Subgroups — C₁₃×#61976 #15748315

Order 3328.

1846 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×#3517	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3482	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3397	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3368	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3332	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3330	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3317	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3271	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3256	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3248	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3219	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3210	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3117	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3037	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2989	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	—
25	C₂×C₁₃×#137	C₂²	1	2	yes	—
26	C₂×C₁₃×#135	C₂²	1	2	yes	—
27	C₁₃×#557	C₂²	1	1	yes	characteristic
28	C₁₃×#557	C₂²	1	1	yes	characteristic
29	C₁₃×#556	—	2	1	no	—
30	C₁₃×#556	C₂²	1	1	yes	characteristic
31	C₁₃×#553	—	2	2	no	—
32	C₁₃×#553	—	2	1	no	—
33	C₁₃×#552	—	2	2	no	—
34	C₁₃×#552	C₂²	1	2	yes	—
35	C₁₃×#550	—	2	1	no	—
36	C₁₃×#550	C₂²	1	2	yes	—
37	C₁₃×#550	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×#547	—	2	1	no	—
42	C₁₃×#547	C₂²	1	2	yes	—
43	C₁₃×#547	C₂²	1	1	yes	characteristic
44	C₁₃×#547	C₂²	1	1	yes	characteristic
45	C₁₃×#540	—	2	1	no	—
46	C₁₃×#540	—	2	2	no	—
47	C₁₃×#533	—	2	1	no	—
48	C₁₃×#533	C₂²	1	1	yes	characteristic
49	C₁₃×#532	C₂²	1	1	yes	characteristic
50	C₁₃×#532	C₂²	1	2	yes	—
51	C₁₃×#529	—	2	2	no	—
52	C₁₃×#529	C₂²	1	1	yes	characteristic
53	C₁₃×#529	C₂²	1	2	yes	—
54	C₁₃×#529	C₂²	1	2	yes	—
55	C₁₃×#520	—	2	1	no	—
56	C₄×C₁₃×#41	—	2	1	no	—
57	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
59	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
60	C₁₃×#497	C₂²	1	2	yes	—
61	C₁₃×#496	C₂²	1	2	yes	—
62	C₁₃×#494	C₂²	1	1	yes	characteristic
63	C₁₃×#492	C₂²	1	1	yes	characteristic
64	C₁₃×#491	C₂²	1	2	yes	—
65	C₁₃×#490	C₂²	1	2	yes	—
66	C₁₃×#487	C₂²	1	1	yes	characteristic
67	C₁₃×#486	C₂²	1	1	yes	characteristic
68	C₁₃×#485	C₂²	1	1	yes	characteristic
69	C₁₃×#484	C₂²	1	2	yes	—
70	C₁₃×#482	C₂²	1	1	yes	characteristic
71	C₁₃×#481	C₂²	1	2	yes	—
72	C₁₃×#479	C₂²	1	2	yes	—
73	C₁₃×#479	C₂²	1	1	yes	characteristic
74	C₁₃×#479	C₂²	1	2	yes	—
75	C₁₃×#478	C₂²	1	2	yes	—
76	C₁₃×#478	C₂²	1	1	yes	characteristic
77	C₁₃×#475	C₂²	1	1	yes	characteristic
78	C₁₃×#474	C₂²	1	1	yes	characteristic
79	C₁₃×#470	C₂²	1	2	yes	—
80	C₁₃×#469	C₂²	1	2	yes	—
81	C₁₃×#468	C₂²	1	2	yes	—
82	C₁₃×#468	C₂²	1	2	yes	—
83	C₁₃×#467	C₂²	1	2	yes	—
84	C₁₃×#465	C₂²	1	2	yes	—
85	C₁₃×#464	C₂²	1	2	yes	—
86	C₁₃×#464	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	1	yes	characteristic
88	C₁₃×#464	C₂²	1	2	yes	—
89	C₁₃×#464	C₂²	1	2	yes	—
90	C₁₃×#464	C₂²	1	2	yes	—
91	C₁₃×#463	C₂²	1	2	yes	—
92	C₁₃×#463	C₂²	1	2	yes	—
93	C₁₃×#463	C₂²	1	1	yes	characteristic
94	C₁₃×#462	C₂²	1	2	yes	—
95	C₁₃×#462	C₂²	1	1	yes	characteristic
96	C₁₃×#462	C₂²	1	1	yes	characteristic
97	C₁₃×#462	C₂²	1	2	yes	—
98	C₁₃×#461	C₂²	1	1	yes	characteristic
99	C₁₃×#461	C₂²	1	1	yes	characteristic
100	C₁₃×#460	C₂²	1	2	yes	—
101	C₁₃×#460	C₂²	1	1	yes	characteristic
102	C₁₃×#460	C₂²	1	2	yes	—
103	C₁₃×#459	C₂²	1	1	yes	characteristic
104	C₁₃×#452	C₂²	1	1	yes	characteristic
105	C₁₃×#452	C₂²	1	2	yes	—
106	C₁₃×#452	C₂²	1	2	yes	—
107	C₁₃×#452	C₂²	1	2	yes	—
108	C₁₃×#452	C₂²	1	2	yes	—
109	C₁₃×#451	C₂²	1	2	yes	—
110	C₁₃×#449	C₂²	1	2	yes	—
111	C₁₃×#449	C₂²	1	1	yes	characteristic
112	C₁₃×#449	C₂²	1	2	yes	—
113	C₁₃×#448	C₂²	1	2	yes	—
114	C₁₃×#446	C₂²	1	1	yes	characteristic
115	C₁₃×#446	C₂²	1	1	yes	characteristic
116	C₁₃×#441	C₂²	1	2	yes	—
117	C₁₃×#441	C₂²	1	2	yes	—
118	C₁₃×#440	C₂²	1	2	yes	—
119	C₁₃×#440	C₂²	1	2	yes	—
120	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
121	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
122	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
123	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
124	C₁₃×#436	C₂²	1	1	yes	characteristic
125	C₁₃×#436	C₂²	1	1	yes	characteristic
126	C₁₃×#435	C₂²	1	2	yes	—
127	C₁₃×#435	C₂²	1	2	yes	—
128	C₁₃×#432	C₂²	1	2	yes	—
129	C₁₃×#431	C₂²	1	1	yes	characteristic
130	C₁₃×#423	C₂²	1	2	yes	—
131	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
132	C₁₃×#417	C₂²	1	2	yes	—
133	C₁₃×#417	C₂²	1	2	yes	—
134	C₁₃×#416	C₂²	1	2	yes	—
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
138	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
139	C₂×C₁₃×#41	C₂³	1	2	yes	—
140	C₂×C₁₃×#41	C₂³	1	2	yes	—
141	C₂×C₁₃×#41	C₂³	1	2	yes	—
142	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
143	C₁₃×#137	—	4	4	no	—
144	C₁₃×#137	—	4	4	no	—
145	C₁₃×#135	—	4	4	no	—
146	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
153	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
159	C₂×C₁₃×D₈	C₂³	1	2	yes	—
160	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
161	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
162	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
163	C₁₃×C₄⋊Q₈	—	2	1	no	—
164	C₁₃×C₄⋊Q₈	—	2	1	no	—
165	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
168	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₃×#127	—	2	1	no	—
170	C₁₃×#127	—	2	2	no	—
171	C₁₃×#127	C₂³	1	1	yes	characteristic
172	C₁₃×#127	C₂³	1	2	yes	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	1	no	—
177	C₁₃×#126	—	2	2	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	2	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	—	2	1	no	—
183	C₁₃×#125	C₂³	1	1	yes	characteristic
184	C₁₃×#125	C₂³	1	2	yes	—
185	C₁₃×#124	—	2	2	no	—
186	C₁₃×#124	C₂³	1	2	yes	—
187	C₁₃×#124	C₂³	1	1	yes	characteristic
188	C₁₃×#124	C₂³	1	2	yes	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	1	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×C₂²⋊Q₈	—	2	1	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	C₂³	1	2	yes	—
203	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
205	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
206	C₁₃×#121	—	2	2	no	—
207	C₁₃×#121	—	2	1	no	—
208	C₁₃×#121	—	2	2	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	1	no	—
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	—	2	1	no	—
214	C₁₃×#121	—	2	2	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	2	no	—
218	C₁₃×#121	C₂³	1	2	yes	—
219	C₁₃×#121	C₂³	1	2	yes	—
220	C₁₃×#121	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₁₃	—	2	1	no	—
222	C₄×Q₈×C₁₃	—	2	1	no	—
223	C₄×Q₈×C₁₃	—	2	2	no	—
224	C₄×Q₈×C₁₃	—	2	2	no	—
225	C₄×Q₈×C₁₃	—	2	1	no	—
226	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
234	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	2	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	2	no	—
241	C₄×D₄×C₁₃	—	2	2	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	—	2	1	no	—
245	C₄×D₄×C₁₃	—	2	2	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	2	no	—
248	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
249	C₄×D₄×C₁₃	D₄	1	2	yes	—
250	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	2	yes	—
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₃	C₂³	1	2	yes	—
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	—	2	1	no	—
258	C₁₃×#117	—	2	2	no	—
259	C₁₃×#117	—	2	1	no	—
260	C₁₃×#117	—	2	1	no	—
261	C₁₃×#117	—	2	2	no	—
262	C₁₃×#117	—	2	2	no	—
263	C₁₃×#117	D₄	1	2	yes	—
264	C₁₃×#117	D₄	1	1	yes	characteristic
265	C₁₃×#117	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
267	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
268	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
269	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
270	C₂×C₄²×C₁₃	—	2	2	no	—
271	C₂×C₄²×C₁₃	—	2	1	no	—
272	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
274	C₁₃×#107	C₂³	1	1	yes	characteristic
275	C₁₃×#107	C₂³	1	1	yes	characteristic
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	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
285	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	2	yes	—
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	1	yes	characteristic
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	1	yes	characteristic
293	C₁₃×#103	C₂³	1	1	yes	characteristic
294	C₁₃×#103	C₂³	1	1	yes	characteristic
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
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	1	yes	characteristic
304	C₁₃×#102	C₂³	1	1	yes	characteristic
305	C₁₃×#102	C₂³	1	1	yes	characteristic
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	2	yes	—
312	C₁₃×#97	C₂³	1	2	yes	—
313	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
314	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
315	#61976	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	4	2	no	—
318	C₁₃×#41	—	4	1	no	—
319	C₁₃×#41	—	4	2	no	—
320	C₁₃×#41	—	4	2	no	—
321	C₁₃×#41	—	4	2	no	—
322	C₁₃×#41	—	4	2	no	—
323	C₁₃×#41	—	4	2	no	—
324	C₁₃×#41	—	4	2	no	—
325	C₁₃×#41	—	4	4	no	—
326	C₁₃×#41	—	4	4	no	—
327	C₂×Q₈×C₁₃	—	2	2	no	—
328	C₂×Q₈×C₁₃	—	2	1	no	—
329	C₂×Q₈×C₁₃	—	2	4	no	—
330	C₂×Q₈×C₁₃	—	4	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	2	yes	—
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	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	2	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	1	no	—
345	C₂×D₄×C₁₃	—	2	2	no	—
346	C₂×D₄×C₁₃	—	2	1	no	—
347	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
348	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
349	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
350	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	2	2	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	2	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	2	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
363	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
364	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
365	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₁₃×Q₁₆	—	2	4	no	—
369	C₁₃×Q₁₆	—	2	2	no	—
370	C₁₃×Q₁₆	—	4	2	no	—
371	C₁₃×Q₁₆	—	4	2	no	—
372	C₁₃×Q₁₆	—	4	2	no	—
373	C₁₃×SD₁₆	—	2	4	no	—
374	C₁₃×SD₁₆	—	2	2	no	—
375	C₁₃×SD₁₆	—	4	2	no	—
376	C₁₃×SD₁₆	—	4	1	no	—
377	C₁₃×SD₁₆	—	4	2	no	—
378	C₁₃×SD₁₆	—	4	2	no	—
379	C₁₃×SD₁₆	—	4	2	no	—
380	C₁₃×D₈	—	4	1	no	—
381	C₁₃×D₈	—	4	2	no	—
382	C₁₃×M₁₆	—	4	2	no	—
383	C₁₃×M₁₆	—	4	2	no	—
384	C₂×C₈×C₁₃	—	4	2	no	—
385	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
390	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
391	C₁₃×C₄⋊C₄	—	2	1	no	—
392	C₁₃×C₄⋊C₄	—	2	1	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	2	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	2	no	—
409	C₁₃×C₄⋊C₄	—	2	1	no	—
410	C₁₃×C₄⋊C₄	—	2	2	no	—
411	C₁₃×C₄⋊C₄	—	2	1	no	—
412	C₁₃×C₄⋊C₄	—	2	2	no	—
413	C₁₃×C₄⋊C₄	—	2	1	no	—
414	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
415	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
417	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
418	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
420	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
421	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
422	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
423	C₁₃×C₂²⋊C₄	—	2	2	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	no	—
425	C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₁₃×C₂²⋊C₄	—	2	1	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	1	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	1	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	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	1	no	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₄²×C₁₃	—	2	1	no	—
445	C₄²×C₁₃	—	2	1	no	—
446	C₄²×C₁₃	—	2	2	no	—
447	C₄²×C₁₃	—	2	2	no	—
448	C₄²×C₁₃	—	2	1	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	—	2	2	no	—
451	C₄²×C₁₃	—	2	1	no	—
452	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
453	C₄²×C₁₃	C₂×D₄	1	2	yes	—
454	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
455	C₄²×C₁₃	C₂×D₄	1	2	yes	—
456	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
457	C₄²×C₁₃	C₂⁴	1	2	yes	—
458	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
459	#3517	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3482	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3398	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3397	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3374	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3368	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3332	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3330	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3317	C₂×C₁₃	1	2	yes	complemented
468	#3315	C₂×C₁₃	1	2	yes	complemented
469	#3278	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3276	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3271	C₂×C₁₃	1	2	yes	complemented
472	#3269	C₂×C₁₃	1	2	yes	complemented
473	#3256	C₂×C₁₃	1	2	yes	complemented
474	#3248	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3219	C₂×C₁₃	1	2	yes	complemented
476	#3210	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#3117	C₂×C₁₃	1	2	yes	complemented
478	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3037	C₂×C₁₃	1	2	yes	complemented
480	#3035	C₂×C₁₃	1	1	yes	characteristic, complemented
481	#2989	C₂×C₁₃	1	1	yes	characteristic, complemented
482	C₂³×C₁₃	—	2	1	no	—
483	C₂³×C₁₃	—	2	2	no	—
484	C₂³×C₁₃	—	2	1	no	—
485	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
486	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
487	Q₈×C₁₃	—	2	2	no	—
488	Q₈×C₁₃	—	2	1	no	—
489	Q₈×C₁₃	—	2	2	no	—
490	Q₈×C₁₃	—	2	2	no	—
491	Q₈×C₁₃	—	2	1	no	—
492	Q₈×C₁₃	—	2	2	no	—
493	Q₈×C₁₃	—	2	1	no	—
494	Q₈×C₁₃	—	2	2	no	—
495	Q₈×C₁₃	—	4	4	no	—
496	Q₈×C₁₃	—	4	2	no	—
497	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
498	D₄×C₁₃	—	2	2	no	—
499	D₄×C₁₃	—	2	1	no	—
500	D₄×C₁₃	—	2	2	no	—
501	D₄×C₁₃	—	2	1	no	—
502	D₄×C₁₃	—	2	1	no	—
503	D₄×C₁₃	—	2	1	no	—
504	D₄×C₁₃	—	2	2	no	—
505	D₄×C₁₃	—	4	2	no	—
506	D₄×C₁₃	—	4	2	no	—
507	D₄×C₁₃	—	4	4	no	—
508	D₄×C₁₃	—	4	4	no	—
509	D₄×C₁₃	—	4	2	no	—
510	D₄×C₁₃	—	8	2	no	—
511	D₄×C₁₃	—	8	1	no	—
512	D₄×C₁₃	—	8	1	no	—
513	D₄×C₁₃	—	8	2	no	—
514	D₄×C₁₃	—	8	2	no	—
515	D₄×C₁₃	—	8	2	no	—
516	D₄×C₁₃	—	8	2	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	1	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	2	no	—
529	C₂×C₄×C₁₃	—	2	1	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	4	2	no	—
532	C₂×C₄×C₁₃	—	4	1	no	—
533	C₂×C₄×C₁₃	—	4	2	no	—
534	C₂×C₄×C₁₃	—	4	2	no	—
535	C₂×C₄×C₁₃	—	4	4	no	—
536	C₂×C₄×C₁₃	—	4	2	no	—
537	C₂×C₄×C₁₃	—	4	4	no	—
538	C₂×C₄×C₁₃	—	4	4	no	—
539	C₂×C₄×C₁₃	—	4	2	no	—
540	C₂×C₄×C₁₃	—	4	2	no	—
541	C₂×C₄×C₁₃	—	8	2	no	—
542	C₂×C₄×C₁₃	—	8	2	no	—
543	C₂×C₄×C₁₃	—	8	2	no	—
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	1	yes	characteristic
547	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
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	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
553	C₈×C₁₃	—	2	2	no	—
554	C₈×C₁₃	—	2	2	no	—
555	C₈×C₁₃	—	2	1	no	—
556	C₈×C₁₃	—	2	1	no	—
557	C₈×C₁₃	—	2	1	no	—
558	C₈×C₁₃	—	2	1	no	—
559	C₂×#137	C₂²×C₁₃	1	2	yes	—
560	C₂×#137	C₂²×C₁₃	1	2	yes	—
561	C₂×#135	C₂²×C₁₃	1	2	yes	—
562	#557	C₂²×C₁₃	1	1	yes	characteristic
563	#557	C₂²×C₁₃	1	1	yes	characteristic
564	#556	—	2	1	no	—
565	#556	C₂²×C₁₃	1	1	yes	characteristic
566	#553	—	2	2	no	—
567	#553	—	2	1	no	—
568	#552	—	2	2	no	—
569	#552	C₂²×C₁₃	1	2	yes	—
570	#550	—	2	1	no	—
571	#550	C₂²×C₁₃	1	1	yes	characteristic
572	#550	C₂²×C₁₃	1	2	yes	—
573	#550	C₂²×C₁₃	1	1	yes	characteristic
574	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
575	#548	C₂²×C₁₃	1	2	yes	—
576	#547	—	2	1	no	—
577	#547	C₂²×C₁₃	1	1	yes	characteristic
578	#547	C₂²×C₁₃	1	2	yes	—
579	#547	C₂²×C₁₃	1	1	yes	characteristic
580	#540	—	2	1	no	—
581	#540	—	2	2	no	—
582	#533	—	2	1	no	—
583	#533	C₂²×C₁₃	1	1	yes	characteristic
584	#532	C₂²×C₁₃	1	1	yes	characteristic
585	#532	C₂²×C₁₃	1	2	yes	—
586	#529	—	2	2	no	—
587	#529	C₂²×C₁₃	1	1	yes	characteristic
588	#529	C₂²×C₁₃	1	2	yes	—
589	#529	C₂²×C₁₃	1	2	yes	—
590	#520	—	2	1	no	—
591	C₄×#41	—	2	1	no	—
592	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
593	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
594	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
595	#497	C₂²×C₁₃	1	2	yes	—
596	#496	C₂²×C₁₃	1	2	yes	—
597	#494	C₂²×C₁₃	1	1	yes	characteristic
598	#492	C₂²×C₁₃	1	1	yes	characteristic
599	#491	C₂²×C₁₃	1	2	yes	—
600	#490	C₂²×C₁₃	1	2	yes	—
601	#487	C₂²×C₁₃	1	1	yes	characteristic
602	#486	C₂²×C₁₃	1	1	yes	characteristic
603	#485	C₂²×C₁₃	1	1	yes	characteristic
604	#484	C₂²×C₁₃	1	2	yes	—
605	#482	C₂²×C₁₃	1	1	yes	characteristic
606	#481	C₂²×C₁₃	1	2	yes	—
607	#479	C₂²×C₁₃	1	1	yes	characteristic
608	#479	C₂²×C₁₃	1	2	yes	—
609	#479	C₂²×C₁₃	1	2	yes	—
610	#478	C₂²×C₁₃	1	1	yes	characteristic
611	#478	C₂²×C₁₃	1	2	yes	—
612	#475	C₂²×C₁₃	1	1	yes	characteristic
613	#474	C₂²×C₁₃	1	1	yes	characteristic
614	#470	C₂²×C₁₃	1	2	yes	—
615	#469	C₂²×C₁₃	1	2	yes	—
616	#468	C₂²×C₁₃	1	2	yes	—
617	#468	C₂²×C₁₃	1	2	yes	—
618	#467	C₂²×C₁₃	1	2	yes	—
619	#465	C₂²×C₁₃	1	2	yes	—
620	#464	C₂²×C₁₃	1	1	yes	characteristic
621	#464	C₂²×C₁₃	1	2	yes	—
622	#464	C₂²×C₁₃	1	2	yes	—
623	#464	C₂²×C₁₃	1	2	yes	—
624	#464	C₂²×C₁₃	1	2	yes	—
625	#464	C₂²×C₁₃	1	2	yes	—
626	#463	C₂²×C₁₃	1	1	yes	characteristic
627	#463	C₂²×C₁₃	1	2	yes	—
628	#463	C₂²×C₁₃	1	2	yes	—
629	#462	C₂²×C₁₃	1	2	yes	—
630	#462	C₂²×C₁₃	1	1	yes	characteristic
631	#462	C₂²×C₁₃	1	1	yes	characteristic
632	#462	C₂²×C₁₃	1	2	yes	—
633	#461	C₂²×C₁₃	1	1	yes	characteristic
634	#461	C₂²×C₁₃	1	1	yes	characteristic
635	#460	C₂²×C₁₃	1	2	yes	—
636	#460	C₂²×C₁₃	1	1	yes	characteristic
637	#460	C₂²×C₁₃	1	2	yes	—
638	#459	C₂²×C₁₃	1	1	yes	characteristic
639	#452	C₂²×C₁₃	1	1	yes	characteristic
640	#452	C₂²×C₁₃	1	2	yes	—
641	#452	C₂²×C₁₃	1	2	yes	—
642	#452	C₂²×C₁₃	1	2	yes	—
643	#452	C₂²×C₁₃	1	2	yes	—
644	#451	C₂²×C₁₃	1	2	yes	—
645	#449	C₂²×C₁₃	1	2	yes	—
646	#449	C₂²×C₁₃	1	2	yes	—
647	#449	C₂²×C₁₃	1	1	yes	characteristic
648	#448	C₂²×C₁₃	1	2	yes	—
649	#446	C₂²×C₁₃	1	1	yes	characteristic
650	#446	C₂²×C₁₃	1	1	yes	characteristic
651	#441	C₂²×C₁₃	1	2	yes	—
652	#441	C₂²×C₁₃	1	2	yes	—
653	#440	C₂²×C₁₃	1	2	yes	—
654	#440	C₂²×C₁₃	1	2	yes	—
655	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
656	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
657	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
658	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
659	#436	C₂²×C₁₃	1	1	yes	characteristic
660	#436	C₂²×C₁₃	1	1	yes	characteristic
661	#435	C₂²×C₁₃	1	2	yes	—
662	#435	C₂²×C₁₃	1	2	yes	—
663	#432	C₂²×C₁₃	1	2	yes	—
664	#431	C₂²×C₁₃	1	1	yes	characteristic
665	#423	C₂²×C₁₃	1	2	yes	—
666	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
667	#417	C₂²×C₁₃	1	2	yes	—
668	#417	C₂²×C₁₃	1	2	yes	—
669	#416	C₂²×C₁₃	1	2	yes	—
670	C₂²×C₁₃	—	2	1	no	—
671	C₂²×C₁₃	—	2	2	no	—
672	C₂²×C₁₃	—	2	2	no	—
673	C₂²×C₁₃	—	2	1	no	—
674	C₂²×C₁₃	—	2	1	no	—
675	C₂²×C₁₃	—	2	2	no	—
676	C₂²×C₁₃	—	4	1	no	—
677	C₂²×C₁₃	—	4	2	no	—
678	C₂²×C₁₃	—	4	1	no	—
679	C₂²×C₁₃	—	4	1	no	—
680	C₂²×C₁₃	—	4	2	no	—
681	C₂²×C₁₃	—	4	1	no	—
682	C₂²×C₁₃	—	4	2	no	—
683	C₂²×C₁₃	—	4	1	no	—
684	C₂²×C₁₃	—	4	1	no	—
685	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
686	C₄×C₁₃	—	2	1	no	—
687	C₄×C₁₃	—	2	2	no	—
688	C₄×C₁₃	—	2	1	no	—
689	C₄×C₁₃	—	2	1	no	—
690	C₄×C₁₃	—	2	2	no	—
691	C₄×C₁₃	—	2	2	no	—
692	C₄×C₁₃	—	2	1	no	—
693	C₄×C₁₃	—	2	2	no	—
694	C₄×C₁₃	—	4	1	no	—
695	C₄×C₁₃	—	4	1	no	—
696	C₄×C₁₃	—	4	2	no	—
697	C₄×C₁₃	—	4	2	no	—
698	C₄×C₁₃	—	4	1	no	—
699	C₄×C₁₃	—	4	1	no	—
700	C₄×C₁₃	—	4	1	no	—
701	C₄×C₁₃	—	4	2	no	—
702	C₄×C₁₃	#575	1	2	yes	—
703	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
704	C₄×C₁₃	#585	1	1	yes	characteristic
705	C₂×#41	—	2	1	no	—
706	C₂×#41	—	2	1	no	—
707	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
708	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×#41	C₂³×C₁₃	1	2	yes	—
710	C₂×#41	C₂³×C₁₃	1	2	yes	—
711	C₂×#41	C₂³×C₁₃	1	2	yes	—
712	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
713	#137	—	4	4	no	—
714	#137	—	4	4	no	—
715	#135	—	4	4	no	—
716	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
717	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
718	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
719	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
720	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
721	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
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×SD₁₆	C₂³×C₁₃	1	2	yes	—
726	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
727	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
728	C₂×D₈	C₂³×C₁₃	1	2	yes	—
729	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
730	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
731	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
732	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
733	C₄⋊Q₈	—	2	1	no	—
734	C₄⋊Q₈	—	2	1	no	—
735	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
736	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
737	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
738	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
739	#127	—	2	1	no	—
740	#127	—	2	2	no	—
741	#127	C₂³×C₁₃	1	1	yes	characteristic
742	#127	C₂³×C₁₃	1	2	yes	—
743	#126	—	2	2	no	—
744	#126	—	2	2	no	—
745	#126	—	2	2	no	—
746	#126	—	2	1	no	—
747	#126	—	2	2	no	—
748	#125	—	2	2	no	—
749	#125	—	2	2	no	—
750	#125	—	2	1	no	—
751	#125	—	2	2	no	—
752	#125	—	2	1	no	—
753	#125	C₂³×C₁₃	1	1	yes	characteristic
754	#125	C₂³×C₁₃	1	2	yes	—
755	#124	—	2	2	no	—
756	#124	C₂³×C₁₃	1	1	yes	characteristic
757	#124	C₂³×C₁₃	1	2	yes	—
758	#124	C₂³×C₁₃	1	2	yes	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	1	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	1	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	2	no	—
772	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
773	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
775	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
776	#121	—	2	2	no	—
777	#121	—	2	1	no	—
778	#121	—	2	2	no	—
779	#121	—	2	2	no	—
780	#121	—	2	1	no	—
781	#121	—	2	1	no	—
782	#121	—	2	2	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	C₂³×C₁₃	1	2	yes	—
789	#121	C₂³×C₁₃	1	2	yes	—
790	#121	C₂³×C₁₃	1	1	yes	characteristic
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	1	no	—
793	C₄×Q₈	—	2	2	no	—
794	C₄×Q₈	—	2	2	no	—
795	C₄×Q₈	—	2	1	no	—
796	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
798	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
799	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
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×Q₈	C₂³×C₁₃	1	1	yes	characteristic
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	2	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	2	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	2	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	2	no	—
818	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
819	C₄×D₄	D₄×C₁₃	1	2	yes	—
820	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
821	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
822	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
823	C₄×D₄	C₂³×C₁₃	1	2	yes	—
824	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
825	C₄×D₄	C₂³×C₁₃	1	2	yes	—
826	#117	—	2	1	no	—
827	#117	—	2	1	no	—
828	#117	—	2	2	no	—
829	#117	—	2	1	no	—
830	#117	—	2	1	no	—
831	#117	—	2	2	no	—
832	#117	—	2	2	no	—
833	#117	D₄×C₁₃	1	2	yes	—
834	#117	D₄×C₁₃	1	1	yes	characteristic
835	#117	C₂³×C₁₃	1	1	yes	characteristic
836	C₂×C₄⋊C₄	—	2	2	no	—
837	C₂×C₄⋊C₄	—	2	2	no	—
838	C₂×C₄⋊C₄	—	2	1	no	—
839	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
840	C₂×C₄²	—	2	2	no	—
841	C₂×C₄²	—	2	1	no	—
842	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
843	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
844	#107	C₂³×C₁₃	1	1	yes	characteristic
845	#107	C₂³×C₁₃	1	1	yes	characteristic
846	#107	C₂³×C₁₃	1	2	yes	—
847	#106	C₂³×C₁₃	1	1	yes	characteristic
848	#106	C₂³×C₁₃	1	1	yes	characteristic
849	#106	C₂³×C₁₃	1	2	yes	—
850	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
851	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
853	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
854	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
855	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
856	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
857	#103	C₂³×C₁₃	1	2	yes	—
858	#103	C₂³×C₁₃	1	2	yes	—
859	#103	C₂³×C₁₃	1	1	yes	characteristic
860	#103	C₂³×C₁₃	1	2	yes	—
861	#103	C₂³×C₁₃	1	2	yes	—
862	#103	C₂³×C₁₃	1	1	yes	characteristic
863	#103	C₂³×C₁₃	1	1	yes	characteristic
864	#103	C₂³×C₁₃	1	1	yes	characteristic
865	#103	C₂³×C₁₃	1	2	yes	—
866	#103	C₂³×C₁₃	1	2	yes	—
867	#103	C₂³×C₁₃	1	2	yes	—
868	#102	C₂³×C₁₃	1	2	yes	—
869	#102	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	1	yes	characteristic
871	#102	C₂³×C₁₃	1	2	yes	—
872	#102	C₂³×C₁₃	1	2	yes	—
873	#102	C₂³×C₁₃	1	1	yes	characteristic
874	#102	C₂³×C₁₃	1	1	yes	characteristic
875	#102	C₂³×C₁₃	1	1	yes	characteristic
876	#102	C₂³×C₁₃	1	2	yes	—
877	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
878	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
879	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
880	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
881	#97	C₂³×C₁₃	1	2	yes	—
882	#97	C₂³×C₁₃	1	2	yes	—
883	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
884	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
885	C₂×C₁₃	—	4	2	no	—
886	C₂×C₁₃	—	4	1	no	—
887	C₂×C₁₃	—	8	1	no	—
888	C₂×C₁₃	—	8	2	no	—
889	C₂×C₁₃	—	8	1	no	—
890	C₂×C₁₃	#3488	1	1	yes	characteristic
891	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
892	C₂×C₁₃	#3586	1	1	yes	characteristic
893	#41	—	2	2	no	—
894	#41	—	4	2	no	—
895	#41	—	4	1	no	—
896	#41	—	4	2	no	—
897	#41	—	4	2	no	—
898	#41	—	4	2	no	—
899	#41	—	4	2	no	—
900	#41	—	4	2	no	—
901	#41	—	4	2	no	—
902	#41	—	4	4	no	—
903	#41	—	4	4	no	—
904	C₂×Q₈	—	2	2	no	—
905	C₂×Q₈	—	2	1	no	—
906	C₂×Q₈	—	2	4	no	—
907	C₂×Q₈	—	4	2	no	—
908	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
909	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
910	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
911	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
912	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
913	C₂×D₄	—	2	1	no	—
914	C₂×D₄	—	2	2	no	—
915	C₂×D₄	—	2	1	no	—
916	C₂×D₄	—	2	2	no	—
917	C₂×D₄	—	2	2	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	1	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	1	no	—
924	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
925	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
926	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
927	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
928	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	2	no	—
931	C₂²×C₄	—	2	1	no	—
932	C₂²×C₄	—	2	1	no	—
933	C₂²×C₄	—	2	1	no	—
934	C₂²×C₄	—	2	2	no	—
935	C₂²×C₄	—	2	1	no	—
936	C₂²×C₄	—	2	2	no	—
937	C₂²×C₄	—	2	2	no	—
938	C₂²×C₄	—	2	2	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
943	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
944	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
945	Q₁₆	—	2	4	no	—
946	Q₁₆	—	2	2	no	—
947	Q₁₆	—	4	2	no	—
948	Q₁₆	—	4	2	no	—
949	Q₁₆	—	4	2	no	—
950	SD₁₆	—	2	4	no	—
951	SD₁₆	—	2	2	no	—
952	SD₁₆	—	4	2	no	—
953	SD₁₆	—	4	2	no	—
954	SD₁₆	—	4	2	no	—
955	SD₁₆	—	4	2	no	—
956	SD₁₆	—	4	1	no	—
957	D₈	—	4	2	no	—
958	D₈	—	4	1	no	—
959	M₁₆	—	4	2	no	—
960	M₁₆	—	4	2	no	—
961	C₂×C₈	—	4	2	no	—
962	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
965	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
967	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	1	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	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	1	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
992	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
993	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
994	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
995	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
996	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
997	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1000	C₂²⋊C₄	—	2	2	no	—
1001	C₂²⋊C₄	—	2	2	no	—
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	1	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	1	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	2	no	—
1016	C₂²⋊C₄	—	2	2	no	—
1017	C₂²⋊C₄	—	2	1	no	—
1018	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1019	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1020	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1021	C₄²	—	2	1	no	—
1022	C₄²	—	2	1	no	—
1023	C₄²	—	2	2	no	—
1024	C₄²	—	2	2	no	—
1025	C₄²	—	2	1	no	—
1026	C₄²	—	2	2	no	—
1027	C₄²	—	2	2	no	—
1028	C₄²	—	2	1	no	—
1029	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1030	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1031	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1032	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1033	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1034	C₄²	C₂⁴×C₁₃	1	2	yes	—
1035	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1036	C₁₃	#61976	1	1	yes	characteristic, direct product factor, Sylow
1037	C₂³	—	2	1	no	—
1038	C₂³	—	2	2	no	—
1039	C₂³	—	2	1	no	—
1040	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1041	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1042	Q₈	—	2	2	no	—
1043	Q₈	—	2	1	no	—
1044	Q₈	—	2	2	no	—
1045	Q₈	—	2	2	no	—
1046	Q₈	—	2	1	no	—
1047	Q₈	—	2	2	no	—
1048	Q₈	—	2	1	no	—
1049	Q₈	—	2	2	no	—
1050	Q₈	—	4	4	no	—
1051	Q₈	—	4	2	no	—
1052	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1053	D₄	—	2	2	no	—
1054	D₄	—	2	1	no	—
1055	D₄	—	2	2	no	—
1056	D₄	—	2	1	no	—
1057	D₄	—	2	1	no	—
1058	D₄	—	2	1	no	—
1059	D₄	—	2	2	no	—
1060	D₄	—	4	2	no	—
1061	D₄	—	4	2	no	—
1062	D₄	—	4	4	no	—
1063	D₄	—	4	4	no	—
1064	D₄	—	4	2	no	—
1065	D₄	—	8	2	no	—
1066	D₄	—	8	1	no	—
1067	D₄	—	8	1	no	—
1068	D₄	—	8	2	no	—
1069	D₄	—	8	2	no	—
1070	D₄	—	8	2	no	—
1071	D₄	—	8	2	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	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	—	2	1	no	—
1085	C₂×C₄	—	2	1	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	4	no	—
1091	C₂×C₄	—	4	2	no	—
1092	C₂×C₄	—	4	4	no	—
1093	C₂×C₄	—	4	4	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	—	4	2	no	—
1096	C₂×C₄	—	8	2	no	—
1097	C₂×C₄	—	8	2	no	—
1098	C₂×C₄	—	8	2	no	—
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	1	yes	characteristic
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	2	yes	—
1105	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1106	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1107	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1108	C₈	—	2	2	no	—
1109	C₈	—	2	2	no	—
1110	C₈	—	2	1	no	—
1111	C₈	—	2	1	no	—
1112	C₈	—	2	1	no	—
1113	C₈	—	2	1	no	—
1114	C₂²	—	2	1	no	—
1115	C₂²	—	2	2	no	—
1116	C₂²	—	2	1	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	2	2	no	—
1119	C₂²	—	2	1	no	—
1120	C₂²	—	4	2	no	—
1121	C₂²	—	4	1	no	—
1122	C₂²	—	4	1	no	—
1123	C₂²	—	4	1	no	—
1124	C₂²	—	4	2	no	—
1125	C₂²	—	4	1	no	—
1126	C₂²	—	4	1	no	—
1127	C₂²	—	4	2	no	—
1128	C₂²	—	4	1	no	—
1129	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1130	C₄	—	2	1	no	—
1131	C₄	—	2	2	no	—
1132	C₄	—	2	1	no	—
1133	C₄	—	2	2	no	—
1134	C₄	—	2	1	no	—
1135	C₄	—	2	1	no	—
1136	C₄	—	2	2	no	—
1137	C₄	—	2	2	no	—
1138	C₄	—	4	1	no	—
1139	C₄	—	4	1	no	—
1140	C₄	—	4	2	no	—
1141	C₄	—	4	1	no	—
1142	C₄	—	4	1	no	—
1143	C₄	—	4	2	no	—
1144	C₄	—	4	2	no	—
1145	C₄	—	4	1	no	—
1146	C₄	C₁₃×#575	1	2	yes	—
1147	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1148	C₄	C₁₃×#585	1	1	yes	characteristic
1149	C₂	—	4	1	no	—
1150	C₂	—	4	2	no	—
1151	C₂	—	8	1	no	—
1152	C₂	—	8	2	no	—
1153	C₂	—	8	1	no	—
1154	C₂	C₁₃×#3488	1	1	yes	characteristic
1155	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1156	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×#3517	C₂	semidirect
2. C₁₃×#3482	C₂	semidirect
3. C₁₃×#3398	C₂	semidirect
4. C₁₃×#3397	C₂	semidirect
5. C₁₃×#3374	C₂	semidirect
6. C₁₃×#3368	C₂	semidirect
7. C₁₃×#3332	C₂	semidirect
8. C₁₃×#3330	C₂	semidirect
9. C₁₃×#3317	C₂	semidirect
10. C₁₃×#3315	C₂	semidirect
11. C₁₃×#3278	C₂	semidirect
12. C₁₃×#3276	C₂	semidirect
13. C₁₃×#3271	C₂	semidirect
14. C₁₃×#3269	C₂	semidirect
15. C₁₃×#3256	C₂	semidirect
16. C₁₃×#3248	C₂	semidirect
17. C₁₃×#3219	C₂	semidirect
18. C₁₃×#3210	C₂	semidirect
19. C₁₃×#3117	C₂	semidirect
20. C₁₃×#3102	C₂	semidirect
21. C₁₃×#3037	C₂	semidirect
22. C₁₃×#3035	C₂	semidirect
23. C₁₃×#2989	C₂	semidirect
315. #61976	C₁₃	direct (N × H)
459. #3517	C₂×C₁₃	semidirect
460. #3482	C₂×C₁₃	semidirect
461. #3398	C₂×C₁₃	semidirect
462. #3397	C₂×C₁₃	semidirect
463. #3374	C₂×C₁₃	semidirect
464. #3368	C₂×C₁₃	semidirect
465. #3332	C₂×C₁₃	semidirect
466. #3330	C₂×C₁₃	semidirect
467. #3317	C₂×C₁₃	semidirect
468. #3315	C₂×C₁₃	semidirect
469. #3278	C₂×C₁₃	semidirect
470. #3276	C₂×C₁₃	semidirect
471. #3271	C₂×C₁₃	semidirect
472. #3269	C₂×C₁₃	semidirect
473. #3256	C₂×C₁₃	semidirect
474. #3248	C₂×C₁₃	semidirect
475. #3219	C₂×C₁₃	semidirect
476. #3210	C₂×C₁₃	semidirect
477. #3117	C₂×C₁₃	semidirect
478. #3102	C₂×C₁₃	semidirect
479. #3037	C₂×C₁₃	semidirect
480. #3035	C₂×C₁₃	semidirect
481. #2989	C₂×C₁₃	semidirect
1036. C₁₃	#61976	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×#3517	2
C₁₃×#3482	2
C₁₃×#3398	2
C₁₃×#3397	2
C₁₃×#3374	2
C₁₃×#3368	2
C₁₃×#3332	2
C₁₃×#3330	2
C₁₃×#3317	2
C₁₃×#3315	2
C₁₃×#3278	2
C₁₃×#3276	2
C₁₃×#3271	2
C₁₃×#3269	2
C₁₃×#3256	2
C₁₃×#3248	2
C₁₃×#3219	2
C₁₃×#3210	2
C₁₃×#3117	2
C₁₃×#3102	2
C₁₃×#3037	2
C₁₃×#3035	2
C₁₃×#2989	2
#61976	13

Subgroups — C13×#61976 #15748315

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61976 #15748315