Subgroups — C₂×#22608811 #33055549

Order 18688.

750 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₈×Dic₁₄₆	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×#11924017	C₂	1	1	yes	maximal, characteristic
3	C₂×#17988666	C₂	1	1	yes	maximal, characteristic
4	#22608811	C₂	1	8	yes	maximal, direct product factor
5	C₂×#17988340	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#17988319	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#17988316	C₂	1	1	yes	maximal, characteristic
8	C₂×#322×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#11924017	C₄	1	1	yes	characteristic
10	C₂²×#11924011	—	2	1	no	—
11	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic
12	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic
13	C₈×Dic₁₄₆	—	2	2	no	—
14	C₈×Dic₁₄₆	C₂²	1	4	yes	complemented
15	C₄×#11924017	C₄	1	4	yes	—
16	C₄×#11924017	C₂²	1	4	yes	—
17	#17988666	—	2	2	no	—
18	#17988666	C₂²	1	4	yes	—
19	C₂×#14556523	C₄	1	1	yes	characteristic
20	C₂×C₄⋊#10596831	C₂²	1	1	yes	characteristic
21	C₂×C₄⋊#10596831	C₂²	1	1	yes	characteristic
22	C₂×#14556520	—	2	1	no	—
23	C₂×#14556516	C₄	1	1	yes	characteristic
24	C₂×#14556513	C₄	1	1	yes	characteristic
25	C₂×#14556503	—	2	1	no	—
26	C₂×C₈×Dic₇₃	—	2	1	no	—
27	#17988340	C₂²	1	4	yes	complemented
28	#17988319	C₂²	1	4	yes	complemented
29	#17988316	C₂²	1	4	yes	—
30	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
31	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
32	C₂×C₄×C₈×C₇₃	C₂²	1	1	yes	characteristic
33	#322×C₇₃	C₂²	1	4	yes	complemented
34	C₂²×Dic₁₄₆	C₂×C₄	1	1	yes	characteristic
35	C₂²×D₂₉₂	C₂×C₄	1	1	yes	characteristic
36	C₂²×C₄×D₇₃	—	2	1	no	—
37	C₂×#11924017	—	2	4	no	—
38	C₂×#11924017	C₂×C₄	1	4	yes	—
39	C₂×#11924011	—	2	4	no	—
40	C₂×#11924011	—	4	4	no	—
41	C₂²×#10596831	—	2	1	no	—
42	C₂²×#10596831	—	2	1	no	—
43	C₄×Dic₁₄₆	—	2	1	no	—
44	C₄×Dic₁₄₆	—	2	1	no	—
45	C₄×Dic₁₄₆	C₂×C₄	1	2	yes	—
46	C₄×Dic₁₄₆	C₂³	1	2	yes	—
47	C₄×D₂₉₂	—	2	1	no	—
48	C₄×D₂₉₂	—	2	1	no	—
49	C₄×D₂₉₂	C₂×C₄	1	2	yes	—
50	C₄×D₂₉₂	C₂³	1	2	yes	—
51	C₂×C₄⋊Dic₇₃	C₂×C₄	1	1	yes	characteristic
52	C₂×C₄⋊Dic₇₃	C₂×C₄	1	1	yes	characteristic
53	C₂×#11924007	—	2	1	no	—
54	C₂×#11924005	—	2	1	no	—
55	C₂×C₄×Dic₇₃	—	2	1	no	—
56	#14556523	C₂×C₄	1	4	yes	—
57	C₄⋊#10596831	—	2	1	no	—
58	C₄⋊#10596831	—	2	1	no	—
59	C₄⋊#10596831	C₂³	1	2	yes	—
60	C₄⋊#10596831	C₂³	1	2	yes	—
61	#14556520	—	2	4	no	—
62	#14556516	C₂×C₄	1	4	yes	—
63	#14556513	C₂×C₄	1	4	yes	—
64	#14556503	—	2	4	no	—
65	C₈×Dic₇₃	—	2	4	no	—
66	C₂²×C₈×C₇₃	—	2	1	no	—
67	C₂²×C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
68	C₂²×C₈×C₇₃	C₂×C₄	1	1	yes	characteristic
69	C₂²×C₈×C₇₃	D₄	1	1	yes	characteristic
70	C₂²×C₈×C₇₃	D₄	1	1	yes	characteristic
71	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
72	C₄×C₈×C₇₃	—	2	1	no	—
73	C₄×C₈×C₇₃	C₂×C₄	1	2	yes	—
74	C₄×C₈×C₇₃	D₄	1	2	yes	—
75	C₄×C₈×C₇₃	C₂³	1	2	yes	—
76	C₄×C₈×C₇₃	C₂³	1	2	yes	—
77	C₄×C₈×C₇₃	C₂³	1	2	yes	—
78	C₂³×D₇₃	—	2	1	no	—
79	C₂×Dic₁₄₆	—	2	1	no	—
80	C₂×Dic₁₄₆	—	2	2	no	—
81	C₂×Dic₁₄₆	M₁₆	1	4	yes	complemented
82	C₂×Dic₁₄₆	C₂²×C₄	1	2	yes	—
83	C₂×D₂₉₂	—	2	2	no	—
84	C₂×D₂₉₂	—	2	2	no	—
85	C₂×D₂₉₂	—	2	1	no	—
86	C₂×D₂₉₂	C₂²×C₄	1	2	yes	—
87	C₂²×Dic₇₃	—	2	1	no	—
88	C₂²×Dic₇₃	—	2	1	no	—
89	C₂²×Dic₇₃	—	2	1	no	—
90	C₂×C₄×D₇₃	—	2	2	no	—
91	C₂×C₄×D₇₃	—	2	2	no	—
92	C₂×C₄×D₇₃	—	4	2	no	—
93	C₂×C₄×D₇₃	—	4	2	no	—
94	#11924017	—	2	8	no	—
95	#11924011	—	4	8	no	—
96	C₂×#10596831	—	2	2	no	—
97	C₂×#10596831	—	2	2	no	—
98	C₂×#10596831	—	4	2	no	—
99	C₂×#10596831	—	4	2	no	—
100	C₄⋊Dic₇₃	—	2	1	no	—
101	C₄⋊Dic₇₃	—	2	1	no	—
102	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
103	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
104	#11924007	—	2	2	no	—
105	#11924007	—	2	2	no	—
106	#11924005	—	2	2	no	—
107	#11924005	—	2	2	no	—
108	C₄×Dic₇₃	—	2	2	no	—
109	C₄×Dic₇₃	—	2	2	no	—
110	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
111	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
112	C₂²×C₄×C₇₃	#41	1	1	yes	characteristic
113	C₂×C₈×C₇₃	—	2	4	no	—
114	C₂×C₈×C₇₃	—	2	2	no	—
115	C₂×C₈×C₇₃	—	2	2	no	—
116	C₂×C₈×C₇₃	—	2	2	no	—
117	C₂×C₈×C₇₃	—	2	2	no	—
118	C₂×C₈×C₇₃	—	2	2	no	—
119	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
120	C₂×C₈×C₇₃	C₂²×C₄	1	2	yes	—
121	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
122	C₂×C₈×C₇₃	C₂×D₄	1	2	yes	—
123	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
124	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
125	C₄²×C₇₃	#41	1	1	yes	characteristic
126	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
127	C₂³×C₇₃	C₄×D₄	1	1	yes	characteristic
128	C₂²×D₇₃	—	2	2	no	—
129	C₂²×D₇₃	—	4	2	no	—
130	C₂²×D₇₃	—	4	2	no	—
131	C₂²×D₇₃	—	4	2	no	—
132	C₂×C₄×C₇₃	—	2	2	no	—
133	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
134	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
135	C₂×C₄×C₇₃	C₄×D₄	1	1	yes	characteristic
136	C₂×C₄×C₇₃	C₂×M₁₆	1	2	yes	—
137	C₂×C₄×C₇₃	#131	1	2	yes	—
138	C₂×C₄×C₇₃	AGL(1,ℤ/8)	1	2	yes	—
139	C₂×C₄×C₇₃	#137	1	2	yes	—
140	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
141	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
142	C₂×C₄×C₇₃	C₂×#41	1	1	yes	characteristic
143	C₂×Dic₇₃	—	2	2	no	—
144	C₂×Dic₇₃	—	2	4	no	—
145	C₂×Dic₇₃	—	2	2	no	—
146	C₂×Dic₇₃	—	2	2	no	—
147	C₂×Dic₇₃	—	4	2	no	—
148	C₂×Dic₇₃	—	4	2	no	—
149	D₂₉₂	—	2	2	no	—
150	D₂₉₂	—	2	2	no	—
151	D₂₉₂	—	4	2	no	—
152	C₄×D₇₃	—	4	2	no	—
153	C₄×D₇₃	—	4	2	no	—
154	C₄×D₇₃	—	4	4	no	—
155	Dic₁₄₆	—	2	2	no	—
156	Dic₁₄₆	—	2	4	no	—
157	Dic₁₄₆	C₂×M₁₆	1	4	yes	complemented
158	C₈×C₇₃	—	2	4	no	—
159	C₈×C₇₃	—	2	2	no	—
160	C₈×C₇₃	—	2	2	no	—
161	C₈×C₇₃	—	2	2	no	—
162	C₈×C₇₃	—	2	2	no	—
163	#10596831	—	4	2	no	—
164	#10596831	—	4	2	no	—
165	C₂²×C₇₃	#435	1	2	yes	—
166	C₂²×C₇₃	#440	1	2	yes	—
167	C₂²×C₇₃	#443	1	2	yes	—
168	C₂²×C₇₃	C₂×C₄×D₄	1	1	yes	characteristic
169	C₂×D₇₃	—	4	2	no	—
170	C₂×D₇₃	—	4	2	no	—
171	C₂×D₇₃	—	4	2	no	—
172	C₂×D₇₃	—	8	4	no	—
173	C₄×C₇₃	—	2	1	no	—
174	C₄×C₇₃	—	2	1	no	—
175	C₄×C₇₃	#435	1	2	yes	—
176	C₄×C₇₃	#440	1	2	yes	—
177	C₄×C₇₃	C₂²×M₁₆	1	1	yes	characteristic
178	C₄×C₇₃	C₂×#131	1	1	yes	characteristic
179	C₄×C₇₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
180	C₄×C₇₃	C₂×#137	1	1	yes	characteristic
181	Dic₇₃	—	2	4	no	—
182	Dic₇₃	—	4	2	no	—
183	Dic₇₃	—	4	2	no	—
184	C₂×#1588	—	73	1	no	maximal, Sylow
185	C₂×C₇₃	#1588	1	4	yes	complemented
186	C₂×C₇₃	C₂×#435	1	1	yes	characteristic
187	C₂×C₇₃	C₂×#440	1	1	yes	characteristic
188	C₂×C₇₃	C₂×#443	1	1	yes	characteristic
189	D₇₃	—	8	2	no	—
190	C₂×C₈×Q₈	—	73	1	no	—
191	C₂×C₄×SD₁₆	—	73	1	no	—
192	C₂×#436	—	73	1	no	—
193	#1588	—	73	8	no	—
194	C₂×#335	—	73	1	no	—
195	C₂×Q₈⋊C₈	—	73	1	no	—
196	C₂×D₄⋊C₈	—	73	1	no	—
197	C₂×#322	D₇₃	1	1	yes	characteristic, complemented
198	C₇₃	C₂×#1588	1	1	yes	characteristic, complemented, Sylow
199	C₂²×SD₁₆	—	73	1	no	—
200	C₂²×M₁₆	—	146	1	no	—
201	C₂×C₄×Q₈	—	73	1	no	—
202	C₂×C₄×D₄	—	73	1	no	—
203	C₈×Q₈	—	73	4	no	—
204	C₈×Q₈	—	146	2	no	—
205	C₄×SD₁₆	—	73	4	no	—
206	C₄×SD₁₆	—	73	4	no	—
207	#436	—	73	4	no	—
208	#436	—	146	2	no	—
209	C₂×#106	—	73	1	no	—
210	C₂×C₄⋊C₈	—	73	1	no	—
211	C₂×C₄⋊C₈	—	73	1	no	—
212	C₂×C₄⋊C₈	—	146	1	no	—
213	C₂×#103	—	73	1	no	—
214	C₂×#102	—	73	1	no	—
215	C₂×C₂²⋊C₈	—	146	1	no	—
216	C₂×C₄×C₈	—	146	1	no	—
217	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
218	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
219	C₂×C₄×C₈	C₂×D₇₃	1	1	yes	characteristic
220	#335	—	73	4	no	—
221	Q₈⋊C₈	—	73	4	no	—
222	D₄⋊C₈	—	73	4	no	—
223	#322	C₂×D₇₃	1	4	yes	complemented
224	C₂²×Q₈	—	73	1	no	—
225	C₂²×D₄	—	73	1	no	—
226	C₂³×C₄	—	146	1	no	—
227	C₂×SD₁₆	—	73	4	no	—
228	C₂×SD₁₆	—	146	4	no	—
229	C₂×M₁₆	—	292	4	no	—
230	C₂×M₁₆	—	146	4	no	—
231	C₂²×C₈	—	2	1	no	—
232	C₂²×C₈	—	146	1	no	—
233	C₂²×C₈	—	146	1	no	—
234	C₂²×C₈	C₄×D₇₃	1	1	yes	characteristic
235	C₂²×C₈	C₄×D₇₃	1	1	yes	characteristic
236	C₂²×C₈	D₂₉₂	1	1	yes	characteristic
237	C₂²×C₈	D₂₉₂	1	1	yes	characteristic
238	C₄×Q₈	—	73	2	no	—
239	C₄×Q₈	—	73	2	no	—
240	C₄×Q₈	—	146	1	no	—
241	C₄×Q₈	—	146	1	no	—
242	C₄×D₄	—	73	2	no	—
243	C₄×D₄	—	73	2	no	—
244	C₄×D₄	—	146	1	no	—
245	C₄×D₄	—	146	1	no	—
246	C₂×C₄⋊C₄	—	73	1	no	—
247	C₂×C₄⋊C₄	—	73	1	no	—
248	C₂×C₄⋊C₄	—	146	1	no	—
249	C₂×C₂²⋊C₄	—	146	1	no	—
250	C₂×C₄²	—	146	1	no	—
251	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
252	#106	—	73	4	no	—
253	C₄⋊C₈	—	73	2	no	—
254	C₄⋊C₈	—	73	2	no	—
255	C₄⋊C₈	—	146	4	no	—
256	C₄⋊C₈	—	146	1	no	—
257	C₄⋊C₈	—	146	1	no	—
258	#103	—	73	4	no	—
259	#102	—	73	4	no	—
260	C₂²⋊C₈	—	146	4	no	—
261	C₄×C₈	—	2	1	no	—
262	C₄×C₈	—	146	4	no	—
263	C₄×C₈	C₄×D₇₃	1	2	yes	—
264	C₄×C₈	D₂₉₂	1	2	yes	—
265	C₄×C₈	C₂²×D₇₃	1	2	yes	—
266	C₄×C₈	C₂²×D₇₃	1	2	yes	—
267	C₄×C₈	C₂²×D₇₃	1	2	yes	—
268	C₂⁴	—	146	1	no	—
269	C₂×Q₈	—	73	4	no	—
270	C₂×Q₈	—	73	2	no	—
271	C₂×Q₈	—	146	1	no	—
272	C₂×Q₈	—	146	2	no	—
273	C₂×D₄	—	73	2	no	—
274	C₂×D₄	—	146	1	no	—
275	C₂×D₄	—	146	2	no	—
276	C₂×D₄	—	146	2	no	—
277	C₂²×C₄	—	292	2	no	—
278	C₂²×C₄	—	292	2	no	—
279	C₂²×C₄	—	146	1	no	—
280	C₂²×C₄	—	146	1	no	—
281	C₂²×C₄	—	146	2	no	—
282	C₂²×C₄	—	146	2	no	—
283	C₂²×C₄	—	146	1	no	—
284	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
285	C₂²×C₄	C₂×D₂₉₂	1	1	yes	characteristic
286	C₂²×C₄	#11924028	1	1	yes	characteristic
287	SD₁₆	—	146	8	no	—
288	M₁₆	—	292	8	no	—
289	C₂×C₈	—	2	4	no	—
290	C₂×C₈	—	2	2	no	—
291	C₂×C₈	—	2	2	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	—	292	2	no	—
296	C₂×C₈	—	292	2	no	—
297	C₂×C₈	—	146	2	no	—
298	C₂×C₈	—	146	2	no	—
299	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
300	C₂×C₈	C₂×C₄×D₇₃	1	2	yes	—
301	C₂×C₈	C₂×D₂₉₂	1	2	yes	—
302	C₂×C₈	C₂×D₂₉₂	1	2	yes	—
303	C₄⋊C₄	—	73	2	no	—
304	C₄⋊C₄	—	73	2	no	—
305	C₄⋊C₄	—	146	2	no	—
306	C₄⋊C₄	—	146	1	no	—
307	C₄⋊C₄	—	146	1	no	—
308	C₄⋊C₄	—	146	2	no	—
309	C₂²⋊C₄	—	146	2	no	—
310	C₂²⋊C₄	—	146	2	no	—
311	C₄²	—	146	2	no	—
312	C₄²	—	146	2	no	—
313	C₄²	C₂×C₄×D₇₃	1	1	yes	characteristic
314	C₄²	C₂×D₂₉₂	1	1	yes	characteristic
315	C₄²	#11924028	1	1	yes	characteristic
316	C₄²	C₂³×D₇₃	1	1	yes	characteristic
317	C₂³	—	292	2	no	—
318	C₂³	—	292	2	no	—
319	C₂³	—	292	2	no	—
320	C₂³	—	146	2	no	—
321	C₂³	C₄×D₂₉₂	1	1	yes	characteristic
322	Q₈	—	73	4	no	—
323	Q₈	—	146	4	no	—
324	Q₈	—	146	2	no	—
325	D₄	—	292	2	no	—
326	D₄	—	146	2	no	—
327	D₄	—	146	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	292	2	no	—
330	C₂×C₄	—	292	2	no	—
331	C₂×C₄	—	292	2	no	—
332	C₂×C₄	—	292	2	no	—
333	C₂×C₄	—	292	4	no	—
334	C₂×C₄	—	146	2	no	—
335	C₂×C₄	—	146	2	no	—
336	C₂×C₄	—	146	4	no	—
337	C₂×C₄	—	146	2	no	—
338	C₂×C₄	C₄×D₂₉₂	1	1	yes	characteristic
339	C₂×C₄	C₄×D₂₉₂	1	1	yes	characteristic
340	C₂×C₄	C₄×D₂₉₂	1	1	yes	characteristic
341	C₂×C₄	M₁₆×D₇₃	1	2	yes	—
342	C₂×C₄	#14556599	1	2	yes	—
343	C₂×C₄	#14556619	1	2	yes	—
344	C₂×C₄	#14556624	1	2	yes	—
345	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
346	C₂×C₄	C₂²×D₂₉₂	1	1	yes	characteristic
347	C₂×C₄	C₂×#11924028	1	1	yes	characteristic
348	C₈	—	2	4	no	—
349	C₈	—	2	2	no	—
350	C₈	—	2	2	no	—
351	C₈	—	2	2	no	—
352	C₈	—	2	2	no	—
353	C₈	—	292	2	no	—
354	C₈	—	292	2	no	—
355	C₂²	—	292	2	no	—
356	C₂²	—	292	2	no	—
357	C₂²	—	292	2	no	—
358	C₂²	—	584	4	no	—
359	C₂²	#17988660	1	2	yes	—
360	C₂²	#17988689	1	2	yes	—
361	C₂²	#17988705	1	2	yes	—
362	C₂²	C₂×C₄×D₂₉₂	1	1	yes	characteristic
363	C₄	—	2	1	no	—
364	C₄	—	2	1	no	—
365	C₄	—	292	2	no	—
366	C₄	—	292	2	no	—
367	C₄	—	146	4	no	—
368	C₄	#17988660	1	2	yes	—
369	C₄	#17988689	1	2	yes	—
370	C₄	C₂×M₁₆×D₇₃	1	1	yes	characteristic
371	C₄	C₂×#14556599	1	1	yes	characteristic
372	C₄	C₂×#14556619	1	1	yes	characteristic
373	C₄	C₂×#14556624	1	1	yes	characteristic
374	C₂	—	584	2	no	—
375	C₂	#22608811	1	4	yes	direct product factor
376	C₂	C₂×#17988660	1	1	yes	characteristic
377	C₂	C₂×#17988689	1	1	yes	characteristic
378	C₂	C₂×#17988705	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂×D₂₉₂
commutator	C₂×C₄×C₇₃	C₂³×C₄
Frattini	C₄²	C₂³×D₇₃
Fitting	C₂×#322×C₇₃	C₂
socle	C₂³×C₇₃	C₄×D₄
prime radical	C₂²×D₂₉₂	C₂×C₄
cosocle	C₄²×C₇₃	C₂⁴
hypercenter	C₂×#322	D₇₃
hypocenter	C₇₃	C₂×#1588
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄×C₈ ◁ C₂×#322

Complements

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

N	H ≅ G/N	type
1. C₂×C₈×Dic₁₄₆	C₂	semidirect
4. #22608811	C₂	direct (N × H)
5. C₂×#17988340	C₂	semidirect
6. C₂×#17988319	C₂	semidirect
8. C₂×#322×C₇₃	C₂	semidirect
14. C₈×Dic₁₄₆	C₂²	semidirect
27. #17988340	C₂²	semidirect
28. #17988319	C₂²	semidirect
33. #322×C₇₃	C₂²	semidirect
81. C₂×Dic₁₄₆	M₁₆	semidirect
157. Dic₁₄₆	C₂×M₁₆	semidirect
185. C₂×C₇₃	#1588	semidirect
197. C₂×#322	D₇₃	semidirect
198. C₇₃	C₂×#1588	semidirect
223. #322	C₂×D₇₃	semidirect
375. C₂	#22608811	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×C₈×Dic₁₄₆	2
C₂×C₄×#11924017	2
C₂×#17988666	2
#22608811	2
C₂×#17988340	2
C₂×#17988319	2
C₂×#17988316	2
C₂×#322×C₇₃	2
C₂×#1588	73

Subgroups — C2×#22608811 #33055549

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22608811 #33055549