Subgroups — C₁₃×#61273 #15747612

Order 3328.

1806 conjugacy classes of subgroups.

The subgroup lattice has 1132 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×#3492	C₂	1	1	yes	maximal, characteristic
3	C₁₃×#3353	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3352	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3349	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3346	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3344	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3343	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3338	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3337	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3164	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3098	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3097	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3091	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₃×#484	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3083	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3063	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3056	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2947	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2933	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2913	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#428	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	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	—
28	C₁₃×#554	—	2	1	no	—
29	C₁₃×#554	C₂²	1	2	yes	—
30	C₁₃×#554	C₂²	1	2	yes	—
31	C₁₃×#553	—	2	1	no	—
32	C₁₃×#553	C₂²	1	2	yes	—
33	C₁₃×#552	—	2	2	no	—
34	C₁₃×#552	—	2	1	no	—
35	C₁₃×#552	C₂²	1	2	yes	—
36	C₁₃×#552	C₂²	1	2	yes	—
37	C₁₃×#552	C₂²	1	2	yes	—
38	C₁₃×#551	—	2	2	no	—
39	C₁₃×#547	—	2	1	no	—
40	C₁₃×#547	C₂²	1	2	yes	—
41	C₁₃×#544	C₂²	1	1	yes	characteristic
42	C₁₃×#544	C₂²	1	1	yes	characteristic
43	C₁₃×#542	—	2	1	no	—
44	C₁₃×#541	—	2	1	no	—
45	C₁₃×#539	—	2	2	no	—
46	C₁₃×#537	C₂²	1	1	yes	characteristic
47	C₁₃×#536	C₂²	1	1	yes	characteristic
48	C₁₃×#533	—	2	1	no	—
49	C₁₃×#529	—	2	1	no	—
50	C₁₃×#525	—	2	2	no	—
51	C₁₃×#525	C₂²	1	1	yes	characteristic
52	C₁₃×#525	C₂²	1	1	yes	characteristic
53	C₂×C₁₃×C₂²⋊Q₈	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×#519	C₂²	1	1	yes	characteristic
58	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
59	C₂²×C₁₃×C₄⋊C₄	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	1	yes	characteristic
65	C₁₃×#485	C₂²	1	1	yes	characteristic
66	C₁₃×#485	C₂²	1	2	yes	complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#485	C₂²	1	2	yes	complemented
69	C₁₃×#484	C₂²	1	2	yes	—
70	C₁₃×#484	C₂²	1	1	yes	characteristic
71	C₁₃×#484	C₂²	1	2	yes	—
72	C₁₃×#484	C₂²	1	2	yes	—
73	C₁₃×#484	C₂²	1	2	yes	—
74	C₁₃×#484	C₂²	1	2	yes	complemented
75	C₁₃×#484	C₂²	1	2	yes	complemented
76	C₁₃×#483	C₂²	1	1	yes	characteristic
77	C₁₃×#483	C₂²	1	2	yes	complemented
78	C₁₃×#482	C₂²	1	1	yes	characteristic
79	C₁₃×#482	C₂²	1	1	yes	characteristic
80	C₁₃×#482	C₂²	1	2	yes	complemented
81	C₁₃×#481	C₂²	1	1	yes	characteristic
82	C₁₃×#480	C₂²	1	1	yes	characteristic
83	C₁₃×#480	C₂²	1	2	yes	complemented
84	C₁₃×#479	C₂²	1	2	yes	complemented
85	C₁₃×#479	C₂²	1	2	yes	complemented
86	C₁₃×#479	C₂²	1	2	yes	complemented
87	C₁₃×#478	C₂²	1	2	yes	complemented
88	C₁₃×#477	C₂²	1	2	yes	complemented
89	C₁₃×#477	C₂²	1	2	yes	complemented
90	C₁₃×#475	C₂²	1	2	yes	complemented
91	C₁₃×#474	C₂²	1	2	yes	complemented
92	C₁₃×#470	C₂²	1	2	yes	—
93	C₁₃×#470	C₂²	1	2	yes	complemented
94	C₁₃×#468	C₂²	1	2	yes	—
95	C₁₃×#468	C₂²	1	2	yes	complemented
96	C₁₃×#467	C₂²	1	2	yes	—
97	C₁₃×#467	C₂²	1	2	yes	complemented
98	C₁₃×#465	C₂²	1	2	yes	—
99	C₁₃×#465	C₂²	1	2	yes	complemented
100	C₁₃×#441	C₂²	1	2	yes	complemented
101	C₁₃×#440	C₂²	1	2	yes	complemented
102	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
103	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
104	C₁₃×#436	C₂²	1	2	yes	—
105	C₁₃×#435	C₂²	1	2	yes	—
106	C₁₃×#435	C₂²	1	2	yes	—
107	C₈×D₄×C₁₃	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	1	yes	characteristic
115	C₁₃×#428	C₂²	1	2	yes	complemented
116	C₁₃×#428	C₂²	1	2	yes	complemented
117	C₁₃×#427	C₂²	1	1	yes	characteristic
118	C₁₃×#427	C₂²	1	1	yes	characteristic
119	C₁₃×#427	C₂²	1	2	yes	complemented
120	C₂×C₁₃×#107	C₂²	1	2	yes	—
121	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
122	C₂×C₁₃×#107	C₂²	1	1	yes	characteristic
123	C₂×C₁₃×#107	C₂²	1	2	yes	complemented
124	C₂×C₁₃×#106	C₂²	1	2	yes	—
125	C₁₃×#424	C₂²	1	1	yes	characteristic
126	C₁₃×#419	C₂²	1	1	yes	characteristic
127	C₁₃×#417	C₂²	1	1	yes	characteristic
128	C₁₃×#416	C₂²	1	1	yes	characteristic
129	C₁₃×#416	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
131	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
132	C₁₃×#408	C₂²	1	1	yes	characteristic
133	C₂×C₁₃×C₂²⋊C₈	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	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	—	2	1	no	—
140	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₁₃×#137	—	2	4	no	—
142	C₂×C₁₃×Q₁₆	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	2	yes	—
148	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
150	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
153	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
154	C₁₃×C₄⋊Q₈	—	2	1	no	—
155	C₁₃×C₄⋊Q₈	—	2	1	no	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
158	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
159	C₁₃×#126	—	2	2	no	—
160	C₁₃×#126	—	2	2	no	—
161	C₁₃×#126	—	2	2	no	—
162	C₁₃×#126	—	2	2	no	—
163	C₁₃×#126	—	2	2	no	—
164	C₁₃×#126	—	2	2	no	—
165	C₁₃×#125	—	2	1	no	—
166	C₁₃×#125	—	2	2	no	—
167	C₁₃×#125	—	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	C₂³	1	2	yes	—
173	C₁₃×#125	C₂³	1	2	yes	—
174	C₁₃×#124	—	2	1	no	—
175	C₁₃×#124	—	2	2	no	—
176	C₁₃×#123	—	2	2	no	—
177	C₁₃×#123	—	2	2	no	—
178	C₁₃×#123	—	2	2	no	—
179	C₁₃×#123	—	2	2	no	—
180	C₁₃×#123	—	2	1	no	—
181	C₁₃×#123	—	2	2	no	—
182	C₁₃×#123	—	2	2	no	—
183	C₁₃×#123	—	2	2	no	—
184	C₁₃×#123	D₄	1	2	yes	—
185	C₁₃×C₂²⋊Q₈	—	2	1	no	—
186	C₁₃×C₂²⋊Q₈	—	2	1	no	—
187	C₁₃×C₂²⋊Q₈	—	2	1	no	—
188	C₁₃×C₂²⋊Q₈	—	2	2	no	—
189	C₁₃×C₂²⋊Q₈	—	2	2	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	1	yes	characteristic
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	1	yes	characteristic
204	C₁₃×#121	—	2	2	no	—
205	C₁₃×#121	—	2	2	no	—
206	C₁₃×#121	—	2	1	no	—
207	C₁₃×#121	D₄	1	1	yes	characteristic
208	C₁₃×#121	D₄	1	1	yes	characteristic
209	C₁₃×#121	C₂³	1	1	yes	characteristic
210	C₁₃×#121	C₂³	1	2	yes	—
211	C₁₃×#121	C₂³	1	1	yes	characteristic
212	C₁₃×#120	—	2	1	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×Q₈×C₁₃	C₂³	1	2	yes	—
222	C₄×D₄×C₁₃	—	2	2	no	—
223	C₄×D₄×C₁₃	—	2	1	no	—
224	C₄×D₄×C₁₃	—	2	1	no	—
225	C₄×D₄×C₁₃	—	2	2	no	—
226	C₄×D₄×C₁₃	—	2	2	no	—
227	C₄×D₄×C₁₃	—	2	2	no	—
228	C₄×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	2	no	—
231	C₄×D₄×C₁₃	—	2	2	no	—
232	C₄×D₄×C₁₃	C₂³	1	2	yes	—
233	C₄×D₄×C₁₃	C₂³	1	2	yes	—
234	C₄×D₄×C₁₃	C₂³	1	2	yes	—
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	2	yes	—
246	C₁₃×#117	C₂³	1	2	yes	—
247	C₁₃×#117	C₂³	1	1	yes	characteristic
248	C₁₃×#117	C₂³	1	1	yes	characteristic
249	C₁₃×#117	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
251	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
252	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
253	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
254	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
265	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
266	C₂×C₄²×C₁₃	—	2	1	no	—
267	C₁₃×#107	C₂³	1	2	yes	—
268	C₁₃×#107	C₂³	1	2	yes	—
269	C₁₃×#107	C₂³	1	2	yes	—
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	1	yes	characteristic
276	C₁₃×#107	C₂³	1	2	yes	—
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×#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	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	2	yes	—
289	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
290	C₁₃×C₄⋊C₈	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	1	yes	characteristic
296	C₁₃×#103	C₂³	1	1	yes	characteristic
297	C₁₃×#103	C₂³	1	1	yes	characteristic
298	C₁₃×#103	C₂³	1	1	yes	characteristic
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#103	C₂³	1	2	yes	—
301	C₁₃×#103	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	1	yes	characteristic
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	1	yes	characteristic
305	C₁₃×#102	C₂³	1	1	yes	characteristic
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
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	#61273	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
316	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
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	—	8	4	no	—
322	C₂×Q₈×C₁₃	—	2	1	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	—	2	2	no	—
327	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
328	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
329	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
330	C₂×D₄×C₁₃	—	2	1	no	—
331	C₂×D₄×C₁₃	—	2	1	no	—
332	C₂×D₄×C₁₃	—	2	1	no	—
333	C₂×D₄×C₁₃	—	2	2	no	—
334	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
335	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
336	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
337	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
338	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
339	C₂²×C₄×C₁₃	—	2	2	no	—
340	C₂²×C₄×C₁₃	—	2	2	no	—
341	C₂²×C₄×C₁₃	—	2	1	no	—
342	C₂²×C₄×C₁₃	—	2	1	no	—
343	C₂²×C₄×C₁₃	—	2	2	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	2	no	—
348	C₂²×C₄×C₁₃	—	2	1	no	—
349	C₂²×C₄×C₁₃	—	2	2	no	—
350	C₂²×C₄×C₁₃	—	2	2	no	—
351	C₂²×C₄×C₁₃	—	2	1	no	—
352	C₂²×C₄×C₁₃	—	2	2	no	—
353	C₂²×C₄×C₁₃	—	8	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	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₁₃×Q₁₆	—	2	4	no	—
362	C₁₃×SD₁₆	—	2	4	no	—
363	C₁₃×M₁₆	—	2	2	no	—
364	C₁₃×M₁₆	—	2	4	no	—
365	C₁₃×M₁₆	—	2	4	no	—
366	C₁₃×M₁₆	#41	1	4	yes	complemented
367	C₂×C₈×C₁₃	—	2	2	no	—
368	C₂×C₈×C₁₃	—	2	2	no	—
369	C₂×C₈×C₁₃	—	2	4	no	—
370	C₂×C₈×C₁₃	—	2	4	no	—
371	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
375	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
377	C₁₃×C₄⋊C₄	—	2	1	no	—
378	C₁₃×C₄⋊C₄	—	2	1	no	—
379	C₁₃×C₄⋊C₄	—	2	2	no	—
380	C₁₃×C₄⋊C₄	—	2	2	no	—
381	C₁₃×C₄⋊C₄	—	2	2	no	—
382	C₁₃×C₄⋊C₄	—	2	2	no	—
383	C₁₃×C₄⋊C₄	—	2	2	no	—
384	C₁₃×C₄⋊C₄	—	2	1	no	—
385	C₁₃×C₄⋊C₄	—	2	1	no	—
386	C₁₃×C₄⋊C₄	—	2	2	no	—
387	C₁₃×C₄⋊C₄	—	2	1	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	1	no	—
397	C₁₃×C₄⋊C₄	—	2	2	no	—
398	C₁₃×C₄⋊C₄	—	2	2	no	—
399	C₁₃×C₄⋊C₄	—	2	2	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
403	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
404	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
405	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
406	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
407	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
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	2	yes	—
414	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	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	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	1	no	—
432	C₁₃×C₂²⋊C₄	—	2	1	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	2	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	—	2	1	no	—
448	C₄²×C₁₃	C₂⁴	1	2	yes	—
449	#3495	C₂×C₁₃	1	1	yes	characteristic, complemented
450	#3492	C₂×C₁₃	1	1	yes	characteristic
451	#3353	C₂×C₁₃	1	2	yes	complemented
452	#3352	C₂×C₁₃	1	2	yes	complemented
453	#3349	C₂×C₁₃	1	2	yes	complemented
454	#3346	C₂×C₁₃	1	2	yes	complemented
455	#3344	C₂×C₁₃	1	2	yes	complemented
456	#3343	C₂×C₁₃	1	2	yes	complemented
457	#3338	C₂×C₁₃	1	2	yes	complemented
458	#3337	C₂×C₁₃	1	2	yes	complemented
459	#3164	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3098	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3097	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3091	C₂×C₁₃	1	1	yes	characteristic, complemented
463	C₂×#484	C₂×C₁₃	1	1	yes	characteristic, complemented
464	#3083	C₂×C₁₃	1	1	yes	characteristic, complemented
465	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3063	C₂×C₁₃	1	1	yes	characteristic, complemented
467	#3056	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#2947	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#2933	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#2913	C₂×C₁₃	1	1	yes	characteristic, complemented
471	C₂×#428	C₂×C₁₃	1	1	yes	characteristic, complemented
472	C₂³×C₁₃	—	2	2	no	—
473	C₂³×C₁₃	—	2	2	no	—
474	C₂³×C₁₃	—	2	1	no	—
475	C₂³×C₁₃	—	4	1	no	—
476	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
477	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
478	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
479	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
480	Q₈×C₁₃	—	2	2	no	—
481	Q₈×C₁₃	—	2	2	no	—
482	Q₈×C₁₃	—	2	1	no	—
483	Q₈×C₁₃	—	2	2	no	—
484	Q₈×C₁₃	—	2	1	no	—
485	Q₈×C₁₃	—	4	2	no	—
486	Q₈×C₁₃	—	8	2	no	—
487	Q₈×C₁₃	—	8	2	no	—
488	D₄×C₁₃	—	2	4	no	—
489	D₄×C₁₃	—	2	4	no	—
490	D₄×C₁₃	—	2	2	no	—
491	D₄×C₁₃	—	2	1	no	—
492	D₄×C₁₃	—	2	1	no	—
493	D₄×C₁₃	—	4	2	no	—
494	D₄×C₁₃	—	4	2	no	—
495	D₄×C₁₃	—	4	2	no	—
496	D₄×C₁₃	—	4	2	no	—
497	D₄×C₁₃	—	8	2	no	—
498	C₂×C₄×C₁₃	—	2	2	no	—
499	C₂×C₄×C₁₃	—	2	2	no	—
500	C₂×C₄×C₁₃	—	2	2	no	—
501	C₂×C₄×C₁₃	—	2	1	no	—
502	C₂×C₄×C₁₃	—	2	2	no	—
503	C₂×C₄×C₁₃	—	2	1	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	1	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	2	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	2	no	—
518	C₂×C₄×C₁₃	—	4	4	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	—	8	2	no	—
523	C₂×C₄×C₁₃	—	8	2	no	—
524	C₂×C₄×C₁₃	—	8	1	no	—
525	C₂×C₄×C₁₃	—	8	1	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	2	no	—
530	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
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	1	yes	characteristic
535	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
536	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
537	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
538	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
539	C₈×C₁₃	—	2	1	no	—
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	C₂×#41	1	4	yes	—
545	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
546	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
547	C₂²×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
548	#556	C₂²×C₁₃	1	2	yes	—
549	#554	—	2	1	no	—
550	#554	C₂²×C₁₃	1	2	yes	—
551	#554	C₂²×C₁₃	1	2	yes	—
552	#553	—	2	1	no	—
553	#553	C₂²×C₁₃	1	2	yes	—
554	#552	—	2	2	no	—
555	#552	—	2	1	no	—
556	#552	C₂²×C₁₃	1	2	yes	—
557	#552	C₂²×C₁₃	1	2	yes	—
558	#552	C₂²×C₁₃	1	2	yes	—
559	#551	—	2	2	no	—
560	#547	—	2	1	no	—
561	#547	C₂²×C₁₃	1	2	yes	—
562	#544	C₂²×C₁₃	1	1	yes	characteristic
563	#544	C₂²×C₁₃	1	1	yes	characteristic
564	#542	—	2	1	no	—
565	#541	—	2	1	no	—
566	#539	—	2	2	no	—
567	#537	C₂²×C₁₃	1	1	yes	characteristic
568	#536	C₂²×C₁₃	1	1	yes	characteristic
569	#533	—	2	1	no	—
570	#529	—	2	1	no	—
571	#525	—	2	2	no	—
572	#525	C₂²×C₁₃	1	1	yes	characteristic
573	#525	C₂²×C₁₃	1	1	yes	characteristic
574	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
575	#520	C₂²×C₁₃	1	1	yes	characteristic
576	#520	C₂²×C₁₃	1	1	yes	characteristic
577	#520	C₂²×C₁₃	1	1	yes	characteristic
578	#519	C₂²×C₁₃	1	1	yes	characteristic
579	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
580	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
581	#501	C₂²×C₁₃	1	2	yes	complemented
582	#501	C₂²×C₁₃	1	2	yes	complemented
583	#500	C₂²×C₁₃	1	2	yes	complemented
584	#499	C₂²×C₁₃	1	2	yes	complemented
585	#485	C₂²×C₁₃	1	1	yes	characteristic
586	#485	C₂²×C₁₃	1	1	yes	characteristic
587	#485	C₂²×C₁₃	1	2	yes	complemented
588	#485	C₂²×C₁₃	1	2	yes	complemented
589	#485	C₂²×C₁₃	1	2	yes	complemented
590	#484	C₂²×C₁₃	1	2	yes	—
591	#484	C₂²×C₁₃	1	1	yes	characteristic
592	#484	C₂²×C₁₃	1	2	yes	—
593	#484	C₂²×C₁₃	1	2	yes	—
594	#484	C₂²×C₁₃	1	2	yes	—
595	#484	C₂²×C₁₃	1	2	yes	complemented
596	#484	C₂²×C₁₃	1	2	yes	complemented
597	#483	C₂²×C₁₃	1	1	yes	characteristic
598	#483	C₂²×C₁₃	1	2	yes	complemented
599	#482	C₂²×C₁₃	1	1	yes	characteristic
600	#482	C₂²×C₁₃	1	1	yes	characteristic
601	#482	C₂²×C₁₃	1	2	yes	complemented
602	#481	C₂²×C₁₃	1	1	yes	characteristic
603	#480	C₂²×C₁₃	1	1	yes	characteristic
604	#480	C₂²×C₁₃	1	2	yes	complemented
605	#479	C₂²×C₁₃	1	2	yes	complemented
606	#479	C₂²×C₁₃	1	2	yes	complemented
607	#479	C₂²×C₁₃	1	2	yes	complemented
608	#478	C₂²×C₁₃	1	2	yes	complemented
609	#477	C₂²×C₁₃	1	2	yes	complemented
610	#477	C₂²×C₁₃	1	2	yes	complemented
611	#475	C₂²×C₁₃	1	2	yes	complemented
612	#474	C₂²×C₁₃	1	2	yes	complemented
613	#470	C₂²×C₁₃	1	2	yes	—
614	#470	C₂²×C₁₃	1	2	yes	complemented
615	#468	C₂²×C₁₃	1	2	yes	—
616	#468	C₂²×C₁₃	1	2	yes	complemented
617	#467	C₂²×C₁₃	1	2	yes	—
618	#467	C₂²×C₁₃	1	2	yes	complemented
619	#465	C₂²×C₁₃	1	2	yes	—
620	#465	C₂²×C₁₃	1	2	yes	complemented
621	#441	C₂²×C₁₃	1	2	yes	complemented
622	#440	C₂²×C₁₃	1	2	yes	complemented
623	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
624	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
625	#436	C₂²×C₁₃	1	2	yes	—
626	#435	C₂²×C₁₃	1	2	yes	—
627	#435	C₂²×C₁₃	1	2	yes	—
628	C₈×D₄	C₂²×C₁₃	1	2	yes	—
629	#428	C₂²×C₁₃	1	1	yes	characteristic
630	#428	C₂²×C₁₃	1	1	yes	characteristic
631	#428	C₂²×C₁₃	1	2	yes	—
632	#428	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	2	yes	complemented
637	#428	C₂²×C₁₃	1	2	yes	complemented
638	#427	C₂²×C₁₃	1	1	yes	characteristic
639	#427	C₂²×C₁₃	1	1	yes	characteristic
640	#427	C₂²×C₁₃	1	2	yes	complemented
641	C₂×#107	C₂²×C₁₃	1	2	yes	—
642	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
643	C₂×#107	C₂²×C₁₃	1	1	yes	characteristic
644	C₂×#107	C₂²×C₁₃	1	2	yes	complemented
645	C₂×#106	C₂²×C₁₃	1	2	yes	—
646	#424	C₂²×C₁₃	1	1	yes	characteristic
647	#419	C₂²×C₁₃	1	1	yes	characteristic
648	#417	C₂²×C₁₃	1	1	yes	characteristic
649	#416	C₂²×C₁₃	1	1	yes	characteristic
650	#416	C₂²×C₁₃	1	1	yes	characteristic
651	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
652	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
653	#408	C₂²×C₁₃	1	1	yes	characteristic
654	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
655	#405	C₂²×C₁₃	1	1	yes	characteristic
656	C₂²×C₁₃	—	2	1	no	—
657	C₂²×C₁₃	—	2	1	no	—
658	C₂²×C₁₃	—	2	1	no	—
659	C₂²×C₁₃	—	2	1	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	—	2	2	no	—
665	C₂²×C₁₃	—	2	1	no	—
666	C₂²×C₁₃	—	4	4	no	—
667	C₂²×C₁₃	—	4	1	no	—
668	C₂²×C₁₃	—	4	1	no	—
669	C₂²×C₁₃	—	4	1	no	—
670	C₂²×C₁₃	#547	1	2	yes	—
671	C₂²×C₁₃	#578	1	2	yes	—
672	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
673	C₄×C₁₃	—	2	2	no	—
674	C₄×C₁₃	—	2	1	no	—
675	C₄×C₁₃	—	2	1	no	—
676	C₄×C₁₃	—	2	2	no	—
677	C₄×C₁₃	—	2	2	no	—
678	C₄×C₁₃	—	4	2	no	—
679	C₄×C₁₃	—	4	2	no	—
680	C₄×C₁₃	—	4	1	no	—
681	C₄×C₁₃	—	4	1	no	—
682	C₄×C₁₃	—	4	2	no	—
683	C₄×C₁₃	—	4	1	no	—
684	C₄×C₁₃	—	4	1	no	—
685	C₄×C₁₃	—	4	2	no	—
686	C₄×C₁₃	—	4	1	no	—
687	C₄×C₁₃	—	4	1	no	—
688	C₄×C₁₃	—	4	1	no	—
689	C₄×C₁₃	#547	1	2	yes	—
690	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
691	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
692	C₂×#41	—	2	2	no	—
693	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
694	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
695	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
696	C₂³×C₄	—	2	1	no	—
697	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
698	#137	—	2	4	no	—
699	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
700	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
701	#131	—	2	4	no	—
702	C₂×M₁₆	—	2	4	no	—
703	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
704	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
705	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
706	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
707	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
708	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
709	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
710	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
711	C₄⋊Q₈	—	2	1	no	—
712	C₄⋊Q₈	—	2	1	no	—
713	C₄⋊Q₈	—	2	1	no	—
714	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
715	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
716	#126	—	2	2	no	—
717	#126	—	2	2	no	—
718	#126	—	2	2	no	—
719	#126	—	2	2	no	—
720	#126	—	2	2	no	—
721	#126	—	2	2	no	—
722	#125	—	2	1	no	—
723	#125	—	2	2	no	—
724	#125	—	2	2	no	—
725	#125	—	2	2	no	—
726	#125	—	2	2	no	—
727	#125	—	2	2	no	—
728	#125	—	2	1	no	—
729	#125	C₂³×C₁₃	1	2	yes	—
730	#125	C₂³×C₁₃	1	2	yes	—
731	#124	—	2	1	no	—
732	#124	—	2	2	no	—
733	#123	—	2	2	no	—
734	#123	—	2	2	no	—
735	#123	—	2	2	no	—
736	#123	—	2	2	no	—
737	#123	—	2	1	no	—
738	#123	—	2	2	no	—
739	#123	—	2	2	no	—
740	#123	—	2	2	no	—
741	#123	D₄×C₁₃	1	2	yes	—
742	C₂²⋊Q₈	—	2	1	no	—
743	C₂²⋊Q₈	—	2	1	no	—
744	C₂²⋊Q₈	—	2	1	no	—
745	C₂²⋊Q₈	—	2	2	no	—
746	C₂²⋊Q₈	—	2	2	no	—
747	C₂²⋊Q₈	—	2	2	no	—
748	C₂²⋊Q₈	—	2	2	no	—
749	C₂²⋊Q₈	—	2	2	no	—
750	C₂²⋊Q₈	—	2	2	no	—
751	C₂²⋊Q₈	—	2	2	no	—
752	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
753	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
754	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
755	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
756	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
757	C₂²⋊Q₈	C₂³×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	#121	—	2	2	no	—
762	#121	—	2	2	no	—
763	#121	—	2	1	no	—
764	#121	D₄×C₁₃	1	1	yes	characteristic
765	#121	D₄×C₁₃	1	1	yes	characteristic
766	#121	C₂³×C₁₃	1	1	yes	characteristic
767	#121	C₂³×C₁₃	1	1	yes	characteristic
768	#121	C₂³×C₁₃	1	2	yes	—
769	#120	—	2	1	no	—
770	#120	D₄×C₁₃	1	2	yes	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	—	2	1	no	—
773	C₄×Q₈	—	2	1	no	—
774	C₄×Q₈	—	2	1	no	—
775	C₄×Q₈	—	2	2	no	—
776	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
777	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
778	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
779	C₄×D₄	—	2	2	no	—
780	C₄×D₄	—	2	1	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	2	2	no	—
783	C₄×D₄	—	2	2	no	—
784	C₄×D₄	—	2	2	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	C₂³×C₁₃	1	2	yes	—
790	C₄×D₄	C₂³×C₁₃	1	2	yes	—
791	C₄×D₄	C₂³×C₁₃	1	2	yes	—
792	#117	—	2	1	no	—
793	#117	—	2	1	no	—
794	#117	—	2	1	no	—
795	#117	—	2	2	no	—
796	#117	—	2	2	no	—
797	#117	—	2	2	no	—
798	#117	—	2	2	no	—
799	#117	C₂³×C₁₃	1	1	yes	characteristic
800	#117	C₂³×C₁₃	1	1	yes	characteristic
801	#117	C₂³×C₁₃	1	1	yes	characteristic
802	#117	C₂³×C₁₃	1	1	yes	characteristic
803	#117	C₂³×C₁₃	1	1	yes	characteristic
804	#117	C₂³×C₁₃	1	2	yes	—
805	#117	C₂³×C₁₃	1	2	yes	—
806	#117	C₂³×C₁₃	1	1	yes	characteristic
807	C₂×C₄⋊C₄	—	2	1	no	—
808	C₂×C₄⋊C₄	—	2	1	no	—
809	C₂×C₄⋊C₄	—	2	1	no	—
810	C₂×C₄⋊C₄	—	2	1	no	—
811	C₂×C₄⋊C₄	—	2	1	no	—
812	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
813	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
814	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
815	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
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	2	yes	—
820	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
821	C₂×C₂²⋊C₄	—	2	1	no	—
822	C₂×C₂²⋊C₄	—	2	1	no	—
823	C₂×C₄²	—	2	1	no	—
824	#107	C₂³×C₁₃	1	2	yes	—
825	#107	C₂³×C₁₃	1	2	yes	—
826	#107	C₂³×C₁₃	1	2	yes	—
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	#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	1	yes	characteristic
835	#107	C₂³×C₁₃	1	1	yes	characteristic
836	#107	C₂³×C₁₃	1	1	yes	characteristic
837	#106	C₂³×C₁₃	1	2	yes	—
838	#106	C₂³×C₁₃	1	2	yes	—
839	#106	C₂³×C₁₃	1	2	yes	—
840	#106	C₂³×C₁₃	1	2	yes	—
841	#106	C₂³×C₁₃	1	1	yes	characteristic
842	#106	C₂³×C₁₃	1	1	yes	characteristic
843	#106	C₂³×C₁₃	1	1	yes	characteristic
844	#106	C₂³×C₁₃	1	1	yes	characteristic
845	#106	C₂³×C₁₃	1	2	yes	—
846	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
847	C₄⋊C₈	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	1	yes	characteristic
853	#103	C₂³×C₁₃	1	1	yes	characteristic
854	#103	C₂³×C₁₃	1	1	yes	characteristic
855	#103	C₂³×C₁₃	1	1	yes	characteristic
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	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
865	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
866	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
867	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
868	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
869	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
870	#97	C₂³×C₁₃	1	2	yes	—
871	C₄×C₈	C₂³×C₁₃	1	2	yes	—
872	C₂×C₁₃	—	2	2	no	—
873	C₂×C₁₃	—	2	2	no	—
874	C₂×C₁₃	—	4	2	no	—
875	C₂×C₁₃	—	4	1	no	—
876	C₂×C₁₃	—	8	1	no	—
877	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
878	C₂×C₁₃	C₂×#578	1	1	yes	characteristic
879	C₂×C₁₃	#3585	1	1	yes	characteristic
880	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
881	#41	—	2	2	no	—
882	#41	—	2	2	no	—
883	#41	—	2	2	no	—
884	#41	—	2	2	no	—
885	#41	—	8	4	no	—
886	C₂×Q₈	—	2	1	no	—
887	C₂×Q₈	—	2	2	no	—
888	C₂×Q₈	—	2	2	no	—
889	C₂×Q₈	—	2	2	no	—
890	C₂×Q₈	—	2	2	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×D₄	—	2	1	no	—
895	C₂×D₄	—	2	1	no	—
896	C₂×D₄	—	2	1	no	—
897	C₂×D₄	—	2	2	no	—
898	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
899	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
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	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	1	no	—
906	C₂²×C₄	—	2	1	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	1	no	—
909	C₂²×C₄	—	2	1	no	—
910	C₂²×C₄	—	2	1	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	8	2	no	—
918	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
919	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
920	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
921	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
922	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
923	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
924	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
925	Q₁₆	—	2	4	no	—
926	SD₁₆	—	2	4	no	—
927	M₁₆	—	2	2	no	—
928	M₁₆	—	2	4	no	—
929	M₁₆	—	2	4	no	—
930	M₁₆	C₁₃×#41	1	4	yes	complemented
931	C₂×C₈	—	2	2	no	—
932	C₂×C₈	—	2	2	no	—
933	C₂×C₈	—	2	4	no	—
934	C₂×C₈	—	2	4	no	—
935	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
936	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
937	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
938	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
939	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
940	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
941	C₄⋊C₄	—	2	1	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	1	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	2	no	—
951	C₄⋊C₄	—	2	1	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	2	no	—
957	C₄⋊C₄	—	2	2	no	—
958	C₄⋊C₄	—	2	2	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	2	no	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	2	no	—
966	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
967	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
968	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
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	1	yes	characteristic
976	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
977	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
978	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₂²⋊C₄	—	2	1	no	—
980	C₂²⋊C₄	—	2	1	no	—
981	C₂²⋊C₄	—	2	1	no	—
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	2	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	2	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	2	1	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	1	no	—
996	C₂²⋊C₄	—	2	1	no	—
997	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
998	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
999	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1000	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1001	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1002	C₄²	—	2	1	no	—
1003	C₄²	—	2	1	no	—
1004	C₄²	—	2	1	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	—	2	2	no	—
1008	C₄²	—	2	2	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	2	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	C₂⁴×C₁₃	1	2	yes	—
1013	C₁₃	#61273	1	1	yes	characteristic, direct product factor, Sylow
1014	C₂³	—	2	2	no	—
1015	C₂³	—	2	2	no	—
1016	C₂³	—	2	1	no	—
1017	C₂³	—	4	1	no	—
1018	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1019	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1020	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1021	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1022	Q₈	—	2	2	no	—
1023	Q₈	—	2	2	no	—
1024	Q₈	—	2	1	no	—
1025	Q₈	—	2	2	no	—
1026	Q₈	—	2	1	no	—
1027	Q₈	—	4	2	no	—
1028	Q₈	—	8	2	no	—
1029	Q₈	—	8	2	no	—
1030	D₄	—	2	4	no	—
1031	D₄	—	2	4	no	—
1032	D₄	—	2	2	no	—
1033	D₄	—	2	1	no	—
1034	D₄	—	2	1	no	—
1035	D₄	—	4	2	no	—
1036	D₄	—	4	2	no	—
1037	D₄	—	4	2	no	—
1038	D₄	—	4	2	no	—
1039	D₄	—	8	2	no	—
1040	C₂×C₄	—	2	2	no	—
1041	C₂×C₄	—	2	2	no	—
1042	C₂×C₄	—	2	2	no	—
1043	C₂×C₄	—	2	1	no	—
1044	C₂×C₄	—	2	2	no	—
1045	C₂×C₄	—	2	1	no	—
1046	C₂×C₄	—	2	1	no	—
1047	C₂×C₄	—	2	1	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	2	no	—
1060	C₂×C₄	—	4	4	no	—
1061	C₂×C₄	—	4	2	no	—
1062	C₂×C₄	—	4	2	no	—
1063	C₂×C₄	—	4	2	no	—
1064	C₂×C₄	—	8	2	no	—
1065	C₂×C₄	—	8	1	no	—
1066	C₂×C₄	—	8	2	no	—
1067	C₂×C₄	—	8	1	no	—
1068	C₂×C₄	—	8	2	no	—
1069	C₂×C₄	—	8	1	no	—
1070	C₂×C₄	—	8	1	no	—
1071	C₂×C₄	—	8	2	no	—
1072	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1073	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1074	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1075	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1076	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1077	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1078	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1079	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1080	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1081	C₈	—	2	1	no	—
1082	C₈	—	2	1	no	—
1083	C₈	—	2	2	no	—
1084	C₈	—	2	1	no	—
1085	C₈	—	2	1	no	—
1086	C₈	C₂×C₁₃×#41	1	4	yes	—
1087	C₂²	—	2	1	no	—
1088	C₂²	—	2	1	no	—
1089	C₂²	—	2	1	no	—
1090	C₂²	—	2	1	no	—
1091	C₂²	—	2	2	no	—
1092	C₂²	—	2	1	no	—
1093	C₂²	—	2	1	no	—
1094	C₂²	—	2	2	no	—
1095	C₂²	—	2	1	no	—
1096	C₂²	—	2	2	no	—
1097	C₂²	—	4	4	no	—
1098	C₂²	—	4	1	no	—
1099	C₂²	—	4	1	no	—
1100	C₂²	—	4	1	no	—
1101	C₂²	C₁₃×#547	1	2	yes	—
1102	C₂²	C₁₃×#578	1	2	yes	—
1103	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1104	C₄	—	2	2	no	—
1105	C₄	—	2	2	no	—
1106	C₄	—	2	1	no	—
1107	C₄	—	2	1	no	—
1108	C₄	—	2	2	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	—	4	1	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	2	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	2	no	—
1120	C₄	C₁₃×#547	1	2	yes	—
1121	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1122	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1123	C₂	—	2	2	no	—
1124	C₂	—	2	2	no	—
1125	C₂	—	4	1	no	—
1126	C₂	—	4	2	no	—
1127	C₂	—	8	1	no	—
1128	C₂	C₂×C₁₃×#547	1	1	yes	characteristic
1129	C₂	C₂×C₁₃×#578	1	1	yes	characteristic
1130	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
prime radical	C₁₃×#3492	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×#3353	C₂	semidirect
4. C₁₃×#3352	C₂	semidirect
5. C₁₃×#3349	C₂	semidirect
6. C₁₃×#3346	C₂	semidirect
7. C₁₃×#3344	C₂	semidirect
8. C₁₃×#3343	C₂	semidirect
9. C₁₃×#3338	C₂	semidirect
10. C₁₃×#3337	C₂	semidirect
11. C₁₃×#3164	C₂	semidirect
12. C₁₃×#3098	C₂	semidirect
13. C₁₃×#3097	C₂	semidirect
14. C₁₃×#3091	C₂	semidirect
15. C₂×C₁₃×#484	C₂	semidirect
16. C₁₃×#3083	C₂	semidirect
17. C₁₃×#3082	C₂	semidirect
18. C₁₃×#3063	C₂	semidirect
19. C₁₃×#3056	C₂	semidirect
20. C₁₃×#2947	C₂	semidirect
21. C₁₃×#2933	C₂	semidirect
22. C₁₃×#2913	C₂	semidirect
23. C₂×C₁₃×#428	C₂	semidirect
60. C₁₃×#501	C₂²	semidirect
61. C₁₃×#501	C₂²	semidirect
62. C₁₃×#500	C₂²	semidirect
63. C₁₃×#499	C₂²	semidirect
66. C₁₃×#485	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
68. C₁₃×#485	C₂²	semidirect
74. C₁₃×#484	C₂²	semidirect
75. C₁₃×#484	C₂²	semidirect
77. C₁₃×#483	C₂²	semidirect
80. C₁₃×#482	C₂²	semidirect
83. C₁₃×#480	C₂²	semidirect
84. C₁₃×#479	C₂²	semidirect
85. C₁₃×#479	C₂²	semidirect
86. C₁₃×#479	C₂²	semidirect
87. C₁₃×#478	C₂²	semidirect
88. C₁₃×#477	C₂²	semidirect
89. C₁₃×#477	C₂²	semidirect
90. C₁₃×#475	C₂²	semidirect
91. C₁₃×#474	C₂²	semidirect
93. C₁₃×#470	C₂²	semidirect
95. C₁₃×#468	C₂²	semidirect
97. C₁₃×#467	C₂²	semidirect
99. C₁₃×#465	C₂²	semidirect
100. C₁₃×#441	C₂²	semidirect
101. C₁₃×#440	C₂²	semidirect
102. C₄×C₁₃×Q₁₆	C₂²	semidirect
103. C₄×C₁₃×SD₁₆	C₂²	semidirect
115. C₁₃×#428	C₂²	semidirect
116. C₁₃×#428	C₂²	semidirect
119. C₁₃×#427	C₂²	semidirect
123. C₂×C₁₃×#107	C₂²	semidirect
315. #61273	C₁₃	direct (N × H)
366. C₁₃×M₁₆	#41	semidirect
449. #3495	C₂×C₁₃	semidirect
451. #3353	C₂×C₁₃	semidirect
452. #3352	C₂×C₁₃	semidirect
453. #3349	C₂×C₁₃	semidirect
454. #3346	C₂×C₁₃	semidirect
455. #3344	C₂×C₁₃	semidirect
456. #3343	C₂×C₁₃	semidirect
457. #3338	C₂×C₁₃	semidirect
458. #3337	C₂×C₁₃	semidirect
459. #3164	C₂×C₁₃	semidirect
460. #3098	C₂×C₁₃	semidirect
461. #3097	C₂×C₁₃	semidirect
462. #3091	C₂×C₁₃	semidirect
463. C₂×#484	C₂×C₁₃	semidirect
464. #3083	C₂×C₁₃	semidirect
465. #3082	C₂×C₁₃	semidirect
466. #3063	C₂×C₁₃	semidirect
467. #3056	C₂×C₁₃	semidirect
468. #2947	C₂×C₁₃	semidirect
469. #2933	C₂×C₁₃	semidirect
470. #2913	C₂×C₁₃	semidirect
471. C₂×#428	C₂×C₁₃	semidirect
581. #501	C₂²×C₁₃	semidirect
582. #501	C₂²×C₁₃	semidirect
583. #500	C₂²×C₁₃	semidirect
584. #499	C₂²×C₁₃	semidirect
587. #485	C₂²×C₁₃	semidirect
588. #485	C₂²×C₁₃	semidirect
589. #485	C₂²×C₁₃	semidirect
595. #484	C₂²×C₁₃	semidirect
596. #484	C₂²×C₁₃	semidirect
598. #483	C₂²×C₁₃	semidirect
601. #482	C₂²×C₁₃	semidirect
604. #480	C₂²×C₁₃	semidirect
605. #479	C₂²×C₁₃	semidirect
606. #479	C₂²×C₁₃	semidirect
607. #479	C₂²×C₁₃	semidirect
608. #478	C₂²×C₁₃	semidirect
609. #477	C₂²×C₁₃	semidirect
610. #477	C₂²×C₁₃	semidirect
611. #475	C₂²×C₁₃	semidirect
612. #474	C₂²×C₁₃	semidirect
614. #470	C₂²×C₁₃	semidirect
616. #468	C₂²×C₁₃	semidirect
618. #467	C₂²×C₁₃	semidirect
620. #465	C₂²×C₁₃	semidirect
621. #441	C₂²×C₁₃	semidirect
622. #440	C₂²×C₁₃	semidirect
623. C₄×Q₁₆	C₂²×C₁₃	semidirect
624. C₄×SD₁₆	C₂²×C₁₃	semidirect
636. #428	C₂²×C₁₃	semidirect
637. #428	C₂²×C₁₃	semidirect
640. #427	C₂²×C₁₃	semidirect
644. C₂×#107	C₂²×C₁₃	semidirect
930. M₁₆	C₁₃×#41	semidirect
1013. C₁₃	#61273	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×#3492	2
C₁₃×#3353	2
C₁₃×#3352	2
C₁₃×#3349	2
C₁₃×#3346	2
C₁₃×#3344	2
C₁₃×#3343	2
C₁₃×#3338	2
C₁₃×#3337	2
C₁₃×#3164	2
C₁₃×#3098	2
C₁₃×#3097	2
C₁₃×#3091	2
C₂×C₁₃×#484	2
C₁₃×#3083	2
C₁₃×#3082	2
C₁₃×#3063	2
C₁₃×#3056	2
C₁₃×#2947	2
C₁₃×#2933	2
C₁₃×#2913	2
C₂×C₁₃×#428	2
#61273	13

Subgroups — C13×#61273 #15747612

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61273 #15747612