Subgroups — C₁₃×#34288 #15720627

Order 3328.

3584 conjugacy classes of subgroups.

The subgroup lattice has 1198 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₃×#546	C₂	1	1	yes	maximal, characteristic
2	C₂×C₁₃×#520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₄×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₃×#2367	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₃×#2361	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2361	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₃×#2360	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₃×#2359	C₂	1	2	yes	maximal, complemented
9	C₁₃×#2358	C₂	1	2	yes	maximal, complemented
10	D₄×C₁₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×C₁₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₃×#2342	C₂	1	2	yes	maximal, complemented
13	C₁₃×#2339	C₂	1	1	yes	maximal, characteristic, complemented
14	D₄×C₁₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₃×#2326	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₃×#2325	C₂	1	2	yes	maximal, complemented
17	C₁₃×#2324	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₃×#2322	C₂	1	2	yes	maximal, complemented
19	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₃×#120	C₂	1	2	yes	maximal, complemented
21	C₁₃×#2290	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#385	C₂	1	2	yes	maximal, complemented
23	C₁₃×#2275	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
26	C₂⁴×C₄×C₁₃	C₂²	1	2	yes	—
27	C₁₃×#546	C₄	1	16	yes	complemented
28	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
29	C₂×C₁₃×#123	C₂²	1	2	yes	—
30	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
31	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
32	C₂×C₁₃×#121	C₂²	1	2	yes	—
33	C₂×C₁₃×#120	C₂²	1	2	yes	—
34	C₁₃×#520	—	2	8	no	—
35	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄×D₄×C₁₃	—	2	8	no	—
38	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
40	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
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	2	yes	complemented
50	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
51	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
52	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
54	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
56	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
58	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
59	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
60	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
61	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
62	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
63	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#390	C₂²	1	1	yes	characteristic
65	C₁₃×#390	C₂²	1	1	yes	characteristic
66	C₁₃×#390	C₂²	1	2	yes	complemented
67	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#389	C₂²	1	2	yes	complemented
69	C₁₃×#389	C₂²	1	2	yes	complemented
70	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
72	C₁₃×#388	C₂²	1	1	yes	characteristic, complemented
73	C₁₃×#388	C₂²	1	2	yes	complemented
74	C₁₃×#388	C₂²	1	2	yes	complemented
75	C₁₃×#388	C₂²	1	2	yes	complemented
76	C₁₃×#388	C₂²	1	2	yes	complemented
77	C₁₃×#388	C₂²	1	2	yes	complemented
78	C₁₃×#388	C₂²	1	2	yes	complemented
79	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
80	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
81	C₁₃×#387	C₂²	1	2	yes	complemented
82	C₁₃×#387	C₂²	1	2	yes	complemented
83	C₁₃×#386	C₂²	1	1	yes	characteristic
84	C₁₃×#386	C₂²	1	1	yes	characteristic
85	C₁₃×#386	C₂²	1	2	yes	—
86	C₁₃×#386	C₂²	1	2	yes	—
87	C₁₃×#386	C₂²	1	2	yes	complemented
88	C₁₃×#386	C₂²	1	2	yes	complemented
89	C₁₃×#386	C₂²	1	2	yes	complemented
90	C₁₃×#386	C₂²	1	2	yes	complemented
91	C₁₃×#385	C₂²	1	1	yes	characteristic
92	C₁₃×#385	C₂²	1	2	yes	—
93	C₁₃×#385	C₂²	1	2	yes	—
94	C₁₃×#385	C₂²	1	2	yes	—
95	C₁₃×#385	C₂²	1	1	yes	characteristic
96	C₁₃×#385	C₂²	1	2	yes	complemented
97	C₁₃×#385	C₂²	1	2	yes	complemented
98	C₁₃×#385	C₂²	1	2	yes	complemented
99	C₁₃×#385	C₂²	1	2	yes	complemented
100	C₁₃×#385	C₂²	1	2	yes	complemented
101	C₁₃×#385	C₂²	1	2	yes	complemented
102	C₁₃×#385	C₂²	1	2	yes	complemented
103	C₁₃×#385	C₂²	1	2	yes	complemented
104	C₁₃×#384	C₂²	1	1	yes	characteristic, complemented
105	C₁₃×#381	C₂²	1	2	yes	complemented
106	C₁₃×#380	C₂²	1	1	yes	characteristic
107	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
108	C₁₃×#380	C₂²	1	2	yes	complemented
109	C₁₃×#379	C₂²	1	2	yes	—
110	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
111	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
112	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
113	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
114	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
115	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
117	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
118	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
119	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
120	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
121	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
123	C₁₃×#376	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₁₃×#95	C₂²	1	2	yes	complemented
125	C₂×C₁₃×#95	C₂²	1	2	yes	complemented
126	C₂⁵×C₁₃	C₂³	1	2	yes	—
127	C₂×C₁₃×#41	—	2	4	no	—
128	C₂×C₁₃×#41	—	2	4	no	—
129	C₂×C₁₃×#41	C₂×C₄	1	8	yes	complemented
130	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃	—	2	4	no	—
132	C₂²×D₄×C₁₃	—	2	4	no	—
133	C₂²×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
134	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₂³×C₄×C₁₃	—	2	8	no	—
141	C₂³×C₄×C₁₃	—	4	4	no	—
142	C₂³×C₄×C₁₃	—	4	4	no	—
143	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
144	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
146	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
147	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
148	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
149	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
151	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
152	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
153	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
154	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
155	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
156	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
157	C₁₃×#124	C₂×C₄	1	8	yes	complemented
158	C₁₃×#123	C₂×C₄	1	16	yes	complemented
159	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
160	C₁₃×#121	C₂×C₄	1	8	yes	complemented
161	C₁₃×#121	C₂×C₄	1	16	yes	complemented
162	C₁₃×#120	C₂×C₄	1	16	yes	complemented
163	C₄×Q₈×C₁₃	—	2	4	no	—
164	C₄×Q₈×C₁₃	—	2	4	no	—
165	C₄×D₄×C₁₃	—	2	4	no	—
166	C₄×D₄×C₁₃	—	2	4	no	—
167	C₄×D₄×C₁₃	—	2	4	no	—
168	C₄×D₄×C₁₃	—	2	8	no	—
169	C₄×D₄×C₁₃	—	2	8	no	—
170	C₄×D₄×C₁₃	—	2	4	no	—
171	C₄×D₄×C₁₃	—	2	8	no	—
172	C₄×D₄×C₁₃	—	2	8	no	—
173	C₄×D₄×C₁₃	—	2	4	no	—
174	C₄×D₄×C₁₃	—	4	4	no	—
175	C₄×D₄×C₁₃	—	4	4	no	—
176	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
177	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
178	C₄×D₄×C₁₃	D₄	1	8	yes	complemented
179	C₁₃×#117	—	2	8	no	—
180	C₁₃×#117	—	2	4	no	—
181	C₂×C₁₃×C₄⋊C₄	—	2	8	no	—
182	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
183	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
184	C₂×C₁₃×C₄⋊C₄	—	4	4	no	—
185	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
186	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
187	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
188	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
189	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
190	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
191	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
192	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
193	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
194	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
196	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
200	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₂²⋊C₄	—	2	8	no	—
205	C₂×C₁₃×C₂²⋊C₄	—	4	4	no	—
206	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	16	yes	complemented
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂×C₄²×C₁₃	—	2	4	no	—
233	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
235	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
236	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
241	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
242	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
243	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
245	C₁₃×#95	C₂³	1	2	yes	—
246	C₁₃×#95	C₂³	1	2	yes	—
247	C₁₃×#95	C₂³	1	2	yes	—
248	C₁₃×#95	C₂³	1	2	yes	—
249	C₁₃×#95	C₂³	1	1	yes	characteristic
250	C₁₃×#95	C₂³	1	1	yes	characteristic
251	C₁₃×#95	C₂³	1	1	yes	characteristic
252	C₁₃×#95	C₂³	1	1	yes	characteristic
253	C₁₃×#95	C₂³	1	1	yes	characteristic
254	C₁₃×#95	C₂³	1	1	yes	characteristic
255	C₁₃×#95	C₂³	1	2	yes	—
256	C₁₃×#95	C₂³	1	2	yes	—
257	C₁₃×#95	C₂³	1	2	yes	—
258	C₁₃×#95	C₂³	1	2	yes	—
259	C₁₃×#95	C₂³	1	1	yes	characteristic
260	C₁₃×#95	C₂³	1	1	yes	characteristic
261	C₁₃×#95	C₂³	1	2	yes	—
262	C₁₃×#95	C₂³	1	1	yes	characteristic
263	C₁₃×#95	C₂³	1	2	yes	—
264	C₁₃×#95	C₂³	1	1	yes	characteristic
265	C₁₃×#95	C₂³	1	2	yes	—
266	#34288	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
267	C₂⁴×C₁₃	—	2	4	no	—
268	C₂⁴×C₁₃	—	2	4	no	—
269	C₂⁴×C₁₃	—	2	4	no	—
270	C₂⁴×C₁₃	—	2	4	no	—
271	C₂⁴×C₁₃	—	4	2	no	—
272	C₂⁴×C₁₃	—	4	2	no	—
273	C₂⁴×C₁₃	C₂²×C₄	1	8	yes	—
274	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
275	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
276	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
277	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
278	C₁₃×#41	—	2	32	no	—
279	C₂×Q₈×C₁₃	—	2	2	no	—
280	C₂×Q₈×C₁₃	—	2	2	no	—
281	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	complemented
282	C₂×D₄×C₁₃	—	2	4	no	—
283	C₂×D₄×C₁₃	—	2	4	no	—
284	C₂×D₄×C₁₃	—	2	4	no	—
285	C₂×D₄×C₁₃	—	2	4	no	—
286	C₂×D₄×C₁₃	—	2	2	no	—
287	C₂×D₄×C₁₃	—	2	2	no	—
288	C₂×D₄×C₁₃	—	2	32	no	—
289	C₂×D₄×C₁₃	—	2	2	no	—
290	C₂×D₄×C₁₃	—	2	2	no	—
291	C₂×D₄×C₁₃	—	4	2	no	—
292	C₂×D₄×C₁₃	—	4	2	no	—
293	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
294	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
295	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
296	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
297	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	complemented
298	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	complemented
299	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
300	C₂×D₄×C₁₃	#41	1	4	yes	—
301	C₂²×C₄×C₁₃	—	2	4	no	—
302	C₂²×C₄×C₁₃	—	2	4	no	—
303	C₂²×C₄×C₁₃	—	2	2	no	—
304	C₂²×C₄×C₁₃	—	2	2	no	—
305	C₂²×C₄×C₁₃	—	2	2	no	—
306	C₂²×C₄×C₁₃	—	2	2	no	—
307	C₂²×C₄×C₁₃	—	2	2	no	—
308	C₂²×C₄×C₁₃	—	2	2	no	—
309	C₂²×C₄×C₁₃	—	2	2	no	—
310	C₂²×C₄×C₁₃	—	2	4	no	—
311	C₂²×C₄×C₁₃	—	2	4	no	—
312	C₂²×C₄×C₁₃	—	2	2	no	—
313	C₂²×C₄×C₁₃	—	2	4	no	—
314	C₂²×C₄×C₁₃	—	2	4	no	—
315	C₂²×C₄×C₁₃	—	2	2	no	—
316	C₂²×C₄×C₁₃	—	2	4	no	—
317	C₂²×C₄×C₁₃	—	2	4	no	—
318	C₂²×C₄×C₁₃	—	2	4	no	—
319	C₂²×C₄×C₁₃	—	2	4	no	—
320	C₂²×C₄×C₁₃	—	2	4	no	—
321	C₂²×C₄×C₁₃	—	2	4	no	—
322	C₂²×C₄×C₁₃	—	4	2	no	—
323	C₂²×C₄×C₁₃	—	4	2	no	—
324	C₂²×C₄×C₁₃	—	4	2	no	—
325	C₂²×C₄×C₁₃	—	4	2	no	—
326	C₂²×C₄×C₁₃	—	4	2	no	—
327	C₂²×C₄×C₁₃	—	4	2	no	—
328	C₂²×C₄×C₁₃	—	4	2	no	—
329	C₂²×C₄×C₁₃	—	4	2	no	—
330	C₂²×C₄×C₁₃	—	4	1	no	—
331	C₂²×C₄×C₁₃	—	4	2	no	—
332	C₂²×C₄×C₁₃	—	4	2	no	—
333	C₂²×C₄×C₁₃	—	4	2	no	—
334	C₂²×C₄×C₁₃	—	4	2	no	—
335	C₂²×C₄×C₁₃	—	4	2	no	—
336	C₂²×C₄×C₁₃	—	4	2	no	—
337	C₂²×C₄×C₁₃	—	4	2	no	—
338	C₂²×C₄×C₁₃	—	4	32	no	—
339	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
340	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	complemented
341	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	complemented
342	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	complemented
343	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	—
344	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
348	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
350	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
352	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
354	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
355	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
361	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₁₃×C₄⋊C₄	—	2	2	no	—
364	C₁₃×C₄⋊C₄	—	2	4	no	—
365	C₁₃×C₄⋊C₄	—	2	4	no	—
366	C₁₃×C₄⋊C₄	—	2	2	no	—
367	C₁₃×C₄⋊C₄	—	2	4	no	—
368	C₁₃×C₄⋊C₄	—	2	4	no	—
369	C₁₃×C₄⋊C₄	—	2	2	no	—
370	C₁₃×C₄⋊C₄	—	2	2	no	—
371	C₁₃×C₄⋊C₄	—	2	2	no	—
372	C₁₃×C₄⋊C₄	—	2	2	no	—
373	C₁₃×C₄⋊C₄	—	2	4	no	—
374	C₁₃×C₄⋊C₄	—	4	2	no	—
375	C₁₃×C₄⋊C₄	—	4	2	no	—
376	C₁₃×C₄⋊C₄	—	4	1	no	—
377	C₁₃×C₄⋊C₄	—	4	2	no	—
378	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
379	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
380	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
381	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
382	C₁₃×C₂²⋊C₄	—	2	4	no	—
383	C₁₃×C₂²⋊C₄	—	2	4	no	—
384	C₁₃×C₂²⋊C₄	—	2	4	no	—
385	C₁₃×C₂²⋊C₄	—	2	2	no	—
386	C₁₃×C₂²⋊C₄	—	2	4	no	—
387	C₁₃×C₂²⋊C₄	—	2	2	no	—
388	C₁₃×C₂²⋊C₄	—	2	4	no	—
389	C₁₃×C₂²⋊C₄	—	2	4	no	—
390	C₁₃×C₂²⋊C₄	—	2	2	no	—
391	C₁₃×C₂²⋊C₄	—	2	2	no	—
392	C₁₃×C₂²⋊C₄	—	2	2	no	—
393	C₁₃×C₂²⋊C₄	—	4	2	no	—
394	C₁₃×C₂²⋊C₄	—	4	2	no	—
395	C₁₃×C₂²⋊C₄	—	4	2	no	—
396	C₁₃×C₂²⋊C₄	—	4	1	no	—
397	C₁₃×C₂²⋊C₄	—	4	2	no	—
398	C₁₃×C₂²⋊C₄	—	4	2	no	—
399	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
400	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
401	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
402	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
403	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
404	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
405	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
406	C₁₃×C₂²⋊C₄	C₂×D₄	1	8	yes	—
407	C₄²×C₁₃	—	2	2	no	—
408	C₄²×C₁₃	—	2	2	no	—
409	C₄²×C₁₃	—	2	2	no	—
410	C₄²×C₁₃	—	2	4	no	—
411	C₄²×C₁₃	—	2	4	no	—
412	C₄²×C₁₃	—	2	2	no	—
413	C₄²×C₁₃	—	2	2	no	—
414	C₄²×C₁₃	—	4	2	no	—
415	C₄²×C₁₃	—	4	2	no	—
416	C₄²×C₁₃	—	4	2	no	—
417	C₄²×C₁₃	C₂²×C₄	1	4	yes	complemented
418	C₄²×C₁₃	C₂×D₄	1	4	yes	—
419	C₂×#546	C₂×C₁₃	1	1	yes	characteristic
420	C₂×#520	C₂×C₁₃	1	1	yes	characteristic, complemented
421	C₂²×C₄×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
422	#2367	C₂×C₁₃	1	1	yes	characteristic, complemented
423	#2361	C₂×C₁₃	1	2	yes	complemented
424	#2361	C₂×C₁₃	1	1	yes	characteristic, complemented
425	#2360	C₂×C₁₃	1	1	yes	characteristic, complemented
426	#2359	C₂×C₁₃	1	2	yes	complemented
427	#2358	C₂×C₁₃	1	2	yes	complemented
428	D₄×C₄⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
429	D₄×C₄⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
430	#2342	C₂×C₁₃	1	2	yes	complemented
431	#2339	C₂×C₁₃	1	1	yes	characteristic, complemented
432	D₄×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
433	#2326	C₂×C₁₃	1	1	yes	characteristic, complemented
434	#2325	C₂×C₁₃	1	2	yes	complemented
435	#2324	C₂×C₁₃	1	1	yes	characteristic, complemented
436	#2322	C₂×C₁₃	1	2	yes	complemented
437	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
438	C₄×#120	C₂×C₁₃	1	2	yes	complemented
439	#2290	C₂×C₁₃	1	1	yes	characteristic, complemented
440	C₂×#385	C₂×C₁₃	1	2	yes	complemented
441	#2275	C₂×C₁₃	1	1	yes	characteristic, complemented
442	C₂³×C₁₃	—	2	1	no	—
443	C₂³×C₁₃	—	2	1	no	—
444	C₂³×C₁₃	—	2	2	no	—
445	C₂³×C₁₃	—	2	1	no	—
446	C₂³×C₁₃	—	2	2	no	—
447	C₂³×C₁₃	—	2	2	no	—
448	C₂³×C₁₃	—	2	2	no	—
449	C₂³×C₁₃	—	2	1	no	—
450	C₂³×C₁₃	—	2	16	no	—
451	C₂³×C₁₃	—	2	16	no	—
452	C₂³×C₁₃	—	2	1	no	—
453	C₂³×C₁₃	—	2	2	no	—
454	C₂³×C₁₃	—	2	1	no	—
455	C₂³×C₁₃	—	2	2	no	—
456	C₂³×C₁₃	—	2	1	no	—
457	C₂³×C₁₃	—	2	1	no	—
458	C₂³×C₁₃	—	2	2	no	—
459	C₂³×C₁₃	—	2	2	no	—
460	C₂³×C₁₃	—	2	1	no	—
461	C₂³×C₁₃	—	2	2	no	—
462	C₂³×C₁₃	—	2	1	no	—
463	C₂³×C₁₃	—	2	2	no	—
464	C₂³×C₁₃	—	4	8	no	—
465	C₂³×C₁₃	—	4	8	no	—
466	C₂³×C₁₃	—	4	8	no	—
467	C₂³×C₁₃	—	4	8	no	—
468	C₂³×C₁₃	—	4	8	no	—
469	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
470	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
471	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
472	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
473	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
474	C₂³×C₁₃	C₂×#41	1	4	yes	—
475	C₂³×C₁₃	H(5,𝔽₂)	1	2	yes	—
476	C₂³×C₁₃	2₋¹⁺⁴	1	2	yes	—
477	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
478	Q₈×C₁₃	—	2	8	no	—
479	D₄×C₁₃	—	2	16	no	—
480	D₄×C₁₃	—	2	16	no	—
481	D₄×C₁₃	—	2	8	no	—
482	D₄×C₁₃	—	2	8	no	—
483	D₄×C₁₃	—	4	8	no	—
484	D₄×C₁₃	C₄×D₄	1	16	yes	complemented
485	C₂×C₄×C₁₃	—	2	8	no	—
486	C₂×C₄×C₁₃	—	2	16	no	—
487	C₂×C₄×C₁₃	—	2	1	no	—
488	C₂×C₄×C₁₃	—	2	2	no	—
489	C₂×C₄×C₁₃	—	2	1	no	—
490	C₂×C₄×C₁₃	—	2	1	no	—
491	C₂×C₄×C₁₃	—	2	1	no	—
492	C₂×C₄×C₁₃	—	2	1	no	—
493	C₂×C₄×C₁₃	—	2	2	no	—
494	C₂×C₄×C₁₃	—	2	1	no	—
495	C₂×C₄×C₁₃	—	2	2	no	—
496	C₂×C₄×C₁₃	—	2	2	no	—
497	C₂×C₄×C₁₃	—	2	2	no	—
498	C₂×C₄×C₁₃	—	2	1	no	—
499	C₂×C₄×C₁₃	—	2	1	no	—
500	C₂×C₄×C₁₃	—	2	1	no	—
501	C₂×C₄×C₁₃	—	2	1	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	1	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	2	no	—
506	C₂×C₄×C₁₃	—	2	1	no	—
507	C₂×C₄×C₁₃	—	2	8	no	—
508	C₂×C₄×C₁₃	—	2	8	no	—
509	C₂×C₄×C₁₃	—	2	1	no	—
510	C₂×C₄×C₁₃	—	2	1	no	—
511	C₂×C₄×C₁₃	—	2	2	no	—
512	C₂×C₄×C₁₃	—	2	1	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	1	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	2	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	2	no	—
519	C₂×C₄×C₁₃	—	2	1	no	—
520	C₂×C₄×C₁₃	—	2	1	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	2	no	—
523	C₂×C₄×C₁₃	—	2	2	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	2	2	no	—
526	C₂×C₄×C₁₃	—	2	1	no	—
527	C₂×C₄×C₁₃	—	2	1	no	—
528	C₂×C₄×C₁₃	—	2	1	no	—
529	C₂×C₄×C₁₃	—	2	2	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	1	no	—
532	C₂×C₄×C₁₃	—	2	1	no	—
533	C₂×C₄×C₁₃	—	4	8	no	—
534	C₂×C₄×C₁₃	—	4	8	no	—
535	C₂×C₄×C₁₃	—	4	8	no	—
536	C₂×C₄×C₁₃	—	4	4	no	—
537	C₂×C₄×C₁₃	—	4	8	no	—
538	C₂×C₄×C₁₃	—	4	8	no	—
539	C₂×C₄×C₁₃	—	4	8	no	—
540	C₂×C₄×C₁₃	—	8	4	no	—
541	C₂×C₄×C₁₃	—	8	4	no	—
542	C₂×C₄×C₁₃	—	8	4	no	—
543	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
544	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
545	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
546	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
547	C₂×C₄×C₁₃	C₂³×C₄	1	4	yes	—
548	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
549	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
550	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
551	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
552	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
553	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
554	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
555	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
556	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
557	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
558	C₂⁴×C₄	C₂²×C₁₃	1	2	yes	—
559	#546	C₄×C₁₃	1	16	yes	complemented
560	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
561	C₂×#123	C₂²×C₁₃	1	2	yes	—
562	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
563	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
564	C₂×#121	C₂²×C₁₃	1	2	yes	—
565	C₂×#120	C₂²×C₁₃	1	2	yes	—
566	#520	—	2	8	no	—
567	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
568	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
569	C₂×C₄×D₄	—	2	8	no	—
570	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
571	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
572	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
573	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
574	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
575	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
576	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
577	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
578	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
579	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
580	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
581	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
582	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
583	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
584	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
585	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
586	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
587	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
588	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
589	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
590	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
591	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
592	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
593	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
594	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
595	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	#390	C₂²×C₁₃	1	1	yes	characteristic
597	#390	C₂²×C₁₃	1	1	yes	characteristic
598	#390	C₂²×C₁₃	1	2	yes	complemented
599	#389	C₂²×C₁₃	1	2	yes	complemented
600	#389	C₂²×C₁₃	1	2	yes	complemented
601	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	#388	C₂²×C₁₃	1	2	yes	complemented
604	#388	C₂²×C₁₃	1	2	yes	complemented
605	#388	C₂²×C₁₃	1	2	yes	complemented
606	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#388	C₂²×C₁₃	1	2	yes	complemented
608	#388	C₂²×C₁₃	1	2	yes	complemented
609	#388	C₂²×C₁₃	1	2	yes	complemented
610	#388	C₂²×C₁₃	1	1	yes	characteristic, complemented
611	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
612	#387	C₂²×C₁₃	1	2	yes	complemented
613	#387	C₂²×C₁₃	1	2	yes	complemented
614	#387	C₂²×C₁₃	1	1	yes	characteristic, complemented
615	#386	C₂²×C₁₃	1	2	yes	—
616	#386	C₂²×C₁₃	1	2	yes	—
617	#386	C₂²×C₁₃	1	1	yes	characteristic
618	#386	C₂²×C₁₃	1	1	yes	characteristic
619	#386	C₂²×C₁₃	1	2	yes	complemented
620	#386	C₂²×C₁₃	1	2	yes	complemented
621	#386	C₂²×C₁₃	1	2	yes	complemented
622	#386	C₂²×C₁₃	1	2	yes	complemented
623	#385	C₂²×C₁₃	1	1	yes	characteristic
624	#385	C₂²×C₁₃	1	2	yes	—
625	#385	C₂²×C₁₃	1	2	yes	—
626	#385	C₂²×C₁₃	1	1	yes	characteristic
627	#385	C₂²×C₁₃	1	2	yes	—
628	#385	C₂²×C₁₃	1	2	yes	complemented
629	#385	C₂²×C₁₃	1	2	yes	complemented
630	#385	C₂²×C₁₃	1	2	yes	complemented
631	#385	C₂²×C₁₃	1	2	yes	complemented
632	#385	C₂²×C₁₃	1	2	yes	complemented
633	#385	C₂²×C₁₃	1	2	yes	complemented
634	#385	C₂²×C₁₃	1	2	yes	complemented
635	#385	C₂²×C₁₃	1	2	yes	complemented
636	#384	C₂²×C₁₃	1	1	yes	characteristic, complemented
637	#381	C₂²×C₁₃	1	2	yes	complemented
638	#380	C₂²×C₁₃	1	1	yes	characteristic
639	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	#380	C₂²×C₁₃	1	2	yes	complemented
641	#379	C₂²×C₁₃	1	2	yes	—
642	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
646	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
648	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
649	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
650	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
651	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
653	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
654	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
655	#376	C₂²×C₁₃	1	1	yes	characteristic, complemented
656	C₂×#95	C₂²×C₁₃	1	2	yes	complemented
657	C₂×#95	C₂²×C₁₃	1	2	yes	complemented
658	C₂²×C₁₃	—	2	2	no	—
659	C₂²×C₁₃	—	2	4	no	—
660	C₂²×C₁₃	—	2	4	no	—
661	C₂²×C₁₃	—	2	2	no	—
662	C₂²×C₁₃	—	2	2	no	—
663	C₂²×C₁₃	—	2	4	no	—
664	C₂²×C₁₃	—	2	2	no	—
665	C₂²×C₁₃	—	2	4	no	—
666	C₂²×C₁₃	—	2	4	no	—
667	C₂²×C₁₃	—	2	2	no	—
668	C₂²×C₁₃	—	2	2	no	—
669	C₂²×C₁₃	—	2	4	no	—
670	C₂²×C₁₃	—	2	2	no	—
671	C₂²×C₁₃	—	2	4	no	—
672	C₂²×C₁₃	—	2	2	no	—
673	C₂²×C₁₃	—	2	4	no	—
674	C₂²×C₁₃	—	2	2	no	—
675	C₂²×C₁₃	—	2	4	no	—
676	C₂²×C₁₃	—	4	32	no	—
677	C₂²×C₁₃	—	4	2	no	—
678	C₂²×C₁₃	—	4	1	no	—
679	C₂²×C₁₃	—	4	1	no	—
680	C₂²×C₁₃	—	4	2	no	—
681	C₂²×C₁₃	—	4	1	no	—
682	C₂²×C₁₃	—	4	2	no	—
683	C₂²×C₁₃	—	4	1	no	—
684	C₂²×C₁₃	—	4	2	no	—
685	C₂²×C₁₃	C₂×C₄×D₄	1	8	yes	—
686	C₂²×C₁₃	#520	1	4	yes	complemented
687	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
688	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
689	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
690	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
691	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
692	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
693	C₂²×C₁₃	#585	1	1	yes	characteristic
694	C₄×C₁₃	—	2	2	no	—
695	C₄×C₁₃	—	2	2	no	—
696	C₄×C₁₃	—	2	4	no	—
697	C₄×C₁₃	—	2	2	no	—
698	C₄×C₁₃	—	2	2	no	—
699	C₄×C₁₃	—	2	4	no	—
700	C₄×C₁₃	—	2	2	no	—
701	C₄×C₁₃	—	2	2	no	—
702	C₄×C₁₃	—	2	4	no	—
703	C₄×C₁₃	—	2	2	no	—
704	C₄×C₁₃	—	4	2	no	—
705	C₄×C₁₃	—	4	1	no	—
706	C₄×C₁₃	—	4	2	no	—
707	C₄×C₁₃	—	4	1	no	—
708	C₄×C₁₃	—	4	1	no	—
709	C₄×C₁₃	—	4	2	no	—
710	C₄×C₁₃	—	4	1	no	—
711	C₄×C₁₃	—	4	1	no	—
712	C₄×C₁₃	C₂×C₄×D₄	1	4	yes	—
713	C₂⁵	C₂³×C₁₃	1	2	yes	—
714	C₂×#41	—	2	4	no	—
715	C₂×#41	—	2	4	no	—
716	C₂×#41	C₂×C₄×C₁₃	1	8	yes	complemented
717	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
718	C₂²×D₄	—	2	4	no	—
719	C₂²×D₄	—	2	4	no	—
720	C₂²×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
721	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
722	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
723	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
724	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
725	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
726	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
727	C₂³×C₄	—	2	8	no	—
728	C₂³×C₄	—	4	4	no	—
729	C₂³×C₄	—	4	4	no	—
730	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
731	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
732	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
733	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
734	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
735	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
736	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
737	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
738	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
739	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
740	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
741	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
742	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
743	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
744	#124	C₂×C₄×C₁₃	1	8	yes	complemented
745	#123	C₂×C₄×C₁₃	1	16	yes	complemented
746	C₂²⋊Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
747	#121	C₂×C₄×C₁₃	1	8	yes	complemented
748	#121	C₂×C₄×C₁₃	1	16	yes	complemented
749	#120	C₂×C₄×C₁₃	1	16	yes	complemented
750	C₄×Q₈	—	2	4	no	—
751	C₄×Q₈	—	2	4	no	—
752	C₄×D₄	—	2	4	no	—
753	C₄×D₄	—	2	4	no	—
754	C₄×D₄	—	2	4	no	—
755	C₄×D₄	—	2	8	no	—
756	C₄×D₄	—	2	8	no	—
757	C₄×D₄	—	2	4	no	—
758	C₄×D₄	—	2	8	no	—
759	C₄×D₄	—	2	8	no	—
760	C₄×D₄	—	2	4	no	—
761	C₄×D₄	—	4	4	no	—
762	C₄×D₄	—	4	4	no	—
763	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
764	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
765	C₄×D₄	D₄×C₁₃	1	8	yes	complemented
766	#117	—	2	8	no	—
767	#117	—	2	4	no	—
768	C₂×C₄⋊C₄	—	2	8	no	—
769	C₂×C₄⋊C₄	—	2	4	no	—
770	C₂×C₄⋊C₄	—	2	4	no	—
771	C₂×C₄⋊C₄	—	4	4	no	—
772	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
773	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
774	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
776	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
779	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
780	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
781	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
784	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
785	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
786	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
787	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
788	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
789	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
790	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
791	C₂×C₂²⋊C₄	—	2	8	no	—
792	C₂×C₂²⋊C₄	—	4	4	no	—
793	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	16	yes	complemented
794	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
796	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
797	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
798	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
799	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
801	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
802	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
803	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
804	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
806	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
807	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
808	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
809	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
810	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
812	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
813	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
816	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
817	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
818	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
819	C₂×C₄²	—	2	4	no	—
820	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
821	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
822	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
823	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
824	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
825	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
826	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
827	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
828	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
829	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
830	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
831	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
832	#95	C₂³×C₁₃	1	1	yes	characteristic
833	#95	C₂³×C₁₃	1	1	yes	characteristic
834	#95	C₂³×C₁₃	1	2	yes	—
835	#95	C₂³×C₁₃	1	2	yes	—
836	#95	C₂³×C₁₃	1	2	yes	—
837	#95	C₂³×C₁₃	1	2	yes	—
838	#95	C₂³×C₁₃	1	2	yes	—
839	#95	C₂³×C₁₃	1	2	yes	—
840	#95	C₂³×C₁₃	1	1	yes	characteristic
841	#95	C₂³×C₁₃	1	1	yes	characteristic
842	#95	C₂³×C₁₃	1	1	yes	characteristic
843	#95	C₂³×C₁₃	1	2	yes	—
844	#95	C₂³×C₁₃	1	2	yes	—
845	#95	C₂³×C₁₃	1	2	yes	—
846	#95	C₂³×C₁₃	1	2	yes	—
847	#95	C₂³×C₁₃	1	1	yes	characteristic
848	#95	C₂³×C₁₃	1	1	yes	characteristic
849	#95	C₂³×C₁₃	1	1	yes	characteristic
850	#95	C₂³×C₁₃	1	1	yes	characteristic
851	#95	C₂³×C₁₃	1	2	yes	—
852	#95	C₂³×C₁₃	1	1	yes	characteristic
853	C₂×C₁₃	—	2	4	no	—
854	C₂×C₁₃	—	2	8	no	—
855	C₂×C₁₃	—	4	2	no	—
856	C₂×C₁₃	—	4	4	no	—
857	C₂×C₁₃	C₂²×C₄×D₄	1	1	yes	characteristic
858	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
859	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
860	C₂×C₁₃	#3484	1	1	yes	characteristic
861	C₂×C₁₃	#3489	1	1	yes	characteristic
862	C₂×C₁₃	#3513	1	1	yes	characteristic
863	C₂×C₁₃	#3520	1	1	yes	characteristic
864	C₂⁴	—	2	4	no	—
865	C₂⁴	—	2	4	no	—
866	C₂⁴	—	2	4	no	—
867	C₂⁴	—	2	4	no	—
868	C₂⁴	—	4	2	no	—
869	C₂⁴	—	4	2	no	—
870	C₂⁴	C₂²×C₄×C₁₃	1	8	yes	—
871	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
872	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
873	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
874	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
875	#41	—	2	32	no	—
876	C₂×Q₈	—	2	2	no	—
877	C₂×Q₈	—	2	2	no	—
878	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	complemented
879	C₂×D₄	—	2	4	no	—
880	C₂×D₄	—	2	4	no	—
881	C₂×D₄	—	2	4	no	—
882	C₂×D₄	—	2	4	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	32	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	—	4	2	no	—
889	C₂×D₄	—	4	2	no	—
890	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
891	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
892	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
893	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
894	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	complemented
895	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	complemented
896	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
897	C₂×D₄	C₁₃×#41	1	4	yes	—
898	C₂²×C₄	—	2	4	no	—
899	C₂²×C₄	—	2	4	no	—
900	C₂²×C₄	—	2	2	no	—
901	C₂²×C₄	—	2	2	no	—
902	C₂²×C₄	—	2	2	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	2	no	—
906	C₂²×C₄	—	2	2	no	—
907	C₂²×C₄	—	2	4	no	—
908	C₂²×C₄	—	2	4	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	4	no	—
911	C₂²×C₄	—	2	4	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	4	no	—
914	C₂²×C₄	—	2	4	no	—
915	C₂²×C₄	—	2	4	no	—
916	C₂²×C₄	—	2	4	no	—
917	C₂²×C₄	—	2	4	no	—
918	C₂²×C₄	—	2	4	no	—
919	C₂²×C₄	—	4	2	no	—
920	C₂²×C₄	—	4	2	no	—
921	C₂²×C₄	—	4	2	no	—
922	C₂²×C₄	—	4	2	no	—
923	C₂²×C₄	—	4	2	no	—
924	C₂²×C₄	—	4	2	no	—
925	C₂²×C₄	—	4	2	no	—
926	C₂²×C₄	—	4	2	no	—
927	C₂²×C₄	—	4	1	no	—
928	C₂²×C₄	—	4	2	no	—
929	C₂²×C₄	—	4	2	no	—
930	C₂²×C₄	—	4	2	no	—
931	C₂²×C₄	—	4	2	no	—
932	C₂²×C₄	—	4	2	no	—
933	C₂²×C₄	—	4	2	no	—
934	C₂²×C₄	—	4	2	no	—
935	C₂²×C₄	—	4	32	no	—
936	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
937	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
938	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
939	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
940	C₂²×C₄	C₂×D₄×C₁₃	1	8	yes	—
941	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
942	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
943	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
944	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
945	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
946	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
947	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
948	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
949	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
950	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
951	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
952	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
953	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
954	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
955	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
956	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
957	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
958	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
959	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₄⋊C₄	—	2	2	no	—
961	C₄⋊C₄	—	2	4	no	—
962	C₄⋊C₄	—	2	4	no	—
963	C₄⋊C₄	—	2	2	no	—
964	C₄⋊C₄	—	2	4	no	—
965	C₄⋊C₄	—	2	4	no	—
966	C₄⋊C₄	—	2	2	no	—
967	C₄⋊C₄	—	2	2	no	—
968	C₄⋊C₄	—	2	2	no	—
969	C₄⋊C₄	—	2	2	no	—
970	C₄⋊C₄	—	2	4	no	—
971	C₄⋊C₄	—	4	2	no	—
972	C₄⋊C₄	—	4	2	no	—
973	C₄⋊C₄	—	4	2	no	—
974	C₄⋊C₄	—	4	1	no	—
975	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
976	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
977	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
978	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
979	C₂²⋊C₄	—	2	4	no	—
980	C₂²⋊C₄	—	2	4	no	—
981	C₂²⋊C₄	—	2	4	no	—
982	C₂²⋊C₄	—	2	2	no	—
983	C₂²⋊C₄	—	2	4	no	—
984	C₂²⋊C₄	—	2	2	no	—
985	C₂²⋊C₄	—	2	4	no	—
986	C₂²⋊C₄	—	2	4	no	—
987	C₂²⋊C₄	—	2	2	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	2	no	—
990	C₂²⋊C₄	—	4	2	no	—
991	C₂²⋊C₄	—	4	2	no	—
992	C₂²⋊C₄	—	4	2	no	—
993	C₂²⋊C₄	—	4	2	no	—
994	C₂²⋊C₄	—	4	2	no	—
995	C₂²⋊C₄	—	4	1	no	—
996	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
997	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
998	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
999	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
1000	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
1001	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
1002	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
1003	C₂²⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
1004	C₄²	—	2	2	no	—
1005	C₄²	—	2	2	no	—
1006	C₄²	—	2	2	no	—
1007	C₄²	—	2	4	no	—
1008	C₄²	—	2	4	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	2	no	—
1011	C₄²	—	4	2	no	—
1012	C₄²	—	4	2	no	—
1013	C₄²	—	4	2	no	—
1014	C₄²	C₂²×C₄×C₁₃	1	4	yes	complemented
1015	C₄²	C₂×D₄×C₁₃	1	4	yes	—
1016	C₁₃	#34288	1	1	yes	characteristic, direct product factor, Sylow
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	1	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	1	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	2	2	no	—
1023	C₂³	—	2	2	no	—
1024	C₂³	—	2	1	no	—
1025	C₂³	—	2	16	no	—
1026	C₂³	—	2	16	no	—
1027	C₂³	—	2	1	no	—
1028	C₂³	—	2	2	no	—
1029	C₂³	—	2	1	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	—	2	1	no	—
1032	C₂³	—	2	1	no	—
1033	C₂³	—	2	2	no	—
1034	C₂³	—	2	2	no	—
1035	C₂³	—	2	1	no	—
1036	C₂³	—	2	2	no	—
1037	C₂³	—	2	1	no	—
1038	C₂³	—	2	2	no	—
1039	C₂³	—	4	8	no	—
1040	C₂³	—	4	8	no	—
1041	C₂³	—	4	8	no	—
1042	C₂³	—	4	8	no	—
1043	C₂³	—	4	8	no	—
1044	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
1045	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1046	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
1047	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1048	C₂³	C₂²×D₄×C₁₃	1	4	yes	—
1049	C₂³	C₂×C₁₃×#41	1	4	yes	—
1050	C₂³	C₁₃×H(5,𝔽₂)	1	2	yes	—
1051	C₂³	C₁₃×2₋¹⁺⁴	1	2	yes	—
1052	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1053	Q₈	—	2	8	no	—
1054	D₄	—	2	16	no	—
1055	D₄	—	2	16	no	—
1056	D₄	—	2	8	no	—
1057	D₄	—	2	8	no	—
1058	D₄	—	4	8	no	—
1059	D₄	C₄×D₄×C₁₃	1	16	yes	complemented
1060	C₂×C₄	—	2	8	no	—
1061	C₂×C₄	—	2	16	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	2	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	2	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	8	no	—
1083	C₂×C₄	—	2	8	no	—
1084	C₂×C₄	—	2	1	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	2	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	2	no	—
1094	C₂×C₄	—	2	1	no	—
1095	C₂×C₄	—	2	1	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	1	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	1	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	4	8	no	—
1109	C₂×C₄	—	4	8	no	—
1110	C₂×C₄	—	4	8	no	—
1111	C₂×C₄	—	4	8	no	—
1112	C₂×C₄	—	4	8	no	—
1113	C₂×C₄	—	4	4	no	—
1114	C₂×C₄	—	4	8	no	—
1115	C₂×C₄	—	8	4	no	—
1116	C₂×C₄	—	8	4	no	—
1117	C₂×C₄	—	8	4	no	—
1118	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1119	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1120	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
1121	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1122	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
1123	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1124	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1125	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1126	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1127	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
1128	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1129	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1130	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	4	no	—
1133	C₂²	—	2	2	no	—
1134	C₂²	—	2	4	no	—
1135	C₂²	—	2	4	no	—
1136	C₂²	—	2	2	no	—
1137	C₂²	—	2	2	no	—
1138	C₂²	—	2	4	no	—
1139	C₂²	—	2	2	no	—
1140	C₂²	—	2	4	no	—
1141	C₂²	—	2	4	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	4	no	—
1145	C₂²	—	2	2	no	—
1146	C₂²	—	2	4	no	—
1147	C₂²	—	2	2	no	—
1148	C₂²	—	2	4	no	—
1149	C₂²	—	4	32	no	—
1150	C₂²	—	4	1	no	—
1151	C₂²	—	4	2	no	—
1152	C₂²	—	4	2	no	—
1153	C₂²	—	4	1	no	—
1154	C₂²	—	4	1	no	—
1155	C₂²	—	4	2	no	—
1156	C₂²	—	4	1	no	—
1157	C₂²	—	4	2	no	—
1158	C₂²	C₂×C₄×D₄×C₁₃	1	8	yes	—
1159	C₂²	C₁₃×#520	1	4	yes	complemented
1160	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
1161	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1162	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1163	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1164	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1165	C₂²	C₂×C₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1166	C₂²	C₁₃×#585	1	1	yes	characteristic
1167	C₄	—	2	2	no	—
1168	C₄	—	2	2	no	—
1169	C₄	—	2	4	no	—
1170	C₄	—	2	2	no	—
1171	C₄	—	2	2	no	—
1172	C₄	—	2	4	no	—
1173	C₄	—	2	2	no	—
1174	C₄	—	2	2	no	—
1175	C₄	—	2	4	no	—
1176	C₄	—	2	2	no	—
1177	C₄	—	4	1	no	—
1178	C₄	—	4	2	no	—
1179	C₄	—	4	1	no	—
1180	C₄	—	4	2	no	—
1181	C₄	—	4	1	no	—
1182	C₄	—	4	1	no	—
1183	C₄	—	4	2	no	—
1184	C₄	—	4	1	no	—
1185	C₄	C₂×C₄×D₄×C₁₃	1	4	yes	—
1186	C₂	—	2	4	no	—
1187	C₂	—	2	8	no	—
1188	C₂	—	4	4	no	—
1189	C₂	—	4	2	no	—
1190	C₂	C₂²×C₄×D₄×C₁₃	1	1	yes	characteristic
1191	C₂	C₂×C₁₃×#520	1	1	yes	characteristic
1192	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1193	C₂	C₁₃×#3484	1	1	yes	characteristic
1194	C₂	C₁₃×#3489	1	1	yes	characteristic
1195	C₂	C₁₃×#3513	1	1	yes	characteristic
1196	C₂	C₁₃×#3520	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₃
Frattini, cosocle	C₂³	C₂⁵×C₁₃
prime radical	C₂×C₁₃×#546	C₂
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₁₃×#520	C₂	semidirect
3. C₂²×C₄×D₄×C₁₃	C₂	semidirect
4. C₁₃×#2367	C₂	semidirect
5. C₁₃×#2361	C₂	semidirect
6. C₁₃×#2361	C₂	semidirect
7. C₁₃×#2360	C₂	semidirect
8. C₁₃×#2359	C₂	semidirect
9. C₁₃×#2358	C₂	semidirect
10. D₄×C₁₃×C₄⋊C₄	C₂	semidirect
11. D₄×C₁₃×C₄⋊C₄	C₂	semidirect
12. C₁₃×#2342	C₂	semidirect
13. C₁₃×#2339	C₂	semidirect
14. D₄×C₁₃×C₂²⋊C₄	C₂	semidirect
15. C₁₃×#2326	C₂	semidirect
16. C₁₃×#2325	C₂	semidirect
17. C₁₃×#2324	C₂	semidirect
18. C₁₃×#2322	C₂	semidirect
19. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
20. C₄×C₁₃×#120	C₂	semidirect
21. C₁₃×#2290	C₂	semidirect
22. C₂×C₁₃×#385	C₂	semidirect
23. C₁₃×#2275	C₂	semidirect
27. C₁₃×#546	C₄	semidirect
35. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
36. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
49. C₂×C₄×D₄×C₁₃	C₂²	semidirect
50. C₂×C₄×D₄×C₁₃	C₂²	semidirect
51. C₂×C₄×D₄×C₁₃	C₂²	semidirect
52. C₂×C₁₃×#117	C₂²	semidirect
53. C₂×C₁₃×#117	C₂²	semidirect
55. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
56. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
57. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
62. C₁₃×#391	C₂²	semidirect
63. C₁₃×#391	C₂²	semidirect
66. C₁₃×#390	C₂²	semidirect
67. C₁₃×#389	C₂²	semidirect
68. C₁₃×#389	C₂²	semidirect
69. C₁₃×#389	C₂²	semidirect
70. C₁₃×#389	C₂²	semidirect
71. C₁₃×#388	C₂²	semidirect
72. C₁₃×#388	C₂²	semidirect
73. C₁₃×#388	C₂²	semidirect
74. C₁₃×#388	C₂²	semidirect
75. C₁₃×#388	C₂²	semidirect
76. C₁₃×#388	C₂²	semidirect
77. C₁₃×#388	C₂²	semidirect
78. C₁₃×#388	C₂²	semidirect
79. C₁₃×#387	C₂²	semidirect
80. C₁₃×#387	C₂²	semidirect
81. C₁₃×#387	C₂²	semidirect
82. C₁₃×#387	C₂²	semidirect
87. C₁₃×#386	C₂²	semidirect
88. C₁₃×#386	C₂²	semidirect
89. C₁₃×#386	C₂²	semidirect
90. C₁₃×#386	C₂²	semidirect
96. C₁₃×#385	C₂²	semidirect
97. C₁₃×#385	C₂²	semidirect
98. C₁₃×#385	C₂²	semidirect
99. C₁₃×#385	C₂²	semidirect
100. C₁₃×#385	C₂²	semidirect
101. C₁₃×#385	C₂²	semidirect
102. C₁₃×#385	C₂²	semidirect
103. C₁₃×#385	C₂²	semidirect
104. C₁₃×#384	C₂²	semidirect
105. C₁₃×#381	C₂²	semidirect
107. C₁₃×#380	C₂²	semidirect
108. C₁₃×#380	C₂²	semidirect
110. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
111. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
112. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
113. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
114. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
118. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
119. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
120. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
121. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
122. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
123. C₁₃×#376	C₂²	semidirect
124. C₂×C₁₃×#95	C₂²	semidirect
125. C₂×C₁₃×#95	C₂²	semidirect
129. C₂×C₁₃×#41	C₂×C₄	semidirect
133. C₂²×D₄×C₁₃	C₂×C₄	semidirect
157. C₁₃×#124	C₂×C₄	semidirect
158. C₁₃×#123	C₂×C₄	semidirect
159. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
160. C₁₃×#121	C₂×C₄	semidirect
161. C₁₃×#121	C₂×C₄	semidirect
162. C₁₃×#120	C₂×C₄	semidirect
176. C₄×D₄×C₁₃	C₂×C₄	semidirect
177. C₄×D₄×C₁₃	C₂×C₄	semidirect
178. C₄×D₄×C₁₃	D₄	semidirect
206. C₂×C₁₃×C₂²⋊C₄	C₂×C₄	semidirect
266. #34288	C₁₃	direct (N × H)
281. C₂×Q₈×C₁₃	C₂²×C₄	semidirect
297. C₂×D₄×C₁₃	C₂²×C₄	semidirect
298. C₂×D₄×C₁₃	C₂²×C₄	semidirect
340. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
341. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
342. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
378. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
379. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
380. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
401. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
402. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
403. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
404. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
405. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
417. C₄²×C₁₃	C₂²×C₄	semidirect
420. C₂×#520	C₂×C₁₃	semidirect
421. C₂²×C₄×D₄	C₂×C₁₃	semidirect
422. #2367	C₂×C₁₃	semidirect
423. #2361	C₂×C₁₃	semidirect
424. #2361	C₂×C₁₃	semidirect
425. #2360	C₂×C₁₃	semidirect
426. #2359	C₂×C₁₃	semidirect
427. #2358	C₂×C₁₃	semidirect
428. D₄×C₄⋊C₄	C₂×C₁₃	semidirect
429. D₄×C₄⋊C₄	C₂×C₁₃	semidirect
430. #2342	C₂×C₁₃	semidirect
431. #2339	C₂×C₁₃	semidirect
432. D₄×C₂²⋊C₄	C₂×C₁₃	semidirect
433. #2326	C₂×C₁₃	semidirect
434. #2325	C₂×C₁₃	semidirect
435. #2324	C₂×C₁₃	semidirect
436. #2322	C₂×C₁₃	semidirect
437. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
438. C₄×#120	C₂×C₁₃	semidirect
439. #2290	C₂×C₁₃	semidirect
440. C₂×#385	C₂×C₁₃	semidirect
441. #2275	C₂×C₁₃	semidirect
484. D₄×C₁₃	C₄×D₄	semidirect
559. #546	C₄×C₁₃	semidirect
567. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
568. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
581. C₂×C₄×D₄	C₂²×C₁₃	semidirect
582. C₂×C₄×D₄	C₂²×C₁₃	semidirect
583. C₂×C₄×D₄	C₂²×C₁₃	semidirect
584. C₂×#117	C₂²×C₁₃	semidirect
585. C₂×#117	C₂²×C₁₃	semidirect
587. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
588. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
589. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
594. #391	C₂²×C₁₃	semidirect
595. #391	C₂²×C₁₃	semidirect
598. #390	C₂²×C₁₃	semidirect
599. #389	C₂²×C₁₃	semidirect
600. #389	C₂²×C₁₃	semidirect
601. #389	C₂²×C₁₃	semidirect
602. #389	C₂²×C₁₃	semidirect
603. #388	C₂²×C₁₃	semidirect
604. #388	C₂²×C₁₃	semidirect
605. #388	C₂²×C₁₃	semidirect
606. #388	C₂²×C₁₃	semidirect
607. #388	C₂²×C₁₃	semidirect
608. #388	C₂²×C₁₃	semidirect
609. #388	C₂²×C₁₃	semidirect
610. #388	C₂²×C₁₃	semidirect
611. #387	C₂²×C₁₃	semidirect
612. #387	C₂²×C₁₃	semidirect
613. #387	C₂²×C₁₃	semidirect
614. #387	C₂²×C₁₃	semidirect
619. #386	C₂²×C₁₃	semidirect
620. #386	C₂²×C₁₃	semidirect
621. #386	C₂²×C₁₃	semidirect
622. #386	C₂²×C₁₃	semidirect
628. #385	C₂²×C₁₃	semidirect
629. #385	C₂²×C₁₃	semidirect
630. #385	C₂²×C₁₃	semidirect
631. #385	C₂²×C₁₃	semidirect
632. #385	C₂²×C₁₃	semidirect
633. #385	C₂²×C₁₃	semidirect
634. #385	C₂²×C₁₃	semidirect
635. #385	C₂²×C₁₃	semidirect
636. #384	C₂²×C₁₃	semidirect
637. #381	C₂²×C₁₃	semidirect
639. #380	C₂²×C₁₃	semidirect
640. #380	C₂²×C₁₃	semidirect
642. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
643. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
644. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
645. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
646. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
650. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
651. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
652. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
653. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
654. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
655. #376	C₂²×C₁₃	semidirect
656. C₂×#95	C₂²×C₁₃	semidirect
657. C₂×#95	C₂²×C₁₃	semidirect
686. C₂²×C₁₃	#520	semidirect
716. C₂×#41	C₂×C₄×C₁₃	semidirect
720. C₂²×D₄	C₂×C₄×C₁₃	semidirect
744. #124	C₂×C₄×C₁₃	semidirect
745. #123	C₂×C₄×C₁₃	semidirect
746. C₂²⋊Q₈	C₂×C₄×C₁₃	semidirect
747. #121	C₂×C₄×C₁₃	semidirect
748. #121	C₂×C₄×C₁₃	semidirect
749. #120	C₂×C₄×C₁₃	semidirect
763. C₄×D₄	C₂×C₄×C₁₃	semidirect
764. C₄×D₄	C₂×C₄×C₁₃	semidirect
765. C₄×D₄	D₄×C₁₃	semidirect
793. C₂×C₂²⋊C₄	C₂×C₄×C₁₃	semidirect
878. C₂×Q₈	C₂²×C₄×C₁₃	semidirect
894. C₂×D₄	C₂²×C₄×C₁₃	semidirect
895. C₂×D₄	C₂²×C₄×C₁₃	semidirect
937. C₂²×C₄	C₂²×C₄×C₁₃	semidirect
938. C₂²×C₄	C₂²×C₄×C₁₃	semidirect
939. C₂²×C₄	C₂²×C₄×C₁₃	semidirect
975. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
976. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
977. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
998. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
999. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1000. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1001. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1002. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1014. C₄²	C₂²×C₄×C₁₃	semidirect
1016. C₁₃	#34288	direct (N × H)
1059. D₄	C₄×D₄×C₁₃	semidirect
1159. C₂²	C₁₃×#520	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#546	2
C₂×C₁₃×#520	2
C₂²×C₄×D₄×C₁₃	2
C₁₃×#2367	2
C₁₃×#2361	2
C₁₃×#2360	2
C₁₃×#2359	2
C₁₃×#2358	2
D₄×C₁₃×C₄⋊C₄	2
C₁₃×#2342	2
C₁₃×#2339	2
D₄×C₁₃×C₂²⋊C₄	2
C₁₃×#2326	2
C₁₃×#2325	2
C₁₃×#2324	2
C₁₃×#2322	2
C₄×C₁₃×C₂²⋊Q₈	2
C₄×C₁₃×#120	2
C₁₃×#2290	2
C₂×C₁₃×#385	2
C₁₃×#2275	2
#34288	13

Subgroups — C13×#34288 #15720627

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃×#34288 #15720627