Subgroups — C₂×D₁₃×#542 #16769698

Order 3328.

7974 conjugacy classes of subgroups.

The subgroup lattice has 1332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719438	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#11719348	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719287	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719239	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719345	C₂	1	2	yes	maximal, complemented
6	C₂×#11719387	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719367	C₂	1	2	yes	maximal, complemented
8	C₂×#11719308	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719415	C₂	1	2	yes	maximal, complemented
10	C₂×#11719266	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719374	C₂	1	2	yes	maximal, complemented
12	D₁₃×#542	C₂	1	32	yes	maximal, direct product factor
13	C₂×D₁₃×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×D₁₃×#126	C₂	1	2	yes	maximal, complemented
15	C₂×D₁₃×#124	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×D₁₃×#124	C₂	1	2	yes	maximal, complemented
17	C₂×D₁₃×#123	C₂	1	2	yes	maximal, complemented
18	C₂×D₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×D₁₃×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
20	C₂×D₁₃×#121	C₂	1	1	yes	maximal, characteristic
21	C₂×C₄×Q₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×D₁₃×#117	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×Q₈×D₁₃	C₂²	1	1	yes	characteristic
26	C₂²×Q₈×D₁₃	C₂²	1	2	yes	—
27	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
28	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
29	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
30	C₂³×C₄×D₁₃	C₂²	1	2	yes	—
31	C₁₃×#542	C₂²	1	16	yes	complemented
32	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
34	C₂×C₁₃×#124	C₂²	1	2	yes	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	2	yes	complemented
38	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88201	C₂²	1	2	yes	complemented
44	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
45	C₂×#88200	C₂²	1	2	yes	complemented
46	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
47	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88198	C₂²	1	2	yes	complemented
49	C₂×#88193	C₂²	1	2	yes	—
50	C₂×#88192	C₂²	1	1	yes	characteristic
51	C₂×#88190	C₂²	1	1	yes	characteristic, complemented
52	C₂×#88190	C₂²	1	2	yes	complemented
53	C₂×#88189	C₂²	1	2	yes	complemented
54	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88184	C₂²	1	1	yes	characteristic
56	C₂×#88183	C₂²	1	2	yes	complemented
57	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
58	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88178	C₂²	1	2	yes	complemented
60	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
61	#11719438	C₂²	1	16	yes	complemented
62	D₁₃×C₄⋊Q₈	C₂²	1	16	yes	complemented
63	#11719415	C₂²	1	32	yes	complemented
64	D₁₃×#126	C₂²	1	32	yes	complemented
65	#11719387	C₂²	1	16	yes	complemented
66	D₁₃×#124	C₂²	1	16	yes	complemented
67	D₁₃×#124	C₂²	1	32	yes	complemented
68	#11719374	C₂²	1	32	yes	complemented
69	#11719367	C₂²	1	32	yes	complemented
70	D₁₃×#123	C₂²	1	32	yes	complemented
71	#11719348	C₂²	1	16	yes	complemented
72	#11719345	C₂²	1	32	yes	complemented
73	D₁₃×C₂²⋊Q₈	C₂²	1	32	yes	complemented
74	D₁₃×C₂²⋊Q₈	C₂²	1	16	yes	complemented
75	D₁₃×#121	C₂²	1	16	yes	—
76	#11719308	C₂²	1	16	yes	complemented
77	#11719287	C₂²	1	16	yes	complemented
78	C₄×Q₈×D₁₃	C₂²	1	16	yes	complemented
79	#11719266	C₂²	1	16	yes	complemented
80	C₄×D₄×D₁₃	C₂²	1	16	yes	complemented
81	#11719239	C₂²	1	16	yes	complemented
82	D₁₃×#117	C₂²	1	16	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×#88151	C₂²	1	2	yes	complemented
88	C₂×#88150	C₂²	1	2	yes	complemented
89	C₂×#88150	C₂²	1	2	yes	complemented
90	C₂×#88150	C₂²	1	2	yes	complemented
91	C₂×#88149	C₂²	1	1	yes	characteristic
92	C₂×#88148	C₂²	1	2	yes	complemented
93	C₂×#88148	C₂²	1	2	yes	complemented
94	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
95	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
96	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
98	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
99	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
100	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
101	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
102	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
103	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	—
104	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
105	C₂×#88142	C₂²	1	2	yes	complemented
106	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
107	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
108	C₂×#88141	C₂²	1	2	yes	complemented
109	C₂×#88140	C₂²	1	2	yes	complemented
110	C₂×#88139	C₂²	1	2	yes	complemented
111	C₂×#88139	C₂²	1	2	yes	complemented
112	C₂×#88139	C₂²	1	2	yes	complemented
113	C₂×#88139	C₂²	1	2	yes	complemented
114	C₂×#88139	C₂²	1	2	yes	complemented
115	C₂×#88139	C₂²	1	2	yes	complemented
116	C₂×#88138	C₂²	1	2	yes	—
117	C₂×#88137	C₂²	1	2	yes	complemented
118	C₂×#88137	C₂²	1	2	yes	complemented
119	C₂×#88135	C₂²	1	2	yes	complemented
120	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
121	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
122	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
123	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
124	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
125	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
126	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
127	C₂×#88133	C₂²	1	2	yes	complemented
128	C₂×#88133	C₂²	1	2	yes	complemented
129	C₂×#88133	C₂²	1	2	yes	complemented
130	C₂×#88132	C₂²	1	2	yes	complemented
131	C₂×#88132	C₂²	1	2	yes	complemented
132	C₂×#88132	C₂²	1	2	yes	complemented
133	C₂×#88131	C₂²	1	1	yes	characteristic, complemented
134	C₂×#88131	C₂²	1	1	yes	characteristic, complemented
135	C₂×#88130	C₂²	1	2	yes	complemented
136	C₂×#88129	C₂²	1	2	yes	complemented
137	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
139	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
140	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
142	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
143	C₂×C₄²×D₁₃	C₂²	1	2	yes	—
144	C₂×#88123	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	1	yes	characteristic
148	C₂⁴×D₁₃	C₂³	1	2	yes	—
149	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
151	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
155	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
158	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
159	C₂³×Dic₁₃	C₂³	1	2	yes	—
160	C₂×Q₈×D₁₃	—	2	8	no	—
161	C₂×Q₈×D₁₃	—	4	8	no	—
162	C₂×Q₈×D₁₃	C₂³	1	8	yes	—
163	C₂×Q₈×D₁₃	C₂³	1	16	yes	—
164	C₂×D₄×D₁₃	—	2	8	no	—
165	C₂×D₄×D₁₃	—	4	8	no	—
166	C₂×D₄×D₁₃	C₂³	1	8	yes	—
167	C₂×D₄×D₁₃	C₂³	1	16	yes	—
168	C₂²×D₅₂	C₂³	1	1	yes	characteristic
169	C₂²×D₅₂	C₂³	1	2	yes	—
170	C₂²×C₄×D₁₃	—	2	8	no	—
171	C₂²×C₄×D₁₃	—	4	8	no	—
172	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
174	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
175	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
176	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
178	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
181	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
183	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
184	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
185	C₂²×C₄×D₁₃	C₂³	1	16	yes	—
186	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
187	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
188	C₂²×Dic₂₆	C₂³	1	2	yes	—
189	C₂²×Dic₂₆	C₂³	1	2	yes	—
190	C₂²×Dic₂₆	C₂³	1	2	yes	—
191	C₂²×Dic₂₆	C₂³	1	2	yes	—
192	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
193	C₁₃×#126	C₂³	1	16	yes	complemented
194	C₁₃×#124	C₂³	1	16	yes	complemented
195	C₁₃×#124	C₂³	1	8	yes	complemented
196	C₁₃×#123	C₂³	1	16	yes	complemented
197	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
198	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
199	C₁₃×#121	C₂³	1	8	yes	—
200	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
201	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
202	C₁₃×#117	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×C₄⋊C₄	C₂³	1	2	yes	—
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
210	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
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	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×C₄²×C₁₃	C₂³	1	1	yes	characteristic
218	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
219	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
221	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
222	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
223	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
224	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
225	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
226	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
227	#88201	C₂³	1	16	yes	complemented
228	#88201	C₂³	1	8	yes	complemented
229	#88200	C₂³	1	16	yes	complemented
230	#88200	C₂³	1	8	yes	complemented
231	Q₈×Dic₁₃	C₂³	1	8	yes	complemented
232	#88198	C₂³	1	16	yes	complemented
233	#88193	C₂³	1	16	yes	—
234	#88192	C₂³	1	8	yes	—
235	#88190	C₂³	1	8	yes	complemented
236	#88190	C₂³	1	16	yes	complemented
237	#88189	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	C₂×#6103	C₂³	1	1	yes	characteristic
243	C₂×#6103	C₂³	1	1	yes	characteristic
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	1	yes	characteristic
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	C₂×#6103	C₂³	1	2	yes	—
255	C₂×#6103	C₂³	1	2	yes	—
256	#88180	C₂³	1	8	yes	complemented
257	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
259	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
261	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
263	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
264	#88178	C₂³	1	8	yes	complemented
265	#88178	C₂³	1	16	yes	complemented
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	1	yes	characteristic
270	C₂×#6101	C₂³	1	1	yes	characteristic
271	C₂×#6101	C₂³	1	1	yes	characteristic
272	C₂×#6101	C₂³	1	1	yes	characteristic
273	C₂×#6101	C₂³	1	2	yes	—
274	C₂×#6101	C₂³	1	2	yes	—
275	C₂×#6101	C₂³	1	2	yes	—
276	C₂×#6101	C₂³	1	2	yes	—
277	C₂×#6101	C₂³	1	2	yes	—
278	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
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	#88152	C₂³	1	16	yes	complemented
288	#88152	C₂³	1	16	yes	complemented
289	#88152	C₂³	1	16	yes	complemented
290	#88151	C₂³	1	8	yes	complemented
291	#88151	C₂³	1	16	yes	complemented
292	#88150	C₂³	1	16	yes	complemented
293	#88150	C₂³	1	16	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	#88146	C₂³	1	8	yes	complemented
300	#88146	C₂³	1	8	yes	complemented
301	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
302	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
303	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
304	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
305	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
306	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
307	C₄⋊C₄×D₁₃	C₂³	1	16	yes	—
308	#88142	C₂³	1	8	yes	complemented
309	#88142	C₂³	1	8	yes	complemented
310	#88142	C₂³	1	16	yes	complemented
311	#88141	C₂³	1	8	yes	complemented
312	#88141	C₂³	1	16	yes	complemented
313	#88140	C₂³	1	16	yes	complemented
314	#88139	C₂³	1	16	yes	complemented
315	#88139	C₂³	1	16	yes	complemented
316	#88139	C₂³	1	16	yes	complemented
317	#88139	C₂³	1	16	yes	complemented
318	#88139	C₂³	1	16	yes	complemented
319	#88139	C₂³	1	16	yes	complemented
320	#88138	C₂³	1	16	yes	—
321	#88137	C₂³	1	16	yes	complemented
322	#88137	C₂³	1	16	yes	complemented
323	#88135	C₂³	1	16	yes	complemented
324	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
325	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
326	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
327	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
328	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
329	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
330	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
331	#88133	C₂³	1	16	yes	complemented
332	#88133	C₂³	1	16	yes	complemented
333	#88133	C₂³	1	16	yes	complemented
334	#88132	C₂³	1	16	yes	complemented
335	#88132	C₂³	1	16	yes	complemented
336	#88132	C₂³	1	16	yes	complemented
337	#88131	C₂³	1	8	yes	complemented
338	#88131	C₂³	1	8	yes	complemented
339	#88130	C₂³	1	16	yes	complemented
340	#88129	C₂³	1	8	yes	complemented
341	#88129	C₂³	1	16	yes	complemented
342	C₄×D₅₂	C₂³	1	8	yes	complemented
343	#88126	C₂³	1	8	yes	complemented
344	#88126	C₂³	1	8	yes	complemented
345	C₄²×D₁₃	C₂³	1	8	yes	—
346	C₄²×D₁₃	C₂³	1	8	yes	—
347	C₄²×D₁₃	C₂³	1	16	yes	—
348	#88123	C₂³	1	8	yes	complemented
349	C₄×Dic₂₆	C₂³	1	8	yes	complemented
350	C₄×Dic₂₆	C₂³	1	16	yes	complemented
351	C₂²×#542	—	13	1	no	maximal, Sylow
352	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
353	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
354	C₂³×D₁₃	—	2	4	no	—
355	C₂³×D₁₃	—	2	8	no	—
356	C₂³×D₁₃	—	2	8	no	—
357	C₂³×D₁₃	—	2	4	no	—
358	C₂³×D₁₃	—	2	4	no	—
359	C₂³×D₁₃	—	2	8	no	—
360	C₂³×D₁₃	C₂⁴	1	4	yes	—
361	C₂³×D₁₃	C₂⁴	1	8	yes	—
362	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
363	C₂³×D₁₃	C₂⁴	1	2	yes	—
364	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
365	C₂×Q₈×C₁₃	—	2	4	no	—
366	C₂×Q₈×C₁₃	—	4	4	no	—
367	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
368	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
369	C₂×D₄×C₁₃	—	2	4	no	—
370	C₂×D₄×C₁₃	—	4	4	no	—
371	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
372	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
373	C₂²×C₄×C₁₃	—	2	4	no	—
374	C₂²×C₄×C₁₃	—	4	4	no	—
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
383	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
384	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂×C₂²⋊D₁₃	—	2	8	no	—
387	C₂×C₂²⋊D₁₃	—	4	4	no	—
388	C₂×C₂²⋊D₁₃	—	4	4	no	—
389	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
390	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
391	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
392	C₂²×Dic₁₃	—	2	4	no	—
393	C₂²×Dic₁₃	—	4	4	no	—
394	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
395	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
398	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
400	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
403	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
404	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
405	Q₈×D₁₃	—	2	32	no	—
406	Q₈×D₁₃	—	4	32	no	—
407	D₄×D₁₃	—	2	32	no	—
408	D₄×D₁₃	—	4	32	no	—
409	C₂×D₅₂	—	2	4	no	—
410	C₂×D₅₂	—	4	4	no	—
411	C₂×D₅₂	C₂⁴	1	4	yes	—
412	C₂×D₅₂	C₂⁴	1	8	yes	—
413	C₂×C₄×D₁₃	—	2	4	no	—
414	C₂×C₄×D₁₃	—	2	8	no	—
415	C₂×C₄×D₁₃	—	2	4	no	—
416	C₂×C₄×D₁₃	—	2	8	no	—
417	C₂×C₄×D₁₃	—	2	8	no	—
418	C₂×C₄×D₁₃	—	2	4	no	—
419	C₂×C₄×D₁₃	—	2	4	no	—
420	C₂×C₄×D₁₃	—	2	4	no	—
421	C₂×C₄×D₁₃	—	2	4	no	—
422	C₂×C₄×D₁₃	—	2	4	no	—
423	C₂×C₄×D₁₃	—	2	32	no	—
424	C₂×C₄×D₁₃	—	4	32	no	—
425	C₂×C₄×D₁₃	—	4	4	no	—
426	C₂×C₄×D₁₃	—	4	4	no	—
427	C₂×C₄×D₁₃	#41	1	8	yes	—
428	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
429	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
430	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
431	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
432	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
433	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
434	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
435	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
436	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
437	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
438	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
439	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
440	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
441	C₂×Dic₂₆	—	2	4	no	—
442	C₂×Dic₂₆	—	2	8	no	—
443	C₂×Dic₂₆	—	4	4	no	—
444	C₂×Dic₂₆	—	4	4	no	—
445	C₂×Dic₂₆	—	4	4	no	—
446	C₂×Dic₂₆	C₂⁴	1	4	yes	—
447	C₂×Dic₂₆	C₂⁴	1	8	yes	—
448	C₂×Dic₂₆	C₂⁴	1	8	yes	—
449	C₂×Dic₂₆	C₂⁴	1	8	yes	—
450	C₂×Dic₂₆	C₂⁴	1	8	yes	—
451	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
452	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
453	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
454	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
455	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
456	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
457	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
458	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
459	C₁₃×C₂²⋊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	8	yes	—
464	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
465	C₄²×C₁₃	C₂⁴	1	4	yes	—
466	C₄²×C₁₃	C₂⁴	1	8	yes	—
467	C₄²×C₁₃	C₂⁴	1	4	yes	—
468	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
469	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
470	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
471	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
472	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
473	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
474	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
475	#6103	C₂⁴	1	4	yes	—
476	#6103	C₂⁴	1	4	yes	—
477	#6103	C₂⁴	1	4	yes	—
478	#6103	C₂⁴	1	4	yes	—
479	#6103	C₂⁴	1	8	yes	—
480	#6103	C₂⁴	1	8	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	8	yes	—
487	#6103	C₂⁴	1	8	yes	—
488	#6103	C₂⁴	1	8	yes	—
489	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
490	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
491	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
492	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
493	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
494	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
495	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
496	#6101	C₂⁴	1	8	yes	—
497	#6101	C₂⁴	1	8	yes	—
498	#6101	C₂⁴	1	8	yes	—
499	#6101	C₂⁴	1	4	yes	—
500	#6101	C₂⁴	1	4	yes	—
501	#6101	C₂⁴	1	4	yes	—
502	#6101	C₂⁴	1	4	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	8	yes	—
516	C₄×Dic₁₃	C₂⁴	1	8	yes	—
517	C₂×#542	—	13	32	no	—
518	C₂×#542	—	13	1	no	—
519	C₂×#542	—	13	2	no	—
520	C₂×#542	—	13	2	no	—
521	C₂×#542	—	13	1	no	—
522	C₂×#542	—	13	2	no	—
523	C₂×#542	—	13	2	no	—
524	C₂×#542	—	13	1	no	—
525	C₂×#542	—	13	1	no	—
526	C₂×#542	—	13	1	no	—
527	C₂×#542	—	13	1	no	—
528	C₂×#542	—	13	1	no	—
529	C₂×#542	D₁₃	1	1	yes	characteristic, direct product factor
530	C₂²×C₄⋊Q₈	—	13	1	no	—
531	C₂²×#126	—	13	2	no	—
532	C₂²×#124	—	13	2	no	—
533	C₂²×#124	—	13	1	no	—
534	C₂²×#123	—	13	2	no	—
535	C₂²×C₂²⋊Q₈	—	13	2	no	—
536	C₂²×C₂²⋊Q₈	—	13	1	no	—
537	C₂²×#121	—	13	1	no	—
538	C₂²×C₄×Q₈	—	13	1	no	—
539	C₂²×C₄×D₄	—	13	1	no	—
540	C₂²×#117	—	13	1	no	—
541	C₂³×C₁₃	—	2	2	no	—
542	C₂³×C₁₃	—	2	4	no	—
543	C₂³×C₁₃	—	2	4	no	—
544	C₂³×C₁₃	—	2	2	no	—
545	C₂³×C₁₃	—	2	2	no	—
546	C₂³×C₁₃	—	2	4	no	—
547	C₂³×C₁₃	C₂⁵	1	2	yes	—
548	C₂³×C₁₃	C₂⁵	1	4	yes	—
549	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
550	C₂²×D₁₃	—	2	2	no	—
551	C₂²×D₁₃	—	2	4	no	—
552	C₂²×D₁₃	—	2	4	no	—
553	C₂²×D₁₃	—	2	2	no	—
554	C₂²×D₁₃	—	2	2	no	—
555	C₂²×D₁₃	—	2	4	no	—
556	C₂²×D₁₃	—	2	8	no	—
557	C₂²×D₁₃	—	2	16	no	—
558	C₂²×D₁₃	—	2	16	no	—
559	C₂²×D₁₃	—	2	8	no	—
560	C₂²×D₁₃	—	2	8	no	—
561	C₂²×D₁₃	—	2	16	no	—
562	C₂²×D₁₃	—	4	16	no	—
563	C₂²×D₁₃	—	4	32	no	—
564	C₂²×D₁₃	C₂×#41	1	4	yes	—
565	C₂²×D₁₃	H(5,𝔽₂)	1	4	yes	—
566	C₂²×D₁₃	2₋¹⁺⁴	1	4	yes	—
567	C₂²×D₁₃	C₂⁵	1	2	yes	—
568	C₂²×D₁₃	C₂⁵	1	4	yes	—
569	C₂²×D₁₃	C₂⁵	1	2	yes	—
570	Q₈×C₁₃	—	2	8	no	—
571	Q₈×C₁₃	—	4	8	no	—
572	D₄×C₁₃	—	2	8	no	—
573	D₄×C₁₃	—	4	8	no	—
574	C₂×C₄×C₁₃	—	2	4	no	—
575	C₂×C₄×C₁₃	—	2	2	no	—
576	C₂×C₄×C₁₃	—	2	2	no	—
577	C₂×C₄×C₁₃	—	2	4	no	—
578	C₂×C₄×C₁₃	—	2	4	no	—
579	C₂×C₄×C₁₃	—	2	2	no	—
580	C₂×C₄×C₁₃	—	2	2	no	—
581	C₂×C₄×C₁₃	—	2	2	no	—
582	C₂×C₄×C₁₃	—	2	8	no	—
583	C₂×C₄×C₁₃	—	4	8	no	—
584	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
585	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
586	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
587	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
588	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
589	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
590	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
591	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
592	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
593	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
594	C₂²⋊D₁₃	—	2	16	no	—
595	C₂²⋊D₁₃	—	4	8	no	—
596	C₂²⋊D₁₃	—	4	8	no	—
597	C₂×Dic₁₃	—	2	4	no	—
598	C₂×Dic₁₃	—	2	2	no	—
599	C₂×Dic₁₃	—	2	2	no	—
600	C₂×Dic₁₃	—	2	4	no	—
601	C₂×Dic₁₃	—	2	4	no	—
602	C₂×Dic₁₃	—	2	2	no	—
603	C₂×Dic₁₃	—	2	2	no	—
604	C₂×Dic₁₃	—	2	2	no	—
605	C₂×Dic₁₃	—	2	8	no	—
606	C₂×Dic₁₃	—	4	8	no	—
607	C₂×Dic₁₃	C₂×#41	1	4	yes	—
608	C₂×Dic₁₃	C₂⁵	1	2	yes	—
609	C₂×Dic₁₃	C₂⁵	1	2	yes	—
610	C₂×Dic₁₃	C₂⁵	1	4	yes	—
611	C₂×Dic₁₃	C₂⁵	1	2	yes	—
612	C₂×Dic₁₃	C₂⁵	1	4	yes	—
613	C₂×Dic₁₃	C₂⁵	1	2	yes	—
614	C₂×Dic₁₃	C₂⁵	1	2	yes	—
615	C₂×Dic₁₃	C₂⁵	1	4	yes	—
616	C₂×Dic₁₃	C₂⁵	1	2	yes	—
617	D₅₂	—	2	8	no	—
618	D₅₂	—	4	8	no	—
619	C₄×D₁₃	—	2	8	no	—
620	C₄×D₁₃	—	2	16	no	—
621	C₄×D₁₃	—	2	8	no	—
622	C₄×D₁₃	—	2	16	no	—
623	C₄×D₁₃	—	2	16	no	—
624	C₄×D₁₃	—	2	8	no	—
625	C₄×D₁₃	—	2	8	no	—
626	C₄×D₁₃	—	2	8	no	—
627	C₄×D₁₃	—	2	8	no	—
628	C₄×D₁₃	—	2	8	no	—
629	C₄×D₁₃	—	4	8	no	—
630	C₄×D₁₃	—	4	8	no	—
631	C₄×D₁₃	C₂×#41	1	16	yes	—
632	Dic₂₆	—	2	8	no	—
633	Dic₂₆	—	2	16	no	—
634	Dic₂₆	—	4	8	no	—
635	Dic₂₆	—	4	8	no	—
636	Dic₂₆	—	4	8	no	—
637	C₂³×Q₈	—	13	1	no	—
638	C₂³×Q₈	—	13	2	no	—
639	C₂³×D₄	—	13	1	no	—
640	C₂³×D₄	—	13	2	no	—
641	C₂⁴×C₄	—	13	1	no	—
642	C₂⁴×C₄	—	13	2	no	—
643	#542	—	13	16	no	—
644	#542	—	13	32	no	—
645	#542	—	13	32	no	—
646	#542	—	13	16	no	—
647	#542	—	13	32	no	—
648	#542	—	13	32	no	—
649	#542	—	13	16	no	—
650	#542	—	13	16	no	—
651	#542	—	13	16	no	—
652	#542	—	13	16	no	—
653	#542	—	13	16	no	—
654	#542	C₂×D₁₃	1	16	yes	direct product factor
655	C₂×C₄⋊Q₈	—	13	2	no	—
656	C₂×C₄⋊Q₈	—	13	16	no	—
657	C₂×C₄⋊Q₈	—	13	2	no	—
658	C₂×C₄⋊Q₈	—	13	1	no	—
659	C₂×C₄⋊Q₈	—	13	1	no	—
660	C₂×C₄⋊Q₈	—	13	1	no	—
661	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
662	C₂×#126	—	13	32	no	—
663	C₂×#126	—	13	2	no	—
664	C₂×#126	—	13	2	no	—
665	C₂×#126	—	13	2	no	—
666	C₂×#126	—	13	2	no	—
667	C₂×#126	—	13	2	no	—
668	C₂×#126	—	13	2	no	—
669	C₂×#126	—	13	2	no	—
670	C₂×#126	C₂×D₁₃	1	2	yes	complemented
671	C₂×#124	—	13	1	no	—
672	C₂×#124	—	13	2	no	—
673	C₂×#124	—	13	1	no	—
674	C₂×#124	—	13	2	no	—
675	C₂×#124	—	13	16	no	—
676	C₂×#124	—	13	32	no	—
677	C₂×#124	—	13	2	no	—
678	C₂×#124	—	13	2	no	—
679	C₂×#124	—	13	2	no	—
680	C₂×#124	—	13	2	no	—
681	C₂×#124	—	13	2	no	—
682	C₂×#124	—	13	2	no	—
683	C₂×#124	—	13	1	no	—
684	C₂×#124	—	13	2	no	—
685	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
686	C₂×#124	C₂×D₁₃	1	2	yes	complemented
687	C₂×#123	—	13	2	no	—
688	C₂×#123	—	13	2	no	—
689	C₂×#123	—	13	32	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	C₂×D₁₃	1	2	yes	complemented
696	C₂×C₂²⋊Q₈	—	13	2	no	—
697	C₂×C₂²⋊Q₈	—	13	1	no	—
698	C₂×C₂²⋊Q₈	—	13	2	no	—
699	C₂×C₂²⋊Q₈	—	13	1	no	—
700	C₂×C₂²⋊Q₈	—	13	32	no	—
701	C₂×C₂²⋊Q₈	—	13	16	no	—
702	C₂×C₂²⋊Q₈	—	13	2	no	—
703	C₂×C₂²⋊Q₈	—	13	2	no	—
704	C₂×C₂²⋊Q₈	—	13	2	no	—
705	C₂×C₂²⋊Q₈	—	13	2	no	—
706	C₂×C₂²⋊Q₈	—	13	1	no	—
707	C₂×C₂²⋊Q₈	—	13	2	no	—
708	C₂×C₂²⋊Q₈	—	13	2	no	—
709	C₂×C₂²⋊Q₈	—	13	2	no	—
710	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
711	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
712	C₂×#121	—	13	1	no	—
713	C₂×#121	—	13	2	no	—
714	C₂×#121	—	13	1	no	—
715	C₂×#121	—	13	16	no	—
716	C₂×#121	—	13	1	no	—
717	C₂×#121	—	13	2	no	—
718	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
719	C₂×C₄×Q₈	—	13	1	no	—
720	C₂×C₄×Q₈	—	13	16	no	—
721	C₂×C₄×Q₈	—	13	2	no	—
722	C₂×C₄×Q₈	—	13	1	no	—
723	C₂×C₄×Q₈	—	13	2	no	—
724	C₂×C₄×Q₈	—	13	1	no	—
725	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
726	C₂×C₄×D₄	—	13	1	no	—
727	C₂×C₄×D₄	—	13	2	no	—
728	C₂×C₄×D₄	—	13	16	no	—
729	C₂×C₄×D₄	—	13	1	no	—
730	C₂×C₄×D₄	—	13	2	no	—
731	C₂×C₄×D₄	—	13	1	no	—
732	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
733	C₂×#117	—	13	1	no	—
734	C₂×#117	—	13	16	no	—
735	C₂×#117	—	13	1	no	—
736	C₂×#117	—	13	1	no	—
737	C₂×#117	—	13	1	no	—
738	C₂×#117	—	13	1	no	—
739	C₂×#117	—	13	1	no	—
740	C₂×#117	—	13	1	no	—
741	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
742	C₂²×C₄⋊C₄	—	13	1	no	—
743	C₂²×C₄⋊C₄	—	13	1	no	—
744	C₂²×C₄⋊C₄	—	13	1	no	—
745	C₂²×C₄⋊C₄	—	13	1	no	—
746	C₂²×C₄⋊C₄	—	13	2	no	—
747	C₂²×C₄⋊C₄	—	13	2	no	—
748	C₂²×C₄⋊C₄	—	13	2	no	—
749	C₂²×C₂²⋊C₄	—	13	1	no	—
750	C₂²×C₂²⋊C₄	—	13	1	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×C₂²⋊C₄	—	13	2	no	—
756	C₂²×C₄²	—	13	1	no	—
757	C₂²×C₄²	—	13	1	no	—
758	C₂²×C₄²	—	13	2	no	—
759	C₂²×C₁₃	—	2	2	no	—
760	C₂²×C₁₃	—	2	4	no	—
761	C₂²×C₁₃	—	2	4	no	—
762	C₂²×C₁₃	—	2	2	no	—
763	C₂²×C₁₃	—	2	2	no	—
764	C₂²×C₁₃	—	2	4	no	—
765	C₂²×C₁₃	—	4	4	no	—
766	C₂²×C₁₃	—	4	8	no	—
767	C₂²×C₁₃	C₂²×#41	1	2	yes	—
768	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
769	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
770	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
771	C₂×D₁₃	—	2	2	no	—
772	C₂×D₁₃	—	2	4	no	—
773	C₂×D₁₃	—	2	4	no	—
774	C₂×D₁₃	—	2	2	no	—
775	C₂×D₁₃	—	2	2	no	—
776	C₂×D₁₃	—	2	4	no	—
777	C₂×D₁₃	—	4	4	no	—
778	C₂×D₁₃	—	4	8	no	—
779	C₂×D₁₃	—	4	16	no	—
780	C₂×D₁₃	—	4	32	no	—
781	C₂×D₁₃	#542	1	16	yes	direct product factor
782	C₂×D₁₃	C₂²×#41	1	4	yes	—
783	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
784	C₂×D₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
785	C₄×C₁₃	—	2	4	no	—
786	C₄×C₁₃	—	2	2	no	—
787	C₄×C₁₃	—	2	2	no	—
788	C₄×C₁₃	—	2	4	no	—
789	C₄×C₁₃	—	2	4	no	—
790	C₄×C₁₃	—	2	2	no	—
791	C₄×C₁₃	—	2	2	no	—
792	C₄×C₁₃	—	2	2	no	—
793	C₄×C₁₃	C₂²×#41	1	4	yes	—
794	Dic₁₃	—	2	4	no	—
795	Dic₁₃	—	2	2	no	—
796	Dic₁₃	—	2	2	no	—
797	Dic₁₃	—	2	4	no	—
798	Dic₁₃	—	2	4	no	—
799	Dic₁₃	—	2	2	no	—
800	Dic₁₃	—	2	2	no	—
801	Dic₁₃	—	2	2	no	—
802	Dic₁₃	C₂²×#41	1	4	yes	—
803	C₂⁵	—	13	1	no	—
804	C₂⁵	—	13	2	no	—
805	C₂²×Q₈	—	13	8	no	—
806	C₂²×Q₈	—	13	16	no	—
807	C₂²×Q₈	—	13	2	no	—
808	C₂²×Q₈	—	13	1	no	—
809	C₂²×Q₈	—	13	2	no	—
810	C₂²×Q₈	—	13	2	no	—
811	C₂²×Q₈	—	13	2	no	—
812	C₂²×Q₈	—	26	8	no	—
813	C₂²×Q₈	—	52	8	no	—
814	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
815	C₂²×Q₈	C₂²×D₁₃	1	2	yes	—
816	C₂²×D₄	—	13	2	no	—
817	C₂²×D₄	—	13	2	no	—
818	C₂²×D₄	—	13	2	no	—
819	C₂²×D₄	—	13	8	no	—
820	C₂²×D₄	—	13	16	no	—
821	C₂²×D₄	—	13	1	no	—
822	C₂²×D₄	—	13	2	no	—
823	C₂²×D₄	—	26	8	no	—
824	C₂²×D₄	—	52	8	no	—
825	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
826	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
827	C₂³×C₄	—	13	1	no	—
828	C₂³×C₄	—	13	1	no	—
829	C₂³×C₄	—	13	2	no	—
830	C₂³×C₄	—	13	1	no	—
831	C₂³×C₄	—	13	2	no	—
832	C₂³×C₄	—	13	1	no	—
833	C₂³×C₄	—	13	1	no	—
834	C₂³×C₄	—	13	1	no	—
835	C₂³×C₄	—	13	2	no	—
836	C₂³×C₄	—	13	1	no	—
837	C₂³×C₄	—	13	2	no	—
838	C₂³×C₄	—	13	1	no	—
839	C₂³×C₄	—	13	8	no	—
840	C₂³×C₄	—	13	1	no	—
841	C₂³×C₄	—	13	2	no	—
842	C₂³×C₄	—	13	2	no	—
843	C₂³×C₄	—	13	16	no	—
844	C₂³×C₄	—	26	8	no	—
845	C₂³×C₄	—	52	8	no	—
846	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
847	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
848	C₄⋊Q₈	—	13	16	no	—
849	C₄⋊Q₈	—	13	16	no	—
850	C₄⋊Q₈	—	13	8	no	—
851	C₄⋊Q₈	—	13	8	no	—
852	C₄⋊Q₈	—	13	8	no	—
853	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
854	#126	—	13	16	no	—
855	#126	—	13	16	no	—
856	#126	—	13	16	no	—
857	#126	—	13	16	no	—
858	#126	—	13	16	no	—
859	#126	—	13	16	no	—
860	#126	—	13	16	no	—
861	#126	C₂²×D₁₃	1	16	yes	complemented
862	#124	—	13	8	no	—
863	#124	—	13	16	no	—
864	#124	—	13	8	no	—
865	#124	—	13	16	no	—
866	#124	—	13	16	no	—
867	#124	—	13	16	no	—
868	#124	—	13	16	no	—
869	#124	—	13	16	no	—
870	#124	—	13	16	no	—
871	#124	—	13	16	no	—
872	#124	—	13	8	no	—
873	#124	—	13	16	no	—
874	#124	C₂²×D₁₃	1	8	yes	complemented
875	#124	C₂²×D₁₃	1	16	yes	complemented
876	#123	—	13	16	no	—
877	#123	—	13	16	no	—
878	#123	—	13	16	no	—
879	#123	—	13	16	no	—
880	#123	—	13	16	no	—
881	#123	—	13	16	no	—
882	#123	—	13	16	no	—
883	#123	C₂²×D₁₃	1	16	yes	complemented
884	C₂²⋊Q₈	—	13	16	no	—
885	C₂²⋊Q₈	—	13	8	no	—
886	C₂²⋊Q₈	—	13	16	no	—
887	C₂²⋊Q₈	—	13	8	no	—
888	C₂²⋊Q₈	—	13	16	no	—
889	C₂²⋊Q₈	—	13	16	no	—
890	C₂²⋊Q₈	—	13	16	no	—
891	C₂²⋊Q₈	—	13	16	no	—
892	C₂²⋊Q₈	—	13	8	no	—
893	C₂²⋊Q₈	—	13	16	no	—
894	C₂²⋊Q₈	—	13	16	no	—
895	C₂²⋊Q₈	—	13	16	no	—
896	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
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	8	no	—
913	C₄×D₄	—	13	16	no	—
914	C₄×D₄	—	13	8	no	—
915	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
916	#117	—	13	8	no	—
917	#117	—	13	8	no	—
918	#117	—	13	8	no	—
919	#117	—	13	8	no	—
920	#117	—	13	8	no	—
921	#117	—	13	8	no	—
922	#117	—	13	8	no	—
923	#117	C₂²×D₁₃	1	8	yes	complemented
924	C₂×C₄⋊C₄	—	13	1	no	—
925	C₂×C₄⋊C₄	—	13	1	no	—
926	C₂×C₄⋊C₄	—	13	1	no	—
927	C₂×C₄⋊C₄	—	13	1	no	—
928	C₂×C₄⋊C₄	—	13	1	no	—
929	C₂×C₄⋊C₄	—	13	1	no	—
930	C₂×C₄⋊C₄	—	13	2	no	—
931	C₂×C₄⋊C₄	—	13	1	no	—
932	C₂×C₄⋊C₄	—	13	2	no	—
933	C₂×C₄⋊C₄	—	13	1	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	2	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	8	no	—
944	C₂×C₄⋊C₄	—	13	8	no	—
945	C₂×C₄⋊C₄	—	13	8	no	—
946	C₂×C₄⋊C₄	—	13	8	no	—
947	C₂×C₄⋊C₄	—	13	16	no	—
948	C₂×C₄⋊C₄	—	13	16	no	—
949	C₂×C₄⋊C₄	—	13	16	no	—
950	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
953	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
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	2	yes	—
957	C₂×C₂²⋊C₄	—	13	1	no	—
958	C₂×C₂²⋊C₄	—	13	1	no	—
959	C₂×C₂²⋊C₄	—	13	2	no	—
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	1	no	—
965	C₂×C₂²⋊C₄	—	13	1	no	—
966	C₂×C₂²⋊C₄	—	13	1	no	—
967	C₂×C₂²⋊C₄	—	13	1	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	2	no	—
976	C₂×C₂²⋊C₄	—	13	2	no	—
977	C₂×C₂²⋊C₄	—	13	2	no	—
978	C₂×C₂²⋊C₄	—	13	8	no	—
979	C₂×C₂²⋊C₄	—	13	8	no	—
980	C₂×C₂²⋊C₄	—	13	16	no	—
981	C₂×C₂²⋊C₄	—	13	16	no	—
982	C₂×C₂²⋊C₄	—	13	16	no	—
983	C₂×C₂²⋊C₄	—	13	16	no	—
984	C₂×C₂²⋊C₄	—	13	16	no	—
985	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
986	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
987	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
988	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
989	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
990	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
991	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
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	1	no	—
998	C₂×C₄²	—	13	2	no	—
999	C₂×C₄²	—	13	2	no	—
1000	C₂×C₄²	—	13	2	no	—
1001	C₂×C₄²	—	13	8	no	—
1002	C₂×C₄²	—	13	8	no	—
1003	C₂×C₄²	—	13	16	no	—
1004	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1005	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1006	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
1007	C₂×C₁₃	—	4	2	no	—
1008	C₂×C₁₃	—	4	4	no	—
1009	C₂×C₁₃	C₂×#542	1	4	yes	complemented
1010	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1011	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1012	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1013	D₁₃	—	4	2	no	—
1014	D₁₃	—	4	4	no	—
1015	D₁₃	C₂×#542	1	8	yes	direct product factor
1016	C₂⁴	—	13	1	no	—
1017	C₂⁴	—	13	4	no	—
1018	C₂⁴	—	13	8	no	—
1019	C₂⁴	—	13	1	no	—
1020	C₂⁴	—	13	2	no	—
1021	C₂⁴	—	26	4	no	—
1022	C₂⁴	—	26	8	no	—
1023	C₂⁴	—	26	8	no	—
1024	C₂⁴	—	26	4	no	—
1025	C₂⁴	—	26	4	no	—
1026	C₂⁴	—	26	8	no	—
1027	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1028	C₂⁴	C₂³×D₁₃	1	2	yes	—
1029	C₂×Q₈	—	2	4	no	—
1030	C₂×Q₈	—	4	4	no	—
1031	C₂×Q₈	—	13	8	no	—
1032	C₂×Q₈	—	13	4	no	—
1033	C₂×Q₈	—	13	8	no	—
1034	C₂×Q₈	—	13	8	no	—
1035	C₂×Q₈	—	13	8	no	—
1036	C₂×Q₈	—	26	8	no	—
1037	C₂×Q₈	—	26	32	no	—
1038	C₂×Q₈	—	26	4	no	—
1039	C₂×Q₈	—	52	4	no	—
1040	C₂×Q₈	—	52	4	no	—
1041	C₂×Q₈	—	52	4	no	—
1042	C₂×Q₈	—	52	32	no	—
1043	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1044	C₂×Q₈	C₂³×D₁₃	1	8	yes	—
1045	C₂×D₄	—	2	4	no	—
1046	C₂×D₄	—	4	4	no	—
1047	C₂×D₄	—	13	8	no	—
1048	C₂×D₄	—	13	8	no	—
1049	C₂×D₄	—	13	8	no	—
1050	C₂×D₄	—	13	4	no	—
1051	C₂×D₄	—	13	8	no	—
1052	C₂×D₄	—	26	32	no	—
1053	C₂×D₄	—	26	8	no	—
1054	C₂×D₄	—	26	4	no	—
1055	C₂×D₄	—	52	4	no	—
1056	C₂×D₄	—	52	32	no	—
1057	C₂×D₄	—	52	4	no	—
1058	C₂×D₄	—	52	4	no	—
1059	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1060	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1061	C₂²×C₄	—	2	4	no	—
1062	C₂²×C₄	—	4	4	no	—
1063	C₂²×C₄	—	13	1	no	—
1064	C₂²×C₄	—	13	8	no	—
1065	C₂²×C₄	—	13	4	no	—
1066	C₂²×C₄	—	13	4	no	—
1067	C₂²×C₄	—	13	1	no	—
1068	C₂²×C₄	—	13	1	no	—
1069	C₂²×C₄	—	13	2	no	—
1070	C₂²×C₄	—	13	1	no	—
1071	C₂²×C₄	—	13	1	no	—
1072	C₂²×C₄	—	13	2	no	—
1073	C₂²×C₄	—	13	1	no	—
1074	C₂²×C₄	—	13	2	no	—
1075	C₂²×C₄	—	13	8	no	—
1076	C₂²×C₄	—	13	4	no	—
1077	C₂²×C₄	—	13	4	no	—
1078	C₂²×C₄	—	13	8	no	—
1079	C₂²×C₄	—	13	4	no	—
1080	C₂²×C₄	—	13	4	no	—
1081	C₂²×C₄	—	13	8	no	—
1082	C₂²×C₄	—	13	4	no	—
1083	C₂²×C₄	—	13	8	no	—
1084	C₂²×C₄	—	13	4	no	—
1085	C₂²×C₄	—	13	4	no	—
1086	C₂²×C₄	—	13	8	no	—
1087	C₂²×C₄	—	13	8	no	—
1088	C₂²×C₄	—	26	4	no	—
1089	C₂²×C₄	—	26	32	no	—
1090	C₂²×C₄	—	26	4	no	—
1091	C₂²×C₄	—	26	4	no	—
1092	C₂²×C₄	—	26	8	no	—
1093	C₂²×C₄	—	26	8	no	—
1094	C₂²×C₄	—	26	8	no	—
1095	C₂²×C₄	—	26	4	no	—
1096	C₂²×C₄	—	26	4	no	—
1097	C₂²×C₄	—	26	4	no	—
1098	C₂²×C₄	—	26	4	no	—
1099	C₂²×C₄	—	26	4	no	—
1100	C₂²×C₄	—	52	4	no	—
1101	C₂²×C₄	—	52	4	no	—
1102	C₂²×C₄	—	52	32	no	—
1103	C₂²×C₄	—	52	4	no	—
1104	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1105	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1108	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1111	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1112	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1113	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1114	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1115	C₄⋊C₄	—	13	4	no	—
1116	C₄⋊C₄	—	13	4	no	—
1117	C₄⋊C₄	—	13	4	no	—
1118	C₄⋊C₄	—	13	4	no	—
1119	C₄⋊C₄	—	13	4	no	—
1120	C₄⋊C₄	—	13	4	no	—
1121	C₄⋊C₄	—	13	8	no	—
1122	C₄⋊C₄	—	13	4	no	—
1123	C₄⋊C₄	—	13	8	no	—
1124	C₄⋊C₄	—	13	4	no	—
1125	C₄⋊C₄	—	13	8	no	—
1126	C₄⋊C₄	—	13	8	no	—
1127	C₄⋊C₄	—	13	8	no	—
1128	C₄⋊C₄	—	13	8	no	—
1129	C₄⋊C₄	—	13	8	no	—
1130	C₄⋊C₄	—	13	8	no	—
1131	C₄⋊C₄	—	13	8	no	—
1132	C₄⋊C₄	—	13	8	no	—
1133	C₄⋊C₄	—	13	8	no	—
1134	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1135	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1136	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1137	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1138	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1139	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1140	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1141	C₂²⋊C₄	—	13	4	no	—
1142	C₂²⋊C₄	—	13	4	no	—
1143	C₂²⋊C₄	—	13	8	no	—
1144	C₂²⋊C₄	—	13	8	no	—
1145	C₂²⋊C₄	—	13	8	no	—
1146	C₂²⋊C₄	—	13	8	no	—
1147	C₂²⋊C₄	—	13	8	no	—
1148	C₂²⋊C₄	—	13	4	no	—
1149	C₂²⋊C₄	—	13	4	no	—
1150	C₂²⋊C₄	—	13	4	no	—
1151	C₂²⋊C₄	—	13	4	no	—
1152	C₂²⋊C₄	—	13	8	no	—
1153	C₂²⋊C₄	—	13	8	no	—
1154	C₂²⋊C₄	—	13	8	no	—
1155	C₂²⋊C₄	—	13	8	no	—
1156	C₂²⋊C₄	—	13	8	no	—
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	C₂³×D₁₃	1	4	yes	—
1163	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1164	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1165	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1166	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1167	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1168	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1169	C₄²	—	13	4	no	—
1170	C₄²	—	13	4	no	—
1171	C₄²	—	13	4	no	—
1172	C₄²	—	13	4	no	—
1173	C₄²	—	13	4	no	—
1174	C₄²	—	13	4	no	—
1175	C₄²	—	13	8	no	—
1176	C₄²	—	13	8	no	—
1177	C₄²	—	13	8	no	—
1178	C₄²	C₂³×D₁₃	1	4	yes	—
1179	C₄²	C₂³×D₁₃	1	4	yes	—
1180	C₄²	C₂³×D₁₃	1	8	yes	—
1181	C₁₃	C₂²×#542	1	1	yes	characteristic, complemented, Sylow
1182	C₂³	—	2	2	no	—
1183	C₂³	—	2	4	no	—
1184	C₂³	—	2	4	no	—
1185	C₂³	—	2	2	no	—
1186	C₂³	—	2	2	no	—
1187	C₂³	—	2	4	no	—
1188	C₂³	—	13	4	no	—
1189	C₂³	—	13	4	no	—
1190	C₂³	—	13	4	no	—
1191	C₂³	—	13	2	no	—
1192	C₂³	—	13	2	no	—
1193	C₂³	—	13	4	no	—
1194	C₂³	—	26	8	no	—
1195	C₂³	—	26	16	no	—
1196	C₂³	—	26	16	no	—
1197	C₂³	—	26	8	no	—
1198	C₂³	—	26	8	no	—
1199	C₂³	—	26	16	no	—
1200	C₂³	—	26	2	no	—
1201	C₂³	—	26	4	no	—
1202	C₂³	—	26	4	no	—
1203	C₂³	—	26	2	no	—
1204	C₂³	—	26	2	no	—
1205	C₂³	—	26	4	no	—
1206	C₂³	—	52	16	no	—
1207	C₂³	—	52	32	no	—
1208	C₂³	C₂⁴×D₁₃	1	2	yes	—
1209	C₂³	C₂⁴×D₁₃	1	4	yes	—
1210	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1211	Q₈	—	2	8	no	—
1212	Q₈	—	4	8	no	—
1213	Q₈	—	26	16	no	—
1214	Q₈	—	26	8	no	—
1215	Q₈	—	52	8	no	—
1216	Q₈	—	52	8	no	—
1217	Q₈	—	52	8	no	—
1218	D₄	—	2	8	no	—
1219	D₄	—	4	8	no	—
1220	D₄	—	26	16	no	—
1221	D₄	—	26	8	no	—
1222	D₄	—	52	8	no	—
1223	D₄	—	52	8	no	—
1224	D₄	—	52	8	no	—
1225	C₂×C₄	—	2	2	no	—
1226	C₂×C₄	—	2	4	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	2	4	no	—
1229	C₂×C₄	—	2	4	no	—
1230	C₂×C₄	—	2	2	no	—
1231	C₂×C₄	—	2	2	no	—
1232	C₂×C₄	—	2	2	no	—
1233	C₂×C₄	—	2	8	no	—
1234	C₂×C₄	—	4	8	no	—
1235	C₂×C₄	—	13	4	no	—
1236	C₂×C₄	—	13	2	no	—
1237	C₂×C₄	—	13	16	no	—
1238	C₂×C₄	—	13	2	no	—
1239	C₂×C₄	—	13	2	no	—
1240	C₂×C₄	—	13	4	no	—
1241	C₂×C₄	—	13	2	no	—
1242	C₂×C₄	—	13	2	no	—
1243	C₂×C₄	—	13	4	no	—
1244	C₂×C₄	—	13	2	no	—
1245	C₂×C₄	—	13	4	no	—
1246	C₂×C₄	—	26	8	no	—
1247	C₂×C₄	—	26	8	no	—
1248	C₂×C₄	—	26	8	no	—
1249	C₂×C₄	—	26	8	no	—
1250	C₂×C₄	—	26	8	no	—
1251	C₂×C₄	—	26	16	no	—
1252	C₂×C₄	—	26	16	no	—
1253	C₂×C₄	—	26	16	no	—
1254	C₂×C₄	—	26	8	no	—
1255	C₂×C₄	—	26	8	no	—
1256	C₂×C₄	—	26	2	no	—
1257	C₂×C₄	—	26	4	no	—
1258	C₂×C₄	—	26	2	no	—
1259	C₂×C₄	—	26	4	no	—
1260	C₂×C₄	—	26	4	no	—
1261	C₂×C₄	—	26	2	no	—
1262	C₂×C₄	—	26	2	no	—
1263	C₂×C₄	—	26	2	no	—
1264	C₂×C₄	—	26	8	no	—
1265	C₂×C₄	—	52	8	no	—
1266	C₂×C₄	—	52	8	no	—
1267	C₂×C₄	—	52	8	no	—
1268	C₂×C₄	#41×D₁₃	1	4	yes	—
1269	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1270	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1271	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1272	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1273	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1274	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1275	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1276	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1277	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1278	C₂²	—	2	2	no	—
1279	C₂²	—	2	4	no	—
1280	C₂²	—	2	4	no	—
1281	C₂²	—	2	2	no	—
1282	C₂²	—	2	2	no	—
1283	C₂²	—	2	4	no	—
1284	C₂²	—	4	4	no	—
1285	C₂²	—	4	8	no	—
1286	C₂²	—	13	16	no	—
1287	C₂²	—	13	4	no	—
1288	C₂²	—	13	4	no	—
1289	C₂²	—	13	4	no	—
1290	C₂²	—	26	2	no	—
1291	C₂²	—	26	4	no	—
1292	C₂²	—	26	4	no	—
1293	C₂²	—	26	2	no	—
1294	C₂²	—	26	2	no	—
1295	C₂²	—	26	4	no	—
1296	C₂²	—	52	16	no	—
1297	C₂²	—	52	32	no	—
1298	C₂²	—	52	4	no	—
1299	C₂²	—	52	8	no	—
1300	C₂²	C₂×#41×D₁₃	1	2	yes	—
1301	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1302	C₂²	D₁₃×2₋¹⁺⁴	1	2	yes	—
1303	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1304	C₄	—	2	2	no	—
1305	C₄	—	2	4	no	—
1306	C₄	—	2	2	no	—
1307	C₄	—	2	4	no	—
1308	C₄	—	2	4	no	—
1309	C₄	—	2	2	no	—
1310	C₄	—	2	2	no	—
1311	C₄	—	2	2	no	—
1312	C₄	—	13	4	no	—
1313	C₄	—	26	2	no	—
1314	C₄	—	26	4	no	—
1315	C₄	—	26	2	no	—
1316	C₄	—	26	4	no	—
1317	C₄	—	26	4	no	—
1318	C₄	—	26	2	no	—
1319	C₄	—	26	2	no	—
1320	C₄	—	26	2	no	—
1321	C₄	C₂×#41×D₁₃	1	4	yes	—
1322	C₂	—	4	2	no	—
1323	C₂	—	4	4	no	—
1324	C₂	—	13	8	no	—
1325	C₂	—	52	2	no	—
1326	C₂	—	52	4	no	—
1327	C₂	D₁₃×#542	1	4	yes	direct product factor
1328	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1329	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1330	C₂	C₂×D₁₃×2₋¹⁺⁴	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#542	C₂
socle	C₂³×C₁₃	C₂⁵
prime radical	C₂×D₁₃×#121	C₂
hypercenter	C₂×#542	D₁₃
hypocenter	C₁₃	C₂²×#542
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. C₂×#11719438	C₂	semidirect
2. C₂×#11719348	C₂	semidirect
3. C₂×#11719287	C₂	semidirect
4. C₂×#11719239	C₂	semidirect
5. C₂×#11719345	C₂	semidirect
6. C₂×#11719387	C₂	semidirect
7. C₂×#11719367	C₂	semidirect
8. C₂×#11719308	C₂	semidirect
9. C₂×#11719415	C₂	semidirect
10. C₂×#11719266	C₂	semidirect
11. C₂×#11719374	C₂	semidirect
12. D₁₃×#542	C₂	direct (N × H)
13. C₂×D₁₃×C₄⋊Q₈	C₂	semidirect
14. C₂×D₁₃×#126	C₂	semidirect
15. C₂×D₁₃×#124	C₂	semidirect
16. C₂×D₁₃×#124	C₂	semidirect
17. C₂×D₁₃×#123	C₂	semidirect
18. C₂×D₁₃×C₂²⋊Q₈	C₂	semidirect
19. C₂×D₁₃×C₂²⋊Q₈	C₂	semidirect
21. C₂×C₄×Q₈×D₁₃	C₂	semidirect
22. C₂×C₄×D₄×D₁₃	C₂	semidirect
23. C₂×D₁₃×#117	C₂	semidirect
24. C₂×C₁₃×#542	C₂	semidirect
31. C₁₃×#542	C₂²	semidirect
32. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
33. C₂×C₁₃×#126	C₂²	semidirect
34. C₂×C₁₃×#124	C₂²	semidirect
35. C₂×C₁₃×#124	C₂²	semidirect
36. C₂×C₁₃×#123	C₂²	semidirect
37. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
38. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
40. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
41. C₂×C₄×D₄×C₁₃	C₂²	semidirect
42. C₂×C₁₃×#117	C₂²	semidirect
43. C₂×#88201	C₂²	semidirect
44. C₂×#88201	C₂²	semidirect
45. C₂×#88200	C₂²	semidirect
46. C₂×#88200	C₂²	semidirect
47. C₂×Q₈×Dic₁₃	C₂²	semidirect
48. C₂×#88198	C₂²	semidirect
51. C₂×#88190	C₂²	semidirect
52. C₂×#88190	C₂²	semidirect
53. C₂×#88189	C₂²	semidirect
54. C₂×D₄×Dic₁₃	C₂²	semidirect
56. C₂×#88183	C₂²	semidirect
57. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
58. C₂×#88180	C₂²	semidirect
59. C₂×#88178	C₂²	semidirect
60. C₂×#88178	C₂²	semidirect
61. #11719438	C₂²	semidirect
62. D₁₃×C₄⋊Q₈	C₂²	semidirect
63. #11719415	C₂²	semidirect
64. D₁₃×#126	C₂²	semidirect
65. #11719387	C₂²	semidirect
66. D₁₃×#124	C₂²	semidirect
67. D₁₃×#124	C₂²	semidirect
68. #11719374	C₂²	semidirect
69. #11719367	C₂²	semidirect
70. D₁₃×#123	C₂²	semidirect
71. #11719348	C₂²	semidirect
72. #11719345	C₂²	semidirect
73. D₁₃×C₂²⋊Q₈	C₂²	semidirect
74. D₁₃×C₂²⋊Q₈	C₂²	semidirect
76. #11719308	C₂²	semidirect
77. #11719287	C₂²	semidirect
78. C₄×Q₈×D₁₃	C₂²	semidirect
79. #11719266	C₂²	semidirect
80. C₄×D₄×D₁₃	C₂²	semidirect
81. #11719239	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×#88151	C₂²	semidirect
88. C₂×#88150	C₂²	semidirect
89. C₂×#88150	C₂²	semidirect
90. C₂×#88150	C₂²	semidirect
92. C₂×#88148	C₂²	semidirect
93. C₂×#88148	C₂²	semidirect
94. C₂×#88147	C₂²	semidirect
95. C₂×#88146	C₂²	semidirect
96. C₂×#88146	C₂²	semidirect
104. C₂×#88142	C₂²	semidirect
105. C₂×#88142	C₂²	semidirect
106. C₂×#88142	C₂²	semidirect
107. C₂×#88141	C₂²	semidirect
108. C₂×#88141	C₂²	semidirect
109. C₂×#88140	C₂²	semidirect
110. C₂×#88139	C₂²	semidirect
111. C₂×#88139	C₂²	semidirect
112. C₂×#88139	C₂²	semidirect
113. C₂×#88139	C₂²	semidirect
114. C₂×#88139	C₂²	semidirect
115. C₂×#88139	C₂²	semidirect
117. C₂×#88137	C₂²	semidirect
118. C₂×#88137	C₂²	semidirect
119. C₂×#88135	C₂²	semidirect
127. C₂×#88133	C₂²	semidirect
128. C₂×#88133	C₂²	semidirect
129. C₂×#88133	C₂²	semidirect
130. C₂×#88132	C₂²	semidirect
131. C₂×#88132	C₂²	semidirect
132. C₂×#88132	C₂²	semidirect
133. C₂×#88131	C₂²	semidirect
134. C₂×#88131	C₂²	semidirect
135. C₂×#88130	C₂²	semidirect
136. C₂×#88129	C₂²	semidirect
137. C₂×#88129	C₂²	semidirect
138. C₂×C₄×D₅₂	C₂²	semidirect
139. C₂×#88126	C₂²	semidirect
140. C₂×#88126	C₂²	semidirect
144. C₂×#88123	C₂²	semidirect
145. C₂×C₄×Dic₂₆	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
192. C₁₃×C₄⋊Q₈	C₂³	semidirect
193. C₁₃×#126	C₂³	semidirect
194. C₁₃×#124	C₂³	semidirect
195. C₁₃×#124	C₂³	semidirect
196. C₁₃×#123	C₂³	semidirect
197. C₁₃×C₂²⋊Q₈	C₂³	semidirect
198. C₁₃×C₂²⋊Q₈	C₂³	semidirect
200. C₄×Q₈×C₁₃	C₂³	semidirect
201. C₄×D₄×C₁₃	C₂³	semidirect
202. C₁₃×#117	C₂³	semidirect
227. #88201	C₂³	semidirect
228. #88201	C₂³	semidirect
229. #88200	C₂³	semidirect
230. #88200	C₂³	semidirect
231. Q₈×Dic₁₃	C₂³	semidirect
232. #88198	C₂³	semidirect
235. #88190	C₂³	semidirect
236. #88190	C₂³	semidirect
237. #88189	C₂³	semidirect
238. D₄×Dic₁₃	C₂³	semidirect
240. #88183	C₂³	semidirect
241. C₄×C₂²⋊D₁₃	C₂³	semidirect
256. #88180	C₂³	semidirect
264. #88178	C₂³	semidirect
265. #88178	C₂³	semidirect
287. #88152	C₂³	semidirect
288. #88152	C₂³	semidirect
289. #88152	C₂³	semidirect
290. #88151	C₂³	semidirect
291. #88151	C₂³	semidirect
292. #88150	C₂³	semidirect
293. #88150	C₂³	semidirect
294. #88150	C₂³	semidirect
296. #88148	C₂³	semidirect
297. #88148	C₂³	semidirect
298. #88147	C₂³	semidirect
299. #88146	C₂³	semidirect
300. #88146	C₂³	semidirect
308. #88142	C₂³	semidirect
309. #88142	C₂³	semidirect
310. #88142	C₂³	semidirect
311. #88141	C₂³	semidirect
312. #88141	C₂³	semidirect
313. #88140	C₂³	semidirect
314. #88139	C₂³	semidirect
315. #88139	C₂³	semidirect
316. #88139	C₂³	semidirect
317. #88139	C₂³	semidirect
318. #88139	C₂³	semidirect
319. #88139	C₂³	semidirect
321. #88137	C₂³	semidirect
322. #88137	C₂³	semidirect
323. #88135	C₂³	semidirect
331. #88133	C₂³	semidirect
332. #88133	C₂³	semidirect
333. #88133	C₂³	semidirect
334. #88132	C₂³	semidirect
335. #88132	C₂³	semidirect
336. #88132	C₂³	semidirect
337. #88131	C₂³	semidirect
338. #88131	C₂³	semidirect
339. #88130	C₂³	semidirect
340. #88129	C₂³	semidirect
341. #88129	C₂³	semidirect
342. C₄×D₅₂	C₂³	semidirect
343. #88126	C₂³	semidirect
344. #88126	C₂³	semidirect
348. #88123	C₂³	semidirect
349. C₄×Dic₂₆	C₂³	semidirect
350. C₄×Dic₂₆	C₂³	semidirect
529. C₂×#542	D₁₃	direct (N × H)
654. #542	C₂×D₁₃	direct (N × H)
661. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
670. C₂×#126	C₂×D₁₃	semidirect
685. C₂×#124	C₂×D₁₃	semidirect
686. C₂×#124	C₂×D₁₃	semidirect
695. C₂×#123	C₂×D₁₃	semidirect
710. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
711. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
725. C₂×C₄×Q₈	C₂×D₁₃	semidirect
732. C₂×C₄×D₄	C₂×D₁₃	semidirect
741. C₂×#117	C₂×D₁₃	semidirect
781. C₂×D₁₃	#542	direct (N × H)
853. C₄⋊Q₈	C₂²×D₁₃	semidirect
861. #126	C₂²×D₁₃	semidirect
874. #124	C₂²×D₁₃	semidirect
875. #124	C₂²×D₁₃	semidirect
883. #123	C₂²×D₁₃	semidirect
896. C₂²⋊Q₈	C₂²×D₁₃	semidirect
897. C₂²⋊Q₈	C₂²×D₁₃	semidirect
909. C₄×Q₈	C₂²×D₁₃	semidirect
915. C₄×D₄	C₂²×D₁₃	semidirect
923. #117	C₂²×D₁₃	semidirect
1009. C₂×C₁₃	C₂×#542	semidirect
1015. D₁₃	C₂×#542	direct (N × H)
1181. C₁₃	C₂²×#542	semidirect
1327. C₂	D₁₃×#542	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×#11719438	2
C₂×#11719348	2
C₂×#11719287	2
C₂×#11719239	2
C₂×#11719345	2
C₂×#11719387	2
C₂×#11719367	2
C₂×#11719308	2
C₂×#11719415	2
C₂×#11719266	2
C₂×#11719374	2
D₁₃×#542	2
C₂×D₁₃×C₄⋊Q₈	2
C₂×D₁₃×#126	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
C₂×C₁₃×#542	2
C₂²×#542	13

Subgroups — C2×D13×#542 #16769698

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₁₃×#542 #16769698