Subgroups — C₁₃×#25189 #15711528

Order 3328.

1000 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₃×#454	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₃×#443	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2898	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2064	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2051	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2040	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2004	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1958	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1937	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1908	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1907	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1860	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
17	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
20	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
22	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
23	C₁₃×#537	C₂²	1	1	yes	characteristic
24	C₁₃×#535	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
26	C₁₃×#520	C₂²	1	1	yes	characteristic
27	C₁₃×#469	—	2	1	no	—
28	C₁₃×#468	—	2	1	no	—
29	C₁₃×#466	—	2	1	no	—
30	C₁₃×#465	—	2	1	no	—
31	C₁₃×#464	—	2	1	no	—
32	C₁₃×#463	—	2	1	no	—
33	C₁₃×#460	—	2	1	no	—
34	C₁₃×#459	—	2	1	no	—
35	C₁₃×#454	—	2	4	no	—
36	C₁₃×#452	—	2	1	no	—
37	C₁₃×#451	—	2	1	no	—
38	C₁₃×#449	—	2	1	no	—
39	C₁₃×#448	—	2	1	no	—
40	C₁₃×#443	—	2	4	no	—
41	C₂×C₁₃×#108	C₂²	1	1	yes	characteristic
42	C₁₃×#428	C₂²	1	1	yes	characteristic
43	C₁₃×#424	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#104	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#104	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#104	C₂²	1	1	yes	characteristic
47	C₁₃×#419	—	2	1	no	—
48	C₁₃×#419	C₂²	1	1	yes	characteristic
49	C₁₃×#417	—	2	1	no	—
50	C₁₃×#417	C₂²	1	1	yes	characteristic
51	C₁₃×#417	C₂²	1	1	yes	characteristic
52	C₁₃×#417	C₂²	1	1	yes	characteristic
53	C₁₃×#416	—	2	1	no	—
54	C₁₃×#416	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×#103	—	2	1	no	—
56	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
58	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#101	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×#100	C₂²	1	1	yes	characteristic
62	C₁₃×#408	C₂²	1	1	yes	characteristic
63	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
64	C₁₃×#382	C₂²	1	1	yes	characteristic
65	C₁₃×#343	C₂²	1	1	yes	characteristic
66	C₁₃×#343	C₂²	1	1	yes	characteristic
67	C₁₃×#341	C₂²	1	1	yes	characteristic
68	C₁₃×#339	C₂²	1	1	yes	characteristic
69	C₁₃×2₋¹⁺⁴	—	2	2	no	—
70	C₁₃×2₋¹⁺⁴	—	2	2	no	—
71	C₁₃×2₋¹⁺⁴	—	2	2	no	—
72	C₁₃×2₋¹⁺⁴	—	4	1	no	—
73	C₂×C₁₃×#41	—	2	1	no	—
74	C₂×C₁₃×#41	—	2	1	no	—
75	C₂×C₁₃×#41	—	4	1	no	—
76	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
77	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
78	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
79	C₂²×Q₈×C₁₃	—	2	1	no	—
80	C₂²×Q₈×C₁₃	—	2	1	no	—
81	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
82	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
83	C₁₃×#137	—	2	2	no	—
84	C₁₃×#137	—	4	1	no	—
85	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
86	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
87	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
88	C₁₃×AGL(1,ℤ/8)	—	4	1	no	—
89	C₁₃×#135	—	2	2	no	—
90	C₁₃×#135	—	2	2	no	—
91	C₂×C₁₃×Q₁₆	—	2	1	no	—
92	C₂×C₁₃×Q₁₆	D₄	1	1	yes	characteristic
93	C₂×C₁₃×SD₁₆	—	2	1	no	—
94	C₂×C₁₃×SD₁₆	—	2	1	no	—
95	C₂×C₁₃×SD₁₆	—	2	1	no	—
96	C₂×C₁₃×SD₁₆	D₄	1	1	yes	characteristic
97	C₂×C₁₃×SD₁₆	D₄	1	1	yes	characteristic
98	C₂×C₁₃×D₈	—	2	1	no	—
99	C₂×C₁₃×D₈	—	2	1	no	—
100	C₂×C₁₃×D₈	D₄	1	1	yes	characteristic
101	C₁₃×#131	—	2	2	no	—
102	C₁₃×#131	—	2	2	no	—
103	C₁₃×#131	—	4	1	no	—
104	C₁₃×#131	—	4	1	no	—
105	C₂×C₁₃×M₁₆	—	2	1	no	—
106	C₂×C₁₃×M₁₆	—	2	1	no	—
107	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
108	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
109	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
110	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
111	C₂²×C₈×C₁₃	—	2	1	no	—
112	C₂²×C₈×C₁₃	—	2	1	no	—
113	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
114	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
115	C₁₃×#127	—	2	1	no	—
116	C₁₃×#124	—	2	1	no	—
117	C₁₃×#124	—	2	2	no	—
118	C₁₃×#124	—	2	2	no	—
119	C₁₃×C₂²⋊Q₈	—	2	1	no	—
120	C₁₃×C₂²⋊Q₈	—	2	1	no	—
121	C₁₃×#121	—	2	1	no	—
122	C₁₃×#121	—	2	1	no	—
123	C₁₃×#121	—	2	1	no	—
124	C₁₃×#121	—	2	1	no	—
125	C₁₃×#121	—	4	1	no	—
126	C₁₃×#120	—	4	1	no	—
127	C₄×Q₈×C₁₃	—	2	1	no	—
128	C₄×D₄×C₁₃	—	2	1	no	—
129	C₄×D₄×C₁₃	—	4	1	no	—
130	C₁₃×#117	—	2	1	no	—
131	C₁₃×#117	C₂³	1	1	yes	characteristic
132	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
133	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
134	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
135	C₂×C₁₃×C₂²⋊C₄	—	4	1	no	—
136	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
137	C₁₃×#108	—	2	2	no	—
138	C₁₃×#107	—	2	1	no	—
139	C₁₃×#106	—	2	1	no	—
140	C₁₃×C₄⋊C₈	—	2	1	no	—
141	C₁₃×C₄⋊C₈	—	2	1	no	—
142	C₁₃×#104	—	2	2	no	—
143	C₁₃×#104	—	2	2	no	—
144	C₁₃×#104	D₄	1	4	yes	complemented
145	C₁₃×#103	—	2	1	no	—
146	C₁₃×#103	—	2	1	no	—
147	C₁₃×#103	—	2	1	no	—
148	C₁₃×#103	—	2	1	no	—
149	C₁₃×#103	—	2	1	no	—
150	C₁₃×#103	—	2	1	no	—
151	C₁₃×#103	—	2	1	no	—
152	C₁₃×#103	—	2	1	no	—
153	C₁₃×#103	—	2	1	no	—
154	C₁₃×#103	D₄	1	1	yes	characteristic
155	C₁₃×#103	D₄	1	1	yes	characteristic
156	C₁₃×#102	—	2	1	no	—
157	C₁₃×#102	—	2	1	no	—
158	C₁₃×#102	—	2	1	no	—
159	C₁₃×#102	—	2	1	no	—
160	C₁₃×#102	—	2	1	no	—
161	C₁₃×#102	—	2	1	no	—
162	C₁₃×#102	—	2	1	no	—
163	C₁₃×#102	D₄	1	1	yes	characteristic
164	C₁₃×#102	D₄	1	1	yes	characteristic
165	C₁₃×#101	—	2	2	no	—
166	C₁₃×#100	—	4	1	no	—
167	C₁₃×C₂²⋊C₈	—	2	1	no	—
168	C₁₃×C₂²⋊C₈	—	2	1	no	—
169	C₄×C₈×C₁₃	—	2	2	no	—
170	C₁₃×#95	—	4	1	no	—
171	#25189	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
172	C₂⁴×C₁₃	—	2	1	no	—
173	C₁₃×#41	—	2	1	no	—
174	C₁₃×#41	—	2	1	no	—
175	C₁₃×#41	—	2	4	no	—
176	C₁₃×#41	—	2	1	no	—
177	C₁₃×#41	—	2	1	no	—
178	C₁₃×#41	—	2	1	no	—
179	C₁₃×#41	—	2	1	no	—
180	C₁₃×#41	—	2	1	no	—
181	C₁₃×#41	—	2	1	no	—
182	C₁₃×#41	—	2	1	no	—
183	C₁₃×#41	—	2	1	no	—
184	C₁₃×#41	—	4	2	no	—
185	C₁₃×#41	—	4	4	no	—
186	C₁₃×#41	—	4	2	no	—
187	C₁₃×#41	—	4	4	no	—
188	C₁₃×#41	—	4	2	no	—
189	C₁₃×#41	C₂×D₄	1	2	yes	—
190	C₁₃×#41	#41	1	2	yes	—
191	C₂×Q₈×C₁₃	—	2	1	no	—
192	C₂×Q₈×C₁₃	—	2	4	no	—
193	C₂×Q₈×C₁₃	—	2	1	no	—
194	C₂×Q₈×C₁₃	—	2	1	no	—
195	C₂×Q₈×C₁₃	—	2	1	no	—
196	C₂×Q₈×C₁₃	—	2	1	no	—
197	C₂×Q₈×C₁₃	—	4	1	no	—
198	C₂×Q₈×C₁₃	—	4	2	no	—
199	C₂×Q₈×C₁₃	—	4	2	no	—
200	C₂×Q₈×C₁₃	—	4	2	no	—
201	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
202	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
203	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
204	C₂×Q₈×C₁₃	#41	1	2	yes	—
205	C₂×D₄×C₁₃	—	2	1	no	—
206	C₂×D₄×C₁₃	—	2	1	no	—
207	C₂×D₄×C₁₃	—	2	1	no	—
208	C₂×D₄×C₁₃	—	2	1	no	—
209	C₂×D₄×C₁₃	—	2	1	no	—
210	C₂×D₄×C₁₃	—	2	1	no	—
211	C₂×D₄×C₁₃	—	2	1	no	—
212	C₂×D₄×C₁₃	—	2	1	no	—
213	C₂×D₄×C₁₃	—	2	1	no	—
214	C₂×D₄×C₁₃	—	4	1	no	—
215	C₂×D₄×C₁₃	—	4	1	no	—
216	C₂×D₄×C₁₃	—	4	1	no	—
217	C₂×D₄×C₁₃	—	4	1	no	—
218	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
219	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
220	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
221	C₂²×C₄×C₁₃	—	2	1	no	—
222	C₂²×C₄×C₁₃	—	2	1	no	—
223	C₂²×C₄×C₁₃	—	2	1	no	—
224	C₂²×C₄×C₁₃	—	2	1	no	—
225	C₂²×C₄×C₁₃	—	2	1	no	—
226	C₂²×C₄×C₁₃	—	2	1	no	—
227	C₂²×C₄×C₁₃	—	2	1	no	—
228	C₂²×C₄×C₁₃	—	4	1	no	—
229	C₂²×C₄×C₁₃	—	4	1	no	—
230	C₂²×C₄×C₁₃	—	4	1	no	—
231	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
232	C₁₃×Q₁₆	—	2	2	no	—
233	C₁₃×Q₁₆	—	4	2	no	—
234	C₁₃×SD₁₆	—	2	2	no	—
235	C₁₃×SD₁₆	—	2	2	no	—
236	C₁₃×SD₁₆	—	4	2	no	—
237	C₁₃×SD₁₆	—	4	2	no	—
238	C₁₃×SD₁₆	—	4	2	no	—
239	C₁₃×D₈	—	2	2	no	—
240	C₁₃×D₈	—	4	2	no	—
241	C₁₃×D₈	—	4	2	no	—
242	C₁₃×M₁₆	—	2	1	no	—
243	C₁₃×M₁₆	—	2	1	no	—
244	C₁₃×M₁₆	—	2	1	no	—
245	C₁₃×M₁₆	—	2	1	no	—
246	C₁₃×M₁₆	—	2	1	no	—
247	C₁₃×M₁₆	—	2	1	no	—
248	C₁₃×M₁₆	—	2	1	no	—
249	C₁₃×M₁₆	—	4	2	no	—
250	C₁₃×M₁₆	—	4	2	no	—
251	C₁₃×M₁₆	C₂×D₄	1	2	yes	—
252	C₂×C₈×C₁₃	—	2	1	no	—
253	C₂×C₈×C₁₃	—	2	1	no	—
254	C₂×C₈×C₁₃	—	2	1	no	—
255	C₂×C₈×C₁₃	—	2	1	no	—
256	C₂×C₈×C₁₃	—	2	1	no	—
257	C₂×C₈×C₁₃	—	2	1	no	—
258	C₂×C₈×C₁₃	—	2	1	no	—
259	C₂×C₈×C₁₃	—	2	1	no	—
260	C₂×C₈×C₁₃	—	4	2	no	—
261	C₂×C₈×C₁₃	—	4	2	no	—
262	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
263	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
264	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
265	C₂×C₈×C₁₃	C₂×D₄	1	1	yes	characteristic
266	C₁₃×C₄⋊C₄	—	2	1	no	—
267	C₁₃×C₄⋊C₄	—	2	1	no	—
268	C₁₃×C₄⋊C₄	—	2	1	no	—
269	C₁₃×C₄⋊C₄	—	2	1	no	—
270	C₁₃×C₄⋊C₄	—	4	1	no	—
271	C₁₃×C₄⋊C₄	—	4	1	no	—
272	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
273	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
274	C₁₃×C₂²⋊C₄	—	2	1	no	—
275	C₁₃×C₂²⋊C₄	—	4	4	no	—
276	C₁₃×C₂²⋊C₄	—	4	1	no	—
277	C₁₃×C₂²⋊C₄	—	4	1	no	—
278	C₁₃×C₂²⋊C₄	—	4	1	no	—
279	C₁₃×C₂²⋊C₄	—	4	1	no	—
280	C₁₃×C₂²⋊C₄	—	4	1	no	—
281	C₄²×C₁₃	—	2	1	no	—
282	C₄²×C₁₃	—	2	1	no	—
283	C₄²×C₁₃	—	4	1	no	—
284	C₄²×C₁₃	C₂×D₄	1	2	yes	—
285	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
286	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
287	C₂×#454	C₂×C₁₃	1	1	yes	characteristic, complemented
288	#3013	C₂×C₁₃	1	1	yes	characteristic, complemented
289	C₂×#443	C₂×C₁₃	1	1	yes	characteristic, complemented
290	#2898	C₂×C₁₃	1	1	yes	characteristic, complemented
291	#2064	C₂×C₁₃	1	1	yes	characteristic, complemented
292	#2051	C₂×C₁₃	1	1	yes	characteristic, complemented
293	#2040	C₂×C₁₃	1	1	yes	characteristic, complemented
294	#2004	C₂×C₁₃	1	1	yes	characteristic, complemented
295	#1958	C₂×C₁₃	1	1	yes	characteristic, complemented
296	#1937	C₂×C₁₃	1	1	yes	characteristic, complemented
297	#1908	C₂×C₁₃	1	1	yes	characteristic, complemented
298	#1907	C₂×C₁₃	1	1	yes	characteristic, complemented
299	#1860	C₂×C₁₃	1	1	yes	characteristic, complemented
300	C₂³×C₁₃	—	2	1	no	—
301	C₂³×C₁₃	—	2	1	no	—
302	C₂³×C₁₃	—	2	1	no	—
303	C₂³×C₁₃	—	4	1	no	—
304	C₂³×C₁₃	—	4	1	no	—
305	C₂³×C₁₃	—	4	1	no	—
306	C₂³×C₁₃	—	8	1	no	—
307	C₂³×C₁₃	—	8	1	no	—
308	C₂³×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
309	Q₈×C₁₃	—	2	1	no	—
310	Q₈×C₁₃	—	2	1	no	—
311	Q₈×C₁₃	—	2	1	no	—
312	Q₈×C₁₃	—	2	2	no	—
313	Q₈×C₁₃	—	2	1	no	—
314	Q₈×C₁₃	—	2	2	no	—
315	Q₈×C₁₃	—	2	1	no	—
316	Q₈×C₁₃	—	4	4	no	—
317	Q₈×C₁₃	—	4	1	no	—
318	Q₈×C₁₃	—	4	1	no	—
319	Q₈×C₁₃	#121	1	2	yes	—
320	D₄×C₁₃	—	2	2	no	—
321	D₄×C₁₃	—	2	2	no	—
322	D₄×C₁₃	—	2	1	no	—
323	D₄×C₁₃	—	2	1	no	—
324	D₄×C₁₃	—	2	1	no	—
325	D₄×C₁₃	—	2	1	no	—
326	D₄×C₁₃	—	2	1	no	—
327	D₄×C₁₃	—	4	4	no	—
328	D₄×C₁₃	—	4	1	no	—
329	D₄×C₁₃	—	4	1	no	—
330	D₄×C₁₃	—	4	1	no	—
331	D₄×C₁₃	—	4	1	no	—
332	D₄×C₁₃	—	4	1	no	—
333	D₄×C₁₃	—	4	1	no	—
334	D₄×C₁₃	—	4	1	no	—
335	D₄×C₁₃	—	4	1	no	—
336	D₄×C₁₃	—	16	1	no	—
337	D₄×C₁₃	—	16	1	no	—
338	D₄×C₁₃	—	16	1	no	—
339	D₄×C₁₃	#121	1	2	yes	—
340	C₂×C₄×C₁₃	—	2	1	no	—
341	C₂×C₄×C₁₃	—	2	2	no	—
342	C₂×C₄×C₁₃	—	2	2	no	—
343	C₂×C₄×C₁₃	—	2	1	no	—
344	C₂×C₄×C₁₃	—	2	1	no	—
345	C₂×C₄×C₁₃	—	2	1	no	—
346	C₂×C₄×C₁₃	—	2	1	no	—
347	C₂×C₄×C₁₃	—	2	2	no	—
348	C₂×C₄×C₁₃	—	2	2	no	—
349	C₂×C₄×C₁₃	—	4	4	no	—
350	C₂×C₄×C₁₃	—	4	1	no	—
351	C₂×C₄×C₁₃	—	4	1	no	—
352	C₂×C₄×C₁₃	—	4	4	no	—
353	C₂×C₄×C₁₃	—	4	1	no	—
354	C₂×C₄×C₁₃	—	4	1	no	—
355	C₂×C₄×C₁₃	—	4	1	no	—
356	C₂×C₄×C₁₃	—	4	1	no	—
357	C₂×C₄×C₁₃	—	4	1	no	—
358	C₂×C₄×C₁₃	—	4	1	no	—
359	C₂×C₄×C₁₃	—	4	1	no	—
360	C₂×C₄×C₁₃	—	4	1	no	—
361	C₂×C₄×C₁₃	—	8	1	no	—
362	C₂×C₄×C₁₃	—	8	1	no	—
363	C₂×C₄×C₁₃	—	16	1	no	—
364	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
365	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
366	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
367	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
368	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
369	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
370	C₈×C₁₃	—	2	1	no	—
371	C₈×C₁₃	—	2	1	no	—
372	C₈×C₁₃	—	2	1	no	—
373	C₈×C₁₃	—	2	1	no	—
374	C₈×C₁₃	—	2	2	no	—
375	C₈×C₁₃	—	4	1	no	—
376	C₈×C₁₃	—	4	1	no	—
377	C₈×C₁₃	—	4	1	no	—
378	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
379	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
380	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
381	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
382	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
383	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
384	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
385	#537	C₂²×C₁₃	1	1	yes	characteristic
386	#535	C₂²×C₁₃	1	1	yes	characteristic
387	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
388	#520	C₂²×C₁₃	1	1	yes	characteristic
389	#469	—	2	1	no	—
390	#468	—	2	1	no	—
391	#466	—	2	1	no	—
392	#465	—	2	1	no	—
393	#464	—	2	1	no	—
394	#463	—	2	1	no	—
395	#460	—	2	1	no	—
396	#459	—	2	1	no	—
397	#454	—	2	4	no	—
398	#452	—	2	1	no	—
399	#451	—	2	1	no	—
400	#449	—	2	1	no	—
401	#448	—	2	1	no	—
402	#443	—	2	4	no	—
403	C₂×#108	C₂²×C₁₃	1	1	yes	characteristic
404	#428	C₂²×C₁₃	1	1	yes	characteristic
405	#424	C₂²×C₁₃	1	1	yes	characteristic
406	C₂×#104	C₂²×C₁₃	1	1	yes	characteristic
407	C₂×#104	C₂²×C₁₃	1	1	yes	characteristic
408	C₂×#104	C₂²×C₁₃	1	1	yes	characteristic
409	#419	—	2	1	no	—
410	#419	C₂²×C₁₃	1	1	yes	characteristic
411	#417	—	2	1	no	—
412	#417	C₂²×C₁₃	1	1	yes	characteristic
413	#417	C₂²×C₁₃	1	1	yes	characteristic
414	#417	C₂²×C₁₃	1	1	yes	characteristic
415	#416	—	2	1	no	—
416	#416	C₂²×C₁₃	1	1	yes	characteristic
417	C₂×#103	—	2	1	no	—
418	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
419	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
420	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
421	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
422	C₂×#101	C₂²×C₁₃	1	1	yes	characteristic
423	C₂×#100	C₂²×C₁₃	1	1	yes	characteristic
424	#408	C₂²×C₁₃	1	1	yes	characteristic
425	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
426	#382	C₂²×C₁₃	1	1	yes	characteristic
427	#343	C₂²×C₁₃	1	1	yes	characteristic
428	#343	C₂²×C₁₃	1	1	yes	characteristic
429	#341	C₂²×C₁₃	1	1	yes	characteristic
430	#339	C₂²×C₁₃	1	1	yes	characteristic
431	C₂²×C₁₃	—	2	1	no	—
432	C₂²×C₁₃	—	2	1	no	—
433	C₂²×C₁₃	—	2	2	no	—
434	C₂²×C₁₃	—	4	1	no	—
435	C₂²×C₁₃	—	4	1	no	—
436	C₂²×C₁₃	—	4	1	no	—
437	C₂²×C₁₃	—	4	1	no	—
438	C₂²×C₁₃	—	4	1	no	—
439	C₂²×C₁₃	—	4	1	no	—
440	C₂²×C₁₃	—	4	1	no	—
441	C₂²×C₁₃	—	4	1	no	—
442	C₂²×C₁₃	—	8	2	no	—
443	C₂²×C₁₃	—	8	1	no	—
444	C₂²×C₁₃	—	8	1	no	—
445	C₂²×C₁₃	—	8	1	no	—
446	C₂²×C₁₃	—	16	1	no	—
447	C₂²×C₁₃	#538	1	1	yes	characteristic
448	C₂²×C₁₃	D₄²	1	1	yes	characteristic
449	C₂²×C₁₃	#546	1	1	yes	characteristic
450	C₄×C₁₃	—	2	2	no	—
451	C₄×C₁₃	—	4	2	no	—
452	C₄×C₁₃	—	4	1	no	—
453	C₄×C₁₃	—	4	2	no	—
454	C₄×C₁₃	—	4	1	no	—
455	C₄×C₁₃	—	4	1	no	—
456	C₄×C₁₃	—	4	1	no	—
457	C₄×C₁₃	—	8	1	no	—
458	C₄×C₁₃	—	8	1	no	—
459	C₄×C₁₃	C₂×#121	1	1	yes	characteristic
460	C₄×C₁₃	#525	1	1	yes	characteristic
461	C₄×C₁₃	D₄²	1	1	yes	characteristic
462	C₄×C₁₃	#546	1	1	yes	characteristic
463	2₋¹⁺⁴	—	2	2	no	—
464	2₋¹⁺⁴	—	2	2	no	—
465	2₋¹⁺⁴	—	2	2	no	—
466	2₋¹⁺⁴	—	4	1	no	—
467	C₂×#41	—	2	1	no	—
468	C₂×#41	—	2	1	no	—
469	C₂×#41	—	4	1	no	—
470	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
471	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
472	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
473	C₂²×Q₈	—	2	1	no	—
474	C₂²×Q₈	—	2	1	no	—
475	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
476	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
477	#137	—	2	2	no	—
478	#137	—	4	1	no	—
479	AGL(1,ℤ/8)	—	2	2	no	—
480	AGL(1,ℤ/8)	—	2	2	no	—
481	AGL(1,ℤ/8)	—	2	2	no	—
482	AGL(1,ℤ/8)	—	4	1	no	—
483	#135	—	2	2	no	—
484	#135	—	2	2	no	—
485	C₂×Q₁₆	—	2	1	no	—
486	C₂×Q₁₆	D₄×C₁₃	1	1	yes	characteristic
487	C₂×SD₁₆	—	2	1	no	—
488	C₂×SD₁₆	—	2	1	no	—
489	C₂×SD₁₆	—	2	1	no	—
490	C₂×SD₁₆	D₄×C₁₃	1	1	yes	characteristic
491	C₂×SD₁₆	D₄×C₁₃	1	1	yes	characteristic
492	C₂×D₈	—	2	1	no	—
493	C₂×D₈	—	2	1	no	—
494	C₂×D₈	D₄×C₁₃	1	1	yes	characteristic
495	#131	—	2	2	no	—
496	#131	—	2	2	no	—
497	#131	—	4	1	no	—
498	#131	—	4	1	no	—
499	C₂×M₁₆	—	2	1	no	—
500	C₂×M₁₆	—	2	1	no	—
501	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
502	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
503	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
504	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
505	C₂²×C₈	—	2	1	no	—
506	C₂²×C₈	—	2	1	no	—
507	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
508	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
509	#127	—	2	1	no	—
510	#124	—	2	1	no	—
511	#124	—	2	2	no	—
512	#124	—	2	2	no	—
513	C₂²⋊Q₈	—	2	1	no	—
514	C₂²⋊Q₈	—	2	1	no	—
515	#121	—	2	1	no	—
516	#121	—	2	1	no	—
517	#121	—	2	1	no	—
518	#121	—	2	1	no	—
519	#121	—	4	1	no	—
520	#120	—	4	1	no	—
521	C₄×Q₈	—	2	1	no	—
522	C₄×D₄	—	2	1	no	—
523	C₄×D₄	—	4	1	no	—
524	#117	—	2	1	no	—
525	#117	C₂³×C₁₃	1	1	yes	characteristic
526	C₂×C₄⋊C₄	—	2	1	no	—
527	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
528	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
529	C₂×C₂²⋊C₄	—	4	1	no	—
530	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
531	#108	—	2	2	no	—
532	#107	—	2	1	no	—
533	#106	—	2	1	no	—
534	C₄⋊C₈	—	2	1	no	—
535	C₄⋊C₈	—	2	1	no	—
536	#104	—	2	2	no	—
537	#104	—	2	2	no	—
538	#104	D₄×C₁₃	1	4	yes	complemented
539	#103	—	2	1	no	—
540	#103	—	2	1	no	—
541	#103	—	2	1	no	—
542	#103	—	2	1	no	—
543	#103	—	2	1	no	—
544	#103	—	2	1	no	—
545	#103	—	2	1	no	—
546	#103	—	2	1	no	—
547	#103	—	2	1	no	—
548	#103	D₄×C₁₃	1	1	yes	characteristic
549	#103	D₄×C₁₃	1	1	yes	characteristic
550	#102	—	2	1	no	—
551	#102	—	2	1	no	—
552	#102	—	2	1	no	—
553	#102	—	2	1	no	—
554	#102	—	2	1	no	—
555	#102	—	2	1	no	—
556	#102	—	2	1	no	—
557	#102	D₄×C₁₃	1	1	yes	characteristic
558	#102	D₄×C₁₃	1	1	yes	characteristic
559	#101	—	2	2	no	—
560	#100	—	4	1	no	—
561	C₂²⋊C₈	—	2	1	no	—
562	C₂²⋊C₈	—	2	1	no	—
563	C₄×C₈	—	2	2	no	—
564	#95	—	4	1	no	—
565	C₂×C₁₃	—	2	1	no	—
566	C₂×C₁₃	—	2	1	no	—
567	C₂×C₁₃	—	4	2	no	—
568	C₂×C₁₃	—	8	1	no	—
569	C₂×C₁₃	—	8	1	no	—
570	C₂×C₁₃	—	16	1	no	—
571	C₂×C₁₃	#2424	1	1	yes	characteristic
572	C₂×C₁₃	#3290	1	1	yes	characteristic
573	C₂×C₁₃	#3290	1	1	yes	characteristic
574	C₂⁴	—	2	1	no	—
575	#41	—	2	1	no	—
576	#41	—	2	1	no	—
577	#41	—	2	4	no	—
578	#41	—	2	1	no	—
579	#41	—	2	1	no	—
580	#41	—	2	1	no	—
581	#41	—	2	1	no	—
582	#41	—	2	1	no	—
583	#41	—	2	1	no	—
584	#41	—	2	1	no	—
585	#41	—	2	1	no	—
586	#41	—	4	2	no	—
587	#41	—	4	4	no	—
588	#41	—	4	2	no	—
589	#41	—	4	4	no	—
590	#41	—	4	2	no	—
591	#41	C₂×D₄×C₁₃	1	2	yes	—
592	#41	C₁₃×#41	1	2	yes	—
593	C₂×Q₈	—	2	1	no	—
594	C₂×Q₈	—	2	4	no	—
595	C₂×Q₈	—	2	1	no	—
596	C₂×Q₈	—	2	1	no	—
597	C₂×Q₈	—	2	1	no	—
598	C₂×Q₈	—	2	1	no	—
599	C₂×Q₈	—	4	1	no	—
600	C₂×Q₈	—	4	2	no	—
601	C₂×Q₈	—	4	2	no	—
602	C₂×Q₈	—	4	2	no	—
603	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
604	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
605	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
606	C₂×Q₈	C₁₃×#41	1	2	yes	—
607	C₂×D₄	—	2	1	no	—
608	C₂×D₄	—	2	1	no	—
609	C₂×D₄	—	2	1	no	—
610	C₂×D₄	—	2	1	no	—
611	C₂×D₄	—	2	1	no	—
612	C₂×D₄	—	2	1	no	—
613	C₂×D₄	—	2	1	no	—
614	C₂×D₄	—	2	1	no	—
615	C₂×D₄	—	2	1	no	—
616	C₂×D₄	—	4	1	no	—
617	C₂×D₄	—	4	1	no	—
618	C₂×D₄	—	4	1	no	—
619	C₂×D₄	—	4	1	no	—
620	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
621	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
622	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
623	C₂²×C₄	—	2	1	no	—
624	C₂²×C₄	—	2	1	no	—
625	C₂²×C₄	—	2	1	no	—
626	C₂²×C₄	—	2	1	no	—
627	C₂²×C₄	—	2	1	no	—
628	C₂²×C₄	—	2	1	no	—
629	C₂²×C₄	—	2	1	no	—
630	C₂²×C₄	—	4	1	no	—
631	C₂²×C₄	—	4	1	no	—
632	C₂²×C₄	—	4	1	no	—
633	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
634	Q₁₆	—	2	2	no	—
635	Q₁₆	—	4	2	no	—
636	SD₁₆	—	2	2	no	—
637	SD₁₆	—	2	2	no	—
638	SD₁₆	—	4	2	no	—
639	SD₁₆	—	4	2	no	—
640	SD₁₆	—	4	2	no	—
641	D₈	—	2	2	no	—
642	D₈	—	4	2	no	—
643	D₈	—	4	2	no	—
644	M₁₆	—	2	1	no	—
645	M₁₆	—	2	1	no	—
646	M₁₆	—	2	1	no	—
647	M₁₆	—	2	1	no	—
648	M₁₆	—	2	1	no	—
649	M₁₆	—	2	1	no	—
650	M₁₆	—	2	1	no	—
651	M₁₆	—	4	2	no	—
652	M₁₆	—	4	2	no	—
653	M₁₆	C₂×D₄×C₁₃	1	2	yes	—
654	C₂×C₈	—	2	1	no	—
655	C₂×C₈	—	2	1	no	—
656	C₂×C₈	—	2	1	no	—
657	C₂×C₈	—	2	1	no	—
658	C₂×C₈	—	2	1	no	—
659	C₂×C₈	—	2	1	no	—
660	C₂×C₈	—	2	1	no	—
661	C₂×C₈	—	2	1	no	—
662	C₂×C₈	—	4	2	no	—
663	C₂×C₈	—	4	2	no	—
664	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
665	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
666	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
667	C₂×C₈	C₂×D₄×C₁₃	1	1	yes	characteristic
668	C₄⋊C₄	—	2	1	no	—
669	C₄⋊C₄	—	2	1	no	—
670	C₄⋊C₄	—	2	1	no	—
671	C₄⋊C₄	—	2	1	no	—
672	C₄⋊C₄	—	4	1	no	—
673	C₄⋊C₄	—	4	1	no	—
674	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
675	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
676	C₂²⋊C₄	—	2	1	no	—
677	C₂²⋊C₄	—	4	4	no	—
678	C₂²⋊C₄	—	4	1	no	—
679	C₂²⋊C₄	—	4	1	no	—
680	C₂²⋊C₄	—	4	1	no	—
681	C₂²⋊C₄	—	4	1	no	—
682	C₂²⋊C₄	—	4	1	no	—
683	C₄²	—	2	1	no	—
684	C₄²	—	2	1	no	—
685	C₄²	—	4	1	no	—
686	C₄²	C₂×D₄×C₁₃	1	2	yes	—
687	C₁₃	#25189	1	1	yes	characteristic, direct product factor, Sylow
688	C₂³	—	2	1	no	—
689	C₂³	—	2	1	no	—
690	C₂³	—	2	1	no	—
691	C₂³	—	4	1	no	—
692	C₂³	—	4	1	no	—
693	C₂³	—	4	1	no	—
694	C₂³	—	8	1	no	—
695	C₂³	—	8	1	no	—
696	C₂³	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
697	Q₈	—	2	1	no	—
698	Q₈	—	2	1	no	—
699	Q₈	—	2	1	no	—
700	Q₈	—	2	2	no	—
701	Q₈	—	2	1	no	—
702	Q₈	—	2	2	no	—
703	Q₈	—	2	1	no	—
704	Q₈	—	4	4	no	—
705	Q₈	—	4	1	no	—
706	Q₈	—	4	1	no	—
707	Q₈	C₁₃×#121	1	2	yes	—
708	D₄	—	2	2	no	—
709	D₄	—	2	2	no	—
710	D₄	—	2	1	no	—
711	D₄	—	2	1	no	—
712	D₄	—	2	1	no	—
713	D₄	—	2	1	no	—
714	D₄	—	2	1	no	—
715	D₄	—	4	4	no	—
716	D₄	—	4	1	no	—
717	D₄	—	4	1	no	—
718	D₄	—	4	1	no	—
719	D₄	—	4	1	no	—
720	D₄	—	4	1	no	—
721	D₄	—	4	1	no	—
722	D₄	—	4	1	no	—
723	D₄	—	4	1	no	—
724	D₄	—	16	1	no	—
725	D₄	—	16	1	no	—
726	D₄	—	16	1	no	—
727	D₄	C₁₃×#121	1	2	yes	—
728	C₂×C₄	—	2	1	no	—
729	C₂×C₄	—	2	2	no	—
730	C₂×C₄	—	2	2	no	—
731	C₂×C₄	—	2	1	no	—
732	C₂×C₄	—	2	1	no	—
733	C₂×C₄	—	2	1	no	—
734	C₂×C₄	—	2	1	no	—
735	C₂×C₄	—	2	2	no	—
736	C₂×C₄	—	2	2	no	—
737	C₂×C₄	—	4	4	no	—
738	C₂×C₄	—	4	1	no	—
739	C₂×C₄	—	4	1	no	—
740	C₂×C₄	—	4	4	no	—
741	C₂×C₄	—	4	1	no	—
742	C₂×C₄	—	4	1	no	—
743	C₂×C₄	—	4	1	no	—
744	C₂×C₄	—	4	1	no	—
745	C₂×C₄	—	4	1	no	—
746	C₂×C₄	—	4	1	no	—
747	C₂×C₄	—	4	1	no	—
748	C₂×C₄	—	4	1	no	—
749	C₂×C₄	—	8	1	no	—
750	C₂×C₄	—	8	1	no	—
751	C₂×C₄	—	16	1	no	—
752	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
753	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
754	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
755	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
756	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
757	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
758	C₈	—	2	1	no	—
759	C₈	—	2	1	no	—
760	C₈	—	2	1	no	—
761	C₈	—	2	1	no	—
762	C₈	—	2	2	no	—
763	C₈	—	4	1	no	—
764	C₈	—	4	1	no	—
765	C₈	—	4	1	no	—
766	C₂²	—	2	1	no	—
767	C₂²	—	2	1	no	—
768	C₂²	—	2	2	no	—
769	C₂²	—	4	1	no	—
770	C₂²	—	4	1	no	—
771	C₂²	—	4	1	no	—
772	C₂²	—	4	1	no	—
773	C₂²	—	4	1	no	—
774	C₂²	—	4	1	no	—
775	C₂²	—	4	1	no	—
776	C₂²	—	4	1	no	—
777	C₂²	—	8	2	no	—
778	C₂²	—	8	1	no	—
779	C₂²	—	8	1	no	—
780	C₂²	—	8	1	no	—
781	C₂²	—	16	1	no	—
782	C₂²	C₁₃×#538	1	1	yes	characteristic
783	C₂²	D₄²×C₁₃	1	1	yes	characteristic
784	C₂²	C₁₃×#546	1	1	yes	characteristic
785	C₄	—	2	2	no	—
786	C₄	—	4	2	no	—
787	C₄	—	4	1	no	—
788	C₄	—	4	1	no	—
789	C₄	—	4	1	no	—
790	C₄	—	4	2	no	—
791	C₄	—	4	1	no	—
792	C₄	—	8	1	no	—
793	C₄	—	8	1	no	—
794	C₄	C₂×C₁₃×#121	1	1	yes	characteristic
795	C₄	C₁₃×#525	1	1	yes	characteristic
796	C₄	D₄²×C₁₃	1	1	yes	characteristic
797	C₄	C₁₃×#546	1	1	yes	characteristic
798	C₂	—	2	1	no	—
799	C₂	—	2	1	no	—
800	C₂	—	4	2	no	—
801	C₂	—	8	1	no	—
802	C₂	—	8	1	no	—
803	C₂	—	16	1	no	—
804	C₂	C₁₃×#2424	1	1	yes	characteristic
805	C₂	C₁₃×#3290	1	1	yes	characteristic
806	C₂	C₁₃×#3290	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	D₄²
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂²×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3062	C₂	semidirect
2. C₁₃×#3045	C₂	semidirect
3. C₂×C₁₃×#454	C₂	semidirect
4. C₁₃×#3013	C₂	semidirect
5. C₂×C₁₃×#443	C₂	semidirect
6. C₁₃×#2898	C₂	semidirect
7. C₁₃×#2064	C₂	semidirect
8. C₁₃×#2051	C₂	semidirect
9. C₁₃×#2040	C₂	semidirect
10. C₁₃×#2004	C₂	semidirect
11. C₁₃×#1958	C₂	semidirect
12. C₁₃×#1937	C₂	semidirect
13. C₁₃×#1908	C₂	semidirect
14. C₁₃×#1907	C₂	semidirect
15. C₁₃×#1860	C₂	semidirect
144. C₁₃×#104	D₄	semidirect
171. #25189	C₁₃	direct (N × H)
285. #3062	C₂×C₁₃	semidirect
286. #3045	C₂×C₁₃	semidirect
287. C₂×#454	C₂×C₁₃	semidirect
288. #3013	C₂×C₁₃	semidirect
289. C₂×#443	C₂×C₁₃	semidirect
290. #2898	C₂×C₁₃	semidirect
291. #2064	C₂×C₁₃	semidirect
292. #2051	C₂×C₁₃	semidirect
293. #2040	C₂×C₁₃	semidirect
294. #2004	C₂×C₁₃	semidirect
295. #1958	C₂×C₁₃	semidirect
296. #1937	C₂×C₁₃	semidirect
297. #1908	C₂×C₁₃	semidirect
298. #1907	C₂×C₁₃	semidirect
299. #1860	C₂×C₁₃	semidirect
538. #104	D₄×C₁₃	semidirect
687. C₁₃	#25189	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×#3062	2
C₁₃×#3045	2
C₂×C₁₃×#454	2
C₁₃×#3013	2
C₂×C₁₃×#443	2
C₁₃×#2898	2
C₁₃×#2064	2
C₁₃×#2051	2
C₁₃×#2040	2
C₁₃×#2004	2
C₁₃×#1958	2
C₁₃×#1937	2
C₁₃×#1908	2
C₁₃×#1907	2
C₁₃×#1860	2
#25189	13

Subgroups — C13×#25189 #15711528

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#25189 #15711528