Subgroups — C₂²×#3495 #10585981

Order 512.

35054 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3495	C₂	1	96	yes	maximal, direct product factor
2	C₂²×#556	C₂	1	2	yes	maximal, complemented
3	C₂²×#552	C₂	1	2	yes	maximal, complemented
4	C₂²×#552	C₂	1	4	yes	maximal, complemented
5	C₂²×#552	C₂	1	2	yes	maximal, complemented
6	C₂²×#551	C₂	1	4	yes	maximal, complemented
7	C₂²×#554	C₂	1	2	yes	maximal, complemented
8	C₂²×#541	C₂	1	2	yes	maximal, complemented
9	C₂²×#536	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂²×#542	C₂	1	2	yes	maximal, complemented
11	C₂²×#544	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#533	C₂	1	2	yes	maximal, complemented
13	C₂²×#529	C₂	1	2	yes	maximal, complemented
14	C₂²×#525	C₂	1	1	yes	maximal, characteristic
15	C₂³×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×#520	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×#519	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂³×#117	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂³×#41	C₂²	1	1	yes	characteristic
20	C₂⁴×Q₈	C₂²	1	1	yes	characteristic
21	C₂⁵×C₄	C₂²	1	1	yes	characteristic
22	#3495	C₂²	1	1024	yes	direct product factor
23	C₂×#556	C₂²	1	96	yes	complemented
24	C₂×#554	C₂²	1	96	yes	complemented
25	C₂×#552	C₂²	1	96	yes	complemented
26	C₂×#552	C₂²	1	192	yes	complemented
27	C₂×#552	C₂²	1	96	yes	complemented
28	C₂×#551	C₂²	1	192	yes	complemented
29	C₂×#544	C₂²	1	48	yes	complemented
30	C₂×#542	C₂²	1	96	yes	complemented
31	C₂×#541	C₂²	1	96	yes	complemented
32	C₂×#536	C₂²	1	48	yes	complemented
33	C₂×#533	C₂²	1	96	yes	complemented
34	C₂²×C₄⋊Q₈	C₂²	1	2	yes	complemented
35	C₂²×C₄⋊Q₈	C₂²	1	2	yes	complemented
36	C₂²×C₄⋊Q₈	C₂²	1	2	yes	complemented
37	C₂×#529	C₂²	1	96	yes	complemented
38	C₂²×#126	C₂²	1	4	yes	—
39	C₂²×#126	C₂²	1	4	yes	—
40	C₂²×#126	C₂²	1	4	yes	complemented
41	C₂²×#126	C₂²	1	4	yes	complemented
42	C₂²×#125	C₂²	1	2	yes	complemented
43	C₂²×#125	C₂²	1	4	yes	complemented
44	C₂²×#125	C₂²	1	2	yes	complemented
45	C₂²×#125	C₂²	1	4	yes	complemented
46	C₂²×#125	C₂²	1	4	yes	complemented
47	C₂²×#124	C₂²	1	4	yes	—
48	C₂²×#124	C₂²	1	2	yes	complemented
49	C₂×#525	C₂²	1	48	yes	—
50	C₂²×#123	C₂²	1	2	yes	—
51	C₂²×#123	C₂²	1	4	yes	—
52	C₂²×#123	C₂²	1	4	yes	—
53	C₂²×#123	C₂²	1	4	yes	—
54	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	—
55	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	—
56	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	—
57	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	—
58	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
59	C₂²×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
60	C₂²×C₂²⋊Q₈	C₂²	1	4	yes	—
61	C₂²×C₂²⋊Q₈	C₂²	1	4	yes	—
62	C₂²×C₂²⋊Q₈	C₂²	1	48	yes	complemented
63	C₂²×C₂²⋊Q₈	C₂²	1	4	yes	complemented
64	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
65	C₂²×C₂²⋊Q₈	C₂²	1	2	yes	complemented
66	C₂²×#121	C₂²	1	1	yes	characteristic
67	C₂²×#121	C₂²	1	1	yes	characteristic
68	C₂²×#120	C₂²	1	2	yes	—
69	C₂×#520	C₂²	1	48	yes	complemented
70	C₂×#519	C₂²	1	48	yes	complemented
71	C₂²×C₄×Q₈	C₂²	1	2	yes	complemented
72	C₂²×C₄×Q₈	C₂²	1	2	yes	complemented
73	C₂²×C₄×Q₈	C₂²	1	2	yes	complemented
74	C₂²×C₄×Q₈	C₂²	1	2	yes	complemented
75	C₂²×C₄×Q₈	C₂²	1	2	yes	complemented
76	C₂²×C₄×Q₈	C₂²	1	4	yes	complemented
77	C₂²×C₄×D₄	C₂²	1	4	yes	—
78	C₂²×C₄×D₄	C₂²	1	2	yes	—
79	C₂²×C₄×D₄	C₂²	1	2	yes	—
80	C₂²×C₄×D₄	C₂²	1	4	yes	—
81	C₂²×C₄×D₄	C₂²	1	2	yes	complemented
82	C₂²×#117	C₂²	1	1	yes	characteristic
83	C₂²×#117	C₂²	1	1	yes	characteristic
84	C₂²×#117	C₂²	1	2	yes	—
85	C₂²×#117	C₂²	1	2	yes	—
86	C₂²×#117	C₂²	1	1	yes	characteristic
87	C₂²×#117	C₂²	1	1	yes	characteristic
88	C₂²×#117	C₂²	1	1	yes	characteristic
89	C₂²×#117	C₂²	1	4	yes	—
90	C₂²×#117	C₂²	1	4	yes	—
91	C₂²×#117	C₂²	1	48	yes	complemented
92	C₂²×#117	C₂²	1	2	yes	complemented
93	C₂²×#117	C₂²	1	4	yes	complemented
94	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic
95	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic
96	C₂³×C₄⋊C₄	C₂²	1	1	yes	characteristic
97	C₂³×C₄⋊C₄	C₂²	1	2	yes	—
98	C₂³×C₄⋊C₄	C₂²	1	2	yes	complemented
99	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
100	C₂³×C₂²⋊C₄	C₂²	1	2	yes	—
101	C₂³×C₄²	C₂²	1	2	yes	—
102	C₂⁶	C₂³	1	1	yes	characteristic
103	C₂²×#41	—	2	16	no	—
104	C₂²×#41	C₂³	1	24	yes	—
105	C₂³×Q₈	—	2	16	no	—
106	C₂³×Q₈	C₂³	1	2	yes	—
107	C₂³×Q₈	C₂³	1	2	yes	—
108	C₂³×Q₈	C₂³	1	24	yes	—
109	C₂³×Q₈	C₂³	1	1	yes	characteristic
110	C₂³×Q₈	C₂³	1	4	yes	—
111	C₂³×D₄	C₂³	1	2	yes	—
112	C₂³×D₄	C₂³	1	1	yes	characteristic
113	C₂³×D₄	C₂³	1	2	yes	—
114	C₂³×D₄	C₂³	1	2	yes	—
115	C₂⁴×C₄	—	2	16	no	—
116	C₂⁴×C₄	C₂³	1	1	yes	characteristic
117	C₂⁴×C₄	C₂³	1	1	yes	characteristic
118	C₂⁴×C₄	C₂³	1	1	yes	characteristic
119	C₂⁴×C₄	C₂³	1	1	yes	characteristic
120	C₂⁴×C₄	C₂³	1	1	yes	characteristic
121	C₂⁴×C₄	C₂³	1	24	yes	—
122	C₂⁴×C₄	C₂³	1	2	yes	—
123	C₂⁴×C₄	C₂³	1	2	yes	—
124	C₂⁴×C₄	C₂³	1	2	yes	—
125	C₂⁴×C₄	C₂³	1	2	yes	—
126	C₂⁴×C₄	C₂³	1	2	yes	—
127	C₂⁴×C₄	C₂³	1	4	yes	—
128	C₂⁴×C₄	C₂³	1	1	yes	characteristic
129	#556	C₂³	1	512	yes	complemented
130	#554	C₂³	1	512	yes	complemented
131	#552	C₂³	1	512	yes	complemented
132	#552	C₂³	1	1024	yes	complemented
133	#552	C₂³	1	512	yes	complemented
134	#551	C₂³	1	1024	yes	complemented
135	#544	C₂³	1	256	yes	complemented
136	#542	C₂³	1	512	yes	complemented
137	#541	C₂³	1	512	yes	complemented
138	#536	C₂³	1	256	yes	complemented
139	#533	C₂³	1	512	yes	complemented
140	C₂×C₄⋊Q₈	C₂³	1	48	yes	complemented
141	C₂×C₄⋊Q₈	C₂³	1	48	yes	complemented
142	C₂×C₄⋊Q₈	C₂³	1	48	yes	complemented
143	#529	C₂³	1	512	yes	complemented
144	C₂×#126	C₂³	1	96	yes	—
145	C₂×#126	C₂³	1	96	yes	—
146	C₂×#126	C₂³	1	96	yes	complemented
147	C₂×#126	C₂³	1	96	yes	complemented
148	C₂×#125	C₂³	1	48	yes	complemented
149	C₂×#125	C₂³	1	96	yes	complemented
150	C₂×#125	C₂³	1	96	yes	complemented
151	C₂×#125	C₂³	1	96	yes	complemented
152	C₂×#125	C₂³	1	48	yes	complemented
153	C₂×#124	C₂³	1	96	yes	—
154	C₂×#124	C₂³	1	48	yes	complemented
155	#525	C₂³	1	256	yes	—
156	C₂×#123	C₂³	1	48	yes	—
157	C₂×#123	C₂³	1	96	yes	—
158	C₂×#123	C₂³	1	96	yes	—
159	C₂×#123	C₂³	1	96	yes	—
160	C₂×C₂²⋊Q₈	C₂³	1	48	yes	—
161	C₂×C₂²⋊Q₈	C₂³	1	48	yes	—
162	C₂×C₂²⋊Q₈	C₂³	1	48	yes	—
163	C₂×C₂²⋊Q₈	C₂³	1	48	yes	—
164	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
165	C₂×C₂²⋊Q₈	C₂³	1	24	yes	—
166	C₂×C₂²⋊Q₈	C₂³	1	96	yes	—
167	C₂×C₂²⋊Q₈	C₂³	1	96	yes	—
168	C₂×C₂²⋊Q₈	C₂³	1	256	yes	complemented
169	C₂×C₂²⋊Q₈	C₂³	1	48	yes	complemented
170	C₂×C₂²⋊Q₈	C₂³	1	48	yes	complemented
171	C₂×C₂²⋊Q₈	C₂³	1	96	yes	complemented
172	C₂×#121	C₂³	1	24	yes	—
173	C₂×#121	C₂³	1	24	yes	—
174	C₂×#120	C₂³	1	48	yes	—
175	#520	C₂³	1	256	yes	complemented
176	#519	C₂³	1	256	yes	complemented
177	C₂×C₄×Q₈	C₂³	1	48	yes	complemented
178	C₂×C₄×Q₈	C₂³	1	48	yes	complemented
179	C₂×C₄×Q₈	C₂³	1	48	yes	complemented
180	C₂×C₄×Q₈	C₂³	1	48	yes	complemented
181	C₂×C₄×Q₈	C₂³	1	48	yes	complemented
182	C₂×C₄×Q₈	C₂³	1	96	yes	complemented
183	C₂×C₄×D₄	C₂³	1	96	yes	—
184	C₂×C₄×D₄	C₂³	1	48	yes	—
185	C₂×C₄×D₄	C₂³	1	48	yes	—
186	C₂×C₄×D₄	C₂³	1	96	yes	—
187	C₂×C₄×D₄	C₂³	1	48	yes	complemented
188	C₂×#117	C₂³	1	24	yes	—
189	C₂×#117	C₂³	1	24	yes	—
190	C₂×#117	C₂³	1	48	yes	—
191	C₂×#117	C₂³	1	24	yes	—
192	C₂×#117	C₂³	1	48	yes	—
193	C₂×#117	C₂³	1	24	yes	—
194	C₂×#117	C₂³	1	24	yes	—
195	C₂×#117	C₂³	1	96	yes	—
196	C₂×#117	C₂³	1	96	yes	—
197	C₂×#117	C₂³	1	256	yes	complemented
198	C₂×#117	C₂³	1	48	yes	complemented
199	C₂×#117	C₂³	1	96	yes	complemented
200	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
202	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
205	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
207	C₂²×C₄⋊C₄	C₂³	1	24	yes	—
208	C₂²×C₄⋊C₄	C₂³	1	24	yes	—
209	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
210	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
211	C₂²×C₄⋊C₄	C₂³	1	24	yes	—
212	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
213	C₂²×C₄⋊C₄	C₂³	1	48	yes	—
214	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
215	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
218	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
219	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
220	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
221	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
222	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
223	C₂²×C₄⋊C₄	C₂³	1	2	yes	—
224	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
225	C₂²×C₄⋊C₄	C₂³	1	4	yes	—
226	C₂²×C₄⋊C₄	C₂³	1	48	yes	complemented
227	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
228	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
231	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
232	C₂²×C₂²⋊C₄	C₂³	1	48	yes	—
233	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
234	C₂²×C₂²⋊C₄	C₂³	1	48	yes	—
235	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
236	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
237	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
238	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
239	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
240	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
241	C₂²×C₂²⋊C₄	C₂³	1	2	yes	—
242	C₂²×C₂²⋊C₄	C₂³	1	4	yes	—
243	C₂²×C₄²	C₂³	1	2	yes	—
244	C₂²×C₄²	C₂³	1	2	yes	—
245	C₂²×C₄²	C₂³	1	2	yes	—
246	C₂²×C₄²	C₂³	1	2	yes	—
247	C₂²×C₄²	C₂³	1	48	yes	—
248	C₂²×C₄²	C₂³	1	4	yes	—
249	C₂²×C₄²	C₂³	1	4	yes	—
250	C₂²×C₄²	C₂³	1	4	yes	—
251	C₂²×C₄²	C₂³	1	2	yes	—
252	C₂⁵	—	2	8	no	—
253	C₂⁵	—	2	8	no	—
254	C₂⁵	—	4	4	no	—
255	C₂⁵	C₂⁴	1	1	yes	characteristic
256	C₂⁵	C₂⁴	1	2	yes	—
257	C₂⁵	C₂⁴	1	12	yes	—
258	C₂⁵	C₂⁴	1	1	yes	characteristic
259	C₂⁵	C₂⁴	1	1	yes	characteristic
260	C₂×#41	—	2	192	no	—
261	C₂×#41	C₂⁴	1	64	yes	—
262	C₂²×Q₈	—	2	16	no	—
263	C₂²×Q₈	—	2	16	no	—
264	C₂²×Q₈	—	2	192	no	—
265	C₂²×Q₈	—	2	8	no	—
266	C₂²×Q₈	—	4	16	no	—
267	C₂²×Q₈	C₂⁴	1	24	yes	—
268	C₂²×Q₈	C₂⁴	1	24	yes	—
269	C₂²×Q₈	C₂⁴	1	12	yes	—
270	C₂²×Q₈	C₂⁴	1	64	yes	—
271	C₂²×Q₈	C₂⁴	1	48	yes	—
272	C₂²×D₄	—	2	16	no	—
273	C₂²×D₄	—	2	16	no	—
274	C₂²×D₄	—	2	8	no	—
275	C₂²×D₄	—	4	8	no	—
276	C₂²×D₄	C₂⁴	1	24	yes	—
277	C₂²×D₄	C₂⁴	1	24	yes	—
278	C₂²×D₄	C₂⁴	1	12	yes	—
279	C₂²×D₄	C₂⁴	1	24	yes	—
280	C₂³×C₄	—	2	8	no	—
281	C₂³×C₄	—	2	16	no	—
282	C₂³×C₄	—	2	16	no	—
283	C₂³×C₄	—	2	8	no	—
284	C₂³×C₄	—	2	8	no	—
285	C₂³×C₄	—	2	8	no	—
286	C₂³×C₄	—	2	8	no	—
287	C₂³×C₄	—	2	192	no	—
288	C₂³×C₄	—	2	16	no	—
289	C₂³×C₄	—	4	16	no	—
290	C₂³×C₄	—	4	8	no	—
291	C₂³×C₄	—	4	8	no	—
292	C₂³×C₄	#41	1	16	yes	—
293	C₂³×C₄	C₂⁴	1	24	yes	—
294	C₂³×C₄	C₂⁴	1	24	yes	—
295	C₂³×C₄	C₂⁴	1	12	yes	—
296	C₂³×C₄	C₂⁴	1	12	yes	—
297	C₂³×C₄	C₂⁴	1	24	yes	—
298	C₂³×C₄	C₂⁴	1	12	yes	—
299	C₂³×C₄	C₂⁴	1	12	yes	—
300	C₂³×C₄	C₂⁴	1	64	yes	—
301	C₂³×C₄	C₂⁴	1	12	yes	—
302	C₂³×C₄	C₂⁴	1	2	yes	—
303	C₂³×C₄	C₂⁴	1	4	yes	—
304	C₂³×C₄	C₂⁴	1	2	yes	—
305	C₂³×C₄	C₂⁴	1	2	yes	—
306	C₂³×C₄	C₂⁴	1	4	yes	—
307	C₂³×C₄	C₂⁴	1	2	yes	—
308	C₂³×C₄	C₂⁴	1	2	yes	—
309	C₂³×C₄	C₂⁴	1	1	yes	characteristic
310	C₂³×C₄	C₂⁴	1	2	yes	—
311	C₂³×C₄	C₂⁴	1	1	yes	characteristic
312	C₂³×C₄	C₂⁴	1	2	yes	—
313	C₂³×C₄	C₂⁴	1	24	yes	—
314	C₂³×C₄	C₂⁴	1	24	yes	—
315	C₂³×C₄	C₂⁴	1	48	yes	—
316	C₂³×C₄	C₂⁴	1	12	yes	—
317	C₂³×C₄	C₂⁴	1	1	yes	characteristic
318	C₂³×C₄	C₂⁴	1	1	yes	characteristic
319	C₄⋊Q₈	C₂⁴	1	128	yes	complemented
320	C₄⋊Q₈	C₂⁴	1	128	yes	complemented
321	C₄⋊Q₈	C₂⁴	1	128	yes	complemented
322	#126	C₂⁴	1	256	yes	—
323	#126	C₂⁴	1	256	yes	—
324	#126	C₂⁴	1	256	yes	complemented
325	#126	C₂⁴	1	256	yes	complemented
326	#125	C₂⁴	1	128	yes	complemented
327	#125	C₂⁴	1	256	yes	complemented
328	#125	C₂⁴	1	256	yes	complemented
329	#125	C₂⁴	1	256	yes	complemented
330	#125	C₂⁴	1	128	yes	complemented
331	#124	C₂⁴	1	256	yes	—
332	#124	C₂⁴	1	128	yes	complemented
333	#123	C₂⁴	1	128	yes	—
334	#123	C₂⁴	1	256	yes	—
335	#123	C₂⁴	1	256	yes	—
336	#123	C₂⁴	1	256	yes	—
337	C₂²⋊Q₈	C₂⁴	1	128	yes	—
338	C₂²⋊Q₈	C₂⁴	1	128	yes	—
339	C₂²⋊Q₈	C₂⁴	1	128	yes	—
340	C₂²⋊Q₈	C₂⁴	1	128	yes	—
341	C₂²⋊Q₈	C₂⁴	1	64	yes	—
342	C₂²⋊Q₈	C₂⁴	1	64	yes	—
343	C₂²⋊Q₈	C₂⁴	1	256	yes	—
344	C₂²⋊Q₈	C₂⁴	1	256	yes	—
345	C₂²⋊Q₈	C₂⁴	1	128	yes	complemented
346	C₂²⋊Q₈	C₂⁴	1	128	yes	complemented
347	C₂²⋊Q₈	C₂⁴	1	256	yes	complemented
348	#121	C₂⁴	1	64	yes	—
349	#121	C₂⁴	1	64	yes	—
350	#120	C₂⁴	1	128	yes	—
351	C₄×Q₈	C₂⁴	1	128	yes	complemented
352	C₄×Q₈	C₂⁴	1	128	yes	complemented
353	C₄×Q₈	C₂⁴	1	128	yes	complemented
354	C₄×Q₈	C₂⁴	1	128	yes	complemented
355	C₄×Q₈	C₂⁴	1	128	yes	complemented
356	C₄×Q₈	C₂⁴	1	256	yes	complemented
357	C₄×D₄	C₂⁴	1	256	yes	—
358	C₄×D₄	C₂⁴	1	128	yes	—
359	C₄×D₄	C₂⁴	1	128	yes	—
360	C₄×D₄	C₂⁴	1	256	yes	—
361	C₄×D₄	C₂⁴	1	128	yes	complemented
362	#117	C₂⁴	1	64	yes	—
363	#117	C₂⁴	1	64	yes	—
364	#117	C₂⁴	1	128	yes	—
365	#117	C₂⁴	1	64	yes	—
366	#117	C₂⁴	1	128	yes	—
367	#117	C₂⁴	1	64	yes	—
368	#117	C₂⁴	1	64	yes	—
369	#117	C₂⁴	1	256	yes	—
370	#117	C₂⁴	1	256	yes	—
371	#117	C₂⁴	1	128	yes	complemented
372	#117	C₂⁴	1	256	yes	complemented
373	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
374	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
375	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
376	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
377	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
378	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
379	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
380	C₂×C₄⋊C₄	C₂⁴	1	64	yes	—
381	C₂×C₄⋊C₄	C₂⁴	1	64	yes	—
382	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
383	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
384	C₂×C₄⋊C₄	C₂⁴	1	64	yes	—
385	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
386	C₂×C₄⋊C₄	C₂⁴	1	128	yes	—
387	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
388	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
389	C₂×C₄⋊C₄	C₂⁴	1	12	yes	—
390	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
391	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
392	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
393	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
394	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
395	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
396	C₂×C₄⋊C₄	C₂⁴	1	24	yes	—
397	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
398	C₂×C₄⋊C₄	C₂⁴	1	48	yes	—
399	C₂×C₄⋊C₄	C₂⁴	1	128	yes	complemented
400	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
401	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
402	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
403	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
404	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
405	C₂×C₂²⋊C₄	C₂⁴	1	128	yes	—
406	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
407	C₂×C₂²⋊C₄	C₂⁴	1	128	yes	—
408	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
409	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
410	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
411	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
412	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
413	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
414	C₂×C₂²⋊C₄	C₂⁴	1	24	yes	—
415	C₂×C₂²⋊C₄	C₂⁴	1	48	yes	—
416	C₂×C₄²	C₂⁴	1	24	yes	—
417	C₂×C₄²	C₂⁴	1	24	yes	—
418	C₂×C₄²	C₂⁴	1	48	yes	—
419	C₂×C₄²	C₂⁴	1	24	yes	—
420	C₂×C₄²	C₂⁴	1	24	yes	—
421	C₂×C₄²	C₂⁴	1	48	yes	—
422	C₂×C₄²	C₂⁴	1	48	yes	—
423	C₂×C₄²	C₂⁴	1	24	yes	—
424	C₂×C₄²	C₂⁴	1	128	yes	—
425	C₂⁴	—	2	4	no	—
426	C₂⁴	—	2	4	no	—
427	C₂⁴	—	2	4	no	—
428	C₂⁴	—	2	4	no	—
429	C₂⁴	—	2	48	no	—
430	C₂⁴	—	2	4	no	—
431	C₂⁴	—	2	8	no	—
432	C₂⁴	—	2	8	no	—
433	C₂⁴	—	2	48	no	—
434	C₂⁴	—	2	4	no	—
435	C₂⁴	—	2	8	no	—
436	C₂⁴	—	2	4	no	—
437	C₂⁴	—	4	24	no	—
438	C₂⁴	—	4	64	no	—
439	C₂⁴	C₂×#41	1	8	yes	—
440	C₂⁴	2₋¹⁺⁴	1	8	yes	—
441	C₂⁴	C₂⁵	1	6	yes	—
442	C₂⁴	C₂⁵	1	12	yes	—
443	C₂⁴	C₂⁵	1	16	yes	—
444	C₂⁴	C₂⁵	1	6	yes	—
445	C₂⁴	C₂⁵	1	6	yes	—
446	C₂⁴	C₂⁵	1	1	yes	characteristic
447	#41	—	2	256	no	—
448	C₂×Q₈	—	2	96	no	—
449	C₂×Q₈	—	2	96	no	—
450	C₂×Q₈	—	2	256	no	—
451	C₂×Q₈	—	2	48	no	—
452	C₂×Q₈	—	4	96	no	—
453	C₂×Q₈	C₂⁵	1	32	yes	—
454	C₂×Q₈	C₂⁵	1	32	yes	—
455	C₂×Q₈	C₂⁵	1	16	yes	—
456	C₂×Q₈	C₂⁵	1	64	yes	—
457	C₂×D₄	—	2	96	no	—
458	C₂×D₄	—	2	96	no	—
459	C₂×D₄	—	2	48	no	—
460	C₂×D₄	—	4	48	no	—
461	C₂×D₄	C₂⁵	1	32	yes	—
462	C₂×D₄	C₂⁵	1	32	yes	—
463	C₂×D₄	C₂⁵	1	16	yes	—
464	C₂×D₄	C₂⁵	1	32	yes	—
465	C₂²×C₄	—	2	48	no	—
466	C₂²×C₄	—	2	4	no	—
467	C₂²×C₄	—	2	4	no	—
468	C₂²×C₄	—	2	8	no	—
469	C₂²×C₄	—	2	96	no	—
470	C₂²×C₄	—	2	16	no	—
471	C₂²×C₄	—	2	96	no	—
472	C₂²×C₄	—	2	8	no	—
473	C₂²×C₄	—	2	8	no	—
474	C₂²×C₄	—	2	8	no	—
475	C₂²×C₄	—	2	8	no	—
476	C₂²×C₄	—	2	16	no	—
477	C₂²×C₄	—	2	8	no	—
478	C₂²×C₄	—	2	8	no	—
479	C₂²×C₄	—	2	48	no	—
480	C₂²×C₄	—	2	48	no	—
481	C₂²×C₄	—	2	48	no	—
482	C₂²×C₄	—	2	48	no	—
483	C₂²×C₄	—	2	256	no	—
484	C₂²×C₄	—	2	96	no	—
485	C₂²×C₄	—	4	96	no	—
486	C₂²×C₄	—	4	48	no	—
487	C₂²×C₄	—	4	48	no	—
488	C₂²×C₄	C₂×#41	1	8	yes	—
489	C₂²×C₄	C₂×#41	1	8	yes	—
490	C₂²×C₄	C₂×#41	1	96	yes	—
491	C₂²×C₄	C₂⁵	1	12	yes	—
492	C₂²×C₄	C₂⁵	1	6	yes	—
493	C₂²×C₄	C₂⁵	1	12	yes	—
494	C₂²×C₄	C₂⁵	1	16	yes	—
495	C₂²×C₄	C₂⁵	1	12	yes	—
496	C₂²×C₄	C₂⁵	1	12	yes	—
497	C₂²×C₄	C₂⁵	1	12	yes	—
498	C₂²×C₄	C₂⁵	1	24	yes	—
499	C₂²×C₄	C₂⁵	1	12	yes	—
500	C₂²×C₄	C₂⁵	1	12	yes	—
501	C₂²×C₄	C₂⁵	1	32	yes	—
502	C₂²×C₄	C₂⁵	1	24	yes	—
503	C₂²×C₄	C₂⁵	1	6	yes	—
504	C₂²×C₄	C₂⁵	1	32	yes	—
505	C₂²×C₄	C₂⁵	1	16	yes	—
506	C₂²×C₄	C₂⁵	1	16	yes	—
507	C₂²×C₄	C₂⁵	1	32	yes	—
508	C₂²×C₄	C₂⁵	1	16	yes	—
509	C₂²×C₄	C₂⁵	1	16	yes	—
510	C₂²×C₄	C₂⁵	1	32	yes	—
511	C₂²×C₄	C₂⁵	1	32	yes	—
512	C₂²×C₄	C₂⁵	1	64	yes	—
513	C₂²×C₄	C₂⁵	1	6	yes	—
514	C₂²×C₄	C₂⁵	1	6	yes	—
515	C₂²×C₄	C₂⁵	1	16	yes	—
516	C₄⋊C₄	C₂⁵	1	16	yes	—
517	C₄⋊C₄	C₂⁵	1	32	yes	—
518	C₄⋊C₄	C₂⁵	1	16	yes	—
519	C₄⋊C₄	C₂⁵	1	32	yes	—
520	C₄⋊C₄	C₂⁵	1	16	yes	—
521	C₄⋊C₄	C₂⁵	1	16	yes	—
522	C₄⋊C₄	C₂⁵	1	32	yes	—
523	C₄⋊C₄	C₂⁵	1	64	yes	—
524	C₄⋊C₄	C₂⁵	1	32	yes	—
525	C₄⋊C₄	C₂⁵	1	64	yes	—
526	C₄⋊C₄	C₂⁵	1	64	yes	—
527	C₄⋊C₄	C₂⁵	1	16	yes	—
528	C₄⋊C₄	C₂⁵	1	16	yes	—
529	C₄⋊C₄	C₂⁵	1	64	yes	—
530	C₄⋊C₄	C₂⁵	1	64	yes	—
531	C₄⋊C₄	C₂⁵	1	64	yes	—
532	C₄⋊C₄	C₂⁵	1	64	yes	—
533	C₄⋊C₄	C₂⁵	1	64	yes	—
534	C₄⋊C₄	C₂⁵	1	32	yes	—
535	C₄⋊C₄	C₂⁵	1	32	yes	—
536	C₄⋊C₄	C₂⁵	1	64	yes	—
537	C₄⋊C₄	C₂⁵	1	64	yes	—
538	C₂²⋊C₄	C₂⁵	1	32	yes	—
539	C₂²⋊C₄	C₂⁵	1	32	yes	—
540	C₂²⋊C₄	C₂⁵	1	32	yes	—
541	C₂²⋊C₄	C₂⁵	1	32	yes	—
542	C₂²⋊C₄	C₂⁵	1	64	yes	—
543	C₂²⋊C₄	C₂⁵	1	64	yes	—
544	C₂²⋊C₄	C₂⁵	1	32	yes	—
545	C₂²⋊C₄	C₂⁵	1	32	yes	—
546	C₂²⋊C₄	C₂⁵	1	32	yes	—
547	C₂²⋊C₄	C₂⁵	1	64	yes	—
548	C₂²⋊C₄	C₂⁵	1	64	yes	—
549	C₂²⋊C₄	C₂⁵	1	32	yes	—
550	C₂²⋊C₄	C₂⁵	1	32	yes	—
551	C₂²⋊C₄	C₂⁵	1	64	yes	—
552	C₄²	C₂⁵	1	32	yes	—
553	C₄²	C₂⁵	1	32	yes	—
554	C₄²	C₂⁵	1	32	yes	—
555	C₄²	C₂⁵	1	32	yes	—
556	C₄²	C₂⁵	1	64	yes	—
557	C₄²	C₂⁵	1	64	yes	—
558	C₄²	C₂⁵	1	64	yes	—
559	C₄²	C₂⁵	1	32	yes	—
560	C₂³	—	2	12	no	—
561	C₂³	—	2	12	no	—
562	C₂³	—	2	12	no	—
563	C₂³	—	2	12	no	—
564	C₂³	—	2	32	no	—
565	C₂³	—	2	32	no	—
566	C₂³	—	2	32	no	—
567	C₂³	—	2	12	no	—
568	C₂³	—	2	24	no	—
569	C₂³	—	2	24	no	—
570	C₂³	—	2	32	no	—
571	C₂³	—	2	12	no	—
572	C₂³	—	2	24	no	—
573	C₂³	—	2	12	no	—
574	C₂³	—	4	16	no	—
575	C₂³	—	4	192	no	—
576	C₂³	—	4	32	no	—
577	C₂³	—	4	16	no	—
578	C₂³	C₂²×#41	1	24	yes	—
579	C₂³	C₂²×#41	1	4	yes	—
580	C₂³	C₂×2₋¹⁺⁴	1	24	yes	—
581	C₂³	C₂×2₋¹⁺⁴	1	4	yes	—
582	C₂³	#585	1	4	yes	—
583	C₂³	C₂⁶	1	4	yes	—
584	C₂³	C₂⁶	1	8	yes	—
585	C₂³	C₂⁶	1	4	yes	—
586	C₂³	C₂⁶	1	4	yes	—
587	C₂³	C₂⁶	1	3	yes	—
588	Q₈	—	2	64	no	—
589	Q₈	—	2	64	no	—
590	Q₈	—	2	32	no	—
591	Q₈	—	4	64	no	—
592	D₄	—	2	64	no	—
593	D₄	—	2	64	no	—
594	D₄	—	2	32	no	—
595	D₄	—	4	32	no	—
596	C₂×C₄	—	2	32	no	—
597	C₂×C₄	—	2	12	no	—
598	C₂×C₄	—	2	12	no	—
599	C₂×C₄	—	2	24	no	—
600	C₂×C₄	—	2	64	no	—
601	C₂×C₄	—	2	48	no	—
602	C₂×C₄	—	2	64	no	—
603	C₂×C₄	—	2	24	no	—
604	C₂×C₄	—	2	24	no	—
605	C₂×C₄	—	2	24	no	—
606	C₂×C₄	—	2	24	no	—
607	C₂×C₄	—	2	48	no	—
608	C₂×C₄	—	2	24	no	—
609	C₂×C₄	—	2	24	no	—
610	C₂×C₄	—	2	32	no	—
611	C₂×C₄	—	2	32	no	—
612	C₂×C₄	—	2	32	no	—
613	C₂×C₄	—	2	32	no	—
614	C₂×C₄	—	2	64	no	—
615	C₂×C₄	—	4	64	no	—
616	C₂×C₄	—	4	32	no	—
617	C₂×C₄	—	4	32	no	—
618	C₂×C₄	C₂²×#41	1	24	yes	—
619	C₂×C₄	C₂²×#41	1	24	yes	—
620	C₂×C₄	C₂²×#41	1	64	yes	—
621	C₂×C₄	C₂⁶	1	8	yes	—
622	C₂×C₄	C₂⁶	1	4	yes	—
623	C₂×C₄	C₂⁶	1	8	yes	—
624	C₂×C₄	C₂⁶	1	8	yes	—
625	C₂×C₄	C₂⁶	1	8	yes	—
626	C₂×C₄	C₂⁶	1	8	yes	—
627	C₂×C₄	C₂⁶	1	16	yes	—
628	C₂×C₄	C₂⁶	1	8	yes	—
629	C₂×C₄	C₂⁶	1	8	yes	—
630	C₂×C₄	C₂⁶	1	16	yes	—
631	C₂×C₄	C₂⁶	1	4	yes	—
632	C₂×C₄	C₂⁶	1	4	yes	—
633	C₂×C₄	C₂⁶	1	4	yes	—
634	C₂²	—	2	48	no	—
635	C₂²	—	2	48	no	—
636	C₂²	—	2	4	no	—
637	C₂²	—	2	4	no	—
638	C₂²	—	2	4	no	—
639	C₂²	—	2	4	no	—
640	C₂²	—	2	4	no	—
641	C₂²	—	2	8	no	—
642	C₂²	—	2	8	no	—
643	C₂²	—	2	4	no	—
644	C₂²	—	2	8	no	—
645	C₂²	—	2	4	no	—
646	C₂²	—	4	64	no	—
647	C₂²	—	4	48	no	—
648	C₂²	—	4	24	no	—
649	C₂²	#3495	1	16	yes	direct product factor
650	C₂²	C₂³×#41	1	8	yes	—
651	C₂²	C₂³×#41	1	6	yes	—
652	C₂²	C₂²×2₋¹⁺⁴	1	8	yes	—
653	C₂²	C₂²×2₋¹⁺⁴	1	6	yes	—
654	C₂²	C₂×#585	1	6	yes	—
655	C₂²	C₂⁷	1	1	yes	characteristic
656	C₄	—	2	4	no	—
657	C₄	—	2	4	no	—
658	C₄	—	2	8	no	—
659	C₄	—	2	16	no	—
660	C₄	—	2	8	no	—
661	C₄	—	2	8	no	—
662	C₄	—	2	8	no	—
663	C₄	—	2	8	no	—
664	C₄	—	2	16	no	—
665	C₄	—	2	8	no	—
666	C₄	—	2	8	no	—
667	C₄	C₂³×#41	1	8	yes	—
668	C₄	C₂³×#41	1	8	yes	—
669	C₂	—	2	8	no	—
670	C₂	—	2	8	no	—
671	C₂	—	4	8	no	—
672	C₂	—	4	4	no	—
673	C₂	C₂×#3495	1	12	yes	direct product factor
674	C₂	C₂⁴×#41	1	1	yes	characteristic
675	C₂	C₂³×2₋¹⁺⁴	1	1	yes	characteristic
676	C₂	C₂²×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁷
prime radical	C₂²×#525	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁴ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. C₂×#3495	C₂	direct (N × H)
2. C₂²×#556	C₂	semidirect
3. C₂²×#552	C₂	semidirect
4. C₂²×#552	C₂	semidirect
5. C₂²×#552	C₂	semidirect
6. C₂²×#551	C₂	semidirect
7. C₂²×#554	C₂	semidirect
8. C₂²×#541	C₂	semidirect
9. C₂²×#536	C₂	semidirect
10. C₂²×#542	C₂	semidirect
11. C₂²×#544	C₂	semidirect
12. C₂²×#533	C₂	semidirect
13. C₂²×#529	C₂	semidirect
15. C₂³×C₂²⋊Q₈	C₂	semidirect
16. C₂²×#520	C₂	semidirect
17. C₂²×#519	C₂	semidirect
18. C₂³×#117	C₂	semidirect
22. #3495	C₂²	direct (N × H)
23. C₂×#556	C₂²	semidirect
24. C₂×#554	C₂²	semidirect
25. C₂×#552	C₂²	semidirect
26. C₂×#552	C₂²	semidirect
27. C₂×#552	C₂²	semidirect
28. C₂×#551	C₂²	semidirect
29. C₂×#544	C₂²	semidirect
30. C₂×#542	C₂²	semidirect
31. C₂×#541	C₂²	semidirect
32. C₂×#536	C₂²	semidirect
33. C₂×#533	C₂²	semidirect
34. C₂²×C₄⋊Q₈	C₂²	semidirect
35. C₂²×C₄⋊Q₈	C₂²	semidirect
36. C₂²×C₄⋊Q₈	C₂²	semidirect
37. C₂×#529	C₂²	semidirect
40. C₂²×#126	C₂²	semidirect
41. C₂²×#126	C₂²	semidirect
42. C₂²×#125	C₂²	semidirect
43. C₂²×#125	C₂²	semidirect
44. C₂²×#125	C₂²	semidirect
45. C₂²×#125	C₂²	semidirect
46. C₂²×#125	C₂²	semidirect
48. C₂²×#124	C₂²	semidirect
62. C₂²×C₂²⋊Q₈	C₂²	semidirect
63. C₂²×C₂²⋊Q₈	C₂²	semidirect
64. C₂²×C₂²⋊Q₈	C₂²	semidirect
65. C₂²×C₂²⋊Q₈	C₂²	semidirect
69. C₂×#520	C₂²	semidirect
70. C₂×#519	C₂²	semidirect
71. C₂²×C₄×Q₈	C₂²	semidirect
72. C₂²×C₄×Q₈	C₂²	semidirect
73. C₂²×C₄×Q₈	C₂²	semidirect
74. C₂²×C₄×Q₈	C₂²	semidirect
75. C₂²×C₄×Q₈	C₂²	semidirect
76. C₂²×C₄×Q₈	C₂²	semidirect
81. C₂²×C₄×D₄	C₂²	semidirect
91. C₂²×#117	C₂²	semidirect
92. C₂²×#117	C₂²	semidirect
93. C₂²×#117	C₂²	semidirect
98. C₂³×C₄⋊C₄	C₂²	semidirect
129. #556	C₂³	semidirect
130. #554	C₂³	semidirect
131. #552	C₂³	semidirect
132. #552	C₂³	semidirect
133. #552	C₂³	semidirect
134. #551	C₂³	semidirect
135. #544	C₂³	semidirect
136. #542	C₂³	semidirect
137. #541	C₂³	semidirect
138. #536	C₂³	semidirect
139. #533	C₂³	semidirect
140. C₂×C₄⋊Q₈	C₂³	semidirect
141. C₂×C₄⋊Q₈	C₂³	semidirect
142. C₂×C₄⋊Q₈	C₂³	semidirect
143. #529	C₂³	semidirect
146. C₂×#126	C₂³	semidirect
147. C₂×#126	C₂³	semidirect
148. C₂×#125	C₂³	semidirect
149. C₂×#125	C₂³	semidirect
150. C₂×#125	C₂³	semidirect
151. C₂×#125	C₂³	semidirect
152. C₂×#125	C₂³	semidirect
154. C₂×#124	C₂³	semidirect
168. C₂×C₂²⋊Q₈	C₂³	semidirect
169. C₂×C₂²⋊Q₈	C₂³	semidirect
170. C₂×C₂²⋊Q₈	C₂³	semidirect
171. C₂×C₂²⋊Q₈	C₂³	semidirect
175. #520	C₂³	semidirect
176. #519	C₂³	semidirect
177. C₂×C₄×Q₈	C₂³	semidirect
178. C₂×C₄×Q₈	C₂³	semidirect
179. C₂×C₄×Q₈	C₂³	semidirect
180. C₂×C₄×Q₈	C₂³	semidirect
181. C₂×C₄×Q₈	C₂³	semidirect
182. C₂×C₄×Q₈	C₂³	semidirect
187. C₂×C₄×D₄	C₂³	semidirect
197. C₂×#117	C₂³	semidirect
198. C₂×#117	C₂³	semidirect
199. C₂×#117	C₂³	semidirect
226. C₂²×C₄⋊C₄	C₂³	semidirect
319. C₄⋊Q₈	C₂⁴	semidirect
320. C₄⋊Q₈	C₂⁴	semidirect
321. C₄⋊Q₈	C₂⁴	semidirect
324. #126	C₂⁴	semidirect
325. #126	C₂⁴	semidirect
326. #125	C₂⁴	semidirect
327. #125	C₂⁴	semidirect
328. #125	C₂⁴	semidirect
329. #125	C₂⁴	semidirect
330. #125	C₂⁴	semidirect
332. #124	C₂⁴	semidirect
345. C₂²⋊Q₈	C₂⁴	semidirect
346. C₂²⋊Q₈	C₂⁴	semidirect
347. C₂²⋊Q₈	C₂⁴	semidirect
351. C₄×Q₈	C₂⁴	semidirect
352. C₄×Q₈	C₂⁴	semidirect
353. C₄×Q₈	C₂⁴	semidirect
354. C₄×Q₈	C₂⁴	semidirect
355. C₄×Q₈	C₂⁴	semidirect
356. C₄×Q₈	C₂⁴	semidirect
361. C₄×D₄	C₂⁴	semidirect
371. #117	C₂⁴	semidirect
372. #117	C₂⁴	semidirect
399. C₂×C₄⋊C₄	C₂⁴	semidirect
649. C₂²	#3495	direct (N × H)
673. C₂	C₂×#3495	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#3495	2
C₂²×#556	2
C₂²×#552	2
C₂²×#551	2
C₂²×#554	2
C₂²×#541	2
C₂²×#536	2
C₂²×#542	2
C₂²×#544	2
C₂²×#533	2
C₂²×#529	2
C₂²×#525	2
C₂³×C₂²⋊Q₈	2
C₂²×#520	2
C₂²×#519	2
C₂³×#117	2

Subgroups — C22×#3495 #10585981

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#3495 #10585981