Subgroups — C₂×#13070456 #14907005

Order 2816.

654 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10622514	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#10622757	C₂	1	1	yes	maximal, characteristic
3	#13070456	C₂	1	8	yes	maximal, direct product factor
4	C₂×#10622149	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#10622153	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#10622199	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#10622140	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₁×#504	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₁×#131	C₂²	1	1	yes	characteristic
10	C₂×#67003	C₄	1	1	yes	characteristic
11	C₂×#66954	C₂²	1	1	yes	characteristic
12	C₁₁×#504	—	2	2	no	—
13	C₁₁×#504	C₂²	1	4	yes	complemented
14	C₂×C₁₁×M₃₂	—	2	1	no	—
15	C₂×C₁₁×M₃₂	C₂²	1	1	yes	characteristic
16	C₂²×C₁₁×C₁₆	—	2	1	no	—
17	C₂²×C₁₁×C₁₆	C₂²	1	1	yes	characteristic
18	C₂×#66901	C₄	1	1	yes	characteristic
19	#10622757	C₄	1	4	yes	—
20	#10622757	C₂²	1	4	yes	—
21	C₂×#66889	C₄	1	1	yes	characteristic
22	C₂×#66886	C₄	1	1	yes	characteristic
23	C₂×C₈×Dic₁₁	C₂²	1	1	yes	characteristic
24	C₂×#66876	C₂²	1	1	yes	characteristic
25	C₂²×C₁₁⋊C₁₆	C₂²	1	1	yes	characteristic
26	#10622514	—	2	2	no	—
27	#10622514	C₂²	1	4	yes	complemented
28	C₂×#66862	—	2	1	no	—
29	C₂×C₁₆×D₁₁	—	2	1	no	—
30	#10622199	C₂²	1	4	yes	complemented
31	#10622153	C₂²	1	4	yes	complemented
32	#10622149	C₂²	1	4	yes	complemented
33	#10622140	C₂²	1	4	yes	complemented
34	C₂×C₁₁×#41	C₂×C₄	1	1	yes	characteristic
35	C₂×#4339	C₂×C₄	1	1	yes	characteristic
36	C₁₁×#131	—	2	1	no	—
37	C₁₁×#131	—	2	1	no	—
38	C₁₁×#131	C₂×C₄	1	2	yes	—
39	C₁₁×#131	C₂³	1	2	yes	—
40	C₂×C₁₁×M₁₆	—	2	1	no	—
41	C₂×C₁₁×M₁₆	C₂×C₄	1	1	yes	characteristic
42	C₂²×C₈×C₁₁	—	2	1	no	—
43	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
44	#67003	C₈	1	4	yes	—
45	#67003	C₂×C₄	1	4	yes	—
46	C₂×#4326	C₈	1	1	yes	characteristic
47	C₂×#4325	C₈	1	1	yes	characteristic
48	C₂×#4324	C₈	1	1	yes	characteristic
49	C₂×#4323	C₈	1	1	yes	characteristic
50	C₂×C₄×Dic₁₁	C₂×C₄	1	1	yes	characteristic
51	C₂×#4318	C₂×C₄	1	1	yes	characteristic
52	C₂²×C₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
53	#66954	—	2	1	no	—
54	#66954	—	2	1	no	—
55	#66954	C₂×C₄	1	2	yes	—
56	#66954	C₂³	1	2	yes	—
57	C₂×#4313	—	2	1	no	—
58	C₂×C₈×D₁₁	—	2	1	no	—
59	C₁₁×M₃₂	—	2	1	no	—
60	C₁₁×M₃₂	—	2	4	no	—
61	C₁₁×M₃₂	C₂³	1	2	yes	—
62	C₂×C₁₁×C₁₆	—	2	1	no	—
63	C₂×C₁₁×C₁₆	—	2	4	no	—
64	C₂×C₁₁×C₁₆	D₄	1	1	yes	characteristic
65	C₂×C₁₁×C₁₆	D₄	1	1	yes	characteristic
66	C₂×C₁₁×C₁₆	D₄	1	2	yes	—
67	C₂×C₁₁×C₁₆	C₂³	1	2	yes	—
68	#66901	C₂×C₄	1	4	yes	—
69	#66889	C₂×C₄	1	4	yes	—
70	#66886	C₂×C₄	1	4	yes	—
71	C₈×Dic₁₁	C₂×C₄	1	2	yes	—
72	C₈×Dic₁₁	C₂³	1	2	yes	—
73	#66876	—	2	1	no	—
74	#66876	C₂³	1	2	yes	—
75	C₂×C₁₁⋊C₁₆	—	2	1	no	—
76	C₂×C₁₁⋊C₁₆	—	2	1	no	—
77	C₂×C₁₁⋊C₁₆	—	2	1	no	—
78	C₂×C₁₁⋊C₁₆	C₂³	1	2	yes	—
79	#66862	—	2	4	no	—
80	C₁₆×D₁₁	—	2	4	no	—
81	C₂×#2171	—	11	1	no	maximal, Sylow
82	C₁₁×#41	—	2	1	no	—
83	C₁₁×#41	—	2	1	no	—
84	C₁₁×#41	C₂×C₈	1	2	yes	—
85	C₁₁×#41	C₂²×C₄	1	2	yes	—
86	C₂×Q₈×C₁₁	C₂×C₈	1	1	yes	characteristic
87	C₂×D₄×C₁₁	—	2	1	no	—
88	C₂×D₄×C₁₁	C₂×C₈	1	1	yes	characteristic
89	C₂²×C₄×C₁₁	—	2	1	no	—
90	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
91	C₂×C₂²⋊D₁₁	—	2	1	no	—
92	C₂²×Dic₁₁	—	2	1	no	—
93	#4339	—	2	1	no	—
94	#4339	—	2	1	no	—
95	#4339	C₂×C₈	1	2	yes	—
96	#4339	C₂²×C₄	1	2	yes	—
97	C₂×D₄₄	C₂×C₈	1	1	yes	characteristic
98	C₂×C₄×D₁₁	—	2	1	no	—
99	C₂×Dic₂₂	C₂×C₈	1	1	yes	characteristic
100	C₁₁×M₁₆	—	2	2	no	—
101	C₁₁×M₁₆	—	2	2	no	—
102	C₁₁×M₁₆	—	2	1	no	—
103	C₁₁×M₁₆	C₂²×C₄	1	2	yes	—
104	C₂×C₈×C₁₁	—	2	2	no	—
105	C₂×C₈×C₁₁	—	2	2	no	—
106	C₂×C₈×C₁₁	—	2	1	no	—
107	C₂×C₈×C₁₁	C₂²×C₄	1	1	yes	characteristic
108	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
109	C₂×C₈×C₁₁	C₂×D₄	1	1	yes	characteristic
110	C₂×C₈×C₁₁	#41	1	1	yes	characteristic
111	C₂×C₈×C₁₁	#41	1	1	yes	characteristic
112	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
113	#4326	C₂×C₈	1	4	yes	—
114	#4325	C₂×C₈	1	4	yes	—
115	#4324	C₂×C₈	1	4	yes	—
116	#4323	C₂×C₈	1	4	yes	—
117	C₄×Dic₁₁	—	2	1	no	—
118	C₄×Dic₁₁	C₂²×C₄	1	2	yes	—
119	#4318	—	2	1	no	—
120	#4318	C₂²×C₄	1	2	yes	—
121	C₂×C₁₁⋊C₈	—	2	1	no	—
122	C₂×C₁₁⋊C₈	C₂×C₈	1	1	yes	characteristic
123	C₂×C₁₁⋊C₈	C₂×C₈	1	1	yes	characteristic
124	C₂×C₁₁⋊C₈	C₂×C₈	1	2	yes	—
125	C₂×C₁₁⋊C₈	C₂²×C₄	1	2	yes	—
126	#4313	—	2	2	no	—
127	#4313	—	2	2	no	—
128	C₈×D₁₁	—	2	2	no	—
129	C₈×D₁₁	—	2	2	no	—
130	C₁₁×C₁₆	—	2	2	no	—
131	C₁₁×C₁₆	C₂×D₄	1	2	yes	—
132	C₁₁×C₁₆	C₂×D₄	1	2	yes	—
133	C₁₁⋊C₁₆	—	2	2	no	—
134	C₁₁⋊C₁₆	—	2	2	no	—
135	C₂×#504	—	11	1	no	—
136	C₂×#504	D₁₁	1	1	yes	characteristic, complemented
137	C₂×#443	—	11	1	no	—
138	#2171	—	11	8	no	—
139	C₂×#364	—	11	1	no	—
140	C₂×#350	—	11	1	no	—
141	C₂×#350	—	11	1	no	—
142	C₂×#346	—	11	1	no	—
143	C₂³×C₁₁	—	2	1	no	—
144	C₂³×C₁₁	#131	1	1	yes	characteristic
145	C₂²×D₁₁	—	2	1	no	—
146	Q₈×C₁₁	—	2	1	no	—
147	Q₈×C₁₁	C₂²×C₈	1	2	yes	—
148	D₄×C₁₁	—	2	2	no	—
149	D₄×C₁₁	—	2	2	no	—
150	D₄×C₁₁	—	2	1	no	—
151	D₄×C₁₁	C₂²×C₈	1	2	yes	—
152	C₂×C₄×C₁₁	—	2	1	no	—
153	C₂×C₄×C₁₁	—	2	2	no	—
154	C₂×C₄×C₁₁	—	2	2	no	—
155	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
156	C₂×C₄×C₁₁	C₄×D₄	1	1	yes	characteristic
157	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
158	C₂×C₄×C₁₁	C₂²×C₈	1	1	yes	characteristic
159	C₂×C₄×C₁₁	#131	1	1	yes	characteristic
160	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
161	C₂²⋊D₁₁	—	2	2	no	—
162	C₂²⋊D₁₁	—	2	2	no	—
163	C₂×Dic₁₁	—	2	1	no	—
164	C₂×Dic₁₁	—	2	2	no	—
165	C₂×Dic₁₁	—	4	2	no	—
166	D₄₄	—	2	1	no	—
167	D₄₄	C₂²×C₈	1	2	yes	—
168	C₄×D₁₁	—	2	2	no	—
169	C₄×D₁₁	—	2	2	no	—
170	Dic₂₂	—	2	1	no	—
171	Dic₂₂	C₂²×C₈	1	2	yes	—
172	C₈×C₁₁	—	2	2	no	—
173	C₈×C₁₁	C₄×D₄	1	1	yes	characteristic
174	C₈×C₁₁	C₄×D₄	1	1	yes	characteristic
175	C₈×C₁₁	C₂²×D₄	1	1	yes	characteristic
176	C₈×C₁₁	C₂×#41	1	1	yes	characteristic
177	C₁₁⋊C₈	—	2	2	no	—
178	C₁₁⋊C₈	C₂²×C₈	1	2	yes	—
179	C₁₁⋊C₈	C₂²×C₈	1	2	yes	—
180	C₂×#135	—	11	1	no	—
181	C₂×#131	—	11	1	no	—
182	C₂×#131	C₂×D₁₁	1	1	yes	characteristic
183	#504	—	2	2	no	—
184	#504	—	11	4	no	—
185	#504	—	22	2	no	—
186	#504	C₂×D₁₁	1	4	yes	complemented
187	C₂×M₃₂	—	2	1	no	—
188	C₂×M₃₂	—	11	1	no	—
189	C₂×M₃₂	—	22	1	no	—
190	C₂×M₃₂	C₂×D₁₁	1	1	yes	characteristic
191	C₂²×C₁₆	—	2	1	no	—
192	C₂²×C₁₆	—	11	1	no	—
193	C₂²×C₁₆	—	22	1	no	—
194	C₂²×C₁₆	C₂×D₁₁	1	1	yes	characteristic
195	#443	—	11	4	no	—
196	#443	—	11	4	no	—
197	C₂×#108	—	11	1	no	—
198	C₂×#104	—	11	1	no	—
199	C₂×#104	—	11	1	no	—
200	C₂×C₄×C₈	—	11	1	no	—
201	#364	—	11	4	no	—
202	#350	—	11	4	no	—
203	#350	—	11	4	no	—
204	#346	—	11	4	no	—
205	C₂²×C₁₁	—	2	2	no	—
206	C₂²×C₁₁	—	2	2	no	—
207	C₂²×C₁₁	—	4	2	no	—
208	C₂²×C₁₁	C₈×D₄	1	1	yes	characteristic
209	C₂²×C₁₁	C₈×D₄	1	1	yes	characteristic
210	C₂²×C₁₁	C₂×#131	1	1	yes	characteristic
211	C₂×D₁₁	—	2	2	no	—
212	C₂×D₁₁	—	4	2	no	—
213	C₄×C₁₁	—	2	2	no	—
214	C₄×C₁₁	C₈×D₄	1	1	yes	characteristic
215	C₄×C₁₁	C₈×D₄	1	1	yes	characteristic
216	C₄×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
217	C₄×C₁₁	C₂³×C₈	1	1	yes	characteristic
218	Dic₁₁	—	2	2	no	—
219	Dic₁₁	—	4	2	no	—
220	C₂×#41	—	11	1	no	—
221	C₂×#41	C₄×D₁₁	1	1	yes	characteristic
222	#135	—	11	4	no	—
223	#135	—	11	4	no	—
224	C₂×Q₁₆	—	11	1	no	—
225	C₂×SD₁₆	—	11	1	no	—
226	C₂×SD₁₆	—	11	1	no	—
227	C₂×D₈	—	11	1	no	—
228	#131	—	2	1	no	—
229	#131	—	2	1	no	—
230	#131	—	11	2	no	—
231	#131	—	11	2	no	—
232	#131	—	22	1	no	—
233	#131	—	22	1	no	—
234	#131	C₄×D₁₁	1	2	yes	—
235	#131	C₂²×D₁₁	1	2	yes	—
236	C₂×M₁₆	—	2	1	no	—
237	C₂×M₁₆	—	11	1	no	—
238	C₂×M₁₆	—	22	1	no	—
239	C₂×M₁₆	C₄×D₁₁	1	1	yes	characteristic
240	C₂²×C₈	—	2	1	no	—
241	C₂²×C₈	—	11	1	no	—
242	C₂²×C₈	—	22	1	no	—
243	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
244	C₂×C₄²	—	11	1	no	—
245	M₃₂	—	2	1	no	—
246	M₃₂	—	2	4	no	—
247	M₃₂	—	11	2	no	—
248	M₃₂	—	22	1	no	—
249	M₃₂	—	22	4	no	—
250	M₃₂	C₂²×D₁₁	1	2	yes	—
251	C₂×C₁₆	—	2	1	no	—
252	C₂×C₁₆	—	2	4	no	—
253	C₂×C₁₆	—	11	2	no	—
254	C₂×C₁₆	—	22	1	no	—
255	C₂×C₁₆	—	22	1	no	—
256	C₂×C₁₆	—	22	1	no	—
257	C₂×C₁₆	—	22	4	no	—
258	C₂×C₁₆	C₂²⋊D₁₁	1	2	yes	—
259	C₂×C₁₆	C₂²⋊D₁₁	1	1	yes	characteristic
260	C₂×C₁₆	C₂²⋊D₁₁	1	1	yes	characteristic
261	C₂×C₁₆	C₂²×D₁₁	1	2	yes	—
262	#108	—	11	4	no	—
263	#104	—	11	4	no	—
264	#104	—	11	4	no	—
265	C₄×C₈	—	11	2	no	—
266	C₄×C₈	—	11	2	no	—
267	C₂×C₁₁	—	2	1	no	—
268	C₂×C₁₁	—	2	1	no	—
269	C₂×C₁₁	—	4	2	no	—
270	C₂×C₁₁	#2171	1	2	yes	complemented
271	C₂×C₁₁	C₂×C₈×D₄	1	1	yes	characteristic
272	D₁₁	—	4	2	no	—
273	#41	—	2	1	no	—
274	#41	—	2	1	no	—
275	#41	—	11	2	no	—
276	#41	—	11	2	no	—
277	#41	—	22	1	no	—
278	#41	—	22	1	no	—
279	#41	C₈×D₁₁	1	2	yes	—
280	#41	C₂×C₄×D₁₁	1	2	yes	—
281	C₂×Q₈	—	11	1	no	—
282	C₂×Q₈	C₈×D₁₁	1	1	yes	characteristic
283	C₂×D₄	—	2	1	no	—
284	C₂×D₄	—	11	1	no	—
285	C₂×D₄	—	22	1	no	—
286	C₂×D₄	C₈×D₁₁	1	1	yes	characteristic
287	C₂²×C₄	—	2	1	no	—
288	C₂²×C₄	—	22	1	no	—
289	C₂²×C₄	—	22	1	no	—
290	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
291	Q₁₆	—	11	4	no	—
292	SD₁₆	—	11	4	no	—
293	SD₁₆	—	11	4	no	—
294	D₈	—	11	4	no	—
295	M₁₆	—	2	1	no	—
296	M₁₆	—	2	2	no	—
297	M₁₆	—	2	2	no	—
298	M₁₆	—	11	2	no	—
299	M₁₆	—	22	1	no	—
300	M₁₆	—	22	2	no	—
301	M₁₆	—	22	2	no	—
302	M₁₆	C₂×C₄×D₁₁	1	2	yes	—
303	C₂×C₈	—	2	1	no	—
304	C₂×C₈	—	2	2	no	—
305	C₂×C₈	—	2	2	no	—
306	C₂×C₈	—	11	1	no	—
307	C₂×C₈	—	11	1	no	—
308	C₂×C₈	—	11	2	no	—
309	C₂×C₈	—	11	2	no	—
310	C₂×C₈	—	22	1	no	—
311	C₂×C₈	—	22	2	no	—
312	C₂×C₈	—	22	2	no	—
313	C₂×C₈	C₂×C₄×D₁₁	1	1	yes	characteristic
314	C₂×C₈	#4339	1	1	yes	characteristic
315	C₂×C₈	#4339	1	1	yes	characteristic
316	C₂×C₈	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
317	C₂×C₈	C₂×C₂²⋊D₁₁	1	1	yes	characteristic
318	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
319	C₄²	—	11	2	no	—
320	C₄²	—	22	1	no	—
321	C₁₆	—	2	2	no	—
322	C₁₆	—	22	2	no	—
323	C₁₆	—	22	2	no	—
324	C₁₆	C₂×C₂²⋊D₁₁	1	2	yes	—
325	C₁₆	C₂×C₂²⋊D₁₁	1	2	yes	—
326	C₁₁	C₂×#2171	1	1	yes	characteristic, complemented, Sylow
327	C₂³	—	2	1	no	—
328	C₂³	—	22	1	no	—
329	C₂³	#66954	1	1	yes	characteristic
330	Q₈	—	2	1	no	—
331	Q₈	—	11	2	no	—
332	Q₈	—	22	1	no	—
333	Q₈	C₂×C₈×D₁₁	1	2	yes	—
334	D₄	—	2	2	no	—
335	D₄	—	2	2	no	—
336	D₄	—	2	1	no	—
337	D₄	—	11	2	no	—
338	D₄	—	22	2	no	—
339	D₄	—	22	2	no	—
340	D₄	—	22	1	no	—
341	D₄	C₂×C₈×D₁₁	1	2	yes	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	2	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	22	1	no	—
346	C₂×C₄	—	22	2	no	—
347	C₂×C₄	—	22	2	no	—
348	C₂×C₄	—	22	2	no	—
349	C₂×C₄	—	44	2	no	—
350	C₂×C₄	C₂×C₈×D₁₁	1	1	yes	characteristic
351	C₂×C₄	C₂×C₈×D₁₁	1	1	yes	characteristic
352	C₂×C₄	#66954	1	1	yes	characteristic
353	C₂×C₄	C₄×C₂²⋊D₁₁	1	1	yes	characteristic
354	C₂×C₄	C₄×C₂²⋊D₁₁	1	1	yes	characteristic
355	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
356	C₈	—	2	2	no	—
357	C₈	—	11	2	no	—
358	C₈	—	11	2	no	—
359	C₈	—	22	2	no	—
360	C₈	C₄×C₂²⋊D₁₁	1	1	yes	characteristic
361	C₈	C₄×C₂²⋊D₁₁	1	1	yes	characteristic
362	C₈	C₂×#4339	1	1	yes	characteristic
363	C₈	C₂²×C₂²⋊D₁₁	1	1	yes	characteristic
364	C₂²	—	2	2	no	—
365	C₂²	—	2	2	no	—
366	C₂²	—	4	2	no	—
367	C₂²	—	22	2	no	—
368	C₂²	—	44	2	no	—
369	C₂²	C₈×C₂²⋊D₁₁	1	1	yes	characteristic
370	C₂²	C₈×C₂²⋊D₁₁	1	1	yes	characteristic
371	C₂²	C₂×#66954	1	1	yes	characteristic
372	C₄	—	2	2	no	—
373	C₄	—	22	2	no	—
374	C₄	—	44	2	no	—
375	C₄	C₈×C₂²⋊D₁₁	1	1	yes	characteristic
376	C₄	C₈×C₂²⋊D₁₁	1	1	yes	characteristic
377	C₄	C₂²×C₈×D₁₁	1	1	yes	characteristic
378	C₄	C₂×C₄×C₂²⋊D₁₁	1	1	yes	characteristic
379	C₂	—	2	1	no	—
380	C₂	—	2	1	no	—
381	C₂	—	4	2	no	—
382	C₂	—	44	2	no	—
383	C₂	#13070456	1	2	yes	direct product factor
384	C₂	C₂×C₈×C₂²⋊D₁₁	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈	C₂×C₂²⋊D₁₁
commutator	C₄×C₁₁	C₂³×C₈
Frattini	C₂×C₈	C₂³×D₁₁
Fitting	C₂×C₁₁×#504	C₂
socle	C₂²×C₁₁	C₈×D₄
prime radical	C₂×#67003	C₄
cosocle	C₂×C₈×C₁₁	C₂⁴
hypercenter	C₂×#504	D₁₁
hypocenter	C₁₁	C₂×#2171
LCS	G ▷ C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂×C₈ ◁ C₂²×C₁₆ ◁ C₂×#504

Complements

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

N	H ≅ G/N	type
1. C₂×#10622514	C₂	semidirect
3. #13070456	C₂	direct (N × H)
4. C₂×#10622149	C₂	semidirect
5. C₂×#10622153	C₂	semidirect
6. C₂×#10622199	C₂	semidirect
7. C₂×#10622140	C₂	semidirect
8. C₂×C₁₁×#504	C₂	semidirect
13. C₁₁×#504	C₂²	semidirect
27. #10622514	C₂²	semidirect
30. #10622199	C₂²	semidirect
31. #10622153	C₂²	semidirect
32. #10622149	C₂²	semidirect
33. #10622140	C₂²	semidirect
136. C₂×#504	D₁₁	semidirect
186. #504	C₂×D₁₁	semidirect
270. C₂×C₁₁	#2171	semidirect
326. C₁₁	C₂×#2171	semidirect
383. C₂	#13070456	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×#10622514	2
C₂×#10622757	2
#13070456	2
C₂×#10622149	2
C₂×#10622153	2
C₂×#10622199	2
C₂×#10622140	2
C₂×C₁₁×#504	2
C₂×#2171	11

Subgroups — C2×#13070456 #14907005

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13070456 #14907005