Subgroups — #38396

Order 256.

1093 conjugacy classes of subgroups.

The subgroup lattice has 810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#2849	C₂	1	1	yes	maximal, characteristic, complemented
2	#2786	C₂	1	1	yes	maximal, characteristic, complemented
3	#2784	C₂	1	1	yes	maximal, characteristic, complemented
4	#2779	C₂	1	1	yes	maximal, characteristic, complemented
5	#2778	C₂	1	1	yes	maximal, characteristic, complemented
6	#2756	C₂	1	1	yes	maximal, characteristic, complemented
7	#2708	C₂	1	1	yes	maximal, characteristic, complemented
8	#2695	C₂	1	1	yes	maximal, characteristic, complemented
9	#2686	C₂	1	1	yes	maximal, characteristic, complemented
10	#2653	C₂	1	1	yes	maximal, characteristic, complemented
11	#2648	C₂	1	1	yes	maximal, characteristic, complemented
12	#2595	C₂	1	1	yes	maximal, characteristic, complemented
13	#2578	C₂	1	1	yes	maximal, characteristic, complemented
14	#2561	C₂	1	1	yes	maximal, characteristic, complemented
15	#2559	C₂	1	1	yes	maximal, characteristic, complemented
16	#2557	C₂	1	1	yes	maximal, characteristic, complemented
17	#2493	C₂	1	1	yes	maximal, characteristic, complemented
18	#2480	C₂	1	1	yes	maximal, characteristic, complemented
19	#2472	C₂	1	1	yes	maximal, characteristic, complemented
20	#2438	C₂	1	1	yes	maximal, characteristic, complemented
21	#2419	C₂	1	1	yes	maximal, characteristic, complemented
22	#2412	C₂	1	1	yes	maximal, characteristic, complemented
23	#2411	C₂	1	1	yes	maximal, characteristic, complemented
24	#2408	C₂	1	1	yes	maximal, characteristic
25	#2405	C₂	1	1	yes	maximal, characteristic, complemented
26	#2359	C₂	1	1	yes	maximal, characteristic, complemented
27	#2342	C₂	1	1	yes	maximal, characteristic, complemented
28	#2335	C₂	1	1	yes	maximal, characteristic, complemented
29	#2333	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#386	C₂	1	1	yes	maximal, characteristic, complemented
31	#2280	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×D₄	C₂²	1	1	yes	characteristic
33	C₂⁴×C₄	C₂²	1	1	yes	characteristic
34	C₂×#126	C₂²	1	1	yes	characteristic, complemented
35	C₂×#124	C₂²	1	1	yes	characteristic, complemented
36	C₂×#123	C₂²	1	1	yes	characteristic
37	C₂×#123	C₂²	1	1	yes	characteristic
38	C₂×#123	C₂²	1	1	yes	characteristic
39	C₂×#123	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×#121	C₂²	1	1	yes	characteristic
42	C₂×#121	C₂²	1	1	yes	characteristic
43	C₂×#120	C₂²	1	1	yes	characteristic
44	C₂×#120	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
46	C₂×#117	C₂²	1	1	yes	characteristic
47	C₂×#117	C₂²	1	1	yes	characteristic
48	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
49	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
50	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
51	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
52	#401	C₂²	1	1	yes	characteristic, complemented
53	#400	C₂²	1	1	yes	characteristic, complemented
54	#400	C₂²	1	1	yes	characteristic, complemented
55	#400	C₂²	1	1	yes	characteristic, complemented
56	#400	C₂²	1	1	yes	characteristic, complemented
57	#400	C₂²	1	1	yes	characteristic, complemented
58	#398	C₂²	1	1	yes	characteristic, complemented
59	#398	C₂²	1	1	yes	characteristic, complemented
60	#398	C₂²	1	1	yes	characteristic, complemented
61	#397	C₂²	1	1	yes	characteristic, complemented
62	#397	C₂²	1	1	yes	characteristic, complemented
63	#397	C₂²	1	1	yes	characteristic, complemented
64	#397	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	#397	C₂²	1	1	yes	characteristic, complemented
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	#395	C₂²	1	1	yes	characteristic, complemented
75	#394	C₂²	1	1	yes	characteristic
76	#394	C₂²	1	1	yes	characteristic
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, complemented
82	#394	C₂²	1	1	yes	characteristic, complemented
83	#394	C₂²	1	1	yes	characteristic, complemented
84	#394	C₂²	1	1	yes	characteristic, complemented
85	#394	C₂²	1	1	yes	characteristic, complemented
86	#394	C₂²	1	1	yes	characteristic, complemented
87	#393	C₂²	1	1	yes	characteristic, complemented
88	#393	C₂²	1	1	yes	characteristic, complemented
89	#393	C₂²	1	1	yes	characteristic, complemented
90	#392	C₂²	1	1	yes	characteristic
91	#392	C₂²	1	1	yes	characteristic
92	#391	C₂²	1	1	yes	characteristic, complemented
93	#390	C₂²	1	1	yes	characteristic
94	#390	C₂²	1	1	yes	characteristic
95	#390	C₂²	1	1	yes	characteristic, complemented
96	#390	C₂²	1	1	yes	characteristic, complemented
97	#390	C₂²	1	1	yes	characteristic, complemented
98	#389	C₂²	1	1	yes	characteristic, complemented
99	#389	C₂²	1	1	yes	characteristic, complemented
100	#388	C₂²	1	1	yes	characteristic, complemented
101	#388	C₂²	1	1	yes	characteristic, complemented
102	#388	C₂²	1	1	yes	characteristic, complemented
103	#388	C₂²	1	1	yes	characteristic, complemented
104	#388	C₂²	1	1	yes	characteristic, complemented
105	#388	C₂²	1	1	yes	characteristic, complemented
106	#388	C₂²	1	1	yes	characteristic, complemented
107	#388	C₂²	1	1	yes	characteristic, complemented
108	#388	C₂²	1	1	yes	characteristic, complemented
109	#388	C₂²	1	1	yes	characteristic, complemented
110	#388	C₂²	1	1	yes	characteristic, complemented
111	#388	C₂²	1	1	yes	characteristic, complemented
112	#388	C₂²	1	1	yes	characteristic, complemented
113	#388	C₂²	1	1	yes	characteristic, complemented
114	#388	C₂²	1	1	yes	characteristic, complemented
115	#388	C₂²	1	1	yes	characteristic, complemented
116	#388	C₂²	1	1	yes	characteristic, complemented
117	#387	C₂²	1	1	yes	characteristic, complemented
118	#387	C₂²	1	1	yes	characteristic, complemented
119	#387	C₂²	1	1	yes	characteristic, complemented
120	#387	C₂²	1	1	yes	characteristic, complemented
121	#387	C₂²	1	1	yes	characteristic, complemented
122	#387	C₂²	1	1	yes	characteristic, complemented
123	#387	C₂²	1	1	yes	characteristic, complemented
124	#387	C₂²	1	1	yes	characteristic, complemented
125	#387	C₂²	1	1	yes	characteristic, complemented
126	#386	C₂²	1	1	yes	characteristic
127	#386	C₂²	1	1	yes	characteristic
128	#386	C₂²	1	1	yes	characteristic
129	#386	C₂²	1	1	yes	characteristic
130	#386	C₂²	1	1	yes	characteristic
131	#386	C₂²	1	1	yes	characteristic
132	#386	C₂²	1	1	yes	characteristic
133	#386	C₂²	1	1	yes	characteristic
134	#386	C₂²	1	1	yes	characteristic
135	#386	C₂²	1	1	yes	characteristic
136	#386	C₂²	1	1	yes	characteristic
137	#386	C₂²	1	1	yes	characteristic
138	#386	C₂²	1	1	yes	characteristic, complemented
139	#386	C₂²	1	1	yes	characteristic, complemented
140	#386	C₂²	1	1	yes	characteristic, complemented
141	#386	C₂²	1	1	yes	characteristic, complemented
142	#386	C₂²	1	1	yes	characteristic, complemented
143	#386	C₂²	1	1	yes	characteristic, complemented
144	#385	C₂²	1	1	yes	characteristic
145	#385	C₂²	1	1	yes	characteristic
146	#385	C₂²	1	1	yes	characteristic
147	#385	C₂²	1	1	yes	characteristic
148	#385	C₂²	1	1	yes	characteristic, complemented
149	#385	C₂²	1	1	yes	characteristic, complemented
150	#385	C₂²	1	1	yes	characteristic, complemented
151	#385	C₂²	1	1	yes	characteristic, complemented
152	#385	C₂²	1	1	yes	characteristic, complemented
153	#385	C₂²	1	1	yes	characteristic, complemented
154	#385	C₂²	1	1	yes	characteristic, complemented
155	#385	C₂²	1	1	yes	characteristic, complemented
156	#383	C₂²	1	1	yes	characteristic, complemented
157	#381	C₂²	1	1	yes	characteristic
158	#381	C₂²	1	1	yes	characteristic
159	#381	C₂²	1	1	yes	characteristic
160	#381	C₂²	1	1	yes	characteristic
161	#381	C₂²	1	1	yes	characteristic, complemented
162	#380	C₂²	1	1	yes	characteristic
163	#380	C₂²	1	1	yes	characteristic
164	#380	C₂²	1	1	yes	characteristic, complemented
165	#380	C₂²	1	1	yes	characteristic, complemented
166	#380	C₂²	1	1	yes	characteristic, complemented
167	#380	C₂²	1	1	yes	characteristic, complemented
168	#380	C₂²	1	1	yes	characteristic, complemented
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×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
178	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
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	C₂×#95	C₂²	1	1	yes	characteristic
186	C₂×#95	C₂²	1	1	yes	characteristic
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	C₂³×C₄	—	2	4	no	—
203	C₂³×C₄	—	4	2	no	—
204	C₂³×C₄	—	4	2	no	—
205	C₂³×C₄	C₂³	1	1	yes	characteristic
206	C₂³×C₄	C₂³	1	1	yes	characteristic
207	C₂³×C₄	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	#126	—	4	2	no	—
218	#124	—	4	2	no	—
219	#123	—	2	4	no	—
220	#123	—	2	4	no	—
221	#123	—	4	2	no	—
222	#123	—	4	2	no	—
223	C₂²⋊Q₈	—	4	2	no	—
224	#121	—	2	4	no	—
225	#121	—	4	2	no	—
226	#120	—	4	2	no	—
227	#120	—	4	2	no	—
228	C₄×D₄	—	4	2	no	—
229	#117	—	4	2	no	—
230	#117	—	4	2	no	—
231	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
256	C₂×C₂²⋊C₄	—	4	2	no	—
257	C₂×C₂²⋊C₄	—	4	2	no	—
258	C₂×C₂²⋊C₄	—	4	2	no	—
259	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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×C₄²	C₂³	1	1	yes	characteristic
314	C₂×C₄²	C₂³	1	1	yes	characteristic
315	C₂×C₄²	C₂³	1	1	yes	characteristic
316	C₂×C₄²	C₂³	1	1	yes	characteristic
317	C₂×C₄²	C₂³	1	1	yes	characteristic
318	C₂×C₄²	C₂³	1	1	yes	characteristic
319	C₂×C₄²	C₂³	1	1	yes	characteristic
320	C₂×C₄²	C₂³	1	1	yes	characteristic
321	C₂×C₄²	C₂³	1	1	yes	characteristic
322	#95	C₂³	1	1	yes	characteristic
323	#95	C₂³	1	1	yes	characteristic
324	#95	C₂³	1	1	yes	characteristic
325	#95	C₂³	1	1	yes	characteristic
326	#95	C₂³	1	1	yes	characteristic
327	#95	C₂³	1	1	yes	characteristic
328	#95	C₂³	1	1	yes	characteristic
329	#95	C₂³	1	1	yes	characteristic
330	#95	C₂³	1	1	yes	characteristic
331	#95	C₂³	1	1	yes	characteristic
332	#95	C₂³	1	1	yes	characteristic
333	#95	C₂³	1	1	yes	characteristic
334	#95	C₂³	1	1	yes	characteristic
335	#95	C₂³	1	1	yes	characteristic
336	#95	C₂³	1	1	yes	characteristic
337	#95	C₂³	1	1	yes	characteristic
338	#95	C₂³	1	1	yes	characteristic
339	#95	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	C₂⁴	—	2	2	no	—
367	C₂⁴	—	2	2	no	—
368	C₂⁴	—	2	2	no	—
369	C₂⁴	—	2	2	no	—
370	C₂⁴	—	2	2	no	—
371	C₂⁴	—	2	2	no	—
372	C₂⁴	—	2	2	no	—
373	C₂⁴	—	2	2	no	—
374	C₂⁴	—	2	2	no	—
375	C₂⁴	—	4	1	no	—
376	C₂⁴	—	4	1	no	—
377	C₂⁴	—	4	1	no	—
378	C₂⁴	—	4	1	no	—
379	C₂⁴	—	4	1	no	—
380	C₂⁴	C₂⁴	1	1	yes	characteristic
381	C₂⁴	C₂⁴	1	1	yes	characteristic
382	C₂⁴	C₂⁴	1	1	yes	characteristic
383	C₂⁴	C₂⁴	1	1	yes	characteristic
384	C₂⁴	C₂⁴	1	1	yes	characteristic
385	C₂⁴	C₂⁴	1	1	yes	characteristic
386	C₂×Q₈	—	4	1	no	—
387	C₂×Q₈	—	4	1	no	—
388	C₂×Q₈	—	4	1	no	—
389	C₂×D₄	—	2	2	no	—
390	C₂×D₄	—	2	2	no	—
391	C₂×D₄	—	2	2	no	—
392	C₂×D₄	—	2	2	no	—
393	C₂×D₄	—	2	2	no	—
394	C₂×D₄	—	2	2	no	—
395	C₂×D₄	—	2	2	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	—	4	1	no	—
401	C₂×D₄	—	4	1	no	—
402	C₂×D₄	—	4	1	no	—
403	C₂×D₄	—	4	1	no	—
404	C₂×D₄	—	4	1	no	—
405	C₂×D₄	—	4	1	no	—
406	C₂×D₄	—	4	1	no	—
407	C₂×D₄	—	4	1	no	—
408	C₂×D₄	—	4	1	no	—
409	C₂×D₄	—	4	1	no	—
410	C₂×D₄	—	4	1	no	—
411	C₂×D₄	—	4	1	no	—
412	C₂×D₄	—	4	1	no	—
413	C₂×D₄	—	4	1	no	—
414	C₂×D₄	—	4	1	no	—
415	C₂×D₄	—	4	16	no	—
416	C₂×D₄	#41	1	4	yes	—
417	C₂²×C₄	—	2	2	no	—
418	C₂²×C₄	—	2	2	no	—
419	C₂²×C₄	—	2	2	no	—
420	C₂²×C₄	—	2	2	no	—
421	C₂²×C₄	—	2	2	no	—
422	C₂²×C₄	—	2	2	no	—
423	C₂²×C₄	—	2	2	no	—
424	C₂²×C₄	—	2	2	no	—
425	C₂²×C₄	—	2	2	no	—
426	C₂²×C₄	—	2	2	no	—
427	C₂²×C₄	—	2	2	no	—
428	C₂²×C₄	—	2	2	no	—
429	C₂²×C₄	—	2	2	no	—
430	C₂²×C₄	—	2	2	no	—
431	C₂²×C₄	—	2	2	no	—
432	C₂²×C₄	—	4	1	no	—
433	C₂²×C₄	—	4	1	no	—
434	C₂²×C₄	—	4	1	no	—
435	C₂²×C₄	—	4	1	no	—
436	C₂²×C₄	—	4	1	no	—
437	C₂²×C₄	—	4	1	no	—
438	C₂²×C₄	—	4	1	no	—
439	C₂²×C₄	—	4	1	no	—
440	C₂²×C₄	—	4	1	no	—
441	C₂²×C₄	—	4	1	no	—
442	C₂²×C₄	—	4	1	no	—
443	C₂²×C₄	—	4	1	no	—
444	C₂²×C₄	—	4	1	no	—
445	C₂²×C₄	—	4	1	no	—
446	C₂²×C₄	—	4	1	no	—
447	C₂²×C₄	—	4	1	no	—
448	C₂²×C₄	—	4	1	no	—
449	C₂²×C₄	—	4	1	no	—
450	C₂²×C₄	—	4	1	no	—
451	C₂²×C₄	—	4	1	no	—
452	C₂²×C₄	—	4	16	no	—
453	C₂²×C₄	#41	1	4	yes	—
454	C₂²×C₄	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄	C₂⁴	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
480	C₄⋊C₄	—	2	2	no	—
481	C₄⋊C₄	—	2	2	no	—
482	C₄⋊C₄	—	2	2	no	—
483	C₄⋊C₄	—	2	2	no	—
484	C₄⋊C₄	—	4	1	no	—
485	C₄⋊C₄	—	4	1	no	—
486	C₄⋊C₄	—	4	1	no	—
487	C₄⋊C₄	—	4	1	no	—
488	C₄⋊C₄	—	4	1	no	—
489	C₄⋊C₄	—	4	1	no	—
490	C₄⋊C₄	—	4	1	no	—
491	C₄⋊C₄	—	4	1	no	—
492	C₄⋊C₄	—	4	1	no	—
493	C₄⋊C₄	—	4	1	no	—
494	C₄⋊C₄	—	4	1	no	—
495	C₄⋊C₄	—	4	1	no	—
496	C₄⋊C₄	—	4	1	no	—
497	C₄⋊C₄	—	4	1	no	—
498	C₄⋊C₄	—	4	1	no	—
499	C₄⋊C₄	—	4	1	no	—
500	C₄⋊C₄	—	4	1	no	—
501	C₄⋊C₄	—	4	1	no	—
502	C₄⋊C₄	—	4	1	no	—
503	C₂²⋊C₄	—	2	2	no	—
504	C₂²⋊C₄	—	2	2	no	—
505	C₂²⋊C₄	—	2	2	no	—
506	C₂²⋊C₄	—	2	2	no	—
507	C₂²⋊C₄	—	2	2	no	—
508	C₂²⋊C₄	—	2	2	no	—
509	C₂²⋊C₄	—	2	2	no	—
510	C₂²⋊C₄	—	2	2	no	—
511	C₂²⋊C₄	—	2	2	no	—
512	C₂²⋊C₄	—	2	2	no	—
513	C₂²⋊C₄	—	2	2	no	—
514	C₂²⋊C₄	—	2	2	no	—
515	C₂²⋊C₄	—	2	2	no	—
516	C₂²⋊C₄	—	2	2	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	—	4	1	no	—
527	C₂²⋊C₄	—	4	1	no	—
528	C₂²⋊C₄	—	4	1	no	—
529	C₂²⋊C₄	—	4	1	no	—
530	C₂²⋊C₄	—	4	1	no	—
531	C₂²⋊C₄	—	4	1	no	—
532	C₂²⋊C₄	—	4	1	no	—
533	C₂²⋊C₄	—	4	1	no	—
534	C₂²⋊C₄	—	4	1	no	—
535	C₂²⋊C₄	—	4	1	no	—
536	C₂²⋊C₄	—	4	1	no	—
537	C₂²⋊C₄	—	4	1	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	C₄²	—	4	1	no	—
558	C₄²	—	4	1	no	—
559	C₄²	—	4	1	no	—
560	C₄²	—	4	1	no	—
561	C₄²	—	4	1	no	—
562	C₄²	—	4	1	no	—
563	C₄²	—	4	1	no	—
564	C₄²	—	4	1	no	—
565	C₄²	—	4	1	no	—
566	C₂³	—	2	1	no	—
567	C₂³	—	2	1	no	—
568	C₂³	—	2	1	no	—
569	C₂³	—	2	1	no	—
570	C₂³	—	2	8	no	—
571	C₂³	—	2	1	no	—
572	C₂³	—	2	1	no	—
573	C₂³	—	2	1	no	—
574	C₂³	—	2	1	no	—
575	C₂³	—	2	1	no	—
576	C₂³	—	2	1	no	—
577	C₂³	—	2	1	no	—
578	C₂³	—	2	1	no	—
579	C₂³	—	2	1	no	—
580	C₂³	—	2	1	no	—
581	C₂³	—	2	1	no	—
582	C₂³	—	2	1	no	—
583	C₂³	—	2	1	no	—
584	C₂³	—	2	1	no	—
585	C₂³	—	2	1	no	—
586	C₂³	—	2	1	no	—
587	C₂³	—	2	1	no	—
588	C₂³	—	2	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	—	4	4	no	—
604	C₂³	—	4	4	no	—
605	C₂³	—	4	4	no	—
606	C₂³	—	4	4	no	—
607	C₂³	—	4	4	no	—
608	C₂³	—	4	4	no	—
609	C₂³	—	4	4	no	—
610	C₂³	—	4	4	no	—
611	C₂³	—	4	4	no	—
612	C₂³	—	4	4	no	—
613	C₂³	—	8	2	no	—
614	C₂³	—	8	2	no	—
615	C₂³	—	8	2	no	—
616	C₂³	C₂×#41	1	2	yes	—
617	C₂³	C₂×#41	1	2	yes	—
618	C₂³	C₂×#41	1	2	yes	—
619	C₂³	H(5,𝔽₂)	1	2	yes	—
620	C₂³	H(5,𝔽₂)	1	2	yes	—
621	C₂³	H(5,𝔽₂)	1	2	yes	—
622	C₂³	C₂⁵	1	1	yes	characteristic
623	Q₈	—	8	2	no	—
624	D₄	—	4	4	no	—
625	D₄	—	4	4	no	—
626	D₄	—	4	4	no	—
627	D₄	—	4	4	no	—
628	D₄	—	4	4	no	—
629	D₄	—	8	2	no	—
630	D₄	—	8	2	no	—
631	D₄	—	8	2	no	—
632	D₄	—	8	2	no	—
633	C₂×C₄	—	2	8	no	—
634	C₂×C₄	—	2	1	no	—
635	C₂×C₄	—	2	1	no	—
636	C₂×C₄	—	2	1	no	—
637	C₂×C₄	—	2	1	no	—
638	C₂×C₄	—	2	1	no	—
639	C₂×C₄	—	2	1	no	—
640	C₂×C₄	—	2	1	no	—
641	C₂×C₄	—	2	1	no	—
642	C₂×C₄	—	2	1	no	—
643	C₂×C₄	—	2	1	no	—
644	C₂×C₄	—	2	1	no	—
645	C₂×C₄	—	2	1	no	—
646	C₂×C₄	—	2	1	no	—
647	C₂×C₄	—	2	1	no	—
648	C₂×C₄	—	2	1	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	1	no	—
652	C₂×C₄	—	2	1	no	—
653	C₂×C₄	—	2	1	no	—
654	C₂×C₄	—	2	1	no	—
655	C₂×C₄	—	2	1	no	—
656	C₂×C₄	—	2	1	no	—
657	C₂×C₄	—	2	1	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	2	1	no	—
660	C₂×C₄	—	2	1	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	1	no	—
663	C₂×C₄	—	2	1	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	1	no	—
666	C₂×C₄	—	2	1	no	—
667	C₂×C₄	—	2	1	no	—
668	C₂×C₄	—	2	1	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	—	4	4	no	—
707	C₂×C₄	—	4	4	no	—
708	C₂×C₄	—	4	4	no	—
709	C₂×C₄	—	4	4	no	—
710	C₂×C₄	—	4	4	no	—
711	C₂×C₄	—	4	4	no	—
712	C₂×C₄	—	8	2	no	—
713	C₂×C₄	—	8	2	no	—
714	C₂×C₄	—	8	2	no	—
715	C₂×C₄	—	8	2	no	—
716	C₂×C₄	—	8	2	no	—
717	C₂×C₄	C₂×#41	1	2	yes	—
718	C₂×C₄	C₂×#41	1	2	yes	—
719	C₂×C₄	C₂×#41	1	2	yes	—
720	C₂²	—	2	2	no	—
721	C₂²	—	2	2	no	—
722	C₂²	—	2	2	no	—
723	C₂²	—	2	2	no	—
724	C₂²	—	2	2	no	—
725	C₂²	—	2	2	no	—
726	C₂²	—	2	2	no	—
727	C₂²	—	2	2	no	—
728	C₂²	—	2	2	no	—
729	C₂²	—	2	2	no	—
730	C₂²	—	2	2	no	—
731	C₂²	—	2	2	no	—
732	C₂²	—	2	2	no	—
733	C₂²	—	2	2	no	—
734	C₂²	—	2	2	no	—
735	C₂²	—	4	16	no	—
736	C₂²	—	4	1	no	—
737	C₂²	—	4	1	no	—
738	C₂²	—	4	1	no	—
739	C₂²	—	4	1	no	—
740	C₂²	—	4	1	no	—
741	C₂²	—	4	1	no	—
742	C₂²	—	4	1	no	—
743	C₂²	—	4	1	no	—
744	C₂²	—	4	1	no	—
745	C₂²	—	4	1	no	—
746	C₂²	—	4	1	no	—
747	C₂²	—	4	1	no	—
748	C₂²	—	4	1	no	—
749	C₂²	—	4	1	no	—
750	C₂²	—	4	1	no	—
751	C₂²	—	4	1	no	—
752	C₂²	—	4	1	no	—
753	C₂²	—	4	1	no	—
754	C₂²	—	4	1	no	—
755	C₂²	—	4	1	no	—
756	C₂²	—	4	1	no	—
757	C₂²	—	4	1	no	—
758	C₂²	—	4	1	no	—
759	C₂²	—	4	1	no	—
760	C₂²	—	4	1	no	—
761	C₂²	—	4	1	no	—
762	C₂²	—	8	8	no	—
763	C₂²	#538	1	4	yes	—
764	C₂²	C₂²×#41	1	1	yes	characteristic
765	C₂²	C₂²×#41	1	1	yes	characteristic
766	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
767	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
768	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
769	C₂²	#585	1	1	yes	characteristic
770	C₂²	#585	1	1	yes	characteristic
771	C₄	—	2	2	no	—
772	C₄	—	2	2	no	—
773	C₄	—	2	2	no	—
774	C₄	—	4	1	no	—
775	C₄	—	4	1	no	—
776	C₄	—	4	1	no	—
777	C₄	—	4	1	no	—
778	C₄	—	4	1	no	—
779	C₄	—	4	1	no	—
780	C₄	—	4	1	no	—
781	C₄	—	4	1	no	—
782	C₄	—	4	1	no	—
783	C₄	—	4	1	no	—
784	C₄	—	4	1	no	—
785	C₄	—	4	1	no	—
786	C₄	—	4	1	no	—
787	C₄	—	4	1	no	—
788	C₄	—	4	1	no	—
789	C₄	—	4	1	no	—
790	C₄	—	4	1	no	—
791	C₄	—	4	1	no	—
792	C₄	—	4	1	no	—
793	C₄	—	4	1	no	—
794	C₄	—	4	1	no	—
795	C₄	—	4	1	no	—
796	C₂	—	2	4	no	—
797	C₂	—	4	2	no	—
798	C₂	—	4	2	no	—
799	C₂	—	4	2	no	—
800	C₂	—	8	1	no	—
801	C₂	—	8	1	no	—
802	C₂	C₂×#538	1	1	yes	characteristic
803	C₂	#3475	1	1	yes	characteristic
804	C₂	#3490	1	1	yes	characteristic
805	C₂	#3494	1	1	yes	characteristic
806	C₂	#3513	1	1	yes	characteristic
807	C₂	#3533	1	1	yes	characteristic
808	C₂	#3534	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁵
prime radical	#2408	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. #2849	C₂	semidirect
2. #2786	C₂	semidirect
3. #2784	C₂	semidirect
4. #2779	C₂	semidirect
5. #2778	C₂	semidirect
6. #2756	C₂	semidirect
7. #2708	C₂	semidirect
8. #2695	C₂	semidirect
9. #2686	C₂	semidirect
10. #2653	C₂	semidirect
11. #2648	C₂	semidirect
12. #2595	C₂	semidirect
13. #2578	C₂	semidirect
14. #2561	C₂	semidirect
15. #2559	C₂	semidirect
16. #2557	C₂	semidirect
17. #2493	C₂	semidirect
18. #2480	C₂	semidirect
19. #2472	C₂	semidirect
20. #2438	C₂	semidirect
21. #2419	C₂	semidirect
22. #2412	C₂	semidirect
23. #2411	C₂	semidirect
25. #2405	C₂	semidirect
26. #2359	C₂	semidirect
27. #2342	C₂	semidirect
28. #2335	C₂	semidirect
29. #2333	C₂	semidirect
30. C₂×#386	C₂	semidirect
31. #2280	C₂	semidirect
34. C₂×#126	C₂²	semidirect
35. C₂×#124	C₂²	semidirect
52. #401	C₂²	semidirect
53. #400	C₂²	semidirect
54. #400	C₂²	semidirect
55. #400	C₂²	semidirect
56. #400	C₂²	semidirect
57. #400	C₂²	semidirect
58. #398	C₂²	semidirect
59. #398	C₂²	semidirect
60. #398	C₂²	semidirect
61. #397	C₂²	semidirect
62. #397	C₂²	semidirect
63. #397	C₂²	semidirect
64. #397	C₂²	semidirect
65. #397	C₂²	semidirect
66. #397	C₂²	semidirect
67. #397	C₂²	semidirect
68. #397	C₂²	semidirect
69. #397	C₂²	semidirect
70. #397	C₂²	semidirect
71. #396	C₂²	semidirect
72. #396	C₂²	semidirect
73. #396	C₂²	semidirect
74. #395	C₂²	semidirect
81. #394	C₂²	semidirect
82. #394	C₂²	semidirect
83. #394	C₂²	semidirect
84. #394	C₂²	semidirect
85. #394	C₂²	semidirect
86. #394	C₂²	semidirect
87. #393	C₂²	semidirect
88. #393	C₂²	semidirect
89. #393	C₂²	semidirect
92. #391	C₂²	semidirect
95. #390	C₂²	semidirect
96. #390	C₂²	semidirect
97. #390	C₂²	semidirect
98. #389	C₂²	semidirect
99. #389	C₂²	semidirect
100. #388	C₂²	semidirect
101. #388	C₂²	semidirect
102. #388	C₂²	semidirect
103. #388	C₂²	semidirect
104. #388	C₂²	semidirect
105. #388	C₂²	semidirect
106. #388	C₂²	semidirect
107. #388	C₂²	semidirect
108. #388	C₂²	semidirect
109. #388	C₂²	semidirect
110. #388	C₂²	semidirect
111. #388	C₂²	semidirect
112. #388	C₂²	semidirect
113. #388	C₂²	semidirect
114. #388	C₂²	semidirect
115. #388	C₂²	semidirect
116. #388	C₂²	semidirect
117. #387	C₂²	semidirect
118. #387	C₂²	semidirect
119. #387	C₂²	semidirect
120. #387	C₂²	semidirect
121. #387	C₂²	semidirect
122. #387	C₂²	semidirect
123. #387	C₂²	semidirect
124. #387	C₂²	semidirect
125. #387	C₂²	semidirect
138. #386	C₂²	semidirect
139. #386	C₂²	semidirect
140. #386	C₂²	semidirect
141. #386	C₂²	semidirect
142. #386	C₂²	semidirect
143. #386	C₂²	semidirect
148. #385	C₂²	semidirect
149. #385	C₂²	semidirect
150. #385	C₂²	semidirect
151. #385	C₂²	semidirect
152. #385	C₂²	semidirect
153. #385	C₂²	semidirect
154. #385	C₂²	semidirect
155. #385	C₂²	semidirect
156. #383	C₂²	semidirect
161. #381	C₂²	semidirect
164. #380	C₂²	semidirect
165. #380	C₂²	semidirect
166. #380	C₂²	semidirect
167. #380	C₂²	semidirect
168. #380	C₂²	semidirect
169. #380	C₂²	semidirect
175. C₄×C₄⋊C₄	C₂²	semidirect
178. C₄×C₂²⋊C₄	C₂²	semidirect
179. C₄×C₂²⋊C₄	C₂²	semidirect
180. C₄×C₂²⋊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

Maximal subgroups

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

subgroup	index
#2849	2
#2786	2
#2784	2
#2779	2
#2778	2
#2756	2
#2708	2
#2695	2
#2686	2
#2653	2
#2648	2
#2595	2
#2578	2
#2561	2
#2559	2
#2557	2
#2493	2
#2480	2
#2472	2
#2438	2
#2419	2
#2412	2
#2411	2
#2408	2
#2405	2
#2359	2
#2342	2
#2335	2
#2333	2
C₂×#386	2
#2280	2