Subgroups — C₁₃×#60826 #15747165

Order 3328.

2026 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3500	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3223	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3222	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3216	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3215	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3152	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×#497	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3140	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3135	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3044	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3043	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3011	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3009	C₂	1	2	yes	maximal, complemented
15	C₁₃×#2923	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#137	C₂²	1	2	yes	—
19	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
20	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
21	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
22	C₁₃×#557	—	2	2	no	—
23	C₁₃×#556	—	2	2	no	—
24	C₁₃×#552	—	2	4	no	—
25	C₁₃×#548	—	2	2	no	—
26	C₁₃×#546	—	2	4	no	—
27	C₁₃×#546	—	2	2	no	—
28	C₁₃×#541	C₂²	1	4	yes	complemented
29	C₁₃×#536	C₂²	1	1	yes	characteristic
30	C₁₃×#536	C₂²	1	2	yes	—
31	C₁₃×#536	C₂²	1	2	yes	—
32	C₁₃×#535	C₂²	1	1	yes	characteristic
33	C₁₃×#535	C₂²	1	2	yes	—
34	C₁₃×#533	C₂²	1	4	yes	complemented
35	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#532	C₂²	1	1	yes	characteristic
37	C₁₃×#532	C₂²	1	2	yes	—
38	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#124	C₂²	1	2	yes	—
41	C₁₃×#519	C₂²	1	2	yes	complemented
42	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
43	C₁₃×#497	C₂²	1	4	yes	complemented
44	C₁₃×#497	C₂²	1	4	yes	complemented
45	C₁₃×#497	C₂²	1	2	yes	complemented
46	C₁₃×#497	C₂²	1	2	yes	complemented
47	C₁₃×#494	C₂²	1	2	yes	complemented
48	C₁₃×#492	C₂²	1	2	yes	complemented
49	C₁₃×#491	C₂²	1	2	yes	complemented
50	C₁₃×#490	C₂²	1	2	yes	complemented
51	C₁₃×#489	C₂²	1	2	yes	complemented
52	C₁₃×#489	C₂²	1	2	yes	complemented
53	C₁₃×#489	C₂²	1	4	yes	complemented
54	C₁₃×#488	C₂²	1	4	yes	complemented
55	C₁₃×#464	C₂²	1	8	yes	complemented
56	C₁₃×#464	C₂²	1	8	yes	complemented
57	C₁₃×#462	C₂²	1	8	yes	complemented
58	C₁₃×#460	C₂²	1	8	yes	complemented
59	C₁₃×#452	C₂²	1	8	yes	—
60	C₁₃×#452	C₂²	1	8	yes	complemented
61	C₁₃×#451	C₂²	1	8	yes	complemented
62	C₁₃×#450	C₂²	1	8	yes	—
63	C₁₃×#433	C₂²	1	4	yes	complemented
64	C₁₃×#432	C₂²	1	4	yes	complemented
65	C₁₃×#424	C₂²	1	2	yes	complemented
66	C₁₃×#419	C₂²	1	2	yes	complemented
67	C₁₃×#418	C₂²	1	2	yes	—
68	C₁₃×#416	C₂²	1	2	yes	—
69	C₁₃×#416	C₂²	1	2	yes	complemented
70	C₁₃×#408	C₂²	1	2	yes	—
71	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×2₋¹⁺⁴	—	4	4	no	—
74	C₁₃×H(5,𝔽₂)	—	4	4	no	—
75	C₂×C₁₃×#41	—	2	1	no	—
76	C₂×C₁₃×#41	—	2	2	no	—
77	C₂×C₁₃×#41	—	2	1	no	—
78	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
79	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
80	C₂×C₁₃×#41	C₂³	1	2	yes	—
81	C₂×C₁₃×#41	C₂³	1	2	yes	—
82	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
83	C₂²×Q₈×C₁₃	—	2	1	no	—
84	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
85	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
86	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
87	C₂²×D₄×C₁₃	—	2	2	no	—
88	C₂²×D₄×C₁₃	—	2	1	no	—
89	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
90	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
91	C₁₃×#137	—	4	4	no	—
92	C₁₃×#137	—	4	4	no	—
93	C₂×C₁₃×Q₁₆	—	4	4	no	—
94	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
95	C₂×C₁₃×Q₁₆	C₂³	1	8	yes	—
96	C₂×C₁₃×Q₁₆	C₂³	1	4	yes	—
97	C₂×C₁₃×SD₁₆	—	4	4	no	—
98	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
99	C₂×C₁₃×SD₁₆	C₂³	1	8	yes	—
100	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	—
101	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
102	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
103	C₁₃×C₄⋊Q₈	—	2	2	no	—
104	C₁₃×C₄⋊Q₈	—	2	2	no	—
105	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
106	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
107	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
108	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
109	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
110	C₁₃×#127	C₂³	1	2	yes	—
111	C₁₃×#127	C₂³	1	1	yes	characteristic
112	C₁₃×#126	—	2	8	no	—
113	C₁₃×#125	—	2	8	no	—
114	C₁₃×#125	—	2	4	no	—
115	C₁₃×#125	C₂³	1	2	yes	—
116	C₁₃×#124	—	2	2	no	—
117	C₁₃×#124	—	2	4	no	—
118	C₁₃×#124	—	2	2	no	—
119	C₁₃×#124	C₂³	1	2	yes	—
120	C₁₃×#124	C₂³	1	2	yes	—
121	C₁₃×#124	C₂³	1	2	yes	—
122	C₁₃×#124	C₂³	1	1	yes	characteristic
123	C₁₃×#124	C₂³	1	2	yes	—
124	C₁₃×#124	C₂³	1	1	yes	characteristic
125	C₁₃×#123	—	2	4	no	—
126	C₁₃×#123	—	2	2	no	—
127	C₁₃×#123	—	2	4	no	—
128	C₁₃×C₂²⋊Q₈	—	2	2	no	—
129	C₁₃×C₂²⋊Q₈	—	2	4	no	—
130	C₁₃×C₂²⋊Q₈	—	2	2	no	—
131	C₁₃×C₂²⋊Q₈	—	2	4	no	—
132	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
133	C₁₃×#121	—	2	2	no	—
134	C₁₃×#121	—	2	4	no	—
135	C₁₃×#121	—	2	2	no	—
136	C₁₃×#121	—	2	4	no	—
137	C₁₃×#120	—	2	2	no	—
138	C₁₃×#120	—	2	4	no	—
139	C₄×Q₈×C₁₃	—	2	4	no	—
140	C₄×Q₈×C₁₃	—	2	4	no	—
141	C₄×Q₈×C₁₃	—	2	2	no	—
142	C₄×Q₈×C₁₃	D₄	1	2	yes	—
143	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
144	C₄×D₄×C₁₃	—	2	4	no	—
145	C₄×D₄×C₁₃	—	2	2	no	—
146	C₄×D₄×C₁₃	D₄	1	4	yes	—
147	C₄×D₄×C₁₃	D₄	1	2	yes	—
148	C₁₃×#117	—	2	4	no	—
149	C₁₃×#117	—	2	4	no	—
150	C₁₃×#117	C₂³	1	2	yes	—
151	C₁₃×#117	C₂³	1	1	yes	characteristic
152	C₁₃×#117	C₂³	1	2	yes	—
153	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
154	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
155	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
156	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
157	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
158	C₁₃×C₄⋊C₈	C₂³	1	8	yes	—
159	C₁₃×#103	C₂³	1	4	yes	—
160	C₁₃×#103	C₂³	1	4	yes	—
161	C₁₃×#103	C₂³	1	8	yes	—
162	C₁₃×#102	C₂³	1	4	yes	—
163	C₁₃×#102	C₂³	1	4	yes	—
164	C₁₃×#102	C₂³	1	8	yes	—
165	C₁₃×C₂²⋊C₈	C₂³	1	8	yes	—
166	C₁₃×#97	C₂³	1	2	yes	—
167	C₁₃×#97	C₂³	1	2	yes	—
168	C₁₃×#97	C₂³	1	2	yes	—
169	C₄×C₈×C₁₃	C₂³	1	2	yes	—
170	#60826	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
171	C₂⁴×C₁₃	—	2	2	no	—
172	C₂⁴×C₁₃	—	2	1	no	—
173	C₁₃×#41	—	2	4	no	—
174	C₁₃×#41	—	2	4	no	—
175	C₁₃×#41	—	2	4	no	—
176	C₁₃×#41	—	4	4	no	—
177	C₁₃×#41	—	4	4	no	—
178	C₁₃×#41	—	4	8	no	—
179	C₁₃×#41	—	4	4	no	—
180	C₁₃×#41	—	4	4	no	—
181	C₂×Q₈×C₁₃	—	2	2	no	—
182	C₂×Q₈×C₁₃	—	2	2	no	—
183	C₂×Q₈×C₁₃	—	2	2	no	—
184	C₂×Q₈×C₁₃	—	2	1	no	—
185	C₂×Q₈×C₁₃	—	2	4	no	—
186	C₂×Q₈×C₁₃	—	2	4	no	—
187	C₂×Q₈×C₁₃	—	2	4	no	—
188	C₂×Q₈×C₁₃	—	4	4	no	—
189	C₂×Q₈×C₁₃	—	4	4	no	—
190	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
191	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
192	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
193	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
194	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
195	C₂×D₄×C₁₃	—	2	2	no	—
196	C₂×D₄×C₁₃	—	2	1	no	—
197	C₂×D₄×C₁₃	—	2	2	no	—
198	C₂×D₄×C₁₃	—	2	1	no	—
199	C₂×D₄×C₁₃	—	2	2	no	—
200	C₂×D₄×C₁₃	—	2	1	no	—
201	C₂×D₄×C₁₃	—	2	4	no	—
202	C₂×D₄×C₁₃	—	2	2	no	—
203	C₂×D₄×C₁₃	—	2	4	no	—
204	C₂×D₄×C₁₃	—	4	4	no	—
205	C₂×D₄×C₁₃	—	4	8	no	—
206	C₂×D₄×C₁₃	—	4	4	no	—
207	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
208	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
209	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
210	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
211	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
212	C₂²×C₄×C₁₃	—	2	2	no	—
213	C₂²×C₄×C₁₃	—	2	1	no	—
214	C₂²×C₄×C₁₃	—	2	2	no	—
215	C₂²×C₄×C₁₃	—	2	2	no	—
216	C₂²×C₄×C₁₃	—	2	1	no	—
217	C₂²×C₄×C₁₃	—	2	2	no	—
218	C₂²×C₄×C₁₃	—	2	1	no	—
219	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
220	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
221	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
222	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
223	C₁₃×Q₁₆	—	4	8	no	—
224	C₁₃×Q₁₆	—	4	4	no	—
225	C₁₃×Q₁₆	—	4	4	no	—
226	C₁₃×SD₁₆	—	4	8	no	—
227	C₁₃×SD₁₆	—	4	4	no	—
228	C₁₃×SD₁₆	—	4	4	no	—
229	C₁₃×M₁₆	—	2	4	no	—
230	C₂×C₈×C₁₃	—	2	4	no	—
231	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
232	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
233	C₁₃×C₄⋊C₄	—	2	4	no	—
234	C₁₃×C₄⋊C₄	—	2	4	no	—
235	C₁₃×C₄⋊C₄	—	2	2	no	—
236	C₁₃×C₄⋊C₄	—	2	8	no	—
237	C₁₃×C₄⋊C₄	—	2	4	no	—
238	C₁₃×C₄⋊C₄	—	2	2	no	—
239	C₁₃×C₄⋊C₄	—	2	4	no	—
240	C₁₃×C₄⋊C₄	—	2	8	no	—
241	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
242	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
243	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
244	C₁₃×C₂²⋊C₄	—	2	2	no	—
245	C₁₃×C₂²⋊C₄	—	2	8	no	—
246	C₁₃×C₂²⋊C₄	—	2	4	no	—
247	C₁₃×C₂²⋊C₄	—	2	2	no	—
248	C₁₃×C₂²⋊C₄	—	2	4	no	—
249	C₁₃×C₂²⋊C₄	—	2	4	no	—
250	C₁₃×C₂²⋊C₄	—	2	4	no	—
251	C₁₃×C₂²⋊C₄	—	2	2	no	—
252	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
253	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
254	C₄²×C₁₃	—	2	8	no	—
255	C₄²×C₁₃	—	2	2	no	—
256	C₄²×C₁₃	C₂×D₄	1	4	yes	—
257	C₄²×C₁₃	C₂×D₄	1	2	yes	—
258	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
259	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
260	C₄²×C₁₃	C₂⁴	1	2	yes	—
261	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
262	#3500	C₂×C₁₃	1	1	yes	characteristic
263	#3223	C₂×C₁₃	1	4	yes	complemented
264	#3222	C₂×C₁₃	1	4	yes	complemented
265	#3216	C₂×C₁₃	1	4	yes	complemented
266	#3215	C₂×C₁₃	1	4	yes	complemented
267	#3152	C₂×C₁₃	1	1	yes	characteristic, complemented
268	C₂×#497	C₂×C₁₃	1	1	yes	characteristic, complemented
269	#3140	C₂×C₁₃	1	1	yes	characteristic, complemented
270	#3135	C₂×C₁₃	1	1	yes	characteristic, complemented
271	#3044	C₂×C₁₃	1	2	yes	complemented
272	#3043	C₂×C₁₃	1	2	yes	complemented
273	#3011	C₂×C₁₃	1	2	yes	complemented
274	#3009	C₂×C₁₃	1	2	yes	complemented
275	#2923	C₂×C₁₃	1	1	yes	characteristic, complemented
276	C₂³×C₁₃	—	2	2	no	—
277	C₂³×C₁₃	—	2	1	no	—
278	C₂³×C₁₃	—	2	1	no	—
279	C₂³×C₁₃	—	4	4	no	—
280	C₂³×C₁₃	—	4	2	no	—
281	C₂³×C₁₃	—	8	2	no	—
282	C₂³×C₁₃	—	8	4	no	—
283	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
284	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
285	Q₈×C₁₃	—	2	2	no	—
286	Q₈×C₁₃	—	2	4	no	—
287	Q₈×C₁₃	—	2	4	no	—
288	Q₈×C₁₃	—	2	4	no	—
289	Q₈×C₁₃	—	2	2	no	—
290	Q₈×C₁₃	—	2	2	no	—
291	Q₈×C₁₃	—	4	4	no	—
292	Q₈×C₁₃	—	4	4	no	—
293	Q₈×C₁₃	—	4	4	no	—
294	Q₈×C₁₃	—	4	2	no	—
295	D₄×C₁₃	—	2	4	no	—
296	D₄×C₁₃	—	2	2	no	—
297	D₄×C₁₃	—	2	4	no	—
298	D₄×C₁₃	—	2	2	no	—
299	D₄×C₁₃	—	2	2	no	—
300	D₄×C₁₃	—	4	4	no	—
301	D₄×C₁₃	—	4	4	no	—
302	D₄×C₁₃	—	4	4	no	—
303	D₄×C₁₃	—	4	2	no	—
304	D₄×C₁₃	—	4	2	no	—
305	D₄×C₁₃	—	4	2	no	—
306	D₄×C₁₃	—	8	4	no	—
307	D₄×C₁₃	—	8	2	no	—
308	C₂×C₄×C₁₃	—	2	4	no	—
309	C₂×C₄×C₁₃	—	2	4	no	—
310	C₂×C₄×C₁₃	—	2	4	no	—
311	C₂×C₄×C₁₃	—	2	2	no	—
312	C₂×C₄×C₁₃	—	2	1	no	—
313	C₂×C₄×C₁₃	—	2	1	no	—
314	C₂×C₄×C₁₃	—	4	2	no	—
315	C₂×C₄×C₁₃	—	4	4	no	—
316	C₂×C₄×C₁₃	—	4	4	no	—
317	C₂×C₄×C₁₃	—	4	4	no	—
318	C₂×C₄×C₁₃	—	4	4	no	—
319	C₂×C₄×C₁₃	—	4	4	no	—
320	C₂×C₄×C₁₃	—	4	2	no	—
321	C₂×C₄×C₁₃	—	4	2	no	—
322	C₂×C₄×C₁₃	—	4	2	no	—
323	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
324	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
325	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
326	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
327	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
328	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
329	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
330	C₈×C₁₃	—	2	4	no	—
331	C₈×C₁₃	—	2	4	no	—
332	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
333	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
334	C₂×#137	C₂²×C₁₃	1	2	yes	—
335	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
336	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
337	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
338	#557	—	2	2	no	—
339	#556	—	2	2	no	—
340	#552	—	2	4	no	—
341	#548	—	2	2	no	—
342	#546	—	2	4	no	—
343	#546	—	2	2	no	—
344	#541	C₂²×C₁₃	1	4	yes	complemented
345	#536	C₂²×C₁₃	1	2	yes	—
346	#536	C₂²×C₁₃	1	1	yes	characteristic
347	#536	C₂²×C₁₃	1	2	yes	—
348	#535	C₂²×C₁₃	1	2	yes	—
349	#535	C₂²×C₁₃	1	1	yes	characteristic
350	#533	C₂²×C₁₃	1	4	yes	complemented
351	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
352	#532	C₂²×C₁₃	1	1	yes	characteristic
353	#532	C₂²×C₁₃	1	2	yes	—
354	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
355	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
356	C₂×#124	C₂²×C₁₃	1	2	yes	—
357	#519	C₂²×C₁₃	1	2	yes	complemented
358	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
359	#497	C₂²×C₁₃	1	4	yes	complemented
360	#497	C₂²×C₁₃	1	4	yes	complemented
361	#497	C₂²×C₁₃	1	2	yes	complemented
362	#497	C₂²×C₁₃	1	2	yes	complemented
363	#494	C₂²×C₁₃	1	2	yes	complemented
364	#492	C₂²×C₁₃	1	2	yes	complemented
365	#491	C₂²×C₁₃	1	2	yes	complemented
366	#490	C₂²×C₁₃	1	2	yes	complemented
367	#489	C₂²×C₁₃	1	2	yes	complemented
368	#489	C₂²×C₁₃	1	2	yes	complemented
369	#489	C₂²×C₁₃	1	4	yes	complemented
370	#488	C₂²×C₁₃	1	4	yes	complemented
371	#464	C₂²×C₁₃	1	8	yes	complemented
372	#464	C₂²×C₁₃	1	8	yes	complemented
373	#462	C₂²×C₁₃	1	8	yes	complemented
374	#460	C₂²×C₁₃	1	8	yes	complemented
375	#452	C₂²×C₁₃	1	8	yes	—
376	#452	C₂²×C₁₃	1	8	yes	complemented
377	#451	C₂²×C₁₃	1	8	yes	complemented
378	#450	C₂²×C₁₃	1	8	yes	—
379	#433	C₂²×C₁₃	1	4	yes	complemented
380	#432	C₂²×C₁₃	1	4	yes	complemented
381	#424	C₂²×C₁₃	1	2	yes	complemented
382	#419	C₂²×C₁₃	1	2	yes	complemented
383	#418	C₂²×C₁₃	1	2	yes	—
384	#416	C₂²×C₁₃	1	2	yes	—
385	#416	C₂²×C₁₃	1	2	yes	complemented
386	#408	C₂²×C₁₃	1	2	yes	—
387	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
388	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
389	C₂²×C₁₃	—	2	2	no	—
390	C₂²×C₁₃	—	2	4	no	—
391	C₂²×C₁₃	—	2	2	no	—
392	C₂²×C₁₃	—	4	2	no	—
393	C₂²×C₁₃	—	4	4	no	—
394	C₂²×C₁₃	—	4	2	no	—
395	C₂²×C₁₃	—	4	1	no	—
396	C₂²×C₁₃	—	4	2	no	—
397	C₂²×C₁₃	—	4	1	no	—
398	C₂²×C₁₃	—	16	2	no	—
399	C₂²×C₁₃	—	16	4	no	—
400	C₂²×C₁₃	#535	1	2	yes	—
401	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
402	C₄×C₁₃	—	2	2	no	—
403	C₄×C₁₃	—	2	4	no	—
404	C₄×C₁₃	—	2	2	no	—
405	C₄×C₁₃	—	2	2	no	—
406	C₄×C₁₃	—	4	4	no	—
407	C₄×C₁₃	—	4	1	no	—
408	C₄×C₁₃	—	4	2	no	—
409	C₄×C₁₃	—	4	1	no	—
410	C₄×C₁₃	—	4	4	no	—
411	C₄×C₁₃	#535	1	2	yes	—
412	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
413	2₋¹⁺⁴	—	4	4	no	—
414	H(5,𝔽₂)	—	4	4	no	—
415	C₂×#41	—	2	1	no	—
416	C₂×#41	—	2	2	no	—
417	C₂×#41	—	2	1	no	—
418	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
419	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
420	C₂×#41	C₂³×C₁₃	1	2	yes	—
421	C₂×#41	C₂³×C₁₃	1	2	yes	—
422	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
423	C₂²×Q₈	—	2	1	no	—
424	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
425	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
426	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
427	C₂²×D₄	—	2	2	no	—
428	C₂²×D₄	—	2	1	no	—
429	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
430	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
431	#137	—	4	4	no	—
432	#137	—	4	4	no	—
433	C₂×Q₁₆	—	4	4	no	—
434	C₂×Q₁₆	C₂³×C₁₃	1	8	yes	—
435	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
436	C₂×Q₁₆	C₂³×C₁₃	1	4	yes	—
437	C₂×SD₁₆	—	4	4	no	—
438	C₂×SD₁₆	C₂³×C₁₃	1	8	yes	—
439	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
440	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	—
441	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
442	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
443	C₄⋊Q₈	—	2	2	no	—
444	C₄⋊Q₈	—	2	2	no	—
445	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
446	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
447	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
448	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
449	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
450	#127	C₂³×C₁₃	1	2	yes	—
451	#127	C₂³×C₁₃	1	1	yes	characteristic
452	#126	—	2	8	no	—
453	#125	—	2	8	no	—
454	#125	—	2	4	no	—
455	#125	C₂³×C₁₃	1	2	yes	—
456	#124	—	2	2	no	—
457	#124	—	2	4	no	—
458	#124	—	2	2	no	—
459	#124	C₂³×C₁₃	1	2	yes	—
460	#124	C₂³×C₁₃	1	1	yes	characteristic
461	#124	C₂³×C₁₃	1	2	yes	—
462	#124	C₂³×C₁₃	1	2	yes	—
463	#124	C₂³×C₁₃	1	2	yes	—
464	#124	C₂³×C₁₃	1	1	yes	characteristic
465	#123	—	2	4	no	—
466	#123	—	2	2	no	—
467	#123	—	2	4	no	—
468	C₂²⋊Q₈	—	2	2	no	—
469	C₂²⋊Q₈	—	2	4	no	—
470	C₂²⋊Q₈	—	2	2	no	—
471	C₂²⋊Q₈	—	2	4	no	—
472	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
473	#121	—	2	2	no	—
474	#121	—	2	4	no	—
475	#121	—	2	2	no	—
476	#121	—	2	4	no	—
477	#120	—	2	2	no	—
478	#120	—	2	4	no	—
479	C₄×Q₈	—	2	4	no	—
480	C₄×Q₈	—	2	4	no	—
481	C₄×Q₈	—	2	2	no	—
482	C₄×Q₈	D₄×C₁₃	1	2	yes	—
483	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
484	C₄×D₄	—	2	4	no	—
485	C₄×D₄	—	2	2	no	—
486	C₄×D₄	D₄×C₁₃	1	4	yes	—
487	C₄×D₄	D₄×C₁₃	1	2	yes	—
488	#117	—	2	4	no	—
489	#117	—	2	4	no	—
490	#117	C₂³×C₁₃	1	2	yes	—
491	#117	C₂³×C₁₃	1	1	yes	characteristic
492	#117	C₂³×C₁₃	1	2	yes	—
493	C₂×C₄⋊C₄	—	2	2	no	—
494	C₂×C₂²⋊C₄	—	2	2	no	—
495	C₂×C₂²⋊C₄	—	2	4	no	—
496	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
497	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
498	C₄⋊C₈	C₂³×C₁₃	1	8	yes	—
499	#103	C₂³×C₁₃	1	4	yes	—
500	#103	C₂³×C₁₃	1	4	yes	—
501	#103	C₂³×C₁₃	1	8	yes	—
502	#102	C₂³×C₁₃	1	4	yes	—
503	#102	C₂³×C₁₃	1	4	yes	—
504	#102	C₂³×C₁₃	1	8	yes	—
505	C₂²⋊C₈	C₂³×C₁₃	1	8	yes	—
506	#97	C₂³×C₁₃	1	2	yes	—
507	#97	C₂³×C₁₃	1	2	yes	—
508	#97	C₂³×C₁₃	1	2	yes	—
509	C₄×C₈	C₂³×C₁₃	1	2	yes	—
510	C₂×C₁₃	—	2	2	no	—
511	C₂×C₁₃	—	4	2	no	—
512	C₂×C₁₃	—	8	1	no	—
513	C₂×C₁₃	—	8	2	no	—
514	C₂×C₁₃	—	8	1	no	—
515	C₂×C₁₃	C₂×#535	1	1	yes	characteristic
516	C₂×C₁₃	#3586	1	2	yes	—
517	C₂⁴	—	2	2	no	—
518	C₂⁴	—	2	1	no	—
519	#41	—	2	4	no	—
520	#41	—	2	4	no	—
521	#41	—	2	4	no	—
522	#41	—	4	4	no	—
523	#41	—	4	4	no	—
524	#41	—	4	8	no	—
525	#41	—	4	4	no	—
526	#41	—	4	4	no	—
527	C₂×Q₈	—	2	2	no	—
528	C₂×Q₈	—	2	2	no	—
529	C₂×Q₈	—	2	2	no	—
530	C₂×Q₈	—	2	1	no	—
531	C₂×Q₈	—	2	4	no	—
532	C₂×Q₈	—	2	4	no	—
533	C₂×Q₈	—	2	4	no	—
534	C₂×Q₈	—	4	4	no	—
535	C₂×Q₈	—	4	4	no	—
536	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
537	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
538	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
539	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
540	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
541	C₂×D₄	—	2	2	no	—
542	C₂×D₄	—	2	1	no	—
543	C₂×D₄	—	2	2	no	—
544	C₂×D₄	—	2	1	no	—
545	C₂×D₄	—	2	2	no	—
546	C₂×D₄	—	2	1	no	—
547	C₂×D₄	—	2	4	no	—
548	C₂×D₄	—	2	2	no	—
549	C₂×D₄	—	2	4	no	—
550	C₂×D₄	—	4	4	no	—
551	C₂×D₄	—	4	8	no	—
552	C₂×D₄	—	4	4	no	—
553	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
554	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
555	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
556	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
557	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
558	C₂²×C₄	—	2	2	no	—
559	C₂²×C₄	—	2	1	no	—
560	C₂²×C₄	—	2	2	no	—
561	C₂²×C₄	—	2	2	no	—
562	C₂²×C₄	—	2	1	no	—
563	C₂²×C₄	—	2	2	no	—
564	C₂²×C₄	—	2	1	no	—
565	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
566	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
567	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
568	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
569	Q₁₆	—	4	8	no	—
570	Q₁₆	—	4	4	no	—
571	Q₁₆	—	4	4	no	—
572	SD₁₆	—	4	8	no	—
573	SD₁₆	—	4	4	no	—
574	SD₁₆	—	4	4	no	—
575	M₁₆	—	2	4	no	—
576	C₂×C₈	—	2	4	no	—
577	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
578	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
579	C₄⋊C₄	—	2	4	no	—
580	C₄⋊C₄	—	2	4	no	—
581	C₄⋊C₄	—	2	2	no	—
582	C₄⋊C₄	—	2	8	no	—
583	C₄⋊C₄	—	2	4	no	—
584	C₄⋊C₄	—	2	2	no	—
585	C₄⋊C₄	—	2	4	no	—
586	C₄⋊C₄	—	2	8	no	—
587	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
588	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
589	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
590	C₂²⋊C₄	—	2	2	no	—
591	C₂²⋊C₄	—	2	8	no	—
592	C₂²⋊C₄	—	2	4	no	—
593	C₂²⋊C₄	—	2	2	no	—
594	C₂²⋊C₄	—	2	4	no	—
595	C₂²⋊C₄	—	2	4	no	—
596	C₂²⋊C₄	—	2	4	no	—
597	C₂²⋊C₄	—	2	2	no	—
598	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
599	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
600	C₄²	—	2	8	no	—
601	C₄²	—	2	2	no	—
602	C₄²	C₂×D₄×C₁₃	1	4	yes	—
603	C₄²	C₂×D₄×C₁₃	1	2	yes	—
604	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
605	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
606	C₄²	C₂⁴×C₁₃	1	2	yes	—
607	C₁₃	#60826	1	1	yes	characteristic, direct product factor, Sylow
608	C₂³	—	2	2	no	—
609	C₂³	—	2	1	no	—
610	C₂³	—	2	1	no	—
611	C₂³	—	4	4	no	—
612	C₂³	—	4	2	no	—
613	C₂³	—	8	2	no	—
614	C₂³	—	8	4	no	—
615	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
616	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
617	Q₈	—	2	2	no	—
618	Q₈	—	2	4	no	—
619	Q₈	—	2	4	no	—
620	Q₈	—	2	4	no	—
621	Q₈	—	2	2	no	—
622	Q₈	—	2	2	no	—
623	Q₈	—	4	4	no	—
624	Q₈	—	4	4	no	—
625	Q₈	—	4	2	no	—
626	Q₈	—	4	4	no	—
627	D₄	—	2	4	no	—
628	D₄	—	2	2	no	—
629	D₄	—	2	4	no	—
630	D₄	—	2	2	no	—
631	D₄	—	2	2	no	—
632	D₄	—	4	4	no	—
633	D₄	—	4	4	no	—
634	D₄	—	4	4	no	—
635	D₄	—	4	2	no	—
636	D₄	—	4	2	no	—
637	D₄	—	4	2	no	—
638	D₄	—	8	4	no	—
639	D₄	—	8	2	no	—
640	C₂×C₄	—	2	4	no	—
641	C₂×C₄	—	2	4	no	—
642	C₂×C₄	—	2	4	no	—
643	C₂×C₄	—	2	2	no	—
644	C₂×C₄	—	2	1	no	—
645	C₂×C₄	—	2	1	no	—
646	C₂×C₄	—	4	2	no	—
647	C₂×C₄	—	4	4	no	—
648	C₂×C₄	—	4	4	no	—
649	C₂×C₄	—	4	4	no	—
650	C₂×C₄	—	4	4	no	—
651	C₂×C₄	—	4	4	no	—
652	C₂×C₄	—	4	2	no	—
653	C₂×C₄	—	4	2	no	—
654	C₂×C₄	—	4	2	no	—
655	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
656	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
657	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
658	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
659	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
660	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
661	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
662	C₈	—	2	4	no	—
663	C₈	—	2	4	no	—
664	C₂²	—	2	2	no	—
665	C₂²	—	2	4	no	—
666	C₂²	—	2	2	no	—
667	C₂²	—	4	2	no	—
668	C₂²	—	4	4	no	—
669	C₂²	—	4	2	no	—
670	C₂²	—	4	1	no	—
671	C₂²	—	4	2	no	—
672	C₂²	—	4	1	no	—
673	C₂²	—	16	2	no	—
674	C₂²	—	16	4	no	—
675	C₂²	C₁₃×#535	1	2	yes	—
676	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
677	C₄	—	2	2	no	—
678	C₄	—	2	4	no	—
679	C₄	—	2	2	no	—
680	C₄	—	2	2	no	—
681	C₄	—	4	4	no	—
682	C₄	—	4	1	no	—
683	C₄	—	4	2	no	—
684	C₄	—	4	1	no	—
685	C₄	—	4	4	no	—
686	C₄	C₁₃×#535	1	2	yes	—
687	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
688	C₂	—	2	2	no	—
689	C₂	—	4	2	no	—
690	C₂	—	8	2	no	—
691	C₂	—	8	1	no	—
692	C₂	—	8	1	no	—
693	C₂	C₂×C₁₃×#535	1	1	yes	characteristic
694	C₂	C₁₃×#3586	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3500	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3509	C₂	semidirect
3. C₁₃×#3223	C₂	semidirect
4. C₁₃×#3222	C₂	semidirect
5. C₁₃×#3216	C₂	semidirect
6. C₁₃×#3215	C₂	semidirect
7. C₁₃×#3152	C₂	semidirect
8. C₂×C₁₃×#497	C₂	semidirect
9. C₁₃×#3140	C₂	semidirect
10. C₁₃×#3135	C₂	semidirect
11. C₁₃×#3044	C₂	semidirect
12. C₁₃×#3043	C₂	semidirect
13. C₁₃×#3011	C₂	semidirect
14. C₁₃×#3009	C₂	semidirect
15. C₁₃×#2923	C₂	semidirect
19. C₂×C₁₃×#137	C₂²	semidirect
20. C₂²×C₁₃×Q₁₆	C₂²	semidirect
28. C₁₃×#541	C₂²	semidirect
34. C₁₃×#533	C₂²	semidirect
35. C₁₃×#533	C₂²	semidirect
38. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
41. C₁₃×#519	C₂²	semidirect
43. C₁₃×#497	C₂²	semidirect
44. C₁₃×#497	C₂²	semidirect
45. C₁₃×#497	C₂²	semidirect
46. C₁₃×#497	C₂²	semidirect
47. C₁₃×#494	C₂²	semidirect
48. C₁₃×#492	C₂²	semidirect
49. C₁₃×#491	C₂²	semidirect
50. C₁₃×#490	C₂²	semidirect
51. C₁₃×#489	C₂²	semidirect
52. C₁₃×#489	C₂²	semidirect
53. C₁₃×#489	C₂²	semidirect
54. C₁₃×#488	C₂²	semidirect
55. C₁₃×#464	C₂²	semidirect
56. C₁₃×#464	C₂²	semidirect
57. C₁₃×#462	C₂²	semidirect
58. C₁₃×#460	C₂²	semidirect
60. C₁₃×#452	C₂²	semidirect
61. C₁₃×#451	C₂²	semidirect
63. C₁₃×#433	C₂²	semidirect
64. C₁₃×#432	C₂²	semidirect
65. C₁₃×#424	C₂²	semidirect
66. C₁₃×#419	C₂²	semidirect
69. C₁₃×#416	C₂²	semidirect
71. C₄×C₁₃×M₁₆	C₂²	semidirect
72. C₂×C₁₃×#97	C₂²	semidirect
170. #60826	C₁₃	direct (N × H)
261. #3509	C₂×C₁₃	semidirect
263. #3223	C₂×C₁₃	semidirect
264. #3222	C₂×C₁₃	semidirect
265. #3216	C₂×C₁₃	semidirect
266. #3215	C₂×C₁₃	semidirect
267. #3152	C₂×C₁₃	semidirect
268. C₂×#497	C₂×C₁₃	semidirect
269. #3140	C₂×C₁₃	semidirect
270. #3135	C₂×C₁₃	semidirect
271. #3044	C₂×C₁₃	semidirect
272. #3043	C₂×C₁₃	semidirect
273. #3011	C₂×C₁₃	semidirect
274. #3009	C₂×C₁₃	semidirect
275. #2923	C₂×C₁₃	semidirect
335. C₂×#137	C₂²×C₁₃	semidirect
336. C₂²×Q₁₆	C₂²×C₁₃	semidirect
344. #541	C₂²×C₁₃	semidirect
350. #533	C₂²×C₁₃	semidirect
351. #533	C₂²×C₁₃	semidirect
354. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
357. #519	C₂²×C₁₃	semidirect
359. #497	C₂²×C₁₃	semidirect
360. #497	C₂²×C₁₃	semidirect
361. #497	C₂²×C₁₃	semidirect
362. #497	C₂²×C₁₃	semidirect
363. #494	C₂²×C₁₃	semidirect
364. #492	C₂²×C₁₃	semidirect
365. #491	C₂²×C₁₃	semidirect
366. #490	C₂²×C₁₃	semidirect
367. #489	C₂²×C₁₃	semidirect
368. #489	C₂²×C₁₃	semidirect
369. #489	C₂²×C₁₃	semidirect
370. #488	C₂²×C₁₃	semidirect
371. #464	C₂²×C₁₃	semidirect
372. #464	C₂²×C₁₃	semidirect
373. #462	C₂²×C₁₃	semidirect
374. #460	C₂²×C₁₃	semidirect
376. #452	C₂²×C₁₃	semidirect
377. #451	C₂²×C₁₃	semidirect
379. #433	C₂²×C₁₃	semidirect
380. #432	C₂²×C₁₃	semidirect
381. #424	C₂²×C₁₃	semidirect
382. #419	C₂²×C₁₃	semidirect
385. #416	C₂²×C₁₃	semidirect
387. C₄×M₁₆	C₂²×C₁₃	semidirect
388. C₂×#97	C₂²×C₁₃	semidirect
607. C₁₃	#60826	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×#3509	2
C₁₃×#3500	2
C₁₃×#3223	2
C₁₃×#3222	2
C₁₃×#3216	2
C₁₃×#3215	2
C₁₃×#3152	2
C₂×C₁₃×#497	2
C₁₃×#3140	2
C₁₃×#3135	2
C₁₃×#3044	2
C₁₃×#3043	2
C₁₃×#3011	2
C₁₃×#3009	2
C₁₃×#2923	2
#60826	13

Subgroups — C13×#60826 #15747165

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60826 #15747165