Subgroups — C₂×#19136675 #25250982

Order 11008.

686 conjugacy classes of subgroups.

The subgroup lattice has 414 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583342	C₂	1	1	yes	maximal, characteristic
2	C₂×#14583340	C₂	1	1	yes	maximal, characteristic
3	C₂×#14583277	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14583015	C₂	1	1	yes	maximal, characteristic
5	#19136675	C₂	1	8	yes	maximal, direct product factor
6	C₂×#14582719	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14582714	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₄₃×#362	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#13063347	C₂²	1	1	yes	characteristic
10	C₂²×Dic₁₇₂	C₂²	1	1	yes	characteristic
11	C₂²×#10621885	—	2	1	no	—
12	C₂×#13063333	—	2	1	no	—
13	C₂×#13063323	—	2	1	no	—
14	#14583342	—	2	2	no	—
15	#14583342	C₂²	1	4	yes	—
16	#14583340	—	2	2	no	—
17	#14583340	C₂²	1	4	yes	—
18	C₂×Dic₃₄₄	—	2	1	no	—
19	C₂×#13063271	—	2	1	no	—
20	C₂×#13063270	—	2	1	no	—
21	C₂×#13063268	—	2	1	no	—
22	C₂×#13063265	C₂²	1	1	yes	characteristic
23	#14583277	—	2	2	no	—
24	#14583277	C₂²	1	4	yes	complemented
25	#14583015	—	2	2	no	—
26	#14583015	C₂²	1	4	yes	—
27	C₂×#13063251	—	2	1	no	—
28	C₂×C₈×Dic₄₃	C₂²	1	1	yes	characteristic
29	#14582719	C₂²	1	4	yes	complemented
30	#14582714	C₂²	1	4	yes	complemented
31	C₂²×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic
32	C₂×M₃₂×C₄₃	C₂²	1	1	yes	characteristic
33	C₂×#108×C₄₃	C₂²	1	1	yes	characteristic
34	C₄₃×#362	C₂²	1	4	yes	complemented
35	C₂×#10621898	—	2	1	no	—
36	C₂²×Dic₈₆	—	2	1	no	—
37	#13063347	—	2	1	no	—
38	#13063347	—	2	1	no	—
39	#13063347	D₄	1	2	yes	—
40	#13063347	C₂³	1	2	yes	—
41	C₂×Dic₁₇₂	—	2	1	no	—
42	C₂×Dic₁₇₂	—	2	1	no	—
43	C₂×Dic₁₇₂	—	2	1	no	—
44	C₂×Dic₁₇₂	—	2	1	no	—
45	C₂×Dic₁₇₂	—	2	1	no	—
46	C₂×Dic₁₇₂	D₄	1	1	yes	characteristic
47	C₂×Dic₁₇₂	C₂³	1	2	yes	—
48	C₂×#10621885	—	2	4	no	—
49	C₂×#10621885	—	4	1	no	—
50	C₂×#10621885	—	4	1	no	—
51	C₂×#10621885	—	4	2	no	—
52	C₂×#10621873	—	2	1	no	—
53	C₂×D₃₄₄	D₄	1	1	yes	characteristic
54	#13063333	—	2	4	no	—
55	#13063333	—	4	2	no	—
56	C₂×#10621872	—	4	1	no	—
57	C₂²×C₄₃⋊C₈	D₄	1	1	yes	characteristic
58	C₂×C₈×D₄₃	—	4	1	no	—
59	#13063323	—	2	4	no	—
60	#13063323	—	4	2	no	—
61	C₂×Dic₄₃⋊C₄	—	4	2	no	—
62	C₂×C₄×Dic₄₃	D₄	1	1	yes	characteristic
63	Dic₃₄₄	—	2	4	no	—
64	#13063271	—	2	4	no	—
65	#13063270	—	2	4	no	—
66	#13063268	—	2	4	no	—
67	#13063265	—	2	1	no	—
68	#13063265	C₂³	1	2	yes	—
69	C₂×C₄₃⋊C₁₆	—	2	1	no	—
70	#13063251	—	2	4	no	—
71	C₈×Dic₄₃	D₄	1	2	yes	—
72	C₈×Dic₄₃	C₂³	1	2	yes	—
73	C₂²×Q₈×C₄₃	—	2	1	no	—
74	C₂×Q₁₆×C₄₃	—	2	1	no	—
75	C₂×Q₁₆×C₄₃	—	2	1	no	—
76	C₂×Q₁₆×C₄₃	—	2	1	no	—
77	C₂×Q₁₆×C₄₃	—	2	1	no	—
78	C₂×Q₁₆×C₄₃	—	2	1	no	—
79	C₂×Q₁₆×C₄₃	C₂³	1	2	yes	—
80	C₂×M₁₆×C₄₃	—	2	1	no	—
81	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
82	M₃₂×C₄₃	—	2	1	no	—
83	M₃₂×C₄₃	C₂³	1	2	yes	—
84	C₂×C₁₆×C₄₃	—	2	1	no	—
85	#108×C₄₃	—	2	1	no	—
86	#108×C₄₃	C₂³	1	2	yes	—
87	C₂×Q₈×C₄₃	—	2	2	no	—
88	C₂×Q₈×C₄₃	—	4	1	no	—
89	C₂×Q₈×C₄₃	—	4	1	no	—
90	C₂×Q₈×C₄₃	—	4	1	no	—
91	C₂×Q₈×C₄₃	—	4	1	no	—
92	C₂×Q₈×C₄₃	—	4	1	no	—
93	C₂²×C₄×C₄₃	—	4	1	no	—
94	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
95	C₂×C₂²⋊D₄₃	—	4	1	no	—
96	C₂²×Dic₄₃	—	2	1	no	—
97	C₂²×Dic₄₃	—	4	1	no	—
98	#10621898	—	2	2	no	—
99	#10621898	—	2	2	no	—
100	#10621898	—	4	1	no	—
101	#10621898	—	4	1	no	—
102	C₂×D₁₇₂	—	2	1	no	—
103	C₂×C₄×D₄₃	—	4	1	no	—
104	C₂×Dic₈₆	—	2	1	no	—
105	C₂×Dic₈₆	—	2	2	no	—
106	C₂×Dic₈₆	—	4	1	no	—
107	C₂×Dic₈₆	—	4	1	no	—
108	C₂×Dic₈₆	—	4	1	no	—
109	C₂×Dic₈₆	—	4	1	no	—
110	C₂×Dic₈₆	—	4	1	no	—
111	Q₁₆×C₄₃	—	2	2	no	—
112	Q₁₆×C₄₃	—	2	2	no	—
113	Q₁₆×C₄₃	—	4	1	no	—
114	Q₁₆×C₄₃	—	4	1	no	—
115	M₁₆×C₄₃	—	2	2	no	—
116	M₁₆×C₄₃	—	4	1	no	—
117	C₂×C₈×C₄₃	—	4	1	no	—
118	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
119	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
120	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
121	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
122	C₂×C₈×C₄₃	#41	1	1	yes	characteristic
123	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
124	#10621885	—	4	4	no	—
125	#10621885	—	4	4	no	—
126	Dic₄₃⋊C₄	—	4	8	no	—
127	C₄×Dic₄₃	—	2	1	no	—
128	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
129	C₂×C₄₃⋊C₈	D₈	1	1	yes	characteristic
130	C₂×C₄₃⋊C₈	D₈	1	1	yes	characteristic
131	C₂×C₄₃⋊C₈	D₈	1	2	yes	—
132	C₂×C₄₃⋊C₈	C₂×D₄	1	2	yes	—
133	Dic₁₇₂	—	2	1	no	—
134	Dic₁₇₂	—	2	2	no	—
135	Dic₁₇₂	—	2	2	no	—
136	Dic₁₇₂	—	4	1	no	—
137	Dic₁₇₂	—	4	1	no	—
138	Dic₁₇₂	C₂×D₄	1	2	yes	—
139	D₃₄₄	—	2	1	no	—
140	D₃₄₄	C₂×D₄	1	2	yes	—
141	#10621873	—	2	2	no	—
142	#10621873	—	2	2	no	—
143	#10621872	—	4	4	no	—
144	C₈×D₄₃	—	4	4	no	—
145	C₁₆×C₄₃	—	2	2	no	—
146	C₄₃⋊C₁₆	—	2	2	no	—
147	C₂³×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
148	C₂²×D₄₃	—	4	1	no	—
149	Q₈×C₄₃	—	4	2	no	—
150	Q₈×C₄₃	—	4	2	no	—
151	Q₈×C₄₃	—	8	1	no	—
152	Q₈×C₄₃	—	8	1	no	—
153	C₂×C₄×C₄₃	—	4	2	no	—
154	C₂×C₄×C₄₃	—	8	1	no	—
155	C₂×C₄×C₄₃	—	8	1	no	—
156	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
157	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
158	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
159	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
160	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	1	yes	characteristic
161	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
162	C₂²⋊D₄₃	—	4	2	no	—
163	C₂²⋊D₄₃	—	4	2	no	—
164	C₂×Dic₄₃	—	2	4	no	—
165	C₂×Dic₄₃	—	2	2	no	—
166	C₂×Dic₄₃	—	4	1	no	—
167	C₂×Dic₄₃	—	4	2	no	—
168	C₂×Dic₄₃	—	8	1	no	—
169	C₂×Dic₄₃	—	8	1	no	—
170	D₁₇₂	—	2	2	no	—
171	D₁₇₂	—	4	1	no	—
172	C₄×D₄₃	—	4	2	no	—
173	C₄×D₄₃	—	4	2	no	—
174	Dic₈₆	—	2	2	no	—
175	Dic₈₆	—	4	1	no	—
176	Dic₈₆	—	4	2	no	—
177	Dic₈₆	—	4	2	no	—
178	Dic₈₆	—	8	1	no	—
179	Dic₈₆	—	8	1	no	—
180	C₈×C₄₃	—	4	2	no	—
181	C₈×C₄₃	#121	1	1	yes	characteristic
182	C₈×C₄₃	#121	1	1	yes	characteristic
183	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
184	C₈×C₄₃	C₂×#41	1	1	yes	characteristic
185	C₄₃⋊C₈	C₂×D₈	1	2	yes	—
186	C₄₃⋊C₈	C₂×D₈	1	2	yes	—
187	C₂×#2214	—	43	1	no	maximal, Sylow
188	C₂²×C₄₃	—	2	2	no	—
189	C₂²×C₄₃	#459	1	1	yes	characteristic
190	C₂²×C₄₃	#459	1	1	yes	characteristic
191	C₂²×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
192	C₂×D₄₃	—	4	2	no	—
193	C₂×D₄₃	—	8	2	no	—
194	C₄×C₄₃	—	8	2	no	—
195	C₄×C₄₃	#459	1	1	yes	characteristic
196	C₄×C₄₃	#459	1	1	yes	characteristic
197	C₄×C₄₃	C₂×#121	1	1	yes	characteristic
198	C₄×C₄₃	C₂²×D₈	1	1	yes	characteristic
199	Dic₄₃	—	2	4	no	—
200	Dic₄₃	—	4	2	no	—
201	Dic₄₃	—	8	2	no	—
202	C₂×#510	—	43	1	no	—
203	C₂×#510	—	43	1	no	—
204	C₂×#494	—	43	1	no	—
205	C₂×#443	—	43	1	no	—
206	#2214	—	43	8	no	—
207	C₂×#364	—	43	1	no	—
208	C₂×#362	—	43	1	no	—
209	C₂×#362	D₄₃	1	1	yes	characteristic, complemented
210	C₂×C₄₃	—	2	1	no	—
211	C₂×C₄₃	—	2	1	no	—
212	C₂×C₄₃	#2214	1	2	yes	complemented
213	C₂×C₄₃	C₂×#459	1	1	yes	characteristic
214	D₄₃	—	8	2	no	—
215	C₂×#135	—	43	1	no	—
216	C₂²×Q₁₆	—	43	1	no	—
217	C₂²×Q₁₆	—	86	1	no	—
218	C₂²×Q₁₆	C₂×D₄₃	1	1	yes	characteristic
219	C₂×#131	—	86	1	no	—
220	C₂×C₄⋊Q₈	—	86	1	no	—
221	#510	—	43	4	no	—
222	#510	—	43	4	no	—
223	#510	—	86	2	no	—
224	#510	—	86	2	no	—
225	C₂×Q₃₂	—	86	1	no	—
226	C₂×Q₃₂	—	86	1	no	—
227	C₂×SD₃₂	—	86	1	no	—
228	C₂×SD₃₂	—	86	1	no	—
229	C₂×M₃₂	—	43	1	no	—
230	C₂×M₃₂	C₂×D₄₃	1	1	yes	characteristic
231	#494	—	43	4	no	—
232	#494	—	86	2	no	—
233	#443	—	43	4	no	—
234	#443	—	86	2	no	—
235	C₂×#108	C₂×D₄₃	1	1	yes	characteristic
236	C₂×#104	—	86	1	no	—
237	C₂×C₄×C₈	—	43	1	no	—
238	#364	—	43	4	no	—
239	#362	—	43	4	no	—
240	#362	C₂×D₄₃	1	4	yes	complemented
241	C₄₃	C₂×#2214	1	1	yes	characteristic, complemented, Sylow
242	C₂×#41	—	86	1	no	—
243	C₂²×Q₈	—	2	1	no	—
244	C₂²×Q₈	—	86	1	no	—
245	#135	—	43	2	no	—
246	#135	—	43	2	no	—
247	#135	—	86	1	no	—
248	#135	—	86	1	no	—
249	C₂×Q₁₆	—	2	1	no	—
250	C₂×Q₁₆	—	2	1	no	—
251	C₂×Q₁₆	—	2	1	no	—
252	C₂×Q₁₆	—	2	1	no	—
253	C₂×Q₁₆	—	2	1	no	—
254	C₂×Q₁₆	—	43	1	no	—
255	C₂×Q₁₆	—	43	2	no	—
256	C₂×Q₁₆	—	86	4	no	—
257	C₂×Q₁₆	—	86	1	no	—
258	C₂×Q₁₆	—	86	1	no	—
259	C₂×Q₁₆	—	86	1	no	—
260	C₂×Q₁₆	—	86	1	no	—
261	C₂×Q₁₆	—	86	1	no	—
262	C₂×Q₁₆	—	172	1	no	—
263	C₂×Q₁₆	—	172	1	no	—
264	C₂×Q₁₆	—	172	2	no	—
265	C₂×Q₁₆	C₂²×D₄₃	1	2	yes	—
266	C₂×SD₁₆	—	86	1	no	—
267	C₂×D₈	—	43	1	no	—
268	#131	—	86	4	no	—
269	#131	—	172	2	no	—
270	C₂×M₁₆	—	2	1	no	—
271	C₂×M₁₆	—	172	1	no	—
272	C₂²×C₈	—	43	1	no	—
273	C₂²×C₈	—	172	1	no	—
274	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
275	C₄⋊Q₈	—	86	4	no	—
276	C₄⋊Q₈	—	172	2	no	—
277	C₂×C₄⋊C₄	—	172	2	no	—
278	C₂×C₄²	—	43	1	no	—
279	Q₃₂	—	86	4	no	—
280	Q₃₂	—	86	4	no	—
281	SD₃₂	—	86	4	no	—
282	SD₃₂	—	86	4	no	—
283	M₃₂	—	2	1	no	—
284	M₃₂	—	43	2	no	—
285	M₃₂	—	86	1	no	—
286	M₃₂	C₂²×D₄₃	1	2	yes	—
287	C₂×C₁₆	—	2	1	no	—
288	C₂×C₁₆	—	86	1	no	—
289	#108	—	2	1	no	—
290	#108	C₂²×D₄₃	1	2	yes	—
291	#104	—	86	4	no	—
292	C₄×C₈	—	43	2	no	—
293	C₄×C₈	—	43	2	no	—
294	#41	—	86	2	no	—
295	#41	—	86	2	no	—
296	#41	—	172	1	no	—
297	#41	—	172	1	no	—
298	C₂×Q₈	—	2	2	no	—
299	C₂×Q₈	—	4	1	no	—
300	C₂×Q₈	—	4	1	no	—
301	C₂×Q₈	—	4	1	no	—
302	C₂×Q₈	—	4	1	no	—
303	C₂×Q₈	—	4	1	no	—
304	C₂×Q₈	—	86	1	no	—
305	C₂×Q₈	—	86	2	no	—
306	C₂×Q₈	—	172	1	no	—
307	C₂×Q₈	—	172	1	no	—
308	C₂×Q₈	—	172	1	no	—
309	C₂×Q₈	—	172	1	no	—
310	C₂×Q₈	—	172	1	no	—
311	C₂×D₄	—	86	1	no	—
312	C₂×D₄	—	172	1	no	—
313	C₂²×C₄	—	4	1	no	—
314	C₂²×C₄	—	86	1	no	—
315	C₂²×C₄	—	172	1	no	—
316	C₂²×C₄	—	172	1	no	—
317	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
318	Q₁₆	—	2	2	no	—
319	Q₁₆	—	2	2	no	—
320	Q₁₆	—	4	1	no	—
321	Q₁₆	—	4	1	no	—
322	Q₁₆	—	43	2	no	—
323	Q₁₆	—	86	1	no	—
324	Q₁₆	—	86	2	no	—
325	Q₁₆	—	86	2	no	—
326	Q₁₆	—	172	4	no	—
327	Q₁₆	—	172	4	no	—
328	Q₁₆	—	172	1	no	—
329	Q₁₆	—	172	1	no	—
330	SD₁₆	—	86	2	no	—
331	SD₁₆	—	86	2	no	—
332	D₈	—	43	2	no	—
333	D₈	—	86	1	no	—
334	M₁₆	—	2	2	no	—
335	M₁₆	—	4	1	no	—
336	M₁₆	—	172	4	no	—
337	C₂×C₈	—	4	1	no	—
338	C₂×C₈	—	43	1	no	—
339	C₂×C₈	—	43	1	no	—
340	C₂×C₈	—	43	2	no	—
341	C₂×C₈	—	43	2	no	—
342	C₂×C₈	—	172	4	no	—
343	C₂×C₈	#10621898	1	1	yes	characteristic
344	C₂×C₈	#10621898	1	1	yes	characteristic
345	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
346	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
347	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
348	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
349	C₄⋊C₄	—	172	8	no	—
350	C₄²	—	43	2	no	—
351	C₄²	—	86	1	no	—
352	C₁₆	—	2	2	no	—
353	C₁₆	—	86	2	no	—
354	C₂³	—	172	1	no	—
355	C₂³	#13063352	1	1	yes	characteristic
356	Q₈	—	4	2	no	—
357	Q₈	—	4	2	no	—
358	Q₈	—	8	1	no	—
359	Q₈	—	8	1	no	—
360	Q₈	—	86	2	no	—
361	Q₈	—	344	1	no	—
362	Q₈	—	344	1	no	—
363	Q₈	—	172	2	no	—
364	Q₈	—	172	2	no	—
365	Q₈	—	172	1	no	—
366	D₄	—	86	2	no	—
367	D₄	—	172	2	no	—
368	D₄	—	172	2	no	—
369	D₄	—	172	1	no	—
370	C₂×C₄	—	4	2	no	—
371	C₂×C₄	—	8	1	no	—
372	C₂×C₄	—	8	1	no	—
373	C₂×C₄	—	86	4	no	—
374	C₂×C₄	—	86	2	no	—
375	C₂×C₄	—	344	1	no	—
376	C₂×C₄	—	344	1	no	—
377	C₂×C₄	—	172	2	no	—
378	C₂×C₄	—	172	1	no	—
379	C₂×C₄	—	172	2	no	—
380	C₂×C₄	—	172	2	no	—
381	C₂×C₄	#13063298	1	1	yes	characteristic
382	C₂×C₄	#13063298	1	1	yes	characteristic
383	C₂×C₄	D₈×D₄₃	1	1	yes	characteristic
384	C₂×C₄	D₈×D₄₃	1	1	yes	characteristic
385	C₂×C₄	#13063352	1	1	yes	characteristic
386	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
387	C₈	—	4	2	no	—
388	C₈	—	43	2	no	—
389	C₈	—	43	2	no	—
390	C₈	#13063298	1	1	yes	characteristic
391	C₈	#13063298	1	1	yes	characteristic
392	C₈	C₂×D₄×D₄₃	1	1	yes	characteristic
393	C₈	C₂×#10621898	1	1	yes	characteristic
394	C₂²	—	2	2	no	—
395	C₂²	—	344	2	no	—
396	C₂²	—	172	2	no	—
397	C₂²	#14583093	1	1	yes	characteristic
398	C₂²	#14583093	1	1	yes	characteristic
399	C₂²	C₂×#13063352	1	1	yes	characteristic
400	C₄	—	8	2	no	—
401	C₄	—	86	4	no	—
402	C₄	—	344	2	no	—
403	C₄	—	172	2	no	—
404	C₄	#14583093	1	1	yes	characteristic
405	C₄	#14583093	1	1	yes	characteristic
406	C₄	C₂×#13063298	1	1	yes	characteristic
407	C₄	C₂×D₈×D₄₃	1	1	yes	characteristic
408	C₂	—	2	1	no	—
409	C₂	—	2	1	no	—
410	C₂	—	344	2	no	—
411	C₂	#19136675	1	2	yes	direct product factor
412	C₂	C₂×#14583093	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	#14583093
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₂×C₄₃×#362	C₂
socle	C₂²×C₄₃	#459
prime radical	C₂×#13063347	C₂²
hypercenter	C₂×#362	D₄₃
hypocenter	C₄₃	C₂×#2214
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂×#362

Complements

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

N	H ≅ G/N	type
3. C₂×#14583277	C₂	semidirect
5. #19136675	C₂	direct (N × H)
6. C₂×#14582719	C₂	semidirect
7. C₂×#14582714	C₂	semidirect
8. C₂×C₄₃×#362	C₂	semidirect
24. #14583277	C₂²	semidirect
29. #14582719	C₂²	semidirect
30. #14582714	C₂²	semidirect
34. C₄₃×#362	C₂²	semidirect
209. C₂×#362	D₄₃	semidirect
212. C₂×C₄₃	#2214	semidirect
240. #362	C₂×D₄₃	semidirect
241. C₄₃	C₂×#2214	semidirect
411. C₂	#19136675	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×#14583342	2
C₂×#14583340	2
C₂×#14583277	2
C₂×#14583015	2
#19136675	2
C₂×#14582719	2
C₂×#14582714	2
C₂×C₄₃×#362	2
C₂×#2214	43

Subgroups — C2×#19136675 #25250982

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19136675 #25250982