Subgroups — C₁₃×#21679 #15708018

Order 3328.

638 conjugacy classes of subgroups.

The subgroup lattice has 358 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2402	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#1940	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#1940	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#1916	C₂	1	2	yes	maximal
5	C₁₃×#1916	C₂	1	2	yes	maximal
6	C₁₃×#1832	C₂	1	1	yes	maximal, characteristic
7	C₁₃×#1771	C₂	1	2	yes	maximal
8	C₁₃×#1770	C₂	1	2	yes	maximal
9	C₁₃×#1770	C₂	1	1	yes	maximal, characteristic
10	C₈×C₁₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
11	C₁₃×#1726	C₂	1	1	yes	maximal, characteristic
12	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
15	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
16	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×#97	C₂²	1	2	yes	—
20	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
21	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
22	C₂×C₄×C₈×C₁₃	C₂²	1	2	yes	—
23	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
24	C₁₃×#400	C₄	1	2	yes	—
25	C₁₃×#400	C₄	1	2	yes	—
26	C₁₃×#398	C₄	1	2	yes	—
27	C₁₃×#398	C₄	1	2	yes	—
28	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
29	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
30	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
31	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
32	C₁₃×#376	C₂²	1	1	yes	characteristic
33	C₁₃×#336	C₂²	1	2	yes	—
34	C₁₃×#336	C₂²	1	2	yes	—
35	C₁₃×#336	C₂²	1	2	yes	—
36	C₁₃×#336	C₂²	1	2	yes	—
37	C₁₃×#336	C₂²	1	2	yes	—
38	C₁₃×#336	C₂²	1	2	yes	—
39	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
40	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
41	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
42	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
43	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
44	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
45	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	2	yes	—
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	2	yes	—
49	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	2	yes	—
50	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	2	yes	—
51	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
52	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
53	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
54	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
55	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
56	C₁₃×C₄⋊C₈	—	2	4	no	—
57	C₁₃×C₄⋊C₈	—	2	4	no	—
58	C₁₃×C₄⋊C₈	—	2	2	no	—
59	C₁₃×C₄⋊C₈	—	2	2	no	—
60	C₁₃×#97	—	2	2	no	—
61	C₁₃×#97	—	2	2	no	—
62	C₁₃×#97	—	2	4	no	—
63	C₁₃×#97	—	2	2	no	—
64	C₄×C₈×C₁₃	—	2	2	no	—
65	C₄×C₈×C₁₃	—	2	2	no	—
66	C₄×C₈×C₁₃	—	2	4	no	—
67	C₄×C₈×C₁₃	Q₈	1	4	yes	—
68	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
69	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
70	C₁₃×#95	C₂×C₄	1	2	yes	—
71	C₁₃×#95	C₂×C₄	1	2	yes	—
72	C₁₃×#95	C₂×C₄	1	2	yes	—
73	C₁₃×#95	C₂×C₄	1	2	yes	—
74	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
75	C₁₃×#95	C₂×C₄	1	1	yes	characteristic
76	C₁₃×#95	C₂×C₄	1	2	yes	—
77	C₁₃×#95	C₂×C₄	1	2	yes	—
78	#21679	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
79	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
80	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
81	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
82	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
83	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
84	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
85	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
86	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
87	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
88	C₂×C₈×C₁₃	—	2	1	no	—
89	C₂×C₈×C₁₃	—	2	1	no	—
90	C₂×C₈×C₁₃	—	2	1	no	—
91	C₂×C₈×C₁₃	—	2	1	no	—
92	C₂×C₈×C₁₃	—	2	1	no	—
93	C₂×C₈×C₁₃	—	2	1	no	—
94	C₂×C₈×C₁₃	—	2	2	no	—
95	C₂×C₈×C₁₃	—	2	2	no	—
96	C₂×C₈×C₁₃	—	2	2	no	—
97	C₂×C₈×C₁₃	—	2	2	no	—
98	C₂×C₈×C₁₃	—	2	2	no	—
99	C₂×C₈×C₁₃	—	2	2	no	—
100	C₂×C₈×C₁₃	C₂×Q₈	1	2	yes	—
101	C₂×C₈×C₁₃	C₂×Q₈	1	2	yes	—
102	C₂×C₈×C₁₃	#41	1	2	yes	—
103	C₂×C₈×C₁₃	#41	1	2	yes	—
104	C₂×C₈×C₁₃	#41	1	2	yes	—
105	C₂×C₈×C₁₃	#41	1	2	yes	—
106	C₁₃×C₄⋊C₄	—	2	4	no	—
107	C₁₃×C₄⋊C₄	—	2	4	no	—
108	C₁₃×C₄⋊C₄	—	2	4	no	—
109	C₁₃×C₄⋊C₄	—	4	2	no	—
110	C₁₃×C₄⋊C₄	—	4	2	no	—
111	C₁₃×C₄⋊C₄	—	4	2	no	—
112	C₄²×C₁₃	—	2	2	no	—
113	C₄²×C₁₃	—	2	1	no	—
114	C₄²×C₁₃	—	2	1	no	—
115	C₄²×C₁₃	—	2	2	no	—
116	C₄²×C₁₃	—	2	1	no	—
117	C₄²×C₁₃	—	2	1	no	—
118	C₄²×C₁₃	—	2	2	no	—
119	C₄²×C₁₃	—	2	2	no	—
120	C₄²×C₁₃	C₂×Q₈	1	2	yes	—
121	C₄²×C₁₃	#41	1	2	yes	—
122	#2402	C₂×C₁₃	1	1	yes	characteristic
123	#1940	C₂×C₁₃	1	1	yes	characteristic
124	#1940	C₂×C₁₃	1	1	yes	characteristic
125	#1916	C₂×C₁₃	1	2	yes	—
126	#1916	C₂×C₁₃	1	2	yes	—
127	#1832	C₂×C₁₃	1	1	yes	characteristic
128	#1771	C₂×C₁₃	1	2	yes	—
129	#1770	C₂×C₁₃	1	2	yes	—
130	#1770	C₂×C₁₃	1	1	yes	characteristic
131	C₈×C₄⋊C₄	C₂×C₁₃	1	1	yes	characteristic
132	#1726	C₂×C₁₃	1	1	yes	characteristic
133	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
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	—	2	2	no	—
139	C₂×C₄×C₁₃	—	2	2	no	—
140	C₂×C₄×C₁₃	—	2	2	no	—
141	C₂×C₄×C₁₃	—	2	2	no	—
142	C₂×C₄×C₁₃	—	2	2	no	—
143	C₂×C₄×C₁₃	—	2	2	no	—
144	C₂×C₄×C₁₃	—	2	2	no	—
145	C₂×C₄×C₁₃	—	2	2	no	—
146	C₂×C₄×C₁₃	—	2	2	no	—
147	C₂×C₄×C₁₃	—	2	2	no	—
148	C₂×C₄×C₁₃	—	2	2	no	—
149	C₂×C₄×C₁₃	—	2	2	no	—
150	C₂×C₄×C₁₃	—	2	2	no	—
151	C₂×C₄×C₁₃	—	2	2	no	—
152	C₂×C₄×C₁₃	—	2	2	no	—
153	C₂×C₄×C₁₃	C₄×Q₈	1	2	yes	—
154	C₂×C₄×C₁₃	C₄×Q₈	1	2	yes	—
155	C₂×C₄×C₁₃	#131	1	4	yes	—
156	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
157	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
158	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
159	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
160	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
161	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
162	C₈×C₁₃	—	2	2	no	—
163	C₈×C₁₃	—	2	2	no	—
164	C₈×C₁₃	—	2	2	no	—
165	C₈×C₁₃	—	4	2	no	—
166	C₈×C₁₃	—	4	2	no	—
167	C₈×C₁₃	#125	1	4	yes	—
168	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
169	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
170	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
171	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
172	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
173	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
174	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
175	C₂×#97	C₂²×C₁₃	1	2	yes	—
176	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
177	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
178	C₂×C₄×C₈	C₂²×C₁₃	1	2	yes	—
179	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
180	#400	C₄×C₁₃	1	2	yes	—
181	#400	C₄×C₁₃	1	2	yes	—
182	#398	C₄×C₁₃	1	2	yes	—
183	#398	C₄×C₁₃	1	2	yes	—
184	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
185	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
186	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
187	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
188	#376	C₂²×C₁₃	1	1	yes	characteristic
189	#336	C₂²×C₁₃	1	2	yes	—
190	#336	C₂²×C₁₃	1	2	yes	—
191	#336	C₂²×C₁₃	1	2	yes	—
192	#336	C₂²×C₁₃	1	2	yes	—
193	#336	C₂²×C₁₃	1	2	yes	—
194	#336	C₂²×C₁₃	1	2	yes	—
195	C₂²×C₁₃	C₂×C₄×Q₈	1	1	yes	characteristic
196	C₂²×C₁₃	C₄×#41	1	1	yes	characteristic
197	C₂²×C₁₃	C₄×#41	1	1	yes	characteristic
198	C₂²×C₁₃	C₂×#131	1	2	yes	—
199	C₂²×C₁₃	#568	1	2	yes	—
200	C₄×C₁₃	—	2	2	no	—
201	C₄×C₁₃	—	2	2	no	—
202	C₄×C₁₃	—	2	4	no	—
203	C₄×C₁₃	—	4	2	no	—
204	C₄×C₁₃	—	4	2	no	—
205	C₄×C₁₃	—	4	2	no	—
206	C₄×C₁₃	—	4	2	no	—
207	C₄×C₁₃	—	4	2	no	—
208	C₄×C₁₃	C₂×#125	1	1	yes	characteristic
209	C₄×C₁₃	#529	1	1	yes	characteristic
210	C₄×C₁₃	#529	1	1	yes	characteristic
211	C₄×C₁₃	#533	1	1	yes	characteristic
212	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
213	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
214	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
215	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
216	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
217	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
218	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
219	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
220	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
221	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
222	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
223	C₂×C₄⋊C₄	C₂×C₄×C₁₃	1	2	yes	—
224	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
225	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
226	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
227	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
228	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
229	C₄⋊C₈	—	2	4	no	—
230	C₄⋊C₈	—	2	4	no	—
231	C₄⋊C₈	—	2	2	no	—
232	C₄⋊C₈	—	2	2	no	—
233	#97	—	2	2	no	—
234	#97	—	2	2	no	—
235	#97	—	2	4	no	—
236	#97	—	2	2	no	—
237	C₄×C₈	—	2	2	no	—
238	C₄×C₈	—	2	2	no	—
239	C₄×C₈	—	2	4	no	—
240	C₄×C₈	Q₈×C₁₃	1	4	yes	—
241	#95	C₂×C₄×C₁₃	1	2	yes	—
242	#95	C₂×C₄×C₁₃	1	2	yes	—
243	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
244	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
245	#95	C₂×C₄×C₁₃	1	2	yes	—
246	#95	C₂×C₄×C₁₃	1	2	yes	—
247	#95	C₂×C₄×C₁₃	1	2	yes	—
248	#95	C₂×C₄×C₁₃	1	2	yes	—
249	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
250	#95	C₂×C₄×C₁₃	1	1	yes	characteristic
251	C₂×C₁₃	C₄×#125	1	1	yes	characteristic
252	C₂×C₁₃	#2960	1	1	yes	characteristic
253	C₂×C₁₃	#2961	1	1	yes	characteristic
254	C₂×C₁₃	#2968	1	2	yes	—
255	C₂×C₁₃	#2969	1	2	yes	—
256	C₂²×C₄	C₂²×C₄×C₁₃	1	2	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	2	yes	—
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	2	yes	—
264	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
265	C₂×C₈	—	2	1	no	—
266	C₂×C₈	—	2	1	no	—
267	C₂×C₈	—	2	1	no	—
268	C₂×C₈	—	2	1	no	—
269	C₂×C₈	—	2	1	no	—
270	C₂×C₈	—	2	1	no	—
271	C₂×C₈	—	2	2	no	—
272	C₂×C₈	—	2	2	no	—
273	C₂×C₈	—	2	2	no	—
274	C₂×C₈	—	2	2	no	—
275	C₂×C₈	—	2	2	no	—
276	C₂×C₈	—	2	2	no	—
277	C₂×C₈	C₂×Q₈×C₁₃	1	2	yes	—
278	C₂×C₈	C₂×Q₈×C₁₃	1	2	yes	—
279	C₂×C₈	C₁₃×#41	1	2	yes	—
280	C₂×C₈	C₁₃×#41	1	2	yes	—
281	C₂×C₈	C₁₃×#41	1	2	yes	—
282	C₂×C₈	C₁₃×#41	1	2	yes	—
283	C₄⋊C₄	—	2	4	no	—
284	C₄⋊C₄	—	2	4	no	—
285	C₄⋊C₄	—	2	4	no	—
286	C₄⋊C₄	—	4	2	no	—
287	C₄⋊C₄	—	4	2	no	—
288	C₄⋊C₄	—	4	2	no	—
289	C₄²	—	2	2	no	—
290	C₄²	—	2	1	no	—
291	C₄²	—	2	1	no	—
292	C₄²	—	2	1	no	—
293	C₄²	—	2	1	no	—
294	C₄²	—	2	2	no	—
295	C₄²	—	2	2	no	—
296	C₄²	—	2	2	no	—
297	C₄²	C₂×Q₈×C₁₃	1	2	yes	—
298	C₄²	C₁₃×#41	1	2	yes	—
299	C₁₃	#21679	1	1	yes	characteristic, direct product factor, Sylow
300	C₂³	C₂³×C₄×C₁₃	1	1	yes	characteristic
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	2	2	no	—
309	C₂×C₄	—	2	2	no	—
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	2	2	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	2	2	no	—
316	C₂×C₄	—	2	2	no	—
317	C₂×C₄	—	2	2	no	—
318	C₂×C₄	—	2	2	no	—
319	C₂×C₄	—	2	2	no	—
320	C₂×C₄	C₄×Q₈×C₁₃	1	2	yes	—
321	C₂×C₄	C₄×Q₈×C₁₃	1	2	yes	—
322	C₂×C₄	C₁₃×#131	1	4	yes	—
323	C₂×C₄	C₂²×Q₈×C₁₃	1	1	yes	characteristic
324	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
325	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
326	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
327	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
328	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
329	C₈	—	2	2	no	—
330	C₈	—	2	2	no	—
331	C₈	—	2	2	no	—
332	C₈	—	4	2	no	—
333	C₈	—	4	2	no	—
334	C₈	C₁₃×#125	1	4	yes	—
335	C₂²	C₂×C₄×Q₈×C₁₃	1	1	yes	characteristic
336	C₂²	C₄×C₁₃×#41	1	1	yes	characteristic
337	C₂²	C₄×C₁₃×#41	1	1	yes	characteristic
338	C₂²	C₂×C₁₃×#131	1	2	yes	—
339	C₂²	C₁₃×#568	1	2	yes	—
340	C₄	—	2	2	no	—
341	C₄	—	2	2	no	—
342	C₄	—	2	4	no	—
343	C₄	—	4	2	no	—
344	C₄	—	4	2	no	—
345	C₄	—	4	2	no	—
346	C₄	—	4	2	no	—
347	C₄	—	4	2	no	—
348	C₄	C₂×C₁₃×#125	1	1	yes	characteristic
349	C₄	C₁₃×#529	1	1	yes	characteristic
350	C₄	C₁₃×#529	1	1	yes	characteristic
351	C₄	C₁₃×#533	1	1	yes	characteristic
352	C₂	C₄×C₁₃×#125	1	1	yes	characteristic
353	C₂	C₁₃×#2960	1	1	yes	characteristic
354	C₂	C₁₃×#2961	1	1	yes	characteristic
355	C₂	C₁₃×#2968	1	2	yes	—
356	C₂	C₁₃×#2969	1	2	yes	—

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

Complements

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

N	H ≅ G/N	type
78. #21679	C₁₃	direct (N × H)
299. C₁₃	#21679	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×#2402	2
C₁₃×#1940	2
C₁₃×#1916	2
C₁₃×#1832	2
C₁₃×#1771	2
C₁₃×#1770	2
C₈×C₁₃×C₄⋊C₄	2
C₁₃×#1726	2
#21679	13

Subgroups — C13×#21679 #15708018

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#21679 #15708018