Subgroups — C₁₃×#18035 #15704374

Order 3328.

656 conjugacy classes of subgroups.

The subgroup lattice has 340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2970	C₂	1	2	yes	maximal, complemented
2	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#1591	C₂	1	2	yes	maximal, complemented
4	C₁₃×#1582	C₂	1	4	yes	maximal, complemented
5	C₈×C₁₃×D₈	C₂	1	2	yes	maximal, complemented
6	C₁₃×#1568	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1488	C₂	1	2	yes	maximal, complemented
8	C₈×C₁₃×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#135	C₄	1	1	yes	characteristic
10	C₄×C₁₃×#41	C₂²	1	2	yes	—
11	C₁₃×#446	C₂²	1	4	yes	—
12	C₄×C₁₃×Q₁₆	C₄	1	1	yes	characteristic
13	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
14	C₄×C₁₃×SD₁₆	C₄	1	2	yes	—
15	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
16	C₄×C₁₃×D₈	C₄	1	1	yes	characteristic
17	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
18	C₁₃×#435	—	2	4	no	—
19	C₈×D₄×C₁₃	C₂²	1	4	yes	—
20	C₁₃×#432	—	2	2	no	—
21	C₁₃×#432	C₂²	1	2	yes	—
22	C₁₃×#431	C₂²	1	1	yes	characteristic
23	C₁₃×#427	C₄	1	1	yes	characteristic
24	C₁₃×#416	C₄	1	2	yes	—
25	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#97	—	2	2	no	—
27	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
28	C₁₃×#335	C₂²	1	2	yes	—
29	C₁₃×#334	C₂²	1	2	yes	—
30	C₁₃×Q₈⋊C₈	C₂²	1	4	yes	—
31	C₁₃×D₄⋊C₈	C₂²	1	4	yes	—
32	C₁₃×#322	C₂²	1	2	yes	—
33	C₈²×C₁₃	C₂²	1	2	yes	—
34	C₂×C₁₃×#41	C₂×C₄	1	2	yes	—
35	C₁₃×#135	—	2	4	no	—
36	C₂×C₁₃×Q₁₆	C₂×C₄	1	1	yes	characteristic
37	C₂×C₁₃×SD₁₆	C₂×C₄	1	2	yes	—
38	C₂×C₁₃×D₈	C₂×C₄	1	1	yes	characteristic
39	C₂×C₁₃×M₁₆	D₄	1	2	yes	—
40	C₂²×C₈×C₁₃	—	2	4	no	—
41	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
42	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
43	C₄×Q₈×C₁₃	C₂×C₄	1	2	yes	—
44	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
45	C₄×D₄×C₁₃	—	2	2	no	—
46	C₄×D₄×C₁₃	—	2	2	no	—
47	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
48	C₄×D₄×C₁₃	C₂³	1	2	yes	—
49	C₁₃×#117	—	2	2	no	—
50	C₁₃×#117	C₂×C₄	1	2	yes	—
51	C₂×C₄²×C₁₃	—	2	2	no	—
52	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
53	C₁₃×#107	C₂×C₄	1	1	yes	characteristic
54	C₁₃×#107	C₂×C₄	1	1	yes	characteristic
55	C₁₃×#106	C₂×C₄	1	2	yes	—
56	C₁₃×C₄⋊C₈	—	2	4	no	—
57	C₁₃×C₄⋊C₈	—	2	1	no	—
58	C₁₃×C₄⋊C₈	C₂³	1	4	yes	—
59	C₁₃×#103	C₂×C₄	1	2	yes	—
60	C₁₃×#103	C₂×C₄	1	2	yes	—
61	C₁₃×#102	C₂×C₄	1	2	yes	—
62	C₁₃×#102	C₂×C₄	1	2	yes	—
63	C₁₃×C₂²⋊C₈	—	2	2	no	—
64	C₁₃×C₂²⋊C₈	—	2	1	no	—
65	C₁₃×C₂²⋊C₈	—	2	4	no	—
66	C₁₃×#97	—	2	4	no	—
67	C₁₃×#97	—	2	2	no	—
68	C₁₃×#97	D₄	1	1	yes	characteristic
69	C₁₃×#97	D₄	1	1	yes	characteristic
70	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
71	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
72	C₄×C₈×C₁₃	C₂³	1	2	yes	—
73	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
74	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
75	C₄×C₈×C₁₃	C₂³	1	2	yes	—
76	#18035	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
77	C₁₃×#41	—	2	4	no	—
78	C₁₃×#41	—	4	2	no	—
79	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
80	C₂×D₄×C₁₃	—	2	2	no	—
81	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
82	C₂²×C₄×C₁₃	—	2	2	no	—
83	C₂²×C₄×C₁₃	—	2	2	no	—
84	C₂²×C₄×C₁₃	—	2	2	no	—
85	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
88	C₁₃×Q₁₆	—	2	2	no	—
89	C₁₃×SD₁₆	—	2	4	no	—
90	C₁₃×D₈	M₁₆	1	4	yes	complemented
91	C₁₃×M₁₆	—	2	4	no	—
92	C₂×C₈×C₁₃	—	2	2	no	—
93	C₂×C₈×C₁₃	—	2	4	no	—
94	C₂×C₈×C₁₃	—	2	2	no	—
95	C₂×C₈×C₁₃	—	4	1	no	—
96	C₂×C₈×C₁₃	—	4	8	no	—
97	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
98	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
99	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
100	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
101	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
102	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
103	C₁₃×C₄⋊C₄	—	2	2	no	—
104	C₁₃×C₄⋊C₄	—	2	2	no	—
105	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
106	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
107	C₁₃×C₂²⋊C₄	—	2	2	no	—
108	C₁₃×C₂²⋊C₄	—	2	2	no	—
109	C₁₃×C₂²⋊C₄	—	2	2	no	—
110	C₄²×C₁₃	—	2	2	no	—
111	C₄²×C₁₃	—	2	2	no	—
112	C₄²×C₁₃	—	2	2	no	—
113	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
115	C₄²×C₁₃	#41	1	1	yes	characteristic
116	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
117	#2970	C₂×C₁₃	1	2	yes	complemented
118	C₄×#135	C₂×C₁₃	1	1	yes	characteristic
119	#1591	C₂×C₁₃	1	2	yes	complemented
120	#1582	C₂×C₁₃	1	4	yes	complemented
121	C₈×D₈	C₂×C₁₃	1	2	yes	complemented
122	#1568	C₂×C₁₃	1	1	yes	characteristic, complemented
123	#1488	C₂×C₁₃	1	2	yes	complemented
124	C₈×M₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
125	C₂³×C₁₃	—	2	2	no	—
126	C₂³×C₁₃	C₄×D₄	1	1	yes	characteristic
127	Q₈×C₁₃	—	2	2	no	—
128	Q₈×C₁₃	—	2	2	no	—
129	D₄×C₁₃	—	2	2	no	—
130	D₄×C₁₃	—	4	4	no	—
131	D₄×C₁₃	C₂×M₁₆	1	4	yes	—
132	C₂×C₄×C₁₃	—	2	1	no	—
133	C₂×C₄×C₁₃	—	2	1	no	—
134	C₂×C₄×C₁₃	—	2	2	no	—
135	C₂×C₄×C₁₃	—	2	2	no	—
136	C₂×C₄×C₁₃	—	2	2	no	—
137	C₂×C₄×C₁₃	—	2	2	no	—
138	C₂×C₄×C₁₃	—	4	1	no	—
139	C₂×C₄×C₁₃	—	4	4	no	—
140	C₂×C₄×C₁₃	—	4	4	no	—
141	C₂×C₄×C₁₃	—	8	2	no	—
142	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
143	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
144	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
145	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
146	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
147	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
148	C₈×C₁₃	—	2	1	no	—
149	C₈×C₁₃	—	2	1	no	—
150	C₈×C₁₃	—	2	1	no	—
151	C₈×C₁₃	—	2	2	no	—
152	C₈×C₁₃	—	4	2	no	—
153	C₈×C₁₃	—	4	4	no	—
154	C₈×C₁₃	C₂×M₁₆	1	2	yes	—
155	C₈×C₁₃	#135	1	4	yes	complemented
156	C₂×#135	C₄×C₁₃	1	1	yes	characteristic
157	C₄×#41	C₂²×C₁₃	1	2	yes	—
158	#446	C₂²×C₁₃	1	4	yes	—
159	C₄×Q₁₆	C₄×C₁₃	1	1	yes	characteristic
160	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
161	C₄×SD₁₆	C₄×C₁₃	1	2	yes	—
162	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
163	C₄×D₈	C₄×C₁₃	1	1	yes	characteristic
164	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
165	#435	—	2	4	no	—
166	C₈×D₄	C₂²×C₁₃	1	4	yes	—
167	#432	—	2	2	no	—
168	#432	C₂²×C₁₃	1	2	yes	—
169	#431	C₂²×C₁₃	1	1	yes	characteristic
170	#427	C₄×C₁₃	1	1	yes	characteristic
171	#416	C₄×C₁₃	1	2	yes	—
172	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
173	C₂×#97	—	2	2	no	—
174	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
175	#335	C₂²×C₁₃	1	2	yes	—
176	#334	C₂²×C₁₃	1	2	yes	—
177	Q₈⋊C₈	C₂²×C₁₃	1	4	yes	—
178	D₄⋊C₈	C₂²×C₁₃	1	4	yes	—
179	#322	C₂²×C₁₃	1	2	yes	—
180	C₈²	C₂²×C₁₃	1	2	yes	—
181	C₂²×C₁₃	—	2	1	no	—
182	C₂²×C₁₃	—	2	4	no	—
183	C₂²×C₁₃	—	2	1	no	—
184	C₂²×C₁₃	—	2	1	no	—
185	C₂²×C₁₃	—	4	2	no	—
186	C₂²×C₁₃	—	4	2	no	—
187	C₂²×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
188	C₄×C₁₃	—	2	1	no	—
189	C₄×C₁₃	—	2	1	no	—
190	C₄×C₁₃	—	2	1	no	—
191	C₄×C₁₃	—	2	1	no	—
192	C₄×C₁₃	—	4	2	no	—
193	C₄×C₁₃	—	4	2	no	—
194	C₄×C₁₃	—	4	2	no	—
195	C₄×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
196	C₄×C₁₃	#568	1	1	yes	characteristic
197	C₄×C₁₃	C₂×#135	1	2	yes	—
198	C₂×#41	C₂×C₄×C₁₃	1	2	yes	—
199	#135	—	2	4	no	—
200	C₂×Q₁₆	C₂×C₄×C₁₃	1	1	yes	characteristic
201	C₂×SD₁₆	C₂×C₄×C₁₃	1	2	yes	—
202	C₂×D₈	C₂×C₄×C₁₃	1	1	yes	characteristic
203	C₂×M₁₆	D₄×C₁₃	1	2	yes	—
204	C₂²×C₈	—	2	4	no	—
205	C₂²×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
206	C₂²×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
207	C₄×Q₈	C₂×C₄×C₁₃	1	2	yes	—
208	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
209	C₄×D₄	—	2	2	no	—
210	C₄×D₄	—	2	2	no	—
211	C₄×D₄	C₂×C₄×C₁₃	1	2	yes	—
212	C₄×D₄	C₂³×C₁₃	1	2	yes	—
213	#117	—	2	2	no	—
214	#117	C₂×C₄×C₁₃	1	2	yes	—
215	C₂×C₄²	—	2	2	no	—
216	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
217	#107	C₂×C₄×C₁₃	1	1	yes	characteristic
218	#107	C₂×C₄×C₁₃	1	1	yes	characteristic
219	#106	C₂×C₄×C₁₃	1	2	yes	—
220	C₄⋊C₈	—	2	4	no	—
221	C₄⋊C₈	—	2	1	no	—
222	C₄⋊C₈	C₂³×C₁₃	1	4	yes	—
223	#103	C₂×C₄×C₁₃	1	2	yes	—
224	#103	C₂×C₄×C₁₃	1	2	yes	—
225	#102	C₂×C₄×C₁₃	1	2	yes	—
226	#102	C₂×C₄×C₁₃	1	2	yes	—
227	C₂²⋊C₈	—	2	2	no	—
228	C₂²⋊C₈	—	2	1	no	—
229	C₂²⋊C₈	—	2	4	no	—
230	#97	—	2	4	no	—
231	#97	—	2	2	no	—
232	#97	D₄×C₁₃	1	1	yes	characteristic
233	#97	D₄×C₁₃	1	1	yes	characteristic
234	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
235	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
236	C₄×C₈	C₂³×C₁₃	1	2	yes	—
237	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
238	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
239	C₄×C₈	C₂³×C₁₃	1	2	yes	—
240	C₂×C₁₃	—	4	1	no	—
241	C₂×C₁₃	—	4	4	no	—
242	C₂×C₁₃	D₄×M₁₆	1	1	yes	characteristic
243	C₂×C₁₃	C₄×#135	1	1	yes	characteristic
244	C₂×C₁₃	#2957	1	1	yes	characteristic
245	#41	—	2	4	no	—
246	#41	—	4	2	no	—
247	C₂×Q₈	C₂²×C₄×C₁₃	1	2	yes	—
248	C₂×D₄	—	2	2	no	—
249	C₂×D₄	C₂²×C₄×C₁₃	1	2	yes	—
250	C₂²×C₄	—	2	2	no	—
251	C₂²×C₄	—	2	2	no	—
252	C₂²×C₄	—	2	2	no	—
253	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
254	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
255	C₂²×C₄	C₁₃×#41	1	1	yes	characteristic
256	Q₁₆	—	2	2	no	—
257	SD₁₆	—	2	4	no	—
258	D₈	C₁₃×M₁₆	1	4	yes	complemented
259	M₁₆	—	2	4	no	—
260	C₂×C₈	—	2	2	no	—
261	C₂×C₈	—	2	4	no	—
262	C₂×C₈	—	2	2	no	—
263	C₂×C₈	—	4	1	no	—
264	C₂×C₈	—	4	8	no	—
265	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
266	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
267	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
268	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
269	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
270	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
271	C₄⋊C₄	—	2	2	no	—
272	C₄⋊C₄	—	2	2	no	—
273	C₄⋊C₄	C₂²×C₄×C₁₃	1	2	yes	—
274	C₄⋊C₄	C₂²×C₄×C₁₃	1	2	yes	—
275	C₂²⋊C₄	—	2	2	no	—
276	C₂²⋊C₄	—	2	2	no	—
277	C₂²⋊C₄	—	2	2	no	—
278	C₄²	—	2	2	no	—
279	C₄²	—	2	2	no	—
280	C₄²	—	2	2	no	—
281	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
282	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
283	C₄²	C₁₃×#41	1	1	yes	characteristic
284	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
285	C₁₃	#18035	1	1	yes	characteristic, direct product factor, Sylow
286	C₂³	—	2	2	no	—
287	C₂³	C₄×D₄×C₁₃	1	1	yes	characteristic
288	Q₈	—	2	2	no	—
289	Q₈	—	2	2	no	—
290	D₄	—	2	2	no	—
291	D₄	—	4	4	no	—
292	D₄	C₂×C₁₃×M₁₆	1	4	yes	—
293	C₂×C₄	—	2	1	no	—
294	C₂×C₄	—	2	1	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	2	no	—
299	C₂×C₄	—	4	1	no	—
300	C₂×C₄	—	4	4	no	—
301	C₂×C₄	—	4	4	no	—
302	C₂×C₄	—	8	2	no	—
303	C₂×C₄	C₄×D₄×C₁₃	1	1	yes	characteristic
304	C₂×C₄	C₄×D₄×C₁₃	1	1	yes	characteristic
305	C₂×C₄	C₄×D₄×C₁₃	1	1	yes	characteristic
306	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
307	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
308	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
309	C₈	—	2	1	no	—
310	C₈	—	2	1	no	—
311	C₈	—	2	1	no	—
312	C₈	—	2	2	no	—
313	C₈	—	4	2	no	—
314	C₈	—	4	4	no	—
315	C₈	C₂×C₁₃×M₁₆	1	2	yes	—
316	C₈	C₁₃×#135	1	4	yes	complemented
317	C₂²	—	2	1	no	—
318	C₂²	—	2	4	no	—
319	C₂²	—	2	1	no	—
320	C₂²	—	2	1	no	—
321	C₂²	—	4	2	no	—
322	C₂²	—	4	2	no	—
323	C₂²	C₂×C₄×D₄×C₁₃	1	1	yes	characteristic
324	C₄	—	2	1	no	—
325	C₄	—	2	1	no	—
326	C₄	—	2	1	no	—
327	C₄	—	2	1	no	—
328	C₄	—	4	2	no	—
329	C₄	—	4	2	no	—
330	C₄	—	4	2	no	—
331	C₄	C₂²×C₁₃×M₁₆	1	1	yes	characteristic
332	C₄	C₁₃×#568	1	1	yes	characteristic
333	C₄	C₂×C₁₃×#135	1	2	yes	—
334	C₂	—	4	1	no	—
335	C₂	—	4	4	no	—
336	C₂	D₄×C₁₃×M₁₆	1	1	yes	characteristic
337	C₂	C₄×C₁₃×#135	1	1	yes	characteristic
338	C₂	C₁₃×#2957	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₃	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₁₃
Frattini, cosocle	C₄²	C₂⁴×C₁₃
socle	C₂²×C₁₃	C₂×C₄×D₄
prime radical	C₂×C₁₃×#135	C₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₃ ◁ C₄×C₁₃×M₁₆ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2970	C₂	semidirect
3. C₁₃×#1591	C₂	semidirect
4. C₁₃×#1582	C₂	semidirect
5. C₈×C₁₃×D₈	C₂	semidirect
6. C₁₃×#1568	C₂	semidirect
7. C₁₃×#1488	C₂	semidirect
8. C₈×C₁₃×M₁₆	C₂	semidirect
76. #18035	C₁₃	direct (N × H)
90. C₁₃×D₈	M₁₆	semidirect
117. #2970	C₂×C₁₃	semidirect
119. #1591	C₂×C₁₃	semidirect
120. #1582	C₂×C₁₃	semidirect
121. C₈×D₈	C₂×C₁₃	semidirect
122. #1568	C₂×C₁₃	semidirect
123. #1488	C₂×C₁₃	semidirect
124. C₈×M₁₆	C₂×C₁₃	semidirect
155. C₈×C₁₃	#135	semidirect
258. D₈	C₁₃×M₁₆	semidirect
285. C₁₃	#18035	direct (N × H)
316. C₈	C₁₃×#135	semidirect

Maximal subgroups

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

subgroup	index
C₁₃×#2970	2
C₄×C₁₃×#135	2
C₁₃×#1591	2
C₁₃×#1582	2
C₈×C₁₃×D₈	2
C₁₃×#1568	2
C₁₃×#1488	2
C₈×C₁₃×M₁₆	2
#18035	13

Subgroups — C13×#18035 #15704374

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#18035 #15704374