Subgroups — C₁₃×#61494 #15747833

Order 3328.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1174 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3517	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3514	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3386	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3365	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3358	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3353	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3347	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3305	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3304	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3297	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3294	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3268	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3179	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3169	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3124	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3122	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2966	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2946	C₂	1	2	yes	maximal, complemented
23	C₄×C₁₃×#135	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
25	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
26	C₁₃×#559	C₂²	1	1	yes	characteristic
27	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#556	C₂²	1	1	yes	characteristic
29	C₁₃×#555	C₂²	1	2	yes	—
30	C₁₃×#553	—	2	2	no	—
31	C₁₃×#553	C₂²	1	2	yes	complemented
32	C₁₃×#551	—	2	2	no	—
33	C₁₃×#550	—	2	1	no	—
34	C₁₃×#550	C₂²	1	1	yes	characteristic
35	C₁₃×#550	C₂²	1	2	yes	complemented
36	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
37	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
38	C₁₃×#548	—	2	1	no	—
39	C₁₃×#547	—	2	1	no	—
40	C₁₃×#547	C₂²	1	1	yes	characteristic
41	C₁₃×#546	—	2	1	no	—
42	C₁₃×#546	C₂²	1	2	yes	—
43	D₄²×C₁₃	C₂²	1	1	yes	characteristic
44	C₁₃×#542	C₂²	1	2	yes	—
45	C₁₃×#540	—	2	2	no	—
46	C₁₃×#540	C₂²	1	2	yes	complemented
47	C₁₃×#538	—	2	2	no	—
48	C₁₃×#532	—	2	1	no	—
49	C₁₃×#532	C₂²	1	1	yes	characteristic
50	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#529	—	2	1	no	—
52	C₁₃×#529	—	2	1	no	—
53	C₁₃×#529	C₂²	1	1	yes	characteristic
54	C₂×C₁₃×#124	—	2	1	no	—
55	C₁₃×#520	C₂²	1	2	yes	complemented
56	C₁₃×#518	C₂²	1	2	yes	—
57	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
58	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#501	C₂²	1	2	yes	complemented
60	C₁₃×#500	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#496	C₂²	1	2	yes	complemented
62	C₁₃×#493	C₂²	1	1	yes	characteristic
63	C₁₃×#488	C₂²	1	2	yes	complemented
64	C₁₃×#486	C₂²	1	1	yes	characteristic
65	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#486	C₂²	1	2	yes	complemented
67	C₁₃×#484	C₂²	1	2	yes	complemented
68	C₁₃×#482	C₂²	1	2	yes	complemented
69	C₁₃×#482	C₂²	1	2	yes	complemented
70	C₁₃×#482	C₂²	1	2	yes	complemented
71	C₁₃×#482	C₂²	1	2	yes	complemented
72	C₁₃×#480	C₂²	1	2	yes	—
73	C₁₃×#478	C₂²	1	2	yes	—
74	C₁₃×#478	C₂²	1	2	yes	complemented
75	C₁₃×#477	C₂²	1	2	yes	complemented
76	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#474	C₂²	1	1	yes	characteristic
79	C₁₃×#474	C₂²	1	2	yes	complemented
80	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#469	C₂²	1	2	yes	—
82	C₁₃×#468	C₂²	1	2	yes	complemented
83	C₁₃×#466	C₂²	1	2	yes	—
84	C₁₃×#466	C₂²	1	2	yes	complemented
85	C₁₃×#466	C₂²	1	2	yes	complemented
86	C₁₃×#465	C₂²	1	2	yes	complemented
87	C₁₃×#464	C₂²	1	2	yes	complemented
88	C₁₃×#463	C₂²	1	2	yes	complemented
89	C₁₃×#460	C₂²	1	1	yes	characteristic
90	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#459	C₂²	1	2	yes	—
92	C₁₃×#459	C₂²	1	1	yes	characteristic
93	C₁₃×#459	C₂²	1	1	yes	characteristic
94	C₁₃×#459	C₂²	1	2	yes	complemented
95	C₁₃×#452	C₂²	1	2	yes	complemented
96	C₁₃×#449	C₂²	1	2	yes	—
97	C₁₃×#449	C₂²	1	2	yes	—
98	C₁₃×#449	C₂²	1	2	yes	complemented
99	C₁₃×#447	C₂²	1	2	yes	—
100	C₁₃×#447	C₂²	1	2	yes	—
101	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
102	C₈×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#442	C₂²	1	2	yes	—
104	C₁₃×#442	C₂²	1	2	yes	complemented
105	C₁₃×#442	C₂²	1	2	yes	complemented
106	C₁₃×#440	C₂²	1	2	yes	—
107	C₁₃×#440	C₂²	1	2	yes	complemented
108	C₁₃×#440	C₂²	1	2	yes	complemented
109	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
110	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
111	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
113	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
114	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
115	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
116	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
117	C₄×C₁₃×D₈	C₂²	1	2	yes	—
118	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
120	C₄×C₁₃×D₈	C₂²	1	2	yes	complemented
121	C₁₃×#436	C₂²	1	1	yes	characteristic
122	C₁₃×#435	C₂²	1	2	yes	complemented
123	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
124	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
125	C₁₃×#433	C₂²	1	2	yes	complemented
126	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#428	C₂²	1	2	yes	complemented
128	C₁₃×#427	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#416	C₂²	1	1	yes	characteristic
130	C₁₃×#416	C₂²	1	2	yes	complemented
131	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₁₃×#102	C₂²	1	2	yes	—
133	C₁₃×#405	C₂²	1	2	yes	complemented
134	C₂×C₄×C₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×C₁₃×#41	—	2	1	no	—
136	C₂×C₁₃×#41	—	2	1	no	—
137	C₂×C₁₃×#41	—	2	1	no	—
138	C₂×C₁₃×#41	—	2	1	no	—
139	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
140	C₂×C₁₃×#41	C₂³	1	2	yes	—
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂²×Q₈×C₁₃	—	2	1	no	—
143	C₂²×D₄×C₁₃	—	2	1	no	—
144	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
145	C₁₃×AGL(1,ℤ/8)	—	2	8	no	—
146	C₁₃×#135	—	2	4	no	—
147	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
148	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
151	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
152	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
153	C₂×C₁₃×D₈	C₂³	1	2	yes	—
154	C₂×C₁₃×D₈	C₂³	1	2	yes	—
155	C₂×C₁₃×D₈	C₂³	1	2	yes	—
156	C₂×C₁₃×D₈	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	C₁₃×C₄⋊Q₈	—	2	1	no	—
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
164	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
165	C₁₃×#127	—	2	1	no	—
166	C₁₃×#127	—	2	2	no	—
167	C₁₃×#127	C₂³	1	2	yes	—
168	C₁₃×#127	C₂³	1	1	yes	characteristic
169	C₁₃×#127	C₂³	1	1	yes	characteristic
170	C₁₃×#126	—	2	2	no	—
171	C₁₃×#126	—	2	2	no	—
172	C₁₃×#126	—	2	2	no	—
173	C₁₃×#126	D₄	1	2	yes	—
174	C₁₃×#125	—	2	2	no	—
175	C₁₃×#125	D₄	1	1	yes	characteristic
176	C₁₃×#125	C₂³	1	2	yes	—
177	C₁₃×#124	—	2	1	no	—
178	C₁₃×#124	—	2	1	no	—
179	C₁₃×#124	—	2	2	no	—
180	C₁₃×#124	—	2	2	no	—
181	C₁₃×#124	—	2	2	no	—
182	C₁₃×#124	—	2	1	no	—
183	C₁₃×#124	—	2	1	no	—
184	C₁₃×#124	D₄	1	1	yes	characteristic
185	C₁₃×#124	C₂³	1	2	yes	—
186	C₁₃×#123	—	2	2	no	—
187	C₁₃×#123	—	2	2	no	—
188	C₁₃×#123	—	2	2	no	—
189	C₁₃×#123	—	2	2	no	—
190	C₁₃×#123	—	2	2	no	—
191	C₁₃×#123	—	2	2	no	—
192	C₁₃×#123	—	2	2	no	—
193	C₁₃×#123	D₄	1	2	yes	—
194	C₁₃×C₂²⋊Q₈	—	2	1	no	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	2	no	—
197	C₁₃×C₂²⋊Q₈	—	2	2	no	—
198	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
199	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
200	C₁₃×#121	—	2	2	no	—
201	C₁₃×#121	—	2	2	no	—
202	C₁₃×#121	—	2	1	no	—
203	C₁₃×#121	—	2	1	no	—
204	C₁₃×#121	—	2	1	no	—
205	C₁₃×#121	—	2	1	no	—
206	C₁₃×#121	—	2	2	no	—
207	C₁₃×#121	—	2	2	no	—
208	C₁₃×#121	—	2	2	no	—
209	C₁₃×#121	—	2	2	no	—
210	C₁₃×#121	—	2	2	no	—
211	C₁₃×#121	—	2	2	no	—
212	C₁₃×#121	—	2	2	no	—
213	C₁₃×#121	D₄	1	1	yes	characteristic
214	C₁₃×#121	C₂³	1	2	yes	—
215	C₁₃×#121	C₂³	1	2	yes	—
216	C₁₃×#121	C₂³	1	2	yes	—
217	C₁₃×#121	C₂³	1	2	yes	—
218	C₁₃×#121	C₂³	1	2	yes	—
219	C₁₃×#120	—	2	2	no	—
220	C₁₃×#120	—	2	2	no	—
221	C₄×Q₈×C₁₃	—	2	1	no	—
222	C₄×Q₈×C₁₃	—	2	1	no	—
223	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
228	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	—	2	1	no	—
232	C₄×D₄×C₁₃	—	2	1	no	—
233	C₄×D₄×C₁₃	—	2	2	no	—
234	C₄×D₄×C₁₃	—	2	2	no	—
235	C₄×D₄×C₁₃	—	2	1	no	—
236	C₄×D₄×C₁₃	—	2	1	no	—
237	C₄×D₄×C₁₃	—	2	2	no	—
238	C₄×D₄×C₁₃	—	2	2	no	—
239	C₄×D₄×C₁₃	—	2	2	no	—
240	C₄×D₄×C₁₃	—	2	2	no	—
241	C₄×D₄×C₁₃	—	2	1	no	—
242	C₄×D₄×C₁₃	—	2	1	no	—
243	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
244	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
245	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
246	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×D₄×C₁₃	C₂³	1	2	yes	—
248	C₄×D₄×C₁₃	C₂³	1	2	yes	—
249	C₄×D₄×C₁₃	C₂³	1	2	yes	—
250	C₄×D₄×C₁₃	C₂³	1	2	yes	—
251	C₄×D₄×C₁₃	C₂³	1	2	yes	—
252	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
253	C₄×D₄×C₁₃	C₂³	1	2	yes	—
254	C₁₃×#117	—	2	2	no	—
255	C₁₃×#117	—	2	2	no	—
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	—	2	1	no	—
258	C₁₃×#117	C₂³	1	1	yes	characteristic
259	C₁₃×#117	C₂³	1	1	yes	characteristic
260	C₁₃×#117	C₂³	1	2	yes	—
261	C₁₃×#117	C₂³	1	2	yes	—
262	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
264	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
265	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
266	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
267	C₂×C₄²×C₁₃	—	2	1	no	—
268	C₂×C₄²×C₁₃	—	2	1	no	—
269	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
270	C₁₃×#107	C₂³	1	1	yes	characteristic
271	C₁₃×#107	C₂³	1	1	yes	characteristic
272	C₁₃×#107	C₂³	1	2	yes	—
273	C₁₃×#107	C₂³	1	2	yes	—
274	C₁₃×#107	C₂³	1	2	yes	—
275	C₁₃×#107	C₂³	1	2	yes	—
276	C₁₃×#106	C₂³	1	1	yes	characteristic
277	C₁₃×#106	C₂³	1	1	yes	characteristic
278	C₁₃×#106	C₂³	1	2	yes	—
279	C₁₃×#106	C₂³	1	2	yes	—
280	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
283	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
284	C₁₃×#103	C₂³	1	1	yes	characteristic
285	C₁₃×#103	C₂³	1	1	yes	characteristic
286	C₁₃×#103	C₂³	1	1	yes	characteristic
287	C₁₃×#103	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	2	yes	—
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#102	C₂³	1	1	yes	characteristic
291	C₁₃×#102	C₂³	1	2	yes	—
292	C₁₃×#102	C₂³	1	2	yes	—
293	C₁₃×#102	C₂³	1	2	yes	—
294	C₁₃×#102	C₂³	1	1	yes	characteristic
295	C₁₃×#102	C₂³	1	2	yes	—
296	C₁₃×#102	C₂³	1	1	yes	characteristic
297	C₁₃×#102	C₂³	1	1	yes	characteristic
298	C₁₃×#102	C₂³	1	2	yes	—
299	C₁₃×#102	C₂³	1	2	yes	—
300	C₁₃×#102	C₂³	1	2	yes	—
301	C₁₃×#102	C₂³	1	2	yes	—
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
305	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
306	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
307	C₁₃×#97	C₂³	1	2	yes	—
308	C₁₃×#97	C₂³	1	2	yes	—
309	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
310	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₁₃	C₂³	1	2	yes	—
314	#61494	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
315	C₂⁴×C₁₃	—	2	2	no	—
316	C₁₃×#41	—	2	2	no	—
317	C₁₃×#41	—	2	4	no	—
318	C₁₃×#41	—	2	2	no	—
319	C₁₃×#41	—	4	2	no	—
320	C₁₃×#41	—	4	1	no	—
321	C₁₃×#41	—	4	1	no	—
322	C₁₃×#41	—	8	2	no	—
323	C₁₃×#41	—	8	2	no	—
324	C₁₃×#41	—	8	2	no	—
325	C₁₃×#41	—	8	2	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	—	8	2	no	—
330	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
331	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
332	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
333	C₂×D₄×C₁₃	—	2	4	no	—
334	C₂×D₄×C₁₃	—	2	1	no	—
335	C₂×D₄×C₁₃	—	2	2	no	—
336	C₂×D₄×C₁₃	—	2	1	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	2	no	—
342	C₂×D₄×C₁₃	—	2	2	no	—
343	C₂×D₄×C₁₃	—	2	1	no	—
344	C₂×D₄×C₁₃	—	2	1	no	—
345	C₂×D₄×C₁₃	—	2	1	no	—
346	C₂×D₄×C₁₃	—	2	1	no	—
347	C₂×D₄×C₁₃	—	2	2	no	—
348	C₂×D₄×C₁₃	—	2	2	no	—
349	C₂×D₄×C₁₃	—	4	2	no	—
350	C₂×D₄×C₁₃	—	8	2	no	—
351	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
352	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
353	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
354	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
355	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	—	2	2	no	—
358	C₂²×C₄×C₁₃	—	2	1	no	—
359	C₂²×C₄×C₁₃	—	2	1	no	—
360	C₂²×C₄×C₁₃	—	2	1	no	—
361	C₂²×C₄×C₁₃	—	2	1	no	—
362	C₂²×C₄×C₁₃	—	2	2	no	—
363	C₂²×C₄×C₁₃	—	2	1	no	—
364	C₂²×C₄×C₁₃	—	2	1	no	—
365	C₂²×C₄×C₁₃	—	2	2	no	—
366	C₂²×C₄×C₁₃	—	2	2	no	—
367	C₂²×C₄×C₁₃	—	2	2	no	—
368	C₂²×C₄×C₁₃	—	2	2	no	—
369	C₂²×C₄×C₁₃	—	2	2	no	—
370	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
374	C₁₃×Q₁₆	—	2	2	no	—
375	C₁₃×SD₁₆	—	2	4	no	—
376	C₁₃×SD₁₆	—	2	2	no	—
377	C₁₃×SD₁₆	—	4	2	no	—
378	C₁₃×SD₁₆	#41	1	4	yes	complemented
379	C₁₃×D₈	—	2	2	no	—
380	C₁₃×D₈	—	2	4	no	—
381	C₁₃×D₈	—	2	4	no	—
382	C₁₃×D₈	—	4	2	no	—
383	C₁₃×D₈	—	4	2	no	—
384	C₁₃×M₁₆	—	2	4	no	—
385	C₂×C₈×C₁₃	—	2	2	no	—
386	C₂×C₈×C₁₃	—	4	1	no	—
387	C₂×C₈×C₁₃	—	4	2	no	—
388	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
392	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
393	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₁₃×C₄⋊C₄	—	2	1	no	—
395	C₁₃×C₄⋊C₄	—	2	2	no	—
396	C₁₃×C₄⋊C₄	—	2	2	no	—
397	C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₁₃×C₄⋊C₄	—	2	1	no	—
400	C₁₃×C₄⋊C₄	—	2	2	no	—
401	C₁₃×C₄⋊C₄	—	2	1	no	—
402	C₁₃×C₄⋊C₄	—	2	1	no	—
403	C₁₃×C₄⋊C₄	—	2	2	no	—
404	C₁₃×C₄⋊C₄	—	2	2	no	—
405	C₁₃×C₄⋊C₄	—	2	2	no	—
406	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
407	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
408	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
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	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	2	yes	—
416	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
418	C₁₃×C₂²⋊C₄	—	2	2	no	—
419	C₁₃×C₂²⋊C₄	—	2	2	no	—
420	C₁₃×C₂²⋊C₄	—	2	1	no	—
421	C₁₃×C₂²⋊C₄	—	2	1	no	—
422	C₁₃×C₂²⋊C₄	—	2	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	1	no	—
429	C₁₃×C₂²⋊C₄	—	2	2	no	—
430	C₁₃×C₂²⋊C₄	—	2	1	no	—
431	C₁₃×C₂²⋊C₄	—	2	1	no	—
432	C₁₃×C₂²⋊C₄	—	2	2	no	—
433	C₁₃×C₂²⋊C₄	—	2	2	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	C₂×D₄	1	2	yes	—
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	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
443	C₄²×C₁₃	—	2	1	no	—
444	C₄²×C₁₃	—	2	1	no	—
445	C₄²×C₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
452	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
453	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
455	C₄²×C₁₃	C₂⁴	1	2	yes	—
456	#3517	C₂×C₁₃	1	1	yes	characteristic, complemented
457	#3514	C₂×C₁₃	1	1	yes	characteristic, complemented
458	#3399	C₂×C₁₃	1	1	yes	characteristic, complemented
459	#3386	C₂×C₁₃	1	1	yes	characteristic, complemented
460	#3365	C₂×C₁₃	1	1	yes	characteristic, complemented
461	#3358	C₂×C₁₃	1	1	yes	characteristic, complemented
462	#3353	C₂×C₁₃	1	1	yes	characteristic, complemented
463	#3347	C₂×C₁₃	1	2	yes	complemented
464	#3305	C₂×C₁₃	1	2	yes	complemented
465	#3304	C₂×C₁₃	1	1	yes	characteristic, complemented
466	#3297	C₂×C₁₃	1	2	yes	complemented
467	#3294	C₂×C₁₃	1	1	yes	characteristic, complemented
468	#3274	C₂×C₁₃	1	1	yes	characteristic, complemented
469	#3268	C₂×C₁₃	1	2	yes	complemented
470	#3179	C₂×C₁₃	1	2	yes	complemented
471	#3169	C₂×C₁₃	1	1	yes	characteristic, complemented
472	#3124	C₂×C₁₃	1	2	yes	complemented
473	#3122	C₂×C₁₃	1	2	yes	complemented
474	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
475	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#2966	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#2946	C₂×C₁₃	1	2	yes	complemented
478	C₄×#135	C₂×C₁₃	1	1	yes	characteristic, complemented
479	C₂³×C₁₃	—	2	1	no	—
480	C₂³×C₁₃	—	2	2	no	—
481	C₂³×C₁₃	—	2	1	no	—
482	C₂³×C₁₃	—	2	2	no	—
483	C₂³×C₁₃	—	4	4	no	—
484	C₂³×C₁₃	—	8	2	no	—
485	C₂³×C₁₃	—	8	2	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	1	no	—
490	Q₈×C₁₃	—	2	1	no	—
491	Q₈×C₁₃	—	2	1	no	—
492	Q₈×C₁₃	—	4	2	no	—
493	Q₈×C₁₃	—	4	2	no	—
494	Q₈×C₁₃	—	8	2	no	—
495	Q₈×C₁₃	C₂×#41	1	2	yes	—
496	D₄×C₁₃	—	2	2	no	—
497	D₄×C₁₃	—	2	2	no	—
498	D₄×C₁₃	—	2	2	no	—
499	D₄×C₁₃	—	2	1	no	—
500	D₄×C₁₃	—	2	1	no	—
501	D₄×C₁₃	—	2	2	no	—
502	D₄×C₁₃	—	2	1	no	—
503	D₄×C₁₃	—	2	2	no	—
504	D₄×C₁₃	—	4	2	no	—
505	D₄×C₁₃	—	4	4	no	—
506	D₄×C₁₃	—	4	2	no	—
507	D₄×C₁₃	—	4	4	no	—
508	D₄×C₁₃	—	4	2	no	—
509	D₄×C₁₃	—	4	2	no	—
510	D₄×C₁₃	—	4	2	no	—
511	D₄×C₁₃	—	8	1	no	—
512	D₄×C₁₃	—	8	1	no	—
513	D₄×C₁₃	—	8	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	C₂×#41	1	2	yes	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	2	no	—
525	C₂×C₄×C₁₃	—	2	2	no	—
526	C₂×C₄×C₁₃	—	2	1	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	1	no	—
532	C₂×C₄×C₁₃	—	2	2	no	—
533	C₂×C₄×C₁₃	—	2	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	1	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	2	no	—
545	C₂×C₄×C₁₃	—	8	2	no	—
546	C₂×C₄×C₁₃	—	8	2	no	—
547	C₂×C₄×C₁₃	—	8	2	no	—
548	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
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	2	yes	—
552	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
553	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
554	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
555	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
556	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
557	C₈×C₁₃	—	2	1	no	—
558	C₈×C₁₃	—	2	2	no	—
559	C₈×C₁₃	—	2	1	no	—
560	C₈×C₁₃	—	2	1	no	—
561	C₈×C₁₃	—	2	2	no	—
562	C₈×C₁₃	C₂×#41	1	2	yes	—
563	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
564	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
565	#559	C₂²×C₁₃	1	1	yes	characteristic
566	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
567	#556	C₂²×C₁₃	1	1	yes	characteristic
568	#555	C₂²×C₁₃	1	2	yes	—
569	#553	—	2	2	no	—
570	#553	C₂²×C₁₃	1	2	yes	complemented
571	#551	—	2	2	no	—
572	#550	—	2	1	no	—
573	#550	C₂²×C₁₃	1	1	yes	characteristic
574	#550	C₂²×C₁₃	1	2	yes	complemented
575	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
576	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
577	#548	—	2	1	no	—
578	#547	—	2	1	no	—
579	#547	C₂²×C₁₃	1	1	yes	characteristic
580	#546	—	2	1	no	—
581	#546	C₂²×C₁₃	1	2	yes	—
582	D₄²	C₂²×C₁₃	1	1	yes	characteristic
583	#542	C₂²×C₁₃	1	2	yes	—
584	#540	—	2	2	no	—
585	#540	C₂²×C₁₃	1	2	yes	complemented
586	#538	—	2	2	no	—
587	#532	—	2	1	no	—
588	#532	C₂²×C₁₃	1	1	yes	characteristic
589	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
590	#529	—	2	1	no	—
591	#529	—	2	1	no	—
592	#529	C₂²×C₁₃	1	1	yes	characteristic
593	C₂×#124	—	2	1	no	—
594	#520	C₂²×C₁₃	1	2	yes	complemented
595	#518	C₂²×C₁₃	1	2	yes	—
596	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
597	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
598	#501	C₂²×C₁₃	1	2	yes	complemented
599	#500	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#496	C₂²×C₁₃	1	2	yes	complemented
601	#493	C₂²×C₁₃	1	1	yes	characteristic
602	#488	C₂²×C₁₃	1	2	yes	complemented
603	#486	C₂²×C₁₃	1	1	yes	characteristic
604	#486	C₂²×C₁₃	1	1	yes	characteristic, complemented
605	#486	C₂²×C₁₃	1	2	yes	complemented
606	#484	C₂²×C₁₃	1	2	yes	complemented
607	#482	C₂²×C₁₃	1	2	yes	complemented
608	#482	C₂²×C₁₃	1	2	yes	complemented
609	#482	C₂²×C₁₃	1	2	yes	complemented
610	#482	C₂²×C₁₃	1	2	yes	complemented
611	#480	C₂²×C₁₃	1	2	yes	—
612	#478	C₂²×C₁₃	1	2	yes	—
613	#478	C₂²×C₁₃	1	2	yes	complemented
614	#477	C₂²×C₁₃	1	2	yes	complemented
615	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
617	#474	C₂²×C₁₃	1	1	yes	characteristic
618	#474	C₂²×C₁₃	1	2	yes	complemented
619	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
620	#469	C₂²×C₁₃	1	2	yes	—
621	#468	C₂²×C₁₃	1	2	yes	complemented
622	#466	C₂²×C₁₃	1	2	yes	—
623	#466	C₂²×C₁₃	1	2	yes	complemented
624	#466	C₂²×C₁₃	1	2	yes	complemented
625	#465	C₂²×C₁₃	1	2	yes	complemented
626	#464	C₂²×C₁₃	1	2	yes	complemented
627	#463	C₂²×C₁₃	1	2	yes	complemented
628	#460	C₂²×C₁₃	1	1	yes	characteristic
629	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#459	C₂²×C₁₃	1	1	yes	characteristic
631	#459	C₂²×C₁₃	1	2	yes	—
632	#459	C₂²×C₁₃	1	1	yes	characteristic
633	#459	C₂²×C₁₃	1	2	yes	complemented
634	#452	C₂²×C₁₃	1	2	yes	complemented
635	#449	C₂²×C₁₃	1	2	yes	—
636	#449	C₂²×C₁₃	1	2	yes	—
637	#449	C₂²×C₁₃	1	2	yes	complemented
638	#447	C₂²×C₁₃	1	2	yes	—
639	#447	C₂²×C₁₃	1	2	yes	—
640	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	C₈×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	#442	C₂²×C₁₃	1	2	yes	—
643	#442	C₂²×C₁₃	1	2	yes	complemented
644	#442	C₂²×C₁₃	1	2	yes	complemented
645	#440	C₂²×C₁₃	1	2	yes	—
646	#440	C₂²×C₁₃	1	2	yes	complemented
647	#440	C₂²×C₁₃	1	2	yes	complemented
648	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
649	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
650	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
651	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
652	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
654	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
655	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
656	C₄×D₈	C₂²×C₁₃	1	2	yes	—
657	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
658	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
659	C₄×D₈	C₂²×C₁₃	1	2	yes	complemented
660	#436	C₂²×C₁₃	1	1	yes	characteristic
661	#435	C₂²×C₁₃	1	2	yes	complemented
662	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
663	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
664	#433	C₂²×C₁₃	1	2	yes	complemented
665	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
666	#428	C₂²×C₁₃	1	2	yes	complemented
667	#427	C₂²×C₁₃	1	1	yes	characteristic, complemented
668	#416	C₂²×C₁₃	1	1	yes	characteristic
669	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
670	#416	C₂²×C₁₃	1	2	yes	complemented
671	C₂×#102	C₂²×C₁₃	1	2	yes	—
672	#405	C₂²×C₁₃	1	2	yes	complemented
673	C₂×C₄×C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
674	C₂²×C₁₃	—	2	1	no	—
675	C₂²×C₁₃	—	2	2	no	—
676	C₂²×C₁₃	—	2	1	no	—
677	C₂²×C₁₃	—	2	2	no	—
678	C₂²×C₁₃	—	2	2	no	—
679	C₂²×C₁₃	—	2	1	no	—
680	C₂²×C₁₃	—	2	2	no	—
681	C₂²×C₁₃	—	4	1	no	—
682	C₂²×C₁₃	—	4	1	no	—
683	C₂²×C₁₃	—	4	1	no	—
684	C₂²×C₁₃	—	4	2	no	—
685	C₂²×C₁₃	—	4	2	no	—
686	C₂²×C₁₃	—	4	2	no	—
687	C₂²×C₁₃	—	4	1	no	—
688	C₂²×C₁₃	—	4	2	no	—
689	C₂²×C₁₃	—	4	1	no	—
690	C₂²×C₁₃	—	4	2	no	—
691	C₂²×C₁₃	—	4	2	no	—
692	C₂²×C₁₃	—	16	4	no	—
693	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
694	C₄×C₁₃	—	2	1	no	—
695	C₄×C₁₃	—	2	1	no	—
696	C₄×C₁₃	—	2	2	no	—
697	C₄×C₁₃	—	2	1	no	—
698	C₄×C₁₃	—	2	2	no	—
699	C₄×C₁₃	—	2	2	no	—
700	C₄×C₁₃	—	2	1	no	—
701	C₄×C₁₃	—	2	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	1	no	—
707	C₄×C₁₃	—	4	2	no	—
708	C₄×C₁₃	—	4	2	no	—
709	C₄×C₁₃	#576	1	2	yes	—
710	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
711	C₄×C₁₃	#585	1	1	yes	characteristic
712	C₂×#41	—	2	1	no	—
713	C₂×#41	—	2	1	no	—
714	C₂×#41	—	2	1	no	—
715	C₂×#41	—	2	1	no	—
716	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
717	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
718	C₂×#41	C₂³×C₁₃	1	2	yes	—
719	C₂²×Q₈	—	2	1	no	—
720	C₂²×D₄	—	2	1	no	—
721	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
722	AGL(1,ℤ/8)	—	2	8	no	—
723	#135	—	2	4	no	—
724	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
725	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
726	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
727	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
728	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
729	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
730	C₂×D₈	C₂³×C₁₃	1	2	yes	—
731	C₂×D₈	C₂³×C₁₃	1	2	yes	—
732	C₂×D₈	C₂³×C₁₃	1	2	yes	—
733	C₂×D₈	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	C₄⋊Q₈	—	2	1	no	—
739	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
740	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
741	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
742	#127	—	2	1	no	—
743	#127	—	2	2	no	—
744	#127	C₂³×C₁₃	1	1	yes	characteristic
745	#127	C₂³×C₁₃	1	1	yes	characteristic
746	#127	C₂³×C₁₃	1	2	yes	—
747	#126	—	2	2	no	—
748	#126	—	2	2	no	—
749	#126	—	2	2	no	—
750	#126	D₄×C₁₃	1	2	yes	—
751	#125	—	2	2	no	—
752	#125	D₄×C₁₃	1	1	yes	characteristic
753	#125	C₂³×C₁₃	1	2	yes	—
754	#124	—	2	1	no	—
755	#124	—	2	1	no	—
756	#124	—	2	2	no	—
757	#124	—	2	2	no	—
758	#124	—	2	2	no	—
759	#124	—	2	1	no	—
760	#124	—	2	1	no	—
761	#124	D₄×C₁₃	1	1	yes	characteristic
762	#124	C₂³×C₁₃	1	2	yes	—
763	#123	—	2	2	no	—
764	#123	—	2	2	no	—
765	#123	—	2	2	no	—
766	#123	—	2	2	no	—
767	#123	—	2	2	no	—
768	#123	—	2	2	no	—
769	#123	—	2	2	no	—
770	#123	D₄×C₁₃	1	2	yes	—
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	D₄×C₁₃	1	1	yes	characteristic
776	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
777	#121	—	2	2	no	—
778	#121	—	2	2	no	—
779	#121	—	2	1	no	—
780	#121	—	2	1	no	—
781	#121	—	2	1	no	—
782	#121	—	2	1	no	—
783	#121	—	2	2	no	—
784	#121	—	2	2	no	—
785	#121	—	2	2	no	—
786	#121	—	2	2	no	—
787	#121	—	2	2	no	—
788	#121	—	2	2	no	—
789	#121	—	2	2	no	—
790	#121	D₄×C₁₃	1	1	yes	characteristic
791	#121	C₂³×C₁₃	1	2	yes	—
792	#121	C₂³×C₁₃	1	2	yes	—
793	#121	C₂³×C₁₃	1	2	yes	—
794	#121	C₂³×C₁₃	1	2	yes	—
795	#121	C₂³×C₁₃	1	2	yes	—
796	#120	—	2	2	no	—
797	#120	—	2	2	no	—
798	C₄×Q₈	—	2	1	no	—
799	C₄×Q₈	—	2	1	no	—
800	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
801	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
802	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
803	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
804	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
805	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	2	no	—
811	C₄×D₄	—	2	2	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	2	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	C₂³×C₁₃	1	1	yes	characteristic
821	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
822	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
823	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
824	C₄×D₄	C₂³×C₁₃	1	2	yes	—
825	C₄×D₄	C₂³×C₁₃	1	2	yes	—
826	C₄×D₄	C₂³×C₁₃	1	2	yes	—
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	2	yes	—
831	#117	—	2	2	no	—
832	#117	—	2	2	no	—
833	#117	—	2	1	no	—
834	#117	—	2	1	no	—
835	#117	C₂³×C₁₃	1	1	yes	characteristic
836	#117	C₂³×C₁₃	1	1	yes	characteristic
837	#117	C₂³×C₁₃	1	2	yes	—
838	#117	C₂³×C₁₃	1	2	yes	—
839	C₂×C₄⋊C₄	—	2	2	no	—
840	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
841	C₂×C₂²⋊C₄	—	2	2	no	—
842	C₂×C₂²⋊C₄	—	2	2	no	—
843	C₂×C₂²⋊C₄	—	2	2	no	—
844	C₂×C₄²	—	2	1	no	—
845	C₂×C₄²	—	2	1	no	—
846	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
847	#107	C₂³×C₁₃	1	1	yes	characteristic
848	#107	C₂³×C₁₃	1	1	yes	characteristic
849	#107	C₂³×C₁₃	1	2	yes	—
850	#107	C₂³×C₁₃	1	2	yes	—
851	#107	C₂³×C₁₃	1	2	yes	—
852	#107	C₂³×C₁₃	1	2	yes	—
853	#106	C₂³×C₁₃	1	1	yes	characteristic
854	#106	C₂³×C₁₃	1	1	yes	characteristic
855	#106	C₂³×C₁₃	1	2	yes	—
856	#106	C₂³×C₁₃	1	2	yes	—
857	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
858	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
859	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
860	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
861	#103	C₂³×C₁₃	1	1	yes	characteristic
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	2	yes	—
866	#103	C₂³×C₁₃	1	2	yes	—
867	#102	C₂³×C₁₃	1	1	yes	characteristic
868	#102	C₂³×C₁₃	1	2	yes	—
869	#102	C₂³×C₁₃	1	2	yes	—
870	#102	C₂³×C₁₃	1	2	yes	—
871	#102	C₂³×C₁₃	1	1	yes	characteristic
872	#102	C₂³×C₁₃	1	2	yes	—
873	#102	C₂³×C₁₃	1	1	yes	characteristic
874	#102	C₂³×C₁₃	1	1	yes	characteristic
875	#102	C₂³×C₁₃	1	2	yes	—
876	#102	C₂³×C₁₃	1	2	yes	—
877	#102	C₂³×C₁₃	1	2	yes	—
878	#102	C₂³×C₁₃	1	2	yes	—
879	#102	C₂³×C₁₃	1	2	yes	—
880	#102	C₂³×C₁₃	1	2	yes	—
881	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
882	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
883	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
884	#97	C₂³×C₁₃	1	2	yes	—
885	#97	C₂³×C₁₃	1	2	yes	—
886	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
887	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
888	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
889	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
890	C₄×C₈	C₂³×C₁₃	1	2	yes	—
891	C₂×C₁₃	—	4	1	no	—
892	C₂×C₁₃	—	4	2	no	—
893	C₂×C₁₃	—	4	2	no	—
894	C₂×C₁₃	—	8	1	no	—
895	C₂×C₁₃	—	8	2	no	—
896	C₂×C₁₃	—	8	2	no	—
897	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
898	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
899	C₂×C₁₃	#3584	1	1	yes	characteristic
900	C₂⁴	—	2	2	no	—
901	#41	—	2	2	no	—
902	#41	—	2	4	no	—
903	#41	—	2	2	no	—
904	#41	—	4	2	no	—
905	#41	—	4	1	no	—
906	#41	—	4	1	no	—
907	#41	—	8	2	no	—
908	#41	—	8	2	no	—
909	#41	—	8	2	no	—
910	#41	—	8	2	no	—
911	C₂×Q₈	—	2	1	no	—
912	C₂×Q₈	—	2	1	no	—
913	C₂×Q₈	—	2	2	no	—
914	C₂×Q₈	—	8	2	no	—
915	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
916	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
917	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
918	C₂×D₄	—	2	4	no	—
919	C₂×D₄	—	2	1	no	—
920	C₂×D₄	—	2	2	no	—
921	C₂×D₄	—	2	1	no	—
922	C₂×D₄	—	2	2	no	—
923	C₂×D₄	—	2	2	no	—
924	C₂×D₄	—	2	2	no	—
925	C₂×D₄	—	2	2	no	—
926	C₂×D₄	—	2	2	no	—
927	C₂×D₄	—	2	2	no	—
928	C₂×D₄	—	2	1	no	—
929	C₂×D₄	—	2	1	no	—
930	C₂×D₄	—	2	1	no	—
931	C₂×D₄	—	2	1	no	—
932	C₂×D₄	—	2	2	no	—
933	C₂×D₄	—	2	2	no	—
934	C₂×D₄	—	4	2	no	—
935	C₂×D₄	—	8	2	no	—
936	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
937	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
938	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
939	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
940	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
941	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
942	C₂²×C₄	—	2	2	no	—
943	C₂²×C₄	—	2	1	no	—
944	C₂²×C₄	—	2	1	no	—
945	C₂²×C₄	—	2	1	no	—
946	C₂²×C₄	—	2	1	no	—
947	C₂²×C₄	—	2	2	no	—
948	C₂²×C₄	—	2	1	no	—
949	C₂²×C₄	—	2	1	no	—
950	C₂²×C₄	—	2	2	no	—
951	C₂²×C₄	—	2	2	no	—
952	C₂²×C₄	—	2	2	no	—
953	C₂²×C₄	—	2	2	no	—
954	C₂²×C₄	—	2	2	no	—
955	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
956	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
957	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
959	Q₁₆	—	2	2	no	—
960	SD₁₆	—	2	4	no	—
961	SD₁₆	—	2	2	no	—
962	SD₁₆	—	4	2	no	—
963	SD₁₆	C₁₃×#41	1	4	yes	complemented
964	D₈	—	2	2	no	—
965	D₈	—	2	4	no	—
966	D₈	—	2	4	no	—
967	D₈	—	4	2	no	—
968	D₈	—	4	2	no	—
969	M₁₆	—	2	4	no	—
970	C₂×C₈	—	2	2	no	—
971	C₂×C₈	—	4	1	no	—
972	C₂×C₈	—	4	2	no	—
973	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
974	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
975	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
976	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
977	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
978	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	2	no	—
981	C₄⋊C₄	—	2	2	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	2	1	no	—
985	C₄⋊C₄	—	2	2	no	—
986	C₄⋊C₄	—	2	1	no	—
987	C₄⋊C₄	—	2	1	no	—
988	C₄⋊C₄	—	2	2	no	—
989	C₄⋊C₄	—	2	2	no	—
990	C₄⋊C₄	—	2	2	no	—
991	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
992	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
993	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
994	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
995	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
996	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
997	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1000	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1001	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1002	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1003	C₂²⋊C₄	—	2	2	no	—
1004	C₂²⋊C₄	—	2	2	no	—
1005	C₂²⋊C₄	—	2	1	no	—
1006	C₂²⋊C₄	—	2	1	no	—
1007	C₂²⋊C₄	—	2	1	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	1	no	—
1014	C₂²⋊C₄	—	2	2	no	—
1015	C₂²⋊C₄	—	2	1	no	—
1016	C₂²⋊C₄	—	2	1	no	—
1017	C₂²⋊C₄	—	2	2	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	C₂×D₄×C₁₃	1	2	yes	—
1024	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
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	1	no	—
1032	C₄²	—	2	1	no	—
1033	C₄²	—	2	1	no	—
1034	C₄²	—	2	2	no	—
1035	C₄²	—	2	2	no	—
1036	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1037	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1038	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1039	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1040	C₄²	C₂⁴×C₁₃	1	2	yes	—
1041	C₁₃	#61494	1	1	yes	characteristic, direct product factor, Sylow
1042	C₂³	—	2	1	no	—
1043	C₂³	—	2	2	no	—
1044	C₂³	—	2	1	no	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	4	4	no	—
1047	C₂³	—	8	2	no	—
1048	C₂³	—	8	2	no	—
1049	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1050	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1051	Q₈	—	2	2	no	—
1052	Q₈	—	2	1	no	—
1053	Q₈	—	2	1	no	—
1054	Q₈	—	2	1	no	—
1055	Q₈	—	4	2	no	—
1056	Q₈	—	4	2	no	—
1057	Q₈	—	8	2	no	—
1058	Q₈	C₂×C₁₃×#41	1	2	yes	—
1059	D₄	—	2	2	no	—
1060	D₄	—	2	2	no	—
1061	D₄	—	2	2	no	—
1062	D₄	—	2	1	no	—
1063	D₄	—	2	1	no	—
1064	D₄	—	2	2	no	—
1065	D₄	—	2	1	no	—
1066	D₄	—	2	2	no	—
1067	D₄	—	4	2	no	—
1068	D₄	—	4	4	no	—
1069	D₄	—	4	2	no	—
1070	D₄	—	4	4	no	—
1071	D₄	—	4	2	no	—
1072	D₄	—	4	2	no	—
1073	D₄	—	4	2	no	—
1074	D₄	—	8	1	no	—
1075	D₄	—	8	1	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	D₄	—	8	2	no	—
1082	D₄	—	8	2	no	—
1083	D₄	C₂×C₁₃×#41	1	2	yes	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	4	1	no	—
1098	C₂×C₄	—	4	2	no	—
1099	C₂×C₄	—	4	4	no	—
1100	C₂×C₄	—	4	2	no	—
1101	C₂×C₄	—	4	2	no	—
1102	C₂×C₄	—	4	2	no	—
1103	C₂×C₄	—	8	1	no	—
1104	C₂×C₄	—	8	1	no	—
1105	C₂×C₄	—	8	2	no	—
1106	C₂×C₄	—	8	2	no	—
1107	C₂×C₄	—	8	2	no	—
1108	C₂×C₄	—	8	2	no	—
1109	C₂×C₄	—	8	2	no	—
1110	C₂×C₄	—	8	2	no	—
1111	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1112	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1113	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1114	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1115	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1116	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1117	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1118	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1119	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1120	C₈	—	2	1	no	—
1121	C₈	—	2	2	no	—
1122	C₈	—	2	1	no	—
1123	C₈	—	2	1	no	—
1124	C₈	—	2	2	no	—
1125	C₈	C₂×C₁₃×#41	1	2	yes	—
1126	C₂²	—	2	1	no	—
1127	C₂²	—	2	2	no	—
1128	C₂²	—	2	1	no	—
1129	C₂²	—	2	2	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	2	no	—
1133	C₂²	—	4	1	no	—
1134	C₂²	—	4	1	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	2	no	—
1137	C₂²	—	4	2	no	—
1138	C₂²	—	4	1	no	—
1139	C₂²	—	4	2	no	—
1140	C₂²	—	4	2	no	—
1141	C₂²	—	4	2	no	—
1142	C₂²	—	4	1	no	—
1143	C₂²	—	4	2	no	—
1144	C₂²	—	16	4	no	—
1145	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1146	C₄	—	2	1	no	—
1147	C₄	—	2	2	no	—
1148	C₄	—	2	1	no	—
1149	C₄	—	2	1	no	—
1150	C₄	—	2	2	no	—
1151	C₄	—	2	1	no	—
1152	C₄	—	2	2	no	—
1153	C₄	—	2	2	no	—
1154	C₄	—	4	1	no	—
1155	C₄	—	4	1	no	—
1156	C₄	—	4	2	no	—
1157	C₄	—	4	2	no	—
1158	C₄	—	4	1	no	—
1159	C₄	—	4	1	no	—
1160	C₄	—	4	1	no	—
1161	C₄	C₁₃×#576	1	2	yes	—
1162	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1163	C₄	C₁₃×#585	1	1	yes	characteristic
1164	C₂	—	4	2	no	—
1165	C₂	—	4	1	no	—
1166	C₂	—	4	2	no	—
1167	C₂	—	8	2	no	—
1168	C₂	—	8	1	no	—
1169	C₂	—	8	2	no	—
1170	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1171	C₂	C₂×C₁₃×#576	1	1	yes	characteristic
1172	C₂	C₁₃×#3584	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 ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3517	C₂	semidirect
2. C₁₃×#3514	C₂	semidirect
3. C₁₃×#3399	C₂	semidirect
4. C₁₃×#3386	C₂	semidirect
5. C₁₃×#3365	C₂	semidirect
6. C₁₃×#3358	C₂	semidirect
7. C₁₃×#3353	C₂	semidirect
8. C₁₃×#3347	C₂	semidirect
9. C₁₃×#3305	C₂	semidirect
10. C₁₃×#3304	C₂	semidirect
11. C₁₃×#3297	C₂	semidirect
12. C₁₃×#3294	C₂	semidirect
13. C₁₃×#3274	C₂	semidirect
14. C₁₃×#3268	C₂	semidirect
15. C₁₃×#3179	C₂	semidirect
16. C₁₃×#3169	C₂	semidirect
17. C₁₃×#3124	C₂	semidirect
18. C₁₃×#3122	C₂	semidirect
19. C₁₃×#3115	C₂	semidirect
20. C₁₃×#3115	C₂	semidirect
21. C₁₃×#2966	C₂	semidirect
22. C₁₃×#2946	C₂	semidirect
23. C₄×C₁₃×#135	C₂	semidirect
27. C₁₃×#557	C₂²	semidirect
31. C₁₃×#553	C₂²	semidirect
35. C₁₃×#550	C₂²	semidirect
36. C₁₃×#550	C₂²	semidirect
46. C₁₃×#540	C₂²	semidirect
50. C₁₃×#532	C₂²	semidirect
55. C₁₃×#520	C₂²	semidirect
58. C₄×C₁₃×#41	C₂²	semidirect
59. C₁₃×#501	C₂²	semidirect
60. C₁₃×#500	C₂²	semidirect
61. C₁₃×#496	C₂²	semidirect
63. C₁₃×#488	C₂²	semidirect
65. C₁₃×#486	C₂²	semidirect
66. C₁₃×#486	C₂²	semidirect
67. C₁₃×#484	C₂²	semidirect
68. C₁₃×#482	C₂²	semidirect
69. C₁₃×#482	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
71. C₁₃×#482	C₂²	semidirect
74. C₁₃×#478	C₂²	semidirect
75. C₁₃×#477	C₂²	semidirect
76. C₁₃×#475	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
79. C₁₃×#474	C₂²	semidirect
80. C₁₃×#474	C₂²	semidirect
82. C₁₃×#468	C₂²	semidirect
84. C₁₃×#466	C₂²	semidirect
85. C₁₃×#466	C₂²	semidirect
86. C₁₃×#465	C₂²	semidirect
87. C₁₃×#464	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
90. C₁₃×#460	C₂²	semidirect
94. C₁₃×#459	C₂²	semidirect
95. C₁₃×#452	C₂²	semidirect
98. C₁₃×#449	C₂²	semidirect
101. C₁₃×#446	C₂²	semidirect
102. C₈×Q₈×C₁₃	C₂²	semidirect
104. C₁₃×#442	C₂²	semidirect
105. C₁₃×#442	C₂²	semidirect
107. C₁₃×#440	C₂²	semidirect
108. C₁₃×#440	C₂²	semidirect
109. C₄×C₁₃×Q₁₆	C₂²	semidirect
110. C₄×C₁₃×Q₁₆	C₂²	semidirect
113. C₄×C₁₃×SD₁₆	C₂²	semidirect
114. C₄×C₁₃×SD₁₆	C₂²	semidirect
115. C₄×C₁₃×SD₁₆	C₂²	semidirect
119. C₄×C₁₃×D₈	C₂²	semidirect
120. C₄×C₁₃×D₈	C₂²	semidirect
122. C₁₃×#435	C₂²	semidirect
124. C₈×D₄×C₁₃	C₂²	semidirect
125. C₁₃×#433	C₂²	semidirect
126. C₁₃×#432	C₂²	semidirect
127. C₁₃×#428	C₂²	semidirect
128. C₁₃×#427	C₂²	semidirect
130. C₁₃×#416	C₂²	semidirect
131. C₁₃×#416	C₂²	semidirect
133. C₁₃×#405	C₂²	semidirect
134. C₂×C₄×C₈×C₁₃	C₂²	semidirect
314. #61494	C₁₃	direct (N × H)
378. C₁₃×SD₁₆	#41	semidirect
456. #3517	C₂×C₁₃	semidirect
457. #3514	C₂×C₁₃	semidirect
458. #3399	C₂×C₁₃	semidirect
459. #3386	C₂×C₁₃	semidirect
460. #3365	C₂×C₁₃	semidirect
461. #3358	C₂×C₁₃	semidirect
462. #3353	C₂×C₁₃	semidirect
463. #3347	C₂×C₁₃	semidirect
464. #3305	C₂×C₁₃	semidirect
465. #3304	C₂×C₁₃	semidirect
466. #3297	C₂×C₁₃	semidirect
467. #3294	C₂×C₁₃	semidirect
468. #3274	C₂×C₁₃	semidirect
469. #3268	C₂×C₁₃	semidirect
470. #3179	C₂×C₁₃	semidirect
471. #3169	C₂×C₁₃	semidirect
472. #3124	C₂×C₁₃	semidirect
473. #3122	C₂×C₁₃	semidirect
474. #3115	C₂×C₁₃	semidirect
475. #3115	C₂×C₁₃	semidirect
476. #2966	C₂×C₁₃	semidirect
477. #2946	C₂×C₁₃	semidirect
478. C₄×#135	C₂×C₁₃	semidirect
566. #557	C₂²×C₁₃	semidirect
570. #553	C₂²×C₁₃	semidirect
574. #550	C₂²×C₁₃	semidirect
575. #550	C₂²×C₁₃	semidirect
585. #540	C₂²×C₁₃	semidirect
589. #532	C₂²×C₁₃	semidirect
594. #520	C₂²×C₁₃	semidirect
597. C₄×#41	C₂²×C₁₃	semidirect
598. #501	C₂²×C₁₃	semidirect
599. #500	C₂²×C₁₃	semidirect
600. #496	C₂²×C₁₃	semidirect
602. #488	C₂²×C₁₃	semidirect
604. #486	C₂²×C₁₃	semidirect
605. #486	C₂²×C₁₃	semidirect
606. #484	C₂²×C₁₃	semidirect
607. #482	C₂²×C₁₃	semidirect
608. #482	C₂²×C₁₃	semidirect
609. #482	C₂²×C₁₃	semidirect
610. #482	C₂²×C₁₃	semidirect
613. #478	C₂²×C₁₃	semidirect
614. #477	C₂²×C₁₃	semidirect
615. #475	C₂²×C₁₃	semidirect
616. #475	C₂²×C₁₃	semidirect
618. #474	C₂²×C₁₃	semidirect
619. #474	C₂²×C₁₃	semidirect
621. #468	C₂²×C₁₃	semidirect
623. #466	C₂²×C₁₃	semidirect
624. #466	C₂²×C₁₃	semidirect
625. #465	C₂²×C₁₃	semidirect
626. #464	C₂²×C₁₃	semidirect
627. #463	C₂²×C₁₃	semidirect
629. #460	C₂²×C₁₃	semidirect
633. #459	C₂²×C₁₃	semidirect
634. #452	C₂²×C₁₃	semidirect
637. #449	C₂²×C₁₃	semidirect
640. #446	C₂²×C₁₃	semidirect
641. C₈×Q₈	C₂²×C₁₃	semidirect
643. #442	C₂²×C₁₃	semidirect
644. #442	C₂²×C₁₃	semidirect
646. #440	C₂²×C₁₃	semidirect
647. #440	C₂²×C₁₃	semidirect
648. C₄×Q₁₆	C₂²×C₁₃	semidirect
649. C₄×Q₁₆	C₂²×C₁₃	semidirect
652. C₄×SD₁₆	C₂²×C₁₃	semidirect
653. C₄×SD₁₆	C₂²×C₁₃	semidirect
654. C₄×SD₁₆	C₂²×C₁₃	semidirect
658. C₄×D₈	C₂²×C₁₃	semidirect
659. C₄×D₈	C₂²×C₁₃	semidirect
661. #435	C₂²×C₁₃	semidirect
663. C₈×D₄	C₂²×C₁₃	semidirect
664. #433	C₂²×C₁₃	semidirect
665. #432	C₂²×C₁₃	semidirect
666. #428	C₂²×C₁₃	semidirect
667. #427	C₂²×C₁₃	semidirect
669. #416	C₂²×C₁₃	semidirect
670. #416	C₂²×C₁₃	semidirect
672. #405	C₂²×C₁₃	semidirect
673. C₂×C₄×C₈	C₂²×C₁₃	semidirect
963. SD₁₆	C₁₃×#41	semidirect
1041. C₁₃	#61494	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×#3517	2
C₁₃×#3514	2
C₁₃×#3399	2
C₁₃×#3386	2
C₁₃×#3365	2
C₁₃×#3358	2
C₁₃×#3353	2
C₁₃×#3347	2
C₁₃×#3305	2
C₁₃×#3304	2
C₁₃×#3297	2
C₁₃×#3294	2
C₁₃×#3274	2
C₁₃×#3268	2
C₁₃×#3179	2
C₁₃×#3169	2
C₁₃×#3124	2
C₁₃×#3122	2
C₁₃×#3115	2
C₁₃×#2966	2
C₁₃×#2946	2
C₄×C₁₃×#135	2
#61494	13

Subgroups — C13×#61494 #15747833

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61494 #15747833