Subgroups — C₁₃×#61349 #15747688

Order 3328.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1150 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3504	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3377	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3368	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3366	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3365	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3361	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3142	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3136	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3136	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	C₂×C₁₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2962	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2952	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2951	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₁₃×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
27	C₁₃×#559	C₂²	1	2	yes	—
28	C₁₃×#559	C₂²	1	2	yes	—
29	C₁₃×#557	C₂²	1	2	yes	complemented
30	C₁₃×#557	C₂²	1	2	yes	complemented
31	C₁₃×#556	C₂²	1	2	yes	—
32	C₁₃×#555	—	2	1	no	—
33	C₁₃×#554	—	2	2	no	—
34	C₁₃×#554	—	2	2	no	—
35	C₁₃×#554	C₂²	1	2	yes	complemented
36	C₁₃×#554	C₂²	1	2	yes	complemented
37	C₁₃×#553	—	2	1	no	—
38	C₁₃×#553	—	2	1	no	—
39	C₁₃×#550	C₂²	1	2	yes	—
40	C₁₃×#547	—	2	1	no	—
41	C₁₃×#544	—	2	1	no	—
42	C₁₃×#544	—	2	1	no	—
43	C₁₃×#544	C₂²	1	1	yes	characteristic
44	C₁₃×#544	C₂²	1	1	yes	characteristic
45	C₁₃×#538	—	2	2	no	—
46	C₁₃×#535	C₂²	1	1	yes	characteristic
47	C₁₃×#535	C₂²	1	1	yes	characteristic
48	C₁₃×#533	—	2	1	no	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#532	C₂²	1	1	yes	characteristic
51	C₂×C₁₃×#125	—	2	1	no	—
52	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
53	C₁₃×#525	—	2	2	no	—
54	C₁₃×#520	C₂²	1	1	yes	characteristic
55	C₁₃×#520	C₂²	1	1	yes	characteristic
56	C₁₃×#520	C₂²	1	1	yes	characteristic
57	C₁₃×#520	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
60	C₁₃×#491	C₂²	1	2	yes	complemented
61	C₁₃×#490	C₂²	1	2	yes	—
62	C₁₃×#490	C₂²	1	2	yes	—
63	C₁₃×#490	C₂²	1	2	yes	complemented
64	C₁₃×#489	C₂²	1	2	yes	—
65	C₁₃×#489	C₂²	1	2	yes	—
66	C₁₃×#488	C₂²	1	2	yes	—
67	C₁₃×#488	C₂²	1	2	yes	—
68	C₁₃×#488	C₂²	1	2	yes	complemented
69	C₁₃×#488	C₂²	1	2	yes	complemented
70	C₁₃×#486	C₂²	1	2	yes	—
71	C₁₃×#486	C₂²	1	2	yes	—
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	complemented
79	C₁₃×#478	C₂²	1	2	yes	complemented
80	C₁₃×#477	C₂²	1	2	yes	complemented
81	C₁₃×#476	C₂²	1	2	yes	complemented
82	C₁₃×#475	C₂²	1	2	yes	complemented
83	C₁₃×#474	C₂²	1	2	yes	complemented
84	C₁₃×#464	C₂²	1	2	yes	—
85	C₁₃×#464	C₂²	1	2	yes	—
86	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#463	C₂²	1	2	yes	—
90	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#460	C₂²	1	2	yes	—
95	C₁₃×#460	C₂²	1	2	yes	—
96	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#459	C₂²	1	2	yes	—
98	C₁₃×#459	C₂²	1	2	yes	—
99	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#446	C₂²	1	2	yes	complemented
101	C₁₃×#446	C₂²	1	2	yes	complemented
102	C₁₃×#446	C₂²	1	2	yes	complemented
103	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
104	C₁₃×#442	C₂²	1	2	yes	—
105	C₁₃×#442	C₂²	1	2	yes	complemented
106	C₁₃×#441	C₂²	1	2	yes	complemented
107	C₁₃×#440	C₂²	1	2	yes	—
108	C₁₃×#440	C₂²	1	2	yes	complemented
109	C₁₃×#440	C₂²	1	2	yes	complemented
110	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
111	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
112	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
113	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
114	C₄×C₁₃×D₈	C₂²	1	2	yes	—
115	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
116	C₁₃×#428	C₂²	1	1	yes	characteristic
117	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
118	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
119	C₁₃×#424	C₂²	1	1	yes	characteristic
120	C₁₃×#424	C₂²	1	1	yes	characteristic
121	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
122	C₁₃×#418	C₂²	1	1	yes	characteristic
123	C₁₃×#417	C₂²	1	1	yes	characteristic
124	C₁₃×#417	C₂²	1	1	yes	characteristic
125	C₁₃×#417	C₂²	1	1	yes	characteristic
126	C₁₃×#417	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	—	2	2	no	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	—	2	1	no	—
141	C₁₃×AGL(1,ℤ/8)	—	2	4	no	—
142	C₁₃×#135	—	2	4	no	—
143	C₁₃×#135	—	2	4	no	—
144	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×D₈	C₂³	1	2	yes	—
152	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
156	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
157	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
158	C₁₃×C₄⋊Q₈	—	2	2	no	—
159	C₁₃×C₄⋊Q₈	—	2	2	no	—
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
161	C₁₃×C₄⋊Q₈	—	2	1	no	—
162	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₁₃×#127	C₂³	1	2	yes	—
168	C₁₃×#127	C₂³	1	2	yes	—
169	C₁₃×#127	C₂³	1	1	yes	characteristic
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#125	—	2	1	no	—
173	C₁₃×#125	—	2	1	no	—
174	C₁₃×#125	—	2	2	no	—
175	C₁₃×#125	—	2	2	no	—
176	C₁₃×#125	—	2	2	no	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	D₄	1	1	yes	characteristic
181	C₁₃×#125	D₄	1	1	yes	characteristic
182	C₁₃×#125	C₂³	1	2	yes	—
183	C₁₃×#125	C₂³	1	2	yes	—
184	C₁₃×#125	C₂³	1	2	yes	—
185	C₁₃×#125	C₂³	1	2	yes	—
186	C₁₃×#124	—	2	2	no	—
187	C₁₃×#124	—	2	2	no	—
188	C₁₃×#124	C₂³	1	2	yes	—
189	C₁₃×#124	C₂³	1	2	yes	—
190	C₁₃×#124	C₂³	1	1	yes	characteristic
191	C₁₃×#124	C₂³	1	1	yes	characteristic
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	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	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
206	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
207	C₁₃×#121	—	2	1	no	—
208	C₁₃×#121	—	2	1	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	1	no	—
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	1	no	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#120	—	2	2	no	—
217	C₁₃×#120	—	2	2	no	—
218	C₄×Q₈×C₁₃	—	2	2	no	—
219	C₄×Q₈×C₁₃	—	2	2	no	—
220	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
222	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
223	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
224	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
227	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
228	C₄×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	2	no	—
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	—	2	2	no	—
233	C₄×D₄×C₁₃	—	2	2	no	—
234	C₄×D₄×C₁₃	—	2	2	no	—
235	C₄×D₄×C₁₃	—	2	2	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	2	yes	—
242	C₄×D₄×C₁₃	C₂³	1	2	yes	—
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₄×D₄×C₁₃	C₂³	1	2	yes	—
245	C₄×D₄×C₁₃	C₂³	1	2	yes	—
246	C₄×D₄×C₁₃	C₂³	1	2	yes	—
247	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
248	C₁₃×#117	—	2	1	no	—
249	C₁₃×#117	—	2	1	no	—
250	C₁₃×#117	—	2	1	no	—
251	C₁₃×#117	—	2	1	no	—
252	C₁₃×#117	—	2	2	no	—
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	C₂³	1	1	yes	characteristic
255	C₁₃×#117	C₂³	1	1	yes	characteristic
256	C₁₃×#117	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
258	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
259	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
260	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
261	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
262	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
263	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
264	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
269	C₂×C₄²×C₁₃	—	2	1	no	—
270	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#107	C₂³	1	2	yes	—
273	C₁₃×#107	C₂³	1	2	yes	—
274	C₁₃×#106	C₂³	1	2	yes	—
275	C₁₃×#106	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	2	yes	—
277	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
279	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#102	C₂³	1	2	yes	—
295	C₁₃×#102	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	1	yes	characteristic
299	C₁₃×#102	C₂³	1	1	yes	characteristic
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×#102	C₂³	1	2	yes	—
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₁₃×#97	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₃	C₂³	1	2	yes	—
313	C₄×C₈×C₁₃	C₂³	1	2	yes	—
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#61349	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	1	no	—
317	C₁₃×#41	—	2	2	no	—
318	C₁₃×#41	—	2	2	no	—
319	C₁₃×#41	—	2	2	no	—
320	C₁₃×#41	—	2	2	no	—
321	C₁₃×#41	—	2	2	no	—
322	C₁₃×#41	—	8	4	no	—
323	C₁₃×#41	#41	1	4	yes	complemented
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	2	no	—
326	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
327	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
328	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
329	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
330	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂×D₄×C₁₃	—	2	1	no	—
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	1	no	—
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
344	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
345	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	1	no	—
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	—	2	1	no	—
352	C₂²×C₄×C₁₃	—	2	1	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	1	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	2	2	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	8	2	no	—
362	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
363	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₁₃×Q₁₆	—	2	2	no	—
366	C₁₃×Q₁₆	—	2	2	no	—
367	C₁₃×SD₁₆	—	2	2	no	—
368	C₁₃×SD₁₆	—	2	2	no	—
369	C₁₃×SD₁₆	—	2	4	no	—
370	C₁₃×SD₁₆	—	2	2	no	—
371	C₁₃×SD₁₆	—	2	2	no	—
372	C₁₃×D₈	—	2	2	no	—
373	C₁₃×D₈	—	2	2	no	—
374	C₁₃×D₈	—	2	4	no	—
375	C₁₃×M₁₆	—	2	2	no	—
376	C₁₃×M₁₆	—	2	2	no	—
377	C₂×C₈×C₁₃	—	2	2	no	—
378	C₂×C₈×C₁₃	—	2	2	no	—
379	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
380	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
383	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	2	2	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	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	1	no	—
403	C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
413	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
414	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
416	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
419	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
420	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	—	2	2	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	1	no	—
427	C₁₃×C₂²⋊C₄	—	2	1	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	1	no	—
433	C₁₃×C₂²⋊C₄	—	2	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	1	no	—
437	C₁₃×C₂²⋊C₄	—	2	1	no	—
438	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₄²×C₁₃	—	2	1	no	—
441	C₄²×C₁₃	—	2	1	no	—
442	C₄²×C₁₃	—	2	1	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	—	2	2	no	—
446	C₄²×C₁₃	—	2	2	no	—
447	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
448	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
449	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₄²×C₁₃	C₂⁴	1	2	yes	—
451	C₄²×C₁₃	C₂⁴	1	2	yes	—
452	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
453	#3506	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3504	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3377	C₂×C₁₃	1	2	yes	complemented
456	#3376	C₂×C₁₃	1	2	yes	complemented
457	#3371	C₂×C₁₃	1	2	yes	complemented
458	#3370	C₂×C₁₃	1	2	yes	complemented
459	#3368	C₂×C₁₃	1	2	yes	complemented
460	#3366	C₂×C₁₃	1	2	yes	complemented
461	#3365	C₂×C₁₃	1	2	yes	complemented
462	#3361	C₂×C₁₃	1	2	yes	complemented
463	#3142	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3136	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3136	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3084	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3083	C₂×C₁₃	1	1	yes	characteristic, complemented
468	C₂×#478	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#2962	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#2952	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#2951	C₂×C₁₃	1	1	yes	characteristic, complemented
475	C₄×AGL(1,ℤ/8)	C₂×C₁₃	1	1	yes	characteristic, complemented
476	C₂³×C₁₃	—	2	1	no	—
477	C₂³×C₁₃	—	2	2	no	—
478	C₂³×C₁₃	—	2	1	no	—
479	C₂³×C₁₃	—	2	1	no	—
480	C₂³×C₁₃	—	4	2	no	—
481	C₂³×C₁₃	—	8	1	no	—
482	C₂³×C₁₃	—	8	1	no	—
483	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
484	Q₈×C₁₃	—	2	1	no	—
485	Q₈×C₁₃	—	2	1	no	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	2	1	no	—
488	Q₈×C₁₃	—	2	1	no	—
489	Q₈×C₁₃	—	4	2	no	—
490	Q₈×C₁₃	—	4	2	no	—
491	Q₈×C₁₃	—	8	2	no	—
492	Q₈×C₁₃	—	8	2	no	—
493	Q₈×C₁₃	C₂×#41	1	2	yes	—
494	D₄×C₁₃	—	2	4	no	—
495	D₄×C₁₃	—	2	2	no	—
496	D₄×C₁₃	—	2	1	no	—
497	D₄×C₁₃	—	2	1	no	—
498	D₄×C₁₃	—	2	1	no	—
499	D₄×C₁₃	—	2	2	no	—
500	D₄×C₁₃	—	2	1	no	—
501	D₄×C₁₃	—	2	1	no	—
502	D₄×C₁₃	—	4	2	no	—
503	D₄×C₁₃	—	4	2	no	—
504	D₄×C₁₃	—	4	2	no	—
505	D₄×C₁₃	—	4	2	no	—
506	D₄×C₁₃	—	8	1	no	—
507	D₄×C₁₃	—	8	2	no	—
508	D₄×C₁₃	—	8	2	no	—
509	D₄×C₁₃	—	8	2	no	—
510	D₄×C₁₃	—	8	2	no	—
511	D₄×C₁₃	C₂×#41	1	2	yes	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	4	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	4	1	no	—
522	C₂×C₄×C₁₃	—	4	1	no	—
523	C₂×C₄×C₁₃	—	4	4	no	—
524	C₂×C₄×C₁₃	—	4	2	no	—
525	C₂×C₄×C₁₃	—	4	2	no	—
526	C₂×C₄×C₁₃	—	8	1	no	—
527	C₂×C₄×C₁₃	—	8	2	no	—
528	C₂×C₄×C₁₃	—	8	1	no	—
529	C₂×C₄×C₁₃	—	8	2	no	—
530	C₂×C₄×C₁₃	—	8	2	no	—
531	C₂×C₄×C₁₃	—	8	2	no	—
532	C₂×C₄×C₁₃	—	8	2	no	—
533	C₂×C₄×C₁₃	—	8	1	no	—
534	C₂×C₄×C₁₃	—	8	1	no	—
535	C₂×C₄×C₁₃	—	8	1	no	—
536	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
537	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
540	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
541	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
543	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
544	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
546	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
547	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
548	C₈×C₁₃	—	2	1	no	—
549	C₈×C₁₃	—	2	1	no	—
550	C₈×C₁₃	—	2	1	no	—
551	C₈×C₁₃	—	2	1	no	—
552	C₈×C₁₃	—	2	2	no	—
553	C₈×C₁₃	—	2	2	no	—
554	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
555	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
556	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
557	#559	C₂²×C₁₃	1	2	yes	—
558	#559	C₂²×C₁₃	1	2	yes	—
559	#557	C₂²×C₁₃	1	2	yes	complemented
560	#557	C₂²×C₁₃	1	2	yes	complemented
561	#556	C₂²×C₁₃	1	2	yes	—
562	#555	—	2	1	no	—
563	#554	—	2	2	no	—
564	#554	—	2	2	no	—
565	#554	C₂²×C₁₃	1	2	yes	complemented
566	#554	C₂²×C₁₃	1	2	yes	complemented
567	#553	—	2	1	no	—
568	#553	—	2	1	no	—
569	#550	C₂²×C₁₃	1	2	yes	—
570	#547	—	2	1	no	—
571	#544	—	2	1	no	—
572	#544	—	2	1	no	—
573	#544	C₂²×C₁₃	1	1	yes	characteristic
574	#544	C₂²×C₁₃	1	1	yes	characteristic
575	#538	—	2	2	no	—
576	#535	C₂²×C₁₃	1	1	yes	characteristic
577	#535	C₂²×C₁₃	1	1	yes	characteristic
578	#533	—	2	1	no	—
579	#533	C₂²×C₁₃	1	1	yes	characteristic
580	#532	C₂²×C₁₃	1	1	yes	characteristic
581	C₂×#125	—	2	1	no	—
582	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
583	#525	—	2	2	no	—
584	#520	C₂²×C₁₃	1	1	yes	characteristic
585	#520	C₂²×C₁₃	1	1	yes	characteristic
586	#520	C₂²×C₁₃	1	1	yes	characteristic
587	#520	C₂²×C₁₃	1	1	yes	characteristic
588	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
589	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
590	#491	C₂²×C₁₃	1	2	yes	complemented
591	#490	C₂²×C₁₃	1	2	yes	—
592	#490	C₂²×C₁₃	1	2	yes	—
593	#490	C₂²×C₁₃	1	2	yes	complemented
594	#489	C₂²×C₁₃	1	2	yes	—
595	#489	C₂²×C₁₃	1	2	yes	—
596	#488	C₂²×C₁₃	1	2	yes	—
597	#488	C₂²×C₁₃	1	2	yes	—
598	#488	C₂²×C₁₃	1	2	yes	complemented
599	#488	C₂²×C₁₃	1	2	yes	complemented
600	#486	C₂²×C₁₃	1	2	yes	—
601	#486	C₂²×C₁₃	1	2	yes	—
602	#479	C₂²×C₁₃	1	2	yes	complemented
603	#479	C₂²×C₁₃	1	2	yes	complemented
604	#478	C₂²×C₁₃	1	2	yes	—
605	#478	C₂²×C₁₃	1	2	yes	—
606	#478	C₂²×C₁₃	1	2	yes	—
607	#478	C₂²×C₁₃	1	2	yes	—
608	#478	C₂²×C₁₃	1	2	yes	complemented
609	#478	C₂²×C₁₃	1	2	yes	complemented
610	#477	C₂²×C₁₃	1	2	yes	complemented
611	#476	C₂²×C₁₃	1	2	yes	complemented
612	#475	C₂²×C₁₃	1	2	yes	complemented
613	#474	C₂²×C₁₃	1	2	yes	complemented
614	#464	C₂²×C₁₃	1	2	yes	—
615	#464	C₂²×C₁₃	1	2	yes	—
616	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
618	#463	C₂²×C₁₃	1	2	yes	—
619	#463	C₂²×C₁₃	1	2	yes	—
620	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
622	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
623	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
624	#460	C₂²×C₁₃	1	2	yes	—
625	#460	C₂²×C₁₃	1	2	yes	—
626	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#459	C₂²×C₁₃	1	2	yes	—
628	#459	C₂²×C₁₃	1	2	yes	—
629	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#446	C₂²×C₁₃	1	2	yes	complemented
631	#446	C₂²×C₁₃	1	2	yes	complemented
632	#446	C₂²×C₁₃	1	2	yes	complemented
633	C₈×Q₈	C₂²×C₁₃	1	2	yes	complemented
634	#442	C₂²×C₁₃	1	2	yes	—
635	#442	C₂²×C₁₃	1	2	yes	complemented
636	#441	C₂²×C₁₃	1	2	yes	complemented
637	#440	C₂²×C₁₃	1	2	yes	—
638	#440	C₂²×C₁₃	1	2	yes	complemented
639	#440	C₂²×C₁₃	1	2	yes	complemented
640	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
641	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
642	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
643	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
644	C₄×D₈	C₂²×C₁₃	1	2	yes	—
645	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
646	#428	C₂²×C₁₃	1	1	yes	characteristic
647	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
648	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
649	#424	C₂²×C₁₃	1	1	yes	characteristic
650	#424	C₂²×C₁₃	1	1	yes	characteristic
651	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
652	#418	C₂²×C₁₃	1	1	yes	characteristic
653	#417	C₂²×C₁₃	1	1	yes	characteristic
654	#417	C₂²×C₁₃	1	1	yes	characteristic
655	#417	C₂²×C₁₃	1	1	yes	characteristic
656	#417	C₂²×C₁₃	1	1	yes	characteristic
657	#417	C₂²×C₁₃	1	1	yes	characteristic
658	#416	C₂²×C₁₃	1	1	yes	characteristic
659	#416	C₂²×C₁₃	1	1	yes	characteristic
660	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
661	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
662	#405	C₂²×C₁₃	1	1	yes	characteristic
663	#405	C₂²×C₁₃	1	1	yes	characteristic
664	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
665	C₂²×C₁₃	—	2	1	no	—
666	C₂²×C₁₃	—	2	1	no	—
667	C₂²×C₁₃	—	2	2	no	—
668	C₂²×C₁₃	—	4	1	no	—
669	C₂²×C₁₃	—	4	1	no	—
670	C₂²×C₁₃	—	4	1	no	—
671	C₂²×C₁₃	—	4	1	no	—
672	C₂²×C₁₃	—	4	2	no	—
673	C₂²×C₁₃	—	4	2	no	—
674	C₂²×C₁₃	—	4	1	no	—
675	C₂²×C₁₃	—	4	1	no	—
676	C₂²×C₁₃	—	4	1	no	—
677	C₂²×C₁₃	—	4	1	no	—
678	C₂²×C₁₃	—	4	2	no	—
679	C₂²×C₁₃	—	8	4	no	—
680	C₂²×C₁₃	#548	1	2	yes	—
681	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
682	C₄×C₁₃	—	2	1	no	—
683	C₄×C₁₃	—	2	1	no	—
684	C₄×C₁₃	—	2	2	no	—
685	C₄×C₁₃	—	2	2	no	—
686	C₄×C₁₃	—	2	1	no	—
687	C₄×C₁₃	—	2	1	no	—
688	C₄×C₁₃	—	2	2	no	—
689	C₄×C₁₃	—	2	2	no	—
690	C₄×C₁₃	—	2	2	no	—
691	C₄×C₁₃	—	4	2	no	—
692	C₄×C₁₃	—	4	1	no	—
693	C₄×C₁₃	—	4	2	no	—
694	C₄×C₁₃	—	4	2	no	—
695	C₄×C₁₃	—	4	1	no	—
696	C₄×C₁₃	—	4	1	no	—
697	C₄×C₁₃	—	4	1	no	—
698	C₄×C₁₃	#548	1	2	yes	—
699	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
700	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
701	C₂×#41	—	2	2	no	—
702	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
703	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
704	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
705	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
706	C₂³×C₄	—	2	1	no	—
707	AGL(1,ℤ/8)	—	2	4	no	—
708	#135	—	2	4	no	—
709	#135	—	2	4	no	—
710	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
711	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
712	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
713	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
714	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
715	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
716	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
717	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
718	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
719	C₂×D₈	C₂³×C₁₃	1	2	yes	—
720	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
722	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
723	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
724	C₄⋊Q₈	—	2	2	no	—
725	C₄⋊Q₈	—	2	2	no	—
726	C₄⋊Q₈	—	2	1	no	—
727	C₄⋊Q₈	—	2	1	no	—
728	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
729	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
730	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
731	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
732	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
733	#127	C₂³×C₁₃	1	1	yes	characteristic
734	#127	C₂³×C₁₃	1	2	yes	—
735	#127	C₂³×C₁₃	1	2	yes	—
736	#126	—	2	2	no	—
737	#126	—	2	2	no	—
738	#125	—	2	1	no	—
739	#125	—	2	1	no	—
740	#125	—	2	2	no	—
741	#125	—	2	2	no	—
742	#125	—	2	2	no	—
743	#125	—	2	2	no	—
744	#125	—	2	1	no	—
745	#125	—	2	1	no	—
746	#125	D₄×C₁₃	1	1	yes	characteristic
747	#125	D₄×C₁₃	1	1	yes	characteristic
748	#125	C₂³×C₁₃	1	2	yes	—
749	#125	C₂³×C₁₃	1	2	yes	—
750	#125	C₂³×C₁₃	1	2	yes	—
751	#125	C₂³×C₁₃	1	2	yes	—
752	#124	—	2	2	no	—
753	#124	—	2	2	no	—
754	#124	C₂³×C₁₃	1	1	yes	characteristic
755	#124	C₂³×C₁₃	1	1	yes	characteristic
756	#124	C₂³×C₁₃	1	2	yes	—
757	#124	C₂³×C₁₃	1	2	yes	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	—	2	2	no	—
766	C₂²⋊Q₈	—	2	2	no	—
767	C₂²⋊Q₈	—	2	2	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
772	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
773	#121	—	2	1	no	—
774	#121	—	2	1	no	—
775	#121	—	2	2	no	—
776	#121	—	2	1	no	—
777	#121	—	2	1	no	—
778	#121	—	2	1	no	—
779	#121	—	2	1	no	—
780	#121	—	2	2	no	—
781	#121	—	2	2	no	—
782	#120	—	2	2	no	—
783	#120	—	2	2	no	—
784	C₄×Q₈	—	2	2	no	—
785	C₄×Q₈	—	2	2	no	—
786	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
787	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
788	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
789	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
790	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
791	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
792	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
793	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	2	no	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	—	2	2	no	—
799	C₄×D₄	—	2	2	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	C₂³×C₁₃	1	2	yes	—
807	C₄×D₄	C₂³×C₁₃	1	2	yes	—
808	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
809	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
810	C₄×D₄	C₂³×C₁₃	1	2	yes	—
811	C₄×D₄	C₂³×C₁₃	1	2	yes	—
812	C₄×D₄	C₂³×C₁₃	1	2	yes	—
813	C₄×D₄	C₂³×C₁₃	1	2	yes	—
814	#117	—	2	1	no	—
815	#117	—	2	1	no	—
816	#117	—	2	1	no	—
817	#117	—	2	1	no	—
818	#117	—	2	2	no	—
819	#117	—	2	1	no	—
820	#117	C₂³×C₁₃	1	1	yes	characteristic
821	#117	C₂³×C₁₃	1	1	yes	characteristic
822	#117	C₂³×C₁₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	—	2	1	no	—
824	C₂×C₄⋊C₄	—	2	1	no	—
825	C₂×C₄⋊C₄	—	2	1	no	—
826	C₂×C₄⋊C₄	—	2	1	no	—
827	C₂×C₄⋊C₄	—	2	1	no	—
828	C₂×C₄⋊C₄	—	2	1	no	—
829	C₂×C₄⋊C₄	—	2	2	no	—
830	C₂×C₄⋊C₄	—	2	2	no	—
831	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
834	C₂×C₂²⋊C₄	—	2	1	no	—
835	C₂×C₄²	—	2	1	no	—
836	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
837	#107	C₂³×C₁₃	1	2	yes	—
838	#107	C₂³×C₁₃	1	2	yes	—
839	#107	C₂³×C₁₃	1	2	yes	—
840	#106	C₂³×C₁₃	1	2	yes	—
841	#106	C₂³×C₁₃	1	2	yes	—
842	#106	C₂³×C₁₃	1	2	yes	—
843	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
844	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
845	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
846	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
847	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
848	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
849	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
850	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
851	#103	C₂³×C₁₃	1	1	yes	characteristic
852	#103	C₂³×C₁₃	1	1	yes	characteristic
853	#103	C₂³×C₁₃	1	1	yes	characteristic
854	#103	C₂³×C₁₃	1	1	yes	characteristic
855	#103	C₂³×C₁₃	1	2	yes	—
856	#103	C₂³×C₁₃	1	2	yes	—
857	#103	C₂³×C₁₃	1	2	yes	—
858	#103	C₂³×C₁₃	1	2	yes	—
859	#103	C₂³×C₁₃	1	2	yes	—
860	#102	C₂³×C₁₃	1	2	yes	—
861	#102	C₂³×C₁₃	1	2	yes	—
862	#102	C₂³×C₁₃	1	2	yes	—
863	#102	C₂³×C₁₃	1	2	yes	—
864	#102	C₂³×C₁₃	1	1	yes	characteristic
865	#102	C₂³×C₁₃	1	1	yes	characteristic
866	#102	C₂³×C₁₃	1	1	yes	characteristic
867	#102	C₂³×C₁₃	1	1	yes	characteristic
868	#102	C₂³×C₁₃	1	2	yes	—
869	#102	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	2	yes	—
871	#102	C₂³×C₁₃	1	2	yes	—
872	#102	C₂³×C₁₃	1	2	yes	—
873	#102	C₂³×C₁₃	1	2	yes	—
874	#102	C₂³×C₁₃	1	2	yes	—
875	#97	C₂³×C₁₃	1	2	yes	—
876	#97	C₂³×C₁₃	1	2	yes	—
877	#97	C₂³×C₁₃	1	2	yes	—
878	C₄×C₈	C₂³×C₁₃	1	2	yes	—
879	C₄×C₈	C₂³×C₁₃	1	2	yes	—
880	C₄×C₈	C₂³×C₁₃	1	2	yes	—
881	C₂×C₁₃	—	2	2	no	—
882	C₂×C₁₃	—	4	2	no	—
883	C₂×C₁₃	—	8	1	no	—
884	C₂×C₁₃	—	8	1	no	—
885	C₂×C₁₃	—	8	2	no	—
886	C₂×C₁₃	C₂×#548	1	1	yes	characteristic
887	C₂×C₁₃	#3584	1	1	yes	characteristic
888	C₂×C₁₃	#3585	1	1	yes	characteristic
889	C₂⁴	—	2	1	no	—
890	#41	—	2	2	no	—
891	#41	—	2	2	no	—
892	#41	—	2	2	no	—
893	#41	—	2	2	no	—
894	#41	—	2	2	no	—
895	#41	—	8	4	no	—
896	#41	C₁₃×#41	1	4	yes	complemented
897	C₂×Q₈	—	2	2	no	—
898	C₂×Q₈	—	2	2	no	—
899	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
900	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
901	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
902	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
903	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
904	C₂×D₄	—	2	1	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	—	2	1	no	—
907	C₂×D₄	—	2	1	no	—
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	—	2	2	no	—
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	1	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
917	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
918	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
919	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
920	C₂²×C₄	—	2	1	no	—
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	2	2	no	—
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	8	2	no	—
935	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
936	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
937	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
938	Q₁₆	—	2	2	no	—
939	Q₁₆	—	2	2	no	—
940	SD₁₆	—	2	2	no	—
941	SD₁₆	—	2	2	no	—
942	SD₁₆	—	2	4	no	—
943	SD₁₆	—	2	2	no	—
944	SD₁₆	—	2	2	no	—
945	D₈	—	2	2	no	—
946	D₈	—	2	2	no	—
947	D₈	—	2	4	no	—
948	M₁₆	—	2	2	no	—
949	M₁₆	—	2	2	no	—
950	C₂×C₈	—	2	2	no	—
951	C₂×C₈	—	2	2	no	—
952	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
953	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
954	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
955	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
956	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
957	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
980	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
981	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
982	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
983	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
984	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
985	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
987	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
988	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
989	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
990	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
991	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
992	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
993	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	1	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	1	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	1	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1012	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1013	C₄²	—	2	1	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	2	1	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	2	no	—
1020	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1021	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1022	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1023	C₄²	C₂⁴×C₁₃	1	2	yes	—
1024	C₄²	C₂⁴×C₁₃	1	2	yes	—
1025	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1026	C₁₃	#61349	1	1	yes	characteristic, direct product factor, Sylow
1027	C₂³	—	2	1	no	—
1028	C₂³	—	2	2	no	—
1029	C₂³	—	2	1	no	—
1030	C₂³	—	2	1	no	—
1031	C₂³	—	4	2	no	—
1032	C₂³	—	8	1	no	—
1033	C₂³	—	8	1	no	—
1034	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1035	Q₈	—	2	1	no	—
1036	Q₈	—	2	1	no	—
1037	Q₈	—	2	1	no	—
1038	Q₈	—	2	1	no	—
1039	Q₈	—	2	1	no	—
1040	Q₈	—	4	2	no	—
1041	Q₈	—	4	2	no	—
1042	Q₈	—	8	2	no	—
1043	Q₈	—	8	2	no	—
1044	Q₈	C₂×C₁₃×#41	1	2	yes	—
1045	D₄	—	2	4	no	—
1046	D₄	—	2	2	no	—
1047	D₄	—	2	1	no	—
1048	D₄	—	2	1	no	—
1049	D₄	—	2	1	no	—
1050	D₄	—	2	2	no	—
1051	D₄	—	2	1	no	—
1052	D₄	—	2	1	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	4	2	no	—
1055	D₄	—	4	2	no	—
1056	D₄	—	4	2	no	—
1057	D₄	—	8	1	no	—
1058	D₄	—	8	2	no	—
1059	D₄	—	8	2	no	—
1060	D₄	—	8	2	no	—
1061	D₄	—	8	2	no	—
1062	D₄	C₂×C₁₃×#41	1	2	yes	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	4	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	4	1	no	—
1073	C₂×C₄	—	4	1	no	—
1074	C₂×C₄	—	4	4	no	—
1075	C₂×C₄	—	4	2	no	—
1076	C₂×C₄	—	4	2	no	—
1077	C₂×C₄	—	8	2	no	—
1078	C₂×C₄	—	8	1	no	—
1079	C₂×C₄	—	8	2	no	—
1080	C₂×C₄	—	8	1	no	—
1081	C₂×C₄	—	8	2	no	—
1082	C₂×C₄	—	8	2	no	—
1083	C₂×C₄	—	8	2	no	—
1084	C₂×C₄	—	8	1	no	—
1085	C₂×C₄	—	8	1	no	—
1086	C₂×C₄	—	8	1	no	—
1087	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1088	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1089	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1090	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1091	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1092	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1093	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1094	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1095	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1096	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1097	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1098	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1099	C₈	—	2	1	no	—
1100	C₈	—	2	1	no	—
1101	C₈	—	2	1	no	—
1102	C₈	—	2	1	no	—
1103	C₈	—	2	2	no	—
1104	C₈	—	2	2	no	—
1105	C₂²	—	2	1	no	—
1106	C₂²	—	2	1	no	—
1107	C₂²	—	2	2	no	—
1108	C₂²	—	4	1	no	—
1109	C₂²	—	4	1	no	—
1110	C₂²	—	4	1	no	—
1111	C₂²	—	4	1	no	—
1112	C₂²	—	4	2	no	—
1113	C₂²	—	4	2	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	1	no	—
1116	C₂²	—	4	1	no	—
1117	C₂²	—	4	1	no	—
1118	C₂²	—	4	2	no	—
1119	C₂²	—	8	4	no	—
1120	C₂²	C₁₃×#548	1	2	yes	—
1121	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1122	C₄	—	2	1	no	—
1123	C₄	—	2	1	no	—
1124	C₄	—	2	2	no	—
1125	C₄	—	2	2	no	—
1126	C₄	—	2	1	no	—
1127	C₄	—	2	1	no	—
1128	C₄	—	2	2	no	—
1129	C₄	—	2	2	no	—
1130	C₄	—	2	2	no	—
1131	C₄	—	4	2	no	—
1132	C₄	—	4	1	no	—
1133	C₄	—	4	2	no	—
1134	C₄	—	4	2	no	—
1135	C₄	—	4	1	no	—
1136	C₄	—	4	1	no	—
1137	C₄	—	4	1	no	—
1138	C₄	C₁₃×#548	1	2	yes	—
1139	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1140	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1141	C₂	—	2	2	no	—
1142	C₂	—	4	2	no	—
1143	C₂	—	8	2	no	—
1144	C₂	—	8	1	no	—
1145	C₂	—	8	1	no	—
1146	C₂	C₂×C₁₃×#548	1	1	yes	characteristic
1147	C₂	C₁₃×#3584	1	1	yes	characteristic
1148	C₂	C₁₃×#3585	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 ◁ C₁₃×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3506	C₂	semidirect
2. C₁₃×#3504	C₂	semidirect
3. C₁₃×#3377	C₂	semidirect
4. C₁₃×#3376	C₂	semidirect
5. C₁₃×#3371	C₂	semidirect
6. C₁₃×#3370	C₂	semidirect
7. C₁₃×#3368	C₂	semidirect
8. C₁₃×#3366	C₂	semidirect
9. C₁₃×#3365	C₂	semidirect
10. C₁₃×#3361	C₂	semidirect
11. C₁₃×#3142	C₂	semidirect
12. C₁₃×#3136	C₂	semidirect
13. C₁₃×#3136	C₂	semidirect
14. C₁₃×#3084	C₂	semidirect
15. C₁₃×#3083	C₂	semidirect
16. C₂×C₁₃×#478	C₂	semidirect
17. C₁₃×#3045	C₂	semidirect
18. C₁₃×#3045	C₂	semidirect
19. C₁₃×#3035	C₂	semidirect
20. C₁₃×#2962	C₂	semidirect
21. C₁₃×#2952	C₂	semidirect
22. C₁₃×#2951	C₂	semidirect
23. C₄×C₁₃×AGL(1,ℤ/8)	C₂	semidirect
29. C₁₃×#557	C₂²	semidirect
30. C₁₃×#557	C₂²	semidirect
35. C₁₃×#554	C₂²	semidirect
36. C₁₃×#554	C₂²	semidirect
60. C₁₃×#491	C₂²	semidirect
63. C₁₃×#490	C₂²	semidirect
68. C₁₃×#488	C₂²	semidirect
69. C₁₃×#488	C₂²	semidirect
72. C₁₃×#479	C₂²	semidirect
73. C₁₃×#479	C₂²	semidirect
78. C₁₃×#478	C₂²	semidirect
79. C₁₃×#478	C₂²	semidirect
80. C₁₃×#477	C₂²	semidirect
81. C₁₃×#476	C₂²	semidirect
82. C₁₃×#475	C₂²	semidirect
83. C₁₃×#474	C₂²	semidirect
86. C₁₃×#464	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
90. C₁₃×#463	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#462	C₂²	semidirect
93. C₁₃×#461	C₂²	semidirect
96. C₁₃×#460	C₂²	semidirect
99. C₁₃×#459	C₂²	semidirect
100. C₁₃×#446	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₁₃×#446	C₂²	semidirect
103. C₈×Q₈×C₁₃	C₂²	semidirect
105. C₁₃×#442	C₂²	semidirect
106. C₁₃×#441	C₂²	semidirect
108. C₁₃×#440	C₂²	semidirect
109. C₁₃×#440	C₂²	semidirect
110. C₄×C₁₃×Q₁₆	C₂²	semidirect
112. C₄×C₁₃×SD₁₆	C₂²	semidirect
113. C₄×C₁₃×SD₁₆	C₂²	semidirect
115. C₄×C₁₃×D₈	C₂²	semidirect
315. #61349	C₁₃	direct (N × H)
323. C₁₃×#41	#41	semidirect
453. #3506	C₂×C₁₃	semidirect
454. #3504	C₂×C₁₃	semidirect
455. #3377	C₂×C₁₃	semidirect
456. #3376	C₂×C₁₃	semidirect
457. #3371	C₂×C₁₃	semidirect
458. #3370	C₂×C₁₃	semidirect
459. #3368	C₂×C₁₃	semidirect
460. #3366	C₂×C₁₃	semidirect
461. #3365	C₂×C₁₃	semidirect
462. #3361	C₂×C₁₃	semidirect
463. #3142	C₂×C₁₃	semidirect
464. #3136	C₂×C₁₃	semidirect
465. #3136	C₂×C₁₃	semidirect
466. #3084	C₂×C₁₃	semidirect
467. #3083	C₂×C₁₃	semidirect
468. C₂×#478	C₂×C₁₃	semidirect
469. #3045	C₂×C₁₃	semidirect
470. #3045	C₂×C₁₃	semidirect
471. #3035	C₂×C₁₃	semidirect
472. #2962	C₂×C₁₃	semidirect
473. #2952	C₂×C₁₃	semidirect
474. #2951	C₂×C₁₃	semidirect
475. C₄×AGL(1,ℤ/8)	C₂×C₁₃	semidirect
559. #557	C₂²×C₁₃	semidirect
560. #557	C₂²×C₁₃	semidirect
565. #554	C₂²×C₁₃	semidirect
566. #554	C₂²×C₁₃	semidirect
590. #491	C₂²×C₁₃	semidirect
593. #490	C₂²×C₁₃	semidirect
598. #488	C₂²×C₁₃	semidirect
599. #488	C₂²×C₁₃	semidirect
602. #479	C₂²×C₁₃	semidirect
603. #479	C₂²×C₁₃	semidirect
608. #478	C₂²×C₁₃	semidirect
609. #478	C₂²×C₁₃	semidirect
610. #477	C₂²×C₁₃	semidirect
611. #476	C₂²×C₁₃	semidirect
612. #475	C₂²×C₁₃	semidirect
613. #474	C₂²×C₁₃	semidirect
616. #464	C₂²×C₁₃	semidirect
617. #464	C₂²×C₁₃	semidirect
620. #463	C₂²×C₁₃	semidirect
621. #463	C₂²×C₁₃	semidirect
622. #462	C₂²×C₁₃	semidirect
623. #461	C₂²×C₁₃	semidirect
626. #460	C₂²×C₁₃	semidirect
629. #459	C₂²×C₁₃	semidirect
630. #446	C₂²×C₁₃	semidirect
631. #446	C₂²×C₁₃	semidirect
632. #446	C₂²×C₁₃	semidirect
633. C₈×Q₈	C₂²×C₁₃	semidirect
635. #442	C₂²×C₁₃	semidirect
636. #441	C₂²×C₁₃	semidirect
638. #440	C₂²×C₁₃	semidirect
639. #440	C₂²×C₁₃	semidirect
640. C₄×Q₁₆	C₂²×C₁₃	semidirect
642. C₄×SD₁₆	C₂²×C₁₃	semidirect
643. C₄×SD₁₆	C₂²×C₁₃	semidirect
645. C₄×D₈	C₂²×C₁₃	semidirect
896. #41	C₁₃×#41	semidirect
1026. C₁₃	#61349	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×#3506	2
C₁₃×#3504	2
C₁₃×#3377	2
C₁₃×#3376	2
C₁₃×#3371	2
C₁₃×#3370	2
C₁₃×#3368	2
C₁₃×#3366	2
C₁₃×#3365	2
C₁₃×#3361	2
C₁₃×#3142	2
C₁₃×#3136	2
C₁₃×#3084	2
C₁₃×#3083	2
C₂×C₁₃×#478	2
C₁₃×#3045	2
C₁₃×#3035	2
C₁₃×#2962	2
C₁₃×#2952	2
C₁₃×#2951	2
C₄×C₁₃×AGL(1,ℤ/8)	2
#61349	13

Subgroups — C13×#61349 #15747688

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61349 #15747688