Subgroups — C₁₃×#61447 #15747786

Order 3328.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1126 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3482	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×#3386	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3374	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3353	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3349	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3330	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3328	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3313	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3276	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3269	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3172	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3170	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3104	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3102	C₂	1	2	yes	maximal, complemented
21	C₁₃×#2965	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₃×#137	C₂	1	2	yes	maximal, complemented
23	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	2	yes	—
25	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
26	C₁₃×#557	C₂²	1	1	yes	characteristic
27	C₁₃×#557	C₂²	1	1	yes	characteristic
28	C₁₃×#556	—	2	1	no	—
29	C₁₃×#556	C₂²	1	1	yes	characteristic
30	C₁₃×#556	C₂²	1	2	yes	—
31	C₁₃×#556	C₂²	1	1	yes	characteristic
32	C₁₃×#552	—	2	2	no	—
33	C₁₃×#552	—	2	2	no	—
34	C₁₃×#552	—	2	1	no	—
35	C₁₃×#552	C₂²	1	2	yes	—
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
37	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
38	C₁₃×#548	—	2	1	no	—
39	C₁₃×#548	C₂²	1	2	yes	—
40	C₁₃×#547	—	2	1	no	—
41	C₁₃×#547	C₂²	1	2	yes	—
42	C₁₃×#547	C₂²	1	1	yes	characteristic
43	C₁₃×#547	C₂²	1	1	yes	characteristic
44	C₁₃×#533	—	2	1	no	—
45	C₁₃×#533	C₂²	1	2	yes	—
46	C₁₃×#533	C₂²	1	1	yes	characteristic
47	C₁₃×#533	C₂²	1	1	yes	characteristic
48	C₁₃×#529	—	2	2	no	—
49	C₁₃×#529	—	2	1	no	—
50	C₁₃×#529	—	2	2	no	—
51	C₁₃×#529	C₂²	1	2	yes	—
52	C₄×C₁₃×#41	—	2	1	no	—
53	C₄×C₁₃×#41	C₂²	1	2	yes	—
54	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
55	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
56	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
57	C₂×C₄×Q₈×C₁₃	—	2	1	no	—
58	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
59	C₁₃×#501	C₂²	1	2	yes	—
60	C₁₃×#500	C₂²	1	1	yes	characteristic
61	C₁₃×#497	C₂²	1	2	yes	—
62	C₁₃×#494	C₂²	1	1	yes	characteristic
63	C₁₃×#491	C₂²	1	2	yes	—
64	C₁₃×#489	C₂²	1	2	yes	—
65	C₁₃×#487	C₂²	1	1	yes	characteristic
66	C₁₃×#487	C₂²	1	1	yes	characteristic
67	C₁₃×#485	C₂²	1	2	yes	—
68	C₁₃×#485	C₂²	1	2	yes	—
69	C₁₃×#485	C₂²	1	2	yes	—
70	C₁₃×#484	C₂²	1	2	yes	—
71	C₁₃×#484	C₂²	1	2	yes	—
72	C₁₃×#482	C₂²	1	2	yes	—
73	C₁₃×#479	C₂²	1	2	yes	—
74	C₁₃×#478	C₂²	1	2	yes	—
75	C₁₃×#477	C₂²	1	2	yes	—
76	C₁₃×#477	C₂²	1	2	yes	—
77	C₁₃×#475	C₂²	1	1	yes	characteristic
78	C₁₃×#475	C₂²	1	1	yes	characteristic
79	C₁₃×#474	C₂²	1	1	yes	characteristic
80	C₁₃×#474	C₂²	1	1	yes	characteristic
81	C₁₃×#470	C₂²	1	2	yes	—
82	C₁₃×#470	C₂²	1	2	yes	—
83	C₁₃×#468	C₂²	1	2	yes	—
84	C₁₃×#468	C₂²	1	2	yes	—
85	C₁₃×#467	C₂²	1	2	yes	—
86	C₁₃×#467	C₂²	1	2	yes	—
87	C₁₃×#464	C₂²	1	2	yes	—
88	C₁₃×#463	C₂²	1	2	yes	—
89	C₁₃×#462	C₂²	1	2	yes	—
90	C₁₃×#462	C₂²	1	1	yes	characteristic
91	C₁₃×#462	C₂²	1	2	yes	—
92	C₁₃×#462	C₂²	1	1	yes	characteristic
93	C₁₃×#461	C₂²	1	1	yes	characteristic
94	C₁₃×#461	C₂²	1	1	yes	characteristic
95	C₁₃×#452	C₂²	1	2	yes	—
96	C₁₃×#452	C₂²	1	2	yes	—
97	C₁₃×#452	C₂²	1	2	yes	—
98	C₁₃×#451	C₂²	1	2	yes	—
99	C₁₃×#451	C₂²	1	2	yes	—
100	C₁₃×#449	C₂²	1	2	yes	—
101	C₁₃×#446	C₂²	1	1	yes	characteristic
102	C₁₃×#446	C₂²	1	1	yes	characteristic
103	C₁₃×#441	C₂²	1	2	yes	—
104	C₁₃×#441	C₂²	1	2	yes	—
105	C₁₃×#440	C₂²	1	2	yes	—
106	C₁₃×#440	C₂²	1	2	yes	—
107	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
108	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
109	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
110	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
111	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
112	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
113	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
114	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
115	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
116	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
117	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
118	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
121	C₁₃×#436	C₂²	1	1	yes	characteristic
122	C₁₃×#436	C₂²	1	1	yes	characteristic
123	C₁₃×#435	C₂²	1	2	yes	—
124	C₁₃×#435	C₂²	1	2	yes	—
125	C₁₃×#431	C₂²	1	2	yes	—
126	C₁₃×#431	C₂²	1	1	yes	characteristic
127	C₁₃×#428	C₂²	1	2	yes	—
128	C₁₃×#427	C₂²	1	1	yes	characteristic
129	C₁₃×#419	C₂²	1	2	yes	—
130	C₁₃×#417	C₂²	1	2	yes	—
131	C₁₃×#416	C₂²	1	1	yes	characteristic
132	C₁₃×#416	C₂²	1	1	yes	characteristic
133	C₄×C₁₃×M₁₆	C₂²	1	2	yes	—
134	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	D₄	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	2	yes	—
140	C₂²×Q₈×C₁₃	—	2	1	no	—
141	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
142	C₁₃×#137	—	2	8	no	—
143	C₁₃×#135	—	2	4	no	—
144	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
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×D₈	C₂³	1	1	yes	characteristic
154	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
155	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
156	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
157	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
158	C₁₃×C₄⋊Q₈	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	—	2	1	no	—
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×#126	—	2	2	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	2	no	—
169	C₁₃×#126	—	2	2	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#125	—	2	1	no	—
173	C₁₃×#125	—	2	2	no	—
174	C₁₃×#125	—	2	2	no	—
175	C₁₃×#125	—	2	2	no	—
176	C₁₃×#125	—	2	1	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	C₂³	1	2	yes	—
180	C₁₃×#124	—	2	1	no	—
181	C₁₃×#124	—	2	2	no	—
182	C₁₃×#124	—	2	2	no	—
183	C₁₃×#124	C₂³	1	2	yes	—
184	C₁₃×#123	—	2	2	no	—
185	C₁₃×#123	—	2	2	no	—
186	C₁₃×#123	—	2	2	no	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×C₂²⋊Q₈	—	2	1	no	—
191	C₁₃×C₂²⋊Q₈	—	2	1	no	—
192	C₁₃×C₂²⋊Q₈	—	2	1	no	—
193	C₁₃×C₂²⋊Q₈	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	—	2	1	no	—
195	C₁₃×C₂²⋊Q₈	—	2	2	no	—
196	C₁₃×C₂²⋊Q₈	—	2	1	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	—	2	2	no	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
202	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
203	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	—	2	1	no	—
206	C₁₃×#121	—	2	2	no	—
207	C₁₃×#121	C₂³	1	2	yes	—
208	C₄×Q₈×C₁₃	—	2	1	no	—
209	C₄×Q₈×C₁₃	—	2	2	no	—
210	C₄×Q₈×C₁₃	—	2	1	no	—
211	C₄×Q₈×C₁₃	—	2	1	no	—
212	C₄×Q₈×C₁₃	—	2	1	no	—
213	C₄×Q₈×C₁₃	—	2	2	no	—
214	C₄×Q₈×C₁₃	—	2	2	no	—
215	C₄×Q₈×C₁₃	—	2	2	no	—
216	C₄×Q₈×C₁₃	—	2	1	no	—
217	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
218	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
219	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
220	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
225	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
226	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
227	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₄×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	—	2	1	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	2	no	—
236	C₄×D₄×C₁₃	—	2	2	no	—
237	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
238	C₄×D₄×C₁₃	D₄	1	2	yes	—
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	1	yes	characteristic
243	C₄×D₄×C₁₃	C₂³	1	2	yes	—
244	C₄×D₄×C₁₃	C₂³	1	2	yes	—
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₁₃×#117	—	2	2	no	—
247	C₁₃×#117	—	2	1	no	—
248	C₁₃×#117	—	2	1	no	—
249	C₁₃×#117	—	2	1	no	—
250	C₁₃×#117	—	2	2	no	—
251	C₁₃×#117	—	2	1	no	—
252	C₁₃×#117	—	2	1	no	—
253	C₁₃×#117	—	2	2	no	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	D₄	1	2	yes	—
256	C₁₃×#117	D₄	1	1	yes	characteristic
257	C₁₃×#117	C₂³	1	1	yes	characteristic
258	C₁₃×#117	C₂³	1	1	yes	characteristic
259	C₁₃×#117	C₂³	1	2	yes	—
260	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
261	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
262	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₄²×C₁₃	—	2	2	no	—
265	C₂×C₄²×C₁₃	—	2	1	no	—
266	C₂×C₄²×C₁₃	—	2	2	no	—
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	1	yes	characteristic
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×#106	C₂³	1	1	yes	characteristic
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
281	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
282	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
283	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	2	yes	—
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	1	yes	characteristic
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	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	2	yes	—
314	#61447	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₁₃×#41	—	2	2	no	—
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	2	4	no	—
318	C₁₃×#41	—	4	2	no	—
319	C₁₃×#41	—	4	1	no	—
320	C₁₃×#41	—	4	1	no	—
321	C₁₃×#41	—	4	2	no	—
322	C₁₃×#41	—	4	4	no	—
323	C₂×Q₈×C₁₃	—	2	2	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	1	no	—
326	C₂×Q₈×C₁₃	—	2	1	no	—
327	C₂×Q₈×C₁₃	—	2	4	no	—
328	C₂×Q₈×C₁₃	—	4	2	no	—
329	C₂×Q₈×C₁₃	—	4	4	no	—
330	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
340	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
341	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
342	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₁₃	—	2	2	no	—
344	C₂²×C₄×C₁₃	—	2	2	no	—
345	C₂²×C₄×C₁₃	—	2	1	no	—
346	C₂²×C₄×C₁₃	—	2	2	no	—
347	C₂²×C₄×C₁₃	—	2	2	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
354	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
355	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
357	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
358	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₁₃×Q₁₆	—	2	2	no	—
360	C₁₃×Q₁₆	—	2	4	no	—
361	C₁₃×Q₁₆	—	2	4	no	—
362	C₁₃×Q₁₆	—	4	2	no	—
363	C₁₃×Q₁₆	—	4	2	no	—
364	C₁₃×SD₁₆	—	2	4	no	—
365	C₁₃×SD₁₆	—	2	2	no	—
366	C₁₃×SD₁₆	—	4	2	no	—
367	C₁₃×SD₁₆	#41	1	4	yes	complemented
368	C₁₃×D₈	—	2	2	no	—
369	C₁₃×M₁₆	—	2	4	no	—
370	C₁₃×M₁₆	—	4	2	no	—
371	C₂×C₈×C₁₃	—	2	2	no	—
372	C₂×C₈×C₁₃	—	4	1	no	—
373	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
377	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
378	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₁₃×C₄⋊C₄	—	2	1	no	—
380	C₁₃×C₄⋊C₄	—	2	2	no	—
381	C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	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	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	1	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	1	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	2	no	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
412	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	no	—
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	2	no	—
423	C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₁₃×C₂²⋊C₄	—	2	2	no	—
425	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
432	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
433	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
434	C₄²×C₁₃	—	2	1	no	—
435	C₄²×C₁₃	—	2	2	no	—
436	C₄²×C₁₃	—	2	1	no	—
437	C₄²×C₁₃	—	2	2	no	—
438	C₄²×C₁₃	—	2	1	no	—
439	C₄²×C₁₃	—	2	2	no	—
440	C₄²×C₁₃	—	2	2	no	—
441	C₄²×C₁₃	—	2	1	no	—
442	C₄²×C₁₃	—	2	1	no	—
443	C₄²×C₁₃	—	2	2	no	—
444	C₄²×C₁₃	—	2	1	no	—
445	C₄²×C₁₃	—	2	2	no	—
446	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
447	C₄²×C₁₃	C₂×D₄	1	2	yes	—
448	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
449	C₄²×C₁₃	C₂×D₄	1	2	yes	—
450	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₄²×C₁₃	C₂⁴	1	2	yes	—
452	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
453	#3482	C₂×C₁₃	1	1	yes	characteristic, complemented
454	#3482	C₂×C₁₃	1	1	yes	characteristic, complemented
455	#3398	C₂×C₁₃	1	1	yes	characteristic, complemented
456	#3386	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3374	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3353	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3349	C₂×C₁₃	1	2	yes	complemented
461	#3330	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3328	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3315	C₂×C₁₃	1	2	yes	complemented
464	#3313	C₂×C₁₃	1	2	yes	complemented
465	#3276	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3269	C₂×C₁₃	1	2	yes	complemented
467	#3172	C₂×C₁₃	1	2	yes	complemented
468	#3170	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3107	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3107	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3104	C₂×C₁₃	1	2	yes	complemented
472	#3102	C₂×C₁₃	1	2	yes	complemented
473	#2965	C₂×C₁₃	1	1	yes	characteristic, complemented
474	C₄×#137	C₂×C₁₃	1	2	yes	complemented
475	C₄×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
476	C₂³×C₁₃	—	2	1	no	—
477	C₂³×C₁₃	—	2	1	no	—
478	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
479	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
480	Q₈×C₁₃	—	2	2	no	—
481	Q₈×C₁₃	—	2	1	no	—
482	Q₈×C₁₃	—	2	2	no	—
483	Q₈×C₁₃	—	2	1	no	—
484	Q₈×C₁₃	—	2	2	no	—
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	2	no	—
487	Q₈×C₁₃	—	2	1	no	—
488	Q₈×C₁₃	—	4	4	no	—
489	Q₈×C₁₃	—	4	4	no	—
490	Q₈×C₁₃	—	4	2	no	—
491	Q₈×C₁₃	—	4	2	no	—
492	Q₈×C₁₃	C₂×#41	1	2	yes	—
493	D₄×C₁₃	—	2	2	no	—
494	D₄×C₁₃	—	2	1	no	—
495	D₄×C₁₃	—	2	1	no	—
496	D₄×C₁₃	—	2	1	no	—
497	D₄×C₁₃	—	4	2	no	—
498	D₄×C₁₃	—	4	2	no	—
499	D₄×C₁₃	—	4	4	no	—
500	D₄×C₁₃	—	4	2	no	—
501	D₄×C₁₃	—	4	4	no	—
502	D₄×C₁₃	C₂×#41	1	2	yes	—
503	C₂×C₄×C₁₃	—	2	1	no	—
504	C₂×C₄×C₁₃	—	2	2	no	—
505	C₂×C₄×C₁₃	—	2	4	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	2	1	no	—
508	C₂×C₄×C₁₃	—	2	2	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	2	no	—
511	C₂×C₄×C₁₃	—	2	1	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	1	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	2	2	no	—
516	C₂×C₄×C₁₃	—	2	1	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	4	2	no	—
521	C₂×C₄×C₁₃	—	4	2	no	—
522	C₂×C₄×C₁₃	—	4	4	no	—
523	C₂×C₄×C₁₃	—	4	2	no	—
524	C₂×C₄×C₁₃	—	4	4	no	—
525	C₂×C₄×C₁₃	—	4	4	no	—
526	C₂×C₄×C₁₃	—	4	4	no	—
527	C₂×C₄×C₁₃	—	4	2	no	—
528	C₂×C₄×C₁₃	—	4	2	no	—
529	C₂×C₄×C₁₃	—	4	2	no	—
530	C₂×C₄×C₁₃	—	4	2	no	—
531	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
532	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
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	C₂⁵	1	1	yes	characteristic
540	C₈×C₁₃	—	2	1	no	—
541	C₈×C₁₃	—	2	2	no	—
542	C₈×C₁₃	—	2	1	no	—
543	C₈×C₁₃	—	2	1	no	—
544	C₈×C₁₃	—	2	2	no	—
545	C₈×C₁₃	C₂×#41	1	2	yes	—
546	C₂×#137	C₂²×C₁₃	1	2	yes	—
547	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
548	#557	C₂²×C₁₃	1	1	yes	characteristic
549	#557	C₂²×C₁₃	1	1	yes	characteristic
550	#556	—	2	1	no	—
551	#556	C₂²×C₁₃	1	1	yes	characteristic
552	#556	C₂²×C₁₃	1	1	yes	characteristic
553	#556	C₂²×C₁₃	1	2	yes	—
554	#552	—	2	2	no	—
555	#552	—	2	2	no	—
556	#552	—	2	1	no	—
557	#552	C₂²×C₁₃	1	2	yes	—
558	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
559	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
560	#548	—	2	1	no	—
561	#548	C₂²×C₁₃	1	2	yes	—
562	#547	—	2	1	no	—
563	#547	C₂²×C₁₃	1	1	yes	characteristic
564	#547	C₂²×C₁₃	1	2	yes	—
565	#547	C₂²×C₁₃	1	1	yes	characteristic
566	#533	—	2	1	no	—
567	#533	C₂²×C₁₃	1	2	yes	—
568	#533	C₂²×C₁₃	1	1	yes	characteristic
569	#533	C₂²×C₁₃	1	1	yes	characteristic
570	#529	—	2	2	no	—
571	#529	—	2	1	no	—
572	#529	—	2	2	no	—
573	#529	C₂²×C₁₃	1	2	yes	—
574	C₄×#41	—	2	1	no	—
575	C₄×#41	C₂²×C₁₃	1	2	yes	—
576	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
577	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
578	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
579	C₂×C₄×Q₈	—	2	1	no	—
580	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
581	#501	C₂²×C₁₃	1	2	yes	—
582	#500	C₂²×C₁₃	1	1	yes	characteristic
583	#497	C₂²×C₁₃	1	2	yes	—
584	#494	C₂²×C₁₃	1	1	yes	characteristic
585	#491	C₂²×C₁₃	1	2	yes	—
586	#489	C₂²×C₁₃	1	2	yes	—
587	#487	C₂²×C₁₃	1	1	yes	characteristic
588	#487	C₂²×C₁₃	1	1	yes	characteristic
589	#485	C₂²×C₁₃	1	2	yes	—
590	#485	C₂²×C₁₃	1	2	yes	—
591	#485	C₂²×C₁₃	1	2	yes	—
592	#484	C₂²×C₁₃	1	2	yes	—
593	#484	C₂²×C₁₃	1	2	yes	—
594	#482	C₂²×C₁₃	1	2	yes	—
595	#479	C₂²×C₁₃	1	2	yes	—
596	#478	C₂²×C₁₃	1	2	yes	—
597	#477	C₂²×C₁₃	1	2	yes	—
598	#477	C₂²×C₁₃	1	2	yes	—
599	#475	C₂²×C₁₃	1	1	yes	characteristic
600	#475	C₂²×C₁₃	1	1	yes	characteristic
601	#474	C₂²×C₁₃	1	1	yes	characteristic
602	#474	C₂²×C₁₃	1	1	yes	characteristic
603	#470	C₂²×C₁₃	1	2	yes	—
604	#470	C₂²×C₁₃	1	2	yes	—
605	#468	C₂²×C₁₃	1	2	yes	—
606	#468	C₂²×C₁₃	1	2	yes	—
607	#467	C₂²×C₁₃	1	2	yes	—
608	#467	C₂²×C₁₃	1	2	yes	—
609	#464	C₂²×C₁₃	1	2	yes	—
610	#463	C₂²×C₁₃	1	2	yes	—
611	#462	C₂²×C₁₃	1	1	yes	characteristic
612	#462	C₂²×C₁₃	1	2	yes	—
613	#462	C₂²×C₁₃	1	2	yes	—
614	#462	C₂²×C₁₃	1	1	yes	characteristic
615	#461	C₂²×C₁₃	1	1	yes	characteristic
616	#461	C₂²×C₁₃	1	1	yes	characteristic
617	#452	C₂²×C₁₃	1	2	yes	—
618	#452	C₂²×C₁₃	1	2	yes	—
619	#452	C₂²×C₁₃	1	2	yes	—
620	#451	C₂²×C₁₃	1	2	yes	—
621	#451	C₂²×C₁₃	1	2	yes	—
622	#449	C₂²×C₁₃	1	2	yes	—
623	#446	C₂²×C₁₃	1	1	yes	characteristic
624	#446	C₂²×C₁₃	1	1	yes	characteristic
625	#441	C₂²×C₁₃	1	2	yes	—
626	#441	C₂²×C₁₃	1	2	yes	—
627	#440	C₂²×C₁₃	1	2	yes	—
628	#440	C₂²×C₁₃	1	2	yes	—
629	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
630	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
631	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
632	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
633	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
634	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
635	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
636	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
637	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
638	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
639	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
640	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
641	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
642	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
643	#436	C₂²×C₁₃	1	1	yes	characteristic
644	#436	C₂²×C₁₃	1	1	yes	characteristic
645	#435	C₂²×C₁₃	1	2	yes	—
646	#435	C₂²×C₁₃	1	2	yes	—
647	#431	C₂²×C₁₃	1	2	yes	—
648	#431	C₂²×C₁₃	1	1	yes	characteristic
649	#428	C₂²×C₁₃	1	2	yes	—
650	#427	C₂²×C₁₃	1	1	yes	characteristic
651	#419	C₂²×C₁₃	1	2	yes	—
652	#417	C₂²×C₁₃	1	2	yes	—
653	#416	C₂²×C₁₃	1	1	yes	characteristic
654	#416	C₂²×C₁₃	1	1	yes	characteristic
655	C₄×M₁₆	C₂²×C₁₃	1	2	yes	—
656	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic
657	C₂²×C₁₃	—	2	2	no	—
658	C₂²×C₁₃	—	2	1	no	—
659	C₂²×C₁₃	—	2	2	no	—
660	C₂²×C₁₃	—	2	1	no	—
661	C₂²×C₁₃	—	2	2	no	—
662	C₂²×C₁₃	—	2	1	no	—
663	C₂²×C₁₃	—	2	2	no	—
664	C₂²×C₁₃	—	4	1	no	—
665	C₂²×C₁₃	—	4	1	no	—
666	C₂²×C₁₃	—	4	1	no	—
667	C₂²×C₁₃	—	4	1	no	—
668	C₂²×C₁₃	—	4	1	no	—
669	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
670	C₄×C₁₃	—	2	1	no	—
671	C₄×C₁₃	—	2	2	no	—
672	C₄×C₁₃	—	2	2	no	—
673	C₄×C₁₃	—	2	1	no	—
674	C₄×C₁₃	—	2	2	no	—
675	C₄×C₁₃	—	2	2	no	—
676	C₄×C₁₃	—	2	1	no	—
677	C₄×C₁₃	—	4	1	no	—
678	C₄×C₁₃	—	4	2	no	—
679	C₄×C₁₃	—	4	2	no	—
680	C₄×C₁₃	—	4	1	no	—
681	C₄×C₁₃	—	4	2	no	—
682	C₄×C₁₃	—	4	2	no	—
683	C₄×C₁₃	—	4	1	no	—
684	C₄×C₁₃	—	4	1	no	—
685	C₄×C₁₃	—	4	1	no	—
686	C₄×C₁₃	#575	1	2	yes	—
687	C₄×C₁₃	#578	1	2	yes	—
688	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
689	C₄×C₁₃	#585	1	1	yes	characteristic
690	C₂×#41	—	2	1	no	—
691	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
692	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
693	C₂×#41	C₂³×C₁₃	1	2	yes	—
694	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
695	C₂²×Q₈	—	2	1	no	—
696	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
697	#137	—	2	8	no	—
698	#135	—	2	4	no	—
699	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
700	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
701	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
702	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
703	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
705	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
706	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
710	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
711	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
712	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	—	2	1	no	—
715	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
716	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
717	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
718	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
719	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
720	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
721	#126	—	2	2	no	—
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	#125	—	2	1	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	—	2	2	no	—
734	#125	C₂³×C₁₃	1	2	yes	—
735	#124	—	2	1	no	—
736	#124	—	2	2	no	—
737	#124	—	2	2	no	—
738	#124	C₂³×C₁₃	1	2	yes	—
739	#123	—	2	2	no	—
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	C₂²⋊Q₈	—	2	1	no	—
746	C₂²⋊Q₈	—	2	1	no	—
747	C₂²⋊Q₈	—	2	1	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	1	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
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	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
758	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
759	#121	—	2	2	no	—
760	#121	—	2	1	no	—
761	#121	—	2	2	no	—
762	#121	C₂³×C₁₃	1	2	yes	—
763	C₄×Q₈	—	2	1	no	—
764	C₄×Q₈	—	2	2	no	—
765	C₄×Q₈	—	2	1	no	—
766	C₄×Q₈	—	2	1	no	—
767	C₄×Q₈	—	2	1	no	—
768	C₄×Q₈	—	2	2	no	—
769	C₄×Q₈	—	2	2	no	—
770	C₄×Q₈	—	2	2	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
773	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
775	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
776	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
777	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
778	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
779	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
780	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
781	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
782	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	2	no	—
785	C₄×D₄	—	2	1	no	—
786	C₄×D₄	—	2	2	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	1	no	—
790	C₄×D₄	—	2	2	no	—
791	C₄×D₄	—	2	2	no	—
792	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
793	C₄×D₄	D₄×C₁₃	1	2	yes	—
794	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
795	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
796	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
797	C₄×D₄	C₂³×C₁₃	1	2	yes	—
798	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
799	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
800	C₄×D₄	C₂³×C₁₃	1	2	yes	—
801	#117	—	2	2	no	—
802	#117	—	2	1	no	—
803	#117	—	2	1	no	—
804	#117	—	2	1	no	—
805	#117	—	2	2	no	—
806	#117	—	2	1	no	—
807	#117	—	2	1	no	—
808	#117	—	2	2	no	—
809	#117	—	2	2	no	—
810	#117	D₄×C₁₃	1	2	yes	—
811	#117	D₄×C₁₃	1	1	yes	characteristic
812	#117	C₂³×C₁₃	1	1	yes	characteristic
813	#117	C₂³×C₁₃	1	1	yes	characteristic
814	#117	C₂³×C₁₃	1	2	yes	—
815	C₂×C₄⋊C₄	—	2	2	no	—
816	C₂×C₄⋊C₄	—	2	2	no	—
817	C₂×C₄⋊C₄	—	2	1	no	—
818	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
819	C₂×C₄²	—	2	2	no	—
820	C₂×C₄²	—	2	1	no	—
821	C₂×C₄²	—	2	2	no	—
822	C₂×C₄²	—	2	1	no	—
823	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
824	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
825	#107	C₂³×C₁₃	1	1	yes	characteristic
826	#107	C₂³×C₁₃	1	1	yes	characteristic
827	#107	C₂³×C₁₃	1	2	yes	—
828	#107	C₂³×C₁₃	1	2	yes	—
829	#107	C₂³×C₁₃	1	2	yes	—
830	#107	C₂³×C₁₃	1	2	yes	—
831	#106	C₂³×C₁₃	1	1	yes	characteristic
832	#106	C₂³×C₁₃	1	1	yes	characteristic
833	#106	C₂³×C₁₃	1	2	yes	—
834	#106	C₂³×C₁₃	1	2	yes	—
835	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
836	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
837	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
838	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
839	#103	C₂³×C₁₃	1	1	yes	characteristic
840	#103	C₂³×C₁₃	1	1	yes	characteristic
841	#103	C₂³×C₁₃	1	1	yes	characteristic
842	#103	C₂³×C₁₃	1	1	yes	characteristic
843	#103	C₂³×C₁₃	1	2	yes	—
844	#103	C₂³×C₁₃	1	2	yes	—
845	#103	C₂³×C₁₃	1	2	yes	—
846	#103	C₂³×C₁₃	1	2	yes	—
847	#103	C₂³×C₁₃	1	2	yes	—
848	#103	C₂³×C₁₃	1	2	yes	—
849	#103	C₂³×C₁₃	1	2	yes	—
850	#103	C₂³×C₁₃	1	2	yes	—
851	#103	C₂³×C₁₃	1	2	yes	—
852	#103	C₂³×C₁₃	1	2	yes	—
853	#102	C₂³×C₁₃	1	1	yes	characteristic
854	#102	C₂³×C₁₃	1	1	yes	characteristic
855	#102	C₂³×C₁₃	1	1	yes	characteristic
856	#102	C₂³×C₁₃	1	1	yes	characteristic
857	#102	C₂³×C₁₃	1	2	yes	—
858	#102	C₂³×C₁₃	1	2	yes	—
859	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
860	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
861	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
862	#97	C₂³×C₁₃	1	2	yes	—
863	#97	C₂³×C₁₃	1	2	yes	—
864	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
865	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
866	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
867	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
868	C₄×C₈	C₂³×C₁₃	1	2	yes	—
869	C₂×C₁₃	—	4	2	no	—
870	C₂×C₁₃	—	4	1	no	—
871	C₂×C₁₃	—	4	2	no	—
872	C₂×C₁₃	—	8	1	no	—
873	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
874	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
875	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
876	#41	—	2	2	no	—
877	#41	—	2	2	no	—
878	#41	—	2	4	no	—
879	#41	—	4	2	no	—
880	#41	—	4	1	no	—
881	#41	—	4	1	no	—
882	#41	—	4	2	no	—
883	#41	—	4	4	no	—
884	C₂×Q₈	—	2	2	no	—
885	C₂×Q₈	—	2	2	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	1	no	—
888	C₂×Q₈	—	2	4	no	—
889	C₂×Q₈	—	4	2	no	—
890	C₂×Q₈	—	4	4	no	—
891	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
892	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
893	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
894	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
895	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	1	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
901	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
902	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
903	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	1	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
915	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
916	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
917	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
918	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
919	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
920	Q₁₆	—	2	2	no	—
921	Q₁₆	—	2	4	no	—
922	Q₁₆	—	2	4	no	—
923	Q₁₆	—	4	2	no	—
924	Q₁₆	—	4	2	no	—
925	SD₁₆	—	2	4	no	—
926	SD₁₆	—	2	2	no	—
927	SD₁₆	—	4	2	no	—
928	SD₁₆	C₁₃×#41	1	4	yes	complemented
929	D₈	—	2	2	no	—
930	M₁₆	—	2	4	no	—
931	M₁₆	—	4	2	no	—
932	C₂×C₈	—	2	2	no	—
933	C₂×C₈	—	4	1	no	—
934	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
935	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
936	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
938	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
939	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
940	C₄⋊C₄	—	2	1	no	—
941	C₄⋊C₄	—	2	2	no	—
942	C₄⋊C₄	—	2	1	no	—
943	C₄⋊C₄	—	2	2	no	—
944	C₄⋊C₄	—	2	2	no	—
945	C₄⋊C₄	—	2	2	no	—
946	C₄⋊C₄	—	2	2	no	—
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	2	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	2	no	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	2	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	2	no	—
962	C₄⋊C₄	—	2	2	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
967	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
968	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
970	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
971	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
973	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
974	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
975	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	1	no	—
985	C₂²⋊C₄	—	2	2	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
993	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
994	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
995	C₄²	—	2	1	no	—
996	C₄²	—	2	1	no	—
997	C₄²	—	2	2	no	—
998	C₄²	—	2	1	no	—
999	C₄²	—	2	2	no	—
1000	C₄²	—	2	2	no	—
1001	C₄²	—	2	1	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	2	no	—
1005	C₄²	—	2	2	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1008	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1009	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1010	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1011	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1012	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1013	C₄²	C₂⁴×C₁₃	1	2	yes	—
1014	C₁₃	#61447	1	1	yes	characteristic, direct product factor, Sylow
1015	C₂³	—	2	1	no	—
1016	C₂³	—	2	1	no	—
1017	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1018	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1019	Q₈	—	2	2	no	—
1020	Q₈	—	2	1	no	—
1021	Q₈	—	2	2	no	—
1022	Q₈	—	2	1	no	—
1023	Q₈	—	2	2	no	—
1024	Q₈	—	2	2	no	—
1025	Q₈	—	2	2	no	—
1026	Q₈	—	2	1	no	—
1027	Q₈	—	4	4	no	—
1028	Q₈	—	4	4	no	—
1029	Q₈	—	4	2	no	—
1030	Q₈	—	4	2	no	—
1031	Q₈	C₂×C₁₃×#41	1	2	yes	—
1032	D₄	—	2	2	no	—
1033	D₄	—	2	1	no	—
1034	D₄	—	2	1	no	—
1035	D₄	—	2	1	no	—
1036	D₄	—	4	2	no	—
1037	D₄	—	4	2	no	—
1038	D₄	—	4	4	no	—
1039	D₄	—	4	2	no	—
1040	D₄	—	4	4	no	—
1041	D₄	C₂×C₁₃×#41	1	2	yes	—
1042	C₂×C₄	—	2	1	no	—
1043	C₂×C₄	—	2	2	no	—
1044	C₂×C₄	—	2	4	no	—
1045	C₂×C₄	—	2	2	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	2	no	—
1048	C₂×C₄	—	2	1	no	—
1049	C₂×C₄	—	2	2	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	no	—
1059	C₂×C₄	—	4	2	no	—
1060	C₂×C₄	—	4	2	no	—
1061	C₂×C₄	—	4	4	no	—
1062	C₂×C₄	—	4	2	no	—
1063	C₂×C₄	—	4	4	no	—
1064	C₂×C₄	—	4	4	no	—
1065	C₂×C₄	—	4	4	no	—
1066	C₂×C₄	—	4	2	no	—
1067	C₂×C₄	—	4	2	no	—
1068	C₂×C₄	—	4	2	no	—
1069	C₂×C₄	—	4	2	no	—
1070	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1071	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1072	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1073	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1074	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1075	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1076	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1077	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1078	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1079	C₈	—	2	1	no	—
1080	C₈	—	2	2	no	—
1081	C₈	—	2	1	no	—
1082	C₈	—	2	1	no	—
1083	C₈	—	2	2	no	—
1084	C₈	C₂×C₁₃×#41	1	2	yes	—
1085	C₂²	—	2	1	no	—
1086	C₂²	—	2	2	no	—
1087	C₂²	—	2	1	no	—
1088	C₂²	—	2	2	no	—
1089	C₂²	—	2	2	no	—
1090	C₂²	—	2	1	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	4	1	no	—
1093	C₂²	—	4	1	no	—
1094	C₂²	—	4	1	no	—
1095	C₂²	—	4	1	no	—
1096	C₂²	—	4	1	no	—
1097	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1098	C₄	—	2	1	no	—
1099	C₄	—	2	2	no	—
1100	C₄	—	2	2	no	—
1101	C₄	—	2	1	no	—
1102	C₄	—	2	1	no	—
1103	C₄	—	2	2	no	—
1104	C₄	—	2	2	no	—
1105	C₄	—	4	1	no	—
1106	C₄	—	4	2	no	—
1107	C₄	—	4	2	no	—
1108	C₄	—	4	1	no	—
1109	C₄	—	4	1	no	—
1110	C₄	—	4	1	no	—
1111	C₄	—	4	1	no	—
1112	C₄	—	4	2	no	—
1113	C₄	—	4	2	no	—
1114	C₄	C₁₃×#575	1	2	yes	—
1115	C₄	C₁₃×#578	1	2	yes	—
1116	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1117	C₄	C₁₃×#585	1	1	yes	characteristic
1118	C₂	—	4	1	no	—
1119	C₂	—	4	2	no	—
1120	C₂	—	4	2	no	—
1121	C₂	—	8	1	no	—
1122	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1123	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1124	C₂	C₂×C₁₃×#578	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₁₃	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
socle	C₂²×C₁₃	C₂³×D₄
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₁₃ ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3482	C₂	semidirect
2. C₁₃×#3482	C₂	semidirect
3. C₁₃×#3398	C₂	semidirect
4. C₁₃×#3386	C₂	semidirect
5. C₁₃×#3374	C₂	semidirect
6. C₁₃×#3367	C₂	semidirect
7. C₁₃×#3353	C₂	semidirect
8. C₁₃×#3349	C₂	semidirect
9. C₁₃×#3330	C₂	semidirect
10. C₁₃×#3328	C₂	semidirect
11. C₁₃×#3315	C₂	semidirect
12. C₁₃×#3313	C₂	semidirect
13. C₁₃×#3276	C₂	semidirect
14. C₁₃×#3269	C₂	semidirect
15. C₁₃×#3172	C₂	semidirect
16. C₁₃×#3170	C₂	semidirect
17. C₁₃×#3107	C₂	semidirect
18. C₁₃×#3107	C₂	semidirect
19. C₁₃×#3104	C₂	semidirect
20. C₁₃×#3102	C₂	semidirect
21. C₁₃×#2965	C₂	semidirect
22. C₄×C₁₃×#137	C₂	semidirect
23. C₄×C₁₃×#135	C₂	semidirect
314. #61447	C₁₃	direct (N × H)
367. C₁₃×SD₁₆	#41	semidirect
453. #3482	C₂×C₁₃	semidirect
454. #3482	C₂×C₁₃	semidirect
455. #3398	C₂×C₁₃	semidirect
456. #3386	C₂×C₁₃	semidirect
457. #3374	C₂×C₁₃	semidirect
458. #3367	C₂×C₁₃	semidirect
459. #3353	C₂×C₁₃	semidirect
460. #3349	C₂×C₁₃	semidirect
461. #3330	C₂×C₁₃	semidirect
462. #3328	C₂×C₁₃	semidirect
463. #3315	C₂×C₁₃	semidirect
464. #3313	C₂×C₁₃	semidirect
465. #3276	C₂×C₁₃	semidirect
466. #3269	C₂×C₁₃	semidirect
467. #3172	C₂×C₁₃	semidirect
468. #3170	C₂×C₁₃	semidirect
469. #3107	C₂×C₁₃	semidirect
470. #3107	C₂×C₁₃	semidirect
471. #3104	C₂×C₁₃	semidirect
472. #3102	C₂×C₁₃	semidirect
473. #2965	C₂×C₁₃	semidirect
474. C₄×#137	C₂×C₁₃	semidirect
475. C₄×#135	C₂×C₁₃	semidirect
928. SD₁₆	C₁₃×#41	semidirect
1014. C₁₃	#61447	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×#3482	2
C₁₃×#3398	2
C₁₃×#3386	2
C₁₃×#3374	2
C₁₃×#3367	2
C₁₃×#3353	2
C₁₃×#3349	2
C₁₃×#3330	2
C₁₃×#3328	2
C₁₃×#3315	2
C₁₃×#3313	2
C₁₃×#3276	2
C₁₃×#3269	2
C₁₃×#3172	2
C₁₃×#3170	2
C₁₃×#3107	2
C₁₃×#3104	2
C₁₃×#3102	2
C₁₃×#2965	2
C₄×C₁₃×#137	2
C₄×C₁₃×#135	2
#61447	13

Subgroups — C13×#61447 #15747786

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61447 #15747786