Subgroups — C₁₃×#10275 #15696614

Order 3328.

562 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#487	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#476	C₂	1	1	yes	maximal, characteristic
3	C₂×C₁₃×#474	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#1954	C₂	1	1	yes	maximal, characteristic
5	C₂×C₁₃×#333	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×#332	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1277	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
9	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
10	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
11	C₁₃×#487	—	2	2	no	—
12	C₁₃×#487	—	2	2	no	—
13	C₁₃×#476	—	2	2	no	—
14	C₁₃×#476	—	2	2	no	—
15	C₁₃×#474	—	2	2	no	—
16	C₁₃×#474	—	2	2	no	—
17	C₂×C₁₃×#107	—	2	1	no	—
18	C₂×C₁₃×#106	—	2	1	no	—
19	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
20	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#103	—	2	2	no	—
23	C₂×C₁₃×#102	—	2	1	no	—
24	C₂×C₁₃×#102	—	2	1	no	—
25	C₂×C₁₃×C₂²⋊C₈	—	2	2	no	—
26	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
27	C₁₃×#333	—	2	2	no	—
28	C₁₃×#332	—	2	2	no	—
29	C₂²×Q₈×C₁₃	—	2	1	no	—
30	C₂²×Q₈×C₁₃	—	2	1	no	—
31	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
32	C₂³×C₄×C₁₃	—	2	1	no	—
33	C₂²×C₈×C₁₃	—	2	1	no	—
34	C₂²×C₈×C₁₃	—	2	1	no	—
35	C₂²×C₈×C₁₃	—	2	1	no	—
36	C₂²×C₈×C₁₃	D₄	1	2	yes	—
37	C₁₃×C₄⋊Q₈	—	2	1	no	—
38	C₁₃×C₄⋊Q₈	—	2	1	no	—
39	C₁₃×C₄⋊Q₈	—	2	1	no	—
40	C₁₃×C₄⋊Q₈	—	2	1	no	—
41	C₁₃×C₄⋊Q₈	—	2	1	no	—
42	C₁₃×C₄⋊Q₈	—	2	1	no	—
43	C₁₃×C₄⋊Q₈	D₄	1	2	yes	—
44	C₁₃×C₄⋊Q₈	D₄	1	2	yes	—
45	C₄×D₄×C₁₃	—	2	1	no	—
46	C₄×D₄×C₁₃	—	2	1	no	—
47	C₄×D₄×C₁₃	—	2	1	no	—
48	C₄×D₄×C₁₃	—	2	1	no	—
49	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
50	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
51	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
52	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
53	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
54	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
55	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
56	C₁₃×#107	—	2	4	no	—
57	C₁₃×#106	—	2	4	no	—
58	C₁₃×C₄⋊C₈	—	2	1	no	—
59	C₁₃×C₄⋊C₈	—	2	1	no	—
60	C₁₃×C₄⋊C₈	—	2	1	no	—
61	C₁₃×C₄⋊C₈	—	2	1	no	—
62	C₁₃×C₄⋊C₈	D₄	1	2	yes	—
63	C₁₃×C₄⋊C₈	D₄	1	2	yes	—
64	C₁₃×#103	—	2	8	no	—
65	C₁₃×#102	—	2	4	no	—
66	C₁₃×#102	—	2	4	no	—
67	C₁₃×C₂²⋊C₈	—	4	4	no	—
68	C₄×C₈×C₁₃	—	2	1	no	—
69	C₄×C₈×C₁₃	—	2	1	no	—
70	#10275	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
71	C₂⁴×C₁₃	—	2	1	no	—
72	C₂×Q₈×C₁₃	—	2	2	no	—
73	C₂×Q₈×C₁₃	—	2	2	no	—
74	C₂×Q₈×C₁₃	—	4	1	no	—
75	C₂×Q₈×C₁₃	—	4	1	no	—
76	C₂×Q₈×C₁₃	—	4	2	no	—
77	C₂×Q₈×C₁₃	—	4	2	no	—
78	C₂×Q₈×C₁₃	—	8	2	no	—
79	C₂×D₄×C₁₃	—	2	1	no	—
80	C₂×D₄×C₁₃	—	2	1	no	—
81	C₂×D₄×C₁₃	—	2	1	no	—
82	C₂×D₄×C₁₃	—	2	1	no	—
83	C₂×D₄×C₁₃	—	2	1	no	—
84	C₂×D₄×C₁₃	Q₁₆	1	2	yes	—
85	C₂²×C₄×C₁₃	—	2	1	no	—
86	C₂²×C₄×C₁₃	—	4	1	no	—
87	C₂²×C₄×C₁₃	—	4	1	no	—
88	C₂²×C₄×C₁₃	—	4	1	no	—
89	C₂²×C₄×C₁₃	—	4	1	no	—
90	C₂²×C₄×C₁₃	—	4	2	no	—
91	C₂²×C₄×C₁₃	—	4	2	no	—
92	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
93	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
95	C₂×C₈×C₁₃	—	2	2	no	—
96	C₂×C₈×C₁₃	—	2	2	no	—
97	C₂×C₈×C₁₃	—	2	2	no	—
98	C₂×C₈×C₁₃	—	2	2	no	—
99	C₂×C₈×C₁₃	—	2	2	no	—
100	C₂×C₈×C₁₃	—	4	1	no	—
101	C₂×C₈×C₁₃	—	4	1	no	—
102	C₂×C₈×C₁₃	—	4	1	no	—
103	C₂×C₈×C₁₃	—	4	1	no	—
104	C₂×C₈×C₁₃	—	4	1	no	—
105	C₂×C₈×C₁₃	—	4	2	no	—
106	C₁₃×C₄⋊C₄	—	2	2	no	—
107	C₁₃×C₄⋊C₄	—	2	2	no	—
108	C₁₃×C₄⋊C₄	—	2	2	no	—
109	C₁₃×C₄⋊C₄	—	2	1	no	—
110	C₁₃×C₄⋊C₄	—	2	1	no	—
111	C₁₃×C₄⋊C₄	—	2	2	no	—
112	C₁₃×C₄⋊C₄	—	4	1	no	—
113	C₁₃×C₄⋊C₄	—	4	1	no	—
114	C₁₃×C₄⋊C₄	—	4	1	no	—
115	C₁₃×C₄⋊C₄	—	4	1	no	—
116	C₁₃×C₂²⋊C₄	—	4	1	no	—
117	C₁₃×C₂²⋊C₄	—	4	1	no	—
118	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
119	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
120	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
121	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
122	C₂×#487	C₂×C₁₃	1	1	yes	characteristic, complemented
123	C₂×#476	C₂×C₁₃	1	1	yes	characteristic
124	C₂×#474	C₂×C₁₃	1	1	yes	characteristic
125	#1954	C₂×C₁₃	1	1	yes	characteristic
126	C₂×#333	C₂×C₁₃	1	1	yes	characteristic, complemented
127	C₂×#332	C₂×C₁₃	1	1	yes	characteristic, complemented
128	#1277	C₂×C₁₃	1	1	yes	characteristic, complemented
129	C₂³×C₁₃	—	2	2	no	—
130	C₂³×C₁₃	—	4	1	no	—
131	C₂³×C₁₃	—	4	2	no	—
132	C₂³×C₁₃	—	4	1	no	—
133	C₂³×C₁₃	—	4	2	no	—
134	C₂³×C₁₃	#121	1	1	yes	characteristic
135	Q₈×C₁₃	—	4	4	no	—
136	Q₈×C₁₃	—	8	2	no	—
137	Q₈×C₁₃	—	8	2	no	—
138	Q₈×C₁₃	—	8	1	no	—
139	Q₈×C₁₃	—	8	1	no	—
140	D₄×C₁₃	—	2	2	no	—
141	D₄×C₁₃	—	2	2	no	—
142	D₄×C₁₃	—	4	1	no	—
143	D₄×C₁₃	—	4	1	no	—
144	C₂×C₄×C₁₃	—	2	2	no	—
145	C₂×C₄×C₁₃	—	4	1	no	—
146	C₂×C₄×C₁₃	—	4	2	no	—
147	C₂×C₄×C₁₃	—	4	2	no	—
148	C₂×C₄×C₁₃	—	4	2	no	—
149	C₂×C₄×C₁₃	—	8	2	no	—
150	C₂×C₄×C₁₃	—	8	2	no	—
151	C₂×C₄×C₁₃	—	8	2	no	—
152	C₂×C₄×C₁₃	—	8	1	no	—
153	C₂×C₄×C₁₃	—	8	1	no	—
154	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
155	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
156	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
157	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
158	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
159	C₂×C₄×C₁₃	#127	1	1	yes	characteristic
160	C₂×C₄×C₁₃	C₂×Q₁₆	1	1	yes	characteristic
161	C₂×C₄×C₁₃	#135	1	2	yes	—
162	C₂×C₄×C₁₃	#135	1	1	yes	characteristic
163	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
164	C₂×C₄×C₁₃	#137	1	1	yes	characteristic
165	C₂×C₄×C₁₃	#137	1	1	yes	characteristic
166	C₈×C₁₃	—	4	2	no	—
167	C₈×C₁₃	—	4	2	no	—
168	C₈×C₁₃	—	4	2	no	—
169	C₈×C₁₃	—	8	1	no	—
170	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
171	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
172	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
173	#487	—	2	2	no	—
174	#487	—	2	2	no	—
175	#476	—	2	2	no	—
176	#476	—	2	2	no	—
177	#474	—	2	2	no	—
178	#474	—	2	2	no	—
179	C₂×#107	—	2	1	no	—
180	C₂×#106	—	2	1	no	—
181	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
182	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
183	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
184	C₂×#103	—	2	2	no	—
185	C₂×#102	—	2	1	no	—
186	C₂×#102	—	2	1	no	—
187	C₂×C₂²⋊C₈	—	2	2	no	—
188	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
189	#333	—	2	2	no	—
190	#332	—	2	2	no	—
191	C₂²×C₁₃	—	4	4	no	—
192	C₂²×C₁₃	—	4	2	no	—
193	C₂²×C₁₃	—	8	2	no	—
194	C₂²×C₁₃	—	8	1	no	—
195	C₂²×C₁₃	—	8	1	no	—
196	C₂²×C₁₃	#392	1	1	yes	characteristic
197	C₂²×C₁₃	#463	1	2	yes	—
198	C₂²×C₁₃	#467	1	1	yes	characteristic
199	C₂²×C₁₃	#470	1	1	yes	characteristic
200	C₂²×C₁₃	#471	1	2	yes	—
201	C₄×C₁₃	—	2	1	no	—
202	C₄×C₁₃	—	2	1	no	—
203	C₄×C₁₃	—	8	1	no	—
204	C₄×C₁₃	—	8	2	no	—
205	C₄×C₁₃	—	8	2	no	—
206	C₄×C₁₃	#449	1	2	yes	—
207	C₄×C₁₃	#451	1	1	yes	characteristic
208	C₄×C₁₃	#451	1	1	yes	characteristic
209	C₄×C₁₃	#452	1	1	yes	characteristic
210	C₄×C₁₃	#452	1	1	yes	characteristic
211	C₄×C₁₃	#495	1	1	yes	characteristic
212	C₄×C₁₃	#496	1	1	yes	characteristic
213	C₂²×Q₈	—	2	1	no	—
214	C₂²×Q₈	—	2	1	no	—
215	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
216	C₂³×C₄	—	2	1	no	—
217	C₂²×C₈	—	2	1	no	—
218	C₂²×C₈	—	2	1	no	—
219	C₂²×C₈	—	2	1	no	—
220	C₂²×C₈	D₄×C₁₃	1	2	yes	—
221	C₄⋊Q₈	—	2	1	no	—
222	C₄⋊Q₈	—	2	1	no	—
223	C₄⋊Q₈	—	2	1	no	—
224	C₄⋊Q₈	—	2	1	no	—
225	C₄⋊Q₈	—	2	1	no	—
226	C₄⋊Q₈	—	2	1	no	—
227	C₄⋊Q₈	D₄×C₁₃	1	2	yes	—
228	C₄⋊Q₈	D₄×C₁₃	1	2	yes	—
229	C₄×D₄	—	2	1	no	—
230	C₄×D₄	—	2	1	no	—
231	C₄×D₄	—	2	1	no	—
232	C₄×D₄	—	2	1	no	—
233	C₂×C₄⋊C₄	—	2	1	no	—
234	C₂×C₄⋊C₄	—	2	1	no	—
235	C₂×C₄⋊C₄	—	2	1	no	—
236	C₂×C₄⋊C₄	—	2	1	no	—
237	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
238	C₂×C₂²⋊C₄	—	2	1	no	—
239	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
240	#107	—	2	4	no	—
241	#106	—	2	4	no	—
242	C₄⋊C₈	—	2	1	no	—
243	C₄⋊C₈	—	2	1	no	—
244	C₄⋊C₈	—	2	1	no	—
245	C₄⋊C₈	—	2	1	no	—
246	C₄⋊C₈	D₄×C₁₃	1	2	yes	—
247	C₄⋊C₈	D₄×C₁₃	1	2	yes	—
248	#103	—	2	8	no	—
249	#102	—	2	4	no	—
250	#102	—	2	4	no	—
251	C₂²⋊C₈	—	4	4	no	—
252	C₄×C₈	—	2	1	no	—
253	C₄×C₈	—	2	1	no	—
254	C₂×C₁₃	—	8	2	no	—
255	C₂×C₁₃	#1683	1	2	yes	—
256	C₂×C₁₃	#1703	1	2	yes	—
257	C₂×C₁₃	#2001	1	1	yes	characteristic
258	C₂×C₁₃	#2012	1	1	yes	characteristic
259	C₂×C₁₃	#2019	1	1	yes	characteristic
260	C₂⁴	—	2	1	no	—
261	C₂×Q₈	—	2	2	no	—
262	C₂×Q₈	—	2	2	no	—
263	C₂×Q₈	—	4	1	no	—
264	C₂×Q₈	—	4	1	no	—
265	C₂×Q₈	—	4	2	no	—
266	C₂×Q₈	—	4	2	no	—
267	C₂×Q₈	—	8	2	no	—
268	C₂×D₄	—	2	1	no	—
269	C₂×D₄	—	2	1	no	—
270	C₂×D₄	—	2	1	no	—
271	C₂×D₄	—	2	1	no	—
272	C₂×D₄	—	2	1	no	—
273	C₂×D₄	C₁₃×Q₁₆	1	2	yes	—
274	C₂²×C₄	—	2	1	no	—
275	C₂²×C₄	—	4	1	no	—
276	C₂²×C₄	—	4	1	no	—
277	C₂²×C₄	—	4	1	no	—
278	C₂²×C₄	—	4	1	no	—
279	C₂²×C₄	—	4	2	no	—
280	C₂²×C₄	—	4	2	no	—
281	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
282	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
283	C₂²×C₄	C₁₃×#41	1	1	yes	characteristic
284	C₂×C₈	—	2	2	no	—
285	C₂×C₈	—	2	2	no	—
286	C₂×C₈	—	2	2	no	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	4	1	no	—
290	C₂×C₈	—	4	1	no	—
291	C₂×C₈	—	4	1	no	—
292	C₂×C₈	—	4	1	no	—
293	C₂×C₈	—	4	1	no	—
294	C₂×C₈	—	4	2	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	2	2	no	—
298	C₄⋊C₄	—	2	1	no	—
299	C₄⋊C₄	—	2	1	no	—
300	C₄⋊C₄	—	2	2	no	—
301	C₄⋊C₄	—	4	1	no	—
302	C₄⋊C₄	—	4	1	no	—
303	C₄⋊C₄	—	4	1	no	—
304	C₄⋊C₄	—	4	1	no	—
305	C₂²⋊C₄	—	4	1	no	—
306	C₂²⋊C₄	—	4	1	no	—
307	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
308	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
309	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
310	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
311	C₁₃	#10275	1	1	yes	characteristic, direct product factor, Sylow
312	C₂³	—	2	2	no	—
313	C₂³	—	4	1	no	—
314	C₂³	—	4	2	no	—
315	C₂³	—	4	1	no	—
316	C₂³	—	4	2	no	—
317	C₂³	C₁₃×#121	1	1	yes	characteristic
318	Q₈	—	4	4	no	—
319	Q₈	—	8	2	no	—
320	Q₈	—	8	2	no	—
321	Q₈	—	8	1	no	—
322	Q₈	—	8	1	no	—
323	D₄	—	2	2	no	—
324	D₄	—	2	2	no	—
325	D₄	—	4	1	no	—
326	D₄	—	4	1	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	4	1	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	8	2	no	—
333	C₂×C₄	—	8	2	no	—
334	C₂×C₄	—	8	2	no	—
335	C₂×C₄	—	8	1	no	—
336	C₂×C₄	—	8	1	no	—
337	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
338	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
339	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
340	C₂×C₄	C₁₃×#121	1	1	yes	characteristic
341	C₂×C₄	C₁₃×#121	1	1	yes	characteristic
342	C₂×C₄	C₁₃×#127	1	1	yes	characteristic
343	C₂×C₄	C₂×C₁₃×Q₁₆	1	1	yes	characteristic
344	C₂×C₄	C₁₃×#135	1	2	yes	—
345	C₂×C₄	C₁₃×#135	1	1	yes	characteristic
346	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	2	yes	—
347	C₂×C₄	C₁₃×#137	1	1	yes	characteristic
348	C₂×C₄	C₁₃×#137	1	1	yes	characteristic
349	C₈	—	4	2	no	—
350	C₈	—	4	2	no	—
351	C₈	—	4	2	no	—
352	C₈	—	8	1	no	—
353	C₂²	—	4	2	no	—
354	C₂²	—	4	4	no	—
355	C₂²	—	8	1	no	—
356	C₂²	—	8	1	no	—
357	C₂²	—	8	2	no	—
358	C₂²	C₁₃×#392	1	1	yes	characteristic
359	C₂²	C₁₃×#463	1	2	yes	—
360	C₂²	C₁₃×#467	1	1	yes	characteristic
361	C₂²	C₁₃×#470	1	1	yes	characteristic
362	C₂²	C₁₃×#471	1	2	yes	—
363	C₄	—	2	1	no	—
364	C₄	—	2	1	no	—
365	C₄	—	8	1	no	—
366	C₄	—	8	2	no	—
367	C₄	—	8	2	no	—
368	C₄	C₁₃×#449	1	2	yes	—
369	C₄	C₁₃×#451	1	1	yes	characteristic
370	C₄	C₁₃×#451	1	1	yes	characteristic
371	C₄	C₁₃×#452	1	1	yes	characteristic
372	C₄	C₁₃×#452	1	1	yes	characteristic
373	C₄	C₁₃×#495	1	1	yes	characteristic
374	C₄	C₁₃×#496	1	1	yes	characteristic
375	C₂	—	8	2	no	—
376	C₂	C₁₃×#1683	1	2	yes	—
377	C₂	C₁₃×#1703	1	2	yes	—
378	C₂	C₁₃×#2001	1	1	yes	characteristic
379	C₂	C₁₃×#2012	1	1	yes	characteristic
380	C₂	C₁₃×#2019	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	#121
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₃
prime radical	C₂²×D₄×C₁₃	D₄
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₄²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#487	C₂	semidirect
5. C₂×C₁₃×#333	C₂	semidirect
6. C₂×C₁₃×#332	C₂	semidirect
7. C₁₃×#1277	C₂	semidirect
70. #10275	C₁₃	direct (N × H)
122. C₂×#487	C₂×C₁₃	semidirect
126. C₂×#333	C₂×C₁₃	semidirect
127. C₂×#332	C₂×C₁₃	semidirect
128. #1277	C₂×C₁₃	semidirect
311. C₁₃	#10275	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#487	2
C₂×C₁₃×#476	2
C₂×C₁₃×#474	2
C₁₃×#1954	2
C₂×C₁₃×#333	2
C₂×C₁₃×#332	2
C₁₃×#1277	2
#10275	13

Subgroups — C13×#10275 #15696614

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#10275 #15696614