Subgroups — C₁₃×#10599 #15696938

Order 3328.

454 conjugacy classes of subgroups.

The subgroup lattice has 392 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#1982	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#1957	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#1948	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#1939	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₃×#335	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×#331	C₂	1	1	yes	maximal, characteristic
7	C₁₃×#1296	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
9	C₂×C₁₃×#106	—	2	1	no	—
10	C₂×C₁₃×C₄⋊C₈	—	2	1	no	—
11	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
12	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₁₃×#102	—	2	1	no	—
15	C₂×C₁₃×#102	—	2	1	no	—
16	C₂×C₁₃×#102	—	2	1	no	—
17	C₂×C₁₃×#102	—	2	1	no	—
18	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
19	C₁₃×#384	C₂²	1	1	yes	characteristic
20	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
21	C₁₃×#340	—	2	1	no	—
22	C₁₃×#336	—	2	1	no	—
23	C₁₃×#335	—	2	2	no	—
24	C₁₃×#331	—	2	2	no	—
25	C₂²×D₄×C₁₃	—	2	1	no	—
26	C₂²×D₄×C₁₃	—	2	1	no	—
27	C₂²×D₄×C₁₃	—	2	1	no	—
28	C₂²×C₈×C₁₃	—	2	1	no	—
29	C₂²×C₈×C₁₃	—	2	1	no	—
30	C₂²×C₈×C₁₃	—	2	1	no	—
31	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
32	C₂²×C₈×C₁₃	D₄	1	1	yes	characteristic
33	C₁₃×#127	—	2	1	no	—
34	C₁₃×#127	—	2	1	no	—
35	C₁₃×#127	—	2	1	no	—
36	C₁₃×#127	Q₈	1	2	yes	—
37	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
38	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
39	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
40	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
41	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
42	C₂×C₄²×C₁₃	—	2	1	no	—
43	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
44	C₁₃×#106	—	4	2	no	—
45	C₁₃×C₄⋊C₈	—	2	1	no	—
46	C₁₃×C₄⋊C₈	—	2	1	no	—
47	C₁₃×C₄⋊C₈	—	2	1	no	—
48	C₁₃×C₄⋊C₈	—	2	1	no	—
49	C₁₃×C₄⋊C₈	—	2	1	no	—
50	C₁₃×C₄⋊C₈	—	4	2	no	—
51	C₁₃×C₄⋊C₈	D₄	1	2	yes	—
52	C₁₃×#102	—	4	2	no	—
53	C₁₃×#102	—	4	2	no	—
54	C₁₃×#102	—	4	2	no	—
55	C₁₃×#102	—	4	2	no	—
56	C₄×C₈×C₁₃	—	2	1	no	—
57	C₄×C₈×C₁₃	—	2	1	no	—
58	C₁₃×#95	—	2	1	no	—
59	#10599	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
60	C₂⁴×C₁₃	—	4	1	no	—
61	C₂×D₄×C₁₃	—	2	2	no	—
62	C₂×D₄×C₁₃	—	2	2	no	—
63	C₂×D₄×C₁₃	—	2	2	no	—
64	C₂×D₄×C₁₃	—	4	1	no	—
65	C₂×D₄×C₁₃	—	4	1	no	—
66	C₂×D₄×C₁₃	—	4	1	no	—
67	C₂×D₄×C₁₃	—	4	1	no	—
68	C₂×D₄×C₁₃	—	4	1	no	—
69	C₂×D₄×C₁₃	—	4	1	no	—
70	C₂×D₄×C₁₃	—	4	1	no	—
71	C₂×D₄×C₁₃	—	4	1	no	—
72	C₂×D₄×C₁₃	—	4	1	no	—
73	C₂×D₄×C₁₃	—	4	1	no	—
74	C₂×D₄×C₁₃	—	4	1	no	—
75	C₂×D₄×C₁₃	—	8	1	no	—
76	C₂×D₄×C₁₃	—	8	1	no	—
77	C₂²×C₄×C₁₃	—	2	1	no	—
78	C₂²×C₄×C₁₃	—	2	1	no	—
79	C₂²×C₄×C₁₃	—	4	1	no	—
80	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
81	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₄×C₁₃	#41	1	1	yes	characteristic
83	C₂×C₈×C₁₃	—	2	1	no	—
84	C₂×C₈×C₁₃	—	2	1	no	—
85	C₂×C₈×C₁₃	—	2	1	no	—
86	C₂×C₈×C₁₃	—	2	2	no	—
87	C₂×C₈×C₁₃	—	2	1	no	—
88	C₂×C₈×C₁₃	—	2	1	no	—
89	C₂×C₈×C₁₃	—	4	1	no	—
90	C₂×C₈×C₁₃	—	4	1	no	—
91	C₂×C₈×C₁₃	—	4	1	no	—
92	C₂×C₈×C₁₃	—	4	1	no	—
93	C₂×C₈×C₁₃	—	4	1	no	—
94	C₂×C₈×C₁₃	—	4	1	no	—
95	C₂×C₈×C₁₃	—	4	1	no	—
96	C₂×C₈×C₁₃	—	4	1	no	—
97	C₂×C₈×C₁₃	SD₁₆	1	2	yes	—
98	C₁₃×C₄⋊C₄	—	2	1	no	—
99	C₁₃×C₄⋊C₄	—	2	1	no	—
100	C₁₃×C₄⋊C₄	—	2	1	no	—
101	C₁₃×C₄⋊C₄	—	4	1	no	—
102	C₁₃×C₄⋊C₄	—	4	1	no	—
103	C₁₃×C₄⋊C₄	—	4	1	no	—
104	C₁₃×C₄⋊C₄	—	4	1	no	—
105	C₁₃×C₄⋊C₄	—	8	1	no	—
106	C₁₃×C₄⋊C₄	D₈	1	2	yes	—
107	C₄²×C₁₃	—	4	1	no	—
108	C₄²×C₁₃	—	4	1	no	—
109	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
110	C₄²×C₁₃	C₂×Q₈	1	1	yes	characteristic
111	C₄²×C₁₃	#41	1	1	yes	characteristic
112	C₄²×C₁₃	#41	1	1	yes	characteristic
113	#1982	C₂×C₁₃	1	1	yes	characteristic
114	#1957	C₂×C₁₃	1	1	yes	characteristic
115	#1948	C₂×C₁₃	1	1	yes	characteristic, complemented
116	#1939	C₂×C₁₃	1	1	yes	characteristic, complemented
117	C₂×#335	C₂×C₁₃	1	1	yes	characteristic, complemented
118	C₂×#331	C₂×C₁₃	1	1	yes	characteristic
119	#1296	C₂×C₁₃	1	1	yes	characteristic, complemented
120	C₂³×C₁₃	—	4	2	no	—
121	C₂³×C₁₃	—	8	1	no	—
122	C₂³×C₁₃	—	8	1	no	—
123	C₂³×C₁₃	—	8	1	no	—
124	C₂³×C₁₃	—	8	1	no	—
125	C₂³×C₁₃	—	8	1	no	—
126	C₂³×C₁₃	—	8	1	no	—
127	C₂³×C₁₃	#121	1	1	yes	characteristic
128	D₄×C₁₃	—	4	2	no	—
129	D₄×C₁₃	—	4	2	no	—
130	D₄×C₁₃	—	4	2	no	—
131	D₄×C₁₃	—	4	2	no	—
132	D₄×C₁₃	—	8	2	no	—
133	D₄×C₁₃	—	8	2	no	—
134	D₄×C₁₃	—	8	1	no	—
135	D₄×C₁₃	—	8	1	no	—
136	D₄×C₁₃	—	8	1	no	—
137	D₄×C₁₃	—	8	1	no	—
138	C₂×C₄×C₁₃	—	2	1	no	—
139	C₂×C₄×C₁₃	—	2	1	no	—
140	C₂×C₄×C₁₃	—	2	2	no	—
141	C₂×C₄×C₁₃	—	4	1	no	—
142	C₂×C₄×C₁₃	—	4	1	no	—
143	C₂×C₄×C₁₃	—	4	1	no	—
144	C₂×C₄×C₁₃	—	4	1	no	—
145	C₂×C₄×C₁₃	—	4	1	no	—
146	C₂×C₄×C₁₃	—	8	1	no	—
147	C₂×C₄×C₁₃	—	8	1	no	—
148	C₂×C₄×C₁₃	—	8	1	no	—
149	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
150	C₂×C₄×C₁₃	#121	1	1	yes	characteristic
151	C₂×C₄×C₁₃	C₂²⋊Q₈	1	1	yes	characteristic
152	C₂×C₄×C₁₃	C₂²⋊Q₈	1	1	yes	characteristic
153	C₂×C₄×C₁₃	C₂²⋊Q₈	1	1	yes	characteristic
154	C₂×C₄×C₁₃	#126	1	1	yes	characteristic
155	C₂×C₄×C₁₃	C₂×D₈	1	1	yes	characteristic
156	C₂×C₄×C₁₃	C₂×SD₁₆	1	1	yes	characteristic
157	C₂×C₄×C₁₃	#135	1	1	yes	characteristic
158	C₂×C₄×C₁₃	#135	1	1	yes	characteristic
159	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
160	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
161	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	1	yes	characteristic
162	C₂×C₄×C₁₃	#137	1	1	yes	characteristic
163	C₈×C₁₃	—	2	2	no	—
164	C₈×C₁₃	—	4	2	no	—
165	C₈×C₁₃	—	4	1	no	—
166	C₈×C₁₃	—	8	1	no	—
167	C₈×C₁₃	—	8	1	no	—
168	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
169	C₂×#106	—	2	1	no	—
170	C₂×C₄⋊C₈	—	2	1	no	—
171	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
172	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
173	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
174	C₂×#102	—	2	1	no	—
175	C₂×#102	—	2	1	no	—
176	C₂×#102	—	2	1	no	—
177	C₂×#102	—	2	1	no	—
178	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
179	#384	C₂²×C₁₃	1	1	yes	characteristic
180	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
181	#340	—	2	1	no	—
182	#336	—	2	1	no	—
183	#335	—	2	2	no	—
184	#331	—	2	2	no	—
185	C₂²×C₁₃	—	8	2	no	—
186	C₂²×C₁₃	—	8	2	no	—
187	C₂²×C₁₃	—	8	2	no	—
188	C₂²×C₁₃	—	16	1	no	—
189	C₂²×C₁₃	—	16	1	no	—
190	C₂²×C₁₃	—	16	1	no	—
191	C₂²×C₁₃	—	16	1	no	—
192	C₂²×C₁₃	#396	1	1	yes	characteristic
193	C₂²×C₁₃	#460	1	1	yes	characteristic
194	C₂²×C₁₃	#463	1	1	yes	characteristic
195	C₂²×C₁₃	#466	1	1	yes	characteristic
196	C₂²×C₁₃	#468	1	1	yes	characteristic
197	C₂²×C₁₃	#471	1	1	yes	characteristic
198	C₂²×C₁₃	#472	1	1	yes	characteristic
199	C₄×C₁₃	—	2	1	no	—
200	C₄×C₁₃	—	2	1	no	—
201	C₄×C₁₃	—	4	2	no	—
202	C₄×C₁₃	—	8	1	no	—
203	C₄×C₁₃	—	16	1	no	—
204	C₄×C₁₃	#459	1	1	yes	characteristic
205	C₄×C₁₃	#464	1	1	yes	characteristic
206	C₄×C₁₃	#465	1	1	yes	characteristic
207	C₄×C₁₃	#469	1	1	yes	characteristic
208	C₄×C₁₃	#474	1	1	yes	characteristic
209	C₄×C₁₃	#476	1	1	yes	characteristic
210	C₄×C₁₃	#478	1	1	yes	characteristic
211	C₄×C₁₃	#478	1	1	yes	characteristic
212	C₂²×D₄	—	2	1	no	—
213	C₂²×D₄	—	2	1	no	—
214	C₂²×D₄	—	2	1	no	—
215	C₂²×C₈	—	2	1	no	—
216	C₂²×C₈	—	2	1	no	—
217	C₂²×C₈	—	2	1	no	—
218	C₂²×C₈	D₄×C₁₃	1	1	yes	characteristic
219	C₂²×C₈	D₄×C₁₃	1	1	yes	characteristic
220	#127	—	2	1	no	—
221	#127	—	2	1	no	—
222	#127	—	2	1	no	—
223	#127	Q₈×C₁₃	1	2	yes	—
224	C₂×C₄⋊C₄	—	2	1	no	—
225	C₂×C₄⋊C₄	—	2	1	no	—
226	C₂×C₄⋊C₄	—	2	1	no	—
227	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
228	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
229	C₂×C₄²	—	2	1	no	—
230	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
231	#106	—	4	2	no	—
232	C₄⋊C₈	—	2	1	no	—
233	C₄⋊C₈	—	2	1	no	—
234	C₄⋊C₈	—	2	1	no	—
235	C₄⋊C₈	—	2	1	no	—
236	C₄⋊C₈	—	2	1	no	—
237	C₄⋊C₈	—	4	2	no	—
238	C₄⋊C₈	D₄×C₁₃	1	2	yes	—
239	#102	—	4	2	no	—
240	#102	—	4	2	no	—
241	#102	—	4	2	no	—
242	#102	—	4	2	no	—
243	C₄×C₈	—	2	1	no	—
244	C₄×C₈	—	2	1	no	—
245	#95	—	2	1	no	—
246	C₂×C₁₃	—	16	2	no	—
247	C₂×C₁₃	#1668	1	1	yes	characteristic
248	C₂×C₁₃	#1681	1	1	yes	characteristic
249	C₂×C₁₃	#1686	1	1	yes	characteristic
250	C₂×C₁₃	#1697	1	1	yes	characteristic
251	C₂×C₁₃	#2063	1	1	yes	characteristic
252	C₂×C₁₃	#2065	1	1	yes	characteristic
253	C₂×C₁₃	#2067	1	1	yes	characteristic
254	C₂⁴	—	4	1	no	—
255	C₂×D₄	—	2	2	no	—
256	C₂×D₄	—	2	2	no	—
257	C₂×D₄	—	2	2	no	—
258	C₂×D₄	—	4	1	no	—
259	C₂×D₄	—	4	1	no	—
260	C₂×D₄	—	4	1	no	—
261	C₂×D₄	—	4	1	no	—
262	C₂×D₄	—	4	1	no	—
263	C₂×D₄	—	4	1	no	—
264	C₂×D₄	—	4	1	no	—
265	C₂×D₄	—	4	1	no	—
266	C₂×D₄	—	4	1	no	—
267	C₂×D₄	—	4	1	no	—
268	C₂×D₄	—	4	1	no	—
269	C₂×D₄	—	8	1	no	—
270	C₂×D₄	—	8	1	no	—
271	C₂²×C₄	—	2	1	no	—
272	C₂²×C₄	—	2	1	no	—
273	C₂²×C₄	—	4	1	no	—
274	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
275	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
276	C₂²×C₄	C₁₃×#41	1	1	yes	characteristic
277	C₂×C₈	—	2	1	no	—
278	C₂×C₈	—	2	1	no	—
279	C₂×C₈	—	2	1	no	—
280	C₂×C₈	—	2	2	no	—
281	C₂×C₈	—	2	1	no	—
282	C₂×C₈	—	2	1	no	—
283	C₂×C₈	—	4	1	no	—
284	C₂×C₈	—	4	1	no	—
285	C₂×C₈	—	4	1	no	—
286	C₂×C₈	—	4	1	no	—
287	C₂×C₈	—	4	1	no	—
288	C₂×C₈	—	4	1	no	—
289	C₂×C₈	—	4	1	no	—
290	C₂×C₈	—	4	1	no	—
291	C₂×C₈	C₁₃×SD₁₆	1	2	yes	—
292	C₄⋊C₄	—	2	1	no	—
293	C₄⋊C₄	—	2	1	no	—
294	C₄⋊C₄	—	2	1	no	—
295	C₄⋊C₄	—	4	1	no	—
296	C₄⋊C₄	—	4	1	no	—
297	C₄⋊C₄	—	4	1	no	—
298	C₄⋊C₄	—	4	1	no	—
299	C₄⋊C₄	—	8	1	no	—
300	C₄⋊C₄	C₁₃×D₈	1	2	yes	—
301	C₄²	—	4	1	no	—
302	C₄²	—	4	1	no	—
303	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
304	C₄²	C₂×Q₈×C₁₃	1	1	yes	characteristic
305	C₄²	C₁₃×#41	1	1	yes	characteristic
306	C₄²	C₁₃×#41	1	1	yes	characteristic
307	C₁₃	#10599	1	1	yes	characteristic, direct product factor, Sylow
308	C₂³	—	4	2	no	—
309	C₂³	—	8	1	no	—
310	C₂³	—	8	1	no	—
311	C₂³	—	8	1	no	—
312	C₂³	—	8	1	no	—
313	C₂³	—	8	1	no	—
314	C₂³	—	8	1	no	—
315	C₂³	C₁₃×#121	1	1	yes	characteristic
316	D₄	—	4	2	no	—
317	D₄	—	4	2	no	—
318	D₄	—	4	2	no	—
319	D₄	—	4	2	no	—
320	D₄	—	8	2	no	—
321	D₄	—	8	2	no	—
322	D₄	—	8	1	no	—
323	D₄	—	8	1	no	—
324	D₄	—	8	1	no	—
325	D₄	—	8	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	1	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	4	1	no	—
330	C₂×C₄	—	4	1	no	—
331	C₂×C₄	—	4	1	no	—
332	C₂×C₄	—	4	1	no	—
333	C₂×C₄	—	4	1	no	—
334	C₂×C₄	—	8	1	no	—
335	C₂×C₄	—	8	1	no	—
336	C₂×C₄	—	8	1	no	—
337	C₂×C₄	C₁₃×#121	1	1	yes	characteristic
338	C₂×C₄	C₁₃×#121	1	1	yes	characteristic
339	C₂×C₄	C₁₃×C₂²⋊Q₈	1	1	yes	characteristic
340	C₂×C₄	C₁₃×C₂²⋊Q₈	1	1	yes	characteristic
341	C₂×C₄	C₁₃×C₂²⋊Q₈	1	1	yes	characteristic
342	C₂×C₄	C₁₃×#126	1	1	yes	characteristic
343	C₂×C₄	C₂×C₁₃×D₈	1	1	yes	characteristic
344	C₂×C₄	C₂×C₁₃×SD₁₆	1	1	yes	characteristic
345	C₂×C₄	C₁₃×#135	1	1	yes	characteristic
346	C₂×C₄	C₁₃×#135	1	1	yes	characteristic
347	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
348	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
349	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
350	C₂×C₄	C₁₃×#137	1	1	yes	characteristic
351	C₈	—	2	2	no	—
352	C₈	—	4	2	no	—
353	C₈	—	4	1	no	—
354	C₈	—	8	1	no	—
355	C₈	—	8	1	no	—
356	C₂²	—	8	2	no	—
357	C₂²	—	8	2	no	—
358	C₂²	—	8	2	no	—
359	C₂²	—	16	1	no	—
360	C₂²	—	16	1	no	—
361	C₂²	—	16	1	no	—
362	C₂²	—	16	1	no	—
363	C₂²	C₁₃×#396	1	1	yes	characteristic
364	C₂²	C₁₃×#460	1	1	yes	characteristic
365	C₂²	C₁₃×#463	1	1	yes	characteristic
366	C₂²	C₁₃×#466	1	1	yes	characteristic
367	C₂²	C₁₃×#468	1	1	yes	characteristic
368	C₂²	C₁₃×#471	1	1	yes	characteristic
369	C₂²	C₁₃×#472	1	1	yes	characteristic
370	C₄	—	2	1	no	—
371	C₄	—	2	1	no	—
372	C₄	—	4	2	no	—
373	C₄	—	8	1	no	—
374	C₄	—	16	1	no	—
375	C₄	C₁₃×#459	1	1	yes	characteristic
376	C₄	C₁₃×#464	1	1	yes	characteristic
377	C₄	C₁₃×#465	1	1	yes	characteristic
378	C₄	C₁₃×#469	1	1	yes	characteristic
379	C₄	C₁₃×#474	1	1	yes	characteristic
380	C₄	C₁₃×#476	1	1	yes	characteristic
381	C₄	C₁₃×#478	1	1	yes	characteristic
382	C₄	C₁₃×#478	1	1	yes	characteristic
383	C₂	—	16	2	no	—
384	C₂	C₁₃×#1668	1	1	yes	characteristic
385	C₂	C₁₃×#1681	1	1	yes	characteristic
386	C₂	C₁₃×#1686	1	1	yes	characteristic
387	C₂	C₁₃×#1697	1	1	yes	characteristic
388	C₂	C₁₃×#2063	1	1	yes	characteristic
389	C₂	C₁₃×#2065	1	1	yes	characteristic
390	C₂	C₁₃×#2067	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	#121
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₁₃
prime radical	C₂×C₁₃×#127	C₂²
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₄²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₁₃×#1948	C₂	semidirect
4. C₁₃×#1939	C₂	semidirect
5. C₂×C₁₃×#335	C₂	semidirect
7. C₁₃×#1296	C₂	semidirect
59. #10599	C₁₃	direct (N × H)
115. #1948	C₂×C₁₃	semidirect
116. #1939	C₂×C₁₃	semidirect
117. C₂×#335	C₂×C₁₃	semidirect
119. #1296	C₂×C₁₃	semidirect
307. C₁₃	#10599	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×#1982	2
C₁₃×#1957	2
C₁₃×#1948	2
C₁₃×#1939	2
C₂×C₁₃×#335	2
C₂×C₁₃×#331	2
C₁₃×#1296	2
#10599	13

Subgroups — C13×#10599 #15696938

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#10599 #15696938