Subgroups — #26185617

Order 12032.

594 conjugacy classes of subgroups.

The subgroup lattice has 370 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20252513	C₂	1	2	yes	maximal
2	#20242173	C₂	1	2	yes	maximal, complemented
3	#20242168	C₂	1	2	yes	maximal, complemented
4	#20242163	C₂	1	2	yes	maximal, complemented
5	#20242155	C₂	1	2	yes	maximal, complemented
6	#20242151	C₂	1	1	yes	maximal, characteristic, complemented
7	#20242140	C₂	1	2	yes	maximal, complemented
8	C₂×#15688876	C₂	1	1	yes	maximal, characteristic, complemented
9	C₄₇×#2965	C₂	1	1	yes	maximal, characteristic
10	#15689254	—	2	2	no	—
11	#15689195	—	2	2	no	—
12	#15689195	—	2	2	no	—
13	D₄×C₄₇⋊C₈	—	2	2	no	—
14	#15689180	C₂²	1	2	yes	—
15	#15689180	C₂²	1	2	yes	—
16	#15689176	C₂²	1	2	yes	—
17	#15689147	C₂²	1	2	yes	—
18	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
19	C₂×C₄⋊(C₄₇⋊C₈)	C₂²	1	2	yes	—
20	#15688876	C₂²	1	1	yes	characteristic
21	#15688876	C₂²	1	1	yes	characteristic
22	#15688876	C₂²	1	2	yes	—
23	#15688876	C₂²	1	2	yes	—
24	#15688876	C₂²	1	1	yes	characteristic
25	#15688876	C₂²	1	1	yes	characteristic
26	#15688876	C₂²	1	2	yes	—
27	#15688874	C₂²	1	2	yes	—
28	#15688874	C₂²	1	2	yes	—
29	#15688874	C₂²	1	2	yes	—
30	C₄×#41×C₄₇	C₂²	1	1	yes	characteristic
31	C₄₇×#446	C₄	1	1	yes	characteristic
32	C₄₇×#446	C₄	1	1	yes	characteristic
33	C₄₇×#436	C₄	1	1	yes	characteristic
34	C₄₇×#436	C₄	1	1	yes	characteristic
35	C₄₇×#435	C₄	1	2	yes	—
36	C₄₇×#435	C₄	1	2	yes	—
37	C₄₇×#431	C₂²	1	2	yes	—
38	C₄₇×#431	C₂²	1	1	yes	characteristic
39	C₄×M₁₆×C₄₇	C₂²	1	2	yes	—
40	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
41	C₂×#10625329	—	2	2	no	—
42	C₂²×C₄₇⋊C₈	—	2	2	no	—
43	C₂²×C₄₇⋊C₈	—	2	2	no	—
44	C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
45	C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
46	C₄⋊(C₄₇⋊C₈)	—	2	2	no	—
47	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
48	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
49	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
50	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
51	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
52	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
53	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
54	#13093935	—	2	2	no	—
55	#13093935	—	2	2	no	—
56	C₄×C₄₇⋊C₈	—	2	2	no	—
57	C₂×#41×C₄₇	Q₈	1	1	yes	characteristic
58	C₂×M₁₆×C₄₇	C₂×C₄	1	2	yes	—
59	C₂×M₁₆×C₄₇	C₂×C₄	1	2	yes	—
60	C₂²×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
61	C₂²×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
62	C₄×Q₈×C₄₇	C₂×C₄	1	1	yes	characteristic
63	C₄×Q₈×C₄₇	D₄	1	1	yes	characteristic
64	C₄×D₄×C₄₇	C₂×C₄	1	2	yes	—
65	C₄×D₄×C₄₇	C₂×C₄	1	1	yes	characteristic
66	C₄×D₄×C₄₇	D₄	1	2	yes	—
67	C₄×D₄×C₄₇	D₄	1	1	yes	characteristic
68	#117×C₄₇	Q₈	1	1	yes	characteristic
69	#117×C₄₇	Q₈	1	2	yes	—
70	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
71	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
72	C₄⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
73	C₄⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
74	C₄⋊C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
75	C₄⋊C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
76	C₂²⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
77	C₂²⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
78	C₂²⋊C₈×C₄₇	C₂×C₄	1	2	yes	—
79	#97×C₄₇	C₂×C₄	1	2	yes	—
80	#97×C₄₇	C₂×C₄	1	2	yes	—
81	C₄×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
82	C₄×C₈×C₄₇	C₂×C₄	1	1	yes	characteristic
83	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
84	C₄×C₈×C₄₇	C₂³	1	2	yes	—
85	C₄×C₈×C₄₇	C₂³	1	1	yes	characteristic
86	#41×C₄₇	—	4	2	no	—
87	C₂×Q₈×C₄₇	C₄⋊C₄	1	1	yes	characteristic
88	C₂×D₄×C₄₇	C₄⋊C₄	1	2	yes	—
89	C₂×D₄×C₄₇	C₄⋊C₄	1	1	yes	characteristic
90	C₂²×C₄×C₄₇	C₂²×C₄	1	1	yes	characteristic
91	C₂²×C₄×C₄₇	C₂²×C₄	1	2	yes	—
92	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
94	C₂²×C₄×C₄₇	C₂×Q₈	1	1	yes	characteristic
95	C₂²×C₄×C₄₇	C₂×Q₈	1	2	yes	—
96	M₁₆×C₄₇	—	2	4	no	—
97	M₁₆×C₄₇	—	4	2	no	—
98	C₂×C₈×C₄₇	—	2	2	no	—
99	C₂×C₈×C₄₇	—	4	1	no	—
100	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
101	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
102	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
103	C₂×C₈×C₄₇	C₂²×C₄	1	2	yes	—
104	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
105	C₂×C₈×C₄₇	C₂²×C₄	1	1	yes	characteristic
106	C₄⋊C₄×C₄₇	C₄⋊C₄	1	2	yes	—
107	C₄⋊C₄×C₄₇	C₄⋊C₄	1	1	yes	characteristic
108	C₄⋊C₄×C₄₇	C₄⋊C₄	1	2	yes	—
109	C₄⋊C₄×C₄₇	C₄⋊C₄	1	1	yes	characteristic
110	C₂²⋊C₄×C₄₇	C₄⋊C₄	1	2	yes	—
111	C₂²⋊C₄×C₄₇	C₄⋊C₄	1	2	yes	—
112	C₂²⋊C₄×C₄₇	C₄⋊C₄	1	2	yes	—
113	C₄²×C₄₇	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₄₇	C₂²×C₄	1	2	yes	—
115	C₄²×C₄₇	C₂×D₄	1	2	yes	—
116	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
117	C₄²×C₄₇	C₂×Q₈	1	1	yes	characteristic
118	C₄²×C₄₇	C₂×Q₈	1	2	yes	—
119	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
120	#10625329	—	8	2	no	—
121	C₂×C₄₇⋊C₈	—	2	2	no	—
122	C₂×C₄₇⋊C₈	—	2	2	no	—
123	C₂×C₄₇⋊C₈	—	2	2	no	—
124	C₂×C₄₇⋊C₈	—	2	2	no	—
125	C₂×C₄₇⋊C₈	—	8	2	no	—
126	C₂×C₄₇⋊C₈	—	8	2	no	—
127	C₂³×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
128	C₂³×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
129	Q₈×C₄₇	—	4	1	no	—
130	D₄×C₄₇	—	2	4	no	—
131	D₄×C₄₇	—	4	1	no	—
132	C₂×C₄×C₄₇	—	2	2	no	—
133	C₂×C₄×C₄₇	—	2	1	no	—
134	C₂×C₄×C₄₇	—	2	2	no	—
135	C₂×C₄×C₄₇	—	2	1	no	—
136	C₂×C₄×C₄₇	—	2	2	no	—
137	C₂×C₄×C₄₇	—	2	1	no	—
138	C₂×C₄×C₄₇	—	2	2	no	—
139	C₂×C₄×C₄₇	—	2	1	no	—
140	C₂×C₄×C₄₇	—	2	2	no	—
141	C₂×C₄×C₄₇	—	4	2	no	—
142	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
143	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
144	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
145	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
146	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	2	yes	—
147	C₂×C₄×C₄₇	C₂×C₄⋊C₄	1	1	yes	characteristic
148	C₂×C₄×C₄₇	C₂³×C₄	1	1	yes	characteristic
149	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
150	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
151	C₈×C₄₇	—	2	1	no	—
152	C₈×C₄₇	—	2	2	no	—
153	C₈×C₄₇	—	2	1	no	—
154	C₈×C₄₇	—	2	1	no	—
155	C₈×C₄₇	—	2	2	no	—
156	C₈×C₄₇	#131	1	2	yes	—
157	C₄₇⋊C₈	—	4	2	no	—
158	C₄₇⋊C₈	—	4	2	no	—
159	C₄₇⋊C₈	—	4	2	no	—
160	C₄₇⋊C₈	—	4	2	no	—
161	#17840	—	47	1	no	maximal, Sylow
162	C₂²×C₄₇	—	2	1	no	—
163	C₂²×C₄₇	—	2	1	no	—
164	C₂²×C₄₇	—	2	2	no	—
165	C₂²×C₄₇	—	2	2	no	—
166	C₂²×C₄₇	—	2	2	no	—
167	C₂²×C₄₇	#430	1	2	yes	—
168	C₂²×C₄₇	C₂²×C₄⋊C₄	1	1	yes	characteristic
169	C₄×C₄₇	—	2	1	no	—
170	C₄×C₄₇	—	2	2	no	—
171	C₄×C₄₇	—	2	1	no	—
172	C₄×C₄₇	—	2	2	no	—
173	C₄×C₄₇	—	2	1	no	—
174	C₄×C₄₇	—	2	1	no	—
175	C₄×C₄₇	—	2	2	no	—
176	C₄×C₄₇	C₂×#131	1	1	yes	characteristic
177	C₄×C₄₇	#568	1	1	yes	characteristic
178	C₄×C₄₇	#576	1	1	yes	characteristic
179	C₄×C₄₇	#578	1	1	yes	characteristic
180	#2990	—	47	2	no	—
181	#2965	D₄₇	1	1	yes	characteristic
182	#1573	—	47	2	no	—
183	#1572	—	47	2	no	—
184	#1571	—	47	2	no	—
185	#1569	—	47	2	no	—
186	#1568	—	47	1	no	—
187	#1565	—	47	2	no	—
188	C₂×#335	—	47	1	no	—
189	C₂×C₄₇	—	2	2	no	—
190	C₂×C₄₇	—	4	2	no	—
191	C₂×C₄₇	#2906	1	1	yes	characteristic
192	C₂×C₄₇	#2913	1	1	yes	characteristic
193	C₂×C₄₇	C₂×#430	1	1	yes	characteristic
194	C₄×#41	C₂×D₄₇	1	1	yes	characteristic
195	#446	—	94	2	no	—
196	#446	Dic₄₇	1	1	yes	characteristic
197	#446	Dic₄₇	1	1	yes	characteristic
198	#436	Dic₄₇	1	1	yes	characteristic
199	#436	Dic₄₇	1	1	yes	characteristic
200	#435	—	94	2	no	—
201	#435	—	94	2	no	—
202	#435	Dic₄₇	1	2	yes	—
203	#435	Dic₄₇	1	2	yes	—
204	C₈×D₄	—	94	2	no	—
205	#432	—	47	2	no	—
206	#432	—	47	2	no	—
207	#431	—	47	2	no	—
208	#431	C₂×D₄₇	1	2	yes	—
209	#431	C₂×D₄₇	1	1	yes	characteristic
210	#423	—	47	2	no	—
211	C₂×C₄⋊C₈	—	47	2	no	—
212	C₂×C₄⋊C₈	—	47	2	no	—
213	C₄×M₁₆	C₂×D₄₇	1	2	yes	—
214	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
215	#335	—	47	1	no	—
216	#335	—	47	1	no	—
217	#335	—	47	2	no	—
218	#335	—	47	2	no	—
219	#335	—	47	1	no	—
220	#335	—	47	1	no	—
221	#335	—	47	2	no	—
222	#334	—	47	2	no	—
223	#334	—	47	2	no	—
224	#334	—	47	2	no	—
225	C₄₇	#17840	1	1	yes	characteristic, complemented, Sylow
226	C₂×#41	Dic₉₄	1	1	yes	characteristic
227	C₂×M₁₆	—	94	2	no	—
228	C₂×M₁₆	C₂×Dic₄₇	1	2	yes	—
229	C₂×M₁₆	C₂×Dic₄₇	1	2	yes	—
230	C₂²×C₈	—	94	2	no	—
231	C₂²×C₈	—	94	2	no	—
232	C₂²×C₈	C₂×Dic₄₇	1	1	yes	characteristic
233	C₂²×C₈	C₂×Dic₄₇	1	1	yes	characteristic
234	C₄×Q₈	D₁₈₈	1	1	yes	characteristic
235	C₄×Q₈	C₂×Dic₄₇	1	1	yes	characteristic
236	C₄×D₄	D₁₈₈	1	2	yes	—
237	C₄×D₄	D₁₈₈	1	1	yes	characteristic
238	C₄×D₄	C₂×Dic₄₇	1	2	yes	—
239	C₄×D₄	C₂×Dic₄₇	1	1	yes	characteristic
240	#117	Dic₉₄	1	1	yes	characteristic
241	#117	Dic₉₄	1	2	yes	—
242	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
243	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
244	C₄⋊C₈	—	47	2	no	—
245	C₄⋊C₈	—	47	2	no	—
246	C₄⋊C₈	—	47	2	no	—
247	C₄⋊C₈	—	47	2	no	—
248	C₄⋊C₈	—	94	2	no	—
249	C₄⋊C₈	—	94	2	no	—
250	C₄⋊C₈	—	94	2	no	—
251	C₄⋊C₈	C₂×Dic₄₇	1	2	yes	—
252	C₄⋊C₈	C₂×Dic₄₇	1	2	yes	—
253	C₄⋊C₈	C₂×Dic₄₇	1	1	yes	characteristic
254	C₄⋊C₈	C₂×Dic₄₇	1	1	yes	characteristic
255	C₂²⋊C₈	—	94	2	no	—
256	C₂²⋊C₈	—	94	2	no	—
257	C₂²⋊C₈	—	94	2	no	—
258	C₂²⋊C₈	C₂×Dic₄₇	1	2	yes	—
259	C₂²⋊C₈	C₂×Dic₄₇	1	2	yes	—
260	C₂²⋊C₈	C₂×Dic₄₇	1	2	yes	—
261	#97	—	94	2	no	—
262	#97	—	94	2	no	—
263	#97	C₂×Dic₄₇	1	2	yes	—
264	#97	C₂×Dic₄₇	1	2	yes	—
265	C₄×C₈	—	94	2	no	—
266	C₄×C₈	C₂×Dic₄₇	1	1	yes	characteristic
267	C₄×C₈	C₂×Dic₄₇	1	1	yes	characteristic
268	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
269	C₄×C₈	C₂²×D₄₇	1	2	yes	—
270	C₄×C₈	C₂²×D₄₇	1	1	yes	characteristic
271	#41	—	4	2	no	—
272	C₂×Q₈	C₄⋊Dic₄₇	1	1	yes	characteristic
273	C₂×D₄	C₄⋊Dic₄₇	1	2	yes	—
274	C₂×D₄	C₄⋊Dic₄₇	1	1	yes	characteristic
275	C₂²×C₄	C₂×Dic₉₄	1	1	yes	characteristic
276	C₂²×C₄	C₂×Dic₉₄	1	2	yes	—
277	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
278	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
279	C₂²×C₄	C₂²×Dic₄₇	1	1	yes	characteristic
280	C₂²×C₄	C₂²×Dic₄₇	1	2	yes	—
281	M₁₆	—	2	4	no	—
282	M₁₆	—	4	2	no	—
283	M₁₆	—	376	2	no	—
284	C₂×C₈	—	2	2	no	—
285	C₂×C₈	—	4	1	no	—
286	C₂×C₈	—	94	2	no	—
287	C₂×C₈	—	94	2	no	—
288	C₂×C₈	—	94	2	no	—
289	C₂×C₈	—	94	2	no	—
290	C₂×C₈	—	376	2	no	—
291	C₂×C₈	—	376	2	no	—
292	C₂×C₈	C₂²×Dic₄₇	1	1	yes	characteristic
293	C₂×C₈	C₂²×Dic₄₇	1	1	yes	characteristic
294	C₂×C₈	C₂²×Dic₄₇	1	1	yes	characteristic
295	C₂×C₈	C₂²×Dic₄₇	1	2	yes	—
296	C₂×C₈	C₂²×Dic₄₇	1	2	yes	—
297	C₂×C₈	C₂²×Dic₄₇	1	1	yes	characteristic
298	C₄⋊C₄	C₄⋊Dic₄₇	1	2	yes	—
299	C₄⋊C₄	C₄⋊Dic₄₇	1	1	yes	characteristic
300	C₄⋊C₄	C₄⋊Dic₄₇	1	2	yes	—
301	C₄⋊C₄	C₄⋊Dic₄₇	1	1	yes	characteristic
302	C₂²⋊C₄	C₄⋊Dic₄₇	1	2	yes	—
303	C₂²⋊C₄	C₄⋊Dic₄₇	1	2	yes	—
304	C₂²⋊C₄	C₄⋊Dic₄₇	1	2	yes	—
305	C₄²	C₂×Dic₉₄	1	1	yes	characteristic
306	C₄²	C₂×Dic₉₄	1	2	yes	—
307	C₄²	C₂×D₁₈₈	1	2	yes	—
308	C₄²	C₂×D₁₈₈	1	1	yes	characteristic
309	C₄²	C₂²×Dic₄₇	1	1	yes	characteristic
310	C₄²	C₂²×Dic₄₇	1	2	yes	—
311	C₄²	C₂³×D₄₇	1	1	yes	characteristic
312	C₂³	C₂×C₄⋊Dic₄₇	1	2	yes	—
313	C₂³	C₂×C₄⋊Dic₄₇	1	1	yes	characteristic
314	Q₈	—	4	1	no	—
315	D₄	—	2	4	no	—
316	D₄	—	4	1	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	1	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	2	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	4	2	no	—
327	C₂×C₄	C₂×C₄⋊Dic₄₇	1	2	yes	—
328	C₂×C₄	C₂×C₄⋊Dic₄₇	1	1	yes	characteristic
329	C₂×C₄	C₂×C₄⋊Dic₄₇	1	1	yes	characteristic
330	C₂×C₄	C₂×C₄⋊Dic₄₇	1	2	yes	—
331	C₂×C₄	C₂×C₄⋊Dic₄₇	1	1	yes	characteristic
332	C₂×C₄	C₂×C₄⋊Dic₄₇	1	2	yes	—
333	C₂×C₄	C₂³×Dic₄₇	1	1	yes	characteristic
334	C₂×C₄	C₂²×D₁₈₈	1	1	yes	characteristic
335	C₂×C₄	C₂²×Dic₉₄	1	1	yes	characteristic
336	C₈	—	2	1	no	—
337	C₈	—	2	2	no	—
338	C₈	—	2	1	no	—
339	C₈	—	2	1	no	—
340	C₈	—	2	2	no	—
341	C₈	—	188	2	no	—
342	C₈	—	188	2	no	—
343	C₈	—	188	2	no	—
344	C₈	—	188	2	no	—
345	C₈	#13094031	1	2	yes	—
346	C₂²	—	2	1	no	—
347	C₂²	—	2	1	no	—
348	C₂²	—	2	2	no	—
349	C₂²	—	2	2	no	—
350	C₂²	—	2	2	no	—
351	C₂²	#15689172	1	2	yes	—
352	C₂²	C₂²×C₄⋊Dic₄₇	1	1	yes	characteristic
353	C₄	—	2	1	no	—
354	C₄	—	2	2	no	—
355	C₄	—	2	1	no	—
356	C₄	—	2	2	no	—
357	C₄	—	2	1	no	—
358	C₄	—	2	1	no	—
359	C₄	—	2	2	no	—
360	C₄	C₂×#13094031	1	1	yes	characteristic
361	C₄	#15689890	1	1	yes	characteristic
362	C₄	#15689928	1	1	yes	characteristic
363	C₄	#15689940	1	1	yes	characteristic
364	C₂	—	2	2	no	—
365	C₂	—	4	2	no	—
366	C₂	#20251956	1	1	yes	characteristic
367	C₂	#20251988	1	1	yes	characteristic
368	C₂	C₂×#15689172	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×D₁₈₈
commutator	C₂×C₄×C₄₇	C₂³×C₄
Frattini	C₄²	C₂³×D₄₇
Fitting	C₄₇×#2965	C₂
socle	C₂²×C₄₇	C₂²×C₄⋊C₄
prime radical	C₂×#41×C₄₇	Q₈
cosocle	C₄²×C₄₇	C₂⁴
hypercenter	#2965	D₄₇
hypocenter	C₄₇	#17840
LCS	G ▷ C₂×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂×C₄ ◁ C₄×#41 ◁ #2965

Complements

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

N	H ≅ G/N	type
2. #20242173	C₂	semidirect
3. #20242168	C₂	semidirect
4. #20242163	C₂	semidirect
5. #20242155	C₂	semidirect
6. #20242151	C₂	semidirect
7. #20242140	C₂	semidirect
8. C₂×#15688876	C₂	semidirect
225. C₄₇	#17840	semidirect

Maximal subgroups

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

subgroup	index
#20252513	2
#20242173	2
#20242168	2
#20242163	2
#20242155	2
#20242151	2
#20242140	2
C₂×#15688876	2
C₄₇×#2965	2
#17840	47