Subgroups — C₁₃×#62949 #15749288

Order 3328.

6346 conjugacy classes of subgroups.

The subgroup lattice has 1114 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3565	C₂	1	6	yes	maximal, complemented
2	C₁₃×#3563	C₂	1	3	yes	maximal, complemented
3	C₁₃×#3563	C₂	1	6	yes	maximal, complemented
4	C₁₃×#3559	C₂	1	3	yes	maximal, complemented
5	C₁₃×#3557	C₂	1	6	yes	maximal, complemented
6	C₁₃×#3555	C₂	1	6	yes	maximal, complemented
7	C₁₃×#3544	C₂	1	6	yes	maximal, complemented
8	C₁₃×#3524	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3523	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3522	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3516	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3516	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3515	C₂	1	6	yes	maximal, complemented
14	C₁₃×#3507	C₂	1	3	yes	maximal, complemented
15	C₁₃×#3504	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3502	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3482	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×#557	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3461	C₂	1	3	yes	maximal, complemented
20	C₁₃×#564	C₂²	1	6	yes	—
21	C₁₃×#563	C₂²	1	12	yes	—
22	C₁₃×#563	C₂²	1	12	yes	—
23	C₁₃×#563	C₂²	1	6	yes	—
24	C₁₃×#563	C₂²	1	6	yes	—
25	C₁₃×#562	C₂²	1	6	yes	—
26	C₁₃×#559	C₂²	1	3	yes	—
27	C₁₃×#559	C₂²	1	6	yes	—
28	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
29	Q₈²×C₁₃	C₂²	1	6	yes	—
30	C₁₃×#557	C₂²	1	3	yes	—
31	C₁₃×#557	C₂²	1	1	yes	characteristic
32	C₁₃×#557	C₂²	1	2	yes	—
33	C₁₃×#557	C₂²	1	6	yes	—
34	C₁₃×#557	C₂²	1	6	yes	—
35	C₁₃×#557	C₂²	1	6	yes	—
36	C₁₃×#557	C₂²	1	6	yes	—
37	C₁₃×#557	C₂²	1	6	yes	—
38	C₁₃×#557	C₂²	1	2	yes	—
39	C₁₃×#557	C₂²	1	2	yes	—
40	C₁₃×#557	C₂²	1	2	yes	—
41	C₁₃×#556	C₂²	1	3	yes	—
42	C₁₃×#556	C₂²	1	6	yes	—
43	C₁₃×#556	C₂²	1	6	yes	—
44	C₁₃×#556	C₂²	1	12	yes	—
45	C₁₃×#556	C₂²	1	6	yes	—
46	C₁₃×#555	C₂²	1	6	yes	—
47	C₁₃×#554	C₂²	1	3	yes	—
48	C₁₃×#554	C₂²	1	6	yes	—
49	C₁₃×#554	C₂²	1	6	yes	—
50	C₁₃×#554	C₂²	1	6	yes	—
51	C₁₃×#554	C₂²	1	6	yes	—
52	C₁₃×#554	C₂²	1	6	yes	—
53	C₁₃×#554	C₂²	1	6	yes	—
54	C₁₃×#553	C₂²	1	6	yes	—
55	C₁₃×#553	C₂²	1	6	yes	—
56	C₁₃×#553	C₂²	1	6	yes	—
57	C₁₃×#552	C₂²	1	6	yes	—
58	C₁₃×#552	C₂²	1	6	yes	—
59	C₁₃×#552	C₂²	1	6	yes	—
60	C₁₃×#552	C₂²	1	12	yes	—
61	C₁₃×#552	C₂²	1	12	yes	—
62	C₁₃×#552	C₂²	1	12	yes	—
63	C₁₃×#552	C₂²	1	6	yes	—
64	C₁₃×#552	C₂²	1	12	yes	—
65	C₁₃×#552	C₂²	1	6	yes	—
66	C₁₃×#552	C₂²	1	6	yes	—
67	C₁₃×#550	C₂²	1	1	yes	characteristic
68	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
69	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
70	C₁₃×#548	C₂²	1	2	yes	—
71	C₁₃×#548	C₂²	1	2	yes	—
72	C₁₃×#548	C₂²	1	2	yes	—
73	C₁₃×#547	C₂²	1	6	yes	—
74	C₁₃×#547	C₂²	1	6	yes	—
75	C₁₃×#547	C₂²	1	12	yes	—
76	C₁₃×#544	C₂²	1	12	yes	—
77	C₁₃×#544	C₂²	1	6	yes	—
78	C₁₃×#544	C₂²	1	6	yes	—
79	C₁₃×#544	C₂²	1	6	yes	—
80	C₁₃×#544	C₂²	1	3	yes	—
81	C₁₃×#544	C₂²	1	6	yes	—
82	C₁₃×#542	C₂²	1	6	yes	—
83	C₁₃×#542	C₂²	1	6	yes	—
84	C₁₃×#542	C₂²	1	12	yes	—
85	C₁₃×#542	C₂²	1	6	yes	—
86	C₁₃×#542	C₂²	1	6	yes	—
87	C₁₃×#542	C₂²	1	6	yes	—
88	C₁₃×#542	C₂²	1	6	yes	—
89	C₁₃×#541	C₂²	1	6	yes	—
90	C₁₃×#541	C₂²	1	6	yes	—
91	C₁₃×#541	C₂²	1	12	yes	—
92	C₁₃×#541	C₂²	1	12	yes	—
93	C₁₃×#541	C₂²	1	6	yes	—
94	C₁₃×#541	C₂²	1	6	yes	—
95	C₁₃×#541	C₂²	1	6	yes	—
96	C₁₃×#540	C₂²	1	6	yes	—
97	C₁₃×#539	C₂²	1	12	yes	—
98	C₁₃×#539	C₂²	1	12	yes	—
99	C₁₃×#539	C₂²	1	6	yes	—
100	C₁₃×#539	C₂²	1	1	yes	characteristic
101	C₁₃×#539	C₂²	1	3	yes	—
102	C₁₃×#539	C₂²	1	6	yes	—
103	C₁₃×#537	C₂²	1	3	yes	—
104	C₁₃×#536	C₂²	1	6	yes	—
105	C₁₃×#536	C₂²	1	6	yes	—
106	C₁₃×#533	C₂²	1	3	yes	—
107	C₁₃×#533	C₂²	1	6	yes	—
108	C₁₃×#533	C₂²	1	6	yes	—
109	C₁₃×#533	C₂²	1	6	yes	—
110	C₁₃×#533	C₂²	1	6	yes	—
111	C₁₃×#532	C₂²	1	3	yes	—
112	C₂×C₁₃×C₄⋊Q₈	C₂²	1	3	yes	—
113	C₁₃×#529	C₂²	1	3	yes	—
114	C₁₃×#529	C₂²	1	3	yes	—
115	C₁₃×#529	C₂²	1	6	yes	—
116	C₁₃×#529	C₂²	1	6	yes	—
117	C₁₃×#529	C₂²	1	6	yes	—
118	C₁₃×#529	C₂²	1	6	yes	—
119	C₁₃×#529	C₂²	1	6	yes	—
120	C₁₃×#529	C₂²	1	6	yes	—
121	C₁₃×#529	C₂²	1	6	yes	—
122	C₁₃×#529	C₂²	1	6	yes	—
123	C₂×C₁₃×#125	C₂²	1	3	yes	—
124	C₂×C₁₃×#125	C₂²	1	6	yes	—
125	C₂×C₁₃×#125	C₂²	1	3	yes	—
126	C₁₃×#520	C₂²	1	2	yes	—
127	C₁₃×#520	C₂²	1	2	yes	—
128	C₁₃×#520	C₂²	1	6	yes	—
129	C₁₃×#519	C₂²	1	2	yes	—
130	C₁₃×#519	C₂²	1	2	yes	—
131	C₄×C₁₃×#41	C₂²	1	2	yes	—
132	C₄×C₁₃×#41	C₂²	1	6	yes	—
133	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
134	C₂×C₄×Q₈×C₁₃	C₂²	1	3	yes	—
135	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
136	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
137	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
138	C₂×C₁₃×#41	C₂³	1	2	yes	—
139	C₂×C₁₃×#41	C₂³	1	6	yes	—
140	C₂×C₁₃×#41	C₂³	1	6	yes	—
141	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
143	C₂²×Q₈×C₁₃	C₂³	1	3	yes	—
144	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
145	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
146	C₁₃×C₄⋊Q₈	C₂³	1	12	yes	—
147	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
148	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
149	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
150	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
151	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
152	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
153	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
154	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
155	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
156	C₁₃×C₄⋊Q₈	C₂³	1	6	yes	—
157	C₁₃×C₄⋊Q₈	C₂³	1	3	yes	—
158	C₁₃×C₄⋊Q₈	C₂³	1	12	yes	—
159	C₁₃×C₄⋊Q₈	C₂³	1	12	yes	—
160	C₁₃×#127	C₂³	1	3	yes	—
161	C₁₃×#126	C₂³	1	2	yes	—
162	C₁₃×#126	C₂³	1	6	yes	—
163	C₁₃×#126	C₂³	1	6	yes	—
164	C₁₃×#126	C₂³	1	6	yes	—
165	C₁₃×#126	C₂³	1	12	yes	—
166	C₁₃×#126	C₂³	1	6	yes	—
167	C₁₃×#126	C₂³	1	6	yes	—
168	C₁₃×#126	C₂³	1	6	yes	—
169	C₁₃×#126	C₂³	1	12	yes	—
170	C₁₃×#126	C₂³	1	12	yes	—
171	C₁₃×#126	C₂³	1	12	yes	—
172	C₁₃×#126	C₂³	1	6	yes	—
173	C₁₃×#126	C₂³	1	12	yes	—
174	C₁₃×#126	C₂³	1	12	yes	—
175	C₁₃×#126	C₂³	1	12	yes	—
176	C₁₃×#126	C₂³	1	12	yes	—
177	C₁₃×#125	C₂³	1	6	yes	—
178	C₁₃×#125	C₂³	1	6	yes	—
179	C₁₃×#125	C₂³	1	6	yes	—
180	C₁₃×#125	C₂³	1	6	yes	—
181	C₁₃×#125	C₂³	1	6	yes	—
182	C₁₃×#125	C₂³	1	12	yes	—
183	C₁₃×#125	C₂³	1	6	yes	—
184	C₁₃×#125	C₂³	1	6	yes	—
185	C₁₃×#125	C₂³	1	6	yes	—
186	C₁₃×#125	C₂³	1	6	yes	—
187	C₁₃×#125	C₂³	1	6	yes	—
188	C₁₃×#125	C₂³	1	12	yes	—
189	C₁₃×#125	C₂³	1	6	yes	—
190	C₁₃×#125	C₂³	1	6	yes	—
191	C₁₃×#125	C₂³	1	3	yes	—
192	C₁₃×#125	C₂³	1	3	yes	—
193	C₁₃×#125	C₂³	1	6	yes	—
194	C₁₃×#125	C₂³	1	6	yes	—
195	C₁₃×#125	C₂³	1	6	yes	—
196	C₁₃×#125	C₂³	1	2	yes	—
197	C₁₃×#125	C₂³	1	6	yes	—
198	C₁₃×#125	C₂³	1	6	yes	—
199	C₁₃×#125	C₂³	1	6	yes	—
200	C₁₃×#125	C₂³	1	12	yes	—
201	C₁₃×#125	C₂³	1	12	yes	—
202	C₁₃×#125	C₂³	1	12	yes	—
203	C₁₃×#125	C₂³	1	12	yes	—
204	C₁₃×#125	C₂³	1	12	yes	—
205	C₁₃×#125	C₂³	1	12	yes	—
206	C₁₃×#124	C₂³	1	6	yes	—
207	C₁₃×#124	C₂³	1	6	yes	—
208	C₁₃×#124	C₂³	1	6	yes	—
209	C₁₃×#124	C₂³	1	6	yes	—
210	C₁₃×#124	C₂³	1	6	yes	—
211	C₁₃×#124	C₂³	1	6	yes	—
212	C₁₃×#124	C₂³	1	3	yes	—
213	C₁₃×#124	C₂³	1	3	yes	—
214	C₁₃×#124	C₂³	1	6	yes	—
215	C₁₃×#124	C₂³	1	12	yes	—
216	C₁₃×#123	C₂³	1	2	yes	—
217	C₁₃×#123	C₂³	1	6	yes	—
218	C₁₃×#123	C₂³	1	6	yes	—
219	C₁₃×#123	C₂³	1	2	yes	—
220	C₁₃×#123	C₂³	1	6	yes	—
221	C₁₃×#123	C₂³	1	6	yes	—
222	C₁₃×#123	C₂³	1	12	yes	—
223	C₁₃×#123	C₂³	1	12	yes	—
224	C₁₃×#123	C₂³	1	6	yes	—
225	C₁₃×#123	C₂³	1	6	yes	—
226	C₁₃×#123	C₂³	1	12	yes	—
227	C₁₃×#123	C₂³	1	12	yes	—
228	C₁₃×#123	C₂³	1	12	yes	—
229	C₁₃×#123	C₂³	1	12	yes	—
230	C₁₃×#123	C₂³	1	12	yes	—
231	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
233	C₁₃×C₂²⋊Q₈	C₂³	1	3	yes	—
234	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
235	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
236	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
237	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
238	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
239	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
240	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
241	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
242	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
243	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
244	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
245	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
247	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
248	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
249	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
250	C₁₃×C₂²⋊Q₈	C₂³	1	6	yes	—
251	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
252	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
253	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
254	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
258	C₁₃×C₂²⋊Q₈	C₂³	1	12	yes	—
259	C₁₃×#121	C₂³	1	1	yes	characteristic
260	C₁₃×#121	C₂³	1	6	yes	—
261	C₁₃×#121	C₂³	1	3	yes	—
262	C₁₃×#121	C₂³	1	6	yes	—
263	C₁₃×#121	C₂³	1	6	yes	—
264	C₁₃×#121	C₂³	1	6	yes	—
265	C₁₃×#121	C₂³	1	6	yes	—
266	C₁₃×#121	C₂³	1	6	yes	—
267	C₁₃×#121	C₂³	1	6	yes	—
268	C₁₃×#121	C₂³	1	12	yes	—
269	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
270	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
271	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
272	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
273	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
274	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
275	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
276	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
277	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
278	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
279	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
280	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
281	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
282	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
283	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
284	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
285	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
286	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
287	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
288	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
289	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
290	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
291	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
292	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
293	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
294	C₄×Q₈×C₁₃	C₂³	1	3	yes	—
295	C₄×Q₈×C₁₃	C₂³	1	6	yes	—
296	C₄×Q₈×C₁₃	C₂³	1	12	yes	—
297	C₄×D₄×C₁₃	C₂³	1	2	yes	—
298	C₄×D₄×C₁₃	C₂³	1	6	yes	—
299	C₄×D₄×C₁₃	C₂³	1	6	yes	—
300	C₄×D₄×C₁₃	C₂³	1	6	yes	—
301	C₄×D₄×C₁₃	C₂³	1	6	yes	—
302	C₄×D₄×C₁₃	C₂³	1	6	yes	—
303	C₄×D₄×C₁₃	C₂³	1	6	yes	—
304	C₄×D₄×C₁₃	C₂³	1	6	yes	—
305	C₄×D₄×C₁₃	C₂³	1	12	yes	—
306	C₄×D₄×C₁₃	C₂³	1	12	yes	—
307	C₄×D₄×C₁₃	C₂³	1	6	yes	—
308	C₄×D₄×C₁₃	C₂³	1	6	yes	—
309	C₄×D₄×C₁₃	C₂³	1	6	yes	—
310	C₄×D₄×C₁₃	C₂³	1	6	yes	—
311	C₄×D₄×C₁₃	C₂³	1	6	yes	—
312	C₄×D₄×C₁₃	C₂³	1	3	yes	—
313	C₄×D₄×C₁₃	C₂³	1	3	yes	—
314	C₄×D₄×C₁₃	C₂³	1	12	yes	—
315	C₄×D₄×C₁₃	C₂³	1	6	yes	—
316	C₁₃×#117	C₂³	1	6	yes	—
317	C₁₃×#117	C₂³	1	6	yes	—
318	C₁₃×#117	C₂³	1	6	yes	—
319	C₁₃×#117	C₂³	1	6	yes	—
320	C₁₃×#117	C₂³	1	6	yes	—
321	C₁₃×#117	C₂³	1	6	yes	—
322	C₁₃×#117	C₂³	1	6	yes	—
323	C₁₃×#117	C₂³	1	6	yes	—
324	C₁₃×#117	C₂³	1	6	yes	—
325	C₁₃×#117	C₂³	1	6	yes	—
326	C₁₃×#117	C₂³	1	12	yes	—
327	C₁₃×#117	C₂³	1	6	yes	—
328	C₁₃×#117	C₂³	1	12	yes	—
329	C₁₃×#117	C₂³	1	12	yes	—
330	C₁₃×#117	C₂³	1	12	yes	—
331	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
333	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
334	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
335	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
336	C₂×C₁₃×C₄⋊C₄	C₂³	1	3	yes	—
337	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
338	C₂×C₁₃×C₄⋊C₄	C₂³	1	12	yes	—
339	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
340	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
341	C₂×C₁₃×C₄⋊C₄	C₂³	1	6	yes	—
342	C₂×C₁₃×C₄⋊C₄	C₂³	1	12	yes	—
343	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
344	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
345	C₂×C₄²×C₁₃	C₂³	1	3	yes	—
346	C₂×C₄²×C₁₃	C₂³	1	6	yes	—
347	C₂×C₄²×C₁₃	C₂³	1	6	yes	—
348	#62949	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
349	C₁₃×#41	—	2	8	no	—
350	C₁₃×#41	—	4	12	no	—
351	C₁₃×#41	—	4	12	no	—
352	C₂×Q₈×C₁₃	—	2	4	no	—
353	C₂×Q₈×C₁₃	—	2	8	no	—
354	C₂×Q₈×C₁₃	—	4	6	no	—
355	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
356	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
357	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
358	C₂×Q₈×C₁₃	C₂⁴	1	3	yes	—
359	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
361	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
362	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
363	C₂×Q₈×C₁₃	C₂⁴	1	6	yes	—
364	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
366	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
367	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
368	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
369	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂×D₄×C₁₃	C₂⁴	1	3	yes	—
371	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
372	C₂×D₄×C₁₃	C₂⁴	1	6	yes	—
373	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
376	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
377	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
378	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
382	C₂²×C₄×C₁₃	C₂⁴	1	3	yes	—
383	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
384	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
385	C₂²×C₄×C₁₃	C₂⁴	1	6	yes	—
386	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
387	C₂²×C₄×C₁₃	C₂⁴	1	12	yes	—
388	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
389	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
390	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
391	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
392	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
393	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
394	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
395	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
396	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
397	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
398	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
399	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
400	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
401	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
402	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
403	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
404	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
405	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
406	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
409	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
410	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
411	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
412	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
413	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
414	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
416	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
418	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
419	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
420	C₁₃×C₄⋊C₄	C₂⁴	1	12	yes	—
421	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
422	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
423	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
424	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
425	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
426	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
427	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
428	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
429	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
430	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
431	C₁₃×C₄⋊C₄	C₂⁴	1	3	yes	—
432	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
433	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
434	C₁₃×C₄⋊C₄	C₂⁴	1	6	yes	—
435	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
436	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
437	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
438	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
439	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
441	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
442	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
443	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
444	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
445	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
446	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
447	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
448	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
449	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
450	C₁₃×C₂²⋊C₄	C₂⁴	1	12	yes	—
451	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
452	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
453	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
454	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
455	C₁₃×C₂²⋊C₄	C₂⁴	1	6	yes	—
456	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
457	C₄²×C₁₃	C₂⁴	1	6	yes	—
458	C₄²×C₁₃	C₂⁴	1	2	yes	—
459	C₄²×C₁₃	C₂⁴	1	6	yes	—
460	C₄²×C₁₃	C₂⁴	1	6	yes	—
461	C₄²×C₁₃	C₂⁴	1	6	yes	—
462	C₄²×C₁₃	C₂⁴	1	3	yes	—
463	C₄²×C₁₃	C₂⁴	1	6	yes	—
464	C₄²×C₁₃	C₂⁴	1	6	yes	—
465	C₄²×C₁₃	C₂⁴	1	6	yes	—
466	C₄²×C₁₃	C₂⁴	1	3	yes	—
467	C₄²×C₁₃	C₂⁴	1	6	yes	—
468	C₄²×C₁₃	C₂⁴	1	6	yes	—
469	C₄²×C₁₃	C₂⁴	1	3	yes	—
470	C₄²×C₁₃	C₂⁴	1	3	yes	—
471	C₄²×C₁₃	C₂⁴	1	12	yes	—
472	C₄²×C₁₃	C₂⁴	1	12	yes	—
473	#3565	C₂×C₁₃	1	6	yes	complemented
474	#3563	C₂×C₁₃	1	3	yes	complemented
475	#3563	C₂×C₁₃	1	6	yes	complemented
476	#3559	C₂×C₁₃	1	3	yes	complemented
477	#3557	C₂×C₁₃	1	6	yes	complemented
478	#3555	C₂×C₁₃	1	6	yes	complemented
479	#3544	C₂×C₁₃	1	6	yes	complemented
480	#3524	C₂×C₁₃	1	2	yes	complemented
481	#3523	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#3522	C₂×C₁₃	1	1	yes	characteristic, complemented
483	#3516	C₂×C₁₃	1	2	yes	complemented
484	#3516	C₂×C₁₃	1	2	yes	complemented
485	#3515	C₂×C₁₃	1	6	yes	complemented
486	#3507	C₂×C₁₃	1	3	yes	complemented
487	#3504	C₂×C₁₃	1	2	yes	complemented
488	#3502	C₂×C₁₃	1	2	yes	complemented
489	#3482	C₂×C₁₃	1	2	yes	complemented
490	C₂×#557	C₂×C₁₃	1	1	yes	characteristic, complemented
491	#3461	C₂×C₁₃	1	3	yes	complemented
492	C₂³×C₁₃	C₂⁵	1	2	yes	—
493	C₂³×C₁₃	C₂⁵	1	6	yes	—
494	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
495	Q₈×C₁₃	—	2	6	no	—
496	Q₈×C₁₃	—	2	12	no	—
497	Q₈×C₁₃	—	4	6	no	—
498	Q₈×C₁₃	—	4	6	no	—
499	Q₈×C₁₃	—	4	6	no	—
500	Q₈×C₁₃	—	4	3	no	—
501	Q₈×C₁₃	—	4	1	no	—
502	Q₈×C₁₃	—	4	6	no	—
503	Q₈×C₁₃	—	4	6	no	—
504	Q₈×C₁₃	2₋¹⁺⁴	1	4	yes	—
505	D₄×C₁₃	—	2	4	no	—
506	D₄×C₁₃	—	2	12	no	—
507	D₄×C₁₃	—	2	12	no	—
508	D₄×C₁₃	—	4	6	no	—
509	D₄×C₁₃	—	4	3	no	—
510	D₄×C₁₃	—	4	1	no	—
511	D₄×C₁₃	—	4	6	no	—
512	D₄×C₁₃	—	4	6	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	6	no	—
515	C₂×C₄×C₁₃	—	2	6	no	—
516	C₂×C₄×C₁₃	—	2	6	no	—
517	C₂×C₄×C₁₃	—	2	12	no	—
518	C₂×C₄×C₁₃	—	2	12	no	—
519	C₂×C₄×C₁₃	—	4	1	no	—
520	C₂×C₄×C₁₃	—	4	6	no	—
521	C₂×C₄×C₁₃	—	4	2	no	—
522	C₂×C₄×C₁₃	—	4	3	no	—
523	C₂×C₄×C₁₃	—	4	12	no	—
524	C₂×C₄×C₁₃	—	4	1	no	—
525	C₂×C₄×C₁₃	—	4	12	no	—
526	C₂×C₄×C₁₃	—	4	6	no	—
527	C₂×C₄×C₁₃	—	4	6	no	—
528	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
529	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
530	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
531	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
532	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
533	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
535	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
536	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
537	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
538	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
539	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
540	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
541	C₂×C₄×C₁₃	C₂⁵	1	6	yes	—
542	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
543	C₂×C₄×C₁₃	C₂⁵	1	3	yes	—
544	#564	C₂²×C₁₃	1	6	yes	—
545	#563	C₂²×C₁₃	1	12	yes	—
546	#563	C₂²×C₁₃	1	12	yes	—
547	#563	C₂²×C₁₃	1	6	yes	—
548	#563	C₂²×C₁₃	1	6	yes	—
549	#562	C₂²×C₁₃	1	6	yes	—
550	#559	C₂²×C₁₃	1	6	yes	—
551	#559	C₂²×C₁₃	1	3	yes	—
552	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
553	Q₈²	C₂²×C₁₃	1	6	yes	—
554	#557	C₂²×C₁₃	1	2	yes	—
555	#557	C₂²×C₁₃	1	2	yes	—
556	#557	C₂²×C₁₃	1	6	yes	—
557	#557	C₂²×C₁₃	1	6	yes	—
558	#557	C₂²×C₁₃	1	2	yes	—
559	#557	C₂²×C₁₃	1	2	yes	—
560	#557	C₂²×C₁₃	1	6	yes	—
561	#557	C₂²×C₁₃	1	6	yes	—
562	#557	C₂²×C₁₃	1	6	yes	—
563	#557	C₂²×C₁₃	1	1	yes	characteristic
564	#557	C₂²×C₁₃	1	3	yes	—
565	#556	C₂²×C₁₃	1	6	yes	—
566	#556	C₂²×C₁₃	1	6	yes	—
567	#556	C₂²×C₁₃	1	12	yes	—
568	#556	C₂²×C₁₃	1	6	yes	—
569	#556	C₂²×C₁₃	1	3	yes	—
570	#555	C₂²×C₁₃	1	6	yes	—
571	#554	C₂²×C₁₃	1	6	yes	—
572	#554	C₂²×C₁₃	1	6	yes	—
573	#554	C₂²×C₁₃	1	6	yes	—
574	#554	C₂²×C₁₃	1	6	yes	—
575	#554	C₂²×C₁₃	1	6	yes	—
576	#554	C₂²×C₁₃	1	6	yes	—
577	#554	C₂²×C₁₃	1	3	yes	—
578	#553	C₂²×C₁₃	1	6	yes	—
579	#553	C₂²×C₁₃	1	6	yes	—
580	#553	C₂²×C₁₃	1	6	yes	—
581	#552	C₂²×C₁₃	1	6	yes	—
582	#552	C₂²×C₁₃	1	6	yes	—
583	#552	C₂²×C₁₃	1	12	yes	—
584	#552	C₂²×C₁₃	1	6	yes	—
585	#552	C₂²×C₁₃	1	6	yes	—
586	#552	C₂²×C₁₃	1	12	yes	—
587	#552	C₂²×C₁₃	1	12	yes	—
588	#552	C₂²×C₁₃	1	12	yes	—
589	#552	C₂²×C₁₃	1	6	yes	—
590	#552	C₂²×C₁₃	1	6	yes	—
591	#550	C₂²×C₁₃	1	1	yes	characteristic
592	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
593	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
594	#548	C₂²×C₁₃	1	2	yes	—
595	#548	C₂²×C₁₃	1	2	yes	—
596	#548	C₂²×C₁₃	1	2	yes	—
597	#547	C₂²×C₁₃	1	6	yes	—
598	#547	C₂²×C₁₃	1	6	yes	—
599	#547	C₂²×C₁₃	1	12	yes	—
600	#544	C₂²×C₁₃	1	3	yes	—
601	#544	C₂²×C₁₃	1	6	yes	—
602	#544	C₂²×C₁₃	1	6	yes	—
603	#544	C₂²×C₁₃	1	6	yes	—
604	#544	C₂²×C₁₃	1	6	yes	—
605	#544	C₂²×C₁₃	1	12	yes	—
606	#542	C₂²×C₁₃	1	6	yes	—
607	#542	C₂²×C₁₃	1	6	yes	—
608	#542	C₂²×C₁₃	1	6	yes	—
609	#542	C₂²×C₁₃	1	6	yes	—
610	#542	C₂²×C₁₃	1	6	yes	—
611	#542	C₂²×C₁₃	1	6	yes	—
612	#542	C₂²×C₁₃	1	12	yes	—
613	#541	C₂²×C₁₃	1	6	yes	—
614	#541	C₂²×C₁₃	1	6	yes	—
615	#541	C₂²×C₁₃	1	12	yes	—
616	#541	C₂²×C₁₃	1	6	yes	—
617	#541	C₂²×C₁₃	1	6	yes	—
618	#541	C₂²×C₁₃	1	6	yes	—
619	#541	C₂²×C₁₃	1	12	yes	—
620	#540	C₂²×C₁₃	1	6	yes	—
621	#539	C₂²×C₁₃	1	1	yes	characteristic
622	#539	C₂²×C₁₃	1	3	yes	—
623	#539	C₂²×C₁₃	1	6	yes	—
624	#539	C₂²×C₁₃	1	6	yes	—
625	#539	C₂²×C₁₃	1	12	yes	—
626	#539	C₂²×C₁₃	1	12	yes	—
627	#537	C₂²×C₁₃	1	3	yes	—
628	#536	C₂²×C₁₃	1	6	yes	—
629	#536	C₂²×C₁₃	1	6	yes	—
630	#533	C₂²×C₁₃	1	6	yes	—
631	#533	C₂²×C₁₃	1	6	yes	—
632	#533	C₂²×C₁₃	1	6	yes	—
633	#533	C₂²×C₁₃	1	6	yes	—
634	#533	C₂²×C₁₃	1	3	yes	—
635	#532	C₂²×C₁₃	1	3	yes	—
636	C₂×C₄⋊Q₈	C₂²×C₁₃	1	3	yes	—
637	#529	C₂²×C₁₃	1	6	yes	—
638	#529	C₂²×C₁₃	1	6	yes	—
639	#529	C₂²×C₁₃	1	3	yes	—
640	#529	C₂²×C₁₃	1	3	yes	—
641	#529	C₂²×C₁₃	1	6	yes	—
642	#529	C₂²×C₁₃	1	6	yes	—
643	#529	C₂²×C₁₃	1	6	yes	—
644	#529	C₂²×C₁₃	1	6	yes	—
645	#529	C₂²×C₁₃	1	6	yes	—
646	#529	C₂²×C₁₃	1	6	yes	—
647	C₂×#125	C₂²×C₁₃	1	3	yes	—
648	C₂×#125	C₂²×C₁₃	1	3	yes	—
649	C₂×#125	C₂²×C₁₃	1	6	yes	—
650	#520	C₂²×C₁₃	1	2	yes	—
651	#520	C₂²×C₁₃	1	2	yes	—
652	#520	C₂²×C₁₃	1	6	yes	—
653	#519	C₂²×C₁₃	1	2	yes	—
654	#519	C₂²×C₁₃	1	2	yes	—
655	C₄×#41	C₂²×C₁₃	1	6	yes	—
656	C₄×#41	C₂²×C₁₃	1	2	yes	—
657	C₂×C₄×Q₈	C₂²×C₁₃	1	3	yes	—
658	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
659	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
660	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
661	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	—	2	1	no	—
664	C₂²×C₁₃	—	2	2	no	—
665	C₂²×C₁₃	—	2	6	no	—
666	C₂²×C₁₃	—	2	2	no	—
667	C₂²×C₁₃	—	2	6	no	—
668	C₂²×C₁₃	—	2	6	no	—
669	C₂²×C₁₃	—	2	2	no	—
670	C₂²×C₁₃	#585	1	2	yes	—
671	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
672	C₄×C₁₃	—	2	2	no	—
673	C₄×C₁₃	—	2	3	no	—
674	C₄×C₁₃	—	2	6	no	—
675	C₄×C₁₃	—	2	3	no	—
676	C₄×C₁₃	—	2	6	no	—
677	C₄×C₁₃	—	2	3	no	—
678	C₄×C₁₃	—	2	2	no	—
679	C₄×C₁₃	—	2	6	no	—
680	C₄×C₁₃	—	2	2	no	—
681	C₄×C₁₃	—	2	2	no	—
682	C₄×C₁₃	—	2	6	no	—
683	C₄×C₁₃	—	2	6	no	—
684	C₄×C₁₃	—	2	1	no	—
685	C₄×C₁₃	—	2	1	no	—
686	C₄×C₁₃	—	2	2	no	—
687	C₄×C₁₃	C₂×2₋¹⁺⁴	1	6	yes	—
688	C₂×#41	C₂³×C₁₃	1	2	yes	—
689	C₂×#41	C₂³×C₁₃	1	6	yes	—
690	C₂×#41	C₂³×C₁₃	1	6	yes	—
691	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
692	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
693	C₂²×Q₈	C₂³×C₁₃	1	3	yes	—
694	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
695	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
696	C₄⋊Q₈	C₂³×C₁₃	1	12	yes	—
697	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
698	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
699	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
700	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
701	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
702	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
703	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
704	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
705	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
706	C₄⋊Q₈	C₂³×C₁₃	1	6	yes	—
707	C₄⋊Q₈	C₂³×C₁₃	1	3	yes	—
708	C₄⋊Q₈	C₂³×C₁₃	1	12	yes	—
709	C₄⋊Q₈	C₂³×C₁₃	1	12	yes	—
710	#127	C₂³×C₁₃	1	3	yes	—
711	#126	C₂³×C₁₃	1	2	yes	—
712	#126	C₂³×C₁₃	1	6	yes	—
713	#126	C₂³×C₁₃	1	6	yes	—
714	#126	C₂³×C₁₃	1	6	yes	—
715	#126	C₂³×C₁₃	1	12	yes	—
716	#126	C₂³×C₁₃	1	6	yes	—
717	#126	C₂³×C₁₃	1	6	yes	—
718	#126	C₂³×C₁₃	1	6	yes	—
719	#126	C₂³×C₁₃	1	12	yes	—
720	#126	C₂³×C₁₃	1	12	yes	—
721	#126	C₂³×C₁₃	1	12	yes	—
722	#126	C₂³×C₁₃	1	6	yes	—
723	#126	C₂³×C₁₃	1	12	yes	—
724	#126	C₂³×C₁₃	1	12	yes	—
725	#126	C₂³×C₁₃	1	12	yes	—
726	#126	C₂³×C₁₃	1	12	yes	—
727	#125	C₂³×C₁₃	1	6	yes	—
728	#125	C₂³×C₁₃	1	6	yes	—
729	#125	C₂³×C₁₃	1	6	yes	—
730	#125	C₂³×C₁₃	1	6	yes	—
731	#125	C₂³×C₁₃	1	6	yes	—
732	#125	C₂³×C₁₃	1	12	yes	—
733	#125	C₂³×C₁₃	1	6	yes	—
734	#125	C₂³×C₁₃	1	6	yes	—
735	#125	C₂³×C₁₃	1	6	yes	—
736	#125	C₂³×C₁₃	1	6	yes	—
737	#125	C₂³×C₁₃	1	6	yes	—
738	#125	C₂³×C₁₃	1	12	yes	—
739	#125	C₂³×C₁₃	1	6	yes	—
740	#125	C₂³×C₁₃	1	6	yes	—
741	#125	C₂³×C₁₃	1	3	yes	—
742	#125	C₂³×C₁₃	1	3	yes	—
743	#125	C₂³×C₁₃	1	6	yes	—
744	#125	C₂³×C₁₃	1	6	yes	—
745	#125	C₂³×C₁₃	1	6	yes	—
746	#125	C₂³×C₁₃	1	2	yes	—
747	#125	C₂³×C₁₃	1	6	yes	—
748	#125	C₂³×C₁₃	1	6	yes	—
749	#125	C₂³×C₁₃	1	6	yes	—
750	#125	C₂³×C₁₃	1	12	yes	—
751	#125	C₂³×C₁₃	1	12	yes	—
752	#125	C₂³×C₁₃	1	12	yes	—
753	#125	C₂³×C₁₃	1	12	yes	—
754	#125	C₂³×C₁₃	1	12	yes	—
755	#125	C₂³×C₁₃	1	12	yes	—
756	#124	C₂³×C₁₃	1	6	yes	—
757	#124	C₂³×C₁₃	1	6	yes	—
758	#124	C₂³×C₁₃	1	6	yes	—
759	#124	C₂³×C₁₃	1	6	yes	—
760	#124	C₂³×C₁₃	1	6	yes	—
761	#124	C₂³×C₁₃	1	6	yes	—
762	#124	C₂³×C₁₃	1	3	yes	—
763	#124	C₂³×C₁₃	1	3	yes	—
764	#124	C₂³×C₁₃	1	6	yes	—
765	#124	C₂³×C₁₃	1	12	yes	—
766	#123	C₂³×C₁₃	1	2	yes	—
767	#123	C₂³×C₁₃	1	6	yes	—
768	#123	C₂³×C₁₃	1	6	yes	—
769	#123	C₂³×C₁₃	1	2	yes	—
770	#123	C₂³×C₁₃	1	6	yes	—
771	#123	C₂³×C₁₃	1	6	yes	—
772	#123	C₂³×C₁₃	1	12	yes	—
773	#123	C₂³×C₁₃	1	12	yes	—
774	#123	C₂³×C₁₃	1	6	yes	—
775	#123	C₂³×C₁₃	1	6	yes	—
776	#123	C₂³×C₁₃	1	12	yes	—
777	#123	C₂³×C₁₃	1	12	yes	—
778	#123	C₂³×C₁₃	1	12	yes	—
779	#123	C₂³×C₁₃	1	12	yes	—
780	#123	C₂³×C₁₃	1	12	yes	—
781	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
782	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
783	C₂²⋊Q₈	C₂³×C₁₃	1	3	yes	—
784	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
785	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
786	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
787	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
788	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
789	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
790	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
791	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
792	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
793	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
794	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
795	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
796	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
797	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
798	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
799	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
800	C₂²⋊Q₈	C₂³×C₁₃	1	6	yes	—
801	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
802	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
803	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
804	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
805	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
806	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
807	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
808	C₂²⋊Q₈	C₂³×C₁₃	1	12	yes	—
809	#121	C₂³×C₁₃	1	1	yes	characteristic
810	#121	C₂³×C₁₃	1	6	yes	—
811	#121	C₂³×C₁₃	1	3	yes	—
812	#121	C₂³×C₁₃	1	6	yes	—
813	#121	C₂³×C₁₃	1	6	yes	—
814	#121	C₂³×C₁₃	1	6	yes	—
815	#121	C₂³×C₁₃	1	6	yes	—
816	#121	C₂³×C₁₃	1	6	yes	—
817	#121	C₂³×C₁₃	1	6	yes	—
818	#121	C₂³×C₁₃	1	12	yes	—
819	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
820	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
821	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
822	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
823	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
824	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
825	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
826	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
827	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
828	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
829	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
830	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
831	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
832	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
833	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
834	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
835	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
836	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
837	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
838	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
839	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
840	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
841	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
842	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
843	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
844	C₄×Q₈	C₂³×C₁₃	1	3	yes	—
845	C₄×Q₈	C₂³×C₁₃	1	6	yes	—
846	C₄×Q₈	C₂³×C₁₃	1	12	yes	—
847	C₄×D₄	C₂³×C₁₃	1	2	yes	—
848	C₄×D₄	C₂³×C₁₃	1	6	yes	—
849	C₄×D₄	C₂³×C₁₃	1	6	yes	—
850	C₄×D₄	C₂³×C₁₃	1	6	yes	—
851	C₄×D₄	C₂³×C₁₃	1	6	yes	—
852	C₄×D₄	C₂³×C₁₃	1	6	yes	—
853	C₄×D₄	C₂³×C₁₃	1	6	yes	—
854	C₄×D₄	C₂³×C₁₃	1	6	yes	—
855	C₄×D₄	C₂³×C₁₃	1	12	yes	—
856	C₄×D₄	C₂³×C₁₃	1	12	yes	—
857	C₄×D₄	C₂³×C₁₃	1	6	yes	—
858	C₄×D₄	C₂³×C₁₃	1	6	yes	—
859	C₄×D₄	C₂³×C₁₃	1	6	yes	—
860	C₄×D₄	C₂³×C₁₃	1	6	yes	—
861	C₄×D₄	C₂³×C₁₃	1	6	yes	—
862	C₄×D₄	C₂³×C₁₃	1	3	yes	—
863	C₄×D₄	C₂³×C₁₃	1	3	yes	—
864	C₄×D₄	C₂³×C₁₃	1	12	yes	—
865	C₄×D₄	C₂³×C₁₃	1	6	yes	—
866	#117	C₂³×C₁₃	1	6	yes	—
867	#117	C₂³×C₁₃	1	6	yes	—
868	#117	C₂³×C₁₃	1	6	yes	—
869	#117	C₂³×C₁₃	1	6	yes	—
870	#117	C₂³×C₁₃	1	6	yes	—
871	#117	C₂³×C₁₃	1	6	yes	—
872	#117	C₂³×C₁₃	1	6	yes	—
873	#117	C₂³×C₁₃	1	6	yes	—
874	#117	C₂³×C₁₃	1	6	yes	—
875	#117	C₂³×C₁₃	1	6	yes	—
876	#117	C₂³×C₁₃	1	12	yes	—
877	#117	C₂³×C₁₃	1	6	yes	—
878	#117	C₂³×C₁₃	1	12	yes	—
879	#117	C₂³×C₁₃	1	12	yes	—
880	#117	C₂³×C₁₃	1	12	yes	—
881	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
882	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
883	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
884	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
885	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
886	C₂×C₄⋊C₄	C₂³×C₁₃	1	3	yes	—
887	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
888	C₂×C₄⋊C₄	C₂³×C₁₃	1	12	yes	—
889	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
890	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
891	C₂×C₄⋊C₄	C₂³×C₁₃	1	6	yes	—
892	C₂×C₄⋊C₄	C₂³×C₁₃	1	12	yes	—
893	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
894	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
895	C₂×C₄²	C₂³×C₁₃	1	3	yes	—
896	C₂×C₄²	C₂³×C₁₃	1	6	yes	—
897	C₂×C₄²	C₂³×C₁₃	1	6	yes	—
898	C₂×C₁₃	—	2	2	no	—
899	C₂×C₁₃	—	4	2	no	—
900	C₂×C₁₃	—	4	6	no	—
901	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
902	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
903	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
904	#41	—	2	8	no	—
905	#41	—	4	12	no	—
906	#41	—	4	12	no	—
907	C₂×Q₈	—	2	4	no	—
908	C₂×Q₈	—	2	8	no	—
909	C₂×Q₈	—	4	6	no	—
910	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
911	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
912	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
913	C₂×Q₈	C₂⁴×C₁₃	1	3	yes	—
914	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
915	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
916	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
917	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
918	C₂×Q₈	C₂⁴×C₁₃	1	6	yes	—
919	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
920	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
921	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
922	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
923	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
924	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
925	C₂×D₄	C₂⁴×C₁₃	1	3	yes	—
926	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
927	C₂×D₄	C₂⁴×C₁₃	1	6	yes	—
928	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
929	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
930	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
931	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
932	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
933	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
934	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
935	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
936	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
937	C₂²×C₄	C₂⁴×C₁₃	1	3	yes	—
938	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
939	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
940	C₂²×C₄	C₂⁴×C₁₃	1	6	yes	—
941	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
942	C₂²×C₄	C₂⁴×C₁₃	1	12	yes	—
943	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
944	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
945	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
946	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
947	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
948	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
949	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
950	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
951	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
952	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
953	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
954	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
955	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
956	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
957	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
958	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
959	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
960	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
961	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
962	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
963	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
964	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
965	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
966	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
967	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
968	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
969	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
970	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
971	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
972	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
973	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
974	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
975	C₄⋊C₄	C₂⁴×C₁₃	1	12	yes	—
976	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
977	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
978	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
979	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
980	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
981	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
982	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
983	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
984	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
985	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
986	C₄⋊C₄	C₂⁴×C₁₃	1	3	yes	—
987	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
988	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
989	C₄⋊C₄	C₂⁴×C₁₃	1	6	yes	—
990	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
991	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
992	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
993	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
994	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
995	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
996	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
997	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
998	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
999	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1000	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1001	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1002	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1003	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1004	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1005	C₂²⋊C₄	C₂⁴×C₁₃	1	12	yes	—
1006	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1007	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1008	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1009	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1010	C₂²⋊C₄	C₂⁴×C₁₃	1	6	yes	—
1011	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1012	C₄²	C₂⁴×C₁₃	1	6	yes	—
1013	C₄²	C₂⁴×C₁₃	1	2	yes	—
1014	C₄²	C₂⁴×C₁₃	1	6	yes	—
1015	C₄²	C₂⁴×C₁₃	1	6	yes	—
1016	C₄²	C₂⁴×C₁₃	1	6	yes	—
1017	C₄²	C₂⁴×C₁₃	1	3	yes	—
1018	C₄²	C₂⁴×C₁₃	1	6	yes	—
1019	C₄²	C₂⁴×C₁₃	1	6	yes	—
1020	C₄²	C₂⁴×C₁₃	1	6	yes	—
1021	C₄²	C₂⁴×C₁₃	1	3	yes	—
1022	C₄²	C₂⁴×C₁₃	1	6	yes	—
1023	C₄²	C₂⁴×C₁₃	1	6	yes	—
1024	C₄²	C₂⁴×C₁₃	1	3	yes	—
1025	C₄²	C₂⁴×C₁₃	1	3	yes	—
1026	C₄²	C₂⁴×C₁₃	1	12	yes	—
1027	C₄²	C₂⁴×C₁₃	1	12	yes	—
1028	C₁₃	#62949	1	1	yes	characteristic, direct product factor, Sylow
1029	C₂³	C₂⁵×C₁₃	1	2	yes	—
1030	C₂³	C₂⁵×C₁₃	1	6	yes	—
1031	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1032	Q₈	—	2	6	no	—
1033	Q₈	—	2	12	no	—
1034	Q₈	—	4	6	no	—
1035	Q₈	—	4	6	no	—
1036	Q₈	—	4	6	no	—
1037	Q₈	—	4	6	no	—
1038	Q₈	—	4	6	no	—
1039	Q₈	—	4	3	no	—
1040	Q₈	—	4	1	no	—
1041	Q₈	C₁₃×2₋¹⁺⁴	1	4	yes	—
1042	D₄	—	2	4	no	—
1043	D₄	—	2	12	no	—
1044	D₄	—	2	12	no	—
1045	D₄	—	4	6	no	—
1046	D₄	—	4	3	no	—
1047	D₄	—	4	1	no	—
1048	D₄	—	4	6	no	—
1049	D₄	—	4	6	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	6	no	—
1052	C₂×C₄	—	2	6	no	—
1053	C₂×C₄	—	2	6	no	—
1054	C₂×C₄	—	2	12	no	—
1055	C₂×C₄	—	2	12	no	—
1056	C₂×C₄	—	4	1	no	—
1057	C₂×C₄	—	4	6	no	—
1058	C₂×C₄	—	4	2	no	—
1059	C₂×C₄	—	4	3	no	—
1060	C₂×C₄	—	4	12	no	—
1061	C₂×C₄	—	4	1	no	—
1062	C₂×C₄	—	4	12	no	—
1063	C₂×C₄	—	4	6	no	—
1064	C₂×C₄	—	4	6	no	—
1065	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1066	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1067	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1068	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1069	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1070	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1071	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1072	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1073	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1074	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1075	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1076	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1077	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1078	C₂×C₄	C₂⁵×C₁₃	1	6	yes	—
1079	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1080	C₂×C₄	C₂⁵×C₁₃	1	3	yes	—
1081	C₂²	—	2	1	no	—
1082	C₂²	—	2	1	no	—
1083	C₂²	—	2	2	no	—
1084	C₂²	—	2	6	no	—
1085	C₂²	—	2	2	no	—
1086	C₂²	—	2	6	no	—
1087	C₂²	—	2	6	no	—
1088	C₂²	—	2	2	no	—
1089	C₂²	C₁₃×#585	1	2	yes	—
1090	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1091	C₄	—	2	2	no	—
1092	C₄	—	2	3	no	—
1093	C₄	—	2	6	no	—
1094	C₄	—	2	3	no	—
1095	C₄	—	2	6	no	—
1096	C₄	—	2	3	no	—
1097	C₄	—	2	2	no	—
1098	C₄	—	2	6	no	—
1099	C₄	—	2	2	no	—
1100	C₄	—	2	2	no	—
1101	C₄	—	2	6	no	—
1102	C₄	—	2	6	no	—
1103	C₄	—	2	1	no	—
1104	C₄	—	2	1	no	—
1105	C₄	—	2	2	no	—
1106	C₄	C₂×C₁₃×2₋¹⁺⁴	1	6	yes	—
1107	C₂	—	2	2	no	—
1108	C₂	—	4	2	no	—
1109	C₂	—	4	6	no	—
1110	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1111	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1112	C₂	C₁₃×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3565	C₂	semidirect
2. C₁₃×#3563	C₂	semidirect
3. C₁₃×#3563	C₂	semidirect
4. C₁₃×#3559	C₂	semidirect
5. C₁₃×#3557	C₂	semidirect
6. C₁₃×#3555	C₂	semidirect
7. C₁₃×#3544	C₂	semidirect
8. C₁₃×#3524	C₂	semidirect
9. C₁₃×#3523	C₂	semidirect
10. C₁₃×#3522	C₂	semidirect
11. C₁₃×#3516	C₂	semidirect
12. C₁₃×#3516	C₂	semidirect
13. C₁₃×#3515	C₂	semidirect
14. C₁₃×#3507	C₂	semidirect
15. C₁₃×#3504	C₂	semidirect
16. C₁₃×#3502	C₂	semidirect
17. C₁₃×#3482	C₂	semidirect
18. C₂×C₁₃×#557	C₂	semidirect
19. C₁₃×#3461	C₂	semidirect
348. #62949	C₁₃	direct (N × H)
473. #3565	C₂×C₁₃	semidirect
474. #3563	C₂×C₁₃	semidirect
475. #3563	C₂×C₁₃	semidirect
476. #3559	C₂×C₁₃	semidirect
477. #3557	C₂×C₁₃	semidirect
478. #3555	C₂×C₁₃	semidirect
479. #3544	C₂×C₁₃	semidirect
480. #3524	C₂×C₁₃	semidirect
481. #3523	C₂×C₁₃	semidirect
482. #3522	C₂×C₁₃	semidirect
483. #3516	C₂×C₁₃	semidirect
484. #3516	C₂×C₁₃	semidirect
485. #3515	C₂×C₁₃	semidirect
486. #3507	C₂×C₁₃	semidirect
487. #3504	C₂×C₁₃	semidirect
488. #3502	C₂×C₁₃	semidirect
489. #3482	C₂×C₁₃	semidirect
490. C₂×#557	C₂×C₁₃	semidirect
491. #3461	C₂×C₁₃	semidirect
1028. C₁₃	#62949	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×#3565	2
C₁₃×#3563	2
C₁₃×#3559	2
C₁₃×#3557	2
C₁₃×#3555	2
C₁₃×#3544	2
C₁₃×#3524	2
C₁₃×#3523	2
C₁₃×#3522	2
C₁₃×#3516	2
C₁₃×#3515	2
C₁₃×#3507	2
C₁₃×#3504	2
C₁₃×#3502	2
C₁₃×#3482	2
C₂×C₁₃×#557	2
C₁₃×#3461	2
#62949	13

Subgroups — C13×#62949 #15749288

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62949 #15749288