Subgroups — C₂×C₁₃×#3560 #15749074

Order 3328.

7398 conjugacy classes of subgroups.

The subgroup lattice has 1180 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3560	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₁₃×#563	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₃×#560	C₂	1	2	yes	maximal, complemented
4	C₂×C₁₃×#553	C₂	1	2	yes	maximal, complemented
5	C₂×C₁₃×#553	C₂	1	2	yes	maximal, complemented
6	C₂×C₁₃×#551	C₂	1	2	yes	maximal, complemented
7	C₂×C₁₃×#547	C₂	1	2	yes	maximal, complemented
8	C₂×C₁₃×#546	C₂	1	2	yes	maximal, complemented
9	C₂×C₁₃×#546	C₂	1	2	yes	maximal, complemented
10	C₂×C₁₃×#542	C₂	1	2	yes	maximal, complemented
11	C₂×C₁₃×#539	C₂	1	2	yes	maximal, complemented
12	C₂×C₁₃×#539	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₃×#538	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#538	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₃×#538	C₂	1	2	yes	maximal, complemented
16	C₂×C₁₃×#537	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₁₃×#534	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×C₁₃×#126	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
22	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
23	C₂³×D₄×C₁₃	C₂²	1	2	yes	—
24	C₁₃×#563	C₂²	1	32	yes	complemented
25	C₁₃×#560	C₂²	1	32	yes	complemented
26	C₁₃×#553	C₂²	1	32	yes	complemented
27	C₁₃×#553	C₂²	1	32	yes	complemented
28	C₁₃×#551	C₂²	1	32	yes	complemented
29	C₁₃×#547	C₂²	1	32	yes	complemented
30	C₁₃×#546	C₂²	1	32	yes	complemented
31	C₁₃×#546	C₂²	1	32	yes	complemented
32	C₁₃×#542	C₂²	1	32	yes	complemented
33	C₁₃×#539	C₂²	1	32	yes	complemented
34	C₁₃×#539	C₂²	1	16	yes	complemented
35	C₁₃×#538	C₂²	1	16	yes	complemented
36	C₁₃×#538	C₂²	1	32	yes	complemented
37	C₁₃×#538	C₂²	1	32	yes	complemented
38	C₁₃×#537	C₂²	1	16	yes	complemented
39	C₁₃×#534	C₂²	1	16	yes	complemented
40	C₁₃×#532	C₂²	1	16	yes	complemented
41	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
43	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#529	C₂²	1	16	yes	complemented
45	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
46	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
47	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
48	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
49	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
50	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
51	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
52	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
53	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
54	C₂×C₁₃×#126	C₂²	1	16	yes	complemented
55	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
56	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
57	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₁₃×#124	C₂²	1	2	yes	—
59	C₂×C₁₃×#124	C₂²	1	2	yes	—
60	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
62	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
63	C₂×C₁₃×#123	C₂²	1	2	yes	—
64	C₂×C₁₃×#123	C₂²	1	2	yes	—
65	C₂×C₁₃×#123	C₂²	1	2	yes	—
66	C₂×C₁₃×#123	C₂²	1	2	yes	—
67	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
68	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
69	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
70	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
71	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
72	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
73	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
74	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
75	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
76	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
77	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
78	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
79	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
81	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
82	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
83	C₂×C₁₃×#121	C₂²	1	2	yes	—
84	C₂×C₁₃×#121	C₂²	1	2	yes	—
85	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
86	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
87	C₂×C₁₃×#121	C₂²	1	2	yes	—
88	C₂×C₁₃×#121	C₂²	1	2	yes	—
89	C₂×C₁₃×#121	C₂²	1	2	yes	—
90	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
91	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
92	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
93	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
94	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
96	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
97	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
98	C₂×C₁₃×#120	C₂²	1	2	yes	—
99	C₂×C₁₃×#120	C₂²	1	2	yes	—
100	C₂×C₁₃×#120	C₂²	1	2	yes	—
101	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
102	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
103	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
104	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
106	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
107	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
110	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
111	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
112	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
113	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
114	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
115	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
116	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
117	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
118	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
119	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
120	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
121	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
122	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
123	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
124	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
125	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
126	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
127	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
128	C₂⁵×C₁₃	C₂³	1	2	yes	—
129	C₂×C₁₃×#41	—	4	8	no	—
130	C₂×C₁₃×#41	—	4	8	no	—
131	C₂×C₁₃×#41	C₂³	1	16	yes	complemented
132	C₂×C₁₃×#41	C₂³	1	16	yes	complemented
133	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
134	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
135	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
136	C₂²×D₄×C₁₃	—	4	8	no	—
137	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
139	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
140	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
141	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
143	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
144	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
145	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
146	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
147	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
149	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
150	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
151	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
152	C₂²×D₄×C₁₃	C₂³	1	16	yes	—
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
156	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
158	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
159	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
160	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
161	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
162	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
163	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
164	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
165	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
166	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
167	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
168	C₁₃×C₄⋊Q₈	C₂³	1	16	yes	complemented
169	C₁₃×#127	C₂³	1	8	yes	complemented
170	C₁₃×#126	C₂³	1	16	yes	complemented
171	C₁₃×#126	C₂³	1	16	yes	complemented
172	C₁₃×#126	C₂³	1	16	yes	complemented
173	C₁₃×#126	C₂³	1	16	yes	complemented
174	C₁₃×#126	C₂³	1	16	yes	complemented
175	C₁₃×#126	C₂³	1	16	yes	complemented
176	C₁₃×#126	C₂³	1	16	yes	complemented
177	C₁₃×#126	C₂³	1	16	yes	complemented
178	C₁₃×#126	C₂³	1	16	yes	complemented
179	C₁₃×#125	C₂³	1	8	yes	complemented
180	C₁₃×#125	C₂³	1	16	yes	complemented
181	C₁₃×#125	C₂³	1	16	yes	complemented
182	C₁₃×#124	C₂³	1	16	yes	—
183	C₁₃×#124	C₂³	1	16	yes	—
184	C₁₃×#124	C₂³	1	8	yes	complemented
185	C₁₃×#124	C₂³	1	16	yes	complemented
186	C₁₃×#124	C₂³	1	16	yes	complemented
187	C₁₃×#123	C₂³	1	16	yes	—
188	C₁₃×#123	C₂³	1	16	yes	—
189	C₁₃×#123	C₂³	1	16	yes	—
190	C₁₃×#123	C₂³	1	16	yes	—
191	C₁₃×#123	C₂³	1	16	yes	complemented
192	C₁₃×#123	C₂³	1	16	yes	complemented
193	C₁₃×#123	C₂³	1	16	yes	complemented
194	C₁₃×#123	C₂³	1	16	yes	complemented
195	C₁₃×#123	C₂³	1	16	yes	complemented
196	C₁₃×#123	C₂³	1	16	yes	complemented
197	C₁₃×#123	C₂³	1	16	yes	complemented
198	C₁₃×#123	C₂³	1	16	yes	complemented
199	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
200	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
201	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
202	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
203	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
204	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
205	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
206	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
207	C₁₃×#121	C₂³	1	8	yes	—
208	C₁₃×#121	C₂³	1	8	yes	—
209	C₁₃×#121	C₂³	1	16	yes	—
210	C₁₃×#121	C₂³	1	16	yes	—
211	C₁₃×#121	C₂³	1	16	yes	—
212	C₁₃×#121	C₂³	1	16	yes	—
213	C₁₃×#121	C₂³	1	16	yes	—
214	C₁₃×#121	C₂³	1	8	yes	complemented
215	C₁₃×#121	C₂³	1	16	yes	complemented
216	C₁₃×#121	C₂³	1	16	yes	complemented
217	C₁₃×#121	C₂³	1	16	yes	complemented
218	C₁₃×#121	C₂³	1	16	yes	complemented
219	C₁₃×#121	C₂³	1	16	yes	complemented
220	C₁₃×#121	C₂³	1	16	yes	complemented
221	C₁₃×#121	C₂³	1	16	yes	complemented
222	C₁₃×#120	C₂³	1	16	yes	—
223	C₁₃×#120	C₂³	1	16	yes	—
224	C₁₃×#120	C₂³	1	16	yes	—
225	C₁₃×#120	C₂³	1	16	yes	complemented
226	C₁₃×#120	C₂³	1	16	yes	complemented
227	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
228	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
229	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
230	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
231	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
232	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
233	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
234	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
235	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
236	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
237	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
238	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
239	C₁₃×#117	C₂³	1	16	yes	complemented
240	C₁₃×#117	C₂³	1	16	yes	complemented
241	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
242	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
243	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
244	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
245	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
246	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
247	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
248	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
249	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
252	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
253	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
254	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
257	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
259	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
264	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	complemented
266	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
267	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
268	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
269	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
270	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
271	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
272	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
273	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
274	C₂×C₁₃×C₂²⋊C₄	C₂³	1	8	yes	—
275	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
276	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
277	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
278	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
279	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
280	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
281	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
282	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
283	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
284	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
285	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
286	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
287	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
288	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
289	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
290	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
291	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
292	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
293	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
294	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
295	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
296	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
301	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
302	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
303	C₂×C₄²×C₁₃	C₂³	1	8	yes	complemented
304	C₂×#3560	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
305	C₂⁴×C₁₃	—	2	4	no	—
306	C₂⁴×C₁₃	—	4	4	no	—
307	C₂⁴×C₁₃	—	4	2	no	—
308	C₂⁴×C₁₃	—	4	2	no	—
309	C₂⁴×C₁₃	—	4	4	no	—
310	C₂⁴×C₁₃	—	4	4	no	—
311	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
312	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
313	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
314	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
315	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
316	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
317	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
318	C₁₃×#41	—	4	32	no	—
319	C₁₃×#41	—	4	32	no	—
320	C₂×Q₈×C₁₃	—	4	2	no	—
321	C₂×Q₈×C₁₃	—	4	4	no	—
322	C₂×Q₈×C₁₃	—	4	4	no	—
323	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
324	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
325	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
326	C₂×D₄×C₁₃	—	2	8	no	—
327	C₂×D₄×C₁₃	—	2	8	no	—
328	C₂×D₄×C₁₃	—	2	8	no	—
329	C₂×D₄×C₁₃	—	4	4	no	—
330	C₂×D₄×C₁₃	—	4	4	no	—
331	C₂×D₄×C₁₃	—	4	4	no	—
332	C₂×D₄×C₁₃	—	4	4	no	—
333	C₂×D₄×C₁₃	—	4	4	no	—
334	C₂×D₄×C₁₃	—	4	4	no	—
335	C₂×D₄×C₁₃	—	4	2	no	—
336	C₂×D₄×C₁₃	—	4	2	no	—
337	C₂×D₄×C₁₃	—	4	4	no	—
338	C₂×D₄×C₁₃	—	4	2	no	—
339	C₂×D₄×C₁₃	—	4	4	no	—
340	C₂×D₄×C₁₃	—	4	4	no	—
341	C₂×D₄×C₁₃	—	4	32	no	—
342	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
343	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
344	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
345	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
346	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
347	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
348	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
349	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
350	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
351	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
352	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
353	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
354	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
355	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
356	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
357	C₂²×C₄×C₁₃	—	2	4	no	—
358	C₂²×C₄×C₁₃	—	2	4	no	—
359	C₂²×C₄×C₁₃	—	4	4	no	—
360	C₂²×C₄×C₁₃	—	4	2	no	—
361	C₂²×C₄×C₁₃	—	4	2	no	—
362	C₂²×C₄×C₁₃	—	4	2	no	—
363	C₂²×C₄×C₁₃	—	4	4	no	—
364	C₂²×C₄×C₁₃	—	4	4	no	—
365	C₂²×C₄×C₁₃	—	4	2	no	—
366	C₂²×C₄×C₁₃	—	4	4	no	—
367	C₂²×C₄×C₁₃	—	4	4	no	—
368	C₂²×C₄×C₁₃	—	4	4	no	—
369	C₂²×C₄×C₁₃	—	4	4	no	—
370	C₂²×C₄×C₁₃	—	4	4	no	—
371	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
372	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
381	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
382	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
383	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
384	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
385	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
386	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
387	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
388	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
389	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
390	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
391	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
392	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
393	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
394	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
395	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
396	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
397	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
398	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
399	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
400	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
401	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
402	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
403	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
404	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
405	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
406	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
407	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
408	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
409	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
410	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
411	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
412	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
413	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
414	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
415	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
416	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
417	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
418	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
419	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
420	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
421	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
422	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
423	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
424	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
425	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
426	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
427	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
428	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
429	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
430	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
431	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
432	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
433	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
434	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
435	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
436	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
437	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
438	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
439	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
440	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
441	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
442	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
443	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
444	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
445	C₄²×C₁₃	C₂⁴	1	4	yes	—
446	C₄²×C₁₃	C₂⁴	1	4	yes	—
447	C₄²×C₁₃	C₂⁴	1	4	yes	—
448	C₄²×C₁₃	C₂⁴	1	4	yes	—
449	C₄²×C₁₃	C₂⁴	1	8	yes	—
450	C₄²×C₁₃	C₂⁴	1	8	yes	—
451	C₄²×C₁₃	C₂⁴	1	8	yes	—
452	#3560	C₂×C₁₃	1	32	yes	direct product factor
453	C₂×#563	C₂×C₁₃	1	2	yes	complemented
454	C₂×#560	C₂×C₁₃	1	2	yes	complemented
455	C₂×#553	C₂×C₁₃	1	2	yes	complemented
456	C₂×#553	C₂×C₁₃	1	2	yes	complemented
457	C₂×#551	C₂×C₁₃	1	2	yes	complemented
458	C₂×#547	C₂×C₁₃	1	2	yes	complemented
459	C₂×#546	C₂×C₁₃	1	2	yes	complemented
460	C₂×#546	C₂×C₁₃	1	2	yes	complemented
461	C₂×#542	C₂×C₁₃	1	2	yes	complemented
462	C₂×#539	C₂×C₁₃	1	2	yes	complemented
463	C₂×#539	C₂×C₁₃	1	1	yes	characteristic, complemented
464	C₂×#538	C₂×C₁₃	1	1	yes	characteristic, complemented
465	C₂×#538	C₂×C₁₃	1	2	yes	complemented
466	C₂×#538	C₂×C₁₃	1	2	yes	complemented
467	C₂×#537	C₂×C₁₃	1	1	yes	characteristic, complemented
468	C₂×#534	C₂×C₁₃	1	1	yes	characteristic, complemented
469	C₂×#532	C₂×C₁₃	1	1	yes	characteristic, complemented
470	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
471	C₂²×#126	C₂×C₁₃	1	1	yes	characteristic, complemented
472	C₂³×C₁₃	—	2	2	no	—
473	C₂³×C₁₃	—	2	2	no	—
474	C₂³×C₁₃	—	2	4	no	—
475	C₂³×C₁₃	—	2	4	no	—
476	C₂³×C₁₃	—	2	4	no	—
477	C₂³×C₁₃	—	2	4	no	—
478	C₂³×C₁₃	—	2	4	no	—
479	C₂³×C₁₃	—	2	4	no	—
480	C₂³×C₁₃	—	2	4	no	—
481	C₂³×C₁₃	—	2	4	no	—
482	C₂³×C₁₃	—	2	4	no	—
483	C₂³×C₁₃	—	2	4	no	—
484	C₂³×C₁₃	—	2	4	no	—
485	C₂³×C₁₃	—	2	4	no	—
486	C₂³×C₁₃	—	2	8	no	—
487	C₂³×C₁₃	—	4	8	no	—
488	C₂³×C₁₃	—	4	4	no	—
489	C₂³×C₁₃	—	4	4	no	—
490	C₂³×C₁₃	—	4	8	no	—
491	C₂³×C₁₃	—	4	8	no	—
492	C₂³×C₁₃	—	8	8	no	—
493	C₂³×C₁₃	—	8	16	no	—
494	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
495	C₂³×C₁₃	C₂⁵	1	4	yes	—
496	C₂³×C₁₃	C₂⁵	1	4	yes	—
497	C₂³×C₁₃	C₂⁵	1	4	yes	—
498	C₂³×C₁₃	C₂⁵	1	4	yes	—
499	C₂³×C₁₃	C₂⁵	1	2	yes	—
500	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
501	Q₈×C₁₃	—	4	4	no	—
502	Q₈×C₁₃	—	4	8	no	—
503	Q₈×C₁₃	—	4	8	no	—
504	D₄×C₁₃	—	2	16	no	—
505	D₄×C₁₃	—	2	16	no	—
506	D₄×C₁₃	—	2	16	no	—
507	D₄×C₁₃	—	4	8	no	—
508	D₄×C₁₃	—	4	8	no	—
509	D₄×C₁₃	—	4	8	no	—
510	D₄×C₁₃	—	4	8	no	—
511	D₄×C₁₃	—	4	8	no	—
512	D₄×C₁₃	—	4	8	no	—
513	D₄×C₁₃	—	4	4	no	—
514	D₄×C₁₃	—	4	4	no	—
515	D₄×C₁₃	—	4	8	no	—
516	D₄×C₁₃	—	4	4	no	—
517	D₄×C₁₃	—	4	8	no	—
518	D₄×C₁₃	—	4	8	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	4	no	—
521	C₂×C₄×C₁₃	—	2	2	no	—
522	C₂×C₄×C₁₃	—	2	8	no	—
523	C₂×C₄×C₁₃	—	2	8	no	—
524	C₂×C₄×C₁₃	—	2	4	no	—
525	C₂×C₄×C₁₃	—	2	4	no	—
526	C₂×C₄×C₁₃	—	2	4	no	—
527	C₂×C₄×C₁₃	—	2	2	no	—
528	C₂×C₄×C₁₃	—	2	4	no	—
529	C₂×C₄×C₁₃	—	2	4	no	—
530	C₂×C₄×C₁₃	—	2	4	no	—
531	C₂×C₄×C₁₃	—	2	2	no	—
532	C₂×C₄×C₁₃	—	2	2	no	—
533	C₂×C₄×C₁₃	—	2	4	no	—
534	C₂×C₄×C₁₃	—	2	2	no	—
535	C₂×C₄×C₁₃	—	4	8	no	—
536	C₂×C₄×C₁₃	—	4	4	no	—
537	C₂×C₄×C₁₃	—	4	4	no	—
538	C₂×C₄×C₁₃	—	4	4	no	—
539	C₂×C₄×C₁₃	—	4	8	no	—
540	C₂×C₄×C₁₃	—	4	8	no	—
541	C₂×C₄×C₁₃	—	4	4	no	—
542	C₂×C₄×C₁₃	—	4	8	no	—
543	C₂×C₄×C₁₃	—	4	8	no	—
544	C₂×C₄×C₁₃	—	4	8	no	—
545	C₂×C₄×C₁₃	—	4	8	no	—
546	C₂×C₄×C₁₃	—	4	8	no	—
547	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
548	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
549	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
550	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
551	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
552	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
553	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
554	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
555	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
556	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
557	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
558	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
559	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
560	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
561	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
562	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
563	C₂³×D₄	C₂²×C₁₃	1	2	yes	—
564	#563	C₂²×C₁₃	1	32	yes	complemented
565	#560	C₂²×C₁₃	1	32	yes	complemented
566	#553	C₂²×C₁₃	1	32	yes	complemented
567	#553	C₂²×C₁₃	1	32	yes	complemented
568	#551	C₂²×C₁₃	1	32	yes	complemented
569	#547	C₂²×C₁₃	1	32	yes	complemented
570	#546	C₂²×C₁₃	1	32	yes	complemented
571	#546	C₂²×C₁₃	1	32	yes	complemented
572	#542	C₂²×C₁₃	1	32	yes	complemented
573	#539	C₂²×C₁₃	1	32	yes	complemented
574	#539	C₂²×C₁₃	1	16	yes	complemented
575	#538	C₂²×C₁₃	1	16	yes	complemented
576	#538	C₂²×C₁₃	1	32	yes	complemented
577	#538	C₂²×C₁₃	1	32	yes	complemented
578	#537	C₂²×C₁₃	1	16	yes	complemented
579	#534	C₂²×C₁₃	1	16	yes	complemented
580	#532	C₂²×C₁₃	1	16	yes	complemented
581	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
582	C₂×C₄⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
583	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
584	#529	C₂²×C₁₃	1	16	yes	complemented
585	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
586	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
587	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
588	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
589	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
590	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
591	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
592	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
593	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
594	C₂×#126	C₂²×C₁₃	1	16	yes	complemented
595	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
596	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
597	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
598	C₂×#124	C₂²×C₁₃	1	2	yes	—
599	C₂×#124	C₂²×C₁₃	1	2	yes	—
600	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
601	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
602	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
603	C₂×#123	C₂²×C₁₃	1	2	yes	—
604	C₂×#123	C₂²×C₁₃	1	2	yes	—
605	C₂×#123	C₂²×C₁₃	1	2	yes	—
606	C₂×#123	C₂²×C₁₃	1	2	yes	—
607	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
608	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
609	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
610	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
611	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
612	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
613	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
614	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
615	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
616	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
617	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
618	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
619	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
620	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
621	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
622	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
623	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
624	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
625	C₂×#121	C₂²×C₁₃	1	2	yes	—
626	C₂×#121	C₂²×C₁₃	1	2	yes	—
627	C₂×#121	C₂²×C₁₃	1	2	yes	—
628	C₂×#121	C₂²×C₁₃	1	2	yes	—
629	C₂×#121	C₂²×C₁₃	1	2	yes	—
630	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
631	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
632	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
633	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
634	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
635	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
636	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
637	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
638	C₂×#120	C₂²×C₁₃	1	2	yes	—
639	C₂×#120	C₂²×C₁₃	1	2	yes	—
640	C₂×#120	C₂²×C₁₃	1	2	yes	—
641	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
642	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
643	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
644	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
645	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
646	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
647	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
648	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
649	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
650	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
651	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
652	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
653	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
654	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
655	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
656	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
657	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
658	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
659	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
660	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
661	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
662	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
663	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	1	yes	characteristic
664	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
665	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
666	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
667	C₂²×C₁₃	—	2	2	no	—
668	C₂²×C₁₃	—	2	2	no	—
669	C₂²×C₁₃	—	2	8	no	—
670	C₂²×C₁₃	—	2	4	no	—
671	C₂²×C₁₃	—	2	4	no	—
672	C₂²×C₁₃	—	2	4	no	—
673	C₂²×C₁₃	—	2	4	no	—
674	C₂²×C₁₃	—	2	4	no	—
675	C₂²×C₁₃	—	2	4	no	—
676	C₂²×C₁₃	—	2	4	no	—
677	C₂²×C₁₃	—	2	4	no	—
678	C₂²×C₁₃	—	2	4	no	—
679	C₂²×C₁₃	—	2	4	no	—
680	C₂²×C₁₃	—	2	4	no	—
681	C₂²×C₁₃	—	2	4	no	—
682	C₂²×C₁₃	—	4	8	no	—
683	C₂²×C₁₃	—	4	8	no	—
684	C₂²×C₁₃	—	4	8	no	—
685	C₂²×C₁₃	—	4	8	no	—
686	C₂²×C₁₃	—	8	8	no	—
687	C₂²×C₁₃	—	8	16	no	—
688	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
689	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
690	C₂²×C₁₃	#585	1	2	yes	—
691	C₂²×C₁₃	#585	1	2	yes	—
692	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
693	C₄×C₁₃	—	2	2	no	—
694	C₄×C₁₃	—	2	4	no	—
695	C₄×C₁₃	—	2	2	no	—
696	C₄×C₁₃	—	2	4	no	—
697	C₄×C₁₃	—	2	4	no	—
698	C₄×C₁₃	—	2	4	no	—
699	C₄×C₁₃	—	2	2	no	—
700	C₄×C₁₃	—	2	4	no	—
701	C₄×C₁₃	—	2	4	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	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
708	C₂⁵	C₂³×C₁₃	1	2	yes	—
709	C₂×#41	—	4	8	no	—
710	C₂×#41	—	4	8	no	—
711	C₂×#41	C₂³×C₁₃	1	16	yes	complemented
712	C₂×#41	C₂³×C₁₃	1	16	yes	complemented
713	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
714	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
715	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
716	C₂²×D₄	—	4	8	no	—
717	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
718	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
719	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
720	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
721	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
722	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
723	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
724	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
725	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
726	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
727	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
728	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
729	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
730	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
731	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
732	C₂²×D₄	C₂³×C₁₃	1	16	yes	—
733	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
734	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
735	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
736	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
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	2	yes	—
745	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
746	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
747	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
748	C₄⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
749	#127	C₂³×C₁₃	1	8	yes	complemented
750	#126	C₂³×C₁₃	1	16	yes	complemented
751	#126	C₂³×C₁₃	1	16	yes	complemented
752	#126	C₂³×C₁₃	1	16	yes	complemented
753	#126	C₂³×C₁₃	1	16	yes	complemented
754	#126	C₂³×C₁₃	1	16	yes	complemented
755	#126	C₂³×C₁₃	1	16	yes	complemented
756	#126	C₂³×C₁₃	1	16	yes	complemented
757	#126	C₂³×C₁₃	1	16	yes	complemented
758	#126	C₂³×C₁₃	1	16	yes	complemented
759	#125	C₂³×C₁₃	1	8	yes	complemented
760	#125	C₂³×C₁₃	1	16	yes	complemented
761	#125	C₂³×C₁₃	1	16	yes	complemented
762	#124	C₂³×C₁₃	1	16	yes	—
763	#124	C₂³×C₁₃	1	16	yes	—
764	#124	C₂³×C₁₃	1	8	yes	complemented
765	#124	C₂³×C₁₃	1	16	yes	complemented
766	#124	C₂³×C₁₃	1	16	yes	complemented
767	#123	C₂³×C₁₃	1	16	yes	—
768	#123	C₂³×C₁₃	1	16	yes	—
769	#123	C₂³×C₁₃	1	16	yes	—
770	#123	C₂³×C₁₃	1	16	yes	—
771	#123	C₂³×C₁₃	1	16	yes	complemented
772	#123	C₂³×C₁₃	1	16	yes	complemented
773	#123	C₂³×C₁₃	1	16	yes	complemented
774	#123	C₂³×C₁₃	1	16	yes	complemented
775	#123	C₂³×C₁₃	1	16	yes	complemented
776	#123	C₂³×C₁₃	1	16	yes	complemented
777	#123	C₂³×C₁₃	1	16	yes	complemented
778	#123	C₂³×C₁₃	1	16	yes	complemented
779	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
780	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
781	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
782	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
783	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
784	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
785	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
786	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
787	#121	C₂³×C₁₃	1	8	yes	—
788	#121	C₂³×C₁₃	1	8	yes	—
789	#121	C₂³×C₁₃	1	16	yes	—
790	#121	C₂³×C₁₃	1	16	yes	—
791	#121	C₂³×C₁₃	1	16	yes	—
792	#121	C₂³×C₁₃	1	16	yes	—
793	#121	C₂³×C₁₃	1	16	yes	—
794	#121	C₂³×C₁₃	1	8	yes	complemented
795	#121	C₂³×C₁₃	1	16	yes	complemented
796	#121	C₂³×C₁₃	1	16	yes	complemented
797	#121	C₂³×C₁₃	1	16	yes	complemented
798	#121	C₂³×C₁₃	1	16	yes	complemented
799	#121	C₂³×C₁₃	1	16	yes	complemented
800	#121	C₂³×C₁₃	1	16	yes	complemented
801	#121	C₂³×C₁₃	1	16	yes	complemented
802	#120	C₂³×C₁₃	1	16	yes	—
803	#120	C₂³×C₁₃	1	16	yes	—
804	#120	C₂³×C₁₃	1	16	yes	—
805	#120	C₂³×C₁₃	1	16	yes	complemented
806	#120	C₂³×C₁₃	1	16	yes	complemented
807	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
808	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
809	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
810	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
811	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
812	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
813	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
814	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
815	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
816	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
817	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
818	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
819	#117	C₂³×C₁₃	1	16	yes	complemented
820	#117	C₂³×C₁₃	1	16	yes	complemented
821	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
822	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
823	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
824	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
825	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
826	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
827	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
828	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
829	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
830	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
831	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
832	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
833	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
834	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
835	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
836	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
837	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
838	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
839	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
840	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
841	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
842	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	complemented
843	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	complemented
844	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	complemented
845	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	complemented
846	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
847	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
848	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
849	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
850	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
851	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
852	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
853	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
854	C₂×C₂²⋊C₄	C₂³×C₁₃	1	8	yes	—
855	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
856	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
857	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
858	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
859	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
860	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
861	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
862	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
863	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
864	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
865	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
866	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
867	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
868	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
869	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
870	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
871	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
872	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
873	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
874	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	complemented
875	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	complemented
876	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
877	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
878	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
879	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
880	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
881	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
882	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
883	C₂×C₄²	C₂³×C₁₃	1	8	yes	complemented
884	C₂×C₁₃	—	2	4	no	—
885	C₂×C₁₃	—	4	4	no	—
886	C₂×C₁₃	—	4	4	no	—
887	C₂×C₁₃	—	4	4	no	—
888	C₂×C₁₃	—	4	4	no	—
889	C₂×C₁₃	#3560	1	4	yes	direct product factor
890	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
891	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
892	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
893	C₂⁴	—	2	4	no	—
894	C₂⁴	—	4	4	no	—
895	C₂⁴	—	4	2	no	—
896	C₂⁴	—	4	2	no	—
897	C₂⁴	—	4	4	no	—
898	C₂⁴	—	4	4	no	—
899	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
900	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
901	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
902	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
903	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
904	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
905	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
906	#41	—	4	32	no	—
907	#41	—	4	32	no	—
908	C₂×Q₈	—	4	4	no	—
909	C₂×Q₈	—	4	4	no	—
910	C₂×Q₈	—	4	2	no	—
911	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
912	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
913	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
914	C₂×D₄	—	2	8	no	—
915	C₂×D₄	—	2	8	no	—
916	C₂×D₄	—	2	8	no	—
917	C₂×D₄	—	4	4	no	—
918	C₂×D₄	—	4	4	no	—
919	C₂×D₄	—	4	4	no	—
920	C₂×D₄	—	4	4	no	—
921	C₂×D₄	—	4	4	no	—
922	C₂×D₄	—	4	4	no	—
923	C₂×D₄	—	4	4	no	—
924	C₂×D₄	—	4	4	no	—
925	C₂×D₄	—	4	2	no	—
926	C₂×D₄	—	4	2	no	—
927	C₂×D₄	—	4	4	no	—
928	C₂×D₄	—	4	2	no	—
929	C₂×D₄	—	4	32	no	—
930	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
931	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
932	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
933	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
934	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
935	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
936	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
937	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
938	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
939	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
940	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
941	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
942	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
943	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
944	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
945	C₂²×C₄	—	2	4	no	—
946	C₂²×C₄	—	2	4	no	—
947	C₂²×C₄	—	4	4	no	—
948	C₂²×C₄	—	4	4	no	—
949	C₂²×C₄	—	4	4	no	—
950	C₂²×C₄	—	4	4	no	—
951	C₂²×C₄	—	4	4	no	—
952	C₂²×C₄	—	4	4	no	—
953	C₂²×C₄	—	4	2	no	—
954	C₂²×C₄	—	4	2	no	—
955	C₂²×C₄	—	4	2	no	—
956	C₂²×C₄	—	4	4	no	—
957	C₂²×C₄	—	4	4	no	—
958	C₂²×C₄	—	4	2	no	—
959	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
960	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
961	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
962	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
963	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
964	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
965	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
966	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
967	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
968	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
969	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
970	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
971	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
972	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
973	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
974	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
975	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
976	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
977	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
978	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
979	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
980	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
981	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
982	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
983	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
984	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
985	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
986	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
987	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
988	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
989	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
990	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
991	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
992	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
993	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
994	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
995	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
996	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
997	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
998	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
999	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1000	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1001	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1002	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1003	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1004	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1005	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1006	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1007	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1008	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1009	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1010	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1011	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1012	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1013	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1014	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1015	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1016	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1017	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1018	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1019	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1020	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1021	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1022	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1023	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1024	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1025	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1026	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1027	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1028	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1029	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1030	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1031	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1032	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1033	C₄²	C₂⁴×C₁₃	1	4	yes	—
1034	C₄²	C₂⁴×C₁₃	1	4	yes	—
1035	C₄²	C₂⁴×C₁₃	1	4	yes	—
1036	C₄²	C₂⁴×C₁₃	1	4	yes	—
1037	C₄²	C₂⁴×C₁₃	1	8	yes	—
1038	C₄²	C₂⁴×C₁₃	1	8	yes	—
1039	C₄²	C₂⁴×C₁₃	1	8	yes	—
1040	C₁₃	C₂×#3560	1	1	yes	characteristic, direct product factor, Sylow
1041	C₂³	—	2	2	no	—
1042	C₂³	—	2	2	no	—
1043	C₂³	—	2	4	no	—
1044	C₂³	—	2	4	no	—
1045	C₂³	—	2	4	no	—
1046	C₂³	—	2	4	no	—
1047	C₂³	—	2	4	no	—
1048	C₂³	—	2	4	no	—
1049	C₂³	—	2	4	no	—
1050	C₂³	—	2	4	no	—
1051	C₂³	—	2	4	no	—
1052	C₂³	—	2	4	no	—
1053	C₂³	—	2	4	no	—
1054	C₂³	—	2	4	no	—
1055	C₂³	—	2	8	no	—
1056	C₂³	—	4	8	no	—
1057	C₂³	—	4	4	no	—
1058	C₂³	—	4	4	no	—
1059	C₂³	—	4	8	no	—
1060	C₂³	—	4	8	no	—
1061	C₂³	—	8	8	no	—
1062	C₂³	—	8	16	no	—
1063	C₂³	C₁₃×H(5,𝔽₂)	1	4	yes	—
1064	C₂³	C₂⁵×C₁₃	1	4	yes	—
1065	C₂³	C₂⁵×C₁₃	1	4	yes	—
1066	C₂³	C₂⁵×C₁₃	1	4	yes	—
1067	C₂³	C₂⁵×C₁₃	1	4	yes	—
1068	C₂³	C₂⁵×C₁₃	1	2	yes	—
1069	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1070	Q₈	—	4	8	no	—
1071	Q₈	—	4	8	no	—
1072	Q₈	—	4	4	no	—
1073	D₄	—	2	16	no	—
1074	D₄	—	2	16	no	—
1075	D₄	—	2	16	no	—
1076	D₄	—	4	8	no	—
1077	D₄	—	4	8	no	—
1078	D₄	—	4	8	no	—
1079	D₄	—	4	8	no	—
1080	D₄	—	4	8	no	—
1081	D₄	—	4	8	no	—
1082	D₄	—	4	4	no	—
1083	D₄	—	4	4	no	—
1084	D₄	—	4	8	no	—
1085	D₄	—	4	4	no	—
1086	D₄	—	4	8	no	—
1087	D₄	—	4	8	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	4	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	2	8	no	—
1092	C₂×C₄	—	2	8	no	—
1093	C₂×C₄	—	2	4	no	—
1094	C₂×C₄	—	2	4	no	—
1095	C₂×C₄	—	2	4	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	4	no	—
1098	C₂×C₄	—	2	4	no	—
1099	C₂×C₄	—	2	4	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	2	2	no	—
1102	C₂×C₄	—	2	4	no	—
1103	C₂×C₄	—	2	2	no	—
1104	C₂×C₄	—	4	8	no	—
1105	C₂×C₄	—	4	8	no	—
1106	C₂×C₄	—	4	4	no	—
1107	C₂×C₄	—	4	4	no	—
1108	C₂×C₄	—	4	4	no	—
1109	C₂×C₄	—	4	8	no	—
1110	C₂×C₄	—	4	8	no	—
1111	C₂×C₄	—	4	4	no	—
1112	C₂×C₄	—	4	8	no	—
1113	C₂×C₄	—	4	8	no	—
1114	C₂×C₄	—	4	8	no	—
1115	C₂×C₄	—	4	8	no	—
1116	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1117	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1118	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1119	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1120	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1121	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1122	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1123	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1124	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1125	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1126	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1127	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1128	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1129	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1130	C₂²	—	2	8	no	—
1131	C₂²	—	2	2	no	—
1132	C₂²	—	2	2	no	—
1133	C₂²	—	2	4	no	—
1134	C₂²	—	2	4	no	—
1135	C₂²	—	2	4	no	—
1136	C₂²	—	2	4	no	—
1137	C₂²	—	2	4	no	—
1138	C₂²	—	2	4	no	—
1139	C₂²	—	2	4	no	—
1140	C₂²	—	2	4	no	—
1141	C₂²	—	2	4	no	—
1142	C₂²	—	2	4	no	—
1143	C₂²	—	2	4	no	—
1144	C₂²	—	2	4	no	—
1145	C₂²	—	4	8	no	—
1146	C₂²	—	4	8	no	—
1147	C₂²	—	4	8	no	—
1148	C₂²	—	4	8	no	—
1149	C₂²	—	8	8	no	—
1150	C₂²	—	8	16	no	—
1151	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
1152	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1153	C₂²	C₁₃×#585	1	2	yes	—
1154	C₂²	C₁₃×#585	1	2	yes	—
1155	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1156	C₄	—	2	2	no	—
1157	C₄	—	2	4	no	—
1158	C₄	—	2	2	no	—
1159	C₄	—	2	4	no	—
1160	C₄	—	2	4	no	—
1161	C₄	—	2	4	no	—
1162	C₄	—	2	2	no	—
1163	C₄	—	2	4	no	—
1164	C₄	—	2	4	no	—
1165	C₄	—	2	4	no	—
1166	C₄	—	2	2	no	—
1167	C₄	—	2	2	no	—
1168	C₄	—	2	4	no	—
1169	C₄	—	2	2	no	—
1170	C₂	—	2	4	no	—
1171	C₂	—	4	4	no	—
1172	C₂	—	4	4	no	—
1173	C₂	—	4	4	no	—
1174	C₂	—	4	4	no	—
1175	C₂	C₁₃×#3560	1	4	yes	direct product factor
1176	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1177	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1178	C₂	C₂×C₁₃×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₃	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₁₃
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
1. C₁₃×#3560	C₂	direct (N × H)
2. C₂×C₁₃×#563	C₂	semidirect
3. C₂×C₁₃×#560	C₂	semidirect
4. C₂×C₁₃×#553	C₂	semidirect
5. C₂×C₁₃×#553	C₂	semidirect
6. C₂×C₁₃×#551	C₂	semidirect
7. C₂×C₁₃×#547	C₂	semidirect
8. C₂×C₁₃×#546	C₂	semidirect
9. C₂×C₁₃×#546	C₂	semidirect
10. C₂×C₁₃×#542	C₂	semidirect
11. C₂×C₁₃×#539	C₂	semidirect
12. C₂×C₁₃×#539	C₂	semidirect
13. C₂×C₁₃×#538	C₂	semidirect
14. C₂×C₁₃×#538	C₂	semidirect
15. C₂×C₁₃×#538	C₂	semidirect
16. C₂×C₁₃×#537	C₂	semidirect
17. C₂×C₁₃×#534	C₂	semidirect
18. C₂×C₁₃×#532	C₂	semidirect
19. C₂×C₁₃×#529	C₂	semidirect
20. C₂²×C₁₃×#126	C₂	semidirect
21. C₂²×C₁₃×#41	C₂²	semidirect
22. C₂²×C₁₃×#41	C₂²	semidirect
24. C₁₃×#563	C₂²	semidirect
25. C₁₃×#560	C₂²	semidirect
26. C₁₃×#553	C₂²	semidirect
27. C₁₃×#553	C₂²	semidirect
28. C₁₃×#551	C₂²	semidirect
29. C₁₃×#547	C₂²	semidirect
30. C₁₃×#546	C₂²	semidirect
31. C₁₃×#546	C₂²	semidirect
32. C₁₃×#542	C₂²	semidirect
33. C₁₃×#539	C₂²	semidirect
34. C₁₃×#539	C₂²	semidirect
35. C₁₃×#538	C₂²	semidirect
36. C₁₃×#538	C₂²	semidirect
37. C₁₃×#538	C₂²	semidirect
38. C₁₃×#537	C₂²	semidirect
39. C₁₃×#534	C₂²	semidirect
40. C₁₃×#532	C₂²	semidirect
41. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
42. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
43. C₂×C₁₃×#127	C₂²	semidirect
44. C₁₃×#529	C₂²	semidirect
45. C₂×C₁₃×#126	C₂²	semidirect
46. C₂×C₁₃×#126	C₂²	semidirect
47. C₂×C₁₃×#126	C₂²	semidirect
48. C₂×C₁₃×#126	C₂²	semidirect
49. C₂×C₁₃×#126	C₂²	semidirect
50. C₂×C₁₃×#126	C₂²	semidirect
51. C₂×C₁₃×#126	C₂²	semidirect
52. C₂×C₁₃×#126	C₂²	semidirect
53. C₂×C₁₃×#126	C₂²	semidirect
54. C₂×C₁₃×#126	C₂²	semidirect
55. C₂×C₁₃×#125	C₂²	semidirect
56. C₂×C₁₃×#125	C₂²	semidirect
57. C₂×C₁₃×#125	C₂²	semidirect
60. C₂×C₁₃×#124	C₂²	semidirect
61. C₂×C₁₃×#124	C₂²	semidirect
62. C₂×C₁₃×#124	C₂²	semidirect
67. C₂×C₁₃×#123	C₂²	semidirect
68. C₂×C₁₃×#123	C₂²	semidirect
69. C₂×C₁₃×#123	C₂²	semidirect
70. C₂×C₁₃×#123	C₂²	semidirect
71. C₂×C₁₃×#123	C₂²	semidirect
72. C₂×C₁₃×#123	C₂²	semidirect
73. C₂×C₁₃×#123	C₂²	semidirect
74. C₂×C₁₃×#123	C₂²	semidirect
75. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
76. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
77. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
78. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
79. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
80. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
81. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
82. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
90. C₂×C₁₃×#121	C₂²	semidirect
91. C₂×C₁₃×#121	C₂²	semidirect
92. C₂×C₁₃×#121	C₂²	semidirect
93. C₂×C₁₃×#121	C₂²	semidirect
94. C₂×C₁₃×#121	C₂²	semidirect
95. C₂×C₁₃×#121	C₂²	semidirect
96. C₂×C₁₃×#121	C₂²	semidirect
97. C₂×C₁₃×#121	C₂²	semidirect
101. C₂×C₁₃×#120	C₂²	semidirect
102. C₂×C₁₃×#120	C₂²	semidirect
103. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
104. C₂×C₄×D₄×C₁₃	C₂²	semidirect
105. C₂×C₄×D₄×C₁₃	C₂²	semidirect
106. C₂×C₄×D₄×C₁₃	C₂²	semidirect
107. C₂×C₄×D₄×C₁₃	C₂²	semidirect
108. C₂×C₄×D₄×C₁₃	C₂²	semidirect
109. C₂×C₄×D₄×C₁₃	C₂²	semidirect
110. C₂×C₄×D₄×C₁₃	C₂²	semidirect
111. C₂×C₄×D₄×C₁₃	C₂²	semidirect
112. C₂×C₄×D₄×C₁₃	C₂²	semidirect
113. C₂×C₄×D₄×C₁₃	C₂²	semidirect
114. C₂×C₄×D₄×C₁₃	C₂²	semidirect
115. C₂×C₁₃×#117	C₂²	semidirect
116. C₂×C₁₃×#117	C₂²	semidirect
117. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
118. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
119. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
120. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
124. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
125. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
126. C₂²×C₄²×C₁₃	C₂²	semidirect
131. C₂×C₁₃×#41	C₂³	semidirect
132. C₂×C₁₃×#41	C₂³	semidirect
167. C₁₃×C₄⋊Q₈	C₂³	semidirect
168. C₁₃×C₄⋊Q₈	C₂³	semidirect
169. C₁₃×#127	C₂³	semidirect
170. C₁₃×#126	C₂³	semidirect
171. C₁₃×#126	C₂³	semidirect
172. C₁₃×#126	C₂³	semidirect
173. C₁₃×#126	C₂³	semidirect
174. C₁₃×#126	C₂³	semidirect
175. C₁₃×#126	C₂³	semidirect
176. C₁₃×#126	C₂³	semidirect
177. C₁₃×#126	C₂³	semidirect
178. C₁₃×#126	C₂³	semidirect
179. C₁₃×#125	C₂³	semidirect
180. C₁₃×#125	C₂³	semidirect
181. C₁₃×#125	C₂³	semidirect
184. C₁₃×#124	C₂³	semidirect
185. C₁₃×#124	C₂³	semidirect
186. C₁₃×#124	C₂³	semidirect
191. C₁₃×#123	C₂³	semidirect
192. C₁₃×#123	C₂³	semidirect
193. C₁₃×#123	C₂³	semidirect
194. C₁₃×#123	C₂³	semidirect
195. C₁₃×#123	C₂³	semidirect
196. C₁₃×#123	C₂³	semidirect
197. C₁₃×#123	C₂³	semidirect
198. C₁₃×#123	C₂³	semidirect
199. C₁₃×C₂²⋊Q₈	C₂³	semidirect
200. C₁₃×C₂²⋊Q₈	C₂³	semidirect
201. C₁₃×C₂²⋊Q₈	C₂³	semidirect
202. C₁₃×C₂²⋊Q₈	C₂³	semidirect
203. C₁₃×C₂²⋊Q₈	C₂³	semidirect
204. C₁₃×C₂²⋊Q₈	C₂³	semidirect
205. C₁₃×C₂²⋊Q₈	C₂³	semidirect
206. C₁₃×C₂²⋊Q₈	C₂³	semidirect
214. C₁₃×#121	C₂³	semidirect
215. C₁₃×#121	C₂³	semidirect
216. C₁₃×#121	C₂³	semidirect
217. C₁₃×#121	C₂³	semidirect
218. C₁₃×#121	C₂³	semidirect
219. C₁₃×#121	C₂³	semidirect
220. C₁₃×#121	C₂³	semidirect
221. C₁₃×#121	C₂³	semidirect
225. C₁₃×#120	C₂³	semidirect
226. C₁₃×#120	C₂³	semidirect
227. C₄×Q₈×C₁₃	C₂³	semidirect
228. C₄×D₄×C₁₃	C₂³	semidirect
229. C₄×D₄×C₁₃	C₂³	semidirect
230. C₄×D₄×C₁₃	C₂³	semidirect
231. C₄×D₄×C₁₃	C₂³	semidirect
232. C₄×D₄×C₁₃	C₂³	semidirect
233. C₄×D₄×C₁₃	C₂³	semidirect
234. C₄×D₄×C₁₃	C₂³	semidirect
235. C₄×D₄×C₁₃	C₂³	semidirect
236. C₄×D₄×C₁₃	C₂³	semidirect
237. C₄×D₄×C₁₃	C₂³	semidirect
238. C₄×D₄×C₁₃	C₂³	semidirect
239. C₁₃×#117	C₂³	semidirect
240. C₁₃×#117	C₂³	semidirect
262. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
263. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
264. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
265. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
294. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
295. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
303. C₂×C₄²×C₁₃	C₂³	semidirect
304. C₂×#3560	C₁₃	direct (N × H)
452. #3560	C₂×C₁₃	direct (N × H)
453. C₂×#563	C₂×C₁₃	semidirect
454. C₂×#560	C₂×C₁₃	semidirect
455. C₂×#553	C₂×C₁₃	semidirect
456. C₂×#553	C₂×C₁₃	semidirect
457. C₂×#551	C₂×C₁₃	semidirect
458. C₂×#547	C₂×C₁₃	semidirect
459. C₂×#546	C₂×C₁₃	semidirect
460. C₂×#546	C₂×C₁₃	semidirect
461. C₂×#542	C₂×C₁₃	semidirect
462. C₂×#539	C₂×C₁₃	semidirect
463. C₂×#539	C₂×C₁₃	semidirect
464. C₂×#538	C₂×C₁₃	semidirect
465. C₂×#538	C₂×C₁₃	semidirect
466. C₂×#538	C₂×C₁₃	semidirect
467. C₂×#537	C₂×C₁₃	semidirect
468. C₂×#534	C₂×C₁₃	semidirect
469. C₂×#532	C₂×C₁₃	semidirect
470. C₂×#529	C₂×C₁₃	semidirect
471. C₂²×#126	C₂×C₁₃	semidirect
561. C₂²×#41	C₂²×C₁₃	semidirect
562. C₂²×#41	C₂²×C₁₃	semidirect
564. #563	C₂²×C₁₃	semidirect
565. #560	C₂²×C₁₃	semidirect
566. #553	C₂²×C₁₃	semidirect
567. #553	C₂²×C₁₃	semidirect
568. #551	C₂²×C₁₃	semidirect
569. #547	C₂²×C₁₃	semidirect
570. #546	C₂²×C₁₃	semidirect
571. #546	C₂²×C₁₃	semidirect
572. #542	C₂²×C₁₃	semidirect
573. #539	C₂²×C₁₃	semidirect
574. #539	C₂²×C₁₃	semidirect
575. #538	C₂²×C₁₃	semidirect
576. #538	C₂²×C₁₃	semidirect
577. #538	C₂²×C₁₃	semidirect
578. #537	C₂²×C₁₃	semidirect
579. #534	C₂²×C₁₃	semidirect
580. #532	C₂²×C₁₃	semidirect
581. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
582. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
583. C₂×#127	C₂²×C₁₃	semidirect
584. #529	C₂²×C₁₃	semidirect
585. C₂×#126	C₂²×C₁₃	semidirect
586. C₂×#126	C₂²×C₁₃	semidirect
587. C₂×#126	C₂²×C₁₃	semidirect
588. C₂×#126	C₂²×C₁₃	semidirect
589. C₂×#126	C₂²×C₁₃	semidirect
590. C₂×#126	C₂²×C₁₃	semidirect
591. C₂×#126	C₂²×C₁₃	semidirect
592. C₂×#126	C₂²×C₁₃	semidirect
593. C₂×#126	C₂²×C₁₃	semidirect
594. C₂×#126	C₂²×C₁₃	semidirect
595. C₂×#125	C₂²×C₁₃	semidirect
596. C₂×#125	C₂²×C₁₃	semidirect
597. C₂×#125	C₂²×C₁₃	semidirect
600. C₂×#124	C₂²×C₁₃	semidirect
601. C₂×#124	C₂²×C₁₃	semidirect
602. C₂×#124	C₂²×C₁₃	semidirect
607. C₂×#123	C₂²×C₁₃	semidirect
608. C₂×#123	C₂²×C₁₃	semidirect
609. C₂×#123	C₂²×C₁₃	semidirect
610. C₂×#123	C₂²×C₁₃	semidirect
611. C₂×#123	C₂²×C₁₃	semidirect
612. C₂×#123	C₂²×C₁₃	semidirect
613. C₂×#123	C₂²×C₁₃	semidirect
614. C₂×#123	C₂²×C₁₃	semidirect
615. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
616. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
617. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
618. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
619. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
620. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
621. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
622. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
630. C₂×#121	C₂²×C₁₃	semidirect
631. C₂×#121	C₂²×C₁₃	semidirect
632. C₂×#121	C₂²×C₁₃	semidirect
633. C₂×#121	C₂²×C₁₃	semidirect
634. C₂×#121	C₂²×C₁₃	semidirect
635. C₂×#121	C₂²×C₁₃	semidirect
636. C₂×#121	C₂²×C₁₃	semidirect
637. C₂×#121	C₂²×C₁₃	semidirect
641. C₂×#120	C₂²×C₁₃	semidirect
642. C₂×#120	C₂²×C₁₃	semidirect
643. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
644. C₂×C₄×D₄	C₂²×C₁₃	semidirect
645. C₂×C₄×D₄	C₂²×C₁₃	semidirect
646. C₂×C₄×D₄	C₂²×C₁₃	semidirect
647. C₂×C₄×D₄	C₂²×C₁₃	semidirect
648. C₂×C₄×D₄	C₂²×C₁₃	semidirect
649. C₂×C₄×D₄	C₂²×C₁₃	semidirect
650. C₂×C₄×D₄	C₂²×C₁₃	semidirect
651. C₂×C₄×D₄	C₂²×C₁₃	semidirect
652. C₂×C₄×D₄	C₂²×C₁₃	semidirect
653. C₂×C₄×D₄	C₂²×C₁₃	semidirect
654. C₂×C₄×D₄	C₂²×C₁₃	semidirect
655. C₂×#117	C₂²×C₁₃	semidirect
656. C₂×#117	C₂²×C₁₃	semidirect
657. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
658. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
659. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
660. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
664. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
665. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
666. C₂²×C₄²	C₂²×C₁₃	semidirect
711. C₂×#41	C₂³×C₁₃	semidirect
712. C₂×#41	C₂³×C₁₃	semidirect
747. C₄⋊Q₈	C₂³×C₁₃	semidirect
748. C₄⋊Q₈	C₂³×C₁₃	semidirect
749. #127	C₂³×C₁₃	semidirect
750. #126	C₂³×C₁₃	semidirect
751. #126	C₂³×C₁₃	semidirect
752. #126	C₂³×C₁₃	semidirect
753. #126	C₂³×C₁₃	semidirect
754. #126	C₂³×C₁₃	semidirect
755. #126	C₂³×C₁₃	semidirect
756. #126	C₂³×C₁₃	semidirect
757. #126	C₂³×C₁₃	semidirect
758. #126	C₂³×C₁₃	semidirect
759. #125	C₂³×C₁₃	semidirect
760. #125	C₂³×C₁₃	semidirect
761. #125	C₂³×C₁₃	semidirect
764. #124	C₂³×C₁₃	semidirect
765. #124	C₂³×C₁₃	semidirect
766. #124	C₂³×C₁₃	semidirect
771. #123	C₂³×C₁₃	semidirect
772. #123	C₂³×C₁₃	semidirect
773. #123	C₂³×C₁₃	semidirect
774. #123	C₂³×C₁₃	semidirect
775. #123	C₂³×C₁₃	semidirect
776. #123	C₂³×C₁₃	semidirect
777. #123	C₂³×C₁₃	semidirect
778. #123	C₂³×C₁₃	semidirect
779. C₂²⋊Q₈	C₂³×C₁₃	semidirect
780. C₂²⋊Q₈	C₂³×C₁₃	semidirect
781. C₂²⋊Q₈	C₂³×C₁₃	semidirect
782. C₂²⋊Q₈	C₂³×C₁₃	semidirect
783. C₂²⋊Q₈	C₂³×C₁₃	semidirect
784. C₂²⋊Q₈	C₂³×C₁₃	semidirect
785. C₂²⋊Q₈	C₂³×C₁₃	semidirect
786. C₂²⋊Q₈	C₂³×C₁₃	semidirect
794. #121	C₂³×C₁₃	semidirect
795. #121	C₂³×C₁₃	semidirect
796. #121	C₂³×C₁₃	semidirect
797. #121	C₂³×C₁₃	semidirect
798. #121	C₂³×C₁₃	semidirect
799. #121	C₂³×C₁₃	semidirect
800. #121	C₂³×C₁₃	semidirect
801. #121	C₂³×C₁₃	semidirect
805. #120	C₂³×C₁₃	semidirect
806. #120	C₂³×C₁₃	semidirect
807. C₄×Q₈	C₂³×C₁₃	semidirect
808. C₄×D₄	C₂³×C₁₃	semidirect
809. C₄×D₄	C₂³×C₁₃	semidirect
810. C₄×D₄	C₂³×C₁₃	semidirect
811. C₄×D₄	C₂³×C₁₃	semidirect
812. C₄×D₄	C₂³×C₁₃	semidirect
813. C₄×D₄	C₂³×C₁₃	semidirect
814. C₄×D₄	C₂³×C₁₃	semidirect
815. C₄×D₄	C₂³×C₁₃	semidirect
816. C₄×D₄	C₂³×C₁₃	semidirect
817. C₄×D₄	C₂³×C₁₃	semidirect
818. C₄×D₄	C₂³×C₁₃	semidirect
819. #117	C₂³×C₁₃	semidirect
820. #117	C₂³×C₁₃	semidirect
842. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
843. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
844. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
845. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
874. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
875. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
883. C₂×C₄²	C₂³×C₁₃	semidirect
889. C₂×C₁₃	#3560	direct (N × H)
1040. C₁₃	C₂×#3560	direct (N × H)
1175. C₂	C₁₃×#3560	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₃×#3560	2
C₂×C₁₃×#563	2
C₂×C₁₃×#560	2
C₂×C₁₃×#553	2
C₂×C₁₃×#551	2
C₂×C₁₃×#547	2
C₂×C₁₃×#546	2
C₂×C₁₃×#542	2
C₂×C₁₃×#539	2
C₂×C₁₃×#538	2
C₂×C₁₃×#537	2
C₂×C₁₃×#534	2
C₂×C₁₃×#532	2
C₂×C₁₃×#529	2
C₂²×C₁₃×#126	2
C₂×#3560	13

Subgroups — C2×C13×#3560 #15749074

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3560 #15749074