Subgroups — C₁₃×#62579 #15748918

Order 3328.

1728 conjugacy classes of subgroups.

The subgroup lattice has 1242 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3515	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3377	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3376	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3316	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3315	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3308	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3307	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×#3237	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3236	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3234	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3218	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3181	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3180	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3172	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3142	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3135	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#491	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2970	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#557	C₂²	1	1	yes	characteristic
25	C₁₃×#556	C₂²	1	2	yes	—
26	C₁₃×#555	—	2	1	no	—
27	C₁₃×#554	—	2	1	no	—
28	C₁₃×#554	C₂²	1	1	yes	characteristic
29	C₁₃×#554	C₂²	1	1	yes	characteristic
30	C₁₃×#553	—	2	1	no	—
31	C₁₃×#553	—	2	1	no	—
32	C₁₃×#553	C₂²	1	1	yes	characteristic
33	C₁₃×#553	C₂²	1	1	yes	characteristic
34	C₁₃×#552	—	2	1	no	—
35	C₁₃×#552	—	2	1	no	—
36	C₁₃×#552	—	2	1	no	—
37	C₁₃×#552	C₂²	1	1	yes	characteristic
38	C₁₃×#552	C₂²	1	1	yes	characteristic
39	C₁₃×#548	C₂²	1	2	yes	—
40	C₁₃×#548	C₂²	1	2	yes	—
41	C₁₃×#547	—	2	1	no	—
42	C₁₃×#547	C₂²	1	2	yes	—
43	C₁₃×#547	C₂²	1	1	yes	characteristic
44	C₁₃×#542	—	2	1	no	—
45	C₁₃×#542	—	2	1	no	—
46	C₁₃×#541	—	2	1	no	—
47	C₁₃×#539	—	2	1	no	—
48	C₁₃×#539	—	2	1	no	—
49	C₁₃×#537	—	2	1	no	—
50	C₁₃×#533	C₂²	1	1	yes	characteristic
51	C₁₃×#533	C₂²	1	1	yes	characteristic
52	C₁₃×#533	C₂²	1	1	yes	characteristic
53	C₁₃×#532	C₂²	1	1	yes	characteristic
54	C₁₃×#532	C₂²	1	1	yes	characteristic
55	C₁₃×#532	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
57	C₁₃×#529	C₂²	1	1	yes	characteristic
58	C₁₃×#529	C₂²	1	1	yes	characteristic
59	C₁₃×#529	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
62	C₁₃×#520	—	2	1	no	—
63	C₁₃×#520	—	2	1	no	—
64	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
65	C₁₃×#501	C₂²	1	1	yes	characteristic
66	C₁₃×#501	C₂²	1	1	yes	characteristic
67	C₁₃×#501	C₂²	1	1	yes	characteristic
68	C₁₃×#497	C₂²	1	1	yes	characteristic
69	C₁₃×#497	C₂²	1	1	yes	characteristic
70	C₁₃×#496	C₂²	1	1	yes	characteristic
71	C₁₃×#491	C₂²	1	2	yes	—
72	C₁₃×#491	C₂²	1	2	yes	—
73	C₁₃×#491	C₂²	1	1	yes	characteristic
74	C₁₃×#491	C₂²	1	1	yes	characteristic
75	C₁₃×#491	C₂²	1	1	yes	characteristic
76	C₁₃×#491	C₂²	1	1	yes	characteristic
77	C₁₃×#491	C₂²	1	1	yes	characteristic
78	C₁₃×#491	C₂²	1	1	yes	characteristic
79	C₁₃×#490	C₂²	1	1	yes	characteristic
80	C₁₃×#490	C₂²	1	1	yes	characteristic
81	C₁₃×#490	C₂²	1	1	yes	characteristic
82	C₁₃×#489	C₂²	1	2	yes	—
83	C₁₃×#489	C₂²	1	2	yes	—
84	C₁₃×#489	C₂²	1	1	yes	characteristic
85	C₁₃×#488	C₂²	1	2	yes	—
86	C₁₃×#488	C₂²	1	2	yes	—
87	C₁₃×#485	C₂²	1	2	yes	—
88	C₁₃×#485	C₂²	1	2	yes	—
89	C₁₃×#484	C₂²	1	2	yes	—
90	C₁₃×#483	C₂²	1	2	yes	—
91	C₁₃×#481	C₂²	1	2	yes	—
92	C₁₃×#480	C₂²	1	2	yes	—
93	C₁₃×#479	C₂²	1	2	yes	—
94	C₁₃×#479	C₂²	1	2	yes	—
95	C₁₃×#478	C₂²	1	2	yes	—
96	C₁₃×#478	C₂²	1	2	yes	—
97	C₁₃×#477	C₂²	1	2	yes	—
98	C₁₃×#475	C₂²	1	2	yes	—
99	C₁₃×#470	C₂²	1	2	yes	—
100	C₁₃×#468	C₂²	1	2	yes	—
101	C₁₃×#467	C₂²	1	2	yes	—
102	C₁₃×#466	C₂²	1	2	yes	—
103	C₁₃×#465	C₂²	1	2	yes	—
104	C₁₃×#465	C₂²	1	2	yes	—
105	C₁₃×#464	C₂²	1	2	yes	—
106	C₁₃×#464	C₂²	1	2	yes	—
107	C₁₃×#463	C₂²	1	2	yes	—
108	C₁₃×#463	C₂²	1	2	yes	—
109	C₁₃×#462	C₂²	1	2	yes	—
110	C₁₃×#461	C₂²	1	2	yes	—
111	C₁₃×#452	C₂²	1	2	yes	—
112	C₁₃×#452	C₂²	1	2	yes	—
113	C₁₃×#451	C₂²	1	2	yes	—
114	C₁₃×#449	C₂²	1	2	yes	—
115	C₁₃×#449	C₂²	1	2	yes	—
116	C₁₃×#448	C₂²	1	2	yes	—
117	C₁₃×#446	C₂²	1	2	yes	—
118	C₁₃×#442	C₂²	1	2	yes	—
119	C₁₃×#441	C₂²	1	2	yes	—
120	C₁₃×#440	C₂²	1	2	yes	—
121	C₁₃×#440	C₂²	1	2	yes	—
122	C₄×C₁₃×Q₁₆	C₂²	1	2	yes	—
123	C₄×C₁₃×SD₁₆	C₂²	1	2	yes	—
124	C₁₃×#435	C₂²	1	2	yes	—
125	C₁₃×#435	C₂²	1	2	yes	—
126	C₈×D₄×C₁₃	C₂²	1	2	yes	—
127	C₁₃×#432	C₂²	1	1	yes	characteristic
128	C₁₃×#432	C₂²	1	1	yes	characteristic
129	C₁₃×#432	C₂²	1	1	yes	characteristic
130	C₁₃×#417	C₂²	1	2	yes	—
131	C₁₃×#417	C₂²	1	2	yes	—
132	C₁₃×#416	C₂²	1	2	yes	—
133	C₁₃×#416	C₂²	1	2	yes	—
134	C₂×C₁₃×#103	C₂²	1	2	yes	—
135	C₂×C₁₃×#103	C₂²	1	2	yes	—
136	C₄×C₁₃×M₁₆	C₂²	1	1	yes	characteristic
137	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
138	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic
139	C₂×C₁₃×#41	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	D₄	1	1	yes	characteristic
142	C₂×C₁₃×#41	C₂³	1	2	yes	—
143	C₂×C₁₃×#41	C₂³	1	2	yes	—
144	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
145	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
146	C₂×C₁₃×Q₁₆	C₂³	1	2	yes	—
147	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
148	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
149	C₂×C₁₃×SD₁₆	C₂³	1	2	yes	—
150	C₂×C₁₃×D₈	C₂³	1	2	yes	—
151	C₂×C₁₃×M₁₆	C₂³	1	2	yes	—
152	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
153	C₂²×C₈×C₁₃	C₂³	1	2	yes	—
154	C₁₃×C₄⋊Q₈	—	2	1	no	—
155	C₁₃×C₄⋊Q₈	—	2	1	no	—
156	C₁₃×C₄⋊Q₈	—	2	1	no	—
157	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
158	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
159	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
162	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
163	C₁₃×#127	C₂³	1	1	yes	characteristic
164	C₁₃×#126	—	2	1	no	—
165	C₁₃×#126	—	2	1	no	—
166	C₁₃×#126	—	2	2	no	—
167	C₁₃×#126	—	2	2	no	—
168	C₁₃×#126	—	2	1	no	—
169	C₁₃×#126	—	2	1	no	—
170	C₁₃×#126	—	2	1	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#125	—	2	1	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	—	2	1	no	—
177	C₁₃×#125	—	2	1	no	—
178	C₁₃×#125	—	2	1	no	—
179	C₁₃×#125	—	2	1	no	—
180	C₁₃×#125	—	2	1	no	—
181	C₁₃×#125	—	2	1	no	—
182	C₁₃×#125	—	2	1	no	—
183	C₁₃×#125	—	2	1	no	—
184	C₁₃×#125	C₂³	1	1	yes	characteristic
185	C₁₃×#125	C₂³	1	1	yes	characteristic
186	C₁₃×#125	C₂³	1	1	yes	characteristic
187	C₁₃×#125	C₂³	1	1	yes	characteristic
188	C₁₃×#125	C₂³	1	1	yes	characteristic
189	C₁₃×#125	C₂³	1	1	yes	characteristic
190	C₁₃×#125	C₂³	1	1	yes	characteristic
191	C₁₃×#124	—	2	2	no	—
192	C₁₃×#124	—	2	2	no	—
193	C₁₃×#124	—	2	1	no	—
194	C₁₃×#124	C₂³	1	2	yes	—
195	C₁₃×#124	C₂³	1	2	yes	—
196	C₁₃×#124	C₂³	1	1	yes	characteristic
197	C₁₃×#123	—	2	1	no	—
198	C₁₃×#123	—	2	1	no	—
199	C₁₃×#123	—	2	1	no	—
200	C₁₃×#123	—	2	1	no	—
201	C₁₃×#123	—	2	1	no	—
202	C₁₃×#123	—	2	1	no	—
203	C₁₃×#123	—	2	1	no	—
204	C₁₃×#123	—	2	1	no	—
205	C₁₃×#123	—	2	1	no	—
206	C₁₃×#123	—	2	2	no	—
207	C₁₃×#123	—	2	2	no	—
208	C₁₃×C₂²⋊Q₈	—	2	2	no	—
209	C₁₃×C₂²⋊Q₈	—	2	1	no	—
210	C₁₃×C₂²⋊Q₈	—	2	1	no	—
211	C₁₃×C₂²⋊Q₈	—	2	1	no	—
212	C₁₃×C₂²⋊Q₈	—	2	1	no	—
213	C₁₃×C₂²⋊Q₈	—	2	1	no	—
214	C₁₃×C₂²⋊Q₈	—	2	1	no	—
215	C₁₃×C₂²⋊Q₈	—	2	1	no	—
216	C₁₃×C₂²⋊Q₈	—	2	1	no	—
217	C₁₃×C₂²⋊Q₈	—	2	2	no	—
218	C₁₃×C₂²⋊Q₈	—	2	2	no	—
219	C₁₃×C₂²⋊Q₈	—	2	1	no	—
220	C₁₃×C₂²⋊Q₈	—	2	1	no	—
221	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
225	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
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	1	no	—
232	C₁₃×#121	—	2	1	no	—
233	C₁₃×#121	—	2	1	no	—
234	C₁₃×#121	—	2	1	no	—
235	C₁₃×#121	—	2	1	no	—
236	C₁₃×#121	C₂³	1	1	yes	characteristic
237	C₁₃×#121	C₂³	1	1	yes	characteristic
238	C₁₃×#121	C₂³	1	1	yes	characteristic
239	C₁₃×#121	C₂³	1	2	yes	—
240	C₄×Q₈×C₁₃	—	2	1	no	—
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	1	no	—
245	C₄×Q₈×C₁₃	D₄	1	1	yes	characteristic
246	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
247	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
248	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
249	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
250	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
251	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
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	2	no	—
258	C₄×D₄×C₁₃	—	2	1	no	—
259	C₄×D₄×C₁₃	—	2	1	no	—
260	C₄×D₄×C₁₃	—	2	1	no	—
261	C₄×D₄×C₁₃	—	2	1	no	—
262	C₄×D₄×C₁₃	—	2	1	no	—
263	C₄×D₄×C₁₃	—	2	1	no	—
264	C₄×D₄×C₁₃	—	2	1	no	—
265	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
266	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
267	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
268	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
269	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
270	C₄×D₄×C₁₃	C₂³	1	2	yes	—
271	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
272	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
273	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
274	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
275	C₁₃×#117	—	2	1	no	—
276	C₁₃×#117	—	2	1	no	—
277	C₁₃×#117	—	2	2	no	—
278	C₁₃×#117	—	2	1	no	—
279	C₁₃×#117	—	2	1	no	—
280	C₁₃×#117	—	2	1	no	—
281	C₁₃×#117	—	2	1	no	—
282	C₁₃×#117	—	2	1	no	—
283	C₁₃×#117	D₄	1	1	yes	characteristic
284	C₁₃×#117	D₄	1	1	yes	characteristic
285	C₁₃×#117	D₄	1	1	yes	characteristic
286	C₁₃×#117	C₂³	1	1	yes	characteristic
287	C₁₃×#117	C₂³	1	1	yes	characteristic
288	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
289	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
290	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
291	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
292	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
293	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
294	C₂×C₁₃×C₄⋊C₄	—	2	2	no	—
295	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
296	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
303	C₁₃×#107	C₂³	1	2	yes	—
304	C₁₃×#107	C₂³	1	2	yes	—
305	C₁₃×#107	C₂³	1	2	yes	—
306	C₁₃×#106	C₂³	1	2	yes	—
307	C₁₃×#106	C₂³	1	2	yes	—
308	C₁₃×#106	C₂³	1	2	yes	—
309	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
310	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
311	C₁₃×C₄⋊C₈	C₂³	1	2	yes	—
312	C₁₃×#103	C₂³	1	2	yes	—
313	C₁₃×#103	C₂³	1	2	yes	—
314	C₁₃×#103	C₂³	1	2	yes	—
315	C₁₃×#103	C₂³	1	2	yes	—
316	C₁₃×#103	C₂³	1	2	yes	—
317	C₁₃×#103	C₂³	1	2	yes	—
318	C₁₃×#103	C₂³	1	2	yes	—
319	C₁₃×#103	C₂³	1	2	yes	—
320	C₁₃×#103	C₂³	1	2	yes	—
321	C₁₃×#103	C₂³	1	2	yes	—
322	C₁₃×#103	C₂³	1	2	yes	—
323	C₁₃×#103	C₂³	1	2	yes	—
324	C₁₃×#103	C₂³	1	2	yes	—
325	C₁₃×#102	C₂³	1	2	yes	—
326	C₁₃×#102	C₂³	1	2	yes	—
327	C₁₃×#102	C₂³	1	2	yes	—
328	C₁₃×#102	C₂³	1	2	yes	—
329	C₁₃×#102	C₂³	1	2	yes	—
330	C₁₃×#102	C₂³	1	2	yes	—
331	C₁₃×#102	C₂³	1	2	yes	—
332	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
333	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
334	C₁₃×C₂²⋊C₈	C₂³	1	2	yes	—
335	C₁₃×#97	C₂³	1	1	yes	characteristic
336	C₁₃×#97	C₂³	1	1	yes	characteristic
337	C₁₃×#97	C₂³	1	1	yes	characteristic
338	C₁₃×#97	C₂³	1	2	yes	—
339	C₁₃×#97	C₂³	1	2	yes	—
340	C₁₃×#97	C₂³	1	1	yes	characteristic
341	C₄×C₈×C₁₃	C₂³	1	2	yes	—
342	#62579	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
343	C₁₃×#41	—	4	2	no	—
344	C₁₃×#41	—	4	4	no	—
345	C₁₃×#41	—	4	2	no	—
346	C₁₃×#41	—	4	2	no	—
347	C₁₃×#41	—	4	2	no	—
348	C₁₃×#41	—	4	2	no	—
349	C₁₃×#41	—	4	4	no	—
350	C₂×Q₈×C₁₃	—	2	1	no	—
351	C₂×Q₈×C₁₃	—	2	1	no	—
352	C₂×Q₈×C₁₃	—	2	1	no	—
353	C₂×Q₈×C₁₃	—	2	2	no	—
354	C₂×Q₈×C₁₃	—	4	2	no	—
355	C₂×Q₈×C₁₃	—	4	2	no	—
356	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
357	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
358	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
359	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	1	no	—
364	C₂×D₄×C₁₃	—	2	2	no	—
365	C₂×D₄×C₁₃	—	2	2	no	—
366	C₂×D₄×C₁₃	—	2	1	no	—
367	C₂×D₄×C₁₃	—	2	1	no	—
368	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
369	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
370	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
371	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
372	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	—	2	1	no	—
374	C₂²×C₄×C₁₃	—	2	1	no	—
375	C₂²×C₄×C₁₃	—	2	1	no	—
376	C₂²×C₄×C₁₃	—	2	1	no	—
377	C₂²×C₄×C₁₃	—	2	2	no	—
378	C₂²×C₄×C₁₃	—	2	2	no	—
379	C₂²×C₄×C₁₃	—	2	1	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	C₂×D₄	1	1	yes	characteristic
385	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
393	C₁₃×Q₁₆	—	4	2	no	—
394	C₁₃×Q₁₆	—	4	2	no	—
395	C₁₃×SD₁₆	—	4	2	no	—
396	C₁₃×SD₁₆	—	4	2	no	—
397	C₁₃×SD₁₆	—	4	2	no	—
398	C₁₃×D₈	—	4	2	no	—
399	C₁₃×M₁₆	—	4	2	no	—
400	C₂×C₈×C₁₃	—	4	2	no	—
401	C₂×C₈×C₁₃	—	4	2	no	—
402	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
403	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
404	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
405	C₂×C₈×C₁₃	C₂⁴	1	2	yes	—
406	C₁₃×C₄⋊C₄	—	2	2	no	—
407	C₁₃×C₄⋊C₄	—	2	1	no	—
408	C₁₃×C₄⋊C₄	—	2	1	no	—
409	C₁₃×C₄⋊C₄	—	2	1	no	—
410	C₁₃×C₄⋊C₄	—	2	1	no	—
411	C₁₃×C₄⋊C₄	—	2	1	no	—
412	C₁₃×C₄⋊C₄	—	2	1	no	—
413	C₁₃×C₄⋊C₄	—	2	1	no	—
414	C₁₃×C₄⋊C₄	—	2	1	no	—
415	C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₁₃×C₄⋊C₄	—	2	1	no	—
417	C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₁₃×C₄⋊C₄	—	2	2	no	—
419	C₁₃×C₄⋊C₄	—	2	2	no	—
420	C₁₃×C₄⋊C₄	—	2	1	no	—
421	C₁₃×C₄⋊C₄	—	2	1	no	—
422	C₁₃×C₄⋊C₄	—	2	1	no	—
423	C₁₃×C₄⋊C₄	—	2	1	no	—
424	C₁₃×C₄⋊C₄	—	2	1	no	—
425	C₁₃×C₄⋊C₄	—	2	1	no	—
426	C₁₃×C₄⋊C₄	—	2	1	no	—
427	C₁₃×C₄⋊C₄	—	2	1	no	—
428	C₁₃×C₄⋊C₄	—	2	2	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	1	no	—
434	C₁₃×C₄⋊C₄	—	2	1	no	—
435	C₁₃×C₄⋊C₄	—	2	1	no	—
436	C₁₃×C₄⋊C₄	—	2	1	no	—
437	C₁₃×C₄⋊C₄	—	2	1	no	—
438	C₁₃×C₄⋊C₄	—	2	2	no	—
439	C₁₃×C₄⋊C₄	—	2	2	no	—
440	C₁₃×C₄⋊C₄	—	2	1	no	—
441	C₁₃×C₄⋊C₄	—	2	1	no	—
442	C₁₃×C₄⋊C₄	—	2	1	no	—
443	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
444	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
445	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
446	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
447	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
448	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
449	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
450	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
451	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
452	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
453	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
454	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
455	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
456	C₁₃×C₂²⋊C₄	—	2	1	no	—
457	C₁₃×C₂²⋊C₄	—	2	1	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	1	no	—
462	C₁₃×C₂²⋊C₄	—	2	1	no	—
463	C₁₃×C₂²⋊C₄	—	2	1	no	—
464	C₁₃×C₂²⋊C₄	—	2	2	no	—
465	C₁₃×C₂²⋊C₄	—	2	2	no	—
466	C₁₃×C₂²⋊C₄	—	2	1	no	—
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	no	—
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	—	2	2	no	—
471	C₁₃×C₂²⋊C₄	—	2	2	no	—
472	C₁₃×C₂²⋊C₄	—	2	2	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	1	no	—
475	C₁₃×C₂²⋊C₄	—	2	2	no	—
476	C₁₃×C₂²⋊C₄	—	2	1	no	—
477	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
478	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
479	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
480	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
481	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
482	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
483	C₄²×C₁₃	—	2	2	no	—
484	C₄²×C₁₃	—	2	2	no	—
485	C₄²×C₁₃	—	2	1	no	—
486	C₄²×C₁₃	—	2	1	no	—
487	C₄²×C₁₃	—	2	1	no	—
488	C₄²×C₁₃	—	2	1	no	—
489	C₄²×C₁₃	—	2	1	no	—
490	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
491	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
492	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
493	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
495	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
496	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
497	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
498	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
499	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
500	#3515	C₂×C₁₃	1	1	yes	characteristic, complemented
501	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
502	#3377	C₂×C₁₃	1	2	yes	complemented
503	#3376	C₂×C₁₃	1	2	yes	complemented
504	#3316	C₂×C₁₃	1	2	yes	complemented
505	#3315	C₂×C₁₃	1	2	yes	complemented
506	#3308	C₂×C₁₃	1	2	yes	complemented
507	#3307	C₂×C₁₃	1	2	yes	complemented
508	#3301	C₂×C₁₃	1	2	yes	complemented
509	#3300	C₂×C₁₃	1	2	yes	complemented
510	#3237	C₂×C₁₃	1	1	yes	characteristic, complemented
511	#3236	C₂×C₁₃	1	1	yes	characteristic, complemented
512	#3234	C₂×C₁₃	1	1	yes	characteristic, complemented
513	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
514	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
515	#3218	C₂×C₁₃	1	1	yes	characteristic, complemented
516	#3181	C₂×C₁₃	1	1	yes	characteristic, complemented
517	#3180	C₂×C₁₃	1	1	yes	characteristic, complemented
518	#3172	C₂×C₁₃	1	1	yes	characteristic, complemented
519	#3142	C₂×C₁₃	1	1	yes	characteristic, complemented
520	#3135	C₂×C₁₃	1	1	yes	characteristic, complemented
521	C₂×#491	C₂×C₁₃	1	1	yes	characteristic, complemented
522	#2970	C₂×C₁₃	1	1	yes	characteristic, complemented
523	C₂³×C₁₃	—	2	1	no	—
524	C₂³×C₁₃	—	2	2	no	—
525	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
526	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
527	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
528	Q₈×C₁₃	—	2	2	no	—
529	Q₈×C₁₃	—	2	2	no	—
530	Q₈×C₁₃	—	2	2	no	—
531	Q₈×C₁₃	—	2	2	no	—
532	Q₈×C₁₃	—	2	2	no	—
533	Q₈×C₁₃	—	4	1	no	—
534	Q₈×C₁₃	—	4	2	no	—
535	Q₈×C₁₃	—	4	2	no	—
536	Q₈×C₁₃	—	8	1	no	—
537	Q₈×C₁₃	—	8	2	no	—
538	D₄×C₁₃	—	2	2	no	—
539	D₄×C₁₃	—	2	2	no	—
540	D₄×C₁₃	—	2	2	no	—
541	D₄×C₁₃	—	2	2	no	—
542	D₄×C₁₃	—	2	2	no	—
543	D₄×C₁₃	—	4	1	no	—
544	D₄×C₁₃	—	4	2	no	—
545	D₄×C₁₃	—	4	2	no	—
546	D₄×C₁₃	—	4	2	no	—
547	D₄×C₁₃	—	4	4	no	—
548	D₄×C₁₃	—	4	2	no	—
549	D₄×C₁₃	—	8	1	no	—
550	D₄×C₁₃	—	8	2	no	—
551	D₄×C₁₃	—	8	2	no	—
552	C₂×C₄×C₁₃	—	2	2	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	2	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	2	2	no	—
563	C₂×C₄×C₁₃	—	2	2	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	—	4	1	no	—
567	C₂×C₄×C₁₃	—	4	1	no	—
568	C₂×C₄×C₁₃	—	4	1	no	—
569	C₂×C₄×C₁₃	—	4	1	no	—
570	C₂×C₄×C₁₃	—	4	1	no	—
571	C₂×C₄×C₁₃	—	4	4	no	—
572	C₂×C₄×C₁₃	—	4	2	no	—
573	C₂×C₄×C₁₃	—	4	2	no	—
574	C₂×C₄×C₁₃	—	4	2	no	—
575	C₂×C₄×C₁₃	—	8	1	no	—
576	C₂×C₄×C₁₃	—	8	1	no	—
577	C₂×C₄×C₁₃	—	8	2	no	—
578	C₂×C₄×C₁₃	—	8	2	no	—
579	C₂×C₄×C₁₃	—	8	1	no	—
580	C₂×C₄×C₁₃	—	8	1	no	—
581	C₂×C₄×C₁₃	—	8	2	no	—
582	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
583	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
584	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
585	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
586	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
587	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
588	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
589	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
590	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
591	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
592	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
593	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
594	C₈×C₁₃	—	2	2	no	—
595	C₈×C₁₃	—	2	2	no	—
596	C₈×C₁₃	—	2	2	no	—
597	C₈×C₁₃	—	2	2	no	—
598	#557	C₂²×C₁₃	1	1	yes	characteristic
599	#556	C₂²×C₁₃	1	2	yes	—
600	#555	—	2	1	no	—
601	#554	—	2	1	no	—
602	#554	C₂²×C₁₃	1	1	yes	characteristic
603	#554	C₂²×C₁₃	1	1	yes	characteristic
604	#553	—	2	1	no	—
605	#553	—	2	1	no	—
606	#553	C₂²×C₁₃	1	1	yes	characteristic
607	#553	C₂²×C₁₃	1	1	yes	characteristic
608	#552	—	2	1	no	—
609	#552	—	2	1	no	—
610	#552	—	2	1	no	—
611	#552	C₂²×C₁₃	1	1	yes	characteristic
612	#552	C₂²×C₁₃	1	1	yes	characteristic
613	#548	C₂²×C₁₃	1	2	yes	—
614	#548	C₂²×C₁₃	1	2	yes	—
615	#547	—	2	1	no	—
616	#547	C₂²×C₁₃	1	2	yes	—
617	#547	C₂²×C₁₃	1	1	yes	characteristic
618	#542	—	2	1	no	—
619	#542	—	2	1	no	—
620	#541	—	2	1	no	—
621	#539	—	2	1	no	—
622	#539	—	2	1	no	—
623	#537	—	2	1	no	—
624	#533	C₂²×C₁₃	1	1	yes	characteristic
625	#533	C₂²×C₁₃	1	1	yes	characteristic
626	#533	C₂²×C₁₃	1	1	yes	characteristic
627	#532	C₂²×C₁₃	1	1	yes	characteristic
628	#532	C₂²×C₁₃	1	1	yes	characteristic
629	#532	C₂²×C₁₃	1	1	yes	characteristic
630	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
631	#529	C₂²×C₁₃	1	1	yes	characteristic
632	#529	C₂²×C₁₃	1	1	yes	characteristic
633	#529	C₂²×C₁₃	1	1	yes	characteristic
634	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
635	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
636	#520	—	2	1	no	—
637	#520	—	2	1	no	—
638	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
639	#501	C₂²×C₁₃	1	1	yes	characteristic
640	#501	C₂²×C₁₃	1	1	yes	characteristic
641	#501	C₂²×C₁₃	1	1	yes	characteristic
642	#497	C₂²×C₁₃	1	1	yes	characteristic
643	#497	C₂²×C₁₃	1	1	yes	characteristic
644	#496	C₂²×C₁₃	1	1	yes	characteristic
645	#491	C₂²×C₁₃	1	2	yes	—
646	#491	C₂²×C₁₃	1	2	yes	—
647	#491	C₂²×C₁₃	1	1	yes	characteristic
648	#491	C₂²×C₁₃	1	1	yes	characteristic
649	#491	C₂²×C₁₃	1	1	yes	characteristic
650	#491	C₂²×C₁₃	1	1	yes	characteristic
651	#491	C₂²×C₁₃	1	1	yes	characteristic
652	#491	C₂²×C₁₃	1	1	yes	characteristic
653	#490	C₂²×C₁₃	1	1	yes	characteristic
654	#490	C₂²×C₁₃	1	1	yes	characteristic
655	#490	C₂²×C₁₃	1	1	yes	characteristic
656	#489	C₂²×C₁₃	1	2	yes	—
657	#489	C₂²×C₁₃	1	2	yes	—
658	#489	C₂²×C₁₃	1	1	yes	characteristic
659	#488	C₂²×C₁₃	1	2	yes	—
660	#488	C₂²×C₁₃	1	2	yes	—
661	#485	C₂²×C₁₃	1	2	yes	—
662	#485	C₂²×C₁₃	1	2	yes	—
663	#484	C₂²×C₁₃	1	2	yes	—
664	#483	C₂²×C₁₃	1	2	yes	—
665	#481	C₂²×C₁₃	1	2	yes	—
666	#480	C₂²×C₁₃	1	2	yes	—
667	#479	C₂²×C₁₃	1	2	yes	—
668	#479	C₂²×C₁₃	1	2	yes	—
669	#478	C₂²×C₁₃	1	2	yes	—
670	#478	C₂²×C₁₃	1	2	yes	—
671	#477	C₂²×C₁₃	1	2	yes	—
672	#475	C₂²×C₁₃	1	2	yes	—
673	#470	C₂²×C₁₃	1	2	yes	—
674	#468	C₂²×C₁₃	1	2	yes	—
675	#467	C₂²×C₁₃	1	2	yes	—
676	#466	C₂²×C₁₃	1	2	yes	—
677	#465	C₂²×C₁₃	1	2	yes	—
678	#465	C₂²×C₁₃	1	2	yes	—
679	#464	C₂²×C₁₃	1	2	yes	—
680	#464	C₂²×C₁₃	1	2	yes	—
681	#463	C₂²×C₁₃	1	2	yes	—
682	#463	C₂²×C₁₃	1	2	yes	—
683	#462	C₂²×C₁₃	1	2	yes	—
684	#461	C₂²×C₁₃	1	2	yes	—
685	#452	C₂²×C₁₃	1	2	yes	—
686	#452	C₂²×C₁₃	1	2	yes	—
687	#451	C₂²×C₁₃	1	2	yes	—
688	#449	C₂²×C₁₃	1	2	yes	—
689	#449	C₂²×C₁₃	1	2	yes	—
690	#448	C₂²×C₁₃	1	2	yes	—
691	#446	C₂²×C₁₃	1	2	yes	—
692	#442	C₂²×C₁₃	1	2	yes	—
693	#441	C₂²×C₁₃	1	2	yes	—
694	#440	C₂²×C₁₃	1	2	yes	—
695	#440	C₂²×C₁₃	1	2	yes	—
696	C₄×Q₁₆	C₂²×C₁₃	1	2	yes	—
697	C₄×SD₁₆	C₂²×C₁₃	1	2	yes	—
698	#435	C₂²×C₁₃	1	2	yes	—
699	#435	C₂²×C₁₃	1	2	yes	—
700	C₈×D₄	C₂²×C₁₃	1	2	yes	—
701	#432	C₂²×C₁₃	1	1	yes	characteristic
702	#432	C₂²×C₁₃	1	1	yes	characteristic
703	#432	C₂²×C₁₃	1	1	yes	characteristic
704	#417	C₂²×C₁₃	1	2	yes	—
705	#417	C₂²×C₁₃	1	2	yes	—
706	#416	C₂²×C₁₃	1	2	yes	—
707	#416	C₂²×C₁₃	1	2	yes	—
708	C₂×#103	C₂²×C₁₃	1	2	yes	—
709	C₂×#103	C₂²×C₁₃	1	2	yes	—
710	C₄×M₁₆	C₂²×C₁₃	1	1	yes	characteristic
711	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
712	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic
713	C₂²×C₁₃	—	2	1	no	—
714	C₂²×C₁₃	—	2	1	no	—
715	C₂²×C₁₃	—	2	1	no	—
716	C₂²×C₁₃	—	2	1	no	—
717	C₂²×C₁₃	—	2	1	no	—
718	C₂²×C₁₃	—	2	1	no	—
719	C₂²×C₁₃	—	2	1	no	—
720	C₂²×C₁₃	—	2	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	#575	1	2	yes	—
728	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
729	C₄×C₁₃	—	2	1	no	—
730	C₄×C₁₃	—	2	1	no	—
731	C₄×C₁₃	—	2	1	no	—
732	C₄×C₁₃	—	2	1	no	—
733	C₄×C₁₃	—	2	1	no	—
734	C₄×C₁₃	—	2	1	no	—
735	C₄×C₁₃	—	2	1	no	—
736	C₄×C₁₃	—	2	1	no	—
737	C₄×C₁₃	—	2	1	no	—
738	C₄×C₁₃	—	2	1	no	—
739	C₄×C₁₃	—	2	1	no	—
740	C₄×C₁₃	—	4	1	no	—
741	C₄×C₁₃	—	4	1	no	—
742	C₄×C₁₃	—	4	1	no	—
743	C₄×C₁₃	—	4	2	no	—
744	C₄×C₁₃	—	4	2	no	—
745	C₄×C₁₃	—	4	1	no	—
746	C₄×C₁₃	—	4	1	no	—
747	C₄×C₁₃	—	4	2	no	—
748	C₄×C₁₃	—	4	1	no	—
749	C₄×C₁₃	—	4	1	no	—
750	C₄×C₁₃	#585	1	2	yes	—
751	C₂×#41	—	2	1	no	—
752	C₂×#41	—	2	1	no	—
753	C₂×#41	D₄×C₁₃	1	1	yes	characteristic
754	C₂×#41	C₂³×C₁₃	1	2	yes	—
755	C₂×#41	C₂³×C₁₃	1	2	yes	—
756	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
757	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
758	C₂×Q₁₆	C₂³×C₁₃	1	2	yes	—
759	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
760	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
761	C₂×SD₁₆	C₂³×C₁₃	1	2	yes	—
762	C₂×D₈	C₂³×C₁₃	1	2	yes	—
763	C₂×M₁₆	C₂³×C₁₃	1	2	yes	—
764	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
765	C₂²×C₈	C₂³×C₁₃	1	2	yes	—
766	C₄⋊Q₈	—	2	1	no	—
767	C₄⋊Q₈	—	2	1	no	—
768	C₄⋊Q₈	—	2	1	no	—
769	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
770	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
771	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
772	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
773	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
774	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
775	#127	C₂³×C₁₃	1	1	yes	characteristic
776	#126	—	2	1	no	—
777	#126	—	2	1	no	—
778	#126	—	2	2	no	—
779	#126	—	2	2	no	—
780	#126	—	2	1	no	—
781	#126	—	2	1	no	—
782	#126	—	2	1	no	—
783	#126	—	2	1	no	—
784	#126	—	2	1	no	—
785	#125	—	2	1	no	—
786	#125	—	2	1	no	—
787	#125	—	2	1	no	—
788	#125	—	2	1	no	—
789	#125	—	2	1	no	—
790	#125	—	2	1	no	—
791	#125	—	2	1	no	—
792	#125	—	2	1	no	—
793	#125	—	2	1	no	—
794	#125	—	2	1	no	—
795	#125	—	2	1	no	—
796	#125	C₂³×C₁₃	1	1	yes	characteristic
797	#125	C₂³×C₁₃	1	1	yes	characteristic
798	#125	C₂³×C₁₃	1	1	yes	characteristic
799	#125	C₂³×C₁₃	1	1	yes	characteristic
800	#125	C₂³×C₁₃	1	1	yes	characteristic
801	#125	C₂³×C₁₃	1	1	yes	characteristic
802	#125	C₂³×C₁₃	1	1	yes	characteristic
803	#124	—	2	2	no	—
804	#124	—	2	2	no	—
805	#124	—	2	1	no	—
806	#124	C₂³×C₁₃	1	1	yes	characteristic
807	#124	C₂³×C₁₃	1	2	yes	—
808	#124	C₂³×C₁₃	1	2	yes	—
809	#123	—	2	1	no	—
810	#123	—	2	1	no	—
811	#123	—	2	1	no	—
812	#123	—	2	1	no	—
813	#123	—	2	1	no	—
814	#123	—	2	1	no	—
815	#123	—	2	1	no	—
816	#123	—	2	1	no	—
817	#123	—	2	1	no	—
818	#123	—	2	2	no	—
819	#123	—	2	2	no	—
820	C₂²⋊Q₈	—	2	2	no	—
821	C₂²⋊Q₈	—	2	1	no	—
822	C₂²⋊Q₈	—	2	1	no	—
823	C₂²⋊Q₈	—	2	1	no	—
824	C₂²⋊Q₈	—	2	1	no	—
825	C₂²⋊Q₈	—	2	1	no	—
826	C₂²⋊Q₈	—	2	1	no	—
827	C₂²⋊Q₈	—	2	1	no	—
828	C₂²⋊Q₈	—	2	1	no	—
829	C₂²⋊Q₈	—	2	2	no	—
830	C₂²⋊Q₈	—	2	2	no	—
831	C₂²⋊Q₈	—	2	1	no	—
832	C₂²⋊Q₈	—	2	1	no	—
833	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
834	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
835	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
836	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
837	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
838	#121	—	2	2	no	—
839	#121	—	2	2	no	—
840	#121	—	2	2	no	—
841	#121	—	2	1	no	—
842	#121	—	2	1	no	—
843	#121	—	2	1	no	—
844	#121	—	2	1	no	—
845	#121	—	2	1	no	—
846	#121	—	2	1	no	—
847	#121	—	2	1	no	—
848	#121	C₂³×C₁₃	1	1	yes	characteristic
849	#121	C₂³×C₁₃	1	1	yes	characteristic
850	#121	C₂³×C₁₃	1	1	yes	characteristic
851	#121	C₂³×C₁₃	1	2	yes	—
852	C₄×Q₈	—	2	1	no	—
853	C₄×Q₈	—	2	1	no	—
854	C₄×Q₈	—	2	1	no	—
855	C₄×Q₈	—	2	1	no	—
856	C₄×Q₈	—	2	1	no	—
857	C₄×Q₈	D₄×C₁₃	1	1	yes	characteristic
858	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
859	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
860	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
861	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
862	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
863	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
864	C₄×D₄	—	2	1	no	—
865	C₄×D₄	—	2	1	no	—
866	C₄×D₄	—	2	1	no	—
867	C₄×D₄	—	2	1	no	—
868	C₄×D₄	—	2	2	no	—
869	C₄×D₄	—	2	2	no	—
870	C₄×D₄	—	2	1	no	—
871	C₄×D₄	—	2	1	no	—
872	C₄×D₄	—	2	1	no	—
873	C₄×D₄	—	2	1	no	—
874	C₄×D₄	—	2	1	no	—
875	C₄×D₄	—	2	1	no	—
876	C₄×D₄	—	2	1	no	—
877	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
878	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
879	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
880	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
881	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
882	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
883	C₄×D₄	C₂³×C₁₃	1	2	yes	—
884	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
885	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
886	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
887	#117	—	2	1	no	—
888	#117	—	2	1	no	—
889	#117	—	2	2	no	—
890	#117	—	2	1	no	—
891	#117	—	2	1	no	—
892	#117	—	2	1	no	—
893	#117	—	2	1	no	—
894	#117	—	2	1	no	—
895	#117	D₄×C₁₃	1	1	yes	characteristic
896	#117	D₄×C₁₃	1	1	yes	characteristic
897	#117	D₄×C₁₃	1	1	yes	characteristic
898	#117	C₂³×C₁₃	1	1	yes	characteristic
899	#117	C₂³×C₁₃	1	1	yes	characteristic
900	C₂×C₄⋊C₄	—	2	1	no	—
901	C₂×C₄⋊C₄	—	2	1	no	—
902	C₂×C₄⋊C₄	—	2	1	no	—
903	C₂×C₄⋊C₄	—	2	1	no	—
904	C₂×C₄⋊C₄	—	2	1	no	—
905	C₂×C₄⋊C₄	—	2	1	no	—
906	C₂×C₄⋊C₄	—	2	2	no	—
907	C₂×C₄⋊C₄	—	2	1	no	—
908	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
912	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
913	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
914	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
915	#107	C₂³×C₁₃	1	2	yes	—
916	#107	C₂³×C₁₃	1	2	yes	—
917	#107	C₂³×C₁₃	1	2	yes	—
918	#106	C₂³×C₁₃	1	2	yes	—
919	#106	C₂³×C₁₃	1	2	yes	—
920	#106	C₂³×C₁₃	1	2	yes	—
921	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
922	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
923	C₄⋊C₈	C₂³×C₁₃	1	2	yes	—
924	#103	C₂³×C₁₃	1	2	yes	—
925	#103	C₂³×C₁₃	1	2	yes	—
926	#103	C₂³×C₁₃	1	2	yes	—
927	#103	C₂³×C₁₃	1	2	yes	—
928	#103	C₂³×C₁₃	1	2	yes	—
929	#103	C₂³×C₁₃	1	2	yes	—
930	#103	C₂³×C₁₃	1	2	yes	—
931	#103	C₂³×C₁₃	1	2	yes	—
932	#103	C₂³×C₁₃	1	2	yes	—
933	#103	C₂³×C₁₃	1	2	yes	—
934	#103	C₂³×C₁₃	1	2	yes	—
935	#103	C₂³×C₁₃	1	2	yes	—
936	#103	C₂³×C₁₃	1	2	yes	—
937	#102	C₂³×C₁₃	1	2	yes	—
938	#102	C₂³×C₁₃	1	2	yes	—
939	#102	C₂³×C₁₃	1	2	yes	—
940	#102	C₂³×C₁₃	1	2	yes	—
941	#102	C₂³×C₁₃	1	2	yes	—
942	#102	C₂³×C₁₃	1	2	yes	—
943	#102	C₂³×C₁₃	1	2	yes	—
944	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
945	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
946	C₂²⋊C₈	C₂³×C₁₃	1	2	yes	—
947	#97	C₂³×C₁₃	1	1	yes	characteristic
948	#97	C₂³×C₁₃	1	1	yes	characteristic
949	#97	C₂³×C₁₃	1	1	yes	characteristic
950	#97	C₂³×C₁₃	1	2	yes	—
951	#97	C₂³×C₁₃	1	2	yes	—
952	#97	C₂³×C₁₃	1	1	yes	characteristic
953	C₄×C₈	C₂³×C₁₃	1	2	yes	—
954	C₂×C₁₃	—	2	2	no	—
955	C₂×C₁₃	—	4	1	no	—
956	C₂×C₁₃	—	4	1	no	—
957	C₂×C₁₃	—	8	1	no	—
958	C₂×C₁₃	—	8	2	no	—
959	C₂×C₁₃	#3500	1	1	yes	characteristic
960	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
961	C₂×C₁₃	#3586	1	1	yes	characteristic
962	#41	—	4	2	no	—
963	#41	—	4	4	no	—
964	#41	—	4	2	no	—
965	#41	—	4	2	no	—
966	#41	—	4	2	no	—
967	#41	—	4	2	no	—
968	#41	—	4	4	no	—
969	C₂×Q₈	—	2	1	no	—
970	C₂×Q₈	—	2	1	no	—
971	C₂×Q₈	—	2	1	no	—
972	C₂×Q₈	—	2	2	no	—
973	C₂×Q₈	—	4	2	no	—
974	C₂×Q₈	—	4	2	no	—
975	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
976	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
977	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
978	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
979	C₂×D₄	—	2	2	no	—
980	C₂×D₄	—	2	1	no	—
981	C₂×D₄	—	2	1	no	—
982	C₂×D₄	—	2	1	no	—
983	C₂×D₄	—	2	2	no	—
984	C₂×D₄	—	2	2	no	—
985	C₂×D₄	—	2	1	no	—
986	C₂×D₄	—	2	1	no	—
987	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
988	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
989	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
990	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
991	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
992	C₂²×C₄	—	2	1	no	—
993	C₂²×C₄	—	2	1	no	—
994	C₂²×C₄	—	2	1	no	—
995	C₂²×C₄	—	2	1	no	—
996	C₂²×C₄	—	2	2	no	—
997	C₂²×C₄	—	2	2	no	—
998	C₂²×C₄	—	2	1	no	—
999	C₂²×C₄	—	2	1	no	—
1000	C₂²×C₄	—	2	1	no	—
1001	C₂²×C₄	—	2	2	no	—
1002	C₂²×C₄	—	2	2	no	—
1003	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1004	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1005	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1006	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1007	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1008	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1009	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1010	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1011	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1012	Q₁₆	—	4	2	no	—
1013	Q₁₆	—	4	2	no	—
1014	SD₁₆	—	4	2	no	—
1015	SD₁₆	—	4	2	no	—
1016	SD₁₆	—	4	2	no	—
1017	D₈	—	4	2	no	—
1018	M₁₆	—	4	2	no	—
1019	C₂×C₈	—	4	2	no	—
1020	C₂×C₈	—	4	2	no	—
1021	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
1022	C₂×C₈	C₂⁴×C₁₃	1	2	yes	—
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	1	no	—
1031	C₄⋊C₄	—	2	1	no	—
1032	C₄⋊C₄	—	2	1	no	—
1033	C₄⋊C₄	—	2	1	no	—
1034	C₄⋊C₄	—	2	1	no	—
1035	C₄⋊C₄	—	2	1	no	—
1036	C₄⋊C₄	—	2	1	no	—
1037	C₄⋊C₄	—	2	2	no	—
1038	C₄⋊C₄	—	2	2	no	—
1039	C₄⋊C₄	—	2	1	no	—
1040	C₄⋊C₄	—	2	1	no	—
1041	C₄⋊C₄	—	2	1	no	—
1042	C₄⋊C₄	—	2	1	no	—
1043	C₄⋊C₄	—	2	1	no	—
1044	C₄⋊C₄	—	2	1	no	—
1045	C₄⋊C₄	—	2	1	no	—
1046	C₄⋊C₄	—	2	1	no	—
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	2	1	no	—
1049	C₄⋊C₄	—	2	1	no	—
1050	C₄⋊C₄	—	2	1	no	—
1051	C₄⋊C₄	—	2	1	no	—
1052	C₄⋊C₄	—	2	1	no	—
1053	C₄⋊C₄	—	2	1	no	—
1054	C₄⋊C₄	—	2	1	no	—
1055	C₄⋊C₄	—	2	1	no	—
1056	C₄⋊C₄	—	2	1	no	—
1057	C₄⋊C₄	—	2	2	no	—
1058	C₄⋊C₄	—	2	2	no	—
1059	C₄⋊C₄	—	2	1	no	—
1060	C₄⋊C₄	—	2	1	no	—
1061	C₄⋊C₄	—	2	1	no	—
1062	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1063	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1064	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1065	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1066	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1067	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1068	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1069	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1070	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1071	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1072	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1073	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1074	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1075	C₂²⋊C₄	—	2	1	no	—
1076	C₂²⋊C₄	—	2	1	no	—
1077	C₂²⋊C₄	—	2	2	no	—
1078	C₂²⋊C₄	—	2	2	no	—
1079	C₂²⋊C₄	—	2	1	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	1	no	—
1086	C₂²⋊C₄	—	2	1	no	—
1087	C₂²⋊C₄	—	2	1	no	—
1088	C₂²⋊C₄	—	2	1	no	—
1089	C₂²⋊C₄	—	2	2	no	—
1090	C₂²⋊C₄	—	2	2	no	—
1091	C₂²⋊C₄	—	2	2	no	—
1092	C₂²⋊C₄	—	2	1	no	—
1093	C₂²⋊C₄	—	2	1	no	—
1094	C₂²⋊C₄	—	2	2	no	—
1095	C₂²⋊C₄	—	2	1	no	—
1096	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1097	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1098	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1099	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1100	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1101	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1102	C₄²	—	2	2	no	—
1103	C₄²	—	2	2	no	—
1104	C₄²	—	2	1	no	—
1105	C₄²	—	2	1	no	—
1106	C₄²	—	2	1	no	—
1107	C₄²	—	2	1	no	—
1108	C₄²	—	2	1	no	—
1109	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1110	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1111	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1112	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1113	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1114	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1115	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1116	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1117	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1118	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1119	C₁₃	#62579	1	1	yes	characteristic, direct product factor, Sylow
1120	C₂³	—	2	1	no	—
1121	C₂³	—	2	2	no	—
1122	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1123	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1124	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1125	Q₈	—	2	2	no	—
1126	Q₈	—	2	2	no	—
1127	Q₈	—	2	2	no	—
1128	Q₈	—	2	2	no	—
1129	Q₈	—	2	2	no	—
1130	Q₈	—	4	1	no	—
1131	Q₈	—	4	2	no	—
1132	Q₈	—	4	2	no	—
1133	Q₈	—	8	2	no	—
1134	Q₈	—	8	1	no	—
1135	D₄	—	2	2	no	—
1136	D₄	—	2	2	no	—
1137	D₄	—	2	2	no	—
1138	D₄	—	2	2	no	—
1139	D₄	—	2	2	no	—
1140	D₄	—	4	1	no	—
1141	D₄	—	4	2	no	—
1142	D₄	—	4	2	no	—
1143	D₄	—	4	2	no	—
1144	D₄	—	4	4	no	—
1145	D₄	—	4	2	no	—
1146	D₄	—	8	1	no	—
1147	D₄	—	8	2	no	—
1148	D₄	—	8	2	no	—
1149	C₂×C₄	—	2	2	no	—
1150	C₂×C₄	—	2	2	no	—
1151	C₂×C₄	—	2	2	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	2	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	2	no	—
1160	C₂×C₄	—	2	2	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	4	1	no	—
1164	C₂×C₄	—	4	1	no	—
1165	C₂×C₄	—	4	1	no	—
1166	C₂×C₄	—	4	1	no	—
1167	C₂×C₄	—	4	1	no	—
1168	C₂×C₄	—	4	4	no	—
1169	C₂×C₄	—	4	2	no	—
1170	C₂×C₄	—	4	2	no	—
1171	C₂×C₄	—	4	2	no	—
1172	C₂×C₄	—	8	1	no	—
1173	C₂×C₄	—	8	1	no	—
1174	C₂×C₄	—	8	2	no	—
1175	C₂×C₄	—	8	2	no	—
1176	C₂×C₄	—	8	1	no	—
1177	C₂×C₄	—	8	1	no	—
1178	C₂×C₄	—	8	2	no	—
1179	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
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	1	yes	characteristic
1183	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1184	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1185	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1186	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1187	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1188	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1189	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1190	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1191	C₈	—	2	2	no	—
1192	C₈	—	2	2	no	—
1193	C₈	—	2	2	no	—
1194	C₈	—	2	2	no	—
1195	C₂²	—	2	1	no	—
1196	C₂²	—	2	1	no	—
1197	C₂²	—	2	1	no	—
1198	C₂²	—	2	1	no	—
1199	C₂²	—	2	1	no	—
1200	C₂²	—	2	1	no	—
1201	C₂²	—	2	1	no	—
1202	C₂²	—	2	1	no	—
1203	C₂²	—	4	2	no	—
1204	C₂²	—	4	1	no	—
1205	C₂²	—	4	1	no	—
1206	C₂²	—	4	2	no	—
1207	C₂²	—	4	2	no	—
1208	C₂²	—	4	1	no	—
1209	C₂²	C₁₃×#575	1	2	yes	—
1210	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1211	C₄	—	2	1	no	—
1212	C₄	—	2	1	no	—
1213	C₄	—	2	1	no	—
1214	C₄	—	2	1	no	—
1215	C₄	—	2	1	no	—
1216	C₄	—	2	1	no	—
1217	C₄	—	2	1	no	—
1218	C₄	—	2	1	no	—
1219	C₄	—	2	1	no	—
1220	C₄	—	2	1	no	—
1221	C₄	—	2	1	no	—
1222	C₄	—	4	1	no	—
1223	C₄	—	4	2	no	—
1224	C₄	—	4	1	no	—
1225	C₄	—	4	1	no	—
1226	C₄	—	4	1	no	—
1227	C₄	—	4	1	no	—
1228	C₄	—	4	1	no	—
1229	C₄	—	4	2	no	—
1230	C₄	—	4	2	no	—
1231	C₄	—	4	1	no	—
1232	C₄	C₁₃×#585	1	2	yes	—
1233	C₂	—	2	2	no	—
1234	C₂	—	4	1	no	—
1235	C₂	—	4	1	no	—
1236	C₂	—	8	1	no	—
1237	C₂	—	8	2	no	—
1238	C₂	C₁₃×#3500	1	1	yes	characteristic
1239	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1240	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 ◁ C₄×C₁₃×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3515	C₂	semidirect
2. C₁₃×#3511	C₂	semidirect
3. C₁₃×#3377	C₂	semidirect
4. C₁₃×#3376	C₂	semidirect
5. C₁₃×#3316	C₂	semidirect
6. C₁₃×#3315	C₂	semidirect
7. C₁₃×#3308	C₂	semidirect
8. C₁₃×#3307	C₂	semidirect
9. C₁₃×#3301	C₂	semidirect
10. C₁₃×#3300	C₂	semidirect
11. C₁₃×#3237	C₂	semidirect
12. C₁₃×#3236	C₂	semidirect
13. C₁₃×#3234	C₂	semidirect
14. C₁₃×#3219	C₂	semidirect
15. C₁₃×#3219	C₂	semidirect
16. C₁₃×#3218	C₂	semidirect
17. C₁₃×#3181	C₂	semidirect
18. C₁₃×#3180	C₂	semidirect
19. C₁₃×#3172	C₂	semidirect
20. C₁₃×#3142	C₂	semidirect
21. C₁₃×#3135	C₂	semidirect
22. C₂×C₁₃×#491	C₂	semidirect
23. C₁₃×#2970	C₂	semidirect
342. #62579	C₁₃	direct (N × H)
500. #3515	C₂×C₁₃	semidirect
501. #3511	C₂×C₁₃	semidirect
502. #3377	C₂×C₁₃	semidirect
503. #3376	C₂×C₁₃	semidirect
504. #3316	C₂×C₁₃	semidirect
505. #3315	C₂×C₁₃	semidirect
506. #3308	C₂×C₁₃	semidirect
507. #3307	C₂×C₁₃	semidirect
508. #3301	C₂×C₁₃	semidirect
509. #3300	C₂×C₁₃	semidirect
510. #3237	C₂×C₁₃	semidirect
511. #3236	C₂×C₁₃	semidirect
512. #3234	C₂×C₁₃	semidirect
513. #3219	C₂×C₁₃	semidirect
514. #3219	C₂×C₁₃	semidirect
515. #3218	C₂×C₁₃	semidirect
516. #3181	C₂×C₁₃	semidirect
517. #3180	C₂×C₁₃	semidirect
518. #3172	C₂×C₁₃	semidirect
519. #3142	C₂×C₁₃	semidirect
520. #3135	C₂×C₁₃	semidirect
521. C₂×#491	C₂×C₁₃	semidirect
522. #2970	C₂×C₁₃	semidirect
1119. C₁₃	#62579	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×#3515	2
C₁₃×#3511	2
C₁₃×#3377	2
C₁₃×#3376	2
C₁₃×#3316	2
C₁₃×#3315	2
C₁₃×#3308	2
C₁₃×#3307	2
C₁₃×#3301	2
C₁₃×#3300	2
C₁₃×#3237	2
C₁₃×#3236	2
C₁₃×#3234	2
C₁₃×#3219	2
C₁₃×#3218	2
C₁₃×#3181	2
C₁₃×#3180	2
C₁₃×#3172	2
C₁₃×#3142	2
C₁₃×#3135	2
C₂×C₁₃×#491	2
C₁₃×#2970	2
#62579	13

Subgroups — C13×#62579 #15748918

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62579 #15748918