Subgroups — #34283

Order 256.

1273 conjugacy classes of subgroups.

The subgroup lattice has 803 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#538	C₂	1	1	yes	maximal, characteristic
2	#2374	C₂	1	1	yes	maximal, characteristic, complemented
3	#2373	C₂	1	1	yes	maximal, characteristic, complemented
4	#2373	C₂	1	1	yes	maximal, characteristic, complemented
5	#2372	C₂	1	1	yes	maximal, characteristic, complemented
6	#2368	C₂	1	1	yes	maximal, characteristic, complemented
7	#2367	C₂	1	1	yes	maximal, characteristic, complemented
8	#2364	C₂	1	1	yes	maximal, characteristic, complemented
9	#2364	C₂	1	1	yes	maximal, characteristic, complemented
10	#2363	C₂	1	1	yes	maximal, characteristic, complemented
11	#2361	C₂	1	1	yes	maximal, characteristic, complemented
12	#2360	C₂	1	1	yes	maximal, characteristic, complemented
13	#2359	C₂	1	1	yes	maximal, characteristic, complemented
14	#2358	C₂	1	1	yes	maximal, characteristic, complemented
15	#2358	C₂	1	1	yes	maximal, characteristic, complemented
16	#2358	C₂	1	1	yes	maximal, characteristic, complemented
17	#2358	C₂	1	1	yes	maximal, characteristic, complemented
18	#2337	C₂	1	1	yes	maximal, characteristic, complemented
19	#2335	C₂	1	1	yes	maximal, characteristic, complemented
20	#2334	C₂	1	1	yes	maximal, characteristic, complemented
21	#2333	C₂	1	1	yes	maximal, characteristic, complemented
22	#2318	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#126	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#124	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#121	C₂	1	1	yes	maximal, characteristic, complemented
27	#2290	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#388	C₂	1	1	yes	maximal, characteristic, complemented
29	#2275	C₂	1	1	yes	maximal, characteristic, complemented
30	#2273	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄²×D₄	C₂	1	1	yes	maximal, characteristic, complemented
32	#538	C₄	1	16	yes	complemented
33	C₂×#126	C₂²	1	1	yes	characteristic
34	C₂×#126	C₂²	1	1	yes	characteristic
35	C₂×#124	C₂²	1	1	yes	characteristic
36	C₂×#124	C₂²	1	1	yes	characteristic
37	C₂×#123	C₂²	1	1	yes	characteristic
38	C₂×#123	C₂²	1	1	yes	characteristic
39	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×#121	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×Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄	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
53	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
57	C₂×#117	C₂²	1	1	yes	characteristic, complemented
58	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic
59	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
60	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
61	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
62	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
63	C₂²×C₂²⋊C₄	C₂²	1	1	yes	characteristic
64	C₂²×C₄²	C₂²	1	1	yes	characteristic
65	C₂²×C₄²	C₂²	1	1	yes	characteristic, complemented
66	#391	C₂²	1	1	yes	characteristic, complemented
67	#391	C₂²	1	1	yes	characteristic, complemented
68	#391	C₂²	1	1	yes	characteristic, complemented
69	#390	C₂²	1	1	yes	characteristic
70	#390	C₂²	1	1	yes	characteristic
71	#390	C₂²	1	1	yes	characteristic
72	#390	C₂²	1	1	yes	characteristic
73	#390	C₂²	1	1	yes	characteristic, complemented
74	#389	C₂²	1	1	yes	characteristic, complemented
75	#389	C₂²	1	1	yes	characteristic, complemented
76	#389	C₂²	1	1	yes	characteristic, complemented
77	#389	C₂²	1	1	yes	characteristic, complemented
78	#388	C₂²	1	1	yes	characteristic
79	#388	C₂²	1	1	yes	characteristic
80	#388	C₂²	1	1	yes	characteristic
81	#388	C₂²	1	1	yes	characteristic
82	#388	C₂²	1	1	yes	characteristic
83	#388	C₂²	1	1	yes	characteristic
84	#388	C₂²	1	1	yes	characteristic
85	#388	C₂²	1	1	yes	characteristic
86	#388	C₂²	1	1	yes	characteristic
87	#388	C₂²	1	1	yes	characteristic
88	#388	C₂²	1	1	yes	characteristic
89	#388	C₂²	1	1	yes	characteristic
90	#388	C₂²	1	1	yes	characteristic
91	#388	C₂²	1	1	yes	characteristic
92	#388	C₂²	1	1	yes	characteristic
93	#388	C₂²	1	1	yes	characteristic
94	#388	C₂²	1	1	yes	characteristic, complemented
95	#388	C₂²	1	1	yes	characteristic, complemented
96	#388	C₂²	1	1	yes	characteristic, complemented
97	#388	C₂²	1	1	yes	characteristic, complemented
98	#388	C₂²	1	1	yes	characteristic, complemented
99	#388	C₂²	1	1	yes	characteristic, complemented
100	#388	C₂²	1	1	yes	characteristic, complemented
101	#388	C₂²	1	1	yes	characteristic, complemented
102	#387	C₂²	1	1	yes	characteristic, complemented
103	#387	C₂²	1	1	yes	characteristic, complemented
104	#387	C₂²	1	1	yes	characteristic, complemented
105	#387	C₂²	1	1	yes	characteristic, complemented
106	#387	C₂²	1	1	yes	characteristic, complemented
107	#387	C₂²	1	1	yes	characteristic, complemented
108	#387	C₂²	1	1	yes	characteristic, complemented
109	#387	C₂²	1	1	yes	characteristic, complemented
110	#387	C₂²	1	1	yes	characteristic, complemented
111	#387	C₂²	1	1	yes	characteristic, complemented
112	#387	C₂²	1	1	yes	characteristic, complemented
113	#387	C₂²	1	1	yes	characteristic, complemented
114	#386	C₂²	1	1	yes	characteristic
115	#386	C₂²	1	1	yes	characteristic
116	#386	C₂²	1	1	yes	characteristic
117	#386	C₂²	1	1	yes	characteristic
118	#386	C₂²	1	1	yes	characteristic
119	#386	C₂²	1	1	yes	characteristic
120	#386	C₂²	1	1	yes	characteristic
121	#386	C₂²	1	1	yes	characteristic
122	#386	C₂²	1	1	yes	characteristic
123	#386	C₂²	1	1	yes	characteristic
124	#386	C₂²	1	1	yes	characteristic
125	#386	C₂²	1	1	yes	characteristic
126	#386	C₂²	1	1	yes	characteristic, complemented
127	#386	C₂²	1	1	yes	characteristic, complemented
128	#385	C₂²	1	1	yes	characteristic
129	#385	C₂²	1	1	yes	characteristic
130	#385	C₂²	1	1	yes	characteristic
131	#385	C₂²	1	1	yes	characteristic
132	#385	C₂²	1	1	yes	characteristic
133	#385	C₂²	1	1	yes	characteristic
134	#385	C₂²	1	1	yes	characteristic
135	#385	C₂²	1	1	yes	characteristic
136	#385	C₂²	1	1	yes	characteristic, complemented
137	#385	C₂²	1	1	yes	characteristic, complemented
138	#383	C₂²	1	1	yes	characteristic, complemented
139	#382	C₂²	1	1	yes	characteristic, complemented
140	#381	C₂²	1	1	yes	characteristic, complemented
141	#380	C₂²	1	1	yes	characteristic, complemented
142	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
143	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
144	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
145	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
146	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
147	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
148	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
149	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
154	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
157	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
158	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
159	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
174	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
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	#376	C₂²	1	1	yes	characteristic, complemented
183	#376	C₂²	1	1	yes	characteristic, complemented
184	C₂×#95	C₂²	1	1	yes	characteristic
185	C₂×#95	C₂²	1	1	yes	characteristic
186	C₂×#95	C₂²	1	1	yes	characteristic, complemented
187	C₄³	C₂²	1	1	yes	characteristic, complemented
188	C₂⁵	C₂³	1	1	yes	characteristic
189	C₂²×Q₈	C₂³	1	1	yes	characteristic
190	C₂²×D₄	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	C₂³×C₄	C₂³	1	1	yes	characteristic
198	C₂³×C₄	C₂³	1	1	yes	characteristic
199	C₂³×C₄	C₂³	1	1	yes	characteristic
200	C₂³×C₄	C₂³	1	1	yes	characteristic
201	C₂³×C₄	C₂³	1	1	yes	characteristic
202	C₂³×C₄	C₂³	1	1	yes	characteristic
203	C₂³×C₄	C₂³	1	1	yes	characteristic
204	C₂³×C₄	C₂³	1	1	yes	characteristic
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	#126	C₂×C₄	1	8	yes	complemented
214	#126	C₂×C₄	1	8	yes	complemented
215	#124	C₂×C₄	1	8	yes	complemented
216	#124	C₂×C₄	1	8	yes	complemented
217	#123	C₂×C₄	1	8	yes	complemented
218	#123	C₂×C₄	1	8	yes	complemented
219	C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
220	#121	C₂×C₄	1	8	yes	complemented
221	#121	C₂×C₄	1	8	yes	complemented
222	#121	C₂×C₄	1	8	yes	complemented
223	#120	C₂×C₄	1	8	yes	complemented
224	#120	C₂×C₄	1	8	yes	complemented
225	C₄×Q₈	—	4	2	no	—
226	C₄×D₄	—	2	4	no	—
227	C₄×D₄	—	2	4	no	—
228	C₄×D₄	—	2	4	no	—
229	C₄×D₄	—	2	4	no	—
230	C₄×D₄	—	4	2	no	—
231	C₄×D₄	—	4	2	no	—
232	C₄×D₄	—	4	2	no	—
233	C₄×D₄	—	4	2	no	—
234	C₄×D₄	—	4	2	no	—
235	C₄×D₄	C₂×C₄	1	8	yes	complemented
236	C₄×D₄	C₂×C₄	1	8	yes	complemented
237	#117	—	4	2	no	—
238	C₂×C₄⋊C₄	—	4	2	no	—
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×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×C₂²⋊C₄	—	2	4	no	—
262	C₂×C₂²⋊C₄	—	2	4	no	—
263	C₂×C₂²⋊C₄	—	4	2	no	—
264	C₂×C₂²⋊C₄	—	4	2	no	—
265	C₂×C₂²⋊C₄	C₂×C₄	1	8	yes	complemented
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×C₄²	—	4	2	no	—
309	C₂×C₄²	—	4	2	no	—
310	C₂×C₄²	C₂³	1	1	yes	characteristic
311	C₂×C₄²	C₂³	1	1	yes	characteristic
312	C₂×C₄²	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	C₂×C₄²	C₂³	1	1	yes	characteristic
323	C₂×C₄²	C₂³	1	1	yes	characteristic
324	C₂×C₄²	C₂³	1	1	yes	characteristic
325	C₂×C₄²	C₂³	1	1	yes	characteristic
326	C₂×C₄²	C₂³	1	1	yes	characteristic
327	C₂×C₄²	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	#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	#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	C₂⁴	—	2	2	no	—
377	C₂⁴	—	2	2	no	—
378	C₂⁴	—	4	1	no	—
379	C₂⁴	—	4	1	no	—
380	C₂⁴	—	4	1	no	—
381	C₂⁴	—	4	1	no	—
382	C₂⁴	C₂²×C₄	1	4	yes	—
383	C₂⁴	C₂⁴	1	1	yes	characteristic
384	C₂⁴	C₂⁴	1	1	yes	characteristic
385	C₂⁴	C₂⁴	1	1	yes	characteristic
386	C₂⁴	C₂⁴	1	1	yes	characteristic
387	C₂⁴	C₂⁴	1	1	yes	characteristic
388	C₂×Q₈	—	4	1	no	—
389	C₂×Q₈	—	4	1	no	—
390	C₂×Q₈	C₂²×C₄	1	4	yes	—
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	—	4	1	no	—
396	C₂×D₄	—	4	1	no	—
397	C₂×D₄	—	4	1	no	—
398	C₂×D₄	—	4	1	no	—
399	C₂×D₄	—	4	1	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	C₂²×C₄	1	4	yes	—
406	C₂×D₄	C₂²×C₄	1	4	yes	—
407	C₂×D₄	C₂²×C₄	1	4	yes	—
408	C₂×D₄	C₂²×C₄	1	4	yes	—
409	C₂×D₄	C₂²×C₄	1	4	yes	—
410	C₂×D₄	C₂²×C₄	1	4	yes	—
411	C₂×D₄	C₂²×C₄	1	4	yes	—
412	C₂²×C₄	—	2	2	no	—
413	C₂²×C₄	—	2	2	no	—
414	C₂²×C₄	—	2	2	no	—
415	C₂²×C₄	—	2	2	no	—
416	C₂²×C₄	—	2	2	no	—
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	—	4	1	no	—
429	C₂²×C₄	—	4	1	no	—
430	C₂²×C₄	—	4	1	no	—
431	C₂²×C₄	—	4	1	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	1	no	—
453	C₂²×C₄	—	4	1	no	—
454	C₂²×C₄	—	4	1	no	—
455	C₂²×C₄	—	4	1	no	—
456	C₂²×C₄	C₂²×C₄	1	4	yes	—
457	C₂²×C₄	C₂²×C₄	1	4	yes	—
458	C₂²×C₄	C₂²×C₄	1	4	yes	—
459	C₂²×C₄	C₂²×C₄	1	4	yes	—
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	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	C₄⋊C₄	—	2	2	no	—
487	C₄⋊C₄	—	2	2	no	—
488	C₄⋊C₄	—	2	2	no	—
489	C₄⋊C₄	—	2	2	no	—
490	C₄⋊C₄	—	2	2	no	—
491	C₄⋊C₄	—	2	2	no	—
492	C₄⋊C₄	—	2	2	no	—
493	C₄⋊C₄	—	2	2	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	C₂²×C₄	1	4	yes	—
503	C₄⋊C₄	C₂²×C₄	1	4	yes	—
504	C₄⋊C₄	C₂²×C₄	1	4	yes	—
505	C₄⋊C₄	C₂²×C₄	1	4	yes	—
506	C₄⋊C₄	C₂²×C₄	1	4	yes	—
507	C₄⋊C₄	C₂²×C₄	1	4	yes	—
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	—	4	1	no	—
525	C₂²⋊C₄	—	4	1	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	C₂²×C₄	1	4	yes	—
535	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
536	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
537	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
538	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
539	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
540	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
541	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
542	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
543	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
544	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
545	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
546	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
547	C₂²⋊C₄	C₂²×C₄	1	4	yes	—
548	C₂²⋊C₄	#41	1	4	yes	—
549	C₂²⋊C₄	#41	1	4	yes	—
550	C₄²	—	2	2	no	—
551	C₄²	—	2	2	no	—
552	C₄²	—	2	2	no	—
553	C₄²	—	2	2	no	—
554	C₄²	—	2	2	no	—
555	C₄²	—	2	2	no	—
556	C₄²	—	2	2	no	—
557	C₄²	—	2	2	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	C₄²	—	4	1	no	—
567	C₄²	—	4	1	no	—
568	C₄²	—	4	1	no	—
569	C₄²	—	4	1	no	—
570	C₄²	—	4	1	no	—
571	C₄²	—	4	1	no	—
572	C₄²	—	4	1	no	—
573	C₄²	—	4	1	no	—
574	C₄²	C₂²×C₄	1	4	yes	—
575	C₄²	C₂²×C₄	1	4	yes	—
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	—	2	1	no	—
604	C₂³	—	2	8	no	—
605	C₂³	—	4	4	no	—
606	C₂³	—	4	4	no	—
607	C₂³	—	8	2	no	—
608	C₂³	—	8	2	no	—
609	C₂³	—	8	2	no	—
610	C₂³	—	8	2	no	—
611	C₂³	C₂³×C₄	1	2	yes	—
612	C₂³	C₂³×C₄	1	2	yes	—
613	C₂³	C₂³×C₄	1	2	yes	—
614	C₂³	C₂³×C₄	1	2	yes	—
615	C₂³	C₂³×C₄	1	2	yes	—
616	C₂³	C₂×#41	1	2	yes	—
617	C₂³	C₂×#41	1	2	yes	—
618	C₂³	C₂⁵	1	1	yes	characteristic
619	Q₈	—	4	4	no	—
620	D₄	—	2	8	no	—
621	D₄	—	2	8	no	—
622	D₄	—	4	4	no	—
623	D₄	—	4	4	no	—
624	D₄	—	4	4	no	—
625	D₄	—	4	4	no	—
626	D₄	—	4	4	no	—
627	C₂×C₄	—	2	1	no	—
628	C₂×C₄	—	2	1	no	—
629	C₂×C₄	—	2	1	no	—
630	C₂×C₄	—	2	1	no	—
631	C₂×C₄	—	2	1	no	—
632	C₂×C₄	—	2	1	no	—
633	C₂×C₄	—	2	1	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	—	4	4	no	—
690	C₂×C₄	—	4	4	no	—
691	C₂×C₄	—	4	4	no	—
692	C₂×C₄	—	4	4	no	—
693	C₂×C₄	—	4	4	no	—
694	C₂×C₄	—	4	4	no	—
695	C₂×C₄	—	4	4	no	—
696	C₂×C₄	—	4	4	no	—
697	C₂×C₄	—	8	2	no	—
698	C₂×C₄	—	8	2	no	—
699	C₂×C₄	—	8	2	no	—
700	C₂×C₄	—	8	2	no	—
701	C₂×C₄	—	8	2	no	—
702	C₂×C₄	—	8	2	no	—
703	C₂×C₄	—	8	2	no	—
704	C₂×C₄	—	8	2	no	—
705	C₂×C₄	C₂³×C₄	1	2	yes	—
706	C₂×C₄	C₂³×C₄	1	2	yes	—
707	C₂×C₄	C₂³×C₄	1	2	yes	—
708	C₂×C₄	C₂³×C₄	1	2	yes	—
709	C₂×C₄	C₂³×C₄	1	2	yes	—
710	C₂×C₄	C₂³×C₄	1	2	yes	—
711	C₂×C₄	C₂³×C₄	1	2	yes	—
712	C₂×C₄	C₂³×C₄	1	2	yes	—
713	C₂×C₄	C₂³×C₄	1	2	yes	—
714	C₂×C₄	C₂³×C₄	1	2	yes	—
715	C₂×C₄	C₂×#41	1	2	yes	—
716	C₂×C₄	C₂×#41	1	2	yes	—
717	C₂×C₄	C₂×#41	1	2	yes	—
718	C₂×C₄	C₂×#41	1	2	yes	—
719	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
720	C₂×C₄	H(5,𝔽₂)	1	2	yes	—
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	—	2	2	no	—
736	C₂²	—	2	2	no	—
737	C₂²	—	2	2	no	—
738	C₂²	—	2	2	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	—	8	8	no	—
756	C₂²	C₄×#41	1	4	yes	—
757	C₂²	C₂⁴×C₄	1	1	yes	characteristic
758	C₂²	C₂²×#41	1	1	yes	characteristic
759	C₂²	C₂²×#41	1	1	yes	characteristic
760	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
761	C₂²	C₂×H(5,𝔽₂)	1	1	yes	characteristic
762	C₂²	#585	1	1	yes	characteristic
763	C₂²	#585	1	1	yes	characteristic
764	C₄	—	2	2	no	—
765	C₄	—	2	2	no	—
766	C₄	—	2	2	no	—
767	C₄	—	2	2	no	—
768	C₄	—	2	2	no	—
769	C₄	—	2	2	no	—
770	C₄	—	2	2	no	—
771	C₄	—	2	2	no	—
772	C₄	—	2	2	no	—
773	C₄	—	2	2	no	—
774	C₄	—	2	2	no	—
775	C₄	—	2	2	no	—
776	C₄	—	2	2	no	—
777	C₄	—	2	2	no	—
778	C₄	—	2	2	no	—
779	C₄	—	2	2	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	C₂	—	2	4	no	—
791	C₂	—	4	2	no	—
792	C₂	—	4	2	no	—
793	C₂	—	4	2	no	—
794	C₂	—	4	2	no	—
795	C₂	C₂×C₄×#41	1	1	yes	characteristic
796	C₂	C₄×H(5,𝔽₂)	1	1	yes	characteristic
797	C₂	C₄×H(5,𝔽₂)	1	1	yes	characteristic
798	C₂	#3513	1	1	yes	characteristic
799	C₂	#3514	1	1	yes	characteristic
800	C₂	#3519	1	1	yes	characteristic
801	C₂	#3521	1	1	yes	characteristic

	subgroup	G/H
center, Frattini, socle, cosocle	C₂³	C₂⁵
commutator	C₂²	C₂⁴×C₄
prime radical	C₂×#538	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂³ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #2374	C₂	semidirect
3. #2373	C₂	semidirect
4. #2373	C₂	semidirect
5. #2372	C₂	semidirect
6. #2368	C₂	semidirect
7. #2367	C₂	semidirect
8. #2364	C₂	semidirect
9. #2364	C₂	semidirect
10. #2363	C₂	semidirect
11. #2361	C₂	semidirect
12. #2360	C₂	semidirect
13. #2359	C₂	semidirect
14. #2358	C₂	semidirect
15. #2358	C₂	semidirect
16. #2358	C₂	semidirect
17. #2358	C₂	semidirect
18. #2337	C₂	semidirect
19. #2335	C₂	semidirect
20. #2334	C₂	semidirect
21. #2333	C₂	semidirect
22. #2318	C₂	semidirect
23. C₄×#126	C₂	semidirect
24. C₄×#124	C₂	semidirect
25. C₄×#123	C₂	semidirect
26. C₄×#121	C₂	semidirect
27. #2290	C₂	semidirect
28. C₂×#388	C₂	semidirect
29. #2275	C₂	semidirect
30. #2273	C₂	semidirect
31. C₄²×D₄	C₂	semidirect
32. #538	C₄	semidirect
45. C₂×C₄×Q₈	C₂²	semidirect
56. C₂×C₄×D₄	C₂²	semidirect
57. C₂×#117	C₂²	semidirect
65. C₂²×C₄²	C₂²	semidirect
66. #391	C₂²	semidirect
67. #391	C₂²	semidirect
68. #391	C₂²	semidirect
73. #390	C₂²	semidirect
74. #389	C₂²	semidirect
75. #389	C₂²	semidirect
76. #389	C₂²	semidirect
77. #389	C₂²	semidirect
94. #388	C₂²	semidirect
95. #388	C₂²	semidirect
96. #388	C₂²	semidirect
97. #388	C₂²	semidirect
98. #388	C₂²	semidirect
99. #388	C₂²	semidirect
100. #388	C₂²	semidirect
101. #388	C₂²	semidirect
102. #387	C₂²	semidirect
103. #387	C₂²	semidirect
104. #387	C₂²	semidirect
105. #387	C₂²	semidirect
106. #387	C₂²	semidirect
107. #387	C₂²	semidirect
108. #387	C₂²	semidirect
109. #387	C₂²	semidirect
110. #387	C₂²	semidirect
111. #387	C₂²	semidirect
112. #387	C₂²	semidirect
113. #387	C₂²	semidirect
126. #386	C₂²	semidirect
127. #386	C₂²	semidirect
136. #385	C₂²	semidirect
137. #385	C₂²	semidirect
138. #383	C₂²	semidirect
139. #382	C₂²	semidirect
140. #381	C₂²	semidirect
141. #380	C₂²	semidirect
142. C₄×C₄⋊C₄	C₂²	semidirect
143. C₄×C₄⋊C₄	C₂²	semidirect
144. C₄×C₄⋊C₄	C₂²	semidirect
145. C₄×C₄⋊C₄	C₂²	semidirect
146. C₄×C₄⋊C₄	C₂²	semidirect
147. C₄×C₄⋊C₄	C₂²	semidirect
148. C₄×C₄⋊C₄	C₂²	semidirect
149. C₄×C₄⋊C₄	C₂²	semidirect
150. C₄×C₄⋊C₄	C₂²	semidirect
151. C₄×C₄⋊C₄	C₂²	semidirect
152. C₄×C₄⋊C₄	C₂²	semidirect
173. C₄×C₂²⋊C₄	C₂²	semidirect
174. C₄×C₂²⋊C₄	C₂²	semidirect
175. C₄×C₂²⋊C₄	C₂²	semidirect
176. C₄×C₂²⋊C₄	C₂²	semidirect
177. C₄×C₂²⋊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. #376	C₂²	semidirect
183. #376	C₂²	semidirect
186. C₂×#95	C₂²	semidirect
187. C₄³	C₂²	semidirect
213. #126	C₂×C₄	semidirect
214. #126	C₂×C₄	semidirect
215. #124	C₂×C₄	semidirect
216. #124	C₂×C₄	semidirect
217. #123	C₂×C₄	semidirect
218. #123	C₂×C₄	semidirect
219. C₂²⋊Q₈	C₂×C₄	semidirect
220. #121	C₂×C₄	semidirect
221. #121	C₂×C₄	semidirect
222. #121	C₂×C₄	semidirect
223. #120	C₂×C₄	semidirect
224. #120	C₂×C₄	semidirect
235. C₄×D₄	C₂×C₄	semidirect
236. C₄×D₄	C₂×C₄	semidirect
265. C₂×C₂²⋊C₄	C₂×C₄	semidirect

Maximal subgroups

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

subgroup	index
C₂×#538	2
#2374	2
#2373	2
#2372	2
#2368	2
#2367	2
#2364	2
#2363	2
#2361	2
#2360	2
#2359	2
#2358	2
#2337	2
#2335	2
#2334	2
#2333	2
#2318	2
C₄×#126	2
C₄×#124	2
C₄×#123	2
C₄×#121	2
#2290	2
C₂×#388	2
#2275	2
#2273	2
C₄²×D₄	2