂³	1	4	yes	complemented
389	#379	C₂³	1	4	yes	—
390	#379	C₂³	1	4	yes	—
391	#379	C₂³	1	4	yes	—
392	#379	C₂³	1	4	yes	—
393	#379	C₂³	1	4	yes	—
394	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
395	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
396	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
397	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
398	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
399	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
400	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
401	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
402	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
403	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
404	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
405	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
406	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
407	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
408	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
409	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
410	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
411	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
412	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
413	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
414	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
415	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
416	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
417	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
418	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
419	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
420	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
421	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
422	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
423	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
424	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
425	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
426	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
427	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
428	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
429	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
430	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
431	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
432	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
433	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
434	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
435	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
436	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
437	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
438	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
439	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
440	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
441	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
442	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
443	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
444	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
445	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
446	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
447	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
448	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
449	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
450	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
451	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
452	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
453	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
454	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
455	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
456	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
457	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
458	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
459	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
460	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
461	#376	C₂³	1	4	yes	complemented
462	#376	C₂³	1	4	yes	complemented
463	#376	C₂³	1	4	yes	complemented
464	#376	C₂³	1	4	yes	complemented
465	#376	C₂³	1	4	yes	complemented
466	#376	C₂³	1	4	yes	complemented
467	C₂×#95	C₂³	1	4	yes	—
468	C₂×#95	C₂³	1	4	yes	—
469	C₂×#95	C₂³	1	4	yes	—
470	C₂×#95	C₂³	1	4	yes	—
471	C₂×#95	C₂³	1	4	yes	—
472	C₂×#95	C₂³	1	4	yes	—
473	C₂×#95	C₂³	1	4	yes	complemented
474	C₄³	C₂³	1	4	yes	complemented
475	C₄³	C₂³	1	4	yes	complemented
476	C₄³	C₂³	1	4	yes	complemented
477	C₂⁵	—	2	8	no	—
478	C₂⁵	—	4	4	no	—
479	C₂⁵	—	8	2	no	—
480	C₂⁵	C₂²×C₄	1	8	yes	—
481	C₂⁵	C₂⁴	1	2	yes	—
482	C₂⁵	C₂⁴	1	1	yes	characteristic
483	C₂⁵	C₂⁴	1	2	yes	—
484	C₂⁵	C₂⁴	1	1	yes	characteristic
485	C₂⁵	C₂⁴	1	1	yes	characteristic
486	C₂⁵	C₂⁴	1	1	yes	characteristic
487	C₂²×Q₈	—	8	2	no	—
488	C₂²×Q₈	C₂²×C₄	1	8	yes	complemented
489	C₂²×Q₈	C₂⁴	1	4	yes	—
490	C₂²×D₄	—	2	8	no	—
491	C₂²×D₄	—	4	4	no	—
492	C₂²×D₄	—	8	2	no	—
493	C₂²×D₄	C₂²×C₄	1	8	yes	—
494	C₂²×D₄	C₂²×C₄	1	8	yes	—
495	C₂²×D₄	C₂²×C₄	1	8	yes	—
496	C₂²×D₄	C₂⁴	1	4	yes	—
497	C₂²×D₄	C₂⁴	1	2	yes	—
498	C₂²×D₄	C₂⁴	1	4	yes	—
499	C₂²×D₄	C₂⁴	1	2	yes	—
500	C₂³×C₄	—	2	8	no	—
501	C₂³×C₄	—	2	16	no	—
502	C₂³×C₄	—	4	4	no	—
503	C₂³×C₄	—	4	8	no	—
504	C₂³×C₄	—	8	4	no	—
505	C₂³×C₄	—	8	2	no	—
506	C₂³×C₄	—	8	2	no	—
507	C₂³×C₄	—	8	2	no	—
508	C₂³×C₄	C₂²×C₄	1	8	yes	—
509	C₂³×C₄	C₂²×C₄	1	8	yes	—
510	C₂³×C₄	C₂²×C₄	1	8	yes	—
511	C₂³×C₄	C₂²×C₄	1	8	yes	—
512	C₂³×C₄	C₂²×C₄	1	8	yes	complemented
513	C₂³×C₄	C₂⁴	1	8	yes	—
514	C₂³×C₄	C₂⁴	1	1	yes	characteristic
515	C₂³×C₄	C₂⁴	1	1	yes	characteristic
516	C₂³×C₄	C₂⁴	1	1	yes	characteristic
517	C₂³×C₄	C₂⁴	1	2	yes	—
518	C₂³×C₄	C₂⁴	1	2	yes	—
519	C₂³×C₄	C₂⁴	1	2	yes	—
520	C₂³×C₄	C₂⁴	1	4	yes	—
521	C₂³×C₄	C₂⁴	1	4	yes	—
522	C₂³×C₄	C₂⁴	1	4	yes	—
523	C₂³×C₄	C₂⁴	1	8	yes	—
524	C₂³×C₄	C₂⁴	1	8	yes	—
525	C₂³×C₄	C₂⁴	1	1	yes	characteristic
526	C₂³×C₄	C₂⁴	1	1	yes	characteristic
527	C₂³×C₄	C₂⁴	1	1	yes	characteristic
528	C₂³×C₄	C₂⁴	1	1	yes	characteristic
529	C₂³×C₄	C₂⁴	1	1	yes	characteristic
530	C₂³×C₄	C₂⁴	1	2	yes	—
531	C₂³×C₄	C₂⁴	1	1	yes	characteristic
532	C₂³×C₄	C₂⁴	1	1	yes	characteristic
533	C₂³×C₄	C₂⁴	1	1	yes	characteristic
534	C₂³×C₄	C₂⁴	1	2	yes	—
535	C₂³×C₄	C₂⁴	1	2	yes	—
536	C₂³×C₄	C₂⁴	1	2	yes	—
537	C₂³×C₄	C₂⁴	1	2	yes	—
538	C₂³×C₄	C₂⁴	1	2	yes	—
539	C₂³×C₄	C₂⁴	1	2	yes	—
540	C₂³×C₄	C₂⁴	1	4	yes	—
541	#126	C₂²×C₄	1	32	yes	complemented
542	#126	C₂²×C₄	1	32	yes	complemented
543	#126	C₂²×C₄	1	32	yes	complemented
544	#126	C₂²×C₄	1	32	yes	complemented
545	#124	C₂²×C₄	1	32	yes	complemented
546	#124	C₂²×C₄	1	32	yes	complemented
547	#123	C₂²×C₄	1	32	yes	—
548	#123	C₂²×C₄	1	32	yes	complemented
549	#123	C₂²×C₄	1	32	yes	complemented
550	#123	C₂²×C₄	1	32	yes	complemented
551	#123	C₂²×C₄	1	32	yes	complemented
552	#123	C₂²×C₄	1	32	yes	complemented
553	C₂²⋊Q₈	C₂²×C₄	1	32	yes	—
554	C₂²⋊Q₈	C₂²×C₄	1	32	yes	complemented
555	C₂²⋊Q₈	C₂²×C₄	1	32	yes	complemented
556	C₂²⋊Q₈	C₂²×C₄	1	32	yes	complemented
557	#120	C₂²×C₄	1	32	yes	—
558	#120	C₂²×C₄	1	32	yes	—
559	C₄×Q₈	—	8	8	no	—
560	C₄×D₄	—	2	32	no	—
561	C₄×D₄	—	2	32	no	—
562	C₄×D₄	—	4	16	no	—
563	C₄×D₄	—	8	8	no	—
564	C₄×D₄	C₂²×C₄	1	16	yes	—
565	C₄×D₄	C₂²×C₄	1	16	yes	—
566	C₄×D₄	C₂²×C₄	1	32	yes	complemented
567	C₄×D₄	C₂²×C₄	1	32	yes	complemented
568	C₄×D₄	C₂²×C₄	1	16	yes	complemented
569	C₄×D₄	C₂²×C₄	1	16	yes	complemented
570	#117	—	2	16	no	—
571	#117	—	2	16	no	—
572	#117	—	2	16	no	—
573	#117	—	2	16	no	—
574	#117	—	2	16	no	—
575	#117	—	4	8	no	—
576	#117	—	8	4	no	—
577	#117	—	8	4	no	—
578	#117	C₂²×C₄	1	16	yes	—
579	#117	C₂²×C₄	1	16	yes	—
580	#117	C₂²×C₄	1	16	yes	complemented
581	#117	C₂²×C₄	1	16	yes	complemented
582	#117	C₂²×C₄	1	32	yes	complemented
583	#117	C₂²×C₄	1	32	yes	complemented
584	C₂×C₄⋊C₄	—	2	16	no	—
585	C₂×C₄⋊C₄	—	8	4	no	—
586	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
587	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
588	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
589	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
590	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
591	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
592	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
593	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
594	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
595	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
596	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
597	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
598	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
599	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
600	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
601	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
602	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
603	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
604	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
605	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
606	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
607	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
608	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
609	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
610	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
611	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
612	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
613	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
614	C₂×C₂²⋊C₄	—	2	8	no	—
615	C₂×C₂²⋊C₄	—	2	8	no	—
616	C₂×C₂²⋊C₄	—	2	8	no	—
617	C₂×C₂²⋊C₄	—	2	16	no	—
618	C₂×C₂²⋊C₄	—	2	16	no	—
619	C₂×C₂²⋊C₄	—	2	16	no	—
620	C₂×C₂²⋊C₄	—	2	16	no	—
621	C₂×C₂²⋊C₄	—	2	16	no	—
622	C₂×C₂²⋊C₄	—	2	16	no	—
623	C₂×C₂²⋊C₄	—	4	8	no	—
624	C₂×C₂²⋊C₄	—	8	4	no	—
625	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
626	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
627	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
628	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
629	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
630	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
631	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
632	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
633	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
634	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
635	C₂×C₂²⋊C₄	C₂²×C₄	1	32	yes	—
636	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
637	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
638	C₂×C₂²⋊C₄	C₂²×C₄	1	32	yes	—
639	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
640	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
641	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
642	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
643	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
644	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
645	C₂×C₂²⋊C₄	#41	1	16	yes	—
646	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
647	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
648	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
649	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
650	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
651	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
652	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
653	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
654	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
655	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
656	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
657	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
658	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
659	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
660	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
661	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
662	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
663	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
664	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
665	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
666	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
668	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
669	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
670	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
671	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
672	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
673	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
674	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
675	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
676	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
677	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
678	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
679	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
680	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
681	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
682	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
683	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
684	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
685	C₂×C₄²	—	2	16	no	—
686	C₂×C₄²	—	4	8	no	—
687	C₂×C₄²	—	8	4	no	—
688	C₂×C₄²	—	8	4	no	—
689	C₂×C₄²	—	8	4	no	—
690	C₂×C₄²	C₂²×C₄	1	8	yes	complemented
691	C₂×C₄²	C₂²×C₄	1	8	yes	complemented
692	C₂×C₄²	C₂²×C₄	1	8	yes	complemented
693	C₂×C₄²	C₂⁴	1	8	yes	—
694	C₂×C₄²	C₂⁴	1	8	yes	—
695	C₂×C₄²	C₂⁴	1	8	yes	—
696	C₂×C₄²	C₂⁴	1	4	yes	—
697	C₂×C₄²	C₂⁴	1	4	yes	—
698	C₂×C₄²	C₂⁴	1	4	yes	—
699	C₂×C₄²	C₂⁴	1	4	yes	—
700	C₂×C₄²	C₂⁴	1	4	yes	—
701	C₂×C₄²	C₂⁴	1	8	yes	—
702	C₂×C₄²	C₂⁴	1	8	yes	—
703	C₂×C₄²	C₂⁴	1	8	yes	—
704	C₂×C₄²	C₂⁴	1	8	yes	—
705	C₂×C₄²	C₂⁴	1	4	yes	—
706	C₂×C₄²	C₂⁴	1	4	yes	—
707	C₂×C₄²	C₂⁴	1	8	yes	—
708	C₂×C₄²	C₂⁴	1	4	yes	—
709	C₂×C₄²	C₂⁴	1	8	yes	—
710	C₂×C₄²	C₂⁴	1	2	yes	—
711	C₂×C₄²	C₂⁴	1	2	yes	—
712	C₂×C₄²	C₂⁴	1	2	yes	—
713	C₂×C₄²	C₂⁴	1	2	yes	—
714	C₂×C₄²	C₂⁴	1	2	yes	—
715	C₂×C₄²	C₂⁴	1	2	yes	—
716	#95	C₂⁴	1	4	yes	—
717	#95	C₂⁴	1	8	yes	—
718	#95	C₂⁴	1	4	yes	—
719	#95	C₂⁴	1	8	yes	—
720	#95	C₂⁴	1	8	yes	—
721	#95	C₂⁴	1	8	yes	—
722	#95	C₂⁴	1	4	yes	—
723	#95	C₂⁴	1	4	yes	—
724	#95	C₂⁴	1	8	yes	—
725	#95	C₂⁴	1	8	yes	—
726	#95	C₂⁴	1	8	yes	—
727	#95	C₂⁴	1	8	yes	—
728	#95	C₂⁴	1	8	yes	—
729	#95	C₂⁴	1	8	yes	—
730	#95	C₂⁴	1	4	yes	—
731	#95	C₂⁴	1	4	yes	—
732	#95	C₂⁴	1	4	yes	—
733	#95	C₂⁴	1	4	yes	—
734	#95	C₂⁴	1	8	yes	—
735	#95	C₂⁴	1	8	yes	—
736	#95	C₂⁴	1	8	yes	—
737	#95	C₂⁴	1	8	yes	—
738	#95	C₂⁴	1	8	yes	—
739	#95	C₂⁴	1	8	yes	—
740	#95	C₂⁴	1	8	yes	—
741	#95	C₂⁴	1	8	yes	—
742	C₂⁴	—	2	4	no	—
743	C₂⁴	—	2	4	no	—
744	C₂⁴	—	2	4	no	—
745	C₂⁴	—	2	8	no	—
746	C₂⁴	—	2	4	no	—
747	C₂⁴	—	2	32	no	—
748	C₂⁴	—	2	4	no	—
749	C₂⁴	—	2	4	no	—
750	C₂⁴	—	2	4	no	—
751	C₂⁴	—	2	4	no	—
752	C₂⁴	—	4	2	no	—
753	C₂⁴	—	4	4	no	—
754	C₂⁴	—	4	2	no	—
755	C₂⁴	—	4	2	no	—
756	C₂⁴	—	4	4	no	—
757	C₂⁴	—	4	2	no	—
758	C₂⁴	—	4	2	no	—
759	C₂⁴	—	4	2	no	—
760	C₂⁴	—	4	16	no	—
761	C₂⁴	—	4	4	no	—
762	C₂⁴	—	4	2	no	—
763	C₂⁴	—	8	8	no	—
764	C₂⁴	—	8	32	no	—
765	C₂⁴	C₂³×C₄	1	8	yes	—
766	C₂⁴	C₂³×C₄	1	4	yes	—
767	C₂⁴	C₂³×C₄	1	4	yes	—
768	C₂⁴	C₂³×C₄	1	8	yes	—
769	C₂⁴	C₂³×C₄	1	4	yes	—
770	C₂⁴	C₂³×C₄	1	4	yes	—
771	C₂⁴	C₂×#41	1	8	yes	—
772	C₂⁴	C₂⁵	1	1	yes	characteristic
773	C₂⁴	C₂⁵	1	2	yes	—
774	C₂⁴	C₂⁵	1	2	yes	—
775	C₂⁴	C₂⁵	1	1	yes	characteristic
776	C₂⁴	C₂⁵	1	2	yes	—
777	C₂⁴	C₂⁵	1	1	yes	characteristic
778	C₂×Q₈	—	4	8	no	—
779	C₂×Q₈	—	8	8	no	—
780	C₂×Q₈	C₂³×C₄	1	16	yes	—
781	C₂×D₄	—	2	32	no	—
782	C₂×D₄	—	2	8	no	—
783	C₂×D₄	—	2	8	no	—
784	C₂×D₄	—	2	8	no	—
785	C₂×D₄	—	4	8	no	—
786	C₂×D₄	—	4	4	no	—
787	C₂×D₄	—	4	16	no	—
788	C₂×D₄	—	8	8	no	—
789	C₂×D₄	C₂³×C₄	1	8	yes	—
790	C₂×D₄	C₂³×C₄	1	16	yes	—
791	C₂×D₄	C₂³×C₄	1	8	yes	—
792	C₂×D₄	C₂³×C₄	1	16	yes	—
793	C₂²×C₄	—	2	32	no	—
794	C₂²×C₄	—	2	4	no	—
795	C₂²×C₄	—	2	4	no	—
796	C₂²×C₄	—	2	4	no	—
797	C₂²×C₄	—	2	4	no	—
798	C₂²×C₄	—	2	4	no	—
799	C₂²×C₄	—	2	4	no	—
800	C₂²×C₄	—	2	4	no	—
801	C₂²×C₄	—	2	8	no	—
802	C₂²×C₄	—	2	16	no	—
803	C₂²×C₄	—	2	8	no	—
804	C₂²×C₄	—	2	8	no	—
805	C₂²×C₄	—	2	8	no	—
806	C₂²×C₄	—	2	16	no	—
807	C₂²×C₄	—	2	16	no	—
808	C₂²×C₄	—	2	16	no	—
809	C₂²×C₄	—	4	4	no	—
810	C₂²×C₄	—	4	8	no	—
811	C₂²×C₄	—	4	4	no	—
812	C₂²×C₄	—	4	4	no	—
813	C₂²×C₄	—	4	4	no	—
814	C₂²×C₄	—	4	4	no	—
815	C₂²×C₄	—	4	4	no	—
816	C₂²×C₄	—	4	4	no	—
817	C₂²×C₄	—	4	16	no	—
818	C₂²×C₄	—	4	2	no	—
819	C₂²×C₄	—	4	4	no	—
820	C₂²×C₄	—	4	4	no	—
821	C₂²×C₄	—	4	2	no	—
822	C₂²×C₄	—	4	2	no	—
823	C₂²×C₄	—	4	2	no	—
824	C₂²×C₄	—	4	2	no	—
825	C₂²×C₄	—	4	2	no	—
826	C₂²×C₄	—	4	2	no	—
827	C₂²×C₄	—	4	2	no	—
828	C₂²×C₄	—	4	4	no	—
829	C₂²×C₄	—	4	8	no	—
830	C₂²×C₄	—	4	4	no	—
831	C₂²×C₄	—	4	4	no	—
832	C₂²×C₄	—	4	4	no	—
833	C₂²×C₄	—	4	4	no	—
834	C₂²×C₄	—	4	8	no	—
835	C₂²×C₄	—	4	8	no	—
836	C₂²×C₄	—	4	8	no	—
837	C₂²×C₄	—	4	4	no	—
838	C₂²×C₄	—	8	8	no	—
839	C₂²×C₄	—	8	8	no	—
840	C₂²×C₄	—	8	8	no	—
841	C₂²×C₄	—	8	32	no	—
842	C₂²×C₄	C₂³×C₄	1	4	yes	—
843	C₂²×C₄	C₂³×C₄	1	4	yes	—
844	C₂²×C₄	C₂³×C₄	1	4	yes	—
845	C₂²×C₄	C₂³×C₄	1	8	yes	—
846	C₂²×C₄	C₂³×C₄	1	8	yes	—
847	C₂²×C₄	C₂³×C₄	1	8	yes	—
848	C₂²×C₄	C₂³×C₄	1	4	yes	—
849	C₂²×C₄	C₂³×C₄	1	4	yes	—
850	C₂²×C₄	C₂³×C₄	1	4	yes	—
851	C₂²×C₄	C₂³×C₄	1	4	yes	—
852	C₂²×C₄	C₂³×C₄	1	4	yes	—
853	C₂²×C₄	C₂³×C₄	1	4	yes	—
854	C₂²×C₄	C₂³×C₄	1	4	yes	—
855	C₂²×C₄	C₂³×C₄	1	4	yes	—
856	C₂²×C₄	C₂³×C₄	1	8	yes	—
857	C₂²×C₄	C₂³×C₄	1	8	yes	—
858	C₂²×C₄	C₂³×C₄	1	8	yes	—
859	C₂²×C₄	C₂³×C₄	1	8	yes	—
860	C₂²×C₄	C₂³×C₄	1	8	yes	—
861	C₂²×C₄	C₂³×C₄	1	8	yes	—
862	C₂²×C₄	C₂³×C₄	1	8	yes	—
863	C₂²×C₄	C₂×#41	1	16	yes	—
864	C₂²×C₄	C₂⁵	1	8	yes	—
865	C₂²×C₄	C₂⁵	1	8	yes	—
866	C₂²×C₄	C₂⁵	1	8	yes	—
867	C₂²×C₄	C₂⁵	1	1	yes	characteristic
868	C₂²×C₄	C₂⁵	1	2	yes	—
869	C₂²×C₄	C₂⁵	1	2	yes	—
870	C₂²×C₄	C₂⁵	1	1	yes	characteristic
871	C₂²×C₄	C₂⁵	1	2	yes	—
872	C₂²×C₄	C₂⁵	1	2	yes	—
873	C₂²×C₄	C₂⁵	1	2	yes	—
874	C₂²×C₄	C₂⁵	1	2	yes	—
875	C₂²×C₄	C₂⁵	1	1	yes	characteristic
876	C₂²×C₄	C₂⁵	1	2	yes	—
877	C₂²×C₄	C₂⁵	1	2	yes	—
878	C₂²×C₄	C₂⁵	1	2	yes	—
879	C₂²×C₄	C₂⁵	1	1	yes	characteristic
880	C₂²×C₄	C₂⁵	1	8	yes	—
881	C₄⋊C₄	—	2	16	no	—
882	C₄⋊C₄	—	2	16	no	—
883	C₄⋊C₄	—	2	16	no	—
884	C₄⋊C₄	—	4	8	no	—
885	C₄⋊C₄	—	4	8	no	—
886	C₄⋊C₄	—	4	8	no	—
887	C₄⋊C₄	—	4	8	no	—
888	C₄⋊C₄	—	4	8	no	—
889	C₄⋊C₄	—	4	8	no	—
890	C₄⋊C₄	C₂³×C₄	1	8	yes	—
891	C₄⋊C₄	C₂³×C₄	1	8	yes	—
892	C₄⋊C₄	C₂³×C₄	1	8	yes	—
893	C₄⋊C₄	C₂³×C₄	1	8	yes	—
894	C₄⋊C₄	C₂³×C₄	1	16	yes	—
895	C₄⋊C₄	C₂³×C₄	1	16	yes	—
896	C₄⋊C₄	C₂³×C₄	1	8	yes	—
897	C₄⋊C₄	C₂³×C₄	1	8	yes	—
898	C₄⋊C₄	C₂³×C₄	1	16	yes	—
899	C₄⋊C₄	C₂³×C₄	1	16	yes	—
900	C₄⋊C₄	C₂³×C₄	1	16	yes	—
901	C₂²⋊C₄	—	2	8	no	—
902	C₂²⋊C₄	—	2	8	no	—
903	C₂²⋊C₄	—	2	8	no	—
904	C₂²⋊C₄	—	2	8	no	—
905	C₂²⋊C₄	—	2	8	no	—
906	C₂²⋊C₄	—	2	8	no	—
907	C₂²⋊C₄	—	2	16	no	—
908	C₂²⋊C₄	—	2	16	no	—
909	C₂²⋊C₄	—	2	16	no	—
910	C₂²⋊C₄	—	2	16	no	—
911	C₂²⋊C₄	—	4	8	no	—
912	C₂²⋊C₄	—	4	8	no	—
913	C₂²⋊C₄	—	4	8	no	—
914	C₂²⋊C₄	—	4	8	no	—
915	C₂²⋊C₄	—	4	8	no	—
916	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
917	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
918	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
919	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
920	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
921	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
922	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
923	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
924	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
925	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
926	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
927	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
928	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
929	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
930	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
931	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
932	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
933	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
934	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
935	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
936	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
937	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
938	C₂²⋊C₄	C₂×#41	1	16	yes	—
939	C₂²⋊C₄	C₂×#41	1	16	yes	—
940	C₄²	—	2	16	no	—
941	C₄²	—	2	16	no	—
942	C₄²	—	2	16	no	—
943	C₄²	—	4	4	no	—
944	C₄²	—	4	4	no	—
945	C₄²	—	4	8	no	—
946	C₄²	—	4	4	no	—
947	C₄²	—	4	8	no	—
948	C₄²	—	4	4	no	—
949	C₄²	—	4	4	no	—
950	C₄²	—	4	8	no	—
951	C₄²	—	4	8	no	—
952	C₄²	—	4	4	no	—
953	C₄²	—	4	4	no	—
954	C₄²	—	4	4	no	—
955	C₄²	—	4	8	no	—
956	C₄²	—	4	8	no	—
957	C₄²	C₂³×C₄	1	8	yes	—
958	C₄²	C₂³×C₄	1	8	yes	—
959	C₄²	C₂³×C₄	1	8	yes	—
960	C₄²	C₂³×C₄	1	8	yes	—
961	C₄²	C₂³×C₄	1	8	yes	—
962	C₄²	C₂³×C₄	1	8	yes	—
963	C₂³	—	2	2	no	—
964	C₂³	—	2	4	no	—
965	C₂³	—	2	2	no	—
966	C₂³	—	2	2	no	—
967	C₂³	—	2	4	no	—
968	C₂³	—	2	2	no	—
969	C₂³	—	2	2	no	—
970	C₂³	—	2	2	no	—
971	C₂³	—	2	4	no	—
972	C₂³	—	2	2	no	—
973	C₂³	—	2	4	no	—
974	C₂³	—	2	4	no	—
975	C₂³	—	2	2	no	—
976	C₂³	—	2	2	no	—
977	C₂³	—	2	4	no	—
978	C₂³	—	2	4	no	—
979	C₂³	—	2	8	no	—
980	C₂³	—	2	16	no	—
981	C₂³	—	2	8	no	—
982	C₂³	—	2	16	no	—
983	C₂³	—	2	8	no	—
984	C₂³	—	2	8	no	—
985	C₂³	—	2	16	no	—
986	C₂³	—	4	4	no	—
987	C₂³	—	4	4	no	—
988	C₂³	—	4	4	no	—
989	C₂³	—	4	8	no	—
990	C₂³	—	4	16	no	—
991	C₂³	—	4	4	no	—
992	C₂³	—	4	4	no	—
993	C₂³	—	4	4	no	—
994	C₂³	—	4	4	no	—
995	C₂³	—	4	8	no	—
996	C₂³	—	4	8	no	—
997	C₂³	—	4	16	no	—
998	C₂³	—	4	16	no	—
999	C₂³	—	4	16	no	—
1000	C₂³	—	8	8	no	—
1001	C₂³	—	8	8	no	—
1002	C₂³	—	8	8	no	—
1003	C₂³	—	8	8	no	—
1004	C₂³	—	8	64	no	—
1005	C₂³	C₄×#41	1	16	yes	—
1006	C₂³	C₂⁴×C₄	1	4	yes	—
1007	C₂³	C₂⁴×C₄	1	2	yes	—
1008	C₂³	C₂⁴×C₄	1	4	yes	—
1009	C₂³	C₂⁴×C₄	1	4	yes	—
1010	C₂³	C₂⁴×C₄	1	2	yes	—
1011	C₂³	C₂⁴×C₄	1	2	yes	—
1012	C₂³	C₂²×#41	1	4	yes	—
1013	C₂³	C₂²×#41	1	4	yes	—
1014	C₂³	C₂²×#41	1	4	yes	—
1015	C₂³	#585	1	4	yes	—
1016	C₂³	C₂⁶	1	1	yes	characteristic
1017	Q₈	—	4	16	no	—
1018	D₄	—	2	32	no	—
1019	D₄	—	2	16	no	—
1020	D₄	—	4	8	no	—
1021	D₄	—	4	16	no	—
1022	C₂×C₄	—	2	2	no	—
1023	C₂×C₄	—	2	2	no	—
1024	C₂×C₄	—	2	4	no	—
1025	C₂×C₄	—	2	2	no	—
1026	C₂×C₄	—	2	2	no	—
1027	C₂×C₄	—	2	4	no	—
1028	C₂×C₄	—	2	8	no	—
1029	C₂×C₄	—	2	4	no	—
1030	C₂×C₄	—	2	4	no	—
1031	C₂×C₄	—	2	8	no	—
1032	C₂×C₄	—	2	2	no	—
1033	C₂×C₄	—	2	4	no	—
1034	C₂×C₄	—	2	4	no	—
1035	C₂×C₄	—	2	4	no	—
1036	C₂×C₄	—	2	4	no	—
1037	C₂×C₄	—	2	2	no	—
1038	C₂×C₄	—	2	8	no	—
1039	C₂×C₄	—	2	8	no	—
1040	C₂×C₄	—	2	16	no	—
1041	C₂×C₄	—	2	16	no	—
1042	C₂×C₄	—	2	8	no	—
1043	C₂×C₄	—	2	16	no	—
1044	C₂×C₄	—	2	8	no	—
1045	C₂×C₄	—	2	8	no	—
1046	C₂×C₄	—	2	8	no	—
1047	C₂×C₄	—	2	8	no	—
1048	C₂×C₄	—	2	8	no	—
1049	C₂×C₄	—	2	8	no	—
1050	C₂×C₄	—	2	8	no	—
1051	C₂×C₄	—	2	8	no	—
1052	C₂×C₄	—	2	8	no	—
1053	C₂×C₄	—	4	4	no	—
1054	C₂×C₄	—	4	4	no	—
1055	C₂×C₄	—	4	8	no	—
1056	C₂×C₄	—	4	4	no	—
1057	C₂×C₄	—	4	4	no	—
1058	C₂×C₄	—	4	8	no	—
1059	C₂×C₄	—	4	8	no	—
1060	C₂×C₄	—	4	8	no	—
1061	C₂×C₄	—	4	8	no	—
1062	C₂×C₄	—	4	8	no	—
1063	C₂×C₄	—	4	8	no	—
1064	C₂×C₄	—	4	4	no	—
1065	C₂×C₄	—	4	4	no	—
1066	C₂×C₄	—	4	16	no	—
1067	C₂×C₄	—	4	4	no	—
1068	C₂×C₄	—	4	4	no	—
1069	C₂×C₄	—	4	32	no	—
1070	C₂×C₄	—	8	16	no	—
1071	C₂×C₄	—	8	16	no	—
1072	C₂×C₄	—	8	8	no	—
1073	C₂×C₄	—	8	8	no	—
1074	C₂×C₄	—	8	8	no	—
1075	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1076	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1077	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1078	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1079	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1080	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1081	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1082	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1083	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1084	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1085	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1086	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1087	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1088	C₂×C₄	C₂²×#41	1	16	yes	—
1089	C₂²	—	2	8	no	—
1090	C₂²	—	2	8	no	—
1091	C₂²	—	2	8	no	—
1092	C₂²	—	2	8	no	—
1093	C₂²	—	2	2	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	2	4	no	—
1096	C₂²	—	2	2	no	—
1097	C₂²	—	2	2	no	—
1098	C₂²	—	2	4	no	—
1099	C₂²	—	2	4	no	—
1100	C₂²	—	2	2	no	—
1101	C₂²	—	2	4	no	—
1102	C₂²	—	2	2	no	—
1103	C₂²	—	2	4	no	—
1104	C₂²	—	2	4	no	—
1105	C₂²	—	2	4	no	—
1106	C₂²	—	2	2	no	—
1107	C₂²	—	2	4	no	—
1108	C₂²	—	4	16	no	—
1109	C₂²	—	4	16	no	—
1110	C₂²	—	4	32	no	—
1111	C₂²	—	4	4	no	—
1112	C₂²	—	4	8	no	—
1113	C₂²	—	4	4	no	—
1114	C₂²	—	4	4	no	—
1115	C₂²	—	8	8	no	—
1116	C₂²	—	8	8	no	—
1117	C₂²	—	8	16	no	—
1118	C₂²	C₂×C₄×#41	1	4	yes	—
1119	C₂²	C₂×C₄×#41	1	8	yes	—
1120	C₂²	#3428	1	4	yes	—
1121	C₂²	C₂⁵×C₄	1	1	yes	characteristic
1122	C₂²	C₂³×#41	1	2	yes	—
1123	C₂²	C₂×#585	1	2	yes	—
1124	C₂²	H(7,𝔽₂)	1	2	yes	—
1125	C₄	—	2	16	no	—
1126	C₄	—	2	2	no	—
1127	C₄	—	2	4	no	—
1128	C₄	—	2	2	no	—
1129	C₄	—	2	4	no	—
1130	C₄	—	2	4	no	—
1131	C₄	—	2	4	no	—
1132	C₄	—	2	4	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	4	no	—
1135	C₄	—	2	2	no	—
1136	C₄	—	2	4	no	—
1137	C₄	—	2	4	no	—
1138	C₄	—	2	4	no	—
1139	C₄	—	4	8	no	—
1140	C₄	—	4	8	no	—
1141	C₄	—	4	8	no	—
1142	C₂	—	2	4	no	—
1143	C₂	—	2	4	no	—
1144	C₂	—	2	8	no	—
1145	C₂	—	4	2	no	—
1146	C₂	—	4	4	no	—
1147	C₂	—	4	4	no	—
1148	C₂	C₂²×C₄×#41	1	1	yes	characteristic
1149	C₂	C₂×#3428	1	1	yes	characteristic
1150	C₂	#62652	1	1	yes	characteristic
1151	C₂	#62990	1	4	yes	—

	subgroup	G/H
center, Frattini, socle, cosocle	C₂³	C₂⁶
commutator	C₂²	C₂⁵×C₄
prime radical	C₂²×#120	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #34315	C₂	semidirect
3. #34303	C₂	semidirect
4. #34296	C₂	semidirect
5. #34247	C₂	semidirect
6. #34247	C₂	semidirect
7. #34245	C₂	semidirect
8. #34240	C₂	semidirect
9. #34238	C₂	semidirect
10. #34238	C₂	semidirect
11. #34212	C₂	semidirect
12. #34199	C₂	semidirect
14. #34185	C₂	semidirect
15. #34177	C₂	semidirect
16. #34176	C₂	semidirect
17. C₄×#551	C₂	semidirect
18. #34126	C₂	semidirect
19. #34109	C₂	semidirect
20. C₂×#2342	C₂	semidirect
21. C₄×#518	C₂	semidirect
22. #33996	C₂	semidirect
23. C₂×#2273	C₂	semidirect
24. C₂×#551	C₄	semidirect
47. #2374	C₂²	semidirect
48. #2374	C₂²	semidirect
49. #2373	C₂²	semidirect
50. #2373	C₂²	semidirect
51. #2373	C₂²	semidirect
52. #2373	C₂²	semidirect
53. #2372	C₂²	semidirect
54. #2368	C₂²	semidirect
55. #2368	C₂²	semidirect
56. #2367	C₂²	semidirect
57. #2362	C₂²	semidirect
58. #2360	C₂²	semidirect
59. #2359	C₂²	semidirect
60. #2359	C₂²	semidirect
61. #2359	C₂²	semidirect
62. #2359	C₂²	semidirect
65. #2357	C₂²	semidirect
66. #2353	C₂²	semidirect
67. #2353	C₂²	semidirect
68. #2353	C₂²	semidirect
69. #2352	C₂²	semidirect
70. #2349	C₂²	semidirect
71. #2347	C₂²	semidirect
72. #2346	C₂²	semidirect
73. #2345	C₂²	semidirect
74. #2345	C₂²	semidirect
75. #2345	C₂²	semidirect
76. #2344	C₂²	semidirect
77. #2344	C₂²	semidirect
78. #2343	C₂²	semidirect
79. #2343	C₂²	semidirect
80. #2343	C₂²	semidirect
81. #2343	C₂²	semidirect
88. #2342	C₂²	semidirect
89. #2342	C₂²	semidirect
90. #2342	C₂²	semidirect
91. #2342	C₂²	semidirect
92. #2342	C₂²	semidirect
93. #2342	C₂²	semidirect
94. #2342	C₂²	semidirect
95. #2342	C₂²	semidirect
96. Q₈×C₂²⋊C₄	C₂²	semidirect
99. #2337	C₂²	semidirect
100. #2335	C₂²	semidirect
101. #2335	C₂²	semidirect
102. #2334	C₂²	semidirect
103. #2334	C₂²	semidirect
104. #2332	C₂²	semidirect
105. #2329	C₂²	semidirect
106. #2322	C₂²	semidirect
110. #2313	C₂²	semidirect
111. #2313	C₂²	semidirect
112. #2313	C₂²	semidirect
115. #2312	C₂²	semidirect
117. C₄×#126	C₂²	semidirect
118. C₄×#126	C₂²	semidirect
119. C₄×#124	C₂²	semidirect
120. C₄×C₂²⋊Q₈	C₂²	semidirect
121. C₄×C₂²⋊Q₈	C₂²	semidirect
122. C₄×#123	C₂²	semidirect
123. C₄×#123	C₂²	semidirect
124. C₄×#123	C₂²	semidirect
126. #2298	C₂²	semidirect
127. #2298	C₂²	semidirect
128. #2296	C₂²	semidirect
129. #2293	C₂²	semidirect
130. #2290	C₂²	semidirect
131. #2290	C₂²	semidirect
132. C₂×#388	C₂²	semidirect
133. C₂×#388	C₂²	semidirect
134. C₂×#385	C₂²	semidirect
135. #2283	C₂²	semidirect
136. #2283	C₂²	semidirect
137. #2283	C₂²	semidirect
140. #2280	C₂²	semidirect
144. #2275	C₂²	semidirect
145. #2274	C₂²	semidirect
146. #2274	C₂²	semidirect
147. #2274	C₂²	semidirect
148. #2274	C₂²	semidirect
157. #2273	C₂²	semidirect
158. #2273	C₂²	semidirect
159. C₄²×D₄	C₂²	semidirect
160. C₄²×D₄	C₂²	semidirect
161. C₄×#117	C₂²	semidirect
162. C₄×#117	C₂²	semidirect
163. C₄×#117	C₂²	semidirect
164. C₄×#117	C₂²	semidirect
165. C₄×#117	C₂²	semidirect
169. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
170. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
171. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
183. #551	C₂×C₄	semidirect
184. #551	C₂×C₄	semidirect
185. #551	C₂×C₄	semidirect
186. #551	C₂×C₄	semidirect
187. C₂×#126	C₂×C₄	semidirect
188. C₂×#126	C₂×C₄	semidirect
193. C₂×#124	C₂×C₄	semidirect
196. C₂×#123	C₂×C₄	semidirect
197. C₂×#123	C₂×C₄	semidirect
198. C₂×#123	C₂×C₄	semidirect
205. C₂×C₂²⋊Q₈	C₂×C₄	semidirect
206. C₂×C₂²⋊Q₈	C₂×C₄	semidirect
215. C₂×C₄×Q₈	C₂³	semidirect
216. C₂×C₄×D₄	C₂×C₄	semidirect
217. C₂×C₄×D₄	C₂×C₄	semidirect
229. C₂×#117	C₂×C₄	semidirect
230. C₂×#117	C₂×C₄	semidirect
244. C₂×#117	C₂³	semidirect
256. C₂²×C₂²⋊C₄	C₂×C₄	semidirect
257. C₂²×C₂²⋊C₄	C₂×C₄	semidirect
297. C₂²×C₄²	C₂³	semidirect
298. #391	C₂³	semidirect
299. #391	C₂³	semidirect
300. #391	C₂³	semidirect
303. #389	C₂³	semidirect
304. #389	C₂³	semidirect
305. #389	C₂³	semidirect
306. #389	C₂³	semidirect
307. #389	C₂³	semidirect
324. #388	C₂³	semidirect
325. #388	C₂³	semidirect
326. #388	C₂³	semidirect
327. #388	C₂³	semidirect
328. #388	C₂³	semidirect
329. #388	C₂³	semidirect
330. #387	C₂³	semidirect
331. #387	C₂³	semidirect
332. #387	C₂³	semidirect
333. #387	C₂³	semidirect
334. #387	C₂³	semidirect
335. #387	C₂³	semidirect
336. #387	C₂³	semidirect
337. #387	C₂³	semidirect
338. #387	C₂³	semidirect
339. #387	C₂³	semidirect
340. #387	C₂³	semidirect
341. #387	C₂³	semidirect
342. #387	C₂³	semidirect
343. #387	C₂³	semidirect
344. #387	C₂³	semidirect
345. #387	C₂³	semidirect
362. #385	C₂³	semidirect
363. #385	C₂³	semidirect
364. #383	C₂³	semidirect
365. #383	C₂³	semidirect
366. #383	C₂³	semidirect
367. #382	C₂³	semidirect
368. #382	C₂³	semidirect
369. #382	C₂³	semidirect
377. #381	C₂³	semidirect
388. #380	C₂³	semidirect
394. C₄×C₄⋊C₄	C₂³	semidirect
395. C₄×C₄⋊C₄	C₂³	semidirect
396. C₄×C₄⋊C₄	C₂³	semidirect
397. C₄×C₄⋊C₄	C₂³	semidirect
398. C₄×C₄⋊C₄	C₂³	semidirect
399. C₄×C₄⋊C₄	C₂³	semidirect
400. C₄×C₄⋊C₄	C₂³	semidirect
401. C₄×C₄⋊C₄	C₂³	semidirect
402. C₄×C₄⋊C₄	C₂³	semidirect
403. C₄×C₄⋊C₄	C₂³	semidirect
404. C₄×C₄⋊C₄	C₂³	semidirect
405. C₄×C₄⋊C₄	C₂³	semidirect
406. C₄×C₄⋊C₄	C₂³	semidirect
407. C₄×C₄⋊C₄	C₂³	semidirect
408. C₄×C₄⋊C₄	C₂³	semidirect
409. C₄×C₄⋊C₄	C₂³	semidirect
410. C₄×C₄⋊C₄	C₂³	semidirect
411. C₄×C₄⋊C₄	C₂³	semidirect
412. C₄×C₄⋊C₄	C₂³	semidirect
413. C₄×C₄⋊C₄	C₂³	semidirect
454. C₄×C₂²⋊C₄	C₂³	semidirect
455. C₄×C₂²⋊C₄	C₂³	semidirect
456. C₄×C₂²⋊C₄	C₂³	semidirect
457. C₄×C₂²⋊C₄	C₂³	semidirect
458. C₄×C₂²⋊C₄	C₂³	semidirect
459. C₄×C₂²⋊C₄	C₂³	semidirect
460. C₄×C₂²⋊C₄	C₂³	semidirect
461. #376	C₂³	semidirect
462. #376	C₂³	semidirect
463. #376	C₂³	semidirect
464. #376	C₂³	semidirect
465. #376	C₂³	semidirect
466. #376	C₂³	semidirect
473. C₂×#95	C₂³	semidirect
474. C₄³	C₂³	semidirect
475. C₄³	C₂³	semidirect
476. C₄³	C₂³	semidirect
488. C₂²×Q₈	C₂²×C₄	semidirect
512. C₂³×C₄	C₂²×C₄	semidirect
541. #126	C₂²×C₄	semidirect
542. #126	C₂²×C₄	semidirect
543. #126	C₂²×C₄	semidirect
544. #126	C₂²×C₄	semidirect
545. #124	C₂²×C₄	semidirect
546. #124	C₂²×C₄	semidirect
548. #123	C₂²×C₄	semidirect
549. #123	C₂²×C₄	semidirect
550. #123	C₂²×C₄	semidirect
551. #123	C₂²×C₄	semidirect
552. #123	C₂²×C₄	semidirect
554. C₂²⋊Q₈	C₂²×C₄	semidirect
555. C₂²⋊Q₈	C₂²×C₄	semidirect
556. C₂²⋊Q₈	C₂²×C₄	semidirect
566. C₄×D₄	C₂²×C₄	semidirect
567. C₄×D₄	C₂²×C₄	semidirect
568. C₄×D₄	C₂²×C₄	semidirect
569. C₄×D₄	C₂²×C₄	semidirect
580. #117	C₂²×C₄	semidirect
581. #117	C₂²×C₄	semidirect
582. #117	C₂²×C₄	semidirect
583. #117	C₂²×C₄	semidirect
586. C₂×C₄⋊C₄	C₂²×C₄	semidirect
587. C₂×C₄⋊C₄	C₂²×C₄	semidirect
588. C₂×C₄⋊C₄	C₂²×C₄	semidirect
589. C₂×C₄⋊C₄	C₂²×C₄	semidirect
590. C₂×C₄⋊C₄	C₂²×C₄	semidirect
591. C₂×C₄⋊C₄	C₂²×C₄	semidirect
592. C₂×C₄⋊C₄	C₂²×C₄	semidirect
593. C₂×C₄⋊C₄	C₂²×C₄	semidirect
642. C₂×C₂²⋊C₄	C₂²×C₄	semidirect
643. C₂×C₂²⋊C₄	C₂²×C₄	semidirect
644. C₂×C₂²⋊C₄	C₂²×C₄	semidirect
690. C₂×C₄²	C₂²×C₄	semidirect
691. C₂×C₄²	C₂²×C₄	semidirect
692. C₂×C₄²	C₂²×C₄	semidirect

Maximal subgroups

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

subgroup	index
C₂²×#551	2
#34315	2
#34303	2
#34296	2
#34247	2
#34245	2
#34240	2
#34238	2
#34212	2
#34199	2
#34198	2
#34185	2
#34177	2
#34176	2
C₄×#551	2
#34126	2
#34109	2
C₂×#2342	2
C₄×#518	2
#33996	2
C₂×#2273	2