Subgroups — C₁₃×#61268 #15747607

Order 3328.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1140 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3495	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3494	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3357	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3353	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3351	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3351	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3350	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3348	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3346	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3343	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3164	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3097	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3096	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3095	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3094	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3057	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₃×#468	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2949	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2930	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2913	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2911	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
27	C₁₃×#556	C₂²	1	2	yes	complemented
28	C₁₃×#555	C₂²	1	2	yes	—
29	C₁₃×#554	C₂²	1	2	yes	complemented
30	C₁₃×#553	C₂²	1	2	yes	—
31	C₁₃×#553	C₂²	1	2	yes	—
32	C₁₃×#552	—	2	2	no	—
33	C₁₃×#552	C₂²	1	2	yes	complemented
34	C₁₃×#552	C₂²	1	2	yes	complemented
35	C₁₃×#551	—	2	2	no	—
36	C₁₃×#551	—	2	2	no	—
37	C₁₃×#547	C₂²	1	2	yes	—
38	C₁₃×#546	—	2	2	no	—
39	C₁₃×#544	C₂²	1	1	yes	characteristic
40	C₁₃×#544	C₂²	1	1	yes	characteristic
41	C₁₃×#542	—	2	1	no	—
42	C₁₃×#542	—	2	1	no	—
43	C₁₃×#541	—	2	1	no	—
44	C₁₃×#540	—	2	1	no	—
45	C₁₃×#536	C₂²	1	1	yes	characteristic
46	C₁₃×#535	C₂²	1	1	yes	characteristic
47	C₁₃×#533	—	2	1	no	—
48	C₁₃×#532	—	2	1	no	—
49	C₁₃×#529	—	2	1	no	—
50	C₁₃×#529	—	2	1	no	—
51	C₁₃×#525	C₂²	1	1	yes	characteristic
52	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
54	C₁₃×#520	C₂²	1	1	yes	characteristic
55	C₁₃×#520	C₂²	1	1	yes	characteristic
56	C₁₃×#519	C₂²	1	1	yes	characteristic
57	C₁₃×#518	C₂²	1	1	yes	characteristic
58	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
59	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
60	C₁₃×#501	C₂²	1	2	yes	complemented
61	C₁₃×#501	C₂²	1	2	yes	complemented
62	C₁₃×#500	C₂²	1	2	yes	complemented
63	C₁₃×#499	C₂²	1	2	yes	complemented
64	C₁₃×#485	C₂²	1	2	yes	complemented
65	C₁₃×#485	C₂²	1	2	yes	complemented
66	C₁₃×#485	C₂²	1	2	yes	complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#484	C₂²	1	2	yes	complemented
69	C₁₃×#484	C₂²	1	2	yes	complemented
70	C₁₃×#483	C₂²	1	2	yes	complemented
71	C₁₃×#483	C₂²	1	2	yes	complemented
72	C₁₃×#482	C₂²	1	2	yes	—
73	C₁₃×#482	C₂²	1	2	yes	—
74	C₁₃×#482	C₂²	1	2	yes	complemented
75	C₁₃×#482	C₂²	1	2	yes	complemented
76	C₁₃×#481	C₂²	1	2	yes	—
77	C₁₃×#481	C₂²	1	2	yes	complemented
78	C₁₃×#480	C₂²	1	2	yes	—
79	C₁₃×#480	C₂²	1	2	yes	complemented
80	C₁₃×#479	C₂²	1	2	yes	complemented
81	C₁₃×#479	C₂²	1	2	yes	complemented
82	C₁₃×#478	C₂²	1	2	yes	complemented
83	C₁₃×#478	C₂²	1	2	yes	complemented
84	C₁₃×#477	C₂²	1	2	yes	complemented
85	C₁₃×#476	C₂²	1	2	yes	complemented
86	C₁₃×#475	C₂²	1	2	yes	complemented
87	C₁₃×#474	C₂²	1	2	yes	complemented
88	C₁₃×#468	C₂²	1	2	yes	—
89	C₁₃×#468	C₂²	1	2	yes	—
90	C₁₃×#468	C₂²	1	2	yes	—
91	C₁₃×#468	C₂²	1	2	yes	—
92	C₁₃×#468	C₂²	1	2	yes	complemented
93	C₁₃×#468	C₂²	1	2	yes	complemented
94	C₁₃×#465	C₂²	1	2	yes	complemented
95	C₁₃×#465	C₂²	1	2	yes	complemented
96	C₁₃×#440	C₂²	1	2	yes	complemented
97	C₁₃×#440	C₂²	1	2	yes	complemented
98	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
99	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
100	C₁₃×#436	C₂²	1	2	yes	complemented
101	C₁₃×#436	C₂²	1	2	yes	complemented
102	C₁₃×#435	C₂²	1	2	yes	complemented
103	C₁₃×#435	C₂²	1	2	yes	complemented
104	C₁₃×#428	C₂²	1	1	yes	characteristic
105	C₁₃×#428	C₂²	1	1	yes	characteristic
106	C₁₃×#428	C₂²	1	1	yes	characteristic
107	C₁₃×#428	C₂²	1	1	yes	characteristic
108	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#428	C₂²	1	2	yes	complemented
115	C₁₃×#428	C₂²	1	2	yes	complemented
116	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#428	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#427	C₂²	1	1	yes	characteristic
119	C₁₃×#427	C₂²	1	1	yes	characteristic
120	C₁₃×#427	C₂²	1	1	yes	characteristic
121	C₁₃×#427	C₂²	1	1	yes	characteristic
122	C₁₃×#427	C₂²	1	2	yes	complemented
123	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
124	C₂×C₁₃×#107	C₂²	1	2	yes	complemented
125	C₁₃×#424	C₂²	1	1	yes	characteristic
126	C₁₃×#419	C₂²	1	1	yes	characteristic
127	C₁₃×#419	C₂²	1	1	yes	characteristic
128	C₁₃×#418	C₂²	1	1	yes	characteristic
129	C₁₃×#418	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
131	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
132	C₁₃×#408	C₂²	1	1	yes	characteristic
133	C₁₃×#407	C₂²	1	1	yes	characteristic
134	C₁₃×#405	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	—	2	2	no	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃	—	2	1	no	—
139	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂×C₁₃×SD₁₆	—	2	4	no	—
142	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
143	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
144	C₁₃×#131	—	2	4	no	—
145	C₂×C₁₃×M₁₆	—	2	4	no	—
146	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
147	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
151	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
153	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
159	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
160	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
161	C₁₃×#127	—	2	1	no	—
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	1	no	—
169	C₁₃×#125	—	2	1	no	—
170	C₁₃×#125	—	2	2	no	—
171	C₁₃×#125	—	2	2	no	—
172	C₁₃×#125	—	2	2	no	—
173	C₁₃×#125	C₂³	1	2	yes	—
174	C₁₃×#125	C₂³	1	2	yes	—
175	C₁₃×#124	—	2	1	no	—
176	C₁₃×#124	—	2	1	no	—
177	C₁₃×#124	—	2	2	no	—
178	C₁₃×#124	—	2	2	no	—
179	C₁₃×#124	—	2	2	no	—
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×#123	—	2	2	no	—
187	C₁₃×#123	D₄	1	2	yes	—
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	—	2	2	no	—
194	C₁₃×C₂²⋊Q₈	—	2	2	no	—
195	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
196	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
197	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
198	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
199	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	2	no	—
203	C₁₃×#121	—	2	2	no	—
204	C₁₃×#121	—	2	1	no	—
205	C₁₃×#121	—	2	1	no	—
206	C₁₃×#121	D₄	1	1	yes	characteristic
207	C₁₃×#121	D₄	1	1	yes	characteristic
208	C₁₃×#121	C₂³	1	2	yes	—
209	C₁₃×#121	C₂³	1	2	yes	—
210	C₁₃×#121	C₂³	1	2	yes	—
211	C₁₃×#121	C₂³	1	2	yes	—
212	C₁₃×#120	—	2	2	no	—
213	C₁₃×#120	D₄	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	2	yes	—
220	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
221	C₄×D₄×C₁₃	—	2	1	no	—
222	C₄×D₄×C₁₃	—	2	1	no	—
223	C₄×D₄×C₁₃	—	2	2	no	—
224	C₄×D₄×C₁₃	—	2	2	no	—
225	C₄×D₄×C₁₃	—	2	2	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	—	2	2	no	—
229	C₄×D₄×C₁₃	—	2	2	no	—
230	C₄×D₄×C₁₃	C₂³	1	2	yes	—
231	C₄×D₄×C₁₃	C₂³	1	2	yes	—
232	C₄×D₄×C₁₃	C₂³	1	2	yes	—
233	C₄×D₄×C₁₃	C₂³	1	2	yes	—
234	C₁₃×#117	—	2	1	no	—
235	C₁₃×#117	—	2	1	no	—
236	C₁₃×#117	—	2	1	no	—
237	C₁₃×#117	—	2	1	no	—
238	C₁₃×#117	—	2	2	no	—
239	C₁₃×#117	—	2	2	no	—
240	C₁₃×#117	—	2	2	no	—
241	C₁₃×#117	—	2	2	no	—
242	C₁₃×#117	C₂³	1	1	yes	characteristic
243	C₁₃×#117	C₂³	1	1	yes	characteristic
244	C₁₃×#117	C₂³	1	1	yes	characteristic
245	C₁₃×#117	C₂³	1	1	yes	characteristic
246	C₁₃×#117	C₂³	1	2	yes	—
247	C₁₃×#117	C₂³	1	2	yes	—
248	C₁₃×#117	C₂³	1	1	yes	characteristic
249	C₁₃×#117	C₂³	1	1	yes	characteristic
250	C₁₃×#117	C₂³	1	1	yes	characteristic
251	C₁₃×#117	C₂³	1	1	yes	characteristic
252	C₁₃×#117	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
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×C₂²⋊C₄	—	2	1	no	—
263	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
266	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	—	2	1	no	—
269	C₁₃×#107	C₂³	1	2	yes	—
270	C₁₃×#107	C₂³	1	2	yes	—
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	1	yes	characteristic
275	C₁₃×#107	C₂³	1	1	yes	characteristic
276	C₁₃×#107	C₂³	1	1	yes	characteristic
277	C₁₃×#107	C₂³	1	1	yes	characteristic
278	C₁₃×#107	C₂³	1	1	yes	characteristic
279	C₁₃×#107	C₂³	1	1	yes	characteristic
280	C₁₃×#107	C₂³	1	1	yes	characteristic
281	C₁₃×#107	C₂³	1	2	yes	—
282	C₁₃×#107	C₂³	1	2	yes	—
283	C₁₃×#106	C₂³	1	1	yes	characteristic
284	C₁₃×#106	C₂³	1	1	yes	characteristic
285	C₁₃×#106	C₂³	1	1	yes	characteristic
286	C₁₃×#106	C₂³	1	1	yes	characteristic
287	C₁₃×#106	C₂³	1	1	yes	characteristic
288	C₁₃×#106	C₂³	1	1	yes	characteristic
289	C₁₃×#106	C₂³	1	1	yes	characteristic
290	C₁₃×#106	C₂³	1	1	yes	characteristic
291	C₁₃×#106	C₂³	1	2	yes	—
292	C₁₃×#106	C₂³	1	2	yes	—
293	C₁₃×#106	C₂³	1	2	yes	—
294	C₁₃×#106	C₂³	1	2	yes	—
295	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
296	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#103	C₂³	1	2	yes	—
301	C₁₃×#103	C₂³	1	2	yes	—
302	C₁₃×#103	C₂³	1	2	yes	—
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×#102	C₂³	1	2	yes	—
308	C₁₃×#102	C₂³	1	2	yes	—
309	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₁₃×#97	C₂³	1	2	yes	—
314	C₄×C₈×C₁₃	C₂³	1	2	yes	—
315	#61268	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	—	2	1	no	—
317	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
318	C₁₃×#41	—	2	2	no	—
319	C₁₃×#41	—	2	2	no	—
320	C₁₃×#41	—	8	4	no	—
321	C₂×Q₈×C₁₃	—	2	1	no	—
322	C₂×Q₈×C₁₃	—	2	2	no	—
323	C₂×Q₈×C₁₃	—	2	2	no	—
324	C₂×Q₈×C₁₃	—	2	2	no	—
325	C₂×Q₈×C₁₃	—	2	2	no	—
326	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
327	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
328	C₂×D₄×C₁₃	—	2	2	no	—
329	C₂×D₄×C₁₃	—	2	2	no	—
330	C₂×D₄×C₁₃	—	2	2	no	—
331	C₂×D₄×C₁₃	—	2	2	no	—
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	—	2	2	no	—
335	C₂×D₄×C₁₃	—	8	2	no	—
336	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
337	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
338	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
339	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
340	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
341	C₂²×C₄×C₁₃	—	2	2	no	—
342	C₂²×C₄×C₁₃	—	2	2	no	—
343	C₂²×C₄×C₁₃	—	2	1	no	—
344	C₂²×C₄×C₁₃	—	2	1	no	—
345	C₂²×C₄×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
355	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
356	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
358	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₁₃×SD₁₆	—	2	4	no	—
362	C₁₃×SD₁₆	—	2	4	no	—
363	C₁₃×M₁₆	—	2	2	no	—
364	C₁₃×M₁₆	—	2	2	no	—
365	C₁₃×M₁₆	—	2	2	no	—
366	C₁₃×M₁₆	—	2	2	no	—
367	C₁₃×M₁₆	—	2	2	no	—
368	C₁₃×M₁₆	—	2	2	no	—
369	C₁₃×M₁₆	—	2	4	no	—
370	C₂×C₈×C₁₃	—	2	2	no	—
371	C₂×C₈×C₁₃	—	2	4	no	—
372	C₂×C₈×C₁₃	#41	1	4	yes	complemented
373	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
374	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
375	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₁₃×C₄⋊C₄	—	2	2	no	—
380	C₁₃×C₄⋊C₄	—	2	2	no	—
381	C₁₃×C₄⋊C₄	—	2	1	no	—
382	C₁₃×C₄⋊C₄	—	2	1	no	—
383	C₁₃×C₄⋊C₄	—	2	1	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	2	no	—
388	C₁₃×C₄⋊C₄	—	2	2	no	—
389	C₁₃×C₄⋊C₄	—	2	2	no	—
390	C₁₃×C₄⋊C₄	—	2	2	no	—
391	C₁₃×C₄⋊C₄	—	2	2	no	—
392	C₁₃×C₄⋊C₄	—	2	2	no	—
393	C₁₃×C₄⋊C₄	—	2	2	no	—
394	C₁₃×C₄⋊C₄	—	2	2	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
400	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
401	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
402	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
403	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
404	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
405	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
406	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₂²⋊C₄	—	2	1	no	—
414	C₁₃×C₂²⋊C₄	—	2	1	no	—
415	C₁₃×C₂²⋊C₄	—	2	1	no	—
416	C₁₃×C₂²⋊C₄	—	2	1	no	—
417	C₁₃×C₂²⋊C₄	—	2	1	no	—
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	1	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
426	C₁₃×C₂²⋊C₄	—	2	2	no	—
427	C₁₃×C₂²⋊C₄	—	2	2	no	—
428	C₁₃×C₂²⋊C₄	—	2	2	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	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	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
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	1	no	—
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	2	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	C₂⁴	1	2	yes	—
451	#3495	C₂×C₁₃	1	1	yes	characteristic, complemented
452	#3494	C₂×C₁₃	1	1	yes	characteristic
453	#3357	C₂×C₁₃	1	2	yes	complemented
454	#3353	C₂×C₁₃	1	2	yes	complemented
455	#3351	C₂×C₁₃	1	2	yes	complemented
456	#3351	C₂×C₁₃	1	2	yes	complemented
457	#3350	C₂×C₁₃	1	2	yes	complemented
458	#3348	C₂×C₁₃	1	2	yes	complemented
459	#3346	C₂×C₁₃	1	2	yes	complemented
460	#3343	C₂×C₁₃	1	2	yes	complemented
461	#3164	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3097	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3096	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3095	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3094	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3057	C₂×C₁₃	1	1	yes	characteristic, complemented
469	C₂×#468	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#2949	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#2930	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#2913	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#2911	C₂×C₁₃	1	1	yes	characteristic, complemented
474	C₂³×C₁₃	—	2	2	no	—
475	C₂³×C₁₃	—	2	2	no	—
476	C₂³×C₁₃	—	4	1	no	—
477	C₂³×C₁₃	—	4	1	no	—
478	C₂³×C₁₃	—	4	2	no	—
479	C₂³×C₁₃	—	8	1	no	—
480	C₂³×C₁₃	—	8	1	no	—
481	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
482	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
483	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
484	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
485	Q₈×C₁₃	—	2	2	no	—
486	Q₈×C₁₃	—	2	2	no	—
487	Q₈×C₁₃	—	2	2	no	—
488	Q₈×C₁₃	—	4	2	no	—
489	Q₈×C₁₃	—	8	2	no	—
490	Q₈×C₁₃	—	8	2	no	—
491	D₄×C₁₃	—	2	4	no	—
492	D₄×C₁₃	—	2	2	no	—
493	D₄×C₁₃	—	2	2	no	—
494	D₄×C₁₃	—	2	2	no	—
495	D₄×C₁₃	—	4	2	no	—
496	D₄×C₁₃	—	4	2	no	—
497	D₄×C₁₃	—	4	4	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	C₂×C₄×C₁₃	—	2	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	1	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	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	1	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	1	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	—	4	2	no	—
523	C₂×C₄×C₁₃	—	4	2	no	—
524	C₂×C₄×C₁₃	—	4	2	no	—
525	C₂×C₄×C₁₃	—	8	2	no	—
526	C₂×C₄×C₁₃	—	8	2	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	1	no	—
532	C₂×C₄×C₁₃	—	8	2	no	—
533	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
535	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
536	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
537	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
538	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
540	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
541	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
542	C₈×C₁₃	—	2	1	no	—
543	C₈×C₁₃	—	2	1	no	—
544	C₈×C₁₃	—	2	2	no	—
545	C₈×C₁₃	—	2	2	no	—
546	C₈×C₁₃	C₂×#41	1	2	yes	—
547	C₈×C₁₃	C₂×#41	1	2	yes	—
548	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
549	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
550	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
551	#556	C₂²×C₁₃	1	2	yes	complemented
552	#555	C₂²×C₁₃	1	2	yes	—
553	#554	C₂²×C₁₃	1	2	yes	complemented
554	#553	C₂²×C₁₃	1	2	yes	—
555	#553	C₂²×C₁₃	1	2	yes	—
556	#552	—	2	2	no	—
557	#552	C₂²×C₁₃	1	2	yes	complemented
558	#552	C₂²×C₁₃	1	2	yes	complemented
559	#551	—	2	2	no	—
560	#551	—	2	2	no	—
561	#547	C₂²×C₁₃	1	2	yes	—
562	#546	—	2	2	no	—
563	#544	C₂²×C₁₃	1	1	yes	characteristic
564	#544	C₂²×C₁₃	1	1	yes	characteristic
565	#542	—	2	1	no	—
566	#542	—	2	1	no	—
567	#541	—	2	1	no	—
568	#540	—	2	1	no	—
569	#536	C₂²×C₁₃	1	1	yes	characteristic
570	#535	C₂²×C₁₃	1	1	yes	characteristic
571	#533	—	2	1	no	—
572	#532	—	2	1	no	—
573	#529	—	2	1	no	—
574	#529	—	2	1	no	—
575	#525	C₂²×C₁₃	1	1	yes	characteristic
576	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
577	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
578	#520	C₂²×C₁₃	1	1	yes	characteristic
579	#520	C₂²×C₁₃	1	1	yes	characteristic
580	#519	C₂²×C₁₃	1	1	yes	characteristic
581	#518	C₂²×C₁₃	1	1	yes	characteristic
582	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
583	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
584	#501	C₂²×C₁₃	1	2	yes	complemented
585	#501	C₂²×C₁₃	1	2	yes	complemented
586	#500	C₂²×C₁₃	1	2	yes	complemented
587	#499	C₂²×C₁₃	1	2	yes	complemented
588	#485	C₂²×C₁₃	1	2	yes	complemented
589	#485	C₂²×C₁₃	1	2	yes	complemented
590	#485	C₂²×C₁₃	1	2	yes	complemented
591	#485	C₂²×C₁₃	1	2	yes	complemented
592	#484	C₂²×C₁₃	1	2	yes	complemented
593	#484	C₂²×C₁₃	1	2	yes	complemented
594	#483	C₂²×C₁₃	1	2	yes	complemented
595	#483	C₂²×C₁₃	1	2	yes	complemented
596	#482	C₂²×C₁₃	1	2	yes	—
597	#482	C₂²×C₁₃	1	2	yes	—
598	#482	C₂²×C₁₃	1	2	yes	complemented
599	#482	C₂²×C₁₃	1	2	yes	complemented
600	#481	C₂²×C₁₃	1	2	yes	—
601	#481	C₂²×C₁₃	1	2	yes	complemented
602	#480	C₂²×C₁₃	1	2	yes	—
603	#480	C₂²×C₁₃	1	2	yes	complemented
604	#479	C₂²×C₁₃	1	2	yes	complemented
605	#479	C₂²×C₁₃	1	2	yes	complemented
606	#478	C₂²×C₁₃	1	2	yes	complemented
607	#478	C₂²×C₁₃	1	2	yes	complemented
608	#477	C₂²×C₁₃	1	2	yes	complemented
609	#476	C₂²×C₁₃	1	2	yes	complemented
610	#475	C₂²×C₁₃	1	2	yes	complemented
611	#474	C₂²×C₁₃	1	2	yes	complemented
612	#468	C₂²×C₁₃	1	2	yes	—
613	#468	C₂²×C₁₃	1	2	yes	—
614	#468	C₂²×C₁₃	1	2	yes	—
615	#468	C₂²×C₁₃	1	2	yes	—
616	#468	C₂²×C₁₃	1	2	yes	complemented
617	#468	C₂²×C₁₃	1	2	yes	complemented
618	#465	C₂²×C₁₃	1	2	yes	complemented
619	#465	C₂²×C₁₃	1	2	yes	complemented
620	#440	C₂²×C₁₃	1	2	yes	complemented
621	#440	C₂²×C₁₃	1	2	yes	complemented
622	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
623	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
624	#436	C₂²×C₁₃	1	2	yes	complemented
625	#436	C₂²×C₁₃	1	2	yes	complemented
626	#435	C₂²×C₁₃	1	2	yes	complemented
627	#435	C₂²×C₁₃	1	2	yes	complemented
628	#428	C₂²×C₁₃	1	1	yes	characteristic
629	#428	C₂²×C₁₃	1	1	yes	characteristic
630	#428	C₂²×C₁₃	1	1	yes	characteristic
631	#428	C₂²×C₁₃	1	1	yes	characteristic
632	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
633	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
634	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
636	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	#428	C₂²×C₁₃	1	2	yes	complemented
639	#428	C₂²×C₁₃	1	2	yes	complemented
640	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	#428	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#427	C₂²×C₁₃	1	1	yes	characteristic
643	#427	C₂²×C₁₃	1	1	yes	characteristic
644	#427	C₂²×C₁₃	1	1	yes	characteristic
645	#427	C₂²×C₁₃	1	1	yes	characteristic
646	#427	C₂²×C₁₃	1	2	yes	complemented
647	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
648	C₂×#107	C₂²×C₁₃	1	2	yes	complemented
649	#424	C₂²×C₁₃	1	1	yes	characteristic
650	#419	C₂²×C₁₃	1	1	yes	characteristic
651	#419	C₂²×C₁₃	1	1	yes	characteristic
652	#418	C₂²×C₁₃	1	1	yes	characteristic
653	#418	C₂²×C₁₃	1	1	yes	characteristic
654	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
655	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
656	#408	C₂²×C₁₃	1	1	yes	characteristic
657	#407	C₂²×C₁₃	1	1	yes	characteristic
658	#405	C₂²×C₁₃	1	1	yes	characteristic
659	C₂²×C₁₃	—	2	1	no	—
660	C₂²×C₁₃	—	2	1	no	—
661	C₂²×C₁₃	—	2	1	no	—
662	C₂²×C₁₃	—	2	2	no	—
663	C₂²×C₁₃	—	2	1	no	—
664	C₂²×C₁₃	—	2	1	no	—
665	C₂²×C₁₃	—	2	1	no	—
666	C₂²×C₁₃	—	2	2	no	—
667	C₂²×C₁₃	—	2	1	no	—
668	C₂²×C₁₃	—	2	1	no	—
669	C₂²×C₁₃	—	2	2	no	—
670	C₂²×C₁₃	—	4	2	no	—
671	C₂²×C₁₃	—	4	2	no	—
672	C₂²×C₁₃	—	4	2	no	—
673	C₂²×C₁₃	—	8	2	no	—
674	C₂²×C₁₃	—	16	2	no	—
675	C₂²×C₁₃	#547	1	2	yes	—
676	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
677	C₄×C₁₃	—	2	2	no	—
678	C₄×C₁₃	—	2	2	no	—
679	C₄×C₁₃	—	2	1	no	—
680	C₄×C₁₃	—	2	1	no	—
681	C₄×C₁₃	—	2	2	no	—
682	C₄×C₁₃	—	4	1	no	—
683	C₄×C₁₃	—	4	1	no	—
684	C₄×C₁₃	—	4	1	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	1	no	—
690	C₄×C₁₃	—	4	1	no	—
691	C₄×C₁₃	—	4	1	no	—
692	C₄×C₁₃	—	4	2	no	—
693	C₄×C₁₃	#547	1	2	yes	—
694	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
695	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
696	C₂×#41	—	2	2	no	—
697	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
698	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
699	C₂²×D₄	—	2	1	no	—
700	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
701	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
702	C₂×SD₁₆	—	2	4	no	—
703	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
704	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
705	#131	—	2	4	no	—
706	C₂×M₁₆	—	2	4	no	—
707	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
708	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
709	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
710	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
711	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
712	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
713	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
714	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
715	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
716	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
717	C₄⋊Q₈	—	2	1	no	—
718	C₄⋊Q₈	—	2	1	no	—
719	C₄⋊Q₈	—	2	1	no	—
720	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
721	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
722	#127	—	2	1	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	#126	—	2	2	no	—
729	#125	—	2	1	no	—
730	#125	—	2	1	no	—
731	#125	—	2	2	no	—
732	#125	—	2	2	no	—
733	#125	—	2	2	no	—
734	#125	C₂³×C₁₃	1	2	yes	—
735	#125	C₂³×C₁₃	1	2	yes	—
736	#124	—	2	1	no	—
737	#124	—	2	1	no	—
738	#124	—	2	2	no	—
739	#124	—	2	2	no	—
740	#124	—	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	#123	—	2	2	no	—
747	#123	—	2	2	no	—
748	#123	D₄×C₁₃	1	2	yes	—
749	C₂²⋊Q₈	—	2	1	no	—
750	C₂²⋊Q₈	—	2	1	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	—	2	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	2	2	no	—
755	C₂²⋊Q₈	—	2	2	no	—
756	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
757	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
758	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
759	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
760	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
761	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
762	#121	—	2	2	no	—
763	#121	—	2	2	no	—
764	#121	—	2	2	no	—
765	#121	—	2	1	no	—
766	#121	—	2	1	no	—
767	#121	D₄×C₁₃	1	1	yes	characteristic
768	#121	D₄×C₁₃	1	1	yes	characteristic
769	#121	C₂³×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	#120	—	2	2	no	—
774	#120	D₄×C₁₃	1	2	yes	—
775	C₄×Q₈	—	2	1	no	—
776	C₄×Q₈	—	2	1	no	—
777	C₄×Q₈	—	2	1	no	—
778	C₄×Q₈	—	2	1	no	—
779	C₄×Q₈	—	2	2	no	—
780	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
781	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
782	C₄×D₄	—	2	1	no	—
783	C₄×D₄	—	2	1	no	—
784	C₄×D₄	—	2	2	no	—
785	C₄×D₄	—	2	2	no	—
786	C₄×D₄	—	2	2	no	—
787	C₄×D₄	—	2	1	no	—
788	C₄×D₄	—	2	1	no	—
789	C₄×D₄	—	2	2	no	—
790	C₄×D₄	—	2	2	no	—
791	C₄×D₄	C₂³×C₁₃	1	2	yes	—
792	C₄×D₄	C₂³×C₁₃	1	2	yes	—
793	C₄×D₄	C₂³×C₁₃	1	2	yes	—
794	C₄×D₄	C₂³×C₁₃	1	2	yes	—
795	#117	—	2	1	no	—
796	#117	—	2	1	no	—
797	#117	—	2	1	no	—
798	#117	—	2	1	no	—
799	#117	—	2	2	no	—
800	#117	—	2	2	no	—
801	#117	—	2	2	no	—
802	#117	—	2	2	no	—
803	#117	C₂³×C₁₃	1	1	yes	characteristic
804	#117	C₂³×C₁₃	1	1	yes	characteristic
805	#117	C₂³×C₁₃	1	1	yes	characteristic
806	#117	C₂³×C₁₃	1	1	yes	characteristic
807	#117	C₂³×C₁₃	1	1	yes	characteristic
808	#117	C₂³×C₁₃	1	1	yes	characteristic
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	1	yes	characteristic
814	C₂×C₄⋊C₄	—	2	1	no	—
815	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
816	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
817	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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	2	yes	—
822	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
823	C₂×C₂²⋊C₄	—	2	1	no	—
824	C₂×C₂²⋊C₄	—	2	1	no	—
825	C₂×C₂²⋊C₄	—	2	1	no	—
826	C₂×C₂²⋊C₄	—	2	1	no	—
827	C₂×C₂²⋊C₄	—	2	2	no	—
828	C₂×C₄²	—	2	1	no	—
829	C₂×C₄²	—	2	1	no	—
830	#107	C₂³×C₁₃	1	2	yes	—
831	#107	C₂³×C₁₃	1	2	yes	—
832	#107	C₂³×C₁₃	1	1	yes	characteristic
833	#107	C₂³×C₁₃	1	2	yes	—
834	#107	C₂³×C₁₃	1	2	yes	—
835	#107	C₂³×C₁₃	1	1	yes	characteristic
836	#107	C₂³×C₁₃	1	1	yes	characteristic
837	#107	C₂³×C₁₃	1	1	yes	characteristic
838	#107	C₂³×C₁₃	1	1	yes	characteristic
839	#107	C₂³×C₁₃	1	1	yes	characteristic
840	#107	C₂³×C₁₃	1	1	yes	characteristic
841	#107	C₂³×C₁₃	1	1	yes	characteristic
842	#107	C₂³×C₁₃	1	2	yes	—
843	#107	C₂³×C₁₃	1	2	yes	—
844	#106	C₂³×C₁₃	1	1	yes	characteristic
845	#106	C₂³×C₁₃	1	1	yes	characteristic
846	#106	C₂³×C₁₃	1	1	yes	characteristic
847	#106	C₂³×C₁₃	1	1	yes	characteristic
848	#106	C₂³×C₁₃	1	1	yes	characteristic
849	#106	C₂³×C₁₃	1	1	yes	characteristic
850	#106	C₂³×C₁₃	1	1	yes	characteristic
851	#106	C₂³×C₁₃	1	1	yes	characteristic
852	#106	C₂³×C₁₃	1	2	yes	—
853	#106	C₂³×C₁₃	1	2	yes	—
854	#106	C₂³×C₁₃	1	2	yes	—
855	#106	C₂³×C₁₃	1	2	yes	—
856	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
857	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
858	#103	C₂³×C₁₃	1	2	yes	—
859	#103	C₂³×C₁₃	1	2	yes	—
860	#103	C₂³×C₁₃	1	2	yes	—
861	#103	C₂³×C₁₃	1	2	yes	—
862	#103	C₂³×C₁₃	1	2	yes	—
863	#103	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	#102	C₂³×C₁₃	1	2	yes	—
868	#102	C₂³×C₁₃	1	2	yes	—
869	#102	C₂³×C₁₃	1	2	yes	—
870	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
871	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
872	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
873	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
874	#97	C₂³×C₁₃	1	2	yes	—
875	C₄×C₈	C₂³×C₁₃	1	2	yes	—
876	C₂×C₁₃	—	2	2	no	—
877	C₂×C₁₃	—	4	2	no	—
878	C₂×C₁₃	—	4	1	no	—
879	C₂×C₁₃	—	4	1	no	—
880	C₂×C₁₃	—	8	2	no	—
881	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
882	C₂×C₁₃	#3585	1	1	yes	characteristic
883	C₂×C₁₃	#3586	1	1	yes	characteristic
884	C₂⁴	—	2	1	no	—
885	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
886	#41	—	2	2	no	—
887	#41	—	2	2	no	—
888	#41	—	8	4	no	—
889	C₂×Q₈	—	2	1	no	—
890	C₂×Q₈	—	2	2	no	—
891	C₂×Q₈	—	2	2	no	—
892	C₂×Q₈	—	2	2	no	—
893	C₂×Q₈	—	2	2	no	—
894	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
895	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
896	C₂×D₄	—	2	2	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	—	2	2	no	—
899	C₂×D₄	—	2	2	no	—
900	C₂×D₄	—	2	1	no	—
901	C₂×D₄	—	2	2	no	—
902	C₂×D₄	—	2	2	no	—
903	C₂×D₄	—	8	2	no	—
904	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
905	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
906	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
907	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
908	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	1	no	—
912	C₂²×C₄	—	2	1	no	—
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	1	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
923	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
924	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
925	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
926	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
927	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
928	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
929	SD₁₆	—	2	4	no	—
930	SD₁₆	—	2	4	no	—
931	M₁₆	—	2	2	no	—
932	M₁₆	—	2	2	no	—
933	M₁₆	—	2	2	no	—
934	M₁₆	—	2	2	no	—
935	M₁₆	—	2	2	no	—
936	M₁₆	—	2	2	no	—
937	M₁₆	—	2	4	no	—
938	C₂×C₈	—	2	2	no	—
939	C₂×C₈	—	2	4	no	—
940	C₂×C₈	C₁₃×#41	1	4	yes	complemented
941	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
942	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
943	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
944	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
945	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
946	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₄⋊C₄	—	2	2	no	—
948	C₄⋊C₄	—	2	2	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	2	1	no	—
953	C₄⋊C₄	—	2	1	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	no	—
959	C₄⋊C₄	—	2	2	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	2	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
968	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
969	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
970	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
971	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
972	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
973	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
974	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
975	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
976	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
978	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
980	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	1	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	2	no	—
991	C₂²⋊C₄	—	2	2	no	—
992	C₂²⋊C₄	—	2	2	no	—
993	C₂²⋊C₄	—	2	2	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	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	—	2	2	no	—
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	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1005	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	1	no	—
1009	C₄²	—	2	1	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	2	1	no	—
1013	C₄²	—	2	1	no	—
1014	C₄²	—	2	2	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	2	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	C₂⁴×C₁₃	1	2	yes	—
1019	C₁₃	#61268	1	1	yes	characteristic, direct product factor, Sylow
1020	C₂³	—	2	2	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	4	1	no	—
1023	C₂³	—	4	1	no	—
1024	C₂³	—	4	2	no	—
1025	C₂³	—	8	1	no	—
1026	C₂³	—	8	1	no	—
1027	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1028	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1029	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1030	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1031	Q₈	—	2	2	no	—
1032	Q₈	—	2	2	no	—
1033	Q₈	—	2	2	no	—
1034	Q₈	—	4	2	no	—
1035	Q₈	—	8	2	no	—
1036	Q₈	—	8	2	no	—
1037	D₄	—	2	4	no	—
1038	D₄	—	2	2	no	—
1039	D₄	—	2	2	no	—
1040	D₄	—	2	2	no	—
1041	D₄	—	4	2	no	—
1042	D₄	—	4	2	no	—
1043	D₄	—	4	4	no	—
1044	D₄	—	4	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	2	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	2	no	—
1068	C₂×C₄	—	4	2	no	—
1069	C₂×C₄	—	4	2	no	—
1070	C₂×C₄	—	4	2	no	—
1071	C₂×C₄	—	8	2	no	—
1072	C₂×C₄	—	8	2	no	—
1073	C₂×C₄	—	8	1	no	—
1074	C₂×C₄	—	8	2	no	—
1075	C₂×C₄	—	8	1	no	—
1076	C₂×C₄	—	8	1	no	—
1077	C₂×C₄	—	8	1	no	—
1078	C₂×C₄	—	8	2	no	—
1079	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1080	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1081	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1082	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1083	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
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	1	no	—
1089	C₈	—	2	1	no	—
1090	C₈	—	2	2	no	—
1091	C₈	—	2	2	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	1	no	—
1097	C₂²	—	2	2	no	—
1098	C₂²	—	2	1	no	—
1099	C₂²	—	2	1	no	—
1100	C₂²	—	2	1	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	2	1	no	—
1103	C₂²	—	2	1	no	—
1104	C₂²	—	2	2	no	—
1105	C₂²	—	4	2	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	2	no	—
1108	C₂²	—	8	2	no	—
1109	C₂²	—	16	2	no	—
1110	C₂²	C₁₃×#547	1	2	yes	—
1111	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1112	C₄	—	2	2	no	—
1113	C₄	—	2	2	no	—
1114	C₄	—	2	1	no	—
1115	C₄	—	2	1	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	2	no	—
1121	C₄	—	4	2	no	—
1122	C₄	—	4	1	no	—
1123	C₄	—	4	1	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	4	1	no	—
1126	C₄	—	4	1	no	—
1127	C₄	—	4	2	no	—
1128	C₄	C₁₃×#547	1	2	yes	—
1129	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1130	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1131	C₂	—	2	2	no	—
1132	C₂	—	4	1	no	—
1133	C₂	—	4	1	no	—
1134	C₂	—	4	2	no	—
1135	C₂	—	8	2	no	—
1136	C₂	C₂×C₁₃×#547	1	1	yes	characteristic
1137	C₂	C₁₃×#3585	1	1	yes	characteristic
1138	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3494	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3495	C₂	semidirect
3. C₁₃×#3357	C₂	semidirect
4. C₁₃×#3353	C₂	semidirect
5. C₁₃×#3351	C₂	semidirect
6. C₁₃×#3351	C₂	semidirect
7. C₁₃×#3350	C₂	semidirect
8. C₁₃×#3348	C₂	semidirect
9. C₁₃×#3346	C₂	semidirect
10. C₁₃×#3343	C₂	semidirect
11. C₁₃×#3164	C₂	semidirect
12. C₁₃×#3097	C₂	semidirect
13. C₁₃×#3096	C₂	semidirect
14. C₁₃×#3095	C₂	semidirect
15. C₁₃×#3094	C₂	semidirect
16. C₁₃×#3082	C₂	semidirect
17. C₁₃×#3081	C₂	semidirect
18. C₁₃×#3057	C₂	semidirect
19. C₂×C₁₃×#468	C₂	semidirect
20. C₁₃×#2949	C₂	semidirect
21. C₁₃×#2930	C₂	semidirect
22. C₁₃×#2913	C₂	semidirect
23. C₁₃×#2911	C₂	semidirect
27. C₁₃×#556	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
33. C₁₃×#552	C₂²	semidirect
34. C₁₃×#552	C₂²	semidirect
60. C₁₃×#501	C₂²	semidirect
61. C₁₃×#501	C₂²	semidirect
62. C₁₃×#500	C₂²	semidirect
63. C₁₃×#499	C₂²	semidirect
64. C₁₃×#485	C₂²	semidirect
65. C₁₃×#485	C₂²	semidirect
66. C₁₃×#485	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
68. C₁₃×#484	C₂²	semidirect
69. C₁₃×#484	C₂²	semidirect
70. C₁₃×#483	C₂²	semidirect
71. C₁₃×#483	C₂²	semidirect
74. C₁₃×#482	C₂²	semidirect
75. C₁₃×#482	C₂²	semidirect
77. C₁₃×#481	C₂²	semidirect
79. C₁₃×#480	C₂²	semidirect
80. C₁₃×#479	C₂²	semidirect
81. C₁₃×#479	C₂²	semidirect
82. C₁₃×#478	C₂²	semidirect
83. C₁₃×#478	C₂²	semidirect
84. C₁₃×#477	C₂²	semidirect
85. C₁₃×#476	C₂²	semidirect
86. C₁₃×#475	C₂²	semidirect
87. C₁₃×#474	C₂²	semidirect
92. C₁₃×#468	C₂²	semidirect
93. C₁₃×#468	C₂²	semidirect
94. C₁₃×#465	C₂²	semidirect
95. C₁₃×#465	C₂²	semidirect
96. C₁₃×#440	C₂²	semidirect
97. C₁₃×#440	C₂²	semidirect
98. C₄×C₁₃×SD₁₆	C₂²	semidirect
99. C₄×C₁₃×SD₁₆	C₂²	semidirect
100. C₁₃×#436	C₂²	semidirect
101. C₁₃×#436	C₂²	semidirect
102. C₁₃×#435	C₂²	semidirect
103. C₁₃×#435	C₂²	semidirect
108. C₁₃×#428	C₂²	semidirect
109. C₁₃×#428	C₂²	semidirect
110. C₁₃×#428	C₂²	semidirect
111. C₁₃×#428	C₂²	semidirect
112. C₁₃×#428	C₂²	semidirect
113. C₁₃×#428	C₂²	semidirect
114. C₁₃×#428	C₂²	semidirect
115. C₁₃×#428	C₂²	semidirect
116. C₁₃×#428	C₂²	semidirect
117. C₁₃×#428	C₂²	semidirect
122. C₁₃×#427	C₂²	semidirect
124. C₂×C₁₃×#107	C₂²	semidirect
315. #61268	C₁₃	direct (N × H)
372. C₂×C₈×C₁₃	#41	semidirect
451. #3495	C₂×C₁₃	semidirect
453. #3357	C₂×C₁₃	semidirect
454. #3353	C₂×C₁₃	semidirect
455. #3351	C₂×C₁₃	semidirect
456. #3351	C₂×C₁₃	semidirect
457. #3350	C₂×C₁₃	semidirect
458. #3348	C₂×C₁₃	semidirect
459. #3346	C₂×C₁₃	semidirect
460. #3343	C₂×C₁₃	semidirect
461. #3164	C₂×C₁₃	semidirect
462. #3097	C₂×C₁₃	semidirect
463. #3096	C₂×C₁₃	semidirect
464. #3095	C₂×C₁₃	semidirect
465. #3094	C₂×C₁₃	semidirect
466. #3082	C₂×C₁₃	semidirect
467. #3081	C₂×C₁₃	semidirect
468. #3057	C₂×C₁₃	semidirect
469. C₂×#468	C₂×C₁₃	semidirect
470. #2949	C₂×C₁₃	semidirect
471. #2930	C₂×C₁₃	semidirect
472. #2913	C₂×C₁₃	semidirect
473. #2911	C₂×C₁₃	semidirect
551. #556	C₂²×C₁₃	semidirect
553. #554	C₂²×C₁₃	semidirect
557. #552	C₂²×C₁₃	semidirect
558. #552	C₂²×C₁₃	semidirect
584. #501	C₂²×C₁₃	semidirect
585. #501	C₂²×C₁₃	semidirect
586. #500	C₂²×C₁₃	semidirect
587. #499	C₂²×C₁₃	semidirect
588. #485	C₂²×C₁₃	semidirect
589. #485	C₂²×C₁₃	semidirect
590. #485	C₂²×C₁₃	semidirect
591. #485	C₂²×C₁₃	semidirect
592. #484	C₂²×C₁₃	semidirect
593. #484	C₂²×C₁₃	semidirect
594. #483	C₂²×C₁₃	semidirect
595. #483	C₂²×C₁₃	semidirect
598. #482	C₂²×C₁₃	semidirect
599. #482	C₂²×C₁₃	semidirect
601. #481	C₂²×C₁₃	semidirect
603. #480	C₂²×C₁₃	semidirect
604. #479	C₂²×C₁₃	semidirect
605. #479	C₂²×C₁₃	semidirect
606. #478	C₂²×C₁₃	semidirect
607. #478	C₂²×C₁₃	semidirect
608. #477	C₂²×C₁₃	semidirect
609. #476	C₂²×C₁₃	semidirect
610. #475	C₂²×C₁₃	semidirect
611. #474	C₂²×C₁₃	semidirect
616. #468	C₂²×C₁₃	semidirect
617. #468	C₂²×C₁₃	semidirect
618. #465	C₂²×C₁₃	semidirect
619. #465	C₂²×C₁₃	semidirect
620. #440	C₂²×C₁₃	semidirect
621. #440	C₂²×C₁₃	semidirect
622. C₄×SD₁₆	C₂²×C₁₃	semidirect
623. C₄×SD₁₆	C₂²×C₁₃	semidirect
624. #436	C₂²×C₁₃	semidirect
625. #436	C₂²×C₁₃	semidirect
626. #435	C₂²×C₁₃	semidirect
627. #435	C₂²×C₁₃	semidirect
632. #428	C₂²×C₁₃	semidirect
633. #428	C₂²×C₁₃	semidirect
634. #428	C₂²×C₁₃	semidirect
635. #428	C₂²×C₁₃	semidirect
636. #428	C₂²×C₁₃	semidirect
637. #428	C₂²×C₁₃	semidirect
638. #428	C₂²×C₁₃	semidirect
639. #428	C₂²×C₁₃	semidirect
640. #428	C₂²×C₁₃	semidirect
641. #428	C₂²×C₁₃	semidirect
646. #427	C₂²×C₁₃	semidirect
648. C₂×#107	C₂²×C₁₃	semidirect
940. C₂×C₈	C₁₃×#41	semidirect
1019. C₁₃	#61268	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×#3495	2
C₁₃×#3494	2
C₁₃×#3357	2
C₁₃×#3353	2
C₁₃×#3351	2
C₁₃×#3350	2
C₁₃×#3348	2
C₁₃×#3346	2
C₁₃×#3343	2
C₁₃×#3164	2
C₁₃×#3097	2
C₁₃×#3096	2
C₁₃×#3095	2
C₁₃×#3094	2
C₁₃×#3082	2
C₁₃×#3081	2
C₁₃×#3057	2
C₂×C₁₃×#468	2
C₁₃×#2949	2
C₁₃×#2930	2
C₁₃×#2913	2
C₁₃×#2911	2
#61268	13

Subgroups — C13×#61268 #15747607

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61268 #15747607