Subgroups — #26109114

Order 12032.

598 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×C₄×C₈×D₄₇	C₂	1	1	yes	maximal, characteristic
2	#20243365	C₂	1	2	yes	maximal
3	C₂×#15688876	C₂	1	1	yes	maximal, characteristic, complemented
4	#20241222	C₂	1	2	yes	maximal, complemented
5	C₂×C₄₇×#335	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×C₈×D₄₇	C₄	1	1	yes	characteristic
7	C₂²×C₈×D₄₇	C₄	1	1	yes	characteristic
8	C₂×C₄²×D₄₇	C₂²	1	1	yes	characteristic
9	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
10	C₂×(C₂×D₄₇)⋊C₈	—	2	2	no	—
11	C₂×C₄×C₄₇⋊C₈	C₂²	1	1	yes	characteristic
12	C₂×C₈×Dic₄₇	C₄	1	1	yes	characteristic
13	C₂×C₈×Dic₄₇	C₄	1	1	yes	characteristic
14	C₄×C₈×D₄₇	—	2	2	no	—
15	C₄×C₈×D₄₇	—	2	2	no	—
16	#15688877	—	2	2	no	—
17	#15688876	—	2	2	no	—
18	C₂×C₄⋊C₈×C₄₇	C₂²	1	2	yes	—
19	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
20	C₄₇×#335	—	2	2	no	—
21	C₂²×C₄×D₄₇	C₂×C₄	1	1	yes	characteristic
22	C₂²×C₄×D₄₇	D₄	1	1	yes	characteristic
23	C₂²×C₄×D₄₇	Q₈	1	1	yes	characteristic
24	C₂²×C₄₇⋊C₈	—	2	2	no	—
25	C₂²×C₄₇⋊C₈	C₂×C₄	1	1	yes	characteristic
26	C₂²×C₄₇⋊C₈	C₂×C₄	1	1	yes	characteristic
27	C₂×C₈×D₄₇	—	2	2	no	—
28	C₂×C₈×D₄₇	—	2	2	no	—
29	C₂×C₈×D₄₇	—	2	2	no	—
30	C₂×C₈×D₄₇	—	2	2	no	—
31	C₂×C₈×D₄₇	—	2	2	no	—
32	C₂×C₈×D₄₇	C₈	1	4	yes	complemented
33	C₂×C₄×Dic₄₇	C₂×C₄	1	1	yes	characteristic
34	C₂×C₄×Dic₄₇	D₄	1	1	yes	characteristic
35	C₂×C₄×Dic₄₇	Q₈	1	1	yes	characteristic
36	C₄²×D₄₇	—	2	1	no	—
37	C₄²×D₄₇	—	2	1	no	—
38	C₄²×D₄₇	—	2	1	no	—
39	C₄²×D₄₇	—	2	1	no	—
40	C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
41	C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
42	(C₂×D₄₇)⋊C₈	—	4	4	no	—
43	C₄×C₄₇⋊C₈	—	2	1	no	—
44	C₄×C₄₇⋊C₈	—	2	1	no	—
45	C₈×Dic₄₇	—	2	2	no	—
46	C₈×Dic₄₇	—	2	2	no	—
47	C₂²×C₈×C₄₇	—	2	2	no	—
48	C₂²×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
49	C₂²×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
50	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
51	C₄⋊C₈×C₄₇	—	2	2	no	—
52	C₄⋊C₈×C₄₇	—	2	2	no	—
53	C₄×C₈×C₄₇	D₄	1	2	yes	—
54	C₄×C₈×C₄₇	D₄	1	2	yes	—
55	C₂³×D₄₇	C₄⋊C₄	1	1	yes	characteristic
56	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
57	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
58	C₂²×C₄×C₄₇	C₂×Q₈	1	1	yes	characteristic
59	C₂²×Dic₄₇	C₄⋊C₄	1	1	yes	characteristic
60	C₂²×Dic₄₇	C₄⋊C₄	1	1	yes	characteristic
61	C₂²×Dic₄₇	C₄⋊C₄	1	1	yes	characteristic
62	C₂×C₄×D₄₇	—	2	2	no	—
63	C₂×C₄×D₄₇	—	2	1	no	—
64	C₂×C₄×D₄₇	—	2	1	no	—
65	C₂×C₄×D₄₇	—	2	1	no	—
66	C₂×C₄×D₄₇	—	2	1	no	—
67	C₂×C₄×D₄₇	—	2	1	no	—
68	C₂×C₄×D₄₇	—	2	1	no	—
69	C₂×C₄×D₄₇	—	2	1	no	—
70	C₂×C₄×D₄₇	—	2	1	no	—
71	C₂×C₄×D₄₇	—	2	1	no	—
72	C₂×C₄×D₄₇	—	2	1	no	—
73	C₂×C₄×D₄₇	—	2	2	no	—
74	C₂×C₄×D₄₇	C₂×C₈	1	2	yes	—
75	C₂×C₄×D₄₇	M₁₆	1	2	yes	—
76	C₂×C₄×D₄₇	D₈	1	2	yes	—
77	C₂×C₄×D₄₇	Q₁₆	1	2	yes	—
78	C₂×C₈×C₄₇	—	2	1	no	—
79	C₂×C₈×C₄₇	—	2	1	no	—
80	C₂×C₈×C₄₇	—	4	2	no	—
81	C₂×C₈×C₄₇	—	4	2	no	—
82	C₂×C₈×C₄₇	—	4	2	no	—
83	C₂×C₈×C₄₇	C₂²⋊C₄	1	2	yes	—
84	C₂×C₈×C₄₇	C₂²⋊C₄	1	2	yes	—
85	C₂×C₈×C₄₇	C₂×C₈	1	2	yes	—
86	C₂×C₈×C₄₇	M₁₆	1	2	yes	—
87	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
88	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
89	C₄²×C₄₇	#41	1	1	yes	characteristic
90	C₄²×C₄₇	#41	1	1	yes	characteristic
91	C₄×Dic₄₇	—	2	1	no	—
92	C₄×Dic₄₇	—	2	1	no	—
93	C₄×Dic₄₇	—	2	1	no	—
94	C₄×Dic₄₇	—	2	1	no	—
95	C₄×Dic₄₇	—	2	1	no	—
96	C₄×Dic₄₇	—	2	1	no	—
97	C₂×C₄₇⋊C₈	—	2	1	no	—
98	C₂×C₄₇⋊C₈	—	2	1	no	—
99	C₂×C₄₇⋊C₈	—	2	1	no	—
100	C₂×C₄₇⋊C₈	—	2	1	no	—
101	C₂×C₄₇⋊C₈	—	4	2	no	—
102	C₂×C₄₇⋊C₈	—	4	2	no	—
103	C₂×C₄₇⋊C₈	—	4	2	no	—
104	C₂×C₄₇⋊C₈	C₂×C₈	1	2	yes	—
105	C₂×C₄₇⋊C₈	M₁₆	1	2	yes	—
106	C₈×D₄₇	—	2	8	no	—
107	C₈×D₄₇	—	2	8	no	—
108	C₂³×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
109	C₂²×D₄₇	—	2	1	no	—
110	C₂²×D₄₇	—	2	1	no	—
111	C₂²×D₄₇	—	2	1	no	—
112	C₂²×D₄₇	—	2	1	no	—
113	C₂²×D₄₇	C₄⋊C₈	1	2	yes	—
114	C₂²×D₄₇	#107	1	2	yes	—
115	C₂²×D₄₇	#108	1	2	yes	—
116	C₂×C₄×C₄₇	—	2	1	no	—
117	C₂×C₄×C₄₇	—	2	1	no	—
118	C₂×C₄×C₄₇	C₂×C₂²⋊C₄	1	1	yes	characteristic
119	C₂×C₄×C₄₇	#117	1	1	yes	characteristic
120	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
121	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
122	C₂×C₄×C₄₇	C₂²⋊Q₈	1	1	yes	characteristic
123	C₂×C₄×C₄₇	C₂²⋊Q₈	1	1	yes	characteristic
124	C₂×C₄×C₄₇	C₂²×C₈	1	1	yes	characteristic
125	C₂×C₄×C₄₇	C₂×M₁₆	1	1	yes	characteristic
126	C₂×C₄×C₄₇	C₂×M₁₆	1	1	yes	characteristic
127	C₂×C₄×C₄₇	C₂×M₁₆	1	1	yes	characteristic
128	C₂×C₄×C₄₇	C₂×D₈	1	1	yes	characteristic
129	C₂×C₄×C₄₇	C₂×Q₁₆	1	1	yes	characteristic
130	C₂×C₄×C₄₇	#135	1	1	yes	characteristic
131	C₂×C₄×C₄₇	#135	1	1	yes	characteristic
132	C₂×Dic₄₇	—	2	1	no	—
133	C₂×Dic₄₇	—	2	1	no	—
134	C₂×Dic₄₇	—	2	1	no	—
135	C₂×Dic₄₇	—	2	1	no	—
136	C₂×Dic₄₇	—	2	1	no	—
137	C₂×Dic₄₇	—	2	1	no	—
138	C₂×Dic₄₇	C₄⋊C₈	1	2	yes	—
139	C₂×Dic₄₇	#107	1	2	yes	—
140	C₂×Dic₄₇	#108	1	2	yes	—
141	C₄×D₄₇	—	2	4	no	—
142	C₄×D₄₇	—	2	4	no	—
143	C₄×D₄₇	—	2	2	no	—
144	C₄×D₄₇	—	2	2	no	—
145	C₄×D₄₇	—	2	2	no	—
146	C₄×D₄₇	—	2	2	no	—
147	C₄×D₄₇	—	2	2	no	—
148	C₄×D₄₇	—	2	2	no	—
149	C₄×D₄₇	—	2	2	no	—
150	C₄×D₄₇	—	2	2	no	—
151	C₈×C₄₇	—	2	2	no	—
152	C₈×C₄₇	—	8	2	no	—
153	C₈×C₄₇	C₂²⋊C₈	1	4	yes	complemented
154	C₄₇⋊C₈	—	2	2	no	—
155	C₄₇⋊C₈	—	2	2	no	—
156	C₄₇⋊C₈	—	8	2	no	—
157	#8596	—	47	1	no	maximal, Sylow
158	C₂²×C₄₇	#380	1	1	yes	characteristic
159	C₂²×C₄₇	C₂×C₄⋊C₈	1	1	yes	characteristic
160	C₂²×C₄₇	#423	1	1	yes	characteristic
161	C₂²×C₄₇	C₂×#107	1	1	yes	characteristic
162	C₂²×C₄₇	#427	1	1	yes	characteristic
163	C₂²×C₄₇	C₂×#108	1	1	yes	characteristic
164	C₂²×C₄₇	C₂×#108	1	1	yes	characteristic
165	C₂×D₄₇	—	2	2	no	—
166	C₂×D₄₇	—	2	2	no	—
167	C₂×D₄₇	—	2	2	no	—
168	C₂×D₄₇	—	2	2	no	—
169	C₂×D₄₇	—	2	2	no	—
170	C₂×D₄₇	—	2	2	no	—
171	C₂×D₄₇	#335	1	4	yes	complemented
172	C₄×C₄₇	—	2	1	no	—
173	C₄×C₄₇	—	2	1	no	—
174	C₄×C₄₇	C₂×C₂²⋊C₈	1	1	yes	characteristic
175	C₄×C₄₇	#407	1	1	yes	characteristic
176	C₄×C₄₇	#431	1	1	yes	characteristic
177	C₄×C₄₇	#432	1	1	yes	characteristic
178	C₄×C₄₇	#466	1	1	yes	characteristic
179	C₄×C₄₇	#466	1	1	yes	characteristic
180	C₄×C₄₇	#467	1	1	yes	characteristic
181	C₄×C₄₇	#467	1	1	yes	characteristic
182	Dic₄₇	—	2	2	no	—
183	Dic₄₇	—	2	2	no	—
184	Dic₄₇	—	2	2	no	—
185	C₂²×C₄×C₈	—	47	1	no	—
186	#1797	—	47	2	no	—
187	C₂×#335	—	47	1	no	—
188	C₂×#335	D₄₇	1	1	yes	characteristic, complemented
189	#1277	—	47	2	no	—
190	C₂×C₄₇	C₂×#335	1	1	yes	characteristic
191	C₂×C₄₇	#1564	1	1	yes	characteristic
192	C₂×C₄₇	#1567	1	1	yes	characteristic
193	C₂×C₄₇	#1568	1	1	yes	characteristic
194	C₂×C₄₇	#1797	1	1	yes	characteristic
195	C₂×C₄₇	#1808	1	1	yes	characteristic
196	C₂×C₄₇	#1810	1	1	yes	characteristic
197	D₄₇	—	2	4	no	—
198	C₂³×C₈	—	47	1	no	—
199	C₂³×C₈	—	47	1	no	—
200	C₂²×C₄²	—	47	1	no	—
201	C₂×C₄⋊C₈	—	47	2	no	—
202	C₂×C₄⋊C₈	C₂×D₄₇	1	2	yes	—
203	C₂×C₂²⋊C₈	—	94	2	no	—
204	C₂×C₄×C₈	—	47	1	no	—
205	C₂×C₄×C₈	—	47	1	no	—
206	C₂×C₄×C₈	—	47	1	no	—
207	C₂×C₄×C₈	—	94	2	no	—
208	C₂×C₄×C₈	—	94	2	no	—
209	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
210	#336	—	94	2	no	—
211	#335	—	2	2	no	—
212	#335	—	94	2	no	—
213	C₄₇	#8596	1	1	yes	characteristic, complemented, Sylow
214	C₂³×C₄	—	47	1	no	—
215	C₂³×C₄	—	47	1	no	—
216	C₂³×C₄	—	47	1	no	—
217	C₂²×C₈	—	2	2	no	—
218	C₂²×C₈	—	47	1	no	—
219	C₂²×C₈	—	47	1	no	—
220	C₂²×C₈	—	47	4	no	—
221	C₂²×C₈	—	94	2	no	—
222	C₂²×C₈	—	94	2	no	—
223	C₂²×C₈	—	94	2	no	—
224	C₂²×C₈	—	94	2	no	—
225	C₂²×C₈	—	94	2	no	—
226	C₂²×C₈	—	94	2	no	—
227	C₂²×C₈	C₄×D₄₇	1	1	yes	characteristic
228	C₂²×C₈	C₄×D₄₇	1	1	yes	characteristic
229	C₂×C₄²	—	47	1	no	—
230	C₂×C₄²	—	47	1	no	—
231	C₂×C₄²	—	47	1	no	—
232	C₂×C₄²	—	94	1	no	—
233	C₂×C₄²	—	94	1	no	—
234	C₂×C₄²	—	94	1	no	—
235	C₂×C₄²	—	94	1	no	—
236	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
237	C₄⋊C₈	—	2	2	no	—
238	C₄⋊C₈	—	2	2	no	—
239	C₄⋊C₈	—	94	2	no	—
240	C₄⋊C₈	—	94	2	no	—
241	C₂²⋊C₈	—	188	4	no	—
242	C₄×C₈	—	94	2	no	—
243	C₄×C₈	—	94	2	no	—
244	C₄×C₈	—	94	1	no	—
245	C₄×C₈	—	94	1	no	—
246	C₄×C₈	D₁₈₈	1	2	yes	—
247	C₄×C₈	C₂²⋊D₄₇	1	2	yes	—
248	C₂⁴	—	47	1	no	—
249	C₂²×C₄	—	47	1	no	—
250	C₂²×C₄	—	47	1	no	—
251	C₂²×C₄	—	47	1	no	—
252	C₂²×C₄	—	47	2	no	—
253	C₂²×C₄	—	47	2	no	—
254	C₂²×C₄	—	47	2	no	—
255	C₂²×C₄	—	47	2	no	—
256	C₂²×C₄	—	94	2	no	—
257	C₂²×C₄	—	94	2	no	—
258	C₂²×C₄	—	94	1	no	—
259	C₂²×C₄	—	94	1	no	—
260	C₂²×C₄	—	94	1	no	—
261	C₂²×C₄	—	94	1	no	—
262	C₂²×C₄	—	94	1	no	—
263	C₂²×C₄	—	94	1	no	—
264	C₂²×C₄	—	94	1	no	—
265	C₂²×C₄	—	94	1	no	—
266	C₂²×C₄	—	94	1	no	—
267	C₂²×C₄	—	94	1	no	—
268	C₂²×C₄	C₂×C₄×D₄₇	1	1	yes	characteristic
269	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
270	C₂²×C₄	Q₈×D₄₇	1	1	yes	characteristic
271	C₂×C₈	—	2	1	no	—
272	C₂×C₈	—	2	1	no	—
273	C₂×C₈	—	4	2	no	—
274	C₂×C₈	—	4	2	no	—
275	C₂×C₈	—	4	2	no	—
276	C₂×C₈	—	47	2	no	—
277	C₂×C₈	—	47	2	no	—
278	C₂×C₈	—	94	8	no	—
279	C₂×C₈	—	94	1	no	—
280	C₂×C₈	—	94	1	no	—
281	C₂×C₈	—	94	1	no	—
282	C₂×C₈	—	94	1	no	—
283	C₂×C₈	—	94	8	no	—
284	C₂×C₈	—	188	2	no	—
285	C₂×C₈	—	188	2	no	—
286	C₂×C₈	—	188	2	no	—
287	C₂×C₈	C₈×D₄₇	1	2	yes	—
288	C₂×C₈	#10625324	1	2	yes	—
289	C₂×C₈	(C₂×D₄₇)⋊C₄	1	2	yes	—
290	C₂×C₈	(C₂×D₄₇)⋊C₄	1	2	yes	—
291	C₄²	—	94	1	no	—
292	C₄²	—	94	1	no	—
293	C₄²	—	94	1	no	—
294	C₄²	—	94	1	no	—
295	C₄²	—	94	1	no	—
296	C₄²	—	94	1	no	—
297	C₄²	C₂×D₁₈₈	1	1	yes	characteristic
298	C₄²	#10625352	1	1	yes	characteristic
299	C₄²	#10625354	1	1	yes	characteristic
300	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
301	C₂³	—	47	2	no	—
302	C₂³	—	47	2	no	—
303	C₂³	—	47	2	no	—
304	C₂³	—	94	1	no	—
305	C₂³	—	94	1	no	—
306	C₂³	—	94	1	no	—
307	C₂³	—	94	1	no	—
308	C₂³	C₄⋊C₄×D₄₇	1	1	yes	characteristic
309	C₂×C₄	—	2	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	47	2	no	—
312	C₂×C₄	—	47	2	no	—
313	C₂×C₄	—	47	2	no	—
314	C₂×C₄	—	94	4	no	—
315	C₂×C₄	—	94	4	no	—
316	C₂×C₄	—	94	1	no	—
317	C₂×C₄	—	94	1	no	—
318	C₂×C₄	—	94	1	no	—
319	C₂×C₄	—	94	1	no	—
320	C₂×C₄	—	94	1	no	—
321	C₂×C₄	—	94	1	no	—
322	C₂×C₄	—	94	2	no	—
323	C₂×C₄	—	94	2	no	—
324	C₂×C₄	—	94	2	no	—
325	C₂×C₄	—	94	2	no	—
326	C₂×C₄	—	94	2	no	—
327	C₂×C₄	—	94	2	no	—
328	C₂×C₄	—	94	2	no	—
329	C₂×C₄	—	94	2	no	—
330	C₂×C₄	C₂×(C₂×D₄₇)⋊C₄	1	1	yes	characteristic
331	C₂×C₄	#13093982	1	1	yes	characteristic
332	C₂×C₄	#13093995	1	1	yes	characteristic
333	C₂×C₄	#13093999	1	1	yes	characteristic
334	C₂×C₄	#13094000	1	1	yes	characteristic
335	C₂×C₄	#13094004	1	1	yes	characteristic
336	C₂×C₄	C₂×C₈×D₄₇	1	1	yes	characteristic
337	C₂×C₄	M₁₆×D₄₇	1	1	yes	characteristic
338	C₂×C₄	M₁₆×D₄₇	1	1	yes	characteristic
339	C₂×C₄	C₂×#10625324	1	1	yes	characteristic
340	C₂×C₄	D₈×D₄₇	1	1	yes	characteristic
341	C₂×C₄	Q₁₆×D₄₇	1	1	yes	characteristic
342	C₂×C₄	#13094043	1	1	yes	characteristic
343	C₂×C₄	#13094047	1	1	yes	characteristic
344	C₈	—	2	2	no	—
345	C₈	—	8	2	no	—
346	C₈	—	94	2	no	—
347	C₈	—	94	2	no	—
348	C₈	—	376	2	no	—
349	C₈	(C₂×D₄₇)⋊C₈	1	4	yes	complemented
350	C₂²	—	47	4	no	—
351	C₂²	—	94	2	no	—
352	C₂²	—	94	2	no	—
353	C₂²	—	94	2	no	—
354	C₂²	—	94	2	no	—
355	C₂²	—	94	2	no	—
356	C₂²	—	94	2	no	—
357	C₂²	#15688980	1	1	yes	characteristic
358	C₂²	C₄⋊C₈×D₄₇	1	1	yes	characteristic
359	C₂²	#15689145	1	1	yes	characteristic
360	C₂²	#107×D₄₇	1	1	yes	characteristic
361	C₂²	#15689160	1	1	yes	characteristic
362	C₂²	#108×D₄₇	1	1	yes	characteristic
363	C₂²	#108×D₄₇	1	1	yes	characteristic
364	C₄	—	2	1	no	—
365	C₄	—	2	1	no	—
366	C₄	—	94	2	no	—
367	C₄	—	94	2	no	—
368	C₄	—	94	2	no	—
369	C₄	C₂×(C₂×D₄₇)⋊C₈	1	1	yes	characteristic
370	C₄	#15689086	1	1	yes	characteristic
371	C₄	#15689175	1	1	yes	characteristic
372	C₄	#15689179	1	1	yes	characteristic
373	C₄	#15689356	1	1	yes	characteristic
374	C₄	#15689360	1	1	yes	characteristic
375	C₄	#15689361	1	1	yes	characteristic
376	C₄	#15689365	1	1	yes	characteristic
377	C₂	—	94	4	no	—
378	C₂	#335×D₄₇	1	1	yes	characteristic
379	C₂	#20242135	1	1	yes	characteristic
380	C₂	#20242145	1	1	yes	characteristic
381	C₂	#20242150	1	1	yes	characteristic
382	C₂	#20243365	1	1	yes	characteristic
383	C₂	#20243414	1	1	yes	characteristic
384	C₂	#20243423	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	D₄×D₄₇
commutator	C₂×C₄×C₄₇	C₂²×C₈
Frattini	C₂×C₄²	C₂²×D₄₇
Fitting	C₂×C₄₇×#335	C₂
socle	C₂³×C₄₇	C₂×C₄⋊C₄
prime radical	C₂³×D₄₇	C₄⋊C₄
cosocle	C₂×C₄²×C₄₇	C₂³
hypercenter	C₂×#335	D₄₇
hypocenter	C₄₇	#8596
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄² ◁ C₂×#335

Complements

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

N	H ≅ G/N	type
3. C₂×#15688876	C₂	semidirect
4. #20241222	C₂	semidirect
5. C₂×C₄₇×#335	C₂	semidirect
32. C₂×C₈×D₄₇	C₈	semidirect
153. C₈×C₄₇	C₂²⋊C₈	semidirect
171. C₂×D₄₇	#335	semidirect
188. C₂×#335	D₄₇	semidirect
213. C₄₇	#8596	semidirect
349. C₈	(C₂×D₄₇)⋊C₈	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₄×C₈×D₄₇	2
#20243365	2
C₂×#15688876	2
#20241222	2
C₂×C₄₇×#335	2
#8596	47