Subgroups — #46382

Order 256.

1152 conjugacy classes of subgroups.

The subgroup lattice has 857 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#539	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#538	C₂	1	1	yes	maximal, characteristic, complemented
3	#2813	C₂	1	1	yes	maximal, characteristic, complemented
4	#2730	C₂	1	1	yes	maximal, characteristic, complemented
5	#2730	C₂	1	1	yes	maximal, characteristic, complemented
6	#2727	C₂	1	1	yes	maximal, characteristic, complemented
7	#2725	C₂	1	1	yes	maximal, characteristic, complemented
8	#2714	C₂	1	1	yes	maximal, characteristic, complemented
9	#2711	C₂	1	1	yes	maximal, characteristic, complemented
10	#2707	C₂	1	1	yes	maximal, characteristic, complemented
11	#2685	C₂	1	1	yes	maximal, characteristic, complemented
12	#2682	C₂	1	1	yes	maximal, characteristic, complemented
13	#2678	C₂	1	1	yes	maximal, characteristic, complemented
14	#2678	C₂	1	1	yes	maximal, characteristic, complemented
15	#2669	C₂	1	1	yes	maximal, characteristic, complemented
16	#2558	C₂	1	1	yes	maximal, characteristic, complemented
17	#2534	C₂	1	1	yes	maximal, characteristic, complemented
18	#2481	C₂	1	1	yes	maximal, characteristic, complemented
19	#2467	C₂	1	1	yes	maximal, characteristic, complemented
20	#2466	C₂	1	1	yes	maximal, characteristic, complemented
21	#2464	C₂	1	1	yes	maximal, characteristic, complemented
22	#2457	C₂	1	1	yes	maximal, characteristic, complemented
23	#2455	C₂	1	1	yes	maximal, characteristic, complemented
24	#2445	C₂	1	1	yes	maximal, characteristic, complemented
25	#2428	C₂	1	1	yes	maximal, characteristic, complemented
26	#2426	C₂	1	1	yes	maximal, characteristic, complemented
27	#2426	C₂	1	1	yes	maximal, characteristic, complemented
28	#2416	C₂	1	1	yes	maximal, characteristic, complemented
29	#2414	C₂	1	1	yes	maximal, characteristic, complemented
30	#2411	C₂	1	1	yes	maximal, characteristic, complemented
31	#2323	C₂	1	1	yes	maximal, characteristic, complemented
32	#539	—	2	8	no	—
33	#538	—	2	8	no	—
34	C₂×#127	C₂²	1	1	yes	characteristic
35	C₂×#126	C₂²	1	1	yes	characteristic
36	C₂×#126	C₂²	1	1	yes	characteristic
37	C₂×#126	C₂²	1	1	yes	characteristic
38	C₂×#126	C₂²	1	1	yes	characteristic, complemented
39	C₂×#125	C₂²	1	1	yes	characteristic, complemented
40	C₂×#125	C₂²	1	1	yes	characteristic, complemented
41	C₂×#124	C₂²	1	1	yes	characteristic
42	C₂×#124	C₂²	1	1	yes	characteristic
43	C₂×#123	C₂²	1	1	yes	characteristic
44	C₂×#123	C₂²	1	1	yes	characteristic
45	C₂×#123	C₂²	1	1	yes	characteristic
46	C₂×#123	C₂²	1	1	yes	characteristic
47	C₂×#123	C₂²	1	1	yes	characteristic
48	C₂×#123	C₂²	1	1	yes	characteristic
49	C₂×#123	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
51	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₂×#121	C₂²	1	1	yes	characteristic
54	C₂×#121	C₂²	1	1	yes	characteristic
55	C₂×#121	C₂²	1	1	yes	characteristic
56	C₂×#121	C₂²	1	1	yes	characteristic
57	C₂×#121	C₂²	1	1	yes	characteristic
58	C₂×#121	C₂²	1	1	yes	characteristic
59	C₂×#121	C₂²	1	1	yes	characteristic
60	C₂×#121	C₂²	1	1	yes	characteristic, complemented
61	C₂×#121	C₂²	1	1	yes	characteristic, complemented
62	C₂×#120	C₂²	1	1	yes	characteristic
63	C₂×#120	C₂²	1	1	yes	characteristic
64	C₂×#120	C₂²	1	1	yes	characteristic
65	C₂×#120	C₂²	1	1	yes	characteristic
66	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
67	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
68	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
69	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
70	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
71	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
72	C₂×#117	C₂²	1	1	yes	characteristic
73	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
74	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
75	#400	C₂²	1	1	yes	characteristic, complemented
76	#400	C₂²	1	1	yes	characteristic, complemented
77	#399	C₂²	1	1	yes	characteristic
78	#399	C₂²	1	1	yes	characteristic, complemented
79	#399	C₂²	1	1	yes	characteristic, complemented
80	#398	C₂²	1	1	yes	characteristic, complemented
81	#397	C₂²	1	1	yes	characteristic
82	#397	C₂²	1	1	yes	characteristic
83	#397	C₂²	1	1	yes	characteristic, complemented
84	#396	C₂²	1	1	yes	characteristic
85	#396	C₂²	1	1	yes	characteristic
86	#396	C₂²	1	1	yes	characteristic
87	#396	C₂²	1	1	yes	characteristic
88	#396	C₂²	1	1	yes	characteristic
89	#396	C₂²	1	1	yes	characteristic
90	#396	C₂²	1	1	yes	characteristic
91	#396	C₂²	1	1	yes	characteristic, complemented
92	#396	C₂²	1	1	yes	characteristic, complemented
93	#396	C₂²	1	1	yes	characteristic, complemented
94	#396	C₂²	1	1	yes	characteristic, complemented
95	#394	C₂²	1	1	yes	characteristic
96	#394	C₂²	1	1	yes	characteristic
97	#394	C₂²	1	1	yes	characteristic
98	#394	C₂²	1	1	yes	characteristic
99	#394	C₂²	1	1	yes	characteristic
100	#394	C₂²	1	1	yes	characteristic
101	#394	C₂²	1	1	yes	characteristic
102	#394	C₂²	1	1	yes	characteristic
103	#394	C₂²	1	1	yes	characteristic
104	#394	C₂²	1	1	yes	characteristic
105	#394	C₂²	1	1	yes	characteristic
106	#394	C₂²	1	1	yes	characteristic
107	#394	C₂²	1	1	yes	characteristic
108	#394	C₂²	1	1	yes	characteristic
109	#394	C₂²	1	1	yes	characteristic, complemented
110	#394	C₂²	1	1	yes	characteristic, complemented
111	#394	C₂²	1	1	yes	characteristic, complemented
112	#394	C₂²	1	1	yes	characteristic, complemented
113	#394	C₂²	1	1	yes	characteristic, complemented
114	#392	C₂²	1	1	yes	characteristic
115	#392	C₂²	1	1	yes	characteristic
116	#392	C₂²	1	1	yes	characteristic
117	#392	C₂²	1	1	yes	characteristic
118	#392	C₂²	1	1	yes	characteristic
119	#392	C₂²	1	1	yes	characteristic
120	#392	C₂²	1	1	yes	characteristic
121	#392	C₂²	1	1	yes	characteristic
122	#392	C₂²	1	1	yes	characteristic, complemented
123	#391	C₂²	1	1	yes	characteristic, complemented
124	#390	C₂²	1	1	yes	characteristic
125	#390	C₂²	1	1	yes	characteristic
126	#390	C₂²	1	1	yes	characteristic
127	#390	C₂²	1	1	yes	characteristic
128	#390	C₂²	1	1	yes	characteristic
129	#390	C₂²	1	1	yes	characteristic
130	#390	C₂²	1	1	yes	characteristic
131	#390	C₂²	1	1	yes	characteristic
132	#390	C₂²	1	1	yes	characteristic, complemented
133	#390	C₂²	1	1	yes	characteristic, complemented
134	#390	C₂²	1	1	yes	characteristic, complemented
135	#390	C₂²	1	1	yes	characteristic, complemented
136	#389	C₂²	1	1	yes	characteristic, complemented
137	#389	C₂²	1	1	yes	characteristic, complemented
138	#389	C₂²	1	1	yes	characteristic, complemented
139	#389	C₂²	1	1	yes	characteristic, complemented
140	#389	C₂²	1	1	yes	characteristic, complemented
141	#389	C₂²	1	1	yes	characteristic, complemented
142	#389	C₂²	1	1	yes	characteristic, complemented
143	#389	C₂²	1	1	yes	characteristic, complemented
144	#388	C₂²	1	1	yes	characteristic
145	#388	C₂²	1	1	yes	characteristic
146	#388	C₂²	1	1	yes	characteristic
147	#388	C₂²	1	1	yes	characteristic
148	#388	C₂²	1	1	yes	characteristic
149	#388	C₂²	1	1	yes	characteristic
150	#388	C₂²	1	1	yes	characteristic
151	#388	C₂²	1	1	yes	characteristic
152	#388	C₂²	1	1	yes	characteristic
153	#388	C₂²	1	1	yes	characteristic
154	#388	C₂²	1	1	yes	characteristic
155	#388	C₂²	1	1	yes	characteristic, complemented
156	#388	C₂²	1	1	yes	characteristic, complemented
157	#388	C₂²	1	1	yes	characteristic, complemented
158	#388	C₂²	1	1	yes	characteristic, complemented
159	#388	C₂²	1	1	yes	characteristic, complemented
160	#387	C₂²	1	1	yes	characteristic, complemented
161	#387	C₂²	1	1	yes	characteristic, complemented
162	#387	C₂²	1	1	yes	characteristic, complemented
163	#387	C₂²	1	1	yes	characteristic, complemented
164	#387	C₂²	1	1	yes	characteristic, complemented
165	#386	C₂²	1	1	yes	characteristic
166	#386	C₂²	1	1	yes	characteristic
167	#386	C₂²	1	1	yes	characteristic
168	#386	C₂²	1	1	yes	characteristic
169	#386	C₂²	1	1	yes	characteristic
170	#386	C₂²	1	1	yes	characteristic
171	#386	C₂²	1	1	yes	characteristic, complemented
172	#386	C₂²	1	1	yes	characteristic, complemented
173	#386	C₂²	1	1	yes	characteristic, complemented
174	#385	C₂²	1	1	yes	characteristic
175	#385	C₂²	1	1	yes	characteristic, complemented
176	#385	C₂²	1	1	yes	characteristic, complemented
177	#385	C₂²	1	1	yes	characteristic, complemented
178	#385	C₂²	1	1	yes	characteristic, complemented
179	#381	C₂²	1	1	yes	characteristic
180	#380	C₂²	1	1	yes	characteristic
181	#380	C₂²	1	1	yes	characteristic, complemented
182	#380	C₂²	1	1	yes	characteristic, complemented
183	#379	C₂²	1	1	yes	characteristic
184	#379	C₂²	1	1	yes	characteristic
185	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
189	C₂⁵	C₂³	1	1	yes	characteristic
190	C₂²×Q₈	C₂³	1	1	yes	characteristic
191	C₂²×D₄	C₂³	1	1	yes	characteristic
192	C₂²×D₄	C₂³	1	1	yes	characteristic
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	C₂²×D₄	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	—	4	2	no	—
218	#126	—	2	4	no	—
219	#126	—	2	4	no	—
220	#126	—	2	4	no	—
221	#126	—	2	4	no	—
222	#125	—	2	4	no	—
223	#125	—	2	4	no	—
224	#124	—	2	4	no	—
225	#124	—	2	4	no	—
226	#123	—	2	4	no	—
227	#123	—	2	4	no	—
228	#123	—	2	4	no	—
229	#123	—	2	4	no	—
230	#123	—	2	4	no	—
231	#123	—	2	4	no	—
232	#123	—	4	2	no	—
233	C₂²⋊Q₈	—	2	4	no	—
234	C₂²⋊Q₈	—	2	4	no	—
235	C₂²⋊Q₈	D₄	1	8	yes	complemented
236	#121	—	2	4	no	—
237	#121	—	2	4	no	—
238	#121	—	2	4	no	—
239	#121	—	2	4	no	—
240	#121	—	4	2	no	—
241	#121	—	4	2	no	—
242	#121	—	4	2	no	—
243	#121	—	4	2	no	—
244	#121	—	4	2	no	—
245	#120	—	2	4	no	—
246	#120	—	2	4	no	—
247	#120	—	4	2	no	—
248	#120	—	4	2	no	—
249	C₄×Q₈	—	4	2	no	—
250	C₄×D₄	—	2	4	no	—
251	C₄×D₄	—	2	4	no	—
252	C₄×D₄	—	2	4	no	—
253	C₄×D₄	—	2	4	no	—
254	C₄×D₄	—	4	2	no	—
255	#117	—	4	2	no	—
256	C₂×C₄⋊C₄	—	2	4	no	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄	—	2	4	no	—
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
333	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
340	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
341	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
349	C₂×C₄²	C₂³	1	1	yes	characteristic
350	C₂×C₄²	C₂³	1	1	yes	characteristic
351	C₂×C₄²	C₂³	1	1	yes	characteristic
352	C₂×C₄²	C₂³	1	1	yes	characteristic
353	C₂×C₄²	C₂³	1	1	yes	characteristic
354	C₂×C₄²	C₂³	1	1	yes	characteristic
355	C₂×C₄²	C₂³	1	1	yes	characteristic
356	C₂×C₄²	C₂³	1	1	yes	characteristic
357	C₂×C₄²	C₂³	1	1	yes	characteristic
358	C₂×C₄²	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	#95	C₂³	1	1	yes	characteristic
373	#95	C₂³	1	1	yes	characteristic
374	#95	C₂³	1	1	yes	characteristic
375	#95	C₂³	1	1	yes	characteristic
376	#95	C₂³	1	1	yes	characteristic
377	#95	C₂³	1	1	yes	characteristic
378	#95	C₂³	1	1	yes	characteristic
379	#95	C₂³	1	1	yes	characteristic
380	#95	C₂³	1	1	yes	characteristic
381	#95	C₂³	1	1	yes	characteristic
382	#95	C₂³	1	1	yes	characteristic
383	#95	C₂³	1	1	yes	characteristic
384	#95	C₂³	1	1	yes	characteristic
385	C₂⁴	—	2	2	no	—
386	C₂⁴	—	4	1	no	—
387	C₂⁴	—	4	1	no	—
388	C₂⁴	—	4	1	no	—
389	C₂⁴	—	4	1	no	—
390	C₂⁴	—	4	1	no	—
391	C₂⁴	—	4	1	no	—
392	C₂⁴	C₂⁴	1	1	yes	characteristic
393	C₂⁴	C₂⁴	1	1	yes	characteristic
394	C₂⁴	C₂⁴	1	1	yes	characteristic
395	C₂⁴	C₂⁴	1	1	yes	characteristic
396	C₂⁴	C₂⁴	1	1	yes	characteristic
397	C₂⁴	C₂⁴	1	1	yes	characteristic
398	C₂⁴	C₂⁴	1	1	yes	characteristic
399	C₂×Q₈	—	4	1	no	—
400	C₂×Q₈	—	4	1	no	—
401	C₂×Q₈	C₂×D₄	1	4	yes	—
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	—	2	2	no	—
419	C₂×D₄	—	2	2	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	1	no	—
441	C₂×D₄	—	4	1	no	—
442	C₂×D₄	—	4	1	no	—
443	C₂×D₄	—	4	1	no	—
444	C₂×D₄	—	4	1	no	—
445	C₂×D₄	—	4	1	no	—
446	C₂×D₄	—	4	1	no	—
447	C₂×D₄	—	4	1	no	—
448	C₂×D₄	—	4	1	no	—
449	C₂×D₄	—	4	1	no	—
450	C₂×D₄	—	4	1	no	—
451	C₂×D₄	—	4	1	no	—
452	C₂×D₄	—	4	1	no	—
453	C₂×D₄	—	4	1	no	—
454	C₂×D₄	—	4	1	no	—
455	C₂×D₄	—	4	1	no	—
456	C₂²×C₄	—	2	2	no	—
457	C₂²×C₄	—	2	2	no	—
458	C₂²×C₄	—	2	2	no	—
459	C₂²×C₄	—	2	2	no	—
460	C₂²×C₄	—	2	2	no	—
461	C₂²×C₄	—	2	2	no	—
462	C₂²×C₄	—	2	2	no	—
463	C₂²×C₄	—	2	2	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	—	4	1	no	—
470	C₂²×C₄	—	4	1	no	—
471	C₂²×C₄	—	4	1	no	—
472	C₂²×C₄	—	4	1	no	—
473	C₂²×C₄	—	4	1	no	—
474	C₂²×C₄	—	4	1	no	—
475	C₂²×C₄	—	4	1	no	—
476	C₂²×C₄	—	4	1	no	—
477	C₂²×C₄	—	4	1	no	—
478	C₂²×C₄	—	4	1	no	—
479	C₂²×C₄	C₂×D₄	1	4	yes	—
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	C₂²×C₄	C₂⁴	1	1	yes	characteristic
494	C₂²×C₄	C₂⁴	1	1	yes	characteristic
495	C₂²×C₄	C₂⁴	1	1	yes	characteristic
496	C₂²×C₄	C₂⁴	1	1	yes	characteristic
497	C₂²×C₄	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄	C₂⁴	1	1	yes	characteristic
504	C₄⋊C₄	—	2	2	no	—
505	C₄⋊C₄	—	2	2	no	—
506	C₄⋊C₄	—	2	2	no	—
507	C₄⋊C₄	—	2	2	no	—
508	C₄⋊C₄	—	2	2	no	—
509	C₄⋊C₄	—	2	2	no	—
510	C₄⋊C₄	—	2	2	no	—
511	C₄⋊C₄	—	2	2	no	—
512	C₄⋊C₄	—	2	2	no	—
513	C₄⋊C₄	—	2	2	no	—
514	C₄⋊C₄	—	2	2	no	—
515	C₄⋊C₄	—	2	2	no	—
516	C₄⋊C₄	—	2	2	no	—
517	C₄⋊C₄	—	2	2	no	—
518	C₄⋊C₄	—	2	2	no	—
519	C₄⋊C₄	—	2	2	no	—
520	C₄⋊C₄	—	2	2	no	—
521	C₄⋊C₄	—	4	1	no	—
522	C₄⋊C₄	—	4	1	no	—
523	C₄⋊C₄	—	4	1	no	—
524	C₄⋊C₄	—	4	1	no	—
525	C₄⋊C₄	—	4	1	no	—
526	C₄⋊C₄	—	4	1	no	—
527	C₄⋊C₄	—	4	1	no	—
528	C₄⋊C₄	—	4	1	no	—
529	C₄⋊C₄	—	4	1	no	—
530	C₄⋊C₄	—	4	1	no	—
531	C₄⋊C₄	—	4	1	no	—
532	C₄⋊C₄	—	4	1	no	—
533	C₄⋊C₄	—	4	1	no	—
534	C₄⋊C₄	C₂×D₄	1	4	yes	—
535	C₄⋊C₄	C₂×D₄	1	4	yes	—
536	C₄⋊C₄	C₂×D₄	1	4	yes	—
537	C₂²⋊C₄	—	2	2	no	—
538	C₂²⋊C₄	—	2	2	no	—
539	C₂²⋊C₄	—	2	2	no	—
540	C₂²⋊C₄	—	2	2	no	—
541	C₂²⋊C₄	—	2	2	no	—
542	C₂²⋊C₄	—	2	2	no	—
543	C₂²⋊C₄	—	2	2	no	—
544	C₂²⋊C₄	—	2	2	no	—
545	C₂²⋊C₄	—	2	2	no	—
546	C₂²⋊C₄	—	2	2	no	—
547	C₂²⋊C₄	—	2	2	no	—
548	C₂²⋊C₄	—	2	2	no	—
549	C₂²⋊C₄	—	2	2	no	—
550	C₂²⋊C₄	—	2	2	no	—
551	C₂²⋊C₄	—	2	2	no	—
552	C₂²⋊C₄	—	2	2	no	—
553	C₂²⋊C₄	—	2	2	no	—
554	C₂²⋊C₄	—	2	2	no	—
555	C₂²⋊C₄	—	2	2	no	—
556	C₂²⋊C₄	—	2	2	no	—
557	C₂²⋊C₄	—	2	2	no	—
558	C₂²⋊C₄	—	2	2	no	—
559	C₂²⋊C₄	—	2	2	no	—
560	C₂²⋊C₄	—	2	2	no	—
561	C₂²⋊C₄	—	2	2	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	—	4	1	no	—
577	C₂²⋊C₄	—	4	1	no	—
578	C₂²⋊C₄	—	4	1	no	—
579	C₂²⋊C₄	—	4	1	no	—
580	C₂²⋊C₄	—	4	1	no	—
581	C₂²⋊C₄	—	4	1	no	—
582	C₂²⋊C₄	—	4	1	no	—
583	C₂²⋊C₄	—	4	1	no	—
584	C₂²⋊C₄	—	4	1	no	—
585	C₂²⋊C₄	—	4	1	no	—
586	C₂²⋊C₄	—	4	1	no	—
587	C₂²⋊C₄	—	4	1	no	—
588	C₂²⋊C₄	—	4	1	no	—
589	C₂²⋊C₄	—	4	1	no	—
590	C₂²⋊C₄	—	4	1	no	—
591	C₂²⋊C₄	—	4	1	no	—
592	C₂²⋊C₄	—	4	1	no	—
593	C₂²⋊C₄	C₂×D₄	1	4	yes	—
594	C₂²⋊C₄	C₂×D₄	1	4	yes	—
595	C₄²	—	2	2	no	—
596	C₄²	—	2	2	no	—
597	C₄²	—	2	2	no	—
598	C₄²	—	2	2	no	—
599	C₄²	—	2	2	no	—
600	C₄²	—	4	1	no	—
601	C₄²	—	4	1	no	—
602	C₄²	—	4	1	no	—
603	C₄²	—	4	1	no	—
604	C₄²	—	4	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	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	2	1	no	—
637	C₂³	—	2	1	no	—
638	C₂³	—	2	1	no	—
639	C₂³	—	2	1	no	—
640	C₂³	—	2	1	no	—
641	C₂³	—	2	1	no	—
642	C₂³	—	2	1	no	—
643	C₂³	—	2	1	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	1	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	2	1	no	—
652	C₂³	—	4	4	no	—
653	C₂³	—	8	2	no	—
654	C₂³	—	8	2	no	—
655	C₂³	—	8	2	no	—
656	C₂³	—	8	2	no	—
657	C₂³	—	8	2	no	—
658	C₂³	—	8	2	no	—
659	C₂³	C₂²×D₄	1	2	yes	—
660	C₂³	H(5,𝔽₂)	1	2	yes	—
661	C₂³	C₂⁵	1	1	yes	characteristic
662	Q₈	—	4	4	no	—
663	D₄	—	4	4	no	—
664	D₄	—	4	4	no	—
665	D₄	—	4	4	no	—
666	D₄	—	4	4	no	—
667	D₄	—	4	4	no	—
668	D₄	—	8	2	no	—
669	D₄	—	8	2	no	—
670	D₄	—	8	2	no	—
671	D₄	—	8	2	no	—
672	D₄	—	8	2	no	—
673	D₄	—	8	2	no	—
674	D₄	—	8	2	no	—
675	D₄	—	8	2	no	—
676	D₄	—	8	2	no	—
677	D₄	—	8	2	no	—
678	D₄	—	8	2	no	—
679	D₄	—	8	2	no	—
680	D₄	—	8	2	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	—	2	1	no	—
736	C₂×C₄	—	2	1	no	—
737	C₂×C₄	—	2	1	no	—
738	C₂×C₄	—	2	1	no	—
739	C₂×C₄	—	2	1	no	—
740	C₂×C₄	—	2	1	no	—
741	C₂×C₄	—	2	1	no	—
742	C₂×C₄	—	2	1	no	—
743	C₂×C₄	—	2	1	no	—
744	C₂×C₄	—	2	1	no	—
745	C₂×C₄	—	2	1	no	—
746	C₂×C₄	—	4	4	no	—
747	C₂×C₄	—	4	4	no	—
748	C₂×C₄	—	8	2	no	—
749	C₂×C₄	—	8	2	no	—
750	C₂×C₄	—	8	2	no	—
751	C₂×C₄	—	8	2	no	—
752	C₂×C₄	—	8	2	no	—
753	C₂×C₄	—	8	2	no	—
754	C₂×C₄	C₂²×D₄	1	2	yes	—
755	C₂×C₄	C₂²×D₄	1	2	yes	—
756	C₂×C₄	C₂²×D₄	1	2	yes	—
757	C₂×C₄	C₂²×D₄	1	2	yes	—
758	C₂×C₄	C₂²×D₄	1	2	yes	—
759	C₂×C₄	C₂²×D₄	1	2	yes	—
760	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
761	C₂²	—	2	2	no	—
762	C₂²	—	2	2	no	—
763	C₂²	—	2	2	no	—
764	C₂²	—	2	2	no	—
765	C₂²	—	2	2	no	—
766	C₂²	—	2	2	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	—	4	1	no	—
800	C₂²	—	4	1	no	—
801	C₂²	—	4	1	no	—
802	C₂²	—	4	1	no	—
803	C₂²	—	4	1	no	—
804	C₂²	—	4	1	no	—
805	C₂²	—	4	1	no	—
806	C₂²	—	4	1	no	—
807	C₂²	—	4	1	no	—
808	C₂²	—	4	1	no	—
809	C₂²	—	4	1	no	—
810	C₂²	—	8	8	no	—
811	C₂²	C₂³×D₄	1	1	yes	characteristic
812	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
813	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
814	C₂²	#585	1	1	yes	characteristic
815	C₂²	#585	1	1	yes	characteristic
816	C₂²	#585	1	1	yes	characteristic
817	C₂²	#585	1	1	yes	characteristic
818	C₄	—	2	2	no	—
819	C₄	—	2	2	no	—
820	C₄	—	2	2	no	—
821	C₄	—	2	2	no	—
822	C₄	—	2	2	no	—
823	C₄	—	2	2	no	—
824	C₄	—	2	2	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	C₄	—	4	1	no	—
833	C₄	—	4	1	no	—
834	C₄	—	4	1	no	—
835	C₄	—	4	1	no	—
836	C₄	—	4	1	no	—
837	C₄	—	4	1	no	—
838	C₄	—	4	1	no	—
839	C₄	—	4	1	no	—
840	C₄	—	4	1	no	—
841	C₄	—	4	1	no	—
842	C₂	—	4	2	no	—
843	C₂	—	4	2	no	—
844	C₂	—	8	1	no	—
845	C₂	—	8	1	no	—
846	C₂	—	8	1	no	—
847	C₂	—	8	1	no	—
848	C₂	—	8	1	no	—
849	C₂	#3487	1	1	yes	characteristic
850	C₂	#3488	1	1	yes	characteristic
851	C₂	#3496	1	1	yes	characteristic
852	C₂	#3534	1	1	yes	characteristic
853	C₂	#3560	1	1	yes	characteristic
854	C₂	#3562	1	1	yes	characteristic
855	C₂	#3566	1	1	yes	characteristic

	subgroup	G/H
center, commutator, Frattini, socle, cosocle	C₂³	C₂⁵
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. C₂×#539	C₂	semidirect
2. C₂×#538	C₂	semidirect
3. #2813	C₂	semidirect
4. #2730	C₂	semidirect
5. #2730	C₂	semidirect
6. #2727	C₂	semidirect
7. #2725	C₂	semidirect
8. #2714	C₂	semidirect
9. #2711	C₂	semidirect
10. #2707	C₂	semidirect
11. #2685	C₂	semidirect
12. #2682	C₂	semidirect
13. #2678	C₂	semidirect
14. #2678	C₂	semidirect
15. #2669	C₂	semidirect
16. #2558	C₂	semidirect
17. #2534	C₂	semidirect
18. #2481	C₂	semidirect
19. #2467	C₂	semidirect
20. #2466	C₂	semidirect
21. #2464	C₂	semidirect
22. #2457	C₂	semidirect
23. #2455	C₂	semidirect
24. #2445	C₂	semidirect
25. #2428	C₂	semidirect
26. #2426	C₂	semidirect
27. #2426	C₂	semidirect
28. #2416	C₂	semidirect
29. #2414	C₂	semidirect
30. #2411	C₂	semidirect
31. #2323	C₂	semidirect
38. C₂×#126	C₂²	semidirect
39. C₂×#125	C₂²	semidirect
40. C₂×#125	C₂²	semidirect
49. C₂×#123	C₂²	semidirect
51. C₂×C₂²⋊Q₈	C₂²	semidirect
52. C₂×C₂²⋊Q₈	C₂²	semidirect
60. C₂×#121	C₂²	semidirect
61. C₂×#121	C₂²	semidirect
66. C₂×C₄×Q₈	C₂²	semidirect
70. C₂×C₄×D₄	C₂²	semidirect
71. C₂×C₄×D₄	C₂²	semidirect
73. C₂²×C₄⋊C₄	C₂²	semidirect
75. #400	C₂²	semidirect
76. #400	C₂²	semidirect
78. #399	C₂²	semidirect
79. #399	C₂²	semidirect
80. #398	C₂²	semidirect
83. #397	C₂²	semidirect
91. #396	C₂²	semidirect
92. #396	C₂²	semidirect
93. #396	C₂²	semidirect
94. #396	C₂²	semidirect
109. #394	C₂²	semidirect
110. #394	C₂²	semidirect
111. #394	C₂²	semidirect
112. #394	C₂²	semidirect
113. #394	C₂²	semidirect
122. #392	C₂²	semidirect
123. #391	C₂²	semidirect
132. #390	C₂²	semidirect
133. #390	C₂²	semidirect
134. #390	C₂²	semidirect
135. #390	C₂²	semidirect
136. #389	C₂²	semidirect
137. #389	C₂²	semidirect
138. #389	C₂²	semidirect
139. #389	C₂²	semidirect
140. #389	C₂²	semidirect
141. #389	C₂²	semidirect
142. #389	C₂²	semidirect
143. #389	C₂²	semidirect
155. #388	C₂²	semidirect
156. #388	C₂²	semidirect
157. #388	C₂²	semidirect
158. #388	C₂²	semidirect
159. #388	C₂²	semidirect
160. #387	C₂²	semidirect
161. #387	C₂²	semidirect
162. #387	C₂²	semidirect
163. #387	C₂²	semidirect
164. #387	C₂²	semidirect
171. #386	C₂²	semidirect
172. #386	C₂²	semidirect
173. #386	C₂²	semidirect
175. #385	C₂²	semidirect
176. #385	C₂²	semidirect
177. #385	C₂²	semidirect
178. #385	C₂²	semidirect
181. #380	C₂²	semidirect
182. #380	C₂²	semidirect
185. C₄×C₄⋊C₄	C₂²	semidirect
186. C₄×C₂²⋊C₄	C₂²	semidirect
187. C₄×C₂²⋊C₄	C₂²	semidirect
188. C₄×C₂²⋊C₄	C₂²	semidirect
235. C₂²⋊Q₈	D₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#539	2
C₂×#538	2
#2813	2
#2730	2
#2727	2
#2725	2
#2714	2
#2711	2
#2707	2
#2685	2
#2682	2
#2678	2
#2669	2
#2558	2
#2534	2
#2481	2
#2467	2
#2466	2
#2464	2
#2457	2
#2455	2
#2445	2
#2428	2
#2426	2
#2416	2
#2414	2
#2411	2
#2323	2