Subgroups — C₁₃×#33470 #15719809

Order 3328.

632 conjugacy classes of subgroups.

The subgroup lattice has 352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#510	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2957	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#2950	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2180	C₂	1	8	yes	maximal, complemented
5	C₁₃×#2155	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×#362	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2145	C₂	1	1	yes	maximal, characteristic
8	C₁₃×#2110	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
10	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
11	C₁₃×#568	—	2	1	no	—
12	C₁₃×#519	—	2	1	no	—
13	C₁₃×#510	C₄	1	4	yes	complemented
14	C₁₃×#510	C₂²	1	4	yes	—
15	C₂×C₁₃×Q₃₂	C₄	1	2	yes	complemented
16	C₂×C₁₃×SD₃₂	C₄	1	2	yes	complemented
17	C₂×C₁₃×M₃₂	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×M₃₂	C₂²	1	1	yes	characteristic
19	C₁₃×#444	C₂²	1	4	yes	—
20	C₁₃×#443	—	2	2	no	—
21	C₁₃×#441	C₂²	1	4	yes	complemented
22	C₄×C₁₃×Q₁₆	—	2	2	no	—
23	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic
24	C₁₃×#427	C₂²	1	1	yes	characteristic
25	C₁₃×#421	—	2	1	no	—
26	C₁₃×#419	—	2	1	no	—
27	C₁₃×#405	C₂²	1	1	yes	characteristic
28	C₁₃×#365	C₂²	1	4	yes	complemented
29	C₁₃×#362	C₂²	1	4	yes	complemented
30	C₁₃×#360	C₂²	1	4	yes	—
31	C₁₃×#347	C₂²	1	4	yes	complemented
32	C₂×C₁₃×#41	—	2	1	no	—
33	C₂²×Q₈×C₁₃	—	2	1	no	—
34	C₁₃×#135	—	2	1	no	—
35	C₁₃×#135	—	2	1	no	—
36	C₁₃×#135	C₂×C₄	1	2	yes	—
37	C₁₃×#135	C₂³	1	2	yes	—
38	C₂×C₁₃×Q₁₆	—	2	1	no	—
39	C₂×C₁₃×Q₁₆	—	2	1	no	—
40	C₂×C₁₃×Q₁₆	—	2	1	no	—
41	C₂×C₁₃×Q₁₆	C₂×C₄	1	2	yes	—
42	C₂×C₁₃×Q₁₆	C₂×C₄	1	1	yes	characteristic
43	C₂×C₁₃×Q₁₆	C₂×C₄	1	2	yes	—
44	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
45	C₂×C₁₃×SD₁₆	—	2	1	no	—
46	C₂×C₁₃×D₈	C₂×C₄	1	1	yes	characteristic
47	C₁₃×#131	—	2	4	no	—
48	C₁₃×#131	—	4	2	no	—
49	C₂×C₁₃×M₁₆	—	2	1	no	—
50	C₂×C₁₃×M₁₆	—	4	2	no	—
51	C₂×C₁₃×M₁₆	D₄	1	1	yes	characteristic
52	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
53	C₄×Q₈×C₁₃	—	2	4	no	—
54	C₄×Q₈×C₁₃	—	4	2	no	—
55	C₁₃×#117	—	2	1	no	—
56	C₁₃×#117	—	4	2	no	—
57	C₁₃×#117	D₄	1	1	yes	characteristic
58	C₁₃×Q₃₂	C₂×C₄	1	8	yes	—
59	C₁₃×SD₃₂	C₂×C₄	1	8	yes	—
60	C₁₃×M₃₂	—	2	1	no	—
61	C₁₃×M₃₂	C₂×C₄	1	2	yes	—
62	C₁₃×M₃₂	C₂³	1	2	yes	—
63	C₁₃×M₃₂	C₂³	1	2	yes	—
64	C₂×C₁₃×C₁₆	—	2	1	no	—
65	C₂×C₁₃×C₁₆	C₂×C₄	1	2	yes	—
66	C₁₃×#108	—	2	1	no	—
67	C₁₃×#108	C₂³	1	2	yes	—
68	C₁₃×#107	—	2	1	no	—
69	C₁₃×#106	C₂³	1	2	yes	—
70	C₁₃×#104	—	2	4	no	—
71	C₁₃×#103	—	2	4	no	—
72	C₁₃×#97	C₂³	1	2	yes	—
73	C₄×C₈×C₁₃	D₄	1	2	yes	—
74	#33470	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
75	C₁₃×#41	—	2	2	no	—
76	C₁₃×#41	—	2	2	no	—
77	C₁₃×#41	—	4	1	no	—
78	C₁₃×#41	—	4	1	no	—
79	C₂×Q₈×C₁₃	—	2	1	no	—
80	C₂×Q₈×C₁₃	—	2	2	no	—
81	C₂×Q₈×C₁₃	—	2	2	no	—
82	C₂×Q₈×C₁₃	—	2	2	no	—
83	C₂×Q₈×C₁₃	—	4	1	no	—
84	C₂×Q₈×C₁₃	—	4	1	no	—
85	C₂×Q₈×C₁₃	—	4	1	no	—
86	C₂×D₄×C₁₃	—	2	1	no	—
87	C₂×D₄×C₁₃	—	4	1	no	—
88	C₂²×C₄×C₁₃	—	4	1	no	—
89	C₂²×C₄×C₁₃	—	4	1	no	—
90	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
91	C₁₃×Q₁₆	—	2	2	no	—
92	C₁₃×Q₁₆	—	2	2	no	—
93	C₁₃×Q₁₆	—	2	1	no	—
94	C₁₃×Q₁₆	—	2	2	no	—
95	C₁₃×Q₁₆	C₂²×C₄	1	4	yes	—
96	C₁₃×Q₁₆	C₂²×C₄	1	2	yes	—
97	C₁₃×SD₁₆	—	2	2	no	—
98	C₁₃×SD₁₆	—	2	2	no	—
99	C₁₃×D₈	—	2	1	no	—
100	C₁₃×D₈	C₂²×C₄	1	2	yes	—
101	C₁₃×M₁₆	—	2	1	no	—
102	C₁₃×M₁₆	—	2	1	no	—
103	C₁₃×M₁₆	—	2	2	no	—
104	C₁₃×M₁₆	—	4	4	no	—
105	C₁₃×M₁₆	—	4	1	no	—
106	C₂×C₈×C₁₃	—	4	4	no	—
107	C₂×C₈×C₁₃	—	4	1	no	—
108	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
109	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
110	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
111	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
112	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
113	C₂×C₈×C₁₃	#41	1	1	yes	characteristic
114	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
115	C₁₃×C₄⋊C₄	—	2	1	no	—
116	C₁₃×C₄⋊C₄	—	2	2	no	—
117	C₁₃×C₄⋊C₄	—	4	4	no	—
118	C₁₃×C₂²⋊C₄	—	2	1	no	—
119	C₁₃×C₂²⋊C₄	—	4	1	no	—
120	C₄²×C₁₃	—	4	4	no	—
121	C₄²×C₁₃	—	4	1	no	—
122	C₄²×C₁₃	C₂×D₄	1	2	yes	—
123	C₁₃×C₁₆	—	2	2	no	—
124	C₁₃×C₁₆	C₂²×C₄	1	4	yes	—
125	C₂×#510	C₂×C₁₃	1	1	yes	characteristic
126	#2957	C₂×C₁₃	1	1	yes	characteristic
127	#2950	C₂×C₁₃	1	1	yes	characteristic, complemented
128	#2180	C₂×C₁₃	1	8	yes	complemented
129	#2155	C₂×C₁₃	1	1	yes	characteristic, complemented
130	C₂×#362	C₂×C₁₃	1	1	yes	characteristic, complemented
131	#2145	C₂×C₁₃	1	1	yes	characteristic
132	#2110	C₂×C₁₃	1	1	yes	characteristic, complemented
133	C₂³×C₁₃	—	4	1	no	—
134	C₂³×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
135	Q₈×C₁₃	—	2	2	no	—
136	Q₈×C₁₃	—	2	4	no	—
137	Q₈×C₁₃	—	4	2	no	—
138	Q₈×C₁₃	—	4	2	no	—
139	Q₈×C₁₃	—	4	2	no	—
140	Q₈×C₁₃	—	4	1	no	—
141	D₄×C₁₃	—	2	2	no	—
142	D₄×C₁₃	—	4	2	no	—
143	D₄×C₁₃	—	4	2	no	—
144	D₄×C₁₃	—	4	1	no	—
145	C₂×C₄×C₁₃	—	2	2	no	—
146	C₂×C₄×C₁₃	—	4	2	no	—
147	C₂×C₄×C₁₃	—	4	1	no	—
148	C₂×C₄×C₁₃	—	4	2	no	—
149	C₂×C₄×C₁₃	—	4	2	no	—
150	C₂×C₄×C₁₃	—	4	2	no	—
151	C₂×C₄×C₁₃	—	4	2	no	—
152	C₂×C₄×C₁₃	—	4	2	no	—
153	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
154	C₂×C₄×C₁₃	C₄×D₄	1	1	yes	characteristic
155	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
156	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
157	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
158	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
159	C₈×C₁₃	—	2	2	no	—
160	C₈×C₁₃	—	4	2	no	—
161	C₈×C₁₃	C₄×D₄	1	1	yes	characteristic
162	C₈×C₁₃	C₄×D₄	1	1	yes	characteristic
163	C₈×C₁₃	C₂³×C₄	1	1	yes	characteristic
164	C₈×C₁₃	C₂×#41	1	1	yes	characteristic
165	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
166	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
167	#568	—	2	1	no	—
168	#519	—	2	1	no	—
169	#510	C₄×C₁₃	1	4	yes	complemented
170	#510	C₂²×C₁₃	1	4	yes	—
171	C₂×Q₃₂	C₄×C₁₃	1	2	yes	complemented
172	C₂×SD₃₂	C₄×C₁₃	1	2	yes	complemented
173	C₂×M₃₂	C₂²×C₁₃	1	1	yes	characteristic
174	C₂×M₃₂	C₂²×C₁₃	1	1	yes	characteristic
175	#444	C₂²×C₁₃	1	4	yes	—
176	#443	—	2	2	no	—
177	#441	C₂²×C₁₃	1	4	yes	complemented
178	C₄×Q₁₆	—	2	2	no	—
179	C₂×#108	C₂²×C₁₃	1	1	yes	characteristic
180	#427	C₂²×C₁₃	1	1	yes	characteristic
181	#421	—	2	1	no	—
182	#419	—	2	1	no	—
183	#405	C₂²×C₁₃	1	1	yes	characteristic
184	#365	C₂²×C₁₃	1	4	yes	complemented
185	#362	C₂²×C₁₃	1	4	yes	complemented
186	#360	C₂²×C₁₃	1	4	yes	—
187	#347	C₂²×C₁₃	1	4	yes	complemented
188	C₂²×C₁₃	—	4	1	no	—
189	C₂²×C₁₃	—	4	2	no	—
190	C₂²×C₁₃	—	16	1	no	—
191	C₂²×C₁₃	#442	1	1	yes	characteristic
192	C₂²×C₁₃	#442	1	1	yes	characteristic
193	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
194	C₄×C₁₃	—	4	2	no	—
195	C₄×C₁₃	—	4	2	no	—
196	C₄×C₁₃	—	4	4	no	—
197	C₄×C₁₃	—	8	2	no	—
198	C₄×C₁₃	#442	1	1	yes	characteristic
199	C₄×C₁₃	#442	1	1	yes	characteristic
200	C₄×C₁₃	C₂×C₄×D₄	1	1	yes	characteristic
201	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
202	C₂×#41	—	2	1	no	—
203	C₂²×Q₈	—	2	1	no	—
204	#135	—	2	1	no	—
205	#135	—	2	1	no	—
206	#135	C₂×C₄×C₁₃	1	2	yes	—
207	#135	C₂³×C₁₃	1	2	yes	—
208	C₂×Q₁₆	—	2	1	no	—
209	C₂×Q₁₆	—	2	1	no	—
210	C₂×Q₁₆	—	2	1	no	—
211	C₂×Q₁₆	C₂×C₄×C₁₃	1	2	yes	—
212	C₂×Q₁₆	C₂×C₄×C₁₃	1	2	yes	—
213	C₂×Q₁₆	C₂×C₄×C₁₃	1	1	yes	characteristic
214	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
215	C₂×SD₁₆	—	2	1	no	—
216	C₂×D₈	C₂×C₄×C₁₃	1	1	yes	characteristic
217	#131	—	2	4	no	—
218	#131	—	4	2	no	—
219	C₂×M₁₆	—	2	1	no	—
220	C₂×M₁₆	—	4	2	no	—
221	C₂×M₁₆	D₄×C₁₃	1	1	yes	characteristic
222	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
223	C₄×Q₈	—	2	4	no	—
224	C₄×Q₈	—	4	2	no	—
225	#117	—	2	1	no	—
226	#117	—	4	2	no	—
227	#117	D₄×C₁₃	1	1	yes	characteristic
228	Q₃₂	C₂×C₄×C₁₃	1	8	yes	—
229	SD₃₂	C₂×C₄×C₁₃	1	8	yes	—
230	M₃₂	—	2	1	no	—
231	M₃₂	C₂×C₄×C₁₃	1	2	yes	—
232	M₃₂	C₂³×C₁₃	1	2	yes	—
233	M₃₂	C₂³×C₁₃	1	2	yes	—
234	C₂×C₁₆	—	2	1	no	—
235	C₂×C₁₆	C₂×C₄×C₁₃	1	2	yes	—
236	#108	—	2	1	no	—
237	#108	C₂³×C₁₃	1	2	yes	—
238	#107	—	2	1	no	—
239	#106	C₂³×C₁₃	1	2	yes	—
240	#104	—	2	4	no	—
241	#103	—	2	4	no	—
242	#97	C₂³×C₁₃	1	2	yes	—
243	C₄×C₈	D₄×C₁₃	1	2	yes	—
244	C₂×C₁₃	—	2	1	no	—
245	C₂×C₁₃	—	2	1	no	—
246	C₂×C₁₃	—	2	1	no	—
247	C₂×C₁₃	—	8	2	no	—
248	C₂×C₁₃	C₂×#442	1	1	yes	characteristic
249	#41	—	2	2	no	—
250	#41	—	2	2	no	—
251	#41	—	4	1	no	—
252	#41	—	4	1	no	—
253	C₂×Q₈	—	2	1	no	—
254	C₂×Q₈	—	2	2	no	—
255	C₂×Q₈	—	2	2	no	—
256	C₂×Q₈	—	2	2	no	—
257	C₂×Q₈	—	4	1	no	—
258	C₂×Q₈	—	4	1	no	—
259	C₂×Q₈	—	4	1	no	—
260	C₂×D₄	—	2	1	no	—
261	C₂×D₄	—	4	1	no	—
262	C₂²×C₄	—	4	1	no	—
263	C₂²×C₄	—	4	1	no	—
264	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
265	Q₁₆	—	2	2	no	—
266	Q₁₆	—	2	2	no	—
267	Q₁₆	—	2	1	no	—
268	Q₁₆	—	2	2	no	—
269	Q₁₆	C₂²×C₄×C₁₃	1	4	yes	—
270	Q₁₆	C₂²×C₄×C₁₃	1	2	yes	—
271	SD₁₆	—	2	2	no	—
272	SD₁₆	—	2	2	no	—
273	D₈	—	2	1	no	—
274	D₈	C₂²×C₄×C₁₃	1	2	yes	—
275	M₁₆	—	2	1	no	—
276	M₁₆	—	2	1	no	—
277	M₁₆	—	2	2	no	—
278	M₁₆	—	4	4	no	—
279	M₁₆	—	4	1	no	—
280	C₂×C₈	—	4	4	no	—
281	C₂×C₈	—	4	1	no	—
282	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
283	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
284	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
285	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
286	C₂×C₈	C₁₃×#41	1	1	yes	characteristic
287	C₂×C₈	C₁₃×#41	1	1	yes	characteristic
288	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
289	C₄⋊C₄	—	2	1	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	4	4	no	—
292	C₂²⋊C₄	—	2	1	no	—
293	C₂²⋊C₄	—	4	1	no	—
294	C₄²	—	4	4	no	—
295	C₄²	—	4	1	no	—
296	C₄²	C₂×D₄×C₁₃	1	2	yes	—
297	C₁₆	—	2	2	no	—
298	C₁₆	C₂²×C₄×C₁₃	1	4	yes	—
299	C₁₃	#33470	1	1	yes	characteristic, direct product factor, Sylow
300	C₂³	—	4	1	no	—
301	C₂³	C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
302	Q₈	—	2	2	no	—
303	Q₈	—	2	4	no	—
304	Q₈	—	4	2	no	—
305	Q₈	—	4	2	no	—
306	Q₈	—	4	1	no	—
307	Q₈	—	4	2	no	—
308	D₄	—	2	2	no	—
309	D₄	—	4	2	no	—
310	D₄	—	4	2	no	—
311	D₄	—	4	1	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	4	1	no	—
314	C₂×C₄	—	4	2	no	—
315	C₂×C₄	—	4	2	no	—
316	C₂×C₄	—	4	2	no	—
317	C₂×C₄	—	4	2	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	—	4	2	no	—
320	C₂×C₄	C₄×D₄×C₁₃	1	1	yes	characteristic
321	C₂×C₄	C₄×D₄×C₁₃	1	1	yes	characteristic
322	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
323	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
324	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
325	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
326	C₈	—	2	2	no	—
327	C₈	—	4	2	no	—
328	C₈	C₄×D₄×C₁₃	1	1	yes	characteristic
329	C₈	C₄×D₄×C₁₃	1	1	yes	characteristic
330	C₈	C₂³×C₄×C₁₃	1	1	yes	characteristic
331	C₈	C₂×C₁₃×#41	1	1	yes	characteristic
332	C₂²	—	4	1	no	—
333	C₂²	—	4	2	no	—
334	C₂²	—	16	1	no	—
335	C₂²	C₁₃×#442	1	1	yes	characteristic
336	C₂²	C₁₃×#442	1	1	yes	characteristic
337	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
338	C₄	—	4	2	no	—
339	C₄	—	4	2	no	—
340	C₄	—	4	4	no	—
341	C₄	—	8	2	no	—
342	C₄	C₁₃×#442	1	1	yes	characteristic
343	C₄	C₁₃×#442	1	1	yes	characteristic
344	C₄	C₂×C₄×D₄×C₁₃	1	1	yes	characteristic
345	C₄	C₂×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
346	C₂	—	2	1	no	—
347	C₂	—	2	1	no	—
348	C₂	—	2	1	no	—
349	C₂	—	8	2	no	—
350	C₂	C₂×C₁₃×#442	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂×C₁₃	C₂×#442
commutator	C₈	C₂³×C₄×C₁₃
Frattini, cosocle	C₂×C₈	C₂⁴×C₁₃
prime radical	C₂×C₁₃×#135	C₂²
LCS	G ▷ C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₁₃ ◁ C₂²×C₄×C₁₃ ◁ C₁₃×#405 ◁ G

Complements

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

N	H ≅ G/N	type
3. C₁₃×#2950	C₂	semidirect
4. C₁₃×#2180	C₂	semidirect
5. C₁₃×#2155	C₂	semidirect
6. C₂×C₁₃×#362	C₂	semidirect
8. C₁₃×#2110	C₂	semidirect
13. C₁₃×#510	C₄	semidirect
15. C₂×C₁₃×Q₃₂	C₄	semidirect
16. C₂×C₁₃×SD₃₂	C₄	semidirect
21. C₁₃×#441	C₂²	semidirect
28. C₁₃×#365	C₂²	semidirect
29. C₁₃×#362	C₂²	semidirect
31. C₁₃×#347	C₂²	semidirect
74. #33470	C₁₃	direct (N × H)
127. #2950	C₂×C₁₃	semidirect
128. #2180	C₂×C₁₃	semidirect
129. #2155	C₂×C₁₃	semidirect
130. C₂×#362	C₂×C₁₃	semidirect
132. #2110	C₂×C₁₃	semidirect
169. #510	C₄×C₁₃	semidirect
171. C₂×Q₃₂	C₄×C₁₃	semidirect
172. C₂×SD₃₂	C₄×C₁₃	semidirect
177. #441	C₂²×C₁₃	semidirect
184. #365	C₂²×C₁₃	semidirect
185. #362	C₂²×C₁₃	semidirect
187. #347	C₂²×C₁₃	semidirect
299. C₁₃	#33470	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×#510	2
C₁₃×#2957	2
C₁₃×#2950	2
C₁₃×#2180	2
C₁₃×#2155	2
C₂×C₁₃×#362	2
C₁₃×#2145	2
C₁₃×#2110	2
#33470	13

Subgroups — C13×#33470 #15719809

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33470 #15719809