Subgroups — #44238

Order 256.

1101 conjugacy classes of subgroups.

The subgroup lattice has 847 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2797	C₂	1	1	yes	maximal, characteristic, complemented
2	#2761	C₂	1	1	yes	maximal, characteristic, complemented
3	#2732	C₂	1	1	yes	maximal, characteristic, complemented
4	#2709	C₂	1	1	yes	maximal, characteristic, complemented
5	#2697	C₂	1	1	yes	maximal, characteristic, complemented
6	#2691	C₂	1	1	yes	maximal, characteristic, complemented
7	#2685	C₂	1	1	yes	maximal, characteristic, complemented
8	#2685	C₂	1	1	yes	maximal, characteristic, complemented
9	#2600	C₂	1	1	yes	maximal, characteristic, complemented
10	#2574	C₂	1	1	yes	maximal, characteristic, complemented
11	#2554	C₂	1	1	yes	maximal, characteristic, complemented
12	#2544	C₂	1	1	yes	maximal, characteristic, complemented
13	#2534	C₂	1	1	yes	maximal, characteristic, complemented
14	#2531	C₂	1	1	yes	maximal, characteristic, complemented
15	#2476	C₂	1	1	yes	maximal, characteristic, complemented
16	#2472	C₂	1	1	yes	maximal, characteristic, complemented
17	#2472	C₂	1	1	yes	maximal, characteristic, complemented
18	#2471	C₂	1	1	yes	maximal, characteristic, complemented
19	#2467	C₂	1	1	yes	maximal, characteristic, complemented
20	#2461	C₂	1	1	yes	maximal, characteristic, complemented
21	#2461	C₂	1	1	yes	maximal, characteristic, complemented
22	#2445	C₂	1	1	yes	maximal, characteristic, complemented
23	#2433	C₂	1	1	yes	maximal, characteristic
24	#2405	C₂	1	1	yes	maximal, characteristic, complemented
25	#2392	C₂	1	1	yes	maximal, characteristic, complemented
26	#2374	C₂	1	1	yes	maximal, characteristic, complemented
27	#2373	C₂	1	1	yes	maximal, characteristic, complemented
28	#2358	C₂	1	1	yes	maximal, characteristic, complemented
29	D₄×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
30	#2328	C₂	1	1	yes	maximal, characteristic, complemented
31	#2321	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×D₄	C₂²	1	1	yes	characteristic
33	C₂×#127	C₂²	1	1	yes	characteristic
34	C₂×#127	C₂²	1	1	yes	characteristic
35	C₂×#126	C₂²	1	1	yes	characteristic
36	C₂×#126	C₂²	1	1	yes	characteristic, complemented
37	C₂×#124	C₂²	1	1	yes	characteristic, complemented
38	C₂×#124	C₂²	1	1	yes	characteristic, complemented
39	C₂×#123	C₂²	1	1	yes	characteristic
40	C₂×#123	C₂²	1	1	yes	characteristic
41	C₂×#123	C₂²	1	1	yes	characteristic, complemented
42	C₂×#123	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×#121	C₂²	1	1	yes	characteristic
46	C₂×#120	C₂²	1	1	yes	characteristic
47	C₂×#120	C₂²	1	1	yes	characteristic
48	C₂×#120	C₂²	1	1	yes	characteristic
49	C₂×#120	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
56	C₂×#117	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
58	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
59	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	#399	C₂²	1	1	yes	characteristic, complemented
61	#399	C₂²	1	1	yes	characteristic, complemented
62	#398	C₂²	1	1	yes	characteristic, complemented
63	#398	C₂²	1	1	yes	characteristic, complemented
64	#398	C₂²	1	1	yes	characteristic, complemented
65	#397	C₂²	1	1	yes	characteristic, complemented
66	#397	C₂²	1	1	yes	characteristic, complemented
67	#397	C₂²	1	1	yes	characteristic, complemented
68	#397	C₂²	1	1	yes	characteristic, complemented
69	#397	C₂²	1	1	yes	characteristic, complemented
70	#396	C₂²	1	1	yes	characteristic
71	#396	C₂²	1	1	yes	characteristic, complemented
72	#396	C₂²	1	1	yes	characteristic, complemented
73	#396	C₂²	1	1	yes	characteristic, complemented
74	#396	C₂²	1	1	yes	characteristic, complemented
75	#396	C₂²	1	1	yes	characteristic, complemented
76	#395	C₂²	1	1	yes	characteristic, complemented
77	#394	C₂²	1	1	yes	characteristic
78	#394	C₂²	1	1	yes	characteristic
79	#394	C₂²	1	1	yes	characteristic
80	#394	C₂²	1	1	yes	characteristic
81	#394	C₂²	1	1	yes	characteristic
82	#394	C₂²	1	1	yes	characteristic
83	#394	C₂²	1	1	yes	characteristic
84	#394	C₂²	1	1	yes	characteristic
85	#394	C₂²	1	1	yes	characteristic, complemented
86	#394	C₂²	1	1	yes	characteristic, complemented
87	#394	C₂²	1	1	yes	characteristic, complemented
88	#394	C₂²	1	1	yes	characteristic, complemented
89	#394	C₂²	1	1	yes	characteristic, complemented
90	#394	C₂²	1	1	yes	characteristic, complemented
91	#394	C₂²	1	1	yes	characteristic, complemented
92	#394	C₂²	1	1	yes	characteristic, complemented
93	#394	C₂²	1	1	yes	characteristic, complemented
94	#394	C₂²	1	1	yes	characteristic, complemented
95	#393	C₂²	1	1	yes	characteristic
96	#392	C₂²	1	1	yes	characteristic
97	#392	C₂²	1	1	yes	characteristic
98	#392	C₂²	1	1	yes	characteristic
99	#392	C₂²	1	1	yes	characteristic
100	#391	C₂²	1	1	yes	characteristic, complemented
101	#390	C₂²	1	1	yes	characteristic
102	#390	C₂²	1	1	yes	characteristic
103	#390	C₂²	1	1	yes	characteristic
104	#390	C₂²	1	1	yes	characteristic
105	#390	C₂²	1	1	yes	characteristic
106	#390	C₂²	1	1	yes	characteristic
107	#390	C₂²	1	1	yes	characteristic, complemented
108	#390	C₂²	1	1	yes	characteristic, complemented
109	#390	C₂²	1	1	yes	characteristic, complemented
110	#390	C₂²	1	1	yes	characteristic, complemented
111	#390	C₂²	1	1	yes	characteristic, complemented
112	#390	C₂²	1	1	yes	characteristic, complemented
113	#389	C₂²	1	1	yes	characteristic, complemented
114	#388	C₂²	1	1	yes	characteristic
115	#388	C₂²	1	1	yes	characteristic
116	#388	C₂²	1	1	yes	characteristic
117	#388	C₂²	1	1	yes	characteristic
118	#388	C₂²	1	1	yes	characteristic
119	#388	C₂²	1	1	yes	characteristic, complemented
120	#388	C₂²	1	1	yes	characteristic, complemented
121	#388	C₂²	1	1	yes	characteristic, complemented
122	#388	C₂²	1	1	yes	characteristic, complemented
123	#388	C₂²	1	1	yes	characteristic, complemented
124	#388	C₂²	1	1	yes	characteristic, complemented
125	#388	C₂²	1	1	yes	characteristic, complemented
126	#388	C₂²	1	1	yes	characteristic, complemented
127	#388	C₂²	1	1	yes	characteristic, complemented
128	#388	C₂²	1	1	yes	characteristic, complemented
129	#388	C₂²	1	1	yes	characteristic, complemented
130	#388	C₂²	1	1	yes	characteristic, complemented
131	#388	C₂²	1	1	yes	characteristic, complemented
132	#387	C₂²	1	1	yes	characteristic, complemented
133	#387	C₂²	1	1	yes	characteristic, complemented
134	#387	C₂²	1	1	yes	characteristic, complemented
135	#387	C₂²	1	1	yes	characteristic, complemented
136	#387	C₂²	1	1	yes	characteristic, complemented
137	#387	C₂²	1	1	yes	characteristic, complemented
138	#387	C₂²	1	1	yes	characteristic, complemented
139	#387	C₂²	1	1	yes	characteristic, complemented
140	#386	C₂²	1	1	yes	characteristic
141	#386	C₂²	1	1	yes	characteristic
142	#386	C₂²	1	1	yes	characteristic
143	#386	C₂²	1	1	yes	characteristic
144	#386	C₂²	1	1	yes	characteristic
145	#386	C₂²	1	1	yes	characteristic
146	#386	C₂²	1	1	yes	characteristic
147	#386	C₂²	1	1	yes	characteristic
148	#386	C₂²	1	1	yes	characteristic, complemented
149	#386	C₂²	1	1	yes	characteristic, complemented
150	#386	C₂²	1	1	yes	characteristic, complemented
151	#386	C₂²	1	1	yes	characteristic, complemented
152	#386	C₂²	1	1	yes	characteristic, complemented
153	#386	C₂²	1	1	yes	characteristic, complemented
154	#386	C₂²	1	1	yes	characteristic, complemented
155	#386	C₂²	1	1	yes	characteristic, complemented
156	#386	C₂²	1	1	yes	characteristic, complemented
157	#386	C₂²	1	1	yes	characteristic, complemented
158	#386	C₂²	1	1	yes	characteristic, complemented
159	#386	C₂²	1	1	yes	characteristic, complemented
160	#385	C₂²	1	1	yes	characteristic
161	#385	C₂²	1	1	yes	characteristic
162	#385	C₂²	1	1	yes	characteristic, complemented
163	#385	C₂²	1	1	yes	characteristic, complemented
164	#385	C₂²	1	1	yes	characteristic, complemented
165	#385	C₂²	1	1	yes	characteristic, complemented
166	#382	C₂²	1	1	yes	characteristic, complemented
167	#381	C₂²	1	1	yes	characteristic, complemented
168	#380	C₂²	1	1	yes	characteristic
169	#380	C₂²	1	1	yes	characteristic, complemented
170	#379	C₂²	1	1	yes	characteristic
171	#379	C₂²	1	1	yes	characteristic
172	#379	C₂²	1	1	yes	characteristic
173	#379	C₂²	1	1	yes	characteristic
174	#379	C₂²	1	1	yes	characteristic
175	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
184	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	#376	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵	C₂³	1	1	yes	characteristic
188	C₂⁵	C₂³	1	1	yes	characteristic
189	C₂²×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×D₄	—	2	4	no	—
191	C₂²×D₄	—	4	2	no	—
192	C₂²×D₄	—	4	2	no	—
193	C₂²×D₄	C₂³	1	1	yes	characteristic
194	C₂²×D₄	C₂³	1	1	yes	characteristic
195	C₂²×D₄	C₂³	1	1	yes	characteristic
196	C₂²×D₄	C₂³	1	1	yes	characteristic
197	C₂²×D₄	C₂³	1	1	yes	characteristic
198	C₂²×D₄	C₂³	1	1	yes	characteristic
199	C₂²×D₄	C₂³	1	1	yes	characteristic
200	C₂²×D₄	C₂³	1	1	yes	characteristic
201	C₂²×D₄	C₂³	1	1	yes	characteristic
202	C₂²×D₄	C₂³	1	1	yes	characteristic
203	C₂²×D₄	C₂³	1	1	yes	characteristic
204	C₂²×D₄	C₂³	1	1	yes	characteristic
205	C₂²×D₄	C₂³	1	1	yes	characteristic
206	C₂²×D₄	C₂³	1	1	yes	characteristic
207	C₂²×D₄	C₂³	1	1	yes	characteristic
208	C₂³×C₄	C₂³	1	1	yes	characteristic
209	C₂³×C₄	C₂³	1	1	yes	characteristic
210	C₂³×C₄	C₂³	1	1	yes	characteristic
211	C₂³×C₄	C₂³	1	1	yes	characteristic
212	C₂³×C₄	C₂³	1	1	yes	characteristic
213	C₂³×C₄	C₂³	1	1	yes	characteristic
214	C₂³×C₄	C₂³	1	1	yes	characteristic
215	C₂³×C₄	C₂³	1	1	yes	characteristic
216	C₂³×C₄	C₂³	1	1	yes	characteristic
217	#127	—	2	4	no	—
218	#127	—	4	2	no	—
219	#126	—	2	4	no	—
220	#126	—	4	2	no	—
221	#124	—	4	2	no	—
222	#124	—	4	2	no	—
223	#123	—	2	4	no	—
224	#123	—	4	2	no	—
225	#123	—	4	2	no	—
226	#123	—	4	2	no	—
227	C₂²⋊Q₈	—	4	2	no	—
228	C₂²⋊Q₈	—	4	2	no	—
229	#121	—	4	2	no	—
230	#120	—	2	4	no	—
231	#120	—	2	4	no	—
232	#120	—	4	2	no	—
233	#120	—	4	2	no	—
234	C₄×D₄	—	4	2	no	—
235	C₄×D₄	—	4	2	no	—
236	C₄×D₄	—	4	2	no	—
237	C₄×D₄	—	4	2	no	—
238	C₄×D₄	—	4	2	no	—
239	C₄×D₄	—	4	2	no	—
240	#117	—	4	2	no	—
241	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄	—	4	2	no	—
266	C₂×C₂²⋊C₄	—	4	2	no	—
267	C₂×C₂²⋊C₄	—	4	2	no	—
268	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
328	C₂×C₄²	C₂³	1	1	yes	characteristic
329	C₂×C₄²	C₂³	1	1	yes	characteristic
330	C₂×C₄²	C₂³	1	1	yes	characteristic
331	C₂×C₄²	C₂³	1	1	yes	characteristic
332	C₂×C₄²	C₂³	1	1	yes	characteristic
333	C₂×C₄²	C₂³	1	1	yes	characteristic
334	C₂×C₄²	C₂³	1	1	yes	characteristic
335	C₂×C₄²	C₂³	1	1	yes	characteristic
336	C₂×C₄²	C₂³	1	1	yes	characteristic
337	C₂×C₄²	C₂³	1	1	yes	characteristic
338	C₂×C₄²	C₂³	1	1	yes	characteristic
339	C₂×C₄²	C₂³	1	1	yes	characteristic
340	#95	C₂³	1	1	yes	characteristic
341	#95	C₂³	1	1	yes	characteristic
342	#95	C₂³	1	1	yes	characteristic
343	#95	C₂³	1	1	yes	characteristic
344	#95	C₂³	1	1	yes	characteristic
345	#95	C₂³	1	1	yes	characteristic
346	#95	C₂³	1	1	yes	characteristic
347	#95	C₂³	1	1	yes	characteristic
348	#95	C₂³	1	1	yes	characteristic
349	#95	C₂³	1	1	yes	characteristic
350	#95	C₂³	1	1	yes	characteristic
351	#95	C₂³	1	1	yes	characteristic
352	#95	C₂³	1	1	yes	characteristic
353	#95	C₂³	1	1	yes	characteristic
354	#95	C₂³	1	1	yes	characteristic
355	#95	C₂³	1	1	yes	characteristic
356	#95	C₂³	1	1	yes	characteristic
357	#95	C₂³	1	1	yes	characteristic
358	#95	C₂³	1	1	yes	characteristic
359	#95	C₂³	1	1	yes	characteristic
360	#95	C₂³	1	1	yes	characteristic
361	#95	C₂³	1	1	yes	characteristic
362	#95	C₂³	1	1	yes	characteristic
363	#95	C₂³	1	1	yes	characteristic
364	#95	C₂³	1	1	yes	characteristic
365	#95	C₂³	1	1	yes	characteristic
366	#95	C₂³	1	1	yes	characteristic
367	#95	C₂³	1	1	yes	characteristic
368	#95	C₂³	1	1	yes	characteristic
369	#95	C₂³	1	1	yes	characteristic
370	#95	C₂³	1	1	yes	characteristic
371	#95	C₂³	1	1	yes	characteristic
372	C₂⁴	—	2	2	no	—
373	C₂⁴	—	2	2	no	—
374	C₂⁴	—	2	2	no	—
375	C₂⁴	—	2	2	no	—
376	C₂⁴	—	2	2	no	—
377	C₂⁴	—	4	1	no	—
378	C₂⁴	—	4	1	no	—
379	C₂⁴	—	4	1	no	—
380	C₂⁴	—	4	1	no	—
381	C₂⁴	—	4	1	no	—
382	C₂⁴	—	4	1	no	—
383	C₂⁴	—	4	1	no	—
384	C₂⁴	—	4	1	no	—
385	C₂⁴	—	4	1	no	—
386	C₂⁴	C₂⁴	1	1	yes	characteristic
387	C₂⁴	C₂⁴	1	1	yes	characteristic
388	C₂⁴	C₂⁴	1	1	yes	characteristic
389	C₂⁴	C₂⁴	1	1	yes	characteristic
390	C₂⁴	C₂⁴	1	1	yes	characteristic
391	C₂⁴	C₂⁴	1	1	yes	characteristic
392	C₂⁴	C₂⁴	1	1	yes	characteristic
393	C₂×Q₈	—	2	2	no	—
394	C₂×Q₈	—	4	1	no	—
395	C₂×Q₈	—	4	1	no	—
396	C₂×D₄	—	2	2	no	—
397	C₂×D₄	—	2	2	no	—
398	C₂×D₄	—	2	2	no	—
399	C₂×D₄	—	2	2	no	—
400	C₂×D₄	—	2	2	no	—
401	C₂×D₄	—	2	2	no	—
402	C₂×D₄	—	2	2	no	—
403	C₂×D₄	—	2	2	no	—
404	C₂×D₄	—	2	2	no	—
405	C₂×D₄	—	2	2	no	—
406	C₂×D₄	—	2	2	no	—
407	C₂×D₄	—	2	2	no	—
408	C₂×D₄	—	2	2	no	—
409	C₂×D₄	—	2	2	no	—
410	C₂×D₄	—	2	2	no	—
411	C₂×D₄	—	2	2	no	—
412	C₂×D₄	—	2	2	no	—
413	C₂×D₄	—	2	2	no	—
414	C₂×D₄	—	2	2	no	—
415	C₂×D₄	—	2	2	no	—
416	C₂×D₄	—	2	2	no	—
417	C₂×D₄	—	2	2	no	—
418	C₂×D₄	—	4	1	no	—
419	C₂×D₄	—	4	1	no	—
420	C₂×D₄	—	4	1	no	—
421	C₂×D₄	—	4	1	no	—
422	C₂×D₄	—	4	1	no	—
423	C₂×D₄	—	4	1	no	—
424	C₂×D₄	—	4	1	no	—
425	C₂×D₄	—	4	1	no	—
426	C₂×D₄	—	4	1	no	—
427	C₂×D₄	—	4	1	no	—
428	C₂×D₄	—	4	1	no	—
429	C₂×D₄	—	4	1	no	—
430	C₂×D₄	—	4	1	no	—
431	C₂×D₄	—	4	1	no	—
432	C₂×D₄	—	4	1	no	—
433	C₂×D₄	—	4	1	no	—
434	C₂×D₄	—	4	1	no	—
435	C₂×D₄	—	4	1	no	—
436	C₂×D₄	—	4	1	no	—
437	C₂×D₄	—	4	1	no	—
438	C₂×D₄	—	4	1	no	—
439	C₂×D₄	—	4	1	no	—
440	C₂×D₄	—	4	16	no	—
441	C₂×D₄	#41	1	4	yes	—
442	C₂²×C₄	—	2	2	no	—
443	C₂²×C₄	—	2	2	no	—
444	C₂²×C₄	—	2	2	no	—
445	C₂²×C₄	—	2	2	no	—
446	C₂²×C₄	—	2	2	no	—
447	C₂²×C₄	—	2	2	no	—
448	C₂²×C₄	—	2	2	no	—
449	C₂²×C₄	—	4	1	no	—
450	C₂²×C₄	—	4	1	no	—
451	C₂²×C₄	—	4	1	no	—
452	C₂²×C₄	—	4	1	no	—
453	C₂²×C₄	—	4	1	no	—
454	C₂²×C₄	—	4	1	no	—
455	C₂²×C₄	—	4	1	no	—
456	C₂²×C₄	—	4	1	no	—
457	C₂²×C₄	—	4	1	no	—
458	C₂²×C₄	—	4	1	no	—
459	C₂²×C₄	—	4	1	no	—
460	C₂²×C₄	—	4	1	no	—
461	C₂²×C₄	—	4	1	no	—
462	C₂²×C₄	—	4	1	no	—
463	C₂²×C₄	—	4	1	no	—
464	C₂²×C₄	—	4	1	no	—
465	C₂²×C₄	—	4	1	no	—
466	C₂²×C₄	—	4	1	no	—
467	C₂²×C₄	—	4	1	no	—
468	C₂²×C₄	—	4	1	no	—
469	C₂²×C₄	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄	C₂⁴	1	1	yes	characteristic
484	C₂²×C₄	C₂⁴	1	1	yes	characteristic
485	C₂²×C₄	C₂⁴	1	1	yes	characteristic
486	C₂²×C₄	C₂⁴	1	1	yes	characteristic
487	C₂²×C₄	C₂⁴	1	1	yes	characteristic
488	C₂²×C₄	C₂⁴	1	1	yes	characteristic
489	C₂²×C₄	C₂⁴	1	1	yes	characteristic
490	C₂²×C₄	C₂⁴	1	1	yes	characteristic
491	C₂²×C₄	C₂⁴	1	1	yes	characteristic
492	C₂²×C₄	C₂⁴	1	1	yes	characteristic
493	C₄⋊C₄	—	2	2	no	—
494	C₄⋊C₄	—	2	2	no	—
495	C₄⋊C₄	—	2	2	no	—
496	C₄⋊C₄	—	2	2	no	—
497	C₄⋊C₄	—	2	2	no	—
498	C₄⋊C₄	—	2	2	no	—
499	C₄⋊C₄	—	2	2	no	—
500	C₄⋊C₄	—	2	2	no	—
501	C₄⋊C₄	—	2	2	no	—
502	C₄⋊C₄	—	2	2	no	—
503	C₄⋊C₄	—	2	2	no	—
504	C₄⋊C₄	—	4	1	no	—
505	C₄⋊C₄	—	4	1	no	—
506	C₄⋊C₄	—	4	1	no	—
507	C₄⋊C₄	—	4	1	no	—
508	C₄⋊C₄	—	4	1	no	—
509	C₄⋊C₄	—	4	1	no	—
510	C₄⋊C₄	—	4	1	no	—
511	C₄⋊C₄	—	4	1	no	—
512	C₄⋊C₄	—	4	1	no	—
513	C₄⋊C₄	—	4	1	no	—
514	C₄⋊C₄	—	4	1	no	—
515	C₄⋊C₄	—	4	1	no	—
516	C₄⋊C₄	—	4	1	no	—
517	C₂²⋊C₄	—	2	2	no	—
518	C₂²⋊C₄	—	2	2	no	—
519	C₂²⋊C₄	—	2	2	no	—
520	C₂²⋊C₄	—	2	2	no	—
521	C₂²⋊C₄	—	2	2	no	—
522	C₂²⋊C₄	—	2	2	no	—
523	C₂²⋊C₄	—	2	2	no	—
524	C₂²⋊C₄	—	2	2	no	—
525	C₂²⋊C₄	—	2	2	no	—
526	C₂²⋊C₄	—	2	2	no	—
527	C₂²⋊C₄	—	2	2	no	—
528	C₂²⋊C₄	—	2	2	no	—
529	C₂²⋊C₄	—	2	2	no	—
530	C₂²⋊C₄	—	2	2	no	—
531	C₂²⋊C₄	—	2	2	no	—
532	C₂²⋊C₄	—	2	2	no	—
533	C₂²⋊C₄	—	2	2	no	—
534	C₂²⋊C₄	—	2	2	no	—
535	C₂²⋊C₄	—	2	2	no	—
536	C₂²⋊C₄	—	2	2	no	—
537	C₂²⋊C₄	—	2	2	no	—
538	C₂²⋊C₄	—	4	1	no	—
539	C₂²⋊C₄	—	4	1	no	—
540	C₂²⋊C₄	—	4	1	no	—
541	C₂²⋊C₄	—	4	1	no	—
542	C₂²⋊C₄	—	4	1	no	—
543	C₂²⋊C₄	—	4	1	no	—
544	C₂²⋊C₄	—	4	1	no	—
545	C₂²⋊C₄	—	4	1	no	—
546	C₂²⋊C₄	—	4	1	no	—
547	C₂²⋊C₄	—	4	1	no	—
548	C₂²⋊C₄	—	4	1	no	—
549	C₂²⋊C₄	—	4	1	no	—
550	C₂²⋊C₄	—	4	1	no	—
551	C₂²⋊C₄	—	4	1	no	—
552	C₂²⋊C₄	—	4	1	no	—
553	C₂²⋊C₄	—	4	1	no	—
554	C₂²⋊C₄	—	4	1	no	—
555	C₂²⋊C₄	—	4	1	no	—
556	C₂²⋊C₄	—	4	1	no	—
557	C₂²⋊C₄	—	4	1	no	—
558	C₂²⋊C₄	—	4	1	no	—
559	C₂²⋊C₄	—	4	1	no	—
560	C₂²⋊C₄	—	4	1	no	—
561	C₂²⋊C₄	—	4	1	no	—
562	C₂²⋊C₄	—	4	1	no	—
563	C₂²⋊C₄	—	4	1	no	—
564	C₂²⋊C₄	—	4	1	no	—
565	C₂²⋊C₄	—	4	1	no	—
566	C₂²⋊C₄	—	4	1	no	—
567	C₂²⋊C₄	—	4	1	no	—
568	C₂²⋊C₄	—	4	1	no	—
569	C₂²⋊C₄	—	4	1	no	—
570	C₂²⋊C₄	—	4	1	no	—
571	C₂²⋊C₄	—	4	1	no	—
572	C₂²⋊C₄	—	4	1	no	—
573	C₂²⋊C₄	—	4	1	no	—
574	C₂²⋊C₄	—	4	1	no	—
575	C₂²⋊C₄	—	4	1	no	—
576	C₂²⋊C₄	#41	1	4	yes	—
577	C₄²	—	2	2	no	—
578	C₄²	—	2	2	no	—
579	C₄²	—	2	2	no	—
580	C₄²	—	2	2	no	—
581	C₄²	—	2	2	no	—
582	C₄²	—	4	1	no	—
583	C₄²	—	4	1	no	—
584	C₄²	—	4	1	no	—
585	C₄²	—	4	1	no	—
586	C₄²	—	4	1	no	—
587	C₄²	—	4	1	no	—
588	C₄²	—	4	1	no	—
589	C₂³	—	2	1	no	—
590	C₂³	—	2	1	no	—
591	C₂³	—	2	1	no	—
592	C₂³	—	2	1	no	—
593	C₂³	—	2	1	no	—
594	C₂³	—	2	1	no	—
595	C₂³	—	2	1	no	—
596	C₂³	—	2	1	no	—
597	C₂³	—	2	1	no	—
598	C₂³	—	2	1	no	—
599	C₂³	—	2	1	no	—
600	C₂³	—	2	1	no	—
601	C₂³	—	2	1	no	—
602	C₂³	—	2	1	no	—
603	C₂³	—	2	1	no	—
604	C₂³	—	2	1	no	—
605	C₂³	—	2	1	no	—
606	C₂³	—	2	1	no	—
607	C₂³	—	2	1	no	—
608	C₂³	—	2	1	no	—
609	C₂³	—	2	1	no	—
610	C₂³	—	2	1	no	—
611	C₂³	—	2	1	no	—
612	C₂³	—	2	1	no	—
613	C₂³	—	2	1	no	—
614	C₂³	—	2	1	no	—
615	C₂³	—	2	1	no	—
616	C₂³	—	2	1	no	—
617	C₂³	—	2	1	no	—
618	C₂³	—	2	1	no	—
619	C₂³	—	2	1	no	—
620	C₂³	—	2	1	no	—
621	C₂³	—	2	1	no	—
622	C₂³	—	2	1	no	—
623	C₂³	—	2	1	no	—
624	C₂³	—	2	1	no	—
625	C₂³	—	2	1	no	—
626	C₂³	—	2	1	no	—
627	C₂³	—	2	1	no	—
628	C₂³	—	2	1	no	—
629	C₂³	—	2	1	no	—
630	C₂³	—	2	1	no	—
631	C₂³	—	2	1	no	—
632	C₂³	—	2	1	no	—
633	C₂³	—	2	1	no	—
634	C₂³	—	4	4	no	—
635	C₂³	—	4	4	no	—
636	C₂³	—	4	4	no	—
637	C₂³	—	4	4	no	—
638	C₂³	—	4	4	no	—
639	C₂³	—	8	2	no	—
640	C₂³	—	8	2	no	—
641	C₂³	—	8	2	no	—
642	C₂³	—	8	2	no	—
643	C₂³	—	8	2	no	—
644	C₂³	—	8	2	no	—
645	C₂³	—	8	2	no	—
646	C₂³	—	8	2	no	—
647	C₂³	—	8	2	no	—
648	C₂³	C₂×#41	1	2	yes	—
649	C₂³	C₂×#41	1	2	yes	—
650	C₂³	C₂×#41	1	2	yes	—
651	C₂³	H(5,𝔽₂)	1	2	yes	—
652	C₂³	C₂⁵	1	1	yes	characteristic
653	Q₈	—	8	2	no	—
654	D₄	—	2	8	no	—
655	D₄	—	4	4	no	—
656	D₄	—	4	4	no	—
657	D₄	—	4	4	no	—
658	D₄	—	4	4	no	—
659	D₄	—	4	4	no	—
660	D₄	—	4	4	no	—
661	D₄	—	4	4	no	—
662	D₄	—	8	2	no	—
663	D₄	—	8	2	no	—
664	D₄	—	8	2	no	—
665	D₄	—	8	2	no	—
666	D₄	—	8	2	no	—
667	D₄	—	8	2	no	—
668	D₄	—	8	2	no	—
669	C₂×C₄	—	2	1	no	—
670	C₂×C₄	—	2	1	no	—
671	C₂×C₄	—	2	1	no	—
672	C₂×C₄	—	2	1	no	—
673	C₂×C₄	—	2	1	no	—
674	C₂×C₄	—	2	1	no	—
675	C₂×C₄	—	2	1	no	—
676	C₂×C₄	—	2	1	no	—
677	C₂×C₄	—	2	1	no	—
678	C₂×C₄	—	2	1	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	1	no	—
682	C₂×C₄	—	2	1	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	2	1	no	—
688	C₂×C₄	—	2	1	no	—
689	C₂×C₄	—	2	1	no	—
690	C₂×C₄	—	2	1	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	1	no	—
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	1	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	2	1	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	2	1	no	—
700	C₂×C₄	—	2	1	no	—
701	C₂×C₄	—	2	1	no	—
702	C₂×C₄	—	2	1	no	—
703	C₂×C₄	—	2	1	no	—
704	C₂×C₄	—	2	1	no	—
705	C₂×C₄	—	2	1	no	—
706	C₂×C₄	—	2	1	no	—
707	C₂×C₄	—	2	1	no	—
708	C₂×C₄	—	2	1	no	—
709	C₂×C₄	—	2	1	no	—
710	C₂×C₄	—	2	1	no	—
711	C₂×C₄	—	2	1	no	—
712	C₂×C₄	—	2	1	no	—
713	C₂×C₄	—	2	1	no	—
714	C₂×C₄	—	2	1	no	—
715	C₂×C₄	—	2	1	no	—
716	C₂×C₄	—	2	1	no	—
717	C₂×C₄	—	2	1	no	—
718	C₂×C₄	—	2	1	no	—
719	C₂×C₄	—	2	1	no	—
720	C₂×C₄	—	2	1	no	—
721	C₂×C₄	—	2	1	no	—
722	C₂×C₄	—	2	1	no	—
723	C₂×C₄	—	2	1	no	—
724	C₂×C₄	—	2	1	no	—
725	C₂×C₄	—	2	1	no	—
726	C₂×C₄	—	2	1	no	—
727	C₂×C₄	—	2	1	no	—
728	C₂×C₄	—	2	1	no	—
729	C₂×C₄	—	2	1	no	—
730	C₂×C₄	—	2	1	no	—
731	C₂×C₄	—	2	1	no	—
732	C₂×C₄	—	2	1	no	—
733	C₂×C₄	—	2	1	no	—
734	C₂×C₄	—	2	1	no	—
735	C₂×C₄	—	4	4	no	—
736	C₂×C₄	—	4	4	no	—
737	C₂×C₄	—	8	2	no	—
738	C₂×C₄	—	8	2	no	—
739	C₂×C₄	—	8	2	no	—
740	C₂×C₄	—	8	2	no	—
741	C₂×C₄	—	8	2	no	—
742	C₂×C₄	—	8	2	no	—
743	C₂×C₄	—	8	2	no	—
744	C₂×C₄	C₂×#41	1	2	yes	—
745	C₂×C₄	C₂×#41	1	2	yes	—
746	C₂×C₄	C₂×#41	1	2	yes	—
747	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
748	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
749	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
750	C₂²	—	2	2	no	—
751	C₂²	—	2	2	no	—
752	C₂²	—	2	2	no	—
753	C₂²	—	2	2	no	—
754	C₂²	—	2	2	no	—
755	C₂²	—	2	2	no	—
756	C₂²	—	2	2	no	—
757	C₂²	—	2	2	no	—
758	C₂²	—	2	2	no	—
759	C₂²	—	2	2	no	—
760	C₂²	—	2	2	no	—
761	C₂²	—	2	2	no	—
762	C₂²	—	4	1	no	—
763	C₂²	—	4	1	no	—
764	C₂²	—	4	1	no	—
765	C₂²	—	4	1	no	—
766	C₂²	—	4	1	no	—
767	C₂²	—	4	1	no	—
768	C₂²	—	4	1	no	—
769	C₂²	—	4	1	no	—
770	C₂²	—	4	1	no	—
771	C₂²	—	4	1	no	—
772	C₂²	—	4	1	no	—
773	C₂²	—	4	1	no	—
774	C₂²	—	4	1	no	—
775	C₂²	—	4	1	no	—
776	C₂²	—	4	1	no	—
777	C₂²	—	4	1	no	—
778	C₂²	—	4	1	no	—
779	C₂²	—	4	1	no	—
780	C₂²	—	4	1	no	—
781	C₂²	—	4	1	no	—
782	C₂²	—	4	1	no	—
783	C₂²	—	4	1	no	—
784	C₂²	—	4	1	no	—
785	C₂²	—	4	1	no	—
786	C₂²	—	4	1	no	—
787	C₂²	—	4	1	no	—
788	C₂²	—	4	1	no	—
789	C₂²	—	4	1	no	—
790	C₂²	—	4	1	no	—
791	C₂²	—	4	1	no	—
792	C₂²	—	4	1	no	—
793	C₂²	—	4	1	no	—
794	C₂²	—	4	1	no	—
795	C₂²	—	4	1	no	—
796	C₂²	—	4	1	no	—
797	C₂²	—	4	1	no	—
798	C₂²	—	4	1	no	—
799	C₂²	—	8	8	no	—
800	C₂²	—	8	8	no	—
801	C₂²	C₂²×#41	1	1	yes	characteristic
802	C₂²	C₂²×#41	1	1	yes	characteristic
803	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
804	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
805	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
806	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
807	C₂²	#585	1	1	yes	characteristic
808	C₄	—	2	2	no	—
809	C₄	—	2	2	no	—
810	C₄	—	2	2	no	—
811	C₄	—	2	2	no	—
812	C₄	—	2	2	no	—
813	C₄	—	2	2	no	—
814	C₄	—	4	1	no	—
815	C₄	—	4	1	no	—
816	C₄	—	4	1	no	—
817	C₄	—	4	1	no	—
818	C₄	—	4	1	no	—
819	C₄	—	4	1	no	—
820	C₄	—	4	1	no	—
821	C₄	—	4	1	no	—
822	C₄	—	4	1	no	—
823	C₄	—	4	1	no	—
824	C₄	—	4	1	no	—
825	C₄	—	4	1	no	—
826	C₄	—	4	1	no	—
827	C₄	—	4	1	no	—
828	C₄	—	4	1	no	—
829	C₄	—	4	1	no	—
830	C₄	—	4	1	no	—
831	C₄	—	4	1	no	—
832	C₂	—	4	2	no	—
833	C₂	—	4	2	no	—
834	C₂	—	4	2	no	—
835	C₂	—	4	2	no	—
836	C₂	—	8	1	no	—
837	C₂	—	8	1	no	—
838	C₂	—	8	1	no	—
839	C₂	#3481	1	1	yes	characteristic
840	C₂	#3490	1	1	yes	characteristic
841	C₂	#3508	1	1	yes	characteristic
842	C₂	#3513	1	1	yes	characteristic
843	C₂	#3514	1	1	yes	characteristic
844	C₂	#3537	1	1	yes	characteristic
845	C₂	#3542	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁵
prime radical	#2433	C₂
LCS	G ▷ C₂³ ▷ 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
1. #2797	C₂	semidirect
2. #2761	C₂	semidirect
3. #2732	C₂	semidirect
4. #2709	C₂	semidirect
5. #2697	C₂	semidirect
6. #2691	C₂	semidirect
7. #2685	C₂	semidirect
8. #2685	C₂	semidirect
9. #2600	C₂	semidirect
10. #2574	C₂	semidirect
11. #2554	C₂	semidirect
12. #2544	C₂	semidirect
13. #2534	C₂	semidirect
14. #2531	C₂	semidirect
15. #2476	C₂	semidirect
16. #2472	C₂	semidirect
17. #2472	C₂	semidirect
18. #2471	C₂	semidirect
19. #2467	C₂	semidirect
20. #2461	C₂	semidirect
21. #2461	C₂	semidirect
22. #2445	C₂	semidirect
24. #2405	C₂	semidirect
25. #2392	C₂	semidirect
26. #2374	C₂	semidirect
27. #2373	C₂	semidirect
28. #2358	C₂	semidirect
29. D₄×C₂²⋊C₄	C₂	semidirect
30. #2328	C₂	semidirect
31. #2321	C₂	semidirect
36. C₂×#126	C₂²	semidirect
37. C₂×#124	C₂²	semidirect
38. C₂×#124	C₂²	semidirect
41. C₂×#123	C₂²	semidirect
42. C₂×#123	C₂²	semidirect
43. C₂×C₂²⋊Q₈	C₂²	semidirect
44. C₂×C₂²⋊Q₈	C₂²	semidirect
52. C₂×C₄×D₄	C₂²	semidirect
53. C₂×C₄×D₄	C₂²	semidirect
54. C₂×C₄×D₄	C₂²	semidirect
55. C₂×C₄×D₄	C₂²	semidirect
56. C₂×#117	C₂²	semidirect
60. #399	C₂²	semidirect
61. #399	C₂²	semidirect
62. #398	C₂²	semidirect
63. #398	C₂²	semidirect
64. #398	C₂²	semidirect
65. #397	C₂²	semidirect
66. #397	C₂²	semidirect
67. #397	C₂²	semidirect
68. #397	C₂²	semidirect
69. #397	C₂²	semidirect
71. #396	C₂²	semidirect
72. #396	C₂²	semidirect
73. #396	C₂²	semidirect
74. #396	C₂²	semidirect
75. #396	C₂²	semidirect
76. #395	C₂²	semidirect
85. #394	C₂²	semidirect
86. #394	C₂²	semidirect
87. #394	C₂²	semidirect
88. #394	C₂²	semidirect
89. #394	C₂²	semidirect
90. #394	C₂²	semidirect
91. #394	C₂²	semidirect
92. #394	C₂²	semidirect
93. #394	C₂²	semidirect
94. #394	C₂²	semidirect
100. #391	C₂²	semidirect
107. #390	C₂²	semidirect
108. #390	C₂²	semidirect
109. #390	C₂²	semidirect
110. #390	C₂²	semidirect
111. #390	C₂²	semidirect
112. #390	C₂²	semidirect
113. #389	C₂²	semidirect
119. #388	C₂²	semidirect
120. #388	C₂²	semidirect
121. #388	C₂²	semidirect
122. #388	C₂²	semidirect
123. #388	C₂²	semidirect
124. #388	C₂²	semidirect
125. #388	C₂²	semidirect
126. #388	C₂²	semidirect
127. #388	C₂²	semidirect
128. #388	C₂²	semidirect
129. #388	C₂²	semidirect
130. #388	C₂²	semidirect
131. #388	C₂²	semidirect
132. #387	C₂²	semidirect
133. #387	C₂²	semidirect
134. #387	C₂²	semidirect
135. #387	C₂²	semidirect
136. #387	C₂²	semidirect
137. #387	C₂²	semidirect
138. #387	C₂²	semidirect
139. #387	C₂²	semidirect
148. #386	C₂²	semidirect
149. #386	C₂²	semidirect
150. #386	C₂²	semidirect
151. #386	C₂²	semidirect
152. #386	C₂²	semidirect
153. #386	C₂²	semidirect
154. #386	C₂²	semidirect
155. #386	C₂²	semidirect
156. #386	C₂²	semidirect
157. #386	C₂²	semidirect
158. #386	C₂²	semidirect
159. #386	C₂²	semidirect
162. #385	C₂²	semidirect
163. #385	C₂²	semidirect
164. #385	C₂²	semidirect
165. #385	C₂²	semidirect
166. #382	C₂²	semidirect
167. #381	C₂²	semidirect
169. #380	C₂²	semidirect
175. C₄×C₄⋊C₄	C₂²	semidirect
176. C₄×C₄⋊C₄	C₂²	semidirect
177. C₄×C₄⋊C₄	C₂²	semidirect
178. C₄×C₄⋊C₄	C₂²	semidirect
181. C₄×C₂²⋊C₄	C₂²	semidirect
182. C₄×C₂²⋊C₄	C₂²	semidirect
183. C₄×C₂²⋊C₄	C₂²	semidirect
184. C₄×C₂²⋊C₄	C₂²	semidirect
185. C₄×C₂²⋊C₄	C₂²	semidirect
186. #376	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#2797	2
#2761	2
#2732	2
#2709	2
#2697	2
#2691	2
#2685	2
#2600	2
#2574	2
#2554	2
#2544	2
#2534	2
#2531	2
#2476	2
#2472	2
#2471	2
#2467	2
#2461	2
#2445	2
#2433	2
#2405	2
#2392	2
#2374	2
#2373	2
#2358	2
D₄×C₂²⋊C₄	2
#2328	2
#2321	2