Subgroups — #72339535

Order 1024.

At least 6358 conjugacy classes of subgroups; only the 663 normal subgroups are shown.

The subgroup lattice has 656 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10583048	C₂	1	1	yes	maximal, characteristic, complemented
2	#6573500	C₂	1	1	yes	maximal, characteristic, complemented
3	#6573499	C₂	1	1	yes	maximal, characteristic, complemented
4	#6573485	C₂	1	1	yes	maximal, characteristic, complemented
5	#6542240	C₂	1	1	yes	maximal, characteristic, complemented
6	#6533135	C₂	1	1	yes	maximal, characteristic, complemented
7	#348128	C₂	1	1	yes	maximal, characteristic, complemented
8	#346558	C₂	1	1	yes	maximal, characteristic, complemented
9	#346550	C₂	1	1	yes	maximal, characteristic, complemented
10	#301920	C₂	1	1	yes	maximal, characteristic, complemented
11	#301918	C₂	1	1	yes	maximal, characteristic, complemented
12	#301862	C₂	1	1	yes	maximal, characteristic, complemented
13	#267423	C₂	1	1	yes	maximal, characteristic, complemented
14	#267419	C₂	1	1	yes	maximal, characteristic, complemented
15	#267415	C₂	1	1	yes	maximal, characteristic, complemented
16	#267411	C₂	1	1	yes	maximal, characteristic, complemented
17	#267375	C₂	1	1	yes	maximal, characteristic, complemented
18	#267371	C₂	1	1	yes	maximal, characteristic, complemented
19	#265272	C₂	1	1	yes	maximal, characteristic, complemented
20	#265272	C₂	1	1	yes	maximal, characteristic, complemented
21	#265238	C₂	1	1	yes	maximal, characteristic, complemented
22	#248554	C₂	1	1	yes	maximal, characteristic, complemented
23	#248551	C₂	1	1	yes	maximal, characteristic, complemented
24	#248460	C₂	1	1	yes	maximal, characteristic, complemented
25	#248458	C₂	1	1	yes	maximal, characteristic, complemented
26	#248457	C₂	1	1	yes	maximal, characteristic, complemented
27	#248455	C₂	1	1	yes	maximal, characteristic, complemented
28	D₈×#99	C₂	1	1	yes	maximal, characteristic, complemented
29	#220264	C₂	1	1	yes	maximal, characteristic, complemented
30	#220264	C₂	1	1	yes	maximal, characteristic, complemented
31	#208830	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
33	#62892	C₂²	1	1	yes	characteristic
34	#62892	C₂²	1	1	yes	characteristic, complemented
35	#62253	C₂²	1	1	yes	characteristic, complemented
36	#62253	C₂²	1	1	yes	characteristic, complemented
37	#62244	C₂²	1	1	yes	characteristic, complemented
38	#61571	C₂²	1	1	yes	characteristic
39	#61571	C₂²	1	1	yes	characteristic, complemented
40	#61561	C₂²	1	1	yes	characteristic
41	#61561	C₂²	1	1	yes	characteristic, complemented
42	#61559	C₂²	1	1	yes	characteristic
43	#61559	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₄×D₈	C₂²	1	1	yes	characteristic
45	C₂×#3264	C₂²	1	1	yes	characteristic
46	C₂×#3264	C₂²	1	1	yes	characteristic
47	#60310	C₂²	1	1	yes	characteristic, complemented
48	#36213	C₂²	1	1	yes	characteristic, complemented
49	#36212	C₂²	1	1	yes	characteristic, complemented
50	#36212	C₂²	1	1	yes	characteristic, complemented
51	#36152	C₂²	1	1	yes	characteristic, complemented
52	D₄×#120	C₂²	1	1	yes	characteristic, complemented
53	D₄×#120	C₂²	1	1	yes	characteristic, complemented
54	#32936	C₂²	1	1	yes	characteristic, complemented
55	#32935	C₂²	1	1	yes	characteristic, complemented
56	#32935	C₂²	1	1	yes	characteristic, complemented
57	#32883	C₂²	1	1	yes	characteristic, complemented
58	#32881	C₂²	1	1	yes	characteristic, complemented
59	#32880	C₂²	1	1	yes	characteristic, complemented
60	#32880	C₂²	1	1	yes	characteristic, complemented
61	#32878	C₂²	1	1	yes	characteristic, complemented
62	#32878	C₂²	1	1	yes	characteristic, complemented
63	#29709	C₂²	1	1	yes	characteristic, complemented
64	#29684	C₂²	1	1	yes	characteristic
65	#25899	C₂²	1	1	yes	characteristic, complemented
66	#25783	C₂²	1	1	yes	characteristic, complemented
67	#25776	C₂²	1	1	yes	characteristic, complemented
68	#25774	C₂²	1	1	yes	characteristic, complemented
69	#25771	C₂²	1	1	yes	characteristic, complemented
70	#25663	C₂²	1	1	yes	characteristic, complemented
71	#25663	C₂²	1	1	yes	characteristic, complemented
72	#25585	C₂²	1	1	yes	characteristic, complemented
73	#25585	C₂²	1	1	yes	characteristic, complemented
74	#24359	C₂²	1	1	yes	characteristic, complemented
75	#24359	C₂²	1	1	yes	characteristic, complemented
76	#24358	C₂²	1	1	yes	characteristic, complemented
77	#24355	C₂²	1	1	yes	characteristic, complemented
78	#24354	C₂²	1	1	yes	characteristic, complemented
79	#24354	C₂²	1	1	yes	characteristic, complemented
80	#24269	C₂²	1	1	yes	characteristic, complemented
81	#24269	C₂²	1	1	yes	characteristic, complemented
82	#24264	C₂²	1	1	yes	characteristic, complemented
83	#24260	C₂²	1	1	yes	characteristic, complemented
84	#24260	C₂²	1	1	yes	characteristic, complemented
85	#24140	C₂²	1	1	yes	characteristic, complemented
86	#24140	C₂²	1	1	yes	characteristic, complemented
87	#24140	C₂²	1	1	yes	characteristic, complemented
88	#24140	C₂²	1	1	yes	characteristic, complemented
89	#23852	C₂²	1	1	yes	characteristic, complemented
90	#23851	C₂²	1	1	yes	characteristic, complemented
91	#23849	C₂²	1	1	yes	characteristic, complemented
92	#23849	C₂²	1	1	yes	characteristic, complemented
93	#23848	C₂²	1	1	yes	characteristic, complemented
94	#23848	C₂²	1	1	yes	characteristic, complemented
95	#23595	C₂²	1	1	yes	characteristic
96	#22476	C₂²	1	1	yes	characteristic, complemented
97	#22476	C₂²	1	1	yes	characteristic, complemented
98	C₂²⋊C₄×D₈	C₂²	1	1	yes	characteristic, complemented
99	C₂²⋊C₄×D₈	C₂²	1	1	yes	characteristic, complemented
100	#22436	C₂²	1	1	yes	characteristic, complemented
101	D₄×#99	C₂²	1	1	yes	characteristic, complemented
102	D₄×#99	C₂²	1	1	yes	characteristic, complemented
103	D₄×#99	C₂²	1	1	yes	characteristic, complemented
104	D₄×#99	C₂²	1	1	yes	characteristic, complemented
105	#21441	C₂²	1	1	yes	characteristic, complemented
106	#21441	C₂²	1	1	yes	characteristic, complemented
107	#21439	C₂²	1	1	yes	characteristic, complemented
108	#18199	C₂²	1	1	yes	characteristic, complemented
109	#18199	C₂²	1	1	yes	characteristic, complemented
110	#18198	C₂²	1	1	yes	characteristic, complemented
111	#18198	C₂²	1	1	yes	characteristic, complemented
112	#18195	C₂²	1	1	yes	characteristic, complemented
113	#18194	C₂²	1	1	yes	characteristic, complemented
114	#10566	C₂²	1	1	yes	characteristic, complemented
115	#10565	C₂²	1	1	yes	characteristic, complemented
116	#10565	C₂²	1	1	yes	characteristic, complemented
117	#10564	C₂²	1	1	yes	characteristic, complemented
118	#10564	C₂²	1	1	yes	characteristic, complemented
119	#10564	C₂²	1	1	yes	characteristic, complemented
120	#10324	C₂²	1	1	yes	characteristic, complemented
121	#10322	C₂²	1	1	yes	characteristic, complemented
122	#10322	C₂²	1	1	yes	characteristic, complemented
123	#10320	C₂²	1	1	yes	characteristic, complemented
124	#10320	C₂²	1	1	yes	characteristic, complemented
125	#10320	C₂²	1	1	yes	characteristic, complemented
126	#9957	C₂²	1	1	yes	characteristic, complemented
127	#9956	C₂²	1	1	yes	characteristic, complemented
128	#9955	C₂²	1	1	yes	characteristic, complemented
129	#9954	C₂²	1	1	yes	characteristic, complemented
130	#9949	C₂²	1	1	yes	characteristic, complemented
131	#9948	C₂²	1	1	yes	characteristic, complemented
132	#9948	C₂²	1	1	yes	characteristic, complemented
133	#9948	C₂²	1	1	yes	characteristic, complemented
134	#9947	C₂²	1	1	yes	characteristic, complemented
135	#9946	C₂²	1	1	yes	characteristic, complemented
136	#9946	C₂²	1	1	yes	characteristic, complemented
137	#9946	C₂²	1	1	yes	characteristic, complemented
138	#9786	C₂²	1	1	yes	characteristic, complemented
139	#9786	C₂²	1	1	yes	characteristic, complemented
140	#9783	C₂²	1	1	yes	characteristic, complemented
141	#9783	C₂²	1	1	yes	characteristic, complemented
142	#9781	C₂²	1	1	yes	characteristic, complemented
143	#9781	C₂²	1	1	yes	characteristic, complemented
144	#9472	C₂²	1	1	yes	characteristic, complemented
145	#9471	C₂²	1	1	yes	characteristic, complemented
146	#9468	C₂²	1	1	yes	characteristic, complemented
147	#9468	C₂²	1	1	yes	characteristic, complemented
148	#9467	C₂²	1	1	yes	characteristic, complemented
149	#9467	C₂²	1	1	yes	characteristic, complemented
150	#9259	C₂²	1	1	yes	characteristic, complemented
151	#9259	C₂²	1	1	yes	characteristic, complemented
152	#9259	C₂²	1	1	yes	characteristic, complemented
153	#9259	C₂²	1	1	yes	characteristic, complemented
154	#9259	C₂²	1	1	yes	characteristic, complemented
155	#9259	C₂²	1	1	yes	characteristic, complemented
156	#9259	C₂²	1	1	yes	characteristic, complemented
157	#9259	C₂²	1	1	yes	characteristic, complemented
158	#9255	C₂²	1	1	yes	characteristic, complemented
159	#9255	C₂²	1	1	yes	characteristic, complemented
160	#9255	C₂²	1	1	yes	characteristic, complemented
161	#9255	C₂²	1	1	yes	characteristic, complemented
162	#8967	C₂²	1	1	yes	characteristic, complemented
163	#8965	C₂²	1	1	yes	characteristic, complemented
164	#8965	C₂²	1	1	yes	characteristic, complemented
165	#8852	C₂²	1	1	yes	characteristic, complemented
166	#8851	C₂²	1	1	yes	characteristic, complemented
167	#8851	C₂²	1	1	yes	characteristic, complemented
168	#8610	C₂²	1	1	yes	characteristic, complemented
169	#8610	C₂²	1	1	yes	characteristic, complemented
170	#8609	C₂²	1	1	yes	characteristic, complemented
171	#8381	C₂²	1	1	yes	characteristic, complemented
172	#8381	C₂²	1	1	yes	characteristic, complemented
173	#8375	C₂²	1	1	yes	characteristic, complemented
174	#8375	C₂²	1	1	yes	characteristic, complemented
175	#8375	C₂²	1	1	yes	characteristic, complemented
176	#8375	C₂²	1	1	yes	characteristic, complemented
177	#8352	C₂²	1	1	yes	characteristic, complemented
178	#8352	C₂²	1	1	yes	characteristic, complemented
179	#8352	C₂²	1	1	yes	characteristic, complemented
180	#8352	C₂²	1	1	yes	characteristic, complemented
181	#8350	C₂²	1	1	yes	characteristic, complemented
182	#8350	C₂²	1	1	yes	characteristic, complemented
183	#8317	C₂²	1	1	yes	characteristic, complemented
184	#8161	C₂²	1	1	yes	characteristic, complemented
185	#8161	C₂²	1	1	yes	characteristic, complemented
186	C₈×#99	C₂²	1	1	yes	characteristic, complemented
187	C₂³×#41	C₂³	1	1	yes	characteristic
188	C₂⁴×D₄	C₂³	1	1	yes	characteristic
189	C₂²×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic, complemented
190	C₂²×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic, complemented
191	C₂³×SD₁₆	C₂³	1	1	yes	characteristic
192	C₂³×SD₁₆	C₂³	1	1	yes	characteristic
193	C₂³×D₈	D₄	1	1	yes	characteristic, complemented
194	C₂³×D₈	C₂³	1	1	yes	characteristic
195	C₂³×D₈	C₂³	1	1	yes	characteristic
196	C₂³×M₁₆	C₂³	1	1	yes	characteristic
197	#3505	C₂³	1	1	yes	characteristic
198	#3505	C₂³	1	1	yes	characteristic
199	#3505	C₂³	1	1	yes	characteristic
200	#3505	C₂³	1	1	yes	characteristic
201	#3496	C₂³	1	1	yes	characteristic
202	#3496	C₂³	1	1	yes	characteristic
203	C₂×#546	C₂³	1	1	yes	characteristic
204	C₂×#546	C₂³	1	1	yes	characteristic
205	C₂×D₄²	C₂³	1	1	yes	characteristic
206	C₂×D₄²	C₂³	1	1	yes	characteristic
207	C₂×D₄²	C₂³	1	1	yes	characteristic
208	C₂×D₄²	C₂³	1	1	yes	characteristic
209	#3459	C₂³	1	1	yes	characteristic
210	#3189	C₂³	1	1	yes	characteristic
211	#3187	C₂³	1	1	yes	characteristic
212	#3187	C₂³	1	1	yes	characteristic
213	#3186	C₂³	1	1	yes	characteristic
214	#3186	C₂³	1	1	yes	characteristic
215	#3186	C₂³	1	1	yes	characteristic
216	C₂×#496	D₄	1	1	yes	characteristic, complemented
217	C₂×#496	D₄	1	1	yes	characteristic, complemented
218	C₂×#493	D₄	1	1	yes	characteristic, complemented
219	C₂×#469	D₄	1	1	yes	characteristic, complemented
220	C₂×#469	D₄	1	1	yes	characteristic, complemented
221	C₂×#466	D₄	1	1	yes	characteristic, complemented
222	C₂×#466	C₂³	1	1	yes	characteristic
223	C₂×#465	C₂³	1	1	yes	characteristic
224	C₂×#465	C₂³	1	1	yes	characteristic
225	C₂×#463	D₄	1	1	yes	characteristic, complemented
226	C₂×#463	D₄	1	1	yes	characteristic, complemented
227	C₂×#459	D₄	1	1	yes	characteristic, complemented
228	C₂×#459	D₄	1	1	yes	characteristic, complemented
229	C₂×#459	D₄	1	1	yes	characteristic, complemented
230	C₂×#459	D₄	1	1	yes	characteristic, complemented
231	C₂×#449	D₄	1	1	yes	characteristic, complemented
232	C₂×#449	D₄	1	1	yes	characteristic, complemented
233	C₂×#451	C₂³	1	1	yes	characteristic
234	C₂×#448	C₂³	1	1	yes	characteristic
235	C₂×#448	C₂³	1	1	yes	characteristic
236	C₂×#450	C₂³	1	1	yes	characteristic
237	C₂×#450	C₂³	1	1	yes	characteristic
238	C₂×#450	C₂³	1	1	yes	characteristic
239	C₂×#447	D₄	1	1	yes	characteristic, complemented
240	C₂×#447	D₄	1	1	yes	characteristic, complemented
241	C₂×#447	D₄	1	1	yes	characteristic, complemented
242	C₂×#447	D₄	1	1	yes	characteristic, complemented
243	C₂×#447	C₂³	1	1	yes	characteristic
244	C₂×#447	C₂³	1	1	yes	characteristic
245	C₂×#447	C₂³	1	1	yes	characteristic
246	C₂×#447	C₂³	1	1	yes	characteristic
247	C₂×#447	C₂³	1	1	yes	characteristic
248	C₂×#447	C₂³	1	1	yes	characteristic
249	#2973	C₂³	1	1	yes	characteristic
250	#2972	C₂³	1	1	yes	characteristic
251	#2972	C₂³	1	1	yes	characteristic
252	C₂×#442	D₄	1	1	yes	characteristic, complemented
253	C₂×#442	D₄	1	1	yes	characteristic, complemented
254	C₂×C₄×D₈	D₄	1	1	yes	characteristic, complemented
255	C₂×#435	C₂³	1	1	yes	characteristic
256	C₂×#435	C₂³	1	1	yes	characteristic
257	C₂×C₈×D₄	C₂³	1	1	yes	characteristic
258	#2848	C₂³	1	1	yes	characteristic
259	#2848	C₂³	1	1	yes	characteristic
260	#2847	C₂³	1	1	yes	characteristic
261	#2847	C₂³	1	1	yes	characteristic
262	#2847	C₂³	1	1	yes	characteristic
263	#2847	C₂³	1	1	yes	characteristic
264	#2436	C₂³	1	1	yes	characteristic
265	#2436	C₂³	1	1	yes	characteristic
266	#2435	C₂³	1	1	yes	characteristic
267	#2434	C₂³	1	1	yes	characteristic
268	#2433	C₂³	1	1	yes	characteristic
269	#2433	C₂³	1	1	yes	characteristic
270	#2409	C₂³	1	1	yes	characteristic
271	#2409	C₂³	1	1	yes	characteristic
272	#2409	C₂³	1	1	yes	characteristic
273	#2408	C₂³	1	1	yes	characteristic
274	#2408	C₂³	1	1	yes	characteristic
275	#2408	C₂³	1	1	yes	characteristic
276	D₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	D₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	D₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	D₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	D₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	D₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₄×#120	C₂³	1	1	yes	characteristic
283	C₄×#120	C₂³	1	1	yes	characteristic
284	C₄×#120	C₂³	1	1	yes	characteristic
285	#2062	D₄	1	1	yes	characteristic
286	#2044	D₄	1	1	yes	characteristic
287	#2044	D₄	1	1	yes	characteristic
288	#2044	D₄	1	1	yes	characteristic
289	#2029	D₄	1	1	yes	characteristic
290	#2021	D₄	1	1	yes	characteristic
291	#2021	D₄	1	1	yes	characteristic
292	#2021	D₄	1	1	yes	characteristic
293	#1996	C₂³	1	1	yes	characteristic
294	#1996	C₂³	1	1	yes	characteristic
295	#1996	C₂³	1	1	yes	characteristic
296	#1996	C₂³	1	1	yes	characteristic
297	#1964	C₂³	1	1	yes	characteristic
298	#1964	C₂³	1	1	yes	characteristic
299	#1964	C₂³	1	1	yes	characteristic
300	#1964	C₂³	1	1	yes	characteristic
301	#1964	C₂³	1	1	yes	characteristic
302	#1964	C₂³	1	1	yes	characteristic
303	#1964	C₂³	1	1	yes	characteristic
304	#1964	C₂³	1	1	yes	characteristic
305	#1893	C₂³	1	1	yes	characteristic
306	#1893	C₂³	1	1	yes	characteristic
307	#1893	C₂³	1	1	yes	characteristic
308	#1893	C₂³	1	1	yes	characteristic
309	#1892	C₂³	1	1	yes	characteristic
310	#1892	C₂³	1	1	yes	characteristic
311	#1869	C₂³	1	1	yes	characteristic
312	#1869	C₂³	1	1	yes	characteristic
313	#1869	C₂³	1	1	yes	characteristic
314	#1850	C₂³	1	1	yes	characteristic
315	#1850	C₂³	1	1	yes	characteristic
316	#1850	C₂³	1	1	yes	characteristic
317	#1808	C₂³	1	1	yes	characteristic
318	#1808	C₂³	1	1	yes	characteristic
319	#1807	C₂³	1	1	yes	characteristic
320	#1799	C₂³	1	1	yes	characteristic
321	#1799	C₂³	1	1	yes	characteristic
322	#1799	C₂³	1	1	yes	characteristic
323	#1799	C₂³	1	1	yes	characteristic
324	#1799	C₂³	1	1	yes	characteristic
325	#1799	C₂³	1	1	yes	characteristic
326	#1787	C₂³	1	1	yes	characteristic
327	#1787	C₂³	1	1	yes	characteristic
328	#1787	C₂³	1	1	yes	characteristic
329	#1786	C₂³	1	1	yes	characteristic
330	#1786	C₂³	1	1	yes	characteristic
331	#1786	C₂³	1	1	yes	characteristic
332	#1786	C₂³	1	1	yes	characteristic
333	#1786	C₂³	1	1	yes	characteristic
334	#1786	C₂³	1	1	yes	characteristic
335	#1786	C₂³	1	1	yes	characteristic
336	#1786	C₂³	1	1	yes	characteristic
337	#1786	C₂³	1	1	yes	characteristic
338	#1779	C₂³	1	1	yes	characteristic
339	#1779	C₂³	1	1	yes	characteristic
340	#1779	C₂³	1	1	yes	characteristic
341	C₄×#99	C₂³	1	1	yes	characteristic
342	C₄×#99	C₂³	1	1	yes	characteristic
343	C₄×#99	C₂³	1	1	yes	characteristic
344	#1752	C₂³	1	1	yes	characteristic
345	C₈×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₈×C₂²⋊C₄	C₂³	1	1	yes	characteristic
347	#1520	C₂³	1	1	yes	characteristic
348	#1520	C₂³	1	1	yes	characteristic
349	#1520	C₂³	1	1	yes	characteristic
350	#1520	C₂³	1	1	yes	characteristic
351	#1519	C₂³	1	1	yes	characteristic
352	#1519	C₂³	1	1	yes	characteristic
353	#1519	C₂³	1	1	yes	characteristic
354	#1519	C₂³	1	1	yes	characteristic
355	#1519	C₂³	1	1	yes	characteristic
356	#1519	C₂³	1	1	yes	characteristic
357	#1519	C₂³	1	1	yes	characteristic
358	#1519	C₂³	1	1	yes	characteristic
359	#1459	C₂³	1	1	yes	characteristic
360	#1459	C₂³	1	1	yes	characteristic
361	#1459	C₂³	1	1	yes	characteristic
362	#1289	C₂³	1	1	yes	characteristic
363	#1289	C₂³	1	1	yes	characteristic
364	#1289	C₂³	1	1	yes	characteristic
365	#1289	C₂³	1	1	yes	characteristic
366	#1289	C₂³	1	1	yes	characteristic
367	#1289	C₂³	1	1	yes	characteristic
368	#1282	C₂³	1	1	yes	characteristic
369	#1282	C₂³	1	1	yes	characteristic
370	#1282	C₂³	1	1	yes	characteristic
371	#1282	C₂³	1	1	yes	characteristic
372	#1282	C₂³	1	1	yes	characteristic
373	#1282	C₂³	1	1	yes	characteristic
374	C₂²×#41	C₂×D₄	1	1	yes	characteristic
375	C₂²×#41	C₂×D₄	1	1	yes	characteristic, complemented
376	C₂³×Q₈	C₂⁴	1	1	yes	characteristic
377	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
378	C₂³×D₄	C₂×D₄	1	1	yes	characteristic
379	C₂³×D₄	C₂×D₄	1	1	yes	characteristic, complemented
380	C₂³×D₄	C₂×D₄	1	1	yes	characteristic, complemented
381	C₂³×D₄	C₂⁴	1	1	yes	characteristic
382	C₂³×D₄	C₂⁴	1	1	yes	characteristic
383	C₂³×D₄	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₄	C₂⁴	1	1	yes	characteristic
385	C₂²×SD₁₆	C₂×D₄	1	1	yes	characteristic
386	C₂²×SD₁₆	C₂×D₄	1	1	yes	characteristic
387	C₂²×SD₁₆	C₂×D₄	1	1	yes	characteristic, complemented
388	C₂²×SD₁₆	C₂×D₄	1	1	yes	characteristic, complemented
389	C₂²×SD₁₆	C₂×D₄	1	1	yes	characteristic, complemented
390	C₂²×SD₁₆	C₂×D₄	1	1	yes	characteristic, complemented
391	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
392	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
393	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
394	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
395	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
396	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
397	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
398	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
399	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
400	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
401	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
402	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
403	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
404	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
405	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
406	C₂²×D₈	C₂×D₄	1	1	yes	characteristic
407	C₂²×D₈	C₂×D₄	1	1	yes	characteristic, complemented
408	C₂²×D₈	C₂×D₄	1	1	yes	characteristic, complemented
409	C₂²×D₈	C₂×D₄	1	1	yes	characteristic, complemented
410	C₂²×D₈	C₂×D₄	1	1	yes	characteristic, complemented
411	C₂²×D₈	C₂×D₄	1	1	yes	characteristic, complemented
412	C₂²×M₁₆	C₂×D₄	1	1	yes	characteristic, complemented
413	C₂²×M₁₆	C₂×D₄	1	1	yes	characteristic, complemented
414	C₂³×C₈	C₂×D₄	1	1	yes	characteristic, complemented
415	C₂³×C₈	C₂⁴	1	1	yes	characteristic
416	C₂³×C₈	C₂⁴	1	1	yes	characteristic
417	#543	C₂×D₄	1	1	yes	characteristic
418	#534	C₂×D₄	1	1	yes	characteristic
419	#534	C₂×D₄	1	1	yes	characteristic
420	#534	C₂×D₄	1	1	yes	characteristic
421	C₂×#127	C₂×D₄	1	1	yes	characteristic
422	C₂×#127	C₂×D₄	1	1	yes	characteristic
423	C₂×#127	C₂×D₄	1	1	yes	characteristic, complemented
424	C₂×#127	C₂×D₄	1	1	yes	characteristic, complemented
425	C₂×#124	C₂×D₄	1	1	yes	characteristic
426	C₂×#124	C₂×D₄	1	1	yes	characteristic, complemented
427	C₂×C₂²⋊Q₈	C₂⁴	1	1	yes	characteristic
428	C₂×C₂²⋊Q₈	C₂⁴	1	1	yes	characteristic
429	C₂×#121	C₂×D₄	1	1	yes	characteristic
430	C₂×#121	C₂×D₄	1	1	yes	characteristic
431	C₂×#121	C₂×D₄	1	1	yes	characteristic
432	C₂×#121	C₂×D₄	1	1	yes	characteristic, complemented
433	C₂×#121	C₂×D₄	1	1	yes	characteristic, complemented
434	C₂×#121	C₂×D₄	1	1	yes	characteristic, complemented
435	C₂×#121	C₂⁴	1	1	yes	characteristic
436	C₂×#121	C₂⁴	1	1	yes	characteristic
437	C₂×#121	C₂⁴	1	1	yes	characteristic
438	C₂×#121	C₂⁴	1	1	yes	characteristic
439	C₂×#120	C₂×D₄	1	1	yes	characteristic
440	C₂×#120	C₂×D₄	1	1	yes	characteristic
441	C₂×#120	C₂×D₄	1	1	yes	characteristic
442	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic
443	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic
444	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic
445	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic, complemented
446	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic, complemented
447	C₂×C₄×D₄	C₂×D₄	1	1	yes	characteristic, complemented
448	C₂×C₄×D₄	C₂⁴	1	1	yes	characteristic
449	C₂×C₄×D₄	C₂⁴	1	1	yes	characteristic
450	C₂×C₄×D₄	C₂⁴	1	1	yes	characteristic
451	C₂×#107	C₂×D₄	1	1	yes	characteristic, complemented
452	C₂×#106	C₂×D₄	1	1	yes	characteristic, complemented
453	C₂×#106	C₂×D₄	1	1	yes	characteristic, complemented
454	C₂×C₄⋊C₈	C₂×D₄	1	1	yes	characteristic, complemented
455	C₂×C₄⋊C₈	C₂×D₄	1	1	yes	characteristic, complemented
456	C₂×C₄⋊C₈	C₂×D₄	1	1	yes	characteristic, complemented
457	C₂×#103	C₂×D₄	1	1	yes	characteristic, complemented
458	C₂×#103	C₂×D₄	1	1	yes	characteristic, complemented
459	C₂×#102	C₂×D₄	1	1	yes	characteristic
460	C₂×#102	C₂×D₄	1	1	yes	characteristic
461	C₂×#102	C₂×D₄	1	1	yes	characteristic
462	C₂×#102	C₂×D₄	1	1	yes	characteristic
463	C₂×#102	C₂×D₄	1	1	yes	characteristic
464	C₂×#102	C₂×D₄	1	1	yes	characteristic
465	C₂×#102	C₂×D₄	1	1	yes	characteristic, complemented
466	C₂×#102	C₂×D₄	1	1	yes	characteristic, complemented
467	C₂×#102	C₂×D₄	1	1	yes	characteristic, complemented
468	C₂×#102	C₂×D₄	1	1	yes	characteristic, complemented
469	C₂×#102	C₂×D₄	1	1	yes	characteristic, complemented
470	C₂×#102	C₂×D₄	1	1	yes	characteristic, complemented
471	C₂×#102	C₂×D₄	1	1	yes	characteristic, complemented
472	C₂×#102	C₂×D₄	1	1	yes	characteristic, complemented
473	C₂×#102	C₂×D₄	1	1	yes	characteristic, complemented
474	C₂×#102	C₂×D₄	1	1	yes	characteristic, complemented
475	C₂×#99	C₂×D₄	1	1	yes	characteristic
476	C₂×#99	C₂×D₄	1	1	yes	characteristic
477	C₂×#99	C₂×D₄	1	1	yes	characteristic
478	C₂×#99	C₂×D₄	1	1	yes	characteristic
479	C₂×#99	C₂×D₄	1	1	yes	characteristic
480	C₂×#99	C₂×D₄	1	1	yes	characteristic
481	C₂×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic, complemented
482	C₂×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic, complemented
483	C₂×C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic, complemented
484	C₂×C₂²⋊C₈	C₂⁴	1	1	yes	characteristic
485	C₂×C₂²⋊C₈	C₂⁴	1	1	yes	characteristic
486	C₂×C₂²⋊C₈	C₂⁴	1	1	yes	characteristic
487	C₂×C₂²⋊C₈	C₂⁴	1	1	yes	characteristic
488	C₂×C₂²⋊C₈	C₂⁴	1	1	yes	characteristic
489	C₂×C₂²⋊C₈	C₂⁴	1	1	yes	characteristic
490	C₂×#97	C₂×D₄	1	1	yes	characteristic, complemented
491	C₂×#97	C₂×D₄	1	1	yes	characteristic, complemented
492	C₂×C₄×C₈	C₂×D₄	1	1	yes	characteristic, complemented
493	#386	C₂×D₄	1	1	yes	characteristic
494	#386	C₂×D₄	1	1	yes	characteristic
495	#386	C₂×D₄	1	1	yes	characteristic
496	#385	C₂×D₄	1	1	yes	characteristic
497	#385	C₂×D₄	1	1	yes	characteristic
498	#385	C₂×D₄	1	1	yes	characteristic
499	#380	C₂⁴	1	1	yes	characteristic
500	#380	C₂⁴	1	1	yes	characteristic
501	#380	C₂⁴	1	1	yes	characteristic
502	#380	C₂⁴	1	1	yes	characteristic
503	#380	C₂⁴	1	1	yes	characteristic
504	#380	C₂⁴	1	1	yes	characteristic
505	#379	C₂×D₄	1	1	yes	characteristic
506	#379	C₂×D₄	1	1	yes	characteristic
507	#379	C₂×D₄	1	1	yes	characteristic
508	C₄×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
509	C₄×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
510	C₄×C₂²⋊C₄	C₂⁴	1	1	yes	characteristic
511	#342	C₂×D₄	1	1	yes	characteristic
512	#342	C₂×D₄	1	1	yes	characteristic
513	#342	C₂×D₄	1	1	yes	characteristic
514	#342	C₂×D₄	1	1	yes	characteristic
515	#342	C₂×D₄	1	1	yes	characteristic
516	#342	C₂×D₄	1	1	yes	characteristic
517	C₂⁵	C₂²×D₄	1	1	yes	characteristic
518	C₂²×Q₈	C₂²×D₄	1	1	yes	characteristic
519	C₂²×Q₈	C₂²×D₄	1	1	yes	characteristic
520	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
521	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
522	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
523	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
524	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
525	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
526	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
527	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
528	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
529	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
530	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
531	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
532	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
533	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
534	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
535	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
536	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
537	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
538	C₂²×D₄	C₂²×D₄	1	1	yes	characteristic
539	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
540	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
541	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
542	C₂³×C₄	C₂²×D₄	1	1	yes	characteristic
543	C₂³×C₄	C₂⁵	1	1	yes	characteristic
544	C₂×D₈	#120	1	1	yes	characteristic
545	C₂×D₈	#120	1	1	yes	characteristic
546	C₂×D₈	#120	1	1	yes	characteristic
547	C₂×D₈	#120	1	1	yes	characteristic
548	C₂×D₈	#120	1	1	yes	characteristic
549	C₂×D₈	#120	1	1	yes	characteristic
550	C₂×D₈	#120	1	1	yes	characteristic
551	C₂×D₈	#120	1	1	yes	characteristic
552	C₂×D₈	#120	1	1	yes	characteristic
553	C₂×D₈	#120	1	1	yes	characteristic
554	C₂×D₈	#120	1	1	yes	characteristic
555	C₂×D₈	#120	1	1	yes	characteristic
556	C₂×D₈	#120	1	1	yes	characteristic
557	C₂×D₈	#120	1	1	yes	characteristic
558	C₂×D₈	#120	1	1	yes	characteristic
559	C₂×D₈	#120	1	1	yes	characteristic
560	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
561	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
562	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
563	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
564	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
565	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
566	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
567	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
568	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
569	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
570	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
571	C₂²×C₈	C₂²×D₄	1	1	yes	characteristic
572	C₂×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
573	C₂×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
574	C₂×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
575	C₂×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
576	C₂×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
577	C₂×C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
578	C₂×C₄⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
579	C₂×C₄⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
580	C₂×C₄⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
581	C₂×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
582	C₂×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
583	C₂×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
584	C₂×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
585	C₂×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
586	C₂×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
587	C₂×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
588	C₂×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
589	C₂×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
590	C₂×C₂²⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
591	C₂×C₂²⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
592	C₂×C₂²⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
593	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
594	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
595	C₂×C₄²	C₂²×D₄	1	1	yes	characteristic
596	C₂⁴	D₄²	1	1	yes	characteristic
597	C₂⁴	D₄²	1	1	yes	characteristic
598	C₂⁴	D₄²	1	1	yes	characteristic
599	C₂⁴	C₂³×D₄	1	1	yes	characteristic
600	C₂×D₄	C₂×#120	1	1	yes	characteristic
601	C₂×D₄	C₂×#120	1	1	yes	characteristic
602	C₂×D₄	C₂×#120	1	1	yes	characteristic
603	C₂×D₄	C₂×#120	1	1	yes	characteristic
604	C₂×D₄	C₂×#120	1	1	yes	characteristic
605	C₂×D₄	C₂×#120	1	1	yes	characteristic
606	C₂×D₄	C₂×#120	1	1	yes	characteristic
607	C₂×D₄	C₂×#120	1	1	yes	characteristic
608	C₂²×C₄	D₄²	1	1	yes	characteristic
609	C₂²×C₄	D₄²	1	1	yes	characteristic
610	C₂²×C₄	D₄²	1	1	yes	characteristic
611	C₂²×C₄	D₄²	1	1	yes	characteristic
612	C₂²×C₄	D₄²	1	1	yes	characteristic
613	C₂²×C₄	D₄²	1	1	yes	characteristic
614	C₂²×C₄	D₄²	1	1	yes	characteristic
615	C₂²×C₄	D₄²	1	1	yes	characteristic
616	C₂²×C₄	D₄²	1	1	yes	characteristic
617	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
618	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
619	C₂²×C₄	C₂³×D₄	1	1	yes	characteristic
620	C₂²×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
621	C₂²×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
622	C₂²×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
623	D₈	B(4,𝔽₂)	1	4	yes	complemented
624	C₂×C₈	C₂×#120	1	1	yes	characteristic
625	C₂×C₈	C₂×#120	1	1	yes	characteristic
626	C₂×C₈	C₂×#120	1	1	yes	characteristic
627	C₂×C₈	C₂×#120	1	1	yes	characteristic
628	C₂²⋊C₄	#576	1	2	yes	complemented
629	C₂³	C₂×D₄²	1	1	yes	characteristic
630	C₂³	C₂×D₄²	1	1	yes	characteristic
631	C₂³	C₂×D₄²	1	1	yes	characteristic
632	C₂³	C₂×#576	1	1	yes	characteristic
633	C₂³	#3584	1	1	yes	characteristic
634	C₂³	#3585	1	1	yes	characteristic
635	C₂³	#3585	1	1	yes	characteristic
636	D₄	C₂×B(4,𝔽₂)	1	2	yes	—
637	D₄	C₂×B(4,𝔽₂)	1	2	yes	—
638	C₂×C₄	C₂²×#120	1	1	yes	characteristic
639	C₂×C₄	#3484	1	1	yes	characteristic
640	C₂×C₄	#3484	1	1	yes	characteristic
641	C₂×C₄	#3484	1	1	yes	characteristic
642	C₈	C₂×B(4,𝔽₂)	1	2	yes	—
643	C₂²	D₄×#120	1	1	yes	characteristic
644	C₂²	#61058	1	1	yes	characteristic
645	C₂²	#61072	1	1	yes	characteristic
646	C₂²	#61074	1	1	yes	characteristic
647	C₂²	#61084	1	1	yes	characteristic
648	C₂²	#61092	1	1	yes	characteristic
649	C₂²	#61093	1	1	yes	characteristic
650	C₄	C₂²×B(4,𝔽₂)	1	1	yes	characteristic
651	C₄	#60399	1	1	yes	characteristic
652	C₂	D₄×B(4,𝔽₂)	1	1	yes	characteristic
653	C₂	#6573735	1	1	yes	characteristic
654	C₂	#6573739	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	D₄×#120
commutator, Frattini, cosocle	C₂³×C₄	C₂⁵
LCS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ G
LECS	G ▷ C₂³×C₄ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #10583048	C₂	semidirect
2. #6573500	C₂	semidirect
3. #6573499	C₂	semidirect
4. #6573485	C₂	semidirect
5. #6542240	C₂	semidirect
6. #6533135	C₂	semidirect
7. #348128	C₂	semidirect
8. #346558	C₂	semidirect
9. #346550	C₂	semidirect
10. #301920	C₂	semidirect
11. #301918	C₂	semidirect
12. #301862	C₂	semidirect
13. #267423	C₂	semidirect
14. #267419	C₂	semidirect
15. #267415	C₂	semidirect
16. #267411	C₂	semidirect
17. #267375	C₂	semidirect
18. #267371	C₂	semidirect
19. #265272	C₂	semidirect
20. #265272	C₂	semidirect
21. #265238	C₂	semidirect
22. #248554	C₂	semidirect
23. #248551	C₂	semidirect
24. #248460	C₂	semidirect
25. #248458	C₂	semidirect
26. #248457	C₂	semidirect
27. #248455	C₂	semidirect
28. D₈×#99	C₂	semidirect
29. #220264	C₂	semidirect
30. #220264	C₂	semidirect
31. #208830	C₂	semidirect
32. C₂³×AGL(1,ℤ/8)	C₂²	semidirect
34. #62892	C₂²	semidirect
35. #62253	C₂²	semidirect
36. #62253	C₂²	semidirect
37. #62244	C₂²	semidirect
39. #61571	C₂²	semidirect
41. #61561	C₂²	semidirect
43. #61559	C₂²	semidirect
47. #60310	C₂²	semidirect
48. #36213	C₂²	semidirect
49. #36212	C₂²	semidirect
50. #36212	C₂²	semidirect
51. #36152	C₂²	semidirect
52. D₄×#120	C₂²	semidirect
53. D₄×#120	C₂²	semidirect
54. #32936	C₂²	semidirect
55. #32935	C₂²	semidirect
56. #32935	C₂²	semidirect
57. #32883	C₂²	semidirect
58. #32881	C₂²	semidirect
59. #32880	C₂²	semidirect
60. #32880	C₂²	semidirect
61. #32878	C₂²	semidirect
62. #32878	C₂²	semidirect
63. #29709	C₂²	semidirect
65. #25899	C₂²	semidirect
66. #25783	C₂²	semidirect
67. #25776	C₂²	semidirect
68. #25774	C₂²	semidirect
69. #25771	C₂²	semidirect
70. #25663	C₂²	semidirect
71. #25663	C₂²	semidirect
72. #25585	C₂²	semidirect
73. #25585	C₂²	semidirect
74. #24359	C₂²	semidirect
75. #24359	C₂²	semidirect
76. #24358	C₂²	semidirect
77. #24355	C₂²	semidirect
78. #24354	C₂²	semidirect
79. #24354	C₂²	semidirect
80. #24269	C₂²	semidirect
81. #24269	C₂²	semidirect
82. #24264	C₂²	semidirect
83. #24260	C₂²	semidirect
84. #24260	C₂²	semidirect
85. #24140	C₂²	semidirect
86. #24140	C₂²	semidirect
87. #24140	C₂²	semidirect
88. #24140	C₂²	semidirect
89. #23852	C₂²	semidirect
90. #23851	C₂²	semidirect
91. #23849	C₂²	semidirect
92. #23849	C₂²	semidirect
93. #23848	C₂²	semidirect
94. #23848	C₂²	semidirect
96. #22476	C₂²	semidirect
97. #22476	C₂²	semidirect
98. C₂²⋊C₄×D₈	C₂²	semidirect
99. C₂²⋊C₄×D₈	C₂²	semidirect
100. #22436	C₂²	semidirect
101. D₄×#99	C₂²	semidirect
102. D₄×#99	C₂²	semidirect
103. D₄×#99	C₂²	semidirect
104. D₄×#99	C₂²	semidirect
105. #21441	C₂²	semidirect
106. #21441	C₂²	semidirect
107. #21439	C₂²	semidirect
108. #18199	C₂²	semidirect
109. #18199	C₂²	semidirect
110. #18198	C₂²	semidirect
111. #18198	C₂²	semidirect
112. #18195	C₂²	semidirect
113. #18194	C₂²	semidirect
114. #10566	C₂²	semidirect
115. #10565	C₂²	semidirect
116. #10565	C₂²	semidirect
117. #10564	C₂²	semidirect
118. #10564	C₂²	semidirect
119. #10564	C₂²	semidirect
120. #10324	C₂²	semidirect
121. #10322	C₂²	semidirect
122. #10322	C₂²	semidirect
123. #10320	C₂²	semidirect
124. #10320	C₂²	semidirect
125. #10320	C₂²	semidirect
126. #9957	C₂²	semidirect
127. #9956	C₂²	semidirect
128. #9955	C₂²	semidirect
129. #9954	C₂²	semidirect
130. #9949	C₂²	semidirect
131. #9948	C₂²	semidirect
132. #9948	C₂²	semidirect
133. #9948	C₂²	semidirect
134. #9947	C₂²	semidirect
135. #9946	C₂²	semidirect
136. #9946	C₂²	semidirect
137. #9946	C₂²	semidirect
138. #9786	C₂²	semidirect
139. #9786	C₂²	semidirect
140. #9783	C₂²	semidirect
141. #9783	C₂²	semidirect
142. #9781	C₂²	semidirect
143. #9781	C₂²	semidirect
144. #9472	C₂²	semidirect
145. #9471	C₂²	semidirect
146. #9468	C₂²	semidirect
147. #9468	C₂²	semidirect
148. #9467	C₂²	semidirect
149. #9467	C₂²	semidirect
150. #9259	C₂²	semidirect
151. #9259	C₂²	semidirect
152. #9259	C₂²	semidirect
153. #9259	C₂²	semidirect
154. #9259	C₂²	semidirect
155. #9259	C₂²	semidirect
156. #9259	C₂²	semidirect
157. #9259	C₂²	semidirect
158. #9255	C₂²	semidirect
159. #9255	C₂²	semidirect
160. #9255	C₂²	semidirect
161. #9255	C₂²	semidirect
162. #8967	C₂²	semidirect
163. #8965	C₂²	semidirect
164. #8965	C₂²	semidirect
165. #8852	C₂²	semidirect
166. #8851	C₂²	semidirect
167. #8851	C₂²	semidirect
168. #8610	C₂²	semidirect
169. #8610	C₂²	semidirect
170. #8609	C₂²	semidirect
171. #8381	C₂²	semidirect
172. #8381	C₂²	semidirect
173. #8375	C₂²	semidirect
174. #8375	C₂²	semidirect
175. #8375	C₂²	semidirect
176. #8375	C₂²	semidirect
177. #8352	C₂²	semidirect
178. #8352	C₂²	semidirect
179. #8352	C₂²	semidirect
180. #8352	C₂²	semidirect
181. #8350	C₂²	semidirect
182. #8350	C₂²	semidirect
183. #8317	C₂²	semidirect
184. #8161	C₂²	semidirect
185. #8161	C₂²	semidirect
186. C₈×#99	C₂²	semidirect
189. C₂²×AGL(1,ℤ/8)	D₄	semidirect
190. C₂²×AGL(1,ℤ/8)	D₄	semidirect
193. C₂³×D₈	D₄	semidirect
216. C₂×#496	D₄	semidirect
217. C₂×#496	D₄	semidirect
218. C₂×#493	D₄	semidirect
219. C₂×#469	D₄	semidirect
220. C₂×#469	D₄	semidirect
221. C₂×#466	D₄	semidirect
225. C₂×#463	D₄	semidirect
226. C₂×#463	D₄	semidirect
227. C₂×#459	D₄	semidirect
228. C₂×#459	D₄	semidirect
229. C₂×#459	D₄	semidirect
230. C₂×#459	D₄	semidirect
231. C₂×#449	D₄	semidirect
232. C₂×#449	D₄	semidirect
239. C₂×#447	D₄	semidirect
240. C₂×#447	D₄	semidirect
241. C₂×#447	D₄	semidirect
242. C₂×#447	D₄	semidirect
252. C₂×#442	D₄	semidirect
253. C₂×#442	D₄	semidirect
254. C₂×C₄×D₈	D₄	semidirect
375. C₂²×#41	C₂×D₄	semidirect
379. C₂³×D₄	C₂×D₄	semidirect
380. C₂³×D₄	C₂×D₄	semidirect
387. C₂²×SD₁₆	C₂×D₄	semidirect
388. C₂²×SD₁₆	C₂×D₄	semidirect
389. C₂²×SD₁₆	C₂×D₄	semidirect
390. C₂²×SD₁₆	C₂×D₄	semidirect
407. C₂²×D₈	C₂×D₄	semidirect
408. C₂²×D₈	C₂×D₄	semidirect
409. C₂²×D₈	C₂×D₄	semidirect
410. C₂²×D₈	C₂×D₄	semidirect
411. C₂²×D₈	C₂×D₄	semidirect
412. C₂²×M₁₆	C₂×D₄	semidirect
413. C₂²×M₁₆	C₂×D₄	semidirect
414. C₂³×C₈	C₂×D₄	semidirect
423. C₂×#127	C₂×D₄	semidirect
424. C₂×#127	C₂×D₄	semidirect
426. C₂×#124	C₂×D₄	semidirect
432. C₂×#121	C₂×D₄	semidirect
433. C₂×#121	C₂×D₄	semidirect
434. C₂×#121	C₂×D₄	semidirect
445. C₂×C₄×D₄	C₂×D₄	semidirect
446. C₂×C₄×D₄	C₂×D₄	semidirect
447. C₂×C₄×D₄	C₂×D₄	semidirect
451. C₂×#107	C₂×D₄	semidirect
452. C₂×#106	C₂×D₄	semidirect
453. C₂×#106	C₂×D₄	semidirect
454. C₂×C₄⋊C₈	C₂×D₄	semidirect
455. C₂×C₄⋊C₈	C₂×D₄	semidirect
456. C₂×C₄⋊C₈	C₂×D₄	semidirect
457. C₂×#103	C₂×D₄	semidirect
458. C₂×#103	C₂×D₄	semidirect
465. C₂×#102	C₂×D₄	semidirect
466. C₂×#102	C₂×D₄	semidirect
467. C₂×#102	C₂×D₄	semidirect
468. C₂×#102	C₂×D₄	semidirect
469. C₂×#102	C₂×D₄	semidirect
470. C₂×#102	C₂×D₄	semidirect
471. C₂×#102	C₂×D₄	semidirect
472. C₂×#102	C₂×D₄	semidirect
473. C₂×#102	C₂×D₄	semidirect
474. C₂×#102	C₂×D₄	semidirect
481. C₂×C₂²⋊C₈	C₂×D₄	semidirect
482. C₂×C₂²⋊C₈	C₂×D₄	semidirect
483. C₂×C₂²⋊C₈	C₂×D₄	semidirect
490. C₂×#97	C₂×D₄	semidirect
491. C₂×#97	C₂×D₄	semidirect
492. C₂×C₄×C₈	C₂×D₄	semidirect
623. D₈	B(4,𝔽₂)	semidirect
628. C₂²⋊C₄	#576	semidirect

Maximal subgroups

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

subgroup	index
#10583048	2
#6573500	2
#6573499	2
#6573485	2
#6542240	2
#6533135	2
#348128	2
#346558	2
#346550	2
#301920	2
#301918	2
#301862	2
#267423	2
#267419	2
#267415	2
#267411	2
#267375	2
#267371	2
#265272	2
#265238	2
#248554	2
#248551	2
#248460	2
#248458	2
#248457	2
#248455	2
D₈×#99	2
#220264	2
#208830	2