Subgroups — C₁₃×#36858 #15723197

Order 3328.

1918 conjugacy classes of subgroups.

The subgroup lattice has 1538 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×#2848	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₃×#2797	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2781	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2780	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₃×#2763	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2757	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2738	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₃×#2735	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₃×#2729	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2715	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2706	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₃×#2700	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₃×#2696	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2685	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2684	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₃×#2674	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2670	C₂	1	1	yes	maximal, characteristic
19	C₁₃×#2638	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₃×#2636	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₃×#2575	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₃×#2574	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#2560	C₂	1	1	yes	maximal, characteristic, complemented
24	C₁₃×#2553	C₂	1	1	yes	maximal, characteristic, complemented
25	C₁₃×#2461	C₂	1	1	yes	maximal, characteristic, complemented
26	C₁₃×#2457	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₃×#2452	C₂	1	1	yes	maximal, characteristic, complemented
28	C₁₃×#2447	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₃×#2337	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₃×#2334	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×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
34	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×#120	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
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×#399	C₂²	1	1	yes	characteristic
56	C₁₃×#399	C₂²	1	1	yes	characteristic
57	C₁₃×#399	C₂²	1	1	yes	characteristic, complemented
58	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
59	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
60	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
61	C₁₃×#398	C₂²	1	1	yes	characteristic, complemented
62	C₁₃×#397	C₂²	1	1	yes	characteristic
63	C₁₃×#397	C₂²	1	1	yes	characteristic
64	C₁₃×#397	C₂²	1	1	yes	characteristic
65	C₁₃×#397	C₂²	1	1	yes	characteristic
66	C₁₃×#397	C₂²	1	1	yes	characteristic
67	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
70	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#397	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#396	C₂²	1	1	yes	characteristic
73	C₁₃×#396	C₂²	1	1	yes	characteristic
74	C₁₃×#396	C₂²	1	1	yes	characteristic
75	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
76	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
77	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
78	C₁₃×#396	C₂²	1	1	yes	characteristic, complemented
79	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#395	C₂²	1	1	yes	characteristic, complemented
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
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, complemented
91	C₁₃×#393	C₂²	1	1	yes	characteristic
92	C₁₃×#393	C₂²	1	1	yes	characteristic
93	C₁₃×#393	C₂²	1	1	yes	characteristic
94	C₁₃×#393	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#393	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#392	C₂²	1	1	yes	characteristic
97	C₁₃×#392	C₂²	1	1	yes	characteristic
98	C₁₃×#392	C₂²	1	1	yes	characteristic
99	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
100	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
101	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
102	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
103	C₁₃×#390	C₂²	1	1	yes	characteristic
104	C₁₃×#390	C₂²	1	1	yes	characteristic
105	C₁₃×#390	C₂²	1	1	yes	characteristic
106	C₁₃×#390	C₂²	1	1	yes	characteristic
107	C₁₃×#390	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
109	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
110	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
111	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
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
118	C₁₃×#388	C₂²	1	1	yes	characteristic
119	C₁₃×#388	C₂²	1	1	yes	characteristic
120	C₁₃×#388	C₂²	1	1	yes	characteristic
121	C₁₃×#388	C₂²	1	1	yes	characteristic
122	C₁₃×#388	C₂²	1	1	yes	characteristic
123	C₁₃×#388	C₂²	1	1	yes	characteristic
124	C₁₃×#388	C₂²	1	1	yes	characteristic
125	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
126	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
127	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
128	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
129	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
130	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
131	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
132	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
133	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
134	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
135	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
136	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
137	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
138	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
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
149	C₁₃×#386	C₂²	1	1	yes	characteristic, complemented
150	C₁₃×#385	C₂²	1	1	yes	characteristic
151	C₁₃×#385	C₂²	1	1	yes	characteristic
152	C₁₃×#385	C₂²	1	1	yes	characteristic
153	C₁₃×#385	C₂²	1	1	yes	characteristic
154	C₁₃×#385	C₂²	1	1	yes	characteristic
155	C₁₃×#385	C₂²	1	1	yes	characteristic
156	C₁₃×#385	C₂²	1	1	yes	characteristic
157	C₁₃×#385	C₂²	1	1	yes	characteristic
158	C₁₃×#385	C₂²	1	1	yes	characteristic
159	C₁₃×#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×#383	C₂²	1	1	yes	characteristic, complemented
166	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
167	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
168	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
169	C₁₃×#381	C₂²	1	1	yes	characteristic
170	C₁₃×#381	C₂²	1	1	yes	characteristic
171	C₁₃×#381	C₂²	1	1	yes	characteristic, complemented
172	C₁₃×#380	C₂²	1	1	yes	characteristic
173	C₁₃×#380	C₂²	1	1	yes	characteristic
174	C₁₃×#380	C₂²	1	1	yes	characteristic
175	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
176	C₁₃×#379	C₂²	1	1	yes	characteristic
177	C₁₃×#379	C₂²	1	1	yes	characteristic
178	C₁₃×#379	C₂²	1	1	yes	characteristic
179	C₁₃×#379	C₂²	1	1	yes	characteristic
180	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
181	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
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	C₄×C₁₃×C₂²⋊C₄	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×Q₈×C₁₃	C₂³	1	1	yes	characteristic
190	C₂²×Q₈×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	C₂³×C₄×C₁₃	—	4	2	no	—
199	C₂³×C₄×C₁₃	—	4	2	no	—
200	C₂³×C₄×C₁₃	—	4	2	no	—
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	C₁₃×C₄⋊Q₈	—	4	2	no	—
210	C₁₃×#126	—	2	4	no	—
211	C₁₃×#126	—	4	2	no	—
212	C₁₃×#124	—	2	4	no	—
213	C₁₃×#124	—	4	2	no	—
214	C₁₃×#124	—	4	2	no	—
215	C₁₃×#123	—	4	2	no	—
216	C₁₃×#123	—	4	2	no	—
217	C₁₃×#123	—	4	2	no	—
218	C₁₃×C₂²⋊Q₈	—	4	2	no	—
219	C₁₃×C₂²⋊Q₈	—	4	2	no	—
220	C₁₃×C₂²⋊Q₈	—	4	2	no	—
221	C₁₃×C₂²⋊Q₈	—	4	2	no	—
222	C₁₃×#120	—	2	4	no	—
223	C₁₃×#120	—	4	2	no	—
224	C₄×D₄×C₁₃	—	4	2	no	—
225	C₄×D₄×C₁₃	—	4	2	no	—
226	C₄×D₄×C₁₃	—	4	2	no	—
227	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×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×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×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	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	#36858	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	C₂×Q₈×C₁₃	—	2	2	no	—
377	C₂×Q₈×C₁₃	—	2	2	no	—
378	C₂×Q₈×C₁₃	—	4	1	no	—
379	C₂×Q₈×C₁₃	—	4	1	no	—
380	C₂×Q₈×C₁₃	—	4	1	no	—
381	C₂×Q₈×C₁₃	—	4	1	no	—
382	C₂×Q₈×C₁₃	—	4	1	no	—
383	C₂×Q₈×C₁₃	—	4	1	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	—	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	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	—	4	1	no	—
416	C₂²×C₄×C₁₃	—	4	1	no	—
417	C₂²×C₄×C₁₃	—	4	1	no	—
418	C₂²×C₄×C₁₃	—	4	1	no	—
419	C₂²×C₄×C₁₃	—	4	1	no	—
420	C₂²×C₄×C₁₃	—	4	1	no	—
421	C₂²×C₄×C₁₃	—	4	1	no	—
422	C₂²×C₄×C₁₃	—	4	1	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	16	no	—
431	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
437	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	C₁₃×C₄⋊C₄	—	2	2	no	—
458	C₁₃×C₄⋊C₄	—	2	2	no	—
459	C₁₃×C₄⋊C₄	—	2	2	no	—
460	C₁₃×C₄⋊C₄	—	2	2	no	—
461	C₁₃×C₄⋊C₄	—	2	2	no	—
462	C₁₃×C₄⋊C₄	—	2	2	no	—
463	C₁₃×C₄⋊C₄	—	2	2	no	—
464	C₁₃×C₄⋊C₄	—	2	2	no	—
465	C₁₃×C₄⋊C₄	—	2	2	no	—
466	C₁₃×C₄⋊C₄	—	4	1	no	—
467	C₁₃×C₄⋊C₄	—	4	1	no	—
468	C₁₃×C₄⋊C₄	—	4	1	no	—
469	C₁₃×C₄⋊C₄	—	4	1	no	—
470	C₁₃×C₄⋊C₄	—	4	1	no	—
471	C₁₃×C₄⋊C₄	—	4	1	no	—
472	C₁₃×C₄⋊C₄	—	4	1	no	—
473	C₁₃×C₄⋊C₄	—	4	1	no	—
474	C₁₃×C₄⋊C₄	—	4	1	no	—
475	C₁₃×C₄⋊C₄	—	4	1	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×C₂²⋊C₄	—	2	2	no	—
490	C₁₃×C₂²⋊C₄	—	2	2	no	—
491	C₁₃×C₂²⋊C₄	—	2	2	no	—
492	C₁₃×C₂²⋊C₄	—	2	2	no	—
493	C₁₃×C₂²⋊C₄	—	2	2	no	—
494	C₁₃×C₂²⋊C₄	—	2	2	no	—
495	C₁₃×C₂²⋊C₄	—	2	2	no	—
496	C₁₃×C₂²⋊C₄	—	2	2	no	—
497	C₁₃×C₂²⋊C₄	—	2	2	no	—
498	C₁₃×C₂²⋊C₄	—	2	2	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	—	4	1	no	—
506	C₁₃×C₂²⋊C₄	—	4	1	no	—
507	C₁₃×C₂²⋊C₄	—	4	1	no	—
508	C₁₃×C₂²⋊C₄	—	4	1	no	—
509	C₁₃×C₂²⋊C₄	—	4	1	no	—
510	C₁₃×C₂²⋊C₄	—	4	1	no	—
511	C₁₃×C₂²⋊C₄	—	4	1	no	—
512	C₁₃×C₂²⋊C₄	—	4	1	no	—
513	C₁₃×C₂²⋊C₄	—	4	1	no	—
514	C₁₃×C₂²⋊C₄	—	4	1	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	#41	1	4	yes	—
539	C₄²×C₁₃	—	2	2	no	—
540	C₄²×C₁₃	—	2	2	no	—
541	C₄²×C₁₃	—	2	2	no	—
542	C₄²×C₁₃	—	4	1	no	—
543	C₄²×C₁₃	—	4	1	no	—
544	C₄²×C₁₃	—	4	1	no	—
545	C₄²×C₁₃	—	4	1	no	—
546	C₄²×C₁₃	—	4	1	no	—
547	C₄²×C₁₃	—	4	1	no	—
548	C₄²×C₁₃	—	4	1	no	—
549	#2849	C₂×C₁₃	1	1	yes	characteristic, complemented
550	#2848	C₂×C₁₃	1	1	yes	characteristic, complemented
551	#2797	C₂×C₁₃	1	1	yes	characteristic, complemented
552	#2781	C₂×C₁₃	1	1	yes	characteristic, complemented
553	#2780	C₂×C₁₃	1	1	yes	characteristic, complemented
554	#2763	C₂×C₁₃	1	1	yes	characteristic, complemented
555	#2757	C₂×C₁₃	1	1	yes	characteristic, complemented
556	#2738	C₂×C₁₃	1	1	yes	characteristic, complemented
557	#2735	C₂×C₁₃	1	1	yes	characteristic, complemented
558	#2729	C₂×C₁₃	1	1	yes	characteristic, complemented
559	#2715	C₂×C₁₃	1	1	yes	characteristic, complemented
560	#2706	C₂×C₁₃	1	1	yes	characteristic, complemented
561	#2700	C₂×C₁₃	1	1	yes	characteristic, complemented
562	#2696	C₂×C₁₃	1	1	yes	characteristic, complemented
563	#2685	C₂×C₁₃	1	1	yes	characteristic, complemented
564	#2684	C₂×C₁₃	1	1	yes	characteristic, complemented
565	#2674	C₂×C₁₃	1	1	yes	characteristic, complemented
566	#2670	C₂×C₁₃	1	1	yes	characteristic
567	#2638	C₂×C₁₃	1	1	yes	characteristic, complemented
568	#2636	C₂×C₁₃	1	1	yes	characteristic, complemented
569	#2575	C₂×C₁₃	1	1	yes	characteristic, complemented
570	#2574	C₂×C₁₃	1	1	yes	characteristic, complemented
571	#2560	C₂×C₁₃	1	1	yes	characteristic, complemented
572	#2553	C₂×C₁₃	1	1	yes	characteristic, complemented
573	#2461	C₂×C₁₃	1	1	yes	characteristic, complemented
574	#2457	C₂×C₁₃	1	1	yes	characteristic, complemented
575	#2452	C₂×C₁₃	1	1	yes	characteristic, complemented
576	#2447	C₂×C₁₃	1	1	yes	characteristic, complemented
577	#2337	C₂×C₁₃	1	1	yes	characteristic, complemented
578	#2334	C₂×C₁₃	1	1	yes	characteristic, complemented
579	C₄×#120	C₂×C₁₃	1	1	yes	characteristic, complemented
580	C₂³×C₁₃	—	2	1	no	—
581	C₂³×C₁₃	—	2	1	no	—
582	C₂³×C₁₃	—	2	1	no	—
583	C₂³×C₁₃	—	2	1	no	—
584	C₂³×C₁₃	—	2	1	no	—
585	C₂³×C₁₃	—	2	1	no	—
586	C₂³×C₁₃	—	2	1	no	—
587	C₂³×C₁₃	—	2	1	no	—
588	C₂³×C₁₃	—	2	1	no	—
589	C₂³×C₁₃	—	2	1	no	—
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	—	4	4	no	—
613	C₂³×C₁₃	—	4	4	no	—
614	C₂³×C₁₃	—	4	4	no	—
615	C₂³×C₁₃	—	4	4	no	—
616	C₂³×C₁₃	—	4	4	no	—
617	C₂³×C₁₃	—	4	4	no	—
618	C₂³×C₁₃	—	4	4	no	—
619	C₂³×C₁₃	C₂×#41	1	2	yes	—
620	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
621	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
622	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
623	Q₈×C₁₃	—	8	2	no	—
624	Q₈×C₁₃	—	8	2	no	—
625	Q₈×C₁₃	—	8	2	no	—
626	D₄×C₁₃	—	4	4	no	—
627	D₄×C₁₃	—	4	4	no	—
628	D₄×C₁₃	—	4	4	no	—
629	D₄×C₁₃	—	8	2	no	—
630	D₄×C₁₃	—	8	2	no	—
631	D₄×C₁₃	—	8	2	no	—
632	D₄×C₁₃	—	8	2	no	—
633	C₂×C₄×C₁₃	—	2	1	no	—
634	C₂×C₄×C₁₃	—	2	1	no	—
635	C₂×C₄×C₁₃	—	2	1	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	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	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	—	4	4	no	—
708	C₂×C₄×C₁₃	—	4	4	no	—
709	C₂×C₄×C₁₃	—	4	4	no	—
710	C₂×C₄×C₁₃	—	4	4	no	—
711	C₂×C₄×C₁₃	—	4	4	no	—
712	C₂×C₄×C₁₃	—	4	4	no	—
713	C₂×C₄×C₁₃	—	8	2	no	—
714	C₂×C₄×C₁₃	—	8	2	no	—
715	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
716	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
717	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
718	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
719	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic
720	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
721	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
722	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
724	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
725	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
726	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
727	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
728	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic, complemented
729	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
730	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
731	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
732	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
733	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
734	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
735	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
736	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
737	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
738	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
739	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
740	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
741	#400	C₂²×C₁₃	1	1	yes	characteristic, complemented
742	#399	C₂²×C₁₃	1	1	yes	characteristic
743	#399	C₂²×C₁₃	1	1	yes	characteristic
744	#399	C₂²×C₁₃	1	1	yes	characteristic, complemented
745	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
746	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
747	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
748	#398	C₂²×C₁₃	1	1	yes	characteristic, complemented
749	#397	C₂²×C₁₃	1	1	yes	characteristic
750	#397	C₂²×C₁₃	1	1	yes	characteristic
751	#397	C₂²×C₁₃	1	1	yes	characteristic
752	#397	C₂²×C₁₃	1	1	yes	characteristic
753	#397	C₂²×C₁₃	1	1	yes	characteristic
754	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
755	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
756	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
757	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
758	#397	C₂²×C₁₃	1	1	yes	characteristic, complemented
759	#396	C₂²×C₁₃	1	1	yes	characteristic
760	#396	C₂²×C₁₃	1	1	yes	characteristic
761	#396	C₂²×C₁₃	1	1	yes	characteristic
762	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
763	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
764	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
765	#396	C₂²×C₁₃	1	1	yes	characteristic, complemented
766	#395	C₂²×C₁₃	1	1	yes	characteristic, complemented
767	#395	C₂²×C₁₃	1	1	yes	characteristic, complemented
768	#395	C₂²×C₁₃	1	1	yes	characteristic, complemented
769	#394	C₂²×C₁₃	1	1	yes	characteristic
770	#394	C₂²×C₁₃	1	1	yes	characteristic
771	#394	C₂²×C₁₃	1	1	yes	characteristic
772	#394	C₂²×C₁₃	1	1	yes	characteristic
773	#394	C₂²×C₁₃	1	1	yes	characteristic
774	#394	C₂²×C₁₃	1	1	yes	characteristic
775	#394	C₂²×C₁₃	1	1	yes	characteristic
776	#394	C₂²×C₁₃	1	1	yes	characteristic
777	#394	C₂²×C₁₃	1	1	yes	characteristic, complemented
778	#393	C₂²×C₁₃	1	1	yes	characteristic
779	#393	C₂²×C₁₃	1	1	yes	characteristic
780	#393	C₂²×C₁₃	1	1	yes	characteristic
781	#393	C₂²×C₁₃	1	1	yes	characteristic, complemented
782	#393	C₂²×C₁₃	1	1	yes	characteristic, complemented
783	#392	C₂²×C₁₃	1	1	yes	characteristic
784	#392	C₂²×C₁₃	1	1	yes	characteristic
785	#392	C₂²×C₁₃	1	1	yes	characteristic
786	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
787	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
788	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
789	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
790	#390	C₂²×C₁₃	1	1	yes	characteristic
791	#390	C₂²×C₁₃	1	1	yes	characteristic
792	#390	C₂²×C₁₃	1	1	yes	characteristic
793	#390	C₂²×C₁₃	1	1	yes	characteristic
794	#390	C₂²×C₁₃	1	1	yes	characteristic, complemented
795	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
796	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
797	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
798	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
799	#388	C₂²×C₁₃	1	1	yes	characteristic
800	#388	C₂²×C₁₃	1	1	yes	characteristic
801	#388	C₂²×C₁₃	1	1	yes	characteristic
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
811	#388	C₂²×C₁₃	1	1	yes	characteristic
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, complemented
837	#385	C₂²×C₁₃	1	1	yes	characteristic
838	#385	C₂²×C₁₃	1	1	yes	characteristic
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
850	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
851	#385	C₂²×C₁₃	1	1	yes	characteristic, complemented
852	#383	C₂²×C₁₃	1	1	yes	characteristic, complemented
853	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
854	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
855	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
856	#381	C₂²×C₁₃	1	1	yes	characteristic
857	#381	C₂²×C₁₃	1	1	yes	characteristic
858	#381	C₂²×C₁₃	1	1	yes	characteristic, complemented
859	#380	C₂²×C₁₃	1	1	yes	characteristic
860	#380	C₂²×C₁₃	1	1	yes	characteristic
861	#380	C₂²×C₁₃	1	1	yes	characteristic
862	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
863	#379	C₂²×C₁₃	1	1	yes	characteristic
864	#379	C₂²×C₁₃	1	1	yes	characteristic
865	#379	C₂²×C₁₃	1	1	yes	characteristic
866	#379	C₂²×C₁₃	1	1	yes	characteristic
867	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
868	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
869	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
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, complemented
874	C₂²×C₁₃	—	2	2	no	—
875	C₂²×C₁₃	—	2	2	no	—
876	C₂²×C₁₃	—	2	2	no	—
877	C₂²×C₁₃	—	2	2	no	—
878	C₂²×C₁₃	—	2	2	no	—
879	C₂²×C₁₃	—	2	2	no	—
880	C₂²×C₁₃	—	2	2	no	—
881	C₂²×C₁₃	—	2	2	no	—
882	C₂²×C₁₃	—	2	2	no	—
883	C₂²×C₁₃	—	4	16	no	—
884	C₂²×C₁₃	—	4	1	no	—
885	C₂²×C₁₃	—	4	1	no	—
886	C₂²×C₁₃	—	4	1	no	—
887	C₂²×C₁₃	—	4	1	no	—
888	C₂²×C₁₃	—	4	1	no	—
889	C₂²×C₁₃	—	4	1	no	—
890	C₂²×C₁₃	—	4	1	no	—
891	C₂²×C₁₃	—	4	1	no	—
892	C₂²×C₁₃	—	4	1	no	—
893	C₂²×C₁₃	—	4	1	no	—
894	C₂²×C₁₃	—	4	1	no	—
895	C₂²×C₁₃	—	4	1	no	—
896	C₂²×C₁₃	—	4	1	no	—
897	C₂²×C₁₃	—	4	1	no	—
898	C₂²×C₁₃	—	4	1	no	—
899	C₂²×C₁₃	—	4	1	no	—
900	C₂²×C₁₃	—	4	1	no	—
901	C₂²×C₁₃	—	4	1	no	—
902	C₂²×C₁₃	—	4	1	no	—
903	C₂²×C₁₃	—	4	1	no	—
904	C₂²×C₁₃	—	4	1	no	—
905	C₂²×C₁₃	—	4	1	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	C₂²×#41	1	1	yes	characteristic
911	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
912	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
913	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
914	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
915	C₂²×C₁₃	#585	1	1	yes	characteristic
916	C₂²×C₁₃	#585	1	1	yes	characteristic
917	C₄×C₁₃	—	2	2	no	—
918	C₄×C₁₃	—	2	2	no	—
919	C₄×C₁₃	—	2	2	no	—
920	C₄×C₁₃	—	2	2	no	—
921	C₄×C₁₃	—	4	1	no	—
922	C₄×C₁₃	—	4	1	no	—
923	C₄×C₁₃	—	4	1	no	—
924	C₄×C₁₃	—	4	1	no	—
925	C₄×C₁₃	—	4	1	no	—
926	C₄×C₁₃	—	4	1	no	—
927	C₄×C₁₃	—	4	1	no	—
928	C₄×C₁₃	—	4	1	no	—
929	C₄×C₁₃	—	4	1	no	—
930	C₄×C₁₃	—	4	1	no	—
931	C₄×C₁₃	—	4	1	no	—
932	C₄×C₁₃	—	4	1	no	—
933	C₄×C₁₃	—	4	1	no	—
934	C₄×C₁₃	—	4	1	no	—
935	C₄×C₁₃	—	4	1	no	—
936	C₄×C₁₃	—	4	1	no	—
937	C₄×C₁₃	—	4	1	no	—
938	C₄×C₁₃	—	4	1	no	—
939	C₄×C₁₃	—	4	1	no	—
940	C₄×C₁₃	—	4	1	no	—
941	C₄×C₁₃	—	4	1	no	—
942	C₄×C₁₃	—	4	1	no	—
943	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
944	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
945	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
946	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
947	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
948	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
949	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
950	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
951	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
952	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
953	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
954	C₂³×C₄	—	4	2	no	—
955	C₂³×C₄	—	4	2	no	—
956	C₂³×C₄	—	4	2	no	—
957	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
958	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
959	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
960	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
961	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
962	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
963	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
964	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
965	C₄⋊Q₈	—	4	2	no	—
966	#126	—	2	4	no	—
967	#126	—	4	2	no	—
968	#124	—	2	4	no	—
969	#124	—	4	2	no	—
970	#124	—	4	2	no	—
971	#123	—	4	2	no	—
972	#123	—	4	2	no	—
973	#123	—	4	2	no	—
974	C₂²⋊Q₈	—	4	2	no	—
975	C₂²⋊Q₈	—	4	2	no	—
976	C₂²⋊Q₈	—	4	2	no	—
977	C₂²⋊Q₈	—	4	2	no	—
978	#120	—	2	4	no	—
979	#120	—	4	2	no	—
980	C₄×D₄	—	4	2	no	—
981	C₄×D₄	—	4	2	no	—
982	C₄×D₄	—	4	2	no	—
983	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
984	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
985	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
988	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
989	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
990	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
993	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
994	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
995	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
996	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
997	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
998	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1001	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1002	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1003	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1016	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1017	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1018	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1019	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1020	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1021	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1023	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1025	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1028	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1030	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1066	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1067	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1068	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1069	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1070	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1071	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1072	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1073	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1074	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1075	#95	C₂³×C₁₃	1	1	yes	characteristic
1076	#95	C₂³×C₁₃	1	1	yes	characteristic
1077	#95	C₂³×C₁₃	1	1	yes	characteristic
1078	#95	C₂³×C₁₃	1	1	yes	characteristic
1079	#95	C₂³×C₁₃	1	1	yes	characteristic
1080	#95	C₂³×C₁₃	1	1	yes	characteristic
1081	#95	C₂³×C₁₃	1	1	yes	characteristic
1082	#95	C₂³×C₁₃	1	1	yes	characteristic
1083	#95	C₂³×C₁₃	1	1	yes	characteristic
1084	#95	C₂³×C₁₃	1	1	yes	characteristic
1085	#95	C₂³×C₁₃	1	1	yes	characteristic
1086	#95	C₂³×C₁₃	1	1	yes	characteristic
1087	#95	C₂³×C₁₃	1	1	yes	characteristic
1088	#95	C₂³×C₁₃	1	1	yes	characteristic
1089	#95	C₂³×C₁₃	1	1	yes	characteristic
1090	#95	C₂³×C₁₃	1	1	yes	characteristic
1091	#95	C₂³×C₁₃	1	1	yes	characteristic
1092	#95	C₂³×C₁₃	1	1	yes	characteristic
1093	#95	C₂³×C₁₃	1	1	yes	characteristic
1094	#95	C₂³×C₁₃	1	1	yes	characteristic
1095	#95	C₂³×C₁₃	1	1	yes	characteristic
1096	#95	C₂³×C₁₃	1	1	yes	characteristic
1097	#95	C₂³×C₁₃	1	1	yes	characteristic
1098	#95	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	C₂×C₁₃	—	4	2	no	—
1120	C₂×C₁₃	—	4	2	no	—
1121	C₂×C₁₃	—	4	2	no	—
1122	C₂×C₁₃	—	8	1	no	—
1123	C₂×C₁₃	—	8	1	no	—
1124	C₂×C₁₃	#3460	1	1	yes	characteristic
1125	C₂×C₁₃	#3513	1	1	yes	characteristic
1126	C₂×C₁₃	#3520	1	1	yes	characteristic
1127	C₂×C₁₃	#3532	1	1	yes	characteristic
1128	C₂×C₁₃	#3535	1	1	yes	characteristic
1129	C₂×C₁₃	#3540	1	1	yes	characteristic
1130	C₂×C₁₃	#3541	1	1	yes	characteristic
1131	C₂⁴	—	2	2	no	—
1132	C₂⁴	—	2	2	no	—
1133	C₂⁴	—	2	2	no	—
1134	C₂⁴	—	4	1	no	—
1135	C₂⁴	—	4	1	no	—
1136	C₂⁴	—	4	1	no	—
1137	C₂⁴	—	4	1	no	—
1138	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1139	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1140	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1141	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1142	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1143	C₂×Q₈	—	2	2	no	—
1144	C₂×Q₈	—	2	2	no	—
1145	C₂×Q₈	—	4	1	no	—
1146	C₂×Q₈	—	4	1	no	—
1147	C₂×Q₈	—	4	1	no	—
1148	C₂×Q₈	—	4	1	no	—
1149	C₂×Q₈	—	4	1	no	—
1150	C₂×Q₈	—	4	1	no	—
1151	C₂×Q₈	—	4	1	no	—
1152	C₂×D₄	—	2	2	no	—
1153	C₂×D₄	—	2	2	no	—
1154	C₂×D₄	—	2	2	no	—
1155	C₂×D₄	—	2	2	no	—
1156	C₂×D₄	—	2	2	no	—
1157	C₂×D₄	—	2	2	no	—
1158	C₂×D₄	—	2	2	no	—
1159	C₂×D₄	—	2	2	no	—
1160	C₂×D₄	—	4	1	no	—
1161	C₂×D₄	—	4	1	no	—
1162	C₂×D₄	—	4	1	no	—
1163	C₂×D₄	—	4	1	no	—
1164	C₂×D₄	—	4	1	no	—
1165	C₂×D₄	—	4	1	no	—
1166	C₂×D₄	—	4	1	no	—
1167	C₂×D₄	—	4	1	no	—
1168	C₂×D₄	—	4	1	no	—
1169	C₂×D₄	—	4	1	no	—
1170	C₂×D₄	—	4	1	no	—
1171	C₂×D₄	—	4	1	no	—
1172	C₂×D₄	—	4	1	no	—
1173	C₂²×C₄	—	2	2	no	—
1174	C₂²×C₄	—	2	2	no	—
1175	C₂²×C₄	—	2	2	no	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	2	2	no	—
1178	C₂²×C₄	—	2	2	no	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	2	no	—
1182	C₂²×C₄	—	4	1	no	—
1183	C₂²×C₄	—	4	1	no	—
1184	C₂²×C₄	—	4	1	no	—
1185	C₂²×C₄	—	4	1	no	—
1186	C₂²×C₄	—	4	1	no	—
1187	C₂²×C₄	—	4	1	no	—
1188	C₂²×C₄	—	4	1	no	—
1189	C₂²×C₄	—	4	1	no	—
1190	C₂²×C₄	—	4	1	no	—
1191	C₂²×C₄	—	4	1	no	—
1192	C₂²×C₄	—	4	1	no	—
1193	C₂²×C₄	—	4	1	no	—
1194	C₂²×C₄	—	4	1	no	—
1195	C₂²×C₄	—	4	1	no	—
1196	C₂²×C₄	—	4	1	no	—
1197	C₂²×C₄	—	4	16	no	—
1198	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1202	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1203	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1204	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1205	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1206	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1207	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1208	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1209	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1210	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1211	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1212	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1213	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1214	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1215	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1216	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1217	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1218	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1219	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1220	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1223	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1224	C₄⋊C₄	—	2	2	no	—
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	2	no	—
1227	C₄⋊C₄	—	2	2	no	—
1228	C₄⋊C₄	—	2	2	no	—
1229	C₄⋊C₄	—	2	2	no	—
1230	C₄⋊C₄	—	2	2	no	—
1231	C₄⋊C₄	—	2	2	no	—
1232	C₄⋊C₄	—	2	2	no	—
1233	C₄⋊C₄	—	4	1	no	—
1234	C₄⋊C₄	—	4	1	no	—
1235	C₄⋊C₄	—	4	1	no	—
1236	C₄⋊C₄	—	4	1	no	—
1237	C₄⋊C₄	—	4	1	no	—
1238	C₄⋊C₄	—	4	1	no	—
1239	C₄⋊C₄	—	4	1	no	—
1240	C₄⋊C₄	—	4	1	no	—
1241	C₄⋊C₄	—	4	1	no	—
1242	C₄⋊C₄	—	4	1	no	—
1243	C₄⋊C₄	—	4	1	no	—
1244	C₄⋊C₄	—	4	1	no	—
1245	C₄⋊C₄	—	4	1	no	—
1246	C₄⋊C₄	—	4	1	no	—
1247	C₄⋊C₄	—	4	1	no	—
1248	C₄⋊C₄	—	4	1	no	—
1249	C₄⋊C₄	—	4	1	no	—
1250	C₄⋊C₄	—	4	1	no	—
1251	C₄⋊C₄	—	4	1	no	—
1252	C₄⋊C₄	—	4	1	no	—
1253	C₄⋊C₄	—	4	1	no	—
1254	C₄⋊C₄	—	4	1	no	—
1255	C₄⋊C₄	—	4	1	no	—
1256	C₂²⋊C₄	—	2	2	no	—
1257	C₂²⋊C₄	—	2	2	no	—
1258	C₂²⋊C₄	—	2	2	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	2	2	no	—
1264	C₂²⋊C₄	—	2	2	no	—
1265	C₂²⋊C₄	—	2	2	no	—
1266	C₂²⋊C₄	—	2	2	no	—
1267	C₂²⋊C₄	—	2	2	no	—
1268	C₂²⋊C₄	—	2	2	no	—
1269	C₂²⋊C₄	—	2	2	no	—
1270	C₂²⋊C₄	—	2	2	no	—
1271	C₂²⋊C₄	—	2	2	no	—
1272	C₂²⋊C₄	—	4	1	no	—
1273	C₂²⋊C₄	—	4	1	no	—
1274	C₂²⋊C₄	—	4	1	no	—
1275	C₂²⋊C₄	—	4	1	no	—
1276	C₂²⋊C₄	—	4	1	no	—
1277	C₂²⋊C₄	—	4	1	no	—
1278	C₂²⋊C₄	—	4	1	no	—
1279	C₂²⋊C₄	—	4	1	no	—
1280	C₂²⋊C₄	—	4	1	no	—
1281	C₂²⋊C₄	—	4	1	no	—
1282	C₂²⋊C₄	—	4	1	no	—
1283	C₂²⋊C₄	—	4	1	no	—
1284	C₂²⋊C₄	—	4	1	no	—
1285	C₂²⋊C₄	—	4	1	no	—
1286	C₂²⋊C₄	—	4	1	no	—
1287	C₂²⋊C₄	—	4	1	no	—
1288	C₂²⋊C₄	—	4	1	no	—
1289	C₂²⋊C₄	—	4	1	no	—
1290	C₂²⋊C₄	—	4	1	no	—
1291	C₂²⋊C₄	—	4	1	no	—
1292	C₂²⋊C₄	—	4	1	no	—
1293	C₂²⋊C₄	—	4	1	no	—
1294	C₂²⋊C₄	—	4	1	no	—
1295	C₂²⋊C₄	—	4	1	no	—
1296	C₂²⋊C₄	—	4	1	no	—
1297	C₂²⋊C₄	—	4	1	no	—
1298	C₂²⋊C₄	—	4	1	no	—
1299	C₂²⋊C₄	—	4	1	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₂²⋊C₄	—	4	1	no	—
1303	C₂²⋊C₄	—	4	1	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	C₁₃×#41	1	4	yes	—
1306	C₄²	—	2	2	no	—
1307	C₄²	—	2	2	no	—
1308	C₄²	—	2	2	no	—
1309	C₄²	—	4	1	no	—
1310	C₄²	—	4	1	no	—
1311	C₄²	—	4	1	no	—
1312	C₄²	—	4	1	no	—
1313	C₄²	—	4	1	no	—
1314	C₄²	—	4	1	no	—
1315	C₄²	—	4	1	no	—
1316	C₁₃	#36858	1	1	yes	characteristic, direct product factor, Sylow
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	1	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	2	1	no	—
1341	C₂³	—	2	1	no	—
1342	C₂³	—	2	1	no	—
1343	C₂³	—	2	1	no	—
1344	C₂³	—	2	1	no	—
1345	C₂³	—	2	1	no	—
1346	C₂³	—	2	1	no	—
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	4	4	no	—
1350	C₂³	—	4	4	no	—
1351	C₂³	—	4	4	no	—
1352	C₂³	—	4	4	no	—
1353	C₂³	—	4	4	no	—
1354	C₂³	—	4	4	no	—
1355	C₂³	—	4	4	no	—
1356	C₂³	C₂×C₁₃×#41	1	2	yes	—
1357	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1358	C₂³	C₁₃×2₋¹⁺⁴	1	2	yes	—
1359	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1360	Q₈	—	8	2	no	—
1361	Q₈	—	8	2	no	—
1362	Q₈	—	8	2	no	—
1363	D₄	—	4	4	no	—
1364	D₄	—	4	4	no	—
1365	D₄	—	4	4	no	—
1366	D₄	—	8	2	no	—
1367	D₄	—	8	2	no	—
1368	D₄	—	8	2	no	—
1369	D₄	—	8	2	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	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	—	4	4	no	—
1445	C₂×C₄	—	4	4	no	—
1446	C₂×C₄	—	4	4	no	—
1447	C₂×C₄	—	4	4	no	—
1448	C₂×C₄	—	4	4	no	—
1449	C₂×C₄	—	4	4	no	—
1450	C₂×C₄	—	8	2	no	—
1451	C₂×C₄	—	8	2	no	—
1452	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1453	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1454	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1455	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1456	C₂²	—	2	2	no	—
1457	C₂²	—	2	2	no	—
1458	C₂²	—	2	2	no	—
1459	C₂²	—	2	2	no	—
1460	C₂²	—	2	2	no	—
1461	C₂²	—	2	2	no	—
1462	C₂²	—	2	2	no	—
1463	C₂²	—	2	2	no	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	4	16	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	4	1	no	—
1472	C₂²	—	4	1	no	—
1473	C₂²	—	4	1	no	—
1474	C₂²	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	1	no	—
1480	C₂²	—	4	1	no	—
1481	C₂²	—	4	1	no	—
1482	C₂²	—	4	1	no	—
1483	C₂²	—	4	1	no	—
1484	C₂²	—	4	1	no	—
1485	C₂²	—	4	1	no	—
1486	C₂²	—	4	1	no	—
1487	C₂²	—	4	1	no	—
1488	C₂²	—	4	1	no	—
1489	C₂²	—	4	1	no	—
1490	C₂²	—	4	1	no	—
1491	C₂²	—	4	1	no	—
1492	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1493	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1494	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1495	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1496	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1497	C₂²	C₁₃×#585	1	1	yes	characteristic
1498	C₂²	C₁₃×#585	1	1	yes	characteristic
1499	C₄	—	2	2	no	—
1500	C₄	—	2	2	no	—
1501	C₄	—	2	2	no	—
1502	C₄	—	2	2	no	—
1503	C₄	—	4	1	no	—
1504	C₄	—	4	1	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₄	—	4	1	no	—
1514	C₄	—	4	1	no	—
1515	C₄	—	4	1	no	—
1516	C₄	—	4	1	no	—
1517	C₄	—	4	1	no	—
1518	C₄	—	4	1	no	—
1519	C₄	—	4	1	no	—
1520	C₄	—	4	1	no	—
1521	C₄	—	4	1	no	—
1522	C₄	—	4	1	no	—
1523	C₄	—	4	1	no	—
1524	C₄	—	4	1	no	—
1525	C₂	—	4	2	no	—
1526	C₂	—	4	2	no	—
1527	C₂	—	4	2	no	—
1528	C₂	—	8	1	no	—
1529	C₂	—	8	1	no	—
1530	C₂	C₁₃×#3460	1	1	yes	characteristic
1531	C₂	C₁₃×#3513	1	1	yes	characteristic
1532	C₂	C₁₃×#3520	1	1	yes	characteristic
1533	C₂	C₁₃×#3532	1	1	yes	characteristic
1534	C₂	C₁₃×#3535	1	1	yes	characteristic
1535	C₂	C₁₃×#3540	1	1	yes	characteristic
1536	C₂	C₁₃×#3541	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₁₃×#2670	C₂
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×#2848	C₂	semidirect
3. C₁₃×#2797	C₂	semidirect
4. C₁₃×#2781	C₂	semidirect
5. C₁₃×#2780	C₂	semidirect
6. C₁₃×#2763	C₂	semidirect
7. C₁₃×#2757	C₂	semidirect
8. C₁₃×#2738	C₂	semidirect
9. C₁₃×#2735	C₂	semidirect
10. C₁₃×#2729	C₂	semidirect
11. C₁₃×#2715	C₂	semidirect
12. C₁₃×#2706	C₂	semidirect
13. C₁₃×#2700	C₂	semidirect
14. C₁₃×#2696	C₂	semidirect
15. C₁₃×#2685	C₂	semidirect
16. C₁₃×#2684	C₂	semidirect
17. C₁₃×#2674	C₂	semidirect
19. C₁₃×#2638	C₂	semidirect
20. C₁₃×#2636	C₂	semidirect
21. C₁₃×#2575	C₂	semidirect
22. C₁₃×#2574	C₂	semidirect
23. C₁₃×#2560	C₂	semidirect
24. C₁₃×#2553	C₂	semidirect
25. C₁₃×#2461	C₂	semidirect
26. C₁₃×#2457	C₂	semidirect
27. C₁₃×#2452	C₂	semidirect
28. C₁₃×#2447	C₂	semidirect
29. C₁₃×#2337	C₂	semidirect
30. C₁₃×#2334	C₂	semidirect
31. C₄×C₁₃×#120	C₂	semidirect
33. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
35. C₂×C₁₃×#126	C₂²	semidirect
41. C₂×C₁₃×#123	C₂²	semidirect
45. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
51. C₁₃×#400	C₂²	semidirect
52. C₁₃×#400	C₂²	semidirect
53. C₁₃×#400	C₂²	semidirect
54. C₁₃×#400	C₂²	semidirect
57. C₁₃×#399	C₂²	semidirect
58. C₁₃×#398	C₂²	semidirect
59. C₁₃×#398	C₂²	semidirect
60. C₁₃×#398	C₂²	semidirect
61. C₁₃×#398	C₂²	semidirect
67. C₁₃×#397	C₂²	semidirect
68. C₁₃×#397	C₂²	semidirect
69. C₁₃×#397	C₂²	semidirect
70. C₁₃×#397	C₂²	semidirect
71. C₁₃×#397	C₂²	semidirect
75. C₁₃×#396	C₂²	semidirect
76. C₁₃×#396	C₂²	semidirect
77. C₁₃×#396	C₂²	semidirect
78. C₁₃×#396	C₂²	semidirect
79. C₁₃×#395	C₂²	semidirect
80. C₁₃×#395	C₂²	semidirect
81. C₁₃×#395	C₂²	semidirect
90. C₁₃×#394	C₂²	semidirect
94. C₁₃×#393	C₂²	semidirect
95. C₁₃×#393	C₂²	semidirect
99. C₁₃×#391	C₂²	semidirect
100. C₁₃×#391	C₂²	semidirect
101. C₁₃×#391	C₂²	semidirect
102. C₁₃×#391	C₂²	semidirect
107. C₁₃×#390	C₂²	semidirect
108. C₁₃×#389	C₂²	semidirect
109. C₁₃×#389	C₂²	semidirect
110. C₁₃×#389	C₂²	semidirect
111. C₁₃×#389	C₂²	semidirect
125. C₁₃×#388	C₂²	semidirect
126. C₁₃×#388	C₂²	semidirect
127. C₁₃×#388	C₂²	semidirect
128. C₁₃×#388	C₂²	semidirect
129. C₁₃×#388	C₂²	semidirect
130. C₁₃×#387	C₂²	semidirect
131. C₁₃×#387	C₂²	semidirect
132. C₁₃×#387	C₂²	semidirect
133. C₁₃×#387	C₂²	semidirect
134. C₁₃×#387	C₂²	semidirect
135. C₁₃×#387	C₂²	semidirect
136. C₁₃×#387	C₂²	semidirect
137. C₁₃×#387	C₂²	semidirect
138. C₁₃×#387	C₂²	semidirect
149. C₁₃×#386	C₂²	semidirect
163. C₁₃×#385	C₂²	semidirect
164. C₁₃×#385	C₂²	semidirect
165. C₁₃×#383	C₂²	semidirect
166. C₁₃×#382	C₂²	semidirect
167. C₁₃×#382	C₂²	semidirect
168. C₁₃×#382	C₂²	semidirect
171. C₁₃×#381	C₂²	semidirect
175. C₁₃×#380	C₂²	semidirect
180. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
181. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
182. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
186. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
363. #36858	C₁₃	direct (N × H)
549. #2849	C₂×C₁₃	semidirect
550. #2848	C₂×C₁₃	semidirect
551. #2797	C₂×C₁₃	semidirect
552. #2781	C₂×C₁₃	semidirect
553. #2780	C₂×C₁₃	semidirect
554. #2763	C₂×C₁₃	semidirect
555. #2757	C₂×C₁₃	semidirect
556. #2738	C₂×C₁₃	semidirect
557. #2735	C₂×C₁₃	semidirect
558. #2729	C₂×C₁₃	semidirect
559. #2715	C₂×C₁₃	semidirect
560. #2706	C₂×C₁₃	semidirect
561. #2700	C₂×C₁₃	semidirect
562. #2696	C₂×C₁₃	semidirect
563. #2685	C₂×C₁₃	semidirect
564. #2684	C₂×C₁₃	semidirect
565. #2674	C₂×C₁₃	semidirect
567. #2638	C₂×C₁₃	semidirect
568. #2636	C₂×C₁₃	semidirect
569. #2575	C₂×C₁₃	semidirect
570. #2574	C₂×C₁₃	semidirect
571. #2560	C₂×C₁₃	semidirect
572. #2553	C₂×C₁₃	semidirect
573. #2461	C₂×C₁₃	semidirect
574. #2457	C₂×C₁₃	semidirect
575. #2452	C₂×C₁₃	semidirect
576. #2447	C₂×C₁₃	semidirect
577. #2337	C₂×C₁₃	semidirect
578. #2334	C₂×C₁₃	semidirect
579. C₄×#120	C₂×C₁₃	semidirect
720. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
722. C₂×#126	C₂²×C₁₃	semidirect
728. C₂×#123	C₂²×C₁₃	semidirect
732. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
738. #400	C₂²×C₁₃	semidirect
739. #400	C₂²×C₁₃	semidirect
740. #400	C₂²×C₁₃	semidirect
741. #400	C₂²×C₁₃	semidirect
744. #399	C₂²×C₁₃	semidirect
745. #398	C₂²×C₁₃	semidirect
746. #398	C₂²×C₁₃	semidirect
747. #398	C₂²×C₁₃	semidirect
748. #398	C₂²×C₁₃	semidirect
754. #397	C₂²×C₁₃	semidirect
755. #397	C₂²×C₁₃	semidirect
756. #397	C₂²×C₁₃	semidirect
757. #397	C₂²×C₁₃	semidirect
758. #397	C₂²×C₁₃	semidirect
762. #396	C₂²×C₁₃	semidirect
763. #396	C₂²×C₁₃	semidirect
764. #396	C₂²×C₁₃	semidirect
765. #396	C₂²×C₁₃	semidirect
766. #395	C₂²×C₁₃	semidirect
767. #395	C₂²×C₁₃	semidirect
768. #395	C₂²×C₁₃	semidirect
777. #394	C₂²×C₁₃	semidirect
781. #393	C₂²×C₁₃	semidirect
782. #393	C₂²×C₁₃	semidirect
786. #391	C₂²×C₁₃	semidirect
787. #391	C₂²×C₁₃	semidirect
788. #391	C₂²×C₁₃	semidirect
789. #391	C₂²×C₁₃	semidirect
794. #390	C₂²×C₁₃	semidirect
795. #389	C₂²×C₁₃	semidirect
796. #389	C₂²×C₁₃	semidirect
797. #389	C₂²×C₁₃	semidirect
798. #389	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
836. #386	C₂²×C₁₃	semidirect
850. #385	C₂²×C₁₃	semidirect
851. #385	C₂²×C₁₃	semidirect
852. #383	C₂²×C₁₃	semidirect
853. #382	C₂²×C₁₃	semidirect
854. #382	C₂²×C₁₃	semidirect
855. #382	C₂²×C₁₃	semidirect
858. #381	C₂²×C₁₃	semidirect
862. #380	C₂²×C₁₃	semidirect
867. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
868. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
869. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
873. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
1316. C₁₃	#36858	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×#2848	2
C₁₃×#2797	2
C₁₃×#2781	2
C₁₃×#2780	2
C₁₃×#2763	2
C₁₃×#2757	2
C₁₃×#2738	2
C₁₃×#2735	2
C₁₃×#2729	2
C₁₃×#2715	2
C₁₃×#2706	2
C₁₃×#2700	2
C₁₃×#2696	2
C₁₃×#2685	2
C₁₃×#2684	2
C₁₃×#2674	2
C₁₃×#2670	2
C₁₃×#2638	2
C₁₃×#2636	2
C₁₃×#2575	2
C₁₃×#2574	2
C₁₃×#2560	2
C₁₃×#2553	2
C₁₃×#2461	2
C₁₃×#2457	2
C₁₃×#2452	2
C₁₃×#2447	2
C₁₃×#2337	2
C₁₃×#2334	2
C₄×C₁₃×#120	2
#36858	13

Subgroups — C13×#36858 #15723197

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#36858 #15723197