Subgroups — C₁₃×#62831 #15749170

Order 3328.

6528 conjugacy classes of subgroups.

The subgroup lattice has 1718 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×#3564	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3557	C₂	1	4	yes	maximal, complemented
4	C₁₃×#3555	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3554	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3552	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3544	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3535	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3523	C₂	1	2	yes	maximal, complemented
10	C₁₃×#3522	C₂	1	2	yes	maximal, complemented
11	C₁₃×#3520	C₂	1	4	yes	maximal, complemented
12	C₁₃×#3518	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3515	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3515	C₂	1	2	yes	maximal, complemented
15	C₁₃×#3510	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3507	C₂	1	4	yes	maximal, complemented
18	C₁₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3504	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3502	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3501	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3495	C₂	1	2	yes	maximal, complemented
23	C₁₃×#3495	C₂	1	4	yes	maximal, complemented
24	C₁₃×#3494	C₂	1	2	yes	maximal, complemented
25	C₁₃×#3444	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×C₁₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#563	C₂²	1	8	yes	complemented
29	C₁₃×#563	C₂²	1	8	yes	complemented
30	C₁₃×#563	C₂²	1	8	yes	complemented
31	C₁₃×#562	C₂²	1	8	yes	complemented
32	C₁₃×#559	C₂²	1	2	yes	complemented
33	C₁₃×#559	C₂²	1	4	yes	complemented
34	C₁₃×#559	C₂²	1	4	yes	complemented
35	C₁₃×#559	C₂²	1	4	yes	complemented
36	Q₈²×C₁₃	C₂²	1	2	yes	complemented
37	Q₈²×C₁₃	C₂²	1	2	yes	complemented
38	C₁₃×#557	C₂²	1	2	yes	complemented
39	C₁₃×#557	C₂²	1	2	yes	complemented
40	C₁₃×#557	C₂²	1	4	yes	complemented
41	C₁₃×#557	C₂²	1	2	yes	complemented
42	C₁₃×#557	C₂²	1	4	yes	complemented
43	C₁₃×#557	C₂²	1	4	yes	complemented
44	C₁₃×#557	C₂²	1	4	yes	complemented
45	C₁₃×#556	C₂²	1	4	yes	complemented
46	C₁₃×#556	C₂²	1	2	yes	complemented
47	C₁₃×#556	C₂²	1	8	yes	complemented
48	C₁₃×#556	C₂²	1	4	yes	complemented
49	C₁₃×#556	C₂²	1	2	yes	complemented
50	C₁₃×#556	C₂²	1	4	yes	complemented
51	C₁₃×#556	C₂²	1	4	yes	complemented
52	C₁₃×#556	C₂²	1	4	yes	complemented
53	C₁₃×#556	C₂²	1	8	yes	complemented
54	C₁₃×#555	C₂²	1	4	yes	—
55	C₁₃×#555	C₂²	1	2	yes	complemented
56	C₁₃×#554	C₂²	1	8	yes	—
57	C₁₃×#554	C₂²	1	8	yes	—
58	C₁₃×#554	C₂²	1	2	yes	complemented
59	C₁₃×#554	C₂²	1	4	yes	complemented
60	C₁₃×#554	C₂²	1	2	yes	complemented
61	C₁₃×#554	C₂²	1	2	yes	complemented
62	C₁₃×#554	C₂²	1	4	yes	complemented
63	C₁₃×#554	C₂²	1	4	yes	complemented
64	C₁₃×#554	C₂²	1	4	yes	complemented
65	C₁₃×#554	C₂²	1	4	yes	complemented
66	C₁₃×#553	C₂²	1	4	yes	—
67	C₁₃×#553	C₂²	1	4	yes	—
68	C₁₃×#553	C₂²	1	4	yes	complemented
69	C₁₃×#552	C₂²	1	8	yes	—
70	C₁₃×#552	C₂²	1	4	yes	complemented
71	C₁₃×#552	C₂²	1	4	yes	complemented
72	C₁₃×#552	C₂²	1	8	yes	complemented
73	C₁₃×#552	C₂²	1	4	yes	complemented
74	C₁₃×#552	C₂²	1	8	yes	complemented
75	C₁₃×#552	C₂²	1	8	yes	complemented
76	C₁₃×#552	C₂²	1	8	yes	complemented
77	C₁₃×#552	C₂²	1	8	yes	complemented
78	C₁₃×#552	C₂²	1	4	yes	complemented
79	C₁₃×#552	C₂²	1	4	yes	complemented
80	C₁₃×#551	C₂²	1	8	yes	—
81	C₁₃×#551	C₂²	1	8	yes	—
82	C₁₃×#551	C₂²	1	8	yes	—
83	C₁₃×#551	C₂²	1	8	yes	—
84	C₁₃×#550	C₂²	1	2	yes	complemented
85	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
86	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
87	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
88	C₁₃×#548	C₂²	1	4	yes	complemented
89	C₁₃×#548	C₂²	1	4	yes	complemented
90	C₁₃×#547	C₂²	1	4	yes	—
91	C₁₃×#547	C₂²	1	4	yes	complemented
92	C₁₃×#547	C₂²	1	4	yes	complemented
93	C₁₃×#547	C₂²	1	8	yes	complemented
94	C₁₃×#547	C₂²	1	2	yes	complemented
95	C₁₃×#546	C₂²	1	8	yes	—
96	C₁₃×#544	C₂²	1	4	yes	—
97	C₁₃×#544	C₂²	1	2	yes	—
98	C₁₃×#544	C₂²	1	2	yes	—
99	C₁₃×#544	C₂²	1	4	yes	complemented
100	C₁₃×#544	C₂²	1	4	yes	complemented
101	C₁₃×#544	C₂²	1	4	yes	complemented
102	C₁₃×#543	C₂²	1	4	yes	—
103	C₁₃×#542	C₂²	1	4	yes	—
104	C₁₃×#542	C₂²	1	4	yes	complemented
105	C₁₃×#542	C₂²	1	8	yes	complemented
106	C₁₃×#542	C₂²	1	8	yes	complemented
107	C₁₃×#542	C₂²	1	8	yes	complemented
108	C₁₃×#542	C₂²	1	4	yes	complemented
109	C₁₃×#542	C₂²	1	4	yes	complemented
110	C₁₃×#542	C₂²	1	4	yes	complemented
111	C₁₃×#542	C₂²	1	4	yes	complemented
112	C₁₃×#541	C₂²	1	8	yes	complemented
113	C₁₃×#541	C₂²	1	4	yes	complemented
114	C₁₃×#541	C₂²	1	4	yes	complemented
115	C₁₃×#541	C₂²	1	4	yes	complemented
116	C₁₃×#541	C₂²	1	8	yes	complemented
117	C₁₃×#540	C₂²	1	4	yes	—
118	C₁₃×#539	C₂²	1	4	yes	—
119	C₁₃×#539	C₂²	1	8	yes	complemented
120	C₁₃×#539	C₂²	1	8	yes	complemented
121	C₁₃×#539	C₂²	1	8	yes	complemented
122	C₁₃×#539	C₂²	1	8	yes	complemented
123	C₁₃×#539	C₂²	1	8	yes	complemented
124	C₁₃×#538	C₂²	1	4	yes	—
125	C₁₃×#536	C₂²	1	2	yes	—
126	C₁₃×#536	C₂²	1	8	yes	complemented
127	C₁₃×#536	C₂²	1	4	yes	complemented
128	C₁₃×#535	C₂²	1	2	yes	—
129	C₁₃×#533	C₂²	1	4	yes	—
130	C₁₃×#533	C₂²	1	2	yes	—
131	C₁₃×#533	C₂²	1	2	yes	—
132	C₁₃×#533	C₂²	1	1	yes	characteristic
133	C₁₃×#533	C₂²	1	1	yes	characteristic
134	C₁₃×#533	C₂²	1	2	yes	—
135	C₁₃×#533	C₂²	1	1	yes	characteristic
136	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#533	C₂²	1	4	yes	complemented
138	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#533	C₂²	1	4	yes	complemented
140	C₁₃×#533	C₂²	1	2	yes	complemented
141	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#533	C₂²	1	2	yes	complemented
143	C₁₃×#533	C₂²	1	2	yes	complemented
144	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#532	C₂²	1	4	yes	—
146	C₁₃×#532	C₂²	1	1	yes	characteristic
147	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#532	C₂²	1	1	yes	characteristic, complemented
149	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
150	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#529	C₂²	1	2	yes	—
152	C₁₃×#529	C₂²	1	4	yes	—
153	C₁₃×#529	C₂²	1	2	yes	—
154	C₁₃×#529	C₂²	1	4	yes	—
155	C₁₃×#529	C₂²	1	2	yes	—
156	C₁₃×#529	C₂²	1	2	yes	—
157	C₁₃×#529	C₂²	1	2	yes	—
158	C₁₃×#529	C₂²	1	2	yes	—
159	C₁₃×#529	C₂²	1	2	yes	—
160	C₁₃×#529	C₂²	1	2	yes	—
161	C₁₃×#529	C₂²	1	2	yes	—
162	C₁₃×#529	C₂²	1	2	yes	—
163	C₁₃×#529	C₂²	1	4	yes	complemented
164	C₁₃×#529	C₂²	1	4	yes	complemented
165	C₁₃×#529	C₂²	1	2	yes	complemented
166	C₁₃×#529	C₂²	1	2	yes	complemented
167	C₁₃×#529	C₂²	1	2	yes	complemented
168	C₁₃×#529	C₂²	1	2	yes	complemented
169	C₁₃×#529	C₂²	1	4	yes	complemented
170	C₂×C₁₃×#126	C₂²	1	2	yes	—
171	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
172	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
173	C₂×C₁₃×#125	C₂²	1	4	yes	complemented
174	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
175	C₁₃×#525	C₂²	1	2	yes	—
176	C₁₃×#525	C₂²	1	4	yes	—
177	C₁₃×#525	C₂²	1	2	yes	—
178	C₁₃×#525	C₂²	1	2	yes	—
179	C₂×C₁₃×#123	C₂²	1	2	yes	—
180	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
181	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
182	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	—
183	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
184	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
185	C₁₃×#520	C₂²	1	2	yes	—
186	C₁₃×#520	C₂²	1	2	yes	—
187	C₁₃×#520	C₂²	1	8	yes	complemented
188	C₁₃×#520	C₂²	1	4	yes	complemented
189	C₁₃×#519	C₂²	1	2	yes	—
190	C₁₃×#519	C₂²	1	4	yes	complemented
191	C₁₃×#518	C₂²	1	2	yes	—
192	C₄×C₁₃×#41	C₂²	1	2	yes	—
193	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
194	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
195	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
196	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
197	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
198	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
199	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
200	C₂×C₁₃×#117	C₂²	1	2	yes	—
201	C₂×C₁₃×#117	C₂²	1	2	yes	—
202	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	2	yes	—
204	C₂×C₁₃×#41	C₂³	1	2	yes	—
205	C₂×C₁₃×#41	C₂³	1	2	yes	—
206	C₂×C₁₃×#41	C₂³	1	4	yes	—
207	C₂×C₁₃×#41	C₂³	1	8	yes	—
208	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
209	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
210	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
211	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
212	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
213	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
214	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
215	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
217	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
218	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
220	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
221	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
222	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
225	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
226	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
227	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
228	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
230	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
231	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
232	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
233	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
234	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
235	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
236	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
237	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
238	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
239	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
240	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
241	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
242	C₁₃×#127	C₂³	1	1	yes	characteristic
243	C₁₃×#127	C₂³	1	4	yes	—
244	C₁₃×#126	C₂³	1	4	yes	—
245	C₁₃×#126	C₂³	1	4	yes	—
246	C₁₃×#126	C₂³	1	4	yes	—
247	C₁₃×#126	C₂³	1	4	yes	—
248	C₁₃×#126	C₂³	1	4	yes	—
249	C₁₃×#126	C₂³	1	4	yes	—
250	C₁₃×#126	C₂³	1	8	yes	—
251	C₁₃×#126	C₂³	1	8	yes	—
252	C₁₃×#126	C₂³	1	8	yes	—
253	C₁₃×#126	C₂³	1	8	yes	—
254	C₁₃×#126	C₂³	1	8	yes	—
255	C₁₃×#126	C₂³	1	8	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×#126	C₂³	1	8	yes	—
263	C₁₃×#125	C₂³	1	2	yes	—
264	C₁₃×#125	C₂³	1	2	yes	—
265	C₁₃×#125	C₂³	1	2	yes	—
266	C₁₃×#125	C₂³	1	2	yes	—
267	C₁₃×#125	C₂³	1	2	yes	—
268	C₁₃×#125	C₂³	1	2	yes	—
269	C₁₃×#125	C₂³	1	4	yes	—
270	C₁₃×#125	C₂³	1	4	yes	—
271	C₁₃×#125	C₂³	1	2	yes	—
272	C₁₃×#125	C₂³	1	2	yes	—
273	C₁₃×#125	C₂³	1	8	yes	—
274	C₁₃×#125	C₂³	1	8	yes	—
275	C₁₃×#125	C₂³	1	4	yes	—
276	C₁₃×#125	C₂³	1	4	yes	—
277	C₁₃×#125	C₂³	1	2	yes	—
278	C₁₃×#125	C₂³	1	2	yes	—
279	C₁₃×#125	C₂³	1	4	yes	—
280	C₁₃×#125	C₂³	1	4	yes	—
281	C₁₃×#125	C₂³	1	2	yes	—
282	C₁₃×#125	C₂³	1	4	yes	—
283	C₁₃×#125	C₂³	1	8	yes	—
284	C₁₃×#125	C₂³	1	8	yes	—
285	C₁₃×#125	C₂³	1	8	yes	—
286	C₁₃×#125	C₂³	1	8	yes	—
287	C₁₃×#125	C₂³	1	8	yes	—
288	C₁₃×#125	C₂³	1	8	yes	—
289	C₁₃×#125	C₂³	1	8	yes	—
290	C₁₃×#125	C₂³	1	8	yes	—
291	C₁₃×#125	C₂³	1	8	yes	—
292	C₁₃×#124	C₂³	1	2	yes	—
293	C₁₃×#124	C₂³	1	2	yes	—
294	C₁₃×#124	C₂³	1	2	yes	—
295	C₁₃×#124	C₂³	1	2	yes	—
296	C₁₃×#124	C₂³	1	2	yes	—
297	C₁₃×#124	C₂³	1	2	yes	—
298	C₁₃×#124	C₂³	1	4	yes	—
299	C₁₃×#124	C₂³	1	4	yes	—
300	C₁₃×#124	C₂³	1	2	yes	—
301	C₁₃×#124	C₂³	1	4	yes	—
302	C₁₃×#124	C₂³	1	8	yes	—
303	C₁₃×#124	C₂³	1	8	yes	—
304	C₁₃×#124	C₂³	1	8	yes	—
305	C₁₃×#124	C₂³	1	8	yes	—
306	C₁₃×#124	C₂³	1	8	yes	—
307	C₁₃×#124	C₂³	1	8	yes	—
308	C₁₃×#123	C₂³	1	4	yes	—
309	C₁₃×#123	C₂³	1	4	yes	—
310	C₁₃×#123	C₂³	1	4	yes	—
311	C₁₃×#123	C₂³	1	4	yes	—
312	C₁₃×#123	C₂³	1	4	yes	—
313	C₁₃×#123	C₂³	1	4	yes	—
314	C₁₃×#123	C₂³	1	4	yes	—
315	C₁₃×#123	C₂³	1	8	yes	—
316	C₁₃×#123	C₂³	1	8	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	8	yes	—
321	C₁₃×#123	C₂³	1	8	yes	—
322	C₁₃×#123	C₂³	1	8	yes	—
323	C₁₃×#123	C₂³	1	8	yes	—
324	C₁₃×#123	C₂³	1	8	yes	—
325	C₁₃×#123	C₂³	1	8	yes	—
326	C₁₃×#123	C₂³	1	8	yes	—
327	C₁₃×#123	C₂³	1	8	yes	—
328	C₁₃×#123	C₂³	1	8	yes	—
329	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
330	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
331	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
332	C₁₃×C₂²⋊Q₈	C₂³	1	2	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	2	yes	—
337	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
338	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
339	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
340	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
341	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
342	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
343	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
344	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
345	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
346	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
348	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
349	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
350	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
351	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
352	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
353	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
354	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
355	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
356	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
357	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
358	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
359	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
360	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
361	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
362	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
363	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
364	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
365	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
366	C₁₃×C₂²⋊Q₈	C₂³	1	8	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×#121	C₂³	1	2	yes	—
376	C₁₃×#121	C₂³	1	2	yes	—
377	C₁₃×#121	C₂³	1	2	yes	—
378	C₁₃×#121	C₂³	1	2	yes	—
379	C₁₃×#121	C₂³	1	2	yes	—
380	C₁₃×#121	C₂³	1	2	yes	—
381	C₁₃×#121	C₂³	1	2	yes	—
382	C₁₃×#121	C₂³	1	2	yes	—
383	C₁₃×#121	C₂³	1	2	yes	—
384	C₁₃×#121	C₂³	1	2	yes	—
385	C₁₃×#121	C₂³	1	4	yes	—
386	C₁₃×#121	C₂³	1	4	yes	—
387	C₁₃×#121	C₂³	1	4	yes	—
388	C₁₃×#121	C₂³	1	8	yes	—
389	C₁₃×#121	C₂³	1	8	yes	—
390	C₁₃×#121	C₂³	1	8	yes	—
391	C₁₃×#121	C₂³	1	8	yes	—
392	C₁₃×#120	C₂³	1	4	yes	—
393	C₁₃×#120	C₂³	1	8	yes	—
394	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
395	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
396	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
397	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
398	C₄×Q₈×C₁₃	C₂³	1	2	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	2	yes	—
404	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
405	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
406	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
407	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
408	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
409	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
410	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
411	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
412	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
413	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
414	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
415	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
416	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
417	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
418	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
419	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
420	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
421	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
422	C₄×Q₈×C₁₃	C₂³	1	8	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	4	yes	—
427	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
428	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
429	C₄×D₄×C₁₃	C₂³	1	4	yes	—
430	C₄×D₄×C₁₃	C₂³	1	4	yes	—
431	C₄×D₄×C₁₃	C₂³	1	4	yes	—
432	C₄×D₄×C₁₃	C₂³	1	4	yes	—
433	C₄×D₄×C₁₃	C₂³	1	2	yes	—
434	C₄×D₄×C₁₃	C₂³	1	2	yes	—
435	C₄×D₄×C₁₃	C₂³	1	2	yes	—
436	C₄×D₄×C₁₃	C₂³	1	2	yes	—
437	C₄×D₄×C₁₃	C₂³	1	4	yes	—
438	C₄×D₄×C₁₃	C₂³	1	4	yes	—
439	C₄×D₄×C₁₃	C₂³	1	2	yes	—
440	C₄×D₄×C₁₃	C₂³	1	2	yes	—
441	C₄×D₄×C₁₃	C₂³	1	4	yes	—
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	4	yes	—
446	C₄×D₄×C₁₃	C₂³	1	2	yes	—
447	C₄×D₄×C₁₃	C₂³	1	2	yes	—
448	C₄×D₄×C₁₃	C₂³	1	2	yes	—
449	C₄×D₄×C₁₃	C₂³	1	4	yes	—
450	C₄×D₄×C₁₃	C₂³	1	4	yes	—
451	C₄×D₄×C₁₃	C₂³	1	4	yes	—
452	C₄×D₄×C₁₃	C₂³	1	4	yes	—
453	C₄×D₄×C₁₃	C₂³	1	8	yes	—
454	C₄×D₄×C₁₃	C₂³	1	8	yes	—
455	C₄×D₄×C₁₃	C₂³	1	4	yes	—
456	C₄×D₄×C₁₃	C₂³	1	4	yes	—
457	C₄×D₄×C₁₃	C₂³	1	8	yes	—
458	C₄×D₄×C₁₃	C₂³	1	8	yes	—
459	C₄×D₄×C₁₃	C₂³	1	4	yes	—
460	C₄×D₄×C₁₃	C₂³	1	8	yes	—
461	C₄×D₄×C₁₃	C₂³	1	8	yes	—
462	C₄×D₄×C₁₃	C₂³	1	8	yes	—
463	C₄×D₄×C₁₃	C₂³	1	8	yes	—
464	C₁₃×#117	C₂³	1	2	yes	—
465	C₁₃×#117	C₂³	1	2	yes	—
466	C₁₃×#117	C₂³	1	4	yes	—
467	C₁₃×#117	C₂³	1	4	yes	—
468	C₁₃×#117	C₂³	1	4	yes	—
469	C₁₃×#117	C₂³	1	4	yes	—
470	C₁₃×#117	C₂³	1	4	yes	—
471	C₁₃×#117	C₂³	1	4	yes	—
472	C₁₃×#117	C₂³	1	2	yes	—
473	C₁₃×#117	C₂³	1	2	yes	—
474	C₁₃×#117	C₂³	1	2	yes	—
475	C₁₃×#117	C₂³	1	4	yes	—
476	C₁₃×#117	C₂³	1	2	yes	—
477	C₁₃×#117	C₂³	1	2	yes	—
478	C₁₃×#117	C₂³	1	4	yes	—
479	C₁₃×#117	C₂³	1	4	yes	—
480	C₁₃×#117	C₂³	1	8	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	4	yes	—
486	C₁₃×#117	C₂³	1	8	yes	—
487	C₁₃×#117	C₂³	1	8	yes	—
488	C₁₃×#117	C₂³	1	8	yes	—
489	C₁₃×#117	C₂³	1	8	yes	—
490	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
491	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
492	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
493	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
494	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
495	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
496	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
497	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
498	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
499	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
500	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
501	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
502	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
503	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
504	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
505	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
506	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
507	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
508	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
509	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
510	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
511	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
512	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
513	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
514	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
515	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
516	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
517	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
518	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
519	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
520	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
521	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
522	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
523	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
524	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
525	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
528	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
529	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
530	#62831	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
531	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
533	C₁₃×#41	—	2	8	no	—
534	C₁₃×#41	—	4	4	no	—
535	C₁₃×#41	—	4	16	no	—
536	C₁₃×#41	—	4	8	no	—
537	C₁₃×#41	—	4	4	no	—
538	C₂×Q₈×C₁₃	—	2	4	no	—
539	C₂×Q₈×C₁₃	—	4	4	no	—
540	C₂×Q₈×C₁₃	—	4	4	no	—
541	C₂×Q₈×C₁₃	—	4	8	no	—
542	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
543	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
544	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
545	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
546	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
548	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
549	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
550	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
551	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
552	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
553	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
554	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
555	C₂×D₄×C₁₃	—	2	4	no	—
556	C₂×D₄×C₁₃	—	4	4	no	—
557	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
558	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
559	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
560	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
561	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
562	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
563	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
564	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
565	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
566	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
567	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
568	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
569	C₂²×C₄×C₁₃	—	2	4	no	—
570	C₂²×C₄×C₁₃	—	4	2	no	—
571	C₂²×C₄×C₁₃	—	4	4	no	—
572	C₂²×C₄×C₁₃	—	4	2	no	—
573	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
579	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
584	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
585	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
586	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
587	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
588	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
589	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
590	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
591	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
592	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
593	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
594	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
595	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
596	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
597	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
598	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
599	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
600	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
601	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
602	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
603	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
604	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
605	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
606	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
607	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
608	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
609	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
610	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
611	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
612	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
613	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
614	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
615	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
616	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
617	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
618	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
619	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
620	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
621	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
622	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
623	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
624	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
625	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
626	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
627	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
628	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
629	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
630	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
631	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
632	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
633	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
634	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
635	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
636	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
637	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
638	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
639	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
640	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
641	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
642	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
643	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
644	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
645	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
646	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
647	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
648	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
649	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
650	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
651	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
652	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
653	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
654	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
655	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
656	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
657	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
658	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
659	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
660	C₁₃×C₄⋊C₄	C₂⁴	1	8	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	4	yes	—
665	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
666	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
667	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
668	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
669	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
670	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
671	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
672	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
673	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
674	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
675	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
676	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
677	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
678	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
679	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
680	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
681	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
682	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
683	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
684	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
685	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
686	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
687	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
688	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
689	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
690	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
691	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
692	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
693	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
694	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
695	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
696	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
697	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
698	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
699	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
700	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
701	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
702	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
703	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
704	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
705	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
706	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
707	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
708	C₄²×C₁₃	C₂⁴	1	4	yes	—
709	C₄²×C₁₃	C₂⁴	1	4	yes	—
710	C₄²×C₁₃	C₂⁴	1	4	yes	—
711	C₄²×C₁₃	C₂⁴	1	4	yes	—
712	C₄²×C₁₃	C₂⁴	1	4	yes	—
713	C₄²×C₁₃	C₂⁴	1	4	yes	—
714	C₄²×C₁₃	C₂⁴	1	4	yes	—
715	C₄²×C₁₃	C₂⁴	1	4	yes	—
716	C₄²×C₁₃	C₂⁴	1	4	yes	—
717	C₄²×C₁₃	C₂⁴	1	8	yes	—
718	C₄²×C₁₃	C₂⁴	1	8	yes	—
719	C₄²×C₁₃	C₂⁴	1	8	yes	—
720	C₄²×C₁₃	C₂⁴	1	8	yes	—
721	#3565	C₂×C₁₃	1	4	yes	complemented
722	#3564	C₂×C₁₃	1	4	yes	complemented
723	#3557	C₂×C₁₃	1	4	yes	complemented
724	#3555	C₂×C₁₃	1	2	yes	complemented
725	#3554	C₂×C₁₃	1	2	yes	complemented
726	#3552	C₂×C₁₃	1	2	yes	complemented
727	#3544	C₂×C₁₃	1	2	yes	complemented
728	#3535	C₂×C₁₃	1	4	yes	complemented
729	#3523	C₂×C₁₃	1	2	yes	complemented
730	#3522	C₂×C₁₃	1	2	yes	complemented
731	#3520	C₂×C₁₃	1	4	yes	complemented
732	#3518	C₂×C₁₃	1	2	yes	complemented
733	#3515	C₂×C₁₃	1	4	yes	complemented
734	#3515	C₂×C₁₃	1	2	yes	complemented
735	#3510	C₂×C₁₃	1	2	yes	complemented
736	#3507	C₂×C₁₃	1	1	yes	characteristic, complemented
737	#3507	C₂×C₁₃	1	4	yes	complemented
738	#3506	C₂×C₁₃	1	1	yes	characteristic, complemented
739	#3504	C₂×C₁₃	1	2	yes	complemented
740	#3502	C₂×C₁₃	1	1	yes	characteristic, complemented
741	#3501	C₂×C₁₃	1	1	yes	characteristic, complemented
742	#3495	C₂×C₁₃	1	2	yes	complemented
743	#3495	C₂×C₁₃	1	4	yes	complemented
744	#3494	C₂×C₁₃	1	2	yes	complemented
745	#3444	C₂×C₁₃	1	1	yes	characteristic, complemented
746	C₂×#533	C₂×C₁₃	1	1	yes	characteristic, complemented
747	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
748	C₂³×C₁₃	—	2	2	no	—
749	C₂³×C₁₃	—	2	2	no	—
750	C₂³×C₁₃	—	2	4	no	—
751	C₂³×C₁₃	—	4	1	no	—
752	C₂³×C₁₃	—	4	2	no	—
753	C₂³×C₁₃	—	4	2	no	—
754	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
755	C₂³×C₁₃	C₂⁵	1	4	yes	—
756	C₂³×C₁₃	C₂⁵	1	4	yes	—
757	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
758	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
759	Q₈×C₁₃	—	2	4	no	—
760	Q₈×C₁₃	—	2	4	no	—
761	Q₈×C₁₃	—	2	4	no	—
762	Q₈×C₁₃	—	2	4	no	—
763	Q₈×C₁₃	—	2	4	no	—
764	Q₈×C₁₃	—	2	4	no	—
765	Q₈×C₁₃	—	4	2	no	—
766	Q₈×C₁₃	—	4	4	no	—
767	Q₈×C₁₃	—	4	8	no	—
768	Q₈×C₁₃	—	4	2	no	—
769	Q₈×C₁₃	—	4	4	no	—
770	Q₈×C₁₃	—	4	2	no	—
771	Q₈×C₁₃	—	4	8	no	—
772	D₄×C₁₃	—	2	8	no	—
773	D₄×C₁₃	—	2	8	no	—
774	D₄×C₁₃	—	2	8	no	—
775	D₄×C₁₃	—	2	4	no	—
776	D₄×C₁₃	—	2	4	no	—
777	D₄×C₁₃	—	2	4	no	—
778	D₄×C₁₃	—	2	4	no	—
779	D₄×C₁₃	—	4	4	no	—
780	D₄×C₁₃	—	4	2	no	—
781	D₄×C₁₃	—	4	8	no	—
782	D₄×C₁₃	—	4	8	no	—
783	D₄×C₁₃	—	4	4	no	—
784	C₂×C₄×C₁₃	—	2	2	no	—
785	C₂×C₄×C₁₃	—	2	4	no	—
786	C₂×C₄×C₁₃	—	2	2	no	—
787	C₂×C₄×C₁₃	—	2	2	no	—
788	C₂×C₄×C₁₃	—	2	8	no	—
789	C₂×C₄×C₁₃	—	2	2	no	—
790	C₂×C₄×C₁₃	—	2	2	no	—
791	C₂×C₄×C₁₃	—	2	2	no	—
792	C₂×C₄×C₁₃	—	2	2	no	—
793	C₂×C₄×C₁₃	—	2	8	no	—
794	C₂×C₄×C₁₃	—	2	2	no	—
795	C₂×C₄×C₁₃	—	2	2	no	—
796	C₂×C₄×C₁₃	—	2	8	no	—
797	C₂×C₄×C₁₃	—	2	2	no	—
798	C₂×C₄×C₁₃	—	4	1	no	—
799	C₂×C₄×C₁₃	—	4	4	no	—
800	C₂×C₄×C₁₃	—	4	1	no	—
801	C₂×C₄×C₁₃	—	4	1	no	—
802	C₂×C₄×C₁₃	—	4	1	no	—
803	C₂×C₄×C₁₃	—	4	1	no	—
804	C₂×C₄×C₁₃	—	4	2	no	—
805	C₂×C₄×C₁₃	—	4	1	no	—
806	C₂×C₄×C₁₃	—	4	1	no	—
807	C₂×C₄×C₁₃	—	4	2	no	—
808	C₂×C₄×C₁₃	—	4	4	no	—
809	C₂×C₄×C₁₃	—	4	8	no	—
810	C₂×C₄×C₁₃	—	4	4	no	—
811	C₂×C₄×C₁₃	—	4	4	no	—
812	C₂×C₄×C₁₃	—	4	8	no	—
813	C₂×C₄×C₁₃	—	4	8	no	—
814	C₂×C₄×C₁₃	—	4	8	no	—
815	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
816	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
817	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
818	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
819	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
820	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
821	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
822	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
823	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
824	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
825	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
827	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
828	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
829	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
830	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
831	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
832	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
833	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
834	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
835	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
836	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
837	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
838	#563	C₂²×C₁₃	1	8	yes	complemented
839	#563	C₂²×C₁₃	1	8	yes	complemented
840	#563	C₂²×C₁₃	1	8	yes	complemented
841	#562	C₂²×C₁₃	1	8	yes	complemented
842	#559	C₂²×C₁₃	1	4	yes	complemented
843	#559	C₂²×C₁₃	1	4	yes	complemented
844	#559	C₂²×C₁₃	1	2	yes	complemented
845	#559	C₂²×C₁₃	1	4	yes	complemented
846	Q₈²	C₂²×C₁₃	1	2	yes	complemented
847	Q₈²	C₂²×C₁₃	1	2	yes	complemented
848	#557	C₂²×C₁₃	1	4	yes	complemented
849	#557	C₂²×C₁₃	1	2	yes	complemented
850	#557	C₂²×C₁₃	1	4	yes	complemented
851	#557	C₂²×C₁₃	1	2	yes	complemented
852	#557	C₂²×C₁₃	1	4	yes	complemented
853	#557	C₂²×C₁₃	1	4	yes	complemented
854	#557	C₂²×C₁₃	1	2	yes	complemented
855	#556	C₂²×C₁₃	1	8	yes	complemented
856	#556	C₂²×C₁₃	1	4	yes	complemented
857	#556	C₂²×C₁₃	1	2	yes	complemented
858	#556	C₂²×C₁₃	1	4	yes	complemented
859	#556	C₂²×C₁₃	1	4	yes	complemented
860	#556	C₂²×C₁₃	1	2	yes	complemented
861	#556	C₂²×C₁₃	1	8	yes	complemented
862	#556	C₂²×C₁₃	1	4	yes	complemented
863	#556	C₂²×C₁₃	1	4	yes	complemented
864	#555	C₂²×C₁₃	1	4	yes	—
865	#555	C₂²×C₁₃	1	2	yes	complemented
866	#554	C₂²×C₁₃	1	8	yes	—
867	#554	C₂²×C₁₃	1	8	yes	—
868	#554	C₂²×C₁₃	1	4	yes	complemented
869	#554	C₂²×C₁₃	1	4	yes	complemented
870	#554	C₂²×C₁₃	1	2	yes	complemented
871	#554	C₂²×C₁₃	1	4	yes	complemented
872	#554	C₂²×C₁₃	1	2	yes	complemented
873	#554	C₂²×C₁₃	1	4	yes	complemented
874	#554	C₂²×C₁₃	1	4	yes	complemented
875	#554	C₂²×C₁₃	1	2	yes	complemented
876	#553	C₂²×C₁₃	1	4	yes	—
877	#553	C₂²×C₁₃	1	4	yes	—
878	#553	C₂²×C₁₃	1	4	yes	complemented
879	#552	C₂²×C₁₃	1	8	yes	—
880	#552	C₂²×C₁₃	1	8	yes	complemented
881	#552	C₂²×C₁₃	1	4	yes	complemented
882	#552	C₂²×C₁₃	1	8	yes	complemented
883	#552	C₂²×C₁₃	1	8	yes	complemented
884	#552	C₂²×C₁₃	1	4	yes	complemented
885	#552	C₂²×C₁₃	1	8	yes	complemented
886	#552	C₂²×C₁₃	1	4	yes	complemented
887	#552	C₂²×C₁₃	1	4	yes	complemented
888	#552	C₂²×C₁₃	1	8	yes	complemented
889	#552	C₂²×C₁₃	1	4	yes	complemented
890	#551	C₂²×C₁₃	1	8	yes	—
891	#551	C₂²×C₁₃	1	8	yes	—
892	#551	C₂²×C₁₃	1	8	yes	—
893	#551	C₂²×C₁₃	1	8	yes	—
894	#550	C₂²×C₁₃	1	2	yes	complemented
895	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
896	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
897	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
898	#548	C₂²×C₁₃	1	4	yes	complemented
899	#548	C₂²×C₁₃	1	4	yes	complemented
900	#547	C₂²×C₁₃	1	4	yes	—
901	#547	C₂²×C₁₃	1	2	yes	complemented
902	#547	C₂²×C₁₃	1	4	yes	complemented
903	#547	C₂²×C₁₃	1	8	yes	complemented
904	#547	C₂²×C₁₃	1	4	yes	complemented
905	#546	C₂²×C₁₃	1	8	yes	—
906	#544	C₂²×C₁₃	1	2	yes	—
907	#544	C₂²×C₁₃	1	2	yes	—
908	#544	C₂²×C₁₃	1	4	yes	—
909	#544	C₂²×C₁₃	1	4	yes	complemented
910	#544	C₂²×C₁₃	1	4	yes	complemented
911	#544	C₂²×C₁₃	1	4	yes	complemented
912	#543	C₂²×C₁₃	1	4	yes	—
913	#542	C₂²×C₁₃	1	4	yes	—
914	#542	C₂²×C₁₃	1	4	yes	complemented
915	#542	C₂²×C₁₃	1	4	yes	complemented
916	#542	C₂²×C₁₃	1	4	yes	complemented
917	#542	C₂²×C₁₃	1	4	yes	complemented
918	#542	C₂²×C₁₃	1	4	yes	complemented
919	#542	C₂²×C₁₃	1	8	yes	complemented
920	#542	C₂²×C₁₃	1	8	yes	complemented
921	#542	C₂²×C₁₃	1	8	yes	complemented
922	#541	C₂²×C₁₃	1	4	yes	complemented
923	#541	C₂²×C₁₃	1	4	yes	complemented
924	#541	C₂²×C₁₃	1	4	yes	complemented
925	#541	C₂²×C₁₃	1	8	yes	complemented
926	#541	C₂²×C₁₃	1	8	yes	complemented
927	#540	C₂²×C₁₃	1	4	yes	—
928	#539	C₂²×C₁₃	1	4	yes	—
929	#539	C₂²×C₁₃	1	8	yes	complemented
930	#539	C₂²×C₁₃	1	8	yes	complemented
931	#539	C₂²×C₁₃	1	8	yes	complemented
932	#539	C₂²×C₁₃	1	8	yes	complemented
933	#539	C₂²×C₁₃	1	8	yes	complemented
934	#538	C₂²×C₁₃	1	4	yes	—
935	#536	C₂²×C₁₃	1	2	yes	—
936	#536	C₂²×C₁₃	1	4	yes	complemented
937	#536	C₂²×C₁₃	1	8	yes	complemented
938	#535	C₂²×C₁₃	1	2	yes	—
939	#533	C₂²×C₁₃	1	2	yes	—
940	#533	C₂²×C₁₃	1	1	yes	characteristic
941	#533	C₂²×C₁₃	1	1	yes	characteristic
942	#533	C₂²×C₁₃	1	2	yes	—
943	#533	C₂²×C₁₃	1	2	yes	—
944	#533	C₂²×C₁₃	1	1	yes	characteristic
945	#533	C₂²×C₁₃	1	4	yes	—
946	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
948	#533	C₂²×C₁₃	1	2	yes	complemented
949	#533	C₂²×C₁₃	1	2	yes	complemented
950	#533	C₂²×C₁₃	1	2	yes	complemented
951	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
952	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
953	#533	C₂²×C₁₃	1	4	yes	complemented
954	#533	C₂²×C₁₃	1	4	yes	complemented
955	#532	C₂²×C₁₃	1	1	yes	characteristic
956	#532	C₂²×C₁₃	1	4	yes	—
957	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
958	#532	C₂²×C₁₃	1	1	yes	characteristic, complemented
959	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	#529	C₂²×C₁₃	1	2	yes	—
962	#529	C₂²×C₁₃	1	2	yes	—
963	#529	C₂²×C₁₃	1	2	yes	—
964	#529	C₂²×C₁₃	1	2	yes	—
965	#529	C₂²×C₁₃	1	2	yes	—
966	#529	C₂²×C₁₃	1	2	yes	—
967	#529	C₂²×C₁₃	1	2	yes	—
968	#529	C₂²×C₁₃	1	2	yes	—
969	#529	C₂²×C₁₃	1	2	yes	—
970	#529	C₂²×C₁₃	1	2	yes	—
971	#529	C₂²×C₁₃	1	4	yes	—
972	#529	C₂²×C₁₃	1	4	yes	—
973	#529	C₂²×C₁₃	1	2	yes	complemented
974	#529	C₂²×C₁₃	1	2	yes	complemented
975	#529	C₂²×C₁₃	1	2	yes	complemented
976	#529	C₂²×C₁₃	1	2	yes	complemented
977	#529	C₂²×C₁₃	1	4	yes	complemented
978	#529	C₂²×C₁₃	1	4	yes	complemented
979	#529	C₂²×C₁₃	1	4	yes	complemented
980	C₂×#126	C₂²×C₁₃	1	2	yes	—
981	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
982	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
983	C₂×#125	C₂²×C₁₃	1	4	yes	complemented
984	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
985	#525	C₂²×C₁₃	1	2	yes	—
986	#525	C₂²×C₁₃	1	2	yes	—
987	#525	C₂²×C₁₃	1	2	yes	—
988	#525	C₂²×C₁₃	1	4	yes	—
989	C₂×#123	C₂²×C₁₃	1	2	yes	—
990	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
991	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
992	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
993	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
994	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
995	#520	C₂²×C₁₃	1	2	yes	—
996	#520	C₂²×C₁₃	1	2	yes	—
997	#520	C₂²×C₁₃	1	4	yes	complemented
998	#520	C₂²×C₁₃	1	8	yes	complemented
999	#519	C₂²×C₁₃	1	2	yes	—
1000	#519	C₂²×C₁₃	1	4	yes	complemented
1001	#518	C₂²×C₁₃	1	2	yes	—
1002	C₄×#41	C₂²×C₁₃	1	2	yes	—
1003	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
1004	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
1005	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
1006	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
1007	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
1008	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
1009	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
1010	C₂×#117	C₂²×C₁₃	1	2	yes	—
1011	C₂×#117	C₂²×C₁₃	1	2	yes	—
1012	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
1013	C₂²×C₁₃	—	2	1	no	—
1014	C₂²×C₁₃	—	2	1	no	—
1015	C₂²×C₁₃	—	2	1	no	—
1016	C₂²×C₁₃	—	2	1	no	—
1017	C₂²×C₁₃	—	2	1	no	—
1018	C₂²×C₁₃	—	2	4	no	—
1019	C₂²×C₁₃	—	2	4	no	—
1020	C₂²×C₁₃	—	2	4	no	—
1021	C₂²×C₁₃	—	2	1	no	—
1022	C₂²×C₁₃	—	2	4	no	—
1023	C₂²×C₁₃	—	2	4	no	—
1024	C₂²×C₁₃	—	2	4	no	—
1025	C₂²×C₁₃	—	2	1	no	—
1026	C₂²×C₁₃	—	4	4	no	—
1027	C₂²×C₁₃	—	8	4	no	—
1028	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1029	C₂²×C₁₃	#585	1	2	yes	—
1030	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1031	C₄×C₁₃	—	2	1	no	—
1032	C₄×C₁₃	—	2	1	no	—
1033	C₄×C₁₃	—	2	4	no	—
1034	C₄×C₁₃	—	2	4	no	—
1035	C₄×C₁₃	—	2	1	no	—
1036	C₄×C₁₃	—	2	1	no	—
1037	C₄×C₁₃	—	2	1	no	—
1038	C₄×C₁₃	—	2	4	no	—
1039	C₄×C₁₃	—	2	4	no	—
1040	C₄×C₁₃	—	2	1	no	—
1041	C₄×C₁₃	—	2	1	no	—
1042	C₄×C₁₃	—	2	1	no	—
1043	C₄×C₁₃	—	2	1	no	—
1044	C₄×C₁₃	—	2	4	no	—
1045	C₄×C₁₃	—	2	4	no	—
1046	C₄×C₁₃	—	2	4	no	—
1047	C₄×C₁₃	—	2	4	no	—
1048	C₄×C₁₃	—	2	4	no	—
1049	C₄×C₁₃	—	2	4	no	—
1050	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1051	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1052	C₄×C₁₃	#585	1	2	yes	—
1053	C₂×#41	C₂³×C₁₃	1	2	yes	—
1054	C₂×#41	C₂³×C₁₃	1	2	yes	—
1055	C₂×#41	C₂³×C₁₃	1	2	yes	—
1056	C₂×#41	C₂³×C₁₃	1	4	yes	—
1057	C₂×#41	C₂³×C₁₃	1	8	yes	—
1058	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1060	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1061	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1062	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1064	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
1066	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1068	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1069	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1070	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1071	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1072	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1073	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1074	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1075	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1076	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1077	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1078	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1079	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1080	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1081	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1082	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1083	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1084	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1085	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1086	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1087	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1088	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1089	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1090	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1091	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1092	#127	C₂³×C₁₃	1	1	yes	characteristic
1093	#127	C₂³×C₁₃	1	4	yes	—
1094	#126	C₂³×C₁₃	1	4	yes	—
1095	#126	C₂³×C₁₃	1	4	yes	—
1096	#126	C₂³×C₁₃	1	4	yes	—
1097	#126	C₂³×C₁₃	1	4	yes	—
1098	#126	C₂³×C₁₃	1	4	yes	—
1099	#126	C₂³×C₁₃	1	4	yes	—
1100	#126	C₂³×C₁₃	1	8	yes	—
1101	#126	C₂³×C₁₃	1	8	yes	—
1102	#126	C₂³×C₁₃	1	8	yes	—
1103	#126	C₂³×C₁₃	1	8	yes	—
1104	#126	C₂³×C₁₃	1	8	yes	—
1105	#126	C₂³×C₁₃	1	8	yes	—
1106	#126	C₂³×C₁₃	1	8	yes	—
1107	#126	C₂³×C₁₃	1	8	yes	—
1108	#126	C₂³×C₁₃	1	8	yes	—
1109	#126	C₂³×C₁₃	1	8	yes	—
1110	#126	C₂³×C₁₃	1	8	yes	—
1111	#126	C₂³×C₁₃	1	8	yes	—
1112	#126	C₂³×C₁₃	1	8	yes	—
1113	#125	C₂³×C₁₃	1	2	yes	—
1114	#125	C₂³×C₁₃	1	2	yes	—
1115	#125	C₂³×C₁₃	1	2	yes	—
1116	#125	C₂³×C₁₃	1	2	yes	—
1117	#125	C₂³×C₁₃	1	2	yes	—
1118	#125	C₂³×C₁₃	1	2	yes	—
1119	#125	C₂³×C₁₃	1	4	yes	—
1120	#125	C₂³×C₁₃	1	4	yes	—
1121	#125	C₂³×C₁₃	1	2	yes	—
1122	#125	C₂³×C₁₃	1	2	yes	—
1123	#125	C₂³×C₁₃	1	8	yes	—
1124	#125	C₂³×C₁₃	1	8	yes	—
1125	#125	C₂³×C₁₃	1	4	yes	—
1126	#125	C₂³×C₁₃	1	4	yes	—
1127	#125	C₂³×C₁₃	1	2	yes	—
1128	#125	C₂³×C₁₃	1	2	yes	—
1129	#125	C₂³×C₁₃	1	4	yes	—
1130	#125	C₂³×C₁₃	1	4	yes	—
1131	#125	C₂³×C₁₃	1	2	yes	—
1132	#125	C₂³×C₁₃	1	4	yes	—
1133	#125	C₂³×C₁₃	1	8	yes	—
1134	#125	C₂³×C₁₃	1	8	yes	—
1135	#125	C₂³×C₁₃	1	8	yes	—
1136	#125	C₂³×C₁₃	1	8	yes	—
1137	#125	C₂³×C₁₃	1	8	yes	—
1138	#125	C₂³×C₁₃	1	8	yes	—
1139	#125	C₂³×C₁₃	1	8	yes	—
1140	#125	C₂³×C₁₃	1	8	yes	—
1141	#125	C₂³×C₁₃	1	8	yes	—
1142	#124	C₂³×C₁₃	1	2	yes	—
1143	#124	C₂³×C₁₃	1	2	yes	—
1144	#124	C₂³×C₁₃	1	2	yes	—
1145	#124	C₂³×C₁₃	1	2	yes	—
1146	#124	C₂³×C₁₃	1	2	yes	—
1147	#124	C₂³×C₁₃	1	2	yes	—
1148	#124	C₂³×C₁₃	1	4	yes	—
1149	#124	C₂³×C₁₃	1	4	yes	—
1150	#124	C₂³×C₁₃	1	2	yes	—
1151	#124	C₂³×C₁₃	1	4	yes	—
1152	#124	C₂³×C₁₃	1	8	yes	—
1153	#124	C₂³×C₁₃	1	8	yes	—
1154	#124	C₂³×C₁₃	1	8	yes	—
1155	#124	C₂³×C₁₃	1	8	yes	—
1156	#124	C₂³×C₁₃	1	8	yes	—
1157	#124	C₂³×C₁₃	1	8	yes	—
1158	#123	C₂³×C₁₃	1	4	yes	—
1159	#123	C₂³×C₁₃	1	4	yes	—
1160	#123	C₂³×C₁₃	1	4	yes	—
1161	#123	C₂³×C₁₃	1	4	yes	—
1162	#123	C₂³×C₁₃	1	4	yes	—
1163	#123	C₂³×C₁₃	1	4	yes	—
1164	#123	C₂³×C₁₃	1	4	yes	—
1165	#123	C₂³×C₁₃	1	8	yes	—
1166	#123	C₂³×C₁₃	1	8	yes	—
1167	#123	C₂³×C₁₃	1	8	yes	—
1168	#123	C₂³×C₁₃	1	8	yes	—
1169	#123	C₂³×C₁₃	1	8	yes	—
1170	#123	C₂³×C₁₃	1	8	yes	—
1171	#123	C₂³×C₁₃	1	8	yes	—
1172	#123	C₂³×C₁₃	1	8	yes	—
1173	#123	C₂³×C₁₃	1	8	yes	—
1174	#123	C₂³×C₁₃	1	8	yes	—
1175	#123	C₂³×C₁₃	1	8	yes	—
1176	#123	C₂³×C₁₃	1	8	yes	—
1177	#123	C₂³×C₁₃	1	8	yes	—
1178	#123	C₂³×C₁₃	1	8	yes	—
1179	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1180	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1181	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1182	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1183	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1184	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1185	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1186	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1187	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1188	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1189	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1190	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1191	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1192	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1193	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1194	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1195	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1196	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1197	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1198	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1199	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1200	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1201	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1202	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1203	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1204	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1205	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1206	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1207	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1208	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1209	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1210	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1211	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1212	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1213	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1214	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1215	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1216	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1217	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1218	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1219	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1220	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1221	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1222	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1223	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1224	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1225	#121	C₂³×C₁₃	1	2	yes	—
1226	#121	C₂³×C₁₃	1	2	yes	—
1227	#121	C₂³×C₁₃	1	2	yes	—
1228	#121	C₂³×C₁₃	1	2	yes	—
1229	#121	C₂³×C₁₃	1	2	yes	—
1230	#121	C₂³×C₁₃	1	2	yes	—
1231	#121	C₂³×C₁₃	1	2	yes	—
1232	#121	C₂³×C₁₃	1	2	yes	—
1233	#121	C₂³×C₁₃	1	2	yes	—
1234	#121	C₂³×C₁₃	1	2	yes	—
1235	#121	C₂³×C₁₃	1	4	yes	—
1236	#121	C₂³×C₁₃	1	4	yes	—
1237	#121	C₂³×C₁₃	1	4	yes	—
1238	#121	C₂³×C₁₃	1	8	yes	—
1239	#121	C₂³×C₁₃	1	8	yes	—
1240	#121	C₂³×C₁₃	1	8	yes	—
1241	#121	C₂³×C₁₃	1	8	yes	—
1242	#120	C₂³×C₁₃	1	4	yes	—
1243	#120	C₂³×C₁₃	1	8	yes	—
1244	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1245	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1246	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1247	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1248	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1249	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1250	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1251	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1252	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1253	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1254	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1255	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1256	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1257	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1258	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1259	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1260	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1261	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1262	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1263	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1264	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1265	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1266	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1267	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1268	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1269	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1270	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1271	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1272	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1273	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1274	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1275	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1276	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1277	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1278	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1279	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1280	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1281	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1282	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1283	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1284	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1285	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1286	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1287	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1288	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1289	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1290	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1291	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1292	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1293	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1294	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1295	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1296	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1297	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1298	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1299	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1300	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1301	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1302	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1303	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1304	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1305	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1306	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1307	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1308	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1309	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1310	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1311	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1312	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1313	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1314	#117	C₂³×C₁₃	1	2	yes	—
1315	#117	C₂³×C₁₃	1	2	yes	—
1316	#117	C₂³×C₁₃	1	4	yes	—
1317	#117	C₂³×C₁₃	1	4	yes	—
1318	#117	C₂³×C₁₃	1	4	yes	—
1319	#117	C₂³×C₁₃	1	4	yes	—
1320	#117	C₂³×C₁₃	1	4	yes	—
1321	#117	C₂³×C₁₃	1	4	yes	—
1322	#117	C₂³×C₁₃	1	2	yes	—
1323	#117	C₂³×C₁₃	1	2	yes	—
1324	#117	C₂³×C₁₃	1	2	yes	—
1325	#117	C₂³×C₁₃	1	4	yes	—
1326	#117	C₂³×C₁₃	1	2	yes	—
1327	#117	C₂³×C₁₃	1	2	yes	—
1328	#117	C₂³×C₁₃	1	4	yes	—
1329	#117	C₂³×C₁₃	1	4	yes	—
1330	#117	C₂³×C₁₃	1	8	yes	—
1331	#117	C₂³×C₁₃	1	4	yes	—
1332	#117	C₂³×C₁₃	1	8	yes	—
1333	#117	C₂³×C₁₃	1	8	yes	—
1334	#117	C₂³×C₁₃	1	4	yes	—
1335	#117	C₂³×C₁₃	1	4	yes	—
1336	#117	C₂³×C₁₃	1	8	yes	—
1337	#117	C₂³×C₁₃	1	8	yes	—
1338	#117	C₂³×C₁₃	1	8	yes	—
1339	#117	C₂³×C₁₃	1	8	yes	—
1340	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1341	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1342	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1343	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1344	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1345	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1346	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1347	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1348	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1349	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1350	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1351	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1352	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1353	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1354	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1355	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1356	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1357	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1358	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1359	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1360	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1361	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1362	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1363	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1364	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1365	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1366	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1367	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1368	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1369	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1370	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1371	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1372	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1373	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1374	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1375	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1376	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1377	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1378	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1379	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1380	C₂×C₁₃	—	2	2	no	—
1381	C₂×C₁₃	—	2	2	no	—
1382	C₂×C₁₃	—	4	4	no	—
1383	C₂×C₁₃	—	4	1	no	—
1384	C₂×C₁₃	—	4	4	no	—
1385	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1386	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1387	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1388	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1389	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1390	#41	—	2	8	no	—
1391	#41	—	4	4	no	—
1392	#41	—	4	16	no	—
1393	#41	—	4	8	no	—
1394	#41	—	4	4	no	—
1395	C₂×Q₈	—	2	4	no	—
1396	C₂×Q₈	—	4	4	no	—
1397	C₂×Q₈	—	4	4	no	—
1398	C₂×Q₈	—	4	8	no	—
1399	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1400	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1401	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1402	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1403	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1404	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1405	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1406	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1407	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1408	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1409	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1410	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1411	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1412	C₂×D₄	—	2	4	no	—
1413	C₂×D₄	—	4	4	no	—
1414	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1415	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1416	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1417	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1418	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1419	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1420	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1421	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1422	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1423	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1424	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1425	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1426	C₂²×C₄	—	2	4	no	—
1427	C₂²×C₄	—	4	2	no	—
1428	C₂²×C₄	—	4	4	no	—
1429	C₂²×C₄	—	4	2	no	—
1430	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1431	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1432	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1433	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1434	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1435	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1436	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1437	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1438	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1439	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1440	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1441	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1442	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1443	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1444	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1445	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1446	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1447	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1448	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1449	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1450	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1451	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1452	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1453	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1454	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1455	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1456	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1457	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1458	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1459	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1460	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1461	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1462	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1463	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1464	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1465	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1466	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1467	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1468	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1469	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1470	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1471	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1472	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1473	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1474	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1475	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1476	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1477	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1478	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1479	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1480	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1481	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1482	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1483	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1484	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1485	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1486	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1487	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1488	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1489	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1490	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1491	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1492	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1493	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1494	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1495	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1496	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1497	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1498	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1499	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1500	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1501	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1502	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1503	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1504	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1505	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1506	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1507	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1508	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1509	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1510	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1511	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1512	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1513	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1514	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1515	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1516	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1517	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1518	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1519	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1520	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1521	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1522	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1523	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1524	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1525	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1526	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1527	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1528	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1529	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1530	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1531	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1532	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1533	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1534	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1535	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1536	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1537	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1538	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1539	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1540	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1541	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1542	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1543	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1544	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1545	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1546	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1547	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1548	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1549	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1550	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1551	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1552	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1553	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1554	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1555	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1556	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1557	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1558	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1559	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1560	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1561	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1562	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1563	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1564	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1565	C₄²	C₂⁴×C₁₃	1	4	yes	—
1566	C₄²	C₂⁴×C₁₃	1	4	yes	—
1567	C₄²	C₂⁴×C₁₃	1	4	yes	—
1568	C₄²	C₂⁴×C₁₃	1	4	yes	—
1569	C₄²	C₂⁴×C₁₃	1	4	yes	—
1570	C₄²	C₂⁴×C₁₃	1	4	yes	—
1571	C₄²	C₂⁴×C₁₃	1	4	yes	—
1572	C₄²	C₂⁴×C₁₃	1	4	yes	—
1573	C₄²	C₂⁴×C₁₃	1	4	yes	—
1574	C₄²	C₂⁴×C₁₃	1	8	yes	—
1575	C₄²	C₂⁴×C₁₃	1	8	yes	—
1576	C₄²	C₂⁴×C₁₃	1	8	yes	—
1577	C₄²	C₂⁴×C₁₃	1	8	yes	—
1578	C₁₃	#62831	1	1	yes	characteristic, direct product factor, Sylow
1579	C₂³	—	2	2	no	—
1580	C₂³	—	2	2	no	—
1581	C₂³	—	2	4	no	—
1582	C₂³	—	4	1	no	—
1583	C₂³	—	4	2	no	—
1584	C₂³	—	4	2	no	—
1585	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1586	C₂³	C₂⁵×C₁₃	1	4	yes	—
1587	C₂³	C₂⁵×C₁₃	1	4	yes	—
1588	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1589	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1590	Q₈	—	2	4	no	—
1591	Q₈	—	2	4	no	—
1592	Q₈	—	2	4	no	—
1593	Q₈	—	2	4	no	—
1594	Q₈	—	2	4	no	—
1595	Q₈	—	2	4	no	—
1596	Q₈	—	4	2	no	—
1597	Q₈	—	4	4	no	—
1598	Q₈	—	4	8	no	—
1599	Q₈	—	4	2	no	—
1600	Q₈	—	4	4	no	—
1601	Q₈	—	4	2	no	—
1602	Q₈	—	4	8	no	—
1603	D₄	—	2	8	no	—
1604	D₄	—	2	8	no	—
1605	D₄	—	2	8	no	—
1606	D₄	—	2	4	no	—
1607	D₄	—	2	4	no	—
1608	D₄	—	2	4	no	—
1609	D₄	—	2	4	no	—
1610	D₄	—	4	4	no	—
1611	D₄	—	4	2	no	—
1612	D₄	—	4	8	no	—
1613	D₄	—	4	8	no	—
1614	D₄	—	4	4	no	—
1615	C₂×C₄	—	2	2	no	—
1616	C₂×C₄	—	2	4	no	—
1617	C₂×C₄	—	2	2	no	—
1618	C₂×C₄	—	2	2	no	—
1619	C₂×C₄	—	2	8	no	—
1620	C₂×C₄	—	2	2	no	—
1621	C₂×C₄	—	2	2	no	—
1622	C₂×C₄	—	2	2	no	—
1623	C₂×C₄	—	2	2	no	—
1624	C₂×C₄	—	2	8	no	—
1625	C₂×C₄	—	2	2	no	—
1626	C₂×C₄	—	2	2	no	—
1627	C₂×C₄	—	2	8	no	—
1628	C₂×C₄	—	2	2	no	—
1629	C₂×C₄	—	4	1	no	—
1630	C₂×C₄	—	4	4	no	—
1631	C₂×C₄	—	4	1	no	—
1632	C₂×C₄	—	4	1	no	—
1633	C₂×C₄	—	4	1	no	—
1634	C₂×C₄	—	4	1	no	—
1635	C₂×C₄	—	4	2	no	—
1636	C₂×C₄	—	4	1	no	—
1637	C₂×C₄	—	4	1	no	—
1638	C₂×C₄	—	4	2	no	—
1639	C₂×C₄	—	4	4	no	—
1640	C₂×C₄	—	4	8	no	—
1641	C₂×C₄	—	4	4	no	—
1642	C₂×C₄	—	4	4	no	—
1643	C₂×C₄	—	4	8	no	—
1644	C₂×C₄	—	4	8	no	—
1645	C₂×C₄	—	4	8	no	—
1646	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
1647	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1648	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1649	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1650	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1651	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1652	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1653	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1654	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1655	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1656	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1657	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1658	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1659	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1660	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1661	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1662	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1663	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1664	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1665	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1666	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1667	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1668	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1669	C₂²	—	2	1	no	—
1670	C₂²	—	2	1	no	—
1671	C₂²	—	2	1	no	—
1672	C₂²	—	2	1	no	—
1673	C₂²	—	2	1	no	—
1674	C₂²	—	2	4	no	—
1675	C₂²	—	2	4	no	—
1676	C₂²	—	2	4	no	—
1677	C₂²	—	2	1	no	—
1678	C₂²	—	2	4	no	—
1679	C₂²	—	2	4	no	—
1680	C₂²	—	2	4	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	4	4	no	—
1683	C₂²	—	8	4	no	—
1684	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1685	C₂²	C₁₃×#585	1	2	yes	—
1686	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1687	C₄	—	2	1	no	—
1688	C₄	—	2	1	no	—
1689	C₄	—	2	4	no	—
1690	C₄	—	2	4	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	2	1	no	—
1694	C₄	—	2	4	no	—
1695	C₄	—	2	4	no	—
1696	C₄	—	2	1	no	—
1697	C₄	—	2	1	no	—
1698	C₄	—	2	1	no	—
1699	C₄	—	2	1	no	—
1700	C₄	—	2	4	no	—
1701	C₄	—	2	4	no	—
1702	C₄	—	2	4	no	—
1703	C₄	—	2	4	no	—
1704	C₄	—	2	4	no	—
1705	C₄	—	2	4	no	—
1706	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1707	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1708	C₄	C₁₃×#585	1	2	yes	—
1709	C₂	—	2	2	no	—
1710	C₂	—	2	2	no	—
1711	C₂	—	4	1	no	—
1712	C₂	—	4	4	no	—
1713	C₂	—	4	4	no	—
1714	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1715	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1716	C₂	C₂×C₁₃×#585	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×#3564	C₂	semidirect
3. C₁₃×#3557	C₂	semidirect
4. C₁₃×#3555	C₂	semidirect
5. C₁₃×#3554	C₂	semidirect
6. C₁₃×#3552	C₂	semidirect
7. C₁₃×#3544	C₂	semidirect
8. C₁₃×#3535	C₂	semidirect
9. C₁₃×#3523	C₂	semidirect
10. C₁₃×#3522	C₂	semidirect
11. C₁₃×#3520	C₂	semidirect
12. C₁₃×#3518	C₂	semidirect
13. C₁₃×#3515	C₂	semidirect
14. C₁₃×#3515	C₂	semidirect
15. C₁₃×#3510	C₂	semidirect
16. C₁₃×#3507	C₂	semidirect
17. C₁₃×#3507	C₂	semidirect
18. C₁₃×#3506	C₂	semidirect
19. C₁₃×#3504	C₂	semidirect
20. C₁₃×#3502	C₂	semidirect
21. C₁₃×#3501	C₂	semidirect
22. C₁₃×#3495	C₂	semidirect
23. C₁₃×#3495	C₂	semidirect
24. C₁₃×#3494	C₂	semidirect
25. C₁₃×#3444	C₂	semidirect
26. C₂×C₁₃×#533	C₂	semidirect
27. C₂×C₁₃×#529	C₂	semidirect
28. C₁₃×#563	C₂²	semidirect
29. C₁₃×#563	C₂²	semidirect
30. C₁₃×#563	C₂²	semidirect
31. C₁₃×#562	C₂²	semidirect
32. C₁₃×#559	C₂²	semidirect
33. C₁₃×#559	C₂²	semidirect
34. C₁₃×#559	C₂²	semidirect
35. C₁₃×#559	C₂²	semidirect
36. Q₈²×C₁₃	C₂²	semidirect
37. Q₈²×C₁₃	C₂²	semidirect
38. C₁₃×#557	C₂²	semidirect
39. C₁₃×#557	C₂²	semidirect
40. C₁₃×#557	C₂²	semidirect
41. C₁₃×#557	C₂²	semidirect
42. C₁₃×#557	C₂²	semidirect
43. C₁₃×#557	C₂²	semidirect
44. C₁₃×#557	C₂²	semidirect
45. C₁₃×#556	C₂²	semidirect
46. C₁₃×#556	C₂²	semidirect
47. C₁₃×#556	C₂²	semidirect
48. C₁₃×#556	C₂²	semidirect
49. C₁₃×#556	C₂²	semidirect
50. C₁₃×#556	C₂²	semidirect
51. C₁₃×#556	C₂²	semidirect
52. C₁₃×#556	C₂²	semidirect
53. C₁₃×#556	C₂²	semidirect
55. C₁₃×#555	C₂²	semidirect
58. C₁₃×#554	C₂²	semidirect
59. C₁₃×#554	C₂²	semidirect
60. C₁₃×#554	C₂²	semidirect
61. C₁₃×#554	C₂²	semidirect
62. C₁₃×#554	C₂²	semidirect
63. C₁₃×#554	C₂²	semidirect
64. C₁₃×#554	C₂²	semidirect
65. C₁₃×#554	C₂²	semidirect
68. C₁₃×#553	C₂²	semidirect
70. C₁₃×#552	C₂²	semidirect
71. C₁₃×#552	C₂²	semidirect
72. C₁₃×#552	C₂²	semidirect
73. C₁₃×#552	C₂²	semidirect
74. C₁₃×#552	C₂²	semidirect
75. C₁₃×#552	C₂²	semidirect
76. C₁₃×#552	C₂²	semidirect
77. C₁₃×#552	C₂²	semidirect
78. C₁₃×#552	C₂²	semidirect
79. C₁₃×#552	C₂²	semidirect
84. C₁₃×#550	C₂²	semidirect
85. D₄×Q₈×C₁₃	C₂²	semidirect
86. D₄×Q₈×C₁₃	C₂²	semidirect
87. D₄×Q₈×C₁₃	C₂²	semidirect
88. C₁₃×#548	C₂²	semidirect
89. C₁₃×#548	C₂²	semidirect
91. C₁₃×#547	C₂²	semidirect
92. C₁₃×#547	C₂²	semidirect
93. C₁₃×#547	C₂²	semidirect
94. C₁₃×#547	C₂²	semidirect
99. C₁₃×#544	C₂²	semidirect
100. C₁₃×#544	C₂²	semidirect
101. C₁₃×#544	C₂²	semidirect
104. C₁₃×#542	C₂²	semidirect
105. C₁₃×#542	C₂²	semidirect
106. C₁₃×#542	C₂²	semidirect
107. C₁₃×#542	C₂²	semidirect
108. C₁₃×#542	C₂²	semidirect
109. C₁₃×#542	C₂²	semidirect
110. C₁₃×#542	C₂²	semidirect
111. C₁₃×#542	C₂²	semidirect
112. C₁₃×#541	C₂²	semidirect
113. C₁₃×#541	C₂²	semidirect
114. C₁₃×#541	C₂²	semidirect
115. C₁₃×#541	C₂²	semidirect
116. C₁₃×#541	C₂²	semidirect
119. C₁₃×#539	C₂²	semidirect
120. C₁₃×#539	C₂²	semidirect
121. C₁₃×#539	C₂²	semidirect
122. C₁₃×#539	C₂²	semidirect
123. C₁₃×#539	C₂²	semidirect
126. C₁₃×#536	C₂²	semidirect
127. C₁₃×#536	C₂²	semidirect
136. C₁₃×#533	C₂²	semidirect
137. C₁₃×#533	C₂²	semidirect
138. C₁₃×#533	C₂²	semidirect
139. C₁₃×#533	C₂²	semidirect
140. C₁₃×#533	C₂²	semidirect
141. C₁₃×#533	C₂²	semidirect
142. C₁₃×#533	C₂²	semidirect
143. C₁₃×#533	C₂²	semidirect
144. C₁₃×#533	C₂²	semidirect
147. C₁₃×#532	C₂²	semidirect
148. C₁₃×#532	C₂²	semidirect
149. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
150. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
163. C₁₃×#529	C₂²	semidirect
164. C₁₃×#529	C₂²	semidirect
165. C₁₃×#529	C₂²	semidirect
166. C₁₃×#529	C₂²	semidirect
167. C₁₃×#529	C₂²	semidirect
168. C₁₃×#529	C₂²	semidirect
169. C₁₃×#529	C₂²	semidirect
172. C₂×C₁₃×#125	C₂²	semidirect
173. C₂×C₁₃×#125	C₂²	semidirect
187. C₁₃×#520	C₂²	semidirect
188. C₁₃×#520	C₂²	semidirect
190. C₁₃×#519	C₂²	semidirect
193. C₄×C₁₃×#41	C₂²	semidirect
194. C₄×C₁₃×#41	C₂²	semidirect
196. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
197. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
530. #62831	C₁₃	direct (N × H)
721. #3565	C₂×C₁₃	semidirect
722. #3564	C₂×C₁₃	semidirect
723. #3557	C₂×C₁₃	semidirect
724. #3555	C₂×C₁₃	semidirect
725. #3554	C₂×C₁₃	semidirect
726. #3552	C₂×C₁₃	semidirect
727. #3544	C₂×C₁₃	semidirect
728. #3535	C₂×C₁₃	semidirect
729. #3523	C₂×C₁₃	semidirect
730. #3522	C₂×C₁₃	semidirect
731. #3520	C₂×C₁₃	semidirect
732. #3518	C₂×C₁₃	semidirect
733. #3515	C₂×C₁₃	semidirect
734. #3515	C₂×C₁₃	semidirect
735. #3510	C₂×C₁₃	semidirect
736. #3507	C₂×C₁₃	semidirect
737. #3507	C₂×C₁₃	semidirect
738. #3506	C₂×C₁₃	semidirect
739. #3504	C₂×C₁₃	semidirect
740. #3502	C₂×C₁₃	semidirect
741. #3501	C₂×C₁₃	semidirect
742. #3495	C₂×C₁₃	semidirect
743. #3495	C₂×C₁₃	semidirect
744. #3494	C₂×C₁₃	semidirect
745. #3444	C₂×C₁₃	semidirect
746. C₂×#533	C₂×C₁₃	semidirect
747. C₂×#529	C₂×C₁₃	semidirect
838. #563	C₂²×C₁₃	semidirect
839. #563	C₂²×C₁₃	semidirect
840. #563	C₂²×C₁₃	semidirect
841. #562	C₂²×C₁₃	semidirect
842. #559	C₂²×C₁₃	semidirect
843. #559	C₂²×C₁₃	semidirect
844. #559	C₂²×C₁₃	semidirect
845. #559	C₂²×C₁₃	semidirect
846. Q₈²	C₂²×C₁₃	semidirect
847. Q₈²	C₂²×C₁₃	semidirect
848. #557	C₂²×C₁₃	semidirect
849. #557	C₂²×C₁₃	semidirect
850. #557	C₂²×C₁₃	semidirect
851. #557	C₂²×C₁₃	semidirect
852. #557	C₂²×C₁₃	semidirect
853. #557	C₂²×C₁₃	semidirect
854. #557	C₂²×C₁₃	semidirect
855. #556	C₂²×C₁₃	semidirect
856. #556	C₂²×C₁₃	semidirect
857. #556	C₂²×C₁₃	semidirect
858. #556	C₂²×C₁₃	semidirect
859. #556	C₂²×C₁₃	semidirect
860. #556	C₂²×C₁₃	semidirect
861. #556	C₂²×C₁₃	semidirect
862. #556	C₂²×C₁₃	semidirect
863. #556	C₂²×C₁₃	semidirect
865. #555	C₂²×C₁₃	semidirect
868. #554	C₂²×C₁₃	semidirect
869. #554	C₂²×C₁₃	semidirect
870. #554	C₂²×C₁₃	semidirect
871. #554	C₂²×C₁₃	semidirect
872. #554	C₂²×C₁₃	semidirect
873. #554	C₂²×C₁₃	semidirect
874. #554	C₂²×C₁₃	semidirect
875. #554	C₂²×C₁₃	semidirect
878. #553	C₂²×C₁₃	semidirect
880. #552	C₂²×C₁₃	semidirect
881. #552	C₂²×C₁₃	semidirect
882. #552	C₂²×C₁₃	semidirect
883. #552	C₂²×C₁₃	semidirect
884. #552	C₂²×C₁₃	semidirect
885. #552	C₂²×C₁₃	semidirect
886. #552	C₂²×C₁₃	semidirect
887. #552	C₂²×C₁₃	semidirect
888. #552	C₂²×C₁₃	semidirect
889. #552	C₂²×C₁₃	semidirect
894. #550	C₂²×C₁₃	semidirect
895. D₄×Q₈	C₂²×C₁₃	semidirect
896. D₄×Q₈	C₂²×C₁₃	semidirect
897. D₄×Q₈	C₂²×C₁₃	semidirect
898. #548	C₂²×C₁₃	semidirect
899. #548	C₂²×C₁₃	semidirect
901. #547	C₂²×C₁₃	semidirect
902. #547	C₂²×C₁₃	semidirect
903. #547	C₂²×C₁₃	semidirect
904. #547	C₂²×C₁₃	semidirect
909. #544	C₂²×C₁₃	semidirect
910. #544	C₂²×C₁₃	semidirect
911. #544	C₂²×C₁₃	semidirect
914. #542	C₂²×C₁₃	semidirect
915. #542	C₂²×C₁₃	semidirect
916. #542	C₂²×C₁₃	semidirect
917. #542	C₂²×C₁₃	semidirect
918. #542	C₂²×C₁₃	semidirect
919. #542	C₂²×C₁₃	semidirect
920. #542	C₂²×C₁₃	semidirect
921. #542	C₂²×C₁₃	semidirect
922. #541	C₂²×C₁₃	semidirect
923. #541	C₂²×C₁₃	semidirect
924. #541	C₂²×C₁₃	semidirect
925. #541	C₂²×C₁₃	semidirect
926. #541	C₂²×C₁₃	semidirect
929. #539	C₂²×C₁₃	semidirect
930. #539	C₂²×C₁₃	semidirect
931. #539	C₂²×C₁₃	semidirect
932. #539	C₂²×C₁₃	semidirect
933. #539	C₂²×C₁₃	semidirect
936. #536	C₂²×C₁₃	semidirect
937. #536	C₂²×C₁₃	semidirect
946. #533	C₂²×C₁₃	semidirect
947. #533	C₂²×C₁₃	semidirect
948. #533	C₂²×C₁₃	semidirect
949. #533	C₂²×C₁₃	semidirect
950. #533	C₂²×C₁₃	semidirect
951. #533	C₂²×C₁₃	semidirect
952. #533	C₂²×C₁₃	semidirect
953. #533	C₂²×C₁₃	semidirect
954. #533	C₂²×C₁₃	semidirect
957. #532	C₂²×C₁₃	semidirect
958. #532	C₂²×C₁₃	semidirect
959. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
960. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
973. #529	C₂²×C₁₃	semidirect
974. #529	C₂²×C₁₃	semidirect
975. #529	C₂²×C₁₃	semidirect
976. #529	C₂²×C₁₃	semidirect
977. #529	C₂²×C₁₃	semidirect
978. #529	C₂²×C₁₃	semidirect
979. #529	C₂²×C₁₃	semidirect
982. C₂×#125	C₂²×C₁₃	semidirect
983. C₂×#125	C₂²×C₁₃	semidirect
997. #520	C₂²×C₁₃	semidirect
998. #520	C₂²×C₁₃	semidirect
1000. #519	C₂²×C₁₃	semidirect
1003. C₄×#41	C₂²×C₁₃	semidirect
1004. C₄×#41	C₂²×C₁₃	semidirect
1006. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
1007. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
1578. C₁₃	#62831	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×#3564	2
C₁₃×#3557	2
C₁₃×#3555	2
C₁₃×#3554	2
C₁₃×#3552	2
C₁₃×#3544	2
C₁₃×#3535	2
C₁₃×#3523	2
C₁₃×#3522	2
C₁₃×#3520	2
C₁₃×#3518	2
C₁₃×#3515	2
C₁₃×#3510	2
C₁₃×#3507	2
C₁₃×#3506	2
C₁₃×#3504	2
C₁₃×#3502	2
C₁₃×#3501	2
C₁₃×#3495	2
C₁₃×#3494	2
C₁₃×#3444	2
C₂×C₁₃×#533	2
C₂×C₁₃×#529	2
#62831	13

Subgroups — C13×#62831 #15749170

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62831 #15749170