Subgroups — C₂×C₁₃×#3521 #15749119

Order 3328.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1292 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3521	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₁₃×#556	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₃×#556	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₁₃×#554	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×#553	C₂	1	2	yes	maximal, complemented
7	C₂×C₁₃×#552	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₃×#552	C₂	1	2	yes	maximal, complemented
9	C₂×C₁₃×#551	C₂	1	2	yes	maximal, complemented
10	C₂×C₁₃×#551	C₂	1	2	yes	maximal, 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×#542	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₃×#541	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₃×#539	C₂	1	2	yes	maximal, complemented
17	C₂×C₁₃×#538	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₃×#529	C₂	1	2	yes	maximal, complemented
20	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×C₁₃×#126	C₂	1	2	yes	maximal, complemented
22	C₂×C₁₃×#520	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#518	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄×C₁₃×#41	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	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
28	C₁₃×#556	C₂²	1	16	yes	complemented
29	C₁₃×#556	C₂²	1	16	yes	complemented
30	C₁₃×#554	C₂²	1	16	yes	complemented
31	C₁₃×#553	C₂²	1	16	yes	complemented
32	C₁₃×#553	C₂²	1	32	yes	complemented
33	C₁₃×#552	C₂²	1	16	yes	complemented
34	C₁₃×#552	C₂²	1	32	yes	complemented
35	C₁₃×#551	C₂²	1	32	yes	complemented
36	C₁₃×#551	C₂²	1	32	yes	complemented
37	C₁₃×#547	C₂²	1	16	yes	complemented
38	C₁₃×#546	C₂²	1	16	yes	complemented
39	C₁₃×#546	C₂²	1	16	yes	complemented
40	C₁₃×#542	C₂²	1	16	yes	complemented
41	C₁₃×#541	C₂²	1	16	yes	complemented
42	C₁₃×#539	C₂²	1	32	yes	complemented
43	C₁₃×#538	C₂²	1	32	yes	complemented
44	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#529	C₂²	1	16	yes	complemented
47	C₁₃×#529	C₂²	1	32	yes	complemented
48	C₁₃×#529	C₂²	1	16	yes	complemented
49	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
50	C₂×C₁₃×#126	C₂²	1	2	yes	—
51	C₂×C₁₃×#126	C₂²	1	2	yes	—
52	C₂×C₁₃×#126	C₂²	1	2	yes	—
53	C₂×C₁₃×#126	C₂²	1	2	yes	—
54	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
55	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
56	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
57	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
58	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic, complemented
59	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
60	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
61	C₂×C₁₃×#126	C₂²	1	32	yes	complemented
62	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
63	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
64	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₁₃×#125	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×#124	C₂²	1	1	yes	characteristic
69	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
70	C₂×C₁₃×#124	C₂²	1	2	yes	—
71	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
72	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
73	C₂×C₁₃×#123	C₂²	1	2	yes	—
74	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
75	C₂×C₁₃×#123	C₂²	1	2	yes	—
76	C₂×C₁₃×#123	C₂²	1	2	yes	—
77	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
78	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
79	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
81	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
82	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
83	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
84	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
85	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
88	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
89	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
90	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
91	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
93	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
94	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
95	C₂×C₁₃×#121	C₂²	1	2	yes	—
96	C₂×C₁₃×#121	C₂²	1	2	yes	—
97	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
98	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
99	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
100	C₂×C₁₃×#120	C₂²	1	2	yes	—
101	C₂×C₁₃×#120	C₂²	1	2	yes	—
102	C₁₃×#520	C₂²	1	16	yes	complemented
103	C₁₃×#518	C₂²	1	16	yes	complemented
104	C₄×C₁₃×#41	C₂²	1	16	yes	complemented
105	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
108	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄×Q₈×C₁₃	C₂²	1	2	yes	complemented
110	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
111	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
112	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
113	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
114	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
115	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
116	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	—
117	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
118	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
119	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
120	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
121	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
122	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
123	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
124	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
125	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
127	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
128	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
129	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
130	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
131	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
134	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
135	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
136	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
137	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
138	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
139	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
140	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
141	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
142	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
143	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
144	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	—
145	C₂²×C₄²×C₁₃	C₂²	1	2	yes	complemented
146	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
147	C₂⁵×C₁₃	C₂³	1	2	yes	—
148	C₂×C₁₃×#41	—	2	8	no	—
149	C₂×C₁₃×#41	—	2	8	no	—
150	C₂×C₁₃×#41	C₂³	1	8	yes	—
151	C₂×C₁₃×#41	C₂³	1	8	yes	—
152	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
153	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
154	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
155	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
156	C₂²×D₄×C₁₃	—	2	8	no	—
157	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
158	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
159	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
160	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
161	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
162	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
163	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
165	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
166	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
167	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
168	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
169	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
170	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
171	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
172	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
173	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
174	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
175	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
176	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
177	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
178	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
179	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
180	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
181	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
182	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
183	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
184	C₁₃×#126	C₂³	1	8	yes	—
185	C₁₃×#126	C₂³	1	16	yes	—
186	C₁₃×#126	C₂³	1	16	yes	—
187	C₁₃×#126	C₂³	1	16	yes	—
188	C₁₃×#126	C₂³	1	16	yes	—
189	C₁₃×#126	C₂³	1	16	yes	complemented
190	C₁₃×#126	C₂³	1	16	yes	complemented
191	C₁₃×#126	C₂³	1	16	yes	complemented
192	C₁₃×#126	C₂³	1	16	yes	complemented
193	C₁₃×#126	C₂³	1	8	yes	complemented
194	C₁₃×#126	C₂³	1	16	yes	complemented
195	C₁₃×#126	C₂³	1	16	yes	complemented
196	C₁₃×#125	C₂³	1	16	yes	complemented
197	C₁₃×#125	C₂³	1	8	yes	complemented
198	C₁₃×#125	C₂³	1	8	yes	complemented
199	C₁₃×#125	C₂³	1	16	yes	complemented
200	C₁₃×#125	C₂³	1	16	yes	complemented
201	C₁₃×#125	C₂³	1	8	yes	complemented
202	C₁₃×#124	C₂³	1	8	yes	—
203	C₁₃×#124	C₂³	1	8	yes	—
204	C₁₃×#124	C₂³	1	16	yes	—
205	C₁₃×#124	C₂³	1	8	yes	—
206	C₁₃×#124	C₂³	1	16	yes	complemented
207	C₁₃×#123	C₂³	1	16	yes	—
208	C₁₃×#123	C₂³	1	8	yes	—
209	C₁₃×#123	C₂³	1	16	yes	—
210	C₁₃×#123	C₂³	1	16	yes	—
211	C₁₃×#123	C₂³	1	16	yes	complemented
212	C₁₃×#123	C₂³	1	16	yes	complemented
213	C₁₃×#123	C₂³	1	8	yes	complemented
214	C₁₃×#123	C₂³	1	16	yes	complemented
215	C₁₃×#123	C₂³	1	16	yes	complemented
216	C₁₃×#123	C₂³	1	16	yes	complemented
217	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
218	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
219	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
220	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
221	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
222	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
223	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
224	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
225	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
226	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
227	C₁₃×#121	C₂³	1	8	yes	—
228	C₁₃×#121	C₂³	1	8	yes	—
229	C₁₃×#121	C₂³	1	16	yes	—
230	C₁₃×#121	C₂³	1	16	yes	—
231	C₁₃×#121	C₂³	1	8	yes	—
232	C₁₃×#121	C₂³	1	16	yes	complemented
233	C₁₃×#121	C₂³	1	16	yes	complemented
234	C₁₃×#120	C₂³	1	16	yes	—
235	C₁₃×#120	C₂³	1	16	yes	—
236	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
237	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
238	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
239	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
240	C₄×Q₈×C₁₃	C₂³	1	16	yes	complemented
241	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
242	C₄×D₄×C₁₃	C₂³	1	8	yes	—
243	C₄×D₄×C₁₃	C₂³	1	8	yes	—
244	C₄×D₄×C₁₃	C₂³	1	16	yes	—
245	C₄×D₄×C₁₃	C₂³	1	8	yes	—
246	C₄×D₄×C₁₃	C₂³	1	8	yes	—
247	C₄×D₄×C₁₃	C₂³	1	16	yes	—
248	C₄×D₄×C₁₃	C₂³	1	8	yes	—
249	C₄×D₄×C₁₃	C₂³	1	8	yes	—
250	C₄×D₄×C₁₃	C₂³	1	8	yes	—
251	C₄×D₄×C₁₃	C₂³	1	8	yes	—
252	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
253	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
254	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
255	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
256	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
257	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
258	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
259	C₁₃×#117	C₂³	1	8	yes	—
260	C₁₃×#117	C₂³	1	8	yes	—
261	C₁₃×#117	C₂³	1	16	yes	complemented
262	C₁₃×#117	C₂³	1	8	yes	complemented
263	C₁₃×#117	C₂³	1	8	yes	complemented
264	C₁₃×#117	C₂³	1	16	yes	complemented
265	C₁₃×#117	C₂³	1	16	yes	complemented
266	C₁₃×#117	C₂³	1	16	yes	complemented
267	C₁₃×#117	C₂³	1	16	yes	complemented
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
270	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
274	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
275	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
277	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
278	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
279	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
281	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
282	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
289	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
290	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
291	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
297	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	complemented
299	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
300	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	complemented
301	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	complemented
302	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
304	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
308	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
309	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
310	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
311	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
312	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
313	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
314	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	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	2	yes	—
319	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
320	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	—
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	2	yes	—
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	2	yes	—
330	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
331	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
332	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
333	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
335	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
336	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
337	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
338	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
339	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
340	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
341	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
342	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
344	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
345	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
346	C₂×C₄²×C₁₃	C₂³	1	16	yes	complemented
347	C₂×C₄²×C₁₃	C₂³	1	8	yes	complemented
348	C₂×#3521	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
349	C₂⁴×C₁₃	—	2	8	no	—
350	C₂⁴×C₁₃	—	4	4	no	—
351	C₂⁴×C₁₃	—	4	4	no	—
352	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
354	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
357	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
358	C₁₃×#41	—	2	32	no	—
359	C₁₃×#41	—	2	32	no	—
360	C₂×Q₈×C₁₃	—	2	4	no	—
361	C₂×Q₈×C₁₃	—	2	4	no	—
362	C₂×Q₈×C₁₃	—	4	2	no	—
363	C₂×Q₈×C₁₃	—	4	4	no	—
364	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
365	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
366	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
367	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
368	C₂×D₄×C₁₃	—	2	8	no	—
369	C₂×D₄×C₁₃	—	2	8	no	—
370	C₂×D₄×C₁₃	—	2	8	no	—
371	C₂×D₄×C₁₃	—	2	32	no	—
372	C₂×D₄×C₁₃	—	2	4	no	—
373	C₂×D₄×C₁₃	—	4	4	no	—
374	C₂×D₄×C₁₃	—	4	2	no	—
375	C₂×D₄×C₁₃	—	4	2	no	—
376	C₂×D₄×C₁₃	—	4	4	no	—
377	C₂×D₄×C₁₃	—	4	2	no	—
378	C₂×D₄×C₁₃	#41	1	8	yes	—
379	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
380	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
381	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
382	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
383	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
384	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
385	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
386	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
387	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
388	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
389	C₂²×C₄×C₁₃	—	2	8	no	—
390	C₂²×C₄×C₁₃	—	2	8	no	—
391	C₂²×C₄×C₁₃	—	2	4	no	—
392	C₂²×C₄×C₁₃	—	2	4	no	—
393	C₂²×C₄×C₁₃	—	2	4	no	—
394	C₂²×C₄×C₁₃	—	4	4	no	—
395	C₂²×C₄×C₁₃	—	4	2	no	—
396	C₂²×C₄×C₁₃	—	4	4	no	—
397	C₂²×C₄×C₁₃	—	4	4	no	—
398	C₂²×C₄×C₁₃	—	4	4	no	—
399	C₂²×C₄×C₁₃	—	4	4	no	—
400	C₂²×C₄×C₁₃	—	4	2	no	—
401	C₂²×C₄×C₁₃	—	4	4	no	—
402	C₂²×C₄×C₁₃	—	4	4	no	—
403	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
404	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
405	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
406	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
407	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
413	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
415	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
416	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
418	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
420	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
424	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
426	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
427	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
428	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
429	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
430	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
431	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
432	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
433	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
434	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
435	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
436	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
437	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
438	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
439	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
440	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
441	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
442	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
443	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
444	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
445	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
446	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
447	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
448	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
449	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
450	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
451	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
452	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
453	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
454	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
455	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
456	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
457	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
458	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
459	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
460	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
461	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
462	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
463	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
464	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
465	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
466	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
467	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
468	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
469	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
470	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
471	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
472	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
473	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
474	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
475	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
476	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
477	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
478	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
479	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
480	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
481	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
482	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
483	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
484	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
485	C₁₃×C₂²⋊C₄	C₂⁴	1	4	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	4	yes	—
493	C₄²×C₁₃	C₂⁴	1	4	yes	—
494	C₄²×C₁₃	C₂⁴	1	4	yes	—
495	C₄²×C₁₃	C₂⁴	1	4	yes	—
496	C₄²×C₁₃	C₂⁴	1	8	yes	—
497	C₄²×C₁₃	C₂⁴	1	8	yes	—
498	C₄²×C₁₃	C₂⁴	1	4	yes	—
499	C₄²×C₁₃	C₂⁴	1	8	yes	—
500	C₄²×C₁₃	C₂⁴	1	8	yes	—
501	C₄²×C₁₃	C₂⁴	1	4	yes	—
502	C₄²×C₁₃	C₂⁴	1	8	yes	—
503	C₄²×C₁₃	C₂⁴	1	8	yes	—
504	C₄²×C₁₃	C₂⁴	1	4	yes	—
505	#3521	C₂×C₁₃	1	32	yes	direct product factor
506	C₂×#556	C₂×C₁₃	1	1	yes	characteristic, complemented
507	C₂×#556	C₂×C₁₃	1	1	yes	characteristic, complemented
508	C₂×#554	C₂×C₁₃	1	1	yes	characteristic, complemented
509	C₂×#553	C₂×C₁₃	1	1	yes	characteristic, complemented
510	C₂×#553	C₂×C₁₃	1	2	yes	complemented
511	C₂×#552	C₂×C₁₃	1	1	yes	characteristic, complemented
512	C₂×#552	C₂×C₁₃	1	2	yes	complemented
513	C₂×#551	C₂×C₁₃	1	2	yes	complemented
514	C₂×#551	C₂×C₁₃	1	2	yes	complemented
515	C₂×#547	C₂×C₁₃	1	1	yes	characteristic, complemented
516	C₂×#546	C₂×C₁₃	1	1	yes	characteristic, complemented
517	C₂×#546	C₂×C₁₃	1	1	yes	characteristic, complemented
518	C₂×#542	C₂×C₁₃	1	1	yes	characteristic, complemented
519	C₂×#541	C₂×C₁₃	1	1	yes	characteristic, complemented
520	C₂×#539	C₂×C₁₃	1	2	yes	complemented
521	C₂×#538	C₂×C₁₃	1	2	yes	complemented
522	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
523	C₂×#529	C₂×C₁₃	1	2	yes	complemented
524	C₂×#529	C₂×C₁₃	1	1	yes	characteristic, complemented
525	C₂²×#126	C₂×C₁₃	1	2	yes	complemented
526	C₂×#520	C₂×C₁₃	1	1	yes	characteristic, complemented
527	C₂×#518	C₂×C₁₃	1	1	yes	characteristic, complemented
528	C₂×C₄×#41	C₂×C₁₃	1	1	yes	characteristic, complemented
529	C₂³×C₁₃	—	2	4	no	—
530	C₂³×C₁₃	—	2	4	no	—
531	C₂³×C₁₃	—	2	2	no	—
532	C₂³×C₁₃	—	2	2	no	—
533	C₂³×C₁₃	—	2	2	no	—
534	C₂³×C₁₃	—	2	4	no	—
535	C₂³×C₁₃	—	2	2	no	—
536	C₂³×C₁₃	—	2	2	no	—
537	C₂³×C₁₃	—	2	2	no	—
538	C₂³×C₁₃	—	2	4	no	—
539	C₂³×C₁₃	—	2	4	no	—
540	C₂³×C₁₃	—	2	2	no	—
541	C₂³×C₁₃	—	2	2	no	—
542	C₂³×C₁₃	—	2	2	no	—
543	C₂³×C₁₃	—	2	16	no	—
544	C₂³×C₁₃	—	4	8	no	—
545	C₂³×C₁₃	—	4	8	no	—
546	C₂³×C₁₃	—	8	16	no	—
547	C₂³×C₁₃	C₂×#41	1	8	yes	—
548	C₂³×C₁₃	C₂⁵	1	2	yes	—
549	C₂³×C₁₃	C₂⁵	1	4	yes	—
550	C₂³×C₁₃	C₂⁵	1	2	yes	—
551	C₂³×C₁₃	C₂⁵	1	2	yes	—
552	C₂³×C₁₃	C₂⁵	1	4	yes	—
553	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
554	Q₈×C₁₃	—	2	8	no	—
555	Q₈×C₁₃	—	2	8	no	—
556	Q₈×C₁₃	—	4	4	no	—
557	Q₈×C₁₃	—	4	8	no	—
558	D₄×C₁₃	—	2	16	no	—
559	D₄×C₁₃	—	2	16	no	—
560	D₄×C₁₃	—	2	16	no	—
561	D₄×C₁₃	—	2	8	no	—
562	D₄×C₁₃	—	4	8	no	—
563	D₄×C₁₃	—	4	4	no	—
564	D₄×C₁₃	—	4	4	no	—
565	D₄×C₁₃	—	4	8	no	—
566	D₄×C₁₃	—	4	4	no	—
567	D₄×C₁₃	C₂×#41	1	16	yes	—
568	C₂×C₄×C₁₃	—	2	2	no	—
569	C₂×C₄×C₁₃	—	2	2	no	—
570	C₂×C₄×C₁₃	—	2	2	no	—
571	C₂×C₄×C₁₃	—	2	4	no	—
572	C₂×C₄×C₁₃	—	2	4	no	—
573	C₂×C₄×C₁₃	—	2	16	no	—
574	C₂×C₄×C₁₃	—	2	16	no	—
575	C₂×C₄×C₁₃	—	2	2	no	—
576	C₂×C₄×C₁₃	—	2	4	no	—
577	C₂×C₄×C₁₃	—	2	2	no	—
578	C₂×C₄×C₁₃	—	2	2	no	—
579	C₂×C₄×C₁₃	—	2	4	no	—
580	C₂×C₄×C₁₃	—	2	2	no	—
581	C₂×C₄×C₁₃	—	2	2	no	—
582	C₂×C₄×C₁₃	—	2	2	no	—
583	C₂×C₄×C₁₃	—	2	4	no	—
584	C₂×C₄×C₁₃	—	2	2	no	—
585	C₂×C₄×C₁₃	—	2	4	no	—
586	C₂×C₄×C₁₃	—	2	2	no	—
587	C₂×C₄×C₁₃	—	2	8	no	—
588	C₂×C₄×C₁₃	—	2	8	no	—
589	C₂×C₄×C₁₃	—	2	8	no	—
590	C₂×C₄×C₁₃	—	4	8	no	—
591	C₂×C₄×C₁₃	—	4	4	no	—
592	C₂×C₄×C₁₃	—	4	8	no	—
593	C₂×C₄×C₁₃	—	4	8	no	—
594	C₂×C₄×C₁₃	—	4	8	no	—
595	C₂×C₄×C₁₃	—	4	8	no	—
596	C₂×C₄×C₁₃	—	4	4	no	—
597	C₂×C₄×C₁₃	—	4	8	no	—
598	C₂×C₄×C₁₃	—	4	8	no	—
599	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
600	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
601	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
602	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
603	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
604	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
605	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
606	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
607	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
608	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
609	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
610	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
611	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
612	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
613	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
614	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
615	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
616	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
617	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
618	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
619	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic
620	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
621	#556	C₂²×C₁₃	1	16	yes	complemented
622	#556	C₂²×C₁₃	1	16	yes	complemented
623	#554	C₂²×C₁₃	1	16	yes	complemented
624	#553	C₂²×C₁₃	1	16	yes	complemented
625	#553	C₂²×C₁₃	1	32	yes	complemented
626	#552	C₂²×C₁₃	1	16	yes	complemented
627	#552	C₂²×C₁₃	1	32	yes	complemented
628	#551	C₂²×C₁₃	1	32	yes	complemented
629	#551	C₂²×C₁₃	1	32	yes	complemented
630	#547	C₂²×C₁₃	1	16	yes	complemented
631	#546	C₂²×C₁₃	1	16	yes	complemented
632	#546	C₂²×C₁₃	1	16	yes	complemented
633	#542	C₂²×C₁₃	1	16	yes	complemented
634	#541	C₂²×C₁₃	1	16	yes	complemented
635	#539	C₂²×C₁₃	1	32	yes	complemented
636	#538	C₂²×C₁₃	1	32	yes	complemented
637	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
638	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
639	#529	C₂²×C₁₃	1	16	yes	complemented
640	#529	C₂²×C₁₃	1	32	yes	complemented
641	#529	C₂²×C₁₃	1	16	yes	complemented
642	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic
643	C₂×#126	C₂²×C₁₃	1	2	yes	—
644	C₂×#126	C₂²×C₁₃	1	2	yes	—
645	C₂×#126	C₂²×C₁₃	1	2	yes	—
646	C₂×#126	C₂²×C₁₃	1	2	yes	—
647	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
648	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
649	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
650	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
651	C₂×#126	C₂²×C₁₃	1	1	yes	characteristic, complemented
652	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
653	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
654	C₂×#126	C₂²×C₁₃	1	32	yes	complemented
655	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
656	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
657	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
658	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
659	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
660	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
661	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
662	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
663	C₂×#124	C₂²×C₁₃	1	2	yes	—
664	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic
665	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
666	C₂×#123	C₂²×C₁₃	1	2	yes	—
667	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic
668	C₂×#123	C₂²×C₁₃	1	2	yes	—
669	C₂×#123	C₂²×C₁₃	1	2	yes	—
670	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
671	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
672	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic, complemented
673	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
674	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
675	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
676	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
677	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic
678	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
679	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
680	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
681	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
682	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
683	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
684	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
685	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
686	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
687	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
688	C₂×#121	C₂²×C₁₃	1	2	yes	—
689	C₂×#121	C₂²×C₁₃	1	2	yes	—
690	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
691	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
692	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
693	C₂×#120	C₂²×C₁₃	1	2	yes	—
694	C₂×#120	C₂²×C₁₃	1	2	yes	—
695	#520	C₂²×C₁₃	1	16	yes	complemented
696	#518	C₂²×C₁₃	1	16	yes	complemented
697	C₄×#41	C₂²×C₁₃	1	16	yes	complemented
698	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
699	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
700	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
701	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
702	C₂×C₄×Q₈	C₂²×C₁₃	1	2	yes	complemented
703	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
704	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
705	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
706	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
707	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
708	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
709	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	—
710	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
711	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
712	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
713	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
714	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
715	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
716	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
717	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
718	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
719	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
720	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
721	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
722	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic
723	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
724	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
725	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
726	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
727	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
728	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
729	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
730	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
731	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
732	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
733	C₂²×C₄⋊C₄	C₂²×C₁₃	1	2	yes	complemented
734	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
735	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
736	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
737	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	—
738	C₂²×C₄²	C₂²×C₁₃	1	2	yes	complemented
739	C₂²×C₄²	C₂²×C₁₃	1	1	yes	characteristic, complemented
740	C₂²×C₁₃	—	2	4	no	—
741	C₂²×C₁₃	—	2	4	no	—
742	C₂²×C₁₃	—	2	16	no	—
743	C₂²×C₁₃	—	2	2	no	—
744	C₂²×C₁₃	—	2	2	no	—
745	C₂²×C₁₃	—	2	2	no	—
746	C₂²×C₁₃	—	2	4	no	—
747	C₂²×C₁₃	—	2	2	no	—
748	C₂²×C₁₃	—	2	2	no	—
749	C₂²×C₁₃	—	2	2	no	—
750	C₂²×C₁₃	—	2	4	no	—
751	C₂²×C₁₃	—	2	4	no	—
752	C₂²×C₁₃	—	2	2	no	—
753	C₂²×C₁₃	—	2	2	no	—
754	C₂²×C₁₃	—	2	2	no	—
755	C₂²×C₁₃	—	4	4	no	—
756	C₂²×C₁₃	—	4	4	no	—
757	C₂²×C₁₃	—	4	8	no	—
758	C₂²×C₁₃	—	4	4	no	—
759	C₂²×C₁₃	—	8	16	no	—
760	C₂²×C₁₃	C₂²×#41	1	8	yes	—
761	C₂²×C₁₃	C₂²×#41	1	2	yes	—
762	C₂²×C₁₃	#585	1	2	yes	—
763	C₂²×C₁₃	#585	1	2	yes	—
764	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
765	C₄×C₁₃	—	2	2	no	—
766	C₄×C₁₃	—	2	2	no	—
767	C₄×C₁₃	—	2	2	no	—
768	C₄×C₁₃	—	2	4	no	—
769	C₄×C₁₃	—	2	4	no	—
770	C₄×C₁₃	—	2	2	no	—
771	C₄×C₁₃	—	2	4	no	—
772	C₄×C₁₃	—	2	2	no	—
773	C₄×C₁₃	—	2	2	no	—
774	C₄×C₁₃	—	2	4	no	—
775	C₄×C₁₃	—	2	2	no	—
776	C₄×C₁₃	—	2	2	no	—
777	C₄×C₁₃	—	2	2	no	—
778	C₄×C₁₃	—	2	4	no	—
779	C₄×C₁₃	—	2	2	no	—
780	C₄×C₁₃	—	2	4	no	—
781	C₄×C₁₃	—	2	2	no	—
782	C₄×C₁₃	C₂²×#41	1	4	yes	—
783	C₂⁵	C₂³×C₁₃	1	2	yes	—
784	C₂×#41	—	2	8	no	—
785	C₂×#41	—	2	8	no	—
786	C₂×#41	C₂³×C₁₃	1	8	yes	—
787	C₂×#41	C₂³×C₁₃	1	8	yes	—
788	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
789	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
790	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
791	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
792	C₂²×D₄	—	2	8	no	—
793	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
794	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
795	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
796	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
797	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
798	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
799	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
800	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
801	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
802	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
803	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
804	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
805	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
806	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
807	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
808	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
809	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
810	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
811	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
812	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
813	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
814	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
815	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
816	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
817	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
818	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
819	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
820	#126	C₂³×C₁₃	1	8	yes	—
821	#126	C₂³×C₁₃	1	16	yes	—
822	#126	C₂³×C₁₃	1	16	yes	—
823	#126	C₂³×C₁₃	1	16	yes	—
824	#126	C₂³×C₁₃	1	16	yes	—
825	#126	C₂³×C₁₃	1	16	yes	complemented
826	#126	C₂³×C₁₃	1	16	yes	complemented
827	#126	C₂³×C₁₃	1	16	yes	complemented
828	#126	C₂³×C₁₃	1	16	yes	complemented
829	#126	C₂³×C₁₃	1	8	yes	complemented
830	#126	C₂³×C₁₃	1	16	yes	complemented
831	#126	C₂³×C₁₃	1	16	yes	complemented
832	#125	C₂³×C₁₃	1	16	yes	complemented
833	#125	C₂³×C₁₃	1	8	yes	complemented
834	#125	C₂³×C₁₃	1	8	yes	complemented
835	#125	C₂³×C₁₃	1	16	yes	complemented
836	#125	C₂³×C₁₃	1	16	yes	complemented
837	#125	C₂³×C₁₃	1	8	yes	complemented
838	#124	C₂³×C₁₃	1	8	yes	—
839	#124	C₂³×C₁₃	1	8	yes	—
840	#124	C₂³×C₁₃	1	16	yes	—
841	#124	C₂³×C₁₃	1	8	yes	—
842	#124	C₂³×C₁₃	1	16	yes	complemented
843	#123	C₂³×C₁₃	1	16	yes	—
844	#123	C₂³×C₁₃	1	8	yes	—
845	#123	C₂³×C₁₃	1	16	yes	—
846	#123	C₂³×C₁₃	1	16	yes	—
847	#123	C₂³×C₁₃	1	16	yes	complemented
848	#123	C₂³×C₁₃	1	16	yes	complemented
849	#123	C₂³×C₁₃	1	8	yes	complemented
850	#123	C₂³×C₁₃	1	16	yes	complemented
851	#123	C₂³×C₁₃	1	16	yes	complemented
852	#123	C₂³×C₁₃	1	16	yes	complemented
853	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
854	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	—
855	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
856	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
857	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
858	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
859	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
860	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
861	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
862	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
863	#121	C₂³×C₁₃	1	8	yes	—
864	#121	C₂³×C₁₃	1	8	yes	—
865	#121	C₂³×C₁₃	1	16	yes	—
866	#121	C₂³×C₁₃	1	16	yes	—
867	#121	C₂³×C₁₃	1	8	yes	—
868	#121	C₂³×C₁₃	1	16	yes	complemented
869	#121	C₂³×C₁₃	1	16	yes	complemented
870	#120	C₂³×C₁₃	1	16	yes	—
871	#120	C₂³×C₁₃	1	16	yes	—
872	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
873	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
874	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
875	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
876	C₄×Q₈	C₂³×C₁₃	1	16	yes	complemented
877	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
878	C₄×D₄	C₂³×C₁₃	1	8	yes	—
879	C₄×D₄	C₂³×C₁₃	1	8	yes	—
880	C₄×D₄	C₂³×C₁₃	1	16	yes	—
881	C₄×D₄	C₂³×C₁₃	1	8	yes	—
882	C₄×D₄	C₂³×C₁₃	1	8	yes	—
883	C₄×D₄	C₂³×C₁₃	1	16	yes	—
884	C₄×D₄	C₂³×C₁₃	1	8	yes	—
885	C₄×D₄	C₂³×C₁₃	1	8	yes	—
886	C₄×D₄	C₂³×C₁₃	1	8	yes	—
887	C₄×D₄	C₂³×C₁₃	1	8	yes	—
888	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
889	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
890	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
891	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
892	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
893	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
894	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
895	#117	C₂³×C₁₃	1	8	yes	—
896	#117	C₂³×C₁₃	1	8	yes	—
897	#117	C₂³×C₁₃	1	16	yes	complemented
898	#117	C₂³×C₁₃	1	8	yes	complemented
899	#117	C₂³×C₁₃	1	8	yes	complemented
900	#117	C₂³×C₁₃	1	16	yes	complemented
901	#117	C₂³×C₁₃	1	16	yes	complemented
902	#117	C₂³×C₁₃	1	16	yes	complemented
903	#117	C₂³×C₁₃	1	16	yes	complemented
904	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
905	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
906	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
910	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
911	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
913	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
914	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
915	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
916	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
917	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
918	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
922	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
923	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
924	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
925	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
926	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
927	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
928	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
929	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
930	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
932	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
933	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	complemented
935	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	complemented
936	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	complemented
937	C₂×C₄⋊C₄	C₂³×C₁₃	1	16	yes	complemented
938	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
939	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
940	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
941	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
942	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
943	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
944	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
945	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
946	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
947	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
948	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
949	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
950	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
951	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
952	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
953	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
954	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
955	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
956	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	—
957	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
958	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
959	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
960	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
961	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
962	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
963	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
964	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
965	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
966	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
967	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
968	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
969	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
970	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
971	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
972	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
973	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
974	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
975	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
976	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
977	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
978	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
979	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
980	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
981	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
982	C₂×C₄²	C₂³×C₁₃	1	16	yes	complemented
983	C₂×C₄²	C₂³×C₁₃	1	8	yes	complemented
984	C₂×C₁₃	—	2	8	no	—
985	C₂×C₁₃	—	4	2	no	—
986	C₂×C₁₃	—	4	2	no	—
987	C₂×C₁₃	—	4	4	no	—
988	C₂×C₁₃	—	4	2	no	—
989	C₂×C₁₃	#3521	1	4	yes	direct product factor
990	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
991	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
992	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
993	C₂⁴	—	2	8	no	—
994	C₂⁴	—	4	4	no	—
995	C₂⁴	—	4	4	no	—
996	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
997	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
998	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
999	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1000	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1001	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
1002	#41	—	2	32	no	—
1003	#41	—	2	32	no	—
1004	C₂×Q₈	—	2	4	no	—
1005	C₂×Q₈	—	2	4	no	—
1006	C₂×Q₈	—	4	2	no	—
1007	C₂×Q₈	—	4	4	no	—
1008	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1009	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1010	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1011	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1012	C₂×D₄	—	2	8	no	—
1013	C₂×D₄	—	2	8	no	—
1014	C₂×D₄	—	2	8	no	—
1015	C₂×D₄	—	2	32	no	—
1016	C₂×D₄	—	2	4	no	—
1017	C₂×D₄	—	4	4	no	—
1018	C₂×D₄	—	4	2	no	—
1019	C₂×D₄	—	4	2	no	—
1020	C₂×D₄	—	4	4	no	—
1021	C₂×D₄	—	4	2	no	—
1022	C₂×D₄	C₁₃×#41	1	8	yes	—
1023	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1024	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1025	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1026	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1027	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1028	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1029	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1030	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1031	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1032	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1033	C₂²×C₄	—	2	8	no	—
1034	C₂²×C₄	—	2	8	no	—
1035	C₂²×C₄	—	2	4	no	—
1036	C₂²×C₄	—	2	4	no	—
1037	C₂²×C₄	—	2	4	no	—
1038	C₂²×C₄	—	4	4	no	—
1039	C₂²×C₄	—	4	2	no	—
1040	C₂²×C₄	—	4	4	no	—
1041	C₂²×C₄	—	4	4	no	—
1042	C₂²×C₄	—	4	4	no	—
1043	C₂²×C₄	—	4	4	no	—
1044	C₂²×C₄	—	4	2	no	—
1045	C₂²×C₄	—	4	4	no	—
1046	C₂²×C₄	—	4	4	no	—
1047	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1048	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1049	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1050	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1051	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1052	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1053	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1054	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1055	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1057	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1059	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1063	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1064	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1065	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1066	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1067	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1068	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1069	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1070	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1071	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1072	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1073	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1074	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1075	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1076	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1077	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1078	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1079	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1080	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1081	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1082	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1083	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1084	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1085	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1086	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1087	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1088	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1089	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1090	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1091	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1092	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1093	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1094	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1095	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1096	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1097	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1098	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1099	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1100	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1101	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1102	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1103	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1104	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1105	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1106	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1107	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1108	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1109	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1110	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1111	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1112	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1113	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1114	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1115	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1116	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1117	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1118	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1119	C₂²⋊C₄	C₂⁴×C₁₃	1	8	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	4	yes	—
1125	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1126	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1127	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1128	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1129	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1130	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1131	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1132	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1133	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1134	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1135	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1136	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1137	C₄²	C₂⁴×C₁₃	1	4	yes	—
1138	C₄²	C₂⁴×C₁₃	1	4	yes	—
1139	C₄²	C₂⁴×C₁₃	1	4	yes	—
1140	C₄²	C₂⁴×C₁₃	1	8	yes	—
1141	C₄²	C₂⁴×C₁₃	1	8	yes	—
1142	C₄²	C₂⁴×C₁₃	1	4	yes	—
1143	C₄²	C₂⁴×C₁₃	1	8	yes	—
1144	C₄²	C₂⁴×C₁₃	1	8	yes	—
1145	C₄²	C₂⁴×C₁₃	1	4	yes	—
1146	C₄²	C₂⁴×C₁₃	1	8	yes	—
1147	C₄²	C₂⁴×C₁₃	1	8	yes	—
1148	C₄²	C₂⁴×C₁₃	1	4	yes	—
1149	C₁₃	C₂×#3521	1	1	yes	characteristic, direct product factor, Sylow
1150	C₂³	—	2	4	no	—
1151	C₂³	—	2	4	no	—
1152	C₂³	—	2	2	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	2	no	—
1155	C₂³	—	2	4	no	—
1156	C₂³	—	2	2	no	—
1157	C₂³	—	2	2	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	2	4	no	—
1160	C₂³	—	2	4	no	—
1161	C₂³	—	2	2	no	—
1162	C₂³	—	2	2	no	—
1163	C₂³	—	2	2	no	—
1164	C₂³	—	2	16	no	—
1165	C₂³	—	4	8	no	—
1166	C₂³	—	4	8	no	—
1167	C₂³	—	8	16	no	—
1168	C₂³	C₂×C₁₃×#41	1	8	yes	—
1169	C₂³	C₂⁵×C₁₃	1	2	yes	—
1170	C₂³	C₂⁵×C₁₃	1	4	yes	—
1171	C₂³	C₂⁵×C₁₃	1	2	yes	—
1172	C₂³	C₂⁵×C₁₃	1	2	yes	—
1173	C₂³	C₂⁵×C₁₃	1	4	yes	—
1174	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1175	Q₈	—	2	8	no	—
1176	Q₈	—	2	8	no	—
1177	Q₈	—	4	4	no	—
1178	Q₈	—	4	8	no	—
1179	D₄	—	2	16	no	—
1180	D₄	—	2	16	no	—
1181	D₄	—	2	16	no	—
1182	D₄	—	2	8	no	—
1183	D₄	—	4	8	no	—
1184	D₄	—	4	4	no	—
1185	D₄	—	4	4	no	—
1186	D₄	—	4	8	no	—
1187	D₄	—	4	4	no	—
1188	D₄	C₂×C₁₃×#41	1	16	yes	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	4	no	—
1193	C₂×C₄	—	2	4	no	—
1194	C₂×C₄	—	2	16	no	—
1195	C₂×C₄	—	2	16	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	4	no	—
1198	C₂×C₄	—	2	2	no	—
1199	C₂×C₄	—	2	2	no	—
1200	C₂×C₄	—	2	4	no	—
1201	C₂×C₄	—	2	2	no	—
1202	C₂×C₄	—	2	2	no	—
1203	C₂×C₄	—	2	2	no	—
1204	C₂×C₄	—	2	4	no	—
1205	C₂×C₄	—	2	2	no	—
1206	C₂×C₄	—	2	4	no	—
1207	C₂×C₄	—	2	2	no	—
1208	C₂×C₄	—	2	8	no	—
1209	C₂×C₄	—	2	8	no	—
1210	C₂×C₄	—	2	8	no	—
1211	C₂×C₄	—	4	8	no	—
1212	C₂×C₄	—	4	4	no	—
1213	C₂×C₄	—	4	8	no	—
1214	C₂×C₄	—	4	8	no	—
1215	C₂×C₄	—	4	8	no	—
1216	C₂×C₄	—	4	8	no	—
1217	C₂×C₄	—	4	4	no	—
1218	C₂×C₄	—	4	8	no	—
1219	C₂×C₄	—	4	8	no	—
1220	C₂×C₄	C₂×C₁₃×#41	1	4	yes	—
1221	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1222	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1223	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1224	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1225	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1226	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1227	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1228	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1229	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1230	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1231	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1232	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1233	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1234	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1235	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1236	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1237	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1238	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1239	C₂²	—	2	16	no	—
1240	C₂²	—	2	4	no	—
1241	C₂²	—	2	4	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	2	2	no	—
1244	C₂²	—	2	2	no	—
1245	C₂²	—	2	4	no	—
1246	C₂²	—	2	2	no	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	2	2	no	—
1249	C₂²	—	2	4	no	—
1250	C₂²	—	2	4	no	—
1251	C₂²	—	2	2	no	—
1252	C₂²	—	2	2	no	—
1253	C₂²	—	2	2	no	—
1254	C₂²	—	4	4	no	—
1255	C₂²	—	4	4	no	—
1256	C₂²	—	4	8	no	—
1257	C₂²	—	4	4	no	—
1258	C₂²	—	8	16	no	—
1259	C₂²	C₂²×C₁₃×#41	1	8	yes	—
1260	C₂²	C₂²×C₁₃×#41	1	2	yes	—
1261	C₂²	C₁₃×#585	1	2	yes	—
1262	C₂²	C₁₃×#585	1	2	yes	—
1263	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	2	no	—
1267	C₄	—	2	4	no	—
1268	C₄	—	2	4	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	4	no	—
1271	C₄	—	2	2	no	—
1272	C₄	—	2	2	no	—
1273	C₄	—	2	4	no	—
1274	C₄	—	2	2	no	—
1275	C₄	—	2	2	no	—
1276	C₄	—	2	2	no	—
1277	C₄	—	2	4	no	—
1278	C₄	—	2	2	no	—
1279	C₄	—	2	4	no	—
1280	C₄	—	2	2	no	—
1281	C₄	C₂²×C₁₃×#41	1	4	yes	—
1282	C₂	—	2	8	no	—
1283	C₂	—	4	2	no	—
1284	C₂	—	4	4	no	—
1285	C₂	—	4	2	no	—
1286	C₂	—	4	2	no	—
1287	C₂	C₁₃×#3521	1	4	yes	direct product factor
1288	C₂	C₂³×C₁₃×#41	1	1	yes	characteristic
1289	C₂	C₂×C₁₃×#585	1	1	yes	characteristic
1290	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×#3521	C₂	direct (N × H)
2. C₂×C₁₃×#556	C₂	semidirect
3. C₂×C₁₃×#556	C₂	semidirect
4. C₂×C₁₃×#554	C₂	semidirect
5. C₂×C₁₃×#553	C₂	semidirect
6. C₂×C₁₃×#553	C₂	semidirect
7. C₂×C₁₃×#552	C₂	semidirect
8. C₂×C₁₃×#552	C₂	semidirect
9. C₂×C₁₃×#551	C₂	semidirect
10. C₂×C₁₃×#551	C₂	semidirect
11. C₂×C₁₃×#547	C₂	semidirect
12. C₂×C₁₃×#546	C₂	semidirect
13. C₂×C₁₃×#546	C₂	semidirect
14. C₂×C₁₃×#542	C₂	semidirect
15. C₂×C₁₃×#541	C₂	semidirect
16. C₂×C₁₃×#539	C₂	semidirect
17. C₂×C₁₃×#538	C₂	semidirect
18. C₂×C₁₃×#529	C₂	semidirect
19. C₂×C₁₃×#529	C₂	semidirect
20. C₂×C₁₃×#529	C₂	semidirect
21. C₂²×C₁₃×#126	C₂	semidirect
22. C₂×C₁₃×#520	C₂	semidirect
23. C₂×C₁₃×#518	C₂	semidirect
24. C₂×C₄×C₁₃×#41	C₂	semidirect
28. C₁₃×#556	C₂²	semidirect
29. C₁₃×#556	C₂²	semidirect
30. C₁₃×#554	C₂²	semidirect
31. C₁₃×#553	C₂²	semidirect
32. C₁₃×#553	C₂²	semidirect
33. C₁₃×#552	C₂²	semidirect
34. C₁₃×#552	C₂²	semidirect
35. C₁₃×#551	C₂²	semidirect
36. C₁₃×#551	C₂²	semidirect
37. C₁₃×#547	C₂²	semidirect
38. C₁₃×#546	C₂²	semidirect
39. C₁₃×#546	C₂²	semidirect
40. C₁₃×#542	C₂²	semidirect
41. C₁₃×#541	C₂²	semidirect
42. C₁₃×#539	C₂²	semidirect
43. C₁₃×#538	C₂²	semidirect
44. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
45. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
46. C₁₃×#529	C₂²	semidirect
47. C₁₃×#529	C₂²	semidirect
48. C₁₃×#529	C₂²	semidirect
54. C₂×C₁₃×#126	C₂²	semidirect
55. C₂×C₁₃×#126	C₂²	semidirect
56. C₂×C₁₃×#126	C₂²	semidirect
57. C₂×C₁₃×#126	C₂²	semidirect
58. C₂×C₁₃×#126	C₂²	semidirect
59. C₂×C₁₃×#126	C₂²	semidirect
60. C₂×C₁₃×#126	C₂²	semidirect
61. C₂×C₁₃×#126	C₂²	semidirect
62. C₂×C₁₃×#125	C₂²	semidirect
63. C₂×C₁₃×#125	C₂²	semidirect
64. C₂×C₁₃×#125	C₂²	semidirect
65. C₂×C₁₃×#125	C₂²	semidirect
66. C₂×C₁₃×#125	C₂²	semidirect
67. C₂×C₁₃×#125	C₂²	semidirect
72. C₂×C₁₃×#124	C₂²	semidirect
77. C₂×C₁₃×#123	C₂²	semidirect
78. C₂×C₁₃×#123	C₂²	semidirect
79. C₂×C₁₃×#123	C₂²	semidirect
80. C₂×C₁₃×#123	C₂²	semidirect
81. C₂×C₁₃×#123	C₂²	semidirect
82. C₂×C₁₃×#123	C₂²	semidirect
85. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
86. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
87. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
88. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
89. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
90. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
91. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
92. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
98. C₂×C₁₃×#121	C₂²	semidirect
99. C₂×C₁₃×#121	C₂²	semidirect
102. C₁₃×#520	C₂²	semidirect
103. C₁₃×#518	C₂²	semidirect
104. C₄×C₁₃×#41	C₂²	semidirect
105. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
106. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
107. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
108. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
109. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
110. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
121. C₂×C₄×D₄×C₁₃	C₂²	semidirect
122. C₂×C₄×D₄×C₁₃	C₂²	semidirect
123. C₂×C₄×D₄×C₁₃	C₂²	semidirect
124. C₂×C₄×D₄×C₁₃	C₂²	semidirect
125. C₂×C₄×D₄×C₁₃	C₂²	semidirect
126. C₂×C₄×D₄×C₁₃	C₂²	semidirect
127. C₂×C₄×D₄×C₁₃	C₂²	semidirect
130. C₂×C₁₃×#117	C₂²	semidirect
131. C₂×C₁₃×#117	C₂²	semidirect
132. C₂×C₁₃×#117	C₂²	semidirect
133. C₂×C₁₃×#117	C₂²	semidirect
134. C₂×C₁₃×#117	C₂²	semidirect
135. C₂×C₁₃×#117	C₂²	semidirect
136. C₂×C₁₃×#117	C₂²	semidirect
137. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
138. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
139. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
140. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
145. C₂²×C₄²×C₁₃	C₂²	semidirect
146. C₂²×C₄²×C₁₃	C₂²	semidirect
182. C₁₃×C₄⋊Q₈	C₂³	semidirect
183. C₁₃×C₄⋊Q₈	C₂³	semidirect
189. C₁₃×#126	C₂³	semidirect
190. C₁₃×#126	C₂³	semidirect
191. C₁₃×#126	C₂³	semidirect
192. C₁₃×#126	C₂³	semidirect
193. C₁₃×#126	C₂³	semidirect
194. C₁₃×#126	C₂³	semidirect
195. C₁₃×#126	C₂³	semidirect
196. C₁₃×#125	C₂³	semidirect
197. C₁₃×#125	C₂³	semidirect
198. C₁₃×#125	C₂³	semidirect
199. C₁₃×#125	C₂³	semidirect
200. C₁₃×#125	C₂³	semidirect
201. C₁₃×#125	C₂³	semidirect
206. C₁₃×#124	C₂³	semidirect
211. C₁₃×#123	C₂³	semidirect
212. C₁₃×#123	C₂³	semidirect
213. C₁₃×#123	C₂³	semidirect
214. C₁₃×#123	C₂³	semidirect
215. C₁₃×#123	C₂³	semidirect
216. C₁₃×#123	C₂³	semidirect
219. C₁₃×C₂²⋊Q₈	C₂³	semidirect
220. C₁₃×C₂²⋊Q₈	C₂³	semidirect
221. C₁₃×C₂²⋊Q₈	C₂³	semidirect
222. C₁₃×C₂²⋊Q₈	C₂³	semidirect
223. C₁₃×C₂²⋊Q₈	C₂³	semidirect
224. C₁₃×C₂²⋊Q₈	C₂³	semidirect
225. C₁₃×C₂²⋊Q₈	C₂³	semidirect
226. C₁₃×C₂²⋊Q₈	C₂³	semidirect
232. C₁₃×#121	C₂³	semidirect
233. C₁₃×#121	C₂³	semidirect
236. C₄×Q₈×C₁₃	C₂³	semidirect
237. C₄×Q₈×C₁₃	C₂³	semidirect
238. C₄×Q₈×C₁₃	C₂³	semidirect
239. C₄×Q₈×C₁₃	C₂³	semidirect
240. C₄×Q₈×C₁₃	C₂³	semidirect
241. C₄×Q₈×C₁₃	C₂³	semidirect
252. C₄×D₄×C₁₃	C₂³	semidirect
253. C₄×D₄×C₁₃	C₂³	semidirect
254. C₄×D₄×C₁₃	C₂³	semidirect
255. C₄×D₄×C₁₃	C₂³	semidirect
256. C₄×D₄×C₁₃	C₂³	semidirect
257. C₄×D₄×C₁₃	C₂³	semidirect
258. C₄×D₄×C₁₃	C₂³	semidirect
261. C₁₃×#117	C₂³	semidirect
262. C₁₃×#117	C₂³	semidirect
263. C₁₃×#117	C₂³	semidirect
264. C₁₃×#117	C₂³	semidirect
265. C₁₃×#117	C₂³	semidirect
266. C₁₃×#117	C₂³	semidirect
267. C₁₃×#117	C₂³	semidirect
298. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
299. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
300. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
301. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
346. C₂×C₄²×C₁₃	C₂³	semidirect
347. C₂×C₄²×C₁₃	C₂³	semidirect
348. C₂×#3521	C₁₃	direct (N × H)
505. #3521	C₂×C₁₃	direct (N × H)
506. C₂×#556	C₂×C₁₃	semidirect
507. C₂×#556	C₂×C₁₃	semidirect
508. C₂×#554	C₂×C₁₃	semidirect
509. C₂×#553	C₂×C₁₃	semidirect
510. C₂×#553	C₂×C₁₃	semidirect
511. C₂×#552	C₂×C₁₃	semidirect
512. C₂×#552	C₂×C₁₃	semidirect
513. C₂×#551	C₂×C₁₃	semidirect
514. C₂×#551	C₂×C₁₃	semidirect
515. C₂×#547	C₂×C₁₃	semidirect
516. C₂×#546	C₂×C₁₃	semidirect
517. C₂×#546	C₂×C₁₃	semidirect
518. C₂×#542	C₂×C₁₃	semidirect
519. C₂×#541	C₂×C₁₃	semidirect
520. C₂×#539	C₂×C₁₃	semidirect
521. C₂×#538	C₂×C₁₃	semidirect
522. C₂×#529	C₂×C₁₃	semidirect
523. C₂×#529	C₂×C₁₃	semidirect
524. C₂×#529	C₂×C₁₃	semidirect
525. C₂²×#126	C₂×C₁₃	semidirect
526. C₂×#520	C₂×C₁₃	semidirect
527. C₂×#518	C₂×C₁₃	semidirect
528. C₂×C₄×#41	C₂×C₁₃	semidirect
621. #556	C₂²×C₁₃	semidirect
622. #556	C₂²×C₁₃	semidirect
623. #554	C₂²×C₁₃	semidirect
624. #553	C₂²×C₁₃	semidirect
625. #553	C₂²×C₁₃	semidirect
626. #552	C₂²×C₁₃	semidirect
627. #552	C₂²×C₁₃	semidirect
628. #551	C₂²×C₁₃	semidirect
629. #551	C₂²×C₁₃	semidirect
630. #547	C₂²×C₁₃	semidirect
631. #546	C₂²×C₁₃	semidirect
632. #546	C₂²×C₁₃	semidirect
633. #542	C₂²×C₁₃	semidirect
634. #541	C₂²×C₁₃	semidirect
635. #539	C₂²×C₁₃	semidirect
636. #538	C₂²×C₁₃	semidirect
637. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
638. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
639. #529	C₂²×C₁₃	semidirect
640. #529	C₂²×C₁₃	semidirect
641. #529	C₂²×C₁₃	semidirect
647. C₂×#126	C₂²×C₁₃	semidirect
648. C₂×#126	C₂²×C₁₃	semidirect
649. C₂×#126	C₂²×C₁₃	semidirect
650. C₂×#126	C₂²×C₁₃	semidirect
651. C₂×#126	C₂²×C₁₃	semidirect
652. C₂×#126	C₂²×C₁₃	semidirect
653. C₂×#126	C₂²×C₁₃	semidirect
654. C₂×#126	C₂²×C₁₃	semidirect
655. C₂×#125	C₂²×C₁₃	semidirect
656. C₂×#125	C₂²×C₁₃	semidirect
657. C₂×#125	C₂²×C₁₃	semidirect
658. C₂×#125	C₂²×C₁₃	semidirect
659. C₂×#125	C₂²×C₁₃	semidirect
660. C₂×#125	C₂²×C₁₃	semidirect
665. C₂×#124	C₂²×C₁₃	semidirect
670. C₂×#123	C₂²×C₁₃	semidirect
671. C₂×#123	C₂²×C₁₃	semidirect
672. C₂×#123	C₂²×C₁₃	semidirect
673. C₂×#123	C₂²×C₁₃	semidirect
674. C₂×#123	C₂²×C₁₃	semidirect
675. C₂×#123	C₂²×C₁₃	semidirect
678. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
679. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
680. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
681. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
682. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
683. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
684. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
685. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
691. C₂×#121	C₂²×C₁₃	semidirect
692. C₂×#121	C₂²×C₁₃	semidirect
695. #520	C₂²×C₁₃	semidirect
696. #518	C₂²×C₁₃	semidirect
697. C₄×#41	C₂²×C₁₃	semidirect
698. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
699. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
700. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
701. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
702. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
703. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
714. C₂×C₄×D₄	C₂²×C₁₃	semidirect
715. C₂×C₄×D₄	C₂²×C₁₃	semidirect
716. C₂×C₄×D₄	C₂²×C₁₃	semidirect
717. C₂×C₄×D₄	C₂²×C₁₃	semidirect
718. C₂×C₄×D₄	C₂²×C₁₃	semidirect
719. C₂×C₄×D₄	C₂²×C₁₃	semidirect
720. C₂×C₄×D₄	C₂²×C₁₃	semidirect
723. C₂×#117	C₂²×C₁₃	semidirect
724. C₂×#117	C₂²×C₁₃	semidirect
725. C₂×#117	C₂²×C₁₃	semidirect
726. C₂×#117	C₂²×C₁₃	semidirect
727. C₂×#117	C₂²×C₁₃	semidirect
728. C₂×#117	C₂²×C₁₃	semidirect
729. C₂×#117	C₂²×C₁₃	semidirect
730. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
731. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
732. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
733. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
738. C₂²×C₄²	C₂²×C₁₃	semidirect
739. C₂²×C₄²	C₂²×C₁₃	semidirect
818. C₄⋊Q₈	C₂³×C₁₃	semidirect
819. C₄⋊Q₈	C₂³×C₁₃	semidirect
825. #126	C₂³×C₁₃	semidirect
826. #126	C₂³×C₁₃	semidirect
827. #126	C₂³×C₁₃	semidirect
828. #126	C₂³×C₁₃	semidirect
829. #126	C₂³×C₁₃	semidirect
830. #126	C₂³×C₁₃	semidirect
831. #126	C₂³×C₁₃	semidirect
832. #125	C₂³×C₁₃	semidirect
833. #125	C₂³×C₁₃	semidirect
834. #125	C₂³×C₁₃	semidirect
835. #125	C₂³×C₁₃	semidirect
836. #125	C₂³×C₁₃	semidirect
837. #125	C₂³×C₁₃	semidirect
842. #124	C₂³×C₁₃	semidirect
847. #123	C₂³×C₁₃	semidirect
848. #123	C₂³×C₁₃	semidirect
849. #123	C₂³×C₁₃	semidirect
850. #123	C₂³×C₁₃	semidirect
851. #123	C₂³×C₁₃	semidirect
852. #123	C₂³×C₁₃	semidirect
855. C₂²⋊Q₈	C₂³×C₁₃	semidirect
856. C₂²⋊Q₈	C₂³×C₁₃	semidirect
857. C₂²⋊Q₈	C₂³×C₁₃	semidirect
858. C₂²⋊Q₈	C₂³×C₁₃	semidirect
859. C₂²⋊Q₈	C₂³×C₁₃	semidirect
860. C₂²⋊Q₈	C₂³×C₁₃	semidirect
861. C₂²⋊Q₈	C₂³×C₁₃	semidirect
862. C₂²⋊Q₈	C₂³×C₁₃	semidirect
868. #121	C₂³×C₁₃	semidirect
869. #121	C₂³×C₁₃	semidirect
872. C₄×Q₈	C₂³×C₁₃	semidirect
873. C₄×Q₈	C₂³×C₁₃	semidirect
874. C₄×Q₈	C₂³×C₁₃	semidirect
875. C₄×Q₈	C₂³×C₁₃	semidirect
876. C₄×Q₈	C₂³×C₁₃	semidirect
877. C₄×Q₈	C₂³×C₁₃	semidirect
888. C₄×D₄	C₂³×C₁₃	semidirect
889. C₄×D₄	C₂³×C₁₃	semidirect
890. C₄×D₄	C₂³×C₁₃	semidirect
891. C₄×D₄	C₂³×C₁₃	semidirect
892. C₄×D₄	C₂³×C₁₃	semidirect
893. C₄×D₄	C₂³×C₁₃	semidirect
894. C₄×D₄	C₂³×C₁₃	semidirect
897. #117	C₂³×C₁₃	semidirect
898. #117	C₂³×C₁₃	semidirect
899. #117	C₂³×C₁₃	semidirect
900. #117	C₂³×C₁₃	semidirect
901. #117	C₂³×C₁₃	semidirect
902. #117	C₂³×C₁₃	semidirect
903. #117	C₂³×C₁₃	semidirect
934. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
935. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
936. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
937. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
982. C₂×C₄²	C₂³×C₁₃	semidirect
983. C₂×C₄²	C₂³×C₁₃	semidirect
989. C₂×C₁₃	#3521	direct (N × H)
1149. C₁₃	C₂×#3521	direct (N × H)
1287. C₂	C₁₃×#3521	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×#3521	2
C₂×C₁₃×#556	2
C₂×C₁₃×#554	2
C₂×C₁₃×#553	2
C₂×C₁₃×#552	2
C₂×C₁₃×#551	2
C₂×C₁₃×#547	2
C₂×C₁₃×#546	2
C₂×C₁₃×#542	2
C₂×C₁₃×#541	2
C₂×C₁₃×#539	2
C₂×C₁₃×#538	2
C₂×C₁₃×#529	2
C₂²×C₁₃×#126	2
C₂×C₁₃×#520	2
C₂×C₁₃×#518	2
C₂×C₄×C₁₃×#41	2
C₂×#3521	13

Subgroups — C2×C13×#3521 #15749119

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3521 #15749119