Subgroups — C₁₃×#60932 #15747271

Order 3328.

1768 conjugacy classes of subgroups.

The subgroup lattice has 1160 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3512	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3261	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3260	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3258	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3257	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3256	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3252	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3250	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3248	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3084	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3083	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3080	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#479	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3063	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3063	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3061	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3060	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3046	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3037	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2906	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
30	C₁₃×#553	—	2	2	no	—
31	C₁₃×#553	—	2	2	no	—
32	C₁₃×#553	—	2	1	no	—
33	C₁₃×#553	—	2	1	no	—
34	C₁₃×#552	—	2	1	no	—
35	C₁₃×#552	—	2	1	no	—
36	C₁₃×#544	C₂²	1	1	yes	characteristic
37	C₁₃×#542	—	2	1	no	—
38	C₁₃×#542	C₂²	1	2	yes	—
39	C₁₃×#541	—	2	1	no	—
40	C₁₃×#541	C₂²	1	2	yes	—
41	C₁₃×#541	C₂²	1	2	yes	—
42	C₁₃×#540	C₂²	1	2	yes	—
43	C₁₃×#539	—	2	2	no	—
44	C₁₃×#537	C₂²	1	1	yes	characteristic
45	C₁₃×#537	C₂²	1	1	yes	characteristic
46	C₁₃×#537	C₂²	1	1	yes	characteristic
47	C₁₃×#536	C₂²	1	1	yes	characteristic
48	C₁₃×#536	C₂²	1	1	yes	characteristic
49	C₁₃×#533	—	2	1	no	—
50	C₁₃×#533	C₂²	1	2	yes	—
51	C₁₃×#532	C₂²	1	1	yes	characteristic
52	C₁₃×#529	—	2	2	no	—
53	C₁₃×#529	—	2	1	no	—
54	C₁₃×#529	C₂²	1	2	yes	—
55	C₁₃×#529	C₂²	1	2	yes	—
56	C₁₃×#529	C₂²	1	2	yes	—
57	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
58	C₁₃×#520	C₂²	1	1	yes	characteristic
59	C₁₃×#520	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
61	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
62	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
63	C₁₃×#479	C₂²	1	2	yes	—
64	C₁₃×#479	C₂²	1	2	yes	—
65	C₁₃×#479	C₂²	1	2	yes	—
66	C₁₃×#479	C₂²	1	2	yes	—
67	C₁₃×#479	C₂²	1	2	yes	—
68	C₁₃×#479	C₂²	1	2	yes	—
69	C₁₃×#479	C₂²	1	2	yes	—
70	C₁₃×#479	C₂²	1	2	yes	—
71	C₁₃×#478	C₂²	1	2	yes	—
72	C₁₃×#478	C₂²	1	2	yes	—
73	C₁₃×#478	C₂²	1	2	yes	—
74	C₁₃×#478	C₂²	1	2	yes	—
75	C₁₃×#477	C₂²	1	2	yes	—
76	C₁₃×#476	C₂²	1	2	yes	—
77	C₁₃×#475	C₂²	1	2	yes	—
78	C₁₃×#474	C₂²	1	2	yes	—
79	C₁₃×#470	C₂²	1	2	yes	—
80	C₁₃×#470	C₂²	1	2	yes	—
81	C₁₃×#470	C₂²	1	2	yes	—
82	C₁₃×#469	C₂²	1	2	yes	—
83	C₁₃×#468	C₂²	1	2	yes	—
84	C₁₃×#468	C₂²	1	2	yes	—
85	C₁₃×#468	C₂²	1	2	yes	—
86	C₁₃×#468	C₂²	1	2	yes	—
87	C₁₃×#467	C₂²	1	2	yes	—
88	C₁₃×#467	C₂²	1	2	yes	—
89	C₁₃×#467	C₂²	1	2	yes	—
90	C₁₃×#466	C₂²	1	2	yes	—
91	C₁₃×#465	C₂²	1	2	yes	—
92	C₁₃×#465	C₂²	1	2	yes	—
93	C₁₃×#465	C₂²	1	2	yes	—
94	C₁₃×#465	C₂²	1	2	yes	—
95	C₁₃×#464	C₂²	1	1	yes	characteristic
96	C₁₃×#464	C₂²	1	1	yes	characteristic
97	C₁₃×#464	C₂²	1	2	yes	—
98	C₁₃×#464	C₂²	1	2	yes	—
99	C₁₃×#464	C₂²	1	2	yes	—
100	C₁₃×#464	C₂²	1	2	yes	—
101	C₁₃×#463	C₂²	1	1	yes	characteristic
102	C₁₃×#463	C₂²	1	1	yes	characteristic
103	C₁₃×#463	C₂²	1	2	yes	—
104	C₁₃×#463	C₂²	1	2	yes	—
105	C₁₃×#462	C₂²	1	1	yes	characteristic
106	C₁₃×#462	C₂²	1	2	yes	—
107	C₁₃×#462	C₂²	1	2	yes	—
108	C₁₃×#462	C₂²	1	2	yes	—
109	C₁₃×#461	C₂²	1	1	yes	characteristic
110	C₁₃×#461	C₂²	1	2	yes	—
111	C₁₃×#461	C₂²	1	2	yes	—
112	C₁₃×#460	C₂²	1	1	yes	characteristic
113	C₁₃×#460	C₂²	1	2	yes	—
114	C₁₃×#459	C₂²	1	1	yes	characteristic
115	C₁₃×#428	C₂²	1	1	yes	characteristic
116	C₁₃×#428	C₂²	1	1	yes	characteristic
117	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
118	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
119	C₁₃×#424	C₂²	1	1	yes	characteristic
120	C₁₃×#424	C₂²	1	1	yes	characteristic
121	C₁₃×#424	C₂²	1	2	yes	—
122	C₁₃×#424	C₂²	1	2	yes	—
123	C₁₃×#423	C₂²	1	1	yes	characteristic
124	C₁₃×#423	C₂²	1	2	yes	—
125	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	—
127	C₁₃×#417	C₂²	1	1	yes	characteristic
128	C₁₃×#417	C₂²	1	1	yes	characteristic
129	C₁₃×#417	C₂²	1	1	yes	characteristic
130	C₁₃×#417	C₂²	1	1	yes	characteristic
131	C₁₃×#416	C₂²	1	1	yes	characteristic
132	C₁₃×#416	C₂²	1	1	yes	characteristic
133	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
134	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
140	C₁₃×#137	—	4	2	no	—
141	C₁₃×#137	—	4	2	no	—
142	C₁₃×#135	—	4	2	no	—
143	C₁₃×#135	—	4	2	no	—
144	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
152	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
156	C₁₃×#131	—	4	2	no	—
157	C₁₃×#131	—	4	2	no	—
158	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
159	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
160	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
161	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
162	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
163	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
164	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
165	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	—	2	1	no	—
167	C₁₃×C₄⋊Q₈	—	2	1	no	—
168	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
169	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
170	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
171	C₁₃×#127	C₂³	1	1	yes	characteristic
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#126	—	2	2	no	—
178	C₁₃×#126	—	2	2	no	—
179	C₁₃×#126	—	2	2	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	1	no	—
182	C₁₃×#125	—	2	2	no	—
183	C₁₃×#125	—	2	2	no	—
184	C₁₃×#125	—	2	2	no	—
185	C₁₃×#125	—	2	1	no	—
186	C₁₃×#125	—	2	1	no	—
187	C₁₃×#125	—	2	2	no	—
188	C₁₃×#125	C₂³	1	2	yes	—
189	C₁₃×#125	C₂³	1	2	yes	—
190	C₁₃×#125	C₂³	1	2	yes	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	—	2	2	no	—
193	C₁₃×#124	C₂³	1	2	yes	—
194	C₁₃×#124	C₂³	1	1	yes	characteristic
195	C₁₃×#124	C₂³	1	1	yes	characteristic
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	1	no	—
206	C₁₃×C₂²⋊Q₈	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	1	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	no	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
214	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
215	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₁₃×#121	—	2	2	no	—
218	C₁₃×#121	—	2	1	no	—
219	C₁₃×#121	—	2	1	no	—
220	C₁₃×#121	—	2	1	no	—
221	C₁₃×#121	—	2	2	no	—
222	C₁₃×#121	—	2	2	no	—
223	C₁₃×#121	—	2	1	no	—
224	C₁₃×#121	—	2	1	no	—
225	C₁₃×#121	—	2	2	no	—
226	C₁₃×#121	—	2	2	no	—
227	C₁₃×#121	C₂³	1	2	yes	—
228	C₁₃×#121	C₂³	1	2	yes	—
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₄×Q₈×C₁₃	—	2	1	no	—
231	C₄×Q₈×C₁₃	—	2	1	no	—
232	C₄×Q₈×C₁₃	—	2	2	no	—
233	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
234	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
238	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
239	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	1	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	2	no	—
247	C₄×D₄×C₁₃	—	2	2	no	—
248	C₄×D₄×C₁₃	—	2	1	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
251	C₄×D₄×C₁₃	D₄	1	2	yes	—
252	C₄×D₄×C₁₃	D₄	1	2	yes	—
253	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₄×D₄×C₁₃	C₂³	1	2	yes	—
257	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	2	no	—
263	C₁₃×#117	—	2	2	no	—
264	C₁₃×#117	—	2	2	no	—
265	C₁₃×#117	C₂³	1	1	yes	characteristic
266	C₁₃×#117	C₂³	1	1	yes	characteristic
267	C₁₃×#117	C₂³	1	2	yes	—
268	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
269	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
271	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
272	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
273	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₄²×C₁₃	—	2	1	no	—
277	C₂×C₄²×C₁₃	—	2	1	no	—
278	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
280	C₁₃×#107	C₂³	1	2	yes	—
281	C₁₃×#107	C₂³	1	2	yes	—
282	C₁₃×#107	C₂³	1	2	yes	—
283	C₁₃×#107	C₂³	1	2	yes	—
284	C₁₃×#106	C₂³	1	2	yes	—
285	C₁₃×#106	C₂³	1	2	yes	—
286	C₁₃×#106	C₂³	1	2	yes	—
287	C₁₃×#106	C₂³	1	2	yes	—
288	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
289	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
290	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
291	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
293	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
294	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
295	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
296	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
297	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#103	C₂³	1	2	yes	—
301	C₁₃×#103	C₂³	1	2	yes	—
302	C₁₃×#103	C₂³	1	1	yes	characteristic
303	C₁₃×#103	C₂³	1	1	yes	characteristic
304	C₁₃×#103	C₂³	1	1	yes	characteristic
305	C₁₃×#103	C₂³	1	1	yes	characteristic
306	C₁₃×#103	C₂³	1	2	yes	—
307	C₁₃×#103	C₂³	1	2	yes	—
308	C₁₃×#103	C₂³	1	2	yes	—
309	C₁₃×#103	C₂³	1	2	yes	—
310	C₁₃×#102	C₂³	1	1	yes	characteristic
311	C₁₃×#102	C₂³	1	1	yes	characteristic
312	C₁₃×#102	C₂³	1	1	yes	characteristic
313	C₁₃×#102	C₂³	1	1	yes	characteristic
314	C₁₃×#102	C₂³	1	2	yes	—
315	C₁₃×#102	C₂³	1	2	yes	—
316	C₁₃×#102	C₂³	1	2	yes	—
317	C₁₃×#102	C₂³	1	2	yes	—
318	#60932	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
319	C₁₃×#41	—	2	2	no	—
320	C₁₃×#41	—	2	2	no	—
321	C₁₃×#41	—	2	2	no	—
322	C₁₃×#41	—	2	2	no	—
323	C₁₃×#41	—	2	2	no	—
324	C₁₃×#41	—	2	2	no	—
325	C₁₃×#41	—	2	2	no	—
326	C₁₃×#41	—	2	2	no	—
327	C₂×Q₈×C₁₃	—	2	1	no	—
328	C₂×Q₈×C₁₃	—	2	2	no	—
329	C₂×Q₈×C₁₃	—	2	2	no	—
330	C₂×Q₈×C₁₃	—	2	2	no	—
331	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
333	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	1	no	—
338	C₂×D₄×C₁₃	—	2	1	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	2	no	—
342	C₂×D₄×C₁₃	—	2	1	no	—
343	C₂×D₄×C₁₃	—	2	1	no	—
344	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
345	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
346	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
348	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₃	—	2	1	no	—
350	C₂²×C₄×C₁₃	—	2	1	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	1	no	—
355	C₂²×C₄×C₁₃	—	2	1	no	—
356	C₂²×C₄×C₁₃	—	2	1	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
361	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
363	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
364	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₁₃×Q₁₆	—	4	1	no	—
367	C₁₃×Q₁₆	—	4	1	no	—
368	C₁₃×Q₁₆	—	4	2	no	—
369	C₁₃×Q₁₆	—	4	2	no	—
370	C₁₃×SD₁₆	—	4	1	no	—
371	C₁₃×SD₁₆	—	4	1	no	—
372	C₁₃×SD₁₆	—	4	1	no	—
373	C₁₃×SD₁₆	—	4	1	no	—
374	C₁₃×SD₁₆	—	4	2	no	—
375	C₁₃×SD₁₆	—	4	2	no	—
376	C₁₃×D₈	—	4	1	no	—
377	C₁₃×D₈	—	4	1	no	—
378	C₁₃×M₁₆	—	2	2	no	—
379	C₁₃×M₁₆	—	2	2	no	—
380	C₁₃×M₁₆	—	4	2	no	—
381	C₁₃×M₁₆	—	4	2	no	—
382	C₂×C₈×C₁₃	—	2	2	no	—
383	C₂×C₈×C₁₃	—	2	2	no	—
384	C₂×C₈×C₁₃	—	4	2	no	—
385	C₂×C₈×C₁₃	—	4	2	no	—
386	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
387	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
388	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	2	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	—	2	1	no	—
403	C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	2	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	2	no	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	2	1	no	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	—	2	2	no	—
414	C₁₃×C₄⋊C₄	—	2	2	no	—
415	C₁₃×C₄⋊C₄	—	2	2	no	—
416	C₁₃×C₄⋊C₄	—	2	2	no	—
417	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
418	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
419	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
420	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
421	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
422	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
423	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
424	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
425	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	2	no	—
431	C₁₃×C₂²⋊C₄	—	2	2	no	—
432	C₁₃×C₂²⋊C₄	—	2	1	no	—
433	C₁₃×C₂²⋊C₄	—	2	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	1	no	—
437	C₁₃×C₂²⋊C₄	—	2	1	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	—	2	2	no	—
440	C₁₃×C₂²⋊C₄	—	2	2	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	1	no	—
443	C₁₃×C₂²⋊C₄	—	2	1	no	—
444	C₁₃×C₂²⋊C₄	—	2	2	no	—
445	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
446	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
447	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
448	C₄²×C₁₃	—	2	2	no	—
449	C₄²×C₁₃	—	2	1	no	—
450	C₄²×C₁₃	—	2	1	no	—
451	C₄²×C₁₃	—	2	1	no	—
452	C₄²×C₁₃	—	2	2	no	—
453	C₄²×C₁₃	—	2	2	no	—
454	C₄²×C₁₃	—	2	2	no	—
455	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
456	C₄²×C₁₃	C₂×D₄	1	2	yes	—
457	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
458	C₄²×C₁₃	C₂×D₄	1	2	yes	—
459	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
460	C₄²×C₁₃	C₂⁴	1	2	yes	—
461	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
462	#3512	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3461	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3261	C₂×C₁₃	1	2	yes	complemented
465	#3260	C₂×C₁₃	1	2	yes	complemented
466	#3258	C₂×C₁₃	1	2	yes	complemented
467	#3257	C₂×C₁₃	1	2	yes	complemented
468	#3256	C₂×C₁₃	1	2	yes	complemented
469	#3252	C₂×C₁₃	1	2	yes	complemented
470	#3250	C₂×C₁₃	1	2	yes	complemented
471	#3248	C₂×C₁₃	1	2	yes	complemented
472	#3084	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3083	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#3080	C₂×C₁₃	1	1	yes	characteristic, complemented
475	C₂×#479	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3063	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#3063	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3061	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3060	C₂×C₁₃	1	1	yes	characteristic, complemented
480	#3046	C₂×C₁₃	1	1	yes	characteristic, complemented
481	#3046	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#3037	C₂×C₁₃	1	1	yes	characteristic, complemented
483	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
484	#2906	C₂×C₁₃	1	1	yes	characteristic, complemented
485	C₂³×C₁₃	—	2	1	no	—
486	C₂³×C₁₃	—	2	1	no	—
487	C₂³×C₁₃	—	2	1	no	—
488	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
489	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
490	Q₈×C₁₃	—	2	2	no	—
491	Q₈×C₁₃	—	2	2	no	—
492	Q₈×C₁₃	—	2	1	no	—
493	Q₈×C₁₃	—	2	1	no	—
494	Q₈×C₁₃	—	2	1	no	—
495	Q₈×C₁₃	—	2	2	no	—
496	Q₈×C₁₃	—	2	1	no	—
497	Q₈×C₁₃	—	2	1	no	—
498	Q₈×C₁₃	—	2	1	no	—
499	Q₈×C₁₃	—	4	2	no	—
500	Q₈×C₁₃	—	8	2	no	—
501	D₄×C₁₃	—	2	4	no	—
502	D₄×C₁₃	—	2	2	no	—
503	D₄×C₁₃	—	2	1	no	—
504	D₄×C₁₃	—	2	1	no	—
505	D₄×C₁₃	—	2	1	no	—
506	D₄×C₁₃	—	2	1	no	—
507	D₄×C₁₃	—	2	1	no	—
508	D₄×C₁₃	—	2	1	no	—
509	D₄×C₁₃	—	4	2	no	—
510	D₄×C₁₃	—	4	2	no	—
511	D₄×C₁₃	—	4	2	no	—
512	D₄×C₁₃	—	8	1	no	—
513	D₄×C₁₃	—	8	1	no	—
514	D₄×C₁₃	—	8	2	no	—
515	D₄×C₁₃	—	8	2	no	—
516	D₄×C₁₃	—	8	2	no	—
517	C₂×C₄×C₁₃	—	2	2	no	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	1	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	2	no	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	4	1	no	—
529	C₂×C₄×C₁₃	—	4	2	no	—
530	C₂×C₄×C₁₃	—	4	2	no	—
531	C₂×C₄×C₁₃	—	4	1	no	—
532	C₂×C₄×C₁₃	—	4	2	no	—
533	C₂×C₄×C₁₃	—	4	2	no	—
534	C₂×C₄×C₁₃	—	4	2	no	—
535	C₂×C₄×C₁₃	—	4	2	no	—
536	C₂×C₄×C₁₃	—	4	2	no	—
537	C₂×C₄×C₁₃	—	8	1	no	—
538	C₂×C₄×C₁₃	—	8	2	no	—
539	C₂×C₄×C₁₃	—	8	2	no	—
540	C₂×C₄×C₁₃	—	8	1	no	—
541	C₂×C₄×C₁₃	—	8	1	no	—
542	C₂×C₄×C₁₃	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
549	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
550	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
551	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
552	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
553	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
554	C₈×C₁₃	—	2	1	no	—
555	C₈×C₁₃	—	2	1	no	—
556	C₈×C₁₃	—	2	1	no	—
557	C₈×C₁₃	—	2	1	no	—
558	C₈×C₁₃	—	2	2	no	—
559	C₈×C₁₃	—	2	2	no	—
560	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
561	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
562	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
563	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
564	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
565	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
566	#553	—	2	2	no	—
567	#553	—	2	2	no	—
568	#553	—	2	1	no	—
569	#553	—	2	1	no	—
570	#552	—	2	1	no	—
571	#552	—	2	1	no	—
572	#544	C₂²×C₁₃	1	1	yes	characteristic
573	#542	—	2	1	no	—
574	#542	C₂²×C₁₃	1	2	yes	—
575	#541	—	2	1	no	—
576	#541	C₂²×C₁₃	1	2	yes	—
577	#541	C₂²×C₁₃	1	2	yes	—
578	#540	C₂²×C₁₃	1	2	yes	—
579	#539	—	2	2	no	—
580	#537	C₂²×C₁₃	1	1	yes	characteristic
581	#537	C₂²×C₁₃	1	1	yes	characteristic
582	#537	C₂²×C₁₃	1	1	yes	characteristic
583	#536	C₂²×C₁₃	1	1	yes	characteristic
584	#536	C₂²×C₁₃	1	1	yes	characteristic
585	#533	—	2	1	no	—
586	#533	C₂²×C₁₃	1	2	yes	—
587	#532	C₂²×C₁₃	1	1	yes	characteristic
588	#529	—	2	2	no	—
589	#529	—	2	1	no	—
590	#529	C₂²×C₁₃	1	2	yes	—
591	#529	C₂²×C₁₃	1	2	yes	—
592	#529	C₂²×C₁₃	1	2	yes	—
593	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
594	#520	C₂²×C₁₃	1	1	yes	characteristic
595	#520	C₂²×C₁₃	1	1	yes	characteristic
596	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
597	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
598	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
599	#479	C₂²×C₁₃	1	2	yes	—
600	#479	C₂²×C₁₃	1	2	yes	—
601	#479	C₂²×C₁₃	1	2	yes	—
602	#479	C₂²×C₁₃	1	2	yes	—
603	#479	C₂²×C₁₃	1	2	yes	—
604	#479	C₂²×C₁₃	1	2	yes	—
605	#479	C₂²×C₁₃	1	2	yes	—
606	#479	C₂²×C₁₃	1	2	yes	—
607	#478	C₂²×C₁₃	1	2	yes	—
608	#478	C₂²×C₁₃	1	2	yes	—
609	#478	C₂²×C₁₃	1	2	yes	—
610	#478	C₂²×C₁₃	1	2	yes	—
611	#477	C₂²×C₁₃	1	2	yes	—
612	#476	C₂²×C₁₃	1	2	yes	—
613	#475	C₂²×C₁₃	1	2	yes	—
614	#474	C₂²×C₁₃	1	2	yes	—
615	#470	C₂²×C₁₃	1	2	yes	—
616	#470	C₂²×C₁₃	1	2	yes	—
617	#470	C₂²×C₁₃	1	2	yes	—
618	#469	C₂²×C₁₃	1	2	yes	—
619	#468	C₂²×C₁₃	1	2	yes	—
620	#468	C₂²×C₁₃	1	2	yes	—
621	#468	C₂²×C₁₃	1	2	yes	—
622	#468	C₂²×C₁₃	1	2	yes	—
623	#467	C₂²×C₁₃	1	2	yes	—
624	#467	C₂²×C₁₃	1	2	yes	—
625	#467	C₂²×C₁₃	1	2	yes	—
626	#466	C₂²×C₁₃	1	2	yes	—
627	#465	C₂²×C₁₃	1	2	yes	—
628	#465	C₂²×C₁₃	1	2	yes	—
629	#465	C₂²×C₁₃	1	2	yes	—
630	#465	C₂²×C₁₃	1	2	yes	—
631	#464	C₂²×C₁₃	1	1	yes	characteristic
632	#464	C₂²×C₁₃	1	2	yes	—
633	#464	C₂²×C₁₃	1	2	yes	—
634	#464	C₂²×C₁₃	1	2	yes	—
635	#464	C₂²×C₁₃	1	1	yes	characteristic
636	#464	C₂²×C₁₃	1	2	yes	—
637	#463	C₂²×C₁₃	1	1	yes	characteristic
638	#463	C₂²×C₁₃	1	2	yes	—
639	#463	C₂²×C₁₃	1	1	yes	characteristic
640	#463	C₂²×C₁₃	1	2	yes	—
641	#462	C₂²×C₁₃	1	2	yes	—
642	#462	C₂²×C₁₃	1	2	yes	—
643	#462	C₂²×C₁₃	1	2	yes	—
644	#462	C₂²×C₁₃	1	1	yes	characteristic
645	#461	C₂²×C₁₃	1	2	yes	—
646	#461	C₂²×C₁₃	1	2	yes	—
647	#461	C₂²×C₁₃	1	1	yes	characteristic
648	#460	C₂²×C₁₃	1	2	yes	—
649	#460	C₂²×C₁₃	1	1	yes	characteristic
650	#459	C₂²×C₁₃	1	1	yes	characteristic
651	#428	C₂²×C₁₃	1	1	yes	characteristic
652	#428	C₂²×C₁₃	1	1	yes	characteristic
653	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
654	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
655	#424	C₂²×C₁₃	1	1	yes	characteristic
656	#424	C₂²×C₁₃	1	1	yes	characteristic
657	#424	C₂²×C₁₃	1	2	yes	—
658	#424	C₂²×C₁₃	1	2	yes	—
659	#423	C₂²×C₁₃	1	1	yes	characteristic
660	#423	C₂²×C₁₃	1	2	yes	—
661	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
662	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	—
663	#417	C₂²×C₁₃	1	1	yes	characteristic
664	#417	C₂²×C₁₃	1	1	yes	characteristic
665	#417	C₂²×C₁₃	1	1	yes	characteristic
666	#417	C₂²×C₁₃	1	1	yes	characteristic
667	#416	C₂²×C₁₃	1	1	yes	characteristic
668	#416	C₂²×C₁₃	1	1	yes	characteristic
669	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
670	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
671	C₂²×C₁₃	—	2	1	no	—
672	C₂²×C₁₃	—	2	1	no	—
673	C₂²×C₁₃	—	2	2	no	—
674	C₂²×C₁₃	—	2	2	no	—
675	C₂²×C₁₃	—	2	2	no	—
676	C₂²×C₁₃	—	4	1	no	—
677	C₂²×C₁₃	—	4	1	no	—
678	C₂²×C₁₃	—	4	1	no	—
679	C₂²×C₁₃	—	4	1	no	—
680	C₂²×C₁₃	—	4	1	no	—
681	C₂²×C₁₃	—	4	1	no	—
682	C₂²×C₁₃	—	4	1	no	—
683	C₂²×C₁₃	—	4	1	no	—
684	C₂²×C₁₃	—	4	1	no	—
685	C₂²×C₁₃	#537	1	2	yes	—
686	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
687	C₄×C₁₃	—	2	1	no	—
688	C₄×C₁₃	—	2	1	no	—
689	C₄×C₁₃	—	2	2	no	—
690	C₄×C₁₃	—	2	1	no	—
691	C₄×C₁₃	—	2	2	no	—
692	C₄×C₁₃	—	2	1	no	—
693	C₄×C₁₃	—	2	2	no	—
694	C₄×C₁₃	—	4	2	no	—
695	C₄×C₁₃	—	4	2	no	—
696	C₄×C₁₃	—	4	1	no	—
697	C₄×C₁₃	—	4	1	no	—
698	C₄×C₁₃	—	4	2	no	—
699	C₄×C₁₃	—	4	1	no	—
700	C₄×C₁₃	—	4	1	no	—
701	C₄×C₁₃	—	4	1	no	—
702	C₄×C₁₃	—	4	2	no	—
703	C₄×C₁₃	#537	1	2	yes	—
704	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
705	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
706	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
707	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
710	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
711	#137	—	4	2	no	—
712	#137	—	4	2	no	—
713	#135	—	4	2	no	—
714	#135	—	4	2	no	—
715	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
716	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
717	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
718	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
719	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
720	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
721	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
722	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
723	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
724	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
725	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
726	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
727	#131	—	4	2	no	—
728	#131	—	4	2	no	—
729	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
730	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
731	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
732	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
733	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
734	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
735	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
736	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
737	C₄⋊Q₈	—	2	1	no	—
738	C₄⋊Q₈	—	2	1	no	—
739	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
740	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
741	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
742	#127	C₂³×C₁₃	1	1	yes	characteristic
743	#126	—	2	2	no	—
744	#126	—	2	2	no	—
745	#126	—	2	2	no	—
746	#126	—	2	2	no	—
747	#126	—	2	2	no	—
748	#126	—	2	2	no	—
749	#126	—	2	2	no	—
750	#126	—	2	2	no	—
751	#125	—	2	2	no	—
752	#125	—	2	1	no	—
753	#125	—	2	2	no	—
754	#125	—	2	2	no	—
755	#125	—	2	2	no	—
756	#125	—	2	1	no	—
757	#125	—	2	1	no	—
758	#125	—	2	2	no	—
759	#125	C₂³×C₁₃	1	2	yes	—
760	#125	C₂³×C₁₃	1	2	yes	—
761	#125	C₂³×C₁₃	1	2	yes	—
762	#124	—	2	1	no	—
763	#124	—	2	2	no	—
764	#124	C₂³×C₁₃	1	1	yes	characteristic
765	#124	C₂³×C₁₃	1	1	yes	characteristic
766	#124	C₂³×C₁₃	1	2	yes	—
767	#123	—	2	2	no	—
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	C₂²⋊Q₈	—	2	1	no	—
776	C₂²⋊Q₈	—	2	1	no	—
777	C₂²⋊Q₈	—	2	1	no	—
778	C₂²⋊Q₈	—	2	2	no	—
779	C₂²⋊Q₈	—	2	1	no	—
780	C₂²⋊Q₈	—	2	1	no	—
781	C₂²⋊Q₈	—	2	2	no	—
782	C₂²⋊Q₈	—	2	2	no	—
783	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
784	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
785	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
786	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
787	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
788	#121	—	2	2	no	—
789	#121	—	2	1	no	—
790	#121	—	2	1	no	—
791	#121	—	2	1	no	—
792	#121	—	2	2	no	—
793	#121	—	2	2	no	—
794	#121	—	2	1	no	—
795	#121	—	2	1	no	—
796	#121	—	2	2	no	—
797	#121	—	2	2	no	—
798	#121	C₂³×C₁₃	1	2	yes	—
799	#121	C₂³×C₁₃	1	2	yes	—
800	#121	C₂³×C₁₃	1	2	yes	—
801	C₄×Q₈	—	2	1	no	—
802	C₄×Q₈	—	2	1	no	—
803	C₄×Q₈	—	2	2	no	—
804	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
805	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
806	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
807	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
808	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
809	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
810	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
811	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	2	no	—
815	C₄×D₄	—	2	2	no	—
816	C₄×D₄	—	2	2	no	—
817	C₄×D₄	—	2	2	no	—
818	C₄×D₄	—	2	2	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
822	C₄×D₄	D₄×C₁₃	1	2	yes	—
823	C₄×D₄	D₄×C₁₃	1	2	yes	—
824	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
825	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
826	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
827	C₄×D₄	C₂³×C₁₃	1	2	yes	—
828	C₄×D₄	C₂³×C₁₃	1	2	yes	—
829	#117	—	2	2	no	—
830	#117	—	2	1	no	—
831	#117	—	2	1	no	—
832	#117	—	2	1	no	—
833	#117	—	2	2	no	—
834	#117	—	2	2	no	—
835	#117	—	2	2	no	—
836	#117	C₂³×C₁₃	1	1	yes	characteristic
837	#117	C₂³×C₁₃	1	1	yes	characteristic
838	#117	C₂³×C₁₃	1	2	yes	—
839	C₂×C₄⋊C₄	—	2	1	no	—
840	C₂×C₄⋊C₄	—	2	1	no	—
841	C₂×C₄⋊C₄	—	2	1	no	—
842	C₂×C₄⋊C₄	—	2	1	no	—
843	C₂×C₄⋊C₄	—	2	1	no	—
844	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
845	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
846	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
847	C₂×C₄²	—	2	1	no	—
848	C₂×C₄²	—	2	1	no	—
849	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
850	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
851	#107	C₂³×C₁₃	1	2	yes	—
852	#107	C₂³×C₁₃	1	2	yes	—
853	#107	C₂³×C₁₃	1	2	yes	—
854	#107	C₂³×C₁₃	1	2	yes	—
855	#106	C₂³×C₁₃	1	2	yes	—
856	#106	C₂³×C₁₃	1	2	yes	—
857	#106	C₂³×C₁₃	1	2	yes	—
858	#106	C₂³×C₁₃	1	2	yes	—
859	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
860	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
862	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
863	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
864	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
865	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
866	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
867	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
868	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
869	#103	C₂³×C₁₃	1	2	yes	—
870	#103	C₂³×C₁₃	1	2	yes	—
871	#103	C₂³×C₁₃	1	2	yes	—
872	#103	C₂³×C₁₃	1	2	yes	—
873	#103	C₂³×C₁₃	1	1	yes	characteristic
874	#103	C₂³×C₁₃	1	1	yes	characteristic
875	#103	C₂³×C₁₃	1	1	yes	characteristic
876	#103	C₂³×C₁₃	1	1	yes	characteristic
877	#103	C₂³×C₁₃	1	2	yes	—
878	#103	C₂³×C₁₃	1	2	yes	—
879	#103	C₂³×C₁₃	1	2	yes	—
880	#103	C₂³×C₁₃	1	2	yes	—
881	#102	C₂³×C₁₃	1	1	yes	characteristic
882	#102	C₂³×C₁₃	1	1	yes	characteristic
883	#102	C₂³×C₁₃	1	1	yes	characteristic
884	#102	C₂³×C₁₃	1	1	yes	characteristic
885	#102	C₂³×C₁₃	1	2	yes	—
886	#102	C₂³×C₁₃	1	2	yes	—
887	#102	C₂³×C₁₃	1	2	yes	—
888	#102	C₂³×C₁₃	1	2	yes	—
889	C₂×C₁₃	—	2	2	no	—
890	C₂×C₁₃	—	4	2	no	—
891	C₂×C₁₃	—	8	1	no	—
892	C₂×C₁₃	—	8	1	no	—
893	C₂×C₁₃	—	8	1	no	—
894	C₂×C₁₃	C₂×#537	1	1	yes	characteristic
895	C₂×C₁₃	#3584	1	1	yes	characteristic
896	C₂×C₁₃	#3586	1	1	yes	characteristic
897	#41	—	2	2	no	—
898	#41	—	2	2	no	—
899	#41	—	2	2	no	—
900	#41	—	2	2	no	—
901	#41	—	2	2	no	—
902	#41	—	2	2	no	—
903	#41	—	2	2	no	—
904	#41	—	2	2	no	—
905	C₂×Q₈	—	2	1	no	—
906	C₂×Q₈	—	2	2	no	—
907	C₂×Q₈	—	2	2	no	—
908	C₂×Q₈	—	2	2	no	—
909	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
910	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
911	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
912	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
913	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
914	C₂×D₄	—	2	1	no	—
915	C₂×D₄	—	2	1	no	—
916	C₂×D₄	—	2	1	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	1	no	—
921	C₂×D₄	—	2	1	no	—
922	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
923	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
924	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
925	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
926	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
927	C₂²×C₄	—	2	1	no	—
928	C₂²×C₄	—	2	1	no	—
929	C₂²×C₄	—	2	1	no	—
930	C₂²×C₄	—	2	1	no	—
931	C₂²×C₄	—	2	1	no	—
932	C₂²×C₄	—	2	1	no	—
933	C₂²×C₄	—	2	1	no	—
934	C₂²×C₄	—	2	1	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
939	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
940	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
941	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
942	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
943	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
944	Q₁₆	—	4	1	no	—
945	Q₁₆	—	4	1	no	—
946	Q₁₆	—	4	2	no	—
947	Q₁₆	—	4	2	no	—
948	SD₁₆	—	4	1	no	—
949	SD₁₆	—	4	1	no	—
950	SD₁₆	—	4	1	no	—
951	SD₁₆	—	4	1	no	—
952	SD₁₆	—	4	2	no	—
953	SD₁₆	—	4	2	no	—
954	D₈	—	4	1	no	—
955	D₈	—	4	1	no	—
956	M₁₆	—	2	2	no	—
957	M₁₆	—	2	2	no	—
958	M₁₆	—	4	2	no	—
959	M₁₆	—	4	2	no	—
960	C₂×C₈	—	2	2	no	—
961	C₂×C₈	—	2	2	no	—
962	C₂×C₈	—	4	2	no	—
963	C₂×C₈	—	4	2	no	—
964	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
965	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
966	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
967	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
968	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
969	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	2	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	2	2	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	2	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	—	2	2	no	—
992	C₄⋊C₄	—	2	2	no	—
993	C₄⋊C₄	—	2	2	no	—
994	C₄⋊C₄	—	2	2	no	—
995	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
996	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
997	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
998	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
999	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1000	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1001	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1002	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1003	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	1	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	1	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	1	no	—
1015	C₂²⋊C₄	—	2	1	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	2	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	1	no	—
1021	C₂²⋊C₄	—	2	1	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1024	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1025	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1026	C₄²	—	2	2	no	—
1027	C₄²	—	2	1	no	—
1028	C₄²	—	2	1	no	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	2	no	—
1031	C₄²	—	2	2	no	—
1032	C₄²	—	2	2	no	—
1033	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1034	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1035	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1036	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1037	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1038	C₄²	C₂⁴×C₁₃	1	2	yes	—
1039	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1040	C₁₃	#60932	1	1	yes	characteristic, direct product factor, Sylow
1041	C₂³	—	2	1	no	—
1042	C₂³	—	2	1	no	—
1043	C₂³	—	2	1	no	—
1044	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1045	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1046	Q₈	—	2	2	no	—
1047	Q₈	—	2	2	no	—
1048	Q₈	—	2	1	no	—
1049	Q₈	—	2	1	no	—
1050	Q₈	—	2	1	no	—
1051	Q₈	—	2	2	no	—
1052	Q₈	—	2	1	no	—
1053	Q₈	—	2	1	no	—
1054	Q₈	—	2	1	no	—
1055	Q₈	—	4	2	no	—
1056	Q₈	—	8	2	no	—
1057	D₄	—	2	4	no	—
1058	D₄	—	2	2	no	—
1059	D₄	—	2	1	no	—
1060	D₄	—	2	1	no	—
1061	D₄	—	2	1	no	—
1062	D₄	—	2	1	no	—
1063	D₄	—	2	1	no	—
1064	D₄	—	2	1	no	—
1065	D₄	—	4	2	no	—
1066	D₄	—	4	2	no	—
1067	D₄	—	4	2	no	—
1068	D₄	—	8	1	no	—
1069	D₄	—	8	1	no	—
1070	D₄	—	8	2	no	—
1071	D₄	—	8	2	no	—
1072	D₄	—	8	2	no	—
1073	C₂×C₄	—	2	2	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	—	2	1	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	4	1	no	—
1085	C₂×C₄	—	4	2	no	—
1086	C₂×C₄	—	4	2	no	—
1087	C₂×C₄	—	4	1	no	—
1088	C₂×C₄	—	4	2	no	—
1089	C₂×C₄	—	4	2	no	—
1090	C₂×C₄	—	4	2	no	—
1091	C₂×C₄	—	4	2	no	—
1092	C₂×C₄	—	4	2	no	—
1093	C₂×C₄	—	8	1	no	—
1094	C₂×C₄	—	8	2	no	—
1095	C₂×C₄	—	8	2	no	—
1096	C₂×C₄	—	8	1	no	—
1097	C₂×C₄	—	8	1	no	—
1098	C₂×C₄	—	8	1	no	—
1099	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1100	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1101	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1102	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1103	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1104	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1105	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1106	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1107	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1108	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1109	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1110	C₈	—	2	1	no	—
1111	C₈	—	2	1	no	—
1112	C₈	—	2	1	no	—
1113	C₈	—	2	1	no	—
1114	C₈	—	2	2	no	—
1115	C₈	—	2	2	no	—
1116	C₂²	—	2	1	no	—
1117	C₂²	—	2	1	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	2	2	no	—
1120	C₂²	—	2	2	no	—
1121	C₂²	—	4	1	no	—
1122	C₂²	—	4	1	no	—
1123	C₂²	—	4	1	no	—
1124	C₂²	—	4	1	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	1	no	—
1128	C₂²	—	4	1	no	—
1129	C₂²	—	4	1	no	—
1130	C₂²	C₁₃×#537	1	2	yes	—
1131	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1132	C₄	—	2	1	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	2	2	no	—
1135	C₄	—	2	1	no	—
1136	C₄	—	2	2	no	—
1137	C₄	—	2	1	no	—
1138	C₄	—	2	2	no	—
1139	C₄	—	4	2	no	—
1140	C₄	—	4	2	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	4	2	no	—
1144	C₄	—	4	1	no	—
1145	C₄	—	4	1	no	—
1146	C₄	—	4	1	no	—
1147	C₄	—	4	2	no	—
1148	C₄	C₁₃×#537	1	2	yes	—
1149	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1150	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1151	C₂	—	2	2	no	—
1152	C₂	—	4	2	no	—
1153	C₂	—	8	1	no	—
1154	C₂	—	8	1	no	—
1155	C₂	—	8	1	no	—
1156	C₂	C₂×C₁₃×#537	1	1	yes	characteristic
1157	C₂	C₁₃×#3584	1	1	yes	characteristic
1158	C₂	C₁₃×#3586	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 ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3512	C₂	semidirect
2. C₁₃×#3461	C₂	semidirect
3. C₁₃×#3261	C₂	semidirect
4. C₁₃×#3260	C₂	semidirect
5. C₁₃×#3258	C₂	semidirect
6. C₁₃×#3257	C₂	semidirect
7. C₁₃×#3256	C₂	semidirect
8. C₁₃×#3252	C₂	semidirect
9. C₁₃×#3250	C₂	semidirect
10. C₁₃×#3248	C₂	semidirect
11. C₁₃×#3084	C₂	semidirect
12. C₁₃×#3083	C₂	semidirect
13. C₁₃×#3080	C₂	semidirect
14. C₂×C₁₃×#479	C₂	semidirect
15. C₁₃×#3063	C₂	semidirect
16. C₁₃×#3063	C₂	semidirect
17. C₁₃×#3061	C₂	semidirect
18. C₁₃×#3060	C₂	semidirect
19. C₁₃×#3046	C₂	semidirect
20. C₁₃×#3046	C₂	semidirect
21. C₁₃×#3037	C₂	semidirect
22. C₁₃×#3035	C₂	semidirect
23. C₁₃×#2906	C₂	semidirect
318. #60932	C₁₃	direct (N × H)
462. #3512	C₂×C₁₃	semidirect
463. #3461	C₂×C₁₃	semidirect
464. #3261	C₂×C₁₃	semidirect
465. #3260	C₂×C₁₃	semidirect
466. #3258	C₂×C₁₃	semidirect
467. #3257	C₂×C₁₃	semidirect
468. #3256	C₂×C₁₃	semidirect
469. #3252	C₂×C₁₃	semidirect
470. #3250	C₂×C₁₃	semidirect
471. #3248	C₂×C₁₃	semidirect
472. #3084	C₂×C₁₃	semidirect
473. #3083	C₂×C₁₃	semidirect
474. #3080	C₂×C₁₃	semidirect
475. C₂×#479	C₂×C₁₃	semidirect
476. #3063	C₂×C₁₃	semidirect
477. #3063	C₂×C₁₃	semidirect
478. #3061	C₂×C₁₃	semidirect
479. #3060	C₂×C₁₃	semidirect
480. #3046	C₂×C₁₃	semidirect
481. #3046	C₂×C₁₃	semidirect
482. #3037	C₂×C₁₃	semidirect
483. #3035	C₂×C₁₃	semidirect
484. #2906	C₂×C₁₃	semidirect
1040. C₁₃	#60932	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×#3512	2
C₁₃×#3461	2
C₁₃×#3261	2
C₁₃×#3260	2
C₁₃×#3258	2
C₁₃×#3257	2
C₁₃×#3256	2
C₁₃×#3252	2
C₁₃×#3250	2
C₁₃×#3248	2
C₁₃×#3084	2
C₁₃×#3083	2
C₁₃×#3080	2
C₂×C₁₃×#479	2
C₁₃×#3063	2
C₁₃×#3061	2
C₁₃×#3060	2
C₁₃×#3046	2
C₁₃×#3037	2
C₁₃×#3035	2
C₁₃×#2906	2
#60932	13

Subgroups — C13×#60932 #15747271

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60932 #15747271