Subgroups — C₁₃×#36839 #15723178

Order 3328.

1980 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2849	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2849	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2782	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2780	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2771	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2757	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2750	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2749	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2743	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2735	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2724	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2708	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2706	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2703	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2688	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2678	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2668	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2652	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2648	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2516	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2515	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2471	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#2470	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#2456	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#2455	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#2444	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2419	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#2325	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
51	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
52	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
53	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
54	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
55	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
56	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#399	C₂²	1	1	yes	characteristic
61	C₁₃×#399	C₂²	1	1	yes	characteristic
62	C₁₃×#399	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#397	C₂²	1	1	yes	characteristic
67	C₁₃×#397	C₂²	1	1	yes	characteristic
68	C₁₃×#397	C₂²	1	1	yes	characteristic
69	C₁₃×#397	C₂²	1	1	yes	characteristic
70	C₁₃×#397	C₂²	1	1	yes	characteristic
71	C₁₃×#397	C₂²	1	1	yes	characteristic
72	C₁₃×#397	C₂²	1	1	yes	characteristic
73	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
74	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
75	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#396	C₂²	1	1	yes	characteristic
80	C₁₃×#396	C₂²	1	1	yes	characteristic
81	C₁₃×#396	C₂²	1	1	yes	characteristic
82	C₁₃×#396	C₂²	1	1	yes	characteristic
83	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#394	C₂²	1	1	yes	characteristic
86	C₁₃×#394	C₂²	1	1	yes	characteristic
87	C₁₃×#394	C₂²	1	1	yes	characteristic
88	C₁₃×#394	C₂²	1	1	yes	characteristic
89	C₁₃×#394	C₂²	1	1	yes	characteristic
90	C₁₃×#394	C₂²	1	1	yes	characteristic
91	C₁₃×#394	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#394	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#392	C₂²	1	1	yes	characteristic
94	C₁₃×#392	C₂²	1	1	yes	characteristic
95	C₁₃×#392	C₂²	1	1	yes	characteristic
96	C₁₃×#392	C₂²	1	1	yes	characteristic
97	C₁₃×#392	C₂²	1	1	yes	characteristic
98	C₁₃×#392	C₂²	1	1	yes	characteristic, complemented
99	C₁₃×#390	C₂²	1	1	yes	characteristic
100	C₁₃×#390	C₂²	1	1	yes	characteristic
101	C₁₃×#390	C₂²	1	1	yes	characteristic
102	C₁₃×#390	C₂²	1	1	yes	characteristic
103	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
104	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#388	C₂²	1	1	yes	characteristic
110	C₁₃×#388	C₂²	1	1	yes	characteristic
111	C₁₃×#388	C₂²	1	1	yes	characteristic
112	C₁₃×#388	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, complemented
118	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
122	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
123	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
124	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
125	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#386	C₂²	1	1	yes	characteristic
132	C₁₃×#386	C₂²	1	1	yes	characteristic
133	C₁₃×#386	C₂²	1	1	yes	characteristic
134	C₁₃×#386	C₂²	1	1	yes	characteristic
135	C₁₃×#386	C₂²	1	1	yes	characteristic
136	C₁₃×#386	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×#386	C₂²	1	1	yes	characteristic
147	C₁₃×#386	C₂²	1	1	yes	characteristic
148	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
149	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
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×#385	C₂²	1	1	yes	characteristic
160	C₁₃×#385	C₂²	1	1	yes	characteristic
161	C₁₃×#385	C₂²	1	1	yes	characteristic
162	C₁₃×#385	C₂²	1	1	yes	characteristic
163	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
164	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
165	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#383	C₂²	1	1	yes	characteristic, complemented
170	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
171	C₁₃×#381	C₂²	1	1	yes	characteristic
172	C₁₃×#381	C₂²	1	1	yes	characteristic
173	C₁₃×#381	C₂²	1	1	yes	characteristic
174	C₁₃×#381	C₂²	1	1	yes	characteristic
175	C₁₃×#381	C₂²	1	1	yes	characteristic, complemented
176	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
177	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
178	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
179	C₁₃×#379	C₂²	1	1	yes	characteristic
180	C₁₃×#379	C₂²	1	1	yes	characteristic
181	C₁₃×#379	C₂²	1	1	yes	characteristic
182	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
188	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
189	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×D₄×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	—	4	2	no	—
201	C₂³×C₄×C₁₃	—	4	2	no	—
202	C₂³×C₄×C₁₃	—	4	2	no	—
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×#123	—	4	2	no	—
215	C₁₃×#123	—	4	2	no	—
216	C₁₃×#123	—	4	2	no	—
217	C₁₃×#123	—	4	2	no	—
218	C₁₃×#123	—	4	2	no	—
219	C₁₃×#123	—	4	2	no	—
220	C₁₃×#121	—	2	4	no	—
221	C₁₃×#121	—	2	4	no	—
222	C₁₃×#121	—	4	2	no	—
223	C₁₃×#121	—	4	2	no	—
224	C₁₃×#120	—	2	4	no	—
225	C₁₃×#120	—	4	2	no	—
226	C₁₃×#120	—	4	2	no	—
227	C₄×D₄×C₁₃	—	4	2	no	—
228	C₄×D₄×C₁₃	—	4	2	no	—
229	C₄×D₄×C₁₃	—	4	2	no	—
230	C₄×D₄×C₁₃	—	4	2	no	—
231	C₁₃×#117	—	4	2	no	—
232	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₁₃×C₂²⋊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×C₄²×C₁₃	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	C₁₃×#95	C₂³	1	1	yes	characteristic
325	C₁₃×#95	C₂³	1	1	yes	characteristic
326	C₁₃×#95	C₂³	1	1	yes	characteristic
327	C₁₃×#95	C₂³	1	1	yes	characteristic
328	C₁₃×#95	C₂³	1	1	yes	characteristic
329	C₁₃×#95	C₂³	1	1	yes	characteristic
330	C₁₃×#95	C₂³	1	1	yes	characteristic
331	C₁₃×#95	C₂³	1	1	yes	characteristic
332	C₁₃×#95	C₂³	1	1	yes	characteristic
333	C₁₃×#95	C₂³	1	1	yes	characteristic
334	C₁₃×#95	C₂³	1	1	yes	characteristic
335	C₁₃×#95	C₂³	1	1	yes	characteristic
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	C₂³	1	1	yes	characteristic
340	C₁₃×#95	C₂³	1	1	yes	characteristic
341	C₁₃×#95	C₂³	1	1	yes	characteristic
342	C₁₃×#95	C₂³	1	1	yes	characteristic
343	C₁₃×#95	C₂³	1	1	yes	characteristic
344	C₁₃×#95	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	#36839	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
364	C₂⁴×C₁₃	—	2	2	no	—
365	C₂⁴×C₁₃	—	2	2	no	—
366	C₂⁴×C₁₃	—	2	2	no	—
367	C₂⁴×C₁₃	—	4	1	no	—
368	C₂⁴×C₁₃	—	4	1	no	—
369	C₂⁴×C₁₃	—	4	1	no	—
370	C₂⁴×C₁₃	—	4	1	no	—
371	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂×D₄×C₁₃	—	2	2	no	—
378	C₂×D₄×C₁₃	—	2	2	no	—
379	C₂×D₄×C₁₃	—	2	2	no	—
380	C₂×D₄×C₁₃	—	2	2	no	—
381	C₂×D₄×C₁₃	—	2	2	no	—
382	C₂×D₄×C₁₃	—	2	2	no	—
383	C₂×D₄×C₁₃	—	2	2	no	—
384	C₂×D₄×C₁₃	—	2	2	no	—
385	C₂×D₄×C₁₃	—	2	2	no	—
386	C₂×D₄×C₁₃	—	2	2	no	—
387	C₂×D₄×C₁₃	—	2	2	no	—
388	C₂×D₄×C₁₃	—	2	2	no	—
389	C₂×D₄×C₁₃	—	4	1	no	—
390	C₂×D₄×C₁₃	—	4	1	no	—
391	C₂×D₄×C₁₃	—	4	1	no	—
392	C₂×D₄×C₁₃	—	4	1	no	—
393	C₂×D₄×C₁₃	—	4	1	no	—
394	C₂×D₄×C₁₃	—	4	1	no	—
395	C₂×D₄×C₁₃	—	4	1	no	—
396	C₂×D₄×C₁₃	—	4	1	no	—
397	C₂×D₄×C₁₃	—	4	1	no	—
398	C₂×D₄×C₁₃	—	4	1	no	—
399	C₂×D₄×C₁₃	—	4	1	no	—
400	C₂×D₄×C₁₃	—	4	1	no	—
401	C₂×D₄×C₁₃	—	4	1	no	—
402	C₂×D₄×C₁₃	—	4	1	no	—
403	C₂×D₄×C₁₃	—	4	1	no	—
404	C₂×D₄×C₁₃	—	4	1	no	—
405	C₂×D₄×C₁₃	—	4	1	no	—
406	C₂×D₄×C₁₃	—	4	1	no	—
407	C₂×D₄×C₁₃	—	4	1	no	—
408	C₂×D₄×C₁₃	—	4	1	no	—
409	C₂×D₄×C₁₃	—	4	1	no	—
410	C₂×D₄×C₁₃	—	4	1	no	—
411	C₂×D₄×C₁₃	—	4	1	no	—
412	C₂×D₄×C₁₃	#41	1	4	yes	—
413	C₂²×C₄×C₁₃	—	2	2	no	—
414	C₂²×C₄×C₁₃	—	2	2	no	—
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	—	4	1	no	—
424	C₂²×C₄×C₁₃	—	4	1	no	—
425	C₂²×C₄×C₁₃	—	4	1	no	—
426	C₂²×C₄×C₁₃	—	4	1	no	—
427	C₂²×C₄×C₁₃	—	4	1	no	—
428	C₂²×C₄×C₁₃	—	4	1	no	—
429	C₂²×C₄×C₁₃	—	4	1	no	—
430	C₂²×C₄×C₁₃	—	4	1	no	—
431	C₂²×C₄×C₁₃	—	4	1	no	—
432	C₂²×C₄×C₁₃	—	4	1	no	—
433	C₂²×C₄×C₁₃	—	4	1	no	—
434	C₂²×C₄×C₁₃	—	4	1	no	—
435	C₂²×C₄×C₁₃	—	4	1	no	—
436	C₂²×C₄×C₁₃	—	4	1	no	—
437	C₂²×C₄×C₁₃	—	4	1	no	—
438	C₂²×C₄×C₁₃	—	4	1	no	—
439	C₂²×C₄×C₁₃	—	4	1	no	—
440	C₂²×C₄×C₁₃	—	4	1	no	—
441	C₂²×C₄×C₁₃	—	4	1	no	—
442	C₂²×C₄×C₁₃	—	4	1	no	—
443	C₂²×C₄×C₁₃	—	4	1	no	—
444	C₂²×C₄×C₁₃	—	4	1	no	—
445	C₂²×C₄×C₁₃	—	4	1	no	—
446	C₂²×C₄×C₁₃	—	4	16	no	—
447	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
448	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
449	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
450	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
451	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₁₃×C₄⋊C₄	—	2	2	no	—
473	C₁₃×C₄⋊C₄	—	2	2	no	—
474	C₁₃×C₄⋊C₄	—	2	2	no	—
475	C₁₃×C₄⋊C₄	—	2	2	no	—
476	C₁₃×C₄⋊C₄	—	4	1	no	—
477	C₁₃×C₄⋊C₄	—	4	1	no	—
478	C₁₃×C₄⋊C₄	—	4	1	no	—
479	C₁₃×C₄⋊C₄	—	4	1	no	—
480	C₁₃×C₄⋊C₄	—	4	1	no	—
481	C₁₃×C₄⋊C₄	—	4	1	no	—
482	C₁₃×C₄⋊C₄	—	4	1	no	—
483	C₁₃×C₄⋊C₄	—	4	1	no	—
484	C₁₃×C₄⋊C₄	—	4	1	no	—
485	C₁₃×C₄⋊C₄	—	4	1	no	—
486	C₁₃×C₄⋊C₄	—	4	1	no	—
487	C₁₃×C₄⋊C₄	—	4	1	no	—
488	C₁₃×C₄⋊C₄	—	4	1	no	—
489	C₁₃×C₄⋊C₄	—	4	1	no	—
490	C₁₃×C₄⋊C₄	—	4	1	no	—
491	C₁₃×C₄⋊C₄	—	4	1	no	—
492	C₁₃×C₄⋊C₄	—	4	1	no	—
493	C₁₃×C₄⋊C₄	—	4	1	no	—
494	C₁₃×C₄⋊C₄	—	4	1	no	—
495	C₁₃×C₄⋊C₄	—	4	1	no	—
496	C₁₃×C₄⋊C₄	—	4	1	no	—
497	C₁₃×C₄⋊C₄	—	4	1	no	—
498	C₁₃×C₄⋊C₄	—	4	1	no	—
499	C₁₃×C₄⋊C₄	—	4	1	no	—
500	C₁₃×C₂²⋊C₄	—	2	2	no	—
501	C₁₃×C₂²⋊C₄	—	2	2	no	—
502	C₁₃×C₂²⋊C₄	—	2	2	no	—
503	C₁₃×C₂²⋊C₄	—	2	2	no	—
504	C₁₃×C₂²⋊C₄	—	2	2	no	—
505	C₁₃×C₂²⋊C₄	—	2	2	no	—
506	C₁₃×C₂²⋊C₄	—	2	2	no	—
507	C₁₃×C₂²⋊C₄	—	2	2	no	—
508	C₁₃×C₂²⋊C₄	—	2	2	no	—
509	C₁₃×C₂²⋊C₄	—	2	2	no	—
510	C₁₃×C₂²⋊C₄	—	2	2	no	—
511	C₁₃×C₂²⋊C₄	—	2	2	no	—
512	C₁₃×C₂²⋊C₄	—	2	2	no	—
513	C₁₃×C₂²⋊C₄	—	2	2	no	—
514	C₁₃×C₂²⋊C₄	—	2	2	no	—
515	C₁₃×C₂²⋊C₄	—	4	1	no	—
516	C₁₃×C₂²⋊C₄	—	4	1	no	—
517	C₁₃×C₂²⋊C₄	—	4	1	no	—
518	C₁₃×C₂²⋊C₄	—	4	1	no	—
519	C₁₃×C₂²⋊C₄	—	4	1	no	—
520	C₁₃×C₂²⋊C₄	—	4	1	no	—
521	C₁₃×C₂²⋊C₄	—	4	1	no	—
522	C₁₃×C₂²⋊C₄	—	4	1	no	—
523	C₁₃×C₂²⋊C₄	—	4	1	no	—
524	C₁₃×C₂²⋊C₄	—	4	1	no	—
525	C₁₃×C₂²⋊C₄	—	4	1	no	—
526	C₁₃×C₂²⋊C₄	—	4	1	no	—
527	C₁₃×C₂²⋊C₄	—	4	1	no	—
528	C₁₃×C₂²⋊C₄	—	4	1	no	—
529	C₁₃×C₂²⋊C₄	—	4	1	no	—
530	C₁₃×C₂²⋊C₄	—	4	1	no	—
531	C₁₃×C₂²⋊C₄	—	4	1	no	—
532	C₁₃×C₂²⋊C₄	—	4	1	no	—
533	C₁₃×C₂²⋊C₄	—	4	1	no	—
534	C₁₃×C₂²⋊C₄	—	4	1	no	—
535	C₁₃×C₂²⋊C₄	—	4	1	no	—
536	C₁₃×C₂²⋊C₄	—	4	1	no	—
537	C₁₃×C₂²⋊C₄	—	4	1	no	—
538	C₁₃×C₂²⋊C₄	—	4	1	no	—
539	C₁₃×C₂²⋊C₄	—	4	1	no	—
540	C₁₃×C₂²⋊C₄	—	4	1	no	—
541	C₁₃×C₂²⋊C₄	—	4	1	no	—
542	C₁₃×C₂²⋊C₄	—	4	1	no	—
543	C₁₃×C₂²⋊C₄	—	4	1	no	—
544	C₁₃×C₂²⋊C₄	—	4	1	no	—
545	C₁₃×C₂²⋊C₄	—	4	1	no	—
546	C₁₃×C₂²⋊C₄	—	4	1	no	—
547	C₁₃×C₂²⋊C₄	—	4	1	no	—
548	C₁₃×C₂²⋊C₄	—	4	1	no	—
549	C₁₃×C₂²⋊C₄	—	4	1	no	—
550	C₁₃×C₂²⋊C₄	—	4	1	no	—
551	C₁₃×C₂²⋊C₄	—	4	1	no	—
552	C₄²×C₁₃	—	2	2	no	—
553	C₄²×C₁₃	—	4	1	no	—
554	C₄²×C₁₃	—	4	1	no	—
555	C₄²×C₁₃	—	4	1	no	—
556	C₄²×C₁₃	—	4	1	no	—
557	C₄²×C₁₃	—	4	1	no	—
558	C₄²×C₁₃	—	4	1	no	—
559	#2849	C₂×C₁₃	1	1	yes	characteristic, complemented
560	#2849	C₂×C₁₃	1	1	yes	characteristic, complemented
561	#2782	C₂×C₁₃	1	1	yes	characteristic, complemented
562	#2780	C₂×C₁₃	1	1	yes	characteristic, complemented
563	#2771	C₂×C₁₃	1	1	yes	characteristic, complemented
564	#2757	C₂×C₁₃	1	1	yes	characteristic, complemented
565	#2750	C₂×C₁₃	1	1	yes	characteristic, complemented
566	#2749	C₂×C₁₃	1	1	yes	characteristic, complemented
567	#2743	C₂×C₁₃	1	1	yes	characteristic, complemented
568	#2735	C₂×C₁₃	1	1	yes	characteristic, complemented
569	#2724	C₂×C₁₃	1	1	yes	characteristic, complemented
570	#2708	C₂×C₁₃	1	1	yes	characteristic, complemented
571	#2706	C₂×C₁₃	1	1	yes	characteristic, complemented
572	#2703	C₂×C₁₃	1	1	yes	characteristic, complemented
573	#2688	C₂×C₁₃	1	1	yes	characteristic, complemented
574	#2678	C₂×C₁₃	1	1	yes	characteristic, complemented
575	#2678	C₂×C₁₃	1	1	yes	characteristic, complemented
576	#2668	C₂×C₁₃	1	1	yes	characteristic, complemented
577	#2652	C₂×C₁₃	1	1	yes	characteristic, complemented
578	#2648	C₂×C₁₃	1	1	yes	characteristic, complemented
579	#2516	C₂×C₁₃	1	1	yes	characteristic, complemented
580	#2515	C₂×C₁₃	1	1	yes	characteristic, complemented
581	#2471	C₂×C₁₃	1	1	yes	characteristic, complemented
582	#2470	C₂×C₁₃	1	1	yes	characteristic, complemented
583	#2456	C₂×C₁₃	1	1	yes	characteristic, complemented
584	#2455	C₂×C₁₃	1	1	yes	characteristic, complemented
585	#2444	C₂×C₁₃	1	1	yes	characteristic, complemented
586	#2419	C₂×C₁₃	1	1	yes	characteristic, complemented
587	#2325	C₂×C₁₃	1	1	yes	characteristic, complemented
588	#2324	C₂×C₁₃	1	1	yes	characteristic, complemented
589	C₄×#120	C₂×C₁₃	1	1	yes	characteristic, complemented
590	C₂³×C₁₃	—	2	1	no	—
591	C₂³×C₁₃	—	2	1	no	—
592	C₂³×C₁₃	—	2	1	no	—
593	C₂³×C₁₃	—	2	1	no	—
594	C₂³×C₁₃	—	2	1	no	—
595	C₂³×C₁₃	—	2	1	no	—
596	C₂³×C₁₃	—	2	1	no	—
597	C₂³×C₁₃	—	2	1	no	—
598	C₂³×C₁₃	—	2	1	no	—
599	C₂³×C₁₃	—	2	1	no	—
600	C₂³×C₁₃	—	2	1	no	—
601	C₂³×C₁₃	—	2	1	no	—
602	C₂³×C₁₃	—	2	1	no	—
603	C₂³×C₁₃	—	2	1	no	—
604	C₂³×C₁₃	—	2	1	no	—
605	C₂³×C₁₃	—	2	1	no	—
606	C₂³×C₁₃	—	2	1	no	—
607	C₂³×C₁₃	—	2	1	no	—
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	—	4	4	no	—
629	C₂³×C₁₃	—	4	4	no	—
630	C₂³×C₁₃	—	4	4	no	—
631	C₂³×C₁₃	—	4	4	no	—
632	C₂³×C₁₃	—	4	4	no	—
633	C₂³×C₁₃	—	4	4	no	—
634	C₂³×C₁₃	—	4	4	no	—
635	C₂³×C₁₃	C₂×#41	1	2	yes	—
636	C₂³×C₁₃	C₂×#41	1	2	yes	—
637	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
638	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
639	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
640	D₄×C₁₃	—	4	4	no	—
641	D₄×C₁₃	—	4	4	no	—
642	D₄×C₁₃	—	4	4	no	—
643	D₄×C₁₃	—	4	4	no	—
644	D₄×C₁₃	—	8	2	no	—
645	D₄×C₁₃	—	8	2	no	—
646	D₄×C₁₃	—	8	2	no	—
647	D₄×C₁₃	—	8	2	no	—
648	D₄×C₁₃	—	8	2	no	—
649	D₄×C₁₃	—	8	2	no	—
650	D₄×C₁₃	—	8	2	no	—
651	D₄×C₁₃	—	8	2	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	1	no	—
674	C₂×C₄×C₁₃	—	2	1	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	—	2	1	no	—
718	C₂×C₄×C₁₃	—	2	1	no	—
719	C₂×C₄×C₁₃	—	2	1	no	—
720	C₂×C₄×C₁₃	—	2	1	no	—
721	C₂×C₄×C₁₃	—	2	1	no	—
722	C₂×C₄×C₁₃	—	2	1	no	—
723	C₂×C₄×C₁₃	—	2	1	no	—
724	C₂×C₄×C₁₃	—	2	1	no	—
725	C₂×C₄×C₁₃	—	4	4	no	—
726	C₂×C₄×C₁₃	—	4	4	no	—
727	C₂×C₄×C₁₃	—	4	4	no	—
728	C₂×C₄×C₁₃	—	4	4	no	—
729	C₂×C₄×C₁₃	—	4	4	no	—
730	C₂×C₄×C₁₃	—	4	4	no	—
731	C₂×C₄×C₁₃	—	4	4	no	—
732	C₂×C₄×C₁₃	—	8	2	no	—
733	C₂×C₄×C₁₃	—	8	2	no	—
734	C₂×C₄×C₁₃	—	8	2	no	—
735	C₂×C₄×C₁₃	—	8	2	no	—
736	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
737	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
738	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
739	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
740	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
741	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
742	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
743	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
744	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
745	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
746	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
747	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
748	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
749	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
750	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
751	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
752	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
753	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
754	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
755	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
756	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
757	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
758	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
760	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
761	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
762	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
763	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
764	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
765	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
766	#399	C₂²×C₁₃	1	1	yes	characteristic
767	#399	C₂²×C₁₃	1	1	yes	characteristic
768	#399	C₂²×C₁₃	1	1	yes	characteristic, complemented
769	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
770	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
771	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
772	#397	C₂²×C₁₃	1	1	yes	characteristic
773	#397	C₂²×C₁₃	1	1	yes	characteristic
774	#397	C₂²×C₁₃	1	1	yes	characteristic
775	#397	C₂²×C₁₃	1	1	yes	characteristic
776	#397	C₂²×C₁₃	1	1	yes	characteristic
777	#397	C₂²×C₁₃	1	1	yes	characteristic
778	#397	C₂²×C₁₃	1	1	yes	characteristic
779	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
780	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
781	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
783	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
784	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
785	#396	C₂²×C₁₃	1	1	yes	characteristic
786	#396	C₂²×C₁₃	1	1	yes	characteristic
787	#396	C₂²×C₁₃	1	1	yes	characteristic
788	#396	C₂²×C₁₃	1	1	yes	characteristic
789	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
790	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
791	#394	C₂²×C₁₃	1	1	yes	characteristic
792	#394	C₂²×C₁₃	1	1	yes	characteristic
793	#394	C₂²×C₁₃	1	1	yes	characteristic
794	#394	C₂²×C₁₃	1	1	yes	characteristic
795	#394	C₂²×C₁₃	1	1	yes	characteristic
796	#394	C₂²×C₁₃	1	1	yes	characteristic
797	#394	C₂²×C₁₃	1	1	yes	characteristic, complemented
798	#394	C₂²×C₁₃	1	1	yes	characteristic, complemented
799	#392	C₂²×C₁₃	1	1	yes	characteristic
800	#392	C₂²×C₁₃	1	1	yes	characteristic
801	#392	C₂²×C₁₃	1	1	yes	characteristic
802	#392	C₂²×C₁₃	1	1	yes	characteristic
803	#392	C₂²×C₁₃	1	1	yes	characteristic
804	#392	C₂²×C₁₃	1	1	yes	characteristic, complemented
805	#390	C₂²×C₁₃	1	1	yes	characteristic
806	#390	C₂²×C₁₃	1	1	yes	characteristic
807	#390	C₂²×C₁₃	1	1	yes	characteristic
808	#390	C₂²×C₁₃	1	1	yes	characteristic
809	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
810	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
811	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
812	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
813	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
814	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
815	#388	C₂²×C₁₃	1	1	yes	characteristic
816	#388	C₂²×C₁₃	1	1	yes	characteristic
817	#388	C₂²×C₁₃	1	1	yes	characteristic
818	#388	C₂²×C₁₃	1	1	yes	characteristic
819	#388	C₂²×C₁₃	1	1	yes	characteristic
820	#388	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, complemented
824	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
825	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
826	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
827	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
828	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
829	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
830	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
831	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
832	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
833	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
834	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
835	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
836	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
837	#386	C₂²×C₁₃	1	1	yes	characteristic
838	#386	C₂²×C₁₃	1	1	yes	characteristic
839	#386	C₂²×C₁₃	1	1	yes	characteristic
840	#386	C₂²×C₁₃	1	1	yes	characteristic
841	#386	C₂²×C₁₃	1	1	yes	characteristic
842	#386	C₂²×C₁₃	1	1	yes	characteristic
843	#386	C₂²×C₁₃	1	1	yes	characteristic
844	#386	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	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
855	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
857	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	#385	C₂²×C₁₃	1	1	yes	characteristic
868	#385	C₂²×C₁₃	1	1	yes	characteristic
869	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
870	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
871	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
872	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
873	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
874	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
875	#383	C₂²×C₁₃	1	1	yes	characteristic, complemented
876	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
877	#381	C₂²×C₁₃	1	1	yes	characteristic
878	#381	C₂²×C₁₃	1	1	yes	characteristic
879	#381	C₂²×C₁₃	1	1	yes	characteristic
880	#381	C₂²×C₁₃	1	1	yes	characteristic
881	#381	C₂²×C₁₃	1	1	yes	characteristic, complemented
882	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
883	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
884	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
885	#379	C₂²×C₁₃	1	1	yes	characteristic
886	#379	C₂²×C₁₃	1	1	yes	characteristic
887	#379	C₂²×C₁₃	1	1	yes	characteristic
888	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic, complemented
893	C₂²×C₁₃	—	2	2	no	—
894	C₂²×C₁₃	—	2	2	no	—
895	C₂²×C₁₃	—	2	2	no	—
896	C₂²×C₁₃	—	2	2	no	—
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	—	4	16	no	—
906	C₂²×C₁₃	—	4	1	no	—
907	C₂²×C₁₃	—	4	1	no	—
908	C₂²×C₁₃	—	4	1	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	—	4	1	no	—
925	C₂²×C₁₃	—	4	1	no	—
926	C₂²×C₁₃	—	4	1	no	—
927	C₂²×C₁₃	—	4	1	no	—
928	C₂²×C₁₃	—	4	1	no	—
929	C₂²×C₁₃	—	4	1	no	—
930	C₂²×C₁₃	—	4	1	no	—
931	C₂²×C₁₃	—	4	1	no	—
932	C₂²×C₁₃	—	4	1	no	—
933	C₂²×C₁₃	—	4	1	no	—
934	C₂²×C₁₃	—	4	1	no	—
935	C₂²×C₁₃	—	4	1	no	—
936	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
937	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
938	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
939	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
940	C₂²×C₁₃	#585	1	1	yes	characteristic
941	C₂²×C₁₃	#585	1	1	yes	characteristic
942	C₂²×C₁₃	#585	1	1	yes	characteristic
943	C₄×C₁₃	—	2	2	no	—
944	C₄×C₁₃	—	2	2	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	—	4	1	no	—
959	C₄×C₁₃	—	4	1	no	—
960	C₄×C₁₃	—	4	1	no	—
961	C₄×C₁₃	—	4	1	no	—
962	C₄×C₁₃	—	4	1	no	—
963	C₄×C₁₃	—	4	1	no	—
964	C₄×C₁₃	—	4	1	no	—
965	C₄×C₁₃	—	4	1	no	—
966	C₄×C₁₃	—	4	1	no	—
967	C₄×C₁₃	—	4	1	no	—
968	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
969	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
970	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
971	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
972	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
973	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
974	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
975	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
976	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
977	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
978	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
979	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
980	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
981	C₂³×C₄	—	4	2	no	—
982	C₂³×C₄	—	4	2	no	—
983	C₂³×C₄	—	4	2	no	—
984	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
985	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
986	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
987	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
988	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
989	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
990	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
991	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
992	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
993	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
994	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
995	#123	—	4	2	no	—
996	#123	—	4	2	no	—
997	#123	—	4	2	no	—
998	#123	—	4	2	no	—
999	#123	—	4	2	no	—
1000	#123	—	4	2	no	—
1001	#121	—	2	4	no	—
1002	#121	—	2	4	no	—
1003	#121	—	4	2	no	—
1004	#121	—	4	2	no	—
1005	#120	—	2	4	no	—
1006	#120	—	4	2	no	—
1007	#120	—	4	2	no	—
1008	C₄×D₄	—	4	2	no	—
1009	C₄×D₄	—	4	2	no	—
1010	C₄×D₄	—	4	2	no	—
1011	C₄×D₄	—	4	2	no	—
1012	#117	—	4	2	no	—
1013	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1042	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1046	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1054	C₂×C₂²⋊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×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1090	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1091	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1092	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1093	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
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	#95	C₂³×C₁₃	1	1	yes	characteristic
1101	#95	C₂³×C₁₃	1	1	yes	characteristic
1102	#95	C₂³×C₁₃	1	1	yes	characteristic
1103	#95	C₂³×C₁₃	1	1	yes	characteristic
1104	#95	C₂³×C₁₃	1	1	yes	characteristic
1105	#95	C₂³×C₁₃	1	1	yes	characteristic
1106	#95	C₂³×C₁₃	1	1	yes	characteristic
1107	#95	C₂³×C₁₃	1	1	yes	characteristic
1108	#95	C₂³×C₁₃	1	1	yes	characteristic
1109	#95	C₂³×C₁₃	1	1	yes	characteristic
1110	#95	C₂³×C₁₃	1	1	yes	characteristic
1111	#95	C₂³×C₁₃	1	1	yes	characteristic
1112	#95	C₂³×C₁₃	1	1	yes	characteristic
1113	#95	C₂³×C₁₃	1	1	yes	characteristic
1114	#95	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	C₂×C₁₃	—	4	2	no	—
1145	C₂×C₁₃	—	4	2	no	—
1146	C₂×C₁₃	—	4	2	no	—
1147	C₂×C₁₃	—	4	2	no	—
1148	C₂×C₁₃	—	8	1	no	—
1149	C₂×C₁₃	—	8	1	no	—
1150	C₂×C₁₃	#3459	1	1	yes	characteristic
1151	C₂×C₁₃	#3513	1	1	yes	characteristic
1152	C₂×C₁₃	#3513	1	1	yes	characteristic
1153	C₂×C₁₃	#3532	1	1	yes	characteristic
1154	C₂×C₁₃	#3533	1	1	yes	characteristic
1155	C₂×C₁₃	#3533	1	1	yes	characteristic
1156	C₂×C₁₃	#3539	1	1	yes	characteristic
1157	C₂⁴	—	2	2	no	—
1158	C₂⁴	—	2	2	no	—
1159	C₂⁴	—	2	2	no	—
1160	C₂⁴	—	4	1	no	—
1161	C₂⁴	—	4	1	no	—
1162	C₂⁴	—	4	1	no	—
1163	C₂⁴	—	4	1	no	—
1164	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1165	C₂⁴	C₂⁴×C₁₃	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	C₂×D₄	—	2	2	no	—
1171	C₂×D₄	—	2	2	no	—
1172	C₂×D₄	—	2	2	no	—
1173	C₂×D₄	—	2	2	no	—
1174	C₂×D₄	—	2	2	no	—
1175	C₂×D₄	—	2	2	no	—
1176	C₂×D₄	—	2	2	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	—	4	1	no	—
1183	C₂×D₄	—	4	1	no	—
1184	C₂×D₄	—	4	1	no	—
1185	C₂×D₄	—	4	1	no	—
1186	C₂×D₄	—	4	1	no	—
1187	C₂×D₄	—	4	1	no	—
1188	C₂×D₄	—	4	1	no	—
1189	C₂×D₄	—	4	1	no	—
1190	C₂×D₄	—	4	1	no	—
1191	C₂×D₄	—	4	1	no	—
1192	C₂×D₄	—	4	1	no	—
1193	C₂×D₄	—	4	1	no	—
1194	C₂×D₄	—	4	1	no	—
1195	C₂×D₄	—	4	1	no	—
1196	C₂×D₄	—	4	1	no	—
1197	C₂×D₄	—	4	1	no	—
1198	C₂×D₄	—	4	1	no	—
1199	C₂×D₄	—	4	1	no	—
1200	C₂×D₄	—	4	1	no	—
1201	C₂×D₄	—	4	1	no	—
1202	C₂×D₄	—	4	1	no	—
1203	C₂×D₄	—	4	1	no	—
1204	C₂×D₄	—	4	1	no	—
1205	C₂×D₄	C₁₃×#41	1	4	yes	—
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	—	4	1	no	—
1217	C₂²×C₄	—	4	1	no	—
1218	C₂²×C₄	—	4	1	no	—
1219	C₂²×C₄	—	4	1	no	—
1220	C₂²×C₄	—	4	1	no	—
1221	C₂²×C₄	—	4	1	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	4	1	no	—
1224	C₂²×C₄	—	4	1	no	—
1225	C₂²×C₄	—	4	1	no	—
1226	C₂²×C₄	—	4	1	no	—
1227	C₂²×C₄	—	4	1	no	—
1228	C₂²×C₄	—	4	1	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	—	4	1	no	—
1235	C₂²×C₄	—	4	1	no	—
1236	C₂²×C₄	—	4	1	no	—
1237	C₂²×C₄	—	4	1	no	—
1238	C₂²×C₄	—	4	1	no	—
1239	C₂²×C₄	—	4	16	no	—
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	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	—	4	1	no	—
1270	C₄⋊C₄	—	4	1	no	—
1271	C₄⋊C₄	—	4	1	no	—
1272	C₄⋊C₄	—	4	1	no	—
1273	C₄⋊C₄	—	4	1	no	—
1274	C₄⋊C₄	—	4	1	no	—
1275	C₄⋊C₄	—	4	1	no	—
1276	C₄⋊C₄	—	4	1	no	—
1277	C₄⋊C₄	—	4	1	no	—
1278	C₄⋊C₄	—	4	1	no	—
1279	C₄⋊C₄	—	4	1	no	—
1280	C₄⋊C₄	—	4	1	no	—
1281	C₄⋊C₄	—	4	1	no	—
1282	C₄⋊C₄	—	4	1	no	—
1283	C₄⋊C₄	—	4	1	no	—
1284	C₄⋊C₄	—	4	1	no	—
1285	C₄⋊C₄	—	4	1	no	—
1286	C₄⋊C₄	—	4	1	no	—
1287	C₄⋊C₄	—	4	1	no	—
1288	C₄⋊C₄	—	4	1	no	—
1289	C₄⋊C₄	—	4	1	no	—
1290	C₄⋊C₄	—	4	1	no	—
1291	C₄⋊C₄	—	4	1	no	—
1292	C₄⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	2	2	no	—
1294	C₂²⋊C₄	—	2	2	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	2	2	no	—
1299	C₂²⋊C₄	—	2	2	no	—
1300	C₂²⋊C₄	—	2	2	no	—
1301	C₂²⋊C₄	—	2	2	no	—
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	—	4	1	no	—
1309	C₂²⋊C₄	—	4	1	no	—
1310	C₂²⋊C₄	—	4	1	no	—
1311	C₂²⋊C₄	—	4	1	no	—
1312	C₂²⋊C₄	—	4	1	no	—
1313	C₂²⋊C₄	—	4	1	no	—
1314	C₂²⋊C₄	—	4	1	no	—
1315	C₂²⋊C₄	—	4	1	no	—
1316	C₂²⋊C₄	—	4	1	no	—
1317	C₂²⋊C₄	—	4	1	no	—
1318	C₂²⋊C₄	—	4	1	no	—
1319	C₂²⋊C₄	—	4	1	no	—
1320	C₂²⋊C₄	—	4	1	no	—
1321	C₂²⋊C₄	—	4	1	no	—
1322	C₂²⋊C₄	—	4	1	no	—
1323	C₂²⋊C₄	—	4	1	no	—
1324	C₂²⋊C₄	—	4	1	no	—
1325	C₂²⋊C₄	—	4	1	no	—
1326	C₂²⋊C₄	—	4	1	no	—
1327	C₂²⋊C₄	—	4	1	no	—
1328	C₂²⋊C₄	—	4	1	no	—
1329	C₂²⋊C₄	—	4	1	no	—
1330	C₂²⋊C₄	—	4	1	no	—
1331	C₂²⋊C₄	—	4	1	no	—
1332	C₂²⋊C₄	—	4	1	no	—
1333	C₂²⋊C₄	—	4	1	no	—
1334	C₂²⋊C₄	—	4	1	no	—
1335	C₂²⋊C₄	—	4	1	no	—
1336	C₂²⋊C₄	—	4	1	no	—
1337	C₂²⋊C₄	—	4	1	no	—
1338	C₂²⋊C₄	—	4	1	no	—
1339	C₂²⋊C₄	—	4	1	no	—
1340	C₂²⋊C₄	—	4	1	no	—
1341	C₂²⋊C₄	—	4	1	no	—
1342	C₂²⋊C₄	—	4	1	no	—
1343	C₂²⋊C₄	—	4	1	no	—
1344	C₂²⋊C₄	—	4	1	no	—
1345	C₄²	—	2	2	no	—
1346	C₄²	—	4	1	no	—
1347	C₄²	—	4	1	no	—
1348	C₄²	—	4	1	no	—
1349	C₄²	—	4	1	no	—
1350	C₄²	—	4	1	no	—
1351	C₄²	—	4	1	no	—
1352	C₁₃	#36839	1	1	yes	characteristic, direct product factor, Sylow
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	1	no	—
1356	C₂³	—	2	1	no	—
1357	C₂³	—	2	1	no	—
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	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	4	4	no	—
1392	C₂³	—	4	4	no	—
1393	C₂³	—	4	4	no	—
1394	C₂³	—	4	4	no	—
1395	C₂³	—	4	4	no	—
1396	C₂³	—	4	4	no	—
1397	C₂³	—	4	4	no	—
1398	C₂³	C₂×C₁₃×#41	1	2	yes	—
1399	C₂³	C₂×C₁₃×#41	1	2	yes	—
1400	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1401	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1402	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1403	D₄	—	4	4	no	—
1404	D₄	—	4	4	no	—
1405	D₄	—	4	4	no	—
1406	D₄	—	4	4	no	—
1407	D₄	—	8	2	no	—
1408	D₄	—	8	2	no	—
1409	D₄	—	8	2	no	—
1410	D₄	—	8	2	no	—
1411	D₄	—	8	2	no	—
1412	D₄	—	8	2	no	—
1413	D₄	—	8	2	no	—
1414	D₄	—	8	2	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	1	no	—
1424	C₂×C₄	—	2	1	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	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	4	4	no	—
1489	C₂×C₄	—	4	4	no	—
1490	C₂×C₄	—	4	4	no	—
1491	C₂×C₄	—	4	4	no	—
1492	C₂×C₄	—	4	4	no	—
1493	C₂×C₄	—	4	4	no	—
1494	C₂×C₄	—	4	4	no	—
1495	C₂×C₄	—	8	2	no	—
1496	C₂×C₄	—	8	2	no	—
1497	C₂×C₄	—	8	2	no	—
1498	C₂×C₄	—	8	2	no	—
1499	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1500	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	2	no	—
1503	C₂²	—	2	2	no	—
1504	C₂²	—	2	2	no	—
1505	C₂²	—	2	2	no	—
1506	C₂²	—	2	2	no	—
1507	C₂²	—	2	2	no	—
1508	C₂²	—	2	2	no	—
1509	C₂²	—	2	2	no	—
1510	C₂²	—	2	2	no	—
1511	C₂²	—	2	2	no	—
1512	C₂²	—	2	2	no	—
1513	C₂²	—	4	16	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	4	1	no	—
1520	C₂²	—	4	1	no	—
1521	C₂²	—	4	1	no	—
1522	C₂²	—	4	1	no	—
1523	C₂²	—	4	1	no	—
1524	C₂²	—	4	1	no	—
1525	C₂²	—	4	1	no	—
1526	C₂²	—	4	1	no	—
1527	C₂²	—	4	1	no	—
1528	C₂²	—	4	1	no	—
1529	C₂²	—	4	1	no	—
1530	C₂²	—	4	1	no	—
1531	C₂²	—	4	1	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	—	4	1	no	—
1534	C₂²	—	4	1	no	—
1535	C₂²	—	4	1	no	—
1536	C₂²	—	4	1	no	—
1537	C₂²	—	4	1	no	—
1538	C₂²	—	4	1	no	—
1539	C₂²	—	4	1	no	—
1540	C₂²	—	4	1	no	—
1541	C₂²	—	4	1	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1545	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1546	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1547	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1548	C₂²	C₁₃×#585	1	1	yes	characteristic
1549	C₂²	C₁₃×#585	1	1	yes	characteristic
1550	C₂²	C₁₃×#585	1	1	yes	characteristic
1551	C₄	—	2	2	no	—
1552	C₄	—	2	2	no	—
1553	C₄	—	4	1	no	—
1554	C₄	—	4	1	no	—
1555	C₄	—	4	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₄	—	4	1	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	4	1	no	—
1564	C₄	—	4	1	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	4	1	no	—
1576	C₂	—	4	2	no	—
1577	C₂	—	4	2	no	—
1578	C₂	—	4	2	no	—
1579	C₂	—	4	2	no	—
1580	C₂	—	8	1	no	—
1581	C₂	—	8	1	no	—
1582	C₂	C₁₃×#3459	1	1	yes	characteristic
1583	C₂	C₁₃×#3513	1	1	yes	characteristic
1584	C₂	C₁₃×#3513	1	1	yes	characteristic
1585	C₂	C₁₃×#3532	1	1	yes	characteristic
1586	C₂	C₁₃×#3533	1	1	yes	characteristic
1587	C₂	C₁₃×#3533	1	1	yes	characteristic
1588	C₂	C₁₃×#3539	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
1. C₁₃×#2849	C₂	semidirect
2. C₁₃×#2849	C₂	semidirect
3. C₁₃×#2782	C₂	semidirect
4. C₁₃×#2780	C₂	semidirect
5. C₁₃×#2771	C₂	semidirect
6. C₁₃×#2757	C₂	semidirect
7. C₁₃×#2750	C₂	semidirect
8. C₁₃×#2749	C₂	semidirect
9. C₁₃×#2743	C₂	semidirect
10. C₁₃×#2735	C₂	semidirect
11. C₁₃×#2724	C₂	semidirect
12. C₁₃×#2708	C₂	semidirect
13. C₁₃×#2706	C₂	semidirect
14. C₁₃×#2703	C₂	semidirect
15. C₁₃×#2688	C₂	semidirect
16. C₁₃×#2678	C₂	semidirect
17. C₁₃×#2678	C₂	semidirect
18. C₁₃×#2668	C₂	semidirect
19. C₁₃×#2652	C₂	semidirect
20. C₁₃×#2648	C₂	semidirect
21. C₁₃×#2516	C₂	semidirect
22. C₁₃×#2515	C₂	semidirect
23. C₁₃×#2471	C₂	semidirect
24. C₁₃×#2470	C₂	semidirect
25. C₁₃×#2456	C₂	semidirect
26. C₁₃×#2455	C₂	semidirect
27. C₁₃×#2444	C₂	semidirect
28. C₁₃×#2419	C₂	semidirect
29. C₁₃×#2325	C₂	semidirect
30. C₁₃×#2324	C₂	semidirect
31. C₄×C₁₃×#120	C₂	semidirect
49. C₂×C₄×D₄×C₁₃	C₂²	semidirect
50. C₂×C₁₃×#117	C₂²	semidirect
51. C₁₃×#400	C₂²	semidirect
52. C₁₃×#400	C₂²	semidirect
53. C₁₃×#400	C₂²	semidirect
54. C₁₃×#400	C₂²	semidirect
55. C₁₃×#400	C₂²	semidirect
56. C₁₃×#400	C₂²	semidirect
57. C₁₃×#400	C₂²	semidirect
58. C₁₃×#400	C₂²	semidirect
59. C₁₃×#400	C₂²	semidirect
62. C₁₃×#399	C₂²	semidirect
63. C₁₃×#398	C₂²	semidirect
64. C₁₃×#398	C₂²	semidirect
65. C₁₃×#398	C₂²	semidirect
73. C₁₃×#397	C₂²	semidirect
74. C₁₃×#397	C₂²	semidirect
75. C₁₃×#397	C₂²	semidirect
76. C₁₃×#397	C₂²	semidirect
77. C₁₃×#397	C₂²	semidirect
78. C₁₃×#397	C₂²	semidirect
83. C₁₃×#396	C₂²	semidirect
84. C₁₃×#396	C₂²	semidirect
91. C₁₃×#394	C₂²	semidirect
92. C₁₃×#394	C₂²	semidirect
98. C₁₃×#392	C₂²	semidirect
103. C₁₃×#390	C₂²	semidirect
104. C₁₃×#390	C₂²	semidirect
105. C₁₃×#389	C₂²	semidirect
106. C₁₃×#389	C₂²	semidirect
107. C₁₃×#389	C₂²	semidirect
108. C₁₃×#389	C₂²	semidirect
117. C₁₃×#388	C₂²	semidirect
118. C₁₃×#388	C₂²	semidirect
119. C₁₃×#388	C₂²	semidirect
120. C₁₃×#388	C₂²	semidirect
121. C₁₃×#388	C₂²	semidirect
122. C₁₃×#388	C₂²	semidirect
123. C₁₃×#387	C₂²	semidirect
124. C₁₃×#387	C₂²	semidirect
125. C₁₃×#387	C₂²	semidirect
126. C₁₃×#387	C₂²	semidirect
127. C₁₃×#387	C₂²	semidirect
128. C₁₃×#387	C₂²	semidirect
129. C₁₃×#387	C₂²	semidirect
130. C₁₃×#387	C₂²	semidirect
148. C₁₃×#386	C₂²	semidirect
149. C₁₃×#386	C₂²	semidirect
150. C₁₃×#386	C₂²	semidirect
151. C₁₃×#386	C₂²	semidirect
163. C₁₃×#385	C₂²	semidirect
164. C₁₃×#385	C₂²	semidirect
165. C₁₃×#385	C₂²	semidirect
166. C₁₃×#385	C₂²	semidirect
167. C₁₃×#385	C₂²	semidirect
168. C₁₃×#385	C₂²	semidirect
169. C₁₃×#383	C₂²	semidirect
170. C₁₃×#382	C₂²	semidirect
175. C₁₃×#381	C₂²	semidirect
176. C₁₃×#380	C₂²	semidirect
177. C₁₃×#380	C₂²	semidirect
178. C₁₃×#380	C₂²	semidirect
182. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
186. C₂×C₁₃×#95	C₂²	semidirect
363. #36839	C₁₃	direct (N × H)
559. #2849	C₂×C₁₃	semidirect
560. #2849	C₂×C₁₃	semidirect
561. #2782	C₂×C₁₃	semidirect
562. #2780	C₂×C₁₃	semidirect
563. #2771	C₂×C₁₃	semidirect
564. #2757	C₂×C₁₃	semidirect
565. #2750	C₂×C₁₃	semidirect
566. #2749	C₂×C₁₃	semidirect
567. #2743	C₂×C₁₃	semidirect
568. #2735	C₂×C₁₃	semidirect
569. #2724	C₂×C₁₃	semidirect
570. #2708	C₂×C₁₃	semidirect
571. #2706	C₂×C₁₃	semidirect
572. #2703	C₂×C₁₃	semidirect
573. #2688	C₂×C₁₃	semidirect
574. #2678	C₂×C₁₃	semidirect
575. #2678	C₂×C₁₃	semidirect
576. #2668	C₂×C₁₃	semidirect
577. #2652	C₂×C₁₃	semidirect
578. #2648	C₂×C₁₃	semidirect
579. #2516	C₂×C₁₃	semidirect
580. #2515	C₂×C₁₃	semidirect
581. #2471	C₂×C₁₃	semidirect
582. #2470	C₂×C₁₃	semidirect
583. #2456	C₂×C₁₃	semidirect
584. #2455	C₂×C₁₃	semidirect
585. #2444	C₂×C₁₃	semidirect
586. #2419	C₂×C₁₃	semidirect
587. #2325	C₂×C₁₃	semidirect
588. #2324	C₂×C₁₃	semidirect
589. C₄×#120	C₂×C₁₃	semidirect
755. C₂×C₄×D₄	C₂²×C₁₃	semidirect
756. C₂×#117	C₂²×C₁₃	semidirect
757. #400	C₂²×C₁₃	semidirect
758. #400	C₂²×C₁₃	semidirect
759. #400	C₂²×C₁₃	semidirect
760. #400	C₂²×C₁₃	semidirect
761. #400	C₂²×C₁₃	semidirect
762. #400	C₂²×C₁₃	semidirect
763. #400	C₂²×C₁₃	semidirect
764. #400	C₂²×C₁₃	semidirect
765. #400	C₂²×C₁₃	semidirect
768. #399	C₂²×C₁₃	semidirect
769. #398	C₂²×C₁₃	semidirect
770. #398	C₂²×C₁₃	semidirect
771. #398	C₂²×C₁₃	semidirect
779. #397	C₂²×C₁₃	semidirect
780. #397	C₂²×C₁₃	semidirect
781. #397	C₂²×C₁₃	semidirect
782. #397	C₂²×C₁₃	semidirect
783. #397	C₂²×C₁₃	semidirect
784. #397	C₂²×C₁₃	semidirect
789. #396	C₂²×C₁₃	semidirect
790. #396	C₂²×C₁₃	semidirect
797. #394	C₂²×C₁₃	semidirect
798. #394	C₂²×C₁₃	semidirect
804. #392	C₂²×C₁₃	semidirect
809. #390	C₂²×C₁₃	semidirect
810. #390	C₂²×C₁₃	semidirect
811. #389	C₂²×C₁₃	semidirect
812. #389	C₂²×C₁₃	semidirect
813. #389	C₂²×C₁₃	semidirect
814. #389	C₂²×C₁₃	semidirect
823. #388	C₂²×C₁₃	semidirect
824. #388	C₂²×C₁₃	semidirect
825. #388	C₂²×C₁₃	semidirect
826. #388	C₂²×C₁₃	semidirect
827. #388	C₂²×C₁₃	semidirect
828. #388	C₂²×C₁₃	semidirect
829. #387	C₂²×C₁₃	semidirect
830. #387	C₂²×C₁₃	semidirect
831. #387	C₂²×C₁₃	semidirect
832. #387	C₂²×C₁₃	semidirect
833. #387	C₂²×C₁₃	semidirect
834. #387	C₂²×C₁₃	semidirect
835. #387	C₂²×C₁₃	semidirect
836. #387	C₂²×C₁₃	semidirect
854. #386	C₂²×C₁₃	semidirect
855. #386	C₂²×C₁₃	semidirect
856. #386	C₂²×C₁₃	semidirect
857. #386	C₂²×C₁₃	semidirect
869. #385	C₂²×C₁₃	semidirect
870. #385	C₂²×C₁₃	semidirect
871. #385	C₂²×C₁₃	semidirect
872. #385	C₂²×C₁₃	semidirect
873. #385	C₂²×C₁₃	semidirect
874. #385	C₂²×C₁₃	semidirect
875. #383	C₂²×C₁₃	semidirect
876. #382	C₂²×C₁₃	semidirect
881. #381	C₂²×C₁₃	semidirect
882. #380	C₂²×C₁₃	semidirect
883. #380	C₂²×C₁₃	semidirect
884. #380	C₂²×C₁₃	semidirect
888. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
892. C₂×#95	C₂²×C₁₃	semidirect
1352. C₁₃	#36839	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×#2849	2
C₁₃×#2782	2
C₁₃×#2780	2
C₁₃×#2771	2
C₁₃×#2757	2
C₁₃×#2750	2
C₁₃×#2749	2
C₁₃×#2743	2
C₁₃×#2735	2
C₁₃×#2724	2
C₁₃×#2708	2
C₁₃×#2706	2
C₁₃×#2703	2
C₁₃×#2688	2
C₁₃×#2678	2
C₁₃×#2668	2
C₁₃×#2652	2
C₁₃×#2648	2
C₁₃×#2516	2
C₁₃×#2515	2
C₁₃×#2471	2
C₁₃×#2470	2
C₁₃×#2456	2
C₁₃×#2455	2
C₁₃×#2444	2
C₁₃×#2419	2
C₁₃×#2325	2
C₁₃×#2324	2
C₄×C₁₃×#120	2
#36839	13

Subgroups — C13×#36839 #15723178

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#36839 #15723178