Subgroups — C₁₃×#62137 #15748476

Order 3328.

1990 conjugacy classes of subgroups.

The subgroup lattice has 1168 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3515	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3386	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3384	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3345	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3343	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3335	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3334	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3310	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3295	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3251	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3247	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3234	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3228	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3114	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3077	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#478	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	—	2	1	no	—
25	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
26	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#553	C₂²	1	2	yes	complemented
29	C₁₃×#552	—	2	2	no	—
30	C₁₃×#552	—	2	1	no	—
31	C₁₃×#552	C₂²	1	2	yes	complemented
32	C₁₃×#550	C₂²	1	1	yes	characteristic
33	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#548	—	2	1	no	—
35	C₁₃×#547	—	2	1	no	—
36	C₁₃×#547	C₂²	1	1	yes	characteristic
37	C₁₃×#547	C₂²	1	2	yes	—
38	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#546	—	2	1	no	—
40	C₁₃×#546	—	2	2	no	—
41	D₄²×C₁₃	C₂²	1	1	yes	characteristic
42	D₄²×C₁₃	C₂²	1	2	yes	—
43	C₁₃×#541	—	2	1	no	—
44	C₁₃×#539	—	2	2	no	—
45	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#532	C₂²	1	1	yes	characteristic
47	C₁₃×#532	C₂²	1	2	yes	—
48	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#529	C₂²	1	2	yes	complemented
50	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
51	C₁₃×#525	—	2	1	no	—
52	C₁₃×#525	—	2	2	no	—
53	C₁₃×#520	—	2	1	no	—
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₁₃×#501	C₂²	1	2	yes	complemented
58	C₁₃×#501	C₂²	1	2	yes	complemented
59	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#490	C₂²	1	2	yes	complemented
62	C₁₃×#490	C₂²	1	2	yes	complemented
63	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#483	C₂²	1	2	yes	complemented
67	C₁₃×#482	C₂²	1	2	yes	complemented
68	C₁₃×#482	C₂²	1	2	yes	complemented
69	C₁₃×#481	C₂²	1	2	yes	complemented
70	C₁₃×#481	C₂²	1	2	yes	complemented
71	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#480	C₂²	1	2	yes	complemented
73	C₁₃×#480	C₂²	1	2	yes	complemented
74	C₁₃×#480	C₂²	1	2	yes	complemented
75	C₁₃×#478	C₂²	1	2	yes	—
76	C₁₃×#478	C₂²	1	2	yes	—
77	C₁₃×#478	C₂²	1	1	yes	characteristic
78	C₁₃×#478	C₂²	1	2	yes	—
79	C₁₃×#478	C₂²	1	2	yes	complemented
80	C₁₃×#478	C₂²	1	2	yes	complemented
81	C₁₃×#478	C₂²	1	2	yes	complemented
82	C₁₃×#478	C₂²	1	2	yes	complemented
83	C₁₃×#478	C₂²	1	2	yes	complemented
84	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#478	C₂²	1	2	yes	complemented
86	C₁₃×#477	C₂²	1	2	yes	complemented
87	C₁₃×#476	C₂²	1	1	yes	characteristic
88	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#476	C₂²	1	2	yes	complemented
90	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#474	C₂²	1	1	yes	characteristic
92	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#469	C₂²	1	2	yes	complemented
95	C₁₃×#468	C₂²	1	2	yes	complemented
96	C₁₃×#466	C₂²	1	2	yes	complemented
97	C₁₃×#466	C₂²	1	2	yes	complemented
98	C₁₃×#465	C₂²	1	2	yes	complemented
99	C₁₃×#465	C₂²	1	2	yes	complemented
100	C₁₃×#463	C₂²	1	1	yes	characteristic
101	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#463	C₂²	1	2	yes	complemented
103	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#460	C₂²	1	2	yes	complemented
105	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#459	C₂²	1	2	yes	complemented
107	C₁₃×#450	C₂²	1	2	yes	—
108	C₁₃×#450	C₂²	1	1	yes	characteristic
109	C₁₃×#447	C₂²	1	2	yes	—
110	C₁₃×#447	C₂²	1	1	yes	characteristic
111	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#442	C₂²	1	2	yes	—
114	C₁₃×#442	C₂²	1	2	yes	complemented
115	C₁₃×#440	C₂²	1	2	yes	—
116	C₁₃×#440	C₂²	1	2	yes	complemented
117	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#435	C₂²	1	2	yes	complemented
122	C₁₃×#435	C₂²	1	2	yes	complemented
123	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
124	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#432	C₂²	1	2	yes	complemented
126	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#428	C₂²	1	2	yes	complemented
128	C₂×C₁₃×#107	C₂²	1	2	yes	complemented
129	C₂×C₁₃×#106	C₂²	1	2	yes	complemented
130	C₁₃×#423	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	complemented
132	C₁₃×#418	C₂²	1	2	yes	—
133	C₂×C₁₃×#102	C₂²	1	2	yes	—
134	C₂×C₁₃×#102	C₂²	1	2	yes	—
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	—	2	2	no	—
138	C₂×C₁₃×#41	—	2	1	no	—
139	C₂×C₁₃×#41	—	2	2	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	4	8	no	—
142	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
143	C₂²×Q₈×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	—	2	2	no	—
145	C₂²×D₄×C₁₃	—	2	1	no	—
146	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
147	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃	—	2	2	no	—
149	C₂³×C₄×C₁₃	—	2	1	no	—
150	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
157	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
158	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₃×#127	C₂³	1	1	yes	characteristic
165	C₁₃×#127	C₂³	1	2	yes	—
166	C₁₃×#126	—	2	2	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	1	no	—
170	C₁₃×#125	—	2	2	no	—
171	C₁₃×#125	—	2	2	no	—
172	C₁₃×#125	—	2	1	no	—
173	C₁₃×#125	—	2	2	no	—
174	C₁₃×#125	—	2	2	no	—
175	C₁₃×#125	C₂³	1	1	yes	characteristic
176	C₁₃×#125	C₂³	1	2	yes	—
177	C₁₃×#125	C₂³	1	2	yes	—
178	C₁₃×#125	C₂³	1	2	yes	—
179	C₁₃×#124	—	2	1	no	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	C₂³	1	1	yes	characteristic
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	1	no	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×#123	—	2	2	no	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	1	no	—
191	C₁₃×C₂²⋊Q₈	—	2	1	no	—
192	C₁₃×C₂²⋊Q₈	—	2	1	no	—
193	C₁₃×C₂²⋊Q₈	—	2	1	no	—
194	C₁₃×C₂²⋊Q₈	—	2	2	no	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	1	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	no	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	1	no	—
205	C₁₃×#121	—	2	1	no	—
206	C₁₃×#121	—	2	2	no	—
207	C₁₃×#121	—	2	1	no	—
208	C₁₃×#121	—	2	2	no	—
209	C₁₃×#121	C₂³	1	2	yes	—
210	C₁₃×#121	C₂³	1	1	yes	characteristic
211	C₁₃×#121	C₂³	1	2	yes	—
212	C₁₃×#121	C₂³	1	2	yes	—
213	C₁₃×#121	C₂³	1	2	yes	—
214	C₁₃×#120	—	2	2	no	—
215	C₁₃×#120	—	2	2	no	—
216	C₁₃×#120	—	2	2	no	—
217	C₄×Q₈×C₁₃	—	2	1	no	—
218	C₄×Q₈×C₁₃	—	2	1	no	—
219	C₄×Q₈×C₁₃	—	2	1	no	—
220	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₄×D₄×C₁₃	—	2	1	no	—
225	C₄×D₄×C₁₃	—	2	2	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	2	no	—
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	—	2	2	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
235	C₄×D₄×C₁₃	D₄	1	2	yes	—
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	C₂³	1	2	yes	—
240	C₄×D₄×C₁₃	C₂³	1	2	yes	—
241	C₄×D₄×C₁₃	C₂³	1	2	yes	—
242	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₃	C₂³	1	2	yes	—
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	2	yes	—
247	C₁₃×#117	—	2	2	no	—
248	C₁₃×#117	—	2	1	no	—
249	C₁₃×#117	—	2	2	no	—
250	C₁₃×#117	D₄	1	1	yes	characteristic
251	C₁₃×#117	D₄	1	2	yes	—
252	C₁₃×#117	C₂³	1	2	yes	—
253	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
254	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
255	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
259	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
261	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
262	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
263	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
264	C₁₃×#107	C₂³	1	1	yes	characteristic
265	C₁₃×#107	C₂³	1	2	yes	—
266	C₁₃×#107	C₂³	1	2	yes	—
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#107	C₂³	1	2	yes	—
269	C₁₃×#107	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	2	yes	—
271	C₁₃×#106	C₂³	1	1	yes	characteristic
272	C₁₃×#106	C₂³	1	2	yes	—
273	C₁₃×#106	C₂³	1	2	yes	—
274	C₁₃×#106	C₂³	1	2	yes	—
275	C₁₃×#106	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	1	yes	characteristic
277	C₁₃×#106	C₂³	1	2	yes	—
278	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
279	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#102	C₂³	1	1	yes	characteristic
289	C₁₃×#102	C₂³	1	1	yes	characteristic
290	C₁₃×#102	C₂³	1	2	yes	—
291	C₁₃×#102	C₂³	1	2	yes	—
292	C₁₃×#102	C₂³	1	2	yes	—
293	C₁₃×#102	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
306	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
307	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₁₃×#97	C₂³	1	2	yes	—
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	#62137	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
314	C₂⁴×C₁₃	—	2	1	no	—
315	C₂⁴×C₁₃	—	2	2	no	—
316	C₁₃×#41	—	2	4	no	—
317	C₁₃×#41	—	4	8	no	—
318	C₁₃×#41	—	4	4	no	—
319	C₁₃×#41	—	4	8	no	—
320	C₁₃×#41	—	4	4	no	—
321	C₁₃×#41	—	4	4	no	—
322	C₁₃×#41	—	4	4	no	—
323	C₂×Q₈×C₁₃	—	2	1	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	1	no	—
326	C₂×Q₈×C₁₃	—	2	1	no	—
327	C₂×Q₈×C₁₃	—	4	4	no	—
328	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
330	C₂×D₄×C₁₃	—	2	4	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	1	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	4	2	no	—
344	C₂×D₄×C₁₃	—	4	1	no	—
345	C₂×D₄×C₁₃	—	4	8	no	—
346	C₂×D₄×C₁₃	—	4	4	no	—
347	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
348	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
349	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
350	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₃	—	2	1	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	1	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	1	no	—
363	C₂²×C₄×C₁₃	—	2	2	no	—
364	C₂²×C₄×C₁₃	—	2	1	no	—
365	C₂²×C₄×C₁₃	—	2	2	no	—
366	C₂²×C₄×C₁₃	—	4	8	no	—
367	C₂²×C₄×C₁₃	—	4	4	no	—
368	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
369	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
370	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
371	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₁₃×SD₁₆	—	2	2	no	—
375	C₁₃×SD₁₆	—	4	1	no	—
376	C₁₃×SD₁₆	—	4	2	no	—
377	C₁₃×D₈	—	2	2	no	—
378	C₁₃×D₈	—	4	1	no	—
379	C₁₃×D₈	—	4	2	no	—
380	C₁₃×M₁₆	—	4	2	no	—
381	C₂×C₈×C₁₃	—	4	2	no	—
382	C₂×C₈×C₁₃	—	4	2	no	—
383	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
388	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	1	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	1	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	1	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	1	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	1	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
414	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	1	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	1	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	1	no	—
430	C₁₃×C₂²⋊C₄	—	2	1	no	—
431	C₁₃×C₂²⋊C₄	—	2	1	no	—
432	C₁₃×C₂²⋊C₄	—	2	1	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	2	no	—
438	C₁₃×C₂²⋊C₄	—	2	1	no	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₄²×C₁₃	—	2	2	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	1	no	—
445	C₄²×C₁₃	C₂×D₄	1	2	yes	—
446	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
448	C₄²×C₁₃	C₂×D₄	1	2	yes	—
449	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₄²×C₁₃	C₂⁴	1	2	yes	—
451	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
452	#3515	C₂×C₁₃	1	1	yes	characteristic, complemented
453	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3386	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3384	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3366	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3345	C₂×C₁₃	1	2	yes	complemented
459	#3343	C₂×C₁₃	1	2	yes	complemented
460	#3335	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3334	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3318	C₂×C₁₃	1	2	yes	complemented
463	#3310	C₂×C₁₃	1	2	yes	complemented
464	#3295	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3294	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3251	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3247	C₂×C₁₃	1	2	yes	complemented
468	#3234	C₂×C₁₃	1	2	yes	complemented
469	#3228	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3114	C₂×C₁₃	1	2	yes	complemented
471	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3077	C₂×C₁₃	1	1	yes	characteristic, complemented
473	C₂×#478	C₂×C₁₃	1	2	yes	complemented
474	#2990	C₂×C₁₃	1	1	yes	characteristic, complemented
475	C₂³×C₁₃	—	2	1	no	—
476	C₂³×C₁₃	—	2	1	no	—
477	C₂³×C₁₃	—	2	2	no	—
478	C₂³×C₁₃	—	2	1	no	—
479	C₂³×C₁₃	—	4	4	no	—
480	C₂³×C₁₃	—	4	2	no	—
481	C₂³×C₁₃	—	4	2	no	—
482	C₂³×C₁₃	—	4	4	no	—
483	C₂³×C₁₃	—	8	2	no	—
484	C₂³×C₁₃	—	8	1	no	—
485	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
486	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
487	Q₈×C₁₃	—	2	2	no	—
488	Q₈×C₁₃	—	2	1	no	—
489	Q₈×C₁₃	—	2	1	no	—
490	Q₈×C₁₃	—	4	4	no	—
491	Q₈×C₁₃	—	4	2	no	—
492	Q₈×C₁₃	—	4	2	no	—
493	Q₈×C₁₃	—	8	1	no	—
494	D₄×C₁₃	—	2	4	no	—
495	D₄×C₁₃	—	2	1	no	—
496	D₄×C₁₃	—	2	2	no	—
497	D₄×C₁₃	—	2	1	no	—
498	D₄×C₁₃	—	2	1	no	—
499	D₄×C₁₃	—	2	1	no	—
500	D₄×C₁₃	—	2	1	no	—
501	D₄×C₁₃	—	2	2	no	—
502	D₄×C₁₃	—	4	4	no	—
503	D₄×C₁₃	—	4	2	no	—
504	D₄×C₁₃	—	4	4	no	—
505	D₄×C₁₃	—	4	4	no	—
506	D₄×C₁₃	—	4	4	no	—
507	D₄×C₁₃	—	4	4	no	—
508	D₄×C₁₃	—	4	4	no	—
509	D₄×C₁₃	—	4	2	no	—
510	D₄×C₁₃	—	8	2	no	—
511	D₄×C₁₃	—	8	1	no	—
512	D₄×C₁₃	—	8	1	no	—
513	D₄×C₁₃	AGL(1,ℤ/8)	1	4	yes	—
514	D₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
515	C₂×C₄×C₁₃	—	2	4	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	2	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	2	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	2	1	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	4	2	no	—
530	C₂×C₄×C₁₃	—	4	1	no	—
531	C₂×C₄×C₁₃	—	4	2	no	—
532	C₂×C₄×C₁₃	—	4	4	no	—
533	C₂×C₄×C₁₃	—	4	4	no	—
534	C₂×C₄×C₁₃	—	4	2	no	—
535	C₂×C₄×C₁₃	—	4	4	no	—
536	C₂×C₄×C₁₃	—	4	2	no	—
537	C₂×C₄×C₁₃	—	4	4	no	—
538	C₂×C₄×C₁₃	—	4	4	no	—
539	C₂×C₄×C₁₃	—	4	2	no	—
540	C₂×C₄×C₁₃	—	4	2	no	—
541	C₂×C₄×C₁₃	—	4	2	no	—
542	C₂×C₄×C₁₃	—	8	2	no	—
543	C₂×C₄×C₁₃	—	8	2	no	—
544	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
546	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
547	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
549	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
550	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
553	C₈×C₁₃	—	2	1	no	—
554	C₈×C₁₃	—	2	1	no	—
555	C₈×C₁₃	—	2	1	no	—
556	C₈×C₁₃	—	2	1	no	—
557	C₈×C₁₃	—	2	2	no	—
558	C₈×C₁₃	—	2	2	no	—
559	C₂²×#41	—	2	1	no	—
560	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
561	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
562	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
563	#553	C₂²×C₁₃	1	2	yes	complemented
564	#552	—	2	2	no	—
565	#552	—	2	1	no	—
566	#552	C₂²×C₁₃	1	2	yes	complemented
567	#550	C₂²×C₁₃	1	1	yes	characteristic
568	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
569	#548	—	2	1	no	—
570	#547	—	2	1	no	—
571	#547	C₂²×C₁₃	1	1	yes	characteristic
572	#547	C₂²×C₁₃	1	2	yes	—
573	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
574	#546	—	2	1	no	—
575	#546	—	2	2	no	—
576	D₄²	C₂²×C₁₃	1	1	yes	characteristic
577	D₄²	C₂²×C₁₃	1	2	yes	—
578	#541	—	2	1	no	—
579	#539	—	2	2	no	—
580	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
581	#532	C₂²×C₁₃	1	1	yes	characteristic
582	#532	C₂²×C₁₃	1	2	yes	—
583	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
584	#529	C₂²×C₁₃	1	2	yes	complemented
585	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
586	#525	—	2	1	no	—
587	#525	—	2	2	no	—
588	#520	—	2	1	no	—
589	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
590	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
591	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
592	#501	C₂²×C₁₃	1	2	yes	complemented
593	#501	C₂²×C₁₃	1	2	yes	complemented
594	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	#490	C₂²×C₁₃	1	2	yes	complemented
597	#490	C₂²×C₁₃	1	2	yes	complemented
598	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
599	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	#483	C₂²×C₁₃	1	2	yes	complemented
602	#482	C₂²×C₁₃	1	2	yes	complemented
603	#482	C₂²×C₁₃	1	2	yes	complemented
604	#481	C₂²×C₁₃	1	2	yes	complemented
605	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
606	#481	C₂²×C₁₃	1	2	yes	complemented
607	#480	C₂²×C₁₃	1	2	yes	complemented
608	#480	C₂²×C₁₃	1	2	yes	complemented
609	#480	C₂²×C₁₃	1	2	yes	complemented
610	#478	C₂²×C₁₃	1	1	yes	characteristic
611	#478	C₂²×C₁₃	1	2	yes	—
612	#478	C₂²×C₁₃	1	2	yes	—
613	#478	C₂²×C₁₃	1	2	yes	—
614	#478	C₂²×C₁₃	1	2	yes	complemented
615	#478	C₂²×C₁₃	1	2	yes	complemented
616	#478	C₂²×C₁₃	1	2	yes	complemented
617	#478	C₂²×C₁₃	1	2	yes	complemented
618	#478	C₂²×C₁₃	1	2	yes	complemented
619	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
620	#478	C₂²×C₁₃	1	2	yes	complemented
621	#477	C₂²×C₁₃	1	2	yes	complemented
622	#476	C₂²×C₁₃	1	1	yes	characteristic
623	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
624	#476	C₂²×C₁₃	1	2	yes	complemented
625	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
626	#474	C₂²×C₁₃	1	1	yes	characteristic
627	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
628	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
629	#469	C₂²×C₁₃	1	2	yes	complemented
630	#468	C₂²×C₁₃	1	2	yes	complemented
631	#466	C₂²×C₁₃	1	2	yes	complemented
632	#466	C₂²×C₁₃	1	2	yes	complemented
633	#465	C₂²×C₁₃	1	2	yes	complemented
634	#465	C₂²×C₁₃	1	2	yes	complemented
635	#463	C₂²×C₁₃	1	1	yes	characteristic
636	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#463	C₂²×C₁₃	1	2	yes	complemented
638	#460	C₂²×C₁₃	1	2	yes	complemented
639	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	#459	C₂²×C₁₃	1	2	yes	complemented
641	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#450	C₂²×C₁₃	1	1	yes	characteristic
643	#450	C₂²×C₁₃	1	2	yes	—
644	#447	C₂²×C₁₃	1	1	yes	characteristic
645	#447	C₂²×C₁₃	1	2	yes	—
646	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#442	C₂²×C₁₃	1	2	yes	—
649	#442	C₂²×C₁₃	1	2	yes	complemented
650	#440	C₂²×C₁₃	1	2	yes	—
651	#440	C₂²×C₁₃	1	2	yes	complemented
652	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
653	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
655	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#435	C₂²×C₁₃	1	2	yes	complemented
657	#435	C₂²×C₁₃	1	2	yes	complemented
658	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	#432	C₂²×C₁₃	1	2	yes	complemented
661	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
662	#428	C₂²×C₁₃	1	2	yes	complemented
663	C₂×#107	C₂²×C₁₃	1	2	yes	complemented
664	C₂×#106	C₂²×C₁₃	1	2	yes	complemented
665	#423	C₂²×C₁₃	1	1	yes	characteristic, complemented
666	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	complemented
667	#418	C₂²×C₁₃	1	2	yes	—
668	C₂×#102	C₂²×C₁₃	1	2	yes	—
669	C₂×#102	C₂²×C₁₃	1	2	yes	—
670	C₂²×C₁₃	—	2	2	no	—
671	C₂²×C₁₃	—	2	2	no	—
672	C₂²×C₁₃	—	2	1	no	—
673	C₂²×C₁₃	—	2	1	no	—
674	C₂²×C₁₃	—	2	2	no	—
675	C₂²×C₁₃	—	2	1	no	—
676	C₂²×C₁₃	—	4	1	no	—
677	C₂²×C₁₃	—	4	1	no	—
678	C₂²×C₁₃	—	4	1	no	—
679	C₂²×C₁₃	—	4	2	no	—
680	C₂²×C₁₃	—	4	1	no	—
681	C₂²×C₁₃	—	4	2	no	—
682	C₂²×C₁₃	—	4	1	no	—
683	C₂²×C₁₃	—	4	1	no	—
684	C₂²×C₁₃	—	4	2	no	—
685	C₂²×C₁₃	—	4	1	no	—
686	C₂²×C₁₃	—	4	1	no	—
687	C₂²×C₁₃	—	8	8	no	—
688	C₂²×C₁₃	—	8	4	no	—
689	C₂²×C₁₃	C₂×AGL(1,ℤ/8)	1	4	yes	—
690	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
691	C₄×C₁₃	—	2	1	no	—
692	C₄×C₁₃	—	2	2	no	—
693	C₄×C₁₃	—	2	1	no	—
694	C₄×C₁₃	—	2	2	no	—
695	C₄×C₁₃	—	2	1	no	—
696	C₄×C₁₃	—	2	1	no	—
697	C₄×C₁₃	—	2	2	no	—
698	C₄×C₁₃	—	4	1	no	—
699	C₄×C₁₃	—	4	2	no	—
700	C₄×C₁₃	—	4	1	no	—
701	C₄×C₁₃	—	4	1	no	—
702	C₄×C₁₃	—	4	1	no	—
703	C₄×C₁₃	—	4	2	no	—
704	C₄×C₁₃	—	4	1	no	—
705	C₄×C₁₃	—	4	2	no	—
706	C₄×C₁₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
707	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
708	C₄×C₁₃	#585	1	1	yes	characteristic
709	C₂×#41	—	2	1	no	—
710	C₂×#41	—	2	1	no	—
711	C₂×#41	—	2	2	no	—
712	C₂×#41	—	2	1	no	—
713	C₂×#41	—	2	2	no	—
714	C₂×#41	—	2	1	no	—
715	C₂×#41	—	4	8	no	—
716	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
717	C₂²×Q₈	—	2	1	no	—
718	C₂²×D₄	—	2	2	no	—
719	C₂²×D₄	—	2	1	no	—
720	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
721	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
722	C₂³×C₄	—	2	2	no	—
723	C₂³×C₄	—	2	1	no	—
724	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
725	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
726	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
727	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
728	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
729	C₂×D₈	C₂³×C₁₃	1	2	yes	—
730	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
731	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
732	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
733	C₄⋊Q₈	—	2	1	no	—
734	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
735	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
736	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
737	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
738	#127	C₂³×C₁₃	1	1	yes	characteristic
739	#127	C₂³×C₁₃	1	2	yes	—
740	#126	—	2	2	no	—
741	#126	—	2	2	no	—
742	#126	—	2	2	no	—
743	#126	—	2	1	no	—
744	#125	—	2	2	no	—
745	#125	—	2	2	no	—
746	#125	—	2	1	no	—
747	#125	—	2	2	no	—
748	#125	—	2	2	no	—
749	#125	C₂³×C₁₃	1	1	yes	characteristic
750	#125	C₂³×C₁₃	1	2	yes	—
751	#125	C₂³×C₁₃	1	2	yes	—
752	#125	C₂³×C₁₃	1	2	yes	—
753	#124	—	2	1	no	—
754	#124	—	2	2	no	—
755	#124	C₂³×C₁₃	1	1	yes	characteristic
756	#123	—	2	2	no	—
757	#123	—	2	1	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	—	2	2	no	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	—	2	1	no	—
766	C₂²⋊Q₈	—	2	1	no	—
767	C₂²⋊Q₈	—	2	1	no	—
768	C₂²⋊Q₈	—	2	2	no	—
769	C₂²⋊Q₈	—	2	1	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	—	2	1	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
775	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
776	#121	—	2	2	no	—
777	#121	—	2	2	no	—
778	#121	—	2	1	no	—
779	#121	—	2	1	no	—
780	#121	—	2	2	no	—
781	#121	—	2	1	no	—
782	#121	—	2	2	no	—
783	#121	C₂³×C₁₃	1	2	yes	—
784	#121	C₂³×C₁₃	1	1	yes	characteristic
785	#121	C₂³×C₁₃	1	2	yes	—
786	#121	C₂³×C₁₃	1	2	yes	—
787	#121	C₂³×C₁₃	1	2	yes	—
788	#120	—	2	2	no	—
789	#120	—	2	2	no	—
790	#120	—	2	2	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
795	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
796	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	2	no	—
800	C₄×D₄	—	2	1	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
809	C₄×D₄	D₄×C₁₃	1	2	yes	—
810	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
811	C₄×D₄	C₂³×C₁₃	1	2	yes	—
812	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
813	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
814	C₄×D₄	C₂³×C₁₃	1	2	yes	—
815	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
816	C₄×D₄	C₂³×C₁₃	1	2	yes	—
817	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
818	C₄×D₄	C₂³×C₁₃	1	2	yes	—
819	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
820	C₄×D₄	C₂³×C₁₃	1	2	yes	—
821	#117	—	2	2	no	—
822	#117	—	2	1	no	—
823	#117	—	2	2	no	—
824	#117	D₄×C₁₃	1	1	yes	characteristic
825	#117	D₄×C₁₃	1	2	yes	—
826	#117	C₂³×C₁₃	1	2	yes	—
827	C₂×C₄⋊C₄	—	2	2	no	—
828	C₂×C₄⋊C₄	—	2	2	no	—
829	C₂×C₄⋊C₄	—	2	1	no	—
830	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
831	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
833	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
834	C₂×C₂²⋊C₄	—	2	2	no	—
835	C₂×C₂²⋊C₄	—	2	1	no	—
836	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
837	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
838	#107	C₂³×C₁₃	1	1	yes	characteristic
839	#107	C₂³×C₁₃	1	2	yes	—
840	#107	C₂³×C₁₃	1	2	yes	—
841	#107	C₂³×C₁₃	1	2	yes	—
842	#107	C₂³×C₁₃	1	2	yes	—
843	#107	C₂³×C₁₃	1	1	yes	characteristic
844	#107	C₂³×C₁₃	1	2	yes	—
845	#106	C₂³×C₁₃	1	1	yes	characteristic
846	#106	C₂³×C₁₃	1	2	yes	—
847	#106	C₂³×C₁₃	1	2	yes	—
848	#106	C₂³×C₁₃	1	2	yes	—
849	#106	C₂³×C₁₃	1	2	yes	—
850	#106	C₂³×C₁₃	1	1	yes	characteristic
851	#106	C₂³×C₁₃	1	2	yes	—
852	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
853	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
854	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
855	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
856	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
857	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
858	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
859	#103	C₂³×C₁₃	1	1	yes	characteristic
860	#103	C₂³×C₁₃	1	1	yes	characteristic
861	#103	C₂³×C₁₃	1	2	yes	—
862	#102	C₂³×C₁₃	1	1	yes	characteristic
863	#102	C₂³×C₁₃	1	1	yes	characteristic
864	#102	C₂³×C₁₃	1	2	yes	—
865	#102	C₂³×C₁₃	1	2	yes	—
866	#102	C₂³×C₁₃	1	2	yes	—
867	#102	C₂³×C₁₃	1	2	yes	—
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	1	yes	characteristic
873	#102	C₂³×C₁₃	1	1	yes	characteristic
874	#102	C₂³×C₁₃	1	1	yes	characteristic
875	#102	C₂³×C₁₃	1	1	yes	characteristic
876	#102	C₂³×C₁₃	1	2	yes	—
877	#102	C₂³×C₁₃	1	2	yes	—
878	#102	C₂³×C₁₃	1	2	yes	—
879	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
880	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
881	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
882	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
883	#97	C₂³×C₁₃	1	2	yes	—
884	#97	C₂³×C₁₃	1	2	yes	—
885	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
886	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
887	C₂×C₁₃	—	2	4	no	—
888	C₂×C₁₃	—	4	1	no	—
889	C₂×C₁₃	—	4	2	no	—
890	C₂×C₁₃	—	8	1	no	—
891	C₂×C₁₃	—	8	2	no	—
892	C₂×C₁₃	—	8	1	no	—
893	C₂×C₁₃	#3489	1	1	yes	characteristic
894	C₂×C₁₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
895	C₂×C₁₃	#3584	1	1	yes	characteristic
896	C₂⁴	—	2	1	no	—
897	C₂⁴	—	2	2	no	—
898	#41	—	2	4	no	—
899	#41	—	4	8	no	—
900	#41	—	4	4	no	—
901	#41	—	4	8	no	—
902	#41	—	4	4	no	—
903	#41	—	4	4	no	—
904	#41	—	4	4	no	—
905	C₂×Q₈	—	2	1	no	—
906	C₂×Q₈	—	2	2	no	—
907	C₂×Q₈	—	2	1	no	—
908	C₂×Q₈	—	2	1	no	—
909	C₂×Q₈	—	4	4	no	—
910	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
911	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
912	C₂×D₄	—	2	4	no	—
913	C₂×D₄	—	2	2	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	1	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	1	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	1	no	—
925	C₂×D₄	—	4	2	no	—
926	C₂×D₄	—	4	1	no	—
927	C₂×D₄	—	4	8	no	—
928	C₂×D₄	—	4	4	no	—
929	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
930	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
931	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
932	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
933	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
934	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	1	no	—
941	C₂²×C₄	—	2	2	no	—
942	C₂²×C₄	—	2	1	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	—	2	1	no	—
945	C₂²×C₄	—	2	2	no	—
946	C₂²×C₄	—	2	1	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	4	8	no	—
949	C₂²×C₄	—	4	4	no	—
950	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
951	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
952	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
953	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
954	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
955	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
956	SD₁₆	—	2	2	no	—
957	SD₁₆	—	4	1	no	—
958	SD₁₆	—	4	2	no	—
959	D₈	—	2	2	no	—
960	D₈	—	4	1	no	—
961	D₈	—	4	2	no	—
962	M₁₆	—	4	2	no	—
963	C₂×C₈	—	4	2	no	—
964	C₂×C₈	—	4	2	no	—
965	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
967	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
968	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
969	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
970	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
992	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
993	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
994	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
995	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
996	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
997	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
999	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1000	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1001	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	1	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	1	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	1	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	1	no	—
1012	C₂²⋊C₄	—	2	1	no	—
1013	C₂²⋊C₄	—	2	1	no	—
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1022	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1023	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1024	C₄²	—	2	2	no	—
1025	C₄²	—	2	2	no	—
1026	C₄²	—	2	1	no	—
1027	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1028	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1029	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1030	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1031	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1032	C₄²	C₂⁴×C₁₃	1	2	yes	—
1033	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1034	C₁₃	#62137	1	1	yes	characteristic, direct product factor, Sylow
1035	C₂³	—	2	1	no	—
1036	C₂³	—	2	1	no	—
1037	C₂³	—	2	2	no	—
1038	C₂³	—	2	1	no	—
1039	C₂³	—	4	4	no	—
1040	C₂³	—	4	2	no	—
1041	C₂³	—	4	2	no	—
1042	C₂³	—	4	4	no	—
1043	C₂³	—	8	2	no	—
1044	C₂³	—	8	1	no	—
1045	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1046	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1047	Q₈	—	2	2	no	—
1048	Q₈	—	2	1	no	—
1049	Q₈	—	2	1	no	—
1050	Q₈	—	4	4	no	—
1051	Q₈	—	4	2	no	—
1052	Q₈	—	4	2	no	—
1053	Q₈	—	8	1	no	—
1054	D₄	—	2	4	no	—
1055	D₄	—	2	1	no	—
1056	D₄	—	2	2	no	—
1057	D₄	—	2	1	no	—
1058	D₄	—	2	1	no	—
1059	D₄	—	2	1	no	—
1060	D₄	—	2	1	no	—
1061	D₄	—	2	2	no	—
1062	D₄	—	4	4	no	—
1063	D₄	—	4	2	no	—
1064	D₄	—	4	4	no	—
1065	D₄	—	4	4	no	—
1066	D₄	—	4	4	no	—
1067	D₄	—	4	4	no	—
1068	D₄	—	4	4	no	—
1069	D₄	—	4	2	no	—
1070	D₄	—	8	2	no	—
1071	D₄	—	8	1	no	—
1072	D₄	—	8	1	no	—
1073	D₄	C₁₃×AGL(1,ℤ/8)	1	4	yes	—
1074	D₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1075	C₂×C₄	—	2	4	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	4	2	no	—
1090	C₂×C₄	—	4	1	no	—
1091	C₂×C₄	—	4	2	no	—
1092	C₂×C₄	—	4	4	no	—
1093	C₂×C₄	—	4	4	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	—	4	4	no	—
1096	C₂×C₄	—	4	2	no	—
1097	C₂×C₄	—	4	4	no	—
1098	C₂×C₄	—	4	4	no	—
1099	C₂×C₄	—	4	2	no	—
1100	C₂×C₄	—	4	2	no	—
1101	C₂×C₄	—	4	2	no	—
1102	C₂×C₄	—	8	2	no	—
1103	C₂×C₄	—	8	2	no	—
1104	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1105	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1106	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1107	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1108	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1109	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1110	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1111	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1112	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1113	C₈	—	2	1	no	—
1114	C₈	—	2	1	no	—
1115	C₈	—	2	1	no	—
1116	C₈	—	2	1	no	—
1117	C₈	—	2	2	no	—
1118	C₈	—	2	2	no	—
1119	C₂²	—	2	2	no	—
1120	C₂²	—	2	2	no	—
1121	C₂²	—	2	1	no	—
1122	C₂²	—	2	1	no	—
1123	C₂²	—	2	1	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	4	1	no	—
1129	C₂²	—	4	1	no	—
1130	C₂²	—	4	1	no	—
1131	C₂²	—	4	2	no	—
1132	C₂²	—	4	1	no	—
1133	C₂²	—	4	2	no	—
1134	C₂²	—	4	1	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	8	8	no	—
1137	C₂²	—	8	4	no	—
1138	C₂²	C₂×C₁₃×AGL(1,ℤ/8)	1	4	yes	—
1139	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1140	C₄	—	2	1	no	—
1141	C₄	—	2	2	no	—
1142	C₄	—	2	1	no	—
1143	C₄	—	2	2	no	—
1144	C₄	—	2	1	no	—
1145	C₄	—	2	2	no	—
1146	C₄	—	2	1	no	—
1147	C₄	—	4	1	no	—
1148	C₄	—	4	1	no	—
1149	C₄	—	4	2	no	—
1150	C₄	—	4	1	no	—
1151	C₄	—	4	2	no	—
1152	C₄	—	4	1	no	—
1153	C₄	—	4	2	no	—
1154	C₄	—	4	1	no	—
1155	C₄	C₂×C₁₃×AGL(1,ℤ/8)	1	2	yes	—
1156	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1157	C₄	C₁₃×#585	1	1	yes	characteristic
1158	C₂	—	2	4	no	—
1159	C₂	—	4	1	no	—
1160	C₂	—	4	2	no	—
1161	C₂	—	8	2	no	—
1162	C₂	—	8	1	no	—
1163	C₂	—	8	1	no	—
1164	C₂	C₁₃×#3489	1	1	yes	characteristic
1165	C₂	C₂²×C₁₃×AGL(1,ℤ/8)	1	1	yes	characteristic
1166	C₂	C₁₃×#3584	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 ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3515	C₂	semidirect
2. D₄×C₁₃×#41	C₂	semidirect
3. C₁₃×#3386	C₂	semidirect
4. C₁₃×#3384	C₂	semidirect
5. C₁₃×#3368	C₂	semidirect
6. C₁₃×#3366	C₂	semidirect
7. C₁₃×#3345	C₂	semidirect
8. C₁₃×#3343	C₂	semidirect
9. C₁₃×#3335	C₂	semidirect
10. C₁₃×#3334	C₂	semidirect
11. C₁₃×#3318	C₂	semidirect
12. C₁₃×#3310	C₂	semidirect
13. C₁₃×#3295	C₂	semidirect
14. C₁₃×#3294	C₂	semidirect
15. C₁₃×#3251	C₂	semidirect
16. C₁₃×#3247	C₂	semidirect
17. C₁₃×#3234	C₂	semidirect
18. C₁₃×#3228	C₂	semidirect
19. C₁₃×#3114	C₂	semidirect
20. C₁₃×#3105	C₂	semidirect
21. C₁₃×#3077	C₂	semidirect
22. C₂×C₁₃×#478	C₂	semidirect
23. C₁₃×#2990	C₂	semidirect
25. C₁₃×#557	C₂²	semidirect
26. C₁₃×#554	C₂²	semidirect
27. C₁₃×#554	C₂²	semidirect
28. C₁₃×#553	C₂²	semidirect
31. C₁₃×#552	C₂²	semidirect
38. C₁₃×#547	C₂²	semidirect
45. C₁₃×#533	C₂²	semidirect
48. C₁₃×#529	C₂²	semidirect
49. C₁₃×#529	C₂²	semidirect
50. C₂×C₁₃×#125	C₂²	semidirect
57. C₁₃×#501	C₂²	semidirect
58. C₁₃×#501	C₂²	semidirect
59. C₁₃×#500	C₂²	semidirect
60. C₁₃×#498	C₂²	semidirect
61. C₁₃×#490	C₂²	semidirect
62. C₁₃×#490	C₂²	semidirect
63. C₁₃×#486	C₂²	semidirect
64. C₁₃×#486	C₂²	semidirect
65. C₁₃×#484	C₂²	semidirect
66. C₁₃×#483	C₂²	semidirect
67. C₁₃×#482	C₂²	semidirect
68. C₁₃×#482	C₂²	semidirect
69. C₁₃×#481	C₂²	semidirect
70. C₁₃×#481	C₂²	semidirect
71. C₁₃×#481	C₂²	semidirect
72. C₁₃×#480	C₂²	semidirect
73. C₁₃×#480	C₂²	semidirect
74. C₁₃×#480	C₂²	semidirect
79. C₁₃×#478	C₂²	semidirect
80. C₁₃×#478	C₂²	semidirect
81. C₁₃×#478	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
88. C₁₃×#476	C₂²	semidirect
89. C₁₃×#476	C₂²	semidirect
90. C₁₃×#475	C₂²	semidirect
92. C₁₃×#474	C₂²	semidirect
93. C₁₃×#474	C₂²	semidirect
94. C₁₃×#469	C₂²	semidirect
95. C₁₃×#468	C₂²	semidirect
96. C₁₃×#466	C₂²	semidirect
97. C₁₃×#466	C₂²	semidirect
98. C₁₃×#465	C₂²	semidirect
99. C₁₃×#465	C₂²	semidirect
101. C₁₃×#463	C₂²	semidirect
102. C₁₃×#463	C₂²	semidirect
103. C₁₃×#460	C₂²	semidirect
104. C₁₃×#460	C₂²	semidirect
105. C₁₃×#459	C₂²	semidirect
106. C₁₃×#459	C₂²	semidirect
111. C₁₃×#446	C₂²	semidirect
112. C₁₃×#446	C₂²	semidirect
114. C₁₃×#442	C₂²	semidirect
116. C₁₃×#440	C₂²	semidirect
118. C₄×C₁₃×SD₁₆	C₂²	semidirect
120. C₄×C₁₃×D₈	C₂²	semidirect
121. C₁₃×#435	C₂²	semidirect
122. C₁₃×#435	C₂²	semidirect
123. C₈×D₄×C₁₃	C₂²	semidirect
124. C₈×D₄×C₁₃	C₂²	semidirect
125. C₁₃×#432	C₂²	semidirect
126. C₁₃×#431	C₂²	semidirect
127. C₁₃×#428	C₂²	semidirect
128. C₂×C₁₃×#107	C₂²	semidirect
129. C₂×C₁₃×#106	C₂²	semidirect
130. C₁₃×#423	C₂²	semidirect
131. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
313. #62137	C₁₃	direct (N × H)
452. #3515	C₂×C₁₃	semidirect
453. D₄×#41	C₂×C₁₃	semidirect
454. #3386	C₂×C₁₃	semidirect
455. #3384	C₂×C₁₃	semidirect
456. #3368	C₂×C₁₃	semidirect
457. #3366	C₂×C₁₃	semidirect
458. #3345	C₂×C₁₃	semidirect
459. #3343	C₂×C₁₃	semidirect
460. #3335	C₂×C₁₃	semidirect
461. #3334	C₂×C₁₃	semidirect
462. #3318	C₂×C₁₃	semidirect
463. #3310	C₂×C₁₃	semidirect
464. #3295	C₂×C₁₃	semidirect
465. #3294	C₂×C₁₃	semidirect
466. #3251	C₂×C₁₃	semidirect
467. #3247	C₂×C₁₃	semidirect
468. #3234	C₂×C₁₃	semidirect
469. #3228	C₂×C₁₃	semidirect
470. #3114	C₂×C₁₃	semidirect
471. #3105	C₂×C₁₃	semidirect
472. #3077	C₂×C₁₃	semidirect
473. C₂×#478	C₂×C₁₃	semidirect
474. #2990	C₂×C₁₃	semidirect
560. #557	C₂²×C₁₃	semidirect
561. #554	C₂²×C₁₃	semidirect
562. #554	C₂²×C₁₃	semidirect
563. #553	C₂²×C₁₃	semidirect
566. #552	C₂²×C₁₃	semidirect
573. #547	C₂²×C₁₃	semidirect
580. #533	C₂²×C₁₃	semidirect
583. #529	C₂²×C₁₃	semidirect
584. #529	C₂²×C₁₃	semidirect
585. C₂×#125	C₂²×C₁₃	semidirect
592. #501	C₂²×C₁₃	semidirect
593. #501	C₂²×C₁₃	semidirect
594. #500	C₂²×C₁₃	semidirect
595. #498	C₂²×C₁₃	semidirect
596. #490	C₂²×C₁₃	semidirect
597. #490	C₂²×C₁₃	semidirect
598. #486	C₂²×C₁₃	semidirect
599. #486	C₂²×C₁₃	semidirect
600. #484	C₂²×C₁₃	semidirect
601. #483	C₂²×C₁₃	semidirect
602. #482	C₂²×C₁₃	semidirect
603. #482	C₂²×C₁₃	semidirect
604. #481	C₂²×C₁₃	semidirect
605. #481	C₂²×C₁₃	semidirect
606. #481	C₂²×C₁₃	semidirect
607. #480	C₂²×C₁₃	semidirect
608. #480	C₂²×C₁₃	semidirect
609. #480	C₂²×C₁₃	semidirect
614. #478	C₂²×C₁₃	semidirect
615. #478	C₂²×C₁₃	semidirect
616. #478	C₂²×C₁₃	semidirect
617. #478	C₂²×C₁₃	semidirect
618. #478	C₂²×C₁₃	semidirect
619. #478	C₂²×C₁₃	semidirect
620. #478	C₂²×C₁₃	semidirect
621. #477	C₂²×C₁₃	semidirect
623. #476	C₂²×C₁₃	semidirect
624. #476	C₂²×C₁₃	semidirect
625. #475	C₂²×C₁₃	semidirect
627. #474	C₂²×C₁₃	semidirect
628. #474	C₂²×C₁₃	semidirect
629. #469	C₂²×C₁₃	semidirect
630. #468	C₂²×C₁₃	semidirect
631. #466	C₂²×C₁₃	semidirect
632. #466	C₂²×C₁₃	semidirect
633. #465	C₂²×C₁₃	semidirect
634. #465	C₂²×C₁₃	semidirect
636. #463	C₂²×C₁₃	semidirect
637. #463	C₂²×C₁₃	semidirect
638. #460	C₂²×C₁₃	semidirect
639. #460	C₂²×C₁₃	semidirect
640. #459	C₂²×C₁₃	semidirect
641. #459	C₂²×C₁₃	semidirect
646. #446	C₂²×C₁₃	semidirect
647. #446	C₂²×C₁₃	semidirect
649. #442	C₂²×C₁₃	semidirect
651. #440	C₂²×C₁₃	semidirect
653. C₄×SD₁₆	C₂²×C₁₃	semidirect
655. C₄×D₈	C₂²×C₁₃	semidirect
656. #435	C₂²×C₁₃	semidirect
657. #435	C₂²×C₁₃	semidirect
658. C₈×D₄	C₂²×C₁₃	semidirect
659. C₈×D₄	C₂²×C₁₃	semidirect
660. #432	C₂²×C₁₃	semidirect
661. #431	C₂²×C₁₃	semidirect
662. #428	C₂²×C₁₃	semidirect
663. C₂×#107	C₂²×C₁₃	semidirect
664. C₂×#106	C₂²×C₁₃	semidirect
665. #423	C₂²×C₁₃	semidirect
666. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1034. C₁₃	#62137	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×#3515	2
D₄×C₁₃×#41	2
C₁₃×#3386	2
C₁₃×#3384	2
C₁₃×#3368	2
C₁₃×#3366	2
C₁₃×#3345	2
C₁₃×#3343	2
C₁₃×#3335	2
C₁₃×#3334	2
C₁₃×#3318	2
C₁₃×#3310	2
C₁₃×#3295	2
C₁₃×#3294	2
C₁₃×#3251	2
C₁₃×#3247	2
C₁₃×#3234	2
C₁₃×#3228	2
C₁₃×#3114	2
C₁₃×#3105	2
C₁₃×#3077	2
C₂×C₁₃×#478	2
C₁₃×#2990	2
#62137	13

Subgroups — C13×#62137 #15748476

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62137 #15748476