Subgroups — C₁₃×#24662 #15711001

Order 3328.

970 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#459	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#433	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2619	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2034	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2033	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#1999	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#1999	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1982	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#1972	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1970	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1949	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1936	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1934	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1804	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
17	C₂²×C₁₃×D₈	C₂²	1	1	yes	characteristic
18	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
20	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
21	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
22	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
23	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
24	C₁₃×#459	—	2	4	no	—
25	C₁₃×#433	—	2	4	no	—
26	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
41	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
42	C₁₃×#394	—	2	1	no	—
43	C₁₃×#394	—	2	1	no	—
44	C₁₃×#392	—	2	1	no	—
45	C₁₃×#392	—	2	1	no	—
46	C₁₃×#390	—	2	1	no	—
47	C₁₃×#390	C₂²	1	1	yes	characteristic
48	C₁₃×#390	C₂²	1	1	yes	characteristic
49	C₁₃×#390	C₂²	1	1	yes	characteristic
50	C₁₃×#389	C₂²	1	1	yes	characteristic
51	C₁₃×#388	—	2	1	no	—
52	C₁₃×#386	—	2	1	no	—
53	C₁₃×#385	—	2	1	no	—
54	C₁₃×#382	C₂²	1	1	yes	characteristic
55	C₁₃×#380	C₂²	1	1	yes	characteristic
56	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
57	C₁₃×#340	C₂²	1	1	yes	characteristic
58	C₁₃×#340	C₂²	1	1	yes	characteristic
59	C₁₃×#340	C₂²	1	1	yes	characteristic
60	C₁₃×#340	C₂²	1	1	yes	characteristic
61	C₂²×D₄×C₁₃	—	2	1	no	—
62	C₂²×D₄×C₁₃	—	2	1	no	—
63	C₂²×D₄×C₁₃	—	2	1	no	—
64	C₂²×D₄×C₁₃	—	2	1	no	—
65	C₂²×D₄×C₁₃	—	2	1	no	—
66	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
67	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
68	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
69	C₂³×C₄×C₁₃	—	2	1	no	—
70	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
71	C₂×C₁₃×D₈	—	2	2	no	—
72	C₂×C₁₃×D₈	—	2	2	no	—
73	C₂×C₁₃×D₈	—	2	2	no	—
74	C₂×C₁₃×D₈	—	2	2	no	—
75	C₂×C₁₃×D₈	—	4	1	no	—
76	C₂×C₁₃×D₈	—	4	1	no	—
77	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
78	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
79	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
80	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
81	C₁₃×#127	—	2	2	no	—
82	C₁₃×#127	—	2	2	no	—
83	C₁₃×#121	—	2	2	no	—
84	C₁₃×#121	—	2	2	no	—
85	C₁₃×#121	—	4	1	no	—
86	C₁₃×#121	—	4	1	no	—
87	C₁₃×#121	—	4	1	no	—
88	C₁₃×#121	—	4	1	no	—
89	C₄×D₄×C₁₃	—	2	2	no	—
90	C₄×D₄×C₁₃	—	2	2	no	—
91	C₁₃×#117	—	2	2	no	—
92	C₁₃×#117	—	2	2	no	—
93	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
94	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
95	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
96	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
97	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
98	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
99	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
100	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
101	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
102	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
103	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
104	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
105	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
106	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
107	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
108	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
109	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
110	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
111	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
112	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
113	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
114	C₂×C₄²×C₁₃	—	2	1	no	—
115	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
116	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
117	C₁₃×#107	—	4	1	no	—
118	C₁₃×#106	—	4	1	no	—
119	C₁₃×C₄⋊C₈	—	2	2	no	—
120	C₁₃×C₄⋊C₈	D₄	1	4	yes	complemented
121	C₁₃×#102	—	2	2	no	—
122	C₁₃×#102	—	2	2	no	—
123	C₁₃×#102	—	2	2	no	—
124	C₁₃×#102	—	2	2	no	—
125	C₁₃×#102	—	4	1	no	—
126	C₁₃×#102	—	4	1	no	—
127	C₁₃×#102	—	4	1	no	—
128	C₁₃×#102	—	4	1	no	—
129	C₁₃×C₂²⋊C₈	—	2	2	no	—
130	C₁₃×C₂²⋊C₈	—	2	2	no	—
131	C₁₃×#97	—	2	2	no	—
132	C₄×C₈×C₁₃	—	2	2	no	—
133	C₁₃×#95	—	2	1	no	—
134	C₁₃×#95	—	2	1	no	—
135	C₁₃×#95	—	2	1	no	—
136	C₁₃×#95	—	2	1	no	—
137	C₁₃×#95	—	2	1	no	—
138	#24662	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
139	C₂⁴×C₁₃	—	2	1	no	—
140	C₂⁴×C₁₃	—	2	1	no	—
141	C₂⁴×C₁₃	—	2	1	no	—
142	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
143	C₂×D₄×C₁₃	—	2	4	no	—
144	C₂×D₄×C₁₃	—	2	1	no	—
145	C₂×D₄×C₁₃	—	2	1	no	—
146	C₂×D₄×C₁₃	—	2	1	no	—
147	C₂×D₄×C₁₃	—	2	1	no	—
148	C₂×D₄×C₁₃	—	2	1	no	—
149	C₂×D₄×C₁₃	—	2	1	no	—
150	C₂×D₄×C₁₃	—	2	1	no	—
151	C₂×D₄×C₁₃	—	2	1	no	—
152	C₂×D₄×C₁₃	—	2	1	no	—
153	C₂×D₄×C₁₃	—	2	1	no	—
154	C₂×D₄×C₁₃	—	2	1	no	—
155	C₂×D₄×C₁₃	—	2	1	no	—
156	C₂×D₄×C₁₃	—	2	1	no	—
157	C₂×D₄×C₁₃	—	2	1	no	—
158	C₂×D₄×C₁₃	—	2	1	no	—
159	C₂×D₄×C₁₃	—	2	1	no	—
160	C₂×D₄×C₁₃	—	2	1	no	—
161	C₂×D₄×C₁₃	—	4	2	no	—
162	C₂×D₄×C₁₃	—	4	2	no	—
163	C₂×D₄×C₁₃	—	4	2	no	—
164	C₂×D₄×C₁₃	—	4	2	no	—
165	C₂×D₄×C₁₃	—	8	1	no	—
166	C₂×D₄×C₁₃	—	8	1	no	—
167	C₂×D₄×C₁₃	—	8	1	no	—
168	C₂×D₄×C₁₃	—	8	1	no	—
169	C₂×D₄×C₁₃	—	8	1	no	—
170	C₂×D₄×C₁₃	—	8	1	no	—
171	C₂×D₄×C₁₃	—	8	1	no	—
172	C₂×D₄×C₁₃	—	8	1	no	—
173	C₂×D₄×C₁₃	—	8	1	no	—
174	C₂×D₄×C₁₃	—	8	1	no	—
175	C₂×D₄×C₁₃	#41	1	2	yes	—
176	C₂²×C₄×C₁₃	—	2	1	no	—
177	C₂²×C₄×C₁₃	—	2	1	no	—
178	C₂²×C₄×C₁₃	—	2	1	no	—
179	C₂²×C₄×C₁₃	—	2	1	no	—
180	C₂²×C₄×C₁₃	—	2	1	no	—
181	C₂²×C₄×C₁₃	—	2	1	no	—
182	C₂²×C₄×C₁₃	—	2	1	no	—
183	C₂²×C₄×C₁₃	—	2	1	no	—
184	C₂²×C₄×C₁₃	—	2	1	no	—
185	C₂²×C₄×C₁₃	—	2	1	no	—
186	C₂²×C₄×C₁₃	—	2	1	no	—
187	C₂²×C₄×C₁₃	—	4	2	no	—
188	C₂²×C₄×C₁₃	—	8	1	no	—
189	C₂²×C₄×C₁₃	—	8	1	no	—
190	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
191	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
192	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
193	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
194	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
195	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
196	C₁₃×D₈	—	4	4	no	—
197	C₁₃×D₈	—	4	4	no	—
198	C₂×C₈×C₁₃	—	2	1	no	—
199	C₂×C₈×C₁₃	—	2	1	no	—
200	C₂×C₈×C₁₃	—	2	1	no	—
201	C₂×C₈×C₁₃	—	2	1	no	—
202	C₂×C₈×C₁₃	—	2	1	no	—
203	C₂×C₈×C₁₃	—	2	1	no	—
204	C₂×C₈×C₁₃	—	2	1	no	—
205	C₂×C₈×C₁₃	—	2	1	no	—
206	C₂×C₈×C₁₃	—	2	1	no	—
207	C₂×C₈×C₁₃	—	2	1	no	—
208	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
209	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
210	C₁₃×C₄⋊C₄	—	2	2	no	—
211	C₁₃×C₄⋊C₄	—	2	2	no	—
212	C₁₃×C₄⋊C₄	—	2	1	no	—
213	C₁₃×C₄⋊C₄	—	2	1	no	—
214	C₁₃×C₄⋊C₄	—	2	1	no	—
215	C₁₃×C₄⋊C₄	—	2	1	no	—
216	C₁₃×C₄⋊C₄	—	2	1	no	—
217	C₁₃×C₄⋊C₄	—	2	1	no	—
218	C₁₃×C₄⋊C₄	—	2	1	no	—
219	C₁₃×C₄⋊C₄	—	2	1	no	—
220	C₁₃×C₄⋊C₄	—	2	1	no	—
221	C₁₃×C₄⋊C₄	—	8	1	no	—
222	C₁₃×C₄⋊C₄	#41	1	2	yes	—
223	C₁₃×C₂²⋊C₄	—	2	4	no	—
224	C₁₃×C₂²⋊C₄	—	2	2	no	—
225	C₁₃×C₂²⋊C₄	—	2	2	no	—
226	C₁₃×C₂²⋊C₄	—	4	2	no	—
227	C₁₃×C₂²⋊C₄	—	4	2	no	—
228	C₁₃×C₂²⋊C₄	—	4	2	no	—
229	C₁₃×C₂²⋊C₄	—	8	1	no	—
230	C₁₃×C₂²⋊C₄	—	8	1	no	—
231	C₁₃×C₂²⋊C₄	—	8	1	no	—
232	C₁₃×C₂²⋊C₄	—	8	1	no	—
233	C₁₃×C₂²⋊C₄	—	8	1	no	—
234	C₁₃×C₂²⋊C₄	—	8	1	no	—
235	C₁₃×C₂²⋊C₄	—	8	1	no	—
236	C₄²×C₁₃	—	2	1	no	—
237	C₄²×C₁₃	—	2	1	no	—
238	C₄²×C₁₃	—	8	1	no	—
239	C₄²×C₁₃	C₂×D₄	1	2	yes	—
240	C₄²×C₁₃	#41	1	2	yes	—
241	C₂×#459	C₂×C₁₃	1	1	yes	characteristic, complemented
242	C₂×#433	C₂×C₁₃	1	1	yes	characteristic, complemented
243	#2619	C₂×C₁₃	1	1	yes	characteristic, complemented
244	#2324	C₂×C₁₃	1	1	yes	characteristic, complemented
245	#2034	C₂×C₁₃	1	1	yes	characteristic, complemented
246	#2033	C₂×C₁₃	1	1	yes	characteristic, complemented
247	#1999	C₂×C₁₃	1	1	yes	characteristic, complemented
248	#1999	C₂×C₁₃	1	1	yes	characteristic, complemented
249	#1982	C₂×C₁₃	1	1	yes	characteristic, complemented
250	#1972	C₂×C₁₃	1	1	yes	characteristic, complemented
251	#1970	C₂×C₁₃	1	1	yes	characteristic, complemented
252	#1949	C₂×C₁₃	1	1	yes	characteristic, complemented
253	#1936	C₂×C₁₃	1	1	yes	characteristic, complemented
254	#1934	C₂×C₁₃	1	1	yes	characteristic, complemented
255	#1804	C₂×C₁₃	1	1	yes	characteristic, complemented
256	C₂³×C₁₃	—	2	1	no	—
257	C₂³×C₁₃	—	2	2	no	—
258	C₂³×C₁₃	—	2	1	no	—
259	C₂³×C₁₃	—	2	1	no	—
260	C₂³×C₁₃	—	2	1	no	—
261	C₂³×C₁₃	—	2	1	no	—
262	C₂³×C₁₃	—	2	1	no	—
263	C₂³×C₁₃	—	2	1	no	—
264	C₂³×C₁₃	—	4	1	no	—
265	C₂³×C₁₃	—	4	1	no	—
266	C₂³×C₁₃	—	4	1	no	—
267	C₂³×C₁₃	—	4	1	no	—
268	C₂³×C₁₃	—	4	1	no	—
269	C₂³×C₁₃	—	4	1	no	—
270	C₂³×C₁₃	—	4	1	no	—
271	C₂³×C₁₃	—	4	1	no	—
272	C₂³×C₁₃	—	4	1	no	—
273	C₂³×C₁₃	—	4	1	no	—
274	C₂³×C₁₃	—	4	1	no	—
275	C₂³×C₁₃	—	4	1	no	—
276	C₂³×C₁₃	—	4	1	no	—
277	C₂³×C₁₃	—	4	1	no	—
278	C₂³×C₁₃	—	4	1	no	—
279	C₂³×C₁₃	—	4	1	no	—
280	C₂³×C₁₃	—	4	1	no	—
281	C₂³×C₁₃	—	4	1	no	—
282	C₂³×C₁₃	—	4	1	no	—
283	C₂³×C₁₃	—	4	1	no	—
284	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
285	D₄×C₁₃	—	2	2	no	—
286	D₄×C₁₃	—	2	2	no	—
287	D₄×C₁₃	—	4	1	no	—
288	D₄×C₁₃	—	4	1	no	—
289	D₄×C₁₃	—	4	1	no	—
290	D₄×C₁₃	—	4	1	no	—
291	D₄×C₁₃	—	4	1	no	—
292	D₄×C₁₃	—	4	1	no	—
293	D₄×C₁₃	—	4	1	no	—
294	D₄×C₁₃	—	4	1	no	—
295	D₄×C₁₃	—	4	1	no	—
296	D₄×C₁₃	—	4	1	no	—
297	D₄×C₁₃	—	8	4	no	—
298	D₄×C₁₃	—	8	4	no	—
299	D₄×C₁₃	—	8	4	no	—
300	D₄×C₁₃	—	8	4	no	—
301	D₄×C₁₃	—	8	4	no	—
302	C₂×C₄×C₁₃	—	2	1	no	—
303	C₂×C₄×C₁₃	—	2	1	no	—
304	C₂×C₄×C₁₃	—	2	1	no	—
305	C₂×C₄×C₁₃	—	2	1	no	—
306	C₂×C₄×C₁₃	—	2	1	no	—
307	C₂×C₄×C₁₃	—	2	1	no	—
308	C₂×C₄×C₁₃	—	2	1	no	—
309	C₂×C₄×C₁₃	—	2	1	no	—
310	C₂×C₄×C₁₃	—	2	2	no	—
311	C₂×C₄×C₁₃	—	2	1	no	—
312	C₂×C₄×C₁₃	—	2	1	no	—
313	C₂×C₄×C₁₃	—	2	1	no	—
314	C₂×C₄×C₁₃	—	2	1	no	—
315	C₂×C₄×C₁₃	—	2	1	no	—
316	C₂×C₄×C₁₃	—	4	1	no	—
317	C₂×C₄×C₁₃	—	4	1	no	—
318	C₂×C₄×C₁₃	—	4	1	no	—
319	C₂×C₄×C₁₃	—	4	1	no	—
320	C₂×C₄×C₁₃	—	4	1	no	—
321	C₂×C₄×C₁₃	—	4	1	no	—
322	C₂×C₄×C₁₃	—	4	1	no	—
323	C₂×C₄×C₁₃	—	4	1	no	—
324	C₂×C₄×C₁₃	—	4	1	no	—
325	C₂×C₄×C₁₃	—	4	1	no	—
326	C₂×C₄×C₁₃	—	4	1	no	—
327	C₂×C₄×C₁₃	—	4	1	no	—
328	C₂×C₄×C₁₃	—	4	1	no	—
329	C₂×C₄×C₁₃	—	4	1	no	—
330	C₂×C₄×C₁₃	—	4	1	no	—
331	C₂×C₄×C₁₃	—	4	1	no	—
332	C₂×C₄×C₁₃	—	4	1	no	—
333	C₂×C₄×C₁₃	—	4	1	no	—
334	C₂×C₄×C₁₃	—	8	4	no	—
335	C₂×C₄×C₁₃	#121	1	2	yes	—
336	C₂×C₄×C₁₃	#121	1	2	yes	—
337	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
338	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
339	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
340	C₂×C₄×C₁₃	C₂×#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	C₈×C₁₃	—	2	2	no	—
344	C₈×C₁₃	—	2	2	no	—
345	C₈×C₁₃	—	4	1	no	—
346	C₈×C₁₃	—	4	1	no	—
347	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
348	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
349	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
350	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
351	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
352	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
353	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
354	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
355	#459	—	2	4	no	—
356	#433	—	2	4	no	—
357	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
358	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
359	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
360	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
361	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
362	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
363	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
364	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
365	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
366	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
367	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
368	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
369	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
370	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
371	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
372	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
373	#394	—	2	1	no	—
374	#394	—	2	1	no	—
375	#392	—	2	1	no	—
376	#392	—	2	1	no	—
377	#390	—	2	1	no	—
378	#390	C₂²×C₁₃	1	1	yes	characteristic
379	#390	C₂²×C₁₃	1	1	yes	characteristic
380	#390	C₂²×C₁₃	1	1	yes	characteristic
381	#389	C₂²×C₁₃	1	1	yes	characteristic
382	#388	—	2	1	no	—
383	#386	—	2	1	no	—
384	#385	—	2	1	no	—
385	#382	C₂²×C₁₃	1	1	yes	characteristic
386	#380	C₂²×C₁₃	1	1	yes	characteristic
387	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
388	#340	C₂²×C₁₃	1	1	yes	characteristic
389	#340	C₂²×C₁₃	1	1	yes	characteristic
390	#340	C₂²×C₁₃	1	1	yes	characteristic
391	#340	C₂²×C₁₃	1	1	yes	characteristic
392	C₂²×C₁₃	—	4	1	no	—
393	C₂²×C₁₃	—	4	2	no	—
394	C₂²×C₁₃	—	4	1	no	—
395	C₂²×C₁₃	—	4	2	no	—
396	C₂²×C₁₃	—	4	1	no	—
397	C₂²×C₁₃	—	4	2	no	—
398	C₂²×C₁₃	—	4	1	no	—
399	C₂²×C₁₃	—	4	1	no	—
400	C₂²×C₁₃	—	4	1	no	—
401	C₂²×C₁₃	—	4	1	no	—
402	C₂²×C₁₃	—	8	1	no	—
403	C₂²×C₁₃	—	8	1	no	—
404	C₂²×C₁₃	—	8	1	no	—
405	C₂²×C₁₃	—	8	1	no	—
406	C₂²×C₁₃	—	8	1	no	—
407	C₂²×C₁₃	—	8	1	no	—
408	C₂²×C₁₃	—	8	1	no	—
409	C₂²×C₁₃	—	8	1	no	—
410	C₂²×C₁₃	—	8	1	no	—
411	C₂²×C₁₃	—	8	1	no	—
412	C₂²×C₁₃	—	8	1	no	—
413	C₂²×C₁₃	—	8	1	no	—
414	C₂²×C₁₃	—	8	1	no	—
415	C₂²×C₁₃	—	8	1	no	—
416	C₂²×C₁₃	—	8	1	no	—
417	C₂²×C₁₃	—	8	1	no	—
418	C₂²×C₁₃	—	8	1	no	—
419	C₂²×C₁₃	—	8	1	no	—
420	C₂²×C₁₃	C₂×#121	1	1	yes	characteristic
421	C₂²×C₁₃	#525	1	1	yes	characteristic
422	C₂²×C₁₃	#535	1	1	yes	characteristic
423	C₂²×C₁₃	#576	1	1	yes	characteristic
424	C₂²×C₁₃	#576	1	1	yes	characteristic
425	C₂²×C₁₃	#576	1	1	yes	characteristic
426	C₂²×C₁₃	#577	1	1	yes	characteristic
427	C₄×C₁₃	—	2	2	no	—
428	C₄×C₁₃	—	2	2	no	—
429	C₄×C₁₃	—	4	2	no	—
430	C₄×C₁₃	—	4	1	no	—
431	C₄×C₁₃	—	4	1	no	—
432	C₄×C₁₃	—	4	1	no	—
433	C₄×C₁₃	—	8	1	no	—
434	C₄×C₁₃	—	8	1	no	—
435	C₄×C₁₃	—	8	1	no	—
436	C₄×C₁₃	—	8	1	no	—
437	C₄×C₁₃	#546	1	1	yes	characteristic
438	C₄×C₁₃	#550	1	1	yes	characteristic
439	C₄×C₁₃	#553	1	1	yes	characteristic
440	C₄×C₁₃	#555	1	1	yes	characteristic
441	C₂²×D₄	—	2	1	no	—
442	C₂²×D₄	—	2	1	no	—
443	C₂²×D₄	—	2	1	no	—
444	C₂²×D₄	—	2	1	no	—
445	C₂²×D₄	—	2	1	no	—
446	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
447	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
448	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
449	C₂³×C₄	—	2	1	no	—
450	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
451	C₂×D₈	—	2	2	no	—
452	C₂×D₈	—	2	2	no	—
453	C₂×D₈	—	2	2	no	—
454	C₂×D₈	—	2	2	no	—
455	C₂×D₈	—	4	1	no	—
456	C₂×D₈	—	4	1	no	—
457	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
458	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
459	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
460	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
461	#127	—	2	2	no	—
462	#127	—	2	2	no	—
463	#121	—	2	2	no	—
464	#121	—	2	2	no	—
465	#121	—	4	1	no	—
466	#121	—	4	1	no	—
467	#121	—	4	1	no	—
468	#121	—	4	1	no	—
469	C₄×D₄	—	2	2	no	—
470	C₄×D₄	—	2	2	no	—
471	#117	—	2	2	no	—
472	#117	—	2	2	no	—
473	C₂×C₄⋊C₄	—	2	1	no	—
474	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
475	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
476	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
477	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
478	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
479	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
480	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
481	C₂×C₂²⋊C₄	—	2	1	no	—
482	C₂×C₂²⋊C₄	—	2	1	no	—
483	C₂×C₂²⋊C₄	—	2	1	no	—
484	C₂×C₂²⋊C₄	—	2	1	no	—
485	C₂×C₂²⋊C₄	—	2	1	no	—
486	C₂×C₂²⋊C₄	—	2	1	no	—
487	C₂×C₂²⋊C₄	—	2	1	no	—
488	C₂×C₂²⋊C₄	—	2	1	no	—
489	C₂×C₂²⋊C₄	—	2	1	no	—
490	C₂×C₂²⋊C₄	—	2	1	no	—
491	C₂×C₂²⋊C₄	—	2	1	no	—
492	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
493	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
494	C₂×C₄²	—	2	1	no	—
495	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
496	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
497	#107	—	4	1	no	—
498	#106	—	4	1	no	—
499	C₄⋊C₈	—	2	2	no	—
500	C₄⋊C₈	D₄×C₁₃	1	4	yes	complemented
501	#102	—	2	2	no	—
502	#102	—	2	2	no	—
503	#102	—	2	2	no	—
504	#102	—	2	2	no	—
505	#102	—	4	1	no	—
506	#102	—	4	1	no	—
507	#102	—	4	1	no	—
508	#102	—	4	1	no	—
509	C₂²⋊C₈	—	2	2	no	—
510	C₂²⋊C₈	—	2	2	no	—
511	#97	—	2	2	no	—
512	C₄×C₈	—	2	2	no	—
513	#95	—	2	1	no	—
514	#95	—	2	1	no	—
515	#95	—	2	1	no	—
516	#95	—	2	1	no	—
517	#95	—	2	1	no	—
518	C₂×C₁₃	—	8	1	no	—
519	C₂×C₁₃	—	8	2	no	—
520	C₂×C₁₃	—	16	1	no	—
521	C₂×C₁₃	—	16	1	no	—
522	C₂×C₁₃	#2414	1	1	yes	characteristic
523	C₂×C₁₃	#3058	1	1	yes	characteristic
524	C₂×C₁₃	#3062	1	1	yes	characteristic
525	C₂×C₁₃	#3119	1	1	yes	characteristic
526	C₂×C₁₃	#3122	1	1	yes	characteristic
527	C₂×C₁₃	#3220	1	1	yes	characteristic
528	C₂×C₁₃	#3224	1	1	yes	characteristic
529	C₂⁴	—	2	1	no	—
530	C₂⁴	—	2	1	no	—
531	C₂⁴	—	2	1	no	—
532	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
533	C₂×D₄	—	2	4	no	—
534	C₂×D₄	—	2	1	no	—
535	C₂×D₄	—	2	1	no	—
536	C₂×D₄	—	2	1	no	—
537	C₂×D₄	—	2	1	no	—
538	C₂×D₄	—	2	1	no	—
539	C₂×D₄	—	2	1	no	—
540	C₂×D₄	—	2	1	no	—
541	C₂×D₄	—	2	1	no	—
542	C₂×D₄	—	2	1	no	—
543	C₂×D₄	—	2	1	no	—
544	C₂×D₄	—	2	1	no	—
545	C₂×D₄	—	2	1	no	—
546	C₂×D₄	—	2	1	no	—
547	C₂×D₄	—	2	1	no	—
548	C₂×D₄	—	2	1	no	—
549	C₂×D₄	—	2	1	no	—
550	C₂×D₄	—	2	1	no	—
551	C₂×D₄	—	4	2	no	—
552	C₂×D₄	—	4	2	no	—
553	C₂×D₄	—	4	2	no	—
554	C₂×D₄	—	4	2	no	—
555	C₂×D₄	—	8	1	no	—
556	C₂×D₄	—	8	1	no	—
557	C₂×D₄	—	8	1	no	—
558	C₂×D₄	—	8	1	no	—
559	C₂×D₄	—	8	1	no	—
560	C₂×D₄	—	8	1	no	—
561	C₂×D₄	—	8	1	no	—
562	C₂×D₄	—	8	1	no	—
563	C₂×D₄	—	8	1	no	—
564	C₂×D₄	—	8	1	no	—
565	C₂×D₄	C₁₃×#41	1	2	yes	—
566	C₂²×C₄	—	2	1	no	—
567	C₂²×C₄	—	2	1	no	—
568	C₂²×C₄	—	2	1	no	—
569	C₂²×C₄	—	2	1	no	—
570	C₂²×C₄	—	2	1	no	—
571	C₂²×C₄	—	2	1	no	—
572	C₂²×C₄	—	2	1	no	—
573	C₂²×C₄	—	2	1	no	—
574	C₂²×C₄	—	2	1	no	—
575	C₂²×C₄	—	2	1	no	—
576	C₂²×C₄	—	2	1	no	—
577	C₂²×C₄	—	4	2	no	—
578	C₂²×C₄	—	8	1	no	—
579	C₂²×C₄	—	8	1	no	—
580	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
581	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
582	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
583	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
584	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
585	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
586	D₈	—	4	4	no	—
587	D₈	—	4	4	no	—
588	C₂×C₈	—	2	1	no	—
589	C₂×C₈	—	2	1	no	—
590	C₂×C₈	—	2	1	no	—
591	C₂×C₈	—	2	1	no	—
592	C₂×C₈	—	2	1	no	—
593	C₂×C₈	—	2	1	no	—
594	C₂×C₈	—	2	1	no	—
595	C₂×C₈	—	2	1	no	—
596	C₂×C₈	—	2	1	no	—
597	C₂×C₈	—	2	1	no	—
598	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
599	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
600	C₄⋊C₄	—	2	2	no	—
601	C₄⋊C₄	—	2	2	no	—
602	C₄⋊C₄	—	2	1	no	—
603	C₄⋊C₄	—	2	1	no	—
604	C₄⋊C₄	—	2	1	no	—
605	C₄⋊C₄	—	2	1	no	—
606	C₄⋊C₄	—	2	1	no	—
607	C₄⋊C₄	—	2	1	no	—
608	C₄⋊C₄	—	2	1	no	—
609	C₄⋊C₄	—	2	1	no	—
610	C₄⋊C₄	—	2	1	no	—
611	C₄⋊C₄	—	8	1	no	—
612	C₄⋊C₄	C₁₃×#41	1	2	yes	—
613	C₂²⋊C₄	—	2	4	no	—
614	C₂²⋊C₄	—	2	2	no	—
615	C₂²⋊C₄	—	2	2	no	—
616	C₂²⋊C₄	—	4	2	no	—
617	C₂²⋊C₄	—	4	2	no	—
618	C₂²⋊C₄	—	4	2	no	—
619	C₂²⋊C₄	—	8	1	no	—
620	C₂²⋊C₄	—	8	1	no	—
621	C₂²⋊C₄	—	8	1	no	—
622	C₂²⋊C₄	—	8	1	no	—
623	C₂²⋊C₄	—	8	1	no	—
624	C₂²⋊C₄	—	8	1	no	—
625	C₂²⋊C₄	—	8	1	no	—
626	C₄²	—	2	1	no	—
627	C₄²	—	2	1	no	—
628	C₄²	—	8	1	no	—
629	C₄²	C₂×D₄×C₁₃	1	2	yes	—
630	C₄²	C₁₃×#41	1	2	yes	—
631	C₁₃	#24662	1	1	yes	characteristic, direct product factor, Sylow
632	C₂³	—	2	1	no	—
633	C₂³	—	2	2	no	—
634	C₂³	—	2	1	no	—
635	C₂³	—	2	1	no	—
636	C₂³	—	2	1	no	—
637	C₂³	—	2	1	no	—
638	C₂³	—	2	1	no	—
639	C₂³	—	2	1	no	—
640	C₂³	—	4	1	no	—
641	C₂³	—	4	1	no	—
642	C₂³	—	4	1	no	—
643	C₂³	—	4	1	no	—
644	C₂³	—	4	1	no	—
645	C₂³	—	4	1	no	—
646	C₂³	—	4	1	no	—
647	C₂³	—	4	1	no	—
648	C₂³	—	4	1	no	—
649	C₂³	—	4	1	no	—
650	C₂³	—	4	1	no	—
651	C₂³	—	4	1	no	—
652	C₂³	—	4	1	no	—
653	C₂³	—	4	1	no	—
654	C₂³	—	4	1	no	—
655	C₂³	—	4	1	no	—
656	C₂³	—	4	1	no	—
657	C₂³	—	4	1	no	—
658	C₂³	—	4	1	no	—
659	C₂³	—	4	1	no	—
660	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
661	D₄	—	2	2	no	—
662	D₄	—	2	2	no	—
663	D₄	—	4	1	no	—
664	D₄	—	4	1	no	—
665	D₄	—	4	1	no	—
666	D₄	—	4	1	no	—
667	D₄	—	4	1	no	—
668	D₄	—	4	1	no	—
669	D₄	—	4	1	no	—
670	D₄	—	4	1	no	—
671	D₄	—	4	1	no	—
672	D₄	—	4	1	no	—
673	D₄	—	8	4	no	—
674	D₄	—	8	4	no	—
675	D₄	—	8	4	no	—
676	D₄	—	8	4	no	—
677	D₄	—	8	4	no	—
678	C₂×C₄	—	2	1	no	—
679	C₂×C₄	—	2	1	no	—
680	C₂×C₄	—	2	1	no	—
681	C₂×C₄	—	2	1	no	—
682	C₂×C₄	—	2	1	no	—
683	C₂×C₄	—	2	1	no	—
684	C₂×C₄	—	2	1	no	—
685	C₂×C₄	—	2	1	no	—
686	C₂×C₄	—	2	2	no	—
687	C₂×C₄	—	2	1	no	—
688	C₂×C₄	—	2	1	no	—
689	C₂×C₄	—	2	1	no	—
690	C₂×C₄	—	2	1	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	4	1	no	—
693	C₂×C₄	—	4	1	no	—
694	C₂×C₄	—	4	1	no	—
695	C₂×C₄	—	4	1	no	—
696	C₂×C₄	—	4	1	no	—
697	C₂×C₄	—	4	1	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	1	no	—
701	C₂×C₄	—	4	1	no	—
702	C₂×C₄	—	4	1	no	—
703	C₂×C₄	—	4	1	no	—
704	C₂×C₄	—	4	1	no	—
705	C₂×C₄	—	4	1	no	—
706	C₂×C₄	—	4	1	no	—
707	C₂×C₄	—	4	1	no	—
708	C₂×C₄	—	4	1	no	—
709	C₂×C₄	—	4	1	no	—
710	C₂×C₄	—	8	4	no	—
711	C₂×C₄	C₁₃×#121	1	2	yes	—
712	C₂×C₄	C₁₃×#121	1	2	yes	—
713	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
714	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
715	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
716	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
717	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
718	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
719	C₈	—	2	2	no	—
720	C₈	—	2	2	no	—
721	C₈	—	4	1	no	—
722	C₈	—	4	1	no	—
723	C₂²	—	4	1	no	—
724	C₂²	—	4	1	no	—
725	C₂²	—	4	1	no	—
726	C₂²	—	4	2	no	—
727	C₂²	—	4	1	no	—
728	C₂²	—	4	2	no	—
729	C₂²	—	4	1	no	—
730	C₂²	—	4	2	no	—
731	C₂²	—	4	1	no	—
732	C₂²	—	4	1	no	—
733	C₂²	—	8	1	no	—
734	C₂²	—	8	1	no	—
735	C₂²	—	8	1	no	—
736	C₂²	—	8	1	no	—
737	C₂²	—	8	1	no	—
738	C₂²	—	8	1	no	—
739	C₂²	—	8	1	no	—
740	C₂²	—	8	1	no	—
741	C₂²	—	8	1	no	—
742	C₂²	—	8	1	no	—
743	C₂²	—	8	1	no	—
744	C₂²	—	8	1	no	—
745	C₂²	—	8	1	no	—
746	C₂²	—	8	1	no	—
747	C₂²	—	8	1	no	—
748	C₂²	—	8	1	no	—
749	C₂²	—	8	1	no	—
750	C₂²	—	8	1	no	—
751	C₂²	C₂×C₁₃×#121	1	1	yes	characteristic
752	C₂²	C₁₃×#525	1	1	yes	characteristic
753	C₂²	C₁₃×#535	1	1	yes	characteristic
754	C₂²	C₁₃×#576	1	1	yes	characteristic
755	C₂²	C₁₃×#576	1	1	yes	characteristic
756	C₂²	C₁₃×#576	1	1	yes	characteristic
757	C₂²	C₁₃×#577	1	1	yes	characteristic
758	C₄	—	2	2	no	—
759	C₄	—	2	2	no	—
760	C₄	—	4	1	no	—
761	C₄	—	4	1	no	—
762	C₄	—	4	2	no	—
763	C₄	—	4	1	no	—
764	C₄	—	8	1	no	—
765	C₄	—	8	1	no	—
766	C₄	—	8	1	no	—
767	C₄	—	8	1	no	—
768	C₄	C₁₃×#546	1	1	yes	characteristic
769	C₄	C₁₃×#550	1	1	yes	characteristic
770	C₄	C₁₃×#553	1	1	yes	characteristic
771	C₄	C₁₃×#555	1	1	yes	characteristic
772	C₂	—	8	1	no	—
773	C₂	—	8	2	no	—
774	C₂	—	16	1	no	—
775	C₂	—	16	1	no	—
776	C₂	C₁₃×#2414	1	1	yes	characteristic
777	C₂	C₁₃×#3058	1	1	yes	characteristic
778	C₂	C₁₃×#3062	1	1	yes	characteristic
779	C₂	C₁₃×#3119	1	1	yes	characteristic
780	C₂	C₁₃×#3122	1	1	yes	characteristic
781	C₂	C₁₃×#3220	1	1	yes	characteristic
782	C₂	C₁₃×#3224	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ C₂×C₁₃×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#459	C₂	semidirect
2. C₂×C₁₃×#433	C₂	semidirect
3. C₁₃×#2619	C₂	semidirect
4. C₁₃×#2324	C₂	semidirect
5. C₁₃×#2034	C₂	semidirect
6. C₁₃×#2033	C₂	semidirect
7. C₁₃×#1999	C₂	semidirect
8. C₁₃×#1999	C₂	semidirect
9. C₁₃×#1982	C₂	semidirect
10. C₁₃×#1972	C₂	semidirect
11. C₁₃×#1970	C₂	semidirect
12. C₁₃×#1949	C₂	semidirect
13. C₁₃×#1936	C₂	semidirect
14. C₁₃×#1934	C₂	semidirect
15. C₁₃×#1804	C₂	semidirect
120. C₁₃×C₄⋊C₈	D₄	semidirect
138. #24662	C₁₃	direct (N × H)
241. C₂×#459	C₂×C₁₃	semidirect
242. C₂×#433	C₂×C₁₃	semidirect
243. #2619	C₂×C₁₃	semidirect
244. #2324	C₂×C₁₃	semidirect
245. #2034	C₂×C₁₃	semidirect
246. #2033	C₂×C₁₃	semidirect
247. #1999	C₂×C₁₃	semidirect
248. #1999	C₂×C₁₃	semidirect
249. #1982	C₂×C₁₃	semidirect
250. #1972	C₂×C₁₃	semidirect
251. #1970	C₂×C₁₃	semidirect
252. #1949	C₂×C₁₃	semidirect
253. #1936	C₂×C₁₃	semidirect
254. #1934	C₂×C₁₃	semidirect
255. #1804	C₂×C₁₃	semidirect
500. C₄⋊C₈	D₄×C₁₃	semidirect
631. C₁₃	#24662	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×#459	2
C₂×C₁₃×#433	2
C₁₃×#2619	2
C₁₃×#2324	2
C₁₃×#2034	2
C₁₃×#2033	2
C₁₃×#1999	2
C₁₃×#1982	2
C₁₃×#1972	2
C₁₃×#1970	2
C₁₃×#1949	2
C₁₃×#1936	2
C₁₃×#1934	2
C₁₃×#1804	2
#24662	13

Subgroups — C13×#24662 #15711001

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#24662 #15711001