Subgroups — C₁₃×#62585 #15748924

Order 3328.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1264 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3514	C₂	1	1	yes	maximal, characteristic
2	C₁₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3377	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3371	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3313	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3312	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3311	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3310	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3300	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3296	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3240	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3238	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3216	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3215	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3181	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3181	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3172	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3140	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3135	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#489	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2970	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#559	C₂²	1	1	yes	characteristic
25	C₁₃×#557	—	2	1	no	—
26	C₁₃×#557	C₂²	1	2	yes	complemented
27	C₁₃×#556	—	2	1	no	—
28	C₁₃×#556	C₂²	1	1	yes	characteristic
29	C₁₃×#556	C₂²	1	2	yes	complemented
30	C₁₃×#555	—	2	1	no	—
31	C₁₃×#552	—	2	1	no	—
32	C₁₃×#552	—	2	1	no	—
33	C₁₃×#552	C₂²	1	2	yes	—
34	C₁₃×#552	C₂²	1	2	yes	complemented
35	C₁₃×#551	—	2	1	no	—
36	C₁₃×#551	—	2	1	no	—
37	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
38	C₁₃×#548	C₂²	1	1	yes	characteristic
39	C₁₃×#548	C₂²	1	1	yes	characteristic
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	C₂²	1	1	yes	characteristic
42	C₁₃×#546	C₂²	1	1	yes	characteristic
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic
44	C₁₃×#542	—	2	1	no	—
45	C₁₃×#541	—	2	1	no	—
46	C₁₃×#541	—	2	1	no	—
47	C₁₃×#538	—	2	1	no	—
48	C₁₃×#538	—	2	1	no	—
49	C₁₃×#536	—	2	1	no	—
50	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#529	C₂²	1	1	yes	characteristic
59	C₁₃×#529	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
62	C₁₃×#519	—	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
69	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#491	C₂²	1	2	yes	complemented
72	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#490	C₂²	1	2	yes	—
74	C₁₃×#489	C₂²	1	2	yes	—
75	C₁₃×#489	C₂²	1	1	yes	characteristic
76	C₁₃×#489	C₂²	1	1	yes	characteristic
77	C₁₃×#489	C₂²	1	1	yes	characteristic
78	C₁₃×#489	C₂²	1	2	yes	complemented
79	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#488	C₂²	1	2	yes	—
86	C₁₃×#488	C₂²	1	2	yes	complemented
87	C₁₃×#485	C₂²	1	2	yes	complemented
88	C₁₃×#485	C₂²	1	2	yes	complemented
89	C₁₃×#483	C₂²	1	2	yes	complemented
90	C₁₃×#482	C₂²	1	2	yes	—
91	C₁₃×#482	C₂²	1	2	yes	—
92	C₁₃×#480	C₂²	1	2	yes	—
93	C₁₃×#479	C₂²	1	2	yes	complemented
94	C₁₃×#479	C₂²	1	2	yes	complemented
95	C₁₃×#478	C₂²	1	2	yes	—
96	C₁₃×#478	C₂²	1	2	yes	complemented
97	C₁₃×#477	C₂²	1	2	yes	complemented
98	C₁₃×#476	C₂²	1	2	yes	complemented
99	C₁₃×#470	C₂²	1	2	yes	complemented
100	C₁₃×#468	C₂²	1	2	yes	—
101	C₁₃×#467	C₂²	1	2	yes	complemented
102	C₁₃×#467	C₂²	1	2	yes	complemented
103	C₁₃×#465	C₂²	1	2	yes	—
104	C₁₃×#465	C₂²	1	2	yes	—
105	C₁₃×#464	C₂²	1	2	yes	—
106	C₁₃×#464	C₂²	1	2	yes	—
107	C₁₃×#464	C₂²	1	2	yes	complemented
108	C₁₃×#464	C₂²	1	2	yes	complemented
109	C₁₃×#462	C₂²	1	2	yes	complemented
110	C₁₃×#460	C₂²	1	2	yes	—
111	C₁₃×#452	C₂²	1	2	yes	complemented
112	C₁₃×#452	C₂²	1	2	yes	complemented
113	C₁₃×#451	C₂²	1	2	yes	complemented
114	C₁₃×#451	C₂²	1	2	yes	complemented
115	C₁₃×#450	C₂²	1	2	yes	—
116	C₁₃×#450	C₂²	1	2	yes	—
117	C₁₃×#446	C₂²	1	2	yes	complemented
118	C₁₃×#441	C₂²	1	2	yes	complemented
119	C₁₃×#441	C₂²	1	2	yes	complemented
120	C₁₃×#440	C₂²	1	2	yes	—
121	C₁₃×#440	C₂²	1	2	yes	complemented
122	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
123	C₄×C₁₃×SD₁₆	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	complemented
127	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#419	C₂²	1	2	yes	complemented
131	C₁₃×#418	C₂²	1	2	yes	—
132	C₁₃×#416	C₂²	1	2	yes	complemented
133	C₁₃×#416	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
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, complemented
138	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
140	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₁₃	—	2	1	no	—
143	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
144	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
145	C₂²×D₄×C₁₃	—	2	1	no	—
146	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	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	2	no	—
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	—	2	1	no	—
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×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	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	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	1	no	—
175	C₁₃×#126	—	2	1	no	—
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	1	no	—
182	C₁₃×#125	—	2	1	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	C₂³	1	2	yes	—
185	C₁₃×#125	C₂³	1	2	yes	—
186	C₁₃×#125	C₂³	1	1	yes	characteristic
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	—	2	2	no	—
189	C₁₃×#124	—	2	1	no	—
190	C₁₃×#124	—	2	1	no	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	—	2	1	no	—
194	C₁₃×#124	—	2	1	no	—
195	C₁₃×#124	C₂³	1	1	yes	characteristic
196	C₁₃×#124	C₂³	1	1	yes	characteristic
197	C₁₃×#124	C₂³	1	1	yes	characteristic
198	C₁₃×#124	C₂³	1	1	yes	characteristic
199	C₁₃×#124	C₂³	1	1	yes	characteristic
200	C₁₃×#124	C₂³	1	1	yes	characteristic
201	C₁₃×#124	C₂³	1	1	yes	characteristic
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	1	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	1	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	—	2	1	no	—
221	C₁₃×C₂²⋊Q₈	—	2	1	no	—
222	C₁₃×C₂²⋊Q₈	—	2	1	no	—
223	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
224	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
226	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	1	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×#120	—	2	1	no	—
240	C₁₃×#120	—	2	1	no	—
241	C₁₃×#120	—	2	1	no	—
242	C₁₃×#120	—	2	1	no	—
243	C₄×Q₈×C₁₃	—	2	2	no	—
244	C₄×Q₈×C₁₃	—	2	2	no	—
245	C₄×Q₈×C₁₃	—	2	1	no	—
246	C₄×Q₈×C₁₃	—	2	1	no	—
247	C₄×Q₈×C₁₃	—	2	1	no	—
248	C₄×Q₈×C₁₃	—	2	1	no	—
249	C₄×Q₈×C₁₃	—	2	1	no	—
250	C₄×Q₈×C₁₃	—	2	1	no	—
251	C₄×Q₈×C₁₃	—	2	1	no	—
252	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
253	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
254	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
256	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
257	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
258	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
268	C₄×D₄×C₁₃	—	2	1	no	—
269	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
270	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
271	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
272	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	2	no	—
283	C₁₃×#117	—	2	2	no	—
284	C₁₃×#117	—	2	1	no	—
285	C₁₃×#117	—	2	1	no	—
286	C₁₃×#117	—	2	1	no	—
287	C₁₃×#117	D₄	1	1	yes	characteristic
288	C₁₃×#117	D₄	1	1	yes	characteristic
289	C₁₃×#117	D₄	1	1	yes	characteristic
290	C₁₃×#117	C₂³	1	2	yes	—
291	C₁₃×#117	C₂³	1	2	yes	—
292	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
293	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
294	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
295	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
297	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
298	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
299	C₂×C₁₃×C₂²⋊C₄	—	2	1	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×#103	C₂³	1	2	yes	—
320	C₁₃×#103	C₂³	1	2	yes	—
321	C₁₃×#103	C₂³	1	2	yes	—
322	C₁₃×#103	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	1	yes	characteristic
338	C₁₃×#97	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₁₃×#97	C₂³	1	1	yes	characteristic
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#62585	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₂⁴×C₁₃	—	2	1	no	—
344	C₂⁴×C₁₃	—	2	1	no	—
345	C₁₃×#41	—	4	2	no	—
346	C₁₃×#41	—	4	2	no	—
347	C₁₃×#41	—	4	2	no	—
348	C₂×Q₈×C₁₃	—	2	1	no	—
349	C₂×Q₈×C₁₃	—	2	1	no	—
350	C₂×Q₈×C₁₃	—	2	1	no	—
351	C₂×Q₈×C₁₃	—	2	2	no	—
352	C₂×Q₈×C₁₃	—	2	1	no	—
353	C₂×Q₈×C₁₃	—	2	1	no	—
354	C₂×Q₈×C₁₃	—	4	4	no	—
355	C₂×Q₈×C₁₃	—	4	2	no	—
356	C₂×Q₈×C₁₃	—	4	2	no	—
357	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
362	C₂×D₄×C₁₃	—	2	1	no	—
363	C₂×D₄×C₁₃	—	2	1	no	—
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	2	1	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	—	2	1	no	—
368	C₂×D₄×C₁₃	—	2	1	no	—
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	1	no	—
371	C₂×D₄×C₁₃	—	4	2	no	—
372	C₂×D₄×C₁₃	—	4	2	no	—
373	C₂×D₄×C₁₃	—	4	4	no	—
374	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
375	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
376	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
377	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	—	2	2	no	—
381	C₂²×C₄×C₁₃	—	2	1	no	—
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	1	no	—
388	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₁₃×Q₁₆	—	4	2	no	—
398	C₁₃×Q₁₆	—	4	2	no	—
399	C₁₃×Q₁₆	—	4	2	no	—
400	C₁₃×SD₁₆	—	4	2	no	—
401	C₁₃×SD₁₆	—	4	2	no	—
402	C₁₃×SD₁₆	—	4	2	no	—
403	C₁₃×M₁₆	—	4	2	no	—
404	C₂×C₈×C₁₃	—	4	2	no	—
405	C₂×C₈×C₁₃	—	4	2	no	—
406	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
407	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
408	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
409	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
410	C₁₃×C₄⋊C₄	—	2	1	no	—
411	C₁₃×C₄⋊C₄	—	2	1	no	—
412	C₁₃×C₄⋊C₄	—	2	2	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	1	no	—
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	2	no	—
422	C₁₃×C₄⋊C₄	—	2	2	no	—
423	C₁₃×C₄⋊C₄	—	2	2	no	—
424	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
429	C₁₃×C₄⋊C₄	—	2	2	no	—
430	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
435	C₁₃×C₄⋊C₄	—	2	2	no	—
436	C₁₃×C₄⋊C₄	—	2	2	no	—
437	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
438	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
439	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
440	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
441	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
442	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
443	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
444	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
445	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
446	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
448	C₁₃×C₂²⋊C₄	—	2	1	no	—
449	C₁₃×C₂²⋊C₄	—	2	1	no	—
450	C₁₃×C₂²⋊C₄	—	2	2	no	—
451	C₁₃×C₂²⋊C₄	—	2	2	no	—
452	C₁₃×C₂²⋊C₄	—	2	2	no	—
453	C₁₃×C₂²⋊C₄	—	2	2	no	—
454	C₁₃×C₂²⋊C₄	—	2	2	no	—
455	C₁₃×C₂²⋊C₄	—	2	1	no	—
456	C₁₃×C₂²⋊C₄	—	2	1	no	—
457	C₁₃×C₂²⋊C₄	—	2	1	no	—
458	C₁₃×C₂²⋊C₄	—	2	1	no	—
459	C₁₃×C₂²⋊C₄	—	2	1	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	1	no	—
466	C₁₃×C₂²⋊C₄	—	2	1	no	—
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	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	1	no	—
475	C₁₃×C₂²⋊C₄	—	2	1	no	—
476	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
477	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
478	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
479	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
480	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
481	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
482	C₄²×C₁₃	—	2	1	no	—
483	C₄²×C₁₃	—	2	1	no	—
484	C₄²×C₁₃	—	2	2	no	—
485	C₄²×C₁₃	—	2	2	no	—
486	C₄²×C₁₃	—	2	2	no	—
487	C₄²×C₁₃	—	2	2	no	—
488	C₄²×C₁₃	—	2	1	no	—
489	C₄²×C₁₃	—	2	2	no	—
490	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
491	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
497	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
500	#3514	C₂×C₁₃	1	1	yes	characteristic
501	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
502	#3377	C₂×C₁₃	1	2	yes	complemented
503	#3371	C₂×C₁₃	1	2	yes	complemented
504	#3313	C₂×C₁₃	1	2	yes	complemented
505	#3312	C₂×C₁₃	1	2	yes	complemented
506	#3311	C₂×C₁₃	1	2	yes	complemented
507	#3310	C₂×C₁₃	1	2	yes	complemented
508	#3300	C₂×C₁₃	1	2	yes	complemented
509	#3296	C₂×C₁₃	1	2	yes	complemented
510	#3240	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3240	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3238	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3216	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3215	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3215	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3181	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3181	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3172	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3140	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3135	C₂×C₁₃	1	1	yes	characteristic, complemented
521	C₂×#489	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#2970	C₂×C₁₃	1	1	yes	characteristic, complemented
523	C₂³×C₁₃	—	2	1	no	—
524	C₂³×C₁₃	—	2	1	no	—
525	C₂³×C₁₃	—	2	1	no	—
526	C₂³×C₁₃	—	4	2	no	—
527	C₂³×C₁₃	—	4	2	no	—
528	C₂³×C₁₃	—	8	1	no	—
529	C₂³×C₁₃	—	8	1	no	—
530	C₂³×C₁₃	—	8	1	no	—
531	C₂³×C₁₃	—	8	1	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	—	2	2	no	—
539	Q₈×C₁₃	—	2	2	no	—
540	Q₈×C₁₃	—	4	1	no	—
541	Q₈×C₁₃	—	4	2	no	—
542	Q₈×C₁₃	—	4	2	no	—
543	Q₈×C₁₃	—	4	2	no	—
544	Q₈×C₁₃	—	4	4	no	—
545	Q₈×C₁₃	—	8	1	no	—
546	Q₈×C₁₃	—	8	1	no	—
547	D₄×C₁₃	—	2	2	no	—
548	D₄×C₁₃	—	2	2	no	—
549	D₄×C₁₃	—	2	2	no	—
550	D₄×C₁₃	—	2	2	no	—
551	D₄×C₁₃	—	2	2	no	—
552	D₄×C₁₃	—	4	1	no	—
553	D₄×C₁₃	—	4	2	no	—
554	D₄×C₁₃	—	4	2	no	—
555	D₄×C₁₃	—	4	2	no	—
556	D₄×C₁₃	—	8	1	no	—
557	D₄×C₁₃	—	8	1	no	—
558	D₄×C₁₃	—	8	1	no	—
559	D₄×C₁₃	—	8	1	no	—
560	D₄×C₁₃	—	8	1	no	—
561	D₄×C₁₃	—	8	1	no	—
562	C₂×C₄×C₁₃	—	2	2	no	—
563	C₂×C₄×C₁₃	—	2	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	2	no	—
570	C₂×C₄×C₁₃	—	2	2	no	—
571	C₂×C₄×C₁₃	—	2	1	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	4	1	no	—
576	C₂×C₄×C₁₃	—	4	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	2	no	—
581	C₂×C₄×C₁₃	—	4	4	no	—
582	C₂×C₄×C₁₃	—	8	1	no	—
583	C₂×C₄×C₁₃	—	8	1	no	—
584	C₂×C₄×C₁₃	—	8	1	no	—
585	C₂×C₄×C₁₃	—	8	1	no	—
586	C₂×C₄×C₁₃	—	8	1	no	—
587	C₂×C₄×C₁₃	—	8	1	no	—
588	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
589	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
590	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
591	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
592	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
600	C₈×C₁₃	—	2	2	no	—
601	C₈×C₁₃	—	2	2	no	—
602	C₈×C₁₃	—	2	2	no	—
603	C₈×C₁₃	—	2	2	no	—
604	#559	C₂²×C₁₃	1	1	yes	characteristic
605	#557	—	2	1	no	—
606	#557	C₂²×C₁₃	1	2	yes	complemented
607	#556	—	2	1	no	—
608	#556	C₂²×C₁₃	1	1	yes	characteristic
609	#556	C₂²×C₁₃	1	2	yes	complemented
610	#555	—	2	1	no	—
611	#552	—	2	1	no	—
612	#552	—	2	1	no	—
613	#552	C₂²×C₁₃	1	2	yes	—
614	#552	C₂²×C₁₃	1	2	yes	complemented
615	#551	—	2	1	no	—
616	#551	—	2	1	no	—
617	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
618	#548	C₂²×C₁₃	1	1	yes	characteristic
619	#548	C₂²×C₁₃	1	1	yes	characteristic
620	#546	—	2	1	no	—
621	#546	C₂²×C₁₃	1	1	yes	characteristic
622	#546	C₂²×C₁₃	1	1	yes	characteristic
623	D₄²	C₂²×C₁₃	1	1	yes	characteristic
624	#542	—	2	1	no	—
625	#541	—	2	1	no	—
626	#541	—	2	1	no	—
627	#538	—	2	1	no	—
628	#538	—	2	1	no	—
629	#536	—	2	1	no	—
630	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
632	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	#532	C₂²×C₁₃	1	1	yes	characteristic
636	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#529	C₂²×C₁₃	1	1	yes	characteristic
638	#529	C₂²×C₁₃	1	1	yes	characteristic
639	#529	C₂²×C₁₃	1	1	yes	characteristic
640	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
641	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
642	#519	—	2	1	no	—
643	#518	—	2	1	no	—
644	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
645	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#497	C₂²×C₁₃	1	1	yes	characteristic
649	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
650	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	#491	C₂²×C₁₃	1	2	yes	complemented
652	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#490	C₂²×C₁₃	1	2	yes	—
654	#489	C₂²×C₁₃	1	2	yes	—
655	#489	C₂²×C₁₃	1	1	yes	characteristic
656	#489	C₂²×C₁₃	1	1	yes	characteristic
657	#489	C₂²×C₁₃	1	1	yes	characteristic
658	#489	C₂²×C₁₃	1	2	yes	complemented
659	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
662	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
663	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
664	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	#488	C₂²×C₁₃	1	2	yes	—
666	#488	C₂²×C₁₃	1	2	yes	complemented
667	#485	C₂²×C₁₃	1	2	yes	complemented
668	#485	C₂²×C₁₃	1	2	yes	complemented
669	#483	C₂²×C₁₃	1	2	yes	complemented
670	#482	C₂²×C₁₃	1	2	yes	—
671	#482	C₂²×C₁₃	1	2	yes	—
672	#480	C₂²×C₁₃	1	2	yes	—
673	#479	C₂²×C₁₃	1	2	yes	complemented
674	#479	C₂²×C₁₃	1	2	yes	complemented
675	#478	C₂²×C₁₃	1	2	yes	—
676	#478	C₂²×C₁₃	1	2	yes	complemented
677	#477	C₂²×C₁₃	1	2	yes	complemented
678	#476	C₂²×C₁₃	1	2	yes	complemented
679	#470	C₂²×C₁₃	1	2	yes	complemented
680	#468	C₂²×C₁₃	1	2	yes	—
681	#467	C₂²×C₁₃	1	2	yes	complemented
682	#467	C₂²×C₁₃	1	2	yes	complemented
683	#465	C₂²×C₁₃	1	2	yes	—
684	#465	C₂²×C₁₃	1	2	yes	—
685	#464	C₂²×C₁₃	1	2	yes	—
686	#464	C₂²×C₁₃	1	2	yes	—
687	#464	C₂²×C₁₃	1	2	yes	complemented
688	#464	C₂²×C₁₃	1	2	yes	complemented
689	#462	C₂²×C₁₃	1	2	yes	complemented
690	#460	C₂²×C₁₃	1	2	yes	—
691	#452	C₂²×C₁₃	1	2	yes	complemented
692	#452	C₂²×C₁₃	1	2	yes	complemented
693	#451	C₂²×C₁₃	1	2	yes	complemented
694	#451	C₂²×C₁₃	1	2	yes	complemented
695	#450	C₂²×C₁₃	1	2	yes	—
696	#450	C₂²×C₁₃	1	2	yes	—
697	#446	C₂²×C₁₃	1	2	yes	complemented
698	#441	C₂²×C₁₃	1	2	yes	complemented
699	#441	C₂²×C₁₃	1	2	yes	complemented
700	#440	C₂²×C₁₃	1	2	yes	—
701	#440	C₂²×C₁₃	1	2	yes	complemented
702	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
703	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
704	#435	C₂²×C₁₃	1	2	yes	—
705	#435	C₂²×C₁₃	1	2	yes	complemented
706	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
707	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
708	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
709	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	#419	C₂²×C₁₃	1	2	yes	complemented
711	#418	C₂²×C₁₃	1	2	yes	—
712	#416	C₂²×C₁₃	1	2	yes	complemented
713	#416	C₂²×C₁₃	1	2	yes	complemented
714	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
715	C₂×#102	C₂²×C₁₃	1	2	yes	—
716	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
718	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	C₂²×C₁₃	—	2	1	no	—
720	C₂²×C₁₃	—	2	1	no	—
721	C₂²×C₁₃	—	2	1	no	—
722	C₂²×C₁₃	—	2	1	no	—
723	C₂²×C₁₃	—	2	1	no	—
724	C₂²×C₁₃	—	2	1	no	—
725	C₂²×C₁₃	—	2	1	no	—
726	C₂²×C₁₃	—	2	1	no	—
727	C₂²×C₁₃	—	4	1	no	—
728	C₂²×C₁₃	—	4	1	no	—
729	C₂²×C₁₃	—	4	1	no	—
730	C₂²×C₁₃	—	4	1	no	—
731	C₂²×C₁₃	—	4	1	no	—
732	C₂²×C₁₃	—	4	1	no	—
733	C₂²×C₁₃	—	4	1	no	—
734	C₂²×C₁₃	—	4	1	no	—
735	C₂²×C₁₃	—	4	1	no	—
736	C₂²×C₁₃	—	16	2	no	—
737	C₂²×C₁₃	—	16	2	no	—
738	C₂²×C₁₃	#575	1	2	yes	—
739	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
740	C₄×C₁₃	—	2	1	no	—
741	C₄×C₁₃	—	2	1	no	—
742	C₄×C₁₃	—	2	1	no	—
743	C₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
752	C₄×C₁₃	—	4	2	no	—
753	C₄×C₁₃	—	4	1	no	—
754	C₄×C₁₃	—	4	1	no	—
755	C₄×C₁₃	—	4	1	no	—
756	C₄×C₁₃	—	4	2	no	—
757	C₄×C₁₃	—	4	1	no	—
758	C₄×C₁₃	—	4	2	no	—
759	C₄×C₁₃	—	4	2	no	—
760	C₄×C₁₃	#585	1	2	yes	—
761	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
762	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
763	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
764	C₂²×Q₈	—	2	1	no	—
765	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
766	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
767	C₂²×D₄	—	2	1	no	—
768	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
769	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
770	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
771	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
772	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
773	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
774	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
775	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
776	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
777	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
778	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
779	C₄⋊Q₈	—	2	2	no	—
780	C₄⋊Q₈	—	2	1	no	—
781	C₄⋊Q₈	—	2	1	no	—
782	C₄⋊Q₈	—	2	1	no	—
783	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	2	yes	—
788	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
789	#127	C₂³×C₁₃	1	1	yes	characteristic
790	#126	—	2	1	no	—
791	#126	—	2	1	no	—
792	#126	—	2	2	no	—
793	#126	—	2	2	no	—
794	#126	—	2	2	no	—
795	#126	—	2	2	no	—
796	#126	—	2	1	no	—
797	#126	—	2	1	no	—
798	#126	—	2	1	no	—
799	#125	—	2	2	no	—
800	#125	—	2	2	no	—
801	#125	—	2	2	no	—
802	#125	—	2	2	no	—
803	#125	—	2	1	no	—
804	#125	—	2	1	no	—
805	#125	—	2	1	no	—
806	#125	C₂³×C₁₃	1	1	yes	characteristic
807	#125	C₂³×C₁₃	1	2	yes	—
808	#125	C₂³×C₁₃	1	2	yes	—
809	#124	—	2	1	no	—
810	#124	—	2	2	no	—
811	#124	—	2	1	no	—
812	#124	—	2	1	no	—
813	#124	—	2	1	no	—
814	#124	—	2	1	no	—
815	#124	—	2	1	no	—
816	#124	—	2	1	no	—
817	#124	C₂³×C₁₃	1	1	yes	characteristic
818	#124	C₂³×C₁₃	1	1	yes	characteristic
819	#124	C₂³×C₁₃	1	1	yes	characteristic
820	#124	C₂³×C₁₃	1	1	yes	characteristic
821	#124	C₂³×C₁₃	1	1	yes	characteristic
822	#124	C₂³×C₁₃	1	1	yes	characteristic
823	#124	C₂³×C₁₃	1	1	yes	characteristic
824	#123	—	2	2	no	—
825	#123	—	2	2	no	—
826	#123	—	2	1	no	—
827	#123	—	2	1	no	—
828	#123	—	2	1	no	—
829	#123	—	2	1	no	—
830	#123	—	2	1	no	—
831	#123	—	2	1	no	—
832	#123	—	2	1	no	—
833	C₂²⋊Q₈	—	2	1	no	—
834	C₂²⋊Q₈	—	2	1	no	—
835	C₂²⋊Q₈	—	2	1	no	—
836	C₂²⋊Q₈	—	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	C₂³×C₁₃	1	1	yes	characteristic
846	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
847	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
848	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
849	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
850	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
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	C₂³×C₁₃	1	1	yes	characteristic
859	#121	C₂³×C₁₃	1	1	yes	characteristic
860	#121	C₂³×C₁₃	1	1	yes	characteristic
861	#120	—	2	1	no	—
862	#120	—	2	1	no	—
863	#120	—	2	1	no	—
864	#120	—	2	1	no	—
865	C₄×Q₈	—	2	2	no	—
866	C₄×Q₈	—	2	2	no	—
867	C₄×Q₈	—	2	1	no	—
868	C₄×Q₈	—	2	1	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	—	2	1	no	—
874	C₄×Q₈	D₄×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	1	yes	characteristic
878	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
879	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
880	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
881	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
882	C₄×D₄	—	2	1	no	—
883	C₄×D₄	—	2	1	no	—
884	C₄×D₄	—	2	1	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	D₄×C₁₃	1	1	yes	characteristic
892	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
893	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
894	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
895	C₄×D₄	C₂³×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	1	yes	characteristic
900	#117	—	2	1	no	—
901	#117	—	2	1	no	—
902	#117	—	2	1	no	—
903	#117	—	2	1	no	—
904	#117	—	2	2	no	—
905	#117	—	2	2	no	—
906	#117	—	2	1	no	—
907	#117	—	2	1	no	—
908	#117	—	2	1	no	—
909	#117	D₄×C₁₃	1	1	yes	characteristic
910	#117	D₄×C₁₃	1	1	yes	characteristic
911	#117	D₄×C₁₃	1	1	yes	characteristic
912	#117	C₂³×C₁₃	1	2	yes	—
913	#117	C₂³×C₁₃	1	2	yes	—
914	C₂×C₄⋊C₄	—	2	1	no	—
915	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
916	C₂×C₂²⋊C₄	—	2	1	no	—
917	C₂×C₂²⋊C₄	—	2	1	no	—
918	C₂×C₂²⋊C₄	—	2	1	no	—
919	C₂×C₂²⋊C₄	—	2	1	no	—
920	C₂×C₂²⋊C₄	—	2	1	no	—
921	C₂×C₂²⋊C₄	—	2	1	no	—
922	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
923	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
924	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
925	#107	C₂³×C₁₃	1	2	yes	—
926	#107	C₂³×C₁₃	1	2	yes	—
927	#107	C₂³×C₁₃	1	2	yes	—
928	#106	C₂³×C₁₃	1	2	yes	—
929	#106	C₂³×C₁₃	1	2	yes	—
930	#106	C₂³×C₁₃	1	2	yes	—
931	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
932	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
933	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
934	#103	C₂³×C₁₃	1	2	yes	—
935	#103	C₂³×C₁₃	1	2	yes	—
936	#103	C₂³×C₁₃	1	2	yes	—
937	#103	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	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
955	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
956	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
957	#97	C₂³×C₁₃	1	1	yes	characteristic
958	#97	C₂³×C₁₃	1	1	yes	characteristic
959	#97	C₂³×C₁₃	1	1	yes	characteristic
960	#97	C₂³×C₁₃	1	2	yes	—
961	#97	C₂³×C₁₃	1	2	yes	—
962	#97	C₂³×C₁₃	1	1	yes	characteristic
963	C₄×C₈	C₂³×C₁₃	1	2	yes	—
964	C₂×C₁₃	—	2	2	no	—
965	C₂×C₁₃	—	4	1	no	—
966	C₂×C₁₃	—	4	1	no	—
967	C₂×C₁₃	—	8	1	no	—
968	C₂×C₁₃	—	8	1	no	—
969	C₂×C₁₃	—	8	1	no	—
970	C₂×C₁₃	#3500	1	1	yes	characteristic
971	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
972	C₂×C₁₃	#3586	1	1	yes	characteristic
973	C₂⁴	—	2	1	no	—
974	C₂⁴	—	2	1	no	—
975	#41	—	4	2	no	—
976	#41	—	4	2	no	—
977	#41	—	4	2	no	—
978	C₂×Q₈	—	2	1	no	—
979	C₂×Q₈	—	2	1	no	—
980	C₂×Q₈	—	2	1	no	—
981	C₂×Q₈	—	2	2	no	—
982	C₂×Q₈	—	2	1	no	—
983	C₂×Q₈	—	2	1	no	—
984	C₂×Q₈	—	4	4	no	—
985	C₂×Q₈	—	4	2	no	—
986	C₂×Q₈	—	4	2	no	—
987	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
988	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
989	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
990	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
991	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
992	C₂×D₄	—	2	1	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	2	1	no	—
995	C₂×D₄	—	2	1	no	—
996	C₂×D₄	—	2	1	no	—
997	C₂×D₄	—	2	1	no	—
998	C₂×D₄	—	2	1	no	—
999	C₂×D₄	—	2	1	no	—
1000	C₂×D₄	—	2	1	no	—
1001	C₂×D₄	—	4	2	no	—
1002	C₂×D₄	—	4	2	no	—
1003	C₂×D₄	—	4	4	no	—
1004	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1005	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1006	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1007	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1008	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1009	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	1	no	—
1016	C₂²×C₄	—	2	1	no	—
1017	C₂²×C₄	—	2	1	no	—
1018	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1019	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1020	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1021	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1022	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1023	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1024	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1025	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1026	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1027	Q₁₆	—	4	2	no	—
1028	Q₁₆	—	4	2	no	—
1029	Q₁₆	—	4	2	no	—
1030	SD₁₆	—	4	2	no	—
1031	SD₁₆	—	4	2	no	—
1032	SD₁₆	—	4	2	no	—
1033	M₁₆	—	4	2	no	—
1034	C₂×C₈	—	4	2	no	—
1035	C₂×C₈	—	4	2	no	—
1036	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1037	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1038	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1039	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	2	2	no	—
1043	C₄⋊C₄	—	2	2	no	—
1044	C₄⋊C₄	—	2	1	no	—
1045	C₄⋊C₄	—	2	1	no	—
1046	C₄⋊C₄	—	2	1	no	—
1047	C₄⋊C₄	—	2	1	no	—
1048	C₄⋊C₄	—	2	1	no	—
1049	C₄⋊C₄	—	2	1	no	—
1050	C₄⋊C₄	—	2	1	no	—
1051	C₄⋊C₄	—	2	2	no	—
1052	C₄⋊C₄	—	2	2	no	—
1053	C₄⋊C₄	—	2	2	no	—
1054	C₄⋊C₄	—	2	2	no	—
1055	C₄⋊C₄	—	2	1	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	—	2	1	no	—
1058	C₄⋊C₄	—	2	2	no	—
1059	C₄⋊C₄	—	2	2	no	—
1060	C₄⋊C₄	—	2	2	no	—
1061	C₄⋊C₄	—	2	1	no	—
1062	C₄⋊C₄	—	2	1	no	—
1063	C₄⋊C₄	—	2	1	no	—
1064	C₄⋊C₄	—	2	2	no	—
1065	C₄⋊C₄	—	2	2	no	—
1066	C₄⋊C₄	—	2	2	no	—
1067	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1068	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1069	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1070	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1071	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1072	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1073	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1074	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1075	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1076	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1077	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1078	C₂²⋊C₄	—	2	1	no	—
1079	C₂²⋊C₄	—	2	1	no	—
1080	C₂²⋊C₄	—	2	2	no	—
1081	C₂²⋊C₄	—	2	2	no	—
1082	C₂²⋊C₄	—	2	2	no	—
1083	C₂²⋊C₄	—	2	2	no	—
1084	C₂²⋊C₄	—	2	2	no	—
1085	C₂²⋊C₄	—	2	1	no	—
1086	C₂²⋊C₄	—	2	1	no	—
1087	C₂²⋊C₄	—	2	1	no	—
1088	C₂²⋊C₄	—	2	1	no	—
1089	C₂²⋊C₄	—	2	1	no	—
1090	C₂²⋊C₄	—	2	1	no	—
1091	C₂²⋊C₄	—	2	1	no	—
1092	C₂²⋊C₄	—	2	1	no	—
1093	C₂²⋊C₄	—	2	1	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	1	no	—
1100	C₂²⋊C₄	—	2	1	no	—
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	1	no	—
1103	C₂²⋊C₄	—	2	1	no	—
1104	C₂²⋊C₄	—	2	1	no	—
1105	C₂²⋊C₄	—	2	1	no	—
1106	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1107	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1108	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1109	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1110	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1111	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1112	C₄²	—	2	1	no	—
1113	C₄²	—	2	1	no	—
1114	C₄²	—	2	2	no	—
1115	C₄²	—	2	2	no	—
1116	C₄²	—	2	2	no	—
1117	C₄²	—	2	2	no	—
1118	C₄²	—	2	1	no	—
1119	C₄²	—	2	2	no	—
1120	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1121	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1122	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1123	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1124	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1125	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1126	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1127	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1128	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1129	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1130	C₁₃	#62585	1	1	yes	characteristic, direct product factor, Sylow
1131	C₂³	—	2	1	no	—
1132	C₂³	—	2	1	no	—
1133	C₂³	—	2	1	no	—
1134	C₂³	—	4	2	no	—
1135	C₂³	—	4	2	no	—
1136	C₂³	—	8	1	no	—
1137	C₂³	—	8	1	no	—
1138	C₂³	—	8	1	no	—
1139	C₂³	—	8	1	no	—
1140	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1141	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1142	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1143	Q₈	—	2	2	no	—
1144	Q₈	—	2	2	no	—
1145	Q₈	—	2	2	no	—
1146	Q₈	—	2	2	no	—
1147	Q₈	—	2	2	no	—
1148	Q₈	—	4	1	no	—
1149	Q₈	—	4	2	no	—
1150	Q₈	—	4	2	no	—
1151	Q₈	—	4	4	no	—
1152	Q₈	—	4	2	no	—
1153	Q₈	—	8	1	no	—
1154	Q₈	—	8	1	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	—	4	1	no	—
1161	D₄	—	4	2	no	—
1162	D₄	—	4	2	no	—
1163	D₄	—	4	2	no	—
1164	D₄	—	8	1	no	—
1165	D₄	—	8	1	no	—
1166	D₄	—	8	1	no	—
1167	D₄	—	8	1	no	—
1168	D₄	—	8	1	no	—
1169	D₄	—	8	1	no	—
1170	C₂×C₄	—	2	2	no	—
1171	C₂×C₄	—	2	2	no	—
1172	C₂×C₄	—	2	2	no	—
1173	C₂×C₄	—	2	2	no	—
1174	C₂×C₄	—	2	2	no	—
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	4	1	no	—
1184	C₂×C₄	—	4	1	no	—
1185	C₂×C₄	—	4	1	no	—
1186	C₂×C₄	—	4	1	no	—
1187	C₂×C₄	—	4	1	no	—
1188	C₂×C₄	—	4	2	no	—
1189	C₂×C₄	—	4	4	no	—
1190	C₂×C₄	—	8	1	no	—
1191	C₂×C₄	—	8	1	no	—
1192	C₂×C₄	—	8	1	no	—
1193	C₂×C₄	—	8	1	no	—
1194	C₂×C₄	—	8	1	no	—
1195	C₂×C₄	—	8	1	no	—
1196	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1197	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1198	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1199	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1200	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1201	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1202	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1203	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1204	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1205	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1206	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1207	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1208	C₈	—	2	2	no	—
1209	C₈	—	2	2	no	—
1210	C₈	—	2	2	no	—
1211	C₈	—	2	2	no	—
1212	C₂²	—	2	1	no	—
1213	C₂²	—	2	1	no	—
1214	C₂²	—	2	1	no	—
1215	C₂²	—	2	1	no	—
1216	C₂²	—	2	1	no	—
1217	C₂²	—	2	1	no	—
1218	C₂²	—	2	1	no	—
1219	C₂²	—	2	1	no	—
1220	C₂²	—	4	1	no	—
1221	C₂²	—	4	1	no	—
1222	C₂²	—	4	1	no	—
1223	C₂²	—	4	1	no	—
1224	C₂²	—	4	1	no	—
1225	C₂²	—	4	1	no	—
1226	C₂²	—	4	1	no	—
1227	C₂²	—	4	1	no	—
1228	C₂²	—	4	1	no	—
1229	C₂²	—	16	2	no	—
1230	C₂²	—	16	2	no	—
1231	C₂²	C₁₃×#575	1	2	yes	—
1232	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1233	C₄	—	2	1	no	—
1234	C₄	—	2	1	no	—
1235	C₄	—	2	1	no	—
1236	C₄	—	2	1	no	—
1237	C₄	—	2	1	no	—
1238	C₄	—	2	1	no	—
1239	C₄	—	2	1	no	—
1240	C₄	—	2	1	no	—
1241	C₄	—	2	1	no	—
1242	C₄	—	2	1	no	—
1243	C₄	—	2	1	no	—
1244	C₄	—	4	1	no	—
1245	C₄	—	4	2	no	—
1246	C₄	—	4	2	no	—
1247	C₄	—	4	1	no	—
1248	C₄	—	4	2	no	—
1249	C₄	—	4	1	no	—
1250	C₄	—	4	1	no	—
1251	C₄	—	4	1	no	—
1252	C₄	—	4	2	no	—
1253	C₄	C₁₃×#585	1	2	yes	—
1254	C₂	—	2	2	no	—
1255	C₂	—	4	1	no	—
1256	C₂	—	4	1	no	—
1257	C₂	—	8	1	no	—
1258	C₂	—	8	1	no	—
1259	C₂	—	8	1	no	—
1260	C₂	C₁₃×#3500	1	1	yes	characteristic
1261	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1262	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3514	C₂
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
2. C₁₃×#3509	C₂	semidirect
3. C₁₃×#3377	C₂	semidirect
4. C₁₃×#3371	C₂	semidirect
5. C₁₃×#3313	C₂	semidirect
6. C₁₃×#3312	C₂	semidirect
7. C₁₃×#3311	C₂	semidirect
8. C₁₃×#3310	C₂	semidirect
9. C₁₃×#3300	C₂	semidirect
10. C₁₃×#3296	C₂	semidirect
11. C₁₃×#3240	C₂	semidirect
12. C₁₃×#3240	C₂	semidirect
13. C₁₃×#3238	C₂	semidirect
14. C₁₃×#3216	C₂	semidirect
15. C₁₃×#3215	C₂	semidirect
16. C₁₃×#3215	C₂	semidirect
17. C₁₃×#3181	C₂	semidirect
18. C₁₃×#3181	C₂	semidirect
19. C₁₃×#3172	C₂	semidirect
20. C₁₃×#3140	C₂	semidirect
21. C₁₃×#3135	C₂	semidirect
22. C₂×C₁₃×#489	C₂	semidirect
23. C₁₃×#2970	C₂	semidirect
26. C₁₃×#557	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
34. C₁₃×#552	C₂²	semidirect
50. C₁₃×#533	C₂²	semidirect
51. C₁₃×#533	C₂²	semidirect
52. C₁₃×#533	C₂²	semidirect
53. C₁₃×#533	C₂²	semidirect
54. C₁₃×#533	C₂²	semidirect
56. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
65. C₁₃×#501	C₂²	semidirect
66. C₁₃×#501	C₂²	semidirect
67. C₁₃×#501	C₂²	semidirect
69. C₁₃×#497	C₂²	semidirect
70. C₁₃×#497	C₂²	semidirect
71. C₁₃×#491	C₂²	semidirect
72. C₁₃×#491	C₂²	semidirect
78. C₁₃×#489	C₂²	semidirect
79. C₁₃×#489	C₂²	semidirect
80. C₁₃×#489	C₂²	semidirect
81. C₁₃×#489	C₂²	semidirect
82. C₁₃×#489	C₂²	semidirect
83. C₁₃×#489	C₂²	semidirect
84. C₁₃×#489	C₂²	semidirect
86. C₁₃×#488	C₂²	semidirect
87. C₁₃×#485	C₂²	semidirect
88. C₁₃×#485	C₂²	semidirect
89. C₁₃×#483	C₂²	semidirect
93. C₁₃×#479	C₂²	semidirect
94. C₁₃×#479	C₂²	semidirect
96. C₁₃×#478	C₂²	semidirect
97. C₁₃×#477	C₂²	semidirect
98. C₁₃×#476	C₂²	semidirect
99. C₁₃×#470	C₂²	semidirect
101. C₁₃×#467	C₂²	semidirect
102. C₁₃×#467	C₂²	semidirect
107. C₁₃×#464	C₂²	semidirect
108. C₁₃×#464	C₂²	semidirect
109. C₁₃×#462	C₂²	semidirect
111. C₁₃×#452	C₂²	semidirect
112. C₁₃×#452	C₂²	semidirect
113. C₁₃×#451	C₂²	semidirect
114. C₁₃×#451	C₂²	semidirect
117. C₁₃×#446	C₂²	semidirect
118. C₁₃×#441	C₂²	semidirect
119. C₁₃×#441	C₂²	semidirect
121. C₁₃×#440	C₂²	semidirect
122. C₄×C₁₃×Q₁₆	C₂²	semidirect
123. C₄×C₁₃×SD₁₆	C₂²	semidirect
125. C₁₃×#435	C₂²	semidirect
126. C₈×D₄×C₁₃	C₂²	semidirect
127. C₁₃×#432	C₂²	semidirect
128. C₁₃×#432	C₂²	semidirect
129. C₁₃×#432	C₂²	semidirect
130. C₁₃×#419	C₂²	semidirect
132. C₁₃×#416	C₂²	semidirect
133. C₁₃×#416	C₂²	semidirect
134. C₂×C₁₃×#103	C₂²	semidirect
136. C₄×C₁₃×M₁₆	C₂²	semidirect
137. C₂×C₁₃×#97	C₂²	semidirect
138. C₂×C₁₃×#97	C₂²	semidirect
342. #62585	C₁₃	direct (N × H)
501. #3509	C₂×C₁₃	semidirect
502. #3377	C₂×C₁₃	semidirect
503. #3371	C₂×C₁₃	semidirect
504. #3313	C₂×C₁₃	semidirect
505. #3312	C₂×C₁₃	semidirect
506. #3311	C₂×C₁₃	semidirect
507. #3310	C₂×C₁₃	semidirect
508. #3300	C₂×C₁₃	semidirect
509. #3296	C₂×C₁₃	semidirect
510. #3240	C₂×C₁₃	semidirect
511. #3240	C₂×C₁₃	semidirect
512. #3238	C₂×C₁₃	semidirect
513. #3216	C₂×C₁₃	semidirect
514. #3215	C₂×C₁₃	semidirect
515. #3215	C₂×C₁₃	semidirect
516. #3181	C₂×C₁₃	semidirect
517. #3181	C₂×C₁₃	semidirect
518. #3172	C₂×C₁₃	semidirect
519. #3140	C₂×C₁₃	semidirect
520. #3135	C₂×C₁₃	semidirect
521. C₂×#489	C₂×C₁₃	semidirect
522. #2970	C₂×C₁₃	semidirect
606. #557	C₂²×C₁₃	semidirect
609. #556	C₂²×C₁₃	semidirect
614. #552	C₂²×C₁₃	semidirect
630. #533	C₂²×C₁₃	semidirect
631. #533	C₂²×C₁₃	semidirect
632. #533	C₂²×C₁₃	semidirect
633. #533	C₂²×C₁₃	semidirect
634. #533	C₂²×C₁₃	semidirect
636. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
645. #501	C₂²×C₁₃	semidirect
646. #501	C₂²×C₁₃	semidirect
647. #501	C₂²×C₁₃	semidirect
649. #497	C₂²×C₁₃	semidirect
650. #497	C₂²×C₁₃	semidirect
651. #491	C₂²×C₁₃	semidirect
652. #491	C₂²×C₁₃	semidirect
658. #489	C₂²×C₁₃	semidirect
659. #489	C₂²×C₁₃	semidirect
660. #489	C₂²×C₁₃	semidirect
661. #489	C₂²×C₁₃	semidirect
662. #489	C₂²×C₁₃	semidirect
663. #489	C₂²×C₁₃	semidirect
664. #489	C₂²×C₁₃	semidirect
666. #488	C₂²×C₁₃	semidirect
667. #485	C₂²×C₁₃	semidirect
668. #485	C₂²×C₁₃	semidirect
669. #483	C₂²×C₁₃	semidirect
673. #479	C₂²×C₁₃	semidirect
674. #479	C₂²×C₁₃	semidirect
676. #478	C₂²×C₁₃	semidirect
677. #477	C₂²×C₁₃	semidirect
678. #476	C₂²×C₁₃	semidirect
679. #470	C₂²×C₁₃	semidirect
681. #467	C₂²×C₁₃	semidirect
682. #467	C₂²×C₁₃	semidirect
687. #464	C₂²×C₁₃	semidirect
688. #464	C₂²×C₁₃	semidirect
689. #462	C₂²×C₁₃	semidirect
691. #452	C₂²×C₁₃	semidirect
692. #452	C₂²×C₁₃	semidirect
693. #451	C₂²×C₁₃	semidirect
694. #451	C₂²×C₁₃	semidirect
697. #446	C₂²×C₁₃	semidirect
698. #441	C₂²×C₁₃	semidirect
699. #441	C₂²×C₁₃	semidirect
701. #440	C₂²×C₁₃	semidirect
702. C₄×Q₁₆	C₂²×C₁₃	semidirect
703. C₄×SD₁₆	C₂²×C₁₃	semidirect
705. #435	C₂²×C₁₃	semidirect
706. C₈×D₄	C₂²×C₁₃	semidirect
707. #432	C₂²×C₁₃	semidirect
708. #432	C₂²×C₁₃	semidirect
709. #432	C₂²×C₁₃	semidirect
710. #419	C₂²×C₁₃	semidirect
712. #416	C₂²×C₁₃	semidirect
713. #416	C₂²×C₁₃	semidirect
714. C₂×#103	C₂²×C₁₃	semidirect
716. C₄×M₁₆	C₂²×C₁₃	semidirect
717. C₂×#97	C₂²×C₁₃	semidirect
718. C₂×#97	C₂²×C₁₃	semidirect
1130. C₁₃	#62585	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×#3514	2
C₁₃×#3509	2
C₁₃×#3377	2
C₁₃×#3371	2
C₁₃×#3313	2
C₁₃×#3312	2
C₁₃×#3311	2
C₁₃×#3310	2
C₁₃×#3300	2
C₁₃×#3296	2
C₁₃×#3240	2
C₁₃×#3238	2
C₁₃×#3216	2
C₁₃×#3215	2
C₁₃×#3181	2
C₁₃×#3172	2
C₁₃×#3140	2
C₁₃×#3135	2
C₂×C₁₃×#489	2
C₁₃×#2970	2
#62585	13

Subgroups — C13×#62585 #15748924

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62585 #15748924