Subgroups — C₁₃×#61926 #15748265

Order 3328.

1774 conjugacy classes of subgroups.

The subgroup lattice has 1158 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3554	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3403	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3396	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3394	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3391	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3370	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3364	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3361	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3358	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3224	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3220	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3212	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3207	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3119	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3105	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3100	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2986	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#562	—	2	2	no	—
25	C₁₃×#559	C₂²	1	2	yes	—
26	C₁₃×#559	C₂²	1	2	yes	—
27	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#559	C₂²	1	2	yes	complemented
29	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#556	C₂²	1	1	yes	characteristic
31	C₁₃×#556	C₂²	1	1	yes	characteristic
32	C₁₃×#555	—	2	1	no	—
33	C₁₃×#554	C₂²	1	2	yes	complemented
34	C₁₃×#553	—	2	2	no	—
35	C₁₃×#550	C₂²	1	1	yes	characteristic
36	C₁₃×#550	C₂²	1	1	yes	characteristic
37	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
38	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#548	—	2	1	no	—
40	C₁₃×#547	—	2	1	no	—
41	C₁₃×#547	—	2	1	no	—
42	C₁₃×#542	—	2	1	no	—
43	C₁₃×#542	C₂²	1	2	yes	—
44	C₁₃×#540	C₂²	1	2	yes	—
45	C₁₃×#539	—	2	2	no	—
46	C₁₃×#538	—	2	2	no	—
47	C₁₃×#536	—	2	1	no	—
48	C₁₃×#535	C₂²	1	2	yes	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#532	C₂²	1	1	yes	characteristic
51	C₁₃×#532	C₂²	1	1	yes	characteristic
52	C₁₃×#529	C₂²	1	1	yes	characteristic
53	C₁₃×#525	—	2	1	no	—
54	C₁₃×#525	—	2	1	no	—
55	C₁₃×#520	C₂²	1	2	yes	—
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₁₃×#496	C₂²	1	2	yes	—
58	C₁₃×#496	C₂²	1	2	yes	—
59	C₁₃×#495	C₂²	1	2	yes	—
60	C₁₃×#495	C₂²	1	2	yes	complemented
61	C₁₃×#493	C₂²	1	2	yes	—
62	C₁₃×#493	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#490	C₂²	1	2	yes	—
65	C₁₃×#489	C₂²	1	2	yes	—
66	C₁₃×#488	C₂²	1	2	yes	—
67	C₁₃×#488	C₂²	1	2	yes	complemented
68	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#486	C₂²	1	2	yes	—
70	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#484	C₂²	1	1	yes	characteristic
72	C₁₃×#481	C₂²	1	1	yes	characteristic
73	C₁₃×#480	C₂²	1	2	yes	—
74	C₁₃×#479	C₂²	1	2	yes	complemented
75	C₁₃×#478	C₂²	1	1	yes	characteristic
76	C₁₃×#478	C₂²	1	1	yes	characteristic
77	C₁₃×#478	C₂²	1	2	yes	complemented
78	C₁₃×#477	C₂²	1	2	yes	complemented
79	C₁₃×#474	C₂²	1	1	yes	characteristic
80	C₁₃×#474	C₂²	1	1	yes	characteristic
81	C₁₃×#474	C₂²	1	2	yes	complemented
82	C₁₃×#464	C₂²	1	2	yes	—
83	C₁₃×#464	C₂²	1	2	yes	complemented
84	C₁₃×#463	C₂²	1	1	yes	characteristic
85	C₁₃×#463	C₂²	1	1	yes	characteristic
86	C₁₃×#463	C₂²	1	2	yes	—
87	C₁₃×#463	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#463	C₂²	1	2	yes	complemented
90	C₁₃×#463	C₂²	1	2	yes	complemented
91	C₁₃×#463	C₂²	1	2	yes	complemented
92	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#460	C₂²	1	2	yes	—
95	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#460	C₂²	1	2	yes	complemented
97	C₁₃×#459	C₂²	1	1	yes	characteristic
98	C₁₃×#459	C₂²	1	1	yes	characteristic
99	C₁₃×#459	C₂²	1	2	yes	—
100	C₁₃×#459	C₂²	1	2	yes	—
101	C₁₃×#459	C₂²	1	2	yes	—
102	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#459	C₂²	1	2	yes	complemented
104	C₁₃×#452	C₂²	1	2	yes	—
105	C₁₃×#450	C₂²	1	1	yes	characteristic
106	C₁₃×#449	C₂²	1	2	yes	—
107	C₁₃×#449	C₂²	1	2	yes	—
108	C₁₃×#449	C₂²	1	2	yes	—
109	C₁₃×#447	C₂²	1	2	yes	—
110	C₁₃×#447	C₂²	1	1	yes	characteristic
111	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#446	C₂²	1	2	yes	complemented
114	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
115	C₈×Q₈×C₁₃	C₂²	1	2	yes	complemented
116	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#442	C₂²	1	2	yes	complemented
118	C₁₃×#440	C₂²	1	2	yes	complemented
119	C₁₃×#440	C₂²	1	2	yes	complemented
120	C₁₃×#440	C₂²	1	2	yes	complemented
121	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
122	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
123	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
124	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
125	C₄×C₁₃×D₈	C₂²	1	2	yes	—
126	C₄×C₁₃×D₈	C₂²	1	2	yes	—
127	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
128	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
129	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
130	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
131	C₁₃×#433	C₂²	1	2	yes	—
132	C₁₃×#433	C₂²	1	2	yes	—
133	C₁₃×#431	C₂²	1	1	yes	characteristic
134	C₁₃×#431	C₂²	1	1	yes	characteristic
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	—	2	1	no	—
139	C₂×C₁₃×#41	C₂³	1	2	yes	—
140	C₂²×Q₈×C₁₃	—	2	1	no	—
141	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₂³×C₄×C₁₃	—	2	1	no	—
143	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×D₈	C₂³	1	2	yes	—
151	C₂×C₁₃×D₈	C₂³	1	2	yes	—
152	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×D₈	C₂³	1	2	yes	—
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×D₈	C₂³	1	2	yes	—
157	C₁₃×C₄⋊Q₈	—	2	1	no	—
158	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
163	C₁₃×#127	C₂³	1	2	yes	—
164	C₁₃×#127	C₂³	1	1	yes	characteristic
165	C₁₃×#127	C₂³	1	2	yes	—
166	C₁₃×#127	C₂³	1	1	yes	characteristic
167	C₁₃×#127	C₂³	1	2	yes	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#125	—	2	2	no	—
173	C₁₃×#125	D₄	1	2	yes	—
174	C₁₃×#125	C₂³	1	1	yes	characteristic
175	C₁₃×#125	C₂³	1	2	yes	—
176	C₁₃×#124	—	2	1	no	—
177	C₁₃×#124	—	2	2	no	—
178	C₁₃×#124	—	2	2	no	—
179	C₁₃×#124	—	2	2	no	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	—	2	1	no	—
182	C₁₃×#124	C₂³	1	2	yes	—
183	C₁₃×#124	C₂³	1	1	yes	characteristic
184	C₁₃×#124	C₂³	1	2	yes	—
185	C₁₃×#124	C₂³	1	2	yes	—
186	C₁₃×#124	C₂³	1	2	yes	—
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	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	1	no	—
199	C₁₃×C₂²⋊Q₈	—	2	1	no	—
200	C₁₃×C₂²⋊Q₈	—	2	2	no	—
201	C₁₃×C₂²⋊Q₈	—	2	2	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	1	no	—
206	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
207	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
208	C₁₃×C₂²⋊Q₈	D₄	1	2	yes	—
209	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
210	C₁₃×#121	—	2	1	no	—
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	1	no	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	1	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	2	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	C₂³	1	2	yes	—
224	C₁₃×#121	C₂³	1	1	yes	characteristic
225	C₁₃×#120	—	2	2	no	—
226	C₁₃×#120	—	2	2	no	—
227	C₄×Q₈×C₁₃	—	2	1	no	—
228	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
231	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
232	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
234	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	2	no	—
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	1	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	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	2	yes	—
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₄×D₄×C₁₃	C₂³	1	2	yes	—
257	C₄×D₄×C₁₃	C₂³	1	2	yes	—
258	C₁₃×#117	—	2	2	no	—
259	C₁₃×#117	—	2	1	no	—
260	C₁₃×#117	—	2	1	no	—
261	C₁₃×#117	—	2	1	no	—
262	C₁₃×#117	C₂³	1	2	yes	—
263	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
264	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
267	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
268	C₁₃×#107	C₂³	1	1	yes	characteristic
269	C₁₃×#107	C₂³	1	2	yes	—
270	C₁₃×#107	C₂³	1	2	yes	—
271	C₁₃×#107	C₂³	1	1	yes	characteristic
272	C₁₃×#106	C₂³	1	1	yes	characteristic
273	C₁₃×#106	C₂³	1	1	yes	characteristic
274	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
275	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
276	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
277	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
279	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×#103	C₂³	1	1	yes	characteristic
283	C₁₃×#103	C₂³	1	1	yes	characteristic
284	C₁₃×#103	C₂³	1	2	yes	—
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#102	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
295	C₁₃×#102	C₂³	1	1	yes	characteristic
296	C₁₃×#102	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	1	yes	characteristic
299	C₁₃×#102	C₂³	1	1	yes	characteristic
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
303	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
305	C₁₃×#97	C₂³	1	2	yes	—
306	C₁₃×#97	C₂³	1	2	yes	—
307	C₄×C₈×C₁₃	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	#61926	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
313	C₂⁴×C₁₃	—	2	1	no	—
314	C₁₃×#41	—	4	2	no	—
315	C₁₃×#41	—	4	2	no	—
316	C₁₃×#41	—	8	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	2	no	—
322	C₂×Q₈×C₁₃	—	8	2	no	—
323	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
324	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
325	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
326	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
327	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	1	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	1	no	—
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	1	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	2	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	2	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	4	1	no	—
343	C₂×D₄×C₁₃	—	4	1	no	—
344	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
345	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
347	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
349	C₂²×C₄×C₁₃	—	2	1	no	—
350	C₂²×C₄×C₁₃	—	2	2	no	—
351	C₂²×C₄×C₁₃	—	2	1	no	—
352	C₂²×C₄×C₁₃	—	2	1	no	—
353	C₂²×C₄×C₁₃	—	2	1	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	—	2	2	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	2	1	no	—
360	C₂²×C₄×C₁₃	—	2	1	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	8	2	no	—
363	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
364	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₁₃×Q₁₆	—	4	2	no	—
367	C₁₃×SD₁₆	—	4	1	no	—
368	C₁₃×SD₁₆	—	4	2	no	—
369	C₁₃×SD₁₆	—	4	2	no	—
370	C₁₃×SD₁₆	—	4	2	no	—
371	C₁₃×SD₁₆	—	4	2	no	—
372	C₁₃×SD₁₆	—	4	1	no	—
373	C₁₃×D₈	—	4	2	no	—
374	C₁₃×D₈	—	4	1	no	—
375	C₁₃×D₈	—	4	2	no	—
376	C₁₃×D₈	—	4	2	no	—
377	C₁₃×D₈	—	4	2	no	—
378	C₁₃×D₈	—	4	1	no	—
379	C₁₃×D₈	—	4	2	no	—
380	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
382	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
384	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
385	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	1	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	1	no	—
400	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
401	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
402	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
403	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
404	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
414	C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₁₃×C₂²⋊C₄	—	2	1	no	—
417	C₁₃×C₂²⋊C₄	—	2	1	no	—
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	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	1	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	2	no	—
438	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₄²×C₁₃	—	2	2	no	—
441	C₄²×C₁₃	—	2	2	no	—
442	C₄²×C₁₃	—	2	1	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
445	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
446	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
447	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
448	C₄²×C₁₃	C₂⁴	1	2	yes	—
449	C₄²×C₁₃	C₂⁴	1	2	yes	—
450	#3554	C₂×C₁₃	1	1	yes	characteristic, complemented
451	#3506	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3403	C₂×C₁₃	1	2	yes	complemented
453	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3396	C₂×C₁₃	1	2	yes	complemented
456	#3394	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3391	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3370	C₂×C₁₃	1	2	yes	complemented
459	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3364	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3361	C₂×C₁₃	1	2	yes	complemented
463	#3358	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3224	C₂×C₁₃	1	2	yes	complemented
465	#3220	C₂×C₁₃	1	2	yes	complemented
466	#3212	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3207	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3124	C₂×C₁₃	1	2	yes	complemented
469	#3119	C₂×C₁₃	1	2	yes	complemented
470	#3105	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3100	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#2986	C₂×C₁₃	1	1	yes	characteristic, complemented
473	C₂³×C₁₃	—	2	2	no	—
474	C₂³×C₁₃	—	2	1	no	—
475	C₂³×C₁₃	—	2	1	no	—
476	C₂³×C₁₃	—	2	1	no	—
477	C₂³×C₁₃	—	2	2	no	—
478	C₂³×C₁₃	—	4	2	no	—
479	C₂³×C₁₃	—	8	1	no	—
480	C₂³×C₁₃	—	8	1	no	—
481	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
482	Q₈×C₁₃	—	2	2	no	—
483	Q₈×C₁₃	—	2	2	no	—
484	Q₈×C₁₃	—	2	1	no	—
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	1	no	—
487	Q₈×C₁₃	—	2	2	no	—
488	Q₈×C₁₃	—	4	2	no	—
489	Q₈×C₁₃	—	4	2	no	—
490	Q₈×C₁₃	—	8	2	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	2	no	—
493	D₄×C₁₃	—	2	2	no	—
494	D₄×C₁₃	—	2	1	no	—
495	D₄×C₁₃	—	2	1	no	—
496	D₄×C₁₃	—	2	2	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	—	4	2	no	—
502	D₄×C₁₃	—	4	4	no	—
503	D₄×C₁₃	—	4	2	no	—
504	D₄×C₁₃	—	4	2	no	—
505	D₄×C₁₃	—	8	1	no	—
506	D₄×C₁₃	—	8	1	no	—
507	D₄×C₁₃	—	8	2	no	—
508	D₄×C₁₃	—	8	2	no	—
509	D₄×C₁₃	—	8	2	no	—
510	D₄×C₁₃	—	8	2	no	—
511	D₄×C₁₃	—	8	2	no	—
512	D₄×C₁₃	—	8	2	no	—
513	D₄×C₁₃	—	8	1	no	—
514	D₄×C₁₃	—	8	2	no	—
515	C₂×C₄×C₁₃	—	2	2	no	—
516	C₂×C₄×C₁₃	—	2	1	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	2	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	4	1	no	—
526	C₂×C₄×C₁₃	—	4	4	no	—
527	C₂×C₄×C₁₃	—	4	2	no	—
528	C₂×C₄×C₁₃	—	4	2	no	—
529	C₂×C₄×C₁₃	—	4	2	no	—
530	C₂×C₄×C₁₃	—	8	2	no	—
531	C₂×C₄×C₁₃	—	8	1	no	—
532	C₂×C₄×C₁₃	—	8	1	no	—
533	C₂×C₄×C₁₃	—	8	2	no	—
534	C₂×C₄×C₁₃	—	8	2	no	—
535	C₂×C₄×C₁₃	—	8	2	no	—
536	C₂×C₄×C₁₃	—	8	2	no	—
537	C₂×C₄×C₁₃	—	8	2	no	—
538	C₂×C₄×C₁₃	—	8	1	no	—
539	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
540	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
541	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
543	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
544	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
545	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
546	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
547	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
548	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
549	C₈×C₁₃	—	2	1	no	—
550	C₈×C₁₃	—	2	1	no	—
551	C₈×C₁₃	—	2	2	no	—
552	C₈×C₁₃	—	2	2	no	—
553	C₈×C₁₃	—	2	1	no	—
554	C₈×C₁₃	—	2	1	no	—
555	#562	—	2	2	no	—
556	#559	C₂²×C₁₃	1	2	yes	—
557	#559	C₂²×C₁₃	1	2	yes	—
558	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
559	#559	C₂²×C₁₃	1	2	yes	complemented
560	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
561	#556	C₂²×C₁₃	1	1	yes	characteristic
562	#556	C₂²×C₁₃	1	1	yes	characteristic
563	#555	—	2	1	no	—
564	#554	C₂²×C₁₃	1	2	yes	complemented
565	#553	—	2	2	no	—
566	#550	C₂²×C₁₃	1	1	yes	characteristic
567	#550	C₂²×C₁₃	1	1	yes	characteristic
568	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
569	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
570	#548	—	2	1	no	—
571	#547	—	2	1	no	—
572	#547	—	2	1	no	—
573	#542	—	2	1	no	—
574	#542	C₂²×C₁₃	1	2	yes	—
575	#540	C₂²×C₁₃	1	2	yes	—
576	#539	—	2	2	no	—
577	#538	—	2	2	no	—
578	#536	—	2	1	no	—
579	#535	C₂²×C₁₃	1	2	yes	—
580	#533	C₂²×C₁₃	1	1	yes	characteristic
581	#532	C₂²×C₁₃	1	1	yes	characteristic
582	#532	C₂²×C₁₃	1	1	yes	characteristic
583	#529	C₂²×C₁₃	1	1	yes	characteristic
584	#525	—	2	1	no	—
585	#525	—	2	1	no	—
586	#520	C₂²×C₁₃	1	2	yes	—
587	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
588	#496	C₂²×C₁₃	1	2	yes	—
589	#496	C₂²×C₁₃	1	2	yes	—
590	#495	C₂²×C₁₃	1	2	yes	—
591	#495	C₂²×C₁₃	1	2	yes	complemented
592	#493	C₂²×C₁₃	1	2	yes	—
593	#493	C₂²×C₁₃	1	1	yes	characteristic, complemented
594	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	#490	C₂²×C₁₃	1	2	yes	—
596	#489	C₂²×C₁₃	1	2	yes	—
597	#488	C₂²×C₁₃	1	2	yes	—
598	#488	C₂²×C₁₃	1	2	yes	complemented
599	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#486	C₂²×C₁₃	1	2	yes	—
601	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#484	C₂²×C₁₃	1	1	yes	characteristic
603	#481	C₂²×C₁₃	1	1	yes	characteristic
604	#480	C₂²×C₁₃	1	2	yes	—
605	#479	C₂²×C₁₃	1	2	yes	complemented
606	#478	C₂²×C₁₃	1	1	yes	characteristic
607	#478	C₂²×C₁₃	1	1	yes	characteristic
608	#478	C₂²×C₁₃	1	2	yes	complemented
609	#477	C₂²×C₁₃	1	2	yes	complemented
610	#474	C₂²×C₁₃	1	1	yes	characteristic
611	#474	C₂²×C₁₃	1	1	yes	characteristic
612	#474	C₂²×C₁₃	1	2	yes	complemented
613	#464	C₂²×C₁₃	1	2	yes	—
614	#464	C₂²×C₁₃	1	2	yes	complemented
615	#463	C₂²×C₁₃	1	1	yes	characteristic
616	#463	C₂²×C₁₃	1	1	yes	characteristic
617	#463	C₂²×C₁₃	1	2	yes	—
618	#463	C₂²×C₁₃	1	2	yes	—
619	#463	C₂²×C₁₃	1	2	yes	—
620	#463	C₂²×C₁₃	1	2	yes	complemented
621	#463	C₂²×C₁₃	1	2	yes	complemented
622	#463	C₂²×C₁₃	1	2	yes	complemented
623	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
624	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
625	#460	C₂²×C₁₃	1	2	yes	—
626	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
627	#460	C₂²×C₁₃	1	2	yes	complemented
628	#459	C₂²×C₁₃	1	1	yes	characteristic
629	#459	C₂²×C₁₃	1	1	yes	characteristic
630	#459	C₂²×C₁₃	1	2	yes	—
631	#459	C₂²×C₁₃	1	2	yes	—
632	#459	C₂²×C₁₃	1	2	yes	—
633	#459	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	#459	C₂²×C₁₃	1	2	yes	complemented
635	#452	C₂²×C₁₃	1	2	yes	—
636	#450	C₂²×C₁₃	1	1	yes	characteristic
637	#449	C₂²×C₁₃	1	2	yes	—
638	#449	C₂²×C₁₃	1	2	yes	—
639	#449	C₂²×C₁₃	1	2	yes	—
640	#447	C₂²×C₁₃	1	2	yes	—
641	#447	C₂²×C₁₃	1	1	yes	characteristic
642	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	#446	C₂²×C₁₃	1	2	yes	complemented
645	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	C₈×Q₈	C₂²×C₁₃	1	2	yes	complemented
647	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	#442	C₂²×C₁₃	1	2	yes	complemented
649	#440	C₂²×C₁₃	1	2	yes	complemented
650	#440	C₂²×C₁₃	1	2	yes	complemented
651	#440	C₂²×C₁₃	1	2	yes	complemented
652	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
653	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
654	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
655	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
656	C₄×D₈	C₂²×C₁₃	1	2	yes	—
657	C₄×D₈	C₂²×C₁₃	1	2	yes	—
658	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
659	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
660	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
661	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
662	#433	C₂²×C₁₃	1	2	yes	—
663	#433	C₂²×C₁₃	1	2	yes	—
664	#431	C₂²×C₁₃	1	1	yes	characteristic
665	#431	C₂²×C₁₃	1	1	yes	characteristic
666	C₂²×C₁₃	—	2	1	no	—
667	C₂²×C₁₃	—	2	1	no	—
668	C₂²×C₁₃	—	2	1	no	—
669	C₂²×C₁₃	—	4	2	no	—
670	C₂²×C₁₃	—	4	2	no	—
671	C₂²×C₁₃	—	4	1	no	—
672	C₂²×C₁₃	—	4	1	no	—
673	C₂²×C₁₃	—	4	1	no	—
674	C₂²×C₁₃	—	4	2	no	—
675	C₂²×C₁₃	—	4	1	no	—
676	C₂²×C₁₃	—	4	1	no	—
677	C₂²×C₁₃	—	4	1	no	—
678	C₂²×C₁₃	—	4	2	no	—
679	C₂²×C₁₃	—	4	1	no	—
680	C₂²×C₁₃	—	4	1	no	—
681	C₂²×C₁₃	—	4	1	no	—
682	C₂²×C₁₃	—	4	2	no	—
683	C₂²×C₁₃	—	4	2	no	—
684	C₂²×C₁₃	—	8	4	no	—
685	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
686	C₄×C₁₃	—	2	1	no	—
687	C₄×C₁₃	—	2	1	no	—
688	C₄×C₁₃	—	2	2	no	—
689	C₄×C₁₃	—	2	2	no	—
690	C₄×C₁₃	—	2	1	no	—
691	C₄×C₁₃	—	2	1	no	—
692	C₄×C₁₃	—	2	2	no	—
693	C₄×C₁₃	—	2	2	no	—
694	C₄×C₁₃	—	4	1	no	—
695	C₄×C₁₃	—	4	2	no	—
696	C₄×C₁₃	—	4	1	no	—
697	C₄×C₁₃	—	4	1	no	—
698	C₄×C₁₃	—	4	1	no	—
699	C₄×C₁₃	—	4	1	no	—
700	C₄×C₁₃	—	4	2	no	—
701	C₄×C₁₃	#576	1	2	yes	—
702	C₄×C₁₃	#585	1	1	yes	characteristic
703	C₄×C₁₃	#585	1	1	yes	characteristic
704	C₂×#41	—	2	1	no	—
705	C₂×#41	—	2	1	no	—
706	C₂×#41	—	2	1	no	—
707	C₂×#41	—	2	1	no	—
708	C₂×#41	C₂³×C₁₃	1	2	yes	—
709	C₂²×Q₈	—	2	1	no	—
710	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
711	C₂³×C₄	—	2	1	no	—
712	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
713	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
714	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
715	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
716	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
717	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
718	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
719	C₂×D₈	C₂³×C₁₃	1	2	yes	—
720	C₂×D₈	C₂³×C₁₃	1	2	yes	—
721	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
722	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
723	C₂×D₈	C₂³×C₁₃	1	2	yes	—
724	C₂×D₈	C₂³×C₁₃	1	2	yes	—
725	C₂×D₈	C₂³×C₁₃	1	2	yes	—
726	C₄⋊Q₈	—	2	1	no	—
727	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
728	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
729	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
730	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
731	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
732	#127	C₂³×C₁₃	1	1	yes	characteristic
733	#127	C₂³×C₁₃	1	1	yes	characteristic
734	#127	C₂³×C₁₃	1	2	yes	—
735	#127	C₂³×C₁₃	1	2	yes	—
736	#127	C₂³×C₁₃	1	2	yes	—
737	#126	—	2	2	no	—
738	#126	—	2	2	no	—
739	#126	—	2	2	no	—
740	#126	—	2	1	no	—
741	#125	—	2	2	no	—
742	#125	D₄×C₁₃	1	2	yes	—
743	#125	C₂³×C₁₃	1	1	yes	characteristic
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	2	no	—
749	#124	—	2	2	no	—
750	#124	—	2	1	no	—
751	#124	C₂³×C₁₃	1	1	yes	characteristic
752	#124	C₂³×C₁₃	1	2	yes	—
753	#124	C₂³×C₁₃	1	2	yes	—
754	#124	C₂³×C₁₃	1	2	yes	—
755	#124	C₂³×C₁₃	1	2	yes	—
756	#123	—	2	1	no	—
757	#123	—	2	2	no	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	—	2	2	no	—
764	#123	—	2	2	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	C₂²⋊Q₈	—	2	1	no	—
768	C₂²⋊Q₈	—	2	1	no	—
769	C₂²⋊Q₈	—	2	2	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	—	2	2	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	—	2	1	no	—
775	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
776	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
777	C₂²⋊Q₈	D₄×C₁₃	1	2	yes	—
778	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
779	#121	—	2	1	no	—
780	#121	—	2	1	no	—
781	#121	—	2	1	no	—
782	#121	—	2	1	no	—
783	#121	—	2	1	no	—
784	#121	—	2	2	no	—
785	#121	—	2	2	no	—
786	#121	—	2	2	no	—
787	#121	—	2	2	no	—
788	#121	—	2	2	no	—
789	#121	—	2	1	no	—
790	#121	—	2	2	no	—
791	#121	—	2	2	no	—
792	#121	C₂³×C₁₃	1	1	yes	characteristic
793	#121	C₂³×C₁₃	1	2	yes	—
794	#120	—	2	2	no	—
795	#120	—	2	2	no	—
796	C₄×Q₈	—	2	1	no	—
797	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
798	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
799	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
800	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
801	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
802	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
803	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	2	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	2	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
817	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
818	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
819	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
820	C₄×D₄	C₂³×C₁₃	1	2	yes	—
821	C₄×D₄	C₂³×C₁₃	1	2	yes	—
822	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
823	C₄×D₄	C₂³×C₁₃	1	2	yes	—
824	C₄×D₄	C₂³×C₁₃	1	2	yes	—
825	C₄×D₄	C₂³×C₁₃	1	2	yes	—
826	C₄×D₄	C₂³×C₁₃	1	2	yes	—
827	#117	—	2	2	no	—
828	#117	—	2	1	no	—
829	#117	—	2	1	no	—
830	#117	—	2	1	no	—
831	#117	C₂³×C₁₃	1	2	yes	—
832	C₂×C₄⋊C₄	—	2	2	no	—
833	C₂×C₄⋊C₄	—	2	2	no	—
834	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
835	C₂×C₂²⋊C₄	—	2	1	no	—
836	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
837	#107	C₂³×C₁₃	1	1	yes	characteristic
838	#107	C₂³×C₁₃	1	2	yes	—
839	#107	C₂³×C₁₃	1	2	yes	—
840	#107	C₂³×C₁₃	1	1	yes	characteristic
841	#106	C₂³×C₁₃	1	1	yes	characteristic
842	#106	C₂³×C₁₃	1	1	yes	characteristic
843	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
844	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
845	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
846	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
847	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
848	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
849	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
850	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
851	#103	C₂³×C₁₃	1	1	yes	characteristic
852	#103	C₂³×C₁₃	1	1	yes	characteristic
853	#103	C₂³×C₁₃	1	2	yes	—
854	#103	C₂³×C₁₃	1	2	yes	—
855	#103	C₂³×C₁₃	1	2	yes	—
856	#103	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	1	yes	characteristic
860	#102	C₂³×C₁₃	1	2	yes	—
861	#102	C₂³×C₁₃	1	2	yes	—
862	#102	C₂³×C₁₃	1	2	yes	—
863	#102	C₂³×C₁₃	1	1	yes	characteristic
864	#102	C₂³×C₁₃	1	1	yes	characteristic
865	#102	C₂³×C₁₃	1	2	yes	—
866	#102	C₂³×C₁₃	1	2	yes	—
867	#102	C₂³×C₁₃	1	1	yes	characteristic
868	#102	C₂³×C₁₃	1	1	yes	characteristic
869	#102	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	2	yes	—
871	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
872	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
873	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
874	#97	C₂³×C₁₃	1	2	yes	—
875	#97	C₂³×C₁₃	1	2	yes	—
876	C₄×C₈	C₂³×C₁₃	1	2	yes	—
877	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
878	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
879	C₄×C₈	C₂³×C₁₃	1	2	yes	—
880	C₄×C₈	C₂³×C₁₃	1	2	yes	—
881	C₂×C₁₃	—	4	1	no	—
882	C₂×C₁₃	—	8	2	no	—
883	C₂×C₁₃	—	8	2	no	—
884	C₂×C₁₃	—	8	1	no	—
885	C₂×C₁₃	—	8	1	no	—
886	C₂×C₁₃	—	8	1	no	—
887	C₂×C₁₃	#3487	1	1	yes	characteristic
888	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
889	C₂×C₁₃	#3584	1	1	yes	characteristic
890	C₂⁴	—	2	1	no	—
891	#41	—	4	2	no	—
892	#41	—	4	2	no	—
893	#41	—	8	2	no	—
894	#41	—	8	2	no	—
895	#41	—	8	2	no	—
896	#41	—	8	2	no	—
897	C₂×Q₈	—	2	1	no	—
898	C₂×Q₈	—	2	2	no	—
899	C₂×Q₈	—	8	2	no	—
900	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
901	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
902	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
903	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
904	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
905	C₂×D₄	—	2	2	no	—
906	C₂×D₄	—	2	1	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	—	2	1	no	—
910	C₂×D₄	—	2	1	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	—	2	2	no	—
913	C₂×D₄	—	2	1	no	—
914	C₂×D₄	—	2	1	no	—
915	C₂×D₄	—	2	2	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	4	1	no	—
920	C₂×D₄	—	4	1	no	—
921	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
922	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
923	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
924	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
925	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	—	2	2	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	1	no	—
930	C₂²×C₄	—	2	1	no	—
931	C₂²×C₄	—	2	2	no	—
932	C₂²×C₄	—	2	2	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	2	no	—
936	C₂²×C₄	—	2	1	no	—
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	2	no	—
939	C₂²×C₄	—	8	2	no	—
940	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
941	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
942	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
943	Q₁₆	—	4	2	no	—
944	SD₁₆	—	4	1	no	—
945	SD₁₆	—	4	2	no	—
946	SD₁₆	—	4	2	no	—
947	SD₁₆	—	4	2	no	—
948	SD₁₆	—	4	2	no	—
949	SD₁₆	—	4	1	no	—
950	D₈	—	4	2	no	—
951	D₈	—	4	1	no	—
952	D₈	—	4	2	no	—
953	D₈	—	4	2	no	—
954	D₈	—	4	2	no	—
955	D₈	—	4	1	no	—
956	D₈	—	4	2	no	—
957	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
959	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
961	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
978	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
979	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
980	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
981	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
982	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
983	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
984	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
985	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
986	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
987	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
988	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
989	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
990	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	2	1	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	—	2	1	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	1	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	1	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1016	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1017	C₄²	—	2	2	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	1	no	—
1020	C₄²	—	2	2	no	—
1021	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1022	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1023	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1024	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1025	C₄²	C₂⁴×C₁₃	1	2	yes	—
1026	C₄²	C₂⁴×C₁₃	1	2	yes	—
1027	C₁₃	#61926	1	1	yes	characteristic, direct product factor, Sylow
1028	C₂³	—	2	1	no	—
1029	C₂³	—	2	2	no	—
1030	C₂³	—	2	1	no	—
1031	C₂³	—	2	1	no	—
1032	C₂³	—	2	2	no	—
1033	C₂³	—	4	2	no	—
1034	C₂³	—	8	1	no	—
1035	C₂³	—	8	1	no	—
1036	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1037	Q₈	—	2	2	no	—
1038	Q₈	—	2	2	no	—
1039	Q₈	—	2	1	no	—
1040	Q₈	—	2	2	no	—
1041	Q₈	—	2	1	no	—
1042	Q₈	—	2	2	no	—
1043	Q₈	—	4	2	no	—
1044	Q₈	—	4	2	no	—
1045	Q₈	—	8	2	no	—
1046	D₄	—	2	1	no	—
1047	D₄	—	2	2	no	—
1048	D₄	—	2	2	no	—
1049	D₄	—	2	1	no	—
1050	D₄	—	2	1	no	—
1051	D₄	—	2	2	no	—
1052	D₄	—	2	1	no	—
1053	D₄	—	2	1	no	—
1054	D₄	—	2	1	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	4	2	no	—
1057	D₄	—	4	4	no	—
1058	D₄	—	4	2	no	—
1059	D₄	—	4	2	no	—
1060	D₄	—	8	1	no	—
1061	D₄	—	8	1	no	—
1062	D₄	—	8	2	no	—
1063	D₄	—	8	2	no	—
1064	D₄	—	8	2	no	—
1065	D₄	—	8	2	no	—
1066	D₄	—	8	2	no	—
1067	D₄	—	8	2	no	—
1068	D₄	—	8	1	no	—
1069	D₄	—	8	2	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	1	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	4	1	no	—
1081	C₂×C₄	—	4	4	no	—
1082	C₂×C₄	—	4	2	no	—
1083	C₂×C₄	—	4	2	no	—
1084	C₂×C₄	—	4	2	no	—
1085	C₂×C₄	—	8	1	no	—
1086	C₂×C₄	—	8	1	no	—
1087	C₂×C₄	—	8	2	no	—
1088	C₂×C₄	—	8	2	no	—
1089	C₂×C₄	—	8	2	no	—
1090	C₂×C₄	—	8	2	no	—
1091	C₂×C₄	—	8	2	no	—
1092	C₂×C₄	—	8	2	no	—
1093	C₂×C₄	—	8	1	no	—
1094	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1095	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1096	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1097	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1098	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1099	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1100	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1101	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1102	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1103	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1104	C₈	—	2	1	no	—
1105	C₈	—	2	1	no	—
1106	C₈	—	2	2	no	—
1107	C₈	—	2	2	no	—
1108	C₈	—	2	1	no	—
1109	C₈	—	2	1	no	—
1110	C₂²	—	2	1	no	—
1111	C₂²	—	2	1	no	—
1112	C₂²	—	2	1	no	—
1113	C₂²	—	4	1	no	—
1114	C₂²	—	4	1	no	—
1115	C₂²	—	4	1	no	—
1116	C₂²	—	4	2	no	—
1117	C₂²	—	4	2	no	—
1118	C₂²	—	4	2	no	—
1119	C₂²	—	4	2	no	—
1120	C₂²	—	4	1	no	—
1121	C₂²	—	4	1	no	—
1122	C₂²	—	4	1	no	—
1123	C₂²	—	4	2	no	—
1124	C₂²	—	4	1	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	8	4	no	—
1129	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1130	C₄	—	2	1	no	—
1131	C₄	—	2	2	no	—
1132	C₄	—	2	2	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	2	2	no	—
1136	C₄	—	2	2	no	—
1137	C₄	—	2	1	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	1	no	—
1141	C₄	—	4	2	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	4	2	no	—
1144	C₄	—	4	1	no	—
1145	C₄	C₁₃×#576	1	2	yes	—
1146	C₄	C₁₃×#585	1	1	yes	characteristic
1147	C₄	C₁₃×#585	1	1	yes	characteristic
1148	C₂	—	4	1	no	—
1149	C₂	—	8	1	no	—
1150	C₂	—	8	1	no	—
1151	C₂	—	8	1	no	—
1152	C₂	—	8	2	no	—
1153	C₂	—	8	2	no	—
1154	C₂	C₁₃×#3487	1	1	yes	characteristic
1155	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1156	C₂	C₁₃×#3584	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×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3554	C₂	semidirect
2. C₁₃×#3506	C₂	semidirect
3. C₁₃×#3403	C₂	semidirect
4. C₁₃×#3399	C₂	semidirect
5. C₁₃×#3397	C₂	semidirect
6. C₁₃×#3396	C₂	semidirect
7. C₁₃×#3394	C₂	semidirect
8. C₁₃×#3391	C₂	semidirect
9. C₁₃×#3370	C₂	semidirect
10. C₁₃×#3368	C₂	semidirect
11. C₁₃×#3367	C₂	semidirect
12. C₁₃×#3364	C₂	semidirect
13. C₁₃×#3361	C₂	semidirect
14. C₁₃×#3358	C₂	semidirect
15. C₁₃×#3224	C₂	semidirect
16. C₁₃×#3220	C₂	semidirect
17. C₁₃×#3212	C₂	semidirect
18. C₁₃×#3207	C₂	semidirect
19. C₁₃×#3124	C₂	semidirect
20. C₁₃×#3119	C₂	semidirect
21. C₁₃×#3105	C₂	semidirect
22. C₁₃×#3100	C₂	semidirect
23. C₁₃×#2986	C₂	semidirect
27. C₁₃×#559	C₂²	semidirect
28. C₁₃×#559	C₂²	semidirect
29. C₁₃×#557	C₂²	semidirect
33. C₁₃×#554	C₂²	semidirect
37. C₁₃×#550	C₂²	semidirect
38. D₄×Q₈×C₁₃	C₂²	semidirect
60. C₁₃×#495	C₂²	semidirect
62. C₁₃×#493	C₂²	semidirect
63. C₁₃×#492	C₂²	semidirect
67. C₁₃×#488	C₂²	semidirect
68. C₁₃×#487	C₂²	semidirect
70. C₁₃×#486	C₂²	semidirect
74. C₁₃×#479	C₂²	semidirect
77. C₁₃×#478	C₂²	semidirect
78. C₁₃×#477	C₂²	semidirect
81. C₁₃×#474	C₂²	semidirect
83. C₁₃×#464	C₂²	semidirect
89. C₁₃×#463	C₂²	semidirect
90. C₁₃×#463	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#462	C₂²	semidirect
93. C₁₃×#461	C₂²	semidirect
95. C₁₃×#460	C₂²	semidirect
96. C₁₃×#460	C₂²	semidirect
102. C₁₃×#459	C₂²	semidirect
103. C₁₃×#459	C₂²	semidirect
111. C₁₃×#446	C₂²	semidirect
112. C₁₃×#446	C₂²	semidirect
113. C₁₃×#446	C₂²	semidirect
114. C₈×Q₈×C₁₃	C₂²	semidirect
115. C₈×Q₈×C₁₃	C₂²	semidirect
116. C₈×Q₈×C₁₃	C₂²	semidirect
117. C₁₃×#442	C₂²	semidirect
118. C₁₃×#440	C₂²	semidirect
119. C₁₃×#440	C₂²	semidirect
120. C₁₃×#440	C₂²	semidirect
121. C₄×C₁₃×Q₁₆	C₂²	semidirect
124. C₄×C₁₃×SD₁₆	C₂²	semidirect
129. C₄×C₁₃×D₈	C₂²	semidirect
130. C₄×C₁₃×D₈	C₂²	semidirect
312. #61926	C₁₃	direct (N × H)
450. #3554	C₂×C₁₃	semidirect
451. #3506	C₂×C₁₃	semidirect
452. #3403	C₂×C₁₃	semidirect
453. #3399	C₂×C₁₃	semidirect
454. #3397	C₂×C₁₃	semidirect
455. #3396	C₂×C₁₃	semidirect
456. #3394	C₂×C₁₃	semidirect
457. #3391	C₂×C₁₃	semidirect
458. #3370	C₂×C₁₃	semidirect
459. #3368	C₂×C₁₃	semidirect
460. #3367	C₂×C₁₃	semidirect
461. #3364	C₂×C₁₃	semidirect
462. #3361	C₂×C₁₃	semidirect
463. #3358	C₂×C₁₃	semidirect
464. #3224	C₂×C₁₃	semidirect
465. #3220	C₂×C₁₃	semidirect
466. #3212	C₂×C₁₃	semidirect
467. #3207	C₂×C₁₃	semidirect
468. #3124	C₂×C₁₃	semidirect
469. #3119	C₂×C₁₃	semidirect
470. #3105	C₂×C₁₃	semidirect
471. #3100	C₂×C₁₃	semidirect
472. #2986	C₂×C₁₃	semidirect
558. #559	C₂²×C₁₃	semidirect
559. #559	C₂²×C₁₃	semidirect
560. #557	C₂²×C₁₃	semidirect
564. #554	C₂²×C₁₃	semidirect
568. #550	C₂²×C₁₃	semidirect
569. D₄×Q₈	C₂²×C₁₃	semidirect
591. #495	C₂²×C₁₃	semidirect
593. #493	C₂²×C₁₃	semidirect
594. #492	C₂²×C₁₃	semidirect
598. #488	C₂²×C₁₃	semidirect
599. #487	C₂²×C₁₃	semidirect
601. #486	C₂²×C₁₃	semidirect
605. #479	C₂²×C₁₃	semidirect
608. #478	C₂²×C₁₃	semidirect
609. #477	C₂²×C₁₃	semidirect
612. #474	C₂²×C₁₃	semidirect
614. #464	C₂²×C₁₃	semidirect
620. #463	C₂²×C₁₃	semidirect
621. #463	C₂²×C₁₃	semidirect
622. #463	C₂²×C₁₃	semidirect
623. #462	C₂²×C₁₃	semidirect
624. #461	C₂²×C₁₃	semidirect
626. #460	C₂²×C₁₃	semidirect
627. #460	C₂²×C₁₃	semidirect
633. #459	C₂²×C₁₃	semidirect
634. #459	C₂²×C₁₃	semidirect
642. #446	C₂²×C₁₃	semidirect
643. #446	C₂²×C₁₃	semidirect
644. #446	C₂²×C₁₃	semidirect
645. C₈×Q₈	C₂²×C₁₃	semidirect
646. C₈×Q₈	C₂²×C₁₃	semidirect
647. C₈×Q₈	C₂²×C₁₃	semidirect
648. #442	C₂²×C₁₃	semidirect
649. #440	C₂²×C₁₃	semidirect
650. #440	C₂²×C₁₃	semidirect
651. #440	C₂²×C₁₃	semidirect
652. C₄×Q₁₆	C₂²×C₁₃	semidirect
655. C₄×SD₁₆	C₂²×C₁₃	semidirect
660. C₄×D₈	C₂²×C₁₃	semidirect
661. C₄×D₈	C₂²×C₁₃	semidirect
1027. C₁₃	#61926	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×#3554	2
C₁₃×#3506	2
C₁₃×#3403	2
C₁₃×#3399	2
C₁₃×#3397	2
C₁₃×#3396	2
C₁₃×#3394	2
C₁₃×#3391	2
C₁₃×#3370	2
C₁₃×#3368	2
C₁₃×#3367	2
C₁₃×#3364	2
C₁₃×#3361	2
C₁₃×#3358	2
C₁₃×#3224	2
C₁₃×#3220	2
C₁₃×#3212	2
C₁₃×#3207	2
C₁₃×#3124	2
C₁₃×#3119	2
C₁₃×#3105	2
C₁₃×#3100	2
C₁₃×#2986	2
#61926	13

Subgroups — C13×#61926 #15748265

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61926 #15748265