Subgroups — C₁₃×#24932 #15711271

Order 3328.

904 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3099	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3012	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2952	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2897	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2094	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2079	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2051	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2039	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1931	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#1929	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1883	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1876	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1859	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1815	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1792	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
20	C₁₃×#537	C₂²	1	1	yes	characteristic
21	C₁₃×#520	C₂²	1	1	yes	characteristic
22	C₁₃×#520	C₂²	1	1	yes	characteristic, complemented
23	C₁₃×#485	—	2	1	no	—
24	C₁₃×#483	—	2	1	no	—
25	C₁₃×#482	—	2	1	no	—
26	C₁₃×#481	—	2	1	no	—
27	C₁₃×#452	—	2	1	no	—
28	C₁₃×#450	—	2	1	no	—
29	C₁₃×#449	—	2	1	no	—
30	C₁₃×#447	—	2	1	no	—
31	C₁₃×#442	—	2	1	no	—
32	C₁₃×#441	—	2	1	no	—
33	C₄×C₁₃×SD₁₆	—	2	1	no	—
34	C₄×C₁₃×SD₁₆	—	2	1	no	—
35	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#104	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#104	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#104	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#418	—	2	1	no	—
43	C₁₃×#418	C₂²	1	1	yes	characteristic
44	C₁₃×#417	—	2	1	no	—
45	C₁₃×#417	C₂²	1	1	yes	characteristic
46	C₁₃×#417	C₂²	1	1	yes	characteristic
47	C₁₃×#417	C₂²	1	1	yes	characteristic
48	C₁₃×#417	C₂²	1	1	yes	characteristic
49	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#416	—	2	1	no	—
51	C₁₃×#416	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×#102	—	2	1	no	—
53	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×#100	C₂²	1	1	yes	characteristic
56	C₁₃×#408	C₂²	1	1	yes	characteristic
57	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#390	C₂²	1	1	yes	characteristic
60	C₁₃×#384	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#343	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#343	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#343	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#341	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#339	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#336	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×H(5,𝔽₂)	—	2	2	no	—
68	C₁₃×H(5,𝔽₂)	—	2	2	no	—
69	C₁₃×H(5,𝔽₂)	—	2	2	no	—
70	C₁₃×H(5,𝔽₂)	—	4	1	no	—
71	C₂×C₁₃×#41	—	2	1	no	—
72	C₂×C₁₃×#41	—	2	1	no	—
73	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
74	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
75	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
76	C₂²×D₄×C₁₃	—	2	1	no	—
77	C₂²×D₄×C₁₃	—	2	1	no	—
78	C₂²×D₄×C₁₃	—	4	1	no	—
79	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
80	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
81	C₁₃×AGL(1,ℤ/8)	—	4	1	no	—
82	C₁₃×#135	—	2	2	no	—
83	C₁₃×#135	—	2	2	no	—
84	C₂×C₁₃×Q₁₆	D₄	1	1	yes	characteristic
85	C₂×C₁₃×SD₁₆	—	2	1	no	—
86	C₂×C₁₃×SD₁₆	D₄	1	1	yes	characteristic
87	C₂×C₁₃×SD₁₆	D₄	1	1	yes	characteristic
88	C₂×C₁₃×D₈	—	2	1	no	—
89	C₂×C₁₃×D₈	D₄	1	1	yes	characteristic
90	C₁₃×#131	—	2	2	no	—
91	C₁₃×#131	—	4	1	no	—
92	C₂×C₁₃×M₁₆	—	2	1	no	—
93	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
94	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
95	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
96	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
97	C₂²×C₈×C₁₃	—	2	1	no	—
98	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
99	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
100	C₁₃×C₂²⋊Q₈	—	2	1	no	—
101	C₁₃×C₂²⋊Q₈	—	2	1	no	—
102	C₁₃×#121	—	2	1	no	—
103	C₁₃×#121	—	2	1	no	—
104	C₁₃×#121	—	4	1	no	—
105	C₄×Q₈×C₁₃	—	2	1	no	—
106	C₄×Q₈×C₁₃	—	2	1	no	—
107	C₄×D₄×C₁₃	—	2	1	no	—
108	C₄×D₄×C₁₃	—	2	1	no	—
109	C₄×D₄×C₁₃	—	4	1	no	—
110	C₄×D₄×C₁₃	—	4	1	no	—
111	C₁₃×#117	—	2	1	no	—
112	C₁₃×#117	—	2	1	no	—
113	C₁₃×#117	C₂³	1	1	yes	characteristic
114	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
115	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
116	C₂×C₁₃×C₄⋊C₄	—	4	1	no	—
117	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
118	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
119	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
120	C₂×C₁₃×C₂²⋊C₄	—	4	1	no	—
121	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
122	C₁₃×#108	—	4	1	no	—
123	C₁₃×#107	—	2	1	no	—
124	C₁₃×#106	—	2	1	no	—
125	C₁₃×#106	—	2	1	no	—
126	C₁₃×#106	—	2	1	no	—
127	C₁₃×#106	—	2	1	no	—
128	C₁₃×#106	—	2	1	no	—
129	C₁₃×#104	—	2	2	no	—
130	C₁₃×#104	—	4	1	no	—
131	C₁₃×#104	—	4	1	no	—
132	C₁₃×#103	—	2	1	no	—
133	C₁₃×#103	—	2	1	no	—
134	C₁₃×#103	—	2	1	no	—
135	C₁₃×#103	—	2	1	no	—
136	C₁₃×#103	—	2	1	no	—
137	C₁₃×#103	D₄	1	1	yes	characteristic
138	C₁₃×#103	D₄	1	1	yes	characteristic
139	C₁₃×#102	—	2	1	no	—
140	C₁₃×#102	—	2	1	no	—
141	C₁₃×#102	—	2	1	no	—
142	C₁₃×#102	—	2	1	no	—
143	C₁₃×#102	—	2	1	no	—
144	C₁₃×#102	—	2	1	no	—
145	C₁₃×#102	—	2	1	no	—
146	C₁₃×#102	—	2	1	no	—
147	C₁₃×#102	—	2	1	no	—
148	C₁₃×#102	—	2	1	no	—
149	C₁₃×#102	—	2	1	no	—
150	C₁₃×#102	D₄	1	1	yes	characteristic
151	C₁₃×#102	D₄	1	1	yes	characteristic
152	C₁₃×#100	—	2	2	no	—
153	C₁₃×C₂²⋊C₈	—	2	1	no	—
154	C₁₃×C₂²⋊C₈	—	2	1	no	—
155	C₁₃×C₂²⋊C₈	—	2	1	no	—
156	C₁₃×C₂²⋊C₈	—	2	1	no	—
157	C₁₃×#97	—	2	1	no	—
158	C₄×C₈×C₁₃	—	2	1	no	—
159	#24932	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
160	C₂⁴×C₁₃	—	2	1	no	—
161	C₂⁴×C₁₃	—	4	1	no	—
162	C₁₃×#41	—	2	1	no	—
163	C₁₃×#41	—	2	1	no	—
164	C₁₃×#41	—	2	4	no	—
165	C₁₃×#41	—	2	1	no	—
166	C₁₃×#41	—	2	1	no	—
167	C₁₃×#41	—	2	1	no	—
168	C₁₃×#41	—	2	1	no	—
169	C₁₃×#41	—	2	1	no	—
170	C₁₃×#41	—	2	1	no	—
171	C₁₃×#41	—	2	1	no	—
172	C₁₃×#41	—	2	1	no	—
173	C₁₃×#41	—	4	2	no	—
174	C₁₃×#41	—	4	2	no	—
175	C₁₃×#41	—	4	2	no	—
176	C₁₃×#41	#41	1	2	yes	—
177	C₁₃×#41	#41	1	2	yes	—
178	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
179	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
180	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
181	C₂×D₄×C₁₃	—	2	1	no	—
182	C₂×D₄×C₁₃	—	2	4	no	—
183	C₂×D₄×C₁₃	—	2	1	no	—
184	C₂×D₄×C₁₃	—	2	1	no	—
185	C₂×D₄×C₁₃	—	2	1	no	—
186	C₂×D₄×C₁₃	—	2	1	no	—
187	C₂×D₄×C₁₃	—	2	1	no	—
188	C₂×D₄×C₁₃	—	2	1	no	—
189	C₂×D₄×C₁₃	—	2	1	no	—
190	C₂×D₄×C₁₃	—	4	2	no	—
191	C₂×D₄×C₁₃	—	4	1	no	—
192	C₂×D₄×C₁₃	—	4	1	no	—
193	C₂×D₄×C₁₃	—	4	2	no	—
194	C₂×D₄×C₁₃	—	4	4	no	—
195	C₂×D₄×C₁₃	—	4	4	no	—
196	C₂×D₄×C₁₃	—	4	2	no	—
197	C₂×D₄×C₁₃	—	4	1	no	—
198	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
199	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
200	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
201	C₂×D₄×C₁₃	#41	1	2	yes	—
202	C₂²×C₄×C₁₃	—	2	1	no	—
203	C₂²×C₄×C₁₃	—	2	1	no	—
204	C₂²×C₄×C₁₃	—	2	1	no	—
205	C₂²×C₄×C₁₃	—	2	1	no	—
206	C₂²×C₄×C₁₃	—	2	1	no	—
207	C₂²×C₄×C₁₃	—	2	1	no	—
208	C₂²×C₄×C₁₃	—	2	1	no	—
209	C₂²×C₄×C₁₃	—	4	1	no	—
210	C₂²×C₄×C₁₃	—	4	1	no	—
211	C₂²×C₄×C₁₃	—	4	1	no	—
212	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
213	C₁₃×Q₁₆	—	2	2	no	—
214	C₁₃×SD₁₆	—	2	2	no	—
215	C₁₃×SD₁₆	—	2	2	no	—
216	C₁₃×SD₁₆	—	4	2	no	—
217	C₁₃×D₈	—	2	2	no	—
218	C₁₃×D₈	—	4	2	no	—
219	C₁₃×M₁₆	—	2	1	no	—
220	C₁₃×M₁₆	—	2	1	no	—
221	C₁₃×M₁₆	—	2	1	no	—
222	C₁₃×M₁₆	—	2	1	no	—
223	C₁₃×M₁₆	—	2	1	no	—
224	C₁₃×M₁₆	—	2	1	no	—
225	C₁₃×M₁₆	—	2	1	no	—
226	C₁₃×M₁₆	—	2	1	no	—
227	C₁₃×M₁₆	—	4	2	no	—
228	C₂×C₈×C₁₃	—	2	1	no	—
229	C₂×C₈×C₁₃	—	2	1	no	—
230	C₂×C₈×C₁₃	—	2	1	no	—
231	C₂×C₈×C₁₃	—	2	1	no	—
232	C₂×C₈×C₁₃	—	2	1	no	—
233	C₂×C₈×C₁₃	—	2	1	no	—
234	C₂×C₈×C₁₃	—	2	1	no	—
235	C₂×C₈×C₁₃	—	2	1	no	—
236	C₂×C₈×C₁₃	—	4	2	no	—
237	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
238	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
239	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
240	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
241	C₁₃×C₄⋊C₄	—	2	1	no	—
242	C₁₃×C₄⋊C₄	—	2	1	no	—
243	C₁₃×C₄⋊C₄	—	2	1	no	—
244	C₁₃×C₄⋊C₄	—	2	1	no	—
245	C₁₃×C₄⋊C₄	—	2	1	no	—
246	C₁₃×C₄⋊C₄	—	2	1	no	—
247	C₁₃×C₄⋊C₄	—	4	1	no	—
248	C₁₃×C₄⋊C₄	—	4	1	no	—
249	C₁₃×C₄⋊C₄	—	4	1	no	—
250	C₁₃×C₄⋊C₄	—	8	2	no	—
251	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
252	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
253	C₁₃×C₂²⋊C₄	—	2	1	no	—
254	C₁₃×C₂²⋊C₄	—	4	1	no	—
255	C₁₃×C₂²⋊C₄	—	4	1	no	—
256	C₁₃×C₂²⋊C₄	—	4	1	no	—
257	C₁₃×C₂²⋊C₄	—	4	1	no	—
258	C₁₃×C₂²⋊C₄	—	8	2	no	—
259	C₄²×C₁₃	—	2	1	no	—
260	C₄²×C₁₃	—	2	1	no	—
261	C₄²×C₁₃	—	2	1	no	—
262	C₄²×C₁₃	—	4	1	no	—
263	C₄²×C₁₃	—	4	1	no	—
264	#3099	C₂×C₁₃	1	1	yes	characteristic, complemented
265	#3012	C₂×C₁₃	1	1	yes	characteristic
266	#2952	C₂×C₁₃	1	1	yes	characteristic, complemented
267	#2897	C₂×C₁₃	1	1	yes	characteristic, complemented
268	#2094	C₂×C₁₃	1	1	yes	characteristic, complemented
269	#2079	C₂×C₁₃	1	1	yes	characteristic, complemented
270	#2051	C₂×C₁₃	1	1	yes	characteristic, complemented
271	#2039	C₂×C₁₃	1	1	yes	characteristic, complemented
272	#1931	C₂×C₁₃	1	1	yes	characteristic, complemented
273	#1929	C₂×C₁₃	1	1	yes	characteristic, complemented
274	#1883	C₂×C₁₃	1	1	yes	characteristic, complemented
275	#1876	C₂×C₁₃	1	1	yes	characteristic, complemented
276	#1859	C₂×C₁₃	1	1	yes	characteristic, complemented
277	#1815	C₂×C₁₃	1	1	yes	characteristic, complemented
278	#1792	C₂×C₁₃	1	1	yes	characteristic, complemented
279	C₂³×C₁₃	—	2	1	no	—
280	C₂³×C₁₃	—	2	1	no	—
281	C₂³×C₁₃	—	2	1	no	—
282	C₂³×C₁₃	—	2	2	no	—
283	C₂³×C₁₃	—	4	4	no	—
284	C₂³×C₁₃	—	4	1	no	—
285	C₂³×C₁₃	—	4	1	no	—
286	C₂³×C₁₃	—	8	1	no	—
287	C₂³×C₁₃	—	8	1	no	—
288	C₂³×C₁₃	—	16	1	no	—
289	C₂³×C₁₃	—	16	1	no	—
290	C₂³×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
291	Q₈×C₁₃	—	2	1	no	—
292	Q₈×C₁₃	—	2	1	no	—
293	Q₈×C₁₃	—	2	1	no	—
294	Q₈×C₁₃	—	2	1	no	—
295	Q₈×C₁₃	—	2	1	no	—
296	Q₈×C₁₃	#123	1	2	yes	—
297	D₄×C₁₃	—	2	2	no	—
298	D₄×C₁₃	—	2	2	no	—
299	D₄×C₁₃	—	2	1	no	—
300	D₄×C₁₃	—	2	1	no	—
301	D₄×C₁₃	—	2	2	no	—
302	D₄×C₁₃	—	2	1	no	—
303	D₄×C₁₃	—	2	1	no	—
304	D₄×C₁₃	—	2	2	no	—
305	D₄×C₁₃	—	2	1	no	—
306	D₄×C₁₃	—	4	4	no	—
307	D₄×C₁₃	—	4	4	no	—
308	D₄×C₁₃	—	4	1	no	—
309	D₄×C₁₃	—	4	1	no	—
310	D₄×C₁₃	—	4	1	no	—
311	D₄×C₁₃	—	4	1	no	—
312	D₄×C₁₃	—	4	1	no	—
313	D₄×C₁₃	—	4	1	no	—
314	D₄×C₁₃	—	16	1	no	—
315	D₄×C₁₃	#123	1	2	yes	—
316	C₂×C₄×C₁₃	—	2	1	no	—
317	C₂×C₄×C₁₃	—	2	2	no	—
318	C₂×C₄×C₁₃	—	2	2	no	—
319	C₂×C₄×C₁₃	—	2	2	no	—
320	C₂×C₄×C₁₃	—	2	1	no	—
321	C₂×C₄×C₁₃	—	2	1	no	—
322	C₂×C₄×C₁₃	—	2	1	no	—
323	C₂×C₄×C₁₃	—	2	1	no	—
324	C₂×C₄×C₁₃	—	4	4	no	—
325	C₂×C₄×C₁₃	—	4	1	no	—
326	C₂×C₄×C₁₃	—	4	1	no	—
327	C₂×C₄×C₁₃	—	4	1	no	—
328	C₂×C₄×C₁₃	—	4	1	no	—
329	C₂×C₄×C₁₃	—	4	1	no	—
330	C₂×C₄×C₁₃	—	4	1	no	—
331	C₂×C₄×C₁₃	—	4	1	no	—
332	C₂×C₄×C₁₃	—	4	1	no	—
333	C₂×C₄×C₁₃	—	4	1	no	—
334	C₂×C₄×C₁₃	—	8	1	no	—
335	C₂×C₄×C₁₃	—	8	1	no	—
336	C₂×C₄×C₁₃	—	8	1	no	—
337	C₂×C₄×C₁₃	—	16	1	no	—
338	C₂×C₄×C₁₃	—	16	1	no	—
339	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
340	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
341	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
342	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
343	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
344	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
345	C₈×C₁₃	—	2	1	no	—
346	C₈×C₁₃	—	2	1	no	—
347	C₈×C₁₃	—	2	1	no	—
348	C₈×C₁₃	—	2	1	no	—
349	C₈×C₁₃	—	4	1	no	—
350	C₈×C₁₃	—	4	1	no	—
351	C₈×C₁₃	—	4	1	no	—
352	C₈×C₁₃	—	4	1	no	—
353	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	1	yes	characteristic
354	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
355	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
356	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
357	#537	C₂²×C₁₃	1	1	yes	characteristic
358	#520	C₂²×C₁₃	1	1	yes	characteristic
359	#520	C₂²×C₁₃	1	1	yes	characteristic, complemented
360	#485	—	2	1	no	—
361	#483	—	2	1	no	—
362	#482	—	2	1	no	—
363	#481	—	2	1	no	—
364	#452	—	2	1	no	—
365	#450	—	2	1	no	—
366	#449	—	2	1	no	—
367	#447	—	2	1	no	—
368	#442	—	2	1	no	—
369	#441	—	2	1	no	—
370	C₄×SD₁₆	—	2	1	no	—
371	C₄×SD₁₆	—	2	1	no	—
372	C₂×#108	C₂²×C₁₃	1	1	yes	characteristic, complemented
373	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
374	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic, complemented
375	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic, complemented
376	C₂×#104	C₂²×C₁₃	1	1	yes	characteristic
377	C₂×#104	C₂²×C₁₃	1	1	yes	characteristic
378	C₂×#104	C₂²×C₁₃	1	1	yes	characteristic, complemented
379	#418	—	2	1	no	—
380	#418	C₂²×C₁₃	1	1	yes	characteristic
381	#417	—	2	1	no	—
382	#417	C₂²×C₁₃	1	1	yes	characteristic
383	#417	C₂²×C₁₃	1	1	yes	characteristic
384	#417	C₂²×C₁₃	1	1	yes	characteristic
385	#417	C₂²×C₁₃	1	1	yes	characteristic
386	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
387	#416	—	2	1	no	—
388	#416	C₂²×C₁₃	1	1	yes	characteristic
389	C₂×#102	—	2	1	no	—
390	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
391	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
392	C₂×#100	C₂²×C₁₃	1	1	yes	characteristic
393	#408	C₂²×C₁₃	1	1	yes	characteristic
394	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
395	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
396	#390	C₂²×C₁₃	1	1	yes	characteristic
397	#384	C₂²×C₁₃	1	1	yes	characteristic, complemented
398	#343	C₂²×C₁₃	1	1	yes	characteristic, complemented
399	#343	C₂²×C₁₃	1	1	yes	characteristic, complemented
400	#343	C₂²×C₁₃	1	1	yes	characteristic, complemented
401	#341	C₂²×C₁₃	1	1	yes	characteristic, complemented
402	#339	C₂²×C₁₃	1	1	yes	characteristic, complemented
403	#336	C₂²×C₁₃	1	1	yes	characteristic, complemented
404	C₂²×C₁₃	—	2	1	no	—
405	C₂²×C₁₃	—	2	1	no	—
406	C₂²×C₁₃	—	2	2	no	—
407	C₂²×C₁₃	—	4	1	no	—
408	C₂²×C₁₃	—	4	1	no	—
409	C₂²×C₁₃	—	4	1	no	—
410	C₂²×C₁₃	—	4	2	no	—
411	C₂²×C₁₃	—	4	1	no	—
412	C₂²×C₁₃	—	4	1	no	—
413	C₂²×C₁₃	—	4	1	no	—
414	C₂²×C₁₃	—	4	1	no	—
415	C₂²×C₁₃	—	4	1	no	—
416	C₂²×C₁₃	—	8	2	no	—
417	C₂²×C₁₃	—	8	1	no	—
418	C₂²×C₁₃	—	8	1	no	—
419	C₂²×C₁₃	—	16	1	no	—
420	C₂²×C₁₃	—	16	4	no	—
421	C₂²×C₁₃	#538	1	1	yes	characteristic
422	C₂²×C₁₃	D₄²	1	1	yes	characteristic
423	C₂²×C₁₃	#551	1	1	yes	characteristic
424	C₄×C₁₃	—	2	2	no	—
425	C₄×C₁₃	—	4	2	no	—
426	C₄×C₁₃	—	4	1	no	—
427	C₄×C₁₃	—	4	1	no	—
428	C₄×C₁₃	—	4	1	no	—
429	C₄×C₁₃	—	4	1	no	—
430	C₄×C₁₃	—	8	1	no	—
431	C₄×C₁₃	—	8	1	no	—
432	C₄×C₁₃	—	8	1	no	—
433	C₄×C₁₃	C₂×#123	1	1	yes	characteristic
434	C₄×C₁₃	#525	1	1	yes	characteristic
435	C₄×C₁₃	#546	1	1	yes	characteristic
436	C₄×C₁₃	#546	1	1	yes	characteristic
437	H(5,𝔽₂)	—	2	2	no	—
438	H(5,𝔽₂)	—	2	2	no	—
439	H(5,𝔽₂)	—	2	2	no	—
440	H(5,𝔽₂)	—	4	1	no	—
441	C₂×#41	—	2	1	no	—
442	C₂×#41	—	2	1	no	—
443	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
444	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
445	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
446	C₂²×D₄	—	2	1	no	—
447	C₂²×D₄	—	2	1	no	—
448	C₂²×D₄	—	4	1	no	—
449	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
450	AGL(1,ℤ/8)	—	2	2	no	—
451	AGL(1,ℤ/8)	—	4	1	no	—
452	#135	—	2	2	no	—
453	#135	—	2	2	no	—
454	C₂×Q₁₆	D₄×C₁₃	1	1	yes	characteristic
455	C₂×SD₁₆	—	2	1	no	—
456	C₂×SD₁₆	D₄×C₁₃	1	1	yes	characteristic
457	C₂×SD₁₆	D₄×C₁₃	1	1	yes	characteristic
458	C₂×D₈	—	2	1	no	—
459	C₂×D₈	D₄×C₁₃	1	1	yes	characteristic
460	#131	—	2	2	no	—
461	#131	—	4	1	no	—
462	C₂×M₁₆	—	2	1	no	—
463	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
464	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
465	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
466	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
467	C₂²×C₈	—	2	1	no	—
468	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
469	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
470	C₂²⋊Q₈	—	2	1	no	—
471	C₂²⋊Q₈	—	2	1	no	—
472	#121	—	2	1	no	—
473	#121	—	2	1	no	—
474	#121	—	4	1	no	—
475	C₄×Q₈	—	2	1	no	—
476	C₄×Q₈	—	2	1	no	—
477	C₄×D₄	—	2	1	no	—
478	C₄×D₄	—	2	1	no	—
479	C₄×D₄	—	4	1	no	—
480	C₄×D₄	—	4	1	no	—
481	#117	—	2	1	no	—
482	#117	—	2	1	no	—
483	#117	C₂³×C₁₃	1	1	yes	characteristic
484	C₂×C₄⋊C₄	—	2	1	no	—
485	C₂×C₄⋊C₄	—	2	1	no	—
486	C₂×C₄⋊C₄	—	4	1	no	—
487	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
488	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
489	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
490	C₂×C₂²⋊C₄	—	4	1	no	—
491	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
492	#108	—	4	1	no	—
493	#107	—	2	1	no	—
494	#106	—	2	1	no	—
495	#106	—	2	1	no	—
496	#106	—	2	1	no	—
497	#106	—	2	1	no	—
498	#106	—	2	1	no	—
499	#104	—	2	2	no	—
500	#104	—	4	1	no	—
501	#104	—	4	1	no	—
502	#103	—	2	1	no	—
503	#103	—	2	1	no	—
504	#103	—	2	1	no	—
505	#103	—	2	1	no	—
506	#103	—	2	1	no	—
507	#103	D₄×C₁₃	1	1	yes	characteristic
508	#103	D₄×C₁₃	1	1	yes	characteristic
509	#102	—	2	1	no	—
510	#102	—	2	1	no	—
511	#102	—	2	1	no	—
512	#102	—	2	1	no	—
513	#102	—	2	1	no	—
514	#102	—	2	1	no	—
515	#102	—	2	1	no	—
516	#102	—	2	1	no	—
517	#102	—	2	1	no	—
518	#102	—	2	1	no	—
519	#102	—	2	1	no	—
520	#102	D₄×C₁₃	1	1	yes	characteristic
521	#102	D₄×C₁₃	1	1	yes	characteristic
522	#100	—	2	2	no	—
523	C₂²⋊C₈	—	2	1	no	—
524	C₂²⋊C₈	—	2	1	no	—
525	C₂²⋊C₈	—	2	1	no	—
526	C₂²⋊C₈	—	2	1	no	—
527	#97	—	2	1	no	—
528	C₄×C₈	—	2	1	no	—
529	C₂×C₁₃	—	2	1	no	—
530	C₂×C₁₃	—	2	1	no	—
531	C₂×C₁₃	—	4	2	no	—
532	C₂×C₁₃	—	8	1	no	—
533	C₂×C₁₃	—	8	1	no	—
534	C₂×C₁₃	—	8	2	no	—
535	C₂×C₁₃	#2418	1	1	yes	characteristic
536	C₂×C₁₃	#3288	1	1	yes	characteristic
537	C₂×C₁₃	#3291	1	1	yes	characteristic
538	C₂⁴	—	2	1	no	—
539	C₂⁴	—	4	1	no	—
540	#41	—	2	1	no	—
541	#41	—	2	1	no	—
542	#41	—	2	4	no	—
543	#41	—	2	1	no	—
544	#41	—	2	1	no	—
545	#41	—	2	1	no	—
546	#41	—	2	1	no	—
547	#41	—	2	1	no	—
548	#41	—	2	1	no	—
549	#41	—	2	1	no	—
550	#41	—	2	1	no	—
551	#41	—	4	2	no	—
552	#41	—	4	2	no	—
553	#41	—	4	2	no	—
554	#41	C₁₃×#41	1	2	yes	—
555	#41	C₁₃×#41	1	2	yes	—
556	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
557	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
558	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
559	C₂×D₄	—	2	1	no	—
560	C₂×D₄	—	2	4	no	—
561	C₂×D₄	—	2	1	no	—
562	C₂×D₄	—	2	1	no	—
563	C₂×D₄	—	2	1	no	—
564	C₂×D₄	—	2	1	no	—
565	C₂×D₄	—	2	1	no	—
566	C₂×D₄	—	2	1	no	—
567	C₂×D₄	—	2	1	no	—
568	C₂×D₄	—	4	2	no	—
569	C₂×D₄	—	4	1	no	—
570	C₂×D₄	—	4	1	no	—
571	C₂×D₄	—	4	2	no	—
572	C₂×D₄	—	4	4	no	—
573	C₂×D₄	—	4	4	no	—
574	C₂×D₄	—	4	2	no	—
575	C₂×D₄	—	4	1	no	—
576	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
577	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
578	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
579	C₂×D₄	C₁₃×#41	1	2	yes	—
580	C₂²×C₄	—	2	1	no	—
581	C₂²×C₄	—	2	1	no	—
582	C₂²×C₄	—	2	1	no	—
583	C₂²×C₄	—	2	1	no	—
584	C₂²×C₄	—	2	1	no	—
585	C₂²×C₄	—	2	1	no	—
586	C₂²×C₄	—	2	1	no	—
587	C₂²×C₄	—	4	1	no	—
588	C₂²×C₄	—	4	1	no	—
589	C₂²×C₄	—	4	1	no	—
590	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
591	Q₁₆	—	2	2	no	—
592	SD₁₆	—	2	2	no	—
593	SD₁₆	—	2	2	no	—
594	SD₁₆	—	4	2	no	—
595	D₈	—	2	2	no	—
596	D₈	—	4	2	no	—
597	M₁₆	—	2	1	no	—
598	M₁₆	—	2	1	no	—
599	M₁₆	—	2	1	no	—
600	M₁₆	—	2	1	no	—
601	M₁₆	—	2	1	no	—
602	M₁₆	—	2	1	no	—
603	M₁₆	—	2	1	no	—
604	M₁₆	—	2	1	no	—
605	M₁₆	—	4	2	no	—
606	C₂×C₈	—	2	1	no	—
607	C₂×C₈	—	2	1	no	—
608	C₂×C₈	—	2	1	no	—
609	C₂×C₈	—	2	1	no	—
610	C₂×C₈	—	2	1	no	—
611	C₂×C₈	—	2	1	no	—
612	C₂×C₈	—	2	1	no	—
613	C₂×C₈	—	2	1	no	—
614	C₂×C₈	—	4	2	no	—
615	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
616	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
617	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
618	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
619	C₄⋊C₄	—	2	1	no	—
620	C₄⋊C₄	—	2	1	no	—
621	C₄⋊C₄	—	2	1	no	—
622	C₄⋊C₄	—	2	1	no	—
623	C₄⋊C₄	—	2	1	no	—
624	C₄⋊C₄	—	2	1	no	—
625	C₄⋊C₄	—	4	1	no	—
626	C₄⋊C₄	—	4	1	no	—
627	C₄⋊C₄	—	4	1	no	—
628	C₄⋊C₄	—	8	2	no	—
629	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
630	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
631	C₂²⋊C₄	—	2	1	no	—
632	C₂²⋊C₄	—	4	1	no	—
633	C₂²⋊C₄	—	4	1	no	—
634	C₂²⋊C₄	—	4	1	no	—
635	C₂²⋊C₄	—	4	1	no	—
636	C₂²⋊C₄	—	8	2	no	—
637	C₄²	—	2	1	no	—
638	C₄²	—	2	1	no	—
639	C₄²	—	2	1	no	—
640	C₄²	—	4	1	no	—
641	C₄²	—	4	1	no	—
642	C₁₃	#24932	1	1	yes	characteristic, direct product factor, Sylow
643	C₂³	—	2	1	no	—
644	C₂³	—	2	1	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	2	no	—
647	C₂³	—	4	4	no	—
648	C₂³	—	4	1	no	—
649	C₂³	—	4	1	no	—
650	C₂³	—	8	1	no	—
651	C₂³	—	8	1	no	—
652	C₂³	—	16	1	no	—
653	C₂³	—	16	1	no	—
654	C₂³	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
655	Q₈	—	2	1	no	—
656	Q₈	—	2	1	no	—
657	Q₈	—	2	1	no	—
658	Q₈	—	2	1	no	—
659	Q₈	—	2	1	no	—
660	Q₈	C₁₃×#123	1	2	yes	—
661	D₄	—	2	2	no	—
662	D₄	—	2	2	no	—
663	D₄	—	2	1	no	—
664	D₄	—	2	1	no	—
665	D₄	—	2	2	no	—
666	D₄	—	2	1	no	—
667	D₄	—	2	1	no	—
668	D₄	—	2	2	no	—
669	D₄	—	2	1	no	—
670	D₄	—	4	4	no	—
671	D₄	—	4	4	no	—
672	D₄	—	4	1	no	—
673	D₄	—	4	1	no	—
674	D₄	—	4	1	no	—
675	D₄	—	4	1	no	—
676	D₄	—	4	1	no	—
677	D₄	—	4	1	no	—
678	D₄	—	16	1	no	—
679	D₄	C₁₃×#123	1	2	yes	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	2	no	—
682	C₂×C₄	—	2	2	no	—
683	C₂×C₄	—	2	2	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	1	no	—
687	C₂×C₄	—	2	1	no	—
688	C₂×C₄	—	4	4	no	—
689	C₂×C₄	—	4	1	no	—
690	C₂×C₄	—	4	1	no	—
691	C₂×C₄	—	4	1	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	4	1	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	8	1	no	—
699	C₂×C₄	—	8	1	no	—
700	C₂×C₄	—	8	1	no	—
701	C₂×C₄	—	16	1	no	—
702	C₂×C₄	—	16	1	no	—
703	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
704	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
705	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
706	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
707	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
708	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
709	C₈	—	2	1	no	—
710	C₈	—	2	1	no	—
711	C₈	—	2	1	no	—
712	C₈	—	2	1	no	—
713	C₈	—	4	1	no	—
714	C₈	—	4	1	no	—
715	C₈	—	4	1	no	—
716	C₈	—	4	1	no	—
717	C₂²	—	2	1	no	—
718	C₂²	—	2	1	no	—
719	C₂²	—	2	2	no	—
720	C₂²	—	4	1	no	—
721	C₂²	—	4	1	no	—
722	C₂²	—	4	1	no	—
723	C₂²	—	4	1	no	—
724	C₂²	—	4	1	no	—
725	C₂²	—	4	1	no	—
726	C₂²	—	4	1	no	—
727	C₂²	—	4	2	no	—
728	C₂²	—	4	1	no	—
729	C₂²	—	8	2	no	—
730	C₂²	—	8	1	no	—
731	C₂²	—	8	1	no	—
732	C₂²	—	16	1	no	—
733	C₂²	—	16	4	no	—
734	C₂²	C₁₃×#538	1	1	yes	characteristic
735	C₂²	D₄²×C₁₃	1	1	yes	characteristic
736	C₂²	C₁₃×#551	1	1	yes	characteristic
737	C₄	—	2	2	no	—
738	C₄	—	4	2	no	—
739	C₄	—	4	1	no	—
740	C₄	—	4	1	no	—
741	C₄	—	4	1	no	—
742	C₄	—	4	1	no	—
743	C₄	—	8	1	no	—
744	C₄	—	8	1	no	—
745	C₄	—	8	1	no	—
746	C₄	C₂×C₁₃×#123	1	1	yes	characteristic
747	C₄	C₁₃×#525	1	1	yes	characteristic
748	C₄	C₁₃×#546	1	1	yes	characteristic
749	C₄	C₁₃×#546	1	1	yes	characteristic
750	C₂	—	2	1	no	—
751	C₂	—	2	1	no	—
752	C₂	—	4	2	no	—
753	C₂	—	8	1	no	—
754	C₂	—	8	1	no	—
755	C₂	—	8	2	no	—
756	C₂	C₁₃×#2418	1	1	yes	characteristic
757	C₂	C₁₃×#3288	1	1	yes	characteristic
758	C₂	C₁₃×#3291	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	D₄²
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₁₃×#3012	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂²×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3099	C₂	semidirect
3. C₁₃×#2952	C₂	semidirect
4. C₁₃×#2897	C₂	semidirect
5. C₁₃×#2094	C₂	semidirect
6. C₁₃×#2079	C₂	semidirect
7. C₁₃×#2051	C₂	semidirect
8. C₁₃×#2039	C₂	semidirect
9. C₁₃×#1931	C₂	semidirect
10. C₁₃×#1929	C₂	semidirect
11. C₁₃×#1883	C₂	semidirect
12. C₁₃×#1876	C₂	semidirect
13. C₁₃×#1859	C₂	semidirect
14. C₁₃×#1815	C₂	semidirect
15. C₁₃×#1792	C₂	semidirect
22. C₁₃×#520	C₂²	semidirect
35. C₂×C₁₃×#108	C₂²	semidirect
36. C₁₃×#428	C₂²	semidirect
37. C₂×C₁₃×#106	C₂²	semidirect
38. C₂×C₁₃×#106	C₂²	semidirect
41. C₂×C₁₃×#104	C₂²	semidirect
49. C₁₃×#417	C₂²	semidirect
57. C₁₃×#408	C₂²	semidirect
58. C₁₃×#405	C₂²	semidirect
60. C₁₃×#384	C₂²	semidirect
61. C₁₃×#343	C₂²	semidirect
62. C₁₃×#343	C₂²	semidirect
63. C₁₃×#343	C₂²	semidirect
64. C₁₃×#341	C₂²	semidirect
65. C₁₃×#339	C₂²	semidirect
66. C₁₃×#336	C₂²	semidirect
159. #24932	C₁₃	direct (N × H)
264. #3099	C₂×C₁₃	semidirect
266. #2952	C₂×C₁₃	semidirect
267. #2897	C₂×C₁₃	semidirect
268. #2094	C₂×C₁₃	semidirect
269. #2079	C₂×C₁₃	semidirect
270. #2051	C₂×C₁₃	semidirect
271. #2039	C₂×C₁₃	semidirect
272. #1931	C₂×C₁₃	semidirect
273. #1929	C₂×C₁₃	semidirect
274. #1883	C₂×C₁₃	semidirect
275. #1876	C₂×C₁₃	semidirect
276. #1859	C₂×C₁₃	semidirect
277. #1815	C₂×C₁₃	semidirect
278. #1792	C₂×C₁₃	semidirect
359. #520	C₂²×C₁₃	semidirect
372. C₂×#108	C₂²×C₁₃	semidirect
373. #428	C₂²×C₁₃	semidirect
374. C₂×#106	C₂²×C₁₃	semidirect
375. C₂×#106	C₂²×C₁₃	semidirect
378. C₂×#104	C₂²×C₁₃	semidirect
386. #417	C₂²×C₁₃	semidirect
394. #408	C₂²×C₁₃	semidirect
395. #405	C₂²×C₁₃	semidirect
397. #384	C₂²×C₁₃	semidirect
398. #343	C₂²×C₁₃	semidirect
399. #343	C₂²×C₁₃	semidirect
400. #343	C₂²×C₁₃	semidirect
401. #341	C₂²×C₁₃	semidirect
402. #339	C₂²×C₁₃	semidirect
403. #336	C₂²×C₁₃	semidirect
642. C₁₃	#24932	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×#3099	2
C₁₃×#3012	2
C₁₃×#2952	2
C₁₃×#2897	2
C₁₃×#2094	2
C₁₃×#2079	2
C₁₃×#2051	2
C₁₃×#2039	2
C₁₃×#1931	2
C₁₃×#1929	2
C₁₃×#1883	2
C₁₃×#1876	2
C₁₃×#1859	2
C₁₃×#1815	2
C₁₃×#1792	2
#24932	13

Subgroups — C13×#24932 #15711271

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#24932 #15711271