Subgroups — #26201535

Order 12032.

650 conjugacy classes of subgroups.

The subgroup lattice has 430 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20254520	C₂	1	1	yes	maximal, characteristic, complemented
2	#20253396	C₂	1	1	yes	maximal, characteristic, complemented
3	#20252412	C₂	1	1	yes	maximal, characteristic, complemented
4	#20242823	C₂	1	2	yes	maximal, complemented
5	#20242795	C₂	1	2	yes	maximal, complemented
6	#20242785	C₂	1	2	yes	maximal, complemented
7	#20242765	C₂	1	2	yes	maximal, complemented
8	#20242169	C₂	1	1	yes	maximal, characteristic, complemented
9	#20242099	C₂	1	1	yes	maximal, characteristic, complemented
10	#20242050	C₂	1	1	yes	maximal, characteristic, complemented
11	C₄₇×#3109	C₂	1	1	yes	maximal, characteristic
12	#15689680	C₂²	1	1	yes	characteristic
13	#15689526	C₂²	1	1	yes	characteristic, complemented
14	#15689519	C₂²	1	1	yes	characteristic, complemented
15	#15689469	C₂²	1	1	yes	characteristic, complemented
16	#15689469	C₂²	1	1	yes	characteristic, complemented
17	#15689453	—	2	1	no	—
18	#15689444	—	2	2	no	—
19	#15689423	—	2	2	no	—
20	#15689413	C₂²	1	2	yes	—
21	#15689328	C₂²	1	2	yes	—
22	#15689274	—	2	1	no	—
23	C₄×#10625335	—	2	2	no	—
24	D₄×C₄₇⋊C₈	—	2	2	no	—
25	D₄×C₄₇⋊C₈	C₂²	1	2	yes	—
26	D₄×C₄₇⋊C₈	C₂²	1	2	yes	—
27	#15689176	C₂²	1	1	yes	characteristic
28	#15689176	C₂²	1	1	yes	characteristic
29	#15689176	C₂²	1	1	yes	characteristic
30	C₂×C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
31	#15688875	C₂²	1	2	yes	complemented
32	#15688873	C₂²	1	2	yes	complemented
33	#15688872	C₂²	1	2	yes	complemented
34	#15688871	C₂²	1	2	yes	complemented
35	#15688870	C₂²	1	2	yes	complemented
36	#15688867	C₂²	1	2	yes	complemented
37	C₄₇×#532	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₄₇	C₂²	1	1	yes	characteristic
39	C₄₇×#481	—	2	1	no	—
40	C₄₇×#476	C₂²	1	2	yes	—
41	C₄₇×#459	C₂²	1	2	yes	—
42	C₄₇×#447	—	2	1	no	—
43	C₄₇×#442	—	2	2	no	—
44	C₄₇×#432	C₂²	1	1	yes	characteristic
45	C₂×#10625335	—	2	2	no	—
46	C₂²×C₄₇⋊C₈	—	2	2	no	—
47	C₂²×C₄₇⋊C₈	—	2	2	no	—
48	#13094024	C₂³	1	1	yes	characteristic
49	#13094024	C₂³	1	1	yes	characteristic
50	#13094016	—	2	1	no	—
51	#13094003	—	2	1	no	—
52	#13094003	—	2	1	no	—
53	C₄×Dic₉₄	—	2	1	no	—
54	C₄×Dic₉₄	—	2	1	no	—
55	#13093983	—	2	1	no	—
56	#13093957	—	2	2	no	—
57	#13093955	—	2	2	no	—
58	#13093955	—	2	2	no	—
59	C₄⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
60	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
61	C₄⋊(C₄₇⋊C₈)	C₂³	1	2	yes	—
62	#13093947	—	2	2	no	—
63	#13093945	—	2	2	no	—
64	#13093945	—	2	2	no	—
65	#13093945	—	2	2	no	—
66	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
67	C₂²⋊(C₄₇⋊C₈)	—	2	1	no	—
68	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
69	C₂²⋊(C₄₇⋊C₈)	—	2	2	no	—
70	C₂²⋊(C₄₇⋊C₈)	D₄	1	2	yes	—
71	C₄×C₄₇⋊C₈	—	2	1	no	—
72	C₄×C₄₇⋊C₈	—	2	1	no	—
73	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
74	C₄×C₄₇⋊C₈	C₂³	1	1	yes	characteristic
75	C₂×#41×C₄₇	—	2	1	no	—
76	C₂²×D₄×C₄₇	D₄	1	1	yes	characteristic
77	C₂³×C₄×C₄₇	—	2	1	no	—
78	C₂×D₈×C₄₇	—	2	2	no	—
79	C₄⋊Q₈×C₄₇	C₂³	1	1	yes	characteristic
80	#127×C₄₇	C₂³	1	1	yes	characteristic
81	#124×C₄₇	—	2	1	no	—
82	#121×C₄₇	—	2	1	no	—
83	#121×C₄₇	—	2	1	no	—
84	C₄×D₄×C₄₇	—	2	1	no	—
85	C₄×D₄×C₄₇	—	2	1	no	—
86	C₄×D₄×C₄₇	—	2	1	no	—
87	C₄×D₄×C₄₇	—	2	1	no	—
88	C₄×D₄×C₄₇	D₄	1	2	yes	—
89	C₄×D₄×C₄₇	C₂³	1	2	yes	—
90	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
91	C₂×C₂²⋊C₄×C₄₇	—	2	1	no	—
92	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
93	#106×C₄₇	—	2	2	no	—
94	C₄⋊C₈×C₄₇	C₂³	1	2	yes	—
95	#102×C₄₇	—	2	2	no	—
96	#102×C₄₇	—	2	2	no	—
97	C₂²⋊C₈×C₄₇	—	2	1	no	—
98	#97×C₄₇	—	2	1	no	—
99	C₂⁴×C₄₇	—	2	1	no	—
100	#41×C₄₇	—	8	2	no	—
101	C₂×Q₈×C₄₇	—	2	1	no	—
102	C₂×D₄×C₄₇	—	2	4	no	—
103	C₂×D₄×C₄₇	—	2	1	no	—
104	C₂×D₄×C₄₇	—	2	1	no	—
105	C₂×D₄×C₄₇	—	2	1	no	—
106	C₂×D₄×C₄₇	—	2	1	no	—
107	C₂×D₄×C₄₇	—	4	1	no	—
108	C₂×D₄×C₄₇	C₂×D₄	1	2	yes	—
109	C₂²×C₄×C₄₇	—	2	1	no	—
110	C₂²×C₄×C₄₇	—	2	2	no	—
111	C₂²×C₄×C₄₇	—	2	2	no	—
112	C₂²×C₄×C₄₇	—	4	1	no	—
113	C₂²×C₄×C₄₇	—	8	2	no	—
114	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
115	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
116	C₂²×C₄×C₄₇	#41	1	1	yes	characteristic
117	C₂×Dic₉₄	—	2	1	no	—
118	C₂×Dic₉₄	—	2	1	no	—
119	D₈×C₄₇	—	4	4	no	—
120	C₂×C₈×C₄₇	—	2	2	no	—
121	C₄⋊C₄×C₄₇	—	2	1	no	—
122	C₄⋊C₄×C₄₇	—	2	1	no	—
123	C₄⋊C₄×C₄₇	—	2	1	no	—
124	C₄⋊C₄×C₄₇	C₂×D₄	1	2	yes	—
125	C₂²⋊C₄×C₄₇	—	2	2	no	—
126	C₂²⋊C₄×C₄₇	—	2	2	no	—
127	C₂²⋊C₄×C₄₇	—	4	1	no	—
128	C₂²⋊C₄×C₄₇	—	4	1	no	—
129	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
130	C₄²×C₄₇	C₂×D₄	1	1	yes	characteristic
131	C₄²×C₄₇	#41	1	1	yes	characteristic
132	C₄²×C₄₇	C₂⁴	1	1	yes	characteristic
133	C₂²⋊Dic₄₇	—	4	1	no	—
134	#10625335	—	4	4	no	—
135	C₄⋊Dic₄₇	—	2	1	no	—
136	C₄⋊Dic₄₇	—	2	1	no	—
137	C₄⋊Dic₄₇	—	2	1	no	—
138	C₄⋊Dic₄₇	—	2	1	no	—
139	Dic₄₇⋊C₄	—	4	1	no	—
140	Dic₄₇⋊C₄	—	4	1	no	—
141	C₄×Dic₄₇	—	4	1	no	—
142	C₂×C₄₇⋊C₈	—	2	2	no	—
143	C₂×C₄₇⋊C₈	—	2	2	no	—
144	C₂×C₄₇⋊C₈	—	8	2	no	—
145	C₂×C₄₇⋊C₈	—	8	2	no	—
146	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
147	C₂×C₄₇⋊C₈	C₂×D₄	1	2	yes	—
148	C₂³×C₄₇	—	2	4	no	—
149	C₂³×C₄₇	—	2	2	no	—
150	C₂³×C₄₇	—	4	1	no	—
151	C₂³×C₄₇	—	8	1	no	—
152	C₂³×C₄₇	—	8	1	no	—
153	C₂³×C₄₇	#121	1	1	yes	characteristic
154	Q₈×C₄₇	—	8	1	no	—
155	D₄×C₄₇	—	2	4	no	—
156	D₄×C₄₇	—	2	2	no	—
157	D₄×C₄₇	—	4	2	no	—
158	D₄×C₄₇	—	4	2	no	—
159	D₄×C₄₇	—	8	1	no	—
160	D₄×C₄₇	—	8	2	no	—
161	D₄×C₄₇	#135	1	4	yes	—
162	C₂×C₄×C₄₇	—	2	2	no	—
163	C₂×C₄×C₄₇	—	2	2	no	—
164	C₂×C₄×C₄₇	—	2	2	no	—
165	C₂×C₄×C₄₇	—	4	1	no	—
166	C₂×C₄×C₄₇	—	4	2	no	—
167	C₂×C₄×C₄₇	—	4	2	no	—
168	C₂×C₄×C₄₇	—	4	1	no	—
169	C₂×C₄×C₄₇	—	8	2	no	—
170	C₂×C₄×C₄₇	—	8	2	no	—
171	C₂×C₄×C₄₇	—	8	1	no	—
172	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
173	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
174	C₂×C₄×C₄₇	#121	1	1	yes	characteristic
175	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
176	C₂×C₄×C₄₇	C₂²×D₄	1	1	yes	characteristic
177	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
178	C₂×Dic₄₇	—	4	1	no	—
179	C₂×Dic₄₇	—	4	1	no	—
180	Dic₉₄	—	4	2	no	—
181	Dic₉₄	—	8	1	no	—
182	C₈×C₄₇	—	4	2	no	—
183	C₄₇⋊C₈	—	2	2	no	—
184	C₄₇⋊C₈	—	2	2	no	—
185	C₄₇⋊C₈	—	4	2	no	—
186	C₄₇⋊C₈	—	4	2	no	—
187	#19394	—	47	1	no	maximal, Sylow
188	C₂²×C₄₇	—	2	1	no	—
189	C₂²×C₄₇	—	2	1	no	—
190	C₂²×C₄₇	—	2	4	no	—
191	C₂²×C₄₇	—	2	1	no	—
192	C₂²×C₄₇	—	4	2	no	—
193	C₂²×C₄₇	—	4	2	no	—
194	C₂²×C₄₇	—	8	4	no	—
195	C₂²×C₄₇	—	8	1	no	—
196	C₂²×C₄₇	—	8	1	no	—
197	C₂²×C₄₇	—	8	1	no	—
198	C₂²×C₄₇	C₂×#121	1	1	yes	characteristic
199	C₄×C₄₇	—	2	1	no	—
200	C₄×C₄₇	—	2	1	no	—
201	C₄×C₄₇	—	2	1	no	—
202	C₄×C₄₇	—	2	1	no	—
203	C₄×C₄₇	—	4	2	no	—
204	C₄×C₄₇	—	8	1	no	—
205	C₄×C₄₇	C₂×#135	1	2	yes	—
206	C₄×C₄₇	#577	1	2	yes	—
207	Dic₄₇	—	8	1	no	—
208	Dic₄₇	—	8	1	no	—
209	#3228	—	47	1	no	—
210	#3109	D₄₇	1	1	yes	characteristic
211	#3101	—	47	1	no	—
212	#2972	—	47	1	no	—
213	#1681	—	47	2	no	—
214	#1677	—	47	2	no	—
215	#1675	—	47	2	no	—
216	#1671	—	47	2	no	—
217	#1572	—	47	1	no	—
218	#1554	—	47	1	no	—
219	#1543	—	47	1	no	—
220	C₂×C₄₇	—	4	1	no	—
221	C₂×C₄₇	—	4	4	no	—
222	C₂×C₄₇	—	16	1	no	—
223	C₂×C₄₇	#3042	1	1	yes	characteristic
224	C₂×C₄₇	#3050	1	1	yes	characteristic
225	C₂×C₄₇	#3068	1	1	yes	characteristic
226	#533	—	47	1	no	—
227	#532	C₂×D₄₇	1	1	yes	characteristic
228	C₂×C₄×D₄	C₂×D₄₇	1	1	yes	characteristic
229	#500	—	47	1	no	—
230	#498	—	47	1	no	—
231	#486	—	47	1	no	—
232	#486	—	47	1	no	—
233	#483	—	94	1	no	—
234	#482	—	94	2	no	—
235	#481	—	2	1	no	—
236	#478	—	94	2	no	—
237	#476	—	47	2	no	—
238	#476	C₂×D₄₇	1	2	yes	—
239	#461	—	47	2	no	—
240	#459	C₂×D₄₇	1	2	yes	—
241	#450	—	94	1	no	—
242	#447	—	2	1	no	—
243	#442	—	2	2	no	—
244	C₄×SD₁₆	—	94	2	no	—
245	C₈×D₄	—	47	2	no	—
246	C₈×D₄	—	47	2	no	—
247	C₈×D₄	—	94	2	no	—
248	#432	C₂×D₄₇	1	1	yes	characteristic
249	#431	—	47	1	no	—
250	#431	—	47	1	no	—
251	#431	—	47	1	no	—
252	C₂×C₂²⋊C₈	—	94	2	no	—
253	#335	—	47	2	no	—
254	#334	—	47	2	no	—
255	#333	—	47	2	no	—
256	#333	—	47	2	no	—
257	#332	—	47	2	no	—
258	#331	—	47	2	no	—
259	C₄₇	#19394	1	1	yes	characteristic, complemented, Sylow
260	C₂×#41	—	2	1	no	—
261	C₂²×D₄	C₂²⋊D₄₇	1	1	yes	characteristic
262	C₂³×C₄	—	2	1	no	—
263	C₂×SD₁₆	—	94	2	no	—
264	C₂×D₈	—	2	2	no	—
265	C₂²×C₈	—	94	2	no	—
266	C₂²×C₈	—	94	2	no	—
267	C₄⋊Q₈	—	47	1	no	—
268	C₄⋊Q₈	—	47	1	no	—
269	C₄⋊Q₈	C₂²×D₄₇	1	1	yes	characteristic
270	#127	C₂²×D₄₇	1	1	yes	characteristic
271	#125	—	94	1	no	—
272	#124	—	2	1	no	—
273	C₂²⋊Q₈	—	94	1	no	—
274	C₂²⋊Q₈	—	94	1	no	—
275	#121	—	2	1	no	—
276	#121	—	2	1	no	—
277	C₄×Q₈	—	94	1	no	—
278	C₄×Q₈	—	94	1	no	—
279	C₄×D₄	—	2	1	no	—
280	C₄×D₄	—	2	1	no	—
281	C₄×D₄	—	2	1	no	—
282	C₄×D₄	—	2	1	no	—
283	C₄×D₄	C₂²⋊D₄₇	1	2	yes	—
284	C₄×D₄	C₂²×D₄₇	1	2	yes	—
285	#117	—	94	1	no	—
286	C₂×C₄⋊C₄	C₂²⋊D₄₇	1	1	yes	characteristic
287	C₂×C₂²⋊C₄	—	2	1	no	—
288	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
289	#107	—	94	2	no	—
290	#106	—	2	2	no	—
291	#106	—	94	2	no	—
292	#106	—	94	2	no	—
293	C₄⋊C₈	—	47	2	no	—
294	C₄⋊C₈	—	47	2	no	—
295	C₄⋊C₈	—	47	2	no	—
296	C₄⋊C₈	C₂²×D₄₇	1	2	yes	—
297	#103	—	94	2	no	—
298	#102	—	2	2	no	—
299	#102	—	2	2	no	—
300	#102	—	94	2	no	—
301	#102	—	94	2	no	—
302	#102	—	94	2	no	—
303	C₂²⋊C₈	—	2	1	no	—
304	C₂²⋊C₈	—	47	2	no	—
305	C₂²⋊C₈	—	94	2	no	—
306	C₂²⋊C₈	—	94	2	no	—
307	C₂²⋊C₈	—	94	1	no	—
308	C₂²⋊C₈	—	94	1	no	—
309	#97	—	2	1	no	—
310	C₄×C₈	—	47	1	no	—
311	C₄×C₈	—	47	1	no	—
312	C₄×C₈	—	94	1	no	—
313	C₄×C₈	—	94	1	no	—
314	C₂⁴	—	2	1	no	—
315	#41	—	8	2	no	—
316	C₂×Q₈	—	2	1	no	—
317	C₂×Q₈	—	94	1	no	—
318	C₂×Q₈	—	94	1	no	—
319	C₂×D₄	—	2	4	no	—
320	C₂×D₄	—	2	1	no	—
321	C₂×D₄	—	2	1	no	—
322	C₂×D₄	—	2	1	no	—
323	C₂×D₄	—	2	1	no	—
324	C₂×D₄	—	4	1	no	—
325	C₂×D₄	C₂×C₂²⋊D₄₇	1	2	yes	—
326	C₂²×C₄	—	2	1	no	—
327	C₂²×C₄	—	2	2	no	—
328	C₂²×C₄	—	2	2	no	—
329	C₂²×C₄	—	4	1	no	—
330	C₂²×C₄	—	8	2	no	—
331	C₂²×C₄	D₄×D₄₇	1	1	yes	characteristic
332	C₂²×C₄	#10625352	1	1	yes	characteristic
333	C₂²×C₄	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
334	SD₁₆	—	188	4	no	—
335	D₈	—	4	4	no	—
336	C₂×C₈	—	2	2	no	—
337	C₂×C₈	—	47	2	no	—
338	C₂×C₈	—	47	2	no	—
339	C₂×C₈	—	94	2	no	—
340	C₂×C₈	—	94	2	no	—
341	C₂×C₈	—	376	2	no	—
342	C₂×C₈	—	376	2	no	—
343	C₄⋊C₄	—	2	1	no	—
344	C₄⋊C₄	—	2	1	no	—
345	C₄⋊C₄	—	2	1	no	—
346	C₄⋊C₄	—	94	1	no	—
347	C₄⋊C₄	—	94	1	no	—
348	C₄⋊C₄	—	94	1	no	—
349	C₄⋊C₄	—	94	1	no	—
350	C₄⋊C₄	—	188	1	no	—
351	C₄⋊C₄	—	188	1	no	—
352	C₄⋊C₄	C₂×C₂²⋊D₄₇	1	2	yes	—
353	C₂²⋊C₄	—	2	2	no	—
354	C₂²⋊C₄	—	2	2	no	—
355	C₂²⋊C₄	—	4	1	no	—
356	C₂²⋊C₄	—	4	1	no	—
357	C₂²⋊C₄	—	188	1	no	—
358	C₄²	—	188	1	no	—
359	C₄²	D₄×D₄₇	1	1	yes	characteristic
360	C₄²	#10625352	1	1	yes	characteristic
361	C₄²	C₂×C₂²⋊D₄₇	1	1	yes	characteristic
362	C₄²	C₂³×D₄₇	1	1	yes	characteristic
363	C₂³	—	2	4	no	—
364	C₂³	—	2	2	no	—
365	C₂³	—	4	1	no	—
366	C₂³	—	8	1	no	—
367	C₂³	—	8	1	no	—
368	C₂³	#13093996	1	1	yes	characteristic
369	Q₈	—	8	1	no	—
370	Q₈	—	376	1	no	—
371	Q₈	—	188	2	no	—
372	D₄	—	2	4	no	—
373	D₄	—	2	2	no	—
374	D₄	—	4	2	no	—
375	D₄	—	4	2	no	—
376	D₄	—	8	1	no	—
377	D₄	—	8	2	no	—
378	D₄	#13094044	1	4	yes	—
379	C₂×C₄	—	2	2	no	—
380	C₂×C₄	—	2	2	no	—
381	C₂×C₄	—	2	2	no	—
382	C₂×C₄	—	4	1	no	—
383	C₂×C₄	—	4	2	no	—
384	C₂×C₄	—	4	2	no	—
385	C₂×C₄	—	4	1	no	—
386	C₂×C₄	—	8	2	no	—
387	C₂×C₄	—	8	2	no	—
388	C₂×C₄	—	8	1	no	—
389	C₂×C₄	—	188	1	no	—
390	C₂×C₄	—	188	1	no	—
391	C₂×C₄	#13093996	1	1	yes	characteristic
392	C₂×C₄	#13093996	1	1	yes	characteristic
393	C₂×C₄	#13093996	1	1	yes	characteristic
394	C₂×C₄	C₂×D₄×D₄₇	1	1	yes	characteristic
395	C₂×C₄	C₂²×C₂²⋊D₄₇	1	1	yes	characteristic
396	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
397	C₈	—	4	2	no	—
398	C₈	—	94	2	no	—
399	C₈	—	94	2	no	—
400	C₈	—	188	2	no	—
401	C₈	—	188	2	no	—
402	C₂²	—	2	1	no	—
403	C₂²	—	2	4	no	—
404	C₂²	—	2	1	no	—
405	C₂²	—	2	1	no	—
406	C₂²	—	4	2	no	—
407	C₂²	—	4	2	no	—
408	C₂²	—	8	4	no	—
409	C₂²	—	8	1	no	—
410	C₂²	—	8	1	no	—
411	C₂²	—	8	1	no	—
412	C₂²	C₂×#13093996	1	1	yes	characteristic
413	C₄	—	2	1	no	—
414	C₄	—	2	1	no	—
415	C₄	—	2	1	no	—
416	C₄	—	2	1	no	—
417	C₄	—	4	2	no	—
418	C₄	—	8	1	no	—
419	C₄	—	376	1	no	—
420	C₄	—	376	1	no	—
421	C₄	C₂×#13094044	1	2	yes	—
422	C₄	#15689933	1	2	yes	—
423	C₂	—	4	1	no	—
424	C₂	—	4	4	no	—
425	C₂	—	16	1	no	—
426	C₂	#20252902	1	1	yes	characteristic
427	C₂	#20252966	1	1	yes	characteristic
428	C₂	#20253113	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×#13093996
commutator, cosocle	C₄²×C₄₇	C₂⁴
Frattini	C₄²	C₂³×D₄₇
Fitting, prime radical	C₄₇×#3109	C₂
socle	C₂²×C₄₇	C₂×#121
hypercenter	#3109	D₄₇
hypocenter	C₄₇	#19394
LCS	G ▷ C₄²×C₄₇ ▷ C₂²×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3109

Complements

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

N	H ≅ G/N	type
1. #20254520	C₂	semidirect
2. #20253396	C₂	semidirect
3. #20252412	C₂	semidirect
4. #20242823	C₂	semidirect
5. #20242795	C₂	semidirect
6. #20242785	C₂	semidirect
7. #20242765	C₂	semidirect
8. #20242169	C₂	semidirect
9. #20242099	C₂	semidirect
10. #20242050	C₂	semidirect
13. #15689526	C₂²	semidirect
14. #15689519	C₂²	semidirect
15. #15689469	C₂²	semidirect
16. #15689469	C₂²	semidirect
31. #15688875	C₂²	semidirect
32. #15688873	C₂²	semidirect
33. #15688872	C₂²	semidirect
34. #15688871	C₂²	semidirect
35. #15688870	C₂²	semidirect
36. #15688867	C₂²	semidirect
259. C₄₇	#19394	semidirect

Maximal subgroups

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

subgroup	index
#20254520	2
#20253396	2
#20252412	2
#20242823	2
#20242795	2
#20242785	2
#20242765	2
#20242169	2
#20242099	2
#20242050	2
C₄₇×#3109	2
#19394	47