Subgroups — C₁₃×#61294 #15747633

Order 3328.

1802 conjugacy classes of subgroups.

The subgroup lattice has 1138 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×#3511	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3350	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3349	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3348	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3347	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3346	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3345	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3344	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3343	C₂	1	2	yes	maximal, complemented
11	C₂×C₁₃×#501	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3099	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3099	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3098	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3098	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3080	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3079	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3061	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3060	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2943	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2932	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2913	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2912	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
27	C₁₃×#556	C₂²	1	2	yes	—
28	C₁₃×#555	C₂²	1	2	yes	—
29	C₁₃×#554	C₂²	1	2	yes	—
30	C₁₃×#553	—	2	2	no	—
31	C₁₃×#553	—	2	2	no	—
32	C₁₃×#553	—	2	2	no	—
33	C₁₃×#553	C₂²	1	2	yes	—
34	C₁₃×#553	C₂²	1	2	yes	—
35	C₁₃×#552	C₂²	1	2	yes	—
36	C₁₃×#552	C₂²	1	2	yes	—
37	C₁₃×#548	—	2	2	no	—
38	C₁₃×#547	C₂²	1	2	yes	—
39	C₁₃×#542	—	2	1	no	—
40	C₁₃×#542	—	2	1	no	—
41	C₁₃×#541	—	2	1	no	—
42	C₁₃×#540	—	2	1	no	—
43	C₁₃×#537	C₂²	1	1	yes	characteristic
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×#533	—	2	1	no	—
48	C₁₃×#532	—	2	1	no	—
49	C₁₃×#532	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
51	C₁₃×#529	—	2	1	no	—
52	C₁₃×#529	—	2	1	no	—
53	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
54	C₁₃×#520	C₂²	1	1	yes	characteristic
55	C₁₃×#520	C₂²	1	1	yes	characteristic
56	C₁₃×#520	C₂²	1	1	yes	characteristic
57	C₁₃×#520	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
59	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
60	C₁₃×#501	C₂²	1	2	yes	—
61	C₁₃×#501	C₂²	1	2	yes	—
62	C₁₃×#501	C₂²	1	2	yes	—
63	C₁₃×#501	C₂²	1	2	yes	—
64	C₁₃×#485	C₂²	1	2	yes	—
65	C₁₃×#485	C₂²	1	2	yes	—
66	C₁₃×#485	C₂²	1	2	yes	—
67	C₁₃×#485	C₂²	1	2	yes	—
68	C₁₃×#484	C₂²	1	2	yes	—
69	C₁₃×#484	C₂²	1	2	yes	—
70	C₁₃×#483	C₂²	1	2	yes	—
71	C₁₃×#483	C₂²	1	2	yes	—
72	C₁₃×#482	C₂²	1	2	yes	—
73	C₁₃×#482	C₂²	1	2	yes	—
74	C₁₃×#482	C₂²	1	2	yes	—
75	C₁₃×#482	C₂²	1	2	yes	—
76	C₁₃×#481	C₂²	1	2	yes	—
77	C₁₃×#481	C₂²	1	2	yes	—
78	C₁₃×#480	C₂²	1	2	yes	—
79	C₁₃×#480	C₂²	1	2	yes	—
80	C₁₃×#479	C₂²	1	2	yes	—
81	C₁₃×#479	C₂²	1	2	yes	—
82	C₁₃×#478	C₂²	1	2	yes	—
83	C₁₃×#478	C₂²	1	2	yes	—
84	C₁₃×#477	C₂²	1	2	yes	—
85	C₁₃×#476	C₂²	1	2	yes	—
86	C₁₃×#475	C₂²	1	2	yes	—
87	C₁₃×#474	C₂²	1	2	yes	—
88	C₁₃×#470	C₂²	1	2	yes	—
89	C₁₃×#469	C₂²	1	2	yes	—
90	C₁₃×#468	C₂²	1	2	yes	—
91	C₁₃×#468	C₂²	1	2	yes	—
92	C₁₃×#467	C₂²	1	2	yes	—
93	C₁₃×#466	C₂²	1	2	yes	—
94	C₁₃×#465	C₂²	1	2	yes	—
95	C₁₃×#465	C₂²	1	2	yes	—
96	C₁₃×#442	C₂²	1	1	yes	characteristic
97	C₁₃×#442	C₂²	1	1	yes	characteristic
98	C₁₃×#441	C₂²	1	1	yes	characteristic
99	C₁₃×#441	C₂²	1	1	yes	characteristic
100	C₁₃×#440	C₂²	1	1	yes	characteristic
101	C₁₃×#440	C₂²	1	1	yes	characteristic
102	C₁₃×#440	C₂²	1	1	yes	characteristic
103	C₁₃×#440	C₂²	1	1	yes	characteristic
104	C₁₃×#435	C₂²	1	2	yes	—
105	C₁₃×#435	C₂²	1	2	yes	—
106	C₁₃×#435	C₂²	1	2	yes	—
107	C₁₃×#435	C₂²	1	2	yes	—
108	C₁₃×#428	C₂²	1	1	yes	characteristic
109	C₁₃×#428	C₂²	1	1	yes	characteristic
110	C₁₃×#428	C₂²	1	1	yes	characteristic
111	C₁₃×#428	C₂²	1	1	yes	characteristic
112	C₁₃×#428	C₂²	1	2	yes	—
113	C₁₃×#428	C₂²	1	2	yes	—
114	C₁₃×#428	C₂²	1	2	yes	—
115	C₁₃×#428	C₂²	1	2	yes	—
116	C₁₃×#427	C₂²	1	2	yes	—
117	C₁₃×#427	C₂²	1	2	yes	—
118	C₁₃×#427	C₂²	1	1	yes	characteristic
119	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
120	C₂×C₁₃×#107	C₂²	1	2	yes	—
121	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
122	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
123	C₂×C₁₃×#106	C₂²	1	2	yes	—
124	C₂×C₁₃×#106	C₂²	1	1	yes	characteristic
125	C₁₃×#423	C₂²	1	1	yes	characteristic
126	C₁₃×#417	C₂²	1	1	yes	characteristic
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×#416	C₂²	1	1	yes	characteristic
131	C₁₃×#416	C₂²	1	1	yes	characteristic
132	C₁₃×#408	C₂²	1	1	yes	characteristic
133	C₁₃×#408	C₂²	1	1	yes	characteristic
134	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	2	no	—
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	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
140	C₂²×Q₈×C₁₃	—	2	1	no	—
141	C₁₃×#135	—	2	4	no	—
142	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
146	C₁₃×#131	—	2	4	no	—
147	C₁₃×#131	—	2	4	no	—
148	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
152	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
153	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
154	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
155	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	—	2	1	no	—
158	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
160	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
161	C₁₃×#127	D₄	1	1	yes	characteristic
162	C₁₃×#126	—	2	2	no	—
163	C₁₃×#126	—	2	2	no	—
164	C₁₃×#126	—	2	2	no	—
165	C₁₃×#126	—	2	2	no	—
166	C₁₃×#126	—	2	2	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#125	—	2	2	no	—
169	C₁₃×#125	—	2	2	no	—
170	C₁₃×#125	—	2	2	no	—
171	C₁₃×#125	—	2	1	no	—
172	C₁₃×#125	—	2	1	no	—
173	C₁₃×#125	C₂³	1	2	yes	—
174	C₁₃×#125	C₂³	1	2	yes	—
175	C₁₃×#124	—	2	2	no	—
176	C₁₃×#124	—	2	2	no	—
177	C₁₃×#124	—	2	2	no	—
178	C₁₃×#124	D₄	1	1	yes	characteristic
179	C₁₃×#124	D₄	1	1	yes	characteristic
180	C₁₃×#123	—	2	2	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	2	no	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×C₂²⋊Q₈	—	2	1	no	—
187	C₁₃×C₂²⋊Q₈	—	2	1	no	—
188	C₁₃×C₂²⋊Q₈	—	2	1	no	—
189	C₁₃×C₂²⋊Q₈	—	2	1	no	—
190	C₁₃×C₂²⋊Q₈	—	2	2	no	—
191	C₁₃×C₂²⋊Q₈	—	2	2	no	—
192	C₁₃×C₂²⋊Q₈	—	2	2	no	—
193	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
194	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
195	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
196	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
197	C₁₃×#121	—	2	1	no	—
198	C₁₃×#121	—	2	1	no	—
199	C₁₃×#121	—	2	1	no	—
200	C₁₃×#121	—	2	1	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	—	2	2	no	—
206	C₁₃×#121	—	2	2	no	—
207	C₁₃×#121	—	2	2	no	—
208	C₁₃×#121	D₄	1	2	yes	—
209	C₁₃×#121	D₄	1	2	yes	—
210	C₁₃×#121	C₂³	1	2	yes	—
211	C₁₃×#121	C₂³	1	2	yes	—
212	C₁₃×#121	C₂³	1	2	yes	—
213	C₁₃×#121	C₂³	1	2	yes	—
214	C₄×Q₈×C₁₃	—	2	1	no	—
215	C₄×Q₈×C₁₃	—	2	1	no	—
216	C₄×Q₈×C₁₃	—	2	1	no	—
217	C₄×Q₈×C₁₃	—	2	1	no	—
218	C₄×Q₈×C₁₃	—	2	2	no	—
219	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₄×D₄×C₁₃	—	2	1	no	—
224	C₄×D₄×C₁₃	—	2	1	no	—
225	C₄×D₄×C₁₃	—	2	1	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	2	no	—
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	—	2	2	no	—
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	1	no	—
234	C₄×D₄×C₁₃	—	2	1	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
240	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
242	C₄×D₄×C₁₃	C₂³	1	2	yes	—
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₁₃×#117	—	2	2	no	—
245	C₁₃×#117	—	2	2	no	—
246	C₁₃×#117	—	2	2	no	—
247	C₁₃×#117	—	2	1	no	—
248	C₁₃×#117	—	2	1	no	—
249	C₁₃×#117	C₂³	1	1	yes	characteristic
250	C₁₃×#117	C₂³	1	1	yes	characteristic
251	C₁₃×#117	C₂³	1	2	yes	—
252	C₁₃×#117	C₂³	1	2	yes	—
253	C₁₃×#117	C₂³	1	2	yes	—
254	C₁₃×#117	C₂³	1	2	yes	—
255	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
256	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
257	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
266	C₂×C₄²×C₁₃	—	2	1	no	—
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
269	C₁₃×#107	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	2	yes	—
271	C₁₃×#107	C₂³	1	2	yes	—
272	C₁₃×#107	C₂³	1	2	yes	—
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	1	yes	characteristic
277	C₁₃×#107	C₂³	1	2	yes	—
278	C₁₃×#107	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	1	yes	characteristic
280	C₁₃×#106	C₂³	1	2	yes	—
281	C₁₃×#106	C₂³	1	2	yes	—
282	C₁₃×#106	C₂³	1	2	yes	—
283	C₁₃×#106	C₂³	1	2	yes	—
284	C₁₃×#106	C₂³	1	2	yes	—
285	C₁₃×#106	C₂³	1	2	yes	—
286	C₁₃×#106	C₂³	1	1	yes	characteristic
287	C₁₃×#106	C₂³	1	2	yes	—
288	C₁₃×#106	C₂³	1	2	yes	—
289	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
290	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
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	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×#103	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	1	yes	characteristic
302	C₁₃×#102	C₂³	1	1	yes	characteristic
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
308	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×#97	C₂³	1	1	yes	characteristic
312	C₁₃×#97	C₂³	1	1	yes	characteristic
313	C₁₃×#97	C₂³	1	1	yes	characteristic
314	C₁₃×#97	C₂³	1	1	yes	characteristic
315	#61294	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	2	2	no	—
318	C₁₃×#41	—	2	2	no	—
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	—	8	4	no	—
325	C₂×Q₈×C₁₃	—	2	2	no	—
326	C₂×Q₈×C₁₃	—	2	2	no	—
327	C₂×Q₈×C₁₃	—	8	2	no	—
328	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
329	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
330	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	1	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	2	no	—
338	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
339	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
341	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
342	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
343	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
344	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
345	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃	—	2	1	no	—
347	C₂²×C₄×C₁₃	—	2	1	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	1	no	—
350	C₂²×C₄×C₁₃	—	2	2	no	—
351	C₂²×C₄×C₁₃	—	2	2	no	—
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	1	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	1	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	C₂⁴	1	2	yes	—
363	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
364	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₁₃×Q₁₆	—	2	2	no	—
366	C₁₃×SD₁₆	—	2	2	no	—
367	C₁₃×SD₁₆	—	2	2	no	—
368	C₁₃×D₈	—	2	2	no	—
369	C₁₃×M₁₆	—	2	2	no	—
370	C₁₃×M₁₆	—	2	2	no	—
371	C₁₃×M₁₆	—	2	4	no	—
372	C₁₃×M₁₆	—	2	4	no	—
373	C₂×C₈×C₁₃	—	2	2	no	—
374	C₂×C₈×C₁₃	—	2	4	no	—
375	C₂×C₈×C₁₃	—	2	4	no	—
376	C₂×C₈×C₁₃	#41	1	4	yes	complemented
377	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
380	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
381	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	2	no	—
385	C₁₃×C₄⋊C₄	—	2	2	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	2	2	no	—
388	C₁₃×C₄⋊C₄	—	2	2	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	1	no	—
393	C₁₃×C₄⋊C₄	—	2	2	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	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	1	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
414	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
415	C₁₃×C₂²⋊C₄	—	2	2	no	—
416	C₁₃×C₂²⋊C₄	—	2	2	no	—
417	C₁₃×C₂²⋊C₄	—	2	1	no	—
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	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	1	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	2	no	—
433	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
434	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
435	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
436	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
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	1	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	#3512	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
453	#3350	C₂×C₁₃	1	2	yes	complemented
454	#3349	C₂×C₁₃	1	2	yes	complemented
455	#3348	C₂×C₁₃	1	2	yes	complemented
456	#3347	C₂×C₁₃	1	2	yes	complemented
457	#3346	C₂×C₁₃	1	2	yes	complemented
458	#3345	C₂×C₁₃	1	2	yes	complemented
459	#3344	C₂×C₁₃	1	2	yes	complemented
460	#3343	C₂×C₁₃	1	2	yes	complemented
461	C₂×#501	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3099	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3099	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3098	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3098	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3080	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3079	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3061	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3060	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#2943	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#2932	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#2913	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#2912	C₂×C₁₃	1	1	yes	characteristic, complemented
474	C₂³×C₁₃	—	2	1	no	—
475	C₂³×C₁₃	—	2	1	no	—
476	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
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	2	no	—
481	Q₈×C₁₃	—	2	1	no	—
482	Q₈×C₁₃	—	2	1	no	—
483	Q₈×C₁₃	—	2	1	no	—
484	Q₈×C₁₃	—	2	1	no	—
485	Q₈×C₁₃	—	4	4	no	—
486	Q₈×C₁₃	—	8	2	no	—
487	D₄×C₁₃	—	2	4	no	—
488	D₄×C₁₃	—	2	4	no	—
489	D₄×C₁₃	—	2	2	no	—
490	D₄×C₁₃	—	2	2	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	1	no	—
493	D₄×C₁₃	—	2	1	no	—
494	D₄×C₁₃	—	2	1	no	—
495	D₄×C₁₃	—	4	2	no	—
496	D₄×C₁₃	—	4	2	no	—
497	D₄×C₁₃	—	4	2	no	—
498	D₄×C₁₃	—	4	2	no	—
499	D₄×C₁₃	—	8	2	no	—
500	D₄×C₁₃	—	8	2	no	—
501	D₄×C₁₃	—	8	2	no	—
502	D₄×C₁₃	—	8	2	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	2	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	2	1	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	2	2	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	4	1	no	—
518	C₂×C₄×C₁₃	—	4	1	no	—
519	C₂×C₄×C₁₃	—	4	2	no	—
520	C₂×C₄×C₁₃	—	4	2	no	—
521	C₂×C₄×C₁₃	—	4	2	no	—
522	C₂×C₄×C₁₃	—	4	2	no	—
523	C₂×C₄×C₁₃	—	8	1	no	—
524	C₂×C₄×C₁₃	—	8	1	no	—
525	C₂×C₄×C₁₃	—	8	2	no	—
526	C₂×C₄×C₁₃	—	8	1	no	—
527	C₂×C₄×C₁₃	—	8	2	no	—
528	C₂×C₄×C₁₃	—	8	1	no	—
529	C₂×C₄×C₁₃	—	8	1	no	—
530	C₂×C₄×C₁₃	—	8	1	no	—
531	C₂×C₄×C₁₃	—	8	2	no	—
532	C₂×C₄×C₁₃	—	8	2	no	—
533	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
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	1	yes	characteristic
538	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
540	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
541	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
542	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
543	C₈×C₁₃	—	2	2	no	—
544	C₈×C₁₃	—	2	2	no	—
545	C₈×C₁₃	—	2	1	no	—
546	C₈×C₁₃	—	2	1	no	—
547	C₈×C₁₃	C₂×#41	1	2	yes	—
548	C₈×C₁₃	C₂×#41	1	2	yes	—
549	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
550	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
551	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
552	#556	C₂²×C₁₃	1	2	yes	—
553	#555	C₂²×C₁₃	1	2	yes	—
554	#554	C₂²×C₁₃	1	2	yes	—
555	#553	—	2	2	no	—
556	#553	—	2	2	no	—
557	#553	—	2	2	no	—
558	#553	C₂²×C₁₃	1	2	yes	—
559	#553	C₂²×C₁₃	1	2	yes	—
560	#552	C₂²×C₁₃	1	2	yes	—
561	#552	C₂²×C₁₃	1	2	yes	—
562	#548	—	2	2	no	—
563	#547	C₂²×C₁₃	1	2	yes	—
564	#542	—	2	1	no	—
565	#542	—	2	1	no	—
566	#541	—	2	1	no	—
567	#540	—	2	1	no	—
568	#537	C₂²×C₁₃	1	1	yes	characteristic
569	#537	C₂²×C₁₃	1	1	yes	characteristic
570	#537	C₂²×C₁₃	1	1	yes	characteristic
571	#537	C₂²×C₁₃	1	1	yes	characteristic
572	#533	—	2	1	no	—
573	#532	—	2	1	no	—
574	#532	C₂²×C₁₃	1	1	yes	characteristic
575	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
576	#529	—	2	1	no	—
577	#529	—	2	1	no	—
578	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
579	#520	C₂²×C₁₃	1	1	yes	characteristic
580	#520	C₂²×C₁₃	1	1	yes	characteristic
581	#520	C₂²×C₁₃	1	1	yes	characteristic
582	#520	C₂²×C₁₃	1	1	yes	characteristic
583	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
584	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
585	#501	C₂²×C₁₃	1	2	yes	—
586	#501	C₂²×C₁₃	1	2	yes	—
587	#501	C₂²×C₁₃	1	2	yes	—
588	#501	C₂²×C₁₃	1	2	yes	—
589	#485	C₂²×C₁₃	1	2	yes	—
590	#485	C₂²×C₁₃	1	2	yes	—
591	#485	C₂²×C₁₃	1	2	yes	—
592	#485	C₂²×C₁₃	1	2	yes	—
593	#484	C₂²×C₁₃	1	2	yes	—
594	#484	C₂²×C₁₃	1	2	yes	—
595	#483	C₂²×C₁₃	1	2	yes	—
596	#483	C₂²×C₁₃	1	2	yes	—
597	#482	C₂²×C₁₃	1	2	yes	—
598	#482	C₂²×C₁₃	1	2	yes	—
599	#482	C₂²×C₁₃	1	2	yes	—
600	#482	C₂²×C₁₃	1	2	yes	—
601	#481	C₂²×C₁₃	1	2	yes	—
602	#481	C₂²×C₁₃	1	2	yes	—
603	#480	C₂²×C₁₃	1	2	yes	—
604	#480	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	#477	C₂²×C₁₃	1	2	yes	—
610	#476	C₂²×C₁₃	1	2	yes	—
611	#475	C₂²×C₁₃	1	2	yes	—
612	#474	C₂²×C₁₃	1	2	yes	—
613	#470	C₂²×C₁₃	1	2	yes	—
614	#469	C₂²×C₁₃	1	2	yes	—
615	#468	C₂²×C₁₃	1	2	yes	—
616	#468	C₂²×C₁₃	1	2	yes	—
617	#467	C₂²×C₁₃	1	2	yes	—
618	#466	C₂²×C₁₃	1	2	yes	—
619	#465	C₂²×C₁₃	1	2	yes	—
620	#465	C₂²×C₁₃	1	2	yes	—
621	#442	C₂²×C₁₃	1	1	yes	characteristic
622	#442	C₂²×C₁₃	1	1	yes	characteristic
623	#441	C₂²×C₁₃	1	1	yes	characteristic
624	#441	C₂²×C₁₃	1	1	yes	characteristic
625	#440	C₂²×C₁₃	1	1	yes	characteristic
626	#440	C₂²×C₁₃	1	1	yes	characteristic
627	#440	C₂²×C₁₃	1	1	yes	characteristic
628	#440	C₂²×C₁₃	1	1	yes	characteristic
629	#435	C₂²×C₁₃	1	2	yes	—
630	#435	C₂²×C₁₃	1	2	yes	—
631	#435	C₂²×C₁₃	1	2	yes	—
632	#435	C₂²×C₁₃	1	2	yes	—
633	#428	C₂²×C₁₃	1	1	yes	characteristic
634	#428	C₂²×C₁₃	1	1	yes	characteristic
635	#428	C₂²×C₁₃	1	1	yes	characteristic
636	#428	C₂²×C₁₃	1	1	yes	characteristic
637	#428	C₂²×C₁₃	1	2	yes	—
638	#428	C₂²×C₁₃	1	2	yes	—
639	#428	C₂²×C₁₃	1	2	yes	—
640	#428	C₂²×C₁₃	1	2	yes	—
641	#427	C₂²×C₁₃	1	2	yes	—
642	#427	C₂²×C₁₃	1	2	yes	—
643	#427	C₂²×C₁₃	1	1	yes	characteristic
644	C₂×#107	C₂²×C₁₃	1	2	yes	—
645	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
646	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
647	C₂×#106	C₂²×C₁₃	1	2	yes	—
648	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
649	C₂×#106	C₂²×C₁₃	1	1	yes	characteristic
650	#423	C₂²×C₁₃	1	1	yes	characteristic
651	#417	C₂²×C₁₃	1	1	yes	characteristic
652	#417	C₂²×C₁₃	1	1	yes	characteristic
653	#417	C₂²×C₁₃	1	1	yes	characteristic
654	#417	C₂²×C₁₃	1	1	yes	characteristic
655	#416	C₂²×C₁₃	1	1	yes	characteristic
656	#416	C₂²×C₁₃	1	1	yes	characteristic
657	#408	C₂²×C₁₃	1	1	yes	characteristic
658	#408	C₂²×C₁₃	1	1	yes	characteristic
659	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
660	C₂²×C₁₃	—	2	1	no	—
661	C₂²×C₁₃	—	2	1	no	—
662	C₂²×C₁₃	—	2	2	no	—
663	C₂²×C₁₃	—	2	2	no	—
664	C₂²×C₁₃	—	2	2	no	—
665	C₂²×C₁₃	—	2	2	no	—
666	C₂²×C₁₃	—	2	2	no	—
667	C₂²×C₁₃	—	2	2	no	—
668	C₂²×C₁₃	—	4	1	no	—
669	C₂²×C₁₃	—	4	1	no	—
670	C₂²×C₁₃	—	4	1	no	—
671	C₂²×C₁₃	—	4	1	no	—
672	C₂²×C₁₃	—	4	1	no	—
673	C₂²×C₁₃	—	4	1	no	—
674	C₂²×C₁₃	#547	1	2	yes	—
675	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
676	C₄×C₁₃	—	2	1	no	—
677	C₄×C₁₃	—	2	1	no	—
678	C₄×C₁₃	—	2	1	no	—
679	C₄×C₁₃	—	2	1	no	—
680	C₄×C₁₃	—	2	2	no	—
681	C₄×C₁₃	—	2	2	no	—
682	C₄×C₁₃	—	4	1	no	—
683	C₄×C₁₃	—	4	1	no	—
684	C₄×C₁₃	—	4	2	no	—
685	C₄×C₁₃	—	4	2	no	—
686	C₄×C₁₃	—	4	2	no	—
687	C₄×C₁₃	—	4	1	no	—
688	C₄×C₁₃	—	4	1	no	—
689	C₄×C₁₃	—	4	2	no	—
690	C₄×C₁₃	—	4	1	no	—
691	C₄×C₁₃	—	4	1	no	—
692	C₄×C₁₃	#547	1	2	yes	—
693	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
694	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
695	C₂×#41	—	2	2	no	—
696	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
697	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
698	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
699	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
700	C₂²×Q₈	—	2	1	no	—
701	#135	—	2	4	no	—
702	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
703	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
704	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
706	#131	—	2	4	no	—
707	#131	—	2	4	no	—
708	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
711	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
712	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
713	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
714	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
715	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
716	C₄⋊Q₈	—	2	1	no	—
717	C₄⋊Q₈	—	2	1	no	—
718	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
719	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
720	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
721	#127	D₄×C₁₃	1	1	yes	characteristic
722	#126	—	2	2	no	—
723	#126	—	2	2	no	—
724	#126	—	2	2	no	—
725	#126	—	2	2	no	—
726	#126	—	2	2	no	—
727	#126	—	2	2	no	—
728	#125	—	2	2	no	—
729	#125	—	2	2	no	—
730	#125	—	2	2	no	—
731	#125	—	2	1	no	—
732	#125	—	2	1	no	—
733	#125	C₂³×C₁₃	1	2	yes	—
734	#125	C₂³×C₁₃	1	2	yes	—
735	#124	—	2	2	no	—
736	#124	—	2	2	no	—
737	#124	—	2	2	no	—
738	#124	D₄×C₁₃	1	1	yes	characteristic
739	#124	D₄×C₁₃	1	1	yes	characteristic
740	#123	—	2	2	no	—
741	#123	—	2	2	no	—
742	#123	—	2	2	no	—
743	#123	—	2	2	no	—
744	#123	—	2	2	no	—
745	#123	—	2	2	no	—
746	C₂²⋊Q₈	—	2	1	no	—
747	C₂²⋊Q₈	—	2	1	no	—
748	C₂²⋊Q₈	—	2	1	no	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
754	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
755	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
756	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
757	#121	—	2	1	no	—
758	#121	—	2	1	no	—
759	#121	—	2	1	no	—
760	#121	—	2	1	no	—
761	#121	—	2	2	no	—
762	#121	—	2	2	no	—
763	#121	—	2	2	no	—
764	#121	—	2	2	no	—
765	#121	—	2	2	no	—
766	#121	—	2	2	no	—
767	#121	—	2	2	no	—
768	#121	D₄×C₁₃	1	2	yes	—
769	#121	D₄×C₁₃	1	2	yes	—
770	#121	C₂³×C₁₃	1	2	yes	—
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	1	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	—	2	2	no	—
779	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
780	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
781	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
782	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	1	no	—
785	C₄×D₄	—	2	1	no	—
786	C₄×D₄	—	2	1	no	—
787	C₄×D₄	—	2	2	no	—
788	C₄×D₄	—	2	2	no	—
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	2	no	—
791	C₄×D₄	—	2	2	no	—
792	C₄×D₄	—	2	1	no	—
793	C₄×D₄	—	2	1	no	—
794	C₄×D₄	—	2	1	no	—
795	C₄×D₄	—	2	1	no	—
796	C₄×D₄	—	2	2	no	—
797	C₄×D₄	—	2	2	no	—
798	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
799	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
800	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
801	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
802	C₄×D₄	C₂³×C₁₃	1	2	yes	—
803	C₄×D₄	C₂³×C₁₃	1	2	yes	—
804	#117	—	2	2	no	—
805	#117	—	2	2	no	—
806	#117	—	2	2	no	—
807	#117	—	2	1	no	—
808	#117	—	2	1	no	—
809	#117	C₂³×C₁₃	1	1	yes	characteristic
810	#117	C₂³×C₁₃	1	1	yes	characteristic
811	#117	C₂³×C₁₃	1	2	yes	—
812	#117	C₂³×C₁₃	1	2	yes	—
813	#117	C₂³×C₁₃	1	2	yes	—
814	#117	C₂³×C₁₃	1	2	yes	—
815	C₂×C₄⋊C₄	—	2	1	no	—
816	C₂×C₄⋊C₄	—	2	1	no	—
817	C₂×C₄⋊C₄	—	2	1	no	—
818	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
819	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
820	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
821	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
822	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
823	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
824	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
825	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
826	C₂×C₄²	—	2	1	no	—
827	C₂×C₄²	—	2	1	no	—
828	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
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	#107	C₂³×C₁₃	1	2	yes	—
835	#107	C₂³×C₁₃	1	2	yes	—
836	#107	C₂³×C₁₃	1	1	yes	characteristic
837	#107	C₂³×C₁₃	1	2	yes	—
838	#107	C₂³×C₁₃	1	2	yes	—
839	#106	C₂³×C₁₃	1	1	yes	characteristic
840	#106	C₂³×C₁₃	1	2	yes	—
841	#106	C₂³×C₁₃	1	2	yes	—
842	#106	C₂³×C₁₃	1	2	yes	—
843	#106	C₂³×C₁₃	1	2	yes	—
844	#106	C₂³×C₁₃	1	2	yes	—
845	#106	C₂³×C₁₃	1	2	yes	—
846	#106	C₂³×C₁₃	1	1	yes	characteristic
847	#106	C₂³×C₁₃	1	2	yes	—
848	#106	C₂³×C₁₃	1	2	yes	—
849	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
850	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
851	#103	C₂³×C₁₃	1	1	yes	characteristic
852	#103	C₂³×C₁₃	1	1	yes	characteristic
853	#103	C₂³×C₁₃	1	1	yes	characteristic
854	#103	C₂³×C₁₃	1	1	yes	characteristic
855	#103	C₂³×C₁₃	1	2	yes	—
856	#103	C₂³×C₁₃	1	2	yes	—
857	#103	C₂³×C₁₃	1	2	yes	—
858	#103	C₂³×C₁₃	1	2	yes	—
859	#102	C₂³×C₁₃	1	1	yes	characteristic
860	#102	C₂³×C₁₃	1	1	yes	characteristic
861	#102	C₂³×C₁₃	1	1	yes	characteristic
862	#102	C₂³×C₁₃	1	1	yes	characteristic
863	#102	C₂³×C₁₃	1	2	yes	—
864	#102	C₂³×C₁₃	1	2	yes	—
865	#102	C₂³×C₁₃	1	2	yes	—
866	#102	C₂³×C₁₃	1	2	yes	—
867	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
868	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
869	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
870	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
871	#97	C₂³×C₁₃	1	1	yes	characteristic
872	#97	C₂³×C₁₃	1	1	yes	characteristic
873	#97	C₂³×C₁₃	1	1	yes	characteristic
874	#97	C₂³×C₁₃	1	1	yes	characteristic
875	C₂×C₁₃	—	2	2	no	—
876	C₂×C₁₃	—	4	2	no	—
877	C₂×C₁₃	—	4	2	no	—
878	C₂×C₁₃	—	8	1	no	—
879	C₂×C₁₃	—	8	1	no	—
880	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
881	C₂×C₁₃	#3585	1	1	yes	characteristic
882	C₂×C₁₃	#3586	1	1	yes	characteristic
883	#41	—	2	2	no	—
884	#41	—	2	2	no	—
885	#41	—	2	2	no	—
886	#41	—	2	2	no	—
887	#41	—	2	2	no	—
888	#41	—	2	2	no	—
889	#41	—	2	2	no	—
890	#41	—	2	2	no	—
891	#41	—	8	4	no	—
892	C₂×Q₈	—	2	2	no	—
893	C₂×Q₈	—	2	2	no	—
894	C₂×Q₈	—	8	2	no	—
895	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
896	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
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	1	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	2	2	no	—
904	C₂×D₄	—	2	2	no	—
905	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
906	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
907	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
908	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
909	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
910	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
911	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
912	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	2	1	no	—
927	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
928	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
929	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
930	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
931	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
932	Q₁₆	—	2	2	no	—
933	SD₁₆	—	2	2	no	—
934	SD₁₆	—	2	2	no	—
935	D₈	—	2	2	no	—
936	M₁₆	—	2	2	no	—
937	M₁₆	—	2	2	no	—
938	M₁₆	—	2	4	no	—
939	M₁₆	—	2	4	no	—
940	C₂×C₈	—	2	2	no	—
941	C₂×C₈	—	2	4	no	—
942	C₂×C₈	—	2	4	no	—
943	C₂×C₈	C₁₃×#41	1	4	yes	complemented
944	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
946	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
947	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
948	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
949	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
973	C₄⋊C₄	C₂×D₄×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	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
978	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
979	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
980	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
981	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
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	1	no	—
993	C₂²⋊C₄	—	2	1	no	—
994	C₂²⋊C₄	—	2	1	no	—
995	C₂²⋊C₄	—	2	1	no	—
996	C₂²⋊C₄	—	2	2	no	—
997	C₂²⋊C₄	—	2	2	no	—
998	C₂²⋊C₄	—	2	2	no	—
999	C₂²⋊C₄	—	2	2	no	—
1000	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1001	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1002	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1003	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	1	no	—
1009	C₄²	—	2	1	no	—
1010	C₄²	—	2	2	no	—
1011	C₄²	—	2	2	no	—
1012	C₄²	—	2	2	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1015	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1016	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1017	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1018	C₁₃	#61294	1	1	yes	characteristic, direct product factor, Sylow
1019	C₂³	—	2	1	no	—
1020	C₂³	—	2	1	no	—
1021	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1022	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1023	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1024	Q₈	—	2	2	no	—
1025	Q₈	—	2	2	no	—
1026	Q₈	—	2	1	no	—
1027	Q₈	—	2	1	no	—
1028	Q₈	—	2	1	no	—
1029	Q₈	—	2	1	no	—
1030	Q₈	—	4	4	no	—
1031	Q₈	—	8	2	no	—
1032	D₄	—	2	4	no	—
1033	D₄	—	2	4	no	—
1034	D₄	—	2	2	no	—
1035	D₄	—	2	2	no	—
1036	D₄	—	2	1	no	—
1037	D₄	—	2	1	no	—
1038	D₄	—	2	1	no	—
1039	D₄	—	2	1	no	—
1040	D₄	—	4	2	no	—
1041	D₄	—	4	2	no	—
1042	D₄	—	4	2	no	—
1043	D₄	—	4	2	no	—
1044	D₄	—	8	2	no	—
1045	D₄	—	8	2	no	—
1046	D₄	—	8	2	no	—
1047	D₄	—	8	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	2	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	1	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	4	1	no	—
1063	C₂×C₄	—	4	1	no	—
1064	C₂×C₄	—	4	2	no	—
1065	C₂×C₄	—	4	2	no	—
1066	C₂×C₄	—	4	2	no	—
1067	C₂×C₄	—	4	2	no	—
1068	C₂×C₄	—	8	1	no	—
1069	C₂×C₄	—	8	1	no	—
1070	C₂×C₄	—	8	2	no	—
1071	C₂×C₄	—	8	1	no	—
1072	C₂×C₄	—	8	2	no	—
1073	C₂×C₄	—	8	1	no	—
1074	C₂×C₄	—	8	1	no	—
1075	C₂×C₄	—	8	1	no	—
1076	C₂×C₄	—	8	2	no	—
1077	C₂×C₄	—	8	2	no	—
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	C₂²×D₄×C₁₃	1	1	yes	characteristic
1083	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1084	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1085	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1086	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1087	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1088	C₈	—	2	2	no	—
1089	C₈	—	2	2	no	—
1090	C₈	—	2	1	no	—
1091	C₈	—	2	1	no	—
1092	C₈	C₂×C₁₃×#41	1	2	yes	—
1093	C₈	C₂×C₁₃×#41	1	2	yes	—
1094	C₂²	—	2	1	no	—
1095	C₂²	—	2	1	no	—
1096	C₂²	—	2	2	no	—
1097	C₂²	—	2	2	no	—
1098	C₂²	—	2	2	no	—
1099	C₂²	—	2	2	no	—
1100	C₂²	—	2	2	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	4	1	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	1	no	—
1105	C₂²	—	4	1	no	—
1106	C₂²	—	4	1	no	—
1107	C₂²	—	4	1	no	—
1108	C₂²	C₁₃×#547	1	2	yes	—
1109	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1110	C₄	—	2	1	no	—
1111	C₄	—	2	1	no	—
1112	C₄	—	2	1	no	—
1113	C₄	—	2	1	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	2	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	2	no	—
1119	C₄	—	4	2	no	—
1120	C₄	—	4	2	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	1	no	—
1123	C₄	—	4	2	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	4	1	no	—
1126	C₄	C₁₃×#547	1	2	yes	—
1127	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1128	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1129	C₂	—	2	2	no	—
1130	C₂	—	4	2	no	—
1131	C₂	—	4	2	no	—
1132	C₂	—	8	1	no	—
1133	C₂	—	8	1	no	—
1134	C₂	C₂×C₁₃×#547	1	1	yes	characteristic
1135	C₂	C₁₃×#3585	1	1	yes	characteristic
1136	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 ◁ C₁₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3512	C₂	semidirect
2. C₁₃×#3511	C₂	semidirect
3. C₁₃×#3350	C₂	semidirect
4. C₁₃×#3349	C₂	semidirect
5. C₁₃×#3348	C₂	semidirect
6. C₁₃×#3347	C₂	semidirect
7. C₁₃×#3346	C₂	semidirect
8. C₁₃×#3345	C₂	semidirect
9. C₁₃×#3344	C₂	semidirect
10. C₁₃×#3343	C₂	semidirect
11. C₂×C₁₃×#501	C₂	semidirect
12. C₁₃×#3099	C₂	semidirect
13. C₁₃×#3099	C₂	semidirect
14. C₁₃×#3098	C₂	semidirect
15. C₁₃×#3098	C₂	semidirect
16. C₁₃×#3080	C₂	semidirect
17. C₁₃×#3079	C₂	semidirect
18. C₁₃×#3061	C₂	semidirect
19. C₁₃×#3060	C₂	semidirect
20. C₁₃×#2943	C₂	semidirect
21. C₁₃×#2932	C₂	semidirect
22. C₁₃×#2913	C₂	semidirect
23. C₁₃×#2912	C₂	semidirect
315. #61294	C₁₃	direct (N × H)
376. C₂×C₈×C₁₃	#41	semidirect
451. #3512	C₂×C₁₃	semidirect
452. #3511	C₂×C₁₃	semidirect
453. #3350	C₂×C₁₃	semidirect
454. #3349	C₂×C₁₃	semidirect
455. #3348	C₂×C₁₃	semidirect
456. #3347	C₂×C₁₃	semidirect
457. #3346	C₂×C₁₃	semidirect
458. #3345	C₂×C₁₃	semidirect
459. #3344	C₂×C₁₃	semidirect
460. #3343	C₂×C₁₃	semidirect
461. C₂×#501	C₂×C₁₃	semidirect
462. #3099	C₂×C₁₃	semidirect
463. #3099	C₂×C₁₃	semidirect
464. #3098	C₂×C₁₃	semidirect
465. #3098	C₂×C₁₃	semidirect
466. #3080	C₂×C₁₃	semidirect
467. #3079	C₂×C₁₃	semidirect
468. #3061	C₂×C₁₃	semidirect
469. #3060	C₂×C₁₃	semidirect
470. #2943	C₂×C₁₃	semidirect
471. #2932	C₂×C₁₃	semidirect
472. #2913	C₂×C₁₃	semidirect
473. #2912	C₂×C₁₃	semidirect
943. C₂×C₈	C₁₃×#41	semidirect
1018. C₁₃	#61294	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×#3511	2
C₁₃×#3350	2
C₁₃×#3349	2
C₁₃×#3348	2
C₁₃×#3347	2
C₁₃×#3346	2
C₁₃×#3345	2
C₁₃×#3344	2
C₁₃×#3343	2
C₂×C₁₃×#501	2
C₁₃×#3099	2
C₁₃×#3098	2
C₁₃×#3080	2
C₁₃×#3079	2
C₁₃×#3061	2
C₁₃×#3060	2
C₁₃×#2943	2
C₁₃×#2932	2
C₁₃×#2913	2
C₁₃×#2912	2
#61294	13

Subgroups — C13×#61294 #15747633

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61294 #15747633