Subgroups — C₁₃×#62601 #15748940

Order 3328.

1726 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3562	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3547	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3376	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3373	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3370	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3367	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3319	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3319	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3309	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3307	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3305	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3303	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3301	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3242	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3241	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3233	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3221	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3220	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3207	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3180	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3176	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3174	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3137	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3136	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#3135	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2968	C₂	1	1	yes	maximal, characteristic, complemented
32	C₁₃×#562	—	2	1	no	—
33	C₁₃×#562	—	2	1	no	—
34	C₁₃×#562	—	2	1	no	—
35	C₁₃×#560	—	2	1	no	—
36	C₁₃×#559	C₂²	1	1	yes	characteristic
37	C₁₃×#556	C₂²	1	1	yes	characteristic
38	C₁₃×#555	C₂²	1	1	yes	characteristic
39	C₁₃×#555	C₂²	1	1	yes	characteristic
40	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#553	—	2	1	no	—
43	C₁₃×#553	C₂²	1	1	yes	characteristic
44	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#552	—	2	1	no	—
46	C₁₃×#551	—	2	1	no	—
47	C₁₃×#550	C₂²	1	1	yes	characteristic
48	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#548	—	2	1	no	—
50	C₁₃×#548	C₂²	1	1	yes	characteristic
51	C₁₃×#548	C₂²	1	1	yes	characteristic
52	C₁₃×#547	C₂²	1	1	yes	characteristic
53	C₁₃×#547	C₂²	1	1	yes	characteristic
54	C₁₃×#546	C₂²	1	1	yes	characteristic
55	C₁₃×#546	C₂²	1	1	yes	characteristic
56	C₁₃×#544	C₂²	1	1	yes	characteristic
57	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#542	—	2	1	no	—
59	C₁₃×#542	—	2	1	no	—
60	C₁₃×#541	C₂²	1	1	yes	characteristic
61	C₁₃×#540	—	2	1	no	—
62	C₁₃×#540	C₂²	1	1	yes	characteristic
63	C₁₃×#540	C₂²	1	1	yes	characteristic
64	C₁₃×#540	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#539	—	2	1	no	—
66	C₁₃×#538	—	2	1	no	—
67	C₁₃×#538	—	2	1	no	—
68	C₁₃×#537	—	2	1	no	—
69	C₁₃×#536	—	2	1	no	—
70	C₁₃×#536	C₂²	1	1	yes	characteristic
71	C₁₃×#535	C₂²	1	1	yes	characteristic
72	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#532	C₂²	1	1	yes	characteristic
74	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#529	C₂²	1	1	yes	characteristic
76	C₁₃×#529	C₂²	1	1	yes	characteristic
77	C₁₃×#501	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#499	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#496	C₂²	1	1	yes	characteristic
81	C₁₃×#493	C₂²	1	1	yes	characteristic
82	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#490	C₂²	1	1	yes	characteristic
87	C₁₃×#490	C₂²	1	1	yes	characteristic
88	C₁₃×#490	C₂²	1	1	yes	characteristic
89	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#489	C₂²	1	1	yes	characteristic
91	C₁₃×#489	C₂²	1	1	yes	characteristic
92	C₁₃×#489	C₂²	1	1	yes	characteristic
93	C₁₃×#489	C₂²	1	1	yes	characteristic
94	C₁₃×#489	C₂²	1	1	yes	characteristic
95	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#488	C₂²	1	1	yes	characteristic
98	C₁₃×#488	C₂²	1	1	yes	characteristic
99	C₁₃×#488	C₂²	1	1	yes	characteristic
100	C₁₃×#488	C₂²	1	1	yes	characteristic
101	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#487	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#486	C₂²	1	1	yes	characteristic
104	C₁₃×#486	C₂²	1	1	yes	characteristic
105	C₁₃×#485	C₂²	1	1	yes	characteristic
106	C₁₃×#485	C₂²	1	1	yes	characteristic
107	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#484	C₂²	1	1	yes	characteristic
110	C₁₃×#483	C₂²	1	1	yes	characteristic
111	C₁₃×#482	C₂²	1	1	yes	characteristic
112	C₁₃×#482	C₂²	1	1	yes	characteristic
113	C₁₃×#482	C₂²	1	1	yes	characteristic
114	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#481	C₂²	1	1	yes	characteristic
116	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#478	C₂²	1	1	yes	characteristic
120	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#476	C₂²	1	1	yes	characteristic
124	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#474	C₂²	1	1	yes	characteristic
128	C₁₃×#474	C₂²	1	1	yes	characteristic
129	C₁₃×#469	C₂²	1	1	yes	characteristic
130	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#468	C₂²	1	1	yes	characteristic
132	C₁₃×#468	C₂²	1	1	yes	characteristic
133	C₁₃×#466	C₂²	1	1	yes	characteristic
134	C₁₃×#466	C₂²	1	1	yes	characteristic
135	C₁₃×#466	C₂²	1	1	yes	characteristic
136	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#465	C₂²	1	1	yes	characteristic
138	C₁₃×#465	C₂²	1	1	yes	characteristic
139	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#463	C₂²	1	1	yes	characteristic
142	C₁₃×#463	C₂²	1	1	yes	characteristic
143	C₁₃×#463	C₂²	1	1	yes	characteristic
144	C₁₃×#463	C₂²	1	1	yes	characteristic
145	C₁₃×#463	C₂²	1	1	yes	characteristic
146	C₁₃×#463	C₂²	1	1	yes	characteristic
147	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#459	C₂²	1	1	yes	characteristic
152	C₁₃×#459	C₂²	1	1	yes	characteristic
153	C₁₃×#449	C₂²	1	1	yes	characteristic
154	C₁₃×#449	C₂²	1	1	yes	characteristic
155	C₁₃×#449	C₂²	1	1	yes	characteristic
156	C₁₃×#449	C₂²	1	1	yes	characteristic
157	C₁₃×#449	C₂²	1	1	yes	characteristic
158	C₁₃×#449	C₂²	1	1	yes	characteristic
159	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
161	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
162	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
163	C₁₃×#447	C₂²	1	1	yes	characteristic
164	C₁₃×#447	C₂²	1	1	yes	characteristic
165	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#446	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#442	C₂²	1	1	yes	characteristic
168	C₁₃×#442	C₂²	1	1	yes	characteristic
169	C₁₃×#442	C₂²	1	1	yes	characteristic
170	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
171	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
172	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
173	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
174	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
175	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
176	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic
178	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
179	C₁₃×#435	C₂²	1	1	yes	characteristic
180	C₁₃×#435	C₂²	1	1	yes	characteristic
181	C₁₃×#435	C₂²	1	1	yes	characteristic
182	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
183	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
184	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
185	C₁₃×#433	C₂²	1	1	yes	characteristic
186	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
187	C₁₃×#431	C₂²	1	1	yes	characteristic, complemented
188	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
189	C₁₃×#418	C₂²	1	1	yes	characteristic
190	C₁₃×#417	C₂²	1	1	yes	characteristic
191	C₁₃×#417	C₂²	1	1	yes	characteristic
192	C₁₃×#416	C₂²	1	1	yes	characteristic
193	C₁₃×#416	C₂²	1	1	yes	characteristic
194	C₁₃×#416	C₂²	1	1	yes	characteristic
195	C₁₃×#416	C₂²	1	1	yes	characteristic
196	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
197	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic
200	C₁₃×#405	C₂²	1	1	yes	characteristic
201	C₁₃×#405	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₃×#97	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₁₃	—	2	1	no	—
210	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
211	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
226	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
230	C₁₃×C₄⋊Q₈	—	2	1	no	—
231	C₁₃×C₄⋊Q₈	—	2	1	no	—
232	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
233	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
235	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₁₃×#127	—	2	1	no	—
240	C₁₃×#127	C₂³	1	1	yes	characteristic
241	C₁₃×#127	C₂³	1	1	yes	characteristic
242	C₁₃×#127	C₂³	1	1	yes	characteristic
243	C₁₃×#126	—	2	1	no	—
244	C₁₃×#126	—	2	1	no	—
245	C₁₃×#126	—	2	1	no	—
246	C₁₃×#126	—	2	1	no	—
247	C₁₃×#126	—	2	1	no	—
248	C₁₃×#126	—	2	1	no	—
249	C₁₃×#126	—	2	1	no	—
250	C₁₃×#126	D₄	1	1	yes	characteristic
251	C₁₃×#126	D₄	1	1	yes	characteristic
252	C₁₃×#125	—	2	1	no	—
253	C₁₃×#125	—	2	1	no	—
254	C₁₃×#125	—	2	1	no	—
255	C₁₃×#125	—	2	1	no	—
256	C₁₃×#125	D₄	1	1	yes	characteristic
257	C₁₃×#125	C₂³	1	1	yes	characteristic
258	C₁₃×#125	C₂³	1	1	yes	characteristic
259	C₁₃×#125	C₂³	1	1	yes	characteristic
260	C₁₃×#125	C₂³	1	1	yes	characteristic
261	C₁₃×#125	C₂³	1	1	yes	characteristic
262	C₁₃×#124	—	2	1	no	—
263	C₁₃×#124	—	2	1	no	—
264	C₁₃×#124	—	2	1	no	—
265	C₁₃×#124	—	2	1	no	—
266	C₁₃×#124	—	2	1	no	—
267	C₁₃×#124	—	2	1	no	—
268	C₁₃×#124	—	2	1	no	—
269	C₁₃×#124	—	2	1	no	—
270	C₁₃×#124	—	2	1	no	—
271	C₁₃×#124	—	2	1	no	—
272	C₁₃×#124	D₄	1	1	yes	characteristic
273	C₁₃×#124	C₂³	1	1	yes	characteristic
274	C₁₃×#124	C₂³	1	1	yes	characteristic
275	C₁₃×#124	C₂³	1	1	yes	characteristic
276	C₁₃×#124	C₂³	1	1	yes	characteristic
277	C₁₃×#124	C₂³	1	1	yes	characteristic
278	C₁₃×#123	—	2	1	no	—
279	C₁₃×#123	—	2	1	no	—
280	C₁₃×#123	—	2	1	no	—
281	C₁₃×#123	—	2	1	no	—
282	C₁₃×#123	—	2	1	no	—
283	C₁₃×#123	—	2	1	no	—
284	C₁₃×#123	—	2	1	no	—
285	C₁₃×#123	—	2	1	no	—
286	C₁₃×#123	—	2	1	no	—
287	C₁₃×#123	—	2	1	no	—
288	C₁₃×#123	—	2	1	no	—
289	C₁₃×#123	—	2	1	no	—
290	C₁₃×#123	—	2	1	no	—
291	C₁₃×#123	—	2	1	no	—
292	C₁₃×#123	—	2	1	no	—
293	C₁₃×#123	—	2	1	no	—
294	C₁₃×#123	—	2	1	no	—
295	C₁₃×#123	—	2	1	no	—
296	C₁₃×#123	—	2	1	no	—
297	C₁₃×#123	D₄	1	1	yes	characteristic
298	C₁₃×#123	D₄	1	1	yes	characteristic
299	C₁₃×C₂²⋊Q₈	—	2	1	no	—
300	C₁₃×C₂²⋊Q₈	—	2	1	no	—
301	C₁₃×C₂²⋊Q₈	—	2	1	no	—
302	C₁₃×C₂²⋊Q₈	—	2	1	no	—
303	C₁₃×C₂²⋊Q₈	—	2	1	no	—
304	C₁₃×C₂²⋊Q₈	—	2	1	no	—
305	C₁₃×C₂²⋊Q₈	—	2	1	no	—
306	C₁₃×C₂²⋊Q₈	—	2	1	no	—
307	C₁₃×C₂²⋊Q₈	—	2	1	no	—
308	C₁₃×C₂²⋊Q₈	—	2	1	no	—
309	C₁₃×C₂²⋊Q₈	—	2	1	no	—
310	C₁₃×C₂²⋊Q₈	—	2	1	no	—
311	C₁₃×C₂²⋊Q₈	—	2	1	no	—
312	C₁₃×C₂²⋊Q₈	—	2	1	no	—
313	C₁₃×C₂²⋊Q₈	—	2	1	no	—
314	C₁₃×C₂²⋊Q₈	—	2	1	no	—
315	C₁₃×C₂²⋊Q₈	—	2	1	no	—
316	C₁₃×C₂²⋊Q₈	—	2	1	no	—
317	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
318	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
319	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
320	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
321	C₁₃×#121	—	2	1	no	—
322	C₁₃×#121	—	2	1	no	—
323	C₁₃×#121	—	2	1	no	—
324	C₁₃×#121	—	2	1	no	—
325	C₁₃×#121	—	2	1	no	—
326	C₁₃×#121	—	2	1	no	—
327	C₁₃×#121	—	2	1	no	—
328	C₁₃×#121	—	2	1	no	—
329	C₁₃×#121	—	2	1	no	—
330	C₁₃×#121	—	2	1	no	—
331	C₁₃×#121	—	2	1	no	—
332	C₁₃×#121	—	2	1	no	—
333	C₁₃×#121	—	2	1	no	—
334	C₁₃×#121	—	2	1	no	—
335	C₁₃×#121	—	2	1	no	—
336	C₁₃×#121	—	2	1	no	—
337	C₁₃×#121	—	2	1	no	—
338	C₁₃×#121	—	2	1	no	—
339	C₁₃×#121	—	2	1	no	—
340	C₁₃×#121	—	2	1	no	—
341	C₁₃×#121	—	2	1	no	—
342	C₁₃×#121	—	2	1	no	—
343	C₁₃×#121	—	2	1	no	—
344	C₁₃×#121	D₄	1	1	yes	characteristic
345	C₁₃×#121	C₂³	1	1	yes	characteristic
346	C₁₃×#121	C₂³	1	1	yes	characteristic
347	C₁₃×#121	C₂³	1	1	yes	characteristic
348	C₁₃×#121	C₂³	1	1	yes	characteristic
349	C₁₃×#121	C₂³	1	1	yes	characteristic
350	C₁₃×#121	C₂³	1	1	yes	characteristic
351	C₁₃×#121	C₂³	1	1	yes	characteristic
352	C₁₃×#121	C₂³	1	1	yes	characteristic
353	C₁₃×#121	C₂³	1	1	yes	characteristic
354	C₁₃×#120	—	2	1	no	—
355	C₁₃×#120	—	2	1	no	—
356	C₁₃×#120	—	2	1	no	—
357	C₁₃×#120	—	2	1	no	—
358	C₄×Q₈×C₁₃	—	2	1	no	—
359	C₄×Q₈×C₁₃	—	2	1	no	—
360	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
361	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
362	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
363	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
364	C₄×D₄×C₁₃	—	2	1	no	—
365	C₄×D₄×C₁₃	—	2	1	no	—
366	C₄×D₄×C₁₃	—	2	1	no	—
367	C₄×D₄×C₁₃	—	2	1	no	—
368	C₄×D₄×C₁₃	—	2	1	no	—
369	C₄×D₄×C₁₃	—	2	1	no	—
370	C₄×D₄×C₁₃	—	2	1	no	—
371	C₄×D₄×C₁₃	—	2	1	no	—
372	C₄×D₄×C₁₃	—	2	1	no	—
373	C₄×D₄×C₁₃	—	2	1	no	—
374	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
375	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
377	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
378	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
379	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
380	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
381	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
382	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
383	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
384	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
385	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
386	C₁₃×#117	—	2	1	no	—
387	C₁₃×#117	—	2	1	no	—
388	C₁₃×#117	—	2	1	no	—
389	C₁₃×#117	—	2	1	no	—
390	C₁₃×#117	—	2	1	no	—
391	C₁₃×#117	C₂³	1	1	yes	characteristic
392	C₁₃×#117	C₂³	1	1	yes	characteristic
393	C₁₃×#117	C₂³	1	1	yes	characteristic
394	C₁₃×#117	C₂³	1	1	yes	characteristic
395	C₁₃×#117	C₂³	1	1	yes	characteristic
396	C₁₃×#117	C₂³	1	1	yes	characteristic
397	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
398	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
399	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
400	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
401	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
402	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
403	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
404	C₁₃×#107	C₂³	1	1	yes	characteristic
405	C₁₃×#107	C₂³	1	1	yes	characteristic
406	C₁₃×#107	C₂³	1	1	yes	characteristic
407	C₁₃×#107	C₂³	1	1	yes	characteristic
408	C₁₃×#107	C₂³	1	1	yes	characteristic
409	C₁₃×#107	C₂³	1	1	yes	characteristic
410	C₁₃×#106	C₂³	1	1	yes	characteristic
411	C₁₃×#106	C₂³	1	1	yes	characteristic
412	C₁₃×#106	C₂³	1	1	yes	characteristic
413	C₁₃×#106	C₂³	1	1	yes	characteristic
414	C₁₃×#106	C₂³	1	1	yes	characteristic
415	C₁₃×#106	C₂³	1	1	yes	characteristic
416	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
419	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
420	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
421	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
422	C₁₃×#103	C₂³	1	1	yes	characteristic
423	C₁₃×#103	C₂³	1	1	yes	characteristic
424	C₁₃×#103	C₂³	1	1	yes	characteristic
425	C₁₃×#103	C₂³	1	1	yes	characteristic
426	C₁₃×#103	C₂³	1	1	yes	characteristic
427	C₁₃×#103	C₂³	1	1	yes	characteristic
428	C₁₃×#103	C₂³	1	1	yes	characteristic
429	C₁₃×#103	C₂³	1	1	yes	characteristic
430	C₁₃×#103	C₂³	1	1	yes	characteristic
431	C₁₃×#103	C₂³	1	1	yes	characteristic
432	C₁₃×#103	C₂³	1	1	yes	characteristic
433	C₁₃×#103	C₂³	1	1	yes	characteristic
434	C₁₃×#103	C₂³	1	1	yes	characteristic
435	C₁₃×#103	C₂³	1	1	yes	characteristic
436	C₁₃×#103	C₂³	1	1	yes	characteristic
437	C₁₃×#103	C₂³	1	1	yes	characteristic
438	C₁₃×#103	C₂³	1	1	yes	characteristic
439	C₁₃×#103	C₂³	1	1	yes	characteristic
440	C₁₃×#102	C₂³	1	1	yes	characteristic
441	C₁₃×#102	C₂³	1	1	yes	characteristic
442	C₁₃×#102	C₂³	1	1	yes	characteristic
443	C₁₃×#102	C₂³	1	1	yes	characteristic
444	C₁₃×#102	C₂³	1	1	yes	characteristic
445	C₁₃×#102	C₂³	1	1	yes	characteristic
446	C₁₃×#102	C₂³	1	1	yes	characteristic
447	C₁₃×#102	C₂³	1	1	yes	characteristic
448	C₁₃×#102	C₂³	1	1	yes	characteristic
449	C₁₃×#102	C₂³	1	1	yes	characteristic
450	C₁₃×#102	C₂³	1	1	yes	characteristic
451	C₁₃×#102	C₂³	1	1	yes	characteristic
452	C₁₃×#102	C₂³	1	1	yes	characteristic
453	C₁₃×#102	C₂³	1	1	yes	characteristic
454	C₁₃×#102	C₂³	1	1	yes	characteristic
455	C₁₃×#102	C₂³	1	1	yes	characteristic
456	C₁₃×#102	C₂³	1	1	yes	characteristic
457	C₁₃×#102	C₂³	1	1	yes	characteristic
458	C₁₃×#102	C₂³	1	1	yes	characteristic
459	C₁₃×#102	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
463	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
464	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
465	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
466	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
467	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
468	C₁₃×#97	C₂³	1	1	yes	characteristic
469	C₁₃×#97	C₂³	1	1	yes	characteristic
470	C₁₃×#97	C₂³	1	1	yes	characteristic
471	C₁₃×#97	C₂³	1	1	yes	characteristic
472	C₁₃×#97	C₂³	1	1	yes	characteristic
473	C₁₃×#97	C₂³	1	1	yes	characteristic
474	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
475	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
476	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
477	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
478	#62601	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
479	C₂⁴×C₁₃	—	2	1	no	—
480	C₁₃×#41	—	4	1	no	—
481	C₁₃×#41	—	4	1	no	—
482	C₁₃×#41	—	4	1	no	—
483	C₁₃×#41	—	4	1	no	—
484	C₁₃×#41	—	4	1	no	—
485	C₁₃×#41	—	4	1	no	—
486	C₁₃×#41	—	4	1	no	—
487	C₁₃×#41	—	4	1	no	—
488	C₁₃×#41	—	8	2	no	—
489	C₁₃×#41	—	8	2	no	—
490	C₂×Q₈×C₁₃	—	2	1	no	—
491	C₂×Q₈×C₁₃	—	2	1	no	—
492	C₂×Q₈×C₁₃	—	2	1	no	—
493	C₂×Q₈×C₁₃	—	2	1	no	—
494	C₂×Q₈×C₁₃	—	2	1	no	—
495	C₂×Q₈×C₁₃	—	2	1	no	—
496	C₂×Q₈×C₁₃	—	4	1	no	—
497	C₂×Q₈×C₁₃	—	4	1	no	—
498	C₂×Q₈×C₁₃	—	8	2	no	—
499	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
500	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₁₃	—	2	1	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	2	1	no	—
514	C₂×D₄×C₁₃	—	2	1	no	—
515	C₂×D₄×C₁₃	—	2	1	no	—
516	C₂×D₄×C₁₃	—	2	1	no	—
517	C₂×D₄×C₁₃	—	2	1	no	—
518	C₂×D₄×C₁₃	—	2	1	no	—
519	C₂×D₄×C₁₃	—	2	1	no	—
520	C₂×D₄×C₁₃	—	2	1	no	—
521	C₂×D₄×C₁₃	—	2	1	no	—
522	C₂×D₄×C₁₃	—	2	1	no	—
523	C₂×D₄×C₁₃	—	4	1	no	—
524	C₂×D₄×C₁₃	—	4	1	no	—
525	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
526	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
527	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
528	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
529	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
530	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₁₃	—	2	1	no	—
534	C₂²×C₄×C₁₃	—	2	1	no	—
535	C₂²×C₄×C₁₃	—	2	1	no	—
536	C₂²×C₄×C₁₃	—	2	1	no	—
537	C₂²×C₄×C₁₃	—	2	1	no	—
538	C₂²×C₄×C₁₃	—	2	1	no	—
539	C₂²×C₄×C₁₃	—	2	1	no	—
540	C₂²×C₄×C₁₃	—	2	1	no	—
541	C₂²×C₄×C₁₃	—	2	1	no	—
542	C₂²×C₄×C₁₃	—	2	1	no	—
543	C₂²×C₄×C₁₃	—	2	1	no	—
544	C₂²×C₄×C₁₃	—	2	1	no	—
545	C₂²×C₄×C₁₃	—	2	1	no	—
546	C₂²×C₄×C₁₃	—	2	1	no	—
547	C₂²×C₄×C₁₃	—	2	1	no	—
548	C₂²×C₄×C₁₃	—	2	1	no	—
549	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₁₃×SD₁₆	—	4	1	no	—
555	C₁₃×SD₁₆	—	4	1	no	—
556	C₁₃×SD₁₆	—	4	1	no	—
557	C₁₃×SD₁₆	—	4	1	no	—
558	C₁₃×SD₁₆	—	4	1	no	—
559	C₁₃×SD₁₆	—	4	1	no	—
560	C₁₃×D₈	—	4	1	no	—
561	C₁₃×D₈	—	4	1	no	—
562	C₁₃×D₈	—	4	1	no	—
563	C₁₃×D₈	—	4	1	no	—
564	C₁₃×D₈	—	4	1	no	—
565	C₁₃×D₈	—	4	1	no	—
566	C₁₃×M₁₆	—	4	1	no	—
567	C₁₃×M₁₆	—	4	1	no	—
568	C₂×C₈×C₁₃	—	4	1	no	—
569	C₂×C₈×C₁₃	—	4	1	no	—
570	C₂×C₈×C₁₃	—	4	1	no	—
571	C₂×C₈×C₁₃	—	4	1	no	—
572	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
573	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
574	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
575	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₁₃×C₄⋊C₄	—	2	1	no	—
581	C₁₃×C₄⋊C₄	—	2	1	no	—
582	C₁₃×C₄⋊C₄	—	2	1	no	—
583	C₁₃×C₄⋊C₄	—	2	1	no	—
584	C₁₃×C₄⋊C₄	—	2	1	no	—
585	C₁₃×C₄⋊C₄	—	2	1	no	—
586	C₁₃×C₄⋊C₄	—	2	1	no	—
587	C₁₃×C₄⋊C₄	—	2	1	no	—
588	C₁₃×C₄⋊C₄	—	2	1	no	—
589	C₁₃×C₄⋊C₄	—	2	1	no	—
590	C₁₃×C₄⋊C₄	—	2	1	no	—
591	C₁₃×C₄⋊C₄	—	2	1	no	—
592	C₁₃×C₄⋊C₄	—	2	1	no	—
593	C₁₃×C₄⋊C₄	—	2	1	no	—
594	C₁₃×C₄⋊C₄	—	2	1	no	—
595	C₁₃×C₄⋊C₄	—	2	1	no	—
596	C₁₃×C₄⋊C₄	—	2	1	no	—
597	C₁₃×C₄⋊C₄	—	2	1	no	—
598	C₁₃×C₄⋊C₄	—	2	1	no	—
599	C₁₃×C₄⋊C₄	—	2	1	no	—
600	C₁₃×C₄⋊C₄	—	2	1	no	—
601	C₁₃×C₄⋊C₄	—	2	1	no	—
602	C₁₃×C₄⋊C₄	—	2	1	no	—
603	C₁₃×C₄⋊C₄	—	2	1	no	—
604	C₁₃×C₄⋊C₄	—	2	1	no	—
605	C₁₃×C₄⋊C₄	—	2	1	no	—
606	C₁₃×C₄⋊C₄	—	2	1	no	—
607	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
610	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
618	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
622	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
623	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₁₃×C₂²⋊C₄	—	2	1	no	—
626	C₁₃×C₂²⋊C₄	—	2	1	no	—
627	C₁₃×C₂²⋊C₄	—	2	1	no	—
628	C₁₃×C₂²⋊C₄	—	2	1	no	—
629	C₁₃×C₂²⋊C₄	—	2	1	no	—
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	—	2	1	no	—
656	C₁₃×C₂²⋊C₄	—	2	1	no	—
657	C₁₃×C₂²⋊C₄	—	2	1	no	—
658	C₁₃×C₂²⋊C₄	—	2	1	no	—
659	C₁₃×C₂²⋊C₄	—	2	1	no	—
660	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
662	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
663	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₄²×C₁₃	—	2	1	no	—
671	C₄²×C₁₃	—	2	1	no	—
672	C₄²×C₁₃	—	2	1	no	—
673	C₄²×C₁₃	—	2	1	no	—
674	C₄²×C₁₃	—	2	1	no	—
675	C₄²×C₁₃	—	2	1	no	—
676	C₄²×C₁₃	—	2	1	no	—
677	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
678	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
679	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
680	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
681	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
682	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
683	#3562	C₂×C₁₃	1	1	yes	characteristic, complemented
684	#3547	C₂×C₁₃	1	1	yes	characteristic, complemented
685	#3376	C₂×C₁₃	1	1	yes	characteristic, complemented
686	#3373	C₂×C₁₃	1	1	yes	characteristic, complemented
687	#3370	C₂×C₁₃	1	1	yes	characteristic, complemented
688	#3367	C₂×C₁₃	1	1	yes	characteristic, complemented
689	#3321	C₂×C₁₃	1	1	yes	characteristic, complemented
690	#3321	C₂×C₁₃	1	1	yes	characteristic, complemented
691	#3319	C₂×C₁₃	1	1	yes	characteristic, complemented
692	#3319	C₂×C₁₃	1	1	yes	characteristic, complemented
693	#3309	C₂×C₁₃	1	1	yes	characteristic, complemented
694	#3308	C₂×C₁₃	1	1	yes	characteristic, complemented
695	#3307	C₂×C₁₃	1	1	yes	characteristic, complemented
696	#3306	C₂×C₁₃	1	1	yes	characteristic, complemented
697	#3305	C₂×C₁₃	1	1	yes	characteristic, complemented
698	#3303	C₂×C₁₃	1	1	yes	characteristic, complemented
699	#3301	C₂×C₁₃	1	1	yes	characteristic, complemented
700	#3297	C₂×C₁₃	1	1	yes	characteristic, complemented
701	#3242	C₂×C₁₃	1	1	yes	characteristic, complemented
702	#3241	C₂×C₁₃	1	1	yes	characteristic, complemented
703	#3233	C₂×C₁₃	1	1	yes	characteristic, complemented
704	#3221	C₂×C₁₃	1	1	yes	characteristic, complemented
705	#3220	C₂×C₁₃	1	1	yes	characteristic, complemented
706	#3207	C₂×C₁₃	1	1	yes	characteristic, complemented
707	#3180	C₂×C₁₃	1	1	yes	characteristic, complemented
708	#3176	C₂×C₁₃	1	1	yes	characteristic, complemented
709	#3174	C₂×C₁₃	1	1	yes	characteristic, complemented
710	#3137	C₂×C₁₃	1	1	yes	characteristic, complemented
711	#3136	C₂×C₁₃	1	1	yes	characteristic, complemented
712	#3135	C₂×C₁₃	1	1	yes	characteristic, complemented
713	#2968	C₂×C₁₃	1	1	yes	characteristic, complemented
714	C₂³×C₁₃	—	2	1	no	—
715	C₂³×C₁₃	—	2	1	no	—
716	C₂³×C₁₃	—	2	1	no	—
717	C₂³×C₁₃	—	2	1	no	—
718	C₂³×C₁₃	—	2	1	no	—
719	C₂³×C₁₃	—	8	1	no	—
720	C₂³×C₁₃	—	8	1	no	—
721	C₂³×C₁₃	—	8	1	no	—
722	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
723	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
724	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
725	Q₈×C₁₃	—	2	1	no	—
726	Q₈×C₁₃	—	2	1	no	—
727	Q₈×C₁₃	—	2	1	no	—
728	Q₈×C₁₃	—	2	1	no	—
729	Q₈×C₁₃	—	2	1	no	—
730	Q₈×C₁₃	—	2	1	no	—
731	Q₈×C₁₃	—	4	1	no	—
732	Q₈×C₁₃	—	4	2	no	—
733	Q₈×C₁₃	—	8	1	no	—
734	Q₈×C₁₃	—	8	1	no	—
735	Q₈×C₁₃	—	8	1	no	—
736	Q₈×C₁₃	—	8	1	no	—
737	Q₈×C₁₃	—	8	1	no	—
738	D₄×C₁₃	—	2	1	no	—
739	D₄×C₁₃	—	2	1	no	—
740	D₄×C₁₃	—	2	1	no	—
741	D₄×C₁₃	—	2	1	no	—
742	D₄×C₁₃	—	2	1	no	—
743	D₄×C₁₃	—	2	1	no	—
744	D₄×C₁₃	—	2	1	no	—
745	D₄×C₁₃	—	2	1	no	—
746	D₄×C₁₃	—	2	1	no	—
747	D₄×C₁₃	—	2	1	no	—
748	D₄×C₁₃	—	4	1	no	—
749	D₄×C₁₃	—	4	1	no	—
750	D₄×C₁₃	—	4	1	no	—
751	D₄×C₁₃	—	8	1	no	—
752	D₄×C₁₃	—	8	1	no	—
753	D₄×C₁₃	—	8	1	no	—
754	D₄×C₁₃	—	8	1	no	—
755	D₄×C₁₃	—	8	1	no	—
756	D₄×C₁₃	—	8	1	no	—
757	D₄×C₁₃	—	8	1	no	—
758	D₄×C₁₃	—	8	1	no	—
759	D₄×C₁₃	—	8	1	no	—
760	D₄×C₁₃	—	8	1	no	—
761	D₄×C₁₃	—	8	1	no	—
762	D₄×C₁₃	—	8	1	no	—
763	D₄×C₁₃	—	8	1	no	—
764	D₄×C₁₃	—	8	1	no	—
765	D₄×C₁₃	—	8	1	no	—
766	D₄×C₁₃	—	8	1	no	—
767	D₄×C₁₃	—	8	1	no	—
768	D₄×C₁₃	—	8	1	no	—
769	D₄×C₁₃	—	8	1	no	—
770	D₄×C₁₃	—	8	1	no	—
771	C₂×C₄×C₁₃	—	2	1	no	—
772	C₂×C₄×C₁₃	—	2	1	no	—
773	C₂×C₄×C₁₃	—	2	1	no	—
774	C₂×C₄×C₁₃	—	2	1	no	—
775	C₂×C₄×C₁₃	—	2	1	no	—
776	C₂×C₄×C₁₃	—	2	1	no	—
777	C₂×C₄×C₁₃	—	2	1	no	—
778	C₂×C₄×C₁₃	—	2	1	no	—
779	C₂×C₄×C₁₃	—	2	1	no	—
780	C₂×C₄×C₁₃	—	2	1	no	—
781	C₂×C₄×C₁₃	—	2	1	no	—
782	C₂×C₄×C₁₃	—	2	1	no	—
783	C₂×C₄×C₁₃	—	2	1	no	—
784	C₂×C₄×C₁₃	—	2	1	no	—
785	C₂×C₄×C₁₃	—	2	1	no	—
786	C₂×C₄×C₁₃	—	2	1	no	—
787	C₂×C₄×C₁₃	—	2	1	no	—
788	C₂×C₄×C₁₃	—	4	1	no	—
789	C₂×C₄×C₁₃	—	4	1	no	—
790	C₂×C₄×C₁₃	—	4	2	no	—
791	C₂×C₄×C₁₃	—	4	2	no	—
792	C₂×C₄×C₁₃	—	8	1	no	—
793	C₂×C₄×C₁₃	—	8	1	no	—
794	C₂×C₄×C₁₃	—	8	1	no	—
795	C₂×C₄×C₁₃	—	8	1	no	—
796	C₂×C₄×C₁₃	—	8	1	no	—
797	C₂×C₄×C₁₃	—	8	1	no	—
798	C₂×C₄×C₁₃	—	8	1	no	—
799	C₂×C₄×C₁₃	—	8	1	no	—
800	C₂×C₄×C₁₃	—	8	1	no	—
801	C₂×C₄×C₁₃	—	8	1	no	—
802	C₂×C₄×C₁₃	—	8	1	no	—
803	C₂×C₄×C₁₃	—	8	1	no	—
804	C₂×C₄×C₁₃	—	8	1	no	—
805	C₂×C₄×C₁₃	—	8	1	no	—
806	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
807	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
818	C₈×C₁₃	—	2	1	no	—
819	C₈×C₁₃	—	2	1	no	—
820	C₈×C₁₃	—	2	1	no	—
821	C₈×C₁₃	—	2	1	no	—
822	C₈×C₁₃	—	2	1	no	—
823	C₈×C₁₃	—	2	1	no	—
824	C₈×C₁₃	—	2	1	no	—
825	C₈×C₁₃	—	2	1	no	—
826	#562	—	2	1	no	—
827	#562	—	2	1	no	—
828	#562	—	2	1	no	—
829	#560	—	2	1	no	—
830	#559	C₂²×C₁₃	1	1	yes	characteristic
831	#556	C₂²×C₁₃	1	1	yes	characteristic
832	#555	C₂²×C₁₃	1	1	yes	characteristic
833	#555	C₂²×C₁₃	1	1	yes	characteristic
834	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
835	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
836	#553	—	2	1	no	—
837	#553	C₂²×C₁₃	1	1	yes	characteristic
838	#553	C₂²×C₁₃	1	1	yes	characteristic, complemented
839	#552	—	2	1	no	—
840	#551	—	2	1	no	—
841	#550	C₂²×C₁₃	1	1	yes	characteristic
842	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
843	#548	—	2	1	no	—
844	#548	C₂²×C₁₃	1	1	yes	characteristic
845	#548	C₂²×C₁₃	1	1	yes	characteristic
846	#547	C₂²×C₁₃	1	1	yes	characteristic
847	#547	C₂²×C₁₃	1	1	yes	characteristic
848	#546	C₂²×C₁₃	1	1	yes	characteristic
849	#546	C₂²×C₁₃	1	1	yes	characteristic
850	#544	C₂²×C₁₃	1	1	yes	characteristic
851	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
852	#542	—	2	1	no	—
853	#542	—	2	1	no	—
854	#541	C₂²×C₁₃	1	1	yes	characteristic
855	#540	—	2	1	no	—
856	#540	C₂²×C₁₃	1	1	yes	characteristic
857	#540	C₂²×C₁₃	1	1	yes	characteristic
858	#540	C₂²×C₁₃	1	1	yes	characteristic, complemented
859	#539	—	2	1	no	—
860	#538	—	2	1	no	—
861	#538	—	2	1	no	—
862	#537	—	2	1	no	—
863	#536	—	2	1	no	—
864	#536	C₂²×C₁₃	1	1	yes	characteristic
865	#535	C₂²×C₁₃	1	1	yes	characteristic
866	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
867	#532	C₂²×C₁₃	1	1	yes	characteristic
868	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
869	#529	C₂²×C₁₃	1	1	yes	characteristic
870	#529	C₂²×C₁₃	1	1	yes	characteristic
871	#501	C₂²×C₁₃	1	1	yes	characteristic, complemented
872	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
873	#499	C₂²×C₁₃	1	1	yes	characteristic, complemented
874	#496	C₂²×C₁₃	1	1	yes	characteristic
875	#493	C₂²×C₁₃	1	1	yes	characteristic
876	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
877	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
878	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
879	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
880	#490	C₂²×C₁₃	1	1	yes	characteristic
881	#490	C₂²×C₁₃	1	1	yes	characteristic
882	#490	C₂²×C₁₃	1	1	yes	characteristic
883	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
884	#489	C₂²×C₁₃	1	1	yes	characteristic
885	#489	C₂²×C₁₃	1	1	yes	characteristic
886	#489	C₂²×C₁₃	1	1	yes	characteristic
887	#489	C₂²×C₁₃	1	1	yes	characteristic
888	#489	C₂²×C₁₃	1	1	yes	characteristic
889	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
890	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
891	#488	C₂²×C₁₃	1	1	yes	characteristic
892	#488	C₂²×C₁₃	1	1	yes	characteristic
893	#488	C₂²×C₁₃	1	1	yes	characteristic
894	#488	C₂²×C₁₃	1	1	yes	characteristic
895	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
896	#487	C₂²×C₁₃	1	1	yes	characteristic, complemented
897	#486	C₂²×C₁₃	1	1	yes	characteristic
898	#486	C₂²×C₁₃	1	1	yes	characteristic
899	#485	C₂²×C₁₃	1	1	yes	characteristic
900	#485	C₂²×C₁₃	1	1	yes	characteristic
901	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
902	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
903	#484	C₂²×C₁₃	1	1	yes	characteristic
904	#483	C₂²×C₁₃	1	1	yes	characteristic
905	#482	C₂²×C₁₃	1	1	yes	characteristic
906	#482	C₂²×C₁₃	1	1	yes	characteristic
907	#482	C₂²×C₁₃	1	1	yes	characteristic
908	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
909	#481	C₂²×C₁₃	1	1	yes	characteristic
910	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
913	#478	C₂²×C₁₃	1	1	yes	characteristic
914	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
916	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
917	#476	C₂²×C₁₃	1	1	yes	characteristic
918	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
919	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
920	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
921	#474	C₂²×C₁₃	1	1	yes	characteristic
922	#474	C₂²×C₁₃	1	1	yes	characteristic
923	#469	C₂²×C₁₃	1	1	yes	characteristic
924	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
925	#468	C₂²×C₁₃	1	1	yes	characteristic
926	#468	C₂²×C₁₃	1	1	yes	characteristic
927	#466	C₂²×C₁₃	1	1	yes	characteristic
928	#466	C₂²×C₁₃	1	1	yes	characteristic
929	#466	C₂²×C₁₃	1	1	yes	characteristic
930	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
931	#465	C₂²×C₁₃	1	1	yes	characteristic
932	#465	C₂²×C₁₃	1	1	yes	characteristic
933	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
934	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#463	C₂²×C₁₃	1	1	yes	characteristic
936	#463	C₂²×C₁₃	1	1	yes	characteristic
937	#463	C₂²×C₁₃	1	1	yes	characteristic
938	#463	C₂²×C₁₃	1	1	yes	characteristic
939	#463	C₂²×C₁₃	1	1	yes	characteristic
940	#463	C₂²×C₁₃	1	1	yes	characteristic
941	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
942	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
943	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
944	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
945	#459	C₂²×C₁₃	1	1	yes	characteristic
946	#459	C₂²×C₁₃	1	1	yes	characteristic
947	#449	C₂²×C₁₃	1	1	yes	characteristic
948	#449	C₂²×C₁₃	1	1	yes	characteristic
949	#449	C₂²×C₁₃	1	1	yes	characteristic
950	#449	C₂²×C₁₃	1	1	yes	characteristic
951	#449	C₂²×C₁₃	1	1	yes	characteristic
952	#449	C₂²×C₁₃	1	1	yes	characteristic
953	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
956	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
957	#447	C₂²×C₁₃	1	1	yes	characteristic
958	#447	C₂²×C₁₃	1	1	yes	characteristic
959	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	#446	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	#442	C₂²×C₁₃	1	1	yes	characteristic
962	#442	C₂²×C₁₃	1	1	yes	characteristic
963	#442	C₂²×C₁₃	1	1	yes	characteristic
964	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
968	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
969	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic
972	C₄×D₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
973	#435	C₂²×C₁₃	1	1	yes	characteristic
974	#435	C₂²×C₁₃	1	1	yes	characteristic
975	#435	C₂²×C₁₃	1	1	yes	characteristic
976	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
978	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	#433	C₂²×C₁₃	1	1	yes	characteristic
980	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	#431	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
983	#418	C₂²×C₁₃	1	1	yes	characteristic
984	#417	C₂²×C₁₃	1	1	yes	characteristic
985	#417	C₂²×C₁₃	1	1	yes	characteristic
986	#416	C₂²×C₁₃	1	1	yes	characteristic
987	#416	C₂²×C₁₃	1	1	yes	characteristic
988	#416	C₂²×C₁₃	1	1	yes	characteristic
989	#416	C₂²×C₁₃	1	1	yes	characteristic
990	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
991	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
992	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
993	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic
994	#405	C₂²×C₁₃	1	1	yes	characteristic
995	#405	C₂²×C₁₃	1	1	yes	characteristic, complemented
996	C₂×#97	C₂²×C₁₃	1	1	yes	characteristic, complemented
997	C₂²×C₁₃	—	2	1	no	—
998	C₂²×C₁₃	—	2	1	no	—
999	C₂²×C₁₃	—	2	1	no	—
1000	C₂²×C₁₃	—	2	1	no	—
1001	C₂²×C₁₃	—	2	1	no	—
1002	C₂²×C₁₃	—	2	1	no	—
1003	C₂²×C₁₃	—	2	1	no	—
1004	C₂²×C₁₃	—	2	1	no	—
1005	C₂²×C₁₃	—	2	1	no	—
1006	C₂²×C₁₃	—	4	1	no	—
1007	C₂²×C₁₃	—	4	1	no	—
1008	C₂²×C₁₃	—	4	1	no	—
1009	C₂²×C₁₃	—	4	1	no	—
1010	C₂²×C₁₃	—	4	1	no	—
1011	C₂²×C₁₃	—	4	1	no	—
1012	C₂²×C₁₃	—	4	1	no	—
1013	C₂²×C₁₃	—	4	1	no	—
1014	C₂²×C₁₃	—	4	1	no	—
1015	C₂²×C₁₃	—	4	1	no	—
1016	C₂²×C₁₃	—	4	1	no	—
1017	C₂²×C₁₃	—	4	1	no	—
1018	C₂²×C₁₃	—	4	1	no	—
1019	C₂²×C₁₃	—	4	1	no	—
1020	C₂²×C₁₃	—	4	1	no	—
1021	C₂²×C₁₃	—	16	2	no	—
1022	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1023	C₄×C₁₃	—	2	1	no	—
1024	C₄×C₁₃	—	2	1	no	—
1025	C₄×C₁₃	—	2	1	no	—
1026	C₄×C₁₃	—	2	1	no	—
1027	C₄×C₁₃	—	2	1	no	—
1028	C₄×C₁₃	—	2	1	no	—
1029	C₄×C₁₃	—	2	1	no	—
1030	C₄×C₁₃	—	2	1	no	—
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	2	1	no	—
1033	C₄×C₁₃	—	2	1	no	—
1034	C₄×C₁₃	—	4	1	no	—
1035	C₄×C₁₃	—	4	1	no	—
1036	C₄×C₁₃	—	4	1	no	—
1037	C₄×C₁₃	—	4	1	no	—
1038	C₄×C₁₃	—	4	1	no	—
1039	C₄×C₁₃	—	4	1	no	—
1040	C₄×C₁₃	—	4	1	no	—
1041	C₄×C₁₃	—	4	1	no	—
1042	C₄×C₁₃	—	4	1	no	—
1043	C₄×C₁₃	—	4	1	no	—
1044	C₄×C₁₃	—	4	1	no	—
1045	C₄×C₁₃	#585	1	1	yes	characteristic
1046	C₄×C₁₃	#585	1	1	yes	characteristic
1047	C₂×#41	—	2	1	no	—
1048	C₂×#41	—	2	1	no	—
1049	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂²×Q₈	—	2	1	no	—
1054	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1055	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1056	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1057	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1068	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1069	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1070	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1071	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1072	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1073	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1074	C₄⋊Q₈	—	2	1	no	—
1075	C₄⋊Q₈	—	2	1	no	—
1076	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1077	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1078	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1079	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1080	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1081	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1082	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1083	#127	—	2	1	no	—
1084	#127	C₂³×C₁₃	1	1	yes	characteristic
1085	#127	C₂³×C₁₃	1	1	yes	characteristic
1086	#127	C₂³×C₁₃	1	1	yes	characteristic
1087	#126	—	2	1	no	—
1088	#126	—	2	1	no	—
1089	#126	—	2	1	no	—
1090	#126	—	2	1	no	—
1091	#126	—	2	1	no	—
1092	#126	—	2	1	no	—
1093	#126	—	2	1	no	—
1094	#126	D₄×C₁₃	1	1	yes	characteristic
1095	#126	D₄×C₁₃	1	1	yes	characteristic
1096	#125	—	2	1	no	—
1097	#125	—	2	1	no	—
1098	#125	—	2	1	no	—
1099	#125	—	2	1	no	—
1100	#125	D₄×C₁₃	1	1	yes	characteristic
1101	#125	C₂³×C₁₃	1	1	yes	characteristic
1102	#125	C₂³×C₁₃	1	1	yes	characteristic
1103	#125	C₂³×C₁₃	1	1	yes	characteristic
1104	#125	C₂³×C₁₃	1	1	yes	characteristic
1105	#125	C₂³×C₁₃	1	1	yes	characteristic
1106	#124	—	2	1	no	—
1107	#124	—	2	1	no	—
1108	#124	—	2	1	no	—
1109	#124	—	2	1	no	—
1110	#124	—	2	1	no	—
1111	#124	—	2	1	no	—
1112	#124	—	2	1	no	—
1113	#124	—	2	1	no	—
1114	#124	—	2	1	no	—
1115	#124	—	2	1	no	—
1116	#124	D₄×C₁₃	1	1	yes	characteristic
1117	#124	C₂³×C₁₃	1	1	yes	characteristic
1118	#124	C₂³×C₁₃	1	1	yes	characteristic
1119	#124	C₂³×C₁₃	1	1	yes	characteristic
1120	#124	C₂³×C₁₃	1	1	yes	characteristic
1121	#124	C₂³×C₁₃	1	1	yes	characteristic
1122	#123	—	2	1	no	—
1123	#123	—	2	1	no	—
1124	#123	—	2	1	no	—
1125	#123	—	2	1	no	—
1126	#123	—	2	1	no	—
1127	#123	—	2	1	no	—
1128	#123	—	2	1	no	—
1129	#123	—	2	1	no	—
1130	#123	—	2	1	no	—
1131	#123	—	2	1	no	—
1132	#123	—	2	1	no	—
1133	#123	—	2	1	no	—
1134	#123	—	2	1	no	—
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	2	1	no	—
1140	#123	—	2	1	no	—
1141	#123	D₄×C₁₃	1	1	yes	characteristic
1142	#123	D₄×C₁₃	1	1	yes	characteristic
1143	C₂²⋊Q₈	—	2	1	no	—
1144	C₂²⋊Q₈	—	2	1	no	—
1145	C₂²⋊Q₈	—	2	1	no	—
1146	C₂²⋊Q₈	—	2	1	no	—
1147	C₂²⋊Q₈	—	2	1	no	—
1148	C₂²⋊Q₈	—	2	1	no	—
1149	C₂²⋊Q₈	—	2	1	no	—
1150	C₂²⋊Q₈	—	2	1	no	—
1151	C₂²⋊Q₈	—	2	1	no	—
1152	C₂²⋊Q₈	—	2	1	no	—
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	—	2	1	no	—
1161	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1162	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1163	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1165	#121	—	2	1	no	—
1166	#121	—	2	1	no	—
1167	#121	—	2	1	no	—
1168	#121	—	2	1	no	—
1169	#121	—	2	1	no	—
1170	#121	—	2	1	no	—
1171	#121	—	2	1	no	—
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	2	1	no	—
1186	#121	—	2	1	no	—
1187	#121	—	2	1	no	—
1188	#121	D₄×C₁₃	1	1	yes	characteristic
1189	#121	C₂³×C₁₃	1	1	yes	characteristic
1190	#121	C₂³×C₁₃	1	1	yes	characteristic
1191	#121	C₂³×C₁₃	1	1	yes	characteristic
1192	#121	C₂³×C₁₃	1	1	yes	characteristic
1193	#121	C₂³×C₁₃	1	1	yes	characteristic
1194	#121	C₂³×C₁₃	1	1	yes	characteristic
1195	#121	C₂³×C₁₃	1	1	yes	characteristic
1196	#121	C₂³×C₁₃	1	1	yes	characteristic
1197	#121	C₂³×C₁₃	1	1	yes	characteristic
1198	#120	—	2	1	no	—
1199	#120	—	2	1	no	—
1200	#120	—	2	1	no	—
1201	#120	—	2	1	no	—
1202	C₄×Q₈	—	2	1	no	—
1203	C₄×Q₈	—	2	1	no	—
1204	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1205	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1206	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1207	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1208	C₄×D₄	—	2	1	no	—
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	2	1	no	—
1218	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1219	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1220	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1221	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1222	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1223	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1224	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1225	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1226	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1227	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1228	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1229	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1230	#117	—	2	1	no	—
1231	#117	—	2	1	no	—
1232	#117	—	2	1	no	—
1233	#117	—	2	1	no	—
1234	#117	—	2	1	no	—
1235	#117	C₂³×C₁₃	1	1	yes	characteristic
1236	#117	C₂³×C₁₃	1	1	yes	characteristic
1237	#117	C₂³×C₁₃	1	1	yes	characteristic
1238	#117	C₂³×C₁₃	1	1	yes	characteristic
1239	#117	C₂³×C₁₃	1	1	yes	characteristic
1240	#117	C₂³×C₁₃	1	1	yes	characteristic
1241	C₂×C₄⋊C₄	—	2	1	no	—
1242	C₂×C₄⋊C₄	—	2	1	no	—
1243	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1244	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1245	C₂×C₂²⋊C₄	—	2	1	no	—
1246	C₂×C₂²⋊C₄	—	2	1	no	—
1247	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1248	#107	C₂³×C₁₃	1	1	yes	characteristic
1249	#107	C₂³×C₁₃	1	1	yes	characteristic
1250	#107	C₂³×C₁₃	1	1	yes	characteristic
1251	#107	C₂³×C₁₃	1	1	yes	characteristic
1252	#107	C₂³×C₁₃	1	1	yes	characteristic
1253	#107	C₂³×C₁₃	1	1	yes	characteristic
1254	#106	C₂³×C₁₃	1	1	yes	characteristic
1255	#106	C₂³×C₁₃	1	1	yes	characteristic
1256	#106	C₂³×C₁₃	1	1	yes	characteristic
1257	#106	C₂³×C₁₃	1	1	yes	characteristic
1258	#106	C₂³×C₁₃	1	1	yes	characteristic
1259	#106	C₂³×C₁₃	1	1	yes	characteristic
1260	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1261	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1262	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1263	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1264	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1265	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1266	#103	C₂³×C₁₃	1	1	yes	characteristic
1267	#103	C₂³×C₁₃	1	1	yes	characteristic
1268	#103	C₂³×C₁₃	1	1	yes	characteristic
1269	#103	C₂³×C₁₃	1	1	yes	characteristic
1270	#103	C₂³×C₁₃	1	1	yes	characteristic
1271	#103	C₂³×C₁₃	1	1	yes	characteristic
1272	#103	C₂³×C₁₃	1	1	yes	characteristic
1273	#103	C₂³×C₁₃	1	1	yes	characteristic
1274	#103	C₂³×C₁₃	1	1	yes	characteristic
1275	#103	C₂³×C₁₃	1	1	yes	characteristic
1276	#103	C₂³×C₁₃	1	1	yes	characteristic
1277	#103	C₂³×C₁₃	1	1	yes	characteristic
1278	#103	C₂³×C₁₃	1	1	yes	characteristic
1279	#103	C₂³×C₁₃	1	1	yes	characteristic
1280	#103	C₂³×C₁₃	1	1	yes	characteristic
1281	#103	C₂³×C₁₃	1	1	yes	characteristic
1282	#103	C₂³×C₁₃	1	1	yes	characteristic
1283	#103	C₂³×C₁₃	1	1	yes	characteristic
1284	#102	C₂³×C₁₃	1	1	yes	characteristic
1285	#102	C₂³×C₁₃	1	1	yes	characteristic
1286	#102	C₂³×C₁₃	1	1	yes	characteristic
1287	#102	C₂³×C₁₃	1	1	yes	characteristic
1288	#102	C₂³×C₁₃	1	1	yes	characteristic
1289	#102	C₂³×C₁₃	1	1	yes	characteristic
1290	#102	C₂³×C₁₃	1	1	yes	characteristic
1291	#102	C₂³×C₁₃	1	1	yes	characteristic
1292	#102	C₂³×C₁₃	1	1	yes	characteristic
1293	#102	C₂³×C₁₃	1	1	yes	characteristic
1294	#102	C₂³×C₁₃	1	1	yes	characteristic
1295	#102	C₂³×C₁₃	1	1	yes	characteristic
1296	#102	C₂³×C₁₃	1	1	yes	characteristic
1297	#102	C₂³×C₁₃	1	1	yes	characteristic
1298	#102	C₂³×C₁₃	1	1	yes	characteristic
1299	#102	C₂³×C₁₃	1	1	yes	characteristic
1300	#102	C₂³×C₁₃	1	1	yes	characteristic
1301	#102	C₂³×C₁₃	1	1	yes	characteristic
1302	#102	C₂³×C₁₃	1	1	yes	characteristic
1303	#102	C₂³×C₁₃	1	1	yes	characteristic
1304	#102	C₂³×C₁₃	1	1	yes	characteristic
1305	#102	C₂³×C₁₃	1	1	yes	characteristic
1306	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1307	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1308	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1309	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1310	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1311	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1312	#97	C₂³×C₁₃	1	1	yes	characteristic
1313	#97	C₂³×C₁₃	1	1	yes	characteristic
1314	#97	C₂³×C₁₃	1	1	yes	characteristic
1315	#97	C₂³×C₁₃	1	1	yes	characteristic
1316	#97	C₂³×C₁₃	1	1	yes	characteristic
1317	#97	C₂³×C₁₃	1	1	yes	characteristic
1318	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1319	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1320	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1321	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1322	C₂×C₁₃	—	4	1	no	—
1323	C₂×C₁₃	—	4	1	no	—
1324	C₂×C₁₃	—	4	1	no	—
1325	C₂×C₁₃	—	8	1	no	—
1326	C₂×C₁₃	—	8	1	no	—
1327	C₂×C₁₃	—	8	1	no	—
1328	C₂×C₁₃	—	8	1	no	—
1329	C₂×C₁₃	—	8	1	no	—
1330	C₂×C₁₃	#3500	1	1	yes	characteristic
1331	C₂×C₁₃	#3584	1	1	yes	characteristic
1332	C₂×C₁₃	#3585	1	1	yes	characteristic
1333	C₂⁴	—	2	1	no	—
1334	#41	—	4	1	no	—
1335	#41	—	4	1	no	—
1336	#41	—	4	1	no	—
1337	#41	—	4	1	no	—
1338	#41	—	4	1	no	—
1339	#41	—	4	1	no	—
1340	#41	—	4	1	no	—
1341	#41	—	4	1	no	—
1342	#41	—	8	2	no	—
1343	#41	—	8	2	no	—
1344	C₂×Q₈	—	2	1	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	—	2	1	no	—
1348	C₂×Q₈	—	2	1	no	—
1349	C₂×Q₈	—	2	1	no	—
1350	C₂×Q₈	—	4	1	no	—
1351	C₂×Q₈	—	4	1	no	—
1352	C₂×Q₈	—	8	2	no	—
1353	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1354	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1355	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1356	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	2	1	no	—
1363	C₂×D₄	—	2	1	no	—
1364	C₂×D₄	—	2	1	no	—
1365	C₂×D₄	—	2	1	no	—
1366	C₂×D₄	—	2	1	no	—
1367	C₂×D₄	—	2	1	no	—
1368	C₂×D₄	—	2	1	no	—
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	4	1	no	—
1378	C₂×D₄	—	4	1	no	—
1379	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1380	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1381	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1382	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1383	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1384	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1385	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1386	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	2	1	no	—
1389	C₂²×C₄	—	2	1	no	—
1390	C₂²×C₄	—	2	1	no	—
1391	C₂²×C₄	—	2	1	no	—
1392	C₂²×C₄	—	2	1	no	—
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	2	1	no	—
1401	C₂²×C₄	—	2	1	no	—
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1404	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1405	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1406	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1407	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1408	SD₁₆	—	4	1	no	—
1409	SD₁₆	—	4	1	no	—
1410	SD₁₆	—	4	1	no	—
1411	SD₁₆	—	4	1	no	—
1412	SD₁₆	—	4	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	D₈	—	4	1	no	—
1415	D₈	—	4	1	no	—
1416	D₈	—	4	1	no	—
1417	D₈	—	4	1	no	—
1418	D₈	—	4	1	no	—
1419	D₈	—	4	1	no	—
1420	M₁₆	—	4	1	no	—
1421	M₁₆	—	4	1	no	—
1422	C₂×C₈	—	4	1	no	—
1423	C₂×C₈	—	4	1	no	—
1424	C₂×C₈	—	4	1	no	—
1425	C₂×C₈	—	4	1	no	—
1426	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1427	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1428	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1429	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1430	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1431	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1432	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1433	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	1	no	—
1459	C₄⋊C₄	—	2	1	no	—
1460	C₄⋊C₄	—	2	1	no	—
1461	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1462	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1463	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1464	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1465	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1466	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1467	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1468	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1469	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1470	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1471	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1472	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1473	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1474	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1475	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1476	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1477	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1478	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	2	1	no	—
1484	C₂²⋊C₄	—	2	1	no	—
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	2	1	no	—
1504	C₂²⋊C₄	—	2	1	no	—
1505	C₂²⋊C₄	—	2	1	no	—
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1515	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1516	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1517	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1524	C₄²	—	2	1	no	—
1525	C₄²	—	2	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1532	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1533	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1534	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1535	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1536	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1537	C₁₃	#62601	1	1	yes	characteristic, direct product factor, Sylow
1538	C₂³	—	2	1	no	—
1539	C₂³	—	2	1	no	—
1540	C₂³	—	2	1	no	—
1541	C₂³	—	2	1	no	—
1542	C₂³	—	2	1	no	—
1543	C₂³	—	8	1	no	—
1544	C₂³	—	8	1	no	—
1545	C₂³	—	8	1	no	—
1546	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1547	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1548	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	2	1	no	—
1552	Q₈	—	2	1	no	—
1553	Q₈	—	2	1	no	—
1554	Q₈	—	2	1	no	—
1555	Q₈	—	4	1	no	—
1556	Q₈	—	4	2	no	—
1557	Q₈	—	8	1	no	—
1558	Q₈	—	8	1	no	—
1559	Q₈	—	8	1	no	—
1560	Q₈	—	8	1	no	—
1561	Q₈	—	8	1	no	—
1562	D₄	—	2	1	no	—
1563	D₄	—	2	1	no	—
1564	D₄	—	2	1	no	—
1565	D₄	—	2	1	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	2	1	no	—
1568	D₄	—	2	1	no	—
1569	D₄	—	2	1	no	—
1570	D₄	—	2	1	no	—
1571	D₄	—	2	1	no	—
1572	D₄	—	4	1	no	—
1573	D₄	—	4	1	no	—
1574	D₄	—	4	1	no	—
1575	D₄	—	8	1	no	—
1576	D₄	—	8	1	no	—
1577	D₄	—	8	1	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	8	1	no	—
1580	D₄	—	8	1	no	—
1581	D₄	—	8	1	no	—
1582	D₄	—	8	1	no	—
1583	D₄	—	8	1	no	—
1584	D₄	—	8	1	no	—
1585	D₄	—	8	1	no	—
1586	D₄	—	8	1	no	—
1587	D₄	—	8	1	no	—
1588	D₄	—	8	1	no	—
1589	D₄	—	8	1	no	—
1590	D₄	—	8	1	no	—
1591	D₄	—	8	1	no	—
1592	D₄	—	8	1	no	—
1593	D₄	—	8	1	no	—
1594	D₄	—	8	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	4	1	no	—
1613	C₂×C₄	—	4	1	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	—	4	2	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	8	1	no	—
1618	C₂×C₄	—	8	1	no	—
1619	C₂×C₄	—	8	1	no	—
1620	C₂×C₄	—	8	1	no	—
1621	C₂×C₄	—	8	1	no	—
1622	C₂×C₄	—	8	1	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	8	1	no	—
1626	C₂×C₄	—	8	1	no	—
1627	C₂×C₄	—	8	1	no	—
1628	C₂×C₄	—	8	1	no	—
1629	C₂×C₄	—	8	1	no	—
1630	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1631	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1632	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1633	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1634	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1635	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1636	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1637	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1638	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1639	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1640	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1641	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1642	C₈	—	2	1	no	—
1643	C₈	—	2	1	no	—
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	2	1	no	—
1648	C₈	—	2	1	no	—
1649	C₈	—	2	1	no	—
1650	C₂²	—	2	1	no	—
1651	C₂²	—	2	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	4	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	4	1	no	—
1664	C₂²	—	4	1	no	—
1665	C₂²	—	4	1	no	—
1666	C₂²	—	4	1	no	—
1667	C₂²	—	4	1	no	—
1668	C₂²	—	4	1	no	—
1669	C₂²	—	4	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	4	1	no	—
1674	C₂²	—	16	2	no	—
1675	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	1	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	C₁₃×#585	1	1	yes	characteristic
1699	C₄	C₁₃×#585	1	1	yes	characteristic
1700	C₂	—	4	1	no	—
1701	C₂	—	4	1	no	—
1702	C₂	—	4	1	no	—
1703	C₂	—	8	1	no	—
1704	C₂	—	8	1	no	—
1705	C₂	—	8	1	no	—
1706	C₂	—	8	1	no	—
1707	C₂	—	8	1	no	—
1708	C₂	C₁₃×#3500	1	1	yes	characteristic
1709	C₂	C₁₃×#3584	1	1	yes	characteristic
1710	C₂	C₁₃×#3585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₁₃×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3562	C₂	semidirect
2. C₁₃×#3547	C₂	semidirect
3. C₁₃×#3376	C₂	semidirect
4. C₁₃×#3373	C₂	semidirect
5. C₁₃×#3370	C₂	semidirect
6. C₁₃×#3367	C₂	semidirect
7. C₁₃×#3321	C₂	semidirect
8. C₁₃×#3321	C₂	semidirect
9. C₁₃×#3319	C₂	semidirect
10. C₁₃×#3319	C₂	semidirect
11. C₁₃×#3309	C₂	semidirect
12. C₁₃×#3308	C₂	semidirect
13. C₁₃×#3307	C₂	semidirect
14. C₁₃×#3306	C₂	semidirect
15. C₁₃×#3305	C₂	semidirect
16. C₁₃×#3303	C₂	semidirect
17. C₁₃×#3301	C₂	semidirect
18. C₁₃×#3297	C₂	semidirect
19. C₁₃×#3242	C₂	semidirect
20. C₁₃×#3241	C₂	semidirect
21. C₁₃×#3233	C₂	semidirect
22. C₁₃×#3221	C₂	semidirect
23. C₁₃×#3220	C₂	semidirect
24. C₁₃×#3207	C₂	semidirect
25. C₁₃×#3180	C₂	semidirect
26. C₁₃×#3176	C₂	semidirect
27. C₁₃×#3174	C₂	semidirect
28. C₁₃×#3137	C₂	semidirect
29. C₁₃×#3136	C₂	semidirect
30. C₁₃×#3135	C₂	semidirect
31. C₁₃×#2968	C₂	semidirect
40. C₁₃×#555	C₂²	semidirect
41. C₁₃×#554	C₂²	semidirect
44. C₁₃×#553	C₂²	semidirect
48. D₄×Q₈×C₁₃	C₂²	semidirect
57. C₁₃×#544	C₂²	semidirect
64. C₁₃×#540	C₂²	semidirect
72. C₁₃×#533	C₂²	semidirect
74. C₁₃×#532	C₂²	semidirect
77. C₁₃×#501	C₂²	semidirect
78. C₁₃×#499	C₂²	semidirect
79. C₁₃×#499	C₂²	semidirect
82. C₁₃×#492	C₂²	semidirect
83. C₁₃×#491	C₂²	semidirect
84. C₁₃×#491	C₂²	semidirect
85. C₁₃×#491	C₂²	semidirect
89. C₁₃×#490	C₂²	semidirect
95. C₁₃×#489	C₂²	semidirect
96. C₁₃×#489	C₂²	semidirect
101. C₁₃×#487	C₂²	semidirect
102. C₁₃×#487	C₂²	semidirect
107. C₁₃×#485	C₂²	semidirect
108. C₁₃×#485	C₂²	semidirect
114. C₁₃×#482	C₂²	semidirect
116. C₁₃×#480	C₂²	semidirect
117. C₁₃×#479	C₂²	semidirect
118. C₁₃×#479	C₂²	semidirect
120. C₁₃×#478	C₂²	semidirect
121. C₁₃×#477	C₂²	semidirect
122. C₁₃×#477	C₂²	semidirect
124. C₁₃×#476	C₂²	semidirect
125. C₁₃×#475	C₂²	semidirect
126. C₁₃×#475	C₂²	semidirect
130. C₁₃×#469	C₂²	semidirect
136. C₁₃×#466	C₂²	semidirect
139. C₁₃×#465	C₂²	semidirect
140. C₁₃×#465	C₂²	semidirect
147. C₁₃×#463	C₂²	semidirect
148. C₁₃×#463	C₂²	semidirect
149. C₁₃×#461	C₂²	semidirect
150. C₁₃×#461	C₂²	semidirect
159. C₁₃×#449	C₂²	semidirect
160. C₁₃×#449	C₂²	semidirect
161. C₁₃×#448	C₂²	semidirect
162. C₁₃×#448	C₂²	semidirect
165. C₁₃×#446	C₂²	semidirect
166. C₁₃×#446	C₂²	semidirect
170. C₁₃×#442	C₂²	semidirect
171. C₁₃×#440	C₂²	semidirect
172. C₁₃×#440	C₂²	semidirect
173. C₁₃×#440	C₂²	semidirect
174. C₁₃×#440	C₂²	semidirect
175. C₄×C₁₃×SD₁₆	C₂²	semidirect
176. C₄×C₁₃×SD₁₆	C₂²	semidirect
178. C₄×C₁₃×D₈	C₂²	semidirect
182. C₁₃×#435	C₂²	semidirect
184. C₈×D₄×C₁₃	C₂²	semidirect
186. C₁₃×#433	C₂²	semidirect
187. C₁₃×#431	C₂²	semidirect
188. C₁₃×#419	C₂²	semidirect
196. C₁₃×#416	C₂²	semidirect
197. C₁₃×#416	C₂²	semidirect
198. C₂×C₁₃×#103	C₂²	semidirect
201. C₁₃×#405	C₂²	semidirect
202. C₂×C₁₃×#97	C₂²	semidirect
478. #62601	C₁₃	direct (N × H)
683. #3562	C₂×C₁₃	semidirect
684. #3547	C₂×C₁₃	semidirect
685. #3376	C₂×C₁₃	semidirect
686. #3373	C₂×C₁₃	semidirect
687. #3370	C₂×C₁₃	semidirect
688. #3367	C₂×C₁₃	semidirect
689. #3321	C₂×C₁₃	semidirect
690. #3321	C₂×C₁₃	semidirect
691. #3319	C₂×C₁₃	semidirect
692. #3319	C₂×C₁₃	semidirect
693. #3309	C₂×C₁₃	semidirect
694. #3308	C₂×C₁₃	semidirect
695. #3307	C₂×C₁₃	semidirect
696. #3306	C₂×C₁₃	semidirect
697. #3305	C₂×C₁₃	semidirect
698. #3303	C₂×C₁₃	semidirect
699. #3301	C₂×C₁₃	semidirect
700. #3297	C₂×C₁₃	semidirect
701. #3242	C₂×C₁₃	semidirect
702. #3241	C₂×C₁₃	semidirect
703. #3233	C₂×C₁₃	semidirect
704. #3221	C₂×C₁₃	semidirect
705. #3220	C₂×C₁₃	semidirect
706. #3207	C₂×C₁₃	semidirect
707. #3180	C₂×C₁₃	semidirect
708. #3176	C₂×C₁₃	semidirect
709. #3174	C₂×C₁₃	semidirect
710. #3137	C₂×C₁₃	semidirect
711. #3136	C₂×C₁₃	semidirect
712. #3135	C₂×C₁₃	semidirect
713. #2968	C₂×C₁₃	semidirect
834. #555	C₂²×C₁₃	semidirect
835. #554	C₂²×C₁₃	semidirect
838. #553	C₂²×C₁₃	semidirect
842. D₄×Q₈	C₂²×C₁₃	semidirect
851. #544	C₂²×C₁₃	semidirect
858. #540	C₂²×C₁₃	semidirect
866. #533	C₂²×C₁₃	semidirect
868. #532	C₂²×C₁₃	semidirect
871. #501	C₂²×C₁₃	semidirect
872. #499	C₂²×C₁₃	semidirect
873. #499	C₂²×C₁₃	semidirect
876. #492	C₂²×C₁₃	semidirect
877. #491	C₂²×C₁₃	semidirect
878. #491	C₂²×C₁₃	semidirect
879. #491	C₂²×C₁₃	semidirect
883. #490	C₂²×C₁₃	semidirect
889. #489	C₂²×C₁₃	semidirect
890. #489	C₂²×C₁₃	semidirect
895. #487	C₂²×C₁₃	semidirect
896. #487	C₂²×C₁₃	semidirect
901. #485	C₂²×C₁₃	semidirect
902. #485	C₂²×C₁₃	semidirect
908. #482	C₂²×C₁₃	semidirect
910. #480	C₂²×C₁₃	semidirect
911. #479	C₂²×C₁₃	semidirect
912. #479	C₂²×C₁₃	semidirect
914. #478	C₂²×C₁₃	semidirect
915. #477	C₂²×C₁₃	semidirect
916. #477	C₂²×C₁₃	semidirect
918. #476	C₂²×C₁₃	semidirect
919. #475	C₂²×C₁₃	semidirect
920. #475	C₂²×C₁₃	semidirect
924. #469	C₂²×C₁₃	semidirect
930. #466	C₂²×C₁₃	semidirect
933. #465	C₂²×C₁₃	semidirect
934. #465	C₂²×C₁₃	semidirect
941. #463	C₂²×C₁₃	semidirect
942. #463	C₂²×C₁₃	semidirect
943. #461	C₂²×C₁₃	semidirect
944. #461	C₂²×C₁₃	semidirect
953. #449	C₂²×C₁₃	semidirect
954. #449	C₂²×C₁₃	semidirect
955. #448	C₂²×C₁₃	semidirect
956. #448	C₂²×C₁₃	semidirect
959. #446	C₂²×C₁₃	semidirect
960. #446	C₂²×C₁₃	semidirect
964. #442	C₂²×C₁₃	semidirect
965. #440	C₂²×C₁₃	semidirect
966. #440	C₂²×C₁₃	semidirect
967. #440	C₂²×C₁₃	semidirect
968. #440	C₂²×C₁₃	semidirect
969. C₄×SD₁₆	C₂²×C₁₃	semidirect
970. C₄×SD₁₆	C₂²×C₁₃	semidirect
972. C₄×D₈	C₂²×C₁₃	semidirect
976. #435	C₂²×C₁₃	semidirect
978. C₈×D₄	C₂²×C₁₃	semidirect
980. #433	C₂²×C₁₃	semidirect
981. #431	C₂²×C₁₃	semidirect
982. #419	C₂²×C₁₃	semidirect
990. #416	C₂²×C₁₃	semidirect
991. #416	C₂²×C₁₃	semidirect
992. C₂×#103	C₂²×C₁₃	semidirect
995. #405	C₂²×C₁₃	semidirect
996. C₂×#97	C₂²×C₁₃	semidirect
1537. C₁₃	#62601	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×#3562	2
C₁₃×#3547	2
C₁₃×#3376	2
C₁₃×#3373	2
C₁₃×#3370	2
C₁₃×#3367	2
C₁₃×#3321	2
C₁₃×#3319	2
C₁₃×#3309	2
C₁₃×#3308	2
C₁₃×#3307	2
C₁₃×#3306	2
C₁₃×#3305	2
C₁₃×#3303	2
C₁₃×#3301	2
C₁₃×#3297	2
C₁₃×#3242	2
C₁₃×#3241	2
C₁₃×#3233	2
C₁₃×#3221	2
C₁₃×#3220	2
C₁₃×#3207	2
C₁₃×#3180	2
C₁₃×#3176	2
C₁₃×#3174	2
C₁₃×#3137	2
C₁₃×#3136	2
C₁₃×#3135	2
C₁₃×#2968	2
#62601	13

Subgroups — C13×#62601 #15748940

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62601 #15748940