Subgroups — C₁₃×#26984 #15713323

Order 3328.

1050 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#469	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₃×#442	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2428	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2422	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2084	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2034	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2011	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#1999	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1957	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#1936	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1934	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#1895	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#1879	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1864	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1753	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	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
19	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
20	C₂×C₁₃×#123	—	2	1	no	—
21	C₂×C₁₃×#121	—	2	1	no	—
22	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
23	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
24	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
25	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
26	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
27	C₁₃×#469	—	2	4	no	—
28	C₁₃×#442	—	2	4	no	—
29	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
30	C₂×C₁₃×#106	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×#102	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×#397	—	2	1	no	—
43	C₁₃×#394	—	2	1	no	—
44	C₁₃×#394	—	2	1	no	—
45	C₁₃×#392	—	2	1	no	—
46	C₁₃×#390	C₂²	1	1	yes	characteristic
47	C₁₃×#390	C₂²	1	1	yes	characteristic
48	C₁₃×#389	C₂²	1	1	yes	characteristic
49	C₁₃×#389	C₂²	1	1	yes	characteristic
50	C₁₃×#386	—	2	1	no	—
51	C₁₃×#385	—	2	1	no	—
52	C₁₃×#384	C₂²	1	1	yes	characteristic
53	C₁₃×#380	C₂²	1	1	yes	characteristic
54	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₁₃×#340	C₂²	1	1	yes	characteristic
56	C₁₃×#340	C₂²	1	1	yes	characteristic
57	C₁₃×#340	C₂²	1	1	yes	characteristic
58	C₁₃×#340	C₂²	1	1	yes	characteristic
59	C₁₃×#336	C₂²	1	1	yes	characteristic
60	C₁₃×#336	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	—	2	1	no	—
71	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	2	no	—
76	C₂×C₁₃×D₈	—	2	2	no	—
77	C₂×C₁₃×D₈	—	4	1	no	—
78	C₂×C₁₃×M₁₆	—	2	2	no	—
79	C₂×C₁₃×M₁₆	—	2	2	no	—
80	C₂×C₁₃×M₁₆	—	4	1	no	—
81	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
82	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
83	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
84	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
85	C₁₃×#127	—	2	2	no	—
86	C₁₃×#127	—	4	1	no	—
87	C₁₃×#123	—	4	4	no	—
88	C₁₃×#121	—	2	2	no	—
89	C₁₃×#121	—	2	2	no	—
90	C₁₃×#121	—	2	2	no	—
91	C₁₃×#121	—	4	4	no	—
92	C₁₃×#121	—	4	1	no	—
93	C₁₃×#121	—	4	1	no	—
94	C₁₃×#121	—	4	1	no	—
95	C₄×D₄×C₁₃	—	2	2	no	—
96	C₄×D₄×C₁₃	—	2	2	no	—
97	C₄×D₄×C₁₃	—	4	1	no	—
98	C₄×D₄×C₁₃	—	4	1	no	—
99	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
100	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
101	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
102	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
103	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
104	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
105	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
106	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
107	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
113	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
114	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
115	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
116	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
117	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
118	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
119	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
120	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
121	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
122	C₁₃×#106	—	2	2	no	—
123	C₁₃×#106	—	2	2	no	—
124	C₁₃×#102	—	2	2	no	—
125	C₁₃×#102	—	2	2	no	—
126	C₁₃×#102	—	2	2	no	—
127	C₁₃×#102	—	2	2	no	—
128	C₁₃×#102	—	4	1	no	—
129	C₁₃×#102	—	4	1	no	—
130	C₁₃×#102	—	4	1	no	—
131	C₁₃×#102	D₄	1	4	yes	complemented
132	C₁₃×C₂²⋊C₈	—	2	2	no	—
133	C₁₃×#97	—	2	2	no	—
134	C₄×C₈×C₁₃	—	4	1	no	—
135	C₁₃×#95	—	2	1	no	—
136	C₁₃×#95	—	2	1	no	—
137	C₁₃×#95	—	2	1	no	—
138	C₁₃×#95	D₄	1	1	yes	characteristic
139	C₁₃×#95	D₄	1	1	yes	characteristic
140	#26984	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
141	C₂⁴×C₁₃	—	2	1	no	—
142	C₂⁴×C₁₃	—	2	1	no	—
143	C₂⁴×C₁₃	—	2	1	no	—
144	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
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	—	4	2	no	—
166	C₂×D₄×C₁₃	—	4	2	no	—
167	C₂×D₄×C₁₃	—	4	2	no	—
168	C₂×D₄×C₁₃	—	4	2	no	—
169	C₂×D₄×C₁₃	—	4	2	no	—
170	C₂×D₄×C₁₃	—	4	2	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	—	8	1	no	—
176	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
177	C₂×D₄×C₁₃	#41	1	2	yes	—
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	—	2	1	no	—
188	C₂²×C₄×C₁₃	—	2	1	no	—
189	C₂²×C₄×C₁₃	—	4	2	no	—
190	C₂²×C₄×C₁₃	—	4	2	no	—
191	C₂²×C₄×C₁₃	—	4	2	no	—
192	C₂²×C₄×C₁₃	—	4	2	no	—
193	C₂²×C₄×C₁₃	—	8	1	no	—
194	C₂²×C₄×C₁₃	—	8	1	no	—
195	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
196	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
197	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
198	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
199	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
200	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
201	C₁₃×D₈	—	2	8	no	—
202	C₁₃×D₈	—	4	4	no	—
203	C₁₃×M₁₆	—	4	4	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	—	2	1	no	—
209	C₂×C₈×C₁₃	—	2	1	no	—
210	C₂×C₈×C₁₃	—	2	1	no	—
211	C₂×C₈×C₁₃	—	2	1	no	—
212	C₂×C₈×C₁₃	—	2	1	no	—
213	C₂×C₈×C₁₃	C₂×D₄	1	2	yes	—
214	C₂×C₈×C₁₃	#41	1	2	yes	—
215	C₂×C₈×C₁₃	#41	1	2	yes	—
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	—	2	1	no	—
222	C₁₃×C₄⋊C₄	—	2	1	no	—
223	C₁₃×C₄⋊C₄	—	2	1	no	—
224	C₁₃×C₄⋊C₄	—	2	1	no	—
225	C₁₃×C₄⋊C₄	—	4	2	no	—
226	C₁₃×C₄⋊C₄	—	4	2	no	—
227	C₁₃×C₄⋊C₄	—	4	2	no	—
228	C₁₃×C₄⋊C₄	—	8	1	no	—
229	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
230	C₁₃×C₂²⋊C₄	—	2	2	no	—
231	C₁₃×C₂²⋊C₄	—	2	2	no	—
232	C₁₃×C₂²⋊C₄	—	4	2	no	—
233	C₁₃×C₂²⋊C₄	—	4	2	no	—
234	C₁₃×C₂²⋊C₄	—	4	2	no	—
235	C₁₃×C₂²⋊C₄	—	4	2	no	—
236	C₁₃×C₂²⋊C₄	—	4	2	no	—
237	C₁₃×C₂²⋊C₄	—	4	2	no	—
238	C₁₃×C₂²⋊C₄	—	4	2	no	—
239	C₁₃×C₂²⋊C₄	—	4	2	no	—
240	C₁₃×C₂²⋊C₄	—	4	2	no	—
241	C₁₃×C₂²⋊C₄	—	8	1	no	—
242	C₄²×C₁₃	—	2	1	no	—
243	C₄²×C₁₃	—	2	1	no	—
244	C₄²×C₁₃	—	2	1	no	—
245	C₄²×C₁₃	—	2	1	no	—
246	C₂×#469	C₂×C₁₃	1	1	yes	characteristic, complemented
247	C₂×#442	C₂×C₁₃	1	1	yes	characteristic, complemented
248	#2428	C₂×C₁₃	1	1	yes	characteristic, complemented
249	#2422	C₂×C₁₃	1	1	yes	characteristic, complemented
250	#2084	C₂×C₁₃	1	1	yes	characteristic, complemented
251	#2034	C₂×C₁₃	1	1	yes	characteristic, complemented
252	#2011	C₂×C₁₃	1	1	yes	characteristic, complemented
253	#1999	C₂×C₁₃	1	1	yes	characteristic, complemented
254	#1957	C₂×C₁₃	1	1	yes	characteristic, complemented
255	#1936	C₂×C₁₃	1	1	yes	characteristic, complemented
256	#1934	C₂×C₁₃	1	1	yes	characteristic, complemented
257	#1895	C₂×C₁₃	1	1	yes	characteristic, complemented
258	#1879	C₂×C₁₃	1	1	yes	characteristic, complemented
259	#1864	C₂×C₁₃	1	1	yes	characteristic, complemented
260	#1753	C₂×C₁₃	1	1	yes	characteristic, complemented
261	C₂³×C₁₃	—	2	1	no	—
262	C₂³×C₁₃	—	2	2	no	—
263	C₂³×C₁₃	—	2	1	no	—
264	C₂³×C₁₃	—	2	2	no	—
265	C₂³×C₁₃	—	2	1	no	—
266	C₂³×C₁₃	—	2	1	no	—
267	C₂³×C₁₃	—	2	1	no	—
268	C₂³×C₁₃	—	2	1	no	—
269	C₂³×C₁₃	—	2	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	—	4	1	no	—
285	C₂³×C₁₃	—	4	1	no	—
286	C₂³×C₁₃	—	4	1	no	—
287	C₂³×C₁₃	—	4	1	no	—
288	C₂³×C₁₃	—	4	1	no	—
289	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
290	D₄×C₁₃	—	2	2	no	—
291	D₄×C₁₃	—	2	2	no	—
292	D₄×C₁₃	—	2	2	no	—
293	D₄×C₁₃	—	2	2	no	—
294	D₄×C₁₃	—	4	1	no	—
295	D₄×C₁₃	—	4	1	no	—
296	D₄×C₁₃	—	4	1	no	—
297	D₄×C₁₃	—	4	1	no	—
298	D₄×C₁₃	—	4	1	no	—
299	D₄×C₁₃	—	4	1	no	—
300	D₄×C₁₃	—	4	1	no	—
301	D₄×C₁₃	—	4	1	no	—
302	D₄×C₁₃	—	8	4	no	—
303	D₄×C₁₃	—	8	4	no	—
304	D₄×C₁₃	—	8	4	no	—
305	D₄×C₁₃	—	8	4	no	—
306	D₄×C₁₃	—	8	4	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	1	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	2	no	—
316	C₂×C₄×C₁₃	—	2	1	no	—
317	C₂×C₄×C₁₃	—	2	1	no	—
318	C₂×C₄×C₁₃	—	2	1	no	—
319	C₂×C₄×C₁₃	—	2	1	no	—
320	C₂×C₄×C₁₃	—	2	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	—	4	1	no	—
335	C₂×C₄×C₁₃	—	4	1	no	—
336	C₂×C₄×C₁₃	—	4	1	no	—
337	C₂×C₄×C₁₃	—	4	1	no	—
338	C₂×C₄×C₁₃	—	4	1	no	—
339	C₂×C₄×C₁₃	—	8	4	no	—
340	C₂×C₄×C₁₃	—	8	4	no	—
341	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
342	C₂×C₄×C₁₃	AGL(1,ℤ/8)	1	2	yes	—
343	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
344	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
345	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
346	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
347	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
348	C₂×C₄×C₁₃	H(5,𝔽₂)	1	1	yes	characteristic
349	C₈×C₁₃	—	2	2	no	—
350	C₈×C₁₃	—	2	2	no	—
351	C₈×C₁₃	—	2	2	no	—
352	C₈×C₁₃	—	4	1	no	—
353	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
354	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
355	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
356	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
357	C₂×#123	—	2	1	no	—
358	C₂×#121	—	2	1	no	—
359	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
360	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
361	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
362	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
363	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
364	#469	—	2	4	no	—
365	#442	—	2	4	no	—
366	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
367	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
368	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
369	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
370	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
371	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
372	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
373	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
374	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
375	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
376	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
377	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
378	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
379	#397	—	2	1	no	—
380	#394	—	2	1	no	—
381	#394	—	2	1	no	—
382	#392	—	2	1	no	—
383	#390	C₂²×C₁₃	1	1	yes	characteristic
384	#390	C₂²×C₁₃	1	1	yes	characteristic
385	#389	C₂²×C₁₃	1	1	yes	characteristic
386	#389	C₂²×C₁₃	1	1	yes	characteristic
387	#386	—	2	1	no	—
388	#385	—	2	1	no	—
389	#384	C₂²×C₁₃	1	1	yes	characteristic
390	#380	C₂²×C₁₃	1	1	yes	characteristic
391	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
392	#340	C₂²×C₁₃	1	1	yes	characteristic
393	#340	C₂²×C₁₃	1	1	yes	characteristic
394	#340	C₂²×C₁₃	1	1	yes	characteristic
395	#340	C₂²×C₁₃	1	1	yes	characteristic
396	#336	C₂²×C₁₃	1	1	yes	characteristic
397	#336	C₂²×C₁₃	1	1	yes	characteristic
398	C₂²×C₁₃	—	4	1	no	—
399	C₂²×C₁₃	—	4	1	no	—
400	C₂²×C₁₃	—	4	1	no	—
401	C₂²×C₁₃	—	4	2	no	—
402	C₂²×C₁₃	—	4	2	no	—
403	C₂²×C₁₃	—	4	1	no	—
404	C₂²×C₁₃	—	4	2	no	—
405	C₂²×C₁₃	—	4	2	no	—
406	C₂²×C₁₃	—	4	1	no	—
407	C₂²×C₁₃	—	4	2	no	—
408	C₂²×C₁₃	—	4	1	no	—
409	C₂²×C₁₃	—	4	1	no	—
410	C₂²×C₁₃	—	4	2	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	—	8	1	no	—
421	C₂²×C₁₃	—	8	1	no	—
422	C₂²×C₁₃	—	8	1	no	—
423	C₂²×C₁₃	—	8	1	no	—
424	C₂²×C₁₃	—	8	1	no	—
425	C₂²×C₁₃	—	8	1	no	—
426	C₂²×C₁₃	#532	1	1	yes	characteristic
427	C₂²×C₁₃	D₄²	1	1	yes	characteristic
428	C₂²×C₁₃	#546	1	1	yes	characteristic
429	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
430	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
431	C₂²×C₁₃	#576	1	1	yes	characteristic
432	C₂²×C₁₃	#577	1	1	yes	characteristic
433	C₄×C₁₃	—	2	2	no	—
434	C₄×C₁₃	—	2	2	no	—
435	C₄×C₁₃	—	4	1	no	—
436	C₄×C₁₃	—	4	1	no	—
437	C₄×C₁₃	—	4	2	no	—
438	C₄×C₁₃	—	4	1	no	—
439	C₄×C₁₃	—	8	1	no	—
440	C₄×C₁₃	—	8	1	no	—
441	C₄×C₁₃	—	8	1	no	—
442	C₄×C₁₃	—	8	1	no	—
443	C₄×C₁₃	#525	1	1	yes	characteristic
444	C₄×C₁₃	#540	1	1	yes	characteristic
445	C₄×C₁₃	#546	1	1	yes	characteristic
446	C₄×C₁₃	#553	1	1	yes	characteristic
447	C₂²×D₄	—	2	1	no	—
448	C₂²×D₄	—	2	1	no	—
449	C₂²×D₄	—	2	1	no	—
450	C₂²×D₄	—	2	1	no	—
451	C₂²×D₄	—	2	1	no	—
452	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
453	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
454	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
455	C₂³×C₄	—	2	1	no	—
456	C₂³×C₄	—	2	1	no	—
457	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
458	C₂×D₈	—	2	2	no	—
459	C₂×D₈	—	2	2	no	—
460	C₂×D₈	—	2	2	no	—
461	C₂×D₈	—	2	2	no	—
462	C₂×D₈	—	2	2	no	—
463	C₂×D₈	—	4	1	no	—
464	C₂×M₁₆	—	2	2	no	—
465	C₂×M₁₆	—	2	2	no	—
466	C₂×M₁₆	—	4	1	no	—
467	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
468	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
469	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
470	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
471	#127	—	2	2	no	—
472	#127	—	4	1	no	—
473	#123	—	4	4	no	—
474	#121	—	2	2	no	—
475	#121	—	2	2	no	—
476	#121	—	2	2	no	—
477	#121	—	4	4	no	—
478	#121	—	4	1	no	—
479	#121	—	4	1	no	—
480	#121	—	4	1	no	—
481	C₄×D₄	—	2	2	no	—
482	C₄×D₄	—	2	2	no	—
483	C₄×D₄	—	4	1	no	—
484	C₄×D₄	—	4	1	no	—
485	C₂×C₄⋊C₄	—	2	1	no	—
486	C₂×C₄⋊C₄	—	2	1	no	—
487	C₂×C₄⋊C₄	—	2	1	no	—
488	C₂×C₄⋊C₄	—	2	1	no	—
489	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
490	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
491	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
492	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
493	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
494	C₂×C₂²⋊C₄	—	2	1	no	—
495	C₂×C₂²⋊C₄	—	2	1	no	—
496	C₂×C₂²⋊C₄	—	2	1	no	—
497	C₂×C₂²⋊C₄	—	2	1	no	—
498	C₂×C₂²⋊C₄	—	2	1	no	—
499	C₂×C₂²⋊C₄	—	2	1	no	—
500	C₂×C₂²⋊C₄	—	2	1	no	—
501	C₂×C₂²⋊C₄	—	2	1	no	—
502	C₂×C₂²⋊C₄	—	2	1	no	—
503	C₂×C₂²⋊C₄	—	2	1	no	—
504	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
505	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
506	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
507	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
508	#106	—	2	2	no	—
509	#106	—	2	2	no	—
510	#102	—	2	2	no	—
511	#102	—	2	2	no	—
512	#102	—	2	2	no	—
513	#102	—	2	2	no	—
514	#102	—	4	1	no	—
515	#102	—	4	1	no	—
516	#102	—	4	1	no	—
517	#102	D₄×C₁₃	1	4	yes	complemented
518	C₂²⋊C₈	—	2	2	no	—
519	#97	—	2	2	no	—
520	C₄×C₈	—	4	1	no	—
521	#95	—	2	1	no	—
522	#95	—	2	1	no	—
523	#95	—	2	1	no	—
524	#95	D₄×C₁₃	1	1	yes	characteristic
525	#95	D₄×C₁₃	1	1	yes	characteristic
526	C₂×C₁₃	—	8	1	no	—
527	C₂×C₁₃	—	8	2	no	—
528	C₂×C₁₃	—	8	2	no	—
529	C₂×C₁₃	—	16	1	no	—
530	C₂×C₁₃	#2464	1	1	yes	characteristic
531	C₂×C₁₃	#3179	1	1	yes	characteristic
532	C₂×C₁₃	#3184	1	1	yes	characteristic
533	C₂×C₁₃	#3272	1	1	yes	characteristic
534	C₂×C₁₃	#3274	1	1	yes	characteristic
535	C₂×C₁₃	#3306	1	1	yes	characteristic
536	C₂×C₁₃	#3318	1	1	yes	characteristic
537	C₂⁴	—	2	1	no	—
538	C₂⁴	—	2	1	no	—
539	C₂⁴	—	2	1	no	—
540	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
552	C₂×D₄	—	2	1	no	—
553	C₂×D₄	—	2	1	no	—
554	C₂×D₄	—	2	1	no	—
555	C₂×D₄	—	2	1	no	—
556	C₂×D₄	—	2	1	no	—
557	C₂×D₄	—	4	2	no	—
558	C₂×D₄	—	4	2	no	—
559	C₂×D₄	—	4	2	no	—
560	C₂×D₄	—	4	2	no	—
561	C₂×D₄	—	4	2	no	—
562	C₂×D₄	—	4	2	no	—
563	C₂×D₄	—	4	2	no	—
564	C₂×D₄	—	4	2	no	—
565	C₂×D₄	—	4	2	no	—
566	C₂×D₄	—	4	2	no	—
567	C₂×D₄	—	8	1	no	—
568	C₂×D₄	—	8	1	no	—
569	C₂×D₄	—	8	1	no	—
570	C₂×D₄	—	8	1	no	—
571	C₂×D₄	—	8	1	no	—
572	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
573	C₂×D₄	C₁₃×#41	1	2	yes	—
574	C₂²×C₄	—	2	1	no	—
575	C₂²×C₄	—	2	1	no	—
576	C₂²×C₄	—	2	1	no	—
577	C₂²×C₄	—	2	1	no	—
578	C₂²×C₄	—	2	1	no	—
579	C₂²×C₄	—	2	1	no	—
580	C₂²×C₄	—	2	1	no	—
581	C₂²×C₄	—	2	1	no	—
582	C₂²×C₄	—	2	1	no	—
583	C₂²×C₄	—	2	1	no	—
584	C₂²×C₄	—	2	1	no	—
585	C₂²×C₄	—	4	2	no	—
586	C₂²×C₄	—	4	2	no	—
587	C₂²×C₄	—	4	2	no	—
588	C₂²×C₄	—	4	2	no	—
589	C₂²×C₄	—	8	1	no	—
590	C₂²×C₄	—	8	1	no	—
591	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
592	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
593	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
594	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
595	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
596	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
597	D₈	—	2	8	no	—
598	D₈	—	4	4	no	—
599	M₁₆	—	4	4	no	—
600	C₂×C₈	—	2	1	no	—
601	C₂×C₈	—	2	1	no	—
602	C₂×C₈	—	2	1	no	—
603	C₂×C₈	—	2	1	no	—
604	C₂×C₈	—	2	1	no	—
605	C₂×C₈	—	2	1	no	—
606	C₂×C₈	—	2	1	no	—
607	C₂×C₈	—	2	1	no	—
608	C₂×C₈	—	2	1	no	—
609	C₂×C₈	C₂×D₄×C₁₃	1	2	yes	—
610	C₂×C₈	C₁₃×#41	1	2	yes	—
611	C₂×C₈	C₁₃×#41	1	2	yes	—
612	C₄⋊C₄	—	2	1	no	—
613	C₄⋊C₄	—	2	1	no	—
614	C₄⋊C₄	—	2	1	no	—
615	C₄⋊C₄	—	2	1	no	—
616	C₄⋊C₄	—	2	1	no	—
617	C₄⋊C₄	—	2	1	no	—
618	C₄⋊C₄	—	2	1	no	—
619	C₄⋊C₄	—	2	1	no	—
620	C₄⋊C₄	—	2	1	no	—
621	C₄⋊C₄	—	4	2	no	—
622	C₄⋊C₄	—	4	2	no	—
623	C₄⋊C₄	—	4	2	no	—
624	C₄⋊C₄	—	8	1	no	—
625	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
626	C₂²⋊C₄	—	2	2	no	—
627	C₂²⋊C₄	—	2	2	no	—
628	C₂²⋊C₄	—	4	2	no	—
629	C₂²⋊C₄	—	4	2	no	—
630	C₂²⋊C₄	—	4	2	no	—
631	C₂²⋊C₄	—	4	2	no	—
632	C₂²⋊C₄	—	4	2	no	—
633	C₂²⋊C₄	—	4	2	no	—
634	C₂²⋊C₄	—	4	2	no	—
635	C₂²⋊C₄	—	4	2	no	—
636	C₂²⋊C₄	—	4	2	no	—
637	C₂²⋊C₄	—	8	1	no	—
638	C₄²	—	2	1	no	—
639	C₄²	—	2	1	no	—
640	C₄²	—	2	1	no	—
641	C₄²	—	2	1	no	—
642	C₁₃	#26984	1	1	yes	characteristic, direct product factor, Sylow
643	C₂³	—	2	1	no	—
644	C₂³	—	2	2	no	—
645	C₂³	—	2	1	no	—
646	C₂³	—	2	2	no	—
647	C₂³	—	2	1	no	—
648	C₂³	—	2	1	no	—
649	C₂³	—	2	1	no	—
650	C₂³	—	2	1	no	—
651	C₂³	—	2	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	—	4	1	no	—
661	C₂³	—	4	1	no	—
662	C₂³	—	4	1	no	—
663	C₂³	—	4	1	no	—
664	C₂³	—	4	1	no	—
665	C₂³	—	4	1	no	—
666	C₂³	—	4	1	no	—
667	C₂³	—	4	1	no	—
668	C₂³	—	4	1	no	—
669	C₂³	—	4	1	no	—
670	C₂³	—	4	1	no	—
671	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
672	D₄	—	2	2	no	—
673	D₄	—	2	2	no	—
674	D₄	—	2	2	no	—
675	D₄	—	2	2	no	—
676	D₄	—	4	1	no	—
677	D₄	—	4	1	no	—
678	D₄	—	4	1	no	—
679	D₄	—	4	1	no	—
680	D₄	—	4	1	no	—
681	D₄	—	4	1	no	—
682	D₄	—	4	1	no	—
683	D₄	—	4	1	no	—
684	D₄	—	8	4	no	—
685	D₄	—	8	4	no	—
686	D₄	—	8	4	no	—
687	D₄	—	8	4	no	—
688	D₄	—	8	4	no	—
689	C₂×C₄	—	2	1	no	—
690	C₂×C₄	—	2	1	no	—
691	C₂×C₄	—	2	1	no	—
692	C₂×C₄	—	2	1	no	—
693	C₂×C₄	—	2	1	no	—
694	C₂×C₄	—	2	1	no	—
695	C₂×C₄	—	2	1	no	—
696	C₂×C₄	—	2	1	no	—
697	C₂×C₄	—	2	2	no	—
698	C₂×C₄	—	2	1	no	—
699	C₂×C₄	—	2	1	no	—
700	C₂×C₄	—	2	1	no	—
701	C₂×C₄	—	2	1	no	—
702	C₂×C₄	—	2	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	—	4	1	no	—
711	C₂×C₄	—	4	1	no	—
712	C₂×C₄	—	4	1	no	—
713	C₂×C₄	—	4	1	no	—
714	C₂×C₄	—	4	1	no	—
715	C₂×C₄	—	4	1	no	—
716	C₂×C₄	—	4	1	no	—
717	C₂×C₄	—	4	1	no	—
718	C₂×C₄	—	4	1	no	—
719	C₂×C₄	—	4	1	no	—
720	C₂×C₄	—	4	1	no	—
721	C₂×C₄	—	8	4	no	—
722	C₂×C₄	—	8	4	no	—
723	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	2	yes	—
724	C₂×C₄	C₁₃×AGL(1,ℤ/8)	1	2	yes	—
725	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
726	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
727	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
728	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
729	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
730	C₂×C₄	C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
731	C₈	—	2	2	no	—
732	C₈	—	2	2	no	—
733	C₈	—	2	2	no	—
734	C₈	—	4	1	no	—
735	C₂²	—	4	1	no	—
736	C₂²	—	4	2	no	—
737	C₂²	—	4	2	no	—
738	C₂²	—	4	1	no	—
739	C₂²	—	4	2	no	—
740	C₂²	—	4	1	no	—
741	C₂²	—	4	1	no	—
742	C₂²	—	4	2	no	—
743	C₂²	—	4	1	no	—
744	C₂²	—	4	1	no	—
745	C₂²	—	4	1	no	—
746	C₂²	—	4	2	no	—
747	C₂²	—	4	2	no	—
748	C₂²	—	8	1	no	—
749	C₂²	—	8	1	no	—
750	C₂²	—	8	1	no	—
751	C₂²	—	8	1	no	—
752	C₂²	—	8	1	no	—
753	C₂²	—	8	1	no	—
754	C₂²	—	8	1	no	—
755	C₂²	—	8	1	no	—
756	C₂²	—	8	1	no	—
757	C₂²	—	8	1	no	—
758	C₂²	—	8	1	no	—
759	C₂²	—	8	1	no	—
760	C₂²	—	8	1	no	—
761	C₂²	—	8	1	no	—
762	C₂²	—	8	1	no	—
763	C₂²	C₁₃×#532	1	1	yes	characteristic
764	C₂²	D₄²×C₁₃	1	1	yes	characteristic
765	C₂²	C₁₃×#546	1	1	yes	characteristic
766	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
767	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
768	C₂²	C₁₃×#576	1	1	yes	characteristic
769	C₂²	C₁₃×#577	1	1	yes	characteristic
770	C₄	—	2	2	no	—
771	C₄	—	2	2	no	—
772	C₄	—	4	1	no	—
773	C₄	—	4	2	no	—
774	C₄	—	4	1	no	—
775	C₄	—	4	1	no	—
776	C₄	—	8	1	no	—
777	C₄	—	8	1	no	—
778	C₄	—	8	1	no	—
779	C₄	—	8	1	no	—
780	C₄	C₁₃×#525	1	1	yes	characteristic
781	C₄	C₁₃×#540	1	1	yes	characteristic
782	C₄	C₁₃×#546	1	1	yes	characteristic
783	C₄	C₁₃×#553	1	1	yes	characteristic
784	C₂	—	8	1	no	—
785	C₂	—	8	2	no	—
786	C₂	—	8	2	no	—
787	C₂	—	16	1	no	—
788	C₂	C₁₃×#2464	1	1	yes	characteristic
789	C₂	C₁₃×#3179	1	1	yes	characteristic
790	C₂	C₁₃×#3184	1	1	yes	characteristic
791	C₂	C₁₃×#3272	1	1	yes	characteristic
792	C₂	C₁₃×#3274	1	1	yes	characteristic
793	C₂	C₁₃×#3306	1	1	yes	characteristic
794	C₂	C₁₃×#3318	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 ◁ C₄×C₁₃×C₂²⋊C₄ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#469	C₂	semidirect
2. C₂×C₁₃×#442	C₂	semidirect
3. C₁₃×#2428	C₂	semidirect
4. C₁₃×#2422	C₂	semidirect
5. C₁₃×#2084	C₂	semidirect
6. C₁₃×#2034	C₂	semidirect
7. C₁₃×#2011	C₂	semidirect
8. C₁₃×#1999	C₂	semidirect
9. C₁₃×#1957	C₂	semidirect
10. C₁₃×#1936	C₂	semidirect
11. C₁₃×#1934	C₂	semidirect
12. C₁₃×#1895	C₂	semidirect
13. C₁₃×#1879	C₂	semidirect
14. C₁₃×#1864	C₂	semidirect
15. C₁₃×#1753	C₂	semidirect
131. C₁₃×#102	D₄	semidirect
140. #26984	C₁₃	direct (N × H)
246. C₂×#469	C₂×C₁₃	semidirect
247. C₂×#442	C₂×C₁₃	semidirect
248. #2428	C₂×C₁₃	semidirect
249. #2422	C₂×C₁₃	semidirect
250. #2084	C₂×C₁₃	semidirect
251. #2034	C₂×C₁₃	semidirect
252. #2011	C₂×C₁₃	semidirect
253. #1999	C₂×C₁₃	semidirect
254. #1957	C₂×C₁₃	semidirect
255. #1936	C₂×C₁₃	semidirect
256. #1934	C₂×C₁₃	semidirect
257. #1895	C₂×C₁₃	semidirect
258. #1879	C₂×C₁₃	semidirect
259. #1864	C₂×C₁₃	semidirect
260. #1753	C₂×C₁₃	semidirect
517. #102	D₄×C₁₃	semidirect
642. C₁₃	#26984	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×#469	2
C₂×C₁₃×#442	2
C₁₃×#2428	2
C₁₃×#2422	2
C₁₃×#2084	2
C₁₃×#2034	2
C₁₃×#2011	2
C₁₃×#1999	2
C₁₃×#1957	2
C₁₃×#1936	2
C₁₃×#1934	2
C₁₃×#1895	2
C₁₃×#1879	2
C₁₃×#1864	2
C₁₃×#1753	2
#26984	13

Subgroups — C13×#26984 #15713323

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#26984 #15713323