Subgroups — #26275270

Order 12032.

638 conjugacy classes of subgroups.

The subgroup lattice has 412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20248627	C₂	1	1	yes	maximal, characteristic
2	#20246343	C₂	1	1	yes	maximal, characteristic
3	#20244935	C₂	1	2	yes	maximal
4	#20244768	C₂	1	2	yes	maximal
5	#20244158	C₂	1	2	yes	maximal
6	#20244147	C₂	1	1	yes	maximal, characteristic
7	#20243974	C₂	1	2	yes	maximal
8	#20243545	C₂	1	1	yes	maximal, characteristic
9	#20243394	C₂	1	1	yes	maximal, characteristic
10	C₄×#13093949	C₂	1	1	yes	maximal, characteristic
11	C₄₇×#1939	C₂	1	1	yes	maximal, characteristic
12	C₂×C₄×Dic₉₄	C₂²	1	1	yes	characteristic
13	C₂×#13093958	C₂²	1	2	yes	—
14	C₂×#13093956	C₂²	1	2	yes	—
15	C₂×#13093956	C₂²	1	2	yes	—
16	C₂×#13093949	C₂²	1	1	yes	characteristic
17	C₂×#13093949	C₂²	1	1	yes	characteristic
18	C₂×#13093949	C₂²	1	2	yes	—
19	#15689065	—	2	2	no	—
20	#15689029	C₂²	1	2	yes	—
21	#15689021	C₂²	1	2	yes	—
22	#15689019	—	2	1	no	—
23	#15689010	—	2	2	no	—
24	#15688993	C₂²	1	1	yes	characteristic
25	#15688993	C₂²	1	1	yes	characteristic
26	#15688989	C₂²	1	2	yes	—
27	#15688988	—	2	1	no	—
28	#15688988	—	2	1	no	—
29	C₄⋊C₄×Dic₄₇	—	2	1	no	—
30	C₄×C₄⋊Dic₄₇	C₂²	1	2	yes	—
31	C₄×C₄⋊Dic₄₇	C₂²	1	1	yes	characteristic
32	#15688886	C₂²	1	1	yes	characteristic
33	#15688886	C₂²	1	2	yes	—
34	#15688886	C₂²	1	2	yes	—
35	#15688886	C₂²	1	1	yes	characteristic
36	C₂×C₄⋊C₈×C₄₇	C₂²	1	2	yes	—
37	C₂×C₄⋊C₈×C₄₇	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₈×C₄₇	C₂²	1	1	yes	characteristic
39	C₄×C₄⋊C₄×C₄₇	C₂²	1	1	yes	characteristic
40	C₄₇×#336	C₂²	1	2	yes	—
41	C₂²×Dic₉₄	C₂³	1	1	yes	characteristic
42	C₄×Dic₉₄	—	2	2	no	—
43	C₄×Dic₉₄	Q₈	1	4	yes	—
44	C₂×C₄⋊Dic₄₇	—	2	1	no	—
45	C₂×C₄⋊Dic₄₇	—	2	1	no	—
46	C₂×C₄⋊Dic₄₇	—	2	1	no	—
47	C₂×C₄⋊Dic₄₇	—	2	1	no	—
48	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
49	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
50	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
51	C₂×C₄⋊Dic₄₇	C₂³	1	2	yes	—
52	C₂×C₄⋊Dic₄₇	C₂³	1	1	yes	characteristic
53	C₂×Dic₄₇⋊C₄	—	2	1	no	—
54	C₂×Dic₄₇⋊C₄	—	2	2	no	—
55	C₂×C₄×Dic₄₇	—	2	1	no	—
56	C₂×C₄×Dic₄₇	—	2	1	no	—
57	C₂×C₄×Dic₄₇	—	2	2	no	—
58	#13093958	—	4	2	no	—
59	#13093956	—	2	4	no	—
60	#13093956	—	4	2	no	—
61	#13093949	—	2	2	no	—
62	#13093949	—	2	2	no	—
63	#13093949	—	4	2	no	—
64	C₄₇⋊#95	—	2	2	no	—
65	C₄₇⋊#95	—	2	1	no	—
66	C₄₇⋊#95	—	2	2	no	—
67	C₄₇⋊#95	—	2	2	no	—
68	C₄₇⋊#95	—	2	2	no	—
69	C₄₇⋊#95	—	2	2	no	—
70	C₄₇⋊#95	—	2	2	no	—
71	C₂²×C₈×C₄₇	C₂³	1	2	yes	—
72	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
73	C₂²×C₈×C₄₇	C₂³	1	1	yes	characteristic
74	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
75	C₂×C₄⋊C₄×C₄₇	D₄	1	1	yes	characteristic
76	C₂×C₄²×C₄₇	C₂³	1	2	yes	—
77	C₂×C₄²×C₄₇	C₂³	1	1	yes	characteristic
78	C₄⋊C₈×C₄₇	—	2	4	no	—
79	C₄⋊C₈×C₄₇	—	2	2	no	—
80	C₄×C₈×C₄₇	—	2	2	no	—
81	#95×C₄₇	D₄	1	2	yes	—
82	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
83	C₂²×C₄×C₄₇	C₂×D₄	1	2	yes	—
84	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₄₇	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₄₇	C₂⁴	1	1	yes	characteristic
87	C₂²×Dic₄₇	—	2	1	no	—
88	C₂²×Dic₄₇	—	2	1	no	—
89	C₂²×Dic₄₇	—	2	1	no	—
90	C₂²×Dic₄₇	—	2	1	no	—
91	C₂²×Dic₄₇	—	2	2	no	—
92	C₂²×Dic₄₇	—	2	2	no	—
93	C₂×Dic₉₄	—	2	1	no	—
94	C₂×Dic₉₄	—	2	1	no	—
95	C₂×Dic₉₄	—	2	1	no	—
96	C₂×Dic₉₄	—	2	1	no	—
97	C₂×Dic₉₄	—	2	1	no	—
98	C₂×Dic₉₄	C₂×Q₈	1	2	yes	—
99	C₂×C₈×C₄₇	—	2	1	no	—
100	C₂×C₈×C₄₇	—	2	1	no	—
101	C₂×C₈×C₄₇	—	2	1	no	—
102	C₂×C₈×C₄₇	—	2	1	no	—
103	C₂×C₈×C₄₇	—	2	2	no	—
104	C₂×C₈×C₄₇	—	2	2	no	—
105	C₂×C₈×C₄₇	—	2	2	no	—
106	C₂×C₈×C₄₇	#41	1	2	yes	—
107	C₂×C₈×C₄₇	#41	1	2	yes	—
108	C₄⋊C₄×C₄₇	—	2	2	no	—
109	C₄⋊C₄×C₄₇	—	2	2	no	—
110	C₄²×C₄₇	—	2	2	no	—
111	C₄²×C₄₇	—	2	2	no	—
112	C₄²×C₄₇	C₂×Q₈	1	2	yes	—
113	C₄²×C₄₇	#41	1	2	yes	—
114	C₄⋊Dic₄₇	—	2	1	no	—
115	C₄⋊Dic₄₇	—	2	1	no	—
116	C₄⋊Dic₄₇	—	2	1	no	—
117	C₄⋊Dic₄₇	—	2	2	no	—
118	C₄⋊Dic₄₇	—	2	2	no	—
119	C₄⋊Dic₄₇	—	2	2	no	—
120	C₄⋊Dic₄₇	—	2	2	no	—
121	C₄⋊Dic₄₇	—	2	1	no	—
122	C₄⋊Dic₄₇	—	2	1	no	—
123	C₄⋊Dic₄₇	—	4	2	no	—
124	C₄⋊Dic₄₇	—	4	2	no	—
125	C₄⋊Dic₄₇	—	8	1	no	—
126	C₄⋊Dic₄₇	—	8	1	no	—
127	C₄⋊Dic₄₇	C₂×Q₈	1	2	yes	—
128	Dic₄₇⋊C₄	—	2	4	no	—
129	Dic₄₇⋊C₄	—	8	2	no	—
130	C₄×Dic₄₇	—	2	4	no	—
131	C₄×Dic₄₇	—	4	2	no	—
132	C₄×Dic₄₇	—	8	2	no	—
133	C₂³×C₄₇	C₂²×D₄	1	1	yes	characteristic
134	C₂×C₄×C₄₇	—	2	1	no	—
135	C₂×C₄×C₄₇	—	2	1	no	—
136	C₂×C₄×C₄₇	—	2	2	no	—
137	C₂×C₄×C₄₇	—	2	2	no	—
138	C₂×C₄×C₄₇	—	2	2	no	—
139	C₂×C₄×C₄₇	—	2	2	no	—
140	C₂×C₄×C₄₇	—	2	2	no	—
141	C₂×C₄×C₄₇	—	2	2	no	—
142	C₂×C₄×C₄₇	C₂²⋊Q₈	1	2	yes	—
143	C₂×C₄×C₄₇	C₂²⋊Q₈	1	2	yes	—
144	C₂×C₄×C₄₇	#135	1	2	yes	—
145	C₂×C₄×C₄₇	#137	1	2	yes	—
146	C₂×C₄×C₄₇	C₂²×Q₈	1	1	yes	characteristic
147	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
148	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
149	C₂×C₄×C₄₇	C₂×#41	1	1	yes	characteristic
150	C₂×C₄×C₄₇	H(5,𝔽₂)	1	1	yes	characteristic
151	C₂×C₄×C₄₇	2₋¹⁺⁴	1	1	yes	characteristic
152	C₂×Dic₄₇	—	2	2	no	—
153	C₂×Dic₄₇	—	2	2	no	—
154	C₂×Dic₄₇	—	4	1	no	—
155	C₂×Dic₄₇	—	4	1	no	—
156	C₂×Dic₄₇	—	4	1	no	—
157	C₂×Dic₄₇	—	4	1	no	—
158	C₂×Dic₄₇	—	4	1	no	—
159	C₂×Dic₄₇	—	4	1	no	—
160	C₂×Dic₄₇	—	4	2	no	—
161	C₂×Dic₄₇	—	4	2	no	—
162	C₂×Dic₄₇	—	4	1	no	—
163	C₂×Dic₄₇	—	4	1	no	—
164	C₂×Dic₄₇	—	4	2	no	—
165	C₂×Dic₄₇	—	4	2	no	—
166	C₂×Dic₄₇	—	4	2	no	—
167	C₂×Dic₄₇	—	4	1	no	—
168	C₂×Dic₄₇	—	4	2	no	—
169	C₂×Dic₄₇	—	4	1	no	—
170	Dic₉₄	—	2	2	no	—
171	Dic₉₄	—	2	2	no	—
172	Dic₉₄	—	4	1	no	—
173	Dic₉₄	—	4	1	no	—
174	C₈×C₄₇	—	2	2	no	—
175	C₈×C₄₇	—	2	2	no	—
176	C₈×C₄₇	—	4	2	no	—
177	#26089	—	47	1	no	maximal, Sylow
178	C₂²×C₄₇	C₂×C₂²⋊Q₈	1	1	yes	characteristic
179	C₂²×C₄₇	#547	1	1	yes	characteristic
180	C₂²×C₄₇	#550	1	1	yes	characteristic
181	C₂²×C₄₇	C₂×#135	1	1	yes	characteristic
182	C₂²×C₄₇	C₂×#137	1	1	yes	characteristic
183	C₂²×C₄₇	#577	1	1	yes	characteristic
184	C₂²×C₄₇	#577	1	1	yes	characteristic
185	C₄×C₄₇	—	2	2	no	—
186	C₄×C₄₇	—	4	2	no	—
187	C₄×C₄₇	—	4	2	no	—
188	C₄×C₄₇	#479	1	4	yes	—
189	C₄×C₄₇	#533	1	1	yes	characteristic
190	C₄×C₄₇	#544	1	1	yes	characteristic
191	C₄×C₄₇	#552	1	1	yes	characteristic
192	C₄×C₄₇	#553	1	1	yes	characteristic
193	Dic₄₇	—	4	2	no	—
194	Dic₄₇	—	4	2	no	—
195	Dic₄₇	—	8	1	no	—
196	Dic₄₇	—	8	1	no	—
197	Dic₄₇	—	8	2	no	—
198	Dic₄₇	—	8	2	no	—
199	#2571	—	47	1	no	—
200	#2355	—	47	1	no	—
201	#2097	—	47	2	no	—
202	#2066	—	47	2	no	—
203	#1949	—	47	2	no	—
204	#1947	—	47	1	no	—
205	#1939	D₄₇	1	1	yes	characteristic
206	#1920	—	47	2	no	—
207	#1844	—	47	1	no	—
208	#1803	—	47	1	no	—
209	C₄×#103	—	47	1	no	—
210	C₂×C₄₇	#2441	1	1	yes	characteristic
211	C₂×C₄₇	C₂×#479	1	1	yes	characteristic
212	C₂×C₄₇	#3084	1	1	yes	characteristic
213	C₂×C₄₇	#3340	1	1	yes	characteristic
214	C₂×C₄₇	#3356	1	1	yes	characteristic
215	C₂×C₄₇	#3394	1	1	yes	characteristic
216	C₂×C₄₇	#3400	1	1	yes	characteristic
217	C₂×C₄×Q₈	—	47	1	no	—
218	C₂×#107	—	47	2	no	—
219	C₂×#106	—	47	2	no	—
220	C₂×#106	—	47	2	no	—
221	C₂×C₄⋊C₈	C₂×D₄₇	1	1	yes	characteristic
222	C₂×C₄⋊C₈	C₂×D₄₇	1	2	yes	—
223	C₂×#103	—	47	1	no	—
224	C₂×#103	—	47	1	no	—
225	C₂×#103	—	47	2	no	—
226	C₂×C₄×C₈	C₂×D₄₇	1	1	yes	characteristic
227	#400	—	94	2	no	—
228	#391	—	47	2	no	—
229	#389	—	47	2	no	—
230	#389	—	94	1	no	—
231	#387	—	94	2	no	—
232	#384	—	47	1	no	—
233	#384	—	47	1	no	—
234	#382	—	47	2	no	—
235	#382	—	94	1	no	—
236	#382	—	94	1	no	—
237	C₄×C₄⋊C₄	—	47	1	no	—
238	C₄×C₄⋊C₄	—	47	2	no	—
239	C₄×C₄⋊C₄	—	94	1	no	—
240	C₄×C₄⋊C₄	C₂×D₄₇	1	1	yes	characteristic
241	#340	—	47	2	no	—
242	#340	—	47	2	no	—
243	#340	—	47	1	no	—
244	#340	—	47	1	no	—
245	#336	C₂×D₄₇	1	2	yes	—
246	C₄₇	#26089	1	1	yes	characteristic, complemented, Sylow
247	C₂²×Q₈	—	47	1	no	—
248	C₂²×C₈	C₂²×D₄₇	1	2	yes	—
249	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
250	C₂²×C₈	C₂²×D₄₇	1	1	yes	characteristic
251	C₄×Q₈	—	47	4	no	—
252	C₄×Q₈	—	94	2	no	—
253	C₂×C₄⋊C₄	—	47	1	no	—
254	C₂×C₄⋊C₄	—	47	1	no	—
255	C₂×C₄⋊C₄	—	47	1	no	—
256	C₂×C₄⋊C₄	—	47	2	no	—
257	C₂×C₄⋊C₄	—	47	2	no	—
258	C₂×C₄⋊C₄	—	94	1	no	—
259	C₂×C₄⋊C₄	—	94	2	no	—
260	C₂×C₄⋊C₄	—	94	1	no	—
261	C₂×C₄⋊C₄	—	94	1	no	—
262	C₂×C₄⋊C₄	—	94	1	no	—
263	C₂×C₄⋊C₄	—	94	1	no	—
264	C₂×C₄⋊C₄	D₁₈₈	1	1	yes	characteristic
265	C₂×C₄⋊C₄	D₁₈₈	1	1	yes	characteristic
266	C₂×C₄²	—	94	1	no	—
267	C₂×C₄²	—	94	2	no	—
268	C₂×C₄²	—	94	1	no	—
269	C₂×C₄²	C₂²×D₄₇	1	2	yes	—
270	C₂×C₄²	C₂²×D₄₇	1	1	yes	characteristic
271	#107	—	188	2	no	—
272	#106	—	94	4	no	—
273	#106	—	188	2	no	—
274	C₄⋊C₈	—	2	4	no	—
275	C₄⋊C₈	—	2	2	no	—
276	#103	—	94	2	no	—
277	#103	—	94	2	no	—
278	#103	—	188	2	no	—
279	C₄×C₈	—	2	2	no	—
280	#95	—	94	2	no	—
281	#95	—	94	1	no	—
282	#95	—	94	2	no	—
283	#95	—	94	2	no	—
284	#95	—	94	2	no	—
285	#95	—	94	2	no	—
286	#95	—	94	2	no	—
287	#95	D₁₈₈	1	2	yes	—
288	C₂×Q₈	—	47	2	no	—
289	C₂×Q₈	—	94	1	no	—
290	C₂×Q₈	—	94	1	no	—
291	C₂×Q₈	—	94	1	no	—
292	C₂×Q₈	—	94	1	no	—
293	C₂×Q₈	—	94	1	no	—
294	C₂²×C₄	—	94	1	no	—
295	C₂²×C₄	—	94	1	no	—
296	C₂²×C₄	—	94	1	no	—
297	C₂²×C₄	—	94	1	no	—
298	C₂²×C₄	—	94	2	no	—
299	C₂²×C₄	—	94	2	no	—
300	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
301	C₂²×C₄	C₂×D₁₈₈	1	2	yes	—
302	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
303	C₂²×C₄	C₂×D₁₈₈	1	1	yes	characteristic
304	C₂²×C₄	C₂³×D₄₇	1	1	yes	characteristic
305	C₂×C₈	—	2	1	no	—
306	C₂×C₈	—	2	1	no	—
307	C₂×C₈	—	2	1	no	—
308	C₂×C₈	—	2	1	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	—	2	2	no	—
312	C₂×C₈	#10625352	1	2	yes	—
313	C₂×C₈	#10625354	1	2	yes	—
314	C₄⋊C₄	—	2	2	no	—
315	C₄⋊C₄	—	2	2	no	—
316	C₄⋊C₄	—	47	2	no	—
317	C₄⋊C₄	—	94	4	no	—
318	C₄⋊C₄	—	94	1	no	—
319	C₄⋊C₄	—	94	1	no	—
320	C₄⋊C₄	—	94	1	no	—
321	C₄⋊C₄	—	94	2	no	—
322	C₄⋊C₄	—	94	2	no	—
323	C₄⋊C₄	—	94	2	no	—
324	C₄⋊C₄	—	94	2	no	—
325	C₄⋊C₄	—	94	1	no	—
326	C₄⋊C₄	—	94	1	no	—
327	C₄⋊C₄	—	376	2	no	—
328	C₄⋊C₄	—	376	1	no	—
329	C₄⋊C₄	—	376	1	no	—
330	C₄⋊C₄	—	188	2	no	—
331	C₄⋊C₄	—	188	2	no	—
332	C₄²	—	2	2	no	—
333	C₄²	—	2	2	no	—
334	C₄²	—	94	4	no	—
335	C₄²	—	376	2	no	—
336	C₄²	—	188	2	no	—
337	C₄²	#10625352	1	2	yes	—
338	C₄²	Q₈×D₄₇	1	2	yes	—
339	C₂³	C₂²×D₁₈₈	1	1	yes	characteristic
340	Q₈	—	94	2	no	—
341	Q₈	—	94	2	no	—
342	Q₈	—	188	1	no	—
343	Q₈	—	188	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	2	2	no	—
347	C₂×C₄	—	2	2	no	—
348	C₂×C₄	—	2	2	no	—
349	C₂×C₄	—	2	2	no	—
350	C₂×C₄	—	2	2	no	—
351	C₂×C₄	—	2	2	no	—
352	C₂×C₄	—	94	2	no	—
353	C₂×C₄	—	94	2	no	—
354	C₂×C₄	—	188	1	no	—
355	C₂×C₄	—	188	1	no	—
356	C₂×C₄	—	188	2	no	—
357	C₂×C₄	—	188	2	no	—
358	C₂×C₄	—	188	1	no	—
359	C₂×C₄	—	188	1	no	—
360	C₂×C₄	—	188	2	no	—
361	C₂×C₄	—	188	2	no	—
362	C₂×C₄	—	188	2	no	—
363	C₂×C₄	—	188	1	no	—
364	C₂×C₄	—	188	2	no	—
365	C₂×C₄	—	188	1	no	—
366	C₂×C₄	—	188	1	no	—
367	C₂×C₄	—	188	1	no	—
368	C₂×C₄	—	188	1	no	—
369	C₂×C₄	—	188	1	no	—
370	C₂×C₄	#13094004	1	2	yes	—
371	C₂×C₄	#13094004	1	2	yes	—
372	C₂×C₄	#13094046	1	2	yes	—
373	C₂×C₄	#13094057	1	2	yes	—
374	C₂×C₄	C₂×Q₈×D₄₇	1	1	yes	characteristic
375	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
376	C₂×C₄	C₂×#10625352	1	1	yes	characteristic
377	C₂×C₄	C₂×#10625354	1	1	yes	characteristic
378	C₂×C₄	#13094070	1	1	yes	characteristic
379	C₂×C₄	#13094071	1	1	yes	characteristic
380	C₈	—	2	2	no	—
381	C₈	—	2	2	no	—
382	C₈	—	4	2	no	—
383	C₂²	C₂×#13094004	1	1	yes	characteristic
384	C₂²	#15689777	1	1	yes	characteristic
385	C₂²	#15689795	1	1	yes	characteristic
386	C₂²	C₂×#13094046	1	1	yes	characteristic
387	C₂²	C₂×#13094057	1	1	yes	characteristic
388	C₂²	#15689935	1	1	yes	characteristic
389	C₂²	#15689935	1	1	yes	characteristic
390	C₄	—	2	2	no	—
391	C₄	—	4	2	no	—
392	C₄	—	4	2	no	—
393	C₄	—	376	1	no	—
394	C₄	—	376	1	no	—
395	C₄	—	376	2	no	—
396	C₄	—	376	2	no	—
397	C₄	—	188	2	no	—
398	C₄	—	188	2	no	—
399	C₄	#15689431	1	4	yes	—
400	C₄	#15689678	1	1	yes	characteristic
401	C₄	#15689753	1	1	yes	characteristic
402	C₄	#15689815	1	1	yes	characteristic
403	C₄	#15689825	1	1	yes	characteristic
404	C₂	#20247099	1	1	yes	characteristic
405	C₂	C₂×#15689431	1	1	yes	characteristic
406	C₂	#20253252	1	1	yes	characteristic
407	C₂	#20255802	1	1	yes	characteristic
408	C₂	#20256004	1	1	yes	characteristic
409	C₂	#20256386	1	1	yes	characteristic
410	C₂	#20256443	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂²×D₁₈₈
commutator, cosocle	C₂²×C₄×C₄₇	C₂⁴
Frattini	C₂²×C₄	C₂³×D₄₇
Fitting	C₄₇×#1939	C₂
socle, prime radical	C₂³×C₄₇	C₂²×D₄
hypercenter	#1939	D₄₇
hypocenter	C₄₇	#26089
LCS	G ▷ C₂²×C₄×C₄₇ ▷ C₂×C₄₇ ▷ C₄₇
UCS	C₁ ◁ C₂³ ◁ C₄×C₄⋊C₄ ◁ #1939

Complements

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

N	H ≅ G/N	type
246. C₄₇	#26089	semidirect

Maximal subgroups

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

subgroup	index
#20248627	2
#20246343	2
#20244935	2
#20244768	2
#20244158	2
#20244147	2
#20243974	2
#20243545	2
#20243394	2
C₄×#13093949	2
C₄₇×#1939	2
#26089	47