Subgroups — C₄×C₁₃×#546 #15720496

Order 3328.

3720 conjugacy classes of subgroups.

The subgroup lattice has 1210 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×C₄×C₁₃×#41	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×#2364	C₂	1	2	yes	maximal, complemented
6	C₁₃×#2363	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	C₁₃×#2352	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₃×#2349	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	C₄×C₁₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
16	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×C₁₃×#123	C₂	1	2	yes	maximal, complemented
18	C₄×C₁₃×#121	C₂	1	2	yes	maximal, complemented
19	C₄×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×C₁₃×#120	C₂	1	2	yes	maximal, complemented
21	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄²×D₄×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×C₁₃×C₂²⋊C₄	C₂	1	2	yes	maximal, 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	direct product factor
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	C₄×C₁₃×#41	—	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	1	yes	characteristic
40	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
43	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃	C₂²	1	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	1	yes	characteristic
50	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
51	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
52	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
53	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
54	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
55	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
56	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
57	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
58	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
59	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
60	C₂²×C₄²×C₁₃	C₂²	1	2	yes	complemented
61	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
62	C₂²×C₄²×C₁₃	C₂²	1	2	yes	complemented
63	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#390	C₂²	1	1	yes	characteristic
66	C₁₃×#390	C₂²	1	1	yes	characteristic
67	C₁₃×#390	C₂²	1	2	yes	complemented
68	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
69	C₁₃×#389	C₂²	1	2	yes	complemented
70	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
71	C₁₃×#388	C₂²	1	2	yes	complemented
72	C₁₃×#388	C₂²	1	2	yes	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×#387	C₂²	1	2	yes	complemented
79	C₁₃×#387	C₂²	1	2	yes	complemented
80	C₁₃×#387	C₂²	1	2	yes	complemented
81	C₁₃×#386	C₂²	1	2	yes	—
82	C₁₃×#386	C₂²	1	2	yes	—
83	C₁₃×#386	C₂²	1	2	yes	—
84	C₁₃×#386	C₂²	1	2	yes	complemented
85	C₁₃×#386	C₂²	1	2	yes	complemented
86	C₁₃×#386	C₂²	1	2	yes	complemented
87	C₁₃×#386	C₂²	1	2	yes	complemented
88	C₁₃×#385	C₂²	1	2	yes	—
89	C₁₃×#385	C₂²	1	2	yes	—
90	C₁₃×#385	C₂²	1	2	yes	complemented
91	C₁₃×#385	C₂²	1	2	yes	complemented
92	C₁₃×#385	C₂²	1	2	yes	complemented
93	C₁₃×#382	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#381	C₂²	1	2	yes	complemented
95	C₁₃×#380	C₂²	1	1	yes	characteristic
96	C₁₃×#380	C₂²	1	1	yes	characteristic, complemented
97	C₁₃×#380	C₂²	1	2	yes	complemented
98	C₁₃×#379	C₂²	1	2	yes	—
99	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
100	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
101	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
102	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
103	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
104	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
105	C₄×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
106	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
107	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
108	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
109	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
110	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
111	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
112	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
113	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
114	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
115	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
116	C₄×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
117	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic, 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	C₂×C₁₃×#95	C₂²	1	2	yes	complemented
124	C₂×C₁₃×#95	C₂²	1	2	yes	complemented
125	C₄³×C₁₃	C₂²	1	1	yes	characteristic, 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	—	2	8	no	—
142	C₂³×C₄×C₁₃	—	4	4	no	—
143	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
144	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
145	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
146	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
148	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
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	1	yes	characteristic
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
155	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
156	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
158	C₁₃×#124	C₂×C₄	1	8	yes	complemented
159	C₁₃×#123	C₂×C₄	1	16	yes	complemented
160	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
161	C₁₃×#121	C₂×C₄	1	8	yes	complemented
162	C₁₃×#121	C₂×C₄	1	16	yes	complemented
163	C₁₃×#120	C₂×C₄	1	16	yes	complemented
164	C₄×Q₈×C₁₃	—	2	4	no	—
165	C₄×Q₈×C₁₃	—	2	4	no	—
166	C₄×D₄×C₁₃	—	2	4	no	—
167	C₄×D₄×C₁₃	—	2	4	no	—
168	C₄×D₄×C₁₃	—	2	4	no	—
169	C₄×D₄×C₁₃	—	2	8	no	—
170	C₄×D₄×C₁₃	—	2	8	no	—
171	C₄×D₄×C₁₃	—	2	4	no	—
172	C₄×D₄×C₁₃	—	2	4	no	—
173	C₄×D₄×C₁₃	—	2	8	no	—
174	C₄×D₄×C₁₃	—	2	8	no	—
175	C₄×D₄×C₁₃	—	2	4	no	—
176	C₄×D₄×C₁₃	—	2	4	no	—
177	C₄×D₄×C₁₃	—	4	4	no	—
178	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
179	C₄×D₄×C₁₃	C₂×C₄	1	8	yes	complemented
180	C₄×D₄×C₁₃	D₄	1	8	yes	complemented
181	C₁₃×#117	—	2	4	no	—
182	C₁₃×#117	—	2	8	no	—
183	C₂×C₁₃×C₄⋊C₄	—	2	4	no	—
184	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
188	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
189	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
196	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₁₃×C₂²⋊C₄	—	2	8	no	—
199	C₂×C₁₃×C₂²⋊C₄	—	2	8	no	—
200	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	16	yes	complemented
201	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
225	C₂×C₄²×C₁₃	—	2	8	no	—
226	C₂×C₄²×C₁₃	—	2	4	no	—
227	C₂×C₄²×C₁₃	—	2	4	no	—
228	C₂×C₄²×C₁₃	—	4	4	no	—
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
231	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
239	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
240	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
241	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
242	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
245	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
246	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
248	C₁₃×#95	C₂³	1	1	yes	characteristic
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	2	yes	—
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	2	yes	—
260	C₁₃×#95	C₂³	1	2	yes	—
261	C₁₃×#95	C₂³	1	2	yes	—
262	C₁₃×#95	C₂³	1	2	yes	—
263	C₁₃×#95	C₂³	1	2	yes	—
264	C₁₃×#95	C₂³	1	2	yes	—
265	C₁₃×#95	C₂³	1	2	yes	—
266	C₁₃×#95	C₂³	1	2	yes	—
267	C₄×#546	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
268	C₂⁴×C₁₃	—	2	4	no	—
269	C₂⁴×C₁₃	—	2	4	no	—
270	C₂⁴×C₁₃	—	2	4	no	—
271	C₂⁴×C₁₃	—	2	4	no	—
272	C₂⁴×C₁₃	—	4	2	no	—
273	C₂⁴×C₁₃	—	4	2	no	—
274	C₂⁴×C₁₃	C₂²×C₄	1	8	yes	—
275	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
276	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
277	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
278	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
279	C₁₃×#41	—	2	32	no	—
280	C₂×Q₈×C₁₃	—	2	2	no	—
281	C₂×Q₈×C₁₃	—	2	2	no	—
282	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	complemented
283	C₂×D₄×C₁₃	—	2	4	no	—
284	C₂×D₄×C₁₃	—	2	4	no	—
285	C₂×D₄×C₁₃	—	2	2	no	—
286	C₂×D₄×C₁₃	—	2	2	no	—
287	C₂×D₄×C₁₃	—	2	4	no	—
288	C₂×D₄×C₁₃	—	2	4	no	—
289	C₂×D₄×C₁₃	—	2	32	no	—
290	C₂×D₄×C₁₃	—	2	2	no	—
291	C₂×D₄×C₁₃	—	2	2	no	—
292	C₂×D₄×C₁₃	—	4	2	no	—
293	C₂×D₄×C₁₃	—	4	2	no	—
294	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
295	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	—
296	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
297	C₂×D₄×C₁₃	C₂²×C₄	1	4	yes	—
298	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	complemented
299	C₂×D₄×C₁₃	C₂²×C₄	1	8	yes	complemented
300	C₂×D₄×C₁₃	C₂×D₄	1	4	yes	—
301	C₂×D₄×C₁₃	#41	1	4	yes	—
302	C₂²×C₄×C₁₃	—	2	4	no	—
303	C₂²×C₄×C₁₃	—	2	4	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	4	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	2	no	—
312	C₂²×C₄×C₁₃	—	2	4	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	2	no	—
318	C₂²×C₄×C₁₃	—	2	2	no	—
319	C₂²×C₄×C₁₃	—	2	2	no	—
320	C₂²×C₄×C₁₃	—	2	4	no	—
321	C₂²×C₄×C₁₃	—	2	4	no	—
322	C₂²×C₄×C₁₃	—	2	4	no	—
323	C₂²×C₄×C₁₃	—	2	4	no	—
324	C₂²×C₄×C₁₃	—	2	4	no	—
325	C₂²×C₄×C₁₃	—	2	2	no	—
326	C₂²×C₄×C₁₃	—	2	2	no	—
327	C₂²×C₄×C₁₃	—	2	4	no	—
328	C₂²×C₄×C₁₃	—	2	4	no	—
329	C₂²×C₄×C₁₃	—	2	4	no	—
330	C₂²×C₄×C₁₃	—	2	2	no	—
331	C₂²×C₄×C₁₃	—	2	4	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	1	no	—
339	C₂²×C₄×C₁₃	—	4	1	no	—
340	C₂²×C₄×C₁₃	—	4	2	no	—
341	C₂²×C₄×C₁₃	—	4	32	no	—
342	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
343	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	complemented
344	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	complemented
345	C₂²×C₄×C₁₃	C₂²×C₄	1	8	yes	complemented
346	C₂²×C₄×C₁₃	C₂×D₄	1	8	yes	—
347	C₂²×C₄×C₁₃	#41	1	4	yes	complemented
348	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
349	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
350	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
351	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
353	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
358	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
362	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
364	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₁₃×C₄⋊C₄	—	2	4	no	—
368	C₁₃×C₄⋊C₄	—	2	2	no	—
369	C₁₃×C₄⋊C₄	—	2	4	no	—
370	C₁₃×C₄⋊C₄	—	2	4	no	—
371	C₁₃×C₄⋊C₄	—	2	2	no	—
372	C₁₃×C₄⋊C₄	—	2	2	no	—
373	C₁₃×C₄⋊C₄	—	2	2	no	—
374	C₁₃×C₄⋊C₄	—	2	2	no	—
375	C₁₃×C₄⋊C₄	—	4	2	no	—
376	C₁₃×C₄⋊C₄	—	4	2	no	—
377	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
378	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
379	C₁₃×C₄⋊C₄	C₂²×C₄	1	8	yes	complemented
380	C₁₃×C₄⋊C₄	C₂×D₄	1	4	yes	—
381	C₁₃×C₂²⋊C₄	—	2	4	no	—
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	4	no	—
388	C₁₃×C₂²⋊C₄	—	2	4	no	—
389	C₁₃×C₂²⋊C₄	—	2	4	no	—
390	C₁₃×C₂²⋊C₄	—	2	4	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	C₂²×C₄	1	4	yes	—
397	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	—
398	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
399	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
400	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
401	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	complemented
402	C₁₃×C₂²⋊C₄	C₂²×C₄	1	8	yes	complemented
403	C₁₃×C₂²⋊C₄	C₂×D₄	1	8	yes	—
404	C₁₃×C₂²⋊C₄	#41	1	4	yes	complemented
405	C₄²×C₁₃	—	2	2	no	—
406	C₄²×C₁₃	—	2	2	no	—
407	C₄²×C₁₃	—	2	4	no	—
408	C₄²×C₁₃	—	2	2	no	—
409	C₄²×C₁₃	—	2	2	no	—
410	C₄²×C₁₃	—	2	2	no	—
411	C₄²×C₁₃	—	2	4	no	—
412	C₄²×C₁₃	—	2	2	no	—
413	C₄²×C₁₃	—	2	4	no	—
414	C₄²×C₁₃	—	2	2	no	—
415	C₄²×C₁₃	—	2	2	no	—
416	C₄²×C₁₃	—	2	2	no	—
417	C₄²×C₁₃	—	2	2	no	—
418	C₄²×C₁₃	—	2	4	no	—
419	C₄²×C₁₃	—	4	2	no	—
420	C₄²×C₁₃	—	4	2	no	—
421	C₄²×C₁₃	—	4	1	no	—
422	C₄²×C₁₃	C₂²×C₄	1	4	yes	complemented
423	C₄²×C₁₃	C₂×D₄	1	4	yes	—
424	C₂×#546	C₂×C₁₃	1	1	yes	characteristic
425	C₂×C₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
426	C₂²×C₄×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
427	#2367	C₂×C₁₃	1	1	yes	characteristic, complemented
428	#2364	C₂×C₁₃	1	2	yes	complemented
429	#2363	C₂×C₁₃	1	1	yes	characteristic, complemented
430	#2360	C₂×C₁₃	1	1	yes	characteristic, complemented
431	#2359	C₂×C₁₃	1	2	yes	complemented
432	#2358	C₂×C₁₃	1	2	yes	complemented
433	#2352	C₂×C₁₃	1	1	yes	characteristic, complemented
434	#2349	C₂×C₁₃	1	1	yes	characteristic, complemented
435	#2342	C₂×C₁₃	1	2	yes	complemented
436	#2339	C₂×C₁₃	1	1	yes	characteristic, complemented
437	D₄×C₂²⋊C₄	C₂×C₁₃	1	1	yes	characteristic, complemented
438	C₄×#124	C₂×C₁₃	1	1	yes	characteristic, complemented
439	C₄×C₂²⋊Q₈	C₂×C₁₃	1	1	yes	characteristic, complemented
440	C₄×#123	C₂×C₁₃	1	2	yes	complemented
441	C₄×#121	C₂×C₁₃	1	2	yes	complemented
442	C₄×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
443	C₄×#120	C₂×C₁₃	1	2	yes	complemented
444	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
445	C₄²×D₄	C₂×C₁₃	1	1	yes	characteristic, complemented
446	C₂×C₄×C₂²⋊C₄	C₂×C₁₃	1	2	yes	complemented
447	C₂³×C₁₃	—	2	1	no	—
448	C₂³×C₁₃	—	2	2	no	—
449	C₂³×C₁₃	—	2	2	no	—
450	C₂³×C₁₃	—	2	1	no	—
451	C₂³×C₁₃	—	2	2	no	—
452	C₂³×C₁₃	—	2	1	no	—
453	C₂³×C₁₃	—	2	2	no	—
454	C₂³×C₁₃	—	2	1	no	—
455	C₂³×C₁₃	—	2	16	no	—
456	C₂³×C₁₃	—	2	16	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	1	no	—
462	C₂³×C₁₃	—	2	2	no	—
463	C₂³×C₁₃	—	2	1	no	—
464	C₂³×C₁₃	—	2	2	no	—
465	C₂³×C₁₃	—	2	1	no	—
466	C₂³×C₁₃	—	2	2	no	—
467	C₂³×C₁₃	—	2	2	no	—
468	C₂³×C₁₃	—	2	1	no	—
469	C₂³×C₁₃	—	4	8	no	—
470	C₂³×C₁₃	—	4	8	no	—
471	C₂³×C₁₃	—	4	8	no	—
472	C₂³×C₁₃	—	4	8	no	—
473	C₂³×C₁₃	—	4	8	no	—
474	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
475	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
476	C₂³×C₁₃	C₂³×C₄	1	4	yes	—
477	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
478	C₂³×C₁₃	C₂²×D₄	1	4	yes	—
479	C₂³×C₁₃	C₂×#41	1	4	yes	—
480	C₂³×C₁₃	C₂×#41	1	2	yes	—
481	C₂³×C₁₃	C₂×#41	1	2	yes	—
482	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
483	Q₈×C₁₃	—	2	8	no	—
484	D₄×C₁₃	—	2	16	no	—
485	D₄×C₁₃	—	2	16	no	—
486	D₄×C₁₃	—	2	8	no	—
487	D₄×C₁₃	—	2	8	no	—
488	D₄×C₁₃	—	4	8	no	—
489	D₄×C₁₃	C₄×D₄	1	16	yes	complemented
490	C₂×C₄×C₁₃	—	2	16	no	—
491	C₂×C₄×C₁₃	—	2	1	no	—
492	C₂×C₄×C₁₃	—	2	1	no	—
493	C₂×C₄×C₁₃	—	2	1	no	—
494	C₂×C₄×C₁₃	—	2	2	no	—
495	C₂×C₄×C₁₃	—	2	1	no	—
496	C₂×C₄×C₁₃	—	2	1	no	—
497	C₂×C₄×C₁₃	—	2	1	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	2	no	—
502	C₂×C₄×C₁₃	—	2	1	no	—
503	C₂×C₄×C₁₃	—	2	2	no	—
504	C₂×C₄×C₁₃	—	2	1	no	—
505	C₂×C₄×C₁₃	—	2	1	no	—
506	C₂×C₄×C₁₃	—	2	2	no	—
507	C₂×C₄×C₁₃	—	2	2	no	—
508	C₂×C₄×C₁₃	—	2	1	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	8	no	—
514	C₂×C₄×C₁₃	—	2	8	no	—
515	C₂×C₄×C₁₃	—	2	8	no	—
516	C₂×C₄×C₁₃	—	2	16	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	2	no	—
524	C₂×C₄×C₁₃	—	2	2	no	—
525	C₂×C₄×C₁₃	—	2	1	no	—
526	C₂×C₄×C₁₃	—	2	1	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	2	no	—
529	C₂×C₄×C₁₃	—	2	2	no	—
530	C₂×C₄×C₁₃	—	2	1	no	—
531	C₂×C₄×C₁₃	—	2	2	no	—
532	C₂×C₄×C₁₃	—	2	1	no	—
533	C₂×C₄×C₁₃	—	2	2	no	—
534	C₂×C₄×C₁₃	—	2	1	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	4	no	—
540	C₂×C₄×C₁₃	—	4	8	no	—
541	C₂×C₄×C₁₃	—	4	8	no	—
542	C₂×C₄×C₁₃	—	4	8	no	—
543	C₂×C₄×C₁₃	—	4	4	no	—
544	C₂×C₄×C₁₃	—	4	8	no	—
545	C₂×C₄×C₁₃	C₂³×C₄	1	2	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	4	yes	—
550	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
551	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
552	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
553	C₂×C₄×C₁₃	C₂²×D₄	1	4	yes	—
554	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
555	C₂×C₄×C₁₃	C₂²×D₄	1	2	yes	—
556	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
557	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
558	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
559	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
560	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
561	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
562	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
563	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
564	C₂⁴×C₄	C₂²×C₁₃	1	2	yes	—
565	#546	C₄×C₁₃	1	16	yes	direct product factor
566	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
567	C₂×#123	C₂²×C₁₃	1	2	yes	—
568	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
569	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
570	C₂×#121	C₂²×C₁₃	1	2	yes	—
571	C₂×#120	C₂²×C₁₃	1	2	yes	—
572	C₄×#41	—	2	8	no	—
573	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
574	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
575	C₂×C₄×D₄	—	2	8	no	—
576	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
577	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
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	2	yes	—
581	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
582	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
583	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
584	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
585	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
586	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
587	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
588	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
589	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
590	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
591	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
592	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
593	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
594	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
595	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
596	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
597	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic
598	C₂²×C₄²	C₂²×C₁₃	1	2	yes	complemented
599	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
600	C₂²×C₄²	C₂²×C₁₃	1	2	yes	complemented
601	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
602	#391	C₂²×C₁₃	1	1	yes	characteristic, complemented
603	#390	C₂²×C₁₃	1	1	yes	characteristic
604	#390	C₂²×C₁₃	1	1	yes	characteristic
605	#390	C₂²×C₁₃	1	2	yes	complemented
606	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
607	#389	C₂²×C₁₃	1	1	yes	characteristic, complemented
608	#389	C₂²×C₁₃	1	2	yes	complemented
609	#388	C₂²×C₁₃	1	2	yes	complemented
610	#388	C₂²×C₁₃	1	2	yes	complemented
611	#388	C₂²×C₁₃	1	2	yes	complemented
612	#388	C₂²×C₁₃	1	2	yes	complemented
613	#388	C₂²×C₁₃	1	2	yes	complemented
614	#388	C₂²×C₁₃	1	2	yes	complemented
615	#388	C₂²×C₁₃	1	2	yes	complemented
616	#387	C₂²×C₁₃	1	2	yes	complemented
617	#387	C₂²×C₁₃	1	2	yes	complemented
618	#387	C₂²×C₁₃	1	2	yes	complemented
619	#386	C₂²×C₁₃	1	2	yes	—
620	#386	C₂²×C₁₃	1	2	yes	—
621	#386	C₂²×C₁₃	1	2	yes	—
622	#386	C₂²×C₁₃	1	2	yes	complemented
623	#386	C₂²×C₁₃	1	2	yes	complemented
624	#386	C₂²×C₁₃	1	2	yes	complemented
625	#386	C₂²×C₁₃	1	2	yes	complemented
626	#385	C₂²×C₁₃	1	2	yes	—
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	#382	C₂²×C₁₃	1	1	yes	characteristic, complemented
632	#381	C₂²×C₁₃	1	2	yes	complemented
633	#380	C₂²×C₁₃	1	1	yes	characteristic
634	#380	C₂²×C₁₃	1	1	yes	characteristic, complemented
635	#380	C₂²×C₁₃	1	2	yes	complemented
636	#379	C₂²×C₁₃	1	2	yes	—
637	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
639	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
640	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
641	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
642	C₄×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
643	C₄×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
644	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
645	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
646	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
647	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
648	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
649	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
650	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
651	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	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	1	yes	characteristic, complemented
655	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
656	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
657	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
658	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
659	C₄×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	C₄×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
661	C₂×#95	C₂²×C₁₃	1	2	yes	complemented
662	C₂×#95	C₂²×C₁₃	1	2	yes	complemented
663	C₄³	C₂²×C₁₃	1	1	yes	characteristic, complemented
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	4	no	—
675	C₂²×C₁₃	—	2	2	no	—
676	C₂²×C₁₃	—	2	2	no	—
677	C₂²×C₁₃	—	2	4	no	—
678	C₂²×C₁₃	—	2	2	no	—
679	C₂²×C₁₃	—	2	4	no	—
680	C₂²×C₁₃	—	2	2	no	—
681	C₂²×C₁₃	—	2	4	no	—
682	C₂²×C₁₃	—	4	32	no	—
683	C₂²×C₁₃	—	4	2	no	—
684	C₂²×C₁₃	—	4	1	no	—
685	C₂²×C₁₃	—	4	1	no	—
686	C₂²×C₁₃	—	4	2	no	—
687	C₂²×C₁₃	—	4	1	no	—
688	C₂²×C₁₃	—	4	2	no	—
689	C₂²×C₁₃	—	4	1	no	—
690	C₂²×C₁₃	—	4	2	no	—
691	C₂²×C₁₃	C₂×C₄×D₄	1	8	yes	—
692	C₂²×C₁₃	C₄×#41	1	4	yes	complemented
693	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
694	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
695	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
696	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
697	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
698	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
699	C₂²×C₁₃	#585	1	1	yes	characteristic
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	—	2	2	no	—
705	C₄×C₁₃	—	2	4	no	—
706	C₄×C₁₃	—	2	2	no	—
707	C₄×C₁₃	—	2	4	no	—
708	C₄×C₁₃	—	2	2	no	—
709	C₄×C₁₃	—	2	2	no	—
710	C₄×C₁₃	—	2	2	no	—
711	C₄×C₁₃	—	4	1	no	—
712	C₄×C₁₃	—	4	2	no	—
713	C₄×C₁₃	—	4	1	no	—
714	C₄×C₁₃	—	4	2	no	—
715	C₄×C₁₃	—	4	1	no	—
716	C₄×C₁₃	—	4	2	no	—
717	C₄×C₁₃	C₂×C₄×D₄	1	4	yes	—
718	C₄×C₁₃	#546	1	4	yes	direct product factor
719	C₂⁵	C₂³×C₁₃	1	2	yes	—
720	C₂×#41	—	2	4	no	—
721	C₂×#41	—	2	4	no	—
722	C₂×#41	C₂×C₄×C₁₃	1	8	yes	complemented
723	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
724	C₂²×D₄	—	2	4	no	—
725	C₂²×D₄	—	2	4	no	—
726	C₂²×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
727	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
728	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
729	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
730	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
731	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
732	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
733	C₂³×C₄	—	2	8	no	—
734	C₂³×C₄	—	2	8	no	—
735	C₂³×C₄	—	4	4	no	—
736	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
737	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
738	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
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	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
745	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
746	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
747	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
748	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
749	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
750	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
751	#124	C₂×C₄×C₁₃	1	8	yes	complemented
752	#123	C₂×C₄×C₁₃	1	16	yes	complemented
753	C₂²⋊Q₈	C₂×C₄×C₁₃	1	8	yes	complemented
754	#121	C₂×C₄×C₁₃	1	8	yes	complemented
755	#121	C₂×C₄×C₁₃	1	16	yes	complemented
756	#120	C₂×C₄×C₁₃	1	16	yes	complemented
757	C₄×Q₈	—	2	4	no	—
758	C₄×Q₈	—	2	4	no	—
759	C₄×D₄	—	2	4	no	—
760	C₄×D₄	—	2	4	no	—
761	C₄×D₄	—	2	4	no	—
762	C₄×D₄	—	2	8	no	—
763	C₄×D₄	—	2	8	no	—
764	C₄×D₄	—	2	4	no	—
765	C₄×D₄	—	2	4	no	—
766	C₄×D₄	—	2	8	no	—
767	C₄×D₄	—	2	8	no	—
768	C₄×D₄	—	2	4	no	—
769	C₄×D₄	—	2	4	no	—
770	C₄×D₄	—	4	4	no	—
771	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
772	C₄×D₄	C₂×C₄×C₁₃	1	8	yes	complemented
773	C₄×D₄	D₄×C₁₃	1	8	yes	complemented
774	#117	—	2	4	no	—
775	#117	—	2	8	no	—
776	C₂×C₄⋊C₄	—	2	4	no	—
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	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
781	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
782	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
785	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
786	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
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	—	2	8	no	—
793	C₂×C₂²⋊C₄	C₂×C₄×C₁₃	1	16	yes	complemented
794	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
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	2	yes	—
801	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
802	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
803	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
804	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
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	1	yes	characteristic
810	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
811	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
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	1	yes	characteristic
815	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
816	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
818	C₂×C₄²	—	2	8	no	—
819	C₂×C₄²	—	2	4	no	—
820	C₂×C₄²	—	2	4	no	—
821	C₂×C₄²	—	4	4	no	—
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	1	yes	characteristic
828	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
829	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
830	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
831	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
832	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
833	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
834	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
835	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
836	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
837	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
838	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
839	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
840	C₂×C₄²	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	2	yes	—
848	#95	C₂³×C₁₃	1	2	yes	—
849	#95	C₂³×C₁₃	1	1	yes	characteristic
850	#95	C₂³×C₁₃	1	1	yes	characteristic
851	#95	C₂³×C₁₃	1	1	yes	characteristic
852	#95	C₂³×C₁₃	1	1	yes	characteristic
853	#95	C₂³×C₁₃	1	2	yes	—
854	#95	C₂³×C₁₃	1	2	yes	—
855	#95	C₂³×C₁₃	1	2	yes	—
856	#95	C₂³×C₁₃	1	2	yes	—
857	#95	C₂³×C₁₃	1	2	yes	—
858	#95	C₂³×C₁₃	1	2	yes	—
859	#95	C₂³×C₁₃	1	2	yes	—
860	C₂×C₁₃	—	2	4	no	—
861	C₂×C₁₃	—	2	8	no	—
862	C₂×C₁₃	—	4	2	no	—
863	C₂×C₁₃	—	4	4	no	—
864	C₂×C₁₃	C₂²×C₄×D₄	1	1	yes	characteristic
865	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
866	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
867	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
868	C₂×C₁₃	D₄×#41	1	1	yes	characteristic
869	C₂×C₁₃	#3475	1	1	yes	characteristic
870	C₂×C₁₃	#3481	1	1	yes	characteristic
871	C₂⁴	—	2	4	no	—
872	C₂⁴	—	2	4	no	—
873	C₂⁴	—	2	4	no	—
874	C₂⁴	—	2	4	no	—
875	C₂⁴	—	4	2	no	—
876	C₂⁴	—	4	2	no	—
877	C₂⁴	C₂²×C₄×C₁₃	1	8	yes	—
878	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
879	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
880	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
881	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
882	#41	—	2	32	no	—
883	C₂×Q₈	—	2	2	no	—
884	C₂×Q₈	—	2	2	no	—
885	C₂×Q₈	C₂²×C₄×C₁₃	1	4	yes	complemented
886	C₂×D₄	—	2	4	no	—
887	C₂×D₄	—	2	4	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	2	4	no	—
891	C₂×D₄	—	2	4	no	—
892	C₂×D₄	—	2	32	no	—
893	C₂×D₄	—	2	2	no	—
894	C₂×D₄	—	2	2	no	—
895	C₂×D₄	—	4	2	no	—
896	C₂×D₄	—	4	2	no	—
897	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
898	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	—
899	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
900	C₂×D₄	C₂²×C₄×C₁₃	1	4	yes	—
901	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	complemented
902	C₂×D₄	C₂²×C₄×C₁₃	1	8	yes	complemented
903	C₂×D₄	C₂×D₄×C₁₃	1	4	yes	—
904	C₂×D₄	C₁₃×#41	1	4	yes	—
905	C₂²×C₄	—	2	4	no	—
906	C₂²×C₄	—	2	4	no	—
907	C₂²×C₄	—	2	2	no	—
908	C₂²×C₄	—	2	2	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	4	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	4	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	4	no	—
916	C₂²×C₄	—	2	4	no	—
917	C₂²×C₄	—	2	4	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	4	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	2	2	no	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	4	no	—
924	C₂²×C₄	—	2	4	no	—
925	C₂²×C₄	—	2	4	no	—
926	C₂²×C₄	—	2	4	no	—
927	C₂²×C₄	—	2	4	no	—
928	C₂²×C₄	—	2	2	no	—
929	C₂²×C₄	—	2	2	no	—
930	C₂²×C₄	—	2	4	no	—
931	C₂²×C₄	—	2	4	no	—
932	C₂²×C₄	—	2	4	no	—
933	C₂²×C₄	—	2	2	no	—
934	C₂²×C₄	—	2	4	no	—
935	C₂²×C₄	—	4	2	no	—
936	C₂²×C₄	—	4	2	no	—
937	C₂²×C₄	—	4	2	no	—
938	C₂²×C₄	—	4	2	no	—
939	C₂²×C₄	—	4	2	no	—
940	C₂²×C₄	—	4	2	no	—
941	C₂²×C₄	—	4	1	no	—
942	C₂²×C₄	—	4	1	no	—
943	C₂²×C₄	—	4	2	no	—
944	C₂²×C₄	—	4	32	no	—
945	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	—
946	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
947	C₂²×C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
948	C₂²×C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
949	C₂²×C₄	C₂×D₄×C₁₃	1	8	yes	—
950	C₂²×C₄	C₁₃×#41	1	4	yes	complemented
951	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
952	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
953	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
954	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
955	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
956	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
957	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
958	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
959	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
961	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
962	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
965	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
967	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
968	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
969	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
970	C₄⋊C₄	—	2	4	no	—
971	C₄⋊C₄	—	2	2	no	—
972	C₄⋊C₄	—	2	4	no	—
973	C₄⋊C₄	—	2	4	no	—
974	C₄⋊C₄	—	2	2	no	—
975	C₄⋊C₄	—	2	2	no	—
976	C₄⋊C₄	—	2	2	no	—
977	C₄⋊C₄	—	2	2	no	—
978	C₄⋊C₄	—	4	2	no	—
979	C₄⋊C₄	—	4	2	no	—
980	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
981	C₄⋊C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
982	C₄⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
983	C₄⋊C₄	C₂×D₄×C₁₃	1	4	yes	—
984	C₂²⋊C₄	—	2	4	no	—
985	C₂²⋊C₄	—	2	4	no	—
986	C₂²⋊C₄	—	2	4	no	—
987	C₂²⋊C₄	—	2	4	no	—
988	C₂²⋊C₄	—	2	2	no	—
989	C₂²⋊C₄	—	2	4	no	—
990	C₂²⋊C₄	—	2	4	no	—
991	C₂²⋊C₄	—	2	4	no	—
992	C₂²⋊C₄	—	2	4	no	—
993	C₂²⋊C₄	—	2	4	no	—
994	C₂²⋊C₄	—	2	2	no	—
995	C₂²⋊C₄	—	2	2	no	—
996	C₂²⋊C₄	—	4	2	no	—
997	C₂²⋊C₄	—	4	2	no	—
998	C₂²⋊C₄	—	4	2	no	—
999	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	—
1000	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	—
1001	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
1002	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
1003	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
1004	C₂²⋊C₄	C₂²×C₄×C₁₃	1	4	yes	complemented
1005	C₂²⋊C₄	C₂²×C₄×C₁₃	1	8	yes	complemented
1006	C₂²⋊C₄	C₂×D₄×C₁₃	1	8	yes	—
1007	C₂²⋊C₄	C₁₃×#41	1	4	yes	complemented
1008	C₄²	—	2	2	no	—
1009	C₄²	—	2	2	no	—
1010	C₄²	—	2	4	no	—
1011	C₄²	—	2	2	no	—
1012	C₄²	—	2	2	no	—
1013	C₄²	—	2	2	no	—
1014	C₄²	—	2	4	no	—
1015	C₄²	—	2	2	no	—
1016	C₄²	—	2	4	no	—
1017	C₄²	—	2	2	no	—
1018	C₄²	—	2	2	no	—
1019	C₄²	—	2	2	no	—
1020	C₄²	—	2	2	no	—
1021	C₄²	—	2	4	no	—
1022	C₄²	—	4	2	no	—
1023	C₄²	—	4	2	no	—
1024	C₄²	—	4	1	no	—
1025	C₄²	C₂²×C₄×C₁₃	1	4	yes	complemented
1026	C₄²	C₂×D₄×C₁₃	1	4	yes	—
1027	C₁₃	C₄×#546	1	1	yes	characteristic, direct product factor, Sylow
1028	C₂³	—	2	1	no	—
1029	C₂³	—	2	2	no	—
1030	C₂³	—	2	2	no	—
1031	C₂³	—	2	1	no	—
1032	C₂³	—	2	2	no	—
1033	C₂³	—	2	1	no	—
1034	C₂³	—	2	2	no	—
1035	C₂³	—	2	1	no	—
1036	C₂³	—	2	16	no	—
1037	C₂³	—	2	16	no	—
1038	C₂³	—	2	1	no	—
1039	C₂³	—	2	2	no	—
1040	C₂³	—	2	2	no	—
1041	C₂³	—	2	1	no	—
1042	C₂³	—	2	1	no	—
1043	C₂³	—	2	2	no	—
1044	C₂³	—	2	1	no	—
1045	C₂³	—	2	2	no	—
1046	C₂³	—	2	1	no	—
1047	C₂³	—	2	2	no	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	2	1	no	—
1050	C₂³	—	4	8	no	—
1051	C₂³	—	4	8	no	—
1052	C₂³	—	4	8	no	—
1053	C₂³	—	4	8	no	—
1054	C₂³	—	4	8	no	—
1055	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
1056	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1057	C₂³	C₂³×C₄×C₁₃	1	4	yes	—
1058	C₂³	C₂³×C₄×C₁₃	1	2	yes	—
1059	C₂³	C₂²×D₄×C₁₃	1	4	yes	—
1060	C₂³	C₂×C₁₃×#41	1	4	yes	—
1061	C₂³	C₂×C₁₃×#41	1	2	yes	—
1062	C₂³	C₂×C₁₃×#41	1	2	yes	—
1063	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1064	Q₈	—	2	8	no	—
1065	D₄	—	2	16	no	—
1066	D₄	—	2	16	no	—
1067	D₄	—	2	8	no	—
1068	D₄	—	2	8	no	—
1069	D₄	—	4	8	no	—
1070	D₄	C₄×D₄×C₁₃	1	16	yes	complemented
1071	C₂×C₄	—	2	16	no	—
1072	C₂×C₄	—	2	1	no	—
1073	C₂×C₄	—	2	1	no	—
1074	C₂×C₄	—	2	1	no	—
1075	C₂×C₄	—	2	2	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	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	1	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	2	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	1	no	—
1090	C₂×C₄	—	2	1	no	—
1091	C₂×C₄	—	2	1	no	—
1092	C₂×C₄	—	2	2	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	8	no	—
1095	C₂×C₄	—	2	8	no	—
1096	C₂×C₄	—	2	8	no	—
1097	C₂×C₄	—	2	16	no	—
1098	C₂×C₄	—	2	1	no	—
1099	C₂×C₄	—	2	1	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	1	no	—
1103	C₂×C₄	—	2	1	no	—
1104	C₂×C₄	—	2	2	no	—
1105	C₂×C₄	—	2	2	no	—
1106	C₂×C₄	—	2	1	no	—
1107	C₂×C₄	—	2	1	no	—
1108	C₂×C₄	—	2	2	no	—
1109	C₂×C₄	—	2	2	no	—
1110	C₂×C₄	—	2	2	no	—
1111	C₂×C₄	—	2	1	no	—
1112	C₂×C₄	—	2	2	no	—
1113	C₂×C₄	—	2	1	no	—
1114	C₂×C₄	—	2	2	no	—
1115	C₂×C₄	—	2	1	no	—
1116	C₂×C₄	—	4	8	no	—
1117	C₂×C₄	—	4	8	no	—
1118	C₂×C₄	—	4	4	no	—
1119	C₂×C₄	—	4	8	no	—
1120	C₂×C₄	—	4	8	no	—
1121	C₂×C₄	—	4	8	no	—
1122	C₂×C₄	—	4	4	no	—
1123	C₂×C₄	—	4	8	no	—
1124	C₂×C₄	—	4	8	no	—
1125	C₂×C₄	—	4	4	no	—
1126	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1127	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1128	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
1129	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1130	C₂×C₄	C₂³×C₄×C₁₃	1	4	yes	—
1131	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1132	C₂×C₄	C₂³×C₄×C₁₃	1	2	yes	—
1133	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1134	C₂×C₄	C₂²×D₄×C₁₃	1	4	yes	—
1135	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1136	C₂×C₄	C₂²×D₄×C₁₃	1	2	yes	—
1137	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1138	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1139	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1140	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1141	C₂×C₄	C₂×C₁₃×#41	1	2	yes	—
1142	C₂×C₄	C₁₃×H(5,𝔽₂)	1	2	yes	—
1143	C₂²	—	2	2	no	—
1144	C₂²	—	2	4	no	—
1145	C₂²	—	2	4	no	—
1146	C₂²	—	2	2	no	—
1147	C₂²	—	2	2	no	—
1148	C₂²	—	2	4	no	—
1149	C₂²	—	2	2	no	—
1150	C₂²	—	2	4	no	—
1151	C₂²	—	2	2	no	—
1152	C₂²	—	2	4	no	—
1153	C₂²	—	2	4	no	—
1154	C₂²	—	2	2	no	—
1155	C₂²	—	2	2	no	—
1156	C₂²	—	2	4	no	—
1157	C₂²	—	2	2	no	—
1158	C₂²	—	2	4	no	—
1159	C₂²	—	2	2	no	—
1160	C₂²	—	2	4	no	—
1161	C₂²	—	4	32	no	—
1162	C₂²	—	4	2	no	—
1163	C₂²	—	4	1	no	—
1164	C₂²	—	4	1	no	—
1165	C₂²	—	4	2	no	—
1166	C₂²	—	4	1	no	—
1167	C₂²	—	4	2	no	—
1168	C₂²	—	4	1	no	—
1169	C₂²	—	4	2	no	—
1170	C₂²	C₂×C₄×D₄×C₁₃	1	8	yes	—
1171	C₂²	C₄×C₁₃×#41	1	4	yes	complemented
1172	C₂²	C₂⁴×C₄×C₁₃	1	1	yes	characteristic
1173	C₂²	C₂³×D₄×C₁₃	1	1	yes	characteristic
1174	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1175	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1176	C₂²	C₂²×C₁₃×#41	1	1	yes	characteristic
1177	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1178	C₂²	C₁₃×#585	1	1	yes	characteristic
1179	C₄	—	2	2	no	—
1180	C₄	—	2	2	no	—
1181	C₄	—	2	4	no	—
1182	C₄	—	2	2	no	—
1183	C₄	—	2	2	no	—
1184	C₄	—	2	4	no	—
1185	C₄	—	2	2	no	—
1186	C₄	—	2	4	no	—
1187	C₄	—	2	2	no	—
1188	C₄	—	2	2	no	—
1189	C₄	—	2	2	no	—
1190	C₄	—	4	1	no	—
1191	C₄	—	4	2	no	—
1192	C₄	—	4	1	no	—
1193	C₄	—	4	2	no	—
1194	C₄	—	4	1	no	—
1195	C₄	—	4	2	no	—
1196	C₄	C₂×C₄×D₄×C₁₃	1	4	yes	—
1197	C₄	C₁₃×#546	1	4	yes	direct product factor
1198	C₂	—	2	4	no	—
1199	C₂	—	2	8	no	—
1200	C₂	—	4	4	no	—
1201	C₂	—	4	2	no	—
1202	C₂	C₂²×C₄×D₄×C₁₃	1	1	yes	characteristic
1203	C₂	C₂×C₄×C₁₃×#41	1	1	yes	characteristic
1204	C₂	C₄×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1205	C₂	C₂×C₁₃×#546	1	1	yes	characteristic
1206	C₂	D₄×C₁₃×#41	1	1	yes	characteristic
1207	C₂	C₁₃×#3475	1	1	yes	characteristic
1208	C₂	C₁₃×#3481	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
2. C₂×C₄×C₁₃×#41	C₂	semidirect
3. C₂²×C₄×D₄×C₁₃	C₂	semidirect
4. C₁₃×#2367	C₂	semidirect
5. C₁₃×#2364	C₂	semidirect
6. C₁₃×#2363	C₂	semidirect
7. C₁₃×#2360	C₂	semidirect
8. C₁₃×#2359	C₂	semidirect
9. C₁₃×#2358	C₂	semidirect
10. C₁₃×#2352	C₂	semidirect
11. C₁₃×#2349	C₂	semidirect
12. C₁₃×#2342	C₂	semidirect
13. C₁₃×#2339	C₂	semidirect
14. D₄×C₁₃×C₂²⋊C₄	C₂	semidirect
15. C₄×C₁₃×#124	C₂	semidirect
16. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
17. C₄×C₁₃×#123	C₂	semidirect
18. C₄×C₁₃×#121	C₂	semidirect
19. C₄×C₁₃×#121	C₂	semidirect
20. C₄×C₁₃×#120	C₂	semidirect
21. C₄²×D₄×C₁₃	C₂	semidirect
22. C₄²×D₄×C₁₃	C₂	semidirect
23. C₂×C₄×C₁₃×C₂²⋊C₄	C₂	semidirect
27. C₁₃×#546	C₄	direct (N × H)
35. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
36. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
50. C₂×C₄×D₄×C₁₃	C₂²	semidirect
51. C₂×C₄×D₄×C₁₃	C₂²	semidirect
52. C₂×C₄×D₄×C₁₃	C₂²	semidirect
53. C₂×C₁₃×#117	C₂²	semidirect
54. C₂×C₁₃×#117	C₂²	semidirect
60. C₂²×C₄²×C₁₃	C₂²	semidirect
61. C₂²×C₄²×C₁₃	C₂²	semidirect
62. C₂²×C₄²×C₁₃	C₂²	semidirect
63. C₁₃×#391	C₂²	semidirect
64. C₁₃×#391	C₂²	semidirect
67. C₁₃×#390	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×#387	C₂²	semidirect
79. C₁₃×#387	C₂²	semidirect
80. C₁₃×#387	C₂²	semidirect
84. C₁₃×#386	C₂²	semidirect
85. C₁₃×#386	C₂²	semidirect
86. C₁₃×#386	C₂²	semidirect
87. C₁₃×#386	C₂²	semidirect
90. C₁₃×#385	C₂²	semidirect
91. C₁₃×#385	C₂²	semidirect
92. C₁₃×#385	C₂²	semidirect
93. C₁₃×#382	C₂²	semidirect
94. C₁₃×#381	C₂²	semidirect
96. C₁₃×#380	C₂²	semidirect
97. C₁₃×#380	C₂²	semidirect
99. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
100. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
101. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
102. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
103. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
104. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
105. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
112. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
113. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
114. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
115. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
116. C₄×C₁₃×C₂²⋊C₄	C₂²	semidirect
117. C₄×C₁₃×C₂²⋊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. C₂×C₁₃×#95	C₂²	semidirect
124. C₂×C₁₃×#95	C₂²	semidirect
125. C₄³×C₁₃	C₂²	semidirect
129. C₂×C₁₃×#41	C₂×C₄	semidirect
133. C₂²×D₄×C₁₃	C₂×C₄	semidirect
158. C₁₃×#124	C₂×C₄	semidirect
159. C₁₃×#123	C₂×C₄	semidirect
160. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
161. C₁₃×#121	C₂×C₄	semidirect
162. C₁₃×#121	C₂×C₄	semidirect
163. C₁₃×#120	C₂×C₄	semidirect
178. C₄×D₄×C₁₃	C₂×C₄	semidirect
179. C₄×D₄×C₁₃	C₂×C₄	semidirect
180. C₄×D₄×C₁₃	D₄	semidirect
200. C₂×C₁₃×C₂²⋊C₄	C₂×C₄	semidirect
267. C₄×#546	C₁₃	direct (N × H)
282. C₂×Q₈×C₁₃	C₂²×C₄	semidirect
298. C₂×D₄×C₁₃	C₂²×C₄	semidirect
299. C₂×D₄×C₁₃	C₂²×C₄	semidirect
343. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
344. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
345. C₂²×C₄×C₁₃	C₂²×C₄	semidirect
347. C₂²×C₄×C₁₃	#41	semidirect
377. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
378. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
379. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
398. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
399. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
400. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
401. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
402. C₁₃×C₂²⋊C₄	C₂²×C₄	semidirect
404. C₁₃×C₂²⋊C₄	#41	semidirect
422. C₄²×C₁₃	C₂²×C₄	semidirect
425. C₂×C₄×#41	C₂×C₁₃	semidirect
426. C₂²×C₄×D₄	C₂×C₁₃	semidirect
427. #2367	C₂×C₁₃	semidirect
428. #2364	C₂×C₁₃	semidirect
429. #2363	C₂×C₁₃	semidirect
430. #2360	C₂×C₁₃	semidirect
431. #2359	C₂×C₁₃	semidirect
432. #2358	C₂×C₁₃	semidirect
433. #2352	C₂×C₁₃	semidirect
434. #2349	C₂×C₁₃	semidirect
435. #2342	C₂×C₁₃	semidirect
436. #2339	C₂×C₁₃	semidirect
437. D₄×C₂²⋊C₄	C₂×C₁₃	semidirect
438. C₄×#124	C₂×C₁₃	semidirect
439. C₄×C₂²⋊Q₈	C₂×C₁₃	semidirect
440. C₄×#123	C₂×C₁₃	semidirect
441. C₄×#121	C₂×C₁₃	semidirect
442. C₄×#121	C₂×C₁₃	semidirect
443. C₄×#120	C₂×C₁₃	semidirect
444. C₄²×D₄	C₂×C₁₃	semidirect
445. C₄²×D₄	C₂×C₁₃	semidirect
446. C₂×C₄×C₂²⋊C₄	C₂×C₁₃	semidirect
489. D₄×C₁₃	C₄×D₄	semidirect
565. #546	C₄×C₁₃	direct (N × H)
573. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
574. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
588. C₂×C₄×D₄	C₂²×C₁₃	semidirect
589. C₂×C₄×D₄	C₂²×C₁₃	semidirect
590. C₂×C₄×D₄	C₂²×C₁₃	semidirect
591. C₂×#117	C₂²×C₁₃	semidirect
592. C₂×#117	C₂²×C₁₃	semidirect
598. C₂²×C₄²	C₂²×C₁₃	semidirect
599. C₂²×C₄²	C₂²×C₁₃	semidirect
600. C₂²×C₄²	C₂²×C₁₃	semidirect
601. #391	C₂²×C₁₃	semidirect
602. #391	C₂²×C₁₃	semidirect
605. #390	C₂²×C₁₃	semidirect
606. #389	C₂²×C₁₃	semidirect
607. #389	C₂²×C₁₃	semidirect
608. #389	C₂²×C₁₃	semidirect
609. #388	C₂²×C₁₃	semidirect
610. #388	C₂²×C₁₃	semidirect
611. #388	C₂²×C₁₃	semidirect
612. #388	C₂²×C₁₃	semidirect
613. #388	C₂²×C₁₃	semidirect
614. #388	C₂²×C₁₃	semidirect
615. #388	C₂²×C₁₃	semidirect
616. #387	C₂²×C₁₃	semidirect
617. #387	C₂²×C₁₃	semidirect
618. #387	C₂²×C₁₃	semidirect
622. #386	C₂²×C₁₃	semidirect
623. #386	C₂²×C₁₃	semidirect
624. #386	C₂²×C₁₃	semidirect
625. #386	C₂²×C₁₃	semidirect
628. #385	C₂²×C₁₃	semidirect
629. #385	C₂²×C₁₃	semidirect
630. #385	C₂²×C₁₃	semidirect
631. #382	C₂²×C₁₃	semidirect
632. #381	C₂²×C₁₃	semidirect
634. #380	C₂²×C₁₃	semidirect
635. #380	C₂²×C₁₃	semidirect
637. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
638. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
639. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
640. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
641. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
642. C₄×C₄⋊C₄	C₂²×C₁₃	semidirect
643. 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. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
656. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
657. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
658. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
659. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
660. C₄×C₂²⋊C₄	C₂²×C₁₃	semidirect
661. C₂×#95	C₂²×C₁₃	semidirect
662. C₂×#95	C₂²×C₁₃	semidirect
663. C₄³	C₂²×C₁₃	semidirect
692. C₂²×C₁₃	C₄×#41	semidirect
718. C₄×C₁₃	#546	direct (N × H)
722. C₂×#41	C₂×C₄×C₁₃	semidirect
726. C₂²×D₄	C₂×C₄×C₁₃	semidirect
751. #124	C₂×C₄×C₁₃	semidirect
752. #123	C₂×C₄×C₁₃	semidirect
753. C₂²⋊Q₈	C₂×C₄×C₁₃	semidirect
754. #121	C₂×C₄×C₁₃	semidirect
755. #121	C₂×C₄×C₁₃	semidirect
756. #120	C₂×C₄×C₁₃	semidirect
771. C₄×D₄	C₂×C₄×C₁₃	semidirect
772. C₄×D₄	C₂×C₄×C₁₃	semidirect
773. C₄×D₄	D₄×C₁₃	semidirect
793. C₂×C₂²⋊C₄	C₂×C₄×C₁₃	semidirect
885. C₂×Q₈	C₂²×C₄×C₁₃	semidirect
901. C₂×D₄	C₂²×C₄×C₁₃	semidirect
902. C₂×D₄	C₂²×C₄×C₁₃	semidirect
946. C₂²×C₄	C₂²×C₄×C₁₃	semidirect
947. C₂²×C₄	C₂²×C₄×C₁₃	semidirect
948. C₂²×C₄	C₂²×C₄×C₁₃	semidirect
950. C₂²×C₄	C₁₃×#41	semidirect
980. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
981. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
982. C₄⋊C₄	C₂²×C₄×C₁₃	semidirect
1001. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1002. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1003. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1004. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1005. C₂²⋊C₄	C₂²×C₄×C₁₃	semidirect
1007. C₂²⋊C₄	C₁₃×#41	semidirect
1025. C₄²	C₂²×C₄×C₁₃	semidirect
1027. C₁₃	C₄×#546	direct (N × H)
1070. D₄	C₄×D₄×C₁₃	semidirect
1171. C₂²	C₄×C₁₃×#41	semidirect
1197. C₄	C₁₃×#546	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₁₃×#546	2
C₂×C₄×C₁₃×#41	2
C₂²×C₄×D₄×C₁₃	2
C₁₃×#2367	2
C₁₃×#2364	2
C₁₃×#2363	2
C₁₃×#2360	2
C₁₃×#2359	2
C₁₃×#2358	2
C₁₃×#2352	2
C₁₃×#2349	2
C₁₃×#2342	2
C₁₃×#2339	2
D₄×C₁₃×C₂²⋊C₄	2
C₄×C₁₃×#124	2
C₄×C₁₃×C₂²⋊Q₈	2
C₄×C₁₃×#123	2
C₄×C₁₃×#121	2
C₄×C₁₃×#120	2
C₄²×D₄×C₁₃	2
C₂×C₄×C₁₃×C₂²⋊C₄	2
C₄×#546	13

Subgroups — C4×C13×#546 #15720496

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×C₁₃×#546 #15720496