Subgroups — C₁₃×#62578 #15748917

Order 3328.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1272 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	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3317	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3314	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3309	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3306	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3297	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3296	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3236	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3235	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3234	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3217	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3181	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3180	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3142	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3135	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#490	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2970	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#559	—	2	1	no	—
25	C₁₃×#559	C₂²	1	2	yes	—
26	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#554	C₂²	1	1	yes	characteristic
28	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#553	C₂²	1	1	yes	characteristic
30	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#552	—	2	1	no	—
32	C₁₃×#552	—	2	1	no	—
33	C₁₃×#552	—	2	1	no	—
34	C₁₃×#552	C₂²	1	1	yes	characteristic
35	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#550	—	2	1	no	—
37	C₁₃×#550	C₂²	1	2	yes	—
38	C₁₃×#547	—	2	1	no	—
39	C₁₃×#547	C₂²	1	1	yes	characteristic
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	—	2	1	no	—
42	C₁₃×#546	C₂²	1	2	yes	—
43	C₁₃×#546	C₂²	1	2	yes	—
44	C₁₃×#541	—	2	1	no	—
45	C₁₃×#540	—	2	1	no	—
46	C₁₃×#540	—	2	1	no	—
47	C₁₃×#539	—	2	1	no	—
48	C₁₃×#539	—	2	1	no	—
49	C₁₃×#535	—	2	1	no	—
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#532	C₂²	1	1	yes	characteristic
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
60	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#520	—	2	1	no	—
63	C₁₃×#518	—	2	1	no	—
64	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#496	C₂²	1	1	yes	characteristic
70	C₁₃×#496	C₂²	1	1	yes	characteristic
71	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#490	C₂²	1	2	yes	—
75	C₁₃×#490	C₂²	1	2	yes	—
76	C₁₃×#490	C₂²	1	1	yes	characteristic
77	C₁₃×#490	C₂²	1	1	yes	characteristic
78	C₁₃×#490	C₂²	1	1	yes	characteristic
79	C₁₃×#490	C₂²	1	1	yes	characteristic
80	C₁₃×#490	C₂²	1	1	yes	characteristic
81	C₁₃×#490	C₂²	1	1	yes	characteristic
82	C₁₃×#489	C₂²	1	2	yes	complemented
83	C₁₃×#489	C₂²	1	2	yes	complemented
84	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#488	C₂²	1	2	yes	complemented
86	C₁₃×#488	C₂²	1	2	yes	complemented
87	C₁₃×#484	C₂²	1	2	yes	—
88	C₁₃×#483	C₂²	1	2	yes	—
89	C₁₃×#482	C₂²	1	2	yes	complemented
90	C₁₃×#482	C₂²	1	2	yes	complemented
91	C₁₃×#481	C₂²	1	2	yes	complemented
92	C₁₃×#480	C₂²	1	2	yes	complemented
93	C₁₃×#479	C₂²	1	2	yes	complemented
94	C₁₃×#479	C₂²	1	2	yes	complemented
95	C₁₃×#478	C₂²	1	2	yes	complemented
96	C₁₃×#478	C₂²	1	2	yes	complemented
97	C₁₃×#476	C₂²	1	2	yes	complemented
98	C₁₃×#474	C₂²	1	2	yes	complemented
99	C₁₃×#469	C₂²	1	2	yes	complemented
100	C₁₃×#468	C₂²	1	2	yes	complemented
101	C₁₃×#467	C₂²	1	2	yes	—
102	C₁₃×#466	C₂²	1	2	yes	complemented
103	C₁₃×#465	C₂²	1	2	yes	—
104	C₁₃×#465	C₂²	1	2	yes	complemented
105	C₁₃×#464	C₂²	1	2	yes	complemented
106	C₁₃×#464	C₂²	1	2	yes	complemented
107	C₁₃×#463	C₂²	1	2	yes	complemented
108	C₁₃×#463	C₂²	1	2	yes	complemented
109	C₁₃×#460	C₂²	1	2	yes	—
110	C₁₃×#459	C₂²	1	2	yes	—
111	C₁₃×#452	C₂²	1	2	yes	complemented
112	C₁₃×#452	C₂²	1	2	yes	complemented
113	C₁₃×#450	C₂²	1	2	yes	—
114	C₁₃×#449	C₂²	1	2	yes	complemented
115	C₁₃×#449	C₂²	1	2	yes	complemented
116	C₁₃×#447	C₂²	1	2	yes	—
117	C₁₃×#446	C₂²	1	2	yes	complemented
118	C₁₃×#442	C₂²	1	2	yes	complemented
119	C₁₃×#441	C₂²	1	2	yes	complemented
120	C₁₃×#440	C₂²	1	2	yes	complemented
121	C₁₃×#440	C₂²	1	2	yes	complemented
122	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
123	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	—
125	C₁₃×#435	C₂²	1	2	yes	complemented
126	C₈×D₄×C₁₃	C₂²	1	2	yes	—
127	C₁₃×#432	C₂²	1	1	yes	characteristic
128	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#417	C₂²	1	2	yes	complemented
131	C₁₃×#417	C₂²	1	2	yes	complemented
132	C₁₃×#416	C₂²	1	2	yes	complemented
133	C₁₃×#416	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#102	C₂²	1	2	yes	—
135	C₂×C₁₃×#102	C₂²	1	2	yes	—
136	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
138	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂×C₁₃×#41	C₂³	1	2	yes	—
145	C₂²×D₄×C₁₃	—	2	1	no	—
146	C₂²×D₄×C₁₃	—	2	1	no	—
147	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×D₈	C₂³	1	2	yes	—
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
154	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
155	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
156	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
157	C₁₃×C₄⋊Q₈	—	2	1	no	—
158	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×#127	—	2	2	no	—
163	C₁₃×#127	—	2	1	no	—
164	C₁₃×#127	—	2	1	no	—
165	C₁₃×#127	C₂³	1	2	yes	—
166	C₁₃×#127	C₂³	1	1	yes	characteristic
167	C₁₃×#127	C₂³	1	1	yes	characteristic
168	C₁₃×#126	—	2	1	no	—
169	C₁₃×#126	—	2	1	no	—
170	C₁₃×#126	—	2	1	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#126	—	2	1	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	—	2	1	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	—	2	1	no	—
182	C₁₃×#125	—	2	1	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	—	2	1	no	—
185	C₁₃×#125	C₂³	1	1	yes	characteristic
186	C₁₃×#125	C₂³	1	1	yes	characteristic
187	C₁₃×#125	C₂³	1	1	yes	characteristic
188	C₁₃×#125	C₂³	1	1	yes	characteristic
189	C₁₃×#125	C₂³	1	1	yes	characteristic
190	C₁₃×#125	C₂³	1	1	yes	characteristic
191	C₁₃×#125	C₂³	1	1	yes	characteristic
192	C₁₃×#124	—	2	2	no	—
193	C₁₃×#124	—	2	1	no	—
194	C₁₃×#124	—	2	1	no	—
195	C₁₃×#124	C₂³	1	2	yes	—
196	C₁₃×#124	C₂³	1	2	yes	—
197	C₁₃×#124	C₂³	1	1	yes	characteristic
198	C₁₃×#123	—	2	1	no	—
199	C₁₃×#123	—	2	1	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	1	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	—	2	2	no	—
206	C₁₃×#123	—	2	2	no	—
207	C₁₃×#123	—	2	1	no	—
208	C₁₃×#123	—	2	1	no	—
209	C₁₃×#123	—	2	1	no	—
210	C₁₃×#123	—	2	1	no	—
211	C₁₃×C₂²⋊Q₈	—	2	1	no	—
212	C₁₃×C₂²⋊Q₈	—	2	1	no	—
213	C₁₃×C₂²⋊Q₈	—	2	1	no	—
214	C₁₃×C₂²⋊Q₈	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	—	2	1	no	—
217	C₁₃×C₂²⋊Q₈	—	2	1	no	—
218	C₁₃×C₂²⋊Q₈	—	2	1	no	—
219	C₁₃×C₂²⋊Q₈	—	2	1	no	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₁₃×#121	—	2	1	no	—
225	C₁₃×#121	—	2	1	no	—
226	C₁₃×#121	—	2	1	no	—
227	C₁₃×#121	—	2	1	no	—
228	C₁₃×#121	—	2	1	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	2	no	—
233	C₁₃×#121	—	2	2	no	—
234	C₁₃×#121	—	2	2	no	—
235	C₁₃×#121	—	2	2	no	—
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#121	C₂³	1	2	yes	—
240	C₁₃×#121	C₂³	1	2	yes	—
241	C₁₃×#120	—	2	2	no	—
242	C₁₃×#120	—	2	2	no	—
243	C₄×Q₈×C₁₃	—	2	1	no	—
244	C₄×Q₈×C₁₃	—	2	1	no	—
245	C₄×Q₈×C₁₃	—	2	1	no	—
246	C₄×Q₈×C₁₃	—	2	1	no	—
247	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	—	2	1	no	—
257	C₄×D₄×C₁₃	—	2	2	no	—
258	C₄×D₄×C₁₃	—	2	2	no	—
259	C₄×D₄×C₁₃	—	2	1	no	—
260	C₄×D₄×C₁₃	—	2	1	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	—	2	1	no	—
266	C₄×D₄×C₁₃	—	2	1	no	—
267	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
268	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
269	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
270	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
271	C₄×D₄×C₁₃	C₂³	1	2	yes	—
272	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₁₃	C₂³	1	2	yes	—
274	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
275	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
276	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
277	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
278	C₁₃×#117	—	2	1	no	—
279	C₁₃×#117	—	2	1	no	—
280	C₁₃×#117	—	2	1	no	—
281	C₁₃×#117	—	2	1	no	—
282	C₁₃×#117	—	2	1	no	—
283	C₁₃×#117	—	2	1	no	—
284	C₁₃×#117	D₄	1	1	yes	characteristic
285	C₁₃×#117	D₄	1	1	yes	characteristic
286	C₁₃×#117	D₄	1	1	yes	characteristic
287	C₁₃×#117	C₂³	1	1	yes	characteristic
288	C₁₃×#117	C₂³	1	1	yes	characteristic
289	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
290	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
291	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
292	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
293	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
294	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
299	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
300	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
303	C₁₃×#107	C₂³	1	2	yes	—
304	C₁₃×#107	C₂³	1	2	yes	—
305	C₁₃×#107	C₂³	1	2	yes	—
306	C₁₃×#106	C₂³	1	2	yes	—
307	C₁₃×#106	C₂³	1	2	yes	—
308	C₁₃×#106	C₂³	1	2	yes	—
309	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
311	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
312	C₁₃×#103	C₂³	1	2	yes	—
313	C₁₃×#103	C₂³	1	2	yes	—
314	C₁₃×#103	C₂³	1	2	yes	—
315	C₁₃×#103	C₂³	1	2	yes	—
316	C₁₃×#103	C₂³	1	2	yes	—
317	C₁₃×#103	C₂³	1	2	yes	—
318	C₁₃×#103	C₂³	1	2	yes	—
319	C₁₃×#102	C₂³	1	2	yes	—
320	C₁₃×#102	C₂³	1	2	yes	—
321	C₁₃×#102	C₂³	1	2	yes	—
322	C₁₃×#102	C₂³	1	2	yes	—
323	C₁₃×#102	C₂³	1	2	yes	—
324	C₁₃×#102	C₂³	1	2	yes	—
325	C₁₃×#102	C₂³	1	2	yes	—
326	C₁₃×#102	C₂³	1	2	yes	—
327	C₁₃×#102	C₂³	1	2	yes	—
328	C₁₃×#102	C₂³	1	2	yes	—
329	C₁₃×#102	C₂³	1	2	yes	—
330	C₁₃×#102	C₂³	1	2	yes	—
331	C₁₃×#102	C₂³	1	2	yes	—
332	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
333	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
334	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₁₃×#97	C₂³	1	1	yes	characteristic
336	C₁₃×#97	C₂³	1	1	yes	characteristic
337	C₁₃×#97	C₂³	1	2	yes	—
338	C₁₃×#97	C₂³	1	1	yes	characteristic
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₁₃×#97	C₂³	1	1	yes	characteristic
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#62578	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	2	no	—
344	C₁₃×#41	—	4	2	no	—
345	C₁₃×#41	—	4	2	no	—
346	C₁₃×#41	—	4	2	no	—
347	C₁₃×#41	—	4	2	no	—
348	C₁₃×#41	—	4	2	no	—
349	C₁₃×#41	—	4	4	no	—
350	C₁₃×#41	—	8	2	no	—
351	C₁₃×#41	—	8	2	no	—
352	C₂×Q₈×C₁₃	—	2	1	no	—
353	C₂×Q₈×C₁₃	—	2	1	no	—
354	C₂×Q₈×C₁₃	—	2	1	no	—
355	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
357	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂×D₄×C₁₃	—	2	1	no	—
359	C₂×D₄×C₁₃	—	2	1	no	—
360	C₂×D₄×C₁₃	—	2	1	no	—
361	C₂×D₄×C₁₃	—	2	2	no	—
362	C₂×D₄×C₁₃	—	2	2	no	—
363	C₂×D₄×C₁₃	—	2	2	no	—
364	C₂×D₄×C₁₃	—	2	2	no	—
365	C₂×D₄×C₁₃	—	2	1	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	—	2	2	no	—
368	C₂×D₄×C₁₃	—	2	1	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	2	no	—
371	C₂×D₄×C₁₃	—	2	2	no	—
372	C₂×D₄×C₁₃	—	4	2	no	—
373	C₂×D₄×C₁₃	—	4	2	no	—
374	C₂×D₄×C₁₃	—	4	4	no	—
375	C₂×D₄×C₁₃	—	8	2	no	—
376	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
377	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
378	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
379	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
380	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
381	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	—	2	1	no	—
383	C₂²×C₄×C₁₃	—	2	1	no	—
384	C₂²×C₄×C₁₃	—	2	1	no	—
385	C₂²×C₄×C₁₃	—	2	1	no	—
386	C₂²×C₄×C₁₃	—	2	1	no	—
387	C₂²×C₄×C₁₃	—	2	2	no	—
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	2	2	no	—
390	C₂²×C₄×C₁₃	—	2	2	no	—
391	C₂²×C₄×C₁₃	—	2	1	no	—
392	C₂²×C₄×C₁₃	—	2	1	no	—
393	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₁₃×Q₁₆	—	4	2	no	—
403	C₁₃×SD₁₆	—	4	2	no	—
404	C₁₃×SD₁₆	—	4	2	no	—
405	C₁₃×SD₁₆	—	4	2	no	—
406	C₁₃×D₈	—	4	2	no	—
407	C₁₃×D₈	—	4	2	no	—
408	C₁₃×M₁₆	—	4	2	no	—
409	C₂×C₈×C₁₃	—	4	2	no	—
410	C₂×C₈×C₁₃	—	4	2	no	—
411	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
412	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
413	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
414	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
415	C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₁₃×C₄⋊C₄	—	2	1	no	—
417	C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₁₃×C₄⋊C₄	—	2	1	no	—
419	C₁₃×C₄⋊C₄	—	2	1	no	—
420	C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₁₃×C₄⋊C₄	—	2	1	no	—
422	C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₁₃×C₄⋊C₄	—	2	1	no	—
424	C₁₃×C₄⋊C₄	—	2	1	no	—
425	C₁₃×C₄⋊C₄	—	2	1	no	—
426	C₁₃×C₄⋊C₄	—	2	1	no	—
427	C₁₃×C₄⋊C₄	—	2	1	no	—
428	C₁₃×C₄⋊C₄	—	2	1	no	—
429	C₁₃×C₄⋊C₄	—	2	1	no	—
430	C₁₃×C₄⋊C₄	—	2	1	no	—
431	C₁₃×C₄⋊C₄	—	2	1	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	1	no	—
434	C₁₃×C₄⋊C₄	—	2	1	no	—
435	C₁₃×C₄⋊C₄	—	2	1	no	—
436	C₁₃×C₄⋊C₄	—	2	1	no	—
437	C₁₃×C₄⋊C₄	—	2	1	no	—
438	C₁₃×C₄⋊C₄	—	2	1	no	—
439	C₁₃×C₄⋊C₄	—	2	1	no	—
440	C₁₃×C₄⋊C₄	—	2	2	no	—
441	C₁₃×C₄⋊C₄	—	2	1	no	—
442	C₁₃×C₄⋊C₄	—	2	2	no	—
443	C₁₃×C₄⋊C₄	—	2	1	no	—
444	C₁₃×C₄⋊C₄	—	2	1	no	—
445	C₁₃×C₄⋊C₄	—	2	1	no	—
446	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
448	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
449	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
451	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
452	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
453	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
454	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
455	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
456	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
457	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
458	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
459	C₁₃×C₂²⋊C₄	—	2	2	no	—
460	C₁₃×C₂²⋊C₄	—	2	1	no	—
461	C₁₃×C₂²⋊C₄	—	2	1	no	—
462	C₁₃×C₂²⋊C₄	—	2	1	no	—
463	C₁₃×C₂²⋊C₄	—	2	1	no	—
464	C₁₃×C₂²⋊C₄	—	2	1	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	—	2	2	no	—
467	C₁₃×C₂²⋊C₄	—	2	2	no	—
468	C₁₃×C₂²⋊C₄	—	2	2	no	—
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	—	2	1	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	1	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	2	no	—
475	C₁₃×C₂²⋊C₄	—	2	2	no	—
476	C₁₃×C₂²⋊C₄	—	2	2	no	—
477	C₁₃×C₂²⋊C₄	—	2	2	no	—
478	C₁₃×C₂²⋊C₄	—	2	1	no	—
479	C₁₃×C₂²⋊C₄	—	2	1	no	—
480	C₁₃×C₂²⋊C₄	—	2	1	no	—
481	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
482	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
483	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
484	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
485	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
486	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
487	C₄²×C₁₃	—	2	1	no	—
488	C₄²×C₁₃	—	2	1	no	—
489	C₄²×C₁₃	—	2	1	no	—
490	C₄²×C₁₃	—	2	1	no	—
491	C₄²×C₁₃	—	2	2	no	—
492	C₄²×C₁₃	—	2	1	no	—
493	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
495	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
497	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
498	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
499	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
503	#3515	C₂×C₁₃	1	1	yes	characteristic, complemented
504	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
505	#3371	C₂×C₁₃	1	2	yes	complemented
506	#3370	C₂×C₁₃	1	2	yes	complemented
507	#3317	C₂×C₁₃	1	2	yes	complemented
508	#3314	C₂×C₁₃	1	2	yes	complemented
509	#3309	C₂×C₁₃	1	2	yes	complemented
510	#3306	C₂×C₁₃	1	2	yes	complemented
511	#3297	C₂×C₁₃	1	2	yes	complemented
512	#3296	C₂×C₁₃	1	2	yes	complemented
513	#3236	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3235	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3234	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3217	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3181	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3180	C₂×C₁₃	1	1	yes	characteristic, complemented
521	#3171	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#3142	C₂×C₁₃	1	1	yes	characteristic, complemented
523	#3135	C₂×C₁₃	1	1	yes	characteristic, complemented
524	C₂×#490	C₂×C₁₃	1	1	yes	characteristic, complemented
525	#2970	C₂×C₁₃	1	1	yes	characteristic, complemented
526	C₂³×C₁₃	—	2	1	no	—
527	C₂³×C₁₃	—	2	2	no	—
528	C₂³×C₁₃	—	2	2	no	—
529	C₂³×C₁₃	—	4	4	no	—
530	C₂³×C₁₃	—	8	2	no	—
531	C₂³×C₁₃	—	8	2	no	—
532	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
533	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
535	Q₈×C₁₃	—	2	2	no	—
536	Q₈×C₁₃	—	2	2	no	—
537	Q₈×C₁₃	—	2	2	no	—
538	Q₈×C₁₃	—	4	1	no	—
539	Q₈×C₁₃	—	4	2	no	—
540	Q₈×C₁₃	—	4	2	no	—
541	Q₈×C₁₃	—	8	1	no	—
542	D₄×C₁₃	—	2	2	no	—
543	D₄×C₁₃	—	2	2	no	—
544	D₄×C₁₃	—	2	2	no	—
545	D₄×C₁₃	—	2	2	no	—
546	D₄×C₁₃	—	2	2	no	—
547	D₄×C₁₃	—	2	2	no	—
548	D₄×C₁₃	—	2	2	no	—
549	D₄×C₁₃	—	4	1	no	—
550	D₄×C₁₃	—	4	2	no	—
551	D₄×C₁₃	—	4	2	no	—
552	D₄×C₁₃	—	4	4	no	—
553	D₄×C₁₃	—	4	2	no	—
554	D₄×C₁₃	—	4	2	no	—
555	D₄×C₁₃	—	4	2	no	—
556	D₄×C₁₃	—	4	2	no	—
557	D₄×C₁₃	—	8	2	no	—
558	D₄×C₁₃	—	8	2	no	—
559	D₄×C₁₃	—	8	1	no	—
560	D₄×C₁₃	—	8	2	no	—
561	D₄×C₁₃	—	8	2	no	—
562	D₄×C₁₃	—	8	2	no	—
563	D₄×C₁₃	—	8	2	no	—
564	C₂×C₄×C₁₃	—	2	2	no	—
565	C₂×C₄×C₁₃	—	2	2	no	—
566	C₂×C₄×C₁₃	—	2	2	no	—
567	C₂×C₄×C₁₃	—	2	2	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	2	no	—
572	C₂×C₄×C₁₃	—	2	2	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	1	no	—
577	C₂×C₄×C₁₃	—	4	1	no	—
578	C₂×C₄×C₁₃	—	4	1	no	—
579	C₂×C₄×C₁₃	—	4	1	no	—
580	C₂×C₄×C₁₃	—	4	1	no	—
581	C₂×C₄×C₁₃	—	4	1	no	—
582	C₂×C₄×C₁₃	—	4	2	no	—
583	C₂×C₄×C₁₃	—	4	2	no	—
584	C₂×C₄×C₁₃	—	4	2	no	—
585	C₂×C₄×C₁₃	—	8	1	no	—
586	C₂×C₄×C₁₃	—	8	1	no	—
587	C₂×C₄×C₁₃	—	8	2	no	—
588	C₂×C₄×C₁₃	—	8	2	no	—
589	C₂×C₄×C₁₃	—	8	2	no	—
590	C₂×C₄×C₁₃	—	8	2	no	—
591	C₂×C₄×C₁₃	—	8	1	no	—
592	C₂×C₄×C₁₃	—	8	1	no	—
593	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
594	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
595	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
596	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
597	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
598	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
599	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
600	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
601	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
602	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
603	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
604	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
605	C₈×C₁₃	—	2	2	no	—
606	C₈×C₁₃	—	2	2	no	—
607	C₈×C₁₃	—	2	2	no	—
608	C₈×C₁₃	—	2	2	no	—
609	#559	—	2	1	no	—
610	#559	C₂²×C₁₃	1	2	yes	—
611	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#554	C₂²×C₁₃	1	1	yes	characteristic
613	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	#553	C₂²×C₁₃	1	1	yes	characteristic
615	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	#552	—	2	1	no	—
617	#552	—	2	1	no	—
618	#552	—	2	1	no	—
619	#552	C₂²×C₁₃	1	1	yes	characteristic
620	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	#550	—	2	1	no	—
622	#550	C₂²×C₁₃	1	2	yes	—
623	#547	—	2	1	no	—
624	#547	C₂²×C₁₃	1	1	yes	characteristic
625	#546	—	2	1	no	—
626	#546	—	2	1	no	—
627	#546	C₂²×C₁₃	1	2	yes	—
628	#546	C₂²×C₁₃	1	2	yes	—
629	#541	—	2	1	no	—
630	#540	—	2	1	no	—
631	#540	—	2	1	no	—
632	#539	—	2	1	no	—
633	#539	—	2	1	no	—
634	#535	—	2	1	no	—
635	#533	C₂²×C₁₃	1	1	yes	characteristic
636	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#532	C₂²×C₁₃	1	1	yes	characteristic
638	#532	C₂²×C₁₃	1	1	yes	characteristic
639	#532	C₂²×C₁₃	1	1	yes	characteristic
640	#532	C₂²×C₁₃	1	1	yes	characteristic
641	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
642	#529	C₂²×C₁₃	1	1	yes	characteristic
643	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
646	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	#520	—	2	1	no	—
648	#518	—	2	1	no	—
649	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
650	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
654	#496	C₂²×C₁₃	1	1	yes	characteristic
655	#496	C₂²×C₁₃	1	1	yes	characteristic
656	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
658	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	#490	C₂²×C₁₃	1	2	yes	—
660	#490	C₂²×C₁₃	1	2	yes	—
661	#490	C₂²×C₁₃	1	1	yes	characteristic
662	#490	C₂²×C₁₃	1	1	yes	characteristic
663	#490	C₂²×C₁₃	1	1	yes	characteristic
664	#490	C₂²×C₁₃	1	1	yes	characteristic
665	#490	C₂²×C₁₃	1	1	yes	characteristic
666	#490	C₂²×C₁₃	1	1	yes	characteristic
667	#489	C₂²×C₁₃	1	2	yes	complemented
668	#489	C₂²×C₁₃	1	2	yes	complemented
669	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
670	#488	C₂²×C₁₃	1	2	yes	complemented
671	#488	C₂²×C₁₃	1	2	yes	complemented
672	#484	C₂²×C₁₃	1	2	yes	—
673	#483	C₂²×C₁₃	1	2	yes	—
674	#482	C₂²×C₁₃	1	2	yes	complemented
675	#482	C₂²×C₁₃	1	2	yes	complemented
676	#481	C₂²×C₁₃	1	2	yes	complemented
677	#480	C₂²×C₁₃	1	2	yes	complemented
678	#479	C₂²×C₁₃	1	2	yes	complemented
679	#479	C₂²×C₁₃	1	2	yes	complemented
680	#478	C₂²×C₁₃	1	2	yes	complemented
681	#478	C₂²×C₁₃	1	2	yes	complemented
682	#476	C₂²×C₁₃	1	2	yes	complemented
683	#474	C₂²×C₁₃	1	2	yes	complemented
684	#469	C₂²×C₁₃	1	2	yes	complemented
685	#468	C₂²×C₁₃	1	2	yes	complemented
686	#467	C₂²×C₁₃	1	2	yes	—
687	#466	C₂²×C₁₃	1	2	yes	complemented
688	#465	C₂²×C₁₃	1	2	yes	—
689	#465	C₂²×C₁₃	1	2	yes	complemented
690	#464	C₂²×C₁₃	1	2	yes	complemented
691	#464	C₂²×C₁₃	1	2	yes	complemented
692	#463	C₂²×C₁₃	1	2	yes	complemented
693	#463	C₂²×C₁₃	1	2	yes	complemented
694	#460	C₂²×C₁₃	1	2	yes	—
695	#459	C₂²×C₁₃	1	2	yes	—
696	#452	C₂²×C₁₃	1	2	yes	complemented
697	#452	C₂²×C₁₃	1	2	yes	complemented
698	#450	C₂²×C₁₃	1	2	yes	—
699	#449	C₂²×C₁₃	1	2	yes	complemented
700	#449	C₂²×C₁₃	1	2	yes	complemented
701	#447	C₂²×C₁₃	1	2	yes	—
702	#446	C₂²×C₁₃	1	2	yes	complemented
703	#442	C₂²×C₁₃	1	2	yes	complemented
704	#441	C₂²×C₁₃	1	2	yes	complemented
705	#440	C₂²×C₁₃	1	2	yes	complemented
706	#440	C₂²×C₁₃	1	2	yes	complemented
707	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
708	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
709	#435	C₂²×C₁₃	1	2	yes	—
710	#435	C₂²×C₁₃	1	2	yes	complemented
711	C₈×D₄	C₂²×C₁₃	1	2	yes	—
712	#432	C₂²×C₁₃	1	1	yes	characteristic
713	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
714	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
715	#417	C₂²×C₁₃	1	2	yes	complemented
716	#417	C₂²×C₁₃	1	2	yes	complemented
717	#416	C₂²×C₁₃	1	2	yes	complemented
718	#416	C₂²×C₁₃	1	2	yes	complemented
719	C₂×#102	C₂²×C₁₃	1	2	yes	—
720	C₂×#102	C₂²×C₁₃	1	2	yes	—
721	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
722	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
723	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
724	C₂²×C₁₃	—	2	1	no	—
725	C₂²×C₁₃	—	2	1	no	—
726	C₂²×C₁₃	—	2	1	no	—
727	C₂²×C₁₃	—	2	1	no	—
728	C₂²×C₁₃	—	2	1	no	—
729	C₂²×C₁₃	—	2	1	no	—
730	C₂²×C₁₃	—	2	1	no	—
731	C₂²×C₁₃	—	2	1	no	—
732	C₂²×C₁₃	—	4	1	no	—
733	C₂²×C₁₃	—	4	2	no	—
734	C₂²×C₁₃	—	4	2	no	—
735	C₂²×C₁₃	—	4	2	no	—
736	C₂²×C₁₃	—	4	2	no	—
737	C₂²×C₁₃	—	4	1	no	—
738	C₂²×C₁₃	—	4	1	no	—
739	C₂²×C₁₃	—	4	2	no	—
740	C₂²×C₁₃	—	4	2	no	—
741	C₂²×C₁₃	—	16	4	no	—
742	C₂²×C₁₃	#575	1	2	yes	—
743	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
744	C₄×C₁₃	—	2	1	no	—
745	C₄×C₁₃	—	2	1	no	—
746	C₄×C₁₃	—	2	1	no	—
747	C₄×C₁₃	—	2	1	no	—
748	C₄×C₁₃	—	2	1	no	—
749	C₄×C₁₃	—	2	1	no	—
750	C₄×C₁₃	—	2	1	no	—
751	C₄×C₁₃	—	2	1	no	—
752	C₄×C₁₃	—	2	1	no	—
753	C₄×C₁₃	—	2	1	no	—
754	C₄×C₁₃	—	2	1	no	—
755	C₄×C₁₃	—	4	1	no	—
756	C₄×C₁₃	—	4	2	no	—
757	C₄×C₁₃	—	4	1	no	—
758	C₄×C₁₃	—	4	1	no	—
759	C₄×C₁₃	—	4	2	no	—
760	C₄×C₁₃	—	4	1	no	—
761	C₄×C₁₃	—	4	1	no	—
762	C₄×C₁₃	—	4	1	no	—
763	C₄×C₁₃	—	4	1	no	—
764	C₄×C₁₃	#585	1	2	yes	—
765	C₂×#41	—	2	1	no	—
766	C₂×#41	—	2	1	no	—
767	C₂×#41	—	2	1	no	—
768	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
769	C₂×#41	C₂³×C₁₃	1	2	yes	—
770	C₂×#41	C₂³×C₁₃	1	2	yes	—
771	C₂²×D₄	—	2	1	no	—
772	C₂²×D₄	—	2	1	no	—
773	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
774	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
775	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
776	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
777	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
778	C₂×D₈	C₂³×C₁₃	1	2	yes	—
779	C₂×D₈	C₂³×C₁₃	1	2	yes	—
780	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
781	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
782	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
783	C₄⋊Q₈	—	2	1	no	—
784	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
785	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
786	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
787	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
788	#127	—	2	2	no	—
789	#127	—	2	1	no	—
790	#127	—	2	1	no	—
791	#127	C₂³×C₁₃	1	1	yes	characteristic
792	#127	C₂³×C₁₃	1	1	yes	characteristic
793	#127	C₂³×C₁₃	1	2	yes	—
794	#126	—	2	1	no	—
795	#126	—	2	1	no	—
796	#126	—	2	1	no	—
797	#126	—	2	1	no	—
798	#126	—	2	1	no	—
799	#126	—	2	1	no	—
800	#126	—	2	1	no	—
801	#125	—	2	1	no	—
802	#125	—	2	1	no	—
803	#125	—	2	1	no	—
804	#125	—	2	1	no	—
805	#125	—	2	1	no	—
806	#125	—	2	1	no	—
807	#125	—	2	1	no	—
808	#125	—	2	1	no	—
809	#125	—	2	1	no	—
810	#125	—	2	1	no	—
811	#125	C₂³×C₁₃	1	1	yes	characteristic
812	#125	C₂³×C₁₃	1	1	yes	characteristic
813	#125	C₂³×C₁₃	1	1	yes	characteristic
814	#125	C₂³×C₁₃	1	1	yes	characteristic
815	#125	C₂³×C₁₃	1	1	yes	characteristic
816	#125	C₂³×C₁₃	1	1	yes	characteristic
817	#125	C₂³×C₁₃	1	1	yes	characteristic
818	#124	—	2	2	no	—
819	#124	—	2	1	no	—
820	#124	—	2	1	no	—
821	#124	C₂³×C₁₃	1	1	yes	characteristic
822	#124	C₂³×C₁₃	1	2	yes	—
823	#124	C₂³×C₁₃	1	2	yes	—
824	#123	—	2	1	no	—
825	#123	—	2	1	no	—
826	#123	—	2	1	no	—
827	#123	—	2	1	no	—
828	#123	—	2	1	no	—
829	#123	—	2	2	no	—
830	#123	—	2	2	no	—
831	#123	—	2	2	no	—
832	#123	—	2	2	no	—
833	#123	—	2	1	no	—
834	#123	—	2	1	no	—
835	#123	—	2	1	no	—
836	#123	—	2	1	no	—
837	C₂²⋊Q₈	—	2	1	no	—
838	C₂²⋊Q₈	—	2	1	no	—
839	C₂²⋊Q₈	—	2	1	no	—
840	C₂²⋊Q₈	—	2	1	no	—
841	C₂²⋊Q₈	—	2	1	no	—
842	C₂²⋊Q₈	—	2	1	no	—
843	C₂²⋊Q₈	—	2	1	no	—
844	C₂²⋊Q₈	—	2	1	no	—
845	C₂²⋊Q₈	—	2	1	no	—
846	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
847	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
848	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
849	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
850	#121	—	2	1	no	—
851	#121	—	2	1	no	—
852	#121	—	2	1	no	—
853	#121	—	2	1	no	—
854	#121	—	2	1	no	—
855	#121	—	2	1	no	—
856	#121	—	2	1	no	—
857	#121	—	2	1	no	—
858	#121	—	2	2	no	—
859	#121	—	2	2	no	—
860	#121	—	2	2	no	—
861	#121	—	2	2	no	—
862	#121	C₂³×C₁₃	1	1	yes	characteristic
863	#121	C₂³×C₁₃	1	1	yes	characteristic
864	#121	C₂³×C₁₃	1	1	yes	characteristic
865	#121	C₂³×C₁₃	1	2	yes	—
866	#121	C₂³×C₁₃	1	2	yes	—
867	#120	—	2	2	no	—
868	#120	—	2	2	no	—
869	C₄×Q₈	—	2	1	no	—
870	C₄×Q₈	—	2	1	no	—
871	C₄×Q₈	—	2	1	no	—
872	C₄×Q₈	—	2	1	no	—
873	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
874	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
875	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
876	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
877	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
878	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
879	C₄×D₄	—	2	1	no	—
880	C₄×D₄	—	2	1	no	—
881	C₄×D₄	—	2	1	no	—
882	C₄×D₄	—	2	1	no	—
883	C₄×D₄	—	2	2	no	—
884	C₄×D₄	—	2	2	no	—
885	C₄×D₄	—	2	1	no	—
886	C₄×D₄	—	2	1	no	—
887	C₄×D₄	—	2	1	no	—
888	C₄×D₄	—	2	1	no	—
889	C₄×D₄	—	2	1	no	—
890	C₄×D₄	—	2	1	no	—
891	C₄×D₄	—	2	1	no	—
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
894	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
895	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
896	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
897	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
898	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
899	C₄×D₄	C₂³×C₁₃	1	2	yes	—
900	C₄×D₄	C₂³×C₁₃	1	2	yes	—
901	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
902	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
903	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
904	#117	—	2	1	no	—
905	#117	—	2	1	no	—
906	#117	—	2	1	no	—
907	#117	—	2	1	no	—
908	#117	—	2	1	no	—
909	#117	—	2	1	no	—
910	#117	D₄×C₁₃	1	1	yes	characteristic
911	#117	D₄×C₁₃	1	1	yes	characteristic
912	#117	D₄×C₁₃	1	1	yes	characteristic
913	#117	C₂³×C₁₃	1	1	yes	characteristic
914	#117	C₂³×C₁₃	1	1	yes	characteristic
915	C₂×C₄⋊C₄	—	2	1	no	—
916	C₂×C₄⋊C₄	—	2	1	no	—
917	C₂×C₄⋊C₄	—	2	1	no	—
918	C₂×C₄⋊C₄	—	2	1	no	—
919	C₂×C₄⋊C₄	—	2	1	no	—
920	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	—	2	2	no	—
925	C₂×C₂²⋊C₄	—	2	2	no	—
926	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
927	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
928	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
929	#107	C₂³×C₁₃	1	2	yes	—
930	#107	C₂³×C₁₃	1	2	yes	—
931	#107	C₂³×C₁₃	1	2	yes	—
932	#106	C₂³×C₁₃	1	2	yes	—
933	#106	C₂³×C₁₃	1	2	yes	—
934	#106	C₂³×C₁₃	1	2	yes	—
935	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
936	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
937	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
938	#103	C₂³×C₁₃	1	2	yes	—
939	#103	C₂³×C₁₃	1	2	yes	—
940	#103	C₂³×C₁₃	1	2	yes	—
941	#103	C₂³×C₁₃	1	2	yes	—
942	#103	C₂³×C₁₃	1	2	yes	—
943	#103	C₂³×C₁₃	1	2	yes	—
944	#103	C₂³×C₁₃	1	2	yes	—
945	#102	C₂³×C₁₃	1	2	yes	—
946	#102	C₂³×C₁₃	1	2	yes	—
947	#102	C₂³×C₁₃	1	2	yes	—
948	#102	C₂³×C₁₃	1	2	yes	—
949	#102	C₂³×C₁₃	1	2	yes	—
950	#102	C₂³×C₁₃	1	2	yes	—
951	#102	C₂³×C₁₃	1	2	yes	—
952	#102	C₂³×C₁₃	1	2	yes	—
953	#102	C₂³×C₁₃	1	2	yes	—
954	#102	C₂³×C₁₃	1	2	yes	—
955	#102	C₂³×C₁₃	1	2	yes	—
956	#102	C₂³×C₁₃	1	2	yes	—
957	#102	C₂³×C₁₃	1	2	yes	—
958	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
959	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
960	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
961	#97	C₂³×C₁₃	1	1	yes	characteristic
962	#97	C₂³×C₁₃	1	1	yes	characteristic
963	#97	C₂³×C₁₃	1	2	yes	—
964	#97	C₂³×C₁₃	1	1	yes	characteristic
965	#97	C₂³×C₁₃	1	2	yes	—
966	#97	C₂³×C₁₃	1	1	yes	characteristic
967	C₄×C₈	C₂³×C₁₃	1	2	yes	—
968	C₂×C₁₃	—	2	2	no	—
969	C₂×C₁₃	—	4	1	no	—
970	C₂×C₁₃	—	4	1	no	—
971	C₂×C₁₃	—	8	1	no	—
972	C₂×C₁₃	—	8	2	no	—
973	C₂×C₁₃	—	8	2	no	—
974	C₂×C₁₃	#3500	1	1	yes	characteristic
975	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
976	C₂×C₁₃	#3585	1	1	yes	characteristic
977	C₂⁴	—	2	2	no	—
978	#41	—	4	2	no	—
979	#41	—	4	2	no	—
980	#41	—	4	2	no	—
981	#41	—	4	2	no	—
982	#41	—	4	2	no	—
983	#41	—	4	4	no	—
984	#41	—	8	2	no	—
985	#41	—	8	2	no	—
986	C₂×Q₈	—	2	1	no	—
987	C₂×Q₈	—	2	1	no	—
988	C₂×Q₈	—	2	1	no	—
989	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
990	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
991	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
992	C₂×D₄	—	2	1	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	1	no	—
995	C₂×D₄	—	2	2	no	—
996	C₂×D₄	—	2	2	no	—
997	C₂×D₄	—	2	2	no	—
998	C₂×D₄	—	2	2	no	—
999	C₂×D₄	—	2	1	no	—
1000	C₂×D₄	—	2	1	no	—
1001	C₂×D₄	—	2	2	no	—
1002	C₂×D₄	—	2	1	no	—
1003	C₂×D₄	—	2	1	no	—
1004	C₂×D₄	—	2	2	no	—
1005	C₂×D₄	—	2	2	no	—
1006	C₂×D₄	—	4	2	no	—
1007	C₂×D₄	—	4	2	no	—
1008	C₂×D₄	—	4	4	no	—
1009	C₂×D₄	—	8	2	no	—
1010	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1011	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1012	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1013	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1014	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1015	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1016	C₂²×C₄	—	2	1	no	—
1017	C₂²×C₄	—	2	1	no	—
1018	C₂²×C₄	—	2	1	no	—
1019	C₂²×C₄	—	2	1	no	—
1020	C₂²×C₄	—	2	1	no	—
1021	C₂²×C₄	—	2	2	no	—
1022	C₂²×C₄	—	2	2	no	—
1023	C₂²×C₄	—	2	2	no	—
1024	C₂²×C₄	—	2	2	no	—
1025	C₂²×C₄	—	2	1	no	—
1026	C₂²×C₄	—	2	1	no	—
1027	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1028	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1029	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1030	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1031	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1032	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1033	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1034	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1035	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1036	Q₁₆	—	4	2	no	—
1037	SD₁₆	—	4	2	no	—
1038	SD₁₆	—	4	2	no	—
1039	SD₁₆	—	4	2	no	—
1040	D₈	—	4	2	no	—
1041	D₈	—	4	2	no	—
1042	M₁₆	—	4	2	no	—
1043	C₂×C₈	—	4	2	no	—
1044	C₂×C₈	—	4	2	no	—
1045	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1046	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1047	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1048	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1049	C₄⋊C₄	—	2	1	no	—
1050	C₄⋊C₄	—	2	1	no	—
1051	C₄⋊C₄	—	2	1	no	—
1052	C₄⋊C₄	—	2	1	no	—
1053	C₄⋊C₄	—	2	1	no	—
1054	C₄⋊C₄	—	2	1	no	—
1055	C₄⋊C₄	—	2	1	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	—	2	1	no	—
1058	C₄⋊C₄	—	2	1	no	—
1059	C₄⋊C₄	—	2	1	no	—
1060	C₄⋊C₄	—	2	1	no	—
1061	C₄⋊C₄	—	2	1	no	—
1062	C₄⋊C₄	—	2	1	no	—
1063	C₄⋊C₄	—	2	1	no	—
1064	C₄⋊C₄	—	2	1	no	—
1065	C₄⋊C₄	—	2	1	no	—
1066	C₄⋊C₄	—	2	1	no	—
1067	C₄⋊C₄	—	2	1	no	—
1068	C₄⋊C₄	—	2	1	no	—
1069	C₄⋊C₄	—	2	1	no	—
1070	C₄⋊C₄	—	2	1	no	—
1071	C₄⋊C₄	—	2	1	no	—
1072	C₄⋊C₄	—	2	1	no	—
1073	C₄⋊C₄	—	2	1	no	—
1074	C₄⋊C₄	—	2	2	no	—
1075	C₄⋊C₄	—	2	1	no	—
1076	C₄⋊C₄	—	2	2	no	—
1077	C₄⋊C₄	—	2	1	no	—
1078	C₄⋊C₄	—	2	1	no	—
1079	C₄⋊C₄	—	2	1	no	—
1080	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1081	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1082	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1083	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1084	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1085	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1086	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1087	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1088	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1089	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1090	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1091	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1092	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1093	C₂²⋊C₄	—	2	2	no	—
1094	C₂²⋊C₄	—	2	1	no	—
1095	C₂²⋊C₄	—	2	1	no	—
1096	C₂²⋊C₄	—	2	1	no	—
1097	C₂²⋊C₄	—	2	1	no	—
1098	C₂²⋊C₄	—	2	1	no	—
1099	C₂²⋊C₄	—	2	2	no	—
1100	C₂²⋊C₄	—	2	2	no	—
1101	C₂²⋊C₄	—	2	2	no	—
1102	C₂²⋊C₄	—	2	2	no	—
1103	C₂²⋊C₄	—	2	1	no	—
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	2	1	no	—
1106	C₂²⋊C₄	—	2	1	no	—
1107	C₂²⋊C₄	—	2	1	no	—
1108	C₂²⋊C₄	—	2	2	no	—
1109	C₂²⋊C₄	—	2	2	no	—
1110	C₂²⋊C₄	—	2	2	no	—
1111	C₂²⋊C₄	—	2	2	no	—
1112	C₂²⋊C₄	—	2	1	no	—
1113	C₂²⋊C₄	—	2	1	no	—
1114	C₂²⋊C₄	—	2	1	no	—
1115	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1116	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1117	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1118	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1119	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1120	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1121	C₄²	—	2	1	no	—
1122	C₄²	—	2	1	no	—
1123	C₄²	—	2	1	no	—
1124	C₄²	—	2	1	no	—
1125	C₄²	—	2	2	no	—
1126	C₄²	—	2	1	no	—
1127	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1128	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1129	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1130	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1131	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1132	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1133	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1134	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1135	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1136	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1137	C₁₃	#62578	1	1	yes	characteristic, direct product factor, Sylow
1138	C₂³	—	2	1	no	—
1139	C₂³	—	2	2	no	—
1140	C₂³	—	2	2	no	—
1141	C₂³	—	4	4	no	—
1142	C₂³	—	8	2	no	—
1143	C₂³	—	8	2	no	—
1144	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1145	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1146	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1147	Q₈	—	2	2	no	—
1148	Q₈	—	2	2	no	—
1149	Q₈	—	2	2	no	—
1150	Q₈	—	4	1	no	—
1151	Q₈	—	4	2	no	—
1152	Q₈	—	4	2	no	—
1153	Q₈	—	8	1	no	—
1154	D₄	—	2	2	no	—
1155	D₄	—	2	2	no	—
1156	D₄	—	2	2	no	—
1157	D₄	—	2	2	no	—
1158	D₄	—	2	2	no	—
1159	D₄	—	2	2	no	—
1160	D₄	—	2	2	no	—
1161	D₄	—	4	1	no	—
1162	D₄	—	4	2	no	—
1163	D₄	—	4	2	no	—
1164	D₄	—	4	4	no	—
1165	D₄	—	4	2	no	—
1166	D₄	—	4	2	no	—
1167	D₄	—	4	2	no	—
1168	D₄	—	4	2	no	—
1169	D₄	—	8	2	no	—
1170	D₄	—	8	2	no	—
1171	D₄	—	8	1	no	—
1172	D₄	—	8	2	no	—
1173	D₄	—	8	2	no	—
1174	D₄	—	8	2	no	—
1175	D₄	—	8	2	no	—
1176	C₂×C₄	—	2	2	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	2	2	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	4	1	no	—
1190	C₂×C₄	—	4	1	no	—
1191	C₂×C₄	—	4	1	no	—
1192	C₂×C₄	—	4	1	no	—
1193	C₂×C₄	—	4	1	no	—
1194	C₂×C₄	—	4	2	no	—
1195	C₂×C₄	—	4	2	no	—
1196	C₂×C₄	—	4	2	no	—
1197	C₂×C₄	—	8	1	no	—
1198	C₂×C₄	—	8	1	no	—
1199	C₂×C₄	—	8	2	no	—
1200	C₂×C₄	—	8	2	no	—
1201	C₂×C₄	—	8	2	no	—
1202	C₂×C₄	—	8	2	no	—
1203	C₂×C₄	—	8	1	no	—
1204	C₂×C₄	—	8	1	no	—
1205	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1206	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1207	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1208	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1209	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1210	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1211	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1212	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1213	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1214	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1215	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1216	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1217	C₈	—	2	2	no	—
1218	C₈	—	2	2	no	—
1219	C₈	—	2	2	no	—
1220	C₈	—	2	2	no	—
1221	C₂²	—	2	1	no	—
1222	C₂²	—	2	1	no	—
1223	C₂²	—	2	1	no	—
1224	C₂²	—	2	1	no	—
1225	C₂²	—	2	1	no	—
1226	C₂²	—	2	1	no	—
1227	C₂²	—	2	1	no	—
1228	C₂²	—	2	1	no	—
1229	C₂²	—	4	1	no	—
1230	C₂²	—	4	2	no	—
1231	C₂²	—	4	2	no	—
1232	C₂²	—	4	1	no	—
1233	C₂²	—	4	2	no	—
1234	C₂²	—	4	2	no	—
1235	C₂²	—	4	2	no	—
1236	C₂²	—	4	2	no	—
1237	C₂²	—	4	1	no	—
1238	C₂²	—	16	4	no	—
1239	C₂²	C₁₃×#575	1	2	yes	—
1240	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1241	C₄	—	2	1	no	—
1242	C₄	—	2	1	no	—
1243	C₄	—	2	1	no	—
1244	C₄	—	2	1	no	—
1245	C₄	—	2	1	no	—
1246	C₄	—	2	1	no	—
1247	C₄	—	2	1	no	—
1248	C₄	—	2	1	no	—
1249	C₄	—	2	1	no	—
1250	C₄	—	2	1	no	—
1251	C₄	—	2	1	no	—
1252	C₄	—	4	1	no	—
1253	C₄	—	4	1	no	—
1254	C₄	—	4	1	no	—
1255	C₄	—	4	1	no	—
1256	C₄	—	4	2	no	—
1257	C₄	—	4	1	no	—
1258	C₄	—	4	1	no	—
1259	C₄	—	4	2	no	—
1260	C₄	—	4	1	no	—
1261	C₄	C₁₃×#585	1	2	yes	—
1262	C₂	—	2	2	no	—
1263	C₂	—	4	1	no	—
1264	C₂	—	4	1	no	—
1265	C₂	—	8	2	no	—
1266	C₂	—	8	2	no	—
1267	C₂	—	8	1	no	—
1268	C₂	C₁₃×#3500	1	1	yes	characteristic
1269	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1270	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 ◁ 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. C₁₃×#3508	C₂	semidirect
3. C₁₃×#3371	C₂	semidirect
4. C₁₃×#3370	C₂	semidirect
5. C₁₃×#3317	C₂	semidirect
6. C₁₃×#3314	C₂	semidirect
7. C₁₃×#3309	C₂	semidirect
8. C₁₃×#3306	C₂	semidirect
9. C₁₃×#3297	C₂	semidirect
10. C₁₃×#3296	C₂	semidirect
11. C₁₃×#3236	C₂	semidirect
12. C₁₃×#3235	C₂	semidirect
13. C₁₃×#3234	C₂	semidirect
14. C₁₃×#3219	C₂	semidirect
15. C₁₃×#3219	C₂	semidirect
16. C₁₃×#3217	C₂	semidirect
17. C₁₃×#3181	C₂	semidirect
18. C₁₃×#3180	C₂	semidirect
19. C₁₃×#3171	C₂	semidirect
20. C₁₃×#3142	C₂	semidirect
21. C₁₃×#3135	C₂	semidirect
22. C₂×C₁₃×#490	C₂	semidirect
23. C₁₃×#2970	C₂	semidirect
26. C₁₃×#557	C₂²	semidirect
28. C₁₃×#554	C₂²	semidirect
30. C₁₃×#553	C₂²	semidirect
35. C₁₃×#552	C₂²	semidirect
51. C₁₃×#533	C₂²	semidirect
58. C₁₃×#529	C₂²	semidirect
59. C₁₃×#529	C₂²	semidirect
61. C₂×C₁₃×#125	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#501	C₂²	semidirect
67. C₁₃×#501	C₂²	semidirect
68. C₁₃×#497	C₂²	semidirect
71. C₁₃×#491	C₂²	semidirect
72. C₁₃×#491	C₂²	semidirect
73. C₁₃×#491	C₂²	semidirect
82. C₁₃×#489	C₂²	semidirect
83. C₁₃×#489	C₂²	semidirect
84. C₁₃×#489	C₂²	semidirect
85. C₁₃×#488	C₂²	semidirect
86. C₁₃×#488	C₂²	semidirect
89. C₁₃×#482	C₂²	semidirect
90. C₁₃×#482	C₂²	semidirect
91. C₁₃×#481	C₂²	semidirect
92. C₁₃×#480	C₂²	semidirect
93. C₁₃×#479	C₂²	semidirect
94. C₁₃×#479	C₂²	semidirect
95. C₁₃×#478	C₂²	semidirect
96. C₁₃×#478	C₂²	semidirect
97. C₁₃×#476	C₂²	semidirect
98. C₁₃×#474	C₂²	semidirect
99. C₁₃×#469	C₂²	semidirect
100. C₁₃×#468	C₂²	semidirect
102. C₁₃×#466	C₂²	semidirect
104. C₁₃×#465	C₂²	semidirect
105. C₁₃×#464	C₂²	semidirect
106. C₁₃×#464	C₂²	semidirect
107. C₁₃×#463	C₂²	semidirect
108. C₁₃×#463	C₂²	semidirect
111. C₁₃×#452	C₂²	semidirect
112. C₁₃×#452	C₂²	semidirect
114. C₁₃×#449	C₂²	semidirect
115. C₁₃×#449	C₂²	semidirect
117. C₁₃×#446	C₂²	semidirect
118. C₁₃×#442	C₂²	semidirect
119. C₁₃×#441	C₂²	semidirect
120. C₁₃×#440	C₂²	semidirect
121. C₁₃×#440	C₂²	semidirect
122. C₄×C₁₃×SD₁₆	C₂²	semidirect
123. C₄×C₁₃×D₈	C₂²	semidirect
125. C₁₃×#435	C₂²	semidirect
128. C₁₃×#432	C₂²	semidirect
129. C₁₃×#432	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
131. C₁₃×#417	C₂²	semidirect
132. C₁₃×#416	C₂²	semidirect
133. C₁₃×#416	C₂²	semidirect
136. C₄×C₁₃×M₁₆	C₂²	semidirect
138. C₂×C₁₃×#97	C₂²	semidirect
342. #62578	C₁₃	direct (N × H)
503. #3515	C₂×C₁₃	semidirect
504. #3508	C₂×C₁₃	semidirect
505. #3371	C₂×C₁₃	semidirect
506. #3370	C₂×C₁₃	semidirect
507. #3317	C₂×C₁₃	semidirect
508. #3314	C₂×C₁₃	semidirect
509. #3309	C₂×C₁₃	semidirect
510. #3306	C₂×C₁₃	semidirect
511. #3297	C₂×C₁₃	semidirect
512. #3296	C₂×C₁₃	semidirect
513. #3236	C₂×C₁₃	semidirect
514. #3235	C₂×C₁₃	semidirect
515. #3234	C₂×C₁₃	semidirect
516. #3219	C₂×C₁₃	semidirect
517. #3219	C₂×C₁₃	semidirect
518. #3217	C₂×C₁₃	semidirect
519. #3181	C₂×C₁₃	semidirect
520. #3180	C₂×C₁₃	semidirect
521. #3171	C₂×C₁₃	semidirect
522. #3142	C₂×C₁₃	semidirect
523. #3135	C₂×C₁₃	semidirect
524. C₂×#490	C₂×C₁₃	semidirect
525. #2970	C₂×C₁₃	semidirect
611. #557	C₂²×C₁₃	semidirect
613. #554	C₂²×C₁₃	semidirect
615. #553	C₂²×C₁₃	semidirect
620. #552	C₂²×C₁₃	semidirect
636. #533	C₂²×C₁₃	semidirect
643. #529	C₂²×C₁₃	semidirect
644. #529	C₂²×C₁₃	semidirect
646. C₂×#125	C₂²×C₁₃	semidirect
650. #501	C₂²×C₁₃	semidirect
651. #501	C₂²×C₁₃	semidirect
652. #501	C₂²×C₁₃	semidirect
653. #497	C₂²×C₁₃	semidirect
656. #491	C₂²×C₁₃	semidirect
657. #491	C₂²×C₁₃	semidirect
658. #491	C₂²×C₁₃	semidirect
667. #489	C₂²×C₁₃	semidirect
668. #489	C₂²×C₁₃	semidirect
669. #489	C₂²×C₁₃	semidirect
670. #488	C₂²×C₁₃	semidirect
671. #488	C₂²×C₁₃	semidirect
674. #482	C₂²×C₁₃	semidirect
675. #482	C₂²×C₁₃	semidirect
676. #481	C₂²×C₁₃	semidirect
677. #480	C₂²×C₁₃	semidirect
678. #479	C₂²×C₁₃	semidirect
679. #479	C₂²×C₁₃	semidirect
680. #478	C₂²×C₁₃	semidirect
681. #478	C₂²×C₁₃	semidirect
682. #476	C₂²×C₁₃	semidirect
683. #474	C₂²×C₁₃	semidirect
684. #469	C₂²×C₁₃	semidirect
685. #468	C₂²×C₁₃	semidirect
687. #466	C₂²×C₁₃	semidirect
689. #465	C₂²×C₁₃	semidirect
690. #464	C₂²×C₁₃	semidirect
691. #464	C₂²×C₁₃	semidirect
692. #463	C₂²×C₁₃	semidirect
693. #463	C₂²×C₁₃	semidirect
696. #452	C₂²×C₁₃	semidirect
697. #452	C₂²×C₁₃	semidirect
699. #449	C₂²×C₁₃	semidirect
700. #449	C₂²×C₁₃	semidirect
702. #446	C₂²×C₁₃	semidirect
703. #442	C₂²×C₁₃	semidirect
704. #441	C₂²×C₁₃	semidirect
705. #440	C₂²×C₁₃	semidirect
706. #440	C₂²×C₁₃	semidirect
707. C₄×SD₁₆	C₂²×C₁₃	semidirect
708. C₄×D₈	C₂²×C₁₃	semidirect
710. #435	C₂²×C₁₃	semidirect
713. #432	C₂²×C₁₃	semidirect
714. #432	C₂²×C₁₃	semidirect
715. #417	C₂²×C₁₃	semidirect
716. #417	C₂²×C₁₃	semidirect
717. #416	C₂²×C₁₃	semidirect
718. #416	C₂²×C₁₃	semidirect
721. C₄×M₁₆	C₂²×C₁₃	semidirect
723. C₂×#97	C₂²×C₁₃	semidirect
1137. C₁₃	#62578	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
C₁₃×#3508	2
C₁₃×#3371	2
C₁₃×#3370	2
C₁₃×#3317	2
C₁₃×#3314	2
C₁₃×#3309	2
C₁₃×#3306	2
C₁₃×#3297	2
C₁₃×#3296	2
C₁₃×#3236	2
C₁₃×#3235	2
C₁₃×#3234	2
C₁₃×#3219	2
C₁₃×#3217	2
C₁₃×#3181	2
C₁₃×#3180	2
C₁₃×#3171	2
C₁₃×#3142	2
C₁₃×#3135	2
C₂×C₁₃×#490	2
C₁₃×#2970	2
#62578	13

Subgroups — C13×#62578 #15748917

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62578 #15748917