Subgroups — C₁₃×#61692 #15748031

Order 3328.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1222 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3546	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3330	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3328	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3320	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3307	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3284	C₂	1	1	yes	maximal, characteristic, complemented
10	D₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3272	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3267	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3266	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3206	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3201	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3200	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3115	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3102	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3013	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3010	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
25	C₂×C₁₃×#137	C₂²	1	2	yes	complemented
26	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	2	yes	—
27	C₂×C₁₃×#135	C₂²	1	2	yes	complemented
28	C₂²×C₁₃×SD₁₆	C₂²	1	2	yes	—
29	C₁₃×#560	—	2	2	no	—
30	C₁₃×#556	C₂²	1	1	yes	characteristic
31	C₁₃×#553	C₂²	1	2	yes	—
32	C₁₃×#550	—	2	1	no	—
33	C₁₃×#550	C₂²	1	1	yes	characteristic
34	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
35	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
36	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#547	—	2	1	no	—
38	C₁₃×#547	—	2	1	no	—
39	C₁₃×#547	—	2	2	no	—
40	C₁₃×#547	C₂²	1	1	yes	characteristic
41	C₁₃×#547	C₂²	1	1	yes	characteristic
42	C₁₃×#547	C₂²	1	2	yes	complemented
43	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#546	—	2	1	no	—
45	C₁₃×#546	C₂²	1	2	yes	—
46	D₄²×C₁₃	C₂²	1	1	yes	characteristic
47	C₁₃×#542	—	2	1	no	—
48	C₁₃×#538	—	2	2	no	—
49	C₁₃×#537	C₂²	1	2	yes	—
50	C₁₃×#536	—	2	2	no	—
51	C₁₃×#536	C₂²	1	2	yes	complemented
52	C₁₃×#535	—	2	1	no	—
53	C₁₃×#535	C₂²	1	2	yes	—
54	C₁₃×#532	—	2	1	no	—
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₁₃×#532	C₂²	1	1	yes	characteristic
57	C₂×C₁₃×C₄⋊Q₈	—	2	1	no	—
58	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#529	C₂²	1	1	yes	characteristic
60	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#497	C₂²	1	2	yes	—
62	C₁₃×#492	C₂²	1	1	yes	characteristic
63	C₁₃×#492	C₂²	1	1	yes	characteristic
64	C₁₃×#491	C₂²	1	2	yes	complemented
65	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#485	C₂²	1	2	yes	complemented
68	C₁₃×#485	C₂²	1	2	yes	complemented
69	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#484	C₂²	1	2	yes	complemented
71	C₁₃×#483	C₂²	1	2	yes	complemented
72	C₁₃×#482	C₂²	1	1	yes	characteristic
73	C₁₃×#482	C₂²	1	2	yes	complemented
74	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#470	C₂²	1	2	yes	complemented
79	C₁₃×#468	C₂²	1	2	yes	—
80	C₁₃×#468	C₂²	1	2	yes	—
81	C₁₃×#468	C₂²	1	2	yes	complemented
82	C₁₃×#467	C₂²	1	2	yes	complemented
83	C₁₃×#465	C₂²	1	2	yes	—
84	C₁₃×#465	C₂²	1	2	yes	—
85	C₁₃×#465	C₂²	1	2	yes	complemented
86	C₁₃×#464	C₂²	1	1	yes	characteristic
87	C₁₃×#463	C₂²	1	1	yes	characteristic
88	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#461	C₂²	1	1	yes	characteristic
91	C₁₃×#461	C₂²	1	1	yes	characteristic
92	C₁₃×#461	C₂²	1	2	yes	complemented
93	C₁₃×#461	C₂²	1	2	yes	complemented
94	C₁₃×#460	C₂²	1	1	yes	characteristic
95	C₁₃×#459	C₂²	1	1	yes	characteristic
96	C₁₃×#452	C₂²	1	2	yes	complemented
97	C₁₃×#452	C₂²	1	2	yes	complemented
98	C₁₃×#452	C₂²	1	2	yes	complemented
99	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#451	C₂²	1	2	yes	complemented
101	C₁₃×#451	C₂²	1	2	yes	complemented
102	C₁₃×#450	C₂²	1	2	yes	—
103	C₁₃×#450	C₂²	1	2	yes	—
104	C₁₃×#449	C₂²	1	1	yes	characteristic
105	C₁₃×#449	C₂²	1	2	yes	—
106	C₁₃×#449	C₂²	1	2	yes	—
107	C₁₃×#449	C₂²	1	2	yes	complemented
108	C₁₃×#449	C₂²	1	2	yes	complemented
109	C₁₃×#448	C₂²	1	2	yes	—
110	C₁₃×#448	C₂²	1	2	yes	—
111	C₁₃×#448	C₂²	1	2	yes	—
112	C₁₃×#448	C₂²	1	2	yes	complemented
113	C₁₃×#448	C₂²	1	2	yes	complemented
114	C₁₃×#448	C₂²	1	2	yes	complemented
115	C₁₃×#442	C₂²	1	2	yes	complemented
116	C₁₃×#440	C₂²	1	2	yes	complemented
117	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
119	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
120	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
121	C₁₃×#436	C₂²	1	1	yes	characteristic
122	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#435	C₂²	1	2	yes	complemented
124	C₁₃×#435	C₂²	1	2	yes	complemented
125	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
126	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#419	C₂²	1	2	yes	complemented
130	C₁₃×#417	C₂²	1	2	yes	complemented
131	C₁₃×#416	C₂²	1	2	yes	complemented
132	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
133	C₁₃×#408	C₂²	1	2	yes	complemented
134	C₁₃×#408	C₂²	1	2	yes	complemented
135	C₁₃×2₋¹⁺⁴	—	4	4	no	—
136	C₁₃×2₋¹⁺⁴	—	4	4	no	—
137	C₂×C₁₃×#41	—	2	2	no	—
138	C₂×C₁₃×#41	—	2	2	no	—
139	C₂×C₁₃×#41	—	2	2	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	2	1	no	—
142	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂×C₁₃×#41	C₂³	1	2	yes	—
145	C₂×C₁₃×#41	C₂³	1	2	yes	—
146	C₂×C₁₃×#41	C₂³	1	2	yes	—
147	C₂²×Q₈×C₁₃	—	2	2	no	—
148	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
149	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
150	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
151	C₂²×D₄×C₁₃	—	2	1	no	—
152	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
153	C₁₃×#137	—	4	4	no	—
154	C₁₃×AGL(1,ℤ/8)	—	4	4	no	—
155	C₁₃×#135	—	4	4	no	—
156	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
157	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
158	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
159	C₂×C₁₃×SD₁₆	—	4	4	no	—
160	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
162	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
163	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
164	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
165	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
166	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
167	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
168	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
169	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
170	C₂×C₁₃×D₈	C₂³	1	2	yes	—
171	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
172	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
173	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
174	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
175	C₁₃×C₄⋊Q₈	—	2	2	no	—
176	C₁₃×C₄⋊Q₈	—	2	1	no	—
177	C₁₃×C₄⋊Q₈	—	2	1	no	—
178	C₁₃×C₄⋊Q₈	—	2	2	no	—
179	C₁₃×C₄⋊Q₈	—	2	1	no	—
180	C₁₃×C₄⋊Q₈	—	2	1	no	—
181	C₁₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
182	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
183	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
184	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
185	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
186	C₁₃×#127	—	2	1	no	—
187	C₁₃×#127	—	2	2	no	—
188	C₁₃×#127	D₄	1	1	yes	characteristic
189	C₁₃×#127	C₂³	1	1	yes	characteristic
190	C₁₃×#126	—	2	2	no	—
191	C₁₃×#126	—	2	2	no	—
192	C₁₃×#126	—	2	1	no	—
193	C₁₃×#125	C₂³	1	1	yes	characteristic
194	C₁₃×#124	—	2	2	no	—
195	C₁₃×#124	—	2	2	no	—
196	C₁₃×#124	—	2	1	no	—
197	C₁₃×#124	—	2	1	no	—
198	C₁₃×#124	D₄	1	2	yes	—
199	C₁₃×#124	C₂³	1	1	yes	characteristic
200	C₁₃×#123	—	2	2	no	—
201	C₁₃×#123	—	2	2	no	—
202	C₁₃×#123	—	2	1	no	—
203	C₁₃×#123	—	2	2	no	—
204	C₁₃×#123	—	2	2	no	—
205	C₁₃×#123	—	2	2	no	—
206	C₁₃×#123	—	2	2	no	—
207	C₁₃×#123	—	2	2	no	—
208	C₁₃×#123	—	2	2	no	—
209	C₁₃×#123	—	2	2	no	—
210	C₁₃×C₂²⋊Q₈	—	2	2	no	—
211	C₁₃×C₂²⋊Q₈	—	2	1	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	—	2	2	no	—
216	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
217	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₁₃×#121	—	2	1	no	—
223	C₁₃×#121	—	2	1	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	—	2	2	no	—
226	C₁₃×#121	—	2	2	no	—
227	C₁₃×#121	—	2	2	no	—
228	C₁₃×#121	—	2	2	no	—
229	C₁₃×#121	—	2	1	no	—
230	C₁₃×#121	—	2	1	no	—
231	C₁₃×#121	—	2	2	no	—
232	C₁₃×#121	—	2	2	no	—
233	C₁₃×#121	D₄	1	1	yes	characteristic
234	C₁₃×#121	D₄	1	1	yes	characteristic
235	C₁₃×#121	D₄	1	2	yes	—
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	2	yes	—
238	C₁₃×#121	C₂³	1	2	yes	—
239	C₁₃×#121	C₂³	1	2	yes	—
240	C₁₃×#121	C₂³	1	2	yes	—
241	C₁₃×#120	—	2	2	no	—
242	C₁₃×#120	—	2	2	no	—
243	C₁₃×#120	—	2	2	no	—
244	C₁₃×#120	—	2	2	no	—
245	C₄×Q₈×C₁₃	—	2	1	no	—
246	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	2	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	1	no	—
255	C₄×D₄×C₁₃	—	2	1	no	—
256	C₄×D₄×C₁₃	—	2	2	no	—
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
260	C₄×D₄×C₁₃	C₂³	1	2	yes	—
261	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
262	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
263	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
264	C₄×D₄×C₁₃	C₂³	1	2	yes	—
265	C₁₃×#117	—	2	1	no	—
266	C₁₃×#117	—	2	1	no	—
267	C₁₃×#117	C₂³	1	2	yes	—
268	C₁₃×#117	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
270	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
271	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
272	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
273	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
274	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
275	C₂×C₁₃×C₂²⋊C₄	—	2	2	no	—
276	C₂×C₄²×C₁₃	—	2	1	no	—
277	C₂×C₄²×C₁₃	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×#106	C₂³	1	1	yes	characteristic
282	C₁₃×#106	C₂³	1	1	yes	characteristic
283	C₁₃×#106	C₂³	1	2	yes	—
284	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
285	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
286	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
287	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
288	C₁₃×#103	C₂³	1	1	yes	characteristic
289	C₁₃×#103	C₂³	1	2	yes	—
290	C₁₃×#103	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#103	C₂³	1	2	yes	—
296	C₁₃×#103	C₂³	1	1	yes	characteristic
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	2	yes	—
299	C₁₃×#103	C₂³	1	1	yes	characteristic
300	C₁₃×#103	C₂³	1	1	yes	characteristic
301	C₁₃×#102	C₂³	1	1	yes	characteristic
302	C₁₃×#102	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	1	yes	characteristic
304	C₁₃×#102	C₂³	1	1	yes	characteristic
305	C₁₃×#102	C₂³	1	1	yes	characteristic
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	2	yes	—
308	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
310	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
311	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
312	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
313	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
314	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
315	C₁₃×#97	C₂³	1	2	yes	—
316	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
317	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
318	#61692	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
319	C₂⁴×C₁₃	—	2	2	no	—
320	C₁₃×#41	—	2	2	no	—
321	C₁₃×#41	—	2	2	no	—
322	C₁₃×#41	—	2	4	no	—
323	C₁₃×#41	—	2	4	no	—
324	C₁₃×#41	—	4	2	no	—
325	C₁₃×#41	—	4	2	no	—
326	C₁₃×#41	—	4	2	no	—
327	C₁₃×#41	—	4	2	no	—
328	C₁₃×#41	—	4	8	no	—
329	C₁₃×#41	—	4	2	no	—
330	C₁₃×#41	—	4	2	no	—
331	C₁₃×#41	—	4	8	no	—
332	C₁₃×#41	—	4	8	no	—
333	C₁₃×#41	—	8	2	no	—
334	C₁₃×#41	—	8	2	no	—
335	C₂×Q₈×C₁₃	—	2	1	no	—
336	C₂×Q₈×C₁₃	—	2	2	no	—
337	C₂×Q₈×C₁₃	—	2	2	no	—
338	C₂×Q₈×C₁₃	—	2	2	no	—
339	C₂×Q₈×C₁₃	—	2	4	no	—
340	C₂×Q₈×C₁₃	—	2	4	no	—
341	C₂×Q₈×C₁₃	—	4	2	no	—
342	C₂×Q₈×C₁₃	—	4	2	no	—
343	C₂×Q₈×C₁₃	—	4	2	no	—
344	C₂×Q₈×C₁₃	—	4	2	no	—
345	C₂×Q₈×C₁₃	—	4	8	no	—
346	C₂×Q₈×C₁₃	C₂×D₄	1	2	yes	—
347	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
348	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
349	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×D₄×C₁₃	—	2	1	no	—
352	C₂×D₄×C₁₃	—	2	2	no	—
353	C₂×D₄×C₁₃	—	2	2	no	—
354	C₂×D₄×C₁₃	—	2	1	no	—
355	C₂×D₄×C₁₃	—	2	2	no	—
356	C₂×D₄×C₁₃	—	2	2	no	—
357	C₂×D₄×C₁₃	—	2	2	no	—
358	C₂×D₄×C₁₃	—	2	2	no	—
359	C₂×D₄×C₁₃	—	2	2	no	—
360	C₂×D₄×C₁₃	—	2	1	no	—
361	C₂×D₄×C₁₃	—	2	1	no	—
362	C₂×D₄×C₁₃	—	2	2	no	—
363	C₂×D₄×C₁₃	—	4	2	no	—
364	C₂×D₄×C₁₃	—	4	2	no	—
365	C₂×D₄×C₁₃	—	8	2	no	—
366	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
367	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
368	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
369	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
370	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
371	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
372	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
374	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	—	2	1	no	—
376	C₂²×C₄×C₁₃	—	2	2	no	—
377	C₂²×C₄×C₁₃	—	2	2	no	—
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	2	2	no	—
380	C₂²×C₄×C₁₃	—	2	1	no	—
381	C₂²×C₄×C₁₃	—	2	1	no	—
382	C₂²×C₄×C₁₃	—	2	2	no	—
383	C₂²×C₄×C₁₃	—	2	2	no	—
384	C₂²×C₄×C₁₃	—	2	1	no	—
385	C₂²×C₄×C₁₃	—	2	2	no	—
386	C₂²×C₄×C₁₃	—	2	2	no	—
387	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
392	C₁₃×Q₁₆	—	2	2	no	—
393	C₁₃×Q₁₆	—	4	2	no	—
394	C₁₃×Q₁₆	—	4	2	no	—
395	C₁₃×SD₁₆	—	2	2	no	—
396	C₁₃×SD₁₆	—	2	4	no	—
397	C₁₃×SD₁₆	—	2	2	no	—
398	C₁₃×SD₁₆	—	4	2	no	—
399	C₁₃×SD₁₆	—	4	2	no	—
400	C₁₃×SD₁₆	—	4	2	no	—
401	C₁₃×SD₁₆	—	4	2	no	—
402	C₁₃×SD₁₆	—	4	2	no	—
403	C₁₃×SD₁₆	—	4	2	no	—
404	C₁₃×D₈	—	2	4	no	—
405	C₁₃×D₈	—	2	2	no	—
406	C₁₃×M₁₆	—	4	2	no	—
407	C₁₃×M₁₆	—	4	2	no	—
408	C₂×C₈×C₁₃	—	4	2	no	—
409	C₂×C₈×C₁₃	—	4	2	no	—
410	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
415	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
416	C₁₃×C₄⋊C₄	—	2	2	no	—
417	C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₁₃×C₄⋊C₄	—	2	1	no	—
419	C₁₃×C₄⋊C₄	—	2	1	no	—
420	C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₁₃×C₄⋊C₄	—	2	2	no	—
422	C₁₃×C₄⋊C₄	—	2	2	no	—
423	C₁₃×C₄⋊C₄	—	2	2	no	—
424	C₁₃×C₄⋊C₄	—	2	2	no	—
425	C₁₃×C₄⋊C₄	—	2	2	no	—
426	C₁₃×C₄⋊C₄	—	2	2	no	—
427	C₁₃×C₄⋊C₄	—	2	1	no	—
428	C₁₃×C₄⋊C₄	—	2	1	no	—
429	C₁₃×C₄⋊C₄	—	2	1	no	—
430	C₁₃×C₄⋊C₄	—	2	1	no	—
431	C₁₃×C₄⋊C₄	—	2	1	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	2	no	—
434	C₁₃×C₄⋊C₄	—	2	1	no	—
435	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
436	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
437	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
438	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
439	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
440	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
441	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
442	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
443	C₁₃×C₂²⋊C₄	—	2	2	no	—
444	C₁₃×C₂²⋊C₄	—	2	1	no	—
445	C₁₃×C₂²⋊C₄	—	2	2	no	—
446	C₁₃×C₂²⋊C₄	—	2	1	no	—
447	C₁₃×C₂²⋊C₄	—	2	2	no	—
448	C₁₃×C₂²⋊C₄	—	2	2	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	—	2	2	no	—
451	C₁₃×C₂²⋊C₄	—	2	1	no	—
452	C₁₃×C₂²⋊C₄	—	2	2	no	—
453	C₁₃×C₂²⋊C₄	—	2	1	no	—
454	C₁₃×C₂²⋊C₄	—	2	1	no	—
455	C₁₃×C₂²⋊C₄	—	2	1	no	—
456	C₁₃×C₂²⋊C₄	—	2	1	no	—
457	C₁₃×C₂²⋊C₄	—	2	2	no	—
458	C₁₃×C₂²⋊C₄	—	2	2	no	—
459	C₁₃×C₂²⋊C₄	—	2	2	no	—
460	C₁₃×C₂²⋊C₄	—	2	1	no	—
461	C₁₃×C₂²⋊C₄	—	2	2	no	—
462	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
463	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
464	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
465	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
466	C₄²×C₁₃	—	2	1	no	—
467	C₄²×C₁₃	—	2	1	no	—
468	C₄²×C₁₃	—	2	1	no	—
469	C₄²×C₁₃	—	2	1	no	—
470	C₄²×C₁₃	—	2	2	no	—
471	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
472	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
473	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
474	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
475	#3546	C₂×C₁₃	1	1	yes	characteristic, complemented
476	#3499	C₂×C₁₃	1	1	yes	characteristic, complemented
477	#3330	C₂×C₁₃	1	1	yes	characteristic, complemented
478	#3328	C₂×C₁₃	1	1	yes	characteristic, complemented
479	#3320	C₂×C₁₃	1	2	yes	complemented
480	#3307	C₂×C₁₃	1	2	yes	complemented
481	#3302	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#3298	C₂×C₁₃	1	1	yes	characteristic, complemented
483	#3284	C₂×C₁₃	1	1	yes	characteristic, complemented
484	D₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
485	#3278	C₂×C₁₃	1	1	yes	characteristic, complemented
486	#3272	C₂×C₁₃	1	1	yes	characteristic, complemented
487	#3267	C₂×C₁₃	1	2	yes	complemented
488	#3266	C₂×C₁₃	1	2	yes	complemented
489	#3218	C₂×C₁₃	1	1	yes	characteristic, complemented
490	#3206	C₂×C₁₃	1	1	yes	characteristic, complemented
491	#3201	C₂×C₁₃	1	2	yes	complemented
492	#3200	C₂×C₁₃	1	2	yes	complemented
493	#3115	C₂×C₁₃	1	1	yes	characteristic, complemented
494	#3102	C₂×C₁₃	1	1	yes	characteristic, complemented
495	#3013	C₂×C₁₃	1	2	yes	complemented
496	#3010	C₂×C₁₃	1	2	yes	complemented
497	#2981	C₂×C₁₃	1	1	yes	characteristic, complemented
498	C₂³×C₁₃	—	2	1	no	—
499	C₂³×C₁₃	—	2	1	no	—
500	C₂³×C₁₃	—	2	2	no	—
501	C₂³×C₁₃	—	8	2	no	—
502	C₂³×C₁₃	—	8	2	no	—
503	C₂³×C₁₃	—	8	2	no	—
504	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
505	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
506	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
507	Q₈×C₁₃	—	2	1	no	—
508	Q₈×C₁₃	—	2	1	no	—
509	Q₈×C₁₃	—	2	2	no	—
510	Q₈×C₁₃	—	2	2	no	—
511	Q₈×C₁₃	—	2	2	no	—
512	Q₈×C₁₃	—	2	2	no	—
513	Q₈×C₁₃	—	2	1	no	—
514	Q₈×C₁₃	—	4	2	no	—
515	Q₈×C₁₃	—	4	4	no	—
516	Q₈×C₁₃	—	4	4	no	—
517	Q₈×C₁₃	—	4	4	no	—
518	Q₈×C₁₃	—	4	2	no	—
519	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
520	D₄×C₁₃	—	2	4	no	—
521	D₄×C₁₃	—	2	2	no	—
522	D₄×C₁₃	—	2	2	no	—
523	D₄×C₁₃	—	2	1	no	—
524	D₄×C₁₃	—	2	1	no	—
525	D₄×C₁₃	—	2	2	no	—
526	D₄×C₁₃	—	2	1	no	—
527	D₄×C₁₃	—	2	2	no	—
528	D₄×C₁₃	—	4	2	no	—
529	D₄×C₁₃	—	4	2	no	—
530	D₄×C₁₃	—	4	2	no	—
531	D₄×C₁₃	—	4	2	no	—
532	D₄×C₁₃	—	4	4	no	—
533	D₄×C₁₃	—	4	4	no	—
534	D₄×C₁₃	—	4	2	no	—
535	D₄×C₁₃	—	8	1	no	—
536	D₄×C₁₃	—	8	2	no	—
537	D₄×C₁₃	—	8	1	no	—
538	D₄×C₁₃	—	8	2	no	—
539	D₄×C₁₃	—	8	2	no	—
540	D₄×C₁₃	—	8	2	no	—
541	D₄×C₁₃	—	8	2	no	—
542	D₄×C₁₃	—	8	2	no	—
543	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
544	C₂×C₄×C₁₃	—	2	4	no	—
545	C₂×C₄×C₁₃	—	2	1	no	—
546	C₂×C₄×C₁₃	—	2	2	no	—
547	C₂×C₄×C₁₃	—	2	2	no	—
548	C₂×C₄×C₁₃	—	2	2	no	—
549	C₂×C₄×C₁₃	—	2	2	no	—
550	C₂×C₄×C₁₃	—	2	2	no	—
551	C₂×C₄×C₁₃	—	2	1	no	—
552	C₂×C₄×C₁₃	—	2	1	no	—
553	C₂×C₄×C₁₃	—	2	1	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	1	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	2	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	2	no	—
560	C₂×C₄×C₁₃	—	2	2	no	—
561	C₂×C₄×C₁₃	—	4	1	no	—
562	C₂×C₄×C₁₃	—	4	4	no	—
563	C₂×C₄×C₁₃	—	4	4	no	—
564	C₂×C₄×C₁₃	—	4	4	no	—
565	C₂×C₄×C₁₃	—	4	4	no	—
566	C₂×C₄×C₁₃	—	4	2	no	—
567	C₂×C₄×C₁₃	—	4	4	no	—
568	C₂×C₄×C₁₃	—	4	2	no	—
569	C₂×C₄×C₁₃	—	4	2	no	—
570	C₂×C₄×C₁₃	—	8	2	no	—
571	C₂×C₄×C₁₃	—	8	2	no	—
572	C₂×C₄×C₁₃	—	8	2	no	—
573	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
574	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
575	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
576	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
577	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
578	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
579	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
580	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
581	C₈×C₁₃	—	2	1	no	—
582	C₈×C₁₃	—	2	1	no	—
583	C₈×C₁₃	—	2	2	no	—
584	C₈×C₁₃	—	2	2	no	—
585	C₈×C₁₃	—	2	1	no	—
586	C₈×C₁₃	—	2	1	no	—
587	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
588	C₂×#137	C₂²×C₁₃	1	2	yes	complemented
589	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	2	yes	—
590	C₂×#135	C₂²×C₁₃	1	2	yes	complemented
591	C₂²×SD₁₆	C₂²×C₁₃	1	2	yes	—
592	#560	—	2	2	no	—
593	#556	C₂²×C₁₃	1	1	yes	characteristic
594	#553	C₂²×C₁₃	1	2	yes	—
595	#550	—	2	1	no	—
596	#550	C₂²×C₁₃	1	1	yes	characteristic
597	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
598	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
599	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	#547	—	2	1	no	—
601	#547	—	2	1	no	—
602	#547	—	2	2	no	—
603	#547	C₂²×C₁₃	1	1	yes	characteristic
604	#547	C₂²×C₁₃	1	1	yes	characteristic
605	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
606	#547	C₂²×C₁₃	1	2	yes	complemented
607	#546	—	2	1	no	—
608	#546	C₂²×C₁₃	1	2	yes	—
609	D₄²	C₂²×C₁₃	1	1	yes	characteristic
610	#542	—	2	1	no	—
611	#538	—	2	2	no	—
612	#537	C₂²×C₁₃	1	2	yes	—
613	#536	—	2	2	no	—
614	#536	C₂²×C₁₃	1	2	yes	complemented
615	#535	—	2	1	no	—
616	#535	C₂²×C₁₃	1	2	yes	—
617	#532	—	2	1	no	—
618	#532	C₂²×C₁₃	1	1	yes	characteristic
619	#532	C₂²×C₁₃	1	1	yes	characteristic
620	C₂×C₄⋊Q₈	—	2	1	no	—
621	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
622	#529	C₂²×C₁₃	1	1	yes	characteristic
623	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
624	#497	C₂²×C₁₃	1	2	yes	—
625	#492	C₂²×C₁₃	1	1	yes	characteristic
626	#492	C₂²×C₁₃	1	1	yes	characteristic
627	#491	C₂²×C₁₃	1	2	yes	complemented
628	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
629	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
630	#485	C₂²×C₁₃	1	2	yes	complemented
631	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
632	#485	C₂²×C₁₃	1	2	yes	complemented
633	#484	C₂²×C₁₃	1	2	yes	complemented
634	#483	C₂²×C₁₃	1	2	yes	complemented
635	#482	C₂²×C₁₃	1	1	yes	characteristic
636	#482	C₂²×C₁₃	1	2	yes	complemented
637	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
639	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	#474	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	#470	C₂²×C₁₃	1	2	yes	complemented
642	#468	C₂²×C₁₃	1	2	yes	—
643	#468	C₂²×C₁₃	1	2	yes	—
644	#468	C₂²×C₁₃	1	2	yes	complemented
645	#467	C₂²×C₁₃	1	2	yes	complemented
646	#465	C₂²×C₁₃	1	2	yes	—
647	#465	C₂²×C₁₃	1	2	yes	—
648	#465	C₂²×C₁₃	1	2	yes	complemented
649	#464	C₂²×C₁₃	1	1	yes	characteristic
650	#463	C₂²×C₁₃	1	1	yes	characteristic
651	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#461	C₂²×C₁₃	1	1	yes	characteristic
654	#461	C₂²×C₁₃	1	1	yes	characteristic
655	#461	C₂²×C₁₃	1	2	yes	complemented
656	#461	C₂²×C₁₃	1	2	yes	complemented
657	#460	C₂²×C₁₃	1	1	yes	characteristic
658	#459	C₂²×C₁₃	1	1	yes	characteristic
659	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	#452	C₂²×C₁₃	1	2	yes	complemented
661	#452	C₂²×C₁₃	1	2	yes	complemented
662	#452	C₂²×C₁₃	1	2	yes	complemented
663	#451	C₂²×C₁₃	1	2	yes	complemented
664	#451	C₂²×C₁₃	1	2	yes	complemented
665	#450	C₂²×C₁₃	1	2	yes	—
666	#450	C₂²×C₁₃	1	2	yes	—
667	#449	C₂²×C₁₃	1	2	yes	—
668	#449	C₂²×C₁₃	1	1	yes	characteristic
669	#449	C₂²×C₁₃	1	2	yes	—
670	#449	C₂²×C₁₃	1	2	yes	complemented
671	#449	C₂²×C₁₃	1	2	yes	complemented
672	#448	C₂²×C₁₃	1	2	yes	—
673	#448	C₂²×C₁₃	1	2	yes	—
674	#448	C₂²×C₁₃	1	2	yes	—
675	#448	C₂²×C₁₃	1	2	yes	complemented
676	#448	C₂²×C₁₃	1	2	yes	complemented
677	#448	C₂²×C₁₃	1	2	yes	complemented
678	#442	C₂²×C₁₃	1	2	yes	complemented
679	#440	C₂²×C₁₃	1	2	yes	complemented
680	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
682	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
683	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
684	#436	C₂²×C₁₃	1	1	yes	characteristic
685	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
686	#435	C₂²×C₁₃	1	2	yes	complemented
687	#435	C₂²×C₁₃	1	2	yes	complemented
688	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
689	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
690	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
691	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
692	#419	C₂²×C₁₃	1	2	yes	complemented
693	#417	C₂²×C₁₃	1	2	yes	complemented
694	#416	C₂²×C₁₃	1	2	yes	complemented
695	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
696	#408	C₂²×C₁₃	1	2	yes	complemented
697	#408	C₂²×C₁₃	1	2	yes	complemented
698	C₂²×C₁₃	—	2	1	no	—
699	C₂²×C₁₃	—	2	2	no	—
700	C₂²×C₁₃	—	2	2	no	—
701	C₂²×C₁₃	—	2	1	no	—
702	C₂²×C₁₃	—	2	2	no	—
703	C₂²×C₁₃	—	2	2	no	—
704	C₂²×C₁₃	—	2	2	no	—
705	C₂²×C₁₃	—	2	1	no	—
706	C₂²×C₁₃	—	2	2	no	—
707	C₂²×C₁₃	—	2	2	no	—
708	C₂²×C₁₃	—	4	1	no	—
709	C₂²×C₁₃	—	4	1	no	—
710	C₂²×C₁₃	—	4	2	no	—
711	C₂²×C₁₃	—	4	1	no	—
712	C₂²×C₁₃	—	4	2	no	—
713	C₂²×C₁₃	—	4	1	no	—
714	C₂²×C₁₃	—	4	1	no	—
715	C₂²×C₁₃	—	4	2	no	—
716	C₂²×C₁₃	—	16	4	no	—
717	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
718	C₄×C₁₃	—	2	1	no	—
719	C₄×C₁₃	—	2	1	no	—
720	C₄×C₁₃	—	2	1	no	—
721	C₄×C₁₃	—	2	2	no	—
722	C₄×C₁₃	—	2	2	no	—
723	C₄×C₁₃	—	2	2	no	—
724	C₄×C₁₃	—	2	1	no	—
725	C₄×C₁₃	—	4	1	no	—
726	C₄×C₁₃	—	4	1	no	—
727	C₄×C₁₃	—	4	2	no	—
728	C₄×C₁₃	—	4	2	no	—
729	C₄×C₁₃	—	4	1	no	—
730	C₄×C₁₃	—	4	1	no	—
731	C₄×C₁₃	—	4	1	no	—
732	C₄×C₁₃	—	4	2	no	—
733	C₄×C₁₃	#577	1	2	yes	—
734	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
735	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
736	2₋¹⁺⁴	—	4	4	no	—
737	2₋¹⁺⁴	—	4	4	no	—
738	C₂×#41	—	2	2	no	—
739	C₂×#41	—	2	2	no	—
740	C₂×#41	—	2	2	no	—
741	C₂×#41	—	2	1	no	—
742	C₂×#41	—	2	1	no	—
743	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
744	C₂×#41	C₂³×C₁₃	1	2	yes	—
745	C₂×#41	C₂³×C₁₃	1	2	yes	—
746	C₂×#41	C₂³×C₁₃	1	2	yes	—
747	C₂×#41	C₂³×C₁₃	1	2	yes	—
748	C₂²×Q₈	—	2	2	no	—
749	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
750	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
751	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
752	C₂²×D₄	—	2	1	no	—
753	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
754	#137	—	4	4	no	—
755	AGL(1,ℤ/8)	—	4	4	no	—
756	#135	—	4	4	no	—
757	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
758	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
759	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
760	C₂×SD₁₆	—	4	4	no	—
761	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
762	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
763	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
764	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
765	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
766	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
767	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
768	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
769	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
770	C₂×D₈	C₂³×C₁₃	1	2	yes	—
771	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
772	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
773	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
774	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
775	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
776	C₄⋊Q₈	—	2	2	no	—
777	C₄⋊Q₈	—	2	1	no	—
778	C₄⋊Q₈	—	2	1	no	—
779	C₄⋊Q₈	—	2	2	no	—
780	C₄⋊Q₈	—	2	1	no	—
781	C₄⋊Q₈	—	2	1	no	—
782	C₄⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
783	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
784	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
785	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
786	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
787	#127	—	2	1	no	—
788	#127	—	2	2	no	—
789	#127	D₄×C₁₃	1	1	yes	characteristic
790	#127	C₂³×C₁₃	1	1	yes	characteristic
791	#126	—	2	2	no	—
792	#126	—	2	2	no	—
793	#126	—	2	1	no	—
794	#125	C₂³×C₁₃	1	1	yes	characteristic
795	#124	—	2	2	no	—
796	#124	—	2	2	no	—
797	#124	—	2	1	no	—
798	#124	—	2	1	no	—
799	#124	D₄×C₁₃	1	2	yes	—
800	#124	C₂³×C₁₃	1	1	yes	characteristic
801	#123	—	2	2	no	—
802	#123	—	2	2	no	—
803	#123	—	2	1	no	—
804	#123	—	2	2	no	—
805	#123	—	2	2	no	—
806	#123	—	2	2	no	—
807	#123	—	2	2	no	—
808	#123	—	2	2	no	—
809	#123	—	2	2	no	—
810	#123	—	2	2	no	—
811	C₂²⋊Q₈	—	2	2	no	—
812	C₂²⋊Q₈	—	2	1	no	—
813	C₂²⋊Q₈	—	2	2	no	—
814	C₂²⋊Q₈	—	2	2	no	—
815	C₂²⋊Q₈	—	2	2	no	—
816	C₂²⋊Q₈	—	2	2	no	—
817	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
818	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
819	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
820	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
821	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
822	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
823	#121	—	2	1	no	—
824	#121	—	2	1	no	—
825	#121	—	2	2	no	—
826	#121	—	2	2	no	—
827	#121	—	2	2	no	—
828	#121	—	2	2	no	—
829	#121	—	2	2	no	—
830	#121	—	2	1	no	—
831	#121	—	2	1	no	—
832	#121	—	2	2	no	—
833	#121	—	2	2	no	—
834	#121	D₄×C₁₃	1	1	yes	characteristic
835	#121	D₄×C₁₃	1	1	yes	characteristic
836	#121	D₄×C₁₃	1	2	yes	—
837	#121	C₂³×C₁₃	1	1	yes	characteristic
838	#121	C₂³×C₁₃	1	2	yes	—
839	#121	C₂³×C₁₃	1	2	yes	—
840	#121	C₂³×C₁₃	1	2	yes	—
841	#121	C₂³×C₁₃	1	2	yes	—
842	#120	—	2	2	no	—
843	#120	—	2	2	no	—
844	#120	—	2	2	no	—
845	#120	—	2	2	no	—
846	C₄×Q₈	—	2	1	no	—
847	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
848	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
849	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
850	C₄×D₄	—	2	1	no	—
851	C₄×D₄	—	2	1	no	—
852	C₄×D₄	—	2	2	no	—
853	C₄×D₄	—	2	1	no	—
854	C₄×D₄	—	2	1	no	—
855	C₄×D₄	—	2	1	no	—
856	C₄×D₄	—	2	1	no	—
857	C₄×D₄	—	2	2	no	—
858	C₄×D₄	—	2	1	no	—
859	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
860	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
861	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
862	C₄×D₄	C₂³×C₁₃	1	2	yes	—
863	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
864	C₄×D₄	C₂³×C₁₃	1	2	yes	—
865	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
866	#117	—	2	1	no	—
867	#117	—	2	1	no	—
868	#117	C₂³×C₁₃	1	1	yes	characteristic
869	#117	C₂³×C₁₃	1	2	yes	—
870	C₂×C₄⋊C₄	—	2	1	no	—
871	C₂×C₄⋊C₄	—	2	1	no	—
872	C₂×C₄⋊C₄	—	2	1	no	—
873	C₂×C₄⋊C₄	—	2	1	no	—
874	C₂×C₄⋊C₄	—	2	2	no	—
875	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
876	C₂×C₂²⋊C₄	—	2	2	no	—
877	C₂×C₄²	—	2	1	no	—
878	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
879	#107	C₂³×C₁₃	1	1	yes	characteristic
880	#107	C₂³×C₁₃	1	1	yes	characteristic
881	#107	C₂³×C₁₃	1	2	yes	—
882	#106	C₂³×C₁₃	1	1	yes	characteristic
883	#106	C₂³×C₁₃	1	1	yes	characteristic
884	#106	C₂³×C₁₃	1	2	yes	—
885	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
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	#103	C₂³×C₁₃	1	1	yes	characteristic
890	#103	C₂³×C₁₃	1	2	yes	—
891	#103	C₂³×C₁₃	1	2	yes	—
892	#103	C₂³×C₁₃	1	2	yes	—
893	#103	C₂³×C₁₃	1	2	yes	—
894	#103	C₂³×C₁₃	1	2	yes	—
895	#103	C₂³×C₁₃	1	2	yes	—
896	#103	C₂³×C₁₃	1	2	yes	—
897	#103	C₂³×C₁₃	1	1	yes	characteristic
898	#103	C₂³×C₁₃	1	2	yes	—
899	#103	C₂³×C₁₃	1	2	yes	—
900	#103	C₂³×C₁₃	1	1	yes	characteristic
901	#103	C₂³×C₁₃	1	1	yes	characteristic
902	#102	C₂³×C₁₃	1	1	yes	characteristic
903	#102	C₂³×C₁₃	1	2	yes	—
904	#102	C₂³×C₁₃	1	1	yes	characteristic
905	#102	C₂³×C₁₃	1	1	yes	characteristic
906	#102	C₂³×C₁₃	1	1	yes	characteristic
907	#102	C₂³×C₁₃	1	2	yes	—
908	#102	C₂³×C₁₃	1	2	yes	—
909	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
910	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
911	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
912	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
913	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
914	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
915	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
916	#97	C₂³×C₁₃	1	2	yes	—
917	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
918	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
919	C₂×C₁₃	—	4	1	no	—
920	C₂×C₁₃	—	4	2	no	—
921	C₂×C₁₃	—	4	2	no	—
922	C₂×C₁₃	—	4	2	no	—
923	C₂×C₁₃	—	8	2	no	—
924	C₂×C₁₃	—	8	1	no	—
925	C₂×C₁₃	#3484	1	1	yes	characteristic
926	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
927	C₂×C₁₃	#3586	1	1	yes	characteristic
928	C₂⁴	—	2	2	no	—
929	#41	—	2	2	no	—
930	#41	—	2	2	no	—
931	#41	—	2	4	no	—
932	#41	—	2	4	no	—
933	#41	—	4	2	no	—
934	#41	—	4	2	no	—
935	#41	—	4	2	no	—
936	#41	—	4	2	no	—
937	#41	—	4	8	no	—
938	#41	—	4	2	no	—
939	#41	—	4	2	no	—
940	#41	—	4	8	no	—
941	#41	—	4	8	no	—
942	#41	—	8	2	no	—
943	#41	—	8	2	no	—
944	C₂×Q₈	—	2	1	no	—
945	C₂×Q₈	—	2	2	no	—
946	C₂×Q₈	—	2	2	no	—
947	C₂×Q₈	—	2	2	no	—
948	C₂×Q₈	—	2	4	no	—
949	C₂×Q₈	—	2	4	no	—
950	C₂×Q₈	—	4	2	no	—
951	C₂×Q₈	—	4	2	no	—
952	C₂×Q₈	—	4	2	no	—
953	C₂×Q₈	—	4	2	no	—
954	C₂×Q₈	—	4	8	no	—
955	C₂×Q₈	C₂×D₄×C₁₃	1	2	yes	—
956	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
957	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
958	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
959	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂×D₄	—	2	1	no	—
961	C₂×D₄	—	2	2	no	—
962	C₂×D₄	—	2	2	no	—
963	C₂×D₄	—	2	1	no	—
964	C₂×D₄	—	2	2	no	—
965	C₂×D₄	—	2	2	no	—
966	C₂×D₄	—	2	2	no	—
967	C₂×D₄	—	2	2	no	—
968	C₂×D₄	—	2	2	no	—
969	C₂×D₄	—	2	1	no	—
970	C₂×D₄	—	2	1	no	—
971	C₂×D₄	—	2	2	no	—
972	C₂×D₄	—	4	2	no	—
973	C₂×D₄	—	4	2	no	—
974	C₂×D₄	—	8	2	no	—
975	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
976	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
977	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
978	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
979	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
980	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
981	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
982	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
983	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
984	C₂²×C₄	—	2	1	no	—
985	C₂²×C₄	—	2	2	no	—
986	C₂²×C₄	—	2	2	no	—
987	C₂²×C₄	—	2	2	no	—
988	C₂²×C₄	—	2	2	no	—
989	C₂²×C₄	—	2	1	no	—
990	C₂²×C₄	—	2	1	no	—
991	C₂²×C₄	—	2	2	no	—
992	C₂²×C₄	—	2	2	no	—
993	C₂²×C₄	—	2	1	no	—
994	C₂²×C₄	—	2	2	no	—
995	C₂²×C₄	—	2	2	no	—
996	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
997	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
998	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1000	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1001	Q₁₆	—	2	2	no	—
1002	Q₁₆	—	4	2	no	—
1003	Q₁₆	—	4	2	no	—
1004	SD₁₆	—	2	2	no	—
1005	SD₁₆	—	2	4	no	—
1006	SD₁₆	—	2	2	no	—
1007	SD₁₆	—	4	2	no	—
1008	SD₁₆	—	4	2	no	—
1009	SD₁₆	—	4	2	no	—
1010	SD₁₆	—	4	2	no	—
1011	SD₁₆	—	4	2	no	—
1012	SD₁₆	—	4	2	no	—
1013	D₈	—	2	4	no	—
1014	D₈	—	2	2	no	—
1015	M₁₆	—	4	2	no	—
1016	M₁₆	—	4	2	no	—
1017	C₂×C₈	—	4	2	no	—
1018	C₂×C₈	—	4	2	no	—
1019	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1020	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1021	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1022	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1023	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1024	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1025	C₄⋊C₄	—	2	2	no	—
1026	C₄⋊C₄	—	2	1	no	—
1027	C₄⋊C₄	—	2	1	no	—
1028	C₄⋊C₄	—	2	1	no	—
1029	C₄⋊C₄	—	2	1	no	—
1030	C₄⋊C₄	—	2	2	no	—
1031	C₄⋊C₄	—	2	2	no	—
1032	C₄⋊C₄	—	2	2	no	—
1033	C₄⋊C₄	—	2	2	no	—
1034	C₄⋊C₄	—	2	2	no	—
1035	C₄⋊C₄	—	2	2	no	—
1036	C₄⋊C₄	—	2	1	no	—
1037	C₄⋊C₄	—	2	1	no	—
1038	C₄⋊C₄	—	2	1	no	—
1039	C₄⋊C₄	—	2	1	no	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	2	2	no	—
1043	C₄⋊C₄	—	2	1	no	—
1044	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1045	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1046	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1047	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1048	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1049	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1050	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1051	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1052	C₂²⋊C₄	—	2	2	no	—
1053	C₂²⋊C₄	—	2	1	no	—
1054	C₂²⋊C₄	—	2	2	no	—
1055	C₂²⋊C₄	—	2	1	no	—
1056	C₂²⋊C₄	—	2	2	no	—
1057	C₂²⋊C₄	—	2	2	no	—
1058	C₂²⋊C₄	—	2	2	no	—
1059	C₂²⋊C₄	—	2	2	no	—
1060	C₂²⋊C₄	—	2	1	no	—
1061	C₂²⋊C₄	—	2	2	no	—
1062	C₂²⋊C₄	—	2	1	no	—
1063	C₂²⋊C₄	—	2	1	no	—
1064	C₂²⋊C₄	—	2	1	no	—
1065	C₂²⋊C₄	—	2	1	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	2	2	no	—
1069	C₂²⋊C₄	—	2	1	no	—
1070	C₂²⋊C₄	—	2	2	no	—
1071	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1072	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1073	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1074	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1075	C₄²	—	2	1	no	—
1076	C₄²	—	2	1	no	—
1077	C₄²	—	2	1	no	—
1078	C₄²	—	2	1	no	—
1079	C₄²	—	2	2	no	—
1080	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1081	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1082	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1083	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1084	C₁₃	#61692	1	1	yes	characteristic, direct product factor, Sylow
1085	C₂³	—	2	1	no	—
1086	C₂³	—	2	1	no	—
1087	C₂³	—	2	2	no	—
1088	C₂³	—	8	2	no	—
1089	C₂³	—	8	2	no	—
1090	C₂³	—	8	2	no	—
1091	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1092	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1093	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1094	Q₈	—	2	1	no	—
1095	Q₈	—	2	1	no	—
1096	Q₈	—	2	2	no	—
1097	Q₈	—	2	2	no	—
1098	Q₈	—	2	2	no	—
1099	Q₈	—	2	2	no	—
1100	Q₈	—	2	1	no	—
1101	Q₈	—	4	2	no	—
1102	Q₈	—	4	4	no	—
1103	Q₈	—	4	4	no	—
1104	Q₈	—	4	4	no	—
1105	Q₈	—	4	2	no	—
1106	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1107	D₄	—	2	4	no	—
1108	D₄	—	2	2	no	—
1109	D₄	—	2	2	no	—
1110	D₄	—	2	1	no	—
1111	D₄	—	2	1	no	—
1112	D₄	—	2	2	no	—
1113	D₄	—	2	1	no	—
1114	D₄	—	2	2	no	—
1115	D₄	—	4	2	no	—
1116	D₄	—	4	2	no	—
1117	D₄	—	4	2	no	—
1118	D₄	—	4	2	no	—
1119	D₄	—	4	4	no	—
1120	D₄	—	4	4	no	—
1121	D₄	—	4	2	no	—
1122	D₄	—	8	2	no	—
1123	D₄	—	8	1	no	—
1124	D₄	—	8	2	no	—
1125	D₄	—	8	1	no	—
1126	D₄	—	8	2	no	—
1127	D₄	—	8	2	no	—
1128	D₄	—	8	2	no	—
1129	D₄	—	8	2	no	—
1130	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1131	C₂×C₄	—	2	4	no	—
1132	C₂×C₄	—	2	1	no	—
1133	C₂×C₄	—	2	2	no	—
1134	C₂×C₄	—	2	2	no	—
1135	C₂×C₄	—	2	2	no	—
1136	C₂×C₄	—	2	2	no	—
1137	C₂×C₄	—	2	2	no	—
1138	C₂×C₄	—	2	1	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	2	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	2	no	—
1147	C₂×C₄	—	2	2	no	—
1148	C₂×C₄	—	4	1	no	—
1149	C₂×C₄	—	4	4	no	—
1150	C₂×C₄	—	4	4	no	—
1151	C₂×C₄	—	4	4	no	—
1152	C₂×C₄	—	4	4	no	—
1153	C₂×C₄	—	4	2	no	—
1154	C₂×C₄	—	4	4	no	—
1155	C₂×C₄	—	4	2	no	—
1156	C₂×C₄	—	4	2	no	—
1157	C₂×C₄	—	8	2	no	—
1158	C₂×C₄	—	8	2	no	—
1159	C₂×C₄	—	8	2	no	—
1160	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1161	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1162	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1163	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1164	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1165	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1166	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1167	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1168	C₈	—	2	1	no	—
1169	C₈	—	2	1	no	—
1170	C₈	—	2	2	no	—
1171	C₈	—	2	2	no	—
1172	C₈	—	2	1	no	—
1173	C₈	—	2	1	no	—
1174	C₂²	—	2	1	no	—
1175	C₂²	—	2	2	no	—
1176	C₂²	—	2	2	no	—
1177	C₂²	—	2	1	no	—
1178	C₂²	—	2	2	no	—
1179	C₂²	—	2	2	no	—
1180	C₂²	—	2	1	no	—
1181	C₂²	—	2	2	no	—
1182	C₂²	—	2	2	no	—
1183	C₂²	—	2	2	no	—
1184	C₂²	—	4	1	no	—
1185	C₂²	—	4	1	no	—
1186	C₂²	—	4	1	no	—
1187	C₂²	—	4	2	no	—
1188	C₂²	—	4	2	no	—
1189	C₂²	—	4	1	no	—
1190	C₂²	—	4	2	no	—
1191	C₂²	—	4	1	no	—
1192	C₂²	—	16	4	no	—
1193	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1194	C₄	—	2	1	no	—
1195	C₄	—	2	1	no	—
1196	C₄	—	2	1	no	—
1197	C₄	—	2	1	no	—
1198	C₄	—	2	2	no	—
1199	C₄	—	2	2	no	—
1200	C₄	—	2	2	no	—
1201	C₄	—	4	1	no	—
1202	C₄	—	4	1	no	—
1203	C₄	—	4	2	no	—
1204	C₄	—	4	1	no	—
1205	C₄	—	4	1	no	—
1206	C₄	—	4	2	no	—
1207	C₄	—	4	2	no	—
1208	C₄	—	4	1	no	—
1209	C₄	C₁₃×#577	1	2	yes	—
1210	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1211	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1212	C₂	—	4	2	no	—
1213	C₂	—	4	1	no	—
1214	C₂	—	4	2	no	—
1215	C₂	—	4	2	no	—
1216	C₂	—	8	1	no	—
1217	C₂	—	8	2	no	—
1218	C₂	C₁₃×#3484	1	1	yes	characteristic
1219	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1220	C₂	C₁₃×#3586	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×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3546	C₂	semidirect
2. C₁₃×#3499	C₂	semidirect
3. C₁₃×#3330	C₂	semidirect
4. C₁₃×#3328	C₂	semidirect
5. C₁₃×#3320	C₂	semidirect
6. C₁₃×#3307	C₂	semidirect
7. C₁₃×#3302	C₂	semidirect
8. C₁₃×#3298	C₂	semidirect
9. C₁₃×#3284	C₂	semidirect
10. D₄×C₁₃×SD₁₆	C₂	semidirect
11. C₁₃×#3278	C₂	semidirect
12. C₁₃×#3272	C₂	semidirect
13. C₁₃×#3267	C₂	semidirect
14. C₁₃×#3266	C₂	semidirect
15. C₁₃×#3218	C₂	semidirect
16. C₁₃×#3206	C₂	semidirect
17. C₁₃×#3201	C₂	semidirect
18. C₁₃×#3200	C₂	semidirect
19. C₁₃×#3115	C₂	semidirect
20. C₁₃×#3102	C₂	semidirect
21. C₁₃×#3013	C₂	semidirect
22. C₁₃×#3010	C₂	semidirect
23. C₁₃×#2981	C₂	semidirect
24. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
25. C₂×C₁₃×#137	C₂²	semidirect
27. C₂×C₁₃×#135	C₂²	semidirect
35. D₄×Q₈×C₁₃	C₂²	semidirect
36. D₄×Q₈×C₁₃	C₂²	semidirect
42. C₁₃×#547	C₂²	semidirect
43. C₁₃×#547	C₂²	semidirect
51. C₁₃×#536	C₂²	semidirect
58. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
60. C₄×C₁₃×#41	C₂²	semidirect
64. C₁₃×#491	C₂²	semidirect
65. C₁₃×#487	C₂²	semidirect
66. C₁₃×#487	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
68. C₁₃×#485	C₂²	semidirect
69. C₁₃×#485	C₂²	semidirect
70. C₁₃×#484	C₂²	semidirect
71. C₁₃×#483	C₂²	semidirect
73. C₁₃×#482	C₂²	semidirect
74. C₁₃×#479	C₂²	semidirect
75. C₁₃×#478	C₂²	semidirect
76. C₁₃×#475	C₂²	semidirect
77. C₁₃×#474	C₂²	semidirect
78. C₁₃×#470	C₂²	semidirect
81. C₁₃×#468	C₂²	semidirect
82. C₁₃×#467	C₂²	semidirect
85. C₁₃×#465	C₂²	semidirect
88. C₁₃×#462	C₂²	semidirect
89. C₁₃×#462	C₂²	semidirect
92. C₁₃×#461	C₂²	semidirect
93. C₁₃×#461	C₂²	semidirect
96. C₁₃×#452	C₂²	semidirect
97. C₁₃×#452	C₂²	semidirect
98. C₁₃×#452	C₂²	semidirect
99. C₁₃×#452	C₂²	semidirect
100. C₁₃×#451	C₂²	semidirect
101. C₁₃×#451	C₂²	semidirect
107. C₁₃×#449	C₂²	semidirect
108. C₁₃×#449	C₂²	semidirect
112. C₁₃×#448	C₂²	semidirect
113. C₁₃×#448	C₂²	semidirect
114. C₁₃×#448	C₂²	semidirect
115. C₁₃×#442	C₂²	semidirect
116. C₁₃×#440	C₂²	semidirect
117. C₄×C₁₃×Q₁₆	C₂²	semidirect
119. C₄×C₁₃×SD₁₆	C₂²	semidirect
122. C₁₃×#436	C₂²	semidirect
123. C₁₃×#435	C₂²	semidirect
124. C₁₃×#435	C₂²	semidirect
126. C₈×D₄×C₁₃	C₂²	semidirect
127. C₁₃×#432	C₂²	semidirect
128. C₁₃×#431	C₂²	semidirect
129. C₁₃×#419	C₂²	semidirect
130. C₁₃×#417	C₂²	semidirect
131. C₁₃×#416	C₂²	semidirect
132. C₂×C₁₃×#103	C₂²	semidirect
133. C₁₃×#408	C₂²	semidirect
134. C₁₃×#408	C₂²	semidirect
318. #61692	C₁₃	direct (N × H)
475. #3546	C₂×C₁₃	semidirect
476. #3499	C₂×C₁₃	semidirect
477. #3330	C₂×C₁₃	semidirect
478. #3328	C₂×C₁₃	semidirect
479. #3320	C₂×C₁₃	semidirect
480. #3307	C₂×C₁₃	semidirect
481. #3302	C₂×C₁₃	semidirect
482. #3298	C₂×C₁₃	semidirect
483. #3284	C₂×C₁₃	semidirect
484. D₄×SD₁₆	C₂×C₁₃	semidirect
485. #3278	C₂×C₁₃	semidirect
486. #3272	C₂×C₁₃	semidirect
487. #3267	C₂×C₁₃	semidirect
488. #3266	C₂×C₁₃	semidirect
489. #3218	C₂×C₁₃	semidirect
490. #3206	C₂×C₁₃	semidirect
491. #3201	C₂×C₁₃	semidirect
492. #3200	C₂×C₁₃	semidirect
493. #3115	C₂×C₁₃	semidirect
494. #3102	C₂×C₁₃	semidirect
495. #3013	C₂×C₁₃	semidirect
496. #3010	C₂×C₁₃	semidirect
497. #2981	C₂×C₁₃	semidirect
587. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
588. C₂×#137	C₂²×C₁₃	semidirect
590. C₂×#135	C₂²×C₁₃	semidirect
598. D₄×Q₈	C₂²×C₁₃	semidirect
599. D₄×Q₈	C₂²×C₁₃	semidirect
605. #547	C₂²×C₁₃	semidirect
606. #547	C₂²×C₁₃	semidirect
614. #536	C₂²×C₁₃	semidirect
621. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
623. C₄×#41	C₂²×C₁₃	semidirect
627. #491	C₂²×C₁₃	semidirect
628. #487	C₂²×C₁₃	semidirect
629. #487	C₂²×C₁₃	semidirect
630. #485	C₂²×C₁₃	semidirect
631. #485	C₂²×C₁₃	semidirect
632. #485	C₂²×C₁₃	semidirect
633. #484	C₂²×C₁₃	semidirect
634. #483	C₂²×C₁₃	semidirect
636. #482	C₂²×C₁₃	semidirect
637. #479	C₂²×C₁₃	semidirect
638. #478	C₂²×C₁₃	semidirect
639. #475	C₂²×C₁₃	semidirect
640. #474	C₂²×C₁₃	semidirect
641. #470	C₂²×C₁₃	semidirect
644. #468	C₂²×C₁₃	semidirect
645. #467	C₂²×C₁₃	semidirect
648. #465	C₂²×C₁₃	semidirect
651. #462	C₂²×C₁₃	semidirect
652. #462	C₂²×C₁₃	semidirect
655. #461	C₂²×C₁₃	semidirect
656. #461	C₂²×C₁₃	semidirect
659. #452	C₂²×C₁₃	semidirect
660. #452	C₂²×C₁₃	semidirect
661. #452	C₂²×C₁₃	semidirect
662. #452	C₂²×C₁₃	semidirect
663. #451	C₂²×C₁₃	semidirect
664. #451	C₂²×C₁₃	semidirect
670. #449	C₂²×C₁₃	semidirect
671. #449	C₂²×C₁₃	semidirect
675. #448	C₂²×C₁₃	semidirect
676. #448	C₂²×C₁₃	semidirect
677. #448	C₂²×C₁₃	semidirect
678. #442	C₂²×C₁₃	semidirect
679. #440	C₂²×C₁₃	semidirect
680. C₄×Q₁₆	C₂²×C₁₃	semidirect
682. C₄×SD₁₆	C₂²×C₁₃	semidirect
685. #436	C₂²×C₁₃	semidirect
686. #435	C₂²×C₁₃	semidirect
687. #435	C₂²×C₁₃	semidirect
689. C₈×D₄	C₂²×C₁₃	semidirect
690. #432	C₂²×C₁₃	semidirect
691. #431	C₂²×C₁₃	semidirect
692. #419	C₂²×C₁₃	semidirect
693. #417	C₂²×C₁₃	semidirect
694. #416	C₂²×C₁₃	semidirect
695. C₂×#103	C₂²×C₁₃	semidirect
696. #408	C₂²×C₁₃	semidirect
697. #408	C₂²×C₁₃	semidirect
1084. C₁₃	#61692	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×#3546	2
C₁₃×#3499	2
C₁₃×#3330	2
C₁₃×#3328	2
C₁₃×#3320	2
C₁₃×#3307	2
C₁₃×#3302	2
C₁₃×#3298	2
C₁₃×#3284	2
D₄×C₁₃×SD₁₆	2
C₁₃×#3278	2
C₁₃×#3272	2
C₁₃×#3267	2
C₁₃×#3266	2
C₁₃×#3218	2
C₁₃×#3206	2
C₁₃×#3201	2
C₁₃×#3200	2
C₁₃×#3115	2
C₁₃×#3102	2
C₁₃×#3013	2
C₁₃×#3010	2
C₁₃×#2981	2
#61692	13

Subgroups — C13×#61692 #15748031

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61692 #15748031