Subgroups — C₁₃×#24324 #15710663

Order 3328.

1008 conjugacy classes of subgroups.

The subgroup lattice has 786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3504	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3077	C₂	1	1	yes	maximal, characteristic, complemented
3	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic
4	C₁₃×#2566	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2061	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2060	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2027	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2027	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#1998	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#1986	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#1883	C₂	1	1	yes	maximal, characteristic
12	C₁₃×#1883	C₂	1	1	yes	maximal, characteristic
13	C₁₃×#1860	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#1859	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#1806	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
17	C₁₃×#557	—	2	1	no	—
18	C₁₃×#557	—	2	1	no	—
19	C₁₃×#554	—	2	1	no	—
20	C₁₃×#554	—	2	1	no	—
21	C₁₃×#554	—	2	2	no	—
22	C₁₃×#554	—	2	2	no	—
23	C₁₃×#544	—	2	1	no	—
24	C₁₃×#544	—	2	1	no	—
25	C₁₃×#544	C₂²	1	1	yes	characteristic
26	C₁₃×#544	C₂²	1	1	yes	characteristic
27	C₁₃×#533	—	2	1	no	—
28	C₁₃×#533	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#125	—	2	1	no	—
30	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
31	C₁₃×#520	C₂²	1	1	yes	characteristic
32	C₁₃×#520	C₂²	1	1	yes	characteristic
33	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
34	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
35	C₁₃×#478	—	2	1	no	—
36	C₁₃×#478	—	2	1	no	—
37	C₁₃×#476	—	2	1	no	—
38	C₁₃×#474	—	2	1	no	—
39	C₁₃×#442	—	2	1	no	—
40	C₁₃×#440	—	2	1	no	—
41	C₄×C₁₃×SD₁₆	—	2	1	no	—
42	C₄×C₁₃×D₈	—	2	1	no	—
43	C₁₃×#428	C₂²	1	1	yes	characteristic
44	C₁₃×#428	C₂²	1	1	yes	characteristic
45	C₁₃×#428	C₂²	1	1	yes	characteristic
46	C₁₃×#423	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×#104	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×#104	C₂²	1	1	yes	characteristic
49	C₁₃×#418	C₂²	1	1	yes	characteristic
50	C₁₃×#418	C₂²	1	1	yes	characteristic
51	C₁₃×#418	C₂²	1	1	yes	characteristic
52	C₁₃×#417	C₂²	1	1	yes	characteristic
53	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
54	C₁₃×#396	—	2	2	no	—
55	C₁₃×#390	C₂²	1	1	yes	characteristic
56	C₁₃×#390	C₂²	1	1	yes	characteristic
57	C₁₃×#385	—	2	2	no	—
58	C₁₃×#384	C₂²	1	1	yes	characteristic
59	C₁₃×#382	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
61	C₁₃×#343	C₂²	1	1	yes	characteristic
62	C₁₃×#343	C₂²	1	1	yes	characteristic
63	C₁₃×#343	C₂²	1	1	yes	characteristic
64	C₁₃×#343	C₂²	1	1	yes	characteristic
65	C₁₃×#339	C₂²	1	1	yes	characteristic
66	C₁₃×#339	C₂²	1	1	yes	characteristic
67	C₁₃×#339	C₂²	1	1	yes	characteristic
68	C₁₃×#339	C₂²	1	1	yes	characteristic
69	C₁₃×#339	C₂²	1	1	yes	characteristic
70	C₁₃×#339	C₂²	1	1	yes	characteristic
71	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
72	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
73	C₂³×C₄×C₁₃	—	2	1	no	—
74	C₁₃×AGL(1,ℤ/8)	—	2	2	no	—
75	C₁₃×AGL(1,ℤ/8)	Q₈	1	4	yes	complemented
76	C₂×C₁₃×SD₁₆	—	2	1	no	—
77	C₂×C₁₃×D₈	—	2	1	no	—
78	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
79	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
80	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
81	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
82	C₁₃×C₄⋊Q₈	—	2	2	no	—
83	C₁₃×C₄⋊Q₈	—	2	2	no	—
84	C₁₃×C₄⋊Q₈	—	2	1	no	—
85	C₁₃×C₄⋊Q₈	—	2	1	no	—
86	C₁₃×C₄⋊Q₈	—	2	1	no	—
87	C₁₃×C₄⋊Q₈	—	2	1	no	—
88	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
89	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
90	C₁₃×#125	—	2	2	no	—
91	C₁₃×#125	—	2	2	no	—
92	C₁₃×#125	—	2	2	no	—
93	C₁₃×#125	—	2	2	no	—
94	C₁₃×#125	—	2	1	no	—
95	C₁₃×#125	—	2	1	no	—
96	C₁₃×#125	—	2	1	no	—
97	C₁₃×#125	—	2	1	no	—
98	C₁₃×#125	—	2	1	no	—
99	C₁₃×#125	—	2	1	no	—
100	C₁₃×#125	—	2	1	no	—
101	C₁₃×#125	—	2	1	no	—
102	C₁₃×#125	D₄	1	1	yes	characteristic
103	C₁₃×#125	D₄	1	1	yes	characteristic
104	C₁₃×C₂²⋊Q₈	—	2	2	no	—
105	C₁₃×C₂²⋊Q₈	—	2	2	no	—
106	C₁₃×C₂²⋊Q₈	—	2	2	no	—
107	C₁₃×C₂²⋊Q₈	—	2	2	no	—
108	C₁₃×C₂²⋊Q₈	—	2	2	no	—
109	C₁₃×C₂²⋊Q₈	—	2	2	no	—
110	C₁₃×C₂²⋊Q₈	—	2	1	no	—
111	C₁₃×C₂²⋊Q₈	—	2	1	no	—
112	C₁₃×C₂²⋊Q₈	—	2	2	no	—
113	C₁₃×C₂²⋊Q₈	—	2	2	no	—
114	C₄×Q₈×C₁₃	—	2	2	no	—
115	C₄×Q₈×C₁₃	—	2	2	no	—
116	C₄×Q₈×C₁₃	—	2	1	no	—
117	C₄×Q₈×C₁₃	—	2	1	no	—
118	C₄×Q₈×C₁₃	—	2	1	no	—
119	C₄×Q₈×C₁₃	—	2	1	no	—
120	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
121	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
122	C₄×D₄×C₁₃	—	2	1	no	—
123	C₄×D₄×C₁₃	—	2	1	no	—
124	C₄×D₄×C₁₃	—	2	1	no	—
125	C₄×D₄×C₁₃	—	2	1	no	—
126	C₄×D₄×C₁₃	—	2	2	no	—
127	C₄×D₄×C₁₃	—	2	2	no	—
128	C₄×D₄×C₁₃	—	2	1	no	—
129	C₄×D₄×C₁₃	—	2	1	no	—
130	C₄×D₄×C₁₃	—	2	1	no	—
131	C₄×D₄×C₁₃	—	2	1	no	—
132	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
133	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
134	C₁₃×#117	—	2	1	no	—
135	C₁₃×#117	—	2	1	no	—
136	C₁₃×#117	—	2	1	no	—
137	C₁₃×#117	C₂³	1	1	yes	characteristic
138	C₁₃×#117	C₂³	1	1	yes	characteristic
139	C₁₃×#117	C₂³	1	1	yes	characteristic
140	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
141	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
142	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
143	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
144	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
145	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
146	C₂×C₁₃×C₄⋊C₄	D₄	1	2	yes	—
147	C₂×C₁₃×C₄⋊C₄	D₄	1	2	yes	—
148	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
152	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
153	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
154	C₂×C₄²×C₁₃	—	2	1	no	—
155	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
156	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
157	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
158	C₁₃×#107	—	2	1	no	—
159	C₁₃×#107	—	2	1	no	—
160	C₁₃×#107	—	2	1	no	—
161	C₁₃×#106	—	2	1	no	—
162	C₁₃×#106	—	2	1	no	—
163	C₁₃×#106	—	2	1	no	—
164	C₁₃×C₄⋊C₈	—	2	1	no	—
165	C₁₃×C₄⋊C₈	—	2	1	no	—
166	C₁₃×#104	—	2	2	no	—
167	C₁₃×#104	—	2	2	no	—
168	C₁₃×#103	—	2	1	no	—
169	C₁₃×#102	—	2	1	no	—
170	C₁₃×#102	—	2	1	no	—
171	C₁₃×#102	—	2	1	no	—
172	C₁₃×#102	—	2	1	no	—
173	C₁₃×#102	—	2	1	no	—
174	C₁₃×#102	—	2	1	no	—
175	C₁₃×#102	—	2	1	no	—
176	C₁₃×#97	—	2	1	no	—
177	C₄×C₈×C₁₃	—	2	1	no	—
178	C₁₃×#95	—	2	1	no	—
179	C₁₃×#95	—	2	2	no	—
180	#24324	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
181	C₂⁴×C₁₃	—	2	1	no	—
182	C₁₃×#41	—	2	1	no	—
183	C₁₃×#41	—	2	1	no	—
184	C₁₃×#41	C₂×Q₈	1	2	yes	—
185	C₁₃×#41	#41	1	2	yes	—
186	C₂×Q₈×C₁₃	—	2	2	no	—
187	C₂×Q₈×C₁₃	—	2	2	no	—
188	C₂×Q₈×C₁₃	—	2	1	no	—
189	C₂×Q₈×C₁₃	—	2	1	no	—
190	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
191	C₂×D₄×C₁₃	—	2	1	no	—
192	C₂×D₄×C₁₃	—	2	1	no	—
193	C₂×D₄×C₁₃	—	2	1	no	—
194	C₂×D₄×C₁₃	—	2	1	no	—
195	C₂×D₄×C₁₃	—	2	1	no	—
196	C₂×D₄×C₁₃	—	2	1	no	—
197	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
198	C₂×D₄×C₁₃	C₂×Q₈	1	2	yes	—
199	C₂²×C₄×C₁₃	—	2	1	no	—
200	C₂²×C₄×C₁₃	—	2	1	no	—
201	C₂²×C₄×C₁₃	—	2	2	no	—
202	C₂²×C₄×C₁₃	—	2	2	no	—
203	C₂²×C₄×C₁₃	—	2	1	no	—
204	C₂²×C₄×C₁₃	—	2	1	no	—
205	C₂²×C₄×C₁₃	—	2	1	no	—
206	C₂²×C₄×C₁₃	—	2	1	no	—
207	C₂²×C₄×C₁₃	—	4	1	no	—
208	C₂²×C₄×C₁₃	—	4	1	no	—
209	C₂²×C₄×C₁₃	—	8	2	no	—
210	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
211	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
212	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
213	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
214	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
215	C₁₃×SD₁₆	—	2	4	no	—
216	C₁₃×D₈	—	2	4	no	—
217	C₁₃×M₁₆	—	2	1	no	—
218	C₁₃×M₁₆	—	2	1	no	—
219	C₁₃×M₁₆	—	2	1	no	—
220	C₁₃×M₁₆	—	2	1	no	—
221	C₁₃×M₁₆	—	2	1	no	—
222	C₁₃×M₁₆	—	2	1	no	—
223	C₁₃×M₁₆	—	2	1	no	—
224	C₁₃×M₁₆	C₂×Q₈	1	2	yes	—
225	C₂×C₈×C₁₃	—	2	1	no	—
226	C₂×C₈×C₁₃	—	2	1	no	—
227	C₂×C₈×C₁₃	—	2	1	no	—
228	C₂×C₈×C₁₃	—	2	1	no	—
229	C₁₃×C₄⋊C₄	—	2	2	no	—
230	C₁₃×C₄⋊C₄	—	2	2	no	—
231	C₁₃×C₄⋊C₄	—	2	2	no	—
232	C₁₃×C₄⋊C₄	—	2	2	no	—
233	C₁₃×C₄⋊C₄	—	2	2	no	—
234	C₁₃×C₄⋊C₄	—	2	2	no	—
235	C₁₃×C₄⋊C₄	—	2	2	no	—
236	C₁₃×C₄⋊C₄	—	2	2	no	—
237	C₁₃×C₄⋊C₄	—	2	1	no	—
238	C₁₃×C₄⋊C₄	—	2	1	no	—
239	C₁₃×C₄⋊C₄	—	2	2	no	—
240	C₁₃×C₄⋊C₄	—	2	2	no	—
241	C₁₃×C₄⋊C₄	—	2	2	no	—
242	C₁₃×C₄⋊C₄	—	2	2	no	—
243	C₁₃×C₄⋊C₄	—	2	1	no	—
244	C₁₃×C₄⋊C₄	—	2	1	no	—
245	C₁₃×C₄⋊C₄	—	2	1	no	—
246	C₁₃×C₄⋊C₄	—	2	1	no	—
247	C₁₃×C₄⋊C₄	—	2	1	no	—
248	C₁₃×C₄⋊C₄	—	2	1	no	—
249	C₁₃×C₄⋊C₄	—	2	1	no	—
250	C₁₃×C₄⋊C₄	—	2	1	no	—
251	C₁₃×C₄⋊C₄	—	2	1	no	—
252	C₁₃×C₄⋊C₄	—	2	1	no	—
253	C₁₃×C₄⋊C₄	—	2	1	no	—
254	C₁₃×C₄⋊C₄	—	2	1	no	—
255	C₁₃×C₄⋊C₄	—	4	2	no	—
256	C₁₃×C₄⋊C₄	—	8	2	no	—
257	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
258	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
259	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
260	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
261	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
262	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
263	C₁₃×C₂²⋊C₄	—	2	2	no	—
264	C₁₃×C₂²⋊C₄	—	2	2	no	—
265	C₁₃×C₂²⋊C₄	—	2	1	no	—
266	C₁₃×C₂²⋊C₄	—	2	1	no	—
267	C₁₃×C₂²⋊C₄	—	2	1	no	—
268	C₁₃×C₂²⋊C₄	—	2	1	no	—
269	C₁₃×C₂²⋊C₄	—	2	1	no	—
270	C₁₃×C₂²⋊C₄	—	4	4	no	—
271	C₁₃×C₂²⋊C₄	—	4	1	no	—
272	C₁₃×C₂²⋊C₄	—	4	1	no	—
273	C₁₃×C₂²⋊C₄	—	8	2	no	—
274	C₄²×C₁₃	—	2	2	no	—
275	C₄²×C₁₃	—	2	2	no	—
276	C₄²×C₁₃	—	2	1	no	—
277	C₄²×C₁₃	—	2	1	no	—
278	C₄²×C₁₃	—	2	1	no	—
279	C₄²×C₁₃	—	2	1	no	—
280	C₄²×C₁₃	—	2	1	no	—
281	C₄²×C₁₃	—	2	1	no	—
282	C₄²×C₁₃	—	2	1	no	—
283	C₄²×C₁₃	—	2	1	no	—
284	C₄²×C₁₃	—	2	1	no	—
285	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
286	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
287	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
288	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
289	#3504	C₂×C₁₃	1	1	yes	characteristic, complemented
290	#3077	C₂×C₁₃	1	1	yes	characteristic, complemented
291	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic
292	#2566	C₂×C₁₃	1	1	yes	characteristic, complemented
293	#2061	C₂×C₁₃	1	1	yes	characteristic, complemented
294	#2060	C₂×C₁₃	1	1	yes	characteristic, complemented
295	#2027	C₂×C₁₃	1	1	yes	characteristic, complemented
296	#2027	C₂×C₁₃	1	1	yes	characteristic, complemented
297	#1998	C₂×C₁₃	1	1	yes	characteristic, complemented
298	#1986	C₂×C₁₃	1	1	yes	characteristic, complemented
299	#1883	C₂×C₁₃	1	1	yes	characteristic
300	#1883	C₂×C₁₃	1	1	yes	characteristic
301	#1860	C₂×C₁₃	1	1	yes	characteristic, complemented
302	#1859	C₂×C₁₃	1	1	yes	characteristic, complemented
303	#1806	C₂×C₁₃	1	1	yes	characteristic, complemented
304	C₂³×C₁₃	—	2	1	no	—
305	C₂³×C₁₃	—	2	2	no	—
306	C₂³×C₁₃	—	4	2	no	—
307	C₂³×C₁₃	—	4	2	no	—
308	C₂³×C₁₃	—	4	1	no	—
309	C₂³×C₁₃	—	4	1	no	—
310	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
311	Q₈×C₁₃	—	2	1	no	—
312	Q₈×C₁₃	—	8	1	no	—
313	Q₈×C₁₃	—	8	1	no	—
314	Q₈×C₁₃	—	8	2	no	—
315	Q₈×C₁₃	—	8	2	no	—
316	Q₈×C₁₃	C₂²⋊Q₈	1	2	yes	—
317	D₄×C₁₃	—	2	2	no	—
318	D₄×C₁₃	—	2	2	no	—
319	D₄×C₁₃	—	2	2	no	—
320	D₄×C₁₃	—	2	1	no	—
321	D₄×C₁₃	—	2	2	no	—
322	D₄×C₁₃	—	4	1	no	—
323	D₄×C₁₃	—	4	1	no	—
324	D₄×C₁₃	C₂²⋊Q₈	1	2	yes	—
325	C₂×C₄×C₁₃	—	2	1	no	—
326	C₂×C₄×C₁₃	—	2	2	no	—
327	C₂×C₄×C₁₃	—	2	2	no	—
328	C₂×C₄×C₁₃	—	2	2	no	—
329	C₂×C₄×C₁₃	—	2	1	no	—
330	C₂×C₄×C₁₃	—	2	1	no	—
331	C₂×C₄×C₁₃	—	2	1	no	—
332	C₂×C₄×C₁₃	—	2	1	no	—
333	C₂×C₄×C₁₃	—	2	2	no	—
334	C₂×C₄×C₁₃	—	2	2	no	—
335	C₂×C₄×C₁₃	—	2	1	no	—
336	C₂×C₄×C₁₃	—	2	1	no	—
337	C₂×C₄×C₁₃	—	4	1	no	—
338	C₂×C₄×C₁₃	—	4	1	no	—
339	C₂×C₄×C₁₃	—	4	1	no	—
340	C₂×C₄×C₁₃	—	4	1	no	—
341	C₂×C₄×C₁₃	—	4	2	no	—
342	C₂×C₄×C₁₃	—	4	2	no	—
343	C₂×C₄×C₁₃	—	4	1	no	—
344	C₂×C₄×C₁₃	—	4	1	no	—
345	C₂×C₄×C₁₃	—	4	2	no	—
346	C₂×C₄×C₁₃	—	4	1	no	—
347	C₂×C₄×C₁₃	—	4	1	no	—
348	C₂×C₄×C₁₃	—	8	1	no	—
349	C₂×C₄×C₁₃	—	8	1	no	—
350	C₂×C₄×C₁₃	—	8	2	no	—
351	C₂×C₄×C₁₃	—	8	2	no	—
352	C₂×C₄×C₁₃	—	8	2	no	—
353	C₂×C₄×C₁₃	—	8	2	no	—
354	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
355	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
356	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
357	C₂×C₄×C₁₃	#120	1	1	yes	characteristic
358	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
359	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
360	C₂×C₄×C₁₃	C₂²×Q₈	1	1	yes	characteristic
361	C₂×C₄×C₁₃	C₂×#41	1	1	yes	characteristic
362	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
363	C₂×C₄×C₁₃	2₋¹⁺⁴	1	1	yes	characteristic
364	C₈×C₁₃	—	2	2	no	—
365	C₈×C₁₃	—	4	1	no	—
366	C₈×C₁₃	—	4	1	no	—
367	C₈×C₁₃	—	4	1	no	—
368	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
369	#557	—	2	1	no	—
370	#557	—	2	1	no	—
371	#554	—	2	1	no	—
372	#554	—	2	1	no	—
373	#554	—	2	2	no	—
374	#554	—	2	2	no	—
375	#544	—	2	1	no	—
376	#544	—	2	1	no	—
377	#544	C₂²×C₁₃	1	1	yes	characteristic
378	#544	C₂²×C₁₃	1	1	yes	characteristic
379	#533	—	2	1	no	—
380	#533	C₂²×C₁₃	1	1	yes	characteristic
381	C₂×#125	—	2	1	no	—
382	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
383	#520	C₂²×C₁₃	1	1	yes	characteristic
384	#520	C₂²×C₁₃	1	1	yes	characteristic
385	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
386	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
387	#478	—	2	1	no	—
388	#478	—	2	1	no	—
389	#476	—	2	1	no	—
390	#474	—	2	1	no	—
391	#442	—	2	1	no	—
392	#440	—	2	1	no	—
393	C₄×SD₁₆	—	2	1	no	—
394	C₄×D₈	—	2	1	no	—
395	#428	C₂²×C₁₃	1	1	yes	characteristic
396	#428	C₂²×C₁₃	1	1	yes	characteristic
397	#428	C₂²×C₁₃	1	1	yes	characteristic
398	#423	C₂²×C₁₃	1	1	yes	characteristic
399	C₂×#104	C₂²×C₁₃	1	1	yes	characteristic
400	C₂×#104	C₂²×C₁₃	1	1	yes	characteristic
401	#418	C₂²×C₁₃	1	1	yes	characteristic
402	#418	C₂²×C₁₃	1	1	yes	characteristic
403	#418	C₂²×C₁₃	1	1	yes	characteristic
404	#417	C₂²×C₁₃	1	1	yes	characteristic
405	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
406	#396	—	2	2	no	—
407	#390	C₂²×C₁₃	1	1	yes	characteristic
408	#390	C₂²×C₁₃	1	1	yes	characteristic
409	#385	—	2	2	no	—
410	#384	C₂²×C₁₃	1	1	yes	characteristic
411	#382	C₂²×C₁₃	1	1	yes	characteristic
412	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
413	#343	C₂²×C₁₃	1	1	yes	characteristic
414	#343	C₂²×C₁₃	1	1	yes	characteristic
415	#343	C₂²×C₁₃	1	1	yes	characteristic
416	#343	C₂²×C₁₃	1	1	yes	characteristic
417	#339	C₂²×C₁₃	1	1	yes	characteristic
418	#339	C₂²×C₁₃	1	1	yes	characteristic
419	#339	C₂²×C₁₃	1	1	yes	characteristic
420	#339	C₂²×C₁₃	1	1	yes	characteristic
421	#339	C₂²×C₁₃	1	1	yes	characteristic
422	#339	C₂²×C₁₃	1	1	yes	characteristic
423	C₂²×C₁₃	—	2	1	no	—
424	C₂²×C₁₃	—	2	1	no	—
425	C₂²×C₁₃	—	2	2	no	—
426	C₂²×C₁₃	—	4	4	no	—
427	C₂²×C₁₃	—	4	1	no	—
428	C₂²×C₁₃	—	4	1	no	—
429	C₂²×C₁₃	—	4	2	no	—
430	C₂²×C₁₃	—	8	2	no	—
431	C₂²×C₁₃	—	8	1	no	—
432	C₂²×C₁₃	—	8	1	no	—
433	C₂²×C₁₃	C₂×#120	1	1	yes	characteristic
434	C₂²×C₁₃	#548	1	1	yes	characteristic
435	C₂²×C₁₃	D₄×Q₈	1	1	yes	characteristic
436	C₄×C₁₃	—	2	2	no	—
437	C₄×C₁₃	—	2	1	no	—
438	C₄×C₁₃	—	2	1	no	—
439	C₄×C₁₃	—	2	1	no	—
440	C₄×C₁₃	—	2	1	no	—
441	C₄×C₁₃	—	4	2	no	—
442	C₄×C₁₃	—	4	2	no	—
443	C₄×C₁₃	—	4	1	no	—
444	C₄×C₁₃	—	4	1	no	—
445	C₄×C₁₃	—	4	1	no	—
446	C₄×C₁₃	—	4	2	no	—
447	C₄×C₁₃	—	4	1	no	—
448	C₄×C₁₃	—	4	1	no	—
449	C₄×C₁₃	—	4	1	no	—
450	C₄×C₁₃	—	8	1	no	—
451	C₄×C₁₃	—	8	1	no	—
452	C₄×C₁₃	C₂×C₂²⋊Q₈	1	1	yes	characteristic
453	C₄×C₁₃	#536	1	1	yes	characteristic
454	C₄×C₁₃	#548	1	1	yes	characteristic
455	C₄×C₁₃	D₄×Q₈	1	1	yes	characteristic
456	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
457	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
458	C₂³×C₄	—	2	1	no	—
459	AGL(1,ℤ/8)	—	2	2	no	—
460	AGL(1,ℤ/8)	Q₈×C₁₃	1	4	yes	complemented
461	C₂×SD₁₆	—	2	1	no	—
462	C₂×D₈	—	2	1	no	—
463	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
464	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
465	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
466	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
467	C₄⋊Q₈	—	2	2	no	—
468	C₄⋊Q₈	—	2	2	no	—
469	C₄⋊Q₈	—	2	1	no	—
470	C₄⋊Q₈	—	2	1	no	—
471	C₄⋊Q₈	—	2	1	no	—
472	C₄⋊Q₈	—	2	1	no	—
473	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
474	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
475	#125	—	2	2	no	—
476	#125	—	2	2	no	—
477	#125	—	2	2	no	—
478	#125	—	2	2	no	—
479	#125	—	2	1	no	—
480	#125	—	2	1	no	—
481	#125	—	2	1	no	—
482	#125	—	2	1	no	—
483	#125	—	2	1	no	—
484	#125	—	2	1	no	—
485	#125	—	2	1	no	—
486	#125	—	2	1	no	—
487	#125	D₄×C₁₃	1	1	yes	characteristic
488	#125	D₄×C₁₃	1	1	yes	characteristic
489	C₂²⋊Q₈	—	2	2	no	—
490	C₂²⋊Q₈	—	2	2	no	—
491	C₂²⋊Q₈	—	2	2	no	—
492	C₂²⋊Q₈	—	2	2	no	—
493	C₂²⋊Q₈	—	2	2	no	—
494	C₂²⋊Q₈	—	2	2	no	—
495	C₂²⋊Q₈	—	2	1	no	—
496	C₂²⋊Q₈	—	2	1	no	—
497	C₂²⋊Q₈	—	2	2	no	—
498	C₂²⋊Q₈	—	2	2	no	—
499	C₄×Q₈	—	2	2	no	—
500	C₄×Q₈	—	2	2	no	—
501	C₄×Q₈	—	2	1	no	—
502	C₄×Q₈	—	2	1	no	—
503	C₄×Q₈	—	2	1	no	—
504	C₄×Q₈	—	2	1	no	—
505	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
506	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
507	C₄×D₄	—	2	1	no	—
508	C₄×D₄	—	2	1	no	—
509	C₄×D₄	—	2	1	no	—
510	C₄×D₄	—	2	1	no	—
511	C₄×D₄	—	2	2	no	—
512	C₄×D₄	—	2	2	no	—
513	C₄×D₄	—	2	1	no	—
514	C₄×D₄	—	2	1	no	—
515	C₄×D₄	—	2	1	no	—
516	C₄×D₄	—	2	1	no	—
517	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
518	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
519	#117	—	2	1	no	—
520	#117	—	2	1	no	—
521	#117	—	2	1	no	—
522	#117	C₂³×C₁₃	1	1	yes	characteristic
523	#117	C₂³×C₁₃	1	1	yes	characteristic
524	#117	C₂³×C₁₃	1	1	yes	characteristic
525	C₂×C₄⋊C₄	—	2	2	no	—
526	C₂×C₄⋊C₄	—	2	2	no	—
527	C₂×C₄⋊C₄	—	2	1	no	—
528	C₂×C₄⋊C₄	—	2	1	no	—
529	C₂×C₄⋊C₄	—	2	1	no	—
530	C₂×C₄⋊C₄	—	2	2	no	—
531	C₂×C₄⋊C₄	D₄×C₁₃	1	2	yes	—
532	C₂×C₄⋊C₄	D₄×C₁₃	1	2	yes	—
533	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
534	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
535	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
536	C₂×C₂²⋊C₄	—	2	1	no	—
537	C₂×C₂²⋊C₄	—	2	2	no	—
538	C₂×C₂²⋊C₄	—	2	2	no	—
539	C₂×C₄²	—	2	1	no	—
540	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
541	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
542	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
543	#107	—	2	1	no	—
544	#107	—	2	1	no	—
545	#107	—	2	1	no	—
546	#106	—	2	1	no	—
547	#106	—	2	1	no	—
548	#106	—	2	1	no	—
549	C₄⋊C₈	—	2	1	no	—
550	C₄⋊C₈	—	2	1	no	—
551	#104	—	2	2	no	—
552	#104	—	2	2	no	—
553	#103	—	2	1	no	—
554	#102	—	2	1	no	—
555	#102	—	2	1	no	—
556	#102	—	2	1	no	—
557	#102	—	2	1	no	—
558	#102	—	2	1	no	—
559	#102	—	2	1	no	—
560	#102	—	2	1	no	—
561	#97	—	2	1	no	—
562	C₄×C₈	—	2	1	no	—
563	#95	—	2	1	no	—
564	#95	—	2	2	no	—
565	C₂×C₁₃	—	2	1	no	—
566	C₂×C₁₃	—	2	1	no	—
567	C₂×C₁₃	—	4	2	no	—
568	C₂×C₁₃	—	8	2	no	—
569	C₂×C₁₃	#2409	1	1	yes	characteristic
570	C₂×C₁₃	#3018	1	1	yes	characteristic
571	C₂×C₁₃	#3021	1	1	yes	characteristic
572	C₂⁴	—	2	1	no	—
573	#41	—	2	1	no	—
574	#41	—	2	1	no	—
575	#41	C₂×Q₈×C₁₃	1	2	yes	—
576	#41	C₁₃×#41	1	2	yes	—
577	C₂×Q₈	—	2	2	no	—
578	C₂×Q₈	—	2	2	no	—
579	C₂×Q₈	—	2	1	no	—
580	C₂×Q₈	—	2	1	no	—
581	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
582	C₂×D₄	—	2	1	no	—
583	C₂×D₄	—	2	1	no	—
584	C₂×D₄	—	2	1	no	—
585	C₂×D₄	—	2	1	no	—
586	C₂×D₄	—	2	1	no	—
587	C₂×D₄	—	2	1	no	—
588	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
589	C₂×D₄	C₂×Q₈×C₁₃	1	2	yes	—
590	C₂²×C₄	—	2	1	no	—
591	C₂²×C₄	—	2	1	no	—
592	C₂²×C₄	—	2	2	no	—
593	C₂²×C₄	—	2	2	no	—
594	C₂²×C₄	—	2	1	no	—
595	C₂²×C₄	—	2	1	no	—
596	C₂²×C₄	—	2	1	no	—
597	C₂²×C₄	—	2	1	no	—
598	C₂²×C₄	—	4	1	no	—
599	C₂²×C₄	—	4	1	no	—
600	C₂²×C₄	—	8	2	no	—
601	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
602	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
603	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
604	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
605	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
606	SD₁₆	—	2	4	no	—
607	D₈	—	2	4	no	—
608	M₁₆	—	2	1	no	—
609	M₁₆	—	2	1	no	—
610	M₁₆	—	2	1	no	—
611	M₁₆	—	2	1	no	—
612	M₁₆	—	2	1	no	—
613	M₁₆	—	2	1	no	—
614	M₁₆	—	2	1	no	—
615	M₁₆	C₂×Q₈×C₁₃	1	2	yes	—
616	C₂×C₈	—	2	1	no	—
617	C₂×C₈	—	2	1	no	—
618	C₂×C₈	—	2	1	no	—
619	C₂×C₈	—	2	1	no	—
620	C₄⋊C₄	—	2	2	no	—
621	C₄⋊C₄	—	2	2	no	—
622	C₄⋊C₄	—	2	2	no	—
623	C₄⋊C₄	—	2	2	no	—
624	C₄⋊C₄	—	2	2	no	—
625	C₄⋊C₄	—	2	2	no	—
626	C₄⋊C₄	—	2	2	no	—
627	C₄⋊C₄	—	2	2	no	—
628	C₄⋊C₄	—	2	1	no	—
629	C₄⋊C₄	—	2	1	no	—
630	C₄⋊C₄	—	2	2	no	—
631	C₄⋊C₄	—	2	2	no	—
632	C₄⋊C₄	—	2	2	no	—
633	C₄⋊C₄	—	2	2	no	—
634	C₄⋊C₄	—	2	1	no	—
635	C₄⋊C₄	—	2	1	no	—
636	C₄⋊C₄	—	2	1	no	—
637	C₄⋊C₄	—	2	1	no	—
638	C₄⋊C₄	—	2	1	no	—
639	C₄⋊C₄	—	2	1	no	—
640	C₄⋊C₄	—	2	1	no	—
641	C₄⋊C₄	—	2	1	no	—
642	C₄⋊C₄	—	2	1	no	—
643	C₄⋊C₄	—	2	1	no	—
644	C₄⋊C₄	—	2	1	no	—
645	C₄⋊C₄	—	2	1	no	—
646	C₄⋊C₄	—	4	2	no	—
647	C₄⋊C₄	—	8	2	no	—
648	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
649	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
650	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
651	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
652	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
653	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
654	C₂²⋊C₄	—	2	2	no	—
655	C₂²⋊C₄	—	2	2	no	—
656	C₂²⋊C₄	—	2	1	no	—
657	C₂²⋊C₄	—	2	1	no	—
658	C₂²⋊C₄	—	2	1	no	—
659	C₂²⋊C₄	—	2	1	no	—
660	C₂²⋊C₄	—	2	1	no	—
661	C₂²⋊C₄	—	4	4	no	—
662	C₂²⋊C₄	—	4	1	no	—
663	C₂²⋊C₄	—	4	1	no	—
664	C₂²⋊C₄	—	8	2	no	—
665	C₄²	—	2	2	no	—
666	C₄²	—	2	2	no	—
667	C₄²	—	2	1	no	—
668	C₄²	—	2	1	no	—
669	C₄²	—	2	1	no	—
670	C₄²	—	2	1	no	—
671	C₄²	—	2	1	no	—
672	C₄²	—	2	1	no	—
673	C₄²	—	2	1	no	—
674	C₄²	—	2	1	no	—
675	C₄²	—	2	1	no	—
676	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
677	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
678	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
679	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
680	C₁₃	#24324	1	1	yes	characteristic, direct product factor, Sylow
681	C₂³	—	2	1	no	—
682	C₂³	—	2	2	no	—
683	C₂³	—	4	2	no	—
684	C₂³	—	4	2	no	—
685	C₂³	—	4	1	no	—
686	C₂³	—	4	1	no	—
687	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
688	Q₈	—	2	1	no	—
689	Q₈	—	8	1	no	—
690	Q₈	—	8	1	no	—
691	Q₈	—	8	2	no	—
692	Q₈	—	8	2	no	—
693	Q₈	C₁₃×C₂²⋊Q₈	1	2	yes	—
694	D₄	—	2	2	no	—
695	D₄	—	2	2	no	—
696	D₄	—	2	2	no	—
697	D₄	—	2	1	no	—
698	D₄	—	2	2	no	—
699	D₄	—	4	1	no	—
700	D₄	—	4	1	no	—
701	D₄	C₁₃×C₂²⋊Q₈	1	2	yes	—
702	C₂×C₄	—	2	1	no	—
703	C₂×C₄	—	2	2	no	—
704	C₂×C₄	—	2	2	no	—
705	C₂×C₄	—	2	2	no	—
706	C₂×C₄	—	2	1	no	—
707	C₂×C₄	—	2	1	no	—
708	C₂×C₄	—	2	1	no	—
709	C₂×C₄	—	2	1	no	—
710	C₂×C₄	—	2	2	no	—
711	C₂×C₄	—	2	2	no	—
712	C₂×C₄	—	2	1	no	—
713	C₂×C₄	—	2	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	2	no	—
719	C₂×C₄	—	4	2	no	—
720	C₂×C₄	—	4	1	no	—
721	C₂×C₄	—	4	1	no	—
722	C₂×C₄	—	4	2	no	—
723	C₂×C₄	—	4	1	no	—
724	C₂×C₄	—	4	1	no	—
725	C₂×C₄	—	8	1	no	—
726	C₂×C₄	—	8	1	no	—
727	C₂×C₄	—	8	2	no	—
728	C₂×C₄	—	8	2	no	—
729	C₂×C₄	—	8	2	no	—
730	C₂×C₄	—	8	2	no	—
731	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
732	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
733	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
734	C₂×C₄	C₁₃×#120	1	1	yes	characteristic
735	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
736	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
737	C₂×C₄	C₂²×Q₈×C₁₃	1	1	yes	characteristic
738	C₂×C₄	C₂×C₁₃×#41	1	1	yes	characteristic
739	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
740	C₂×C₄	C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
741	C₈	—	2	2	no	—
742	C₈	—	4	1	no	—
743	C₈	—	4	1	no	—
744	C₈	—	4	1	no	—
745	C₂²	—	2	1	no	—
746	C₂²	—	2	1	no	—
747	C₂²	—	2	2	no	—
748	C₂²	—	4	4	no	—
749	C₂²	—	4	1	no	—
750	C₂²	—	4	1	no	—
751	C₂²	—	4	2	no	—
752	C₂²	—	8	2	no	—
753	C₂²	—	8	1	no	—
754	C₂²	—	8	1	no	—
755	C₂²	C₂×C₁₃×#120	1	1	yes	characteristic
756	C₂²	C₁₃×#548	1	1	yes	characteristic
757	C₂²	D₄×Q₈×C₁₃	1	1	yes	characteristic
758	C₄	—	2	1	no	—
759	C₄	—	2	1	no	—
760	C₄	—	2	1	no	—
761	C₄	—	2	1	no	—
762	C₄	—	2	2	no	—
763	C₄	—	4	2	no	—
764	C₄	—	4	2	no	—
765	C₄	—	4	1	no	—
766	C₄	—	4	1	no	—
767	C₄	—	4	1	no	—
768	C₄	—	4	2	no	—
769	C₄	—	4	1	no	—
770	C₄	—	4	1	no	—
771	C₄	—	4	1	no	—
772	C₄	—	8	1	no	—
773	C₄	—	8	1	no	—
774	C₄	C₂×C₁₃×C₂²⋊Q₈	1	1	yes	characteristic
775	C₄	C₁₃×#536	1	1	yes	characteristic
776	C₄	C₁₃×#548	1	1	yes	characteristic
777	C₄	D₄×Q₈×C₁₃	1	1	yes	characteristic
778	C₂	—	2	1	no	—
779	C₂	—	2	1	no	—
780	C₂	—	4	2	no	—
781	C₂	—	8	2	no	—
782	C₂	C₁₃×#2409	1	1	yes	characteristic
783	C₂	C₁₃×#3018	1	1	yes	characteristic
784	C₂	C₁₃×#3021	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂×#120
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₃
prime radical	C₂×C₁₃×AGL(1,ℤ/8)	C₂²
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₄²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3504	C₂	semidirect
2. C₁₃×#3077	C₂	semidirect
4. C₁₃×#2566	C₂	semidirect
5. C₁₃×#2061	C₂	semidirect
6. C₁₃×#2060	C₂	semidirect
7. C₁₃×#2027	C₂	semidirect
8. C₁₃×#2027	C₂	semidirect
9. C₁₃×#1998	C₂	semidirect
10. C₁₃×#1986	C₂	semidirect
13. C₁₃×#1860	C₂	semidirect
14. C₁₃×#1859	C₂	semidirect
15. C₁₃×#1806	C₂	semidirect
75. C₁₃×AGL(1,ℤ/8)	Q₈	semidirect
180. #24324	C₁₃	direct (N × H)
289. #3504	C₂×C₁₃	semidirect
290. #3077	C₂×C₁₃	semidirect
292. #2566	C₂×C₁₃	semidirect
293. #2061	C₂×C₁₃	semidirect
294. #2060	C₂×C₁₃	semidirect
295. #2027	C₂×C₁₃	semidirect
296. #2027	C₂×C₁₃	semidirect
297. #1998	C₂×C₁₃	semidirect
298. #1986	C₂×C₁₃	semidirect
301. #1860	C₂×C₁₃	semidirect
302. #1859	C₂×C₁₃	semidirect
303. #1806	C₂×C₁₃	semidirect
460. AGL(1,ℤ/8)	Q₈×C₁₃	semidirect
680. C₁₃	#24324	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×#3504	2
C₁₃×#3077	2
C₄×C₁₃×AGL(1,ℤ/8)	2
C₁₃×#2566	2
C₁₃×#2061	2
C₁₃×#2060	2
C₁₃×#2027	2
C₁₃×#1998	2
C₁₃×#1986	2
C₁₃×#1883	2
C₁₃×#1860	2
C₁₃×#1859	2
C₁₃×#1806	2
#24324	13

Subgroups — C13×#24324 #15710663

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#24324 #15710663