Subgroups — C₁₃×#17371 #15703710

Order 3328.

1098 conjugacy classes of subgroups.

The subgroup lattice has 350 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#519	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#2983	C₂	1	2	yes	maximal, complemented
3	C₁₃×#1467	C₂	1	4	yes	maximal, complemented
4	C₁₃×#1464	C₂	1	4	yes	maximal
5	C₁₃×#1461	C₂	1	2	yes	maximal, complemented
6	C₁₃×#1458	C₂	1	2	yes	maximal
7	C₂³×Q₈×C₁₃	C₄	1	1	yes	characteristic
8	C₁₃×#519	—	2	8	no	—
9	C₂×C₄×Q₈×C₁₃	C₄	1	2	yes	—
10	C₂×C₄×Q₈×C₁₃	C₄	1	1	yes	characteristic
11	C₂×C₄×Q₈×C₁₃	C₄	1	1	yes	characteristic
12	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
13	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
14	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
15	C₂×C₁₃×#117	C₄	1	2	yes	—
16	C₂×C₁₃×#117	C₄	1	1	yes	characteristic
17	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#117	C₂²	1	2	yes	—
19	C₁₃×#446	—	2	8	no	—
20	C₁₃×#432	C₂²	1	8	yes	—
21	C₁₃×#431	C₂²	1	4	yes	—
22	C₁₃×#324	C₂²	1	4	yes	—
23	C₁₃×#324	C₂²	1	8	yes	—
24	C₁₃×#323	C₂²	1	4	yes	—
25	C₂²×Q₈×C₁₃	—	2	4	no	—
26	C₂²×Q₈×C₁₃	—	2	4	no	—
27	C₂²×Q₈×C₁₃	—	2	4	no	—
28	C₂²×Q₈×C₁₃	C₂×C₄	1	2	yes	—
29	C₂²×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
30	C₂²×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
31	C₂³×C₄×C₁₃	C₂×C₄	1	2	yes	—
32	C₂³×C₄×C₁₃	C₂×C₄	1	1	yes	characteristic
33	C₄×Q₈×C₁₃	—	2	4	no	—
34	C₄×Q₈×C₁₃	—	2	8	no	—
35	C₄×Q₈×C₁₃	—	2	4	no	—
36	C₄×Q₈×C₁₃	—	2	4	no	—
37	C₄×Q₈×C₁₃	—	2	8	no	—
38	C₄×Q₈×C₁₃	D₄	1	8	yes	—
39	C₁₃×#117	—	2	8	no	—
40	C₁₃×#117	—	2	4	no	—
41	C₁₃×#117	—	2	4	no	—
42	C₁₃×#117	—	2	8	no	—
43	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	2	yes	—
44	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
45	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
46	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	2	yes	—
47	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	2	yes	—
48	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
49	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
50	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
51	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
52	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	2	yes	—
53	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
54	C₂×C₄²×C₁₃	C₂×C₄	1	2	yes	—
55	C₂×C₄²×C₁₃	C₂×C₄	1	2	yes	—
56	C₂×C₄²×C₁₃	C₂×C₄	1	2	yes	—
57	C₂×C₄²×C₁₃	C₂×C₄	1	2	yes	—
58	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
59	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
60	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
61	C₁₃×C₄⋊C₈	—	2	4	no	—
62	C₁₃×C₄⋊C₈	—	2	8	no	—
63	C₁₃×C₂²⋊C₈	C₂³	1	8	yes	—
64	C₁₃×#97	—	2	8	no	—
65	C₄×C₈×C₁₃	—	2	4	no	—
66	#17371	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
67	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
68	C₂×Q₈×C₁₃	—	2	32	no	—
69	C₂×Q₈×C₁₃	—	2	4	no	—
70	C₂×Q₈×C₁₃	—	2	2	no	—
71	C₂×Q₈×C₁₃	—	2	4	no	—
72	C₂×Q₈×C₁₃	—	2	4	no	—
73	C₂×Q₈×C₁₃	—	2	2	no	—
74	C₂×Q₈×C₁₃	—	2	2	no	—
75	C₂×Q₈×C₁₃	—	2	2	no	—
76	C₂×Q₈×C₁₃	C₂²⋊C₄	1	4	yes	—
77	C₂×Q₈×C₁₃	M₁₆	1	4	yes	—
78	C₂²×C₄×C₁₃	—	2	4	no	—
79	C₂²×C₄×C₁₃	—	2	4	no	—
80	C₂²×C₄×C₁₃	—	2	2	no	—
81	C₂²×C₄×C₁₃	—	2	4	no	—
82	C₂²×C₄×C₁₃	—	2	2	no	—
83	C₂²×C₄×C₁₃	M₁₆	1	4	yes	—
84	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
85	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
86	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
88	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
90	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
91	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
92	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
93	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
94	C₂×C₈×C₁₃	—	2	8	no	—
95	C₁₃×C₄⋊C₄	—	2	2	no	—
96	C₁₃×C₄⋊C₄	—	2	4	no	—
97	C₁₃×C₄⋊C₄	—	2	4	no	—
98	C₁₃×C₄⋊C₄	—	2	2	no	—
99	C₁₃×C₄⋊C₄	—	2	2	no	—
100	C₁₃×C₄⋊C₄	—	2	4	no	—
101	C₁₃×C₄⋊C₄	C₂²⋊C₄	1	8	yes	—
102	C₁₃×C₄⋊C₄	C₂²⋊C₄	1	4	yes	—
103	C₁₃×C₂²⋊C₄	—	2	2	no	—
104	C₁₃×C₂²⋊C₄	—	2	4	no	—
105	C₁₃×C₂²⋊C₄	—	2	2	no	—
106	C₄²×C₁₃	—	2	4	no	—
107	C₄²×C₁₃	—	2	4	no	—
108	C₄²×C₁₃	—	2	4	no	—
109	C₄²×C₁₃	—	2	4	no	—
110	C₄²×C₁₃	—	2	2	no	—
111	C₄²×C₁₃	C₂×D₄	1	4	yes	—
112	C₄²×C₁₃	C₂×D₄	1	8	yes	—
113	C₂×#519	C₂×C₁₃	1	1	yes	characteristic
114	#2983	C₂×C₁₃	1	2	yes	complemented
115	#1467	C₂×C₁₃	1	4	yes	complemented
116	#1464	C₂×C₁₃	1	4	yes	—
117	#1461	C₂×C₁₃	1	2	yes	complemented
118	#1458	C₂×C₁₃	1	2	yes	—
119	C₂³×C₁₃	—	2	1	no	—
120	C₂³×C₁₃	—	2	1	no	—
121	C₂³×C₁₃	—	4	1	no	—
122	C₂³×C₁₃	—	4	1	no	—
123	C₂³×C₁₃	C₂×M₁₆	1	2	yes	—
124	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
125	Q₈×C₁₃	—	2	16	no	—
126	Q₈×C₁₃	—	2	8	no	—
127	Q₈×C₁₃	—	2	8	no	—
128	C₂×C₄×C₁₃	—	2	16	no	—
129	C₂×C₄×C₁₃	—	2	2	no	—
130	C₂×C₄×C₁₃	—	2	1	no	—
131	C₂×C₄×C₁₃	—	2	2	no	—
132	C₂×C₄×C₁₃	—	2	2	no	—
133	C₂×C₄×C₁₃	—	2	2	no	—
134	C₂×C₄×C₁₃	—	2	1	no	—
135	C₂×C₄×C₁₃	—	2	8	no	—
136	C₂×C₄×C₁₃	—	2	2	no	—
137	C₂×C₄×C₁₃	—	2	1	no	—
138	C₂×C₄×C₁₃	—	2	1	no	—
139	C₂×C₄×C₁₃	—	4	1	no	—
140	C₂×C₄×C₁₃	—	4	2	no	—
141	C₂×C₄×C₁₃	—	4	1	no	—
142	C₂×C₄×C₁₃	—	4	2	no	—
143	C₂×C₄×C₁₃	—	4	1	no	—
144	C₂×C₄×C₁₃	—	4	1	no	—
145	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	2	yes	—
146	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	4	yes	—
147	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	4	yes	—
148	C₂×C₄×C₁₃	C₂×C₂²⋊C₄	1	2	yes	—
149	C₂×C₄×C₁₃	C₂×M₁₆	1	4	yes	—
150	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
151	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
152	C₂×C₄×C₁₃	C₂×M₁₆	1	2	yes	—
153	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
154	C₈×C₁₃	—	4	8	no	—
155	C₂³×Q₈	C₄×C₁₃	1	1	yes	characteristic
156	#519	—	2	8	no	—
157	C₂×C₄×Q₈	C₄×C₁₃	1	2	yes	—
158	C₂×C₄×Q₈	C₄×C₁₃	1	1	yes	characteristic
159	C₂×C₄×Q₈	C₄×C₁₃	1	1	yes	characteristic
160	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
161	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
162	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
163	C₂×#117	C₄×C₁₃	1	2	yes	—
164	C₂×#117	C₄×C₁₃	1	1	yes	characteristic
165	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
166	C₂×#117	C₂²×C₁₃	1	2	yes	—
167	#446	—	2	8	no	—
168	#432	C₂²×C₁₃	1	8	yes	—
169	#431	C₂²×C₁₃	1	4	yes	—
170	#324	C₂²×C₁₃	1	4	yes	—
171	#324	C₂²×C₁₃	1	8	yes	—
172	#323	C₂²×C₁₃	1	4	yes	—
173	C₂²×C₁₃	—	2	1	no	—
174	C₂²×C₁₃	—	2	1	no	—
175	C₂²×C₁₃	—	2	2	no	—
176	C₂²×C₁₃	—	4	2	no	—
177	C₂²×C₁₃	—	4	2	no	—
178	C₂²×C₁₃	—	4	1	no	—
179	C₂²×C₁₃	—	4	1	no	—
180	C₂²×C₁₃	C₂²×C₂²⋊C₄	1	1	yes	characteristic
181	C₂²×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
182	C₂²×C₁₃	C₂²×M₁₆	1	1	yes	characteristic
183	C₄×C₁₃	—	2	4	no	—
184	C₄×C₁₃	—	2	4	no	—
185	C₄×C₁₃	—	2	2	no	—
186	C₄×C₁₃	—	2	2	no	—
187	C₄×C₁₃	—	2	2	no	—
188	C₄×C₁₃	—	2	4	no	—
189	C₄×C₁₃	—	4	2	no	—
190	C₄×C₁₃	—	4	1	no	—
191	C₄×C₁₃	—	4	1	no	—
192	C₄×C₁₃	#407	1	4	yes	—
193	C₂²×Q₈	—	2	4	no	—
194	C₂²×Q₈	—	2	4	no	—
195	C₂²×Q₈	—	2	4	no	—
196	C₂²×Q₈	C₂×C₄×C₁₃	1	2	yes	—
197	C₂²×Q₈	C₂×C₄×C₁₃	1	1	yes	characteristic
198	C₂²×Q₈	C₂×C₄×C₁₃	1	1	yes	characteristic
199	C₂³×C₄	C₂×C₄×C₁₃	1	2	yes	—
200	C₂³×C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
201	C₄×Q₈	—	2	4	no	—
202	C₄×Q₈	—	2	8	no	—
203	C₄×Q₈	—	2	4	no	—
204	C₄×Q₈	—	2	4	no	—
205	C₄×Q₈	—	2	8	no	—
206	C₄×Q₈	D₄×C₁₃	1	8	yes	—
207	#117	—	2	8	no	—
208	#117	—	2	4	no	—
209	#117	—	2	4	no	—
210	#117	—	2	8	no	—
211	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
212	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
213	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
214	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
215	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
216	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
217	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
218	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
219	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	1	yes	characteristic
220	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
221	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
222	C₂×C₄²	C₂×C₄×C₁₃	1	2	yes	—
223	C₂×C₄²	C₂×C₄×C₁₃	1	2	yes	—
224	C₂×C₄²	C₂×C₄×C₁₃	1	2	yes	—
225	C₂×C₄²	C₂×C₄×C₁₃	1	2	yes	—
226	C₂×C₄²	C₂×C₄×C₁₃	1	1	yes	characteristic
227	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
228	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
229	C₄⋊C₈	—	2	4	no	—
230	C₄⋊C₈	—	2	8	no	—
231	C₂²⋊C₈	C₂³×C₁₃	1	8	yes	—
232	#97	—	2	8	no	—
233	C₄×C₈	—	2	4	no	—
234	C₂×C₁₃	—	2	1	no	—
235	C₂×C₁₃	—	2	1	no	—
236	C₂×C₁₃	—	4	2	no	—
237	C₂×C₁₃	C₂×#407	1	1	yes	characteristic
238	C₂×C₁₃	#2884	1	1	yes	characteristic
239	C₂×C₁₃	#2889	1	1	yes	characteristic
240	C₂⁴	C₂²×C₄×C₁₃	1	1	yes	characteristic
241	C₂×Q₈	—	2	32	no	—
242	C₂×Q₈	—	2	4	no	—
243	C₂×Q₈	—	2	2	no	—
244	C₂×Q₈	—	2	4	no	—
245	C₂×Q₈	—	2	4	no	—
246	C₂×Q₈	—	2	2	no	—
247	C₂×Q₈	—	2	2	no	—
248	C₂×Q₈	—	2	2	no	—
249	C₂×Q₈	C₁₃×C₂²⋊C₄	1	4	yes	—
250	C₂×Q₈	C₁₃×M₁₆	1	4	yes	—
251	C₂²×C₄	—	2	4	no	—
252	C₂²×C₄	—	2	4	no	—
253	C₂²×C₄	—	2	2	no	—
254	C₂²×C₄	—	2	4	no	—
255	C₂²×C₄	—	2	2	no	—
256	C₂²×C₄	C₁₃×M₁₆	1	4	yes	—
257	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
258	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
259	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
260	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
261	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
262	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
263	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
264	C₂²×C₄	C₂²×C₄×C₁₃	1	2	yes	—
265	C₂²×C₄	C₂²×C₄×C₁₃	1	1	yes	characteristic
266	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
267	C₂×C₈	—	2	8	no	—
268	C₄⋊C₄	—	2	2	no	—
269	C₄⋊C₄	—	2	4	no	—
270	C₄⋊C₄	—	2	4	no	—
271	C₄⋊C₄	—	2	2	no	—
272	C₄⋊C₄	—	2	2	no	—
273	C₄⋊C₄	—	2	4	no	—
274	C₄⋊C₄	C₁₃×C₂²⋊C₄	1	8	yes	—
275	C₄⋊C₄	C₁₃×C₂²⋊C₄	1	4	yes	—
276	C₂²⋊C₄	—	2	2	no	—
277	C₂²⋊C₄	—	2	4	no	—
278	C₂²⋊C₄	—	2	2	no	—
279	C₄²	—	2	4	no	—
280	C₄²	—	2	4	no	—
281	C₄²	—	2	4	no	—
282	C₄²	—	2	4	no	—
283	C₄²	—	2	2	no	—
284	C₄²	C₂×D₄×C₁₃	1	4	yes	—
285	C₄²	C₂×D₄×C₁₃	1	8	yes	—
286	C₁₃	#17371	1	1	yes	characteristic, direct product factor, Sylow
287	C₂³	—	2	1	no	—
288	C₂³	—	2	1	no	—
289	C₂³	—	4	1	no	—
290	C₂³	—	4	1	no	—
291	C₂³	C₂×C₁₃×M₁₆	1	2	yes	—
292	C₂³	C₂³×C₄×C₁₃	1	1	yes	characteristic
293	Q₈	—	2	16	no	—
294	Q₈	—	2	8	no	—
295	Q₈	—	2	8	no	—
296	C₂×C₄	—	2	16	no	—
297	C₂×C₄	—	2	2	no	—
298	C₂×C₄	—	2	1	no	—
299	C₂×C₄	—	2	2	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	2	1	no	—
303	C₂×C₄	—	2	8	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	4	1	no	—
308	C₂×C₄	—	4	2	no	—
309	C₂×C₄	—	4	1	no	—
310	C₂×C₄	—	4	2	no	—
311	C₂×C₄	—	4	1	no	—
312	C₂×C₄	—	4	1	no	—
313	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	2	yes	—
314	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	4	yes	—
315	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	4	yes	—
316	C₂×C₄	C₂×C₁₃×C₂²⋊C₄	1	2	yes	—
317	C₂×C₄	C₂×C₁₃×M₁₆	1	4	yes	—
318	C₂×C₄	C₂×C₁₃×M₁₆	1	2	yes	—
319	C₂×C₄	C₂×C₁₃×M₁₆	1	2	yes	—
320	C₂×C₄	C₂×C₁₃×M₁₆	1	2	yes	—
321	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
322	C₈	—	4	8	no	—
323	C₂²	—	2	1	no	—
324	C₂²	—	2	1	no	—
325	C₂²	—	2	2	no	—
326	C₂²	—	4	2	no	—
327	C₂²	—	4	2	no	—
328	C₂²	—	4	1	no	—
329	C₂²	—	4	1	no	—
330	C₂²	C₂²×C₁₃×C₂²⋊C₄	1	1	yes	characteristic
331	C₂²	C₂²×C₁₃×M₁₆	1	1	yes	characteristic
332	C₂²	C₂²×C₁₃×M₁₆	1	1	yes	characteristic
333	C₄	—	2	4	no	—
334	C₄	—	2	4	no	—
335	C₄	—	2	2	no	—
336	C₄	—	2	2	no	—
337	C₄	—	2	2	no	—
338	C₄	—	2	4	no	—
339	C₄	—	4	2	no	—
340	C₄	—	4	1	no	—
341	C₄	—	4	1	no	—
342	C₄	C₁₃×#407	1	4	yes	—
343	C₂	—	2	1	no	—
344	C₂	—	2	1	no	—
345	C₂	—	4	2	no	—
346	C₂	C₂×C₁₃×#407	1	1	yes	characteristic
347	C₂	C₁₃×#2884	1	1	yes	characteristic
348	C₂	C₁₃×#2889	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂²×C₂²⋊C₄
commutator	C₂³	C₂³×C₄×C₁₃
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂⁴×C₁₃	C₂²×C₄
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₄×Q₈×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₃×#2983	C₂	semidirect
3. C₁₃×#1467	C₂	semidirect
5. C₁₃×#1461	C₂	semidirect
66. #17371	C₁₃	direct (N × H)
114. #2983	C₂×C₁₃	semidirect
115. #1467	C₂×C₁₃	semidirect
117. #1461	C₂×C₁₃	semidirect
286. C₁₃	#17371	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×#519	2
C₁₃×#2983	2
C₁₃×#1467	2
C₁₃×#1464	2
C₁₃×#1461	2
C₁₃×#1458	2
#17371	13

Subgroups — C13×#17371 #15703710

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#17371 #15703710