Subgroups — C₂×#20242953 #26198939

Order 12032.

734 conjugacy classes of subgroups.

The subgroup lattice has 398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#15689330	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#15689320	C₂	1	1	yes	maximal, characteristic
3	C₂×#15689253	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242953	C₂	1	8	yes	maximal, direct product factor
5	C₂×#15688874	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#15688869	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#15688867	C₂	1	1	yes	maximal, characteristic
8	C₂×C₄₇×#486	C₂	1	1	yes	maximal, characteristic
9	C₂²×#10625337	—	2	1	no	—
10	C₂²×#10625335	—	2	1	no	—
11	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
12	#15689330	—	2	2	no	—
13	#15689330	C₂²	1	4	yes	complemented
14	#15689320	—	2	2	no	—
15	#15689320	C₂²	1	4	yes	—
16	#15689253	—	2	2	no	—
17	#15689253	C₂²	1	4	yes	complemented
18	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
20	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	1	yes	characteristic
21	C₂×Dic₄₇⋊C₈	—	2	1	no	—
22	C₂×#13093948	—	2	1	no	—
23	C₂×#13093945	—	2	1	no	—
24	C₂×#13093934	—	2	1	no	—
25	#15688874	C₂²	1	4	yes	complemented
26	#15688869	C₂²	1	4	yes	complemented
27	#15688867	C₂²	1	4	yes	—
28	C₂×C₄⋊Q₈×C₄₇	C₂²	1	1	yes	characteristic
29	C₂×#127×C₄₇	C₂²	1	1	yes	characteristic
30	C₄₇×#486	—	2	2	no	—
31	C₄₇×#486	C₂²	1	4	yes	—
32	C₂×#102×C₄₇	—	2	1	no	—
33	C₂×#102×C₄₇	—	2	1	no	—
34	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
35	C₂²×Dic₉₄	D₄	1	1	yes	characteristic
36	C₂×#10625337	—	2	4	no	—
37	C₂×#10625337	—	4	4	no	—
38	C₂×#10625335	—	2	4	no	—
39	C₂×#10625335	—	4	4	no	—
40	C₂²×C₄₇⋊C₈	—	2	1	no	—
41	C₂²×C₄₇⋊C₈	—	2	1	no	—
42	C₂²×C₄₇⋊C₈	—	2	1	no	—
43	C₄×Dic₉₄	—	2	1	no	—
44	C₄×Dic₉₄	—	2	1	no	—
45	C₄×Dic₉₄	D₄	1	2	yes	—
46	C₄×Dic₉₄	C₂³	1	2	yes	—
47	C₂×C₄⋊Dic₄₇	D₄	1	1	yes	characteristic
48	C₂×Dic₄₇⋊C₄	—	2	1	no	—
49	C₂×C₄×Dic₄₇	—	2	1	no	—
50	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
51	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
52	C₄⋊(C₄₇⋊C₈)	—	2	1	no	—
53	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
54	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
55	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
56	Dic₄₇⋊C₈	—	2	4	no	—
57	#13093948	—	2	4	no	—
58	#13093945	—	2	4	no	—
59	#13093934	—	2	4	no	—
60	C₂²×Q₈×C₄₇	—	2	1	no	—
61	C₂²×D₄×C₄₇	—	2	1	no	—
62	C₂²×D₄×C₄₇	—	2	1	no	—
63	C₂²×D₄×C₄₇	—	2	1	no	—
64	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
65	C₂²×C₈×C₄₇	D₄	1	1	yes	characteristic
66	C₄⋊Q₈×C₄₇	—	2	1	no	—
67	C₄⋊Q₈×C₄₇	—	2	1	no	—
68	C₄⋊Q₈×C₄₇	—	2	1	no	—
69	C₄⋊Q₈×C₄₇	C₂³	1	2	yes	—
70	#127×C₄₇	—	2	1	no	—
71	#127×C₄₇	—	2	1	no	—
72	#127×C₄₇	—	2	1	no	—
73	#127×C₄₇	C₂³	1	2	yes	—
74	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
75	C₂×C₄⋊C₄×C₄₇	—	2	1	no	—
76	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
77	#102×C₄₇	—	2	4	no	—
78	#102×C₄₇	—	2	4	no	—
79	C₄×C₈×C₄₇	D₄	1	2	yes	—
80	C₄×C₈×C₄₇	C₂³	1	2	yes	—
81	C₂⁴×C₄₇	—	4	1	no	—
82	C₂×Q₈×C₄₇	—	2	2	no	—
83	C₂×Q₈×C₄₇	—	4	1	no	—
84	C₂×Q₈×C₄₇	—	4	2	no	—
85	C₂×Q₈×C₄₇	—	4	2	no	—
86	C₂×D₄×C₄₇	—	2	2	no	—
87	C₂×D₄×C₄₇	—	2	2	no	—
88	C₂×D₄×C₄₇	—	2	2	no	—
89	C₂×D₄×C₄₇	—	4	1	no	—
90	C₂×D₄×C₄₇	—	4	1	no	—
91	C₂×D₄×C₄₇	—	4	1	no	—
92	C₂×D₄×C₄₇	—	4	2	no	—
93	C₂×D₄×C₄₇	—	4	2	no	—
94	C₂×D₄×C₄₇	—	4	2	no	—
95	C₂×D₄×C₄₇	—	4	2	no	—
96	C₂×D₄×C₄₇	—	8	2	no	—
97	C₂²×C₄×C₄₇	—	4	1	no	—
98	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
100	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
101	C₂²×Dic₄₇	—	2	1	no	—
102	C₂²×Dic₄₇	—	2	1	no	—
103	C₂×Dic₉₄	—	2	2	no	—
104	C₂×Dic₉₄	—	2	2	no	—
105	C₂×Dic₉₄	—	2	1	no	—
106	C₂×Dic₉₄	C₂×D₄	1	2	yes	—
107	C₂×C₈×C₄₇	—	2	2	no	—
108	C₂×C₈×C₄₇	—	2	2	no	—
109	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
110	C₂×C₈×C₄₇	C₂×D₄	1	2	yes	—
111	C₄⋊C₄×C₄₇	—	2	2	no	—
112	C₄⋊C₄×C₄₇	—	2	2	no	—
113	C₄⋊C₄×C₄₇	—	4	1	no	—
114	C₄⋊C₄×C₄₇	—	4	1	no	—
115	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
116	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₄₇	#41	1	1	yes	characteristic
118	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
119	#10625337	—	4	8	no	—
120	#10625335	—	4	8	no	—
121	C₄⋊Dic₄₇	—	2	1	no	—
122	C₄⋊Dic₄₇	C₂×D₄	1	2	yes	—
123	Dic₄₇⋊C₄	—	2	2	no	—
124	Dic₄₇⋊C₄	—	2	2	no	—
125	C₄×Dic₄₇	—	2	2	no	—
126	C₄×Dic₄₇	—	2	2	no	—
127	C₂×C₄₇⋊C₈	—	2	2	no	—
128	C₂×C₄₇⋊C₈	—	2	2	no	—
129	C₂×C₄₇⋊C₈	—	2	2	no	—
130	C₂×C₄₇⋊C₈	—	4	2	no	—
131	C₂×C₄₇⋊C₈	—	4	2	no	—
132	C₂×C₄₇⋊C₈	—	4	2	no	—
133	C₂³×C₄₇	—	4	2	no	—
134	C₂³×C₄₇	—	8	2	no	—
135	C₂³×C₄₇	—	8	2	no	—
136	C₂³×C₄₇	—	8	2	no	—
137	C₂³×C₄₇	#121	1	1	yes	characteristic
138	Q₈×C₄₇	—	4	2	no	—
139	Q₈×C₄₇	—	4	2	no	—
140	Q₈×C₄₇	—	8	2	no	—
141	D₄×C₄₇	—	4	2	no	—
142	D₄×C₄₇	—	4	2	no	—
143	D₄×C₄₇	—	4	2	no	—
144	D₄×C₄₇	—	4	2	no	—
145	D₄×C₄₇	—	8	2	no	—
146	D₄×C₄₇	—	8	2	no	—
147	D₄×C₄₇	—	8	2	no	—
148	D₄×C₄₇	—	8	2	no	—
149	C₂×C₄×C₄₇	—	2	2	no	—
150	C₂×C₄×C₄₇	—	4	2	no	—
151	C₂×C₄×C₄₇	—	8	2	no	—
152	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
153	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
154	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
155	C₂×C₄×C₄₇	#135	1	2	yes	—
156	C₂×C₄×C₄₇	AGL(1,ℤ/8)	1	2	yes	—
157	C₂×C₄×C₄₇	AGL(1,ℤ/8)	1	2	yes	—
158	C₂×C₄×C₄₇	#137	1	2	yes	—
159	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
160	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
161	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
162	C₂×Dic₄₇	—	2	2	no	—
163	C₂×Dic₄₇	—	2	2	no	—
164	C₂×Dic₄₇	—	4	2	no	—
165	C₂×Dic₄₇	—	4	2	no	—
166	Dic₉₄	—	2	2	no	—
167	Dic₉₄	—	2	2	no	—
168	Dic₉₄	—	4	2	no	—
169	C₈×C₄₇	—	2	2	no	—
170	C₈×C₄₇	—	2	2	no	—
171	C₄₇⋊C₈	—	4	2	no	—
172	C₄₇⋊C₈	—	4	2	no	—
173	C₄₇⋊C₈	—	4	2	no	—
174	C₂×#1702	—	47	1	no	maximal, Sylow
175	C₂²×C₄₇	—	8	2	no	—
176	C₂²×C₄₇	—	8	2	no	—
177	C₂²×C₄₇	—	8	2	no	—
178	C₂²×C₄₇	—	16	4	no	—
179	C₂²×C₄₇	#464	1	2	yes	—
180	C₂²×C₄₇	#469	1	2	yes	—
181	C₂²×C₄₇	#471	1	2	yes	—
182	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
183	C₄×C₄₇	—	2	1	no	—
184	C₄×C₄₇	—	2	1	no	—
185	C₄×C₄₇	—	8	2	no	—
186	C₄×C₄₇	#464	1	2	yes	—
187	C₄×C₄₇	#469	1	2	yes	—
188	C₄×C₄₇	C₂×#135	1	1	yes	characteristic
189	C₄×C₄₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
190	C₄×C₄₇	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
191	C₄×C₄₇	C₂×#137	1	1	yes	characteristic
192	Dic₄₇	—	4	2	no	—
193	Dic₄₇	—	4	2	no	—
194	C₂×#486	D₄₇	1	1	yes	characteristic
195	C₂×#462	—	47	1	no	—
196	C₂×#460	—	47	1	no	—
197	C₂×#446	—	47	1	no	—
198	#1702	—	47	8	no	—
199	C₂×#334	—	47	1	no	—
200	C₂×#332	—	47	1	no	—
201	C₂×#331	—	47	1	no	—
202	C₂×C₄₇	—	16	2	no	—
203	C₂×C₄₇	#1702	1	4	yes	complemented
204	C₂×C₄₇	C₂×#464	1	1	yes	characteristic
205	C₂×C₄₇	C₂×#469	1	1	yes	characteristic
206	C₂×C₄₇	C₂×#471	1	1	yes	characteristic
207	C₂²×Q₁₆	—	94	1	no	—
208	C₂²×SD₁₆	—	94	1	no	—
209	C₂×C₄⋊Q₈	C₂×D₄₇	1	1	yes	characteristic
210	C₂×#127	C₂×D₄₇	1	1	yes	characteristic
211	C₂×C₄×Q₈	—	47	1	no	—
212	#486	—	2	2	no	—
213	#486	C₂×D₄₇	1	4	yes	—
214	#462	—	47	4	no	—
215	#462	—	94	2	no	—
216	#460	—	47	4	no	—
217	#460	—	94	2	no	—
218	#446	—	47	4	no	—
219	#446	—	94	2	no	—
220	C₂×C₄⋊C₈	—	47	1	no	—
221	C₂×C₄⋊C₈	—	47	1	no	—
222	C₂×C₄⋊C₈	—	47	1	no	—
223	C₂×C₄⋊C₈	—	94	1	no	—
224	C₂×#103	—	94	1	no	—
225	C₂×#102	—	2	1	no	—
226	C₂×#102	—	2	1	no	—
227	C₂×#102	—	94	1	no	—
228	C₂×#97	—	94	1	no	—
229	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
230	#334	—	47	4	no	—
231	#332	—	47	4	no	—
232	#331	—	47	4	no	—
233	C₄₇	C₂×#1702	1	1	yes	characteristic, complemented, Sylow
234	C₂²×Q₈	—	2	1	no	—
235	C₂²×Q₈	—	47	1	no	—
236	C₂²×D₄	—	2	1	no	—
237	C₂²×D₄	—	2	1	no	—
238	C₂²×D₄	—	2	1	no	—
239	C₂×Q₁₆	—	94	4	no	—
240	C₂×Q₁₆	—	188	4	no	—
241	C₂×SD₁₆	—	94	4	no	—
242	C₂×SD₁₆	—	188	4	no	—
243	C₂²×C₈	—	94	1	no	—
244	C₂²×C₈	—	94	1	no	—
245	C₂²×C₈	—	94	1	no	—
246	C₂²×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
247	C₂²×C₈	C₂²⋊D₄₇	1	1	yes	characteristic
248	C₄⋊Q₈	—	2	1	no	—
249	C₄⋊Q₈	—	2	1	no	—
250	C₄⋊Q₈	—	2	1	no	—
251	C₄⋊Q₈	C₂²×D₄₇	1	2	yes	—
252	#127	—	2	1	no	—
253	#127	—	2	1	no	—
254	#127	—	2	1	no	—
255	#127	C₂²×D₄₇	1	2	yes	—
256	C₄×Q₈	—	47	2	no	—
257	C₄×Q₈	—	47	2	no	—
258	C₄×Q₈	—	94	1	no	—
259	C₄×Q₈	—	94	1	no	—
260	C₂×C₄⋊C₄	—	2	1	no	—
261	C₂×C₄⋊C₄	—	2	1	no	—
262	C₂×C₄⋊C₄	—	47	1	no	—
263	C₂×C₄⋊C₄	—	94	1	no	—
264	C₂×C₄²	—	94	1	no	—
265	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
266	C₄⋊C₈	—	47	2	no	—
267	C₄⋊C₈	—	47	2	no	—
268	C₄⋊C₈	—	47	2	no	—
269	C₄⋊C₈	—	94	4	no	—
270	C₄⋊C₈	—	94	1	no	—
271	C₄⋊C₈	—	94	1	no	—
272	C₄⋊C₈	—	94	1	no	—
273	#103	—	94	4	no	—
274	#102	—	2	4	no	—
275	#102	—	2	4	no	—
276	#102	—	94	4	no	—
277	#97	—	94	4	no	—
278	C₄×C₈	C₂²⋊D₄₇	1	2	yes	—
279	C₄×C₈	C₂²×D₄₇	1	2	yes	—
280	C₂⁴	—	4	1	no	—
281	C₂×Q₈	—	2	2	no	—
282	C₂×Q₈	—	4	1	no	—
283	C₂×Q₈	—	4	2	no	—
284	C₂×Q₈	—	4	2	no	—
285	C₂×Q₈	—	47	2	no	—
286	C₂×Q₈	—	94	1	no	—
287	C₂×Q₈	—	94	2	no	—
288	C₂×Q₈	—	94	2	no	—
289	C₂×D₄	—	2	2	no	—
290	C₂×D₄	—	2	2	no	—
291	C₂×D₄	—	2	2	no	—
292	C₂×D₄	—	4	1	no	—
293	C₂×D₄	—	4	1	no	—
294	C₂×D₄	—	4	1	no	—
295	C₂×D₄	—	4	2	no	—
296	C₂×D₄	—	4	2	no	—
297	C₂×D₄	—	4	2	no	—
298	C₂×D₄	—	4	2	no	—
299	C₂×D₄	—	8	2	no	—
300	C₂²×C₄	—	4	1	no	—
301	C₂²×C₄	—	94	1	no	—
302	C₂²×C₄	—	94	1	no	—
303	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
304	C₂²×C₄	#10625352	1	1	yes	characteristic
305	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
306	Q₁₆	—	188	8	no	—
307	SD₁₆	—	188	8	no	—
308	C₂×C₈	—	2	2	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	94	2	no	—
311	C₂×C₈	—	94	2	no	—
312	C₂×C₈	—	94	2	no	—
313	C₂×C₈	—	188	2	no	—
314	C₂×C₈	—	188	2	no	—
315	C₂×C₈	—	188	2	no	—
316	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
317	C₂×C₈	C₂×C₂²⋊D₄₇	1	2	yes	—
318	C₄⋊C₄	—	2	2	no	—
319	C₄⋊C₄	—	2	2	no	—
320	C₄⋊C₄	—	4	1	no	—
321	C₄⋊C₄	—	4	1	no	—
322	C₄⋊C₄	—	47	2	no	—
323	C₄⋊C₄	—	94	2	no	—
324	C₄⋊C₄	—	94	1	no	—
325	C₄⋊C₄	—	94	2	no	—
326	C₄²	—	94	2	no	—
327	C₄²	—	94	2	no	—
328	C₄²	D₄×D₄₇	1	1	yes	characteristic
329	C₄²	#10625352	1	1	yes	characteristic
330	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
331	C₄²	C₂³×D₄₇	1	1	yes	characteristic
332	C₂³	—	4	2	no	—
333	C₂³	—	8	2	no	—
334	C₂³	—	8	2	no	—
335	C₂³	—	8	2	no	—
336	C₂³	#13093995	1	1	yes	characteristic
337	Q₈	—	4	2	no	—
338	Q₈	—	4	2	no	—
339	Q₈	—	8	2	no	—
340	Q₈	—	94	2	no	—
341	Q₈	—	94	2	no	—
342	Q₈	—	188	2	no	—
343	D₄	—	4	2	no	—
344	D₄	—	4	2	no	—
345	D₄	—	4	2	no	—
346	D₄	—	4	2	no	—
347	D₄	—	8	2	no	—
348	D₄	—	8	2	no	—
349	D₄	—	8	2	no	—
350	D₄	—	8	2	no	—
351	C₂×C₄	—	2	2	no	—
352	C₂×C₄	—	4	2	no	—
353	C₂×C₄	—	8	2	no	—
354	C₂×C₄	—	94	2	no	—
355	C₂×C₄	—	94	2	no	—
356	C₂×C₄	—	188	2	no	—
357	C₂×C₄	—	188	2	no	—
358	C₂×C₄	#13093995	1	1	yes	characteristic
359	C₂×C₄	#13093995	1	1	yes	characteristic
360	C₂×C₄	#13093995	1	1	yes	characteristic
361	C₂×C₄	#13094044	1	2	yes	—
362	C₂×C₄	#13094048	1	2	yes	—
363	C₂×C₄	#13094048	1	2	yes	—
364	C₂×C₄	#13094054	1	2	yes	—
365	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
366	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
367	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
368	C₈	—	2	2	no	—
369	C₈	—	2	2	no	—
370	C₈	—	188	2	no	—
371	C₈	—	188	2	no	—
372	C₈	—	188	2	no	—
373	C₂²	—	8	2	no	—
374	C₂²	—	8	2	no	—
375	C₂²	—	8	2	no	—
376	C₂²	—	16	4	no	—
377	C₂²	#15689342	1	2	yes	—
378	C₂²	#15689373	1	2	yes	—
379	C₂²	#15689383	1	2	yes	—
380	C₂²	C₂×#13093995	1	1	yes	characteristic
381	C₄	—	2	1	no	—
382	C₄	—	2	1	no	—
383	C₄	—	8	2	no	—
384	C₄	—	188	2	no	—
385	C₄	—	188	2	no	—
386	C₄	#15689342	1	2	yes	—
387	C₄	#15689373	1	2	yes	—
388	C₄	C₂×#13094044	1	1	yes	characteristic
389	C₄	C₂×#13094048	1	1	yes	characteristic
390	C₄	C₂×#13094048	1	1	yes	characteristic
391	C₄	C₂×#13094054	1	1	yes	characteristic
392	C₂	—	16	2	no	—
393	C₂	#20242953	1	4	yes	direct product factor
394	C₂	C₂×#15689342	1	1	yes	characteristic
395	C₂	C₂×#15689373	1	1	yes	characteristic
396	C₂	C₂×#15689383	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#13093995
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting	C₂×C₄₇×#486	C₂
socle	C₂³×C₄₇	#121
prime radical	C₂×#127×C₄₇	C₂²
hypercenter	C₂×#486	D₄₇
hypocenter	C₄₇	C₂×#1702
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#486

Complements

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

N	H ≅ G/N	type
1. C₂×#15689330	C₂	semidirect
3. C₂×#15689253	C₂	semidirect
4. #20242953	C₂	direct (N × H)
5. C₂×#15688874	C₂	semidirect
6. C₂×#15688869	C₂	semidirect
13. #15689330	C₂²	semidirect
17. #15689253	C₂²	semidirect
25. #15688874	C₂²	semidirect
26. #15688869	C₂²	semidirect
203. C₂×C₄₇	#1702	semidirect
233. C₄₇	C₂×#1702	semidirect
393. C₂	#20242953	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×#15689330	2
C₂×#15689320	2
C₂×#15689253	2
#20242953	2
C₂×#15688874	2
C₂×#15688869	2
C₂×#15688867	2
C₂×C₄₇×#486	2
C₂×#1702	47

Subgroups — C2×#20242953 #26198939

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#20242953 #26198939