Subgroups — C₂×C₁₃×#3562 #15749079

Order 3328.

7354 conjugacy classes of subgroups.

The subgroup lattice has 1348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3562	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₁₃×#562	C₂	1	2	yes	maximal, complemented
3	C₂×C₁₃×#560	C₂	1	2	yes	maximal, complemented
4	C₂×C₁₃×#559	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₃×#556	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×#553	C₂	1	2	yes	maximal, complemented
7	C₂×C₁₃×#551	C₂	1	2	yes	maximal, complemented
8	C₂×C₁₃×#550	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×C₁₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₁₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₁₃×#547	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×C₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₃×#540	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×#540	C₂	1	2	yes	maximal, complemented
17	C₂×C₁₃×#539	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×#538	C₂	1	2	yes	maximal, complemented
19	C₂×C₁₃×#538	C₂	1	2	yes	maximal, complemented
20	C₂×C₁₃×#536	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×#535	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₁₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
26	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
27	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
28	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
29	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
30	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
31	C₁₃×#562	C₂²	1	32	yes	complemented
32	C₁₃×#560	C₂²	1	32	yes	complemented
33	C₁₃×#559	C₂²	1	16	yes	complemented
34	C₁₃×#556	C₂²	1	16	yes	complemented
35	C₁₃×#553	C₂²	1	32	yes	complemented
36	C₁₃×#551	C₂²	1	32	yes	complemented
37	C₁₃×#550	C₂²	1	16	yes	complemented
38	C₁₃×#548	C₂²	1	16	yes	complemented
39	C₁₃×#548	C₂²	1	16	yes	complemented
40	C₁₃×#547	C₂²	1	16	yes	complemented
41	C₁₃×#546	C₂²	1	16	yes	complemented
42	C₁₃×#546	C₂²	1	16	yes	complemented
43	C₁₃×#541	C₂²	1	16	yes	complemented
44	C₁₃×#540	C₂²	1	16	yes	complemented
45	C₁₃×#540	C₂²	1	32	yes	complemented
46	C₁₃×#539	C₂²	1	32	yes	complemented
47	C₁₃×#538	C₂²	1	32	yes	complemented
48	C₁₃×#538	C₂²	1	32	yes	complemented
49	C₁₃×#536	C₂²	1	16	yes	complemented
50	C₁₃×#535	C₂²	1	16	yes	complemented
51	C₁₃×#532	C₂²	1	16	yes	complemented
52	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
55	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic
56	C₂×C₁₃×#127	C₂²	1	2	yes	complemented
57	C₁₃×#529	C₂²	1	16	yes	complemented
58	C₁₃×#529	C₂²	1	16	yes	complemented
59	C₂×C₁₃×#126	C₂²	1	2	yes	—
60	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
61	C₂×C₁₃×#126	C₂²	1	2	yes	—
62	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
63	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
64	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
66	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
67	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
70	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
71	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
72	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
73	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
74	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
75	C₂×C₁₃×#124	C₂²	1	2	yes	—
76	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
77	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
78	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₁₃×#123	C₂²	1	2	yes	—
80	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
81	C₂×C₁₃×#123	C₂²	1	2	yes	—
82	C₂×C₁₃×#123	C₂²	1	2	yes	—
83	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
84	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
85	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
86	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
87	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
88	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
89	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
90	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
91	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
92	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
93	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
94	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
96	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
97	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
98	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
100	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
101	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
102	C₂×C₁₃×#121	C₂²	1	2	yes	—
103	C₂×C₁₃×#121	C₂²	1	2	yes	—
104	C₂×C₁₃×#121	C₂²	1	2	yes	—
105	C₂×C₁₃×#121	C₂²	1	2	yes	—
106	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
107	C₂×C₁₃×#121	C₂²	1	2	yes	—
108	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
109	C₂×C₁₃×#121	C₂²	1	2	yes	—
110	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
111	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
112	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
113	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
114	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
115	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
116	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
117	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₁₃×#120	C₂²	1	2	yes	—
119	C₂×C₁₃×#120	C₂²	1	2	yes	—
120	C₂×C₁₃×#120	C₂²	1	2	yes	—
121	C₂×C₁₃×#120	C₂²	1	2	yes	—
122	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
127	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
128	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
129	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
130	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
131	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
133	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
134	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
135	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
136	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
137	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
139	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
140	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
142	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
143	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
144	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
145	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
146	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
147	C₂⁵×C₁₃	C₂³	1	2	yes	—
148	C₂×C₁₃×#41	—	4	4	no	—
149	C₂×C₁₃×#41	—	4	4	no	—
150	C₂×C₁₃×#41	—	4	4	no	—
151	C₂×C₁₃×#41	—	4	4	no	—
152	C₂×C₁₃×#41	C₂³	1	8	yes	—
153	C₂×C₁₃×#41	C₂³	1	8	yes	—
154	C₂×C₁₃×#41	C₂³	1	8	yes	—
155	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
156	C₂²×Q₈×C₁₃	—	4	4	no	—
157	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
158	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
159	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
160	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
161	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
162	C₂²×Q₈×C₁₃	C₂³	1	8	yes	complemented
163	C₂²×D₄×C₁₃	—	4	4	no	—
164	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
165	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
166	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
167	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
168	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
169	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
170	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
171	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
172	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
173	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
174	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
175	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
176	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
177	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
178	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
179	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
180	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
181	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
182	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
183	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
184	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
185	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
186	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
187	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
188	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
189	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
190	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
191	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
192	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
193	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
194	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
195	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
196	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
197	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
198	C₁₃×#127	C₂³	1	8	yes	—
199	C₁₃×#127	C₂³	1	8	yes	—
200	C₁₃×#127	C₂³	1	16	yes	complemented
201	C₁₃×#126	C₂³	1	8	yes	—
202	C₁₃×#126	C₂³	1	16	yes	—
203	C₁₃×#126	C₂³	1	16	yes	—
204	C₁₃×#126	C₂³	1	16	yes	complemented
205	C₁₃×#126	C₂³	1	8	yes	complemented
206	C₁₃×#126	C₂³	1	16	yes	complemented
207	C₁₃×#126	C₂³	1	16	yes	complemented
208	C₁₃×#125	C₂³	1	8	yes	complemented
209	C₁₃×#125	C₂³	1	8	yes	complemented
210	C₁₃×#125	C₂³	1	16	yes	complemented
211	C₁₃×#125	C₂³	1	16	yes	complemented
212	C₁₃×#124	C₂³	1	8	yes	—
213	C₁₃×#124	C₂³	1	8	yes	—
214	C₁₃×#124	C₂³	1	8	yes	—
215	C₁₃×#124	C₂³	1	8	yes	—
216	C₁₃×#124	C₂³	1	8	yes	—
217	C₁₃×#124	C₂³	1	16	yes	—
218	C₁₃×#124	C₂³	1	8	yes	complemented
219	C₁₃×#124	C₂³	1	16	yes	complemented
220	C₁₃×#124	C₂³	1	16	yes	complemented
221	C₁₃×#123	C₂³	1	8	yes	—
222	C₁₃×#123	C₂³	1	16	yes	—
223	C₁₃×#123	C₂³	1	16	yes	—
224	C₁₃×#123	C₂³	1	16	yes	—
225	C₁₃×#123	C₂³	1	8	yes	complemented
226	C₁₃×#123	C₂³	1	16	yes	complemented
227	C₁₃×#123	C₂³	1	16	yes	complemented
228	C₁₃×#123	C₂³	1	16	yes	complemented
229	C₁₃×#123	C₂³	1	16	yes	complemented
230	C₁₃×#123	C₂³	1	16	yes	complemented
231	C₁₃×#123	C₂³	1	16	yes	complemented
232	C₁₃×#123	C₂³	1	16	yes	complemented
233	C₁₃×#123	C₂³	1	16	yes	complemented
234	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
235	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
236	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
237	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
238	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
239	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
240	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
241	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
242	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
243	C₁₃×#121	C₂³	1	8	yes	—
244	C₁₃×#121	C₂³	1	8	yes	—
245	C₁₃×#121	C₂³	1	16	yes	—
246	C₁₃×#121	C₂³	1	16	yes	—
247	C₁₃×#121	C₂³	1	16	yes	—
248	C₁₃×#121	C₂³	1	16	yes	—
249	C₁₃×#121	C₂³	1	8	yes	—
250	C₁₃×#121	C₂³	1	16	yes	—
251	C₁₃×#121	C₂³	1	16	yes	—
252	C₁₃×#121	C₂³	1	16	yes	complemented
253	C₁₃×#121	C₂³	1	16	yes	complemented
254	C₁₃×#121	C₂³	1	16	yes	complemented
255	C₁₃×#121	C₂³	1	16	yes	complemented
256	C₁₃×#121	C₂³	1	16	yes	complemented
257	C₁₃×#121	C₂³	1	8	yes	complemented
258	C₁₃×#121	C₂³	1	16	yes	complemented
259	C₁₃×#121	C₂³	1	16	yes	complemented
260	C₁₃×#120	C₂³	1	16	yes	—
261	C₁₃×#120	C₂³	1	16	yes	—
262	C₁₃×#120	C₂³	1	16	yes	—
263	C₁₃×#120	C₂³	1	16	yes	—
264	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
265	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
266	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
267	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
268	C₄×D₄×C₁₃	C₂³	1	8	yes	—
269	C₄×D₄×C₁₃	C₂³	1	8	yes	—
270	C₄×D₄×C₁₃	C₂³	1	8	yes	—
271	C₄×D₄×C₁₃	C₂³	1	8	yes	—
272	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
273	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
274	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
275	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
276	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
277	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
278	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
279	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
280	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
281	C₁₃×#117	C₂³	1	8	yes	—
282	C₁₃×#117	C₂³	1	8	yes	complemented
283	C₁₃×#117	C₂³	1	16	yes	complemented
284	C₁₃×#117	C₂³	1	16	yes	complemented
285	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
287	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
288	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
289	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
293	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
296	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
302	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
303	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
304	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
305	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
306	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
308	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
309	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	complemented
310	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
313	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
314	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
315	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
316	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
317	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
318	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
319	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
320	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
323	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
324	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
327	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
328	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
329	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
330	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
332	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
333	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
334	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
335	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
336	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
337	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
338	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
339	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
340	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
341	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
342	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
345	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
347	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
349	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
350	C₂×C₄²×C₁₃	C₂³	1	8	yes	complemented
351	C₂×#3562	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
352	C₂⁴×C₁₃	—	4	4	no	—
353	C₂⁴×C₁₃	—	4	4	no	—
354	C₂⁴×C₁₃	—	4	4	no	—
355	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
357	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
358	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
361	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
362	C₁₃×#41	—	4	16	no	—
363	C₁₃×#41	—	4	16	no	—
364	C₁₃×#41	—	4	16	no	—
365	C₁₃×#41	—	4	16	no	—
366	C₂×Q₈×C₁₃	—	2	4	no	—
367	C₂×Q₈×C₁₃	—	2	4	no	—
368	C₂×Q₈×C₁₃	—	2	4	no	—
369	C₂×Q₈×C₁₃	—	4	4	no	—
370	C₂×Q₈×C₁₃	—	4	2	no	—
371	C₂×Q₈×C₁₃	—	4	16	no	—
372	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
373	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
374	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
375	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
376	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
377	C₂×D₄×C₁₃	—	2	4	no	—
378	C₂×D₄×C₁₃	—	2	4	no	—
379	C₂×D₄×C₁₃	—	2	4	no	—
380	C₂×D₄×C₁₃	—	4	16	no	—
381	C₂×D₄×C₁₃	—	4	4	no	—
382	C₂×D₄×C₁₃	—	4	2	no	—
383	C₂×D₄×C₁₃	—	4	4	no	—
384	C₂×D₄×C₁₃	—	4	4	no	—
385	C₂×D₄×C₁₃	—	4	4	no	—
386	C₂×D₄×C₁₃	—	4	4	no	—
387	C₂×D₄×C₁₃	—	4	4	no	—
388	C₂×D₄×C₁₃	—	4	2	no	—
389	C₂×D₄×C₁₃	—	4	4	no	—
390	C₂×D₄×C₁₃	—	4	2	no	—
391	C₂×D₄×C₁₃	—	4	4	no	—
392	C₂×D₄×C₁₃	—	4	4	no	—
393	C₂×D₄×C₁₃	—	4	4	no	—
394	C₂×D₄×C₁₃	—	4	4	no	—
395	C₂×D₄×C₁₃	—	4	4	no	—
396	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
397	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
398	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
399	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
400	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
401	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
402	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
403	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
404	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
405	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
406	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
407	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
408	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
409	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
410	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
411	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
412	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
413	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
414	C₂²×C₄×C₁₃	—	2	4	no	—
415	C₂²×C₄×C₁₃	—	2	4	no	—
416	C₂²×C₄×C₁₃	—	2	4	no	—
417	C₂²×C₄×C₁₃	—	4	4	no	—
418	C₂²×C₄×C₁₃	—	4	2	no	—
419	C₂²×C₄×C₁₃	—	4	4	no	—
420	C₂²×C₄×C₁₃	—	4	4	no	—
421	C₂²×C₄×C₁₃	—	4	2	no	—
422	C₂²×C₄×C₁₃	—	4	4	no	—
423	C₂²×C₄×C₁₃	—	4	4	no	—
424	C₂²×C₄×C₁₃	—	4	4	no	—
425	C₂²×C₄×C₁₃	—	4	4	no	—
426	C₂²×C₄×C₁₃	—	4	4	no	—
427	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
428	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
429	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
430	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
436	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
437	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
438	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
441	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
442	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
443	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
444	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
447	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
448	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
449	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
450	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
451	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
452	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
453	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
454	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
455	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
456	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
457	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
458	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
459	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
460	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
461	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
462	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
463	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
464	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
465	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
466	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
467	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
468	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
469	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
470	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
471	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
472	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
473	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
474	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
475	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
476	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
477	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
478	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
479	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
480	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
481	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
482	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
483	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
484	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
485	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
486	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
487	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
488	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
489	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
490	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
491	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
492	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
493	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
494	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
495	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
496	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
497	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
498	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
499	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
500	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
501	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
502	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
503	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
504	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
505	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
506	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
507	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
508	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
509	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
510	C₄²×C₁₃	C₂⁴	1	4	yes	—
511	C₄²×C₁₃	C₂⁴	1	4	yes	—
512	C₄²×C₁₃	C₂⁴	1	4	yes	—
513	C₄²×C₁₃	C₂⁴	1	4	yes	—
514	C₄²×C₁₃	C₂⁴	1	4	yes	—
515	C₄²×C₁₃	C₂⁴	1	8	yes	—
516	C₄²×C₁₃	C₂⁴	1	4	yes	—
517	C₄²×C₁₃	C₂⁴	1	8	yes	—
518	C₄²×C₁₃	C₂⁴	1	8	yes	—
519	#3562	C₂×C₁₃	1	32	yes	direct product factor
520	C₂×#562	C₂×C₁₃	1	2	yes	complemented
521	C₂×#560	C₂×C₁₃	1	2	yes	complemented
522	C₂×#559	C₂×C₁₃	1	1	yes	characteristic, complemented
523	C₂×#556	C₂×C₁₃	1	1	yes	characteristic, complemented
524	C₂×#553	C₂×C₁₃	1	2	yes	complemented
525	C₂×#551	C₂×C₁₃	1	2	yes	complemented
526	C₂×#550	C₂×C₁₃	1	1	yes	characteristic, complemented
527	C₂×#548	C₂×C₁₃	1	1	yes	characteristic, complemented
528	C₂×#548	C₂×C₁₃	1	1	yes	characteristic, complemented
529	C₂×#547	C₂×C₁₃	1	1	yes	characteristic, complemented
530	C₂×#546	C₂×C₁₃	1	1	yes	characteristic, complemented
531	C₂×#546	C₂×C₁₃	1	1	yes	characteristic, complemented
532	C₂×#541	C₂×C₁₃	1	1	yes	characteristic, complemented
533	C₂×#540	C₂×C₁₃	1	1	yes	characteristic, complemented
534	C₂×#540	C₂×C₁₃	1	2	yes	complemented
535	C₂×#539	C₂×C₁₃	1	2	yes	complemented
536	C₂×#538	C₂×C₁₃	1	2	yes	complemented
537	C₂×#538	C₂×C₁₃	1	2	yes	complemented
538	C₂×#536	C₂×C₁₃	1	1	yes	characteristic, complemented
539	C₂×#535	C₂×C₁₃	1	1	yes	characteristic, complemented
540	C₂×#532	C₂×C₁₃	1	1	yes	characteristic, complemented
541	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
542	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
543	C₂³×C₁₃	—	2	2	no	—
544	C₂³×C₁₃	—	2	2	no	—
545	C₂³×C₁₃	—	2	2	no	—
546	C₂³×C₁₃	—	2	4	no	—
547	C₂³×C₁₃	—	2	4	no	—
548	C₂³×C₁₃	—	2	4	no	—
549	C₂³×C₁₃	—	2	2	no	—
550	C₂³×C₁₃	—	2	2	no	—
551	C₂³×C₁₃	—	2	4	no	—
552	C₂³×C₁₃	—	2	4	no	—
553	C₂³×C₁₃	—	2	4	no	—
554	C₂³×C₁₃	—	2	2	no	—
555	C₂³×C₁₃	—	2	2	no	—
556	C₂³×C₁₃	—	2	4	no	—
557	C₂³×C₁₃	—	2	4	no	—
558	C₂³×C₁₃	—	2	4	no	—
559	C₂³×C₁₃	—	2	2	no	—
560	C₂³×C₁₃	—	2	2	no	—
561	C₂³×C₁₃	—	4	8	no	—
562	C₂³×C₁₃	—	4	8	no	—
563	C₂³×C₁₃	—	4	8	no	—
564	C₂³×C₁₃	—	8	16	no	—
565	C₂³×C₁₃	C₂⁵	1	2	yes	—
566	C₂³×C₁₃	C₂⁵	1	4	yes	—
567	C₂³×C₁₃	C₂⁵	1	4	yes	—
568	C₂³×C₁₃	C₂⁵	1	2	yes	—
569	C₂³×C₁₃	C₂⁵	1	2	yes	—
570	C₂³×C₁₃	C₂⁵	1	4	yes	—
571	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
572	Q₈×C₁₃	—	2	8	no	—
573	Q₈×C₁₃	—	2	8	no	—
574	Q₈×C₁₃	—	2	8	no	—
575	Q₈×C₁₃	—	4	8	no	—
576	Q₈×C₁₃	—	4	4	no	—
577	D₄×C₁₃	—	2	8	no	—
578	D₄×C₁₃	—	2	8	no	—
579	D₄×C₁₃	—	2	8	no	—
580	D₄×C₁₃	—	4	8	no	—
581	D₄×C₁₃	—	4	4	no	—
582	D₄×C₁₃	—	4	8	no	—
583	D₄×C₁₃	—	4	8	no	—
584	D₄×C₁₃	—	4	8	no	—
585	D₄×C₁₃	—	4	8	no	—
586	D₄×C₁₃	—	4	8	no	—
587	D₄×C₁₃	—	4	4	no	—
588	D₄×C₁₃	—	4	8	no	—
589	D₄×C₁₃	—	4	4	no	—
590	D₄×C₁₃	—	4	8	no	—
591	D₄×C₁₃	—	4	8	no	—
592	D₄×C₁₃	—	4	8	no	—
593	D₄×C₁₃	—	4	8	no	—
594	D₄×C₁₃	—	4	8	no	—
595	C₂×C₄×C₁₃	—	2	2	no	—
596	C₂×C₄×C₁₃	—	2	2	no	—
597	C₂×C₄×C₁₃	—	2	2	no	—
598	C₂×C₄×C₁₃	—	2	4	no	—
599	C₂×C₄×C₁₃	—	2	4	no	—
600	C₂×C₄×C₁₃	—	2	4	no	—
601	C₂×C₄×C₁₃	—	2	2	no	—
602	C₂×C₄×C₁₃	—	2	4	no	—
603	C₂×C₄×C₁₃	—	2	2	no	—
604	C₂×C₄×C₁₃	—	2	2	no	—
605	C₂×C₄×C₁₃	—	2	2	no	—
606	C₂×C₄×C₁₃	—	2	4	no	—
607	C₂×C₄×C₁₃	—	2	2	no	—
608	C₂×C₄×C₁₃	—	2	2	no	—
609	C₂×C₄×C₁₃	—	2	2	no	—
610	C₂×C₄×C₁₃	—	2	2	no	—
611	C₂×C₄×C₁₃	—	2	8	no	—
612	C₂×C₄×C₁₃	—	2	8	no	—
613	C₂×C₄×C₁₃	—	2	8	no	—
614	C₂×C₄×C₁₃	—	4	8	no	—
615	C₂×C₄×C₁₃	—	4	4	no	—
616	C₂×C₄×C₁₃	—	4	8	no	—
617	C₂×C₄×C₁₃	—	4	8	no	—
618	C₂×C₄×C₁₃	—	4	4	no	—
619	C₂×C₄×C₁₃	—	4	8	no	—
620	C₂×C₄×C₁₃	—	4	8	no	—
621	C₂×C₄×C₁₃	—	4	8	no	—
622	C₂×C₄×C₁₃	—	4	8	no	—
623	C₂×C₄×C₁₃	—	4	8	no	—
624	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
625	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
626	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
627	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
628	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
629	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
630	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
631	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
632	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
633	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
634	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
635	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
636	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
637	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
638	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
639	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
640	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
641	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
642	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
643	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
644	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
645	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
646	C₂³×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
647	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
648	#562	C₂²×C₁₃	1	32	yes	complemented
649	#560	C₂²×C₁₃	1	32	yes	complemented
650	#559	C₂²×C₁₃	1	16	yes	complemented
651	#556	C₂²×C₁₃	1	16	yes	complemented
652	#553	C₂²×C₁₃	1	32	yes	complemented
653	#551	C₂²×C₁₃	1	32	yes	complemented
654	#550	C₂²×C₁₃	1	16	yes	complemented
655	#548	C₂²×C₁₃	1	16	yes	complemented
656	#548	C₂²×C₁₃	1	16	yes	complemented
657	#547	C₂²×C₁₃	1	16	yes	complemented
658	#546	C₂²×C₁₃	1	16	yes	complemented
659	#546	C₂²×C₁₃	1	16	yes	complemented
660	#541	C₂²×C₁₃	1	16	yes	complemented
661	#540	C₂²×C₁₃	1	16	yes	complemented
662	#540	C₂²×C₁₃	1	32	yes	complemented
663	#539	C₂²×C₁₃	1	32	yes	complemented
664	#538	C₂²×C₁₃	1	32	yes	complemented
665	#538	C₂²×C₁₃	1	32	yes	complemented
666	#536	C₂²×C₁₃	1	16	yes	complemented
667	#535	C₂²×C₁₃	1	16	yes	complemented
668	#532	C₂²×C₁₃	1	16	yes	complemented
669	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
670	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
671	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
672	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic
673	C₂×#127	C₂²×C₁₃	1	2	yes	complemented
674	#529	C₂²×C₁₃	1	16	yes	complemented
675	#529	C₂²×C₁₃	1	16	yes	complemented
676	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
677	C₂×#126	C₂²×C₁₃	1	2	yes	—
678	C₂×#126	C₂²×C₁₃	1	2	yes	—
679	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
680	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
682	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
683	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
685	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
686	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
687	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
688	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
689	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
690	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
691	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
692	C₂×#124	C₂²×C₁₃	1	2	yes	—
693	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
694	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
695	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
696	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
697	C₂×#123	C₂²×C₁₃	1	2	yes	—
698	C₂×#123	C₂²×C₁₃	1	2	yes	—
699	C₂×#123	C₂²×C₁₃	1	2	yes	—
700	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
702	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
703	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
704	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
705	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
706	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
707	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
708	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
709	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
710	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
711	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
712	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
714	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
715	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
716	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
717	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
718	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
719	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
720	C₂×#121	C₂²×C₁₃	1	2	yes	—
721	C₂×#121	C₂²×C₁₃	1	2	yes	—
722	C₂×#121	C₂²×C₁₃	1	2	yes	—
723	C₂×#121	C₂²×C₁₃	1	2	yes	—
724	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
725	C₂×#121	C₂²×C₁₃	1	2	yes	—
726	C₂×#121	C₂²×C₁₃	1	2	yes	—
727	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
728	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
729	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
730	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
731	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
732	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
733	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
734	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
735	C₂×#120	C₂²×C₁₃	1	2	yes	—
736	C₂×#120	C₂²×C₁₃	1	2	yes	—
737	C₂×#120	C₂²×C₁₃	1	2	yes	—
738	C₂×#120	C₂²×C₁₃	1	2	yes	—
739	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
740	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
741	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
742	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
743	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
744	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
745	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
746	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
747	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
748	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
749	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
750	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
751	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
752	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
753	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
754	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
755	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
756	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
757	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
758	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
759	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
760	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
761	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
762	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
763	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
764	C₂²×C₁₃	—	2	2	no	—
765	C₂²×C₁₃	—	2	2	no	—
766	C₂²×C₁₃	—	2	2	no	—
767	C₂²×C₁₃	—	2	4	no	—
768	C₂²×C₁₃	—	2	4	no	—
769	C₂²×C₁₃	—	2	4	no	—
770	C₂²×C₁₃	—	2	2	no	—
771	C₂²×C₁₃	—	2	2	no	—
772	C₂²×C₁₃	—	2	4	no	—
773	C₂²×C₁₃	—	2	4	no	—
774	C₂²×C₁₃	—	2	4	no	—
775	C₂²×C₁₃	—	2	2	no	—
776	C₂²×C₁₃	—	2	2	no	—
777	C₂²×C₁₃	—	2	4	no	—
778	C₂²×C₁₃	—	2	4	no	—
779	C₂²×C₁₃	—	2	4	no	—
780	C₂²×C₁₃	—	2	2	no	—
781	C₂²×C₁₃	—	2	2	no	—
782	C₂²×C₁₃	—	4	4	no	—
783	C₂²×C₁₃	—	4	4	no	—
784	C₂²×C₁₃	—	4	8	no	—
785	C₂²×C₁₃	—	4	8	no	—
786	C₂²×C₁₃	—	4	8	no	—
787	C₂²×C₁₃	—	4	4	no	—
788	C₂²×C₁₃	—	8	16	no	—
789	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
790	C₂²×C₁₃	#585	1	2	yes	—
791	C₂²×C₁₃	#585	1	2	yes	—
792	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
793	C₄×C₁₃	—	2	2	no	—
794	C₄×C₁₃	—	2	2	no	—
795	C₄×C₁₃	—	2	2	no	—
796	C₄×C₁₃	—	2	4	no	—
797	C₄×C₁₃	—	2	4	no	—
798	C₄×C₁₃	—	2	4	no	—
799	C₄×C₁₃	—	2	2	no	—
800	C₄×C₁₃	—	2	4	no	—
801	C₄×C₁₃	—	2	2	no	—
802	C₄×C₁₃	—	2	2	no	—
803	C₄×C₁₃	—	2	2	no	—
804	C₄×C₁₃	—	2	4	no	—
805	C₄×C₁₃	—	2	2	no	—
806	C₄×C₁₃	—	2	2	no	—
807	C₄×C₁₃	—	2	2	no	—
808	C₄×C₁₃	—	2	2	no	—
809	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
810	C₂⁵	C₂³×C₁₃	1	2	yes	—
811	C₂×#41	—	4	4	no	—
812	C₂×#41	—	4	4	no	—
813	C₂×#41	—	4	4	no	—
814	C₂×#41	—	4	4	no	—
815	C₂×#41	C₂³×C₁₃	1	8	yes	—
816	C₂×#41	C₂³×C₁₃	1	8	yes	—
817	C₂×#41	C₂³×C₁₃	1	8	yes	—
818	C₂×#41	C₂³×C₁₃	1	8	yes	complemented
819	C₂²×Q₈	—	4	4	no	—
820	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
821	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
822	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
823	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
824	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
825	C₂²×Q₈	C₂³×C₁₃	1	8	yes	complemented
826	C₂²×D₄	—	4	4	no	—
827	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
828	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
829	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
830	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
831	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
832	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
833	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
834	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
835	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
836	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
837	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
838	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
839	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
840	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
841	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
842	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
843	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
844	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
845	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
846	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
847	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
848	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
849	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
850	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
851	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
852	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
853	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
854	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
855	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
856	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
857	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
858	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
859	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
860	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
861	#127	C₂³×C₁₃	1	8	yes	—
862	#127	C₂³×C₁₃	1	8	yes	—
863	#127	C₂³×C₁₃	1	16	yes	complemented
864	#126	C₂³×C₁₃	1	8	yes	—
865	#126	C₂³×C₁₃	1	16	yes	—
866	#126	C₂³×C₁₃	1	16	yes	—
867	#126	C₂³×C₁₃	1	16	yes	complemented
868	#126	C₂³×C₁₃	1	8	yes	complemented
869	#126	C₂³×C₁₃	1	16	yes	complemented
870	#126	C₂³×C₁₃	1	16	yes	complemented
871	#125	C₂³×C₁₃	1	8	yes	complemented
872	#125	C₂³×C₁₃	1	8	yes	complemented
873	#125	C₂³×C₁₃	1	16	yes	complemented
874	#125	C₂³×C₁₃	1	16	yes	complemented
875	#124	C₂³×C₁₃	1	8	yes	—
876	#124	C₂³×C₁₃	1	8	yes	—
877	#124	C₂³×C₁₃	1	8	yes	—
878	#124	C₂³×C₁₃	1	8	yes	—
879	#124	C₂³×C₁₃	1	8	yes	—
880	#124	C₂³×C₁₃	1	16	yes	—
881	#124	C₂³×C₁₃	1	8	yes	complemented
882	#124	C₂³×C₁₃	1	16	yes	complemented
883	#124	C₂³×C₁₃	1	16	yes	complemented
884	#123	C₂³×C₁₃	1	8	yes	—
885	#123	C₂³×C₁₃	1	16	yes	—
886	#123	C₂³×C₁₃	1	16	yes	—
887	#123	C₂³×C₁₃	1	16	yes	—
888	#123	C₂³×C₁₃	1	8	yes	complemented
889	#123	C₂³×C₁₃	1	16	yes	complemented
890	#123	C₂³×C₁₃	1	16	yes	complemented
891	#123	C₂³×C₁₃	1	16	yes	complemented
892	#123	C₂³×C₁₃	1	16	yes	complemented
893	#123	C₂³×C₁₃	1	16	yes	complemented
894	#123	C₂³×C₁₃	1	16	yes	complemented
895	#123	C₂³×C₁₃	1	16	yes	complemented
896	#123	C₂³×C₁₃	1	16	yes	complemented
897	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
898	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
899	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
900	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
901	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
902	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
903	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
904	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
905	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
906	#121	C₂³×C₁₃	1	8	yes	—
907	#121	C₂³×C₁₃	1	8	yes	—
908	#121	C₂³×C₁₃	1	16	yes	—
909	#121	C₂³×C₁₃	1	16	yes	—
910	#121	C₂³×C₁₃	1	16	yes	—
911	#121	C₂³×C₁₃	1	16	yes	—
912	#121	C₂³×C₁₃	1	8	yes	—
913	#121	C₂³×C₁₃	1	16	yes	—
914	#121	C₂³×C₁₃	1	16	yes	—
915	#121	C₂³×C₁₃	1	16	yes	complemented
916	#121	C₂³×C₁₃	1	16	yes	complemented
917	#121	C₂³×C₁₃	1	16	yes	complemented
918	#121	C₂³×C₁₃	1	16	yes	complemented
919	#121	C₂³×C₁₃	1	16	yes	complemented
920	#121	C₂³×C₁₃	1	8	yes	complemented
921	#121	C₂³×C₁₃	1	16	yes	complemented
922	#121	C₂³×C₁₃	1	16	yes	complemented
923	#120	C₂³×C₁₃	1	16	yes	—
924	#120	C₂³×C₁₃	1	16	yes	—
925	#120	C₂³×C₁₃	1	16	yes	—
926	#120	C₂³×C₁₃	1	16	yes	—
927	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
928	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
929	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
930	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
931	C₄×D₄	C₂³×C₁₃	1	8	yes	—
932	C₄×D₄	C₂³×C₁₃	1	8	yes	—
933	C₄×D₄	C₂³×C₁₃	1	8	yes	—
934	C₄×D₄	C₂³×C₁₃	1	8	yes	—
935	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
936	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
937	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
938	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
939	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
940	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
941	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
942	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
943	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
944	#117	C₂³×C₁₃	1	8	yes	—
945	#117	C₂³×C₁₃	1	8	yes	complemented
946	#117	C₂³×C₁₃	1	16	yes	complemented
947	#117	C₂³×C₁₃	1	16	yes	complemented
948	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
950	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
951	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
952	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
954	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
955	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
956	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
959	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
965	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
966	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
967	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
968	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
969	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
971	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
972	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	complemented
973	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
975	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
976	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
977	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
978	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
979	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
980	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
981	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
982	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
983	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
984	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
985	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
986	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
987	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
988	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
989	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
990	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
991	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
992	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
993	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
994	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
995	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
996	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
997	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
998	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
999	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1000	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1001	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1003	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1004	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1005	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1006	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1007	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1009	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1010	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1011	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1012	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂×C₄²	C₂³×C₁₃	1	8	yes	complemented
1014	C₂×C₁₃	—	4	2	no	—
1015	C₂×C₁₃	—	4	2	no	—
1016	C₂×C₁₃	—	4	4	no	—
1017	C₂×C₁₃	—	4	4	no	—
1018	C₂×C₁₃	—	4	4	no	—
1019	C₂×C₁₃	—	4	2	no	—
1020	C₂×C₁₃	#3562	1	4	yes	direct product factor
1021	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1022	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1023	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1024	C₂⁴	—	4	4	no	—
1025	C₂⁴	—	4	4	no	—
1026	C₂⁴	—	4	4	no	—
1027	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1028	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1029	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1030	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1031	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1032	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1033	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
1034	#41	—	4	16	no	—
1035	#41	—	4	16	no	—
1036	#41	—	4	16	no	—
1037	#41	—	4	16	no	—
1038	C₂×Q₈	—	2	4	no	—
1039	C₂×Q₈	—	2	4	no	—
1040	C₂×Q₈	—	2	4	no	—
1041	C₂×Q₈	—	4	4	no	—
1042	C₂×Q₈	—	4	2	no	—
1043	C₂×Q₈	—	4	16	no	—
1044	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1045	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1046	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1047	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1048	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1049	C₂×D₄	—	2	4	no	—
1050	C₂×D₄	—	2	4	no	—
1051	C₂×D₄	—	2	4	no	—
1052	C₂×D₄	—	4	16	no	—
1053	C₂×D₄	—	4	4	no	—
1054	C₂×D₄	—	4	4	no	—
1055	C₂×D₄	—	4	4	no	—
1056	C₂×D₄	—	4	4	no	—
1057	C₂×D₄	—	4	4	no	—
1058	C₂×D₄	—	4	2	no	—
1059	C₂×D₄	—	4	4	no	—
1060	C₂×D₄	—	4	4	no	—
1061	C₂×D₄	—	4	4	no	—
1062	C₂×D₄	—	4	4	no	—
1063	C₂×D₄	—	4	4	no	—
1064	C₂×D₄	—	4	2	no	—
1065	C₂×D₄	—	4	4	no	—
1066	C₂×D₄	—	4	2	no	—
1067	C₂×D₄	—	4	4	no	—
1068	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1069	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1070	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1071	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1072	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1073	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1074	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1075	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1076	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1077	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1078	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1079	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1080	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1081	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1082	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1083	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1084	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1085	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1086	C₂²×C₄	—	2	4	no	—
1087	C₂²×C₄	—	2	4	no	—
1088	C₂²×C₄	—	2	4	no	—
1089	C₂²×C₄	—	4	4	no	—
1090	C₂²×C₄	—	4	4	no	—
1091	C₂²×C₄	—	4	4	no	—
1092	C₂²×C₄	—	4	4	no	—
1093	C₂²×C₄	—	4	4	no	—
1094	C₂²×C₄	—	4	4	no	—
1095	C₂²×C₄	—	4	2	no	—
1096	C₂²×C₄	—	4	4	no	—
1097	C₂²×C₄	—	4	4	no	—
1098	C₂²×C₄	—	4	2	no	—
1099	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1100	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1101	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1102	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1103	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1106	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1110	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1111	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1112	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1113	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1114	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1115	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1116	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1117	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1118	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1119	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1120	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1121	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1122	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1123	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1124	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1125	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1126	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1127	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1128	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1129	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1130	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1131	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1132	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1133	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1134	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1135	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1136	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1137	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1138	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1139	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1140	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1141	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1142	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1143	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1144	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1145	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1146	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1147	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1148	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1149	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1150	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1151	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1152	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1153	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1154	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1155	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1156	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1157	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1158	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1159	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1160	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1161	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1162	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1163	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1164	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1165	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1166	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1167	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1168	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1169	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1170	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1171	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1172	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1173	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1174	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1175	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1176	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1177	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1178	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1179	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1180	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1181	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1182	C₄²	C₂⁴×C₁₃	1	4	yes	—
1183	C₄²	C₂⁴×C₁₃	1	4	yes	—
1184	C₄²	C₂⁴×C₁₃	1	4	yes	—
1185	C₄²	C₂⁴×C₁₃	1	4	yes	—
1186	C₄²	C₂⁴×C₁₃	1	4	yes	—
1187	C₄²	C₂⁴×C₁₃	1	8	yes	—
1188	C₄²	C₂⁴×C₁₃	1	4	yes	—
1189	C₄²	C₂⁴×C₁₃	1	8	yes	—
1190	C₄²	C₂⁴×C₁₃	1	8	yes	—
1191	C₁₃	C₂×#3562	1	1	yes	characteristic, direct product factor, Sylow
1192	C₂³	—	2	2	no	—
1193	C₂³	—	2	2	no	—
1194	C₂³	—	2	2	no	—
1195	C₂³	—	2	4	no	—
1196	C₂³	—	2	4	no	—
1197	C₂³	—	2	4	no	—
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	4	no	—
1201	C₂³	—	2	4	no	—
1202	C₂³	—	2	4	no	—
1203	C₂³	—	2	2	no	—
1204	C₂³	—	2	2	no	—
1205	C₂³	—	2	4	no	—
1206	C₂³	—	2	4	no	—
1207	C₂³	—	2	4	no	—
1208	C₂³	—	2	2	no	—
1209	C₂³	—	2	2	no	—
1210	C₂³	—	4	8	no	—
1211	C₂³	—	4	8	no	—
1212	C₂³	—	4	8	no	—
1213	C₂³	—	8	16	no	—
1214	C₂³	C₂⁵×C₁₃	1	2	yes	—
1215	C₂³	C₂⁵×C₁₃	1	4	yes	—
1216	C₂³	C₂⁵×C₁₃	1	4	yes	—
1217	C₂³	C₂⁵×C₁₃	1	2	yes	—
1218	C₂³	C₂⁵×C₁₃	1	2	yes	—
1219	C₂³	C₂⁵×C₁₃	1	4	yes	—
1220	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1221	Q₈	—	2	8	no	—
1222	Q₈	—	2	8	no	—
1223	Q₈	—	2	8	no	—
1224	Q₈	—	4	8	no	—
1225	Q₈	—	4	4	no	—
1226	D₄	—	2	8	no	—
1227	D₄	—	2	8	no	—
1228	D₄	—	2	8	no	—
1229	D₄	—	4	8	no	—
1230	D₄	—	4	4	no	—
1231	D₄	—	4	8	no	—
1232	D₄	—	4	8	no	—
1233	D₄	—	4	8	no	—
1234	D₄	—	4	8	no	—
1235	D₄	—	4	8	no	—
1236	D₄	—	4	4	no	—
1237	D₄	—	4	8	no	—
1238	D₄	—	4	4	no	—
1239	D₄	—	4	8	no	—
1240	D₄	—	4	8	no	—
1241	D₄	—	4	8	no	—
1242	D₄	—	4	8	no	—
1243	D₄	—	4	8	no	—
1244	C₂×C₄	—	2	2	no	—
1245	C₂×C₄	—	2	2	no	—
1246	C₂×C₄	—	2	2	no	—
1247	C₂×C₄	—	2	4	no	—
1248	C₂×C₄	—	2	4	no	—
1249	C₂×C₄	—	2	4	no	—
1250	C₂×C₄	—	2	2	no	—
1251	C₂×C₄	—	2	4	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	4	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	2	no	—
1258	C₂×C₄	—	2	2	no	—
1259	C₂×C₄	—	2	2	no	—
1260	C₂×C₄	—	2	8	no	—
1261	C₂×C₄	—	2	8	no	—
1262	C₂×C₄	—	2	8	no	—
1263	C₂×C₄	—	4	8	no	—
1264	C₂×C₄	—	4	4	no	—
1265	C₂×C₄	—	4	8	no	—
1266	C₂×C₄	—	4	8	no	—
1267	C₂×C₄	—	4	4	no	—
1268	C₂×C₄	—	4	8	no	—
1269	C₂×C₄	—	4	8	no	—
1270	C₂×C₄	—	4	8	no	—
1271	C₂×C₄	—	4	8	no	—
1272	C₂×C₄	—	4	8	no	—
1273	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1274	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1275	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1276	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1277	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1278	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1279	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1280	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1281	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1282	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1283	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1284	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1285	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1286	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1287	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1288	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1289	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1290	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	—	2	4	no	—
1295	C₂²	—	2	4	no	—
1296	C₂²	—	2	4	no	—
1297	C₂²	—	2	2	no	—
1298	C₂²	—	2	2	no	—
1299	C₂²	—	2	4	no	—
1300	C₂²	—	2	4	no	—
1301	C₂²	—	2	4	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	2	no	—
1304	C₂²	—	2	4	no	—
1305	C₂²	—	2	4	no	—
1306	C₂²	—	2	4	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	4	4	no	—
1310	C₂²	—	4	4	no	—
1311	C₂²	—	4	8	no	—
1312	C₂²	—	4	8	no	—
1313	C₂²	—	4	8	no	—
1314	C₂²	—	4	4	no	—
1315	C₂²	—	8	16	no	—
1316	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1317	C₂²	C₁₃×#585	1	2	yes	—
1318	C₂²	C₁₃×#585	1	2	yes	—
1319	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1320	C₄	—	2	2	no	—
1321	C₄	—	2	2	no	—
1322	C₄	—	2	2	no	—
1323	C₄	—	2	4	no	—
1324	C₄	—	2	4	no	—
1325	C₄	—	2	4	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	4	no	—
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	2	no	—
1331	C₄	—	2	4	no	—
1332	C₄	—	2	2	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	2	2	no	—
1335	C₄	—	2	2	no	—
1336	C₄	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
1337	C₂	—	4	2	no	—
1338	C₂	—	4	4	no	—
1339	C₂	—	4	4	no	—
1340	C₂	—	4	2	no	—
1341	C₂	—	4	2	no	—
1342	C₂	—	4	4	no	—
1343	C₂	C₁₃×#3562	1	4	yes	direct product factor
1344	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1345	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1346	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×#3562	C₂	direct (N × H)
2. C₂×C₁₃×#562	C₂	semidirect
3. C₂×C₁₃×#560	C₂	semidirect
4. C₂×C₁₃×#559	C₂	semidirect
5. C₂×C₁₃×#556	C₂	semidirect
6. C₂×C₁₃×#553	C₂	semidirect
7. C₂×C₁₃×#551	C₂	semidirect
8. C₂×C₁₃×#550	C₂	semidirect
9. C₂×C₁₃×#548	C₂	semidirect
10. C₂×C₁₃×#548	C₂	semidirect
11. C₂×C₁₃×#547	C₂	semidirect
12. C₂×C₁₃×#546	C₂	semidirect
13. C₂×C₁₃×#546	C₂	semidirect
14. C₂×C₁₃×#541	C₂	semidirect
15. C₂×C₁₃×#540	C₂	semidirect
16. C₂×C₁₃×#540	C₂	semidirect
17. C₂×C₁₃×#539	C₂	semidirect
18. C₂×C₁₃×#538	C₂	semidirect
19. C₂×C₁₃×#538	C₂	semidirect
20. C₂×C₁₃×#536	C₂	semidirect
21. C₂×C₁₃×#535	C₂	semidirect
22. C₂×C₁₃×#532	C₂	semidirect
23. C₂×C₁₃×#529	C₂	semidirect
24. C₂×C₁₃×#529	C₂	semidirect
28. C₂²×C₁₃×#41	C₂²	semidirect
29. C₂³×Q₈×C₁₃	C₂²	semidirect
31. C₁₃×#562	C₂²	semidirect
32. C₁₃×#560	C₂²	semidirect
33. C₁₃×#559	C₂²	semidirect
34. C₁₃×#556	C₂²	semidirect
35. C₁₃×#553	C₂²	semidirect
36. C₁₃×#551	C₂²	semidirect
37. C₁₃×#550	C₂²	semidirect
38. C₁₃×#548	C₂²	semidirect
39. C₁₃×#548	C₂²	semidirect
40. C₁₃×#547	C₂²	semidirect
41. C₁₃×#546	C₂²	semidirect
42. C₁₃×#546	C₂²	semidirect
43. C₁₃×#541	C₂²	semidirect
44. C₁₃×#540	C₂²	semidirect
45. C₁₃×#540	C₂²	semidirect
46. C₁₃×#539	C₂²	semidirect
47. C₁₃×#538	C₂²	semidirect
48. C₁₃×#538	C₂²	semidirect
49. C₁₃×#536	C₂²	semidirect
50. C₁₃×#535	C₂²	semidirect
51. C₁₃×#532	C₂²	semidirect
52. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
53. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
56. C₂×C₁₃×#127	C₂²	semidirect
57. C₁₃×#529	C₂²	semidirect
58. C₁₃×#529	C₂²	semidirect
62. C₂×C₁₃×#126	C₂²	semidirect
63. C₂×C₁₃×#126	C₂²	semidirect
64. C₂×C₁₃×#126	C₂²	semidirect
65. C₂×C₁₃×#126	C₂²	semidirect
66. C₂×C₁₃×#125	C₂²	semidirect
67. C₂×C₁₃×#125	C₂²	semidirect
68. C₂×C₁₃×#125	C₂²	semidirect
69. C₂×C₁₃×#125	C₂²	semidirect
76. C₂×C₁₃×#124	C₂²	semidirect
77. C₂×C₁₃×#124	C₂²	semidirect
78. C₂×C₁₃×#124	C₂²	semidirect
83. C₂×C₁₃×#123	C₂²	semidirect
84. C₂×C₁₃×#123	C₂²	semidirect
85. C₂×C₁₃×#123	C₂²	semidirect
86. C₂×C₁₃×#123	C₂²	semidirect
87. C₂×C₁₃×#123	C₂²	semidirect
88. C₂×C₁₃×#123	C₂²	semidirect
89. C₂×C₁₃×#123	C₂²	semidirect
90. C₂×C₁₃×#123	C₂²	semidirect
91. C₂×C₁₃×#123	C₂²	semidirect
94. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
95. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
96. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
97. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
98. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
99. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
100. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
110. C₂×C₁₃×#121	C₂²	semidirect
111. C₂×C₁₃×#121	C₂²	semidirect
112. C₂×C₁₃×#121	C₂²	semidirect
113. C₂×C₁₃×#121	C₂²	semidirect
114. C₂×C₁₃×#121	C₂²	semidirect
115. C₂×C₁₃×#121	C₂²	semidirect
116. C₂×C₁₃×#121	C₂²	semidirect
117. C₂×C₁₃×#121	C₂²	semidirect
122. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
123. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
124. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
125. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
130. C₂×C₄×D₄×C₁₃	C₂²	semidirect
131. C₂×C₄×D₄×C₁₃	C₂²	semidirect
132. C₂×C₄×D₄×C₁₃	C₂²	semidirect
133. C₂×C₄×D₄×C₁₃	C₂²	semidirect
134. C₂×C₄×D₄×C₁₃	C₂²	semidirect
135. C₂×C₄×D₄×C₁₃	C₂²	semidirect
136. C₂×C₄×D₄×C₁₃	C₂²	semidirect
137. C₂×C₄×D₄×C₁₃	C₂²	semidirect
138. C₂×C₄×D₄×C₁₃	C₂²	semidirect
140. C₂×C₁₃×#117	C₂²	semidirect
141. C₂×C₁₃×#117	C₂²	semidirect
142. C₂×C₁₃×#117	C₂²	semidirect
143. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
146. C₂²×C₄²×C₁₃	C₂²	semidirect
155. C₂×C₁₃×#41	C₂³	semidirect
162. C₂²×Q₈×C₁₃	C₂³	semidirect
196. C₁₃×C₄⋊Q₈	C₂³	semidirect
197. C₁₃×C₄⋊Q₈	C₂³	semidirect
200. C₁₃×#127	C₂³	semidirect
204. C₁₃×#126	C₂³	semidirect
205. C₁₃×#126	C₂³	semidirect
206. C₁₃×#126	C₂³	semidirect
207. C₁₃×#126	C₂³	semidirect
208. C₁₃×#125	C₂³	semidirect
209. C₁₃×#125	C₂³	semidirect
210. C₁₃×#125	C₂³	semidirect
211. C₁₃×#125	C₂³	semidirect
218. C₁₃×#124	C₂³	semidirect
219. C₁₃×#124	C₂³	semidirect
220. C₁₃×#124	C₂³	semidirect
225. C₁₃×#123	C₂³	semidirect
226. C₁₃×#123	C₂³	semidirect
227. C₁₃×#123	C₂³	semidirect
228. C₁₃×#123	C₂³	semidirect
229. C₁₃×#123	C₂³	semidirect
230. C₁₃×#123	C₂³	semidirect
231. C₁₃×#123	C₂³	semidirect
232. C₁₃×#123	C₂³	semidirect
233. C₁₃×#123	C₂³	semidirect
236. C₁₃×C₂²⋊Q₈	C₂³	semidirect
237. C₁₃×C₂²⋊Q₈	C₂³	semidirect
238. C₁₃×C₂²⋊Q₈	C₂³	semidirect
239. C₁₃×C₂²⋊Q₈	C₂³	semidirect
240. C₁₃×C₂²⋊Q₈	C₂³	semidirect
241. C₁₃×C₂²⋊Q₈	C₂³	semidirect
242. C₁₃×C₂²⋊Q₈	C₂³	semidirect
252. C₁₃×#121	C₂³	semidirect
253. C₁₃×#121	C₂³	semidirect
254. C₁₃×#121	C₂³	semidirect
255. C₁₃×#121	C₂³	semidirect
256. C₁₃×#121	C₂³	semidirect
257. C₁₃×#121	C₂³	semidirect
258. C₁₃×#121	C₂³	semidirect
259. C₁₃×#121	C₂³	semidirect
264. C₄×Q₈×C₁₃	C₂³	semidirect
265. C₄×Q₈×C₁₃	C₂³	semidirect
266. C₄×Q₈×C₁₃	C₂³	semidirect
267. C₄×Q₈×C₁₃	C₂³	semidirect
272. C₄×D₄×C₁₃	C₂³	semidirect
273. C₄×D₄×C₁₃	C₂³	semidirect
274. C₄×D₄×C₁₃	C₂³	semidirect
275. C₄×D₄×C₁₃	C₂³	semidirect
276. C₄×D₄×C₁₃	C₂³	semidirect
277. C₄×D₄×C₁₃	C₂³	semidirect
278. C₄×D₄×C₁₃	C₂³	semidirect
279. C₄×D₄×C₁₃	C₂³	semidirect
280. C₄×D₄×C₁₃	C₂³	semidirect
282. C₁₃×#117	C₂³	semidirect
283. C₁₃×#117	C₂³	semidirect
284. C₁₃×#117	C₂³	semidirect
309. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
350. C₂×C₄²×C₁₃	C₂³	semidirect
351. C₂×#3562	C₁₃	direct (N × H)
519. #3562	C₂×C₁₃	direct (N × H)
520. C₂×#562	C₂×C₁₃	semidirect
521. C₂×#560	C₂×C₁₃	semidirect
522. C₂×#559	C₂×C₁₃	semidirect
523. C₂×#556	C₂×C₁₃	semidirect
524. C₂×#553	C₂×C₁₃	semidirect
525. C₂×#551	C₂×C₁₃	semidirect
526. C₂×#550	C₂×C₁₃	semidirect
527. C₂×#548	C₂×C₁₃	semidirect
528. C₂×#548	C₂×C₁₃	semidirect
529. C₂×#547	C₂×C₁₃	semidirect
530. C₂×#546	C₂×C₁₃	semidirect
531. C₂×#546	C₂×C₁₃	semidirect
532. C₂×#541	C₂×C₁₃	semidirect
533. C₂×#540	C₂×C₁₃	semidirect
534. C₂×#540	C₂×C₁₃	semidirect
535. C₂×#539	C₂×C₁₃	semidirect
536. C₂×#538	C₂×C₁₃	semidirect
537. C₂×#538	C₂×C₁₃	semidirect
538. C₂×#536	C₂×C₁₃	semidirect
539. C₂×#535	C₂×C₁₃	semidirect
540. C₂×#532	C₂×C₁₃	semidirect
541. C₂×#529	C₂×C₁₃	semidirect
542. C₂×#529	C₂×C₁₃	semidirect
645. C₂²×#41	C₂²×C₁₃	semidirect
646. C₂³×Q₈	C₂²×C₁₃	semidirect
648. #562	C₂²×C₁₃	semidirect
649. #560	C₂²×C₁₃	semidirect
650. #559	C₂²×C₁₃	semidirect
651. #556	C₂²×C₁₃	semidirect
652. #553	C₂²×C₁₃	semidirect
653. #551	C₂²×C₁₃	semidirect
654. #550	C₂²×C₁₃	semidirect
655. #548	C₂²×C₁₃	semidirect
656. #548	C₂²×C₁₃	semidirect
657. #547	C₂²×C₁₃	semidirect
658. #546	C₂²×C₁₃	semidirect
659. #546	C₂²×C₁₃	semidirect
660. #541	C₂²×C₁₃	semidirect
661. #540	C₂²×C₁₃	semidirect
662. #540	C₂²×C₁₃	semidirect
663. #539	C₂²×C₁₃	semidirect
664. #538	C₂²×C₁₃	semidirect
665. #538	C₂²×C₁₃	semidirect
666. #536	C₂²×C₁₃	semidirect
667. #535	C₂²×C₁₃	semidirect
668. #532	C₂²×C₁₃	semidirect
669. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
670. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
673. C₂×#127	C₂²×C₁₃	semidirect
674. #529	C₂²×C₁₃	semidirect
675. #529	C₂²×C₁₃	semidirect
679. C₂×#126	C₂²×C₁₃	semidirect
680. C₂×#126	C₂²×C₁₃	semidirect
681. C₂×#126	C₂²×C₁₃	semidirect
682. C₂×#126	C₂²×C₁₃	semidirect
683. C₂×#125	C₂²×C₁₃	semidirect
684. C₂×#125	C₂²×C₁₃	semidirect
685. C₂×#125	C₂²×C₁₃	semidirect
686. C₂×#125	C₂²×C₁₃	semidirect
693. C₂×#124	C₂²×C₁₃	semidirect
694. C₂×#124	C₂²×C₁₃	semidirect
695. C₂×#124	C₂²×C₁₃	semidirect
700. C₂×#123	C₂²×C₁₃	semidirect
701. C₂×#123	C₂²×C₁₃	semidirect
702. C₂×#123	C₂²×C₁₃	semidirect
703. C₂×#123	C₂²×C₁₃	semidirect
704. C₂×#123	C₂²×C₁₃	semidirect
705. C₂×#123	C₂²×C₁₃	semidirect
706. C₂×#123	C₂²×C₁₃	semidirect
707. C₂×#123	C₂²×C₁₃	semidirect
708. C₂×#123	C₂²×C₁₃	semidirect
711. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
712. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
713. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
714. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
715. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
716. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
717. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
727. C₂×#121	C₂²×C₁₃	semidirect
728. C₂×#121	C₂²×C₁₃	semidirect
729. C₂×#121	C₂²×C₁₃	semidirect
730. C₂×#121	C₂²×C₁₃	semidirect
731. C₂×#121	C₂²×C₁₃	semidirect
732. C₂×#121	C₂²×C₁₃	semidirect
733. C₂×#121	C₂²×C₁₃	semidirect
734. C₂×#121	C₂²×C₁₃	semidirect
739. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
740. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
741. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
742. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
747. C₂×C₄×D₄	C₂²×C₁₃	semidirect
748. C₂×C₄×D₄	C₂²×C₁₃	semidirect
749. C₂×C₄×D₄	C₂²×C₁₃	semidirect
750. C₂×C₄×D₄	C₂²×C₁₃	semidirect
751. C₂×C₄×D₄	C₂²×C₁₃	semidirect
752. C₂×C₄×D₄	C₂²×C₁₃	semidirect
753. C₂×C₄×D₄	C₂²×C₁₃	semidirect
754. C₂×C₄×D₄	C₂²×C₁₃	semidirect
755. C₂×C₄×D₄	C₂²×C₁₃	semidirect
757. C₂×#117	C₂²×C₁₃	semidirect
758. C₂×#117	C₂²×C₁₃	semidirect
759. C₂×#117	C₂²×C₁₃	semidirect
760. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
763. C₂²×C₄²	C₂²×C₁₃	semidirect
818. C₂×#41	C₂³×C₁₃	semidirect
825. C₂²×Q₈	C₂³×C₁₃	semidirect
859. C₄⋊Q₈	C₂³×C₁₃	semidirect
860. C₄⋊Q₈	C₂³×C₁₃	semidirect
863. #127	C₂³×C₁₃	semidirect
867. #126	C₂³×C₁₃	semidirect
868. #126	C₂³×C₁₃	semidirect
869. #126	C₂³×C₁₃	semidirect
870. #126	C₂³×C₁₃	semidirect
871. #125	C₂³×C₁₃	semidirect
872. #125	C₂³×C₁₃	semidirect
873. #125	C₂³×C₁₃	semidirect
874. #125	C₂³×C₁₃	semidirect
881. #124	C₂³×C₁₃	semidirect
882. #124	C₂³×C₁₃	semidirect
883. #124	C₂³×C₁₃	semidirect
888. #123	C₂³×C₁₃	semidirect
889. #123	C₂³×C₁₃	semidirect
890. #123	C₂³×C₁₃	semidirect
891. #123	C₂³×C₁₃	semidirect
892. #123	C₂³×C₁₃	semidirect
893. #123	C₂³×C₁₃	semidirect
894. #123	C₂³×C₁₃	semidirect
895. #123	C₂³×C₁₃	semidirect
896. #123	C₂³×C₁₃	semidirect
899. C₂²⋊Q₈	C₂³×C₁₃	semidirect
900. C₂²⋊Q₈	C₂³×C₁₃	semidirect
901. C₂²⋊Q₈	C₂³×C₁₃	semidirect
902. C₂²⋊Q₈	C₂³×C₁₃	semidirect
903. C₂²⋊Q₈	C₂³×C₁₃	semidirect
904. C₂²⋊Q₈	C₂³×C₁₃	semidirect
905. C₂²⋊Q₈	C₂³×C₁₃	semidirect
915. #121	C₂³×C₁₃	semidirect
916. #121	C₂³×C₁₃	semidirect
917. #121	C₂³×C₁₃	semidirect
918. #121	C₂³×C₁₃	semidirect
919. #121	C₂³×C₁₃	semidirect
920. #121	C₂³×C₁₃	semidirect
921. #121	C₂³×C₁₃	semidirect
922. #121	C₂³×C₁₃	semidirect
927. C₄×Q₈	C₂³×C₁₃	semidirect
928. C₄×Q₈	C₂³×C₁₃	semidirect
929. C₄×Q₈	C₂³×C₁₃	semidirect
930. C₄×Q₈	C₂³×C₁₃	semidirect
935. C₄×D₄	C₂³×C₁₃	semidirect
936. C₄×D₄	C₂³×C₁₃	semidirect
937. C₄×D₄	C₂³×C₁₃	semidirect
938. C₄×D₄	C₂³×C₁₃	semidirect
939. C₄×D₄	C₂³×C₁₃	semidirect
940. C₄×D₄	C₂³×C₁₃	semidirect
941. C₄×D₄	C₂³×C₁₃	semidirect
942. C₄×D₄	C₂³×C₁₃	semidirect
943. C₄×D₄	C₂³×C₁₃	semidirect
945. #117	C₂³×C₁₃	semidirect
946. #117	C₂³×C₁₃	semidirect
947. #117	C₂³×C₁₃	semidirect
972. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
1013. C₂×C₄²	C₂³×C₁₃	semidirect
1020. C₂×C₁₃	#3562	direct (N × H)
1191. C₁₃	C₂×#3562	direct (N × H)
1343. C₂	C₁₃×#3562	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×#3562	2
C₂×C₁₃×#562	2
C₂×C₁₃×#560	2
C₂×C₁₃×#559	2
C₂×C₁₃×#556	2
C₂×C₁₃×#553	2
C₂×C₁₃×#551	2
C₂×C₁₃×#550	2
C₂×C₁₃×#548	2
C₂×C₁₃×#547	2
C₂×C₁₃×#546	2
C₂×C₁₃×#541	2
C₂×C₁₃×#540	2
C₂×C₁₃×#539	2
C₂×C₁₃×#538	2
C₂×C₁₃×#536	2
C₂×C₁₃×#535	2
C₂×C₁₃×#532	2
C₂×C₁₃×#529	2
C₂×#3562	13

Subgroups — C2×C13×#3562 #15749079

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3562 #15749079