Subgroups — C₁₃×#62051 #15748390

Order 3328.

2020 conjugacy classes of subgroups.

The subgroup lattice has 1244 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3543	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3519	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3391	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3297	C₂	1	2	yes	maximal, complemented
11	D₄×C₁₃×D₈	C₂	1	2	yes	maximal, complemented
12	D₄×C₁₃×D₈	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3264	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3259	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3247	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3220	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3205	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3122	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3041	C₂	1	2	yes	maximal, complemented
22	C₂×C₁₃×#459	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
25	C₂²×C₁₃×D₈	C₂²	1	2	yes	complemented
26	C₂²×C₁₃×D₈	C₂²	1	2	yes	complemented
27	C₁₃×#560	—	2	2	no	—
28	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
31	C₁₃×#553	—	2	1	no	—
32	C₁₃×#553	C₂²	1	2	yes	complemented
33	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#546	—	2	1	no	—
37	C₁₃×#546	—	2	2	no	—
38	C₁₃×#546	—	2	1	no	—
39	C₁₃×#546	C₂²	1	2	yes	complemented
40	D₄²×C₁₃	—	2	1	no	—
41	D₄²×C₁₃	C₂²	1	2	yes	complemented
42	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
43	D₄²×C₁₃	C₂²	1	2	yes	complemented
44	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#540	—	2	1	no	—
46	C₁₃×#540	C₂²	1	2	yes	complemented
47	C₁₃×#540	C₂²	1	2	yes	complemented
48	C₁₃×#538	—	2	2	no	—
49	C₁₃×#535	—	2	1	no	—
50	C₁₃×#535	C₂²	1	2	yes	complemented
51	C₁₃×#534	—	2	2	no	—
52	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#529	C₂²	1	1	yes	characteristic
55	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#525	—	2	1	no	—
57	C₂×C₁₃×#121	—	2	1	no	—
58	C₁₃×#518	C₂²	1	2	yes	complemented
59	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#496	C₂²	1	2	yes	complemented
61	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#493	C₂²	1	2	yes	complemented
63	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#490	C₂²	1	2	yes	complemented
65	C₁₃×#488	C₂²	1	2	yes	complemented
66	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#482	C₂²	1	2	yes	complemented
70	C₁₃×#482	C₂²	1	2	yes	complemented
71	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#478	C₂²	1	2	yes	complemented
73	C₁₃×#478	C₂²	1	2	yes	complemented
74	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#478	C₂²	1	2	yes	complemented
77	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#469	C₂²	1	2	yes	complemented
80	C₁₃×#469	C₂²	1	2	yes	complemented
81	C₁₃×#466	C₂²	1	2	yes	complemented
82	C₁₃×#466	C₂²	1	2	yes	complemented
83	C₁₃×#466	C₂²	1	2	yes	complemented
84	C₁₃×#465	C₂²	1	2	yes	complemented
85	C₁₃×#463	C₂²	1	2	yes	complemented
86	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#463	C₂²	1	2	yes	complemented
88	C₁₃×#463	C₂²	1	2	yes	complemented
89	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#459	C₂²	1	1	yes	characteristic
92	C₁₃×#459	C₂²	1	2	yes	complemented
93	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#459	C₂²	1	2	yes	complemented
95	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#459	C₂²	1	2	yes	complemented
97	C₁₃×#459	C₂²	1	2	yes	complemented
98	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#459	C₂²	1	2	yes	complemented
101	C₁₃×#459	C₂²	1	2	yes	complemented
102	C₁₃×#459	C₂²	1	2	yes	complemented
103	C₁₃×#459	C₂²	1	2	yes	complemented
104	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#449	C₂²	1	2	yes	complemented
106	C₁₃×#449	C₂²	1	2	yes	complemented
107	C₁₃×#447	C₂²	1	1	yes	characteristic
108	C₁₃×#447	C₂²	1	2	yes	complemented
109	C₁₃×#447	C₂²	1	2	yes	complemented
110	C₁₃×#447	C₂²	1	2	yes	complemented
111	C₁₃×#447	C₂²	1	2	yes	complemented
112	C₁₃×#447	C₂²	1	2	yes	complemented
113	C₁₃×#447	C₂²	1	2	yes	complemented
114	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#442	C₂²	1	2	yes	complemented
117	C₁₃×#442	C₂²	1	2	yes	complemented
118	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
119	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
121	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
122	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
123	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#435	C₂²	1	2	yes	complemented
126	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
127	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#433	C₂²	1	2	yes	complemented
129	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#424	C₂²	1	2	yes	complemented
131	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#418	C₂²	1	2	yes	complemented
133	C₁₃×#416	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	—	2	1	no	—
138	C₂×C₁₃×#41	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃	—	2	1	no	—
140	C₂²×D₄×C₁₃	—	2	2	no	—
141	C₂²×D₄×C₁₃	—	2	2	no	—
142	C₂²×D₄×C₁₃	—	2	1	no	—
143	C₂²×D₄×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	—	2	1	no	—
145	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
146	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
147	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
148	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
149	C₂³×C₄×C₁₃	—	2	1	no	—
150	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
151	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
154	C₂×C₁₃×D₈	—	4	4	no	—
155	C₂×C₁₃×D₈	—	4	4	no	—
156	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×D₈	C₂³	1	2	yes	—
158	C₂×C₁₃×D₈	C₂³	1	2	yes	—
159	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×D₈	C₂³	1	2	yes	—
161	C₂×C₁₃×D₈	C₂³	1	2	yes	—
162	C₂×C₁₃×D₈	C₂³	1	2	yes	—
163	C₂×C₁₃×D₈	C₂³	1	2	yes	—
164	C₂×C₁₃×D₈	C₂³	1	2	yes	—
165	C₂×C₁₃×D₈	C₂³	1	2	yes	—
166	C₂×C₁₃×D₈	C₂³	1	2	yes	—
167	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
168	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
169	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
170	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₃×#127	—	2	1	no	—
172	C₁₃×#127	—	2	1	no	—
173	C₁₃×#127	—	2	1	no	—
174	C₁₃×#127	C₂³	1	1	yes	characteristic
175	C₁₃×#127	C₂³	1	2	yes	—
176	C₁₃×#127	C₂³	1	1	yes	characteristic
177	C₁₃×#127	C₂³	1	2	yes	—
178	C₁₃×#127	C₂³	1	2	yes	—
179	C₁₃×#127	C₂³	1	1	yes	characteristic
180	C₁₃×#126	—	2	2	no	—
181	C₁₃×#126	—	2	1	no	—
182	C₁₃×#126	D₄	1	2	yes	—
183	C₁₃×#125	D₄	1	1	yes	characteristic
184	C₁₃×#125	C₂³	1	1	yes	characteristic
185	C₁₃×#125	C₂³	1	2	yes	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	—	2	2	no	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	D₄	1	1	yes	characteristic
190	C₁₃×#124	C₂³	1	1	yes	characteristic
191	C₁₃×#124	C₂³	1	2	yes	—
192	C₁₃×#123	—	2	1	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	D₄	1	2	yes	—
201	C₁₃×C₂²⋊Q₈	—	2	1	no	—
202	C₁₃×C₂²⋊Q₈	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
204	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
205	C₁₃×#121	—	2	2	no	—
206	C₁₃×#121	—	2	1	no	—
207	C₁₃×#121	—	2	1	no	—
208	C₁₃×#121	—	2	1	no	—
209	C₁₃×#121	—	2	1	no	—
210	C₁₃×#121	—	2	2	no	—
211	C₁₃×#121	—	2	2	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	—	2	2	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	1	no	—
216	C₁₃×#121	—	2	1	no	—
217	C₁₃×#121	—	2	2	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	D₄	1	1	yes	characteristic
225	C₁₃×#121	C₂³	1	1	yes	characteristic
226	C₁₃×#121	C₂³	1	2	yes	—
227	C₁₃×#121	C₂³	1	2	yes	—
228	C₁₃×#121	C₂³	1	2	yes	—
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₁₃×#121	C₂³	1	2	yes	—
231	C₁₃×#120	—	2	2	no	—
232	C₁₃×#120	—	2	2	no	—
233	C₁₃×#120	—	2	2	no	—
234	C₁₃×#120	—	2	2	no	—
235	C₁₃×#120	—	2	2	no	—
236	C₁₃×#120	—	2	2	no	—
237	C₁₃×#120	—	2	2	no	—
238	C₁₃×#120	—	2	2	no	—
239	C₁₃×#120	—	2	2	no	—
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	1	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	2	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₃	C₂³	1	2	yes	—
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₄×D₄×C₁₃	C₂³	1	2	yes	—
257	C₄×D₄×C₁₃	C₂³	1	2	yes	—
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₁₃	C₂³	1	2	yes	—
261	C₄×D₄×C₁₃	C₂³	1	2	yes	—
262	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
263	C₁₃×#117	—	2	1	no	—
264	C₁₃×#117	—	2	1	no	—
265	C₁₃×#117	C₂³	1	2	yes	—
266	C₁₃×#117	C₂³	1	2	yes	—
267	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
271	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
272	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
273	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
274	C₁₃×#107	C₂³	1	1	yes	characteristic
275	C₁₃×#107	C₂³	1	2	yes	—
276	C₁₃×#107	C₂³	1	1	yes	characteristic
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	1	yes	characteristic
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	1	yes	characteristic
290	C₁₃×#102	C₂³	1	2	yes	—
291	C₁₃×#102	C₂³	1	2	yes	—
292	C₁₃×#102	C₂³	1	2	yes	—
293	C₁₃×#102	C₂³	1	2	yes	—
294	C₁₃×#102	C₂³	1	2	yes	—
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	1	yes	characteristic
299	C₁₃×#102	C₂³	1	1	yes	characteristic
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	1	yes	characteristic
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#62051	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	1	no	—
317	C₂⁴×C₁₃	—	2	2	no	—
318	C₂⁴×C₁₃	—	2	2	no	—
319	C₂⁴×C₁₃	—	2	2	no	—
320	C₁₃×#41	—	4	2	no	—
321	C₁₃×#41	—	4	2	no	—
322	C₁₃×#41	—	8	2	no	—
323	C₁₃×#41	—	8	2	no	—
324	C₁₃×#41	—	8	2	no	—
325	C₂×Q₈×C₁₃	—	2	1	no	—
326	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
327	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	4	no	—
330	C₂×D₄×C₁₃	—	2	1	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	1	no	—
340	C₂×D₄×C₁₃	—	2	1	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	2	no	—
345	C₂×D₄×C₁₃	—	2	1	no	—
346	C₂×D₄×C₁₃	—	2	1	no	—
347	C₂×D₄×C₁₃	—	2	2	no	—
348	C₂×D₄×C₁₃	—	2	2	no	—
349	C₂×D₄×C₁₃	—	2	2	no	—
350	C₂×D₄×C₁₃	—	2	2	no	—
351	C₂×D₄×C₁₃	—	2	2	no	—
352	C₂×D₄×C₁₃	—	2	1	no	—
353	C₂×D₄×C₁₃	—	4	1	no	—
354	C₂×D₄×C₁₃	—	4	2	no	—
355	C₂×D₄×C₁₃	—	4	2	no	—
356	C₂×D₄×C₁₃	—	4	2	no	—
357	C₂×D₄×C₁₃	—	4	2	no	—
358	C₂×D₄×C₁₃	—	4	2	no	—
359	C₂×D₄×C₁₃	—	8	2	no	—
360	C₂×D₄×C₁₃	—	8	2	no	—
361	C₂×D₄×C₁₃	—	8	2	no	—
362	C₂×D₄×C₁₃	—	8	2	no	—
363	C₂×D₄×C₁₃	—	8	4	no	—
364	C₂×D₄×C₁₃	—	8	4	no	—
365	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
366	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
367	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
368	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
370	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
372	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	—	2	1	no	—
374	C₂²×C₄×C₁₃	—	2	1	no	—
375	C₂²×C₄×C₁₃	—	2	1	no	—
376	C₂²×C₄×C₁₃	—	2	1	no	—
377	C₂²×C₄×C₁₃	—	2	1	no	—
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	2	2	no	—
380	C₂²×C₄×C₁₃	—	2	2	no	—
381	C₂²×C₄×C₁₃	—	2	2	no	—
382	C₂²×C₄×C₁₃	—	2	2	no	—
383	C₂²×C₄×C₁₃	—	2	1	no	—
384	C₂²×C₄×C₁₃	—	2	2	no	—
385	C₂²×C₄×C₁₃	—	8	2	no	—
386	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
390	C₁₃×SD₁₆	—	2	2	no	—
391	C₁₃×SD₁₆	—	4	1	no	—
392	C₁₃×SD₁₆	—	4	2	no	—
393	C₁₃×D₈	—	2	2	no	—
394	C₁₃×D₈	—	2	4	no	—
395	C₁₃×D₈	—	2	4	no	—
396	C₁₃×D₈	—	4	2	no	—
397	C₁₃×D₈	—	4	2	no	—
398	C₁₃×D₈	—	4	2	no	—
399	C₁₃×D₈	—	4	2	no	—
400	C₁₃×D₈	—	4	2	no	—
401	C₁₃×D₈	—	4	1	no	—
402	C₁₃×D₈	—	4	2	no	—
403	C₁₃×D₈	—	4	2	no	—
404	C₁₃×M₁₆	—	4	2	no	—
405	C₂×C₈×C₁₃	—	4	2	no	—
406	C₂×C₈×C₁₃	—	4	2	no	—
407	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
412	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
413	C₁₃×C₄⋊C₄	—	2	1	no	—
414	C₁₃×C₄⋊C₄	—	2	2	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	2	no	—
420	C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
422	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
423	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
424	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
425	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
426	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
427	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
428	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
429	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
430	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
431	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	1	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	1	no	—
437	C₁₃×C₂²⋊C₄	—	2	2	no	—
438	C₁₃×C₂²⋊C₄	—	2	1	no	—
439	C₁₃×C₂²⋊C₄	—	2	2	no	—
440	C₁₃×C₂²⋊C₄	—	2	1	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	2	no	—
443	C₁₃×C₂²⋊C₄	—	2	1	no	—
444	C₁₃×C₂²⋊C₄	—	2	1	no	—
445	C₁₃×C₂²⋊C₄	—	2	2	no	—
446	C₁₃×C₂²⋊C₄	—	2	1	no	—
447	C₁₃×C₂²⋊C₄	—	2	2	no	—
448	C₁₃×C₂²⋊C₄	—	2	2	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	—	2	2	no	—
451	C₁₃×C₂²⋊C₄	—	2	1	no	—
452	C₁₃×C₂²⋊C₄	—	2	2	no	—
453	C₁₃×C₂²⋊C₄	—	2	2	no	—
454	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
455	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
456	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
457	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
458	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
459	C₄²×C₁₃	—	2	2	no	—
460	C₄²×C₁₃	—	2	1	no	—
461	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
462	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
463	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
464	C₄²×C₁₃	C₂⁴	1	2	yes	—
465	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
466	#3543	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3519	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3391	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3366	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3361	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3325	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3318	C₂×C₁₃	1	2	yes	complemented
474	#3305	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3297	C₂×C₁₃	1	2	yes	complemented
476	D₄×D₈	C₂×C₁₃	1	2	yes	complemented
477	D₄×D₈	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3274	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3264	C₂×C₁₃	1	2	yes	complemented
480	#3259	C₂×C₁₃	1	2	yes	complemented
481	#3247	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#3220	C₂×C₁₃	1	2	yes	complemented
483	#3205	C₂×C₁₃	1	1	yes	characteristic, complemented
484	#3122	C₂×C₁₃	1	2	yes	complemented
485	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
486	#3041	C₂×C₁₃	1	2	yes	complemented
487	C₂×#459	C₂×C₁₃	1	1	yes	characteristic, complemented
488	#2994	C₂×C₁₃	1	1	yes	characteristic, complemented
489	C₂³×C₁₃	—	2	1	no	—
490	C₂³×C₁₃	—	2	1	no	—
491	C₂³×C₁₃	—	2	2	no	—
492	C₂³×C₁₃	—	2	1	no	—
493	C₂³×C₁₃	—	2	2	no	—
494	C₂³×C₁₃	—	2	2	no	—
495	C₂³×C₁₃	—	4	2	no	—
496	C₂³×C₁₃	—	4	4	no	—
497	C₂³×C₁₃	—	4	2	no	—
498	C₂³×C₁₃	—	4	4	no	—
499	C₂³×C₁₃	—	8	1	no	—
500	C₂³×C₁₃	—	8	2	no	—
501	C₂³×C₁₃	—	8	2	no	—
502	C₂³×C₁₃	—	8	2	no	—
503	C₂³×C₁₃	—	8	2	no	—
504	C₂³×C₁₃	—	8	2	no	—
505	C₂³×C₁₃	—	8	2	no	—
506	C₂³×C₁₃	—	8	2	no	—
507	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
508	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
509	Q₈×C₁₃	—	2	2	no	—
510	Q₈×C₁₃	—	2	1	no	—
511	Q₈×C₁₃	—	2	1	no	—
512	Q₈×C₁₃	—	8	1	no	—
513	D₄×C₁₃	—	2	4	no	—
514	D₄×C₁₃	—	2	2	no	—
515	D₄×C₁₃	—	2	1	no	—
516	D₄×C₁₃	—	2	2	no	—
517	D₄×C₁₃	—	2	2	no	—
518	D₄×C₁₃	—	2	1	no	—
519	D₄×C₁₃	—	2	2	no	—
520	D₄×C₁₃	—	2	1	no	—
521	D₄×C₁₃	—	2	2	no	—
522	D₄×C₁₃	—	2	1	no	—
523	D₄×C₁₃	—	2	1	no	—
524	D₄×C₁₃	—	2	2	no	—
525	D₄×C₁₃	—	2	2	no	—
526	D₄×C₁₃	—	4	4	no	—
527	D₄×C₁₃	—	4	2	no	—
528	D₄×C₁₃	—	4	2	no	—
529	D₄×C₁₃	—	4	4	no	—
530	D₄×C₁₃	—	4	2	no	—
531	D₄×C₁₃	—	4	2	no	—
532	D₄×C₁₃	—	4	2	no	—
533	D₄×C₁₃	—	8	2	no	—
534	D₄×C₁₃	—	8	2	no	—
535	D₄×C₁₃	—	8	2	no	—
536	D₄×C₁₃	—	8	2	no	—
537	D₄×C₁₃	—	8	1	no	—
538	D₄×C₁₃	—	8	1	no	—
539	D₄×C₁₃	—	8	2	no	—
540	D₄×C₁₃	—	8	2	no	—
541	D₄×C₁₃	—	8	1	no	—
542	D₄×C₁₃	—	8	2	no	—
543	D₄×C₁₃	—	8	2	no	—
544	D₄×C₁₃	—	8	2	no	—
545	D₄×C₁₃	—	8	2	no	—
546	D₄×C₁₃	—	8	2	no	—
547	D₄×C₁₃	—	8	2	no	—
548	D₄×C₁₃	—	8	2	no	—
549	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
550	C₂×C₄×C₁₃	—	2	2	no	—
551	C₂×C₄×C₁₃	—	2	2	no	—
552	C₂×C₄×C₁₃	—	2	1	no	—
553	C₂×C₄×C₁₃	—	2	2	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	2	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	2	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	4	2	no	—
563	C₂×C₄×C₁₃	—	4	2	no	—
564	C₂×C₄×C₁₃	—	4	2	no	—
565	C₂×C₄×C₁₃	—	8	1	no	—
566	C₂×C₄×C₁₃	—	8	1	no	—
567	C₂×C₄×C₁₃	—	8	2	no	—
568	C₂×C₄×C₁₃	—	8	2	no	—
569	C₂×C₄×C₁₃	—	8	2	no	—
570	C₂×C₄×C₁₃	—	8	2	no	—
571	C₂×C₄×C₁₃	—	8	2	no	—
572	C₂×C₄×C₁₃	—	8	2	no	—
573	C₂×C₄×C₁₃	—	8	1	no	—
574	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
575	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
576	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
577	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
578	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
579	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
580	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
581	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
582	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
583	C₈×C₁₃	—	2	1	no	—
584	C₈×C₁₃	—	2	2	no	—
585	C₈×C₁₃	—	2	2	no	—
586	C₈×C₁₃	—	2	1	no	—
587	C₈×C₁₃	—	2	1	no	—
588	C₈×C₁₃	—	2	1	no	—
589	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	complemented
590	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
591	C₂²×D₈	C₂²×C₁₃	1	2	yes	complemented
592	#560	—	2	2	no	—
593	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	#553	—	2	1	no	—
597	#553	C₂²×C₁₃	1	2	yes	complemented
598	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
599	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	#546	—	2	1	no	—
602	#546	—	2	2	no	—
603	#546	—	2	1	no	—
604	#546	C₂²×C₁₃	1	2	yes	complemented
605	D₄²	—	2	1	no	—
606	D₄²	C₂²×C₁₃	1	2	yes	complemented
607	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
608	D₄²	C₂²×C₁₃	1	2	yes	complemented
609	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
610	#540	—	2	1	no	—
611	#540	C₂²×C₁₃	1	2	yes	complemented
612	#540	C₂²×C₁₃	1	2	yes	complemented
613	#538	—	2	2	no	—
614	#535	—	2	1	no	—
615	#535	C₂²×C₁₃	1	2	yes	complemented
616	#534	—	2	2	no	—
617	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
618	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	#529	C₂²×C₁₃	1	1	yes	characteristic
620	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
621	#525	—	2	1	no	—
622	C₂×#121	—	2	1	no	—
623	#518	C₂²×C₁₃	1	2	yes	complemented
624	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
625	#496	C₂²×C₁₃	1	2	yes	complemented
626	#493	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#493	C₂²×C₁₃	1	2	yes	complemented
628	#493	C₂²×C₁₃	1	1	yes	characteristic, complemented
629	#490	C₂²×C₁₃	1	2	yes	complemented
630	#488	C₂²×C₁₃	1	2	yes	complemented
631	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
632	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	#482	C₂²×C₁₃	1	2	yes	complemented
635	#482	C₂²×C₁₃	1	2	yes	complemented
636	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
639	#478	C₂²×C₁₃	1	2	yes	complemented
640	#478	C₂²×C₁₃	1	2	yes	complemented
641	#478	C₂²×C₁₃	1	2	yes	complemented
642	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	#469	C₂²×C₁₃	1	2	yes	complemented
645	#469	C₂²×C₁₃	1	2	yes	complemented
646	#466	C₂²×C₁₃	1	2	yes	complemented
647	#466	C₂²×C₁₃	1	2	yes	complemented
648	#466	C₂²×C₁₃	1	2	yes	complemented
649	#465	C₂²×C₁₃	1	2	yes	complemented
650	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	#463	C₂²×C₁₃	1	2	yes	complemented
653	#463	C₂²×C₁₃	1	2	yes	complemented
654	#463	C₂²×C₁₃	1	2	yes	complemented
655	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#459	C₂²×C₁₃	1	1	yes	characteristic
657	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
658	#459	C₂²×C₁₃	1	2	yes	complemented
659	#459	C₂²×C₁₃	1	2	yes	complemented
660	#459	C₂²×C₁₃	1	2	yes	complemented
661	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
662	#459	C₂²×C₁₃	1	2	yes	complemented
663	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
664	#459	C₂²×C₁₃	1	2	yes	complemented
665	#459	C₂²×C₁₃	1	2	yes	complemented
666	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	#459	C₂²×C₁₃	1	2	yes	complemented
668	#459	C₂²×C₁₃	1	2	yes	complemented
669	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
670	#449	C₂²×C₁₃	1	2	yes	complemented
671	#449	C₂²×C₁₃	1	2	yes	complemented
672	#447	C₂²×C₁₃	1	1	yes	characteristic
673	#447	C₂²×C₁₃	1	2	yes	complemented
674	#447	C₂²×C₁₃	1	2	yes	complemented
675	#447	C₂²×C₁₃	1	2	yes	complemented
676	#447	C₂²×C₁₃	1	2	yes	complemented
677	#447	C₂²×C₁₃	1	2	yes	complemented
678	#447	C₂²×C₁₃	1	2	yes	complemented
679	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
680	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	#442	C₂²×C₁₃	1	2	yes	complemented
682	#442	C₂²×C₁₃	1	2	yes	complemented
683	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
685	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
686	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
687	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
688	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
689	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	#435	C₂²×C₁₃	1	2	yes	complemented
691	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
692	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
693	#433	C₂²×C₁₃	1	2	yes	complemented
694	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
695	#424	C₂²×C₁₃	1	2	yes	complemented
696	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
697	#418	C₂²×C₁₃	1	2	yes	complemented
698	#416	C₂²×C₁₃	1	2	yes	complemented
699	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
700	C₂²×C₁₃	—	2	1	no	—
701	C₂²×C₁₃	—	2	1	no	—
702	C₂²×C₁₃	—	2	2	no	—
703	C₂²×C₁₃	—	2	2	no	—
704	C₂²×C₁₃	—	2	2	no	—
705	C₂²×C₁₃	—	2	2	no	—
706	C₂²×C₁₃	—	4	1	no	—
707	C₂²×C₁₃	—	4	1	no	—
708	C₂²×C₁₃	—	4	2	no	—
709	C₂²×C₁₃	—	4	1	no	—
710	C₂²×C₁₃	—	4	2	no	—
711	C₂²×C₁₃	—	4	1	no	—
712	C₂²×C₁₃	—	4	2	no	—
713	C₂²×C₁₃	—	4	1	no	—
714	C₂²×C₁₃	—	4	1	no	—
715	C₂²×C₁₃	—	4	2	no	—
716	C₂²×C₁₃	—	4	2	no	—
717	C₂²×C₁₃	—	4	2	no	—
718	C₂²×C₁₃	—	4	2	no	—
719	C₂²×C₁₃	—	4	1	no	—
720	C₂²×C₁₃	—	4	2	no	—
721	C₂²×C₁₃	—	4	1	no	—
722	C₂²×C₁₃	—	4	2	no	—
723	C₂²×C₁₃	—	8	4	no	—
724	C₂²×C₁₃	—	16	4	no	—
725	C₂²×C₁₃	—	16	4	no	—
726	C₂²×C₁₃	—	16	4	no	—
727	C₂²×C₁₃	#576	1	2	yes	—
728	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
729	C₄×C₁₃	—	2	2	no	—
730	C₄×C₁₃	—	2	1	no	—
731	C₄×C₁₃	—	2	1	no	—
732	C₄×C₁₃	—	2	1	no	—
733	C₄×C₁₃	—	2	1	no	—
734	C₄×C₁₃	—	2	2	no	—
735	C₄×C₁₃	—	2	2	no	—
736	C₄×C₁₃	—	4	1	no	—
737	C₄×C₁₃	—	4	1	no	—
738	C₄×C₁₃	—	4	1	no	—
739	C₄×C₁₃	—	4	1	no	—
740	C₄×C₁₃	—	4	1	no	—
741	C₄×C₁₃	—	4	2	no	—
742	C₄×C₁₃	#576	1	2	yes	—
743	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
744	C₄×C₁₃	#585	1	1	yes	characteristic
745	C₂×#41	—	2	1	no	—
746	C₂×#41	—	2	1	no	—
747	C₂×#41	—	2	1	no	—
748	C₂×#41	C₂³×C₁₃	1	2	yes	—
749	C₂²×D₄	—	2	1	no	—
750	C₂²×D₄	—	2	2	no	—
751	C₂²×D₄	—	2	2	no	—
752	C₂²×D₄	—	2	1	no	—
753	C₂²×D₄	—	2	1	no	—
754	C₂²×D₄	—	2	1	no	—
755	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
756	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
757	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
758	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
759	C₂³×C₄	—	2	1	no	—
760	AGL(1,ℤ/8)	—	4	4	no	—
761	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
762	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
763	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
764	C₂×D₈	—	4	4	no	—
765	C₂×D₈	—	4	4	no	—
766	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
767	C₂×D₈	C₂³×C₁₃	1	2	yes	—
768	C₂×D₈	C₂³×C₁₃	1	2	yes	—
769	C₂×D₈	C₂³×C₁₃	1	2	yes	—
770	C₂×D₈	C₂³×C₁₃	1	2	yes	—
771	C₂×D₈	C₂³×C₁₃	1	2	yes	—
772	C₂×D₈	C₂³×C₁₃	1	2	yes	—
773	C₂×D₈	C₂³×C₁₃	1	2	yes	—
774	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
775	C₂×D₈	C₂³×C₁₃	1	2	yes	—
776	C₂×D₈	C₂³×C₁₃	1	2	yes	—
777	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
778	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
779	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
780	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
781	#127	—	2	1	no	—
782	#127	—	2	1	no	—
783	#127	—	2	1	no	—
784	#127	C₂³×C₁₃	1	2	yes	—
785	#127	C₂³×C₁₃	1	1	yes	characteristic
786	#127	C₂³×C₁₃	1	1	yes	characteristic
787	#127	C₂³×C₁₃	1	1	yes	characteristic
788	#127	C₂³×C₁₃	1	2	yes	—
789	#127	C₂³×C₁₃	1	2	yes	—
790	#126	—	2	2	no	—
791	#126	—	2	1	no	—
792	#126	D₄×C₁₃	1	2	yes	—
793	#125	D₄×C₁₃	1	1	yes	characteristic
794	#125	C₂³×C₁₃	1	1	yes	characteristic
795	#125	C₂³×C₁₃	1	2	yes	—
796	#124	—	2	1	no	—
797	#124	—	2	2	no	—
798	#124	—	2	1	no	—
799	#124	D₄×C₁₃	1	1	yes	characteristic
800	#124	C₂³×C₁₃	1	1	yes	characteristic
801	#124	C₂³×C₁₃	1	2	yes	—
802	#123	—	2	1	no	—
803	#123	—	2	2	no	—
804	#123	—	2	2	no	—
805	#123	—	2	2	no	—
806	#123	—	2	2	no	—
807	#123	—	2	2	no	—
808	#123	—	2	2	no	—
809	#123	—	2	2	no	—
810	#123	D₄×C₁₃	1	2	yes	—
811	C₂²⋊Q₈	—	2	1	no	—
812	C₂²⋊Q₈	—	2	2	no	—
813	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
814	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
815	#121	—	2	2	no	—
816	#121	—	2	1	no	—
817	#121	—	2	1	no	—
818	#121	—	2	1	no	—
819	#121	—	2	1	no	—
820	#121	—	2	2	no	—
821	#121	—	2	2	no	—
822	#121	—	2	2	no	—
823	#121	—	2	2	no	—
824	#121	—	2	2	no	—
825	#121	—	2	1	no	—
826	#121	—	2	1	no	—
827	#121	—	2	2	no	—
828	#121	—	2	2	no	—
829	#121	—	2	2	no	—
830	#121	—	2	2	no	—
831	#121	—	2	2	no	—
832	#121	—	2	2	no	—
833	#121	—	2	2	no	—
834	#121	D₄×C₁₃	1	1	yes	characteristic
835	#121	C₂³×C₁₃	1	1	yes	characteristic
836	#121	C₂³×C₁₃	1	2	yes	—
837	#121	C₂³×C₁₃	1	2	yes	—
838	#121	C₂³×C₁₃	1	2	yes	—
839	#121	C₂³×C₁₃	1	2	yes	—
840	#121	C₂³×C₁₃	1	2	yes	—
841	#120	—	2	2	no	—
842	#120	—	2	2	no	—
843	#120	—	2	2	no	—
844	#120	—	2	2	no	—
845	#120	—	2	2	no	—
846	#120	—	2	2	no	—
847	#120	—	2	2	no	—
848	#120	—	2	2	no	—
849	#120	—	2	2	no	—
850	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
851	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₄×D₄	—	2	1	no	—
853	C₄×D₄	—	2	2	no	—
854	C₄×D₄	—	2	2	no	—
855	C₄×D₄	—	2	1	no	—
856	C₄×D₄	—	2	1	no	—
857	C₄×D₄	—	2	2	no	—
858	C₄×D₄	—	2	1	no	—
859	C₄×D₄	—	2	1	no	—
860	C₄×D₄	—	2	1	no	—
861	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
862	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
863	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
864	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
865	C₄×D₄	C₂³×C₁₃	1	2	yes	—
866	C₄×D₄	C₂³×C₁₃	1	2	yes	—
867	C₄×D₄	C₂³×C₁₃	1	2	yes	—
868	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
869	C₄×D₄	C₂³×C₁₃	1	2	yes	—
870	C₄×D₄	C₂³×C₁₃	1	2	yes	—
871	C₄×D₄	C₂³×C₁₃	1	2	yes	—
872	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
873	#117	—	2	1	no	—
874	#117	—	2	1	no	—
875	#117	C₂³×C₁₃	1	2	yes	—
876	#117	C₂³×C₁₃	1	2	yes	—
877	C₂×C₄⋊C₄	—	2	1	no	—
878	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
879	C₂×C₂²⋊C₄	—	2	1	no	—
880	C₂×C₂²⋊C₄	—	2	2	no	—
881	C₂×C₂²⋊C₄	—	2	2	no	—
882	C₂×C₂²⋊C₄	—	2	2	no	—
883	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
884	#107	C₂³×C₁₃	1	1	yes	characteristic
885	#107	C₂³×C₁₃	1	2	yes	—
886	#107	C₂³×C₁₃	1	1	yes	characteristic
887	#106	C₂³×C₁₃	1	1	yes	characteristic
888	#106	C₂³×C₁₃	1	1	yes	characteristic
889	#106	C₂³×C₁₃	1	2	yes	—
890	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
891	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
892	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
893	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
894	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
895	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
896	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
897	#103	C₂³×C₁₃	1	1	yes	characteristic
898	#103	C₂³×C₁₃	1	2	yes	—
899	#103	C₂³×C₁₃	1	1	yes	characteristic
900	#102	C₂³×C₁₃	1	2	yes	—
901	#102	C₂³×C₁₃	1	2	yes	—
902	#102	C₂³×C₁₃	1	2	yes	—
903	#102	C₂³×C₁₃	1	2	yes	—
904	#102	C₂³×C₁₃	1	2	yes	—
905	#102	C₂³×C₁₃	1	1	yes	characteristic
906	#102	C₂³×C₁₃	1	2	yes	—
907	#102	C₂³×C₁₃	1	2	yes	—
908	#102	C₂³×C₁₃	1	1	yes	characteristic
909	#102	C₂³×C₁₃	1	1	yes	characteristic
910	#102	C₂³×C₁₃	1	2	yes	—
911	#102	C₂³×C₁₃	1	1	yes	characteristic
912	#102	C₂³×C₁₃	1	2	yes	—
913	#102	C₂³×C₁₃	1	1	yes	characteristic
914	#102	C₂³×C₁₃	1	1	yes	characteristic
915	#102	C₂³×C₁₃	1	2	yes	—
916	#102	C₂³×C₁₃	1	2	yes	—
917	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
918	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
919	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
920	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
921	#97	C₂³×C₁₃	1	2	yes	—
922	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
923	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
924	C₄×C₈	C₂³×C₁₃	1	2	yes	—
925	C₂×C₁₃	—	2	2	no	—
926	C₂×C₁₃	—	4	2	no	—
927	C₂×C₁₃	—	4	2	no	—
928	C₂×C₁₃	—	8	1	no	—
929	C₂×C₁₃	—	8	2	no	—
930	C₂×C₁₃	—	8	2	no	—
931	C₂×C₁₃	—	8	1	no	—
932	C₂×C₁₃	—	8	2	no	—
933	C₂×C₁₃	#3488	1	1	yes	characteristic
934	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
935	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
936	C₂⁴	—	2	1	no	—
937	C₂⁴	—	2	2	no	—
938	C₂⁴	—	2	2	no	—
939	C₂⁴	—	2	2	no	—
940	#41	—	4	2	no	—
941	#41	—	4	2	no	—
942	#41	—	8	2	no	—
943	#41	—	8	2	no	—
944	#41	—	8	2	no	—
945	C₂×Q₈	—	2	1	no	—
946	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
947	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
948	C₂×D₄	—	2	2	no	—
949	C₂×D₄	—	2	4	no	—
950	C₂×D₄	—	2	1	no	—
951	C₂×D₄	—	2	2	no	—
952	C₂×D₄	—	2	2	no	—
953	C₂×D₄	—	2	2	no	—
954	C₂×D₄	—	2	2	no	—
955	C₂×D₄	—	2	2	no	—
956	C₂×D₄	—	2	2	no	—
957	C₂×D₄	—	2	2	no	—
958	C₂×D₄	—	2	1	no	—
959	C₂×D₄	—	2	1	no	—
960	C₂×D₄	—	2	1	no	—
961	C₂×D₄	—	2	1	no	—
962	C₂×D₄	—	2	2	no	—
963	C₂×D₄	—	2	2	no	—
964	C₂×D₄	—	2	2	no	—
965	C₂×D₄	—	2	1	no	—
966	C₂×D₄	—	2	1	no	—
967	C₂×D₄	—	2	2	no	—
968	C₂×D₄	—	2	2	no	—
969	C₂×D₄	—	2	2	no	—
970	C₂×D₄	—	2	2	no	—
971	C₂×D₄	—	2	2	no	—
972	C₂×D₄	—	2	1	no	—
973	C₂×D₄	—	4	1	no	—
974	C₂×D₄	—	4	2	no	—
975	C₂×D₄	—	4	2	no	—
976	C₂×D₄	—	4	2	no	—
977	C₂×D₄	—	4	2	no	—
978	C₂×D₄	—	4	2	no	—
979	C₂×D₄	—	8	2	no	—
980	C₂×D₄	—	8	2	no	—
981	C₂×D₄	—	8	2	no	—
982	C₂×D₄	—	8	2	no	—
983	C₂×D₄	—	8	4	no	—
984	C₂×D₄	—	8	4	no	—
985	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
987	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
988	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
989	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
990	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
991	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
992	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
993	C₂²×C₄	—	2	1	no	—
994	C₂²×C₄	—	2	1	no	—
995	C₂²×C₄	—	2	1	no	—
996	C₂²×C₄	—	2	1	no	—
997	C₂²×C₄	—	2	1	no	—
998	C₂²×C₄	—	2	2	no	—
999	C₂²×C₄	—	2	2	no	—
1000	C₂²×C₄	—	2	2	no	—
1001	C₂²×C₄	—	2	2	no	—
1002	C₂²×C₄	—	2	2	no	—
1003	C₂²×C₄	—	2	1	no	—
1004	C₂²×C₄	—	2	2	no	—
1005	C₂²×C₄	—	8	2	no	—
1006	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1007	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1008	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1009	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1010	SD₁₆	—	2	2	no	—
1011	SD₁₆	—	4	2	no	—
1012	SD₁₆	—	4	1	no	—
1013	D₈	—	2	2	no	—
1014	D₈	—	2	4	no	—
1015	D₈	—	2	4	no	—
1016	D₈	—	4	2	no	—
1017	D₈	—	4	2	no	—
1018	D₈	—	4	2	no	—
1019	D₈	—	4	2	no	—
1020	D₈	—	4	2	no	—
1021	D₈	—	4	2	no	—
1022	D₈	—	4	1	no	—
1023	D₈	—	4	2	no	—
1024	M₁₆	—	4	2	no	—
1025	C₂×C₈	—	4	2	no	—
1026	C₂×C₈	—	4	2	no	—
1027	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1028	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1029	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1030	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1031	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1032	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1033	C₄⋊C₄	—	2	1	no	—
1034	C₄⋊C₄	—	2	2	no	—
1035	C₄⋊C₄	—	2	1	no	—
1036	C₄⋊C₄	—	2	1	no	—
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	2	no	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1042	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1043	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1044	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1045	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1046	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1047	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1048	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1049	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1050	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1051	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1052	C₂²⋊C₄	—	2	2	no	—
1053	C₂²⋊C₄	—	2	1	no	—
1054	C₂²⋊C₄	—	2	1	no	—
1055	C₂²⋊C₄	—	2	2	no	—
1056	C₂²⋊C₄	—	2	1	no	—
1057	C₂²⋊C₄	—	2	2	no	—
1058	C₂²⋊C₄	—	2	1	no	—
1059	C₂²⋊C₄	—	2	2	no	—
1060	C₂²⋊C₄	—	2	1	no	—
1061	C₂²⋊C₄	—	2	2	no	—
1062	C₂²⋊C₄	—	2	2	no	—
1063	C₂²⋊C₄	—	2	1	no	—
1064	C₂²⋊C₄	—	2	1	no	—
1065	C₂²⋊C₄	—	2	2	no	—
1066	C₂²⋊C₄	—	2	1	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	2	2	no	—
1069	C₂²⋊C₄	—	2	2	no	—
1070	C₂²⋊C₄	—	2	2	no	—
1071	C₂²⋊C₄	—	2	1	no	—
1072	C₂²⋊C₄	—	2	2	no	—
1073	C₂²⋊C₄	—	2	2	no	—
1074	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1075	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1076	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1077	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1078	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1079	C₄²	—	2	2	no	—
1080	C₄²	—	2	1	no	—
1081	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1082	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1083	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1084	C₄²	C₂⁴×C₁₃	1	2	yes	—
1085	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1086	C₁₃	#62051	1	1	yes	characteristic, direct product factor, Sylow
1087	C₂³	—	2	1	no	—
1088	C₂³	—	2	1	no	—
1089	C₂³	—	2	2	no	—
1090	C₂³	—	2	1	no	—
1091	C₂³	—	2	2	no	—
1092	C₂³	—	2	2	no	—
1093	C₂³	—	4	2	no	—
1094	C₂³	—	4	4	no	—
1095	C₂³	—	4	2	no	—
1096	C₂³	—	4	4	no	—
1097	C₂³	—	8	1	no	—
1098	C₂³	—	8	2	no	—
1099	C₂³	—	8	2	no	—
1100	C₂³	—	8	2	no	—
1101	C₂³	—	8	2	no	—
1102	C₂³	—	8	2	no	—
1103	C₂³	—	8	2	no	—
1104	C₂³	—	8	2	no	—
1105	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1106	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1107	Q₈	—	2	2	no	—
1108	Q₈	—	2	1	no	—
1109	Q₈	—	2	1	no	—
1110	Q₈	—	8	1	no	—
1111	D₄	—	2	4	no	—
1112	D₄	—	2	2	no	—
1113	D₄	—	2	1	no	—
1114	D₄	—	2	2	no	—
1115	D₄	—	2	2	no	—
1116	D₄	—	2	1	no	—
1117	D₄	—	2	2	no	—
1118	D₄	—	2	1	no	—
1119	D₄	—	2	2	no	—
1120	D₄	—	2	1	no	—
1121	D₄	—	2	1	no	—
1122	D₄	—	2	2	no	—
1123	D₄	—	2	2	no	—
1124	D₄	—	4	4	no	—
1125	D₄	—	4	2	no	—
1126	D₄	—	4	2	no	—
1127	D₄	—	4	4	no	—
1128	D₄	—	4	2	no	—
1129	D₄	—	4	2	no	—
1130	D₄	—	4	2	no	—
1131	D₄	—	8	2	no	—
1132	D₄	—	8	2	no	—
1133	D₄	—	8	2	no	—
1134	D₄	—	8	2	no	—
1135	D₄	—	8	1	no	—
1136	D₄	—	8	1	no	—
1137	D₄	—	8	2	no	—
1138	D₄	—	8	2	no	—
1139	D₄	—	8	1	no	—
1140	D₄	—	8	2	no	—
1141	D₄	—	8	2	no	—
1142	D₄	—	8	2	no	—
1143	D₄	—	8	2	no	—
1144	D₄	—	8	2	no	—
1145	D₄	—	8	2	no	—
1146	D₄	—	8	2	no	—
1147	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1148	C₂×C₄	—	2	2	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	2	no	—
1152	C₂×C₄	—	2	1	no	—
1153	C₂×C₄	—	2	2	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	2	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	4	2	no	—
1161	C₂×C₄	—	4	2	no	—
1162	C₂×C₄	—	4	2	no	—
1163	C₂×C₄	—	8	1	no	—
1164	C₂×C₄	—	8	1	no	—
1165	C₂×C₄	—	8	2	no	—
1166	C₂×C₄	—	8	2	no	—
1167	C₂×C₄	—	8	2	no	—
1168	C₂×C₄	—	8	2	no	—
1169	C₂×C₄	—	8	2	no	—
1170	C₂×C₄	—	8	2	no	—
1171	C₂×C₄	—	8	1	no	—
1172	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1173	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1174	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1175	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1176	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1177	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1178	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1179	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1180	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1181	C₈	—	2	1	no	—
1182	C₈	—	2	2	no	—
1183	C₈	—	2	2	no	—
1184	C₈	—	2	1	no	—
1185	C₈	—	2	1	no	—
1186	C₈	—	2	1	no	—
1187	C₂²	—	2	1	no	—
1188	C₂²	—	2	1	no	—
1189	C₂²	—	2	2	no	—
1190	C₂²	—	2	2	no	—
1191	C₂²	—	2	2	no	—
1192	C₂²	—	2	2	no	—
1193	C₂²	—	4	1	no	—
1194	C₂²	—	4	1	no	—
1195	C₂²	—	4	1	no	—
1196	C₂²	—	4	1	no	—
1197	C₂²	—	4	2	no	—
1198	C₂²	—	4	2	no	—
1199	C₂²	—	4	2	no	—
1200	C₂²	—	4	2	no	—
1201	C₂²	—	4	1	no	—
1202	C₂²	—	4	2	no	—
1203	C₂²	—	4	1	no	—
1204	C₂²	—	4	2	no	—
1205	C₂²	—	4	2	no	—
1206	C₂²	—	4	1	no	—
1207	C₂²	—	4	2	no	—
1208	C₂²	—	4	1	no	—
1209	C₂²	—	4	2	no	—
1210	C₂²	—	8	4	no	—
1211	C₂²	—	16	4	no	—
1212	C₂²	—	16	4	no	—
1213	C₂²	—	16	4	no	—
1214	C₂²	C₁₃×#576	1	2	yes	—
1215	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1216	C₄	—	2	1	no	—
1217	C₄	—	2	1	no	—
1218	C₄	—	2	1	no	—
1219	C₄	—	2	2	no	—
1220	C₄	—	2	2	no	—
1221	C₄	—	2	2	no	—
1222	C₄	—	2	1	no	—
1223	C₄	—	4	1	no	—
1224	C₄	—	4	1	no	—
1225	C₄	—	4	1	no	—
1226	C₄	—	4	1	no	—
1227	C₄	—	4	2	no	—
1228	C₄	—	4	1	no	—
1229	C₄	C₁₃×#576	1	2	yes	—
1230	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1231	C₄	C₁₃×#585	1	1	yes	characteristic
1232	C₂	—	2	2	no	—
1233	C₂	—	4	2	no	—
1234	C₂	—	4	2	no	—
1235	C₂	—	8	1	no	—
1236	C₂	—	8	1	no	—
1237	C₂	—	8	2	no	—
1238	C₂	—	8	2	no	—
1239	C₂	—	8	2	no	—
1240	C₂	C₁₃×#3488	1	1	yes	characteristic
1241	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1242	C₂	C₂×C₁₃×#576	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 ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3543	C₂	semidirect
2. C₁₃×#3519	C₂	semidirect
3. C₁₃×#3399	C₂	semidirect
4. C₁₃×#3391	C₂	semidirect
5. C₁₃×#3366	C₂	semidirect
6. C₁₃×#3361	C₂	semidirect
7. C₁₃×#3325	C₂	semidirect
8. C₁₃×#3318	C₂	semidirect
9. C₁₃×#3305	C₂	semidirect
10. C₁₃×#3297	C₂	semidirect
11. D₄×C₁₃×D₈	C₂	semidirect
12. D₄×C₁₃×D₈	C₂	semidirect
13. C₁₃×#3274	C₂	semidirect
14. C₁₃×#3264	C₂	semidirect
15. C₁₃×#3259	C₂	semidirect
16. C₁₃×#3247	C₂	semidirect
17. C₁₃×#3220	C₂	semidirect
18. C₁₃×#3205	C₂	semidirect
19. C₁₃×#3122	C₂	semidirect
20. C₁₃×#3105	C₂	semidirect
21. C₁₃×#3041	C₂	semidirect
22. C₂×C₁₃×#459	C₂	semidirect
23. C₁₃×#2994	C₂	semidirect
24. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
25. C₂²×C₁₃×D₈	C₂²	semidirect
26. C₂²×C₁₃×D₈	C₂²	semidirect
28. C₁₃×#559	C₂²	semidirect
29. C₁₃×#555	C₂²	semidirect
30. C₁₃×#554	C₂²	semidirect
32. C₁₃×#553	C₂²	semidirect
33. C₁₃×#550	C₂²	semidirect
34. C₁₃×#550	C₂²	semidirect
35. C₁₃×#550	C₂²	semidirect
39. C₁₃×#546	C₂²	semidirect
41. D₄²×C₁₃	C₂²	semidirect
42. D₄²×C₁₃	C₂²	semidirect
43. D₄²×C₁₃	C₂²	semidirect
44. D₄²×C₁₃	C₂²	semidirect
46. C₁₃×#540	C₂²	semidirect
47. C₁₃×#540	C₂²	semidirect
50. C₁₃×#535	C₂²	semidirect
52. C₁₃×#532	C₂²	semidirect
53. C₂×C₁₃×#127	C₂²	semidirect
55. C₁₃×#529	C₂²	semidirect
58. C₁₃×#518	C₂²	semidirect
59. C₂×C₄×D₄×C₁₃	C₂²	semidirect
60. C₁₃×#496	C₂²	semidirect
61. C₁₃×#493	C₂²	semidirect
62. C₁₃×#493	C₂²	semidirect
63. C₁₃×#493	C₂²	semidirect
64. C₁₃×#490	C₂²	semidirect
65. C₁₃×#488	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
67. C₁₃×#486	C₂²	semidirect
68. C₁₃×#484	C₂²	semidirect
69. C₁₃×#482	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
71. C₁₃×#481	C₂²	semidirect
72. C₁₃×#478	C₂²	semidirect
73. C₁₃×#478	C₂²	semidirect
74. C₁₃×#478	C₂²	semidirect
75. C₁₃×#478	C₂²	semidirect
76. C₁₃×#478	C₂²	semidirect
77. C₁₃×#477	C₂²	semidirect
78. C₁₃×#476	C₂²	semidirect
79. C₁₃×#469	C₂²	semidirect
80. C₁₃×#469	C₂²	semidirect
81. C₁₃×#466	C₂²	semidirect
82. C₁₃×#466	C₂²	semidirect
83. C₁₃×#466	C₂²	semidirect
84. C₁₃×#465	C₂²	semidirect
85. C₁₃×#463	C₂²	semidirect
86. C₁₃×#463	C₂²	semidirect
87. C₁₃×#463	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#463	C₂²	semidirect
90. C₁₃×#460	C₂²	semidirect
92. C₁₃×#459	C₂²	semidirect
93. C₁₃×#459	C₂²	semidirect
94. C₁₃×#459	C₂²	semidirect
95. C₁₃×#459	C₂²	semidirect
96. C₁₃×#459	C₂²	semidirect
97. C₁₃×#459	C₂²	semidirect
98. C₁₃×#459	C₂²	semidirect
99. C₁₃×#459	C₂²	semidirect
100. C₁₃×#459	C₂²	semidirect
101. C₁₃×#459	C₂²	semidirect
102. C₁₃×#459	C₂²	semidirect
103. C₁₃×#459	C₂²	semidirect
104. C₁₃×#450	C₂²	semidirect
105. C₁₃×#449	C₂²	semidirect
106. C₁₃×#449	C₂²	semidirect
108. C₁₃×#447	C₂²	semidirect
109. C₁₃×#447	C₂²	semidirect
110. C₁₃×#447	C₂²	semidirect
111. C₁₃×#447	C₂²	semidirect
112. C₁₃×#447	C₂²	semidirect
113. C₁₃×#447	C₂²	semidirect
114. C₁₃×#446	C₂²	semidirect
115. C₈×Q₈×C₁₃	C₂²	semidirect
116. C₁₃×#442	C₂²	semidirect
117. C₁₃×#442	C₂²	semidirect
118. C₄×C₁₃×SD₁₆	C₂²	semidirect
119. C₄×C₁₃×SD₁₆	C₂²	semidirect
120. C₄×C₁₃×D₈	C₂²	semidirect
121. C₄×C₁₃×D₈	C₂²	semidirect
122. C₄×C₁₃×D₈	C₂²	semidirect
123. C₄×C₁₃×D₈	C₂²	semidirect
124. C₁₃×#436	C₂²	semidirect
125. C₁₃×#435	C₂²	semidirect
126. C₈×D₄×C₁₃	C₂²	semidirect
127. C₈×D₄×C₁₃	C₂²	semidirect
128. C₁₃×#433	C₂²	semidirect
129. C₁₃×#431	C₂²	semidirect
130. C₁₃×#424	C₂²	semidirect
131. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
132. C₁₃×#418	C₂²	semidirect
133. C₁₃×#416	C₂²	semidirect
134. C₂×C₁₃×#102	C₂²	semidirect
315. #62051	C₁₃	direct (N × H)
466. #3543	C₂×C₁₃	semidirect
467. #3519	C₂×C₁₃	semidirect
468. #3399	C₂×C₁₃	semidirect
469. #3391	C₂×C₁₃	semidirect
470. #3366	C₂×C₁₃	semidirect
471. #3361	C₂×C₁₃	semidirect
472. #3325	C₂×C₁₃	semidirect
473. #3318	C₂×C₁₃	semidirect
474. #3305	C₂×C₁₃	semidirect
475. #3297	C₂×C₁₃	semidirect
476. D₄×D₈	C₂×C₁₃	semidirect
477. D₄×D₈	C₂×C₁₃	semidirect
478. #3274	C₂×C₁₃	semidirect
479. #3264	C₂×C₁₃	semidirect
480. #3259	C₂×C₁₃	semidirect
481. #3247	C₂×C₁₃	semidirect
482. #3220	C₂×C₁₃	semidirect
483. #3205	C₂×C₁₃	semidirect
484. #3122	C₂×C₁₃	semidirect
485. #3105	C₂×C₁₃	semidirect
486. #3041	C₂×C₁₃	semidirect
487. C₂×#459	C₂×C₁₃	semidirect
488. #2994	C₂×C₁₃	semidirect
589. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
590. C₂²×D₈	C₂²×C₁₃	semidirect
591. C₂²×D₈	C₂²×C₁₃	semidirect
593. #559	C₂²×C₁₃	semidirect
594. #555	C₂²×C₁₃	semidirect
595. #554	C₂²×C₁₃	semidirect
597. #553	C₂²×C₁₃	semidirect
598. #550	C₂²×C₁₃	semidirect
599. #550	C₂²×C₁₃	semidirect
600. #550	C₂²×C₁₃	semidirect
604. #546	C₂²×C₁₃	semidirect
606. D₄²	C₂²×C₁₃	semidirect
607. D₄²	C₂²×C₁₃	semidirect
608. D₄²	C₂²×C₁₃	semidirect
609. D₄²	C₂²×C₁₃	semidirect
611. #540	C₂²×C₁₃	semidirect
612. #540	C₂²×C₁₃	semidirect
615. #535	C₂²×C₁₃	semidirect
617. #532	C₂²×C₁₃	semidirect
618. C₂×#127	C₂²×C₁₃	semidirect
620. #529	C₂²×C₁₃	semidirect
623. #518	C₂²×C₁₃	semidirect
624. C₂×C₄×D₄	C₂²×C₁₃	semidirect
625. #496	C₂²×C₁₃	semidirect
626. #493	C₂²×C₁₃	semidirect
627. #493	C₂²×C₁₃	semidirect
628. #493	C₂²×C₁₃	semidirect
629. #490	C₂²×C₁₃	semidirect
630. #488	C₂²×C₁₃	semidirect
631. #486	C₂²×C₁₃	semidirect
632. #486	C₂²×C₁₃	semidirect
633. #484	C₂²×C₁₃	semidirect
634. #482	C₂²×C₁₃	semidirect
635. #482	C₂²×C₁₃	semidirect
636. #481	C₂²×C₁₃	semidirect
637. #478	C₂²×C₁₃	semidirect
638. #478	C₂²×C₁₃	semidirect
639. #478	C₂²×C₁₃	semidirect
640. #478	C₂²×C₁₃	semidirect
641. #478	C₂²×C₁₃	semidirect
642. #477	C₂²×C₁₃	semidirect
643. #476	C₂²×C₁₃	semidirect
644. #469	C₂²×C₁₃	semidirect
645. #469	C₂²×C₁₃	semidirect
646. #466	C₂²×C₁₃	semidirect
647. #466	C₂²×C₁₃	semidirect
648. #466	C₂²×C₁₃	semidirect
649. #465	C₂²×C₁₃	semidirect
650. #463	C₂²×C₁₃	semidirect
651. #463	C₂²×C₁₃	semidirect
652. #463	C₂²×C₁₃	semidirect
653. #463	C₂²×C₁₃	semidirect
654. #463	C₂²×C₁₃	semidirect
655. #460	C₂²×C₁₃	semidirect
657. #459	C₂²×C₁₃	semidirect
658. #459	C₂²×C₁₃	semidirect
659. #459	C₂²×C₁₃	semidirect
660. #459	C₂²×C₁₃	semidirect
661. #459	C₂²×C₁₃	semidirect
662. #459	C₂²×C₁₃	semidirect
663. #459	C₂²×C₁₃	semidirect
664. #459	C₂²×C₁₃	semidirect
665. #459	C₂²×C₁₃	semidirect
666. #459	C₂²×C₁₃	semidirect
667. #459	C₂²×C₁₃	semidirect
668. #459	C₂²×C₁₃	semidirect
669. #450	C₂²×C₁₃	semidirect
670. #449	C₂²×C₁₃	semidirect
671. #449	C₂²×C₁₃	semidirect
673. #447	C₂²×C₁₃	semidirect
674. #447	C₂²×C₁₃	semidirect
675. #447	C₂²×C₁₃	semidirect
676. #447	C₂²×C₁₃	semidirect
677. #447	C₂²×C₁₃	semidirect
678. #447	C₂²×C₁₃	semidirect
679. #446	C₂²×C₁₃	semidirect
680. C₈×Q₈	C₂²×C₁₃	semidirect
681. #442	C₂²×C₁₃	semidirect
682. #442	C₂²×C₁₃	semidirect
683. C₄×SD₁₆	C₂²×C₁₃	semidirect
684. C₄×SD₁₆	C₂²×C₁₃	semidirect
685. C₄×D₈	C₂²×C₁₃	semidirect
686. C₄×D₈	C₂²×C₁₃	semidirect
687. C₄×D₈	C₂²×C₁₃	semidirect
688. C₄×D₈	C₂²×C₁₃	semidirect
689. #436	C₂²×C₁₃	semidirect
690. #435	C₂²×C₁₃	semidirect
691. C₈×D₄	C₂²×C₁₃	semidirect
692. C₈×D₄	C₂²×C₁₃	semidirect
693. #433	C₂²×C₁₃	semidirect
694. #431	C₂²×C₁₃	semidirect
695. #424	C₂²×C₁₃	semidirect
696. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
697. #418	C₂²×C₁₃	semidirect
698. #416	C₂²×C₁₃	semidirect
699. C₂×#102	C₂²×C₁₃	semidirect
1086. C₁₃	#62051	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×#3543	2
C₁₃×#3519	2
C₁₃×#3399	2
C₁₃×#3391	2
C₁₃×#3366	2
C₁₃×#3361	2
C₁₃×#3325	2
C₁₃×#3318	2
C₁₃×#3305	2
C₁₃×#3297	2
D₄×C₁₃×D₈	2
C₁₃×#3274	2
C₁₃×#3264	2
C₁₃×#3259	2
C₁₃×#3247	2
C₁₃×#3220	2
C₁₃×#3205	2
C₁₃×#3122	2
C₁₃×#3105	2
C₁₃×#3041	2
C₂×C₁₃×#459	2
C₁₃×#2994	2
#62051	13

Subgroups — C13×#62051 #15748390

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62051 #15748390