Subgroups — #13123562

Order 1664.

502 conjugacy classes of subgroups.

The subgroup lattice has 408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#88161	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#6094	C₂	1	1	yes	maximal, characteristic, complemented
3	#11719252	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#435	C₂	1	1	yes	maximal, characteristic, complemented
5	#11718789	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
7	D₄×#1055	C₂	1	1	yes	maximal, characteristic, complemented
8	#11718500	C₂	1	1	yes	maximal, characteristic, complemented
9	#11718499	C₂	1	1	yes	maximal, characteristic, complemented
10	#11718391	C₂	1	1	yes	maximal, characteristic, complemented
11	#11718391	C₂	1	1	yes	maximal, characteristic, complemented
12	#11718388	C₂	1	1	yes	maximal, characteristic, complemented
13	D₁₃×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
14	#11718369	C₂	1	1	yes	maximal, characteristic, complemented
15	#11718367	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#6127	C₂²	1	1	yes	characteristic
17	C₂²×C₄×D₁₃	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
19	C₂²×C₈×C₁₃	C₂²	1	1	yes	characteristic
20	C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
21	#88193	C₄	1	1	yes	characteristic
22	#88191	C₄	1	1	yes	characteristic
23	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
24	C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
25	C₂²×#1055	C₂²	1	1	yes	characteristic
26	C₂²×#1055	C₂²	1	1	yes	characteristic, complemented
27	#88161	—	2	4	no	—
28	C₂×#6094	—	2	4	no	—
29	C₂×#6094	C₂²	1	1	yes	characteristic
30	C₂×#6094	C₂²	1	1	yes	characteristic
31	C₂×#6094	C₂²	1	1	yes	characteristic
32	C₂×#6094	C₂²	1	1	yes	characteristic
33	C₂×#6094	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₈×D₁₃	C₂²	1	1	yes	characteristic
35	C₂×C₈×D₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
37	#88150	C₄	1	1	yes	characteristic
38	#88148	C₄	1	1	yes	characteristic
39	#88138	C₄	1	1	yes	characteristic
40	#88137	C₄	1	1	yes	characteristic
41	#88136	C₄	1	1	yes	characteristic
42	#88132	C₄	1	1	yes	characteristic
43	C₄×D₅₂	C₂²	1	1	yes	characteristic
44	#88126	C₂²	1	1	yes	characteristic
45	C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
47	C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
49	C₂²⋊#1055	C₂²	1	1	yes	characteristic
50	C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
51	#88060	C₂²	1	1	yes	characteristic
52	#88060	C₂²	1	1	yes	characteristic
53	#88060	C₂²	1	1	yes	characteristic, complemented
54	#88060	C₂²	1	1	yes	characteristic, complemented
55	#88055	C₂²	1	1	yes	characteristic, complemented
56	#88054	C₂²	1	1	yes	characteristic, complemented
57	#88054	C₂²	1	1	yes	characteristic, complemented
58	C₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
59	C₄⋊#1055	C₂²	1	1	yes	characteristic, complemented
60	C₄×#1055	C₂²	1	1	yes	characteristic, complemented
61	C₂³×D₁₃	C₂×C₄	1	1	yes	characteristic
62	C₂×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
63	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
64	C₂²×C₄×C₁₃	C₂³	1	1	yes	characteristic
65	C₂×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
66	C₂×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
67	C₂×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
68	C₂×C₂²⋊D₁₃	C₂×C₄	1	1	yes	characteristic
69	C₂²×Dic₁₃	C₂×C₄	1	1	yes	characteristic
70	#6127	—	2	2	no	—
71	#6127	—	2	2	no	—
72	C₂×D₅₂	C₂×C₄	1	1	yes	characteristic
73	C₂×D₅₂	C₂×C₄	1	1	yes	characteristic
74	C₂×C₄×D₁₃	—	2	2	no	—
75	C₂×C₄×D₁₃	—	2	2	no	—
76	C₂×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
77	C₂×C₄×D₁₃	C₂×C₄	1	1	yes	characteristic
78	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
79	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
80	C₂×C₄×D₁₃	C₂³	1	1	yes	characteristic
81	C₂×Dic₂₆	C₂×C₄	1	1	yes	characteristic
82	C₁₃×M₁₆	—	2	2	no	—
83	C₂×C₈×C₁₃	—	2	2	no	—
84	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
85	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
86	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
87	C₂×C₈×C₁₃	C₂³	1	1	yes	characteristic
88	C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
89	C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
90	C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
91	C₄²×C₁₃	C₂³	1	1	yes	characteristic
92	C₂²⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
93	C₂²⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
94	#6103	C₂×C₄	1	1	yes	characteristic
95	#6103	C₂×C₄	1	1	yes	characteristic
96	#6103	C₂×C₄	1	1	yes	characteristic
97	#6103	C₂×C₄	1	1	yes	characteristic
98	#6103	C₂×C₄	1	1	yes	characteristic
99	#6103	C₂×C₄	1	1	yes	characteristic
100	C₄⋊Dic₁₃	C₂×C₄	1	1	yes	characteristic
101	#6101	C₂×C₄	1	1	yes	characteristic
102	#6101	C₂×C₄	1	1	yes	characteristic
103	#6101	C₂×C₄	1	1	yes	characteristic
104	#6101	C₂×C₄	1	1	yes	characteristic
105	C₄×Dic₁₃	C₂³	1	1	yes	characteristic
106	C₂×#1055	—	2	2	no	—
107	C₂×#1055	—	2	2	no	—
108	C₂×#1055	C₂³	1	1	yes	characteristic
109	C₂×#1055	C₂³	1	1	yes	characteristic
110	C₂×#1055	C₂³	1	1	yes	characteristic
111	C₂×#1055	C₂³	1	1	yes	characteristic
112	#6094	—	2	2	no	—
113	#6094	—	2	2	no	—
114	#6094	—	2	2	no	—
115	#6094	—	2	2	no	—
116	#6094	D₄	1	4	yes	complemented
117	C₈×D₁₃	—	2	2	no	—
118	C₈×D₁₃	—	2	2	no	—
119	C₈×D₁₃	—	2	2	no	—
120	#2933	—	13	1	no	maximal, Sylow
121	C₂³×C₁₃	C₂²×C₄	1	1	yes	characteristic
122	C₂³×C₁₃	C₂²×C₄	1	1	yes	characteristic
123	C₂²×D₁₃	—	2	2	no	—
124	C₂²×D₁₃	—	2	2	no	—
125	C₂²×D₁₃	—	4	1	no	—
126	C₂²×D₁₃	C₂²×C₄	1	1	yes	characteristic
127	C₂²×D₁₃	C₂²×C₄	1	1	yes	characteristic
128	C₂²×D₁₃	C₂²×C₄	1	1	yes	characteristic
129	D₄×C₁₃	—	2	2	no	—
130	C₂×C₄×C₁₃	—	2	1	no	—
131	C₂×C₄×C₁₃	—	2	1	no	—
132	C₂×C₄×C₁₃	—	2	1	no	—
133	C₂×C₄×C₁₃	—	2	1	no	—
134	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
135	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
136	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
137	C₂×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
138	C₂×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
139	C₂²⋊D₁₃	—	2	2	no	—
140	C₂²⋊D₁₃	—	2	2	no	—
141	C₂²⋊D₁₃	—	2	2	no	—
142	C₂²⋊D₁₃	—	4	1	no	—
143	C₂×Dic₁₃	—	2	2	no	—
144	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
145	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
146	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
147	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
148	C₂×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
149	D₅₂	—	2	2	no	—
150	D₅₂	—	4	1	no	—
151	C₄×D₁₃	—	2	2	no	—
152	C₄×D₁₃	—	2	1	no	—
153	C₄×D₁₃	—	2	1	no	—
154	C₄×D₁₃	—	2	1	no	—
155	C₄×D₁₃	—	2	1	no	—
156	C₄×D₁₃	—	2	2	no	—
157	C₄×D₁₃	C₂×D₄	1	2	yes	—
158	C₄×D₁₃	#41	1	2	yes	—
159	Dic₂₆	—	2	2	no	—
160	C₈×C₁₃	—	2	1	no	—
161	C₈×C₁₃	—	2	1	no	—
162	C₈×C₁₃	—	2	1	no	—
163	C₈×C₁₃	C₂×D₄	1	2	yes	—
164	#1055	—	2	1	no	—
165	#1055	—	2	1	no	—
166	#1055	—	2	1	no	—
167	#1055	C₂×D₄	1	2	yes	—
168	C₂×#131	—	13	1	no	—
169	C₂²×M₁₆	—	13	1	no	—
170	#525	—	13	1	no	—
171	#436	—	13	1	no	—
172	#436	—	13	1	no	—
173	#435	—	13	1	no	—
174	#435	—	13	1	no	—
175	#435	—	13	1	no	—
176	#435	D₁₃	1	1	yes	characteristic, complemented
177	C₈×D₄	—	13	1	no	—
178	C₈×D₄	—	13	1	no	—
179	#424	—	13	1	no	—
180	#408	—	13	1	no	—
181	C₂×C₂²⋊C₈	—	13	1	no	—
182	#405	—	13	1	no	—
183	C₂²×C₁₃	—	2	1	no	—
184	C₂²×C₁₃	—	2	1	no	—
185	C₂²×C₁₃	—	2	1	no	—
186	C₂²×C₁₃	—	2	1	no	—
187	C₂²×C₁₃	—	2	1	no	—
188	C₂²×C₁₃	#131	1	2	yes	complemented
189	C₂²×C₁₃	C₂³×C₄	1	1	yes	characteristic
190	C₂×D₁₃	—	2	1	no	—
191	C₂×D₁₃	—	2	1	no	—
192	C₂×D₁₃	—	2	1	no	—
193	C₂×D₁₃	—	2	1	no	—
194	C₂×D₁₃	—	2	1	no	—
195	C₂×D₁₃	—	2	1	no	—
196	C₂×D₁₃	—	2	1	no	—
197	C₂×D₁₃	—	2	1	no	—
198	C₂×D₁₃	—	4	4	no	—
199	C₂×D₁₃	C₄×D₄	1	2	yes	—
200	C₄×C₁₃	—	2	1	no	—
201	C₄×C₁₃	—	2	1	no	—
202	C₄×C₁₃	—	2	1	no	—
203	C₄×C₁₃	—	2	1	no	—
204	C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
205	C₄×C₁₃	C₂×#41	1	1	yes	characteristic
206	Dic₁₃	—	2	1	no	—
207	Dic₁₃	—	2	1	no	—
208	Dic₁₃	—	2	1	no	—
209	Dic₁₃	—	2	1	no	—
210	Dic₁₃	C₄×D₄	1	2	yes	—
211	C₂×#41	—	13	1	no	—
212	C₂³×C₄	—	13	1	no	—
213	#131	—	26	4	no	—
214	C₂×M₁₆	—	13	1	no	—
215	C₂×M₁₆	—	13	1	no	—
216	C₂×M₁₆	—	13	1	no	—
217	C₂×M₁₆	—	13	1	no	—
218	C₂×M₁₆	—	13	1	no	—
219	C₂×M₁₆	—	26	4	no	—
220	C₂×M₁₆	C₂×D₁₃	1	1	yes	characteristic, complemented
221	C₂²×C₈	—	13	1	no	—
222	C₂²×C₈	—	13	1	no	—
223	C₂²×C₈	—	13	1	no	—
224	C₂²×C₈	—	13	1	no	—
225	C₂²×C₈	—	13	1	no	—
226	C₂²×C₈	C₂×D₁₃	1	1	yes	characteristic
227	#123	—	13	1	no	—
228	#123	—	13	1	no	—
229	C₂²⋊Q₈	—	13	1	no	—
230	C₂²⋊Q₈	—	13	1	no	—
231	#121	—	13	1	no	—
232	#121	—	13	1	no	—
233	#120	—	13	1	no	—
234	#120	—	13	1	no	—
235	C₄×D₄	—	13	1	no	—
236	C₄×D₄	—	13	1	no	—
237	C₄×D₄	—	13	1	no	—
238	C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
239	#117	—	13	1	no	—
240	C₄⋊C₈	—	13	1	no	—
241	C₄⋊C₈	—	13	1	no	—
242	C₄⋊C₈	—	13	1	no	—
243	C₄⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
244	C₂²⋊C₈	—	13	1	no	—
245	C₂²⋊C₈	—	13	1	no	—
246	C₂²⋊C₈	—	13	1	no	—
247	C₂²⋊C₈	—	13	1	no	—
248	C₂²⋊C₈	—	13	1	no	—
249	C₂²⋊C₈	—	13	1	no	—
250	C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic
251	C₂²⋊C₈	C₂×D₁₃	1	1	yes	characteristic, complemented
252	#97	—	13	1	no	—
253	#97	C₂×D₁₃	1	1	yes	characteristic, complemented
254	C₄×C₈	—	13	1	no	—
255	C₄×C₈	—	13	1	no	—
256	C₂×C₁₃	—	2	2	no	—
257	C₂×C₁₃	—	4	1	no	—
258	C₂×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
259	C₂×C₁₃	C₂×#131	1	1	yes	characteristic
260	C₂×C₁₃	#568	1	1	yes	characteristic
261	D₁₃	—	2	2	no	—
262	D₁₃	—	4	1	no	—
263	D₁₃	—	4	1	no	—
264	C₂⁴	—	13	1	no	—
265	#41	—	26	2	no	—
266	#41	—	26	2	no	—
267	C₂×Q₈	—	13	1	no	—
268	C₂×D₄	—	13	1	no	—
269	C₂×D₄	—	13	1	no	—
270	C₂×D₄	—	13	1	no	—
271	C₂×D₄	—	13	1	no	—
272	C₂×D₄	—	13	1	no	—
273	C₂×D₄	—	13	1	no	—
274	C₂×D₄	C₄×D₁₃	1	1	yes	characteristic
275	C₂²×C₄	—	13	1	no	—
276	C₂²×C₄	—	13	1	no	—
277	C₂²×C₄	—	13	1	no	—
278	C₂²×C₄	—	13	1	no	—
279	C₂²×C₄	—	13	1	no	—
280	C₂²×C₄	—	13	1	no	—
281	C₂²×C₄	—	26	2	no	—
282	C₂²×C₄	—	26	2	no	—
283	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
284	C₂²×C₄	C₂²×D₁₃	1	1	yes	characteristic
285	M₁₆	—	2	2	no	—
286	M₁₆	—	13	4	no	—
287	M₁₆	—	26	2	no	—
288	M₁₆	—	26	2	no	—
289	M₁₆	—	26	2	no	—
290	M₁₆	—	26	2	no	—
291	C₂×C₈	—	2	2	no	—
292	C₂×C₈	—	13	1	no	—
293	C₂×C₈	—	13	1	no	—
294	C₂×C₈	—	13	1	no	—
295	C₂×C₈	—	13	1	no	—
296	C₂×C₈	—	26	2	no	—
297	C₂×C₈	—	26	2	no	—
298	C₂×C₈	—	26	2	no	—
299	C₂×C₈	—	26	2	no	—
300	C₂×C₈	—	26	2	no	—
301	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
302	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
303	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
304	C₂×C₈	C₂²×D₁₃	1	1	yes	characteristic
305	C₄⋊C₄	—	13	1	no	—
306	C₄⋊C₄	—	13	1	no	—
307	C₄⋊C₄	—	13	1	no	—
308	C₄⋊C₄	—	13	1	no	—
309	C₄⋊C₄	—	13	1	no	—
310	C₄⋊C₄	C₄×D₁₃	1	1	yes	characteristic
311	C₂²⋊C₄	—	13	1	no	—
312	C₂²⋊C₄	—	13	1	no	—
313	C₂²⋊C₄	—	13	1	no	—
314	C₂²⋊C₄	—	13	1	no	—
315	C₂²⋊C₄	—	13	1	no	—
316	C₂²⋊C₄	—	13	1	no	—
317	C₂²⋊C₄	—	13	1	no	—
318	C₂²⋊C₄	—	13	1	no	—
319	C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
320	C₂²⋊C₄	C₄×D₁₃	1	1	yes	characteristic
321	C₄²	—	13	1	no	—
322	C₄²	C₂²×D₁₃	1	1	yes	characteristic
323	C₁₃	#2933	1	1	yes	characteristic, complemented, Sylow
324	C₂³	—	13	1	no	—
325	C₂³	—	13	1	no	—
326	C₂³	—	13	1	no	—
327	C₂³	—	26	2	no	—
328	C₂³	—	26	2	no	—
329	C₂³	—	52	1	no	—
330	C₂³	C₂×C₄×D₁₃	1	1	yes	characteristic
331	C₂³	C₂×C₄×D₁₃	1	1	yes	characteristic
332	Q₈	—	26	2	no	—
333	D₄	—	2	2	no	—
334	D₄	—	26	2	no	—
335	D₄	—	26	2	no	—
336	D₄	—	26	2	no	—
337	D₄	—	26	2	no	—
338	D₄	—	52	1	no	—
339	D₄	—	52	1	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	13	1	no	—
345	C₂×C₄	—	13	2	no	—
346	C₂×C₄	—	13	2	no	—
347	C₂×C₄	—	13	1	no	—
348	C₂×C₄	—	13	1	no	—
349	C₂×C₄	—	13	1	no	—
350	C₂×C₄	—	13	1	no	—
351	C₂×C₄	—	26	2	no	—
352	C₂×C₄	—	26	2	no	—
353	C₂×C₄	—	26	2	no	—
354	C₂×C₄	—	26	1	no	—
355	C₂×C₄	—	26	1	no	—
356	C₂×C₄	—	26	1	no	—
357	C₂×C₄	—	26	1	no	—
358	C₂×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
359	C₂×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
360	C₂×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
361	C₂×C₄	C₂×C₄×D₁₃	1	1	yes	characteristic
362	C₂×C₄	C₂³×D₁₃	1	1	yes	characteristic
363	C₈	—	2	1	no	—
364	C₈	—	2	1	no	—
365	C₈	—	2	1	no	—
366	C₈	—	13	2	no	—
367	C₈	—	26	1	no	—
368	C₈	—	26	1	no	—
369	C₈	—	26	1	no	—
370	C₈	D₄×D₁₃	1	2	yes	—
371	C₂²	—	2	1	no	—
372	C₂²	—	2	1	no	—
373	C₂²	—	2	1	no	—
374	C₂²	—	2	1	no	—
375	C₂²	—	2	1	no	—
376	C₂²	—	13	2	no	—
377	C₂²	—	26	1	no	—
378	C₂²	—	26	1	no	—
379	C₂²	—	26	1	no	—
380	C₂²	—	26	1	no	—
381	C₂²	—	26	1	no	—
382	C₂²	—	26	1	no	—
383	C₂²	—	26	1	no	—
384	C₂²	—	26	1	no	—
385	C₂²	—	52	4	no	—
386	C₂²	#88161	1	2	yes	complemented
387	C₂²	C₂²×C₄×D₁₃	1	1	yes	characteristic
388	C₄	—	2	1	no	—
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	13	2	no	—
393	C₄	—	26	1	no	—
394	C₄	—	26	1	no	—
395	C₄	—	26	1	no	—
396	C₄	—	26	1	no	—
397	C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
398	C₄	#41×D₁₃	1	1	yes	characteristic
399	C₂	—	2	2	no	—
400	C₂	—	4	1	no	—
401	C₂	—	26	2	no	—
402	C₂	—	52	1	no	—
403	C₂	—	52	1	no	—
404	C₂	C₄×D₄×D₁₃	1	1	yes	characteristic
405	C₂	C₂×#88161	1	1	yes	characteristic
406	C₂	#11719455	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂³×D₁₃
commutator, socle	C₂²×C₁₃	C₂³×C₄
Fitting	C₁₃×#435	C₂
prime radical	#11719252	C₂
cosocle	C₂×C₄×C₁₃	C₂⁴
hypercenter	#435	D₁₃
hypocenter	C₁₃	#2933
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #435

Complements

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

N	H ≅ G/N	type
1. C₂×#88161	C₂	semidirect
2. C₂²×#6094	C₂	semidirect
4. C₁₃×#435	C₂	semidirect
5. #11718789	C₂	semidirect
6. C₈×C₂²⋊D₁₃	C₂	semidirect
7. D₄×#1055	C₂	semidirect
8. #11718500	C₂	semidirect
9. #11718499	C₂	semidirect
10. #11718391	C₂	semidirect
11. #11718391	C₂	semidirect
12. #11718388	C₂	semidirect
13. D₁₃×C₂²⋊C₈	C₂	semidirect
14. #11718369	C₂	semidirect
15. #11718367	C₂	semidirect
18. C₂×C₁₃×M₁₆	C₂²	semidirect
26. C₂²×#1055	C₂²	semidirect
33. C₂×#6094	C₂²	semidirect
36. C₂×C₈×D₁₃	C₂²	semidirect
45. C₁₃×C₄⋊C₈	C₂²	semidirect
47. C₁₃×C₂²⋊C₈	C₂²	semidirect
48. C₁₃×#97	C₂²	semidirect
50. C₂²⋊#1055	C₂²	semidirect
53. #88060	C₂²	semidirect
54. #88060	C₂²	semidirect
55. #88055	C₂²	semidirect
56. #88054	C₂²	semidirect
57. #88054	C₂²	semidirect
58. C₈×Dic₁₃	C₂²	semidirect
59. C₄⋊#1055	C₂²	semidirect
60. C₄×#1055	C₂²	semidirect
116. #6094	D₄	semidirect
176. #435	D₁₃	semidirect
188. C₂²×C₁₃	#131	semidirect
220. C₂×M₁₆	C₂×D₁₃	semidirect
243. C₄⋊C₈	C₂×D₁₃	semidirect
251. C₂²⋊C₈	C₂×D₁₃	semidirect
253. #97	C₂×D₁₃	semidirect
323. C₁₃	#2933	semidirect
386. C₂²	#88161	semidirect

Maximal subgroups

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

subgroup	index
C₂×#88161	2
C₂²×#6094	2
#11719252	2
C₁₃×#435	2
#11718789	2
C₈×C₂²⋊D₁₃	2
D₄×#1055	2
#11718500	2
#11718499	2
#11718391	2
#11718388	2
D₁₃×C₂²⋊C₈	2
#11718369	2
#11718367	2
#2933	13