Subgroups — C₁₃×#33482 #15719821

Order 3328.

518 conjugacy classes of subgroups.

The subgroup lattice has 320 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2183	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2168	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2168	C₂	1	2	yes	maximal, complemented
5	D₄×C₁₃×C₁₆	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2164	C₂	1	2	yes	maximal, complemented
7	C₁₃×#2162	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2108	C₂	1	2	yes	maximal, complemented
9	C₂×C₁₃×#346	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#529	C₄	1	1	yes	characteristic
11	C₂×C₁₃×M₃₂	C₂²	1	2	yes	—
12	C₂²×C₁₃×C₁₆	C₂²	1	2	yes	—
13	C₂²×C₁₃×C₁₆	C₂²	1	2	yes	—
14	C₁₃×#446	C₄	1	1	yes	characteristic
15	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
16	C₁₃×#436	C₄	1	1	yes	characteristic
17	C₁₃×#435	C₄	1	2	yes	—
18	C₈×D₄×C₁₃	C₂²	1	2	yes	—
19	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
20	C₁₃×#433	C₄	1	2	yes	—
21	C₁₃×#432	C₄	1	1	yes	characteristic
22	C₁₃×#405	C₂²	1	2	yes	—
23	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
24	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
25	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
26	C₁₃×C₄⋊C₁₆	C₂²	1	2	yes	—
27	C₁₃×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic
28	C₁₃×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic
29	C₁₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
30	C₁₃×C₂²⋊C₁₆	C₂²	1	2	yes	—
31	C₁₃×#346	C₂²	1	1	yes	characteristic
32	C₁₃×#346	C₂²	1	1	yes	characteristic
33	C₁₃×#346	C₂²	1	2	yes	—
34	C₁₃×#346	C₂²	1	2	yes	—
35	C₄×C₁₃×C₁₆	C₂²	1	2	yes	—
36	C₄×C₁₃×C₁₆	C₂²	1	2	yes	—
37	C₂×C₁₃×M₁₆	C₂×C₄	1	2	yes	—
38	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
39	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
40	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
41	C₁₃×#126	C₈	1	2	yes	—
42	C₁₃×#125	C₈	1	1	yes	characteristic
43	C₁₃×#124	C₈	1	1	yes	characteristic
44	C₁₃×#123	C₈	1	2	yes	—
45	C₁₃×C₂²⋊Q₈	C₈	1	1	yes	characteristic
46	C₁₃×#121	C₈	1	1	yes	characteristic
47	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
48	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
49	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
50	C₁₃×#117	C₂×C₄	1	2	yes	—
51	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
52	C₁₃×M₃₂	—	2	4	no	—
53	C₂×C₁₃×C₁₆	—	2	4	no	—
54	C₂×C₁₃×C₁₆	—	2	4	no	—
55	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
56	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
57	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
58	C₂×C₁₃×C₁₆	C₂³	1	2	yes	—
59	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
60	C₁₃×C₄⋊C₈	C₂×C₄	1	1	yes	characteristic
61	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
62	C₁₃×C₄⋊C₈	C₂×C₄	1	2	yes	—
63	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
64	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
65	C₁₃×C₂²⋊C₈	C₂×C₄	1	2	yes	—
66	C₁₃×#97	C₂×C₄	1	2	yes	—
67	C₁₃×#97	C₂×C₄	1	2	yes	—
68	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
69	C₄×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
70	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
71	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
72	C₄×C₈×C₁₃	C₂³	1	2	yes	—
73	#33482	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
74	C₂×Q₈×C₁₃	C₂×C₈	1	1	yes	characteristic
75	C₂×D₄×C₁₃	C₂×C₈	1	2	yes	—
76	C₂×D₄×C₁₃	C₂×C₈	1	1	yes	characteristic
77	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
78	C₂²×C₄×C₁₃	C₂×C₈	1	1	yes	characteristic
79	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
80	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
81	C₁₃×M₁₆	—	2	4	no	—
82	C₂×C₈×C₁₃	—	2	2	no	—
83	C₂×C₈×C₁₃	—	2	2	no	—
84	C₂×C₈×C₁₃	—	2	2	no	—
85	C₂×C₈×C₁₃	—	2	2	no	—
86	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
87	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
88	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
89	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
90	C₂×C₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
91	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
92	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
93	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
94	C₁₃×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
95	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
96	C₁₃×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
97	C₁₃×C₄⋊C₄	C₂×C₈	1	2	yes	—
98	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
99	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
100	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
101	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
102	C₁₃×C₂²⋊C₄	C₂×C₈	1	2	yes	—
103	C₄²×C₁₃	C₂×C₈	1	1	yes	characteristic
104	C₄²×C₁₃	C₂×C₈	1	1	yes	characteristic
105	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
106	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
107	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
108	C₁₃×C₁₆	—	2	2	no	—
109	C₁₃×C₁₆	—	2	2	no	—
110	C₁₃×C₁₆	—	2	2	no	—
111	C₁₃×C₁₆	#41	1	4	yes	—
112	#2966	C₂×C₁₃	1	1	yes	characteristic
113	#2183	C₂×C₁₃	1	2	yes	complemented
114	#2168	C₂×C₁₃	1	2	yes	complemented
115	#2168	C₂×C₁₃	1	2	yes	complemented
116	D₄×C₁₆	C₂×C₁₃	1	2	yes	complemented
117	#2164	C₂×C₁₃	1	2	yes	complemented
118	#2162	C₂×C₁₃	1	1	yes	characteristic, complemented
119	#2108	C₂×C₁₃	1	2	yes	complemented
120	C₂×#346	C₂×C₁₃	1	1	yes	characteristic, complemented
121	C₂³×C₁₃	C₂²×C₈	1	2	yes	—
122	C₂³×C₁₃	C₂²×C₈	1	1	yes	characteristic
123	Q₈×C₁₃	—	4	1	no	—
124	D₄×C₁₃	—	2	4	no	—
125	D₄×C₁₃	—	4	1	no	—
126	C₂×C₄×C₁₃	—	2	2	no	—
127	C₂×C₄×C₁₃	—	2	1	no	—
128	C₂×C₄×C₁₃	—	2	2	no	—
129	C₂×C₄×C₁₃	—	2	1	no	—
130	C₂×C₄×C₁₃	—	2	2	no	—
131	C₂×C₄×C₁₃	—	4	1	no	—
132	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
133	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
134	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
135	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
136	C₂×C₄×C₁₃	C₂²×C₈	1	1	yes	characteristic
137	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
138	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
139	C₂×C₄×C₁₃	C₂²×C₈	1	2	yes	—
140	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
141	C₈×C₁₃	—	2	1	no	—
142	C₈×C₁₃	—	2	2	no	—
143	C₈×C₁₃	—	2	1	no	—
144	C₈×C₁₃	—	2	2	no	—
145	C₈×C₁₃	#131	1	2	yes	—
146	C₈×C₁₃	C₂×#41	1	2	yes	—
147	#529	C₄×C₁₃	1	1	yes	characteristic
148	C₂×M₃₂	C₂²×C₁₃	1	2	yes	—
149	C₂²×C₁₆	C₂²×C₁₃	1	2	yes	—
150	C₂²×C₁₆	C₂²×C₁₃	1	2	yes	—
151	#446	C₄×C₁₃	1	1	yes	characteristic
152	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
153	#436	C₄×C₁₃	1	1	yes	characteristic
154	#435	C₄×C₁₃	1	2	yes	—
155	C₈×D₄	C₂²×C₁₃	1	2	yes	—
156	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
157	#433	C₄×C₁₃	1	2	yes	—
158	#432	C₄×C₁₃	1	1	yes	characteristic
159	#405	C₂²×C₁₃	1	2	yes	—
160	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
161	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
162	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
163	C₄⋊C₁₆	C₂²×C₁₃	1	2	yes	—
164	C₂²⋊C₁₆	C₂²×C₁₃	1	1	yes	characteristic
165	C₂²⋊C₁₆	C₂²×C₁₃	1	1	yes	characteristic
166	C₂²⋊C₁₆	C₂²×C₁₃	1	2	yes	—
167	C₂²⋊C₁₆	C₂²×C₁₃	1	2	yes	—
168	#346	C₂²×C₁₃	1	1	yes	characteristic
169	#346	C₂²×C₁₃	1	1	yes	characteristic
170	#346	C₂²×C₁₃	1	2	yes	—
171	#346	C₂²×C₁₃	1	2	yes	—
172	C₄×C₁₆	C₂²×C₁₃	1	2	yes	—
173	C₄×C₁₆	C₂²×C₁₃	1	2	yes	—
174	C₂²×C₁₃	—	2	1	no	—
175	C₂²×C₁₃	—	2	1	no	—
176	C₂²×C₁₃	—	2	2	no	—
177	C₂²×C₁₃	—	2	2	no	—
178	C₂²×C₁₃	—	2	2	no	—
179	C₂²×C₁₃	#504	1	2	yes	—
180	C₂²×C₁₃	C₂³×C₈	1	1	yes	characteristic
181	C₄×C₁₃	—	2	1	no	—
182	C₄×C₁₃	—	2	1	no	—
183	C₄×C₁₃	—	2	2	no	—
184	C₄×C₁₃	—	2	1	no	—
185	C₄×C₁₃	—	2	1	no	—
186	C₄×C₁₃	—	2	2	no	—
187	C₄×C₁₃	—	2	1	no	—
188	C₄×C₁₃	—	2	2	no	—
189	C₄×C₁₃	C₄×#41	1	1	yes	characteristic
190	C₄×C₁₃	C₂×#131	1	1	yes	characteristic
191	C₂×M₁₆	C₂×C₄×C₁₃	1	2	yes	—
192	C₂²×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
193	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
194	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
195	#126	C₈×C₁₃	1	2	yes	—
196	#125	C₈×C₁₃	1	1	yes	characteristic
197	#124	C₈×C₁₃	1	1	yes	characteristic
198	#123	C₈×C₁₃	1	2	yes	—
199	C₂²⋊Q₈	C₈×C₁₃	1	1	yes	characteristic
200	#121	C₈×C₁₃	1	1	yes	characteristic
201	C₄×Q₈	C₂×C₄×C₁₃	1	1	yes	characteristic
202	C₄×D₄	C₂×C₄×C₁₃	1	2	yes	—
203	C₄×D₄	C₂×C₄×C₁₃	1	1	yes	characteristic
204	#117	C₂×C₄×C₁₃	1	2	yes	—
205	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
206	M₃₂	—	2	4	no	—
207	C₂×C₁₆	—	2	4	no	—
208	C₂×C₁₆	—	2	4	no	—
209	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
210	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
211	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
212	C₂×C₁₆	C₂³×C₁₃	1	2	yes	—
213	C₄⋊C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
214	C₄⋊C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
215	C₄⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
216	C₄⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
217	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
218	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
219	C₂²⋊C₈	C₂×C₄×C₁₃	1	2	yes	—
220	#97	C₂×C₄×C₁₃	1	2	yes	—
221	#97	C₂×C₄×C₁₃	1	2	yes	—
222	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
223	C₄×C₈	C₂×C₄×C₁₃	1	1	yes	characteristic
224	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
225	C₄×C₈	C₂³×C₁₃	1	2	yes	—
226	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
227	C₂×C₁₃	—	2	2	no	—
228	C₂×C₁₃	—	4	2	no	—
229	C₂×C₁₃	C₈×#41	1	1	yes	characteristic
230	C₂×C₁₃	C₂×#504	1	1	yes	characteristic
231	C₂×C₁₃	#3407	1	1	yes	characteristic
232	C₂×Q₈	C₂×C₈×C₁₃	1	1	yes	characteristic
233	C₂×D₄	C₂×C₈×C₁₃	1	2	yes	—
234	C₂×D₄	C₂×C₈×C₁₃	1	1	yes	characteristic
235	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
236	C₂²×C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
237	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
238	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
239	M₁₆	—	2	4	no	—
240	C₂×C₈	—	2	2	no	—
241	C₂×C₈	—	2	2	no	—
242	C₂×C₈	—	2	2	no	—
243	C₂×C₈	—	2	2	no	—
244	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
245	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
246	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
247	C₂×C₈	C₂²×C₄×C₁₃	1	2	yes	—
248	C₂×C₈	C₂²×C₄×C₁₃	1	1	yes	characteristic
249	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
250	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
251	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
252	C₄⋊C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
253	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
254	C₄⋊C₄	C₂×C₈×C₁₃	1	1	yes	characteristic
255	C₄⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
256	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
257	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
258	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
259	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
260	C₂²⋊C₄	C₂×C₈×C₁₃	1	2	yes	—
261	C₄²	C₂×C₈×C₁₃	1	1	yes	characteristic
262	C₄²	C₂×C₈×C₁₃	1	1	yes	characteristic
263	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
264	C₄²	C₂²×C₄×C₁₃	1	1	yes	characteristic
265	C₄²	C₂²×C₄×C₁₃	1	2	yes	—
266	C₁₆	—	2	2	no	—
267	C₁₆	—	2	2	no	—
268	C₁₆	—	2	2	no	—
269	C₁₆	C₁₃×#41	1	4	yes	—
270	C₁₃	#33482	1	1	yes	characteristic, direct product factor, Sylow
271	C₂³	C₂²×C₈×C₁₃	1	2	yes	—
272	C₂³	C₂²×C₈×C₁₃	1	1	yes	characteristic
273	Q₈	—	4	1	no	—
274	D₄	—	2	4	no	—
275	D₄	—	4	1	no	—
276	C₂×C₄	—	2	2	no	—
277	C₂×C₄	—	2	1	no	—
278	C₂×C₄	—	2	2	no	—
279	C₂×C₄	—	2	1	no	—
280	C₂×C₄	—	2	2	no	—
281	C₂×C₄	—	4	1	no	—
282	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
283	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
284	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
285	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
286	C₂×C₄	C₂²×C₈×C₁₃	1	1	yes	characteristic
287	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
288	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
289	C₂×C₄	C₂²×C₈×C₁₃	1	2	yes	—
290	C₂×C₄	C₂³×C₄×C₁₃	1	1	yes	characteristic
291	C₈	—	2	1	no	—
292	C₈	—	2	2	no	—
293	C₈	—	2	1	no	—
294	C₈	—	2	2	no	—
295	C₈	C₁₃×#131	1	2	yes	—
296	C₈	C₂×C₁₃×#41	1	2	yes	—
297	C₂²	—	2	1	no	—
298	C₂²	—	2	1	no	—
299	C₂²	—	2	2	no	—
300	C₂²	—	2	2	no	—
301	C₂²	—	2	2	no	—
302	C₂²	C₁₃×#504	1	2	yes	—
303	C₂²	C₂³×C₈×C₁₃	1	1	yes	characteristic
304	C₄	—	2	1	no	—
305	C₄	—	2	1	no	—
306	C₄	—	2	2	no	—
307	C₄	—	2	1	no	—
308	C₄	—	2	1	no	—
309	C₄	—	2	2	no	—
310	C₄	—	2	1	no	—
311	C₄	—	2	2	no	—
312	C₄	C₄×C₁₃×#41	1	1	yes	characteristic
313	C₄	C₂×C₁₃×#131	1	1	yes	characteristic
314	C₂	—	2	2	no	—
315	C₂	—	4	2	no	—
316	C₂	C₈×C₁₃×#41	1	1	yes	characteristic
317	C₂	C₂×C₁₃×#504	1	1	yes	characteristic
318	C₂	C₁₃×#3407	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈×C₁₃	C₂⁴
commutator	C₂²	C₂³×C₈×C₁₃
Frattini, cosocle	C₂×C₈	C₂⁴×C₁₃
socle	C₂²×C₁₃	C₂³×C₈
prime radical	C₁₃×#121	C₈
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂×C₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2183	C₂	semidirect
3. C₁₃×#2168	C₂	semidirect
4. C₁₃×#2168	C₂	semidirect
5. D₄×C₁₃×C₁₆	C₂	semidirect
6. C₁₃×#2164	C₂	semidirect
7. C₁₃×#2162	C₂	semidirect
8. C₁₃×#2108	C₂	semidirect
9. C₂×C₁₃×#346	C₂	semidirect
73. #33482	C₁₃	direct (N × H)
113. #2183	C₂×C₁₃	semidirect
114. #2168	C₂×C₁₃	semidirect
115. #2168	C₂×C₁₃	semidirect
116. D₄×C₁₆	C₂×C₁₃	semidirect
117. #2164	C₂×C₁₃	semidirect
118. #2162	C₂×C₁₃	semidirect
119. #2108	C₂×C₁₃	semidirect
120. C₂×#346	C₂×C₁₃	semidirect
270. C₁₃	#33482	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×#2966	2
C₁₃×#2183	2
C₁₃×#2168	2
D₄×C₁₃×C₁₆	2
C₁₃×#2164	2
C₁₃×#2162	2
C₁₃×#2108	2
C₂×C₁₃×#346	2
#33482	13

Subgroups — C13×#33482 #15719821

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#33482 #15719821