Subgroups — C₁₃×#61385 #15747724

Order 3328.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1086 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×#3501	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3389	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3389	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3388	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3388	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3386	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3384	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3381	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3380	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3166	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3164	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3163	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3084	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3083	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2962	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2946	C₂	1	1	yes	maximal, characteristic
22	C₁₃×#2946	C₂	1	1	yes	maximal, characteristic
23	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₁₃×#557	C₂²	1	2	yes	complemented
26	C₁₃×#557	C₂²	1	2	yes	complemented
27	C₁₃×#554	—	2	1	no	—
28	C₁₃×#554	—	2	1	no	—
29	C₁₃×#554	—	2	1	no	—
30	C₁₃×#554	—	2	2	no	—
31	C₁₃×#554	—	2	2	no	—
32	C₁₃×#554	C₂²	1	2	yes	—
33	C₁₃×#554	C₂²	1	2	yes	—
34	C₁₃×#554	C₂²	1	2	yes	—
35	C₁₃×#554	C₂²	1	2	yes	complemented
36	C₁₃×#554	C₂²	1	2	yes	complemented
37	D₄×Q₈×C₁₃	—	2	1	no	—
38	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
39	C₁₃×#544	—	2	1	no	—
40	C₁₃×#544	—	2	1	no	—
41	C₁₃×#544	C₂²	1	1	yes	characteristic
42	C₁₃×#544	C₂²	1	1	yes	characteristic
43	C₁₃×#544	C₂²	1	1	yes	characteristic
44	C₁₃×#544	C₂²	1	1	yes	characteristic
45	C₁₃×#543	—	2	2	no	—
46	C₁₃×#533	—	2	1	no	—
47	C₁₃×#533	C₂²	1	1	yes	characteristic
48	C₁₃×#533	C₂²	1	1	yes	characteristic
49	C₂×C₁₃×#125	—	2	1	no	—
50	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
51	C₂×C₁₃×C₂²⋊Q₈	—	2	2	no	—
52	C₁₃×#520	C₂²	1	1	yes	characteristic
53	C₁₃×#520	C₂²	1	1	yes	characteristic
54	C₁₃×#518	C₂²	1	1	yes	characteristic
55	C₁₃×#518	C₂²	1	1	yes	characteristic
56	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
58	C₁₃×#501	C₂²	1	2	yes	complemented
59	C₁₃×#501	C₂²	1	2	yes	complemented
60	C₁₃×#501	C₂²	1	2	yes	complemented
61	C₁₃×#501	C₂²	1	2	yes	complemented
62	C₁₃×#501	C₂²	1	2	yes	complemented
63	C₁₃×#501	C₂²	1	2	yes	complemented
64	C₁₃×#500	C₂²	1	2	yes	complemented
65	C₁₃×#499	C₂²	1	2	yes	complemented
66	C₁₃×#499	C₂²	1	2	yes	complemented
67	C₁₃×#499	C₂²	1	2	yes	complemented
68	C₁₃×#499	C₂²	1	2	yes	complemented
69	C₁₃×#498	C₂²	1	2	yes	complemented
70	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#479	C₂²	1	2	yes	complemented
73	C₁₃×#479	C₂²	1	2	yes	complemented
74	C₁₃×#478	C₂²	1	2	yes	—
75	C₁₃×#478	C₂²	1	2	yes	—
76	C₁₃×#478	C₂²	1	2	yes	—
77	C₁₃×#478	C₂²	1	2	yes	—
78	C₁₃×#478	C₂²	1	2	yes	—
79	C₁₃×#478	C₂²	1	2	yes	—
80	C₁₃×#478	C₂²	1	2	yes	—
81	C₁₃×#478	C₂²	1	2	yes	—
82	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#478	C₂²	1	2	yes	complemented
85	C₁₃×#478	C₂²	1	2	yes	complemented
86	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#477	C₂²	1	2	yes	complemented
88	C₁₃×#476	C₂²	1	2	yes	—
89	C₁₃×#476	C₂²	1	2	yes	—
90	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#476	C₂²	1	2	yes	complemented
92	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#475	C₂²	1	2	yes	complemented
94	C₁₃×#474	C₂²	1	2	yes	—
95	C₁₃×#474	C₂²	1	2	yes	—
96	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#474	C₂²	1	2	yes	complemented
98	C₁₃×#446	C₂²	1	2	yes	complemented
99	C₁₃×#446	C₂²	1	2	yes	complemented
100	C₁₃×#446	C₂²	1	2	yes	complemented
101	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
102	C₁₃×#442	C₂²	1	2	yes	—
103	C₁₃×#442	C₂²	1	2	yes	—
104	C₁₃×#442	C₂²	1	2	yes	—
105	C₁₃×#440	C₂²	1	2	yes	—
106	C₁₃×#440	C₂²	1	2	yes	—
107	C₁₃×#440	C₂²	1	2	yes	—
108	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
109	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
110	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
111	C₄×C₁₃×D₈	C₂²	1	2	yes	—
112	C₄×C₁₃×D₈	C₂²	1	2	yes	—
113	C₄×C₁₃×D₈	C₂²	1	2	yes	—
114	C₁₃×#428	C₂²	1	1	yes	characteristic
115	C₁₃×#428	C₂²	1	1	yes	characteristic
116	C₁₃×#428	C₂²	1	1	yes	characteristic
117	C₁₃×#428	C₂²	1	1	yes	characteristic
118	C₁₃×#428	C₂²	1	1	yes	characteristic
119	C₁₃×#427	C₂²	1	1	yes	characteristic
120	C₁₃×#427	C₂²	1	1	yes	characteristic
121	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
122	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
123	C₁₃×#424	C₂²	1	1	yes	characteristic
124	C₁₃×#424	C₂²	1	1	yes	characteristic
125	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₁₃×#418	C₂²	1	1	yes	characteristic
127	C₁₃×#417	C₂²	1	1	yes	characteristic
128	C₁₃×#416	C₂²	1	1	yes	characteristic
129	C₁₃×#416	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
131	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
132	C₁₃×#405	C₂²	1	1	yes	characteristic
133	C₁₃×#405	C₂²	1	1	yes	characteristic
134	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
136	C₂²×Q₈×C₁₃	—	2	2	no	—
137	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
138	C₂³×C₄×C₁₃	—	2	1	no	—
139	C₁₃×AGL(1,ℤ/8)	Q₈	1	8	yes	complemented
140	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
141	C₂×C₁₃×D₈	C₂³	1	2	yes	—
142	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
144	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
145	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
146	C₁₃×C₄⋊Q₈	—	2	2	no	—
147	C₁₃×C₄⋊Q₈	—	2	2	no	—
148	C₁₃×C₄⋊Q₈	—	2	1	no	—
149	C₁₃×C₄⋊Q₈	—	2	1	no	—
150	C₁₃×C₄⋊Q₈	—	2	1	no	—
151	C₁₃×C₄⋊Q₈	—	2	1	no	—
152	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
153	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
154	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
155	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
156	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
157	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
158	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
159	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₃×#125	—	2	1	no	—
161	C₁₃×#125	—	2	1	no	—
162	C₁₃×#125	—	2	2	no	—
163	C₁₃×#125	—	2	2	no	—
164	C₁₃×#125	—	2	2	no	—
165	C₁₃×#125	—	2	2	no	—
166	C₁₃×#125	—	2	1	no	—
167	C₁₃×#125	—	2	1	no	—
168	C₁₃×#125	—	2	1	no	—
169	C₁₃×#125	—	2	1	no	—
170	C₁₃×#125	D₄	1	1	yes	characteristic
171	C₁₃×#125	D₄	1	1	yes	characteristic
172	C₁₃×#125	C₂³	1	2	yes	—
173	C₁₃×#125	C₂³	1	2	yes	—
174	C₁₃×#125	C₂³	1	2	yes	—
175	C₁₃×#125	C₂³	1	2	yes	—
176	C₁₃×#125	C₂³	1	1	yes	characteristic
177	C₁₃×#125	C₂³	1	1	yes	characteristic
178	C₁₃×#125	C₂³	1	2	yes	—
179	C₁₃×#125	C₂³	1	2	yes	—
180	C₁₃×C₂²⋊Q₈	—	2	2	no	—
181	C₁₃×C₂²⋊Q₈	—	2	2	no	—
182	C₁₃×C₂²⋊Q₈	—	2	2	no	—
183	C₁₃×C₂²⋊Q₈	—	2	2	no	—
184	C₁₃×C₂²⋊Q₈	—	2	2	no	—
185	C₁₃×C₂²⋊Q₈	—	2	1	no	—
186	C₁₃×C₂²⋊Q₈	—	2	1	no	—
187	C₁₃×C₂²⋊Q₈	—	2	2	no	—
188	C₁₃×C₂²⋊Q₈	—	2	2	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	—	2	2	no	—
195	C₁₃×C₂²⋊Q₈	—	2	2	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	no	—
202	C₁₃×C₂²⋊Q₈	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
205	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
206	C₄×Q₈×C₁₃	—	2	2	no	—
207	C₄×Q₈×C₁₃	—	2	2	no	—
208	C₄×Q₈×C₁₃	—	2	1	no	—
209	C₄×Q₈×C₁₃	—	2	1	no	—
210	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
211	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
212	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
213	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
214	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
215	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
216	C₄×D₄×C₁₃	—	2	1	no	—
217	C₄×D₄×C₁₃	—	2	1	no	—
218	C₄×D₄×C₁₃	—	2	1	no	—
219	C₄×D₄×C₁₃	—	2	1	no	—
220	C₄×D₄×C₁₃	—	2	1	no	—
221	C₄×D₄×C₁₃	—	2	1	no	—
222	C₄×D₄×C₁₃	—	2	2	no	—
223	C₄×D₄×C₁₃	—	2	2	no	—
224	C₄×D₄×C₁₃	—	2	1	no	—
225	C₄×D₄×C₁₃	—	2	1	no	—
226	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×D₄×C₁₃	C₂³	1	2	yes	—
228	C₄×D₄×C₁₃	C₂³	1	2	yes	—
229	C₄×D₄×C₁₃	C₂³	1	2	yes	—
230	C₄×D₄×C₁₃	C₂³	1	2	yes	—
231	C₄×D₄×C₁₃	C₂³	1	2	yes	—
232	C₄×D₄×C₁₃	C₂³	1	2	yes	—
233	C₄×D₄×C₁₃	C₂³	1	2	yes	—
234	C₄×D₄×C₁₃	C₂³	1	2	yes	—
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₁₃×#117	—	2	1	no	—
237	C₁₃×#117	—	2	1	no	—
238	C₁₃×#117	—	2	1	no	—
239	C₁₃×#117	C₂³	1	1	yes	characteristic
240	C₁₃×#117	C₂³	1	1	yes	characteristic
241	C₁₃×#117	C₂³	1	1	yes	characteristic
242	C₁₃×#117	C₂³	1	1	yes	characteristic
243	C₁₃×#117	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
245	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
246	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
247	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
248	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
249	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
250	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
251	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
252	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
257	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
258	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
259	C₂×C₄²×C₁₃	—	2	1	no	—
260	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
261	C₁₃×#107	C₂³	1	2	yes	—
262	C₁₃×#107	C₂³	1	2	yes	—
263	C₁₃×#107	C₂³	1	1	yes	characteristic
264	C₁₃×#107	C₂³	1	1	yes	characteristic
265	C₁₃×#107	C₂³	1	1	yes	characteristic
266	C₁₃×#107	C₂³	1	1	yes	characteristic
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#107	C₂³	1	2	yes	—
269	C₁₃×#107	C₂³	1	2	yes	—
270	C₁₃×#107	C₂³	1	2	yes	—
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#106	C₂³	1	2	yes	—
273	C₁₃×#106	C₂³	1	2	yes	—
274	C₁₃×#106	C₂³	1	1	yes	characteristic
275	C₁₃×#106	C₂³	1	1	yes	characteristic
276	C₁₃×#106	C₂³	1	1	yes	characteristic
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×#106	C₂³	1	2	yes	—
281	C₁₃×#106	C₂³	1	2	yes	—
282	C₁₃×#106	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
288	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
289	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
290	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	1	yes	characteristic
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	1	yes	characteristic
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₄×C₈×C₁₃	C₂³	1	2	yes	—
311	C₄×C₈×C₁₃	C₂³	1	2	yes	—
312	C₄×C₈×C₁₃	C₂³	1	2	yes	—
313	#61385	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
314	C₂⁴×C₁₃	—	2	1	no	—
315	C₁₃×#41	—	2	2	no	—
316	C₁₃×#41	C₂×Q₈	1	4	yes	complemented
317	C₂×Q₈×C₁₃	—	2	1	no	—
318	C₂×Q₈×C₁₃	—	2	1	no	—
319	C₂×Q₈×C₁₃	—	2	2	no	—
320	C₂×Q₈×C₁₃	—	2	2	no	—
321	C₂×Q₈×C₁₃	—	2	2	no	—
322	C₂×Q₈×C₁₃	—	2	2	no	—
323	C₂×Q₈×C₁₃	—	8	4	no	—
324	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
325	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
326	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
327	C₂×D₄×C₁₃	—	2	1	no	—
328	C₂×D₄×C₁₃	—	2	1	no	—
329	C₂×D₄×C₁₃	—	2	2	no	—
330	C₂×D₄×C₁₃	C₂×Q₈	1	4	yes	—
331	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
333	C₂²×C₄×C₁₃	—	2	1	no	—
334	C₂²×C₄×C₁₃	—	2	1	no	—
335	C₂²×C₄×C₁₃	—	2	1	no	—
336	C₂²×C₄×C₁₃	—	2	1	no	—
337	C₂²×C₄×C₁₃	—	2	2	no	—
338	C₂²×C₄×C₁₃	—	2	1	no	—
339	C₂²×C₄×C₁₃	—	2	1	no	—
340	C₂²×C₄×C₁₃	—	2	2	no	—
341	C₂²×C₄×C₁₃	—	2	2	no	—
342	C₂²×C₄×C₁₃	—	2	2	no	—
343	C₂²×C₄×C₁₃	—	2	2	no	—
344	C₂²×C₄×C₁₃	—	2	2	no	—
345	C₂²×C₄×C₁₃	—	2	2	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	8	2	no	—
348	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
349	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
350	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₁₃×SD₁₆	C₂×Q₈	1	8	yes	complemented
352	C₁₃×D₈	C₂×Q₈	1	8	yes	complemented
353	C₁₃×M₁₆	—	2	2	no	—
354	C₁₃×M₁₆	C₂×Q₈	1	4	yes	complemented
355	C₂×C₈×C₁₃	—	2	2	no	—
356	C₂×C₈×C₁₃	—	2	2	no	—
357	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
360	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
363	C₁₃×C₄⋊C₄	—	2	1	no	—
364	C₁₃×C₄⋊C₄	—	2	1	no	—
365	C₁₃×C₄⋊C₄	—	2	1	no	—
366	C₁₃×C₄⋊C₄	—	2	2	no	—
367	C₁₃×C₄⋊C₄	—	2	2	no	—
368	C₁₃×C₄⋊C₄	—	2	1	no	—
369	C₁₃×C₄⋊C₄	—	2	1	no	—
370	C₁₃×C₄⋊C₄	—	2	2	no	—
371	C₁₃×C₄⋊C₄	—	2	2	no	—
372	C₁₃×C₄⋊C₄	—	2	2	no	—
373	C₁₃×C₄⋊C₄	—	2	2	no	—
374	C₁₃×C₄⋊C₄	—	2	2	no	—
375	C₁₃×C₄⋊C₄	—	2	2	no	—
376	C₁₃×C₄⋊C₄	—	2	2	no	—
377	C₁₃×C₄⋊C₄	—	2	2	no	—
378	C₁₃×C₄⋊C₄	—	2	2	no	—
379	C₁₃×C₄⋊C₄	—	2	2	no	—
380	C₁₃×C₄⋊C₄	—	2	2	no	—
381	C₁₃×C₄⋊C₄	—	2	2	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
393	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
394	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
395	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
396	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
397	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
398	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
399	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
400	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
401	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
403	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
404	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
406	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₂²⋊C₄	—	2	1	no	—
412	C₁₃×C₂²⋊C₄	—	2	1	no	—
413	C₁₃×C₂²⋊C₄	—	2	1	no	—
414	C₁₃×C₂²⋊C₄	—	2	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
425	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
426	C₄²×C₁₃	—	2	1	no	—
427	C₄²×C₁₃	—	2	1	no	—
428	C₄²×C₁₃	—	2	1	no	—
429	C₄²×C₁₃	—	2	2	no	—
430	C₄²×C₁₃	—	2	2	no	—
431	C₄²×C₁₃	—	2	1	no	—
432	C₄²×C₁₃	—	2	1	no	—
433	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
434	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
435	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
436	C₄²×C₁₃	C₂⁴	1	2	yes	—
437	C₄²×C₁₃	C₂⁴	1	2	yes	—
438	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
439	#3504	C₂×C₁₃	1	1	yes	characteristic, complemented
440	#3501	C₂×C₁₃	1	1	yes	characteristic, complemented
441	#3389	C₂×C₁₃	1	2	yes	complemented
442	#3389	C₂×C₁₃	1	2	yes	complemented
443	#3388	C₂×C₁₃	1	2	yes	complemented
444	#3388	C₂×C₁₃	1	2	yes	complemented
445	#3386	C₂×C₁₃	1	2	yes	complemented
446	#3384	C₂×C₁₃	1	2	yes	complemented
447	#3381	C₂×C₁₃	1	2	yes	complemented
448	#3380	C₂×C₁₃	1	2	yes	complemented
449	#3166	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3164	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3163	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3084	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3083	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
457	C₂×#478	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#2962	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#2946	C₂×C₁₃	1	1	yes	characteristic
460	#2946	C₂×C₁₃	1	1	yes	characteristic
461	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic
462	C₂³×C₁₃	—	2	1	no	—
463	C₂³×C₁₃	—	2	2	no	—
464	C₂³×C₁₃	—	2	4	no	—
465	C₂³×C₁₃	—	8	1	no	—
466	C₂³×C₁₃	—	8	1	no	—
467	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
468	Q₈×C₁₃	—	2	1	no	—
469	Q₈×C₁₃	—	4	2	no	—
470	Q₈×C₁₃	—	4	2	no	—
471	Q₈×C₁₃	—	4	2	no	—
472	Q₈×C₁₃	—	8	1	no	—
473	Q₈×C₁₃	—	8	2	no	—
474	Q₈×C₁₃	—	8	2	no	—
475	Q₈×C₁₃	—	8	2	no	—
476	Q₈×C₁₃	—	8	2	no	—
477	Q₈×C₁₃	C₂²×Q₈	1	2	yes	—
478	D₄×C₁₃	—	2	4	no	—
479	D₄×C₁₃	—	2	4	no	—
480	D₄×C₁₃	—	2	2	no	—
481	D₄×C₁₃	—	2	1	no	—
482	D₄×C₁₃	C₂²×Q₈	1	2	yes	—
483	D₄×C₁₃	C₂²×Q₈	1	4	yes	—
484	C₂×C₄×C₁₃	—	2	1	no	—
485	C₂×C₄×C₁₃	—	2	4	no	—
486	C₂×C₄×C₁₃	—	2	1	no	—
487	C₂×C₄×C₁₃	—	2	1	no	—
488	C₂×C₄×C₁₃	—	2	1	no	—
489	C₂×C₄×C₁₃	—	2	1	no	—
490	C₂×C₄×C₁₃	—	2	1	no	—
491	C₂×C₄×C₁₃	—	2	1	no	—
492	C₂×C₄×C₁₃	—	2	2	no	—
493	C₂×C₄×C₁₃	—	2	2	no	—
494	C₂×C₄×C₁₃	—	2	2	no	—
495	C₂×C₄×C₁₃	—	4	1	no	—
496	C₂×C₄×C₁₃	—	4	1	no	—
497	C₂×C₄×C₁₃	—	4	4	no	—
498	C₂×C₄×C₁₃	—	8	1	no	—
499	C₂×C₄×C₁₃	—	8	2	no	—
500	C₂×C₄×C₁₃	—	8	2	no	—
501	C₂×C₄×C₁₃	—	8	2	no	—
502	C₂×C₄×C₁₃	—	8	1	no	—
503	C₂×C₄×C₁₃	—	8	2	no	—
504	C₂×C₄×C₁₃	—	8	2	no	—
505	C₂×C₄×C₁₃	—	8	2	no	—
506	C₂×C₄×C₁₃	—	8	2	no	—
507	C₂×C₄×C₁₃	—	8	1	no	—
508	C₂×C₄×C₁₃	—	8	1	no	—
509	C₂×C₄×C₁₃	—	8	1	no	—
510	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
511	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
512	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
513	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
514	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
515	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
516	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
517	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
518	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
519	C₂×C₄×C₁₃	C₂²×Q₈	1	2	yes	—
520	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
521	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
522	C₈×C₁₃	—	2	1	no	—
523	C₈×C₁₃	—	2	1	no	—
524	C₈×C₁₃	—	2	1	no	—
525	C₈×C₁₃	—	2	1	no	—
526	C₈×C₁₃	—	2	2	no	—
527	C₈×C₁₃	C₂²×Q₈	1	4	yes	—
528	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
529	#557	C₂²×C₁₃	1	2	yes	complemented
530	#557	C₂²×C₁₃	1	2	yes	complemented
531	#554	—	2	1	no	—
532	#554	—	2	1	no	—
533	#554	—	2	1	no	—
534	#554	—	2	2	no	—
535	#554	—	2	2	no	—
536	#554	C₂²×C₁₃	1	2	yes	—
537	#554	C₂²×C₁₃	1	2	yes	—
538	#554	C₂²×C₁₃	1	2	yes	—
539	#554	C₂²×C₁₃	1	2	yes	complemented
540	#554	C₂²×C₁₃	1	2	yes	complemented
541	D₄×Q₈	—	2	1	no	—
542	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
543	#544	—	2	1	no	—
544	#544	—	2	1	no	—
545	#544	C₂²×C₁₃	1	1	yes	characteristic
546	#544	C₂²×C₁₃	1	1	yes	characteristic
547	#544	C₂²×C₁₃	1	1	yes	characteristic
548	#544	C₂²×C₁₃	1	1	yes	characteristic
549	#543	—	2	2	no	—
550	#533	—	2	1	no	—
551	#533	C₂²×C₁₃	1	1	yes	characteristic
552	#533	C₂²×C₁₃	1	1	yes	characteristic
553	C₂×#125	—	2	1	no	—
554	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
555	C₂×C₂²⋊Q₈	—	2	2	no	—
556	#520	C₂²×C₁₃	1	1	yes	characteristic
557	#520	C₂²×C₁₃	1	1	yes	characteristic
558	#518	C₂²×C₁₃	1	1	yes	characteristic
559	#518	C₂²×C₁₃	1	1	yes	characteristic
560	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
561	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
562	#501	C₂²×C₁₃	1	2	yes	complemented
563	#501	C₂²×C₁₃	1	2	yes	complemented
564	#501	C₂²×C₁₃	1	2	yes	complemented
565	#501	C₂²×C₁₃	1	2	yes	complemented
566	#501	C₂²×C₁₃	1	2	yes	complemented
567	#501	C₂²×C₁₃	1	2	yes	complemented
568	#500	C₂²×C₁₃	1	2	yes	complemented
569	#499	C₂²×C₁₃	1	2	yes	complemented
570	#499	C₂²×C₁₃	1	2	yes	complemented
571	#499	C₂²×C₁₃	1	2	yes	complemented
572	#499	C₂²×C₁₃	1	2	yes	complemented
573	#498	C₂²×C₁₃	1	2	yes	complemented
574	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
575	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
576	#479	C₂²×C₁₃	1	2	yes	complemented
577	#479	C₂²×C₁₃	1	2	yes	complemented
578	#478	C₂²×C₁₃	1	2	yes	—
579	#478	C₂²×C₁₃	1	2	yes	—
580	#478	C₂²×C₁₃	1	2	yes	—
581	#478	C₂²×C₁₃	1	2	yes	—
582	#478	C₂²×C₁₃	1	2	yes	—
583	#478	C₂²×C₁₃	1	2	yes	—
584	#478	C₂²×C₁₃	1	2	yes	—
585	#478	C₂²×C₁₃	1	2	yes	—
586	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
587	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
588	#478	C₂²×C₁₃	1	2	yes	complemented
589	#478	C₂²×C₁₃	1	2	yes	complemented
590	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
591	#477	C₂²×C₁₃	1	2	yes	complemented
592	#476	C₂²×C₁₃	1	2	yes	—
593	#476	C₂²×C₁₃	1	2	yes	—
594	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	#476	C₂²×C₁₃	1	2	yes	complemented
596	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
597	#475	C₂²×C₁₃	1	2	yes	complemented
598	#474	C₂²×C₁₃	1	2	yes	—
599	#474	C₂²×C₁₃	1	2	yes	—
600	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	#474	C₂²×C₁₃	1	2	yes	complemented
602	#446	C₂²×C₁₃	1	2	yes	complemented
603	#446	C₂²×C₁₃	1	2	yes	complemented
604	#446	C₂²×C₁₃	1	2	yes	complemented
605	C₈×Q₈	C₂²×C₁₃	1	2	yes	complemented
606	#442	C₂²×C₁₃	1	2	yes	—
607	#442	C₂²×C₁₃	1	2	yes	—
608	#442	C₂²×C₁₃	1	2	yes	—
609	#440	C₂²×C₁₃	1	2	yes	—
610	#440	C₂²×C₁₃	1	2	yes	—
611	#440	C₂²×C₁₃	1	2	yes	—
612	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
613	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
614	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
615	C₄×D₈	C₂²×C₁₃	1	2	yes	—
616	C₄×D₈	C₂²×C₁₃	1	2	yes	—
617	C₄×D₈	C₂²×C₁₃	1	2	yes	—
618	#428	C₂²×C₁₃	1	1	yes	characteristic
619	#428	C₂²×C₁₃	1	1	yes	characteristic
620	#428	C₂²×C₁₃	1	1	yes	characteristic
621	#428	C₂²×C₁₃	1	1	yes	characteristic
622	#428	C₂²×C₁₃	1	1	yes	characteristic
623	#427	C₂²×C₁₃	1	1	yes	characteristic
624	#427	C₂²×C₁₃	1	1	yes	characteristic
625	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
626	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
627	#424	C₂²×C₁₃	1	1	yes	characteristic
628	#424	C₂²×C₁₃	1	1	yes	characteristic
629	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
630	#418	C₂²×C₁₃	1	1	yes	characteristic
631	#417	C₂²×C₁₃	1	1	yes	characteristic
632	#416	C₂²×C₁₃	1	1	yes	characteristic
633	#416	C₂²×C₁₃	1	1	yes	characteristic
634	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
635	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
636	#405	C₂²×C₁₃	1	1	yes	characteristic
637	#405	C₂²×C₁₃	1	1	yes	characteristic
638	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
639	C₂²×C₁₃	—	2	1	no	—
640	C₂²×C₁₃	—	2	1	no	—
641	C₂²×C₁₃	—	2	2	no	—
642	C₂²×C₁₃	—	2	4	no	—
643	C₂²×C₁₃	—	4	1	no	—
644	C₂²×C₁₃	—	4	2	no	—
645	C₂²×C₁₃	—	4	2	no	—
646	C₂²×C₁₃	—	4	1	no	—
647	C₂²×C₁₃	—	8	4	no	—
648	C₂²×C₁₃	D₄×Q₈	1	2	yes	—
649	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
650	C₄×C₁₃	—	2	1	no	—
651	C₄×C₁₃	—	2	1	no	—
652	C₄×C₁₃	—	2	2	no	—
653	C₄×C₁₃	—	2	2	no	—
654	C₄×C₁₃	—	2	1	no	—
655	C₄×C₁₃	—	2	1	no	—
656	C₄×C₁₃	—	2	2	no	—
657	C₄×C₁₃	—	2	2	no	—
658	C₄×C₁₃	—	2	2	no	—
659	C₄×C₁₃	—	4	1	no	—
660	C₄×C₁₃	—	4	1	no	—
661	C₄×C₁₃	—	4	2	no	—
662	C₄×C₁₃	—	4	1	no	—
663	C₄×C₁₃	—	4	2	no	—
664	C₄×C₁₃	—	4	1	no	—
665	C₄×C₁₃	—	4	1	no	—
666	C₄×C₁₃	—	4	2	no	—
667	C₄×C₁₃	—	4	1	no	—
668	C₄×C₁₃	D₄×Q₈	1	2	yes	—
669	C₄×C₁₃	C₂³×Q₈	1	1	yes	characteristic
670	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
671	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
672	C₂²×Q₈	—	2	2	no	—
673	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
674	C₂³×C₄	—	2	1	no	—
675	AGL(1,ℤ/8)	Q₈×C₁₃	1	8	yes	complemented
676	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
677	C₂×D₈	C₂³×C₁₃	1	2	yes	—
678	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
679	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
680	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
681	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
682	C₄⋊Q₈	—	2	2	no	—
683	C₄⋊Q₈	—	2	2	no	—
684	C₄⋊Q₈	—	2	1	no	—
685	C₄⋊Q₈	—	2	1	no	—
686	C₄⋊Q₈	—	2	1	no	—
687	C₄⋊Q₈	—	2	1	no	—
688	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
689	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
690	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
691	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
692	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
693	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
694	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
695	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
696	#125	—	2	1	no	—
697	#125	—	2	1	no	—
698	#125	—	2	2	no	—
699	#125	—	2	2	no	—
700	#125	—	2	2	no	—
701	#125	—	2	2	no	—
702	#125	—	2	1	no	—
703	#125	—	2	1	no	—
704	#125	—	2	1	no	—
705	#125	—	2	1	no	—
706	#125	D₄×C₁₃	1	1	yes	characteristic
707	#125	D₄×C₁₃	1	1	yes	characteristic
708	#125	C₂³×C₁₃	1	2	yes	—
709	#125	C₂³×C₁₃	1	2	yes	—
710	#125	C₂³×C₁₃	1	1	yes	characteristic
711	#125	C₂³×C₁₃	1	1	yes	characteristic
712	#125	C₂³×C₁₃	1	2	yes	—
713	#125	C₂³×C₁₃	1	2	yes	—
714	#125	C₂³×C₁₃	1	2	yes	—
715	#125	C₂³×C₁₃	1	2	yes	—
716	C₂²⋊Q₈	—	2	2	no	—
717	C₂²⋊Q₈	—	2	2	no	—
718	C₂²⋊Q₈	—	2	2	no	—
719	C₂²⋊Q₈	—	2	2	no	—
720	C₂²⋊Q₈	—	2	2	no	—
721	C₂²⋊Q₈	—	2	1	no	—
722	C₂²⋊Q₈	—	2	1	no	—
723	C₂²⋊Q₈	—	2	2	no	—
724	C₂²⋊Q₈	—	2	2	no	—
725	C₂²⋊Q₈	—	2	2	no	—
726	C₂²⋊Q₈	—	2	2	no	—
727	C₂²⋊Q₈	—	2	2	no	—
728	C₂²⋊Q₈	—	2	2	no	—
729	C₂²⋊Q₈	—	2	2	no	—
730	C₂²⋊Q₈	—	2	2	no	—
731	C₂²⋊Q₈	—	2	2	no	—
732	C₂²⋊Q₈	—	2	2	no	—
733	C₂²⋊Q₈	—	2	2	no	—
734	C₂²⋊Q₈	—	2	2	no	—
735	C₂²⋊Q₈	—	2	2	no	—
736	C₂²⋊Q₈	—	2	2	no	—
737	C₂²⋊Q₈	—	2	2	no	—
738	C₂²⋊Q₈	—	2	2	no	—
739	C₂²⋊Q₈	—	2	2	no	—
740	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
741	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
742	C₄×Q₈	—	2	2	no	—
743	C₄×Q₈	—	2	2	no	—
744	C₄×Q₈	—	2	1	no	—
745	C₄×Q₈	—	2	1	no	—
746	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
747	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
748	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
749	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
750	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
751	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
752	C₄×D₄	—	2	1	no	—
753	C₄×D₄	—	2	1	no	—
754	C₄×D₄	—	2	1	no	—
755	C₄×D₄	—	2	1	no	—
756	C₄×D₄	—	2	1	no	—
757	C₄×D₄	—	2	1	no	—
758	C₄×D₄	—	2	2	no	—
759	C₄×D₄	—	2	2	no	—
760	C₄×D₄	—	2	1	no	—
761	C₄×D₄	—	2	1	no	—
762	C₄×D₄	C₂³×C₁₃	1	2	yes	—
763	C₄×D₄	C₂³×C₁₃	1	2	yes	—
764	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
765	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
766	C₄×D₄	C₂³×C₁₃	1	2	yes	—
767	C₄×D₄	C₂³×C₁₃	1	2	yes	—
768	C₄×D₄	C₂³×C₁₃	1	2	yes	—
769	C₄×D₄	C₂³×C₁₃	1	2	yes	—
770	C₄×D₄	C₂³×C₁₃	1	2	yes	—
771	C₄×D₄	C₂³×C₁₃	1	2	yes	—
772	#117	—	2	1	no	—
773	#117	—	2	1	no	—
774	#117	—	2	1	no	—
775	#117	C₂³×C₁₃	1	1	yes	characteristic
776	#117	C₂³×C₁₃	1	1	yes	characteristic
777	#117	C₂³×C₁₃	1	1	yes	characteristic
778	#117	C₂³×C₁₃	1	1	yes	characteristic
779	#117	C₂³×C₁₃	1	1	yes	characteristic
780	C₂×C₄⋊C₄	—	2	1	no	—
781	C₂×C₄⋊C₄	—	2	1	no	—
782	C₂×C₄⋊C₄	—	2	1	no	—
783	C₂×C₄⋊C₄	—	2	1	no	—
784	C₂×C₄⋊C₄	—	2	2	no	—
785	C₂×C₄⋊C₄	—	2	2	no	—
786	C₂×C₄⋊C₄	—	2	2	no	—
787	C₂×C₄⋊C₄	—	2	2	no	—
788	C₂×C₄⋊C₄	—	2	2	no	—
789	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
790	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
791	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
792	C₂×C₂²⋊C₄	—	2	1	no	—
793	C₂×C₂²⋊C₄	—	2	2	no	—
794	C₂×C₂²⋊C₄	—	2	2	no	—
795	C₂×C₄²	—	2	1	no	—
796	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
797	#107	C₂³×C₁₃	1	2	yes	—
798	#107	C₂³×C₁₃	1	2	yes	—
799	#107	C₂³×C₁₃	1	1	yes	characteristic
800	#107	C₂³×C₁₃	1	1	yes	characteristic
801	#107	C₂³×C₁₃	1	1	yes	characteristic
802	#107	C₂³×C₁₃	1	1	yes	characteristic
803	#107	C₂³×C₁₃	1	2	yes	—
804	#107	C₂³×C₁₃	1	2	yes	—
805	#107	C₂³×C₁₃	1	2	yes	—
806	#107	C₂³×C₁₃	1	2	yes	—
807	#107	C₂³×C₁₃	1	2	yes	—
808	#106	C₂³×C₁₃	1	2	yes	—
809	#106	C₂³×C₁₃	1	2	yes	—
810	#106	C₂³×C₁₃	1	1	yes	characteristic
811	#106	C₂³×C₁₃	1	1	yes	characteristic
812	#106	C₂³×C₁₃	1	1	yes	characteristic
813	#106	C₂³×C₁₃	1	1	yes	characteristic
814	#106	C₂³×C₁₃	1	2	yes	—
815	#106	C₂³×C₁₃	1	2	yes	—
816	#106	C₂³×C₁₃	1	2	yes	—
817	#106	C₂³×C₁₃	1	2	yes	—
818	#106	C₂³×C₁₃	1	2	yes	—
819	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
820	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
821	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
822	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
823	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
824	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
825	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
826	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
827	#103	C₂³×C₁₃	1	1	yes	characteristic
828	#103	C₂³×C₁₃	1	1	yes	characteristic
829	#103	C₂³×C₁₃	1	1	yes	characteristic
830	#103	C₂³×C₁₃	1	1	yes	characteristic
831	#103	C₂³×C₁₃	1	2	yes	—
832	#102	C₂³×C₁₃	1	2	yes	—
833	#102	C₂³×C₁₃	1	2	yes	—
834	#102	C₂³×C₁₃	1	2	yes	—
835	#102	C₂³×C₁₃	1	2	yes	—
836	#102	C₂³×C₁₃	1	1	yes	characteristic
837	#102	C₂³×C₁₃	1	1	yes	characteristic
838	#102	C₂³×C₁₃	1	1	yes	characteristic
839	#102	C₂³×C₁₃	1	1	yes	characteristic
840	#102	C₂³×C₁₃	1	2	yes	—
841	#102	C₂³×C₁₃	1	2	yes	—
842	#102	C₂³×C₁₃	1	2	yes	—
843	#97	C₂³×C₁₃	1	2	yes	—
844	#97	C₂³×C₁₃	1	2	yes	—
845	#97	C₂³×C₁₃	1	2	yes	—
846	C₄×C₈	C₂³×C₁₃	1	2	yes	—
847	C₄×C₈	C₂³×C₁₃	1	2	yes	—
848	C₄×C₈	C₂³×C₁₃	1	2	yes	—
849	C₂×C₁₃	—	2	2	no	—
850	C₂×C₁₃	—	4	2	no	—
851	C₂×C₁₃	—	4	4	no	—
852	C₂×C₁₃	C₂×D₄×Q₈	1	1	yes	characteristic
853	C₂×C₁₃	#3584	1	1	yes	characteristic
854	C₂×C₁₃	#3585	1	1	yes	characteristic
855	C₂⁴	—	2	1	no	—
856	#41	—	2	2	no	—
857	#41	C₂×Q₈×C₁₃	1	4	yes	complemented
858	C₂×Q₈	—	2	1	no	—
859	C₂×Q₈	—	2	1	no	—
860	C₂×Q₈	—	2	2	no	—
861	C₂×Q₈	—	2	2	no	—
862	C₂×Q₈	—	2	2	no	—
863	C₂×Q₈	—	2	2	no	—
864	C₂×Q₈	—	8	4	no	—
865	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
866	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
867	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
868	C₂×D₄	—	2	1	no	—
869	C₂×D₄	—	2	1	no	—
870	C₂×D₄	—	2	2	no	—
871	C₂×D₄	C₂×Q₈×C₁₃	1	4	yes	—
872	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
873	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
874	C₂²×C₄	—	2	1	no	—
875	C₂²×C₄	—	2	1	no	—
876	C₂²×C₄	—	2	1	no	—
877	C₂²×C₄	—	2	1	no	—
878	C₂²×C₄	—	2	2	no	—
879	C₂²×C₄	—	2	1	no	—
880	C₂²×C₄	—	2	1	no	—
881	C₂²×C₄	—	2	2	no	—
882	C₂²×C₄	—	2	2	no	—
883	C₂²×C₄	—	2	2	no	—
884	C₂²×C₄	—	2	2	no	—
885	C₂²×C₄	—	2	2	no	—
886	C₂²×C₄	—	2	2	no	—
887	C₂²×C₄	—	2	2	no	—
888	C₂²×C₄	—	8	2	no	—
889	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
890	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
891	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
892	SD₁₆	C₂×Q₈×C₁₃	1	8	yes	complemented
893	D₈	C₂×Q₈×C₁₃	1	8	yes	complemented
894	M₁₆	—	2	2	no	—
895	M₁₆	C₂×Q₈×C₁₃	1	4	yes	complemented
896	C₂×C₈	—	2	2	no	—
897	C₂×C₈	—	2	2	no	—
898	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
899	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
900	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
901	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
902	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
903	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
904	C₄⋊C₄	—	2	1	no	—
905	C₄⋊C₄	—	2	1	no	—
906	C₄⋊C₄	—	2	1	no	—
907	C₄⋊C₄	—	2	2	no	—
908	C₄⋊C₄	—	2	2	no	—
909	C₄⋊C₄	—	2	1	no	—
910	C₄⋊C₄	—	2	1	no	—
911	C₄⋊C₄	—	2	2	no	—
912	C₄⋊C₄	—	2	2	no	—
913	C₄⋊C₄	—	2	2	no	—
914	C₄⋊C₄	—	2	2	no	—
915	C₄⋊C₄	—	2	2	no	—
916	C₄⋊C₄	—	2	2	no	—
917	C₄⋊C₄	—	2	2	no	—
918	C₄⋊C₄	—	2	2	no	—
919	C₄⋊C₄	—	2	2	no	—
920	C₄⋊C₄	—	2	2	no	—
921	C₄⋊C₄	—	2	2	no	—
922	C₄⋊C₄	—	2	2	no	—
923	C₄⋊C₄	—	2	2	no	—
924	C₄⋊C₄	—	2	2	no	—
925	C₄⋊C₄	—	2	1	no	—
926	C₄⋊C₄	—	2	1	no	—
927	C₄⋊C₄	—	2	1	no	—
928	C₄⋊C₄	—	2	1	no	—
929	C₄⋊C₄	—	2	1	no	—
930	C₄⋊C₄	—	2	1	no	—
931	C₄⋊C₄	—	2	2	no	—
932	C₄⋊C₄	—	2	2	no	—
933	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
934	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
935	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
936	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
937	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
938	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
939	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
940	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
941	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
942	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
943	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
944	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
946	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
948	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
949	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
950	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
951	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
952	C₂²⋊C₄	—	2	1	no	—
953	C₂²⋊C₄	—	2	1	no	—
954	C₂²⋊C₄	—	2	1	no	—
955	C₂²⋊C₄	—	2	2	no	—
956	C₂²⋊C₄	—	2	2	no	—
957	C₂²⋊C₄	—	2	2	no	—
958	C₂²⋊C₄	—	2	2	no	—
959	C₂²⋊C₄	—	2	2	no	—
960	C₂²⋊C₄	—	2	2	no	—
961	C₂²⋊C₄	—	2	1	no	—
962	C₂²⋊C₄	—	2	1	no	—
963	C₂²⋊C₄	—	2	2	no	—
964	C₂²⋊C₄	—	2	2	no	—
965	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
966	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
967	C₄²	—	2	1	no	—
968	C₄²	—	2	1	no	—
969	C₄²	—	2	1	no	—
970	C₄²	—	2	2	no	—
971	C₄²	—	2	2	no	—
972	C₄²	—	2	1	no	—
973	C₄²	—	2	1	no	—
974	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
975	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
976	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₄²	C₂⁴×C₁₃	1	2	yes	—
978	C₄²	C₂⁴×C₁₃	1	2	yes	—
979	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
980	C₁₃	#61385	1	1	yes	characteristic, direct product factor, Sylow
981	C₂³	—	2	1	no	—
982	C₂³	—	2	2	no	—
983	C₂³	—	2	4	no	—
984	C₂³	—	8	1	no	—
985	C₂³	—	8	1	no	—
986	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
987	Q₈	—	2	1	no	—
988	Q₈	—	4	2	no	—
989	Q₈	—	4	2	no	—
990	Q₈	—	4	2	no	—
991	Q₈	—	8	2	no	—
992	Q₈	—	8	2	no	—
993	Q₈	—	8	1	no	—
994	Q₈	—	8	2	no	—
995	Q₈	—	8	2	no	—
996	Q₈	C₂²×Q₈×C₁₃	1	2	yes	—
997	D₄	—	2	4	no	—
998	D₄	—	2	4	no	—
999	D₄	—	2	2	no	—
1000	D₄	—	2	1	no	—
1001	D₄	C₂²×Q₈×C₁₃	1	2	yes	—
1002	D₄	C₂²×Q₈×C₁₃	1	4	yes	—
1003	C₂×C₄	—	2	1	no	—
1004	C₂×C₄	—	2	4	no	—
1005	C₂×C₄	—	2	1	no	—
1006	C₂×C₄	—	2	1	no	—
1007	C₂×C₄	—	2	1	no	—
1008	C₂×C₄	—	2	1	no	—
1009	C₂×C₄	—	2	1	no	—
1010	C₂×C₄	—	2	1	no	—
1011	C₂×C₄	—	2	2	no	—
1012	C₂×C₄	—	2	2	no	—
1013	C₂×C₄	—	2	2	no	—
1014	C₂×C₄	—	4	1	no	—
1015	C₂×C₄	—	4	1	no	—
1016	C₂×C₄	—	4	4	no	—
1017	C₂×C₄	—	8	2	no	—
1018	C₂×C₄	—	8	1	no	—
1019	C₂×C₄	—	8	2	no	—
1020	C₂×C₄	—	8	2	no	—
1021	C₂×C₄	—	8	2	no	—
1022	C₂×C₄	—	8	1	no	—
1023	C₂×C₄	—	8	2	no	—
1024	C₂×C₄	—	8	2	no	—
1025	C₂×C₄	—	8	2	no	—
1026	C₂×C₄	—	8	1	no	—
1027	C₂×C₄	—	8	1	no	—
1028	C₂×C₄	—	8	1	no	—
1029	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1030	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1031	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1032	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1033	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1034	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1035	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1036	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1037	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1038	C₂×C₄	C₂²×Q₈×C₁₃	1	2	yes	—
1039	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1040	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1041	C₈	—	2	1	no	—
1042	C₈	—	2	1	no	—
1043	C₈	—	2	1	no	—
1044	C₈	—	2	1	no	—
1045	C₈	—	2	2	no	—
1046	C₈	C₂²×Q₈×C₁₃	1	4	yes	—
1047	C₂²	—	2	1	no	—
1048	C₂²	—	2	1	no	—
1049	C₂²	—	2	2	no	—
1050	C₂²	—	2	4	no	—
1051	C₂²	—	4	1	no	—
1052	C₂²	—	4	2	no	—
1053	C₂²	—	4	2	no	—
1054	C₂²	—	4	1	no	—
1055	C₂²	—	8	4	no	—
1056	C₂²	D₄×Q₈×C₁₃	1	2	yes	—
1057	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1058	C₄	—	2	1	no	—
1059	C₄	—	2	1	no	—
1060	C₄	—	2	2	no	—
1061	C₄	—	2	2	no	—
1062	C₄	—	2	1	no	—
1063	C₄	—	2	1	no	—
1064	C₄	—	2	2	no	—
1065	C₄	—	2	2	no	—
1066	C₄	—	2	2	no	—
1067	C₄	—	4	1	no	—
1068	C₄	—	4	1	no	—
1069	C₄	—	4	2	no	—
1070	C₄	—	4	1	no	—
1071	C₄	—	4	2	no	—
1072	C₄	—	4	1	no	—
1073	C₄	—	4	1	no	—
1074	C₄	—	4	2	no	—
1075	C₄	—	4	1	no	—
1076	C₄	D₄×Q₈×C₁₃	1	2	yes	—
1077	C₄	C₂³×Q₈×C₁₃	1	1	yes	characteristic
1078	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1079	C₂	—	2	2	no	—
1080	C₂	—	4	4	no	—
1081	C₂	—	4	2	no	—
1082	C₂	C₂×D₄×Q₈×C₁₃	1	1	yes	characteristic
1083	C₂	C₁₃×#3584	1	1	yes	characteristic
1084	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₂×C₁₃×AGL(1,ℤ/8)	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3504	C₂	semidirect
2. C₁₃×#3501	C₂	semidirect
3. C₁₃×#3389	C₂	semidirect
4. C₁₃×#3389	C₂	semidirect
5. C₁₃×#3388	C₂	semidirect
6. C₁₃×#3388	C₂	semidirect
7. C₁₃×#3386	C₂	semidirect
8. C₁₃×#3384	C₂	semidirect
9. C₁₃×#3381	C₂	semidirect
10. C₁₃×#3380	C₂	semidirect
11. C₁₃×#3166	C₂	semidirect
12. C₁₃×#3164	C₂	semidirect
13. C₁₃×#3163	C₂	semidirect
14. C₁₃×#3084	C₂	semidirect
15. C₁₃×#3083	C₂	semidirect
16. C₁₃×#3081	C₂	semidirect
17. C₁₃×#3081	C₂	semidirect
18. C₁₃×#3076	C₂	semidirect
19. C₂×C₁₃×#478	C₂	semidirect
20. C₁₃×#2962	C₂	semidirect
25. C₁₃×#557	C₂²	semidirect
26. C₁₃×#557	C₂²	semidirect
35. C₁₃×#554	C₂²	semidirect
36. C₁₃×#554	C₂²	semidirect
58. C₁₃×#501	C₂²	semidirect
59. C₁₃×#501	C₂²	semidirect
60. C₁₃×#501	C₂²	semidirect
61. C₁₃×#501	C₂²	semidirect
62. C₁₃×#501	C₂²	semidirect
63. C₁₃×#501	C₂²	semidirect
64. C₁₃×#500	C₂²	semidirect
65. C₁₃×#499	C₂²	semidirect
66. C₁₃×#499	C₂²	semidirect
67. C₁₃×#499	C₂²	semidirect
68. C₁₃×#499	C₂²	semidirect
69. C₁₃×#498	C₂²	semidirect
70. C₁₃×#479	C₂²	semidirect
71. C₁₃×#479	C₂²	semidirect
72. C₁₃×#479	C₂²	semidirect
73. C₁₃×#479	C₂²	semidirect
82. C₁₃×#478	C₂²	semidirect
83. C₁₃×#478	C₂²	semidirect
84. C₁₃×#478	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#477	C₂²	semidirect
87. C₁₃×#477	C₂²	semidirect
90. C₁₃×#476	C₂²	semidirect
91. C₁₃×#476	C₂²	semidirect
92. C₁₃×#475	C₂²	semidirect
93. C₁₃×#475	C₂²	semidirect
96. C₁₃×#474	C₂²	semidirect
97. C₁₃×#474	C₂²	semidirect
98. C₁₃×#446	C₂²	semidirect
99. C₁₃×#446	C₂²	semidirect
100. C₁₃×#446	C₂²	semidirect
101. C₈×Q₈×C₁₃	C₂²	semidirect
139. C₁₃×AGL(1,ℤ/8)	Q₈	semidirect
313. #61385	C₁₃	direct (N × H)
316. C₁₃×#41	C₂×Q₈	semidirect
351. C₁₃×SD₁₆	C₂×Q₈	semidirect
352. C₁₃×D₈	C₂×Q₈	semidirect
354. C₁₃×M₁₆	C₂×Q₈	semidirect
439. #3504	C₂×C₁₃	semidirect
440. #3501	C₂×C₁₃	semidirect
441. #3389	C₂×C₁₃	semidirect
442. #3389	C₂×C₁₃	semidirect
443. #3388	C₂×C₁₃	semidirect
444. #3388	C₂×C₁₃	semidirect
445. #3386	C₂×C₁₃	semidirect
446. #3384	C₂×C₁₃	semidirect
447. #3381	C₂×C₁₃	semidirect
448. #3380	C₂×C₁₃	semidirect
449. #3166	C₂×C₁₃	semidirect
450. #3164	C₂×C₁₃	semidirect
451. #3163	C₂×C₁₃	semidirect
452. #3084	C₂×C₁₃	semidirect
453. #3083	C₂×C₁₃	semidirect
454. #3081	C₂×C₁₃	semidirect
455. #3081	C₂×C₁₃	semidirect
456. #3076	C₂×C₁₃	semidirect
457. C₂×#478	C₂×C₁₃	semidirect
458. #2962	C₂×C₁₃	semidirect
529. #557	C₂²×C₁₃	semidirect
530. #557	C₂²×C₁₃	semidirect
539. #554	C₂²×C₁₃	semidirect
540. #554	C₂²×C₁₃	semidirect
562. #501	C₂²×C₁₃	semidirect
563. #501	C₂²×C₁₃	semidirect
564. #501	C₂²×C₁₃	semidirect
565. #501	C₂²×C₁₃	semidirect
566. #501	C₂²×C₁₃	semidirect
567. #501	C₂²×C₁₃	semidirect
568. #500	C₂²×C₁₃	semidirect
569. #499	C₂²×C₁₃	semidirect
570. #499	C₂²×C₁₃	semidirect
571. #499	C₂²×C₁₃	semidirect
572. #499	C₂²×C₁₃	semidirect
573. #498	C₂²×C₁₃	semidirect
574. #479	C₂²×C₁₃	semidirect
575. #479	C₂²×C₁₃	semidirect
576. #479	C₂²×C₁₃	semidirect
577. #479	C₂²×C₁₃	semidirect
586. #478	C₂²×C₁₃	semidirect
587. #478	C₂²×C₁₃	semidirect
588. #478	C₂²×C₁₃	semidirect
589. #478	C₂²×C₁₃	semidirect
590. #477	C₂²×C₁₃	semidirect
591. #477	C₂²×C₁₃	semidirect
594. #476	C₂²×C₁₃	semidirect
595. #476	C₂²×C₁₃	semidirect
596. #475	C₂²×C₁₃	semidirect
597. #475	C₂²×C₁₃	semidirect
600. #474	C₂²×C₁₃	semidirect
601. #474	C₂²×C₁₃	semidirect
602. #446	C₂²×C₁₃	semidirect
603. #446	C₂²×C₁₃	semidirect
604. #446	C₂²×C₁₃	semidirect
605. C₈×Q₈	C₂²×C₁₃	semidirect
675. AGL(1,ℤ/8)	Q₈×C₁₃	semidirect
857. #41	C₂×Q₈×C₁₃	semidirect
892. SD₁₆	C₂×Q₈×C₁₃	semidirect
893. D₈	C₂×Q₈×C₁₃	semidirect
895. M₁₆	C₂×Q₈×C₁₃	semidirect
980. C₁₃	#61385	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×#3501	2
C₁₃×#3389	2
C₁₃×#3388	2
C₁₃×#3386	2
C₁₃×#3384	2
C₁₃×#3381	2
C₁₃×#3380	2
C₁₃×#3166	2
C₁₃×#3164	2
C₁₃×#3163	2
C₁₃×#3084	2
C₁₃×#3083	2
C₁₃×#3081	2
C₁₃×#3076	2
C₂×C₁₃×#478	2
C₁₃×#2962	2
C₁₃×#2946	2
C₄×C₁₃×AGL(1,ℤ/8)	2
#61385	13

Subgroups — C13×#61385 #15747724

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61385 #15747724