Subgroups — C₁₃×#34735 #15721074

Order 3328.

2562 conjugacy classes of subgroups.

The subgroup lattice has 1564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×C₁₃×#41	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2479	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2478	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2475	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2474	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2469	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2468	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2462	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2461	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2449	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2443	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2438	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2430	C₂	1	1	yes	maximal, characteristic
15	C₁₃×#2425	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2419	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2413	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2406	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2399	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2396	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2395	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2392	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×C₁₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×C₁₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×C₁₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2296	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₁₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
33	C₁₃×#529	—	2	8	no	—
34	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
47	C₄×C₁₃×#41	—	2	8	no	—
48	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
53	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
54	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
55	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
57	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
58	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
60	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
62	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
63	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
64	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
65	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
66	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
67	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
68	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
69	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
70	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
71	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
72	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
73	C₁₃×#400	C₂²	1	1	yes	characteristic
74	C₁₃×#400	C₂²	1	1	yes	characteristic
75	C₁₃×#399	C₂²	1	1	yes	characteristic
76	C₁₃×#399	C₂²	1	1	yes	characteristic
77	C₁₃×#398	C₂²	1	1	yes	characteristic
78	C₁₃×#398	C₂²	1	1	yes	characteristic
79	C₁₃×#398	C₂²	1	1	yes	characteristic
80	C₁₃×#398	C₂²	1	1	yes	characteristic
81	C₁₃×#398	C₂²	1	1	yes	characteristic
82	C₁₃×#398	C₂²	1	1	yes	characteristic
83	C₁₃×#398	C₂²	1	1	yes	characteristic
84	C₁₃×#398	C₂²	1	1	yes	characteristic
85	C₁₃×#397	C₂²	1	1	yes	characteristic
86	C₁₃×#397	C₂²	1	1	yes	characteristic
87	C₁₃×#397	C₂²	1	1	yes	characteristic
88	C₁₃×#397	C₂²	1	1	yes	characteristic
89	C₁₃×#396	C₂²	1	1	yes	characteristic
90	C₁₃×#396	C₂²	1	1	yes	characteristic
91	C₁₃×#396	C₂²	1	1	yes	characteristic
92	C₁₃×#396	C₂²	1	1	yes	characteristic
93	C₁₃×#395	C₂²	1	1	yes	characteristic
94	C₁₃×#395	C₂²	1	1	yes	characteristic
95	C₁₃×#395	C₂²	1	1	yes	characteristic
96	C₁₃×#395	C₂²	1	1	yes	characteristic
97	C₁₃×#395	C₂²	1	1	yes	characteristic
98	C₁₃×#394	C₂²	1	1	yes	characteristic
99	C₁₃×#394	C₂²	1	1	yes	characteristic
100	C₁₃×#394	C₂²	1	1	yes	characteristic
101	C₁₃×#394	C₂²	1	1	yes	characteristic
102	C₁₃×#394	C₂²	1	1	yes	characteristic
103	C₁₃×#393	C₂²	1	1	yes	characteristic
104	C₁₃×#392	C₂²	1	1	yes	characteristic
105	C₁₃×#391	C₂²	1	1	yes	characteristic
106	C₁₃×#390	C₂²	1	1	yes	characteristic
107	C₁₃×#389	C₂²	1	1	yes	characteristic
108	C₁₃×#389	C₂²	1	1	yes	characteristic
109	C₁₃×#389	C₂²	1	1	yes	characteristic
110	C₁₃×#389	C₂²	1	1	yes	characteristic
111	C₁₃×#389	C₂²	1	1	yes	characteristic
112	C₁₃×#389	C₂²	1	1	yes	characteristic
113	C₁₃×#388	C₂²	1	1	yes	characteristic
114	C₁₃×#388	C₂²	1	1	yes	characteristic
115	C₁₃×#388	C₂²	1	1	yes	characteristic
116	C₁₃×#388	C₂²	1	1	yes	characteristic
117	C₁₃×#388	C₂²	1	1	yes	characteristic
118	C₁₃×#388	C₂²	1	1	yes	characteristic
119	C₁₃×#388	C₂²	1	1	yes	characteristic
120	C₁₃×#388	C₂²	1	1	yes	characteristic
121	C₁₃×#388	C₂²	1	1	yes	characteristic
122	C₁₃×#388	C₂²	1	1	yes	characteristic
123	C₁₃×#388	C₂²	1	1	yes	characteristic
124	C₁₃×#388	C₂²	1	1	yes	characteristic
125	C₁₃×#387	C₂²	1	1	yes	characteristic
126	C₁₃×#387	C₂²	1	1	yes	characteristic
127	C₁₃×#387	C₂²	1	1	yes	characteristic
128	C₁₃×#387	C₂²	1	1	yes	characteristic
129	C₁₃×#387	C₂²	1	1	yes	characteristic
130	C₁₃×#387	C₂²	1	1	yes	characteristic
131	C₁₃×#387	C₂²	1	1	yes	characteristic
132	C₁₃×#387	C₂²	1	1	yes	characteristic
133	C₁₃×#387	C₂²	1	1	yes	characteristic
134	C₁₃×#387	C₂²	1	1	yes	characteristic
135	C₁₃×#387	C₂²	1	1	yes	characteristic
136	C₁₃×#387	C₂²	1	1	yes	characteristic
137	C₁₃×#386	C₂²	1	1	yes	characteristic
138	C₁₃×#386	C₂²	1	1	yes	characteristic
139	C₁₃×#386	C₂²	1	1	yes	characteristic
140	C₁₃×#386	C₂²	1	1	yes	characteristic
141	C₁₃×#386	C₂²	1	1	yes	characteristic
142	C₁₃×#386	C₂²	1	1	yes	characteristic
143	C₁₃×#386	C₂²	1	1	yes	characteristic
144	C₁₃×#386	C₂²	1	1	yes	characteristic
145	C₁₃×#386	C₂²	1	1	yes	characteristic
146	C₁₃×#385	C₂²	1	1	yes	characteristic
147	C₁₃×#385	C₂²	1	1	yes	characteristic
148	C₁₃×#385	C₂²	1	1	yes	characteristic
149	C₁₃×#385	C₂²	1	1	yes	characteristic
150	C₁₃×#385	C₂²	1	1	yes	characteristic
151	C₁₃×#385	C₂²	1	1	yes	characteristic
152	C₁₃×#385	C₂²	1	1	yes	characteristic
153	C₁₃×#385	C₂²	1	1	yes	characteristic
154	C₁₃×#385	C₂²	1	1	yes	characteristic
155	C₁₃×#385	C₂²	1	1	yes	characteristic
156	C₁₃×#385	C₂²	1	1	yes	characteristic
157	C₁₃×#385	C₂²	1	1	yes	characteristic
158	C₁₃×#385	C₂²	1	1	yes	characteristic
159	C₁₃×#381	C₂²	1	1	yes	characteristic
160	C₁₃×#381	C₂²	1	1	yes	characteristic
161	C₁₃×#381	C₂²	1	1	yes	characteristic
162	C₁₃×#380	C₂²	1	1	yes	characteristic
163	C₁₃×#380	C₂²	1	1	yes	characteristic
164	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
178	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
179	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
180	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
181	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
182	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
183	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
184	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
185	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
186	C₁₃×#376	C₂²	1	1	yes	characteristic
187	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
188	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
189	C₂×C₁₃×#41	—	2	4	no	—
190	C₂×C₁₃×#41	—	2	4	no	—
191	C₂×C₁₃×#41	—	2	4	no	—
192	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
194	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
195	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
196	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
197	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
198	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
214	C₁₃×#126	—	2	4	no	—
215	C₁₃×#126	—	2	4	no	—
216	C₁₃×#125	—	2	4	no	—
217	C₁₃×#124	—	2	4	no	—
218	C₁₃×#123	—	2	4	no	—
219	C₁₃×#123	—	2	4	no	—
220	C₁₃×#123	—	2	4	no	—
221	C₁₃×#123	—	2	4	no	—
222	C₁₃×#123	—	2	4	no	—
223	C₁₃×C₂²⋊Q₈	—	2	4	no	—
224	C₁₃×C₂²⋊Q₈	—	2	4	no	—
225	C₁₃×#121	—	2	4	no	—
226	C₁₃×#121	—	2	4	no	—
227	C₄×Q₈×C₁₃	—	2	4	no	—
228	C₄×Q₈×C₁₃	—	2	4	no	—
229	C₄×Q₈×C₁₃	—	2	4	no	—
230	C₄×D₄×C₁₃	—	2	4	no	—
231	C₄×D₄×C₁₃	—	2	4	no	—
232	C₄×D₄×C₁₃	—	2	4	no	—
233	C₄×D₄×C₁₃	—	2	4	no	—
234	C₄×D₄×C₁₃	—	2	4	no	—
235	C₄×D₄×C₁₃	—	2	4	no	—
236	C₄×D₄×C₁₃	—	2	4	no	—
237	C₄×D₄×C₁₃	—	2	4	no	—
238	C₄×D₄×C₁₃	D₄	1	8	yes	complemented
239	C₁₃×#117	—	2	4	no	—
240	C₁₃×#117	—	2	4	no	—
241	C₁₃×#117	—	2	4	no	—
242	C₁₃×#117	—	2	4	no	—
243	C₁₃×#117	—	2	4	no	—
244	C₁₃×#117	—	2	4	no	—
245	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
246	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
247	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₁₃	—	2	4	no	—
320	C₂×C₄²×C₁₃	—	2	4	no	—
321	C₂×C₄²×C₁₃	—	2	4	no	—
322	C₂×C₄²×C₁₃	—	2	4	no	—
323	C₂×C₄²×C₁₃	—	2	4	no	—
324	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
325	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
326	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
332	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
333	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
338	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
341	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
345	C₁₃×#95	C₂³	1	1	yes	characteristic
346	C₁₃×#95	C₂³	1	1	yes	characteristic
347	C₁₃×#95	C₂³	1	1	yes	characteristic
348	C₁₃×#95	C₂³	1	1	yes	characteristic
349	C₁₃×#95	C₂³	1	1	yes	characteristic
350	C₁₃×#95	C₂³	1	1	yes	characteristic
351	C₁₃×#95	C₂³	1	1	yes	characteristic
352	C₁₃×#95	C₂³	1	1	yes	characteristic
353	C₁₃×#95	C₂³	1	1	yes	characteristic
354	C₁₃×#95	C₂³	1	1	yes	characteristic
355	C₁₃×#95	C₂³	1	1	yes	characteristic
356	C₁₃×#95	C₂³	1	1	yes	characteristic
357	C₁₃×#95	C₂³	1	1	yes	characteristic
358	C₁₃×#95	C₂³	1	1	yes	characteristic
359	C₁₃×#95	C₂³	1	1	yes	characteristic
360	C₁₃×#95	C₂³	1	1	yes	characteristic
361	C₁₃×#95	C₂³	1	1	yes	characteristic
362	C₁₃×#95	C₂³	1	1	yes	characteristic
363	C₁₃×#95	C₂³	1	1	yes	characteristic
364	C₁₃×#95	C₂³	1	1	yes	characteristic
365	C₁₃×#95	C₂³	1	1	yes	characteristic
366	C₁₃×#95	C₂³	1	1	yes	characteristic
367	C₁₃×#95	C₂³	1	1	yes	characteristic
368	C₁₃×#95	C₂³	1	1	yes	characteristic
369	C₁₃×#95	C₂³	1	1	yes	characteristic
370	C₁₃×#95	C₂³	1	1	yes	characteristic
371	C₁₃×#95	C₂³	1	1	yes	characteristic
372	C₁₃×#95	C₂³	1	1	yes	characteristic
373	C₁₃×#95	C₂³	1	1	yes	characteristic
374	C₁₃×#95	C₂³	1	1	yes	characteristic
375	C₁₃×#95	C₂³	1	1	yes	characteristic
376	C₁₃×#95	C₂³	1	1	yes	characteristic
377	C₁₃×#95	C₂³	1	1	yes	characteristic
378	C₁₃×#95	C₂³	1	1	yes	characteristic
379	C₁₃×#95	C₂³	1	1	yes	characteristic
380	C₁₃×#95	C₂³	1	1	yes	characteristic
381	C₁₃×#95	C₂³	1	1	yes	characteristic
382	C₁₃×#95	C₂³	1	1	yes	characteristic
383	C₁₃×#95	C₂³	1	1	yes	characteristic
384	C₁₃×#95	C₂³	1	1	yes	characteristic
385	#34735	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
386	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₁₃×#41	—	2	32	no	—
391	C₂×Q₈×C₁₃	—	2	2	no	—
392	C₂×Q₈×C₁₃	—	2	2	no	—
393	C₂×Q₈×C₁₃	—	2	2	no	—
394	C₂×Q₈×C₁₃	—	2	2	no	—
395	C₂×Q₈×C₁₃	—	2	2	no	—
396	C₂×Q₈×C₁₃	—	4	1	no	—
397	C₂×D₄×C₁₃	—	2	2	no	—
398	C₂×D₄×C₁₃	—	2	2	no	—
399	C₂×D₄×C₁₃	—	2	2	no	—
400	C₂×D₄×C₁₃	—	2	2	no	—
401	C₂×D₄×C₁₃	—	2	2	no	—
402	C₂×D₄×C₁₃	—	2	2	no	—
403	C₂×D₄×C₁₃	—	2	2	no	—
404	C₂×D₄×C₁₃	—	2	2	no	—
405	C₂×D₄×C₁₃	—	2	2	no	—
406	C₂×D₄×C₁₃	—	2	2	no	—
407	C₂×D₄×C₁₃	—	2	2	no	—
408	C₂×D₄×C₁₃	—	2	2	no	—
409	C₂×D₄×C₁₃	—	2	2	no	—
410	C₂×D₄×C₁₃	—	2	2	no	—
411	C₂×D₄×C₁₃	—	4	1	no	—
412	C₂×D₄×C₁₃	—	4	1	no	—
413	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
414	C₂×D₄×C₁₃	#41	1	4	yes	—
415	C₂²×C₄×C₁₃	—	2	2	no	—
416	C₂²×C₄×C₁₃	—	2	2	no	—
417	C₂²×C₄×C₁₃	—	2	2	no	—
418	C₂²×C₄×C₁₃	—	2	2	no	—
419	C₂²×C₄×C₁₃	—	2	2	no	—
420	C₂²×C₄×C₁₃	—	2	2	no	—
421	C₂²×C₄×C₁₃	—	2	2	no	—
422	C₂²×C₄×C₁₃	—	2	2	no	—
423	C₂²×C₄×C₁₃	—	2	2	no	—
424	C₂²×C₄×C₁₃	—	2	2	no	—
425	C₂²×C₄×C₁₃	—	2	2	no	—
426	C₂²×C₄×C₁₃	—	2	2	no	—
427	C₂²×C₄×C₁₃	—	2	2	no	—
428	C₂²×C₄×C₁₃	—	2	2	no	—
429	C₂²×C₄×C₁₃	—	2	2	no	—
430	C₂²×C₄×C₁₃	—	2	2	no	—
431	C₂²×C₄×C₁₃	—	2	2	no	—
432	C₂²×C₄×C₁₃	—	2	2	no	—
433	C₂²×C₄×C₁₃	—	2	2	no	—
434	C₂²×C₄×C₁₃	—	2	2	no	—
435	C₂²×C₄×C₁₃	—	2	2	no	—
436	C₂²×C₄×C₁₃	—	2	2	no	—
437	C₂²×C₄×C₁₃	—	2	2	no	—
438	C₂²×C₄×C₁₃	—	2	2	no	—
439	C₂²×C₄×C₁₃	—	2	2	no	—
440	C₂²×C₄×C₁₃	—	2	2	no	—
441	C₂²×C₄×C₁₃	—	2	2	no	—
442	C₂²×C₄×C₁₃	—	2	2	no	—
443	C₂²×C₄×C₁₃	—	2	2	no	—
444	C₂²×C₄×C₁₃	—	2	2	no	—
445	C₂²×C₄×C₁₃	—	2	2	no	—
446	C₂²×C₄×C₁₃	—	2	2	no	—
447	C₂²×C₄×C₁₃	—	2	2	no	—
448	C₂²×C₄×C₁₃	—	2	2	no	—
449	C₂²×C₄×C₁₃	—	4	1	no	—
450	C₂²×C₄×C₁₃	—	4	1	no	—
451	C₂²×C₄×C₁₃	—	4	1	no	—
452	C₂²×C₄×C₁₃	—	4	1	no	—
453	C₂²×C₄×C₁₃	—	4	1	no	—
454	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
455	C₂²×C₄×C₁₃	C₂×D₄	1	4	yes	—
456	C₂²×C₄×C₁₃	#41	1	4	yes	—
457	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
478	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
479	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
480	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
481	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
482	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
483	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
484	C₁₃×C₄⋊C₄	—	2	2	no	—
485	C₁₃×C₄⋊C₄	—	2	2	no	—
486	C₁₃×C₄⋊C₄	—	2	2	no	—
487	C₁₃×C₄⋊C₄	—	2	2	no	—
488	C₁₃×C₄⋊C₄	—	2	2	no	—
489	C₁₃×C₄⋊C₄	—	2	2	no	—
490	C₁₃×C₄⋊C₄	—	2	2	no	—
491	C₁₃×C₄⋊C₄	—	2	2	no	—
492	C₁₃×C₄⋊C₄	—	2	2	no	—
493	C₁₃×C₄⋊C₄	—	2	2	no	—
494	C₁₃×C₄⋊C₄	—	2	2	no	—
495	C₁₃×C₄⋊C₄	—	2	2	no	—
496	C₁₃×C₄⋊C₄	—	2	2	no	—
497	C₁₃×C₄⋊C₄	—	2	2	no	—
498	C₁₃×C₄⋊C₄	—	2	2	no	—
499	C₁₃×C₄⋊C₄	—	2	2	no	—
500	C₁₃×C₄⋊C₄	—	2	2	no	—
501	C₁₃×C₄⋊C₄	—	2	2	no	—
502	C₁₃×C₄⋊C₄	—	2	2	no	—
503	C₁₃×C₄⋊C₄	—	2	2	no	—
504	C₁₃×C₄⋊C₄	—	2	2	no	—
505	C₁₃×C₄⋊C₄	—	2	2	no	—
506	C₁₃×C₄⋊C₄	—	2	2	no	—
507	C₁₃×C₄⋊C₄	—	2	2	no	—
508	C₁₃×C₄⋊C₄	—	2	2	no	—
509	C₁₃×C₄⋊C₄	—	2	2	no	—
510	C₁₃×C₄⋊C₄	—	2	2	no	—
511	C₁₃×C₄⋊C₄	—	2	2	no	—
512	C₁₃×C₄⋊C₄	—	2	2	no	—
513	C₁₃×C₄⋊C₄	—	2	2	no	—
514	C₁₃×C₄⋊C₄	—	2	2	no	—
515	C₁₃×C₄⋊C₄	—	2	2	no	—
516	C₁₃×C₄⋊C₄	—	4	1	no	—
517	C₁₃×C₄⋊C₄	—	4	1	no	—
518	C₁₃×C₄⋊C₄	—	4	1	no	—
519	C₁₃×C₄⋊C₄	—	4	1	no	—
520	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
521	C₁₃×C₄⋊C₄	#41	1	4	yes	complemented
522	C₁₃×C₂²⋊C₄	—	2	2	no	—
523	C₁₃×C₂²⋊C₄	—	2	2	no	—
524	C₁₃×C₂²⋊C₄	—	2	2	no	—
525	C₁₃×C₂²⋊C₄	—	2	2	no	—
526	C₁₃×C₂²⋊C₄	—	2	2	no	—
527	C₁₃×C₂²⋊C₄	—	2	2	no	—
528	C₁₃×C₂²⋊C₄	—	2	2	no	—
529	C₁₃×C₂²⋊C₄	—	2	2	no	—
530	C₁₃×C₂²⋊C₄	—	2	2	no	—
531	C₁₃×C₂²⋊C₄	—	2	2	no	—
532	C₁₃×C₂²⋊C₄	—	2	2	no	—
533	C₁₃×C₂²⋊C₄	—	2	2	no	—
534	C₁₃×C₂²⋊C₄	—	2	2	no	—
535	C₁₃×C₂²⋊C₄	—	2	2	no	—
536	C₁₃×C₂²⋊C₄	—	2	2	no	—
537	C₁₃×C₂²⋊C₄	—	2	2	no	—
538	C₁₃×C₂²⋊C₄	—	2	2	no	—
539	C₁₃×C₂²⋊C₄	—	2	2	no	—
540	C₁₃×C₂²⋊C₄	—	2	2	no	—
541	C₁₃×C₂²⋊C₄	—	2	2	no	—
542	C₁₃×C₂²⋊C₄	—	2	2	no	—
543	C₁₃×C₂²⋊C₄	—	2	2	no	—
544	C₁₃×C₂²⋊C₄	—	2	2	no	—
545	C₁₃×C₂²⋊C₄	—	2	2	no	—
546	C₁₃×C₂²⋊C₄	—	2	2	no	—
547	C₁₃×C₂²⋊C₄	—	2	2	no	—
548	C₁₃×C₂²⋊C₄	—	2	2	no	—
549	C₁₃×C₂²⋊C₄	—	2	2	no	—
550	C₁₃×C₂²⋊C₄	—	2	2	no	—
551	C₁₃×C₂²⋊C₄	—	4	1	no	—
552	C₁₃×C₂²⋊C₄	—	4	1	no	—
553	C₁₃×C₂²⋊C₄	—	4	1	no	—
554	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
555	C₁₃×C₂²⋊C₄	C₂×D₄	1	4	yes	—
556	C₄²×C₁₃	—	2	2	no	—
557	C₄²×C₁₃	—	2	2	no	—
558	C₄²×C₁₃	—	2	2	no	—
559	C₄²×C₁₃	—	2	2	no	—
560	C₄²×C₁₃	—	2	2	no	—
561	C₄²×C₁₃	—	2	2	no	—
562	C₄²×C₁₃	—	2	2	no	—
563	C₄²×C₁₃	—	2	2	no	—
564	C₄²×C₁₃	—	2	2	no	—
565	C₄²×C₁₃	—	2	2	no	—
566	C₄²×C₁₃	—	2	2	no	—
567	C₄²×C₁₃	—	2	2	no	—
568	C₄²×C₁₃	—	2	2	no	—
569	C₄²×C₁₃	—	2	2	no	—
570	C₄²×C₁₃	—	2	2	no	—
571	C₄²×C₁₃	—	2	2	no	—
572	C₄²×C₁₃	—	2	2	no	—
573	C₄²×C₁₃	—	2	2	no	—
574	C₄²×C₁₃	—	2	2	no	—
575	C₄²×C₁₃	C₂×D₄	1	4	yes	—
576	C₄²×C₁₃	#41	1	4	yes	complemented
577	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
578	C₂×C₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
579	#2479	C₂×C₁₃	1	1	yes	characteristic, complemented
580	#2478	C₂×C₁₃	1	1	yes	characteristic, complemented
581	#2475	C₂×C₁₃	1	1	yes	characteristic, complemented
582	#2474	C₂×C₁₃	1	1	yes	characteristic, complemented
583	#2469	C₂×C₁₃	1	1	yes	characteristic, complemented
584	#2468	C₂×C₁₃	1	1	yes	characteristic, complemented
585	#2462	C₂×C₁₃	1	1	yes	characteristic, complemented
586	#2461	C₂×C₁₃	1	1	yes	characteristic, complemented
587	#2449	C₂×C₁₃	1	1	yes	characteristic, complemented
588	#2443	C₂×C₁₃	1	1	yes	characteristic, complemented
589	#2438	C₂×C₁₃	1	1	yes	characteristic, complemented
590	#2430	C₂×C₁₃	1	1	yes	characteristic
591	#2425	C₂×C₁₃	1	1	yes	characteristic, complemented
592	#2419	C₂×C₁₃	1	1	yes	characteristic, complemented
593	#2413	C₂×C₁₃	1	1	yes	characteristic, complemented
594	#2406	C₂×C₁₃	1	1	yes	characteristic, complemented
595	#2399	C₂×C₁₃	1	1	yes	characteristic, complemented
596	#2396	C₂×C₁₃	1	1	yes	characteristic, complemented
597	#2395	C₂×C₁₃	1	1	yes	characteristic, complemented
598	#2392	C₂×C₁₃	1	1	yes	characteristic, complemented
599	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
600	C₄×#123	C₂×C₁₃	1	1	yes	characteristic, complemented
601	C₄×#123	C₂×C₁₃	1	1	yes	characteristic, complemented
602	C₄×#123	C₂×C₁₃	1	1	yes	characteristic, complemented
603	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
604	#2296	C₂×C₁₃	1	1	yes	characteristic, complemented
605	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
606	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
607	C₂×C₄×C₄⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
608	C₂³×C₁₃	—	2	1	no	—
609	C₂³×C₁₃	—	2	1	no	—
610	C₂³×C₁₃	—	2	1	no	—
611	C₂³×C₁₃	—	2	1	no	—
612	C₂³×C₁₃	—	2	1	no	—
613	C₂³×C₁₃	—	2	1	no	—
614	C₂³×C₁₃	—	2	1	no	—
615	C₂³×C₁₃	—	2	1	no	—
616	C₂³×C₁₃	—	2	1	no	—
617	C₂³×C₁₃	—	2	1	no	—
618	C₂³×C₁₃	—	2	1	no	—
619	C₂³×C₁₃	—	2	1	no	—
620	C₂³×C₁₃	—	2	1	no	—
621	C₂³×C₁₃	—	2	1	no	—
622	C₂³×C₁₃	—	2	1	no	—
623	C₂³×C₁₃	—	2	1	no	—
624	C₂³×C₁₃	—	2	1	no	—
625	C₂³×C₁₃	—	2	1	no	—
626	C₂³×C₁₃	—	2	1	no	—
627	C₂³×C₁₃	—	2	1	no	—
628	C₂³×C₁₃	—	2	1	no	—
629	C₂³×C₁₃	—	2	1	no	—
630	C₂³×C₁₃	—	2	1	no	—
631	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
632	C₂³×C₁₃	C₂²×D₄	1	2	yes	—
633	C₂³×C₁₃	C₂×#41	1	2	yes	—
634	C₂³×C₁₃	C₂×#41	1	2	yes	—
635	C₂³×C₁₃	C₂×#41	1	2	yes	—
636	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
637	Q₈×C₁₃	—	2	8	no	—
638	Q₈×C₁₃	—	4	4	no	—
639	D₄×C₁₃	—	2	8	no	—
640	D₄×C₁₃	—	2	8	no	—
641	D₄×C₁₃	—	2	8	no	—
642	D₄×C₁₃	—	4	4	no	—
643	D₄×C₁₃	—	4	4	no	—
644	D₄×C₁₃	—	4	4	no	—
645	C₂×C₄×C₁₃	—	2	8	no	—
646	C₂×C₄×C₁₃	—	2	8	no	—
647	C₂×C₄×C₁₃	—	2	8	no	—
648	C₂×C₄×C₁₃	—	2	8	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
652	C₂×C₄×C₁₃	—	2	1	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	1	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	2	1	no	—
669	C₂×C₄×C₁₃	—	2	1	no	—
670	C₂×C₄×C₁₃	—	2	1	no	—
671	C₂×C₄×C₁₃	—	2	1	no	—
672	C₂×C₄×C₁₃	—	2	1	no	—
673	C₂×C₄×C₁₃	—	2	8	no	—
674	C₂×C₄×C₁₃	—	2	8	no	—
675	C₂×C₄×C₁₃	—	2	1	no	—
676	C₂×C₄×C₁₃	—	2	1	no	—
677	C₂×C₄×C₁₃	—	2	1	no	—
678	C₂×C₄×C₁₃	—	2	1	no	—
679	C₂×C₄×C₁₃	—	2	1	no	—
680	C₂×C₄×C₁₃	—	2	1	no	—
681	C₂×C₄×C₁₃	—	2	1	no	—
682	C₂×C₄×C₁₃	—	2	1	no	—
683	C₂×C₄×C₁₃	—	2	1	no	—
684	C₂×C₄×C₁₃	—	2	1	no	—
685	C₂×C₄×C₁₃	—	2	1	no	—
686	C₂×C₄×C₁₃	—	2	1	no	—
687	C₂×C₄×C₁₃	—	2	1	no	—
688	C₂×C₄×C₁₃	—	2	1	no	—
689	C₂×C₄×C₁₃	—	2	1	no	—
690	C₂×C₄×C₁₃	—	2	1	no	—
691	C₂×C₄×C₁₃	—	2	1	no	—
692	C₂×C₄×C₁₃	—	2	1	no	—
693	C₂×C₄×C₁₃	—	2	1	no	—
694	C₂×C₄×C₁₃	—	2	1	no	—
695	C₂×C₄×C₁₃	—	2	1	no	—
696	C₂×C₄×C₁₃	—	2	1	no	—
697	C₂×C₄×C₁₃	—	2	1	no	—
698	C₂×C₄×C₁₃	—	2	1	no	—
699	C₂×C₄×C₁₃	—	2	1	no	—
700	C₂×C₄×C₁₃	—	2	1	no	—
701	C₂×C₄×C₁₃	—	2	1	no	—
702	C₂×C₄×C₁₃	—	2	1	no	—
703	C₂×C₄×C₁₃	—	2	1	no	—
704	C₂×C₄×C₁₃	—	2	1	no	—
705	C₂×C₄×C₁₃	—	2	1	no	—
706	C₂×C₄×C₁₃	—	2	1	no	—
707	C₂×C₄×C₁₃	—	2	1	no	—
708	C₂×C₄×C₁₃	—	2	1	no	—
709	C₂×C₄×C₁₃	—	2	1	no	—
710	C₂×C₄×C₁₃	—	2	1	no	—
711	C₂×C₄×C₁₃	—	2	1	no	—
712	C₂×C₄×C₁₃	—	2	1	no	—
713	C₂×C₄×C₁₃	—	2	1	no	—
714	C₂×C₄×C₁₃	—	2	1	no	—
715	C₂×C₄×C₁₃	—	2	1	no	—
716	C₂×C₄×C₁₃	—	2	1	no	—
717	C₂×C₄×C₁₃	—	4	4	no	—
718	C₂×C₄×C₁₃	—	4	4	no	—
719	C₂×C₄×C₁₃	—	4	4	no	—
720	C₂×C₄×C₁₃	—	4	4	no	—
721	C₂×C₄×C₁₃	—	4	4	no	—
722	C₂×C₄×C₁₃	—	4	4	no	—
723	C₂×C₄×C₁₃	—	4	4	no	—
724	C₂×C₄×C₁₃	—	4	4	no	—
725	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
726	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
727	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
728	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
729	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
730	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
731	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
732	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
733	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
734	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
735	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
736	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
737	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
738	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
739	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
740	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
741	#529	—	2	8	no	—
742	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
743	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
744	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic
745	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
746	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
747	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
748	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
749	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
750	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
751	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
752	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
753	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
754	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
755	C₄×#41	—	2	8	no	—
756	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
757	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
758	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic
759	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
760	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
761	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
762	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
763	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
764	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
765	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
766	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
767	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
768	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
769	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
770	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
771	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
772	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
773	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
774	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
775	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
776	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
777	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
778	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
779	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
780	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
781	#400	C₂²×C₁₃	1	1	yes	characteristic
782	#400	C₂²×C₁₃	1	1	yes	characteristic
783	#399	C₂²×C₁₃	1	1	yes	characteristic
784	#399	C₂²×C₁₃	1	1	yes	characteristic
785	#398	C₂²×C₁₃	1	1	yes	characteristic
786	#398	C₂²×C₁₃	1	1	yes	characteristic
787	#398	C₂²×C₁₃	1	1	yes	characteristic
788	#398	C₂²×C₁₃	1	1	yes	characteristic
789	#398	C₂²×C₁₃	1	1	yes	characteristic
790	#398	C₂²×C₁₃	1	1	yes	characteristic
791	#398	C₂²×C₁₃	1	1	yes	characteristic
792	#398	C₂²×C₁₃	1	1	yes	characteristic
793	#397	C₂²×C₁₃	1	1	yes	characteristic
794	#397	C₂²×C₁₃	1	1	yes	characteristic
795	#397	C₂²×C₁₃	1	1	yes	characteristic
796	#397	C₂²×C₁₃	1	1	yes	characteristic
797	#396	C₂²×C₁₃	1	1	yes	characteristic
798	#396	C₂²×C₁₃	1	1	yes	characteristic
799	#396	C₂²×C₁₃	1	1	yes	characteristic
800	#396	C₂²×C₁₃	1	1	yes	characteristic
801	#395	C₂²×C₁₃	1	1	yes	characteristic
802	#395	C₂²×C₁₃	1	1	yes	characteristic
803	#395	C₂²×C₁₃	1	1	yes	characteristic
804	#395	C₂²×C₁₃	1	1	yes	characteristic
805	#395	C₂²×C₁₃	1	1	yes	characteristic
806	#394	C₂²×C₁₃	1	1	yes	characteristic
807	#394	C₂²×C₁₃	1	1	yes	characteristic
808	#394	C₂²×C₁₃	1	1	yes	characteristic
809	#394	C₂²×C₁₃	1	1	yes	characteristic
810	#394	C₂²×C₁₃	1	1	yes	characteristic
811	#393	C₂²×C₁₃	1	1	yes	characteristic
812	#392	C₂²×C₁₃	1	1	yes	characteristic
813	#391	C₂²×C₁₃	1	1	yes	characteristic
814	#390	C₂²×C₁₃	1	1	yes	characteristic
815	#389	C₂²×C₁₃	1	1	yes	characteristic
816	#389	C₂²×C₁₃	1	1	yes	characteristic
817	#389	C₂²×C₁₃	1	1	yes	characteristic
818	#389	C₂²×C₁₃	1	1	yes	characteristic
819	#389	C₂²×C₁₃	1	1	yes	characteristic
820	#389	C₂²×C₁₃	1	1	yes	characteristic
821	#388	C₂²×C₁₃	1	1	yes	characteristic
822	#388	C₂²×C₁₃	1	1	yes	characteristic
823	#388	C₂²×C₁₃	1	1	yes	characteristic
824	#388	C₂²×C₁₃	1	1	yes	characteristic
825	#388	C₂²×C₁₃	1	1	yes	characteristic
826	#388	C₂²×C₁₃	1	1	yes	characteristic
827	#388	C₂²×C₁₃	1	1	yes	characteristic
828	#388	C₂²×C₁₃	1	1	yes	characteristic
829	#388	C₂²×C₁₃	1	1	yes	characteristic
830	#388	C₂²×C₁₃	1	1	yes	characteristic
831	#388	C₂²×C₁₃	1	1	yes	characteristic
832	#388	C₂²×C₁₃	1	1	yes	characteristic
833	#387	C₂²×C₁₃	1	1	yes	characteristic
834	#387	C₂²×C₁₃	1	1	yes	characteristic
835	#387	C₂²×C₁₃	1	1	yes	characteristic
836	#387	C₂²×C₁₃	1	1	yes	characteristic
837	#387	C₂²×C₁₃	1	1	yes	characteristic
838	#387	C₂²×C₁₃	1	1	yes	characteristic
839	#387	C₂²×C₁₃	1	1	yes	characteristic
840	#387	C₂²×C₁₃	1	1	yes	characteristic
841	#387	C₂²×C₁₃	1	1	yes	characteristic
842	#387	C₂²×C₁₃	1	1	yes	characteristic
843	#387	C₂²×C₁₃	1	1	yes	characteristic
844	#387	C₂²×C₁₃	1	1	yes	characteristic
845	#386	C₂²×C₁₃	1	1	yes	characteristic
846	#386	C₂²×C₁₃	1	1	yes	characteristic
847	#386	C₂²×C₁₃	1	1	yes	characteristic
848	#386	C₂²×C₁₃	1	1	yes	characteristic
849	#386	C₂²×C₁₃	1	1	yes	characteristic
850	#386	C₂²×C₁₃	1	1	yes	characteristic
851	#386	C₂²×C₁₃	1	1	yes	characteristic
852	#386	C₂²×C₁₃	1	1	yes	characteristic
853	#386	C₂²×C₁₃	1	1	yes	characteristic
854	#385	C₂²×C₁₃	1	1	yes	characteristic
855	#385	C₂²×C₁₃	1	1	yes	characteristic
856	#385	C₂²×C₁₃	1	1	yes	characteristic
857	#385	C₂²×C₁₃	1	1	yes	characteristic
858	#385	C₂²×C₁₃	1	1	yes	characteristic
859	#385	C₂²×C₁₃	1	1	yes	characteristic
860	#385	C₂²×C₁₃	1	1	yes	characteristic
861	#385	C₂²×C₁₃	1	1	yes	characteristic
862	#385	C₂²×C₁₃	1	1	yes	characteristic
863	#385	C₂²×C₁₃	1	1	yes	characteristic
864	#385	C₂²×C₁₃	1	1	yes	characteristic
865	#385	C₂²×C₁₃	1	1	yes	characteristic
866	#385	C₂²×C₁₃	1	1	yes	characteristic
867	#381	C₂²×C₁₃	1	1	yes	characteristic
868	#381	C₂²×C₁₃	1	1	yes	characteristic
869	#381	C₂²×C₁₃	1	1	yes	characteristic
870	#380	C₂²×C₁₃	1	1	yes	characteristic
871	#380	C₂²×C₁₃	1	1	yes	characteristic
872	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
873	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
874	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
875	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
876	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
877	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
878	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
879	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
880	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
881	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
882	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
883	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
884	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
885	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
886	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
887	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
888	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
889	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
890	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
891	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
892	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
893	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
894	#376	C₂²×C₁₃	1	1	yes	characteristic
895	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
896	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
897	C₂²×C₁₃	—	2	2	no	—
898	C₂²×C₁₃	—	2	2	no	—
899	C₂²×C₁₃	—	2	2	no	—
900	C₂²×C₁₃	—	2	2	no	—
901	C₂²×C₁₃	—	2	2	no	—
902	C₂²×C₁₃	—	2	2	no	—
903	C₂²×C₁₃	—	2	2	no	—
904	C₂²×C₁₃	—	2	2	no	—
905	C₂²×C₁₃	—	2	2	no	—
906	C₂²×C₁₃	—	2	2	no	—
907	C₂²×C₁₃	—	2	2	no	—
908	C₂²×C₁₃	—	2	2	no	—
909	C₂²×C₁₃	—	4	1	no	—
910	C₂²×C₁₃	—	4	1	no	—
911	C₂²×C₁₃	—	4	1	no	—
912	C₂²×C₁₃	—	4	1	no	—
913	C₂²×C₁₃	—	4	1	no	—
914	C₂²×C₁₃	—	4	1	no	—
915	C₂²×C₁₃	—	4	1	no	—
916	C₂²×C₁₃	—	4	1	no	—
917	C₂²×C₁₃	—	4	1	no	—
918	C₂²×C₁₃	—	4	1	no	—
919	C₂²×C₁₃	—	4	1	no	—
920	C₂²×C₁₃	—	4	1	no	—
921	C₂²×C₁₃	—	4	1	no	—
922	C₂²×C₁₃	—	4	1	no	—
923	C₂²×C₁₃	—	4	1	no	—
924	C₂²×C₁₃	#525	1	4	yes	—
925	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
926	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
927	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
928	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
929	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
930	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
931	C₂²×C₁₃	#585	1	1	yes	characteristic
932	C₄×C₁₃	—	2	2	no	—
933	C₄×C₁₃	—	2	2	no	—
934	C₄×C₁₃	—	2	2	no	—
935	C₄×C₁₃	—	2	2	no	—
936	C₄×C₁₃	—	2	2	no	—
937	C₄×C₁₃	—	2	2	no	—
938	C₄×C₁₃	—	2	2	no	—
939	C₄×C₁₃	—	2	2	no	—
940	C₄×C₁₃	—	2	2	no	—
941	C₄×C₁₃	—	2	2	no	—
942	C₄×C₁₃	—	2	2	no	—
943	C₄×C₁₃	—	2	2	no	—
944	C₄×C₁₃	—	4	1	no	—
945	C₄×C₁₃	—	4	1	no	—
946	C₄×C₁₃	—	4	1	no	—
947	C₄×C₁₃	—	4	1	no	—
948	C₄×C₁₃	—	4	1	no	—
949	C₄×C₁₃	—	4	1	no	—
950	C₄×C₁₃	—	4	1	no	—
951	C₄×C₁₃	—	4	1	no	—
952	C₄×C₁₃	—	4	1	no	—
953	C₄×C₁₃	—	4	1	no	—
954	C₄×C₁₃	—	4	1	no	—
955	C₄×C₁₃	—	4	1	no	—
956	C₄×C₁₃	—	4	1	no	—
957	C₄×C₁₃	—	4	1	no	—
958	C₄×C₁₃	#547	1	4	yes	—
959	C₂×#41	—	2	4	no	—
960	C₂×#41	—	2	4	no	—
961	C₂×#41	—	2	4	no	—
962	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
963	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
964	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
965	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
966	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
967	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
968	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
969	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
970	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
971	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
972	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
973	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
974	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
975	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
976	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
977	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
978	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
979	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
980	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
981	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
982	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
983	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
984	#126	—	2	4	no	—
985	#126	—	2	4	no	—
986	#125	—	2	4	no	—
987	#124	—	2	4	no	—
988	#123	—	2	4	no	—
989	#123	—	2	4	no	—
990	#123	—	2	4	no	—
991	#123	—	2	4	no	—
992	#123	—	2	4	no	—
993	C₂²⋊Q₈	—	2	4	no	—
994	C₂²⋊Q₈	—	2	4	no	—
995	#121	—	2	4	no	—
996	#121	—	2	4	no	—
997	C₄×Q₈	—	2	4	no	—
998	C₄×Q₈	—	2	4	no	—
999	C₄×Q₈	—	2	4	no	—
1000	C₄×D₄	—	2	4	no	—
1001	C₄×D₄	—	2	4	no	—
1002	C₄×D₄	—	2	4	no	—
1003	C₄×D₄	—	2	4	no	—
1004	C₄×D₄	—	2	4	no	—
1005	C₄×D₄	—	2	4	no	—
1006	C₄×D₄	—	2	4	no	—
1007	C₄×D₄	—	2	4	no	—
1008	C₄×D₄	D₄×C₁₃	1	8	yes	complemented
1009	#117	—	2	4	no	—
1010	#117	—	2	4	no	—
1011	#117	—	2	4	no	—
1012	#117	—	2	4	no	—
1013	#117	—	2	4	no	—
1014	#117	—	2	4	no	—
1015	C₂×C₄⋊C₄	—	2	4	no	—
1016	C₂×C₄⋊C₄	—	2	4	no	—
1017	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1085	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1088	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1089	C₂×C₄²	—	2	4	no	—
1090	C₂×C₄²	—	2	4	no	—
1091	C₂×C₄²	—	2	4	no	—
1092	C₂×C₄²	—	2	4	no	—
1093	C₂×C₄²	—	2	4	no	—
1094	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1095	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1096	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1097	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1098	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1099	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1100	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1101	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1102	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1103	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1104	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1105	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1106	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1107	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1108	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1109	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1110	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1111	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1112	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1113	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1114	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1115	#95	C₂³×C₁₃	1	1	yes	characteristic
1116	#95	C₂³×C₁₃	1	1	yes	characteristic
1117	#95	C₂³×C₁₃	1	1	yes	characteristic
1118	#95	C₂³×C₁₃	1	1	yes	characteristic
1119	#95	C₂³×C₁₃	1	1	yes	characteristic
1120	#95	C₂³×C₁₃	1	1	yes	characteristic
1121	#95	C₂³×C₁₃	1	1	yes	characteristic
1122	#95	C₂³×C₁₃	1	1	yes	characteristic
1123	#95	C₂³×C₁₃	1	1	yes	characteristic
1124	#95	C₂³×C₁₃	1	1	yes	characteristic
1125	#95	C₂³×C₁₃	1	1	yes	characteristic
1126	#95	C₂³×C₁₃	1	1	yes	characteristic
1127	#95	C₂³×C₁₃	1	1	yes	characteristic
1128	#95	C₂³×C₁₃	1	1	yes	characteristic
1129	#95	C₂³×C₁₃	1	1	yes	characteristic
1130	#95	C₂³×C₁₃	1	1	yes	characteristic
1131	#95	C₂³×C₁₃	1	1	yes	characteristic
1132	#95	C₂³×C₁₃	1	1	yes	characteristic
1133	#95	C₂³×C₁₃	1	1	yes	characteristic
1134	#95	C₂³×C₁₃	1	1	yes	characteristic
1135	#95	C₂³×C₁₃	1	1	yes	characteristic
1136	#95	C₂³×C₁₃	1	1	yes	characteristic
1137	#95	C₂³×C₁₃	1	1	yes	characteristic
1138	#95	C₂³×C₁₃	1	1	yes	characteristic
1139	#95	C₂³×C₁₃	1	1	yes	characteristic
1140	#95	C₂³×C₁₃	1	1	yes	characteristic
1141	#95	C₂³×C₁₃	1	1	yes	characteristic
1142	#95	C₂³×C₁₃	1	1	yes	characteristic
1143	#95	C₂³×C₁₃	1	1	yes	characteristic
1144	#95	C₂³×C₁₃	1	1	yes	characteristic
1145	#95	C₂³×C₁₃	1	1	yes	characteristic
1146	#95	C₂³×C₁₃	1	1	yes	characteristic
1147	#95	C₂³×C₁₃	1	1	yes	characteristic
1148	#95	C₂³×C₁₃	1	1	yes	characteristic
1149	#95	C₂³×C₁₃	1	1	yes	characteristic
1150	#95	C₂³×C₁₃	1	1	yes	characteristic
1151	#95	C₂³×C₁₃	1	1	yes	characteristic
1152	#95	C₂³×C₁₃	1	1	yes	characteristic
1153	#95	C₂³×C₁₃	1	1	yes	characteristic
1154	#95	C₂³×C₁₃	1	1	yes	characteristic
1155	C₂×C₁₃	—	2	4	no	—
1156	C₂×C₁₃	—	4	2	no	—
1157	C₂×C₁₃	—	4	2	no	—
1158	C₂×C₁₃	—	8	1	no	—
1159	C₂×C₁₃	C₂×#525	1	1	yes	characteristic
1160	C₂×C₁₃	#3444	1	1	yes	characteristic
1161	C₂×C₁₃	#3461	1	1	yes	characteristic
1162	C₂×C₁₃	C₂×#547	1	1	yes	characteristic
1163	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
1164	C₂×C₁₃	#3475	1	1	yes	characteristic
1165	C₂×C₁₃	#3482	1	1	yes	characteristic
1166	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1167	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1168	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1169	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1170	#41	—	2	32	no	—
1171	C₂×Q₈	—	2	2	no	—
1172	C₂×Q₈	—	2	2	no	—
1173	C₂×Q₈	—	2	2	no	—
1174	C₂×Q₈	—	2	2	no	—
1175	C₂×Q₈	—	2	2	no	—
1176	C₂×Q₈	—	4	1	no	—
1177	C₂×D₄	—	2	2	no	—
1178	C₂×D₄	—	2	2	no	—
1179	C₂×D₄	—	2	2	no	—
1180	C₂×D₄	—	2	2	no	—
1181	C₂×D₄	—	2	2	no	—
1182	C₂×D₄	—	2	2	no	—
1183	C₂×D₄	—	2	2	no	—
1184	C₂×D₄	—	2	2	no	—
1185	C₂×D₄	—	2	2	no	—
1186	C₂×D₄	—	2	2	no	—
1187	C₂×D₄	—	2	2	no	—
1188	C₂×D₄	—	2	2	no	—
1189	C₂×D₄	—	2	2	no	—
1190	C₂×D₄	—	2	2	no	—
1191	C₂×D₄	—	4	1	no	—
1192	C₂×D₄	—	4	1	no	—
1193	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
1194	C₂×D₄	C₁₃×#41	1	4	yes	—
1195	C₂²×C₄	—	2	2	no	—
1196	C₂²×C₄	—	2	2	no	—
1197	C₂²×C₄	—	2	2	no	—
1198	C₂²×C₄	—	2	2	no	—
1199	C₂²×C₄	—	2	2	no	—
1200	C₂²×C₄	—	2	2	no	—
1201	C₂²×C₄	—	2	2	no	—
1202	C₂²×C₄	—	2	2	no	—
1203	C₂²×C₄	—	2	2	no	—
1204	C₂²×C₄	—	2	2	no	—
1205	C₂²×C₄	—	2	2	no	—
1206	C₂²×C₄	—	2	2	no	—
1207	C₂²×C₄	—	2	2	no	—
1208	C₂²×C₄	—	2	2	no	—
1209	C₂²×C₄	—	2	2	no	—
1210	C₂²×C₄	—	2	2	no	—
1211	C₂²×C₄	—	2	2	no	—
1212	C₂²×C₄	—	2	2	no	—
1213	C₂²×C₄	—	2	2	no	—
1214	C₂²×C₄	—	2	2	no	—
1215	C₂²×C₄	—	2	2	no	—
1216	C₂²×C₄	—	2	2	no	—
1217	C₂²×C₄	—	2	2	no	—
1218	C₂²×C₄	—	2	2	no	—
1219	C₂²×C₄	—	2	2	no	—
1220	C₂²×C₄	—	2	2	no	—
1221	C₂²×C₄	—	2	2	no	—
1222	C₂²×C₄	—	2	2	no	—
1223	C₂²×C₄	—	2	2	no	—
1224	C₂²×C₄	—	2	2	no	—
1225	C₂²×C₄	—	2	2	no	—
1226	C₂²×C₄	—	2	2	no	—
1227	C₂²×C₄	—	2	2	no	—
1228	C₂²×C₄	—	2	2	no	—
1229	C₂²×C₄	—	4	1	no	—
1230	C₂²×C₄	—	4	1	no	—
1231	C₂²×C₄	—	4	1	no	—
1232	C₂²×C₄	—	4	1	no	—
1233	C₂²×C₄	—	4	1	no	—
1234	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
1235	C₂²×C₄	C₂×D₄×C₁₃	1	4	yes	—
1236	C₂²×C₄	C₁₃×#41	1	4	yes	—
1237	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1238	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1239	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1240	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1241	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1244	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1245	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1246	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1247	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1248	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1249	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1250	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1251	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1252	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1253	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1254	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1257	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1258	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1259	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1260	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1261	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1262	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1263	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1264	C₄⋊C₄	—	2	2	no	—
1265	C₄⋊C₄	—	2	2	no	—
1266	C₄⋊C₄	—	2	2	no	—
1267	C₄⋊C₄	—	2	2	no	—
1268	C₄⋊C₄	—	2	2	no	—
1269	C₄⋊C₄	—	2	2	no	—
1270	C₄⋊C₄	—	2	2	no	—
1271	C₄⋊C₄	—	2	2	no	—
1272	C₄⋊C₄	—	2	2	no	—
1273	C₄⋊C₄	—	2	2	no	—
1274	C₄⋊C₄	—	2	2	no	—
1275	C₄⋊C₄	—	2	2	no	—
1276	C₄⋊C₄	—	2	2	no	—
1277	C₄⋊C₄	—	2	2	no	—
1278	C₄⋊C₄	—	2	2	no	—
1279	C₄⋊C₄	—	2	2	no	—
1280	C₄⋊C₄	—	2	2	no	—
1281	C₄⋊C₄	—	2	2	no	—
1282	C₄⋊C₄	—	2	2	no	—
1283	C₄⋊C₄	—	2	2	no	—
1284	C₄⋊C₄	—	2	2	no	—
1285	C₄⋊C₄	—	2	2	no	—
1286	C₄⋊C₄	—	2	2	no	—
1287	C₄⋊C₄	—	2	2	no	—
1288	C₄⋊C₄	—	2	2	no	—
1289	C₄⋊C₄	—	2	2	no	—
1290	C₄⋊C₄	—	2	2	no	—
1291	C₄⋊C₄	—	2	2	no	—
1292	C₄⋊C₄	—	2	2	no	—
1293	C₄⋊C₄	—	2	2	no	—
1294	C₄⋊C₄	—	2	2	no	—
1295	C₄⋊C₄	—	2	2	no	—
1296	C₄⋊C₄	—	4	1	no	—
1297	C₄⋊C₄	—	4	1	no	—
1298	C₄⋊C₄	—	4	1	no	—
1299	C₄⋊C₄	—	4	1	no	—
1300	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
1301	C₄⋊C₄	C₁₃×#41	1	4	yes	complemented
1302	C₂²⋊C₄	—	2	2	no	—
1303	C₂²⋊C₄	—	2	2	no	—
1304	C₂²⋊C₄	—	2	2	no	—
1305	C₂²⋊C₄	—	2	2	no	—
1306	C₂²⋊C₄	—	2	2	no	—
1307	C₂²⋊C₄	—	2	2	no	—
1308	C₂²⋊C₄	—	2	2	no	—
1309	C₂²⋊C₄	—	2	2	no	—
1310	C₂²⋊C₄	—	2	2	no	—
1311	C₂²⋊C₄	—	2	2	no	—
1312	C₂²⋊C₄	—	2	2	no	—
1313	C₂²⋊C₄	—	2	2	no	—
1314	C₂²⋊C₄	—	2	2	no	—
1315	C₂²⋊C₄	—	2	2	no	—
1316	C₂²⋊C₄	—	2	2	no	—
1317	C₂²⋊C₄	—	2	2	no	—
1318	C₂²⋊C₄	—	2	2	no	—
1319	C₂²⋊C₄	—	2	2	no	—
1320	C₂²⋊C₄	—	2	2	no	—
1321	C₂²⋊C₄	—	2	2	no	—
1322	C₂²⋊C₄	—	2	2	no	—
1323	C₂²⋊C₄	—	2	2	no	—
1324	C₂²⋊C₄	—	2	2	no	—
1325	C₂²⋊C₄	—	2	2	no	—
1326	C₂²⋊C₄	—	2	2	no	—
1327	C₂²⋊C₄	—	2	2	no	—
1328	C₂²⋊C₄	—	2	2	no	—
1329	C₂²⋊C₄	—	2	2	no	—
1330	C₂²⋊C₄	—	2	2	no	—
1331	C₂²⋊C₄	—	4	1	no	—
1332	C₂²⋊C₄	—	4	1	no	—
1333	C₂²⋊C₄	—	4	1	no	—
1334	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
1335	C₂²⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
1336	C₄²	—	2	2	no	—
1337	C₄²	—	2	2	no	—
1338	C₄²	—	2	2	no	—
1339	C₄²	—	2	2	no	—
1340	C₄²	—	2	2	no	—
1341	C₄²	—	2	2	no	—
1342	C₄²	—	2	2	no	—
1343	C₄²	—	2	2	no	—
1344	C₄²	—	2	2	no	—
1345	C₄²	—	2	2	no	—
1346	C₄²	—	2	2	no	—
1347	C₄²	—	2	2	no	—
1348	C₄²	—	2	2	no	—
1349	C₄²	—	2	2	no	—
1350	C₄²	—	2	2	no	—
1351	C₄²	—	2	2	no	—
1352	C₄²	—	2	2	no	—
1353	C₄²	—	2	2	no	—
1354	C₄²	—	2	2	no	—
1355	C₄²	C₂×D₄×C₁₃	1	4	yes	—
1356	C₄²	C₁₃×#41	1	4	yes	complemented
1357	C₁₃	#34735	1	1	yes	characteristic, direct product factor, Sylow
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	2	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1382	C₂³	C₂²×D₄×C₁₃	1	2	yes	—
1383	C₂³	C₂×C₁₃×#41	1	2	yes	—
1384	C₂³	C₂×C₁₃×#41	1	2	yes	—
1385	C₂³	C₂×C₁₃×#41	1	2	yes	—
1386	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1387	Q₈	—	2	8	no	—
1388	Q₈	—	4	4	no	—
1389	D₄	—	2	8	no	—
1390	D₄	—	2	8	no	—
1391	D₄	—	2	8	no	—
1392	D₄	—	4	4	no	—
1393	D₄	—	4	4	no	—
1394	D₄	—	4	4	no	—
1395	C₂×C₄	—	2	8	no	—
1396	C₂×C₄	—	2	8	no	—
1397	C₂×C₄	—	2	8	no	—
1398	C₂×C₄	—	2	8	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	8	no	—
1424	C₂×C₄	—	2	8	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	4	4	no	—
1468	C₂×C₄	—	4	4	no	—
1469	C₂×C₄	—	4	4	no	—
1470	C₂×C₄	—	4	4	no	—
1471	C₂×C₄	—	4	4	no	—
1472	C₂×C₄	—	4	4	no	—
1473	C₂×C₄	—	4	4	no	—
1474	C₂×C₄	—	4	4	no	—
1475	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1476	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1477	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1478	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1479	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1480	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1481	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1482	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1483	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1484	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1485	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1486	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1487	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1488	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1489	C₂×C₄	C₁₃×2₋¹⁺⁴	1	2	yes	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	2	2	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	4	1	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	C₁₃×#525	1	4	yes	—
1518	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1519	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1520	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1521	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1522	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1523	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1524	C₂²	C₁₃×#585	1	1	yes	characteristic
1525	C₄	—	2	2	no	—
1526	C₄	—	2	2	no	—
1527	C₄	—	2	2	no	—
1528	C₄	—	2	2	no	—
1529	C₄	—	2	2	no	—
1530	C₄	—	2	2	no	—
1531	C₄	—	2	2	no	—
1532	C₄	—	2	2	no	—
1533	C₄	—	2	2	no	—
1534	C₄	—	2	2	no	—
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	4	1	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₄	—	4	1	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	4	1	no	—
1548	C₄	—	4	1	no	—
1549	C₄	—	4	1	no	—
1550	C₄	—	4	1	no	—
1551	C₄	C₁₃×#547	1	4	yes	—
1552	C₂	—	2	4	no	—
1553	C₂	—	4	2	no	—
1554	C₂	—	4	2	no	—
1555	C₂	—	8	1	no	—
1556	C₂	C₂×C₁₃×#525	1	1	yes	characteristic
1557	C₂	C₁₃×#3444	1	1	yes	characteristic
1558	C₂	C₁₃×#3461	1	1	yes	characteristic
1559	C₂	C₂×C₁₃×#547	1	1	yes	characteristic
1560	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1561	C₂	C₁₃×#3475	1	1	yes	characteristic
1562	C₂	C₁₃×#3482	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₁₃	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
socle	C₂³×C₁₃	C₂⁵
prime radical	C₁₃×#2430	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₁₃×#529	C₂	semidirect
2. C₂×C₄×C₁₃×#41	C₂	semidirect
3. C₁₃×#2479	C₂	semidirect
4. C₁₃×#2478	C₂	semidirect
5. C₁₃×#2475	C₂	semidirect
6. C₁₃×#2474	C₂	semidirect
7. C₁₃×#2469	C₂	semidirect
8. C₁₃×#2468	C₂	semidirect
9. C₁₃×#2462	C₂	semidirect
10. C₁₃×#2461	C₂	semidirect
11. C₁₃×#2449	C₂	semidirect
12. C₁₃×#2443	C₂	semidirect
13. C₁₃×#2438	C₂	semidirect
15. C₁₃×#2425	C₂	semidirect
16. C₁₃×#2419	C₂	semidirect
17. C₁₃×#2413	C₂	semidirect
18. C₁₃×#2406	C₂	semidirect
19. C₁₃×#2399	C₂	semidirect
20. C₁₃×#2396	C₂	semidirect
21. C₁₃×#2395	C₂	semidirect
22. C₁₃×#2392	C₂	semidirect
23. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
24. C₄×C₁₃×#123	C₂	semidirect
25. C₄×C₁₃×#123	C₂	semidirect
26. C₄×C₁₃×#123	C₂	semidirect
27. C₄×C₁₃×#121	C₂	semidirect
28. C₁₃×#2296	C₂	semidirect
29. C₁₃×#2290	C₂	semidirect
30. C₁₃×#2290	C₂	semidirect
31. C₂×C₄×C₁₃×C₄⋊C₄	C₂	semidirect
238. C₄×D₄×C₁₃	D₄	semidirect
385. #34735	C₁₃	direct (N × H)
521. C₁₃×C₄⋊C₄	#41	semidirect
576. C₄²×C₁₃	#41	semidirect
577. C₂×#529	C₂×C₁₃	semidirect
578. C₂×C₄×#41	C₂×C₁₃	semidirect
579. #2479	C₂×C₁₃	semidirect
580. #2478	C₂×C₁₃	semidirect
581. #2475	C₂×C₁₃	semidirect
582. #2474	C₂×C₁₃	semidirect
583. #2469	C₂×C₁₃	semidirect
584. #2468	C₂×C₁₃	semidirect
585. #2462	C₂×C₁₃	semidirect
586. #2461	C₂×C₁₃	semidirect
587. #2449	C₂×C₁₃	semidirect
588. #2443	C₂×C₁₃	semidirect
589. #2438	C₂×C₁₃	semidirect
591. #2425	C₂×C₁₃	semidirect
592. #2419	C₂×C₁₃	semidirect
593. #2413	C₂×C₁₃	semidirect
594. #2406	C₂×C₁₃	semidirect
595. #2399	C₂×C₁₃	semidirect
596. #2396	C₂×C₁₃	semidirect
597. #2395	C₂×C₁₃	semidirect
598. #2392	C₂×C₁₃	semidirect
599. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
600. C₄×#123	C₂×C₁₃	semidirect
601. C₄×#123	C₂×C₁₃	semidirect
602. C₄×#123	C₂×C₁₃	semidirect
603. C₄×#121	C₂×C₁₃	semidirect
604. #2296	C₂×C₁₃	semidirect
605. #2290	C₂×C₁₃	semidirect
606. #2290	C₂×C₁₃	semidirect
607. C₂×C₄×C₄⋊C₄	C₂×C₁₃	semidirect
1008. C₄×D₄	D₄×C₁₃	semidirect
1301. C₄⋊C₄	C₁₃×#41	semidirect
1356. C₄²	C₁₃×#41	semidirect
1357. C₁₃	#34735	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#529	2
C₂×C₄×C₁₃×#41	2
C₁₃×#2479	2
C₁₃×#2478	2
C₁₃×#2475	2
C₁₃×#2474	2
C₁₃×#2469	2
C₁₃×#2468	2
C₁₃×#2462	2
C₁₃×#2461	2
C₁₃×#2449	2
C₁₃×#2443	2
C₁₃×#2438	2
C₁₃×#2430	2
C₁₃×#2425	2
C₁₃×#2419	2
C₁₃×#2413	2
C₁₃×#2406	2
C₁₃×#2399	2
C₁₃×#2396	2
C₁₃×#2395	2
C₁₃×#2392	2
C₄×C₁₃×C₂²⋊Q₈	2
C₄×C₁₃×#123	2
C₄×C₁₃×#121	2
C₁₃×#2296	2
C₁₃×#2290	2
C₂×C₄×C₁₃×C₄⋊C₄	2
#34735	13

Subgroups — C13×#34735 #15721074

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34735 #15721074