Subgroups — C₂×D₁₃×#551 #16769893

Order 3328.

9526 conjugacy classes of subgroups.

The subgroup lattice has 1236 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719292	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#11719384	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719261	C₂	1	2	yes	maximal, complemented
4	C₂×#11719364	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719342	C₂	1	2	yes	maximal, complemented
6	C₂×#11719200	C₂	1	2	yes	maximal, complemented
7	C₂×#11719410	C₂	1	2	yes	maximal, complemented
8	C₂×#11719232	C₂	1	2	yes	maximal, complemented
9	C₂×#11719363	C₂	1	2	yes	maximal, complemented
10	D₁₃×#551	C₂	1	32	yes	maximal, direct product factor
11	C₂×D₁₃×#126	C₂	1	2	yes	maximal, complemented
12	C₂×D₁₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×D₁₃×#123	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×D₁₃×#123	C₂	1	2	yes	maximal, complemented
15	C₂×D₁₃×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
16	C₂×D₁₃×#120	C₂	1	1	yes	maximal, characteristic
17	C₂×C₄×D₄×D₁₃	C₂	1	2	yes	maximal, complemented
18	C₂×D₁₃×#117	C₂	1	2	yes	maximal, complemented
19	C₂²×C₂²⋊C₄×D₁₃	C₂	1	2	yes	maximal, complemented
20	C₂×C₁₃×#551	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂⁵×D₁₃	C₂²	1	1	yes	characteristic
22	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
23	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
24	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
25	C₂³×C₄×D₁₃	C₂²	1	2	yes	—
26	C₂³×C₄×D₁₃	C₂²	1	2	yes	—
27	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
28	C₁₃×#551	C₂²	1	16	yes	complemented
29	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
30	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
34	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
35	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
36	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
37	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
38	C₂×#88207	C₂²	1	1	yes	characteristic
39	C₂²×C₂²⋊Dic₁₃	C₂²	1	2	yes	complemented
40	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88200	C₂²	1	2	yes	complemented
42	C₂×#88191	C₂²	1	2	yes	—
43	C₂×#88191	C₂²	1	1	yes	characteristic
44	C₂×#88190	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88189	C₂²	1	2	yes	complemented
47	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
48	C₂×#88183	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88183	C₂²	1	2	yes	complemented
50	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
51	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
52	C₂²×#6103	C₂²	1	2	yes	complemented
53	C₂²×#6103	C₂²	1	2	yes	complemented
54	C₂×#88180	C₂²	1	2	yes	complemented
55	C₂×#88178	C₂²	1	2	yes	complemented
56	#11719410	C₂²	1	32	yes	complemented
57	D₁₃×#126	C₂²	1	32	yes	complemented
58	#11719384	C₂²	1	16	yes	complemented
59	D₁₃×#124	C₂²	1	16	yes	complemented
60	#11719364	C₂²	1	16	yes	complemented
61	#11719363	C₂²	1	32	yes	complemented
62	D₁₃×#123	C₂²	1	16	yes	complemented
63	D₁₃×#123	C₂²	1	32	yes	complemented
64	#11719342	C₂²	1	32	yes	complemented
65	D₁₃×C₂²⋊Q₈	C₂²	1	32	yes	complemented
66	D₁₃×#120	C₂²	1	16	yes	—
67	#11719292	C₂²	1	16	yes	complemented
68	#11719261	C₂²	1	32	yes	complemented
69	C₄×D₄×D₁₃	C₂²	1	32	yes	complemented
70	#11719232	C₂²	1	32	yes	complemented
71	D₁₃×#117	C₂²	1	32	yes	complemented
72	C₂×#88152	C₂²	1	2	yes	complemented
73	C₂×#88152	C₂²	1	2	yes	complemented
74	C₂×#88152	C₂²	1	2	yes	complemented
75	C₂×#88151	C₂²	1	2	yes	complemented
76	C₂×#88150	C₂²	1	2	yes	complemented
77	C₂×#88150	C₂²	1	2	yes	complemented
78	C₂×#88148	C₂²	1	2	yes	complemented
79	C₂×#88148	C₂²	1	2	yes	complemented
80	C₂×#88148	C₂²	1	2	yes	complemented
81	C₂×#88147	C₂²	1	2	yes	complemented
82	C₂×#88146	C₂²	1	2	yes	complemented
83	C₂×#88146	C₂²	1	2	yes	complemented
84	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
85	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
86	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
87	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
88	#11719200	C₂²	1	32	yes	complemented
89	C₂×#88140	C₂²	1	1	yes	characteristic, complemented
90	C₂×#88140	C₂²	1	2	yes	complemented
91	C₂×#88139	C₂²	1	2	yes	complemented
92	C₂×#88139	C₂²	1	2	yes	complemented
93	C₂×#88137	C₂²	1	2	yes	complemented
94	C₂×#88137	C₂²	1	2	yes	complemented
95	C₂×#88137	C₂²	1	2	yes	complemented
96	C₂×#88136	C₂²	1	2	yes	—
97	C₂×#88136	C₂²	1	1	yes	characteristic
98	C₂×#88135	C₂²	1	2	yes	complemented
99	C₂×#88135	C₂²	1	2	yes	complemented
100	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
101	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
102	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
103	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
104	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
105	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
106	C₂×C₂²⋊C₄×D₁₃	C₂²	1	32	yes	complemented
107	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
108	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
109	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
110	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
111	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
112	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88133	C₂²	1	2	yes	complemented
114	C₂×#88133	C₂²	1	2	yes	complemented
115	C₂×#88133	C₂²	1	2	yes	complemented
116	C₂×#88132	C₂²	1	2	yes	complemented
117	C₂×#88132	C₂²	1	2	yes	complemented
118	C₂×#88131	C₂²	1	2	yes	complemented
119	C₂×#88131	C₂²	1	2	yes	complemented
120	C₂×#88130	C₂²	1	2	yes	complemented
121	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
123	C₂×#88126	C₂²	1	2	yes	complemented
124	C₂×#88126	C₂²	1	2	yes	complemented
125	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
126	C₂×C₄²×D₁₃	C₂²	1	2	yes	complemented
127	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
128	C₂⁴×D₁₃	—	2	16	no	—
129	C₂⁴×D₁₃	—	4	4	no	—
130	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
131	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
132	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
133	C₂⁴×D₁₃	C₂³	1	8	yes	—
134	C₂⁴×D₁₃	C₂³	1	2	yes	—
135	C₂⁴×D₁₃	C₂³	1	2	yes	—
136	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
137	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
138	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
140	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
141	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
142	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
143	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
144	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
145	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
146	C₂³×Dic₁₃	C₂³	1	2	yes	—
147	C₂³×Dic₁₃	C₂³	1	2	yes	—
148	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
149	C₂×Q₈×D₁₃	—	4	4	no	—
150	C₂×Q₈×D₁₃	C₂³	1	8	yes	complemented
151	C₂×D₄×D₁₃	—	2	16	no	—
152	C₂×D₄×D₁₃	—	4	4	no	—
153	C₂×D₄×D₁₃	C₂³	1	16	yes	—
154	C₂×D₄×D₁₃	C₂³	1	8	yes	—
155	C₂²×D₅₂	C₂³	1	2	yes	—
156	C₂²×D₅₂	C₂³	1	1	yes	characteristic
157	C₂²×C₄×D₁₃	—	2	16	no	—
158	C₂²×C₄×D₁₃	—	4	8	no	—
159	C₂²×C₄×D₁₃	—	4	4	no	—
160	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
161	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
162	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
163	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
164	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
165	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
166	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
167	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
168	C₂²×C₄×D₁₃	C₂³	1	16	yes	—
169	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
170	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
171	C₂²×C₄×D₁₃	C₂³	1	16	yes	—
172	C₂²×C₄×D₁₃	C₂³	1	8	yes	complemented
173	C₂²×C₄×D₁₃	C₂³	1	2	yes	complemented
174	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic, complemented
175	C₂²×Dic₂₆	C₂³	1	2	yes	complemented
176	C₁₃×#126	C₂³	1	16	yes	complemented
177	C₁₃×#124	C₂³	1	8	yes	complemented
178	C₁₃×#123	C₂³	1	8	yes	complemented
179	C₁₃×#123	C₂³	1	16	yes	complemented
180	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
181	C₁₃×#120	C₂³	1	8	yes	—
182	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
183	C₁₃×#117	C₂³	1	16	yes	complemented
184	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
185	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
186	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
187	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	complemented
188	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
189	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
190	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
191	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
192	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
193	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
194	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
195	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	complemented
196	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic, complemented
197	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic, complemented
198	C₂×C₄²×C₁₃	C₂³	1	2	yes	complemented
199	#88207	C₂³	1	8	yes	—
200	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
201	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
202	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
203	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
205	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
206	C₂×C₂²⋊Dic₁₃	C₂³	1	16	yes	complemented
207	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
208	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	complemented
209	#88201	C₂³	1	8	yes	complemented
210	#88200	C₂³	1	16	yes	complemented
211	#88191	C₂³	1	16	yes	—
212	#88191	C₂³	1	8	yes	—
213	#88190	C₂³	1	8	yes	complemented
214	#88189	C₂³	1	8	yes	complemented
215	#88189	C₂³	1	16	yes	complemented
216	D₄×Dic₁₃	C₂³	1	16	yes	complemented
217	#88183	C₂³	1	8	yes	complemented
218	#88183	C₂³	1	16	yes	complemented
219	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
220	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
221	C₂×#6103	C₂³	1	2	yes	—
222	C₂×#6103	C₂³	1	2	yes	—
223	C₂×#6103	C₂³	1	2	yes	—
224	C₂×#6103	C₂³	1	2	yes	—
225	C₂×#6103	C₂³	1	2	yes	—
226	C₂×#6103	C₂³	1	2	yes	—
227	C₂×#6103	C₂³	1	2	yes	—
228	C₂×#6103	C₂³	1	2	yes	—
229	C₂×#6103	C₂³	1	2	yes	—
230	C₂×#6103	C₂³	1	2	yes	—
231	C₂×#6103	C₂³	1	2	yes	—
232	C₂×#6103	C₂³	1	16	yes	complemented
233	C₂×#6103	C₂³	1	16	yes	complemented
234	C₂×#6103	C₂³	1	2	yes	complemented
235	C₂×#6103	C₂³	1	2	yes	complemented
236	C₂×#6103	C₂³	1	2	yes	complemented
237	#88180	C₂³	1	16	yes	complemented
238	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
239	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
240	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
241	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	complemented
242	#88178	C₂³	1	16	yes	complemented
243	C₂×#6101	C₂³	1	2	yes	complemented
244	C₂×#6101	C₂³	1	2	yes	complemented
245	C₂×#6101	C₂³	1	2	yes	complemented
246	C₂×#6101	C₂³	1	2	yes	complemented
247	C₂×#6101	C₂³	1	2	yes	complemented
248	C₂×#6101	C₂³	1	2	yes	complemented
249	C₂×#6101	C₂³	1	2	yes	complemented
250	C₂×#6101	C₂³	1	2	yes	complemented
251	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
252	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
253	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
254	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
255	C₂×C₄×Dic₁₃	C₂³	1	2	yes	complemented
256	#88152	C₂³	1	16	yes	complemented
257	#88152	C₂³	1	16	yes	complemented
258	#88152	C₂³	1	16	yes	complemented
259	#88151	C₂³	1	16	yes	complemented
260	#88150	C₂³	1	16	yes	complemented
261	#88150	C₂³	1	16	yes	complemented
262	#88148	C₂³	1	16	yes	complemented
263	#88148	C₂³	1	16	yes	complemented
264	#88148	C₂³	1	16	yes	complemented
265	#88147	C₂³	1	16	yes	complemented
266	#88146	C₂³	1	16	yes	complemented
267	#88146	C₂³	1	16	yes	complemented
268	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
269	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
270	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
271	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
272	#88140	C₂³	1	8	yes	complemented
273	#88140	C₂³	1	16	yes	complemented
274	#88139	C₂³	1	16	yes	complemented
275	#88139	C₂³	1	16	yes	complemented
276	#88137	C₂³	1	16	yes	complemented
277	#88137	C₂³	1	16	yes	complemented
278	#88137	C₂³	1	16	yes	complemented
279	#88136	C₂³	1	16	yes	—
280	#88136	C₂³	1	8	yes	—
281	#88135	C₂³	1	16	yes	complemented
282	#88135	C₂³	1	16	yes	complemented
283	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
284	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
285	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
286	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
287	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
288	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
289	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
290	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
291	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
292	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
293	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
294	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
295	#88133	C₂³	1	16	yes	complemented
296	#88133	C₂³	1	16	yes	complemented
297	#88133	C₂³	1	16	yes	complemented
298	#88132	C₂³	1	16	yes	complemented
299	#88132	C₂³	1	16	yes	complemented
300	#88131	C₂³	1	16	yes	complemented
301	#88131	C₂³	1	16	yes	complemented
302	#88130	C₂³	1	16	yes	complemented
303	#88129	C₂³	1	8	yes	complemented
304	C₄×D₅₂	C₂³	1	16	yes	complemented
305	#88126	C₂³	1	16	yes	complemented
306	#88126	C₂³	1	16	yes	complemented
307	C₄²×D₁₃	C₂³	1	8	yes	complemented
308	C₄²×D₁₃	C₂³	1	16	yes	complemented
309	C₂²×#551	—	13	1	no	maximal, Sylow
310	C₂⁴×C₁₃	—	2	8	no	—
311	C₂⁴×C₁₃	—	4	2	no	—
312	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
313	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
314	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
315	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
316	C₂³×D₁₃	—	2	8	no	—
317	C₂³×D₁₃	—	2	8	no	—
318	C₂³×D₁₃	—	2	8	no	—
319	C₂³×D₁₃	—	2	8	no	—
320	C₂³×D₁₃	—	2	8	no	—
321	C₂³×D₁₃	—	2	64	no	—
322	C₂³×D₁₃	—	2	8	no	—
323	C₂³×D₁₃	—	2	8	no	—
324	C₂³×D₁₃	—	2	4	no	—
325	C₂³×D₁₃	—	2	4	no	—
326	C₂³×D₁₃	—	4	16	no	—
327	C₂³×D₁₃	—	4	2	no	—
328	C₂³×D₁₃	—	4	4	no	—
329	C₂³×D₁₃	—	4	64	no	—
330	C₂³×D₁₃	#41	1	16	yes	—
331	C₂³×D₁₃	C₂⁴	1	4	yes	—
332	C₂³×D₁₃	C₂⁴	1	4	yes	—
333	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
334	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
335	C₂³×D₁₃	C₂⁴	1	4	yes	—
336	C₂³×D₁₃	C₂⁴	1	8	yes	—
337	C₂³×D₁₃	C₂⁴	1	8	yes	—
338	C₂³×D₁₃	C₂⁴	1	2	yes	—
339	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
340	C₂×Q₈×C₁₃	—	4	2	no	—
341	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	complemented
342	C₂×D₄×C₁₃	—	2	8	no	—
343	C₂×D₄×C₁₃	—	4	2	no	—
344	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
345	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
346	C₂²×C₄×C₁₃	—	2	8	no	—
347	C₂²×C₄×C₁₃	—	4	4	no	—
348	C₂²×C₄×C₁₃	—	4	2	no	—
349	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
350	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
351	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
353	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
354	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
355	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
356	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
357	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	complemented
358	C₂×C₂²⋊D₁₃	—	2	8	no	—
359	C₂×C₂²⋊D₁₃	—	2	8	no	—
360	C₂×C₂²⋊D₁₃	—	4	2	no	—
361	C₂×C₂²⋊D₁₃	—	4	2	no	—
362	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
363	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
364	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
365	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
366	C₂²×Dic₁₃	—	2	8	no	—
367	C₂²×Dic₁₃	—	4	4	no	—
368	C₂²×Dic₁₃	—	4	2	no	—
369	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
370	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
371	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
372	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
374	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
375	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
376	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
377	C₂²×Dic₁₃	C₂⁴	1	4	yes	complemented
378	Q₈×D₁₃	—	4	16	no	—
379	D₄×D₁₃	—	2	64	no	—
380	D₄×D₁₃	—	4	16	no	—
381	C₂×D₅₂	—	2	8	no	—
382	C₂×D₅₂	—	4	2	no	—
383	C₂×D₅₂	C₂⁴	1	8	yes	—
384	C₂×D₅₂	C₂⁴	1	4	yes	—
385	C₂×C₄×D₁₃	—	2	8	no	—
386	C₂×C₄×D₁₃	—	2	8	no	—
387	C₂×C₄×D₁₃	—	2	64	no	—
388	C₂×C₄×D₁₃	—	2	8	no	—
389	C₂×C₄×D₁₃	—	2	8	no	—
390	C₂×C₄×D₁₃	—	2	8	no	—
391	C₂×C₄×D₁₃	—	2	8	no	—
392	C₂×C₄×D₁₃	—	2	8	no	—
393	C₂×C₄×D₁₃	—	2	4	no	—
394	C₂×C₄×D₁₃	—	4	32	no	—
395	C₂×C₄×D₁₃	—	4	16	no	—
396	C₂×C₄×D₁₃	—	4	4	no	—
397	C₂×C₄×D₁₃	—	4	4	no	—
398	C₂×C₄×D₁₃	—	4	4	no	—
399	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
400	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
401	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
402	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
403	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
404	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
405	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
406	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
407	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
408	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
409	C₂×C₄×D₁₃	C₂⁴	1	8	yes	complemented
410	C₂×Dic₂₆	—	4	2	no	—
411	C₂×Dic₂₆	—	4	4	no	—
412	C₂×Dic₂₆	C₂⁴	1	4	yes	complemented
413	C₂×Dic₂₆	C₂⁴	1	8	yes	complemented
414	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	complemented
415	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	complemented
416	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	complemented
417	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	complemented
418	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
419	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
420	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
421	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
422	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
423	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
424	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	complemented
425	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	complemented
426	C₄²×C₁₃	C₂⁴	1	4	yes	complemented
427	C₄²×C₁₃	C₂⁴	1	8	yes	complemented
428	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
429	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
430	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
431	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
432	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
433	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
434	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	complemented
435	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	complemented
436	#6103	C₂⁴	1	8	yes	—
437	#6103	C₂⁴	1	8	yes	—
438	#6103	C₂⁴	1	8	yes	—
439	#6103	C₂⁴	1	8	yes	—
440	#6103	C₂⁴	1	8	yes	—
441	#6103	C₂⁴	1	8	yes	—
442	#6103	C₂⁴	1	8	yes	—
443	#6103	C₂⁴	1	8	yes	—
444	#6103	C₂⁴	1	8	yes	—
445	#6103	C₂⁴	1	8	yes	—
446	#6103	C₂⁴	1	8	yes	—
447	#6103	C₂⁴	1	8	yes	complemented
448	#6103	C₂⁴	1	8	yes	complemented
449	#6103	C₂⁴	1	8	yes	complemented
450	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
451	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
452	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
453	C₄⋊Dic₁₃	C₂⁴	1	8	yes	complemented
454	#6101	C₂⁴	1	8	yes	complemented
455	#6101	C₂⁴	1	8	yes	complemented
456	#6101	C₂⁴	1	8	yes	complemented
457	#6101	C₂⁴	1	8	yes	complemented
458	#6101	C₂⁴	1	8	yes	complemented
459	#6101	C₂⁴	1	8	yes	complemented
460	#6101	C₂⁴	1	8	yes	complemented
461	#6101	C₂⁴	1	8	yes	complemented
462	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
463	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
464	C₄×Dic₁₃	C₂⁴	1	4	yes	complemented
465	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
466	C₄×Dic₁₃	C₂⁴	1	8	yes	complemented
467	C₂×#551	—	13	32	no	—
468	C₂×#551	—	13	2	no	—
469	C₂×#551	—	13	1	no	—
470	C₂×#551	—	13	2	no	—
471	C₂×#551	—	13	1	no	—
472	C₂×#551	—	13	2	no	—
473	C₂×#551	—	13	1	no	—
474	C₂×#551	—	13	2	no	—
475	C₂×#551	—	13	2	no	—
476	C₂×#551	—	13	2	no	—
477	C₂×#551	D₁₃	1	1	yes	characteristic, direct product factor
478	C₂²×#126	—	13	2	no	—
479	C₂²×#124	—	13	1	no	—
480	C₂²×#123	—	13	2	no	—
481	C₂²×#123	—	13	1	no	—
482	C₂²×C₂²⋊Q₈	—	13	2	no	—
483	C₂²×#120	—	13	1	no	—
484	C₂²×C₄×D₄	—	13	2	no	—
485	C₂²×#117	—	13	2	no	—
486	C₂³×C₂²⋊C₄	—	13	2	no	—
487	C₂³×C₁₃	—	2	4	no	—
488	C₂³×C₁₃	—	2	4	no	—
489	C₂³×C₁₃	—	2	4	no	—
490	C₂³×C₁₃	—	2	16	no	—
491	C₂³×C₁₃	—	2	4	no	—
492	C₂³×C₁₃	—	2	2	no	—
493	C₂³×C₁₃	—	2	2	no	—
494	C₂³×C₁₃	—	4	4	no	—
495	C₂³×C₁₃	—	4	16	no	—
496	C₂³×C₁₃	C₂×#41	1	8	yes	—
497	C₂³×C₁₃	C₂⁵	1	2	yes	—
498	C₂³×C₁₃	C₂⁵	1	2	yes	—
499	C₂³×C₁₃	C₂⁵	1	4	yes	—
500	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
501	C₂²×D₁₃	—	2	4	no	—
502	C₂²×D₁₃	—	2	4	no	—
503	C₂²×D₁₃	—	2	64	no	—
504	C₂²×D₁₃	—	2	16	no	—
505	C₂²×D₁₃	—	2	16	no	—
506	C₂²×D₁₃	—	2	4	no	—
507	C₂²×D₁₃	—	2	16	no	—
508	C₂²×D₁₃	—	2	4	no	—
509	C₂²×D₁₃	—	2	2	no	—
510	C₂²×D₁₃	—	2	2	no	—
511	C₂²×D₁₃	—	2	16	no	—
512	C₂²×D₁₃	—	2	16	no	—
513	C₂²×D₁₃	—	2	16	no	—
514	C₂²×D₁₃	—	2	16	no	—
515	C₂²×D₁₃	—	2	8	no	—
516	C₂²×D₁₃	—	2	8	no	—
517	C₂²×D₁₃	—	4	4	no	—
518	C₂²×D₁₃	—	4	8	no	—
519	C₂²×D₁₃	—	4	16	no	—
520	C₂²×D₁₃	—	4	128	no	—
521	C₂²×D₁₃	—	4	32	no	—
522	C₂²×D₁₃	—	4	16	no	—
523	C₂²×D₁₃	—	4	16	no	—
524	C₂²×D₁₃	C₂×#41	1	8	yes	—
525	C₂²×D₁₃	C₂×#41	1	32	yes	—
526	C₂²×D₁₃	C₂×#41	1	8	yes	—
527	C₂²×D₁₃	H(5,𝔽₂)	1	4	yes	—
528	C₂²×D₁₃	C₂⁵	1	2	yes	—
529	C₂²×D₁₃	C₂⁵	1	2	yes	—
530	C₂²×D₁₃	C₂⁵	1	4	yes	—
531	C₂²×D₁₃	C₂⁵	1	2	yes	—
532	Q₈×C₁₃	—	4	4	no	—
533	D₄×C₁₃	—	2	16	no	—
534	D₄×C₁₃	—	4	4	no	—
535	C₂×C₄×C₁₃	—	2	16	no	—
536	C₂×C₄×C₁₃	—	2	4	no	—
537	C₂×C₄×C₁₃	—	2	4	no	—
538	C₂×C₄×C₁₃	—	2	4	no	—
539	C₂×C₄×C₁₃	—	2	4	no	—
540	C₂×C₄×C₁₃	—	2	2	no	—
541	C₂×C₄×C₁₃	—	2	4	no	—
542	C₂×C₄×C₁₃	—	4	8	no	—
543	C₂×C₄×C₁₃	—	4	4	no	—
544	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
545	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
546	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
547	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
548	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
549	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
550	C₂²⋊D₁₃	—	2	16	no	—
551	C₂²⋊D₁₃	—	2	16	no	—
552	C₂²⋊D₁₃	—	4	4	no	—
553	C₂²⋊D₁₃	—	4	4	no	—
554	C₂×Dic₁₃	—	2	16	no	—
555	C₂×Dic₁₃	—	2	4	no	—
556	C₂×Dic₁₃	—	2	4	no	—
557	C₂×Dic₁₃	—	2	4	no	—
558	C₂×Dic₁₃	—	2	4	no	—
559	C₂×Dic₁₃	—	2	2	no	—
560	C₂×Dic₁₃	—	2	4	no	—
561	C₂×Dic₁₃	—	4	8	no	—
562	C₂×Dic₁₃	—	4	4	no	—
563	C₂×Dic₁₃	C₂⁵	1	4	yes	—
564	C₂×Dic₁₃	C₂⁵	1	4	yes	—
565	C₂×Dic₁₃	C₂⁵	1	2	yes	—
566	C₂×Dic₁₃	C₂⁵	1	4	yes	—
567	C₂×Dic₁₃	C₂⁵	1	4	yes	—
568	C₂×Dic₁₃	C₂⁵	1	4	yes	—
569	D₅₂	—	2	16	no	—
570	D₅₂	—	4	4	no	—
571	C₄×D₁₃	—	2	16	no	—
572	C₄×D₁₃	—	2	16	no	—
573	C₄×D₁₃	—	2	16	no	—
574	C₄×D₁₃	—	2	16	no	—
575	C₄×D₁₃	—	2	16	no	—
576	C₄×D₁₃	—	2	16	no	—
577	C₄×D₁₃	—	2	16	no	—
578	C₄×D₁₃	—	2	8	no	—
579	C₄×D₁₃	—	4	8	no	—
580	C₄×D₁₃	—	4	8	no	—
581	C₄×D₁₃	—	4	8	no	—
582	Dic₂₆	—	4	4	no	—
583	Dic₂₆	—	4	8	no	—
584	C₂⁶	—	13	1	no	—
585	C₂³×Q₈	—	13	1	no	—
586	C₂³×D₄	—	13	2	no	—
587	C₂³×D₄	—	13	1	no	—
588	C₂⁴×C₄	—	13	2	no	—
589	C₂⁴×C₄	—	13	2	no	—
590	C₂⁴×C₄	—	13	1	no	—
591	#551	—	13	32	no	—
592	#551	—	13	16	no	—
593	#551	—	13	32	no	—
594	#551	—	13	16	no	—
595	#551	—	13	32	no	—
596	#551	—	13	16	no	—
597	#551	—	13	32	no	—
598	#551	—	13	32	no	—
599	#551	—	13	32	no	—
600	#551	C₂×D₁₃	1	16	yes	direct product factor
601	C₂×#126	—	13	32	no	—
602	C₂×#126	—	13	2	no	—
603	C₂×#126	—	13	2	no	—
604	C₂×#126	—	13	2	no	—
605	C₂×#126	—	13	2	no	—
606	C₂×#126	—	13	2	no	—
607	C₂×#126	—	13	2	no	—
608	C₂×#126	—	13	2	no	—
609	C₂×#126	C₂×D₁₃	1	2	yes	complemented
610	C₂×#124	—	13	1	no	—
611	C₂×#124	—	13	1	no	—
612	C₂×#124	—	13	16	no	—
613	C₂×#124	—	13	2	no	—
614	C₂×#124	—	13	2	no	—
615	C₂×#124	—	13	1	no	—
616	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
617	C₂×#123	—	13	2	no	—
618	C₂×#123	—	13	1	no	—
619	C₂×#123	—	13	2	no	—
620	C₂×#123	—	13	1	no	—
621	C₂×#123	—	13	32	no	—
622	C₂×#123	—	13	16	no	—
623	C₂×#123	—	13	2	no	—
624	C₂×#123	—	13	2	no	—
625	C₂×#123	—	13	2	no	—
626	C₂×#123	—	13	2	no	—
627	C₂×#123	—	13	2	no	—
628	C₂×#123	—	13	2	no	—
629	C₂×#123	—	13	2	no	—
630	C₂×#123	—	13	1	no	—
631	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
632	C₂×#123	C₂×D₁₃	1	2	yes	complemented
633	C₂×C₂²⋊Q₈	—	13	2	no	—
634	C₂×C₂²⋊Q₈	—	13	2	no	—
635	C₂×C₂²⋊Q₈	—	13	32	no	—
636	C₂×C₂²⋊Q₈	—	13	2	no	—
637	C₂×C₂²⋊Q₈	—	13	2	no	—
638	C₂×C₂²⋊Q₈	—	13	2	no	—
639	C₂×C₂²⋊Q₈	—	13	2	no	—
640	C₂×C₂²⋊Q₈	—	13	2	no	—
641	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
642	C₂×#120	—	13	1	no	—
643	C₂×#120	—	13	2	no	—
644	C₂×#120	—	13	1	no	—
645	C₂×#120	—	13	16	no	—
646	C₂×#120	—	13	1	no	—
647	C₂×#120	—	13	2	no	—
648	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
649	C₂×C₄×D₄	—	13	2	no	—
650	C₂×C₄×D₄	—	13	2	no	—
651	C₂×C₄×D₄	—	13	2	no	—
652	C₂×C₄×D₄	—	13	32	no	—
653	C₂×C₄×D₄	—	13	2	no	—
654	C₂×C₄×D₄	—	13	2	no	—
655	C₂×C₄×D₄	—	13	2	no	—
656	C₂×C₄×D₄	—	13	2	no	—
657	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
658	C₂×#117	—	13	2	no	—
659	C₂×#117	—	13	32	no	—
660	C₂×#117	—	13	2	no	—
661	C₂×#117	—	13	2	no	—
662	C₂×#117	—	13	2	no	—
663	C₂×#117	—	13	2	no	—
664	C₂×#117	—	13	2	no	—
665	C₂×#117	—	13	2	no	—
666	C₂×#117	C₂×D₁₃	1	2	yes	complemented
667	C₂²×C₄⋊C₄	—	13	2	no	—
668	C₂²×C₄⋊C₄	—	13	2	no	—
669	C₂²×C₄⋊C₄	—	13	2	no	—
670	C₂²×C₄⋊C₄	—	13	2	no	—
671	C₂²×C₂²⋊C₄	—	13	2	no	—
672	C₂²×C₂²⋊C₄	—	13	2	no	—
673	C₂²×C₂²⋊C₄	—	13	2	no	—
674	C₂²×C₂²⋊C₄	—	13	2	no	—
675	C₂²×C₂²⋊C₄	—	13	2	no	—
676	C₂²×C₂²⋊C₄	—	13	2	no	—
677	C₂²×C₂²⋊C₄	—	13	2	no	—
678	C₂²×C₂²⋊C₄	—	13	2	no	—
679	C₂²×C₂²⋊C₄	—	13	1	no	—
680	C₂²×C₂²⋊C₄	—	13	2	no	—
681	C₂²×C₂²⋊C₄	—	13	2	no	—
682	C₂²×C₂²⋊C₄	—	13	2	no	—
683	C₂²×C₂²⋊C₄	—	13	2	no	—
684	C₂²×C₂²⋊C₄	—	13	32	no	—
685	C₂²×C₂²⋊C₄	—	13	2	no	—
686	C₂²×C₂²⋊C₄	—	13	1	no	—
687	C₂²×C₂²⋊C₄	C₂×D₁₃	1	2	yes	complemented
688	C₂²×C₄²	—	13	1	no	—
689	C₂²×C₄²	—	13	2	no	—
690	C₂²×C₁₃	—	2	4	no	—
691	C₂²×C₁₃	—	2	4	no	—
692	C₂²×C₁₃	—	2	16	no	—
693	C₂²×C₁₃	—	2	4	no	—
694	C₂²×C₁₃	—	2	4	no	—
695	C₂²×C₁₃	—	2	2	no	—
696	C₂²×C₁₃	—	2	2	no	—
697	C₂²×C₁₃	—	4	16	no	—
698	C₂²×C₁₃	—	4	4	no	—
699	C₂²×C₁₃	—	4	4	no	—
700	C₂²×C₁₃	C₂²×#41	1	8	yes	—
701	C₂²×C₁₃	C₂²×#41	1	4	yes	—
702	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
703	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
704	C₂×D₁₃	—	2	4	no	—
705	C₂×D₁₃	—	2	4	no	—
706	C₂×D₁₃	—	2	16	no	—
707	C₂×D₁₃	—	2	64	no	—
708	C₂×D₁₃	—	2	4	no	—
709	C₂×D₁₃	—	2	4	no	—
710	C₂×D₁₃	—	2	2	no	—
711	C₂×D₁₃	—	2	2	no	—
712	C₂×D₁₃	—	4	16	no	—
713	C₂×D₁₃	—	4	32	no	—
714	C₂×D₁₃	—	4	4	no	—
715	C₂×D₁₃	—	4	4	no	—
716	C₂×D₁₃	—	4	16	no	—
717	C₂×D₁₃	—	4	16	no	—
718	C₂×D₁₃	#551	1	16	yes	direct product factor
719	C₂×D₁₃	C₂²×#41	1	8	yes	—
720	C₂×D₁₃	C₂²×#41	1	8	yes	—
721	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
722	C₄×C₁₃	—	2	4	no	—
723	C₄×C₁₃	—	2	4	no	—
724	C₄×C₁₃	—	2	4	no	—
725	C₄×C₁₃	—	2	4	no	—
726	C₄×C₁₃	—	2	2	no	—
727	C₄×C₁₃	—	2	4	no	—
728	Dic₁₃	—	2	4	no	—
729	Dic₁₃	—	2	4	no	—
730	Dic₁₃	—	2	4	no	—
731	Dic₁₃	—	2	4	no	—
732	Dic₁₃	—	2	2	no	—
733	Dic₁₃	—	2	4	no	—
734	C₂⁵	—	13	2	no	—
735	C₂⁵	—	13	1	no	—
736	C₂⁵	—	13	1	no	—
737	C₂⁵	—	13	8	no	—
738	C₂⁵	—	13	1	no	—
739	C₂⁵	—	13	2	no	—
740	C₂⁵	—	26	16	no	—
741	C₂⁵	—	52	4	no	—
742	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
743	C₂²×Q₈	—	13	8	no	—
744	C₂²×Q₈	—	13	2	no	—
745	C₂²×Q₈	—	13	1	no	—
746	C₂²×Q₈	—	52	4	no	—
747	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
748	C₂²×D₄	—	13	2	no	—
749	C₂²×D₄	—	13	2	no	—
750	C₂²×D₄	—	13	1	no	—
751	C₂²×D₄	—	13	1	no	—
752	C₂²×D₄	—	13	16	no	—
753	C₂²×D₄	—	13	8	no	—
754	C₂²×D₄	—	13	2	no	—
755	C₂²×D₄	—	13	1	no	—
756	C₂²×D₄	—	26	16	no	—
757	C₂²×D₄	—	52	4	no	—
758	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
759	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
760	C₂³×C₄	—	13	2	no	—
761	C₂³×C₄	—	13	2	no	—
762	C₂³×C₄	—	13	1	no	—
763	C₂³×C₄	—	13	2	no	—
764	C₂³×C₄	—	13	2	no	—
765	C₂³×C₄	—	13	2	no	—
766	C₂³×C₄	—	13	2	no	—
767	C₂³×C₄	—	13	2	no	—
768	C₂³×C₄	—	13	1	no	—
769	C₂³×C₄	—	13	16	no	—
770	C₂³×C₄	—	13	2	no	—
771	C₂³×C₄	—	13	2	no	—
772	C₂³×C₄	—	13	2	no	—
773	C₂³×C₄	—	13	2	no	—
774	C₂³×C₄	—	13	16	no	—
775	C₂³×C₄	—	13	2	no	—
776	C₂³×C₄	—	13	8	no	—
777	C₂³×C₄	—	26	16	no	—
778	C₂³×C₄	—	52	8	no	—
779	C₂³×C₄	—	52	4	no	—
780	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
781	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
782	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
783	#126	—	13	16	no	—
784	#126	—	13	16	no	—
785	#126	—	13	16	no	—
786	#126	—	13	16	no	—
787	#126	—	13	16	no	—
788	#126	—	13	16	no	—
789	#126	—	13	16	no	—
790	#126	C₂²×D₁₃	1	16	yes	complemented
791	#124	—	13	8	no	—
792	#124	—	13	8	no	—
793	#124	—	13	16	no	—
794	#124	—	13	16	no	—
795	#124	—	13	8	no	—
796	#124	C₂²×D₁₃	1	8	yes	complemented
797	#123	—	13	16	no	—
798	#123	—	13	8	no	—
799	#123	—	13	16	no	—
800	#123	—	13	8	no	—
801	#123	—	13	16	no	—
802	#123	—	13	16	no	—
803	#123	—	13	16	no	—
804	#123	—	13	16	no	—
805	#123	—	13	16	no	—
806	#123	—	13	16	no	—
807	#123	—	13	16	no	—
808	#123	—	13	8	no	—
809	#123	C₂²×D₁₃	1	8	yes	complemented
810	#123	C₂²×D₁₃	1	16	yes	complemented
811	C₂²⋊Q₈	—	13	16	no	—
812	C₂²⋊Q₈	—	13	16	no	—
813	C₂²⋊Q₈	—	13	16	no	—
814	C₂²⋊Q₈	—	13	16	no	—
815	C₂²⋊Q₈	—	13	16	no	—
816	C₂²⋊Q₈	—	13	16	no	—
817	C₂²⋊Q₈	—	13	16	no	—
818	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
819	#120	—	13	8	no	—
820	#120	—	13	16	no	—
821	#120	—	13	8	no	—
822	#120	—	13	8	no	—
823	#120	—	13	16	no	—
824	#120	C₂²×D₁₃	1	8	yes	—
825	C₄×D₄	—	13	16	no	—
826	C₄×D₄	—	13	16	no	—
827	C₄×D₄	—	13	16	no	—
828	C₄×D₄	—	13	16	no	—
829	C₄×D₄	—	13	16	no	—
830	C₄×D₄	—	13	16	no	—
831	C₄×D₄	—	13	16	no	—
832	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
833	#117	—	13	16	no	—
834	#117	—	13	16	no	—
835	#117	—	13	16	no	—
836	#117	—	13	16	no	—
837	#117	—	13	16	no	—
838	#117	—	13	16	no	—
839	#117	—	13	16	no	—
840	#117	C₂²×D₁₃	1	16	yes	complemented
841	C₂×C₄⋊C₄	—	13	2	no	—
842	C₂×C₄⋊C₄	—	13	2	no	—
843	C₂×C₄⋊C₄	—	13	2	no	—
844	C₂×C₄⋊C₄	—	13	2	no	—
845	C₂×C₄⋊C₄	—	13	2	no	—
846	C₂×C₄⋊C₄	—	13	2	no	—
847	C₂×C₄⋊C₄	—	13	2	no	—
848	C₂×C₄⋊C₄	—	13	2	no	—
849	C₂×C₄⋊C₄	—	13	2	no	—
850	C₂×C₄⋊C₄	—	13	2	no	—
851	C₂×C₄⋊C₄	—	13	2	no	—
852	C₂×C₄⋊C₄	—	13	2	no	—
853	C₂×C₄⋊C₄	—	13	16	no	—
854	C₂×C₄⋊C₄	—	13	16	no	—
855	C₂×C₄⋊C₄	—	13	16	no	—
856	C₂×C₄⋊C₄	—	13	16	no	—
857	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	complemented
858	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	complemented
859	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	complemented
860	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	complemented
861	C₂×C₂²⋊C₄	—	13	2	no	—
862	C₂×C₂²⋊C₄	—	13	2	no	—
863	C₂×C₂²⋊C₄	—	13	2	no	—
864	C₂×C₂²⋊C₄	—	13	2	no	—
865	C₂×C₂²⋊C₄	—	13	16	no	—
866	C₂×C₂²⋊C₄	—	13	2	no	—
867	C₂×C₂²⋊C₄	—	13	2	no	—
868	C₂×C₂²⋊C₄	—	13	1	no	—
869	C₂×C₂²⋊C₄	—	13	1	no	—
870	C₂×C₂²⋊C₄	—	13	2	no	—
871	C₂×C₂²⋊C₄	—	13	2	no	—
872	C₂×C₂²⋊C₄	—	13	2	no	—
873	C₂×C₂²⋊C₄	—	13	2	no	—
874	C₂×C₂²⋊C₄	—	13	2	no	—
875	C₂×C₂²⋊C₄	—	13	2	no	—
876	C₂×C₂²⋊C₄	—	13	2	no	—
877	C₂×C₂²⋊C₄	—	13	2	no	—
878	C₂×C₂²⋊C₄	—	13	16	no	—
879	C₂×C₂²⋊C₄	—	13	16	no	—
880	C₂×C₂²⋊C₄	—	13	2	no	—
881	C₂×C₂²⋊C₄	—	13	2	no	—
882	C₂×C₂²⋊C₄	—	13	2	no	—
883	C₂×C₂²⋊C₄	—	13	2	no	—
884	C₂×C₂²⋊C₄	—	13	2	no	—
885	C₂×C₂²⋊C₄	—	13	2	no	—
886	C₂×C₂²⋊C₄	—	13	16	no	—
887	C₂×C₂²⋊C₄	—	13	16	no	—
888	C₂×C₂²⋊C₄	—	13	16	no	—
889	C₂×C₂²⋊C₄	—	13	16	no	—
890	C₂×C₂²⋊C₄	—	13	16	no	—
891	C₂×C₂²⋊C₄	—	13	16	no	—
892	C₂×C₂²⋊C₄	—	13	16	no	—
893	C₂×C₂²⋊C₄	—	13	16	no	—
894	C₂×C₂²⋊C₄	—	13	16	no	—
895	C₂×C₂²⋊C₄	—	13	8	no	—
896	C₂×C₂²⋊C₄	—	13	16	no	—
897	C₂×C₂²⋊C₄	—	13	8	no	—
898	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
899	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
900	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
901	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
902	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
903	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
904	C₂×C₂²⋊C₄	C₂²×D₁₃	1	16	yes	complemented
905	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	complemented
906	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
907	C₂×C₄²	—	13	1	no	—
908	C₂×C₄²	—	13	2	no	—
909	C₂×C₄²	—	13	2	no	—
910	C₂×C₄²	—	13	2	no	—
911	C₂×C₄²	—	13	2	no	—
912	C₂×C₄²	—	13	8	no	—
913	C₂×C₄²	—	13	16	no	—
914	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic, complemented
915	C₂×C₄²	C₂²×D₁₃	1	2	yes	complemented
916	C₂×C₁₃	—	2	8	no	—
917	C₂×C₁₃	—	4	2	no	—
918	C₂×C₁₃	—	4	2	no	—
919	C₂×C₁₃	C₂×#551	1	4	yes	complemented
920	C₂×C₁₃	C₂³×#41	1	2	yes	—
921	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
922	D₁₃	—	2	8	no	—
923	D₁₃	—	4	2	no	—
924	D₁₃	—	4	2	no	—
925	D₁₃	C₂×#551	1	8	yes	direct product factor
926	C₂⁴	—	2	8	no	—
927	C₂⁴	—	4	2	no	—
928	C₂⁴	—	13	1	no	—
929	C₂⁴	—	13	16	no	—
930	C₂⁴	—	13	8	no	—
931	C₂⁴	—	13	2	no	—
932	C₂⁴	—	13	4	no	—
933	C₂⁴	—	13	4	no	—
934	C₂⁴	—	13	1	no	—
935	C₂⁴	—	13	1	no	—
936	C₂⁴	—	13	4	no	—
937	C₂⁴	—	13	8	no	—
938	C₂⁴	—	26	8	no	—
939	C₂⁴	—	26	8	no	—
940	C₂⁴	—	26	4	no	—
941	C₂⁴	—	26	8	no	—
942	C₂⁴	—	26	4	no	—
943	C₂⁴	—	26	8	no	—
944	C₂⁴	—	26	8	no	—
945	C₂⁴	—	26	64	no	—
946	C₂⁴	—	26	8	no	—
947	C₂⁴	—	26	8	no	—
948	C₂⁴	—	52	4	no	—
949	C₂⁴	—	52	2	no	—
950	C₂⁴	—	52	16	no	—
951	C₂⁴	—	52	64	no	—
952	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
953	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
954	C₂⁴	C₂³×D₁₃	1	4	yes	—
955	C₂⁴	C₂³×D₁₃	1	2	yes	—
956	C₂×Q₈	—	4	2	no	—
957	C₂×Q₈	—	13	8	no	—
958	C₂×Q₈	—	13	4	no	—
959	C₂×Q₈	—	52	4	no	—
960	C₂×Q₈	—	52	2	no	—
961	C₂×Q₈	—	52	16	no	—
962	C₂×Q₈	C₂³×D₁₃	1	4	yes	complemented
963	C₂×D₄	—	2	8	no	—
964	C₂×D₄	—	4	2	no	—
965	C₂×D₄	—	13	8	no	—
966	C₂×D₄	—	13	8	no	—
967	C₂×D₄	—	13	4	no	—
968	C₂×D₄	—	13	4	no	—
969	C₂×D₄	—	13	8	no	—
970	C₂×D₄	—	13	4	no	—
971	C₂×D₄	—	26	8	no	—
972	C₂×D₄	—	26	64	no	—
973	C₂×D₄	—	26	8	no	—
974	C₂×D₄	—	26	8	no	—
975	C₂×D₄	—	52	2	no	—
976	C₂×D₄	—	52	16	no	—
977	C₂×D₄	—	52	2	no	—
978	C₂×D₄	—	52	2	no	—
979	C₂×D₄	C₂³×D₁₃	1	8	yes	—
980	C₂×D₄	C₂³×D₁₃	1	4	yes	—
981	C₂²×C₄	—	2	8	no	—
982	C₂²×C₄	—	4	4	no	—
983	C₂²×C₄	—	4	2	no	—
984	C₂²×C₄	—	13	8	no	—
985	C₂²×C₄	—	13	2	no	—
986	C₂²×C₄	—	13	2	no	—
987	C₂²×C₄	—	13	2	no	—
988	C₂²×C₄	—	13	1	no	—
989	C₂²×C₄	—	13	2	no	—
990	C₂²×C₄	—	13	2	no	—
991	C₂²×C₄	—	13	8	no	—
992	C₂²×C₄	—	13	4	no	—
993	C₂²×C₄	—	13	8	no	—
994	C₂²×C₄	—	13	8	no	—
995	C₂²×C₄	—	13	8	no	—
996	C₂²×C₄	—	13	4	no	—
997	C₂²×C₄	—	13	8	no	—
998	C₂²×C₄	—	13	8	no	—
999	C₂²×C₄	—	13	8	no	—
1000	C₂²×C₄	—	13	8	no	—
1001	C₂²×C₄	—	13	8	no	—
1002	C₂²×C₄	—	13	8	no	—
1003	C₂²×C₄	—	13	8	no	—
1004	C₂²×C₄	—	26	8	no	—
1005	C₂²×C₄	—	26	8	no	—
1006	C₂²×C₄	—	26	64	no	—
1007	C₂²×C₄	—	26	8	no	—
1008	C₂²×C₄	—	26	8	no	—
1009	C₂²×C₄	—	26	8	no	—
1010	C₂²×C₄	—	26	8	no	—
1011	C₂²×C₄	—	26	8	no	—
1012	C₂²×C₄	—	26	4	no	—
1013	C₂²×C₄	—	26	8	no	—
1014	C₂²×C₄	—	52	4	no	—
1015	C₂²×C₄	—	52	4	no	—
1016	C₂²×C₄	—	52	4	no	—
1017	C₂²×C₄	—	52	32	no	—
1018	C₂²×C₄	—	52	16	no	—
1019	C₂²×C₄	—	52	2	no	—
1020	C₂²×C₄	—	52	4	no	—
1021	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1022	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1023	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1024	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1025	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1027	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1028	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1029	C₂²×C₄	C₂³×D₁₃	1	4	yes	complemented
1030	C₄⋊C₄	—	13	8	no	—
1031	C₄⋊C₄	—	13	8	no	—
1032	C₄⋊C₄	—	13	8	no	—
1033	C₄⋊C₄	—	13	8	no	—
1034	C₄⋊C₄	—	13	8	no	—
1035	C₄⋊C₄	—	13	8	no	—
1036	C₄⋊C₄	—	13	8	no	—
1037	C₄⋊C₄	—	13	8	no	—
1038	C₄⋊C₄	—	13	8	no	—
1039	C₄⋊C₄	—	13	8	no	—
1040	C₄⋊C₄	—	13	8	no	—
1041	C₄⋊C₄	—	13	8	no	—
1042	C₄⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1043	C₄⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1044	C₄⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1045	C₄⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1046	C₂²⋊C₄	—	13	8	no	—
1047	C₂²⋊C₄	—	13	8	no	—
1048	C₂²⋊C₄	—	13	8	no	—
1049	C₂²⋊C₄	—	13	8	no	—
1050	C₂²⋊C₄	—	13	8	no	—
1051	C₂²⋊C₄	—	13	8	no	—
1052	C₂²⋊C₄	—	13	4	no	—
1053	C₂²⋊C₄	—	13	4	no	—
1054	C₂²⋊C₄	—	13	8	no	—
1055	C₂²⋊C₄	—	13	8	no	—
1056	C₂²⋊C₄	—	13	8	no	—
1057	C₂²⋊C₄	—	13	8	no	—
1058	C₂²⋊C₄	—	13	8	no	—
1059	C₂²⋊C₄	—	13	8	no	—
1060	C₂²⋊C₄	—	13	8	no	—
1061	C₂²⋊C₄	—	13	8	no	—
1062	C₂²⋊C₄	—	13	8	no	—
1063	C₂²⋊C₄	—	13	8	no	—
1064	C₂²⋊C₄	—	13	8	no	—
1065	C₂²⋊C₄	—	13	8	no	—
1066	C₂²⋊C₄	—	13	8	no	—
1067	C₂²⋊C₄	—	13	8	no	—
1068	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1069	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1070	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1071	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1072	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1073	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1074	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	complemented
1075	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	complemented
1076	C₄²	—	13	4	no	—
1077	C₄²	—	13	8	no	—
1078	C₄²	—	13	8	no	—
1079	C₄²	—	13	8	no	—
1080	C₄²	—	13	8	no	—
1081	C₄²	C₂³×D₁₃	1	4	yes	complemented
1082	C₄²	C₂³×D₁₃	1	8	yes	complemented
1083	C₁₃	C₂²×#551	1	1	yes	characteristic, complemented, Sylow
1084	C₂³	—	2	4	no	—
1085	C₂³	—	2	4	no	—
1086	C₂³	—	2	4	no	—
1087	C₂³	—	2	16	no	—
1088	C₂³	—	2	4	no	—
1089	C₂³	—	2	2	no	—
1090	C₂³	—	2	2	no	—
1091	C₂³	—	4	4	no	—
1092	C₂³	—	4	16	no	—
1093	C₂³	—	13	8	no	—
1094	C₂³	—	13	4	no	—
1095	C₂³	—	13	2	no	—
1096	C₂³	—	13	32	no	—
1097	C₂³	—	13	8	no	—
1098	C₂³	—	13	4	no	—
1099	C₂³	—	13	2	no	—
1100	C₂³	—	13	2	no	—
1101	C₂³	—	26	16	no	—
1102	C₂³	—	26	16	no	—
1103	C₂³	—	26	64	no	—
1104	C₂³	—	26	8	no	—
1105	C₂³	—	26	16	no	—
1106	C₂³	—	26	8	no	—
1107	C₂³	—	26	16	no	—
1108	C₂³	—	26	16	no	—
1109	C₂³	—	26	16	no	—
1110	C₂³	—	26	4	no	—
1111	C₂³	—	26	4	no	—
1112	C₂³	—	26	4	no	—
1113	C₂³	—	26	16	no	—
1114	C₂³	—	26	4	no	—
1115	C₂³	—	26	2	no	—
1116	C₂³	—	26	2	no	—
1117	C₂³	—	52	8	no	—
1118	C₂³	—	52	4	no	—
1119	C₂³	—	52	32	no	—
1120	C₂³	—	52	16	no	—
1121	C₂³	—	52	16	no	—
1122	C₂³	—	52	128	no	—
1123	C₂³	—	52	16	no	—
1124	C₂³	#41×D₁₃	1	8	yes	—
1125	C₂³	C₂⁴×D₁₃	1	2	yes	—
1126	C₂³	C₂⁴×D₁₃	1	2	yes	—
1127	C₂³	C₂⁴×D₁₃	1	4	yes	—
1128	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1129	Q₈	—	4	4	no	—
1130	Q₈	—	52	8	no	—
1131	Q₈	—	52	4	no	—
1132	D₄	—	2	16	no	—
1133	D₄	—	4	4	no	—
1134	D₄	—	26	16	no	—
1135	D₄	—	26	16	no	—
1136	D₄	—	26	16	no	—
1137	D₄	—	52	4	no	—
1138	D₄	—	52	4	no	—
1139	D₄	—	52	4	no	—
1140	C₂×C₄	—	2	16	no	—
1141	C₂×C₄	—	2	4	no	—
1142	C₂×C₄	—	2	4	no	—
1143	C₂×C₄	—	2	4	no	—
1144	C₂×C₄	—	2	4	no	—
1145	C₂×C₄	—	2	4	no	—
1146	C₂×C₄	—	2	2	no	—
1147	C₂×C₄	—	4	8	no	—
1148	C₂×C₄	—	4	4	no	—
1149	C₂×C₄	—	13	4	no	—
1150	C₂×C₄	—	13	4	no	—
1151	C₂×C₄	—	13	4	no	—
1152	C₂×C₄	—	13	2	no	—
1153	C₂×C₄	—	13	4	no	—
1154	C₂×C₄	—	13	4	no	—
1155	C₂×C₄	—	26	16	no	—
1156	C₂×C₄	—	26	16	no	—
1157	C₂×C₄	—	26	16	no	—
1158	C₂×C₄	—	26	16	no	—
1159	C₂×C₄	—	26	16	no	—
1160	C₂×C₄	—	26	16	no	—
1161	C₂×C₄	—	26	16	no	—
1162	C₂×C₄	—	26	8	no	—
1163	C₂×C₄	—	26	16	no	—
1164	C₂×C₄	—	26	4	no	—
1165	C₂×C₄	—	26	4	no	—
1166	C₂×C₄	—	26	4	no	—
1167	C₂×C₄	—	26	4	no	—
1168	C₂×C₄	—	26	4	no	—
1169	C₂×C₄	—	26	2	no	—
1170	C₂×C₄	—	52	8	no	—
1171	C₂×C₄	—	52	8	no	—
1172	C₂×C₄	—	52	8	no	—
1173	C₂×C₄	—	52	4	no	—
1174	C₂×C₄	—	52	8	no	—
1175	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1176	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1177	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1178	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1179	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1180	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1181	C₂²	—	2	16	no	—
1182	C₂²	—	2	4	no	—
1183	C₂²	—	2	4	no	—
1184	C₂²	—	2	4	no	—
1185	C₂²	—	2	4	no	—
1186	C₂²	—	2	2	no	—
1187	C₂²	—	2	2	no	—
1188	C₂²	—	4	16	no	—
1189	C₂²	—	4	4	no	—
1190	C₂²	—	4	4	no	—
1191	C₂²	—	13	16	no	—
1192	C₂²	—	13	8	no	—
1193	C₂²	—	13	4	no	—
1194	C₂²	—	13	8	no	—
1195	C₂²	—	26	64	no	—
1196	C₂²	—	26	16	no	—
1197	C₂²	—	26	4	no	—
1198	C₂²	—	26	4	no	—
1199	C₂²	—	26	4	no	—
1200	C₂²	—	26	4	no	—
1201	C₂²	—	26	2	no	—
1202	C₂²	—	26	2	no	—
1203	C₂²	—	52	32	no	—
1204	C₂²	—	52	16	no	—
1205	C₂²	—	52	16	no	—
1206	C₂²	—	52	16	no	—
1207	C₂²	—	52	4	no	—
1208	C₂²	—	52	4	no	—
1209	C₂²	C₂×#41×D₁₃	1	8	yes	—
1210	C₂²	C₂×#41×D₁₃	1	4	yes	—
1211	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1212	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1213	C₄	—	2	4	no	—
1214	C₄	—	2	4	no	—
1215	C₄	—	2	4	no	—
1216	C₄	—	2	4	no	—
1217	C₄	—	2	4	no	—
1218	C₄	—	2	2	no	—
1219	C₄	—	26	4	no	—
1220	C₄	—	26	4	no	—
1221	C₄	—	26	4	no	—
1222	C₄	—	26	4	no	—
1223	C₄	—	26	4	no	—
1224	C₄	—	26	2	no	—
1225	C₂	—	2	8	no	—
1226	C₂	—	4	2	no	—
1227	C₂	—	4	2	no	—
1228	C₂	—	13	8	no	—
1229	C₂	—	26	8	no	—
1230	C₂	—	52	2	no	—
1231	C₂	—	52	2	no	—
1232	C₂	D₁₃×#551	1	4	yes	direct product factor
1233	C₂	C₂²×#41×D₁₃	1	2	yes	—
1234	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#551	C₂
socle	C₂³×C₁₃	C₂⁵
prime radical	C₂×D₁₃×#120	C₂
hypercenter	C₂×#551	D₁₃
hypocenter	C₁₃	C₂²×#551
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#551

Complements

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

N	H ≅ G/N	type
1. C₂×#11719292	C₂	semidirect
2. C₂×#11719384	C₂	semidirect
3. C₂×#11719261	C₂	semidirect
4. C₂×#11719364	C₂	semidirect
5. C₂×#11719342	C₂	semidirect
6. C₂×#11719200	C₂	semidirect
7. C₂×#11719410	C₂	semidirect
8. C₂×#11719232	C₂	semidirect
9. C₂×#11719363	C₂	semidirect
10. D₁₃×#551	C₂	direct (N × H)
11. C₂×D₁₃×#126	C₂	semidirect
12. C₂×D₁₃×#124	C₂	semidirect
13. C₂×D₁₃×#123	C₂	semidirect
14. C₂×D₁₃×#123	C₂	semidirect
15. C₂×D₁₃×C₂²⋊Q₈	C₂	semidirect
17. C₂×C₄×D₄×D₁₃	C₂	semidirect
18. C₂×D₁₃×#117	C₂	semidirect
19. C₂²×C₂²⋊C₄×D₁₃	C₂	semidirect
20. C₂×C₁₃×#551	C₂	semidirect
22. C₂²×Q₈×D₁₃	C₂²	semidirect
27. C₂³×C₄×D₁₃	C₂²	semidirect
28. C₁₃×#551	C₂²	semidirect
29. C₂×C₁₃×#126	C₂²	semidirect
30. C₂×C₁₃×#124	C₂²	semidirect
31. C₂×C₁₃×#123	C₂²	semidirect
32. C₂×C₁₃×#123	C₂²	semidirect
33. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
35. C₂×C₄×D₄×C₁₃	C₂²	semidirect
36. C₂×C₁₃×#117	C₂²	semidirect
37. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
39. C₂²×C₂²⋊Dic₁₃	C₂²	semidirect
40. C₂×#88201	C₂²	semidirect
41. C₂×#88200	C₂²	semidirect
44. C₂×#88190	C₂²	semidirect
45. C₂×#88189	C₂²	semidirect
46. C₂×#88189	C₂²	semidirect
47. C₂×D₄×Dic₁₃	C₂²	semidirect
48. C₂×#88183	C₂²	semidirect
49. C₂×#88183	C₂²	semidirect
50. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
51. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
52. C₂²×#6103	C₂²	semidirect
53. C₂²×#6103	C₂²	semidirect
54. C₂×#88180	C₂²	semidirect
55. C₂×#88178	C₂²	semidirect
56. #11719410	C₂²	semidirect
57. D₁₃×#126	C₂²	semidirect
58. #11719384	C₂²	semidirect
59. D₁₃×#124	C₂²	semidirect
60. #11719364	C₂²	semidirect
61. #11719363	C₂²	semidirect
62. D₁₃×#123	C₂²	semidirect
63. D₁₃×#123	C₂²	semidirect
64. #11719342	C₂²	semidirect
65. D₁₃×C₂²⋊Q₈	C₂²	semidirect
67. #11719292	C₂²	semidirect
68. #11719261	C₂²	semidirect
69. C₄×D₄×D₁₃	C₂²	semidirect
70. #11719232	C₂²	semidirect
71. D₁₃×#117	C₂²	semidirect
72. C₂×#88152	C₂²	semidirect
73. C₂×#88152	C₂²	semidirect
74. C₂×#88152	C₂²	semidirect
75. C₂×#88151	C₂²	semidirect
76. C₂×#88150	C₂²	semidirect
77. C₂×#88150	C₂²	semidirect
78. C₂×#88148	C₂²	semidirect
79. C₂×#88148	C₂²	semidirect
80. C₂×#88148	C₂²	semidirect
81. C₂×#88147	C₂²	semidirect
82. C₂×#88146	C₂²	semidirect
83. C₂×#88146	C₂²	semidirect
84. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
85. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
86. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
87. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
88. #11719200	C₂²	semidirect
89. C₂×#88140	C₂²	semidirect
90. C₂×#88140	C₂²	semidirect
91. C₂×#88139	C₂²	semidirect
92. C₂×#88139	C₂²	semidirect
93. C₂×#88137	C₂²	semidirect
94. C₂×#88137	C₂²	semidirect
95. C₂×#88137	C₂²	semidirect
98. C₂×#88135	C₂²	semidirect
99. C₂×#88135	C₂²	semidirect
106. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
107. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
108. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
109. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
110. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
111. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
112. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
113. C₂×#88133	C₂²	semidirect
114. C₂×#88133	C₂²	semidirect
115. C₂×#88133	C₂²	semidirect
116. C₂×#88132	C₂²	semidirect
117. C₂×#88132	C₂²	semidirect
118. C₂×#88131	C₂²	semidirect
119. C₂×#88131	C₂²	semidirect
120. C₂×#88130	C₂²	semidirect
121. C₂×#88129	C₂²	semidirect
122. C₂×C₄×D₅₂	C₂²	semidirect
123. C₂×#88126	C₂²	semidirect
124. C₂×#88126	C₂²	semidirect
125. C₂×C₄²×D₁₃	C₂²	semidirect
126. C₂×C₄²×D₁₃	C₂²	semidirect
136. C₂²×Q₈×C₁₃	C₂³	semidirect
141. C₂³×C₄×C₁₃	C₂³	semidirect
148. C₂³×Dic₁₃	C₂³	semidirect
150. C₂×Q₈×D₁₃	C₂³	semidirect
172. C₂²×C₄×D₁₃	C₂³	semidirect
173. C₂²×C₄×D₁₃	C₂³	semidirect
174. C₂²×Dic₂₆	C₂³	semidirect
175. C₂²×Dic₂₆	C₂³	semidirect
176. C₁₃×#126	C₂³	semidirect
177. C₁₃×#124	C₂³	semidirect
178. C₁₃×#123	C₂³	semidirect
179. C₁₃×#123	C₂³	semidirect
180. C₁₃×C₂²⋊Q₈	C₂³	semidirect
182. C₄×D₄×C₁₃	C₂³	semidirect
183. C₁₃×#117	C₂³	semidirect
184. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
185. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
186. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
187. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
194. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
195. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
196. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
197. C₂×C₄²×C₁₃	C₂³	semidirect
198. C₂×C₄²×C₁₃	C₂³	semidirect
206. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
207. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
208. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
209. #88201	C₂³	semidirect
210. #88200	C₂³	semidirect
213. #88190	C₂³	semidirect
214. #88189	C₂³	semidirect
215. #88189	C₂³	semidirect
216. D₄×Dic₁₃	C₂³	semidirect
217. #88183	C₂³	semidirect
218. #88183	C₂³	semidirect
219. C₄×C₂²⋊D₁₃	C₂³	semidirect
220. C₄×C₂²⋊D₁₃	C₂³	semidirect
232. C₂×#6103	C₂³	semidirect
233. C₂×#6103	C₂³	semidirect
234. C₂×#6103	C₂³	semidirect
235. C₂×#6103	C₂³	semidirect
236. C₂×#6103	C₂³	semidirect
237. #88180	C₂³	semidirect
238. C₂×C₄⋊Dic₁₃	C₂³	semidirect
239. C₂×C₄⋊Dic₁₃	C₂³	semidirect
240. C₂×C₄⋊Dic₁₃	C₂³	semidirect
241. C₂×C₄⋊Dic₁₃	C₂³	semidirect
242. #88178	C₂³	semidirect
243. C₂×#6101	C₂³	semidirect
244. C₂×#6101	C₂³	semidirect
245. C₂×#6101	C₂³	semidirect
246. C₂×#6101	C₂³	semidirect
247. C₂×#6101	C₂³	semidirect
248. C₂×#6101	C₂³	semidirect
249. C₂×#6101	C₂³	semidirect
250. C₂×#6101	C₂³	semidirect
251. C₂×C₄×Dic₁₃	C₂³	semidirect
252. C₂×C₄×Dic₁₃	C₂³	semidirect
253. C₂×C₄×Dic₁₃	C₂³	semidirect
254. C₂×C₄×Dic₁₃	C₂³	semidirect
255. C₂×C₄×Dic₁₃	C₂³	semidirect
256. #88152	C₂³	semidirect
257. #88152	C₂³	semidirect
258. #88152	C₂³	semidirect
259. #88151	C₂³	semidirect
260. #88150	C₂³	semidirect
261. #88150	C₂³	semidirect
262. #88148	C₂³	semidirect
263. #88148	C₂³	semidirect
264. #88148	C₂³	semidirect
265. #88147	C₂³	semidirect
266. #88146	C₂³	semidirect
267. #88146	C₂³	semidirect
268. C₄⋊C₄×D₁₃	C₂³	semidirect
269. C₄⋊C₄×D₁₃	C₂³	semidirect
270. C₄⋊C₄×D₁₃	C₂³	semidirect
271. C₄⋊C₄×D₁₃	C₂³	semidirect
272. #88140	C₂³	semidirect
273. #88140	C₂³	semidirect
274. #88139	C₂³	semidirect
275. #88139	C₂³	semidirect
276. #88137	C₂³	semidirect
277. #88137	C₂³	semidirect
278. #88137	C₂³	semidirect
281. #88135	C₂³	semidirect
282. #88135	C₂³	semidirect
289. C₂²⋊C₄×D₁₃	C₂³	semidirect
290. C₂²⋊C₄×D₁₃	C₂³	semidirect
291. C₂²⋊C₄×D₁₃	C₂³	semidirect
292. C₂²⋊C₄×D₁₃	C₂³	semidirect
293. C₂²⋊C₄×D₁₃	C₂³	semidirect
294. C₂²⋊C₄×D₁₃	C₂³	semidirect
295. #88133	C₂³	semidirect
296. #88133	C₂³	semidirect
297. #88133	C₂³	semidirect
298. #88132	C₂³	semidirect
299. #88132	C₂³	semidirect
300. #88131	C₂³	semidirect
301. #88131	C₂³	semidirect
302. #88130	C₂³	semidirect
303. #88129	C₂³	semidirect
304. C₄×D₅₂	C₂³	semidirect
305. #88126	C₂³	semidirect
306. #88126	C₂³	semidirect
307. C₄²×D₁₃	C₂³	semidirect
308. C₄²×D₁₃	C₂³	semidirect
341. C₂×Q₈×C₁₃	C₂⁴	semidirect
357. C₂²×C₄×C₁₃	C₂⁴	semidirect
377. C₂²×Dic₁₃	C₂⁴	semidirect
409. C₂×C₄×D₁₃	C₂⁴	semidirect
412. C₂×Dic₂₆	C₂⁴	semidirect
413. C₂×Dic₂₆	C₂⁴	semidirect
414. C₁₃×C₄⋊C₄	C₂⁴	semidirect
415. C₁₃×C₄⋊C₄	C₂⁴	semidirect
416. C₁₃×C₄⋊C₄	C₂⁴	semidirect
417. C₁₃×C₄⋊C₄	C₂⁴	semidirect
424. C₁₃×C₂²⋊C₄	C₂⁴	semidirect
425. C₁₃×C₂²⋊C₄	C₂⁴	semidirect
426. C₄²×C₁₃	C₂⁴	semidirect
427. C₄²×C₁₃	C₂⁴	semidirect
434. C₂²⋊Dic₁₃	C₂⁴	semidirect
435. C₂²⋊Dic₁₃	C₂⁴	semidirect
447. #6103	C₂⁴	semidirect
448. #6103	C₂⁴	semidirect
449. #6103	C₂⁴	semidirect
450. C₄⋊Dic₁₃	C₂⁴	semidirect
451. C₄⋊Dic₁₃	C₂⁴	semidirect
452. C₄⋊Dic₁₃	C₂⁴	semidirect
453. C₄⋊Dic₁₃	C₂⁴	semidirect
454. #6101	C₂⁴	semidirect
455. #6101	C₂⁴	semidirect
456. #6101	C₂⁴	semidirect
457. #6101	C₂⁴	semidirect
458. #6101	C₂⁴	semidirect
459. #6101	C₂⁴	semidirect
460. #6101	C₂⁴	semidirect
461. #6101	C₂⁴	semidirect
462. C₄×Dic₁₃	C₂⁴	semidirect
463. C₄×Dic₁₃	C₂⁴	semidirect
464. C₄×Dic₁₃	C₂⁴	semidirect
465. C₄×Dic₁₃	C₂⁴	semidirect
466. C₄×Dic₁₃	C₂⁴	semidirect
477. C₂×#551	D₁₃	direct (N × H)
600. #551	C₂×D₁₃	direct (N × H)
609. C₂×#126	C₂×D₁₃	semidirect
616. C₂×#124	C₂×D₁₃	semidirect
631. C₂×#123	C₂×D₁₃	semidirect
632. C₂×#123	C₂×D₁₃	semidirect
641. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
657. C₂×C₄×D₄	C₂×D₁₃	semidirect
666. C₂×#117	C₂×D₁₃	semidirect
687. C₂²×C₂²⋊C₄	C₂×D₁₃	semidirect
718. C₂×D₁₃	#551	direct (N × H)
747. C₂²×Q₈	C₂²×D₁₃	semidirect
782. C₂³×C₄	C₂²×D₁₃	semidirect
790. #126	C₂²×D₁₃	semidirect
796. #124	C₂²×D₁₃	semidirect
809. #123	C₂²×D₁₃	semidirect
810. #123	C₂²×D₁₃	semidirect
818. C₂²⋊Q₈	C₂²×D₁₃	semidirect
832. C₄×D₄	C₂²×D₁₃	semidirect
840. #117	C₂²×D₁₃	semidirect
857. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
858. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
859. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
860. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
904. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
905. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
906. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
914. C₂×C₄²	C₂²×D₁₃	semidirect
915. C₂×C₄²	C₂²×D₁₃	semidirect
919. C₂×C₁₃	C₂×#551	semidirect
925. D₁₃	C₂×#551	direct (N × H)
962. C₂×Q₈	C₂³×D₁₃	semidirect
1029. C₂²×C₄	C₂³×D₁₃	semidirect
1042. C₄⋊C₄	C₂³×D₁₃	semidirect
1043. C₄⋊C₄	C₂³×D₁₃	semidirect
1044. C₄⋊C₄	C₂³×D₁₃	semidirect
1045. C₄⋊C₄	C₂³×D₁₃	semidirect
1074. C₂²⋊C₄	C₂³×D₁₃	semidirect
1075. C₂²⋊C₄	C₂³×D₁₃	semidirect
1081. C₄²	C₂³×D₁₃	semidirect
1082. C₄²	C₂³×D₁₃	semidirect
1083. C₁₃	C₂²×#551	semidirect
1232. C₂	D₁₃×#551	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#11719292	2
C₂×#11719384	2
C₂×#11719261	2
C₂×#11719364	2
C₂×#11719342	2
C₂×#11719200	2
C₂×#11719410	2
C₂×#11719232	2
C₂×#11719363	2
D₁₃×#551	2
C₂×D₁₃×#126	2
C₂×D₁₃×#124	2
C₂×D₁₃×#123	2
C₂×D₁₃×C₂²⋊Q₈	2
C₂×D₁₃×#120	2
C₂×C₄×D₄×D₁₃	2
C₂×D₁₃×#117	2
C₂²×C₂²⋊C₄×D₁₃	2
C₂×C₁₃×#551	2
C₂²×#551	13

Subgroups — C2×D13×#551 #16769893

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₁₃×#551 #16769893