Subgroups — C₂×#13128866 #16770912

Order 3328.

8774 conjugacy classes of subgroups.

The subgroup lattice has 1420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128866	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719321	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719395	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719400	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719319	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719366	C₂	1	2	yes	maximal, complemented
7	C₂×#11719423	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719317	C₂	1	2	yes	maximal, complemented
9	C₂×#11719359	C₂	1	2	yes	maximal, complemented
10	C₂×#11719315	C₂	1	2	yes	maximal, complemented
11	C₂×#11719422	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719314	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719314	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719267	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719362	C₂	1	2	yes	maximal, complemented
16	C₂×#11719318	C₂	1	2	yes	maximal, complemented
17	C₂×#11719253	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719233	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719361	C₂	1	2	yes	maximal, complemented
20	C₂×D₁₃×#121	C₂	1	2	yes	maximal, complemented
21	C₂×#11719226	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719250	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#540	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#6129	C₂²	1	2	yes	complemented
26	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
27	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
28	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
29	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
30	C₂²×D₄×D₁₃	C₂²	1	2	yes	complemented
31	C₂²×#6127	C₂²	1	2	yes	complemented
32	C₂³×D₅₂	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₁₃	C₂²	1	2	yes	complemented
34	C₁₃×#540	C₂²	1	16	yes	complemented
35	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
38	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
39	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
42	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
43	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88194	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88194	C₂²	1	1	yes	characteristic, complemented
48	C₂×#88193	C₂²	1	2	yes	complemented
49	C₂×#88193	C₂²	1	2	yes	complemented
50	C₂×#88193	C₂²	1	2	yes	complemented
51	C₂×#88192	C₂²	1	1	yes	characteristic, complemented
52	C₂×#88192	C₂²	1	2	yes	complemented
53	C₂×#88192	C₂²	1	1	yes	characteristic, complemented
54	C₂×#88192	C₂²	1	2	yes	complemented
55	C₂×#88192	C₂²	1	2	yes	complemented
56	C₂×#88191	C₂²	1	2	yes	complemented
57	C₂×#88191	C₂²	1	2	yes	complemented
58	C₂×#88191	C₂²	1	2	yes	complemented
59	C₂×#88191	C₂²	1	2	yes	complemented
60	C₂×#88190	C₂²	1	2	yes	complemented
61	C₂×#88189	C₂²	1	2	yes	complemented
62	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
63	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
64	C₂×#88184	C₂²	1	2	yes	complemented
65	C₂×#88183	C₂²	1	2	yes	complemented
66	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
67	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
69	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
70	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
71	C₂²×#6103	C₂²	1	2	yes	complemented
72	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
73	#11719423	C₂²	1	16	yes	complemented
74	#11719422	C₂²	1	16	yes	complemented
75	#11719400	C₂²	1	16	yes	complemented
76	#11719395	C₂²	1	16	yes	complemented
77	#11719366	C₂²	1	32	yes	complemented
78	#11719362	C₂²	1	32	yes	complemented
79	#11719361	C₂²	1	32	yes	complemented
80	#11719359	C₂²	1	32	yes	complemented
81	#11719321	C₂²	1	16	yes	complemented
82	#11719319	C₂²	1	16	yes	complemented
83	#11719318	C₂²	1	32	yes	complemented
84	#11719317	C₂²	1	32	yes	complemented
85	#11719315	C₂²	1	32	yes	complemented
86	#11719314	C₂²	1	16	yes	complemented
87	#11719314	C₂²	1	16	yes	complemented
88	D₁₃×#121	C₂²	1	32	yes	complemented
89	#11719267	C₂²	1	16	yes	complemented
90	#11719253	C₂²	1	16	yes	complemented
91	#11719250	C₂²	1	16	yes	complemented
92	C₄×D₄×D₁₃	C₂²	1	16	yes	complemented
93	#11719233	C₂²	1	16	yes	complemented
94	#11719226	C₂²	1	16	yes	complemented
95	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
96	C₂×#88152	C₂²	1	2	yes	complemented
97	C₂×#88151	C₂²	1	2	yes	complemented
98	C₂×#88150	C₂²	1	2	yes	complemented
99	C₂×#88150	C₂²	1	2	yes	complemented
100	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
101	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
102	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
103	C₂×#88149	C₂²	1	2	yes	complemented
104	C₂×#88148	C₂²	1	2	yes	complemented
105	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
106	C₂×#88147	C₂²	1	1	yes	characteristic
107	C₂×#88147	C₂²	1	1	yes	characteristic
108	C₂×#88147	C₂²	1	2	yes	complemented
109	C₂×#88147	C₂²	1	2	yes	complemented
110	C₂×#88147	C₂²	1	2	yes	complemented
111	C₂×#88146	C₂²	1	1	yes	characteristic, complemented
112	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
114	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
115	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
116	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
117	C₂×#88139	C₂²	1	1	yes	characteristic, complemented
118	C₂×#88139	C₂²	1	2	yes	complemented
119	C₂×#88139	C₂²	1	2	yes	complemented
120	C₂×#88138	C₂²	1	1	yes	characteristic
121	C₂×#88138	C₂²	1	2	yes	complemented
122	C₂×#88138	C₂²	1	2	yes	complemented
123	C₂×#88138	C₂²	1	2	yes	complemented
124	C₂×#88138	C₂²	1	2	yes	complemented
125	C₂×#88137	C₂²	1	2	yes	complemented
126	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
127	C₂×#88136	C₂²	1	2	yes	complemented
128	C₂×#88136	C₂²	1	2	yes	complemented
129	C₂×#88135	C₂²	1	2	yes	complemented
130	C₂×#88135	C₂²	1	2	yes	complemented
131	C₂×#88135	C₂²	1	2	yes	complemented
132	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
134	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
135	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
136	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
137	C₂×#88133	C₂²	1	2	yes	complemented
138	C₂×#88131	C₂²	1	2	yes	complemented
139	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
140	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
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×#88126	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂⁴×D₁₃	C₂³	1	2	yes	—
149	C₂⁴×D₁₃	C₂³	1	2	yes	—
150	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
153	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
154	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
155	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
156	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
158	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
163	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
164	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
166	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
168	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
169	C₂³×Dic₁₃	C₂³	1	2	yes	—
170	C₂³×Dic₁₃	C₂³	1	2	yes	—
171	C₂×#6129	—	4	8	no	—
172	C₂×#6129	C₂³	1	16	yes	complemented
173	C₂×D₄×D₁₃	—	2	8	no	—
174	C₂×D₄×D₁₃	—	2	8	no	—
175	C₂×D₄×D₁₃	—	4	8	no	—
176	C₂×D₄×D₁₃	—	4	8	no	—
177	C₂×D₄×D₁₃	—	4	8	no	—
178	C₂×D₄×D₁₃	C₂³	1	8	yes	—
179	C₂×D₄×D₁₃	C₂³	1	8	yes	—
180	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
181	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
182	C₂×D₄×D₁₃	C₂³	1	16	yes	complemented
183	C₂×#6127	—	4	8	no	—
184	C₂×#6127	C₂³	1	16	yes	complemented
185	C₂²×D₅₂	—	2	8	no	—
186	C₂²×D₅₂	C₂³	1	1	yes	characteristic
187	C₂²×D₅₂	C₂³	1	1	yes	characteristic
188	C₂²×D₅₂	C₂³	1	2	yes	—
189	C₂²×D₅₂	C₂³	1	2	yes	—
190	C₂²×D₅₂	C₂³	1	8	yes	—
191	C₂²×D₅₂	C₂³	1	2	yes	—
192	C₂²×D₅₂	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₁₃	—	4	8	no	—
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
199	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
200	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
201	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
202	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
203	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
204	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
205	C₂²×C₄×D₁₃	C₂³	1	16	yes	complemented
206	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
207	C₂²×Dic₂₆	C₂³	1	2	yes	—
208	C₁₃×#127	C₂³	1	8	yes	complemented
209	C₁₃×#125	C₂³	1	8	yes	complemented
210	C₁₃×#123	C₂³	1	16	yes	complemented
211	C₁₃×#123	C₂³	1	16	yes	complemented
212	C₁₃×#121	C₂³	1	16	yes	complemented
213	C₁₃×#121	C₂³	1	8	yes	complemented
214	C₁₃×#121	C₂³	1	8	yes	complemented
215	C₁₃×#121	C₂³	1	16	yes	complemented
216	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
217	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
218	C₁₃×#117	C₂³	1	8	yes	complemented
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
234	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
235	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
238	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
239	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
240	#88194	C₂³	1	8	yes	complemented
241	#88194	C₂³	1	8	yes	complemented
242	#88193	C₂³	1	16	yes	complemented
243	#88193	C₂³	1	16	yes	complemented
244	#88193	C₂³	1	16	yes	complemented
245	#88192	C₂³	1	8	yes	complemented
246	#88192	C₂³	1	8	yes	complemented
247	#88192	C₂³	1	16	yes	complemented
248	#88192	C₂³	1	16	yes	complemented
249	#88192	C₂³	1	16	yes	complemented
250	#88191	C₂³	1	16	yes	complemented
251	#88191	C₂³	1	16	yes	complemented
252	#88191	C₂³	1	16	yes	complemented
253	#88191	C₂³	1	16	yes	complemented
254	#88190	C₂³	1	16	yes	complemented
255	#88189	C₂³	1	16	yes	complemented
256	D₄×Dic₁₃	C₂³	1	8	yes	complemented
257	D₄×Dic₁₃	C₂³	1	8	yes	complemented
258	#88184	C₂³	1	16	yes	complemented
259	#88183	C₂³	1	16	yes	complemented
260	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
261	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
262	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
263	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
264	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
265	C₂×#6103	C₂³	1	1	yes	characteristic
266	C₂×#6103	C₂³	1	1	yes	characteristic
267	C₂×#6103	C₂³	1	2	yes	—
268	C₂×#6103	C₂³	1	2	yes	—
269	C₂×#6103	C₂³	1	2	yes	—
270	C₂×#6103	C₂³	1	2	yes	—
271	C₂×#6103	C₂³	1	1	yes	characteristic
272	C₂×#6103	C₂³	1	1	yes	characteristic
273	C₂×#6103	C₂³	1	2	yes	—
274	C₂×#6103	C₂³	1	2	yes	—
275	C₂×#6103	C₂³	1	1	yes	characteristic
276	C₂×#6103	C₂³	1	2	yes	—
277	C₂×#6103	C₂³	1	1	yes	characteristic
278	C₂×#6103	C₂³	1	2	yes	—
279	C₂×#6103	C₂³	1	2	yes	—
280	C₂×#6103	C₂³	1	16	yes	complemented
281	#88180	C₂³	1	8	yes	complemented
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	1	yes	characteristic
286	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
287	C₂×#6101	C₂³	1	1	yes	characteristic
288	C₂×#6101	C₂³	1	1	yes	characteristic
289	C₂×#6101	C₂³	1	1	yes	characteristic
290	C₂×#6101	C₂³	1	1	yes	characteristic
291	C₂×#6101	C₂³	1	1	yes	characteristic
292	C₂×#6101	C₂³	1	2	yes	—
293	C₂×#6101	C₂³	1	1	yes	characteristic
294	C₂×#6101	C₂³	1	2	yes	—
295	C₂×#6101	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	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
301	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
302	#88152	C₂³	1	8	yes	complemented
303	#88152	C₂³	1	16	yes	complemented
304	#88151	C₂³	1	16	yes	complemented
305	#88150	C₂³	1	8	yes	complemented
306	#88150	C₂³	1	16	yes	complemented
307	#88150	C₂³	1	16	yes	complemented
308	#88149	C₂³	1	8	yes	complemented
309	#88149	C₂³	1	8	yes	complemented
310	#88149	C₂³	1	16	yes	complemented
311	#88148	C₂³	1	8	yes	complemented
312	#88148	C₂³	1	16	yes	complemented
313	#88147	C₂³	1	8	yes	—
314	#88147	C₂³	1	8	yes	—
315	#88147	C₂³	1	16	yes	complemented
316	#88147	C₂³	1	16	yes	complemented
317	#88147	C₂³	1	16	yes	complemented
318	#88146	C₂³	1	8	yes	complemented
319	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
320	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
321	#88144	C₂³	1	8	yes	complemented
322	#88143	C₂³	1	8	yes	complemented
323	#88142	C₂³	1	8	yes	complemented
324	#88139	C₂³	1	8	yes	complemented
325	#88139	C₂³	1	16	yes	complemented
326	#88139	C₂³	1	16	yes	complemented
327	#88138	C₂³	1	8	yes	—
328	#88138	C₂³	1	16	yes	complemented
329	#88138	C₂³	1	16	yes	complemented
330	#88138	C₂³	1	16	yes	complemented
331	#88138	C₂³	1	16	yes	complemented
332	#88137	C₂³	1	8	yes	complemented
333	#88137	C₂³	1	16	yes	complemented
334	#88136	C₂³	1	16	yes	complemented
335	#88136	C₂³	1	16	yes	complemented
336	#88135	C₂³	1	16	yes	complemented
337	#88135	C₂³	1	16	yes	complemented
338	#88135	C₂³	1	16	yes	complemented
339	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
340	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
341	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
342	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
343	#88133	C₂³	1	8	yes	complemented
344	#88133	C₂³	1	16	yes	complemented
345	#88131	C₂³	1	16	yes	complemented
346	C₄×D₅₂	C₂³	1	8	yes	—
347	C₄×D₅₂	C₂³	1	8	yes	—
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	#88126	C₂³	1	8	yes	complemented
352	C₄²×D₁₃	C₂³	1	8	yes	complemented
353	C₄×Dic₂₆	C₂³	1	8	yes	complemented
354	C₂×#3519	—	13	1	no	maximal, Sylow
355	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
357	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
358	C₂³×D₁₃	—	2	8	no	—
359	C₂³×D₁₃	—	2	8	no	—
360	C₂³×D₁₃	—	2	8	no	—
361	C₂³×D₁₃	—	2	8	no	—
362	C₂³×D₁₃	—	4	4	no	—
363	C₂³×D₁₃	—	4	4	no	—
364	C₂³×D₁₃	—	4	4	no	—
365	C₂³×D₁₃	—	4	4	no	—
366	C₂³×D₁₃	—	4	4	no	—
367	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
368	C₂³×D₁₃	C₂⁴	1	2	yes	—
369	C₂³×D₁₃	C₂⁴	1	8	yes	—
370	C₂³×D₁₃	C₂⁴	1	2	yes	—
371	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
372	C₂³×D₁₃	C₂⁴	1	8	yes	—
373	C₂³×D₁₃	C₂⁴	1	8	yes	—
374	C₂×D₄×C₁₃	—	2	4	no	—
375	C₂×D₄×C₁₃	—	2	4	no	—
376	C₂×D₄×C₁₃	—	4	4	no	—
377	C₂×D₄×C₁₃	—	4	4	no	—
378	C₂×D₄×C₁₃	—	4	4	no	—
379	C₂×D₄×C₁₃	—	4	4	no	—
380	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
381	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
382	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
383	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
384	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
385	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
386	C₂²×C₄×C₁₃	—	2	4	no	—
387	C₂²×C₄×C₁₃	—	4	4	no	—
388	C₂²×C₄×C₁₃	—	4	4	no	—
389	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
395	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
397	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
398	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂×C₂²⋊D₁₃	—	2	8	no	—
401	C₂×C₂²⋊D₁₃	—	2	8	no	—
402	C₂×C₂²⋊D₁₃	—	2	8	no	—
403	C₂×C₂²⋊D₁₃	—	2	4	no	—
404	C₂×C₂²⋊D₁₃	—	2	4	no	—
405	C₂×C₂²⋊D₁₃	—	2	8	no	—
406	C₂×C₂²⋊D₁₃	—	4	4	no	—
407	C₂×C₂²⋊D₁₃	—	4	4	no	—
408	C₂×C₂²⋊D₁₃	—	4	4	no	—
409	C₂×C₂²⋊D₁₃	—	4	4	no	—
410	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
412	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
413	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
414	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
415	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
416	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
417	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
418	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
419	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
420	C₂²×Dic₁₃	—	2	8	no	—
421	C₂²×Dic₁₃	—	4	4	no	—
422	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
423	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
427	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
430	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
431	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
432	#6129	—	4	32	no	—
433	D₄×D₁₃	—	2	32	no	—
434	D₄×D₁₃	—	2	32	no	—
435	D₄×D₁₃	—	4	32	no	—
436	D₄×D₁₃	—	4	32	no	—
437	D₄×D₁₃	—	4	32	no	—
438	#6127	—	4	32	no	—
439	C₂×D₅₂	—	2	8	no	—
440	C₂×D₅₂	—	2	8	no	—
441	C₂×D₅₂	—	2	4	no	—
442	C₂×D₅₂	—	2	4	no	—
443	C₂×D₅₂	—	2	32	no	—
444	C₂×D₅₂	—	4	4	no	—
445	C₂×D₅₂	#41	1	8	yes	complemented
446	C₂×D₅₂	C₂⁴	1	4	yes	—
447	C₂×D₅₂	C₂⁴	1	4	yes	—
448	C₂×D₅₂	C₂⁴	1	8	yes	—
449	C₂×D₅₂	C₂⁴	1	8	yes	—
450	C₂×D₅₂	C₂⁴	1	8	yes	—
451	C₂×D₅₂	C₂⁴	1	4	yes	—
452	C₂×C₄×D₁₃	—	2	4	no	—
453	C₂×C₄×D₁₃	—	2	4	no	—
454	C₂×C₄×D₁₃	—	2	4	no	—
455	C₂×C₄×D₁₃	—	2	4	no	—
456	C₂×C₄×D₁₃	—	2	8	no	—
457	C₂×C₄×D₁₃	—	4	32	no	—
458	C₂×C₄×D₁₃	—	4	4	no	—
459	C₂×C₄×D₁₃	—	4	4	no	—
460	C₂×C₄×D₁₃	—	4	4	no	—
461	C₂×C₄×D₁₃	—	4	4	no	—
462	C₂×C₄×D₁₃	—	4	4	no	—
463	C₂×C₄×D₁₃	—	4	4	no	—
464	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
465	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
466	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
467	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
468	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
469	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
470	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
471	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
472	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
473	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
474	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
475	C₂×Dic₂₆	—	2	4	no	—
476	C₂×Dic₂₆	—	4	4	no	—
477	C₂×Dic₂₆	C₂⁴	1	4	yes	—
478	C₂×Dic₂₆	C₂⁴	1	8	yes	—
479	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
480	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
481	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
482	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
483	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
484	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
485	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
486	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
487	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
488	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
489	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
490	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
491	C₄²×C₁₃	C₂⁴	1	4	yes	—
492	C₄²×C₁₃	C₂⁴	1	4	yes	—
493	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
494	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
495	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
496	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
497	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
498	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
499	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
500	#6103	C₂⁴	1	4	yes	—
501	#6103	C₂⁴	1	4	yes	—
502	#6103	C₂⁴	1	8	yes	—
503	#6103	C₂⁴	1	8	yes	—
504	#6103	C₂⁴	1	8	yes	—
505	#6103	C₂⁴	1	8	yes	—
506	#6103	C₂⁴	1	4	yes	—
507	#6103	C₂⁴	1	4	yes	—
508	#6103	C₂⁴	1	8	yes	—
509	#6103	C₂⁴	1	8	yes	—
510	#6103	C₂⁴	1	4	yes	—
511	#6103	C₂⁴	1	8	yes	—
512	#6103	C₂⁴	1	4	yes	—
513	#6103	C₂⁴	1	8	yes	—
514	#6103	C₂⁴	1	8	yes	—
515	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
516	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
517	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
518	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
519	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
520	#6101	C₂⁴	1	4	yes	—
521	#6101	C₂⁴	1	4	yes	—
522	#6101	C₂⁴	1	4	yes	—
523	#6101	C₂⁴	1	4	yes	—
524	#6101	C₂⁴	1	4	yes	—
525	#6101	C₂⁴	1	8	yes	—
526	#6101	C₂⁴	1	4	yes	—
527	#6101	C₂⁴	1	8	yes	—
528	#6101	C₂⁴	1	8	yes	—
529	C₄×Dic₁₃	C₂⁴	1	4	yes	—
530	C₄×Dic₁₃	C₂⁴	1	4	yes	—
531	C₄×Dic₁₃	C₂⁴	1	4	yes	—
532	C₄×Dic₁₃	C₂⁴	1	4	yes	—
533	C₄×Dic₁₃	C₂⁴	1	8	yes	—
534	C₄×Dic₁₃	C₂⁴	1	8	yes	—
535	#3519	—	13	32	no	—
536	C₂×#555	—	13	1	no	—
537	C₂×#554	—	13	1	no	—
538	C₂×#553	—	13	1	no	—
539	C₂×#553	—	13	2	no	—
540	C₂×#553	—	13	1	no	—
541	C₂×#550	—	13	1	no	—
542	C₂×#546	—	13	2	no	—
543	C₂×#546	—	13	2	no	—
544	C₂×#546	—	13	2	no	—
545	C₂×D₄²	—	13	1	no	—
546	C₂×D₄²	—	13	1	no	—
547	C₂×D₄²	—	13	1	no	—
548	C₂×#540	—	13	1	no	—
549	C₂×#540	D₁₃	1	1	yes	characteristic, complemented
550	C₂×#538	—	13	2	no	—
551	C₂×#538	—	13	2	no	—
552	C₂×#532	—	13	1	no	—
553	C₂×#529	—	13	1	no	—
554	C₂×#525	—	13	2	no	—
555	C₂²×#121	—	13	2	no	—
556	C₂×#518	—	13	1	no	—
557	C₂×#518	—	13	1	no	—
558	C₂²×C₄×D₄	—	13	1	no	—
559	C₂³×C₁₃	—	2	4	no	—
560	C₂³×C₁₃	—	2	4	no	—
561	C₂³×C₁₃	—	2	2	no	—
562	C₂³×C₁₃	—	2	4	no	—
563	C₂³×C₁₃	—	2	4	no	—
564	C₂³×C₁₃	—	2	4	no	—
565	C₂³×C₁₃	—	2	2	no	—
566	C₂³×C₁₃	—	2	2	no	—
567	C₂³×C₁₃	—	2	4	no	—
568	C₂³×C₁₃	C₂⁵	1	2	yes	—
569	C₂³×C₁₃	C₂⁵	1	4	yes	—
570	C₂³×C₁₃	C₂⁵	1	4	yes	—
571	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
572	C₂²×D₁₃	—	2	2	no	—
573	C₂²×D₁₃	—	2	2	no	—
574	C₂²×D₁₃	—	2	4	no	—
575	C₂²×D₁₃	—	2	4	no	—
576	C₂²×D₁₃	—	2	2	no	—
577	C₂²×D₁₃	—	2	4	no	—
578	C₂²×D₁₃	—	2	4	no	—
579	C₂²×D₁₃	—	2	4	no	—
580	C₂²×D₁₃	—	2	2	no	—
581	C₂²×D₁₃	—	2	2	no	—
582	C₂²×D₁₃	—	2	16	no	—
583	C₂²×D₁₃	—	2	16	no	—
584	C₂²×D₁₃	—	2	16	no	—
585	C₂²×D₁₃	—	2	16	no	—
586	C₂²×D₁₃	—	4	8	no	—
587	C₂²×D₁₃	—	4	32	no	—
588	C₂²×D₁₃	—	4	8	no	—
589	C₂²×D₁₃	—	4	8	no	—
590	C₂²×D₁₃	—	4	8	no	—
591	C₂²×D₁₃	—	4	8	no	—
592	C₂²×D₁₃	—	8	16	no	—
593	C₂²×D₁₃	—	8	16	no	—
594	C₂²×D₁₃	C₂×#41	1	8	yes	—
595	C₂²×D₁₃	H(5,𝔽₂)	1	4	yes	—
596	C₂²×D₁₃	C₂⁵	1	2	yes	—
597	C₂²×D₁₃	C₂⁵	1	4	yes	—
598	C₂²×D₁₃	C₂⁵	1	4	yes	—
599	C₂²×D₁₃	C₂⁵	1	2	yes	—
600	D₄×C₁₃	—	2	8	no	—
601	D₄×C₁₃	—	2	8	no	—
602	D₄×C₁₃	—	4	8	no	—
603	D₄×C₁₃	—	4	8	no	—
604	D₄×C₁₃	—	4	8	no	—
605	D₄×C₁₃	—	4	8	no	—
606	C₂×C₄×C₁₃	—	2	2	no	—
607	C₂×C₄×C₁₃	—	2	2	no	—
608	C₂×C₄×C₁₃	—	2	4	no	—
609	C₂×C₄×C₁₃	—	2	2	no	—
610	C₂×C₄×C₁₃	—	2	2	no	—
611	C₂×C₄×C₁₃	—	2	4	no	—
612	C₂×C₄×C₁₃	—	2	2	no	—
613	C₂×C₄×C₁₃	—	2	8	no	—
614	C₂×C₄×C₁₃	—	4	8	no	—
615	C₂×C₄×C₁₃	—	4	8	no	—
616	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
617	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
618	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
619	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
620	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
621	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
622	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
623	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
624	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
625	C₂²⋊D₁₃	—	2	16	no	—
626	C₂²⋊D₁₃	—	2	16	no	—
627	C₂²⋊D₁₃	—	2	16	no	—
628	C₂²⋊D₁₃	—	2	8	no	—
629	C₂²⋊D₁₃	—	2	8	no	—
630	C₂²⋊D₁₃	—	2	16	no	—
631	C₂²⋊D₁₃	—	4	8	no	—
632	C₂²⋊D₁₃	—	4	8	no	—
633	C₂²⋊D₁₃	—	4	8	no	—
634	C₂²⋊D₁₃	—	4	8	no	—
635	C₂×Dic₁₃	—	2	2	no	—
636	C₂×Dic₁₃	—	2	2	no	—
637	C₂×Dic₁₃	—	2	2	no	—
638	C₂×Dic₁₃	—	2	2	no	—
639	C₂×Dic₁₃	—	2	4	no	—
640	C₂×Dic₁₃	—	2	4	no	—
641	C₂×Dic₁₃	—	2	2	no	—
642	C₂×Dic₁₃	—	2	16	no	—
643	C₂×Dic₁₃	—	4	8	no	—
644	C₂×Dic₁₃	H(5,𝔽₂)	1	4	yes	—
645	C₂×Dic₁₃	C₂⁵	1	2	yes	—
646	C₂×Dic₁₃	C₂⁵	1	2	yes	—
647	C₂×Dic₁₃	C₂⁵	1	2	yes	—
648	C₂×Dic₁₃	C₂⁵	1	4	yes	—
649	C₂×Dic₁₃	C₂⁵	1	2	yes	—
650	C₂×Dic₁₃	C₂⁵	1	2	yes	—
651	C₂×Dic₁₃	C₂⁵	1	4	yes	—
652	C₂×Dic₁₃	C₂⁵	1	2	yes	—
653	D₅₂	—	2	16	no	—
654	D₅₂	—	2	16	no	—
655	D₅₂	—	2	8	no	—
656	D₅₂	—	2	8	no	—
657	D₅₂	—	4	8	no	—
658	D₅₂	C₂×#41	1	16	yes	complemented
659	C₄×D₁₃	—	2	8	no	—
660	C₄×D₁₃	—	2	8	no	—
661	C₄×D₁₃	—	2	8	no	—
662	C₄×D₁₃	—	2	8	no	—
663	C₄×D₁₃	—	2	16	no	—
664	C₄×D₁₃	—	4	8	no	—
665	C₄×D₁₃	—	4	8	no	—
666	C₄×D₁₃	—	4	8	no	—
667	C₄×D₁₃	—	4	8	no	—
668	C₄×D₁₃	—	4	8	no	—
669	C₄×D₁₃	—	4	8	no	—
670	Dic₂₆	—	2	8	no	—
671	Dic₂₆	—	4	8	no	—
672	C₂²×#41	—	13	2	no	—
673	C₂²×#41	—	13	2	no	—
674	C₂³×D₄	—	13	1	no	—
675	C₂³×D₄	—	13	1	no	—
676	C₂³×D₄	—	13	2	no	—
677	C₂³×D₄	—	13	2	no	—
678	C₂³×D₄	—	13	2	no	—
679	C₂³×D₄	—	13	1	no	—
680	C₂⁴×C₄	—	13	2	no	—
681	#555	—	13	16	no	—
682	#554	—	13	16	no	—
683	#553	—	13	16	no	—
684	#553	—	13	32	no	—
685	#553	—	13	16	no	—
686	#550	—	13	16	no	—
687	#546	—	13	32	no	—
688	#546	—	13	32	no	—
689	#546	—	13	32	no	—
690	D₄²	—	13	16	no	—
691	D₄²	—	13	16	no	—
692	D₄²	—	13	16	no	—
693	#540	—	13	16	no	—
694	#540	C₂×D₁₃	1	16	yes	complemented
695	#538	—	13	32	no	—
696	#538	—	13	32	no	—
697	#532	—	13	16	no	—
698	C₂×C₄⋊Q₈	—	13	1	no	—
699	C₂×#127	—	13	1	no	—
700	C₂×#127	—	13	1	no	—
701	C₂×#127	C₂×D₁₃	1	1	yes	characteristic, complemented
702	#529	—	13	16	no	—
703	C₂×#126	—	13	1	no	—
704	C₂×#126	—	13	2	no	—
705	C₂×#126	—	13	1	no	—
706	C₂×#126	—	13	2	no	—
707	C₂×#125	—	13	1	no	—
708	C₂×#125	—	13	1	no	—
709	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
710	C₂×#124	—	13	2	no	—
711	C₂×#124	—	13	1	no	—
712	C₂×#124	—	13	2	no	—
713	C₂×#124	—	13	2	no	—
714	#525	—	13	32	no	—
715	C₂×#123	—	13	2	no	—
716	C₂×#123	—	13	2	no	—
717	C₂×#123	—	13	1	no	—
718	C₂×#123	—	13	2	no	—
719	C₂×#123	—	13	1	no	—
720	C₂×#123	—	13	2	no	—
721	C₂×#123	C₂×D₁₃	1	2	yes	complemented
722	C₂×#123	C₂×D₁₃	1	2	yes	complemented
723	C₂×C₂²⋊Q₈	—	13	1	no	—
724	C₂×C₂²⋊Q₈	—	13	2	no	—
725	C₂×C₂²⋊Q₈	—	13	2	no	—
726	C₂×C₂²⋊Q₈	—	13	2	no	—
727	C₂×#121	—	13	2	no	—
728	C₂×#121	—	13	1	no	—
729	C₂×#121	—	13	2	no	—
730	C₂×#121	—	13	2	no	—
731	C₂×#121	—	13	1	no	—
732	C₂×#121	—	13	2	no	—
733	C₂×#121	—	13	2	no	—
734	C₂×#121	—	13	2	no	—
735	C₂×#121	—	13	2	no	—
736	C₂×#121	—	13	32	no	—
737	C₂×#121	—	13	2	no	—
738	C₂×#121	—	13	1	no	—
739	C₂×#121	—	13	1	no	—
740	C₂×#121	—	13	1	no	—
741	C₂×#121	—	13	2	no	—
742	C₂×#121	—	13	2	no	—
743	C₂×#121	—	13	2	no	—
744	C₂×#121	—	13	2	no	—
745	C₂×#121	C₂×D₁₃	1	2	yes	complemented
746	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
747	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
748	C₂×#121	C₂×D₁₃	1	2	yes	complemented
749	C₂×#120	—	13	2	no	—
750	C₂×#120	—	13	2	no	—
751	C₂×#120	—	13	2	no	—
752	C₂×#120	—	13	2	no	—
753	C₂×#120	—	13	2	no	—
754	C₂×#120	—	13	2	no	—
755	#518	—	13	16	no	—
756	#518	—	13	16	no	—
757	C₂×C₄×Q₈	—	13	1	no	—
758	C₂×C₄×D₄	—	13	1	no	—
759	C₂×C₄×D₄	—	13	1	no	—
760	C₂×C₄×D₄	—	13	2	no	—
761	C₂×C₄×D₄	—	13	2	no	—
762	C₂×C₄×D₄	—	13	1	no	—
763	C₂×C₄×D₄	—	13	1	no	—
764	C₂×C₄×D₄	—	13	2	no	—
765	C₂×C₄×D₄	—	13	16	no	—
766	C₂×C₄×D₄	—	13	1	no	—
767	C₂×C₄×D₄	—	13	1	no	—
768	C₂×C₄×D₄	—	13	2	no	—
769	C₂×C₄×D₄	—	13	2	no	—
770	C₂×C₄×D₄	—	13	2	no	—
771	C₂×C₄×D₄	—	13	2	no	—
772	C₂×C₄×D₄	—	13	2	no	—
773	C₂×C₄×D₄	—	13	2	no	—
774	C₂×C₄×D₄	—	13	1	no	—
775	C₂×C₄×D₄	—	13	1	no	—
776	C₂×C₄×D₄	—	13	1	no	—
777	C₂×C₄×D₄	—	13	1	no	—
778	C₂×C₄×D₄	—	13	1	no	—
779	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
780	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
781	C₂×#117	—	13	1	no	—
782	C₂×#117	—	13	1	no	—
783	C₂×#117	—	13	2	no	—
784	C₂×#117	—	13	1	no	—
785	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
786	C₂²×C₄⋊C₄	—	13	1	no	—
787	C₂²×C₄⋊C₄	—	13	2	no	—
788	C₂²×C₂²⋊C₄	—	13	2	no	—
789	C₂²×C₂²⋊C₄	—	13	2	no	—
790	C₂²×C₂²⋊C₄	—	13	2	no	—
791	C₂²×C₂²⋊C₄	—	13	2	no	—
792	C₂²×C₂²⋊C₄	—	13	2	no	—
793	C₂²×C₄²	—	13	1	no	—
794	C₂²×C₁₃	—	2	4	no	—
795	C₂²×C₁₃	—	2	4	no	—
796	C₂²×C₁₃	—	2	2	no	—
797	C₂²×C₁₃	—	2	4	no	—
798	C₂²×C₁₃	—	2	4	no	—
799	C₂²×C₁₃	—	2	4	no	—
800	C₂²×C₁₃	—	2	2	no	—
801	C₂²×C₁₃	—	2	2	no	—
802	C₂²×C₁₃	—	2	4	no	—
803	C₂²×C₁₃	—	4	8	no	—
804	C₂²×C₁₃	—	4	4	no	—
805	C₂²×C₁₃	—	4	8	no	—
806	C₂²×C₁₃	C₂²×#41	1	2	yes	—
807	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
808	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
809	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
810	C₂×D₁₃	—	2	2	no	—
811	C₂×D₁₃	—	2	2	no	—
812	C₂×D₁₃	—	2	4	no	—
813	C₂×D₁₃	—	2	4	no	—
814	C₂×D₁₃	—	2	8	no	—
815	C₂×D₁₃	—	2	16	no	—
816	C₂×D₁₃	—	2	2	no	—
817	C₂×D₁₃	—	2	4	no	—
818	C₂×D₁₃	—	2	4	no	—
819	C₂×D₁₃	—	2	4	no	—
820	C₂×D₁₃	—	2	2	no	—
821	C₂×D₁₃	—	2	2	no	—
822	C₂×D₁₃	—	4	32	no	—
823	C₂×D₁₃	—	4	8	no	—
824	C₂×D₁₃	—	4	4	no	—
825	C₂×D₁₃	—	8	16	no	—
826	C₂×D₁₃	—	8	16	no	—
827	C₂×D₁₃	C₂²×#41	1	8	yes	—
828	C₂×D₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
829	C₄×C₁₃	—	2	2	no	—
830	C₄×C₁₃	—	2	2	no	—
831	C₄×C₁₃	—	2	4	no	—
832	C₄×C₁₃	—	2	2	no	—
833	C₄×C₁₃	—	2	2	no	—
834	C₄×C₁₃	—	2	4	no	—
835	C₄×C₁₃	—	2	2	no	—
836	C₄×C₁₃	C₂²×#41	1	4	yes	—
837	Dic₁₃	—	2	2	no	—
838	Dic₁₃	—	2	2	no	—
839	Dic₁₃	—	2	2	no	—
840	Dic₁₃	—	2	2	no	—
841	Dic₁₃	—	2	4	no	—
842	Dic₁₃	—	2	4	no	—
843	Dic₁₃	—	2	2	no	—
844	Dic₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
845	C₂⁵	—	13	2	no	—
846	C₂⁵	—	13	2	no	—
847	C₂⁵	—	13	2	no	—
848	C₂×#41	—	13	16	no	—
849	C₂×#41	—	13	16	no	—
850	C₂×#41	—	52	8	no	—
851	C₂×#41	—	52	8	no	—
852	C₂²×Q₈	—	13	1	no	—
853	C₂²×Q₈	—	13	2	no	—
854	C₂²×D₄	—	13	2	no	—
855	C₂²×D₄	—	13	2	no	—
856	C₂²×D₄	—	13	2	no	—
857	C₂²×D₄	—	13	1	no	—
858	C₂²×D₄	—	13	1	no	—
859	C₂²×D₄	—	13	2	no	—
860	C₂²×D₄	—	13	2	no	—
861	C₂²×D₄	—	13	2	no	—
862	C₂²×D₄	—	13	2	no	—
863	C₂²×D₄	—	13	2	no	—
864	C₂²×D₄	—	13	8	no	—
865	C₂²×D₄	—	13	8	no	—
866	C₂²×D₄	—	13	16	no	—
867	C₂²×D₄	—	13	16	no	—
868	C₂²×D₄	—	13	16	no	—
869	C₂²×D₄	—	13	1	no	—
870	C₂²×D₄	—	13	2	no	—
871	C₂²×D₄	—	13	1	no	—
872	C₂²×D₄	—	13	2	no	—
873	C₂²×D₄	—	13	1	no	—
874	C₂²×D₄	—	13	8	no	—
875	C₂²×D₄	—	13	2	no	—
876	C₂²×D₄	—	26	8	no	—
877	C₂²×D₄	—	26	8	no	—
878	C₂²×D₄	—	26	8	no	—
879	C₂²×D₄	—	52	8	no	—
880	C₂²×D₄	—	52	8	no	—
881	C₂²×D₄	—	52	8	no	—
882	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
883	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
884	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
885	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
886	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
887	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
888	C₂³×C₄	—	13	2	no	—
889	C₂³×C₄	—	13	2	no	—
890	C₂³×C₄	—	13	1	no	—
891	C₂³×C₄	—	13	1	no	—
892	C₂³×C₄	—	13	2	no	—
893	C₂³×C₄	—	13	1	no	—
894	C₂³×C₄	—	13	1	no	—
895	C₂³×C₄	—	13	2	no	—
896	C₂³×C₄	—	13	2	no	—
897	C₂³×C₄	—	13	2	no	—
898	C₂³×C₄	—	13	2	no	—
899	C₂³×C₄	—	13	2	no	—
900	C₂³×C₄	—	13	2	no	—
901	C₂³×C₄	—	13	16	no	—
902	C₂³×C₄	—	52	8	no	—
903	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
904	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
905	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
906	C₄⋊Q₈	—	13	8	no	—
907	#127	—	13	8	no	—
908	#127	—	13	8	no	—
909	#127	C₂²×D₁₃	1	8	yes	complemented
910	#126	—	13	8	no	—
911	#126	—	13	16	no	—
912	#126	—	13	8	no	—
913	#126	—	13	16	no	—
914	#125	—	13	8	no	—
915	#125	—	13	8	no	—
916	#125	C₂²×D₁₃	1	8	yes	complemented
917	#124	—	13	16	no	—
918	#124	—	13	8	no	—
919	#124	—	13	16	no	—
920	#124	—	13	16	no	—
921	#123	—	13	16	no	—
922	#123	—	13	16	no	—
923	#123	—	13	8	no	—
924	#123	—	13	16	no	—
925	#123	—	13	8	no	—
926	#123	—	13	16	no	—
927	#123	C₂²×D₁₃	1	16	yes	complemented
928	#123	C₂²×D₁₃	1	16	yes	complemented
929	C₂²⋊Q₈	—	13	8	no	—
930	C₂²⋊Q₈	—	13	16	no	—
931	C₂²⋊Q₈	—	13	16	no	—
932	C₂²⋊Q₈	—	13	16	no	—
933	#121	—	13	16	no	—
934	#121	—	13	16	no	—
935	#121	—	13	16	no	—
936	#121	—	13	8	no	—
937	#121	—	13	16	no	—
938	#121	—	13	16	no	—
939	#121	—	13	16	no	—
940	#121	—	13	8	no	—
941	#121	—	13	16	no	—
942	#121	—	13	16	no	—
943	#121	—	13	8	no	—
944	#121	—	13	8	no	—
945	#121	—	13	8	no	—
946	#121	—	13	16	no	—
947	#121	—	13	16	no	—
948	#121	—	13	16	no	—
949	#121	—	13	16	no	—
950	#121	C₂²×D₁₃	1	16	yes	complemented
951	#121	C₂²×D₁₃	1	8	yes	complemented
952	#121	C₂²×D₁₃	1	8	yes	complemented
953	#121	C₂²×D₁₃	1	16	yes	complemented
954	#120	—	13	16	no	—
955	#120	—	13	16	no	—
956	#120	—	13	16	no	—
957	#120	—	13	16	no	—
958	#120	—	13	16	no	—
959	#120	—	13	16	no	—
960	C₄×Q₈	—	13	8	no	—
961	C₄×D₄	—	13	8	no	—
962	C₄×D₄	—	13	8	no	—
963	C₄×D₄	—	13	16	no	—
964	C₄×D₄	—	13	16	no	—
965	C₄×D₄	—	13	8	no	—
966	C₄×D₄	—	13	8	no	—
967	C₄×D₄	—	13	16	no	—
968	C₄×D₄	—	13	8	no	—
969	C₄×D₄	—	13	16	no	—
970	C₄×D₄	—	13	8	no	—
971	C₄×D₄	—	13	16	no	—
972	C₄×D₄	—	13	16	no	—
973	C₄×D₄	—	13	16	no	—
974	C₄×D₄	—	13	16	no	—
975	C₄×D₄	—	13	16	no	—
976	C₄×D₄	—	13	8	no	—
977	C₄×D₄	—	13	8	no	—
978	C₄×D₄	—	13	8	no	—
979	C₄×D₄	—	13	8	no	—
980	C₄×D₄	—	13	8	no	—
981	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
982	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
983	#117	—	13	8	no	—
984	#117	—	13	8	no	—
985	#117	—	13	16	no	—
986	#117	—	13	8	no	—
987	#117	C₂²×D₁₃	1	8	yes	complemented
988	C₂×C₄⋊C₄	—	13	1	no	—
989	C₂×C₄⋊C₄	—	13	1	no	—
990	C₂×C₄⋊C₄	—	13	2	no	—
991	C₂×C₄⋊C₄	—	13	2	no	—
992	C₂×C₄⋊C₄	—	13	2	no	—
993	C₂×C₄⋊C₄	—	13	1	no	—
994	C₂×C₄⋊C₄	—	13	1	no	—
995	C₂×C₄⋊C₄	—	13	1	no	—
996	C₂×C₄⋊C₄	—	13	1	no	—
997	C₂×C₄⋊C₄	—	13	1	no	—
998	C₂×C₄⋊C₄	—	13	1	no	—
999	C₂×C₄⋊C₄	—	13	2	no	—
1000	C₂×C₄⋊C₄	—	13	1	no	—
1001	C₂×C₄⋊C₄	—	13	1	no	—
1002	C₂×C₄⋊C₄	—	13	8	no	—
1003	C₂×C₄⋊C₄	—	13	16	no	—
1004	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
1006	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1009	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
1010	C₂×C₂²⋊C₄	—	13	2	no	—
1011	C₂×C₂²⋊C₄	—	13	2	no	—
1012	C₂×C₂²⋊C₄	—	13	2	no	—
1013	C₂×C₂²⋊C₄	—	13	2	no	—
1014	C₂×C₂²⋊C₄	—	13	1	no	—
1015	C₂×C₂²⋊C₄	—	13	1	no	—
1016	C₂×C₂²⋊C₄	—	13	2	no	—
1017	C₂×C₂²⋊C₄	—	13	2	no	—
1018	C₂×C₂²⋊C₄	—	13	1	no	—
1019	C₂×C₂²⋊C₄	—	13	2	no	—
1020	C₂×C₂²⋊C₄	—	13	1	no	—
1021	C₂×C₂²⋊C₄	—	13	2	no	—
1022	C₂×C₂²⋊C₄	—	13	2	no	—
1023	C₂×C₂²⋊C₄	—	13	2	no	—
1024	C₂×C₂²⋊C₄	—	13	2	no	—
1025	C₂×C₂²⋊C₄	—	13	2	no	—
1026	C₂×C₂²⋊C₄	—	13	16	no	—
1027	C₂×C₂²⋊C₄	—	13	1	no	—
1028	C₂×C₂²⋊C₄	—	13	1	no	—
1029	C₂×C₂²⋊C₄	—	13	1	no	—
1030	C₂×C₂²⋊C₄	—	13	1	no	—
1031	C₂×C₂²⋊C₄	—	13	2	no	—
1032	C₂×C₂²⋊C₄	—	13	2	no	—
1033	C₂×C₂²⋊C₄	—	13	16	no	—
1034	C₂×C₂²⋊C₄	—	13	16	no	—
1035	C₂×C₂²⋊C₄	—	13	16	no	—
1036	C₂×C₂²⋊C₄	—	13	16	no	—
1037	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1038	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1039	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1040	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1041	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1042	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1043	C₂×C₄²	—	13	2	no	—
1044	C₂×C₄²	—	13	2	no	—
1045	C₂×C₄²	—	13	1	no	—
1046	C₂×C₄²	—	13	1	no	—
1047	C₂×C₄²	—	13	1	no	—
1048	C₂×C₄²	—	13	1	no	—
1049	C₂×C₄²	—	13	8	no	—
1050	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1051	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1052	C₂×C₁₃	—	4	4	no	—
1053	C₂×C₁₃	—	4	2	no	—
1054	C₂×C₁₃	—	4	4	no	—
1055	C₂×C₁₃	#3519	1	4	yes	complemented
1056	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1057	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1058	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1059	D₁₃	—	2	4	no	—
1060	D₁₃	—	2	8	no	—
1061	D₁₃	—	4	4	no	—
1062	D₁₃	—	4	2	no	—
1063	C₂⁴	—	13	2	no	—
1064	C₂⁴	—	13	1	no	—
1065	C₂⁴	—	13	1	no	—
1066	C₂⁴	—	13	2	no	—
1067	C₂⁴	—	13	8	no	—
1068	C₂⁴	—	13	8	no	—
1069	C₂⁴	—	13	8	no	—
1070	C₂⁴	—	26	8	no	—
1071	C₂⁴	—	26	8	no	—
1072	C₂⁴	—	26	8	no	—
1073	C₂⁴	—	26	8	no	—
1074	C₂⁴	—	52	4	no	—
1075	C₂⁴	—	52	4	no	—
1076	C₂⁴	—	52	4	no	—
1077	C₂⁴	—	52	4	no	—
1078	C₂⁴	—	52	4	no	—
1079	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1080	C₂⁴	C₂³×D₁₃	1	2	yes	—
1081	C₂⁴	C₂³×D₁₃	1	2	yes	—
1082	#41	—	52	32	no	—
1083	#41	—	52	32	no	—
1084	C₂×Q₈	—	13	4	no	—
1085	C₂×Q₈	—	13	8	no	—
1086	C₂×Q₈	—	26	4	no	—
1087	C₂×Q₈	—	52	4	no	—
1088	C₂×D₄	—	2	4	no	—
1089	C₂×D₄	—	2	4	no	—
1090	C₂×D₄	—	4	4	no	—
1091	C₂×D₄	—	4	4	no	—
1092	C₂×D₄	—	4	4	no	—
1093	C₂×D₄	—	4	4	no	—
1094	C₂×D₄	—	13	8	no	—
1095	C₂×D₄	—	13	8	no	—
1096	C₂×D₄	—	13	8	no	—
1097	C₂×D₄	—	13	4	no	—
1098	C₂×D₄	—	13	4	no	—
1099	C₂×D₄	—	13	8	no	—
1100	C₂×D₄	—	13	8	no	—
1101	C₂×D₄	—	13	8	no	—
1102	C₂×D₄	—	13	8	no	—
1103	C₂×D₄	—	13	8	no	—
1104	C₂×D₄	—	13	8	no	—
1105	C₂×D₄	—	13	4	no	—
1106	C₂×D₄	—	13	8	no	—
1107	C₂×D₄	—	13	4	no	—
1108	C₂×D₄	—	13	8	no	—
1109	C₂×D₄	—	13	4	no	—
1110	C₂×D₄	—	13	8	no	—
1111	C₂×D₄	—	26	32	no	—
1112	C₂×D₄	—	26	8	no	—
1113	C₂×D₄	—	26	4	no	—
1114	C₂×D₄	—	26	8	no	—
1115	C₂×D₄	—	26	4	no	—
1116	C₂×D₄	—	26	8	no	—
1117	C₂×D₄	—	26	32	no	—
1118	C₂×D₄	—	26	32	no	—
1119	C₂×D₄	—	26	8	no	—
1120	C₂×D₄	—	26	8	no	—
1121	C₂×D₄	—	26	4	no	—
1122	C₂×D₄	—	26	8	no	—
1123	C₂×D₄	—	26	4	no	—
1124	C₂×D₄	—	52	4	no	—
1125	C₂×D₄	—	52	32	no	—
1126	C₂×D₄	—	52	4	no	—
1127	C₂×D₄	—	52	4	no	—
1128	C₂×D₄	—	52	4	no	—
1129	C₂×D₄	—	52	4	no	—
1130	C₂×D₄	—	52	32	no	—
1131	C₂×D₄	—	52	32	no	—
1132	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1133	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1134	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1135	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1136	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1137	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1138	C₂²×C₄	—	2	4	no	—
1139	C₂²×C₄	—	4	4	no	—
1140	C₂²×C₄	—	4	4	no	—
1141	C₂²×C₄	—	13	1	no	—
1142	C₂²×C₄	—	13	8	no	—
1143	C₂²×C₄	—	13	1	no	—
1144	C₂²×C₄	—	13	1	no	—
1145	C₂²×C₄	—	13	2	no	—
1146	C₂²×C₄	—	13	1	no	—
1147	C₂²×C₄	—	13	2	no	—
1148	C₂²×C₄	—	13	1	no	—
1149	C₂²×C₄	—	13	1	no	—
1150	C₂²×C₄	—	13	8	no	—
1151	C₂²×C₄	—	13	4	no	—
1152	C₂²×C₄	—	13	4	no	—
1153	C₂²×C₄	—	13	4	no	—
1154	C₂²×C₄	—	13	8	no	—
1155	C₂²×C₄	—	13	4	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	—	26	4	no	—
1163	C₂²×C₄	—	26	8	no	—
1164	C₂²×C₄	—	26	4	no	—
1165	C₂²×C₄	—	26	8	no	—
1166	C₂²×C₄	—	26	4	no	—
1167	C₂²×C₄	—	26	4	no	—
1168	C₂²×C₄	—	52	4	no	—
1169	C₂²×C₄	—	52	4	no	—
1170	C₂²×C₄	—	52	4	no	—
1171	C₂²×C₄	—	52	4	no	—
1172	C₂²×C₄	—	52	4	no	—
1173	C₂²×C₄	—	52	4	no	—
1174	C₂²×C₄	—	52	32	no	—
1175	C₂²×C₄	—	52	4	no	—
1176	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1177	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1181	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1184	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1185	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1186	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1187	C₄⋊C₄	—	13	4	no	—
1188	C₄⋊C₄	—	13	4	no	—
1189	C₄⋊C₄	—	13	8	no	—
1190	C₄⋊C₄	—	13	8	no	—
1191	C₄⋊C₄	—	13	8	no	—
1192	C₄⋊C₄	—	13	4	no	—
1193	C₄⋊C₄	—	13	4	no	—
1194	C₄⋊C₄	—	13	4	no	—
1195	C₄⋊C₄	—	13	4	no	—
1196	C₄⋊C₄	—	13	4	no	—
1197	C₄⋊C₄	—	13	4	no	—
1198	C₄⋊C₄	—	13	8	no	—
1199	C₄⋊C₄	—	13	4	no	—
1200	C₄⋊C₄	—	13	4	no	—
1201	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1202	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1203	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1204	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1205	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1206	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1207	C₂²⋊C₄	—	13	8	no	—
1208	C₂²⋊C₄	—	13	8	no	—
1209	C₂²⋊C₄	—	13	8	no	—
1210	C₂²⋊C₄	—	13	8	no	—
1211	C₂²⋊C₄	—	13	4	no	—
1212	C₂²⋊C₄	—	13	4	no	—
1213	C₂²⋊C₄	—	13	8	no	—
1214	C₂²⋊C₄	—	13	8	no	—
1215	C₂²⋊C₄	—	13	4	no	—
1216	C₂²⋊C₄	—	13	8	no	—
1217	C₂²⋊C₄	—	13	4	no	—
1218	C₂²⋊C₄	—	13	8	no	—
1219	C₂²⋊C₄	—	13	8	no	—
1220	C₂²⋊C₄	—	13	8	no	—
1221	C₂²⋊C₄	—	13	8	no	—
1222	C₂²⋊C₄	—	13	8	no	—
1223	C₂²⋊C₄	—	13	4	no	—
1224	C₂²⋊C₄	—	13	4	no	—
1225	C₂²⋊C₄	—	13	4	no	—
1226	C₂²⋊C₄	—	13	4	no	—
1227	C₂²⋊C₄	—	13	8	no	—
1228	C₂²⋊C₄	—	13	8	no	—
1229	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1230	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1231	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1232	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1233	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1234	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1235	C₄²	—	13	4	no	—
1236	C₄²	—	13	4	no	—
1237	C₄²	—	13	4	no	—
1238	C₄²	—	13	8	no	—
1239	C₄²	—	13	8	no	—
1240	C₄²	—	13	4	no	—
1241	C₄²	C₂³×D₁₃	1	4	yes	—
1242	C₄²	C₂³×D₁₃	1	4	yes	—
1243	C₁₃	C₂×#3519	1	1	yes	characteristic, complemented, Sylow
1244	C₂³	—	2	2	no	—
1245	C₂³	—	2	4	no	—
1246	C₂³	—	2	4	no	—
1247	C₂³	—	2	4	no	—
1248	C₂³	—	2	4	no	—
1249	C₂³	—	2	4	no	—
1250	C₂³	—	2	2	no	—
1251	C₂³	—	2	2	no	—
1252	C₂³	—	2	4	no	—
1253	C₂³	—	13	8	no	—
1254	C₂³	—	13	4	no	—
1255	C₂³	—	13	4	no	—
1256	C₂³	—	13	2	no	—
1257	C₂³	—	13	2	no	—
1258	C₂³	—	13	4	no	—
1259	C₂³	—	26	16	no	—
1260	C₂³	—	26	16	no	—
1261	C₂³	—	26	16	no	—
1262	C₂³	—	26	16	no	—
1263	C₂³	—	26	2	no	—
1264	C₂³	—	26	2	no	—
1265	C₂³	—	26	4	no	—
1266	C₂³	—	26	4	no	—
1267	C₂³	—	26	2	no	—
1268	C₂³	—	26	4	no	—
1269	C₂³	—	26	4	no	—
1270	C₂³	—	26	4	no	—
1271	C₂³	—	26	2	no	—
1272	C₂³	—	26	2	no	—
1273	C₂³	—	52	8	no	—
1274	C₂³	—	52	8	no	—
1275	C₂³	—	52	8	no	—
1276	C₂³	—	52	8	no	—
1277	C₂³	—	52	8	no	—
1278	C₂³	—	52	32	no	—
1279	C₂³	—	104	16	no	—
1280	C₂³	—	104	16	no	—
1281	C₂³	C₂⁴×D₁₃	1	2	yes	—
1282	C₂³	C₂⁴×D₁₃	1	4	yes	—
1283	C₂³	C₂⁴×D₁₃	1	4	yes	—
1284	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1285	Q₈	—	26	8	no	—
1286	Q₈	—	52	8	no	—
1287	D₄	—	2	8	no	—
1288	D₄	—	2	8	no	—
1289	D₄	—	4	8	no	—
1290	D₄	—	4	8	no	—
1291	D₄	—	4	8	no	—
1292	D₄	—	4	8	no	—
1293	D₄	—	13	16	no	—
1294	D₄	—	26	16	no	—
1295	D₄	—	26	8	no	—
1296	D₄	—	26	16	no	—
1297	D₄	—	26	8	no	—
1298	D₄	—	26	16	no	—
1299	D₄	—	26	16	no	—
1300	D₄	—	26	16	no	—
1301	D₄	—	26	8	no	—
1302	D₄	—	26	16	no	—
1303	D₄	—	26	8	no	—
1304	D₄	—	52	8	no	—
1305	D₄	—	52	8	no	—
1306	D₄	—	52	8	no	—
1307	D₄	—	52	8	no	—
1308	D₄	—	52	8	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	4	no	—
1313	C₂×C₄	—	2	4	no	—
1314	C₂×C₄	—	2	2	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	8	no	—
1317	C₂×C₄	—	4	8	no	—
1318	C₂×C₄	—	4	8	no	—
1319	C₂×C₄	—	13	4	no	—
1320	C₂×C₄	—	13	2	no	—
1321	C₂×C₄	—	13	2	no	—
1322	C₂×C₄	—	13	2	no	—
1323	C₂×C₄	—	13	4	no	—
1324	C₂×C₄	—	13	2	no	—
1325	C₂×C₄	—	13	4	no	—
1326	C₂×C₄	—	13	2	no	—
1327	C₂×C₄	—	13	2	no	—
1328	C₂×C₄	—	26	8	no	—
1329	C₂×C₄	—	26	16	no	—
1330	C₂×C₄	—	26	8	no	—
1331	C₂×C₄	—	26	16	no	—
1332	C₂×C₄	—	26	2	no	—
1333	C₂×C₄	—	26	2	no	—
1334	C₂×C₄	—	26	4	no	—
1335	C₂×C₄	—	26	2	no	—
1336	C₂×C₄	—	26	2	no	—
1337	C₂×C₄	—	26	4	no	—
1338	C₂×C₄	—	26	2	no	—
1339	C₂×C₄	—	26	8	no	—
1340	C₂×C₄	—	26	8	no	—
1341	C₂×C₄	—	52	8	no	—
1342	C₂×C₄	—	52	8	no	—
1343	C₂×C₄	—	52	8	no	—
1344	C₂×C₄	—	52	8	no	—
1345	C₂×C₄	—	52	8	no	—
1346	C₂×C₄	—	52	8	no	—
1347	C₂×C₄	—	52	8	no	—
1348	C₂×C₄	#41×D₁₃	1	4	yes	—
1349	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1350	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1351	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1352	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1353	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1354	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1355	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1356	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1357	C₂²	—	2	2	no	—
1358	C₂²	—	2	4	no	—
1359	C₂²	—	2	4	no	—
1360	C₂²	—	2	4	no	—
1361	C₂²	—	2	4	no	—
1362	C₂²	—	2	4	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	4	no	—
1366	C₂²	—	4	8	no	—
1367	C₂²	—	4	8	no	—
1368	C₂²	—	4	4	no	—
1369	C₂²	—	13	8	no	—
1370	C₂²	—	13	4	no	—
1371	C₂²	—	26	2	no	—
1372	C₂²	—	26	8	no	—
1373	C₂²	—	26	16	no	—
1374	C₂²	—	26	2	no	—
1375	C₂²	—	26	4	no	—
1376	C₂²	—	26	4	no	—
1377	C₂²	—	26	2	no	—
1378	C₂²	—	26	4	no	—
1379	C₂²	—	26	4	no	—
1380	C₂²	—	26	4	no	—
1381	C₂²	—	26	2	no	—
1382	C₂²	—	26	2	no	—
1383	C₂²	—	52	32	no	—
1384	C₂²	—	52	8	no	—
1385	C₂²	—	52	4	no	—
1386	C₂²	—	104	16	no	—
1387	C₂²	—	104	16	no	—
1388	C₂²	C₂×#41×D₁₃	1	2	yes	—
1389	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1390	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1391	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1392	C₄	—	2	2	no	—
1393	C₄	—	2	2	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	2	4	no	—
1396	C₄	—	2	4	no	—
1397	C₄	—	2	2	no	—
1398	C₄	—	2	2	no	—
1399	C₄	—	13	4	no	—
1400	C₄	—	26	2	no	—
1401	C₄	—	26	2	no	—
1402	C₄	—	26	4	no	—
1403	C₄	—	26	2	no	—
1404	C₄	—	26	2	no	—
1405	C₄	—	26	4	no	—
1406	C₄	—	26	2	no	—
1407	C₄	C₂×#41×D₁₃	1	4	yes	—
1408	C₂	—	4	4	no	—
1409	C₂	—	4	2	no	—
1410	C₂	—	4	4	no	—
1411	C₂	—	26	4	no	—
1412	C₂	—	26	8	no	—
1413	C₂	—	52	2	no	—
1414	C₂	—	52	4	no	—
1415	C₂	#13128866	1	4	yes	direct product factor
1416	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1417	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1418	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#540	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#540	D₁₃
hypocenter	C₁₃	C₂×#3519
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#540

Complements

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

N	H ≅ G/N	type
1. #13128866	C₂	direct (N × H)
2. C₂×#11719321	C₂	semidirect
3. C₂×#11719395	C₂	semidirect
4. C₂×#11719400	C₂	semidirect
5. C₂×#11719319	C₂	semidirect
6. C₂×#11719366	C₂	semidirect
7. C₂×#11719423	C₂	semidirect
8. C₂×#11719317	C₂	semidirect
9. C₂×#11719359	C₂	semidirect
10. C₂×#11719315	C₂	semidirect
11. C₂×#11719422	C₂	semidirect
12. C₂×#11719314	C₂	semidirect
13. C₂×#11719314	C₂	semidirect
14. C₂×#11719267	C₂	semidirect
15. C₂×#11719362	C₂	semidirect
16. C₂×#11719318	C₂	semidirect
17. C₂×#11719253	C₂	semidirect
18. C₂×#11719233	C₂	semidirect
19. C₂×#11719361	C₂	semidirect
20. C₂×D₁₃×#121	C₂	semidirect
21. C₂×#11719226	C₂	semidirect
22. C₂×#11719250	C₂	semidirect
23. C₂×C₄×D₄×D₁₃	C₂	semidirect
24. C₂×C₁₃×#540	C₂	semidirect
25. C₂²×#6129	C₂²	semidirect
28. C₂²×D₄×D₁₃	C₂²	semidirect
29. C₂²×D₄×D₁₃	C₂²	semidirect
30. C₂²×D₄×D₁₃	C₂²	semidirect
31. C₂²×#6127	C₂²	semidirect
33. C₂³×C₄×D₁₃	C₂²	semidirect
34. C₁₃×#540	C₂²	semidirect
35. C₂×C₁₃×#127	C₂²	semidirect
36. C₂×C₁₃×#125	C₂²	semidirect
37. C₂×C₁₃×#123	C₂²	semidirect
38. C₂×C₁₃×#123	C₂²	semidirect
39. C₂×C₁₃×#121	C₂²	semidirect
40. C₂×C₁₃×#121	C₂²	semidirect
41. C₂×C₁₃×#121	C₂²	semidirect
42. C₂×C₁₃×#121	C₂²	semidirect
43. C₂×C₄×D₄×C₁₃	C₂²	semidirect
44. C₂×C₄×D₄×C₁₃	C₂²	semidirect
45. C₂×C₁₃×#117	C₂²	semidirect
46. C₂×#88194	C₂²	semidirect
47. C₂×#88194	C₂²	semidirect
48. C₂×#88193	C₂²	semidirect
49. C₂×#88193	C₂²	semidirect
50. C₂×#88193	C₂²	semidirect
51. C₂×#88192	C₂²	semidirect
52. C₂×#88192	C₂²	semidirect
53. C₂×#88192	C₂²	semidirect
54. C₂×#88192	C₂²	semidirect
55. C₂×#88192	C₂²	semidirect
56. C₂×#88191	C₂²	semidirect
57. C₂×#88191	C₂²	semidirect
58. C₂×#88191	C₂²	semidirect
59. C₂×#88191	C₂²	semidirect
60. C₂×#88190	C₂²	semidirect
61. C₂×#88189	C₂²	semidirect
62. C₂×D₄×Dic₁₃	C₂²	semidirect
63. C₂×D₄×Dic₁₃	C₂²	semidirect
64. C₂×#88184	C₂²	semidirect
65. C₂×#88183	C₂²	semidirect
66. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
67. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
68. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
69. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
70. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
71. C₂²×#6103	C₂²	semidirect
72. C₂×#88180	C₂²	semidirect
73. #11719423	C₂²	semidirect
74. #11719422	C₂²	semidirect
75. #11719400	C₂²	semidirect
76. #11719395	C₂²	semidirect
77. #11719366	C₂²	semidirect
78. #11719362	C₂²	semidirect
79. #11719361	C₂²	semidirect
80. #11719359	C₂²	semidirect
81. #11719321	C₂²	semidirect
82. #11719319	C₂²	semidirect
83. #11719318	C₂²	semidirect
84. #11719317	C₂²	semidirect
85. #11719315	C₂²	semidirect
86. #11719314	C₂²	semidirect
87. #11719314	C₂²	semidirect
88. D₁₃×#121	C₂²	semidirect
89. #11719267	C₂²	semidirect
90. #11719253	C₂²	semidirect
91. #11719250	C₂²	semidirect
92. C₄×D₄×D₁₃	C₂²	semidirect
93. #11719233	C₂²	semidirect
94. #11719226	C₂²	semidirect
95. C₂×#88152	C₂²	semidirect
96. C₂×#88152	C₂²	semidirect
97. C₂×#88151	C₂²	semidirect
98. C₂×#88150	C₂²	semidirect
99. C₂×#88150	C₂²	semidirect
100. C₂×#88150	C₂²	semidirect
101. C₂×#88149	C₂²	semidirect
102. C₂×#88149	C₂²	semidirect
103. C₂×#88149	C₂²	semidirect
104. C₂×#88148	C₂²	semidirect
105. C₂×#88148	C₂²	semidirect
108. C₂×#88147	C₂²	semidirect
109. C₂×#88147	C₂²	semidirect
110. C₂×#88147	C₂²	semidirect
111. C₂×#88146	C₂²	semidirect
112. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
113. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
114. C₂×#88144	C₂²	semidirect
115. C₂×#88143	C₂²	semidirect
116. C₂×#88142	C₂²	semidirect
117. C₂×#88139	C₂²	semidirect
118. C₂×#88139	C₂²	semidirect
119. C₂×#88139	C₂²	semidirect
121. C₂×#88138	C₂²	semidirect
122. C₂×#88138	C₂²	semidirect
123. C₂×#88138	C₂²	semidirect
124. C₂×#88138	C₂²	semidirect
125. C₂×#88137	C₂²	semidirect
126. C₂×#88137	C₂²	semidirect
127. C₂×#88136	C₂²	semidirect
128. C₂×#88136	C₂²	semidirect
129. C₂×#88135	C₂²	semidirect
130. C₂×#88135	C₂²	semidirect
131. C₂×#88135	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
135. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
136. C₂×#88133	C₂²	semidirect
137. C₂×#88133	C₂²	semidirect
138. C₂×#88131	C₂²	semidirect
141. C₂×C₄×D₅₂	C₂²	semidirect
142. C₂×C₄×D₅₂	C₂²	semidirect
143. C₂×C₄×D₅₂	C₂²	semidirect
144. C₂×#88126	C₂²	semidirect
145. C₂×C₄²×D₁₃	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
172. C₂×#6129	C₂³	semidirect
180. C₂×D₄×D₁₃	C₂³	semidirect
181. C₂×D₄×D₁₃	C₂³	semidirect
182. C₂×D₄×D₁₃	C₂³	semidirect
184. C₂×#6127	C₂³	semidirect
205. C₂²×C₄×D₁₃	C₂³	semidirect
208. C₁₃×#127	C₂³	semidirect
209. C₁₃×#125	C₂³	semidirect
210. C₁₃×#123	C₂³	semidirect
211. C₁₃×#123	C₂³	semidirect
212. C₁₃×#121	C₂³	semidirect
213. C₁₃×#121	C₂³	semidirect
214. C₁₃×#121	C₂³	semidirect
215. C₁₃×#121	C₂³	semidirect
216. C₄×D₄×C₁₃	C₂³	semidirect
217. C₄×D₄×C₁₃	C₂³	semidirect
218. C₁₃×#117	C₂³	semidirect
240. #88194	C₂³	semidirect
241. #88194	C₂³	semidirect
242. #88193	C₂³	semidirect
243. #88193	C₂³	semidirect
244. #88193	C₂³	semidirect
245. #88192	C₂³	semidirect
246. #88192	C₂³	semidirect
247. #88192	C₂³	semidirect
248. #88192	C₂³	semidirect
249. #88192	C₂³	semidirect
250. #88191	C₂³	semidirect
251. #88191	C₂³	semidirect
252. #88191	C₂³	semidirect
253. #88191	C₂³	semidirect
254. #88190	C₂³	semidirect
255. #88189	C₂³	semidirect
256. D₄×Dic₁₃	C₂³	semidirect
257. D₄×Dic₁₃	C₂³	semidirect
258. #88184	C₂³	semidirect
259. #88183	C₂³	semidirect
260. C₄×C₂²⋊D₁₃	C₂³	semidirect
261. C₄×C₂²⋊D₁₃	C₂³	semidirect
262. C₄×C₂²⋊D₁₃	C₂³	semidirect
263. C₄×C₂²⋊D₁₃	C₂³	semidirect
264. C₄×C₂²⋊D₁₃	C₂³	semidirect
280. C₂×#6103	C₂³	semidirect
281. #88180	C₂³	semidirect
302. #88152	C₂³	semidirect
303. #88152	C₂³	semidirect
304. #88151	C₂³	semidirect
305. #88150	C₂³	semidirect
306. #88150	C₂³	semidirect
307. #88150	C₂³	semidirect
308. #88149	C₂³	semidirect
309. #88149	C₂³	semidirect
310. #88149	C₂³	semidirect
311. #88148	C₂³	semidirect
312. #88148	C₂³	semidirect
315. #88147	C₂³	semidirect
316. #88147	C₂³	semidirect
317. #88147	C₂³	semidirect
318. #88146	C₂³	semidirect
319. C₄⋊C₄×D₁₃	C₂³	semidirect
320. C₄⋊C₄×D₁₃	C₂³	semidirect
321. #88144	C₂³	semidirect
322. #88143	C₂³	semidirect
323. #88142	C₂³	semidirect
324. #88139	C₂³	semidirect
325. #88139	C₂³	semidirect
326. #88139	C₂³	semidirect
328. #88138	C₂³	semidirect
329. #88138	C₂³	semidirect
330. #88138	C₂³	semidirect
331. #88138	C₂³	semidirect
332. #88137	C₂³	semidirect
333. #88137	C₂³	semidirect
334. #88136	C₂³	semidirect
335. #88136	C₂³	semidirect
336. #88135	C₂³	semidirect
337. #88135	C₂³	semidirect
338. #88135	C₂³	semidirect
339. C₂²⋊C₄×D₁₃	C₂³	semidirect
340. C₂²⋊C₄×D₁₃	C₂³	semidirect
341. C₂²⋊C₄×D₁₃	C₂³	semidirect
342. C₂²⋊C₄×D₁₃	C₂³	semidirect
343. #88133	C₂³	semidirect
344. #88133	C₂³	semidirect
345. #88131	C₂³	semidirect
348. C₄×D₅₂	C₂³	semidirect
349. C₄×D₅₂	C₂³	semidirect
350. C₄×D₅₂	C₂³	semidirect
351. #88126	C₂³	semidirect
352. C₄²×D₁₃	C₂³	semidirect
353. C₄×Dic₂₆	C₂³	semidirect
445. C₂×D₅₂	#41	semidirect
549. C₂×#540	D₁₃	semidirect
658. D₅₂	C₂×#41	semidirect
694. #540	C₂×D₁₃	semidirect
701. C₂×#127	C₂×D₁₃	semidirect
709. C₂×#125	C₂×D₁₃	semidirect
721. C₂×#123	C₂×D₁₃	semidirect
722. C₂×#123	C₂×D₁₃	semidirect
745. C₂×#121	C₂×D₁₃	semidirect
746. C₂×#121	C₂×D₁₃	semidirect
747. C₂×#121	C₂×D₁₃	semidirect
748. C₂×#121	C₂×D₁₃	semidirect
779. C₂×C₄×D₄	C₂×D₁₃	semidirect
780. C₂×C₄×D₄	C₂×D₁₃	semidirect
785. C₂×#117	C₂×D₁₃	semidirect
909. #127	C₂²×D₁₃	semidirect
916. #125	C₂²×D₁₃	semidirect
927. #123	C₂²×D₁₃	semidirect
928. #123	C₂²×D₁₃	semidirect
950. #121	C₂²×D₁₃	semidirect
951. #121	C₂²×D₁₃	semidirect
952. #121	C₂²×D₁₃	semidirect
953. #121	C₂²×D₁₃	semidirect
981. C₄×D₄	C₂²×D₁₃	semidirect
982. C₄×D₄	C₂²×D₁₃	semidirect
987. #117	C₂²×D₁₃	semidirect
1055. C₂×C₁₃	#3519	semidirect
1243. C₁₃	C₂×#3519	semidirect
1415. C₂	#13128866	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128866	2
C₂×#11719321	2
C₂×#11719395	2
C₂×#11719400	2
C₂×#11719319	2
C₂×#11719366	2
C₂×#11719423	2
C₂×#11719317	2
C₂×#11719359	2
C₂×#11719315	2
C₂×#11719422	2
C₂×#11719314	2
C₂×#11719267	2
C₂×#11719362	2
C₂×#11719318	2
C₂×#11719253	2
C₂×#11719233	2
C₂×#11719361	2
C₂×D₁₃×#121	2
C₂×#11719226	2
C₂×#11719250	2
C₂×C₄×D₄×D₁₃	2
C₂×C₁₃×#540	2
C₂×#3519	13

Subgroups — C2×#13128866 #16770912

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128866 #16770912