Subgroups — C₁₃×#62604 #15748943

Order 3328.

1708 conjugacy classes of subgroups.

The subgroup lattice has 1012 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3561	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3552	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3377	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3367	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3320	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3314	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3313	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3299	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3297	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3243	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3230	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3225	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3211	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3181	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3175	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3137	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×#489	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2968	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#563	—	2	2	no	—
21	C₁₃×#563	—	2	1	no	—
22	C₁₃×#562	—	2	1	no	—
23	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
24	C₁₃×#556	C₂²	1	2	yes	—
25	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
26	C₁₃×#554	C₂²	1	2	yes	—
27	C₁₃×#553	C₂²	1	2	yes	—
28	C₁₃×#551	—	2	2	no	—
29	D₄×Q₈×C₁₃	—	2	1	no	—
30	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
31	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
32	C₁₃×#548	—	2	1	no	—
33	C₁₃×#548	C₂²	1	2	yes	—
34	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#546	C₂²	1	2	yes	—
36	C₁₃×#544	C₂²	1	2	yes	complemented
37	C₁₃×#543	—	2	1	no	—
38	C₁₃×#542	—	2	2	no	—
39	C₁₃×#542	C₂²	1	2	yes	—
40	C₁₃×#542	C₂²	1	2	yes	complemented
41	C₁₃×#541	—	2	1	no	—
42	C₁₃×#539	—	2	2	no	—
43	C₁₃×#538	—	2	1	no	—
44	C₁₃×#536	—	2	1	no	—
45	C₁₃×#536	C₂²	1	2	yes	—
46	C₁₃×#533	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
48	C₁₃×#529	C₂²	1	1	yes	characteristic
49	C₁₃×#529	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
51	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#500	C₂²	1	2	yes	complemented
53	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#495	C₂²	1	2	yes	—
55	C₁₃×#491	C₂²	1	2	yes	complemented
56	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#489	C₂²	1	2	yes	—
58	C₁₃×#489	C₂²	1	2	yes	—
59	C₁₃×#489	C₂²	1	2	yes	—
60	C₁₃×#489	C₂²	1	2	yes	—
61	C₁₃×#489	C₂²	1	2	yes	—
62	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#488	C₂²	1	2	yes	—
64	C₁₃×#488	C₂²	1	2	yes	—
65	C₁₃×#487	C₂²	1	2	yes	complemented
66	C₁₃×#487	C₂²	1	2	yes	complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#484	C₂²	1	2	yes	—
69	C₁₃×#484	C₂²	1	2	yes	—
70	C₁₃×#484	C₂²	1	2	yes	complemented
71	C₁₃×#482	C₂²	1	2	yes	—
72	C₁₃×#480	C₂²	1	2	yes	—
73	C₁₃×#479	C₂²	1	2	yes	complemented
74	C₁₃×#478	C₂²	1	2	yes	—
75	C₁₃×#477	C₂²	1	2	yes	complemented
76	C₁₃×#477	C₂²	1	2	yes	complemented
77	C₁₃×#477	C₂²	1	2	yes	complemented
78	C₁₃×#474	C₂²	1	2	yes	—
79	C₁₃×#468	C₂²	1	2	yes	—
80	C₁₃×#468	C₂²	1	2	yes	complemented
81	C₁₃×#467	C₂²	1	2	yes	—
82	C₁₃×#467	C₂²	1	2	yes	complemented
83	C₁₃×#466	C₂²	1	2	yes	—
84	C₁₃×#465	C₂²	1	2	yes	—
85	C₁₃×#464	C₂²	1	2	yes	—
86	C₁₃×#464	C₂²	1	2	yes	—
87	C₁₃×#463	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#462	C₂²	1	2	yes	complemented
90	C₁₃×#461	C₂²	1	2	yes	complemented
91	C₁₃×#452	C₂²	1	2	yes	—
92	C₁₃×#451	C₂²	1	1	yes	characteristic
93	C₁₃×#451	C₂²	1	2	yes	complemented
94	C₁₃×#450	C₂²	1	1	yes	characteristic
95	C₁₃×#449	C₂²	1	2	yes	—
96	C₁₃×#448	C₂²	1	1	yes	characteristic
97	C₁₃×#448	C₂²	1	2	yes	complemented
98	C₁₃×#447	C₂²	1	1	yes	characteristic
99	C₁₃×#446	C₂²	1	2	yes	complemented
100	C₁₃×#441	C₂²	1	2	yes	complemented
101	C₁₃×#440	C₂²	1	2	yes	—
102	C₁₃×#440	C₂²	1	2	yes	complemented
103	C₁₃×#440	C₂²	1	2	yes	complemented
104	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
105	C₄×C₁₃×D₈	C₂²	1	2	yes	—
106	C₁₃×#435	C₂²	1	2	yes	—
107	C₁₃×#435	C₂²	1	2	yes	complemented
108	C₈×D₄×C₁₃	C₂²	1	2	yes	—
109	C₁₃×#433	C₂²	1	2	yes	complemented
110	C₁₃×#431	C₂²	1	1	yes	characteristic
111	C₁₃×#419	C₂²	1	2	yes	complemented
112	C₁₃×#417	C₂²	1	2	yes	—
113	C₁₃×#416	C₂²	1	2	yes	—
114	C₂×C₁₃×#103	C₂²	1	2	yes	—
115	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
116	C₂×C₁₃×#102	C₂²	1	2	yes	—
117	C₁₃×#405	C₂²	1	2	yes	complemented
118	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
119	C₂×C₁₃×#41	—	2	1	no	—
120	C₂×C₁₃×#41	C₂³	1	2	yes	—
121	C₂²×Q₈×C₁₃	—	2	1	no	—
122	C₂²×Q₈×C₁₃	—	2	1	no	—
123	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
124	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
125	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
126	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
127	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
128	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
129	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
130	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
131	C₂×C₁₃×D₈	C₂³	1	2	yes	—
132	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
133	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
134	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
135	C₁₃×C₄⋊Q₈	—	2	1	no	—
136	C₁₃×C₄⋊Q₈	—	2	2	no	—
137	C₁₃×C₄⋊Q₈	—	2	2	no	—
138	C₁₃×C₄⋊Q₈	—	2	1	no	—
139	C₁₃×C₄⋊Q₈	—	2	1	no	—
140	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
141	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
142	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
143	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
144	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
145	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
146	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
147	C₁₃×#126	—	2	2	no	—
148	C₁₃×#126	—	2	2	no	—
149	C₁₃×#126	—	2	2	no	—
150	C₁₃×#126	—	2	2	no	—
151	C₁₃×#126	—	2	2	no	—
152	C₁₃×#126	—	2	2	no	—
153	C₁₃×#126	—	2	1	no	—
154	C₁₃×#126	D₄	1	2	yes	—
155	C₁₃×#125	—	2	2	no	—
156	C₁₃×#125	—	2	2	no	—
157	C₁₃×#125	—	2	2	no	—
158	C₁₃×#125	—	2	1	no	—
159	C₁₃×#125	D₄	1	1	yes	characteristic
160	C₁₃×#125	C₂³	1	2	yes	—
161	C₁₃×#125	C₂³	1	1	yes	characteristic
162	C₁₃×#124	—	2	1	no	—
163	C₁₃×#124	—	2	2	no	—
164	C₁₃×#124	—	2	2	no	—
165	C₁₃×#124	—	2	2	no	—
166	C₁₃×#124	—	2	1	no	—
167	C₁₃×#124	—	2	1	no	—
168	C₁₃×#124	D₄	1	1	yes	characteristic
169	C₁₃×#124	C₂³	1	2	yes	—
170	C₁₃×#124	C₂³	1	2	yes	—
171	C₁₃×#124	C₂³	1	2	yes	—
172	C₁₃×#124	C₂³	1	1	yes	characteristic
173	C₁₃×#123	—	2	1	no	—
174	C₁₃×#123	—	2	2	no	—
175	C₁₃×#123	—	2	2	no	—
176	C₁₃×#123	—	2	2	no	—
177	C₁₃×#123	—	2	2	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	D₄	1	2	yes	—
182	C₁₃×C₂²⋊Q₈	—	2	2	no	—
183	C₁₃×C₂²⋊Q₈	—	2	1	no	—
184	C₁₃×C₂²⋊Q₈	—	2	2	no	—
185	C₁₃×C₂²⋊Q₈	—	2	2	no	—
186	C₁₃×C₂²⋊Q₈	—	2	2	no	—
187	C₁₃×C₂²⋊Q₈	—	2	1	no	—
188	C₁₃×C₂²⋊Q₈	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	—	2	2	no	—
195	C₁₃×C₂²⋊Q₈	—	2	2	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
199	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
200	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	—	2	2	no	—
206	C₁₃×#121	D₄	1	1	yes	characteristic
207	C₁₃×#121	C₂³	1	1	yes	characteristic
208	C₁₃×#121	C₂³	1	2	yes	—
209	C₁₃×#121	C₂³	1	2	yes	—
210	C₁₃×#120	—	2	2	no	—
211	C₄×Q₈×C₁₃	—	2	1	no	—
212	C₄×Q₈×C₁₃	—	2	1	no	—
213	C₄×Q₈×C₁₃	—	2	1	no	—
214	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
215	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
216	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
217	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
218	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
219	C₄×D₄×C₁₃	—	2	2	no	—
220	C₄×D₄×C₁₃	—	2	2	no	—
221	C₄×D₄×C₁₃	—	2	1	no	—
222	C₄×D₄×C₁₃	—	2	2	no	—
223	C₄×D₄×C₁₃	—	2	2	no	—
224	C₄×D₄×C₁₃	C₂³	1	2	yes	—
225	C₄×D₄×C₁₃	C₂³	1	2	yes	—
226	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×D₄×C₁₃	C₂³	1	2	yes	—
228	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
229	C₁₃×#117	—	2	1	no	—
230	C₁₃×#117	—	2	2	no	—
231	C₁₃×#117	—	2	1	no	—
232	C₁₃×#117	C₂³	1	2	yes	—
233	C₁₃×#117	C₂³	1	2	yes	—
234	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
235	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
236	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
237	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
238	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
239	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
240	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
241	C₁₃×#107	C₂³	1	2	yes	—
242	C₁₃×#107	C₂³	1	2	yes	—
243	C₁₃×#107	C₂³	1	2	yes	—
244	C₁₃×#107	C₂³	1	2	yes	—
245	C₁₃×#107	C₂³	1	2	yes	—
246	C₁₃×#106	C₂³	1	2	yes	—
247	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
248	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
249	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
250	C₁₃×#103	C₂³	1	2	yes	—
251	C₁₃×#103	C₂³	1	2	yes	—
252	C₁₃×#103	C₂³	1	2	yes	—
253	C₁₃×#103	C₂³	1	2	yes	—
254	C₁₃×#103	C₂³	1	2	yes	—
255	C₁₃×#103	C₂³	1	2	yes	—
256	C₁₃×#103	C₂³	1	2	yes	—
257	C₁₃×#103	C₂³	1	2	yes	—
258	C₁₃×#103	C₂³	1	2	yes	—
259	C₁₃×#103	C₂³	1	2	yes	—
260	C₁₃×#103	C₂³	1	2	yes	—
261	C₁₃×#103	C₂³	1	2	yes	—
262	C₁₃×#103	C₂³	1	2	yes	—
263	C₁₃×#102	C₂³	1	2	yes	—
264	C₁₃×#102	C₂³	1	2	yes	—
265	C₁₃×#102	C₂³	1	2	yes	—
266	C₁₃×#102	C₂³	1	2	yes	—
267	C₁₃×#102	C₂³	1	2	yes	—
268	C₁₃×#102	C₂³	1	2	yes	—
269	C₁₃×#102	C₂³	1	2	yes	—
270	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
271	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
272	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
273	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
274	C₁₃×#97	C₂³	1	1	yes	characteristic
275	C₁₃×#97	C₂³	1	1	yes	characteristic
276	C₁₃×#97	C₂³	1	2	yes	—
277	C₁₃×#97	C₂³	1	2	yes	—
278	C₄×C₈×C₁₃	C₂³	1	2	yes	—
279	C₄×C₈×C₁₃	C₂³	1	2	yes	—
280	#62604	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
281	C₂⁴×C₁₃	—	2	1	no	—
282	C₁₃×#41	—	4	2	no	—
283	C₁₃×#41	—	4	2	no	—
284	C₁₃×#41	—	8	2	no	—
285	C₂×Q₈×C₁₃	—	2	1	no	—
286	C₂×Q₈×C₁₃	—	2	1	no	—
287	C₂×Q₈×C₁₃	—	2	1	no	—
288	C₂×Q₈×C₁₃	—	2	2	no	—
289	C₂×Q₈×C₁₃	—	2	2	no	—
290	C₂×Q₈×C₁₃	—	2	1	no	—
291	C₂×Q₈×C₁₃	—	2	2	no	—
292	C₂×Q₈×C₁₃	—	4	2	no	—
293	C₂×Q₈×C₁₃	—	4	2	no	—
294	C₂×Q₈×C₁₃	—	4	2	no	—
295	C₂×Q₈×C₁₃	—	8	2	no	—
296	C₂×Q₈×C₁₃	—	8	2	no	—
297	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
298	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
299	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
300	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
301	C₂×D₄×C₁₃	—	2	1	no	—
302	C₂×D₄×C₁₃	—	2	2	no	—
303	C₂×D₄×C₁₃	—	2	2	no	—
304	C₂×D₄×C₁₃	—	2	2	no	—
305	C₂×D₄×C₁₃	—	2	1	no	—
306	C₂×D₄×C₁₃	—	4	2	no	—
307	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
308	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
309	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
310	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
311	C₂²×C₄×C₁₃	—	2	1	no	—
312	C₂²×C₄×C₁₃	—	2	2	no	—
313	C₂²×C₄×C₁₃	—	2	2	no	—
314	C₂²×C₄×C₁₃	—	2	2	no	—
315	C₂²×C₄×C₁₃	—	2	1	no	—
316	C₂²×C₄×C₁₃	—	2	2	no	—
317	C₂²×C₄×C₁₃	—	2	2	no	—
318	C₂²×C₄×C₁₃	—	2	2	no	—
319	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
320	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
321	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
322	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
323	C₁₃×Q₁₆	—	4	2	no	—
324	C₁₃×Q₁₆	—	4	2	no	—
325	C₁₃×SD₁₆	—	4	2	no	—
326	C₁₃×SD₁₆	—	4	2	no	—
327	C₁₃×SD₁₆	—	4	2	no	—
328	C₁₃×D₈	—	4	2	no	—
329	C₁₃×M₁₆	—	4	2	no	—
330	C₂×C₈×C₁₃	—	4	2	no	—
331	C₂×C₈×C₁₃	—	4	2	no	—
332	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
333	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
334	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
335	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
336	C₁₃×C₄⋊C₄	—	2	1	no	—
337	C₁₃×C₄⋊C₄	—	2	2	no	—
338	C₁₃×C₄⋊C₄	—	2	1	no	—
339	C₁₃×C₄⋊C₄	—	2	2	no	—
340	C₁₃×C₄⋊C₄	—	2	2	no	—
341	C₁₃×C₄⋊C₄	—	2	2	no	—
342	C₁₃×C₄⋊C₄	—	2	1	no	—
343	C₁₃×C₄⋊C₄	—	2	1	no	—
344	C₁₃×C₄⋊C₄	—	2	1	no	—
345	C₁₃×C₄⋊C₄	—	2	1	no	—
346	C₁₃×C₄⋊C₄	—	2	2	no	—
347	C₁₃×C₄⋊C₄	—	2	2	no	—
348	C₁₃×C₄⋊C₄	—	2	1	no	—
349	C₁₃×C₄⋊C₄	—	2	2	no	—
350	C₁₃×C₄⋊C₄	—	2	2	no	—
351	C₁₃×C₄⋊C₄	—	2	2	no	—
352	C₁₃×C₄⋊C₄	—	2	2	no	—
353	C₁₃×C₄⋊C₄	—	2	1	no	—
354	C₁₃×C₄⋊C₄	—	2	2	no	—
355	C₁₃×C₄⋊C₄	—	2	2	no	—
356	C₁₃×C₄⋊C₄	—	2	2	no	—
357	C₁₃×C₄⋊C₄	—	2	2	no	—
358	C₁₃×C₄⋊C₄	—	2	1	no	—
359	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
360	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
361	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
362	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
363	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
364	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
365	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
366	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
367	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
368	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
369	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
370	C₁₃×C₂²⋊C₄	—	2	2	no	—
371	C₁₃×C₂²⋊C₄	—	2	2	no	—
372	C₁₃×C₂²⋊C₄	—	2	1	no	—
373	C₁₃×C₂²⋊C₄	—	2	2	no	—
374	C₁₃×C₂²⋊C₄	—	2	2	no	—
375	C₁₃×C₂²⋊C₄	—	2	2	no	—
376	C₁₃×C₂²⋊C₄	—	2	2	no	—
377	C₁₃×C₂²⋊C₄	—	2	2	no	—
378	C₁₃×C₂²⋊C₄	—	2	2	no	—
379	C₁₃×C₂²⋊C₄	—	2	2	no	—
380	C₁₃×C₂²⋊C₄	—	2	2	no	—
381	C₁₃×C₂²⋊C₄	—	2	2	no	—
382	C₁₃×C₂²⋊C₄	—	2	1	no	—
383	C₁₃×C₂²⋊C₄	—	2	1	no	—
384	C₁₃×C₂²⋊C₄	—	2	2	no	—
385	C₁₃×C₂²⋊C₄	—	2	1	no	—
386	C₁₃×C₂²⋊C₄	—	2	2	no	—
387	C₁₃×C₂²⋊C₄	—	2	2	no	—
388	C₁₃×C₂²⋊C₄	—	2	1	no	—
389	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
390	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
391	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
392	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
393	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
394	C₄²×C₁₃	—	2	2	no	—
395	C₄²×C₁₃	—	2	1	no	—
396	C₄²×C₁₃	—	2	2	no	—
397	C₄²×C₁₃	—	2	2	no	—
398	C₄²×C₁₃	—	2	2	no	—
399	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
400	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
401	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₄²×C₁₃	C₂⁴	1	2	yes	—
403	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
404	#3561	C₂×C₁₃	1	1	yes	characteristic, complemented
405	#3552	C₂×C₁₃	1	1	yes	characteristic, complemented
406	#3377	C₂×C₁₃	1	2	yes	complemented
407	#3367	C₂×C₁₃	1	2	yes	complemented
408	#3320	C₂×C₁₃	1	2	yes	complemented
409	#3314	C₂×C₁₃	1	2	yes	complemented
410	#3313	C₂×C₁₃	1	2	yes	complemented
411	#3308	C₂×C₁₃	1	2	yes	complemented
412	#3299	C₂×C₁₃	1	2	yes	complemented
413	#3297	C₂×C₁₃	1	2	yes	complemented
414	#3243	C₂×C₁₃	1	2	yes	complemented
415	#3230	C₂×C₁₃	1	1	yes	characteristic, complemented
416	#3225	C₂×C₁₃	1	2	yes	complemented
417	#3211	C₂×C₁₃	1	1	yes	characteristic, complemented
418	#3181	C₂×C₁₃	1	1	yes	characteristic, complemented
419	#3175	C₂×C₁₃	1	2	yes	complemented
420	#3137	C₂×C₁₃	1	2	yes	complemented
421	C₂×#489	C₂×C₁₃	1	1	yes	characteristic, complemented
422	#2968	C₂×C₁₃	1	1	yes	characteristic, complemented
423	C₂³×C₁₃	—	2	1	no	—
424	C₂³×C₁₃	—	2	2	no	—
425	C₂³×C₁₃	—	4	2	no	—
426	C₂³×C₁₃	—	8	1	no	—
427	C₂³×C₁₃	—	8	1	no	—
428	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
429	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
430	Q₈×C₁₃	—	2	2	no	—
431	Q₈×C₁₃	—	2	2	no	—
432	Q₈×C₁₃	—	2	2	no	—
433	Q₈×C₁₃	—	2	2	no	—
434	Q₈×C₁₃	—	2	2	no	—
435	Q₈×C₁₃	—	4	1	no	—
436	Q₈×C₁₃	—	4	2	no	—
437	Q₈×C₁₃	—	4	2	no	—
438	Q₈×C₁₃	—	8	1	no	—
439	Q₈×C₁₃	—	8	2	no	—
440	Q₈×C₁₃	—	8	1	no	—
441	Q₈×C₁₃	—	8	2	no	—
442	Q₈×C₁₃	—	8	2	no	—
443	D₄×C₁₃	—	2	4	no	—
444	D₄×C₁₃	—	2	2	no	—
445	D₄×C₁₃	—	2	2	no	—
446	D₄×C₁₃	—	2	2	no	—
447	D₄×C₁₃	—	4	1	no	—
448	D₄×C₁₃	—	4	2	no	—
449	D₄×C₁₃	—	8	1	no	—
450	D₄×C₁₃	—	8	2	no	—
451	D₄×C₁₃	—	8	2	no	—
452	D₄×C₁₃	—	8	2	no	—
453	C₂×C₄×C₁₃	—	2	2	no	—
454	C₂×C₄×C₁₃	—	2	2	no	—
455	C₂×C₄×C₁₃	—	2	2	no	—
456	C₂×C₄×C₁₃	—	2	2	no	—
457	C₂×C₄×C₁₃	—	2	1	no	—
458	C₂×C₄×C₁₃	—	2	1	no	—
459	C₂×C₄×C₁₃	—	2	2	no	—
460	C₂×C₄×C₁₃	—	2	2	no	—
461	C₂×C₄×C₁₃	—	2	2	no	—
462	C₂×C₄×C₁₃	—	2	2	no	—
463	C₂×C₄×C₁₃	—	2	2	no	—
464	C₂×C₄×C₁₃	—	2	1	no	—
465	C₂×C₄×C₁₃	—	4	1	no	—
466	C₂×C₄×C₁₃	—	4	2	no	—
467	C₂×C₄×C₁₃	—	8	2	no	—
468	C₂×C₄×C₁₃	—	8	2	no	—
469	C₂×C₄×C₁₃	—	8	2	no	—
470	C₂×C₄×C₁₃	—	8	2	no	—
471	C₂×C₄×C₁₃	—	8	1	no	—
472	C₂×C₄×C₁₃	—	8	2	no	—
473	C₂×C₄×C₁₃	—	8	2	no	—
474	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
476	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
477	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
478	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
479	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
480	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
481	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
482	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
483	C₈×C₁₃	—	2	2	no	—
484	C₈×C₁₃	—	2	2	no	—
485	C₈×C₁₃	—	2	2	no	—
486	C₈×C₁₃	—	2	2	no	—
487	#563	—	2	2	no	—
488	#563	—	2	1	no	—
489	#562	—	2	1	no	—
490	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
491	#556	C₂²×C₁₃	1	2	yes	—
492	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
493	#554	C₂²×C₁₃	1	2	yes	—
494	#553	C₂²×C₁₃	1	2	yes	—
495	#551	—	2	2	no	—
496	D₄×Q₈	—	2	1	no	—
497	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
498	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
499	#548	—	2	1	no	—
500	#548	C₂²×C₁₃	1	2	yes	—
501	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
502	#546	C₂²×C₁₃	1	2	yes	—
503	#544	C₂²×C₁₃	1	2	yes	complemented
504	#543	—	2	1	no	—
505	#542	—	2	2	no	—
506	#542	C₂²×C₁₃	1	2	yes	—
507	#542	C₂²×C₁₃	1	2	yes	complemented
508	#541	—	2	1	no	—
509	#539	—	2	2	no	—
510	#538	—	2	1	no	—
511	#536	—	2	1	no	—
512	#536	C₂²×C₁₃	1	2	yes	—
513	#533	C₂²×C₁₃	1	1	yes	characteristic
514	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
515	#529	C₂²×C₁₃	1	1	yes	characteristic
516	#529	C₂²×C₁₃	1	1	yes	characteristic
517	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
518	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
519	#500	C₂²×C₁₃	1	2	yes	complemented
520	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
521	#495	C₂²×C₁₃	1	2	yes	—
522	#491	C₂²×C₁₃	1	2	yes	complemented
523	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
524	#489	C₂²×C₁₃	1	2	yes	—
525	#489	C₂²×C₁₃	1	2	yes	—
526	#489	C₂²×C₁₃	1	2	yes	—
527	#489	C₂²×C₁₃	1	2	yes	—
528	#489	C₂²×C₁₃	1	2	yes	—
529	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
530	#488	C₂²×C₁₃	1	2	yes	—
531	#488	C₂²×C₁₃	1	2	yes	—
532	#487	C₂²×C₁₃	1	2	yes	complemented
533	#487	C₂²×C₁₃	1	2	yes	complemented
534	#485	C₂²×C₁₃	1	2	yes	complemented
535	#484	C₂²×C₁₃	1	2	yes	—
536	#484	C₂²×C₁₃	1	2	yes	—
537	#484	C₂²×C₁₃	1	2	yes	complemented
538	#482	C₂²×C₁₃	1	2	yes	—
539	#480	C₂²×C₁₃	1	2	yes	—
540	#479	C₂²×C₁₃	1	2	yes	complemented
541	#478	C₂²×C₁₃	1	2	yes	—
542	#477	C₂²×C₁₃	1	2	yes	complemented
543	#477	C₂²×C₁₃	1	2	yes	complemented
544	#477	C₂²×C₁₃	1	2	yes	complemented
545	#474	C₂²×C₁₃	1	2	yes	—
546	#468	C₂²×C₁₃	1	2	yes	—
547	#468	C₂²×C₁₃	1	2	yes	complemented
548	#467	C₂²×C₁₃	1	2	yes	—
549	#467	C₂²×C₁₃	1	2	yes	complemented
550	#466	C₂²×C₁₃	1	2	yes	—
551	#465	C₂²×C₁₃	1	2	yes	—
552	#464	C₂²×C₁₃	1	2	yes	—
553	#464	C₂²×C₁₃	1	2	yes	—
554	#463	C₂²×C₁₃	1	2	yes	—
555	#463	C₂²×C₁₃	1	2	yes	—
556	#462	C₂²×C₁₃	1	2	yes	complemented
557	#461	C₂²×C₁₃	1	2	yes	complemented
558	#452	C₂²×C₁₃	1	2	yes	—
559	#451	C₂²×C₁₃	1	1	yes	characteristic
560	#451	C₂²×C₁₃	1	2	yes	complemented
561	#450	C₂²×C₁₃	1	1	yes	characteristic
562	#449	C₂²×C₁₃	1	2	yes	—
563	#448	C₂²×C₁₃	1	1	yes	characteristic
564	#448	C₂²×C₁₃	1	2	yes	complemented
565	#447	C₂²×C₁₃	1	1	yes	characteristic
566	#446	C₂²×C₁₃	1	2	yes	complemented
567	#441	C₂²×C₁₃	1	2	yes	complemented
568	#440	C₂²×C₁₃	1	2	yes	—
569	#440	C₂²×C₁₃	1	2	yes	complemented
570	#440	C₂²×C₁₃	1	2	yes	complemented
571	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
572	C₄×D₈	C₂²×C₁₃	1	2	yes	—
573	#435	C₂²×C₁₃	1	2	yes	—
574	#435	C₂²×C₁₃	1	2	yes	complemented
575	C₈×D₄	C₂²×C₁₃	1	2	yes	—
576	#433	C₂²×C₁₃	1	2	yes	complemented
577	#431	C₂²×C₁₃	1	1	yes	characteristic
578	#419	C₂²×C₁₃	1	2	yes	complemented
579	#417	C₂²×C₁₃	1	2	yes	—
580	#416	C₂²×C₁₃	1	2	yes	—
581	C₂×#103	C₂²×C₁₃	1	2	yes	—
582	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
583	C₂×#102	C₂²×C₁₃	1	2	yes	—
584	#405	C₂²×C₁₃	1	2	yes	complemented
585	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
586	C₂²×C₁₃	—	2	1	no	—
587	C₂²×C₁₃	—	2	1	no	—
588	C₂²×C₁₃	—	2	2	no	—
589	C₂²×C₁₃	—	2	2	no	—
590	C₂²×C₁₃	—	2	2	no	—
591	C₂²×C₁₃	—	4	1	no	—
592	C₂²×C₁₃	—	4	2	no	—
593	C₂²×C₁₃	—	4	2	no	—
594	C₂²×C₁₃	—	4	1	no	—
595	C₂²×C₁₃	—	4	1	no	—
596	C₂²×C₁₃	—	4	2	no	—
597	C₂²×C₁₃	—	16	2	no	—
598	C₂²×C₁₃	#578	1	2	yes	—
599	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
600	C₄×C₁₃	—	2	1	no	—
601	C₄×C₁₃	—	2	1	no	—
602	C₄×C₁₃	—	2	2	no	—
603	C₄×C₁₃	—	2	2	no	—
604	C₄×C₁₃	—	2	1	no	—
605	C₄×C₁₃	—	2	1	no	—
606	C₄×C₁₃	—	2	1	no	—
607	C₄×C₁₃	—	2	2	no	—
608	C₄×C₁₃	—	4	1	no	—
609	C₄×C₁₃	—	4	2	no	—
610	C₄×C₁₃	—	4	2	no	—
611	C₄×C₁₃	—	4	2	no	—
612	C₄×C₁₃	—	4	2	no	—
613	C₄×C₁₃	—	4	2	no	—
614	C₄×C₁₃	—	4	1	no	—
615	C₄×C₁₃	—	4	1	no	—
616	C₄×C₁₃	#585	1	2	yes	—
617	C₂×#41	—	2	1	no	—
618	C₂×#41	C₂³×C₁₃	1	2	yes	—
619	C₂²×Q₈	—	2	1	no	—
620	C₂²×Q₈	—	2	1	no	—
621	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
622	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
623	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
624	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
625	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
626	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
627	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
628	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
629	C₂×D₈	C₂³×C₁₃	1	2	yes	—
630	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
631	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
632	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
633	C₄⋊Q₈	—	2	1	no	—
634	C₄⋊Q₈	—	2	2	no	—
635	C₄⋊Q₈	—	2	2	no	—
636	C₄⋊Q₈	—	2	1	no	—
637	C₄⋊Q₈	—	2	1	no	—
638	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
639	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
640	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
641	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
642	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
643	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
644	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
645	#126	—	2	2	no	—
646	#126	—	2	2	no	—
647	#126	—	2	2	no	—
648	#126	—	2	2	no	—
649	#126	—	2	2	no	—
650	#126	—	2	2	no	—
651	#126	—	2	1	no	—
652	#126	D₄×C₁₃	1	2	yes	—
653	#125	—	2	2	no	—
654	#125	—	2	2	no	—
655	#125	—	2	2	no	—
656	#125	—	2	1	no	—
657	#125	D₄×C₁₃	1	1	yes	characteristic
658	#125	C₂³×C₁₃	1	1	yes	characteristic
659	#125	C₂³×C₁₃	1	2	yes	—
660	#124	—	2	1	no	—
661	#124	—	2	2	no	—
662	#124	—	2	2	no	—
663	#124	—	2	2	no	—
664	#124	—	2	1	no	—
665	#124	—	2	1	no	—
666	#124	D₄×C₁₃	1	1	yes	characteristic
667	#124	C₂³×C₁₃	1	2	yes	—
668	#124	C₂³×C₁₃	1	2	yes	—
669	#124	C₂³×C₁₃	1	1	yes	characteristic
670	#124	C₂³×C₁₃	1	2	yes	—
671	#123	—	2	1	no	—
672	#123	—	2	2	no	—
673	#123	—	2	2	no	—
674	#123	—	2	2	no	—
675	#123	—	2	2	no	—
676	#123	—	2	2	no	—
677	#123	—	2	2	no	—
678	#123	—	2	2	no	—
679	#123	D₄×C₁₃	1	2	yes	—
680	C₂²⋊Q₈	—	2	2	no	—
681	C₂²⋊Q₈	—	2	1	no	—
682	C₂²⋊Q₈	—	2	2	no	—
683	C₂²⋊Q₈	—	2	2	no	—
684	C₂²⋊Q₈	—	2	2	no	—
685	C₂²⋊Q₈	—	2	1	no	—
686	C₂²⋊Q₈	—	2	1	no	—
687	C₂²⋊Q₈	—	2	2	no	—
688	C₂²⋊Q₈	—	2	2	no	—
689	C₂²⋊Q₈	—	2	2	no	—
690	C₂²⋊Q₈	—	2	2	no	—
691	C₂²⋊Q₈	—	2	2	no	—
692	C₂²⋊Q₈	—	2	2	no	—
693	C₂²⋊Q₈	—	2	2	no	—
694	C₂²⋊Q₈	—	2	2	no	—
695	C₂²⋊Q₈	—	2	2	no	—
696	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
697	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
698	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
699	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
700	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
701	#121	—	2	2	no	—
702	#121	—	2	2	no	—
703	#121	—	2	2	no	—
704	#121	D₄×C₁₃	1	1	yes	characteristic
705	#121	C₂³×C₁₃	1	1	yes	characteristic
706	#121	C₂³×C₁₃	1	2	yes	—
707	#121	C₂³×C₁₃	1	2	yes	—
708	#120	—	2	2	no	—
709	C₄×Q₈	—	2	1	no	—
710	C₄×Q₈	—	2	1	no	—
711	C₄×Q₈	—	2	1	no	—
712	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
713	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
714	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
715	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
716	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
717	C₄×D₄	—	2	2	no	—
718	C₄×D₄	—	2	2	no	—
719	C₄×D₄	—	2	1	no	—
720	C₄×D₄	—	2	2	no	—
721	C₄×D₄	—	2	2	no	—
722	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
723	C₄×D₄	C₂³×C₁₃	1	2	yes	—
724	C₄×D₄	C₂³×C₁₃	1	2	yes	—
725	C₄×D₄	C₂³×C₁₃	1	2	yes	—
726	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
727	#117	—	2	1	no	—
728	#117	—	2	2	no	—
729	#117	—	2	1	no	—
730	#117	C₂³×C₁₃	1	2	yes	—
731	#117	C₂³×C₁₃	1	2	yes	—
732	C₂×C₄⋊C₄	—	2	1	no	—
733	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
734	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
735	C₂×C₂²⋊C₄	—	2	1	no	—
736	C₂×C₂²⋊C₄	—	2	1	no	—
737	C₂×C₂²⋊C₄	—	2	2	no	—
738	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
739	#107	C₂³×C₁₃	1	2	yes	—
740	#107	C₂³×C₁₃	1	2	yes	—
741	#107	C₂³×C₁₃	1	2	yes	—
742	#107	C₂³×C₁₃	1	2	yes	—
743	#107	C₂³×C₁₃	1	2	yes	—
744	#106	C₂³×C₁₃	1	2	yes	—
745	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
746	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
747	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
748	#103	C₂³×C₁₃	1	2	yes	—
749	#103	C₂³×C₁₃	1	2	yes	—
750	#103	C₂³×C₁₃	1	2	yes	—
751	#103	C₂³×C₁₃	1	2	yes	—
752	#103	C₂³×C₁₃	1	2	yes	—
753	#103	C₂³×C₁₃	1	2	yes	—
754	#103	C₂³×C₁₃	1	2	yes	—
755	#103	C₂³×C₁₃	1	2	yes	—
756	#103	C₂³×C₁₃	1	2	yes	—
757	#103	C₂³×C₁₃	1	2	yes	—
758	#103	C₂³×C₁₃	1	2	yes	—
759	#103	C₂³×C₁₃	1	2	yes	—
760	#103	C₂³×C₁₃	1	2	yes	—
761	#102	C₂³×C₁₃	1	2	yes	—
762	#102	C₂³×C₁₃	1	2	yes	—
763	#102	C₂³×C₁₃	1	2	yes	—
764	#102	C₂³×C₁₃	1	2	yes	—
765	#102	C₂³×C₁₃	1	2	yes	—
766	#102	C₂³×C₁₃	1	2	yes	—
767	#102	C₂³×C₁₃	1	2	yes	—
768	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
769	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
770	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
771	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
772	#97	C₂³×C₁₃	1	1	yes	characteristic
773	#97	C₂³×C₁₃	1	1	yes	characteristic
774	#97	C₂³×C₁₃	1	2	yes	—
775	#97	C₂³×C₁₃	1	2	yes	—
776	C₄×C₈	C₂³×C₁₃	1	2	yes	—
777	C₄×C₈	C₂³×C₁₃	1	2	yes	—
778	C₂×C₁₃	—	2	2	no	—
779	C₂×C₁₃	—	4	2	no	—
780	C₂×C₁₃	—	8	1	no	—
781	C₂×C₁₃	—	8	2	no	—
782	C₂×C₁₃	#3500	1	1	yes	characteristic
783	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
784	C₂×C₁₃	#3585	1	1	yes	characteristic
785	C₂⁴	—	2	1	no	—
786	#41	—	4	2	no	—
787	#41	—	4	2	no	—
788	#41	—	8	2	no	—
789	C₂×Q₈	—	2	1	no	—
790	C₂×Q₈	—	2	1	no	—
791	C₂×Q₈	—	2	1	no	—
792	C₂×Q₈	—	2	2	no	—
793	C₂×Q₈	—	2	2	no	—
794	C₂×Q₈	—	2	1	no	—
795	C₂×Q₈	—	2	2	no	—
796	C₂×Q₈	—	4	2	no	—
797	C₂×Q₈	—	4	2	no	—
798	C₂×Q₈	—	4	2	no	—
799	C₂×Q₈	—	8	2	no	—
800	C₂×Q₈	—	8	2	no	—
801	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
802	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
803	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
804	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
805	C₂×D₄	—	2	1	no	—
806	C₂×D₄	—	2	2	no	—
807	C₂×D₄	—	2	2	no	—
808	C₂×D₄	—	2	2	no	—
809	C₂×D₄	—	2	1	no	—
810	C₂×D₄	—	4	2	no	—
811	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
812	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
813	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
814	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
815	C₂²×C₄	—	2	1	no	—
816	C₂²×C₄	—	2	2	no	—
817	C₂²×C₄	—	2	2	no	—
818	C₂²×C₄	—	2	2	no	—
819	C₂²×C₄	—	2	1	no	—
820	C₂²×C₄	—	2	2	no	—
821	C₂²×C₄	—	2	2	no	—
822	C₂²×C₄	—	2	2	no	—
823	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
824	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
825	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
826	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
827	Q₁₆	—	4	2	no	—
828	Q₁₆	—	4	2	no	—
829	SD₁₆	—	4	2	no	—
830	SD₁₆	—	4	2	no	—
831	SD₁₆	—	4	2	no	—
832	D₈	—	4	2	no	—
833	M₁₆	—	4	2	no	—
834	C₂×C₈	—	4	2	no	—
835	C₂×C₈	—	4	2	no	—
836	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
837	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
838	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
839	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
840	C₄⋊C₄	—	2	1	no	—
841	C₄⋊C₄	—	2	2	no	—
842	C₄⋊C₄	—	2	1	no	—
843	C₄⋊C₄	—	2	2	no	—
844	C₄⋊C₄	—	2	2	no	—
845	C₄⋊C₄	—	2	2	no	—
846	C₄⋊C₄	—	2	1	no	—
847	C₄⋊C₄	—	2	1	no	—
848	C₄⋊C₄	—	2	1	no	—
849	C₄⋊C₄	—	2	1	no	—
850	C₄⋊C₄	—	2	2	no	—
851	C₄⋊C₄	—	2	2	no	—
852	C₄⋊C₄	—	2	1	no	—
853	C₄⋊C₄	—	2	2	no	—
854	C₄⋊C₄	—	2	2	no	—
855	C₄⋊C₄	—	2	2	no	—
856	C₄⋊C₄	—	2	2	no	—
857	C₄⋊C₄	—	2	1	no	—
858	C₄⋊C₄	—	2	2	no	—
859	C₄⋊C₄	—	2	2	no	—
860	C₄⋊C₄	—	2	2	no	—
861	C₄⋊C₄	—	2	2	no	—
862	C₄⋊C₄	—	2	1	no	—
863	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
864	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
865	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
866	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
867	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
868	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
869	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
870	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
871	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
872	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
873	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
874	C₂²⋊C₄	—	2	2	no	—
875	C₂²⋊C₄	—	2	2	no	—
876	C₂²⋊C₄	—	2	1	no	—
877	C₂²⋊C₄	—	2	2	no	—
878	C₂²⋊C₄	—	2	2	no	—
879	C₂²⋊C₄	—	2	2	no	—
880	C₂²⋊C₄	—	2	2	no	—
881	C₂²⋊C₄	—	2	2	no	—
882	C₂²⋊C₄	—	2	2	no	—
883	C₂²⋊C₄	—	2	2	no	—
884	C₂²⋊C₄	—	2	2	no	—
885	C₂²⋊C₄	—	2	2	no	—
886	C₂²⋊C₄	—	2	1	no	—
887	C₂²⋊C₄	—	2	1	no	—
888	C₂²⋊C₄	—	2	2	no	—
889	C₂²⋊C₄	—	2	1	no	—
890	C₂²⋊C₄	—	2	2	no	—
891	C₂²⋊C₄	—	2	2	no	—
892	C₂²⋊C₄	—	2	1	no	—
893	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
894	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
895	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
896	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
897	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
898	C₄²	—	2	2	no	—
899	C₄²	—	2	1	no	—
900	C₄²	—	2	2	no	—
901	C₄²	—	2	2	no	—
902	C₄²	—	2	2	no	—
903	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
904	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
905	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
906	C₄²	C₂⁴×C₁₃	1	2	yes	—
907	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
908	C₁₃	#62604	1	1	yes	characteristic, direct product factor, Sylow
909	C₂³	—	2	1	no	—
910	C₂³	—	2	2	no	—
911	C₂³	—	4	2	no	—
912	C₂³	—	8	1	no	—
913	C₂³	—	8	1	no	—
914	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
915	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
916	Q₈	—	2	2	no	—
917	Q₈	—	2	2	no	—
918	Q₈	—	2	2	no	—
919	Q₈	—	2	2	no	—
920	Q₈	—	2	2	no	—
921	Q₈	—	4	1	no	—
922	Q₈	—	4	2	no	—
923	Q₈	—	4	2	no	—
924	Q₈	—	8	2	no	—
925	Q₈	—	8	1	no	—
926	Q₈	—	8	2	no	—
927	Q₈	—	8	2	no	—
928	Q₈	—	8	1	no	—
929	D₄	—	2	4	no	—
930	D₄	—	2	2	no	—
931	D₄	—	2	2	no	—
932	D₄	—	2	2	no	—
933	D₄	—	4	1	no	—
934	D₄	—	4	2	no	—
935	D₄	—	8	1	no	—
936	D₄	—	8	2	no	—
937	D₄	—	8	2	no	—
938	D₄	—	8	2	no	—
939	C₂×C₄	—	2	2	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	1	no	—
944	C₂×C₄	—	2	1	no	—
945	C₂×C₄	—	2	2	no	—
946	C₂×C₄	—	2	2	no	—
947	C₂×C₄	—	2	2	no	—
948	C₂×C₄	—	2	2	no	—
949	C₂×C₄	—	2	2	no	—
950	C₂×C₄	—	2	1	no	—
951	C₂×C₄	—	4	1	no	—
952	C₂×C₄	—	4	2	no	—
953	C₂×C₄	—	8	2	no	—
954	C₂×C₄	—	8	2	no	—
955	C₂×C₄	—	8	2	no	—
956	C₂×C₄	—	8	2	no	—
957	C₂×C₄	—	8	1	no	—
958	C₂×C₄	—	8	2	no	—
959	C₂×C₄	—	8	2	no	—
960	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
961	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
962	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
963	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
964	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
965	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
966	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
967	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
968	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
969	C₈	—	2	2	no	—
970	C₈	—	2	2	no	—
971	C₈	—	2	2	no	—
972	C₈	—	2	2	no	—
973	C₂²	—	2	1	no	—
974	C₂²	—	2	1	no	—
975	C₂²	—	2	2	no	—
976	C₂²	—	2	2	no	—
977	C₂²	—	2	2	no	—
978	C₂²	—	4	1	no	—
979	C₂²	—	4	2	no	—
980	C₂²	—	4	1	no	—
981	C₂²	—	4	2	no	—
982	C₂²	—	4	2	no	—
983	C₂²	—	4	1	no	—
984	C₂²	—	16	2	no	—
985	C₂²	C₁₃×#578	1	2	yes	—
986	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
987	C₄	—	2	1	no	—
988	C₄	—	2	1	no	—
989	C₄	—	2	2	no	—
990	C₄	—	2	1	no	—
991	C₄	—	2	1	no	—
992	C₄	—	2	2	no	—
993	C₄	—	2	2	no	—
994	C₄	—	2	1	no	—
995	C₄	—	4	1	no	—
996	C₄	—	4	1	no	—
997	C₄	—	4	2	no	—
998	C₄	—	4	2	no	—
999	C₄	—	4	2	no	—
1000	C₄	—	4	2	no	—
1001	C₄	—	4	2	no	—
1002	C₄	—	4	1	no	—
1003	C₄	C₁₃×#585	1	2	yes	—
1004	C₂	—	2	2	no	—
1005	C₂	—	4	2	no	—
1006	C₂	—	8	2	no	—
1007	C₂	—	8	1	no	—
1008	C₂	C₁₃×#3500	1	1	yes	characteristic
1009	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1010	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×#3561	C₂	semidirect
2. C₁₃×#3552	C₂	semidirect
3. C₁₃×#3377	C₂	semidirect
4. C₁₃×#3367	C₂	semidirect
5. C₁₃×#3320	C₂	semidirect
6. C₁₃×#3314	C₂	semidirect
7. C₁₃×#3313	C₂	semidirect
8. C₁₃×#3308	C₂	semidirect
9. C₁₃×#3299	C₂	semidirect
10. C₁₃×#3297	C₂	semidirect
11. C₁₃×#3243	C₂	semidirect
12. C₁₃×#3230	C₂	semidirect
13. C₁₃×#3225	C₂	semidirect
14. C₁₃×#3211	C₂	semidirect
15. C₁₃×#3181	C₂	semidirect
16. C₁₃×#3175	C₂	semidirect
17. C₁₃×#3137	C₂	semidirect
18. C₂×C₁₃×#489	C₂	semidirect
19. C₁₃×#2968	C₂	semidirect
23. C₁₃×#557	C₂²	semidirect
25. C₁₃×#556	C₂²	semidirect
31. D₄×Q₈×C₁₃	C₂²	semidirect
34. C₁₃×#547	C₂²	semidirect
36. C₁₃×#544	C₂²	semidirect
40. C₁₃×#542	C₂²	semidirect
51. C₁₃×#501	C₂²	semidirect
52. C₁₃×#500	C₂²	semidirect
53. C₁₃×#497	C₂²	semidirect
55. C₁₃×#491	C₂²	semidirect
56. C₁₃×#491	C₂²	semidirect
62. C₁₃×#489	C₂²	semidirect
65. C₁₃×#487	C₂²	semidirect
66. C₁₃×#487	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
70. C₁₃×#484	C₂²	semidirect
73. C₁₃×#479	C₂²	semidirect
75. C₁₃×#477	C₂²	semidirect
76. C₁₃×#477	C₂²	semidirect
77. C₁₃×#477	C₂²	semidirect
80. C₁₃×#468	C₂²	semidirect
82. C₁₃×#467	C₂²	semidirect
89. C₁₃×#462	C₂²	semidirect
90. C₁₃×#461	C₂²	semidirect
93. C₁₃×#451	C₂²	semidirect
97. C₁₃×#448	C₂²	semidirect
99. C₁₃×#446	C₂²	semidirect
100. C₁₃×#441	C₂²	semidirect
102. C₁₃×#440	C₂²	semidirect
103. C₁₃×#440	C₂²	semidirect
104. C₄×C₁₃×Q₁₆	C₂²	semidirect
107. C₁₃×#435	C₂²	semidirect
109. C₁₃×#433	C₂²	semidirect
111. C₁₃×#419	C₂²	semidirect
115. C₂×C₁₃×#103	C₂²	semidirect
117. C₁₃×#405	C₂²	semidirect
280. #62604	C₁₃	direct (N × H)
404. #3561	C₂×C₁₃	semidirect
405. #3552	C₂×C₁₃	semidirect
406. #3377	C₂×C₁₃	semidirect
407. #3367	C₂×C₁₃	semidirect
408. #3320	C₂×C₁₃	semidirect
409. #3314	C₂×C₁₃	semidirect
410. #3313	C₂×C₁₃	semidirect
411. #3308	C₂×C₁₃	semidirect
412. #3299	C₂×C₁₃	semidirect
413. #3297	C₂×C₁₃	semidirect
414. #3243	C₂×C₁₃	semidirect
415. #3230	C₂×C₁₃	semidirect
416. #3225	C₂×C₁₃	semidirect
417. #3211	C₂×C₁₃	semidirect
418. #3181	C₂×C₁₃	semidirect
419. #3175	C₂×C₁₃	semidirect
420. #3137	C₂×C₁₃	semidirect
421. C₂×#489	C₂×C₁₃	semidirect
422. #2968	C₂×C₁₃	semidirect
490. #557	C₂²×C₁₃	semidirect
492. #556	C₂²×C₁₃	semidirect
498. D₄×Q₈	C₂²×C₁₃	semidirect
501. #547	C₂²×C₁₃	semidirect
503. #544	C₂²×C₁₃	semidirect
507. #542	C₂²×C₁₃	semidirect
518. #501	C₂²×C₁₃	semidirect
519. #500	C₂²×C₁₃	semidirect
520. #497	C₂²×C₁₃	semidirect
522. #491	C₂²×C₁₃	semidirect
523. #491	C₂²×C₁₃	semidirect
529. #489	C₂²×C₁₃	semidirect
532. #487	C₂²×C₁₃	semidirect
533. #487	C₂²×C₁₃	semidirect
534. #485	C₂²×C₁₃	semidirect
537. #484	C₂²×C₁₃	semidirect
540. #479	C₂²×C₁₃	semidirect
542. #477	C₂²×C₁₃	semidirect
543. #477	C₂²×C₁₃	semidirect
544. #477	C₂²×C₁₃	semidirect
547. #468	C₂²×C₁₃	semidirect
549. #467	C₂²×C₁₃	semidirect
556. #462	C₂²×C₁₃	semidirect
557. #461	C₂²×C₁₃	semidirect
560. #451	C₂²×C₁₃	semidirect
564. #448	C₂²×C₁₃	semidirect
566. #446	C₂²×C₁₃	semidirect
567. #441	C₂²×C₁₃	semidirect
569. #440	C₂²×C₁₃	semidirect
570. #440	C₂²×C₁₃	semidirect
571. C₄×Q₁₆	C₂²×C₁₃	semidirect
574. #435	C₂²×C₁₃	semidirect
576. #433	C₂²×C₁₃	semidirect
578. #419	C₂²×C₁₃	semidirect
582. C₂×#103	C₂²×C₁₃	semidirect
584. #405	C₂²×C₁₃	semidirect
908. C₁₃	#62604	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×#3561	2
C₁₃×#3552	2
C₁₃×#3377	2
C₁₃×#3367	2
C₁₃×#3320	2
C₁₃×#3314	2
C₁₃×#3313	2
C₁₃×#3308	2
C₁₃×#3299	2
C₁₃×#3297	2
C₁₃×#3243	2
C₁₃×#3230	2
C₁₃×#3225	2
C₁₃×#3211	2
C₁₃×#3181	2
C₁₃×#3175	2
C₁₃×#3137	2
C₂×C₁₃×#489	2
C₁₃×#2968	2
#62604	13

Subgroups — C13×#62604 #15748943

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62604 #15748943