Subgroups — C₁₃×#62925 #15749264

Order 3328.

7090 conjugacy classes of subgroups.

The subgroup lattice has 1768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3562	C₂	1	4	yes	maximal, complemented
2	C₁₃×#3554	C₂	1	4	yes	maximal, complemented
3	C₁₃×#3552	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3548	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3547	C₂	1	2	yes	maximal, complemented
6	C₁₃×#3546	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3542	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3541	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3539	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3533	C₂	1	8	yes	maximal, complemented
11	C₁₃×#3520	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3517	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3511	C₂	1	2	yes	maximal, complemented
14	C₁₃×#3509	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3506	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3506	C₂	1	2	yes	maximal, complemented
17	C₁₃×#3499	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3495	C₂	1	2	yes	maximal, complemented
19	C₁₃×#3492	C₂	1	4	yes	maximal, complemented
20	C₁₃×#3489	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3487	C₂	1	2	yes	maximal, complemented
22	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
23	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#547	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3460	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3449	C₂	1	2	yes	maximal, complemented
27	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	2	yes	complemented
28	C₂²×C₁₃×#41	C₂²	1	2	yes	—
29	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
30	C₁₃×#563	C₂²	1	8	yes	complemented
31	C₁₃×#562	C₂²	1	8	yes	complemented
32	C₁₃×#562	C₂²	1	8	yes	complemented
33	C₁₃×#562	C₂²	1	8	yes	complemented
34	C₁₃×#560	C₂²	1	8	yes	complemented
35	C₁₃×#560	C₂²	1	8	yes	complemented
36	C₁₃×#559	C₂²	1	8	yes	complemented
37	C₁₃×#559	C₂²	1	4	yes	complemented
38	C₁₃×#557	C₂²	1	2	yes	complemented
39	C₁₃×#557	C₂²	1	2	yes	complemented
40	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
41	C₁₃×#556	C₂²	1	4	yes	complemented
42	C₁₃×#556	C₂²	1	2	yes	complemented
43	C₁₃×#556	C₂²	1	2	yes	complemented
44	C₁₃×#556	C₂²	1	2	yes	complemented
45	C₁₃×#555	C₂²	1	4	yes	complemented
46	C₁₃×#555	C₂²	1	2	yes	complemented
47	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#554	C₂²	1	4	yes	complemented
49	C₁₃×#554	C₂²	1	4	yes	complemented
50	C₁₃×#554	C₂²	1	8	yes	complemented
51	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#554	C₂²	1	4	yes	complemented
53	C₁₃×#553	C₂²	1	8	yes	complemented
54	C₁₃×#553	C₂²	1	8	yes	complemented
55	C₁₃×#553	C₂²	1	2	yes	complemented
56	C₁₃×#553	C₂²	1	4	yes	complemented
57	C₁₃×#553	C₂²	1	8	yes	complemented
58	C₁₃×#553	C₂²	1	4	yes	complemented
59	C₁₃×#553	C₂²	1	4	yes	complemented
60	C₁₃×#553	C₂²	1	4	yes	complemented
61	C₁₃×#552	C₂²	1	4	yes	complemented
62	C₁₃×#552	C₂²	1	4	yes	complemented
63	C₁₃×#552	C₂²	1	8	yes	complemented
64	C₁₃×#552	C₂²	1	4	yes	complemented
65	C₁₃×#552	C₂²	1	2	yes	complemented
66	C₁₃×#552	C₂²	1	4	yes	complemented
67	C₁₃×#552	C₂²	1	2	yes	complemented
68	C₁₃×#551	C₂²	1	8	yes	complemented
69	C₁₃×#551	C₂²	1	4	yes	complemented
70	C₁₃×#551	C₂²	1	8	yes	complemented
71	C₁₃×#550	C₂²	1	4	yes	complemented
72	C₁₃×#550	C₂²	1	4	yes	complemented
73	C₁₃×#550	C₂²	1	4	yes	complemented
74	C₁₃×#550	C₂²	1	4	yes	complemented
75	C₁₃×#550	C₂²	1	2	yes	complemented
76	C₁₃×#550	C₂²	1	4	yes	complemented
77	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
78	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
79	D₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
80	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
81	D₄×Q₈×C₁₃	C₂²	1	4	yes	complemented
82	C₁₃×#548	C₂²	1	4	yes	complemented
83	C₁₃×#548	C₂²	1	4	yes	complemented
84	C₁₃×#548	C₂²	1	4	yes	complemented
85	C₁₃×#548	C₂²	1	2	yes	complemented
86	C₁₃×#548	C₂²	1	4	yes	complemented
87	C₁₃×#548	C₂²	1	4	yes	complemented
88	C₁₃×#547	C₂²	1	2	yes	—
89	C₁₃×#547	C₂²	1	2	yes	—
90	C₁₃×#547	C₂²	1	2	yes	—
91	C₁₃×#547	C₂²	1	2	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×#547	C₂²	1	4	yes	complemented
96	C₁₃×#547	C₂²	1	4	yes	complemented
97	C₁₃×#547	C₂²	1	2	yes	complemented
98	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#547	C₂²	1	2	yes	complemented
100	C₁₃×#547	C₂²	1	4	yes	complemented
101	C₁₃×#547	C₂²	1	4	yes	complemented
102	C₁₃×#547	C₂²	1	2	yes	complemented
103	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#546	C₂²	1	4	yes	—
105	C₁₃×#546	C₂²	1	2	yes	—
106	C₁₃×#546	C₂²	1	4	yes	complemented
107	C₁₃×#546	C₂²	1	8	yes	complemented
108	C₁₃×#546	C₂²	1	4	yes	complemented
109	C₁₃×#546	C₂²	1	2	yes	complemented
110	D₄²×C₁₃	C₂²	1	2	yes	—
111	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#544	C₂²	1	4	yes	complemented
113	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#542	C₂²	1	4	yes	complemented
115	C₁₃×#542	C₂²	1	8	yes	complemented
116	C₁₃×#542	C₂²	1	8	yes	complemented
117	C₁₃×#542	C₂²	1	2	yes	complemented
118	C₁₃×#542	C₂²	1	4	yes	complemented
119	C₁₃×#542	C₂²	1	2	yes	complemented
120	C₁₃×#541	C₂²	1	4	yes	complemented
121	C₁₃×#541	C₂²	1	4	yes	complemented
122	C₁₃×#540	C₂²	1	8	yes	complemented
123	C₁₃×#540	C₂²	1	8	yes	complemented
124	C₁₃×#540	C₂²	1	2	yes	complemented
125	C₁₃×#540	C₂²	1	8	yes	complemented
126	C₁₃×#540	C₂²	1	4	yes	complemented
127	C₁₃×#540	C₂²	1	2	yes	complemented
128	C₁₃×#539	C₂²	1	8	yes	complemented
129	C₁₃×#539	C₂²	1	8	yes	complemented
130	C₁₃×#539	C₂²	1	8	yes	complemented
131	C₁₃×#539	C₂²	1	8	yes	complemented
132	C₁₃×#538	C₂²	1	4	yes	complemented
133	C₁₃×#538	C₂²	1	4	yes	complemented
134	C₁₃×#538	C₂²	1	8	yes	complemented
135	C₁₃×#538	C₂²	1	8	yes	complemented
136	C₁₃×#538	C₂²	1	8	yes	complemented
137	C₁₃×#537	C₂²	1	1	yes	characteristic
138	C₁₃×#537	C₂²	1	4	yes	complemented
139	C₁₃×#537	C₂²	1	4	yes	complemented
140	C₁₃×#537	C₂²	1	4	yes	complemented
141	C₁₃×#537	C₂²	1	4	yes	complemented
142	C₁₃×#537	C₂²	1	4	yes	complemented
143	C₁₃×#536	C₂²	1	2	yes	—
144	C₁₃×#536	C₂²	1	4	yes	complemented
145	C₁₃×#536	C₂²	1	4	yes	complemented
146	C₁₃×#536	C₂²	1	4	yes	complemented
147	C₁₃×#536	C₂²	1	2	yes	complemented
148	C₁₃×#535	C₂²	1	1	yes	characteristic
149	C₁₃×#535	C₂²	1	8	yes	complemented
150	C₁₃×#535	C₂²	1	4	yes	complemented
151	C₁₃×#535	C₂²	1	4	yes	complemented
152	C₁₃×#535	C₂²	1	2	yes	complemented
153	C₁₃×#535	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#534	C₂²	1	8	yes	complemented
155	C₁₃×#533	C₂²	1	2	yes	complemented
156	C₁₃×#533	C₂²	1	2	yes	complemented
157	C₁₃×#533	C₂²	1	4	yes	complemented
158	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×#532	C₂²	1	1	yes	characteristic
160	C₁₃×#532	C₂²	1	2	yes	complemented
161	C₁₃×#532	C₂²	1	2	yes	complemented
162	C₁₃×#532	C₂²	1	2	yes	complemented
163	C₁₃×#532	C₂²	1	2	yes	complemented
164	C₁₃×#532	C₂²	1	4	yes	complemented
165	C₁₃×#532	C₂²	1	4	yes	complemented
166	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
167	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#529	C₂²	1	2	yes	complemented
169	C₁₃×#529	C₂²	1	2	yes	complemented
170	C₁₃×#529	C₂²	1	2	yes	complemented
171	C₁₃×#529	C₂²	1	4	yes	complemented
172	C₁₃×#529	C₂²	1	4	yes	complemented
173	C₁₃×#525	C₂²	1	2	yes	—
174	C₁₃×#525	C₂²	1	4	yes	complemented
175	C₁₃×#525	C₂²	1	8	yes	complemented
176	C₁₃×#525	C₂²	1	8	yes	complemented
177	C₁₃×#525	C₂²	1	4	yes	complemented
178	C₁₃×#525	C₂²	1	4	yes	complemented
179	C₁₃×#525	C₂²	1	4	yes	complemented
180	C₁₃×#525	C₂²	1	4	yes	complemented
181	C₁₃×#525	C₂²	1	4	yes	complemented
182	C₁₃×#525	C₂²	1	2	yes	complemented
183	C₂×C₁₃×#123	C₂²	1	4	yes	complemented
184	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	4	yes	complemented
185	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
186	C₂×C₁₃×#121	C₂²	1	2	yes	—
187	C₁₃×#520	C₂²	1	4	yes	complemented
188	C₁₃×#520	C₂²	1	2	yes	complemented
189	C₁₃×#520	C₂²	1	4	yes	complemented
190	C₁₃×#519	C₂²	1	2	yes	complemented
191	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
192	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
193	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
194	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
195	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
196	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
198	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
199	C₁₃×2₋¹⁺⁴	—	4	8	no	—
200	C₂×C₁₃×#41	—	4	8	no	—
201	C₂×C₁₃×#41	—	4	8	no	—
202	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
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	4	yes	—
208	C₂×C₁₃×#41	C₂³	1	4	yes	—
209	C₂×C₁₃×#41	C₂³	1	4	yes	—
210	C₂×C₁₃×#41	C₂³	1	4	yes	—
211	C₂×C₁₃×#41	C₂³	1	8	yes	—
212	C₂×C₁₃×#41	C₂³	1	4	yes	—
213	C₂×C₁₃×#41	C₂³	1	2	yes	—
214	C₂×C₁₃×#41	C₂³	1	2	yes	—
215	C₂×C₁₃×#41	C₂³	1	4	yes	—
216	C₂×C₁₃×#41	C₂³	1	4	yes	—
217	C₂×C₁₃×#41	C₂³	1	4	yes	—
218	C₂×C₁₃×#41	C₂³	1	4	yes	—
219	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
220	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
221	C₂²×Q₈×C₁₃	C₂³	1	4	yes	—
222	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
223	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
224	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
225	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
226	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
227	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
228	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
229	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
230	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
231	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
232	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
233	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
234	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
235	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
236	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
237	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
238	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
239	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
240	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
241	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
242	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
243	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
244	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
245	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
246	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
248	C₁₃×#127	C₂³	1	1	yes	characteristic
249	C₁₃×#127	C₂³	1	2	yes	—
250	C₁₃×#127	C₂³	1	4	yes	—
251	C₁₃×#127	C₂³	1	2	yes	—
252	C₁₃×#127	C₂³	1	2	yes	—
253	C₁₃×#127	C₂³	1	8	yes	—
254	C₁₃×#127	C₂³	1	8	yes	—
255	C₁₃×#126	C₂³	1	4	yes	—
256	C₁₃×#126	C₂³	1	4	yes	—
257	C₁₃×#126	C₂³	1	8	yes	—
258	C₁₃×#126	C₂³	1	4	yes	—
259	C₁₃×#126	C₂³	1	4	yes	—
260	C₁₃×#126	C₂³	1	4	yes	—
261	C₁₃×#126	C₂³	1	8	yes	—
262	C₁₃×#126	C₂³	1	8	yes	—
263	C₁₃×#126	C₂³	1	8	yes	—
264	C₁₃×#126	C₂³	1	8	yes	—
265	C₁₃×#126	C₂³	1	8	yes	—
266	C₁₃×#126	C₂³	1	8	yes	—
267	C₁₃×#125	C₂³	1	2	yes	—
268	C₁₃×#125	C₂³	1	4	yes	—
269	C₁₃×#125	C₂³	1	2	yes	—
270	C₁₃×#125	C₂³	1	2	yes	—
271	C₁₃×#125	C₂³	1	8	yes	—
272	C₁₃×#125	C₂³	1	4	yes	—
273	C₁₃×#125	C₂³	1	4	yes	—
274	C₁₃×#125	C₂³	1	2	yes	—
275	C₁₃×#125	C₂³	1	8	yes	—
276	C₁₃×#125	C₂³	1	8	yes	—
277	C₁₃×#125	C₂³	1	8	yes	—
278	C₁₃×#125	C₂³	1	8	yes	—
279	C₁₃×#124	C₂³	1	2	yes	—
280	C₁₃×#124	C₂³	1	4	yes	—
281	C₁₃×#124	C₂³	1	2	yes	—
282	C₁₃×#124	C₂³	1	4	yes	—
283	C₁₃×#124	C₂³	1	2	yes	—
284	C₁₃×#124	C₂³	1	2	yes	—
285	C₁₃×#124	C₂³	1	4	yes	—
286	C₁₃×#124	C₂³	1	4	yes	—
287	C₁₃×#124	C₂³	1	4	yes	—
288	C₁₃×#124	C₂³	1	4	yes	—
289	C₁₃×#124	C₂³	1	4	yes	—
290	C₁₃×#124	C₂³	1	8	yes	—
291	C₁₃×#124	C₂³	1	8	yes	—
292	C₁₃×#124	C₂³	1	8	yes	—
293	C₁₃×#124	C₂³	1	8	yes	—
294	C₁₃×#124	C₂³	1	8	yes	—
295	C₁₃×#123	C₂³	1	8	yes	—
296	C₁₃×#123	C₂³	1	8	yes	—
297	C₁₃×#123	C₂³	1	8	yes	—
298	C₁₃×#123	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	4	yes	—
306	C₁₃×#123	C₂³	1	4	yes	—
307	C₁₃×#123	C₂³	1	4	yes	—
308	C₁₃×#123	C₂³	1	8	yes	—
309	C₁₃×#123	C₂³	1	8	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	4	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×C₂²⋊Q₈	C₂³	1	4	yes	—
324	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
325	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
326	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
327	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
328	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
329	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
330	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
331	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
332	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
333	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
334	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
335	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
336	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
338	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
339	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
340	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
341	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
342	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
343	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
344	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
345	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
346	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
347	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
348	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
349	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
350	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
351	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
352	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
353	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
354	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
355	C₁₃×C₂²⋊Q₈	C₂³	1	8	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×#121	C₂³	1	4	yes	—
360	C₁₃×#121	C₂³	1	4	yes	—
361	C₁₃×#121	C₂³	1	8	yes	—
362	C₁₃×#121	C₂³	1	2	yes	—
363	C₁₃×#121	C₂³	1	2	yes	—
364	C₁₃×#121	C₂³	1	2	yes	—
365	C₁₃×#121	C₂³	1	2	yes	—
366	C₁₃×#121	C₂³	1	2	yes	—
367	C₁₃×#121	C₂³	1	2	yes	—
368	C₁₃×#121	C₂³	1	2	yes	—
369	C₁₃×#121	C₂³	1	8	yes	—
370	C₁₃×#121	C₂³	1	4	yes	—
371	C₁₃×#121	C₂³	1	4	yes	—
372	C₁₃×#121	C₂³	1	8	yes	—
373	C₁₃×#121	C₂³	1	4	yes	—
374	C₁₃×#121	C₂³	1	4	yes	—
375	C₁₃×#121	C₂³	1	2	yes	—
376	C₁₃×#121	C₂³	1	8	yes	—
377	C₁₃×#121	C₂³	1	8	yes	—
378	C₁₃×#121	C₂³	1	4	yes	—
379	C₁₃×#121	C₂³	1	4	yes	—
380	C₁₃×#121	C₂³	1	4	yes	—
381	C₁₃×#121	C₂³	1	2	yes	—
382	C₁₃×#121	C₂³	1	2	yes	—
383	C₁₃×#121	C₂³	1	4	yes	—
384	C₁₃×#121	C₂³	1	2	yes	—
385	C₁₃×#121	C₂³	1	8	yes	—
386	C₁₃×#121	C₂³	1	8	yes	—
387	C₁₃×#121	C₂³	1	8	yes	—
388	C₁₃×#121	C₂³	1	8	yes	—
389	C₁₃×#121	C₂³	1	4	yes	—
390	C₁₃×#121	C₂³	1	2	yes	—
391	C₁₃×#121	C₂³	1	2	yes	—
392	C₁₃×#121	C₂³	1	2	yes	—
393	C₁₃×#121	C₂³	1	2	yes	—
394	C₁₃×#121	C₂³	1	4	yes	—
395	C₁₃×#121	C₂³	1	4	yes	—
396	C₁₃×#121	C₂³	1	4	yes	—
397	C₁₃×#121	C₂³	1	4	yes	—
398	C₁₃×#121	C₂³	1	8	yes	—
399	C₁₃×#121	C₂³	1	8	yes	—
400	C₁₃×#121	C₂³	1	8	yes	—
401	C₁₃×#121	C₂³	1	8	yes	—
402	C₁₃×#121	C₂³	1	8	yes	—
403	C₁₃×#121	C₂³	1	8	yes	—
404	C₁₃×#121	C₂³	1	8	yes	—
405	C₁₃×#121	C₂³	1	8	yes	—
406	C₁₃×#120	C₂³	1	4	yes	—
407	C₁₃×#120	C₂³	1	4	yes	—
408	C₁₃×#120	C₂³	1	8	yes	—
409	C₁₃×#120	C₂³	1	4	yes	—
410	C₁₃×#120	C₂³	1	8	yes	—
411	C₁₃×#120	C₂³	1	8	yes	—
412	C₁₃×#120	C₂³	1	4	yes	—
413	C₁₃×#120	C₂³	1	8	yes	—
414	C₁₃×#120	C₂³	1	4	yes	—
415	C₁₃×#120	C₂³	1	4	yes	—
416	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
417	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
418	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
419	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
420	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
421	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
422	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
423	C₄×Q₈×C₁₃	C₂³	1	4	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	4	yes	—
428	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
429	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
430	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
431	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
432	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
433	C₄×D₄×C₁₃	C₂³	1	2	yes	—
434	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
435	C₄×D₄×C₁₃	C₂³	1	2	yes	—
436	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
437	C₄×D₄×C₁₃	C₂³	1	2	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	2	yes	—
442	C₄×D₄×C₁₃	C₂³	1	4	yes	—
443	C₄×D₄×C₁₃	C₂³	1	2	yes	—
444	C₄×D₄×C₁₃	C₂³	1	2	yes	—
445	C₄×D₄×C₁₃	C₂³	1	2	yes	—
446	C₄×D₄×C₁₃	C₂³	1	2	yes	—
447	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
448	C₄×D₄×C₁₃	C₂³	1	2	yes	—
449	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
450	C₄×D₄×C₁₃	C₂³	1	2	yes	—
451	C₄×D₄×C₁₃	C₂³	1	4	yes	—
452	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
453	C₄×D₄×C₁₃	C₂³	1	2	yes	—
454	C₄×D₄×C₁₃	C₂³	1	2	yes	—
455	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
456	C₄×D₄×C₁₃	C₂³	1	4	yes	—
457	C₄×D₄×C₁₃	C₂³	1	8	yes	—
458	C₄×D₄×C₁₃	C₂³	1	8	yes	—
459	C₄×D₄×C₁₃	C₂³	1	8	yes	—
460	C₄×D₄×C₁₃	C₂³	1	8	yes	—
461	C₄×D₄×C₁₃	C₂³	1	8	yes	—
462	C₄×D₄×C₁₃	C₂³	1	8	yes	—
463	C₄×D₄×C₁₃	C₂³	1	4	yes	—
464	C₄×D₄×C₁₃	C₂³	1	4	yes	—
465	C₄×D₄×C₁₃	C₂³	1	4	yes	—
466	C₄×D₄×C₁₃	C₂³	1	2	yes	—
467	C₄×D₄×C₁₃	C₂³	1	8	yes	—
468	C₄×D₄×C₁₃	C₂³	1	8	yes	—
469	C₄×D₄×C₁₃	C₂³	1	4	yes	—
470	C₄×D₄×C₁₃	C₂³	1	4	yes	—
471	C₄×D₄×C₁₃	C₂³	1	4	yes	—
472	C₄×D₄×C₁₃	C₂³	1	8	yes	—
473	C₄×D₄×C₁₃	C₂³	1	8	yes	—
474	C₄×D₄×C₁₃	C₂³	1	8	yes	—
475	C₄×D₄×C₁₃	C₂³	1	8	yes	—
476	C₄×D₄×C₁₃	C₂³	1	8	yes	—
477	C₄×D₄×C₁₃	C₂³	1	4	yes	—
478	C₁₃×#117	C₂³	1	1	yes	characteristic
479	C₁₃×#117	C₂³	1	2	yes	—
480	C₁₃×#117	C₂³	1	4	yes	—
481	C₁₃×#117	C₂³	1	2	yes	—
482	C₁₃×#117	C₂³	1	2	yes	—
483	C₁₃×#117	C₂³	1	4	yes	—
484	C₁₃×#117	C₂³	1	1	yes	characteristic
485	C₁₃×#117	C₂³	1	2	yes	—
486	C₁₃×#117	C₂³	1	2	yes	—
487	C₁₃×#117	C₂³	1	2	yes	—
488	C₁₃×#117	C₂³	1	4	yes	—
489	C₁₃×#117	C₂³	1	8	yes	—
490	C₁₃×#117	C₂³	1	4	yes	—
491	C₁₃×#117	C₂³	1	4	yes	—
492	C₁₃×#117	C₂³	1	4	yes	—
493	C₁₃×#117	C₂³	1	8	yes	—
494	C₁₃×#117	C₂³	1	4	yes	—
495	C₁₃×#117	C₂³	1	4	yes	—
496	C₁₃×#117	C₂³	1	8	yes	—
497	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
498	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
499	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
500	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
501	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
502	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
503	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
504	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
505	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
506	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
507	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
508	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
509	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
510	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
511	C₂×C₁₃×C₄⋊C₄	C₂³	1	4	yes	—
512	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
513	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
514	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
515	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
516	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
517	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
518	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
519	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
520	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
521	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
522	#62925	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
523	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
524	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
525	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
526	C₁₃×#41	—	2	4	no	—
527	C₁₃×#41	—	2	8	no	—
528	C₁₃×#41	—	2	4	no	—
529	C₁₃×#41	—	4	8	no	—
530	C₁₃×#41	—	4	8	no	—
531	C₁₃×#41	—	4	8	no	—
532	C₁₃×#41	—	4	16	no	—
533	C₁₃×#41	—	4	8	no	—
534	C₁₃×#41	—	4	8	no	—
535	C₁₃×#41	—	4	8	no	—
536	C₁₃×#41	—	4	8	no	—
537	C₁₃×#41	—	4	4	no	—
538	C₁₃×#41	—	4	4	no	—
539	C₁₃×#41	—	4	8	no	—
540	C₁₃×#41	—	4	4	no	—
541	C₁₃×#41	—	4	8	no	—
542	C₁₃×#41	—	4	8	no	—
543	C₂×Q₈×C₁₃	—	2	8	no	—
544	C₂×Q₈×C₁₃	—	4	4	no	—
545	C₂×Q₈×C₁₃	—	4	8	no	—
546	C₂×Q₈×C₁₃	—	4	8	no	—
547	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
548	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
549	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
550	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
551	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
552	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
554	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
555	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
556	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
557	C₂×D₄×C₁₃	—	2	4	no	—
558	C₂×D₄×C₁₃	—	4	2	no	—
559	C₂×D₄×C₁₃	—	4	4	no	—
560	C₂×D₄×C₁₃	—	4	4	no	—
561	C₂×D₄×C₁₃	—	4	8	no	—
562	C₂×D₄×C₁₃	—	4	8	no	—
563	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
564	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
565	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
566	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
567	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
568	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
569	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
570	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
571	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
572	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
573	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
574	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
575	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
576	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
577	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
578	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
579	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
580	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
581	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
582	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
583	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
584	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
585	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
586	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
587	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
588	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
589	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
590	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
591	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
592	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
593	C₂²×C₄×C₁₃	—	2	8	no	—
594	C₂²×C₄×C₁₃	—	4	4	no	—
595	C₂²×C₄×C₁₃	—	4	8	no	—
596	C₂²×C₄×C₁₃	—	4	8	no	—
597	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
598	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
599	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
600	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
601	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
602	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
603	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
604	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
605	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
606	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
607	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
608	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
609	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
610	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
612	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
613	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
614	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
615	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
616	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
617	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
618	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
619	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
620	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
621	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
622	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
623	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
624	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
625	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
626	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
629	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
630	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
631	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
632	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
633	C₁₃×C₄⋊C₄	C₂⁴	1	2	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	4	yes	—
640	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
641	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
642	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
643	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
644	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
645	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
646	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
647	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
648	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
649	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
650	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
651	C₁₃×C₄⋊C₄	C₂⁴	1	8	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	2	yes	—
656	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
659	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
660	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
661	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
662	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
663	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
664	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
665	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
666	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
667	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
668	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
669	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
670	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
671	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
672	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
673	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
674	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
675	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
676	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
677	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
678	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
679	C₁₃×C₂²⋊C₄	C₂⁴	1	4	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	2	yes	—
684	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
685	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
686	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
687	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
688	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
689	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
690	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
691	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
692	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
693	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
694	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
695	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
696	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
697	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
698	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
699	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
700	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
701	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
702	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
703	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
704	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
705	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
706	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
707	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
708	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
709	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
710	C₄²×C₁₃	C₂⁴	1	2	yes	—
711	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
712	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
713	C₄²×C₁₃	C₂⁴	1	4	yes	—
714	C₄²×C₁₃	C₂⁴	1	4	yes	—
715	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
716	C₄²×C₁₃	C₂⁴	1	2	yes	—
717	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
718	C₄²×C₁₃	C₂⁴	1	2	yes	—
719	C₄²×C₁₃	C₂⁴	1	2	yes	—
720	C₄²×C₁₃	C₂⁴	1	4	yes	—
721	C₄²×C₁₃	C₂⁴	1	2	yes	—
722	C₄²×C₁₃	C₂⁴	1	2	yes	—
723	C₄²×C₁₃	C₂⁴	1	8	yes	—
724	C₄²×C₁₃	C₂⁴	1	8	yes	—
725	C₄²×C₁₃	C₂⁴	1	8	yes	—
726	#3562	C₂×C₁₃	1	4	yes	complemented
727	#3554	C₂×C₁₃	1	4	yes	complemented
728	#3552	C₂×C₁₃	1	2	yes	complemented
729	#3548	C₂×C₁₃	1	2	yes	complemented
730	#3547	C₂×C₁₃	1	2	yes	complemented
731	#3546	C₂×C₁₃	1	2	yes	complemented
732	#3542	C₂×C₁₃	1	4	yes	complemented
733	#3541	C₂×C₁₃	1	4	yes	complemented
734	#3539	C₂×C₁₃	1	4	yes	complemented
735	#3533	C₂×C₁₃	1	8	yes	complemented
736	#3520	C₂×C₁₃	1	2	yes	complemented
737	#3517	C₂×C₁₃	1	2	yes	complemented
738	#3511	C₂×C₁₃	1	2	yes	complemented
739	#3509	C₂×C₁₃	1	1	yes	characteristic, complemented
740	#3506	C₂×C₁₃	1	1	yes	characteristic, complemented
741	#3506	C₂×C₁₃	1	2	yes	complemented
742	#3499	C₂×C₁₃	1	1	yes	characteristic, complemented
743	#3495	C₂×C₁₃	1	2	yes	complemented
744	#3492	C₂×C₁₃	1	4	yes	complemented
745	#3489	C₂×C₁₃	1	2	yes	complemented
746	#3487	C₂×C₁₃	1	2	yes	complemented
747	#3475	C₂×C₁₃	1	1	yes	characteristic, complemented
748	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
749	C₂×#547	C₂×C₁₃	1	1	yes	characteristic, complemented
750	#3460	C₂×C₁₃	1	1	yes	characteristic, complemented
751	#3449	C₂×C₁₃	1	2	yes	complemented
752	C₂³×C₁₃	—	2	4	no	—
753	C₂³×C₁₃	—	2	4	no	—
754	C₂³×C₁₃	—	4	2	no	—
755	C₂³×C₁₃	—	4	2	no	—
756	C₂³×C₁₃	—	4	4	no	—
757	C₂³×C₁₃	—	4	2	no	—
758	C₂³×C₁₃	—	4	4	no	—
759	C₂³×C₁₃	—	4	2	no	—
760	C₂³×C₁₃	—	4	4	no	—
761	C₂³×C₁₃	C₂⁵	1	2	yes	—
762	C₂³×C₁₃	C₂⁵	1	2	yes	—
763	C₂³×C₁₃	C₂⁵	1	2	yes	—
764	C₂³×C₁₃	C₂⁵	1	4	yes	—
765	C₂³×C₁₃	C₂⁵	1	4	yes	—
766	C₂³×C₁₃	C₂⁵	1	2	yes	—
767	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
768	Q₈×C₁₃	—	2	8	no	—
769	Q₈×C₁₃	—	2	8	no	—
770	Q₈×C₁₃	—	2	2	no	—
771	Q₈×C₁₃	—	2	4	no	—
772	Q₈×C₁₃	—	2	2	no	—
773	Q₈×C₁₃	—	2	4	no	—
774	Q₈×C₁₃	—	4	8	no	—
775	Q₈×C₁₃	—	4	4	no	—
776	Q₈×C₁₃	—	4	2	no	—
777	Q₈×C₁₃	—	4	4	no	—
778	D₄×C₁₃	—	2	4	no	—
779	D₄×C₁₃	—	2	8	no	—
780	D₄×C₁₃	—	2	4	no	—
781	D₄×C₁₃	—	2	4	no	—
782	D₄×C₁₃	—	2	4	no	—
783	D₄×C₁₃	—	2	2	no	—
784	D₄×C₁₃	—	2	4	no	—
785	D₄×C₁₃	—	2	2	no	—
786	D₄×C₁₃	—	2	2	no	—
787	D₄×C₁₃	—	2	2	no	—
788	D₄×C₁₃	—	2	4	no	—
789	D₄×C₁₃	—	4	2	no	—
790	D₄×C₁₃	—	4	4	no	—
791	D₄×C₁₃	—	4	4	no	—
792	D₄×C₁₃	—	4	4	no	—
793	D₄×C₁₃	—	4	4	no	—
794	D₄×C₁₃	—	4	8	no	—
795	D₄×C₁₃	—	4	8	no	—
796	D₄×C₁₃	—	4	4	no	—
797	D₄×C₁₃	—	4	2	no	—
798	D₄×C₁₃	—	4	4	no	—
799	D₄×C₁₃	—	4	4	no	—
800	D₄×C₁₃	—	4	4	no	—
801	D₄×C₁₃	—	4	8	no	—
802	D₄×C₁₃	—	4	4	no	—
803	D₄×C₁₃	—	4	4	no	—
804	D₄×C₁₃	—	4	4	no	—
805	D₄×C₁₃	—	4	8	no	—
806	D₄×C₁₃	—	4	4	no	—
807	D₄×C₁₃	—	4	8	no	—
808	C₂×C₄×C₁₃	—	2	4	no	—
809	C₂×C₄×C₁₃	—	2	8	no	—
810	C₂×C₄×C₁₃	—	2	4	no	—
811	C₂×C₄×C₁₃	—	2	4	no	—
812	C₂×C₄×C₁₃	—	2	4	no	—
813	C₂×C₄×C₁₃	—	2	4	no	—
814	C₂×C₄×C₁₃	—	2	4	no	—
815	C₂×C₄×C₁₃	—	2	8	no	—
816	C₂×C₄×C₁₃	—	2	4	no	—
817	C₂×C₄×C₁₃	—	2	2	no	—
818	C₂×C₄×C₁₃	—	2	8	no	—
819	C₂×C₄×C₁₃	—	2	4	no	—
820	C₂×C₄×C₁₃	—	2	4	no	—
821	C₂×C₄×C₁₃	—	4	4	no	—
822	C₂×C₄×C₁₃	—	4	2	no	—
823	C₂×C₄×C₁₃	—	4	4	no	—
824	C₂×C₄×C₁₃	—	4	4	no	—
825	C₂×C₄×C₁₃	—	4	4	no	—
826	C₂×C₄×C₁₃	—	4	8	no	—
827	C₂×C₄×C₁₃	—	4	8	no	—
828	C₂×C₄×C₁₃	—	4	2	no	—
829	C₂×C₄×C₁₃	—	4	1	no	—
830	C₂×C₄×C₁₃	—	4	4	no	—
831	C₂×C₄×C₁₃	—	4	2	no	—
832	C₂×C₄×C₁₃	—	4	8	no	—
833	C₂×C₄×C₁₃	—	4	8	no	—
834	C₂×C₄×C₁₃	—	4	8	no	—
835	C₂×C₄×C₁₃	—	4	4	no	—
836	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
837	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
838	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
839	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
840	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
841	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
842	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
843	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
844	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
845	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
846	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
847	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
848	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
849	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
850	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
851	C₂×C₄×C₁₃	C₂⁵	1	8	yes	—
852	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
853	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
854	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
855	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
856	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	2	yes	complemented
857	C₂²×#41	C₂²×C₁₃	1	2	yes	—
858	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
859	#563	C₂²×C₁₃	1	8	yes	complemented
860	#562	C₂²×C₁₃	1	8	yes	complemented
861	#562	C₂²×C₁₃	1	8	yes	complemented
862	#562	C₂²×C₁₃	1	8	yes	complemented
863	#560	C₂²×C₁₃	1	8	yes	complemented
864	#560	C₂²×C₁₃	1	8	yes	complemented
865	#559	C₂²×C₁₃	1	8	yes	complemented
866	#559	C₂²×C₁₃	1	4	yes	complemented
867	#557	C₂²×C₁₃	1	2	yes	complemented
868	#557	C₂²×C₁₃	1	2	yes	complemented
869	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
870	#556	C₂²×C₁₃	1	4	yes	complemented
871	#556	C₂²×C₁₃	1	2	yes	complemented
872	#556	C₂²×C₁₃	1	2	yes	complemented
873	#556	C₂²×C₁₃	1	2	yes	complemented
874	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
875	#555	C₂²×C₁₃	1	2	yes	complemented
876	#555	C₂²×C₁₃	1	4	yes	complemented
877	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
878	#554	C₂²×C₁₃	1	4	yes	complemented
879	#554	C₂²×C₁₃	1	8	yes	complemented
880	#554	C₂²×C₁₃	1	4	yes	complemented
881	#554	C₂²×C₁₃	1	4	yes	complemented
882	#553	C₂²×C₁₃	1	2	yes	complemented
883	#553	C₂²×C₁₃	1	4	yes	complemented
884	#553	C₂²×C₁₃	1	8	yes	complemented
885	#553	C₂²×C₁₃	1	4	yes	complemented
886	#553	C₂²×C₁₃	1	4	yes	complemented
887	#553	C₂²×C₁₃	1	4	yes	complemented
888	#553	C₂²×C₁₃	1	8	yes	complemented
889	#553	C₂²×C₁₃	1	8	yes	complemented
890	#552	C₂²×C₁₃	1	2	yes	complemented
891	#552	C₂²×C₁₃	1	2	yes	complemented
892	#552	C₂²×C₁₃	1	8	yes	complemented
893	#552	C₂²×C₁₃	1	4	yes	complemented
894	#552	C₂²×C₁₃	1	4	yes	complemented
895	#552	C₂²×C₁₃	1	4	yes	complemented
896	#552	C₂²×C₁₃	1	4	yes	complemented
897	#551	C₂²×C₁₃	1	4	yes	complemented
898	#551	C₂²×C₁₃	1	8	yes	complemented
899	#551	C₂²×C₁₃	1	8	yes	complemented
900	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
901	#550	C₂²×C₁₃	1	4	yes	complemented
902	#550	C₂²×C₁₃	1	4	yes	complemented
903	#550	C₂²×C₁₃	1	4	yes	complemented
904	#550	C₂²×C₁₃	1	4	yes	complemented
905	#550	C₂²×C₁₃	1	2	yes	complemented
906	#550	C₂²×C₁₃	1	4	yes	complemented
907	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
908	D₄×Q₈	C₂²×C₁₃	1	4	yes	complemented
909	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
910	D₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
911	#548	C₂²×C₁₃	1	2	yes	complemented
912	#548	C₂²×C₁₃	1	4	yes	complemented
913	#548	C₂²×C₁₃	1	4	yes	complemented
914	#548	C₂²×C₁₃	1	4	yes	complemented
915	#548	C₂²×C₁₃	1	4	yes	complemented
916	#548	C₂²×C₁₃	1	4	yes	complemented
917	#547	C₂²×C₁₃	1	2	yes	—
918	#547	C₂²×C₁₃	1	2	yes	—
919	#547	C₂²×C₁₃	1	2	yes	—
920	#547	C₂²×C₁₃	1	2	yes	complemented
921	#547	C₂²×C₁₃	1	4	yes	complemented
922	#547	C₂²×C₁₃	1	2	yes	complemented
923	#547	C₂²×C₁₃	1	4	yes	complemented
924	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
925	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
926	#547	C₂²×C₁₃	1	8	yes	complemented
927	#547	C₂²×C₁₃	1	4	yes	complemented
928	#547	C₂²×C₁₃	1	4	yes	complemented
929	#547	C₂²×C₁₃	1	2	yes	complemented
930	#547	C₂²×C₁₃	1	4	yes	complemented
931	#547	C₂²×C₁₃	1	2	yes	complemented
932	#547	C₂²×C₁₃	1	2	yes	complemented
933	#546	C₂²×C₁₃	1	4	yes	—
934	#546	C₂²×C₁₃	1	2	yes	—
935	#546	C₂²×C₁₃	1	2	yes	complemented
936	#546	C₂²×C₁₃	1	8	yes	complemented
937	#546	C₂²×C₁₃	1	4	yes	complemented
938	#546	C₂²×C₁₃	1	4	yes	complemented
939	D₄²	C₂²×C₁₃	1	2	yes	—
940	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
941	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
942	#544	C₂²×C₁₃	1	4	yes	complemented
943	#542	C₂²×C₁₃	1	2	yes	complemented
944	#542	C₂²×C₁₃	1	2	yes	complemented
945	#542	C₂²×C₁₃	1	4	yes	complemented
946	#542	C₂²×C₁₃	1	8	yes	complemented
947	#542	C₂²×C₁₃	1	4	yes	complemented
948	#542	C₂²×C₁₃	1	8	yes	complemented
949	#541	C₂²×C₁₃	1	4	yes	complemented
950	#541	C₂²×C₁₃	1	4	yes	complemented
951	#540	C₂²×C₁₃	1	2	yes	complemented
952	#540	C₂²×C₁₃	1	2	yes	complemented
953	#540	C₂²×C₁₃	1	8	yes	complemented
954	#540	C₂²×C₁₃	1	4	yes	complemented
955	#540	C₂²×C₁₃	1	8	yes	complemented
956	#540	C₂²×C₁₃	1	8	yes	complemented
957	#539	C₂²×C₁₃	1	8	yes	complemented
958	#539	C₂²×C₁₃	1	8	yes	complemented
959	#539	C₂²×C₁₃	1	8	yes	complemented
960	#539	C₂²×C₁₃	1	8	yes	complemented
961	#538	C₂²×C₁₃	1	4	yes	complemented
962	#538	C₂²×C₁₃	1	4	yes	complemented
963	#538	C₂²×C₁₃	1	8	yes	complemented
964	#538	C₂²×C₁₃	1	8	yes	complemented
965	#538	C₂²×C₁₃	1	8	yes	complemented
966	#537	C₂²×C₁₃	1	1	yes	characteristic
967	#537	C₂²×C₁₃	1	4	yes	complemented
968	#537	C₂²×C₁₃	1	4	yes	complemented
969	#537	C₂²×C₁₃	1	4	yes	complemented
970	#537	C₂²×C₁₃	1	4	yes	complemented
971	#537	C₂²×C₁₃	1	4	yes	complemented
972	#536	C₂²×C₁₃	1	2	yes	—
973	#536	C₂²×C₁₃	1	2	yes	complemented
974	#536	C₂²×C₁₃	1	4	yes	complemented
975	#536	C₂²×C₁₃	1	4	yes	complemented
976	#536	C₂²×C₁₃	1	4	yes	complemented
977	#535	C₂²×C₁₃	1	1	yes	characteristic
978	#535	C₂²×C₁₃	1	2	yes	complemented
979	#535	C₂²×C₁₃	1	4	yes	complemented
980	#535	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	#535	C₂²×C₁₃	1	8	yes	complemented
982	#535	C₂²×C₁₃	1	4	yes	complemented
983	#534	C₂²×C₁₃	1	8	yes	complemented
984	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
985	#533	C₂²×C₁₃	1	4	yes	complemented
986	#533	C₂²×C₁₃	1	2	yes	complemented
987	#533	C₂²×C₁₃	1	2	yes	complemented
988	#532	C₂²×C₁₃	1	1	yes	characteristic
989	#532	C₂²×C₁₃	1	4	yes	complemented
990	#532	C₂²×C₁₃	1	4	yes	complemented
991	#532	C₂²×C₁₃	1	2	yes	complemented
992	#532	C₂²×C₁₃	1	2	yes	complemented
993	#532	C₂²×C₁₃	1	2	yes	complemented
994	#532	C₂²×C₁₃	1	2	yes	complemented
995	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
996	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
997	#529	C₂²×C₁₃	1	2	yes	complemented
998	#529	C₂²×C₁₃	1	2	yes	complemented
999	#529	C₂²×C₁₃	1	2	yes	complemented
1000	#529	C₂²×C₁₃	1	4	yes	complemented
1001	#529	C₂²×C₁₃	1	4	yes	complemented
1002	#525	C₂²×C₁₃	1	2	yes	—
1003	#525	C₂²×C₁₃	1	8	yes	complemented
1004	#525	C₂²×C₁₃	1	4	yes	complemented
1005	#525	C₂²×C₁₃	1	4	yes	complemented
1006	#525	C₂²×C₁₃	1	4	yes	complemented
1007	#525	C₂²×C₁₃	1	4	yes	complemented
1008	#525	C₂²×C₁₃	1	2	yes	complemented
1009	#525	C₂²×C₁₃	1	8	yes	complemented
1010	#525	C₂²×C₁₃	1	4	yes	complemented
1011	#525	C₂²×C₁₃	1	4	yes	complemented
1012	C₂×#123	C₂²×C₁₃	1	4	yes	complemented
1013	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
1014	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	4	yes	complemented
1015	C₂×#121	C₂²×C₁₃	1	2	yes	—
1016	#520	C₂²×C₁₃	1	2	yes	complemented
1017	#520	C₂²×C₁₃	1	4	yes	complemented
1018	#520	C₂²×C₁₃	1	4	yes	complemented
1019	#519	C₂²×C₁₃	1	2	yes	complemented
1020	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
1021	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
1022	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
1023	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
1024	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
1025	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
1026	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
1027	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
1028	C₂²×C₁₃	—	2	1	no	—
1029	C₂²×C₁₃	—	2	1	no	—
1030	C₂²×C₁₃	—	2	2	no	—
1031	C₂²×C₁₃	—	2	2	no	—
1032	C₂²×C₁₃	—	2	2	no	—
1033	C₂²×C₁₃	—	2	4	no	—
1034	C₂²×C₁₃	—	2	2	no	—
1035	C₂²×C₁₃	—	2	4	no	—
1036	C₂²×C₁₃	—	2	4	no	—
1037	C₂²×C₁₃	—	2	2	no	—
1038	C₂²×C₁₃	—	2	2	no	—
1039	C₂²×C₁₃	—	2	2	no	—
1040	C₂²×C₁₃	—	2	4	no	—
1041	C₂²×C₁₃	—	2	2	no	—
1042	C₂²×C₁₃	—	2	2	no	—
1043	C₂²×C₁₃	—	2	2	no	—
1044	C₂²×C₁₃	—	2	2	no	—
1045	C₂²×C₁₃	—	2	4	no	—
1046	C₂²×C₁₃	—	2	4	no	—
1047	C₂²×C₁₃	—	2	2	no	—
1048	C₂²×C₁₃	—	4	8	no	—
1049	C₂²×C₁₃	—	8	4	no	—
1050	C₂²×C₁₃	—	8	8	no	—
1051	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1052	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1053	C₄×C₁₃	—	2	2	no	—
1054	C₄×C₁₃	—	2	2	no	—
1055	C₄×C₁₃	—	2	2	no	—
1056	C₄×C₁₃	—	2	4	no	—
1057	C₄×C₁₃	—	2	2	no	—
1058	C₄×C₁₃	—	2	8	no	—
1059	C₄×C₁₃	—	2	1	no	—
1060	C₄×C₁₃	—	2	4	no	—
1061	C₄×C₁₃	—	2	2	no	—
1062	C₄×C₁₃	—	2	2	no	—
1063	C₄×C₁₃	—	2	4	no	—
1064	C₄×C₁₃	—	2	1	no	—
1065	C₄×C₁₃	—	2	2	no	—
1066	C₄×C₁₃	—	2	1	no	—
1067	C₄×C₁₃	—	2	2	no	—
1068	C₄×C₁₃	—	2	4	no	—
1069	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1070	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1071	C₄×C₁₃	#585	1	2	yes	—
1072	2₋¹⁺⁴	—	4	8	no	—
1073	C₂×#41	—	4	8	no	—
1074	C₂×#41	—	4	8	no	—
1075	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1076	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1077	C₂×#41	C₂³×C₁₃	1	2	yes	—
1078	C₂×#41	C₂³×C₁₃	1	2	yes	—
1079	C₂×#41	C₂³×C₁₃	1	4	yes	—
1080	C₂×#41	C₂³×C₁₃	1	4	yes	—
1081	C₂×#41	C₂³×C₁₃	1	4	yes	—
1082	C₂×#41	C₂³×C₁₃	1	4	yes	—
1083	C₂×#41	C₂³×C₁₃	1	4	yes	—
1084	C₂×#41	C₂³×C₁₃	1	8	yes	—
1085	C₂×#41	C₂³×C₁₃	1	4	yes	—
1086	C₂×#41	C₂³×C₁₃	1	2	yes	—
1087	C₂×#41	C₂³×C₁₃	1	2	yes	—
1088	C₂×#41	C₂³×C₁₃	1	4	yes	—
1089	C₂×#41	C₂³×C₁₃	1	4	yes	—
1090	C₂×#41	C₂³×C₁₃	1	4	yes	—
1091	C₂×#41	C₂³×C₁₃	1	4	yes	—
1092	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1093	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1094	C₂²×Q₈	C₂³×C₁₃	1	4	yes	—
1095	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1096	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1097	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1098	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1099	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1100	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1101	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1102	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
1103	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
1104	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
1105	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
1106	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1107	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1108	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1109	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1110	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1111	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1112	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1113	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1114	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1115	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1116	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1117	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1118	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1119	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1120	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	—
1121	#127	C₂³×C₁₃	1	1	yes	characteristic
1122	#127	C₂³×C₁₃	1	2	yes	—
1123	#127	C₂³×C₁₃	1	4	yes	—
1124	#127	C₂³×C₁₃	1	2	yes	—
1125	#127	C₂³×C₁₃	1	2	yes	—
1126	#127	C₂³×C₁₃	1	8	yes	—
1127	#127	C₂³×C₁₃	1	8	yes	—
1128	#126	C₂³×C₁₃	1	4	yes	—
1129	#126	C₂³×C₁₃	1	4	yes	—
1130	#126	C₂³×C₁₃	1	8	yes	—
1131	#126	C₂³×C₁₃	1	4	yes	—
1132	#126	C₂³×C₁₃	1	4	yes	—
1133	#126	C₂³×C₁₃	1	4	yes	—
1134	#126	C₂³×C₁₃	1	8	yes	—
1135	#126	C₂³×C₁₃	1	8	yes	—
1136	#126	C₂³×C₁₃	1	8	yes	—
1137	#126	C₂³×C₁₃	1	8	yes	—
1138	#126	C₂³×C₁₃	1	8	yes	—
1139	#126	C₂³×C₁₃	1	8	yes	—
1140	#125	C₂³×C₁₃	1	2	yes	—
1141	#125	C₂³×C₁₃	1	4	yes	—
1142	#125	C₂³×C₁₃	1	2	yes	—
1143	#125	C₂³×C₁₃	1	2	yes	—
1144	#125	C₂³×C₁₃	1	8	yes	—
1145	#125	C₂³×C₁₃	1	4	yes	—
1146	#125	C₂³×C₁₃	1	4	yes	—
1147	#125	C₂³×C₁₃	1	2	yes	—
1148	#125	C₂³×C₁₃	1	8	yes	—
1149	#125	C₂³×C₁₃	1	8	yes	—
1150	#125	C₂³×C₁₃	1	8	yes	—
1151	#125	C₂³×C₁₃	1	8	yes	—
1152	#124	C₂³×C₁₃	1	2	yes	—
1153	#124	C₂³×C₁₃	1	4	yes	—
1154	#124	C₂³×C₁₃	1	2	yes	—
1155	#124	C₂³×C₁₃	1	4	yes	—
1156	#124	C₂³×C₁₃	1	2	yes	—
1157	#124	C₂³×C₁₃	1	2	yes	—
1158	#124	C₂³×C₁₃	1	4	yes	—
1159	#124	C₂³×C₁₃	1	4	yes	—
1160	#124	C₂³×C₁₃	1	4	yes	—
1161	#124	C₂³×C₁₃	1	4	yes	—
1162	#124	C₂³×C₁₃	1	4	yes	—
1163	#124	C₂³×C₁₃	1	8	yes	—
1164	#124	C₂³×C₁₃	1	8	yes	—
1165	#124	C₂³×C₁₃	1	8	yes	—
1166	#124	C₂³×C₁₃	1	8	yes	—
1167	#124	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	4	yes	—
1173	#123	C₂³×C₁₃	1	4	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	4	yes	—
1179	#123	C₂³×C₁₃	1	4	yes	—
1180	#123	C₂³×C₁₃	1	4	yes	—
1181	#123	C₂³×C₁₃	1	8	yes	—
1182	#123	C₂³×C₁₃	1	8	yes	—
1183	#123	C₂³×C₁₃	1	4	yes	—
1184	#123	C₂³×C₁₃	1	4	yes	—
1185	#123	C₂³×C₁₃	1	4	yes	—
1186	#123	C₂³×C₁₃	1	4	yes	—
1187	#123	C₂³×C₁₃	1	4	yes	—
1188	#123	C₂³×C₁₃	1	4	yes	—
1189	#123	C₂³×C₁₃	1	8	yes	—
1190	#123	C₂³×C₁₃	1	8	yes	—
1191	#123	C₂³×C₁₃	1	8	yes	—
1192	#123	C₂³×C₁₃	1	8	yes	—
1193	#123	C₂³×C₁₃	1	8	yes	—
1194	#123	C₂³×C₁₃	1	8	yes	—
1195	#123	C₂³×C₁₃	1	8	yes	—
1196	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1197	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1198	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1199	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1200	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1201	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1202	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1203	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1204	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1205	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1206	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1207	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1208	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1209	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1210	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1211	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1212	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1213	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1214	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1215	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1216	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1217	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1218	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1219	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1220	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1221	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1222	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1223	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1224	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1225	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1226	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1227	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1228	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1229	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1230	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1231	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1232	#121	C₂³×C₁₃	1	4	yes	—
1233	#121	C₂³×C₁₃	1	4	yes	—
1234	#121	C₂³×C₁₃	1	8	yes	—
1235	#121	C₂³×C₁₃	1	2	yes	—
1236	#121	C₂³×C₁₃	1	2	yes	—
1237	#121	C₂³×C₁₃	1	2	yes	—
1238	#121	C₂³×C₁₃	1	2	yes	—
1239	#121	C₂³×C₁₃	1	2	yes	—
1240	#121	C₂³×C₁₃	1	2	yes	—
1241	#121	C₂³×C₁₃	1	2	yes	—
1242	#121	C₂³×C₁₃	1	8	yes	—
1243	#121	C₂³×C₁₃	1	4	yes	—
1244	#121	C₂³×C₁₃	1	4	yes	—
1245	#121	C₂³×C₁₃	1	8	yes	—
1246	#121	C₂³×C₁₃	1	4	yes	—
1247	#121	C₂³×C₁₃	1	4	yes	—
1248	#121	C₂³×C₁₃	1	2	yes	—
1249	#121	C₂³×C₁₃	1	8	yes	—
1250	#121	C₂³×C₁₃	1	8	yes	—
1251	#121	C₂³×C₁₃	1	4	yes	—
1252	#121	C₂³×C₁₃	1	4	yes	—
1253	#121	C₂³×C₁₃	1	4	yes	—
1254	#121	C₂³×C₁₃	1	2	yes	—
1255	#121	C₂³×C₁₃	1	2	yes	—
1256	#121	C₂³×C₁₃	1	4	yes	—
1257	#121	C₂³×C₁₃	1	2	yes	—
1258	#121	C₂³×C₁₃	1	8	yes	—
1259	#121	C₂³×C₁₃	1	8	yes	—
1260	#121	C₂³×C₁₃	1	8	yes	—
1261	#121	C₂³×C₁₃	1	8	yes	—
1262	#121	C₂³×C₁₃	1	4	yes	—
1263	#121	C₂³×C₁₃	1	2	yes	—
1264	#121	C₂³×C₁₃	1	2	yes	—
1265	#121	C₂³×C₁₃	1	2	yes	—
1266	#121	C₂³×C₁₃	1	2	yes	—
1267	#121	C₂³×C₁₃	1	4	yes	—
1268	#121	C₂³×C₁₃	1	4	yes	—
1269	#121	C₂³×C₁₃	1	4	yes	—
1270	#121	C₂³×C₁₃	1	4	yes	—
1271	#121	C₂³×C₁₃	1	8	yes	—
1272	#121	C₂³×C₁₃	1	8	yes	—
1273	#121	C₂³×C₁₃	1	8	yes	—
1274	#121	C₂³×C₁₃	1	8	yes	—
1275	#121	C₂³×C₁₃	1	8	yes	—
1276	#121	C₂³×C₁₃	1	8	yes	—
1277	#121	C₂³×C₁₃	1	8	yes	—
1278	#121	C₂³×C₁₃	1	8	yes	—
1279	#120	C₂³×C₁₃	1	4	yes	—
1280	#120	C₂³×C₁₃	1	4	yes	—
1281	#120	C₂³×C₁₃	1	8	yes	—
1282	#120	C₂³×C₁₃	1	4	yes	—
1283	#120	C₂³×C₁₃	1	8	yes	—
1284	#120	C₂³×C₁₃	1	8	yes	—
1285	#120	C₂³×C₁₃	1	4	yes	—
1286	#120	C₂³×C₁₃	1	8	yes	—
1287	#120	C₂³×C₁₃	1	4	yes	—
1288	#120	C₂³×C₁₃	1	4	yes	—
1289	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1290	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1291	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1292	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1293	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1294	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1295	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1296	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1297	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1298	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1299	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1300	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1301	C₄×Q₈	C₂³×C₁₃	1	8	yes	—
1302	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1303	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1304	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1305	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1306	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1307	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1308	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1309	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1310	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1311	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1312	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1313	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1314	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1315	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1316	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1317	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1318	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1319	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1320	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1321	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1322	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1323	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1324	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1325	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1326	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1327	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1328	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1329	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1330	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1331	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1332	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1333	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1334	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1335	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1336	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1337	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1338	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1339	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1340	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1341	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1342	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1343	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1344	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1345	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1346	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1347	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1348	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1349	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1350	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1351	#117	C₂³×C₁₃	1	1	yes	characteristic
1352	#117	C₂³×C₁₃	1	2	yes	—
1353	#117	C₂³×C₁₃	1	4	yes	—
1354	#117	C₂³×C₁₃	1	2	yes	—
1355	#117	C₂³×C₁₃	1	2	yes	—
1356	#117	C₂³×C₁₃	1	4	yes	—
1357	#117	C₂³×C₁₃	1	1	yes	characteristic
1358	#117	C₂³×C₁₃	1	2	yes	—
1359	#117	C₂³×C₁₃	1	2	yes	—
1360	#117	C₂³×C₁₃	1	2	yes	—
1361	#117	C₂³×C₁₃	1	4	yes	—
1362	#117	C₂³×C₁₃	1	8	yes	—
1363	#117	C₂³×C₁₃	1	4	yes	—
1364	#117	C₂³×C₁₃	1	4	yes	—
1365	#117	C₂³×C₁₃	1	4	yes	—
1366	#117	C₂³×C₁₃	1	8	yes	—
1367	#117	C₂³×C₁₃	1	4	yes	—
1368	#117	C₂³×C₁₃	1	4	yes	—
1369	#117	C₂³×C₁₃	1	8	yes	—
1370	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1371	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1372	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1373	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1374	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1375	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1376	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1377	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1378	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1379	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1380	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1381	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1382	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1383	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1384	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1385	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1386	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1387	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1388	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1389	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1390	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1391	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1392	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1393	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1394	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1395	C₂×C₁₃	—	2	2	no	—
1396	C₂×C₁₃	—	4	2	no	—
1397	C₂×C₁₃	—	4	4	no	—
1398	C₂×C₁₃	—	4	2	no	—
1399	C₂×C₁₃	—	4	4	no	—
1400	C₂×C₁₃	—	4	2	no	—
1401	C₂×C₁₃	—	4	2	no	—
1402	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1403	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1404	C₂×C₁₃	2₋¹⁺⁶	1	1	yes	characteristic
1405	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1406	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1407	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1408	#41	—	2	4	no	—
1409	#41	—	2	8	no	—
1410	#41	—	2	4	no	—
1411	#41	—	4	8	no	—
1412	#41	—	4	8	no	—
1413	#41	—	4	8	no	—
1414	#41	—	4	16	no	—
1415	#41	—	4	8	no	—
1416	#41	—	4	8	no	—
1417	#41	—	4	8	no	—
1418	#41	—	4	8	no	—
1419	#41	—	4	4	no	—
1420	#41	—	4	4	no	—
1421	#41	—	4	8	no	—
1422	#41	—	4	8	no	—
1423	#41	—	4	8	no	—
1424	#41	—	4	4	no	—
1425	C₂×Q₈	—	2	8	no	—
1426	C₂×Q₈	—	4	4	no	—
1427	C₂×Q₈	—	4	8	no	—
1428	C₂×Q₈	—	4	8	no	—
1429	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1430	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1431	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1432	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1433	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1434	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1435	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1436	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1437	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1438	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1439	C₂×D₄	—	2	4	no	—
1440	C₂×D₄	—	4	4	no	—
1441	C₂×D₄	—	4	2	no	—
1442	C₂×D₄	—	4	4	no	—
1443	C₂×D₄	—	4	8	no	—
1444	C₂×D₄	—	4	8	no	—
1445	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1446	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1447	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1448	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1449	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1450	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1451	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1452	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1453	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1454	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1455	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1456	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1457	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1458	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1459	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1460	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1461	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1462	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1463	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1464	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1465	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1466	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1467	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1468	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1469	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1470	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1471	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1472	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1473	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1474	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1475	C₂²×C₄	—	2	8	no	—
1476	C₂²×C₄	—	4	8	no	—
1477	C₂²×C₄	—	4	4	no	—
1478	C₂²×C₄	—	4	8	no	—
1479	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1480	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1481	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1482	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1483	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1484	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1485	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1486	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1487	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1488	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1489	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1490	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1491	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1492	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1493	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1494	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1495	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1496	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1497	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1498	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1499	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1500	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1501	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1502	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1503	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1504	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1505	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1506	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1507	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1508	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1509	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1510	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1511	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1512	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1513	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1514	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1515	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1516	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1517	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1518	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1519	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1520	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1521	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1522	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1523	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1524	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1525	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1526	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1527	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1528	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1529	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1530	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1531	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1532	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1533	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1534	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1535	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1536	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1537	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1538	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1539	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1540	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1541	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1542	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1543	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1544	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1545	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1546	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1547	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1548	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1549	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1550	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1551	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1552	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1553	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1554	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1555	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1556	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1557	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1558	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1559	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1560	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1561	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1562	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1563	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1564	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1565	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1566	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1567	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1568	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1569	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1570	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1571	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1572	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1573	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1574	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1575	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1576	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1577	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1578	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1579	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1580	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1581	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1582	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1583	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1584	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1585	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1586	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1587	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1588	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1589	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1590	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1591	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1592	C₄²	C₂⁴×C₁₃	1	2	yes	—
1593	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1594	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1595	C₄²	C₂⁴×C₁₃	1	4	yes	—
1596	C₄²	C₂⁴×C₁₃	1	4	yes	—
1597	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1598	C₄²	C₂⁴×C₁₃	1	2	yes	—
1599	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1600	C₄²	C₂⁴×C₁₃	1	2	yes	—
1601	C₄²	C₂⁴×C₁₃	1	2	yes	—
1602	C₄²	C₂⁴×C₁₃	1	4	yes	—
1603	C₄²	C₂⁴×C₁₃	1	2	yes	—
1604	C₄²	C₂⁴×C₁₃	1	2	yes	—
1605	C₄²	C₂⁴×C₁₃	1	8	yes	—
1606	C₄²	C₂⁴×C₁₃	1	8	yes	—
1607	C₄²	C₂⁴×C₁₃	1	8	yes	—
1608	C₁₃	#62925	1	1	yes	characteristic, direct product factor, Sylow
1609	C₂³	—	2	4	no	—
1610	C₂³	—	2	4	no	—
1611	C₂³	—	4	2	no	—
1612	C₂³	—	4	2	no	—
1613	C₂³	—	4	4	no	—
1614	C₂³	—	4	2	no	—
1615	C₂³	—	4	4	no	—
1616	C₂³	—	4	2	no	—
1617	C₂³	—	4	4	no	—
1618	C₂³	C₂⁵×C₁₃	1	2	yes	—
1619	C₂³	C₂⁵×C₁₃	1	2	yes	—
1620	C₂³	C₂⁵×C₁₃	1	2	yes	—
1621	C₂³	C₂⁵×C₁₃	1	4	yes	—
1622	C₂³	C₂⁵×C₁₃	1	4	yes	—
1623	C₂³	C₂⁵×C₁₃	1	2	yes	—
1624	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1625	Q₈	—	2	8	no	—
1626	Q₈	—	2	8	no	—
1627	Q₈	—	2	2	no	—
1628	Q₈	—	2	4	no	—
1629	Q₈	—	2	2	no	—
1630	Q₈	—	2	4	no	—
1631	Q₈	—	4	8	no	—
1632	Q₈	—	4	4	no	—
1633	Q₈	—	4	4	no	—
1634	Q₈	—	4	2	no	—
1635	D₄	—	2	4	no	—
1636	D₄	—	2	8	no	—
1637	D₄	—	2	4	no	—
1638	D₄	—	2	4	no	—
1639	D₄	—	2	4	no	—
1640	D₄	—	2	2	no	—
1641	D₄	—	2	4	no	—
1642	D₄	—	2	2	no	—
1643	D₄	—	2	2	no	—
1644	D₄	—	2	2	no	—
1645	D₄	—	2	4	no	—
1646	D₄	—	4	2	no	—
1647	D₄	—	4	4	no	—
1648	D₄	—	4	4	no	—
1649	D₄	—	4	4	no	—
1650	D₄	—	4	4	no	—
1651	D₄	—	4	8	no	—
1652	D₄	—	4	8	no	—
1653	D₄	—	4	4	no	—
1654	D₄	—	4	2	no	—
1655	D₄	—	4	4	no	—
1656	D₄	—	4	4	no	—
1657	D₄	—	4	4	no	—
1658	D₄	—	4	8	no	—
1659	D₄	—	4	4	no	—
1660	D₄	—	4	4	no	—
1661	D₄	—	4	4	no	—
1662	D₄	—	4	8	no	—
1663	D₄	—	4	4	no	—
1664	D₄	—	4	8	no	—
1665	C₂×C₄	—	2	4	no	—
1666	C₂×C₄	—	2	8	no	—
1667	C₂×C₄	—	2	4	no	—
1668	C₂×C₄	—	2	4	no	—
1669	C₂×C₄	—	2	4	no	—
1670	C₂×C₄	—	2	4	no	—
1671	C₂×C₄	—	2	4	no	—
1672	C₂×C₄	—	2	8	no	—
1673	C₂×C₄	—	2	4	no	—
1674	C₂×C₄	—	2	2	no	—
1675	C₂×C₄	—	2	8	no	—
1676	C₂×C₄	—	2	4	no	—
1677	C₂×C₄	—	2	4	no	—
1678	C₂×C₄	—	4	4	no	—
1679	C₂×C₄	—	4	4	no	—
1680	C₂×C₄	—	4	2	no	—
1681	C₂×C₄	—	4	4	no	—
1682	C₂×C₄	—	4	4	no	—
1683	C₂×C₄	—	4	8	no	—
1684	C₂×C₄	—	4	8	no	—
1685	C₂×C₄	—	4	2	no	—
1686	C₂×C₄	—	4	1	no	—
1687	C₂×C₄	—	4	4	no	—
1688	C₂×C₄	—	4	2	no	—
1689	C₂×C₄	—	4	8	no	—
1690	C₂×C₄	—	4	8	no	—
1691	C₂×C₄	—	4	8	no	—
1692	C₂×C₄	—	4	4	no	—
1693	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1694	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1695	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1696	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1697	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1698	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1699	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1700	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1701	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1702	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1703	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1704	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1705	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1706	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1707	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1708	C₂×C₄	C₂⁵×C₁₃	1	8	yes	—
1709	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1710	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1711	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1712	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1713	C₂²	—	2	1	no	—
1714	C₂²	—	2	1	no	—
1715	C₂²	—	2	2	no	—
1716	C₂²	—	2	2	no	—
1717	C₂²	—	2	2	no	—
1718	C₂²	—	2	4	no	—
1719	C₂²	—	2	2	no	—
1720	C₂²	—	2	4	no	—
1721	C₂²	—	2	4	no	—
1722	C₂²	—	2	2	no	—
1723	C₂²	—	2	2	no	—
1724	C₂²	—	2	2	no	—
1725	C₂²	—	2	4	no	—
1726	C₂²	—	2	2	no	—
1727	C₂²	—	2	2	no	—
1728	C₂²	—	2	2	no	—
1729	C₂²	—	2	2	no	—
1730	C₂²	—	2	4	no	—
1731	C₂²	—	2	4	no	—
1732	C₂²	—	2	2	no	—
1733	C₂²	—	4	8	no	—
1734	C₂²	—	8	4	no	—
1735	C₂²	—	8	8	no	—
1736	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1737	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1738	C₄	—	2	2	no	—
1739	C₄	—	2	2	no	—
1740	C₄	—	2	2	no	—
1741	C₄	—	2	4	no	—
1742	C₄	—	2	2	no	—
1743	C₄	—	2	8	no	—
1744	C₄	—	2	1	no	—
1745	C₄	—	2	4	no	—
1746	C₄	—	2	2	no	—
1747	C₄	—	2	2	no	—
1748	C₄	—	2	4	no	—
1749	C₄	—	2	1	no	—
1750	C₄	—	2	2	no	—
1751	C₄	—	2	1	no	—
1752	C₄	—	2	2	no	—
1753	C₄	—	2	4	no	—
1754	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1755	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1756	C₄	C₁₃×#585	1	2	yes	—
1757	C₂	—	2	2	no	—
1758	C₂	—	4	4	no	—
1759	C₂	—	4	2	no	—
1760	C₂	—	4	2	no	—
1761	C₂	—	4	2	no	—
1762	C₂	—	4	4	no	—
1763	C₂	—	4	2	no	—
1764	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1765	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1766	C₂	C₁₃×2₋¹⁺⁶	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3562	C₂	semidirect
2. C₁₃×#3554	C₂	semidirect
3. C₁₃×#3552	C₂	semidirect
4. C₁₃×#3548	C₂	semidirect
5. C₁₃×#3547	C₂	semidirect
6. C₁₃×#3546	C₂	semidirect
7. C₁₃×#3542	C₂	semidirect
8. C₁₃×#3541	C₂	semidirect
9. C₁₃×#3539	C₂	semidirect
10. C₁₃×#3533	C₂	semidirect
11. C₁₃×#3520	C₂	semidirect
12. C₁₃×#3517	C₂	semidirect
13. C₁₃×#3511	C₂	semidirect
14. C₁₃×#3509	C₂	semidirect
15. C₁₃×#3506	C₂	semidirect
16. C₁₃×#3506	C₂	semidirect
17. C₁₃×#3499	C₂	semidirect
18. C₁₃×#3495	C₂	semidirect
19. C₁₃×#3492	C₂	semidirect
20. C₁₃×#3489	C₂	semidirect
21. C₁₃×#3487	C₂	semidirect
22. C₁₃×#3475	C₂	semidirect
23. D₄×C₁₃×#41	C₂	semidirect
24. C₂×C₁₃×#547	C₂	semidirect
25. C₁₃×#3460	C₂	semidirect
26. C₁₃×#3449	C₂	semidirect
27. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
29. C₂²×C₁₃×#41	C₂²	semidirect
30. C₁₃×#563	C₂²	semidirect
31. C₁₃×#562	C₂²	semidirect
32. C₁₃×#562	C₂²	semidirect
33. C₁₃×#562	C₂²	semidirect
34. C₁₃×#560	C₂²	semidirect
35. C₁₃×#560	C₂²	semidirect
36. C₁₃×#559	C₂²	semidirect
37. C₁₃×#559	C₂²	semidirect
38. C₁₃×#557	C₂²	semidirect
39. C₁₃×#557	C₂²	semidirect
40. C₁₃×#556	C₂²	semidirect
41. C₁₃×#556	C₂²	semidirect
42. C₁₃×#556	C₂²	semidirect
43. C₁₃×#556	C₂²	semidirect
44. C₁₃×#556	C₂²	semidirect
45. C₁₃×#555	C₂²	semidirect
46. C₁₃×#555	C₂²	semidirect
47. C₁₃×#555	C₂²	semidirect
48. C₁₃×#554	C₂²	semidirect
49. C₁₃×#554	C₂²	semidirect
50. C₁₃×#554	C₂²	semidirect
51. C₁₃×#554	C₂²	semidirect
52. C₁₃×#554	C₂²	semidirect
53. C₁₃×#553	C₂²	semidirect
54. C₁₃×#553	C₂²	semidirect
55. C₁₃×#553	C₂²	semidirect
56. C₁₃×#553	C₂²	semidirect
57. C₁₃×#553	C₂²	semidirect
58. C₁₃×#553	C₂²	semidirect
59. C₁₃×#553	C₂²	semidirect
60. C₁₃×#553	C₂²	semidirect
61. C₁₃×#552	C₂²	semidirect
62. C₁₃×#552	C₂²	semidirect
63. C₁₃×#552	C₂²	semidirect
64. C₁₃×#552	C₂²	semidirect
65. C₁₃×#552	C₂²	semidirect
66. C₁₃×#552	C₂²	semidirect
67. C₁₃×#552	C₂²	semidirect
68. C₁₃×#551	C₂²	semidirect
69. C₁₃×#551	C₂²	semidirect
70. C₁₃×#551	C₂²	semidirect
71. C₁₃×#550	C₂²	semidirect
72. C₁₃×#550	C₂²	semidirect
73. C₁₃×#550	C₂²	semidirect
74. C₁₃×#550	C₂²	semidirect
75. C₁₃×#550	C₂²	semidirect
76. C₁₃×#550	C₂²	semidirect
77. C₁₃×#550	C₂²	semidirect
78. D₄×Q₈×C₁₃	C₂²	semidirect
79. D₄×Q₈×C₁₃	C₂²	semidirect
80. D₄×Q₈×C₁₃	C₂²	semidirect
81. D₄×Q₈×C₁₃	C₂²	semidirect
82. C₁₃×#548	C₂²	semidirect
83. C₁₃×#548	C₂²	semidirect
84. C₁₃×#548	C₂²	semidirect
85. C₁₃×#548	C₂²	semidirect
86. C₁₃×#548	C₂²	semidirect
87. C₁₃×#548	C₂²	semidirect
91. C₁₃×#547	C₂²	semidirect
92. C₁₃×#547	C₂²	semidirect
93. C₁₃×#547	C₂²	semidirect
94. C₁₃×#547	C₂²	semidirect
95. C₁₃×#547	C₂²	semidirect
96. C₁₃×#547	C₂²	semidirect
97. C₁₃×#547	C₂²	semidirect
98. C₁₃×#547	C₂²	semidirect
99. C₁₃×#547	C₂²	semidirect
100. C₁₃×#547	C₂²	semidirect
101. C₁₃×#547	C₂²	semidirect
102. C₁₃×#547	C₂²	semidirect
103. C₁₃×#547	C₂²	semidirect
106. C₁₃×#546	C₂²	semidirect
107. C₁₃×#546	C₂²	semidirect
108. C₁₃×#546	C₂²	semidirect
109. C₁₃×#546	C₂²	semidirect
111. D₄²×C₁₃	C₂²	semidirect
112. C₁₃×#544	C₂²	semidirect
113. C₁₃×#544	C₂²	semidirect
114. C₁₃×#542	C₂²	semidirect
115. C₁₃×#542	C₂²	semidirect
116. C₁₃×#542	C₂²	semidirect
117. C₁₃×#542	C₂²	semidirect
118. C₁₃×#542	C₂²	semidirect
119. C₁₃×#542	C₂²	semidirect
120. C₁₃×#541	C₂²	semidirect
121. C₁₃×#541	C₂²	semidirect
122. C₁₃×#540	C₂²	semidirect
123. C₁₃×#540	C₂²	semidirect
124. C₁₃×#540	C₂²	semidirect
125. C₁₃×#540	C₂²	semidirect
126. C₁₃×#540	C₂²	semidirect
127. C₁₃×#540	C₂²	semidirect
128. C₁₃×#539	C₂²	semidirect
129. C₁₃×#539	C₂²	semidirect
130. C₁₃×#539	C₂²	semidirect
131. C₁₃×#539	C₂²	semidirect
132. C₁₃×#538	C₂²	semidirect
133. C₁₃×#538	C₂²	semidirect
134. C₁₃×#538	C₂²	semidirect
135. C₁₃×#538	C₂²	semidirect
136. C₁₃×#538	C₂²	semidirect
138. C₁₃×#537	C₂²	semidirect
139. C₁₃×#537	C₂²	semidirect
140. C₁₃×#537	C₂²	semidirect
141. C₁₃×#537	C₂²	semidirect
142. C₁₃×#537	C₂²	semidirect
144. C₁₃×#536	C₂²	semidirect
145. C₁₃×#536	C₂²	semidirect
146. C₁₃×#536	C₂²	semidirect
147. C₁₃×#536	C₂²	semidirect
149. C₁₃×#535	C₂²	semidirect
150. C₁₃×#535	C₂²	semidirect
151. C₁₃×#535	C₂²	semidirect
152. C₁₃×#535	C₂²	semidirect
153. C₁₃×#535	C₂²	semidirect
154. C₁₃×#534	C₂²	semidirect
155. C₁₃×#533	C₂²	semidirect
156. C₁₃×#533	C₂²	semidirect
157. C₁₃×#533	C₂²	semidirect
158. C₁₃×#533	C₂²	semidirect
160. C₁₃×#532	C₂²	semidirect
161. C₁₃×#532	C₂²	semidirect
162. C₁₃×#532	C₂²	semidirect
163. C₁₃×#532	C₂²	semidirect
164. C₁₃×#532	C₂²	semidirect
165. C₁₃×#532	C₂²	semidirect
166. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
167. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
168. C₁₃×#529	C₂²	semidirect
169. C₁₃×#529	C₂²	semidirect
170. C₁₃×#529	C₂²	semidirect
171. C₁₃×#529	C₂²	semidirect
172. C₁₃×#529	C₂²	semidirect
174. C₁₃×#525	C₂²	semidirect
175. C₁₃×#525	C₂²	semidirect
176. C₁₃×#525	C₂²	semidirect
177. C₁₃×#525	C₂²	semidirect
178. C₁₃×#525	C₂²	semidirect
179. C₁₃×#525	C₂²	semidirect
180. C₁₃×#525	C₂²	semidirect
181. C₁₃×#525	C₂²	semidirect
182. C₁₃×#525	C₂²	semidirect
183. C₂×C₁₃×#123	C₂²	semidirect
184. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
185. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
187. C₁₃×#520	C₂²	semidirect
188. C₁₃×#520	C₂²	semidirect
189. C₁₃×#520	C₂²	semidirect
190. C₁₃×#519	C₂²	semidirect
192. C₄×C₁₃×#41	C₂²	semidirect
193. C₄×C₁₃×#41	C₂²	semidirect
195. C₂×C₄×D₄×C₁₃	C₂²	semidirect
196. C₂×C₄×D₄×C₁₃	C₂²	semidirect
197. C₂×C₁₃×#117	C₂²	semidirect
198. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
522. #62925	C₁₃	direct (N × H)
726. #3562	C₂×C₁₃	semidirect
727. #3554	C₂×C₁₃	semidirect
728. #3552	C₂×C₁₃	semidirect
729. #3548	C₂×C₁₃	semidirect
730. #3547	C₂×C₁₃	semidirect
731. #3546	C₂×C₁₃	semidirect
732. #3542	C₂×C₁₃	semidirect
733. #3541	C₂×C₁₃	semidirect
734. #3539	C₂×C₁₃	semidirect
735. #3533	C₂×C₁₃	semidirect
736. #3520	C₂×C₁₃	semidirect
737. #3517	C₂×C₁₃	semidirect
738. #3511	C₂×C₁₃	semidirect
739. #3509	C₂×C₁₃	semidirect
740. #3506	C₂×C₁₃	semidirect
741. #3506	C₂×C₁₃	semidirect
742. #3499	C₂×C₁₃	semidirect
743. #3495	C₂×C₁₃	semidirect
744. #3492	C₂×C₁₃	semidirect
745. #3489	C₂×C₁₃	semidirect
746. #3487	C₂×C₁₃	semidirect
747. #3475	C₂×C₁₃	semidirect
748. D₄×#41	C₂×C₁₃	semidirect
749. C₂×#547	C₂×C₁₃	semidirect
750. #3460	C₂×C₁₃	semidirect
751. #3449	C₂×C₁₃	semidirect
856. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
858. C₂²×#41	C₂²×C₁₃	semidirect
859. #563	C₂²×C₁₃	semidirect
860. #562	C₂²×C₁₃	semidirect
861. #562	C₂²×C₁₃	semidirect
862. #562	C₂²×C₁₃	semidirect
863. #560	C₂²×C₁₃	semidirect
864. #560	C₂²×C₁₃	semidirect
865. #559	C₂²×C₁₃	semidirect
866. #559	C₂²×C₁₃	semidirect
867. #557	C₂²×C₁₃	semidirect
868. #557	C₂²×C₁₃	semidirect
869. #556	C₂²×C₁₃	semidirect
870. #556	C₂²×C₁₃	semidirect
871. #556	C₂²×C₁₃	semidirect
872. #556	C₂²×C₁₃	semidirect
873. #556	C₂²×C₁₃	semidirect
874. #555	C₂²×C₁₃	semidirect
875. #555	C₂²×C₁₃	semidirect
876. #555	C₂²×C₁₃	semidirect
877. #554	C₂²×C₁₃	semidirect
878. #554	C₂²×C₁₃	semidirect
879. #554	C₂²×C₁₃	semidirect
880. #554	C₂²×C₁₃	semidirect
881. #554	C₂²×C₁₃	semidirect
882. #553	C₂²×C₁₃	semidirect
883. #553	C₂²×C₁₃	semidirect
884. #553	C₂²×C₁₃	semidirect
885. #553	C₂²×C₁₃	semidirect
886. #553	C₂²×C₁₃	semidirect
887. #553	C₂²×C₁₃	semidirect
888. #553	C₂²×C₁₃	semidirect
889. #553	C₂²×C₁₃	semidirect
890. #552	C₂²×C₁₃	semidirect
891. #552	C₂²×C₁₃	semidirect
892. #552	C₂²×C₁₃	semidirect
893. #552	C₂²×C₁₃	semidirect
894. #552	C₂²×C₁₃	semidirect
895. #552	C₂²×C₁₃	semidirect
896. #552	C₂²×C₁₃	semidirect
897. #551	C₂²×C₁₃	semidirect
898. #551	C₂²×C₁₃	semidirect
899. #551	C₂²×C₁₃	semidirect
900. #550	C₂²×C₁₃	semidirect
901. #550	C₂²×C₁₃	semidirect
902. #550	C₂²×C₁₃	semidirect
903. #550	C₂²×C₁₃	semidirect
904. #550	C₂²×C₁₃	semidirect
905. #550	C₂²×C₁₃	semidirect
906. #550	C₂²×C₁₃	semidirect
907. D₄×Q₈	C₂²×C₁₃	semidirect
908. D₄×Q₈	C₂²×C₁₃	semidirect
909. D₄×Q₈	C₂²×C₁₃	semidirect
910. D₄×Q₈	C₂²×C₁₃	semidirect
911. #548	C₂²×C₁₃	semidirect
912. #548	C₂²×C₁₃	semidirect
913. #548	C₂²×C₁₃	semidirect
914. #548	C₂²×C₁₃	semidirect
915. #548	C₂²×C₁₃	semidirect
916. #548	C₂²×C₁₃	semidirect
920. #547	C₂²×C₁₃	semidirect
921. #547	C₂²×C₁₃	semidirect
922. #547	C₂²×C₁₃	semidirect
923. #547	C₂²×C₁₃	semidirect
924. #547	C₂²×C₁₃	semidirect
925. #547	C₂²×C₁₃	semidirect
926. #547	C₂²×C₁₃	semidirect
927. #547	C₂²×C₁₃	semidirect
928. #547	C₂²×C₁₃	semidirect
929. #547	C₂²×C₁₃	semidirect
930. #547	C₂²×C₁₃	semidirect
931. #547	C₂²×C₁₃	semidirect
932. #547	C₂²×C₁₃	semidirect
935. #546	C₂²×C₁₃	semidirect
936. #546	C₂²×C₁₃	semidirect
937. #546	C₂²×C₁₃	semidirect
938. #546	C₂²×C₁₃	semidirect
940. D₄²	C₂²×C₁₃	semidirect
941. #544	C₂²×C₁₃	semidirect
942. #544	C₂²×C₁₃	semidirect
943. #542	C₂²×C₁₃	semidirect
944. #542	C₂²×C₁₃	semidirect
945. #542	C₂²×C₁₃	semidirect
946. #542	C₂²×C₁₃	semidirect
947. #542	C₂²×C₁₃	semidirect
948. #542	C₂²×C₁₃	semidirect
949. #541	C₂²×C₁₃	semidirect
950. #541	C₂²×C₁₃	semidirect
951. #540	C₂²×C₁₃	semidirect
952. #540	C₂²×C₁₃	semidirect
953. #540	C₂²×C₁₃	semidirect
954. #540	C₂²×C₁₃	semidirect
955. #540	C₂²×C₁₃	semidirect
956. #540	C₂²×C₁₃	semidirect
957. #539	C₂²×C₁₃	semidirect
958. #539	C₂²×C₁₃	semidirect
959. #539	C₂²×C₁₃	semidirect
960. #539	C₂²×C₁₃	semidirect
961. #538	C₂²×C₁₃	semidirect
962. #538	C₂²×C₁₃	semidirect
963. #538	C₂²×C₁₃	semidirect
964. #538	C₂²×C₁₃	semidirect
965. #538	C₂²×C₁₃	semidirect
967. #537	C₂²×C₁₃	semidirect
968. #537	C₂²×C₁₃	semidirect
969. #537	C₂²×C₁₃	semidirect
970. #537	C₂²×C₁₃	semidirect
971. #537	C₂²×C₁₃	semidirect
973. #536	C₂²×C₁₃	semidirect
974. #536	C₂²×C₁₃	semidirect
975. #536	C₂²×C₁₃	semidirect
976. #536	C₂²×C₁₃	semidirect
978. #535	C₂²×C₁₃	semidirect
979. #535	C₂²×C₁₃	semidirect
980. #535	C₂²×C₁₃	semidirect
981. #535	C₂²×C₁₃	semidirect
982. #535	C₂²×C₁₃	semidirect
983. #534	C₂²×C₁₃	semidirect
984. #533	C₂²×C₁₃	semidirect
985. #533	C₂²×C₁₃	semidirect
986. #533	C₂²×C₁₃	semidirect
987. #533	C₂²×C₁₃	semidirect
989. #532	C₂²×C₁₃	semidirect
990. #532	C₂²×C₁₃	semidirect
991. #532	C₂²×C₁₃	semidirect
992. #532	C₂²×C₁₃	semidirect
993. #532	C₂²×C₁₃	semidirect
994. #532	C₂²×C₁₃	semidirect
995. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
996. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
997. #529	C₂²×C₁₃	semidirect
998. #529	C₂²×C₁₃	semidirect
999. #529	C₂²×C₁₃	semidirect
1000. #529	C₂²×C₁₃	semidirect
1001. #529	C₂²×C₁₃	semidirect
1003. #525	C₂²×C₁₃	semidirect
1004. #525	C₂²×C₁₃	semidirect
1005. #525	C₂²×C₁₃	semidirect
1006. #525	C₂²×C₁₃	semidirect
1007. #525	C₂²×C₁₃	semidirect
1008. #525	C₂²×C₁₃	semidirect
1009. #525	C₂²×C₁₃	semidirect
1010. #525	C₂²×C₁₃	semidirect
1011. #525	C₂²×C₁₃	semidirect
1012. C₂×#123	C₂²×C₁₃	semidirect
1013. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
1014. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
1016. #520	C₂²×C₁₃	semidirect
1017. #520	C₂²×C₁₃	semidirect
1018. #520	C₂²×C₁₃	semidirect
1019. #519	C₂²×C₁₃	semidirect
1021. C₄×#41	C₂²×C₁₃	semidirect
1022. C₄×#41	C₂²×C₁₃	semidirect
1024. C₂×C₄×D₄	C₂²×C₁₃	semidirect
1025. C₂×C₄×D₄	C₂²×C₁₃	semidirect
1026. C₂×#117	C₂²×C₁₃	semidirect
1027. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
1608. C₁₃	#62925	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₁₃×#3562	2
C₁₃×#3554	2
C₁₃×#3552	2
C₁₃×#3548	2
C₁₃×#3547	2
C₁₃×#3546	2
C₁₃×#3542	2
C₁₃×#3541	2
C₁₃×#3539	2
C₁₃×#3533	2
C₁₃×#3520	2
C₁₃×#3517	2
C₁₃×#3511	2
C₁₃×#3509	2
C₁₃×#3506	2
C₁₃×#3499	2
C₁₃×#3495	2
C₁₃×#3492	2
C₁₃×#3489	2
C₁₃×#3487	2
C₁₃×#3475	2
D₄×C₁₃×#41	2
C₂×C₁₃×#547	2
C₁₃×#3460	2
C₁₃×#3449	2
#62925	13

Subgroups — C13×#62925 #15749264

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62925 #15749264