Subgroups — C₁₃×#61580 #15747919

Order 3328.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3520	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3317	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3313	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3311	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3310	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3269	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3269	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3267	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#3219	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3216	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3197	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3196	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3191	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3190	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3116	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3007	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3005	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2973	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
33	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#137	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#135	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#554	—	2	1	no	—
44	C₁₃×#552	C₂²	1	1	yes	characteristic
45	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#551	—	2	1	no	—
47	C₁₃×#551	—	2	1	no	—
48	C₁₃×#550	C₂²	1	1	yes	characteristic
49	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
50	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#548	C₂²	1	1	yes	characteristic
52	C₁₃×#548	C₂²	1	1	yes	characteristic
53	C₁₃×#548	C₂²	1	1	yes	characteristic
54	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#547	—	2	1	no	—
56	C₁₃×#547	C₂²	1	1	yes	characteristic
57	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#546	—	2	1	no	—
60	C₁₃×#546	—	2	1	no	—
61	C₁₃×#546	—	2	1	no	—
62	C₁₃×#546	C₂²	1	1	yes	characteristic
63	C₁₃×#546	C₂²	1	1	yes	characteristic
64	D₄²×C₁₃	—	2	1	no	—
65	D₄²×C₁₃	C₂²	1	1	yes	characteristic
66	C₁₃×#542	—	2	1	no	—
67	C₁₃×#539	—	2	1	no	—
68	C₁₃×#539	—	2	1	no	—
69	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#532	—	2	1	no	—
71	C₁₃×#532	C₂²	1	1	yes	characteristic
72	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#525	—	2	1	no	—
74	C₁₃×#525	—	2	1	no	—
75	C₁₃×#525	C₂²	1	1	yes	characteristic
76	C₁₃×#525	C₂²	1	1	yes	characteristic
77	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#520	—	2	1	no	—
82	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
83	C₂×C₄×D₄×C₁₃	—	2	1	no	—
84	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
85	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#490	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#485	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#481	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#479	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#462	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#461	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#460	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#452	C₂²	1	1	yes	characteristic
138	C₁₃×#452	C₂²	1	1	yes	characteristic
139	C₁₃×#452	C₂²	1	1	yes	characteristic
140	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
143	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
146	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
147	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
152	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
158	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
159	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
160	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
161	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
162	C₁₃×#449	C₂²	1	1	yes	characteristic
163	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
164	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
165	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
170	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
171	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
172	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
173	C₁₃×#442	C₂²	1	1	yes	characteristic, complemented
174	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
175	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
176	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
177	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
178	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
179	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
180	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
181	C₁₃×#435	C₂²	1	1	yes	characteristic
182	C₁₃×#435	C₂²	1	1	yes	characteristic
183	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
184	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
185	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
186	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
187	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
188	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
189	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
190	C₁₃×#432	C₂²	1	1	yes	characteristic, complemented
191	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
192	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
193	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
194	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
195	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
196	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
199	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
200	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
201	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₃×#41	—	2	1	no	—
204	C₂×C₁₃×#41	—	2	1	no	—
205	C₂×C₁₃×#41	—	2	1	no	—
206	C₂×C₁₃×#41	—	2	1	no	—
207	C₂×C₁₃×#41	—	2	1	no	—
208	C₂×C₁₃×#41	—	4	2	no	—
209	C₂×C₁₃×#41	—	4	2	no	—
210	C₂×C₁₃×#41	—	4	2	no	—
211	C₂×C₁₃×#41	—	4	2	no	—
212	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
221	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
223	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
224	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
225	C₂²×D₄×C₁₃	—	2	1	no	—
226	C₂²×D₄×C₁₃	—	2	1	no	—
227	C₂²×D₄×C₁₃	—	2	1	no	—
228	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
229	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
230	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
231	C₂³×C₄×C₁₃	—	2	1	no	—
232	C₂³×C₄×C₁₃	—	2	1	no	—
233	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
234	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
235	C₁₃×#137	—	4	2	no	—
236	C₁₃×#137	—	4	2	no	—
237	C₁₃×#137	—	4	2	no	—
238	C₁₃×AGL(1,ℤ/8)	—	4	2	no	—
239	C₁₃×#135	—	4	2	no	—
240	C₁₃×#135	—	4	2	no	—
241	C₂×C₁₃×Q₁₆	—	4	2	no	—
242	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×SD₁₆	—	4	2	no	—
252	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
270	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
271	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
272	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
273	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
274	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
275	C₁₃×C₄⋊Q₈	—	2	1	no	—
276	C₁₃×C₄⋊Q₈	—	2	1	no	—
277	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
278	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
279	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
280	C₁₃×#127	—	2	1	no	—
281	C₁₃×#127	C₂³	1	1	yes	characteristic
282	C₁₃×#126	—	2	1	no	—
283	C₁₃×#126	—	2	1	no	—
284	C₁₃×#126	—	2	1	no	—
285	C₁₃×#126	—	2	1	no	—
286	C₁₃×#126	—	2	1	no	—
287	C₁₃×#125	—	2	1	no	—
288	C₁₃×#125	—	2	1	no	—
289	C₁₃×#125	—	2	1	no	—
290	C₁₃×#125	C₂³	1	1	yes	characteristic
291	C₁₃×#124	—	2	1	no	—
292	C₁₃×#124	—	2	1	no	—
293	C₁₃×#124	—	2	1	no	—
294	C₁₃×#124	—	2	1	no	—
295	C₁₃×#124	—	2	1	no	—
296	C₁₃×#124	C₂³	1	1	yes	characteristic
297	C₁₃×#124	C₂³	1	1	yes	characteristic
298	C₁₃×#124	C₂³	1	1	yes	characteristic
299	C₁₃×#123	—	2	1	no	—
300	C₁₃×#123	—	2	1	no	—
301	C₁₃×#123	—	2	1	no	—
302	C₁₃×#123	—	2	1	no	—
303	C₁₃×#123	—	2	1	no	—
304	C₁₃×#123	—	2	1	no	—
305	C₁₃×#123	—	2	1	no	—
306	C₁₃×#123	—	2	1	no	—
307	C₁₃×#123	—	2	1	no	—
308	C₁₃×#123	—	2	1	no	—
309	C₁₃×#123	—	2	1	no	—
310	C₁₃×#123	—	2	1	no	—
311	C₁₃×#123	—	2	1	no	—
312	C₁₃×#123	—	2	1	no	—
313	C₁₃×#123	—	2	1	no	—
314	C₁₃×C₂²⋊Q₈	—	2	1	no	—
315	C₁₃×C₂²⋊Q₈	—	2	1	no	—
316	C₁₃×C₂²⋊Q₈	—	2	1	no	—
317	C₁₃×C₂²⋊Q₈	—	2	1	no	—
318	C₁₃×C₂²⋊Q₈	—	2	1	no	—
319	C₁₃×C₂²⋊Q₈	—	2	1	no	—
320	C₁₃×C₂²⋊Q₈	—	2	1	no	—
321	C₁₃×C₂²⋊Q₈	—	2	1	no	—
322	C₁₃×C₂²⋊Q₈	—	2	1	no	—
323	C₁₃×C₂²⋊Q₈	—	2	1	no	—
324	C₁₃×C₂²⋊Q₈	—	2	1	no	—
325	C₁₃×C₂²⋊Q₈	—	2	1	no	—
326	C₁₃×C₂²⋊Q₈	—	2	1	no	—
327	C₁₃×C₂²⋊Q₈	—	2	1	no	—
328	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
329	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
330	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
331	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
332	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
333	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
334	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
335	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
336	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₁₃×#121	—	2	1	no	—
342	C₁₃×#121	—	2	1	no	—
343	C₁₃×#121	—	2	1	no	—
344	C₁₃×#121	—	2	1	no	—
345	C₁₃×#121	—	2	1	no	—
346	C₁₃×#121	—	2	1	no	—
347	C₁₃×#121	—	2	1	no	—
348	C₁₃×#121	—	2	1	no	—
349	C₁₃×#121	—	2	1	no	—
350	C₁₃×#121	—	2	1	no	—
351	C₁₃×#121	—	2	1	no	—
352	C₁₃×#121	—	2	1	no	—
353	C₁₃×#121	—	2	1	no	—
354	C₁₃×#121	C₂³	1	1	yes	characteristic
355	C₁₃×#121	C₂³	1	1	yes	characteristic
356	C₁₃×#121	C₂³	1	1	yes	characteristic
357	C₁₃×#121	C₂³	1	1	yes	characteristic
358	C₁₃×#121	C₂³	1	1	yes	characteristic
359	C₁₃×#121	C₂³	1	1	yes	characteristic
360	C₁₃×#121	C₂³	1	1	yes	characteristic
361	C₁₃×#120	—	2	1	no	—
362	C₁₃×#120	—	2	1	no	—
363	C₁₃×#120	—	2	1	no	—
364	C₁₃×#120	—	2	1	no	—
365	C₁₃×#120	—	2	1	no	—
366	C₁₃×#120	—	2	1	no	—
367	C₁₃×#120	—	2	1	no	—
368	C₁₃×#120	—	2	1	no	—
369	C₄×Q₈×C₁₃	—	2	1	no	—
370	C₄×Q₈×C₁₃	—	2	1	no	—
371	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
372	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
373	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
374	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
375	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
376	C₄×D₄×C₁₃	—	2	1	no	—
377	C₄×D₄×C₁₃	—	2	1	no	—
378	C₄×D₄×C₁₃	—	2	1	no	—
379	C₄×D₄×C₁₃	—	2	1	no	—
380	C₄×D₄×C₁₃	—	2	1	no	—
381	C₄×D₄×C₁₃	—	2	1	no	—
382	C₄×D₄×C₁₃	—	2	1	no	—
383	C₄×D₄×C₁₃	—	2	1	no	—
384	C₄×D₄×C₁₃	—	2	1	no	—
385	C₄×D₄×C₁₃	—	2	1	no	—
386	C₄×D₄×C₁₃	—	2	1	no	—
387	C₄×D₄×C₁₃	—	2	1	no	—
388	C₄×D₄×C₁₃	—	2	1	no	—
389	C₄×D₄×C₁₃	—	2	1	no	—
390	C₄×D₄×C₁₃	—	2	1	no	—
391	C₄×D₄×C₁₃	—	2	1	no	—
392	C₄×D₄×C₁₃	—	2	1	no	—
393	C₄×D₄×C₁₃	—	2	1	no	—
394	C₄×D₄×C₁₃	—	2	1	no	—
395	C₄×D₄×C₁₃	—	2	1	no	—
396	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
397	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
398	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
399	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
400	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
401	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
402	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
403	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
404	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
405	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
406	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
407	C₁₃×#117	—	2	1	no	—
408	C₁₃×#117	—	2	1	no	—
409	C₁₃×#117	—	2	1	no	—
410	C₁₃×#117	—	2	1	no	—
411	C₁₃×#117	—	2	1	no	—
412	C₁₃×#117	C₂³	1	1	yes	characteristic
413	C₁₃×#117	C₂³	1	1	yes	characteristic
414	C₁₃×#117	C₂³	1	1	yes	characteristic
415	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
416	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
417	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
418	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
419	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
420	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
421	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
422	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
423	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
424	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
425	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
426	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
427	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
428	C₂×C₄²×C₁₃	—	2	1	no	—
429	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
430	C₁₃×#107	C₂³	1	1	yes	characteristic
431	C₁₃×#107	C₂³	1	1	yes	characteristic
432	C₁₃×#107	C₂³	1	1	yes	characteristic
433	C₁₃×#107	C₂³	1	1	yes	characteristic
434	C₁₃×#106	C₂³	1	1	yes	characteristic
435	C₁₃×#106	C₂³	1	1	yes	characteristic
436	C₁₃×#106	C₂³	1	1	yes	characteristic
437	C₁₃×#106	C₂³	1	1	yes	characteristic
438	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
441	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
442	C₁₃×#103	C₂³	1	1	yes	characteristic
443	C₁₃×#103	C₂³	1	1	yes	characteristic
444	C₁₃×#103	C₂³	1	1	yes	characteristic
445	C₁₃×#103	C₂³	1	1	yes	characteristic
446	C₁₃×#103	C₂³	1	1	yes	characteristic
447	C₁₃×#103	C₂³	1	1	yes	characteristic
448	C₁₃×#103	C₂³	1	1	yes	characteristic
449	C₁₃×#103	C₂³	1	1	yes	characteristic
450	C₁₃×#103	C₂³	1	1	yes	characteristic
451	C₁₃×#103	C₂³	1	1	yes	characteristic
452	C₁₃×#103	C₂³	1	1	yes	characteristic
453	C₁₃×#103	C₂³	1	1	yes	characteristic
454	C₁₃×#103	C₂³	1	1	yes	characteristic
455	C₁₃×#103	C₂³	1	1	yes	characteristic
456	C₁₃×#103	C₂³	1	1	yes	characteristic
457	C₁₃×#103	C₂³	1	1	yes	characteristic
458	C₁₃×#103	C₂³	1	1	yes	characteristic
459	C₁₃×#103	C₂³	1	1	yes	characteristic
460	C₁₃×#102	C₂³	1	1	yes	characteristic
461	C₁₃×#102	C₂³	1	1	yes	characteristic
462	C₁₃×#102	C₂³	1	1	yes	characteristic
463	C₁₃×#102	C₂³	1	1	yes	characteristic
464	C₁₃×#102	C₂³	1	1	yes	characteristic
465	C₁₃×#102	C₂³	1	1	yes	characteristic
466	C₁₃×#102	C₂³	1	1	yes	characteristic
467	C₁₃×#102	C₂³	1	1	yes	characteristic
468	C₁₃×#102	C₂³	1	1	yes	characteristic
469	C₁₃×#102	C₂³	1	1	yes	characteristic
470	C₁₃×#102	C₂³	1	1	yes	characteristic
471	C₁₃×#102	C₂³	1	1	yes	characteristic
472	C₁₃×#102	C₂³	1	1	yes	characteristic
473	C₁₃×#102	C₂³	1	1	yes	characteristic
474	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
475	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
476	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
477	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
478	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
479	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
480	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
481	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
482	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
483	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
484	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
485	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
486	C₁₃×#97	C₂³	1	1	yes	characteristic
487	C₁₃×#97	C₂³	1	1	yes	characteristic
488	C₁₃×#97	C₂³	1	1	yes	characteristic
489	C₁₃×#97	C₂³	1	1	yes	characteristic
490	#61580	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	—	2	1	no	—
493	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
494	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
495	C₁₃×#41	—	2	2	no	—
496	C₁₃×#41	—	2	2	no	—
497	C₁₃×#41	—	2	2	no	—
498	C₁₃×#41	—	2	2	no	—
499	C₁₃×#41	—	2	2	no	—
500	C₁₃×#41	—	2	2	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₁₃×#41	—	4	1	no	—
503	C₁₃×#41	—	4	1	no	—
504	C₁₃×#41	—	4	1	no	—
505	C₁₃×#41	—	4	1	no	—
506	C₁₃×#41	—	4	1	no	—
507	C₁₃×#41	—	4	1	no	—
508	C₁₃×#41	—	4	1	no	—
509	C₁₃×#41	—	4	4	no	—
510	C₁₃×#41	—	4	4	no	—
511	C₁₃×#41	—	4	1	no	—
512	C₁₃×#41	—	4	1	no	—
513	C₁₃×#41	—	4	1	no	—
514	C₁₃×#41	—	4	1	no	—
515	C₁₃×#41	—	4	4	no	—
516	C₁₃×#41	—	4	4	no	—
517	C₁₃×#41	—	4	4	no	—
518	C₂×Q₈×C₁₃	—	2	1	no	—
519	C₂×Q₈×C₁₃	—	2	1	no	—
520	C₂×Q₈×C₁₃	—	2	1	no	—
521	C₂×Q₈×C₁₃	—	2	1	no	—
522	C₂×Q₈×C₁₃	—	2	1	no	—
523	C₂×Q₈×C₁₃	—	2	2	no	—
524	C₂×Q₈×C₁₃	—	2	2	no	—
525	C₂×Q₈×C₁₃	—	4	1	no	—
526	C₂×Q₈×C₁₃	—	4	1	no	—
527	C₂×Q₈×C₁₃	—	4	1	no	—
528	C₂×Q₈×C₁₃	—	4	1	no	—
529	C₂×Q₈×C₁₃	—	4	1	no	—
530	C₂×Q₈×C₁₃	—	4	1	no	—
531	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
533	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
534	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
535	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
536	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
537	C₂×D₄×C₁₃	—	2	1	no	—
538	C₂×D₄×C₁₃	—	2	2	no	—
539	C₂×D₄×C₁₃	—	2	2	no	—
540	C₂×D₄×C₁₃	—	2	1	no	—
541	C₂×D₄×C₁₃	—	2	1	no	—
542	C₂×D₄×C₁₃	—	2	1	no	—
543	C₂×D₄×C₁₃	—	2	1	no	—
544	C₂×D₄×C₁₃	—	2	1	no	—
545	C₂×D₄×C₁₃	—	2	1	no	—
546	C₂×D₄×C₁₃	—	2	1	no	—
547	C₂×D₄×C₁₃	—	2	1	no	—
548	C₂×D₄×C₁₃	—	2	1	no	—
549	C₂×D₄×C₁₃	—	2	1	no	—
550	C₂×D₄×C₁₃	—	2	1	no	—
551	C₂×D₄×C₁₃	—	2	1	no	—
552	C₂×D₄×C₁₃	—	2	1	no	—
553	C₂×D₄×C₁₃	—	2	1	no	—
554	C₂×D₄×C₁₃	—	2	1	no	—
555	C₂×D₄×C₁₃	—	2	1	no	—
556	C₂×D₄×C₁₃	—	2	1	no	—
557	C₂×D₄×C₁₃	—	2	1	no	—
558	C₂×D₄×C₁₃	—	2	1	no	—
559	C₂×D₄×C₁₃	—	4	1	no	—
560	C₂×D₄×C₁₃	—	4	1	no	—
561	C₂×D₄×C₁₃	—	4	2	no	—
562	C₂×D₄×C₁₃	—	4	4	no	—
563	C₂×D₄×C₁₃	—	4	4	no	—
564	C₂×D₄×C₁₃	—	4	4	no	—
565	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
566	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
567	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
568	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
569	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
570	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
571	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
572	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₁₃	—	2	1	no	—
574	C₂²×C₄×C₁₃	—	2	1	no	—
575	C₂²×C₄×C₁₃	—	2	1	no	—
576	C₂²×C₄×C₁₃	—	2	1	no	—
577	C₂²×C₄×C₁₃	—	2	1	no	—
578	C₂²×C₄×C₁₃	—	2	1	no	—
579	C₂²×C₄×C₁₃	—	2	1	no	—
580	C₂²×C₄×C₁₃	—	2	1	no	—
581	C₂²×C₄×C₁₃	—	2	1	no	—
582	C₂²×C₄×C₁₃	—	2	1	no	—
583	C₂²×C₄×C₁₃	—	2	1	no	—
584	C₂²×C₄×C₁₃	—	2	1	no	—
585	C₂²×C₄×C₁₃	—	2	1	no	—
586	C₂²×C₄×C₁₃	—	2	1	no	—
587	C₂²×C₄×C₁₃	—	2	1	no	—
588	C₂²×C₄×C₁₃	—	2	1	no	—
589	C₂²×C₄×C₁₃	—	2	1	no	—
590	C₂²×C₄×C₁₃	—	2	1	no	—
591	C₂²×C₄×C₁₃	—	4	1	no	—
592	C₂²×C₄×C₁₃	—	4	1	no	—
593	C₂²×C₄×C₁₃	—	4	1	no	—
594	C₂²×C₄×C₁₃	—	4	1	no	—
595	C₂²×C₄×C₁₃	—	4	4	no	—
596	C₂²×C₄×C₁₃	—	4	4	no	—
597	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
598	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
599	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
600	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
601	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
602	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
603	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
604	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
605	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
606	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
607	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
608	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
609	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
610	C₁₃×Q₁₆	—	2	2	no	—
611	C₁₃×Q₁₆	—	2	2	no	—
612	C₁₃×Q₁₆	—	2	2	no	—
613	C₁₃×Q₁₆	—	4	1	no	—
614	C₁₃×Q₁₆	—	4	1	no	—
615	C₁₃×Q₁₆	—	4	1	no	—
616	C₁₃×Q₁₆	—	4	1	no	—
617	C₁₃×Q₁₆	—	4	1	no	—
618	C₁₃×Q₁₆	—	4	1	no	—
619	C₁₃×SD₁₆	—	2	2	no	—
620	C₁₃×SD₁₆	—	2	2	no	—
621	C₁₃×SD₁₆	—	2	2	no	—
622	C₁₃×SD₁₆	—	2	2	no	—
623	C₁₃×SD₁₆	—	4	1	no	—
624	C₁₃×SD₁₆	—	4	1	no	—
625	C₁₃×SD₁₆	—	4	1	no	—
626	C₁₃×SD₁₆	—	4	1	no	—
627	C₁₃×SD₁₆	—	4	1	no	—
628	C₁₃×SD₁₆	—	4	1	no	—
629	C₁₃×SD₁₆	—	4	1	no	—
630	C₁₃×SD₁₆	—	4	1	no	—
631	C₁₃×D₈	—	2	2	no	—
632	C₁₃×D₈	—	4	1	no	—
633	C₁₃×D₈	—	4	1	no	—
634	C₁₃×M₁₆	—	4	1	no	—
635	C₁₃×M₁₆	—	4	1	no	—
636	C₁₃×M₁₆	—	4	1	no	—
637	C₁₃×M₁₆	—	4	1	no	—
638	C₂×C₈×C₁₃	—	4	1	no	—
639	C₂×C₈×C₁₃	—	4	1	no	—
640	C₂×C₈×C₁₃	—	4	1	no	—
641	C₂×C₈×C₁₃	—	4	1	no	—
642	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
643	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
644	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
645	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
646	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
647	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
648	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
649	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
650	C₁₃×C₄⋊C₄	—	2	1	no	—
651	C₁₃×C₄⋊C₄	—	2	1	no	—
652	C₁₃×C₄⋊C₄	—	2	1	no	—
653	C₁₃×C₄⋊C₄	—	2	1	no	—
654	C₁₃×C₄⋊C₄	—	2	1	no	—
655	C₁₃×C₄⋊C₄	—	2	1	no	—
656	C₁₃×C₄⋊C₄	—	2	1	no	—
657	C₁₃×C₄⋊C₄	—	2	1	no	—
658	C₁₃×C₄⋊C₄	—	2	1	no	—
659	C₁₃×C₄⋊C₄	—	2	1	no	—
660	C₁₃×C₄⋊C₄	—	2	1	no	—
661	C₁₃×C₄⋊C₄	—	2	1	no	—
662	C₁₃×C₄⋊C₄	—	2	1	no	—
663	C₁₃×C₄⋊C₄	—	2	1	no	—
664	C₁₃×C₄⋊C₄	—	2	1	no	—
665	C₁₃×C₄⋊C₄	—	2	1	no	—
666	C₁₃×C₄⋊C₄	—	2	1	no	—
667	C₁₃×C₄⋊C₄	—	2	1	no	—
668	C₁₃×C₄⋊C₄	—	2	1	no	—
669	C₁₃×C₄⋊C₄	—	2	1	no	—
670	C₁₃×C₄⋊C₄	—	2	1	no	—
671	C₁₃×C₄⋊C₄	—	2	1	no	—
672	C₁₃×C₄⋊C₄	—	2	1	no	—
673	C₁₃×C₄⋊C₄	—	2	1	no	—
674	C₁₃×C₄⋊C₄	—	2	1	no	—
675	C₁₃×C₄⋊C₄	—	2	1	no	—
676	C₁₃×C₄⋊C₄	—	2	1	no	—
677	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
679	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
680	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
681	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
682	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
683	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
684	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
685	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
686	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
687	C₁₃×C₂²⋊C₄	—	2	1	no	—
688	C₁₃×C₂²⋊C₄	—	2	1	no	—
689	C₁₃×C₂²⋊C₄	—	2	1	no	—
690	C₁₃×C₂²⋊C₄	—	2	1	no	—
691	C₁₃×C₂²⋊C₄	—	2	1	no	—
692	C₁₃×C₂²⋊C₄	—	2	1	no	—
693	C₁₃×C₂²⋊C₄	—	2	1	no	—
694	C₁₃×C₂²⋊C₄	—	2	1	no	—
695	C₁₃×C₂²⋊C₄	—	2	1	no	—
696	C₁₃×C₂²⋊C₄	—	2	1	no	—
697	C₁₃×C₂²⋊C₄	—	2	1	no	—
698	C₁₃×C₂²⋊C₄	—	2	1	no	—
699	C₁₃×C₂²⋊C₄	—	2	1	no	—
700	C₁₃×C₂²⋊C₄	—	2	1	no	—
701	C₁₃×C₂²⋊C₄	—	2	1	no	—
702	C₁₃×C₂²⋊C₄	—	2	1	no	—
703	C₁₃×C₂²⋊C₄	—	2	1	no	—
704	C₁₃×C₂²⋊C₄	—	2	1	no	—
705	C₁₃×C₂²⋊C₄	—	2	1	no	—
706	C₁₃×C₂²⋊C₄	—	2	1	no	—
707	C₁₃×C₂²⋊C₄	—	2	1	no	—
708	C₁₃×C₂²⋊C₄	—	2	1	no	—
709	C₁₃×C₂²⋊C₄	—	2	1	no	—
710	C₁₃×C₂²⋊C₄	—	2	1	no	—
711	C₁₃×C₂²⋊C₄	—	2	1	no	—
712	C₁₃×C₂²⋊C₄	—	2	1	no	—
713	C₁₃×C₂²⋊C₄	—	2	1	no	—
714	C₁₃×C₂²⋊C₄	—	2	1	no	—
715	C₁₃×C₂²⋊C₄	—	2	1	no	—
716	C₁₃×C₂²⋊C₄	—	2	1	no	—
717	C₁₃×C₂²⋊C₄	—	2	1	no	—
718	C₁₃×C₂²⋊C₄	—	2	1	no	—
719	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
720	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
721	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
722	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
723	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
724	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
725	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
726	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
727	C₄²×C₁₃	—	2	1	no	—
728	C₄²×C₁₃	—	2	1	no	—
729	C₄²×C₁₃	—	2	1	no	—
730	C₄²×C₁₃	—	2	1	no	—
731	C₄²×C₁₃	—	2	1	no	—
732	C₄²×C₁₃	—	2	1	no	—
733	C₄²×C₁₃	—	2	1	no	—
734	C₄²×C₁₃	—	2	1	no	—
735	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
736	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
737	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
738	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
739	#3520	C₂×C₁₃	1	1	yes	characteristic, complemented
740	D₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
741	#3317	C₂×C₁₃	1	1	yes	characteristic, complemented
742	#3315	C₂×C₁₃	1	1	yes	characteristic, complemented
743	#3313	C₂×C₁₃	1	1	yes	characteristic, complemented
744	#3312	C₂×C₁₃	1	1	yes	characteristic, complemented
745	#3311	C₂×C₁₃	1	1	yes	characteristic, complemented
746	#3310	C₂×C₁₃	1	1	yes	characteristic, complemented
747	#3308	C₂×C₁₃	1	1	yes	characteristic, complemented
748	#3306	C₂×C₁₃	1	1	yes	characteristic, complemented
749	#3271	C₂×C₁₃	1	1	yes	characteristic, complemented
750	#3270	C₂×C₁₃	1	1	yes	characteristic, complemented
751	#3270	C₂×C₁₃	1	1	yes	characteristic, complemented
752	#3269	C₂×C₁₃	1	1	yes	characteristic, complemented
753	#3269	C₂×C₁₃	1	1	yes	characteristic, complemented
754	#3267	C₂×C₁₃	1	1	yes	characteristic, complemented
755	#3266	C₂×C₁₃	1	1	yes	characteristic, complemented
756	#3265	C₂×C₁₃	1	1	yes	characteristic, complemented
757	#3219	C₂×C₁₃	1	1	yes	characteristic, complemented
758	#3216	C₂×C₁₃	1	1	yes	characteristic, complemented
759	#3197	C₂×C₁₃	1	1	yes	characteristic, complemented
760	#3196	C₂×C₁₃	1	1	yes	characteristic, complemented
761	#3191	C₂×C₁₃	1	1	yes	characteristic, complemented
762	#3190	C₂×C₁₃	1	1	yes	characteristic, complemented
763	#3116	C₂×C₁₃	1	1	yes	characteristic, complemented
764	#3111	C₂×C₁₃	1	1	yes	characteristic, complemented
765	#3007	C₂×C₁₃	1	1	yes	characteristic, complemented
766	#3005	C₂×C₁₃	1	1	yes	characteristic, complemented
767	#3002	C₂×C₁₃	1	1	yes	characteristic, complemented
768	C₂×#452	C₂×C₁₃	1	1	yes	characteristic, complemented
769	#2973	C₂×C₁₃	1	1	yes	characteristic, complemented
770	C₂³×C₁₃	—	2	1	no	—
771	C₂³×C₁₃	—	2	2	no	—
772	C₂³×C₁₃	—	2	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	2	1	no	—
775	C₂³×C₁₃	—	4	1	no	—
776	C₂³×C₁₃	—	4	1	no	—
777	C₂³×C₁₃	—	4	1	no	—
778	C₂³×C₁₃	—	4	1	no	—
779	C₂³×C₁₃	—	4	1	no	—
780	C₂³×C₁₃	—	4	2	no	—
781	C₂³×C₁₃	—	4	2	no	—
782	C₂³×C₁₃	—	4	2	no	—
783	C₂³×C₁₃	—	4	2	no	—
784	C₂³×C₁₃	—	8	1	no	—
785	C₂³×C₁₃	—	8	1	no	—
786	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
791	Q₈×C₁₃	—	2	1	no	—
792	Q₈×C₁₃	—	2	1	no	—
793	Q₈×C₁₃	—	2	1	no	—
794	Q₈×C₁₃	—	2	1	no	—
795	Q₈×C₁₃	—	2	1	no	—
796	Q₈×C₁₃	—	2	1	no	—
797	Q₈×C₁₃	—	2	1	no	—
798	Q₈×C₁₃	—	2	1	no	—
799	Q₈×C₁₃	—	2	1	no	—
800	Q₈×C₁₃	—	2	1	no	—
801	Q₈×C₁₃	—	2	1	no	—
802	Q₈×C₁₃	—	4	2	no	—
803	Q₈×C₁₃	—	4	2	no	—
804	Q₈×C₁₃	—	4	2	no	—
805	Q₈×C₁₃	—	8	1	no	—
806	Q₈×C₁₃	—	8	1	no	—
807	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
808	D₄×C₁₃	—	2	4	no	—
809	D₄×C₁₃	—	2	2	no	—
810	D₄×C₁₃	—	2	2	no	—
811	D₄×C₁₃	—	2	1	no	—
812	D₄×C₁₃	—	2	1	no	—
813	D₄×C₁₃	—	2	1	no	—
814	D₄×C₁₃	—	2	1	no	—
815	D₄×C₁₃	—	2	1	no	—
816	D₄×C₁₃	—	2	1	no	—
817	D₄×C₁₃	—	2	1	no	—
818	D₄×C₁₃	—	4	1	no	—
819	D₄×C₁₃	—	4	1	no	—
820	D₄×C₁₃	—	4	2	no	—
821	D₄×C₁₃	—	4	2	no	—
822	D₄×C₁₃	—	4	2	no	—
823	D₄×C₁₃	—	4	2	no	—
824	D₄×C₁₃	—	4	2	no	—
825	D₄×C₁₃	—	4	2	no	—
826	D₄×C₁₃	—	4	2	no	—
827	D₄×C₁₃	—	4	2	no	—
828	D₄×C₁₃	—	4	2	no	—
829	D₄×C₁₃	—	4	2	no	—
830	D₄×C₁₃	—	4	2	no	—
831	D₄×C₁₃	—	4	2	no	—
832	D₄×C₁₃	—	4	2	no	—
833	D₄×C₁₃	—	4	2	no	—
834	D₄×C₁₃	—	8	1	no	—
835	D₄×C₁₃	—	8	1	no	—
836	D₄×C₁₃	—	8	1	no	—
837	D₄×C₁₃	—	8	1	no	—
838	D₄×C₁₃	—	8	1	no	—
839	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
840	C₂×C₄×C₁₃	—	2	4	no	—
841	C₂×C₄×C₁₃	—	2	1	no	—
842	C₂×C₄×C₁₃	—	2	1	no	—
843	C₂×C₄×C₁₃	—	2	1	no	—
844	C₂×C₄×C₁₃	—	2	1	no	—
845	C₂×C₄×C₁₃	—	2	1	no	—
846	C₂×C₄×C₁₃	—	2	1	no	—
847	C₂×C₄×C₁₃	—	2	1	no	—
848	C₂×C₄×C₁₃	—	2	1	no	—
849	C₂×C₄×C₁₃	—	2	1	no	—
850	C₂×C₄×C₁₃	—	2	1	no	—
851	C₂×C₄×C₁₃	—	2	1	no	—
852	C₂×C₄×C₁₃	—	2	1	no	—
853	C₂×C₄×C₁₃	—	2	1	no	—
854	C₂×C₄×C₁₃	—	2	1	no	—
855	C₂×C₄×C₁₃	—	2	1	no	—
856	C₂×C₄×C₁₃	—	2	1	no	—
857	C₂×C₄×C₁₃	—	2	1	no	—
858	C₂×C₄×C₁₃	—	2	1	no	—
859	C₂×C₄×C₁₃	—	2	1	no	—
860	C₂×C₄×C₁₃	—	2	1	no	—
861	C₂×C₄×C₁₃	—	2	1	no	—
862	C₂×C₄×C₁₃	—	2	1	no	—
863	C₂×C₄×C₁₃	—	4	1	no	—
864	C₂×C₄×C₁₃	—	4	1	no	—
865	C₂×C₄×C₁₃	—	4	1	no	—
866	C₂×C₄×C₁₃	—	4	1	no	—
867	C₂×C₄×C₁₃	—	4	1	no	—
868	C₂×C₄×C₁₃	—	4	1	no	—
869	C₂×C₄×C₁₃	—	4	1	no	—
870	C₂×C₄×C₁₃	—	4	1	no	—
871	C₂×C₄×C₁₃	—	4	2	no	—
872	C₂×C₄×C₁₃	—	4	2	no	—
873	C₂×C₄×C₁₃	—	4	2	no	—
874	C₂×C₄×C₁₃	—	4	2	no	—
875	C₂×C₄×C₁₃	—	4	2	no	—
876	C₂×C₄×C₁₃	—	4	2	no	—
877	C₂×C₄×C₁₃	—	4	2	no	—
878	C₂×C₄×C₁₃	—	4	2	no	—
879	C₂×C₄×C₁₃	—	4	2	no	—
880	C₂×C₄×C₁₃	—	4	2	no	—
881	C₂×C₄×C₁₃	—	4	2	no	—
882	C₂×C₄×C₁₃	—	4	2	no	—
883	C₂×C₄×C₁₃	—	8	1	no	—
884	C₂×C₄×C₁₃	—	8	1	no	—
885	C₂×C₄×C₁₃	—	8	1	no	—
886	C₂×C₄×C₁₃	—	8	1	no	—
887	C₂×C₄×C₁₃	—	8	1	no	—
888	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
889	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
890	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
891	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
892	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
893	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
894	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
895	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
896	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
897	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
898	C₈×C₁₃	—	2	1	no	—
899	C₈×C₁₃	—	2	1	no	—
900	C₈×C₁₃	—	2	1	no	—
901	C₈×C₁₃	—	2	1	no	—
902	C₈×C₁₃	—	2	1	no	—
903	C₈×C₁₃	—	2	1	no	—
904	C₈×C₁₃	—	2	1	no	—
905	C₈×C₁₃	—	2	1	no	—
906	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
907	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
908	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
909	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
910	C₂×#137	C₂²×C₁₃	1	1	yes	characteristic, complemented
911	C₂×AGL(1,ℤ/8)	C₂²×C₁₃	1	1	yes	characteristic, complemented
912	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
913	C₂×#135	C₂²×C₁₃	1	1	yes	characteristic, complemented
914	C₂²×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
915	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
916	#556	C₂²×C₁₃	1	1	yes	characteristic, complemented
917	#554	—	2	1	no	—
918	#552	C₂²×C₁₃	1	1	yes	characteristic
919	#552	C₂²×C₁₃	1	1	yes	characteristic, complemented
920	#551	—	2	1	no	—
921	#551	—	2	1	no	—
922	#550	C₂²×C₁₃	1	1	yes	characteristic
923	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
924	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
925	#548	C₂²×C₁₃	1	1	yes	characteristic
926	#548	C₂²×C₁₃	1	1	yes	characteristic
927	#548	C₂²×C₁₃	1	1	yes	characteristic
928	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
929	#547	—	2	1	no	—
930	#547	C₂²×C₁₃	1	1	yes	characteristic
931	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
932	#547	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	#546	—	2	1	no	—
934	#546	—	2	1	no	—
935	#546	—	2	1	no	—
936	#546	C₂²×C₁₃	1	1	yes	characteristic
937	#546	C₂²×C₁₃	1	1	yes	characteristic
938	D₄²	—	2	1	no	—
939	D₄²	C₂²×C₁₃	1	1	yes	characteristic
940	#542	—	2	1	no	—
941	#539	—	2	1	no	—
942	#539	—	2	1	no	—
943	#533	C₂²×C₁₃	1	1	yes	characteristic, complemented
944	#532	—	2	1	no	—
945	#532	C₂²×C₁₃	1	1	yes	characteristic
946	#529	C₂²×C₁₃	1	1	yes	characteristic, complemented
947	#525	—	2	1	no	—
948	#525	—	2	1	no	—
949	#525	C₂²×C₁₃	1	1	yes	characteristic
950	#525	C₂²×C₁₃	1	1	yes	characteristic
951	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
952	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
953	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
954	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
955	#520	—	2	1	no	—
956	C₄×#41	C₂²×C₁₃	1	1	yes	characteristic
957	C₂×C₄×D₄	—	2	1	no	—
958	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
959	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
962	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
963	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
964	#490	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
967	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
968	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
969	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
970	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
971	#485	C₂²×C₁₃	1	1	yes	characteristic, complemented
972	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
973	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
975	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	#481	C₂²×C₁₃	1	1	yes	characteristic, complemented
978	#480	C₂²×C₁₃	1	1	yes	characteristic, complemented
979	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
980	#478	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	#476	C₂²×C₁₃	1	1	yes	characteristic, complemented
983	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
984	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
985	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
986	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
987	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
988	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
989	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
990	#468	C₂²×C₁₃	1	1	yes	characteristic, complemented
991	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
992	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
993	#467	C₂²×C₁₃	1	1	yes	characteristic, complemented
994	#466	C₂²×C₁₃	1	1	yes	characteristic, complemented
995	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
996	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
997	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
998	#465	C₂²×C₁₃	1	1	yes	characteristic, complemented
999	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
1000	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
1001	#464	C₂²×C₁₃	1	1	yes	characteristic, complemented
1002	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
1003	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
1004	#463	C₂²×C₁₃	1	1	yes	characteristic, complemented
1005	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
1006	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
1007	#462	C₂²×C₁₃	1	1	yes	characteristic, complemented
1008	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
1009	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
1010	#460	C₂²×C₁₃	1	1	yes	characteristic, complemented
1011	#452	C₂²×C₁₃	1	1	yes	characteristic
1012	#452	C₂²×C₁₃	1	1	yes	characteristic
1013	#452	C₂²×C₁₃	1	1	yes	characteristic
1014	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1015	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1016	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1017	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1018	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1019	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1020	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1021	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1022	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1023	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1024	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1025	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1026	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1027	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1028	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1029	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1030	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1031	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1032	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1033	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1034	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1035	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1036	#449	C₂²×C₁₃	1	1	yes	characteristic
1037	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1038	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1039	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1040	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1041	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1042	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1043	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1044	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1045	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1046	#447	C₂²×C₁₃	1	1	yes	characteristic, complemented
1047	#442	C₂²×C₁₃	1	1	yes	characteristic, complemented
1048	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
1049	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
1050	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
1051	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1052	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1053	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1054	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1055	#435	C₂²×C₁₃	1	1	yes	characteristic
1056	#435	C₂²×C₁₃	1	1	yes	characteristic
1057	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1058	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1059	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1060	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1061	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1062	#435	C₂²×C₁₃	1	1	yes	characteristic, complemented
1063	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
1064	#432	C₂²×C₁₃	1	1	yes	characteristic, complemented
1065	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
1066	#418	C₂²×C₁₃	1	1	yes	characteristic, complemented
1067	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1068	#417	C₂²×C₁₃	1	1	yes	characteristic, complemented
1069	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
1070	#416	C₂²×C₁₃	1	1	yes	characteristic, complemented
1071	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
1072	C₂×#102	C₂²×C₁₃	1	1	yes	characteristic, complemented
1073	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
1074	#407	C₂²×C₁₃	1	1	yes	characteristic, complemented
1075	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1076	C₂×C₂²⋊C₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
1077	C₂²×C₁₃	—	2	1	no	—
1078	C₂²×C₁₃	—	2	1	no	—
1079	C₂²×C₁₃	—	2	1	no	—
1080	C₂²×C₁₃	—	2	1	no	—
1081	C₂²×C₁₃	—	2	1	no	—
1082	C₂²×C₁₃	—	2	1	no	—
1083	C₂²×C₁₃	—	2	1	no	—
1084	C₂²×C₁₃	—	2	1	no	—
1085	C₂²×C₁₃	—	2	2	no	—
1086	C₂²×C₁₃	—	2	1	no	—
1087	C₂²×C₁₃	—	2	1	no	—
1088	C₂²×C₁₃	—	2	1	no	—
1089	C₂²×C₁₃	—	2	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	2	1	no	—
1092	C₂²×C₁₃	—	4	1	no	—
1093	C₂²×C₁₃	—	4	1	no	—
1094	C₂²×C₁₃	—	4	1	no	—
1095	C₂²×C₁₃	—	4	1	no	—
1096	C₂²×C₁₃	—	4	1	no	—
1097	C₂²×C₁₃	—	4	1	no	—
1098	C₂²×C₁₃	—	4	1	no	—
1099	C₂²×C₁₃	—	4	1	no	—
1100	C₂²×C₁₃	—	4	1	no	—
1101	C₂²×C₁₃	—	4	1	no	—
1102	C₂²×C₁₃	—	4	1	no	—
1103	C₂²×C₁₃	—	8	2	no	—
1104	C₂²×C₁₃	—	8	4	no	—
1105	C₂²×C₁₃	—	8	2	no	—
1106	C₂²×C₁₃	—	8	4	no	—
1107	C₂²×C₁₃	#575	1	2	yes	—
1108	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1109	C₄×C₁₃	—	2	1	no	—
1110	C₄×C₁₃	—	2	1	no	—
1111	C₄×C₁₃	—	2	1	no	—
1112	C₄×C₁₃	—	2	2	no	—
1113	C₄×C₁₃	—	2	1	no	—
1114	C₄×C₁₃	—	2	1	no	—
1115	C₄×C₁₃	—	2	1	no	—
1116	C₄×C₁₃	—	2	1	no	—
1117	C₄×C₁₃	—	2	1	no	—
1118	C₄×C₁₃	—	2	1	no	—
1119	C₄×C₁₃	—	4	1	no	—
1120	C₄×C₁₃	—	4	1	no	—
1121	C₄×C₁₃	—	4	1	no	—
1122	C₄×C₁₃	—	4	1	no	—
1123	C₄×C₁₃	—	4	1	no	—
1124	C₄×C₁₃	—	4	1	no	—
1125	C₄×C₁₃	—	4	1	no	—
1126	C₄×C₁₃	—	4	1	no	—
1127	C₄×C₁₃	—	4	1	no	—
1128	C₄×C₁₃	—	4	1	no	—
1129	C₄×C₁₃	—	4	1	no	—
1130	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1131	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1132	C₂×#41	—	2	1	no	—
1133	C₂×#41	—	2	1	no	—
1134	C₂×#41	—	2	1	no	—
1135	C₂×#41	—	2	1	no	—
1136	C₂×#41	—	2	1	no	—
1137	C₂×#41	—	4	2	no	—
1138	C₂×#41	—	4	2	no	—
1139	C₂×#41	—	4	2	no	—
1140	C₂×#41	—	4	2	no	—
1141	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1142	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1143	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1144	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1145	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1146	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1147	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1148	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1149	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1150	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1151	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1152	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1153	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1154	C₂²×D₄	—	2	1	no	—
1155	C₂²×D₄	—	2	1	no	—
1156	C₂²×D₄	—	2	1	no	—
1157	C₂²×D₄	D₄×C₁₃	1	1	yes	characteristic
1158	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1159	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1160	C₂³×C₄	—	2	1	no	—
1161	C₂³×C₄	—	2	1	no	—
1162	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1163	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1164	#137	—	4	2	no	—
1165	#137	—	4	2	no	—
1166	#137	—	4	2	no	—
1167	AGL(1,ℤ/8)	—	4	2	no	—
1168	#135	—	4	2	no	—
1169	#135	—	4	2	no	—
1170	C₂×Q₁₆	—	4	2	no	—
1171	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1172	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1173	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1174	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1175	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1176	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1177	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1178	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1179	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1180	C₂×SD₁₆	—	4	2	no	—
1181	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1182	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1183	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1184	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1185	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1186	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1187	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1188	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1189	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1190	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1191	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1192	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1193	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1194	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1195	C₂×D₈	C₂³×C₁₃	1	1	yes	characteristic
1196	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1197	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1198	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1199	C₂×M₁₆	C₂³×C₁₃	1	1	yes	characteristic
1200	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1201	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1202	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1203	C₂²×C₈	C₂³×C₁₃	1	1	yes	characteristic
1204	C₄⋊Q₈	—	2	1	no	—
1205	C₄⋊Q₈	—	2	1	no	—
1206	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1207	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1208	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1209	#127	—	2	1	no	—
1210	#127	C₂³×C₁₃	1	1	yes	characteristic
1211	#126	—	2	1	no	—
1212	#126	—	2	1	no	—
1213	#126	—	2	1	no	—
1214	#126	—	2	1	no	—
1215	#126	—	2	1	no	—
1216	#125	—	2	1	no	—
1217	#125	—	2	1	no	—
1218	#125	—	2	1	no	—
1219	#125	C₂³×C₁₃	1	1	yes	characteristic
1220	#124	—	2	1	no	—
1221	#124	—	2	1	no	—
1222	#124	—	2	1	no	—
1223	#124	—	2	1	no	—
1224	#124	—	2	1	no	—
1225	#124	C₂³×C₁₃	1	1	yes	characteristic
1226	#124	C₂³×C₁₃	1	1	yes	characteristic
1227	#124	C₂³×C₁₃	1	1	yes	characteristic
1228	#123	—	2	1	no	—
1229	#123	—	2	1	no	—
1230	#123	—	2	1	no	—
1231	#123	—	2	1	no	—
1232	#123	—	2	1	no	—
1233	#123	—	2	1	no	—
1234	#123	—	2	1	no	—
1235	#123	—	2	1	no	—
1236	#123	—	2	1	no	—
1237	#123	—	2	1	no	—
1238	#123	—	2	1	no	—
1239	#123	—	2	1	no	—
1240	#123	—	2	1	no	—
1241	#123	—	2	1	no	—
1242	#123	—	2	1	no	—
1243	C₂²⋊Q₈	—	2	1	no	—
1244	C₂²⋊Q₈	—	2	1	no	—
1245	C₂²⋊Q₈	—	2	1	no	—
1246	C₂²⋊Q₈	—	2	1	no	—
1247	C₂²⋊Q₈	—	2	1	no	—
1248	C₂²⋊Q₈	—	2	1	no	—
1249	C₂²⋊Q₈	—	2	1	no	—
1250	C₂²⋊Q₈	—	2	1	no	—
1251	C₂²⋊Q₈	—	2	1	no	—
1252	C₂²⋊Q₈	—	2	1	no	—
1253	C₂²⋊Q₈	—	2	1	no	—
1254	C₂²⋊Q₈	—	2	1	no	—
1255	C₂²⋊Q₈	—	2	1	no	—
1256	C₂²⋊Q₈	—	2	1	no	—
1257	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1258	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1259	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1260	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1261	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1262	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1263	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1264	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1265	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1266	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1267	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1268	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1269	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1270	#121	—	2	1	no	—
1271	#121	—	2	1	no	—
1272	#121	—	2	1	no	—
1273	#121	—	2	1	no	—
1274	#121	—	2	1	no	—
1275	#121	—	2	1	no	—
1276	#121	—	2	1	no	—
1277	#121	—	2	1	no	—
1278	#121	—	2	1	no	—
1279	#121	—	2	1	no	—
1280	#121	—	2	1	no	—
1281	#121	—	2	1	no	—
1282	#121	—	2	1	no	—
1283	#121	C₂³×C₁₃	1	1	yes	characteristic
1284	#121	C₂³×C₁₃	1	1	yes	characteristic
1285	#121	C₂³×C₁₃	1	1	yes	characteristic
1286	#121	C₂³×C₁₃	1	1	yes	characteristic
1287	#121	C₂³×C₁₃	1	1	yes	characteristic
1288	#121	C₂³×C₁₃	1	1	yes	characteristic
1289	#121	C₂³×C₁₃	1	1	yes	characteristic
1290	#120	—	2	1	no	—
1291	#120	—	2	1	no	—
1292	#120	—	2	1	no	—
1293	#120	—	2	1	no	—
1294	#120	—	2	1	no	—
1295	#120	—	2	1	no	—
1296	#120	—	2	1	no	—
1297	#120	—	2	1	no	—
1298	C₄×Q₈	—	2	1	no	—
1299	C₄×Q₈	—	2	1	no	—
1300	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1301	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1302	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1303	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1304	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1305	C₄×D₄	—	2	1	no	—
1306	C₄×D₄	—	2	1	no	—
1307	C₄×D₄	—	2	1	no	—
1308	C₄×D₄	—	2	1	no	—
1309	C₄×D₄	—	2	1	no	—
1310	C₄×D₄	—	2	1	no	—
1311	C₄×D₄	—	2	1	no	—
1312	C₄×D₄	—	2	1	no	—
1313	C₄×D₄	—	2	1	no	—
1314	C₄×D₄	—	2	1	no	—
1315	C₄×D₄	—	2	1	no	—
1316	C₄×D₄	—	2	1	no	—
1317	C₄×D₄	—	2	1	no	—
1318	C₄×D₄	—	2	1	no	—
1319	C₄×D₄	—	2	1	no	—
1320	C₄×D₄	—	2	1	no	—
1321	C₄×D₄	—	2	1	no	—
1322	C₄×D₄	—	2	1	no	—
1323	C₄×D₄	—	2	1	no	—
1324	C₄×D₄	—	2	1	no	—
1325	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1326	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1327	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1328	C₄×D₄	D₄×C₁₃	1	1	yes	characteristic
1329	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1330	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1331	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1332	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1333	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1334	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1335	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1336	#117	—	2	1	no	—
1337	#117	—	2	1	no	—
1338	#117	—	2	1	no	—
1339	#117	—	2	1	no	—
1340	#117	—	2	1	no	—
1341	#117	C₂³×C₁₃	1	1	yes	characteristic
1342	#117	C₂³×C₁₃	1	1	yes	characteristic
1343	#117	C₂³×C₁₃	1	1	yes	characteristic
1344	C₂×C₄⋊C₄	—	2	1	no	—
1345	C₂×C₄⋊C₄	—	2	1	no	—
1346	C₂×C₄⋊C₄	—	2	1	no	—
1347	C₂×C₄⋊C₄	—	2	1	no	—
1348	C₂×C₄⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1349	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1350	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1351	C₂×C₂²⋊C₄	—	2	1	no	—
1352	C₂×C₂²⋊C₄	—	2	1	no	—
1353	C₂×C₂²⋊C₄	—	2	1	no	—
1354	C₂×C₂²⋊C₄	—	2	1	no	—
1355	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1356	C₂×C₂²⋊C₄	D₄×C₁₃	1	1	yes	characteristic
1357	C₂×C₄²	—	2	1	no	—
1358	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1359	#107	C₂³×C₁₃	1	1	yes	characteristic
1360	#107	C₂³×C₁₃	1	1	yes	characteristic
1361	#107	C₂³×C₁₃	1	1	yes	characteristic
1362	#107	C₂³×C₁₃	1	1	yes	characteristic
1363	#106	C₂³×C₁₃	1	1	yes	characteristic
1364	#106	C₂³×C₁₃	1	1	yes	characteristic
1365	#106	C₂³×C₁₃	1	1	yes	characteristic
1366	#106	C₂³×C₁₃	1	1	yes	characteristic
1367	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1368	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1369	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1370	C₄⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1371	#103	C₂³×C₁₃	1	1	yes	characteristic
1372	#103	C₂³×C₁₃	1	1	yes	characteristic
1373	#103	C₂³×C₁₃	1	1	yes	characteristic
1374	#103	C₂³×C₁₃	1	1	yes	characteristic
1375	#103	C₂³×C₁₃	1	1	yes	characteristic
1376	#103	C₂³×C₁₃	1	1	yes	characteristic
1377	#103	C₂³×C₁₃	1	1	yes	characteristic
1378	#103	C₂³×C₁₃	1	1	yes	characteristic
1379	#103	C₂³×C₁₃	1	1	yes	characteristic
1380	#103	C₂³×C₁₃	1	1	yes	characteristic
1381	#103	C₂³×C₁₃	1	1	yes	characteristic
1382	#103	C₂³×C₁₃	1	1	yes	characteristic
1383	#103	C₂³×C₁₃	1	1	yes	characteristic
1384	#103	C₂³×C₁₃	1	1	yes	characteristic
1385	#103	C₂³×C₁₃	1	1	yes	characteristic
1386	#103	C₂³×C₁₃	1	1	yes	characteristic
1387	#103	C₂³×C₁₃	1	1	yes	characteristic
1388	#103	C₂³×C₁₃	1	1	yes	characteristic
1389	#102	C₂³×C₁₃	1	1	yes	characteristic
1390	#102	C₂³×C₁₃	1	1	yes	characteristic
1391	#102	C₂³×C₁₃	1	1	yes	characteristic
1392	#102	C₂³×C₁₃	1	1	yes	characteristic
1393	#102	C₂³×C₁₃	1	1	yes	characteristic
1394	#102	C₂³×C₁₃	1	1	yes	characteristic
1395	#102	C₂³×C₁₃	1	1	yes	characteristic
1396	#102	C₂³×C₁₃	1	1	yes	characteristic
1397	#102	C₂³×C₁₃	1	1	yes	characteristic
1398	#102	C₂³×C₁₃	1	1	yes	characteristic
1399	#102	C₂³×C₁₃	1	1	yes	characteristic
1400	#102	C₂³×C₁₃	1	1	yes	characteristic
1401	#102	C₂³×C₁₃	1	1	yes	characteristic
1402	#102	C₂³×C₁₃	1	1	yes	characteristic
1403	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1404	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1405	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1406	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1407	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1408	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1409	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1410	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1411	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1412	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1413	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1414	C₂²⋊C₈	C₂³×C₁₃	1	1	yes	characteristic
1415	#97	C₂³×C₁₃	1	1	yes	characteristic
1416	#97	C₂³×C₁₃	1	1	yes	characteristic
1417	#97	C₂³×C₁₃	1	1	yes	characteristic
1418	#97	C₂³×C₁₃	1	1	yes	characteristic
1419	C₂×C₁₃	—	2	2	no	—
1420	C₂×C₁₃	—	4	1	no	—
1421	C₂×C₁₃	—	4	1	no	—
1422	C₂×C₁₃	—	4	1	no	—
1423	C₂×C₁₃	—	4	1	no	—
1424	C₂×C₁₃	—	4	2	no	—
1425	C₂×C₁₃	—	8	1	no	—
1426	C₂×C₁₃	—	8	1	no	—
1427	C₂×C₁₃	—	8	1	no	—
1428	C₂×C₁₃	#3484	1	1	yes	characteristic
1429	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1430	C₂×C₁₃	#3586	1	1	yes	characteristic
1431	C₂⁴	—	2	1	no	—
1432	C₂⁴	—	2	1	no	—
1433	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1434	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1435	#41	—	2	2	no	—
1436	#41	—	2	2	no	—
1437	#41	—	2	2	no	—
1438	#41	—	2	2	no	—
1439	#41	—	2	2	no	—
1440	#41	—	2	2	no	—
1441	#41	—	4	1	no	—
1442	#41	—	4	1	no	—
1443	#41	—	4	1	no	—
1444	#41	—	4	1	no	—
1445	#41	—	4	1	no	—
1446	#41	—	4	1	no	—
1447	#41	—	4	1	no	—
1448	#41	—	4	1	no	—
1449	#41	—	4	4	no	—
1450	#41	—	4	4	no	—
1451	#41	—	4	1	no	—
1452	#41	—	4	1	no	—
1453	#41	—	4	1	no	—
1454	#41	—	4	1	no	—
1455	#41	—	4	4	no	—
1456	#41	—	4	4	no	—
1457	#41	—	4	4	no	—
1458	C₂×Q₈	—	2	1	no	—
1459	C₂×Q₈	—	2	1	no	—
1460	C₂×Q₈	—	2	1	no	—
1461	C₂×Q₈	—	2	1	no	—
1462	C₂×Q₈	—	2	1	no	—
1463	C₂×Q₈	—	2	2	no	—
1464	C₂×Q₈	—	2	2	no	—
1465	C₂×Q₈	—	4	1	no	—
1466	C₂×Q₈	—	4	1	no	—
1467	C₂×Q₈	—	4	1	no	—
1468	C₂×Q₈	—	4	1	no	—
1469	C₂×Q₈	—	4	1	no	—
1470	C₂×Q₈	—	4	1	no	—
1471	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1472	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1473	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1474	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1475	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1476	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1477	C₂×D₄	—	2	1	no	—
1478	C₂×D₄	—	2	2	no	—
1479	C₂×D₄	—	2	2	no	—
1480	C₂×D₄	—	2	1	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	2	1	no	—
1483	C₂×D₄	—	2	1	no	—
1484	C₂×D₄	—	2	1	no	—
1485	C₂×D₄	—	2	1	no	—
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	4	1	no	—
1500	C₂×D₄	—	4	1	no	—
1501	C₂×D₄	—	4	2	no	—
1502	C₂×D₄	—	4	4	no	—
1503	C₂×D₄	—	4	4	no	—
1504	C₂×D₄	—	4	4	no	—
1505	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1506	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1507	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1508	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1509	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1510	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1511	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1512	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1513	C₂²×C₄	—	2	1	no	—
1514	C₂²×C₄	—	2	1	no	—
1515	C₂²×C₄	—	2	1	no	—
1516	C₂²×C₄	—	2	1	no	—
1517	C₂²×C₄	—	2	1	no	—
1518	C₂²×C₄	—	2	1	no	—
1519	C₂²×C₄	—	2	1	no	—
1520	C₂²×C₄	—	2	1	no	—
1521	C₂²×C₄	—	2	1	no	—
1522	C₂²×C₄	—	2	1	no	—
1523	C₂²×C₄	—	2	1	no	—
1524	C₂²×C₄	—	2	1	no	—
1525	C₂²×C₄	—	2	1	no	—
1526	C₂²×C₄	—	2	1	no	—
1527	C₂²×C₄	—	2	1	no	—
1528	C₂²×C₄	—	2	1	no	—
1529	C₂²×C₄	—	2	1	no	—
1530	C₂²×C₄	—	2	1	no	—
1531	C₂²×C₄	—	4	1	no	—
1532	C₂²×C₄	—	4	1	no	—
1533	C₂²×C₄	—	4	1	no	—
1534	C₂²×C₄	—	4	1	no	—
1535	C₂²×C₄	—	4	4	no	—
1536	C₂²×C₄	—	4	4	no	—
1537	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1538	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1539	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1540	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1541	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1542	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1543	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1544	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1545	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1546	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1547	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1548	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1549	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1550	Q₁₆	—	2	2	no	—
1551	Q₁₆	—	2	2	no	—
1552	Q₁₆	—	2	2	no	—
1553	Q₁₆	—	4	1	no	—
1554	Q₁₆	—	4	1	no	—
1555	Q₁₆	—	4	1	no	—
1556	Q₁₆	—	4	1	no	—
1557	Q₁₆	—	4	1	no	—
1558	Q₁₆	—	4	1	no	—
1559	SD₁₆	—	2	2	no	—
1560	SD₁₆	—	2	2	no	—
1561	SD₁₆	—	2	2	no	—
1562	SD₁₆	—	2	2	no	—
1563	SD₁₆	—	4	1	no	—
1564	SD₁₆	—	4	1	no	—
1565	SD₁₆	—	4	1	no	—
1566	SD₁₆	—	4	1	no	—
1567	SD₁₆	—	4	1	no	—
1568	SD₁₆	—	4	1	no	—
1569	SD₁₆	—	4	1	no	—
1570	SD₁₆	—	4	1	no	—
1571	D₈	—	2	2	no	—
1572	D₈	—	4	1	no	—
1573	D₈	—	4	1	no	—
1574	M₁₆	—	4	1	no	—
1575	M₁₆	—	4	1	no	—
1576	M₁₆	—	4	1	no	—
1577	M₁₆	—	4	1	no	—
1578	C₂×C₈	—	4	1	no	—
1579	C₂×C₈	—	4	1	no	—
1580	C₂×C₈	—	4	1	no	—
1581	C₂×C₈	—	4	1	no	—
1582	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1583	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1584	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1585	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1586	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1587	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1588	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1589	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
1590	C₄⋊C₄	—	2	1	no	—
1591	C₄⋊C₄	—	2	1	no	—
1592	C₄⋊C₄	—	2	1	no	—
1593	C₄⋊C₄	—	2	1	no	—
1594	C₄⋊C₄	—	2	1	no	—
1595	C₄⋊C₄	—	2	1	no	—
1596	C₄⋊C₄	—	2	1	no	—
1597	C₄⋊C₄	—	2	1	no	—
1598	C₄⋊C₄	—	2	1	no	—
1599	C₄⋊C₄	—	2	1	no	—
1600	C₄⋊C₄	—	2	1	no	—
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	2	1	no	—
1603	C₄⋊C₄	—	2	1	no	—
1604	C₄⋊C₄	—	2	1	no	—
1605	C₄⋊C₄	—	2	1	no	—
1606	C₄⋊C₄	—	2	1	no	—
1607	C₄⋊C₄	—	2	1	no	—
1608	C₄⋊C₄	—	2	1	no	—
1609	C₄⋊C₄	—	2	1	no	—
1610	C₄⋊C₄	—	2	1	no	—
1611	C₄⋊C₄	—	2	1	no	—
1612	C₄⋊C₄	—	2	1	no	—
1613	C₄⋊C₄	—	2	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1618	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1619	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1620	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1621	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1622	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1623	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1624	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1625	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1626	C₄⋊C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1660	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1661	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1662	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1663	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1664	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1665	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1666	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1667	C₄²	—	2	1	no	—
1668	C₄²	—	2	1	no	—
1669	C₄²	—	2	1	no	—
1670	C₄²	—	2	1	no	—
1671	C₄²	—	2	1	no	—
1672	C₄²	—	2	1	no	—
1673	C₄²	—	2	1	no	—
1674	C₄²	—	2	1	no	—
1675	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1676	C₄²	C₂×D₄×C₁₃	1	1	yes	characteristic
1677	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1678	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1679	C₁₃	#61580	1	1	yes	characteristic, direct product factor, Sylow
1680	C₂³	—	2	1	no	—
1681	C₂³	—	2	2	no	—
1682	C₂³	—	2	1	no	—
1683	C₂³	—	2	1	no	—
1684	C₂³	—	2	1	no	—
1685	C₂³	—	4	1	no	—
1686	C₂³	—	4	1	no	—
1687	C₂³	—	4	1	no	—
1688	C₂³	—	4	1	no	—
1689	C₂³	—	4	1	no	—
1690	C₂³	—	4	2	no	—
1691	C₂³	—	4	2	no	—
1692	C₂³	—	4	2	no	—
1693	C₂³	—	4	2	no	—
1694	C₂³	—	8	1	no	—
1695	C₂³	—	8	1	no	—
1696	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1697	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1698	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1699	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1700	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	2	1	no	—
1704	Q₈	—	2	1	no	—
1705	Q₈	—	2	1	no	—
1706	Q₈	—	2	1	no	—
1707	Q₈	—	2	1	no	—
1708	Q₈	—	2	1	no	—
1709	Q₈	—	2	1	no	—
1710	Q₈	—	2	1	no	—
1711	Q₈	—	2	1	no	—
1712	Q₈	—	4	2	no	—
1713	Q₈	—	4	2	no	—
1714	Q₈	—	4	2	no	—
1715	Q₈	—	8	1	no	—
1716	Q₈	—	8	1	no	—
1717	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1718	D₄	—	2	4	no	—
1719	D₄	—	2	2	no	—
1720	D₄	—	2	2	no	—
1721	D₄	—	2	1	no	—
1722	D₄	—	2	1	no	—
1723	D₄	—	2	1	no	—
1724	D₄	—	2	1	no	—
1725	D₄	—	2	1	no	—
1726	D₄	—	2	1	no	—
1727	D₄	—	2	1	no	—
1728	D₄	—	4	1	no	—
1729	D₄	—	4	1	no	—
1730	D₄	—	4	2	no	—
1731	D₄	—	4	2	no	—
1732	D₄	—	4	2	no	—
1733	D₄	—	4	2	no	—
1734	D₄	—	4	2	no	—
1735	D₄	—	4	2	no	—
1736	D₄	—	4	2	no	—
1737	D₄	—	4	2	no	—
1738	D₄	—	4	2	no	—
1739	D₄	—	4	2	no	—
1740	D₄	—	4	2	no	—
1741	D₄	—	4	2	no	—
1742	D₄	—	4	2	no	—
1743	D₄	—	4	2	no	—
1744	D₄	—	8	1	no	—
1745	D₄	—	8	1	no	—
1746	D₄	—	8	1	no	—
1747	D₄	—	8	1	no	—
1748	D₄	—	8	1	no	—
1749	D₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1750	C₂×C₄	—	2	4	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	4	1	no	—
1774	C₂×C₄	—	4	1	no	—
1775	C₂×C₄	—	4	1	no	—
1776	C₂×C₄	—	4	1	no	—
1777	C₂×C₄	—	4	1	no	—
1778	C₂×C₄	—	4	1	no	—
1779	C₂×C₄	—	4	1	no	—
1780	C₂×C₄	—	4	1	no	—
1781	C₂×C₄	—	4	2	no	—
1782	C₂×C₄	—	4	2	no	—
1783	C₂×C₄	—	4	2	no	—
1784	C₂×C₄	—	4	2	no	—
1785	C₂×C₄	—	4	2	no	—
1786	C₂×C₄	—	4	2	no	—
1787	C₂×C₄	—	4	2	no	—
1788	C₂×C₄	—	4	2	no	—
1789	C₂×C₄	—	4	2	no	—
1790	C₂×C₄	—	4	2	no	—
1791	C₂×C₄	—	4	2	no	—
1792	C₂×C₄	—	4	2	no	—
1793	C₂×C₄	—	8	1	no	—
1794	C₂×C₄	—	8	1	no	—
1795	C₂×C₄	—	8	1	no	—
1796	C₂×C₄	—	8	1	no	—
1797	C₂×C₄	—	8	1	no	—
1798	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1799	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1800	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1801	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1802	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1803	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1804	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1805	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1806	C₂×C₄	C₂²×D₄×C₁₃	1	1	yes	characteristic
1807	C₂×C₄	C₂⁵×C₁₃	1	1	yes	characteristic
1808	C₈	—	2	1	no	—
1809	C₈	—	2	1	no	—
1810	C₈	—	2	1	no	—
1811	C₈	—	2	1	no	—
1812	C₈	—	2	1	no	—
1813	C₈	—	2	1	no	—
1814	C₈	—	2	1	no	—
1815	C₈	—	2	1	no	—
1816	C₂²	—	2	1	no	—
1817	C₂²	—	2	1	no	—
1818	C₂²	—	2	1	no	—
1819	C₂²	—	2	1	no	—
1820	C₂²	—	2	1	no	—
1821	C₂²	—	2	1	no	—
1822	C₂²	—	2	1	no	—
1823	C₂²	—	2	1	no	—
1824	C₂²	—	2	1	no	—
1825	C₂²	—	2	1	no	—
1826	C₂²	—	2	1	no	—
1827	C₂²	—	2	1	no	—
1828	C₂²	—	2	2	no	—
1829	C₂²	—	2	1	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	4	1	no	—
1832	C₂²	—	4	1	no	—
1833	C₂²	—	4	1	no	—
1834	C₂²	—	4	1	no	—
1835	C₂²	—	4	1	no	—
1836	C₂²	—	4	1	no	—
1837	C₂²	—	4	1	no	—
1838	C₂²	—	4	1	no	—
1839	C₂²	—	4	1	no	—
1840	C₂²	—	4	1	no	—
1841	C₂²	—	4	1	no	—
1842	C₂²	—	8	2	no	—
1843	C₂²	—	8	4	no	—
1844	C₂²	—	8	2	no	—
1845	C₂²	—	8	4	no	—
1846	C₂²	C₁₃×#575	1	2	yes	—
1847	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1848	C₄	—	2	1	no	—
1849	C₄	—	2	1	no	—
1850	C₄	—	2	1	no	—
1851	C₄	—	2	1	no	—
1852	C₄	—	2	1	no	—
1853	C₄	—	2	2	no	—
1854	C₄	—	2	1	no	—
1855	C₄	—	2	1	no	—
1856	C₄	—	2	1	no	—
1857	C₄	—	2	1	no	—
1858	C₄	—	4	1	no	—
1859	C₄	—	4	1	no	—
1860	C₄	—	4	1	no	—
1861	C₄	—	4	1	no	—
1862	C₄	—	4	1	no	—
1863	C₄	—	4	1	no	—
1864	C₄	—	4	1	no	—
1865	C₄	—	4	1	no	—
1866	C₄	—	4	1	no	—
1867	C₄	—	4	1	no	—
1868	C₄	—	4	1	no	—
1869	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1870	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1871	C₂	—	2	2	no	—
1872	C₂	—	4	1	no	—
1873	C₂	—	4	1	no	—
1874	C₂	—	4	1	no	—
1875	C₂	—	4	1	no	—
1876	C₂	—	4	2	no	—
1877	C₂	—	8	1	no	—
1878	C₂	—	8	1	no	—
1879	C₂	—	8	1	no	—
1880	C₂	C₁₃×#3484	1	1	yes	characteristic
1881	C₂	C₂×C₁₃×#575	1	1	yes	characteristic
1882	C₂	C₁₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₃ ◁ C₂×C₄×D₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3520	C₂	semidirect
2. D₄×C₁₃×#41	C₂	semidirect
3. C₁₃×#3317	C₂	semidirect
4. C₁₃×#3315	C₂	semidirect
5. C₁₃×#3313	C₂	semidirect
6. C₁₃×#3312	C₂	semidirect
7. C₁₃×#3311	C₂	semidirect
8. C₁₃×#3310	C₂	semidirect
9. C₁₃×#3308	C₂	semidirect
10. C₁₃×#3306	C₂	semidirect
11. C₁₃×#3271	C₂	semidirect
12. C₁₃×#3270	C₂	semidirect
13. C₁₃×#3270	C₂	semidirect
14. C₁₃×#3269	C₂	semidirect
15. C₁₃×#3269	C₂	semidirect
16. C₁₃×#3267	C₂	semidirect
17. C₁₃×#3266	C₂	semidirect
18. C₁₃×#3265	C₂	semidirect
19. C₁₃×#3219	C₂	semidirect
20. C₁₃×#3216	C₂	semidirect
21. C₁₃×#3197	C₂	semidirect
22. C₁₃×#3196	C₂	semidirect
23. C₁₃×#3191	C₂	semidirect
24. C₁₃×#3190	C₂	semidirect
25. C₁₃×#3116	C₂	semidirect
26. C₁₃×#3111	C₂	semidirect
27. C₁₃×#3007	C₂	semidirect
28. C₁₃×#3005	C₂	semidirect
29. C₁₃×#3002	C₂	semidirect
30. C₂×C₁₃×#452	C₂	semidirect
31. C₁₃×#2973	C₂	semidirect
34. C₂×C₁₃×#137	C₂²	semidirect
35. C₂×C₁₃×#137	C₂²	semidirect
36. C₂×C₁₃×#137	C₂²	semidirect
37. C₂×C₁₃×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₁₃×#135	C₂²	semidirect
39. C₂×C₁₃×#135	C₂²	semidirect
40. C₂²×C₁₃×Q₁₆	C₂²	semidirect
41. C₂²×C₁₃×SD₁₆	C₂²	semidirect
42. C₁₃×#556	C₂²	semidirect
45. C₁₃×#552	C₂²	semidirect
50. D₄×Q₈×C₁₃	C₂²	semidirect
54. C₁₃×#548	C₂²	semidirect
57. C₁₃×#547	C₂²	semidirect
58. C₁₃×#547	C₂²	semidirect
69. C₁₃×#533	C₂²	semidirect
72. C₁₃×#529	C₂²	semidirect
77. C₁₃×#525	C₂²	semidirect
78. C₁₃×#525	C₂²	semidirect
79. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
80. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
85. C₁₃×#497	C₂²	semidirect
86. C₁₃×#497	C₂²	semidirect
87. C₁₃×#497	C₂²	semidirect
88. C₁₃×#496	C₂²	semidirect
89. C₁₃×#491	C₂²	semidirect
90. C₁₃×#490	C₂²	semidirect
91. C₁₃×#489	C₂²	semidirect
92. C₁₃×#489	C₂²	semidirect
93. C₁₃×#485	C₂²	semidirect
94. C₁₃×#485	C₂²	semidirect
95. C₁₃×#485	C₂²	semidirect
96. C₁₃×#485	C₂²	semidirect
97. C₁₃×#485	C₂²	semidirect
98. C₁₃×#484	C₂²	semidirect
99. C₁₃×#483	C₂²	semidirect
100. C₁₃×#482	C₂²	semidirect
101. C₁₃×#482	C₂²	semidirect
102. C₁₃×#482	C₂²	semidirect
103. C₁₃×#481	C₂²	semidirect
104. C₁₃×#480	C₂²	semidirect
105. C₁₃×#479	C₂²	semidirect
106. C₁₃×#478	C₂²	semidirect
107. C₁₃×#477	C₂²	semidirect
108. C₁₃×#476	C₂²	semidirect
109. C₁₃×#470	C₂²	semidirect
110. C₁₃×#470	C₂²	semidirect
111. C₁₃×#470	C₂²	semidirect
112. C₁₃×#469	C₂²	semidirect
113. C₁₃×#468	C₂²	semidirect
114. C₁₃×#468	C₂²	semidirect
115. C₁₃×#468	C₂²	semidirect
116. C₁₃×#468	C₂²	semidirect
117. C₁₃×#467	C₂²	semidirect
118. C₁₃×#467	C₂²	semidirect
119. C₁₃×#467	C₂²	semidirect
120. C₁₃×#466	C₂²	semidirect
121. C₁₃×#465	C₂²	semidirect
122. C₁₃×#465	C₂²	semidirect
123. C₁₃×#465	C₂²	semidirect
124. C₁₃×#465	C₂²	semidirect
125. C₁₃×#464	C₂²	semidirect
126. C₁₃×#464	C₂²	semidirect
127. C₁₃×#464	C₂²	semidirect
128. C₁₃×#463	C₂²	semidirect
129. C₁₃×#463	C₂²	semidirect
130. C₁₃×#463	C₂²	semidirect
131. C₁₃×#462	C₂²	semidirect
132. C₁₃×#462	C₂²	semidirect
133. C₁₃×#462	C₂²	semidirect
134. C₁₃×#461	C₂²	semidirect
135. C₁₃×#460	C₂²	semidirect
136. C₁₃×#460	C₂²	semidirect
140. C₁₃×#452	C₂²	semidirect
141. C₁₃×#452	C₂²	semidirect
142. C₁₃×#452	C₂²	semidirect
143. C₁₃×#452	C₂²	semidirect
144. C₁₃×#452	C₂²	semidirect
145. C₁₃×#452	C₂²	semidirect
146. C₁₃×#452	C₂²	semidirect
147. C₁₃×#452	C₂²	semidirect
148. C₁₃×#452	C₂²	semidirect
149. C₁₃×#452	C₂²	semidirect
150. C₁₃×#452	C₂²	semidirect
151. C₁₃×#452	C₂²	semidirect
152. C₁₃×#452	C₂²	semidirect
153. C₁₃×#452	C₂²	semidirect
154. C₁₃×#451	C₂²	semidirect
155. C₁₃×#451	C₂²	semidirect
156. C₁₃×#451	C₂²	semidirect
157. C₁₃×#451	C₂²	semidirect
158. C₁₃×#451	C₂²	semidirect
159. C₁₃×#450	C₂²	semidirect
160. C₁₃×#450	C₂²	semidirect
161. C₁₃×#450	C₂²	semidirect
163. C₁₃×#449	C₂²	semidirect
164. C₁₃×#449	C₂²	semidirect
165. C₁₃×#449	C₂²	semidirect
166. C₁₃×#449	C₂²	semidirect
167. C₁₃×#449	C₂²	semidirect
168. C₁₃×#449	C₂²	semidirect
169. C₁₃×#448	C₂²	semidirect
170. C₁₃×#448	C₂²	semidirect
171. C₁₃×#448	C₂²	semidirect
172. C₁₃×#447	C₂²	semidirect
173. C₁₃×#442	C₂²	semidirect
174. C₁₃×#441	C₂²	semidirect
175. C₁₃×#441	C₂²	semidirect
176. C₁₃×#441	C₂²	semidirect
177. C₁₃×#440	C₂²	semidirect
178. C₁₃×#440	C₂²	semidirect
179. C₁₃×#440	C₂²	semidirect
180. C₁₃×#440	C₂²	semidirect
183. C₁₃×#435	C₂²	semidirect
184. C₁₃×#435	C₂²	semidirect
185. C₁₃×#435	C₂²	semidirect
186. C₁₃×#435	C₂²	semidirect
187. C₁₃×#435	C₂²	semidirect
188. C₁₃×#435	C₂²	semidirect
189. C₁₃×#432	C₂²	semidirect
190. C₁₃×#432	C₂²	semidirect
191. C₁₃×#419	C₂²	semidirect
192. C₁₃×#418	C₂²	semidirect
193. C₁₃×#417	C₂²	semidirect
194. C₁₃×#417	C₂²	semidirect
195. C₁₃×#416	C₂²	semidirect
196. C₁₃×#416	C₂²	semidirect
197. C₂×C₁₃×#103	C₂²	semidirect
198. C₂×C₁₃×#102	C₂²	semidirect
199. C₁₃×#407	C₂²	semidirect
200. C₁₃×#407	C₂²	semidirect
201. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
202. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
490. #61580	C₁₃	direct (N × H)
739. #3520	C₂×C₁₃	semidirect
740. D₄×#41	C₂×C₁₃	semidirect
741. #3317	C₂×C₁₃	semidirect
742. #3315	C₂×C₁₃	semidirect
743. #3313	C₂×C₁₃	semidirect
744. #3312	C₂×C₁₃	semidirect
745. #3311	C₂×C₁₃	semidirect
746. #3310	C₂×C₁₃	semidirect
747. #3308	C₂×C₁₃	semidirect
748. #3306	C₂×C₁₃	semidirect
749. #3271	C₂×C₁₃	semidirect
750. #3270	C₂×C₁₃	semidirect
751. #3270	C₂×C₁₃	semidirect
752. #3269	C₂×C₁₃	semidirect
753. #3269	C₂×C₁₃	semidirect
754. #3267	C₂×C₁₃	semidirect
755. #3266	C₂×C₁₃	semidirect
756. #3265	C₂×C₁₃	semidirect
757. #3219	C₂×C₁₃	semidirect
758. #3216	C₂×C₁₃	semidirect
759. #3197	C₂×C₁₃	semidirect
760. #3196	C₂×C₁₃	semidirect
761. #3191	C₂×C₁₃	semidirect
762. #3190	C₂×C₁₃	semidirect
763. #3116	C₂×C₁₃	semidirect
764. #3111	C₂×C₁₃	semidirect
765. #3007	C₂×C₁₃	semidirect
766. #3005	C₂×C₁₃	semidirect
767. #3002	C₂×C₁₃	semidirect
768. C₂×#452	C₂×C₁₃	semidirect
769. #2973	C₂×C₁₃	semidirect
908. C₂×#137	C₂²×C₁₃	semidirect
909. C₂×#137	C₂²×C₁₃	semidirect
910. C₂×#137	C₂²×C₁₃	semidirect
911. C₂×AGL(1,ℤ/8)	C₂²×C₁₃	semidirect
912. C₂×#135	C₂²×C₁₃	semidirect
913. C₂×#135	C₂²×C₁₃	semidirect
914. C₂²×Q₁₆	C₂²×C₁₃	semidirect
915. C₂²×SD₁₆	C₂²×C₁₃	semidirect
916. #556	C₂²×C₁₃	semidirect
919. #552	C₂²×C₁₃	semidirect
924. D₄×Q₈	C₂²×C₁₃	semidirect
928. #548	C₂²×C₁₃	semidirect
931. #547	C₂²×C₁₃	semidirect
932. #547	C₂²×C₁₃	semidirect
943. #533	C₂²×C₁₃	semidirect
946. #529	C₂²×C₁₃	semidirect
951. #525	C₂²×C₁₃	semidirect
952. #525	C₂²×C₁₃	semidirect
953. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
954. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
959. #497	C₂²×C₁₃	semidirect
960. #497	C₂²×C₁₃	semidirect
961. #497	C₂²×C₁₃	semidirect
962. #496	C₂²×C₁₃	semidirect
963. #491	C₂²×C₁₃	semidirect
964. #490	C₂²×C₁₃	semidirect
965. #489	C₂²×C₁₃	semidirect
966. #489	C₂²×C₁₃	semidirect
967. #485	C₂²×C₁₃	semidirect
968. #485	C₂²×C₁₃	semidirect
969. #485	C₂²×C₁₃	semidirect
970. #485	C₂²×C₁₃	semidirect
971. #485	C₂²×C₁₃	semidirect
972. #484	C₂²×C₁₃	semidirect
973. #483	C₂²×C₁₃	semidirect
974. #482	C₂²×C₁₃	semidirect
975. #482	C₂²×C₁₃	semidirect
976. #482	C₂²×C₁₃	semidirect
977. #481	C₂²×C₁₃	semidirect
978. #480	C₂²×C₁₃	semidirect
979. #479	C₂²×C₁₃	semidirect
980. #478	C₂²×C₁₃	semidirect
981. #477	C₂²×C₁₃	semidirect
982. #476	C₂²×C₁₃	semidirect
983. #470	C₂²×C₁₃	semidirect
984. #470	C₂²×C₁₃	semidirect
985. #470	C₂²×C₁₃	semidirect
986. #469	C₂²×C₁₃	semidirect
987. #468	C₂²×C₁₃	semidirect
988. #468	C₂²×C₁₃	semidirect
989. #468	C₂²×C₁₃	semidirect
990. #468	C₂²×C₁₃	semidirect
991. #467	C₂²×C₁₃	semidirect
992. #467	C₂²×C₁₃	semidirect
993. #467	C₂²×C₁₃	semidirect
994. #466	C₂²×C₁₃	semidirect
995. #465	C₂²×C₁₃	semidirect
996. #465	C₂²×C₁₃	semidirect
997. #465	C₂²×C₁₃	semidirect
998. #465	C₂²×C₁₃	semidirect
999. #464	C₂²×C₁₃	semidirect
1000. #464	C₂²×C₁₃	semidirect
1001. #464	C₂²×C₁₃	semidirect
1002. #463	C₂²×C₁₃	semidirect
1003. #463	C₂²×C₁₃	semidirect
1004. #463	C₂²×C₁₃	semidirect
1005. #462	C₂²×C₁₃	semidirect
1006. #462	C₂²×C₁₃	semidirect
1007. #462	C₂²×C₁₃	semidirect
1008. #461	C₂²×C₁₃	semidirect
1009. #460	C₂²×C₁₃	semidirect
1010. #460	C₂²×C₁₃	semidirect
1014. #452	C₂²×C₁₃	semidirect
1015. #452	C₂²×C₁₃	semidirect
1016. #452	C₂²×C₁₃	semidirect
1017. #452	C₂²×C₁₃	semidirect
1018. #452	C₂²×C₁₃	semidirect
1019. #452	C₂²×C₁₃	semidirect
1020. #452	C₂²×C₁₃	semidirect
1021. #452	C₂²×C₁₃	semidirect
1022. #452	C₂²×C₁₃	semidirect
1023. #452	C₂²×C₁₃	semidirect
1024. #452	C₂²×C₁₃	semidirect
1025. #452	C₂²×C₁₃	semidirect
1026. #452	C₂²×C₁₃	semidirect
1027. #452	C₂²×C₁₃	semidirect
1028. #451	C₂²×C₁₃	semidirect
1029. #451	C₂²×C₁₃	semidirect
1030. #451	C₂²×C₁₃	semidirect
1031. #451	C₂²×C₁₃	semidirect
1032. #451	C₂²×C₁₃	semidirect
1033. #450	C₂²×C₁₃	semidirect
1034. #450	C₂²×C₁₃	semidirect
1035. #450	C₂²×C₁₃	semidirect
1037. #449	C₂²×C₁₃	semidirect
1038. #449	C₂²×C₁₃	semidirect
1039. #449	C₂²×C₁₃	semidirect
1040. #449	C₂²×C₁₃	semidirect
1041. #449	C₂²×C₁₃	semidirect
1042. #449	C₂²×C₁₃	semidirect
1043. #448	C₂²×C₁₃	semidirect
1044. #448	C₂²×C₁₃	semidirect
1045. #448	C₂²×C₁₃	semidirect
1046. #447	C₂²×C₁₃	semidirect
1047. #442	C₂²×C₁₃	semidirect
1048. #441	C₂²×C₁₃	semidirect
1049. #441	C₂²×C₁₃	semidirect
1050. #441	C₂²×C₁₃	semidirect
1051. #440	C₂²×C₁₃	semidirect
1052. #440	C₂²×C₁₃	semidirect
1053. #440	C₂²×C₁₃	semidirect
1054. #440	C₂²×C₁₃	semidirect
1057. #435	C₂²×C₁₃	semidirect
1058. #435	C₂²×C₁₃	semidirect
1059. #435	C₂²×C₁₃	semidirect
1060. #435	C₂²×C₁₃	semidirect
1061. #435	C₂²×C₁₃	semidirect
1062. #435	C₂²×C₁₃	semidirect
1063. #432	C₂²×C₁₃	semidirect
1064. #432	C₂²×C₁₃	semidirect
1065. #419	C₂²×C₁₃	semidirect
1066. #418	C₂²×C₁₃	semidirect
1067. #417	C₂²×C₁₃	semidirect
1068. #417	C₂²×C₁₃	semidirect
1069. #416	C₂²×C₁₃	semidirect
1070. #416	C₂²×C₁₃	semidirect
1071. C₂×#103	C₂²×C₁₃	semidirect
1072. C₂×#102	C₂²×C₁₃	semidirect
1073. #407	C₂²×C₁₃	semidirect
1074. #407	C₂²×C₁₃	semidirect
1075. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
1076. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
1679. C₁₃	#61580	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×#3520	2
D₄×C₁₃×#41	2
C₁₃×#3317	2
C₁₃×#3315	2
C₁₃×#3313	2
C₁₃×#3312	2
C₁₃×#3311	2
C₁₃×#3310	2
C₁₃×#3308	2
C₁₃×#3306	2
C₁₃×#3271	2
C₁₃×#3270	2
C₁₃×#3269	2
C₁₃×#3267	2
C₁₃×#3266	2
C₁₃×#3265	2
C₁₃×#3219	2
C₁₃×#3216	2
C₁₃×#3197	2
C₁₃×#3196	2
C₁₃×#3191	2
C₁₃×#3190	2
C₁₃×#3116	2
C₁₃×#3111	2
C₁₃×#3007	2
C₁₃×#3005	2
C₁₃×#3002	2
C₂×C₁₃×#452	2
C₁₃×#2973	2
#61580	13

Subgroups — C13×#61580 #15747919

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61580 #15747919