Subgroups — C₂×C₁₃×#3542 #15749058

Order 3328.

8122 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₃×#3542	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×#555	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₁₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₁₃×#552	C₂	1	1	yes	maximal, characteristic, 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×#547	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₁₃×#546	C₂	1	2	yes	maximal, complemented
11	C₂×C₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×D₄²×C₁₃	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₃×#542	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×#538	C₂	1	2	yes	maximal, complemented
18	C₂×C₁₃×#537	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×C₁₃×#535	C₂	1	2	yes	maximal, complemented
20	C₂×C₁₃×#535	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₁₃×#534	C₂	1	2	yes	maximal, complemented
22	C₂×C₁₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₁₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×C₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂²×C₁₃×#41	C₂²	1	2	yes	complemented
28	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
29	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
30	C₂³×D₄×C₁₃	C₂²	1	2	yes	—
31	C₂³×D₄×C₁₃	C₂²	1	2	yes	complemented
32	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#562	C₂²	1	32	yes	complemented
35	C₁₃×#560	C₂²	1	32	yes	complemented
36	C₁₃×#555	C₂²	1	16	yes	complemented
37	C₁₃×#553	C₂²	1	16	yes	complemented
38	C₁₃×#552	C₂²	1	16	yes	complemented
39	C₁₃×#551	C₂²	1	32	yes	complemented
40	C₁₃×#550	C₂²	1	16	yes	complemented
41	C₁₃×#547	C₂²	1	16	yes	complemented
42	C₁₃×#546	C₂²	1	32	yes	complemented
43	C₁₃×#546	C₂²	1	16	yes	complemented
44	C₁₃×#546	C₂²	1	16	yes	complemented
45	D₄²×C₁₃	C₂²	1	16	yes	complemented
46	C₁₃×#542	C₂²	1	16	yes	complemented
47	C₁₃×#540	C₂²	1	16	yes	complemented
48	C₁₃×#540	C₂²	1	32	yes	complemented
49	C₁₃×#538	C₂²	1	32	yes	complemented
50	C₁₃×#537	C₂²	1	16	yes	complemented
51	C₁₃×#535	C₂²	1	32	yes	complemented
52	C₁₃×#535	C₂²	1	16	yes	complemented
53	C₁₃×#534	C₂²	1	32	yes	complemented
54	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
55	C₂×C₁₃×#127	C₂²	1	2	yes	complemented
56	C₂×C₁₃×#127	C₂²	1	2	yes	complemented
57	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
59	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
60	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
61	C₂×C₁₃×#125	C₂²	1	2	yes	complemented
62	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
64	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
65	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
66	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
67	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#525	C₂²	1	16	yes	complemented
69	C₁₃×#525	C₂²	1	16	yes	complemented
70	C₂×C₁₃×#123	C₂²	1	2	yes	—
71	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
72	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
73	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
74	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
75	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
76	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
77	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
78	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
80	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
81	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
82	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
84	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
85	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
86	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
88	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
89	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
90	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
91	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
92	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
93	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
94	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
96	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
97	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
98	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
99	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
100	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
101	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
102	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
103	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
104	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
105	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
107	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
108	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
109	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
110	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
111	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
115	C₂×C₁₃×#121	C₂²	1	16	yes	complemented
116	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
117	C₂×C₁₃×#120	C₂²	1	2	yes	—
118	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
119	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
120	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
121	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
122	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
124	C₂×C₁₃×#120	C₂²	1	2	yes	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	2	yes	complemented
128	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
129	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
130	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, 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	1	yes	characteristic, complemented
134	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
135	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
139	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
140	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
142	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
143	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
144	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
145	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
146	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
147	C₂⁵×C₁₃	C₂³	1	2	yes	—
148	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
149	C₂⁵×C₁₃	C₂³	1	2	yes	—
150	C₂×C₁₃×#41	—	4	4	no	—
151	C₂×C₁₃×#41	—	4	8	no	—
152	C₂×C₁₃×#41	—	4	4	no	—
153	C₂×C₁₃×#41	—	4	4	no	—
154	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
155	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
156	C₂×C₁₃×#41	C₂³	1	16	yes	complemented
157	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
158	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
159	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
160	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
161	C₂²×D₄×C₁₃	—	4	4	no	—
162	C₂²×D₄×C₁₃	—	4	4	no	—
163	C₂²×D₄×C₁₃	—	4	8	no	—
164	C₂²×D₄×C₁₃	—	4	8	no	—
165	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
166	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
167	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
168	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
169	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
170	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
171	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
176	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
177	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
178	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
183	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
184	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
185	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
186	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
187	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
188	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
189	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
190	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
191	C₂²×D₄×C₁₃	C₂³	1	16	yes	—
192	C₂²×D₄×C₁₃	C₂³	1	16	yes	complemented
193	C₂²×D₄×C₁₃	C₂³	1	8	yes	complemented
194	C₂³×C₄×C₁₃	—	4	4	no	—
195	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
196	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
203	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
204	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
205	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
206	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
207	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
209	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₁₃	C₂³	1	8	yes	complemented
211	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
212	C₁₃×#127	C₂³	1	16	yes	complemented
213	C₁₃×#127	C₂³	1	16	yes	complemented
214	C₁₃×#127	C₂³	1	8	yes	complemented
215	C₁₃×#126	C₂³	1	16	yes	complemented
216	C₁₃×#126	C₂³	1	16	yes	complemented
217	C₁₃×#126	C₂³	1	16	yes	complemented
218	C₁₃×#125	C₂³	1	8	yes	complemented
219	C₁₃×#125	C₂³	1	16	yes	complemented
220	C₁₃×#124	C₂³	1	16	yes	complemented
221	C₁₃×#124	C₂³	1	16	yes	complemented
222	C₁₃×#124	C₂³	1	16	yes	complemented
223	C₁₃×#124	C₂³	1	16	yes	complemented
224	C₁₃×#124	C₂³	1	8	yes	complemented
225	C₁₃×#123	C₂³	1	16	yes	—
226	C₁₃×#123	C₂³	1	8	yes	complemented
227	C₁₃×#123	C₂³	1	8	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×#123	C₂³	1	16	yes	complemented
235	C₁₃×#123	C₂³	1	16	yes	complemented
236	C₁₃×#123	C₂³	1	16	yes	complemented
237	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
238	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
239	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
240	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
241	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
242	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
243	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
244	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
245	C₁₃×#121	C₂³	1	8	yes	—
246	C₁₃×#121	C₂³	1	8	yes	—
247	C₁₃×#121	C₂³	1	8	yes	—
248	C₁₃×#121	C₂³	1	8	yes	—
249	C₁₃×#121	C₂³	1	8	yes	complemented
250	C₁₃×#121	C₂³	1	16	yes	complemented
251	C₁₃×#121	C₂³	1	8	yes	complemented
252	C₁₃×#121	C₂³	1	16	yes	complemented
253	C₁₃×#121	C₂³	1	8	yes	complemented
254	C₁₃×#121	C₂³	1	8	yes	complemented
255	C₁₃×#121	C₂³	1	16	yes	complemented
256	C₁₃×#121	C₂³	1	16	yes	complemented
257	C₁₃×#121	C₂³	1	16	yes	complemented
258	C₁₃×#121	C₂³	1	16	yes	complemented
259	C₁₃×#121	C₂³	1	16	yes	complemented
260	C₁₃×#121	C₂³	1	16	yes	complemented
261	C₁₃×#121	C₂³	1	8	yes	complemented
262	C₁₃×#121	C₂³	1	16	yes	complemented
263	C₁₃×#121	C₂³	1	8	yes	complemented
264	C₁₃×#121	C₂³	1	16	yes	complemented
265	C₁₃×#121	C₂³	1	8	yes	complemented
266	C₁₃×#121	C₂³	1	16	yes	complemented
267	C₁₃×#121	C₂³	1	16	yes	complemented
268	C₁₃×#121	C₂³	1	16	yes	complemented
269	C₁₃×#121	C₂³	1	16	yes	complemented
270	C₁₃×#120	C₂³	1	8	yes	—
271	C₁₃×#120	C₂³	1	16	yes	—
272	C₁₃×#120	C₂³	1	16	yes	complemented
273	C₁₃×#120	C₂³	1	8	yes	complemented
274	C₁₃×#120	C₂³	1	16	yes	complemented
275	C₁₃×#120	C₂³	1	16	yes	complemented
276	C₁₃×#120	C₂³	1	16	yes	complemented
277	C₁₃×#120	C₂³	1	16	yes	complemented
278	C₁₃×#120	C₂³	1	16	yes	complemented
279	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
280	C₄×D₄×C₁₃	C₂³	1	8	yes	—
281	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
282	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
283	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
284	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
285	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
286	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
287	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
288	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
289	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
290	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
291	C₁₃×#117	C₂³	1	8	yes	complemented
292	C₁₃×#117	C₂³	1	8	yes	complemented
293	C₁₃×#117	C₂³	1	16	yes	complemented
294	C₁₃×#117	C₂³	1	8	yes	complemented
295	C₁₃×#117	C₂³	1	16	yes	complemented
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	2	yes	—
300	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
301	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
309	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
311	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
312	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
313	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
315	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
316	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
317	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
319	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
321	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
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	2	yes	—
325	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
326	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
327	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
328	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	2	yes	—
332	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
333	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
334	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
335	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
336	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
337	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
338	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
339	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
340	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
341	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
342	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
343	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
344	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
345	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
346	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
347	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
348	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
349	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
350	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
351	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
354	C₂×#3542	C₁₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
355	C₂⁴×C₁₃	—	2	4	no	—
356	C₂⁴×C₁₃	—	2	8	no	—
357	C₂⁴×C₁₃	—	4	2	no	—
358	C₂⁴×C₁₃	—	4	2	no	—
359	C₂⁴×C₁₃	—	4	4	no	—
360	C₂⁴×C₁₃	—	4	4	no	—
361	C₂⁴×C₁₃	—	4	4	no	—
362	C₂⁴×C₁₃	—	4	4	no	—
363	C₂⁴×C₁₃	—	4	4	no	—
364	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
366	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
369	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
370	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
373	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
374	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
375	C₁₃×#41	—	4	16	no	—
376	C₁₃×#41	—	4	32	no	—
377	C₁₃×#41	—	4	16	no	—
378	C₁₃×#41	—	4	16	no	—
379	C₂×Q₈×C₁₃	—	2	4	no	—
380	C₂×Q₈×C₁₃	—	4	2	no	—
381	C₂×Q₈×C₁₃	—	4	4	no	—
382	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
383	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
384	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
385	C₂×D₄×C₁₃	—	2	4	no	—
386	C₂×D₄×C₁₃	—	2	8	no	—
387	C₂×D₄×C₁₃	—	2	4	no	—
388	C₂×D₄×C₁₃	—	2	4	no	—
389	C₂×D₄×C₁₃	—	2	4	no	—
390	C₂×D₄×C₁₃	—	2	4	no	—
391	C₂×D₄×C₁₃	—	4	16	no	—
392	C₂×D₄×C₁₃	—	4	16	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	—	4	4	no	—
397	C₂×D₄×C₁₃	—	4	4	no	—
398	C₂×D₄×C₁₃	—	4	4	no	—
399	C₂×D₄×C₁₃	—	4	4	no	—
400	C₂×D₄×C₁₃	—	4	4	no	—
401	C₂×D₄×C₁₃	—	4	32	no	—
402	C₂×D₄×C₁₃	—	4	2	no	—
403	C₂×D₄×C₁₃	—	4	4	no	—
404	C₂×D₄×C₁₃	—	4	4	no	—
405	C₂×D₄×C₁₃	—	4	4	no	—
406	C₂×D₄×C₁₃	—	4	2	no	—
407	C₂×D₄×C₁₃	—	4	2	no	—
408	C₂×D₄×C₁₃	—	4	2	no	—
409	C₂×D₄×C₁₃	—	4	2	no	—
410	C₂×D₄×C₁₃	—	4	4	no	—
411	C₂×D₄×C₁₃	—	4	4	no	—
412	C₂×D₄×C₁₃	—	4	4	no	—
413	C₂×D₄×C₁₃	—	4	32	no	—
414	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
415	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
416	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
417	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
418	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
419	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
420	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
421	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
422	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
423	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
424	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
425	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
426	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
427	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
428	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
429	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
430	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
431	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
432	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
433	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
434	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
435	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
436	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
437	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
438	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
439	C₂²×C₄×C₁₃	—	2	8	no	—
440	C₂²×C₄×C₁₃	—	2	4	no	—
441	C₂²×C₄×C₁₃	—	2	4	no	—
442	C₂²×C₄×C₁₃	—	2	4	no	—
443	C₂²×C₄×C₁₃	—	2	4	no	—
444	C₂²×C₄×C₁₃	—	2	4	no	—
445	C₂²×C₄×C₁₃	—	4	16	no	—
446	C₂²×C₄×C₁₃	—	4	2	no	—
447	C₂²×C₄×C₁₃	—	4	2	no	—
448	C₂²×C₄×C₁₃	—	4	2	no	—
449	C₂²×C₄×C₁₃	—	4	4	no	—
450	C₂²×C₄×C₁₃	—	4	4	no	—
451	C₂²×C₄×C₁₃	—	4	4	no	—
452	C₂²×C₄×C₁₃	—	4	4	no	—
453	C₂²×C₄×C₁₃	—	4	4	no	—
454	C₂²×C₄×C₁₃	—	4	4	no	—
455	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
456	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
457	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
458	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
459	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
460	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
461	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
463	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
466	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
469	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
470	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
474	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
476	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
477	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
478	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
479	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
480	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
481	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
482	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
483	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
484	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
485	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
486	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
487	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
488	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
489	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
490	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
491	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
492	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
493	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
494	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
495	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
496	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
497	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
498	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
499	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
500	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
501	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
502	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
503	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
504	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
505	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
506	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
507	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
508	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
509	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
510	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
511	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
512	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
513	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
514	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
515	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
516	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
517	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
518	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
519	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
520	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
521	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
522	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
523	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
524	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
525	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
526	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
527	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
528	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
529	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
530	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
531	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
532	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
533	C₄²×C₁₃	C₂⁴	1	8	yes	—
534	C₄²×C₁₃	C₂⁴	1	8	yes	—
535	C₄²×C₁₃	C₂⁴	1	4	yes	—
536	C₄²×C₁₃	C₂⁴	1	4	yes	—
537	C₄²×C₁₃	C₂⁴	1	8	yes	—
538	#3542	C₂×C₁₃	1	32	yes	direct product factor
539	C₂×#562	C₂×C₁₃	1	2	yes	complemented
540	C₂×#560	C₂×C₁₃	1	2	yes	complemented
541	C₂×#555	C₂×C₁₃	1	1	yes	characteristic, complemented
542	C₂×#553	C₂×C₁₃	1	1	yes	characteristic, complemented
543	C₂×#552	C₂×C₁₃	1	1	yes	characteristic, complemented
544	C₂×#551	C₂×C₁₃	1	2	yes	complemented
545	C₂×#550	C₂×C₁₃	1	1	yes	characteristic, complemented
546	C₂×#547	C₂×C₁₃	1	1	yes	characteristic, complemented
547	C₂×#546	C₂×C₁₃	1	2	yes	complemented
548	C₂×#546	C₂×C₁₃	1	1	yes	characteristic, complemented
549	C₂×#546	C₂×C₁₃	1	1	yes	characteristic, complemented
550	C₂×D₄²	C₂×C₁₃	1	1	yes	characteristic, complemented
551	C₂×#542	C₂×C₁₃	1	1	yes	characteristic, complemented
552	C₂×#540	C₂×C₁₃	1	1	yes	characteristic, complemented
553	C₂×#540	C₂×C₁₃	1	2	yes	complemented
554	C₂×#538	C₂×C₁₃	1	2	yes	complemented
555	C₂×#537	C₂×C₁₃	1	1	yes	characteristic, complemented
556	C₂×#535	C₂×C₁₃	1	2	yes	complemented
557	C₂×#535	C₂×C₁₃	1	1	yes	characteristic, complemented
558	C₂×#534	C₂×C₁₃	1	2	yes	complemented
559	C₂×#525	C₂×C₁₃	1	1	yes	characteristic, complemented
560	C₂×#525	C₂×C₁₃	1	1	yes	characteristic, complemented
561	C₂²×#121	C₂×C₁₃	1	1	yes	characteristic, complemented
562	C₂³×C₁₃	—	2	2	no	—
563	C₂³×C₁₃	—	2	2	no	—
564	C₂³×C₁₃	—	2	2	no	—
565	C₂³×C₁₃	—	2	2	no	—
566	C₂³×C₁₃	—	2	2	no	—
567	C₂³×C₁₃	—	2	2	no	—
568	C₂³×C₁₃	—	2	2	no	—
569	C₂³×C₁₃	—	2	4	no	—
570	C₂³×C₁₃	—	2	4	no	—
571	C₂³×C₁₃	—	2	4	no	—
572	C₂³×C₁₃	—	2	4	no	—
573	C₂³×C₁₃	—	2	2	no	—
574	C₂³×C₁₃	—	2	4	no	—
575	C₂³×C₁₃	—	2	8	no	—
576	C₂³×C₁₃	—	2	2	no	—
577	C₂³×C₁₃	—	2	2	no	—
578	C₂³×C₁₃	—	2	4	no	—
579	C₂³×C₁₃	—	2	4	no	—
580	C₂³×C₁₃	—	2	2	no	—
581	C₂³×C₁₃	—	2	2	no	—
582	C₂³×C₁₃	—	2	2	no	—
583	C₂³×C₁₃	—	2	4	no	—
584	C₂³×C₁₃	—	2	2	no	—
585	C₂³×C₁₃	—	2	4	no	—
586	C₂³×C₁₃	—	2	16	no	—
587	C₂³×C₁₃	—	4	4	no	—
588	C₂³×C₁₃	—	4	4	no	—
589	C₂³×C₁₃	—	4	8	no	—
590	C₂³×C₁₃	—	4	8	no	—
591	C₂³×C₁₃	—	4	8	no	—
592	C₂³×C₁₃	—	4	8	no	—
593	C₂³×C₁₃	—	4	8	no	—
594	C₂³×C₁₃	—	4	16	no	—
595	C₂³×C₁₃	—	8	16	no	—
596	C₂³×C₁₃	—	8	16	no	—
597	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
598	C₂³×C₁₃	C₂⁵	1	2	yes	—
599	C₂³×C₁₃	C₂⁵	1	4	yes	—
600	C₂³×C₁₃	C₂⁵	1	2	yes	—
601	C₂³×C₁₃	C₂⁵	1	2	yes	—
602	C₂³×C₁₃	C₂⁵	1	4	yes	—
603	C₂³×C₁₃	C₂⁵	1	4	yes	—
604	C₂³×C₁₃	C₂⁵	1	2	yes	—
605	C₂³×C₁₃	C₂⁵	1	2	yes	—
606	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
607	Q₈×C₁₃	—	2	8	no	—
608	Q₈×C₁₃	—	4	4	no	—
609	Q₈×C₁₃	—	4	8	no	—
610	D₄×C₁₃	—	2	8	no	—
611	D₄×C₁₃	—	2	16	no	—
612	D₄×C₁₃	—	2	8	no	—
613	D₄×C₁₃	—	2	8	no	—
614	D₄×C₁₃	—	2	8	no	—
615	D₄×C₁₃	—	2	8	no	—
616	D₄×C₁₃	—	4	8	no	—
617	D₄×C₁₃	—	4	8	no	—
618	D₄×C₁₃	—	4	8	no	—
619	D₄×C₁₃	—	4	8	no	—
620	D₄×C₁₃	—	4	8	no	—
621	D₄×C₁₃	—	4	8	no	—
622	D₄×C₁₃	—	4	8	no	—
623	D₄×C₁₃	—	4	8	no	—
624	D₄×C₁₃	—	4	4	no	—
625	D₄×C₁₃	—	4	8	no	—
626	D₄×C₁₃	—	4	8	no	—
627	D₄×C₁₃	—	4	8	no	—
628	D₄×C₁₃	—	4	4	no	—
629	D₄×C₁₃	—	4	4	no	—
630	D₄×C₁₃	—	4	4	no	—
631	D₄×C₁₃	—	4	4	no	—
632	D₄×C₁₃	—	4	8	no	—
633	D₄×C₁₃	—	4	8	no	—
634	D₄×C₁₃	—	4	8	no	—
635	C₂×C₄×C₁₃	—	2	2	no	—
636	C₂×C₄×C₁₃	—	2	4	no	—
637	C₂×C₄×C₁₃	—	2	2	no	—
638	C₂×C₄×C₁₃	—	2	2	no	—
639	C₂×C₄×C₁₃	—	2	2	no	—
640	C₂×C₄×C₁₃	—	2	4	no	—
641	C₂×C₄×C₁₃	—	2	2	no	—
642	C₂×C₄×C₁₃	—	2	16	no	—
643	C₂×C₄×C₁₃	—	2	2	no	—
644	C₂×C₄×C₁₃	—	2	4	no	—
645	C₂×C₄×C₁₃	—	2	2	no	—
646	C₂×C₄×C₁₃	—	2	4	no	—
647	C₂×C₄×C₁₃	—	2	2	no	—
648	C₂×C₄×C₁₃	—	2	4	no	—
649	C₂×C₄×C₁₃	—	2	2	no	—
650	C₂×C₄×C₁₃	—	2	8	no	—
651	C₂×C₄×C₁₃	—	2	8	no	—
652	C₂×C₄×C₁₃	—	2	8	no	—
653	C₂×C₄×C₁₃	—	2	8	no	—
654	C₂×C₄×C₁₃	—	2	8	no	—
655	C₂×C₄×C₁₃	—	4	4	no	—
656	C₂×C₄×C₁₃	—	4	4	no	—
657	C₂×C₄×C₁₃	—	4	4	no	—
658	C₂×C₄×C₁₃	—	4	8	no	—
659	C₂×C₄×C₁₃	—	4	8	no	—
660	C₂×C₄×C₁₃	—	4	8	no	—
661	C₂×C₄×C₁₃	—	4	8	no	—
662	C₂×C₄×C₁₃	—	4	8	no	—
663	C₂×C₄×C₁₃	—	4	8	no	—
664	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
665	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
666	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
667	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
668	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
669	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
670	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
671	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
672	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
673	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
674	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
675	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
676	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
677	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
678	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
679	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
680	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
681	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
682	C₂²×#41	C₂²×C₁₃	1	2	yes	complemented
683	C₂²×#41	C₂²×C₁₃	1	1	yes	characteristic, complemented
684	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic
685	C₂³×D₄	C₂²×C₁₃	1	2	yes	—
686	C₂³×D₄	C₂²×C₁₃	1	2	yes	complemented
687	C₂³×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
688	C₂⁴×C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
689	#562	C₂²×C₁₃	1	32	yes	complemented
690	#560	C₂²×C₁₃	1	32	yes	complemented
691	#555	C₂²×C₁₃	1	16	yes	complemented
692	#553	C₂²×C₁₃	1	16	yes	complemented
693	#552	C₂²×C₁₃	1	16	yes	complemented
694	#551	C₂²×C₁₃	1	32	yes	complemented
695	#550	C₂²×C₁₃	1	16	yes	complemented
696	#547	C₂²×C₁₃	1	16	yes	complemented
697	#546	C₂²×C₁₃	1	32	yes	complemented
698	#546	C₂²×C₁₃	1	16	yes	complemented
699	#546	C₂²×C₁₃	1	16	yes	complemented
700	D₄²	C₂²×C₁₃	1	16	yes	complemented
701	#542	C₂²×C₁₃	1	16	yes	complemented
702	#540	C₂²×C₁₃	1	16	yes	complemented
703	#540	C₂²×C₁₃	1	32	yes	complemented
704	#538	C₂²×C₁₃	1	32	yes	complemented
705	#537	C₂²×C₁₃	1	16	yes	complemented
706	#535	C₂²×C₁₃	1	32	yes	complemented
707	#535	C₂²×C₁₃	1	16	yes	complemented
708	#534	C₂²×C₁₃	1	32	yes	complemented
709	C₂×C₄⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
710	C₂×#127	C₂²×C₁₃	1	2	yes	complemented
711	C₂×#127	C₂²×C₁₃	1	2	yes	complemented
712	C₂×#127	C₂²×C₁₃	1	1	yes	characteristic, complemented
713	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
714	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
715	C₂×#126	C₂²×C₁₃	1	2	yes	complemented
716	C₂×#125	C₂²×C₁₃	1	1	yes	characteristic, complemented
717	C₂×#125	C₂²×C₁₃	1	2	yes	complemented
718	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
719	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
720	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
721	C₂×#124	C₂²×C₁₃	1	2	yes	complemented
722	C₂×#124	C₂²×C₁₃	1	1	yes	characteristic, complemented
723	#525	C₂²×C₁₃	1	16	yes	complemented
724	#525	C₂²×C₁₃	1	16	yes	complemented
725	C₂×#123	C₂²×C₁₃	1	2	yes	—
726	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic, complemented
727	C₂×#123	C₂²×C₁₃	1	1	yes	characteristic, complemented
728	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
729	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
730	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
731	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
732	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
733	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
734	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
735	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
736	C₂×#123	C₂²×C₁₃	1	2	yes	complemented
737	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
738	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
739	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
740	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
741	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
742	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
743	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
744	C₂×C₂²⋊Q₈	C₂²×C₁₃	1	2	yes	complemented
745	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
746	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
747	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
748	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic
749	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
750	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
751	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
752	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
753	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
754	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
755	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
756	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
757	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
758	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
759	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
760	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
761	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
762	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
763	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
764	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
765	C₂×#121	C₂²×C₁₃	1	1	yes	characteristic, complemented
766	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
767	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
768	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
769	C₂×#121	C₂²×C₁₃	1	2	yes	complemented
770	C₂×#121	C₂²×C₁₃	1	16	yes	complemented
771	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic
772	C₂×#120	C₂²×C₁₃	1	2	yes	—
773	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
774	C₂×#120	C₂²×C₁₃	1	1	yes	characteristic, complemented
775	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
776	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
777	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
778	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
779	C₂×#120	C₂²×C₁₃	1	2	yes	complemented
780	C₂×C₄×Q₈	C₂²×C₁₃	1	1	yes	characteristic, complemented
781	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic
782	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
783	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
784	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
785	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
786	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
787	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
788	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
789	C₂×C₄×D₄	C₂²×C₁₃	1	2	yes	complemented
790	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
791	C₂×C₄×D₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
792	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
793	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
794	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
795	C₂×#117	C₂²×C₁₃	1	1	yes	characteristic, complemented
796	C₂×#117	C₂²×C₁₃	1	2	yes	complemented
797	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
798	C₂²×C₄⋊C₄	C₂²×C₁₃	1	1	yes	characteristic, complemented
799	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
800	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
801	C₂²×C₂²⋊C₄	C₂²×C₁₃	1	2	yes	complemented
802	C₂²×C₁₃	—	2	2	no	—
803	C₂²×C₁₃	—	2	2	no	—
804	C₂²×C₁₃	—	2	8	no	—
805	C₂²×C₁₃	—	2	2	no	—
806	C₂²×C₁₃	—	2	2	no	—
807	C₂²×C₁₃	—	2	2	no	—
808	C₂²×C₁₃	—	2	2	no	—
809	C₂²×C₁₃	—	2	2	no	—
810	C₂²×C₁₃	—	2	4	no	—
811	C₂²×C₁₃	—	2	4	no	—
812	C₂²×C₁₃	—	2	4	no	—
813	C₂²×C₁₃	—	2	4	no	—
814	C₂²×C₁₃	—	2	2	no	—
815	C₂²×C₁₃	—	2	4	no	—
816	C₂²×C₁₃	—	2	2	no	—
817	C₂²×C₁₃	—	2	2	no	—
818	C₂²×C₁₃	—	2	4	no	—
819	C₂²×C₁₃	—	2	4	no	—
820	C₂²×C₁₃	—	2	2	no	—
821	C₂²×C₁₃	—	2	2	no	—
822	C₂²×C₁₃	—	2	2	no	—
823	C₂²×C₁₃	—	2	4	no	—
824	C₂²×C₁₃	—	2	2	no	—
825	C₂²×C₁₃	—	2	4	no	—
826	C₂²×C₁₃	—	4	16	no	—
827	C₂²×C₁₃	—	4	4	no	—
828	C₂²×C₁₃	—	4	4	no	—
829	C₂²×C₁₃	—	4	4	no	—
830	C₂²×C₁₃	—	4	8	no	—
831	C₂²×C₁₃	—	4	8	no	—
832	C₂²×C₁₃	—	4	4	no	—
833	C₂²×C₁₃	—	4	8	no	—
834	C₂²×C₁₃	—	8	16	no	—
835	C₂²×C₁₃	—	8	16	no	—
836	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
837	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
838	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
839	C₂²×C₁₃	#585	1	2	yes	—
840	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
841	C₄×C₁₃	—	2	2	no	—
842	C₄×C₁₃	—	2	4	no	—
843	C₄×C₁₃	—	2	2	no	—
844	C₄×C₁₃	—	2	2	no	—
845	C₄×C₁₃	—	2	2	no	—
846	C₄×C₁₃	—	2	4	no	—
847	C₄×C₁₃	—	2	2	no	—
848	C₄×C₁₃	—	2	2	no	—
849	C₄×C₁₃	—	2	4	no	—
850	C₄×C₁₃	—	2	2	no	—
851	C₄×C₁₃	—	2	4	no	—
852	C₄×C₁₃	—	2	2	no	—
853	C₄×C₁₃	—	2	4	no	—
854	C₄×C₁₃	—	2	2	no	—
855	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
856	C₂⁵	C₂³×C₁₃	1	2	yes	—
857	C₂⁵	C₂³×C₁₃	1	1	yes	characteristic
858	C₂⁵	C₂³×C₁₃	1	2	yes	—
859	C₂×#41	—	4	4	no	—
860	C₂×#41	—	4	8	no	—
861	C₂×#41	—	4	4	no	—
862	C₂×#41	—	4	4	no	—
863	C₂×#41	C₂³×C₁₃	1	8	yes	complemented
864	C₂×#41	C₂³×C₁₃	1	8	yes	complemented
865	C₂×#41	C₂³×C₁₃	1	16	yes	complemented
866	C₂×#41	C₂³×C₁₃	1	8	yes	complemented
867	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
868	C₂²×Q₈	C₂³×C₁₃	1	1	yes	characteristic
869	C₂²×Q₈	C₂³×C₁₃	1	2	yes	—
870	C₂²×D₄	—	4	4	no	—
871	C₂²×D₄	—	4	4	no	—
872	C₂²×D₄	—	4	8	no	—
873	C₂²×D₄	—	4	8	no	—
874	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
875	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
876	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
877	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
878	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
879	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
880	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
881	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
882	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
883	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
884	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
885	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
886	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
887	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
888	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
889	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
890	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
891	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
892	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
893	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
894	C₂²×D₄	C₂³×C₁₃	1	1	yes	characteristic
895	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
896	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
897	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
898	C₂²×D₄	C₂³×C₁₃	1	2	yes	—
899	C₂²×D₄	C₂³×C₁₃	1	8	yes	—
900	C₂²×D₄	C₂³×C₁₃	1	16	yes	—
901	C₂²×D₄	C₂³×C₁₃	1	16	yes	complemented
902	C₂²×D₄	C₂³×C₁₃	1	8	yes	complemented
903	C₂³×C₄	—	4	4	no	—
904	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
905	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
906	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
907	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
908	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
909	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
910	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
911	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
912	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
913	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
914	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
915	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
916	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
917	C₂³×C₄	C₂³×C₁₃	1	2	yes	—
918	C₂³×C₄	C₂³×C₁₃	1	1	yes	characteristic
919	C₂³×C₄	C₂³×C₁₃	1	8	yes	complemented
920	C₄⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
921	#127	C₂³×C₁₃	1	16	yes	complemented
922	#127	C₂³×C₁₃	1	16	yes	complemented
923	#127	C₂³×C₁₃	1	8	yes	complemented
924	#126	C₂³×C₁₃	1	16	yes	complemented
925	#126	C₂³×C₁₃	1	16	yes	complemented
926	#126	C₂³×C₁₃	1	16	yes	complemented
927	#125	C₂³×C₁₃	1	8	yes	complemented
928	#125	C₂³×C₁₃	1	16	yes	complemented
929	#124	C₂³×C₁₃	1	16	yes	complemented
930	#124	C₂³×C₁₃	1	16	yes	complemented
931	#124	C₂³×C₁₃	1	16	yes	complemented
932	#124	C₂³×C₁₃	1	16	yes	complemented
933	#124	C₂³×C₁₃	1	8	yes	complemented
934	#123	C₂³×C₁₃	1	16	yes	—
935	#123	C₂³×C₁₃	1	8	yes	complemented
936	#123	C₂³×C₁₃	1	8	yes	complemented
937	#123	C₂³×C₁₃	1	16	yes	complemented
938	#123	C₂³×C₁₃	1	16	yes	complemented
939	#123	C₂³×C₁₃	1	16	yes	complemented
940	#123	C₂³×C₁₃	1	16	yes	complemented
941	#123	C₂³×C₁₃	1	16	yes	complemented
942	#123	C₂³×C₁₃	1	16	yes	complemented
943	#123	C₂³×C₁₃	1	16	yes	complemented
944	#123	C₂³×C₁₃	1	16	yes	complemented
945	#123	C₂³×C₁₃	1	16	yes	complemented
946	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
947	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
948	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
949	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
950	C₂²⋊Q₈	C₂³×C₁₃	1	8	yes	complemented
951	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
952	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
953	C₂²⋊Q₈	C₂³×C₁₃	1	16	yes	complemented
954	#121	C₂³×C₁₃	1	8	yes	—
955	#121	C₂³×C₁₃	1	8	yes	—
956	#121	C₂³×C₁₃	1	8	yes	—
957	#121	C₂³×C₁₃	1	8	yes	—
958	#121	C₂³×C₁₃	1	8	yes	complemented
959	#121	C₂³×C₁₃	1	16	yes	complemented
960	#121	C₂³×C₁₃	1	8	yes	complemented
961	#121	C₂³×C₁₃	1	16	yes	complemented
962	#121	C₂³×C₁₃	1	8	yes	complemented
963	#121	C₂³×C₁₃	1	8	yes	complemented
964	#121	C₂³×C₁₃	1	16	yes	complemented
965	#121	C₂³×C₁₃	1	16	yes	complemented
966	#121	C₂³×C₁₃	1	16	yes	complemented
967	#121	C₂³×C₁₃	1	16	yes	complemented
968	#121	C₂³×C₁₃	1	16	yes	complemented
969	#121	C₂³×C₁₃	1	16	yes	complemented
970	#121	C₂³×C₁₃	1	8	yes	complemented
971	#121	C₂³×C₁₃	1	16	yes	complemented
972	#121	C₂³×C₁₃	1	8	yes	complemented
973	#121	C₂³×C₁₃	1	16	yes	complemented
974	#121	C₂³×C₁₃	1	8	yes	complemented
975	#121	C₂³×C₁₃	1	16	yes	complemented
976	#121	C₂³×C₁₃	1	16	yes	complemented
977	#121	C₂³×C₁₃	1	16	yes	complemented
978	#121	C₂³×C₁₃	1	16	yes	complemented
979	#120	C₂³×C₁₃	1	8	yes	—
980	#120	C₂³×C₁₃	1	16	yes	—
981	#120	C₂³×C₁₃	1	16	yes	complemented
982	#120	C₂³×C₁₃	1	8	yes	complemented
983	#120	C₂³×C₁₃	1	16	yes	complemented
984	#120	C₂³×C₁₃	1	16	yes	complemented
985	#120	C₂³×C₁₃	1	16	yes	complemented
986	#120	C₂³×C₁₃	1	16	yes	complemented
987	#120	C₂³×C₁₃	1	16	yes	complemented
988	C₄×Q₈	C₂³×C₁₃	1	8	yes	complemented
989	C₄×D₄	C₂³×C₁₃	1	8	yes	—
990	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
991	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
992	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
993	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
994	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
995	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
996	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
997	C₄×D₄	C₂³×C₁₃	1	16	yes	complemented
998	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
999	C₄×D₄	C₂³×C₁₃	1	8	yes	complemented
1000	#117	C₂³×C₁₃	1	8	yes	complemented
1001	#117	C₂³×C₁₃	1	8	yes	complemented
1002	#117	C₂³×C₁₃	1	16	yes	complemented
1003	#117	C₂³×C₁₃	1	8	yes	complemented
1004	#117	C₂³×C₁₃	1	16	yes	complemented
1005	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1009	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1010	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1011	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1012	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1013	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1014	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1015	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1017	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1020	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1021	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1022	C₂×C₄⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₁₃	1	2	yes	—
1024	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	complemented
1025	C₂×C₄⋊C₄	C₂³×C₁₃	1	8	yes	complemented
1026	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1027	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1028	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1029	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1030	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1031	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1032	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1033	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1034	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1035	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1036	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1037	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1039	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1040	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1041	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1042	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1043	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1044	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1045	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1046	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1048	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1049	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1050	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1052	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1053	C₂×C₂²⋊C₄	C₂³×C₁₃	1	2	yes	—
1054	C₂×C₂²⋊C₄	C₂³×C₁₃	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	complemented
1056	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	complemented
1057	C₂×C₂²⋊C₄	C₂³×C₁₃	1	16	yes	complemented
1058	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1059	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1060	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1061	C₂×C₄²	C₂³×C₁₃	1	1	yes	characteristic
1062	C₂×C₄²	C₂³×C₁₃	1	2	yes	—
1063	C₂×C₁₃	—	2	4	no	—
1064	C₂×C₁₃	—	4	2	no	—
1065	C₂×C₁₃	—	4	2	no	—
1066	C₂×C₁₃	—	4	2	no	—
1067	C₂×C₁₃	—	4	4	no	—
1068	C₂×C₁₃	—	4	4	no	—
1069	C₂×C₁₃	—	4	2	no	—
1070	C₂×C₁₃	—	4	4	no	—
1071	C₂×C₁₃	#3542	1	4	yes	direct product factor
1072	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1073	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1074	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1075	C₂⁴	—	2	4	no	—
1076	C₂⁴	—	2	8	no	—
1077	C₂⁴	—	4	2	no	—
1078	C₂⁴	—	4	2	no	—
1079	C₂⁴	—	4	4	no	—
1080	C₂⁴	—	4	4	no	—
1081	C₂⁴	—	4	4	no	—
1082	C₂⁴	—	4	4	no	—
1083	C₂⁴	—	4	4	no	—
1084	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1085	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1086	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1087	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1088	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1089	C₂⁴	C₂⁴×C₁₃	1	2	yes	—
1090	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1091	C₂⁴	C₂⁴×C₁₃	1	1	yes	characteristic
1092	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
1093	C₂⁴	C₂⁴×C₁₃	1	4	yes	—
1094	C₂⁴	C₂⁴×C₁₃	1	8	yes	—
1095	#41	—	4	16	no	—
1096	#41	—	4	32	no	—
1097	#41	—	4	16	no	—
1098	#41	—	4	16	no	—
1099	C₂×Q₈	—	2	4	no	—
1100	C₂×Q₈	—	4	2	no	—
1101	C₂×Q₈	—	4	4	no	—
1102	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1103	C₂×Q₈	C₂⁴×C₁₃	1	4	yes	—
1104	C₂×Q₈	C₂⁴×C₁₃	1	8	yes	—
1105	C₂×D₄	—	2	4	no	—
1106	C₂×D₄	—	2	8	no	—
1107	C₂×D₄	—	2	4	no	—
1108	C₂×D₄	—	2	4	no	—
1109	C₂×D₄	—	2	4	no	—
1110	C₂×D₄	—	2	4	no	—
1111	C₂×D₄	—	4	16	no	—
1112	C₂×D₄	—	4	16	no	—
1113	C₂×D₄	—	4	4	no	—
1114	C₂×D₄	—	4	4	no	—
1115	C₂×D₄	—	4	4	no	—
1116	C₂×D₄	—	4	4	no	—
1117	C₂×D₄	—	4	4	no	—
1118	C₂×D₄	—	4	4	no	—
1119	C₂×D₄	—	4	4	no	—
1120	C₂×D₄	—	4	4	no	—
1121	C₂×D₄	—	4	32	no	—
1122	C₂×D₄	—	4	2	no	—
1123	C₂×D₄	—	4	2	no	—
1124	C₂×D₄	—	4	2	no	—
1125	C₂×D₄	—	4	4	no	—
1126	C₂×D₄	—	4	4	no	—
1127	C₂×D₄	—	4	4	no	—
1128	C₂×D₄	—	4	2	no	—
1129	C₂×D₄	—	4	4	no	—
1130	C₂×D₄	—	4	4	no	—
1131	C₂×D₄	—	4	4	no	—
1132	C₂×D₄	—	4	2	no	—
1133	C₂×D₄	—	4	32	no	—
1134	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1135	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1136	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1137	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1138	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1139	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1140	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1141	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1142	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1143	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1144	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1145	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1146	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1147	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1148	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1149	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1150	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1151	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1152	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1153	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1154	C₂×D₄	C₂⁴×C₁₃	1	4	yes	—
1155	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1156	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1157	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1158	C₂×D₄	C₂⁴×C₁₃	1	8	yes	—
1159	C₂²×C₄	—	2	8	no	—
1160	C₂²×C₄	—	2	4	no	—
1161	C₂²×C₄	—	2	4	no	—
1162	C₂²×C₄	—	2	4	no	—
1163	C₂²×C₄	—	2	4	no	—
1164	C₂²×C₄	—	2	4	no	—
1165	C₂²×C₄	—	4	16	no	—
1166	C₂²×C₄	—	4	2	no	—
1167	C₂²×C₄	—	4	2	no	—
1168	C₂²×C₄	—	4	2	no	—
1169	C₂²×C₄	—	4	4	no	—
1170	C₂²×C₄	—	4	4	no	—
1171	C₂²×C₄	—	4	4	no	—
1172	C₂²×C₄	—	4	4	no	—
1173	C₂²×C₄	—	4	4	no	—
1174	C₂²×C₄	—	4	4	no	—
1175	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1176	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1177	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1180	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1181	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1183	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1184	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1185	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1186	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1187	C₂²×C₄	C₂⁴×C₁₃	1	2	yes	—
1188	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1189	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1190	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1191	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1192	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1193	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1194	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1195	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1196	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1197	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1198	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1199	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1200	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1201	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1202	C₂²×C₄	C₂⁴×C₁₃	1	8	yes	—
1203	C₂²×C₄	C₂⁴×C₁₃	1	4	yes	—
1204	C₂²×C₄	C₂⁴×C₁₃	1	1	yes	characteristic
1205	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1206	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1207	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1208	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1209	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1210	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1211	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1212	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1213	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1214	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1215	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1216	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1217	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1218	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1219	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1220	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1221	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1222	C₄⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1223	C₄⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1224	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1225	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1226	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1227	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1228	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1229	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1230	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1231	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1232	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1233	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1234	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1235	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1236	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1237	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1238	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1239	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1240	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1241	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1242	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1243	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1244	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1245	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1246	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1247	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1248	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1249	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1250	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1251	C₂²⋊C₄	C₂⁴×C₁₃	1	8	yes	—
1252	C₂²⋊C₄	C₂⁴×C₁₃	1	4	yes	—
1253	C₄²	C₂⁴×C₁₃	1	8	yes	—
1254	C₄²	C₂⁴×C₁₃	1	8	yes	—
1255	C₄²	C₂⁴×C₁₃	1	4	yes	—
1256	C₄²	C₂⁴×C₁₃	1	4	yes	—
1257	C₄²	C₂⁴×C₁₃	1	8	yes	—
1258	C₁₃	C₂×#3542	1	1	yes	characteristic, direct product factor, Sylow
1259	C₂³	—	2	2	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	2	no	—
1265	C₂³	—	2	2	no	—
1266	C₂³	—	2	4	no	—
1267	C₂³	—	2	4	no	—
1268	C₂³	—	2	4	no	—
1269	C₂³	—	2	4	no	—
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	4	no	—
1272	C₂³	—	2	8	no	—
1273	C₂³	—	2	2	no	—
1274	C₂³	—	2	2	no	—
1275	C₂³	—	2	4	no	—
1276	C₂³	—	2	4	no	—
1277	C₂³	—	2	2	no	—
1278	C₂³	—	2	2	no	—
1279	C₂³	—	2	2	no	—
1280	C₂³	—	2	4	no	—
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	4	no	—
1283	C₂³	—	2	16	no	—
1284	C₂³	—	4	4	no	—
1285	C₂³	—	4	4	no	—
1286	C₂³	—	4	8	no	—
1287	C₂³	—	4	8	no	—
1288	C₂³	—	4	8	no	—
1289	C₂³	—	4	8	no	—
1290	C₂³	—	4	8	no	—
1291	C₂³	—	4	16	no	—
1292	C₂³	—	8	16	no	—
1293	C₂³	—	8	16	no	—
1294	C₂³	C₁₃×H(5,𝔽₂)	1	4	yes	—
1295	C₂³	C₂⁵×C₁₃	1	2	yes	—
1296	C₂³	C₂⁵×C₁₃	1	4	yes	—
1297	C₂³	C₂⁵×C₁₃	1	2	yes	—
1298	C₂³	C₂⁵×C₁₃	1	2	yes	—
1299	C₂³	C₂⁵×C₁₃	1	4	yes	—
1300	C₂³	C₂⁵×C₁₃	1	4	yes	—
1301	C₂³	C₂⁵×C₁₃	1	2	yes	—
1302	C₂³	C₂⁵×C₁₃	1	2	yes	—
1303	C₂³	C₂⁵×C₁₃	1	1	yes	characteristic
1304	Q₈	—	2	8	no	—
1305	Q₈	—	4	4	no	—
1306	Q₈	—	4	8	no	—
1307	D₄	—	2	8	no	—
1308	D₄	—	2	16	no	—
1309	D₄	—	2	8	no	—
1310	D₄	—	2	8	no	—
1311	D₄	—	2	8	no	—
1312	D₄	—	2	8	no	—
1313	D₄	—	4	8	no	—
1314	D₄	—	4	8	no	—
1315	D₄	—	4	8	no	—
1316	D₄	—	4	8	no	—
1317	D₄	—	4	8	no	—
1318	D₄	—	4	8	no	—
1319	D₄	—	4	8	no	—
1320	D₄	—	4	8	no	—
1321	D₄	—	4	4	no	—
1322	D₄	—	4	8	no	—
1323	D₄	—	4	8	no	—
1324	D₄	—	4	8	no	—
1325	D₄	—	4	4	no	—
1326	D₄	—	4	4	no	—
1327	D₄	—	4	4	no	—
1328	D₄	—	4	4	no	—
1329	D₄	—	4	8	no	—
1330	D₄	—	4	8	no	—
1331	D₄	—	4	8	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	4	no	—
1334	C₂×C₄	—	2	2	no	—
1335	C₂×C₄	—	2	2	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	4	no	—
1338	C₂×C₄	—	2	2	no	—
1339	C₂×C₄	—	2	16	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	2	4	no	—
1342	C₂×C₄	—	2	2	no	—
1343	C₂×C₄	—	2	4	no	—
1344	C₂×C₄	—	2	2	no	—
1345	C₂×C₄	—	2	4	no	—
1346	C₂×C₄	—	2	2	no	—
1347	C₂×C₄	—	2	8	no	—
1348	C₂×C₄	—	2	8	no	—
1349	C₂×C₄	—	2	8	no	—
1350	C₂×C₄	—	2	8	no	—
1351	C₂×C₄	—	2	8	no	—
1352	C₂×C₄	—	4	4	no	—
1353	C₂×C₄	—	4	4	no	—
1354	C₂×C₄	—	4	4	no	—
1355	C₂×C₄	—	4	8	no	—
1356	C₂×C₄	—	4	8	no	—
1357	C₂×C₄	—	4	8	no	—
1358	C₂×C₄	—	4	8	no	—
1359	C₂×C₄	—	4	8	no	—
1360	C₂×C₄	—	4	8	no	—
1361	C₂×C₄	C₁₃×H(5,𝔽₂)	1	4	yes	—
1362	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1363	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1364	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1365	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1366	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1367	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1368	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1369	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1370	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1371	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1372	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1373	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1374	C₂×C₄	C₂⁵×C₁₃	1	4	yes	—
1375	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1376	C₂×C₄	C₂⁵×C₁₃	1	2	yes	—
1377	C₂²	—	2	8	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	2	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	2	no	—
1385	C₂²	—	2	4	no	—
1386	C₂²	—	2	4	no	—
1387	C₂²	—	2	4	no	—
1388	C₂²	—	2	4	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	4	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	2	2	no	—
1393	C₂²	—	2	4	no	—
1394	C₂²	—	2	4	no	—
1395	C₂²	—	2	2	no	—
1396	C₂²	—	2	2	no	—
1397	C₂²	—	2	2	no	—
1398	C₂²	—	2	4	no	—
1399	C₂²	—	2	2	no	—
1400	C₂²	—	2	4	no	—
1401	C₂²	—	4	16	no	—
1402	C₂²	—	4	4	no	—
1403	C₂²	—	4	4	no	—
1404	C₂²	—	4	4	no	—
1405	C₂²	—	4	8	no	—
1406	C₂²	—	4	8	no	—
1407	C₂²	—	4	4	no	—
1408	C₂²	—	4	8	no	—
1409	C₂²	—	8	16	no	—
1410	C₂²	—	8	16	no	—
1411	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
1412	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1413	C₂²	C₂×C₁₃×H(5,𝔽₂)	1	2	yes	—
1414	C₂²	C₁₃×#585	1	2	yes	—
1415	C₂²	C₂⁶×C₁₃	1	1	yes	characteristic
1416	C₄	—	2	2	no	—
1417	C₄	—	2	4	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	2	4	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	2	no	—
1424	C₄	—	2	4	no	—
1425	C₄	—	2	2	no	—
1426	C₄	—	2	4	no	—
1427	C₄	—	2	2	no	—
1428	C₄	—	2	4	no	—
1429	C₄	—	2	2	no	—
1430	C₄	C₂×C₁₃×H(5,𝔽₂)	1	4	yes	—
1431	C₂	—	2	4	no	—
1432	C₂	—	4	2	no	—
1433	C₂	—	4	2	no	—
1434	C₂	—	4	2	no	—
1435	C₂	—	4	4	no	—
1436	C₂	—	4	4	no	—
1437	C₂	—	4	4	no	—
1438	C₂	—	4	2	no	—
1439	C₂	C₁₃×#3542	1	4	yes	direct product factor
1440	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1441	C₂	C₂²×C₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1442	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×#3542	C₂	direct (N × H)
2. C₂×C₁₃×#562	C₂	semidirect
3. C₂×C₁₃×#560	C₂	semidirect
4. C₂×C₁₃×#555	C₂	semidirect
5. C₂×C₁₃×#553	C₂	semidirect
6. C₂×C₁₃×#552	C₂	semidirect
7. C₂×C₁₃×#551	C₂	semidirect
8. C₂×C₁₃×#550	C₂	semidirect
9. C₂×C₁₃×#547	C₂	semidirect
10. C₂×C₁₃×#546	C₂	semidirect
11. C₂×C₁₃×#546	C₂	semidirect
12. C₂×C₁₃×#546	C₂	semidirect
13. C₂×D₄²×C₁₃	C₂	semidirect
14. C₂×C₁₃×#542	C₂	semidirect
15. C₂×C₁₃×#540	C₂	semidirect
16. C₂×C₁₃×#540	C₂	semidirect
17. C₂×C₁₃×#538	C₂	semidirect
18. C₂×C₁₃×#537	C₂	semidirect
19. C₂×C₁₃×#535	C₂	semidirect
20. C₂×C₁₃×#535	C₂	semidirect
21. C₂×C₁₃×#534	C₂	semidirect
22. C₂×C₁₃×#525	C₂	semidirect
23. C₂×C₁₃×#525	C₂	semidirect
24. C₂²×C₁₃×#121	C₂	semidirect
25. C₂²×C₁₃×#41	C₂²	semidirect
26. C₂²×C₁₃×#41	C₂²	semidirect
27. C₂²×C₁₃×#41	C₂²	semidirect
28. C₂²×C₁₃×#41	C₂²	semidirect
31. C₂³×D₄×C₁₃	C₂²	semidirect
32. C₂³×D₄×C₁₃	C₂²	semidirect
33. C₂⁴×C₄×C₁₃	C₂²	semidirect
34. C₁₃×#562	C₂²	semidirect
35. C₁₃×#560	C₂²	semidirect
36. C₁₃×#555	C₂²	semidirect
37. C₁₃×#553	C₂²	semidirect
38. C₁₃×#552	C₂²	semidirect
39. C₁₃×#551	C₂²	semidirect
40. C₁₃×#550	C₂²	semidirect
41. C₁₃×#547	C₂²	semidirect
42. C₁₃×#546	C₂²	semidirect
43. C₁₃×#546	C₂²	semidirect
44. C₁₃×#546	C₂²	semidirect
45. D₄²×C₁₃	C₂²	semidirect
46. C₁₃×#542	C₂²	semidirect
47. C₁₃×#540	C₂²	semidirect
48. C₁₃×#540	C₂²	semidirect
49. C₁₃×#538	C₂²	semidirect
50. C₁₃×#537	C₂²	semidirect
51. C₁₃×#535	C₂²	semidirect
52. C₁₃×#535	C₂²	semidirect
53. C₁₃×#534	C₂²	semidirect
54. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
55. C₂×C₁₃×#127	C₂²	semidirect
56. C₂×C₁₃×#127	C₂²	semidirect
57. C₂×C₁₃×#127	C₂²	semidirect
58. C₂×C₁₃×#126	C₂²	semidirect
59. C₂×C₁₃×#126	C₂²	semidirect
60. C₂×C₁₃×#126	C₂²	semidirect
61. C₂×C₁₃×#125	C₂²	semidirect
62. C₂×C₁₃×#125	C₂²	semidirect
63. C₂×C₁₃×#124	C₂²	semidirect
64. C₂×C₁₃×#124	C₂²	semidirect
65. C₂×C₁₃×#124	C₂²	semidirect
66. C₂×C₁₃×#124	C₂²	semidirect
67. C₂×C₁₃×#124	C₂²	semidirect
68. C₁₃×#525	C₂²	semidirect
69. C₁₃×#525	C₂²	semidirect
71. C₂×C₁₃×#123	C₂²	semidirect
72. C₂×C₁₃×#123	C₂²	semidirect
73. C₂×C₁₃×#123	C₂²	semidirect
74. C₂×C₁₃×#123	C₂²	semidirect
75. C₂×C₁₃×#123	C₂²	semidirect
76. C₂×C₁₃×#123	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×C₂²⋊Q₈	C₂²	semidirect
83. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
84. C₂×C₁₃×C₂²⋊Q₈	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
94. C₂×C₁₃×#121	C₂²	semidirect
95. C₂×C₁₃×#121	C₂²	semidirect
96. C₂×C₁₃×#121	C₂²	semidirect
97. C₂×C₁₃×#121	C₂²	semidirect
98. C₂×C₁₃×#121	C₂²	semidirect
99. C₂×C₁₃×#121	C₂²	semidirect
100. C₂×C₁₃×#121	C₂²	semidirect
101. C₂×C₁₃×#121	C₂²	semidirect
102. C₂×C₁₃×#121	C₂²	semidirect
103. C₂×C₁₃×#121	C₂²	semidirect
104. C₂×C₁₃×#121	C₂²	semidirect
105. C₂×C₁₃×#121	C₂²	semidirect
106. C₂×C₁₃×#121	C₂²	semidirect
107. C₂×C₁₃×#121	C₂²	semidirect
108. C₂×C₁₃×#121	C₂²	semidirect
109. C₂×C₁₃×#121	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
118. C₂×C₁₃×#120	C₂²	semidirect
119. C₂×C₁₃×#120	C₂²	semidirect
120. C₂×C₁₃×#120	C₂²	semidirect
121. C₂×C₁₃×#120	C₂²	semidirect
122. C₂×C₁₃×#120	C₂²	semidirect
123. C₂×C₁₃×#120	C₂²	semidirect
124. C₂×C₁₃×#120	C₂²	semidirect
125. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
127. C₂×C₄×D₄×C₁₃	C₂²	semidirect
128. C₂×C₄×D₄×C₁₃	C₂²	semidirect
129. C₂×C₄×D₄×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×C₁₃×#117	C₂²	semidirect
138. C₂×C₁₃×#117	C₂²	semidirect
139. C₂×C₁₃×#117	C₂²	semidirect
140. C₂×C₁₃×#117	C₂²	semidirect
141. C₂×C₁₃×#117	C₂²	semidirect
142. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
143. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
144. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
145. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
146. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
154. C₂×C₁₃×#41	C₂³	semidirect
155. C₂×C₁₃×#41	C₂³	semidirect
156. C₂×C₁₃×#41	C₂³	semidirect
157. C₂×C₁₃×#41	C₂³	semidirect
192. C₂²×D₄×C₁₃	C₂³	semidirect
193. C₂²×D₄×C₁₃	C₂³	semidirect
210. C₂³×C₄×C₁₃	C₂³	semidirect
211. C₁₃×C₄⋊Q₈	C₂³	semidirect
212. C₁₃×#127	C₂³	semidirect
213. C₁₃×#127	C₂³	semidirect
214. C₁₃×#127	C₂³	semidirect
215. C₁₃×#126	C₂³	semidirect
216. C₁₃×#126	C₂³	semidirect
217. C₁₃×#126	C₂³	semidirect
218. C₁₃×#125	C₂³	semidirect
219. C₁₃×#125	C₂³	semidirect
220. C₁₃×#124	C₂³	semidirect
221. C₁₃×#124	C₂³	semidirect
222. C₁₃×#124	C₂³	semidirect
223. C₁₃×#124	C₂³	semidirect
224. C₁₃×#124	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
234. C₁₃×#123	C₂³	semidirect
235. C₁₃×#123	C₂³	semidirect
236. C₁₃×#123	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
243. C₁₃×C₂²⋊Q₈	C₂³	semidirect
244. C₁₃×C₂²⋊Q₈	C₂³	semidirect
249. C₁₃×#121	C₂³	semidirect
250. C₁₃×#121	C₂³	semidirect
251. C₁₃×#121	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
260. C₁₃×#121	C₂³	semidirect
261. C₁₃×#121	C₂³	semidirect
262. C₁₃×#121	C₂³	semidirect
263. C₁₃×#121	C₂³	semidirect
264. C₁₃×#121	C₂³	semidirect
265. C₁₃×#121	C₂³	semidirect
266. C₁₃×#121	C₂³	semidirect
267. C₁₃×#121	C₂³	semidirect
268. C₁₃×#121	C₂³	semidirect
269. C₁₃×#121	C₂³	semidirect
272. C₁₃×#120	C₂³	semidirect
273. C₁₃×#120	C₂³	semidirect
274. C₁₃×#120	C₂³	semidirect
275. C₁₃×#120	C₂³	semidirect
276. C₁₃×#120	C₂³	semidirect
277. C₁₃×#120	C₂³	semidirect
278. C₁₃×#120	C₂³	semidirect
279. C₄×Q₈×C₁₃	C₂³	semidirect
281. C₄×D₄×C₁₃	C₂³	semidirect
282. C₄×D₄×C₁₃	C₂³	semidirect
283. C₄×D₄×C₁₃	C₂³	semidirect
284. C₄×D₄×C₁₃	C₂³	semidirect
285. C₄×D₄×C₁₃	C₂³	semidirect
286. C₄×D₄×C₁₃	C₂³	semidirect
287. C₄×D₄×C₁₃	C₂³	semidirect
288. C₄×D₄×C₁₃	C₂³	semidirect
289. C₄×D₄×C₁₃	C₂³	semidirect
290. C₄×D₄×C₁₃	C₂³	semidirect
291. C₁₃×#117	C₂³	semidirect
292. C₁₃×#117	C₂³	semidirect
293. C₁₃×#117	C₂³	semidirect
294. C₁₃×#117	C₂³	semidirect
295. C₁₃×#117	C₂³	semidirect
315. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
316. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
346. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
347. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
348. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
354. C₂×#3542	C₁₃	direct (N × H)
538. #3542	C₂×C₁₃	direct (N × H)
539. C₂×#562	C₂×C₁₃	semidirect
540. C₂×#560	C₂×C₁₃	semidirect
541. C₂×#555	C₂×C₁₃	semidirect
542. C₂×#553	C₂×C₁₃	semidirect
543. C₂×#552	C₂×C₁₃	semidirect
544. C₂×#551	C₂×C₁₃	semidirect
545. C₂×#550	C₂×C₁₃	semidirect
546. C₂×#547	C₂×C₁₃	semidirect
547. C₂×#546	C₂×C₁₃	semidirect
548. C₂×#546	C₂×C₁₃	semidirect
549. C₂×#546	C₂×C₁₃	semidirect
550. C₂×D₄²	C₂×C₁₃	semidirect
551. C₂×#542	C₂×C₁₃	semidirect
552. C₂×#540	C₂×C₁₃	semidirect
553. C₂×#540	C₂×C₁₃	semidirect
554. C₂×#538	C₂×C₁₃	semidirect
555. C₂×#537	C₂×C₁₃	semidirect
556. C₂×#535	C₂×C₁₃	semidirect
557. C₂×#535	C₂×C₁₃	semidirect
558. C₂×#534	C₂×C₁₃	semidirect
559. C₂×#525	C₂×C₁₃	semidirect
560. C₂×#525	C₂×C₁₃	semidirect
561. C₂²×#121	C₂×C₁₃	semidirect
680. C₂²×#41	C₂²×C₁₃	semidirect
681. C₂²×#41	C₂²×C₁₃	semidirect
682. C₂²×#41	C₂²×C₁₃	semidirect
683. C₂²×#41	C₂²×C₁₃	semidirect
686. C₂³×D₄	C₂²×C₁₃	semidirect
687. C₂³×D₄	C₂²×C₁₃	semidirect
688. C₂⁴×C₄	C₂²×C₁₃	semidirect
689. #562	C₂²×C₁₃	semidirect
690. #560	C₂²×C₁₃	semidirect
691. #555	C₂²×C₁₃	semidirect
692. #553	C₂²×C₁₃	semidirect
693. #552	C₂²×C₁₃	semidirect
694. #551	C₂²×C₁₃	semidirect
695. #550	C₂²×C₁₃	semidirect
696. #547	C₂²×C₁₃	semidirect
697. #546	C₂²×C₁₃	semidirect
698. #546	C₂²×C₁₃	semidirect
699. #546	C₂²×C₁₃	semidirect
700. D₄²	C₂²×C₁₃	semidirect
701. #542	C₂²×C₁₃	semidirect
702. #540	C₂²×C₁₃	semidirect
703. #540	C₂²×C₁₃	semidirect
704. #538	C₂²×C₁₃	semidirect
705. #537	C₂²×C₁₃	semidirect
706. #535	C₂²×C₁₃	semidirect
707. #535	C₂²×C₁₃	semidirect
708. #534	C₂²×C₁₃	semidirect
709. C₂×C₄⋊Q₈	C₂²×C₁₃	semidirect
710. C₂×#127	C₂²×C₁₃	semidirect
711. C₂×#127	C₂²×C₁₃	semidirect
712. C₂×#127	C₂²×C₁₃	semidirect
713. C₂×#126	C₂²×C₁₃	semidirect
714. C₂×#126	C₂²×C₁₃	semidirect
715. C₂×#126	C₂²×C₁₃	semidirect
716. C₂×#125	C₂²×C₁₃	semidirect
717. C₂×#125	C₂²×C₁₃	semidirect
718. C₂×#124	C₂²×C₁₃	semidirect
719. C₂×#124	C₂²×C₁₃	semidirect
720. C₂×#124	C₂²×C₁₃	semidirect
721. C₂×#124	C₂²×C₁₃	semidirect
722. C₂×#124	C₂²×C₁₃	semidirect
723. #525	C₂²×C₁₃	semidirect
724. #525	C₂²×C₁₃	semidirect
726. C₂×#123	C₂²×C₁₃	semidirect
727. C₂×#123	C₂²×C₁₃	semidirect
728. C₂×#123	C₂²×C₁₃	semidirect
729. C₂×#123	C₂²×C₁₃	semidirect
730. C₂×#123	C₂²×C₁₃	semidirect
731. C₂×#123	C₂²×C₁₃	semidirect
732. C₂×#123	C₂²×C₁₃	semidirect
733. C₂×#123	C₂²×C₁₃	semidirect
734. C₂×#123	C₂²×C₁₃	semidirect
735. C₂×#123	C₂²×C₁₃	semidirect
736. C₂×#123	C₂²×C₁₃	semidirect
737. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
738. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
739. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
740. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
741. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
742. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
743. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
744. C₂×C₂²⋊Q₈	C₂²×C₁₃	semidirect
749. C₂×#121	C₂²×C₁₃	semidirect
750. C₂×#121	C₂²×C₁₃	semidirect
751. C₂×#121	C₂²×C₁₃	semidirect
752. C₂×#121	C₂²×C₁₃	semidirect
753. C₂×#121	C₂²×C₁₃	semidirect
754. C₂×#121	C₂²×C₁₃	semidirect
755. C₂×#121	C₂²×C₁₃	semidirect
756. C₂×#121	C₂²×C₁₃	semidirect
757. C₂×#121	C₂²×C₁₃	semidirect
758. C₂×#121	C₂²×C₁₃	semidirect
759. C₂×#121	C₂²×C₁₃	semidirect
760. C₂×#121	C₂²×C₁₃	semidirect
761. C₂×#121	C₂²×C₁₃	semidirect
762. C₂×#121	C₂²×C₁₃	semidirect
763. C₂×#121	C₂²×C₁₃	semidirect
764. C₂×#121	C₂²×C₁₃	semidirect
765. C₂×#121	C₂²×C₁₃	semidirect
766. C₂×#121	C₂²×C₁₃	semidirect
767. C₂×#121	C₂²×C₁₃	semidirect
768. C₂×#121	C₂²×C₁₃	semidirect
769. C₂×#121	C₂²×C₁₃	semidirect
770. C₂×#121	C₂²×C₁₃	semidirect
773. C₂×#120	C₂²×C₁₃	semidirect
774. C₂×#120	C₂²×C₁₃	semidirect
775. C₂×#120	C₂²×C₁₃	semidirect
776. C₂×#120	C₂²×C₁₃	semidirect
777. C₂×#120	C₂²×C₁₃	semidirect
778. C₂×#120	C₂²×C₁₃	semidirect
779. C₂×#120	C₂²×C₁₃	semidirect
780. C₂×C₄×Q₈	C₂²×C₁₃	semidirect
782. C₂×C₄×D₄	C₂²×C₁₃	semidirect
783. C₂×C₄×D₄	C₂²×C₁₃	semidirect
784. C₂×C₄×D₄	C₂²×C₁₃	semidirect
785. C₂×C₄×D₄	C₂²×C₁₃	semidirect
786. C₂×C₄×D₄	C₂²×C₁₃	semidirect
787. C₂×C₄×D₄	C₂²×C₁₃	semidirect
788. C₂×C₄×D₄	C₂²×C₁₃	semidirect
789. C₂×C₄×D₄	C₂²×C₁₃	semidirect
790. C₂×C₄×D₄	C₂²×C₁₃	semidirect
791. C₂×C₄×D₄	C₂²×C₁₃	semidirect
792. C₂×#117	C₂²×C₁₃	semidirect
793. C₂×#117	C₂²×C₁₃	semidirect
794. C₂×#117	C₂²×C₁₃	semidirect
795. C₂×#117	C₂²×C₁₃	semidirect
796. C₂×#117	C₂²×C₁₃	semidirect
797. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
798. C₂²×C₄⋊C₄	C₂²×C₁₃	semidirect
799. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
800. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
801. C₂²×C₂²⋊C₄	C₂²×C₁₃	semidirect
863. C₂×#41	C₂³×C₁₃	semidirect
864. C₂×#41	C₂³×C₁₃	semidirect
865. C₂×#41	C₂³×C₁₃	semidirect
866. C₂×#41	C₂³×C₁₃	semidirect
901. C₂²×D₄	C₂³×C₁₃	semidirect
902. C₂²×D₄	C₂³×C₁₃	semidirect
919. C₂³×C₄	C₂³×C₁₃	semidirect
920. C₄⋊Q₈	C₂³×C₁₃	semidirect
921. #127	C₂³×C₁₃	semidirect
922. #127	C₂³×C₁₃	semidirect
923. #127	C₂³×C₁₃	semidirect
924. #126	C₂³×C₁₃	semidirect
925. #126	C₂³×C₁₃	semidirect
926. #126	C₂³×C₁₃	semidirect
927. #125	C₂³×C₁₃	semidirect
928. #125	C₂³×C₁₃	semidirect
929. #124	C₂³×C₁₃	semidirect
930. #124	C₂³×C₁₃	semidirect
931. #124	C₂³×C₁₃	semidirect
932. #124	C₂³×C₁₃	semidirect
933. #124	C₂³×C₁₃	semidirect
935. #123	C₂³×C₁₃	semidirect
936. #123	C₂³×C₁₃	semidirect
937. #123	C₂³×C₁₃	semidirect
938. #123	C₂³×C₁₃	semidirect
939. #123	C₂³×C₁₃	semidirect
940. #123	C₂³×C₁₃	semidirect
941. #123	C₂³×C₁₃	semidirect
942. #123	C₂³×C₁₃	semidirect
943. #123	C₂³×C₁₃	semidirect
944. #123	C₂³×C₁₃	semidirect
945. #123	C₂³×C₁₃	semidirect
946. C₂²⋊Q₈	C₂³×C₁₃	semidirect
947. C₂²⋊Q₈	C₂³×C₁₃	semidirect
948. C₂²⋊Q₈	C₂³×C₁₃	semidirect
949. C₂²⋊Q₈	C₂³×C₁₃	semidirect
950. C₂²⋊Q₈	C₂³×C₁₃	semidirect
951. C₂²⋊Q₈	C₂³×C₁₃	semidirect
952. C₂²⋊Q₈	C₂³×C₁₃	semidirect
953. C₂²⋊Q₈	C₂³×C₁₃	semidirect
958. #121	C₂³×C₁₃	semidirect
959. #121	C₂³×C₁₃	semidirect
960. #121	C₂³×C₁₃	semidirect
961. #121	C₂³×C₁₃	semidirect
962. #121	C₂³×C₁₃	semidirect
963. #121	C₂³×C₁₃	semidirect
964. #121	C₂³×C₁₃	semidirect
965. #121	C₂³×C₁₃	semidirect
966. #121	C₂³×C₁₃	semidirect
967. #121	C₂³×C₁₃	semidirect
968. #121	C₂³×C₁₃	semidirect
969. #121	C₂³×C₁₃	semidirect
970. #121	C₂³×C₁₃	semidirect
971. #121	C₂³×C₁₃	semidirect
972. #121	C₂³×C₁₃	semidirect
973. #121	C₂³×C₁₃	semidirect
974. #121	C₂³×C₁₃	semidirect
975. #121	C₂³×C₁₃	semidirect
976. #121	C₂³×C₁₃	semidirect
977. #121	C₂³×C₁₃	semidirect
978. #121	C₂³×C₁₃	semidirect
981. #120	C₂³×C₁₃	semidirect
982. #120	C₂³×C₁₃	semidirect
983. #120	C₂³×C₁₃	semidirect
984. #120	C₂³×C₁₃	semidirect
985. #120	C₂³×C₁₃	semidirect
986. #120	C₂³×C₁₃	semidirect
987. #120	C₂³×C₁₃	semidirect
988. C₄×Q₈	C₂³×C₁₃	semidirect
990. C₄×D₄	C₂³×C₁₃	semidirect
991. C₄×D₄	C₂³×C₁₃	semidirect
992. C₄×D₄	C₂³×C₁₃	semidirect
993. C₄×D₄	C₂³×C₁₃	semidirect
994. C₄×D₄	C₂³×C₁₃	semidirect
995. C₄×D₄	C₂³×C₁₃	semidirect
996. C₄×D₄	C₂³×C₁₃	semidirect
997. C₄×D₄	C₂³×C₁₃	semidirect
998. C₄×D₄	C₂³×C₁₃	semidirect
999. C₄×D₄	C₂³×C₁₃	semidirect
1000. #117	C₂³×C₁₃	semidirect
1001. #117	C₂³×C₁₃	semidirect
1002. #117	C₂³×C₁₃	semidirect
1003. #117	C₂³×C₁₃	semidirect
1004. #117	C₂³×C₁₃	semidirect
1024. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
1025. C₂×C₄⋊C₄	C₂³×C₁₃	semidirect
1055. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
1056. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
1057. C₂×C₂²⋊C₄	C₂³×C₁₃	semidirect
1071. C₂×C₁₃	#3542	direct (N × H)
1258. C₁₃	C₂×#3542	direct (N × H)
1439. C₂	C₁₃×#3542	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×#3542	2
C₂×C₁₃×#562	2
C₂×C₁₃×#560	2
C₂×C₁₃×#555	2
C₂×C₁₃×#553	2
C₂×C₁₃×#552	2
C₂×C₁₃×#551	2
C₂×C₁₃×#550	2
C₂×C₁₃×#547	2
C₂×C₁₃×#546	2
C₂×D₄²×C₁₃	2
C₂×C₁₃×#542	2
C₂×C₁₃×#540	2
C₂×C₁₃×#538	2
C₂×C₁₃×#537	2
C₂×C₁₃×#535	2
C₂×C₁₃×#534	2
C₂×C₁₃×#525	2
C₂²×C₁₃×#121	2
C₂×#3542	13

Subgroups — C2×C13×#3542 #15749058

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₁₃×#3542 #15749058