Subgroups — C₁₃×#61558 #15747897

Order 3328.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1130 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3522	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3518	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3394	C₂	1	1	yes	maximal, characteristic, complemented
4	Q₈×C₁₃×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3375	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3369	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3357	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3353	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3313	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3277	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3182	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3175	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3121	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3106	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3104	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2969	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2947	C₂	1	2	yes	maximal, complemented
23	C₄×C₁₃×#137	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#137	C₂²	1	2	yes	—
26	C₁₃×#559	—	2	1	no	—
27	C₁₃×#559	C₂²	1	1	yes	characteristic
28	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
29	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
30	C₁₃×#556	—	2	2	no	—
31	C₁₃×#556	—	2	1	no	—
32	C₁₃×#556	C₂²	1	1	yes	characteristic
33	C₁₃×#556	C₂²	1	2	yes	—
34	C₁₃×#555	—	2	1	no	—
35	C₁₃×#555	C₂²	1	1	yes	characteristic
36	C₁₃×#554	—	2	1	no	—
37	C₁₃×#554	C₂²	1	1	yes	characteristic
38	C₁₃×#550	C₂²	1	1	yes	characteristic
39	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
40	C₁₃×#548	C₂²	1	2	yes	—
41	C₁₃×#548	C₂²	1	2	yes	—
42	C₁₃×#547	—	2	2	no	—
43	C₁₃×#547	C₂²	1	2	yes	—
44	C₁₃×#542	—	2	2	no	—
45	C₁₃×#542	—	2	2	no	—
46	C₁₃×#542	C₂²	1	2	yes	—
47	C₁₃×#542	C₂²	1	2	yes	—
48	C₁₃×#533	—	2	1	no	—
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#532	—	2	1	no	—
51	C₁₃×#532	C₂²	1	1	yes	characteristic
52	C₁₃×#529	—	2	1	no	—
53	C₁₃×#529	—	2	1	no	—
54	C₁₃×#529	C₂²	1	1	yes	characteristic
55	C₁₃×#520	C₂²	1	2	yes	—
56	C₁₃×#519	C₂²	1	2	yes	—
57	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
58	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
59	C₁₃×#500	C₂²	1	2	yes	—
60	C₁₃×#500	C₂²	1	1	yes	characteristic
61	C₁₃×#495	C₂²	1	2	yes	—
62	C₁₃×#492	C₂²	1	1	yes	characteristic
63	C₁₃×#489	C₂²	1	2	yes	—
64	C₁₃×#489	C₂²	1	2	yes	—
65	C₁₃×#487	C₂²	1	1	yes	characteristic
66	C₁₃×#486	C₂²	1	1	yes	characteristic
67	C₁₃×#485	C₂²	1	2	yes	—
68	C₁₃×#484	C₂²	1	2	yes	—
69	C₁₃×#484	C₂²	1	2	yes	—
70	C₁₃×#482	C₂²	1	2	yes	—
71	C₁₃×#482	C₂²	1	2	yes	—
72	C₁₃×#480	C₂²	1	2	yes	—
73	C₁₃×#477	C₂²	1	1	yes	characteristic
74	C₁₃×#477	C₂²	1	1	yes	characteristic
75	C₁₃×#477	C₂²	1	2	yes	—
76	C₁₃×#477	C₂²	1	2	yes	—
77	C₁₃×#477	C₂²	1	1	yes	characteristic
78	C₁₃×#476	C₂²	1	1	yes	characteristic
79	C₁₃×#475	C₂²	1	2	yes	—
80	C₁₃×#474	C₂²	1	2	yes	—
81	C₁₃×#468	C₂²	1	2	yes	—
82	C₁₃×#468	C₂²	1	2	yes	—
83	C₁₃×#468	C₂²	1	2	yes	—
84	C₁₃×#468	C₂²	1	2	yes	—
85	C₁₃×#467	C₂²	1	2	yes	—
86	C₁₃×#466	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	2	yes	—
88	C₁₃×#464	C₂²	1	2	yes	—
89	C₁₃×#464	C₂²	1	2	yes	—
90	C₁₃×#463	C₂²	1	2	yes	—
91	C₁₃×#462	C₂²	1	1	yes	characteristic
92	C₁₃×#462	C₂²	1	1	yes	characteristic
93	C₁₃×#460	C₂²	1	1	yes	characteristic
94	C₁₃×#459	C₂²	1	1	yes	characteristic
95	C₁₃×#452	C₂²	1	2	yes	—
96	C₁₃×#451	C₂²	1	2	yes	—
97	C₁₃×#451	C₂²	1	2	yes	—
98	C₁₃×#449	C₂²	1	2	yes	—
99	C₁₃×#449	C₂²	1	2	yes	—
100	C₁₃×#448	C₂²	1	2	yes	—
101	C₁₃×#446	C₂²	1	1	yes	characteristic
102	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic
103	C₁₃×#441	C₂²	1	2	yes	—
104	C₁₃×#441	C₂²	1	1	yes	characteristic
105	C₁₃×#441	C₂²	1	1	yes	characteristic
106	C₁₃×#440	C₂²	1	2	yes	—
107	C₁₃×#440	C₂²	1	2	yes	—
108	C₁₃×#440	C₂²	1	1	yes	characteristic
109	C₁₃×#440	C₂²	1	1	yes	characteristic
110	C₁₃×#440	C₂²	1	2	yes	—
111	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
112	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
113	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
115	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
116	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
118	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
120	C₄×C₁₃×D₈	C₂²	1	2	yes	—
121	C₁₃×#436	C₂²	1	2	yes	—
122	C₁₃×#436	C₂²	1	1	yes	characteristic
123	C₁₃×#435	C₂²	1	2	yes	—
124	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
125	C₁₃×#433	C₂²	1	2	yes	—
126	C₁₃×#431	C₂²	1	1	yes	characteristic
127	C₁₃×#428	C₂²	1	1	yes	characteristic
128	C₁₃×#428	C₂²	1	2	yes	—
129	C₁₃×#419	C₂²	1	1	yes	characteristic
130	C₁₃×#417	C₂²	1	1	yes	characteristic
131	C₁₃×#416	C₂²	1	2	yes	—
132	C₂×C₁₃×#103	C₂²	1	2	yes	—
133	C₁₃×#405	C₂²	1	2	yes	—
134	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	2	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	C₂³	1	2	yes	—
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
140	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
141	C₁₃×#137	—	2	4	no	—
142	C₁₃×#137	—	2	8	no	—
143	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×D₈	C₂³	1	2	yes	—
153	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
156	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
157	C₁₃×C₄⋊Q₈	—	2	1	no	—
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	—	2	2	no	—
161	C₁₃×C₄⋊Q₈	—	2	2	no	—
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
164	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×#127	—	2	1	no	—
168	C₁₃×#127	C₂³	1	1	yes	characteristic
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	D₄	1	2	yes	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	—	2	1	no	—
177	C₁₃×#125	D₄	1	1	yes	characteristic
178	C₁₃×#124	—	2	1	no	—
179	C₁₃×#124	—	2	2	no	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	—	2	2	no	—
182	C₁₃×#124	—	2	2	no	—
183	C₁₃×#124	—	2	2	no	—
184	C₁₃×#124	—	2	2	no	—
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	D₄	1	1	yes	characteristic
187	C₁₃×#124	C₂³	1	2	yes	—
188	C₁₃×#124	C₂³	1	2	yes	—
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	D₄	1	2	yes	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	1	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	—	2	2	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	D₄	1	1	yes	characteristic
205	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
206	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
207	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
208	C₁₃×#121	—	2	1	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	2	no	—
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	D₄	1	1	yes	characteristic
214	C₁₃×#121	C₂³	1	2	yes	—
215	C₁₃×#121	C₂³	1	2	yes	—
216	C₁₃×#121	C₂³	1	2	yes	—
217	C₄×Q₈×C₁₃	—	2	1	no	—
218	C₄×Q₈×C₁₃	—	2	1	no	—
219	C₄×Q₈×C₁₃	—	2	2	no	—
220	C₄×Q₈×C₁₃	—	2	2	no	—
221	C₄×Q₈×C₁₃	—	2	2	no	—
222	C₄×Q₈×C₁₃	—	2	1	no	—
223	C₄×Q₈×C₁₃	—	2	1	no	—
224	C₄×Q₈×C₁₃	—	2	1	no	—
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
229	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
231	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
232	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
233	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	1	no	—
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	1	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	2	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×D₄×C₁₃	C₂³	1	2	yes	—
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	2	yes	—
253	C₁₃×#117	—	2	1	no	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	—	2	1	no	—
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	—	2	2	no	—
258	C₁₃×#117	—	2	2	no	—
259	C₁₃×#117	—	2	1	no	—
260	C₁₃×#117	C₂³	1	2	yes	—
261	C₁₃×#117	C₂³	1	1	yes	characteristic
262	C₁₃×#117	C₂³	1	2	yes	—
263	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
264	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	—	2	1	no	—
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#107	C₂³	1	1	yes	characteristic
273	C₁₃×#107	C₂³	1	2	yes	—
274	C₁₃×#107	C₂³	1	2	yes	—
275	C₁₃×#107	C₂³	1	2	yes	—
276	C₁₃×#107	C₂³	1	2	yes	—
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	1	yes	characteristic
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	2	yes	—
286	C₁₃×#103	C₂³	1	2	yes	—
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	1	yes	characteristic
291	C₁₃×#103	C₂³	1	1	yes	characteristic
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#102	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	1	yes	characteristic
300	C₁₃×#102	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	1	yes	characteristic
308	C₁₃×#97	C₂³	1	1	yes	characteristic
309	C₁₃×#97	C₂³	1	2	yes	—
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₃	C₂³	1	2	yes	—
313	C₄×C₈×C₁₃	C₂³	1	2	yes	—
314	#61558	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₁₃×#41	—	2	2	no	—
316	C₁₃×#41	—	2	4	no	—
317	C₁₃×#41	—	4	2	no	—
318	C₁₃×#41	—	4	1	no	—
319	C₁₃×#41	—	8	2	no	—
320	C₁₃×#41	—	8	4	no	—
321	C₂×Q₈×C₁₃	—	2	1	no	—
322	C₂×Q₈×C₁₃	—	2	2	no	—
323	C₂×Q₈×C₁₃	—	2	1	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	2	no	—
326	C₂×Q₈×C₁₃	—	2	1	no	—
327	C₂×Q₈×C₁₃	—	2	4	no	—
328	C₂×Q₈×C₁₃	—	2	2	no	—
329	C₂×Q₈×C₁₃	—	4	2	no	—
330	C₂×Q₈×C₁₃	—	4	1	no	—
331	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₁₃	—	2	1	no	—
337	C₂×D₄×C₁₃	—	2	2	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	1	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
344	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
345	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	2	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	2	no	—
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	—	2	2	no	—
357	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
361	C₁₃×Q₁₆	—	2	2	no	—
362	C₁₃×Q₁₆	—	2	4	no	—
363	C₁₃×Q₁₆	—	4	2	no	—
364	C₁₃×Q₁₆	#41	1	4	yes	complemented
365	C₁₃×SD₁₆	—	2	4	no	—
366	C₁₃×SD₁₆	—	2	2	no	—
367	C₁₃×SD₁₆	—	2	4	no	—
368	C₁₃×SD₁₆	—	2	2	no	—
369	C₁₃×SD₁₆	—	4	2	no	—
370	C₁₃×D₈	—	4	2	no	—
371	C₁₃×M₁₆	—	2	2	no	—
372	C₁₃×M₁₆	—	2	4	no	—
373	C₁₃×M₁₆	—	4	1	no	—
374	C₂×C₈×C₁₃	—	4	2	no	—
375	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
376	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
379	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	2	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	1	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	1	no	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	1	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	2	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	—	2	2	no	—
402	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
403	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
404	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
405	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
406	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	yes	—
413	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
414	C₁₃×C₂²⋊C₄	—	2	2	no	—
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	1	no	—
423	C₁₃×C₂²⋊C₄	—	2	2	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	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	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	1	no	—
436	C₄²×C₁₃	—	2	1	no	—
437	C₄²×C₁₃	—	2	1	no	—
438	C₄²×C₁₃	—	2	1	no	—
439	C₄²×C₁₃	—	2	1	no	—
440	C₄²×C₁₃	—	2	1	no	—
441	C₄²×C₁₃	—	2	1	no	—
442	C₄²×C₁₃	—	2	2	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	2	no	—
445	C₄²×C₁₃	—	2	2	no	—
446	C₄²×C₁₃	—	2	2	no	—
447	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
448	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
449	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₄²×C₁₃	C₂⁴	1	2	yes	—
452	#3522	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3518	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3394	C₂×C₁₃	1	1	yes	characteristic, complemented
455	Q₈×Q₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3375	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3369	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3357	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3353	C₂×C₁₃	1	2	yes	complemented
460	#3313	C₂×C₁₃	1	2	yes	complemented
461	#3308	C₂×C₁₃	1	2	yes	complemented
462	#3305	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3299	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3278	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3277	C₂×C₁₃	1	2	yes	complemented
466	#3182	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3175	C₂×C₁₃	1	2	yes	complemented
468	#3124	C₂×C₁₃	1	2	yes	complemented
469	#3121	C₂×C₁₃	1	2	yes	complemented
470	#3106	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3104	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#2969	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#2947	C₂×C₁₃	1	2	yes	complemented
474	C₄×#137	C₂×C₁₃	1	1	yes	characteristic, complemented
475	C₂³×C₁₃	—	2	1	no	—
476	C₂³×C₁₃	—	2	2	no	—
477	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
478	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
479	Q₈×C₁₃	—	2	2	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	—	2	1	no	—
486	Q₈×C₁₃	—	4	2	no	—
487	Q₈×C₁₃	—	4	4	no	—
488	Q₈×C₁₃	—	8	1	no	—
489	Q₈×C₁₃	—	8	2	no	—
490	Q₈×C₁₃	—	8	1	no	—
491	Q₈×C₁₃	—	8	2	no	—
492	Q₈×C₁₃	C₂×#41	1	2	yes	—
493	Q₈×C₁₃	C₂×#41	1	2	yes	—
494	D₄×C₁₃	—	2	2	no	—
495	D₄×C₁₃	—	2	1	no	—
496	D₄×C₁₃	—	2	2	no	—
497	D₄×C₁₃	—	2	1	no	—
498	D₄×C₁₃	—	2	2	no	—
499	D₄×C₁₃	—	4	2	no	—
500	D₄×C₁₃	—	4	4	no	—
501	D₄×C₁₃	—	4	2	no	—
502	D₄×C₁₃	—	4	4	no	—
503	D₄×C₁₃	—	4	2	no	—
504	D₄×C₁₃	—	8	1	no	—
505	D₄×C₁₃	—	8	2	no	—
506	D₄×C₁₃	—	8	2	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	2	2	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	2	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	2	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	1	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	4	1	no	—
523	C₂×C₄×C₁₃	—	4	4	no	—
524	C₂×C₄×C₁₃	—	4	2	no	—
525	C₂×C₄×C₁₃	—	4	2	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	—	8	1	no	—
530	C₂×C₄×C₁₃	—	8	2	no	—
531	C₂×C₄×C₁₃	—	8	2	no	—
532	C₂×C₄×C₁₃	—	8	2	no	—
533	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	2	yes	—
538	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
539	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
540	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
541	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
542	C₈×C₁₃	—	2	1	no	—
543	C₈×C₁₃	—	2	2	no	—
544	C₈×C₁₃	—	2	1	no	—
545	C₈×C₁₃	—	2	2	no	—
546	C₈×C₁₃	—	2	1	no	—
547	C₈×C₁₃	C₂×#41	1	2	yes	—
548	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
549	C₂×#137	C₂²×C₁₃	1	2	yes	—
550	#559	—	2	1	no	—
551	#559	C₂²×C₁₃	1	1	yes	characteristic
552	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
553	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
554	#556	—	2	2	no	—
555	#556	—	2	1	no	—
556	#556	C₂²×C₁₃	1	1	yes	characteristic
557	#556	C₂²×C₁₃	1	2	yes	—
558	#555	—	2	1	no	—
559	#555	C₂²×C₁₃	1	1	yes	characteristic
560	#554	—	2	1	no	—
561	#554	C₂²×C₁₃	1	1	yes	characteristic
562	#550	C₂²×C₁₃	1	1	yes	characteristic
563	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
564	#548	C₂²×C₁₃	1	2	yes	—
565	#548	C₂²×C₁₃	1	2	yes	—
566	#547	—	2	2	no	—
567	#547	C₂²×C₁₃	1	2	yes	—
568	#542	—	2	2	no	—
569	#542	—	2	2	no	—
570	#542	C₂²×C₁₃	1	2	yes	—
571	#542	C₂²×C₁₃	1	2	yes	—
572	#533	—	2	1	no	—
573	#533	C₂²×C₁₃	1	1	yes	characteristic
574	#532	—	2	1	no	—
575	#532	C₂²×C₁₃	1	1	yes	characteristic
576	#529	—	2	1	no	—
577	#529	—	2	1	no	—
578	#529	C₂²×C₁₃	1	1	yes	characteristic
579	#520	C₂²×C₁₃	1	2	yes	—
580	#519	C₂²×C₁₃	1	2	yes	—
581	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
582	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
583	#500	C₂²×C₁₃	1	2	yes	—
584	#500	C₂²×C₁₃	1	1	yes	characteristic
585	#495	C₂²×C₁₃	1	2	yes	—
586	#492	C₂²×C₁₃	1	1	yes	characteristic
587	#489	C₂²×C₁₃	1	2	yes	—
588	#489	C₂²×C₁₃	1	2	yes	—
589	#487	C₂²×C₁₃	1	1	yes	characteristic
590	#486	C₂²×C₁₃	1	1	yes	characteristic
591	#485	C₂²×C₁₃	1	2	yes	—
592	#484	C₂²×C₁₃	1	2	yes	—
593	#484	C₂²×C₁₃	1	2	yes	—
594	#482	C₂²×C₁₃	1	2	yes	—
595	#482	C₂²×C₁₃	1	2	yes	—
596	#480	C₂²×C₁₃	1	2	yes	—
597	#477	C₂²×C₁₃	1	1	yes	characteristic
598	#477	C₂²×C₁₃	1	1	yes	characteristic
599	#477	C₂²×C₁₃	1	1	yes	characteristic
600	#477	C₂²×C₁₃	1	2	yes	—
601	#477	C₂²×C₁₃	1	2	yes	—
602	#476	C₂²×C₁₃	1	1	yes	characteristic
603	#475	C₂²×C₁₃	1	2	yes	—
604	#474	C₂²×C₁₃	1	2	yes	—
605	#468	C₂²×C₁₃	1	2	yes	—
606	#468	C₂²×C₁₃	1	2	yes	—
607	#468	C₂²×C₁₃	1	2	yes	—
608	#468	C₂²×C₁₃	1	2	yes	—
609	#467	C₂²×C₁₃	1	2	yes	—
610	#466	C₂²×C₁₃	1	2	yes	—
611	#464	C₂²×C₁₃	1	2	yes	—
612	#464	C₂²×C₁₃	1	2	yes	—
613	#464	C₂²×C₁₃	1	2	yes	—
614	#463	C₂²×C₁₃	1	2	yes	—
615	#462	C₂²×C₁₃	1	1	yes	characteristic
616	#462	C₂²×C₁₃	1	1	yes	characteristic
617	#460	C₂²×C₁₃	1	1	yes	characteristic
618	#459	C₂²×C₁₃	1	1	yes	characteristic
619	#452	C₂²×C₁₃	1	2	yes	—
620	#451	C₂²×C₁₃	1	2	yes	—
621	#451	C₂²×C₁₃	1	2	yes	—
622	#449	C₂²×C₁₃	1	2	yes	—
623	#449	C₂²×C₁₃	1	2	yes	—
624	#448	C₂²×C₁₃	1	2	yes	—
625	#446	C₂²×C₁₃	1	1	yes	characteristic
626	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic
627	#441	C₂²×C₁₃	1	2	yes	—
628	#441	C₂²×C₁₃	1	1	yes	characteristic
629	#441	C₂²×C₁₃	1	1	yes	characteristic
630	#440	C₂²×C₁₃	1	2	yes	—
631	#440	C₂²×C₁₃	1	2	yes	—
632	#440	C₂²×C₁₃	1	1	yes	characteristic
633	#440	C₂²×C₁₃	1	1	yes	characteristic
634	#440	C₂²×C₁₃	1	2	yes	—
635	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
636	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
637	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
638	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
639	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
640	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
641	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
642	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
643	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
644	C₄×D₈	C₂²×C₁₃	1	2	yes	—
645	#436	C₂²×C₁₃	1	2	yes	—
646	#436	C₂²×C₁₃	1	1	yes	characteristic
647	#435	C₂²×C₁₃	1	2	yes	—
648	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
649	#433	C₂²×C₁₃	1	2	yes	—
650	#431	C₂²×C₁₃	1	1	yes	characteristic
651	#428	C₂²×C₁₃	1	1	yes	characteristic
652	#428	C₂²×C₁₃	1	2	yes	—
653	#419	C₂²×C₁₃	1	1	yes	characteristic
654	#417	C₂²×C₁₃	1	1	yes	characteristic
655	#416	C₂²×C₁₃	1	2	yes	—
656	C₂×#103	C₂²×C₁₃	1	2	yes	—
657	#405	C₂²×C₁₃	1	2	yes	—
658	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
659	C₂²×C₁₃	—	2	1	no	—
660	C₂²×C₁₃	—	2	2	no	—
661	C₂²×C₁₃	—	2	2	no	—
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	—	2	1	no	—
664	C₂²×C₁₃	—	2	2	no	—
665	C₂²×C₁₃	—	4	2	no	—
666	C₂²×C₁₃	—	4	1	no	—
667	C₂²×C₁₃	—	4	1	no	—
668	C₂²×C₁₃	—	4	2	no	—
669	C₂²×C₁₃	—	4	1	no	—
670	C₂²×C₁₃	—	4	2	no	—
671	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
672	C₄×C₁₃	—	2	1	no	—
673	C₄×C₁₃	—	2	1	no	—
674	C₄×C₁₃	—	2	2	no	—
675	C₄×C₁₃	—	2	2	no	—
676	C₄×C₁₃	—	2	1	no	—
677	C₄×C₁₃	—	2	2	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	1	no	—
683	C₄×C₁₃	—	4	2	no	—
684	C₄×C₁₃	—	4	1	no	—
685	C₄×C₁₃	—	4	2	no	—
686	C₄×C₁₃	—	4	1	no	—
687	C₄×C₁₃	—	4	2	no	—
688	C₄×C₁₃	—	4	1	no	—
689	C₄×C₁₃	#578	1	2	yes	—
690	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
691	C₄×C₁₃	#585	1	1	yes	characteristic
692	C₂×#41	—	2	2	no	—
693	C₂×#41	—	2	1	no	—
694	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
695	C₂×#41	C₂³×C₁₃	1	2	yes	—
696	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
697	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
698	#137	—	2	4	no	—
699	#137	—	2	8	no	—
700	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
701	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
702	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
703	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
704	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
705	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
706	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
709	C₂×D₈	C₂³×C₁₃	1	2	yes	—
710	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
711	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
712	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
713	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
714	C₄⋊Q₈	—	2	1	no	—
715	C₄⋊Q₈	—	2	1	no	—
716	C₄⋊Q₈	—	2	1	no	—
717	C₄⋊Q₈	—	2	2	no	—
718	C₄⋊Q₈	—	2	2	no	—
719	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
721	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
722	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
723	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
724	#127	—	2	1	no	—
725	#127	C₂³×C₁₃	1	1	yes	characteristic
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	D₄×C₁₃	1	2	yes	—
732	#125	—	2	1	no	—
733	#125	—	2	1	no	—
734	#125	D₄×C₁₃	1	1	yes	characteristic
735	#124	—	2	1	no	—
736	#124	—	2	2	no	—
737	#124	—	2	2	no	—
738	#124	—	2	2	no	—
739	#124	—	2	2	no	—
740	#124	—	2	2	no	—
741	#124	—	2	2	no	—
742	#124	—	2	1	no	—
743	#124	D₄×C₁₃	1	1	yes	characteristic
744	#124	C₂³×C₁₃	1	2	yes	—
745	#124	C₂³×C₁₃	1	2	yes	—
746	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	—	2	2	no	—
749	#123	—	2	2	no	—
750	#123	—	2	2	no	—
751	#123	D₄×C₁₃	1	2	yes	—
752	C₂²⋊Q₈	—	2	1	no	—
753	C₂²⋊Q₈	—	2	1	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	—	2	2	no	—
757	C₂²⋊Q₈	—	2	2	no	—
758	C₂²⋊Q₈	—	2	2	no	—
759	C₂²⋊Q₈	—	2	2	no	—
760	C₂²⋊Q₈	—	2	2	no	—
761	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
762	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
763	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
764	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
765	#121	—	2	1	no	—
766	#121	—	2	2	no	—
767	#121	—	2	2	no	—
768	#121	—	2	1	no	—
769	#121	—	2	2	no	—
770	#121	D₄×C₁₃	1	1	yes	characteristic
771	#121	C₂³×C₁₃	1	2	yes	—
772	#121	C₂³×C₁₃	1	2	yes	—
773	#121	C₂³×C₁₃	1	2	yes	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	—	2	2	no	—
777	C₄×Q₈	—	2	2	no	—
778	C₄×Q₈	—	2	2	no	—
779	C₄×Q₈	—	2	1	no	—
780	C₄×Q₈	—	2	1	no	—
781	C₄×Q₈	—	2	1	no	—
782	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
783	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
784	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
785	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
786	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
787	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
788	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
789	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
790	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
791	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
792	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	1	no	—
797	C₄×D₄	—	2	1	no	—
798	C₄×D₄	—	2	1	no	—
799	C₄×D₄	—	2	2	no	—
800	C₄×D₄	—	2	2	no	—
801	C₄×D₄	—	2	2	no	—
802	C₄×D₄	—	2	2	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
805	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
806	C₄×D₄	C₂³×C₁₃	1	2	yes	—
807	C₄×D₄	C₂³×C₁₃	1	2	yes	—
808	C₄×D₄	C₂³×C₁₃	1	2	yes	—
809	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
810	#117	—	2	1	no	—
811	#117	—	2	2	no	—
812	#117	—	2	1	no	—
813	#117	—	2	1	no	—
814	#117	—	2	2	no	—
815	#117	—	2	2	no	—
816	#117	—	2	1	no	—
817	#117	C₂³×C₁₃	1	1	yes	characteristic
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	—	2	2	no	—
822	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
824	C₂×C₄²	—	2	1	no	—
825	C₂×C₄²	—	2	1	no	—
826	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
827	#107	C₂³×C₁₃	1	1	yes	characteristic
828	#107	C₂³×C₁₃	1	2	yes	—
829	#107	C₂³×C₁₃	1	1	yes	characteristic
830	#107	C₂³×C₁₃	1	2	yes	—
831	#107	C₂³×C₁₃	1	2	yes	—
832	#107	C₂³×C₁₃	1	2	yes	—
833	#107	C₂³×C₁₃	1	2	yes	—
834	#106	C₂³×C₁₃	1	1	yes	characteristic
835	#106	C₂³×C₁₃	1	1	yes	characteristic
836	#106	C₂³×C₁₃	1	2	yes	—
837	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
838	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
839	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
840	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
841	#103	C₂³×C₁₃	1	1	yes	characteristic
842	#103	C₂³×C₁₃	1	2	yes	—
843	#103	C₂³×C₁₃	1	2	yes	—
844	#103	C₂³×C₁₃	1	2	yes	—
845	#103	C₂³×C₁₃	1	1	yes	characteristic
846	#103	C₂³×C₁₃	1	2	yes	—
847	#103	C₂³×C₁₃	1	1	yes	characteristic
848	#103	C₂³×C₁₃	1	1	yes	characteristic
849	#103	C₂³×C₁₃	1	1	yes	characteristic
850	#103	C₂³×C₁₃	1	1	yes	characteristic
851	#103	C₂³×C₁₃	1	2	yes	—
852	#103	C₂³×C₁₃	1	2	yes	—
853	#103	C₂³×C₁₃	1	2	yes	—
854	#102	C₂³×C₁₃	1	2	yes	—
855	#102	C₂³×C₁₃	1	2	yes	—
856	#102	C₂³×C₁₃	1	1	yes	characteristic
857	#102	C₂³×C₁₃	1	1	yes	characteristic
858	#102	C₂³×C₁₃	1	2	yes	—
859	#102	C₂³×C₁₃	1	2	yes	—
860	#102	C₂³×C₁₃	1	2	yes	—
861	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
862	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
863	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
864	#97	C₂³×C₁₃	1	1	yes	characteristic
865	#97	C₂³×C₁₃	1	1	yes	characteristic
866	#97	C₂³×C₁₃	1	2	yes	—
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	C₄×C₈	C₂³×C₁₃	1	2	yes	—
871	C₂×C₁₃	—	4	1	no	—
872	C₂×C₁₃	—	4	2	no	—
873	C₂×C₁₃	—	8	2	no	—
874	C₂×C₁₃	—	8	1	no	—
875	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
876	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
877	C₂×C₁₃	#3585	1	1	yes	characteristic
878	#41	—	2	2	no	—
879	#41	—	2	4	no	—
880	#41	—	4	2	no	—
881	#41	—	4	1	no	—
882	#41	—	8	2	no	—
883	#41	—	8	4	no	—
884	C₂×Q₈	—	2	1	no	—
885	C₂×Q₈	—	2	2	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	2	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	1	no	—
890	C₂×Q₈	—	2	4	no	—
891	C₂×Q₈	—	2	2	no	—
892	C₂×Q₈	—	4	2	no	—
893	C₂×Q₈	—	4	1	no	—
894	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
895	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
896	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
897	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
898	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
899	C₂×D₄	—	2	1	no	—
900	C₂×D₄	—	2	2	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	1	no	—
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
907	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
908	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
909	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	2	1	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	—	2	2	no	—
925	Q₁₆	—	2	4	no	—
926	Q₁₆	—	4	2	no	—
927	Q₁₆	C₁₃×#41	1	4	yes	complemented
928	SD₁₆	—	2	4	no	—
929	SD₁₆	—	2	2	no	—
930	SD₁₆	—	2	4	no	—
931	SD₁₆	—	2	2	no	—
932	SD₁₆	—	4	2	no	—
933	D₈	—	4	2	no	—
934	M₁₆	—	2	2	no	—
935	M₁₆	—	2	4	no	—
936	M₁₆	—	4	1	no	—
937	C₂×C₈	—	4	2	no	—
938	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
939	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
940	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
941	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
942	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
943	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
944	C₄⋊C₄	—	2	1	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	1	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	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	2	no	—
965	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
966	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
967	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
968	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
970	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
971	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	2	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	1	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
994	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
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	C₄²	—	2	1	no	—
999	C₄²	—	2	1	no	—
1000	C₄²	—	2	1	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	1	no	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	2	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	—	2	2	no	—
1008	C₄²	—	2	2	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1011	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1012	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1013	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1014	C₄²	C₂⁴×C₁₃	1	2	yes	—
1015	C₁₃	#61558	1	1	yes	characteristic, direct product factor, Sylow
1016	C₂³	—	2	1	no	—
1017	C₂³	—	2	2	no	—
1018	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1019	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1020	Q₈	—	2	2	no	—
1021	Q₈	—	2	1	no	—
1022	Q₈	—	2	1	no	—
1023	Q₈	—	2	1	no	—
1024	Q₈	—	2	2	no	—
1025	Q₈	—	2	2	no	—
1026	Q₈	—	2	1	no	—
1027	Q₈	—	4	2	no	—
1028	Q₈	—	4	4	no	—
1029	Q₈	—	8	1	no	—
1030	Q₈	—	8	2	no	—
1031	Q₈	—	8	1	no	—
1032	Q₈	—	8	2	no	—
1033	Q₈	C₂×C₁₃×#41	1	2	yes	—
1034	Q₈	C₂×C₁₃×#41	1	2	yes	—
1035	D₄	—	2	2	no	—
1036	D₄	—	2	1	no	—
1037	D₄	—	2	2	no	—
1038	D₄	—	2	1	no	—
1039	D₄	—	2	2	no	—
1040	D₄	—	4	2	no	—
1041	D₄	—	4	4	no	—
1042	D₄	—	4	2	no	—
1043	D₄	—	4	4	no	—
1044	D₄	—	4	2	no	—
1045	D₄	—	8	1	no	—
1046	D₄	—	8	2	no	—
1047	D₄	—	8	2	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	2	no	—
1063	C₂×C₄	—	4	1	no	—
1064	C₂×C₄	—	4	4	no	—
1065	C₂×C₄	—	4	2	no	—
1066	C₂×C₄	—	4	2	no	—
1067	C₂×C₄	—	4	4	no	—
1068	C₂×C₄	—	4	2	no	—
1069	C₂×C₄	—	4	2	no	—
1070	C₂×C₄	—	8	1	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	1	yes	characteristic
1077	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1078	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1079	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
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	2	no	—
1085	C₈	—	2	1	no	—
1086	C₈	—	2	2	no	—
1087	C₈	—	2	1	no	—
1088	C₈	C₂×C₁₃×#41	1	2	yes	—
1089	C₂²	—	2	1	no	—
1090	C₂²	—	2	2	no	—
1091	C₂²	—	2	1	no	—
1092	C₂²	—	2	2	no	—
1093	C₂²	—	2	2	no	—
1094	C₂²	—	2	1	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	2	no	—
1097	C₂²	—	4	2	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	2	no	—
1101	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1102	C₄	—	2	1	no	—
1103	C₄	—	2	2	no	—
1104	C₄	—	2	1	no	—
1105	C₄	—	2	1	no	—
1106	C₄	—	2	2	no	—
1107	C₄	—	2	2	no	—
1108	C₄	—	2	1	no	—
1109	C₄	—	2	2	no	—
1110	C₄	—	2	2	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	1	no	—
1113	C₄	—	4	1	no	—
1114	C₄	—	4	2	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	2	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	2	no	—
1119	C₄	C₁₃×#578	1	2	yes	—
1120	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1121	C₄	C₁₃×#585	1	1	yes	characteristic
1122	C₂	—	4	1	no	—
1123	C₂	—	4	2	no	—
1124	C₂	—	8	1	no	—
1125	C₂	—	8	2	no	—
1126	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1127	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1128	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×#3522	C₂	semidirect
2. C₁₃×#3518	C₂	semidirect
3. C₁₃×#3394	C₂	semidirect
4. Q₈×C₁₃×Q₁₆	C₂	semidirect
5. C₁₃×#3375	C₂	semidirect
6. C₁₃×#3369	C₂	semidirect
7. C₁₃×#3357	C₂	semidirect
8. C₁₃×#3353	C₂	semidirect
9. C₁₃×#3313	C₂	semidirect
10. C₁₃×#3308	C₂	semidirect
11. C₁₃×#3305	C₂	semidirect
12. C₁₃×#3299	C₂	semidirect
13. C₁₃×#3278	C₂	semidirect
14. C₁₃×#3277	C₂	semidirect
15. C₁₃×#3182	C₂	semidirect
16. C₁₃×#3175	C₂	semidirect
17. C₁₃×#3124	C₂	semidirect
18. C₁₃×#3121	C₂	semidirect
19. C₁₃×#3106	C₂	semidirect
20. C₁₃×#3104	C₂	semidirect
21. C₁₃×#2969	C₂	semidirect
22. C₁₃×#2947	C₂	semidirect
23. C₄×C₁₃×#137	C₂	semidirect
314. #61558	C₁₃	direct (N × H)
364. C₁₃×Q₁₆	#41	semidirect
452. #3522	C₂×C₁₃	semidirect
453. #3518	C₂×C₁₃	semidirect
454. #3394	C₂×C₁₃	semidirect
455. Q₈×Q₁₆	C₂×C₁₃	semidirect
456. #3375	C₂×C₁₃	semidirect
457. #3369	C₂×C₁₃	semidirect
458. #3357	C₂×C₁₃	semidirect
459. #3353	C₂×C₁₃	semidirect
460. #3313	C₂×C₁₃	semidirect
461. #3308	C₂×C₁₃	semidirect
462. #3305	C₂×C₁₃	semidirect
463. #3299	C₂×C₁₃	semidirect
464. #3278	C₂×C₁₃	semidirect
465. #3277	C₂×C₁₃	semidirect
466. #3182	C₂×C₁₃	semidirect
467. #3175	C₂×C₁₃	semidirect
468. #3124	C₂×C₁₃	semidirect
469. #3121	C₂×C₁₃	semidirect
470. #3106	C₂×C₁₃	semidirect
471. #3104	C₂×C₁₃	semidirect
472. #2969	C₂×C₁₃	semidirect
473. #2947	C₂×C₁₃	semidirect
474. C₄×#137	C₂×C₁₃	semidirect
927. Q₁₆	C₁₃×#41	semidirect
1015. C₁₃	#61558	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×#3522	2
C₁₃×#3518	2
C₁₃×#3394	2
Q₈×C₁₃×Q₁₆	2
C₁₃×#3375	2
C₁₃×#3369	2
C₁₃×#3357	2
C₁₃×#3353	2
C₁₃×#3313	2
C₁₃×#3308	2
C₁₃×#3305	2
C₁₃×#3299	2
C₁₃×#3278	2
C₁₃×#3277	2
C₁₃×#3182	2
C₁₃×#3175	2
C₁₃×#3124	2
C₁₃×#3121	2
C₁₃×#3106	2
C₁₃×#3104	2
C₁₃×#2969	2
C₁₃×#2947	2
C₄×C₁₃×#137	2
#61558	13

Subgroups — C13×#61558 #15747897

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61558 #15747897