Subgroups — C₁₃×#32536 #15718875

Order 3328.

714 conjugacy classes of subgroups.

The subgroup lattice has 378 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2512	C₂	1	2	yes	maximal, complemented
2	C₁₃×#2094	C₂	1	2	yes	maximal, complemented
3	C₁₃×#2065	C₂	1	2	yes	maximal, complemented
4	C₁₃×#2054	C₂	1	2	yes	maximal
5	C₁₃×#1972	C₂	1	1	yes	maximal, characteristic
6	C₁₃×#1948	C₂	1	2	yes	maximal, complemented
7	C₁₃×#1944	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#1940	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1925	C₂	1	2	yes	maximal, complemented
10	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
11	C₂×C₁₃×#126	—	2	2	no	—
12	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
13	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
14	C₂×C₁₃×#106	C₂²	1	2	yes	—
15	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
16	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
17	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#102	C₂²	1	2	yes	—
19	C₂×C₁₃×#102	C₂²	1	2	yes	—
20	C₂×C₁₃×#102	C₂²	1	2	yes	—
21	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
22	C₁₃×#397	—	2	2	no	—
23	C₁₃×#396	—	2	2	no	—
24	C₁₃×#390	C₂²	1	2	yes	—
25	C₁₃×#390	C₂²	1	2	yes	—
26	C₁₃×#390	C₂²	1	2	yes	—
27	C₁₃×#389	C₂²	1	2	yes	—
28	C₁₃×#388	—	2	2	no	—
29	C₁₃×#384	C₂²	1	2	yes	—
30	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	—
31	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
32	C₁₃×#340	C₂²	1	2	yes	—
33	C₁₃×#340	C₂²	1	2	yes	—
34	C₁₃×#336	C₂²	1	2	yes	—
35	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
36	C₂×C₁₃×D₈	—	2	2	no	—
37	C₂×C₁₃×D₈	—	4	1	no	—
38	C₂×C₁₃×D₈	—	4	1	no	—
39	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
40	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
41	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
42	C₁₃×#126	—	4	8	no	—
43	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
44	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
45	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
46	C₂×C₁₃×C₄⋊C₄	D₄	1	2	yes	—
47	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
48	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
49	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
50	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
51	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
52	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
53	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
54	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
55	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
56	C₂×C₄²×C₁₃	—	2	2	no	—
57	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
58	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
59	C₁₃×#107	—	4	1	no	—
60	C₁₃×#106	—	2	2	no	—
61	C₁₃×#106	—	4	2	no	—
62	C₁₃×#106	—	4	1	no	—
63	C₁₃×C₄⋊C₈	—	2	4	no	—
64	C₁₃×C₄⋊C₈	—	4	1	no	—
65	C₁₃×#102	—	2	4	no	—
66	C₁₃×#102	—	4	2	no	—
67	C₁₃×#102	—	4	2	no	—
68	C₁₃×#97	—	4	1	no	—
69	C₁₃×#95	—	2	2	no	—
70	C₁₃×#95	—	2	2	no	—
71	C₁₃×#95	D₄	1	1	yes	characteristic
72	C₁₃×#95	D₄	1	1	yes	characteristic
73	#32536	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
74	C₂⁴×C₁₃	—	2	2	no	—
75	C₂×D₄×C₁₃	—	2	2	no	—
76	C₂×D₄×C₁₃	—	2	2	no	—
77	C₂×D₄×C₁₃	—	2	2	no	—
78	C₂×D₄×C₁₃	—	2	2	no	—
79	C₂×D₄×C₁₃	—	2	2	no	—
80	C₂×D₄×C₁₃	—	2	2	no	—
81	C₂²×C₄×C₁₃	—	2	2	no	—
82	C₂²×C₄×C₁₃	—	2	2	no	—
83	C₂²×C₄×C₁₃	—	2	2	no	—
84	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
85	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
86	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
89	C₁₃×D₈	—	4	4	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	#41	1	2	yes	—
98	C₂×C₈×C₁₃	#41	1	2	yes	—
99	C₁₃×C₄⋊C₄	—	2	4	no	—
100	C₁₃×C₄⋊C₄	—	2	2	no	—
101	C₁₃×C₄⋊C₄	—	2	2	no	—
102	C₁₃×C₄⋊C₄	—	2	2	no	—
103	C₁₃×C₄⋊C₄	—	2	2	no	—
104	C₁₃×C₄⋊C₄	—	2	2	no	—
105	C₁₃×C₄⋊C₄	—	2	2	no	—
106	C₁₃×C₄⋊C₄	—	4	4	no	—
107	C₁₃×C₄⋊C₄	—	4	4	no	—
108	C₁₃×C₄⋊C₄	—	8	2	no	—
109	C₁₃×C₂²⋊C₄	—	4	4	no	—
110	C₁₃×C₂²⋊C₄	—	4	4	no	—
111	C₁₃×C₂²⋊C₄	—	4	4	no	—
112	C₁₃×C₂²⋊C₄	—	4	4	no	—
113	C₁₃×C₂²⋊C₄	—	8	2	no	—
114	C₁₃×C₂²⋊C₄	—	8	2	no	—
115	C₄²×C₁₃	—	2	2	no	—
116	C₄²×C₁₃	—	2	1	no	—
117	C₄²×C₁₃	—	2	2	no	—
118	C₄²×C₁₃	—	2	1	no	—
119	C₄²×C₁₃	—	4	4	no	—
120	#2512	C₂×C₁₃	1	2	yes	complemented
121	#2094	C₂×C₁₃	1	2	yes	complemented
122	#2065	C₂×C₁₃	1	2	yes	complemented
123	#2054	C₂×C₁₃	1	2	yes	—
124	#1972	C₂×C₁₃	1	1	yes	characteristic
125	#1948	C₂×C₁₃	1	2	yes	complemented
126	#1944	C₂×C₁₃	1	1	yes	characteristic, complemented
127	#1940	C₂×C₁₃	1	1	yes	characteristic, complemented
128	#1925	C₂×C₁₃	1	2	yes	complemented
129	C₂³×C₁₃	—	4	2	no	—
130	C₂³×C₁₃	—	4	2	no	—
131	C₂³×C₁₃	—	4	2	no	—
132	C₂³×C₁₃	—	4	2	no	—
133	C₂³×C₁₃	—	4	2	no	—
134	C₂³×C₁₃	—	4	2	no	—
135	C₂³×C₁₃	—	4	2	no	—
136	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
137	D₄×C₁₃	—	4	2	no	—
138	D₄×C₁₃	—	4	2	no	—
139	D₄×C₁₃	—	4	2	no	—
140	D₄×C₁₃	—	4	2	no	—
141	C₂×C₄×C₁₃	—	2	2	no	—
142	C₂×C₄×C₁₃	—	2	2	no	—
143	C₂×C₄×C₁₃	—	2	1	no	—
144	C₂×C₄×C₁₃	—	2	1	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	—	4	2	no	—
151	C₂×C₄×C₁₃	—	4	2	no	—
152	C₂×C₄×C₁₃	—	4	2	no	—
153	C₂×C₄×C₁₃	—	4	2	no	—
154	C₂×C₄×C₁₃	—	4	2	no	—
155	C₂×C₄×C₁₃	—	4	2	no	—
156	C₂×C₄×C₁₃	—	4	2	no	—
157	C₂×C₄×C₁₃	—	4	2	no	—
158	C₂×C₄×C₁₃	—	4	2	no	—
159	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	4	yes	—
160	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
161	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
162	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
163	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
164	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
165	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
166	C₈×C₁₃	—	2	2	no	—
167	C₈×C₁₃	—	2	2	no	—
168	C₈×C₁₃	—	4	2	no	—
169	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
170	C₂×#126	—	2	2	no	—
171	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
172	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
173	C₂×#106	C₂²×C₁₃	1	2	yes	—
174	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
175	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
176	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
177	C₂×#102	C₂²×C₁₃	1	2	yes	—
178	C₂×#102	C₂²×C₁₃	1	2	yes	—
179	C₂×#102	C₂²×C₁₃	1	2	yes	—
180	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
181	#397	—	2	2	no	—
182	#396	—	2	2	no	—
183	#390	C₂²×C₁₃	1	2	yes	—
184	#390	C₂²×C₁₃	1	2	yes	—
185	#390	C₂²×C₁₃	1	2	yes	—
186	#389	C₂²×C₁₃	1	2	yes	—
187	#388	—	2	2	no	—
188	#384	C₂²×C₁₃	1	2	yes	—
189	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
190	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
191	#340	C₂²×C₁₃	1	2	yes	—
192	#340	C₂²×C₁₃	1	2	yes	—
193	#336	C₂²×C₁₃	1	2	yes	—
194	C₂²×C₁₃	—	8	2	no	—
195	C₂²×C₁₃	—	8	2	no	—
196	C₂²×C₁₃	—	8	2	no	—
197	C₂²×C₁₃	—	8	2	no	—
198	C₂²×C₁₃	—	8	2	no	—
199	C₂²×C₁₃	—	8	2	no	—
200	C₂²×C₁₃	—	8	2	no	—
201	C₂²×C₁₃	#537	1	1	yes	characteristic
202	C₂²×C₁₃	#547	1	1	yes	characteristic
203	C₂²×C₁₃	#550	1	1	yes	characteristic
204	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
205	C₂²×C₁₃	#577	1	2	yes	—
206	C₄×C₁₃	—	2	4	no	—
207	C₄×C₁₃	—	4	2	no	—
208	C₄×C₁₃	—	4	1	no	—
209	C₄×C₁₃	—	4	1	no	—
210	C₄×C₁₃	—	8	2	no	—
211	C₄×C₁₃	—	8	2	no	—
212	C₄×C₁₃	—	8	2	no	—
213	C₄×C₁₃	#538	1	1	yes	characteristic
214	C₄×C₁₃	#539	1	1	yes	characteristic
215	C₄×C₁₃	#556	1	1	yes	characteristic
216	C₄×C₁₃	#563	1	1	yes	characteristic
217	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
218	C₂×D₈	—	2	2	no	—
219	C₂×D₈	—	4	1	no	—
220	C₂×D₈	—	4	1	no	—
221	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
222	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
223	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
224	#126	—	4	8	no	—
225	C₂×C₄⋊C₄	—	2	2	no	—
226	C₂×C₄⋊C₄	—	2	2	no	—
227	C₂×C₄⋊C₄	—	2	2	no	—
228	C₂×C₄⋊C₄	D₄×C₁₃	1	2	yes	—
229	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
230	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
231	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
232	C₂×C₂²⋊C₄	—	2	2	no	—
233	C₂×C₂²⋊C₄	—	2	2	no	—
234	C₂×C₂²⋊C₄	—	2	2	no	—
235	C₂×C₂²⋊C₄	—	2	2	no	—
236	C₂×C₂²⋊C₄	—	2	2	no	—
237	C₂×C₂²⋊C₄	—	2	2	no	—
238	C₂×C₄²	—	2	2	no	—
239	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
240	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
241	#107	—	4	1	no	—
242	#106	—	2	2	no	—
243	#106	—	4	2	no	—
244	#106	—	4	1	no	—
245	C₄⋊C₈	—	2	4	no	—
246	C₄⋊C₈	—	4	1	no	—
247	#102	—	2	4	no	—
248	#102	—	4	2	no	—
249	#102	—	4	2	no	—
250	#97	—	4	1	no	—
251	#95	—	2	2	no	—
252	#95	—	2	2	no	—
253	#95	D₄×C₁₃	1	1	yes	characteristic
254	#95	D₄×C₁₃	1	1	yes	characteristic
255	C₂×C₁₃	—	16	2	no	—
256	C₂×C₁₃	#2727	1	1	yes	characteristic
257	C₂×C₁₃	#3253	1	1	yes	characteristic
258	C₂×C₁₃	#3263	1	1	yes	characteristic
259	C₂×C₁₃	#3345	1	2	yes	—
260	C₂×C₁₃	#3397	1	2	yes	—
261	C₂⁴	—	2	2	no	—
262	C₂×D₄	—	2	2	no	—
263	C₂×D₄	—	2	2	no	—
264	C₂×D₄	—	2	2	no	—
265	C₂×D₄	—	2	2	no	—
266	C₂×D₄	—	2	2	no	—
267	C₂×D₄	—	2	2	no	—
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	—	2	2	no	—
270	C₂²×C₄	—	2	2	no	—
271	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
272	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
273	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
274	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
275	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
276	D₈	—	4	4	no	—
277	C₂×C₈	—	2	1	no	—
278	C₂×C₈	—	2	1	no	—
279	C₂×C₈	—	2	1	no	—
280	C₂×C₈	—	2	1	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	—	2	2	no	—
284	C₂×C₈	C₁₃×#41	1	2	yes	—
285	C₂×C₈	C₁₃×#41	1	2	yes	—
286	C₄⋊C₄	—	2	4	no	—
287	C₄⋊C₄	—	2	2	no	—
288	C₄⋊C₄	—	2	2	no	—
289	C₄⋊C₄	—	2	2	no	—
290	C₄⋊C₄	—	2	2	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	2	2	no	—
293	C₄⋊C₄	—	4	4	no	—
294	C₄⋊C₄	—	4	4	no	—
295	C₄⋊C₄	—	8	2	no	—
296	C₂²⋊C₄	—	4	4	no	—
297	C₂²⋊C₄	—	4	4	no	—
298	C₂²⋊C₄	—	4	4	no	—
299	C₂²⋊C₄	—	4	4	no	—
300	C₂²⋊C₄	—	8	2	no	—
301	C₂²⋊C₄	—	8	2	no	—
302	C₄²	—	2	2	no	—
303	C₄²	—	2	1	no	—
304	C₄²	—	2	2	no	—
305	C₄²	—	2	1	no	—
306	C₄²	—	4	4	no	—
307	C₁₃	#32536	1	1	yes	characteristic, direct product factor, Sylow
308	C₂³	—	4	2	no	—
309	C₂³	—	4	2	no	—
310	C₂³	—	4	2	no	—
311	C₂³	—	4	2	no	—
312	C₂³	—	4	2	no	—
313	C₂³	—	4	2	no	—
314	C₂³	—	4	2	no	—
315	C₂³	C₂²×D₄×C₁₃	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	C₂×C₄	—	2	2	no	—
321	C₂×C₄	—	2	2	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	4	2	no	—
330	C₂×C₄	—	4	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	4	yes	—
339	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
340	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
341	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
342	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
343	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
344	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
345	C₈	—	2	2	no	—
346	C₈	—	2	2	no	—
347	C₈	—	4	2	no	—
348	C₂²	—	8	2	no	—
349	C₂²	—	8	2	no	—
350	C₂²	—	8	2	no	—
351	C₂²	—	8	2	no	—
352	C₂²	—	8	2	no	—
353	C₂²	—	8	2	no	—
354	C₂²	—	8	2	no	—
355	C₂²	C₁₃×#537	1	1	yes	characteristic
356	C₂²	C₁₃×#547	1	1	yes	characteristic
357	C₂²	C₁₃×#550	1	1	yes	characteristic
358	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
359	C₂²	C₁₃×#577	1	2	yes	—
360	C₄	—	2	4	no	—
361	C₄	—	4	1	no	—
362	C₄	—	4	2	no	—
363	C₄	—	4	1	no	—
364	C₄	—	8	2	no	—
365	C₄	—	8	2	no	—
366	C₄	—	8	2	no	—
367	C₄	C₁₃×#538	1	1	yes	characteristic
368	C₄	C₁₃×#539	1	1	yes	characteristic
369	C₄	C₁₃×#556	1	1	yes	characteristic
370	C₄	C₁₃×#563	1	1	yes	characteristic
371	C₂	—	16	2	no	—
372	C₂	C₁₃×#2727	1	1	yes	characteristic
373	C₂	C₁₃×#3253	1	1	yes	characteristic
374	C₂	C₁₃×#3263	1	1	yes	characteristic
375	C₂	C₁₃×#3345	1	2	yes	—
376	C₂	C₁₃×#3397	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂²×C₁₃×D₈	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₄×C₁₃×C₄⋊C₄ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2512	C₂	semidirect
2. C₁₃×#2094	C₂	semidirect
3. C₁₃×#2065	C₂	semidirect
6. C₁₃×#1948	C₂	semidirect
7. C₁₃×#1944	C₂	semidirect
8. C₁₃×#1940	C₂	semidirect
9. C₁₃×#1925	C₂	semidirect
73. #32536	C₁₃	direct (N × H)
120. #2512	C₂×C₁₃	semidirect
121. #2094	C₂×C₁₃	semidirect
122. #2065	C₂×C₁₃	semidirect
125. #1948	C₂×C₁₃	semidirect
126. #1944	C₂×C₁₃	semidirect
127. #1940	C₂×C₁₃	semidirect
128. #1925	C₂×C₁₃	semidirect
307. C₁₃	#32536	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×#2512	2
C₁₃×#2094	2
C₁₃×#2065	2
C₁₃×#2054	2
C₁₃×#1972	2
C₁₃×#1948	2
C₁₃×#1944	2
C₁₃×#1940	2
C₁₃×#1925	2
#32536	13

Subgroups — C13×#32536 #15718875

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#32536 #15718875