Subgroups — C₁₃×#62956 #15749295

Order 3328.

6346 conjugacy classes of subgroups.

The subgroup lattice has 1640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3565	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3563	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3557	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3556	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3555	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3555	C₂	1	4	yes	maximal, complemented
7	C₁₃×#3554	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3553	C₂	1	8	yes	maximal, complemented
9	C₁₃×#3552	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3552	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3523	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3516	C₂	1	4	yes	maximal, complemented
13	C₁₃×#3515	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3512	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3509	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3507	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3507	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3504	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3503	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3480	C₂	1	1	yes	maximal, characteristic, complemented
23	Q₈×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#557	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3461	C₂	1	2	yes	maximal, complemented
27	C₁₃×#564	C₂²	1	8	yes	—
28	C₁₃×#563	C₂²	1	8	yes	—
29	C₁₃×#563	C₂²	1	8	yes	—
30	C₁₃×#563	C₂²	1	8	yes	—
31	C₁₃×#563	C₂²	1	8	yes	—
32	C₁₃×#562	C₂²	1	8	yes	—
33	C₁₃×#559	C₂²	1	4	yes	—
34	C₁₃×#559	C₂²	1	2	yes	—
35	C₁₃×#559	C₂²	1	2	yes	—
36	C₁₃×#559	C₂²	1	1	yes	characteristic
37	Q₈²×C₁₃	C₂²	1	1	yes	characteristic
38	Q₈²×C₁₃	C₂²	1	2	yes	—
39	C₁₃×#557	C₂²	1	4	yes	—
40	C₁₃×#557	C₂²	1	2	yes	—
41	C₁₃×#557	C₂²	1	2	yes	—
42	C₁₃×#557	C₂²	1	2	yes	—
43	C₁₃×#557	C₂²	1	4	yes	—
44	C₁₃×#557	C₂²	1	2	yes	—
45	C₁₃×#557	C₂²	1	4	yes	—
46	C₁₃×#557	C₂²	1	4	yes	—
47	C₁₃×#557	C₂²	1	4	yes	—
48	C₁₃×#557	C₂²	1	1	yes	characteristic
49	C₁₃×#557	C₂²	1	4	yes	—
50	C₁₃×#557	C₂²	1	2	yes	—
51	C₁₃×#557	C₂²	1	2	yes	—
52	C₁₃×#557	C₂²	1	4	yes	—
53	C₁₃×#557	C₂²	1	2	yes	—
54	C₁₃×#557	C₂²	1	1	yes	characteristic
55	C₁₃×#556	C₂²	1	1	yes	characteristic
56	C₁₃×#556	C₂²	1	4	yes	—
57	C₁₃×#556	C₂²	1	4	yes	—
58	C₁₃×#556	C₂²	1	2	yes	—
59	C₁₃×#556	C₂²	1	2	yes	—
60	C₁₃×#556	C₂²	1	4	yes	—
61	C₁₃×#556	C₂²	1	4	yes	—
62	C₁₃×#556	C₂²	1	8	yes	—
63	C₁₃×#556	C₂²	1	4	yes	—
64	C₁₃×#556	C₂²	1	2	yes	—
65	C₁₃×#556	C₂²	1	4	yes	—
66	C₁₃×#555	C₂²	1	2	yes	—
67	C₁₃×#554	C₂²	1	8	yes	—
68	C₁₃×#554	C₂²	1	4	yes	—
69	C₁₃×#554	C₂²	1	4	yes	—
70	C₁₃×#554	C₂²	1	4	yes	—
71	C₁₃×#554	C₂²	1	8	yes	—
72	C₁₃×#554	C₂²	1	4	yes	—
73	C₁₃×#554	C₂²	1	2	yes	—
74	C₁₃×#554	C₂²	1	2	yes	—
75	C₁₃×#554	C₂²	1	4	yes	—
76	C₁₃×#554	C₂²	1	2	yes	—
77	C₁₃×#554	C₂²	1	2	yes	—
78	C₁₃×#554	C₂²	1	1	yes	characteristic
79	C₁₃×#554	C₂²	1	2	yes	—
80	C₁₃×#553	C₂²	1	8	yes	—
81	C₁₃×#553	C₂²	1	4	yes	—
82	C₁₃×#553	C₂²	1	4	yes	—
83	C₁₃×#553	C₂²	1	4	yes	—
84	C₁₃×#553	C₂²	1	8	yes	—
85	C₁₃×#553	C₂²	1	4	yes	—
86	C₁₃×#553	C₂²	1	2	yes	—
87	C₁₃×#552	C₂²	1	8	yes	—
88	C₁₃×#552	C₂²	1	4	yes	—
89	C₁₃×#552	C₂²	1	8	yes	—
90	C₁₃×#552	C₂²	1	8	yes	—
91	C₁₃×#552	C₂²	1	8	yes	—
92	C₁₃×#552	C₂²	1	4	yes	—
93	C₁₃×#552	C₂²	1	8	yes	—
94	C₁₃×#552	C₂²	1	4	yes	—
95	C₁₃×#552	C₂²	1	4	yes	—
96	C₁₃×#552	C₂²	1	4	yes	—
97	C₁₃×#552	C₂²	1	4	yes	—
98	C₁₃×#550	C₂²	1	1	yes	characteristic
99	D₄×Q₈×C₁₃	C₂²	1	4	yes	—
100	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
101	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
102	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
103	D₄×Q₈×C₁₃	C₂²	1	4	yes	—
104	C₁₃×#548	C₂²	1	2	yes	—
105	C₁₃×#548	C₂²	1	4	yes	—
106	C₁₃×#548	C₂²	1	4	yes	—
107	C₁₃×#547	C₂²	1	4	yes	—
108	C₁₃×#547	C₂²	1	2	yes	—
109	C₁₃×#544	C₂²	1	8	yes	—
110	C₁₃×#544	C₂²	1	4	yes	—
111	C₁₃×#544	C₂²	1	4	yes	—
112	C₁₃×#544	C₂²	1	4	yes	—
113	C₁₃×#544	C₂²	1	2	yes	—
114	C₁₃×#544	C₂²	1	1	yes	characteristic
115	C₁₃×#542	C₂²	1	8	yes	—
116	C₁₃×#542	C₂²	1	4	yes	—
117	C₁₃×#542	C₂²	1	4	yes	—
118	C₁₃×#542	C₂²	1	4	yes	—
119	C₁₃×#542	C₂²	1	4	yes	—
120	C₁₃×#542	C₂²	1	2	yes	—
121	C₁₃×#542	C₂²	1	8	yes	—
122	C₁₃×#542	C₂²	1	2	yes	—
123	C₁₃×#541	C₂²	1	4	yes	—
124	C₁₃×#541	C₂²	1	8	yes	—
125	C₁₃×#541	C₂²	1	4	yes	—
126	C₁₃×#541	C₂²	1	4	yes	—
127	C₁₃×#541	C₂²	1	8	yes	—
128	C₁₃×#541	C₂²	1	8	yes	—
129	C₁₃×#541	C₂²	1	8	yes	—
130	C₁₃×#541	C₂²	1	2	yes	—
131	C₁₃×#541	C₂²	1	4	yes	—
132	C₁₃×#541	C₂²	1	4	yes	—
133	C₁₃×#541	C₂²	1	8	yes	—
134	C₁₃×#541	C₂²	1	4	yes	—
135	C₁₃×#541	C₂²	1	2	yes	—
136	C₁₃×#540	C₂²	1	4	yes	—
137	C₁₃×#539	C₂²	1	8	yes	—
138	C₁₃×#539	C₂²	1	8	yes	—
139	C₁₃×#539	C₂²	1	8	yes	—
140	C₁₃×#539	C₂²	1	4	yes	—
141	C₁₃×#539	C₂²	1	4	yes	—
142	C₁₃×#539	C₂²	1	8	yes	—
143	C₁₃×#539	C₂²	1	8	yes	—
144	C₁₃×#539	C₂²	1	8	yes	—
145	C₁₃×#537	C₂²	1	2	yes	—
146	C₁₃×#537	C₂²	1	1	yes	characteristic
147	C₁₃×#536	C₂²	1	4	yes	—
148	C₁₃×#536	C₂²	1	4	yes	—
149	C₁₃×#536	C₂²	1	1	yes	characteristic
150	C₁₃×#536	C₂²	1	1	yes	characteristic
151	C₁₃×#536	C₂²	1	2	yes	—
152	C₁₃×#533	C₂²	1	4	yes	—
153	C₁₃×#533	C₂²	1	2	yes	—
154	C₁₃×#533	C₂²	1	2	yes	—
155	C₁₃×#533	C₂²	1	4	yes	—
156	C₁₃×#533	C₂²	1	2	yes	—
157	C₁₃×#533	C₂²	1	2	yes	—
158	C₁₃×#533	C₂²	1	2	yes	—
159	C₁₃×#533	C₂²	1	4	yes	—
160	C₁₃×#533	C₂²	1	4	yes	—
161	C₁₃×#533	C₂²	1	1	yes	characteristic
162	C₁₃×#533	C₂²	1	2	yes	—
163	C₁₃×#532	C₂²	1	2	yes	—
164	C₁₃×#532	C₂²	1	1	yes	characteristic
165	C₁₃×#532	C₂²	1	2	yes	—
166	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
167	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	—
168	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
169	C₁₃×#529	C₂²	1	2	yes	—
170	C₁₃×#529	C₂²	1	4	yes	—
171	C₁₃×#529	C₂²	1	2	yes	—
172	C₁₃×#529	C₂²	1	2	yes	—
173	C₁₃×#529	C₂²	1	4	yes	—
174	C₁₃×#529	C₂²	1	4	yes	—
175	C₁₃×#529	C₂²	1	8	yes	—
176	C₁₃×#529	C₂²	1	8	yes	—
177	C₁₃×#529	C₂²	1	4	yes	—
178	C₁₃×#529	C₂²	1	4	yes	—
179	C₁₃×#529	C₂²	1	4	yes	—
180	C₁₃×#529	C₂²	1	4	yes	—
181	C₂×C₁₃×#125	C₂²	1	4	yes	—
182	C₂×C₁₃×#125	C₂²	1	4	yes	—
183	C₂×C₁₃×#125	C₂²	1	2	yes	—
184	C₁₃×#520	C₂²	1	2	yes	—
185	C₁₃×#520	C₂²	1	2	yes	—
186	C₁₃×#520	C₂²	1	2	yes	—
187	C₁₃×#520	C₂²	1	4	yes	—
188	C₁₃×#519	C₂²	1	4	yes	—
189	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
190	C₄×C₁₃×#41	C₂²	1	2	yes	—
191	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
192	C₄×C₁₃×#41	C₂²	1	2	yes	—
193	C₄×C₁₃×#41	C₂²	1	2	yes	—
194	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
195	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
196	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
197	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
198	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	—
199	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
200	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×#41	C₂³	1	2	yes	—
202	C₂×C₁₃×#41	C₂³	1	2	yes	—
203	C₂×C₁₃×#41	C₂³	1	4	yes	—
204	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
207	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
208	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
209	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
210	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
211	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
212	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
213	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
214	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
215	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
216	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
217	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
219	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
222	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
223	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
224	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
226	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
227	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
228	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
229	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
230	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
231	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
232	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
233	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
234	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
235	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
236	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
237	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
238	C₁₃×#127	C₂³	1	1	yes	characteristic
239	C₁₃×#127	C₂³	1	2	yes	—
240	C₁₃×#126	C₂³	1	4	yes	—
241	C₁₃×#126	C₂³	1	8	yes	—
242	C₁₃×#126	C₂³	1	8	yes	—
243	C₁₃×#126	C₂³	1	8	yes	—
244	C₁₃×#126	C₂³	1	8	yes	—
245	C₁₃×#126	C₂³	1	4	yes	—
246	C₁₃×#126	C₂³	1	8	yes	—
247	C₁₃×#126	C₂³	1	8	yes	—
248	C₁₃×#126	C₂³	1	4	yes	—
249	C₁₃×#126	C₂³	1	8	yes	—
250	C₁₃×#126	C₂³	1	8	yes	—
251	C₁₃×#126	C₂³	1	4	yes	—
252	C₁₃×#126	C₂³	1	4	yes	—
253	C₁₃×#126	C₂³	1	4	yes	—
254	C₁₃×#126	C₂³	1	8	yes	—
255	C₁₃×#126	C₂³	1	4	yes	—
256	C₁₃×#126	C₂³	1	8	yes	—
257	C₁₃×#126	C₂³	1	8	yes	—
258	C₁₃×#126	C₂³	1	8	yes	—
259	C₁₃×#126	C₂³	1	8	yes	—
260	C₁₃×#126	C₂³	1	8	yes	—
261	C₁₃×#126	C₂³	1	8	yes	—
262	C₁₃×#125	C₂³	1	2	yes	—
263	C₁₃×#125	C₂³	1	2	yes	—
264	C₁₃×#125	C₂³	1	4	yes	—
265	C₁₃×#125	C₂³	1	4	yes	—
266	C₁₃×#125	C₂³	1	4	yes	—
267	C₁₃×#125	C₂³	1	8	yes	—
268	C₁₃×#125	C₂³	1	8	yes	—
269	C₁₃×#125	C₂³	1	8	yes	—
270	C₁₃×#125	C₂³	1	8	yes	—
271	C₁₃×#125	C₂³	1	8	yes	—
272	C₁₃×#125	C₂³	1	4	yes	—
273	C₁₃×#125	C₂³	1	8	yes	—
274	C₁₃×#125	C₂³	1	4	yes	—
275	C₁₃×#125	C₂³	1	4	yes	—
276	C₁₃×#125	C₂³	1	4	yes	—
277	C₁₃×#125	C₂³	1	8	yes	—
278	C₁₃×#125	C₂³	1	2	yes	—
279	C₁₃×#125	C₂³	1	4	yes	—
280	C₁₃×#125	C₂³	1	8	yes	—
281	C₁₃×#125	C₂³	1	2	yes	—
282	C₁₃×#125	C₂³	1	4	yes	—
283	C₁₃×#125	C₂³	1	2	yes	—
284	C₁₃×#125	C₂³	1	4	yes	—
285	C₁₃×#125	C₂³	1	4	yes	—
286	C₁₃×#125	C₂³	1	8	yes	—
287	C₁₃×#125	C₂³	1	4	yes	—
288	C₁₃×#125	C₂³	1	8	yes	—
289	C₁₃×#125	C₂³	1	4	yes	—
290	C₁₃×#125	C₂³	1	4	yes	—
291	C₁₃×#125	C₂³	1	4	yes	—
292	C₁₃×#125	C₂³	1	2	yes	—
293	C₁₃×#125	C₂³	1	8	yes	—
294	C₁₃×#125	C₂³	1	8	yes	—
295	C₁₃×#125	C₂³	1	8	yes	—
296	C₁₃×#125	C₂³	1	8	yes	—
297	C₁₃×#125	C₂³	1	8	yes	—
298	C₁₃×#125	C₂³	1	8	yes	—
299	C₁₃×#125	C₂³	1	8	yes	—
300	C₁₃×#125	C₂³	1	8	yes	—
301	C₁₃×#124	C₂³	1	2	yes	—
302	C₁₃×#124	C₂³	1	2	yes	—
303	C₁₃×#124	C₂³	1	2	yes	—
304	C₁₃×#124	C₂³	1	2	yes	—
305	C₁₃×#124	C₂³	1	4	yes	—
306	C₁₃×#124	C₂³	1	2	yes	—
307	C₁₃×#124	C₂³	1	4	yes	—
308	C₁₃×#124	C₂³	1	4	yes	—
309	C₁₃×#124	C₂³	1	8	yes	—
310	C₁₃×#124	C₂³	1	4	yes	—
311	C₁₃×#124	C₂³	1	8	yes	—
312	C₁₃×#124	C₂³	1	4	yes	—
313	C₁₃×#124	C₂³	1	2	yes	—
314	C₁₃×#124	C₂³	1	8	yes	—
315	C₁₃×#123	C₂³	1	4	yes	—
316	C₁₃×#123	C₂³	1	4	yes	—
317	C₁₃×#123	C₂³	1	8	yes	—
318	C₁₃×#123	C₂³	1	8	yes	—
319	C₁₃×#123	C₂³	1	8	yes	—
320	C₁₃×#123	C₂³	1	4	yes	—
321	C₁₃×#123	C₂³	1	4	yes	—
322	C₁₃×#123	C₂³	1	4	yes	—
323	C₁₃×#123	C₂³	1	8	yes	—
324	C₁₃×#123	C₂³	1	8	yes	—
325	C₁₃×#123	C₂³	1	4	yes	—
326	C₁₃×#123	C₂³	1	4	yes	—
327	C₁₃×#123	C₂³	1	8	yes	—
328	C₁₃×#123	C₂³	1	8	yes	—
329	C₁₃×#123	C₂³	1	8	yes	—
330	C₁₃×#123	C₂³	1	8	yes	—
331	C₁₃×#123	C₂³	1	8	yes	—
332	C₁₃×#123	C₂³	1	8	yes	—
333	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
334	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
335	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
337	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
339	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
340	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
341	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
342	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
343	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
344	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
345	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
346	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
348	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
349	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
350	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
351	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
352	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
353	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
354	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
355	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
356	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
357	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
358	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
359	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
360	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
361	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
362	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
363	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
364	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
365	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
366	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
367	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
368	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
369	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
370	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
371	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
372	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
373	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
374	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
375	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
376	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
377	C₁₃×#121	C₂³	1	2	yes	—
378	C₁₃×#121	C₂³	1	4	yes	—
379	C₁₃×#121	C₂³	1	2	yes	—
380	C₁₃×#121	C₂³	1	4	yes	—
381	C₁₃×#121	C₂³	1	8	yes	—
382	C₁₃×#121	C₂³	1	4	yes	—
383	C₁₃×#121	C₂³	1	4	yes	—
384	C₁₃×#121	C₂³	1	2	yes	—
385	C₁₃×#121	C₂³	1	4	yes	—
386	C₁₃×#121	C₂³	1	2	yes	—
387	C₁₃×#121	C₂³	1	4	yes	—
388	C₁₃×#121	C₂³	1	2	yes	—
389	C₁₃×#121	C₂³	1	4	yes	—
390	C₁₃×#121	C₂³	1	8	yes	—
391	C₁₃×#121	C₂³	1	8	yes	—
392	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
393	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
394	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
395	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
396	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
397	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
398	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
399	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
400	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
401	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
402	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
403	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
404	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
405	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
406	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
407	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
408	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
409	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
410	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
411	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
412	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
413	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
414	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
415	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
416	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
417	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
418	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
419	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
420	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
421	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
422	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
423	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
424	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
425	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
426	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
427	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
428	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
429	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
430	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
431	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
432	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
433	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
434	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
435	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
436	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
437	C₄×D₄×C₁₃	C₂³	1	2	yes	—
438	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
439	C₄×D₄×C₁₃	C₂³	1	2	yes	—
440	C₄×D₄×C₁₃	C₂³	1	2	yes	—
441	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
442	C₄×D₄×C₁₃	C₂³	1	2	yes	—
443	C₄×D₄×C₁₃	C₂³	1	4	yes	—
444	C₄×D₄×C₁₃	C₂³	1	4	yes	—
445	C₄×D₄×C₁₃	C₂³	1	2	yes	—
446	C₄×D₄×C₁₃	C₂³	1	2	yes	—
447	C₄×D₄×C₁₃	C₂³	1	4	yes	—
448	C₄×D₄×C₁₃	C₂³	1	4	yes	—
449	C₄×D₄×C₁₃	C₂³	1	4	yes	—
450	C₄×D₄×C₁₃	C₂³	1	4	yes	—
451	C₄×D₄×C₁₃	C₂³	1	2	yes	—
452	C₄×D₄×C₁₃	C₂³	1	2	yes	—
453	C₄×D₄×C₁₃	C₂³	1	2	yes	—
454	C₄×D₄×C₁₃	C₂³	1	2	yes	—
455	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
456	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
457	C₄×D₄×C₁₃	C₂³	1	8	yes	—
458	C₄×D₄×C₁₃	C₂³	1	8	yes	—
459	C₄×D₄×C₁₃	C₂³	1	8	yes	—
460	C₄×D₄×C₁₃	C₂³	1	8	yes	—
461	C₄×D₄×C₁₃	C₂³	1	8	yes	—
462	C₄×D₄×C₁₃	C₂³	1	4	yes	—
463	C₄×D₄×C₁₃	C₂³	1	4	yes	—
464	C₄×D₄×C₁₃	C₂³	1	4	yes	—
465	C₄×D₄×C₁₃	C₂³	1	4	yes	—
466	C₄×D₄×C₁₃	C₂³	1	4	yes	—
467	C₄×D₄×C₁₃	C₂³	1	2	yes	—
468	C₄×D₄×C₁₃	C₂³	1	4	yes	—
469	C₄×D₄×C₁₃	C₂³	1	8	yes	—
470	C₄×D₄×C₁₃	C₂³	1	8	yes	—
471	C₄×D₄×C₁₃	C₂³	1	4	yes	—
472	C₁₃×#117	C₂³	1	1	yes	characteristic
473	C₁₃×#117	C₂³	1	2	yes	—
474	C₁₃×#117	C₂³	1	1	yes	characteristic
475	C₁₃×#117	C₂³	1	2	yes	—
476	C₁₃×#117	C₂³	1	2	yes	—
477	C₁₃×#117	C₂³	1	4	yes	—
478	C₁₃×#117	C₂³	1	4	yes	—
479	C₁₃×#117	C₂³	1	2	yes	—
480	C₁₃×#117	C₂³	1	4	yes	—
481	C₁₃×#117	C₂³	1	4	yes	—
482	C₁₃×#117	C₂³	1	8	yes	—
483	C₁₃×#117	C₂³	1	8	yes	—
484	C₁₃×#117	C₂³	1	4	yes	—
485	C₁₃×#117	C₂³	1	8	yes	—
486	C₁₃×#117	C₂³	1	4	yes	—
487	C₁₃×#117	C₂³	1	4	yes	—
488	C₁₃×#117	C₂³	1	4	yes	—
489	C₁₃×#117	C₂³	1	8	yes	—
490	C₁₃×#117	C₂³	1	8	yes	—
491	C₁₃×#117	C₂³	1	8	yes	—
492	C₁₃×#117	C₂³	1	8	yes	—
493	C₁₃×#117	C₂³	1	4	yes	—
494	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
495	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
496	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
497	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
498	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
499	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
500	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
501	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
502	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
503	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
504	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
505	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
506	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
507	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
508	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
509	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
510	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
511	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
512	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
513	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
514	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
515	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
516	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
517	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
518	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
519	#62956	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
520	C₁₃×#41	—	2	4	no	—
521	C₁₃×#41	—	2	4	no	—
522	C₁₃×#41	—	2	8	no	—
523	C₁₃×#41	—	4	4	no	—
524	C₁₃×#41	—	4	8	no	—
525	C₂×Q₈×C₁₃	—	2	4	no	—
526	C₂×Q₈×C₁₃	—	4	2	no	—
527	C₂×Q₈×C₁₃	—	4	4	no	—
528	C₂×Q₈×C₁₃	—	4	8	no	—
529	C₂×Q₈×C₁₃	—	4	4	no	—
530	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
531	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
533	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
534	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
536	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
537	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
538	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
540	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
541	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
542	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
543	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
544	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
545	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
546	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
547	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
548	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
549	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
552	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
553	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
554	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
555	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
556	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
557	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
558	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
559	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
561	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
562	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
563	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
564	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
565	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
566	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
568	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
569	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
570	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
571	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
572	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
573	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
574	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
575	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
576	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
577	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
578	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
579	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
581	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
583	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
584	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
585	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
586	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
587	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
588	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
589	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
590	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
591	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
592	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
593	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
594	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
595	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
596	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
597	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
598	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
599	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
600	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
601	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
602	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
603	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
604	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
605	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
606	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
607	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
608	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
610	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
611	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
612	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
613	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
614	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
615	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
616	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
617	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
618	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
619	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
620	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
621	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
622	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
623	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
624	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
625	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
626	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
629	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
630	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
631	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
632	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
633	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
634	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
635	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
636	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
637	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
638	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
639	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
640	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
641	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
642	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
643	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
644	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
645	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
646	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
647	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
648	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
649	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
650	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
651	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
652	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
653	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
654	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
655	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
656	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
657	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
658	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
659	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
660	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
661	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
662	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
663	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
664	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
665	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
666	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
667	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
668	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
669	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
670	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
671	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
672	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
673	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
674	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
675	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
676	C₄²×C₁₃	C₂⁴	1	2	yes	—
677	C₄²×C₁₃	C₂⁴	1	2	yes	—
678	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
679	C₄²×C₁₃	C₂⁴	1	2	yes	—
680	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
681	C₄²×C₁₃	C₂⁴	1	8	yes	—
682	C₄²×C₁₃	C₂⁴	1	4	yes	—
683	C₄²×C₁₃	C₂⁴	1	4	yes	—
684	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
685	C₄²×C₁₃	C₂⁴	1	2	yes	—
686	C₄²×C₁₃	C₂⁴	1	4	yes	—
687	C₄²×C₁₃	C₂⁴	1	2	yes	—
688	C₄²×C₁₃	C₂⁴	1	2	yes	—
689	C₄²×C₁₃	C₂⁴	1	4	yes	—
690	C₄²×C₁₃	C₂⁴	1	2	yes	—
691	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
692	C₄²×C₁₃	C₂⁴	1	2	yes	—
693	C₄²×C₁₃	C₂⁴	1	4	yes	—
694	C₄²×C₁₃	C₂⁴	1	2	yes	—
695	C₄²×C₁₃	C₂⁴	1	4	yes	—
696	C₄²×C₁₃	C₂⁴	1	2	yes	—
697	C₄²×C₁₃	C₂⁴	1	4	yes	—
698	C₄²×C₁₃	C₂⁴	1	8	yes	—
699	C₄²×C₁₃	C₂⁴	1	8	yes	—
700	C₄²×C₁₃	C₂⁴	1	8	yes	—
701	C₄²×C₁₃	C₂⁴	1	8	yes	—
702	#3565	C₂×C₁₃	1	4	yes	complemented
703	#3563	C₂×C₁₃	1	4	yes	complemented
704	#3557	C₂×C₁₃	1	4	yes	complemented
705	#3556	C₂×C₁₃	1	2	yes	complemented
706	#3555	C₂×C₁₃	1	2	yes	complemented
707	#3555	C₂×C₁₃	1	4	yes	complemented
708	#3554	C₂×C₁₃	1	2	yes	complemented
709	#3553	C₂×C₁₃	1	8	yes	complemented
710	#3552	C₂×C₁₃	1	2	yes	complemented
711	#3552	C₂×C₁₃	1	4	yes	complemented
712	#3523	C₂×C₁₃	1	2	yes	complemented
713	#3516	C₂×C₁₃	1	4	yes	complemented
714	#3515	C₂×C₁₃	1	2	yes	complemented
715	#3512	C₂×C₁₃	1	2	yes	complemented
716	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
717	#3509	C₂×C₁₃	1	2	yes	complemented
718	#3507	C₂×C₁₃	1	2	yes	complemented
719	#3507	C₂×C₁₃	1	1	yes	characteristic, complemented
720	#3507	C₂×C₁₃	1	2	yes	complemented
721	#3504	C₂×C₁₃	1	2	yes	complemented
722	#3503	C₂×C₁₃	1	1	yes	characteristic, complemented
723	#3480	C₂×C₁₃	1	1	yes	characteristic, complemented
724	Q₈×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
725	C₂×#557	C₂×C₁₃	1	1	yes	characteristic, complemented
726	#3461	C₂×C₁₃	1	1	yes	characteristic, complemented
727	#3461	C₂×C₁₃	1	2	yes	complemented
728	C₂³×C₁₃	C₂⁵	1	2	yes	—
729	C₂³×C₁₃	C₂⁵	1	2	yes	—
730	C₂³×C₁₃	C₂⁵	1	4	yes	—
731	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
732	Q₈×C₁₃	—	2	4	no	—
733	Q₈×C₁₃	—	2	4	no	—
734	Q₈×C₁₃	—	2	2	no	—
735	Q₈×C₁₃	—	2	4	no	—
736	Q₈×C₁₃	—	2	2	no	—
737	Q₈×C₁₃	—	2	2	no	—
738	Q₈×C₁₃	—	2	4	no	—
739	Q₈×C₁₃	—	2	8	no	—
740	Q₈×C₁₃	—	2	2	no	—
741	Q₈×C₁₃	—	4	4	no	—
742	Q₈×C₁₃	—	4	8	no	—
743	Q₈×C₁₃	—	4	2	no	—
744	Q₈×C₁₃	—	4	4	no	—
745	Q₈×C₁₃	—	4	4	no	—
746	Q₈×C₁₃	—	4	2	no	—
747	Q₈×C₁₃	—	4	4	no	—
748	D₄×C₁₃	—	2	4	no	—
749	D₄×C₁₃	—	2	4	no	—
750	D₄×C₁₃	—	2	8	no	—
751	D₄×C₁₃	—	2	2	no	—
752	D₄×C₁₃	—	2	2	no	—
753	D₄×C₁₃	—	2	4	no	—
754	D₄×C₁₃	—	2	4	no	—
755	D₄×C₁₃	—	4	2	no	—
756	D₄×C₁₃	—	4	4	no	—
757	D₄×C₁₃	—	4	4	no	—
758	D₄×C₁₃	—	4	4	no	—
759	D₄×C₁₃	—	4	8	no	—
760	C₂×C₄×C₁₃	—	2	4	no	—
761	C₂×C₄×C₁₃	—	2	8	no	—
762	C₂×C₄×C₁₃	—	2	4	no	—
763	C₂×C₄×C₁₃	—	2	4	no	—
764	C₂×C₄×C₁₃	—	2	2	no	—
765	C₂×C₄×C₁₃	—	2	4	no	—
766	C₂×C₄×C₁₃	—	2	4	no	—
767	C₂×C₄×C₁₃	—	4	4	no	—
768	C₂×C₄×C₁₃	—	4	4	no	—
769	C₂×C₄×C₁₃	—	4	2	no	—
770	C₂×C₄×C₁₃	—	4	1	no	—
771	C₂×C₄×C₁₃	—	4	2	no	—
772	C₂×C₄×C₁₃	—	4	2	no	—
773	C₂×C₄×C₁₃	—	4	8	no	—
774	C₂×C₄×C₁₃	—	4	2	no	—
775	C₂×C₄×C₁₃	—	4	2	no	—
776	C₂×C₄×C₁₃	—	4	4	no	—
777	C₂×C₄×C₁₃	—	4	8	no	—
778	C₂×C₄×C₁₃	—	4	4	no	—
779	C₂×C₄×C₁₃	—	4	8	no	—
780	C₂×C₄×C₁₃	—	4	4	no	—
781	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
782	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
783	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
784	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
785	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
786	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
787	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
788	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
789	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
790	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
791	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
792	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
793	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
794	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
795	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
796	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
797	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
798	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
799	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
800	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
801	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
802	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
803	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
804	#564	C₂²×C₁₃	1	8	yes	—
805	#563	C₂²×C₁₃	1	8	yes	—
806	#563	C₂²×C₁₃	1	8	yes	—
807	#563	C₂²×C₁₃	1	8	yes	—
808	#563	C₂²×C₁₃	1	8	yes	—
809	#562	C₂²×C₁₃	1	8	yes	—
810	#559	C₂²×C₁₃	1	1	yes	characteristic
811	#559	C₂²×C₁₃	1	2	yes	—
812	#559	C₂²×C₁₃	1	2	yes	—
813	#559	C₂²×C₁₃	1	4	yes	—
814	Q₈²	C₂²×C₁₃	1	1	yes	characteristic
815	Q₈²	C₂²×C₁₃	1	2	yes	—
816	#557	C₂²×C₁₃	1	2	yes	—
817	#557	C₂²×C₁₃	1	2	yes	—
818	#557	C₂²×C₁₃	1	2	yes	—
819	#557	C₂²×C₁₃	1	2	yes	—
820	#557	C₂²×C₁₃	1	4	yes	—
821	#557	C₂²×C₁₃	1	4	yes	—
822	#557	C₂²×C₁₃	1	1	yes	characteristic
823	#557	C₂²×C₁₃	1	2	yes	—
824	#557	C₂²×C₁₃	1	1	yes	characteristic
825	#557	C₂²×C₁₃	1	2	yes	—
826	#557	C₂²×C₁₃	1	4	yes	—
827	#557	C₂²×C₁₃	1	4	yes	—
828	#557	C₂²×C₁₃	1	2	yes	—
829	#557	C₂²×C₁₃	1	4	yes	—
830	#557	C₂²×C₁₃	1	4	yes	—
831	#557	C₂²×C₁₃	1	4	yes	—
832	#556	C₂²×C₁₃	1	1	yes	characteristic
833	#556	C₂²×C₁₃	1	2	yes	—
834	#556	C₂²×C₁₃	1	4	yes	—
835	#556	C₂²×C₁₃	1	4	yes	—
836	#556	C₂²×C₁₃	1	2	yes	—
837	#556	C₂²×C₁₃	1	4	yes	—
838	#556	C₂²×C₁₃	1	4	yes	—
839	#556	C₂²×C₁₃	1	4	yes	—
840	#556	C₂²×C₁₃	1	4	yes	—
841	#556	C₂²×C₁₃	1	2	yes	—
842	#556	C₂²×C₁₃	1	8	yes	—
843	#555	C₂²×C₁₃	1	2	yes	—
844	#554	C₂²×C₁₃	1	1	yes	characteristic
845	#554	C₂²×C₁₃	1	2	yes	—
846	#554	C₂²×C₁₃	1	4	yes	—
847	#554	C₂²×C₁₃	1	2	yes	—
848	#554	C₂²×C₁₃	1	4	yes	—
849	#554	C₂²×C₁₃	1	2	yes	—
850	#554	C₂²×C₁₃	1	4	yes	—
851	#554	C₂²×C₁₃	1	8	yes	—
852	#554	C₂²×C₁₃	1	8	yes	—
853	#554	C₂²×C₁₃	1	4	yes	—
854	#554	C₂²×C₁₃	1	2	yes	—
855	#554	C₂²×C₁₃	1	4	yes	—
856	#554	C₂²×C₁₃	1	2	yes	—
857	#553	C₂²×C₁₃	1	2	yes	—
858	#553	C₂²×C₁₃	1	4	yes	—
859	#553	C₂²×C₁₃	1	4	yes	—
860	#553	C₂²×C₁₃	1	4	yes	—
861	#553	C₂²×C₁₃	1	8	yes	—
862	#553	C₂²×C₁₃	1	8	yes	—
863	#553	C₂²×C₁₃	1	4	yes	—
864	#552	C₂²×C₁₃	1	4	yes	—
865	#552	C₂²×C₁₃	1	4	yes	—
866	#552	C₂²×C₁₃	1	8	yes	—
867	#552	C₂²×C₁₃	1	4	yes	—
868	#552	C₂²×C₁₃	1	4	yes	—
869	#552	C₂²×C₁₃	1	8	yes	—
870	#552	C₂²×C₁₃	1	4	yes	—
871	#552	C₂²×C₁₃	1	4	yes	—
872	#552	C₂²×C₁₃	1	8	yes	—
873	#552	C₂²×C₁₃	1	8	yes	—
874	#552	C₂²×C₁₃	1	8	yes	—
875	#550	C₂²×C₁₃	1	1	yes	characteristic
876	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
877	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
878	D₄×Q₈	C₂²×C₁₃	1	4	yes	—
879	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
880	D₄×Q₈	C₂²×C₁₃	1	4	yes	—
881	#548	C₂²×C₁₃	1	2	yes	—
882	#548	C₂²×C₁₃	1	4	yes	—
883	#548	C₂²×C₁₃	1	4	yes	—
884	#547	C₂²×C₁₃	1	2	yes	—
885	#547	C₂²×C₁₃	1	4	yes	—
886	#544	C₂²×C₁₃	1	2	yes	—
887	#544	C₂²×C₁₃	1	1	yes	characteristic
888	#544	C₂²×C₁₃	1	4	yes	—
889	#544	C₂²×C₁₃	1	4	yes	—
890	#544	C₂²×C₁₃	1	4	yes	—
891	#544	C₂²×C₁₃	1	8	yes	—
892	#542	C₂²×C₁₃	1	4	yes	—
893	#542	C₂²×C₁₃	1	4	yes	—
894	#542	C₂²×C₁₃	1	2	yes	—
895	#542	C₂²×C₁₃	1	2	yes	—
896	#542	C₂²×C₁₃	1	4	yes	—
897	#542	C₂²×C₁₃	1	4	yes	—
898	#542	C₂²×C₁₃	1	8	yes	—
899	#542	C₂²×C₁₃	1	8	yes	—
900	#541	C₂²×C₁₃	1	2	yes	—
901	#541	C₂²×C₁₃	1	4	yes	—
902	#541	C₂²×C₁₃	1	4	yes	—
903	#541	C₂²×C₁₃	1	2	yes	—
904	#541	C₂²×C₁₃	1	8	yes	—
905	#541	C₂²×C₁₃	1	4	yes	—
906	#541	C₂²×C₁₃	1	4	yes	—
907	#541	C₂²×C₁₃	1	4	yes	—
908	#541	C₂²×C₁₃	1	8	yes	—
909	#541	C₂²×C₁₃	1	4	yes	—
910	#541	C₂²×C₁₃	1	8	yes	—
911	#541	C₂²×C₁₃	1	8	yes	—
912	#541	C₂²×C₁₃	1	8	yes	—
913	#540	C₂²×C₁₃	1	4	yes	—
914	#539	C₂²×C₁₃	1	8	yes	—
915	#539	C₂²×C₁₃	1	4	yes	—
916	#539	C₂²×C₁₃	1	8	yes	—
917	#539	C₂²×C₁₃	1	4	yes	—
918	#539	C₂²×C₁₃	1	8	yes	—
919	#539	C₂²×C₁₃	1	8	yes	—
920	#539	C₂²×C₁₃	1	8	yes	—
921	#539	C₂²×C₁₃	1	8	yes	—
922	#537	C₂²×C₁₃	1	2	yes	—
923	#537	C₂²×C₁₃	1	1	yes	characteristic
924	#536	C₂²×C₁₃	1	1	yes	characteristic
925	#536	C₂²×C₁₃	1	1	yes	characteristic
926	#536	C₂²×C₁₃	1	2	yes	—
927	#536	C₂²×C₁₃	1	4	yes	—
928	#536	C₂²×C₁₃	1	4	yes	—
929	#533	C₂²×C₁₃	1	2	yes	—
930	#533	C₂²×C₁₃	1	2	yes	—
931	#533	C₂²×C₁₃	1	4	yes	—
932	#533	C₂²×C₁₃	1	4	yes	—
933	#533	C₂²×C₁₃	1	1	yes	characteristic
934	#533	C₂²×C₁₃	1	2	yes	—
935	#533	C₂²×C₁₃	1	2	yes	—
936	#533	C₂²×C₁₃	1	4	yes	—
937	#533	C₂²×C₁₃	1	2	yes	—
938	#533	C₂²×C₁₃	1	4	yes	—
939	#533	C₂²×C₁₃	1	2	yes	—
940	#532	C₂²×C₁₃	1	1	yes	characteristic
941	#532	C₂²×C₁₃	1	2	yes	—
942	#532	C₂²×C₁₃	1	2	yes	—
943	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
944	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
945	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	—
946	#529	C₂²×C₁₃	1	4	yes	—
947	#529	C₂²×C₁₃	1	2	yes	—
948	#529	C₂²×C₁₃	1	4	yes	—
949	#529	C₂²×C₁₃	1	4	yes	—
950	#529	C₂²×C₁₃	1	8	yes	—
951	#529	C₂²×C₁₃	1	2	yes	—
952	#529	C₂²×C₁₃	1	2	yes	—
953	#529	C₂²×C₁₃	1	4	yes	—
954	#529	C₂²×C₁₃	1	4	yes	—
955	#529	C₂²×C₁₃	1	4	yes	—
956	#529	C₂²×C₁₃	1	8	yes	—
957	#529	C₂²×C₁₃	1	4	yes	—
958	C₂×#125	C₂²×C₁₃	1	2	yes	—
959	C₂×#125	C₂²×C₁₃	1	4	yes	—
960	C₂×#125	C₂²×C₁₃	1	4	yes	—
961	#520	C₂²×C₁₃	1	2	yes	—
962	#520	C₂²×C₁₃	1	2	yes	—
963	#520	C₂²×C₁₃	1	2	yes	—
964	#520	C₂²×C₁₃	1	4	yes	—
965	#519	C₂²×C₁₃	1	4	yes	—
966	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
967	C₄×#41	C₂²×C₁₃	1	2	yes	—
968	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
969	C₄×#41	C₂²×C₁₃	1	2	yes	—
970	C₄×#41	C₂²×C₁₃	1	2	yes	—
971	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
972	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
973	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
974	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
975	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	—
976	C₂²×C₁₃	—	2	1	no	—
977	C₂²×C₁₃	—	2	1	no	—
978	C₂²×C₁₃	—	2	2	no	—
979	C₂²×C₁₃	—	2	2	no	—
980	C₂²×C₁₃	—	2	4	no	—
981	C₂²×C₁₃	—	2	2	no	—
982	C₂²×C₁₃	—	2	2	no	—
983	C₂²×C₁₃	—	2	4	no	—
984	C₂²×C₁₃	—	2	2	no	—
985	C₂²×C₁₃	—	2	4	no	—
986	C₂²×C₁₃	—	2	2	no	—
987	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
988	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
989	C₄×C₁₃	—	2	4	no	—
990	C₄×C₁₃	—	2	2	no	—
991	C₄×C₁₃	—	2	2	no	—
992	C₄×C₁₃	—	2	4	no	—
993	C₄×C₁₃	—	2	2	no	—
994	C₄×C₁₃	—	2	2	no	—
995	C₄×C₁₃	—	2	1	no	—
996	C₄×C₁₃	—	2	2	no	—
997	C₄×C₁₃	—	2	8	no	—
998	C₄×C₁₃	—	2	2	no	—
999	C₄×C₁₃	—	2	4	no	—
1000	C₄×C₁₃	—	2	2	no	—
1001	C₄×C₁₃	—	2	1	no	—
1002	C₄×C₁₃	—	2	4	no	—
1003	C₄×C₁₃	—	2	2	no	—
1004	C₄×C₁₃	—	2	4	no	—
1005	C₄×C₁₃	—	2	1	no	—
1006	C₄×C₁₃	—	2	2	no	—
1007	C₄×C₁₃	—	2	2	no	—
1008	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1009	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1010	C₄×C₁₃	#585	1	2	yes	—
1011	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂×#41	C₂³×C₁₃	1	2	yes	—
1014	C₂×#41	C₂³×C₁₃	1	2	yes	—
1015	C₂×#41	C₂³×C₁₃	1	4	yes	—
1016	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1017	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1018	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1019	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1020	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1021	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1022	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1023	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1024	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1025	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1026	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1027	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1028	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1029	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1030	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1031	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1032	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1033	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1034	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1035	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1036	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1037	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1038	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1039	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1040	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1041	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1042	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1043	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1044	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1045	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1046	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1047	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1048	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1049	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1050	#127	C₂³×C₁₃	1	1	yes	characteristic
1051	#127	C₂³×C₁₃	1	2	yes	—
1052	#126	C₂³×C₁₃	1	4	yes	—
1053	#126	C₂³×C₁₃	1	8	yes	—
1054	#126	C₂³×C₁₃	1	8	yes	—
1055	#126	C₂³×C₁₃	1	8	yes	—
1056	#126	C₂³×C₁₃	1	8	yes	—
1057	#126	C₂³×C₁₃	1	4	yes	—
1058	#126	C₂³×C₁₃	1	8	yes	—
1059	#126	C₂³×C₁₃	1	8	yes	—
1060	#126	C₂³×C₁₃	1	4	yes	—
1061	#126	C₂³×C₁₃	1	8	yes	—
1062	#126	C₂³×C₁₃	1	8	yes	—
1063	#126	C₂³×C₁₃	1	4	yes	—
1064	#126	C₂³×C₁₃	1	4	yes	—
1065	#126	C₂³×C₁₃	1	4	yes	—
1066	#126	C₂³×C₁₃	1	8	yes	—
1067	#126	C₂³×C₁₃	1	4	yes	—
1068	#126	C₂³×C₁₃	1	8	yes	—
1069	#126	C₂³×C₁₃	1	8	yes	—
1070	#126	C₂³×C₁₃	1	8	yes	—
1071	#126	C₂³×C₁₃	1	8	yes	—
1072	#126	C₂³×C₁₃	1	8	yes	—
1073	#126	C₂³×C₁₃	1	8	yes	—
1074	#125	C₂³×C₁₃	1	2	yes	—
1075	#125	C₂³×C₁₃	1	2	yes	—
1076	#125	C₂³×C₁₃	1	4	yes	—
1077	#125	C₂³×C₁₃	1	4	yes	—
1078	#125	C₂³×C₁₃	1	4	yes	—
1079	#125	C₂³×C₁₃	1	8	yes	—
1080	#125	C₂³×C₁₃	1	8	yes	—
1081	#125	C₂³×C₁₃	1	8	yes	—
1082	#125	C₂³×C₁₃	1	8	yes	—
1083	#125	C₂³×C₁₃	1	8	yes	—
1084	#125	C₂³×C₁₃	1	4	yes	—
1085	#125	C₂³×C₁₃	1	8	yes	—
1086	#125	C₂³×C₁₃	1	4	yes	—
1087	#125	C₂³×C₁₃	1	4	yes	—
1088	#125	C₂³×C₁₃	1	4	yes	—
1089	#125	C₂³×C₁₃	1	8	yes	—
1090	#125	C₂³×C₁₃	1	2	yes	—
1091	#125	C₂³×C₁₃	1	4	yes	—
1092	#125	C₂³×C₁₃	1	8	yes	—
1093	#125	C₂³×C₁₃	1	2	yes	—
1094	#125	C₂³×C₁₃	1	4	yes	—
1095	#125	C₂³×C₁₃	1	2	yes	—
1096	#125	C₂³×C₁₃	1	4	yes	—
1097	#125	C₂³×C₁₃	1	4	yes	—
1098	#125	C₂³×C₁₃	1	8	yes	—
1099	#125	C₂³×C₁₃	1	4	yes	—
1100	#125	C₂³×C₁₃	1	8	yes	—
1101	#125	C₂³×C₁₃	1	4	yes	—
1102	#125	C₂³×C₁₃	1	4	yes	—
1103	#125	C₂³×C₁₃	1	4	yes	—
1104	#125	C₂³×C₁₃	1	2	yes	—
1105	#125	C₂³×C₁₃	1	8	yes	—
1106	#125	C₂³×C₁₃	1	8	yes	—
1107	#125	C₂³×C₁₃	1	8	yes	—
1108	#125	C₂³×C₁₃	1	8	yes	—
1109	#125	C₂³×C₁₃	1	8	yes	—
1110	#125	C₂³×C₁₃	1	8	yes	—
1111	#125	C₂³×C₁₃	1	8	yes	—
1112	#125	C₂³×C₁₃	1	8	yes	—
1113	#124	C₂³×C₁₃	1	2	yes	—
1114	#124	C₂³×C₁₃	1	2	yes	—
1115	#124	C₂³×C₁₃	1	2	yes	—
1116	#124	C₂³×C₁₃	1	2	yes	—
1117	#124	C₂³×C₁₃	1	4	yes	—
1118	#124	C₂³×C₁₃	1	2	yes	—
1119	#124	C₂³×C₁₃	1	4	yes	—
1120	#124	C₂³×C₁₃	1	4	yes	—
1121	#124	C₂³×C₁₃	1	8	yes	—
1122	#124	C₂³×C₁₃	1	4	yes	—
1123	#124	C₂³×C₁₃	1	8	yes	—
1124	#124	C₂³×C₁₃	1	4	yes	—
1125	#124	C₂³×C₁₃	1	2	yes	—
1126	#124	C₂³×C₁₃	1	8	yes	—
1127	#123	C₂³×C₁₃	1	4	yes	—
1128	#123	C₂³×C₁₃	1	4	yes	—
1129	#123	C₂³×C₁₃	1	8	yes	—
1130	#123	C₂³×C₁₃	1	8	yes	—
1131	#123	C₂³×C₁₃	1	8	yes	—
1132	#123	C₂³×C₁₃	1	4	yes	—
1133	#123	C₂³×C₁₃	1	4	yes	—
1134	#123	C₂³×C₁₃	1	4	yes	—
1135	#123	C₂³×C₁₃	1	8	yes	—
1136	#123	C₂³×C₁₃	1	8	yes	—
1137	#123	C₂³×C₁₃	1	4	yes	—
1138	#123	C₂³×C₁₃	1	4	yes	—
1139	#123	C₂³×C₁₃	1	8	yes	—
1140	#123	C₂³×C₁₃	1	8	yes	—
1141	#123	C₂³×C₁₃	1	8	yes	—
1142	#123	C₂³×C₁₃	1	8	yes	—
1143	#123	C₂³×C₁₃	1	8	yes	—
1144	#123	C₂³×C₁₃	1	8	yes	—
1145	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1146	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1147	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1148	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1149	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1150	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1151	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1152	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1153	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1154	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1155	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1156	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1157	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1158	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1159	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1160	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1161	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1162	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1163	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1164	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1165	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1166	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1167	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1168	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1169	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1170	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1171	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1172	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1173	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1174	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1175	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1176	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1177	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1178	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1179	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1180	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1181	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1182	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1183	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1184	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1185	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1186	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1187	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1188	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1189	#121	C₂³×C₁₃	1	2	yes	—
1190	#121	C₂³×C₁₃	1	4	yes	—
1191	#121	C₂³×C₁₃	1	2	yes	—
1192	#121	C₂³×C₁₃	1	4	yes	—
1193	#121	C₂³×C₁₃	1	8	yes	—
1194	#121	C₂³×C₁₃	1	4	yes	—
1195	#121	C₂³×C₁₃	1	4	yes	—
1196	#121	C₂³×C₁₃	1	2	yes	—
1197	#121	C₂³×C₁₃	1	4	yes	—
1198	#121	C₂³×C₁₃	1	2	yes	—
1199	#121	C₂³×C₁₃	1	4	yes	—
1200	#121	C₂³×C₁₃	1	2	yes	—
1201	#121	C₂³×C₁₃	1	4	yes	—
1202	#121	C₂³×C₁₃	1	8	yes	—
1203	#121	C₂³×C₁₃	1	8	yes	—
1204	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1205	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1206	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1207	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1208	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1209	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1210	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1211	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1212	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1213	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1214	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1215	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1216	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1217	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1218	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1219	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1220	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1221	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1222	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1223	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1224	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1225	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1226	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1227	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1228	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1229	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1230	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1231	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1232	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1233	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1234	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1235	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1236	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1237	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1238	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1239	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1240	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1241	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1242	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1243	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1244	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1245	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1246	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1247	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1248	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1249	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1250	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1251	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1252	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1253	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1254	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1255	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1256	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1257	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1258	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1259	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1260	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1261	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1262	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1263	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1264	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1265	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1266	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1267	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1268	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1269	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1270	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1271	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1272	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1273	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1274	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1275	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1276	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1277	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1278	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1279	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1280	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1281	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1282	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1283	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1284	#117	C₂³×C₁₃	1	1	yes	characteristic
1285	#117	C₂³×C₁₃	1	2	yes	—
1286	#117	C₂³×C₁₃	1	1	yes	characteristic
1287	#117	C₂³×C₁₃	1	2	yes	—
1288	#117	C₂³×C₁₃	1	2	yes	—
1289	#117	C₂³×C₁₃	1	4	yes	—
1290	#117	C₂³×C₁₃	1	4	yes	—
1291	#117	C₂³×C₁₃	1	2	yes	—
1292	#117	C₂³×C₁₃	1	4	yes	—
1293	#117	C₂³×C₁₃	1	4	yes	—
1294	#117	C₂³×C₁₃	1	8	yes	—
1295	#117	C₂³×C₁₃	1	8	yes	—
1296	#117	C₂³×C₁₃	1	4	yes	—
1297	#117	C₂³×C₁₃	1	8	yes	—
1298	#117	C₂³×C₁₃	1	4	yes	—
1299	#117	C₂³×C₁₃	1	4	yes	—
1300	#117	C₂³×C₁₃	1	4	yes	—
1301	#117	C₂³×C₁₃	1	8	yes	—
1302	#117	C₂³×C₁₃	1	8	yes	—
1303	#117	C₂³×C₁₃	1	8	yes	—
1304	#117	C₂³×C₁₃	1	8	yes	—
1305	#117	C₂³×C₁₃	1	4	yes	—
1306	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1307	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1308	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1309	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1310	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1311	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1312	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1313	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1314	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1315	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1316	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1317	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1318	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1319	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1320	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1321	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1322	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1323	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1324	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1325	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1326	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1327	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1328	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1329	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1330	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1331	C₂×C₁₃	—	2	2	no	—
1332	C₂×C₁₃	—	4	2	no	—
1333	C₂×C₁₃	—	4	2	no	—
1334	C₂×C₁₃	—	4	4	no	—
1335	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1336	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1337	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
1338	#41	—	2	4	no	—
1339	#41	—	2	4	no	—
1340	#41	—	2	8	no	—
1341	#41	—	4	4	no	—
1342	#41	—	4	8	no	—
1343	C₂×Q₈	—	2	4	no	—
1344	C₂×Q₈	—	4	2	no	—
1345	C₂×Q₈	—	4	4	no	—
1346	C₂×Q₈	—	4	8	no	—
1347	C₂×Q₈	—	4	4	no	—
1348	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1349	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1350	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1351	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1352	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1353	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1354	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1355	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1356	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1357	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1358	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1359	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1360	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1361	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1362	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1363	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1364	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1365	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1366	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1367	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1368	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1369	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1370	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1371	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1372	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1373	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1374	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1375	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1376	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1377	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1378	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1379	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1380	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1381	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1382	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1383	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1384	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1385	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1386	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1387	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1388	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1389	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1390	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1391	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1392	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1393	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1394	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1395	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1396	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1397	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1398	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1399	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1400	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1401	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1402	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1403	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1404	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1405	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1406	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1407	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1408	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1409	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1410	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1411	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1412	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1413	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1414	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1415	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1416	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1417	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1418	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1419	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1420	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1421	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1422	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1423	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1424	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1425	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1426	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1427	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1428	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1429	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1430	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1431	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1432	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1433	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1434	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1435	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1436	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1437	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1438	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1439	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1440	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1441	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1442	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1443	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1444	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1445	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1446	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1447	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1448	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1449	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1450	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1451	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1452	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1453	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1454	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1455	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1456	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1457	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1458	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1459	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1460	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1461	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1462	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1463	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1464	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1465	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1466	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1467	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1468	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1469	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1470	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1471	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1472	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1473	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1474	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1475	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1476	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1477	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1478	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1479	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1480	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1481	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1482	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1483	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1484	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1485	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1486	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1487	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1488	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1489	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1490	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1491	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1492	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1493	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1494	C₄²	C₂⁴×C₁₃	1	2	yes	—
1495	C₄²	C₂⁴×C₁₃	1	2	yes	—
1496	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1497	C₄²	C₂⁴×C₁₃	1	2	yes	—
1498	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1499	C₄²	C₂⁴×C₁₃	1	8	yes	—
1500	C₄²	C₂⁴×C₁₃	1	4	yes	—
1501	C₄²	C₂⁴×C₁₃	1	4	yes	—
1502	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1503	C₄²	C₂⁴×C₁₃	1	2	yes	—
1504	C₄²	C₂⁴×C₁₃	1	4	yes	—
1505	C₄²	C₂⁴×C₁₃	1	2	yes	—
1506	C₄²	C₂⁴×C₁₃	1	2	yes	—
1507	C₄²	C₂⁴×C₁₃	1	4	yes	—
1508	C₄²	C₂⁴×C₁₃	1	2	yes	—
1509	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1510	C₄²	C₂⁴×C₁₃	1	2	yes	—
1511	C₄²	C₂⁴×C₁₃	1	4	yes	—
1512	C₄²	C₂⁴×C₁₃	1	2	yes	—
1513	C₄²	C₂⁴×C₁₃	1	4	yes	—
1514	C₄²	C₂⁴×C₁₃	1	2	yes	—
1515	C₄²	C₂⁴×C₁₃	1	4	yes	—
1516	C₄²	C₂⁴×C₁₃	1	8	yes	—
1517	C₄²	C₂⁴×C₁₃	1	8	yes	—
1518	C₄²	C₂⁴×C₁₃	1	8	yes	—
1519	C₄²	C₂⁴×C₁₃	1	8	yes	—
1520	C₁₃	#62956	1	1	yes	characteristic, direct product factor, Sylow
1521	C₂³	C₂⁵×C₁₃	1	2	yes	—
1522	C₂³	C₂⁵×C₁₃	1	2	yes	—
1523	C₂³	C₂⁵×C₁₃	1	4	yes	—
1524	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1525	Q₈	—	2	4	no	—
1526	Q₈	—	2	4	no	—
1527	Q₈	—	2	2	no	—
1528	Q₈	—	2	4	no	—
1529	Q₈	—	2	2	no	—
1530	Q₈	—	2	2	no	—
1531	Q₈	—	2	4	no	—
1532	Q₈	—	2	8	no	—
1533	Q₈	—	2	2	no	—
1534	Q₈	—	4	4	no	—
1535	Q₈	—	4	8	no	—
1536	Q₈	—	4	2	no	—
1537	Q₈	—	4	4	no	—
1538	Q₈	—	4	4	no	—
1539	Q₈	—	4	2	no	—
1540	Q₈	—	4	4	no	—
1541	D₄	—	2	4	no	—
1542	D₄	—	2	4	no	—
1543	D₄	—	2	8	no	—
1544	D₄	—	2	2	no	—
1545	D₄	—	2	2	no	—
1546	D₄	—	2	4	no	—
1547	D₄	—	2	4	no	—
1548	D₄	—	4	2	no	—
1549	D₄	—	4	4	no	—
1550	D₄	—	4	4	no	—
1551	D₄	—	4	4	no	—
1552	D₄	—	4	8	no	—
1553	C₂×C₄	—	2	4	no	—
1554	C₂×C₄	—	2	8	no	—
1555	C₂×C₄	—	2	4	no	—
1556	C₂×C₄	—	2	4	no	—
1557	C₂×C₄	—	2	2	no	—
1558	C₂×C₄	—	2	4	no	—
1559	C₂×C₄	—	2	4	no	—
1560	C₂×C₄	—	4	4	no	—
1561	C₂×C₄	—	4	4	no	—
1562	C₂×C₄	—	4	2	no	—
1563	C₂×C₄	—	4	1	no	—
1564	C₂×C₄	—	4	2	no	—
1565	C₂×C₄	—	4	2	no	—
1566	C₂×C₄	—	4	8	no	—
1567	C₂×C₄	—	4	2	no	—
1568	C₂×C₄	—	4	2	no	—
1569	C₂×C₄	—	4	4	no	—
1570	C₂×C₄	—	4	8	no	—
1571	C₂×C₄	—	4	4	no	—
1572	C₂×C₄	—	4	8	no	—
1573	C₂×C₄	—	4	4	no	—
1574	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
1575	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1576	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1577	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1578	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1579	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1580	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1581	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1582	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1583	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1584	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1585	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1586	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1587	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1588	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1589	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1590	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1591	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1592	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1593	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1594	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1595	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1596	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	2	no	—
1600	C₂²	—	2	2	no	—
1601	C₂²	—	2	4	no	—
1602	C₂²	—	2	2	no	—
1603	C₂²	—	2	2	no	—
1604	C₂²	—	2	4	no	—
1605	C₂²	—	2	2	no	—
1606	C₂²	—	2	4	no	—
1607	C₂²	—	2	2	no	—
1608	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1609	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1610	C₄	—	2	4	no	—
1611	C₄	—	2	2	no	—
1612	C₄	—	2	2	no	—
1613	C₄	—	2	4	no	—
1614	C₄	—	2	2	no	—
1615	C₄	—	2	2	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	2	no	—
1618	C₄	—	2	8	no	—
1619	C₄	—	2	2	no	—
1620	C₄	—	2	4	no	—
1621	C₄	—	2	2	no	—
1622	C₄	—	2	1	no	—
1623	C₄	—	2	4	no	—
1624	C₄	—	2	2	no	—
1625	C₄	—	2	4	no	—
1626	C₄	—	2	1	no	—
1627	C₄	—	2	2	no	—
1628	C₄	—	2	2	no	—
1629	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1630	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1631	C₄	C₁₃×#585	1	2	yes	—
1632	C₂	—	2	2	no	—
1633	C₂	—	4	2	no	—
1634	C₂	—	4	2	no	—
1635	C₂	—	4	4	no	—
1636	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1637	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1638	C₂	C₁₃×2₋¹⁺⁶	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂⁶
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3565	C₂	semidirect
2. C₁₃×#3563	C₂	semidirect
3. C₁₃×#3557	C₂	semidirect
4. C₁₃×#3556	C₂	semidirect
5. C₁₃×#3555	C₂	semidirect
6. C₁₃×#3555	C₂	semidirect
7. C₁₃×#3554	C₂	semidirect
8. C₁₃×#3553	C₂	semidirect
9. C₁₃×#3552	C₂	semidirect
10. C₁₃×#3552	C₂	semidirect
11. C₁₃×#3523	C₂	semidirect
12. C₁₃×#3516	C₂	semidirect
13. C₁₃×#3515	C₂	semidirect
14. C₁₃×#3512	C₂	semidirect
15. C₁₃×#3511	C₂	semidirect
16. C₁₃×#3509	C₂	semidirect
17. C₁₃×#3507	C₂	semidirect
18. C₁₃×#3507	C₂	semidirect
19. C₁₃×#3507	C₂	semidirect
20. C₁₃×#3504	C₂	semidirect
21. C₁₃×#3503	C₂	semidirect
22. C₁₃×#3480	C₂	semidirect
23. Q₈×C₁₃×#41	C₂	semidirect
24. C₂×C₁₃×#557	C₂	semidirect
25. C₁₃×#3461	C₂	semidirect
26. C₁₃×#3461	C₂	semidirect
519. #62956	C₁₃	direct (N × H)
702. #3565	C₂×C₁₃	semidirect
703. #3563	C₂×C₁₃	semidirect
704. #3557	C₂×C₁₃	semidirect
705. #3556	C₂×C₁₃	semidirect
706. #3555	C₂×C₁₃	semidirect
707. #3555	C₂×C₁₃	semidirect
708. #3554	C₂×C₁₃	semidirect
709. #3553	C₂×C₁₃	semidirect
710. #3552	C₂×C₁₃	semidirect
711. #3552	C₂×C₁₃	semidirect
712. #3523	C₂×C₁₃	semidirect
713. #3516	C₂×C₁₃	semidirect
714. #3515	C₂×C₁₃	semidirect
715. #3512	C₂×C₁₃	semidirect
716. #3511	C₂×C₁₃	semidirect
717. #3509	C₂×C₁₃	semidirect
718. #3507	C₂×C₁₃	semidirect
719. #3507	C₂×C₁₃	semidirect
720. #3507	C₂×C₁₃	semidirect
721. #3504	C₂×C₁₃	semidirect
722. #3503	C₂×C₁₃	semidirect
723. #3480	C₂×C₁₃	semidirect
724. Q₈×#41	C₂×C₁₃	semidirect
725. C₂×#557	C₂×C₁₃	semidirect
726. #3461	C₂×C₁₃	semidirect
727. #3461	C₂×C₁₃	semidirect
1520. C₁₃	#62956	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×#3565	2
C₁₃×#3563	2
C₁₃×#3557	2
C₁₃×#3556	2
C₁₃×#3555	2
C₁₃×#3554	2
C₁₃×#3553	2
C₁₃×#3552	2
C₁₃×#3523	2
C₁₃×#3516	2
C₁₃×#3515	2
C₁₃×#3512	2
C₁₃×#3511	2
C₁₃×#3509	2
C₁₃×#3507	2
C₁₃×#3504	2
C₁₃×#3503	2
C₁₃×#3480	2
Q₈×C₁₃×#41	2
C₂×C₁₃×#557	2
C₁₃×#3461	2
#62956	13

Subgroups — C13×#62956 #15749295

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62956 #15749295