Subgroups — C₁₃×#61591 #15747930

Order 3328.

2632 conjugacy classes of subgroups.

The subgroup lattice has 998 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3519	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×D₄²×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3325	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3318	C₂	1	4	yes	maximal, complemented
5	C₁₃×#3295	C₂	1	2	yes	maximal, complemented
6	D₄×C₁₃×D₈	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3274	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3264	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3205	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3192	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3188	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3109	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3003	C₂	1	2	yes	maximal, complemented
16	C₂×C₁₃×#447	C₂	1	2	yes	maximal, complemented
17	C₁₃×#2974	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂³×D₄×C₁₃	—	2	1	no	—
19	C₂³×D₄×C₁₃	C₂²	1	2	yes	complemented
20	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
21	C₂²×C₁₃×D₈	C₂²	1	4	yes	complemented
22	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
23	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
24	C₁₃×#553	—	2	1	no	—
25	C₁₃×#553	C₂²	1	2	yes	complemented
26	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#546	—	2	2	no	—
28	C₁₃×#546	C₂²	1	2	yes	complemented
29	D₄²×C₁₃	—	2	1	no	—
30	D₄²×C₁₃	—	2	1	no	—
31	D₄²×C₁₃	—	2	2	no	—
32	D₄²×C₁₃	—	2	1	no	—
33	D₄²×C₁₃	C₂²	1	2	yes	—
34	D₄²×C₁₃	C₂²	1	4	yes	complemented
35	D₄²×C₁₃	C₂²	1	2	yes	complemented
36	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#540	—	2	1	no	—
38	C₁₃×#538	—	2	2	no	—
39	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#525	C₂²	1	2	yes	complemented
43	C₂×C₁₃×#121	—	2	1	no	—
44	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
45	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
46	C₂×C₁₃×#120	—	2	2	no	—
47	C₁₃×#518	—	2	1	no	—
48	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
50	C₁₃×#496	C₂²	1	2	yes	complemented
51	C₁₃×#493	C₂²	1	2	yes	complemented
52	C₁₃×#490	C₂²	1	2	yes	complemented
53	C₁₃×#486	C₂²	1	2	yes	complemented
54	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#482	C₂²	1	4	yes	complemented
56	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#481	C₂²	1	2	yes	complemented
58	C₁₃×#481	C₂²	1	4	yes	complemented
59	C₁₃×#478	C₂²	1	2	yes	complemented
60	C₁₃×#476	C₂²	1	2	yes	complemented
61	C₁₃×#469	C₂²	1	4	yes	complemented
62	C₁₃×#469	C₂²	1	4	yes	complemented
63	C₁₃×#466	C₂²	1	4	yes	complemented
64	C₁₃×#465	C₂²	1	4	yes	complemented
65	C₁₃×#463	C₂²	1	2	yes	complemented
66	C₁₃×#460	C₂²	1	2	yes	complemented
67	C₁₃×#459	C₂²	1	2	yes	complemented
68	C₁₃×#459	C₂²	1	4	yes	complemented
69	C₁₃×#459	C₂²	1	2	yes	complemented
70	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#450	C₂²	1	2	yes	complemented
72	C₁₃×#450	C₂²	1	4	yes	complemented
73	C₁₃×#449	C₂²	1	4	yes	complemented
74	C₁₃×#447	C₂²	1	1	yes	characteristic
75	C₁₃×#447	C₂²	1	2	yes	complemented
76	C₁₃×#447	C₂²	1	2	yes	complemented
77	C₁₃×#447	C₂²	1	2	yes	complemented
78	C₁₃×#447	C₂²	1	2	yes	complemented
79	C₁₃×#447	C₂²	1	4	yes	complemented
80	C₁₃×#447	C₂²	1	4	yes	complemented
81	C₁₃×#447	C₂²	1	4	yes	complemented
82	C₁₃×#447	C₂²	1	4	yes	complemented
83	C₁₃×#442	C₂²	1	4	yes	complemented
84	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
85	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
86	C₁₃×#436	C₂²	1	2	yes	complemented
87	C₁₃×#435	C₂²	1	4	yes	complemented
88	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
89	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#418	C₂²	1	4	yes	complemented
92	C₂×C₁₃×#102	C₂²	1	4	yes	complemented
93	C₁₃×#407	C₂²	1	2	yes	complemented
94	C₂×C₁₃×C₂²⋊C₈	C₂²	1	2	yes	complemented
95	C₂⁵×C₁₃	—	2	2	no	—
96	C₂×C₁₃×#41	—	2	1	no	—
97	C₂×C₁₃×#41	C₂³	1	2	yes	complemented
98	C₂²×D₄×C₁₃	—	2	2	no	—
99	C₂²×D₄×C₁₃	—	2	2	no	—
100	C₂²×D₄×C₁₃	—	2	1	no	—
101	C₂²×D₄×C₁₃	—	2	2	no	—
102	C₂²×D₄×C₁₃	—	2	4	no	—
103	C₂²×D₄×C₁₃	—	2	2	no	—
104	C₂²×D₄×C₁₃	—	2	2	no	—
105	C₂²×D₄×C₁₃	—	2	1	no	—
106	C₂²×D₄×C₁₃	—	2	2	no	—
107	C₂²×D₄×C₁₃	—	2	2	no	—
108	C₂²×D₄×C₁₃	—	2	1	no	—
109	C₂²×D₄×C₁₃	—	4	8	no	—
110	C₂²×D₄×C₁₃	—	4	8	no	—
111	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
112	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
113	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
114	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
115	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
116	C₂²×D₄×C₁₃	C₂³	1	2	yes	complemented
117	C₂³×C₄×C₁₃	—	2	1	no	—
118	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
119	C₁₃×AGL(1,ℤ/8)	—	4	8	no	—
120	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
121	C₂×C₁₃×SD₁₆	C₂³	1	4	yes	complemented
122	C₂×C₁₃×D₈	—	4	8	no	—
123	C₂×C₁₃×D₈	C₂³	1	2	yes	—
124	C₂×C₁₃×D₈	C₂³	1	4	yes	—
125	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
126	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
127	C₂×C₁₃×D₈	C₂³	1	4	yes	complemented
128	C₂×C₁₃×M₁₆	C₂³	1	4	yes	complemented
129	C₂²×C₈×C₁₃	C₂³	1	4	yes	complemented
130	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
131	C₁₃×#127	—	2	1	no	—
132	C₁₃×#127	—	2	1	no	—
133	C₁₃×#127	—	2	1	no	—
134	C₁₃×#127	C₂³	1	2	yes	—
135	C₁₃×#127	C₂³	1	2	yes	—
136	C₁₃×#127	C₂³	1	1	yes	characteristic, complemented
137	C₁₃×#126	—	2	2	no	—
138	C₁₃×#126	—	2	1	no	—
139	C₁₃×#125	—	2	1	no	—
140	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
141	C₁₃×#124	—	2	2	no	—
142	C₁₃×#124	—	2	1	no	—
143	C₁₃×#124	C₂³	1	1	yes	characteristic, complemented
144	C₁₃×#123	—	2	2	no	—
145	C₁₃×#123	—	2	1	no	—
146	C₁₃×#123	—	2	2	no	—
147	C₁₃×#123	—	2	2	no	—
148	C₁₃×C₂²⋊Q₈	—	2	2	no	—
149	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
150	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	complemented
151	C₁₃×#121	—	2	2	no	—
152	C₁₃×#121	—	2	1	no	—
153	C₁₃×#121	—	2	2	no	—
154	C₁₃×#121	—	2	2	no	—
155	C₁₃×#121	—	2	2	no	—
156	C₁₃×#121	—	2	2	no	—
157	C₁₃×#121	—	2	1	no	—
158	C₁₃×#121	—	2	2	no	—
159	C₁₃×#121	—	2	2	no	—
160	C₁₃×#121	—	2	4	no	—
161	C₁₃×#121	—	2	1	no	—
162	C₁₃×#121	—	2	2	no	—
163	C₁₃×#121	—	2	2	no	—
164	C₁₃×#121	C₂³	1	1	yes	characteristic
165	C₁₃×#121	C₂³	1	2	yes	—
166	C₁₃×#121	C₂³	1	4	yes	—
167	C₁₃×#121	C₂³	1	4	yes	—
168	C₁₃×#121	C₂³	1	2	yes	complemented
169	C₁₃×#121	C₂³	1	2	yes	complemented
170	C₁₃×#121	C₂³	1	2	yes	complemented
171	C₁₃×#120	—	2	2	no	—
172	C₁₃×#120	—	2	2	no	—
173	C₁₃×#120	—	2	4	no	—
174	C₁₃×#120	—	2	4	no	—
175	C₁₃×#120	—	2	4	no	—
176	C₁₃×#120	—	2	4	no	—
177	C₁₃×#120	—	2	2	no	—
178	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
179	C₄×D₄×C₁₃	—	2	1	no	—
180	C₄×D₄×C₁₃	—	2	2	no	—
181	C₄×D₄×C₁₃	—	2	2	no	—
182	C₄×D₄×C₁₃	—	2	1	no	—
183	C₄×D₄×C₁₃	—	2	1	no	—
184	C₄×D₄×C₁₃	—	2	2	no	—
185	C₄×D₄×C₁₃	—	2	1	no	—
186	C₄×D₄×C₁₃	—	2	1	no	—
187	C₄×D₄×C₁₃	—	2	1	no	—
188	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
189	C₄×D₄×C₁₃	D₄	1	2	yes	—
190	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
191	C₄×D₄×C₁₃	C₂³	1	2	yes	—
192	C₄×D₄×C₁₃	C₂³	1	2	yes	—
193	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
194	C₄×D₄×C₁₃	C₂³	1	2	yes	—
195	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
196	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
197	C₄×D₄×C₁₃	C₂³	1	2	yes	complemented
198	C₁₃×#117	—	2	1	no	—
199	C₁₃×#117	—	2	1	no	—
200	C₁₃×#117	C₂³	1	2	yes	complemented
201	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
204	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
205	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
206	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
207	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
208	C₂×C₁₃×C₂²⋊C₄	D₄	1	2	yes	—
209	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
210	C₁₃×#107	C₂³	1	2	yes	complemented
211	C₁₃×#106	C₂³	1	2	yes	complemented
212	C₁₃×#106	C₂³	1	4	yes	complemented
213	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
214	C₁₃×C₄⋊C₈	C₂³	1	2	yes	complemented
215	C₁₃×#103	C₂³	1	2	yes	complemented
216	C₁₃×#102	C₂³	1	2	yes	—
217	C₁₃×#102	C₂³	1	4	yes	—
218	C₁₃×#102	C₂³	1	2	yes	—
219	C₁₃×#102	C₂³	1	4	yes	complemented
220	C₁₃×#102	C₂³	1	4	yes	complemented
221	C₁₃×#102	C₂³	1	4	yes	complemented
222	C₁₃×#102	C₂³	1	4	yes	complemented
223	C₁₃×#102	C₂³	1	2	yes	complemented
224	C₁₃×#102	C₂³	1	4	yes	complemented
225	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
227	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	complemented
229	C₁₃×C₂²⋊C₈	C₂³	1	4	yes	complemented
230	C₁₃×#97	C₂³	1	2	yes	complemented
231	C₄×C₈×C₁₃	C₂³	1	2	yes	complemented
232	#61591	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
233	C₂⁴×C₁₃	—	2	1	no	—
234	C₂⁴×C₁₃	—	2	2	no	—
235	C₂⁴×C₁₃	—	2	4	no	—
236	C₂⁴×C₁₃	—	2	4	no	—
237	C₂⁴×C₁₃	—	2	2	no	—
238	C₂⁴×C₁₃	—	4	8	no	—
239	C₂⁴×C₁₃	—	4	8	no	—
240	C₂⁴×C₁₃	—	8	4	no	—
241	C₂⁴×C₁₃	C₂×D₄	1	2	yes	—
242	C₁₃×#41	—	4	4	no	—
243	C₁₃×#41	—	8	2	no	—
244	C₂×Q₈×C₁₃	—	2	1	no	—
245	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
246	C₂×D₄×C₁₃	—	2	4	no	—
247	C₂×D₄×C₁₃	—	2	4	no	—
248	C₂×D₄×C₁₃	—	2	8	no	—
249	C₂×D₄×C₁₃	—	2	8	no	—
250	C₂×D₄×C₁₃	—	2	2	no	—
251	C₂×D₄×C₁₃	—	2	2	no	—
252	C₂×D₄×C₁₃	—	2	1	no	—
253	C₂×D₄×C₁₃	—	2	4	no	—
254	C₂×D₄×C₁₃	—	2	4	no	—
255	C₂×D₄×C₁₃	—	2	2	no	—
256	C₂×D₄×C₁₃	—	2	2	no	—
257	C₂×D₄×C₁₃	—	2	2	no	—
258	C₂×D₄×C₁₃	—	2	1	no	—
259	C₂×D₄×C₁₃	—	2	1	no	—
260	C₂×D₄×C₁₃	—	2	4	no	—
261	C₂×D₄×C₁₃	—	2	4	no	—
262	C₂×D₄×C₁₃	—	2	2	no	—
263	C₂×D₄×C₁₃	—	2	2	no	—
264	C₂×D₄×C₁₃	—	2	2	no	—
265	C₂×D₄×C₁₃	—	2	2	no	—
266	C₂×D₄×C₁₃	—	2	2	no	—
267	C₂×D₄×C₁₃	—	2	1	no	—
268	C₂×D₄×C₁₃	—	2	2	no	—
269	C₂×D₄×C₁₃	—	4	4	no	—
270	C₂×D₄×C₁₃	—	4	4	no	—
271	C₂×D₄×C₁₃	—	4	4	no	—
272	C₂×D₄×C₁₃	—	4	4	no	—
273	C₂×D₄×C₁₃	—	4	4	no	—
274	C₂×D₄×C₁₃	—	4	8	no	—
275	C₂×D₄×C₁₃	—	4	8	no	—
276	C₂×D₄×C₁₃	—	4	16	no	—
277	C₂×D₄×C₁₃	—	4	8	no	—
278	C₂×D₄×C₁₃	—	4	8	no	—
279	C₂×D₄×C₁₃	—	4	8	no	—
280	C₂×D₄×C₁₃	—	4	4	no	—
281	C₂×D₄×C₁₃	—	4	8	no	—
282	C₂×D₄×C₁₃	—	8	2	no	—
283	C₂×D₄×C₁₃	—	8	4	no	—
284	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
285	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
286	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
287	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
288	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
289	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
290	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
291	C₂²×C₄×C₁₃	—	2	1	no	—
292	C₂²×C₄×C₁₃	—	2	2	no	—
293	C₂²×C₄×C₁₃	—	2	1	no	—
294	C₂²×C₄×C₁₃	—	2	2	no	—
295	C₂²×C₄×C₁₃	—	2	2	no	—
296	C₂²×C₄×C₁₃	—	2	2	no	—
297	C₂²×C₄×C₁₃	—	2	2	no	—
298	C₂²×C₄×C₁₃	—	4	4	no	—
299	C₂²×C₄×C₁₃	—	4	4	no	—
300	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
301	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
302	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
303	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
304	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
305	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
307	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
308	C₁₃×SD₁₆	—	2	4	no	—
309	C₁₃×SD₁₆	—	4	4	no	—
310	C₁₃×D₈	—	2	4	no	—
311	C₁₃×D₈	—	2	8	no	—
312	C₁₃×D₈	—	4	4	no	—
313	C₁₃×D₈	—	4	4	no	—
314	C₁₃×D₈	—	4	4	no	—
315	C₁₃×M₁₆	—	4	4	no	—
316	C₂×C₈×C₁₃	—	4	4	no	—
317	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
318	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
319	C₂×C₈×C₁₃	C₂⁴	1	4	yes	—
320	C₁₃×C₄⋊C₄	—	2	1	no	—
321	C₁₃×C₄⋊C₄	—	2	2	no	—
322	C₁₃×C₄⋊C₄	—	2	1	no	—
323	C₁₃×C₄⋊C₄	—	2	1	no	—
324	C₁₃×C₄⋊C₄	—	2	1	no	—
325	C₁₃×C₄⋊C₄	—	2	1	no	—
326	C₁₃×C₄⋊C₄	—	2	2	no	—
327	C₁₃×C₄⋊C₄	—	2	1	no	—
328	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
329	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
330	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
331	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
332	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
333	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
334	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
335	C₁₃×C₂²⋊C₄	—	2	2	no	—
336	C₁₃×C₂²⋊C₄	—	2	2	no	—
337	C₁₃×C₂²⋊C₄	—	2	1	no	—
338	C₁₃×C₂²⋊C₄	—	2	1	no	—
339	C₁₃×C₂²⋊C₄	—	2	1	no	—
340	C₁₃×C₂²⋊C₄	—	2	2	no	—
341	C₁₃×C₂²⋊C₄	—	2	2	no	—
342	C₁₃×C₂²⋊C₄	—	2	2	no	—
343	C₁₃×C₂²⋊C₄	—	2	2	no	—
344	C₁₃×C₂²⋊C₄	—	2	2	no	—
345	C₁₃×C₂²⋊C₄	—	2	4	no	—
346	C₁₃×C₂²⋊C₄	—	2	4	no	—
347	C₁₃×C₂²⋊C₄	—	2	1	no	—
348	C₁₃×C₂²⋊C₄	—	2	2	no	—
349	C₁₃×C₂²⋊C₄	—	2	1	no	—
350	C₁₃×C₂²⋊C₄	—	2	2	no	—
351	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
352	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
353	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
354	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
355	C₄²×C₁₃	—	2	2	no	—
356	C₄²×C₁₃	—	2	1	no	—
357	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
361	#3519	C₂×C₁₃	1	1	yes	characteristic, complemented
362	C₂×D₄²	C₂×C₁₃	1	1	yes	characteristic, complemented
363	#3325	C₂×C₁₃	1	2	yes	complemented
364	#3318	C₂×C₁₃	1	4	yes	complemented
365	#3295	C₂×C₁₃	1	2	yes	complemented
366	D₄×D₈	C₂×C₁₃	1	2	yes	complemented
367	#3274	C₂×C₁₃	1	2	yes	complemented
368	#3264	C₂×C₁₃	1	4	yes	complemented
369	#3217	C₂×C₁₃	1	1	yes	characteristic, complemented
370	#3205	C₂×C₁₃	1	1	yes	characteristic, complemented
371	#3192	C₂×C₁₃	1	2	yes	complemented
372	#3188	C₂×C₁₃	1	2	yes	complemented
373	#3109	C₂×C₁₃	1	1	yes	characteristic, complemented
374	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
375	#3003	C₂×C₁₃	1	2	yes	complemented
376	C₂×#447	C₂×C₁₃	1	2	yes	complemented
377	#2974	C₂×C₁₃	1	1	yes	characteristic, complemented
378	C₂³×C₁₃	—	2	4	no	—
379	C₂³×C₁₃	—	2	4	no	—
380	C₂³×C₁₃	—	2	4	no	—
381	C₂³×C₁₃	—	2	2	no	—
382	C₂³×C₁₃	—	2	1	no	—
383	C₂³×C₁₃	—	2	2	no	—
384	C₂³×C₁₃	—	2	4	no	—
385	C₂³×C₁₃	—	4	2	no	—
386	C₂³×C₁₃	—	4	8	no	—
387	C₂³×C₁₃	—	4	8	no	—
388	C₂³×C₁₃	—	4	2	no	—
389	C₂³×C₁₃	—	4	4	no	—
390	C₂³×C₁₃	—	4	4	no	—
391	C₂³×C₁₃	—	4	8	no	—
392	C₂³×C₁₃	—	4	2	no	—
393	C₂³×C₁₃	—	4	8	no	—
394	C₂³×C₁₃	—	4	4	no	—
395	C₂³×C₁₃	—	4	4	no	—
396	C₂³×C₁₃	—	8	4	no	—
397	C₂³×C₁₃	—	8	4	no	—
398	C₂³×C₁₃	—	8	2	no	—
399	C₂³×C₁₃	—	8	2	no	—
400	C₂³×C₁₃	—	8	32	no	—
401	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
402	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
403	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
404	Q₈×C₁₃	—	2	2	no	—
405	Q₈×C₁₃	—	8	1	no	—
406	D₄×C₁₃	—	2	4	no	—
407	D₄×C₁₃	—	2	4	no	—
408	D₄×C₁₃	—	2	2	no	—
409	D₄×C₁₃	—	2	2	no	—
410	D₄×C₁₃	—	2	2	no	—
411	D₄×C₁₃	—	2	4	no	—
412	D₄×C₁₃	—	2	4	no	—
413	D₄×C₁₃	—	2	4	no	—
414	D₄×C₁₃	—	4	8	no	—
415	D₄×C₁₃	—	4	8	no	—
416	D₄×C₁₃	—	4	4	no	—
417	D₄×C₁₃	—	4	4	no	—
418	D₄×C₁₃	—	4	8	no	—
419	D₄×C₁₃	—	4	4	no	—
420	D₄×C₁₃	—	4	8	no	—
421	D₄×C₁₃	—	4	2	no	—
422	D₄×C₁₃	—	4	4	no	—
423	D₄×C₁₃	—	4	2	no	—
424	D₄×C₁₃	—	4	4	no	—
425	D₄×C₁₃	—	8	2	no	—
426	D₄×C₁₃	—	8	2	no	—
427	D₄×C₁₃	—	8	2	no	—
428	D₄×C₁₃	—	8	1	no	—
429	D₄×C₁₃	—	8	2	no	—
430	D₄×C₁₃	—	8	2	no	—
431	D₄×C₁₃	—	8	2	no	—
432	D₄×C₁₃	AGL(1,ℤ/8)	1	4	yes	complemented
433	D₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
434	C₂×C₄×C₁₃	—	2	2	no	—
435	C₂×C₄×C₁₃	—	2	2	no	—
436	C₂×C₄×C₁₃	—	2	4	no	—
437	C₂×C₄×C₁₃	—	2	4	no	—
438	C₂×C₄×C₁₃	—	2	2	no	—
439	C₂×C₄×C₁₃	—	2	1	no	—
440	C₂×C₄×C₁₃	—	2	1	no	—
441	C₂×C₄×C₁₃	—	2	2	no	—
442	C₂×C₄×C₁₃	—	2	1	no	—
443	C₂×C₄×C₁₃	—	2	2	no	—
444	C₂×C₄×C₁₃	—	4	2	no	—
445	C₂×C₄×C₁₃	—	4	2	no	—
446	C₂×C₄×C₁₃	—	4	2	no	—
447	C₂×C₄×C₁₃	—	4	4	no	—
448	C₂×C₄×C₁₃	—	4	2	no	—
449	C₂×C₄×C₁₃	—	4	4	no	—
450	C₂×C₄×C₁₃	—	4	2	no	—
451	C₂×C₄×C₁₃	—	8	2	no	—
452	C₂×C₄×C₁₃	—	8	2	no	—
453	C₂×C₄×C₁₃	—	8	2	no	—
454	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
455	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
456	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
457	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
458	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
459	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
460	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
461	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
462	C₈×C₁₃	—	2	2	no	—
463	C₈×C₁₃	—	2	4	no	—
464	C₈×C₁₃	—	2	2	no	—
465	C₂³×D₄	—	2	1	no	—
466	C₂³×D₄	C₂²×C₁₃	1	2	yes	complemented
467	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	4	yes	complemented
468	C₂²×D₈	C₂²×C₁₃	1	4	yes	complemented
469	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
470	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
471	#553	—	2	1	no	—
472	#553	C₂²×C₁₃	1	2	yes	complemented
473	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
474	#546	—	2	2	no	—
475	#546	C₂²×C₁₃	1	2	yes	complemented
476	D₄²	—	2	1	no	—
477	D₄²	—	2	1	no	—
478	D₄²	—	2	2	no	—
479	D₄²	—	2	1	no	—
480	D₄²	C₂²×C₁₃	1	2	yes	—
481	D₄²	C₂²×C₁₃	1	4	yes	complemented
482	D₄²	C₂²×C₁₃	1	2	yes	complemented
483	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
484	#540	—	2	1	no	—
485	#538	—	2	2	no	—
486	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
487	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
488	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
489	#525	C₂²×C₁₃	1	2	yes	complemented
490	C₂×#121	—	2	1	no	—
491	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
492	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
493	C₂×#120	—	2	2	no	—
494	#518	—	2	1	no	—
495	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
496	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
497	#496	C₂²×C₁₃	1	2	yes	complemented
498	#493	C₂²×C₁₃	1	2	yes	complemented
499	#490	C₂²×C₁₃	1	2	yes	complemented
500	#486	C₂²×C₁₃	1	2	yes	complemented
501	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
502	#482	C₂²×C₁₃	1	4	yes	complemented
503	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
504	#481	C₂²×C₁₃	1	2	yes	complemented
505	#481	C₂²×C₁₃	1	4	yes	complemented
506	#478	C₂²×C₁₃	1	2	yes	complemented
507	#476	C₂²×C₁₃	1	2	yes	complemented
508	#469	C₂²×C₁₃	1	4	yes	complemented
509	#469	C₂²×C₁₃	1	4	yes	complemented
510	#466	C₂²×C₁₃	1	4	yes	complemented
511	#465	C₂²×C₁₃	1	4	yes	complemented
512	#463	C₂²×C₁₃	1	2	yes	complemented
513	#460	C₂²×C₁₃	1	2	yes	complemented
514	#459	C₂²×C₁₃	1	2	yes	complemented
515	#459	C₂²×C₁₃	1	4	yes	complemented
516	#459	C₂²×C₁₃	1	2	yes	complemented
517	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
518	#450	C₂²×C₁₃	1	2	yes	complemented
519	#450	C₂²×C₁₃	1	4	yes	complemented
520	#449	C₂²×C₁₃	1	4	yes	complemented
521	#447	C₂²×C₁₃	1	1	yes	characteristic
522	#447	C₂²×C₁₃	1	2	yes	complemented
523	#447	C₂²×C₁₃	1	2	yes	complemented
524	#447	C₂²×C₁₃	1	2	yes	complemented
525	#447	C₂²×C₁₃	1	2	yes	complemented
526	#447	C₂²×C₁₃	1	4	yes	complemented
527	#447	C₂²×C₁₃	1	4	yes	complemented
528	#447	C₂²×C₁₃	1	4	yes	complemented
529	#447	C₂²×C₁₃	1	4	yes	complemented
530	#442	C₂²×C₁₃	1	4	yes	complemented
531	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
532	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
533	#436	C₂²×C₁₃	1	2	yes	complemented
534	#435	C₂²×C₁₃	1	4	yes	complemented
535	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
536	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
537	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
538	#418	C₂²×C₁₃	1	4	yes	complemented
539	C₂×#102	C₂²×C₁₃	1	4	yes	complemented
540	#407	C₂²×C₁₃	1	2	yes	complemented
541	C₂×C₂²⋊C₈	C₂²×C₁₃	1	2	yes	complemented
542	C₂²×C₁₃	—	2	1	no	—
543	C₂²×C₁₃	—	2	2	no	—
544	C₂²×C₁₃	—	2	1	no	—
545	C₂²×C₁₃	—	2	2	no	—
546	C₂²×C₁₃	—	2	2	no	—
547	C₂²×C₁₃	—	2	4	no	—
548	C₂²×C₁₃	—	2	2	no	—
549	C₂²×C₁₃	—	2	2	no	—
550	C₂²×C₁₃	—	4	8	no	—
551	C₂²×C₁₃	—	4	8	no	—
552	C₂²×C₁₃	—	4	2	no	—
553	C₂²×C₁₃	—	4	2	no	—
554	C₂²×C₁₃	—	4	2	no	—
555	C₂²×C₁₃	—	4	4	no	—
556	C₂²×C₁₃	—	4	1	no	—
557	C₂²×C₁₃	—	4	1	no	—
558	C₂²×C₁₃	—	4	4	no	—
559	C₂²×C₁₃	—	4	2	no	—
560	C₂²×C₁₃	—	4	2	no	—
561	C₂²×C₁₃	—	4	1	no	—
562	C₂²×C₁₃	—	4	4	no	—
563	C₂²×C₁₃	—	8	16	no	—
564	C₂²×C₁₃	—	8	8	no	—
565	C₂²×C₁₃	—	8	16	no	—
566	C₂²×C₁₃	—	16	4	no	—
567	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	4	yes	—
568	C₂²×C₁₃	#576	1	2	yes	—
569	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
570	C₄×C₁₃	—	2	1	no	—
571	C₄×C₁₃	—	2	2	no	—
572	C₄×C₁₃	—	2	2	no	—
573	C₄×C₁₃	—	2	1	no	—
574	C₄×C₁₃	—	2	1	no	—
575	C₄×C₁₃	—	2	1	no	—
576	C₄×C₁₃	—	4	1	no	—
577	C₄×C₁₃	—	4	2	no	—
578	C₄×C₁₃	—	4	1	no	—
579	C₄×C₁₃	—	4	1	no	—
580	C₄×C₁₃	—	4	2	no	—
581	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
582	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
583	C₂⁵	—	2	2	no	—
584	C₂×#41	—	2	1	no	—
585	C₂×#41	C₂³×C₁₃	1	2	yes	complemented
586	C₂²×D₄	—	2	2	no	—
587	C₂²×D₄	—	2	2	no	—
588	C₂²×D₄	—	2	1	no	—
589	C₂²×D₄	—	2	2	no	—
590	C₂²×D₄	—	2	4	no	—
591	C₂²×D₄	—	2	2	no	—
592	C₂²×D₄	—	2	2	no	—
593	C₂²×D₄	—	2	1	no	—
594	C₂²×D₄	—	2	2	no	—
595	C₂²×D₄	—	2	2	no	—
596	C₂²×D₄	—	2	1	no	—
597	C₂²×D₄	—	4	8	no	—
598	C₂²×D₄	—	4	8	no	—
599	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
600	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
601	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
602	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
603	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
604	C₂²×D₄	C₂³×C₁₃	1	2	yes	complemented
605	C₂³×C₄	—	2	1	no	—
606	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
607	AGL(1,ℤ/8)	—	4	8	no	—
608	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
609	C₂×SD₁₆	C₂³×C₁₃	1	4	yes	complemented
610	C₂×D₈	—	4	8	no	—
611	C₂×D₈	C₂³×C₁₃	1	2	yes	—
612	C₂×D₈	C₂³×C₁₃	1	4	yes	—
613	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
614	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
615	C₂×D₈	C₂³×C₁₃	1	4	yes	complemented
616	C₂×M₁₆	C₂³×C₁₃	1	4	yes	complemented
617	C₂²×C₈	C₂³×C₁₃	1	4	yes	complemented
618	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
619	#127	—	2	1	no	—
620	#127	—	2	1	no	—
621	#127	—	2	1	no	—
622	#127	C₂³×C₁₃	1	2	yes	—
623	#127	C₂³×C₁₃	1	2	yes	—
624	#127	C₂³×C₁₃	1	1	yes	characteristic, complemented
625	#126	—	2	2	no	—
626	#126	—	2	1	no	—
627	#125	—	2	1	no	—
628	#125	C₂³×C₁₃	1	1	yes	characteristic, complemented
629	#124	—	2	2	no	—
630	#124	—	2	1	no	—
631	#124	C₂³×C₁₃	1	1	yes	characteristic, complemented
632	#123	—	2	2	no	—
633	#123	—	2	1	no	—
634	#123	—	2	2	no	—
635	#123	—	2	2	no	—
636	C₂²⋊Q₈	—	2	2	no	—
637	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
638	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	complemented
639	#121	—	2	2	no	—
640	#121	—	2	1	no	—
641	#121	—	2	2	no	—
642	#121	—	2	2	no	—
643	#121	—	2	2	no	—
644	#121	—	2	2	no	—
645	#121	—	2	1	no	—
646	#121	—	2	2	no	—
647	#121	—	2	2	no	—
648	#121	—	2	4	no	—
649	#121	—	2	1	no	—
650	#121	—	2	2	no	—
651	#121	—	2	2	no	—
652	#121	C₂³×C₁₃	1	1	yes	characteristic
653	#121	C₂³×C₁₃	1	2	yes	—
654	#121	C₂³×C₁₃	1	4	yes	—
655	#121	C₂³×C₁₃	1	4	yes	—
656	#121	C₂³×C₁₃	1	2	yes	complemented
657	#121	C₂³×C₁₃	1	2	yes	complemented
658	#121	C₂³×C₁₃	1	2	yes	complemented
659	#120	—	2	2	no	—
660	#120	—	2	2	no	—
661	#120	—	2	4	no	—
662	#120	—	2	4	no	—
663	#120	—	2	4	no	—
664	#120	—	2	4	no	—
665	#120	—	2	2	no	—
666	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic, complemented
667	C₄×D₄	—	2	1	no	—
668	C₄×D₄	—	2	2	no	—
669	C₄×D₄	—	2	2	no	—
670	C₄×D₄	—	2	1	no	—
671	C₄×D₄	—	2	1	no	—
672	C₄×D₄	—	2	2	no	—
673	C₄×D₄	—	2	1	no	—
674	C₄×D₄	—	2	1	no	—
675	C₄×D₄	—	2	1	no	—
676	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
677	C₄×D₄	D₄×C₁₃	1	2	yes	—
678	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
679	C₄×D₄	C₂³×C₁₃	1	2	yes	—
680	C₄×D₄	C₂³×C₁₃	1	2	yes	—
681	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
682	C₄×D₄	C₂³×C₁₃	1	2	yes	—
683	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
684	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic, complemented
685	C₄×D₄	C₂³×C₁₃	1	2	yes	complemented
686	#117	—	2	1	no	—
687	#117	—	2	1	no	—
688	#117	C₂³×C₁₃	1	2	yes	complemented
689	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
690	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
691	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	complemented
692	C₂×C₂²⋊C₄	—	2	1	no	—
693	C₂×C₂²⋊C₄	—	2	2	no	—
694	C₂×C₂²⋊C₄	—	2	2	no	—
695	C₂×C₂²⋊C₄	—	2	2	no	—
696	C₂×C₂²⋊C₄	D₄×C₁₃	1	2	yes	—
697	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
698	#107	C₂³×C₁₃	1	2	yes	complemented
699	#106	C₂³×C₁₃	1	2	yes	complemented
700	#106	C₂³×C₁₃	1	4	yes	complemented
701	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
702	C₄⋊C₈	C₂³×C₁₃	1	2	yes	complemented
703	#103	C₂³×C₁₃	1	2	yes	complemented
704	#102	C₂³×C₁₃	1	2	yes	—
705	#102	C₂³×C₁₃	1	4	yes	—
706	#102	C₂³×C₁₃	1	2	yes	—
707	#102	C₂³×C₁₃	1	4	yes	complemented
708	#102	C₂³×C₁₃	1	4	yes	complemented
709	#102	C₂³×C₁₃	1	4	yes	complemented
710	#102	C₂³×C₁₃	1	4	yes	complemented
711	#102	C₂³×C₁₃	1	2	yes	complemented
712	#102	C₂³×C₁₃	1	4	yes	complemented
713	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
714	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
715	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
716	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	complemented
717	C₂²⋊C₈	C₂³×C₁₃	1	4	yes	complemented
718	#97	C₂³×C₁₃	1	2	yes	complemented
719	C₄×C₈	C₂³×C₁₃	1	2	yes	complemented
720	C₂×C₁₃	—	2	2	no	—
721	C₂×C₁₃	—	2	4	no	—
722	C₂×C₁₃	—	4	2	no	—
723	C₂×C₁₃	—	4	4	no	—
724	C₂×C₁₃	—	8	4	no	—
725	C₂×C₁₃	—	8	2	no	—
726	C₂×C₁₃	—	8	1	no	—
727	C₂×C₁₃	#3484	1	1	yes	characteristic
728	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
729	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
730	C₂⁴	—	2	1	no	—
731	C₂⁴	—	2	2	no	—
732	C₂⁴	—	2	4	no	—
733	C₂⁴	—	2	4	no	—
734	C₂⁴	—	2	2	no	—
735	C₂⁴	—	4	8	no	—
736	C₂⁴	—	4	8	no	—
737	C₂⁴	—	8	4	no	—
738	C₂⁴	C₂×D₄×C₁₃	1	2	yes	—
739	#41	—	4	4	no	—
740	#41	—	8	2	no	—
741	C₂×Q₈	—	2	1	no	—
742	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
743	C₂×D₄	—	2	4	no	—
744	C₂×D₄	—	2	4	no	—
745	C₂×D₄	—	2	8	no	—
746	C₂×D₄	—	2	8	no	—
747	C₂×D₄	—	2	2	no	—
748	C₂×D₄	—	2	2	no	—
749	C₂×D₄	—	2	1	no	—
750	C₂×D₄	—	2	4	no	—
751	C₂×D₄	—	2	4	no	—
752	C₂×D₄	—	2	2	no	—
753	C₂×D₄	—	2	2	no	—
754	C₂×D₄	—	2	2	no	—
755	C₂×D₄	—	2	1	no	—
756	C₂×D₄	—	2	1	no	—
757	C₂×D₄	—	2	4	no	—
758	C₂×D₄	—	2	4	no	—
759	C₂×D₄	—	2	2	no	—
760	C₂×D₄	—	2	2	no	—
761	C₂×D₄	—	2	2	no	—
762	C₂×D₄	—	2	2	no	—
763	C₂×D₄	—	2	2	no	—
764	C₂×D₄	—	2	1	no	—
765	C₂×D₄	—	2	2	no	—
766	C₂×D₄	—	4	4	no	—
767	C₂×D₄	—	4	4	no	—
768	C₂×D₄	—	4	4	no	—
769	C₂×D₄	—	4	4	no	—
770	C₂×D₄	—	4	4	no	—
771	C₂×D₄	—	4	8	no	—
772	C₂×D₄	—	4	8	no	—
773	C₂×D₄	—	4	16	no	—
774	C₂×D₄	—	4	8	no	—
775	C₂×D₄	—	4	8	no	—
776	C₂×D₄	—	4	8	no	—
777	C₂×D₄	—	4	8	no	—
778	C₂×D₄	—	4	4	no	—
779	C₂×D₄	—	8	2	no	—
780	C₂×D₄	—	8	4	no	—
781	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
782	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
783	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
784	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
785	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
786	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
787	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
788	C₂²×C₄	—	2	1	no	—
789	C₂²×C₄	—	2	2	no	—
790	C₂²×C₄	—	2	1	no	—
791	C₂²×C₄	—	2	2	no	—
792	C₂²×C₄	—	2	2	no	—
793	C₂²×C₄	—	2	2	no	—
794	C₂²×C₄	—	2	2	no	—
795	C₂²×C₄	—	4	4	no	—
796	C₂²×C₄	—	4	4	no	—
797	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
798	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
799	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
800	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
801	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
802	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
803	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
804	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
805	SD₁₆	—	2	4	no	—
806	SD₁₆	—	4	4	no	—
807	D₈	—	2	4	no	—
808	D₈	—	2	8	no	—
809	D₈	—	4	4	no	—
810	D₈	—	4	4	no	—
811	D₈	—	4	4	no	—
812	M₁₆	—	4	4	no	—
813	C₂×C₈	—	4	4	no	—
814	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
815	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
816	C₂×C₈	C₂⁴×C₁₃	1	4	yes	—
817	C₄⋊C₄	—	2	1	no	—
818	C₄⋊C₄	—	2	2	no	—
819	C₄⋊C₄	—	2	1	no	—
820	C₄⋊C₄	—	2	1	no	—
821	C₄⋊C₄	—	2	1	no	—
822	C₄⋊C₄	—	2	1	no	—
823	C₄⋊C₄	—	2	2	no	—
824	C₄⋊C₄	—	2	1	no	—
825	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
826	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
827	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
828	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
829	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
830	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
831	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
832	C₂²⋊C₄	—	2	2	no	—
833	C₂²⋊C₄	—	2	2	no	—
834	C₂²⋊C₄	—	2	1	no	—
835	C₂²⋊C₄	—	2	1	no	—
836	C₂²⋊C₄	—	2	1	no	—
837	C₂²⋊C₄	—	2	2	no	—
838	C₂²⋊C₄	—	2	2	no	—
839	C₂²⋊C₄	—	2	2	no	—
840	C₂²⋊C₄	—	2	2	no	—
841	C₂²⋊C₄	—	2	2	no	—
842	C₂²⋊C₄	—	2	4	no	—
843	C₂²⋊C₄	—	2	4	no	—
844	C₂²⋊C₄	—	2	1	no	—
845	C₂²⋊C₄	—	2	2	no	—
846	C₂²⋊C₄	—	2	1	no	—
847	C₂²⋊C₄	—	2	2	no	—
848	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
849	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
850	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
851	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
852	C₄²	—	2	2	no	—
853	C₄²	—	2	1	no	—
854	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
855	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
856	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
857	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
858	C₁₃	#61591	1	1	yes	characteristic, direct product factor, Sylow
859	C₂³	—	2	4	no	—
860	C₂³	—	2	4	no	—
861	C₂³	—	2	4	no	—
862	C₂³	—	2	2	no	—
863	C₂³	—	2	1	no	—
864	C₂³	—	2	2	no	—
865	C₂³	—	2	4	no	—
866	C₂³	—	4	2	no	—
867	C₂³	—	4	8	no	—
868	C₂³	—	4	8	no	—
869	C₂³	—	4	2	no	—
870	C₂³	—	4	4	no	—
871	C₂³	—	4	4	no	—
872	C₂³	—	4	8	no	—
873	C₂³	—	4	2	no	—
874	C₂³	—	4	8	no	—
875	C₂³	—	4	4	no	—
876	C₂³	—	4	4	no	—
877	C₂³	—	8	4	no	—
878	C₂³	—	8	4	no	—
879	C₂³	—	8	2	no	—
880	C₂³	—	8	2	no	—
881	C₂³	—	8	32	no	—
882	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
883	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
884	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
885	Q₈	—	2	2	no	—
886	Q₈	—	8	1	no	—
887	D₄	—	2	4	no	—
888	D₄	—	2	4	no	—
889	D₄	—	2	2	no	—
890	D₄	—	2	2	no	—
891	D₄	—	2	2	no	—
892	D₄	—	2	4	no	—
893	D₄	—	2	4	no	—
894	D₄	—	2	4	no	—
895	D₄	—	4	8	no	—
896	D₄	—	4	8	no	—
897	D₄	—	4	4	no	—
898	D₄	—	4	4	no	—
899	D₄	—	4	8	no	—
900	D₄	—	4	8	no	—
901	D₄	—	4	4	no	—
902	D₄	—	4	2	no	—
903	D₄	—	4	4	no	—
904	D₄	—	4	4	no	—
905	D₄	—	4	2	no	—
906	D₄	—	8	2	no	—
907	D₄	—	8	2	no	—
908	D₄	—	8	2	no	—
909	D₄	—	8	1	no	—
910	D₄	—	8	2	no	—
911	D₄	—	8	2	no	—
912	D₄	—	8	2	no	—
913	D₄	C₁₃×AGL(1,ℤ/8)	1	4	yes	complemented
914	D₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
915	C₂×C₄	—	2	2	no	—
916	C₂×C₄	—	2	2	no	—
917	C₂×C₄	—	2	4	no	—
918	C₂×C₄	—	2	4	no	—
919	C₂×C₄	—	2	2	no	—
920	C₂×C₄	—	2	1	no	—
921	C₂×C₄	—	2	1	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	2	1	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	4	2	no	—
926	C₂×C₄	—	4	2	no	—
927	C₂×C₄	—	4	2	no	—
928	C₂×C₄	—	4	4	no	—
929	C₂×C₄	—	4	2	no	—
930	C₂×C₄	—	4	4	no	—
931	C₂×C₄	—	4	2	no	—
932	C₂×C₄	—	8	2	no	—
933	C₂×C₄	—	8	2	no	—
934	C₂×C₄	—	8	2	no	—
935	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
936	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
937	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
938	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
939	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
940	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
941	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
942	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
943	C₈	—	2	2	no	—
944	C₈	—	2	4	no	—
945	C₈	—	2	2	no	—
946	C₂²	—	2	1	no	—
947	C₂²	—	2	2	no	—
948	C₂²	—	2	1	no	—
949	C₂²	—	2	2	no	—
950	C₂²	—	2	2	no	—
951	C₂²	—	2	2	no	—
952	C₂²	—	2	2	no	—
953	C₂²	—	2	4	no	—
954	C₂²	—	4	8	no	—
955	C₂²	—	4	8	no	—
956	C₂²	—	4	2	no	—
957	C₂²	—	4	2	no	—
958	C₂²	—	4	1	no	—
959	C₂²	—	4	4	no	—
960	C₂²	—	4	2	no	—
961	C₂²	—	4	2	no	—
962	C₂²	—	4	1	no	—
963	C₂²	—	4	4	no	—
964	C₂²	—	4	2	no	—
965	C₂²	—	4	4	no	—
966	C₂²	—	4	1	no	—
967	C₂²	—	8	16	no	—
968	C₂²	—	8	8	no	—
969	C₂²	—	8	16	no	—
970	C₂²	—	16	4	no	—
971	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	4	yes	—
972	C₂²	C₁₃×#576	1	2	yes	—
973	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
974	C₄	—	2	1	no	—
975	C₄	—	2	1	no	—
976	C₄	—	2	1	no	—
977	C₄	—	2	1	no	—
978	C₄	—	2	2	no	—
979	C₄	—	2	2	no	—
980	C₄	—	4	2	no	—
981	C₄	—	4	1	no	—
982	C₄	—	4	1	no	—
983	C₄	—	4	2	no	—
984	C₄	—	4	1	no	—
985	C₄	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
986	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
987	C₂	—	2	2	no	—
988	C₂	—	2	4	no	—
989	C₂	—	4	2	no	—
990	C₂	—	4	4	no	—
991	C₂	—	8	4	no	—
992	C₂	—	8	1	no	—
993	C₂	—	8	2	no	—
994	C₂	C₁₃×#3484	1	1	yes	characteristic
995	C₂	C₂²×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
996	C₂	C₂×C₁₃×#576	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3519	C₂	semidirect
2. C₂×D₄²×C₁₃	C₂	semidirect
3. C₁₃×#3325	C₂	semidirect
4. C₁₃×#3318	C₂	semidirect
5. C₁₃×#3295	C₂	semidirect
6. D₄×C₁₃×D₈	C₂	semidirect
7. C₁₃×#3274	C₂	semidirect
8. C₁₃×#3264	C₂	semidirect
9. C₁₃×#3217	C₂	semidirect
10. C₁₃×#3205	C₂	semidirect
11. C₁₃×#3192	C₂	semidirect
12. C₁₃×#3188	C₂	semidirect
13. C₁₃×#3109	C₂	semidirect
14. C₁₃×#3105	C₂	semidirect
15. C₁₃×#3003	C₂	semidirect
16. C₂×C₁₃×#447	C₂	semidirect
17. C₁₃×#2974	C₂	semidirect
19. C₂³×D₄×C₁₃	C₂²	semidirect
20. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
21. C₂²×C₁₃×D₈	C₂²	semidirect
22. C₁₃×#555	C₂²	semidirect
23. C₁₃×#554	C₂²	semidirect
25. C₁₃×#553	C₂²	semidirect
26. C₁₃×#550	C₂²	semidirect
28. C₁₃×#546	C₂²	semidirect
34. D₄²×C₁₃	C₂²	semidirect
35. D₄²×C₁₃	C₂²	semidirect
36. D₄²×C₁₃	C₂²	semidirect
39. C₁₃×#532	C₂²	semidirect
40. C₂×C₁₃×#127	C₂²	semidirect
41. C₁₃×#529	C₂²	semidirect
42. C₁₃×#525	C₂²	semidirect
44. C₂×C₁₃×#121	C₂²	semidirect
45. C₂×C₁₃×#121	C₂²	semidirect
49. C₂×C₄×D₄×C₁₃	C₂²	semidirect
50. C₁₃×#496	C₂²	semidirect
51. C₁₃×#493	C₂²	semidirect
52. C₁₃×#490	C₂²	semidirect
53. C₁₃×#486	C₂²	semidirect
54. C₁₃×#484	C₂²	semidirect
55. C₁₃×#482	C₂²	semidirect
56. C₁₃×#481	C₂²	semidirect
57. C₁₃×#481	C₂²	semidirect
58. C₁₃×#481	C₂²	semidirect
59. C₁₃×#478	C₂²	semidirect
60. C₁₃×#476	C₂²	semidirect
61. C₁₃×#469	C₂²	semidirect
62. C₁₃×#469	C₂²	semidirect
63. C₁₃×#466	C₂²	semidirect
64. C₁₃×#465	C₂²	semidirect
65. C₁₃×#463	C₂²	semidirect
66. C₁₃×#460	C₂²	semidirect
67. C₁₃×#459	C₂²	semidirect
68. C₁₃×#459	C₂²	semidirect
69. C₁₃×#459	C₂²	semidirect
70. C₁₃×#450	C₂²	semidirect
71. C₁₃×#450	C₂²	semidirect
72. C₁₃×#450	C₂²	semidirect
73. C₁₃×#449	C₂²	semidirect
75. C₁₃×#447	C₂²	semidirect
76. C₁₃×#447	C₂²	semidirect
77. C₁₃×#447	C₂²	semidirect
78. C₁₃×#447	C₂²	semidirect
79. C₁₃×#447	C₂²	semidirect
80. C₁₃×#447	C₂²	semidirect
81. C₁₃×#447	C₂²	semidirect
82. C₁₃×#447	C₂²	semidirect
83. C₁₃×#442	C₂²	semidirect
84. C₄×C₁₃×SD₁₆	C₂²	semidirect
85. C₄×C₁₃×D₈	C₂²	semidirect
86. C₁₃×#436	C₂²	semidirect
87. C₁₃×#435	C₂²	semidirect
88. C₈×D₄×C₁₃	C₂²	semidirect
89. C₁₃×#432	C₂²	semidirect
90. C₁₃×#431	C₂²	semidirect
91. C₁₃×#418	C₂²	semidirect
92. C₂×C₁₃×#102	C₂²	semidirect
93. C₁₃×#407	C₂²	semidirect
94. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
97. C₂×C₁₃×#41	C₂³	semidirect
116. C₂²×D₄×C₁₃	C₂³	semidirect
121. C₂×C₁₃×SD₁₆	C₂³	semidirect
125. C₂×C₁₃×D₈	C₂³	semidirect
126. C₂×C₁₃×D₈	C₂³	semidirect
127. C₂×C₁₃×D₈	C₂³	semidirect
128. C₂×C₁₃×M₁₆	C₂³	semidirect
129. C₂²×C₈×C₁₃	C₂³	semidirect
130. C₁₃×C₄⋊Q₈	C₂³	semidirect
136. C₁₃×#127	C₂³	semidirect
140. C₁₃×#125	C₂³	semidirect
143. C₁₃×#124	C₂³	semidirect
150. C₁₃×C₂²⋊Q₈	C₂³	semidirect
168. C₁₃×#121	C₂³	semidirect
169. C₁₃×#121	C₂³	semidirect
170. C₁₃×#121	C₂³	semidirect
178. C₄×Q₈×C₁₃	C₂³	semidirect
196. C₄×D₄×C₁₃	C₂³	semidirect
197. C₄×D₄×C₁₃	C₂³	semidirect
200. C₁₃×#117	C₂³	semidirect
203. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
210. C₁₃×#107	C₂³	semidirect
211. C₁₃×#106	C₂³	semidirect
212. C₁₃×#106	C₂³	semidirect
213. C₁₃×C₄⋊C₈	C₂³	semidirect
214. C₁₃×C₄⋊C₈	C₂³	semidirect
215. C₁₃×#103	C₂³	semidirect
219. C₁₃×#102	C₂³	semidirect
220. C₁₃×#102	C₂³	semidirect
221. C₁₃×#102	C₂³	semidirect
222. C₁₃×#102	C₂³	semidirect
223. C₁₃×#102	C₂³	semidirect
224. C₁₃×#102	C₂³	semidirect
228. C₁₃×C₂²⋊C₈	C₂³	semidirect
229. C₁₃×C₂²⋊C₈	C₂³	semidirect
230. C₁₃×#97	C₂³	semidirect
231. C₄×C₈×C₁₃	C₂³	semidirect
232. #61591	C₁₃	direct (N × H)
361. #3519	C₂×C₁₃	semidirect
362. C₂×D₄²	C₂×C₁₃	semidirect
363. #3325	C₂×C₁₃	semidirect
364. #3318	C₂×C₁₃	semidirect
365. #3295	C₂×C₁₃	semidirect
366. D₄×D₈	C₂×C₁₃	semidirect
367. #3274	C₂×C₁₃	semidirect
368. #3264	C₂×C₁₃	semidirect
369. #3217	C₂×C₁₃	semidirect
370. #3205	C₂×C₁₃	semidirect
371. #3192	C₂×C₁₃	semidirect
372. #3188	C₂×C₁₃	semidirect
373. #3109	C₂×C₁₃	semidirect
374. #3105	C₂×C₁₃	semidirect
375. #3003	C₂×C₁₃	semidirect
376. C₂×#447	C₂×C₁₃	semidirect
377. #2974	C₂×C₁₃	semidirect
432. D₄×C₁₃	AGL(1,ℤ/8)	semidirect
466. C₂³×D₄	C₂²×C₁₃	semidirect
467. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
468. C₂²×D₈	C₂²×C₁₃	semidirect
469. #555	C₂²×C₁₃	semidirect
470. #554	C₂²×C₁₃	semidirect
472. #553	C₂²×C₁₃	semidirect
473. #550	C₂²×C₁₃	semidirect
475. #546	C₂²×C₁₃	semidirect
481. D₄²	C₂²×C₁₃	semidirect
482. D₄²	C₂²×C₁₃	semidirect
483. D₄²	C₂²×C₁₃	semidirect
486. #532	C₂²×C₁₃	semidirect
487. C₂×#127	C₂²×C₁₃	semidirect
488. #529	C₂²×C₁₃	semidirect
489. #525	C₂²×C₁₃	semidirect
491. C₂×#121	C₂²×C₁₃	semidirect
492. C₂×#121	C₂²×C₁₃	semidirect
496. C₂×C₄×D₄	C₂²×C₁₃	semidirect
497. #496	C₂²×C₁₃	semidirect
498. #493	C₂²×C₁₃	semidirect
499. #490	C₂²×C₁₃	semidirect
500. #486	C₂²×C₁₃	semidirect
501. #484	C₂²×C₁₃	semidirect
502. #482	C₂²×C₁₃	semidirect
503. #481	C₂²×C₁₃	semidirect
504. #481	C₂²×C₁₃	semidirect
505. #481	C₂²×C₁₃	semidirect
506. #478	C₂²×C₁₃	semidirect
507. #476	C₂²×C₁₃	semidirect
508. #469	C₂²×C₁₃	semidirect
509. #469	C₂²×C₁₃	semidirect
510. #466	C₂²×C₁₃	semidirect
511. #465	C₂²×C₁₃	semidirect
512. #463	C₂²×C₁₃	semidirect
513. #460	C₂²×C₁₃	semidirect
514. #459	C₂²×C₁₃	semidirect
515. #459	C₂²×C₁₃	semidirect
516. #459	C₂²×C₁₃	semidirect
517. #450	C₂²×C₁₃	semidirect
518. #450	C₂²×C₁₃	semidirect
519. #450	C₂²×C₁₃	semidirect
520. #449	C₂²×C₁₃	semidirect
522. #447	C₂²×C₁₃	semidirect
523. #447	C₂²×C₁₃	semidirect
524. #447	C₂²×C₁₃	semidirect
525. #447	C₂²×C₁₃	semidirect
526. #447	C₂²×C₁₃	semidirect
527. #447	C₂²×C₁₃	semidirect
528. #447	C₂²×C₁₃	semidirect
529. #447	C₂²×C₁₃	semidirect
530. #442	C₂²×C₁₃	semidirect
531. C₄×SD₁₆	C₂²×C₁₃	semidirect
532. C₄×D₈	C₂²×C₁₃	semidirect
533. #436	C₂²×C₁₃	semidirect
534. #435	C₂²×C₁₃	semidirect
535. C₈×D₄	C₂²×C₁₃	semidirect
536. #432	C₂²×C₁₃	semidirect
537. #431	C₂²×C₁₃	semidirect
538. #418	C₂²×C₁₃	semidirect
539. C₂×#102	C₂²×C₁₃	semidirect
540. #407	C₂²×C₁₃	semidirect
541. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
585. C₂×#41	C₂³×C₁₃	semidirect
604. C₂²×D₄	C₂³×C₁₃	semidirect
609. C₂×SD₁₆	C₂³×C₁₃	semidirect
613. C₂×D₈	C₂³×C₁₃	semidirect
614. C₂×D₈	C₂³×C₁₃	semidirect
615. C₂×D₈	C₂³×C₁₃	semidirect
616. C₂×M₁₆	C₂³×C₁₃	semidirect
617. C₂²×C₈	C₂³×C₁₃	semidirect
618. C₄⋊Q₈	C₂³×C₁₃	semidirect
624. #127	C₂³×C₁₃	semidirect
628. #125	C₂³×C₁₃	semidirect
631. #124	C₂³×C₁₃	semidirect
638. C₂²⋊Q₈	C₂³×C₁₃	semidirect
656. #121	C₂³×C₁₃	semidirect
657. #121	C₂³×C₁₃	semidirect
658. #121	C₂³×C₁₃	semidirect
666. C₄×Q₈	C₂³×C₁₃	semidirect
684. C₄×D₄	C₂³×C₁₃	semidirect
685. C₄×D₄	C₂³×C₁₃	semidirect
688. #117	C₂³×C₁₃	semidirect
691. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
698. #107	C₂³×C₁₃	semidirect
699. #106	C₂³×C₁₃	semidirect
700. #106	C₂³×C₁₃	semidirect
701. C₄⋊C₈	C₂³×C₁₃	semidirect
702. C₄⋊C₈	C₂³×C₁₃	semidirect
703. #103	C₂³×C₁₃	semidirect
707. #102	C₂³×C₁₃	semidirect
708. #102	C₂³×C₁₃	semidirect
709. #102	C₂³×C₁₃	semidirect
710. #102	C₂³×C₁₃	semidirect
711. #102	C₂³×C₁₃	semidirect
712. #102	C₂³×C₁₃	semidirect
716. C₂²⋊C₈	C₂³×C₁₃	semidirect
717. C₂²⋊C₈	C₂³×C₁₃	semidirect
718. #97	C₂³×C₁₃	semidirect
719. C₄×C₈	C₂³×C₁₃	semidirect
858. C₁₃	#61591	direct (N × H)
913. D₄	C₁₃×AGL(1,ℤ/8)	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₃×#3519	2
C₂×D₄²×C₁₃	2
C₁₃×#3325	2
C₁₃×#3318	2
C₁₃×#3295	2
D₄×C₁₃×D₈	2
C₁₃×#3274	2
C₁₃×#3264	2
C₁₃×#3217	2
C₁₃×#3205	2
C₁₃×#3192	2
C₁₃×#3188	2
C₁₃×#3109	2
C₁₃×#3105	2
C₁₃×#3003	2
C₂×C₁₃×#447	2
C₁₃×#2974	2
#61591	13

Subgroups — C13×#61591 #15747930

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61591 #15747930