Subgroups — C₁₃×#60927 #15747266

Order 3328.

1772 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×#3510	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3263	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3262	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3258	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3258	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3256	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3252	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3250	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3248	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3081	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3078	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3076	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3063	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic
17	C₁₃×#3059	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3057	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3044	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3042	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3040	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#464	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2906	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
25	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic
27	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
30	C₁₃×#559	—	2	1	no	—
31	C₁₃×#559	—	2	1	no	—
32	C₁₃×#556	—	2	1	no	—
33	C₁₃×#556	—	2	1	no	—
34	C₁₃×#551	—	2	2	no	—
35	C₁₃×#551	—	2	2	no	—
36	C₁₃×#544	C₂²	1	1	yes	characteristic
37	C₁₃×#542	—	2	1	no	—
38	C₁₃×#542	C₂²	1	2	yes	—
39	C₁₃×#542	C₂²	1	2	yes	—
40	C₁₃×#542	C₂²	1	2	yes	complemented
41	C₁₃×#541	—	2	1	no	—
42	C₁₃×#541	C₂²	1	2	yes	complemented
43	C₁₃×#539	—	2	2	no	—
44	C₁₃×#537	C₂²	1	1	yes	characteristic
45	C₁₃×#536	C₂²	1	1	yes	characteristic
46	C₁₃×#536	C₂²	1	1	yes	characteristic
47	C₁₃×#536	C₂²	1	1	yes	characteristic
48	C₁₃×#535	C₂²	1	1	yes	characteristic
49	C₁₃×#533	—	2	1	no	—
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#533	C₂²	1	2	yes	complemented
52	C₁₃×#529	—	2	2	no	—
53	C₁₃×#529	—	2	1	no	—
54	C₁₃×#529	C₂²	1	2	yes	—
55	C₁₃×#529	C₂²	1	2	yes	—
56	C₁₃×#529	C₂²	1	2	yes	complemented
57	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
58	C₁₃×#519	C₂²	1	1	yes	characteristic
59	C₁₃×#518	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
61	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
62	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
63	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#479	C₂²	1	2	yes	complemented
66	C₁₃×#479	C₂²	1	2	yes	complemented
67	C₁₃×#479	C₂²	1	2	yes	complemented
68	C₁₃×#479	C₂²	1	2	yes	complemented
69	C₁₃×#478	C₂²	1	2	yes	—
70	C₁₃×#478	C₂²	1	2	yes	—
71	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#477	C₂²	1	2	yes	complemented
74	C₁₃×#477	C₂²	1	2	yes	complemented
75	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#476	C₂²	1	2	yes	—
77	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#475	C₂²	1	2	yes	complemented
79	C₁₃×#475	C₂²	1	2	yes	complemented
80	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#474	C₂²	1	2	yes	—
82	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#470	C₂²	1	2	yes	complemented
84	C₁₃×#470	C₂²	1	2	yes	complemented
85	C₁₃×#470	C₂²	1	2	yes	complemented
86	C₁₃×#469	C₂²	1	2	yes	—
87	C₁₃×#468	C₂²	1	2	yes	—
88	C₁₃×#468	C₂²	1	2	yes	—
89	C₁₃×#468	C₂²	1	2	yes	—
90	C₁₃×#468	C₂²	1	2	yes	complemented
91	C₁₃×#467	C₂²	1	2	yes	complemented
92	C₁₃×#467	C₂²	1	2	yes	complemented
93	C₁₃×#467	C₂²	1	2	yes	complemented
94	C₁₃×#466	C₂²	1	2	yes	—
95	C₁₃×#465	C₂²	1	2	yes	—
96	C₁₃×#465	C₂²	1	2	yes	—
97	C₁₃×#465	C₂²	1	2	yes	—
98	C₁₃×#465	C₂²	1	2	yes	complemented
99	C₁₃×#464	C₂²	1	2	yes	—
100	C₁₃×#464	C₂²	1	2	yes	—
101	C₁₃×#464	C₂²	1	2	yes	—
102	C₁₃×#464	C₂²	1	2	yes	—
103	C₁₃×#464	C₂²	1	2	yes	—
104	C₁₃×#464	C₂²	1	2	yes	—
105	C₁₃×#464	C₂²	1	2	yes	complemented
106	C₁₃×#464	C₂²	1	2	yes	complemented
107	C₁₃×#463	C₂²	1	2	yes	—
108	C₁₃×#463	C₂²	1	2	yes	—
109	C₁₃×#463	C₂²	1	2	yes	—
110	C₁₃×#463	C₂²	1	2	yes	—
111	C₁₃×#462	C₂²	1	2	yes	complemented
112	C₁₃×#462	C₂²	1	2	yes	complemented
113	C₁₃×#461	C₂²	1	2	yes	—
114	C₁₃×#461	C₂²	1	2	yes	—
115	C₁₃×#428	C₂²	1	1	yes	characteristic
116	C₁₃×#428	C₂²	1	1	yes	characteristic
117	C₁₃×#427	C₂²	1	1	yes	characteristic
118	C₁₃×#427	C₂²	1	1	yes	characteristic
119	C₁₃×#424	C₂²	1	1	yes	characteristic
120	C₁₃×#424	C₂²	1	1	yes	characteristic
121	C₁₃×#424	C₂²	1	2	yes	complemented
122	C₁₃×#424	C₂²	1	2	yes	complemented
123	C₁₃×#423	C₂²	1	1	yes	characteristic
124	C₁₃×#423	C₂²	1	2	yes	complemented
125	C₂×C₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic
126	C₂×C₁₃×C₄⋊C₈	C₂²	1	2	yes	complemented
127	C₁₃×#419	C₂²	1	1	yes	characteristic
128	C₁₃×#419	C₂²	1	1	yes	characteristic
129	C₁₃×#419	C₂²	1	1	yes	characteristic
130	C₁₃×#418	C₂²	1	1	yes	characteristic
131	C₁₃×#416	C₂²	1	1	yes	characteristic
132	C₁₃×#416	C₂²	1	1	yes	characteristic
133	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
134	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
135	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
138	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₁₃×#137	—	4	2	no	—
141	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
142	C₂×C₁₃×Q₁₆	—	4	2	no	—
143	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×SD₁₆	—	4	2	no	—
147	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×D₈	C₂³	1	2	yes	—
152	C₁₃×#131	—	4	2	no	—
153	C₁₃×#131	—	4	2	no	—
154	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
155	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
156	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
157	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
158	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
159	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
160	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
161	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
162	C₁₃×C₄⋊Q₈	—	2	1	no	—
163	C₁₃×C₄⋊Q₈	—	2	1	no	—
164	C₁₃×C₄⋊Q₈	—	2	1	no	—
165	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
166	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
167	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
169	C₁₃×#127	—	2	1	no	—
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	—	2	2	no	—
174	C₁₃×#126	—	2	2	no	—
175	C₁₃×#126	—	2	2	no	—
176	C₁₃×#126	—	2	2	no	—
177	C₁₃×#126	—	2	2	no	—
178	C₁₃×#125	—	2	2	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	—	2	2	no	—
181	C₁₃×#125	—	2	2	no	—
182	C₁₃×#125	C₂³	1	2	yes	—
183	C₁₃×#125	C₂³	1	1	yes	characteristic
184	C₁₃×#125	C₂³	1	1	yes	characteristic
185	C₁₃×#124	—	2	1	no	—
186	C₁₃×#124	—	2	1	no	—
187	C₁₃×#124	—	2	1	no	—
188	C₁₃×#124	—	2	2	no	—
189	C₁₃×#124	—	2	2	no	—
190	C₁₃×#124	—	2	2	no	—
191	C₁₃×#124	—	2	1	no	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	C₂³	1	2	yes	—
194	C₁₃×#124	C₂³	1	2	yes	—
195	C₁₃×#124	C₂³	1	2	yes	—
196	C₁₃×#123	—	2	2	no	—
197	C₁₃×#123	—	2	2	no	—
198	C₁₃×#123	—	2	2	no	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×C₂²⋊Q₈	—	2	1	no	—
206	C₁₃×C₂²⋊Q₈	—	2	1	no	—
207	C₁₃×C₂²⋊Q₈	—	2	1	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	—	2	1	no	—
211	C₁₃×C₂²⋊Q₈	—	2	2	no	—
212	C₁₃×C₂²⋊Q₈	—	2	2	no	—
213	C₁₃×C₂²⋊Q₈	—	2	2	no	—
214	C₁₃×C₂²⋊Q₈	—	2	2	no	—
215	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
216	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	1	no	—
222	C₁₃×#121	C₂³	1	2	yes	—
223	C₁₃×#121	C₂³	1	2	yes	—
224	C₁₃×#121	C₂³	1	2	yes	—
225	C₁₃×#120	—	2	2	no	—
226	C₄×Q₈×C₁₃	—	2	1	no	—
227	C₄×Q₈×C₁₃	—	2	1	no	—
228	C₄×Q₈×C₁₃	—	2	1	no	—
229	C₄×Q₈×C₁₃	—	2	1	no	—
230	C₄×Q₈×C₁₃	—	2	2	no	—
231	C₄×Q₈×C₁₃	—	2	1	no	—
232	C₄×Q₈×C₁₃	—	2	1	no	—
233	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
234	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
237	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
238	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
240	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	—	2	2	no	—
244	C₄×D₄×C₁₃	—	2	2	no	—
245	C₄×D₄×C₁₃	—	2	2	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	1	no	—
248	C₄×D₄×C₁₃	D₄	1	2	yes	—
249	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
250	C₄×D₄×C₁₃	D₄	1	2	yes	—
251	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
252	C₄×D₄×C₁₃	C₂³	1	2	yes	—
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₁₃×#117	—	2	2	no	—
257	C₁₃×#117	—	2	2	no	—
258	C₁₃×#117	—	2	1	no	—
259	C₁₃×#117	—	2	2	no	—
260	C₁₃×#117	—	2	2	no	—
261	C₁₃×#117	—	2	2	no	—
262	C₁₃×#117	C₂³	1	1	yes	characteristic
263	C₁₃×#117	C₂³	1	1	yes	characteristic
264	C₁₃×#117	C₂³	1	1	yes	characteristic
265	C₁₃×#117	C₂³	1	1	yes	characteristic
266	C₁₃×#117	C₂³	1	2	yes	—
267	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
271	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
272	C₂×C₄²×C₁₃	—	2	1	no	—
273	C₂×C₄²×C₁₃	—	2	1	no	—
274	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
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	2	yes	—
281	C₁₃×#107	C₂³	1	2	yes	—
282	C₁₃×#106	C₂³	1	1	yes	characteristic
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	2	yes	—
287	C₁₃×#106	C₂³	1	2	yes	—
288	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
289	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
290	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
291	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
292	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
293	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
294	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
295	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
296	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
297	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	2	yes	—
300	C₁₃×#103	C₂³	1	1	yes	characteristic
301	C₁₃×#103	C₂³	1	1	yes	characteristic
302	C₁₃×#103	C₂³	1	1	yes	characteristic
303	C₁₃×#103	C₂³	1	1	yes	characteristic
304	C₁₃×#103	C₂³	1	2	yes	—
305	C₁₃×#103	C₂³	1	2	yes	—
306	C₁₃×#103	C₂³	1	2	yes	—
307	C₁₃×#103	C₂³	1	2	yes	—
308	C₁₃×#103	C₂³	1	2	yes	—
309	C₁₃×#103	C₂³	1	2	yes	—
310	C₁₃×#102	C₂³	1	2	yes	—
311	C₁₃×#102	C₂³	1	2	yes	—
312	C₁₃×#102	C₂³	1	1	yes	characteristic
313	C₁₃×#102	C₂³	1	1	yes	characteristic
314	C₁₃×#102	C₂³	1	1	yes	characteristic
315	C₁₃×#102	C₂³	1	1	yes	characteristic
316	C₁₃×#102	C₂³	1	2	yes	—
317	C₁₃×#102	C₂³	1	2	yes	—
318	#60927	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
319	C₂⁴×C₁₃	—	2	1	no	—
320	C₁₃×#41	—	2	2	no	—
321	C₁₃×#41	—	2	2	no	—
322	C₁₃×#41	—	2	2	no	—
323	C₁₃×#41	—	2	2	no	—
324	C₂×Q₈×C₁₃	—	2	1	no	—
325	C₂×Q₈×C₁₃	—	2	1	no	—
326	C₂×Q₈×C₁₃	—	2	1	no	—
327	C₂×Q₈×C₁₃	—	2	1	no	—
328	C₂×Q₈×C₁₃	—	2	2	no	—
329	C₂×Q₈×C₁₃	—	2	2	no	—
330	C₂×Q₈×C₁₃	—	2	2	no	—
331	C₂×Q₈×C₁₃	—	2	2	no	—
332	C₂×Q₈×C₁₃	—	2	2	no	—
333	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
334	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
335	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
336	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
337	C₂×D₄×C₁₃	—	2	1	no	—
338	C₂×D₄×C₁₃	—	2	2	no	—
339	C₂×D₄×C₁₃	—	2	2	no	—
340	C₂×D₄×C₁₃	—	2	2	no	—
341	C₂×D₄×C₁₃	—	2	1	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
345	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
346	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
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	—	2	1	no	—
354	C₂²×C₄×C₁₃	—	2	2	no	—
355	C₂²×C₄×C₁₃	—	2	2	no	—
356	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
359	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
360	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
361	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₁₃×Q₁₆	—	4	2	no	—
363	C₁₃×Q₁₆	—	4	2	no	—
364	C₁₃×Q₁₆	—	4	2	no	—
365	C₁₃×SD₁₆	—	4	2	no	—
366	C₁₃×SD₁₆	—	4	2	no	—
367	C₁₃×SD₁₆	—	4	2	no	—
368	C₁₃×SD₁₆	—	4	2	no	—
369	C₁₃×D₈	—	4	2	no	—
370	C₁₃×M₁₆	—	2	2	no	—
371	C₁₃×M₁₆	—	2	2	no	—
372	C₁₃×M₁₆	—	4	2	no	—
373	C₁₃×M₁₆	—	4	2	no	—
374	C₂×C₈×C₁₃	—	2	2	no	—
375	C₂×C₈×C₁₃	—	2	2	no	—
376	C₂×C₈×C₁₃	—	4	2	no	—
377	C₂×C₈×C₁₃	—	4	2	no	—
378	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
381	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
383	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
384	C₁₃×C₄⋊C₄	—	2	2	no	—
385	C₁₃×C₄⋊C₄	—	2	2	no	—
386	C₁₃×C₄⋊C₄	—	2	1	no	—
387	C₁₃×C₄⋊C₄	—	2	1	no	—
388	C₁₃×C₄⋊C₄	—	2	1	no	—
389	C₁₃×C₄⋊C₄	—	2	1	no	—
390	C₁₃×C₄⋊C₄	—	2	1	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	—	2	1	no	—
400	C₁₃×C₄⋊C₄	—	2	1	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	1	no	—
406	C₁₃×C₄⋊C₄	—	2	1	no	—
407	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
408	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
409	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
410	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
411	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
412	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
413	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
414	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
415	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
416	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
417	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₃×C₂²⋊C₄	—	2	1	no	—
419	C₁₃×C₂²⋊C₄	—	2	1	no	—
420	C₁₃×C₂²⋊C₄	—	2	2	no	—
421	C₁₃×C₂²⋊C₄	—	2	2	no	—
422	C₁₃×C₂²⋊C₄	—	2	1	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	1	no	—
433	C₁₃×C₂²⋊C₄	—	2	1	no	—
434	C₁₃×C₂²⋊C₄	—	2	2	no	—
435	C₁₃×C₂²⋊C₄	—	2	2	no	—
436	C₁₃×C₂²⋊C₄	—	2	2	no	—
437	C₁₃×C₂²⋊C₄	—	2	2	no	—
438	C₁₃×C₂²⋊C₄	—	2	2	no	—
439	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
441	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
442	C₄²×C₁₃	—	2	2	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	1	no	—
450	C₄²×C₁₃	—	2	1	no	—
451	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
452	C₄²×C₁₃	C₂×D₄	1	2	yes	—
453	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
454	C₄²×C₁₃	C₂×D₄	1	2	yes	—
455	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
456	C₄²×C₁₃	C₂⁴	1	2	yes	—
457	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
458	#3510	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3461	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3263	C₂×C₁₃	1	2	yes	complemented
461	#3262	C₂×C₁₃	1	2	yes	complemented
462	#3258	C₂×C₁₃	1	2	yes	complemented
463	#3258	C₂×C₁₃	1	2	yes	complemented
464	#3256	C₂×C₁₃	1	2	yes	complemented
465	#3252	C₂×C₁₃	1	2	yes	complemented
466	#3250	C₂×C₁₃	1	2	yes	complemented
467	#3248	C₂×C₁₃	1	2	yes	complemented
468	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
470	#3078	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3063	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3062	C₂×C₁₃	1	1	yes	characteristic
474	#3059	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3057	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3044	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#3042	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3040	C₂×C₁₃	1	1	yes	characteristic, complemented
479	C₂×#464	C₂×C₁₃	1	1	yes	characteristic, complemented
480	#2906	C₂×C₁₃	1	1	yes	characteristic, complemented
481	C₂³×C₁₃	—	2	1	no	—
482	C₂³×C₁₃	—	2	2	no	—
483	C₂³×C₁₃	—	4	2	no	—
484	C₂³×C₁₃	—	8	1	no	—
485	C₂³×C₁₃	—	8	1	no	—
486	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
487	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
488	Q₈×C₁₃	—	2	2	no	—
489	Q₈×C₁₃	—	2	2	no	—
490	Q₈×C₁₃	—	2	1	no	—
491	Q₈×C₁₃	—	2	2	no	—
492	Q₈×C₁₃	—	2	2	no	—
493	Q₈×C₁₃	—	2	2	no	—
494	Q₈×C₁₃	—	2	1	no	—
495	Q₈×C₁₃	—	4	2	no	—
496	Q₈×C₁₃	—	4	2	no	—
497	Q₈×C₁₃	—	8	1	no	—
498	Q₈×C₁₃	—	8	2	no	—
499	Q₈×C₁₃	—	8	1	no	—
500	D₄×C₁₃	—	2	4	no	—
501	D₄×C₁₃	—	2	2	no	—
502	D₄×C₁₃	—	2	1	no	—
503	D₄×C₁₃	—	2	2	no	—
504	D₄×C₁₃	—	2	2	no	—
505	D₄×C₁₃	—	2	1	no	—
506	D₄×C₁₃	—	4	2	no	—
507	D₄×C₁₃	—	4	2	no	—
508	D₄×C₁₃	—	8	2	no	—
509	D₄×C₁₃	—	8	2	no	—
510	D₄×C₁₃	—	8	2	no	—
511	C₂×C₄×C₁₃	—	2	2	no	—
512	C₂×C₄×C₁₃	—	2	2	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	2	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	1	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	4	1	no	—
524	C₂×C₄×C₁₃	—	4	2	no	—
525	C₂×C₄×C₁₃	—	4	2	no	—
526	C₂×C₄×C₁₃	—	4	1	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	—	8	2	no	—
532	C₂×C₄×C₁₃	—	8	1	no	—
533	C₂×C₄×C₁₃	—	8	2	no	—
534	C₂×C₄×C₁₃	—	8	1	no	—
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	2	yes	—
538	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
540	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
541	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
542	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
543	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
544	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
545	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
546	C₈×C₁₃	—	2	1	no	—
547	C₈×C₁₃	—	2	1	no	—
548	C₈×C₁₃	—	2	1	no	—
549	C₈×C₁₃	—	2	1	no	—
550	C₈×C₁₃	—	2	2	no	—
551	C₈×C₁₃	—	2	2	no	—
552	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
553	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
554	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic
555	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
556	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
557	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
558	#559	—	2	1	no	—
559	#559	—	2	1	no	—
560	#556	—	2	1	no	—
561	#556	—	2	1	no	—
562	#551	—	2	2	no	—
563	#551	—	2	2	no	—
564	#544	C₂²×C₁₃	1	1	yes	characteristic
565	#542	—	2	1	no	—
566	#542	C₂²×C₁₃	1	2	yes	—
567	#542	C₂²×C₁₃	1	2	yes	—
568	#542	C₂²×C₁₃	1	2	yes	complemented
569	#541	—	2	1	no	—
570	#541	C₂²×C₁₃	1	2	yes	complemented
571	#539	—	2	2	no	—
572	#537	C₂²×C₁₃	1	1	yes	characteristic
573	#536	C₂²×C₁₃	1	1	yes	characteristic
574	#536	C₂²×C₁₃	1	1	yes	characteristic
575	#536	C₂²×C₁₃	1	1	yes	characteristic
576	#535	C₂²×C₁₃	1	1	yes	characteristic
577	#533	—	2	1	no	—
578	#533	C₂²×C₁₃	1	1	yes	characteristic
579	#533	C₂²×C₁₃	1	2	yes	complemented
580	#529	—	2	2	no	—
581	#529	—	2	1	no	—
582	#529	C₂²×C₁₃	1	2	yes	—
583	#529	C₂²×C₁₃	1	2	yes	—
584	#529	C₂²×C₁₃	1	2	yes	complemented
585	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
586	#519	C₂²×C₁₃	1	1	yes	characteristic
587	#518	C₂²×C₁₃	1	1	yes	characteristic
588	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
589	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
590	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
591	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
592	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
593	#479	C₂²×C₁₃	1	2	yes	complemented
594	#479	C₂²×C₁₃	1	2	yes	complemented
595	#479	C₂²×C₁₃	1	2	yes	complemented
596	#479	C₂²×C₁₃	1	2	yes	complemented
597	#478	C₂²×C₁₃	1	2	yes	—
598	#478	C₂²×C₁₃	1	2	yes	—
599	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#477	C₂²×C₁₃	1	2	yes	complemented
603	#477	C₂²×C₁₃	1	2	yes	complemented
604	#476	C₂²×C₁₃	1	2	yes	—
605	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
606	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#475	C₂²×C₁₃	1	2	yes	complemented
608	#475	C₂²×C₁₃	1	2	yes	complemented
609	#474	C₂²×C₁₃	1	2	yes	—
610	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	#470	C₂²×C₁₃	1	2	yes	complemented
612	#470	C₂²×C₁₃	1	2	yes	complemented
613	#470	C₂²×C₁₃	1	2	yes	complemented
614	#469	C₂²×C₁₃	1	2	yes	—
615	#468	C₂²×C₁₃	1	2	yes	—
616	#468	C₂²×C₁₃	1	2	yes	—
617	#468	C₂²×C₁₃	1	2	yes	—
618	#468	C₂²×C₁₃	1	2	yes	complemented
619	#467	C₂²×C₁₃	1	2	yes	complemented
620	#467	C₂²×C₁₃	1	2	yes	complemented
621	#467	C₂²×C₁₃	1	2	yes	complemented
622	#466	C₂²×C₁₃	1	2	yes	—
623	#465	C₂²×C₁₃	1	2	yes	—
624	#465	C₂²×C₁₃	1	2	yes	—
625	#465	C₂²×C₁₃	1	2	yes	—
626	#465	C₂²×C₁₃	1	2	yes	complemented
627	#464	C₂²×C₁₃	1	2	yes	—
628	#464	C₂²×C₁₃	1	2	yes	—
629	#464	C₂²×C₁₃	1	2	yes	—
630	#464	C₂²×C₁₃	1	2	yes	—
631	#464	C₂²×C₁₃	1	2	yes	—
632	#464	C₂²×C₁₃	1	2	yes	—
633	#464	C₂²×C₁₃	1	2	yes	complemented
634	#464	C₂²×C₁₃	1	2	yes	complemented
635	#463	C₂²×C₁₃	1	2	yes	—
636	#463	C₂²×C₁₃	1	2	yes	—
637	#463	C₂²×C₁₃	1	2	yes	—
638	#463	C₂²×C₁₃	1	2	yes	—
639	#462	C₂²×C₁₃	1	2	yes	complemented
640	#462	C₂²×C₁₃	1	2	yes	complemented
641	#461	C₂²×C₁₃	1	2	yes	—
642	#461	C₂²×C₁₃	1	2	yes	—
643	#428	C₂²×C₁₃	1	1	yes	characteristic
644	#428	C₂²×C₁₃	1	1	yes	characteristic
645	#427	C₂²×C₁₃	1	1	yes	characteristic
646	#427	C₂²×C₁₃	1	1	yes	characteristic
647	#424	C₂²×C₁₃	1	1	yes	characteristic
648	#424	C₂²×C₁₃	1	1	yes	characteristic
649	#424	C₂²×C₁₃	1	2	yes	complemented
650	#424	C₂²×C₁₃	1	2	yes	complemented
651	#423	C₂²×C₁₃	1	1	yes	characteristic
652	#423	C₂²×C₁₃	1	2	yes	complemented
653	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
654	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	complemented
655	#419	C₂²×C₁₃	1	1	yes	characteristic
656	#419	C₂²×C₁₃	1	1	yes	characteristic
657	#419	C₂²×C₁₃	1	1	yes	characteristic
658	#418	C₂²×C₁₃	1	1	yes	characteristic
659	#416	C₂²×C₁₃	1	1	yes	characteristic
660	#416	C₂²×C₁₃	1	1	yes	characteristic
661	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
662	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
663	C₂²×C₁₃	—	2	1	no	—
664	C₂²×C₁₃	—	2	1	no	—
665	C₂²×C₁₃	—	2	2	no	—
666	C₂²×C₁₃	—	2	2	no	—
667	C₂²×C₁₃	—	2	2	no	—
668	C₂²×C₁₃	—	4	1	no	—
669	C₂²×C₁₃	—	4	2	no	—
670	C₂²×C₁₃	—	4	1	no	—
671	C₂²×C₁₃	—	4	2	no	—
672	C₂²×C₁₃	—	4	1	no	—
673	C₂²×C₁₃	—	4	2	no	—
674	C₂²×C₁₃	—	16	2	no	—
675	C₂²×C₁₃	#537	1	2	yes	—
676	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
677	C₄×C₁₃	—	2	1	no	—
678	C₄×C₁₃	—	2	1	no	—
679	C₄×C₁₃	—	2	2	no	—
680	C₄×C₁₃	—	2	1	no	—
681	C₄×C₁₃	—	2	2	no	—
682	C₄×C₁₃	—	2	1	no	—
683	C₄×C₁₃	—	2	2	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	—	4	1	no	—
690	C₄×C₁₃	—	4	1	no	—
691	C₄×C₁₃	—	4	1	no	—
692	C₄×C₁₃	—	4	2	no	—
693	C₄×C₁₃	—	4	2	no	—
694	C₄×C₁₃	#537	1	2	yes	—
695	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
696	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
697	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
698	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
699	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
700	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
701	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
702	#137	—	4	2	no	—
703	AGL(1,ℤ/8)	—	4	2	no	—
704	C₂×Q₁₆	—	4	2	no	—
705	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
706	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
707	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
708	C₂×SD₁₆	—	4	2	no	—
709	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
710	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
711	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
712	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
713	C₂×D₈	C₂³×C₁₃	1	2	yes	—
714	#131	—	4	2	no	—
715	#131	—	4	2	no	—
716	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
717	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
718	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
719	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
720	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
721	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
722	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
723	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
724	C₄⋊Q₈	—	2	1	no	—
725	C₄⋊Q₈	—	2	1	no	—
726	C₄⋊Q₈	—	2	1	no	—
727	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
728	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
729	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
730	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
731	#127	—	2	1	no	—
732	#126	—	2	2	no	—
733	#126	—	2	2	no	—
734	#126	—	2	2	no	—
735	#126	—	2	2	no	—
736	#126	—	2	2	no	—
737	#126	—	2	2	no	—
738	#126	—	2	2	no	—
739	#126	—	2	2	no	—
740	#125	—	2	2	no	—
741	#125	—	2	1	no	—
742	#125	—	2	2	no	—
743	#125	—	2	2	no	—
744	#125	C₂³×C₁₃	1	1	yes	characteristic
745	#125	C₂³×C₁₃	1	1	yes	characteristic
746	#125	C₂³×C₁₃	1	2	yes	—
747	#124	—	2	1	no	—
748	#124	—	2	1	no	—
749	#124	—	2	1	no	—
750	#124	—	2	2	no	—
751	#124	—	2	2	no	—
752	#124	—	2	2	no	—
753	#124	—	2	1	no	—
754	#124	—	2	1	no	—
755	#124	C₂³×C₁₃	1	2	yes	—
756	#124	C₂³×C₁₃	1	2	yes	—
757	#124	C₂³×C₁₃	1	2	yes	—
758	#123	—	2	2	no	—
759	#123	—	2	2	no	—
760	#123	—	2	2	no	—
761	#123	—	2	2	no	—
762	#123	—	2	2	no	—
763	#123	—	2	2	no	—
764	#123	—	2	2	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	C₂²⋊Q₈	—	2	1	no	—
768	C₂²⋊Q₈	—	2	1	no	—
769	C₂²⋊Q₈	—	2	1	no	—
770	C₂²⋊Q₈	—	2	2	no	—
771	C₂²⋊Q₈	—	2	1	no	—
772	C₂²⋊Q₈	—	2	1	no	—
773	C₂²⋊Q₈	—	2	2	no	—
774	C₂²⋊Q₈	—	2	2	no	—
775	C₂²⋊Q₈	—	2	2	no	—
776	C₂²⋊Q₈	—	2	2	no	—
777	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
778	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
779	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
780	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
781	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
782	#121	—	2	2	no	—
783	#121	—	2	1	no	—
784	#121	C₂³×C₁₃	1	2	yes	—
785	#121	C₂³×C₁₃	1	2	yes	—
786	#121	C₂³×C₁₃	1	2	yes	—
787	#120	—	2	2	no	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	—	2	1	no	—
791	C₄×Q₈	—	2	1	no	—
792	C₄×Q₈	—	2	2	no	—
793	C₄×Q₈	—	2	1	no	—
794	C₄×Q₈	—	2	1	no	—
795	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
796	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
797	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
798	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
799	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
800	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
801	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
802	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	2	no	—
806	C₄×D₄	—	2	2	no	—
807	C₄×D₄	—	2	2	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	D₄×C₁₃	1	2	yes	—
811	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
812	C₄×D₄	D₄×C₁₃	1	2	yes	—
813	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
814	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
815	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
816	C₄×D₄	C₂³×C₁₃	1	2	yes	—
817	C₄×D₄	C₂³×C₁₃	1	2	yes	—
818	#117	—	2	2	no	—
819	#117	—	2	2	no	—
820	#117	—	2	1	no	—
821	#117	—	2	2	no	—
822	#117	—	2	2	no	—
823	#117	—	2	2	no	—
824	#117	C₂³×C₁₃	1	1	yes	characteristic
825	#117	C₂³×C₁₃	1	1	yes	characteristic
826	#117	C₂³×C₁₃	1	1	yes	characteristic
827	#117	C₂³×C₁₃	1	1	yes	characteristic
828	#117	C₂³×C₁₃	1	2	yes	—
829	C₂×C₄⋊C₄	—	2	1	no	—
830	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
831	C₂×C₂²⋊C₄	—	2	1	no	—
832	C₂×C₂²⋊C₄	—	2	1	no	—
833	C₂×C₂²⋊C₄	—	2	2	no	—
834	C₂×C₄²	—	2	1	no	—
835	C₂×C₄²	—	2	1	no	—
836	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
837	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
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	2	yes	—
849	#106	C₂³×C₁₃	1	2	yes	—
850	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
851	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
852	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
853	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
854	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
855	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
856	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
857	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
858	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
859	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
860	#103	C₂³×C₁₃	1	2	yes	—
861	#103	C₂³×C₁₃	1	2	yes	—
862	#103	C₂³×C₁₃	1	1	yes	characteristic
863	#103	C₂³×C₁₃	1	1	yes	characteristic
864	#103	C₂³×C₁₃	1	1	yes	characteristic
865	#103	C₂³×C₁₃	1	1	yes	characteristic
866	#103	C₂³×C₁₃	1	2	yes	—
867	#103	C₂³×C₁₃	1	2	yes	—
868	#103	C₂³×C₁₃	1	2	yes	—
869	#103	C₂³×C₁₃	1	2	yes	—
870	#103	C₂³×C₁₃	1	2	yes	—
871	#103	C₂³×C₁₃	1	2	yes	—
872	#102	C₂³×C₁₃	1	2	yes	—
873	#102	C₂³×C₁₃	1	2	yes	—
874	#102	C₂³×C₁₃	1	1	yes	characteristic
875	#102	C₂³×C₁₃	1	1	yes	characteristic
876	#102	C₂³×C₁₃	1	1	yes	characteristic
877	#102	C₂³×C₁₃	1	1	yes	characteristic
878	#102	C₂³×C₁₃	1	2	yes	—
879	#102	C₂³×C₁₃	1	2	yes	—
880	C₂×C₁₃	—	2	2	no	—
881	C₂×C₁₃	—	4	2	no	—
882	C₂×C₁₃	—	8	1	no	—
883	C₂×C₁₃	—	8	2	no	—
884	C₂×C₁₃	C₂×#537	1	1	yes	characteristic
885	C₂×C₁₃	#3584	1	1	yes	characteristic
886	C₂×C₁₃	#3586	1	1	yes	characteristic
887	C₂⁴	—	2	1	no	—
888	#41	—	2	2	no	—
889	#41	—	2	2	no	—
890	#41	—	2	2	no	—
891	#41	—	2	2	no	—
892	C₂×Q₈	—	2	1	no	—
893	C₂×Q₈	—	2	1	no	—
894	C₂×Q₈	—	2	1	no	—
895	C₂×Q₈	—	2	1	no	—
896	C₂×Q₈	—	2	2	no	—
897	C₂×Q₈	—	2	2	no	—
898	C₂×Q₈	—	2	2	no	—
899	C₂×Q₈	—	2	2	no	—
900	C₂×Q₈	—	2	2	no	—
901	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
902	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
903	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
904	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
905	C₂×D₄	—	2	1	no	—
906	C₂×D₄	—	2	2	no	—
907	C₂×D₄	—	2	2	no	—
908	C₂×D₄	—	2	2	no	—
909	C₂×D₄	—	2	1	no	—
910	C₂×D₄	—	2	2	no	—
911	C₂×D₄	—	2	2	no	—
912	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
913	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
914	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
915	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
916	C₂²×C₄	—	2	1	no	—
917	C₂²×C₄	—	2	1	no	—
918	C₂²×C₄	—	2	1	no	—
919	C₂²×C₄	—	2	1	no	—
920	C₂²×C₄	—	2	1	no	—
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
925	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
926	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
927	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
928	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
929	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
930	Q₁₆	—	4	2	no	—
931	Q₁₆	—	4	2	no	—
932	Q₁₆	—	4	2	no	—
933	SD₁₆	—	4	2	no	—
934	SD₁₆	—	4	2	no	—
935	SD₁₆	—	4	2	no	—
936	SD₁₆	—	4	2	no	—
937	D₈	—	4	2	no	—
938	M₁₆	—	2	2	no	—
939	M₁₆	—	2	2	no	—
940	M₁₆	—	4	2	no	—
941	M₁₆	—	4	2	no	—
942	C₂×C₈	—	2	2	no	—
943	C₂×C₈	—	2	2	no	—
944	C₂×C₈	—	4	2	no	—
945	C₂×C₈	—	4	2	no	—
946	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
947	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
948	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
949	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
950	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
951	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
952	C₄⋊C₄	—	2	2	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	1	no	—
955	C₄⋊C₄	—	2	1	no	—
956	C₄⋊C₄	—	2	1	no	—
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	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	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	2	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	2	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
976	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
978	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
979	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
980	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
981	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
982	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
983	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
984	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
985	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
986	C₂²⋊C₄	—	2	1	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	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	1	no	—
1001	C₂²⋊C₄	—	2	1	no	—
1002	C₂²⋊C₄	—	2	2	no	—
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1008	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1009	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1010	C₄²	—	2	2	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	1	no	—
1018	C₄²	—	2	1	no	—
1019	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1020	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1021	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1022	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1023	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1024	C₄²	C₂⁴×C₁₃	1	2	yes	—
1025	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1026	C₁₃	#60927	1	1	yes	characteristic, direct product factor, Sylow
1027	C₂³	—	2	1	no	—
1028	C₂³	—	2	2	no	—
1029	C₂³	—	4	2	no	—
1030	C₂³	—	8	1	no	—
1031	C₂³	—	8	1	no	—
1032	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1033	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1034	Q₈	—	2	2	no	—
1035	Q₈	—	2	2	no	—
1036	Q₈	—	2	1	no	—
1037	Q₈	—	2	2	no	—
1038	Q₈	—	2	2	no	—
1039	Q₈	—	2	2	no	—
1040	Q₈	—	2	1	no	—
1041	Q₈	—	4	2	no	—
1042	Q₈	—	4	2	no	—
1043	Q₈	—	8	1	no	—
1044	Q₈	—	8	2	no	—
1045	Q₈	—	8	1	no	—
1046	D₄	—	2	4	no	—
1047	D₄	—	2	2	no	—
1048	D₄	—	2	1	no	—
1049	D₄	—	2	2	no	—
1050	D₄	—	2	2	no	—
1051	D₄	—	2	1	no	—
1052	D₄	—	4	2	no	—
1053	D₄	—	4	2	no	—
1054	D₄	—	8	2	no	—
1055	D₄	—	8	2	no	—
1056	D₄	—	8	2	no	—
1057	C₂×C₄	—	2	2	no	—
1058	C₂×C₄	—	2	2	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	2	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	2	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	4	1	no	—
1070	C₂×C₄	—	4	2	no	—
1071	C₂×C₄	—	4	2	no	—
1072	C₂×C₄	—	4	1	no	—
1073	C₂×C₄	—	4	2	no	—
1074	C₂×C₄	—	4	2	no	—
1075	C₂×C₄	—	4	2	no	—
1076	C₂×C₄	—	4	2	no	—
1077	C₂×C₄	—	8	2	no	—
1078	C₂×C₄	—	8	1	no	—
1079	C₂×C₄	—	8	2	no	—
1080	C₂×C₄	—	8	1	no	—
1081	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1082	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1083	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1084	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1085	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1086	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1087	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1088	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1089	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1090	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1091	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1092	C₈	—	2	1	no	—
1093	C₈	—	2	1	no	—
1094	C₈	—	2	1	no	—
1095	C₈	—	2	1	no	—
1096	C₈	—	2	2	no	—
1097	C₈	—	2	2	no	—
1098	C₂²	—	2	1	no	—
1099	C₂²	—	2	1	no	—
1100	C₂²	—	2	2	no	—
1101	C₂²	—	2	2	no	—
1102	C₂²	—	2	2	no	—
1103	C₂²	—	4	1	no	—
1104	C₂²	—	4	2	no	—
1105	C₂²	—	4	1	no	—
1106	C₂²	—	4	2	no	—
1107	C₂²	—	4	1	no	—
1108	C₂²	—	4	2	no	—
1109	C₂²	—	16	2	no	—
1110	C₂²	C₁₃×#537	1	2	yes	—
1111	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1112	C₄	—	2	1	no	—
1113	C₄	—	2	1	no	—
1114	C₄	—	2	2	no	—
1115	C₄	—	2	1	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	2	1	no	—
1118	C₄	—	2	2	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	2	no	—
1121	C₄	—	4	1	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	—	4	2	no	—
1129	C₄	C₁₃×#537	1	2	yes	—
1130	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1131	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1132	C₂	—	2	2	no	—
1133	C₂	—	4	2	no	—
1134	C₂	—	8	2	no	—
1135	C₂	—	8	1	no	—
1136	C₂	C₂×C₁₃×#537	1	1	yes	characteristic
1137	C₂	C₁₃×#3584	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×#3062	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3510	C₂	semidirect
2. C₁₃×#3461	C₂	semidirect
3. C₁₃×#3263	C₂	semidirect
4. C₁₃×#3262	C₂	semidirect
5. C₁₃×#3258	C₂	semidirect
6. C₁₃×#3258	C₂	semidirect
7. C₁₃×#3256	C₂	semidirect
8. C₁₃×#3252	C₂	semidirect
9. C₁₃×#3250	C₂	semidirect
10. C₁₃×#3248	C₂	semidirect
11. C₁₃×#3082	C₂	semidirect
12. C₁₃×#3081	C₂	semidirect
13. C₁₃×#3078	C₂	semidirect
14. C₁₃×#3076	C₂	semidirect
15. C₁₃×#3063	C₂	semidirect
17. C₁₃×#3059	C₂	semidirect
18. C₁₃×#3057	C₂	semidirect
19. C₁₃×#3044	C₂	semidirect
20. C₁₃×#3042	C₂	semidirect
21. C₁₃×#3040	C₂	semidirect
22. C₂×C₁₃×#464	C₂	semidirect
23. C₁₃×#2906	C₂	semidirect
40. C₁₃×#542	C₂²	semidirect
42. C₁₃×#541	C₂²	semidirect
51. C₁₃×#533	C₂²	semidirect
56. C₁₃×#529	C₂²	semidirect
63. C₁₃×#479	C₂²	semidirect
64. C₁₃×#479	C₂²	semidirect
65. C₁₃×#479	C₂²	semidirect
66. C₁₃×#479	C₂²	semidirect
67. C₁₃×#479	C₂²	semidirect
68. C₁₃×#479	C₂²	semidirect
71. C₁₃×#478	C₂²	semidirect
72. C₁₃×#478	C₂²	semidirect
73. C₁₃×#477	C₂²	semidirect
74. C₁₃×#477	C₂²	semidirect
75. C₁₃×#477	C₂²	semidirect
77. C₁₃×#476	C₂²	semidirect
78. C₁₃×#475	C₂²	semidirect
79. C₁₃×#475	C₂²	semidirect
80. C₁₃×#475	C₂²	semidirect
82. C₁₃×#474	C₂²	semidirect
83. C₁₃×#470	C₂²	semidirect
84. C₁₃×#470	C₂²	semidirect
85. C₁₃×#470	C₂²	semidirect
90. C₁₃×#468	C₂²	semidirect
91. C₁₃×#467	C₂²	semidirect
92. C₁₃×#467	C₂²	semidirect
93. C₁₃×#467	C₂²	semidirect
98. C₁₃×#465	C₂²	semidirect
105. C₁₃×#464	C₂²	semidirect
106. C₁₃×#464	C₂²	semidirect
111. C₁₃×#462	C₂²	semidirect
112. C₁₃×#462	C₂²	semidirect
121. C₁₃×#424	C₂²	semidirect
122. C₁₃×#424	C₂²	semidirect
124. C₁₃×#423	C₂²	semidirect
126. C₂×C₁₃×C₄⋊C₈	C₂²	semidirect
318. #60927	C₁₃	direct (N × H)
458. #3510	C₂×C₁₃	semidirect
459. #3461	C₂×C₁₃	semidirect
460. #3263	C₂×C₁₃	semidirect
461. #3262	C₂×C₁₃	semidirect
462. #3258	C₂×C₁₃	semidirect
463. #3258	C₂×C₁₃	semidirect
464. #3256	C₂×C₁₃	semidirect
465. #3252	C₂×C₁₃	semidirect
466. #3250	C₂×C₁₃	semidirect
467. #3248	C₂×C₁₃	semidirect
468. #3082	C₂×C₁₃	semidirect
469. #3081	C₂×C₁₃	semidirect
470. #3078	C₂×C₁₃	semidirect
471. #3076	C₂×C₁₃	semidirect
472. #3063	C₂×C₁₃	semidirect
474. #3059	C₂×C₁₃	semidirect
475. #3057	C₂×C₁₃	semidirect
476. #3044	C₂×C₁₃	semidirect
477. #3042	C₂×C₁₃	semidirect
478. #3040	C₂×C₁₃	semidirect
479. C₂×#464	C₂×C₁₃	semidirect
480. #2906	C₂×C₁₃	semidirect
568. #542	C₂²×C₁₃	semidirect
570. #541	C₂²×C₁₃	semidirect
579. #533	C₂²×C₁₃	semidirect
584. #529	C₂²×C₁₃	semidirect
591. #479	C₂²×C₁₃	semidirect
592. #479	C₂²×C₁₃	semidirect
593. #479	C₂²×C₁₃	semidirect
594. #479	C₂²×C₁₃	semidirect
595. #479	C₂²×C₁₃	semidirect
596. #479	C₂²×C₁₃	semidirect
599. #478	C₂²×C₁₃	semidirect
600. #478	C₂²×C₁₃	semidirect
601. #477	C₂²×C₁₃	semidirect
602. #477	C₂²×C₁₃	semidirect
603. #477	C₂²×C₁₃	semidirect
605. #476	C₂²×C₁₃	semidirect
606. #475	C₂²×C₁₃	semidirect
607. #475	C₂²×C₁₃	semidirect
608. #475	C₂²×C₁₃	semidirect
610. #474	C₂²×C₁₃	semidirect
611. #470	C₂²×C₁₃	semidirect
612. #470	C₂²×C₁₃	semidirect
613. #470	C₂²×C₁₃	semidirect
618. #468	C₂²×C₁₃	semidirect
619. #467	C₂²×C₁₃	semidirect
620. #467	C₂²×C₁₃	semidirect
621. #467	C₂²×C₁₃	semidirect
626. #465	C₂²×C₁₃	semidirect
633. #464	C₂²×C₁₃	semidirect
634. #464	C₂²×C₁₃	semidirect
639. #462	C₂²×C₁₃	semidirect
640. #462	C₂²×C₁₃	semidirect
649. #424	C₂²×C₁₃	semidirect
650. #424	C₂²×C₁₃	semidirect
652. #423	C₂²×C₁₃	semidirect
654. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1026. C₁₃	#60927	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×#3510	2
C₁₃×#3461	2
C₁₃×#3263	2
C₁₃×#3262	2
C₁₃×#3258	2
C₁₃×#3256	2
C₁₃×#3252	2
C₁₃×#3250	2
C₁₃×#3248	2
C₁₃×#3082	2
C₁₃×#3081	2
C₁₃×#3078	2
C₁₃×#3076	2
C₁₃×#3063	2
C₁₃×#3062	2
C₁₃×#3059	2
C₁₃×#3057	2
C₁₃×#3044	2
C₁₃×#3042	2
C₁₃×#3040	2
C₂×C₁₃×#464	2
C₁₃×#2906	2
#60927	13

Subgroups — C13×#60927 #15747266

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60927 #15747266