Subgroups — C₁₃×#61170 #15747509

Order 3328.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1246 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3487	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3321	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3317	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3313	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3309	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3305	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3304	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3301	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3300	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3136	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3096	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3093	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3082	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3062	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3050	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3045	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3005	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2947	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2929	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2898	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
26	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic
27	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
28	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#131	C₂²	1	1	yes	characteristic
30	C₂³×C₈×C₁₃	C₂²	1	1	yes	characteristic
31	C₁₃×#556	—	2	1	no	—
32	C₁₃×#556	C₂²	1	2	yes	complemented
33	C₁₃×#555	—	2	1	no	—
34	C₁₃×#555	C₂²	1	2	yes	complemented
35	C₁₃×#553	—	2	1	no	—
36	C₁₃×#553	C₂²	1	2	yes	complemented
37	C₁₃×#552	—	2	1	no	—
38	C₁₃×#552	C₂²	1	2	yes	complemented
39	C₁₃×#550	—	2	1	no	—
40	C₁₃×#550	—	2	1	no	—
41	C₁₃×#550	C₂²	1	2	yes	—
42	C₁₃×#550	C₂²	1	2	yes	—
43	C₁₃×#548	—	2	1	no	—
44	C₁₃×#548	—	2	1	no	—
45	C₁₃×#548	C₂²	1	2	yes	—
46	C₁₃×#548	C₂²	1	2	yes	—
47	C₁₃×#544	C₂²	1	1	yes	characteristic
48	C₁₃×#538	—	2	2	no	—
49	C₁₃×#537	C₂²	1	1	yes	characteristic
50	C₁₃×#535	—	2	2	no	—
51	C₁₃×#535	C₂²	1	1	yes	characteristic
52	C₁₃×#535	C₂²	1	1	yes	characteristic
53	C₁₃×#529	—	2	2	no	—
54	C₁₃×#525	—	2	2	no	—
55	C₁₃×#525	C₂²	1	1	yes	characteristic
56	C₁₃×#525	C₂²	1	1	yes	characteristic
57	C₁₃×#525	C₂²	1	1	yes	characteristic
58	C₁₃×#520	C₂²	1	1	yes	characteristic
59	C₁₃×#520	C₂²	1	1	yes	characteristic
60	C₁₃×#519	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
62	C₁₃×#490	C₂²	1	2	yes	complemented
63	C₁₃×#489	C₂²	1	2	yes	complemented
64	C₁₃×#488	C₂²	1	2	yes	complemented
65	C₁₃×#486	C₂²	1	2	yes	complemented
66	C₁₃×#485	C₂²	1	2	yes	complemented
67	C₁₃×#485	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×#481	C₂²	1	2	yes	complemented
73	C₁₃×#480	C₂²	1	2	yes	complemented
74	C₁₃×#479	C₂²	1	2	yes	complemented
75	C₁₃×#479	C₂²	1	2	yes	complemented
76	C₁₃×#477	C₂²	1	2	yes	complemented
77	C₁₃×#475	C₂²	1	2	yes	complemented
78	C₁₃×#469	C₂²	1	2	yes	complemented
79	C₁₃×#468	C₂²	1	2	yes	complemented
80	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#466	C₂²	1	2	yes	complemented
83	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#465	C₂²	1	2	yes	complemented
86	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#464	C₂²	1	2	yes	complemented
91	C₁₃×#463	C₂²	1	2	yes	complemented
92	C₁₃×#460	C₂²	1	2	yes	complemented
93	C₁₃×#459	C₂²	1	2	yes	complemented
94	C₁₃×#452	C₂²	1	2	yes	—
95	C₁₃×#452	C₂²	1	2	yes	—
96	C₁₃×#452	C₂²	1	2	yes	complemented
97	C₁₃×#451	C₂²	1	2	yes	complemented
98	C₁₃×#449	C₂²	1	2	yes	—
99	C₁₃×#449	C₂²	1	2	yes	—
100	C₁₃×#449	C₂²	1	2	yes	complemented
101	C₁₃×#448	C₂²	1	2	yes	complemented
102	C₁₃×#441	C₂²	1	2	yes	complemented
103	C₁₃×#440	C₂²	1	2	yes	complemented
104	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	complemented
105	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	complemented
106	C₁₃×#435	C₂²	1	2	yes	complemented
107	C₁₃×#435	C₂²	1	2	yes	complemented
108	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
109	C₈×D₄×C₁₃	C₂²	1	2	yes	complemented
110	C₁₃×#428	C₂²	1	1	yes	characteristic
111	C₁₃×#428	C₂²	1	1	yes	characteristic
112	C₁₃×#427	C₂²	1	1	yes	characteristic
113	C₁₃×#424	C₂²	1	1	yes	characteristic
114	C₁₃×#419	C₂²	1	1	yes	characteristic
115	C₁₃×#419	C₂²	1	2	yes	complemented
116	C₁₃×#418	C₂²	1	1	yes	characteristic
117	C₁₃×#417	C₂²	1	1	yes	characteristic
118	C₁₃×#417	C₂²	1	1	yes	characteristic
119	C₁₃×#417	C₂²	1	2	yes	complemented
120	C₁₃×#416	C₂²	1	2	yes	—
121	C₁₃×#416	C₂²	1	2	yes	—
122	C₁₃×#416	C₂²	1	1	yes	characteristic
123	C₁₃×#416	C₂²	1	1	yes	characteristic
124	C₁₃×#416	C₂²	1	2	yes	—
125	C₁₃×#416	C₂²	1	2	yes	—
126	C₁₃×#416	C₂²	1	2	yes	complemented
127	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
128	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic
129	C₂×C₁₃×#103	C₂²	1	2	yes	complemented
130	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
131	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
132	C₁₃×#408	C₂²	1	1	yes	characteristic
133	C₁₃×#407	C₂²	1	1	yes	characteristic
134	C₁₃×#405	C₂²	1	1	yes	characteristic
135	C₁₃×2₋¹⁺⁴	—	2	4	no	—
136	C₁₃×2₋¹⁺⁴	—	4	2	no	—
137	C₂×C₁₃×#41	—	2	2	no	—
138	C₂×C₁₃×#41	—	2	1	no	—
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	—	2	4	no	—
142	C₂×C₁₃×#41	—	4	2	no	—
143	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
144	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
145	C₂×C₁₃×#41	C₂³	1	2	yes	—
146	C₂×C₁₃×#41	C₂³	1	2	yes	—
147	C₂×C₁₃×#41	C₂³	1	2	yes	—
148	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
149	C₂²×Q₈×C₁₃	—	2	1	no	—
150	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
151	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×D₄×C₁₃	—	2	1	no	—
153	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃	—	2	1	no	—
155	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
156	C₁₃×#137	—	2	4	no	—
157	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
158	C₁₃×#135	—	4	2	no	—
159	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
160	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
161	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
162	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
163	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
164	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
165	C₂×C₁₃×D₈	C₂³	1	2	yes	—
166	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
167	C₁₃×#131	—	4	2	no	—
168	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
169	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
170	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
171	C₂²×C₈×C₁₃	—	4	2	no	—
172	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
173	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
174	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
175	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
176	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
177	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
178	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
179	C₁₃×C₄⋊Q₈	—	2	1	no	—
180	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
181	C₁₃×#127	—	2	2	no	—
182	C₁₃×#127	—	2	2	no	—
183	C₁₃×#127	—	2	1	no	—
184	C₁₃×#127	C₂³	1	2	yes	—
185	C₁₃×#126	—	2	2	no	—
186	C₁₃×#126	—	2	2	no	—
187	C₁₃×#126	—	2	2	no	—
188	C₁₃×#126	—	2	2	no	—
189	C₁₃×#125	—	2	2	no	—
190	C₁₃×#125	—	2	1	no	—
191	C₁₃×#125	C₂³	1	2	yes	—
192	C₁₃×#124	—	2	1	no	—
193	C₁₃×#124	—	2	2	no	—
194	C₁₃×#124	—	2	2	no	—
195	C₁₃×#124	—	2	2	no	—
196	C₁₃×#124	—	2	2	no	—
197	C₁₃×#124	—	2	2	no	—
198	C₁₃×#124	C₂³	1	2	yes	—
199	C₁₃×#123	—	2	2	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	2	no	—
203	C₁₃×#123	D₄	1	2	yes	—
204	C₁₃×C₂²⋊Q₈	—	2	1	no	—
205	C₁₃×C₂²⋊Q₈	—	2	2	no	—
206	C₁₃×C₂²⋊Q₈	—	2	2	no	—
207	C₁₃×C₂²⋊Q₈	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
209	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
210	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
211	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
212	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
213	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
214	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
215	C₁₃×#121	—	2	2	no	—
216	C₁₃×#121	—	2	2	no	—
217	C₁₃×#121	—	2	2	no	—
218	C₁₃×#121	—	2	1	no	—
219	C₁₃×#121	—	2	2	no	—
220	C₁₃×#121	—	2	2	no	—
221	C₁₃×#121	—	2	1	no	—
222	C₁₃×#121	—	2	1	no	—
223	C₁₃×#121	—	2	2	no	—
224	C₁₃×#121	—	2	2	no	—
225	C₁₃×#121	—	2	2	no	—
226	C₁₃×#121	—	2	2	no	—
227	C₁₃×#121	D₄	1	1	yes	characteristic
228	C₁₃×#121	D₄	1	1	yes	characteristic
229	C₁₃×#121	C₂³	1	2	yes	—
230	C₁₃×#121	C₂³	1	1	yes	characteristic
231	C₁₃×#121	C₂³	1	1	yes	characteristic
232	C₁₃×#121	C₂³	1	1	yes	characteristic
233	C₁₃×#121	C₂³	1	1	yes	characteristic
234	C₁₃×#121	C₂³	1	2	yes	—
235	C₁₃×#121	C₂³	1	2	yes	—
236	C₁₃×#120	—	2	1	no	—
237	C₁₃×#120	—	2	1	no	—
238	C₁₃×#120	—	2	2	no	—
239	C₁₃×#120	—	2	2	no	—
240	C₁₃×#120	D₄	1	2	yes	—
241	C₄×Q₈×C₁₃	—	2	1	no	—
242	C₄×Q₈×C₁₃	—	2	1	no	—
243	C₄×Q₈×C₁₃	—	2	1	no	—
244	C₄×Q₈×C₁₃	—	2	2	no	—
245	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
246	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
247	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
248	C₄×D₄×C₁₃	—	2	2	no	—
249	C₄×D₄×C₁₃	—	2	1	no	—
250	C₄×D₄×C₁₃	—	2	1	no	—
251	C₄×D₄×C₁₃	—	2	1	no	—
252	C₄×D₄×C₁₃	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	—	2	2	no	—
255	C₄×D₄×C₁₃	—	2	2	no	—
256	C₄×D₄×C₁₃	—	2	2	no	—
257	C₄×D₄×C₁₃	—	2	2	no	—
258	C₄×D₄×C₁₃	—	2	2	no	—
259	C₄×D₄×C₁₃	—	2	2	no	—
260	C₄×D₄×C₁₃	C₂³	1	2	yes	—
261	C₄×D₄×C₁₃	C₂³	1	2	yes	—
262	C₄×D₄×C₁₃	C₂³	1	2	yes	—
263	C₁₃×#117	—	2	1	no	—
264	C₁₃×#117	—	2	1	no	—
265	C₁₃×#117	—	2	1	no	—
266	C₁₃×#117	—	2	2	no	—
267	C₁₃×#117	—	2	2	no	—
268	C₁₃×#117	—	2	2	no	—
269	C₁₃×#117	C₂³	1	2	yes	—
270	C₁₃×#117	C₂³	1	2	yes	—
271	C₁₃×#117	C₂³	1	1	yes	characteristic
272	C₁₃×#117	C₂³	1	1	yes	characteristic
273	C₁₃×#117	C₂³	1	2	yes	—
274	C₁₃×#117	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
276	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
279	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
280	C₂×C₄²×C₁₃	—	2	1	no	—
281	C₁₃×#107	C₂³	1	1	yes	characteristic
282	C₁₃×#107	C₂³	1	1	yes	characteristic
283	C₁₃×#107	C₂³	1	2	yes	—
284	C₁₃×#107	C₂³	1	2	yes	—
285	C₁₃×#106	C₂³	1	1	yes	characteristic
286	C₁₃×#106	C₂³	1	1	yes	characteristic
287	C₁₃×#106	C₂³	1	2	yes	—
288	C₁₃×#106	C₂³	1	2	yes	—
289	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
290	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
291	C₁₃×#103	C₂³	1	2	yes	—
292	C₁₃×#103	C₂³	1	2	yes	—
293	C₁₃×#103	C₂³	1	2	yes	—
294	C₁₃×#103	C₂³	1	2	yes	—
295	C₁₃×#103	C₂³	1	1	yes	characteristic
296	C₁₃×#103	C₂³	1	2	yes	—
297	C₁₃×#103	C₂³	1	2	yes	—
298	C₁₃×#103	C₂³	1	1	yes	characteristic
299	C₁₃×#103	C₂³	1	1	yes	characteristic
300	C₁₃×#103	C₂³	1	1	yes	characteristic
301	C₁₃×#103	C₂³	1	2	yes	—
302	C₁₃×#103	C₂³	1	2	yes	—
303	C₁₃×#102	C₂³	1	2	yes	—
304	C₁₃×#102	C₂³	1	2	yes	—
305	C₁₃×#102	C₂³	1	2	yes	—
306	C₁₃×#102	C₂³	1	2	yes	—
307	C₁₃×#102	C₂³	1	1	yes	characteristic
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	2	yes	—
312	C₁₃×#102	C₂³	1	2	yes	—
313	C₁₃×#102	C₂³	1	2	yes	—
314	C₁₃×#102	C₂³	1	2	yes	—
315	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
316	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
317	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
318	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
319	C₁₃×#97	C₂³	1	2	yes	—
320	C₄×C₈×C₁₃	C₂³	1	2	yes	—
321	#61170	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
322	C₂⁴×C₁₃	—	2	1	no	—
323	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
324	C₁₃×#41	—	2	2	no	—
325	C₁₃×#41	—	2	2	no	—
326	C₁₃×#41	—	2	4	no	—
327	C₁₃×#41	—	2	4	no	—
328	C₁₃×#41	—	2	4	no	—
329	C₁₃×#41	—	2	2	no	—
330	C₁₃×#41	—	2	2	no	—
331	C₁₃×#41	—	2	2	no	—
332	C₁₃×#41	—	2	2	no	—
333	C₁₃×#41	—	4	2	no	—
334	C₁₃×#41	—	4	2	no	—
335	C₁₃×#41	—	4	2	no	—
336	C₁₃×#41	—	4	8	no	—
337	C₁₃×#41	—	4	4	no	—
338	C₁₃×#41	—	4	4	no	—
339	C₁₃×#41	—	4	4	no	—
340	C₂×Q₈×C₁₃	—	2	1	no	—
341	C₂×Q₈×C₁₃	—	2	2	no	—
342	C₂×Q₈×C₁₃	—	2	2	no	—
343	C₂×Q₈×C₁₃	—	2	2	no	—
344	C₂×Q₈×C₁₃	—	2	4	no	—
345	C₂×Q₈×C₁₃	—	4	2	no	—
346	C₂×Q₈×C₁₃	—	4	4	no	—
347	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
348	C₂×Q₈×C₁₃	#41	1	4	yes	—
349	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
350	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
352	C₂×D₄×C₁₃	—	2	1	no	—
353	C₂×D₄×C₁₃	—	2	1	no	—
354	C₂×D₄×C₁₃	—	2	2	no	—
355	C₂×D₄×C₁₃	—	2	2	no	—
356	C₂×D₄×C₁₃	—	2	2	no	—
357	C₂×D₄×C₁₃	—	2	1	no	—
358	C₂×D₄×C₁₃	—	2	1	no	—
359	C₂×D₄×C₁₃	—	2	2	no	—
360	C₂×D₄×C₁₃	—	2	2	no	—
361	C₂×D₄×C₁₃	—	2	1	no	—
362	C₂×D₄×C₁₃	—	2	1	no	—
363	C₂×D₄×C₁₃	—	2	2	no	—
364	C₂×D₄×C₁₃	—	2	1	no	—
365	C₂×D₄×C₁₃	—	2	2	no	—
366	C₂×D₄×C₁₃	—	2	2	no	—
367	C₂×D₄×C₁₃	—	2	2	no	—
368	C₂×D₄×C₁₃	—	2	2	no	—
369	C₂×D₄×C₁₃	—	4	4	no	—
370	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
371	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
372	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
373	C₂×D₄×C₁₃	C₂×D₄	1	2	yes	—
374	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
375	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	—	2	1	no	—
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	2	2	no	—
380	C₂²×C₄×C₁₃	—	2	2	no	—
381	C₂²×C₄×C₁₃	—	2	1	no	—
382	C₂²×C₄×C₁₃	—	2	1	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	1	no	—
387	C₂²×C₄×C₁₃	—	2	2	no	—
388	C₂²×C₄×C₁₃	—	2	2	no	—
389	C₂²×C₄×C₁₃	—	2	2	no	—
390	C₂²×C₄×C₁₃	—	4	4	no	—
391	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₁₃×Q₁₆	—	2	4	no	—
399	C₁₃×Q₁₆	—	4	1	no	—
400	C₁₃×SD₁₆	—	2	4	no	—
401	C₁₃×SD₁₆	—	4	1	no	—
402	C₁₃×SD₁₆	—	4	1	no	—
403	C₁₃×SD₁₆	—	4	2	no	—
404	C₁₃×D₈	—	4	1	no	—
405	C₁₃×D₈	—	4	2	no	—
406	C₁₃×M₁₆	—	2	2	no	—
407	C₁₃×M₁₆	—	2	2	no	—
408	C₁₃×M₁₆	—	4	2	no	—
409	C₂×C₈×C₁₃	—	2	2	no	—
410	C₂×C₈×C₁₃	—	2	2	no	—
411	C₂×C₈×C₁₃	—	4	1	no	—
412	C₂×C₈×C₁₃	—	4	1	no	—
413	C₂×C₈×C₁₃	—	4	1	no	—
414	C₂×C₈×C₁₃	—	4	1	no	—
415	C₂×C₈×C₁₃	—	4	2	no	—
416	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
418	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
420	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
422	C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₁₃×C₄⋊C₄	—	2	2	no	—
424	C₁₃×C₄⋊C₄	—	2	1	no	—
425	C₁₃×C₄⋊C₄	—	2	2	no	—
426	C₁₃×C₄⋊C₄	—	2	1	no	—
427	C₁₃×C₄⋊C₄	—	2	2	no	—
428	C₁₃×C₄⋊C₄	—	2	2	no	—
429	C₁₃×C₄⋊C₄	—	2	2	no	—
430	C₁₃×C₄⋊C₄	—	2	2	no	—
431	C₁₃×C₄⋊C₄	—	2	1	no	—
432	C₁₃×C₄⋊C₄	—	2	1	no	—
433	C₁₃×C₄⋊C₄	—	2	1	no	—
434	C₁₃×C₄⋊C₄	—	2	2	no	—
435	C₁₃×C₄⋊C₄	—	2	2	no	—
436	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
437	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
438	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
439	C₁₃×C₄⋊C₄	C₂×D₄	1	2	yes	—
440	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
441	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
442	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
443	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
444	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
445	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
446	C₁₃×C₂²⋊C₄	—	2	2	no	—
447	C₁₃×C₂²⋊C₄	—	2	2	no	—
448	C₁₃×C₂²⋊C₄	—	2	1	no	—
449	C₁₃×C₂²⋊C₄	—	2	2	no	—
450	C₁₃×C₂²⋊C₄	—	2	1	no	—
451	C₁₃×C₂²⋊C₄	—	2	2	no	—
452	C₁₃×C₂²⋊C₄	—	2	1	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	1	no	—
460	C₁₃×C₂²⋊C₄	—	2	1	no	—
461	C₁₃×C₂²⋊C₄	—	2	1	no	—
462	C₁₃×C₂²⋊C₄	—	2	2	no	—
463	C₁₃×C₂²⋊C₄	—	2	2	no	—
464	C₁₃×C₂²⋊C₄	—	2	2	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
467	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
468	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
469	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
470	C₁₃×C₂²⋊C₄	C₂×D₄	1	2	yes	—
471	C₄²×C₁₃	—	2	2	no	—
472	C₄²×C₁₃	—	2	2	no	—
473	C₄²×C₁₃	—	2	2	no	—
474	C₄²×C₁₃	—	2	2	no	—
475	C₄²×C₁₃	—	2	2	no	—
476	C₄²×C₁₃	—	2	2	no	—
477	C₄²×C₁₃	—	2	1	no	—
478	C₄²×C₁₃	—	2	1	no	—
479	C₄²×C₁₃	C₂⁴	1	2	yes	—
480	#3493	C₂×C₁₃	1	1	yes	characteristic, complemented
481	#3487	C₂×C₁₃	1	1	yes	characteristic, complemented
482	#3321	C₂×C₁₃	1	2	yes	complemented
483	#3317	C₂×C₁₃	1	2	yes	complemented
484	#3313	C₂×C₁₃	1	2	yes	complemented
485	#3309	C₂×C₁₃	1	2	yes	complemented
486	#3305	C₂×C₁₃	1	2	yes	complemented
487	#3304	C₂×C₁₃	1	2	yes	complemented
488	#3301	C₂×C₁₃	1	2	yes	complemented
489	#3300	C₂×C₁₃	1	2	yes	complemented
490	#3136	C₂×C₁₃	1	1	yes	characteristic, complemented
491	#3096	C₂×C₁₃	1	1	yes	characteristic, complemented
492	#3093	C₂×C₁₃	1	1	yes	characteristic, complemented
493	#3082	C₂×C₁₃	1	1	yes	characteristic, complemented
494	#3062	C₂×C₁₃	1	1	yes	characteristic, complemented
495	#3050	C₂×C₁₃	1	1	yes	characteristic, complemented
496	#3045	C₂×C₁₃	1	1	yes	characteristic, complemented
497	#3013	C₂×C₁₃	1	1	yes	characteristic, complemented
498	#3005	C₂×C₁₃	1	1	yes	characteristic, complemented
499	#2947	C₂×C₁₃	1	1	yes	characteristic, complemented
500	#2929	C₂×C₁₃	1	1	yes	characteristic, complemented
501	#2898	C₂×C₁₃	1	1	yes	characteristic, complemented
502	C₂×#416	C₂×C₁₃	1	1	yes	characteristic, complemented
503	C₂³×C₁₃	—	2	2	no	—
504	C₂³×C₁₃	—	2	1	no	—
505	C₂³×C₁₃	—	2	2	no	—
506	C₂³×C₁₃	—	2	1	no	—
507	C₂³×C₁₃	—	4	1	no	—
508	C₂³×C₁₃	—	4	1	no	—
509	C₂³×C₁₃	—	4	2	no	—
510	C₂³×C₁₃	—	8	1	no	—
511	C₂³×C₁₃	—	8	1	no	—
512	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
513	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
514	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
515	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
516	Q₈×C₁₃	—	2	4	no	—
517	Q₈×C₁₃	—	2	2	no	—
518	Q₈×C₁₃	—	2	2	no	—
519	Q₈×C₁₃	—	2	1	no	—
520	Q₈×C₁₃	—	2	1	no	—
521	Q₈×C₁₃	—	2	1	no	—
522	Q₈×C₁₃	—	2	1	no	—
523	Q₈×C₁₃	—	4	4	no	—
524	Q₈×C₁₃	—	8	2	no	—
525	Q₈×C₁₃	C₂×#41	1	4	yes	—
526	D₄×C₁₃	—	2	4	no	—
527	D₄×C₁₃	—	2	2	no	—
528	D₄×C₁₃	—	2	1	no	—
529	D₄×C₁₃	—	2	2	no	—
530	D₄×C₁₃	—	2	1	no	—
531	D₄×C₁₃	—	2	1	no	—
532	D₄×C₁₃	—	2	2	no	—
533	D₄×C₁₃	—	2	1	no	—
534	D₄×C₁₃	—	4	2	no	—
535	D₄×C₁₃	—	4	2	no	—
536	D₄×C₁₃	—	4	4	no	—
537	D₄×C₁₃	—	4	4	no	—
538	D₄×C₁₃	—	4	4	no	—
539	D₄×C₁₃	—	4	2	no	—
540	D₄×C₁₃	—	4	2	no	—
541	D₄×C₁₃	—	4	2	no	—
542	D₄×C₁₃	—	8	2	no	—
543	D₄×C₁₃	—	8	2	no	—
544	D₄×C₁₃	—	8	1	no	—
545	D₄×C₁₃	—	8	2	no	—
546	D₄×C₁₃	—	8	2	no	—
547	D₄×C₁₃	—	8	2	no	—
548	D₄×C₁₃	—	8	1	no	—
549	D₄×C₁₃	—	8	1	no	—
550	D₄×C₁₃	—	8	1	no	—
551	C₂×C₄×C₁₃	—	2	2	no	—
552	C₂×C₄×C₁₃	—	2	4	no	—
553	C₂×C₄×C₁₃	—	2	2	no	—
554	C₂×C₄×C₁₃	—	2	2	no	—
555	C₂×C₄×C₁₃	—	2	2	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	2	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	2	no	—
562	C₂×C₄×C₁₃	—	2	2	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	2	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	4	4	no	—
571	C₂×C₄×C₁₃	—	4	4	no	—
572	C₂×C₄×C₁₃	—	4	4	no	—
573	C₂×C₄×C₁₃	—	4	4	no	—
574	C₂×C₄×C₁₃	—	4	2	no	—
575	C₂×C₄×C₁₃	—	4	2	no	—
576	C₂×C₄×C₁₃	—	8	2	no	—
577	C₂×C₄×C₁₃	—	8	1	no	—
578	C₂×C₄×C₁₃	—	8	2	no	—
579	C₂×C₄×C₁₃	—	8	1	no	—
580	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
581	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
582	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
583	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
584	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
585	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
586	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
587	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
588	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
589	C₈×C₁₃	—	2	2	no	—
590	C₈×C₁₃	—	2	1	no	—
591	C₈×C₁₃	—	2	1	no	—
592	C₈×C₁₃	—	2	1	no	—
593	C₈×C₁₃	—	2	1	no	—
594	C₈×C₁₃	—	2	2	no	—
595	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic
596	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
597	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic
598	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic
599	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic
600	C₂×#131	C₂²×C₁₃	1	1	yes	characteristic
601	C₂³×C₈	C₂²×C₁₃	1	1	yes	characteristic
602	#556	—	2	1	no	—
603	#556	C₂²×C₁₃	1	2	yes	complemented
604	#555	—	2	1	no	—
605	#555	C₂²×C₁₃	1	2	yes	complemented
606	#553	—	2	1	no	—
607	#553	C₂²×C₁₃	1	2	yes	complemented
608	#552	—	2	1	no	—
609	#552	C₂²×C₁₃	1	2	yes	complemented
610	#550	—	2	1	no	—
611	#550	—	2	1	no	—
612	#550	C₂²×C₁₃	1	2	yes	—
613	#550	C₂²×C₁₃	1	2	yes	—
614	#548	—	2	1	no	—
615	#548	—	2	1	no	—
616	#548	C₂²×C₁₃	1	2	yes	—
617	#548	C₂²×C₁₃	1	2	yes	—
618	#544	C₂²×C₁₃	1	1	yes	characteristic
619	#538	—	2	2	no	—
620	#537	C₂²×C₁₃	1	1	yes	characteristic
621	#535	—	2	2	no	—
622	#535	C₂²×C₁₃	1	1	yes	characteristic
623	#535	C₂²×C₁₃	1	1	yes	characteristic
624	#529	—	2	2	no	—
625	#525	—	2	2	no	—
626	#525	C₂²×C₁₃	1	1	yes	characteristic
627	#525	C₂²×C₁₃	1	1	yes	characteristic
628	#525	C₂²×C₁₃	1	1	yes	characteristic
629	#520	C₂²×C₁₃	1	1	yes	characteristic
630	#520	C₂²×C₁₃	1	1	yes	characteristic
631	#519	C₂²×C₁₃	1	1	yes	characteristic
632	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
633	#490	C₂²×C₁₃	1	2	yes	complemented
634	#489	C₂²×C₁₃	1	2	yes	complemented
635	#488	C₂²×C₁₃	1	2	yes	complemented
636	#486	C₂²×C₁₃	1	2	yes	complemented
637	#485	C₂²×C₁₃	1	2	yes	complemented
638	#485	C₂²×C₁₃	1	2	yes	complemented
639	#482	C₂²×C₁₃	1	2	yes	complemented
640	#482	C₂²×C₁₃	1	2	yes	complemented
641	#482	C₂²×C₁₃	1	2	yes	complemented
642	#482	C₂²×C₁₃	1	2	yes	complemented
643	#481	C₂²×C₁₃	1	2	yes	complemented
644	#480	C₂²×C₁₃	1	2	yes	complemented
645	#479	C₂²×C₁₃	1	2	yes	complemented
646	#479	C₂²×C₁₃	1	2	yes	complemented
647	#477	C₂²×C₁₃	1	2	yes	complemented
648	#475	C₂²×C₁₃	1	2	yes	complemented
649	#469	C₂²×C₁₃	1	2	yes	complemented
650	#468	C₂²×C₁₃	1	2	yes	complemented
651	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
653	#466	C₂²×C₁₃	1	2	yes	complemented
654	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
655	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	#465	C₂²×C₁₃	1	2	yes	complemented
657	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
658	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	#464	C₂²×C₁₃	1	2	yes	complemented
662	#463	C₂²×C₁₃	1	2	yes	complemented
663	#460	C₂²×C₁₃	1	2	yes	complemented
664	#459	C₂²×C₁₃	1	2	yes	complemented
665	#452	C₂²×C₁₃	1	2	yes	—
666	#452	C₂²×C₁₃	1	2	yes	—
667	#452	C₂²×C₁₃	1	2	yes	complemented
668	#451	C₂²×C₁₃	1	2	yes	complemented
669	#449	C₂²×C₁₃	1	2	yes	—
670	#449	C₂²×C₁₃	1	2	yes	—
671	#449	C₂²×C₁₃	1	2	yes	complemented
672	#448	C₂²×C₁₃	1	2	yes	complemented
673	#441	C₂²×C₁₃	1	2	yes	complemented
674	#440	C₂²×C₁₃	1	2	yes	complemented
675	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	complemented
676	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	complemented
677	#435	C₂²×C₁₃	1	2	yes	complemented
678	#435	C₂²×C₁₃	1	2	yes	complemented
679	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
680	C₈×D₄	C₂²×C₁₃	1	2	yes	complemented
681	#428	C₂²×C₁₃	1	1	yes	characteristic
682	#428	C₂²×C₁₃	1	1	yes	characteristic
683	#427	C₂²×C₁₃	1	1	yes	characteristic
684	#424	C₂²×C₁₃	1	1	yes	characteristic
685	#419	C₂²×C₁₃	1	1	yes	characteristic
686	#419	C₂²×C₁₃	1	2	yes	complemented
687	#418	C₂²×C₁₃	1	1	yes	characteristic
688	#417	C₂²×C₁₃	1	1	yes	characteristic
689	#417	C₂²×C₁₃	1	1	yes	characteristic
690	#417	C₂²×C₁₃	1	2	yes	complemented
691	#416	C₂²×C₁₃	1	1	yes	characteristic
692	#416	C₂²×C₁₃	1	2	yes	—
693	#416	C₂²×C₁₃	1	2	yes	—
694	#416	C₂²×C₁₃	1	2	yes	—
695	#416	C₂²×C₁₃	1	2	yes	—
696	#416	C₂²×C₁₃	1	1	yes	characteristic
697	#416	C₂²×C₁₃	1	2	yes	complemented
698	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
699	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic
700	C₂×#103	C₂²×C₁₃	1	2	yes	complemented
701	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
702	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
703	#408	C₂²×C₁₃	1	1	yes	characteristic
704	#407	C₂²×C₁₃	1	1	yes	characteristic
705	#405	C₂²×C₁₃	1	1	yes	characteristic
706	C₂²×C₁₃	—	2	1	no	—
707	C₂²×C₁₃	—	2	1	no	—
708	C₂²×C₁₃	—	2	2	no	—
709	C₂²×C₁₃	—	2	1	no	—
710	C₂²×C₁₃	—	2	1	no	—
711	C₂²×C₁₃	—	2	2	no	—
712	C₂²×C₁₃	—	2	1	no	—
713	C₂²×C₁₃	—	2	1	no	—
714	C₂²×C₁₃	—	2	1	no	—
715	C₂²×C₁₃	—	2	1	no	—
716	C₂²×C₁₃	—	2	2	no	—
717	C₂²×C₁₃	—	4	4	no	—
718	C₂²×C₁₃	—	4	1	no	—
719	C₂²×C₁₃	—	4	1	no	—
720	C₂²×C₁₃	—	4	1	no	—
721	C₂²×C₁₃	—	4	1	no	—
722	C₂²×C₁₃	—	4	2	no	—
723	C₂²×C₁₃	—	4	2	no	—
724	C₂²×C₁₃	—	4	1	no	—
725	C₂²×C₁₃	—	4	2	no	—
726	C₂²×C₁₃	—	4	1	no	—
727	C₂²×C₁₃	—	8	4	no	—
728	C₂²×C₁₃	#546	1	2	yes	—
729	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
730	C₄×C₁₃	—	2	2	no	—
731	C₄×C₁₃	—	2	2	no	—
732	C₄×C₁₃	—	2	1	no	—
733	C₄×C₁₃	—	2	1	no	—
734	C₄×C₁₃	—	2	4	no	—
735	C₄×C₁₃	—	2	2	no	—
736	C₄×C₁₃	—	4	2	no	—
737	C₄×C₁₃	—	4	1	no	—
738	C₄×C₁₃	—	4	2	no	—
739	C₄×C₁₃	—	4	1	no	—
740	C₄×C₁₃	—	4	1	no	—
741	C₄×C₁₃	—	4	1	no	—
742	C₄×C₁₃	—	4	1	no	—
743	C₄×C₁₃	—	4	1	no	—
744	C₄×C₁₃	#546	1	2	yes	—
745	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
746	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
747	2₋¹⁺⁴	—	2	4	no	—
748	2₋¹⁺⁴	—	4	2	no	—
749	C₂×#41	—	2	2	no	—
750	C₂×#41	—	2	1	no	—
751	C₂×#41	—	2	1	no	—
752	C₂×#41	—	2	1	no	—
753	C₂×#41	—	2	4	no	—
754	C₂×#41	—	4	2	no	—
755	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
756	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
757	C₂×#41	C₂³×C₁₃	1	2	yes	—
758	C₂×#41	C₂³×C₁₃	1	2	yes	—
759	C₂×#41	C₂³×C₁₃	1	2	yes	—
760	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
761	C₂²×Q₈	—	2	1	no	—
762	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
763	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
764	C₂²×D₄	—	2	1	no	—
765	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
766	C₂³×C₄	—	2	1	no	—
767	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
768	#137	—	2	4	no	—
769	AGL(1,ℤ/8)	—	4	2	no	—
770	#135	—	4	2	no	—
771	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
772	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
773	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
774	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
775	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
776	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
777	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
778	C₂×D₈	C₂³×C₁₃	1	2	yes	—
779	#131	—	4	2	no	—
780	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
781	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
782	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
783	C₂²×C₈	—	4	2	no	—
784	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
785	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
786	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
787	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
788	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
789	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
790	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
791	C₄⋊Q₈	—	2	1	no	—
792	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
793	#127	—	2	2	no	—
794	#127	—	2	2	no	—
795	#127	—	2	1	no	—
796	#127	C₂³×C₁₃	1	2	yes	—
797	#126	—	2	2	no	—
798	#126	—	2	2	no	—
799	#126	—	2	2	no	—
800	#126	—	2	2	no	—
801	#125	—	2	2	no	—
802	#125	—	2	1	no	—
803	#125	C₂³×C₁₃	1	2	yes	—
804	#124	—	2	1	no	—
805	#124	—	2	2	no	—
806	#124	—	2	2	no	—
807	#124	—	2	2	no	—
808	#124	—	2	2	no	—
809	#124	—	2	2	no	—
810	#124	C₂³×C₁₃	1	2	yes	—
811	#123	—	2	2	no	—
812	#123	—	2	1	no	—
813	#123	—	2	1	no	—
814	#123	—	2	2	no	—
815	#123	D₄×C₁₃	1	2	yes	—
816	C₂²⋊Q₈	—	2	1	no	—
817	C₂²⋊Q₈	—	2	2	no	—
818	C₂²⋊Q₈	—	2	2	no	—
819	C₂²⋊Q₈	—	2	2	no	—
820	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
821	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
822	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
823	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
824	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
825	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
826	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
827	#121	—	2	2	no	—
828	#121	—	2	2	no	—
829	#121	—	2	2	no	—
830	#121	—	2	1	no	—
831	#121	—	2	2	no	—
832	#121	—	2	2	no	—
833	#121	—	2	1	no	—
834	#121	—	2	1	no	—
835	#121	—	2	2	no	—
836	#121	—	2	2	no	—
837	#121	—	2	2	no	—
838	#121	—	2	2	no	—
839	#121	D₄×C₁₃	1	1	yes	characteristic
840	#121	D₄×C₁₃	1	1	yes	characteristic
841	#121	C₂³×C₁₃	1	1	yes	characteristic
842	#121	C₂³×C₁₃	1	1	yes	characteristic
843	#121	C₂³×C₁₃	1	1	yes	characteristic
844	#121	C₂³×C₁₃	1	1	yes	characteristic
845	#121	C₂³×C₁₃	1	2	yes	—
846	#121	C₂³×C₁₃	1	2	yes	—
847	#121	C₂³×C₁₃	1	2	yes	—
848	#120	—	2	1	no	—
849	#120	—	2	1	no	—
850	#120	—	2	2	no	—
851	#120	—	2	2	no	—
852	#120	D₄×C₁₃	1	2	yes	—
853	C₄×Q₈	—	2	1	no	—
854	C₄×Q₈	—	2	1	no	—
855	C₄×Q₈	—	2	1	no	—
856	C₄×Q₈	—	2	2	no	—
857	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
858	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
859	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
860	C₄×D₄	—	2	2	no	—
861	C₄×D₄	—	2	1	no	—
862	C₄×D₄	—	2	1	no	—
863	C₄×D₄	—	2	1	no	—
864	C₄×D₄	—	2	1	no	—
865	C₄×D₄	—	2	1	no	—
866	C₄×D₄	—	2	2	no	—
867	C₄×D₄	—	2	2	no	—
868	C₄×D₄	—	2	2	no	—
869	C₄×D₄	—	2	2	no	—
870	C₄×D₄	—	2	2	no	—
871	C₄×D₄	—	2	2	no	—
872	C₄×D₄	C₂³×C₁₃	1	2	yes	—
873	C₄×D₄	C₂³×C₁₃	1	2	yes	—
874	C₄×D₄	C₂³×C₁₃	1	2	yes	—
875	#117	—	2	1	no	—
876	#117	—	2	1	no	—
877	#117	—	2	1	no	—
878	#117	—	2	2	no	—
879	#117	—	2	2	no	—
880	#117	—	2	2	no	—
881	#117	C₂³×C₁₃	1	2	yes	—
882	#117	C₂³×C₁₃	1	2	yes	—
883	#117	C₂³×C₁₃	1	1	yes	characteristic
884	#117	C₂³×C₁₃	1	1	yes	characteristic
885	#117	C₂³×C₁₃	1	2	yes	—
886	#117	C₂³×C₁₃	1	1	yes	characteristic
887	C₂×C₄⋊C₄	—	2	1	no	—
888	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
889	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
890	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
891	C₂×C₂²⋊C₄	—	2	1	no	—
892	C₂×C₄²	—	2	1	no	—
893	#107	C₂³×C₁₃	1	1	yes	characteristic
894	#107	C₂³×C₁₃	1	1	yes	characteristic
895	#107	C₂³×C₁₃	1	2	yes	—
896	#107	C₂³×C₁₃	1	2	yes	—
897	#106	C₂³×C₁₃	1	1	yes	characteristic
898	#106	C₂³×C₁₃	1	1	yes	characteristic
899	#106	C₂³×C₁₃	1	2	yes	—
900	#106	C₂³×C₁₃	1	2	yes	—
901	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
902	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
903	#103	C₂³×C₁₃	1	2	yes	—
904	#103	C₂³×C₁₃	1	2	yes	—
905	#103	C₂³×C₁₃	1	2	yes	—
906	#103	C₂³×C₁₃	1	2	yes	—
907	#103	C₂³×C₁₃	1	1	yes	characteristic
908	#103	C₂³×C₁₃	1	2	yes	—
909	#103	C₂³×C₁₃	1	2	yes	—
910	#103	C₂³×C₁₃	1	1	yes	characteristic
911	#103	C₂³×C₁₃	1	1	yes	characteristic
912	#103	C₂³×C₁₃	1	1	yes	characteristic
913	#103	C₂³×C₁₃	1	2	yes	—
914	#103	C₂³×C₁₃	1	2	yes	—
915	#102	C₂³×C₁₃	1	2	yes	—
916	#102	C₂³×C₁₃	1	2	yes	—
917	#102	C₂³×C₁₃	1	2	yes	—
918	#102	C₂³×C₁₃	1	2	yes	—
919	#102	C₂³×C₁₃	1	1	yes	characteristic
920	#102	C₂³×C₁₃	1	1	yes	characteristic
921	#102	C₂³×C₁₃	1	1	yes	characteristic
922	#102	C₂³×C₁₃	1	1	yes	characteristic
923	#102	C₂³×C₁₃	1	2	yes	—
924	#102	C₂³×C₁₃	1	2	yes	—
925	#102	C₂³×C₁₃	1	2	yes	—
926	#102	C₂³×C₁₃	1	2	yes	—
927	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
928	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
929	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
930	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
931	#97	C₂³×C₁₃	1	2	yes	—
932	C₄×C₈	C₂³×C₁₃	1	2	yes	—
933	C₂×C₁₃	—	2	2	no	—
934	C₂×C₁₃	—	4	2	no	—
935	C₂×C₁₃	—	4	1	no	—
936	C₂×C₁₃	—	4	1	no	—
937	C₂×C₁₃	—	8	1	no	—
938	C₂×C₁₃	—	8	1	no	—
939	C₂×C₁₃	—	8	2	no	—
940	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
941	C₂×C₁₃	#3584	1	1	yes	characteristic
942	C₂×C₁₃	#3584	1	1	yes	characteristic
943	C₂⁴	—	2	1	no	—
944	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
945	#41	—	2	2	no	—
946	#41	—	2	2	no	—
947	#41	—	2	4	no	—
948	#41	—	2	4	no	—
949	#41	—	2	4	no	—
950	#41	—	2	2	no	—
951	#41	—	2	2	no	—
952	#41	—	2	2	no	—
953	#41	—	2	2	no	—
954	#41	—	4	2	no	—
955	#41	—	4	2	no	—
956	#41	—	4	2	no	—
957	#41	—	4	8	no	—
958	#41	—	4	4	no	—
959	#41	—	4	4	no	—
960	#41	—	4	4	no	—
961	C₂×Q₈	—	2	1	no	—
962	C₂×Q₈	—	2	2	no	—
963	C₂×Q₈	—	2	2	no	—
964	C₂×Q₈	—	2	2	no	—
965	C₂×Q₈	—	2	4	no	—
966	C₂×Q₈	—	4	2	no	—
967	C₂×Q₈	—	4	4	no	—
968	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
969	C₂×Q₈	C₁₃×#41	1	4	yes	—
970	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
971	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
972	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
973	C₂×D₄	—	2	1	no	—
974	C₂×D₄	—	2	1	no	—
975	C₂×D₄	—	2	2	no	—
976	C₂×D₄	—	2	2	no	—
977	C₂×D₄	—	2	2	no	—
978	C₂×D₄	—	2	1	no	—
979	C₂×D₄	—	2	1	no	—
980	C₂×D₄	—	2	2	no	—
981	C₂×D₄	—	2	2	no	—
982	C₂×D₄	—	2	1	no	—
983	C₂×D₄	—	2	1	no	—
984	C₂×D₄	—	2	2	no	—
985	C₂×D₄	—	2	1	no	—
986	C₂×D₄	—	2	2	no	—
987	C₂×D₄	—	2	2	no	—
988	C₂×D₄	—	2	2	no	—
989	C₂×D₄	—	2	2	no	—
990	C₂×D₄	—	4	4	no	—
991	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
992	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
993	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
994	C₂×D₄	C₂×D₄×C₁₃	1	2	yes	—
995	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
996	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
997	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
998	C₂²×C₄	—	2	1	no	—
999	C₂²×C₄	—	2	2	no	—
1000	C₂²×C₄	—	2	2	no	—
1001	C₂²×C₄	—	2	2	no	—
1002	C₂²×C₄	—	2	1	no	—
1003	C₂²×C₄	—	2	1	no	—
1004	C₂²×C₄	—	2	2	no	—
1005	C₂²×C₄	—	2	1	no	—
1006	C₂²×C₄	—	2	2	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	—	4	4	no	—
1012	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1013	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1014	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1015	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1016	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1017	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1018	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1019	Q₁₆	—	2	4	no	—
1020	Q₁₆	—	4	1	no	—
1021	SD₁₆	—	2	4	no	—
1022	SD₁₆	—	4	1	no	—
1023	SD₁₆	—	4	1	no	—
1024	SD₁₆	—	4	2	no	—
1025	D₈	—	4	1	no	—
1026	D₈	—	4	2	no	—
1027	M₁₆	—	2	2	no	—
1028	M₁₆	—	2	2	no	—
1029	M₁₆	—	4	2	no	—
1030	C₂×C₈	—	2	2	no	—
1031	C₂×C₈	—	2	2	no	—
1032	C₂×C₈	—	4	1	no	—
1033	C₂×C₈	—	4	1	no	—
1034	C₂×C₈	—	4	1	no	—
1035	C₂×C₈	—	4	1	no	—
1036	C₂×C₈	—	4	2	no	—
1037	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1038	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1039	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1040	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1041	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1042	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1043	C₄⋊C₄	—	2	1	no	—
1044	C₄⋊C₄	—	2	2	no	—
1045	C₄⋊C₄	—	2	1	no	—
1046	C₄⋊C₄	—	2	2	no	—
1047	C₄⋊C₄	—	2	1	no	—
1048	C₄⋊C₄	—	2	2	no	—
1049	C₄⋊C₄	—	2	2	no	—
1050	C₄⋊C₄	—	2	2	no	—
1051	C₄⋊C₄	—	2	2	no	—
1052	C₄⋊C₄	—	2	1	no	—
1053	C₄⋊C₄	—	2	1	no	—
1054	C₄⋊C₄	—	2	1	no	—
1055	C₄⋊C₄	—	2	2	no	—
1056	C₄⋊C₄	—	2	2	no	—
1057	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1058	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1059	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1060	C₄⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1061	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1062	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1063	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1064	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1065	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1066	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1072	C₂²⋊C₄	—	2	2	no	—
1073	C₂²⋊C₄	—	2	1	no	—
1074	C₂²⋊C₄	—	2	1	no	—
1075	C₂²⋊C₄	—	2	1	no	—
1076	C₂²⋊C₄	—	2	1	no	—
1077	C₂²⋊C₄	—	2	1	no	—
1078	C₂²⋊C₄	—	2	2	no	—
1079	C₂²⋊C₄	—	2	2	no	—
1080	C₂²⋊C₄	—	2	1	no	—
1081	C₂²⋊C₄	—	2	1	no	—
1082	C₂²⋊C₄	—	2	1	no	—
1083	C₂²⋊C₄	—	2	2	no	—
1084	C₂²⋊C₄	—	2	2	no	—
1085	C₂²⋊C₄	—	2	2	no	—
1086	C₂²⋊C₄	—	2	2	no	—
1087	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1088	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1089	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1090	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1091	C₂²⋊C₄	C₂×D₄×C₁₃	1	2	yes	—
1092	C₄²	—	2	2	no	—
1093	C₄²	—	2	2	no	—
1094	C₄²	—	2	2	no	—
1095	C₄²	—	2	2	no	—
1096	C₄²	—	2	2	no	—
1097	C₄²	—	2	2	no	—
1098	C₄²	—	2	1	no	—
1099	C₄²	—	2	1	no	—
1100	C₄²	C₂⁴×C₁₃	1	2	yes	—
1101	C₁₃	#61170	1	1	yes	characteristic, direct product factor, Sylow
1102	C₂³	—	2	2	no	—
1103	C₂³	—	2	1	no	—
1104	C₂³	—	2	2	no	—
1105	C₂³	—	2	1	no	—
1106	C₂³	—	4	1	no	—
1107	C₂³	—	4	1	no	—
1108	C₂³	—	4	2	no	—
1109	C₂³	—	8	1	no	—
1110	C₂³	—	8	1	no	—
1111	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1112	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1113	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1114	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1115	Q₈	—	2	4	no	—
1116	Q₈	—	2	2	no	—
1117	Q₈	—	2	2	no	—
1118	Q₈	—	2	1	no	—
1119	Q₈	—	2	1	no	—
1120	Q₈	—	2	1	no	—
1121	Q₈	—	2	1	no	—
1122	Q₈	—	4	4	no	—
1123	Q₈	—	8	2	no	—
1124	Q₈	C₂×C₁₃×#41	1	4	yes	—
1125	D₄	—	2	4	no	—
1126	D₄	—	2	2	no	—
1127	D₄	—	2	1	no	—
1128	D₄	—	2	2	no	—
1129	D₄	—	2	1	no	—
1130	D₄	—	2	1	no	—
1131	D₄	—	2	2	no	—
1132	D₄	—	2	1	no	—
1133	D₄	—	4	2	no	—
1134	D₄	—	4	2	no	—
1135	D₄	—	4	4	no	—
1136	D₄	—	4	4	no	—
1137	D₄	—	4	4	no	—
1138	D₄	—	4	2	no	—
1139	D₄	—	4	2	no	—
1140	D₄	—	4	2	no	—
1141	D₄	—	8	2	no	—
1142	D₄	—	8	2	no	—
1143	D₄	—	8	1	no	—
1144	D₄	—	8	2	no	—
1145	D₄	—	8	2	no	—
1146	D₄	—	8	2	no	—
1147	D₄	—	8	1	no	—
1148	D₄	—	8	1	no	—
1149	D₄	—	8	1	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	4	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	2	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	2	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	2	no	—
1161	C₂×C₄	—	2	2	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	4	4	no	—
1170	C₂×C₄	—	4	4	no	—
1171	C₂×C₄	—	4	4	no	—
1172	C₂×C₄	—	4	4	no	—
1173	C₂×C₄	—	4	2	no	—
1174	C₂×C₄	—	4	2	no	—
1175	C₂×C₄	—	8	2	no	—
1176	C₂×C₄	—	8	1	no	—
1177	C₂×C₄	—	8	2	no	—
1178	C₂×C₄	—	8	1	no	—
1179	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1180	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1181	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1182	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1183	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1184	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1185	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1186	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1187	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1188	C₈	—	2	2	no	—
1189	C₈	—	2	1	no	—
1190	C₈	—	2	1	no	—
1191	C₈	—	2	1	no	—
1192	C₈	—	2	1	no	—
1193	C₈	—	2	2	no	—
1194	C₂²	—	2	1	no	—
1195	C₂²	—	2	1	no	—
1196	C₂²	—	2	2	no	—
1197	C₂²	—	2	1	no	—
1198	C₂²	—	2	1	no	—
1199	C₂²	—	2	2	no	—
1200	C₂²	—	2	1	no	—
1201	C₂²	—	2	1	no	—
1202	C₂²	—	2	1	no	—
1203	C₂²	—	2	1	no	—
1204	C₂²	—	2	2	no	—
1205	C₂²	—	4	4	no	—
1206	C₂²	—	4	1	no	—
1207	C₂²	—	4	1	no	—
1208	C₂²	—	4	1	no	—
1209	C₂²	—	4	1	no	—
1210	C₂²	—	4	2	no	—
1211	C₂²	—	4	2	no	—
1212	C₂²	—	4	1	no	—
1213	C₂²	—	4	2	no	—
1214	C₂²	—	4	1	no	—
1215	C₂²	—	8	4	no	—
1216	C₂²	C₁₃×#546	1	2	yes	—
1217	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1218	C₄	—	2	2	no	—
1219	C₄	—	2	2	no	—
1220	C₄	—	2	1	no	—
1221	C₄	—	2	1	no	—
1222	C₄	—	2	4	no	—
1223	C₄	—	2	2	no	—
1224	C₄	—	4	2	no	—
1225	C₄	—	4	1	no	—
1226	C₄	—	4	2	no	—
1227	C₄	—	4	1	no	—
1228	C₄	—	4	1	no	—
1229	C₄	—	4	1	no	—
1230	C₄	—	4	1	no	—
1231	C₄	—	4	1	no	—
1232	C₄	C₁₃×#546	1	2	yes	—
1233	C₄	C₂²×C₁₃×#41	1	1	yes	characteristic
1234	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1235	C₂	—	2	2	no	—
1236	C₂	—	4	1	no	—
1237	C₂	—	4	1	no	—
1238	C₂	—	4	2	no	—
1239	C₂	—	8	2	no	—
1240	C₂	—	8	1	no	—
1241	C₂	—	8	1	no	—
1242	C₂	C₂×C₁₃×#546	1	1	yes	characteristic
1243	C₂	C₁₃×#3584	1	1	yes	characteristic
1244	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3493	C₂	semidirect
2. C₁₃×#3487	C₂	semidirect
3. C₁₃×#3321	C₂	semidirect
4. C₁₃×#3317	C₂	semidirect
5. C₁₃×#3313	C₂	semidirect
6. C₁₃×#3309	C₂	semidirect
7. C₁₃×#3305	C₂	semidirect
8. C₁₃×#3304	C₂	semidirect
9. C₁₃×#3301	C₂	semidirect
10. C₁₃×#3300	C₂	semidirect
11. C₁₃×#3136	C₂	semidirect
12. C₁₃×#3096	C₂	semidirect
13. C₁₃×#3093	C₂	semidirect
14. C₁₃×#3082	C₂	semidirect
15. C₁₃×#3062	C₂	semidirect
16. C₁₃×#3050	C₂	semidirect
17. C₁₃×#3045	C₂	semidirect
18. C₁₃×#3013	C₂	semidirect
19. C₁₃×#3005	C₂	semidirect
20. C₁₃×#2947	C₂	semidirect
21. C₁₃×#2929	C₂	semidirect
22. C₁₃×#2898	C₂	semidirect
23. C₂×C₁₃×#416	C₂	semidirect
32. C₁₃×#556	C₂²	semidirect
34. C₁₃×#555	C₂²	semidirect
36. C₁₃×#553	C₂²	semidirect
38. C₁₃×#552	C₂²	semidirect
62. C₁₃×#490	C₂²	semidirect
63. C₁₃×#489	C₂²	semidirect
64. C₁₃×#488	C₂²	semidirect
65. C₁₃×#486	C₂²	semidirect
66. C₁₃×#485	C₂²	semidirect
67. C₁₃×#485	C₂²	semidirect
68. C₁₃×#482	C₂²	semidirect
69. C₁₃×#482	C₂²	semidirect
70. C₁₃×#482	C₂²	semidirect
71. C₁₃×#482	C₂²	semidirect
72. C₁₃×#481	C₂²	semidirect
73. C₁₃×#480	C₂²	semidirect
74. C₁₃×#479	C₂²	semidirect
75. C₁₃×#479	C₂²	semidirect
76. C₁₃×#477	C₂²	semidirect
77. C₁₃×#475	C₂²	semidirect
78. C₁₃×#469	C₂²	semidirect
79. C₁₃×#468	C₂²	semidirect
80. C₁₃×#467	C₂²	semidirect
81. C₁₃×#467	C₂²	semidirect
82. C₁₃×#466	C₂²	semidirect
83. C₁₃×#466	C₂²	semidirect
84. C₁₃×#466	C₂²	semidirect
85. C₁₃×#465	C₂²	semidirect
86. C₁₃×#465	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#465	C₂²	semidirect
89. C₁₃×#465	C₂²	semidirect
90. C₁₃×#464	C₂²	semidirect
91. C₁₃×#463	C₂²	semidirect
92. C₁₃×#460	C₂²	semidirect
93. C₁₃×#459	C₂²	semidirect
96. C₁₃×#452	C₂²	semidirect
97. C₁₃×#451	C₂²	semidirect
100. C₁₃×#449	C₂²	semidirect
101. C₁₃×#448	C₂²	semidirect
102. C₁₃×#441	C₂²	semidirect
103. C₁₃×#440	C₂²	semidirect
104. C₄×C₁₃×Q₁₆	C₂²	semidirect
105. C₄×C₁₃×SD₁₆	C₂²	semidirect
106. C₁₃×#435	C₂²	semidirect
107. C₁₃×#435	C₂²	semidirect
108. C₈×D₄×C₁₃	C₂²	semidirect
109. C₈×D₄×C₁₃	C₂²	semidirect
115. C₁₃×#419	C₂²	semidirect
119. C₁₃×#417	C₂²	semidirect
126. C₁₃×#416	C₂²	semidirect
129. C₂×C₁₃×#103	C₂²	semidirect
321. #61170	C₁₃	direct (N × H)
480. #3493	C₂×C₁₃	semidirect
481. #3487	C₂×C₁₃	semidirect
482. #3321	C₂×C₁₃	semidirect
483. #3317	C₂×C₁₃	semidirect
484. #3313	C₂×C₁₃	semidirect
485. #3309	C₂×C₁₃	semidirect
486. #3305	C₂×C₁₃	semidirect
487. #3304	C₂×C₁₃	semidirect
488. #3301	C₂×C₁₃	semidirect
489. #3300	C₂×C₁₃	semidirect
490. #3136	C₂×C₁₃	semidirect
491. #3096	C₂×C₁₃	semidirect
492. #3093	C₂×C₁₃	semidirect
493. #3082	C₂×C₁₃	semidirect
494. #3062	C₂×C₁₃	semidirect
495. #3050	C₂×C₁₃	semidirect
496. #3045	C₂×C₁₃	semidirect
497. #3013	C₂×C₁₃	semidirect
498. #3005	C₂×C₁₃	semidirect
499. #2947	C₂×C₁₃	semidirect
500. #2929	C₂×C₁₃	semidirect
501. #2898	C₂×C₁₃	semidirect
502. C₂×#416	C₂×C₁₃	semidirect
603. #556	C₂²×C₁₃	semidirect
605. #555	C₂²×C₁₃	semidirect
607. #553	C₂²×C₁₃	semidirect
609. #552	C₂²×C₁₃	semidirect
633. #490	C₂²×C₁₃	semidirect
634. #489	C₂²×C₁₃	semidirect
635. #488	C₂²×C₁₃	semidirect
636. #486	C₂²×C₁₃	semidirect
637. #485	C₂²×C₁₃	semidirect
638. #485	C₂²×C₁₃	semidirect
639. #482	C₂²×C₁₃	semidirect
640. #482	C₂²×C₁₃	semidirect
641. #482	C₂²×C₁₃	semidirect
642. #482	C₂²×C₁₃	semidirect
643. #481	C₂²×C₁₃	semidirect
644. #480	C₂²×C₁₃	semidirect
645. #479	C₂²×C₁₃	semidirect
646. #479	C₂²×C₁₃	semidirect
647. #477	C₂²×C₁₃	semidirect
648. #475	C₂²×C₁₃	semidirect
649. #469	C₂²×C₁₃	semidirect
650. #468	C₂²×C₁₃	semidirect
651. #467	C₂²×C₁₃	semidirect
652. #467	C₂²×C₁₃	semidirect
653. #466	C₂²×C₁₃	semidirect
654. #466	C₂²×C₁₃	semidirect
655. #466	C₂²×C₁₃	semidirect
656. #465	C₂²×C₁₃	semidirect
657. #465	C₂²×C₁₃	semidirect
658. #465	C₂²×C₁₃	semidirect
659. #465	C₂²×C₁₃	semidirect
660. #465	C₂²×C₁₃	semidirect
661. #464	C₂²×C₁₃	semidirect
662. #463	C₂²×C₁₃	semidirect
663. #460	C₂²×C₁₃	semidirect
664. #459	C₂²×C₁₃	semidirect
667. #452	C₂²×C₁₃	semidirect
668. #451	C₂²×C₁₃	semidirect
671. #449	C₂²×C₁₃	semidirect
672. #448	C₂²×C₁₃	semidirect
673. #441	C₂²×C₁₃	semidirect
674. #440	C₂²×C₁₃	semidirect
675. C₄×Q₁₆	C₂²×C₁₃	semidirect
676. C₄×SD₁₆	C₂²×C₁₃	semidirect
677. #435	C₂²×C₁₃	semidirect
678. #435	C₂²×C₁₃	semidirect
679. C₈×D₄	C₂²×C₁₃	semidirect
680. C₈×D₄	C₂²×C₁₃	semidirect
686. #419	C₂²×C₁₃	semidirect
690. #417	C₂²×C₁₃	semidirect
697. #416	C₂²×C₁₃	semidirect
700. C₂×#103	C₂²×C₁₃	semidirect
1101. C₁₃	#61170	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×#3493	2
C₁₃×#3487	2
C₁₃×#3321	2
C₁₃×#3317	2
C₁₃×#3313	2
C₁₃×#3309	2
C₁₃×#3305	2
C₁₃×#3304	2
C₁₃×#3301	2
C₁₃×#3300	2
C₁₃×#3136	2
C₁₃×#3096	2
C₁₃×#3093	2
C₁₃×#3082	2
C₁₃×#3062	2
C₁₃×#3050	2
C₁₃×#3045	2
C₁₃×#3013	2
C₁₃×#3005	2
C₁₃×#2947	2
C₁₃×#2929	2
C₁₃×#2898	2
C₂×C₁₃×#416	2
#61170	13

Subgroups — C13×#61170 #15747509

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61170 #15747509