Subgroups — C₁₃×#61982 #15748321

Order 3328.

1842 conjugacy classes of subgroups.

The subgroup lattice has 1294 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3482	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3402	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3377	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3300	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3285	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3270	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3252	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3249	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3216	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3112	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#462	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2990	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	—
25	C₂×C₁₃×#135	C₂²	1	2	yes	—
26	C₂²×C₁₃×Q₁₆	C₂²	1	2	yes	—
27	C₁₃×#557	C₂²	1	1	yes	characteristic
28	C₁₃×#556	—	2	1	no	—
29	C₁₃×#556	C₂²	1	2	yes	—
30	C₁₃×#556	C₂²	1	1	yes	characteristic
31	C₁₃×#555	—	2	1	no	—
32	C₁₃×#554	—	2	1	no	—
33	C₁₃×#553	—	2	1	no	—
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#552	—	2	1	no	—
36	C₁₃×#552	—	2	1	no	—
37	C₁₃×#552	C₂²	1	1	yes	characteristic
38	C₁₃×#552	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
40	C₁₃×#548	C₂²	1	1	yes	characteristic
41	C₁₃×#548	C₂²	1	2	yes	—
42	C₁₃×#548	C₂²	1	1	yes	characteristic
43	C₁₃×#548	C₂²	1	2	yes	—
44	C₁₃×#547	—	2	1	no	—
45	C₁₃×#547	C₂²	1	2	yes	—
46	C₁₃×#547	C₂²	1	1	yes	characteristic
47	C₁₃×#542	—	2	1	no	—
48	C₁₃×#542	—	2	1	no	—
49	C₁₃×#537	—	2	1	no	—
50	C₁₃×#533	—	2	1	no	—
51	C₁₃×#533	C₂²	1	1	yes	characteristic
52	C₁₃×#533	C₂²	1	1	yes	characteristic
53	C₁₃×#533	C₂²	1	1	yes	characteristic
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₁₃×#532	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
58	C₁₃×#529	—	2	1	no	—
59	C₁₃×#529	—	2	1	no	—
60	C₁₃×#529	C₂²	1	1	yes	characteristic
61	C₁₃×#529	C₂²	1	1	yes	characteristic
62	C₁₃×#520	—	2	1	no	—
63	C₄×C₁₃×#41	—	2	1	no	—
64	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
65	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
66	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
67	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
68	C₁₃×#497	C₂²	1	2	yes	—
69	C₁₃×#497	C₂²	1	2	yes	—
70	C₁₃×#495	C₂²	1	2	yes	—
71	C₁₃×#491	C₂²	1	2	yes	—
72	C₁₃×#489	C₂²	1	2	yes	—
73	C₁₃×#488	C₂²	1	2	yes	—
74	C₁₃×#485	C₂²	1	2	yes	—
75	C₁₃×#484	C₂²	1	2	yes	—
76	C₁₃×#480	C₂²	1	2	yes	—
77	C₁₃×#479	C₂²	1	2	yes	—
78	C₁₃×#478	C₂²	1	2	yes	—
79	C₁₃×#477	C₂²	1	2	yes	—
80	C₁₃×#477	C₂²	1	1	yes	characteristic
81	C₁₃×#477	C₂²	1	1	yes	characteristic
82	C₁₃×#477	C₂²	1	1	yes	characteristic
83	C₁₃×#476	C₂²	1	1	yes	characteristic
84	C₁₃×#470	C₂²	1	2	yes	—
85	C₁₃×#468	C₂²	1	2	yes	—
86	C₁₃×#467	C₂²	1	2	yes	—
87	C₁₃×#467	C₂²	1	2	yes	—
88	C₁₃×#466	C₂²	1	2	yes	—
89	C₁₃×#465	C₂²	1	2	yes	—
90	C₁₃×#464	C₂²	1	2	yes	—
91	C₁₃×#464	C₂²	1	2	yes	—
92	C₁₃×#464	C₂²	1	2	yes	—
93	C₁₃×#464	C₂²	1	2	yes	—
94	C₁₃×#463	C₂²	1	2	yes	—
95	C₁₃×#463	C₂²	1	2	yes	—
96	C₁₃×#462	C₂²	1	2	yes	—
97	C₁₃×#462	C₂²	1	2	yes	—
98	C₁₃×#462	C₂²	1	1	yes	characteristic
99	C₁₃×#462	C₂²	1	1	yes	characteristic
100	C₁₃×#462	C₂²	1	2	yes	—
101	C₁₃×#462	C₂²	1	1	yes	characteristic
102	C₁₃×#462	C₂²	1	1	yes	characteristic
103	C₁₃×#462	C₂²	1	1	yes	characteristic
104	C₁₃×#462	C₂²	1	1	yes	characteristic
105	C₁₃×#461	C₂²	1	1	yes	characteristic
106	C₁₃×#461	C₂²	1	1	yes	characteristic
107	C₁₃×#460	C₂²	1	1	yes	characteristic
108	C₁₃×#460	C₂²	1	1	yes	characteristic
109	C₁₃×#460	C₂²	1	1	yes	characteristic
110	C₁₃×#459	C₂²	1	1	yes	characteristic
111	C₁₃×#452	C₂²	1	2	yes	—
112	C₁₃×#452	C₂²	1	2	yes	—
113	C₁₃×#452	C₂²	1	2	yes	—
114	C₁₃×#452	C₂²	1	2	yes	—
115	C₁₃×#451	C₂²	1	2	yes	—
116	C₁₃×#451	C₂²	1	2	yes	—
117	C₁₃×#449	C₂²	1	2	yes	—
118	C₁₃×#448	C₂²	1	2	yes	—
119	C₁₃×#448	C₂²	1	2	yes	—
120	C₁₃×#446	C₂²	1	2	yes	—
121	C₁₃×#441	C₂²	1	2	yes	—
122	C₁₃×#440	C₂²	1	2	yes	—
123	C₁₃×#440	C₂²	1	2	yes	—
124	C₁₃×#440	C₂²	1	2	yes	—
125	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
126	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
127	C₁₃×#435	C₂²	1	2	yes	—
128	C₁₃×#435	C₂²	1	2	yes	—
129	C₈×D₄×C₁₃	C₂²	1	2	yes	—
130	C₁₃×#432	C₂²	1	1	yes	characteristic
131	C₁₃×#432	C₂²	1	1	yes	characteristic
132	C₁₃×#431	C₂²	1	1	yes	characteristic
133	C₁₃×#423	C₂²	1	1	yes	characteristic
134	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
136	C₁₃×#417	C₂²	1	2	yes	—
137	C₁₃×#416	C₂²	1	2	yes	—
138	C₂×C₁₃×#103	C₂²	1	2	yes	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
142	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂×C₁₃×#41	C₂³	1	2	yes	—
145	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
146	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
147	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
148	C₁₃×#137	—	4	4	no	—
149	C₁₃×#135	—	4	4	no	—
150	C₂×C₁₃×Q₁₆	—	4	4	no	—
151	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
161	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
162	C₂×C₁₃×D₈	C₂³	1	2	yes	—
163	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
164	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
165	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	—	2	1	no	—
167	C₁₃×C₄⋊Q₈	—	2	1	no	—
168	C₁₃×C₄⋊Q₈	—	2	1	no	—
169	C₁₃×C₄⋊Q₈	—	2	1	no	—
170	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
172	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
173	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
174	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
175	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
176	C₁₃×#127	C₂³	1	1	yes	characteristic
177	C₁₃×#126	—	2	1	no	—
178	C₁₃×#126	—	2	1	no	—
179	C₁₃×#126	—	2	2	no	—
180	C₁₃×#126	—	2	2	no	—
181	C₁₃×#126	—	2	1	no	—
182	C₁₃×#126	—	2	1	no	—
183	C₁₃×#126	—	2	1	no	—
184	C₁₃×#126	—	2	1	no	—
185	C₁₃×#125	—	2	1	no	—
186	C₁₃×#125	—	2	1	no	—
187	C₁₃×#125	—	2	1	no	—
188	C₁₃×#125	—	2	1	no	—
189	C₁₃×#125	—	2	1	no	—
190	C₁₃×#125	—	2	1	no	—
191	C₁₃×#125	—	2	1	no	—
192	C₁₃×#125	C₂³	1	1	yes	characteristic
193	C₁₃×#125	C₂³	1	1	yes	characteristic
194	C₁₃×#124	—	2	1	no	—
195	C₁₃×#124	—	2	1	no	—
196	C₁₃×#124	—	2	2	no	—
197	C₁₃×#124	—	2	2	no	—
198	C₁₃×#124	—	2	1	no	—
199	C₁₃×#124	C₂³	1	1	yes	characteristic
200	C₁₃×#124	C₂³	1	2	yes	—
201	C₁₃×#124	C₂³	1	2	yes	—
202	C₁₃×#124	C₂³	1	1	yes	characteristic
203	C₁₃×#123	—	2	1	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	2	no	—
210	C₁₃×#123	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	1	no	—
212	C₁₃×C₂²⋊Q₈	—	2	2	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	2	no	—
220	C₁₃×C₂²⋊Q₈	—	2	2	no	—
221	C₁₃×C₂²⋊Q₈	—	2	1	no	—
222	C₁₃×C₂²⋊Q₈	—	2	1	no	—
223	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	2	no	—
232	C₁₃×#121	—	2	2	no	—
233	C₁₃×#121	—	2	2	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	1	no	—
236	C₁₃×#121	—	2	1	no	—
237	C₁₃×#121	—	2	1	no	—
238	C₁₃×#121	—	2	1	no	—
239	C₁₃×#121	C₂³	1	1	yes	characteristic
240	C₁₃×#121	C₂³	1	2	yes	—
241	C₁₃×#121	C₂³	1	1	yes	characteristic
242	C₄×Q₈×C₁₃	—	2	1	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	—	2	1	no	—
248	C₄×Q₈×C₁₃	—	2	1	no	—
249	C₄×Q₈×C₁₃	—	2	1	no	—
250	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₃	C₂³	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	1	yes	characteristic
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×Q₈×C₁₃	C₂³	1	1	yes	characteristic
261	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	2	no	—
270	C₄×D₄×C₁₃	—	2	2	no	—
271	C₄×D₄×C₁₃	—	2	1	no	—
272	C₄×D₄×C₁₃	—	2	1	no	—
273	C₄×D₄×C₁₃	—	2	1	no	—
274	C₄×D₄×C₁₃	—	2	1	no	—
275	C₄×D₄×C₁₃	—	2	1	no	—
276	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
277	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
278	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
279	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
280	C₄×D₄×C₁₃	C₂³	1	2	yes	—
281	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
282	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
283	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
284	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
285	C₁₃×#117	—	2	1	no	—
286	C₁₃×#117	—	2	1	no	—
287	C₁₃×#117	—	2	1	no	—
288	C₁₃×#117	—	2	1	no	—
289	C₁₃×#117	—	2	2	no	—
290	C₁₃×#117	—	2	1	no	—
291	C₁₃×#117	—	2	1	no	—
292	C₁₃×#117	—	2	1	no	—
293	C₁₃×#117	—	2	1	no	—
294	C₁₃×#117	—	2	1	no	—
295	C₁₃×#117	D₄	1	1	yes	characteristic
296	C₁₃×#117	D₄	1	1	yes	characteristic
297	C₁₃×#117	D₄	1	1	yes	characteristic
298	C₁₃×#117	C₂³	1	1	yes	characteristic
299	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
300	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
301	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
302	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
303	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
304	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₁₃	—	2	1	no	—
307	C₂×C₄²×C₁₃	—	2	1	no	—
308	C₂×C₄²×C₁₃	—	2	1	no	—
309	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
312	C₁₃×#107	C₂³	1	2	yes	—
313	C₁₃×#107	C₂³	1	2	yes	—
314	C₁₃×#107	C₂³	1	2	yes	—
315	C₁₃×#106	C₂³	1	2	yes	—
316	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
319	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
320	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
321	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
322	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
323	C₁₃×#103	C₂³	1	2	yes	—
324	C₁₃×#103	C₂³	1	2	yes	—
325	C₁₃×#103	C₂³	1	2	yes	—
326	C₁₃×#103	C₂³	1	2	yes	—
327	C₁₃×#103	C₂³	1	2	yes	—
328	C₁₃×#103	C₂³	1	2	yes	—
329	C₁₃×#103	C₂³	1	2	yes	—
330	C₁₃×#103	C₂³	1	2	yes	—
331	C₁₃×#103	C₂³	1	2	yes	—
332	C₁₃×#103	C₂³	1	2	yes	—
333	C₁₃×#103	C₂³	1	2	yes	—
334	C₁₃×#102	C₂³	1	2	yes	—
335	C₁₃×#102	C₂³	1	2	yes	—
336	C₁₃×#102	C₂³	1	2	yes	—
337	C₁₃×#102	C₂³	1	2	yes	—
338	C₁₃×#102	C₂³	1	2	yes	—
339	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
340	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
341	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
342	C₁₃×#97	C₂³	1	2	yes	—
343	C₁₃×#97	C₂³	1	2	yes	—
344	C₄×C₈×C₁₃	C₂³	1	2	yes	—
345	#61982	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
346	C₁₃×#41	—	2	2	no	—
347	C₁₃×#41	—	4	2	no	—
348	C₁₃×#41	—	4	1	no	—
349	C₁₃×#41	—	4	4	no	—
350	C₁₃×#41	—	4	2	no	—
351	C₁₃×#41	—	4	2	no	—
352	C₁₃×#41	—	4	2	no	—
353	C₁₃×#41	—	4	2	no	—
354	C₁₃×#41	—	4	4	no	—
355	C₂×Q₈×C₁₃	—	2	1	no	—
356	C₂×Q₈×C₁₃	—	2	1	no	—
357	C₂×Q₈×C₁₃	—	2	1	no	—
358	C₂×Q₈×C₁₃	—	2	1	no	—
359	C₂×Q₈×C₁₃	—	2	2	no	—
360	C₂×Q₈×C₁₃	—	2	2	no	—
361	C₂×Q₈×C₁₃	—	2	2	no	—
362	C₂×Q₈×C₁₃	—	4	1	no	—
363	C₂×Q₈×C₁₃	—	4	1	no	—
364	C₂×Q₈×C₁₃	—	4	2	no	—
365	C₂×Q₈×C₁₃	—	4	2	no	—
366	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
367	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
368	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
369	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂×D₄×C₁₃	—	2	2	no	—
373	C₂×D₄×C₁₃	—	2	1	no	—
374	C₂×D₄×C₁₃	—	2	1	no	—
375	C₂×D₄×C₁₃	—	2	1	no	—
376	C₂×D₄×C₁₃	—	2	2	no	—
377	C₂×D₄×C₁₃	—	2	2	no	—
378	C₂×D₄×C₁₃	—	2	1	no	—
379	C₂×D₄×C₁₃	—	2	1	no	—
380	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
381	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
382	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
383	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
384	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
389	C₂²×C₄×C₁₃	—	2	2	no	—
390	C₂²×C₄×C₁₃	—	2	1	no	—
391	C₂²×C₄×C₁₃	—	2	1	no	—
392	C₂²×C₄×C₁₃	—	2	1	no	—
393	C₂²×C₄×C₁₃	—	2	2	no	—
394	C₂²×C₄×C₁₃	—	2	2	no	—
395	C₂²×C₄×C₁₃	—	2	2	no	—
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	C₂×D₄	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₁₃×Q₁₆	—	2	4	no	—
406	C₁₃×Q₁₆	—	2	4	no	—
407	C₁₃×Q₁₆	—	4	2	no	—
408	C₁₃×Q₁₆	—	4	2	no	—
409	C₁₃×Q₁₆	—	4	2	no	—
410	C₁₃×Q₁₆	—	4	2	no	—
411	C₁₃×SD₁₆	—	2	4	no	—
412	C₁₃×SD₁₆	—	4	2	no	—
413	C₁₃×SD₁₆	—	4	2	no	—
414	C₁₃×SD₁₆	—	4	2	no	—
415	C₁₃×SD₁₆	—	4	2	no	—
416	C₁₃×D₈	—	4	2	no	—
417	C₁₃×M₁₆	—	4	2	no	—
418	C₂×C₈×C₁₃	—	4	2	no	—
419	C₂×C₈×C₁₃	—	4	2	no	—
420	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
421	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
422	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
423	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
424	C₁₃×C₄⋊C₄	—	2	1	no	—
425	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
431	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
439	C₁₃×C₄⋊C₄	—	2	1	no	—
440	C₁₃×C₄⋊C₄	—	2	1	no	—
441	C₁₃×C₄⋊C₄	—	2	1	no	—
442	C₁₃×C₄⋊C₄	—	2	1	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	—	2	1	no	—
447	C₁₃×C₄⋊C₄	—	2	1	no	—
448	C₁₃×C₄⋊C₄	—	2	1	no	—
449	C₁₃×C₄⋊C₄	—	2	1	no	—
450	C₁₃×C₄⋊C₄	—	2	1	no	—
451	C₁₃×C₄⋊C₄	—	2	1	no	—
452	C₁₃×C₄⋊C₄	—	2	1	no	—
453	C₁₃×C₄⋊C₄	—	2	1	no	—
454	C₁₃×C₄⋊C₄	—	2	2	no	—
455	C₁₃×C₄⋊C₄	—	2	2	no	—
456	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
457	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
458	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
459	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
460	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
461	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
462	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
463	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
464	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
465	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
466	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	no	—
469	C₁₃×C₂²⋊C₄	—	2	2	no	—
470	C₁₃×C₂²⋊C₄	—	2	2	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	1	no	—
477	C₁₃×C₂²⋊C₄	—	2	1	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	—	2	1	no	—
482	C₁₃×C₂²⋊C₄	—	2	1	no	—
483	C₁₃×C₂²⋊C₄	—	2	1	no	—
484	C₁₃×C₂²⋊C₄	—	2	2	no	—
485	C₁₃×C₂²⋊C₄	—	2	2	no	—
486	C₁₃×C₂²⋊C₄	—	2	2	no	—
487	C₁₃×C₂²⋊C₄	—	2	2	no	—
488	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
489	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
490	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
491	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
492	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
493	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
494	C₄²×C₁₃	—	2	1	no	—
495	C₄²×C₁₃	—	2	1	no	—
496	C₄²×C₁₃	—	2	1	no	—
497	C₄²×C₁₃	—	2	1	no	—
498	C₄²×C₁₃	—	2	1	no	—
499	C₄²×C₁₃	—	2	1	no	—
500	C₄²×C₁₃	—	2	1	no	—
501	C₄²×C₁₃	—	2	1	no	—
502	C₄²×C₁₃	—	2	1	no	—
503	C₄²×C₁₃	—	2	2	no	—
504	C₄²×C₁₃	—	2	2	no	—
505	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
506	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
507	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
508	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
509	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
510	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
511	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
515	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3482	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3402	C₂×C₁₃	1	2	yes	complemented
518	#3377	C₂×C₁₃	1	2	yes	complemented
519	#3315	C₂×C₁₃	1	2	yes	complemented
520	#3308	C₂×C₁₃	1	2	yes	complemented
521	#3300	C₂×C₁₃	1	2	yes	complemented
522	#3285	C₂×C₁₃	1	2	yes	complemented
523	#3270	C₂×C₁₃	1	2	yes	complemented
524	#3269	C₂×C₁₃	1	2	yes	complemented
525	#3252	C₂×C₁₃	1	1	yes	characteristic, complemented
526	#3249	C₂×C₁₃	1	1	yes	characteristic, complemented
527	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
528	#3218	C₂×C₁₃	1	1	yes	characteristic, complemented
529	#3216	C₂×C₁₃	1	1	yes	characteristic, complemented
530	#3212	C₂×C₁₃	1	1	yes	characteristic, complemented
531	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
532	#3112	C₂×C₁₃	1	1	yes	characteristic, complemented
533	#3104	C₂×C₁₃	1	1	yes	characteristic, complemented
534	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
535	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
536	C₂×#462	C₂×C₁₃	1	1	yes	characteristic, complemented
537	#2990	C₂×C₁₃	1	1	yes	characteristic, complemented
538	C₂³×C₁₃	—	2	1	no	—
539	C₂³×C₁₃	—	2	2	no	—
540	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
541	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
542	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
543	Q₈×C₁₃	—	2	1	no	—
544	Q₈×C₁₃	—	2	1	no	—
545	Q₈×C₁₃	—	2	2	no	—
546	Q₈×C₁₃	—	2	2	no	—
547	Q₈×C₁₃	—	2	1	no	—
548	Q₈×C₁₃	—	2	1	no	—
549	Q₈×C₁₃	—	2	2	no	—
550	Q₈×C₁₃	—	2	1	no	—
551	Q₈×C₁₃	—	2	2	no	—
552	Q₈×C₁₃	—	4	1	no	—
553	Q₈×C₁₃	—	4	2	no	—
554	Q₈×C₁₃	—	4	2	no	—
555	Q₈×C₁₃	—	4	2	no	—
556	Q₈×C₁₃	—	4	2	no	—
557	Q₈×C₁₃	—	8	2	no	—
558	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
559	D₄×C₁₃	—	2	2	no	—
560	D₄×C₁₃	—	2	2	no	—
561	D₄×C₁₃	—	2	1	no	—
562	D₄×C₁₃	—	2	2	no	—
563	D₄×C₁₃	—	2	1	no	—
564	D₄×C₁₃	—	2	2	no	—
565	D₄×C₁₃	—	4	1	no	—
566	D₄×C₁₃	—	4	2	no	—
567	D₄×C₁₃	—	4	2	no	—
568	D₄×C₁₃	—	4	2	no	—
569	D₄×C₁₃	—	4	4	no	—
570	D₄×C₁₃	—	4	2	no	—
571	D₄×C₁₃	—	4	2	no	—
572	D₄×C₁₃	—	8	2	no	—
573	D₄×C₁₃	—	8	2	no	—
574	C₂×C₄×C₁₃	—	2	2	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	2	no	—
577	C₂×C₄×C₁₃	—	2	2	no	—
578	C₂×C₄×C₁₃	—	2	2	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	—	2	1	no	—
586	C₂×C₄×C₁₃	—	2	1	no	—
587	C₂×C₄×C₁₃	—	2	1	no	—
588	C₂×C₄×C₁₃	—	2	1	no	—
589	C₂×C₄×C₁₃	—	2	2	no	—
590	C₂×C₄×C₁₃	—	2	1	no	—
591	C₂×C₄×C₁₃	—	2	1	no	—
592	C₂×C₄×C₁₃	—	2	2	no	—
593	C₂×C₄×C₁₃	—	2	2	no	—
594	C₂×C₄×C₁₃	—	4	1	no	—
595	C₂×C₄×C₁₃	—	4	1	no	—
596	C₂×C₄×C₁₃	—	4	2	no	—
597	C₂×C₄×C₁₃	—	4	2	no	—
598	C₂×C₄×C₁₃	—	4	2	no	—
599	C₂×C₄×C₁₃	—	4	4	no	—
600	C₂×C₄×C₁₃	—	4	2	no	—
601	C₂×C₄×C₁₃	—	4	2	no	—
602	C₂×C₄×C₁₃	—	4	2	no	—
603	C₂×C₄×C₁₃	—	4	2	no	—
604	C₂×C₄×C₁₃	—	8	2	no	—
605	C₂×C₄×C₁₃	—	8	2	no	—
606	C₂×C₄×C₁₃	—	8	2	no	—
607	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
608	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
609	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
610	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
611	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
612	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
613	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
614	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
615	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
616	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
617	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
618	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
619	C₈×C₁₃	—	2	2	no	—
620	C₈×C₁₃	—	2	2	no	—
621	C₈×C₁₃	—	2	2	no	—
622	C₈×C₁₃	—	2	2	no	—
623	C₂×#137	C₂²×C₁₃	1	2	yes	—
624	C₂×#135	C₂²×C₁₃	1	2	yes	—
625	C₂²×Q₁₆	C₂²×C₁₃	1	2	yes	—
626	#557	C₂²×C₁₃	1	1	yes	characteristic
627	#556	—	2	1	no	—
628	#556	C₂²×C₁₃	1	2	yes	—
629	#556	C₂²×C₁₃	1	1	yes	characteristic
630	#555	—	2	1	no	—
631	#554	—	2	1	no	—
632	#553	—	2	1	no	—
633	#553	—	2	1	no	—
634	#552	—	2	1	no	—
635	#552	—	2	1	no	—
636	#552	C₂²×C₁₃	1	1	yes	characteristic
637	#552	C₂²×C₁₃	1	1	yes	characteristic
638	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
639	#548	C₂²×C₁₃	1	1	yes	characteristic
640	#548	C₂²×C₁₃	1	1	yes	characteristic
641	#548	C₂²×C₁₃	1	2	yes	—
642	#548	C₂²×C₁₃	1	2	yes	—
643	#547	—	2	1	no	—
644	#547	C₂²×C₁₃	1	2	yes	—
645	#547	C₂²×C₁₃	1	1	yes	characteristic
646	#542	—	2	1	no	—
647	#542	—	2	1	no	—
648	#537	—	2	1	no	—
649	#533	—	2	1	no	—
650	#533	C₂²×C₁₃	1	1	yes	characteristic
651	#533	C₂²×C₁₃	1	1	yes	characteristic
652	#533	C₂²×C₁₃	1	1	yes	characteristic
653	#532	C₂²×C₁₃	1	1	yes	characteristic
654	#532	C₂²×C₁₃	1	1	yes	characteristic
655	#532	C₂²×C₁₃	1	1	yes	characteristic
656	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
657	#529	—	2	1	no	—
658	#529	—	2	1	no	—
659	#529	C₂²×C₁₃	1	1	yes	characteristic
660	#529	C₂²×C₁₃	1	1	yes	characteristic
661	#520	—	2	1	no	—
662	C₄×#41	—	2	1	no	—
663	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
664	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
665	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
666	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
667	#497	C₂²×C₁₃	1	2	yes	—
668	#497	C₂²×C₁₃	1	2	yes	—
669	#495	C₂²×C₁₃	1	2	yes	—
670	#491	C₂²×C₁₃	1	2	yes	—
671	#489	C₂²×C₁₃	1	2	yes	—
672	#488	C₂²×C₁₃	1	2	yes	—
673	#485	C₂²×C₁₃	1	2	yes	—
674	#484	C₂²×C₁₃	1	2	yes	—
675	#480	C₂²×C₁₃	1	2	yes	—
676	#479	C₂²×C₁₃	1	2	yes	—
677	#478	C₂²×C₁₃	1	2	yes	—
678	#477	C₂²×C₁₃	1	1	yes	characteristic
679	#477	C₂²×C₁₃	1	1	yes	characteristic
680	#477	C₂²×C₁₃	1	1	yes	characteristic
681	#477	C₂²×C₁₃	1	2	yes	—
682	#476	C₂²×C₁₃	1	1	yes	characteristic
683	#470	C₂²×C₁₃	1	2	yes	—
684	#468	C₂²×C₁₃	1	2	yes	—
685	#467	C₂²×C₁₃	1	2	yes	—
686	#467	C₂²×C₁₃	1	2	yes	—
687	#466	C₂²×C₁₃	1	2	yes	—
688	#465	C₂²×C₁₃	1	2	yes	—
689	#464	C₂²×C₁₃	1	2	yes	—
690	#464	C₂²×C₁₃	1	2	yes	—
691	#464	C₂²×C₁₃	1	2	yes	—
692	#464	C₂²×C₁₃	1	2	yes	—
693	#463	C₂²×C₁₃	1	2	yes	—
694	#463	C₂²×C₁₃	1	2	yes	—
695	#462	C₂²×C₁₃	1	1	yes	characteristic
696	#462	C₂²×C₁₃	1	1	yes	characteristic
697	#462	C₂²×C₁₃	1	1	yes	characteristic
698	#462	C₂²×C₁₃	1	2	yes	—
699	#462	C₂²×C₁₃	1	2	yes	—
700	#462	C₂²×C₁₃	1	2	yes	—
701	#462	C₂²×C₁₃	1	1	yes	characteristic
702	#462	C₂²×C₁₃	1	1	yes	characteristic
703	#462	C₂²×C₁₃	1	1	yes	characteristic
704	#461	C₂²×C₁₃	1	1	yes	characteristic
705	#461	C₂²×C₁₃	1	1	yes	characteristic
706	#460	C₂²×C₁₃	1	1	yes	characteristic
707	#460	C₂²×C₁₃	1	1	yes	characteristic
708	#460	C₂²×C₁₃	1	1	yes	characteristic
709	#459	C₂²×C₁₃	1	1	yes	characteristic
710	#452	C₂²×C₁₃	1	2	yes	—
711	#452	C₂²×C₁₃	1	2	yes	—
712	#452	C₂²×C₁₃	1	2	yes	—
713	#452	C₂²×C₁₃	1	2	yes	—
714	#451	C₂²×C₁₃	1	2	yes	—
715	#451	C₂²×C₁₃	1	2	yes	—
716	#449	C₂²×C₁₃	1	2	yes	—
717	#448	C₂²×C₁₃	1	2	yes	—
718	#448	C₂²×C₁₃	1	2	yes	—
719	#446	C₂²×C₁₃	1	2	yes	—
720	#441	C₂²×C₁₃	1	2	yes	—
721	#440	C₂²×C₁₃	1	2	yes	—
722	#440	C₂²×C₁₃	1	2	yes	—
723	#440	C₂²×C₁₃	1	2	yes	—
724	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
725	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
726	#435	C₂²×C₁₃	1	2	yes	—
727	#435	C₂²×C₁₃	1	2	yes	—
728	C₈×D₄	C₂²×C₁₃	1	2	yes	—
729	#432	C₂²×C₁₃	1	1	yes	characteristic
730	#432	C₂²×C₁₃	1	1	yes	characteristic
731	#431	C₂²×C₁₃	1	1	yes	characteristic
732	#423	C₂²×C₁₃	1	1	yes	characteristic
733	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
734	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
735	#417	C₂²×C₁₃	1	2	yes	—
736	#416	C₂²×C₁₃	1	2	yes	—
737	C₂×#103	C₂²×C₁₃	1	2	yes	—
738	C₂²×C₁₃	—	2	1	no	—
739	C₂²×C₁₃	—	2	1	no	—
740	C₂²×C₁₃	—	2	1	no	—
741	C₂²×C₁₃	—	2	1	no	—
742	C₂²×C₁₃	—	2	1	no	—
743	C₂²×C₁₃	—	2	1	no	—
744	C₂²×C₁₃	—	2	1	no	—
745	C₂²×C₁₃	—	2	1	no	—
746	C₂²×C₁₃	—	4	1	no	—
747	C₂²×C₁₃	—	4	2	no	—
748	C₂²×C₁₃	—	4	2	no	—
749	C₂²×C₁₃	—	4	1	no	—
750	C₂²×C₁₃	—	4	1	no	—
751	C₂²×C₁₃	—	4	2	no	—
752	C₂²×C₁₃	#575	1	2	yes	—
753	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
754	C₄×C₁₃	—	2	1	no	—
755	C₄×C₁₃	—	2	1	no	—
756	C₄×C₁₃	—	2	1	no	—
757	C₄×C₁₃	—	2	2	no	—
758	C₄×C₁₃	—	2	1	no	—
759	C₄×C₁₃	—	2	1	no	—
760	C₄×C₁₃	—	2	1	no	—
761	C₄×C₁₃	—	2	1	no	—
762	C₄×C₁₃	—	2	1	no	—
763	C₄×C₁₃	—	2	1	no	—
764	C₄×C₁₃	—	2	1	no	—
765	C₄×C₁₃	—	4	1	no	—
766	C₄×C₁₃	—	4	1	no	—
767	C₄×C₁₃	—	4	2	no	—
768	C₄×C₁₃	—	4	2	no	—
769	C₄×C₁₃	—	4	1	no	—
770	C₄×C₁₃	—	4	2	no	—
771	C₄×C₁₃	—	4	1	no	—
772	C₄×C₁₃	—	4	1	no	—
773	C₄×C₁₃	—	4	1	no	—
774	C₄×C₁₃	#578	1	2	yes	—
775	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
776	C₄×C₁₃	#585	1	1	yes	characteristic
777	C₂×#41	—	2	1	no	—
778	C₂×#41	—	2	1	no	—
779	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
780	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
781	C₂×#41	C₂³×C₁₃	1	2	yes	—
782	C₂×#41	C₂³×C₁₃	1	2	yes	—
783	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
784	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
785	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
786	#137	—	4	4	no	—
787	#135	—	4	4	no	—
788	C₂×Q₁₆	—	4	4	no	—
789	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
790	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
791	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
792	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
793	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
794	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
795	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
796	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
797	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
798	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
799	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
800	C₂×D₈	C₂³×C₁₃	1	2	yes	—
801	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
802	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
803	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
804	C₄⋊Q₈	—	2	1	no	—
805	C₄⋊Q₈	—	2	1	no	—
806	C₄⋊Q₈	—	2	1	no	—
807	C₄⋊Q₈	—	2	1	no	—
808	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
809	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
810	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
811	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
812	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
813	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
814	#127	C₂³×C₁₃	1	1	yes	characteristic
815	#126	—	2	1	no	—
816	#126	—	2	1	no	—
817	#126	—	2	2	no	—
818	#126	—	2	2	no	—
819	#126	—	2	1	no	—
820	#126	—	2	1	no	—
821	#126	—	2	1	no	—
822	#126	—	2	1	no	—
823	#125	—	2	1	no	—
824	#125	—	2	1	no	—
825	#125	—	2	1	no	—
826	#125	—	2	1	no	—
827	#125	—	2	1	no	—
828	#125	—	2	1	no	—
829	#125	—	2	1	no	—
830	#125	C₂³×C₁₃	1	1	yes	characteristic
831	#125	C₂³×C₁₃	1	1	yes	characteristic
832	#124	—	2	1	no	—
833	#124	—	2	1	no	—
834	#124	—	2	2	no	—
835	#124	—	2	2	no	—
836	#124	—	2	1	no	—
837	#124	C₂³×C₁₃	1	1	yes	characteristic
838	#124	C₂³×C₁₃	1	1	yes	characteristic
839	#124	C₂³×C₁₃	1	2	yes	—
840	#124	C₂³×C₁₃	1	2	yes	—
841	#123	—	2	1	no	—
842	#123	—	2	1	no	—
843	#123	—	2	1	no	—
844	#123	—	2	1	no	—
845	#123	—	2	1	no	—
846	#123	—	2	1	no	—
847	#123	—	2	2	no	—
848	#123	—	2	2	no	—
849	C₂²⋊Q₈	—	2	1	no	—
850	C₂²⋊Q₈	—	2	2	no	—
851	C₂²⋊Q₈	—	2	1	no	—
852	C₂²⋊Q₈	—	2	1	no	—
853	C₂²⋊Q₈	—	2	1	no	—
854	C₂²⋊Q₈	—	2	1	no	—
855	C₂²⋊Q₈	—	2	1	no	—
856	C₂²⋊Q₈	—	2	1	no	—
857	C₂²⋊Q₈	—	2	2	no	—
858	C₂²⋊Q₈	—	2	2	no	—
859	C₂²⋊Q₈	—	2	1	no	—
860	C₂²⋊Q₈	—	2	1	no	—
861	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
862	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
864	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
865	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
866	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
867	#121	—	2	1	no	—
868	#121	—	2	1	no	—
869	#121	—	2	2	no	—
870	#121	—	2	2	no	—
871	#121	—	2	2	no	—
872	#121	—	2	1	no	—
873	#121	—	2	1	no	—
874	#121	—	2	1	no	—
875	#121	—	2	1	no	—
876	#121	—	2	1	no	—
877	#121	C₂³×C₁₃	1	1	yes	characteristic
878	#121	C₂³×C₁₃	1	1	yes	characteristic
879	#121	C₂³×C₁₃	1	2	yes	—
880	C₄×Q₈	—	2	1	no	—
881	C₄×Q₈	—	2	1	no	—
882	C₄×Q₈	—	2	1	no	—
883	C₄×Q₈	—	2	1	no	—
884	C₄×Q₈	—	2	1	no	—
885	C₄×Q₈	—	2	1	no	—
886	C₄×Q₈	—	2	1	no	—
887	C₄×Q₈	—	2	1	no	—
888	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
889	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
890	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
891	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
892	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
893	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
894	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
895	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
896	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
897	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
898	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
899	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
900	C₄×D₄	—	2	1	no	—
901	C₄×D₄	—	2	1	no	—
902	C₄×D₄	—	2	1	no	—
903	C₄×D₄	—	2	1	no	—
904	C₄×D₄	—	2	1	no	—
905	C₄×D₄	—	2	1	no	—
906	C₄×D₄	—	2	1	no	—
907	C₄×D₄	—	2	2	no	—
908	C₄×D₄	—	2	2	no	—
909	C₄×D₄	—	2	1	no	—
910	C₄×D₄	—	2	1	no	—
911	C₄×D₄	—	2	1	no	—
912	C₄×D₄	—	2	1	no	—
913	C₄×D₄	—	2	1	no	—
914	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
915	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
916	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
917	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
918	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
919	C₄×D₄	C₂³×C₁₃	1	2	yes	—
920	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
921	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
922	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
923	#117	—	2	1	no	—
924	#117	—	2	1	no	—
925	#117	—	2	1	no	—
926	#117	—	2	1	no	—
927	#117	—	2	2	no	—
928	#117	—	2	1	no	—
929	#117	—	2	1	no	—
930	#117	—	2	1	no	—
931	#117	—	2	1	no	—
932	#117	—	2	1	no	—
933	#117	D₄×C₁₃	1	1	yes	characteristic
934	#117	D₄×C₁₃	1	1	yes	characteristic
935	#117	D₄×C₁₃	1	1	yes	characteristic
936	#117	C₂³×C₁₃	1	1	yes	characteristic
937	C₂×C₄⋊C₄	—	2	1	no	—
938	C₂×C₄⋊C₄	—	2	1	no	—
939	C₂×C₄⋊C₄	—	2	1	no	—
940	C₂×C₄⋊C₄	—	2	1	no	—
941	C₂×C₄⋊C₄	—	2	2	no	—
942	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
944	C₂×C₄²	—	2	1	no	—
945	C₂×C₄²	—	2	1	no	—
946	C₂×C₄²	—	2	1	no	—
947	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
948	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
949	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
950	#107	C₂³×C₁₃	1	2	yes	—
951	#107	C₂³×C₁₃	1	2	yes	—
952	#107	C₂³×C₁₃	1	2	yes	—
953	#106	C₂³×C₁₃	1	2	yes	—
954	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
955	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
956	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
957	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
958	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
959	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
960	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
961	#103	C₂³×C₁₃	1	2	yes	—
962	#103	C₂³×C₁₃	1	2	yes	—
963	#103	C₂³×C₁₃	1	2	yes	—
964	#103	C₂³×C₁₃	1	2	yes	—
965	#103	C₂³×C₁₃	1	2	yes	—
966	#103	C₂³×C₁₃	1	2	yes	—
967	#103	C₂³×C₁₃	1	2	yes	—
968	#103	C₂³×C₁₃	1	2	yes	—
969	#103	C₂³×C₁₃	1	2	yes	—
970	#103	C₂³×C₁₃	1	2	yes	—
971	#103	C₂³×C₁₃	1	2	yes	—
972	#102	C₂³×C₁₃	1	2	yes	—
973	#102	C₂³×C₁₃	1	2	yes	—
974	#102	C₂³×C₁₃	1	2	yes	—
975	#102	C₂³×C₁₃	1	2	yes	—
976	#102	C₂³×C₁₃	1	2	yes	—
977	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
978	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
979	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
980	#97	C₂³×C₁₃	1	2	yes	—
981	#97	C₂³×C₁₃	1	2	yes	—
982	C₄×C₈	C₂³×C₁₃	1	2	yes	—
983	C₂×C₁₃	—	2	2	no	—
984	C₂×C₁₃	—	4	1	no	—
985	C₂×C₁₃	—	4	1	no	—
986	C₂×C₁₃	—	8	1	no	—
987	C₂×C₁₃	—	8	2	no	—
988	C₂×C₁₃	#3488	1	1	yes	characteristic
989	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
990	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
991	#41	—	2	2	no	—
992	#41	—	4	2	no	—
993	#41	—	4	1	no	—
994	#41	—	4	4	no	—
995	#41	—	4	2	no	—
996	#41	—	4	2	no	—
997	#41	—	4	2	no	—
998	#41	—	4	2	no	—
999	#41	—	4	4	no	—
1000	C₂×Q₈	—	2	1	no	—
1001	C₂×Q₈	—	2	1	no	—
1002	C₂×Q₈	—	2	1	no	—
1003	C₂×Q₈	—	2	1	no	—
1004	C₂×Q₈	—	2	2	no	—
1005	C₂×Q₈	—	2	2	no	—
1006	C₂×Q₈	—	2	2	no	—
1007	C₂×Q₈	—	4	1	no	—
1008	C₂×Q₈	—	4	1	no	—
1009	C₂×Q₈	—	4	2	no	—
1010	C₂×Q₈	—	4	2	no	—
1011	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1012	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1013	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1014	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1015	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1016	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1017	C₂×D₄	—	2	2	no	—
1018	C₂×D₄	—	2	1	no	—
1019	C₂×D₄	—	2	1	no	—
1020	C₂×D₄	—	2	1	no	—
1021	C₂×D₄	—	2	2	no	—
1022	C₂×D₄	—	2	2	no	—
1023	C₂×D₄	—	2	1	no	—
1024	C₂×D₄	—	2	1	no	—
1025	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1026	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1027	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1028	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1029	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1030	C₂²×C₄	—	2	1	no	—
1031	C₂²×C₄	—	2	1	no	—
1032	C₂²×C₄	—	2	1	no	—
1033	C₂²×C₄	—	2	1	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	1	no	—
1036	C₂²×C₄	—	2	1	no	—
1037	C₂²×C₄	—	2	1	no	—
1038	C₂²×C₄	—	2	2	no	—
1039	C₂²×C₄	—	2	2	no	—
1040	C₂²×C₄	—	2	2	no	—
1041	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1042	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1043	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1050	Q₁₆	—	2	4	no	—
1051	Q₁₆	—	2	4	no	—
1052	Q₁₆	—	4	2	no	—
1053	Q₁₆	—	4	2	no	—
1054	Q₁₆	—	4	2	no	—
1055	Q₁₆	—	4	2	no	—
1056	SD₁₆	—	2	4	no	—
1057	SD₁₆	—	4	2	no	—
1058	SD₁₆	—	4	2	no	—
1059	SD₁₆	—	4	2	no	—
1060	SD₁₆	—	4	2	no	—
1061	D₈	—	4	2	no	—
1062	M₁₆	—	4	2	no	—
1063	C₂×C₈	—	4	2	no	—
1064	C₂×C₈	—	4	2	no	—
1065	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1066	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1067	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1068	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1069	C₄⋊C₄	—	2	1	no	—
1070	C₄⋊C₄	—	2	2	no	—
1071	C₄⋊C₄	—	2	1	no	—
1072	C₄⋊C₄	—	2	1	no	—
1073	C₄⋊C₄	—	2	1	no	—
1074	C₄⋊C₄	—	2	1	no	—
1075	C₄⋊C₄	—	2	2	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	—	2	1	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	1	no	—
1083	C₄⋊C₄	—	2	2	no	—
1084	C₄⋊C₄	—	2	1	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	—	2	1	no	—
1087	C₄⋊C₄	—	2	1	no	—
1088	C₄⋊C₄	—	2	1	no	—
1089	C₄⋊C₄	—	2	1	no	—
1090	C₄⋊C₄	—	2	1	no	—
1091	C₄⋊C₄	—	2	1	no	—
1092	C₄⋊C₄	—	2	1	no	—
1093	C₄⋊C₄	—	2	1	no	—
1094	C₄⋊C₄	—	2	1	no	—
1095	C₄⋊C₄	—	2	1	no	—
1096	C₄⋊C₄	—	2	1	no	—
1097	C₄⋊C₄	—	2	1	no	—
1098	C₄⋊C₄	—	2	1	no	—
1099	C₄⋊C₄	—	2	2	no	—
1100	C₄⋊C₄	—	2	2	no	—
1101	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1102	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1103	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1104	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1105	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1106	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1107	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1108	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1109	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1110	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1111	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1112	C₂²⋊C₄	—	2	1	no	—
1113	C₂²⋊C₄	—	2	1	no	—
1114	C₂²⋊C₄	—	2	2	no	—
1115	C₂²⋊C₄	—	2	2	no	—
1116	C₂²⋊C₄	—	2	1	no	—
1117	C₂²⋊C₄	—	2	1	no	—
1118	C₂²⋊C₄	—	2	1	no	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	2	no	—
1121	C₂²⋊C₄	—	2	1	no	—
1122	C₂²⋊C₄	—	2	1	no	—
1123	C₂²⋊C₄	—	2	1	no	—
1124	C₂²⋊C₄	—	2	1	no	—
1125	C₂²⋊C₄	—	2	1	no	—
1126	C₂²⋊C₄	—	2	1	no	—
1127	C₂²⋊C₄	—	2	1	no	—
1128	C₂²⋊C₄	—	2	1	no	—
1129	C₂²⋊C₄	—	2	2	no	—
1130	C₂²⋊C₄	—	2	2	no	—
1131	C₂²⋊C₄	—	2	2	no	—
1132	C₂²⋊C₄	—	2	2	no	—
1133	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1134	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1135	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1136	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1137	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1138	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1139	C₄²	—	2	1	no	—
1140	C₄²	—	2	1	no	—
1141	C₄²	—	2	1	no	—
1142	C₄²	—	2	1	no	—
1143	C₄²	—	2	1	no	—
1144	C₄²	—	2	1	no	—
1145	C₄²	—	2	1	no	—
1146	C₄²	—	2	1	no	—
1147	C₄²	—	2	1	no	—
1148	C₄²	—	2	2	no	—
1149	C₄²	—	2	2	no	—
1150	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1151	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1152	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1153	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1154	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1155	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1156	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1157	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1158	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1159	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1160	C₁₃	#61982	1	1	yes	characteristic, direct product factor, Sylow
1161	C₂³	—	2	1	no	—
1162	C₂³	—	2	2	no	—
1163	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1164	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1165	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1166	Q₈	—	2	1	no	—
1167	Q₈	—	2	1	no	—
1168	Q₈	—	2	2	no	—
1169	Q₈	—	2	2	no	—
1170	Q₈	—	2	1	no	—
1171	Q₈	—	2	1	no	—
1172	Q₈	—	2	2	no	—
1173	Q₈	—	2	1	no	—
1174	Q₈	—	2	2	no	—
1175	Q₈	—	4	1	no	—
1176	Q₈	—	4	2	no	—
1177	Q₈	—	4	2	no	—
1178	Q₈	—	4	2	no	—
1179	Q₈	—	4	2	no	—
1180	Q₈	—	8	2	no	—
1181	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1182	D₄	—	2	2	no	—
1183	D₄	—	2	2	no	—
1184	D₄	—	2	1	no	—
1185	D₄	—	2	2	no	—
1186	D₄	—	2	1	no	—
1187	D₄	—	2	2	no	—
1188	D₄	—	4	1	no	—
1189	D₄	—	4	2	no	—
1190	D₄	—	4	2	no	—
1191	D₄	—	4	2	no	—
1192	D₄	—	4	4	no	—
1193	D₄	—	4	2	no	—
1194	D₄	—	4	2	no	—
1195	D₄	—	8	2	no	—
1196	D₄	—	8	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	2	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	4	1	no	—
1218	C₂×C₄	—	4	1	no	—
1219	C₂×C₄	—	4	2	no	—
1220	C₂×C₄	—	4	2	no	—
1221	C₂×C₄	—	4	2	no	—
1222	C₂×C₄	—	4	4	no	—
1223	C₂×C₄	—	4	2	no	—
1224	C₂×C₄	—	4	2	no	—
1225	C₂×C₄	—	4	2	no	—
1226	C₂×C₄	—	4	2	no	—
1227	C₂×C₄	—	8	2	no	—
1228	C₂×C₄	—	8	2	no	—
1229	C₂×C₄	—	8	2	no	—
1230	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1231	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1232	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1233	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1234	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1235	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1236	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1237	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1238	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1239	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1240	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1241	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1242	C₈	—	2	2	no	—
1243	C₈	—	2	2	no	—
1244	C₈	—	2	2	no	—
1245	C₈	—	2	2	no	—
1246	C₂²	—	2	1	no	—
1247	C₂²	—	2	1	no	—
1248	C₂²	—	2	1	no	—
1249	C₂²	—	2	1	no	—
1250	C₂²	—	2	1	no	—
1251	C₂²	—	2	1	no	—
1252	C₂²	—	2	1	no	—
1253	C₂²	—	2	1	no	—
1254	C₂²	—	4	2	no	—
1255	C₂²	—	4	1	no	—
1256	C₂²	—	4	1	no	—
1257	C₂²	—	4	2	no	—
1258	C₂²	—	4	1	no	—
1259	C₂²	—	4	2	no	—
1260	C₂²	C₁₃×#575	1	2	yes	—
1261	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1262	C₄	—	2	1	no	—
1263	C₄	—	2	1	no	—
1264	C₄	—	2	1	no	—
1265	C₄	—	2	1	no	—
1266	C₄	—	2	1	no	—
1267	C₄	—	2	1	no	—
1268	C₄	—	2	1	no	—
1269	C₄	—	2	1	no	—
1270	C₄	—	2	1	no	—
1271	C₄	—	2	1	no	—
1272	C₄	—	2	2	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	4	2	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	1	no	—
1278	C₄	—	4	1	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	2	no	—
1281	C₄	—	4	2	no	—
1282	C₄	C₁₃×#578	1	2	yes	—
1283	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1284	C₄	C₁₃×#585	1	1	yes	characteristic
1285	C₂	—	2	2	no	—
1286	C₂	—	4	1	no	—
1287	C₂	—	4	1	no	—
1288	C₂	—	8	1	no	—
1289	C₂	—	8	2	no	—
1290	C₂	C₁₃×#3488	1	1	yes	characteristic
1291	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1292	C₂	C₂×C₁₃×#578	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×#3511	C₂	semidirect
2. C₁₃×#3482	C₂	semidirect
3. C₁₃×#3402	C₂	semidirect
4. C₁₃×#3377	C₂	semidirect
5. C₁₃×#3315	C₂	semidirect
6. C₁₃×#3308	C₂	semidirect
7. C₁₃×#3300	C₂	semidirect
8. C₁₃×#3285	C₂	semidirect
9. C₁₃×#3270	C₂	semidirect
10. C₁₃×#3269	C₂	semidirect
11. C₁₃×#3252	C₂	semidirect
12. C₁₃×#3249	C₂	semidirect
13. C₁₃×#3247	C₂	semidirect
14. C₁₃×#3218	C₂	semidirect
15. C₁₃×#3216	C₂	semidirect
16. C₁₃×#3212	C₂	semidirect
17. C₁₃×#3116	C₂	semidirect
18. C₁₃×#3112	C₂	semidirect
19. C₁₃×#3104	C₂	semidirect
20. C₁₃×#3037	C₂	semidirect
21. C₁₃×#3035	C₂	semidirect
22. C₂×C₁₃×#462	C₂	semidirect
23. C₁₃×#2990	C₂	semidirect
345. #61982	C₁₃	direct (N × H)
515. #3511	C₂×C₁₃	semidirect
516. #3482	C₂×C₁₃	semidirect
517. #3402	C₂×C₁₃	semidirect
518. #3377	C₂×C₁₃	semidirect
519. #3315	C₂×C₁₃	semidirect
520. #3308	C₂×C₁₃	semidirect
521. #3300	C₂×C₁₃	semidirect
522. #3285	C₂×C₁₃	semidirect
523. #3270	C₂×C₁₃	semidirect
524. #3269	C₂×C₁₃	semidirect
525. #3252	C₂×C₁₃	semidirect
526. #3249	C₂×C₁₃	semidirect
527. #3247	C₂×C₁₃	semidirect
528. #3218	C₂×C₁₃	semidirect
529. #3216	C₂×C₁₃	semidirect
530. #3212	C₂×C₁₃	semidirect
531. #3116	C₂×C₁₃	semidirect
532. #3112	C₂×C₁₃	semidirect
533. #3104	C₂×C₁₃	semidirect
534. #3037	C₂×C₁₃	semidirect
535. #3035	C₂×C₁₃	semidirect
536. C₂×#462	C₂×C₁₃	semidirect
537. #2990	C₂×C₁₃	semidirect
1160. C₁₃	#61982	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×#3511	2
C₁₃×#3482	2
C₁₃×#3402	2
C₁₃×#3377	2
C₁₃×#3315	2
C₁₃×#3308	2
C₁₃×#3300	2
C₁₃×#3285	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3252	2
C₁₃×#3249	2
C₁₃×#3247	2
C₁₃×#3218	2
C₁₃×#3216	2
C₁₃×#3212	2
C₁₃×#3116	2
C₁₃×#3112	2
C₁₃×#3104	2
C₁₃×#3037	2
C₁₃×#3035	2
C₂×C₁₃×#462	2
C₁₃×#2990	2
#61982	13

Subgroups — C13×#61982 #15748321

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61982 #15748321