Subgroups — C₂×#13129152 #16770052

Order 3328.

8122 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129152	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719352	C₂	1	2	yes	maximal, complemented
3	C₂×#11719325	C₂	1	2	yes	maximal, complemented
4	C₂×#11719268	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719270	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719246	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719342	C₂	1	2	yes	maximal, complemented
8	C₂×#11719258	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719260	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719255	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719255	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719315	C₂	1	2	yes	maximal, complemented
13	C₂×D₄×D₅₂	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719239	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719240	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719368	C₂	1	2	yes	maximal, complemented
17	C₂×#11719362	C₂	1	2	yes	maximal, complemented
18	C₂×#11719538	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719297	C₂	1	2	yes	maximal, complemented
20	C₂×#11719535	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11719294	C₂	1	2	yes	maximal, complemented
22	C₂×#11719496	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#88184	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂⁴×C₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
27	C₂³×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
28	C₂²×#6129	C₂²	1	2	yes	complemented
29	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
30	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
32	C₂³×D₅₂	C₂²	1	1	yes	characteristic
33	C₂³×D₅₂	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#525	C₂²	1	16	yes	complemented
35	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#120	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88207	C₂²	1	2	yes	complemented
49	#11719538	C₂²	1	16	yes	complemented
50	#11719535	C₂²	1	16	yes	complemented
51	C₂×#88201	C₂²	1	2	yes	complemented
52	C₂×#88200	C₂²	1	2	yes	complemented
53	C₂×#88194	C₂²	1	2	yes	complemented
54	C₂×#88194	C₂²	1	2	yes	complemented
55	C₂×#88193	C₂²	1	2	yes	complemented
56	C₂×#88193	C₂²	1	2	yes	complemented
57	C₂×#88193	C₂²	1	2	yes	complemented
58	C₂×#88192	C₂²	1	2	yes	complemented
59	C₂×#88192	C₂²	1	2	yes	complemented
60	C₂×#88191	C₂²	1	2	yes	complemented
61	C₂×#88191	C₂²	1	2	yes	complemented
62	C₂×#88191	C₂²	1	2	yes	complemented
63	C₂×#88191	C₂²	1	2	yes	complemented
64	C₂×#88189	C₂²	1	2	yes	—
65	#11719496	C₂²	1	16	yes	complemented
66	C₂×#88184	C₂²	1	1	yes	characteristic
67	C₂×#88184	C₂²	1	1	yes	characteristic
68	C₂×#88184	C₂²	1	1	yes	characteristic
69	C₂×#88184	C₂²	1	2	yes	complemented
70	C₂×#88184	C₂²	1	2	yes	complemented
71	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
72	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
73	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
74	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
75	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
76	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
77	C₂×#88184	C₂²	1	16	yes	complemented
78	C₂×#88183	C₂²	1	2	yes	complemented
79	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
80	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
81	C₂²×#6103	C₂²	1	2	yes	complemented
82	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
83	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
84	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
85	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
86	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
87	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
88	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
89	#11719368	C₂²	1	32	yes	complemented
90	#11719362	C₂²	1	32	yes	complemented
91	#11719352	C₂²	1	32	yes	complemented
92	#11719342	C₂²	1	32	yes	complemented
93	#11719325	C₂²	1	32	yes	complemented
94	#11719315	C₂²	1	32	yes	complemented
95	#11719297	C₂²	1	32	yes	complemented
96	#11719294	C₂²	1	32	yes	complemented
97	#11719270	C₂²	1	16	yes	complemented
98	#11719268	C₂²	1	16	yes	complemented
99	#11719260	C₂²	1	16	yes	complemented
100	#11719258	C₂²	1	16	yes	complemented
101	#11719255	C₂²	1	16	yes	complemented
102	#11719255	C₂²	1	16	yes	complemented
103	D₄×D₅₂	C₂²	1	16	yes	complemented
104	#11719246	C₂²	1	16	yes	complemented
105	#11719240	C₂²	1	16	yes	complemented
106	#11719239	C₂²	1	16	yes	complemented
107	C₂×#88152	C₂²	1	2	yes	complemented
108	C₂×#88152	C₂²	1	2	yes	complemented
109	C₂×#88151	C₂²	1	2	yes	complemented
110	C₂×#88150	C₂²	1	2	yes	complemented
111	C₂×#88149	C₂²	1	2	yes	complemented
112	C₂×#88148	C₂²	1	2	yes	complemented
113	C₂×#88148	C₂²	1	2	yes	complemented
114	C₂×#88148	C₂²	1	2	yes	complemented
115	C₂×#88148	C₂²	1	2	yes	complemented
116	C₂×#88147	C₂²	1	2	yes	complemented
117	C₂×#88146	C₂²	1	2	yes	complemented
118	C₂×#88143	C₂²	1	2	yes	complemented
119	C₂×#88140	C₂²	1	2	yes	complemented
120	C₂×#88140	C₂²	1	2	yes	complemented
121	C₂×#88139	C₂²	1	2	yes	complemented
122	C₂×#88139	C₂²	1	2	yes	complemented
123	C₂×#88139	C₂²	1	2	yes	complemented
124	C₂×#88138	C₂²	1	2	yes	complemented
125	C₂×#88138	C₂²	1	2	yes	complemented
126	C₂×#88138	C₂²	1	2	yes	complemented
127	C₂×#88138	C₂²	1	2	yes	complemented
128	C₂×#88138	C₂²	1	2	yes	complemented
129	C₂×#88138	C₂²	1	2	yes	complemented
130	C₂×#88137	C₂²	1	2	yes	complemented
131	C₂×#88137	C₂²	1	2	yes	complemented
132	C₂×#88136	C₂²	1	2	yes	—
133	C₂×#88136	C₂²	1	2	yes	complemented
134	C₂×#88135	C₂²	1	2	yes	complemented
135	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
136	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
137	C₂×#88133	C₂²	1	2	yes	complemented
138	C₂×#88131	C₂²	1	2	yes	complemented
139	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
140	C₂×#88128	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
144	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
145	C₂×#88123	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁵×C₁₃	C₂³	1	1	yes	characteristic
148	C₂⁴×D₁₃	C₂³	1	2	yes	—
149	C₂⁴×D₁₃	C₂³	1	2	yes	—
150	C₂×C₁₃×#41	—	4	4	no	—
151	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
152	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
153	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
155	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
156	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
157	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
158	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
159	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
160	C₂³×C₄×C₁₃	—	4	4	no	—
161	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
166	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
167	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
168	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
169	C₂³×C₄×C₁₃	C₂³	1	8	yes	complemented
170	C₂²×C₂²⋊D₁₃	—	4	8	no	—
171	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
179	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
180	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
181	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
182	C₂²×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
183	C₂³×Dic₁₃	C₂³	1	2	yes	—
184	C₂³×Dic₁₃	C₂³	1	2	yes	—
185	C₂×#6129	—	4	8	no	—
186	C₂×#6129	C₂³	1	16	yes	complemented
187	C₂×D₄×D₁₃	—	4	8	no	—
188	C₂×D₄×D₁₃	C₂³	1	16	yes	—
189	C₂×#6127	—	4	4	no	—
190	C₂×#6127	—	4	4	no	—
191	C₂×#6127	C₂³	1	8	yes	complemented
192	C₂×#6127	C₂³	1	8	yes	complemented
193	C₂²×D₅₂	—	4	4	no	—
194	C₂²×D₅₂	—	4	4	no	—
195	C₂²×D₅₂	C₂³	1	1	yes	characteristic
196	C₂²×D₅₂	C₂³	1	1	yes	characteristic
197	C₂²×D₅₂	C₂³	1	1	yes	characteristic
198	C₂²×D₅₂	C₂³	1	2	yes	—
199	C₂²×D₅₂	C₂³	1	2	yes	—
200	C₂²×D₅₂	C₂³	1	2	yes	—
201	C₂²×D₅₂	C₂³	1	2	yes	—
202	C₂²×D₅₂	C₂³	1	8	yes	—
203	C₂²×D₅₂	C₂³	1	8	yes	complemented
204	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
205	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
206	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
207	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
208	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
209	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
210	C₂²×Dic₂₆	C₂³	1	2	yes	—
211	C₁₃×#123	C₂³	1	8	yes	complemented
212	C₁₃×#123	C₂³	1	8	yes	complemented
213	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
214	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
215	C₁₃×#121	C₂³	1	8	yes	—
216	C₁₃×#121	C₂³	1	8	yes	complemented
217	C₁₃×#120	C₂³	1	8	yes	—
218	C₁₃×#120	C₂³	1	8	yes	complemented
219	C₄×D₄×C₁₃	C₂³	1	8	yes	—
220	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
221	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
222	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
223	C₁₃×#117	C₂³	1	8	yes	complemented
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
242	#88207	C₂³	1	16	yes	complemented
243	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
244	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
245	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
246	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
247	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
248	#88201	C₂³	1	16	yes	complemented
249	#88200	C₂³	1	16	yes	complemented
250	#88194	C₂³	1	16	yes	complemented
251	#88194	C₂³	1	16	yes	complemented
252	#88193	C₂³	1	16	yes	complemented
253	#88193	C₂³	1	16	yes	complemented
254	#88193	C₂³	1	16	yes	complemented
255	#88192	C₂³	1	16	yes	complemented
256	#88192	C₂³	1	16	yes	complemented
257	#88191	C₂³	1	16	yes	complemented
258	#88191	C₂³	1	16	yes	complemented
259	#88191	C₂³	1	16	yes	complemented
260	#88191	C₂³	1	16	yes	complemented
261	#88189	C₂³	1	16	yes	—
262	#88184	C₂³	1	8	yes	—
263	#88184	C₂³	1	8	yes	—
264	#88184	C₂³	1	8	yes	—
265	#88184	C₂³	1	8	yes	complemented
266	#88184	C₂³	1	8	yes	complemented
267	#88184	C₂³	1	16	yes	complemented
268	#88184	C₂³	1	16	yes	complemented
269	#88184	C₂³	1	8	yes	complemented
270	#88184	C₂³	1	8	yes	complemented
271	#88184	C₂³	1	8	yes	complemented
272	#88184	C₂³	1	8	yes	complemented
273	#88183	C₂³	1	16	yes	complemented
274	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
275	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
276	C₂×#6103	C₂³	1	2	yes	—
277	C₂×#6103	C₂³	1	2	yes	—
278	C₂×#6103	C₂³	1	2	yes	—
279	C₂×#6103	C₂³	1	2	yes	—
280	C₂×#6103	C₂³	1	2	yes	—
281	C₂×#6103	C₂³	1	2	yes	—
282	C₂×#6103	C₂³	1	2	yes	—
283	C₂×#6103	C₂³	1	2	yes	—
284	C₂×#6103	C₂³	1	2	yes	—
285	C₂×#6103	C₂³	1	2	yes	—
286	C₂×#6103	C₂³	1	2	yes	—
287	C₂×#6103	C₂³	1	2	yes	—
288	C₂×#6103	C₂³	1	2	yes	—
289	C₂×#6103	C₂³	1	2	yes	—
290	C₂×#6103	C₂³	1	16	yes	complemented
291	#88180	C₂³	1	8	yes	complemented
292	#88180	C₂³	1	8	yes	complemented
293	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
296	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
299	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
300	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
301	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
302	#88178	C₂³	1	8	yes	complemented
303	#88178	C₂³	1	8	yes	complemented
304	#88178	C₂³	1	8	yes	complemented
305	C₂×#6101	C₂³	1	2	yes	—
306	C₂×#6101	C₂³	1	2	yes	—
307	C₂×#6101	C₂³	1	2	yes	—
308	C₂×#6101	C₂³	1	2	yes	—
309	C₂×#6101	C₂³	1	2	yes	—
310	C₂×#6101	C₂³	1	2	yes	—
311	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
312	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
313	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
314	#88152	C₂³	1	16	yes	complemented
315	#88152	C₂³	1	16	yes	complemented
316	#88151	C₂³	1	16	yes	complemented
317	#88150	C₂³	1	16	yes	complemented
318	#88149	C₂³	1	16	yes	complemented
319	#88148	C₂³	1	16	yes	complemented
320	#88148	C₂³	1	16	yes	complemented
321	#88148	C₂³	1	16	yes	complemented
322	#88148	C₂³	1	16	yes	complemented
323	#88147	C₂³	1	16	yes	complemented
324	#88146	C₂³	1	16	yes	complemented
325	#88143	C₂³	1	16	yes	complemented
326	#88140	C₂³	1	16	yes	complemented
327	#88140	C₂³	1	16	yes	complemented
328	#88139	C₂³	1	16	yes	complemented
329	#88139	C₂³	1	16	yes	complemented
330	#88139	C₂³	1	16	yes	complemented
331	#88138	C₂³	1	16	yes	complemented
332	#88138	C₂³	1	16	yes	complemented
333	#88138	C₂³	1	16	yes	complemented
334	#88138	C₂³	1	16	yes	complemented
335	#88138	C₂³	1	16	yes	complemented
336	#88138	C₂³	1	16	yes	complemented
337	#88137	C₂³	1	16	yes	complemented
338	#88137	C₂³	1	16	yes	complemented
339	#88136	C₂³	1	16	yes	—
340	#88136	C₂³	1	16	yes	complemented
341	#88135	C₂³	1	16	yes	complemented
342	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
343	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
344	#88133	C₂³	1	16	yes	complemented
345	#88131	C₂³	1	16	yes	complemented
346	#88129	C₂³	1	8	yes	complemented
347	#88128	C₂³	1	8	yes	complemented
348	C₄×D₅₂	C₂³	1	8	yes	complemented
349	C₄×D₅₂	C₂³	1	8	yes	complemented
350	C₄×D₅₂	C₂³	1	8	yes	complemented
351	#88124	C₂³	1	8	yes	complemented
352	#88123	C₂³	1	8	yes	complemented
353	C₄×Dic₂₆	C₂³	1	8	yes	complemented
354	C₂×#3542	—	13	1	no	maximal, Sylow
355	C₂⁴×C₁₃	—	2	4	no	—
356	C₂⁴×C₁₃	—	4	2	no	—
357	C₂⁴×C₁₃	—	4	2	no	—
358	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
361	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
362	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
363	C₂⁴×C₁₃	C₂⁴	1	4	yes	—
364	C₂³×D₁₃	—	2	8	no	—
365	C₂³×D₁₃	—	4	4	no	—
366	C₂³×D₁₃	—	4	4	no	—
367	C₂³×D₁₃	—	4	4	no	—
368	C₂³×D₁₃	—	4	4	no	—
369	C₂³×D₁₃	—	4	4	no	—
370	C₂³×D₁₃	C₂⁴	1	2	yes	—
371	C₂³×D₁₃	C₂⁴	1	2	yes	—
372	C₂³×D₁₃	C₂⁴	1	2	yes	—
373	C₂³×D₁₃	C₂⁴	1	8	yes	—
374	C₂³×D₁₃	C₂⁴	1	8	yes	—
375	C₁₃×#41	—	4	16	no	—
376	C₂×Q₈×C₁₃	—	4	2	no	—
377	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
378	C₂×D₄×C₁₃	—	2	4	no	—
379	C₂×D₄×C₁₃	—	2	4	no	—
380	C₂×D₄×C₁₃	—	4	2	no	—
381	C₂×D₄×C₁₃	—	4	2	no	—
382	C₂×D₄×C₁₃	—	4	2	no	—
383	C₂×D₄×C₁₃	—	4	2	no	—
384	C₂×D₄×C₁₃	—	4	2	no	—
385	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
386	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
387	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
388	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
389	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
390	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
391	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
392	C₂²×C₄×C₁₃	—	2	4	no	—
393	C₂²×C₄×C₁₃	—	2	4	no	—
394	C₂²×C₄×C₁₃	—	2	4	no	—
395	C₂²×C₄×C₁₃	—	2	4	no	—
396	C₂²×C₄×C₁₃	—	2	4	no	—
397	C₂²×C₄×C₁₃	—	4	16	no	—
398	C₂²×C₄×C₁₃	—	4	2	no	—
399	C₂²×C₄×C₁₃	—	4	2	no	—
400	C₂²×C₄×C₁₃	—	4	2	no	—
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
408	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
409	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
413	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
414	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
416	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
417	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
418	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
419	C₂×C₂²⋊D₁₃	—	2	8	no	—
420	C₂×C₂²⋊D₁₃	—	4	4	no	—
421	C₂×C₂²⋊D₁₃	—	4	4	no	—
422	C₂×C₂²⋊D₁₃	—	4	4	no	—
423	C₂×C₂²⋊D₁₃	—	4	4	no	—
424	C₂×C₂²⋊D₁₃	—	4	4	no	—
425	C₂×C₂²⋊D₁₃	—	4	4	no	—
426	C₂×C₂²⋊D₁₃	—	4	4	no	—
427	C₂×C₂²⋊D₁₃	—	4	4	no	—
428	C₂×C₂²⋊D₁₃	—	4	32	no	—
429	C₂×C₂²⋊D₁₃	—	4	4	no	—
430	C₂×C₂²⋊D₁₃	—	4	4	no	—
431	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
432	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
433	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
434	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
435	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
436	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
437	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
438	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
439	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
440	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
441	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
442	C₂²×Dic₁₃	—	2	8	no	—
443	C₂²×Dic₁₃	—	4	4	no	—
444	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
445	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
446	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
447	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
448	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
449	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
450	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
451	#6129	—	4	32	no	—
452	D₄×D₁₃	—	4	32	no	—
453	#6127	—	4	16	no	—
454	#6127	—	4	16	no	—
455	C₂×D₅₂	—	2	4	no	—
456	C₂×D₅₂	—	2	4	no	—
457	C₂×D₅₂	—	2	4	no	—
458	C₂×D₅₂	—	4	16	no	—
459	C₂×D₅₂	—	4	16	no	—
460	C₂×D₅₂	—	4	4	no	—
461	C₂×D₅₂	—	4	4	no	—
462	C₂×D₅₂	—	4	4	no	—
463	C₂×D₅₂	—	4	4	no	—
464	C₂×D₅₂	C₂⁴	1	4	yes	—
465	C₂×D₅₂	C₂⁴	1	4	yes	—
466	C₂×D₅₂	C₂⁴	1	4	yes	—
467	C₂×D₅₂	C₂⁴	1	8	yes	—
468	C₂×D₅₂	C₂⁴	1	8	yes	—
469	C₂×D₅₂	C₂⁴	1	8	yes	—
470	C₂×D₅₂	C₂⁴	1	8	yes	—
471	C₂×C₄×D₁₃	—	4	4	no	—
472	C₂×C₄×D₁₃	—	4	4	no	—
473	C₂×C₄×D₁₃	—	4	4	no	—
474	C₂×C₄×D₁₃	—	4	4	no	—
475	C₂×C₄×D₁₃	—	4	4	no	—
476	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
477	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
478	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
479	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
480	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
481	C₂×Dic₂₆	—	2	4	no	—
482	C₂×Dic₂₆	—	4	4	no	—
483	C₂×Dic₂₆	C₂⁴	1	4	yes	—
484	C₂×Dic₂₆	C₂⁴	1	8	yes	—
485	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
486	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
487	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
488	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
489	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
490	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
491	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
492	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
493	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
494	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
495	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
496	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
497	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
498	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
499	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
500	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
501	C₄²×C₁₃	C₂⁴	1	4	yes	—
502	C₄²×C₁₃	C₂⁴	1	4	yes	—
503	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
504	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
505	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
506	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
507	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
508	#6103	C₂⁴	1	8	yes	—
509	#6103	C₂⁴	1	8	yes	—
510	#6103	C₂⁴	1	8	yes	—
511	#6103	C₂⁴	1	8	yes	—
512	#6103	C₂⁴	1	8	yes	—
513	#6103	C₂⁴	1	8	yes	—
514	#6103	C₂⁴	1	8	yes	—
515	#6103	C₂⁴	1	8	yes	—
516	#6103	C₂⁴	1	8	yes	—
517	#6103	C₂⁴	1	8	yes	—
518	#6103	C₂⁴	1	8	yes	—
519	#6103	C₂⁴	1	8	yes	—
520	#6103	C₂⁴	1	8	yes	—
521	#6103	C₂⁴	1	8	yes	—
522	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
523	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
524	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
525	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
526	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
527	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
528	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
529	#6101	C₂⁴	1	8	yes	—
530	#6101	C₂⁴	1	8	yes	—
531	#6101	C₂⁴	1	8	yes	—
532	#6101	C₂⁴	1	8	yes	—
533	#6101	C₂⁴	1	8	yes	—
534	#6101	C₂⁴	1	8	yes	—
535	C₄×Dic₁₃	C₂⁴	1	8	yes	—
536	C₄×Dic₁₃	C₂⁴	1	8	yes	—
537	C₄×Dic₁₃	C₂⁴	1	8	yes	—
538	#3542	—	13	32	no	—
539	C₂×#562	—	13	2	no	—
540	C₂×#560	—	13	2	no	—
541	C₂×#555	—	13	1	no	—
542	C₂×#553	—	13	1	no	—
543	C₂×#552	—	13	1	no	—
544	C₂×#551	—	13	2	no	—
545	C₂×#550	—	13	1	no	—
546	C₂×#547	—	13	1	no	—
547	C₂×#546	—	13	2	no	—
548	C₂×#546	—	13	1	no	—
549	C₂×#546	—	13	1	no	—
550	C₂×D₄²	—	13	1	no	—
551	C₂×#542	—	13	1	no	—
552	C₂×#540	—	13	2	no	—
553	C₂×#540	—	13	1	no	—
554	C₂×#538	—	13	2	no	—
555	C₂×#537	—	13	1	no	—
556	C₂×#535	—	13	1	no	—
557	C₂×#535	—	13	2	no	—
558	C₂×#534	—	13	2	no	—
559	C₂×#525	—	13	1	no	—
560	C₂×#525	D₁₃	1	1	yes	characteristic, complemented
561	C₂²×#121	—	13	1	no	—
562	C₂³×C₁₃	—	2	2	no	—
563	C₂³×C₁₃	—	2	2	no	—
564	C₂³×C₁₃	—	2	2	no	—
565	C₂³×C₁₃	—	2	8	no	—
566	C₂³×C₁₃	—	2	2	no	—
567	C₂³×C₁₃	—	2	2	no	—
568	C₂³×C₁₃	—	2	2	no	—
569	C₂³×C₁₃	—	2	2	no	—
570	C₂³×C₁₃	—	2	2	no	—
571	C₂³×C₁₃	—	2	2	no	—
572	C₂³×C₁₃	—	2	2	no	—
573	C₂³×C₁₃	—	2	2	no	—
574	C₂³×C₁₃	—	2	2	no	—
575	C₂³×C₁₃	—	2	2	no	—
576	C₂³×C₁₃	—	2	2	no	—
577	C₂³×C₁₃	—	4	4	no	—
578	C₂³×C₁₃	—	4	4	no	—
579	C₂³×C₁₃	—	4	16	no	—
580	C₂³×C₁₃	H(5,𝔽₂)	1	4	yes	—
581	C₂³×C₁₃	C₂⁵	1	2	yes	—
582	C₂³×C₁₃	C₂⁵	1	2	yes	—
583	C₂³×C₁₃	C₂⁵	1	2	yes	—
584	C₂³×C₁₃	C₂⁵	1	2	yes	—
585	C₂³×C₁₃	C₂⁵	1	2	yes	—
586	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
587	C₂²×D₁₃	—	2	4	no	—
588	C₂²×D₁₃	—	2	4	no	—
589	C₂²×D₁₃	—	2	4	no	—
590	C₂²×D₁₃	—	2	4	no	—
591	C₂²×D₁₃	—	2	4	no	—
592	C₂²×D₁₃	—	2	4	no	—
593	C₂²×D₁₃	—	2	4	no	—
594	C₂²×D₁₃	—	2	4	no	—
595	C₂²×D₁₃	—	2	4	no	—
596	C₂²×D₁₃	—	2	16	no	—
597	C₂²×D₁₃	—	4	8	no	—
598	C₂²×D₁₃	—	4	8	no	—
599	C₂²×D₁₃	—	4	8	no	—
600	C₂²×D₁₃	—	4	8	no	—
601	C₂²×D₁₃	—	4	8	no	—
602	C₂²×D₁₃	—	8	16	no	—
603	C₂²×D₁₃	—	8	16	no	—
604	C₂²×D₁₃	C₂⁵	1	4	yes	—
605	C₂²×D₁₃	C₂⁵	1	4	yes	—
606	C₂²×D₁₃	C₂⁵	1	4	yes	—
607	Q₈×C₁₃	—	4	4	no	—
608	D₄×C₁₃	—	2	8	no	—
609	D₄×C₁₃	—	2	8	no	—
610	D₄×C₁₃	—	4	4	no	—
611	D₄×C₁₃	—	4	4	no	—
612	D₄×C₁₃	—	4	4	no	—
613	D₄×C₁₃	—	4	4	no	—
614	D₄×C₁₃	—	4	4	no	—
615	C₂×C₄×C₁₃	—	2	2	no	—
616	C₂×C₄×C₁₃	—	2	2	no	—
617	C₂×C₄×C₁₃	—	2	2	no	—
618	C₂×C₄×C₁₃	—	2	2	no	—
619	C₂×C₄×C₁₃	—	2	2	no	—
620	C₂×C₄×C₁₃	—	2	2	no	—
621	C₂×C₄×C₁₃	—	2	2	no	—
622	C₂×C₄×C₁₃	—	2	2	no	—
623	C₂×C₄×C₁₃	—	2	2	no	—
624	C₂×C₄×C₁₃	—	2	8	no	—
625	C₂×C₄×C₁₃	—	2	8	no	—
626	C₂×C₄×C₁₃	—	2	8	no	—
627	C₂×C₄×C₁₃	—	2	8	no	—
628	C₂×C₄×C₁₃	—	2	8	no	—
629	C₂×C₄×C₁₃	—	4	4	no	—
630	C₂×C₄×C₁₃	—	4	4	no	—
631	C₂×C₄×C₁₃	—	4	4	no	—
632	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
633	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
634	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
635	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
636	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
637	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
638	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
639	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
640	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
641	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
642	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
643	C₂²⋊D₁₃	—	2	16	no	—
644	C₂²⋊D₁₃	—	4	8	no	—
645	C₂²⋊D₁₃	—	4	8	no	—
646	C₂²⋊D₁₃	—	4	8	no	—
647	C₂²⋊D₁₃	—	4	8	no	—
648	C₂²⋊D₁₃	—	4	8	no	—
649	C₂²⋊D₁₃	—	4	8	no	—
650	C₂²⋊D₁₃	—	4	8	no	—
651	C₂²⋊D₁₃	—	4	8	no	—
652	C₂²⋊D₁₃	—	4	8	no	—
653	C₂²⋊D₁₃	—	4	8	no	—
654	C₂×Dic₁₃	—	2	4	no	—
655	C₂×Dic₁₃	—	2	4	no	—
656	C₂×Dic₁₃	—	2	4	no	—
657	C₂×Dic₁₃	—	2	4	no	—
658	C₂×Dic₁₃	—	2	16	no	—
659	C₂×Dic₁₃	—	2	4	no	—
660	C₂×Dic₁₃	—	4	8	no	—
661	C₂×Dic₁₃	C₂⁵	1	4	yes	—
662	C₂×Dic₁₃	C₂⁵	1	4	yes	—
663	C₂×Dic₁₃	C₂⁵	1	4	yes	—
664	C₂×Dic₁₃	C₂⁵	1	4	yes	—
665	C₂×Dic₁₃	C₂⁵	1	4	yes	—
666	D₅₂	—	2	8	no	—
667	D₅₂	—	2	8	no	—
668	D₅₂	—	2	8	no	—
669	D₅₂	—	4	8	no	—
670	D₅₂	—	4	8	no	—
671	D₅₂	—	4	8	no	—
672	D₅₂	—	4	8	no	—
673	C₄×D₁₃	—	4	8	no	—
674	C₄×D₁₃	—	4	8	no	—
675	C₄×D₁₃	—	4	8	no	—
676	C₄×D₁₃	—	4	8	no	—
677	C₄×D₁₃	—	4	8	no	—
678	Dic₂₆	—	2	8	no	—
679	Dic₂₆	—	4	8	no	—
680	C₂²×#41	—	13	2	no	—
681	C₂²×#41	—	13	1	no	—
682	C₂²×#41	—	13	1	no	—
683	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
684	C₂³×D₄	—	13	2	no	—
685	C₂³×D₄	—	13	2	no	—
686	C₂³×D₄	—	13	1	no	—
687	C₂³×D₄	—	13	1	no	—
688	C₂⁴×C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
689	#562	—	13	32	no	—
690	#560	—	13	32	no	—
691	#555	—	13	16	no	—
692	#553	—	13	16	no	—
693	#552	—	13	16	no	—
694	#551	—	13	32	no	—
695	#550	—	13	16	no	—
696	#547	—	13	16	no	—
697	#546	—	13	32	no	—
698	#546	—	13	16	no	—
699	#546	—	13	16	no	—
700	D₄²	—	13	16	no	—
701	#542	—	13	16	no	—
702	#540	—	13	32	no	—
703	#540	—	13	16	no	—
704	#538	—	13	32	no	—
705	#537	—	13	16	no	—
706	#535	—	13	16	no	—
707	#535	—	13	32	no	—
708	#534	—	13	32	no	—
709	C₂×C₄⋊Q₈	—	13	1	no	—
710	C₂×#127	—	13	2	no	—
711	C₂×#127	—	13	2	no	—
712	C₂×#127	—	13	1	no	—
713	C₂×#126	—	13	2	no	—
714	C₂×#126	—	13	2	no	—
715	C₂×#126	—	13	2	no	—
716	C₂×#125	—	13	2	no	—
717	C₂×#125	—	13	1	no	—
718	C₂×#124	—	13	2	no	—
719	C₂×#124	—	13	2	no	—
720	C₂×#124	—	13	2	no	—
721	C₂×#124	—	13	2	no	—
722	C₂×#124	—	13	1	no	—
723	#525	—	13	16	no	—
724	#525	C₂×D₁₃	1	16	yes	complemented
725	C₂×#123	—	13	2	no	—
726	C₂×#123	—	13	2	no	—
727	C₂×#123	—	13	2	no	—
728	C₂×#123	—	13	2	no	—
729	C₂×#123	—	13	2	no	—
730	C₂×#123	—	13	2	no	—
731	C₂×#123	—	13	2	no	—
732	C₂×#123	—	13	2	no	—
733	C₂×#123	—	13	2	no	—
734	C₂×#123	—	13	2	no	—
735	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
736	C₂×#123	C₂×D₁₃	1	1	yes	characteristic, complemented
737	C₂×C₂²⋊Q₈	—	13	2	no	—
738	C₂×C₂²⋊Q₈	—	13	1	no	—
739	C₂×C₂²⋊Q₈	—	13	1	no	—
740	C₂×C₂²⋊Q₈	—	13	1	no	—
741	C₂×C₂²⋊Q₈	—	13	2	no	—
742	C₂×C₂²⋊Q₈	—	13	2	no	—
743	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
744	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
745	C₂×#121	—	13	2	no	—
746	C₂×#121	—	13	2	no	—
747	C₂×#121	—	13	2	no	—
748	C₂×#121	—	13	2	no	—
749	C₂×#121	—	13	2	no	—
750	C₂×#121	—	13	1	no	—
751	C₂×#121	—	13	1	no	—
752	C₂×#121	—	13	1	no	—
753	C₂×#121	—	13	1	no	—
754	C₂×#121	—	13	2	no	—
755	C₂×#121	—	13	1	no	—
756	C₂×#121	—	13	2	no	—
757	C₂×#121	—	13	1	no	—
758	C₂×#121	—	13	1	no	—
759	C₂×#121	—	13	1	no	—
760	C₂×#121	—	13	1	no	—
761	C₂×#121	—	13	16	no	—
762	C₂×#121	—	13	2	no	—
763	C₂×#121	—	13	2	no	—
764	C₂×#121	—	13	2	no	—
765	C₂×#121	—	13	2	no	—
766	C₂×#121	—	13	2	no	—
767	C₂×#121	—	13	2	no	—
768	C₂×#121	—	13	2	no	—
769	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
770	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
771	C₂×#120	—	13	2	no	—
772	C₂×#120	—	13	2	no	—
773	C₂×#120	—	13	2	no	—
774	C₂×#120	—	13	2	no	—
775	C₂×#120	—	13	2	no	—
776	C₂×#120	—	13	2	no	—
777	C₂×#120	—	13	2	no	—
778	C₂×#120	C₂×D₁₃	1	1	yes	characteristic
779	C₂×#120	C₂×D₁₃	1	1	yes	characteristic, complemented
780	C₂×C₄×Q₈	—	13	1	no	—
781	C₂×C₄×D₄	—	13	2	no	—
782	C₂×C₄×D₄	—	13	2	no	—
783	C₂×C₄×D₄	—	13	2	no	—
784	C₂×C₄×D₄	—	13	2	no	—
785	C₂×C₄×D₄	—	13	1	no	—
786	C₂×C₄×D₄	—	13	1	no	—
787	C₂×C₄×D₄	—	13	1	no	—
788	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
789	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
790	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
791	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
792	C₂×#117	—	13	1	no	—
793	C₂×#117	—	13	1	no	—
794	C₂×#117	—	13	2	no	—
795	C₂×#117	—	13	2	no	—
796	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
797	C₂²×C₄⋊C₄	—	13	1	no	—
798	C₂²×C₄⋊C₄	—	13	1	no	—
799	C₂²×C₂²⋊C₄	—	13	2	no	—
800	C₂²×C₂²⋊C₄	—	13	2	no	—
801	C₂²×C₂²⋊C₄	—	13	2	no	—
802	C₂²×C₁₃	—	2	2	no	—
803	C₂²×C₁₃	—	2	2	no	—
804	C₂²×C₁₃	—	2	8	no	—
805	C₂²×C₁₃	—	2	2	no	—
806	C₂²×C₁₃	—	2	2	no	—
807	C₂²×C₁₃	—	2	2	no	—
808	C₂²×C₁₃	—	2	2	no	—
809	C₂²×C₁₃	—	2	2	no	—
810	C₂²×C₁₃	—	2	2	no	—
811	C₂²×C₁₃	—	2	2	no	—
812	C₂²×C₁₃	—	2	2	no	—
813	C₂²×C₁₃	—	2	2	no	—
814	C₂²×C₁₃	—	2	2	no	—
815	C₂²×C₁₃	—	2	2	no	—
816	C₂²×C₁₃	—	2	2	no	—
817	C₂²×C₁₃	—	4	16	no	—
818	C₂²×C₁₃	—	4	4	no	—
819	C₂²×C₁₃	—	4	4	no	—
820	C₂²×C₁₃	—	4	4	no	—
821	C₂²×C₁₃	—	4	4	no	—
822	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
823	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
824	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
825	C₂²×C₁₃	#585	1	2	yes	—
826	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
827	C₂×D₁₃	—	2	4	no	—
828	C₂×D₁₃	—	2	4	no	—
829	C₂×D₁₃	—	2	4	no	—
830	C₂×D₁₃	—	2	4	no	—
831	C₂×D₁₃	—	2	4	no	—
832	C₂×D₁₃	—	2	4	no	—
833	C₂×D₁₃	—	2	4	no	—
834	C₂×D₁₃	—	2	4	no	—
835	C₂×D₁₃	—	2	4	no	—
836	C₂×D₁₃	—	4	8	no	—
837	C₂×D₁₃	—	4	8	no	—
838	C₂×D₁₃	—	4	8	no	—
839	C₂×D₁₃	—	8	16	no	—
840	C₂×D₁₃	—	8	16	no	—
841	C₄×C₁₃	—	2	2	no	—
842	C₄×C₁₃	—	2	2	no	—
843	C₄×C₁₃	—	2	2	no	—
844	C₄×C₁₃	—	2	2	no	—
845	C₄×C₁₃	—	2	2	no	—
846	C₄×C₁₃	—	2	2	no	—
847	C₄×C₁₃	—	2	2	no	—
848	C₄×C₁₃	—	2	2	no	—
849	C₄×C₁₃	—	2	2	no	—
850	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
851	Dic₁₃	—	2	4	no	—
852	Dic₁₃	—	2	4	no	—
853	Dic₁₃	—	2	4	no	—
854	Dic₁₃	—	2	4	no	—
855	Dic₁₃	—	2	4	no	—
856	C₂⁵	—	13	2	no	—
857	C₂⁵	—	13	2	no	—
858	C₂⁵	C₂²×D₁₃	1	1	yes	characteristic
859	C₂×#41	—	4	4	no	—
860	C₂×#41	—	13	16	no	—
861	C₂×#41	—	13	8	no	—
862	C₂×#41	—	13	8	no	—
863	C₂×#41	—	52	4	no	—
864	C₂×#41	—	52	4	no	—
865	C₂×#41	—	52	8	no	—
866	C₂×#41	C₂²×D₁₃	1	8	yes	complemented
867	C₂²×Q₈	—	13	1	no	—
868	C₂²×Q₈	—	13	2	no	—
869	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
870	C₂²×D₄	—	13	2	no	—
871	C₂²×D₄	—	13	2	no	—
872	C₂²×D₄	—	13	2	no	—
873	C₂²×D₄	—	13	2	no	—
874	C₂²×D₄	—	13	2	no	—
875	C₂²×D₄	—	13	2	no	—
876	C₂²×D₄	—	13	2	no	—
877	C₂²×D₄	—	13	2	no	—
878	C₂²×D₄	—	13	2	no	—
879	C₂²×D₄	—	13	2	no	—
880	C₂²×D₄	—	13	2	no	—
881	C₂²×D₄	—	13	16	no	—
882	C₂²×D₄	—	13	16	no	—
883	C₂²×D₄	—	13	1	no	—
884	C₂²×D₄	—	13	1	no	—
885	C₂²×D₄	—	13	1	no	—
886	C₂²×D₄	—	13	2	no	—
887	C₂²×D₄	—	13	2	no	—
888	C₂²×D₄	—	13	2	no	—
889	C₂²×D₄	—	13	2	no	—
890	C₂²×D₄	—	13	8	no	—
891	C₂²×D₄	—	13	8	no	—
892	C₂²×D₄	—	52	4	no	—
893	C₂²×D₄	—	52	4	no	—
894	C₂²×D₄	—	52	8	no	—
895	C₂²×D₄	—	52	8	no	—
896	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
897	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
898	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
899	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
900	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
901	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
902	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
903	C₂³×C₄	—	4	4	no	—
904	C₂³×C₄	—	13	2	no	—
905	C₂³×C₄	—	13	2	no	—
906	C₂³×C₄	—	13	2	no	—
907	C₂³×C₄	—	13	2	no	—
908	C₂³×C₄	—	13	2	no	—
909	C₂³×C₄	—	13	2	no	—
910	C₂³×C₄	—	13	2	no	—
911	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
912	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
913	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
914	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
915	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
916	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
917	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
918	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
919	C₂³×C₄	C₂²×D₁₃	1	8	yes	complemented
920	C₄⋊Q₈	—	13	8	no	—
921	#127	—	13	16	no	—
922	#127	—	13	16	no	—
923	#127	—	13	8	no	—
924	#126	—	13	16	no	—
925	#126	—	13	16	no	—
926	#126	—	13	16	no	—
927	#125	—	13	16	no	—
928	#125	—	13	8	no	—
929	#124	—	13	16	no	—
930	#124	—	13	16	no	—
931	#124	—	13	16	no	—
932	#124	—	13	16	no	—
933	#124	—	13	8	no	—
934	#123	—	13	16	no	—
935	#123	—	13	16	no	—
936	#123	—	13	16	no	—
937	#123	—	13	16	no	—
938	#123	—	13	16	no	—
939	#123	—	13	16	no	—
940	#123	—	13	16	no	—
941	#123	—	13	16	no	—
942	#123	—	13	16	no	—
943	#123	—	13	16	no	—
944	#123	C₂²×D₁₃	1	8	yes	complemented
945	#123	C₂²×D₁₃	1	8	yes	complemented
946	C₂²⋊Q₈	—	13	16	no	—
947	C₂²⋊Q₈	—	13	8	no	—
948	C₂²⋊Q₈	—	13	8	no	—
949	C₂²⋊Q₈	—	13	8	no	—
950	C₂²⋊Q₈	—	13	16	no	—
951	C₂²⋊Q₈	—	13	16	no	—
952	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
953	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
954	#121	—	13	16	no	—
955	#121	—	13	16	no	—
956	#121	—	13	16	no	—
957	#121	—	13	16	no	—
958	#121	—	13	16	no	—
959	#121	—	13	8	no	—
960	#121	—	13	8	no	—
961	#121	—	13	16	no	—
962	#121	—	13	8	no	—
963	#121	—	13	8	no	—
964	#121	—	13	16	no	—
965	#121	—	13	8	no	—
966	#121	—	13	8	no	—
967	#121	—	13	8	no	—
968	#121	—	13	8	no	—
969	#121	—	13	8	no	—
970	#121	—	13	16	no	—
971	#121	—	13	16	no	—
972	#121	—	13	16	no	—
973	#121	—	13	16	no	—
974	#121	—	13	16	no	—
975	#121	—	13	16	no	—
976	#121	—	13	16	no	—
977	#121	C₂²×D₁₃	1	8	yes	—
978	#121	C₂²×D₁₃	1	8	yes	complemented
979	#120	—	13	16	no	—
980	#120	—	13	16	no	—
981	#120	—	13	16	no	—
982	#120	—	13	16	no	—
983	#120	—	13	16	no	—
984	#120	—	13	16	no	—
985	#120	—	13	16	no	—
986	#120	C₂²×D₁₃	1	8	yes	—
987	#120	C₂²×D₁₃	1	8	yes	complemented
988	C₄×Q₈	—	13	8	no	—
989	C₄×D₄	—	13	16	no	—
990	C₄×D₄	—	13	16	no	—
991	C₄×D₄	—	13	16	no	—
992	C₄×D₄	—	13	16	no	—
993	C₄×D₄	—	13	8	no	—
994	C₄×D₄	—	13	8	no	—
995	C₄×D₄	—	13	8	no	—
996	C₄×D₄	C₂²×D₁₃	1	8	yes	—
997	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
998	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
999	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
1000	#117	—	13	8	no	—
1001	#117	—	13	8	no	—
1002	#117	—	13	16	no	—
1003	#117	—	13	16	no	—
1004	#117	C₂²×D₁₃	1	8	yes	complemented
1005	C₂×C₄⋊C₄	—	13	1	no	—
1006	C₂×C₄⋊C₄	—	13	1	no	—
1007	C₂×C₄⋊C₄	—	13	1	no	—
1008	C₂×C₄⋊C₄	—	13	2	no	—
1009	C₂×C₄⋊C₄	—	13	8	no	—
1010	C₂×C₄⋊C₄	—	13	2	no	—
1011	C₂×C₄⋊C₄	—	13	8	no	—
1012	C₂×C₄⋊C₄	—	13	1	no	—
1013	C₂×C₄⋊C₄	—	13	2	no	—
1014	C₂×C₄⋊C₄	—	13	2	no	—
1015	C₂×C₄⋊C₄	—	13	2	no	—
1016	C₂×C₄⋊C₄	—	13	2	no	—
1017	C₂×C₄⋊C₄	—	13	2	no	—
1018	C₂×C₄⋊C₄	—	13	2	no	—
1019	C₂×C₄⋊C₄	—	13	2	no	—
1020	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1026	C₂×C₂²⋊C₄	—	13	2	no	—
1027	C₂×C₂²⋊C₄	—	13	2	no	—
1028	C₂×C₂²⋊C₄	—	13	2	no	—
1029	C₂×C₂²⋊C₄	—	13	2	no	—
1030	C₂×C₂²⋊C₄	—	13	2	no	—
1031	C₂×C₂²⋊C₄	—	13	2	no	—
1032	C₂×C₂²⋊C₄	—	13	2	no	—
1033	C₂×C₂²⋊C₄	—	13	2	no	—
1034	C₂×C₂²⋊C₄	—	13	2	no	—
1035	C₂×C₂²⋊C₄	—	13	2	no	—
1036	C₂×C₂²⋊C₄	—	13	2	no	—
1037	C₂×C₂²⋊C₄	—	13	2	no	—
1038	C₂×C₂²⋊C₄	—	13	16	no	—
1039	C₂×C₂²⋊C₄	—	13	2	no	—
1040	C₂×C₂²⋊C₄	—	13	2	no	—
1041	C₂×C₂²⋊C₄	—	13	2	no	—
1042	C₂×C₂²⋊C₄	—	13	2	no	—
1043	C₂×C₂²⋊C₄	—	13	2	no	—
1044	C₂×C₂²⋊C₄	—	13	2	no	—
1045	C₂×C₂²⋊C₄	—	13	2	no	—
1046	C₂×C₂²⋊C₄	—	13	16	no	—
1047	C₂×C₂²⋊C₄	—	13	16	no	—
1048	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1049	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1058	C₂×C₄²	—	13	2	no	—
1059	C₂×C₄²	—	13	2	no	—
1060	C₂×C₄²	—	13	2	no	—
1061	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1062	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1063	C₂×C₁₃	—	2	4	no	—
1064	C₂×C₁₃	—	4	2	no	—
1065	C₂×C₁₃	—	4	2	no	—
1066	C₂×C₁₃	—	4	2	no	—
1067	C₂×C₁₃	—	4	2	no	—
1068	C₂×C₁₃	#3542	1	4	yes	complemented
1069	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1070	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1071	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1072	D₁₃	—	4	4	no	—
1073	D₁₃	—	4	4	no	—
1074	D₁₃	—	4	4	no	—
1075	C₂⁴	—	2	4	no	—
1076	C₂⁴	—	4	2	no	—
1077	C₂⁴	—	4	2	no	—
1078	C₂⁴	—	13	2	no	—
1079	C₂⁴	—	13	2	no	—
1080	C₂⁴	—	13	2	no	—
1081	C₂⁴	—	13	8	no	—
1082	C₂⁴	—	13	8	no	—
1083	C₂⁴	—	26	8	no	—
1084	C₂⁴	—	52	4	no	—
1085	C₂⁴	—	52	4	no	—
1086	C₂⁴	—	52	4	no	—
1087	C₂⁴	—	52	4	no	—
1088	C₂⁴	—	52	4	no	—
1089	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1090	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1091	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1092	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1093	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1094	C₂⁴	C₂³×D₁₃	1	4	yes	—
1095	#41	—	4	16	no	—
1096	#41	—	52	16	no	—
1097	#41	—	52	16	no	—
1098	#41	—	52	32	no	—
1099	C₂×Q₈	—	4	2	no	—
1100	C₂×Q₈	—	13	4	no	—
1101	C₂×Q₈	—	13	8	no	—
1102	C₂×Q₈	—	26	4	no	—
1103	C₂×Q₈	—	52	4	no	—
1104	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1105	C₂×D₄	—	2	4	no	—
1106	C₂×D₄	—	2	4	no	—
1107	C₂×D₄	—	4	2	no	—
1108	C₂×D₄	—	4	2	no	—
1109	C₂×D₄	—	4	2	no	—
1110	C₂×D₄	—	4	2	no	—
1111	C₂×D₄	—	4	2	no	—
1112	C₂×D₄	—	13	8	no	—
1113	C₂×D₄	—	13	8	no	—
1114	C₂×D₄	—	13	8	no	—
1115	C₂×D₄	—	13	8	no	—
1116	C₂×D₄	—	13	8	no	—
1117	C₂×D₄	—	13	8	no	—
1118	C₂×D₄	—	13	8	no	—
1119	C₂×D₄	—	13	8	no	—
1120	C₂×D₄	—	13	8	no	—
1121	C₂×D₄	—	13	8	no	—
1122	C₂×D₄	—	13	8	no	—
1123	C₂×D₄	—	13	4	no	—
1124	C₂×D₄	—	13	4	no	—
1125	C₂×D₄	—	13	4	no	—
1126	C₂×D₄	—	13	8	no	—
1127	C₂×D₄	—	13	8	no	—
1128	C₂×D₄	—	13	8	no	—
1129	C₂×D₄	—	13	8	no	—
1130	C₂×D₄	—	26	8	no	—
1131	C₂×D₄	—	26	4	no	—
1132	C₂×D₄	—	26	4	no	—
1133	C₂×D₄	—	26	4	no	—
1134	C₂×D₄	—	52	16	no	—
1135	C₂×D₄	—	52	16	no	—
1136	C₂×D₄	—	52	4	no	—
1137	C₂×D₄	—	52	4	no	—
1138	C₂×D₄	—	52	4	no	—
1139	C₂×D₄	—	52	4	no	—
1140	C₂×D₄	—	52	4	no	—
1141	C₂×D₄	—	52	4	no	—
1142	C₂×D₄	—	52	4	no	—
1143	C₂×D₄	—	52	4	no	—
1144	C₂×D₄	—	52	32	no	—
1145	C₂×D₄	—	52	4	no	—
1146	C₂×D₄	—	52	4	no	—
1147	C₂×D₄	—	52	4	no	—
1148	C₂×D₄	—	52	4	no	—
1149	C₂×D₄	—	52	4	no	—
1150	C₂×D₄	—	52	4	no	—
1151	C₂×D₄	—	52	32	no	—
1152	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1153	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1154	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1155	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1156	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1157	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1158	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1159	C₂²×C₄	—	2	4	no	—
1160	C₂²×C₄	—	2	4	no	—
1161	C₂²×C₄	—	2	4	no	—
1162	C₂²×C₄	—	2	4	no	—
1163	C₂²×C₄	—	2	4	no	—
1164	C₂²×C₄	—	4	16	no	—
1165	C₂²×C₄	—	4	2	no	—
1166	C₂²×C₄	—	4	2	no	—
1167	C₂²×C₄	—	4	2	no	—
1168	C₂²×C₄	—	13	8	no	—
1169	C₂²×C₄	—	13	2	no	—
1170	C₂²×C₄	—	13	2	no	—
1171	C₂²×C₄	—	13	2	no	—
1172	C₂²×C₄	—	13	2	no	—
1173	C₂²×C₄	—	13	2	no	—
1174	C₂²×C₄	—	13	8	no	—
1175	C₂²×C₄	—	13	8	no	—
1176	C₂²×C₄	—	13	8	no	—
1177	C₂²×C₄	—	13	8	no	—
1178	C₂²×C₄	—	13	8	no	—
1179	C₂²×C₄	—	13	8	no	—
1180	C₂²×C₄	—	26	8	no	—
1181	C₂²×C₄	—	52	4	no	—
1182	C₂²×C₄	—	52	4	no	—
1183	C₂²×C₄	—	52	4	no	—
1184	C₂²×C₄	—	52	4	no	—
1185	C₂²×C₄	—	52	4	no	—
1186	C₂²×C₄	—	52	4	no	—
1187	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1188	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1189	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1190	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1191	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1192	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1193	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1194	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1195	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1196	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1197	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1198	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1199	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1200	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1201	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1202	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1203	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1204	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1205	C₄⋊C₄	—	13	4	no	—
1206	C₄⋊C₄	—	13	4	no	—
1207	C₄⋊C₄	—	13	4	no	—
1208	C₄⋊C₄	—	13	8	no	—
1209	C₄⋊C₄	—	13	8	no	—
1210	C₄⋊C₄	—	13	4	no	—
1211	C₄⋊C₄	—	13	8	no	—
1212	C₄⋊C₄	—	13	8	no	—
1213	C₄⋊C₄	—	13	8	no	—
1214	C₄⋊C₄	—	13	8	no	—
1215	C₄⋊C₄	—	13	8	no	—
1216	C₄⋊C₄	—	13	8	no	—
1217	C₄⋊C₄	—	13	8	no	—
1218	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1219	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1220	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1221	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1222	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1223	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1224	C₂²⋊C₄	—	13	8	no	—
1225	C₂²⋊C₄	—	13	8	no	—
1226	C₂²⋊C₄	—	13	8	no	—
1227	C₂²⋊C₄	—	13	8	no	—
1228	C₂²⋊C₄	—	13	8	no	—
1229	C₂²⋊C₄	—	13	8	no	—
1230	C₂²⋊C₄	—	13	8	no	—
1231	C₂²⋊C₄	—	13	8	no	—
1232	C₂²⋊C₄	—	13	8	no	—
1233	C₂²⋊C₄	—	13	8	no	—
1234	C₂²⋊C₄	—	13	8	no	—
1235	C₂²⋊C₄	—	13	8	no	—
1236	C₂²⋊C₄	—	13	8	no	—
1237	C₂²⋊C₄	—	13	8	no	—
1238	C₂²⋊C₄	—	13	8	no	—
1239	C₂²⋊C₄	—	13	8	no	—
1240	C₂²⋊C₄	—	13	8	no	—
1241	C₂²⋊C₄	—	13	8	no	—
1242	C₂²⋊C₄	—	13	8	no	—
1243	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1244	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1245	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1246	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1247	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1248	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1249	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1250	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1251	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1252	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1253	C₄²	—	13	8	no	—
1254	C₄²	—	13	8	no	—
1255	C₄²	—	13	8	no	—
1256	C₄²	C₂³×D₁₃	1	4	yes	—
1257	C₄²	C₂³×D₁₃	1	4	yes	—
1258	C₁₃	C₂×#3542	1	1	yes	characteristic, complemented, Sylow
1259	C₂³	—	2	2	no	—
1260	C₂³	—	2	2	no	—
1261	C₂³	—	2	2	no	—
1262	C₂³	—	2	2	no	—
1263	C₂³	—	2	2	no	—
1264	C₂³	—	2	2	no	—
1265	C₂³	—	2	2	no	—
1266	C₂³	—	2	2	no	—
1267	C₂³	—	2	8	no	—
1268	C₂³	—	2	2	no	—
1269	C₂³	—	2	2	no	—
1270	C₂³	—	2	2	no	—
1271	C₂³	—	2	2	no	—
1272	C₂³	—	2	2	no	—
1273	C₂³	—	2	2	no	—
1274	C₂³	—	4	4	no	—
1275	C₂³	—	4	4	no	—
1276	C₂³	—	4	16	no	—
1277	C₂³	—	13	4	no	—
1278	C₂³	—	13	4	no	—
1279	C₂³	—	13	4	no	—
1280	C₂³	—	26	4	no	—
1281	C₂³	—	26	4	no	—
1282	C₂³	—	26	4	no	—
1283	C₂³	—	26	4	no	—
1284	C₂³	—	26	4	no	—
1285	C₂³	—	26	4	no	—
1286	C₂³	—	26	4	no	—
1287	C₂³	—	26	4	no	—
1288	C₂³	—	26	4	no	—
1289	C₂³	—	26	16	no	—
1290	C₂³	—	52	8	no	—
1291	C₂³	—	52	8	no	—
1292	C₂³	—	52	8	no	—
1293	C₂³	—	52	8	no	—
1294	C₂³	—	52	8	no	—
1295	C₂³	—	104	16	no	—
1296	C₂³	—	104	16	no	—
1297	C₂³	#88256	1	4	yes	—
1298	C₂³	C₂⁴×D₁₃	1	2	yes	—
1299	C₂³	C₂⁴×D₁₃	1	2	yes	—
1300	C₂³	C₂⁴×D₁₃	1	2	yes	—
1301	C₂³	C₂⁴×D₁₃	1	2	yes	—
1302	C₂³	C₂⁴×D₁₃	1	2	yes	—
1303	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1304	Q₈	—	4	4	no	—
1305	Q₈	—	26	8	no	—
1306	Q₈	—	52	8	no	—
1307	D₄	—	2	8	no	—
1308	D₄	—	2	8	no	—
1309	D₄	—	4	4	no	—
1310	D₄	—	4	4	no	—
1311	D₄	—	4	4	no	—
1312	D₄	—	4	4	no	—
1313	D₄	—	4	4	no	—
1314	D₄	—	26	16	no	—
1315	D₄	—	26	8	no	—
1316	D₄	—	26	8	no	—
1317	D₄	—	26	8	no	—
1318	D₄	—	52	8	no	—
1319	D₄	—	52	8	no	—
1320	D₄	—	52	8	no	—
1321	D₄	—	52	8	no	—
1322	D₄	—	52	8	no	—
1323	D₄	—	52	8	no	—
1324	D₄	—	52	8	no	—
1325	D₄	—	52	8	no	—
1326	D₄	—	52	8	no	—
1327	D₄	—	52	8	no	—
1328	D₄	—	52	8	no	—
1329	D₄	—	52	8	no	—
1330	D₄	—	52	8	no	—
1331	D₄	—	52	8	no	—
1332	C₂×C₄	—	2	2	no	—
1333	C₂×C₄	—	2	2	no	—
1334	C₂×C₄	—	2	2	no	—
1335	C₂×C₄	—	2	2	no	—
1336	C₂×C₄	—	2	2	no	—
1337	C₂×C₄	—	2	2	no	—
1338	C₂×C₄	—	2	2	no	—
1339	C₂×C₄	—	2	2	no	—
1340	C₂×C₄	—	2	2	no	—
1341	C₂×C₄	—	2	8	no	—
1342	C₂×C₄	—	2	8	no	—
1343	C₂×C₄	—	2	8	no	—
1344	C₂×C₄	—	2	8	no	—
1345	C₂×C₄	—	2	8	no	—
1346	C₂×C₄	—	4	4	no	—
1347	C₂×C₄	—	4	4	no	—
1348	C₂×C₄	—	4	4	no	—
1349	C₂×C₄	—	13	4	no	—
1350	C₂×C₄	—	13	4	no	—
1351	C₂×C₄	—	13	4	no	—
1352	C₂×C₄	—	13	4	no	—
1353	C₂×C₄	—	13	4	no	—
1354	C₂×C₄	—	26	4	no	—
1355	C₂×C₄	—	26	4	no	—
1356	C₂×C₄	—	26	4	no	—
1357	C₂×C₄	—	26	16	no	—
1358	C₂×C₄	—	26	4	no	—
1359	C₂×C₄	—	26	4	no	—
1360	C₂×C₄	—	52	8	no	—
1361	C₂×C₄	—	52	8	no	—
1362	C₂×C₄	—	52	8	no	—
1363	C₂×C₄	—	52	8	no	—
1364	C₂×C₄	—	52	8	no	—
1365	C₂×C₄	—	52	8	no	—
1366	C₂×C₄	#88251	1	4	yes	—
1367	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1368	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1369	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1370	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1371	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1372	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1373	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1374	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1375	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1376	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1377	C₂²	—	2	2	no	—
1378	C₂²	—	2	2	no	—
1379	C₂²	—	2	8	no	—
1380	C₂²	—	2	2	no	—
1381	C₂²	—	2	2	no	—
1382	C₂²	—	2	2	no	—
1383	C₂²	—	2	2	no	—
1384	C₂²	—	2	2	no	—
1385	C₂²	—	2	2	no	—
1386	C₂²	—	2	2	no	—
1387	C₂²	—	2	2	no	—
1388	C₂²	—	2	2	no	—
1389	C₂²	—	2	2	no	—
1390	C₂²	—	2	2	no	—
1391	C₂²	—	2	2	no	—
1392	C₂²	—	4	16	no	—
1393	C₂²	—	4	4	no	—
1394	C₂²	—	4	4	no	—
1395	C₂²	—	4	4	no	—
1396	C₂²	—	4	4	no	—
1397	C₂²	—	26	4	no	—
1398	C₂²	—	26	4	no	—
1399	C₂²	—	26	4	no	—
1400	C₂²	—	26	4	no	—
1401	C₂²	—	26	4	no	—
1402	C₂²	—	26	4	no	—
1403	C₂²	—	26	4	no	—
1404	C₂²	—	26	4	no	—
1405	C₂²	—	26	4	no	—
1406	C₂²	—	52	8	no	—
1407	C₂²	—	52	8	no	—
1408	C₂²	—	52	8	no	—
1409	C₂²	—	104	16	no	—
1410	C₂²	—	104	16	no	—
1411	C₂²	C₂×#88251	1	2	yes	—
1412	C₂²	C₂×#88256	1	4	yes	—
1413	C₂²	C₂×#88256	1	2	yes	—
1414	C₂²	#11719648	1	2	yes	—
1415	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1416	C₄	—	2	2	no	—
1417	C₄	—	2	2	no	—
1418	C₄	—	2	2	no	—
1419	C₄	—	2	2	no	—
1420	C₄	—	2	2	no	—
1421	C₄	—	2	2	no	—
1422	C₄	—	2	2	no	—
1423	C₄	—	2	2	no	—
1424	C₄	—	2	2	no	—
1425	C₄	—	26	4	no	—
1426	C₄	—	26	4	no	—
1427	C₄	—	26	4	no	—
1428	C₄	—	26	4	no	—
1429	C₄	—	26	4	no	—
1430	C₄	C₂×#88251	1	4	yes	—
1431	C₂	—	2	4	no	—
1432	C₂	—	4	2	no	—
1433	C₂	—	4	2	no	—
1434	C₂	—	4	2	no	—
1435	C₂	—	4	2	no	—
1436	C₂	—	52	4	no	—
1437	C₂	—	52	4	no	—
1438	C₂	—	52	4	no	—
1439	C₂	#13129152	1	4	yes	direct product factor
1440	C₂	C₂²×#88251	1	1	yes	characteristic
1441	C₂	C₂²×#88256	1	1	yes	characteristic
1442	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×#525	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#525	D₁₃
hypocenter	C₁₃	C₂×#3542
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #13129152	C₂	direct (N × H)
2. C₂×#11719352	C₂	semidirect
3. C₂×#11719325	C₂	semidirect
4. C₂×#11719268	C₂	semidirect
5. C₂×#11719270	C₂	semidirect
6. C₂×#11719246	C₂	semidirect
7. C₂×#11719342	C₂	semidirect
8. C₂×#11719258	C₂	semidirect
9. C₂×#11719260	C₂	semidirect
10. C₂×#11719255	C₂	semidirect
11. C₂×#11719255	C₂	semidirect
12. C₂×#11719315	C₂	semidirect
13. C₂×D₄×D₅₂	C₂	semidirect
14. C₂×#11719239	C₂	semidirect
15. C₂×#11719240	C₂	semidirect
16. C₂×#11719368	C₂	semidirect
17. C₂×#11719362	C₂	semidirect
18. C₂×#11719538	C₂	semidirect
19. C₂×#11719297	C₂	semidirect
20. C₂×#11719535	C₂	semidirect
21. C₂×#11719294	C₂	semidirect
22. C₂×#11719496	C₂	semidirect
23. C₂²×#88184	C₂	semidirect
24. C₂×C₁₃×#525	C₂	semidirect
25. C₂²×C₁₃×#41	C₂²	semidirect
26. C₂⁴×C₄×C₁₃	C₂²	semidirect
27. C₂³×C₂²⋊D₁₃	C₂²	semidirect
28. C₂²×#6129	C₂²	semidirect
30. C₂²×#6127	C₂²	semidirect
31. C₂²×#6127	C₂²	semidirect
33. C₂³×D₅₂	C₂²	semidirect
34. C₁₃×#525	C₂²	semidirect
35. C₂×C₁₃×#123	C₂²	semidirect
36. C₂×C₁₃×#123	C₂²	semidirect
37. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
38. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
40. C₂×C₁₃×#121	C₂²	semidirect
42. C₂×C₁₃×#120	C₂²	semidirect
44. C₂×C₄×D₄×C₁₃	C₂²	semidirect
45. C₂×C₄×D₄×C₁₃	C₂²	semidirect
46. C₂×C₄×D₄×C₁₃	C₂²	semidirect
47. C₂×C₁₃×#117	C₂²	semidirect
48. C₂×#88207	C₂²	semidirect
49. #11719538	C₂²	semidirect
50. #11719535	C₂²	semidirect
51. C₂×#88201	C₂²	semidirect
52. C₂×#88200	C₂²	semidirect
53. C₂×#88194	C₂²	semidirect
54. C₂×#88194	C₂²	semidirect
55. C₂×#88193	C₂²	semidirect
56. C₂×#88193	C₂²	semidirect
57. C₂×#88193	C₂²	semidirect
58. C₂×#88192	C₂²	semidirect
59. C₂×#88192	C₂²	semidirect
60. C₂×#88191	C₂²	semidirect
61. C₂×#88191	C₂²	semidirect
62. C₂×#88191	C₂²	semidirect
63. C₂×#88191	C₂²	semidirect
65. #11719496	C₂²	semidirect
69. C₂×#88184	C₂²	semidirect
70. C₂×#88184	C₂²	semidirect
71. C₂×#88184	C₂²	semidirect
72. C₂×#88184	C₂²	semidirect
73. C₂×#88184	C₂²	semidirect
74. C₂×#88184	C₂²	semidirect
75. C₂×#88184	C₂²	semidirect
76. C₂×#88184	C₂²	semidirect
77. C₂×#88184	C₂²	semidirect
78. C₂×#88183	C₂²	semidirect
79. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
80. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
81. C₂²×#6103	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. C₂×#88178	C₂²	semidirect
88. C₂×#88178	C₂²	semidirect
89. #11719368	C₂²	semidirect
90. #11719362	C₂²	semidirect
91. #11719352	C₂²	semidirect
92. #11719342	C₂²	semidirect
93. #11719325	C₂²	semidirect
94. #11719315	C₂²	semidirect
95. #11719297	C₂²	semidirect
96. #11719294	C₂²	semidirect
97. #11719270	C₂²	semidirect
98. #11719268	C₂²	semidirect
99. #11719260	C₂²	semidirect
100. #11719258	C₂²	semidirect
101. #11719255	C₂²	semidirect
102. #11719255	C₂²	semidirect
103. D₄×D₅₂	C₂²	semidirect
104. #11719246	C₂²	semidirect
105. #11719240	C₂²	semidirect
106. #11719239	C₂²	semidirect
107. C₂×#88152	C₂²	semidirect
108. C₂×#88152	C₂²	semidirect
109. C₂×#88151	C₂²	semidirect
110. C₂×#88150	C₂²	semidirect
111. C₂×#88149	C₂²	semidirect
112. C₂×#88148	C₂²	semidirect
113. C₂×#88148	C₂²	semidirect
114. C₂×#88148	C₂²	semidirect
115. C₂×#88148	C₂²	semidirect
116. C₂×#88147	C₂²	semidirect
117. C₂×#88146	C₂²	semidirect
118. C₂×#88143	C₂²	semidirect
119. C₂×#88140	C₂²	semidirect
120. C₂×#88140	C₂²	semidirect
121. C₂×#88139	C₂²	semidirect
122. C₂×#88139	C₂²	semidirect
123. C₂×#88139	C₂²	semidirect
124. C₂×#88138	C₂²	semidirect
125. C₂×#88138	C₂²	semidirect
126. C₂×#88138	C₂²	semidirect
127. C₂×#88138	C₂²	semidirect
128. C₂×#88138	C₂²	semidirect
129. C₂×#88138	C₂²	semidirect
130. C₂×#88137	C₂²	semidirect
131. C₂×#88137	C₂²	semidirect
133. C₂×#88136	C₂²	semidirect
134. C₂×#88135	C₂²	semidirect
135. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
136. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
137. C₂×#88133	C₂²	semidirect
138. C₂×#88131	C₂²	semidirect
139. C₂×#88129	C₂²	semidirect
140. C₂×#88128	C₂²	semidirect
141. C₂×C₄×D₅₂	C₂²	semidirect
142. C₂×C₄×D₅₂	C₂²	semidirect
143. C₂×C₄×D₅₂	C₂²	semidirect
144. C₂×#88124	C₂²	semidirect
145. C₂×#88123	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
151. C₂×C₁₃×#41	C₂³	semidirect
169. C₂³×C₄×C₁₃	C₂³	semidirect
182. C₂²×C₂²⋊D₁₃	C₂³	semidirect
186. C₂×#6129	C₂³	semidirect
191. C₂×#6127	C₂³	semidirect
192. C₂×#6127	C₂³	semidirect
203. C₂²×D₅₂	C₂³	semidirect
211. C₁₃×#123	C₂³	semidirect
212. C₁₃×#123	C₂³	semidirect
213. C₁₃×C₂²⋊Q₈	C₂³	semidirect
214. C₁₃×C₂²⋊Q₈	C₂³	semidirect
216. C₁₃×#121	C₂³	semidirect
218. C₁₃×#120	C₂³	semidirect
220. C₄×D₄×C₁₃	C₂³	semidirect
221. C₄×D₄×C₁₃	C₂³	semidirect
222. C₄×D₄×C₁₃	C₂³	semidirect
223. C₁₃×#117	C₂³	semidirect
242. #88207	C₂³	semidirect
248. #88201	C₂³	semidirect
249. #88200	C₂³	semidirect
250. #88194	C₂³	semidirect
251. #88194	C₂³	semidirect
252. #88193	C₂³	semidirect
253. #88193	C₂³	semidirect
254. #88193	C₂³	semidirect
255. #88192	C₂³	semidirect
256. #88192	C₂³	semidirect
257. #88191	C₂³	semidirect
258. #88191	C₂³	semidirect
259. #88191	C₂³	semidirect
260. #88191	C₂³	semidirect
265. #88184	C₂³	semidirect
266. #88184	C₂³	semidirect
267. #88184	C₂³	semidirect
268. #88184	C₂³	semidirect
269. #88184	C₂³	semidirect
270. #88184	C₂³	semidirect
271. #88184	C₂³	semidirect
272. #88184	C₂³	semidirect
273. #88183	C₂³	semidirect
274. C₄×C₂²⋊D₁₃	C₂³	semidirect
275. C₄×C₂²⋊D₁₃	C₂³	semidirect
290. C₂×#6103	C₂³	semidirect
291. #88180	C₂³	semidirect
292. #88180	C₂³	semidirect
300. C₂×C₄⋊Dic₁₃	C₂³	semidirect
301. C₂×C₄⋊Dic₁₃	C₂³	semidirect
302. #88178	C₂³	semidirect
303. #88178	C₂³	semidirect
304. #88178	C₂³	semidirect
314. #88152	C₂³	semidirect
315. #88152	C₂³	semidirect
316. #88151	C₂³	semidirect
317. #88150	C₂³	semidirect
318. #88149	C₂³	semidirect
319. #88148	C₂³	semidirect
320. #88148	C₂³	semidirect
321. #88148	C₂³	semidirect
322. #88148	C₂³	semidirect
323. #88147	C₂³	semidirect
324. #88146	C₂³	semidirect
325. #88143	C₂³	semidirect
326. #88140	C₂³	semidirect
327. #88140	C₂³	semidirect
328. #88139	C₂³	semidirect
329. #88139	C₂³	semidirect
330. #88139	C₂³	semidirect
331. #88138	C₂³	semidirect
332. #88138	C₂³	semidirect
333. #88138	C₂³	semidirect
334. #88138	C₂³	semidirect
335. #88138	C₂³	semidirect
336. #88138	C₂³	semidirect
337. #88137	C₂³	semidirect
338. #88137	C₂³	semidirect
340. #88136	C₂³	semidirect
341. #88135	C₂³	semidirect
342. C₂²⋊C₄×D₁₃	C₂³	semidirect
343. C₂²⋊C₄×D₁₃	C₂³	semidirect
344. #88133	C₂³	semidirect
345. #88131	C₂³	semidirect
346. #88129	C₂³	semidirect
347. #88128	C₂³	semidirect
348. C₄×D₅₂	C₂³	semidirect
349. C₄×D₅₂	C₂³	semidirect
350. C₄×D₅₂	C₂³	semidirect
351. #88124	C₂³	semidirect
352. #88123	C₂³	semidirect
353. C₄×Dic₂₆	C₂³	semidirect
560. C₂×#525	D₁₃	semidirect
683. C₂²×#41	C₂×D₁₃	semidirect
688. C₂⁴×C₄	C₂×D₁₃	semidirect
724. #525	C₂×D₁₃	semidirect
735. C₂×#123	C₂×D₁₃	semidirect
736. C₂×#123	C₂×D₁₃	semidirect
743. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
744. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
770. C₂×#121	C₂×D₁₃	semidirect
779. C₂×#120	C₂×D₁₃	semidirect
789. C₂×C₄×D₄	C₂×D₁₃	semidirect
790. C₂×C₄×D₄	C₂×D₁₃	semidirect
791. C₂×C₄×D₄	C₂×D₁₃	semidirect
796. C₂×#117	C₂×D₁₃	semidirect
866. C₂×#41	C₂²×D₁₃	semidirect
919. C₂³×C₄	C₂²×D₁₃	semidirect
944. #123	C₂²×D₁₃	semidirect
945. #123	C₂²×D₁₃	semidirect
952. C₂²⋊Q₈	C₂²×D₁₃	semidirect
953. C₂²⋊Q₈	C₂²×D₁₃	semidirect
978. #121	C₂²×D₁₃	semidirect
987. #120	C₂²×D₁₃	semidirect
997. C₄×D₄	C₂²×D₁₃	semidirect
998. C₄×D₄	C₂²×D₁₃	semidirect
999. C₄×D₄	C₂²×D₁₃	semidirect
1004. #117	C₂²×D₁₃	semidirect
1068. C₂×C₁₃	#3542	semidirect
1258. C₁₃	C₂×#3542	semidirect
1439. C₂	#13129152	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129152	2
C₂×#11719352	2
C₂×#11719325	2
C₂×#11719268	2
C₂×#11719270	2
C₂×#11719246	2
C₂×#11719342	2
C₂×#11719258	2
C₂×#11719260	2
C₂×#11719255	2
C₂×#11719315	2
C₂×D₄×D₅₂	2
C₂×#11719239	2
C₂×#11719240	2
C₂×#11719368	2
C₂×#11719362	2
C₂×#11719538	2
C₂×#11719297	2
C₂×#11719535	2
C₂×#11719294	2
C₂×#11719496	2
C₂²×#88184	2
C₂×C₁₃×#525	2
C₂×#3542	13

Subgroups — C2×#13129152 #16770052

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129152 #16770052