Subgroups — C₂×#13128765 #16770885

Order 3328.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1356 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128765	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719386	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719244	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719270	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719306	C₂	1	2	yes	maximal, complemented
6	C₂×#11719344	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719200	C₂	1	2	yes	maximal, complemented
8	C₂×#11719363	C₂	1	2	yes	maximal, complemented
9	C₂×#11719316	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719534	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719296	C₂	1	2	yes	maximal, complemented
12	C₂×D₄×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719348	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719324	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719370	C₂	1	2	yes	maximal, complemented
16	C₂×#11719298	C₂	1	2	yes	maximal, complemented
17	C₂×#11719262	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719385	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719311	C₂	1	2	yes	maximal, complemented
20	C₂²×#88137	C₂	1	2	yes	maximal, complemented
21	C₂×#11719532	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719503	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic
26	C₂³×D₄×C₁₃	C₂²	1	1	yes	characteristic
27	C₂³×C₂²⋊D₁₃	C₂²	1	2	yes	—
28	C₂²×#6129	C₂²	1	2	yes	complemented
29	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
30	C₂³×C₄×D₁₃	C₂²	1	2	yes	complemented
31	C₁₃×#546	C₂²	1	16	yes	complemented
32	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
34	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
37	C₂×C₁₃×#120	C₂²	1	2	yes	complemented
38	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₁₃×C₂²⋊C₄	C₂²	1	2	yes	complemented
41	C₂×#88207	C₂²	1	2	yes	—
42	C₂²×C₂²⋊Dic₁₃	C₂²	1	2	yes	complemented
43	C₂²×C₂²⋊Dic₁₃	C₂²	1	2	yes	complemented
44	#11719534	C₂²	1	16	yes	complemented
45	#11719532	C₂²	1	16	yes	complemented
46	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
48	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
49	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
50	C₂×#88194	C₂²	1	1	yes	characteristic
51	C₂×#88193	C₂²	1	2	yes	—
52	C₂×#88193	C₂²	1	2	yes	complemented
53	C₂×#88193	C₂²	1	2	yes	complemented
54	C₂×#88193	C₂²	1	2	yes	complemented
55	D₄×C₂²⋊D₁₃	C₂²	1	16	yes	complemented
56	C₂×#88192	C₂²	1	1	yes	characteristic
57	C₂×#88192	C₂²	1	1	yes	characteristic
58	C₂×#88192	C₂²	1	2	yes	complemented
59	C₂×#88191	C₂²	1	2	yes	—
60	C₂×#88191	C₂²	1	2	yes	complemented
61	#11719503	C₂²	1	16	yes	complemented
62	C₂×#88190	C₂²	1	1	yes	characteristic, complemented
63	C₂×#88189	C₂²	1	2	yes	complemented
64	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
65	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
66	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
67	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
68	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
69	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
70	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
71	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
72	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
73	C₂×#88184	C₂²	1	1	yes	characteristic
74	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
75	C₂×#88183	C₂²	1	2	yes	complemented
76	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
77	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
78	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
79	C₂²×#6103	C₂²	1	2	yes	complemented
80	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
81	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
82	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
83	C₂×#88180	C₂²	1	2	yes	complemented
84	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
85	C₂²×C₄⋊Dic₁₃	C₂²	1	2	yes	complemented
86	C₂×#88178	C₂²	1	2	yes	complemented
87	C₂²×#6101	C₂²	1	2	yes	complemented
88	#11719386	C₂²	1	16	yes	complemented
89	#11719385	C₂²	1	16	yes	complemented
90	#11719370	C₂²	1	32	yes	complemented
91	#11719363	C₂²	1	32	yes	complemented
92	#11719348	C₂²	1	16	yes	complemented
93	#11719344	C₂²	1	16	yes	complemented
94	#11719324	C₂²	1	16	yes	complemented
95	#11719316	C₂²	1	16	yes	complemented
96	#11719311	C₂²	1	32	yes	complemented
97	#11719306	C₂²	1	32	yes	complemented
98	#11719298	C₂²	1	32	yes	complemented
99	#11719296	C₂²	1	32	yes	complemented
100	#11719270	C₂²	1	16	yes	complemented
101	#11719262	C₂²	1	16	yes	complemented
102	C₄×D₄×D₁₃	C₂²	1	16	yes	complemented
103	#11719244	C₂²	1	16	yes	complemented
104	C₂×#88152	C₂²	1	2	yes	complemented
105	C₂×#88152	C₂²	1	2	yes	complemented
106	C₂×#88151	C₂²	1	2	yes	complemented
107	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
108	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
109	C₂×#88146	C₂²	1	2	yes	complemented
110	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
111	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
112	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88143	C₂²	1	2	yes	complemented
114	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
115	#11719200	C₂²	1	32	yes	complemented
116	C₂×#88140	C₂²	1	2	yes	complemented
117	C₂×#88140	C₂²	1	2	yes	complemented
118	C₂×#88139	C₂²	1	2	yes	complemented
119	C₂×#88139	C₂²	1	2	yes	complemented
120	C₂×#88137	C₂²	1	2	yes	—
121	C₂×#88137	C₂²	1	1	yes	characteristic
122	C₂×#88137	C₂²	1	32	yes	complemented
123	C₂×#88137	C₂²	1	2	yes	complemented
124	C₂×#88137	C₂²	1	2	yes	complemented
125	C₂×#88137	C₂²	1	2	yes	complemented
126	C₂×#88137	C₂²	1	2	yes	complemented
127	C₂×#88137	C₂²	1	2	yes	complemented
128	C₂×#88137	C₂²	1	2	yes	complemented
129	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
130	C₂×#88135	C₂²	1	2	yes	complemented
131	C₂×#88135	C₂²	1	2	yes	complemented
132	C₂×#88135	C₂²	1	2	yes	complemented
133	C₂×#88135	C₂²	1	2	yes	complemented
134	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
135	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
136	C₂×#88133	C₂²	1	2	yes	complemented
137	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
138	C₂×#88133	C₂²	1	2	yes	complemented
139	C₂×#88132	C₂²	1	2	yes	complemented
140	C₂×#88132	C₂²	1	2	yes	complemented
141	C₂×#88132	C₂²	1	2	yes	complemented
142	C₂×#88131	C₂²	1	2	yes	complemented
143	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁵×C₁₃	C₂³	1	2	yes	—
148	C₂⁴×D₁₃	C₂³	1	2	yes	—
149	C₂×C₁₃×#41	—	2	8	no	—
150	C₂×C₁₃×#41	C₂³	1	8	yes	—
151	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×D₄×C₁₃	—	2	8	no	—
153	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
154	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
155	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
156	C₂²×D₄×C₁₃	C₂³	1	8	yes	—
157	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
158	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
159	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
161	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₁₃	—	4	8	no	—
165	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
168	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
169	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₁₃	C₂³	1	16	yes	—
174	C₂³×Dic₁₃	C₂³	1	2	yes	—
175	C₂³×Dic₁₃	C₂³	1	2	yes	—
176	C₂³×Dic₁₃	C₂³	1	2	yes	—
177	C₂³×Dic₁₃	C₂³	1	2	yes	—
178	C₂³×Dic₁₃	C₂³	1	2	yes	—
179	C₂³×Dic₁₃	C₂³	1	2	yes	—
180	C₂×#6129	—	4	8	no	—
181	C₂×#6129	C₂³	1	16	yes	complemented
182	C₂×D₄×D₁₃	—	2	8	no	—
183	C₂×D₄×D₁₃	C₂³	1	8	yes	—
184	C₂²×D₅₂	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₁₃	—	4	8	no	—
186	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
187	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
189	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
191	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
192	C₂²×C₄×D₁₃	C₂³	1	16	yes	complemented
193	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
194	C₂²×Dic₂₆	C₂³	1	2	yes	—
195	C₁₃×#124	C₂³	1	8	yes	complemented
196	C₁₃×#123	C₂³	1	16	yes	complemented
197	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
198	C₁₃×#121	C₂³	1	16	yes	complemented
199	C₁₃×#121	C₂³	1	8	yes	complemented
200	C₁₃×#120	C₂³	1	16	yes	complemented
201	C₄×D₄×C₁₃	C₂³	1	8	yes	—
202	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
213	C₂×C₁₃×C₂²⋊C₄	C₂³	1	16	yes	complemented
214	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
215	#88207	C₂³	1	16	yes	—
216	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
217	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
218	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
219	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
221	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
222	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
226	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
228	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₁₃	C₂³	1	16	yes	complemented
230	C₂×C₂²⋊Dic₁₃	C₂³	1	16	yes	complemented
231	#88201	C₂³	1	8	yes	complemented
232	#88200	C₂³	1	8	yes	complemented
233	Q₈×Dic₁₃	C₂³	1	8	yes	complemented
234	Q₈×Dic₁₃	C₂³	1	8	yes	complemented
235	#88194	C₂³	1	8	yes	—
236	#88193	C₂³	1	16	yes	—
237	#88193	C₂³	1	16	yes	complemented
238	#88193	C₂³	1	16	yes	complemented
239	#88193	C₂³	1	16	yes	complemented
240	#88192	C₂³	1	8	yes	—
241	#88192	C₂³	1	8	yes	—
242	#88192	C₂³	1	16	yes	complemented
243	#88191	C₂³	1	16	yes	—
244	#88191	C₂³	1	16	yes	complemented
245	#88190	C₂³	1	8	yes	complemented
246	#88189	C₂³	1	16	yes	complemented
247	D₄×Dic₁₃	C₂³	1	8	yes	—
248	D₄×Dic₁₃	C₂³	1	8	yes	—
249	D₄×Dic₁₃	C₂³	1	8	yes	—
250	D₄×Dic₁₃	C₂³	1	16	yes	complemented
251	D₄×Dic₁₃	C₂³	1	16	yes	complemented
252	D₄×Dic₁₃	C₂³	1	8	yes	complemented
253	D₄×Dic₁₃	C₂³	1	8	yes	complemented
254	D₄×Dic₁₃	C₂³	1	16	yes	complemented
255	D₄×Dic₁₃	C₂³	1	16	yes	complemented
256	#88184	C₂³	1	8	yes	—
257	#88184	C₂³	1	8	yes	complemented
258	#88183	C₂³	1	16	yes	complemented
259	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
260	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
261	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
262	C₂×#6103	C₂³	1	2	yes	—
263	C₂×#6103	C₂³	1	2	yes	—
264	C₂×#6103	C₂³	1	2	yes	—
265	C₂×#6103	C₂³	1	2	yes	—
266	C₂×#6103	C₂³	1	2	yes	—
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	2	yes	—
269	C₂×#6103	C₂³	1	2	yes	—
270	C₂×#6103	C₂³	1	1	yes	characteristic
271	C₂×#6103	C₂³	1	16	yes	complemented
272	#88180	C₂³	1	16	yes	complemented
273	#88180	C₂³	1	8	yes	complemented
274	#88180	C₂³	1	8	yes	complemented
275	#88180	C₂³	1	8	yes	complemented
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	2	yes	—
281	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
282	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
283	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
287	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₁₃	C₂³	1	16	yes	complemented
289	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
290	#88178	C₂³	1	16	yes	complemented
291	C₂×#6101	C₂³	1	1	yes	characteristic
292	C₂×#6101	C₂³	1	1	yes	characteristic
293	C₂×#6101	C₂³	1	2	yes	—
294	C₂×#6101	C₂³	1	2	yes	—
295	C₂×#6101	C₂³	1	2	yes	—
296	C₂×#6101	C₂³	1	1	yes	characteristic
297	C₂×#6101	C₂³	1	2	yes	—
298	C₂×#6101	C₂³	1	2	yes	—
299	C₂×#6101	C₂³	1	2	yes	—
300	C₂×#6101	C₂³	1	1	yes	characteristic
301	C₂×#6101	C₂³	1	16	yes	complemented
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
308	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
309	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
310	#88152	C₂³	1	16	yes	complemented
311	#88152	C₂³	1	16	yes	complemented
312	#88151	C₂³	1	8	yes	complemented
313	#88151	C₂³	1	16	yes	complemented
314	#88147	C₂³	1	8	yes	complemented
315	#88146	C₂³	1	16	yes	complemented
316	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
317	#88144	C₂³	1	8	yes	complemented
318	#88144	C₂³	1	8	yes	complemented
319	#88143	C₂³	1	16	yes	complemented
320	#88142	C₂³	1	8	yes	complemented
321	#88140	C₂³	1	16	yes	complemented
322	#88140	C₂³	1	16	yes	complemented
323	#88139	C₂³	1	16	yes	complemented
324	#88139	C₂³	1	16	yes	complemented
325	#88137	C₂³	1	8	yes	—
326	#88137	C₂³	1	16	yes	—
327	#88137	C₂³	1	16	yes	complemented
328	#88137	C₂³	1	16	yes	complemented
329	#88137	C₂³	1	16	yes	complemented
330	#88137	C₂³	1	16	yes	complemented
331	#88137	C₂³	1	16	yes	complemented
332	#88137	C₂³	1	16	yes	complemented
333	#88137	C₂³	1	8	yes	complemented
334	#88135	C₂³	1	16	yes	complemented
335	#88135	C₂³	1	16	yes	complemented
336	#88135	C₂³	1	16	yes	complemented
337	#88135	C₂³	1	16	yes	complemented
338	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
339	#88133	C₂³	1	8	yes	complemented
340	#88133	C₂³	1	16	yes	complemented
341	#88133	C₂³	1	8	yes	complemented
342	#88133	C₂³	1	16	yes	complemented
343	#88132	C₂³	1	16	yes	complemented
344	#88132	C₂³	1	16	yes	complemented
345	#88132	C₂³	1	16	yes	complemented
346	#88131	C₂³	1	16	yes	complemented
347	C₄×D₅₂	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	C₂×#3513	—	13	1	no	maximal, Sylow
352	C₂⁴×C₁₃	—	2	8	no	—
353	C₂⁴×C₁₃	—	4	4	no	—
354	C₂⁴×C₁₃	—	4	4	no	—
355	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
357	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
359	C₂⁴×C₁₃	C₂⁴	1	8	yes	—
360	C₂³×D₁₃	—	2	8	no	—
361	C₂³×D₁₃	—	2	8	no	—
362	C₂³×D₁₃	—	4	4	no	—
363	C₂³×D₁₃	C₂⁴	1	2	yes	—
364	C₂³×D₁₃	C₂⁴	1	8	yes	—
365	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
366	C₁₃×#41	—	2	32	no	—
367	C₂×Q₈×C₁₃	—	2	4	no	—
368	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
369	C₂×D₄×C₁₃	—	2	8	no	—
370	C₂×D₄×C₁₃	—	2	8	no	—
371	C₂×D₄×C₁₃	—	2	32	no	—
372	C₂×D₄×C₁₃	—	2	4	no	—
373	C₂×D₄×C₁₃	—	4	4	no	—
374	C₂×D₄×C₁₃	—	4	2	no	—
375	C₂×D₄×C₁₃	#41	1	8	yes	complemented
376	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
377	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
378	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
379	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
380	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
381	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
382	C₂²×C₄×C₁₃	—	2	8	no	—
383	C₂²×C₄×C₁₃	—	2	4	no	—
384	C₂²×C₄×C₁₃	—	2	4	no	—
385	C₂²×C₄×C₁₃	—	4	4	no	—
386	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
387	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
393	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
394	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
395	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂×C₂²⋊D₁₃	—	2	8	no	—
398	C₂×C₂²⋊D₁₃	—	2	4	no	—
399	C₂×C₂²⋊D₁₃	—	2	8	no	—
400	C₂×C₂²⋊D₁₃	—	2	4	no	—
401	C₂×C₂²⋊D₁₃	—	4	4	no	—
402	C₂×C₂²⋊D₁₃	—	4	4	no	—
403	C₂×C₂²⋊D₁₃	—	4	4	no	—
404	C₂×C₂²⋊D₁₃	—	4	4	no	—
405	C₂×C₂²⋊D₁₃	—	4	32	no	—
406	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
407	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
409	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
410	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
412	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
413	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
414	C₂²×Dic₁₃	—	4	4	no	—
415	C₂²×Dic₁₃	—	4	4	no	—
416	C₂²×Dic₁₃	—	4	4	no	—
417	C₂²×Dic₁₃	—	4	4	no	—
418	C₂²×Dic₁₃	—	4	4	no	—
419	C₂²×Dic₁₃	—	4	4	no	—
420	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
424	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
427	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
428	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
431	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
432	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
433	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
434	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
435	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
436	#6129	—	4	32	no	—
437	D₄×D₁₃	—	2	32	no	—
438	C₂×D₅₂	—	2	4	no	—
439	C₂×D₅₂	C₂⁴	1	4	yes	—
440	C₂×C₄×D₁₃	—	2	4	no	—
441	C₂×C₄×D₁₃	—	2	8	no	—
442	C₂×C₄×D₁₃	—	2	4	no	—
443	C₂×C₄×D₁₃	—	4	32	no	—
444	C₂×C₄×D₁₃	—	4	4	no	—
445	C₂×C₄×D₁₃	—	4	4	no	—
446	C₂×C₄×D₁₃	—	4	2	no	—
447	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
448	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
449	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
450	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
451	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
452	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
453	C₂×Dic₂₆	—	4	2	no	—
454	C₂×Dic₂₆	—	4	4	no	—
455	C₂×Dic₂₆	C₂⁴	1	4	yes	—
456	C₂×Dic₂₆	C₂⁴	1	8	yes	—
457	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
458	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
459	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
460	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
461	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
462	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
463	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
464	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
465	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
466	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
467	C₄²×C₁₃	C₂⁴	1	4	yes	—
468	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
469	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
470	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
471	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
472	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
473	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
474	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
475	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
476	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
477	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
478	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
479	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
480	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
481	#6103	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	4	yes	—
487	#6103	C₂⁴	1	8	yes	—
488	#6103	C₂⁴	1	8	yes	—
489	#6103	C₂⁴	1	4	yes	—
490	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
491	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
492	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
493	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
494	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
495	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
496	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
497	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
498	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
499	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
500	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
501	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
502	#6101	C₂⁴	1	4	yes	—
503	#6101	C₂⁴	1	4	yes	—
504	#6101	C₂⁴	1	8	yes	—
505	#6101	C₂⁴	1	8	yes	—
506	#6101	C₂⁴	1	8	yes	—
507	#6101	C₂⁴	1	4	yes	—
508	#6101	C₂⁴	1	8	yes	—
509	#6101	C₂⁴	1	8	yes	—
510	#6101	C₂⁴	1	8	yes	—
511	#6101	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	8	yes	—
518	C₄×Dic₁₃	C₂⁴	1	8	yes	—
519	C₄×Dic₁₃	C₂⁴	1	8	yes	—
520	#3513	—	13	32	no	—
521	C₂×#559	—	13	1	no	—
522	C₂×#554	—	13	1	no	—
523	C₂×#553	—	13	2	no	—
524	C₂×#553	—	13	1	no	—
525	C₂×#552	—	13	1	no	—
526	C₂×#551	—	13	2	no	—
527	C₂×#551	—	13	2	no	—
528	C₂×#547	—	13	1	no	—
529	C₂×#546	—	13	1	no	—
530	C₂×#546	—	13	2	no	—
531	C₂×#546	D₁₃	1	1	yes	characteristic, complemented
532	C₂×D₄²	—	13	1	no	—
533	C₂×#542	—	13	1	no	—
534	C₂×#540	—	13	1	no	—
535	C₂×#539	—	13	2	no	—
536	C₂×#538	—	13	2	no	—
537	C₂×#529	—	13	1	no	—
538	C₂×#529	—	13	1	no	—
539	C₂×#525	—	13	2	no	—
540	C₂²×#123	—	13	2	no	—
541	C₂×#520	—	13	1	no	—
542	C₂×#518	—	13	1	no	—
543	C₂²×C₄×D₄	—	13	1	no	—
544	C₂³×C₁₃	—	2	4	no	—
545	C₂³×C₁₃	—	2	4	no	—
546	C₂³×C₁₃	—	2	2	no	—
547	C₂³×C₁₃	—	2	2	no	—
548	C₂³×C₁₃	—	2	4	no	—
549	C₂³×C₁₃	—	2	2	no	—
550	C₂³×C₁₃	—	2	4	no	—
551	C₂³×C₁₃	—	2	2	no	—
552	C₂³×C₁₃	—	2	4	no	—
553	C₂³×C₁₃	—	2	2	no	—
554	C₂³×C₁₃	—	2	2	no	—
555	C₂³×C₁₃	—	2	16	no	—
556	C₂³×C₁₃	—	4	8	no	—
557	C₂³×C₁₃	—	4	8	no	—
558	C₂³×C₁₃	—	8	16	no	—
559	C₂³×C₁₃	C₂×#41	1	8	yes	—
560	C₂³×C₁₃	C₂⁵	1	2	yes	—
561	C₂³×C₁₃	C₂⁵	1	4	yes	—
562	C₂³×C₁₃	C₂⁵	1	2	yes	—
563	C₂³×C₁₃	C₂⁵	1	4	yes	—
564	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
565	C₂²×D₁₃	—	2	2	no	—
566	C₂²×D₁₃	—	2	2	no	—
567	C₂²×D₁₃	—	2	4	no	—
568	C₂²×D₁₃	—	2	16	no	—
569	C₂²×D₁₃	—	2	4	no	—
570	C₂²×D₁₃	—	2	4	no	—
571	C₂²×D₁₃	—	2	16	no	—
572	C₂²×D₁₃	—	4	8	no	—
573	C₂²×D₁₃	—	4	32	no	—
574	C₂²×D₁₃	H(5,𝔽₂)	1	4	yes	—
575	C₂²×D₁₃	C₂⁵	1	4	yes	—
576	C₂²×D₁₃	C₂⁵	1	2	yes	—
577	Q₈×C₁₃	—	2	8	no	—
578	D₄×C₁₃	—	2	16	no	—
579	D₄×C₁₃	—	2	16	no	—
580	D₄×C₁₃	—	2	8	no	—
581	D₄×C₁₃	—	4	8	no	—
582	D₄×C₁₃	—	4	4	no	—
583	D₄×C₁₃	C₂×#41	1	16	yes	complemented
584	C₂×C₄×C₁₃	—	2	2	no	—
585	C₂×C₄×C₁₃	—	2	2	no	—
586	C₂×C₄×C₁₃	—	2	4	no	—
587	C₂×C₄×C₁₃	—	2	16	no	—
588	C₂×C₄×C₁₃	—	2	4	no	—
589	C₂×C₄×C₁₃	—	2	2	no	—
590	C₂×C₄×C₁₃	—	2	2	no	—
591	C₂×C₄×C₁₃	—	2	8	no	—
592	C₂×C₄×C₁₃	—	2	8	no	—
593	C₂×C₄×C₁₃	—	4	8	no	—
594	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
595	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
596	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
597	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
598	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
599	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
600	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
601	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
602	C₂²⋊D₁₃	—	2	16	no	—
603	C₂²⋊D₁₃	—	2	8	no	—
604	C₂²⋊D₁₃	—	2	16	no	—
605	C₂²⋊D₁₃	—	2	8	no	—
606	C₂²⋊D₁₃	—	4	8	no	—
607	C₂²⋊D₁₃	—	4	8	no	—
608	C₂²⋊D₁₃	—	4	8	no	—
609	C₂²⋊D₁₃	—	4	8	no	—
610	C₂×Dic₁₃	—	2	2	no	—
611	C₂×Dic₁₃	—	2	2	no	—
612	C₂×Dic₁₃	—	2	4	no	—
613	C₂×Dic₁₃	—	2	2	no	—
614	C₂×Dic₁₃	—	2	4	no	—
615	C₂×Dic₁₃	—	2	2	no	—
616	C₂×Dic₁₃	—	2	2	no	—
617	C₂×Dic₁₃	—	2	2	no	—
618	C₂×Dic₁₃	—	2	2	no	—
619	C₂×Dic₁₃	—	2	4	no	—
620	C₂×Dic₁₃	—	4	8	no	—
621	C₂×Dic₁₃	—	4	8	no	—
622	C₂×Dic₁₃	—	4	8	no	—
623	C₂×Dic₁₃	—	4	8	no	—
624	C₂×Dic₁₃	—	4	8	no	—
625	C₂×Dic₁₃	—	4	8	no	—
626	C₂×Dic₁₃	C₂⁵	1	2	yes	—
627	C₂×Dic₁₃	C₂⁵	1	2	yes	—
628	C₂×Dic₁₃	C₂⁵	1	2	yes	—
629	C₂×Dic₁₃	C₂⁵	1	4	yes	—
630	C₂×Dic₁₃	C₂⁵	1	2	yes	—
631	C₂×Dic₁₃	C₂⁵	1	2	yes	—
632	C₂×Dic₁₃	C₂⁵	1	4	yes	—
633	C₂×Dic₁₃	C₂⁵	1	4	yes	—
634	C₂×Dic₁₃	C₂⁵	1	2	yes	—
635	C₂×Dic₁₃	C₂⁵	1	2	yes	—
636	D₅₂	—	2	8	no	—
637	C₄×D₁₃	—	2	8	no	—
638	C₄×D₁₃	—	2	16	no	—
639	C₄×D₁₃	—	2	8	no	—
640	C₄×D₁₃	—	4	8	no	—
641	C₄×D₁₃	—	4	8	no	—
642	C₄×D₁₃	—	4	4	no	—
643	Dic₂₆	—	4	4	no	—
644	Dic₂₆	—	4	8	no	—
645	C₂²×#41	—	13	2	no	—
646	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic
647	C₂³×D₄	—	13	2	no	—
648	C₂³×D₄	—	13	1	no	—
649	C₂³×D₄	C₂×D₁₃	1	1	yes	characteristic
650	C₂⁴×C₄	—	13	2	no	—
651	#559	—	13	16	no	—
652	#554	—	13	16	no	—
653	#553	—	13	32	no	—
654	#553	—	13	16	no	—
655	#552	—	13	16	no	—
656	#551	—	13	32	no	—
657	#551	—	13	32	no	—
658	#547	—	13	16	no	—
659	#546	—	13	16	no	—
660	#546	—	13	32	no	—
661	#546	C₂×D₁₃	1	16	yes	complemented
662	D₄²	—	13	16	no	—
663	#542	—	13	16	no	—
664	#540	—	13	16	no	—
665	#539	—	13	32	no	—
666	#538	—	13	32	no	—
667	C₂×C₄⋊Q₈	—	13	1	no	—
668	C₂×#127	—	13	1	no	—
669	#529	—	13	16	no	—
670	#529	—	13	16	no	—
671	C₂×#126	—	13	2	no	—
672	C₂×#126	—	13	2	no	—
673	C₂×#126	—	13	2	no	—
674	C₂×#126	—	13	1	no	—
675	C₂×#126	—	13	1	no	—
676	C₂×#126	—	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×#124	—	13	1	no	—
682	C₂×#124	—	13	1	no	—
683	C₂×#124	—	13	2	no	—
684	C₂×#124	—	13	2	no	—
685	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
686	#525	—	13	32	no	—
687	C₂×#123	—	13	2	no	—
688	C₂×#123	—	13	2	no	—
689	C₂×#123	—	13	1	no	—
690	C₂×#123	—	13	2	no	—
691	C₂×#123	—	13	2	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	—	13	1	no	—
698	C₂×#123	—	13	2	no	—
699	C₂×#123	—	13	2	no	—
700	C₂×#123	—	13	32	no	—
701	C₂×#123	C₂×D₁₃	1	2	yes	complemented
702	C₂×C₂²⋊Q₈	—	13	1	no	—
703	C₂×C₂²⋊Q₈	—	13	2	no	—
704	C₂×C₂²⋊Q₈	—	13	2	no	—
705	C₂×C₂²⋊Q₈	—	13	1	no	—
706	C₂×C₂²⋊Q₈	—	13	2	no	—
707	C₂×C₂²⋊Q₈	—	13	2	no	—
708	C₂×C₂²⋊Q₈	—	13	2	no	—
709	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
710	C₂×#121	—	13	1	no	—
711	C₂×#121	—	13	1	no	—
712	C₂×#121	—	13	2	no	—
713	C₂×#121	—	13	2	no	—
714	C₂×#121	—	13	2	no	—
715	C₂×#121	—	13	2	no	—
716	C₂×#121	—	13	2	no	—
717	C₂×#121	—	13	1	no	—
718	C₂×#121	—	13	1	no	—
719	C₂×#121	C₂×D₁₃	1	2	yes	complemented
720	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
721	C₂×#120	—	13	2	no	—
722	C₂×#120	—	13	2	no	—
723	C₂×#120	—	13	2	no	—
724	C₂×#120	C₂×D₁₃	1	2	yes	complemented
725	#520	—	13	16	no	—
726	#518	—	13	16	no	—
727	C₂×C₄×Q₈	—	13	1	no	—
728	C₂×C₄×Q₈	—	13	1	no	—
729	C₂×C₄×Q₈	—	13	1	no	—
730	C₂×C₄×D₄	—	13	1	no	—
731	C₂×C₄×D₄	—	13	1	no	—
732	C₂×C₄×D₄	—	13	1	no	—
733	C₂×C₄×D₄	—	13	2	no	—
734	C₂×C₄×D₄	—	13	1	no	—
735	C₂×C₄×D₄	—	13	1	no	—
736	C₂×C₄×D₄	—	13	2	no	—
737	C₂×C₄×D₄	—	13	2	no	—
738	C₂×C₄×D₄	—	13	2	no	—
739	C₂×C₄×D₄	—	13	1	no	—
740	C₂×C₄×D₄	—	13	2	no	—
741	C₂×C₄×D₄	—	13	1	no	—
742	C₂×C₄×D₄	—	13	16	no	—
743	C₂×C₄×D₄	—	13	1	no	—
744	C₂×C₄×D₄	—	13	2	no	—
745	C₂×C₄×D₄	—	13	2	no	—
746	C₂×C₄×D₄	—	13	2	no	—
747	C₂×C₄×D₄	—	13	2	no	—
748	C₂×C₄×D₄	—	13	1	no	—
749	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
750	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
751	C₂×#117	—	13	1	no	—
752	C₂×#117	—	13	1	no	—
753	C₂×#117	—	13	1	no	—
754	C₂×#117	—	13	2	no	—
755	C₂×#117	—	13	2	no	—
756	C₂×#117	—	13	2	no	—
757	C₂²×C₄⋊C₄	—	13	2	no	—
758	C₂²×C₄⋊C₄	—	13	2	no	—
759	C₂²×C₄⋊C₄	—	13	1	no	—
760	C₂²×C₄⋊C₄	—	13	1	no	—
761	C₂²×C₂²⋊C₄	—	13	2	no	—
762	C₂²×C₂²⋊C₄	—	13	2	no	—
763	C₂²×C₂²⋊C₄	—	13	2	no	—
764	C₂²×C₂²⋊C₄	—	13	2	no	—
765	C₂²×C₂²⋊C₄	C₂×D₁₃	1	2	yes	complemented
766	C₂²×C₄²	—	13	1	no	—
767	C₂²×C₁₃	—	2	4	no	—
768	C₂²×C₁₃	—	2	4	no	—
769	C₂²×C₁₃	—	2	16	no	—
770	C₂²×C₁₃	—	2	2	no	—
771	C₂²×C₁₃	—	2	2	no	—
772	C₂²×C₁₃	—	2	4	no	—
773	C₂²×C₁₃	—	2	2	no	—
774	C₂²×C₁₃	—	2	4	no	—
775	C₂²×C₁₃	—	2	2	no	—
776	C₂²×C₁₃	—	2	4	no	—
777	C₂²×C₁₃	—	2	2	no	—
778	C₂²×C₁₃	—	2	2	no	—
779	C₂²×C₁₃	—	4	4	no	—
780	C₂²×C₁₃	—	4	8	no	—
781	C₂²×C₁₃	—	4	4	no	—
782	C₂²×C₁₃	—	8	16	no	—
783	C₂²×C₁₃	C₂²×#41	1	8	yes	—
784	C₂²×C₁₃	C₂²×#41	1	2	yes	—
785	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
786	C₂²×C₁₃	#585	1	2	yes	—
787	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
788	C₂×D₁₃	—	2	2	no	—
789	C₂×D₁₃	—	2	2	no	—
790	C₂×D₁₃	—	2	8	no	—
791	C₂×D₁₃	—	2	4	no	—
792	C₂×D₁₃	—	2	4	no	—
793	C₂×D₁₃	—	2	4	no	—
794	C₂×D₁₃	—	4	32	no	—
795	C₂×D₁₃	—	4	8	no	—
796	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
797	C₄×C₁₃	—	2	2	no	—
798	C₄×C₁₃	—	2	2	no	—
799	C₄×C₁₃	—	2	4	no	—
800	C₄×C₁₃	—	2	4	no	—
801	C₄×C₁₃	—	2	2	no	—
802	C₄×C₁₃	—	2	2	no	—
803	C₄×C₁₃	C₂²×#41	1	4	yes	—
804	Dic₁₃	—	2	2	no	—
805	Dic₁₃	—	2	2	no	—
806	Dic₁₃	—	2	4	no	—
807	Dic₁₃	—	2	2	no	—
808	Dic₁₃	—	2	4	no	—
809	Dic₁₃	—	2	2	no	—
810	Dic₁₃	—	2	2	no	—
811	Dic₁₃	—	2	2	no	—
812	Dic₁₃	—	2	2	no	—
813	Dic₁₃	—	2	4	no	—
814	C₂⁵	—	13	2	no	—
815	C₂⁵	C₂²×D₁₃	1	2	yes	—
816	C₂×#41	—	2	8	no	—
817	C₂×#41	—	13	16	no	—
818	C₂×#41	—	52	8	no	—
819	C₂×#41	C₂²×D₁₃	1	8	yes	—
820	C₂²×Q₈	—	13	1	no	—
821	C₂²×Q₈	—	13	2	no	—
822	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
823	C₂²×D₄	—	2	8	no	—
824	C₂²×D₄	—	13	2	no	—
825	C₂²×D₄	—	13	1	no	—
826	C₂²×D₄	—	13	2	no	—
827	C₂²×D₄	—	13	1	no	—
828	C₂²×D₄	—	13	2	no	—
829	C₂²×D₄	—	13	2	no	—
830	C₂²×D₄	—	13	2	no	—
831	C₂²×D₄	—	13	2	no	—
832	C₂²×D₄	—	13	16	no	—
833	C₂²×D₄	—	13	8	no	—
834	C₂²×D₄	—	13	1	no	—
835	C₂²×D₄	—	26	8	no	—
836	C₂²×D₄	—	52	8	no	—
837	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
838	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
839	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
840	C₂²×D₄	C₂²×D₁₃	1	8	yes	—
841	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
842	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
843	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
844	C₂³×C₄	—	13	2	no	—
845	C₂³×C₄	—	13	2	no	—
846	C₂³×C₄	—	13	2	no	—
847	C₂³×C₄	—	13	2	no	—
848	C₂³×C₄	—	13	2	no	—
849	C₂³×C₄	—	13	2	no	—
850	C₂³×C₄	—	13	2	no	—
851	C₂³×C₄	—	13	1	no	—
852	C₂³×C₄	—	13	1	no	—
853	C₂³×C₄	—	13	1	no	—
854	C₂³×C₄	—	13	2	no	—
855	C₂³×C₄	—	13	2	no	—
856	C₂³×C₄	—	13	16	no	—
857	C₂³×C₄	—	52	8	no	—
858	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
859	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
860	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
861	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
862	C₄⋊Q₈	—	13	8	no	—
863	#127	—	13	8	no	—
864	#126	—	13	16	no	—
865	#126	—	13	16	no	—
866	#126	—	13	16	no	—
867	#126	—	13	8	no	—
868	#126	—	13	8	no	—
869	#126	—	13	16	no	—
870	#125	—	13	8	no	—
871	#125	—	13	16	no	—
872	#125	—	13	8	no	—
873	#125	—	13	8	no	—
874	#124	—	13	8	no	—
875	#124	—	13	8	no	—
876	#124	—	13	16	no	—
877	#124	—	13	16	no	—
878	#124	C₂²×D₁₃	1	8	yes	complemented
879	#123	—	13	16	no	—
880	#123	—	13	16	no	—
881	#123	—	13	8	no	—
882	#123	—	13	16	no	—
883	#123	—	13	16	no	—
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	8	no	—
890	#123	—	13	16	no	—
891	#123	—	13	16	no	—
892	#123	C₂²×D₁₃	1	16	yes	complemented
893	C₂²⋊Q₈	—	13	8	no	—
894	C₂²⋊Q₈	—	13	16	no	—
895	C₂²⋊Q₈	—	13	16	no	—
896	C₂²⋊Q₈	—	13	8	no	—
897	C₂²⋊Q₈	—	13	16	no	—
898	C₂²⋊Q₈	—	13	16	no	—
899	C₂²⋊Q₈	—	13	16	no	—
900	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
901	#121	—	13	16	no	—
902	#121	—	13	8	no	—
903	#121	—	13	8	no	—
904	#121	—	13	16	no	—
905	#121	—	13	16	no	—
906	#121	—	13	16	no	—
907	#121	—	13	16	no	—
908	#121	—	13	8	no	—
909	#121	—	13	8	no	—
910	#121	C₂²×D₁₃	1	16	yes	complemented
911	#121	C₂²×D₁₃	1	8	yes	complemented
912	#120	—	13	16	no	—
913	#120	—	13	16	no	—
914	#120	—	13	16	no	—
915	#120	C₂²×D₁₃	1	16	yes	complemented
916	C₄×Q₈	—	13	8	no	—
917	C₄×Q₈	—	13	8	no	—
918	C₄×Q₈	—	13	8	no	—
919	C₄×D₄	—	13	8	no	—
920	C₄×D₄	—	13	16	no	—
921	C₄×D₄	—	13	8	no	—
922	C₄×D₄	—	13	8	no	—
923	C₄×D₄	—	13	8	no	—
924	C₄×D₄	—	13	16	no	—
925	C₄×D₄	—	13	16	no	—
926	C₄×D₄	—	13	8	no	—
927	C₄×D₄	—	13	16	no	—
928	C₄×D₄	—	13	16	no	—
929	C₄×D₄	—	13	8	no	—
930	C₄×D₄	—	13	8	no	—
931	C₄×D₄	—	13	8	no	—
932	C₄×D₄	—	13	16	no	—
933	C₄×D₄	—	13	16	no	—
934	C₄×D₄	—	13	16	no	—
935	C₄×D₄	—	13	16	no	—
936	C₄×D₄	—	13	8	no	—
937	C₄×D₄	C₂²×D₁₃	1	8	yes	—
938	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
939	#117	—	13	8	no	—
940	#117	—	13	8	no	—
941	#117	—	13	8	no	—
942	#117	—	13	16	no	—
943	#117	—	13	16	no	—
944	#117	—	13	16	no	—
945	C₂×C₄⋊C₄	—	13	1	no	—
946	C₂×C₄⋊C₄	—	13	2	no	—
947	C₂×C₄⋊C₄	—	13	1	no	—
948	C₂×C₄⋊C₄	—	13	1	no	—
949	C₂×C₄⋊C₄	—	13	2	no	—
950	C₂×C₄⋊C₄	—	13	2	no	—
951	C₂×C₄⋊C₄	—	13	1	no	—
952	C₂×C₄⋊C₄	—	13	2	no	—
953	C₂×C₄⋊C₄	—	13	2	no	—
954	C₂×C₄⋊C₄	—	13	16	no	—
955	C₂×C₄⋊C₄	—	13	8	no	—
956	C₂×C₄⋊C₄	—	13	2	no	—
957	C₂×C₄⋊C₄	—	13	2	no	—
958	C₂×C₄⋊C₄	—	13	16	no	—
959	C₂×C₄⋊C₄	—	13	1	no	—
960	C₂×C₄⋊C₄	—	13	1	no	—
961	C₂×C₄⋊C₄	—	13	1	no	—
962	C₂×C₄⋊C₄	—	13	1	no	—
963	C₂×C₄⋊C₄	—	13	2	no	—
964	C₂×C₄⋊C₄	—	13	2	no	—
965	C₂×C₄⋊C₄	—	13	1	no	—
966	C₂×C₄⋊C₄	—	13	1	no	—
967	C₂×C₄⋊C₄	—	13	2	no	—
968	C₂×C₄⋊C₄	—	13	1	no	—
969	C₂×C₄⋊C₄	—	13	1	no	—
970	C₂×C₄⋊C₄	—	13	8	no	—
971	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
972	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
973	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
974	C₂×C₂²⋊C₄	—	13	2	no	—
975	C₂×C₂²⋊C₄	—	13	2	no	—
976	C₂×C₂²⋊C₄	—	13	1	no	—
977	C₂×C₂²⋊C₄	—	13	1	no	—
978	C₂×C₂²⋊C₄	—	13	2	no	—
979	C₂×C₂²⋊C₄	—	13	2	no	—
980	C₂×C₂²⋊C₄	—	13	2	no	—
981	C₂×C₂²⋊C₄	—	13	16	no	—
982	C₂×C₂²⋊C₄	—	13	16	no	—
983	C₂×C₂²⋊C₄	—	13	2	no	—
984	C₂×C₂²⋊C₄	—	13	1	no	—
985	C₂×C₂²⋊C₄	—	13	1	no	—
986	C₂×C₂²⋊C₄	—	13	2	no	—
987	C₂×C₂²⋊C₄	—	13	1	no	—
988	C₂×C₂²⋊C₄	—	13	1	no	—
989	C₂×C₂²⋊C₄	—	13	1	no	—
990	C₂×C₂²⋊C₄	—	13	2	no	—
991	C₂×C₂²⋊C₄	—	13	2	no	—
992	C₂×C₂²⋊C₄	—	13	2	no	—
993	C₂×C₂²⋊C₄	—	13	2	no	—
994	C₂×C₂²⋊C₄	—	13	2	no	—
995	C₂×C₂²⋊C₄	—	13	16	no	—
996	C₂×C₂²⋊C₄	—	13	1	no	—
997	C₂×C₂²⋊C₄	—	13	2	no	—
998	C₂×C₂²⋊C₄	—	13	2	no	—
999	C₂×C₂²⋊C₄	—	13	16	no	—
1000	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1001	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1002	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1003	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1004	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1005	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1006	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1007	C₂×C₂²⋊C₄	C₂²×D₁₃	1	16	yes	complemented
1008	C₂×C₄²	—	13	1	no	—
1009	C₂×C₄²	—	13	2	no	—
1010	C₂×C₄²	—	13	2	no	—
1011	C₂×C₄²	—	13	2	no	—
1012	C₂×C₄²	—	13	1	no	—
1013	C₂×C₄²	—	13	1	no	—
1014	C₂×C₄²	—	13	1	no	—
1015	C₂×C₄²	—	13	1	no	—
1016	C₂×C₄²	—	13	8	no	—
1017	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₁₃	—	2	8	no	—
1019	C₂×C₁₃	—	4	2	no	—
1020	C₂×C₁₃	—	4	4	no	—
1021	C₂×C₁₃	—	4	2	no	—
1022	C₂×C₁₃	#3513	1	4	yes	complemented
1023	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1024	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1025	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1026	D₁₃	—	2	4	no	—
1027	D₁₃	—	4	4	no	—
1028	C₂⁴	—	2	8	no	—
1029	C₂⁴	—	4	4	no	—
1030	C₂⁴	—	4	4	no	—
1031	C₂⁴	—	13	1	no	—
1032	C₂⁴	—	13	2	no	—
1033	C₂⁴	—	13	8	no	—
1034	C₂⁴	—	26	8	no	—
1035	C₂⁴	—	26	8	no	—
1036	C₂⁴	—	52	4	no	—
1037	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1038	C₂⁴	C₂³×D₁₃	1	2	yes	—
1039	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1040	C₂⁴	C₂³×D₁₃	1	2	yes	—
1041	C₂⁴	C₂³×D₁₃	1	8	yes	—
1042	#41	—	2	32	no	—
1043	#41	—	52	32	no	—
1044	C₂×Q₈	—	2	4	no	—
1045	C₂×Q₈	—	13	4	no	—
1046	C₂×Q₈	—	13	8	no	—
1047	C₂×Q₈	—	52	4	no	—
1048	C₂×Q₈	—	52	2	no	—
1049	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1050	C₂×D₄	—	2	8	no	—
1051	C₂×D₄	—	2	8	no	—
1052	C₂×D₄	—	2	32	no	—
1053	C₂×D₄	—	2	4	no	—
1054	C₂×D₄	—	4	4	no	—
1055	C₂×D₄	—	4	2	no	—
1056	C₂×D₄	—	13	8	no	—
1057	C₂×D₄	—	13	4	no	—
1058	C₂×D₄	—	13	8	no	—
1059	C₂×D₄	—	13	4	no	—
1060	C₂×D₄	—	13	8	no	—
1061	C₂×D₄	—	13	8	no	—
1062	C₂×D₄	—	13	8	no	—
1063	C₂×D₄	—	13	8	no	—
1064	C₂×D₄	—	13	4	no	—
1065	C₂×D₄	—	26	4	no	—
1066	C₂×D₄	—	26	8	no	—
1067	C₂×D₄	—	26	4	no	—
1068	C₂×D₄	—	26	8	no	—
1069	C₂×D₄	—	26	32	no	—
1070	C₂×D₄	—	26	4	no	—
1071	C₂×D₄	—	52	4	no	—
1072	C₂×D₄	—	52	4	no	—
1073	C₂×D₄	—	52	4	no	—
1074	C₂×D₄	—	52	4	no	—
1075	C₂×D₄	—	52	32	no	—
1076	C₂×D₄	#6129	1	8	yes	complemented
1077	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1078	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1079	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1080	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1081	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1082	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1083	C₂²×C₄	—	2	8	no	—
1084	C₂²×C₄	—	2	4	no	—
1085	C₂²×C₄	—	2	4	no	—
1086	C₂²×C₄	—	4	4	no	—
1087	C₂²×C₄	—	13	1	no	—
1088	C₂²×C₄	—	13	1	no	—
1089	C₂²×C₄	—	13	1	no	—
1090	C₂²×C₄	—	13	1	no	—
1091	C₂²×C₄	—	13	2	no	—
1092	C₂²×C₄	—	13	1	no	—
1093	C₂²×C₄	—	13	2	no	—
1094	C₂²×C₄	—	13	1	no	—
1095	C₂²×C₄	—	13	2	no	—
1096	C₂²×C₄	—	13	1	no	—
1097	C₂²×C₄	—	13	8	no	—
1098	C₂²×C₄	—	13	8	no	—
1099	C₂²×C₄	—	13	8	no	—
1100	C₂²×C₄	—	13	8	no	—
1101	C₂²×C₄	—	13	8	no	—
1102	C₂²×C₄	—	13	8	no	—
1103	C₂²×C₄	—	13	4	no	—
1104	C₂²×C₄	—	13	4	no	—
1105	C₂²×C₄	—	13	8	no	—
1106	C₂²×C₄	—	13	4	no	—
1107	C₂²×C₄	—	13	8	no	—
1108	C₂²×C₄	—	13	8	no	—
1109	C₂²×C₄	—	26	4	no	—
1110	C₂²×C₄	—	26	8	no	—
1111	C₂²×C₄	—	26	4	no	—
1112	C₂²×C₄	—	52	4	no	—
1113	C₂²×C₄	—	52	4	no	—
1114	C₂²×C₄	—	52	2	no	—
1115	C₂²×C₄	—	52	32	no	—
1116	C₂²×C₄	—	52	4	no	—
1117	C₂²×C₄	—	52	4	no	—
1118	C₂²×C₄	—	52	4	no	—
1119	C₂²×C₄	—	52	4	no	—
1120	C₂²×C₄	—	52	4	no	—
1121	C₂²×C₄	—	52	4	no	—
1122	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1123	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1124	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1125	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1126	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1127	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1128	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1130	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1131	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1132	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1133	C₄⋊C₄	—	13	4	no	—
1134	C₄⋊C₄	—	13	8	no	—
1135	C₄⋊C₄	—	13	4	no	—
1136	C₄⋊C₄	—	13	4	no	—
1137	C₄⋊C₄	—	13	8	no	—
1138	C₄⋊C₄	—	13	8	no	—
1139	C₄⋊C₄	—	13	4	no	—
1140	C₄⋊C₄	—	13	8	no	—
1141	C₄⋊C₄	—	13	8	no	—
1142	C₄⋊C₄	—	13	8	no	—
1143	C₄⋊C₄	—	13	8	no	—
1144	C₄⋊C₄	—	13	4	no	—
1145	C₄⋊C₄	—	13	4	no	—
1146	C₄⋊C₄	—	13	4	no	—
1147	C₄⋊C₄	—	13	4	no	—
1148	C₄⋊C₄	—	13	8	no	—
1149	C₄⋊C₄	—	13	8	no	—
1150	C₄⋊C₄	—	13	4	no	—
1151	C₄⋊C₄	—	13	4	no	—
1152	C₄⋊C₄	—	13	8	no	—
1153	C₄⋊C₄	—	13	4	no	—
1154	C₄⋊C₄	—	13	4	no	—
1155	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1156	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1157	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1158	C₂²⋊C₄	—	13	8	no	—
1159	C₂²⋊C₄	—	13	8	no	—
1160	C₂²⋊C₄	—	13	4	no	—
1161	C₂²⋊C₄	—	13	4	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	4	no	—
1167	C₂²⋊C₄	—	13	4	no	—
1168	C₂²⋊C₄	—	13	8	no	—
1169	C₂²⋊C₄	—	13	4	no	—
1170	C₂²⋊C₄	—	13	4	no	—
1171	C₂²⋊C₄	—	13	4	no	—
1172	C₂²⋊C₄	—	13	8	no	—
1173	C₂²⋊C₄	—	13	8	no	—
1174	C₂²⋊C₄	—	13	8	no	—
1175	C₂²⋊C₄	—	13	8	no	—
1176	C₂²⋊C₄	—	13	8	no	—
1177	C₂²⋊C₄	—	13	4	no	—
1178	C₂²⋊C₄	—	13	8	no	—
1179	C₂²⋊C₄	—	13	8	no	—
1180	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1181	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1182	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1183	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1184	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1185	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1186	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1187	C₄²	—	13	4	no	—
1188	C₄²	—	13	4	no	—
1189	C₄²	—	13	4	no	—
1190	C₄²	—	13	8	no	—
1191	C₄²	—	13	8	no	—
1192	C₄²	—	13	8	no	—
1193	C₄²	—	13	4	no	—
1194	C₄²	—	13	4	no	—
1195	C₄²	C₂³×D₁₃	1	4	yes	—
1196	C₁₃	C₂×#3513	1	1	yes	characteristic, complemented, Sylow
1197	C₂³	—	2	4	no	—
1198	C₂³	—	2	4	no	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	2	no	—
1201	C₂³	—	2	4	no	—
1202	C₂³	—	2	4	no	—
1203	C₂³	—	2	2	no	—
1204	C₂³	—	2	2	no	—
1205	C₂³	—	2	2	no	—
1206	C₂³	—	2	4	no	—
1207	C₂³	—	2	2	no	—
1208	C₂³	—	2	16	no	—
1209	C₂³	—	4	8	no	—
1210	C₂³	—	4	8	no	—
1211	C₂³	—	8	16	no	—
1212	C₂³	—	13	4	no	—
1213	C₂³	—	13	2	no	—
1214	C₂³	—	13	4	no	—
1215	C₂³	—	26	16	no	—
1216	C₂³	—	26	2	no	—
1217	C₂³	—	26	2	no	—
1218	C₂³	—	26	16	no	—
1219	C₂³	—	26	4	no	—
1220	C₂³	—	26	4	no	—
1221	C₂³	—	26	4	no	—
1222	C₂³	—	52	8	no	—
1223	C₂³	—	52	32	no	—
1224	C₂³	C₂×#6129	1	8	yes	—
1225	C₂³	C₂⁴×D₁₃	1	2	yes	—
1226	C₂³	C₂⁴×D₁₃	1	4	yes	—
1227	C₂³	C₂⁴×D₁₃	1	2	yes	—
1228	C₂³	C₂⁴×D₁₃	1	4	yes	—
1229	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1230	Q₈	—	2	8	no	—
1231	Q₈	—	52	4	no	—
1232	Q₈	—	52	8	no	—
1233	D₄	—	2	16	no	—
1234	D₄	—	2	16	no	—
1235	D₄	—	2	8	no	—
1236	D₄	—	4	4	no	—
1237	D₄	—	4	8	no	—
1238	D₄	—	26	8	no	—
1239	D₄	—	26	16	no	—
1240	D₄	—	26	8	no	—
1241	D₄	—	26	16	no	—
1242	D₄	—	26	8	no	—
1243	D₄	—	52	8	no	—
1244	D₄	—	52	8	no	—
1245	D₄	—	52	8	no	—
1246	D₄	—	52	8	no	—
1247	D₄	C₂×#6129	1	16	yes	complemented
1248	C₂×C₄	—	2	2	no	—
1249	C₂×C₄	—	2	2	no	—
1250	C₂×C₄	—	2	4	no	—
1251	C₂×C₄	—	2	16	no	—
1252	C₂×C₄	—	2	2	no	—
1253	C₂×C₄	—	2	2	no	—
1254	C₂×C₄	—	2	4	no	—
1255	C₂×C₄	—	2	8	no	—
1256	C₂×C₄	—	2	8	no	—
1257	C₂×C₄	—	4	8	no	—
1258	C₂×C₄	—	13	2	no	—
1259	C₂×C₄	—	13	2	no	—
1260	C₂×C₄	—	13	2	no	—
1261	C₂×C₄	—	13	2	no	—
1262	C₂×C₄	—	13	4	no	—
1263	C₂×C₄	—	13	2	no	—
1264	C₂×C₄	—	13	4	no	—
1265	C₂×C₄	—	13	2	no	—
1266	C₂×C₄	—	13	4	no	—
1267	C₂×C₄	—	13	2	no	—
1268	C₂×C₄	—	26	8	no	—
1269	C₂×C₄	—	26	16	no	—
1270	C₂×C₄	—	26	2	no	—
1271	C₂×C₄	—	26	2	no	—
1272	C₂×C₄	—	26	4	no	—
1273	C₂×C₄	—	26	2	no	—
1274	C₂×C₄	—	26	2	no	—
1275	C₂×C₄	—	26	2	no	—
1276	C₂×C₄	—	26	4	no	—
1277	C₂×C₄	—	26	2	no	—
1278	C₂×C₄	—	26	4	no	—
1279	C₂×C₄	—	26	2	no	—
1280	C₂×C₄	—	26	8	no	—
1281	C₂×C₄	—	52	4	no	—
1282	C₂×C₄	—	52	8	no	—
1283	C₂×C₄	—	52	8	no	—
1284	C₂×C₄	—	52	8	no	—
1285	C₂×C₄	—	52	8	no	—
1286	C₂×C₄	—	52	8	no	—
1287	C₂×C₄	—	52	8	no	—
1288	C₂×C₄	—	52	8	no	—
1289	C₂×C₄	—	52	8	no	—
1290	C₂×C₄	C₂×#6129	1	4	yes	—
1291	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1292	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1293	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1294	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1295	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1296	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1297	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1298	C₂²	—	2	16	no	—
1299	C₂²	—	2	4	no	—
1300	C₂²	—	2	4	no	—
1301	C₂²	—	2	2	no	—
1302	C₂²	—	2	2	no	—
1303	C₂²	—	2	4	no	—
1304	C₂²	—	2	2	no	—
1305	C₂²	—	2	4	no	—
1306	C₂²	—	2	2	no	—
1307	C₂²	—	2	4	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	2	2	no	—
1310	C₂²	—	4	4	no	—
1311	C₂²	—	4	8	no	—
1312	C₂²	—	4	4	no	—
1313	C₂²	—	8	16	no	—
1314	C₂²	—	13	4	no	—
1315	C₂²	—	26	8	no	—
1316	C₂²	—	26	2	no	—
1317	C₂²	—	26	2	no	—
1318	C₂²	—	26	4	no	—
1319	C₂²	—	26	4	no	—
1320	C₂²	—	26	4	no	—
1321	C₂²	—	52	32	no	—
1322	C₂²	—	52	8	no	—
1323	C₂²	C₂²×#6129	1	8	yes	—
1324	C₂²	C₂²×#6129	1	2	yes	—
1325	C₂²	#11719648	1	2	yes	—
1326	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1327	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1328	C₄	—	2	2	no	—
1329	C₄	—	2	2	no	—
1330	C₄	—	2	4	no	—
1331	C₄	—	2	2	no	—
1332	C₄	—	2	4	no	—
1333	C₄	—	2	2	no	—
1334	C₄	—	26	2	no	—
1335	C₄	—	26	2	no	—
1336	C₄	—	26	4	no	—
1337	C₄	—	26	2	no	—
1338	C₄	—	26	4	no	—
1339	C₄	—	26	2	no	—
1340	C₄	—	26	2	no	—
1341	C₄	—	26	4	no	—
1342	C₄	—	26	2	no	—
1343	C₄	—	26	2	no	—
1344	C₄	C₂²×#6129	1	4	yes	—
1345	C₂	—	2	8	no	—
1346	C₂	—	4	2	no	—
1347	C₂	—	4	4	no	—
1348	C₂	—	4	2	no	—
1349	C₂	—	26	4	no	—
1350	C₂	—	52	4	no	—
1351	C₂	#13128765	1	4	yes	direct product factor
1352	C₂	C₂³×#6129	1	1	yes	characteristic
1353	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1354	C₂	C₂×#11719648	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#546	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#546	D₁₃
hypocenter	C₁₃	C₂×#3513
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#546

Complements

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

N	H ≅ G/N	type
1. #13128765	C₂	direct (N × H)
2. C₂×#11719386	C₂	semidirect
3. C₂×#11719244	C₂	semidirect
4. C₂×#11719270	C₂	semidirect
5. C₂×#11719306	C₂	semidirect
6. C₂×#11719344	C₂	semidirect
7. C₂×#11719200	C₂	semidirect
8. C₂×#11719363	C₂	semidirect
9. C₂×#11719316	C₂	semidirect
10. C₂×#11719534	C₂	semidirect
11. C₂×#11719296	C₂	semidirect
12. C₂×D₄×C₂²⋊D₁₃	C₂	semidirect
13. C₂×#11719348	C₂	semidirect
14. C₂×#11719324	C₂	semidirect
15. C₂×#11719370	C₂	semidirect
16. C₂×#11719298	C₂	semidirect
17. C₂×#11719262	C₂	semidirect
18. C₂×#11719385	C₂	semidirect
19. C₂×#11719311	C₂	semidirect
20. C₂²×#88137	C₂	semidirect
21. C₂×#11719532	C₂	semidirect
22. C₂×#11719503	C₂	semidirect
23. C₂×C₄×D₄×D₁₃	C₂	semidirect
24. C₂×C₁₃×#546	C₂	semidirect
28. C₂²×#6129	C₂²	semidirect
30. C₂³×C₄×D₁₃	C₂²	semidirect
31. C₁₃×#546	C₂²	semidirect
32. C₂×C₁₃×#124	C₂²	semidirect
33. C₂×C₁₃×#123	C₂²	semidirect
34. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
35. C₂×C₁₃×#121	C₂²	semidirect
36. C₂×C₁₃×#121	C₂²	semidirect
37. C₂×C₁₃×#120	C₂²	semidirect
39. C₂×C₄×D₄×C₁₃	C₂²	semidirect
40. C₂²×C₁₃×C₂²⋊C₄	C₂²	semidirect
42. C₂²×C₂²⋊Dic₁₃	C₂²	semidirect
43. C₂²×C₂²⋊Dic₁₃	C₂²	semidirect
44. #11719534	C₂²	semidirect
45. #11719532	C₂²	semidirect
46. C₂×#88201	C₂²	semidirect
47. C₂×#88200	C₂²	semidirect
48. C₂×Q₈×Dic₁₃	C₂²	semidirect
49. C₂×Q₈×Dic₁₃	C₂²	semidirect
52. C₂×#88193	C₂²	semidirect
53. C₂×#88193	C₂²	semidirect
54. C₂×#88193	C₂²	semidirect
55. D₄×C₂²⋊D₁₃	C₂²	semidirect
58. C₂×#88192	C₂²	semidirect
60. C₂×#88191	C₂²	semidirect
61. #11719503	C₂²	semidirect
62. C₂×#88190	C₂²	semidirect
63. C₂×#88189	C₂²	semidirect
67. C₂×D₄×Dic₁₃	C₂²	semidirect
68. C₂×D₄×Dic₁₃	C₂²	semidirect
69. C₂×D₄×Dic₁₃	C₂²	semidirect
70. C₂×D₄×Dic₁₃	C₂²	semidirect
71. C₂×D₄×Dic₁₃	C₂²	semidirect
72. C₂×D₄×Dic₁₃	C₂²	semidirect
74. C₂×#88184	C₂²	semidirect
75. C₂×#88183	C₂²	semidirect
77. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
78. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
79. C₂²×#6103	C₂²	semidirect
80. C₂×#88180	C₂²	semidirect
81. C₂×#88180	C₂²	semidirect
82. C₂×#88180	C₂²	semidirect
83. C₂×#88180	C₂²	semidirect
84. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
85. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
86. C₂×#88178	C₂²	semidirect
87. C₂²×#6101	C₂²	semidirect
88. #11719386	C₂²	semidirect
89. #11719385	C₂²	semidirect
90. #11719370	C₂²	semidirect
91. #11719363	C₂²	semidirect
92. #11719348	C₂²	semidirect
93. #11719344	C₂²	semidirect
94. #11719324	C₂²	semidirect
95. #11719316	C₂²	semidirect
96. #11719311	C₂²	semidirect
97. #11719306	C₂²	semidirect
98. #11719298	C₂²	semidirect
99. #11719296	C₂²	semidirect
100. #11719270	C₂²	semidirect
101. #11719262	C₂²	semidirect
102. C₄×D₄×D₁₃	C₂²	semidirect
103. #11719244	C₂²	semidirect
104. C₂×#88152	C₂²	semidirect
105. C₂×#88152	C₂²	semidirect
106. C₂×#88151	C₂²	semidirect
107. C₂×#88151	C₂²	semidirect
108. C₂×#88147	C₂²	semidirect
109. C₂×#88146	C₂²	semidirect
110. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
111. C₂×#88144	C₂²	semidirect
112. C₂×#88144	C₂²	semidirect
113. C₂×#88143	C₂²	semidirect
114. C₂×#88142	C₂²	semidirect
115. #11719200	C₂²	semidirect
116. C₂×#88140	C₂²	semidirect
117. C₂×#88140	C₂²	semidirect
118. C₂×#88139	C₂²	semidirect
119. C₂×#88139	C₂²	semidirect
122. C₂×#88137	C₂²	semidirect
123. C₂×#88137	C₂²	semidirect
124. C₂×#88137	C₂²	semidirect
125. C₂×#88137	C₂²	semidirect
126. C₂×#88137	C₂²	semidirect
127. C₂×#88137	C₂²	semidirect
128. C₂×#88137	C₂²	semidirect
129. C₂×#88137	C₂²	semidirect
130. C₂×#88135	C₂²	semidirect
131. C₂×#88135	C₂²	semidirect
132. C₂×#88135	C₂²	semidirect
133. C₂×#88135	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
135. C₂×#88133	C₂²	semidirect
136. C₂×#88133	C₂²	semidirect
137. C₂×#88133	C₂²	semidirect
138. C₂×#88133	C₂²	semidirect
139. C₂×#88132	C₂²	semidirect
140. C₂×#88132	C₂²	semidirect
141. C₂×#88132	C₂²	semidirect
142. C₂×#88131	C₂²	semidirect
143. C₂×C₄×D₅₂	C₂²	semidirect
144. C₂×C₄²×D₁₃	C₂²	semidirect
145. C₂×#88124	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
181. C₂×#6129	C₂³	semidirect
192. C₂²×C₄×D₁₃	C₂³	semidirect
195. C₁₃×#124	C₂³	semidirect
196. C₁₃×#123	C₂³	semidirect
197. C₁₃×C₂²⋊Q₈	C₂³	semidirect
198. C₁₃×#121	C₂³	semidirect
199. C₁₃×#121	C₂³	semidirect
200. C₁₃×#120	C₂³	semidirect
202. C₄×D₄×C₁₃	C₂³	semidirect
213. C₂×C₁₃×C₂²⋊C₄	C₂³	semidirect
229. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
230. C₂×C₂²⋊Dic₁₃	C₂³	semidirect
231. #88201	C₂³	semidirect
232. #88200	C₂³	semidirect
233. Q₈×Dic₁₃	C₂³	semidirect
234. Q₈×Dic₁₃	C₂³	semidirect
237. #88193	C₂³	semidirect
238. #88193	C₂³	semidirect
239. #88193	C₂³	semidirect
242. #88192	C₂³	semidirect
244. #88191	C₂³	semidirect
245. #88190	C₂³	semidirect
246. #88189	C₂³	semidirect
250. D₄×Dic₁₃	C₂³	semidirect
251. D₄×Dic₁₃	C₂³	semidirect
252. D₄×Dic₁₃	C₂³	semidirect
253. D₄×Dic₁₃	C₂³	semidirect
254. D₄×Dic₁₃	C₂³	semidirect
255. D₄×Dic₁₃	C₂³	semidirect
257. #88184	C₂³	semidirect
258. #88183	C₂³	semidirect
260. C₄×C₂²⋊D₁₃	C₂³	semidirect
261. C₄×C₂²⋊D₁₃	C₂³	semidirect
271. C₂×#6103	C₂³	semidirect
272. #88180	C₂³	semidirect
273. #88180	C₂³	semidirect
274. #88180	C₂³	semidirect
275. #88180	C₂³	semidirect
288. C₂×C₄⋊Dic₁₃	C₂³	semidirect
289. C₂×C₄⋊Dic₁₃	C₂³	semidirect
290. #88178	C₂³	semidirect
301. C₂×#6101	C₂³	semidirect
310. #88152	C₂³	semidirect
311. #88152	C₂³	semidirect
312. #88151	C₂³	semidirect
313. #88151	C₂³	semidirect
314. #88147	C₂³	semidirect
315. #88146	C₂³	semidirect
316. C₄⋊C₄×D₁₃	C₂³	semidirect
317. #88144	C₂³	semidirect
318. #88144	C₂³	semidirect
319. #88143	C₂³	semidirect
320. #88142	C₂³	semidirect
321. #88140	C₂³	semidirect
322. #88140	C₂³	semidirect
323. #88139	C₂³	semidirect
324. #88139	C₂³	semidirect
327. #88137	C₂³	semidirect
328. #88137	C₂³	semidirect
329. #88137	C₂³	semidirect
330. #88137	C₂³	semidirect
331. #88137	C₂³	semidirect
332. #88137	C₂³	semidirect
333. #88137	C₂³	semidirect
334. #88135	C₂³	semidirect
335. #88135	C₂³	semidirect
336. #88135	C₂³	semidirect
337. #88135	C₂³	semidirect
338. C₂²⋊C₄×D₁₃	C₂³	semidirect
339. #88133	C₂³	semidirect
340. #88133	C₂³	semidirect
341. #88133	C₂³	semidirect
342. #88133	C₂³	semidirect
343. #88132	C₂³	semidirect
344. #88132	C₂³	semidirect
345. #88132	C₂³	semidirect
346. #88131	C₂³	semidirect
347. C₄×D₅₂	C₂³	semidirect
348. C₄²×D₁₃	C₂³	semidirect
349. #88124	C₂³	semidirect
350. C₄×Dic₂₆	C₂³	semidirect
375. C₂×D₄×C₁₃	#41	semidirect
531. C₂×#546	D₁₃	semidirect
583. D₄×C₁₃	C₂×#41	semidirect
661. #546	C₂×D₁₃	semidirect
685. C₂×#124	C₂×D₁₃	semidirect
701. C₂×#123	C₂×D₁₃	semidirect
709. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
719. C₂×#121	C₂×D₁₃	semidirect
720. C₂×#121	C₂×D₁₃	semidirect
724. C₂×#120	C₂×D₁₃	semidirect
750. C₂×C₄×D₄	C₂×D₁₃	semidirect
765. C₂²×C₂²⋊C₄	C₂×D₁₃	semidirect
878. #124	C₂²×D₁₃	semidirect
892. #123	C₂²×D₁₃	semidirect
900. C₂²⋊Q₈	C₂²×D₁₃	semidirect
910. #121	C₂²×D₁₃	semidirect
911. #121	C₂²×D₁₃	semidirect
915. #120	C₂²×D₁₃	semidirect
938. C₄×D₄	C₂²×D₁₃	semidirect
1007. C₂×C₂²⋊C₄	C₂²×D₁₃	semidirect
1022. C₂×C₁₃	#3513	semidirect
1076. C₂×D₄	#6129	semidirect
1196. C₁₃	C₂×#3513	semidirect
1247. D₄	C₂×#6129	semidirect
1351. C₂	#13128765	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128765	2
C₂×#11719386	2
C₂×#11719244	2
C₂×#11719270	2
C₂×#11719306	2
C₂×#11719344	2
C₂×#11719200	2
C₂×#11719363	2
C₂×#11719316	2
C₂×#11719534	2
C₂×#11719296	2
C₂×D₄×C₂²⋊D₁₃	2
C₂×#11719348	2
C₂×#11719324	2
C₂×#11719370	2
C₂×#11719298	2
C₂×#11719262	2
C₂×#11719385	2
C₂×#11719311	2
C₂²×#88137	2
C₂×#11719532	2
C₂×#11719503	2
C₂×C₄×D₄×D₁₃	2
C₂×C₁₃×#546	2
C₂×#3513	13

Subgroups — C2×#13128765 #16770885

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128765 #16770885