Subgroups — C₁₃×#61611 #15747950

Order 3328.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3542	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#3486	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#3329	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#3300	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#3298	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#3282	C₂	1	1	yes	maximal, characteristic, complemented
12	D₄×C₁₃×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#3275	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#3266	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×#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#3221	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#3201	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#3200	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#3191	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#3126	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#3121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#3010	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#3004	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₁₃×#448	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#2976	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
33	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
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	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
40	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic
41	C₂²×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#562	—	2	1	no	—
43	C₁₃×#560	—	2	1	no	—
44	C₁₃×#555	C₂²	1	1	yes	characteristic
45	C₁₃×#553	C₂²	1	1	yes	characteristic
46	C₁₃×#552	C₂²	1	1	yes	characteristic
47	C₁₃×#551	—	2	1	no	—
48	C₁₃×#550	C₂²	1	1	yes	characteristic
49	D₄×Q₈×C₁₃	—	2	1	no	—
50	D₄×Q₈×C₁₃	—	2	1	no	—
51	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
52	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
53	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
54	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#548	—	2	1	no	—
56	C₁₃×#548	—	2	1	no	—
57	C₁₃×#548	C₂²	1	1	yes	characteristic
58	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#547	C₂²	1	1	yes	characteristic
62	C₁₃×#546	—	2	1	no	—
63	C₁₃×#546	C₂²	1	1	yes	characteristic
64	C₁₃×#546	C₂²	1	1	yes	characteristic
65	D₄²×C₁₃	C₂²	1	1	yes	characteristic
66	C₁₃×#542	C₂²	1	1	yes	characteristic
67	C₁₃×#540	—	2	1	no	—
68	C₁₃×#540	C₂²	1	1	yes	characteristic
69	C₁₃×#538	—	2	1	no	—
70	C₁₃×#537	C₂²	1	1	yes	characteristic
71	C₁₃×#536	—	2	1	no	—
72	C₁₃×#536	—	2	1	no	—
73	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#535	—	2	1	no	—
76	C₁₃×#535	C₂²	1	1	yes	characteristic
77	C₁₃×#534	—	2	1	no	—
78	C₁₃×#525	—	2	1	no	—
79	C₁₃×#525	—	2	1	no	—
80	C₁₃×#525	C₂²	1	1	yes	characteristic
81	C₁₃×#525	C₂²	1	1	yes	characteristic
82	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
84	C₁₃×#519	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#497	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#496	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#495	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#492	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#491	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#487	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×#484	C₂²	1	1	yes	characteristic, complemented
98	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#483	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#482	C₂²	1	1	yes	characteristic
101	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#482	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×#479	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#477	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#475	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#470	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#469	C₂²	1	1	yes	characteristic
111	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#468	C₂²	1	1	yes	characteristic
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×#466	C₂²	1	1	yes	characteristic
120	C₁₃×#465	C₂²	1	1	yes	characteristic
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×#461	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#461	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, complemented
138	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
139	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
140	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
141	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
142	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
143	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
144	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
146	C₁₃×#451	C₂²	1	1	yes	characteristic, complemented
147	C₁₃×#450	C₂²	1	1	yes	characteristic
148	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#449	C₂²	1	1	yes	characteristic
151	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
152	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
153	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
154	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
155	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
156	C₁₃×#449	C₂²	1	1	yes	characteristic, complemented
157	C₁₃×#448	C₂²	1	1	yes	characteristic
158	C₁₃×#448	C₂²	1	1	yes	characteristic
159	C₁₃×#448	C₂²	1	1	yes	characteristic
160	C₁₃×#448	C₂²	1	1	yes	characteristic
161	C₁₃×#448	C₂²	1	1	yes	characteristic
162	C₁₃×#448	C₂²	1	1	yes	characteristic
163	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
164	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
165	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#448	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#448	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
173	C₁₃×#441	C₂²	1	1	yes	characteristic, complemented
174	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
175	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
176	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₁₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₁₃×SD₁₆	C₂²	1	1	yes	characteristic, complemented
181	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
182	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
183	C₁₃×#435	C₂²	1	1	yes	characteristic
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	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic
188	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
189	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
190	C₁₃×#433	C₂²	1	1	yes	characteristic, complemented
191	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
192	C₁₃×#419	C₂²	1	1	yes	characteristic, complemented
193	C₁₃×#419	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	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
198	C₂×C₁₃×#103	C₂²	1	1	yes	characteristic, complemented
199	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
200	C₁₃×#408	C₂²	1	1	yes	characteristic, complemented
201	C₁₃×#407	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
203	C₁₃×2₋¹⁺⁴	—	4	2	no	—
204	C₁₃×2₋¹⁺⁴	—	4	2	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	—	2	1	no	—
209	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
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	C₂²×Q₈×C₁₃	—	2	1	no	—
216	C₂²×Q₈×C₁₃	—	2	1	no	—
217	C₂²×Q₈×C₁₃	—	2	1	no	—
218	C₂²×Q₈×C₁₃	—	2	1	no	—
219	C₂²×Q₈×C₁₃	—	4	2	no	—
220	C₂²×Q₈×C₁₃	—	4	2	no	—
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×Q₈×C₁₃	C₂³	1	1	yes	characteristic
226	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
227	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
228	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
229	C₂²×D₄×C₁₃	—	2	1	no	—
230	C₂²×D₄×C₁₃	—	2	1	no	—
231	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
232	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
233	C₂³×C₄×C₁₃	—	2	1	no	—
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	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic
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×SD₁₆	—	4	2	no	—
246	C₂×C₁₃×SD₁₆	—	4	2	no	—
247	C₂×C₁₃×SD₁₆	—	4	2	no	—
248	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
278	C₁₃×C₄⋊Q₈	—	2	1	no	—
279	C₁₃×C₄⋊Q₈	—	2	1	no	—
280	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
281	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
282	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
283	C₁₃×#127	—	2	1	no	—
284	C₁₃×#127	—	2	1	no	—
285	C₁₃×#127	C₂³	1	1	yes	characteristic
286	C₁₃×#126	—	2	1	no	—
287	C₁₃×#126	—	2	1	no	—
288	C₁₃×#126	—	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	—	2	1	no	—
297	C₁₃×#124	—	2	1	no	—
298	C₁₃×#124	—	2	1	no	—
299	C₁₃×#124	—	2	1	no	—
300	C₁₃×#124	C₂³	1	1	yes	characteristic
301	C₁₃×#124	C₂³	1	1	yes	characteristic
302	C₁₃×#124	C₂³	1	1	yes	characteristic
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×#123	—	2	1	no	—
315	C₁₃×#123	—	2	1	no	—
316	C₁₃×#123	—	2	1	no	—
317	C₁₃×#123	—	2	1	no	—
318	C₁₃×#123	D₄	1	1	yes	characteristic
319	C₁₃×#123	D₄	1	1	yes	characteristic
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	—	2	1	no	—
329	C₁₃×C₂²⋊Q₈	—	2	1	no	—
330	C₁₃×C₂²⋊Q₈	—	2	1	no	—
331	C₁₃×C₂²⋊Q₈	—	2	1	no	—
332	C₁₃×C₂²⋊Q₈	—	2	1	no	—
333	C₁₃×C₂²⋊Q₈	—	2	1	no	—
334	C₁₃×C₂²⋊Q₈	—	2	1	no	—
335	C₁₃×C₂²⋊Q₈	—	2	1	no	—
336	C₁₃×C₂²⋊Q₈	—	2	1	no	—
337	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
338	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
339	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
342	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
343	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
344	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
345	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
346	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
347	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
355	C₁₃×#121	—	2	1	no	—
356	C₁₃×#121	—	2	1	no	—
357	C₁₃×#121	—	2	1	no	—
358	C₁₃×#121	—	2	1	no	—
359	C₁₃×#121	—	2	1	no	—
360	C₁₃×#121	—	2	1	no	—
361	C₁₃×#121	—	2	1	no	—
362	C₁₃×#121	—	2	1	no	—
363	C₁₃×#121	—	2	1	no	—
364	C₁₃×#121	—	2	1	no	—
365	C₁₃×#121	—	2	1	no	—
366	C₁₃×#121	D₄	1	1	yes	characteristic
367	C₁₃×#121	D₄	1	1	yes	characteristic
368	C₁₃×#121	C₂³	1	1	yes	characteristic
369	C₁₃×#121	C₂³	1	1	yes	characteristic
370	C₁₃×#121	C₂³	1	1	yes	characteristic
371	C₁₃×#121	C₂³	1	1	yes	characteristic
372	C₁₃×#121	C₂³	1	1	yes	characteristic
373	C₁₃×#121	C₂³	1	1	yes	characteristic
374	C₁₃×#121	C₂³	1	1	yes	characteristic
375	C₁₃×#121	C₂³	1	1	yes	characteristic
376	C₁₃×#121	C₂³	1	1	yes	characteristic
377	C₁₃×#121	C₂³	1	1	yes	characteristic
378	C₁₃×#121	C₂³	1	1	yes	characteristic
379	C₁₃×#120	—	2	1	no	—
380	C₁₃×#120	—	2	1	no	—
381	C₁₃×#120	—	2	1	no	—
382	C₁₃×#120	—	2	1	no	—
383	C₁₃×#120	—	2	1	no	—
384	C₁₃×#120	—	2	1	no	—
385	C₁₃×#120	—	2	1	no	—
386	C₁₃×#120	—	2	1	no	—
387	C₁₃×#120	D₄	1	1	yes	characteristic
388	C₁₃×#120	D₄	1	1	yes	characteristic
389	C₄×Q₈×C₁₃	—	2	1	no	—
390	C₄×Q₈×C₁₃	—	2	1	no	—
391	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
392	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
393	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
394	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
395	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic
396	C₄×D₄×C₁₃	—	2	1	no	—
397	C₄×D₄×C₁₃	—	2	1	no	—
398	C₄×D₄×C₁₃	—	2	1	no	—
399	C₄×D₄×C₁₃	—	2	1	no	—
400	C₄×D₄×C₁₃	—	2	1	no	—
401	C₄×D₄×C₁₃	—	2	1	no	—
402	C₄×D₄×C₁₃	—	2	1	no	—
403	C₄×D₄×C₁₃	—	2	1	no	—
404	C₄×D₄×C₁₃	—	2	1	no	—
405	C₄×D₄×C₁₃	—	2	1	no	—
406	C₄×D₄×C₁₃	—	2	1	no	—
407	C₄×D₄×C₁₃	—	2	1	no	—
408	C₄×D₄×C₁₃	—	2	1	no	—
409	C₄×D₄×C₁₃	—	2	1	no	—
410	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
411	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
412	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
413	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
414	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
415	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
416	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
417	C₁₃×#117	—	2	1	no	—
418	C₁₃×#117	—	2	1	no	—
419	C₁₃×#117	—	2	1	no	—
420	C₁₃×#117	—	2	1	no	—
421	C₁₃×#117	C₂³	1	1	yes	characteristic
422	C₁₃×#117	C₂³	1	1	yes	characteristic
423	C₁₃×#117	C₂³	1	1	yes	characteristic
424	C₁₃×#117	C₂³	1	1	yes	characteristic
425	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
426	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
427	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
428	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
429	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
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×#103	C₂³	1	1	yes	characteristic
461	C₁₃×#103	C₂³	1	1	yes	characteristic
462	C₁₃×#103	C₂³	1	1	yes	characteristic
463	C₁₃×#103	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	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
489	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic
490	#61611	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	C₁₃×#41	—	2	2	no	—
495	C₁₃×#41	—	2	2	no	—
496	C₁₃×#41	—	4	1	no	—
497	C₁₃×#41	—	4	1	no	—
498	C₁₃×#41	—	4	1	no	—
499	C₁₃×#41	—	4	1	no	—
500	C₁₃×#41	—	4	1	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₁₃×#41	—	4	4	no	—
503	C₁₃×#41	—	4	4	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	4	no	—
509	C₁₃×#41	—	8	2	no	—
510	C₂×Q₈×C₁₃	—	2	2	no	—
511	C₂×Q₈×C₁₃	—	2	2	no	—
512	C₂×Q₈×C₁₃	—	2	1	no	—
513	C₂×Q₈×C₁₃	—	2	1	no	—
514	C₂×Q₈×C₁₃	—	2	1	no	—
515	C₂×Q₈×C₁₃	—	2	1	no	—
516	C₂×Q₈×C₁₃	—	2	1	no	—
517	C₂×Q₈×C₁₃	—	2	1	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	2	no	—
522	C₂×Q₈×C₁₃	—	2	2	no	—
523	C₂×Q₈×C₁₃	—	2	2	no	—
524	C₂×Q₈×C₁₃	—	2	2	no	—
525	C₂×Q₈×C₁₃	—	2	2	no	—
526	C₂×Q₈×C₁₃	—	2	2	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	—	4	1	no	—
532	C₂×Q₈×C₁₃	—	4	1	no	—
533	C₂×Q₈×C₁₃	—	4	1	no	—
534	C₂×Q₈×C₁₃	—	4	1	no	—
535	C₂×Q₈×C₁₃	—	4	4	no	—
536	C₂×Q₈×C₁₃	—	4	4	no	—
537	C₂×Q₈×C₁₃	—	4	4	no	—
538	C₂×Q₈×C₁₃	—	4	4	no	—
539	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
540	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
541	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
542	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
543	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
544	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
560	C₂×D₄×C₁₃	—	2	1	no	—
561	C₂×D₄×C₁₃	—	2	1	no	—
562	C₂×D₄×C₁₃	—	2	1	no	—
563	C₂×D₄×C₁₃	—	2	1	no	—
564	C₂×D₄×C₁₃	—	2	1	no	—
565	C₂×D₄×C₁₃	—	2	1	no	—
566	C₂×D₄×C₁₃	—	4	1	no	—
567	C₂×D₄×C₁₃	—	4	1	no	—
568	C₂×D₄×C₁₃	—	4	1	no	—
569	C₂×D₄×C₁₃	—	4	1	no	—
570	C₂×D₄×C₁₃	—	8	2	no	—
571	C₂×D₄×C₁₃	—	8	2	no	—
572	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
573	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
574	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
575	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
576	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
577	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
578	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
579	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
580	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
581	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
582	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
592	C₂²×C₄×C₁₃	—	2	1	no	—
593	C₂²×C₄×C₁₃	—	2	1	no	—
594	C₂²×C₄×C₁₃	—	2	1	no	—
595	C₂²×C₄×C₁₃	—	2	1	no	—
596	C₂²×C₄×C₁₃	—	2	1	no	—
597	C₂²×C₄×C₁₃	—	2	1	no	—
598	C₂²×C₄×C₁₃	—	2	1	no	—
599	C₂²×C₄×C₁₃	—	2	1	no	—
600	C₂²×C₄×C₁₃	—	2	1	no	—
601	C₂²×C₄×C₁₃	—	4	1	no	—
602	C₂²×C₄×C₁₃	—	4	1	no	—
603	C₂²×C₄×C₁₃	—	4	4	no	—
604	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
605	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
606	C₂²×C₄×C₁₃	C₂×D₄	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	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
611	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
612	C₁₃×Q₁₆	—	2	2	no	—
613	C₁₃×Q₁₆	—	2	2	no	—
614	C₁₃×Q₁₆	—	4	1	no	—
615	C₁₃×Q₁₆	—	4	1	no	—
616	C₁₃×Q₁₆	—	4	1	no	—
617	C₁₃×SD₁₆	—	2	2	no	—
618	C₁₃×SD₁₆	—	2	2	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×SD₁₆	—	4	1	no	—
632	C₁₃×SD₁₆	—	4	1	no	—
633	C₁₃×D₈	—	4	1	no	—
634	C₁₃×D₈	—	4	1	no	—
635	C₁₃×D₈	—	4	1	no	—
636	C₁₃×M₁₆	—	4	1	no	—
637	C₁₃×M₁₆	—	4	1	no	—
638	C₁₃×M₁₆	—	4	1	no	—
639	C₁₃×M₁₆	—	4	1	no	—
640	C₂×C₈×C₁₃	—	4	1	no	—
641	C₂×C₈×C₁₃	—	4	1	no	—
642	C₂×C₈×C₁₃	—	4	1	no	—
643	C₂×C₈×C₁₃	—	4	1	no	—
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	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
651	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
676	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
728	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
736	C₄²×C₁₃	—	2	1	no	—
737	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
738	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
739	#3542	C₂×C₁₃	1	1	yes	characteristic, complemented
740	#3486	C₂×C₁₃	1	1	yes	characteristic, complemented
741	#3329	C₂×C₁₃	1	1	yes	characteristic, complemented
742	#3326	C₂×C₁₃	1	1	yes	characteristic, complemented
743	#3321	C₂×C₁₃	1	1	yes	characteristic, complemented
744	#3320	C₂×C₁₃	1	1	yes	characteristic, complemented
745	#3312	C₂×C₁₃	1	1	yes	characteristic, complemented
746	#3308	C₂×C₁₃	1	1	yes	characteristic, complemented
747	#3300	C₂×C₁₃	1	1	yes	characteristic, complemented
748	#3298	C₂×C₁₃	1	1	yes	characteristic, complemented
749	#3282	C₂×C₁₃	1	1	yes	characteristic, complemented
750	D₄×SD₁₆	C₂×C₁₃	1	1	yes	characteristic, complemented
751	#3278	C₂×C₁₃	1	1	yes	characteristic, complemented
752	#3275	C₂×C₁₃	1	1	yes	characteristic, complemented
753	#3271	C₂×C₁₃	1	1	yes	characteristic, complemented
754	#3266	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	#3225	C₂×C₁₃	1	1	yes	characteristic, complemented
758	#3221	C₂×C₁₃	1	1	yes	characteristic, complemented
759	#3201	C₂×C₁₃	1	1	yes	characteristic, complemented
760	#3200	C₂×C₁₃	1	1	yes	characteristic, complemented
761	#3194	C₂×C₁₃	1	1	yes	characteristic, complemented
762	#3191	C₂×C₁₃	1	1	yes	characteristic, complemented
763	#3126	C₂×C₁₃	1	1	yes	characteristic, complemented
764	#3121	C₂×C₁₃	1	1	yes	characteristic, complemented
765	#3013	C₂×C₁₃	1	1	yes	characteristic, complemented
766	#3010	C₂×C₁₃	1	1	yes	characteristic, complemented
767	#3004	C₂×C₁₃	1	1	yes	characteristic, complemented
768	C₂×#448	C₂×C₁₃	1	1	yes	characteristic, complemented
769	#2976	C₂×C₁₃	1	1	yes	characteristic, complemented
770	C₂³×C₁₃	—	2	2	no	—
771	C₂³×C₁₃	—	2	1	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	2	no	—
778	C₂³×C₁₃	—	8	1	no	—
779	C₂³×C₁₃	—	8	1	no	—
780	C₂³×C₁₃	—	8	1	no	—
781	C₂³×C₁₃	—	8	1	no	—
782	C₂³×C₁₃	—	8	1	no	—
783	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
784	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
785	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	Q₈×C₁₃	—	2	4	no	—
789	Q₈×C₁₃	—	2	1	no	—
790	Q₈×C₁₃	—	2	1	no	—
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	—	4	1	no	—
800	Q₈×C₁₃	—	4	2	no	—
801	Q₈×C₁₃	—	4	2	no	—
802	Q₈×C₁₃	—	4	2	no	—
803	Q₈×C₁₃	—	4	2	no	—
804	Q₈×C₁₃	—	4	2	no	—
805	Q₈×C₁₃	—	4	2	no	—
806	Q₈×C₁₃	—	4	2	no	—
807	Q₈×C₁₃	—	8	1	no	—
808	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
809	Q₈×C₁₃	H(5,𝔽₂)	1	2	yes	—
810	D₄×C₁₃	—	2	2	no	—
811	D₄×C₁₃	—	2	2	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	—	2	1	no	—
819	D₄×C₁₃	—	2	1	no	—
820	D₄×C₁₃	—	4	1	no	—
821	D₄×C₁₃	—	4	1	no	—
822	D₄×C₁₃	—	4	1	no	—
823	D₄×C₁₃	—	4	1	no	—
824	D₄×C₁₃	—	4	1	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	—	8	1	no	—
832	D₄×C₁₃	—	8	1	no	—
833	D₄×C₁₃	—	8	1	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	—	8	1	no	—
840	D₄×C₁₃	—	8	1	no	—
841	D₄×C₁₃	—	8	1	no	—
842	D₄×C₁₃	—	8	1	no	—
843	D₄×C₁₃	—	8	1	no	—
844	D₄×C₁₃	—	8	1	no	—
845	C₂×C₄×C₁₃	—	2	4	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	—	2	1	no	—
864	C₂×C₄×C₁₃	—	2	1	no	—
865	C₂×C₄×C₁₃	—	2	1	no	—
866	C₂×C₄×C₁₃	—	2	1	no	—
867	C₂×C₄×C₁₃	—	2	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	—	8	1	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	C₂×2₋¹⁺⁴	C₂²×C₁₃	1	1	yes	characteristic, complemented
907	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
914	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic
915	C₂²×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
916	#562	—	2	1	no	—
917	#560	—	2	1	no	—
918	#555	C₂²×C₁₃	1	1	yes	characteristic
919	#553	C₂²×C₁₃	1	1	yes	characteristic
920	#552	C₂²×C₁₃	1	1	yes	characteristic
921	#551	—	2	1	no	—
922	#550	C₂²×C₁₃	1	1	yes	characteristic
923	D₄×Q₈	—	2	1	no	—
924	D₄×Q₈	—	2	1	no	—
925	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
926	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
927	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
928	D₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
929	#548	—	2	1	no	—
930	#548	—	2	1	no	—
931	#548	C₂²×C₁₃	1	1	yes	characteristic
932	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
933	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
934	#548	C₂²×C₁₃	1	1	yes	characteristic, complemented
935	#547	C₂²×C₁₃	1	1	yes	characteristic
936	#546	—	2	1	no	—
937	#546	C₂²×C₁₃	1	1	yes	characteristic
938	#546	C₂²×C₁₃	1	1	yes	characteristic
939	D₄²	C₂²×C₁₃	1	1	yes	characteristic
940	#542	C₂²×C₁₃	1	1	yes	characteristic
941	#540	—	2	1	no	—
942	#540	C₂²×C₁₃	1	1	yes	characteristic
943	#538	—	2	1	no	—
944	#537	C₂²×C₁₃	1	1	yes	characteristic
945	#536	—	2	1	no	—
946	#536	—	2	1	no	—
947	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
948	#536	C₂²×C₁₃	1	1	yes	characteristic, complemented
949	#535	—	2	1	no	—
950	#535	C₂²×C₁₃	1	1	yes	characteristic
951	#534	—	2	1	no	—
952	#525	—	2	1	no	—
953	#525	—	2	1	no	—
954	#525	C₂²×C₁₃	1	1	yes	characteristic
955	#525	C₂²×C₁₃	1	1	yes	characteristic
956	#525	C₂²×C₁₃	1	1	yes	characteristic, complemented
957	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
958	#519	C₂²×C₁₃	1	1	yes	characteristic, complemented
959	#497	C₂²×C₁₃	1	1	yes	characteristic, complemented
960	#496	C₂²×C₁₃	1	1	yes	characteristic, complemented
961	#495	C₂²×C₁₃	1	1	yes	characteristic, complemented
962	#492	C₂²×C₁₃	1	1	yes	characteristic, complemented
963	#491	C₂²×C₁₃	1	1	yes	characteristic, complemented
964	#489	C₂²×C₁₃	1	1	yes	characteristic, complemented
965	#488	C₂²×C₁₃	1	1	yes	characteristic, complemented
966	#487	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	#484	C₂²×C₁₃	1	1	yes	characteristic, complemented
972	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
973	#483	C₂²×C₁₃	1	1	yes	characteristic, complemented
974	#482	C₂²×C₁₃	1	1	yes	characteristic
975	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
976	#482	C₂²×C₁₃	1	1	yes	characteristic, complemented
977	#482	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	#479	C₂²×C₁₃	1	1	yes	characteristic, complemented
981	#477	C₂²×C₁₃	1	1	yes	characteristic, complemented
982	#475	C₂²×C₁₃	1	1	yes	characteristic, complemented
983	#470	C₂²×C₁₃	1	1	yes	characteristic, complemented
984	#469	C₂²×C₁₃	1	1	yes	characteristic
985	#469	C₂²×C₁₃	1	1	yes	characteristic, complemented
986	#468	C₂²×C₁₃	1	1	yes	characteristic
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	#466	C₂²×C₁₃	1	1	yes	characteristic
994	#465	C₂²×C₁₃	1	1	yes	characteristic
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	#461	C₂²×C₁₃	1	1	yes	characteristic, complemented
1007	#461	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, complemented
1012	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1013	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1014	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1015	#452	C₂²×C₁₃	1	1	yes	characteristic, complemented
1016	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1017	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1018	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1019	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1020	#451	C₂²×C₁₃	1	1	yes	characteristic, complemented
1021	#450	C₂²×C₁₃	1	1	yes	characteristic
1022	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1023	#450	C₂²×C₁₃	1	1	yes	characteristic, complemented
1024	#449	C₂²×C₁₃	1	1	yes	characteristic
1025	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1026	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1027	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1028	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1029	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1030	#449	C₂²×C₁₃	1	1	yes	characteristic, complemented
1031	#448	C₂²×C₁₃	1	1	yes	characteristic
1032	#448	C₂²×C₁₃	1	1	yes	characteristic
1033	#448	C₂²×C₁₃	1	1	yes	characteristic
1034	#448	C₂²×C₁₃	1	1	yes	characteristic
1035	#448	C₂²×C₁₃	1	1	yes	characteristic
1036	#448	C₂²×C₁₃	1	1	yes	characteristic
1037	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1038	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1039	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1040	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1041	#448	C₂²×C₁₃	1	1	yes	characteristic, complemented
1042	#448	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
1047	#441	C₂²×C₁₃	1	1	yes	characteristic, complemented
1048	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1049	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1050	#440	C₂²×C₁₃	1	1	yes	characteristic, complemented
1051	C₄×Q₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1052	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1053	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1054	C₄×SD₁₆	C₂²×C₁₃	1	1	yes	characteristic, complemented
1055	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
1056	#436	C₂²×C₁₃	1	1	yes	characteristic, complemented
1057	#435	C₂²×C₁₃	1	1	yes	characteristic
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	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic
1062	C₈×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
1063	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1064	#433	C₂²×C₁₃	1	1	yes	characteristic, complemented
1065	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
1066	#419	C₂²×C₁₃	1	1	yes	characteristic, complemented
1067	#419	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	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
1071	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
1072	C₂×#103	C₂²×C₁₃	1	1	yes	characteristic, complemented
1073	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
1074	#408	C₂²×C₁₃	1	1	yes	characteristic, complemented
1075	#407	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	1	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	—	4	4	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	—	4	1	no	—
1104	C₂²×C₁₃	—	16	2	no	—
1105	C₂²×C₁₃	—	16	2	no	—
1106	C₂²×C₁₃	#577	1	2	yes	—
1107	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1108	C₄×C₁₃	—	2	1	no	—
1109	C₄×C₁₃	—	2	1	no	—
1110	C₄×C₁₃	—	2	2	no	—
1111	C₄×C₁₃	—	2	2	no	—
1112	C₄×C₁₃	—	2	1	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	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1130	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1131	2₋¹⁺⁴	—	4	2	no	—
1132	2₋¹⁺⁴	—	4	2	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	C₂³×C₁₃	1	1	yes	characteristic
1138	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1139	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1140	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1141	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1142	C₂×#41	C₂³×C₁₃	1	1	yes	characteristic
1143	C₂²×Q₈	—	2	1	no	—
1144	C₂²×Q₈	—	2	1	no	—
1145	C₂²×Q₈	—	2	1	no	—
1146	C₂²×Q₈	—	2	1	no	—
1147	C₂²×Q₈	—	4	2	no	—
1148	C₂²×Q₈	—	4	2	no	—
1149	C₂²×Q₈	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×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1155	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1156	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1157	C₂²×D₄	—	2	1	no	—
1158	C₂²×D₄	—	2	1	no	—
1159	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1160	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
1161	C₂³×C₄	—	2	1	no	—
1162	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
1163	#137	—	4	2	no	—
1164	#137	—	4	2	no	—
1165	#137	—	4	2	no	—
1166	AGL(1,ℤ/8)	—	4	2	no	—
1167	#135	—	4	2	no	—
1168	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1169	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1170	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1171	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1172	C₂×Q₁₆	C₂³×C₁₃	1	1	yes	characteristic
1173	C₂×SD₁₆	—	4	2	no	—
1174	C₂×SD₁₆	—	4	2	no	—
1175	C₂×SD₁₆	—	4	2	no	—
1176	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1177	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1178	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1179	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
1180	C₂×SD₁₆	C₂³×C₁₃	1	1	yes	characteristic
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×D₈	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×M₁₆	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	C₂²×C₈	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	C₄⋊Q₈	—	2	1	no	—
1204	C₄⋊Q₈	—	2	1	no	—
1205	C₄⋊Q₈	—	2	1	no	—
1206	C₄⋊Q₈	—	2	1	no	—
1207	C₄⋊Q₈	—	2	1	no	—
1208	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1209	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1210	C₄⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1211	#127	—	2	1	no	—
1212	#127	—	2	1	no	—
1213	#127	C₂³×C₁₃	1	1	yes	characteristic
1214	#126	—	2	1	no	—
1215	#126	—	2	1	no	—
1216	#126	—	2	1	no	—
1217	#125	—	2	1	no	—
1218	#125	C₂³×C₁₃	1	1	yes	characteristic
1219	#124	—	2	1	no	—
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	—	2	1	no	—
1226	#124	—	2	1	no	—
1227	#124	—	2	1	no	—
1228	#124	C₂³×C₁₃	1	1	yes	characteristic
1229	#124	C₂³×C₁₃	1	1	yes	characteristic
1230	#124	C₂³×C₁₃	1	1	yes	characteristic
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	#123	—	2	1	no	—
1244	#123	—	2	1	no	—
1245	#123	—	2	1	no	—
1246	#123	D₄×C₁₃	1	1	yes	characteristic
1247	#123	D₄×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1258	C₂²⋊Q₈	—	2	1	no	—
1259	C₂²⋊Q₈	—	2	1	no	—
1260	C₂²⋊Q₈	—	2	1	no	—
1261	C₂²⋊Q₈	—	2	1	no	—
1262	C₂²⋊Q₈	—	2	1	no	—
1263	C₂²⋊Q₈	—	2	1	no	—
1264	C₂²⋊Q₈	—	2	1	no	—
1265	C₂²⋊Q₈	D₄×C₁₃	1	1	yes	characteristic
1266	C₂²⋊Q₈	D₄×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	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1271	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1272	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1273	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1274	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
1275	C₂²⋊Q₈	C₂³×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1284	#121	—	2	1	no	—
1285	#121	—	2	1	no	—
1286	#121	—	2	1	no	—
1287	#121	—	2	1	no	—
1288	#121	—	2	1	no	—
1289	#121	—	2	1	no	—
1290	#121	—	2	1	no	—
1291	#121	—	2	1	no	—
1292	#121	—	2	1	no	—
1293	#121	—	2	1	no	—
1294	#121	D₄×C₁₃	1	1	yes	characteristic
1295	#121	D₄×C₁₃	1	1	yes	characteristic
1296	#121	C₂³×C₁₃	1	1	yes	characteristic
1297	#121	C₂³×C₁₃	1	1	yes	characteristic
1298	#121	C₂³×C₁₃	1	1	yes	characteristic
1299	#121	C₂³×C₁₃	1	1	yes	characteristic
1300	#121	C₂³×C₁₃	1	1	yes	characteristic
1301	#121	C₂³×C₁₃	1	1	yes	characteristic
1302	#121	C₂³×C₁₃	1	1	yes	characteristic
1303	#121	C₂³×C₁₃	1	1	yes	characteristic
1304	#121	C₂³×C₁₃	1	1	yes	characteristic
1305	#121	C₂³×C₁₃	1	1	yes	characteristic
1306	#121	C₂³×C₁₃	1	1	yes	characteristic
1307	#120	—	2	1	no	—
1308	#120	—	2	1	no	—
1309	#120	—	2	1	no	—
1310	#120	—	2	1	no	—
1311	#120	—	2	1	no	—
1312	#120	—	2	1	no	—
1313	#120	—	2	1	no	—
1314	#120	—	2	1	no	—
1315	#120	D₄×C₁₃	1	1	yes	characteristic
1316	#120	D₄×C₁₃	1	1	yes	characteristic
1317	C₄×Q₈	—	2	1	no	—
1318	C₄×Q₈	—	2	1	no	—
1319	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1320	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1321	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1322	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1323	C₄×Q₈	C₂³×C₁₃	1	1	yes	characteristic
1324	C₄×D₄	—	2	1	no	—
1325	C₄×D₄	—	2	1	no	—
1326	C₄×D₄	—	2	1	no	—
1327	C₄×D₄	—	2	1	no	—
1328	C₄×D₄	—	2	1	no	—
1329	C₄×D₄	—	2	1	no	—
1330	C₄×D₄	—	2	1	no	—
1331	C₄×D₄	—	2	1	no	—
1332	C₄×D₄	—	2	1	no	—
1333	C₄×D₄	—	2	1	no	—
1334	C₄×D₄	—	2	1	no	—
1335	C₄×D₄	—	2	1	no	—
1336	C₄×D₄	—	2	1	no	—
1337	C₄×D₄	—	2	1	no	—
1338	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1339	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1340	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1341	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1342	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1343	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1344	C₄×D₄	C₂³×C₁₃	1	1	yes	characteristic
1345	#117	—	2	1	no	—
1346	#117	—	2	1	no	—
1347	#117	—	2	1	no	—
1348	#117	—	2	1	no	—
1349	#117	C₂³×C₁₃	1	1	yes	characteristic
1350	#117	C₂³×C₁₃	1	1	yes	characteristic
1351	#117	C₂³×C₁₃	1	1	yes	characteristic
1352	#117	C₂³×C₁₃	1	1	yes	characteristic
1353	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1354	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1355	C₂×C₂²⋊C₄	—	2	1	no	—
1356	C₂×C₂²⋊C₄	—	2	1	no	—
1357	C₂×C₂²⋊C₄	—	2	1	no	—
1358	#107	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	#106	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	C₄⋊C₈	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	#103	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	#103	C₂³×C₁₃	1	1	yes	characteristic
1390	#103	C₂³×C₁₃	1	1	yes	characteristic
1391	#103	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	C₂²⋊C₈	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	#97	C₂³×C₁₃	1	1	yes	characteristic
1415	#97	C₂³×C₁₃	1	1	yes	characteristic
1416	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1417	C₄×C₈	C₂³×C₁₃	1	1	yes	characteristic
1418	C₂×C₁₃	—	2	2	no	—
1419	C₂×C₁₃	—	4	1	no	—
1420	C₂×C₁₃	—	4	1	no	—
1421	C₂×C₁₃	—	4	1	no	—
1422	C₂×C₁₃	—	4	1	no	—
1423	C₂×C₁₃	—	8	1	no	—
1424	C₂×C₁₃	—	8	1	no	—
1425	C₂×C₁₃	—	8	1	no	—
1426	C₂×C₁₃	—	8	1	no	—
1427	C₂×C₁₃	#3484	1	1	yes	characteristic
1428	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1429	C₂×C₁₃	#3586	1	1	yes	characteristic
1430	C₂⁴	—	2	1	no	—
1431	C₂⁴	—	2	1	no	—
1432	C₂⁴	C₂×D₄×C₁₃	1	1	yes	characteristic
1433	#41	—	2	2	no	—
1434	#41	—	2	2	no	—
1435	#41	—	4	1	no	—
1436	#41	—	4	1	no	—
1437	#41	—	4	1	no	—
1438	#41	—	4	1	no	—
1439	#41	—	4	1	no	—
1440	#41	—	4	1	no	—
1441	#41	—	4	4	no	—
1442	#41	—	4	4	no	—
1443	#41	—	4	1	no	—
1444	#41	—	4	1	no	—
1445	#41	—	4	1	no	—
1446	#41	—	4	1	no	—
1447	#41	—	4	4	no	—
1448	#41	—	8	2	no	—
1449	C₂×Q₈	—	2	2	no	—
1450	C₂×Q₈	—	2	2	no	—
1451	C₂×Q₈	—	2	1	no	—
1452	C₂×Q₈	—	2	1	no	—
1453	C₂×Q₈	—	2	1	no	—
1454	C₂×Q₈	—	2	1	no	—
1455	C₂×Q₈	—	2	1	no	—
1456	C₂×Q₈	—	2	1	no	—
1457	C₂×Q₈	—	2	1	no	—
1458	C₂×Q₈	—	2	1	no	—
1459	C₂×Q₈	—	2	1	no	—
1460	C₂×Q₈	—	2	2	no	—
1461	C₂×Q₈	—	2	2	no	—
1462	C₂×Q₈	—	2	2	no	—
1463	C₂×Q₈	—	2	2	no	—
1464	C₂×Q₈	—	2	2	no	—
1465	C₂×Q₈	—	2	2	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	—	4	1	no	—
1472	C₂×Q₈	—	4	1	no	—
1473	C₂×Q₈	—	4	1	no	—
1474	C₂×Q₈	—	4	4	no	—
1475	C₂×Q₈	—	4	4	no	—
1476	C₂×Q₈	—	4	4	no	—
1477	C₂×Q₈	—	4	4	no	—
1478	C₂×Q₈	C₂×D₄×C₁₃	1	1	yes	characteristic
1479	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1480	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1481	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1482	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1483	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
1484	C₂×Q₈	C₂⁴×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	2	1	no	—
1505	C₂×D₄	—	4	1	no	—
1506	C₂×D₄	—	4	1	no	—
1507	C₂×D₄	—	4	1	no	—
1508	C₂×D₄	—	4	1	no	—
1509	C₂×D₄	—	8	2	no	—
1510	C₂×D₄	—	8	2	no	—
1511	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1512	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1513	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1514	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1515	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1516	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1517	C₂×D₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1518	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1519	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1520	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
1521	C₂×D₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1532	C₂²×C₄	—	2	1	no	—
1533	C₂²×C₄	—	2	1	no	—
1534	C₂²×C₄	—	2	1	no	—
1535	C₂²×C₄	—	2	1	no	—
1536	C₂²×C₄	—	2	1	no	—
1537	C₂²×C₄	—	2	1	no	—
1538	C₂²×C₄	—	2	1	no	—
1539	C₂²×C₄	—	2	1	no	—
1540	C₂²×C₄	—	4	1	no	—
1541	C₂²×C₄	—	4	1	no	—
1542	C₂²×C₄	—	4	4	no	—
1543	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1544	C₂²×C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1545	C₂²×C₄	C₂×D₄×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	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	SD₁₆	—	2	2	no	—
1557	SD₁₆	—	2	2	no	—
1558	SD₁₆	—	2	2	no	—
1559	SD₁₆	—	2	2	no	—
1560	SD₁₆	—	2	2	no	—
1561	SD₁₆	—	2	2	no	—
1562	SD₁₆	—	4	1	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	SD₁₆	—	4	1	no	—
1572	D₈	—	4	1	no	—
1573	D₈	—	4	1	no	—
1574	D₈	—	4	1	no	—
1575	M₁₆	—	4	1	no	—
1576	M₁₆	—	4	1	no	—
1577	M₁₆	—	4	1	no	—
1578	M₁₆	—	4	1	no	—
1579	C₂×C₈	—	4	1	no	—
1580	C₂×C₈	—	4	1	no	—
1581	C₂×C₈	—	4	1	no	—
1582	C₂×C₈	—	4	1	no	—
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	C₂×C₈	C₂⁴×C₁₃	1	1	yes	characteristic
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	C₂×D₄×C₁₃	1	1	yes	characteristic
1615	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
1616	C₄⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁴×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	C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄×C₁₃	1	1	yes	characteristic
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	C₂²⋊C₄	C₂×D₄×C₁₃	1	1	yes	characteristic
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	—	2	1	no	—
1676	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1677	C₄²	C₂⁴×C₁₃	1	1	yes	characteristic
1678	C₁₃	#61611	1	1	yes	characteristic, direct product factor, Sylow
1679	C₂³	—	2	2	no	—
1680	C₂³	—	2	1	no	—
1681	C₂³	—	2	1	no	—
1682	C₂³	—	2	1	no	—
1683	C₂³	—	2	1	no	—
1684	C₂³	—	4	1	no	—
1685	C₂³	—	4	1	no	—
1686	C₂³	—	4	2	no	—
1687	C₂³	—	8	1	no	—
1688	C₂³	—	8	1	no	—
1689	C₂³	—	8	1	no	—
1690	C₂³	—	8	1	no	—
1691	C₂³	—	8	1	no	—
1692	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1693	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1694	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1695	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1696	C₂³	C₂²×D₄×C₁₃	1	1	yes	characteristic
1697	Q₈	—	2	4	no	—
1698	Q₈	—	2	1	no	—
1699	Q₈	—	2	1	no	—
1700	Q₈	—	2	1	no	—
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	—	4	1	no	—
1709	Q₈	—	4	2	no	—
1710	Q₈	—	4	2	no	—
1711	Q₈	—	4	2	no	—
1712	Q₈	—	4	2	no	—
1713	Q₈	—	4	2	no	—
1714	Q₈	—	4	2	no	—
1715	Q₈	—	4	2	no	—
1716	Q₈	—	8	1	no	—
1717	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
1718	Q₈	C₁₃×H(5,𝔽₂)	1	2	yes	—
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	—	2	1	no	—
1729	D₄	—	4	1	no	—
1730	D₄	—	4	1	no	—
1731	D₄	—	4	1	no	—
1732	D₄	—	4	1	no	—
1733	D₄	—	4	1	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	—	8	1	no	—
1741	D₄	—	8	1	no	—
1742	D₄	—	8	1	no	—
1743	D₄	—	8	1	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	—	8	1	no	—
1750	D₄	—	8	1	no	—
1751	D₄	—	8	1	no	—
1752	D₄	—	8	1	no	—
1753	D₄	—	8	1	no	—
1754	C₂×C₄	—	2	4	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	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	2	1	no	—
1776	C₂×C₄	—	2	1	no	—
1777	C₂×C₄	—	4	1	no	—
1778	C₂×C₄	—	4	1	no	—
1779	C₂×C₄	—	4	1	no	—
1780	C₂×C₄	—	4	2	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	—	8	1	no	—
1792	C₂×C₄	—	8	1	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	C₂²×D₄×C₁₃	1	1	yes	characteristic
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	C₂⁵×C₁₃	1	1	yes	characteristic
1807	C₈	—	2	1	no	—
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	C₂²	—	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	1	no	—
1829	C₂²	—	4	4	no	—
1830	C₂²	—	4	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	—	16	2	no	—
1843	C₂²	—	16	2	no	—
1844	C₂²	C₁₃×#577	1	2	yes	—
1845	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1846	C₄	—	2	1	no	—
1847	C₄	—	2	1	no	—
1848	C₄	—	2	1	no	—
1849	C₄	—	2	1	no	—
1850	C₄	—	2	2	no	—
1851	C₄	—	2	2	no	—
1852	C₄	—	2	1	no	—
1853	C₄	—	2	1	no	—
1854	C₄	—	2	1	no	—
1855	C₄	—	2	1	no	—
1856	C₄	—	2	1	no	—
1857	C₄	—	4	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	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1868	C₄	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1869	C₂	—	2	2	no	—
1870	C₂	—	4	1	no	—
1871	C₂	—	4	1	no	—
1872	C₂	—	4	1	no	—
1873	C₂	—	4	1	no	—
1874	C₂	—	8	1	no	—
1875	C₂	—	8	1	no	—
1876	C₂	—	8	1	no	—
1877	C₂	—	8	1	no	—
1878	C₂	C₁₃×#3484	1	1	yes	characteristic
1879	C₂	C₂×C₁₃×#577	1	1	yes	characteristic
1880	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 ◁ C₁₃×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₃×#3542	C₂	semidirect
2. C₁₃×#3486	C₂	semidirect
3. C₁₃×#3329	C₂	semidirect
4. C₁₃×#3326	C₂	semidirect
5. C₁₃×#3321	C₂	semidirect
6. C₁₃×#3320	C₂	semidirect
7. C₁₃×#3312	C₂	semidirect
8. C₁₃×#3308	C₂	semidirect
9. C₁₃×#3300	C₂	semidirect
10. C₁₃×#3298	C₂	semidirect
11. C₁₃×#3282	C₂	semidirect
12. D₄×C₁₃×SD₁₆	C₂	semidirect
13. C₁₃×#3278	C₂	semidirect
14. C₁₃×#3275	C₂	semidirect
15. C₁₃×#3271	C₂	semidirect
16. C₁₃×#3266	C₂	semidirect
17. C₁₃×#3266	C₂	semidirect
18. C₁₃×#3265	C₂	semidirect
19. C₁₃×#3225	C₂	semidirect
20. C₁₃×#3221	C₂	semidirect
21. C₁₃×#3201	C₂	semidirect
22. C₁₃×#3200	C₂	semidirect
23. C₁₃×#3194	C₂	semidirect
24. C₁₃×#3191	C₂	semidirect
25. C₁₃×#3126	C₂	semidirect
26. C₁₃×#3121	C₂	semidirect
27. C₁₃×#3013	C₂	semidirect
28. C₁₃×#3010	C₂	semidirect
29. C₁₃×#3004	C₂	semidirect
30. C₂×C₁₃×#448	C₂	semidirect
31. C₁₃×#2976	C₂	semidirect
32. C₂×C₁₃×2₋¹⁺⁴	C₂²	semidirect
33. C₂³×Q₈×C₁₃	C₂²	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
41. C₂²×C₁₃×SD₁₆	C₂²	semidirect
52. D₄×Q₈×C₁₃	C₂²	semidirect
53. D₄×Q₈×C₁₃	C₂²	semidirect
54. D₄×Q₈×C₁₃	C₂²	semidirect
58. C₁₃×#548	C₂²	semidirect
59. C₁₃×#548	C₂²	semidirect
60. C₁₃×#548	C₂²	semidirect
73. C₁₃×#536	C₂²	semidirect
74. C₁₃×#536	C₂²	semidirect
82. C₁₃×#525	C₂²	semidirect
84. C₁₃×#519	C₂²	semidirect
85. C₁₃×#497	C₂²	semidirect
86. C₁₃×#496	C₂²	semidirect
87. C₁₃×#495	C₂²	semidirect
88. C₁₃×#492	C₂²	semidirect
89. C₁₃×#491	C₂²	semidirect
90. C₁₃×#489	C₂²	semidirect
91. C₁₃×#488	C₂²	semidirect
92. C₁₃×#487	C₂²	semidirect
93. C₁₃×#485	C₂²	semidirect
94. C₁₃×#485	C₂²	semidirect
95. C₁₃×#485	C₂²	semidirect
96. C₁₃×#485	C₂²	semidirect
97. C₁₃×#484	C₂²	semidirect
98. C₁₃×#483	C₂²	semidirect
99. C₁₃×#483	C₂²	semidirect
101. C₁₃×#482	C₂²	semidirect
102. C₁₃×#482	C₂²	semidirect
103. C₁₃×#482	C₂²	semidirect
104. C₁₃×#480	C₂²	semidirect
105. C₁₃×#479	C₂²	semidirect
106. C₁₃×#479	C₂²	semidirect
107. C₁₃×#477	C₂²	semidirect
108. C₁₃×#475	C₂²	semidirect
109. C₁₃×#470	C₂²	semidirect
111. 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
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×#461	C₂²	semidirect
133. C₁₃×#461	C₂²	semidirect
134. C₁₃×#461	C₂²	semidirect
135. C₁₃×#460	C₂²	semidirect
136. C₁₃×#460	C₂²	semidirect
137. C₁₃×#452	C₂²	semidirect
138. C₁₃×#452	C₂²	semidirect
139. C₁₃×#452	C₂²	semidirect
140. C₁₃×#452	C₂²	semidirect
141. C₁₃×#452	C₂²	semidirect
142. C₁₃×#451	C₂²	semidirect
143. C₁₃×#451	C₂²	semidirect
144. C₁₃×#451	C₂²	semidirect
145. C₁₃×#451	C₂²	semidirect
146. C₁₃×#451	C₂²	semidirect
148. C₁₃×#450	C₂²	semidirect
149. C₁₃×#450	C₂²	semidirect
151. C₁₃×#449	C₂²	semidirect
152. C₁₃×#449	C₂²	semidirect
153. C₁₃×#449	C₂²	semidirect
154. C₁₃×#449	C₂²	semidirect
155. C₁₃×#449	C₂²	semidirect
156. C₁₃×#449	C₂²	semidirect
163. C₁₃×#448	C₂²	semidirect
164. C₁₃×#448	C₂²	semidirect
165. C₁₃×#448	C₂²	semidirect
166. C₁₃×#448	C₂²	semidirect
167. C₁₃×#448	C₂²	semidirect
168. C₁₃×#448	C₂²	semidirect
169. C₁₃×#448	C₂²	semidirect
170. C₁₃×#448	C₂²	semidirect
171. C₁₃×#448	C₂²	semidirect
173. C₁₃×#441	C₂²	semidirect
174. C₁₃×#440	C₂²	semidirect
175. C₁₃×#440	C₂²	semidirect
176. C₁₃×#440	C₂²	semidirect
177. C₄×C₁₃×Q₁₆	C₂²	semidirect
178. C₄×C₁₃×SD₁₆	C₂²	semidirect
179. C₄×C₁₃×SD₁₆	C₂²	semidirect
180. C₄×C₁₃×SD₁₆	C₂²	semidirect
181. C₁₃×#436	C₂²	semidirect
182. C₁₃×#436	C₂²	semidirect
184. C₁₃×#435	C₂²	semidirect
185. C₁₃×#435	C₂²	semidirect
186. C₁₃×#435	C₂²	semidirect
188. C₈×D₄×C₁₃	C₂²	semidirect
189. C₁₃×#433	C₂²	semidirect
190. C₁₃×#433	C₂²	semidirect
191. C₁₃×#419	C₂²	semidirect
192. C₁₃×#419	C₂²	semidirect
193. C₁₃×#419	C₂²	semidirect
194. C₁₃×#417	C₂²	semidirect
195. C₁₃×#416	C₂²	semidirect
196. C₂×C₁₃×#103	C₂²	semidirect
197. C₂×C₁₃×#103	C₂²	semidirect
198. C₂×C₁₃×#103	C₂²	semidirect
199. C₁₃×#408	C₂²	semidirect
200. C₁₃×#408	C₂²	semidirect
201. C₁₃×#407	C₂²	semidirect
202. C₂×C₁₃×C₂²⋊C₈	C₂²	semidirect
490. #61611	C₁₃	direct (N × H)
739. #3542	C₂×C₁₃	semidirect
740. #3486	C₂×C₁₃	semidirect
741. #3329	C₂×C₁₃	semidirect
742. #3326	C₂×C₁₃	semidirect
743. #3321	C₂×C₁₃	semidirect
744. #3320	C₂×C₁₃	semidirect
745. #3312	C₂×C₁₃	semidirect
746. #3308	C₂×C₁₃	semidirect
747. #3300	C₂×C₁₃	semidirect
748. #3298	C₂×C₁₃	semidirect
749. #3282	C₂×C₁₃	semidirect
750. D₄×SD₁₆	C₂×C₁₃	semidirect
751. #3278	C₂×C₁₃	semidirect
752. #3275	C₂×C₁₃	semidirect
753. #3271	C₂×C₁₃	semidirect
754. #3266	C₂×C₁₃	semidirect
755. #3266	C₂×C₁₃	semidirect
756. #3265	C₂×C₁₃	semidirect
757. #3225	C₂×C₁₃	semidirect
758. #3221	C₂×C₁₃	semidirect
759. #3201	C₂×C₁₃	semidirect
760. #3200	C₂×C₁₃	semidirect
761. #3194	C₂×C₁₃	semidirect
762. #3191	C₂×C₁₃	semidirect
763. #3126	C₂×C₁₃	semidirect
764. #3121	C₂×C₁₃	semidirect
765. #3013	C₂×C₁₃	semidirect
766. #3010	C₂×C₁₃	semidirect
767. #3004	C₂×C₁₃	semidirect
768. C₂×#448	C₂×C₁₃	semidirect
769. #2976	C₂×C₁₃	semidirect
906. C₂×2₋¹⁺⁴	C₂²×C₁₃	semidirect
907. C₂³×Q₈	C₂²×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
915. C₂²×SD₁₆	C₂²×C₁₃	semidirect
926. D₄×Q₈	C₂²×C₁₃	semidirect
927. D₄×Q₈	C₂²×C₁₃	semidirect
928. D₄×Q₈	C₂²×C₁₃	semidirect
932. #548	C₂²×C₁₃	semidirect
933. #548	C₂²×C₁₃	semidirect
934. #548	C₂²×C₁₃	semidirect
947. #536	C₂²×C₁₃	semidirect
948. #536	C₂²×C₁₃	semidirect
956. #525	C₂²×C₁₃	semidirect
958. #519	C₂²×C₁₃	semidirect
959. #497	C₂²×C₁₃	semidirect
960. #496	C₂²×C₁₃	semidirect
961. #495	C₂²×C₁₃	semidirect
962. #492	C₂²×C₁₃	semidirect
963. #491	C₂²×C₁₃	semidirect
964. #489	C₂²×C₁₃	semidirect
965. #488	C₂²×C₁₃	semidirect
966. #487	C₂²×C₁₃	semidirect
967. #485	C₂²×C₁₃	semidirect
968. #485	C₂²×C₁₃	semidirect
969. #485	C₂²×C₁₃	semidirect
970. #485	C₂²×C₁₃	semidirect
971. #484	C₂²×C₁₃	semidirect
972. #483	C₂²×C₁₃	semidirect
973. #483	C₂²×C₁₃	semidirect
975. #482	C₂²×C₁₃	semidirect
976. #482	C₂²×C₁₃	semidirect
977. #482	C₂²×C₁₃	semidirect
978. #480	C₂²×C₁₃	semidirect
979. #479	C₂²×C₁₃	semidirect
980. #479	C₂²×C₁₃	semidirect
981. #477	C₂²×C₁₃	semidirect
982. #475	C₂²×C₁₃	semidirect
983. #470	C₂²×C₁₃	semidirect
985. #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
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. #461	C₂²×C₁₃	semidirect
1007. #461	C₂²×C₁₃	semidirect
1008. #461	C₂²×C₁₃	semidirect
1009. #460	C₂²×C₁₃	semidirect
1010. #460	C₂²×C₁₃	semidirect
1011. #452	C₂²×C₁₃	semidirect
1012. #452	C₂²×C₁₃	semidirect
1013. #452	C₂²×C₁₃	semidirect
1014. #452	C₂²×C₁₃	semidirect
1015. #452	C₂²×C₁₃	semidirect
1016. #451	C₂²×C₁₃	semidirect
1017. #451	C₂²×C₁₃	semidirect
1018. #451	C₂²×C₁₃	semidirect
1019. #451	C₂²×C₁₃	semidirect
1020. #451	C₂²×C₁₃	semidirect
1022. #450	C₂²×C₁₃	semidirect
1023. #450	C₂²×C₁₃	semidirect
1025. #449	C₂²×C₁₃	semidirect
1026. #449	C₂²×C₁₃	semidirect
1027. #449	C₂²×C₁₃	semidirect
1028. #449	C₂²×C₁₃	semidirect
1029. #449	C₂²×C₁₃	semidirect
1030. #449	C₂²×C₁₃	semidirect
1037. #448	C₂²×C₁₃	semidirect
1038. #448	C₂²×C₁₃	semidirect
1039. #448	C₂²×C₁₃	semidirect
1040. #448	C₂²×C₁₃	semidirect
1041. #448	C₂²×C₁₃	semidirect
1042. #448	C₂²×C₁₃	semidirect
1043. #448	C₂²×C₁₃	semidirect
1044. #448	C₂²×C₁₃	semidirect
1045. #448	C₂²×C₁₃	semidirect
1047. #441	C₂²×C₁₃	semidirect
1048. #440	C₂²×C₁₃	semidirect
1049. #440	C₂²×C₁₃	semidirect
1050. #440	C₂²×C₁₃	semidirect
1051. C₄×Q₁₆	C₂²×C₁₃	semidirect
1052. C₄×SD₁₆	C₂²×C₁₃	semidirect
1053. C₄×SD₁₆	C₂²×C₁₃	semidirect
1054. C₄×SD₁₆	C₂²×C₁₃	semidirect
1055. #436	C₂²×C₁₃	semidirect
1056. #436	C₂²×C₁₃	semidirect
1058. #435	C₂²×C₁₃	semidirect
1059. #435	C₂²×C₁₃	semidirect
1060. #435	C₂²×C₁₃	semidirect
1062. C₈×D₄	C₂²×C₁₃	semidirect
1063. #433	C₂²×C₁₃	semidirect
1064. #433	C₂²×C₁₃	semidirect
1065. #419	C₂²×C₁₃	semidirect
1066. #419	C₂²×C₁₃	semidirect
1067. #419	C₂²×C₁₃	semidirect
1068. #417	C₂²×C₁₃	semidirect
1069. #416	C₂²×C₁₃	semidirect
1070. C₂×#103	C₂²×C₁₃	semidirect
1071. C₂×#103	C₂²×C₁₃	semidirect
1072. C₂×#103	C₂²×C₁₃	semidirect
1073. #408	C₂²×C₁₃	semidirect
1074. #408	C₂²×C₁₃	semidirect
1075. #407	C₂²×C₁₃	semidirect
1076. C₂×C₂²⋊C₈	C₂²×C₁₃	semidirect
1678. C₁₃	#61611	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×#3542	2
C₁₃×#3486	2
C₁₃×#3329	2
C₁₃×#3326	2
C₁₃×#3321	2
C₁₃×#3320	2
C₁₃×#3312	2
C₁₃×#3308	2
C₁₃×#3300	2
C₁₃×#3298	2
C₁₃×#3282	2
D₄×C₁₃×SD₁₆	2
C₁₃×#3278	2
C₁₃×#3275	2
C₁₃×#3271	2
C₁₃×#3266	2
C₁₃×#3265	2
C₁₃×#3225	2
C₁₃×#3221	2
C₁₃×#3201	2
C₁₃×#3200	2
C₁₃×#3194	2
C₁₃×#3191	2
C₁₃×#3126	2
C₁₃×#3121	2
C₁₃×#3013	2
C₁₃×#3010	2
C₁₃×#3004	2
C₂×C₁₃×#448	2
C₁₃×#2976	2
#61611	13

Subgroups — C13×#61611 #15747950

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#61611 #15747950