Subgroups — C₁₃×#60926 #15747265

Order 3328.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1168 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×#3460	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×#3257	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3257	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3256	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3251	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3250	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3247	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×#3077	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, complemented
17	C₁₃×#3058	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3057	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3043	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3041	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3040	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#463	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×SD₁₆	C₂²	1	1	yes	characteristic
27	C₂²×C₁₃×D₈	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	complemented
39	C₁₃×#542	C₂²	1	2	yes	complemented
40	C₁₃×#542	C₂²	1	2	yes	complemented
41	C₁₃×#540	—	2	1	no	—
42	C₁₃×#540	C₂²	1	2	yes	complemented
43	C₁₃×#538	—	2	2	no	—
44	C₁₃×#537	C₂²	1	1	yes	characteristic
45	C₁₃×#536	C₂²	1	1	yes	characteristic
46	C₁₃×#535	C₂²	1	1	yes	characteristic
47	C₁₃×#535	C₂²	1	1	yes	characteristic
48	C₁₃×#535	C₂²	1	1	yes	characteristic
49	C₁₃×#533	C₂²	1	1	yes	characteristic
50	C₁₃×#532	—	2	1	no	—
51	C₁₃×#532	C₂²	1	2	yes	complemented
52	C₁₃×#529	—	2	1	no	—
53	C₁₃×#529	C₂²	1	2	yes	complemented
54	C₁₃×#529	C₂²	1	2	yes	complemented
55	C₁₃×#529	C₂²	1	2	yes	complemented
56	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
57	C₁₃×#525	—	2	2	no	—
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×D₄×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×#478	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#478	C₂²	1	2	yes	complemented
70	C₁₃×#478	C₂²	1	2	yes	complemented
71	C₁₃×#478	C₂²	1	2	yes	complemented
72	C₁₃×#478	C₂²	1	2	yes	complemented
73	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#477	C₂²	1	2	yes	complemented
75	C₁₃×#476	C₂²	1	2	yes	complemented
76	C₁₃×#476	C₂²	1	2	yes	complemented
77	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#475	C₂²	1	2	yes	complemented
80	C₁₃×#474	C₂²	1	2	yes	complemented
81	C₁₃×#474	C₂²	1	2	yes	complemented
82	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#470	C₂²	1	2	yes	complemented
84	C₁₃×#469	C₂²	1	2	yes	—
85	C₁₃×#469	C₂²	1	2	yes	—
86	C₁₃×#469	C₂²	1	2	yes	complemented
87	C₁₃×#468	C₂²	1	2	yes	complemented
88	C₁₃×#468	C₂²	1	2	yes	complemented
89	C₁₃×#468	C₂²	1	2	yes	complemented
90	C₁₃×#468	C₂²	1	2	yes	complemented
91	C₁₃×#467	C₂²	1	2	yes	complemented
92	C₁₃×#466	C₂²	1	2	yes	—
93	C₁₃×#466	C₂²	1	2	yes	—
94	C₁₃×#466	C₂²	1	2	yes	complemented
95	C₁₃×#465	C₂²	1	2	yes	complemented
96	C₁₃×#465	C₂²	1	2	yes	complemented
97	C₁₃×#465	C₂²	1	2	yes	complemented
98	C₁₃×#465	C₂²	1	2	yes	complemented
99	C₁₃×#464	C₂²	1	2	yes	complemented
100	C₁₃×#464	C₂²	1	2	yes	complemented
101	C₁₃×#464	C₂²	1	2	yes	complemented
102	C₁₃×#464	C₂²	1	2	yes	complemented
103	C₁₃×#463	C₂²	1	2	yes	—
104	C₁₃×#463	C₂²	1	2	yes	—
105	C₁₃×#463	C₂²	1	2	yes	—
106	C₁₃×#463	C₂²	1	2	yes	—
107	C₁₃×#463	C₂²	1	2	yes	—
108	C₁₃×#463	C₂²	1	2	yes	—
109	C₁₃×#463	C₂²	1	2	yes	complemented
110	C₁₃×#463	C₂²	1	2	yes	complemented
111	C₁₃×#460	C₂²	1	2	yes	complemented
112	C₁₃×#460	C₂²	1	2	yes	complemented
113	C₁₃×#459	C₂²	1	2	yes	—
114	C₁₃×#459	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×#418	C₂²	1	1	yes	characteristic
129	C₁₃×#418	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	—	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	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
141	C₂³×C₄×C₁₃	—	2	1	no	—
142	C₁₃×#137	—	4	2	no	—
143	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
144	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
145	C₂×C₁₃×SD₁₆	—	4	2	no	—
146	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
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×D₈	—	4	2	no	—
151	C₂×C₁₃×D₈	C₂³	1	2	yes	—
152	C₂×C₁₃×D₈	C₂³	1	2	yes	—
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
154	C₁₃×#131	—	4	2	no	—
155	C₁₃×#131	—	4	2	no	—
156	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
158	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
160	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
161	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
162	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
163	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
164	C₁₃×C₄⋊Q₈	—	2	1	no	—
165	C₁₃×C₄⋊Q₈	—	2	1	no	—
166	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
167	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
168	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
169	C₁₃×#127	—	2	1	no	—
170	C₁₃×#127	—	2	1	no	—
171	C₁₃×#127	C₂³	1	2	yes	—
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	1	no	—
179	C₁₃×#125	C₂³	1	1	yes	characteristic
180	C₁₃×#125	C₂³	1	1	yes	characteristic
181	C₁₃×#125	C₂³	1	2	yes	—
182	C₁₃×#124	—	2	1	no	—
183	C₁₃×#124	—	2	1	no	—
184	C₁₃×#124	—	2	1	no	—
185	C₁₃×#124	—	2	2	no	—
186	C₁₃×#124	—	2	2	no	—
187	C₁₃×#124	—	2	2	no	—
188	C₁₃×#124	—	2	1	no	—
189	C₁₃×#124	—	2	1	no	—
190	C₁₃×#124	—	2	2	no	—
191	C₁₃×#124	C₂³	1	2	yes	—
192	C₁₃×#124	C₂³	1	2	yes	—
193	C₁₃×#124	C₂³	1	2	yes	—
194	C₁₃×#123	—	2	2	no	—
195	C₁₃×#123	—	2	2	no	—
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×C₂²⋊Q₈	—	2	1	no	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	1	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
212	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
213	C₁₃×#121	—	2	2	no	—
214	C₁₃×#121	—	2	1	no	—
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	1	no	—
217	C₁₃×#121	—	2	1	no	—
218	C₁₃×#121	—	2	2	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	C₂³	1	2	yes	—
221	C₁₃×#121	C₂³	1	2	yes	—
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	C₁₃×#120	—	2	2	no	—
227	C₁₃×#120	—	2	2	no	—
228	C₄×Q₈×C₁₃	—	2	1	no	—
229	C₄×Q₈×C₁₃	—	2	1	no	—
230	C₄×Q₈×C₁₃	—	2	1	no	—
231	C₄×Q₈×C₁₃	—	2	1	no	—
232	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
233	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
234	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
235	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	—	2	1	no	—
239	C₄×D₄×C₁₃	—	2	1	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	2	no	—
242	C₄×D₄×C₁₃	—	2	2	no	—
243	C₄×D₄×C₁₃	—	2	1	no	—
244	C₄×D₄×C₁₃	—	2	1	no	—
245	C₄×D₄×C₁₃	—	2	1	no	—
246	C₄×D₄×C₁₃	—	2	1	no	—
247	C₄×D₄×C₁₃	—	2	2	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	2	yes	—
255	C₄×D₄×C₁₃	C₂³	1	2	yes	—
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
257	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
258	C₁₃×#117	—	2	2	no	—
259	C₁₃×#117	—	2	1	no	—
260	C₁₃×#117	—	2	2	no	—
261	C₁₃×#117	—	2	2	no	—
262	C₁₃×#117	—	2	2	no	—
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	1	yes	characteristic
267	C₁₃×#117	C₂³	1	2	yes	—
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	1	no	—
272	C₂×C₁₃×C₂²⋊C₄	—	2	2	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×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×#102	C₂³	1	1	yes	characteristic
309	C₁₃×#102	C₂³	1	1	yes	characteristic
310	C₁₃×#102	C₂³	1	1	yes	characteristic
311	C₁₃×#102	C₂³	1	1	yes	characteristic
312	C₁₃×#102	C₂³	1	2	yes	—
313	C₁₃×#102	C₂³	1	2	yes	—
314	C₁₃×#102	C₂³	1	2	yes	—
315	C₁₃×#102	C₂³	1	2	yes	—
316	C₁₃×#102	C₂³	1	2	yes	—
317	C₁₃×#102	C₂³	1	2	yes	—
318	#60926	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
319	C₂⁴×C₁₃	—	2	1	no	—
320	C₂⁴×C₁₃	—	2	1	no	—
321	C₁₃×#41	—	2	2	no	—
322	C₁₃×#41	—	2	2	no	—
323	C₁₃×#41	—	2	2	no	—
324	C₁₃×#41	—	2	2	no	—
325	C₁₃×#41	—	8	4	no	—
326	C₂×Q₈×C₁₃	—	2	1	no	—
327	C₂×Q₈×C₁₃	—	2	1	no	—
328	C₂×Q₈×C₁₃	—	2	1	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	C₂×D₄	1	1	yes	characteristic
333	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
334	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
335	C₂×D₄×C₁₃	—	2	1	no	—
336	C₂×D₄×C₁₃	—	2	2	no	—
337	C₂×D₄×C₁₃	—	2	2	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	1	no	—
343	C₂×D₄×C₁₃	—	2	2	no	—
344	C₂×D₄×C₁₃	—	2	2	no	—
345	C₂×D₄×C₁₃	—	2	2	no	—
346	C₂×D₄×C₁₃	—	2	2	no	—
347	C₂×D₄×C₁₃	—	2	2	no	—
348	C₂×D₄×C₁₃	—	2	2	no	—
349	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
350	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
351	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
352	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
353	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₁₃	—	2	1	no	—
355	C₂²×C₄×C₁₃	—	2	1	no	—
356	C₂²×C₄×C₁₃	—	2	1	no	—
357	C₂²×C₄×C₁₃	—	2	1	no	—
358	C₂²×C₄×C₁₃	—	2	2	no	—
359	C₂²×C₄×C₁₃	—	2	1	no	—
360	C₂²×C₄×C₁₃	—	2	2	no	—
361	C₂²×C₄×C₁₃	—	2	2	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	8	2	no	—
364	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
367	C₂²×C₄×C₁₃	C₂×D₄	1	2	yes	—
368	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₁₃×Q₁₆	—	4	2	no	—
371	C₁₃×SD₁₆	—	4	2	no	—
372	C₁₃×SD₁₆	—	4	2	no	—
373	C₁₃×SD₁₆	—	4	2	no	—
374	C₁₃×SD₁₆	—	4	2	no	—
375	C₁₃×D₈	—	4	2	no	—
376	C₁₃×D₈	—	4	2	no	—
377	C₁₃×D₈	—	4	2	no	—
378	C₁₃×M₁₆	—	2	2	no	—
379	C₁₃×M₁₆	—	2	2	no	—
380	C₁₃×M₁₆	—	4	2	no	—
381	C₁₃×M₁₆	—	4	2	no	—
382	C₂×C₈×C₁₃	—	2	2	no	—
383	C₂×C₈×C₁₃	—	2	2	no	—
384	C₂×C₈×C₁₃	—	4	2	no	—
385	C₂×C₈×C₁₃	—	4	2	no	—
386	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
387	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
390	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₁₃×C₄⋊C₄	—	2	1	no	—
393	C₁₃×C₄⋊C₄	—	2	1	no	—
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	1	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	2	no	—
401	C₁₃×C₄⋊C₄	—	2	2	no	—
402	C₁₃×C₄⋊C₄	—	2	2	no	—
403	C₁₃×C₄⋊C₄	—	2	1	no	—
404	C₁₃×C₄⋊C₄	—	2	1	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	1	no	—
409	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
410	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
411	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
412	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
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	2	yes	—
418	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
419	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
420	C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	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	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	no	—
434	C₁₃×C₂²⋊C₄	—	2	1	no	—
435	C₁₃×C₂²⋊C₄	—	2	1	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	—	2	2	no	—
440	C₁₃×C₂²⋊C₄	—	2	2	no	—
441	C₁₃×C₂²⋊C₄	—	2	2	no	—
442	C₁₃×C₂²⋊C₄	—	2	2	no	—
443	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
444	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
445	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
446	C₄²×C₁₃	—	2	1	no	—
447	C₄²×C₁₃	—	2	1	no	—
448	C₄²×C₁₃	—	2	1	no	—
449	C₄²×C₁₃	—	2	2	no	—
450	C₄²×C₁₃	—	2	2	no	—
451	C₄²×C₁₃	—	2	1	no	—
452	C₄²×C₁₃	—	2	1	no	—
453	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
454	C₄²×C₁₃	C₂×D₄	1	2	yes	—
455	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
456	C₄²×C₁₃	C₂×D₄	1	2	yes	—
457	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
458	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₄²×C₁₃	C₂⁴	1	2	yes	—
460	#3510	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3460	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3263	C₂×C₁₃	1	2	yes	complemented
463	#3262	C₂×C₁₃	1	2	yes	complemented
464	#3257	C₂×C₁₃	1	2	yes	complemented
465	#3257	C₂×C₁₃	1	2	yes	complemented
466	#3256	C₂×C₁₃	1	2	yes	complemented
467	#3251	C₂×C₁₃	1	2	yes	complemented
468	#3250	C₂×C₁₃	1	2	yes	complemented
469	#3247	C₂×C₁₃	1	2	yes	complemented
470	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
471	#3081	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3077	C₂×C₁₃	1	1	yes	characteristic, complemented
473	#3076	C₂×C₁₃	1	1	yes	characteristic, complemented
474	#3063	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3058	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#3057	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3043	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3041	C₂×C₁₃	1	1	yes	characteristic, complemented
480	#3040	C₂×C₁₃	1	1	yes	characteristic, complemented
481	C₂×#463	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#2906	C₂×C₁₃	1	1	yes	characteristic, complemented
483	C₂³×C₁₃	—	2	2	no	—
484	C₂³×C₁₃	—	2	2	no	—
485	C₂³×C₁₃	—	2	1	no	—
486	C₂³×C₁₃	—	4	2	no	—
487	C₂³×C₁₃	—	4	2	no	—
488	C₂³×C₁₃	—	8	1	no	—
489	C₂³×C₁₃	—	8	1	no	—
490	C₂³×C₁₃	—	8	1	no	—
491	C₂³×C₁₃	—	8	1	no	—
492	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
493	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
494	Q₈×C₁₃	—	2	2	no	—
495	Q₈×C₁₃	—	2	2	no	—
496	Q₈×C₁₃	—	2	1	no	—
497	Q₈×C₁₃	—	2	2	no	—
498	Q₈×C₁₃	—	2	1	no	—
499	Q₈×C₁₃	—	4	2	no	—
500	Q₈×C₁₃	—	8	1	no	—
501	Q₈×C₁₃	—	8	1	no	—
502	Q₈×C₁₃	—	8	2	no	—
503	D₄×C₁₃	—	2	4	no	—
504	D₄×C₁₃	—	2	2	no	—
505	D₄×C₁₃	—	2	2	no	—
506	D₄×C₁₃	—	2	2	no	—
507	D₄×C₁₃	—	2	1	no	—
508	D₄×C₁₃	—	2	2	no	—
509	D₄×C₁₃	—	2	2	no	—
510	D₄×C₁₃	—	2	1	no	—
511	D₄×C₁₃	—	4	2	no	—
512	D₄×C₁₃	—	4	2	no	—
513	D₄×C₁₃	—	4	2	no	—
514	D₄×C₁₃	—	8	2	no	—
515	D₄×C₁₃	—	8	2	no	—
516	D₄×C₁₃	—	8	2	no	—
517	D₄×C₁₃	—	8	2	no	—
518	D₄×C₁₃	—	8	2	no	—
519	D₄×C₁₃	—	8	2	no	—
520	D₄×C₁₃	—	8	2	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	2	no	—
527	C₂×C₄×C₁₃	—	2	1	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	1	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	2	no	—
532	C₂×C₄×C₁₃	—	4	1	no	—
533	C₂×C₄×C₁₃	—	4	2	no	—
534	C₂×C₄×C₁₃	—	4	1	no	—
535	C₂×C₄×C₁₃	—	4	2	no	—
536	C₂×C₄×C₁₃	—	4	4	no	—
537	C₂×C₄×C₁₃	—	4	2	no	—
538	C₂×C₄×C₁₃	—	4	2	no	—
539	C₂×C₄×C₁₃	—	4	2	no	—
540	C₂×C₄×C₁₃	—	8	2	no	—
541	C₂×C₄×C₁₃	—	8	1	no	—
542	C₂×C₄×C₁₃	—	8	2	no	—
543	C₂×C₄×C₁₃	—	8	2	no	—
544	C₂×C₄×C₁₃	—	8	1	no	—
545	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
546	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
547	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
548	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
549	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
550	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
552	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
553	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
554	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
555	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
556	C₈×C₁₃	—	2	1	no	—
557	C₈×C₁₃	—	2	1	no	—
558	C₈×C₁₃	—	2	1	no	—
559	C₈×C₁₃	—	2	1	no	—
560	C₈×C₁₃	—	2	2	no	—
561	C₈×C₁₃	—	2	2	no	—
562	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
563	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
564	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
565	C₂²×D₈	C₂²×C₁₃	1	1	yes	characteristic
566	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
567	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
568	#559	—	2	1	no	—
569	#559	—	2	1	no	—
570	#556	—	2	1	no	—
571	#556	—	2	1	no	—
572	#551	—	2	2	no	—
573	#551	—	2	2	no	—
574	#544	C₂²×C₁₃	1	1	yes	characteristic
575	#542	—	2	1	no	—
576	#542	C₂²×C₁₃	1	2	yes	complemented
577	#542	C₂²×C₁₃	1	2	yes	complemented
578	#542	C₂²×C₁₃	1	2	yes	complemented
579	#540	—	2	1	no	—
580	#540	C₂²×C₁₃	1	2	yes	complemented
581	#538	—	2	2	no	—
582	#537	C₂²×C₁₃	1	1	yes	characteristic
583	#536	C₂²×C₁₃	1	1	yes	characteristic
584	#535	C₂²×C₁₃	1	1	yes	characteristic
585	#535	C₂²×C₁₃	1	1	yes	characteristic
586	#535	C₂²×C₁₃	1	1	yes	characteristic
587	#533	C₂²×C₁₃	1	1	yes	characteristic
588	#532	—	2	1	no	—
589	#532	C₂²×C₁₃	1	2	yes	complemented
590	#529	—	2	1	no	—
591	#529	C₂²×C₁₃	1	2	yes	complemented
592	#529	C₂²×C₁₃	1	2	yes	complemented
593	#529	C₂²×C₁₃	1	2	yes	complemented
594	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
595	#525	—	2	2	no	—
596	#519	C₂²×C₁₃	1	1	yes	characteristic
597	#518	C₂²×C₁₃	1	1	yes	characteristic
598	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
599	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
600	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
601	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	#479	C₂²×C₁₃	1	2	yes	complemented
604	#479	C₂²×C₁₃	1	2	yes	complemented
605	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
606	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#478	C₂²×C₁₃	1	2	yes	complemented
608	#478	C₂²×C₁₃	1	2	yes	complemented
609	#478	C₂²×C₁₃	1	2	yes	complemented
610	#478	C₂²×C₁₃	1	2	yes	complemented
611	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#477	C₂²×C₁₃	1	2	yes	complemented
613	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
614	#476	C₂²×C₁₃	1	2	yes	complemented
615	#476	C₂²×C₁₃	1	2	yes	complemented
616	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#475	C₂²×C₁₃	1	2	yes	complemented
618	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
619	#474	C₂²×C₁₃	1	2	yes	complemented
620	#474	C₂²×C₁₃	1	2	yes	complemented
621	#470	C₂²×C₁₃	1	2	yes	complemented
622	#469	C₂²×C₁₃	1	2	yes	—
623	#469	C₂²×C₁₃	1	2	yes	—
624	#469	C₂²×C₁₃	1	2	yes	complemented
625	#468	C₂²×C₁₃	1	2	yes	complemented
626	#468	C₂²×C₁₃	1	2	yes	complemented
627	#468	C₂²×C₁₃	1	2	yes	complemented
628	#468	C₂²×C₁₃	1	2	yes	complemented
629	#467	C₂²×C₁₃	1	2	yes	complemented
630	#466	C₂²×C₁₃	1	2	yes	—
631	#466	C₂²×C₁₃	1	2	yes	—
632	#466	C₂²×C₁₃	1	2	yes	complemented
633	#465	C₂²×C₁₃	1	2	yes	complemented
634	#465	C₂²×C₁₃	1	2	yes	complemented
635	#465	C₂²×C₁₃	1	2	yes	complemented
636	#465	C₂²×C₁₃	1	2	yes	complemented
637	#464	C₂²×C₁₃	1	2	yes	complemented
638	#464	C₂²×C₁₃	1	2	yes	complemented
639	#464	C₂²×C₁₃	1	2	yes	complemented
640	#464	C₂²×C₁₃	1	2	yes	complemented
641	#463	C₂²×C₁₃	1	2	yes	—
642	#463	C₂²×C₁₃	1	2	yes	—
643	#463	C₂²×C₁₃	1	2	yes	—
644	#463	C₂²×C₁₃	1	2	yes	—
645	#463	C₂²×C₁₃	1	2	yes	—
646	#463	C₂²×C₁₃	1	2	yes	—
647	#463	C₂²×C₁₃	1	2	yes	complemented
648	#463	C₂²×C₁₃	1	2	yes	complemented
649	#460	C₂²×C₁₃	1	2	yes	complemented
650	#460	C₂²×C₁₃	1	2	yes	complemented
651	#459	C₂²×C₁₃	1	2	yes	—
652	#459	C₂²×C₁₃	1	2	yes	—
653	#428	C₂²×C₁₃	1	1	yes	characteristic
654	#428	C₂²×C₁₃	1	1	yes	characteristic
655	#427	C₂²×C₁₃	1	1	yes	characteristic
656	#427	C₂²×C₁₃	1	1	yes	characteristic
657	#424	C₂²×C₁₃	1	1	yes	characteristic
658	#424	C₂²×C₁₃	1	1	yes	characteristic
659	#424	C₂²×C₁₃	1	2	yes	complemented
660	#424	C₂²×C₁₃	1	2	yes	complemented
661	#423	C₂²×C₁₃	1	1	yes	characteristic
662	#423	C₂²×C₁₃	1	2	yes	complemented
663	C₂×C₄⋊C₈	C₂²×C₁₃	1	1	yes	characteristic
664	C₂×C₄⋊C₈	C₂²×C₁₃	1	2	yes	complemented
665	#419	C₂²×C₁₃	1	1	yes	characteristic
666	#418	C₂²×C₁₃	1	1	yes	characteristic
667	#418	C₂²×C₁₃	1	1	yes	characteristic
668	#418	C₂²×C₁₃	1	1	yes	characteristic
669	#416	C₂²×C₁₃	1	1	yes	characteristic
670	#416	C₂²×C₁₃	1	1	yes	characteristic
671	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
672	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
673	C₂²×C₁₃	—	2	1	no	—
674	C₂²×C₁₃	—	2	1	no	—
675	C₂²×C₁₃	—	2	2	no	—
676	C₂²×C₁₃	—	2	2	no	—
677	C₂²×C₁₃	—	2	2	no	—
678	C₂²×C₁₃	—	4	1	no	—
679	C₂²×C₁₃	—	4	2	no	—
680	C₂²×C₁₃	—	4	2	no	—
681	C₂²×C₁₃	—	4	2	no	—
682	C₂²×C₁₃	—	4	1	no	—
683	C₂²×C₁₃	—	4	2	no	—
684	C₂²×C₁₃	—	4	1	no	—
685	C₂²×C₁₃	—	4	2	no	—
686	C₂²×C₁₃	—	4	2	no	—
687	C₂²×C₁₃	—	8	4	no	—
688	C₂²×C₁₃	—	16	2	no	—
689	C₂²×C₁₃	#537	1	2	yes	—
690	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
691	C₄×C₁₃	—	2	1	no	—
692	C₄×C₁₃	—	2	2	no	—
693	C₄×C₁₃	—	2	1	no	—
694	C₄×C₁₃	—	2	1	no	—
695	C₄×C₁₃	—	2	1	no	—
696	C₄×C₁₃	—	2	2	no	—
697	C₄×C₁₃	—	2	2	no	—
698	C₄×C₁₃	—	4	1	no	—
699	C₄×C₁₃	—	4	1	no	—
700	C₄×C₁₃	—	4	1	no	—
701	C₄×C₁₃	—	4	2	no	—
702	C₄×C₁₃	—	4	1	no	—
703	C₄×C₁₃	—	4	1	no	—
704	C₄×C₁₃	—	4	1	no	—
705	C₄×C₁₃	—	4	1	no	—
706	C₄×C₁₃	—	4	2	no	—
707	C₄×C₁₃	#537	1	2	yes	—
708	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
709	C₄×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
710	C₂×#41	—	2	2	no	—
711	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
712	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
713	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
714	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
715	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
716	C₂³×C₄	—	2	1	no	—
717	#137	—	4	2	no	—
718	AGL(1,ℤ/8)	—	4	2	no	—
719	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
720	C₂×SD₁₆	—	4	2	no	—
721	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
722	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
723	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
724	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
725	C₂×D₈	—	4	2	no	—
726	C₂×D₈	C₂³×C₁₃	1	2	yes	—
727	C₂×D₈	C₂³×C₁₃	1	2	yes	—
728	C₂×D₈	C₂³×C₁₃	1	2	yes	—
729	#131	—	4	2	no	—
730	#131	—	4	2	no	—
731	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
732	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
733	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
734	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
735	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
736	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
737	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
738	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
739	C₄⋊Q₈	—	2	1	no	—
740	C₄⋊Q₈	—	2	1	no	—
741	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
742	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
743	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
744	#127	—	2	1	no	—
745	#127	—	2	1	no	—
746	#127	C₂³×C₁₃	1	2	yes	—
747	#126	—	2	2	no	—
748	#126	—	2	2	no	—
749	#126	—	2	2	no	—
750	#126	—	2	2	no	—
751	#126	—	2	2	no	—
752	#126	—	2	2	no	—
753	#125	—	2	1	no	—
754	#125	C₂³×C₁₃	1	1	yes	characteristic
755	#125	C₂³×C₁₃	1	1	yes	characteristic
756	#125	C₂³×C₁₃	1	2	yes	—
757	#124	—	2	1	no	—
758	#124	—	2	1	no	—
759	#124	—	2	1	no	—
760	#124	—	2	2	no	—
761	#124	—	2	2	no	—
762	#124	—	2	2	no	—
763	#124	—	2	1	no	—
764	#124	—	2	1	no	—
765	#124	—	2	2	no	—
766	#124	C₂³×C₁₃	1	2	yes	—
767	#124	C₂³×C₁₃	1	2	yes	—
768	#124	C₂³×C₁₃	1	2	yes	—
769	#123	—	2	2	no	—
770	#123	—	2	2	no	—
771	#123	—	2	2	no	—
772	#123	—	2	2	no	—
773	#123	—	2	2	no	—
774	#123	—	2	2	no	—
775	#123	—	2	2	no	—
776	#123	—	2	2	no	—
777	#123	—	2	2	no	—
778	C₂²⋊Q₈	—	2	1	no	—
779	C₂²⋊Q₈	—	2	1	no	—
780	C₂²⋊Q₈	—	2	1	no	—
781	C₂²⋊Q₈	—	2	2	no	—
782	C₂²⋊Q₈	—	2	2	no	—
783	C₂²⋊Q₈	—	2	2	no	—
784	C₂²⋊Q₈	—	2	2	no	—
785	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
786	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
787	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
788	#121	—	2	2	no	—
789	#121	—	2	1	no	—
790	#121	—	2	2	no	—
791	#121	—	2	1	no	—
792	#121	—	2	1	no	—
793	#121	—	2	2	no	—
794	#121	—	2	2	no	—
795	#121	C₂³×C₁₃	1	2	yes	—
796	#121	C₂³×C₁₃	1	2	yes	—
797	#121	C₂³×C₁₃	1	2	yes	—
798	#121	C₂³×C₁₃	1	2	yes	—
799	#121	C₂³×C₁₃	1	2	yes	—
800	#120	—	2	2	no	—
801	#120	—	2	2	no	—
802	#120	—	2	2	no	—
803	C₄×Q₈	—	2	1	no	—
804	C₄×Q₈	—	2	1	no	—
805	C₄×Q₈	—	2	1	no	—
806	C₄×Q₈	—	2	1	no	—
807	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
808	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
809	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
810	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
811	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
812	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	2	no	—
816	C₄×D₄	—	2	2	no	—
817	C₄×D₄	—	2	2	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	—	2	2	no	—
823	C₄×D₄	D₄×C₁₃	1	2	yes	—
824	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
825	C₄×D₄	D₄×C₁₃	1	2	yes	—
826	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
827	C₄×D₄	C₂³×C₁₃	1	2	yes	—
828	C₄×D₄	C₂³×C₁₃	1	2	yes	—
829	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
830	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
831	C₄×D₄	C₂³×C₁₃	1	2	yes	—
832	C₄×D₄	C₂³×C₁₃	1	2	yes	—
833	#117	—	2	2	no	—
834	#117	—	2	1	no	—
835	#117	—	2	2	no	—
836	#117	—	2	2	no	—
837	#117	—	2	2	no	—
838	#117	C₂³×C₁₃	1	1	yes	characteristic
839	#117	C₂³×C₁₃	1	1	yes	characteristic
840	#117	C₂³×C₁₃	1	1	yes	characteristic
841	#117	C₂³×C₁₃	1	1	yes	characteristic
842	#117	C₂³×C₁₃	1	2	yes	—
843	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
844	C₂×C₂²⋊C₄	—	2	1	no	—
845	C₂×C₂²⋊C₄	—	2	1	no	—
846	C₂×C₂²⋊C₄	—	2	1	no	—
847	C₂×C₂²⋊C₄	—	2	2	no	—
848	C₂×C₄²	—	2	1	no	—
849	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
850	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
851	#107	C₂³×C₁₃	1	1	yes	characteristic
852	#107	C₂³×C₁₃	1	1	yes	characteristic
853	#107	C₂³×C₁₃	1	1	yes	characteristic
854	#107	C₂³×C₁₃	1	1	yes	characteristic
855	#107	C₂³×C₁₃	1	2	yes	—
856	#107	C₂³×C₁₃	1	2	yes	—
857	#106	C₂³×C₁₃	1	1	yes	characteristic
858	#106	C₂³×C₁₃	1	1	yes	characteristic
859	#106	C₂³×C₁₃	1	1	yes	characteristic
860	#106	C₂³×C₁₃	1	1	yes	characteristic
861	#106	C₂³×C₁₃	1	2	yes	—
862	#106	C₂³×C₁₃	1	2	yes	—
863	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
864	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
865	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
866	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
867	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
868	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
869	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
870	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
871	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
872	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
873	#103	C₂³×C₁₃	1	2	yes	—
874	#103	C₂³×C₁₃	1	2	yes	—
875	#103	C₂³×C₁₃	1	1	yes	characteristic
876	#103	C₂³×C₁₃	1	1	yes	characteristic
877	#103	C₂³×C₁₃	1	1	yes	characteristic
878	#103	C₂³×C₁₃	1	1	yes	characteristic
879	#103	C₂³×C₁₃	1	2	yes	—
880	#103	C₂³×C₁₃	1	2	yes	—
881	#102	C₂³×C₁₃	1	2	yes	—
882	#102	C₂³×C₁₃	1	2	yes	—
883	#102	C₂³×C₁₃	1	1	yes	characteristic
884	#102	C₂³×C₁₃	1	1	yes	characteristic
885	#102	C₂³×C₁₃	1	1	yes	characteristic
886	#102	C₂³×C₁₃	1	1	yes	characteristic
887	#102	C₂³×C₁₃	1	2	yes	—
888	#102	C₂³×C₁₃	1	2	yes	—
889	#102	C₂³×C₁₃	1	2	yes	—
890	#102	C₂³×C₁₃	1	2	yes	—
891	#102	C₂³×C₁₃	1	2	yes	—
892	#102	C₂³×C₁₃	1	2	yes	—
893	C₂×C₁₃	—	2	2	no	—
894	C₂×C₁₃	—	4	2	no	—
895	C₂×C₁₃	—	8	1	no	—
896	C₂×C₁₃	—	8	2	no	—
897	C₂×C₁₃	—	8	2	no	—
898	C₂×C₁₃	C₂×#537	1	1	yes	characteristic
899	C₂×C₁₃	#3584	1	1	yes	characteristic
900	C₂×C₁₃	#3585	1	1	yes	characteristic
901	C₂⁴	—	2	1	no	—
902	C₂⁴	—	2	1	no	—
903	#41	—	2	2	no	—
904	#41	—	2	2	no	—
905	#41	—	2	2	no	—
906	#41	—	2	2	no	—
907	#41	—	8	4	no	—
908	C₂×Q₈	—	2	1	no	—
909	C₂×Q₈	—	2	1	no	—
910	C₂×Q₈	—	2	1	no	—
911	C₂×Q₈	—	2	2	no	—
912	C₂×Q₈	—	2	2	no	—
913	C₂×Q₈	—	2	2	no	—
914	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
915	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
916	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
917	C₂×D₄	—	2	1	no	—
918	C₂×D₄	—	2	2	no	—
919	C₂×D₄	—	2	2	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	2	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	1	no	—
924	C₂×D₄	—	2	1	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	2	no	—
929	C₂×D₄	—	2	2	no	—
930	C₂×D₄	—	2	2	no	—
931	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
932	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
933	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
934	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
935	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
936	C₂²×C₄	—	2	1	no	—
937	C₂²×C₄	—	2	1	no	—
938	C₂²×C₄	—	2	1	no	—
939	C₂²×C₄	—	2	1	no	—
940	C₂²×C₄	—	2	2	no	—
941	C₂²×C₄	—	2	1	no	—
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	2	no	—
944	C₂²×C₄	—	2	2	no	—
945	C₂²×C₄	—	8	2	no	—
946	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
947	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
948	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
949	C₂²×C₄	C₂×D₄×C₁₃	1	2	yes	—
950	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
951	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
952	Q₁₆	—	4	2	no	—
953	SD₁₆	—	4	2	no	—
954	SD₁₆	—	4	2	no	—
955	SD₁₆	—	4	2	no	—
956	SD₁₆	—	4	2	no	—
957	D₈	—	4	2	no	—
958	D₈	—	4	2	no	—
959	D₈	—	4	2	no	—
960	M₁₆	—	2	2	no	—
961	M₁₆	—	2	2	no	—
962	M₁₆	—	4	2	no	—
963	M₁₆	—	4	2	no	—
964	C₂×C₈	—	2	2	no	—
965	C₂×C₈	—	2	2	no	—
966	C₂×C₈	—	4	2	no	—
967	C₂×C₈	—	4	2	no	—
968	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
969	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
970	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
971	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
972	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
973	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	2	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	2	no	—
983	C₄⋊C₄	—	2	2	no	—
984	C₄⋊C₄	—	2	2	no	—
985	C₄⋊C₄	—	2	1	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	2	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	1	no	—
990	C₄⋊C₄	—	2	1	no	—
991	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
992	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
993	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
994	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
995	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
996	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
997	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1000	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1001	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1002	C₂²⋊C₄	—	2	1	no	—
1003	C₂²⋊C₄	—	2	1	no	—
1004	C₂²⋊C₄	—	2	1	no	—
1005	C₂²⋊C₄	—	2	2	no	—
1006	C₂²⋊C₄	—	2	2	no	—
1007	C₂²⋊C₄	—	2	2	no	—
1008	C₂²⋊C₄	—	2	2	no	—
1009	C₂²⋊C₄	—	2	2	no	—
1010	C₂²⋊C₄	—	2	2	no	—
1011	C₂²⋊C₄	—	2	2	no	—
1012	C₂²⋊C₄	—	2	2	no	—
1013	C₂²⋊C₄	—	2	2	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	2	no	—
1016	C₂²⋊C₄	—	2	1	no	—
1017	C₂²⋊C₄	—	2	1	no	—
1018	C₂²⋊C₄	—	2	2	no	—
1019	C₂²⋊C₄	—	2	2	no	—
1020	C₂²⋊C₄	—	2	2	no	—
1021	C₂²⋊C₄	—	2	2	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1026	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1027	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1028	C₄²	—	2	1	no	—
1029	C₄²	—	2	1	no	—
1030	C₄²	—	2	1	no	—
1031	C₄²	—	2	2	no	—
1032	C₄²	—	2	2	no	—
1033	C₄²	—	2	1	no	—
1034	C₄²	—	2	1	no	—
1035	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1036	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1037	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1038	C₄²	C₂×D₄×C₁₃	1	2	yes	—
1039	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1040	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1041	C₄²	C₂⁴×C₁₃	1	2	yes	—
1042	C₁₃	#60926	1	1	yes	characteristic, direct product factor, Sylow
1043	C₂³	—	2	2	no	—
1044	C₂³	—	2	2	no	—
1045	C₂³	—	2	1	no	—
1046	C₂³	—	4	2	no	—
1047	C₂³	—	4	2	no	—
1048	C₂³	—	8	1	no	—
1049	C₂³	—	8	1	no	—
1050	C₂³	—	8	1	no	—
1051	C₂³	—	8	1	no	—
1052	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1053	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1054	Q₈	—	2	2	no	—
1055	Q₈	—	2	2	no	—
1056	Q₈	—	2	1	no	—
1057	Q₈	—	2	2	no	—
1058	Q₈	—	2	1	no	—
1059	Q₈	—	4	2	no	—
1060	Q₈	—	8	2	no	—
1061	Q₈	—	8	1	no	—
1062	Q₈	—	8	1	no	—
1063	D₄	—	2	4	no	—
1064	D₄	—	2	2	no	—
1065	D₄	—	2	2	no	—
1066	D₄	—	2	2	no	—
1067	D₄	—	2	1	no	—
1068	D₄	—	2	2	no	—
1069	D₄	—	2	2	no	—
1070	D₄	—	2	1	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	4	2	no	—
1073	D₄	—	4	2	no	—
1074	D₄	—	8	2	no	—
1075	D₄	—	8	2	no	—
1076	D₄	—	8	2	no	—
1077	D₄	—	8	2	no	—
1078	D₄	—	8	2	no	—
1079	D₄	—	8	2	no	—
1080	D₄	—	8	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	4	1	no	—
1093	C₂×C₄	—	4	2	no	—
1094	C₂×C₄	—	4	1	no	—
1095	C₂×C₄	—	4	2	no	—
1096	C₂×C₄	—	4	4	no	—
1097	C₂×C₄	—	4	2	no	—
1098	C₂×C₄	—	4	2	no	—
1099	C₂×C₄	—	4	2	no	—
1100	C₂×C₄	—	8	2	no	—
1101	C₂×C₄	—	8	2	no	—
1102	C₂×C₄	—	8	1	no	—
1103	C₂×C₄	—	8	2	no	—
1104	C₂×C₄	—	8	1	no	—
1105	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1106	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1107	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1108	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1109	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1110	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1111	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1112	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1113	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1114	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1115	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1116	C₈	—	2	1	no	—
1117	C₈	—	2	1	no	—
1118	C₈	—	2	1	no	—
1119	C₈	—	2	1	no	—
1120	C₈	—	2	2	no	—
1121	C₈	—	2	2	no	—
1122	C₂²	—	2	1	no	—
1123	C₂²	—	2	1	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	2	2	no	—
1127	C₂²	—	4	1	no	—
1128	C₂²	—	4	2	no	—
1129	C₂²	—	4	2	no	—
1130	C₂²	—	4	2	no	—
1131	C₂²	—	4	1	no	—
1132	C₂²	—	4	2	no	—
1133	C₂²	—	4	1	no	—
1134	C₂²	—	4	2	no	—
1135	C₂²	—	4	2	no	—
1136	C₂²	—	8	4	no	—
1137	C₂²	—	16	2	no	—
1138	C₂²	C₁₃×#537	1	2	yes	—
1139	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1140	C₄	—	2	1	no	—
1141	C₄	—	2	2	no	—
1142	C₄	—	2	1	no	—
1143	C₄	—	2	1	no	—
1144	C₄	—	2	1	no	—
1145	C₄	—	2	2	no	—
1146	C₄	—	2	2	no	—
1147	C₄	—	4	1	no	—
1148	C₄	—	4	1	no	—
1149	C₄	—	4	1	no	—
1150	C₄	—	4	2	no	—
1151	C₄	—	4	1	no	—
1152	C₄	—	4	1	no	—
1153	C₄	—	4	1	no	—
1154	C₄	—	4	1	no	—
1155	C₄	—	4	2	no	—
1156	C₄	C₁₃×#537	1	2	yes	—
1157	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1158	C₄	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1159	C₂	—	2	2	no	—
1160	C₂	—	4	2	no	—
1161	C₂	—	8	2	no	—
1162	C₂	—	8	2	no	—
1163	C₂	—	8	1	no	—
1164	C₂	C₂×C₁₃×#537	1	1	yes	characteristic
1165	C₂	C₁₃×#3584	1	1	yes	characteristic
1166	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ 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×#3460	C₂	semidirect
3. C₁₃×#3263	C₂	semidirect
4. C₁₃×#3262	C₂	semidirect
5. C₁₃×#3257	C₂	semidirect
6. C₁₃×#3257	C₂	semidirect
7. C₁₃×#3256	C₂	semidirect
8. C₁₃×#3251	C₂	semidirect
9. C₁₃×#3250	C₂	semidirect
10. C₁₃×#3247	C₂	semidirect
11. C₁₃×#3082	C₂	semidirect
12. C₁₃×#3081	C₂	semidirect
13. C₁₃×#3077	C₂	semidirect
14. C₁₃×#3076	C₂	semidirect
15. C₁₃×#3063	C₂	semidirect
16. C₁₃×#3062	C₂	semidirect
17. C₁₃×#3058	C₂	semidirect
18. C₁₃×#3057	C₂	semidirect
19. C₁₃×#3043	C₂	semidirect
20. C₁₃×#3041	C₂	semidirect
21. C₁₃×#3040	C₂	semidirect
22. C₂×C₁₃×#463	C₂	semidirect
23. C₁₃×#2906	C₂	semidirect
38. C₁₃×#542	C₂²	semidirect
39. C₁₃×#542	C₂²	semidirect
40. C₁₃×#542	C₂²	semidirect
42. C₁₃×#540	C₂²	semidirect
51. C₁₃×#532	C₂²	semidirect
53. C₁₃×#529	C₂²	semidirect
54. C₁₃×#529	C₂²	semidirect
55. 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×#478	C₂²	semidirect
68. C₁₃×#478	C₂²	semidirect
69. C₁₃×#478	C₂²	semidirect
70. C₁₃×#478	C₂²	semidirect
71. C₁₃×#478	C₂²	semidirect
72. C₁₃×#478	C₂²	semidirect
73. C₁₃×#477	C₂²	semidirect
74. C₁₃×#477	C₂²	semidirect
75. C₁₃×#476	C₂²	semidirect
76. C₁₃×#476	C₂²	semidirect
77. C₁₃×#476	C₂²	semidirect
78. C₁₃×#475	C₂²	semidirect
79. C₁₃×#475	C₂²	semidirect
80. C₁₃×#474	C₂²	semidirect
81. C₁₃×#474	C₂²	semidirect
82. C₁₃×#474	C₂²	semidirect
83. C₁₃×#470	C₂²	semidirect
86. C₁₃×#469	C₂²	semidirect
87. C₁₃×#468	C₂²	semidirect
88. C₁₃×#468	C₂²	semidirect
89. C₁₃×#468	C₂²	semidirect
90. C₁₃×#468	C₂²	semidirect
91. C₁₃×#467	C₂²	semidirect
94. C₁₃×#466	C₂²	semidirect
95. C₁₃×#465	C₂²	semidirect
96. C₁₃×#465	C₂²	semidirect
97. C₁₃×#465	C₂²	semidirect
98. C₁₃×#465	C₂²	semidirect
99. C₁₃×#464	C₂²	semidirect
100. C₁₃×#464	C₂²	semidirect
101. C₁₃×#464	C₂²	semidirect
102. C₁₃×#464	C₂²	semidirect
109. C₁₃×#463	C₂²	semidirect
110. C₁₃×#463	C₂²	semidirect
111. C₁₃×#460	C₂²	semidirect
112. C₁₃×#460	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. #60926	C₁₃	direct (N × H)
460. #3510	C₂×C₁₃	semidirect
461. #3460	C₂×C₁₃	semidirect
462. #3263	C₂×C₁₃	semidirect
463. #3262	C₂×C₁₃	semidirect
464. #3257	C₂×C₁₃	semidirect
465. #3257	C₂×C₁₃	semidirect
466. #3256	C₂×C₁₃	semidirect
467. #3251	C₂×C₁₃	semidirect
468. #3250	C₂×C₁₃	semidirect
469. #3247	C₂×C₁₃	semidirect
470. #3082	C₂×C₁₃	semidirect
471. #3081	C₂×C₁₃	semidirect
472. #3077	C₂×C₁₃	semidirect
473. #3076	C₂×C₁₃	semidirect
474. #3063	C₂×C₁₃	semidirect
475. #3062	C₂×C₁₃	semidirect
476. #3058	C₂×C₁₃	semidirect
477. #3057	C₂×C₁₃	semidirect
478. #3043	C₂×C₁₃	semidirect
479. #3041	C₂×C₁₃	semidirect
480. #3040	C₂×C₁₃	semidirect
481. C₂×#463	C₂×C₁₃	semidirect
482. #2906	C₂×C₁₃	semidirect
576. #542	C₂²×C₁₃	semidirect
577. #542	C₂²×C₁₃	semidirect
578. #542	C₂²×C₁₃	semidirect
580. #540	C₂²×C₁₃	semidirect
589. #532	C₂²×C₁₃	semidirect
591. #529	C₂²×C₁₃	semidirect
592. #529	C₂²×C₁₃	semidirect
593. #529	C₂²×C₁₃	semidirect
601. #479	C₂²×C₁₃	semidirect
602. #479	C₂²×C₁₃	semidirect
603. #479	C₂²×C₁₃	semidirect
604. #479	C₂²×C₁₃	semidirect
605. #478	C₂²×C₁₃	semidirect
606. #478	C₂²×C₁₃	semidirect
607. #478	C₂²×C₁₃	semidirect
608. #478	C₂²×C₁₃	semidirect
609. #478	C₂²×C₁₃	semidirect
610. #478	C₂²×C₁₃	semidirect
611. #477	C₂²×C₁₃	semidirect
612. #477	C₂²×C₁₃	semidirect
613. #476	C₂²×C₁₃	semidirect
614. #476	C₂²×C₁₃	semidirect
615. #476	C₂²×C₁₃	semidirect
616. #475	C₂²×C₁₃	semidirect
617. #475	C₂²×C₁₃	semidirect
618. #474	C₂²×C₁₃	semidirect
619. #474	C₂²×C₁₃	semidirect
620. #474	C₂²×C₁₃	semidirect
621. #470	C₂²×C₁₃	semidirect
624. #469	C₂²×C₁₃	semidirect
625. #468	C₂²×C₁₃	semidirect
626. #468	C₂²×C₁₃	semidirect
627. #468	C₂²×C₁₃	semidirect
628. #468	C₂²×C₁₃	semidirect
629. #467	C₂²×C₁₃	semidirect
632. #466	C₂²×C₁₃	semidirect
633. #465	C₂²×C₁₃	semidirect
634. #465	C₂²×C₁₃	semidirect
635. #465	C₂²×C₁₃	semidirect
636. #465	C₂²×C₁₃	semidirect
637. #464	C₂²×C₁₃	semidirect
638. #464	C₂²×C₁₃	semidirect
639. #464	C₂²×C₁₃	semidirect
640. #464	C₂²×C₁₃	semidirect
647. #463	C₂²×C₁₃	semidirect
648. #463	C₂²×C₁₃	semidirect
649. #460	C₂²×C₁₃	semidirect
650. #460	C₂²×C₁₃	semidirect
659. #424	C₂²×C₁₃	semidirect
660. #424	C₂²×C₁₃	semidirect
662. #423	C₂²×C₁₃	semidirect
664. C₂×C₄⋊C₈	C₂²×C₁₃	semidirect
1042. C₁₃	#60926	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×#3460	2
C₁₃×#3263	2
C₁₃×#3262	2
C₁₃×#3257	2
C₁₃×#3256	2
C₁₃×#3251	2
C₁₃×#3250	2
C₁₃×#3247	2
C₁₃×#3082	2
C₁₃×#3081	2
C₁₃×#3077	2
C₁₃×#3076	2
C₁₃×#3063	2
C₁₃×#3062	2
C₁₃×#3058	2
C₁₃×#3057	2
C₁₃×#3043	2
C₁₃×#3041	2
C₁₃×#3040	2
C₂×C₁₃×#463	2
C₁₃×#2906	2
#60926	13

Subgroups — C13×#60926 #15747265

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#60926 #15747265