Subgroups — C₁₃×#62610 #15748949

Order 3328.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1184 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3543	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3366	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3361	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3358	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3332	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3325	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3322	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3319	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3318	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3241	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3233	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×#3176	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3171	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3138	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3136	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#562	—	2	2	no	—
25	C₁₃×#560	—	2	2	no	—
26	C₁₃×#559	C₂²	1	1	yes	characteristic
27	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#555	C₂²	1	2	yes	complemented
29	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#553	C₂²	1	2	yes	complemented
31	C₁₃×#552	—	2	1	no	—
32	C₁₃×#550	C₂²	1	1	yes	characteristic
33	C₁₃×#550	C₂²	1	1	yes	characteristic
34	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#548	—	2	1	no	—
36	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#546	—	2	1	no	—
38	C₁₃×#546	C₂²	1	2	yes	—
39	D₄²×C₁₃	—	2	1	no	—
40	D₄²×C₁₃	C₂²	1	1	yes	characteristic
41	D₄²×C₁₃	C₂²	1	2	yes	—
42	C₁₃×#544	C₂²	1	2	yes	complemented
43	C₁₃×#542	—	2	2	no	—
44	C₁₃×#540	—	2	1	no	—
45	C₁₃×#540	C₂²	1	2	yes	—
46	C₁₃×#540	C₂²	1	2	yes	complemented
47	C₁₃×#537	—	2	1	no	—
48	C₁₃×#536	—	2	1	no	—
49	C₁₃×#535	—	2	1	no	—
50	C₁₃×#535	C₂²	1	2	yes	—
51	C₁₃×#534	—	2	2	no	—
52	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
55	C₁₃×#529	C₂²	1	1	yes	characteristic
56	C₁₃×#529	C₂²	1	1	yes	characteristic
57	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#499	C₂²	1	2	yes	complemented
59	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#493	C₂²	1	2	yes	complemented
61	C₁₃×#490	C₂²	1	2	yes	complemented
62	C₁₃×#490	C₂²	1	2	yes	complemented
63	C₁₃×#490	C₂²	1	2	yes	complemented
64	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#489	C₂²	1	2	yes	complemented
66	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#488	C₂²	1	2	yes	complemented
68	C₁₃×#488	C₂²	1	2	yes	complemented
69	C₁₃×#486	C₂²	1	1	yes	characteristic
70	C₁₃×#486	C₂²	1	1	yes	characteristic
71	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#486	C₂²	1	2	yes	complemented
73	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#486	C₂²	1	2	yes	complemented
75	C₁₃×#485	C₂²	1	2	yes	complemented
76	C₁₃×#482	C₂²	1	2	yes	—
77	C₁₃×#482	C₂²	1	2	yes	complemented
78	C₁₃×#482	C₂²	1	2	yes	complemented
79	C₁₃×#481	C₂²	1	2	yes	complemented
80	C₁₃×#480	C₂²	1	2	yes	complemented
81	C₁₃×#478	C₂²	1	2	yes	complemented
82	C₁₃×#478	C₂²	1	2	yes	complemented
83	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#476	C₂²	1	2	yes	complemented
86	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#474	C₂²	1	2	yes	complemented
89	C₁₃×#469	C₂²	1	1	yes	characteristic
90	C₁₃×#469	C₂²	1	1	yes	characteristic
91	C₁₃×#469	C₂²	1	2	yes	complemented
92	C₁₃×#469	C₂²	1	2	yes	complemented
93	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#466	C₂²	1	2	yes	complemented
96	C₁₃×#466	C₂²	1	2	yes	complemented
97	C₁₃×#463	C₂²	1	2	yes	complemented
98	C₁₃×#463	C₂²	1	2	yes	complemented
99	C₁₃×#459	C₂²	1	1	yes	characteristic
100	C₁₃×#459	C₂²	1	1	yes	characteristic
101	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#459	C₂²	1	2	yes	complemented
103	C₁₃×#459	C₂²	1	2	yes	complemented
104	C₁₃×#459	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	2	yes	complemented
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×#446	C₂²	1	1	yes	characteristic, complemented
112	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#442	C₂²	1	2	yes	complemented
114	C₁₃×#442	C₂²	1	2	yes	complemented
115	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
117	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
119	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
121	C₁₃×#436	C₂²	1	2	yes	complemented
122	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#435	C₂²	1	2	yes	complemented
124	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#433	C₂²	1	2	yes	complemented
126	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#418	C₂²	1	2	yes	complemented
128	C₁₃×#418	C₂²	1	2	yes	complemented
129	C₁₃×#418	C₂²	1	2	yes	complemented
130	C₁₃×#417	C₂²	1	2	yes	complemented
131	C₁₃×#416	C₂²	1	2	yes	complemented
132	C₂×C₁₃×#102	C₂²	1	2	yes	complemented
133	C₁₃×#405	C₂²	1	2	yes	complemented
134	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic, 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×Q₈×C₁₃	—	2	1	no	—
140	C₂²×D₄×C₁₃	—	2	2	no	—
141	C₂²×D₄×C₁₃	—	2	1	no	—
142	C₂²×D₄×C₁₃	—	2	1	no	—
143	C₂²×D₄×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
145	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
146	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×D₈	C₂³	1	2	yes	—
149	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×D₈	C₂³	1	2	yes	—
152	C₂×C₁₃×D₈	C₂³	1	2	yes	—
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
154	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
156	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
157	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
158	C₁₃×C₄⋊Q₈	—	2	2	no	—
159	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×#127	—	2	1	no	—
164	C₁₃×#127	—	2	1	no	—
165	C₁₃×#127	—	2	1	no	—
166	C₁₃×#127	C₂³	1	1	yes	characteristic
167	C₁₃×#127	C₂³	1	1	yes	characteristic
168	C₁₃×#127	C₂³	1	2	yes	—
169	C₁₃×#127	C₂³	1	2	yes	—
170	C₁₃×#127	C₂³	1	1	yes	characteristic
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#126	D₄	1	2	yes	—
174	C₁₃×#125	—	2	2	no	—
175	C₁₃×#125	D₄	1	1	yes	characteristic
176	C₁₃×#125	C₂³	1	2	yes	—
177	C₁₃×#125	C₂³	1	2	yes	—
178	C₁₃×#125	C₂³	1	1	yes	characteristic
179	C₁₃×#124	—	2	1	no	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	—	2	2	no	—
182	C₁₃×#124	—	2	2	no	—
183	C₁₃×#124	—	2	1	no	—
184	C₁₃×#124	D₄	1	1	yes	characteristic
185	C₁₃×#124	C₂³	1	2	yes	—
186	C₁₃×#124	C₂³	1	1	yes	characteristic
187	C₁₃×#123	—	2	1	no	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	—	2	2	no	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
196	C₁₃×#123	D₄	1	2	yes	—
197	C₁₃×C₂²⋊Q₈	—	2	1	no	—
198	C₁₃×C₂²⋊Q₈	—	2	1	no	—
199	C₁₃×C₂²⋊Q₈	—	2	1	no	—
200	C₁₃×C₂²⋊Q₈	—	2	1	no	—
201	C₁₃×C₂²⋊Q₈	—	2	1	no	—
202	C₁₃×C₂²⋊Q₈	—	2	2	no	—
203	C₁₃×C₂²⋊Q₈	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
207	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
208	C₁₃×#121	—	2	1	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	2	no	—
211	C₁₃×#121	—	2	1	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	1	yes	characteristic
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×#121	C₂³	1	1	yes	characteristic
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	C₄×Q₈×C₁₃	—	2	1	no	—
239	C₄×Q₈×C₁₃	—	2	1	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	1	no	—
244	C₄×D₄×C₁₃	—	2	1	no	—
245	C₄×D₄×C₁₃	—	2	2	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
250	C₄×D₄×C₁₃	C₂³	1	2	yes	—
251	C₄×D₄×C₁₃	C₂³	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	2	yes	—
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	—	2	2	no	—
258	C₁₃×#117	—	2	1	no	—
259	C₁₃×#117	C₂³	1	2	yes	—
260	C₁₃×#117	C₂³	1	2	yes	—
261	C₁₃×#117	C₂³	1	2	yes	—
262	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
265	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
266	C₁₃×#107	C₂³	1	2	yes	—
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#107	C₂³	1	1	yes	characteristic
269	C₁₃×#107	C₂³	1	1	yes	characteristic
270	C₁₃×#106	C₂³	1	1	yes	characteristic
271	C₁₃×#106	C₂³	1	1	yes	characteristic
272	C₁₃×#106	C₂³	1	2	yes	—
273	C₁₃×#106	C₂³	1	2	yes	—
274	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
277	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
278	C₁₃×#103	C₂³	1	1	yes	characteristic
279	C₁₃×#103	C₂³	1	2	yes	—
280	C₁₃×#103	C₂³	1	1	yes	characteristic
281	C₁₃×#103	C₂³	1	2	yes	—
282	C₁₃×#102	C₂³	1	1	yes	characteristic
283	C₁₃×#102	C₂³	1	2	yes	—
284	C₁₃×#102	C₂³	1	2	yes	—
285	C₁₃×#102	C₂³	1	2	yes	—
286	C₁₃×#102	C₂³	1	2	yes	—
287	C₁₃×#102	C₂³	1	2	yes	—
288	C₁₃×#102	C₂³	1	2	yes	—
289	C₁₃×#102	C₂³	1	2	yes	—
290	C₁₃×#102	C₂³	1	1	yes	characteristic
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	2	yes	—
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	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
303	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×#97	C₂³	1	1	yes	characteristic
306	C₁₃×#97	C₂³	1	1	yes	characteristic
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₃	C₂³	1	2	yes	—
311	C₄×C₈×C₁₃	C₂³	1	2	yes	—
312	#62610	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	—	2	2	no	—
314	C₂⁴×C₁₃	—	2	2	no	—
315	C₁₃×#41	—	4	2	no	—
316	C₁₃×#41	—	4	2	no	—
317	C₁₃×#41	—	8	2	no	—
318	C₁₃×#41	—	8	2	no	—
319	C₁₃×#41	—	8	2	no	—
320	C₂×Q₈×C₁₃	—	2	1	no	—
321	C₂×Q₈×C₁₃	—	2	1	no	—
322	C₂×Q₈×C₁₃	—	2	2	no	—
323	C₂×Q₈×C₁₃	—	2	1	no	—
324	C₂×Q₈×C₁₃	—	8	2	no	—
325	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
326	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
327	C₂×D₄×C₁₃	—	2	1	no	—
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	2	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	1	no	—
341	C₂×D₄×C₁₃	—	2	2	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	—	4	2	no	—
348	C₂×D₄×C₁₃	—	4	2	no	—
349	C₂×D₄×C₁₃	—	4	2	no	—
350	C₂×D₄×C₁₃	—	4	2	no	—
351	C₂×D₄×C₁₃	—	8	2	no	—
352	C₂×D₄×C₁₃	—	8	2	no	—
353	C₂×D₄×C₁₃	—	8	2	no	—
354	C₂×D₄×C₁₃	—	8	4	no	—
355	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
357	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
359	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
360	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	2	1	no	—
364	C₂²×C₄×C₁₃	—	2	1	no	—
365	C₂²×C₄×C₁₃	—	2	1	no	—
366	C₂²×C₄×C₁₃	—	2	2	no	—
367	C₂²×C₄×C₁₃	—	2	2	no	—
368	C₂²×C₄×C₁₃	—	2	2	no	—
369	C₂²×C₄×C₁₃	—	2	2	no	—
370	C₂²×C₄×C₁₃	—	2	2	no	—
371	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
375	C₁₃×SD₁₆	—	4	1	no	—
376	C₁₃×SD₁₆	—	4	1	no	—
377	C₁₃×D₈	—	4	2	no	—
378	C₁₃×D₈	—	4	2	no	—
379	C₁₃×D₈	—	4	2	no	—
380	C₁₃×D₈	—	4	2	no	—
381	C₁₃×D₈	—	4	1	no	—
382	C₁₃×D₈	—	4	1	no	—
383	C₁₃×M₁₆	—	4	1	no	—
384	C₁₃×M₁₆	—	4	2	no	—
385	C₁₃×M₁₆	—	4	1	no	—
386	C₂×C₈×C₁₃	—	4	2	no	—
387	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
389	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
393	C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	1	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
414	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
417	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	1	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	1	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	—	2	2	no	—
446	C₄²×C₁₃	—	2	1	no	—
447	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
448	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
449	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₄²×C₁₃	C₂⁴	1	2	yes	—
452	#3547	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3543	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3366	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3361	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3358	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3332	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3325	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3325	C₂×C₁₃	1	2	yes	complemented
461	#3322	C₂×C₁₃	1	2	yes	complemented
462	#3319	C₂×C₁₃	1	2	yes	complemented
463	#3318	C₂×C₁₃	1	2	yes	complemented
464	#3305	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3294	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3241	C₂×C₁₃	1	2	yes	complemented
467	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3220	C₂×C₁₃	1	2	yes	complemented
469	#3205	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3176	C₂×C₁₃	1	2	yes	complemented
471	#3171	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3138	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3136	C₂×C₁₃	1	2	yes	complemented
474	#2969	C₂×C₁₃	1	1	yes	characteristic, complemented
475	C₂³×C₁₃	—	2	1	no	—
476	C₂³×C₁₃	—	2	1	no	—
477	C₂³×C₁₃	—	2	2	no	—
478	C₂³×C₁₃	—	2	1	no	—
479	C₂³×C₁₃	—	2	2	no	—
480	C₂³×C₁₃	—	4	4	no	—
481	C₂³×C₁₃	—	8	2	no	—
482	C₂³×C₁₃	—	8	2	no	—
483	C₂³×C₁₃	—	8	2	no	—
484	C₂³×C₁₃	—	8	2	no	—
485	C₂³×C₁₃	—	8	2	no	—
486	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
487	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
488	Q₈×C₁₃	—	2	2	no	—
489	Q₈×C₁₃	—	2	1	no	—
490	Q₈×C₁₃	—	2	1	no	—
491	Q₈×C₁₃	—	4	2	no	—
492	Q₈×C₁₃	—	8	1	no	—
493	Q₈×C₁₃	—	8	2	no	—
494	Q₈×C₁₃	—	8	1	no	—
495	D₄×C₁₃	—	2	2	no	—
496	D₄×C₁₃	—	2	1	no	—
497	D₄×C₁₃	—	2	1	no	—
498	D₄×C₁₃	—	2	1	no	—
499	D₄×C₁₃	—	2	1	no	—
500	D₄×C₁₃	—	2	2	no	—
501	D₄×C₁₃	—	2	1	no	—
502	D₄×C₁₃	—	2	2	no	—
503	D₄×C₁₃	—	2	1	no	—
504	D₄×C₁₃	—	2	2	no	—
505	D₄×C₁₃	—	2	2	no	—
506	D₄×C₁₃	—	4	2	no	—
507	D₄×C₁₃	—	4	2	no	—
508	D₄×C₁₃	—	4	2	no	—
509	D₄×C₁₃	—	4	2	no	—
510	D₄×C₁₃	—	8	1	no	—
511	D₄×C₁₃	—	8	2	no	—
512	D₄×C₁₃	—	8	2	no	—
513	D₄×C₁₃	—	8	2	no	—
514	D₄×C₁₃	—	8	1	no	—
515	D₄×C₁₃	—	8	1	no	—
516	D₄×C₁₃	—	8	2	no	—
517	D₄×C₁₃	—	8	2	no	—
518	D₄×C₁₃	—	8	1	no	—
519	D₄×C₁₃	—	8	2	no	—
520	D₄×C₁₃	—	8	2	no	—
521	D₄×C₁₃	—	8	2	no	—
522	D₄×C₁₃	—	8	2	no	—
523	D₄×C₁₃	—	8	2	no	—
524	D₄×C₁₃	—	8	1	no	—
525	D₄×C₁₃	—	8	1	no	—
526	D₄×C₁₃	—	8	2	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	2	no	—
529	C₂×C₄×C₁₃	—	2	1	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	2	no	—
532	C₂×C₄×C₁₃	—	2	2	no	—
533	C₂×C₄×C₁₃	—	2	1	no	—
534	C₂×C₄×C₁₃	—	2	1	no	—
535	C₂×C₄×C₁₃	—	2	1	no	—
536	C₂×C₄×C₁₃	—	2	2	no	—
537	C₂×C₄×C₁₃	—	2	1	no	—
538	C₂×C₄×C₁₃	—	2	1	no	—
539	C₂×C₄×C₁₃	—	4	1	no	—
540	C₂×C₄×C₁₃	—	4	2	no	—
541	C₂×C₄×C₁₃	—	4	2	no	—
542	C₂×C₄×C₁₃	—	4	2	no	—
543	C₂×C₄×C₁₃	—	8	2	no	—
544	C₂×C₄×C₁₃	—	8	2	no	—
545	C₂×C₄×C₁₃	—	8	2	no	—
546	C₂×C₄×C₁₃	—	8	2	no	—
547	C₂×C₄×C₁₃	—	8	2	no	—
548	C₂×C₄×C₁₃	—	8	2	no	—
549	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
550	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
553	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
555	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
556	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
557	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
558	C₈×C₁₃	—	2	1	no	—
559	C₈×C₁₃	—	2	2	no	—
560	C₈×C₁₃	—	2	1	no	—
561	C₈×C₁₃	—	2	2	no	—
562	C₈×C₁₃	—	2	1	no	—
563	C₈×C₁₃	—	2	1	no	—
564	#562	—	2	2	no	—
565	#560	—	2	2	no	—
566	#559	C₂²×C₁₃	1	1	yes	characteristic
567	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
568	#555	C₂²×C₁₃	1	2	yes	complemented
569	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
570	#553	C₂²×C₁₃	1	2	yes	complemented
571	#552	—	2	1	no	—
572	#550	C₂²×C₁₃	1	1	yes	characteristic
573	#550	C₂²×C₁₃	1	1	yes	characteristic
574	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
575	#548	—	2	1	no	—
576	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
577	#546	—	2	1	no	—
578	#546	C₂²×C₁₃	1	2	yes	—
579	D₄²	—	2	1	no	—
580	D₄²	C₂²×C₁₃	1	1	yes	characteristic
581	D₄²	C₂²×C₁₃	1	2	yes	—
582	#544	C₂²×C₁₃	1	2	yes	complemented
583	#542	—	2	2	no	—
584	#540	—	2	1	no	—
585	#540	C₂²×C₁₃	1	2	yes	—
586	#540	C₂²×C₁₃	1	2	yes	complemented
587	#537	—	2	1	no	—
588	#536	—	2	1	no	—
589	#535	—	2	1	no	—
590	#535	C₂²×C₁₃	1	2	yes	—
591	#534	—	2	2	no	—
592	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
593	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
595	#529	C₂²×C₁₃	1	1	yes	characteristic
596	#529	C₂²×C₁₃	1	1	yes	characteristic
597	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
598	#499	C₂²×C₁₃	1	2	yes	complemented
599	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#493	C₂²×C₁₃	1	2	yes	complemented
601	#490	C₂²×C₁₃	1	2	yes	complemented
602	#490	C₂²×C₁₃	1	2	yes	complemented
603	#490	C₂²×C₁₃	1	2	yes	complemented
604	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
605	#489	C₂²×C₁₃	1	2	yes	complemented
606	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#488	C₂²×C₁₃	1	2	yes	complemented
608	#488	C₂²×C₁₃	1	2	yes	complemented
609	#486	C₂²×C₁₃	1	1	yes	characteristic
610	#486	C₂²×C₁₃	1	1	yes	characteristic
611	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#486	C₂²×C₁₃	1	2	yes	complemented
613	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	#486	C₂²×C₁₃	1	2	yes	complemented
615	#485	C₂²×C₁₃	1	2	yes	complemented
616	#482	C₂²×C₁₃	1	2	yes	—
617	#482	C₂²×C₁₃	1	2	yes	complemented
618	#482	C₂²×C₁₃	1	2	yes	complemented
619	#481	C₂²×C₁₃	1	2	yes	complemented
620	#480	C₂²×C₁₃	1	2	yes	complemented
621	#478	C₂²×C₁₃	1	2	yes	complemented
622	#478	C₂²×C₁₃	1	2	yes	complemented
623	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
624	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
625	#476	C₂²×C₁₃	1	2	yes	complemented
626	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
628	#474	C₂²×C₁₃	1	2	yes	complemented
629	#469	C₂²×C₁₃	1	1	yes	characteristic
630	#469	C₂²×C₁₃	1	1	yes	characteristic
631	#469	C₂²×C₁₃	1	2	yes	complemented
632	#469	C₂²×C₁₃	1	2	yes	complemented
633	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	#466	C₂²×C₁₃	1	2	yes	complemented
636	#466	C₂²×C₁₃	1	2	yes	complemented
637	#463	C₂²×C₁₃	1	2	yes	complemented
638	#463	C₂²×C₁₃	1	2	yes	complemented
639	#459	C₂²×C₁₃	1	1	yes	characteristic
640	#459	C₂²×C₁₃	1	1	yes	characteristic
641	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#459	C₂²×C₁₃	1	2	yes	complemented
644	#459	C₂²×C₁₃	1	2	yes	complemented
645	#449	C₂²×C₁₃	1	2	yes	complemented
646	#449	C₂²×C₁₃	1	2	yes	complemented
647	#447	C₂²×C₁₃	1	2	yes	complemented
648	#447	C₂²×C₁₃	1	2	yes	complemented
649	#447	C₂²×C₁₃	1	2	yes	complemented
650	#447	C₂²×C₁₃	1	2	yes	complemented
651	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#442	C₂²×C₁₃	1	2	yes	complemented
654	#442	C₂²×C₁₃	1	2	yes	complemented
655	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
658	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
659	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
660	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
662	#436	C₂²×C₁₃	1	2	yes	complemented
663	#435	C₂²×C₁₃	1	2	yes	complemented
664	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
665	#433	C₂²×C₁₃	1	2	yes	complemented
666	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	#418	C₂²×C₁₃	1	2	yes	complemented
668	#418	C₂²×C₁₃	1	2	yes	complemented
669	#418	C₂²×C₁₃	1	2	yes	complemented
670	#417	C₂²×C₁₃	1	2	yes	complemented
671	#416	C₂²×C₁₃	1	2	yes	complemented
672	C₂×#102	C₂²×C₁₃	1	2	yes	complemented
673	#405	C₂²×C₁₃	1	2	yes	complemented
674	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
675	C₂²×C₁₃	—	2	1	no	—
676	C₂²×C₁₃	—	2	2	no	—
677	C₂²×C₁₃	—	2	2	no	—
678	C₂²×C₁₃	—	2	1	no	—
679	C₂²×C₁₃	—	2	1	no	—
680	C₂²×C₁₃	—	2	2	no	—
681	C₂²×C₁₃	—	4	1	no	—
682	C₂²×C₁₃	—	4	2	no	—
683	C₂²×C₁₃	—	4	1	no	—
684	C₂²×C₁₃	—	4	2	no	—
685	C₂²×C₁₃	—	4	1	no	—
686	C₂²×C₁₃	—	4	2	no	—
687	C₂²×C₁₃	—	4	2	no	—
688	C₂²×C₁₃	—	4	1	no	—
689	C₂²×C₁₃	—	4	1	no	—
690	C₂²×C₁₃	—	4	1	no	—
691	C₂²×C₁₃	—	4	1	no	—
692	C₂²×C₁₃	—	4	1	no	—
693	C₂²×C₁₃	—	4	1	no	—
694	C₂²×C₁₃	—	4	2	no	—
695	C₂²×C₁₃	—	4	2	no	—
696	C₂²×C₁₃	—	16	4	no	—
697	C₂²×C₁₃	—	16	4	no	—
698	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
699	C₄×C₁₃	—	2	1	no	—
700	C₄×C₁₃	—	2	1	no	—
701	C₄×C₁₃	—	2	2	no	—
702	C₄×C₁₃	—	2	2	no	—
703	C₄×C₁₃	—	2	1	no	—
704	C₄×C₁₃	—	2	1	no	—
705	C₄×C₁₃	—	2	2	no	—
706	C₄×C₁₃	—	4	1	no	—
707	C₄×C₁₃	—	4	2	no	—
708	C₄×C₁₃	—	4	1	no	—
709	C₄×C₁₃	—	4	1	no	—
710	C₄×C₁₃	—	4	1	no	—
711	C₄×C₁₃	—	4	1	no	—
712	C₄×C₁₃	—	4	2	no	—
713	C₄×C₁₃	#576	1	2	yes	—
714	C₄×C₁₃	#585	1	1	yes	characteristic
715	C₄×C₁₃	#585	1	1	yes	characteristic
716	C₂×#41	—	2	1	no	—
717	C₂×#41	—	2	1	no	—
718	C₂×#41	—	2	1	no	—
719	C₂×#41	C₂³×C₁₃	1	2	yes	—
720	C₂²×Q₈	—	2	1	no	—
721	C₂²×D₄	—	2	2	no	—
722	C₂²×D₄	—	2	1	no	—
723	C₂²×D₄	—	2	1	no	—
724	C₂²×D₄	—	2	1	no	—
725	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
726	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
727	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
728	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
729	C₂×D₈	C₂³×C₁₃	1	2	yes	—
730	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
731	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
732	C₂×D₈	C₂³×C₁₃	1	2	yes	—
733	C₂×D₈	C₂³×C₁₃	1	2	yes	—
734	C₂×D₈	C₂³×C₁₃	1	2	yes	—
735	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
736	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
737	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
738	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
739	C₄⋊Q₈	—	2	2	no	—
740	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
741	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
742	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
743	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
744	#127	—	2	1	no	—
745	#127	—	2	1	no	—
746	#127	—	2	1	no	—
747	#127	C₂³×C₁₃	1	2	yes	—
748	#127	C₂³×C₁₃	1	1	yes	characteristic
749	#127	C₂³×C₁₃	1	1	yes	characteristic
750	#127	C₂³×C₁₃	1	1	yes	characteristic
751	#127	C₂³×C₁₃	1	2	yes	—
752	#126	—	2	2	no	—
753	#126	—	2	1	no	—
754	#126	D₄×C₁₃	1	2	yes	—
755	#125	—	2	2	no	—
756	#125	D₄×C₁₃	1	1	yes	characteristic
757	#125	C₂³×C₁₃	1	1	yes	characteristic
758	#125	C₂³×C₁₃	1	2	yes	—
759	#125	C₂³×C₁₃	1	2	yes	—
760	#124	—	2	1	no	—
761	#124	—	2	2	no	—
762	#124	—	2	2	no	—
763	#124	—	2	2	no	—
764	#124	—	2	1	no	—
765	#124	D₄×C₁₃	1	1	yes	characteristic
766	#124	C₂³×C₁₃	1	1	yes	characteristic
767	#124	C₂³×C₁₃	1	2	yes	—
768	#123	—	2	1	no	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	#123	—	2	2	no	—
776	#123	—	2	2	no	—
777	#123	D₄×C₁₃	1	2	yes	—
778	C₂²⋊Q₈	—	2	1	no	—
779	C₂²⋊Q₈	—	2	1	no	—
780	C₂²⋊Q₈	—	2	1	no	—
781	C₂²⋊Q₈	—	2	1	no	—
782	C₂²⋊Q₈	—	2	1	no	—
783	C₂²⋊Q₈	—	2	2	no	—
784	C₂²⋊Q₈	—	2	2	no	—
785	C₂²⋊Q₈	—	2	2	no	—
786	C₂²⋊Q₈	—	2	2	no	—
787	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
788	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
789	#121	—	2	1	no	—
790	#121	—	2	2	no	—
791	#121	—	2	2	no	—
792	#121	—	2	1	no	—
793	#121	—	2	2	no	—
794	#121	—	2	2	no	—
795	#121	—	2	2	no	—
796	#121	—	2	1	no	—
797	#121	—	2	1	no	—
798	#121	—	2	2	no	—
799	#121	—	2	2	no	—
800	#121	—	2	2	no	—
801	#121	—	2	2	no	—
802	#121	—	2	2	no	—
803	#121	—	2	2	no	—
804	#121	—	2	2	no	—
805	#121	D₄×C₁₃	1	1	yes	characteristic
806	#121	C₂³×C₁₃	1	1	yes	characteristic
807	#121	C₂³×C₁₃	1	1	yes	characteristic
808	#121	C₂³×C₁₃	1	1	yes	characteristic
809	#121	C₂³×C₁₃	1	2	yes	—
810	#121	C₂³×C₁₃	1	2	yes	—
811	#121	C₂³×C₁₃	1	2	yes	—
812	#121	C₂³×C₁₃	1	2	yes	—
813	#120	—	2	2	no	—
814	#120	—	2	2	no	—
815	#120	—	2	2	no	—
816	#120	—	2	2	no	—
817	#120	—	2	2	no	—
818	#120	—	2	2	no	—
819	C₄×Q₈	—	2	1	no	—
820	C₄×Q₈	—	2	1	no	—
821	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
822	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
823	C₄×D₄	—	2	1	no	—
824	C₄×D₄	—	2	1	no	—
825	C₄×D₄	—	2	1	no	—
826	C₄×D₄	—	2	2	no	—
827	C₄×D₄	—	2	1	no	—
828	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
829	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
830	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
831	C₄×D₄	C₂³×C₁₃	1	2	yes	—
832	C₄×D₄	C₂³×C₁₃	1	2	yes	—
833	C₄×D₄	C₂³×C₁₃	1	2	yes	—
834	C₄×D₄	C₂³×C₁₃	1	2	yes	—
835	C₄×D₄	C₂³×C₁₃	1	2	yes	—
836	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
837	#117	—	2	1	no	—
838	#117	—	2	2	no	—
839	#117	—	2	1	no	—
840	#117	C₂³×C₁₃	1	2	yes	—
841	#117	C₂³×C₁₃	1	2	yes	—
842	#117	C₂³×C₁₃	1	2	yes	—
843	C₂×C₄⋊C₄	—	2	1	no	—
844	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
845	C₂×C₂²⋊C₄	—	2	2	no	—
846	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
847	#107	C₂³×C₁₃	1	2	yes	—
848	#107	C₂³×C₁₃	1	2	yes	—
849	#107	C₂³×C₁₃	1	1	yes	characteristic
850	#107	C₂³×C₁₃	1	1	yes	characteristic
851	#106	C₂³×C₁₃	1	1	yes	characteristic
852	#106	C₂³×C₁₃	1	1	yes	characteristic
853	#106	C₂³×C₁₃	1	2	yes	—
854	#106	C₂³×C₁₃	1	2	yes	—
855	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
856	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
857	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
858	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
859	#103	C₂³×C₁₃	1	1	yes	characteristic
860	#103	C₂³×C₁₃	1	2	yes	—
861	#103	C₂³×C₁₃	1	1	yes	characteristic
862	#103	C₂³×C₁₃	1	2	yes	—
863	#102	C₂³×C₁₃	1	1	yes	characteristic
864	#102	C₂³×C₁₃	1	2	yes	—
865	#102	C₂³×C₁₃	1	2	yes	—
866	#102	C₂³×C₁₃	1	2	yes	—
867	#102	C₂³×C₁₃	1	2	yes	—
868	#102	C₂³×C₁₃	1	2	yes	—
869	#102	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	2	yes	—
871	#102	C₂³×C₁₃	1	1	yes	characteristic
872	#102	C₂³×C₁₃	1	2	yes	—
873	#102	C₂³×C₁₃	1	2	yes	—
874	#102	C₂³×C₁₃	1	2	yes	—
875	#102	C₂³×C₁₃	1	2	yes	—
876	#102	C₂³×C₁₃	1	2	yes	—
877	#102	C₂³×C₁₃	1	2	yes	—
878	#102	C₂³×C₁₃	1	2	yes	—
879	#102	C₂³×C₁₃	1	1	yes	characteristic
880	#102	C₂³×C₁₃	1	1	yes	characteristic
881	#102	C₂³×C₁₃	1	1	yes	characteristic
882	#102	C₂³×C₁₃	1	1	yes	characteristic
883	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
884	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
885	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
886	#97	C₂³×C₁₃	1	1	yes	characteristic
887	#97	C₂³×C₁₃	1	1	yes	characteristic
888	#97	C₂³×C₁₃	1	2	yes	—
889	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
890	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
891	C₄×C₈	C₂³×C₁₃	1	2	yes	—
892	C₄×C₈	C₂³×C₁₃	1	2	yes	—
893	C₂×C₁₃	—	4	2	no	—
894	C₂×C₁₃	—	4	1	no	—
895	C₂×C₁₃	—	8	1	no	—
896	C₂×C₁₃	—	8	1	no	—
897	C₂×C₁₃	—	8	2	no	—
898	C₂×C₁₃	—	8	2	no	—
899	C₂×C₁₃	—	8	1	no	—
900	C₂×C₁₃	#3500	1	1	yes	characteristic
901	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
902	C₂×C₁₃	#3585	1	1	yes	characteristic
903	C₂⁴	—	2	2	no	—
904	C₂⁴	—	2	2	no	—
905	#41	—	4	2	no	—
906	#41	—	4	2	no	—
907	#41	—	8	2	no	—
908	#41	—	8	2	no	—
909	#41	—	8	2	no	—
910	C₂×Q₈	—	2	1	no	—
911	C₂×Q₈	—	2	1	no	—
912	C₂×Q₈	—	2	2	no	—
913	C₂×Q₈	—	2	1	no	—
914	C₂×Q₈	—	8	2	no	—
915	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
916	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
917	C₂×D₄	—	2	1	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	1	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	1	no	—
925	C₂×D₄	—	2	1	no	—
926	C₂×D₄	—	2	1	no	—
927	C₂×D₄	—	2	1	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	1	no	—
931	C₂×D₄	—	2	2	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	2	2	no	—
935	C₂×D₄	—	2	1	no	—
936	C₂×D₄	—	2	1	no	—
937	C₂×D₄	—	4	2	no	—
938	C₂×D₄	—	4	2	no	—
939	C₂×D₄	—	4	2	no	—
940	C₂×D₄	—	4	2	no	—
941	C₂×D₄	—	8	2	no	—
942	C₂×D₄	—	8	2	no	—
943	C₂×D₄	—	8	2	no	—
944	C₂×D₄	—	8	4	no	—
945	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
946	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
947	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
948	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
949	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
950	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
951	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	2	1	no	—
954	C₂²×C₄	—	2	1	no	—
955	C₂²×C₄	—	2	1	no	—
956	C₂²×C₄	—	2	2	no	—
957	C₂²×C₄	—	2	2	no	—
958	C₂²×C₄	—	2	2	no	—
959	C₂²×C₄	—	2	2	no	—
960	C₂²×C₄	—	2	2	no	—
961	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
962	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
963	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
965	SD₁₆	—	4	1	no	—
966	SD₁₆	—	4	1	no	—
967	D₈	—	4	2	no	—
968	D₈	—	4	2	no	—
969	D₈	—	4	2	no	—
970	D₈	—	4	2	no	—
971	D₈	—	4	1	no	—
972	D₈	—	4	1	no	—
973	M₁₆	—	4	1	no	—
974	M₁₆	—	4	2	no	—
975	M₁₆	—	4	1	no	—
976	C₂×C₈	—	4	2	no	—
977	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
978	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
979	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
980	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
981	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
982	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	—	2	1	no	—
995	C₄⋊C₄	—	2	1	no	—
996	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
997	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
998	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
999	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1000	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1001	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1002	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1003	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1004	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1005	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1006	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1007	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1008	C₂²⋊C₄	—	2	1	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	1	no	—
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	—	2	1	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	1	no	—
1019	C₂²⋊C₄	—	2	1	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	1	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	2	1	no	—
1027	C₂²⋊C₄	—	2	2	no	—
1028	C₂²⋊C₄	—	2	1	no	—
1029	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1030	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1031	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1032	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1033	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1034	C₄²	—	2	2	no	—
1035	C₄²	—	2	2	no	—
1036	C₄²	—	2	1	no	—
1037	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1038	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1039	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1040	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1041	C₄²	C₂⁴×C₁₃	1	2	yes	—
1042	C₁₃	#62610	1	1	yes	characteristic, direct product factor, Sylow
1043	C₂³	—	2	1	no	—
1044	C₂³	—	2	1	no	—
1045	C₂³	—	2	1	no	—
1046	C₂³	—	2	2	no	—
1047	C₂³	—	2	2	no	—
1048	C₂³	—	4	4	no	—
1049	C₂³	—	8	2	no	—
1050	C₂³	—	8	2	no	—
1051	C₂³	—	8	2	no	—
1052	C₂³	—	8	2	no	—
1053	C₂³	—	8	2	no	—
1054	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1055	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1056	Q₈	—	2	2	no	—
1057	Q₈	—	2	1	no	—
1058	Q₈	—	2	1	no	—
1059	Q₈	—	4	2	no	—
1060	Q₈	—	8	2	no	—
1061	Q₈	—	8	1	no	—
1062	Q₈	—	8	1	no	—
1063	D₄	—	2	2	no	—
1064	D₄	—	2	1	no	—
1065	D₄	—	2	1	no	—
1066	D₄	—	2	1	no	—
1067	D₄	—	2	1	no	—
1068	D₄	—	2	2	no	—
1069	D₄	—	2	1	no	—
1070	D₄	—	2	2	no	—
1071	D₄	—	2	1	no	—
1072	D₄	—	2	2	no	—
1073	D₄	—	2	2	no	—
1074	D₄	—	4	2	no	—
1075	D₄	—	4	2	no	—
1076	D₄	—	4	2	no	—
1077	D₄	—	4	2	no	—
1078	D₄	—	8	2	no	—
1079	D₄	—	8	2	no	—
1080	D₄	—	8	2	no	—
1081	D₄	—	8	2	no	—
1082	D₄	—	8	1	no	—
1083	D₄	—	8	1	no	—
1084	D₄	—	8	2	no	—
1085	D₄	—	8	1	no	—
1086	D₄	—	8	1	no	—
1087	D₄	—	8	2	no	—
1088	D₄	—	8	2	no	—
1089	D₄	—	8	2	no	—
1090	D₄	—	8	2	no	—
1091	D₄	—	8	2	no	—
1092	D₄	—	8	1	no	—
1093	D₄	—	8	1	no	—
1094	D₄	—	8	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	1	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	4	1	no	—
1108	C₂×C₄	—	4	2	no	—
1109	C₂×C₄	—	4	2	no	—
1110	C₂×C₄	—	4	2	no	—
1111	C₂×C₄	—	8	2	no	—
1112	C₂×C₄	—	8	2	no	—
1113	C₂×C₄	—	8	2	no	—
1114	C₂×C₄	—	8	2	no	—
1115	C₂×C₄	—	8	2	no	—
1116	C₂×C₄	—	8	2	no	—
1117	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1118	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1119	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1120	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1121	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1122	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1123	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1124	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1125	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1126	C₈	—	2	1	no	—
1127	C₈	—	2	2	no	—
1128	C₈	—	2	1	no	—
1129	C₈	—	2	2	no	—
1130	C₈	—	2	1	no	—
1131	C₈	—	2	1	no	—
1132	C₂²	—	2	1	no	—
1133	C₂²	—	2	2	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	2	no	—
1136	C₂²	—	2	2	no	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	4	1	no	—
1139	C₂²	—	4	1	no	—
1140	C₂²	—	4	1	no	—
1141	C₂²	—	4	2	no	—
1142	C₂²	—	4	2	no	—
1143	C₂²	—	4	1	no	—
1144	C₂²	—	4	2	no	—
1145	C₂²	—	4	1	no	—
1146	C₂²	—	4	2	no	—
1147	C₂²	—	4	1	no	—
1148	C₂²	—	4	2	no	—
1149	C₂²	—	4	1	no	—
1150	C₂²	—	4	2	no	—
1151	C₂²	—	4	1	no	—
1152	C₂²	—	4	1	no	—
1153	C₂²	—	16	4	no	—
1154	C₂²	—	16	4	no	—
1155	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1156	C₄	—	2	1	no	—
1157	C₄	—	2	2	no	—
1158	C₄	—	2	1	no	—
1159	C₄	—	2	1	no	—
1160	C₄	—	2	2	no	—
1161	C₄	—	2	2	no	—
1162	C₄	—	2	1	no	—
1163	C₄	—	4	1	no	—
1164	C₄	—	4	1	no	—
1165	C₄	—	4	1	no	—
1166	C₄	—	4	2	no	—
1167	C₄	—	4	1	no	—
1168	C₄	—	4	2	no	—
1169	C₄	—	4	1	no	—
1170	C₄	C₁₃×#576	1	2	yes	—
1171	C₄	C₁₃×#585	1	1	yes	characteristic
1172	C₄	C₁₃×#585	1	1	yes	characteristic
1173	C₂	—	4	1	no	—
1174	C₂	—	4	2	no	—
1175	C₂	—	8	1	no	—
1176	C₂	—	8	2	no	—
1177	C₂	—	8	2	no	—
1178	C₂	—	8	1	no	—
1179	C₂	—	8	1	no	—
1180	C₂	C₁₃×#3500	1	1	yes	characteristic
1181	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1182	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3547	C₂	semidirect
2. C₁₃×#3543	C₂	semidirect
3. C₁₃×#3373	C₂	semidirect
4. C₁₃×#3366	C₂	semidirect
5. C₁₃×#3361	C₂	semidirect
6. C₁₃×#3358	C₂	semidirect
7. C₁₃×#3332	C₂	semidirect
8. C₁₃×#3325	C₂	semidirect
9. C₁₃×#3325	C₂	semidirect
10. C₁₃×#3322	C₂	semidirect
11. C₁₃×#3319	C₂	semidirect
12. C₁₃×#3318	C₂	semidirect
13. C₁₃×#3305	C₂	semidirect
14. C₁₃×#3294	C₂	semidirect
15. C₁₃×#3241	C₂	semidirect
16. C₁₃×#3233	C₂	semidirect
17. C₁₃×#3220	C₂	semidirect
18. C₁₃×#3205	C₂	semidirect
19. C₁₃×#3176	C₂	semidirect
20. C₁₃×#3171	C₂	semidirect
21. C₁₃×#3138	C₂	semidirect
22. C₁₃×#3136	C₂	semidirect
23. C₁₃×#2969	C₂	semidirect
27. C₁₃×#555	C₂²	semidirect
28. C₁₃×#555	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
30. C₁₃×#553	C₂²	semidirect
34. D₄×Q₈×C₁₃	C₂²	semidirect
36. C₁₃×#547	C₂²	semidirect
42. C₁₃×#544	C₂²	semidirect
46. C₁₃×#540	C₂²	semidirect
52. C₁₃×#533	C₂²	semidirect
53. C₁₃×#532	C₂²	semidirect
57. C₁₃×#501	C₂²	semidirect
58. C₁₃×#499	C₂²	semidirect
59. C₁₃×#496	C₂²	semidirect
60. C₁₃×#493	C₂²	semidirect
61. C₁₃×#490	C₂²	semidirect
62. C₁₃×#490	C₂²	semidirect
63. C₁₃×#490	C₂²	semidirect
64. C₁₃×#490	C₂²	semidirect
65. C₁₃×#489	C₂²	semidirect
66. C₁₃×#489	C₂²	semidirect
67. C₁₃×#488	C₂²	semidirect
68. C₁₃×#488	C₂²	semidirect
71. C₁₃×#486	C₂²	semidirect
72. C₁₃×#486	C₂²	semidirect
73. C₁₃×#486	C₂²	semidirect
74. C₁₃×#486	C₂²	semidirect
75. C₁₃×#485	C₂²	semidirect
77. C₁₃×#482	C₂²	semidirect
78. C₁₃×#482	C₂²	semidirect
79. C₁₃×#481	C₂²	semidirect
80. C₁₃×#480	C₂²	semidirect
81. C₁₃×#478	C₂²	semidirect
82. C₁₃×#478	C₂²	semidirect
83. C₁₃×#477	C₂²	semidirect
84. C₁₃×#476	C₂²	semidirect
85. C₁₃×#476	C₂²	semidirect
86. C₁₃×#475	C₂²	semidirect
87. C₁₃×#474	C₂²	semidirect
88. C₁₃×#474	C₂²	semidirect
91. C₁₃×#469	C₂²	semidirect
92. C₁₃×#469	C₂²	semidirect
93. C₁₃×#468	C₂²	semidirect
94. C₁₃×#468	C₂²	semidirect
95. C₁₃×#466	C₂²	semidirect
96. C₁₃×#466	C₂²	semidirect
97. C₁₃×#463	C₂²	semidirect
98. C₁₃×#463	C₂²	semidirect
101. C₁₃×#459	C₂²	semidirect
102. C₁₃×#459	C₂²	semidirect
103. C₁₃×#459	C₂²	semidirect
104. C₁₃×#459	C₂²	semidirect
105. C₁₃×#449	C₂²	semidirect
106. C₁₃×#449	C₂²	semidirect
107. C₁₃×#447	C₂²	semidirect
108. C₁₃×#447	C₂²	semidirect
109. C₁₃×#447	C₂²	semidirect
110. C₁₃×#447	C₂²	semidirect
111. C₁₃×#446	C₂²	semidirect
112. C₈×Q₈×C₁₃	C₂²	semidirect
113. C₁₃×#442	C₂²	semidirect
114. C₁₃×#442	C₂²	semidirect
115. C₄×C₁₃×SD₁₆	C₂²	semidirect
116. C₄×C₁₃×SD₁₆	C₂²	semidirect
117. C₄×C₁₃×D₈	C₂²	semidirect
118. C₄×C₁₃×D₈	C₂²	semidirect
119. C₄×C₁₃×D₈	C₂²	semidirect
120. C₄×C₁₃×D₈	C₂²	semidirect
121. C₁₃×#436	C₂²	semidirect
122. C₁₃×#436	C₂²	semidirect
123. C₁₃×#435	C₂²	semidirect
124. C₈×D₄×C₁₃	C₂²	semidirect
125. C₁₃×#433	C₂²	semidirect
126. C₁₃×#431	C₂²	semidirect
127. C₁₃×#418	C₂²	semidirect
128. C₁₃×#418	C₂²	semidirect
129. C₁₃×#418	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
131. C₁₃×#416	C₂²	semidirect
132. C₂×C₁₃×#102	C₂²	semidirect
133. C₁₃×#405	C₂²	semidirect
134. C₄×C₁₃×M₁₆	C₂²	semidirect
312. #62610	C₁₃	direct (N × H)
452. #3547	C₂×C₁₃	semidirect
453. #3543	C₂×C₁₃	semidirect
454. #3373	C₂×C₁₃	semidirect
455. #3366	C₂×C₁₃	semidirect
456. #3361	C₂×C₁₃	semidirect
457. #3358	C₂×C₁₃	semidirect
458. #3332	C₂×C₁₃	semidirect
459. #3325	C₂×C₁₃	semidirect
460. #3325	C₂×C₁₃	semidirect
461. #3322	C₂×C₁₃	semidirect
462. #3319	C₂×C₁₃	semidirect
463. #3318	C₂×C₁₃	semidirect
464. #3305	C₂×C₁₃	semidirect
465. #3294	C₂×C₁₃	semidirect
466. #3241	C₂×C₁₃	semidirect
467. #3233	C₂×C₁₃	semidirect
468. #3220	C₂×C₁₃	semidirect
469. #3205	C₂×C₁₃	semidirect
470. #3176	C₂×C₁₃	semidirect
471. #3171	C₂×C₁₃	semidirect
472. #3138	C₂×C₁₃	semidirect
473. #3136	C₂×C₁₃	semidirect
474. #2969	C₂×C₁₃	semidirect
567. #555	C₂²×C₁₃	semidirect
568. #555	C₂²×C₁₃	semidirect
569. #554	C₂²×C₁₃	semidirect
570. #553	C₂²×C₁₃	semidirect
574. D₄×Q₈	C₂²×C₁₃	semidirect
576. #547	C₂²×C₁₃	semidirect
582. #544	C₂²×C₁₃	semidirect
586. #540	C₂²×C₁₃	semidirect
592. #533	C₂²×C₁₃	semidirect
593. #532	C₂²×C₁₃	semidirect
597. #501	C₂²×C₁₃	semidirect
598. #499	C₂²×C₁₃	semidirect
599. #496	C₂²×C₁₃	semidirect
600. #493	C₂²×C₁₃	semidirect
601. #490	C₂²×C₁₃	semidirect
602. #490	C₂²×C₁₃	semidirect
603. #490	C₂²×C₁₃	semidirect
604. #490	C₂²×C₁₃	semidirect
605. #489	C₂²×C₁₃	semidirect
606. #489	C₂²×C₁₃	semidirect
607. #488	C₂²×C₁₃	semidirect
608. #488	C₂²×C₁₃	semidirect
611. #486	C₂²×C₁₃	semidirect
612. #486	C₂²×C₁₃	semidirect
613. #486	C₂²×C₁₃	semidirect
614. #486	C₂²×C₁₃	semidirect
615. #485	C₂²×C₁₃	semidirect
617. #482	C₂²×C₁₃	semidirect
618. #482	C₂²×C₁₃	semidirect
619. #481	C₂²×C₁₃	semidirect
620. #480	C₂²×C₁₃	semidirect
621. #478	C₂²×C₁₃	semidirect
622. #478	C₂²×C₁₃	semidirect
623. #477	C₂²×C₁₃	semidirect
624. #476	C₂²×C₁₃	semidirect
625. #476	C₂²×C₁₃	semidirect
626. #475	C₂²×C₁₃	semidirect
627. #474	C₂²×C₁₃	semidirect
628. #474	C₂²×C₁₃	semidirect
631. #469	C₂²×C₁₃	semidirect
632. #469	C₂²×C₁₃	semidirect
633. #468	C₂²×C₁₃	semidirect
634. #468	C₂²×C₁₃	semidirect
635. #466	C₂²×C₁₃	semidirect
636. #466	C₂²×C₁₃	semidirect
637. #463	C₂²×C₁₃	semidirect
638. #463	C₂²×C₁₃	semidirect
641. #459	C₂²×C₁₃	semidirect
642. #459	C₂²×C₁₃	semidirect
643. #459	C₂²×C₁₃	semidirect
644. #459	C₂²×C₁₃	semidirect
645. #449	C₂²×C₁₃	semidirect
646. #449	C₂²×C₁₃	semidirect
647. #447	C₂²×C₁₃	semidirect
648. #447	C₂²×C₁₃	semidirect
649. #447	C₂²×C₁₃	semidirect
650. #447	C₂²×C₁₃	semidirect
651. #446	C₂²×C₁₃	semidirect
652. C₈×Q₈	C₂²×C₁₃	semidirect
653. #442	C₂²×C₁₃	semidirect
654. #442	C₂²×C₁₃	semidirect
655. C₄×SD₁₆	C₂²×C₁₃	semidirect
656. C₄×SD₁₆	C₂²×C₁₃	semidirect
657. C₄×D₈	C₂²×C₁₃	semidirect
658. C₄×D₈	C₂²×C₁₃	semidirect
659. C₄×D₈	C₂²×C₁₃	semidirect
660. C₄×D₈	C₂²×C₁₃	semidirect
661. #436	C₂²×C₁₃	semidirect
662. #436	C₂²×C₁₃	semidirect
663. #435	C₂²×C₁₃	semidirect
664. C₈×D₄	C₂²×C₁₃	semidirect
665. #433	C₂²×C₁₃	semidirect
666. #431	C₂²×C₁₃	semidirect
667. #418	C₂²×C₁₃	semidirect
668. #418	C₂²×C₁₃	semidirect
669. #418	C₂²×C₁₃	semidirect
670. #417	C₂²×C₁₃	semidirect
671. #416	C₂²×C₁₃	semidirect
672. C₂×#102	C₂²×C₁₃	semidirect
673. #405	C₂²×C₁₃	semidirect
674. C₄×M₁₆	C₂²×C₁₃	semidirect
1042. C₁₃	#62610	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×#3547	2
C₁₃×#3543	2
C₁₃×#3373	2
C₁₃×#3366	2
C₁₃×#3361	2
C₁₃×#3358	2
C₁₃×#3332	2
C₁₃×#3325	2
C₁₃×#3322	2
C₁₃×#3319	2
C₁₃×#3318	2
C₁₃×#3305	2
C₁₃×#3294	2
C₁₃×#3241	2
C₁₃×#3233	2
C₁₃×#3220	2
C₁₃×#3205	2
C₁₃×#3176	2
C₁₃×#3171	2
C₁₃×#3138	2
C₁₃×#3136	2
C₁₃×#2969	2
#62610	13

Subgroups — C13×#62610 #15748949

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62610 #15748949