Subgroups — C₁₃×#29387 #15715726

Order 3328.

646 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	C₁₃×#2956	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2923	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2103	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2098	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2053	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2017	C₂	1	1	yes	maximal, characteristic
7	C₁₃×#1938	C₂	1	2	yes	maximal, complemented
8	C₁₃×#1906	C₂	1	2	yes	maximal, complemented
9	C₁₃×#1881	C₂	1	2	yes	maximal, complemented
10	C₁₃×#1868	C₂	1	2	yes	maximal, complemented
11	C₁₃×#1841	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#575	C₂²	1	1	yes	characteristic
13	C₁₃×#575	C₂²	1	2	yes	—
14	C₁₃×#568	C₂²	1	2	yes	—
15	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
16	C₁₃×#444	—	2	2	no	—
17	C₁₃×#443	—	2	2	no	—
18	C₁₃×#433	—	2	2	no	—
19	C₁₃×#432	—	2	2	no	—
20	C₁₃×#430	C₂²	1	1	yes	characteristic
21	C₁₃×#424	C₂²	1	1	yes	characteristic
22	C₁₃×#424	C₂²	1	1	yes	characteristic
23	C₁₃×#424	C₂²	1	2	yes	—
24	C₁₃×#421	C₂²	1	2	yes	—
25	C₂×C₁₃×#104	C₂²	1	2	yes	—
26	C₁₃×#416	C₂²	1	2	yes	—
27	C₁₃×#410	C₂²	1	2	yes	—
28	C₁₃×#408	C₂²	1	1	yes	characteristic
29	C₁₃×#408	C₂²	1	1	yes	characteristic
30	C₁₃×#408	C₂²	1	2	yes	—
31	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
33	C₁₃×#344	C₂²	1	2	yes	—
34	C₁₃×#344	C₂²	1	2	yes	—
35	C₁₃×#341	C₂²	1	2	yes	—
36	C₁₃×#339	C₂²	1	2	yes	—
37	C₁₃×#338	C₂²	1	1	yes	characteristic
38	C₁₃×H(3,ℤ/4)	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
40	C₂×C₁₃×#41	C₂³	1	2	yes	—
41	C₁₃×#137	—	2	2	no	—
42	C₁₃×#137	—	2	2	no	—
43	C₁₃×#137	—	2	2	no	—
44	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
45	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
46	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
47	C₁₃×#135	—	2	2	no	—
48	C₁₃×#135	—	4	2	no	—
49	C₁₃×#131	—	2	4	no	—
50	C₁₃×#131	—	4	2	no	—
51	C₂×C₁₃×M₁₆	—	4	2	no	—
52	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
53	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
54	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
55	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
56	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
57	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
58	C₄×Q₈×C₁₃	—	2	1	no	—
59	C₄×D₄×C₁₃	—	2	1	no	—
60	C₄×D₄×C₁₃	—	2	2	no	—
61	C₁₃×#117	—	2	1	no	—
62	C₁₃×#117	C₂³	1	2	yes	—
63	C₁₃×#117	C₂³	1	1	yes	characteristic
64	C₂×C₄²×C₁₃	—	2	1	no	—
65	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
66	C₁₃×#108	—	2	2	no	—
67	C₁₃×C₄⋊C₈	—	2	2	no	—
68	C₁₃×C₄⋊C₈	—	2	2	no	—
69	C₁₃×C₄⋊C₈	—	4	2	no	—
70	C₁₃×#104	—	2	2	no	—
71	C₁₃×#104	—	2	2	no	—
72	C₁₃×#104	—	4	2	no	—
73	C₁₃×#103	—	2	2	no	—
74	C₁₃×#102	—	2	2	no	—
75	C₁₃×#99	—	2	4	no	—
76	C₁₃×C₂²⋊C₈	—	2	2	no	—
77	C₁₃×C₂²⋊C₈	—	2	2	no	—
78	C₁₃×C₂²⋊C₈	—	4	2	no	—
79	C₁₃×#97	—	2	1	no	—
80	C₁₃×#97	—	2	1	no	—
81	C₁₃×#97	D₄	1	2	yes	—
82	C₄×C₈×C₁₃	D₄	1	2	yes	—
83	#29387	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
84	C₁₃×#41	—	2	2	no	—
85	C₁₃×#41	—	2	2	no	—
86	C₁₃×#41	—	2	2	no	—
87	C₁₃×#41	—	2	2	no	—
88	C₁₃×#41	—	2	2	no	—
89	C₁₃×#41	—	2	2	no	—
90	C₂×Q₈×C₁₃	#41	1	2	yes	—
91	C₂×Q₈×C₁₃	#41	1	1	yes	characteristic
92	C₂×D₄×C₁₃	—	2	2	no	—
93	C₂×D₄×C₁₃	—	2	1	no	—
94	C₂×D₄×C₁₃	#41	1	2	yes	—
95	C₂×D₄×C₁₃	#41	1	1	yes	characteristic
96	C₂²×C₄×C₁₃	—	2	2	no	—
97	C₂²×C₄×C₁₃	—	2	1	no	—
98	C₂²×C₄×C₁₃	—	2	1	no	—
99	C₂²×C₄×C₁₃	—	2	2	no	—
100	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
101	C₁₃×Q₁₆	—	2	2	no	—
102	C₁₃×Q₁₆	—	4	2	no	—
103	C₁₃×SD₁₆	—	2	4	no	—
104	C₁₃×SD₁₆	—	4	2	no	—
105	C₁₃×SD₁₆	—	4	2	no	—
106	C₁₃×D₈	—	2	2	no	—
107	C₁₃×D₈	—	4	2	no	—
108	C₁₃×M₁₆	—	2	2	no	—
109	C₁₃×M₁₆	—	2	2	no	—
110	C₁₃×M₁₆	—	2	2	no	—
111	C₁₃×M₁₆	—	2	2	no	—
112	C₁₃×M₁₆	—	2	2	no	—
113	C₁₃×M₁₆	—	2	2	no	—
114	C₁₃×M₁₆	—	4	4	no	—
115	C₂×C₈×C₁₃	—	2	1	no	—
116	C₂×C₈×C₁₃	—	2	1	no	—
117	C₂×C₈×C₁₃	—	2	2	no	—
118	C₂×C₈×C₁₃	—	2	2	no	—
119	C₂×C₈×C₁₃	—	2	2	no	—
120	C₂×C₈×C₁₃	—	2	2	no	—
121	C₂×C₈×C₁₃	—	4	4	no	—
122	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
123	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
124	C₁₃×C₄⋊C₄	—	2	2	no	—
125	C₁₃×C₄⋊C₄	—	2	1	no	—
126	C₁₃×C₄⋊C₄	—	2	2	no	—
127	C₁₃×C₂²⋊C₄	—	2	2	no	—
128	C₁₃×C₂²⋊C₄	—	2	2	no	—
129	C₁₃×C₂²⋊C₄	#41	1	2	yes	—
130	C₄²×C₁₃	—	2	2	no	—
131	C₄²×C₁₃	—	2	1	no	—
132	C₄²×C₁₃	—	2	1	no	—
133	C₄²×C₁₃	—	2	2	no	—
134	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
135	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
136	#2956	C₂×C₁₃	1	1	yes	characteristic, complemented
137	#2923	C₂×C₁₃	1	1	yes	characteristic, complemented
138	#2103	C₂×C₁₃	1	1	yes	characteristic, complemented
139	#2098	C₂×C₁₃	1	1	yes	characteristic, complemented
140	#2053	C₂×C₁₃	1	1	yes	characteristic, complemented
141	#2017	C₂×C₁₃	1	1	yes	characteristic
142	#1938	C₂×C₁₃	1	2	yes	complemented
143	#1906	C₂×C₁₃	1	2	yes	complemented
144	#1881	C₂×C₁₃	1	2	yes	complemented
145	#1868	C₂×C₁₃	1	2	yes	complemented
146	#1841	C₂×C₁₃	1	1	yes	characteristic, complemented
147	C₂³×C₁₃	—	2	1	no	—
148	C₂³×C₁₃	—	2	2	no	—
149	C₂³×C₁₃	C₂×#41	1	1	yes	characteristic
150	Q₈×C₁₃	—	2	2	no	—
151	Q₈×C₁₃	—	2	2	no	—
152	Q₈×C₁₃	—	2	2	no	—
153	D₄×C₁₃	—	2	2	no	—
154	D₄×C₁₃	—	2	2	no	—
155	D₄×C₁₃	—	2	2	no	—
156	D₄×C₁₃	—	4	2	no	—
157	D₄×C₁₃	—	4	2	no	—
158	D₄×C₁₃	—	4	2	no	—
159	C₂×C₄×C₁₃	—	2	1	no	—
160	C₂×C₄×C₁₃	—	2	2	no	—
161	C₂×C₄×C₁₃	—	2	1	no	—
162	C₂×C₄×C₁₃	—	2	1	no	—
163	C₂×C₄×C₁₃	—	2	2	no	—
164	C₂×C₄×C₁₃	—	4	1	no	—
165	C₂×C₄×C₁₃	—	4	2	no	—
166	C₂×C₄×C₁₃	—	4	1	no	—
167	C₂×C₄×C₁₃	—	4	2	no	—
168	C₂×C₄×C₁₃	—	4	2	no	—
169	C₂×C₄×C₁₃	—	8	1	no	—
170	C₂×C₄×C₁₃	—	8	2	no	—
171	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
172	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
173	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
174	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
175	C₈×C₁₃	—	2	2	no	—
176	C₈×C₁₃	—	2	2	no	—
177	C₈×C₁₃	—	4	1	no	—
178	C₈×C₁₃	—	4	1	no	—
179	C₈×C₁₃	—	4	2	no	—
180	C₈×C₁₃	—	4	2	no	—
181	#575	C₂²×C₁₃	1	1	yes	characteristic
182	#575	C₂²×C₁₃	1	2	yes	—
183	#568	C₂²×C₁₃	1	2	yes	—
184	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
185	#444	—	2	2	no	—
186	#443	—	2	2	no	—
187	#433	—	2	2	no	—
188	#432	—	2	2	no	—
189	#430	C₂²×C₁₃	1	1	yes	characteristic
190	#424	C₂²×C₁₃	1	1	yes	characteristic
191	#424	C₂²×C₁₃	1	1	yes	characteristic
192	#424	C₂²×C₁₃	1	2	yes	—
193	#421	C₂²×C₁₃	1	2	yes	—
194	C₂×#104	C₂²×C₁₃	1	2	yes	—
195	#416	C₂²×C₁₃	1	2	yes	—
196	#410	C₂²×C₁₃	1	2	yes	—
197	#408	C₂²×C₁₃	1	1	yes	characteristic
198	#408	C₂²×C₁₃	1	1	yes	characteristic
199	#408	C₂²×C₁₃	1	2	yes	—
200	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
201	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
202	#344	C₂²×C₁₃	1	2	yes	—
203	#344	C₂²×C₁₃	1	2	yes	—
204	#341	C₂²×C₁₃	1	2	yes	—
205	#339	C₂²×C₁₃	1	2	yes	—
206	#338	C₂²×C₁₃	1	1	yes	characteristic
207	H(3,ℤ/4)	C₂²×C₁₃	1	1	yes	characteristic
208	C₂²×C₁₃	—	4	1	no	—
209	C₂²×C₁₃	—	4	2	no	—
210	C₂²×C₁₃	—	4	1	no	—
211	C₂²×C₁₃	—	4	2	no	—
212	C₂²×C₁₃	—	8	2	no	—
213	C₂²×C₁₃	#525	1	1	yes	characteristic
214	C₂²×C₁₃	#553	1	2	yes	—
215	C₄×C₁₃	—	4	2	no	—
216	C₄×C₁₃	—	4	1	no	—
217	C₄×C₁₃	—	4	1	no	—
218	C₄×C₁₃	—	4	1	no	—
219	C₄×C₁₃	—	4	2	no	—
220	C₄×C₁₃	—	8	2	no	—
221	C₄×C₁₃	#525	1	1	yes	characteristic
222	C₄×C₁₃	#535	1	1	yes	characteristic
223	C₄×C₁₃	#551	1	2	yes	—
224	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
225	C₂×#41	C₂³×C₁₃	1	2	yes	—
226	#137	—	2	2	no	—
227	#137	—	2	2	no	—
228	#137	—	2	2	no	—
229	AGL(1,ℤ/8)	—	2	2	no	—
230	AGL(1,ℤ/8)	—	2	2	no	—
231	AGL(1,ℤ/8)	—	2	2	no	—
232	#135	—	2	2	no	—
233	#135	—	4	2	no	—
234	#131	—	2	4	no	—
235	#131	—	4	2	no	—
236	C₂×M₁₆	—	4	2	no	—
237	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
238	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
239	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
240	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
241	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
242	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
243	C₄×Q₈	—	2	1	no	—
244	C₄×D₄	—	2	1	no	—
245	C₄×D₄	—	2	2	no	—
246	#117	—	2	1	no	—
247	#117	C₂³×C₁₃	1	2	yes	—
248	#117	C₂³×C₁₃	1	1	yes	characteristic
249	C₂×C₄²	—	2	1	no	—
250	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
251	#108	—	2	2	no	—
252	C₄⋊C₈	—	2	2	no	—
253	C₄⋊C₈	—	2	2	no	—
254	C₄⋊C₈	—	4	2	no	—
255	#104	—	2	2	no	—
256	#104	—	2	2	no	—
257	#104	—	4	2	no	—
258	#103	—	2	2	no	—
259	#102	—	2	2	no	—
260	#99	—	2	4	no	—
261	C₂²⋊C₈	—	2	2	no	—
262	C₂²⋊C₈	—	2	2	no	—
263	C₂²⋊C₈	—	4	2	no	—
264	#97	—	2	1	no	—
265	#97	—	2	1	no	—
266	#97	D₄×C₁₃	1	2	yes	—
267	C₄×C₈	D₄×C₁₃	1	2	yes	—
268	C₂×C₁₃	—	2	1	no	—
269	C₂×C₁₃	—	2	2	no	—
270	C₂×C₁₃	—	8	1	no	—
271	C₂×C₁₃	—	8	2	no	—
272	C₂×C₁₃	#2598	1	1	yes	characteristic
273	#41	—	2	2	no	—
274	#41	—	2	2	no	—
275	#41	—	2	2	no	—
276	#41	—	2	2	no	—
277	#41	—	2	2	no	—
278	#41	—	2	2	no	—
279	C₂×Q₈	C₁₃×#41	1	2	yes	—
280	C₂×Q₈	C₁₃×#41	1	1	yes	characteristic
281	C₂×D₄	—	2	2	no	—
282	C₂×D₄	—	2	1	no	—
283	C₂×D₄	C₁₃×#41	1	2	yes	—
284	C₂×D₄	C₁₃×#41	1	1	yes	characteristic
285	C₂²×C₄	—	2	2	no	—
286	C₂²×C₄	—	2	1	no	—
287	C₂²×C₄	—	2	1	no	—
288	C₂²×C₄	—	2	2	no	—
289	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
290	Q₁₆	—	2	2	no	—
291	Q₁₆	—	4	2	no	—
292	SD₁₆	—	2	4	no	—
293	SD₁₆	—	4	2	no	—
294	SD₁₆	—	4	2	no	—
295	D₈	—	2	2	no	—
296	D₈	—	4	2	no	—
297	M₁₆	—	2	2	no	—
298	M₁₆	—	2	2	no	—
299	M₁₆	—	2	2	no	—
300	M₁₆	—	2	2	no	—
301	M₁₆	—	2	2	no	—
302	M₁₆	—	2	2	no	—
303	M₁₆	—	4	4	no	—
304	C₂×C₈	—	2	1	no	—
305	C₂×C₈	—	2	1	no	—
306	C₂×C₈	—	2	2	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	—	2	2	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	4	4	no	—
311	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
312	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
313	C₄⋊C₄	—	2	2	no	—
314	C₄⋊C₄	—	2	1	no	—
315	C₄⋊C₄	—	2	2	no	—
316	C₂²⋊C₄	—	2	2	no	—
317	C₂²⋊C₄	—	2	2	no	—
318	C₂²⋊C₄	C₁₃×#41	1	2	yes	—
319	C₄²	—	2	2	no	—
320	C₄²	—	2	1	no	—
321	C₄²	—	2	1	no	—
322	C₄²	—	2	2	no	—
323	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
324	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
325	C₁₃	#29387	1	1	yes	characteristic, direct product factor, Sylow
326	C₂³	—	2	1	no	—
327	C₂³	—	2	2	no	—
328	C₂³	C₂×C₁₃×#41	1	1	yes	characteristic
329	Q₈	—	2	2	no	—
330	Q₈	—	2	2	no	—
331	Q₈	—	2	2	no	—
332	D₄	—	2	2	no	—
333	D₄	—	2	2	no	—
334	D₄	—	2	2	no	—
335	D₄	—	4	2	no	—
336	D₄	—	4	2	no	—
337	D₄	—	4	2	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	2	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	8	1	no	—
349	C₂×C₄	—	8	2	no	—
350	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
351	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
352	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
353	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
354	C₈	—	2	2	no	—
355	C₈	—	2	2	no	—
356	C₈	—	4	1	no	—
357	C₈	—	4	1	no	—
358	C₈	—	4	2	no	—
359	C₈	—	4	2	no	—
360	C₂²	—	4	1	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	1	no	—
363	C₂²	—	4	2	no	—
364	C₂²	—	8	2	no	—
365	C₂²	C₁₃×#525	1	1	yes	characteristic
366	C₂²	C₁₃×#553	1	2	yes	—
367	C₄	—	4	2	no	—
368	C₄	—	4	1	no	—
369	C₄	—	4	1	no	—
370	C₄	—	4	1	no	—
371	C₄	—	4	2	no	—
372	C₄	—	8	2	no	—
373	C₄	C₁₃×#525	1	1	yes	characteristic
374	C₄	C₁₃×#535	1	1	yes	characteristic
375	C₄	C₁₃×#551	1	2	yes	—
376	C₂	—	2	1	no	—
377	C₂	—	2	2	no	—
378	C₂	—	8	1	no	—
379	C₂	—	8	2	no	—
380	C₂	C₁₃×#2598	1	1	yes	characteristic

	subgroup	G/H
center	C₄×C₁₃	#535
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
socle	C₂×C₁₃	#2598
prime radical	C₁₃×#2017	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₄×C₁₃ ◁ C₂²×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2956	C₂	semidirect
2. C₁₃×#2923	C₂	semidirect
3. C₁₃×#2103	C₂	semidirect
4. C₁₃×#2098	C₂	semidirect
5. C₁₃×#2053	C₂	semidirect
7. C₁₃×#1938	C₂	semidirect
8. C₁₃×#1906	C₂	semidirect
9. C₁₃×#1881	C₂	semidirect
10. C₁₃×#1868	C₂	semidirect
11. C₁₃×#1841	C₂	semidirect
83. #29387	C₁₃	direct (N × H)
136. #2956	C₂×C₁₃	semidirect
137. #2923	C₂×C₁₃	semidirect
138. #2103	C₂×C₁₃	semidirect
139. #2098	C₂×C₁₃	semidirect
140. #2053	C₂×C₁₃	semidirect
142. #1938	C₂×C₁₃	semidirect
143. #1906	C₂×C₁₃	semidirect
144. #1881	C₂×C₁₃	semidirect
145. #1868	C₂×C₁₃	semidirect
146. #1841	C₂×C₁₃	semidirect
325. C₁₃	#29387	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#2956	2
C₁₃×#2923	2
C₁₃×#2103	2
C₁₃×#2098	2
C₁₃×#2053	2
C₁₃×#2017	2
C₁₃×#1938	2
C₁₃×#1906	2
C₁₃×#1881	2
C₁₃×#1868	2
C₁₃×#1841	2
#29387	13

Subgroups — C13×#29387 #15715726

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#29387 #15715726