Subgroups — C₁₃×#62955 #15749294

Order 3328.

7310 conjugacy classes of subgroups.

The subgroup lattice has 1794 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	2	yes	maximal, complemented
3	C₁₃×#3548	C₂	1	2	yes	maximal, complemented
4	C₁₃×#3546	C₂	1	2	yes	maximal, complemented
5	C₁₃×#3546	C₂	1	4	yes	maximal, complemented
6	C₁₃×#3543	C₂	1	2	yes	maximal, complemented
7	C₁₃×#3543	C₂	1	4	yes	maximal, complemented
8	C₁₃×#3542	C₂	1	4	yes	maximal, complemented
9	C₁₃×#3539	C₂	1	4	yes	maximal, complemented
10	C₁₃×#3534	C₂	1	8	yes	maximal, complemented
11	C₁₃×#3519	C₂	1	2	yes	maximal, complemented
12	C₁₃×#3517	C₂	1	2	yes	maximal, complemented
13	C₁₃×#3513	C₂	1	4	yes	maximal, complemented
14	C₁₃×#3508	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3508	C₂	1	2	yes	maximal, complemented
16	C₁₃×#3507	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3506	C₂	1	2	yes	maximal, complemented
18	C₁₃×#3498	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3494	C₂	1	2	yes	maximal, complemented
20	C₁₃×#3488	C₂	1	2	yes	maximal, complemented
21	C₁₃×#3485	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×#550	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3461	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3449	C₂	1	2	yes	maximal, complemented
27	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	2	yes	complemented
28	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
29	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
30	C₁₃×#562	C₂²	1	8	yes	complemented
31	C₁₃×#562	C₂²	1	8	yes	complemented
32	C₁₃×#560	C₂²	1	8	yes	complemented
33	C₁₃×#560	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	4	yes	complemented
37	C₁₃×#559	C₂²	1	2	yes	complemented
38	C₁₃×#559	C₂²	1	2	yes	complemented
39	C₁₃×#559	C₂²	1	2	yes	complemented
40	C₁₃×#559	C₂²	1	4	yes	complemented
41	C₁₃×#557	C₂²	1	2	yes	complemented
42	C₁₃×#556	C₂²	1	4	yes	complemented
43	C₁₃×#556	C₂²	1	2	yes	complemented
44	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#555	C₂²	1	4	yes	complemented
47	C₁₃×#554	C₂²	1	2	yes	complemented
48	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
49	C₁₃×#554	C₂²	1	4	yes	complemented
50	C₁₃×#553	C₂²	1	4	yes	complemented
51	C₁₃×#553	C₂²	1	4	yes	complemented
52	C₁₃×#553	C₂²	1	8	yes	complemented
53	C₁₃×#553	C₂²	1	8	yes	complemented
54	C₁₃×#553	C₂²	1	4	yes	complemented
55	C₁₃×#553	C₂²	1	8	yes	complemented
56	C₁₃×#553	C₂²	1	2	yes	complemented
57	C₁₃×#552	C₂²	1	2	yes	complemented
58	C₁₃×#552	C₂²	1	4	yes	complemented
59	C₁₃×#552	C₂²	1	2	yes	complemented
60	C₁₃×#551	C₂²	1	4	yes	complemented
61	C₁₃×#551	C₂²	1	8	yes	complemented
62	C₁₃×#551	C₂²	1	8	yes	complemented
63	C₁₃×#550	C₂²	1	2	yes	complemented
64	C₁₃×#550	C₂²	1	2	yes	complemented
65	C₁₃×#550	C₂²	1	4	yes	complemented
66	C₁₃×#550	C₂²	1	4	yes	complemented
67	C₁₃×#550	C₂²	1	4	yes	complemented
68	C₁₃×#550	C₂²	1	2	yes	complemented
69	C₁₃×#550	C₂²	1	2	yes	complemented
70	C₁₃×#550	C₂²	1	2	yes	complemented
71	C₁₃×#550	C₂²	1	2	yes	complemented
72	C₁₃×#550	C₂²	1	4	yes	complemented
73	C₁₃×#550	C₂²	1	4	yes	complemented
74	C₁₃×#550	C₂²	1	2	yes	complemented
75	C₁₃×#550	C₂²	1	2	yes	complemented
76	C₁₃×#550	C₂²	1	1	yes	characteristic, complemented
77	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#548	C₂²	1	4	yes	complemented
79	C₁₃×#548	C₂²	1	2	yes	complemented
80	C₁₃×#547	C₂²	1	4	yes	complemented
81	C₁₃×#547	C₂²	1	4	yes	complemented
82	C₁₃×#547	C₂²	1	4	yes	complemented
83	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#547	C₂²	1	4	yes	complemented
85	C₁₃×#547	C₂²	1	4	yes	complemented
86	C₁₃×#547	C₂²	1	2	yes	complemented
87	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#546	C₂²	1	8	yes	complemented
89	C₁₃×#546	C₂²	1	4	yes	complemented
90	C₁₃×#546	C₂²	1	4	yes	complemented
91	C₁₃×#546	C₂²	1	4	yes	complemented
92	C₁₃×#546	C₂²	1	8	yes	complemented
93	C₁₃×#546	C₂²	1	8	yes	complemented
94	C₁₃×#546	C₂²	1	8	yes	complemented
95	C₁₃×#546	C₂²	1	4	yes	complemented
96	C₁₃×#546	C₂²	1	2	yes	complemented
97	C₁₃×#546	C₂²	1	4	yes	complemented
98	C₁₃×#546	C₂²	1	4	yes	complemented
99	C₁₃×#546	C₂²	1	4	yes	complemented
100	C₁₃×#546	C₂²	1	2	yes	complemented
101	C₁₃×#546	C₂²	1	4	yes	complemented
102	C₁₃×#546	C₂²	1	4	yes	complemented
103	D₄²×C₁₃	C₂²	1	4	yes	complemented
104	D₄²×C₁₃	C₂²	1	2	yes	complemented
105	D₄²×C₁₃	C₂²	1	4	yes	complemented
106	D₄²×C₁₃	C₂²	1	8	yes	complemented
107	D₄²×C₁₃	C₂²	1	2	yes	complemented
108	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
109	D₄²×C₁₃	C₂²	1	2	yes	complemented
110	D₄²×C₁₃	C₂²	1	4	yes	complemented
111	D₄²×C₁₃	C₂²	1	4	yes	complemented
112	C₁₃×#544	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#542	C₂²	1	2	yes	complemented
114	C₁₃×#542	C₂²	1	2	yes	complemented
115	C₁₃×#542	C₂²	1	4	yes	complemented
116	C₁₃×#542	C₂²	1	4	yes	complemented
117	C₁₃×#541	C₂²	1	2	yes	complemented
118	C₁₃×#541	C₂²	1	2	yes	complemented
119	C₁₃×#540	C₂²	1	4	yes	complemented
120	C₁₃×#540	C₂²	1	8	yes	complemented
121	C₁₃×#540	C₂²	1	8	yes	complemented
122	C₁₃×#540	C₂²	1	4	yes	complemented
123	C₁₃×#540	C₂²	1	8	yes	complemented
124	C₁₃×#540	C₂²	1	4	yes	complemented
125	C₁₃×#540	C₂²	1	4	yes	complemented
126	C₁₃×#540	C₂²	1	4	yes	complemented
127	C₁₃×#539	C₂²	1	4	yes	complemented
128	C₁₃×#539	C₂²	1	4	yes	complemented
129	C₁₃×#539	C₂²	1	8	yes	complemented
130	C₁₃×#539	C₂²	1	8	yes	complemented
131	C₁₃×#538	C₂²	1	8	yes	complemented
132	C₁₃×#538	C₂²	1	8	yes	complemented
133	C₁₃×#538	C₂²	1	8	yes	complemented
134	C₁₃×#538	C₂²	1	8	yes	complemented
135	C₁₃×#537	C₂²	1	1	yes	characteristic
136	C₁₃×#537	C₂²	1	8	yes	complemented
137	C₁₃×#537	C₂²	1	4	yes	complemented
138	C₁₃×#537	C₂²	1	4	yes	complemented
139	C₁₃×#537	C₂²	1	4	yes	complemented
140	C₁₃×#536	C₂²	1	4	yes	complemented
141	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#536	C₂²	1	2	yes	complemented
143	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#535	C₂²	1	8	yes	complemented
145	C₁₃×#535	C₂²	1	4	yes	complemented
146	C₁₃×#535	C₂²	1	4	yes	complemented
147	C₁₃×#535	C₂²	1	4	yes	complemented
148	C₁₃×#535	C₂²	1	4	yes	complemented
149	C₁₃×#535	C₂²	1	4	yes	complemented
150	C₁₃×#535	C₂²	1	2	yes	complemented
151	C₁₃×#535	C₂²	1	2	yes	complemented
152	C₁₃×#534	C₂²	1	8	yes	complemented
153	C₁₃×#534	C₂²	1	8	yes	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	1	yes	characteristic, complemented
158	C₁₃×#532	C₂²	1	1	yes	characteristic
159	C₁₃×#532	C₂²	1	2	yes	complemented
160	C₁₃×#532	C₂²	1	2	yes	complemented
161	C₁₃×#532	C₂²	1	4	yes	complemented
162	C₁₃×#532	C₂²	1	4	yes	complemented
163	C₁₃×#532	C₂²	1	2	yes	complemented
164	C₁₃×#532	C₂²	1	2	yes	complemented
165	C₁₃×#532	C₂²	1	4	yes	complemented
166	C₂×C₁₃×#127	C₂²	1	2	yes	complemented
167	C₂×C₁₃×#127	C₂²	1	2	yes	complemented
168	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, 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	2	yes	complemented
173	C₁₃×#529	C₂²	1	4	yes	complemented
174	C₁₃×#529	C₂²	1	4	yes	complemented
175	C₁₃×#529	C₂²	1	4	yes	complemented
176	C₁₃×#525	C₂²	1	4	yes	complemented
177	C₁₃×#525	C₂²	1	8	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	2	yes	complemented
182	C₁₃×#525	C₂²	1	2	yes	complemented
183	C₂×C₁₃×#123	C₂²	1	8	yes	complemented
184	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
185	C₂×C₁₃×#121	C₂²	1	4	yes	complemented
186	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
187	C₁₃×#520	C₂²	1	2	yes	complemented
188	C₁₃×#520	C₂²	1	4	yes	complemented
189	C₁₃×#518	C₂²	1	4	yes	complemented
190	C₁₃×#518	C₂²	1	2	yes	complemented
191	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
192	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
193	C₄×C₁₃×#41	C₂²	1	2	yes	complemented
194	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
195	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
196	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
198	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
199	C₁₃×H(5,𝔽₂)	—	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	2	yes	—
212	C₂×C₁₃×#41	C₂³	1	2	yes	—
213	C₂×C₁₃×#41	C₂³	1	4	yes	—
214	C₂×C₁₃×#41	C₂³	1	4	yes	—
215	C₂×C₁₃×#41	C₂³	1	4	yes	—
216	C₂×C₁₃×#41	C₂³	1	4	yes	—
217	C₂×C₁₃×#41	C₂³	1	8	yes	—
218	C₂×C₁₃×#41	C₂³	1	4	yes	—
219	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
221	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
222	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
223	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
224	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
225	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
226	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
227	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
228	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
229	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
230	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
231	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
232	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
233	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
234	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
235	C₂²×D₄×C₁₃	C₂³	1	4	yes	—
236	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
237	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
238	C₂³×C₄×C₁₃	C₂³	1	4	yes	—
239	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
241	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
242	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₁₃×C₄⋊Q₈	C₂³	1	4	yes	—
245	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
246	C₁₃×C₄⋊Q₈	C₂³	1	2	yes	—
247	C₁₃×C₄⋊Q₈	C₂³	1	2	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	4	yes	—
254	C₁₃×#127	C₂³	1	4	yes	—
255	C₁₃×#127	C₂³	1	4	yes	—
256	C₁₃×#127	C₂³	1	8	yes	—
257	C₁₃×#127	C₂³	1	2	yes	—
258	C₁₃×#127	C₂³	1	4	yes	—
259	C₁₃×#127	C₂³	1	2	yes	—
260	C₁₃×#127	C₂³	1	4	yes	—
261	C₁₃×#127	C₂³	1	8	yes	—
262	C₁₃×#126	C₂³	1	4	yes	—
263	C₁₃×#126	C₂³	1	4	yes	—
264	C₁₃×#126	C₂³	1	4	yes	—
265	C₁₃×#126	C₂³	1	8	yes	—
266	C₁₃×#126	C₂³	1	8	yes	—
267	C₁₃×#126	C₂³	1	4	yes	—
268	C₁₃×#126	C₂³	1	4	yes	—
269	C₁₃×#126	C₂³	1	4	yes	—
270	C₁₃×#126	C₂³	1	4	yes	—
271	C₁₃×#126	C₂³	1	8	yes	—
272	C₁₃×#126	C₂³	1	8	yes	—
273	C₁₃×#125	C₂³	1	2	yes	—
274	C₁₃×#125	C₂³	1	4	yes	—
275	C₁₃×#125	C₂³	1	4	yes	—
276	C₁₃×#125	C₂³	1	2	yes	—
277	C₁₃×#125	C₂³	1	4	yes	—
278	C₁₃×#125	C₂³	1	2	yes	—
279	C₁₃×#125	C₂³	1	4	yes	—
280	C₁₃×#125	C₂³	1	4	yes	—
281	C₁₃×#125	C₂³	1	2	yes	—
282	C₁₃×#125	C₂³	1	8	yes	—
283	C₁₃×#124	C₂³	1	2	yes	—
284	C₁₃×#124	C₂³	1	4	yes	—
285	C₁₃×#124	C₂³	1	4	yes	—
286	C₁₃×#124	C₂³	1	2	yes	—
287	C₁₃×#124	C₂³	1	4	yes	—
288	C₁₃×#124	C₂³	1	2	yes	—
289	C₁₃×#124	C₂³	1	4	yes	—
290	C₁₃×#124	C₂³	1	2	yes	—
291	C₁₃×#124	C₂³	1	4	yes	—
292	C₁₃×#124	C₂³	1	4	yes	—
293	C₁₃×#124	C₂³	1	4	yes	—
294	C₁₃×#124	C₂³	1	4	yes	—
295	C₁₃×#124	C₂³	1	8	yes	—
296	C₁₃×#124	C₂³	1	4	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	4	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	8	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	8	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	4	yes	—
317	C₁₃×#123	C₂³	1	8	yes	—
318	C₁₃×#123	C₂³	1	4	yes	—
319	C₁₃×#123	C₂³	1	8	yes	—
320	C₁₃×#123	C₂³	1	8	yes	—
321	C₁₃×#123	C₂³	1	8	yes	—
322	C₁₃×#123	C₂³	1	8	yes	—
323	C₁₃×#123	C₂³	1	8	yes	—
324	C₁₃×#123	C₂³	1	8	yes	—
325	C₁₃×#123	C₂³	1	8	yes	—
326	C₁₃×#123	C₂³	1	8	yes	—
327	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
328	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
329	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
330	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
331	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
332	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
333	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
334	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
335	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
336	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
337	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
338	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
339	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
340	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
341	C₁₃×C₂²⋊Q₈	C₂³	1	2	yes	—
342	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
343	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
344	C₁₃×C₂²⋊Q₈	C₂³	1	2	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	2	yes	—
349	C₁₃×C₂²⋊Q₈	C₂³	1	4	yes	—
350	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
351	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
352	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
353	C₁₃×#121	C₂³	1	2	yes	—
354	C₁₃×#121	C₂³	1	4	yes	—
355	C₁₃×#121	C₂³	1	2	yes	—
356	C₁₃×#121	C₂³	1	4	yes	—
357	C₁₃×#121	C₂³	1	4	yes	—
358	C₁₃×#121	C₂³	1	8	yes	—
359	C₁₃×#121	C₂³	1	4	yes	—
360	C₁₃×#121	C₂³	1	8	yes	—
361	C₁₃×#121	C₂³	1	8	yes	—
362	C₁₃×#121	C₂³	1	8	yes	—
363	C₁₃×#121	C₂³	1	8	yes	—
364	C₁₃×#121	C₂³	1	8	yes	—
365	C₁₃×#121	C₂³	1	4	yes	—
366	C₁₃×#121	C₂³	1	4	yes	—
367	C₁₃×#121	C₂³	1	2	yes	—
368	C₁₃×#121	C₂³	1	8	yes	—
369	C₁₃×#121	C₂³	1	2	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	2	yes	—
374	C₁₃×#121	C₂³	1	4	yes	—
375	C₁₃×#121	C₂³	1	4	yes	—
376	C₁₃×#121	C₂³	1	2	yes	—
377	C₁₃×#121	C₂³	1	4	yes	—
378	C₁₃×#121	C₂³	1	4	yes	—
379	C₁₃×#121	C₂³	1	2	yes	—
380	C₁₃×#121	C₂³	1	2	yes	—
381	C₁₃×#121	C₂³	1	2	yes	—
382	C₁₃×#121	C₂³	1	8	yes	—
383	C₁₃×#121	C₂³	1	8	yes	—
384	C₁₃×#121	C₂³	1	8	yes	—
385	C₁₃×#121	C₂³	1	8	yes	—
386	C₁₃×#121	C₂³	1	8	yes	—
387	C₁₃×#121	C₂³	1	4	yes	—
388	C₁₃×#121	C₂³	1	4	yes	—
389	C₁₃×#121	C₂³	1	4	yes	—
390	C₁₃×#121	C₂³	1	2	yes	—
391	C₁₃×#121	C₂³	1	4	yes	—
392	C₁₃×#121	C₂³	1	2	yes	—
393	C₁₃×#121	C₂³	1	4	yes	—
394	C₁₃×#121	C₂³	1	8	yes	—
395	C₁₃×#121	C₂³	1	8	yes	—
396	C₁₃×#121	C₂³	1	8	yes	—
397	C₁₃×#121	C₂³	1	8	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×#121	C₂³	1	8	yes	—
407	C₁₃×#120	C₂³	1	8	yes	—
408	C₁₃×#120	C₂³	1	4	yes	—
409	C₁₃×#120	C₂³	1	4	yes	—
410	C₁₃×#120	C₂³	1	4	yes	—
411	C₁₃×#120	C₂³	1	8	yes	—
412	C₁₃×#120	C₂³	1	8	yes	—
413	C₁₃×#120	C₂³	1	8	yes	—
414	C₁₃×#120	C₂³	1	4	yes	—
415	C₁₃×#120	C₂³	1	8	yes	—
416	C₁₃×#120	C₂³	1	8	yes	—
417	C₁₃×#120	C₂³	1	8	yes	—
418	C₁₃×#120	C₂³	1	8	yes	—
419	C₁₃×#120	C₂³	1	8	yes	—
420	C₁₃×#120	C₂³	1	8	yes	—
421	C₁₃×#120	C₂³	1	8	yes	—
422	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
423	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
424	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
425	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
426	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
427	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
428	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
429	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
430	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
431	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
432	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
433	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
434	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
435	C₄×Q₈×C₁₃	C₂³	1	4	yes	—
436	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
437	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
438	C₄×D₄×C₁₃	C₂³	1	2	yes	—
439	C₄×D₄×C₁₃	C₂³	1	4	yes	—
440	C₄×D₄×C₁₃	C₂³	1	4	yes	—
441	C₄×D₄×C₁₃	C₂³	1	2	yes	—
442	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
443	C₄×D₄×C₁₃	C₂³	1	2	yes	—
444	C₄×D₄×C₁₃	C₂³	1	2	yes	—
445	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
446	C₄×D₄×C₁₃	C₂³	1	4	yes	—
447	C₄×D₄×C₁₃	C₂³	1	8	yes	—
448	C₄×D₄×C₁₃	C₂³	1	2	yes	—
449	C₄×D₄×C₁₃	C₂³	1	4	yes	—
450	C₄×D₄×C₁₃	C₂³	1	4	yes	—
451	C₄×D₄×C₁₃	C₂³	1	2	yes	—
452	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
453	C₄×D₄×C₁₃	C₂³	1	2	yes	—
454	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
455	C₄×D₄×C₁₃	C₂³	1	2	yes	—
456	C₄×D₄×C₁₃	C₂³	1	2	yes	—
457	C₄×D₄×C₁₃	C₂³	1	4	yes	—
458	C₄×D₄×C₁₃	C₂³	1	2	yes	—
459	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
460	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
461	C₄×D₄×C₁₃	C₂³	1	8	yes	—
462	C₄×D₄×C₁₃	C₂³	1	4	yes	—
463	C₄×D₄×C₁₃	C₂³	1	4	yes	—
464	C₄×D₄×C₁₃	C₂³	1	4	yes	—
465	C₄×D₄×C₁₃	C₂³	1	4	yes	—
466	C₄×D₄×C₁₃	C₂³	1	4	yes	—
467	C₄×D₄×C₁₃	C₂³	1	8	yes	—
468	C₄×D₄×C₁₃	C₂³	1	4	yes	—
469	C₄×D₄×C₁₃	C₂³	1	8	yes	—
470	C₄×D₄×C₁₃	C₂³	1	8	yes	—
471	C₄×D₄×C₁₃	C₂³	1	8	yes	—
472	C₄×D₄×C₁₃	C₂³	1	4	yes	—
473	C₄×D₄×C₁₃	C₂³	1	4	yes	—
474	C₄×D₄×C₁₃	C₂³	1	2	yes	—
475	C₄×D₄×C₁₃	C₂³	1	4	yes	—
476	C₄×D₄×C₁₃	C₂³	1	8	yes	—
477	C₄×D₄×C₁₃	C₂³	1	8	yes	—
478	C₄×D₄×C₁₃	C₂³	1	4	yes	—
479	C₄×D₄×C₁₃	C₂³	1	8	yes	—
480	C₄×D₄×C₁₃	C₂³	1	4	yes	—
481	C₄×D₄×C₁₃	C₂³	1	8	yes	—
482	C₄×D₄×C₁₃	C₂³	1	4	yes	—
483	C₄×D₄×C₁₃	C₂³	1	4	yes	—
484	C₁₃×#117	C₂³	1	1	yes	characteristic
485	C₁₃×#117	C₂³	1	2	yes	—
486	C₁₃×#117	C₂³	1	4	yes	—
487	C₁₃×#117	C₂³	1	2	yes	—
488	C₁₃×#117	C₂³	1	2	yes	—
489	C₁₃×#117	C₂³	1	4	yes	—
490	C₁₃×#117	C₂³	1	1	yes	characteristic
491	C₁₃×#117	C₂³	1	2	yes	—
492	C₁₃×#117	C₂³	1	2	yes	—
493	C₁₃×#117	C₂³	1	2	yes	—
494	C₁₃×#117	C₂³	1	4	yes	—
495	C₁₃×#117	C₂³	1	4	yes	—
496	C₁₃×#117	C₂³	1	4	yes	—
497	C₁₃×#117	C₂³	1	4	yes	—
498	C₁₃×#117	C₂³	1	8	yes	—
499	C₁₃×#117	C₂³	1	8	yes	—
500	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
501	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
502	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
503	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
504	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
505	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	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	8	yes	—
509	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
510	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
511	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
512	C₂×C₁₃×C₂²⋊C₄	C₂³	1	4	yes	—
513	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
514	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
515	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
516	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
517	C₂×C₄²×C₁₃	C₂³	1	4	yes	—
518	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
519	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
520	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
521	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
522	#62955	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
523	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
524	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
525	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
526	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
527	C₁₃×#41	—	2	4	no	—
528	C₁₃×#41	—	2	8	no	—
529	C₁₃×#41	—	2	4	no	—
530	C₁₃×#41	—	4	8	no	—
531	C₁₃×#41	—	4	8	no	—
532	C₁₃×#41	—	4	8	no	—
533	C₁₃×#41	—	4	8	no	—
534	C₁₃×#41	—	4	8	no	—
535	C₁₃×#41	—	4	8	no	—
536	C₁₃×#41	—	4	4	no	—
537	C₁₃×#41	—	4	4	no	—
538	C₁₃×#41	—	4	4	no	—
539	C₁₃×#41	—	4	8	no	—
540	C₁₃×#41	—	4	8	no	—
541	C₁₃×#41	—	4	8	no	—
542	C₁₃×#41	—	8	8	no	—
543	C₁₃×#41	—	8	4	no	—
544	C₂×Q₈×C₁₃	—	2	4	no	—
545	C₂×Q₈×C₁₃	—	4	4	no	—
546	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
547	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
548	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
549	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
551	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
552	C₂×Q₈×C₁₃	C₂⁴	1	2	yes	—
553	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
554	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
555	C₂×D₄×C₁₃	—	2	8	no	—
556	C₂×D₄×C₁₃	—	4	2	no	—
557	C₂×D₄×C₁₃	—	4	4	no	—
558	C₂×D₄×C₁₃	—	4	8	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	—	4	8	no	—
564	C₂×D₄×C₁₃	—	4	8	no	—
565	C₂×D₄×C₁₃	—	4	16	no	—
566	C₂×D₄×C₁₃	—	8	2	no	—
567	C₂×D₄×C₁₃	—	8	4	no	—
568	C₂×D₄×C₁₃	—	8	4	no	—
569	C₂×D₄×C₁₃	—	8	8	no	—
570	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
571	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
572	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
573	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
574	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
575	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
576	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
577	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
579	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
580	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
581	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
583	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
584	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
585	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
586	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
587	C₂×D₄×C₁₃	C₂⁴	1	4	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	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
594	C₂×D₄×C₁₃	C₂⁴	1	2	yes	—
595	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
596	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
597	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
598	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
599	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
600	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
601	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
602	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
603	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
604	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
605	C₂²×C₄×C₁₃	—	2	8	no	—
606	C₂²×C₄×C₁₃	—	4	8	no	—
607	C₂²×C₄×C₁₃	—	4	8	no	—
608	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
609	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
610	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
611	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
612	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
613	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
614	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
615	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
616	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
617	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
618	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
619	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
620	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
621	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
622	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
623	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
624	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
625	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
626	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
627	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
628	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
629	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
630	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
631	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
632	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
633	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
634	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
635	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
636	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
637	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
638	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
639	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
640	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
641	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
642	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
643	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
644	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
645	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
646	C₁₃×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	4	yes	—
650	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
651	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
652	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
653	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
654	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
655	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
656	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
657	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
658	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
659	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
660	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
661	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
662	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
663	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
664	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
665	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
666	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
667	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
668	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
669	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
670	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
671	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
672	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
673	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
674	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
675	C₁₃×C₄⋊C₄	C₂⁴	1	2	yes	—
676	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
677	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
678	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
679	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
680	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
681	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
682	C₁₃×C₂²⋊C₄	C₂⁴	1	8	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	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	4	yes	—
694	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
695	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
696	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
697	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
698	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
699	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
700	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
701	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
702	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
703	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
704	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
705	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
706	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
707	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
708	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
709	C₁₃×C₂²⋊C₄	C₂⁴	1	2	yes	—
710	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
711	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
712	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
713	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
714	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
715	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
716	C₄²×C₁₃	C₂⁴	1	2	yes	—
717	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
718	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
719	C₄²×C₁₃	C₂⁴	1	4	yes	—
720	C₄²×C₁₃	C₂⁴	1	4	yes	—
721	C₄²×C₁₃	C₂⁴	1	2	yes	—
722	C₄²×C₁₃	C₂⁴	1	4	yes	—
723	C₄²×C₁₃	C₂⁴	1	2	yes	—
724	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
725	C₄²×C₁₃	C₂⁴	1	2	yes	—
726	C₄²×C₁₃	C₂⁴	1	4	yes	—
727	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
728	C₄²×C₁₃	C₂⁴	1	2	yes	—
729	C₄²×C₁₃	C₂⁴	1	4	yes	—
730	C₄²×C₁₃	C₂⁴	1	2	yes	—
731	C₄²×C₁₃	C₂⁴	1	8	yes	—
732	#3562	C₂×C₁₃	1	4	yes	complemented
733	#3554	C₂×C₁₃	1	2	yes	complemented
734	#3548	C₂×C₁₃	1	2	yes	complemented
735	#3546	C₂×C₁₃	1	2	yes	complemented
736	#3546	C₂×C₁₃	1	4	yes	complemented
737	#3543	C₂×C₁₃	1	4	yes	complemented
738	#3543	C₂×C₁₃	1	2	yes	complemented
739	#3542	C₂×C₁₃	1	4	yes	complemented
740	#3539	C₂×C₁₃	1	4	yes	complemented
741	#3534	C₂×C₁₃	1	8	yes	complemented
742	#3519	C₂×C₁₃	1	2	yes	complemented
743	#3517	C₂×C₁₃	1	2	yes	complemented
744	#3513	C₂×C₁₃	1	4	yes	complemented
745	#3508	C₂×C₁₃	1	1	yes	characteristic, complemented
746	#3508	C₂×C₁₃	1	2	yes	complemented
747	#3507	C₂×C₁₃	1	1	yes	characteristic, complemented
748	#3506	C₂×C₁₃	1	2	yes	complemented
749	#3498	C₂×C₁₃	1	1	yes	characteristic, complemented
750	#3494	C₂×C₁₃	1	2	yes	complemented
751	#3488	C₂×C₁₃	1	2	yes	complemented
752	#3485	C₂×C₁₃	1	2	yes	complemented
753	#3475	C₂×C₁₃	1	1	yes	characteristic, complemented
754	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
755	C₂×#550	C₂×C₁₃	1	1	yes	characteristic, complemented
756	#3461	C₂×C₁₃	1	1	yes	characteristic, complemented
757	#3449	C₂×C₁₃	1	2	yes	complemented
758	C₂³×C₁₃	—	2	4	no	—
759	C₂³×C₁₃	—	2	8	no	—
760	C₂³×C₁₃	—	4	4	no	—
761	C₂³×C₁₃	—	4	2	no	—
762	C₂³×C₁₃	—	4	4	no	—
763	C₂³×C₁₃	—	4	4	no	—
764	C₂³×C₁₃	—	4	2	no	—
765	C₂³×C₁₃	—	4	4	no	—
766	C₂³×C₁₃	—	4	4	no	—
767	C₂³×C₁₃	—	4	8	no	—
768	C₂³×C₁₃	—	4	8	no	—
769	C₂³×C₁₃	—	4	8	no	—
770	C₂³×C₁₃	C₂⁵	1	2	yes	—
771	C₂³×C₁₃	C₂⁵	1	2	yes	—
772	C₂³×C₁₃	C₂⁵	1	4	yes	—
773	C₂³×C₁₃	C₂⁵	1	2	yes	—
774	C₂³×C₁₃	C₂⁵	1	8	yes	—
775	C₂³×C₁₃	C₂⁵	1	2	yes	—
776	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
777	Q₈×C₁₃	—	2	4	no	—
778	Q₈×C₁₃	—	2	4	no	—
779	Q₈×C₁₃	—	2	2	no	—
780	Q₈×C₁₃	—	2	4	no	—
781	Q₈×C₁₃	—	2	2	no	—
782	Q₈×C₁₃	—	2	4	no	—
783	Q₈×C₁₃	—	4	4	no	—
784	Q₈×C₁₃	—	4	2	no	—
785	Q₈×C₁₃	—	4	4	no	—
786	D₄×C₁₃	—	2	4	no	—
787	D₄×C₁₃	—	2	8	no	—
788	D₄×C₁₃	—	2	4	no	—
789	D₄×C₁₃	—	2	8	no	—
790	D₄×C₁₃	—	2	8	no	—
791	D₄×C₁₃	—	2	2	no	—
792	D₄×C₁₃	—	2	4	no	—
793	D₄×C₁₃	—	2	2	no	—
794	D₄×C₁₃	—	2	2	no	—
795	D₄×C₁₃	—	2	4	no	—
796	D₄×C₁₃	—	2	8	no	—
797	D₄×C₁₃	—	2	2	no	—
798	D₄×C₁₃	—	4	8	no	—
799	D₄×C₁₃	—	4	8	no	—
800	D₄×C₁₃	—	4	4	no	—
801	D₄×C₁₃	—	4	8	no	—
802	D₄×C₁₃	—	4	2	no	—
803	D₄×C₁₃	—	4	4	no	—
804	D₄×C₁₃	—	4	4	no	—
805	D₄×C₁₃	—	4	4	no	—
806	D₄×C₁₃	—	4	4	no	—
807	D₄×C₁₃	—	4	8	no	—
808	D₄×C₁₃	—	4	8	no	—
809	D₄×C₁₃	—	4	4	no	—
810	D₄×C₁₃	—	4	2	no	—
811	D₄×C₁₃	—	4	4	no	—
812	D₄×C₁₃	—	4	4	no	—
813	D₄×C₁₃	—	4	8	no	—
814	D₄×C₁₃	—	4	8	no	—
815	D₄×C₁₃	—	4	8	no	—
816	D₄×C₁₃	—	4	8	no	—
817	D₄×C₁₃	—	4	4	no	—
818	D₄×C₁₃	—	4	8	no	—
819	D₄×C₁₃	—	4	4	no	—
820	D₄×C₁₃	—	4	4	no	—
821	C₂×C₄×C₁₃	—	2	4	no	—
822	C₂×C₄×C₁₃	—	2	4	no	—
823	C₂×C₄×C₁₃	—	2	4	no	—
824	C₂×C₄×C₁₃	—	2	4	no	—
825	C₂×C₄×C₁₃	—	2	4	no	—
826	C₂×C₄×C₁₃	—	2	4	no	—
827	C₂×C₄×C₁₃	—	2	4	no	—
828	C₂×C₄×C₁₃	—	2	8	no	—
829	C₂×C₄×C₁₃	—	2	4	no	—
830	C₂×C₄×C₁₃	—	2	2	no	—
831	C₂×C₄×C₁₃	—	2	4	no	—
832	C₂×C₄×C₁₃	—	2	4	no	—
833	C₂×C₄×C₁₃	—	4	4	no	—
834	C₂×C₄×C₁₃	—	4	4	no	—
835	C₂×C₄×C₁₃	—	4	4	no	—
836	C₂×C₄×C₁₃	—	4	8	no	—
837	C₂×C₄×C₁₃	—	4	8	no	—
838	C₂×C₄×C₁₃	—	4	8	no	—
839	C₂×C₄×C₁₃	—	4	1	no	—
840	C₂×C₄×C₁₃	—	4	2	no	—
841	C₂×C₄×C₁₃	—	4	2	no	—
842	C₂×C₄×C₁₃	—	4	8	no	—
843	C₂×C₄×C₁₃	—	4	8	no	—
844	C₂×C₄×C₁₃	—	4	4	no	—
845	C₂×C₄×C₁₃	—	4	8	no	—
846	C₂×C₄×C₁₃	—	4	4	no	—
847	C₂×C₄×C₁₃	—	4	2	no	—
848	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
849	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
850	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
851	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
852	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
853	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
854	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
855	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
856	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
857	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
858	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
859	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
860	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
861	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
862	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
863	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
864	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
865	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
866	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
867	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
868	C₂×H(5,𝔽₂)	C₂²×C₁₃	1	2	yes	complemented
869	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
870	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
871	#562	C₂²×C₁₃	1	8	yes	complemented
872	#562	C₂²×C₁₃	1	8	yes	complemented
873	#560	C₂²×C₁₃	1	8	yes	complemented
874	#560	C₂²×C₁₃	1	8	yes	complemented
875	#560	C₂²×C₁₃	1	8	yes	complemented
876	#560	C₂²×C₁₃	1	8	yes	complemented
877	#559	C₂²×C₁₃	1	4	yes	complemented
878	#559	C₂²×C₁₃	1	4	yes	complemented
879	#559	C₂²×C₁₃	1	2	yes	complemented
880	#559	C₂²×C₁₃	1	2	yes	complemented
881	#559	C₂²×C₁₃	1	2	yes	complemented
882	#557	C₂²×C₁₃	1	2	yes	complemented
883	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
884	#556	C₂²×C₁₃	1	2	yes	complemented
885	#556	C₂²×C₁₃	1	4	yes	complemented
886	#555	C₂²×C₁₃	1	1	yes	characteristic, complemented
887	#555	C₂²×C₁₃	1	4	yes	complemented
888	#554	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	#554	C₂²×C₁₃	1	2	yes	complemented
890	#554	C₂²×C₁₃	1	4	yes	complemented
891	#553	C₂²×C₁₃	1	2	yes	complemented
892	#553	C₂²×C₁₃	1	4	yes	complemented
893	#553	C₂²×C₁₃	1	4	yes	complemented
894	#553	C₂²×C₁₃	1	8	yes	complemented
895	#553	C₂²×C₁₃	1	4	yes	complemented
896	#553	C₂²×C₁₃	1	8	yes	complemented
897	#553	C₂²×C₁₃	1	8	yes	complemented
898	#552	C₂²×C₁₃	1	2	yes	complemented
899	#552	C₂²×C₁₃	1	2	yes	complemented
900	#552	C₂²×C₁₃	1	4	yes	complemented
901	#551	C₂²×C₁₃	1	4	yes	complemented
902	#551	C₂²×C₁₃	1	8	yes	complemented
903	#551	C₂²×C₁₃	1	8	yes	complemented
904	#550	C₂²×C₁₃	1	2	yes	complemented
905	#550	C₂²×C₁₃	1	2	yes	complemented
906	#550	C₂²×C₁₃	1	4	yes	complemented
907	#550	C₂²×C₁₃	1	2	yes	complemented
908	#550	C₂²×C₁₃	1	2	yes	complemented
909	#550	C₂²×C₁₃	1	4	yes	complemented
910	#550	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	#550	C₂²×C₁₃	1	4	yes	complemented
912	#550	C₂²×C₁₃	1	2	yes	complemented
913	#550	C₂²×C₁₃	1	2	yes	complemented
914	#550	C₂²×C₁₃	1	2	yes	complemented
915	#550	C₂²×C₁₃	1	4	yes	complemented
916	#550	C₂²×C₁₃	1	2	yes	complemented
917	#550	C₂²×C₁₃	1	4	yes	complemented
918	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
919	#548	C₂²×C₁₃	1	2	yes	complemented
920	#548	C₂²×C₁₃	1	4	yes	complemented
921	#547	C₂²×C₁₃	1	2	yes	complemented
922	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
923	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
924	#547	C₂²×C₁₃	1	4	yes	complemented
925	#547	C₂²×C₁₃	1	4	yes	complemented
926	#547	C₂²×C₁₃	1	4	yes	complemented
927	#547	C₂²×C₁₃	1	4	yes	complemented
928	#547	C₂²×C₁₃	1	4	yes	complemented
929	#546	C₂²×C₁₃	1	4	yes	complemented
930	#546	C₂²×C₁₃	1	2	yes	complemented
931	#546	C₂²×C₁₃	1	2	yes	complemented
932	#546	C₂²×C₁₃	1	4	yes	complemented
933	#546	C₂²×C₁₃	1	4	yes	complemented
934	#546	C₂²×C₁₃	1	4	yes	complemented
935	#546	C₂²×C₁₃	1	4	yes	complemented
936	#546	C₂²×C₁₃	1	4	yes	complemented
937	#546	C₂²×C₁₃	1	8	yes	complemented
938	#546	C₂²×C₁₃	1	8	yes	complemented
939	#546	C₂²×C₁₃	1	4	yes	complemented
940	#546	C₂²×C₁₃	1	4	yes	complemented
941	#546	C₂²×C₁₃	1	8	yes	complemented
942	#546	C₂²×C₁₃	1	4	yes	complemented
943	#546	C₂²×C₁₃	1	8	yes	complemented
944	D₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
945	D₄²	C₂²×C₁₃	1	2	yes	complemented
946	D₄²	C₂²×C₁₃	1	8	yes	complemented
947	D₄²	C₂²×C₁₃	1	4	yes	complemented
948	D₄²	C₂²×C₁₃	1	4	yes	complemented
949	D₄²	C₂²×C₁₃	1	2	yes	complemented
950	D₄²	C₂²×C₁₃	1	4	yes	complemented
951	D₄²	C₂²×C₁₃	1	2	yes	complemented
952	D₄²	C₂²×C₁₃	1	4	yes	complemented
953	#544	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	#542	C₂²×C₁₃	1	2	yes	complemented
955	#542	C₂²×C₁₃	1	2	yes	complemented
956	#542	C₂²×C₁₃	1	4	yes	complemented
957	#542	C₂²×C₁₃	1	4	yes	complemented
958	#541	C₂²×C₁₃	1	2	yes	complemented
959	#541	C₂²×C₁₃	1	2	yes	complemented
960	#540	C₂²×C₁₃	1	4	yes	complemented
961	#540	C₂²×C₁₃	1	8	yes	complemented
962	#540	C₂²×C₁₃	1	4	yes	complemented
963	#540	C₂²×C₁₃	1	4	yes	complemented
964	#540	C₂²×C₁₃	1	8	yes	complemented
965	#540	C₂²×C₁₃	1	4	yes	complemented
966	#540	C₂²×C₁₃	1	4	yes	complemented
967	#540	C₂²×C₁₃	1	8	yes	complemented
968	#539	C₂²×C₁₃	1	4	yes	complemented
969	#539	C₂²×C₁₃	1	4	yes	complemented
970	#539	C₂²×C₁₃	1	8	yes	complemented
971	#539	C₂²×C₁₃	1	8	yes	complemented
972	#538	C₂²×C₁₃	1	8	yes	complemented
973	#538	C₂²×C₁₃	1	8	yes	complemented
974	#538	C₂²×C₁₃	1	8	yes	complemented
975	#538	C₂²×C₁₃	1	8	yes	complemented
976	#537	C₂²×C₁₃	1	1	yes	characteristic
977	#537	C₂²×C₁₃	1	4	yes	complemented
978	#537	C₂²×C₁₃	1	4	yes	complemented
979	#537	C₂²×C₁₃	1	4	yes	complemented
980	#537	C₂²×C₁₃	1	8	yes	complemented
981	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	#536	C₂²×C₁₃	1	2	yes	complemented
983	#536	C₂²×C₁₃	1	4	yes	complemented
984	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
985	#535	C₂²×C₁₃	1	2	yes	complemented
986	#535	C₂²×C₁₃	1	2	yes	complemented
987	#535	C₂²×C₁₃	1	4	yes	complemented
988	#535	C₂²×C₁₃	1	4	yes	complemented
989	#535	C₂²×C₁₃	1	4	yes	complemented
990	#535	C₂²×C₁₃	1	4	yes	complemented
991	#535	C₂²×C₁₃	1	4	yes	complemented
992	#535	C₂²×C₁₃	1	8	yes	complemented
993	#534	C₂²×C₁₃	1	8	yes	complemented
994	#534	C₂²×C₁₃	1	8	yes	complemented
995	#534	C₂²×C₁₃	1	8	yes	complemented
996	#533	C₂²×C₁₃	1	2	yes	complemented
997	#533	C₂²×C₁₃	1	2	yes	complemented
998	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
999	#532	C₂²×C₁₃	1	1	yes	characteristic
1000	#532	C₂²×C₁₃	1	4	yes	complemented
1001	#532	C₂²×C₁₃	1	4	yes	complemented
1002	#532	C₂²×C₁₃	1	2	yes	complemented
1003	#532	C₂²×C₁₃	1	4	yes	complemented
1004	#532	C₂²×C₁₃	1	2	yes	complemented
1005	#532	C₂²×C₁₃	1	2	yes	complemented
1006	#532	C₂²×C₁₃	1	2	yes	complemented
1007	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
1008	C₂×#127	C₂²×C₁₃	1	2	yes	complemented
1009	C₂×#127	C₂²×C₁₃	1	2	yes	complemented
1010	#529	C₂²×C₁₃	1	4	yes	complemented
1011	#529	C₂²×C₁₃	1	2	yes	complemented
1012	#529	C₂²×C₁₃	1	2	yes	complemented
1013	#529	C₂²×C₁₃	1	2	yes	complemented
1014	#529	C₂²×C₁₃	1	4	yes	complemented
1015	#529	C₂²×C₁₃	1	4	yes	complemented
1016	#529	C₂²×C₁₃	1	4	yes	complemented
1017	#525	C₂²×C₁₃	1	4	yes	complemented
1018	#525	C₂²×C₁₃	1	8	yes	complemented
1019	#525	C₂²×C₁₃	1	4	yes	complemented
1020	#525	C₂²×C₁₃	1	2	yes	complemented
1021	#525	C₂²×C₁₃	1	4	yes	complemented
1022	#525	C₂²×C₁₃	1	2	yes	complemented
1023	#525	C₂²×C₁₃	1	4	yes	complemented
1024	C₂×#123	C₂²×C₁₃	1	8	yes	complemented
1025	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
1026	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
1027	C₂×#121	C₂²×C₁₃	1	4	yes	complemented
1028	#520	C₂²×C₁₃	1	2	yes	complemented
1029	#520	C₂²×C₁₃	1	4	yes	complemented
1030	#518	C₂²×C₁₃	1	2	yes	complemented
1031	#518	C₂²×C₁₃	1	4	yes	complemented
1032	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
1033	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
1034	C₄×#41	C₂²×C₁₃	1	2	yes	complemented
1035	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1036	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
1037	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
1038	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
1039	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
1040	C₂²×C₁₃	—	2	1	no	—
1041	C₂²×C₁₃	—	2	1	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	2	no	—
1047	C₂²×C₁₃	—	2	8	no	—
1048	C₂²×C₁₃	—	2	2	no	—
1049	C₂²×C₁₃	—	2	2	no	—
1050	C₂²×C₁₃	—	2	2	no	—
1051	C₂²×C₁₃	—	2	8	no	—
1052	C₂²×C₁₃	—	2	2	no	—
1053	C₂²×C₁₃	—	2	4	no	—
1054	C₂²×C₁₃	—	2	2	no	—
1055	C₂²×C₁₃	—	2	4	no	—
1056	C₂²×C₁₃	—	2	2	no	—
1057	C₂²×C₁₃	—	2	8	no	—
1058	C₂²×C₁₃	—	2	2	no	—
1059	C₂²×C₁₃	—	2	2	no	—
1060	C₂²×C₁₃	—	8	4	no	—
1061	C₂²×C₁₃	—	8	8	no	—
1062	C₂²×C₁₃	—	8	8	no	—
1063	C₂²×C₁₃	—	16	8	no	—
1064	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1065	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1066	C₄×C₁₃	—	2	2	no	—
1067	C₄×C₁₃	—	2	2	no	—
1068	C₄×C₁₃	—	2	2	no	—
1069	C₄×C₁₃	—	2	4	no	—
1070	C₄×C₁₃	—	2	2	no	—
1071	C₄×C₁₃	—	2	4	no	—
1072	C₄×C₁₃	—	2	2	no	—
1073	C₄×C₁₃	—	2	2	no	—
1074	C₄×C₁₃	—	2	1	no	—
1075	C₄×C₁₃	—	2	4	no	—
1076	C₄×C₁₃	—	2	4	no	—
1077	C₄×C₁₃	—	2	2	no	—
1078	C₄×C₁₃	—	2	1	no	—
1079	C₄×C₁₃	—	2	4	no	—
1080	C₄×C₁₃	—	2	1	no	—
1081	C₄×C₁₃	—	2	2	no	—
1082	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1083	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
1084	C₄×C₁₃	#585	1	2	yes	—
1085	H(5,𝔽₂)	—	4	8	no	—
1086	C₂×#41	—	4	8	no	—
1087	C₂×#41	—	4	8	no	—
1088	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1089	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1090	C₂×#41	C₂³×C₁₃	1	2	yes	—
1091	C₂×#41	C₂³×C₁₃	1	2	yes	—
1092	C₂×#41	C₂³×C₁₃	1	4	yes	—
1093	C₂×#41	C₂³×C₁₃	1	4	yes	—
1094	C₂×#41	C₂³×C₁₃	1	4	yes	—
1095	C₂×#41	C₂³×C₁₃	1	4	yes	—
1096	C₂×#41	C₂³×C₁₃	1	4	yes	—
1097	C₂×#41	C₂³×C₁₃	1	2	yes	—
1098	C₂×#41	C₂³×C₁₃	1	4	yes	—
1099	C₂×#41	C₂³×C₁₃	1	2	yes	—
1100	C₂×#41	C₂³×C₁₃	1	4	yes	—
1101	C₂×#41	C₂³×C₁₃	1	4	yes	—
1102	C₂×#41	C₂³×C₁₃	1	4	yes	—
1103	C₂×#41	C₂³×C₁₃	1	8	yes	—
1104	C₂×#41	C₂³×C₁₃	1	4	yes	—
1105	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1106	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
1107	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1108	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1109	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1110	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1111	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1112	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1113	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1114	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
1115	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1116	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1117	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1118	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
1119	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1120	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
1121	C₂²×D₄	C₂³×C₁₃	1	4	yes	—
1122	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
1123	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
1124	C₂³×C₄	C₂³×C₁₃	1	4	yes	—
1125	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1126	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1127	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1128	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1129	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1130	C₄⋊Q₈	C₂³×C₁₃	1	4	yes	—
1131	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1132	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1133	C₄⋊Q₈	C₂³×C₁₃	1	2	yes	—
1134	#127	C₂³×C₁₃	1	1	yes	characteristic
1135	#127	C₂³×C₁₃	1	2	yes	—
1136	#127	C₂³×C₁₃	1	4	yes	—
1137	#127	C₂³×C₁₃	1	2	yes	—
1138	#127	C₂³×C₁₃	1	2	yes	—
1139	#127	C₂³×C₁₃	1	4	yes	—
1140	#127	C₂³×C₁₃	1	4	yes	—
1141	#127	C₂³×C₁₃	1	4	yes	—
1142	#127	C₂³×C₁₃	1	8	yes	—
1143	#127	C₂³×C₁₃	1	2	yes	—
1144	#127	C₂³×C₁₃	1	4	yes	—
1145	#127	C₂³×C₁₃	1	2	yes	—
1146	#127	C₂³×C₁₃	1	4	yes	—
1147	#127	C₂³×C₁₃	1	8	yes	—
1148	#126	C₂³×C₁₃	1	4	yes	—
1149	#126	C₂³×C₁₃	1	4	yes	—
1150	#126	C₂³×C₁₃	1	4	yes	—
1151	#126	C₂³×C₁₃	1	8	yes	—
1152	#126	C₂³×C₁₃	1	8	yes	—
1153	#126	C₂³×C₁₃	1	4	yes	—
1154	#126	C₂³×C₁₃	1	4	yes	—
1155	#126	C₂³×C₁₃	1	4	yes	—
1156	#126	C₂³×C₁₃	1	4	yes	—
1157	#126	C₂³×C₁₃	1	8	yes	—
1158	#126	C₂³×C₁₃	1	8	yes	—
1159	#125	C₂³×C₁₃	1	2	yes	—
1160	#125	C₂³×C₁₃	1	4	yes	—
1161	#125	C₂³×C₁₃	1	4	yes	—
1162	#125	C₂³×C₁₃	1	2	yes	—
1163	#125	C₂³×C₁₃	1	4	yes	—
1164	#125	C₂³×C₁₃	1	2	yes	—
1165	#125	C₂³×C₁₃	1	4	yes	—
1166	#125	C₂³×C₁₃	1	4	yes	—
1167	#125	C₂³×C₁₃	1	2	yes	—
1168	#125	C₂³×C₁₃	1	8	yes	—
1169	#124	C₂³×C₁₃	1	2	yes	—
1170	#124	C₂³×C₁₃	1	4	yes	—
1171	#124	C₂³×C₁₃	1	4	yes	—
1172	#124	C₂³×C₁₃	1	2	yes	—
1173	#124	C₂³×C₁₃	1	4	yes	—
1174	#124	C₂³×C₁₃	1	2	yes	—
1175	#124	C₂³×C₁₃	1	4	yes	—
1176	#124	C₂³×C₁₃	1	2	yes	—
1177	#124	C₂³×C₁₃	1	4	yes	—
1178	#124	C₂³×C₁₃	1	4	yes	—
1179	#124	C₂³×C₁₃	1	4	yes	—
1180	#124	C₂³×C₁₃	1	4	yes	—
1181	#124	C₂³×C₁₃	1	8	yes	—
1182	#124	C₂³×C₁₃	1	4	yes	—
1183	#124	C₂³×C₁₃	1	8	yes	—
1184	#124	C₂³×C₁₃	1	8	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	8	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	4	yes	—
1194	#123	C₂³×C₁₃	1	8	yes	—
1195	#123	C₂³×C₁₃	1	8	yes	—
1196	#123	C₂³×C₁₃	1	4	yes	—
1197	#123	C₂³×C₁₃	1	8	yes	—
1198	#123	C₂³×C₁₃	1	4	yes	—
1199	#123	C₂³×C₁₃	1	4	yes	—
1200	#123	C₂³×C₁₃	1	4	yes	—
1201	#123	C₂³×C₁₃	1	4	yes	—
1202	#123	C₂³×C₁₃	1	4	yes	—
1203	#123	C₂³×C₁₃	1	8	yes	—
1204	#123	C₂³×C₁₃	1	4	yes	—
1205	#123	C₂³×C₁₃	1	8	yes	—
1206	#123	C₂³×C₁₃	1	8	yes	—
1207	#123	C₂³×C₁₃	1	8	yes	—
1208	#123	C₂³×C₁₃	1	8	yes	—
1209	#123	C₂³×C₁₃	1	8	yes	—
1210	#123	C₂³×C₁₃	1	8	yes	—
1211	#123	C₂³×C₁₃	1	8	yes	—
1212	#123	C₂³×C₁₃	1	8	yes	—
1213	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1214	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1215	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1216	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1217	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1218	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1219	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1220	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1221	C₂²⋊Q₈	C₂³×C₁₃	1	8	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	2	yes	—
1226	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1227	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1228	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1229	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1230	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1231	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1232	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1233	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1234	C₂²⋊Q₈	C₂³×C₁₃	1	2	yes	—
1235	C₂²⋊Q₈	C₂³×C₁₃	1	4	yes	—
1236	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1237	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1238	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
1239	#121	C₂³×C₁₃	1	2	yes	—
1240	#121	C₂³×C₁₃	1	4	yes	—
1241	#121	C₂³×C₁₃	1	2	yes	—
1242	#121	C₂³×C₁₃	1	4	yes	—
1243	#121	C₂³×C₁₃	1	4	yes	—
1244	#121	C₂³×C₁₃	1	8	yes	—
1245	#121	C₂³×C₁₃	1	4	yes	—
1246	#121	C₂³×C₁₃	1	8	yes	—
1247	#121	C₂³×C₁₃	1	8	yes	—
1248	#121	C₂³×C₁₃	1	8	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	2	yes	—
1254	#121	C₂³×C₁₃	1	8	yes	—
1255	#121	C₂³×C₁₃	1	2	yes	—
1256	#121	C₂³×C₁₃	1	4	yes	—
1257	#121	C₂³×C₁₃	1	4	yes	—
1258	#121	C₂³×C₁₃	1	8	yes	—
1259	#121	C₂³×C₁₃	1	2	yes	—
1260	#121	C₂³×C₁₃	1	4	yes	—
1261	#121	C₂³×C₁₃	1	4	yes	—
1262	#121	C₂³×C₁₃	1	2	yes	—
1263	#121	C₂³×C₁₃	1	4	yes	—
1264	#121	C₂³×C₁₃	1	4	yes	—
1265	#121	C₂³×C₁₃	1	2	yes	—
1266	#121	C₂³×C₁₃	1	2	yes	—
1267	#121	C₂³×C₁₃	1	2	yes	—
1268	#121	C₂³×C₁₃	1	8	yes	—
1269	#121	C₂³×C₁₃	1	8	yes	—
1270	#121	C₂³×C₁₃	1	8	yes	—
1271	#121	C₂³×C₁₃	1	8	yes	—
1272	#121	C₂³×C₁₃	1	8	yes	—
1273	#121	C₂³×C₁₃	1	4	yes	—
1274	#121	C₂³×C₁₃	1	4	yes	—
1275	#121	C₂³×C₁₃	1	4	yes	—
1276	#121	C₂³×C₁₃	1	2	yes	—
1277	#121	C₂³×C₁₃	1	4	yes	—
1278	#121	C₂³×C₁₃	1	2	yes	—
1279	#121	C₂³×C₁₃	1	4	yes	—
1280	#121	C₂³×C₁₃	1	8	yes	—
1281	#121	C₂³×C₁₃	1	8	yes	—
1282	#121	C₂³×C₁₃	1	8	yes	—
1283	#121	C₂³×C₁₃	1	8	yes	—
1284	#121	C₂³×C₁₃	1	8	yes	—
1285	#121	C₂³×C₁₃	1	8	yes	—
1286	#121	C₂³×C₁₃	1	8	yes	—
1287	#121	C₂³×C₁₃	1	8	yes	—
1288	#121	C₂³×C₁₃	1	8	yes	—
1289	#121	C₂³×C₁₃	1	8	yes	—
1290	#121	C₂³×C₁₃	1	8	yes	—
1291	#121	C₂³×C₁₃	1	8	yes	—
1292	#121	C₂³×C₁₃	1	8	yes	—
1293	#120	C₂³×C₁₃	1	8	yes	—
1294	#120	C₂³×C₁₃	1	4	yes	—
1295	#120	C₂³×C₁₃	1	4	yes	—
1296	#120	C₂³×C₁₃	1	4	yes	—
1297	#120	C₂³×C₁₃	1	8	yes	—
1298	#120	C₂³×C₁₃	1	8	yes	—
1299	#120	C₂³×C₁₃	1	8	yes	—
1300	#120	C₂³×C₁₃	1	4	yes	—
1301	#120	C₂³×C₁₃	1	8	yes	—
1302	#120	C₂³×C₁₃	1	8	yes	—
1303	#120	C₂³×C₁₃	1	8	yes	—
1304	#120	C₂³×C₁₃	1	8	yes	—
1305	#120	C₂³×C₁₃	1	8	yes	—
1306	#120	C₂³×C₁₃	1	8	yes	—
1307	#120	C₂³×C₁₃	1	8	yes	—
1308	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1309	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1310	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1311	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1312	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1313	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1314	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1315	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1316	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1317	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1318	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1319	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1320	C₄×Q₈	C₂³×C₁₃	1	2	yes	—
1321	C₄×Q₈	C₂³×C₁₃	1	4	yes	—
1322	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1323	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1324	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1325	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1326	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1327	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1328	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1329	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1330	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1331	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1332	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1333	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1334	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1335	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1336	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1337	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1338	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1339	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1340	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1341	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1342	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1343	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1344	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1345	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1346	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1347	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1348	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1349	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1350	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1351	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1352	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1353	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1354	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1355	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1356	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1357	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1358	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1359	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1360	C₄×D₄	C₂³×C₁₃	1	2	yes	—
1361	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1362	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1363	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1364	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1365	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1366	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1367	C₄×D₄	C₂³×C₁₃	1	8	yes	—
1368	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1369	C₄×D₄	C₂³×C₁₃	1	4	yes	—
1370	#117	C₂³×C₁₃	1	1	yes	characteristic
1371	#117	C₂³×C₁₃	1	2	yes	—
1372	#117	C₂³×C₁₃	1	4	yes	—
1373	#117	C₂³×C₁₃	1	2	yes	—
1374	#117	C₂³×C₁₃	1	2	yes	—
1375	#117	C₂³×C₁₃	1	4	yes	—
1376	#117	C₂³×C₁₃	1	1	yes	characteristic
1377	#117	C₂³×C₁₃	1	2	yes	—
1378	#117	C₂³×C₁₃	1	2	yes	—
1379	#117	C₂³×C₁₃	1	2	yes	—
1380	#117	C₂³×C₁₃	1	4	yes	—
1381	#117	C₂³×C₁₃	1	4	yes	—
1382	#117	C₂³×C₁₃	1	4	yes	—
1383	#117	C₂³×C₁₃	1	4	yes	—
1384	#117	C₂³×C₁₃	1	8	yes	—
1385	#117	C₂³×C₁₃	1	8	yes	—
1386	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1387	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1388	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1389	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1390	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1391	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1392	C₂×C₄⋊C₄	C₂³×C₁₃	1	4	yes	—
1393	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1394	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	—
1395	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1396	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1397	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1398	C₂×C₂²⋊C₄	C₂³×C₁₃	1	4	yes	—
1399	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1400	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1401	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1402	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
1403	C₂×C₄²	C₂³×C₁₃	1	4	yes	—
1404	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1405	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1406	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1407	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1408	C₂×C₁₃	—	2	2	no	—
1409	C₂×C₁₃	—	4	2	no	—
1410	C₂×C₁₃	—	4	2	no	—
1411	C₂×C₁₃	—	4	2	no	—
1412	C₂×C₁₃	—	4	8	no	—
1413	C₂×C₁₃	—	4	4	no	—
1414	C₂×C₁₃	—	4	2	no	—
1415	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1416	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1417	C₂×C₁₃	H(7,𝔽₂)	1	1	yes	characteristic
1418	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1419	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1420	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
1421	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1422	#41	—	2	4	no	—
1423	#41	—	2	8	no	—
1424	#41	—	2	4	no	—
1425	#41	—	4	8	no	—
1426	#41	—	4	8	no	—
1427	#41	—	4	8	no	—
1428	#41	—	4	8	no	—
1429	#41	—	4	8	no	—
1430	#41	—	4	8	no	—
1431	#41	—	4	4	no	—
1432	#41	—	4	4	no	—
1433	#41	—	4	8	no	—
1434	#41	—	4	8	no	—
1435	#41	—	4	4	no	—
1436	#41	—	4	8	no	—
1437	#41	—	8	8	no	—
1438	#41	—	8	4	no	—
1439	C₂×Q₈	—	2	4	no	—
1440	C₂×Q₈	—	4	4	no	—
1441	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1442	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1443	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1444	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1445	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1446	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1447	C₂×Q₈	C₂⁴×C₁₃	1	2	yes	—
1448	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1449	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1450	C₂×D₄	—	2	8	no	—
1451	C₂×D₄	—	4	4	no	—
1452	C₂×D₄	—	4	8	no	—
1453	C₂×D₄	—	4	8	no	—
1454	C₂×D₄	—	4	2	no	—
1455	C₂×D₄	—	4	4	no	—
1456	C₂×D₄	—	4	8	no	—
1457	C₂×D₄	—	4	4	no	—
1458	C₂×D₄	—	4	8	no	—
1459	C₂×D₄	—	4	8	no	—
1460	C₂×D₄	—	4	16	no	—
1461	C₂×D₄	—	8	2	no	—
1462	C₂×D₄	—	8	4	no	—
1463	C₂×D₄	—	8	4	no	—
1464	C₂×D₄	—	8	8	no	—
1465	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1466	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1467	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1468	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1469	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1470	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1471	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1472	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1473	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1474	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1475	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1476	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1477	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1478	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1479	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1480	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1481	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1482	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1483	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1484	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1485	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1486	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1487	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1488	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1489	C₂×D₄	C₂⁴×C₁₃	1	2	yes	—
1490	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1491	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1492	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1493	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1494	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1495	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1496	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1497	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1498	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1499	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1500	C₂²×C₄	—	2	8	no	—
1501	C₂²×C₄	—	4	8	no	—
1502	C₂²×C₄	—	4	8	no	—
1503	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1504	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1505	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1506	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1507	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1508	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1509	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1510	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1511	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1512	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1513	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1514	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1515	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	4	yes	—
1520	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1521	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1522	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1523	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1524	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1525	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1526	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1527	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1528	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1529	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1530	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1531	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1532	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1533	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1534	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1535	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1536	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1537	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1538	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1539	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1540	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1541	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1542	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1543	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1544	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1545	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1546	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1547	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1548	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1549	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1550	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1551	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1552	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1553	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1554	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1555	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1556	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1557	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1558	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1559	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1560	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1561	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1562	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1563	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1564	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1565	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1566	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1567	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1568	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1569	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1570	C₄⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1571	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1572	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1573	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1574	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1575	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1576	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1577	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1578	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1579	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1580	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1581	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1582	C₂²⋊C₄	C₂⁴×C₁₃	1	4	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	2	yes	—
1588	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1589	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1590	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1591	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1592	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1593	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1594	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1595	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1596	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1597	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1598	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1599	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1600	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1601	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1602	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1603	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1604	C₂²⋊C₄	C₂⁴×C₁₃	1	2	yes	—
1605	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1606	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1607	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1608	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1609	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1610	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1611	C₄²	C₂⁴×C₁₃	1	2	yes	—
1612	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1613	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1614	C₄²	C₂⁴×C₁₃	1	4	yes	—
1615	C₄²	C₂⁴×C₁₃	1	4	yes	—
1616	C₄²	C₂⁴×C₁₃	1	2	yes	—
1617	C₄²	C₂⁴×C₁₃	1	4	yes	—
1618	C₄²	C₂⁴×C₁₃	1	2	yes	—
1619	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1620	C₄²	C₂⁴×C₁₃	1	2	yes	—
1621	C₄²	C₂⁴×C₁₃	1	4	yes	—
1622	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1623	C₄²	C₂⁴×C₁₃	1	2	yes	—
1624	C₄²	C₂⁴×C₁₃	1	4	yes	—
1625	C₄²	C₂⁴×C₁₃	1	2	yes	—
1626	C₄²	C₂⁴×C₁₃	1	8	yes	—
1627	C₁₃	#62955	1	1	yes	characteristic, direct product factor, Sylow
1628	C₂³	—	2	4	no	—
1629	C₂³	—	2	8	no	—
1630	C₂³	—	4	4	no	—
1631	C₂³	—	4	2	no	—
1632	C₂³	—	4	4	no	—
1633	C₂³	—	4	4	no	—
1634	C₂³	—	4	2	no	—
1635	C₂³	—	4	4	no	—
1636	C₂³	—	4	4	no	—
1637	C₂³	—	4	8	no	—
1638	C₂³	—	4	8	no	—
1639	C₂³	—	4	8	no	—
1640	C₂³	C₂⁵×C₁₃	1	2	yes	—
1641	C₂³	C₂⁵×C₁₃	1	2	yes	—
1642	C₂³	C₂⁵×C₁₃	1	4	yes	—
1643	C₂³	C₂⁵×C₁₃	1	2	yes	—
1644	C₂³	C₂⁵×C₁₃	1	8	yes	—
1645	C₂³	C₂⁵×C₁₃	1	2	yes	—
1646	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1647	Q₈	—	2	4	no	—
1648	Q₈	—	2	4	no	—
1649	Q₈	—	2	2	no	—
1650	Q₈	—	2	4	no	—
1651	Q₈	—	2	2	no	—
1652	Q₈	—	2	4	no	—
1653	Q₈	—	4	4	no	—
1654	Q₈	—	4	2	no	—
1655	Q₈	—	4	4	no	—
1656	D₄	—	2	4	no	—
1657	D₄	—	2	8	no	—
1658	D₄	—	2	4	no	—
1659	D₄	—	2	8	no	—
1660	D₄	—	2	8	no	—
1661	D₄	—	2	2	no	—
1662	D₄	—	2	4	no	—
1663	D₄	—	2	2	no	—
1664	D₄	—	2	2	no	—
1665	D₄	—	2	4	no	—
1666	D₄	—	2	8	no	—
1667	D₄	—	2	2	no	—
1668	D₄	—	4	8	no	—
1669	D₄	—	4	8	no	—
1670	D₄	—	4	4	no	—
1671	D₄	—	4	8	no	—
1672	D₄	—	4	2	no	—
1673	D₄	—	4	4	no	—
1674	D₄	—	4	4	no	—
1675	D₄	—	4	4	no	—
1676	D₄	—	4	4	no	—
1677	D₄	—	4	8	no	—
1678	D₄	—	4	8	no	—
1679	D₄	—	4	4	no	—
1680	D₄	—	4	2	no	—
1681	D₄	—	4	4	no	—
1682	D₄	—	4	4	no	—
1683	D₄	—	4	8	no	—
1684	D₄	—	4	8	no	—
1685	D₄	—	4	8	no	—
1686	D₄	—	4	8	no	—
1687	D₄	—	4	4	no	—
1688	D₄	—	4	8	no	—
1689	D₄	—	4	4	no	—
1690	D₄	—	4	4	no	—
1691	C₂×C₄	—	2	4	no	—
1692	C₂×C₄	—	2	4	no	—
1693	C₂×C₄	—	2	4	no	—
1694	C₂×C₄	—	2	4	no	—
1695	C₂×C₄	—	2	4	no	—
1696	C₂×C₄	—	2	4	no	—
1697	C₂×C₄	—	2	4	no	—
1698	C₂×C₄	—	2	8	no	—
1699	C₂×C₄	—	2	4	no	—
1700	C₂×C₄	—	2	2	no	—
1701	C₂×C₄	—	2	4	no	—
1702	C₂×C₄	—	2	4	no	—
1703	C₂×C₄	—	4	4	no	—
1704	C₂×C₄	—	4	4	no	—
1705	C₂×C₄	—	4	4	no	—
1706	C₂×C₄	—	4	8	no	—
1707	C₂×C₄	—	4	8	no	—
1708	C₂×C₄	—	4	8	no	—
1709	C₂×C₄	—	4	1	no	—
1710	C₂×C₄	—	4	2	no	—
1711	C₂×C₄	—	4	2	no	—
1712	C₂×C₄	—	4	8	no	—
1713	C₂×C₄	—	4	8	no	—
1714	C₂×C₄	—	4	4	no	—
1715	C₂×C₄	—	4	8	no	—
1716	C₂×C₄	—	4	4	no	—
1717	C₂×C₄	—	4	2	no	—
1718	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1719	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1720	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1721	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1722	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1723	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1724	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1725	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1726	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1727	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1728	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1729	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1730	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1731	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1732	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1733	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1734	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1735	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1736	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1737	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1738	C₂²	—	2	1	no	—
1739	C₂²	—	2	1	no	—
1740	C₂²	—	2	2	no	—
1741	C₂²	—	2	2	no	—
1742	C₂²	—	2	2	no	—
1743	C₂²	—	2	4	no	—
1744	C₂²	—	2	2	no	—
1745	C₂²	—	2	8	no	—
1746	C₂²	—	2	2	no	—
1747	C₂²	—	2	2	no	—
1748	C₂²	—	2	2	no	—
1749	C₂²	—	2	8	no	—
1750	C₂²	—	2	2	no	—
1751	C₂²	—	2	4	no	—
1752	C₂²	—	2	2	no	—
1753	C₂²	—	2	4	no	—
1754	C₂²	—	2	2	no	—
1755	C₂²	—	2	8	no	—
1756	C₂²	—	2	2	no	—
1757	C₂²	—	2	2	no	—
1758	C₂²	—	8	4	no	—
1759	C₂²	—	8	8	no	—
1760	C₂²	—	8	8	no	—
1761	C₂²	—	16	8	no	—
1762	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1763	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1764	C₄	—	2	2	no	—
1765	C₄	—	2	2	no	—
1766	C₄	—	2	2	no	—
1767	C₄	—	2	4	no	—
1768	C₄	—	2	2	no	—
1769	C₄	—	2	4	no	—
1770	C₄	—	2	2	no	—
1771	C₄	—	2	2	no	—
1772	C₄	—	2	1	no	—
1773	C₄	—	2	4	no	—
1774	C₄	—	2	4	no	—
1775	C₄	—	2	2	no	—
1776	C₄	—	2	1	no	—
1777	C₄	—	2	4	no	—
1778	C₄	—	2	1	no	—
1779	C₄	—	2	2	no	—
1780	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1781	C₄	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1782	C₄	C₁₃×#585	1	2	yes	—
1783	C₂	—	2	2	no	—
1784	C₂	—	4	2	no	—
1785	C₂	—	4	2	no	—
1786	C₂	—	4	4	no	—
1787	C₂	—	4	8	no	—
1788	C₂	—	4	2	no	—
1789	C₂	—	4	2	no	—
1790	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1791	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1792	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×#3562	C₂	semidirect
2. C₁₃×#3554	C₂	semidirect
3. C₁₃×#3548	C₂	semidirect
4. C₁₃×#3546	C₂	semidirect
5. C₁₃×#3546	C₂	semidirect
6. C₁₃×#3543	C₂	semidirect
7. C₁₃×#3543	C₂	semidirect
8. C₁₃×#3542	C₂	semidirect
9. C₁₃×#3539	C₂	semidirect
10. C₁₃×#3534	C₂	semidirect
11. C₁₃×#3519	C₂	semidirect
12. C₁₃×#3517	C₂	semidirect
13. C₁₃×#3513	C₂	semidirect
14. C₁₃×#3508	C₂	semidirect
15. C₁₃×#3508	C₂	semidirect
16. C₁₃×#3507	C₂	semidirect
17. C₁₃×#3506	C₂	semidirect
18. C₁₃×#3498	C₂	semidirect
19. C₁₃×#3494	C₂	semidirect
20. C₁₃×#3488	C₂	semidirect
21. C₁₃×#3485	C₂	semidirect
22. C₁₃×#3475	C₂	semidirect
23. D₄×C₁₃×#41	C₂	semidirect
24. C₂×C₁₃×#550	C₂	semidirect
25. C₁₃×#3461	C₂	semidirect
26. C₁₃×#3449	C₂	semidirect
27. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
28. C₂²×C₁₃×#41	C₂²	semidirect
29. C₂²×C₁₃×#41	C₂²	semidirect
30. C₁₃×#562	C₂²	semidirect
31. C₁₃×#562	C₂²	semidirect
32. C₁₃×#560	C₂²	semidirect
33. C₁₃×#560	C₂²	semidirect
34. C₁₃×#560	C₂²	semidirect
35. C₁₃×#560	C₂²	semidirect
36. C₁₃×#559	C₂²	semidirect
37. C₁₃×#559	C₂²	semidirect
38. C₁₃×#559	C₂²	semidirect
39. C₁₃×#559	C₂²	semidirect
40. C₁₃×#559	C₂²	semidirect
41. C₁₃×#557	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×#554	C₂²	semidirect
48. C₁₃×#554	C₂²	semidirect
49. C₁₃×#554	C₂²	semidirect
50. C₁₃×#553	C₂²	semidirect
51. C₁₃×#553	C₂²	semidirect
52. C₁₃×#553	C₂²	semidirect
53. C₁₃×#553	C₂²	semidirect
54. C₁₃×#553	C₂²	semidirect
55. C₁₃×#553	C₂²	semidirect
56. C₁₃×#553	C₂²	semidirect
57. C₁₃×#552	C₂²	semidirect
58. C₁₃×#552	C₂²	semidirect
59. C₁₃×#552	C₂²	semidirect
60. C₁₃×#551	C₂²	semidirect
61. C₁₃×#551	C₂²	semidirect
62. C₁₃×#551	C₂²	semidirect
63. C₁₃×#550	C₂²	semidirect
64. C₁₃×#550	C₂²	semidirect
65. C₁₃×#550	C₂²	semidirect
66. C₁₃×#550	C₂²	semidirect
67. C₁₃×#550	C₂²	semidirect
68. C₁₃×#550	C₂²	semidirect
69. C₁₃×#550	C₂²	semidirect
70. C₁₃×#550	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. D₄×Q₈×C₁₃	C₂²	semidirect
78. C₁₃×#548	C₂²	semidirect
79. C₁₃×#548	C₂²	semidirect
80. C₁₃×#547	C₂²	semidirect
81. C₁₃×#547	C₂²	semidirect
82. C₁₃×#547	C₂²	semidirect
83. C₁₃×#547	C₂²	semidirect
84. C₁₃×#547	C₂²	semidirect
85. C₁₃×#547	C₂²	semidirect
86. C₁₃×#547	C₂²	semidirect
87. C₁₃×#547	C₂²	semidirect
88. C₁₃×#546	C₂²	semidirect
89. C₁₃×#546	C₂²	semidirect
90. C₁₃×#546	C₂²	semidirect
91. C₁₃×#546	C₂²	semidirect
92. C₁₃×#546	C₂²	semidirect
93. C₁₃×#546	C₂²	semidirect
94. C₁₃×#546	C₂²	semidirect
95. C₁₃×#546	C₂²	semidirect
96. C₁₃×#546	C₂²	semidirect
97. C₁₃×#546	C₂²	semidirect
98. C₁₃×#546	C₂²	semidirect
99. C₁₃×#546	C₂²	semidirect
100. C₁₃×#546	C₂²	semidirect
101. C₁₃×#546	C₂²	semidirect
102. C₁₃×#546	C₂²	semidirect
103. D₄²×C₁₃	C₂²	semidirect
104. D₄²×C₁₃	C₂²	semidirect
105. D₄²×C₁₃	C₂²	semidirect
106. D₄²×C₁₃	C₂²	semidirect
107. D₄²×C₁₃	C₂²	semidirect
108. D₄²×C₁₃	C₂²	semidirect
109. D₄²×C₁₃	C₂²	semidirect
110. D₄²×C₁₃	C₂²	semidirect
111. D₄²×C₁₃	C₂²	semidirect
112. C₁₃×#544	C₂²	semidirect
113. C₁₃×#542	C₂²	semidirect
114. C₁₃×#542	C₂²	semidirect
115. C₁₃×#542	C₂²	semidirect
116. C₁₃×#542	C₂²	semidirect
117. C₁₃×#541	C₂²	semidirect
118. C₁₃×#541	C₂²	semidirect
119. C₁₃×#540	C₂²	semidirect
120. C₁₃×#540	C₂²	semidirect
121. C₁₃×#540	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×#539	C₂²	semidirect
128. C₁₃×#539	C₂²	semidirect
129. C₁₃×#539	C₂²	semidirect
130. C₁₃×#539	C₂²	semidirect
131. C₁₃×#538	C₂²	semidirect
132. C₁₃×#538	C₂²	semidirect
133. C₁₃×#538	C₂²	semidirect
134. C₁₃×#538	C₂²	semidirect
136. C₁₃×#537	C₂²	semidirect
137. C₁₃×#537	C₂²	semidirect
138. C₁₃×#537	C₂²	semidirect
139. C₁₃×#537	C₂²	semidirect
140. C₁₃×#536	C₂²	semidirect
141. C₁₃×#536	C₂²	semidirect
142. C₁₃×#536	C₂²	semidirect
143. C₁₃×#536	C₂²	semidirect
144. C₁₃×#535	C₂²	semidirect
145. C₁₃×#535	C₂²	semidirect
146. C₁₃×#535	C₂²	semidirect
147. C₁₃×#535	C₂²	semidirect
148. C₁₃×#535	C₂²	semidirect
149. C₁₃×#535	C₂²	semidirect
150. C₁₃×#535	C₂²	semidirect
151. C₁₃×#535	C₂²	semidirect
152. C₁₃×#534	C₂²	semidirect
153. C₁₃×#534	C₂²	semidirect
154. C₁₃×#534	C₂²	semidirect
155. C₁₃×#533	C₂²	semidirect
156. C₁₃×#533	C₂²	semidirect
157. C₁₃×#533	C₂²	semidirect
159. C₁₃×#532	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×#127	C₂²	semidirect
167. C₂×C₁₃×#127	C₂²	semidirect
168. C₂×C₁₃×#127	C₂²	semidirect
169. C₁₃×#529	C₂²	semidirect
170. C₁₃×#529	C₂²	semidirect
171. C₁₃×#529	C₂²	semidirect
172. C₁₃×#529	C₂²	semidirect
173. C₁₃×#529	C₂²	semidirect
174. C₁₃×#529	C₂²	semidirect
175. C₁₃×#529	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×#121	C₂²	semidirect
185. C₂×C₁₃×#121	C₂²	semidirect
186. C₂×C₁₃×#121	C₂²	semidirect
187. C₁₃×#520	C₂²	semidirect
188. C₁₃×#520	C₂²	semidirect
189. C₁₃×#518	C₂²	semidirect
190. C₁₃×#518	C₂²	semidirect
191. C₄×C₁₃×#41	C₂²	semidirect
192. C₄×C₁₃×#41	C₂²	semidirect
193. C₄×C₁₃×#41	C₂²	semidirect
194. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
195. C₂×C₄×D₄×C₁₃	C₂²	semidirect
196. C₂×C₄×D₄×C₁₃	C₂²	semidirect
197. C₂×C₄×D₄×C₁₃	C₂²	semidirect
198. C₂×C₁₃×#117	C₂²	semidirect
522. #62955	C₁₃	direct (N × H)
732. #3562	C₂×C₁₃	semidirect
733. #3554	C₂×C₁₃	semidirect
734. #3548	C₂×C₁₃	semidirect
735. #3546	C₂×C₁₃	semidirect
736. #3546	C₂×C₁₃	semidirect
737. #3543	C₂×C₁₃	semidirect
738. #3543	C₂×C₁₃	semidirect
739. #3542	C₂×C₁₃	semidirect
740. #3539	C₂×C₁₃	semidirect
741. #3534	C₂×C₁₃	semidirect
742. #3519	C₂×C₁₃	semidirect
743. #3517	C₂×C₁₃	semidirect
744. #3513	C₂×C₁₃	semidirect
745. #3508	C₂×C₁₃	semidirect
746. #3508	C₂×C₁₃	semidirect
747. #3507	C₂×C₁₃	semidirect
748. #3506	C₂×C₁₃	semidirect
749. #3498	C₂×C₁₃	semidirect
750. #3494	C₂×C₁₃	semidirect
751. #3488	C₂×C₁₃	semidirect
752. #3485	C₂×C₁₃	semidirect
753. #3475	C₂×C₁₃	semidirect
754. D₄×#41	C₂×C₁₃	semidirect
755. C₂×#550	C₂×C₁₃	semidirect
756. #3461	C₂×C₁₃	semidirect
757. #3449	C₂×C₁₃	semidirect
868. C₂×H(5,𝔽₂)	C₂²×C₁₃	semidirect
869. C₂²×#41	C₂²×C₁₃	semidirect
870. C₂²×#41	C₂²×C₁₃	semidirect
871. #562	C₂²×C₁₃	semidirect
872. #562	C₂²×C₁₃	semidirect
873. #560	C₂²×C₁₃	semidirect
874. #560	C₂²×C₁₃	semidirect
875. #560	C₂²×C₁₃	semidirect
876. #560	C₂²×C₁₃	semidirect
877. #559	C₂²×C₁₃	semidirect
878. #559	C₂²×C₁₃	semidirect
879. #559	C₂²×C₁₃	semidirect
880. #559	C₂²×C₁₃	semidirect
881. #559	C₂²×C₁₃	semidirect
882. #557	C₂²×C₁₃	semidirect
883. #556	C₂²×C₁₃	semidirect
884. #556	C₂²×C₁₃	semidirect
885. #556	C₂²×C₁₃	semidirect
886. #555	C₂²×C₁₃	semidirect
887. #555	C₂²×C₁₃	semidirect
888. #554	C₂²×C₁₃	semidirect
889. #554	C₂²×C₁₃	semidirect
890. #554	C₂²×C₁₃	semidirect
891. #553	C₂²×C₁₃	semidirect
892. #553	C₂²×C₁₃	semidirect
893. #553	C₂²×C₁₃	semidirect
894. #553	C₂²×C₁₃	semidirect
895. #553	C₂²×C₁₃	semidirect
896. #553	C₂²×C₁₃	semidirect
897. #553	C₂²×C₁₃	semidirect
898. #552	C₂²×C₁₃	semidirect
899. #552	C₂²×C₁₃	semidirect
900. #552	C₂²×C₁₃	semidirect
901. #551	C₂²×C₁₃	semidirect
902. #551	C₂²×C₁₃	semidirect
903. #551	C₂²×C₁₃	semidirect
904. #550	C₂²×C₁₃	semidirect
905. #550	C₂²×C₁₃	semidirect
906. #550	C₂²×C₁₃	semidirect
907. #550	C₂²×C₁₃	semidirect
908. #550	C₂²×C₁₃	semidirect
909. #550	C₂²×C₁₃	semidirect
910. #550	C₂²×C₁₃	semidirect
911. #550	C₂²×C₁₃	semidirect
912. #550	C₂²×C₁₃	semidirect
913. #550	C₂²×C₁₃	semidirect
914. #550	C₂²×C₁₃	semidirect
915. #550	C₂²×C₁₃	semidirect
916. #550	C₂²×C₁₃	semidirect
917. #550	C₂²×C₁₃	semidirect
918. D₄×Q₈	C₂²×C₁₃	semidirect
919. #548	C₂²×C₁₃	semidirect
920. #548	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. #546	C₂²×C₁₃	semidirect
930. #546	C₂²×C₁₃	semidirect
931. #546	C₂²×C₁₃	semidirect
932. #546	C₂²×C₁₃	semidirect
933. #546	C₂²×C₁₃	semidirect
934. #546	C₂²×C₁₃	semidirect
935. #546	C₂²×C₁₃	semidirect
936. #546	C₂²×C₁₃	semidirect
937. #546	C₂²×C₁₃	semidirect
938. #546	C₂²×C₁₃	semidirect
939. #546	C₂²×C₁₃	semidirect
940. #546	C₂²×C₁₃	semidirect
941. #546	C₂²×C₁₃	semidirect
942. #546	C₂²×C₁₃	semidirect
943. #546	C₂²×C₁₃	semidirect
944. D₄²	C₂²×C₁₃	semidirect
945. D₄²	C₂²×C₁₃	semidirect
946. D₄²	C₂²×C₁₃	semidirect
947. D₄²	C₂²×C₁₃	semidirect
948. D₄²	C₂²×C₁₃	semidirect
949. D₄²	C₂²×C₁₃	semidirect
950. D₄²	C₂²×C₁₃	semidirect
951. D₄²	C₂²×C₁₃	semidirect
952. D₄²	C₂²×C₁₃	semidirect
953. #544	C₂²×C₁₃	semidirect
954. #542	C₂²×C₁₃	semidirect
955. #542	C₂²×C₁₃	semidirect
956. #542	C₂²×C₁₃	semidirect
957. #542	C₂²×C₁₃	semidirect
958. #541	C₂²×C₁₃	semidirect
959. #541	C₂²×C₁₃	semidirect
960. #540	C₂²×C₁₃	semidirect
961. #540	C₂²×C₁₃	semidirect
962. #540	C₂²×C₁₃	semidirect
963. #540	C₂²×C₁₃	semidirect
964. #540	C₂²×C₁₃	semidirect
965. #540	C₂²×C₁₃	semidirect
966. #540	C₂²×C₁₃	semidirect
967. #540	C₂²×C₁₃	semidirect
968. #539	C₂²×C₁₃	semidirect
969. #539	C₂²×C₁₃	semidirect
970. #539	C₂²×C₁₃	semidirect
971. #539	C₂²×C₁₃	semidirect
972. #538	C₂²×C₁₃	semidirect
973. #538	C₂²×C₁₃	semidirect
974. #538	C₂²×C₁₃	semidirect
975. #538	C₂²×C₁₃	semidirect
977. #537	C₂²×C₁₃	semidirect
978. #537	C₂²×C₁₃	semidirect
979. #537	C₂²×C₁₃	semidirect
980. #537	C₂²×C₁₃	semidirect
981. #536	C₂²×C₁₃	semidirect
982. #536	C₂²×C₁₃	semidirect
983. #536	C₂²×C₁₃	semidirect
984. #536	C₂²×C₁₃	semidirect
985. #535	C₂²×C₁₃	semidirect
986. #535	C₂²×C₁₃	semidirect
987. #535	C₂²×C₁₃	semidirect
988. #535	C₂²×C₁₃	semidirect
989. #535	C₂²×C₁₃	semidirect
990. #535	C₂²×C₁₃	semidirect
991. #535	C₂²×C₁₃	semidirect
992. #535	C₂²×C₁₃	semidirect
993. #534	C₂²×C₁₃	semidirect
994. #534	C₂²×C₁₃	semidirect
995. #534	C₂²×C₁₃	semidirect
996. #533	C₂²×C₁₃	semidirect
997. #533	C₂²×C₁₃	semidirect
998. #533	C₂²×C₁₃	semidirect
1000. #532	C₂²×C₁₃	semidirect
1001. #532	C₂²×C₁₃	semidirect
1002. #532	C₂²×C₁₃	semidirect
1003. #532	C₂²×C₁₃	semidirect
1004. #532	C₂²×C₁₃	semidirect
1005. #532	C₂²×C₁₃	semidirect
1006. #532	C₂²×C₁₃	semidirect
1007. C₂×#127	C₂²×C₁₃	semidirect
1008. C₂×#127	C₂²×C₁₃	semidirect
1009. C₂×#127	C₂²×C₁₃	semidirect
1010. #529	C₂²×C₁₃	semidirect
1011. #529	C₂²×C₁₃	semidirect
1012. #529	C₂²×C₁₃	semidirect
1013. #529	C₂²×C₁₃	semidirect
1014. #529	C₂²×C₁₃	semidirect
1015. #529	C₂²×C₁₃	semidirect
1016. #529	C₂²×C₁₃	semidirect
1017. #525	C₂²×C₁₃	semidirect
1018. #525	C₂²×C₁₃	semidirect
1019. #525	C₂²×C₁₃	semidirect
1020. #525	C₂²×C₁₃	semidirect
1021. #525	C₂²×C₁₃	semidirect
1022. #525	C₂²×C₁₃	semidirect
1023. #525	C₂²×C₁₃	semidirect
1024. C₂×#123	C₂²×C₁₃	semidirect
1025. C₂×#121	C₂²×C₁₃	semidirect
1026. C₂×#121	C₂²×C₁₃	semidirect
1027. C₂×#121	C₂²×C₁₃	semidirect
1028. #520	C₂²×C₁₃	semidirect
1029. #520	C₂²×C₁₃	semidirect
1030. #518	C₂²×C₁₃	semidirect
1031. #518	C₂²×C₁₃	semidirect
1032. C₄×#41	C₂²×C₁₃	semidirect
1033. C₄×#41	C₂²×C₁₃	semidirect
1034. C₄×#41	C₂²×C₁₃	semidirect
1035. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
1036. C₂×C₄×D₄	C₂²×C₁₃	semidirect
1037. C₂×C₄×D₄	C₂²×C₁₃	semidirect
1038. C₂×C₄×D₄	C₂²×C₁₃	semidirect
1039. C₂×#117	C₂²×C₁₃	semidirect
1627. C₁₃	#62955	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×#3548	2
C₁₃×#3546	2
C₁₃×#3543	2
C₁₃×#3542	2
C₁₃×#3539	2
C₁₃×#3534	2
C₁₃×#3519	2
C₁₃×#3517	2
C₁₃×#3513	2
C₁₃×#3508	2
C₁₃×#3507	2
C₁₃×#3506	2
C₁₃×#3498	2
C₁₃×#3494	2
C₁₃×#3488	2
C₁₃×#3485	2
C₁₃×#3475	2
D₄×C₁₃×#41	2
C₂×C₁₃×#550	2
C₁₃×#3461	2
C₁₃×#3449	2
#62955	13

Subgroups — C13×#62955 #15749294

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#62955 #15749294