Subgroups — C₁₃×#62563 #15748902

Order 3328.

1724 conjugacy classes of subgroups.

The subgroup lattice has 1134 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3555	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3546	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3364	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3362	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3331	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3324	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3317	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3311	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3304	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3296	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3295	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3244	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3235	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3222	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3216	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3178	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3167	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3136	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3131	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#563	—	2	2	no	—
25	C₁₃×#560	—	2	2	no	—
26	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#557	—	2	1	no	—
28	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#556	—	2	1	no	—
30	C₁₃×#556	C₂²	1	1	yes	characteristic
31	C₁₃×#556	C₂²	1	1	yes	characteristic
32	C₁₃×#556	C₂²	1	2	yes	complemented
33	C₁₃×#554	C₂²	1	1	yes	characteristic
34	C₁₃×#553	—	2	1	no	—
35	C₁₃×#552	C₂²	1	2	yes	complemented
36	C₁₃×#550	C₂²	1	2	yes	—
37	C₁₃×#550	C₂²	1	1	yes	characteristic
38	C₁₃×#547	C₂²	1	1	yes	characteristic
39	C₁₃×#546	—	2	1	no	—
40	C₁₃×#546	C₂²	1	2	yes	—
41	D₄²×C₁₃	C₂²	1	1	yes	characteristic
42	C₁₃×#544	C₂²	1	2	yes	complemented
43	C₁₃×#542	—	2	1	no	—
44	C₁₃×#542	C₂²	1	2	yes	—
45	C₁₃×#541	—	2	2	no	—
46	C₁₃×#541	—	2	1	no	—
47	C₁₃×#541	C₂²	1	2	yes	complemented
48	C₁₃×#538	—	2	2	no	—
49	C₁₃×#537	—	2	1	no	—
50	C₁₃×#535	—	2	1	no	—
51	C₁₃×#535	C₂²	1	2	yes	—
52	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₁₃×#529	C₂²	1	1	yes	characteristic
57	C₁₃×#501	C₂²	1	2	yes	complemented
58	C₁₃×#498	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#497	C₂²	1	2	yes	complemented
60	C₁₃×#492	C₂²	1	1	yes	characteristic
61	C₁₃×#490	C₂²	1	2	yes	—
62	C₁₃×#490	C₂²	1	2	yes	complemented
63	C₁₃×#489	C₂²	1	2	yes	—
64	C₁₃×#489	C₂²	1	2	yes	complemented
65	C₁₃×#488	C₂²	1	2	yes	—
66	C₁₃×#488	C₂²	1	2	yes	complemented
67	C₁₃×#488	C₂²	1	2	yes	complemented
68	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#486	C₂²	1	1	yes	characteristic
72	C₁₃×#486	C₂²	1	1	yes	characteristic
73	C₁₃×#486	C₂²	1	1	yes	characteristic
74	C₁₃×#486	C₂²	1	2	yes	complemented
75	C₁₃×#485	C₂²	1	2	yes	complemented
76	C₁₃×#483	C₂²	1	2	yes	complemented
77	C₁₃×#482	C₂²	1	2	yes	—
78	C₁₃×#482	C₂²	1	2	yes	—
79	C₁₃×#482	C₂²	1	2	yes	complemented
80	C₁₃×#481	C₂²	1	2	yes	—
81	C₁₃×#479	C₂²	1	2	yes	complemented
82	C₁₃×#478	C₂²	1	2	yes	complemented
83	C₁₃×#476	C₂²	1	1	yes	characteristic
84	C₁₃×#476	C₂²	1	2	yes	complemented
85	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#475	C₂²	1	2	yes	complemented
87	C₁₃×#474	C₂²	1	1	yes	characteristic
88	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#470	C₂²	1	2	yes	complemented
90	C₁₃×#468	C₂²	1	2	yes	—
91	C₁₃×#467	C₂²	1	2	yes	complemented
92	C₁₃×#465	C₂²	1	2	yes	—
93	C₁₃×#465	C₂²	1	1	yes	characteristic
94	C₁₃×#465	C₂²	1	1	yes	characteristic
95	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#464	C₂²	1	2	yes	—
98	C₁₃×#464	C₂²	1	2	yes	—
99	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#460	C₂²	1	1	yes	characteristic
102	C₁₃×#460	C₂²	1	1	yes	characteristic
103	C₁₃×#460	C₂²	1	2	yes	complemented
104	C₁₃×#460	C₂²	1	2	yes	complemented
105	C₁₃×#452	C₂²	1	2	yes	complemented
106	C₁₃×#452	C₂²	1	2	yes	complemented
107	C₁₃×#452	C₂²	1	2	yes	complemented
108	C₁₃×#452	C₂²	1	2	yes	complemented
109	C₁₃×#450	C₂²	1	2	yes	—
110	C₁₃×#450	C₂²	1	2	yes	—
111	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
112	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#441	C₂²	1	2	yes	complemented
114	C₁₃×#440	C₂²	1	2	yes	complemented
115	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
116	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
119	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#436	C₂²	1	1	yes	characteristic
122	C₁₃×#435	C₂²	1	2	yes	complemented
123	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
124	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
125	C₁₃×#433	C₂²	1	2	yes	complemented
126	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#418	C₂²	1	2	yes	—
128	C₁₃×#417	C₂²	1	2	yes	complemented
129	C₁₃×#416	C₂²	1	2	yes	complemented
130	C₁₃×#416	C₂²	1	2	yes	complemented
131	C₁₃×#416	C₂²	1	2	yes	complemented
132	C₂×C₁₃×#102	C₂²	1	2	yes	—
133	C₁₃×#405	C₂²	1	2	yes	complemented
134	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	C₂³	1	2	yes	—
138	C₂×C₁₃×#41	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃	—	2	1	no	—
140	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
141	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
142	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×SD₁₆	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×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
150	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
153	C₁₃×C₄⋊Q₈	—	2	1	no	—
154	C₁₃×C₄⋊Q₈	—	2	2	no	—
155	C₁₃×C₄⋊Q₈	—	2	1	no	—
156	C₁₃×C₄⋊Q₈	—	2	2	no	—
157	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
158	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×#127	—	2	2	no	—
165	C₁₃×#127	C₂³	1	1	yes	characteristic
166	C₁₃×#127	C₂³	1	2	yes	—
167	C₁₃×#127	C₂³	1	1	yes	characteristic
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	D₄	1	2	yes	—
177	C₁₃×#125	—	2	2	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	—	2	2	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	D₄	1	1	yes	characteristic
185	C₁₃×#125	C₂³	1	2	yes	—
186	C₁₃×#125	C₂³	1	2	yes	—
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	—	2	2	no	—
189	C₁₃×#124	—	2	2	no	—
190	C₁₃×#124	—	2	1	no	—
191	C₁₃×#124	D₄	1	1	yes	characteristic
192	C₁₃×#124	C₂³	1	2	yes	—
193	C₁₃×#124	C₂³	1	2	yes	—
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	D₄	1	2	yes	—
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	1	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	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
208	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
211	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	1	no	—
215	C₁₃×#121	—	2	1	no	—
216	C₁₃×#121	—	2	1	no	—
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	1	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	D₄	1	1	yes	characteristic
226	C₁₃×#121	C₂³	1	1	yes	characteristic
227	C₁₃×#121	C₂³	1	2	yes	—
228	C₁₃×#121	C₂³	1	1	yes	characteristic
229	C₁₃×#120	—	2	2	no	—
230	C₁₃×#120	—	2	2	no	—
231	C₁₃×#120	—	2	2	no	—
232	C₁₃×#120	—	2	2	no	—
233	C₄×Q₈×C₁₃	—	2	1	no	—
234	C₄×Q₈×C₁₃	—	2	1	no	—
235	C₄×Q₈×C₁₃	—	2	2	no	—
236	C₄×Q₈×C₁₃	—	2	1	no	—
237	C₄×Q₈×C₁₃	—	2	1	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×Q₈×C₁₃	C₂³	1	2	yes	—
243	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
244	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
245	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	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	1	no	—
258	C₁₃×#117	—	2	2	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×#106	C₂³	1	1	yes	characteristic
269	C₁₃×#106	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	2	yes	—
279	C₁₃×#103	C₂³	1	2	yes	—
280	C₁₃×#103	C₂³	1	2	yes	—
281	C₁₃×#103	C₂³	1	2	yes	—
282	C₁₃×#103	C₂³	1	2	yes	—
283	C₁₃×#103	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#102	C₂³	1	1	yes	characteristic
289	C₁₃×#102	C₂³	1	2	yes	—
290	C₁₃×#102	C₂³	1	2	yes	—
291	C₁₃×#102	C₂³	1	2	yes	—
292	C₁₃×#102	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	1	yes	characteristic
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
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	2	yes	—
306	C₁₃×#97	C₂³	1	2	yes	—
307	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
308	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	2	yes	—
312	#62563	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	—	2	2	no	—
314	C₁₃×#41	—	4	2	no	—
315	C₁₃×#41	—	4	2	no	—
316	C₁₃×#41	—	4	2	no	—
317	C₁₃×#41	—	4	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	1	no	—
323	C₂×Q₈×C₁₃	—	2	2	no	—
324	C₂×Q₈×C₁₃	—	2	1	no	—
325	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
326	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
327	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
328	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
329	C₂×D₄×C₁₃	—	2	1	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	2	no	—
333	C₂×D₄×C₁₃	—	2	1	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	2	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	4	2	no	—
342	C₂×D₄×C₁₃	—	4	2	no	—
343	C₂×D₄×C₁₃	—	8	2	no	—
344	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
345	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
346	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
348	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	—	2	1	no	—
351	C₂²×C₄×C₁₃	—	2	1	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	2	2	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
359	C₁₃×Q₁₆	—	4	2	no	—
360	C₁₃×Q₁₆	—	4	2	no	—
361	C₁₃×SD₁₆	—	4	1	no	—
362	C₁₃×SD₁₆	—	4	1	no	—
363	C₁₃×SD₁₆	—	4	1	no	—
364	C₁₃×SD₁₆	—	4	1	no	—
365	C₁₃×SD₁₆	—	4	2	no	—
366	C₁₃×SD₁₆	—	4	2	no	—
367	C₁₃×M₁₆	—	4	2	no	—
368	C₂×C₈×C₁₃	—	4	1	no	—
369	C₂×C₈×C₁₃	—	4	2	no	—
370	C₂×C₈×C₁₃	—	4	1	no	—
371	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
376	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
377	C₁₃×C₄⋊C₄	—	2	1	no	—
378	C₁₃×C₄⋊C₄	—	2	2	no	—
379	C₁₃×C₄⋊C₄	—	2	2	no	—
380	C₁₃×C₄⋊C₄	—	2	1	no	—
381	C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	1	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
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	2	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
402	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
403	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₂²⋊C₄	—	2	2	no	—
414	C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	1	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	1	no	—
430	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
431	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
432	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
433	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
434	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
435	C₄²×C₁₃	—	2	2	no	—
436	C₄²×C₁₃	—	2	1	no	—
437	C₄²×C₁₃	—	2	2	no	—
438	C₄²×C₁₃	—	2	1	no	—
439	C₄²×C₁₃	—	2	2	no	—
440	C₄²×C₁₃	—	2	2	no	—
441	C₄²×C₁₃	—	2	2	no	—
442	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
443	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
444	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₄²×C₁₃	C₂⁴	1	2	yes	—
447	#3555	C₂×C₁₃	1	1	yes	characteristic, complemented
448	#3546	C₂×C₁₃	1	1	yes	characteristic
449	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3364	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3362	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3331	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3324	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3317	C₂×C₁₃	1	2	yes	complemented
456	#3311	C₂×C₁₃	1	2	yes	complemented
457	#3304	C₂×C₁₃	1	2	yes	complemented
458	#3302	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3296	C₂×C₁₃	1	2	yes	complemented
460	#3295	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3244	C₂×C₁₃	1	2	yes	complemented
462	#3235	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3222	C₂×C₁₃	1	2	yes	complemented
464	#3216	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3178	C₂×C₁₃	1	2	yes	complemented
466	#3167	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3136	C₂×C₁₃	1	2	yes	complemented
468	#3131	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#2966	C₂×C₁₃	1	1	yes	characteristic, complemented
470	C₂³×C₁₃	—	2	1	no	—
471	C₂³×C₁₃	—	2	2	no	—
472	C₂³×C₁₃	—	2	1	no	—
473	C₂³×C₁₃	—	8	2	no	—
474	C₂³×C₁₃	—	8	2	no	—
475	C₂³×C₁₃	—	8	2	no	—
476	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
477	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
478	Q₈×C₁₃	—	2	2	no	—
479	Q₈×C₁₃	—	2	1	no	—
480	Q₈×C₁₃	—	2	1	no	—
481	Q₈×C₁₃	—	2	1	no	—
482	Q₈×C₁₃	—	2	1	no	—
483	Q₈×C₁₃	—	2	2	no	—
484	Q₈×C₁₃	—	2	2	no	—
485	Q₈×C₁₃	—	4	2	no	—
486	Q₈×C₁₃	—	8	1	no	—
487	Q₈×C₁₃	—	8	1	no	—
488	Q₈×C₁₃	—	8	2	no	—
489	Q₈×C₁₃	—	8	1	no	—
490	D₄×C₁₃	—	2	2	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	1	no	—
493	D₄×C₁₃	—	2	2	no	—
494	D₄×C₁₃	—	2	2	no	—
495	D₄×C₁₃	—	2	1	no	—
496	D₄×C₁₃	—	2	1	no	—
497	D₄×C₁₃	—	4	2	no	—
498	D₄×C₁₃	—	4	2	no	—
499	D₄×C₁₃	—	8	1	no	—
500	D₄×C₁₃	—	8	1	no	—
501	D₄×C₁₃	—	8	2	no	—
502	D₄×C₁₃	—	8	2	no	—
503	D₄×C₁₃	—	8	1	no	—
504	D₄×C₁₃	—	8	2	no	—
505	D₄×C₁₃	—	8	2	no	—
506	D₄×C₁₃	—	8	2	no	—
507	D₄×C₁₃	—	8	2	no	—
508	D₄×C₁₃	—	8	1	no	—
509	D₄×C₁₃	—	8	1	no	—
510	C₂×C₄×C₁₃	—	2	2	no	—
511	C₂×C₄×C₁₃	—	2	2	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	1	no	—
517	C₂×C₄×C₁₃	—	2	2	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	1	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	4	1	no	—
525	C₂×C₄×C₁₃	—	4	2	no	—
526	C₂×C₄×C₁₃	—	4	2	no	—
527	C₂×C₄×C₁₃	—	8	2	no	—
528	C₂×C₄×C₁₃	—	8	2	no	—
529	C₂×C₄×C₁₃	—	8	2	no	—
530	C₂×C₄×C₁₃	—	8	2	no	—
531	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
532	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
533	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
534	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
535	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
536	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
537	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
538	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
540	C₈×C₁₃	—	2	1	no	—
541	C₈×C₁₃	—	2	1	no	—
542	C₈×C₁₃	—	2	1	no	—
543	C₈×C₁₃	—	2	1	no	—
544	C₈×C₁₃	—	2	2	no	—
545	C₈×C₁₃	—	2	2	no	—
546	#563	—	2	2	no	—
547	#560	—	2	2	no	—
548	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
549	#557	—	2	1	no	—
550	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
551	#556	—	2	1	no	—
552	#556	C₂²×C₁₃	1	1	yes	characteristic
553	#556	C₂²×C₁₃	1	1	yes	characteristic
554	#556	C₂²×C₁₃	1	2	yes	complemented
555	#554	C₂²×C₁₃	1	1	yes	characteristic
556	#553	—	2	1	no	—
557	#552	C₂²×C₁₃	1	2	yes	complemented
558	#550	C₂²×C₁₃	1	2	yes	—
559	#550	C₂²×C₁₃	1	1	yes	characteristic
560	#547	C₂²×C₁₃	1	1	yes	characteristic
561	#546	—	2	1	no	—
562	#546	C₂²×C₁₃	1	2	yes	—
563	D₄²	C₂²×C₁₃	1	1	yes	characteristic
564	#544	C₂²×C₁₃	1	2	yes	complemented
565	#542	—	2	1	no	—
566	#542	C₂²×C₁₃	1	2	yes	—
567	#541	—	2	2	no	—
568	#541	—	2	1	no	—
569	#541	C₂²×C₁₃	1	2	yes	complemented
570	#538	—	2	2	no	—
571	#537	—	2	1	no	—
572	#535	—	2	1	no	—
573	#535	C₂²×C₁₃	1	2	yes	—
574	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
575	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
576	#532	C₂²×C₁₃	1	1	yes	characteristic
577	#532	C₂²×C₁₃	1	1	yes	characteristic
578	#529	C₂²×C₁₃	1	1	yes	characteristic
579	#501	C₂²×C₁₃	1	2	yes	complemented
580	#498	C₂²×C₁₃	1	1	yes	characteristic, complemented
581	#497	C₂²×C₁₃	1	2	yes	complemented
582	#492	C₂²×C₁₃	1	1	yes	characteristic
583	#490	C₂²×C₁₃	1	2	yes	—
584	#490	C₂²×C₁₃	1	2	yes	complemented
585	#489	C₂²×C₁₃	1	2	yes	—
586	#489	C₂²×C₁₃	1	2	yes	complemented
587	#488	C₂²×C₁₃	1	2	yes	—
588	#488	C₂²×C₁₃	1	2	yes	complemented
589	#488	C₂²×C₁₃	1	2	yes	complemented
590	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
591	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
592	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
593	#486	C₂²×C₁₃	1	1	yes	characteristic
594	#486	C₂²×C₁₃	1	1	yes	characteristic
595	#486	C₂²×C₁₃	1	1	yes	characteristic
596	#486	C₂²×C₁₃	1	2	yes	complemented
597	#485	C₂²×C₁₃	1	2	yes	complemented
598	#483	C₂²×C₁₃	1	2	yes	complemented
599	#482	C₂²×C₁₃	1	2	yes	—
600	#482	C₂²×C₁₃	1	2	yes	—
601	#482	C₂²×C₁₃	1	2	yes	complemented
602	#481	C₂²×C₁₃	1	2	yes	—
603	#479	C₂²×C₁₃	1	2	yes	complemented
604	#478	C₂²×C₁₃	1	2	yes	complemented
605	#476	C₂²×C₁₃	1	1	yes	characteristic
606	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#476	C₂²×C₁₃	1	2	yes	complemented
608	#475	C₂²×C₁₃	1	2	yes	complemented
609	#474	C₂²×C₁₃	1	1	yes	characteristic
610	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	#470	C₂²×C₁₃	1	2	yes	complemented
612	#468	C₂²×C₁₃	1	2	yes	—
613	#467	C₂²×C₁₃	1	2	yes	complemented
614	#465	C₂²×C₁₃	1	1	yes	characteristic
615	#465	C₂²×C₁₃	1	1	yes	characteristic
616	#465	C₂²×C₁₃	1	2	yes	—
617	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
618	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	#464	C₂²×C₁₃	1	2	yes	—
620	#464	C₂²×C₁₃	1	2	yes	—
621	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
622	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
623	#460	C₂²×C₁₃	1	1	yes	characteristic
624	#460	C₂²×C₁₃	1	1	yes	characteristic
625	#460	C₂²×C₁₃	1	2	yes	complemented
626	#460	C₂²×C₁₃	1	2	yes	complemented
627	#452	C₂²×C₁₃	1	2	yes	complemented
628	#452	C₂²×C₁₃	1	2	yes	complemented
629	#452	C₂²×C₁₃	1	2	yes	complemented
630	#452	C₂²×C₁₃	1	2	yes	complemented
631	#450	C₂²×C₁₃	1	2	yes	—
632	#450	C₂²×C₁₃	1	2	yes	—
633	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	#441	C₂²×C₁₃	1	2	yes	complemented
636	#440	C₂²×C₁₃	1	2	yes	complemented
637	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
638	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
639	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
640	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
643	#436	C₂²×C₁₃	1	1	yes	characteristic
644	#435	C₂²×C₁₃	1	2	yes	complemented
645	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
646	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
647	#433	C₂²×C₁₃	1	2	yes	complemented
648	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
649	#418	C₂²×C₁₃	1	2	yes	—
650	#417	C₂²×C₁₃	1	2	yes	complemented
651	#416	C₂²×C₁₃	1	2	yes	complemented
652	#416	C₂²×C₁₃	1	2	yes	complemented
653	#416	C₂²×C₁₃	1	2	yes	complemented
654	C₂×#102	C₂²×C₁₃	1	2	yes	—
655	#405	C₂²×C₁₃	1	2	yes	complemented
656	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	C₂²×C₁₃	—	2	1	no	—
658	C₂²×C₁₃	—	2	2	no	—
659	C₂²×C₁₃	—	2	1	no	—
660	C₂²×C₁₃	—	2	2	no	—
661	C₂²×C₁₃	—	2	1	no	—
662	C₂²×C₁₃	—	2	2	no	—
663	C₂²×C₁₃	—	4	1	no	—
664	C₂²×C₁₃	—	4	2	no	—
665	C₂²×C₁₃	—	4	1	no	—
666	C₂²×C₁₃	—	4	1	no	—
667	C₂²×C₁₃	—	4	2	no	—
668	C₂²×C₁₃	—	4	1	no	—
669	C₂²×C₁₃	—	4	1	no	—
670	C₂²×C₁₃	—	4	1	no	—
671	C₂²×C₁₃	—	4	2	no	—
672	C₂²×C₁₃	—	16	4	no	—
673	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
674	C₄×C₁₃	—	2	1	no	—
675	C₄×C₁₃	—	2	1	no	—
676	C₄×C₁₃	—	2	2	no	—
677	C₄×C₁₃	—	2	1	no	—
678	C₄×C₁₃	—	2	2	no	—
679	C₄×C₁₃	—	2	1	no	—
680	C₄×C₁₃	—	2	2	no	—
681	C₄×C₁₃	—	4	1	no	—
682	C₄×C₁₃	—	4	2	no	—
683	C₄×C₁₃	—	4	1	no	—
684	C₄×C₁₃	—	4	2	no	—
685	C₄×C₁₃	—	4	1	no	—
686	C₄×C₁₃	—	4	1	no	—
687	C₄×C₁₃	—	4	1	no	—
688	C₄×C₁₃	—	4	1	no	—
689	C₄×C₁₃	—	4	2	no	—
690	C₄×C₁₃	#577	1	2	yes	—
691	C₄×C₁₃	#585	1	1	yes	characteristic
692	C₄×C₁₃	#585	1	1	yes	characteristic
693	C₂×#41	—	2	1	no	—
694	C₂×#41	—	2	1	no	—
695	C₂×#41	C₂³×C₁₃	1	2	yes	—
696	C₂×#41	C₂³×C₁₃	1	2	yes	—
697	C₂²×D₄	—	2	1	no	—
698	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
699	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
700	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
701	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
702	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
703	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
708	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
709	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
710	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
711	C₄⋊Q₈	—	2	1	no	—
712	C₄⋊Q₈	—	2	2	no	—
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	—	2	2	no	—
715	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
717	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
718	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
719	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
722	#127	—	2	2	no	—
723	#127	C₂³×C₁₃	1	1	yes	characteristic
724	#127	C₂³×C₁₃	1	1	yes	characteristic
725	#127	C₂³×C₁₃	1	2	yes	—
726	#126	—	2	2	no	—
727	#126	—	2	2	no	—
728	#126	—	2	2	no	—
729	#126	—	2	2	no	—
730	#126	—	2	2	no	—
731	#126	—	2	2	no	—
732	#126	—	2	2	no	—
733	#126	—	2	2	no	—
734	#126	D₄×C₁₃	1	2	yes	—
735	#125	—	2	2	no	—
736	#125	—	2	2	no	—
737	#125	—	2	2	no	—
738	#125	—	2	1	no	—
739	#125	—	2	2	no	—
740	#125	—	2	2	no	—
741	#125	—	2	1	no	—
742	#125	D₄×C₁₃	1	1	yes	characteristic
743	#125	C₂³×C₁₃	1	2	yes	—
744	#125	C₂³×C₁₃	1	2	yes	—
745	#124	—	2	1	no	—
746	#124	—	2	2	no	—
747	#124	—	2	2	no	—
748	#124	—	2	1	no	—
749	#124	D₄×C₁₃	1	1	yes	characteristic
750	#124	C₂³×C₁₃	1	2	yes	—
751	#124	C₂³×C₁₃	1	2	yes	—
752	#123	—	2	2	no	—
753	#123	—	2	2	no	—
754	#123	—	2	2	no	—
755	#123	—	2	2	no	—
756	#123	D₄×C₁₃	1	2	yes	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	—	2	1	no	—
760	C₂²⋊Q₈	—	2	1	no	—
761	C₂²⋊Q₈	—	2	2	no	—
762	C₂²⋊Q₈	—	2	2	no	—
763	C₂²⋊Q₈	—	2	2	no	—
764	C₂²⋊Q₈	—	2	2	no	—
765	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
766	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
767	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
768	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
769	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
770	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
771	#121	—	2	1	no	—
772	#121	—	2	1	no	—
773	#121	—	2	1	no	—
774	#121	—	2	1	no	—
775	#121	—	2	1	no	—
776	#121	—	2	2	no	—
777	#121	—	2	2	no	—
778	#121	—	2	1	no	—
779	#121	—	2	2	no	—
780	#121	—	2	2	no	—
781	#121	—	2	2	no	—
782	#121	—	2	2	no	—
783	#121	D₄×C₁₃	1	1	yes	characteristic
784	#121	C₂³×C₁₃	1	1	yes	characteristic
785	#121	C₂³×C₁₃	1	1	yes	characteristic
786	#121	C₂³×C₁₃	1	2	yes	—
787	#120	—	2	2	no	—
788	#120	—	2	2	no	—
789	#120	—	2	2	no	—
790	#120	—	2	2	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	2	no	—
794	C₄×Q₈	—	2	1	no	—
795	C₄×Q₈	—	2	1	no	—
796	C₄×Q₈	—	2	1	no	—
797	C₄×Q₈	—	2	1	no	—
798	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
799	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
800	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
801	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
802	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
803	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
810	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
811	C₄×D₄	C₂³×C₁₃	1	2	yes	—
812	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
813	C₄×D₄	C₂³×C₁₃	1	2	yes	—
814	#117	—	2	1	no	—
815	#117	—	2	1	no	—
816	#117	—	2	2	no	—
817	#117	C₂³×C₁₃	1	2	yes	—
818	#117	C₂³×C₁₃	1	2	yes	—
819	#117	C₂³×C₁₃	1	2	yes	—
820	C₂×C₄⋊C₄	—	2	1	no	—
821	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
822	C₂×C₂²⋊C₄	—	2	2	no	—
823	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
824	#107	C₂³×C₁₃	1	2	yes	—
825	#107	C₂³×C₁₃	1	2	yes	—
826	#106	C₂³×C₁₃	1	1	yes	characteristic
827	#106	C₂³×C₁₃	1	1	yes	characteristic
828	#106	C₂³×C₁₃	1	1	yes	characteristic
829	#106	C₂³×C₁₃	1	1	yes	characteristic
830	#106	C₂³×C₁₃	1	2	yes	—
831	#106	C₂³×C₁₃	1	2	yes	—
832	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
833	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
834	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
835	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
836	#103	C₂³×C₁₃	1	2	yes	—
837	#103	C₂³×C₁₃	1	2	yes	—
838	#103	C₂³×C₁₃	1	2	yes	—
839	#103	C₂³×C₁₃	1	2	yes	—
840	#103	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	2	yes	—
842	#103	C₂³×C₁₃	1	1	yes	characteristic
843	#103	C₂³×C₁₃	1	1	yes	characteristic
844	#103	C₂³×C₁₃	1	1	yes	characteristic
845	#103	C₂³×C₁₃	1	1	yes	characteristic
846	#102	C₂³×C₁₃	1	1	yes	characteristic
847	#102	C₂³×C₁₃	1	2	yes	—
848	#102	C₂³×C₁₃	1	2	yes	—
849	#102	C₂³×C₁₃	1	2	yes	—
850	#102	C₂³×C₁₃	1	1	yes	characteristic
851	#102	C₂³×C₁₃	1	2	yes	—
852	#102	C₂³×C₁₃	1	2	yes	—
853	#102	C₂³×C₁₃	1	2	yes	—
854	#102	C₂³×C₁₃	1	2	yes	—
855	#102	C₂³×C₁₃	1	1	yes	characteristic
856	#102	C₂³×C₁₃	1	2	yes	—
857	#102	C₂³×C₁₃	1	1	yes	characteristic
858	#102	C₂³×C₁₃	1	2	yes	—
859	#102	C₂³×C₁₃	1	2	yes	—
860	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
861	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
862	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
863	#97	C₂³×C₁₃	1	2	yes	—
864	#97	C₂³×C₁₃	1	2	yes	—
865	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
866	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
867	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
868	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
869	C₄×C₈	C₂³×C₁₃	1	2	yes	—
870	C₂×C₁₃	—	4	1	no	—
871	C₂×C₁₃	—	4	2	no	—
872	C₂×C₁₃	—	8	1	no	—
873	C₂×C₁₃	—	8	2	no	—
874	C₂×C₁₃	—	8	1	no	—
875	C₂×C₁₃	#3500	1	1	yes	characteristic
876	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
877	C₂×C₁₃	#3584	1	1	yes	characteristic
878	C₂⁴	—	2	2	no	—
879	#41	—	4	2	no	—
880	#41	—	4	2	no	—
881	#41	—	4	2	no	—
882	#41	—	4	2	no	—
883	#41	—	8	2	no	—
884	#41	—	8	2	no	—
885	C₂×Q₈	—	2	1	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	1	no	—
890	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
891	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
892	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
893	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
894	C₂×D₄	—	2	1	no	—
895	C₂×D₄	—	2	2	no	—
896	C₂×D₄	—	2	2	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	1	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	1	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	4	2	no	—
907	C₂×D₄	—	4	2	no	—
908	C₂×D₄	—	8	2	no	—
909	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
910	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
911	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
912	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
913	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
921	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
923	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
924	Q₁₆	—	4	2	no	—
925	Q₁₆	—	4	2	no	—
926	SD₁₆	—	4	1	no	—
927	SD₁₆	—	4	1	no	—
928	SD₁₆	—	4	1	no	—
929	SD₁₆	—	4	1	no	—
930	SD₁₆	—	4	2	no	—
931	SD₁₆	—	4	2	no	—
932	M₁₆	—	4	2	no	—
933	C₂×C₈	—	4	1	no	—
934	C₂×C₈	—	4	2	no	—
935	C₂×C₈	—	4	1	no	—
936	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
938	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
939	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
940	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
941	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	1	no	—
946	C₄⋊C₄	—	2	1	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
967	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
968	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
969	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
970	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
971	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
972	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
973	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
974	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
975	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
976	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	1	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
996	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
997	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
998	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
999	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	2	no	—
1005	C₄²	—	2	2	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1008	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1009	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1010	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1011	C₄²	C₂⁴×C₁₃	1	2	yes	—
1012	C₁₃	#62563	1	1	yes	characteristic, direct product factor, Sylow
1013	C₂³	—	2	1	no	—
1014	C₂³	—	2	2	no	—
1015	C₂³	—	2	1	no	—
1016	C₂³	—	8	2	no	—
1017	C₂³	—	8	2	no	—
1018	C₂³	—	8	2	no	—
1019	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1020	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1021	Q₈	—	2	2	no	—
1022	Q₈	—	2	1	no	—
1023	Q₈	—	2	1	no	—
1024	Q₈	—	2	1	no	—
1025	Q₈	—	2	1	no	—
1026	Q₈	—	2	2	no	—
1027	Q₈	—	2	2	no	—
1028	Q₈	—	4	2	no	—
1029	Q₈	—	8	1	no	—
1030	Q₈	—	8	1	no	—
1031	Q₈	—	8	1	no	—
1032	Q₈	—	8	2	no	—
1033	D₄	—	2	2	no	—
1034	D₄	—	2	1	no	—
1035	D₄	—	2	1	no	—
1036	D₄	—	2	2	no	—
1037	D₄	—	2	2	no	—
1038	D₄	—	2	1	no	—
1039	D₄	—	2	1	no	—
1040	D₄	—	4	2	no	—
1041	D₄	—	4	2	no	—
1042	D₄	—	8	2	no	—
1043	D₄	—	8	1	no	—
1044	D₄	—	8	1	no	—
1045	D₄	—	8	2	no	—
1046	D₄	—	8	1	no	—
1047	D₄	—	8	2	no	—
1048	D₄	—	8	2	no	—
1049	D₄	—	8	2	no	—
1050	D₄	—	8	2	no	—
1051	D₄	—	8	1	no	—
1052	D₄	—	8	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	4	1	no	—
1068	C₂×C₄	—	4	2	no	—
1069	C₂×C₄	—	4	2	no	—
1070	C₂×C₄	—	8	2	no	—
1071	C₂×C₄	—	8	2	no	—
1072	C₂×C₄	—	8	2	no	—
1073	C₂×C₄	—	8	2	no	—
1074	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1075	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1076	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1077	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1078	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1079	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1080	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1081	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1082	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1083	C₈	—	2	1	no	—
1084	C₈	—	2	1	no	—
1085	C₈	—	2	1	no	—
1086	C₈	—	2	1	no	—
1087	C₈	—	2	2	no	—
1088	C₈	—	2	2	no	—
1089	C₂²	—	2	1	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	1	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	2	1	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	1	no	—
1097	C₂²	—	4	2	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	2	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	—	4	1	no	—
1102	C₂²	—	4	2	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	16	4	no	—
1105	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1106	C₄	—	2	1	no	—
1107	C₄	—	2	2	no	—
1108	C₄	—	2	1	no	—
1109	C₄	—	2	1	no	—
1110	C₄	—	2	2	no	—
1111	C₄	—	2	1	no	—
1112	C₄	—	2	2	no	—
1113	C₄	—	4	1	no	—
1114	C₄	—	4	1	no	—
1115	C₄	—	4	2	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	2	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	2	no	—
1120	C₄	—	4	1	no	—
1121	C₄	—	4	1	no	—
1122	C₄	C₁₃×#577	1	2	yes	—
1123	C₄	C₁₃×#585	1	1	yes	characteristic
1124	C₄	C₁₃×#585	1	1	yes	characteristic
1125	C₂	—	4	2	no	—
1126	C₂	—	4	1	no	—
1127	C₂	—	8	1	no	—
1128	C₂	—	8	2	no	—
1129	C₂	—	8	1	no	—
1130	C₂	C₁₃×#3500	1	1	yes	characteristic
1131	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1132	C₂	C₁₃×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3546	C₂
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×#3555	C₂	semidirect
3. C₁₃×#3369	C₂	semidirect
4. C₁₃×#3368	C₂	semidirect
5. C₁₃×#3364	C₂	semidirect
6. C₁₃×#3362	C₂	semidirect
7. C₁₃×#3331	C₂	semidirect
8. C₁₃×#3324	C₂	semidirect
9. C₁₃×#3317	C₂	semidirect
10. C₁₃×#3311	C₂	semidirect
11. C₁₃×#3304	C₂	semidirect
12. C₁₃×#3302	C₂	semidirect
13. C₁₃×#3296	C₂	semidirect
14. C₁₃×#3295	C₂	semidirect
15. C₁₃×#3244	C₂	semidirect
16. C₁₃×#3235	C₂	semidirect
17. C₁₃×#3222	C₂	semidirect
18. C₁₃×#3216	C₂	semidirect
19. C₁₃×#3178	C₂	semidirect
20. C₁₃×#3167	C₂	semidirect
21. C₁₃×#3136	C₂	semidirect
22. C₁₃×#3131	C₂	semidirect
23. C₁₃×#2966	C₂	semidirect
26. Q₈²×C₁₃	C₂²	semidirect
28. C₁₃×#557	C₂²	semidirect
32. C₁₃×#556	C₂²	semidirect
35. C₁₃×#552	C₂²	semidirect
42. C₁₃×#544	C₂²	semidirect
47. C₁₃×#541	C₂²	semidirect
52. C₁₃×#533	C₂²	semidirect
53. C₁₃×#533	C₂²	semidirect
57. C₁₃×#501	C₂²	semidirect
58. C₁₃×#498	C₂²	semidirect
59. C₁₃×#497	C₂²	semidirect
62. C₁₃×#490	C₂²	semidirect
64. C₁₃×#489	C₂²	semidirect
66. C₁₃×#488	C₂²	semidirect
67. C₁₃×#488	C₂²	semidirect
68. C₁₃×#487	C₂²	semidirect
69. C₁₃×#487	C₂²	semidirect
70. C₁₃×#487	C₂²	semidirect
74. C₁₃×#486	C₂²	semidirect
75. C₁₃×#485	C₂²	semidirect
76. C₁₃×#483	C₂²	semidirect
79. C₁₃×#482	C₂²	semidirect
81. C₁₃×#479	C₂²	semidirect
82. C₁₃×#478	C₂²	semidirect
84. C₁₃×#476	C₂²	semidirect
85. C₁₃×#476	C₂²	semidirect
86. C₁₃×#475	C₂²	semidirect
88. C₁₃×#474	C₂²	semidirect
89. C₁₃×#470	C₂²	semidirect
91. C₁₃×#467	C₂²	semidirect
95. C₁₃×#465	C₂²	semidirect
96. C₁₃×#465	C₂²	semidirect
99. C₁₃×#462	C₂²	semidirect
100. C₁₃×#462	C₂²	semidirect
103. C₁₃×#460	C₂²	semidirect
104. C₁₃×#460	C₂²	semidirect
105. C₁₃×#452	C₂²	semidirect
106. C₁₃×#452	C₂²	semidirect
107. C₁₃×#452	C₂²	semidirect
108. C₁₃×#452	C₂²	semidirect
111. C₁₃×#446	C₂²	semidirect
112. C₈×Q₈×C₁₃	C₂²	semidirect
113. C₁₃×#441	C₂²	semidirect
114. C₁₃×#440	C₂²	semidirect
115. C₄×C₁₃×Q₁₆	C₂²	semidirect
118. C₄×C₁₃×SD₁₆	C₂²	semidirect
119. C₄×C₁₃×SD₁₆	C₂²	semidirect
120. C₄×C₁₃×SD₁₆	C₂²	semidirect
122. C₁₃×#435	C₂²	semidirect
124. C₈×D₄×C₁₃	C₂²	semidirect
125. C₁₃×#433	C₂²	semidirect
126. C₁₃×#432	C₂²	semidirect
128. C₁₃×#417	C₂²	semidirect
129. C₁₃×#416	C₂²	semidirect
130. C₁₃×#416	C₂²	semidirect
131. C₁₃×#416	C₂²	semidirect
133. C₁₃×#405	C₂²	semidirect
134. C₂×C₄×C₈×C₁₃	C₂²	semidirect
312. #62563	C₁₃	direct (N × H)
447. #3555	C₂×C₁₃	semidirect
449. #3369	C₂×C₁₃	semidirect
450. #3368	C₂×C₁₃	semidirect
451. #3364	C₂×C₁₃	semidirect
452. #3362	C₂×C₁₃	semidirect
453. #3331	C₂×C₁₃	semidirect
454. #3324	C₂×C₁₃	semidirect
455. #3317	C₂×C₁₃	semidirect
456. #3311	C₂×C₁₃	semidirect
457. #3304	C₂×C₁₃	semidirect
458. #3302	C₂×C₁₃	semidirect
459. #3296	C₂×C₁₃	semidirect
460. #3295	C₂×C₁₃	semidirect
461. #3244	C₂×C₁₃	semidirect
462. #3235	C₂×C₁₃	semidirect
463. #3222	C₂×C₁₃	semidirect
464. #3216	C₂×C₁₃	semidirect
465. #3178	C₂×C₁₃	semidirect
466. #3167	C₂×C₁₃	semidirect
467. #3136	C₂×C₁₃	semidirect
468. #3131	C₂×C₁₃	semidirect
469. #2966	C₂×C₁₃	semidirect
548. Q₈²	C₂²×C₁₃	semidirect
550. #557	C₂²×C₁₃	semidirect
554. #556	C₂²×C₁₃	semidirect
557. #552	C₂²×C₁₃	semidirect
564. #544	C₂²×C₁₃	semidirect
569. #541	C₂²×C₁₃	semidirect
574. #533	C₂²×C₁₃	semidirect
575. #533	C₂²×C₁₃	semidirect
579. #501	C₂²×C₁₃	semidirect
580. #498	C₂²×C₁₃	semidirect
581. #497	C₂²×C₁₃	semidirect
584. #490	C₂²×C₁₃	semidirect
586. #489	C₂²×C₁₃	semidirect
588. #488	C₂²×C₁₃	semidirect
589. #488	C₂²×C₁₃	semidirect
590. #487	C₂²×C₁₃	semidirect
591. #487	C₂²×C₁₃	semidirect
592. #487	C₂²×C₁₃	semidirect
596. #486	C₂²×C₁₃	semidirect
597. #485	C₂²×C₁₃	semidirect
598. #483	C₂²×C₁₃	semidirect
601. #482	C₂²×C₁₃	semidirect
603. #479	C₂²×C₁₃	semidirect
604. #478	C₂²×C₁₃	semidirect
606. #476	C₂²×C₁₃	semidirect
607. #476	C₂²×C₁₃	semidirect
608. #475	C₂²×C₁₃	semidirect
610. #474	C₂²×C₁₃	semidirect
611. #470	C₂²×C₁₃	semidirect
613. #467	C₂²×C₁₃	semidirect
617. #465	C₂²×C₁₃	semidirect
618. #465	C₂²×C₁₃	semidirect
621. #462	C₂²×C₁₃	semidirect
622. #462	C₂²×C₁₃	semidirect
625. #460	C₂²×C₁₃	semidirect
626. #460	C₂²×C₁₃	semidirect
627. #452	C₂²×C₁₃	semidirect
628. #452	C₂²×C₁₃	semidirect
629. #452	C₂²×C₁₃	semidirect
630. #452	C₂²×C₁₃	semidirect
633. #446	C₂²×C₁₃	semidirect
634. C₈×Q₈	C₂²×C₁₃	semidirect
635. #441	C₂²×C₁₃	semidirect
636. #440	C₂²×C₁₃	semidirect
637. C₄×Q₁₆	C₂²×C₁₃	semidirect
640. C₄×SD₁₆	C₂²×C₁₃	semidirect
641. C₄×SD₁₆	C₂²×C₁₃	semidirect
642. C₄×SD₁₆	C₂²×C₁₃	semidirect
644. #435	C₂²×C₁₃	semidirect
646. C₈×D₄	C₂²×C₁₃	semidirect
647. #433	C₂²×C₁₃	semidirect
648. #432	C₂²×C₁₃	semidirect
650. #417	C₂²×C₁₃	semidirect
651. #416	C₂²×C₁₃	semidirect
652. #416	C₂²×C₁₃	semidirect
653. #416	C₂²×C₁₃	semidirect
655. #405	C₂²×C₁₃	semidirect
656. C₂×C₄×C₈	C₂²×C₁₃	semidirect
1012. C₁₃	#62563	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×#3555	2
C₁₃×#3546	2
C₁₃×#3369	2
C₁₃×#3368	2
C₁₃×#3364	2
C₁₃×#3362	2
C₁₃×#3331	2
C₁₃×#3324	2
C₁₃×#3317	2
C₁₃×#3311	2
C₁₃×#3304	2
C₁₃×#3302	2
C₁₃×#3296	2
C₁₃×#3295	2
C₁₃×#3244	2
C₁₃×#3235	2
C₁₃×#3222	2
C₁₃×#3216	2
C₁₃×#3178	2
C₁₃×#3167	2
C₁₃×#3136	2
C₁₃×#3131	2
C₁₃×#2966	2
#62563	13

Subgroups — C13×#62563 #15748902

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62563 #15748902