Subgroups — C₂×#3542 #62719

Order 256.

4061 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3542	C₂	1	32	yes	maximal, direct product factor
2	C₂×#562	C₂	1	2	yes	maximal, complemented
3	C₂×#560	C₂	1	2	yes	maximal, complemented
4	C₂×#555	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#553	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#552	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#551	C₂	1	2	yes	maximal, complemented
8	C₂×#550	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#547	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#546	C₂	1	2	yes	maximal, complemented
11	C₂×#546	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#546	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×D₄²	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#542	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#540	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#540	C₂	1	2	yes	maximal, complemented
17	C₂×#538	C₂	1	2	yes	maximal, complemented
18	C₂×#537	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#535	C₂	1	2	yes	maximal, complemented
20	C₂×#535	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#534	C₂	1	2	yes	maximal, complemented
22	C₂×#525	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#525	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#121	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#41	C₂²	1	2	yes	complemented
28	C₂²×#41	C₂²	1	1	yes	characteristic, complemented
29	C₂³×D₄	C₂²	1	1	yes	characteristic
30	C₂³×D₄	C₂²	1	2	yes	—
31	C₂³×D₄	C₂²	1	2	yes	complemented
32	C₂³×D₄	C₂²	1	1	yes	characteristic, complemented
33	C₂⁴×C₄	C₂²	1	1	yes	characteristic, complemented
34	#562	C₂²	1	32	yes	complemented
35	#560	C₂²	1	32	yes	complemented
36	#555	C₂²	1	16	yes	complemented
37	#553	C₂²	1	16	yes	complemented
38	#552	C₂²	1	16	yes	complemented
39	#551	C₂²	1	32	yes	complemented
40	#550	C₂²	1	16	yes	complemented
41	#547	C₂²	1	16	yes	complemented
42	#546	C₂²	1	32	yes	complemented
43	#546	C₂²	1	16	yes	complemented
44	#546	C₂²	1	16	yes	complemented
45	D₄²	C₂²	1	16	yes	complemented
46	#542	C₂²	1	16	yes	complemented
47	#540	C₂²	1	16	yes	complemented
48	#540	C₂²	1	32	yes	complemented
49	#538	C₂²	1	32	yes	complemented
50	#537	C₂²	1	16	yes	complemented
51	#535	C₂²	1	32	yes	complemented
52	#535	C₂²	1	16	yes	complemented
53	#534	C₂²	1	32	yes	complemented
54	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×#127	C₂²	1	2	yes	complemented
56	C₂×#127	C₂²	1	2	yes	complemented
57	C₂×#127	C₂²	1	1	yes	characteristic, complemented
58	C₂×#126	C₂²	1	2	yes	complemented
59	C₂×#126	C₂²	1	2	yes	complemented
60	C₂×#126	C₂²	1	2	yes	complemented
61	C₂×#125	C₂²	1	1	yes	characteristic, complemented
62	C₂×#125	C₂²	1	2	yes	complemented
63	C₂×#124	C₂²	1	2	yes	complemented
64	C₂×#124	C₂²	1	2	yes	complemented
65	C₂×#124	C₂²	1	2	yes	complemented
66	C₂×#124	C₂²	1	2	yes	complemented
67	C₂×#124	C₂²	1	1	yes	characteristic, complemented
68	#525	C₂²	1	16	yes	complemented
69	#525	C₂²	1	16	yes	complemented
70	C₂×#123	C₂²	1	2	yes	—
71	C₂×#123	C₂²	1	1	yes	characteristic, complemented
72	C₂×#123	C₂²	1	1	yes	characteristic, complemented
73	C₂×#123	C₂²	1	2	yes	complemented
74	C₂×#123	C₂²	1	2	yes	complemented
75	C₂×#123	C₂²	1	2	yes	complemented
76	C₂×#123	C₂²	1	2	yes	complemented
77	C₂×#123	C₂²	1	2	yes	complemented
78	C₂×#123	C₂²	1	2	yes	complemented
79	C₂×#123	C₂²	1	2	yes	complemented
80	C₂×#123	C₂²	1	2	yes	complemented
81	C₂×#123	C₂²	1	2	yes	complemented
82	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
84	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
88	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
89	C₂×C₂²⋊Q₈	C₂²	1	2	yes	complemented
90	C₂×#121	C₂²	1	1	yes	characteristic
91	C₂×#121	C₂²	1	1	yes	characteristic
92	C₂×#121	C₂²	1	1	yes	characteristic
93	C₂×#121	C₂²	1	1	yes	characteristic
94	C₂×#121	C₂²	1	1	yes	characteristic, complemented
95	C₂×#121	C₂²	1	2	yes	complemented
96	C₂×#121	C₂²	1	1	yes	characteristic, complemented
97	C₂×#121	C₂²	1	2	yes	complemented
98	C₂×#121	C₂²	1	1	yes	characteristic, complemented
99	C₂×#121	C₂²	1	1	yes	characteristic, complemented
100	C₂×#121	C₂²	1	2	yes	complemented
101	C₂×#121	C₂²	1	2	yes	complemented
102	C₂×#121	C₂²	1	2	yes	complemented
103	C₂×#121	C₂²	1	2	yes	complemented
104	C₂×#121	C₂²	1	2	yes	complemented
105	C₂×#121	C₂²	1	2	yes	complemented
106	C₂×#121	C₂²	1	1	yes	characteristic, complemented
107	C₂×#121	C₂²	1	2	yes	complemented
108	C₂×#121	C₂²	1	1	yes	characteristic, complemented
109	C₂×#121	C₂²	1	2	yes	complemented
110	C₂×#121	C₂²	1	1	yes	characteristic, complemented
111	C₂×#121	C₂²	1	2	yes	complemented
112	C₂×#121	C₂²	1	2	yes	complemented
113	C₂×#121	C₂²	1	2	yes	complemented
114	C₂×#121	C₂²	1	2	yes	complemented
115	C₂×#121	C₂²	1	16	yes	complemented
116	C₂×#120	C₂²	1	1	yes	characteristic
117	C₂×#120	C₂²	1	2	yes	—
118	C₂×#120	C₂²	1	2	yes	complemented
119	C₂×#120	C₂²	1	1	yes	characteristic, complemented
120	C₂×#120	C₂²	1	2	yes	complemented
121	C₂×#120	C₂²	1	2	yes	complemented
122	C₂×#120	C₂²	1	2	yes	complemented
123	C₂×#120	C₂²	1	2	yes	complemented
124	C₂×#120	C₂²	1	2	yes	complemented
125	C₂×C₄×Q₈	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄×D₄	C₂²	1	1	yes	characteristic
127	C₂×C₄×D₄	C₂²	1	2	yes	complemented
128	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
129	C₂×C₄×D₄	C₂²	1	2	yes	complemented
130	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₄×D₄	C₂²	1	2	yes	complemented
133	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₄×D₄	C₂²	1	2	yes	complemented
135	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₄×D₄	C₂²	1	1	yes	characteristic, complemented
137	C₂×#117	C₂²	1	1	yes	characteristic, complemented
138	C₂×#117	C₂²	1	1	yes	characteristic, complemented
139	C₂×#117	C₂²	1	2	yes	complemented
140	C₂×#117	C₂²	1	1	yes	characteristic, complemented
141	C₂×#117	C₂²	1	2	yes	complemented
142	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
143	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
144	C₂²×C₂²⋊C₄	C₂²	1	2	yes	complemented
145	C₂²×C₂²⋊C₄	C₂²	1	2	yes	complemented
146	C₂²×C₂²⋊C₄	C₂²	1	2	yes	complemented
147	C₂⁵	C₂³	1	2	yes	—
148	C₂⁵	C₂³	1	1	yes	characteristic
149	C₂⁵	C₂³	1	2	yes	—
150	C₂×#41	—	4	4	no	—
151	C₂×#41	—	4	8	no	—
152	C₂×#41	—	4	4	no	—
153	C₂×#41	—	4	4	no	—
154	C₂×#41	C₂³	1	8	yes	complemented
155	C₂×#41	C₂³	1	8	yes	complemented
156	C₂×#41	C₂³	1	16	yes	complemented
157	C₂×#41	C₂³	1	8	yes	complemented
158	C₂²×Q₈	C₂³	1	1	yes	characteristic
159	C₂²×Q₈	C₂³	1	1	yes	characteristic
160	C₂²×Q₈	C₂³	1	2	yes	—
161	C₂²×D₄	—	4	4	no	—
162	C₂²×D₄	—	4	4	no	—
163	C₂²×D₄	—	4	8	no	—
164	C₂²×D₄	—	4	8	no	—
165	C₂²×D₄	C₂³	1	1	yes	characteristic
166	C₂²×D₄	C₂³	1	2	yes	—
167	C₂²×D₄	C₂³	1	1	yes	characteristic
168	C₂²×D₄	C₂³	1	1	yes	characteristic
169	C₂²×D₄	C₂³	1	1	yes	characteristic
170	C₂²×D₄	C₂³	1	1	yes	characteristic
171	C₂²×D₄	C₂³	1	1	yes	characteristic
172	C₂²×D₄	C₂³	1	2	yes	—
173	C₂²×D₄	C₂³	1	2	yes	—
174	C₂²×D₄	C₂³	1	2	yes	—
175	C₂²×D₄	C₂³	1	1	yes	characteristic
176	C₂²×D₄	C₂³	1	1	yes	characteristic
177	C₂²×D₄	C₂³	1	2	yes	—
178	C₂²×D₄	C₂³	1	1	yes	characteristic
179	C₂²×D₄	C₂³	1	2	yes	—
180	C₂²×D₄	C₂³	1	2	yes	—
181	C₂²×D₄	C₂³	1	2	yes	—
182	C₂²×D₄	C₂³	1	2	yes	—
183	C₂²×D₄	C₂³	1	2	yes	—
184	C₂²×D₄	C₂³	1	2	yes	—
185	C₂²×D₄	C₂³	1	1	yes	characteristic
186	C₂²×D₄	C₂³	1	2	yes	—
187	C₂²×D₄	C₂³	1	2	yes	—
188	C₂²×D₄	C₂³	1	2	yes	—
189	C₂²×D₄	C₂³	1	2	yes	—
190	C₂²×D₄	C₂³	1	8	yes	—
191	C₂²×D₄	C₂³	1	16	yes	—
192	C₂²×D₄	C₂³	1	16	yes	complemented
193	C₂²×D₄	C₂³	1	8	yes	complemented
194	C₂³×C₄	—	4	4	no	—
195	C₂³×C₄	C₂³	1	2	yes	—
196	C₂³×C₄	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	2	yes	—
203	C₂³×C₄	C₂³	1	2	yes	—
204	C₂³×C₄	C₂³	1	2	yes	—
205	C₂³×C₄	C₂³	1	2	yes	—
206	C₂³×C₄	C₂³	1	2	yes	—
207	C₂³×C₄	C₂³	1	1	yes	characteristic
208	C₂³×C₄	C₂³	1	2	yes	—
209	C₂³×C₄	C₂³	1	1	yes	characteristic
210	C₂³×C₄	C₂³	1	8	yes	complemented
211	C₄⋊Q₈	C₂³	1	8	yes	complemented
212	#127	C₂³	1	16	yes	complemented
213	#127	C₂³	1	16	yes	complemented
214	#127	C₂³	1	8	yes	complemented
215	#126	C₂³	1	16	yes	complemented
216	#126	C₂³	1	16	yes	complemented
217	#126	C₂³	1	16	yes	complemented
218	#125	C₂³	1	8	yes	complemented
219	#125	C₂³	1	16	yes	complemented
220	#124	C₂³	1	16	yes	complemented
221	#124	C₂³	1	16	yes	complemented
222	#124	C₂³	1	16	yes	complemented
223	#124	C₂³	1	16	yes	complemented
224	#124	C₂³	1	8	yes	complemented
225	#123	C₂³	1	16	yes	—
226	#123	C₂³	1	8	yes	complemented
227	#123	C₂³	1	8	yes	complemented
228	#123	C₂³	1	16	yes	complemented
229	#123	C₂³	1	16	yes	complemented
230	#123	C₂³	1	16	yes	complemented
231	#123	C₂³	1	16	yes	complemented
232	#123	C₂³	1	16	yes	complemented
233	#123	C₂³	1	16	yes	complemented
234	#123	C₂³	1	16	yes	complemented
235	#123	C₂³	1	16	yes	complemented
236	#123	C₂³	1	16	yes	complemented
237	C₂²⋊Q₈	C₂³	1	8	yes	complemented
238	C₂²⋊Q₈	C₂³	1	8	yes	complemented
239	C₂²⋊Q₈	C₂³	1	8	yes	complemented
240	C₂²⋊Q₈	C₂³	1	8	yes	complemented
241	C₂²⋊Q₈	C₂³	1	8	yes	complemented
242	C₂²⋊Q₈	C₂³	1	16	yes	complemented
243	C₂²⋊Q₈	C₂³	1	16	yes	complemented
244	C₂²⋊Q₈	C₂³	1	16	yes	complemented
245	#121	C₂³	1	8	yes	—
246	#121	C₂³	1	8	yes	—
247	#121	C₂³	1	8	yes	—
248	#121	C₂³	1	8	yes	—
249	#121	C₂³	1	8	yes	complemented
250	#121	C₂³	1	16	yes	complemented
251	#121	C₂³	1	8	yes	complemented
252	#121	C₂³	1	16	yes	complemented
253	#121	C₂³	1	8	yes	complemented
254	#121	C₂³	1	8	yes	complemented
255	#121	C₂³	1	16	yes	complemented
256	#121	C₂³	1	16	yes	complemented
257	#121	C₂³	1	16	yes	complemented
258	#121	C₂³	1	16	yes	complemented
259	#121	C₂³	1	16	yes	complemented
260	#121	C₂³	1	16	yes	complemented
261	#121	C₂³	1	8	yes	complemented
262	#121	C₂³	1	16	yes	complemented
263	#121	C₂³	1	8	yes	complemented
264	#121	C₂³	1	16	yes	complemented
265	#121	C₂³	1	8	yes	complemented
266	#121	C₂³	1	16	yes	complemented
267	#121	C₂³	1	16	yes	complemented
268	#121	C₂³	1	16	yes	complemented
269	#121	C₂³	1	16	yes	complemented
270	#120	C₂³	1	8	yes	—
271	#120	C₂³	1	16	yes	—
272	#120	C₂³	1	16	yes	complemented
273	#120	C₂³	1	8	yes	complemented
274	#120	C₂³	1	16	yes	complemented
275	#120	C₂³	1	16	yes	complemented
276	#120	C₂³	1	16	yes	complemented
277	#120	C₂³	1	16	yes	complemented
278	#120	C₂³	1	16	yes	complemented
279	C₄×Q₈	C₂³	1	8	yes	complemented
280	C₄×D₄	C₂³	1	8	yes	—
281	C₄×D₄	C₂³	1	16	yes	complemented
282	C₄×D₄	C₂³	1	8	yes	complemented
283	C₄×D₄	C₂³	1	16	yes	complemented
284	C₄×D₄	C₂³	1	8	yes	complemented
285	C₄×D₄	C₂³	1	8	yes	complemented
286	C₄×D₄	C₂³	1	16	yes	complemented
287	C₄×D₄	C₂³	1	8	yes	complemented
288	C₄×D₄	C₂³	1	16	yes	complemented
289	C₄×D₄	C₂³	1	8	yes	complemented
290	C₄×D₄	C₂³	1	8	yes	complemented
291	#117	C₂³	1	8	yes	complemented
292	#117	C₂³	1	8	yes	complemented
293	#117	C₂³	1	16	yes	complemented
294	#117	C₂³	1	8	yes	complemented
295	#117	C₂³	1	16	yes	complemented
296	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊C₄	C₂³	1	2	yes	—
300	C₂×C₄⋊C₄	C₂³	1	2	yes	—
301	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊C₄	C₂³	1	2	yes	—
305	C₂×C₄⋊C₄	C₂³	1	2	yes	—
306	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊C₄	C₂³	1	2	yes	—
308	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊C₄	C₂³	1	2	yes	—
311	C₂×C₄⋊C₄	C₂³	1	2	yes	—
312	C₂×C₄⋊C₄	C₂³	1	2	yes	—
313	C₂×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₄⋊C₄	C₂³	1	2	yes	—
315	C₂×C₄⋊C₄	C₂³	1	8	yes	complemented
316	C₂×C₄⋊C₄	C₂³	1	8	yes	complemented
317	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
319	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
321	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
322	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
323	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
324	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
325	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
326	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
327	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
328	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
329	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
330	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
332	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
337	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
339	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
340	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
341	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄	C₂³	1	16	yes	complemented
347	C₂×C₂²⋊C₄	C₂³	1	16	yes	complemented
348	C₂×C₂²⋊C₄	C₂³	1	16	yes	complemented
349	C₂×C₄²	C₂³	1	2	yes	—
350	C₂×C₄²	C₂³	1	2	yes	—
351	C₂×C₄²	C₂³	1	1	yes	characteristic
352	C₂×C₄²	C₂³	1	1	yes	characteristic
353	C₂×C₄²	C₂³	1	2	yes	—
354	C₂⁴	—	2	4	no	—
355	C₂⁴	—	2	8	no	—
356	C₂⁴	—	4	2	no	—
357	C₂⁴	—	4	2	no	—
358	C₂⁴	—	4	4	no	—
359	C₂⁴	—	4	4	no	—
360	C₂⁴	—	4	4	no	—
361	C₂⁴	—	4	4	no	—
362	C₂⁴	—	4	4	no	—
363	C₂⁴	C₂⁴	1	1	yes	characteristic
364	C₂⁴	C₂⁴	1	2	yes	—
365	C₂⁴	C₂⁴	1	1	yes	characteristic
366	C₂⁴	C₂⁴	1	1	yes	characteristic
367	C₂⁴	C₂⁴	1	2	yes	—
368	C₂⁴	C₂⁴	1	2	yes	—
369	C₂⁴	C₂⁴	1	1	yes	characteristic
370	C₂⁴	C₂⁴	1	1	yes	characteristic
371	C₂⁴	C₂⁴	1	8	yes	—
372	C₂⁴	C₂⁴	1	4	yes	—
373	C₂⁴	C₂⁴	1	8	yes	—
374	#41	—	4	16	no	—
375	#41	—	4	32	no	—
376	#41	—	4	16	no	—
377	#41	—	4	16	no	—
378	C₂×Q₈	—	2	4	no	—
379	C₂×Q₈	—	4	2	no	—
380	C₂×Q₈	—	4	4	no	—
381	C₂×Q₈	C₂⁴	1	4	yes	—
382	C₂×Q₈	C₂⁴	1	4	yes	—
383	C₂×Q₈	C₂⁴	1	8	yes	—
384	C₂×D₄	—	2	4	no	—
385	C₂×D₄	—	2	8	no	—
386	C₂×D₄	—	2	4	no	—
387	C₂×D₄	—	2	4	no	—
388	C₂×D₄	—	2	4	no	—
389	C₂×D₄	—	2	4	no	—
390	C₂×D₄	—	4	16	no	—
391	C₂×D₄	—	4	16	no	—
392	C₂×D₄	—	4	4	no	—
393	C₂×D₄	—	4	4	no	—
394	C₂×D₄	—	4	4	no	—
395	C₂×D₄	—	4	4	no	—
396	C₂×D₄	—	4	4	no	—
397	C₂×D₄	—	4	4	no	—
398	C₂×D₄	—	4	4	no	—
399	C₂×D₄	—	4	4	no	—
400	C₂×D₄	—	4	32	no	—
401	C₂×D₄	—	4	2	no	—
402	C₂×D₄	—	4	4	no	—
403	C₂×D₄	—	4	4	no	—
404	C₂×D₄	—	4	4	no	—
405	C₂×D₄	—	4	2	no	—
406	C₂×D₄	—	4	2	no	—
407	C₂×D₄	—	4	2	no	—
408	C₂×D₄	—	4	2	no	—
409	C₂×D₄	—	4	4	no	—
410	C₂×D₄	—	4	4	no	—
411	C₂×D₄	—	4	4	no	—
412	C₂×D₄	—	4	32	no	—
413	C₂×D₄	C₂⁴	1	4	yes	—
414	C₂×D₄	C₂⁴	1	8	yes	—
415	C₂×D₄	C₂⁴	1	4	yes	—
416	C₂×D₄	C₂⁴	1	4	yes	—
417	C₂×D₄	C₂⁴	1	4	yes	—
418	C₂×D₄	C₂⁴	1	4	yes	—
419	C₂×D₄	C₂⁴	1	4	yes	—
420	C₂×D₄	C₂⁴	1	8	yes	—
421	C₂×D₄	C₂⁴	1	8	yes	—
422	C₂×D₄	C₂⁴	1	8	yes	—
423	C₂×D₄	C₂⁴	1	4	yes	—
424	C₂×D₄	C₂⁴	1	4	yes	—
425	C₂×D₄	C₂⁴	1	8	yes	—
426	C₂×D₄	C₂⁴	1	4	yes	—
427	C₂×D₄	C₂⁴	1	8	yes	—
428	C₂×D₄	C₂⁴	1	8	yes	—
429	C₂×D₄	C₂⁴	1	8	yes	—
430	C₂×D₄	C₂⁴	1	8	yes	—
431	C₂×D₄	C₂⁴	1	8	yes	—
432	C₂×D₄	C₂⁴	1	8	yes	—
433	C₂×D₄	C₂⁴	1	4	yes	—
434	C₂×D₄	C₂⁴	1	8	yes	—
435	C₂×D₄	C₂⁴	1	8	yes	—
436	C₂×D₄	C₂⁴	1	8	yes	—
437	C₂×D₄	C₂⁴	1	8	yes	—
438	C₂²×C₄	—	2	8	no	—
439	C₂²×C₄	—	2	4	no	—
440	C₂²×C₄	—	2	4	no	—
441	C₂²×C₄	—	2	4	no	—
442	C₂²×C₄	—	2	4	no	—
443	C₂²×C₄	—	2	4	no	—
444	C₂²×C₄	—	4	16	no	—
445	C₂²×C₄	—	4	2	no	—
446	C₂²×C₄	—	4	2	no	—
447	C₂²×C₄	—	4	2	no	—
448	C₂²×C₄	—	4	4	no	—
449	C₂²×C₄	—	4	4	no	—
450	C₂²×C₄	—	4	4	no	—
451	C₂²×C₄	—	4	4	no	—
452	C₂²×C₄	—	4	4	no	—
453	C₂²×C₄	—	4	4	no	—
454	C₂²×C₄	C₂⁴	1	8	yes	—
455	C₂²×C₄	C₂⁴	1	4	yes	—
456	C₂²×C₄	C₂⁴	1	4	yes	—
457	C₂²×C₄	C₂⁴	1	4	yes	—
458	C₂²×C₄	C₂⁴	1	4	yes	—
459	C₂²×C₄	C₂⁴	1	4	yes	—
460	C₂²×C₄	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄	C₂⁴	1	2	yes	—
462	C₂²×C₄	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄	C₂⁴	1	2	yes	—
465	C₂²×C₄	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄	C₂⁴	1	2	yes	—
468	C₂²×C₄	C₂⁴	1	2	yes	—
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	2	yes	—
473	C₂²×C₄	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄	C₂⁴	1	4	yes	—
475	C₂²×C₄	C₂⁴	1	8	yes	—
476	C₂²×C₄	C₂⁴	1	8	yes	—
477	C₂²×C₄	C₂⁴	1	8	yes	—
478	C₂²×C₄	C₂⁴	1	8	yes	—
479	C₂²×C₄	C₂⁴	1	8	yes	—
480	C₂²×C₄	C₂⁴	1	4	yes	—
481	C₂²×C₄	C₂⁴	1	8	yes	—
482	C₂²×C₄	C₂⁴	1	4	yes	—
483	C₂²×C₄	C₂⁴	1	1	yes	characteristic
484	C₄⋊C₄	C₂⁴	1	4	yes	—
485	C₄⋊C₄	C₂⁴	1	4	yes	—
486	C₄⋊C₄	C₂⁴	1	4	yes	—
487	C₄⋊C₄	C₂⁴	1	8	yes	—
488	C₄⋊C₄	C₂⁴	1	8	yes	—
489	C₄⋊C₄	C₂⁴	1	4	yes	—
490	C₄⋊C₄	C₂⁴	1	4	yes	—
491	C₄⋊C₄	C₂⁴	1	4	yes	—
492	C₄⋊C₄	C₂⁴	1	8	yes	—
493	C₄⋊C₄	C₂⁴	1	8	yes	—
494	C₄⋊C₄	C₂⁴	1	4	yes	—
495	C₄⋊C₄	C₂⁴	1	8	yes	—
496	C₄⋊C₄	C₂⁴	1	4	yes	—
497	C₄⋊C₄	C₂⁴	1	4	yes	—
498	C₄⋊C₄	C₂⁴	1	8	yes	—
499	C₄⋊C₄	C₂⁴	1	8	yes	—
500	C₄⋊C₄	C₂⁴	1	8	yes	—
501	C₄⋊C₄	C₂⁴	1	4	yes	—
502	C₄⋊C₄	C₂⁴	1	8	yes	—
503	C₂²⋊C₄	C₂⁴	1	4	yes	—
504	C₂²⋊C₄	C₂⁴	1	8	yes	—
505	C₂²⋊C₄	C₂⁴	1	4	yes	—
506	C₂²⋊C₄	C₂⁴	1	8	yes	—
507	C₂²⋊C₄	C₂⁴	1	8	yes	—
508	C₂²⋊C₄	C₂⁴	1	8	yes	—
509	C₂²⋊C₄	C₂⁴	1	8	yes	—
510	C₂²⋊C₄	C₂⁴	1	8	yes	—
511	C₂²⋊C₄	C₂⁴	1	8	yes	—
512	C₂²⋊C₄	C₂⁴	1	8	yes	—
513	C₂²⋊C₄	C₂⁴	1	8	yes	—
514	C₂²⋊C₄	C₂⁴	1	4	yes	—
515	C₂²⋊C₄	C₂⁴	1	8	yes	—
516	C₂²⋊C₄	C₂⁴	1	4	yes	—
517	C₂²⋊C₄	C₂⁴	1	8	yes	—
518	C₂²⋊C₄	C₂⁴	1	8	yes	—
519	C₂²⋊C₄	C₂⁴	1	4	yes	—
520	C₂²⋊C₄	C₂⁴	1	4	yes	—
521	C₂²⋊C₄	C₂⁴	1	4	yes	—
522	C₂²⋊C₄	C₂⁴	1	8	yes	—
523	C₂²⋊C₄	C₂⁴	1	4	yes	—
524	C₂²⋊C₄	C₂⁴	1	8	yes	—
525	C₂²⋊C₄	C₂⁴	1	8	yes	—
526	C₂²⋊C₄	C₂⁴	1	8	yes	—
527	C₂²⋊C₄	C₂⁴	1	4	yes	—
528	C₂²⋊C₄	C₂⁴	1	8	yes	—
529	C₂²⋊C₄	C₂⁴	1	8	yes	—
530	C₂²⋊C₄	C₂⁴	1	8	yes	—
531	C₂²⋊C₄	C₂⁴	1	4	yes	—
532	C₄²	C₂⁴	1	8	yes	—
533	C₄²	C₂⁴	1	8	yes	—
534	C₄²	C₂⁴	1	4	yes	—
535	C₄²	C₂⁴	1	4	yes	—
536	C₄²	C₂⁴	1	8	yes	—
537	C₂³	—	2	2	no	—
538	C₂³	—	2	2	no	—
539	C₂³	—	2	2	no	—
540	C₂³	—	2	2	no	—
541	C₂³	—	2	2	no	—
542	C₂³	—	2	2	no	—
543	C₂³	—	2	2	no	—
544	C₂³	—	2	4	no	—
545	C₂³	—	2	4	no	—
546	C₂³	—	2	4	no	—
547	C₂³	—	2	4	no	—
548	C₂³	—	2	2	no	—
549	C₂³	—	2	4	no	—
550	C₂³	—	2	8	no	—
551	C₂³	—	2	2	no	—
552	C₂³	—	2	2	no	—
553	C₂³	—	2	4	no	—
554	C₂³	—	2	4	no	—
555	C₂³	—	2	2	no	—
556	C₂³	—	2	2	no	—
557	C₂³	—	2	2	no	—
558	C₂³	—	2	4	no	—
559	C₂³	—	2	2	no	—
560	C₂³	—	2	4	no	—
561	C₂³	—	2	16	no	—
562	C₂³	—	4	4	no	—
563	C₂³	—	4	4	no	—
564	C₂³	—	4	8	no	—
565	C₂³	—	4	8	no	—
566	C₂³	—	4	8	no	—
567	C₂³	—	4	8	no	—
568	C₂³	—	4	8	no	—
569	C₂³	—	4	16	no	—
570	C₂³	—	8	16	no	—
571	C₂³	—	8	16	no	—
572	C₂³	H(5,𝔽₂)	1	4	yes	—
573	C₂³	C₂⁵	1	2	yes	—
574	C₂³	C₂⁵	1	4	yes	—
575	C₂³	C₂⁵	1	2	yes	—
576	C₂³	C₂⁵	1	2	yes	—
577	C₂³	C₂⁵	1	4	yes	—
578	C₂³	C₂⁵	1	4	yes	—
579	C₂³	C₂⁵	1	2	yes	—
580	C₂³	C₂⁵	1	2	yes	—
581	C₂³	C₂⁵	1	1	yes	characteristic
582	Q₈	—	2	8	no	—
583	Q₈	—	4	4	no	—
584	Q₈	—	4	8	no	—
585	D₄	—	2	8	no	—
586	D₄	—	2	16	no	—
587	D₄	—	2	8	no	—
588	D₄	—	2	8	no	—
589	D₄	—	2	8	no	—
590	D₄	—	2	8	no	—
591	D₄	—	4	8	no	—
592	D₄	—	4	8	no	—
593	D₄	—	4	8	no	—
594	D₄	—	4	8	no	—
595	D₄	—	4	8	no	—
596	D₄	—	4	8	no	—
597	D₄	—	4	8	no	—
598	D₄	—	4	8	no	—
599	D₄	—	4	4	no	—
600	D₄	—	4	8	no	—
601	D₄	—	4	8	no	—
602	D₄	—	4	8	no	—
603	D₄	—	4	4	no	—
604	D₄	—	4	4	no	—
605	D₄	—	4	4	no	—
606	D₄	—	4	4	no	—
607	D₄	—	4	8	no	—
608	D₄	—	4	8	no	—
609	D₄	—	4	8	no	—
610	C₂×C₄	—	2	2	no	—
611	C₂×C₄	—	2	4	no	—
612	C₂×C₄	—	2	2	no	—
613	C₂×C₄	—	2	2	no	—
614	C₂×C₄	—	2	2	no	—
615	C₂×C₄	—	2	4	no	—
616	C₂×C₄	—	2	2	no	—
617	C₂×C₄	—	2	16	no	—
618	C₂×C₄	—	2	2	no	—
619	C₂×C₄	—	2	4	no	—
620	C₂×C₄	—	2	2	no	—
621	C₂×C₄	—	2	4	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	4	no	—
624	C₂×C₄	—	2	2	no	—
625	C₂×C₄	—	2	8	no	—
626	C₂×C₄	—	2	8	no	—
627	C₂×C₄	—	2	8	no	—
628	C₂×C₄	—	2	8	no	—
629	C₂×C₄	—	2	8	no	—
630	C₂×C₄	—	4	4	no	—
631	C₂×C₄	—	4	4	no	—
632	C₂×C₄	—	4	4	no	—
633	C₂×C₄	—	4	8	no	—
634	C₂×C₄	—	4	8	no	—
635	C₂×C₄	—	4	8	no	—
636	C₂×C₄	—	4	8	no	—
637	C₂×C₄	—	4	8	no	—
638	C₂×C₄	—	4	8	no	—
639	C₂×C₄	H(5,𝔽₂)	1	4	yes	—
640	C₂×C₄	C₂⁵	1	2	yes	—
641	C₂×C₄	C₂⁵	1	4	yes	—
642	C₂×C₄	C₂⁵	1	2	yes	—
643	C₂×C₄	C₂⁵	1	2	yes	—
644	C₂×C₄	C₂⁵	1	4	yes	—
645	C₂×C₄	C₂⁵	1	2	yes	—
646	C₂×C₄	C₂⁵	1	2	yes	—
647	C₂×C₄	C₂⁵	1	4	yes	—
648	C₂×C₄	C₂⁵	1	4	yes	—
649	C₂×C₄	C₂⁵	1	2	yes	—
650	C₂×C₄	C₂⁵	1	2	yes	—
651	C₂×C₄	C₂⁵	1	2	yes	—
652	C₂×C₄	C₂⁵	1	4	yes	—
653	C₂×C₄	C₂⁵	1	2	yes	—
654	C₂×C₄	C₂⁵	1	2	yes	—
655	C₂²	—	2	2	no	—
656	C₂²	—	2	2	no	—
657	C₂²	—	2	8	no	—
658	C₂²	—	2	2	no	—
659	C₂²	—	2	2	no	—
660	C₂²	—	2	2	no	—
661	C₂²	—	2	2	no	—
662	C₂²	—	2	2	no	—
663	C₂²	—	2	4	no	—
664	C₂²	—	2	4	no	—
665	C₂²	—	2	4	no	—
666	C₂²	—	2	4	no	—
667	C₂²	—	2	2	no	—
668	C₂²	—	2	4	no	—
669	C₂²	—	2	2	no	—
670	C₂²	—	2	2	no	—
671	C₂²	—	2	4	no	—
672	C₂²	—	2	4	no	—
673	C₂²	—	2	2	no	—
674	C₂²	—	2	2	no	—
675	C₂²	—	2	2	no	—
676	C₂²	—	2	4	no	—
677	C₂²	—	2	2	no	—
678	C₂²	—	2	4	no	—
679	C₂²	—	4	16	no	—
680	C₂²	—	4	4	no	—
681	C₂²	—	4	4	no	—
682	C₂²	—	4	4	no	—
683	C₂²	—	4	8	no	—
684	C₂²	—	4	8	no	—
685	C₂²	—	4	4	no	—
686	C₂²	—	4	8	no	—
687	C₂²	—	8	16	no	—
688	C₂²	—	8	16	no	—
689	C₂²	C₂×H(5,𝔽₂)	1	4	yes	—
690	C₂²	C₂×H(5,𝔽₂)	1	2	yes	—
691	C₂²	C₂×H(5,𝔽₂)	1	2	yes	—
692	C₂²	#585	1	2	yes	—
693	C₂²	C₂⁶	1	1	yes	characteristic
694	C₄	—	2	2	no	—
695	C₄	—	2	4	no	—
696	C₄	—	2	2	no	—
697	C₄	—	2	2	no	—
698	C₄	—	2	2	no	—
699	C₄	—	2	4	no	—
700	C₄	—	2	2	no	—
701	C₄	—	2	2	no	—
702	C₄	—	2	4	no	—
703	C₄	—	2	2	no	—
704	C₄	—	2	4	no	—
705	C₄	—	2	2	no	—
706	C₄	—	2	4	no	—
707	C₄	—	2	2	no	—
708	C₄	C₂×H(5,𝔽₂)	1	4	yes	—
709	C₂	—	2	4	no	—
710	C₂	—	4	2	no	—
711	C₂	—	4	2	no	—
712	C₂	—	4	2	no	—
713	C₂	—	4	4	no	—
714	C₂	—	4	4	no	—
715	C₂	—	4	2	no	—
716	C₂	—	4	4	no	—
717	C₂	#3542	1	4	yes	direct product factor
718	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
719	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
720	C₂	C₂×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #3542	C₂	direct (N × H)
2. C₂×#562	C₂	semidirect
3. C₂×#560	C₂	semidirect
4. C₂×#555	C₂	semidirect
5. C₂×#553	C₂	semidirect
6. C₂×#552	C₂	semidirect
7. C₂×#551	C₂	semidirect
8. C₂×#550	C₂	semidirect
9. C₂×#547	C₂	semidirect
10. C₂×#546	C₂	semidirect
11. C₂×#546	C₂	semidirect
12. C₂×#546	C₂	semidirect
13. C₂×D₄²	C₂	semidirect
14. C₂×#542	C₂	semidirect
15. C₂×#540	C₂	semidirect
16. C₂×#540	C₂	semidirect
17. C₂×#538	C₂	semidirect
18. C₂×#537	C₂	semidirect
19. C₂×#535	C₂	semidirect
20. C₂×#535	C₂	semidirect
21. C₂×#534	C₂	semidirect
22. C₂×#525	C₂	semidirect
23. C₂×#525	C₂	semidirect
24. C₂²×#121	C₂	semidirect
25. C₂²×#41	C₂²	semidirect
26. C₂²×#41	C₂²	semidirect
27. C₂²×#41	C₂²	semidirect
28. C₂²×#41	C₂²	semidirect
31. C₂³×D₄	C₂²	semidirect
32. C₂³×D₄	C₂²	semidirect
33. C₂⁴×C₄	C₂²	semidirect
34. #562	C₂²	semidirect
35. #560	C₂²	semidirect
36. #555	C₂²	semidirect
37. #553	C₂²	semidirect
38. #552	C₂²	semidirect
39. #551	C₂²	semidirect
40. #550	C₂²	semidirect
41. #547	C₂²	semidirect
42. #546	C₂²	semidirect
43. #546	C₂²	semidirect
44. #546	C₂²	semidirect
45. D₄²	C₂²	semidirect
46. #542	C₂²	semidirect
47. #540	C₂²	semidirect
48. #540	C₂²	semidirect
49. #538	C₂²	semidirect
50. #537	C₂²	semidirect
51. #535	C₂²	semidirect
52. #535	C₂²	semidirect
53. #534	C₂²	semidirect
54. C₂×C₄⋊Q₈	C₂²	semidirect
55. C₂×#127	C₂²	semidirect
56. C₂×#127	C₂²	semidirect
57. C₂×#127	C₂²	semidirect
58. C₂×#126	C₂²	semidirect
59. C₂×#126	C₂²	semidirect
60. C₂×#126	C₂²	semidirect
61. C₂×#125	C₂²	semidirect
62. C₂×#125	C₂²	semidirect
63. C₂×#124	C₂²	semidirect
64. C₂×#124	C₂²	semidirect
65. C₂×#124	C₂²	semidirect
66. C₂×#124	C₂²	semidirect
67. C₂×#124	C₂²	semidirect
68. #525	C₂²	semidirect
69. #525	C₂²	semidirect
71. C₂×#123	C₂²	semidirect
72. C₂×#123	C₂²	semidirect
73. C₂×#123	C₂²	semidirect
74. C₂×#123	C₂²	semidirect
75. C₂×#123	C₂²	semidirect
76. C₂×#123	C₂²	semidirect
77. C₂×#123	C₂²	semidirect
78. C₂×#123	C₂²	semidirect
79. C₂×#123	C₂²	semidirect
80. C₂×#123	C₂²	semidirect
81. C₂×#123	C₂²	semidirect
82. C₂×C₂²⋊Q₈	C₂²	semidirect
83. C₂×C₂²⋊Q₈	C₂²	semidirect
84. C₂×C₂²⋊Q₈	C₂²	semidirect
85. C₂×C₂²⋊Q₈	C₂²	semidirect
86. C₂×C₂²⋊Q₈	C₂²	semidirect
87. C₂×C₂²⋊Q₈	C₂²	semidirect
88. C₂×C₂²⋊Q₈	C₂²	semidirect
89. C₂×C₂²⋊Q₈	C₂²	semidirect
94. C₂×#121	C₂²	semidirect
95. C₂×#121	C₂²	semidirect
96. C₂×#121	C₂²	semidirect
97. C₂×#121	C₂²	semidirect
98. C₂×#121	C₂²	semidirect
99. C₂×#121	C₂²	semidirect
100. C₂×#121	C₂²	semidirect
101. C₂×#121	C₂²	semidirect
102. C₂×#121	C₂²	semidirect
103. C₂×#121	C₂²	semidirect
104. C₂×#121	C₂²	semidirect
105. C₂×#121	C₂²	semidirect
106. C₂×#121	C₂²	semidirect
107. C₂×#121	C₂²	semidirect
108. C₂×#121	C₂²	semidirect
109. C₂×#121	C₂²	semidirect
110. C₂×#121	C₂²	semidirect
111. C₂×#121	C₂²	semidirect
112. C₂×#121	C₂²	semidirect
113. C₂×#121	C₂²	semidirect
114. C₂×#121	C₂²	semidirect
115. C₂×#121	C₂²	semidirect
118. C₂×#120	C₂²	semidirect
119. C₂×#120	C₂²	semidirect
120. C₂×#120	C₂²	semidirect
121. C₂×#120	C₂²	semidirect
122. C₂×#120	C₂²	semidirect
123. C₂×#120	C₂²	semidirect
124. C₂×#120	C₂²	semidirect
125. C₂×C₄×Q₈	C₂²	semidirect
127. C₂×C₄×D₄	C₂²	semidirect
128. C₂×C₄×D₄	C₂²	semidirect
129. C₂×C₄×D₄	C₂²	semidirect
130. C₂×C₄×D₄	C₂²	semidirect
131. C₂×C₄×D₄	C₂²	semidirect
132. C₂×C₄×D₄	C₂²	semidirect
133. C₂×C₄×D₄	C₂²	semidirect
134. C₂×C₄×D₄	C₂²	semidirect
135. C₂×C₄×D₄	C₂²	semidirect
136. C₂×C₄×D₄	C₂²	semidirect
137. C₂×#117	C₂²	semidirect
138. C₂×#117	C₂²	semidirect
139. C₂×#117	C₂²	semidirect
140. C₂×#117	C₂²	semidirect
141. C₂×#117	C₂²	semidirect
142. C₂²×C₄⋊C₄	C₂²	semidirect
143. C₂²×C₄⋊C₄	C₂²	semidirect
144. C₂²×C₂²⋊C₄	C₂²	semidirect
145. C₂²×C₂²⋊C₄	C₂²	semidirect
146. C₂²×C₂²⋊C₄	C₂²	semidirect
154. C₂×#41	C₂³	semidirect
155. C₂×#41	C₂³	semidirect
156. C₂×#41	C₂³	semidirect
157. C₂×#41	C₂³	semidirect
192. C₂²×D₄	C₂³	semidirect
193. C₂²×D₄	C₂³	semidirect
210. C₂³×C₄	C₂³	semidirect
211. C₄⋊Q₈	C₂³	semidirect
212. #127	C₂³	semidirect
213. #127	C₂³	semidirect
214. #127	C₂³	semidirect
215. #126	C₂³	semidirect
216. #126	C₂³	semidirect
217. #126	C₂³	semidirect
218. #125	C₂³	semidirect
219. #125	C₂³	semidirect
220. #124	C₂³	semidirect
221. #124	C₂³	semidirect
222. #124	C₂³	semidirect
223. #124	C₂³	semidirect
224. #124	C₂³	semidirect
226. #123	C₂³	semidirect
227. #123	C₂³	semidirect
228. #123	C₂³	semidirect
229. #123	C₂³	semidirect
230. #123	C₂³	semidirect
231. #123	C₂³	semidirect
232. #123	C₂³	semidirect
233. #123	C₂³	semidirect
234. #123	C₂³	semidirect
235. #123	C₂³	semidirect
236. #123	C₂³	semidirect
237. C₂²⋊Q₈	C₂³	semidirect
238. C₂²⋊Q₈	C₂³	semidirect
239. C₂²⋊Q₈	C₂³	semidirect
240. C₂²⋊Q₈	C₂³	semidirect
241. C₂²⋊Q₈	C₂³	semidirect
242. C₂²⋊Q₈	C₂³	semidirect
243. C₂²⋊Q₈	C₂³	semidirect
244. C₂²⋊Q₈	C₂³	semidirect
249. #121	C₂³	semidirect
250. #121	C₂³	semidirect
251. #121	C₂³	semidirect
252. #121	C₂³	semidirect
253. #121	C₂³	semidirect
254. #121	C₂³	semidirect
255. #121	C₂³	semidirect
256. #121	C₂³	semidirect
257. #121	C₂³	semidirect
258. #121	C₂³	semidirect
259. #121	C₂³	semidirect
260. #121	C₂³	semidirect
261. #121	C₂³	semidirect
262. #121	C₂³	semidirect
263. #121	C₂³	semidirect
264. #121	C₂³	semidirect
265. #121	C₂³	semidirect
266. #121	C₂³	semidirect
267. #121	C₂³	semidirect
268. #121	C₂³	semidirect
269. #121	C₂³	semidirect
272. #120	C₂³	semidirect
273. #120	C₂³	semidirect
274. #120	C₂³	semidirect
275. #120	C₂³	semidirect
276. #120	C₂³	semidirect
277. #120	C₂³	semidirect
278. #120	C₂³	semidirect
279. C₄×Q₈	C₂³	semidirect
281. C₄×D₄	C₂³	semidirect
282. C₄×D₄	C₂³	semidirect
283. C₄×D₄	C₂³	semidirect
284. C₄×D₄	C₂³	semidirect
285. C₄×D₄	C₂³	semidirect
286. C₄×D₄	C₂³	semidirect
287. C₄×D₄	C₂³	semidirect
288. C₄×D₄	C₂³	semidirect
289. C₄×D₄	C₂³	semidirect
290. C₄×D₄	C₂³	semidirect
291. #117	C₂³	semidirect
292. #117	C₂³	semidirect
293. #117	C₂³	semidirect
294. #117	C₂³	semidirect
295. #117	C₂³	semidirect
315. C₂×C₄⋊C₄	C₂³	semidirect
316. C₂×C₄⋊C₄	C₂³	semidirect
346. C₂×C₂²⋊C₄	C₂³	semidirect
347. C₂×C₂²⋊C₄	C₂³	semidirect
348. C₂×C₂²⋊C₄	C₂³	semidirect
717. C₂	#3542	direct (N × H)

Maximal subgroups

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

subgroup	index
#3542	2
C₂×#562	2
C₂×#560	2
C₂×#555	2
C₂×#553	2
C₂×#552	2
C₂×#551	2
C₂×#550	2
C₂×#547	2
C₂×#546	2
C₂×D₄²	2
C₂×#542	2
C₂×#540	2
C₂×#538	2
C₂×#537	2
C₂×#535	2
C₂×#534	2
C₂×#525	2
C₂²×#121	2

Subgroups — C2×#3542 #62719

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#3542 #62719