Subgroups — C₁₃×#62926 #15749265

Order 3328.

6566 conjugacy classes of subgroups.

The subgroup lattice has 1684 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×#3559	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	4	yes	maximal, complemented
6	C₁₃×#3548	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3547	C₂	1	2	yes	maximal, complemented
8	C₁₃×#3544	C₂	1	2	yes	maximal, complemented
9	C₁₃×#3541	C₂	1	8	yes	maximal, complemented
10	C₁₃×#3541	C₂	1	4	yes	maximal, complemented
11	C₁₃×#3522	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3515	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3512	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3511	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3511	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3507	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3506	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3504	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3503	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3492	C₂	1	4	yes	maximal, 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×#554	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3460	C₂	1	2	yes	maximal, complemented
27	C₁₃×#563	C₂²	1	8	yes	complemented
28	C₁₃×#563	C₂²	1	8	yes	complemented
29	C₁₃×#563	C₂²	1	8	yes	complemented
30	C₁₃×#562	C₂²	1	8	yes	complemented
31	C₁₃×#562	C₂²	1	8	yes	complemented
32	C₁₃×#562	C₂²	1	8	yes	complemented
33	C₁₃×#559	C₂²	1	4	yes	—
34	C₁₃×#559	C₂²	1	4	yes	—
35	C₁₃×#559	C₂²	1	4	yes	—
36	C₁₃×#559	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#559	C₂²	1	2	yes	complemented
38	Q₈²×C₁₃	C₂²	1	2	yes	complemented
39	Q₈²×C₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#557	C₂²	1	4	yes	complemented
41	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#557	C₂²	1	2	yes	complemented
43	C₁₃×#557	C₂²	1	4	yes	complemented
44	C₁₃×#557	C₂²	1	2	yes	complemented
45	C₁₃×#557	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#556	C₂²	1	4	yes	—
47	C₁₃×#556	C₂²	1	2	yes	—
48	C₁₃×#556	C₂²	1	4	yes	complemented
49	C₁₃×#556	C₂²	1	8	yes	complemented
50	C₁₃×#556	C₂²	1	2	yes	complemented
51	C₁₃×#556	C₂²	1	2	yes	complemented
52	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#555	C₂²	1	2	yes	—
54	C₁₃×#555	C₂²	1	4	yes	—
55	C₁₃×#555	C₂²	1	2	yes	complemented
56	C₁₃×#554	C₂²	1	2	yes	—
57	C₁₃×#554	C₂²	1	4	yes	—
58	C₁₃×#554	C₂²	1	8	yes	—
59	C₁₃×#554	C₂²	1	4	yes	—
60	C₁₃×#554	C₂²	1	8	yes	—
61	C₁₃×#554	C₂²	1	2	yes	—
62	C₁₃×#554	C₂²	1	2	yes	—
63	C₁₃×#554	C₂²	1	4	yes	—
64	C₁₃×#554	C₂²	1	4	yes	—
65	C₁₃×#554	C₂²	1	2	yes	—
66	C₁₃×#554	C₂²	1	2	yes	—
67	C₁₃×#554	C₂²	1	4	yes	complemented
68	C₁₃×#554	C₂²	1	2	yes	complemented
69	C₁₃×#554	C₂²	1	4	yes	complemented
70	C₁₃×#554	C₂²	1	2	yes	complemented
71	C₁₃×#554	C₂²	1	2	yes	complemented
72	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#553	C₂²	1	4	yes	—
74	C₁₃×#553	C₂²	1	8	yes	—
75	C₁₃×#553	C₂²	1	4	yes	—
76	C₁₃×#553	C₂²	1	8	yes	—
77	C₁₃×#553	C₂²	1	4	yes	—
78	C₁₃×#553	C₂²	1	4	yes	—
79	C₁₃×#553	C₂²	1	4	yes	—
80	C₁₃×#553	C₂²	1	2	yes	—
81	C₁₃×#553	C₂²	1	4	yes	complemented
82	C₁₃×#553	C₂²	1	4	yes	complemented
83	C₁₃×#552	C₂²	1	4	yes	complemented
84	C₁₃×#552	C₂²	1	8	yes	complemented
85	C₁₃×#552	C₂²	1	4	yes	complemented
86	C₁₃×#552	C₂²	1	4	yes	complemented
87	C₁₃×#552	C₂²	1	8	yes	complemented
88	C₁₃×#552	C₂²	1	4	yes	complemented
89	C₁₃×#552	C₂²	1	4	yes	complemented
90	C₁₃×#550	C₂²	1	2	yes	—
91	C₁₃×#550	C₂²	1	4	yes	—
92	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
93	D₄×Q₈×C₁₃	C₂²	1	2	yes	—
94	D₄×Q₈×C₁₃	C₂²	1	4	yes	—
95	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
96	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
97	C₁₃×#548	C₂²	1	2	yes	—
98	C₁₃×#548	C₂²	1	4	yes	—
99	C₁₃×#548	C₂²	1	4	yes	complemented
100	C₁₃×#548	C₂²	1	8	yes	complemented
101	C₁₃×#547	C₂²	1	4	yes	—
102	C₁₃×#547	C₂²	1	2	yes	—
103	C₁₃×#547	C₂²	1	8	yes	complemented
104	C₁₃×#547	C₂²	1	4	yes	complemented
105	C₁₃×#547	C₂²	1	4	yes	complemented
106	C₁₃×#547	C₂²	1	4	yes	complemented
107	C₁₃×#547	C₂²	1	8	yes	complemented
108	C₁₃×#547	C₂²	1	2	yes	complemented
109	C₁₃×#544	C₂²	1	2	yes	—
110	C₁₃×#544	C₂²	1	1	yes	characteristic
111	C₁₃×#544	C₂²	1	4	yes	complemented
112	C₁₃×#544	C₂²	1	4	yes	complemented
113	C₁₃×#544	C₂²	1	4	yes	complemented
114	C₁₃×#544	C₂²	1	4	yes	complemented
115	C₁₃×#542	C₂²	1	4	yes	—
116	C₁₃×#542	C₂²	1	4	yes	—
117	C₁₃×#542	C₂²	1	2	yes	—
118	C₁₃×#542	C₂²	1	2	yes	—
119	C₁₃×#542	C₂²	1	4	yes	complemented
120	C₁₃×#542	C₂²	1	8	yes	complemented
121	C₁₃×#542	C₂²	1	8	yes	complemented
122	C₁₃×#542	C₂²	1	8	yes	complemented
123	C₁₃×#542	C₂²	1	8	yes	complemented
124	C₁₃×#542	C₂²	1	4	yes	complemented
125	C₁₃×#541	C₂²	1	8	yes	complemented
126	C₁₃×#541	C₂²	1	4	yes	complemented
127	C₁₃×#541	C₂²	1	4	yes	complemented
128	C₁₃×#540	C₂²	1	4	yes	—
129	C₁₃×#540	C₂²	1	4	yes	—
130	C₁₃×#540	C₂²	1	2	yes	—
131	C₁₃×#540	C₂²	1	2	yes	—
132	C₁₃×#540	C₂²	1	4	yes	complemented
133	C₁₃×#539	C₂²	1	8	yes	complemented
134	C₁₃×#539	C₂²	1	8	yes	complemented
135	C₁₃×#539	C₂²	1	8	yes	complemented
136	C₁₃×#539	C₂²	1	8	yes	complemented
137	C₁₃×#539	C₂²	1	8	yes	complemented
138	C₁₃×#538	C₂²	1	4	yes	—
139	C₁₃×#538	C₂²	1	8	yes	—
140	C₁₃×#538	C₂²	1	8	yes	—
141	C₁₃×#538	C₂²	1	4	yes	—
142	C₁₃×#537	C₂²	1	2	yes	—
143	C₁₃×#537	C₂²	1	1	yes	characteristic
144	C₁₃×#537	C₂²	1	8	yes	complemented
145	C₁₃×#537	C₂²	1	4	yes	complemented
146	C₁₃×#537	C₂²	1	4	yes	complemented
147	C₁₃×#536	C₂²	1	8	yes	complemented
148	C₁₃×#536	C₂²	1	4	yes	complemented
149	C₁₃×#535	C₂²	1	1	yes	characteristic
150	C₁₃×#535	C₂²	1	1	yes	characteristic
151	C₁₃×#535	C₂²	1	2	yes	—
152	C₁₃×#533	C₂²	1	1	yes	characteristic
153	C₁₃×#533	C₂²	1	2	yes	—
154	C₁₃×#533	C₂²	1	2	yes	complemented
155	C₁₃×#533	C₂²	1	2	yes	complemented
156	C₁₃×#533	C₂²	1	4	yes	complemented
157	C₁₃×#533	C₂²	1	2	yes	complemented
158	C₁₃×#533	C₂²	1	4	yes	complemented
159	C₁₃×#532	C₂²	1	4	yes	—
160	C₁₃×#532	C₂²	1	2	yes	—
161	C₁₃×#532	C₂²	1	2	yes	—
162	C₁₃×#532	C₂²	1	4	yes	—
163	C₁₃×#532	C₂²	1	1	yes	characteristic
164	C₁₃×#532	C₂²	1	2	yes	—
165	C₁₃×#532	C₂²	1	2	yes	complemented
166	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
167	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
168	C₁₃×#529	C₂²	1	2	yes	—
169	C₁₃×#529	C₂²	1	2	yes	—
170	C₁₃×#529	C₂²	1	4	yes	—
171	C₁₃×#529	C₂²	1	4	yes	—
172	C₁₃×#529	C₂²	1	4	yes	complemented
173	C₁₃×#529	C₂²	1	2	yes	complemented
174	C₁₃×#529	C₂²	1	4	yes	complemented
175	C₁₃×#529	C₂²	1	4	yes	complemented
176	C₂×C₁₃×#125	C₂²	1	2	yes	—
177	C₂×C₁₃×#125	C₂²	1	4	yes	complemented
178	C₁₃×#525	C₂²	1	4	yes	—
179	C₁₃×#525	C₂²	1	8	yes	—
180	C₁₃×#525	C₂²	1	4	yes	—
181	C₁₃×#525	C₂²	1	8	yes	—
182	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	—
183	C₂×C₁₃×C₂²⋊Q₈	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	complemented
188	C₁₃×#520	C₂²	1	4	yes	complemented
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	complemented
194	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
195	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
196	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
197	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
198	C₂²×C₁₃×C₄⋊C₄	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	C₂×C₁₃×#41	C₂³	1	4	yes	—
205	C₂×C₁₃×#41	C₂³	1	8	yes	—
206	C₂×C₁₃×#41	C₂³	1	8	yes	—
207	C₂×C₁₃×#41	C₂³	1	4	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	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
214	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
215	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
216	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
217	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
218	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
219	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
221	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
222	C₁₃×C₄⋊Q₈	C₂³	1	4	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	4	yes	—
227	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
228	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
229	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
230	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
231	C₁₃×C₄⋊Q₈	C₂³	1	4	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	2	yes	—
239	C₁₃×#127	C₂³	1	1	yes	characteristic
240	C₁₃×#127	C₂³	1	4	yes	—
241	C₁₃×#127	C₂³	1	2	yes	—
242	C₁₃×#127	C₂³	1	2	yes	—
243	C₁₃×#126	C₂³	1	8	yes	—
244	C₁₃×#126	C₂³	1	4	yes	—
245	C₁₃×#126	C₂³	1	4	yes	—
246	C₁₃×#126	C₂³	1	8	yes	—
247	C₁₃×#126	C₂³	1	4	yes	—
248	C₁₃×#126	C₂³	1	8	yes	—
249	C₁₃×#126	C₂³	1	4	yes	—
250	C₁₃×#126	C₂³	1	8	yes	—
251	C₁₃×#126	C₂³	1	4	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×#125	C₂³	1	4	yes	—
259	C₁₃×#125	C₂³	1	4	yes	—
260	C₁₃×#125	C₂³	1	4	yes	—
261	C₁₃×#125	C₂³	1	4	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	8	yes	—
266	C₁₃×#125	C₂³	1	8	yes	—
267	C₁₃×#125	C₂³	1	2	yes	—
268	C₁₃×#125	C₂³	1	4	yes	—
269	C₁₃×#125	C₂³	1	4	yes	—
270	C₁₃×#125	C₂³	1	2	yes	—
271	C₁₃×#125	C₂³	1	2	yes	—
272	C₁₃×#125	C₂³	1	2	yes	—
273	C₁₃×#125	C₂³	1	4	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	8	yes	—
279	C₁₃×#125	C₂³	1	8	yes	—
280	C₁₃×#125	C₂³	1	8	yes	—
281	C₁₃×#125	C₂³	1	8	yes	—
282	C₁₃×#124	C₂³	1	2	yes	—
283	C₁₃×#124	C₂³	1	4	yes	—
284	C₁₃×#124	C₂³	1	2	yes	—
285	C₁₃×#124	C₂³	1	2	yes	—
286	C₁₃×#124	C₂³	1	2	yes	—
287	C₁₃×#124	C₂³	1	2	yes	—
288	C₁₃×#124	C₂³	1	4	yes	—
289	C₁₃×#124	C₂³	1	8	yes	—
290	C₁₃×#124	C₂³	1	4	yes	—
291	C₁₃×#124	C₂³	1	8	yes	—
292	C₁₃×#124	C₂³	1	4	yes	—
293	C₁₃×#124	C₂³	1	2	yes	—
294	C₁₃×#124	C₂³	1	4	yes	—
295	C₁₃×#124	C₂³	1	8	yes	—
296	C₁₃×#124	C₂³	1	8	yes	—
297	C₁₃×#124	C₂³	1	8	yes	—
298	C₁₃×#124	C₂³	1	8	yes	—
299	C₁₃×#123	C₂³	1	4	yes	—
300	C₁₃×#123	C₂³	1	4	yes	—
301	C₁₃×#123	C₂³	1	8	yes	—
302	C₁₃×#123	C₂³	1	8	yes	—
303	C₁₃×#123	C₂³	1	8	yes	—
304	C₁₃×#123	C₂³	1	8	yes	—
305	C₁₃×#123	C₂³	1	8	yes	—
306	C₁₃×#123	C₂³	1	4	yes	—
307	C₁₃×#123	C₂³	1	8	yes	—
308	C₁₃×#123	C₂³	1	4	yes	—
309	C₁₃×#123	C₂³	1	8	yes	—
310	C₁₃×#123	C₂³	1	4	yes	—
311	C₁₃×#123	C₂³	1	8	yes	—
312	C₁₃×#123	C₂³	1	4	yes	—
313	C₁₃×#123	C₂³	1	8	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×C₂²⋊Q₈	C₂³	1	4	yes	—
322	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
323	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
324	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
325	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
326	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
327	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
328	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
329	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
330	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
332	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
333	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
334	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
335	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
336	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
338	C₁₃×C₂²⋊Q₈	C₂³	1	2	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	4	yes	—
344	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
345	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
346	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
347	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
348	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
349	C₁₃×C₂²⋊Q₈	C₂³	1	4	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	8	yes	—
354	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
355	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
356	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
357	C₁₃×C₂²⋊Q₈	C₂³	1	8	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×#121	C₂³	1	2	yes	—
364	C₁₃×#121	C₂³	1	4	yes	—
365	C₁₃×#121	C₂³	1	8	yes	—
366	C₁₃×#121	C₂³	1	4	yes	—
367	C₁₃×#121	C₂³	1	8	yes	—
368	C₁₃×#121	C₂³	1	8	yes	—
369	C₁₃×#121	C₂³	1	4	yes	—
370	C₁₃×#121	C₂³	1	4	yes	—
371	C₁₃×#121	C₂³	1	2	yes	—
372	C₁₃×#121	C₂³	1	2	yes	—
373	C₁₃×#121	C₂³	1	2	yes	—
374	C₁₃×#121	C₂³	1	4	yes	—
375	C₁₃×#121	C₂³	1	2	yes	—
376	C₁₃×#121	C₂³	1	4	yes	—
377	C₁₃×#121	C₂³	1	2	yes	—
378	C₁₃×#121	C₂³	1	4	yes	—
379	C₁₃×#121	C₂³	1	4	yes	—
380	C₁₃×#121	C₂³	1	2	yes	—
381	C₁₃×#121	C₂³	1	4	yes	—
382	C₁₃×#121	C₂³	1	2	yes	—
383	C₁₃×#121	C₂³	1	4	yes	—
384	C₁₃×#121	C₂³	1	8	yes	—
385	C₁₃×#121	C₂³	1	2	yes	—
386	C₁₃×#121	C₂³	1	4	yes	—
387	C₁₃×#121	C₂³	1	8	yes	—
388	C₁₃×#121	C₂³	1	4	yes	—
389	C₁₃×#121	C₂³	1	4	yes	—
390	C₁₃×#121	C₂³	1	8	yes	—
391	C₁₃×#121	C₂³	1	8	yes	—
392	C₁₃×#121	C₂³	1	8	yes	—
393	C₁₃×#121	C₂³	1	8	yes	—
394	C₁₃×#121	C₂³	1	8	yes	—
395	C₁₃×#120	C₂³	1	4	yes	—
396	C₁₃×#120	C₂³	1	8	yes	—
397	C₁₃×#120	C₂³	1	4	yes	—
398	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
399	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
400	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
401	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
402	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
403	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
404	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
405	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
406	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
407	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
408	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
409	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
410	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
411	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
412	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
413	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
414	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
415	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
416	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
417	C₄×Q₈×C₁₃	C₂³	1	2	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	2	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×D₄×C₁₃	C₂³	1	2	yes	—
429	C₄×D₄×C₁₃	C₂³	1	2	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	4	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	2	yes	—
438	C₄×D₄×C₁₃	C₂³	1	4	yes	—
439	C₄×D₄×C₁₃	C₂³	1	4	yes	—
440	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
441	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
442	C₄×D₄×C₁₃	C₂³	1	2	yes	—
443	C₄×D₄×C₁₃	C₂³	1	2	yes	—
444	C₄×D₄×C₁₃	C₂³	1	2	yes	—
445	C₄×D₄×C₁₃	C₂³	1	4	yes	—
446	C₄×D₄×C₁₃	C₂³	1	2	yes	—
447	C₄×D₄×C₁₃	C₂³	1	4	yes	—
448	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
449	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
450	C₄×D₄×C₁₃	C₂³	1	2	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	4	yes	—
455	C₄×D₄×C₁₃	C₂³	1	4	yes	—
456	C₄×D₄×C₁₃	C₂³	1	8	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	4	yes	—
461	C₄×D₄×C₁₃	C₂³	1	4	yes	—
462	C₄×D₄×C₁₃	C₂³	1	8	yes	—
463	C₄×D₄×C₁₃	C₂³	1	8	yes	—
464	C₄×D₄×C₁₃	C₂³	1	8	yes	—
465	C₄×D₄×C₁₃	C₂³	1	8	yes	—
466	C₄×D₄×C₁₃	C₂³	1	8	yes	—
467	C₄×D₄×C₁₃	C₂³	1	4	yes	—
468	C₄×D₄×C₁₃	C₂³	1	4	yes	—
469	C₄×D₄×C₁₃	C₂³	1	4	yes	—
470	C₄×D₄×C₁₃	C₂³	1	8	yes	—
471	C₄×D₄×C₁₃	C₂³	1	4	yes	—
472	C₄×D₄×C₁₃	C₂³	1	2	yes	—
473	C₄×D₄×C₁₃	C₂³	1	8	yes	—
474	C₁₃×#117	C₂³	1	1	yes	characteristic
475	C₁₃×#117	C₂³	1	1	yes	characteristic
476	C₁₃×#117	C₂³	1	2	yes	—
477	C₁₃×#117	C₂³	1	4	yes	—
478	C₁₃×#117	C₂³	1	2	yes	—
479	C₁₃×#117	C₂³	1	4	yes	—
480	C₁₃×#117	C₂³	1	2	yes	—
481	C₁₃×#117	C₂³	1	2	yes	—
482	C₁₃×#117	C₂³	1	4	yes	—
483	C₁₃×#117	C₂³	1	4	yes	—
484	C₁₃×#117	C₂³	1	4	yes	—
485	C₁₃×#117	C₂³	1	4	yes	—
486	C₁₃×#117	C₂³	1	4	yes	—
487	C₁₃×#117	C₂³	1	4	yes	—
488	C₁₃×#117	C₂³	1	8	yes	—
489	C₁₃×#117	C₂³	1	4	yes	—
490	C₁₃×#117	C₂³	1	8	yes	—
491	C₁₃×#117	C₂³	1	8	yes	—
492	C₁₃×#117	C₂³	1	8	yes	—
493	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
494	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
495	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
496	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
497	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
498	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
499	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
503	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	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	8	yes	—
508	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
509	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
510	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
511	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
512	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
513	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
514	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
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	#62926	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
520	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
521	C₁₃×#41	—	2	4	no	—
522	C₁₃×#41	—	2	4	no	—
523	C₁₃×#41	—	2	8	no	—
524	C₁₃×#41	—	4	8	no	—
525	C₁₃×#41	—	4	8	no	—
526	C₁₃×#41	—	4	4	no	—
527	C₁₃×#41	—	8	8	no	—
528	C₁₃×#41	—	8	8	no	—
529	C₁₃×#41	—	8	4	no	—
530	C₂×Q₈×C₁₃	—	4	2	no	—
531	C₂×Q₈×C₁₃	—	4	4	no	—
532	C₂×Q₈×C₁₃	—	8	2	no	—
533	C₂×Q₈×C₁₃	—	8	4	no	—
534	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
536	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
537	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
538	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
539	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
540	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
541	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
542	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
543	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
544	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
545	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
546	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
547	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
548	C₂×D₄×C₁₃	—	2	4	no	—
549	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
550	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
551	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
552	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
553	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
555	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
556	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
557	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
558	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
559	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
560	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
561	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
562	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
563	C₂×D₄×C₁₃	C₂⁴	1	4	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	—	4	4	no	—
570	C₂²×C₄×C₁₃	—	8	4	no	—
571	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
572	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
574	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
575	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
576	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
577	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
578	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
579	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
581	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
582	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
583	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
584	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
585	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
586	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
587	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
588	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
589	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
590	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
591	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
592	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
593	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
594	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
595	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
596	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
599	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
601	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
602	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
603	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
604	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
605	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
606	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
607	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
608	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
609	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
610	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
611	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
612	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
613	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
614	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
615	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
616	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
617	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
618	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
619	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
620	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
621	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
622	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
623	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
624	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
625	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
626	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
627	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
628	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
629	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
630	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
631	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
632	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
633	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
634	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
635	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
636	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
638	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
639	C₁₃×C₄⋊C₄	C₂⁴	1	2	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	4	yes	—
649	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
650	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
651	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
652	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
653	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
654	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
655	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
656	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
657	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
658	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
659	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
660	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
661	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
662	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
663	C₁₃×C₂²⋊C₄	C₂⁴	1	2	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	8	yes	—
669	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
670	C₁₃×C₂²⋊C₄	C₂⁴	1	4	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	8	yes	—
675	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
676	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
677	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
678	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
679	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
680	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
681	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
682	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
683	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
684	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
685	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
686	C₄²×C₁₃	C₂⁴	1	2	yes	—
687	C₄²×C₁₃	C₂⁴	1	2	yes	—
688	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
689	C₄²×C₁₃	C₂⁴	1	2	yes	—
690	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
691	C₄²×C₁₃	C₂⁴	1	4	yes	—
692	C₄²×C₁₃	C₂⁴	1	4	yes	—
693	C₄²×C₁₃	C₂⁴	1	2	yes	—
694	C₄²×C₁₃	C₂⁴	1	2	yes	—
695	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
696	C₄²×C₁₃	C₂⁴	1	2	yes	—
697	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
698	C₄²×C₁₃	C₂⁴	1	2	yes	—
699	C₄²×C₁₃	C₂⁴	1	2	yes	—
700	C₄²×C₁₃	C₂⁴	1	4	yes	—
701	C₄²×C₁₃	C₂⁴	1	4	yes	—
702	C₄²×C₁₃	C₂⁴	1	2	yes	—
703	C₄²×C₁₃	C₂⁴	1	4	yes	—
704	C₄²×C₁₃	C₂⁴	1	2	yes	—
705	C₄²×C₁₃	C₂⁴	1	8	yes	—
706	C₄²×C₁₃	C₂⁴	1	8	yes	—
707	C₄²×C₁₃	C₂⁴	1	8	yes	—
708	#3565	C₂×C₁₃	1	4	yes	complemented
709	#3559	C₂×C₁₃	1	4	yes	complemented
710	#3557	C₂×C₁₃	1	4	yes	complemented
711	#3555	C₂×C₁₃	1	2	yes	complemented
712	#3554	C₂×C₁₃	1	4	yes	complemented
713	#3548	C₂×C₁₃	1	2	yes	complemented
714	#3547	C₂×C₁₃	1	2	yes	complemented
715	#3544	C₂×C₁₃	1	2	yes	complemented
716	#3541	C₂×C₁₃	1	4	yes	complemented
717	#3541	C₂×C₁₃	1	8	yes	complemented
718	#3522	C₂×C₁₃	1	2	yes	complemented
719	#3515	C₂×C₁₃	1	2	yes	complemented
720	#3512	C₂×C₁₃	1	2	yes	complemented
721	#3511	C₂×C₁₃	1	1	yes	characteristic, complemented
722	#3511	C₂×C₁₃	1	2	yes	complemented
723	#3507	C₂×C₁₃	1	2	yes	complemented
724	#3506	C₂×C₁₃	1	2	yes	complemented
725	#3506	C₂×C₁₃	1	1	yes	characteristic, complemented
726	#3504	C₂×C₁₃	1	2	yes	complemented
727	#3503	C₂×C₁₃	1	1	yes	characteristic, complemented
728	#3492	C₂×C₁₃	1	4	yes	complemented
729	#3480	C₂×C₁₃	1	1	yes	characteristic, complemented
730	Q₈×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
731	C₂×#554	C₂×C₁₃	1	1	yes	characteristic, complemented
732	#3460	C₂×C₁₃	1	1	yes	characteristic, complemented
733	#3460	C₂×C₁₃	1	2	yes	complemented
734	C₂³×C₁₃	—	2	4	no	—
735	C₂³×C₁₃	—	4	2	no	—
736	C₂³×C₁₃	—	4	2	no	—
737	C₂³×C₁₃	C₂⁵	1	4	yes	—
738	C₂³×C₁₃	C₂⁵	1	2	yes	—
739	C₂³×C₁₃	C₂⁵	1	2	yes	—
740	C₂³×C₁₃	C₂⁵	1	4	yes	—
741	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
742	Q₈×C₁₃	—	2	2	no	—
743	Q₈×C₁₃	—	2	4	no	—
744	Q₈×C₁₃	—	2	2	no	—
745	Q₈×C₁₃	—	2	2	no	—
746	Q₈×C₁₃	—	2	2	no	—
747	Q₈×C₁₃	—	2	4	no	—
748	Q₈×C₁₃	—	4	2	no	—
749	Q₈×C₁₃	—	4	4	no	—
750	Q₈×C₁₃	—	4	4	no	—
751	Q₈×C₁₃	—	4	2	no	—
752	Q₈×C₁₃	—	4	4	no	—
753	Q₈×C₁₃	—	4	8	no	—
754	Q₈×C₁₃	—	4	4	no	—
755	Q₈×C₁₃	—	4	4	no	—
756	D₄×C₁₃	—	2	4	no	—
757	D₄×C₁₃	—	2	4	no	—
758	D₄×C₁₃	—	2	8	no	—
759	D₄×C₁₃	—	2	4	no	—
760	D₄×C₁₃	—	2	4	no	—
761	D₄×C₁₃	—	2	2	no	—
762	D₄×C₁₃	—	2	2	no	—
763	D₄×C₁₃	—	2	4	no	—
764	D₄×C₁₃	—	2	4	no	—
765	D₄×C₁₃	—	4	4	no	—
766	D₄×C₁₃	—	4	4	no	—
767	D₄×C₁₃	—	4	4	no	—
768	D₄×C₁₃	—	4	8	no	—
769	D₄×C₁₃	—	4	4	no	—
770	D₄×C₁₃	—	4	4	no	—
771	D₄×C₁₃	—	4	4	no	—
772	D₄×C₁₃	—	4	8	no	—
773	D₄×C₁₃	—	4	4	no	—
774	D₄×C₁₃	—	4	8	no	—
775	D₄×C₁₃	—	4	2	no	—
776	C₂×C₄×C₁₃	—	2	8	no	—
777	C₂×C₄×C₁₃	—	2	4	no	—
778	C₂×C₄×C₁₃	—	2	4	no	—
779	C₂×C₄×C₁₃	—	2	2	no	—
780	C₂×C₄×C₁₃	—	2	8	no	—
781	C₂×C₄×C₁₃	—	2	4	no	—
782	C₂×C₄×C₁₃	—	2	4	no	—
783	C₂×C₄×C₁₃	—	4	2	no	—
784	C₂×C₄×C₁₃	—	4	4	no	—
785	C₂×C₄×C₁₃	—	4	2	no	—
786	C₂×C₄×C₁₃	—	4	4	no	—
787	C₂×C₄×C₁₃	—	4	8	no	—
788	C₂×C₄×C₁₃	—	4	8	no	—
789	C₂×C₄×C₁₃	—	4	2	no	—
790	C₂×C₄×C₁₃	—	4	4	no	—
791	C₂×C₄×C₁₃	—	4	1	no	—
792	C₂×C₄×C₁₃	—	4	2	no	—
793	C₂×C₄×C₁₃	—	4	8	no	—
794	C₂×C₄×C₁₃	—	4	8	no	—
795	C₂×C₄×C₁₃	—	4	4	no	—
796	C₂×C₄×C₁₃	—	4	4	no	—
797	C₂×C₄×C₁₃	—	4	4	no	—
798	C₂×C₄×C₁₃	—	4	8	no	—
799	C₂×C₄×C₁₃	—	4	2	no	—
800	C₂×C₄×C₁₃	2₋¹⁺⁴	1	4	yes	—
801	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
802	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
803	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
804	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
805	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
806	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
807	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
808	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
809	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
810	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
811	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
812	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
813	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
814	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
815	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
816	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
817	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
818	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
819	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
820	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
821	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
822	#563	C₂²×C₁₃	1	8	yes	complemented
823	#563	C₂²×C₁₃	1	8	yes	complemented
824	#563	C₂²×C₁₃	1	8	yes	complemented
825	#562	C₂²×C₁₃	1	8	yes	complemented
826	#562	C₂²×C₁₃	1	8	yes	complemented
827	#562	C₂²×C₁₃	1	8	yes	complemented
828	#559	C₂²×C₁₃	1	4	yes	—
829	#559	C₂²×C₁₃	1	4	yes	—
830	#559	C₂²×C₁₃	1	4	yes	—
831	#559	C₂²×C₁₃	1	1	yes	characteristic, complemented
832	#559	C₂²×C₁₃	1	2	yes	complemented
833	Q₈²	C₂²×C₁₃	1	1	yes	characteristic, complemented
834	Q₈²	C₂²×C₁₃	1	2	yes	complemented
835	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
836	#557	C₂²×C₁₃	1	2	yes	complemented
837	#557	C₂²×C₁₃	1	1	yes	characteristic, complemented
838	#557	C₂²×C₁₃	1	2	yes	complemented
839	#557	C₂²×C₁₃	1	4	yes	complemented
840	#557	C₂²×C₁₃	1	4	yes	complemented
841	#556	C₂²×C₁₃	1	2	yes	—
842	#556	C₂²×C₁₃	1	4	yes	—
843	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
844	#556	C₂²×C₁₃	1	2	yes	complemented
845	#556	C₂²×C₁₃	1	8	yes	complemented
846	#556	C₂²×C₁₃	1	4	yes	complemented
847	#556	C₂²×C₁₃	1	2	yes	complemented
848	#555	C₂²×C₁₃	1	2	yes	—
849	#555	C₂²×C₁₃	1	4	yes	—
850	#555	C₂²×C₁₃	1	2	yes	complemented
851	#554	C₂²×C₁₃	1	2	yes	—
852	#554	C₂²×C₁₃	1	2	yes	—
853	#554	C₂²×C₁₃	1	2	yes	—
854	#554	C₂²×C₁₃	1	2	yes	—
855	#554	C₂²×C₁₃	1	4	yes	—
856	#554	C₂²×C₁₃	1	4	yes	—
857	#554	C₂²×C₁₃	1	2	yes	—
858	#554	C₂²×C₁₃	1	4	yes	—
859	#554	C₂²×C₁₃	1	4	yes	—
860	#554	C₂²×C₁₃	1	8	yes	—
861	#554	C₂²×C₁₃	1	8	yes	—
862	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
863	#554	C₂²×C₁₃	1	2	yes	complemented
864	#554	C₂²×C₁₃	1	2	yes	complemented
865	#554	C₂²×C₁₃	1	4	yes	complemented
866	#554	C₂²×C₁₃	1	4	yes	complemented
867	#554	C₂²×C₁₃	1	2	yes	complemented
868	#553	C₂²×C₁₃	1	2	yes	—
869	#553	C₂²×C₁₃	1	4	yes	—
870	#553	C₂²×C₁₃	1	4	yes	—
871	#553	C₂²×C₁₃	1	8	yes	—
872	#553	C₂²×C₁₃	1	4	yes	—
873	#553	C₂²×C₁₃	1	4	yes	—
874	#553	C₂²×C₁₃	1	4	yes	—
875	#553	C₂²×C₁₃	1	8	yes	—
876	#553	C₂²×C₁₃	1	4	yes	complemented
877	#553	C₂²×C₁₃	1	4	yes	complemented
878	#552	C₂²×C₁₃	1	4	yes	complemented
879	#552	C₂²×C₁₃	1	4	yes	complemented
880	#552	C₂²×C₁₃	1	8	yes	complemented
881	#552	C₂²×C₁₃	1	4	yes	complemented
882	#552	C₂²×C₁₃	1	4	yes	complemented
883	#552	C₂²×C₁₃	1	4	yes	complemented
884	#552	C₂²×C₁₃	1	8	yes	complemented
885	#550	C₂²×C₁₃	1	2	yes	—
886	#550	C₂²×C₁₃	1	4	yes	—
887	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
888	D₄×Q₈	C₂²×C₁₃	1	2	yes	—
889	D₄×Q₈	C₂²×C₁₃	1	4	yes	—
890	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
891	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
892	#548	C₂²×C₁₃	1	2	yes	—
893	#548	C₂²×C₁₃	1	4	yes	—
894	#548	C₂²×C₁₃	1	8	yes	complemented
895	#548	C₂²×C₁₃	1	4	yes	complemented
896	#547	C₂²×C₁₃	1	2	yes	—
897	#547	C₂²×C₁₃	1	4	yes	—
898	#547	C₂²×C₁₃	1	4	yes	complemented
899	#547	C₂²×C₁₃	1	4	yes	complemented
900	#547	C₂²×C₁₃	1	8	yes	complemented
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	#544	C₂²×C₁₃	1	2	yes	—
905	#544	C₂²×C₁₃	1	1	yes	characteristic
906	#544	C₂²×C₁₃	1	4	yes	complemented
907	#544	C₂²×C₁₃	1	4	yes	complemented
908	#544	C₂²×C₁₃	1	4	yes	complemented
909	#544	C₂²×C₁₃	1	4	yes	complemented
910	#542	C₂²×C₁₃	1	4	yes	—
911	#542	C₂²×C₁₃	1	4	yes	—
912	#542	C₂²×C₁₃	1	2	yes	—
913	#542	C₂²×C₁₃	1	2	yes	—
914	#542	C₂²×C₁₃	1	8	yes	complemented
915	#542	C₂²×C₁₃	1	4	yes	complemented
916	#542	C₂²×C₁₃	1	4	yes	complemented
917	#542	C₂²×C₁₃	1	8	yes	complemented
918	#542	C₂²×C₁₃	1	8	yes	complemented
919	#542	C₂²×C₁₃	1	8	yes	complemented
920	#541	C₂²×C₁₃	1	4	yes	complemented
921	#541	C₂²×C₁₃	1	4	yes	complemented
922	#541	C₂²×C₁₃	1	8	yes	complemented
923	#540	C₂²×C₁₃	1	4	yes	—
924	#540	C₂²×C₁₃	1	4	yes	—
925	#540	C₂²×C₁₃	1	2	yes	—
926	#540	C₂²×C₁₃	1	2	yes	—
927	#540	C₂²×C₁₃	1	4	yes	complemented
928	#539	C₂²×C₁₃	1	8	yes	complemented
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	#538	C₂²×C₁₃	1	4	yes	—
934	#538	C₂²×C₁₃	1	8	yes	—
935	#538	C₂²×C₁₃	1	8	yes	—
936	#538	C₂²×C₁₃	1	4	yes	—
937	#537	C₂²×C₁₃	1	2	yes	—
938	#537	C₂²×C₁₃	1	1	yes	characteristic
939	#537	C₂²×C₁₃	1	4	yes	complemented
940	#537	C₂²×C₁₃	1	4	yes	complemented
941	#537	C₂²×C₁₃	1	8	yes	complemented
942	#536	C₂²×C₁₃	1	4	yes	complemented
943	#536	C₂²×C₁₃	1	8	yes	complemented
944	#535	C₂²×C₁₃	1	1	yes	characteristic
945	#535	C₂²×C₁₃	1	1	yes	characteristic
946	#535	C₂²×C₁₃	1	2	yes	—
947	#533	C₂²×C₁₃	1	1	yes	characteristic
948	#533	C₂²×C₁₃	1	2	yes	—
949	#533	C₂²×C₁₃	1	2	yes	complemented
950	#533	C₂²×C₁₃	1	4	yes	complemented
951	#533	C₂²×C₁₃	1	2	yes	complemented
952	#533	C₂²×C₁₃	1	4	yes	complemented
953	#533	C₂²×C₁₃	1	2	yes	complemented
954	#532	C₂²×C₁₃	1	2	yes	—
955	#532	C₂²×C₁₃	1	2	yes	—
956	#532	C₂²×C₁₃	1	4	yes	—
957	#532	C₂²×C₁₃	1	4	yes	—
958	#532	C₂²×C₁₃	1	1	yes	characteristic
959	#532	C₂²×C₁₃	1	2	yes	—
960	#532	C₂²×C₁₃	1	2	yes	complemented
961	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
962	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
963	#529	C₂²×C₁₃	1	4	yes	—
964	#529	C₂²×C₁₃	1	2	yes	—
965	#529	C₂²×C₁₃	1	4	yes	—
966	#529	C₂²×C₁₃	1	2	yes	—
967	#529	C₂²×C₁₃	1	2	yes	complemented
968	#529	C₂²×C₁₃	1	4	yes	complemented
969	#529	C₂²×C₁₃	1	4	yes	complemented
970	#529	C₂²×C₁₃	1	4	yes	complemented
971	C₂×#125	C₂²×C₁₃	1	2	yes	—
972	C₂×#125	C₂²×C₁₃	1	4	yes	complemented
973	#525	C₂²×C₁₃	1	4	yes	—
974	#525	C₂²×C₁₃	1	8	yes	—
975	#525	C₂²×C₁₃	1	4	yes	—
976	#525	C₂²×C₁₃	1	8	yes	—
977	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	—
978	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	—
979	#520	C₂²×C₁₃	1	2	yes	—
980	#520	C₂²×C₁₃	1	2	yes	—
981	#520	C₂²×C₁₃	1	2	yes	—
982	#520	C₂²×C₁₃	1	4	yes	complemented
983	#520	C₂²×C₁₃	1	4	yes	complemented
984	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
985	C₄×#41	C₂²×C₁₃	1	2	yes	—
986	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
987	C₄×#41	C₂²×C₁₃	1	2	yes	—
988	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
989	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
990	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
991	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
992	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
993	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	—
994	C₂²×C₁₃	—	2	1	no	—
995	C₂²×C₁₃	—	2	1	no	—
996	C₂²×C₁₃	—	2	2	no	—
997	C₂²×C₁₃	—	2	2	no	—
998	C₂²×C₁₃	—	2	4	no	—
999	C₂²×C₁₃	—	2	4	no	—
1000	C₂²×C₁₃	—	2	2	no	—
1001	C₂²×C₁₃	—	2	4	no	—
1002	C₂²×C₁₃	—	2	2	no	—
1003	C₂²×C₁₃	—	2	4	no	—
1004	C₂²×C₁₃	—	2	2	no	—
1005	C₂²×C₁₃	—	2	4	no	—
1006	C₂²×C₁₃	—	2	2	no	—
1007	C₂²×C₁₃	—	2	4	no	—
1008	C₂²×C₁₃	—	4	8	no	—
1009	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1010	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1011	C₄×C₁₃	—	2	4	no	—
1012	C₄×C₁₃	—	2	2	no	—
1013	C₄×C₁₃	—	2	2	no	—
1014	C₄×C₁₃	—	2	4	no	—
1015	C₄×C₁₃	—	2	1	no	—
1016	C₄×C₁₃	—	2	2	no	—
1017	C₄×C₁₃	—	2	2	no	—
1018	C₄×C₁₃	—	2	2	no	—
1019	C₄×C₁₃	—	2	4	no	—
1020	C₄×C₁₃	—	2	2	no	—
1021	C₄×C₁₃	—	2	2	no	—
1022	C₄×C₁₃	—	2	2	no	—
1023	C₄×C₁₃	—	2	2	no	—
1024	C₄×C₁₃	—	2	8	no	—
1025	C₄×C₁₃	—	2	1	no	—
1026	C₄×C₁₃	—	2	2	no	—
1027	C₄×C₁₃	—	2	4	no	—
1028	C₄×C₁₃	—	2	1	no	—
1029	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1030	C₄×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1031	C₄×C₁₃	#585	1	2	yes	—
1032	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂×#41	C₂³×C₁₃	1	2	yes	—
1035	C₂×#41	C₂³×C₁₃	1	2	yes	—
1036	C₂×#41	C₂³×C₁₃	1	4	yes	—
1037	C₂×#41	C₂³×C₁₃	1	4	yes	—
1038	C₂×#41	C₂³×C₁₃	1	8	yes	—
1039	C₂×#41	C₂³×C₁₃	1	8	yes	—
1040	C₂×#41	C₂³×C₁₃	1	4	yes	—
1041	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1043	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1044	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1045	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
1047	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
1048	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1049	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1050	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1051	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1052	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1053	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1054	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1055	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1056	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1057	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1058	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1059	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1060	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1061	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1062	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1063	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1064	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1065	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1066	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1067	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1068	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1069	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1070	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1071	#127	C₂³×C₁₃	1	2	yes	—
1072	#127	C₂³×C₁₃	1	1	yes	characteristic
1073	#127	C₂³×C₁₃	1	4	yes	—
1074	#127	C₂³×C₁₃	1	2	yes	—
1075	#127	C₂³×C₁₃	1	2	yes	—
1076	#126	C₂³×C₁₃	1	8	yes	—
1077	#126	C₂³×C₁₃	1	4	yes	—
1078	#126	C₂³×C₁₃	1	4	yes	—
1079	#126	C₂³×C₁₃	1	8	yes	—
1080	#126	C₂³×C₁₃	1	4	yes	—
1081	#126	C₂³×C₁₃	1	8	yes	—
1082	#126	C₂³×C₁₃	1	4	yes	—
1083	#126	C₂³×C₁₃	1	8	yes	—
1084	#126	C₂³×C₁₃	1	4	yes	—
1085	#126	C₂³×C₁₃	1	8	yes	—
1086	#126	C₂³×C₁₃	1	8	yes	—
1087	#126	C₂³×C₁₃	1	8	yes	—
1088	#126	C₂³×C₁₃	1	8	yes	—
1089	#126	C₂³×C₁₃	1	8	yes	—
1090	#126	C₂³×C₁₃	1	8	yes	—
1091	#125	C₂³×C₁₃	1	4	yes	—
1092	#125	C₂³×C₁₃	1	4	yes	—
1093	#125	C₂³×C₁₃	1	4	yes	—
1094	#125	C₂³×C₁₃	1	4	yes	—
1095	#125	C₂³×C₁₃	1	2	yes	—
1096	#125	C₂³×C₁₃	1	2	yes	—
1097	#125	C₂³×C₁₃	1	4	yes	—
1098	#125	C₂³×C₁₃	1	8	yes	—
1099	#125	C₂³×C₁₃	1	8	yes	—
1100	#125	C₂³×C₁₃	1	2	yes	—
1101	#125	C₂³×C₁₃	1	4	yes	—
1102	#125	C₂³×C₁₃	1	4	yes	—
1103	#125	C₂³×C₁₃	1	2	yes	—
1104	#125	C₂³×C₁₃	1	2	yes	—
1105	#125	C₂³×C₁₃	1	2	yes	—
1106	#125	C₂³×C₁₃	1	4	yes	—
1107	#125	C₂³×C₁₃	1	4	yes	—
1108	#125	C₂³×C₁₃	1	4	yes	—
1109	#125	C₂³×C₁₃	1	4	yes	—
1110	#125	C₂³×C₁₃	1	8	yes	—
1111	#125	C₂³×C₁₃	1	8	yes	—
1112	#125	C₂³×C₁₃	1	8	yes	—
1113	#125	C₂³×C₁₃	1	8	yes	—
1114	#125	C₂³×C₁₃	1	8	yes	—
1115	#124	C₂³×C₁₃	1	2	yes	—
1116	#124	C₂³×C₁₃	1	4	yes	—
1117	#124	C₂³×C₁₃	1	2	yes	—
1118	#124	C₂³×C₁₃	1	2	yes	—
1119	#124	C₂³×C₁₃	1	2	yes	—
1120	#124	C₂³×C₁₃	1	2	yes	—
1121	#124	C₂³×C₁₃	1	4	yes	—
1122	#124	C₂³×C₁₃	1	8	yes	—
1123	#124	C₂³×C₁₃	1	4	yes	—
1124	#124	C₂³×C₁₃	1	8	yes	—
1125	#124	C₂³×C₁₃	1	4	yes	—
1126	#124	C₂³×C₁₃	1	2	yes	—
1127	#124	C₂³×C₁₃	1	4	yes	—
1128	#124	C₂³×C₁₃	1	8	yes	—
1129	#124	C₂³×C₁₃	1	8	yes	—
1130	#124	C₂³×C₁₃	1	8	yes	—
1131	#124	C₂³×C₁₃	1	8	yes	—
1132	#123	C₂³×C₁₃	1	4	yes	—
1133	#123	C₂³×C₁₃	1	4	yes	—
1134	#123	C₂³×C₁₃	1	8	yes	—
1135	#123	C₂³×C₁₃	1	8	yes	—
1136	#123	C₂³×C₁₃	1	8	yes	—
1137	#123	C₂³×C₁₃	1	8	yes	—
1138	#123	C₂³×C₁₃	1	8	yes	—
1139	#123	C₂³×C₁₃	1	4	yes	—
1140	#123	C₂³×C₁₃	1	8	yes	—
1141	#123	C₂³×C₁₃	1	4	yes	—
1142	#123	C₂³×C₁₃	1	8	yes	—
1143	#123	C₂³×C₁₃	1	4	yes	—
1144	#123	C₂³×C₁₃	1	8	yes	—
1145	#123	C₂³×C₁₃	1	4	yes	—
1146	#123	C₂³×C₁₃	1	8	yes	—
1147	#123	C₂³×C₁₃	1	4	yes	—
1148	#123	C₂³×C₁₃	1	8	yes	—
1149	#123	C₂³×C₁₃	1	8	yes	—
1150	#123	C₂³×C₁₃	1	8	yes	—
1151	#123	C₂³×C₁₃	1	8	yes	—
1152	#123	C₂³×C₁₃	1	8	yes	—
1153	#123	C₂³×C₁₃	1	8	yes	—
1154	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1155	C₂²⋊Q₈	C₂³×C₁₃	1	8	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	8	yes	—
1160	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1161	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1162	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1163	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1164	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1165	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1166	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1167	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1168	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1169	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1170	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1171	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1172	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1173	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1174	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1175	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1176	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1177	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1178	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1179	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1180	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1181	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1182	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1183	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1184	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1185	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1186	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1187	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1188	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1189	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1190	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1191	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1192	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1193	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1194	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1195	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1196	#121	C₂³×C₁₃	1	2	yes	—
1197	#121	C₂³×C₁₃	1	4	yes	—
1198	#121	C₂³×C₁₃	1	8	yes	—
1199	#121	C₂³×C₁₃	1	4	yes	—
1200	#121	C₂³×C₁₃	1	8	yes	—
1201	#121	C₂³×C₁₃	1	8	yes	—
1202	#121	C₂³×C₁₃	1	4	yes	—
1203	#121	C₂³×C₁₃	1	4	yes	—
1204	#121	C₂³×C₁₃	1	2	yes	—
1205	#121	C₂³×C₁₃	1	2	yes	—
1206	#121	C₂³×C₁₃	1	2	yes	—
1207	#121	C₂³×C₁₃	1	4	yes	—
1208	#121	C₂³×C₁₃	1	2	yes	—
1209	#121	C₂³×C₁₃	1	4	yes	—
1210	#121	C₂³×C₁₃	1	2	yes	—
1211	#121	C₂³×C₁₃	1	4	yes	—
1212	#121	C₂³×C₁₃	1	4	yes	—
1213	#121	C₂³×C₁₃	1	2	yes	—
1214	#121	C₂³×C₁₃	1	4	yes	—
1215	#121	C₂³×C₁₃	1	2	yes	—
1216	#121	C₂³×C₁₃	1	4	yes	—
1217	#121	C₂³×C₁₃	1	8	yes	—
1218	#121	C₂³×C₁₃	1	2	yes	—
1219	#121	C₂³×C₁₃	1	4	yes	—
1220	#121	C₂³×C₁₃	1	8	yes	—
1221	#121	C₂³×C₁₃	1	4	yes	—
1222	#121	C₂³×C₁₃	1	4	yes	—
1223	#121	C₂³×C₁₃	1	8	yes	—
1224	#121	C₂³×C₁₃	1	8	yes	—
1225	#121	C₂³×C₁₃	1	8	yes	—
1226	#121	C₂³×C₁₃	1	8	yes	—
1227	#121	C₂³×C₁₃	1	8	yes	—
1228	#120	C₂³×C₁₃	1	4	yes	—
1229	#120	C₂³×C₁₃	1	8	yes	—
1230	#120	C₂³×C₁₃	1	4	yes	—
1231	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	1	yes	characteristic
1236	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1237	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1238	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1239	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1240	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1241	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1242	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1243	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1244	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1245	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1246	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1247	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1248	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1249	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1250	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1251	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1252	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1253	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1254	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1255	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1256	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1257	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1258	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1259	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1260	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1261	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1262	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1263	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1264	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1265	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1266	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1267	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1268	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1269	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1270	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1271	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1272	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1273	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1274	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1275	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1276	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1277	C₄×D₄	C₂³×C₁₃	1	2	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	1	yes	characteristic
1282	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
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	8	yes	—
1290	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1291	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1292	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1293	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1294	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1295	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1296	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1297	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1298	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1299	C₄×D₄	C₂³×C₁₃	1	8	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	4	yes	—
1305	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1306	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1307	#117	C₂³×C₁₃	1	1	yes	characteristic
1308	#117	C₂³×C₁₃	1	1	yes	characteristic
1309	#117	C₂³×C₁₃	1	2	yes	—
1310	#117	C₂³×C₁₃	1	4	yes	—
1311	#117	C₂³×C₁₃	1	2	yes	—
1312	#117	C₂³×C₁₃	1	4	yes	—
1313	#117	C₂³×C₁₃	1	2	yes	—
1314	#117	C₂³×C₁₃	1	2	yes	—
1315	#117	C₂³×C₁₃	1	4	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	8	yes	—
1322	#117	C₂³×C₁₃	1	4	yes	—
1323	#117	C₂³×C₁₃	1	8	yes	—
1324	#117	C₂³×C₁₃	1	8	yes	—
1325	#117	C₂³×C₁₃	1	8	yes	—
1326	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1327	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1328	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1329	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1330	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1331	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1332	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1333	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1334	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1335	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1336	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1337	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1338	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1339	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1340	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1341	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1342	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1343	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1344	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1345	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1346	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1347	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1348	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1349	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1350	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1351	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1352	C₂×C₁₃	—	2	2	no	—
1353	C₂×C₁₃	—	4	2	no	—
1354	C₂×C₁₃	—	4	2	no	—
1355	C₂×C₁₃	—	4	4	no	—
1356	C₂×C₁₃	—	4	4	no	—
1357	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1358	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1359	C₂×C₁₃	H(7,𝔽₂)	1	1	yes	characteristic
1360	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1361	#41	—	2	4	no	—
1362	#41	—	2	4	no	—
1363	#41	—	2	8	no	—
1364	#41	—	4	8	no	—
1365	#41	—	4	8	no	—
1366	#41	—	4	4	no	—
1367	#41	—	8	8	no	—
1368	#41	—	8	8	no	—
1369	#41	—	8	4	no	—
1370	C₂×Q₈	—	4	2	no	—
1371	C₂×Q₈	—	4	4	no	—
1372	C₂×Q₈	—	8	2	no	—
1373	C₂×Q₈	—	8	4	no	—
1374	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1375	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1376	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1377	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1378	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1379	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1380	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1381	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1382	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1383	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1384	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1385	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1386	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1387	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1388	C₂×D₄	—	2	4	no	—
1389	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1390	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1391	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1392	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1393	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1394	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1395	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1396	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1397	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1398	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1399	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1400	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1401	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1402	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1403	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1404	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1405	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1406	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1407	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1408	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1409	C₂²×C₄	—	4	4	no	—
1410	C₂²×C₄	—	8	4	no	—
1411	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1412	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1413	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1414	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1415	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1416	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1417	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1418	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1419	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1420	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1421	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1422	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1423	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1424	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1425	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1426	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1427	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1428	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1429	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1430	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1431	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1432	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1433	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1434	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1435	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1436	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1437	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1438	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1439	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1440	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1441	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1442	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1443	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1444	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1445	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1446	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1447	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1448	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1449	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1450	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1451	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1452	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1453	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1454	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1455	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1456	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1457	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1458	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1459	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1460	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1461	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1462	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1463	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1464	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1465	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1466	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1467	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1468	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1469	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1470	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1471	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1472	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1473	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1474	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1475	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1476	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1477	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1478	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1479	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1480	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1481	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1482	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1483	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1484	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1485	C₄⋊C₄	C₂⁴×C₁₃	1	4	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	2	yes	—
1490	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1491	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1492	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1493	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1494	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1495	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1496	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1497	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1498	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1499	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1500	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1501	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1502	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1503	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1504	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1505	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1506	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1507	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1508	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1509	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1510	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1511	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1512	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1513	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1514	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1515	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1516	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1517	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1518	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1519	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1520	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1521	C₂²⋊C₄	C₂⁴×C₁₃	1	8	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	C₄²	C₂⁴×C₁₃	1	2	yes	—
1527	C₄²	C₂⁴×C₁₃	1	2	yes	—
1528	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1529	C₄²	C₂⁴×C₁₃	1	2	yes	—
1530	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1531	C₄²	C₂⁴×C₁₃	1	4	yes	—
1532	C₄²	C₂⁴×C₁₃	1	4	yes	—
1533	C₄²	C₂⁴×C₁₃	1	2	yes	—
1534	C₄²	C₂⁴×C₁₃	1	2	yes	—
1535	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1536	C₄²	C₂⁴×C₁₃	1	2	yes	—
1537	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1538	C₄²	C₂⁴×C₁₃	1	2	yes	—
1539	C₄²	C₂⁴×C₁₃	1	2	yes	—
1540	C₄²	C₂⁴×C₁₃	1	4	yes	—
1541	C₄²	C₂⁴×C₁₃	1	4	yes	—
1542	C₄²	C₂⁴×C₁₃	1	2	yes	—
1543	C₄²	C₂⁴×C₁₃	1	4	yes	—
1544	C₄²	C₂⁴×C₁₃	1	2	yes	—
1545	C₄²	C₂⁴×C₁₃	1	8	yes	—
1546	C₄²	C₂⁴×C₁₃	1	8	yes	—
1547	C₄²	C₂⁴×C₁₃	1	8	yes	—
1548	C₁₃	#62926	1	1	yes	characteristic, direct product factor, Sylow
1549	C₂³	—	2	4	no	—
1550	C₂³	—	4	2	no	—
1551	C₂³	—	4	2	no	—
1552	C₂³	C₂⁵×C₁₃	1	4	yes	—
1553	C₂³	C₂⁵×C₁₃	1	2	yes	—
1554	C₂³	C₂⁵×C₁₃	1	2	yes	—
1555	C₂³	C₂⁵×C₁₃	1	4	yes	—
1556	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1557	Q₈	—	2	2	no	—
1558	Q₈	—	2	4	no	—
1559	Q₈	—	2	2	no	—
1560	Q₈	—	2	2	no	—
1561	Q₈	—	2	2	no	—
1562	Q₈	—	2	4	no	—
1563	Q₈	—	4	2	no	—
1564	Q₈	—	4	4	no	—
1565	Q₈	—	4	4	no	—
1566	Q₈	—	4	2	no	—
1567	Q₈	—	4	4	no	—
1568	Q₈	—	4	8	no	—
1569	Q₈	—	4	4	no	—
1570	Q₈	—	4	4	no	—
1571	D₄	—	2	4	no	—
1572	D₄	—	2	4	no	—
1573	D₄	—	2	8	no	—
1574	D₄	—	2	4	no	—
1575	D₄	—	2	4	no	—
1576	D₄	—	2	2	no	—
1577	D₄	—	2	2	no	—
1578	D₄	—	2	4	no	—
1579	D₄	—	2	4	no	—
1580	D₄	—	4	4	no	—
1581	D₄	—	4	4	no	—
1582	D₄	—	4	4	no	—
1583	D₄	—	4	8	no	—
1584	D₄	—	4	4	no	—
1585	D₄	—	4	4	no	—
1586	D₄	—	4	4	no	—
1587	D₄	—	4	8	no	—
1588	D₄	—	4	4	no	—
1589	D₄	—	4	8	no	—
1590	D₄	—	4	2	no	—
1591	C₂×C₄	—	2	8	no	—
1592	C₂×C₄	—	2	4	no	—
1593	C₂×C₄	—	2	4	no	—
1594	C₂×C₄	—	2	2	no	—
1595	C₂×C₄	—	2	8	no	—
1596	C₂×C₄	—	2	4	no	—
1597	C₂×C₄	—	2	4	no	—
1598	C₂×C₄	—	4	2	no	—
1599	C₂×C₄	—	4	4	no	—
1600	C₂×C₄	—	4	2	no	—
1601	C₂×C₄	—	4	4	no	—
1602	C₂×C₄	—	4	8	no	—
1603	C₂×C₄	—	4	8	no	—
1604	C₂×C₄	—	4	2	no	—
1605	C₂×C₄	—	4	4	no	—
1606	C₂×C₄	—	4	1	no	—
1607	C₂×C₄	—	4	2	no	—
1608	C₂×C₄	—	4	8	no	—
1609	C₂×C₄	—	4	8	no	—
1610	C₂×C₄	—	4	4	no	—
1611	C₂×C₄	—	4	4	no	—
1612	C₂×C₄	—	4	4	no	—
1613	C₂×C₄	—	4	8	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	C₁₃×2₋¹⁺⁴	1	4	yes	—
1616	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1617	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1618	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1619	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1620	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1621	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1622	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1623	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1624	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1625	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1626	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1627	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1628	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1629	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1630	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1631	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1632	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1633	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1634	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1635	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1636	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	2	no	—
1640	C₂²	—	2	2	no	—
1641	C₂²	—	2	4	no	—
1642	C₂²	—	2	4	no	—
1643	C₂²	—	2	2	no	—
1644	C₂²	—	2	4	no	—
1645	C₂²	—	2	2	no	—
1646	C₂²	—	2	4	no	—
1647	C₂²	—	2	2	no	—
1648	C₂²	—	2	4	no	—
1649	C₂²	—	2	2	no	—
1650	C₂²	—	2	4	no	—
1651	C₂²	—	4	8	no	—
1652	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1653	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1654	C₄	—	2	4	no	—
1655	C₄	—	2	2	no	—
1656	C₄	—	2	2	no	—
1657	C₄	—	2	4	no	—
1658	C₄	—	2	1	no	—
1659	C₄	—	2	2	no	—
1660	C₄	—	2	2	no	—
1661	C₄	—	2	2	no	—
1662	C₄	—	2	4	no	—
1663	C₄	—	2	2	no	—
1664	C₄	—	2	2	no	—
1665	C₄	—	2	2	no	—
1666	C₄	—	2	2	no	—
1667	C₄	—	2	8	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	2	no	—
1670	C₄	—	2	4	no	—
1671	C₄	—	2	1	no	—
1672	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1673	C₄	C₂×C₁₃×2₋¹⁺⁴	1	2	yes	—
1674	C₄	C₁₃×#585	1	2	yes	—
1675	C₂	—	2	2	no	—
1676	C₂	—	4	4	no	—
1677	C₂	—	4	2	no	—
1678	C₂	—	4	2	no	—
1679	C₂	—	4	4	no	—
1680	C₂	C₂²×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1681	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1682	C₂	C₁₃×H(7,𝔽₂)	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×#3559	C₂	semidirect
3. C₁₃×#3557	C₂	semidirect
4. C₁₃×#3555	C₂	semidirect
5. C₁₃×#3554	C₂	semidirect
6. C₁₃×#3548	C₂	semidirect
7. C₁₃×#3547	C₂	semidirect
8. C₁₃×#3544	C₂	semidirect
9. C₁₃×#3541	C₂	semidirect
10. C₁₃×#3541	C₂	semidirect
11. C₁₃×#3522	C₂	semidirect
12. C₁₃×#3515	C₂	semidirect
13. C₁₃×#3512	C₂	semidirect
14. C₁₃×#3511	C₂	semidirect
15. C₁₃×#3511	C₂	semidirect
16. C₁₃×#3507	C₂	semidirect
17. C₁₃×#3506	C₂	semidirect
18. C₁₃×#3506	C₂	semidirect
19. C₁₃×#3504	C₂	semidirect
20. C₁₃×#3503	C₂	semidirect
21. C₁₃×#3492	C₂	semidirect
22. C₁₃×#3480	C₂	semidirect
23. Q₈×C₁₃×#41	C₂	semidirect
24. C₂×C₁₃×#554	C₂	semidirect
25. C₁₃×#3460	C₂	semidirect
26. C₁₃×#3460	C₂	semidirect
27. C₁₃×#563	C₂²	semidirect
28. C₁₃×#563	C₂²	semidirect
29. C₁₃×#563	C₂²	semidirect
30. C₁₃×#562	C₂²	semidirect
31. C₁₃×#562	C₂²	semidirect
32. C₁₃×#562	C₂²	semidirect
36. C₁₃×#559	C₂²	semidirect
37. C₁₃×#559	C₂²	semidirect
38. Q₈²×C₁₃	C₂²	semidirect
39. Q₈²×C₁₃	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×#557	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
55. C₁₃×#555	C₂²	semidirect
67. C₁₃×#554	C₂²	semidirect
68. C₁₃×#554	C₂²	semidirect
69. C₁₃×#554	C₂²	semidirect
70. C₁₃×#554	C₂²	semidirect
71. C₁₃×#554	C₂²	semidirect
72. C₁₃×#554	C₂²	semidirect
81. C₁₃×#553	C₂²	semidirect
82. C₁₃×#553	C₂²	semidirect
83. C₁₃×#552	C₂²	semidirect
84. C₁₃×#552	C₂²	semidirect
85. C₁₃×#552	C₂²	semidirect
86. C₁₃×#552	C₂²	semidirect
87. C₁₃×#552	C₂²	semidirect
88. C₁₃×#552	C₂²	semidirect
89. C₁₃×#552	C₂²	semidirect
92. C₁₃×#550	C₂²	semidirect
95. D₄×Q₈×C₁₃	C₂²	semidirect
96. D₄×Q₈×C₁₃	C₂²	semidirect
99. C₁₃×#548	C₂²	semidirect
100. C₁₃×#548	C₂²	semidirect
103. C₁₃×#547	C₂²	semidirect
104. C₁₃×#547	C₂²	semidirect
105. C₁₃×#547	C₂²	semidirect
106. C₁₃×#547	C₂²	semidirect
107. C₁₃×#547	C₂²	semidirect
108. C₁₃×#547	C₂²	semidirect
111. C₁₃×#544	C₂²	semidirect
112. C₁₃×#544	C₂²	semidirect
113. C₁₃×#544	C₂²	semidirect
114. C₁₃×#544	C₂²	semidirect
119. C₁₃×#542	C₂²	semidirect
120. C₁₃×#542	C₂²	semidirect
121. C₁₃×#542	C₂²	semidirect
122. C₁₃×#542	C₂²	semidirect
123. C₁₃×#542	C₂²	semidirect
124. C₁₃×#542	C₂²	semidirect
125. C₁₃×#541	C₂²	semidirect
126. C₁₃×#541	C₂²	semidirect
127. C₁₃×#541	C₂²	semidirect
132. C₁₃×#540	C₂²	semidirect
133. C₁₃×#539	C₂²	semidirect
134. C₁₃×#539	C₂²	semidirect
135. C₁₃×#539	C₂²	semidirect
136. C₁₃×#539	C₂²	semidirect
137. C₁₃×#539	C₂²	semidirect
144. C₁₃×#537	C₂²	semidirect
145. C₁₃×#537	C₂²	semidirect
146. C₁₃×#537	C₂²	semidirect
147. C₁₃×#536	C₂²	semidirect
148. C₁₃×#536	C₂²	semidirect
154. C₁₃×#533	C₂²	semidirect
155. C₁₃×#533	C₂²	semidirect
156. C₁₃×#533	C₂²	semidirect
157. C₁₃×#533	C₂²	semidirect
158. C₁₃×#533	C₂²	semidirect
165. C₁₃×#532	C₂²	semidirect
167. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
172. C₁₃×#529	C₂²	semidirect
173. C₁₃×#529	C₂²	semidirect
174. C₁₃×#529	C₂²	semidirect
175. C₁₃×#529	C₂²	semidirect
177. C₂×C₁₃×#125	C₂²	semidirect
187. C₁₃×#520	C₂²	semidirect
188. C₁₃×#520	C₂²	semidirect
193. C₄×C₁₃×#41	C₂²	semidirect
195. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
519. #62926	C₁₃	direct (N × H)
708. #3565	C₂×C₁₃	semidirect
709. #3559	C₂×C₁₃	semidirect
710. #3557	C₂×C₁₃	semidirect
711. #3555	C₂×C₁₃	semidirect
712. #3554	C₂×C₁₃	semidirect
713. #3548	C₂×C₁₃	semidirect
714. #3547	C₂×C₁₃	semidirect
715. #3544	C₂×C₁₃	semidirect
716. #3541	C₂×C₁₃	semidirect
717. #3541	C₂×C₁₃	semidirect
718. #3522	C₂×C₁₃	semidirect
719. #3515	C₂×C₁₃	semidirect
720. #3512	C₂×C₁₃	semidirect
721. #3511	C₂×C₁₃	semidirect
722. #3511	C₂×C₁₃	semidirect
723. #3507	C₂×C₁₃	semidirect
724. #3506	C₂×C₁₃	semidirect
725. #3506	C₂×C₁₃	semidirect
726. #3504	C₂×C₁₃	semidirect
727. #3503	C₂×C₁₃	semidirect
728. #3492	C₂×C₁₃	semidirect
729. #3480	C₂×C₁₃	semidirect
730. Q₈×#41	C₂×C₁₃	semidirect
731. C₂×#554	C₂×C₁₃	semidirect
732. #3460	C₂×C₁₃	semidirect
733. #3460	C₂×C₁₃	semidirect
822. #563	C₂²×C₁₃	semidirect
823. #563	C₂²×C₁₃	semidirect
824. #563	C₂²×C₁₃	semidirect
825. #562	C₂²×C₁₃	semidirect
826. #562	C₂²×C₁₃	semidirect
827. #562	C₂²×C₁₃	semidirect
831. #559	C₂²×C₁₃	semidirect
832. #559	C₂²×C₁₃	semidirect
833. Q₈²	C₂²×C₁₃	semidirect
834. Q₈²	C₂²×C₁₃	semidirect
835. #557	C₂²×C₁₃	semidirect
836. #557	C₂²×C₁₃	semidirect
837. #557	C₂²×C₁₃	semidirect
838. #557	C₂²×C₁₃	semidirect
839. #557	C₂²×C₁₃	semidirect
840. #557	C₂²×C₁₃	semidirect
843. #556	C₂²×C₁₃	semidirect
844. #556	C₂²×C₁₃	semidirect
845. #556	C₂²×C₁₃	semidirect
846. #556	C₂²×C₁₃	semidirect
847. #556	C₂²×C₁₃	semidirect
850. #555	C₂²×C₁₃	semidirect
862. #554	C₂²×C₁₃	semidirect
863. #554	C₂²×C₁₃	semidirect
864. #554	C₂²×C₁₃	semidirect
865. #554	C₂²×C₁₃	semidirect
866. #554	C₂²×C₁₃	semidirect
867. #554	C₂²×C₁₃	semidirect
876. #553	C₂²×C₁₃	semidirect
877. #553	C₂²×C₁₃	semidirect
878. #552	C₂²×C₁₃	semidirect
879. #552	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
887. #550	C₂²×C₁₃	semidirect
890. D₄×Q₈	C₂²×C₁₃	semidirect
891. D₄×Q₈	C₂²×C₁₃	semidirect
894. #548	C₂²×C₁₃	semidirect
895. #548	C₂²×C₁₃	semidirect
898. #547	C₂²×C₁₃	semidirect
899. #547	C₂²×C₁₃	semidirect
900. #547	C₂²×C₁₃	semidirect
901. #547	C₂²×C₁₃	semidirect
902. #547	C₂²×C₁₃	semidirect
903. #547	C₂²×C₁₃	semidirect
906. #544	C₂²×C₁₃	semidirect
907. #544	C₂²×C₁₃	semidirect
908. #544	C₂²×C₁₃	semidirect
909. #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. #541	C₂²×C₁₃	semidirect
921. #541	C₂²×C₁₃	semidirect
922. #541	C₂²×C₁₃	semidirect
927. #540	C₂²×C₁₃	semidirect
928. #539	C₂²×C₁₃	semidirect
929. #539	C₂²×C₁₃	semidirect
930. #539	C₂²×C₁₃	semidirect
931. #539	C₂²×C₁₃	semidirect
932. #539	C₂²×C₁₃	semidirect
939. #537	C₂²×C₁₃	semidirect
940. #537	C₂²×C₁₃	semidirect
941. #537	C₂²×C₁₃	semidirect
942. #536	C₂²×C₁₃	semidirect
943. #536	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
960. #532	C₂²×C₁₃	semidirect
962. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
967. #529	C₂²×C₁₃	semidirect
968. #529	C₂²×C₁₃	semidirect
969. #529	C₂²×C₁₃	semidirect
970. #529	C₂²×C₁₃	semidirect
972. C₂×#125	C₂²×C₁₃	semidirect
982. #520	C₂²×C₁₃	semidirect
983. #520	C₂²×C₁₃	semidirect
988. C₄×#41	C₂²×C₁₃	semidirect
990. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
1548. C₁₃	#62926	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×#3559	2
C₁₃×#3557	2
C₁₃×#3555	2
C₁₃×#3554	2
C₁₃×#3548	2
C₁₃×#3547	2
C₁₃×#3544	2
C₁₃×#3541	2
C₁₃×#3522	2
C₁₃×#3515	2
C₁₃×#3512	2
C₁₃×#3511	2
C₁₃×#3507	2
C₁₃×#3506	2
C₁₃×#3504	2
C₁₃×#3503	2
C₁₃×#3492	2
C₁₃×#3480	2
Q₈×C₁₃×#41	2
C₂×C₁₃×#554	2
C₁₃×#3460	2
#62926	13

Subgroups — C13×#62926 #15749265

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62926 #15749265