Subgroups — #7626607

Order 512.

7218 conjugacy classes of subgroups.

The subgroup lattice has 1113 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	#34508	C₂	1	8	yes	maximal, complemented
3	#34504	C₂	1	8	yes	maximal, complemented
4	#34479	C₂	1	8	yes	maximal, complemented
5	#34381	C₂	1	2	yes	maximal, complemented
6	#34377	C₂	1	2	yes	maximal, complemented
7	#34376	C₂	1	2	yes	maximal, complemented
8	#34370	C₂	1	2	yes	maximal, complemented
9	#34357	C₂	1	2	yes	maximal, complemented
10	#34356	C₂	1	2	yes	maximal
11	#34315	C₂	1	8	yes	maximal, complemented
12	#34247	C₂	1	2	yes	maximal, complemented
13	#34245	C₂	1	2	yes	maximal, complemented
14	#34238	C₂	1	2	yes	maximal, complemented
15	#34186	C₂	1	1	yes	maximal, characteristic, complemented
16	#34180	C₂	1	2	yes	maximal, complemented
17	#34179	C₂	1	1	yes	maximal, characteristic, complemented
18	#34176	C₂	1	1	yes	maximal, characteristic, complemented
19	#34176	C₂	1	2	yes	maximal, complemented
20	#34126	C₂	1	2	yes	maximal, complemented
21	#34057	C₂	1	1	yes	maximal, characteristic, complemented
22	#34048	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#2312	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	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
39	C₂²×C₄×D₄	C₂²	1	1	yes	characteristic
40	C₂²×#117	C₂²	1	1	yes	characteristic
41	C₂²×#117	C₂²	1	1	yes	characteristic
42	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₂³×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	#2383	C₂²	1	8	yes	complemented
45	#2379	C₂²	1	8	yes	complemented
46	#2378	C₂²	1	8	yes	complemented
47	#2376	C₂²	1	8	yes	complemented
48	#2376	C₂²	1	8	yes	complemented
49	#2375	C₂²	1	8	yes	—
50	#2374	C₂²	1	8	yes	complemented
51	#2374	C₂²	1	8	yes	complemented
52	#2373	C₂²	1	8	yes	complemented
53	#2373	C₂²	1	8	yes	complemented
54	#2373	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	#2362	C₂²	1	8	yes	complemented
59	#2359	C₂²	1	8	yes	complemented
60	#2359	C₂²	1	8	yes	complemented
61	#2358	C₂²	1	8	yes	—
62	#2357	C₂²	1	8	yes	complemented
63	#2357	C₂²	1	4	yes	complemented
64	#2354	C₂²	1	8	yes	complemented
65	#2353	C₂²	1	4	yes	complemented
66	#2353	C₂²	1	4	yes	complemented
67	#2349	C₂²	1	4	yes	complemented
68	#2347	C₂²	1	8	yes	complemented
69	#2347	C₂²	1	4	yes	complemented
70	#2346	C₂²	1	8	yes	complemented
71	#2346	C₂²	1	4	yes	complemented
72	#2345	C₂²	1	4	yes	complemented
73	#2345	C₂²	1	4	yes	complemented
74	#2345	C₂²	1	4	yes	complemented
75	#2344	C₂²	1	4	yes	complemented
76	#2344	C₂²	1	4	yes	complemented
77	#2343	C₂²	1	4	yes	complemented
78	#2343	C₂²	1	4	yes	complemented
79	#2342	C₂²	1	4	yes	—
80	#2342	C₂²	1	4	yes	—
81	#2342	C₂²	1	4	yes	—
82	#2342	C₂²	1	4	yes	—
83	#2342	C₂²	1	4	yes	—
84	#2342	C₂²	1	4	yes	—
85	#2342	C₂²	1	4	yes	complemented
86	#2342	C₂²	1	8	yes	complemented
87	#2342	C₂²	1	4	yes	complemented
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	Q₈×C₂²⋊C₄	C₂²	1	4	yes	complemented
94	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
95	D₄×C₂²⋊C₄	C₂²	1	4	yes	—
96	#2337	C₂²	1	8	yes	complemented
97	#2335	C₂²	1	8	yes	complemented
98	#2335	C₂²	1	8	yes	complemented
99	#2335	C₂²	1	8	yes	complemented
100	#2335	C₂²	1	8	yes	complemented
101	#2334	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	#2332	C₂²	1	8	yes	complemented
106	#2326	C₂²	1	8	yes	complemented
107	#2323	C₂²	1	8	yes	complemented
108	#2322	C₂²	1	8	yes	complemented
109	#2321	C₂²	1	8	yes	—
110	#2321	C₂²	1	8	yes	—
111	#2318	C₂²	1	8	yes	complemented
112	#2317	C₂²	1	4	yes	complemented
113	#2316	C₂²	1	2	yes	complemented
114	#2315	C₂²	1	2	yes	—
115	#2315	C₂²	1	4	yes	complemented
116	#2315	C₂²	1	2	yes	complemented
117	#2314	C₂²	1	8	yes	complemented
118	#2314	C₂²	1	4	yes	complemented
119	#2314	C₂²	1	4	yes	complemented
120	#2313	C₂²	1	2	yes	complemented
121	#2313	C₂²	1	2	yes	complemented
122	#2313	C₂²	1	2	yes	complemented
123	#2312	C₂²	1	1	yes	characteristic
124	#2312	C₂²	1	2	yes	—
125	#2312	C₂²	1	1	yes	characteristic
126	#2312	C₂²	1	1	yes	characteristic
127	#2312	C₂²	1	2	yes	—
128	#2312	C₂²	1	2	yes	—
129	#2312	C₂²	1	2	yes	—
130	#2312	C₂²	1	2	yes	—
131	#2312	C₂²	1	1	yes	characteristic
132	#2312	C₂²	1	2	yes	—
133	#2312	C₂²	1	4	yes	complemented
134	#2312	C₂²	1	4	yes	complemented
135	#2312	C₂²	1	8	yes	complemented
136	#2312	C₂²	1	2	yes	complemented
137	#2309	C₂²	1	2	yes	—
138	#2308	C₂²	1	2	yes	—
139	C₄×#126	C₂²	1	8	yes	complemented
140	C₄×C₂²⋊Q₈	C₂²	1	8	yes	complemented
141	C₄×#123	C₂²	1	8	yes	complemented
142	#2298	C₂²	1	8	yes	complemented
143	#2293	C₂²	1	4	yes	complemented
144	#2290	C₂²	1	8	yes	complemented
145	#2290	C₂²	1	4	yes	complemented
146	#2290	C₂²	1	4	yes	complemented
147	C₂×#388	C₂²	1	8	yes	complemented
148	#2285	C₂²	1	2	yes	complemented
149	#2285	C₂²	1	2	yes	complemented
150	#2283	C₂²	1	2	yes	complemented
151	#2283	C₂²	1	2	yes	complemented
152	#2283	C₂²	1	2	yes	complemented
153	#2280	C₂²	1	2	yes	—
154	#2280	C₂²	1	2	yes	—
155	#2280	C₂²	1	2	yes	—
156	#2280	C₂²	1	2	yes	—
157	#2280	C₂²	1	2	yes	—
158	#2280	C₂²	1	2	yes	—
159	#2280	C₂²	1	2	yes	complemented
160	C₂×#380	C₂²	1	2	yes	—
161	C₂×#379	C₂²	1	2	yes	—
162	C₂×#379	C₂²	1	2	yes	—
163	#2274	C₂²	1	4	yes	complemented
164	#2274	C₂²	1	2	yes	complemented
165	#2274	C₂²	1	2	yes	complemented
166	#2273	C₂²	1	2	yes	—
167	#2273	C₂²	1	4	yes	complemented
168	C₄²×D₄	C₂²	1	4	yes	complemented
169	C₄×#117	C₂²	1	2	yes	complemented
170	C₂×C₄×C₂²⋊C₄	C₂²	1	2	yes	—
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	1	yes	characteristic
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	#551	C₂×C₄	1	64	yes	complemented
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	C₂×#126	C₂×C₄	1	16	yes	complemented
187	C₂×#126	C₂×C₄	1	16	yes	complemented
188	C₂×#126	C₂³	1	4	yes	—
189	C₂×#126	C₂³	1	4	yes	—
190	C₂×#126	C₂³	1	4	yes	—
191	C₂×#126	C₂³	1	4	yes	—
192	C₂×#124	C₂×C₄	1	16	yes	complemented
193	C₂×#124	C₂³	1	4	yes	—
194	C₂×#124	C₂³	1	4	yes	—
195	C₂×#123	C₂×C₄	1	16	yes	complemented
196	C₂×#123	C₂×C₄	1	16	yes	complemented
197	C₂×#123	C₂×C₄	1	16	yes	complemented
198	C₂×#123	C₂³	1	4	yes	—
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×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
205	C₂×C₂²⋊Q₈	C₂×C₄	1	16	yes	complemented
206	C₂×C₂²⋊Q₈	C₂³	1	4	yes	—
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×#120	C₂×C₄	1	16	yes	—
211	C₂×#120	C₂³	1	4	yes	—
212	C₂×#120	C₂³	1	4	yes	—
213	C₂×C₄×Q₈	C₂³	1	8	yes	complemented
214	C₂×C₄×D₄	C₂×C₄	1	16	yes	complemented
215	C₂×C₄×D₄	C₂×C₄	1	16	yes	complemented
216	C₂×C₄×D₄	C₂³	1	8	yes	—
217	C₂×C₄×D₄	C₂³	1	8	yes	—
218	C₂×C₄×D₄	C₂³	1	4	yes	—
219	C₂×C₄×D₄	C₂³	1	2	yes	—
220	C₂×C₄×D₄	C₂³	1	2	yes	—
221	C₂×C₄×D₄	C₂³	1	2	yes	—
222	C₂×C₄×D₄	C₂³	1	4	yes	—
223	C₂×C₄×D₄	C₂³	1	2	yes	—
224	C₂×#117	C₂×C₄	1	16	yes	complemented
225	C₂×#117	C₂×C₄	1	16	yes	complemented
226	C₂×#117	C₂³	1	4	yes	—
227	C₂×#117	C₂³	1	4	yes	—
228	C₂×#117	C₂³	1	4	yes	—
229	C₂×#117	C₂³	1	4	yes	—
230	C₂×#117	C₂³	1	4	yes	—
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	2	yes	—
235	C₂×#117	C₂³	1	2	yes	—
236	C₂×#117	C₂³	1	2	yes	—
237	C₂×#117	C₂³	1	2	yes	—
238	C₂×#117	C₂³	1	4	yes	—
239	C₂×#117	C₂³	1	4	yes	complemented
240	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
241	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂²×C₂²⋊C₄	C₂×C₄	1	16	yes	complemented
250	C₂²×C₂²⋊C₄	C₂×C₄	1	16	yes	complemented
251	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
252	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
253	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
254	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
255	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
256	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
257	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
258	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
265	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
266	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
267	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
268	C₂²×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
277	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
278	C₂²×C₄²	C₂³	1	4	yes	—
279	C₂²×C₄²	C₂³	1	1	yes	characteristic
280	C₂²×C₄²	C₂³	1	1	yes	characteristic
281	C₂²×C₄²	C₂³	1	1	yes	characteristic
282	C₂²×C₄²	C₂³	1	4	yes	complemented
283	#391	C₂³	1	8	yes	complemented
284	#391	C₂³	1	8	yes	complemented
285	#391	C₂³	1	8	yes	complemented
286	#390	C₂³	1	8	yes	—
287	#390	C₂³	1	8	yes	—
288	#390	C₂³	1	8	yes	—
289	#390	C₂³	1	8	yes	—
290	#389	C₂³	1	8	yes	complemented
291	#389	C₂³	1	8	yes	complemented
292	#389	C₂³	1	8	yes	complemented
293	#389	C₂³	1	8	yes	complemented
294	#389	C₂³	1	8	yes	complemented
295	#389	C₂³	1	8	yes	complemented
296	#389	C₂³	1	8	yes	complemented
297	#388	C₂³	1	8	yes	—
298	#388	C₂³	1	8	yes	—
299	#388	C₂³	1	8	yes	—
300	#388	C₂³	1	8	yes	—
301	#388	C₂³	1	8	yes	—
302	#388	C₂³	1	8	yes	—
303	#388	C₂³	1	8	yes	—
304	#388	C₂³	1	8	yes	—
305	#388	C₂³	1	8	yes	—
306	#388	C₂³	1	8	yes	—
307	#388	C₂³	1	8	yes	—
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	—
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	#388	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	#387	C₂³	1	8	yes	complemented
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	#386	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	complemented
362	#385	C₂³	1	8	yes	complemented
363	#385	C₂³	1	8	yes	complemented
364	#385	C₂³	1	8	yes	complemented
365	#384	C₂³	1	4	yes	complemented
366	#384	C₂³	1	4	yes	complemented
367	#383	C₂³	1	4	yes	complemented
368	#383	C₂³	1	4	yes	complemented
369	#383	C₂³	1	4	yes	complemented
370	#382	C₂³	1	4	yes	complemented
371	#382	C₂³	1	4	yes	complemented
372	#382	C₂³	1	4	yes	complemented
373	#382	C₂³	1	4	yes	complemented
374	#382	C₂³	1	4	yes	complemented
375	#381	C₂³	1	4	yes	—
376	#381	C₂³	1	4	yes	—
377	#381	C₂³	1	4	yes	—
378	#381	C₂³	1	4	yes	—
379	#381	C₂³	1	4	yes	—
380	#381	C₂³	1	4	yes	—
381	#381	C₂³	1	4	yes	—
382	#381	C₂³	1	4	yes	complemented
383	#380	C₂³	1	2	yes	—
384	#380	C₂³	1	2	yes	—
385	#380	C₂³	1	4	yes	—
386	#380	C₂³	1	2	yes	—
387	#380	C₂³	1	4	yes	—
388	#380	C₂³	1	2	yes	—
389	#380	C₂³	1	4	yes	—
390	#380	C₂³	1	4	yes	—
391	#380	C₂³	1	4	yes	—
392	#380	C₂³	1	4	yes	—
393	#380	C₂³	1	4	yes	—
394	#380	C₂³	1	4	yes	—
395	#380	C₂³	1	4	yes	—
396	#380	C₂³	1	4	yes	—
397	#380	C₂³	1	4	yes	—
398	#380	C₂³	1	4	yes	—
399	#380	C₂³	1	4	yes	—
400	#380	C₂³	1	4	yes	—
401	#380	C₂³	1	4	yes	—
402	#380	C₂³	1	4	yes	—
403	#380	C₂³	1	4	yes	complemented
404	#379	C₂³	1	2	yes	—
405	#379	C₂³	1	2	yes	—
406	#379	C₂³	1	2	yes	—
407	#379	C₂³	1	2	yes	—
408	#379	C₂³	1	4	yes	—
409	#379	C₂³	1	4	yes	—
410	#379	C₂³	1	4	yes	—
411	#379	C₂³	1	4	yes	—
412	#379	C₂³	1	4	yes	—
413	#379	C₂³	1	4	yes	—
414	#379	C₂³	1	4	yes	—
415	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
416	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
417	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
418	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
419	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
420	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
421	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
422	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
423	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
424	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
425	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
426	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
427	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
428	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
429	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
430	C₄×C₄⋊C₄	C₂³	1	8	yes	complemented
431	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
432	C₄×C₄⋊C₄	C₂³	1	4	yes	complemented
433	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
434	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
435	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
436	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
437	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
438	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
439	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
440	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
441	C₄×C₂²⋊C₄	C₂³	1	2	yes	—
442	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
443	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
444	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
445	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
446	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
447	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
448	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
449	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
450	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
451	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
452	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
453	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
454	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
455	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
456	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
457	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
458	C₄×C₂²⋊C₄	C₂³	1	8	yes	—
459	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
460	C₄×C₂²⋊C₄	C₂³	1	4	yes	—
461	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
462	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
463	C₄×C₂²⋊C₄	C₂³	1	8	yes	complemented
464	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
465	C₄×C₂²⋊C₄	C₂³	1	4	yes	complemented
466	#376	C₂³	1	4	yes	complemented
467	#376	C₂³	1	4	yes	complemented
468	#376	C₂³	1	4	yes	complemented
469	#376	C₂³	1	4	yes	complemented
470	C₂×#95	C₂³	1	4	yes	—
471	C₂×#95	C₂³	1	4	yes	—
472	C₂×#95	C₂³	1	4	yes	complemented
473	C₄³	C₂³	1	4	yes	complemented
474	C₂⁵	—	4	4	no	—
475	C₂⁵	—	4	4	no	—
476	C₂⁵	—	8	2	no	—
477	C₂⁵	C₂²×C₄	1	8	yes	—
478	C₂⁵	C₂⁴	1	1	yes	characteristic
479	C₂⁵	C₂⁴	1	2	yes	—
480	C₂⁵	C₂⁴	1	1	yes	characteristic
481	C₂⁵	C₂⁴	1	1	yes	characteristic
482	C₂⁵	C₂⁴	1	1	yes	characteristic
483	C₂⁵	C₂⁴	1	2	yes	—
484	C₂²×Q₈	—	8	2	no	—
485	C₂²×Q₈	C₂²×C₄	1	8	yes	—
486	C₂²×Q₈	C₂⁴	1	4	yes	—
487	C₂²×D₄	—	4	4	no	—
488	C₂²×D₄	—	4	4	no	—
489	C₂²×D₄	—	8	2	no	—
490	C₂²×D₄	C₂²×C₄	1	8	yes	—
491	C₂²×D₄	C₂²×C₄	1	8	yes	—
492	C₂²×D₄	C₂²×C₄	1	8	yes	—
493	C₂²×D₄	C₂⁴	1	2	yes	—
494	C₂²×D₄	C₂⁴	1	4	yes	—
495	C₂²×D₄	C₂⁴	1	4	yes	—
496	C₂²×D₄	C₂⁴	1	2	yes	—
497	C₂³×C₄	—	4	4	no	—
498	C₂³×C₄	—	4	4	no	—
499	C₂³×C₄	—	8	2	no	—
500	C₂³×C₄	—	8	2	no	—
501	C₂³×C₄	—	8	2	no	—
502	C₂³×C₄	C₂²×C₄	1	8	yes	—
503	C₂³×C₄	C₂²×C₄	1	8	yes	—
504	C₂³×C₄	C₂²×C₄	1	8	yes	—
505	C₂³×C₄	C₂²×C₄	1	8	yes	—
506	C₂³×C₄	C₂²×C₄	1	8	yes	—
507	C₂³×C₄	C₂⁴	1	1	yes	characteristic
508	C₂³×C₄	C₂⁴	1	1	yes	characteristic
509	C₂³×C₄	C₂⁴	1	1	yes	characteristic
510	C₂³×C₄	C₂⁴	1	2	yes	—
511	C₂³×C₄	C₂⁴	1	8	yes	—
512	C₂³×C₄	C₂⁴	1	8	yes	—
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	1	yes	characteristic
518	C₂³×C₄	C₂⁴	1	1	yes	characteristic
519	C₂³×C₄	C₂⁴	1	1	yes	characteristic
520	C₂³×C₄	C₂⁴	1	1	yes	characteristic
521	C₂³×C₄	C₂⁴	1	1	yes	characteristic
522	C₂³×C₄	C₂⁴	1	2	yes	—
523	C₂³×C₄	C₂⁴	1	2	yes	—
524	C₂³×C₄	C₂⁴	1	2	yes	—
525	C₂³×C₄	C₂⁴	1	2	yes	—
526	C₂³×C₄	C₂⁴	1	2	yes	—
527	C₂³×C₄	C₂⁴	1	2	yes	—
528	C₂³×C₄	C₂⁴	1	2	yes	—
529	C₂³×C₄	C₂⁴	1	2	yes	—
530	C₂³×C₄	C₂⁴	1	2	yes	—
531	#126	C₂²×C₄	1	32	yes	—
532	#126	C₂²×C₄	1	32	yes	—
533	#126	C₂²×C₄	1	32	yes	—
534	#126	C₂²×C₄	1	32	yes	—
535	#124	C₂²×C₄	1	32	yes	—
536	#124	C₂²×C₄	1	32	yes	—
537	#123	C₂²×C₄	1	32	yes	—
538	#123	C₂²×C₄	1	32	yes	—
539	#123	C₂²×C₄	1	32	yes	—
540	#123	C₂²×C₄	1	32	yes	—
541	#123	C₂²×C₄	1	32	yes	—
542	#123	C₂²×C₄	1	32	yes	—
543	C₂²⋊Q₈	C₂²×C₄	1	32	yes	—
544	C₂²⋊Q₈	C₂²×C₄	1	32	yes	—
545	C₂²⋊Q₈	C₂²×C₄	1	32	yes	—
546	C₂²⋊Q₈	C₂²×C₄	1	32	yes	—
547	#120	C₂²×C₄	1	32	yes	—
548	#120	C₂²×C₄	1	32	yes	—
549	C₄×Q₈	—	8	8	no	—
550	C₄×D₄	—	4	16	no	—
551	C₄×D₄	—	8	8	no	—
552	C₄×D₄	C₂²×C₄	1	16	yes	—
553	C₄×D₄	C₂²×C₄	1	16	yes	—
554	C₄×D₄	C₂²×C₄	1	32	yes	—
555	C₄×D₄	C₂²×C₄	1	16	yes	—
556	C₄×D₄	C₂²×C₄	1	32	yes	—
557	C₄×D₄	C₂²×C₄	1	16	yes	—
558	#117	—	4	8	no	—
559	#117	—	4	8	no	—
560	#117	—	4	8	no	—
561	#117	—	4	8	no	—
562	#117	—	8	4	no	—
563	#117	—	8	4	no	—
564	#117	—	8	4	no	—
565	#117	—	8	4	no	—
566	#117	C₂²×C₄	1	16	yes	—
567	#117	C₂²×C₄	1	16	yes	—
568	#117	C₂²×C₄	1	32	yes	—
569	#117	C₂²×C₄	1	16	yes	—
570	#117	C₂²×C₄	1	16	yes	—
571	#117	C₂²×C₄	1	32	yes	—
572	C₂×C₄⋊C₄	—	4	8	no	—
573	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	—
574	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	—
575	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	—
576	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	—
577	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	—
578	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	—
579	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	—
580	C₂×C₄⋊C₄	C₂²×C₄	1	8	yes	—
581	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
582	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
583	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
584	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
585	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
586	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
587	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
588	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
589	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
590	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
591	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
592	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
593	C₂×C₄⋊C₄	C₂⁴	1	8	yes	—
594	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
595	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
596	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
597	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
598	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
599	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
600	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
601	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
602	C₂×C₄⋊C₄	C₂⁴	1	2	yes	—
603	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
604	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
605	C₂×C₂²⋊C₄	—	4	8	no	—
606	C₂×C₂²⋊C₄	—	4	8	no	—
607	C₂×C₂²⋊C₄	—	4	8	no	—
608	C₂×C₂²⋊C₄	—	4	8	no	—
609	C₂×C₂²⋊C₄	—	4	8	no	—
610	C₂×C₂²⋊C₄	—	8	4	no	—
611	C₂×C₂²⋊C₄	—	8	4	no	—
612	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
613	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
614	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
615	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
616	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
617	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
618	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
619	C₂×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
620	C₂×C₂²⋊C₄	C₂²×C₄	1	32	yes	—
621	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
622	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
623	C₂×C₂²⋊C₄	C₂²×C₄	1	16	yes	—
624	C₂×C₂²⋊C₄	C₂²×C₄	1	32	yes	—
625	C₂×C₂²⋊C₄	C₂²×C₄	1	16	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	C₂⁴	1	4	yes	—
633	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
634	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
635	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
636	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
637	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
638	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
639	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
640	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
641	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
642	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
643	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
644	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
645	C₂×C₂²⋊C₄	C₂⁴	1	8	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	8	yes	—
651	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
652	C₂×C₂²⋊C₄	C₂⁴	1	8	yes	—
653	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
657	C₂×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
659	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
660	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
661	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
662	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
663	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
664	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
665	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
666	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
667	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
668	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
669	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
670	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
671	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
672	C₂×C₂²⋊C₄	C₂⁴	1	2	yes	—
673	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
674	C₂×C₂²⋊C₄	C₂⁴	1	4	yes	—
675	C₂×C₄²	—	8	4	no	—
676	C₂×C₄²	—	8	4	no	—
677	C₂×C₄²	C₂²×C₄	1	8	yes	—
678	C₂×C₄²	C₂²×C₄	1	8	yes	—
679	C₂×C₄²	C₂²×C₄	1	8	yes	—
680	C₂×C₄²	C₂⁴	1	4	yes	—
681	C₂×C₄²	C₂⁴	1	8	yes	—
682	C₂×C₄²	C₂⁴	1	8	yes	—
683	C₂×C₄²	C₂⁴	1	8	yes	—
684	C₂×C₄²	C₂⁴	1	4	yes	—
685	C₂×C₄²	C₂⁴	1	8	yes	—
686	C₂×C₄²	C₂⁴	1	8	yes	—
687	C₂×C₄²	C₂⁴	1	8	yes	—
688	C₂×C₄²	C₂⁴	1	4	yes	—
689	C₂×C₄²	C₂⁴	1	8	yes	—
690	C₂×C₄²	C₂⁴	1	8	yes	—
691	C₂×C₄²	C₂⁴	1	8	yes	—
692	C₂×C₄²	C₂⁴	1	4	yes	—
693	C₂×C₄²	C₂⁴	1	2	yes	—
694	C₂×C₄²	C₂⁴	1	2	yes	—
695	C₂×C₄²	C₂⁴	1	2	yes	—
696	C₂×C₄²	C₂⁴	1	2	yes	—
697	C₂×C₄²	C₂⁴	1	2	yes	—
698	C₂×C₄²	C₂⁴	1	2	yes	—
699	#95	C₂⁴	1	4	yes	—
700	#95	C₂⁴	1	4	yes	—
701	#95	C₂⁴	1	4	yes	—
702	#95	C₂⁴	1	4	yes	—
703	#95	C₂⁴	1	8	yes	—
704	#95	C₂⁴	1	8	yes	—
705	#95	C₂⁴	1	4	yes	—
706	#95	C₂⁴	1	8	yes	—
707	#95	C₂⁴	1	8	yes	—
708	#95	C₂⁴	1	4	yes	—
709	#95	C₂⁴	1	4	yes	—
710	#95	C₂⁴	1	8	yes	—
711	#95	C₂⁴	1	8	yes	—
712	#95	C₂⁴	1	8	yes	—
713	#95	C₂⁴	1	8	yes	—
714	#95	C₂⁴	1	8	yes	—
715	#95	C₂⁴	1	8	yes	—
716	#95	C₂⁴	1	8	yes	—
717	#95	C₂⁴	1	8	yes	—
718	#95	C₂⁴	1	8	yes	—
719	#95	C₂⁴	1	8	yes	—
720	#95	C₂⁴	1	4	yes	—
721	#95	C₂⁴	1	8	yes	—
722	#95	C₂⁴	1	8	yes	—
723	#95	C₂⁴	1	8	yes	—
724	#95	C₂⁴	1	8	yes	—
725	C₂⁴	—	2	4	no	—
726	C₂⁴	—	2	4	no	—
727	C₂⁴	—	2	4	no	—
728	C₂⁴	—	2	4	no	—
729	C₂⁴	—	2	8	no	—
730	C₂⁴	—	2	4	no	—
731	C₂⁴	—	4	2	no	—
732	C₂⁴	—	4	2	no	—
733	C₂⁴	—	4	2	no	—
734	C₂⁴	—	4	4	no	—
735	C₂⁴	—	4	4	no	—
736	C₂⁴	—	4	2	no	—
737	C₂⁴	—	4	2	no	—
738	C₂⁴	—	4	2	no	—
739	C₂⁴	—	4	16	no	—
740	C₂⁴	—	4	16	no	—
741	C₂⁴	—	4	4	no	—
742	C₂⁴	—	4	2	no	—
743	C₂⁴	—	4	4	no	—
744	C₂⁴	—	4	4	no	—
745	C₂⁴	—	8	8	no	—
746	C₂⁴	—	8	32	no	—
747	C₂⁴	C₂³×C₄	1	4	yes	—
748	C₂⁴	C₂³×C₄	1	4	yes	—
749	C₂⁴	C₂³×C₄	1	8	yes	—
750	C₂⁴	C₂³×C₄	1	4	yes	—
751	C₂⁴	C₂³×C₄	1	4	yes	—
752	C₂⁴	C₂³×C₄	1	8	yes	—
753	C₂⁴	C₂⁵	1	2	yes	—
754	C₂⁴	C₂⁵	1	1	yes	characteristic
755	C₂⁴	C₂⁵	1	2	yes	—
756	C₂⁴	C₂⁵	1	2	yes	—
757	C₂⁴	C₂⁵	1	1	yes	characteristic
758	C₂⁴	C₂⁵	1	1	yes	characteristic
759	C₂×Q₈	—	4	8	no	—
760	C₂×Q₈	—	8	8	no	—
761	C₂×Q₈	C₂³×C₄	1	16	yes	—
762	C₂×D₄	—	2	8	no	—
763	C₂×D₄	—	4	8	no	—
764	C₂×D₄	—	4	16	no	—
765	C₂×D₄	—	4	4	no	—
766	C₂×D₄	—	4	4	no	—
767	C₂×D₄	—	4	4	no	—
768	C₂×D₄	—	4	16	no	—
769	C₂×D₄	—	8	8	no	—
770	C₂×D₄	C₂³×C₄	1	8	yes	—
771	C₂×D₄	C₂³×C₄	1	16	yes	—
772	C₂×D₄	C₂³×C₄	1	8	yes	—
773	C₂×D₄	C₂³×C₄	1	16	yes	—
774	C₂²×C₄	—	2	8	no	—
775	C₂²×C₄	—	2	4	no	—
776	C₂²×C₄	—	2	4	no	—
777	C₂²×C₄	—	2	4	no	—
778	C₂²×C₄	—	2	16	no	—
779	C₂²×C₄	—	4	4	no	—
780	C₂²×C₄	—	4	4	no	—
781	C₂²×C₄	—	4	4	no	—
782	C₂²×C₄	—	4	4	no	—
783	C₂²×C₄	—	4	4	no	—
784	C₂²×C₄	—	4	4	no	—
785	C₂²×C₄	—	4	16	no	—
786	C₂²×C₄	—	4	16	no	—
787	C₂²×C₄	—	4	4	no	—
788	C₂²×C₄	—	4	2	no	—
789	C₂²×C₄	—	4	4	no	—
790	C₂²×C₄	—	4	4	no	—
791	C₂²×C₄	—	4	2	no	—
792	C₂²×C₄	—	4	2	no	—
793	C₂²×C₄	—	4	2	no	—
794	C₂²×C₄	—	4	2	no	—
795	C₂²×C₄	—	4	2	no	—
796	C₂²×C₄	—	4	2	no	—
797	C₂²×C₄	—	4	2	no	—
798	C₂²×C₄	—	4	8	no	—
799	C₂²×C₄	—	4	8	no	—
800	C₂²×C₄	—	4	8	no	—
801	C₂²×C₄	—	4	8	no	—
802	C₂²×C₄	—	4	8	no	—
803	C₂²×C₄	—	4	8	no	—
804	C₂²×C₄	—	4	8	no	—
805	C₂²×C₄	—	4	8	no	—
806	C₂²×C₄	—	8	8	no	—
807	C₂²×C₄	—	8	8	no	—
808	C₂²×C₄	—	8	8	no	—
809	C₂²×C₄	C₂³×C₄	1	4	yes	—
810	C₂²×C₄	C₂³×C₄	1	4	yes	—
811	C₂²×C₄	C₂³×C₄	1	4	yes	—
812	C₂²×C₄	C₂³×C₄	1	8	yes	—
813	C₂²×C₄	C₂³×C₄	1	4	yes	—
814	C₂²×C₄	C₂³×C₄	1	4	yes	—
815	C₂²×C₄	C₂³×C₄	1	4	yes	—
816	C₂²×C₄	C₂³×C₄	1	4	yes	—
817	C₂²×C₄	C₂³×C₄	1	4	yes	—
818	C₂²×C₄	C₂³×C₄	1	4	yes	—
819	C₂²×C₄	C₂³×C₄	1	4	yes	—
820	C₂²×C₄	C₂³×C₄	1	4	yes	—
821	C₂²×C₄	C₂³×C₄	1	8	yes	—
822	C₂²×C₄	C₂³×C₄	1	8	yes	—
823	C₂²×C₄	C₂³×C₄	1	8	yes	—
824	C₂²×C₄	C₂³×C₄	1	8	yes	—
825	C₂²×C₄	C₂³×C₄	1	8	yes	—
826	C₂²×C₄	C₂³×C₄	1	8	yes	—
827	C₂²×C₄	C₂³×C₄	1	8	yes	—
828	C₂²×C₄	C₂³×C₄	1	8	yes	—
829	C₂²×C₄	C₂³×C₄	1	8	yes	—
830	C₂²×C₄	C₂⁵	1	8	yes	—
831	C₂²×C₄	C₂⁵	1	8	yes	—
832	C₂²×C₄	C₂⁵	1	8	yes	—
833	C₂²×C₄	C₂⁵	1	8	yes	—
834	C₂²×C₄	C₂⁵	1	1	yes	characteristic
835	C₂²×C₄	C₂⁵	1	2	yes	—
836	C₂²×C₄	C₂⁵	1	1	yes	characteristic
837	C₂²×C₄	C₂⁵	1	2	yes	—
838	C₂²×C₄	C₂⁵	1	2	yes	—
839	C₂²×C₄	C₂⁵	1	2	yes	—
840	C₂²×C₄	C₂⁵	1	2	yes	—
841	C₂²×C₄	C₂⁵	1	2	yes	—
842	C₂²×C₄	C₂⁵	1	2	yes	—
843	C₂²×C₄	C₂⁵	1	1	yes	characteristic
844	C₂²×C₄	C₂⁵	1	2	yes	—
845	C₂²×C₄	C₂⁵	1	2	yes	—
846	C₂²×C₄	C₂⁵	1	1	yes	characteristic
847	C₄⋊C₄	—	4	8	no	—
848	C₄⋊C₄	—	4	4	no	—
849	C₄⋊C₄	—	4	4	no	—
850	C₄⋊C₄	—	4	8	no	—
851	C₄⋊C₄	—	4	4	no	—
852	C₄⋊C₄	—	4	8	no	—
853	C₄⋊C₄	—	4	4	no	—
854	C₄⋊C₄	—	4	8	no	—
855	C₄⋊C₄	—	4	8	no	—
856	C₄⋊C₄	—	4	8	no	—
857	C₄⋊C₄	—	4	8	no	—
858	C₄⋊C₄	—	4	8	no	—
859	C₄⋊C₄	—	4	8	no	—
860	C₄⋊C₄	C₂³×C₄	1	16	yes	—
861	C₄⋊C₄	C₂³×C₄	1	8	yes	—
862	C₄⋊C₄	C₂³×C₄	1	8	yes	—
863	C₄⋊C₄	C₂³×C₄	1	8	yes	—
864	C₄⋊C₄	C₂³×C₄	1	8	yes	—
865	C₄⋊C₄	C₂³×C₄	1	16	yes	—
866	C₄⋊C₄	C₂³×C₄	1	16	yes	—
867	C₄⋊C₄	C₂³×C₄	1	8	yes	—
868	C₄⋊C₄	C₂³×C₄	1	8	yes	—
869	C₄⋊C₄	C₂³×C₄	1	16	yes	—
870	C₄⋊C₄	C₂³×C₄	1	16	yes	—
871	C₂²⋊C₄	—	2	8	no	—
872	C₂²⋊C₄	—	2	8	no	—
873	C₂²⋊C₄	—	2	8	no	—
874	C₂²⋊C₄	—	2	8	no	—
875	C₂²⋊C₄	—	2	16	no	—
876	C₂²⋊C₄	—	4	4	no	—
877	C₂²⋊C₄	—	4	8	no	—
878	C₂²⋊C₄	—	4	8	no	—
879	C₂²⋊C₄	—	4	8	no	—
880	C₂²⋊C₄	—	4	4	no	—
881	C₂²⋊C₄	—	4	4	no	—
882	C₂²⋊C₄	—	4	8	no	—
883	C₂²⋊C₄	—	4	4	no	—
884	C₂²⋊C₄	—	4	4	no	—
885	C₂²⋊C₄	—	4	4	no	—
886	C₂²⋊C₄	—	4	4	no	—
887	C₂²⋊C₄	—	4	8	no	—
888	C₂²⋊C₄	—	4	4	no	—
889	C₂²⋊C₄	—	4	8	no	—
890	C₂²⋊C₄	—	4	8	no	—
891	C₂²⋊C₄	—	4	8	no	—
892	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
893	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
894	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
895	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
896	C₂²⋊C₄	C₂³×C₄	1	4	yes	—
897	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
898	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
899	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
900	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
901	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
902	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
903	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
904	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
905	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
906	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
907	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
908	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
909	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
910	C₂²⋊C₄	C₂³×C₄	1	8	yes	—
911	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
912	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
913	C₂²⋊C₄	C₂³×C₄	1	16	yes	—
914	C₄²	—	4	4	no	—
915	C₄²	—	4	4	no	—
916	C₄²	—	4	4	no	—
917	C₄²	—	4	8	no	—
918	C₄²	—	4	8	no	—
919	C₄²	—	4	8	no	—
920	C₄²	—	4	8	no	—
921	C₄²	—	4	8	no	—
922	C₄²	—	4	8	no	—
923	C₄²	—	4	4	no	—
924	C₄²	—	4	8	no	—
925	C₄²	—	4	8	no	—
926	C₄²	—	4	8	no	—
927	C₄²	C₂³×C₄	1	8	yes	—
928	C₄²	C₂³×C₄	1	8	yes	—
929	C₄²	C₂³×C₄	1	8	yes	—
930	C₄²	C₂³×C₄	1	8	yes	—
931	C₄²	C₂³×C₄	1	8	yes	—
932	C₄²	C₂³×C₄	1	8	yes	—
933	C₂³	—	2	2	no	—
934	C₂³	—	2	2	no	—
935	C₂³	—	2	2	no	—
936	C₂³	—	2	2	no	—
937	C₂³	—	2	2	no	—
938	C₂³	—	2	4	no	—
939	C₂³	—	2	4	no	—
940	C₂³	—	2	4	no	—
941	C₂³	—	2	4	no	—
942	C₂³	—	2	4	no	—
943	C₂³	—	2	2	no	—
944	C₂³	—	2	4	no	—
945	C₂³	—	2	2	no	—
946	C₂³	—	2	4	no	—
947	C₂³	—	2	4	no	—
948	C₂³	—	2	4	no	—
949	C₂³	—	2	8	no	—
950	C₂³	—	2	8	no	—
951	C₂³	—	2	8	no	—
952	C₂³	—	2	8	no	—
953	C₂³	—	2	8	no	—
954	C₂³	—	2	16	no	—
955	C₂³	—	4	4	no	—
956	C₂³	—	4	4	no	—
957	C₂³	—	4	4	no	—
958	C₂³	—	4	4	no	—
959	C₂³	—	4	4	no	—
960	C₂³	—	4	4	no	—
961	C₂³	—	4	4	no	—
962	C₂³	—	4	8	no	—
963	C₂³	—	4	8	no	—
964	C₂³	—	4	8	no	—
965	C₂³	—	4	8	no	—
966	C₂³	—	4	8	no	—
967	C₂³	—	4	16	no	—
968	C₂³	—	4	16	no	—
969	C₂³	—	8	8	no	—
970	C₂³	—	8	16	no	—
971	C₂³	—	8	8	no	—
972	C₂³	—	8	16	no	—
973	C₂³	—	8	64	no	—
974	C₂³	C₂⁴×C₄	1	4	yes	—
975	C₂³	C₂⁴×C₄	1	2	yes	—
976	C₂³	C₂⁴×C₄	1	4	yes	—
977	C₂³	C₂⁴×C₄	1	4	yes	—
978	C₂³	C₂⁴×C₄	1	2	yes	—
979	C₂³	C₂⁴×C₄	1	2	yes	—
980	C₂³	#585	1	4	yes	—
981	C₂³	#585	1	4	yes	—
982	C₂³	C₂⁶	1	1	yes	characteristic
983	Q₈	—	4	16	no	—
984	D₄	—	2	16	no	—
985	D₄	—	4	16	no	—
986	D₄	—	4	8	no	—
987	D₄	—	4	16	no	—
988	C₂×C₄	—	2	2	no	—
989	C₂×C₄	—	2	2	no	—
990	C₂×C₄	—	2	4	no	—
991	C₂×C₄	—	2	4	no	—
992	C₂×C₄	—	2	4	no	—
993	C₂×C₄	—	2	4	no	—
994	C₂×C₄	—	2	2	no	—
995	C₂×C₄	—	2	2	no	—
996	C₂×C₄	—	2	4	no	—
997	C₂×C₄	—	2	2	no	—
998	C₂×C₄	—	2	4	no	—
999	C₂×C₄	—	2	4	no	—
1000	C₂×C₄	—	2	4	no	—
1001	C₂×C₄	—	2	2	no	—
1002	C₂×C₄	—	2	8	no	—
1003	C₂×C₄	—	2	8	no	—
1004	C₂×C₄	—	2	16	no	—
1005	C₂×C₄	—	2	8	no	—
1006	C₂×C₄	—	2	8	no	—
1007	C₂×C₄	—	2	8	no	—
1008	C₂×C₄	—	2	8	no	—
1009	C₂×C₄	—	2	8	no	—
1010	C₂×C₄	—	2	8	no	—
1011	C₂×C₄	—	2	8	no	—
1012	C₂×C₄	—	2	8	no	—
1013	C₂×C₄	—	2	8	no	—
1014	C₂×C₄	—	2	8	no	—
1015	C₂×C₄	—	2	8	no	—
1016	C₂×C₄	—	2	8	no	—
1017	C₂×C₄	—	2	8	no	—
1018	C₂×C₄	—	4	4	no	—
1019	C₂×C₄	—	4	4	no	—
1020	C₂×C₄	—	4	8	no	—
1021	C₂×C₄	—	4	8	no	—
1022	C₂×C₄	—	4	8	no	—
1023	C₂×C₄	—	4	4	no	—
1024	C₂×C₄	—	4	4	no	—
1025	C₂×C₄	—	4	8	no	—
1026	C₂×C₄	—	4	8	no	—
1027	C₂×C₄	—	4	8	no	—
1028	C₂×C₄	—	4	8	no	—
1029	C₂×C₄	—	4	8	no	—
1030	C₂×C₄	—	4	8	no	—
1031	C₂×C₄	—	4	4	no	—
1032	C₂×C₄	—	4	4	no	—
1033	C₂×C₄	—	4	4	no	—
1034	C₂×C₄	—	4	4	no	—
1035	C₂×C₄	—	8	16	no	—
1036	C₂×C₄	—	8	16	no	—
1037	C₂×C₄	—	16	8	no	—
1038	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1039	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1040	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1041	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1042	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1043	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1044	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1045	C₂×C₄	C₂⁴×C₄	1	2	yes	—
1046	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1047	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1048	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1049	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1050	C₂×C₄	C₂⁴×C₄	1	4	yes	—
1051	C₂²	—	2	2	no	—
1052	C₂²	—	2	2	no	—
1053	C₂²	—	2	2	no	—
1054	C₂²	—	2	2	no	—
1055	C₂²	—	2	8	no	—
1056	C₂²	—	2	8	no	—
1057	C₂²	—	2	2	no	—
1058	C₂²	—	2	4	no	—
1059	C₂²	—	2	4	no	—
1060	C₂²	—	2	4	no	—
1061	C₂²	—	2	2	no	—
1062	C₂²	—	2	4	no	—
1063	C₂²	—	2	4	no	—
1064	C₂²	—	2	4	no	—
1065	C₂²	—	2	4	no	—
1066	C₂²	—	2	2	no	—
1067	C₂²	—	2	4	no	—
1068	C₂²	—	2	4	no	—
1069	C₂²	—	4	16	no	—
1070	C₂²	—	4	16	no	—
1071	C₂²	—	4	8	no	—
1072	C₂²	—	4	8	no	—
1073	C₂²	—	4	4	no	—
1074	C₂²	—	4	8	no	—
1075	C₂²	—	8	8	no	—
1076	C₂²	—	8	8	no	—
1077	C₂²	—	8	16	no	—
1078	C₂²	—	8	16	no	—
1079	C₂²	#3428	1	4	yes	—
1080	C₂²	#3428	1	4	yes	—
1081	C₂²	C₂⁵×C₄	1	1	yes	characteristic
1082	C₂²	C₂×#585	1	2	yes	—
1083	C₂²	C₂×#585	1	2	yes	—
1084	C₂²	H(7,𝔽₂)	1	2	yes	—
1085	C₄	—	2	2	no	—
1086	C₄	—	2	4	no	—
1087	C₄	—	2	4	no	—
1088	C₄	—	2	2	no	—
1089	C₄	—	2	4	no	—
1090	C₄	—	2	4	no	—
1091	C₄	—	2	4	no	—
1092	C₄	—	2	4	no	—
1093	C₄	—	2	2	no	—
1094	C₄	—	2	2	no	—
1095	C₄	—	2	4	no	—
1096	C₄	—	2	4	no	—
1097	C₄	—	2	4	no	—
1098	C₄	—	4	8	no	—
1099	C₄	—	4	8	no	—
1100	C₄	—	4	8	no	—
1101	C₄	—	4	8	no	—
1102	C₂	—	2	4	no	—
1103	C₂	—	2	4	no	—
1104	C₂	—	4	2	no	—
1105	C₂	—	4	4	no	—
1106	C₂	—	4	4	no	—
1107	C₂	—	4	4	no	—
1108	C₂	C₂×#3428	1	1	yes	characteristic
1109	C₂	C₂×#3428	1	1	yes	characteristic
1110	C₂	#62652	1	1	yes	characteristic
1111	C₂	#62933	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. #34508	C₂	semidirect
3. #34504	C₂	semidirect
4. #34479	C₂	semidirect
5. #34381	C₂	semidirect
6. #34377	C₂	semidirect
7. #34376	C₂	semidirect
8. #34370	C₂	semidirect
9. #34357	C₂	semidirect
11. #34315	C₂	semidirect
12. #34247	C₂	semidirect
13. #34245	C₂	semidirect
14. #34238	C₂	semidirect
15. #34186	C₂	semidirect
16. #34180	C₂	semidirect
17. #34179	C₂	semidirect
18. #34176	C₂	semidirect
19. #34176	C₂	semidirect
20. #34126	C₂	semidirect
21. #34057	C₂	semidirect
22. #34048	C₂	semidirect
23. C₂×#2312	C₂	semidirect
24. C₂×#551	C₄	semidirect
44. #2383	C₂²	semidirect
45. #2379	C₂²	semidirect
46. #2378	C₂²	semidirect
47. #2376	C₂²	semidirect
48. #2376	C₂²	semidirect
50. #2374	C₂²	semidirect
51. #2374	C₂²	semidirect
52. #2373	C₂²	semidirect
53. #2373	C₂²	semidirect
54. #2373	C₂²	semidirect
55. #2368	C₂²	semidirect
56. #2367	C₂²	semidirect
57. #2362	C₂²	semidirect
58. #2362	C₂²	semidirect
59. #2359	C₂²	semidirect
60. #2359	C₂²	semidirect
62. #2357	C₂²	semidirect
63. #2357	C₂²	semidirect
64. #2354	C₂²	semidirect
65. #2353	C₂²	semidirect
66. #2353	C₂²	semidirect
67. #2349	C₂²	semidirect
68. #2347	C₂²	semidirect
69. #2347	C₂²	semidirect
70. #2346	C₂²	semidirect
71. #2346	C₂²	semidirect
72. #2345	C₂²	semidirect
73. #2345	C₂²	semidirect
74. #2345	C₂²	semidirect
75. #2344	C₂²	semidirect
76. #2344	C₂²	semidirect
77. #2343	C₂²	semidirect
78. #2343	C₂²	semidirect
85. #2342	C₂²	semidirect
86. #2342	C₂²	semidirect
87. #2342	C₂²	semidirect
88. #2342	C₂²	semidirect
89. #2342	C₂²	semidirect
90. #2342	C₂²	semidirect
91. #2342	C₂²	semidirect
92. #2342	C₂²	semidirect
93. Q₈×C₂²⋊C₄	C₂²	semidirect
96. #2337	C₂²	semidirect
97. #2335	C₂²	semidirect
98. #2335	C₂²	semidirect
99. #2335	C₂²	semidirect
100. #2335	C₂²	semidirect
101. #2334	C₂²	semidirect
102. #2334	C₂²	semidirect
103. #2334	C₂²	semidirect
104. #2332	C₂²	semidirect
105. #2332	C₂²	semidirect
106. #2326	C₂²	semidirect
107. #2323	C₂²	semidirect
108. #2322	C₂²	semidirect
111. #2318	C₂²	semidirect
112. #2317	C₂²	semidirect
113. #2316	C₂²	semidirect
115. #2315	C₂²	semidirect
116. #2315	C₂²	semidirect
117. #2314	C₂²	semidirect
118. #2314	C₂²	semidirect
119. #2314	C₂²	semidirect
120. #2313	C₂²	semidirect
121. #2313	C₂²	semidirect
122. #2313	C₂²	semidirect
133. #2312	C₂²	semidirect
134. #2312	C₂²	semidirect
135. #2312	C₂²	semidirect
136. #2312	C₂²	semidirect
139. C₄×#126	C₂²	semidirect
140. C₄×C₂²⋊Q₈	C₂²	semidirect
141. C₄×#123	C₂²	semidirect
142. #2298	C₂²	semidirect
143. #2293	C₂²	semidirect
144. #2290	C₂²	semidirect
145. #2290	C₂²	semidirect
146. #2290	C₂²	semidirect
147. C₂×#388	C₂²	semidirect
148. #2285	C₂²	semidirect
149. #2285	C₂²	semidirect
150. #2283	C₂²	semidirect
151. #2283	C₂²	semidirect
152. #2283	C₂²	semidirect
159. #2280	C₂²	semidirect
163. #2274	C₂²	semidirect
164. #2274	C₂²	semidirect
165. #2274	C₂²	semidirect
167. #2273	C₂²	semidirect
168. C₄²×D₄	C₂²	semidirect
169. C₄×#117	C₂²	semidirect
171. C₂×C₄×C₂²⋊C₄	C₂²	semidirect
182. #551	C₂×C₄	semidirect
183. #551	C₂×C₄	semidirect
184. #551	C₂×C₄	semidirect
185. #551	C₂×C₄	semidirect
186. C₂×#126	C₂×C₄	semidirect
187. C₂×#126	C₂×C₄	semidirect
192. C₂×#124	C₂×C₄	semidirect
195. C₂×#123	C₂×C₄	semidirect
196. C₂×#123	C₂×C₄	semidirect
197. C₂×#123	C₂×C₄	semidirect
204. C₂×C₂²⋊Q₈	C₂×C₄	semidirect
205. C₂×C₂²⋊Q₈	C₂×C₄	semidirect
213. C₂×C₄×Q₈	C₂³	semidirect
214. C₂×C₄×D₄	C₂×C₄	semidirect
215. C₂×C₄×D₄	C₂×C₄	semidirect
224. C₂×#117	C₂×C₄	semidirect
225. C₂×#117	C₂×C₄	semidirect
239. C₂×#117	C₂³	semidirect
249. C₂²×C₂²⋊C₄	C₂×C₄	semidirect
250. C₂²×C₂²⋊C₄	C₂×C₄	semidirect
282. C₂²×C₄²	C₂³	semidirect
283. #391	C₂³	semidirect
284. #391	C₂³	semidirect
285. #391	C₂³	semidirect
290. #389	C₂³	semidirect
291. #389	C₂³	semidirect
292. #389	C₂³	semidirect
293. #389	C₂³	semidirect
294. #389	C₂³	semidirect
295. #389	C₂³	semidirect
296. #389	C₂³	semidirect
325. #388	C₂³	semidirect
326. #388	C₂³	semidirect
327. #388	C₂³	semidirect
328. #388	C₂³	semidirect
329. #388	C₂³	semidirect
330. #388	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
346. #387	C₂³	semidirect
361. #385	C₂³	semidirect
362. #385	C₂³	semidirect
363. #385	C₂³	semidirect
364. #385	C₂³	semidirect
365. #384	C₂³	semidirect
366. #384	C₂³	semidirect
367. #383	C₂³	semidirect
368. #383	C₂³	semidirect
369. #383	C₂³	semidirect
370. #382	C₂³	semidirect
371. #382	C₂³	semidirect
372. #382	C₂³	semidirect
373. #382	C₂³	semidirect
374. #382	C₂³	semidirect
382. #381	C₂³	semidirect
403. #380	C₂³	semidirect
415. C₄×C₄⋊C₄	C₂³	semidirect
416. C₄×C₄⋊C₄	C₂³	semidirect
417. C₄×C₄⋊C₄	C₂³	semidirect
418. C₄×C₄⋊C₄	C₂³	semidirect
419. C₄×C₄⋊C₄	C₂³	semidirect
420. C₄×C₄⋊C₄	C₂³	semidirect
421. C₄×C₄⋊C₄	C₂³	semidirect
422. C₄×C₄⋊C₄	C₂³	semidirect
423. C₄×C₄⋊C₄	C₂³	semidirect
424. C₄×C₄⋊C₄	C₂³	semidirect
425. C₄×C₄⋊C₄	C₂³	semidirect
426. C₄×C₄⋊C₄	C₂³	semidirect
427. C₄×C₄⋊C₄	C₂³	semidirect
428. C₄×C₄⋊C₄	C₂³	semidirect
429. C₄×C₄⋊C₄	C₂³	semidirect
430. C₄×C₄⋊C₄	C₂³	semidirect
431. C₄×C₄⋊C₄	C₂³	semidirect
432. C₄×C₄⋊C₄	C₂³	semidirect
461. C₄×C₂²⋊C₄	C₂³	semidirect
462. C₄×C₂²⋊C₄	C₂³	semidirect
463. C₄×C₂²⋊C₄	C₂³	semidirect
464. C₄×C₂²⋊C₄	C₂³	semidirect
465. C₄×C₂²⋊C₄	C₂³	semidirect
466. #376	C₂³	semidirect
467. #376	C₂³	semidirect
468. #376	C₂³	semidirect
469. #376	C₂³	semidirect
472. C₂×#95	C₂³	semidirect
473. C₄³	C₂³	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
#34508	2
#34504	2
#34479	2
#34381	2
#34377	2
#34376	2
#34370	2
#34357	2
#34356	2
#34315	2
#34247	2
#34245	2
#34238	2
#34186	2
#34180	2
#34179	2
#34176	2
#34126	2
#34057	2
#34048	2
C₂×#2312	2