Subgroups — C₁₃×#34959 #15721298

Order 3328.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#2597	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₃×#2595	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2589	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2587	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2578	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2576	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2559	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2557	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2510	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2505	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2480	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2472	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2450	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2444	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2424	C₂	1	1	yes	maximal, characteristic
16	C₁₃×#2418	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2401	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2398	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₃×#2395	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2392	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×C₁₃×#126	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×C₁₃×#124	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×#121	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×C₁₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×C₁₃×#120	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
41	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃	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
50	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
51	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
52	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
53	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
55	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
56	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
57	C₁₃×#401	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×#400	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#400	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#399	C₂²	1	1	yes	characteristic
65	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
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, complemented
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×#396	C₂²	1	1	yes	characteristic
77	C₁₃×#396	C₂²	1	1	yes	characteristic
78	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#394	C₂²	1	1	yes	characteristic
80	C₁₃×#394	C₂²	1	1	yes	characteristic
81	C₁₃×#394	C₂²	1	1	yes	characteristic
82	C₁₃×#394	C₂²	1	1	yes	characteristic
83	C₁₃×#394	C₂²	1	1	yes	characteristic
84	C₁₃×#394	C₂²	1	1	yes	characteristic
85	C₁₃×#394	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#393	C₂²	1	1	yes	characteristic
87	C₁₃×#393	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#392	C₂²	1	1	yes	characteristic
89	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#390	C₂²	1	1	yes	characteristic
92	C₁₃×#390	C₂²	1	1	yes	characteristic
93	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#388	C₂²	1	1	yes	characteristic
98	C₁₃×#388	C₂²	1	1	yes	characteristic
99	C₁₃×#388	C₂²	1	1	yes	characteristic
100	C₁₃×#388	C₂²	1	1	yes	characteristic
101	C₁₃×#388	C₂²	1	1	yes	characteristic
102	C₁₃×#388	C₂²	1	1	yes	characteristic
103	C₁₃×#388	C₂²	1	1	yes	characteristic
104	C₁₃×#388	C₂²	1	1	yes	characteristic
105	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
106	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
107	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
112	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
113	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
114	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
115	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
116	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
117	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
118	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
119	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
120	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
121	C₁₃×#386	C₂²	1	1	yes	characteristic
122	C₁₃×#386	C₂²	1	1	yes	characteristic
123	C₁₃×#386	C₂²	1	1	yes	characteristic
124	C₁₃×#386	C₂²	1	1	yes	characteristic
125	C₁₃×#386	C₂²	1	1	yes	characteristic
126	C₁₃×#386	C₂²	1	1	yes	characteristic
127	C₁₃×#386	C₂²	1	1	yes	characteristic
128	C₁₃×#386	C₂²	1	1	yes	characteristic
129	C₁₃×#386	C₂²	1	1	yes	characteristic
130	C₁₃×#386	C₂²	1	1	yes	characteristic
131	C₁₃×#386	C₂²	1	1	yes	characteristic
132	C₁₃×#386	C₂²	1	1	yes	characteristic
133	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#385	C₂²	1	1	yes	characteristic
135	C₁₃×#385	C₂²	1	1	yes	characteristic
136	C₁₃×#385	C₂²	1	1	yes	characteristic
137	C₁₃×#385	C₂²	1	1	yes	characteristic
138	C₁₃×#385	C₂²	1	1	yes	characteristic
139	C₁₃×#385	C₂²	1	1	yes	characteristic
140	C₁₃×#385	C₂²	1	1	yes	characteristic
141	C₁₃×#385	C₂²	1	1	yes	characteristic
142	C₁₃×#385	C₂²	1	1	yes	characteristic
143	C₁₃×#385	C₂²	1	1	yes	characteristic
144	C₁₃×#385	C₂²	1	1	yes	characteristic, complemented
145	C₁₃×#383	C₂²	1	1	yes	characteristic, complemented
146	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
147	C₁₃×#381	C₂²	1	1	yes	characteristic, complemented
148	C₁₃×#380	C₂²	1	1	yes	characteristic
149	C₁₃×#380	C₂²	1	1	yes	characteristic
150	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
151	C₁₃×#379	C₂²	1	1	yes	characteristic
152	C₁₃×#379	C₂²	1	1	yes	characteristic
153	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
156	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
164	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
165	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
166	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
167	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
168	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
169	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
170	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
173	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
174	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
175	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
176	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
177	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
182	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
183	C₁₃×#376	C₂²	1	1	yes	characteristic, complemented
184	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
185	C₂×C₁₃×#95	C₂²	1	1	yes	characteristic
186	C₄³×C₁₃	C₂²	1	1	yes	characteristic, complemented
187	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
188	C₂²×Q₈×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	C₂³×C₄×C₁₃	—	2	4	no	—
197	C₂³×C₄×C₁₃	—	4	2	no	—
198	C₂³×C₄×C₁₃	—	4	2	no	—
199	C₂³×C₄×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	C₁₃×#126	—	2	4	no	—
214	C₁₃×#124	—	2	4	no	—
215	C₁₃×#123	—	2	4	no	—
216	C₁₃×C₂²⋊Q₈	—	2	4	no	—
217	C₁₃×#121	—	2	4	no	—
218	C₁₃×#121	—	2	4	no	—
219	C₁₃×#120	—	2	4	no	—
220	C₁₃×#120	—	2	4	no	—
221	C₄×Q₈×C₁₃	—	4	2	no	—
222	C₄×D₄×C₁₃	—	2	4	no	—
223	C₄×D₄×C₁₃	—	2	4	no	—
224	C₄×D₄×C₁₃	—	2	4	no	—
225	C₄×D₄×C₁₃	—	2	4	no	—
226	C₄×D₄×C₁₃	—	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×C₂²⋊C₄	—	2	4	no	—
257	C₂×C₁₃×C₂²⋊C₄	—	2	4	no	—
258	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₂²⋊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×C₄²×C₁₃	—	4	2	no	—
303	C₂×C₄²×C₁₃	—	4	2	no	—
304	C₂×C₄²×C₁₃	—	4	2	no	—
305	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₁₃	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	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
321	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
322	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
324	C₂×C₄²×C₁₃	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	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	#34959	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
370	C₂⁴×C₁₃	—	2	2	no	—
371	C₂⁴×C₁₃	—	2	2	no	—
372	C₂⁴×C₁₃	—	2	2	no	—
373	C₂⁴×C₁₃	—	2	2	no	—
374	C₂⁴×C₁₃	—	2	2	no	—
375	C₂⁴×C₁₃	—	4	1	no	—
376	C₂⁴×C₁₃	—	4	1	no	—
377	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×Q₈×C₁₃	—	2	2	no	—
383	C₂×Q₈×C₁₃	—	2	2	no	—
384	C₂×Q₈×C₁₃	—	4	1	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	—	2	2	no	—
390	C₂×D₄×C₁₃	—	2	2	no	—
391	C₂×D₄×C₁₃	—	2	2	no	—
392	C₂×D₄×C₁₃	—	2	2	no	—
393	C₂×D₄×C₁₃	—	2	2	no	—
394	C₂×D₄×C₁₃	—	2	2	no	—
395	C₂×D₄×C₁₃	—	2	2	no	—
396	C₂×D₄×C₁₃	—	2	2	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	—	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	#41	1	4	yes	—
406	C₂²×C₄×C₁₃	—	2	2	no	—
407	C₂²×C₄×C₁₃	—	2	2	no	—
408	C₂²×C₄×C₁₃	—	2	2	no	—
409	C₂²×C₄×C₁₃	—	2	2	no	—
410	C₂²×C₄×C₁₃	—	2	2	no	—
411	C₂²×C₄×C₁₃	—	2	2	no	—
412	C₂²×C₄×C₁₃	—	2	2	no	—
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	—	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	—	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	1	no	—
447	C₂²×C₄×C₁₃	—	4	16	no	—
448	C₂²×C₄×C₁₃	#41	1	4	yes	—
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	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	C₁₃×C₄⋊C₄	—	2	2	no	—
476	C₁₃×C₄⋊C₄	—	2	2	no	—
477	C₁₃×C₄⋊C₄	—	2	2	no	—
478	C₁₃×C₄⋊C₄	—	2	2	no	—
479	C₁₃×C₄⋊C₄	—	2	2	no	—
480	C₁₃×C₄⋊C₄	—	2	2	no	—
481	C₁₃×C₄⋊C₄	—	2	2	no	—
482	C₁₃×C₄⋊C₄	—	2	2	no	—
483	C₁₃×C₄⋊C₄	—	2	2	no	—
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	—	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×C₂²⋊C₄	—	2	2	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	—	2	2	no	—
516	C₁₃×C₂²⋊C₄	—	2	2	no	—
517	C₁₃×C₂²⋊C₄	—	2	2	no	—
518	C₁₃×C₂²⋊C₄	—	2	2	no	—
519	C₁₃×C₂²⋊C₄	—	2	2	no	—
520	C₁₃×C₂²⋊C₄	—	2	2	no	—
521	C₁₃×C₂²⋊C₄	—	2	2	no	—
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	—	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	#41	1	4	yes	—
541	C₁₃×C₂²⋊C₄	#41	1	4	yes	—
542	C₁₃×C₂²⋊C₄	#41	1	4	yes	—
543	C₄²×C₁₃	—	2	2	no	—
544	C₄²×C₁₃	—	2	2	no	—
545	C₄²×C₁₃	—	2	2	no	—
546	C₄²×C₁₃	—	2	2	no	—
547	C₄²×C₁₃	—	2	2	no	—
548	C₄²×C₁₃	—	2	2	no	—
549	C₄²×C₁₃	—	2	2	no	—
550	C₄²×C₁₃	—	2	2	no	—
551	C₄²×C₁₃	—	2	2	no	—
552	C₄²×C₁₃	—	2	2	no	—
553	C₄²×C₁₃	—	2	2	no	—
554	C₄²×C₁₃	—	2	2	no	—
555	C₄²×C₁₃	—	2	2	no	—
556	C₄²×C₁₃	—	2	2	no	—
557	C₄²×C₁₃	—	4	1	no	—
558	C₄²×C₁₃	—	4	1	no	—
559	C₄²×C₁₃	—	4	1	no	—
560	C₄²×C₁₃	—	4	1	no	—
561	C₄²×C₁₃	—	4	1	no	—
562	C₄²×C₁₃	—	4	1	no	—
563	#2597	C₂×C₁₃	1	1	yes	characteristic, complemented
564	#2595	C₂×C₁₃	1	1	yes	characteristic, complemented
565	#2589	C₂×C₁₃	1	1	yes	characteristic, complemented
566	#2587	C₂×C₁₃	1	1	yes	characteristic, complemented
567	#2578	C₂×C₁₃	1	1	yes	characteristic, complemented
568	#2576	C₂×C₁₃	1	1	yes	characteristic, complemented
569	#2559	C₂×C₁₃	1	1	yes	characteristic, complemented
570	#2557	C₂×C₁₃	1	1	yes	characteristic, complemented
571	#2510	C₂×C₁₃	1	1	yes	characteristic, complemented
572	#2505	C₂×C₁₃	1	1	yes	characteristic, complemented
573	#2480	C₂×C₁₃	1	1	yes	characteristic, complemented
574	#2472	C₂×C₁₃	1	1	yes	characteristic, complemented
575	#2450	C₂×C₁₃	1	1	yes	characteristic, complemented
576	#2444	C₂×C₁₃	1	1	yes	characteristic, complemented
577	#2424	C₂×C₁₃	1	1	yes	characteristic
578	#2418	C₂×C₁₃	1	1	yes	characteristic, complemented
579	#2401	C₂×C₁₃	1	1	yes	characteristic, complemented
580	#2398	C₂×C₁₃	1	1	yes	characteristic, complemented
581	#2395	C₂×C₁₃	1	1	yes	characteristic, complemented
582	#2392	C₂×C₁₃	1	1	yes	characteristic, complemented
583	C₄×#126	C₂×C₁₃	1	1	yes	characteristic, complemented
584	C₄×#124	C₂×C₁₃	1	1	yes	characteristic, complemented
585	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
586	C₄×#123	C₂×C₁₃	1	1	yes	characteristic, complemented
587	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
588	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
589	C₄×#120	C₂×C₁₃	1	1	yes	characteristic, complemented
590	C₄×#120	C₂×C₁₃	1	1	yes	characteristic, complemented
591	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
592	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
593	C₂×C₄×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
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	8	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	—	4	4	no	—
625	C₂³×C₁₃	—	4	4	no	—
626	C₂³×C₁₃	—	4	4	no	—
627	C₂³×C₁₃	—	4	4	no	—
628	C₂³×C₁₃	—	4	4	no	—
629	C₂³×C₁₃	—	4	4	no	—
630	C₂³×C₁₃	C₂×#41	1	2	yes	—
631	C₂³×C₁₃	C₂×#41	1	2	yes	—
632	C₂³×C₁₃	C₂×#41	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	—	4	4	no	—
638	D₄×C₁₃	—	2	8	no	—
639	D₄×C₁₃	—	4	4	no	—
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	—	4	4	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	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	8	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	—	4	4	no	—
714	C₂×C₄×C₁₃	—	4	4	no	—
715	C₂×C₄×C₁₃	—	4	4	no	—
716	C₂×C₄×C₁₃	—	4	4	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	—	4	4	no	—
726	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
727	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
728	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
729	C₂×C₄×C₁₃	C₂×#41	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	H(5,𝔽₂)	1	2	yes	—
736	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
737	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
738	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
739	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
740	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
741	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
742	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
743	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
744	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
745	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
746	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
747	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
748	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
749	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
750	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
751	C₂×C₄×D₄	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	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
758	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
759	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
760	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
761	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
762	#401	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	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
767	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
768	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
769	#399	C₂²×C₁₃	1	1	yes	characteristic
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, complemented
778	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
779	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
780	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
781	#396	C₂²×C₁₃	1	1	yes	characteristic
782	#396	C₂²×C₁₃	1	1	yes	characteristic
783	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
784	#394	C₂²×C₁₃	1	1	yes	characteristic
785	#394	C₂²×C₁₃	1	1	yes	characteristic
786	#394	C₂²×C₁₃	1	1	yes	characteristic
787	#394	C₂²×C₁₃	1	1	yes	characteristic
788	#394	C₂²×C₁₃	1	1	yes	characteristic
789	#394	C₂²×C₁₃	1	1	yes	characteristic
790	#394	C₂²×C₁₃	1	1	yes	characteristic, complemented
791	#393	C₂²×C₁₃	1	1	yes	characteristic
792	#393	C₂²×C₁₃	1	1	yes	characteristic, complemented
793	#392	C₂²×C₁₃	1	1	yes	characteristic
794	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
795	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
796	#390	C₂²×C₁₃	1	1	yes	characteristic
797	#390	C₂²×C₁₃	1	1	yes	characteristic
798	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
799	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
800	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
801	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
802	#388	C₂²×C₁₃	1	1	yes	characteristic
803	#388	C₂²×C₁₃	1	1	yes	characteristic
804	#388	C₂²×C₁₃	1	1	yes	characteristic
805	#388	C₂²×C₁₃	1	1	yes	characteristic
806	#388	C₂²×C₁₃	1	1	yes	characteristic
807	#388	C₂²×C₁₃	1	1	yes	characteristic
808	#388	C₂²×C₁₃	1	1	yes	characteristic
809	#388	C₂²×C₁₃	1	1	yes	characteristic
810	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
811	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
812	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
813	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
814	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
815	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
816	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
817	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
818	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
819	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
820	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
821	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
822	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
823	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
824	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
825	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
826	#386	C₂²×C₁₃	1	1	yes	characteristic
827	#386	C₂²×C₁₃	1	1	yes	characteristic
828	#386	C₂²×C₁₃	1	1	yes	characteristic
829	#386	C₂²×C₁₃	1	1	yes	characteristic
830	#386	C₂²×C₁₃	1	1	yes	characteristic
831	#386	C₂²×C₁₃	1	1	yes	characteristic
832	#386	C₂²×C₁₃	1	1	yes	characteristic
833	#386	C₂²×C₁₃	1	1	yes	characteristic
834	#386	C₂²×C₁₃	1	1	yes	characteristic
835	#386	C₂²×C₁₃	1	1	yes	characteristic
836	#386	C₂²×C₁₃	1	1	yes	characteristic
837	#386	C₂²×C₁₃	1	1	yes	characteristic
838	#386	C₂²×C₁₃	1	1	yes	characteristic, complemented
839	#385	C₂²×C₁₃	1	1	yes	characteristic
840	#385	C₂²×C₁₃	1	1	yes	characteristic
841	#385	C₂²×C₁₃	1	1	yes	characteristic
842	#385	C₂²×C₁₃	1	1	yes	characteristic
843	#385	C₂²×C₁₃	1	1	yes	characteristic
844	#385	C₂²×C₁₃	1	1	yes	characteristic
845	#385	C₂²×C₁₃	1	1	yes	characteristic
846	#385	C₂²×C₁₃	1	1	yes	characteristic
847	#385	C₂²×C₁₃	1	1	yes	characteristic
848	#385	C₂²×C₁₃	1	1	yes	characteristic
849	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
850	#383	C₂²×C₁₃	1	1	yes	characteristic, complemented
851	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
852	#381	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	#380	C₂²×C₁₃	1	1	yes	characteristic
854	#380	C₂²×C₁₃	1	1	yes	characteristic
855	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#379	C₂²×C₁₃	1	1	yes	characteristic
857	#379	C₂²×C₁₃	1	1	yes	characteristic
858	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
859	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
860	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
861	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
862	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
863	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
864	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
865	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
866	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
867	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
868	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
869	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
870	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
871	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
872	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
873	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
874	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
875	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
876	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
877	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
878	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
879	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
880	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
881	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
882	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
883	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
884	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
885	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
886	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
887	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
888	#376	C₂²×C₁₃	1	1	yes	characteristic, complemented
889	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
890	C₂×#95	C₂²×C₁₃	1	1	yes	characteristic
891	C₄³	C₂²×C₁₃	1	1	yes	characteristic, complemented
892	C₂²×C₁₃	—	2	2	no	—
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	—	2	2	no	—
906	C₂²×C₁₃	—	2	2	no	—
907	C₂²×C₁₃	—	4	16	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	#529	1	4	yes	—
928	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
929	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
930	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
931	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
932	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
933	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
934	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
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	—	4	1	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	—	4	1	no	—
959	C₄×C₁₃	—	4	1	no	—
960	C₄×C₁₃	#538	1	4	yes	—
961	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
962	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
963	C₂²×D₄	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	—	2	4	no	—
971	C₂³×C₄	—	4	2	no	—
972	C₂³×C₄	—	4	2	no	—
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	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	#126	—	2	4	no	—
988	#124	—	2	4	no	—
989	#123	—	2	4	no	—
990	C₂²⋊Q₈	—	2	4	no	—
991	#121	—	2	4	no	—
992	#121	—	2	4	no	—
993	#120	—	2	4	no	—
994	#120	—	2	4	no	—
995	C₄×Q₈	—	4	2	no	—
996	C₄×D₄	—	2	4	no	—
997	C₄×D₄	—	2	4	no	—
998	C₄×D₄	—	2	4	no	—
999	C₄×D₄	—	2	4	no	—
1000	C₄×D₄	—	4	2	no	—
1001	C₄×D₄	—	4	2	no	—
1002	C₄×D₄	—	4	2	no	—
1003	C₄×D₄	—	4	2	no	—
1004	C₄×D₄	—	4	2	no	—
1005	#117	—	4	2	no	—
1006	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1010	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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×C₂²⋊C₄	—	2	4	no	—
1031	C₂×C₂²⋊C₄	—	2	4	no	—
1032	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1037	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂×C₂²⋊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×C₄²	—	4	2	no	—
1077	C₂×C₄²	—	4	2	no	—
1078	C₂×C₄²	—	4	2	no	—
1079	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1080	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1081	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1082	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1083	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1084	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1085	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1086	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1087	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1088	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1089	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1090	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1091	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1092	C₂×C₄²	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	#95	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	C₂×C₁₃	—	2	4	no	—
1144	C₂×C₁₃	—	4	2	no	—
1145	C₂×C₁₃	—	4	2	no	—
1146	C₂×C₁₃	—	4	2	no	—
1147	C₂×C₁₃	—	8	1	no	—
1148	C₂×C₁₃	C₂×#529	1	1	yes	characteristic
1149	C₂×C₁₃	#3444	1	1	yes	characteristic
1150	C₂×C₁₃	C₂×#538	1	1	yes	characteristic
1151	C₂×C₁₃	#3481	1	1	yes	characteristic
1152	C₂×C₁₃	#3481	1	1	yes	characteristic
1153	C₂×C₁₃	#3481	1	1	yes	characteristic
1154	C₂×C₁₃	#3481	1	1	yes	characteristic
1155	C₂⁴	—	2	2	no	—
1156	C₂⁴	—	2	2	no	—
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	C₂⁴×C₁₃	1	1	yes	characteristic
1163	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
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	C₂×Q₈	—	2	2	no	—
1168	C₂×Q₈	—	2	2	no	—
1169	C₂×Q₈	—	4	1	no	—
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	—	2	2	no	—
1183	C₂×D₄	—	2	2	no	—
1184	C₂×D₄	—	2	2	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	C₁₃×#41	1	4	yes	—
1191	C₂²×C₄	—	2	2	no	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	no	—
1194	C₂²×C₄	—	2	2	no	—
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	—	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	16	no	—
1233	C₂²×C₄	C₁₃×#41	1	4	yes	—
1234	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1235	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1236	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
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	C₄⋊C₄	—	2	2	no	—
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	2	2	no	—
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	—	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	C₂²⋊C₄	—	2	2	no	—
1285	C₂²⋊C₄	—	2	2	no	—
1286	C₂²⋊C₄	—	2	2	no	—
1287	C₂²⋊C₄	—	2	2	no	—
1288	C₂²⋊C₄	—	2	2	no	—
1289	C₂²⋊C₄	—	2	2	no	—
1290	C₂²⋊C₄	—	2	2	no	—
1291	C₂²⋊C₄	—	2	2	no	—
1292	C₂²⋊C₄	—	2	2	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	—	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	—	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	C₁₃×#41	1	4	yes	—
1326	C₂²⋊C₄	C₁₃×#41	1	4	yes	—
1327	C₂²⋊C₄	C₁₃×#41	1	4	yes	—
1328	C₄²	—	2	2	no	—
1329	C₄²	—	2	2	no	—
1330	C₄²	—	2	2	no	—
1331	C₄²	—	2	2	no	—
1332	C₄²	—	2	2	no	—
1333	C₄²	—	2	2	no	—
1334	C₄²	—	2	2	no	—
1335	C₄²	—	2	2	no	—
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	—	4	1	no	—
1343	C₄²	—	4	1	no	—
1344	C₄²	—	4	1	no	—
1345	C₄²	—	4	1	no	—
1346	C₄²	—	4	1	no	—
1347	C₄²	—	4	1	no	—
1348	C₁₃	#34959	1	1	yes	characteristic, direct product factor, Sylow
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	8	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	—	4	4	no	—
1380	C₂³	—	4	4	no	—
1381	C₂³	—	4	4	no	—
1382	C₂³	—	4	4	no	—
1383	C₂³	—	4	4	no	—
1384	C₂³	—	4	4	no	—
1385	C₂³	C₂×C₁₃×#41	1	2	yes	—
1386	C₂³	C₂×C₁₃×#41	1	2	yes	—
1387	C₂³	C₂×C₁₃×#41	1	2	yes	—
1388	C₂³	C₂×C₁₃×#41	1	2	yes	—
1389	C₂³	C₂×C₁₃×#41	1	2	yes	—
1390	C₂³	C₂×C₁₃×#41	1	2	yes	—
1391	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1392	Q₈	—	4	4	no	—
1393	D₄	—	2	8	no	—
1394	D₄	—	4	4	no	—
1395	D₄	—	4	4	no	—
1396	D₄	—	4	4	no	—
1397	D₄	—	4	4	no	—
1398	D₄	—	4	4	no	—
1399	D₄	—	4	4	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	8	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	—	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	—	4	4	no	—
1476	C₂×C₄	—	4	4	no	—
1477	C₂×C₄	—	4	4	no	—
1478	C₂×C₄	—	4	4	no	—
1479	C₂×C₄	—	4	4	no	—
1480	C₂×C₄	—	4	4	no	—
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	C₂×C₁₃×#41	1	2	yes	—
1490	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1491	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
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	—	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	—	4	16	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	—	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	C₁₃×#529	1	4	yes	—
1528	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1529	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1530	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1531	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1532	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1533	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1534	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	2	2	no	—
1538	C₄	—	2	2	no	—
1539	C₄	—	2	2	no	—
1540	C₄	—	2	2	no	—
1541	C₄	—	2	2	no	—
1542	C₄	—	2	2	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	—	4	1	no	—
1552	C₄	—	4	1	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	C₁₃×#538	1	4	yes	—
1561	C₂	—	2	4	no	—
1562	C₂	—	4	2	no	—
1563	C₂	—	4	2	no	—
1564	C₂	—	4	2	no	—
1565	C₂	—	8	1	no	—
1566	C₂	C₂×C₁₃×#529	1	1	yes	characteristic
1567	C₂	C₁₃×#3444	1	1	yes	characteristic
1568	C₂	C₂×C₁₃×#538	1	1	yes	characteristic
1569	C₂	C₁₃×#3481	1	1	yes	characteristic
1570	C₂	C₁₃×#3481	1	1	yes	characteristic
1571	C₂	C₁₃×#3481	1	1	yes	characteristic
1572	C₂	C₁₃×#3481	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×#2424	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. C₁₃×#2597	C₂	semidirect
2. C₁₃×#2595	C₂	semidirect
3. C₁₃×#2589	C₂	semidirect
4. C₁₃×#2587	C₂	semidirect
5. C₁₃×#2578	C₂	semidirect
6. C₁₃×#2576	C₂	semidirect
7. C₁₃×#2559	C₂	semidirect
8. C₁₃×#2557	C₂	semidirect
9. C₁₃×#2510	C₂	semidirect
10. C₁₃×#2505	C₂	semidirect
11. C₁₃×#2480	C₂	semidirect
12. C₁₃×#2472	C₂	semidirect
13. C₁₃×#2450	C₂	semidirect
14. C₁₃×#2444	C₂	semidirect
16. C₁₃×#2418	C₂	semidirect
17. C₁₃×#2401	C₂	semidirect
18. C₁₃×#2398	C₂	semidirect
19. C₁₃×#2395	C₂	semidirect
20. C₁₃×#2392	C₂	semidirect
21. C₄×C₁₃×#126	C₂	semidirect
22. C₄×C₁₃×#124	C₂	semidirect
23. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
24. C₄×C₁₃×#123	C₂	semidirect
25. C₄×C₁₃×#121	C₂	semidirect
26. C₄×C₁₃×#121	C₂	semidirect
27. C₄×C₁₃×#120	C₂	semidirect
28. C₄×C₁₃×#120	C₂	semidirect
29. C₁₃×#2290	C₂	semidirect
30. C₄²×D₄×C₁₃	C₂	semidirect
31. C₂×C₄×C₁₃×C₂²⋊C₄	C₂	semidirect
41. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
50. C₂×C₄×D₄×C₁₃	C₂²	semidirect
51. C₂×C₁₃×#117	C₂²	semidirect
56. C₂²×C₄²×C₁₃	C₂²	semidirect
57. C₁₃×#401	C₂²	semidirect
58. C₁₃×#400	C₂²	semidirect
59. C₁₃×#400	C₂²	semidirect
60. C₁₃×#400	C₂²	semidirect
61. C₁₃×#400	C₂²	semidirect
62. C₁₃×#400	C₂²	semidirect
63. C₁₃×#400	C₂²	semidirect
65. C₁₃×#398	C₂²	semidirect
66. C₁₃×#398	C₂²	semidirect
72. C₁₃×#397	C₂²	semidirect
73. C₁₃×#397	C₂²	semidirect
74. C₁₃×#397	C₂²	semidirect
75. C₁₃×#397	C₂²	semidirect
78. C₁₃×#396	C₂²	semidirect
85. C₁₃×#394	C₂²	semidirect
87. C₁₃×#393	C₂²	semidirect
89. C₁₃×#391	C₂²	semidirect
90. C₁₃×#391	C₂²	semidirect
93. C₁₃×#390	C₂²	semidirect
94. C₁₃×#389	C₂²	semidirect
95. C₁₃×#389	C₂²	semidirect
96. C₁₃×#389	C₂²	semidirect
105. C₁₃×#388	C₂²	semidirect
106. C₁₃×#388	C₂²	semidirect
107. C₁₃×#388	C₂²	semidirect
108. C₁₃×#388	C₂²	semidirect
109. C₁₃×#388	C₂²	semidirect
110. C₁₃×#388	C₂²	semidirect
111. C₁₃×#388	C₂²	semidirect
112. C₁₃×#387	C₂²	semidirect
113. C₁₃×#387	C₂²	semidirect
114. C₁₃×#387	C₂²	semidirect
115. C₁₃×#387	C₂²	semidirect
116. C₁₃×#387	C₂²	semidirect
117. C₁₃×#387	C₂²	semidirect
118. C₁₃×#387	C₂²	semidirect
119. C₁₃×#387	C₂²	semidirect
120. C₁₃×#387	C₂²	semidirect
133. C₁₃×#386	C₂²	semidirect
144. C₁₃×#385	C₂²	semidirect
145. C₁₃×#383	C₂²	semidirect
146. C₁₃×#382	C₂²	semidirect
147. C₁₃×#381	C₂²	semidirect
150. C₁₃×#380	C₂²	semidirect
153. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
154. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
155. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
156. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
157. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
158. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
159. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
160. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
177. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
178. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
179. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
180. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
181. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
182. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
183. C₁₃×#376	C₂²	semidirect
186. C₄³×C₁₃	C₂²	semidirect
369. #34959	C₁₃	direct (N × H)
563. #2597	C₂×C₁₃	semidirect
564. #2595	C₂×C₁₃	semidirect
565. #2589	C₂×C₁₃	semidirect
566. #2587	C₂×C₁₃	semidirect
567. #2578	C₂×C₁₃	semidirect
568. #2576	C₂×C₁₃	semidirect
569. #2559	C₂×C₁₃	semidirect
570. #2557	C₂×C₁₃	semidirect
571. #2510	C₂×C₁₃	semidirect
572. #2505	C₂×C₁₃	semidirect
573. #2480	C₂×C₁₃	semidirect
574. #2472	C₂×C₁₃	semidirect
575. #2450	C₂×C₁₃	semidirect
576. #2444	C₂×C₁₃	semidirect
578. #2418	C₂×C₁₃	semidirect
579. #2401	C₂×C₁₃	semidirect
580. #2398	C₂×C₁₃	semidirect
581. #2395	C₂×C₁₃	semidirect
582. #2392	C₂×C₁₃	semidirect
583. C₄×#126	C₂×C₁₃	semidirect
584. C₄×#124	C₂×C₁₃	semidirect
585. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
586. C₄×#123	C₂×C₁₃	semidirect
587. C₄×#121	C₂×C₁₃	semidirect
588. C₄×#121	C₂×C₁₃	semidirect
589. C₄×#120	C₂×C₁₃	semidirect
590. C₄×#120	C₂×C₁₃	semidirect
591. #2290	C₂×C₁₃	semidirect
592. C₄²×D₄	C₂×C₁₃	semidirect
593. C₂×C₄×C₂²⋊C₄	C₂×C₁₃	semidirect
746. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
755. C₂×C₄×D₄	C₂²×C₁₃	semidirect
756. C₂×#117	C₂²×C₁₃	semidirect
761. C₂²×C₄²	C₂²×C₁₃	semidirect
762. #401	C₂²×C₁₃	semidirect
763. #400	C₂²×C₁₃	semidirect
764. #400	C₂²×C₁₃	semidirect
765. #400	C₂²×C₁₃	semidirect
766. #400	C₂²×C₁₃	semidirect
767. #400	C₂²×C₁₃	semidirect
768. #400	C₂²×C₁₃	semidirect
770. #398	C₂²×C₁₃	semidirect
771. #398	C₂²×C₁₃	semidirect
777. #397	C₂²×C₁₃	semidirect
778. #397	C₂²×C₁₃	semidirect
779. #397	C₂²×C₁₃	semidirect
780. #397	C₂²×C₁₃	semidirect
783. #396	C₂²×C₁₃	semidirect
790. #394	C₂²×C₁₃	semidirect
792. #393	C₂²×C₁₃	semidirect
794. #391	C₂²×C₁₃	semidirect
795. #391	C₂²×C₁₃	semidirect
798. #390	C₂²×C₁₃	semidirect
799. #389	C₂²×C₁₃	semidirect
800. #389	C₂²×C₁₃	semidirect
801. #389	C₂²×C₁₃	semidirect
810. #388	C₂²×C₁₃	semidirect
811. #388	C₂²×C₁₃	semidirect
812. #388	C₂²×C₁₃	semidirect
813. #388	C₂²×C₁₃	semidirect
814. #388	C₂²×C₁₃	semidirect
815. #388	C₂²×C₁₃	semidirect
816. #388	C₂²×C₁₃	semidirect
817. #387	C₂²×C₁₃	semidirect
818. #387	C₂²×C₁₃	semidirect
819. #387	C₂²×C₁₃	semidirect
820. #387	C₂²×C₁₃	semidirect
821. #387	C₂²×C₁₃	semidirect
822. #387	C₂²×C₁₃	semidirect
823. #387	C₂²×C₁₃	semidirect
824. #387	C₂²×C₁₃	semidirect
825. #387	C₂²×C₁₃	semidirect
838. #386	C₂²×C₁₃	semidirect
849. #385	C₂²×C₁₃	semidirect
850. #383	C₂²×C₁₃	semidirect
851. #382	C₂²×C₁₃	semidirect
852. #381	C₂²×C₁₃	semidirect
855. #380	C₂²×C₁₃	semidirect
858. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
859. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
860. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
861. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
862. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
863. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
864. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
865. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
882. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
883. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
884. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
885. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
886. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
887. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
888. #376	C₂²×C₁₃	semidirect
891. C₄³	C₂²×C₁₃	semidirect
1348. C₁₃	#34959	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×#2597	2
C₁₃×#2595	2
C₁₃×#2589	2
C₁₃×#2587	2
C₁₃×#2578	2
C₁₃×#2576	2
C₁₃×#2559	2
C₁₃×#2557	2
C₁₃×#2510	2
C₁₃×#2505	2
C₁₃×#2480	2
C₁₃×#2472	2
C₁₃×#2450	2
C₁₃×#2444	2
C₁₃×#2424	2
C₁₃×#2418	2
C₁₃×#2401	2
C₁₃×#2398	2
C₁₃×#2395	2
C₁₃×#2392	2
C₄×C₁₃×#126	2
C₄×C₁₃×#124	2
C₄×C₁₃×C₂²⋊Q₈	2
C₄×C₁₃×#123	2
C₄×C₁₃×#121	2
C₄×C₁₃×#120	2
C₁₃×#2290	2
C₄²×D₄×C₁₃	2
C₂×C₄×C₁₃×C₂²⋊C₄	2
#34959	13

Subgroups — C13×#34959 #15721298

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34959 #15721298