Subgroups — C₂×D₁₃×#529 #16769592

Order 3328.

8670 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719285	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#11719329	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719396	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719184	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719411	C₂	1	2	yes	maximal, complemented
6	C₂×#11719262	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719305	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719243	C₂	1	2	yes	maximal, complemented
9	C₂×#11719385	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719233	C₂	1	2	yes	maximal, complemented
11	C₂×#11719354	C₂	1	2	yes	maximal, complemented
12	D₁₃×#529	C₂	1	32	yes	maximal, direct product factor
13	C₂×D₁₃×#126	C₂	1	2	yes	maximal, complemented
14	C₂×D₁₃×#125	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×D₁₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×D₁₃×#123	C₂	1	2	yes	maximal, complemented
17	C₂×D₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×D₁₃×#121	C₂	1	1	yes	maximal, characteristic
19	C₂×C₄×Q₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×C₄×D₄×D₁₃	C₂	1	2	yes	maximal, complemented
22	C₂×D₁₃×#117	C₂	1	2	yes	maximal, complemented
23	C₂²×C₄²×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
26	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
27	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
28	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
29	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
30	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
31	C₂³×C₄×D₁₃	C₂²	1	2	yes	—
32	C₁₃×#529	C₂²	1	16	yes	complemented
33	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
34	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
37	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
39	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×#117	C₂²	1	2	yes	complemented
43	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
46	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88193	C₂²	1	2	yes	—
48	C₂×#88192	C₂²	1	1	yes	characteristic
49	C₂×#88190	C₂²	1	1	yes	characteristic, complemented
50	C₂×#88189	C₂²	1	2	yes	complemented
51	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
52	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88184	C₂²	1	1	yes	characteristic
54	C₂×#88183	C₂²	1	2	yes	complemented
55	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
56	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
57	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
58	C₂×#88180	C₂²	1	2	yes	complemented
59	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
60	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
61	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
62	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
63	#11719411	C₂²	1	32	yes	complemented
64	D₁₃×#126	C₂²	1	32	yes	complemented
65	#11719396	C₂²	1	16	yes	complemented
66	D₁₃×#125	C₂²	1	16	yes	complemented
67	#11719385	C₂²	1	16	yes	complemented
68	D₁₃×#124	C₂²	1	16	yes	complemented
69	D₁₃×#123	C₂²	1	32	yes	complemented
70	#11719354	C₂²	1	32	yes	complemented
71	D₁₃×C₂²⋊Q₈	C₂²	1	16	yes	complemented
72	#11719329	C₂²	1	16	yes	complemented
73	D₁₃×#121	C₂²	1	16	yes	—
74	#11719305	C₂²	1	16	yes	complemented
75	#11719285	C₂²	1	16	yes	complemented
76	C₄×Q₈×D₁₃	C₂²	1	16	yes	complemented
77	#11719262	C₂²	1	16	yes	complemented
78	C₄×D₄×D₁₃	C₂²	1	16	yes	complemented
79	C₄×D₄×D₁₃	C₂²	1	32	yes	complemented
80	#11719243	C₂²	1	32	yes	complemented
81	#11719233	C₂²	1	32	yes	complemented
82	D₁₃×#117	C₂²	1	32	yes	complemented
83	C₂×#88152	C₂²	1	2	yes	complemented
84	C₂×#88152	C₂²	1	2	yes	complemented
85	C₂×#88152	C₂²	1	2	yes	complemented
86	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
87	C₂×#88150	C₂²	1	2	yes	complemented
88	C₂×#88149	C₂²	1	1	yes	characteristic
89	C₂×#88148	C₂²	1	2	yes	complemented
90	C₂×#88148	C₂²	1	2	yes	complemented
91	C₂×#88147	C₂²	1	2	yes	complemented
92	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
93	C₂×#88146	C₂²	1	2	yes	complemented
94	C₂×#88146	C₂²	1	2	yes	complemented
95	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
96	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
97	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
98	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
99	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
100	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
101	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
102	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
103	C₂×#88143	C₂²	1	2	yes	complemented
104	C₂×#88143	C₂²	1	2	yes	complemented
105	C₂×#88141	C₂²	1	2	yes	complemented
106	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
107	C₂×#88140	C₂²	1	2	yes	complemented
108	C₂×#88139	C₂²	1	2	yes	complemented
109	C₂×#88139	C₂²	1	2	yes	complemented
110	C₂×#88138	C₂²	1	2	yes	—
111	C₂×#88137	C₂²	1	2	yes	complemented
112	C₂×#88137	C₂²	1	2	yes	complemented
113	C₂×#88135	C₂²	1	2	yes	complemented
114	C₂×#88135	C₂²	1	2	yes	complemented
115	C₂×#88135	C₂²	1	2	yes	complemented
116	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
117	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
118	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
119	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
120	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
121	C₂×#88133	C₂²	1	2	yes	complemented
122	C₂×#88133	C₂²	1	2	yes	complemented
123	C₂×#88133	C₂²	1	2	yes	complemented
124	C₂×#88132	C₂²	1	2	yes	complemented
125	C₂×#88131	C₂²	1	2	yes	complemented
126	C₂×#88131	C₂²	1	2	yes	complemented
127	#11719184	C₂²	1	16	yes	complemented
128	C₂×#88130	C₂²	1	2	yes	complemented
129	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
131	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
132	C₂×#88126	C₂²	1	2	yes	complemented
133	C₂×#88126	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
135	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
136	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
137	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
138	C₂×C₄²×D₁₃	C₂²	1	2	yes	—
139	C₂×C₄²×D₁₃	C₂²	1	16	yes	complemented
140	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
144	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₂₆	C₂²	1	2	yes	complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
149	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
151	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
159	C₂³×Dic₁₃	C₂³	1	2	yes	—
160	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
161	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
162	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
163	C₂×Q₈×D₁₃	—	2	8	no	—
164	C₂×Q₈×D₁₃	C₂³	1	8	yes	—
165	C₂×D₄×D₁₃	—	2	16	no	—
166	C₂×D₄×D₁₃	—	2	8	no	—
167	C₂×D₄×D₁₃	C₂³	1	16	yes	—
168	C₂×D₄×D₁₃	C₂³	1	8	yes	—
169	C₂²×D₅₂	C₂³	1	1	yes	characteristic
170	C₂²×D₅₂	C₂³	1	2	yes	—
171	C₂²×C₄×D₁₃	—	2	8	no	—
172	C₂²×C₄×D₁₃	—	2	8	no	—
173	C₂²×C₄×D₁₃	—	2	16	no	—
174	C₂²×C₄×D₁₃	—	2	8	no	—
175	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
176	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
178	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
180	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
181	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
183	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
184	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
186	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
187	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
188	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
189	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
190	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
191	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
192	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
193	C₂²×C₄×D₁₃	C₂³	1	16	yes	—
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
197	C₂²×Dic₂₆	C₂³	1	2	yes	—
198	C₁₃×#126	C₂³	1	16	yes	complemented
199	C₁₃×#125	C₂³	1	8	yes	complemented
200	C₁₃×#124	C₂³	1	8	yes	complemented
201	C₁₃×#123	C₂³	1	16	yes	complemented
202	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
203	C₁₃×#121	C₂³	1	8	yes	—
204	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
205	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
206	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
207	C₁₃×#117	C₂³	1	16	yes	complemented
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
210	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
212	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
214	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
215	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
216	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
221	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃	C₂³	1	8	yes	complemented
225	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
226	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
227	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
228	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
229	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
230	#88201	C₂³	1	8	yes	complemented
231	#88200	C₂³	1	8	yes	complemented
232	Q₈×Dic₁₃	C₂³	1	8	yes	complemented
233	#88193	C₂³	1	16	yes	—
234	#88192	C₂³	1	8	yes	—
235	#88190	C₂³	1	8	yes	complemented
236	#88189	C₂³	1	16	yes	complemented
237	D₄×Dic₁₃	C₂³	1	16	yes	complemented
238	D₄×Dic₁₃	C₂³	1	8	yes	complemented
239	#88184	C₂³	1	8	yes	—
240	#88183	C₂³	1	16	yes	complemented
241	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
242	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
243	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
244	C₂×#6103	C₂³	1	2	yes	—
245	C₂×#6103	C₂³	1	2	yes	—
246	C₂×#6103	C₂³	1	2	yes	—
247	C₂×#6103	C₂³	1	2	yes	—
248	C₂×#6103	C₂³	1	2	yes	—
249	C₂×#6103	C₂³	1	2	yes	—
250	C₂×#6103	C₂³	1	2	yes	—
251	C₂×#6103	C₂³	1	2	yes	—
252	C₂×#6103	C₂³	1	2	yes	—
253	C₂×#6103	C₂³	1	2	yes	—
254	#88180	C₂³	1	16	yes	complemented
255	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
257	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
259	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
260	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
261	#88178	C₂³	1	8	yes	complemented
262	C₂×#6101	C₂³	1	2	yes	—
263	C₂×#6101	C₂³	1	2	yes	—
264	C₂×#6101	C₂³	1	2	yes	—
265	C₂×#6101	C₂³	1	2	yes	—
266	C₂×#6101	C₂³	1	2	yes	—
267	C₂×#6101	C₂³	1	2	yes	—
268	C₂×#6101	C₂³	1	2	yes	—
269	C₂×#6101	C₂³	1	2	yes	—
270	C₂×#6101	C₂³	1	2	yes	—
271	C₂×#6101	C₂³	1	2	yes	—
272	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
274	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
286	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
287	C₂×C₄×Dic₁₃	C₂³	1	8	yes	complemented
288	C₂×C₄×Dic₁₃	C₂³	1	8	yes	complemented
289	C₂×C₄×Dic₁₃	C₂³	1	8	yes	complemented
290	#88152	C₂³	1	16	yes	complemented
291	#88152	C₂³	1	16	yes	complemented
292	#88152	C₂³	1	16	yes	complemented
293	#88151	C₂³	1	8	yes	complemented
294	#88150	C₂³	1	16	yes	complemented
295	#88149	C₂³	1	8	yes	—
296	#88148	C₂³	1	16	yes	complemented
297	#88148	C₂³	1	16	yes	complemented
298	#88147	C₂³	1	8	yes	complemented
299	#88147	C₂³	1	16	yes	complemented
300	#88146	C₂³	1	16	yes	complemented
301	#88146	C₂³	1	16	yes	complemented
302	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
303	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
304	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
305	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
306	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
307	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
308	#88144	C₂³	1	8	yes	complemented
309	#88144	C₂³	1	8	yes	complemented
310	#88143	C₂³	1	16	yes	complemented
311	#88143	C₂³	1	16	yes	complemented
312	#88141	C₂³	1	8	yes	complemented
313	#88141	C₂³	1	16	yes	complemented
314	#88140	C₂³	1	16	yes	complemented
315	#88139	C₂³	1	16	yes	complemented
316	#88139	C₂³	1	16	yes	complemented
317	#88138	C₂³	1	16	yes	—
318	#88137	C₂³	1	16	yes	complemented
319	#88137	C₂³	1	16	yes	complemented
320	#88135	C₂³	1	16	yes	complemented
321	#88135	C₂³	1	16	yes	complemented
322	#88135	C₂³	1	16	yes	complemented
323	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
324	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
325	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
326	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
327	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
328	#88133	C₂³	1	16	yes	complemented
329	#88133	C₂³	1	16	yes	complemented
330	#88133	C₂³	1	16	yes	complemented
331	#88132	C₂³	1	16	yes	complemented
332	#88131	C₂³	1	16	yes	complemented
333	#88131	C₂³	1	16	yes	complemented
334	#88130	C₂³	1	16	yes	complemented
335	#88129	C₂³	1	8	yes	complemented
336	C₄×D₅₂	C₂³	1	8	yes	complemented
337	C₄×D₅₂	C₂³	1	16	yes	complemented
338	#88126	C₂³	1	16	yes	complemented
339	#88126	C₂³	1	16	yes	complemented
340	C₄²×D₁₃	C₂³	1	8	yes	—
341	C₄²×D₁₃	C₂³	1	8	yes	—
342	C₄²×D₁₃	C₂³	1	8	yes	—
343	C₄²×D₁₃	C₂³	1	8	yes	—
344	C₄²×D₁₃	C₂³	1	16	yes	—
345	C₄²×D₁₃	C₂³	1	8	yes	complemented
346	C₄²×D₁₃	C₂³	1	8	yes	complemented
347	C₄²×D₁₃	C₂³	1	8	yes	complemented
348	C₄²×D₁₃	C₂³	1	8	yes	complemented
349	#88124	C₂³	1	8	yes	complemented
350	C₄×Dic₂₆	C₂³	1	8	yes	complemented
351	C₄×Dic₂₆	C₂³	1	16	yes	complemented
352	C₂²×#529	—	13	1	no	maximal, Sylow
353	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
354	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂³×D₁₃	—	2	4	no	—
356	C₂³×D₁₃	—	2	4	no	—
357	C₂³×D₁₃	—	2	8	no	—
358	C₂³×D₁₃	—	2	8	no	—
359	C₂³×D₁₃	—	2	8	no	—
360	C₂³×D₁₃	#41	1	8	yes	—
361	C₂³×D₁₃	C₂⁴	1	8	yes	—
362	C₂³×D₁₃	C₂⁴	1	2	yes	—
363	C₂³×D₁₃	C₂⁴	1	4	yes	—
364	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
365	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
366	C₂×Q₈×C₁₃	—	2	4	no	—
367	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
368	C₂×D₄×C₁₃	—	2	8	no	—
369	C₂×D₄×C₁₃	—	2	4	no	—
370	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
371	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
372	C₂²×C₄×C₁₃	—	2	4	no	—
373	C₂²×C₄×C₁₃	—	2	4	no	—
374	C₂²×C₄×C₁₃	—	2	4	no	—
375	C₂²×C₄×C₁₃	—	2	8	no	—
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
381	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
382	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
383	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
384	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
385	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
386	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂×C₂²⋊D₁₃	—	2	8	no	—
390	C₂×C₂²⋊D₁₃	—	2	8	no	—
391	C₂×C₂²⋊D₁₃	—	2	8	no	—
392	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
393	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
394	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
395	C₂²×Dic₁₃	—	2	4	no	—
396	C₂²×Dic₁₃	—	2	4	no	—
397	C₂²×Dic₁₃	—	2	4	no	—
398	C₂²×Dic₁₃	—	2	8	no	—
399	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
400	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
401	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
402	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
403	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
408	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
409	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
410	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
412	Q₈×D₁₃	—	2	32	no	—
413	D₄×D₁₃	—	2	64	no	—
414	D₄×D₁₃	—	2	32	no	—
415	C₂×D₅₂	—	2	8	no	—
416	C₂×D₅₂	—	2	4	no	—
417	C₂×D₅₂	C₂⁴	1	4	yes	—
418	C₂×D₅₂	C₂⁴	1	8	yes	—
419	C₂×C₄×D₁₃	—	2	4	no	—
420	C₂×C₄×D₁₃	—	2	4	no	—
421	C₂×C₄×D₁₃	—	2	32	no	—
422	C₂×C₄×D₁₃	—	2	4	no	—
423	C₂×C₄×D₁₃	—	2	4	no	—
424	C₂×C₄×D₁₃	—	2	4	no	—
425	C₂×C₄×D₁₃	—	2	4	no	—
426	C₂×C₄×D₁₃	—	2	8	no	—
427	C₂×C₄×D₁₃	—	2	8	no	—
428	C₂×C₄×D₁₃	—	2	8	no	—
429	C₂×C₄×D₁₃	—	2	4	no	—
430	C₂×C₄×D₁₃	—	2	4	no	—
431	C₂×C₄×D₁₃	—	2	8	no	—
432	C₂×C₄×D₁₃	—	2	4	no	—
433	C₂×C₄×D₁₃	—	2	4	no	—
434	C₂×C₄×D₁₃	—	2	8	no	—
435	C₂×C₄×D₁₃	—	2	32	no	—
436	C₂×C₄×D₁₃	—	2	64	no	—
437	C₂×C₄×D₁₃	—	2	32	no	—
438	C₂×C₄×D₁₃	#41	1	8	yes	—
439	C₂×C₄×D₁₃	#41	1	8	yes	—
440	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
441	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
442	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
443	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
444	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
445	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
446	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
447	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
448	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
449	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
450	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
451	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
452	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
453	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
454	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
455	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
456	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
457	C₂×Dic₂₆	—	2	4	no	—
458	C₂×Dic₂₆	—	2	8	no	—
459	C₂×Dic₂₆	C₂⁴	1	4	yes	—
460	C₂×Dic₂₆	C₂⁴	1	8	yes	—
461	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
462	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
463	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
464	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
465	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
466	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
467	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
468	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
469	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
470	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
471	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
472	C₄²×C₁₃	C₂⁴	1	4	yes	—
473	C₄²×C₁₃	C₂⁴	1	8	yes	—
474	C₄²×C₁₃	C₂⁴	1	4	yes	—
475	C₄²×C₁₃	C₂⁴	1	4	yes	—
476	C₄²×C₁₃	C₂⁴	1	4	yes	—
477	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
478	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
479	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
480	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
481	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
482	#6103	C₂⁴	1	8	yes	—
483	#6103	C₂⁴	1	8	yes	—
484	#6103	C₂⁴	1	8	yes	—
485	#6103	C₂⁴	1	8	yes	—
486	#6103	C₂⁴	1	8	yes	—
487	#6103	C₂⁴	1	8	yes	—
488	#6103	C₂⁴	1	8	yes	—
489	#6103	C₂⁴	1	8	yes	—
490	#6103	C₂⁴	1	8	yes	—
491	#6103	C₂⁴	1	8	yes	—
492	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
493	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
494	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
495	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
496	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
497	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
498	#6101	C₂⁴	1	8	yes	—
499	#6101	C₂⁴	1	8	yes	—
500	#6101	C₂⁴	1	8	yes	—
501	#6101	C₂⁴	1	8	yes	—
502	#6101	C₂⁴	1	8	yes	—
503	#6101	C₂⁴	1	8	yes	—
504	#6101	C₂⁴	1	8	yes	—
505	#6101	C₂⁴	1	8	yes	—
506	#6101	C₂⁴	1	8	yes	—
507	#6101	C₂⁴	1	8	yes	—
508	C₄×Dic₁₃	C₂⁴	1	4	yes	—
509	C₄×Dic₁₃	C₂⁴	1	8	yes	—
510	C₄×Dic₁₃	C₂⁴	1	4	yes	—
511	C₄×Dic₁₃	C₂⁴	1	4	yes	—
512	C₄×Dic₁₃	C₂⁴	1	4	yes	—
513	C₄×Dic₁₃	C₂⁴	1	4	yes	—
514	C₄×Dic₁₃	C₂⁴	1	4	yes	—
515	C₄×Dic₁₃	C₂⁴	1	4	yes	—
516	C₄×Dic₁₃	C₂⁴	1	4	yes	—
517	C₄×Dic₁₃	C₂⁴	1	4	yes	—
518	C₄×Dic₁₃	C₂⁴	1	4	yes	—
519	C₄×Dic₁₃	C₂⁴	1	4	yes	—
520	C₄×Dic₁₃	C₂⁴	1	4	yes	—
521	C₄×Dic₁₃	C₂⁴	1	8	yes	—
522	C₄×Dic₁₃	C₂⁴	1	8	yes	—
523	C₂×#529	—	13	1	no	—
524	C₂×#529	—	13	32	no	—
525	C₂×#529	—	13	2	no	—
526	C₂×#529	—	13	1	no	—
527	C₂×#529	—	13	1	no	—
528	C₂×#529	—	13	2	no	—
529	C₂×#529	—	13	1	no	—
530	C₂×#529	—	13	1	no	—
531	C₂×#529	—	13	1	no	—
532	C₂×#529	—	13	2	no	—
533	C₂×#529	—	13	1	no	—
534	C₂×#529	—	13	2	no	—
535	C₂×#529	D₁₃	1	1	yes	characteristic, direct product factor
536	C₂²×#126	—	13	2	no	—
537	C₂²×#125	—	13	1	no	—
538	C₂²×#124	—	13	1	no	—
539	C₂²×#123	—	13	2	no	—
540	C₂²×C₂²⋊Q₈	—	13	1	no	—
541	C₂²×#121	—	13	1	no	—
542	C₂²×C₄×Q₈	—	13	1	no	—
543	C₂²×C₄×D₄	—	13	2	no	—
544	C₂²×C₄×D₄	—	13	1	no	—
545	C₂²×#117	—	13	2	no	—
546	C₂³×C₄²	—	13	1	no	—
547	C₂³×C₁₃	—	2	2	no	—
548	C₂³×C₁₃	—	2	2	no	—
549	C₂³×C₁₃	—	2	4	no	—
550	C₂³×C₁₃	—	2	4	no	—
551	C₂³×C₁₃	—	2	4	no	—
552	C₂³×C₁₃	C₂×#41	1	4	yes	—
553	C₂³×C₁₃	C₂⁵	1	4	yes	—
554	C₂³×C₁₃	C₂⁵	1	2	yes	—
555	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
556	C₂²×D₁₃	—	2	2	no	—
557	C₂²×D₁₃	—	2	2	no	—
558	C₂²×D₁₃	—	2	32	no	—
559	C₂²×D₁₃	—	2	8	no	—
560	C₂²×D₁₃	—	2	8	no	—
561	C₂²×D₁₃	—	2	4	no	—
562	C₂²×D₁₃	—	2	4	no	—
563	C₂²×D₁₃	—	2	4	no	—
564	C₂²×D₁₃	—	2	16	no	—
565	C₂²×D₁₃	—	2	16	no	—
566	C₂²×D₁₃	—	2	16	no	—
567	C₂²×D₁₃	—	4	32	no	—
568	C₂²×D₁₃	C₂×#41	1	4	yes	—
569	C₂²×D₁₃	C₂×#41	1	16	yes	—
570	C₂²×D₁₃	C₂×#41	1	4	yes	—
571	C₂²×D₁₃	C₂×#41	1	4	yes	—
572	C₂²×D₁₃	C₂×#41	1	4	yes	—
573	C₂²×D₁₃	C₂⁵	1	4	yes	—
574	C₂²×D₁₃	C₂⁵	1	2	yes	—
575	C₂²×D₁₃	C₂⁵	1	2	yes	—
576	Q₈×C₁₃	—	2	8	no	—
577	D₄×C₁₃	—	2	16	no	—
578	D₄×C₁₃	—	2	8	no	—
579	C₂×C₄×C₁₃	—	2	4	no	—
580	C₂×C₄×C₁₃	—	2	8	no	—
581	C₂×C₄×C₁₃	—	2	2	no	—
582	C₂×C₄×C₁₃	—	2	2	no	—
583	C₂×C₄×C₁₃	—	2	2	no	—
584	C₂×C₄×C₁₃	—	2	2	no	—
585	C₂×C₄×C₁₃	—	2	4	no	—
586	C₂×C₄×C₁₃	—	2	4	no	—
587	C₂×C₄×C₁₃	—	2	8	no	—
588	C₂×C₄×C₁₃	—	2	8	no	—
589	C₂×C₄×C₁₃	—	2	16	no	—
590	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
591	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
592	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
593	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
594	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
595	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
596	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
597	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
598	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
599	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
600	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
601	C₂²⋊D₁₃	—	2	16	no	—
602	C₂²⋊D₁₃	—	2	16	no	—
603	C₂²⋊D₁₃	—	2	16	no	—
604	C₂×Dic₁₃	—	2	4	no	—
605	C₂×Dic₁₃	—	2	8	no	—
606	C₂×Dic₁₃	—	2	2	no	—
607	C₂×Dic₁₃	—	2	2	no	—
608	C₂×Dic₁₃	—	2	2	no	—
609	C₂×Dic₁₃	—	2	2	no	—
610	C₂×Dic₁₃	—	2	4	no	—
611	C₂×Dic₁₃	—	2	4	no	—
612	C₂×Dic₁₃	—	2	8	no	—
613	C₂×Dic₁₃	—	2	8	no	—
614	C₂×Dic₁₃	—	2	16	no	—
615	C₂×Dic₁₃	C₂×#41	1	4	yes	—
616	C₂×Dic₁₃	C₂×#41	1	4	yes	—
617	C₂×Dic₁₃	C₂⁵	1	2	yes	—
618	C₂×Dic₁₃	C₂⁵	1	2	yes	—
619	C₂×Dic₁₃	C₂⁵	1	2	yes	—
620	C₂×Dic₁₃	C₂⁵	1	2	yes	—
621	C₂×Dic₁₃	C₂⁵	1	4	yes	—
622	C₂×Dic₁₃	C₂⁵	1	4	yes	—
623	C₂×Dic₁₃	C₂⁵	1	4	yes	—
624	C₂×Dic₁₃	C₂⁵	1	2	yes	—
625	C₂×Dic₁₃	C₂⁵	1	2	yes	—
626	D₅₂	—	2	16	no	—
627	D₅₂	—	2	8	no	—
628	C₄×D₁₃	—	2	8	no	—
629	C₄×D₁₃	—	2	8	no	—
630	C₄×D₁₃	—	2	8	no	—
631	C₄×D₁₃	—	2	8	no	—
632	C₄×D₁₃	—	2	8	no	—
633	C₄×D₁₃	—	2	8	no	—
634	C₄×D₁₃	—	2	16	no	—
635	C₄×D₁₃	—	2	16	no	—
636	C₄×D₁₃	—	2	16	no	—
637	C₄×D₁₃	—	2	8	no	—
638	C₄×D₁₃	—	2	8	no	—
639	C₄×D₁₃	—	2	16	no	—
640	C₄×D₁₃	—	2	8	no	—
641	C₄×D₁₃	—	2	8	no	—
642	C₄×D₁₃	—	2	16	no	—
643	C₄×D₁₃	C₂×#41	1	16	yes	—
644	C₄×D₁₃	C₂×#41	1	16	yes	—
645	Dic₂₆	—	2	8	no	—
646	Dic₂₆	—	2	16	no	—
647	C₂³×Q₈	—	13	1	no	—
648	C₂³×D₄	—	13	2	no	—
649	C₂³×D₄	—	13	1	no	—
650	C₂⁴×C₄	—	13	1	no	—
651	C₂⁴×C₄	—	13	1	no	—
652	C₂⁴×C₄	—	13	1	no	—
653	C₂⁴×C₄	—	13	2	no	—
654	#529	—	13	32	no	—
655	#529	—	13	16	no	—
656	#529	—	13	16	no	—
657	#529	—	13	32	no	—
658	#529	—	13	16	no	—
659	#529	—	13	16	no	—
660	#529	—	13	16	no	—
661	#529	—	13	32	no	—
662	#529	—	13	16	no	—
663	#529	—	13	32	no	—
664	#529	—	13	16	no	—
665	#529	C₂×D₁₃	1	16	yes	direct product factor
666	C₂×#126	—	13	32	no	—
667	C₂×#126	—	13	2	no	—
668	C₂×#126	—	13	2	no	—
669	C₂×#126	—	13	2	no	—
670	C₂×#126	—	13	2	no	—
671	C₂×#126	—	13	2	no	—
672	C₂×#126	—	13	2	no	—
673	C₂×#126	—	13	2	no	—
674	C₂×#126	C₂×D₁₃	1	2	yes	complemented
675	C₂×#125	—	13	16	no	—
676	C₂×#125	—	13	2	no	—
677	C₂×#125	—	13	2	no	—
678	C₂×#125	—	13	1	no	—
679	C₂×#125	—	13	1	no	—
680	C₂×#125	—	13	1	no	—
681	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
682	C₂×#124	—	13	1	no	—
683	C₂×#124	—	13	1	no	—
684	C₂×#124	—	13	16	no	—
685	C₂×#124	—	13	2	no	—
686	C₂×#124	—	13	2	no	—
687	C₂×#124	—	13	1	no	—
688	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
689	C₂×#123	—	13	2	no	—
690	C₂×#123	—	13	2	no	—
691	C₂×#123	—	13	32	no	—
692	C₂×#123	—	13	2	no	—
693	C₂×#123	—	13	2	no	—
694	C₂×#123	—	13	2	no	—
695	C₂×#123	—	13	2	no	—
696	C₂×#123	—	13	2	no	—
697	C₂×#123	C₂×D₁₃	1	2	yes	complemented
698	C₂×C₂²⋊Q₈	—	13	1	no	—
699	C₂×C₂²⋊Q₈	—	13	1	no	—
700	C₂×C₂²⋊Q₈	—	13	16	no	—
701	C₂×C₂²⋊Q₈	—	13	2	no	—
702	C₂×C₂²⋊Q₈	—	13	1	no	—
703	C₂×C₂²⋊Q₈	—	13	2	no	—
704	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
705	C₂×#121	—	13	1	no	—
706	C₂×#121	—	13	2	no	—
707	C₂×#121	—	13	1	no	—
708	C₂×#121	—	13	16	no	—
709	C₂×#121	—	13	1	no	—
710	C₂×#121	—	13	2	no	—
711	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
712	C₂×C₄×Q₈	—	13	1	no	—
713	C₂×C₄×Q₈	—	13	16	no	—
714	C₂×C₄×Q₈	—	13	2	no	—
715	C₂×C₄×Q₈	—	13	1	no	—
716	C₂×C₄×Q₈	—	13	1	no	—
717	C₂×C₄×Q₈	—	13	2	no	—
718	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
719	C₂×C₄×D₄	—	13	2	no	—
720	C₂×C₄×D₄	—	13	1	no	—
721	C₂×C₄×D₄	—	13	2	no	—
722	C₂×C₄×D₄	—	13	2	no	—
723	C₂×C₄×D₄	—	13	2	no	—
724	C₂×C₄×D₄	—	13	32	no	—
725	C₂×C₄×D₄	—	13	16	no	—
726	C₂×C₄×D₄	—	13	2	no	—
727	C₂×C₄×D₄	—	13	1	no	—
728	C₂×C₄×D₄	—	13	2	no	—
729	C₂×C₄×D₄	—	13	2	no	—
730	C₂×C₄×D₄	—	13	2	no	—
731	C₂×C₄×D₄	—	13	2	no	—
732	C₂×C₄×D₄	—	13	1	no	—
733	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
734	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
735	C₂×#117	—	13	2	no	—
736	C₂×#117	—	13	32	no	—
737	C₂×#117	—	13	2	no	—
738	C₂×#117	—	13	2	no	—
739	C₂×#117	—	13	2	no	—
740	C₂×#117	—	13	2	no	—
741	C₂×#117	—	13	2	no	—
742	C₂×#117	—	13	2	no	—
743	C₂×#117	C₂×D₁₃	1	2	yes	complemented
744	C₂²×C₄⋊C₄	—	13	2	no	—
745	C₂²×C₄⋊C₄	—	13	2	no	—
746	C₂²×C₄⋊C₄	—	13	1	no	—
747	C₂²×C₄⋊C₄	—	13	2	no	—
748	C₂²×C₄⋊C₄	—	13	1	no	—
749	C₂²×C₄⋊C₄	—	13	2	no	—
750	C₂²×C₂²⋊C₄	—	13	2	no	—
751	C₂²×C₂²⋊C₄	—	13	2	no	—
752	C₂²×C₂²⋊C₄	—	13	2	no	—
753	C₂²×C₂²⋊C₄	—	13	2	no	—
754	C₂²×C₂²⋊C₄	—	13	2	no	—
755	C₂²×C₄²	—	13	1	no	—
756	C₂²×C₄²	—	13	1	no	—
757	C₂²×C₄²	—	13	1	no	—
758	C₂²×C₄²	—	13	1	no	—
759	C₂²×C₄²	—	13	1	no	—
760	C₂²×C₄²	—	13	1	no	—
761	C₂²×C₄²	—	13	1	no	—
762	C₂²×C₄²	—	13	2	no	—
763	C₂²×C₄²	—	13	1	no	—
764	C₂²×C₄²	—	13	1	no	—
765	C₂²×C₄²	—	13	1	no	—
766	C₂²×C₄²	—	13	1	no	—
767	C₂²×C₄²	—	13	16	no	—
768	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
769	C₂²×C₁₃	—	2	2	no	—
770	C₂²×C₁₃	—	2	2	no	—
771	C₂²×C₁₃	—	2	8	no	—
772	C₂²×C₁₃	—	2	4	no	—
773	C₂²×C₁₃	—	2	4	no	—
774	C₂²×C₁₃	—	2	4	no	—
775	C₂²×C₁₃	—	4	8	no	—
776	C₂²×C₁₃	C₂²×#41	1	4	yes	—
777	C₂²×C₁₃	C₂²×#41	1	2	yes	—
778	C₂²×C₁₃	C₂²×#41	1	2	yes	—
779	C₂²×C₁₃	C₂²×#41	1	2	yes	—
780	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
781	C₂×D₁₃	—	2	2	no	—
782	C₂×D₁₃	—	2	2	no	—
783	C₂×D₁₃	—	2	8	no	—
784	C₂×D₁₃	—	2	32	no	—
785	C₂×D₁₃	—	2	4	no	—
786	C₂×D₁₃	—	2	4	no	—
787	C₂×D₁₃	—	2	4	no	—
788	C₂×D₁₃	—	4	8	no	—
789	C₂×D₁₃	—	4	32	no	—
790	C₂×D₁₃	#529	1	16	yes	direct product factor
791	C₂×D₁₃	C₂²×#41	1	4	yes	—
792	C₂×D₁₃	C₂²×#41	1	4	yes	—
793	C₂×D₁₃	C₂²×#41	1	4	yes	—
794	C₂×D₁₃	C₂²×#41	1	4	yes	—
795	C₄×C₁₃	—	2	4	no	—
796	C₄×C₁₃	—	2	2	no	—
797	C₄×C₁₃	—	2	2	no	—
798	C₄×C₁₃	—	2	2	no	—
799	C₄×C₁₃	—	2	2	no	—
800	C₄×C₁₃	—	2	4	no	—
801	C₄×C₁₃	—	2	4	no	—
802	C₄×C₁₃	C₂²×#41	1	4	yes	—
803	C₄×C₁₃	C₂²×#41	1	4	yes	—
804	Dic₁₃	—	2	4	no	—
805	Dic₁₃	—	2	2	no	—
806	Dic₁₃	—	2	2	no	—
807	Dic₁₃	—	2	2	no	—
808	Dic₁₃	—	2	2	no	—
809	Dic₁₃	—	2	4	no	—
810	Dic₁₃	—	2	4	no	—
811	Dic₁₃	C₂²×#41	1	4	yes	—
812	Dic₁₃	C₂²×#41	1	4	yes	—
813	C₂⁵	—	13	1	no	—
814	C₂⁵	—	13	2	no	—
815	C₂²×Q₈	—	13	8	no	—
816	C₂²×Q₈	—	13	2	no	—
817	C₂²×Q₈	—	13	1	no	—
818	C₂²×Q₈	—	26	8	no	—
819	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
820	C₂²×D₄	—	13	2	no	—
821	C₂²×D₄	—	13	2	no	—
822	C₂²×D₄	—	13	2	no	—
823	C₂²×D₄	—	13	16	no	—
824	C₂²×D₄	—	13	8	no	—
825	C₂²×D₄	—	13	2	no	—
826	C₂²×D₄	—	13	1	no	—
827	C₂²×D₄	—	26	8	no	—
828	C₂²×D₄	—	26	16	no	—
829	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
830	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
831	C₂³×C₄	—	13	1	no	—
832	C₂³×C₄	—	13	1	no	—
833	C₂³×C₄	—	13	2	no	—
834	C₂³×C₄	—	13	1	no	—
835	C₂³×C₄	—	13	1	no	—
836	C₂³×C₄	—	13	1	no	—
837	C₂³×C₄	—	13	2	no	—
838	C₂³×C₄	—	13	2	no	—
839	C₂³×C₄	—	13	1	no	—
840	C₂³×C₄	—	13	1	no	—
841	C₂³×C₄	—	13	1	no	—
842	C₂³×C₄	—	13	1	no	—
843	C₂³×C₄	—	13	2	no	—
844	C₂³×C₄	—	13	2	no	—
845	C₂³×C₄	—	13	16	no	—
846	C₂³×C₄	—	13	1	no	—
847	C₂³×C₄	—	13	8	no	—
848	C₂³×C₄	—	13	1	no	—
849	C₂³×C₄	—	13	8	no	—
850	C₂³×C₄	—	13	1	no	—
851	C₂³×C₄	—	13	1	no	—
852	C₂³×C₄	—	13	1	no	—
853	C₂³×C₄	—	13	8	no	—
854	C₂³×C₄	—	13	2	no	—
855	C₂³×C₄	—	13	1	no	—
856	C₂³×C₄	—	26	8	no	—
857	C₂³×C₄	—	26	16	no	—
858	C₂³×C₄	—	26	8	no	—
859	C₂³×C₄	—	26	8	no	—
860	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
861	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
862	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
863	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
864	#126	—	13	16	no	—
865	#126	—	13	16	no	—
866	#126	—	13	16	no	—
867	#126	—	13	16	no	—
868	#126	—	13	16	no	—
869	#126	—	13	16	no	—
870	#126	—	13	16	no	—
871	#126	C₂²×D₁₃	1	16	yes	complemented
872	#125	—	13	16	no	—
873	#125	—	13	16	no	—
874	#125	—	13	8	no	—
875	#125	—	13	8	no	—
876	#125	—	13	8	no	—
877	#125	C₂²×D₁₃	1	8	yes	complemented
878	#124	—	13	8	no	—
879	#124	—	13	8	no	—
880	#124	—	13	16	no	—
881	#124	—	13	16	no	—
882	#124	—	13	8	no	—
883	#124	C₂²×D₁₃	1	8	yes	complemented
884	#123	—	13	16	no	—
885	#123	—	13	16	no	—
886	#123	—	13	16	no	—
887	#123	—	13	16	no	—
888	#123	—	13	16	no	—
889	#123	—	13	16	no	—
890	#123	—	13	16	no	—
891	#123	C₂²×D₁₃	1	16	yes	complemented
892	C₂²⋊Q₈	—	13	8	no	—
893	C₂²⋊Q₈	—	13	8	no	—
894	C₂²⋊Q₈	—	13	16	no	—
895	C₂²⋊Q₈	—	13	8	no	—
896	C₂²⋊Q₈	—	13	16	no	—
897	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
898	#121	—	13	8	no	—
899	#121	—	13	16	no	—
900	#121	—	13	8	no	—
901	#121	—	13	8	no	—
902	#121	—	13	16	no	—
903	#121	C₂²×D₁₃	1	8	yes	—
904	C₄×Q₈	—	13	8	no	—
905	C₄×Q₈	—	13	16	no	—
906	C₄×Q₈	—	13	8	no	—
907	C₄×Q₈	—	13	16	no	—
908	C₄×Q₈	—	13	8	no	—
909	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
910	C₄×D₄	—	13	8	no	—
911	C₄×D₄	—	13	16	no	—
912	C₄×D₄	—	13	16	no	—
913	C₄×D₄	—	13	16	no	—
914	C₄×D₄	—	13	16	no	—
915	C₄×D₄	—	13	8	no	—
916	C₄×D₄	—	13	16	no	—
917	C₄×D₄	—	13	16	no	—
918	C₄×D₄	—	13	16	no	—
919	C₄×D₄	—	13	16	no	—
920	C₄×D₄	—	13	8	no	—
921	C₄×D₄	—	13	16	no	—
922	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
923	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
924	#117	—	13	16	no	—
925	#117	—	13	16	no	—
926	#117	—	13	16	no	—
927	#117	—	13	16	no	—
928	#117	—	13	16	no	—
929	#117	—	13	16	no	—
930	#117	—	13	16	no	—
931	#117	C₂²×D₁₃	1	16	yes	complemented
932	C₂×C₄⋊C₄	—	13	2	no	—
933	C₂×C₄⋊C₄	—	13	2	no	—
934	C₂×C₄⋊C₄	—	13	2	no	—
935	C₂×C₄⋊C₄	—	13	2	no	—
936	C₂×C₄⋊C₄	—	13	2	no	—
937	C₂×C₄⋊C₄	—	13	2	no	—
938	C₂×C₄⋊C₄	—	13	2	no	—
939	C₂×C₄⋊C₄	—	13	1	no	—
940	C₂×C₄⋊C₄	—	13	2	no	—
941	C₂×C₄⋊C₄	—	13	2	no	—
942	C₂×C₄⋊C₄	—	13	2	no	—
943	C₂×C₄⋊C₄	—	13	2	no	—
944	C₂×C₄⋊C₄	—	13	1	no	—
945	C₂×C₄⋊C₄	—	13	2	no	—
946	C₂×C₄⋊C₄	—	13	2	no	—
947	C₂×C₄⋊C₄	—	13	2	no	—
948	C₂×C₄⋊C₄	—	13	16	no	—
949	C₂×C₄⋊C₄	—	13	16	no	—
950	C₂×C₄⋊C₄	—	13	8	no	—
951	C₂×C₄⋊C₄	—	13	16	no	—
952	C₂×C₄⋊C₄	—	13	8	no	—
953	C₂×C₄⋊C₄	—	13	16	no	—
954	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
955	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
956	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
958	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
960	C₂×C₂²⋊C₄	—	13	2	no	—
961	C₂×C₂²⋊C₄	—	13	2	no	—
962	C₂×C₂²⋊C₄	—	13	2	no	—
963	C₂×C₂²⋊C₄	—	13	2	no	—
964	C₂×C₂²⋊C₄	—	13	2	no	—
965	C₂×C₂²⋊C₄	—	13	2	no	—
966	C₂×C₂²⋊C₄	—	13	2	no	—
967	C₂×C₂²⋊C₄	—	13	2	no	—
968	C₂×C₂²⋊C₄	—	13	2	no	—
969	C₂×C₂²⋊C₄	—	13	2	no	—
970	C₂×C₂²⋊C₄	—	13	2	no	—
971	C₂×C₂²⋊C₄	—	13	2	no	—
972	C₂×C₂²⋊C₄	—	13	2	no	—
973	C₂×C₂²⋊C₄	—	13	2	no	—
974	C₂×C₂²⋊C₄	—	13	2	no	—
975	C₂×C₂²⋊C₄	—	13	16	no	—
976	C₂×C₂²⋊C₄	—	13	16	no	—
977	C₂×C₂²⋊C₄	—	13	16	no	—
978	C₂×C₂²⋊C₄	—	13	16	no	—
979	C₂×C₂²⋊C₄	—	13	16	no	—
980	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
981	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
982	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
983	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
984	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
985	C₂×C₄²	—	13	1	no	—
986	C₂×C₄²	—	13	1	no	—
987	C₂×C₄²	—	13	2	no	—
988	C₂×C₄²	—	13	2	no	—
989	C₂×C₄²	—	13	1	no	—
990	C₂×C₄²	—	13	1	no	—
991	C₂×C₄²	—	13	1	no	—
992	C₂×C₄²	—	13	1	no	—
993	C₂×C₄²	—	13	1	no	—
994	C₂×C₄²	—	13	1	no	—
995	C₂×C₄²	—	13	1	no	—
996	C₂×C₄²	—	13	1	no	—
997	C₂×C₄²	—	13	8	no	—
998	C₂×C₄²	—	13	8	no	—
999	C₂×C₄²	—	13	8	no	—
1000	C₂×C₄²	—	13	1	no	—
1001	C₂×C₄²	—	13	2	no	—
1002	C₂×C₄²	—	13	1	no	—
1003	C₂×C₄²	—	13	8	no	—
1004	C₂×C₄²	—	13	16	no	—
1005	C₂×C₄²	—	13	8	no	—
1006	C₂×C₄²	—	13	8	no	—
1007	C₂×C₄²	—	13	8	no	—
1008	C₂×C₄²	—	13	8	no	—
1009	C₂×C₄²	—	13	8	no	—
1010	C₂×C₄²	—	13	8	no	—
1011	C₂×C₄²	—	13	8	no	—
1012	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1013	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1014	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1015	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
1016	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₄²	C₂²×D₁₃	1	8	yes	complemented
1018	C₂×C₁₃	—	2	4	no	—
1019	C₂×C₁₃	—	4	4	no	—
1020	C₂×C₁₃	C₂×#529	1	4	yes	complemented
1021	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1022	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1023	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1024	D₁₃	—	2	4	no	—
1025	D₁₃	—	4	4	no	—
1026	D₁₃	C₂×#529	1	8	yes	direct product factor
1027	C₂⁴	—	13	1	no	—
1028	C₂⁴	—	13	8	no	—
1029	C₂⁴	—	13	4	no	—
1030	C₂⁴	—	13	1	no	—
1031	C₂⁴	—	13	8	no	—
1032	C₂⁴	—	13	2	no	—
1033	C₂⁴	—	26	4	no	—
1034	C₂⁴	—	26	4	no	—
1035	C₂⁴	—	26	8	no	—
1036	C₂⁴	—	26	8	no	—
1037	C₂⁴	—	26	8	no	—
1038	C₂⁴	C₂³×D₁₃	1	2	yes	—
1039	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1040	C₂×Q₈	—	2	4	no	—
1041	C₂×Q₈	—	13	8	no	—
1042	C₂×Q₈	—	13	4	no	—
1043	C₂×Q₈	—	26	8	no	—
1044	C₂×Q₈	—	26	32	no	—
1045	C₂×Q₈	—	26	4	no	—
1046	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1047	C₂×D₄	—	2	8	no	—
1048	C₂×D₄	—	2	4	no	—
1049	C₂×D₄	—	13	8	no	—
1050	C₂×D₄	—	13	8	no	—
1051	C₂×D₄	—	13	8	no	—
1052	C₂×D₄	—	13	8	no	—
1053	C₂×D₄	—	13	4	no	—
1054	C₂×D₄	—	26	8	no	—
1055	C₂×D₄	—	26	32	no	—
1056	C₂×D₄	—	26	8	no	—
1057	C₂×D₄	—	26	64	no	—
1058	C₂×D₄	—	26	8	no	—
1059	C₂×D₄	—	26	8	no	—
1060	C₂×D₄	—	26	4	no	—
1061	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1062	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1063	C₂²×C₄	—	2	4	no	—
1064	C₂²×C₄	—	2	4	no	—
1065	C₂²×C₄	—	2	8	no	—
1066	C₂²×C₄	—	2	4	no	—
1067	C₂²×C₄	—	13	1	no	—
1068	C₂²×C₄	—	13	1	no	—
1069	C₂²×C₄	—	13	8	no	—
1070	C₂²×C₄	—	13	8	no	—
1071	C₂²×C₄	—	13	4	no	—
1072	C₂²×C₄	—	13	4	no	—
1073	C₂²×C₄	—	13	1	no	—
1074	C₂²×C₄	—	13	1	no	—
1075	C₂²×C₄	—	13	1	no	—
1076	C₂²×C₄	—	13	1	no	—
1077	C₂²×C₄	—	13	4	no	—
1078	C₂²×C₄	—	13	4	no	—
1079	C₂²×C₄	—	13	4	no	—
1080	C₂²×C₄	—	13	2	no	—
1081	C₂²×C₄	—	13	2	no	—
1082	C₂²×C₄	—	13	2	no	—
1083	C₂²×C₄	—	13	8	no	—
1084	C₂²×C₄	—	13	4	no	—
1085	C₂²×C₄	—	13	4	no	—
1086	C₂²×C₄	—	13	4	no	—
1087	C₂²×C₄	—	13	4	no	—
1088	C₂²×C₄	—	13	4	no	—
1089	C₂²×C₄	—	13	4	no	—
1090	C₂²×C₄	—	13	4	no	—
1091	C₂²×C₄	—	13	4	no	—
1092	C₂²×C₄	—	13	4	no	—
1093	C₂²×C₄	—	13	4	no	—
1094	C₂²×C₄	—	13	8	no	—
1095	C₂²×C₄	—	13	8	no	—
1096	C₂²×C₄	—	13	8	no	—
1097	C₂²×C₄	—	13	8	no	—
1098	C₂²×C₄	—	13	8	no	—
1099	C₂²×C₄	—	26	4	no	—
1100	C₂²×C₄	—	26	8	no	—
1101	C₂²×C₄	—	26	4	no	—
1102	C₂²×C₄	—	26	32	no	—
1103	C₂²×C₄	—	26	64	no	—
1104	C₂²×C₄	—	26	32	no	—
1105	C₂²×C₄	—	26	8	no	—
1106	C₂²×C₄	—	26	4	no	—
1107	C₂²×C₄	—	26	4	no	—
1108	C₂²×C₄	—	26	4	no	—
1109	C₂²×C₄	—	26	4	no	—
1110	C₂²×C₄	—	26	32	no	—
1111	C₂²×C₄	—	26	4	no	—
1112	C₂²×C₄	—	26	4	no	—
1113	C₂²×C₄	—	26	8	no	—
1114	C₂²×C₄	—	26	8	no	—
1115	C₂²×C₄	—	26	4	no	—
1116	C₂²×C₄	—	26	8	no	—
1117	C₂²×C₄	—	26	4	no	—
1118	C₂²×C₄	—	26	4	no	—
1119	C₂²×C₄	—	26	4	no	—
1120	C₂²×C₄	—	26	8	no	—
1121	C₂²×C₄	—	26	4	no	—
1122	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1123	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1124	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1125	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1126	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1127	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1128	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1129	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1130	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1131	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1132	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1133	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1134	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1135	C₄⋊C₄	—	13	8	no	—
1136	C₄⋊C₄	—	13	8	no	—
1137	C₄⋊C₄	—	13	8	no	—
1138	C₄⋊C₄	—	13	8	no	—
1139	C₄⋊C₄	—	13	8	no	—
1140	C₄⋊C₄	—	13	8	no	—
1141	C₄⋊C₄	—	13	8	no	—
1142	C₄⋊C₄	—	13	4	no	—
1143	C₄⋊C₄	—	13	8	no	—
1144	C₄⋊C₄	—	13	8	no	—
1145	C₄⋊C₄	—	13	8	no	—
1146	C₄⋊C₄	—	13	8	no	—
1147	C₄⋊C₄	—	13	4	no	—
1148	C₄⋊C₄	—	13	8	no	—
1149	C₄⋊C₄	—	13	8	no	—
1150	C₄⋊C₄	—	13	8	no	—
1151	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1152	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1153	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1154	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1155	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1156	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1157	C₂²⋊C₄	—	13	8	no	—
1158	C₂²⋊C₄	—	13	8	no	—
1159	C₂²⋊C₄	—	13	8	no	—
1160	C₂²⋊C₄	—	13	8	no	—
1161	C₂²⋊C₄	—	13	8	no	—
1162	C₂²⋊C₄	—	13	8	no	—
1163	C₂²⋊C₄	—	13	8	no	—
1164	C₂²⋊C₄	—	13	8	no	—
1165	C₂²⋊C₄	—	13	8	no	—
1166	C₂²⋊C₄	—	13	8	no	—
1167	C₂²⋊C₄	—	13	8	no	—
1168	C₂²⋊C₄	—	13	8	no	—
1169	C₂²⋊C₄	—	13	8	no	—
1170	C₂²⋊C₄	—	13	8	no	—
1171	C₂²⋊C₄	—	13	8	no	—
1172	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1173	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1174	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1175	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1176	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1177	C₄²	—	13	4	no	—
1178	C₄²	—	13	4	no	—
1179	C₄²	—	13	4	no	—
1180	C₄²	—	13	4	no	—
1181	C₄²	—	13	4	no	—
1182	C₄²	—	13	4	no	—
1183	C₄²	—	13	4	no	—
1184	C₄²	—	13	4	no	—
1185	C₄²	—	13	4	no	—
1186	C₄²	—	13	4	no	—
1187	C₄²	—	13	4	no	—
1188	C₄²	—	13	4	no	—
1189	C₄²	—	13	8	no	—
1190	C₄²	—	13	8	no	—
1191	C₄²	—	13	8	no	—
1192	C₄²	C₂³×D₁₃	1	4	yes	—
1193	C₄²	C₂³×D₁₃	1	4	yes	—
1194	C₄²	C₂³×D₁₃	1	4	yes	—
1195	C₄²	C₂³×D₁₃	1	4	yes	—
1196	C₄²	C₂³×D₁₃	1	8	yes	—
1197	C₁₃	C₂²×#529	1	1	yes	characteristic, complemented, Sylow
1198	C₂³	—	2	2	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	4	no	—
1201	C₂³	—	2	4	no	—
1202	C₂³	—	2	4	no	—
1203	C₂³	—	13	4	no	—
1204	C₂³	—	13	4	no	—
1205	C₂³	—	13	4	no	—
1206	C₂³	—	13	2	no	—
1207	C₂³	—	13	16	no	—
1208	C₂³	—	13	4	no	—
1209	C₂³	—	13	2	no	—
1210	C₂³	—	13	4	no	—
1211	C₂³	—	26	8	no	—
1212	C₂³	—	26	8	no	—
1213	C₂³	—	26	32	no	—
1214	C₂³	—	26	16	no	—
1215	C₂³	—	26	16	no	—
1216	C₂³	—	26	16	no	—
1217	C₂³	—	26	2	no	—
1218	C₂³	—	26	2	no	—
1219	C₂³	—	26	4	no	—
1220	C₂³	—	26	4	no	—
1221	C₂³	—	26	4	no	—
1222	C₂³	—	52	32	no	—
1223	C₂³	#41×D₁₃	1	4	yes	—
1224	C₂³	C₂⁴×D₁₃	1	4	yes	—
1225	C₂³	C₂⁴×D₁₃	1	2	yes	—
1226	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1227	Q₈	—	2	8	no	—
1228	Q₈	—	26	16	no	—
1229	Q₈	—	26	8	no	—
1230	D₄	—	2	16	no	—
1231	D₄	—	2	8	no	—
1232	D₄	—	26	16	no	—
1233	D₄	—	26	16	no	—
1234	D₄	—	26	16	no	—
1235	D₄	—	26	16	no	—
1236	D₄	—	26	8	no	—
1237	C₂×C₄	—	2	8	no	—
1238	C₂×C₄	—	2	2	no	—
1239	C₂×C₄	—	2	2	no	—
1240	C₂×C₄	—	2	2	no	—
1241	C₂×C₄	—	2	2	no	—
1242	C₂×C₄	—	2	4	no	—
1243	C₂×C₄	—	2	4	no	—
1244	C₂×C₄	—	2	4	no	—
1245	C₂×C₄	—	2	8	no	—
1246	C₂×C₄	—	2	16	no	—
1247	C₂×C₄	—	2	8	no	—
1248	C₂×C₄	—	13	4	no	—
1249	C₂×C₄	—	13	4	no	—
1250	C₂×C₄	—	13	2	no	—
1251	C₂×C₄	—	13	2	no	—
1252	C₂×C₄	—	13	16	no	—
1253	C₂×C₄	—	13	16	no	—
1254	C₂×C₄	—	13	2	no	—
1255	C₂×C₄	—	13	2	no	—
1256	C₂×C₄	—	13	2	no	—
1257	C₂×C₄	—	13	2	no	—
1258	C₂×C₄	—	13	4	no	—
1259	C₂×C₄	—	13	4	no	—
1260	C₂×C₄	—	13	4	no	—
1261	C₂×C₄	—	26	8	no	—
1262	C₂×C₄	—	26	16	no	—
1263	C₂×C₄	—	26	8	no	—
1264	C₂×C₄	—	26	8	no	—
1265	C₂×C₄	—	26	8	no	—
1266	C₂×C₄	—	26	16	no	—
1267	C₂×C₄	—	26	8	no	—
1268	C₂×C₄	—	26	8	no	—
1269	C₂×C₄	—	26	8	no	—
1270	C₂×C₄	—	26	8	no	—
1271	C₂×C₄	—	26	16	no	—
1272	C₂×C₄	—	26	16	no	—
1273	C₂×C₄	—	26	8	no	—
1274	C₂×C₄	—	26	16	no	—
1275	C₂×C₄	—	26	8	no	—
1276	C₂×C₄	—	26	8	no	—
1277	C₂×C₄	—	26	2	no	—
1278	C₂×C₄	—	26	2	no	—
1279	C₂×C₄	—	26	2	no	—
1280	C₂×C₄	—	26	2	no	—
1281	C₂×C₄	—	26	4	no	—
1282	C₂×C₄	—	26	4	no	—
1283	C₂×C₄	—	26	4	no	—
1284	C₂×C₄	—	26	8	no	—
1285	C₂×C₄	—	26	16	no	—
1286	C₂×C₄	—	26	8	no	—
1287	C₂×C₄	#41×D₁₃	1	4	yes	—
1288	C₂×C₄	#41×D₁₃	1	4	yes	—
1289	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1290	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1291	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1292	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1293	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1294	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1295	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1296	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1297	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1298	C₂²	—	2	8	no	—
1299	C₂²	—	2	2	no	—
1300	C₂²	—	2	2	no	—
1301	C₂²	—	2	4	no	—
1302	C₂²	—	2	4	no	—
1303	C₂²	—	2	4	no	—
1304	C₂²	—	4	8	no	—
1305	C₂²	—	13	16	no	—
1306	C₂²	—	13	4	no	—
1307	C₂²	—	13	4	no	—
1308	C₂²	—	13	4	no	—
1309	C₂²	—	13	4	no	—
1310	C₂²	—	26	32	no	—
1311	C₂²	—	26	8	no	—
1312	C₂²	—	26	2	no	—
1313	C₂²	—	26	2	no	—
1314	C₂²	—	26	4	no	—
1315	C₂²	—	26	4	no	—
1316	C₂²	—	26	4	no	—
1317	C₂²	—	52	32	no	—
1318	C₂²	—	52	8	no	—
1319	C₂²	C₂×#41×D₁₃	1	4	yes	—
1320	C₂²	C₂×#41×D₁₃	1	2	yes	—
1321	C₂²	C₂×#41×D₁₃	1	2	yes	—
1322	C₂²	C₂×#41×D₁₃	1	2	yes	—
1323	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1324	C₄	—	2	2	no	—
1325	C₄	—	2	2	no	—
1326	C₄	—	2	2	no	—
1327	C₄	—	2	2	no	—
1328	C₄	—	2	4	no	—
1329	C₄	—	2	4	no	—
1330	C₄	—	2	4	no	—
1331	C₄	—	13	4	no	—
1332	C₄	—	13	4	no	—
1333	C₄	—	26	2	no	—
1334	C₄	—	26	2	no	—
1335	C₄	—	26	2	no	—
1336	C₄	—	26	2	no	—
1337	C₄	—	26	4	no	—
1338	C₄	—	26	4	no	—
1339	C₄	—	26	4	no	—
1340	C₄	C₂×#41×D₁₃	1	4	yes	—
1341	C₄	C₂×#41×D₁₃	1	4	yes	—
1342	C₂	—	2	4	no	—
1343	C₂	—	4	4	no	—
1344	C₂	—	13	8	no	—
1345	C₂	—	26	4	no	—
1346	C₂	—	52	4	no	—
1347	C₂	D₁₃×#529	1	4	yes	direct product factor
1348	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1349	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1350	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#529	C₂
socle	C₂³×C₁₃	C₂⁵
prime radical	C₂×D₁₃×#121	C₂
hypercenter	C₂×#529	D₁₃
hypocenter	C₁₃	C₂²×#529
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. C₂×#11719285	C₂	semidirect
2. C₂×#11719329	C₂	semidirect
3. C₂×#11719396	C₂	semidirect
4. C₂×#11719184	C₂	semidirect
5. C₂×#11719411	C₂	semidirect
6. C₂×#11719262	C₂	semidirect
7. C₂×#11719305	C₂	semidirect
8. C₂×#11719243	C₂	semidirect
9. C₂×#11719385	C₂	semidirect
10. C₂×#11719233	C₂	semidirect
11. C₂×#11719354	C₂	semidirect
12. D₁₃×#529	C₂	direct (N × H)
13. C₂×D₁₃×#126	C₂	semidirect
14. C₂×D₁₃×#125	C₂	semidirect
15. C₂×D₁₃×#124	C₂	semidirect
16. C₂×D₁₃×#123	C₂	semidirect
17. C₂×D₁₃×C₂²⋊Q₈	C₂	semidirect
19. C₂×C₄×Q₈×D₁₃	C₂	semidirect
20. C₂×C₄×D₄×D₁₃	C₂	semidirect
21. C₂×C₄×D₄×D₁₃	C₂	semidirect
22. C₂×D₁₃×#117	C₂	semidirect
23. C₂²×C₄²×D₁₃	C₂	semidirect
24. C₂×C₁₃×#529	C₂	semidirect
32. C₁₃×#529	C₂²	semidirect
33. C₂×C₁₃×#126	C₂²	semidirect
34. C₂×C₁₃×#125	C₂²	semidirect
35. C₂×C₁₃×#124	C₂²	semidirect
36. C₂×C₁₃×#123	C₂²	semidirect
37. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
39. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
40. C₂×C₄×D₄×C₁₃	C₂²	semidirect
41. C₂×C₄×D₄×C₁₃	C₂²	semidirect
42. C₂×C₁₃×#117	C₂²	semidirect
43. C₂²×C₄²×C₁₃	C₂²	semidirect
44. C₂×#88201	C₂²	semidirect
45. C₂×#88200	C₂²	semidirect
46. C₂×Q₈×Dic₁₃	C₂²	semidirect
49. C₂×#88190	C₂²	semidirect
50. C₂×#88189	C₂²	semidirect
51. C₂×D₄×Dic₁₃	C₂²	semidirect
52. C₂×D₄×Dic₁₃	C₂²	semidirect
54. C₂×#88183	C₂²	semidirect
55. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
56. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
57. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
58. C₂×#88180	C₂²	semidirect
59. C₂×#88178	C₂²	semidirect
60. C₂²×C₄×Dic₁₃	C₂²	semidirect
61. C₂²×C₄×Dic₁₃	C₂²	semidirect
62. C₂²×C₄×Dic₁₃	C₂²	semidirect
63. #11719411	C₂²	semidirect
64. D₁₃×#126	C₂²	semidirect
65. #11719396	C₂²	semidirect
66. D₁₃×#125	C₂²	semidirect
67. #11719385	C₂²	semidirect
68. D₁₃×#124	C₂²	semidirect
69. D₁₃×#123	C₂²	semidirect
70. #11719354	C₂²	semidirect
71. D₁₃×C₂²⋊Q₈	C₂²	semidirect
72. #11719329	C₂²	semidirect
74. #11719305	C₂²	semidirect
75. #11719285	C₂²	semidirect
76. C₄×Q₈×D₁₃	C₂²	semidirect
77. #11719262	C₂²	semidirect
78. C₄×D₄×D₁₃	C₂²	semidirect
79. C₄×D₄×D₁₃	C₂²	semidirect
80. #11719243	C₂²	semidirect
81. #11719233	C₂²	semidirect
82. D₁₃×#117	C₂²	semidirect
83. C₂×#88152	C₂²	semidirect
84. C₂×#88152	C₂²	semidirect
85. C₂×#88152	C₂²	semidirect
86. C₂×#88151	C₂²	semidirect
87. C₂×#88150	C₂²	semidirect
89. C₂×#88148	C₂²	semidirect
90. C₂×#88148	C₂²	semidirect
91. C₂×#88147	C₂²	semidirect
92. C₂×#88147	C₂²	semidirect
93. C₂×#88146	C₂²	semidirect
94. C₂×#88146	C₂²	semidirect
101. C₂×#88144	C₂²	semidirect
102. C₂×#88144	C₂²	semidirect
103. C₂×#88143	C₂²	semidirect
104. C₂×#88143	C₂²	semidirect
105. C₂×#88141	C₂²	semidirect
106. C₂×#88141	C₂²	semidirect
107. C₂×#88140	C₂²	semidirect
108. C₂×#88139	C₂²	semidirect
109. C₂×#88139	C₂²	semidirect
111. C₂×#88137	C₂²	semidirect
112. C₂×#88137	C₂²	semidirect
113. C₂×#88135	C₂²	semidirect
114. C₂×#88135	C₂²	semidirect
115. C₂×#88135	C₂²	semidirect
121. C₂×#88133	C₂²	semidirect
122. C₂×#88133	C₂²	semidirect
123. C₂×#88133	C₂²	semidirect
124. C₂×#88132	C₂²	semidirect
125. C₂×#88131	C₂²	semidirect
126. C₂×#88131	C₂²	semidirect
127. #11719184	C₂²	semidirect
128. C₂×#88130	C₂²	semidirect
129. C₂×#88129	C₂²	semidirect
130. C₂×C₄×D₅₂	C₂²	semidirect
131. C₂×C₄×D₅₂	C₂²	semidirect
132. C₂×#88126	C₂²	semidirect
133. C₂×#88126	C₂²	semidirect
139. C₂×C₄²×D₁₃	C₂²	semidirect
140. C₂×C₄²×D₁₃	C₂²	semidirect
141. C₂×C₄²×D₁₃	C₂²	semidirect
142. C₂×C₄²×D₁₃	C₂²	semidirect
143. C₂×C₄²×D₁₃	C₂²	semidirect
144. C₂×#88124	C₂²	semidirect
145. C₂×C₄×Dic₂₆	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
198. C₁₃×#126	C₂³	semidirect
199. C₁₃×#125	C₂³	semidirect
200. C₁₃×#124	C₂³	semidirect
201. C₁₃×#123	C₂³	semidirect
202. C₁₃×C₂²⋊Q₈	C₂³	semidirect
204. C₄×Q₈×C₁₃	C₂³	semidirect
205. C₄×D₄×C₁₃	C₂³	semidirect
206. C₄×D₄×C₁₃	C₂³	semidirect
207. C₁₃×#117	C₂³	semidirect
224. C₂×C₄²×C₁₃	C₂³	semidirect
230. #88201	C₂³	semidirect
231. #88200	C₂³	semidirect
232. Q₈×Dic₁₃	C₂³	semidirect
235. #88190	C₂³	semidirect
236. #88189	C₂³	semidirect
237. D₄×Dic₁₃	C₂³	semidirect
238. D₄×Dic₁₃	C₂³	semidirect
240. #88183	C₂³	semidirect
241. C₄×C₂²⋊D₁₃	C₂³	semidirect
242. C₄×C₂²⋊D₁₃	C₂³	semidirect
243. C₄×C₂²⋊D₁₃	C₂³	semidirect
254. #88180	C₂³	semidirect
261. #88178	C₂³	semidirect
287. C₂×C₄×Dic₁₃	C₂³	semidirect
288. C₂×C₄×Dic₁₃	C₂³	semidirect
289. C₂×C₄×Dic₁₃	C₂³	semidirect
290. #88152	C₂³	semidirect
291. #88152	C₂³	semidirect
292. #88152	C₂³	semidirect
293. #88151	C₂³	semidirect
294. #88150	C₂³	semidirect
296. #88148	C₂³	semidirect
297. #88148	C₂³	semidirect
298. #88147	C₂³	semidirect
299. #88147	C₂³	semidirect
300. #88146	C₂³	semidirect
301. #88146	C₂³	semidirect
308. #88144	C₂³	semidirect
309. #88144	C₂³	semidirect
310. #88143	C₂³	semidirect
311. #88143	C₂³	semidirect
312. #88141	C₂³	semidirect
313. #88141	C₂³	semidirect
314. #88140	C₂³	semidirect
315. #88139	C₂³	semidirect
316. #88139	C₂³	semidirect
318. #88137	C₂³	semidirect
319. #88137	C₂³	semidirect
320. #88135	C₂³	semidirect
321. #88135	C₂³	semidirect
322. #88135	C₂³	semidirect
328. #88133	C₂³	semidirect
329. #88133	C₂³	semidirect
330. #88133	C₂³	semidirect
331. #88132	C₂³	semidirect
332. #88131	C₂³	semidirect
333. #88131	C₂³	semidirect
334. #88130	C₂³	semidirect
335. #88129	C₂³	semidirect
336. C₄×D₅₂	C₂³	semidirect
337. C₄×D₅₂	C₂³	semidirect
338. #88126	C₂³	semidirect
339. #88126	C₂³	semidirect
345. C₄²×D₁₃	C₂³	semidirect
346. C₄²×D₁₃	C₂³	semidirect
347. C₄²×D₁₃	C₂³	semidirect
348. C₄²×D₁₃	C₂³	semidirect
349. #88124	C₂³	semidirect
350. C₄×Dic₂₆	C₂³	semidirect
351. C₄×Dic₂₆	C₂³	semidirect
535. C₂×#529	D₁₃	direct (N × H)
665. #529	C₂×D₁₃	direct (N × H)
674. C₂×#126	C₂×D₁₃	semidirect
681. C₂×#125	C₂×D₁₃	semidirect
688. C₂×#124	C₂×D₁₃	semidirect
697. C₂×#123	C₂×D₁₃	semidirect
704. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
718. C₂×C₄×Q₈	C₂×D₁₃	semidirect
733. C₂×C₄×D₄	C₂×D₁₃	semidirect
734. C₂×C₄×D₄	C₂×D₁₃	semidirect
743. C₂×#117	C₂×D₁₃	semidirect
768. C₂²×C₄²	C₂×D₁₃	semidirect
790. C₂×D₁₃	#529	direct (N × H)
871. #126	C₂²×D₁₃	semidirect
877. #125	C₂²×D₁₃	semidirect
883. #124	C₂²×D₁₃	semidirect
891. #123	C₂²×D₁₃	semidirect
897. C₂²⋊Q₈	C₂²×D₁₃	semidirect
909. C₄×Q₈	C₂²×D₁₃	semidirect
922. C₄×D₄	C₂²×D₁₃	semidirect
923. C₄×D₄	C₂²×D₁₃	semidirect
931. #117	C₂²×D₁₃	semidirect
1017. C₂×C₄²	C₂²×D₁₃	semidirect
1020. C₂×C₁₃	C₂×#529	semidirect
1026. D₁₃	C₂×#529	direct (N × H)
1197. C₁₃	C₂²×#529	semidirect
1347. C₂	D₁₃×#529	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×#11719285	2
C₂×#11719329	2
C₂×#11719396	2
C₂×#11719184	2
C₂×#11719411	2
C₂×#11719262	2
C₂×#11719305	2
C₂×#11719243	2
C₂×#11719385	2
C₂×#11719233	2
C₂×#11719354	2
D₁₃×#529	2
C₂×D₁₃×#126	2
C₂×D₁₃×#125	2
C₂×D₁₃×#124	2
C₂×D₁₃×#123	2
C₂×D₁₃×C₂²⋊Q₈	2
C₂×D₁₃×#121	2
C₂×C₄×Q₈×D₁₃	2
C₂×C₄×D₄×D₁₃	2
C₂×D₁₃×#117	2
C₂²×C₄²×D₁₃	2
C₂×C₁₃×#529	2
C₂²×#529	13

Subgroups — C2×D13×#529 #16769592

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₁₃×#529 #16769592