Subgroups — C₂×#13128672 #16770840

Order 3328.

8082 conjugacy classes of subgroups.

The subgroup lattice has 1408 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128672	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719323	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719245	C₂	1	2	yes	maximal, complemented
4	C₂×#11719270	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719306	C₂	1	2	yes	maximal, complemented
6	C₂×#11719286	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719344	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719384	C₂	1	2	yes	maximal, complemented
9	C₂×#11719342	C₂	1	2	yes	maximal, complemented
10	C₂×#11719522	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719381	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719534	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719343	C₂	1	2	yes	maximal, complemented
14	C₂×#11719383	C₂	1	2	yes	maximal, complemented
15	C₂×#11719310	C₂	1	2	yes	maximal, complemented
16	C₂×#11719285	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#11719385	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719332	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719533	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#88200	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×D₁₃×#121	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719250	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂³×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#6131	C₂²	1	1	yes	characteristic, complemented
28	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
29	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
30	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
31	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
32	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#548	C₂²	1	16	yes	complemented
34	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
36	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
37	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
40	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
43	#11719534	C₂²	1	16	yes	complemented
44	#11719533	C₂²	1	16	yes	complemented
45	#11719522	C₂²	1	16	yes	complemented
46	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
47	C₂×#88201	C₂²	1	2	yes	complemented
48	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
49	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
50	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
51	C₂×#88200	C₂²	1	2	yes	complemented
52	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88200	C₂²	1	2	yes	complemented
54	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88200	C₂²	1	2	yes	complemented
56	C₂×#88200	C₂²	1	16	yes	complemented
57	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88193	C₂²	1	2	yes	complemented
59	C₂×#88193	C₂²	1	2	yes	complemented
60	C₂×#88193	C₂²	1	2	yes	complemented
61	C₂×#88193	C₂²	1	2	yes	complemented
62	C₂×#88192	C₂²	1	1	yes	characteristic
63	C₂×#88192	C₂²	1	1	yes	characteristic, complemented
64	C₂×#88191	C₂²	1	2	yes	—
65	C₂×#88191	C₂²	1	2	yes	complemented
66	C₂×#88189	C₂²	1	2	yes	complemented
67	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
68	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
69	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
70	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
71	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
72	C₂×#88184	C₂²	1	2	yes	complemented
73	C₂×#88183	C₂²	1	2	yes	complemented
74	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
75	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
77	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
78	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
79	C₂²×#6103	C₂²	1	2	yes	—
80	C₂²×#6103	C₂²	1	2	yes	complemented
81	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
82	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
83	C₂²×#6101	C₂²	1	2	yes	complemented
84	#11719385	C₂²	1	16	yes	complemented
85	#11719384	C₂²	1	32	yes	complemented
86	#11719383	C₂²	1	32	yes	complemented
87	#11719381	C₂²	1	16	yes	complemented
88	#11719344	C₂²	1	16	yes	complemented
89	#11719343	C₂²	1	32	yes	complemented
90	#11719342	C₂²	1	32	yes	complemented
91	#11719332	C₂²	1	16	yes	complemented
92	#11719323	C₂²	1	16	yes	complemented
93	#11719310	C₂²	1	32	yes	complemented
94	D₁₃×#121	C₂²	1	16	yes	complemented
95	#11719306	C₂²	1	32	yes	complemented
96	#11719286	C₂²	1	16	yes	complemented
97	#11719285	C₂²	1	16	yes	complemented
98	#11719270	C₂²	1	16	yes	complemented
99	#11719250	C₂²	1	32	yes	complemented
100	C₄×D₄×D₁₃	C₂²	1	16	yes	complemented
101	#11719245	C₂²	1	32	yes	complemented
102	C₂×#88152	C₂²	1	2	yes	complemented
103	C₂×#88152	C₂²	1	2	yes	complemented
104	C₂×#88149	C₂²	1	1	yes	characteristic
105	C₂×#88148	C₂²	1	2	yes	—
106	C₂×#88148	C₂²	1	2	yes	complemented
107	C₂×#88148	C₂²	1	2	yes	complemented
108	C₂×#88147	C₂²	1	1	yes	characteristic
109	C₂×#88147	C₂²	1	2	yes	complemented
110	C₂×#88146	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	1	yes	characteristic, complemented
114	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
115	C₂×#88143	C₂²	1	2	yes	complemented
116	C₂×#88143	C₂²	1	2	yes	complemented
117	C₂×#88140	C₂²	1	2	yes	complemented
118	C₂×#88138	C₂²	1	2	yes	—
119	C₂×#88138	C₂²	1	2	yes	complemented
120	C₂×#88137	C₂²	1	2	yes	—
121	C₂×#88137	C₂²	1	2	yes	complemented
122	C₂×#88137	C₂²	1	2	yes	complemented
123	C₂×#88137	C₂²	1	2	yes	complemented
124	C₂×#88136	C₂²	1	2	yes	—
125	C₂×#88136	C₂²	1	2	yes	complemented
126	C₂×#88135	C₂²	1	1	yes	characteristic
127	C₂×#88135	C₂²	1	1	yes	characteristic, complemented
128	C₂×#88135	C₂²	1	2	yes	complemented
129	C₂×#88135	C₂²	1	2	yes	complemented
130	C₂×#88135	C₂²	1	2	yes	complemented
131	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
132	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
134	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
135	C₂×#88133	C₂²	1	2	yes	complemented
136	C₂×#88133	C₂²	1	2	yes	complemented
137	C₂×#88133	C₂²	1	2	yes	complemented
138	C₂×#88131	C₂²	1	2	yes	complemented
139	C₂×#88130	C₂²	1	2	yes	complemented
140	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
141	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
142	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
143	C₂×#88126	C₂²	1	2	yes	complemented
144	C₂×#88126	C₂²	1	2	yes	complemented
145	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
146	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
149	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
150	C₂×C₁₃×#41	—	4	4	no	—
151	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
152	C₂²×Q₈×C₁₃	—	4	4	no	—
153	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
154	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
155	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
156	C₂²×Q₈×C₁₃	C₂³	1	8	yes	complemented
157	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
158	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
159	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
160	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
161	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
162	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
163	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
164	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
166	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
168	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
172	C₂³×Dic₁₃	C₂³	1	2	yes	—
173	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
174	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
175	C₂³×Dic₁₃	C₂³	1	2	yes	—
176	C₂×#6131	—	4	4	no	—
177	C₂×#6131	C₂³	1	8	yes	complemented
178	C₂×D₄×D₁₃	—	2	8	no	—
179	C₂×D₄×D₁₃	—	2	16	no	—
180	C₂×D₄×D₁₃	—	4	4	no	—
181	C₂×D₄×D₁₃	C₂³	1	8	yes	—
182	C₂×D₄×D₁₃	C₂³	1	16	yes	—
183	C₂×D₄×D₁₃	C₂³	1	8	yes	complemented
184	C₂²×D₅₂	C₂³	1	1	yes	characteristic
185	C₂²×D₅₂	C₂³	1	2	yes	—
186	C₂²×D₅₂	C₂³	1	1	yes	characteristic
187	C₂²×D₅₂	C₂³	1	2	yes	—
188	C₂²×C₄×D₁₃	—	4	4	no	—
189	C₂²×C₄×D₁₃	—	4	4	no	—
190	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
193	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
200	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₁₃	C₂³	1	8	yes	—
203	C₂²×C₄×D₁₃	C₂³	1	8	yes	complemented
204	C₁₃×#124	C₂³	1	8	yes	complemented
205	C₁₃×#124	C₂³	1	16	yes	complemented
206	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
207	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
208	C₁₃×#121	C₂³	1	16	yes	complemented
209	C₁₃×#121	C₂³	1	8	yes	complemented
210	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
211	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
212	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
213	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
214	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
218	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
219	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
220	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
224	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
225	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
226	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
228	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
229	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
230	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	#88201	C₂³	1	8	yes	complemented
232	#88201	C₂³	1	16	yes	complemented
233	#88200	C₂³	1	8	yes	complemented
234	#88200	C₂³	1	8	yes	complemented
235	#88200	C₂³	1	8	yes	complemented
236	#88200	C₂³	1	16	yes	complemented
237	#88200	C₂³	1	16	yes	complemented
238	#88200	C₂³	1	8	yes	complemented
239	#88200	C₂³	1	8	yes	complemented
240	#88200	C₂³	1	16	yes	complemented
241	Q₈×Dic₁₃	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	#88193	C₂³	1	16	yes	complemented
246	#88192	C₂³	1	8	yes	—
247	#88192	C₂³	1	8	yes	complemented
248	#88191	C₂³	1	16	yes	—
249	#88191	C₂³	1	16	yes	complemented
250	#88189	C₂³	1	16	yes	complemented
251	D₄×Dic₁₃	C₂³	1	8	yes	complemented
252	D₄×Dic₁₃	C₂³	1	16	yes	complemented
253	D₄×Dic₁₃	C₂³	1	8	yes	complemented
254	#88184	C₂³	1	16	yes	complemented
255	#88184	C₂³	1	8	yes	complemented
256	#88184	C₂³	1	8	yes	complemented
257	#88183	C₂³	1	16	yes	complemented
258	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
259	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
260	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
261	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
262	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
263	C₂×#6103	C₂³	1	1	yes	characteristic
264	C₂×#6103	C₂³	1	2	yes	—
265	C₂×#6103	C₂³	1	2	yes	—
266	C₂×#6103	C₂³	1	2	yes	—
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	2	yes	—
269	C₂×#6103	C₂³	1	2	yes	—
270	C₂×#6103	C₂³	1	2	yes	—
271	C₂×#6103	C₂³	1	2	yes	—
272	C₂×#6103	C₂³	1	2	yes	—
273	C₂×#6103	C₂³	1	1	yes	characteristic
274	C₂×#6103	C₂³	1	2	yes	—
275	C₂×#6103	C₂³	1	2	yes	—
276	C₂×#6103	C₂³	1	1	yes	characteristic
277	C₂×#6103	C₂³	1	2	yes	—
278	C₂×#6103	C₂³	1	2	yes	—
279	C₂×#6103	C₂³	1	16	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	2	yes	—
286	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
288	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
289	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	complemented
290	C₂×#6101	C₂³	1	2	yes	—
291	C₂×#6101	C₂³	1	2	yes	—
292	C₂×#6101	C₂³	1	2	yes	—
293	C₂×#6101	C₂³	1	2	yes	—
294	C₂×#6101	C₂³	1	2	yes	—
295	C₂×#6101	C₂³	1	2	yes	—
296	C₂×#6101	C₂³	1	2	yes	—
297	C₂×#6101	C₂³	1	2	yes	—
298	C₂×#6101	C₂³	1	1	yes	characteristic
299	C₂×#6101	C₂³	1	2	yes	—
300	C₂×#6101	C₂³	1	1	yes	characteristic
301	C₂×#6101	C₂³	1	16	yes	complemented
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
306	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
307	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
308	#88152	C₂³	1	16	yes	complemented
309	#88152	C₂³	1	16	yes	complemented
310	#88149	C₂³	1	8	yes	—
311	#88148	C₂³	1	16	yes	—
312	#88148	C₂³	1	16	yes	complemented
313	#88148	C₂³	1	16	yes	complemented
314	#88147	C₂³	1	8	yes	—
315	#88147	C₂³	1	16	yes	complemented
316	#88146	C₂³	1	16	yes	complemented
317	#88146	C₂³	1	8	yes	complemented
318	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
319	C₄⋊C₄×D₁₃	C₂³	1	8	yes	complemented
320	#88144	C₂³	1	8	yes	complemented
321	#88143	C₂³	1	16	yes	complemented
322	#88143	C₂³	1	16	yes	complemented
323	#88140	C₂³	1	16	yes	complemented
324	#88138	C₂³	1	16	yes	—
325	#88138	C₂³	1	16	yes	complemented
326	#88137	C₂³	1	16	yes	—
327	#88137	C₂³	1	16	yes	complemented
328	#88137	C₂³	1	16	yes	complemented
329	#88137	C₂³	1	16	yes	complemented
330	#88136	C₂³	1	16	yes	—
331	#88136	C₂³	1	16	yes	complemented
332	#88135	C₂³	1	8	yes	—
333	#88135	C₂³	1	8	yes	complemented
334	#88135	C₂³	1	16	yes	complemented
335	#88135	C₂³	1	16	yes	complemented
336	#88135	C₂³	1	16	yes	complemented
337	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	—
338	C₂²⋊C₄×D₁₃	C₂³	1	8	yes	complemented
339	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
340	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
341	#88133	C₂³	1	16	yes	complemented
342	#88133	C₂³	1	16	yes	complemented
343	#88133	C₂³	1	16	yes	complemented
344	#88131	C₂³	1	16	yes	complemented
345	#88130	C₂³	1	16	yes	complemented
346	C₄×D₅₂	C₂³	1	8	yes	—
347	C₄×D₅₂	C₂³	1	16	yes	complemented
348	C₄×D₅₂	C₂³	1	8	yes	complemented
349	#88126	C₂³	1	16	yes	complemented
350	#88126	C₂³	1	16	yes	complemented
351	C₄²×D₁₃	C₂³	1	8	yes	complemented
352	#88124	C₂³	1	8	yes	complemented
353	C₂×#3505	—	13	1	no	maximal, Sylow
354	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
356	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂³×D₁₃	—	2	4	no	—
358	C₂³×D₁₃	—	2	8	no	—
359	C₂³×D₁₃	—	4	2	no	—
360	C₂³×D₁₃	—	4	2	no	—
361	C₂³×D₁₃	—	4	2	no	—
362	C₂³×D₁₃	—	4	2	no	—
363	C₂³×D₁₃	—	4	4	no	—
364	C₂³×D₁₃	—	4	4	no	—
365	C₂³×D₁₃	#41	1	8	yes	complemented
366	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
367	C₂³×D₁₃	C₂⁴	1	2	yes	—
368	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
369	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
370	C₂³×D₁₃	C₂⁴	1	8	yes	—
371	C₂³×D₁₃	C₂⁴	1	4	yes	—
372	C₂³×D₁₃	C₂⁴	1	4	yes	—
373	C₁₃×#41	—	4	16	no	—
374	C₂×Q₈×C₁₃	—	2	4	no	—
375	C₂×Q₈×C₁₃	—	2	4	no	—
376	C₂×Q₈×C₁₃	—	4	4	no	—
377	C₂×Q₈×C₁₃	—	4	16	no	—
378	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
379	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
380	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
381	C₂×D₄×C₁₃	—	2	4	no	—
382	C₂×D₄×C₁₃	—	2	8	no	—
383	C₂×D₄×C₁₃	—	2	4	no	—
384	C₂×D₄×C₁₃	—	4	4	no	—
385	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
386	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
387	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
388	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
389	C₂²×C₄×C₁₃	—	2	4	no	—
390	C₂²×C₄×C₁₃	—	2	4	no	—
391	C₂²×C₄×C₁₃	—	4	4	no	—
392	C₂²×C₄×C₁₃	—	4	4	no	—
393	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
396	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
401	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
402	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
403	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂×C₂²⋊D₁₃	—	2	4	no	—
406	C₂×C₂²⋊D₁₃	—	2	8	no	—
407	C₂×C₂²⋊D₁₃	—	2	4	no	—
408	C₂×C₂²⋊D₁₃	—	2	8	no	—
409	C₂×C₂²⋊D₁₃	—	4	4	no	—
410	C₂×C₂²⋊D₁₃	—	4	4	no	—
411	C₂×C₂²⋊D₁₃	—	4	4	no	—
412	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
413	C₂×C₂²⋊D₁₃	C₂⁴	1	8	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	C₂²×Dic₁₃	—	4	2	no	—
420	C₂²×Dic₁₃	—	4	2	no	—
421	C₂²×Dic₁₃	—	4	4	no	—
422	C₂²×Dic₁₃	—	4	4	no	—
423	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
426	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
429	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
430	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
432	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
433	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
434	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
435	#6131	—	4	16	no	—
436	D₄×D₁₃	—	2	32	no	—
437	D₄×D₁₃	—	2	64	no	—
438	D₄×D₁₃	—	4	16	no	—
439	C₂×D₅₂	—	2	4	no	—
440	C₂×D₅₂	—	2	8	no	—
441	C₂×D₅₂	—	2	4	no	—
442	C₂×D₅₂	—	4	4	no	—
443	C₂×D₅₂	C₂⁴	1	4	yes	—
444	C₂×D₅₂	C₂⁴	1	8	yes	—
445	C₂×D₅₂	C₂⁴	1	4	yes	—
446	C₂×D₅₂	C₂⁴	1	8	yes	—
447	C₂×C₄×D₁₃	—	2	8	no	—
448	C₂×C₄×D₁₃	—	2	4	no	—
449	C₂×C₄×D₁₃	—	2	4	no	—
450	C₂×C₄×D₁₃	—	2	4	no	—
451	C₂×C₄×D₁₃	—	2	4	no	—
452	C₂×C₄×D₁₃	—	4	16	no	—
453	C₂×C₄×D₁₃	—	4	16	no	—
454	C₂×C₄×D₁₃	—	4	2	no	—
455	C₂×C₄×D₁₃	—	4	2	no	—
456	C₂×C₄×D₁₃	—	4	2	no	—
457	C₂×C₄×D₁₃	—	4	2	no	—
458	C₂×C₄×D₁₃	—	4	2	no	—
459	C₂×C₄×D₁₃	—	4	4	no	—
460	C₂×C₄×D₁₃	—	4	4	no	—
461	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
462	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
463	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
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	8	yes	—
468	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
469	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
470	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
471	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
472	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
473	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
474	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
475	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
476	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
477	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
478	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
479	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
480	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
481	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
482	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
483	C₄²×C₁₃	C₂⁴	1	4	yes	—
484	C₄²×C₁₃	C₂⁴	1	8	yes	—
485	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
486	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
487	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
488	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
489	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
490	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
491	#6103	C₂⁴	1	4	yes	—
492	#6103	C₂⁴	1	8	yes	—
493	#6103	C₂⁴	1	8	yes	—
494	#6103	C₂⁴	1	8	yes	—
495	#6103	C₂⁴	1	4	yes	—
496	#6103	C₂⁴	1	8	yes	—
497	#6103	C₂⁴	1	8	yes	—
498	#6103	C₂⁴	1	8	yes	—
499	#6103	C₂⁴	1	8	yes	—
500	#6103	C₂⁴	1	8	yes	—
501	#6103	C₂⁴	1	4	yes	—
502	#6103	C₂⁴	1	8	yes	—
503	#6103	C₂⁴	1	8	yes	—
504	#6103	C₂⁴	1	4	yes	—
505	#6103	C₂⁴	1	8	yes	—
506	#6103	C₂⁴	1	8	yes	—
507	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
508	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
509	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
510	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
511	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
512	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
513	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
514	#6101	C₂⁴	1	8	yes	—
515	#6101	C₂⁴	1	8	yes	—
516	#6101	C₂⁴	1	8	yes	—
517	#6101	C₂⁴	1	8	yes	—
518	#6101	C₂⁴	1	8	yes	—
519	#6101	C₂⁴	1	8	yes	—
520	#6101	C₂⁴	1	8	yes	—
521	#6101	C₂⁴	1	8	yes	—
522	#6101	C₂⁴	1	4	yes	—
523	#6101	C₂⁴	1	8	yes	—
524	#6101	C₂⁴	1	4	yes	—
525	C₄×Dic₁₃	C₂⁴	1	4	yes	—
526	C₄×Dic₁₃	C₂⁴	1	4	yes	—
527	C₄×Dic₁₃	C₂⁴	1	4	yes	—
528	C₄×Dic₁₃	C₂⁴	1	8	yes	—
529	C₄×Dic₁₃	C₂⁴	1	8	yes	—
530	C₄×Dic₁₃	C₂⁴	1	8	yes	—
531	#3505	—	13	32	no	—
532	C₂×#553	—	13	2	no	—
533	C₂×#553	—	13	1	no	—
534	C₂×#553	—	13	1	no	—
535	C₂×#553	—	13	2	no	—
536	C₂×#552	—	13	1	no	—
537	C₂×#552	—	13	1	no	—
538	C₂×#551	—	13	2	no	—
539	C₂×#551	—	13	2	no	—
540	C₂×#548	—	13	1	no	—
541	C₂×#548	D₁₃	1	1	yes	characteristic, complemented
542	C₂×#546	—	13	1	no	—
543	C₂×#546	—	13	1	no	—
544	C₂×#539	—	13	2	no	—
545	C₂×#538	—	13	2	no	—
546	C₂×#534	—	13	2	no	—
547	C₂×#529	—	13	1	no	—
548	C₂×#529	—	13	1	no	—
549	C₂×#525	—	13	1	no	—
550	C₂×#525	—	13	1	no	—
551	C₂²×C₂²⋊Q₈	—	13	1	no	—
552	C₂²×#121	—	13	1	no	—
553	C₂×#518	—	13	2	no	—
554	C₂²×C₄×D₄	—	13	1	no	—
555	C₂³×C₁₃	—	2	2	no	—
556	C₂³×C₁₃	—	2	2	no	—
557	C₂³×C₁₃	—	2	2	no	—
558	C₂³×C₁₃	—	2	4	no	—
559	C₂³×C₁₃	—	2	2	no	—
560	C₂³×C₁₃	—	2	4	no	—
561	C₂³×C₁₃	—	2	4	no	—
562	C₂³×C₁₃	—	2	2	no	—
563	C₂³×C₁₃	C₂×#41	1	4	yes	—
564	C₂³×C₁₃	C₂⁵	1	2	yes	—
565	C₂³×C₁₃	C₂⁵	1	4	yes	—
566	C₂³×C₁₃	C₂⁵	1	2	yes	—
567	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
568	C₂²×D₁₃	—	2	2	no	—
569	C₂²×D₁₃	—	2	2	no	—
570	C₂²×D₁₃	—	2	2	no	—
571	C₂²×D₁₃	—	2	2	no	—
572	C₂²×D₁₃	—	2	2	no	—
573	C₂²×D₁₃	—	2	4	no	—
574	C₂²×D₁₃	—	2	2	no	—
575	C₂²×D₁₃	—	2	4	no	—
576	C₂²×D₁₃	—	2	4	no	—
577	C₂²×D₁₃	—	2	2	no	—
578	C₂²×D₁₃	—	2	8	no	—
579	C₂²×D₁₃	—	2	16	no	—
580	C₂²×D₁₃	—	4	4	no	—
581	C₂²×D₁₃	—	4	4	no	—
582	C₂²×D₁₃	—	4	16	no	—
583	C₂²×D₁₃	—	4	4	no	—
584	C₂²×D₁₃	—	4	4	no	—
585	C₂²×D₁₃	—	4	8	no	—
586	C₂²×D₁₃	—	4	8	no	—
587	C₂²×D₁₃	—	4	16	no	—
588	C₂²×D₁₃	—	8	16	no	—
589	C₂²×D₁₃	C₂×#41	1	4	yes	—
590	C₂²×D₁₃	C₂×#41	1	4	yes	—
591	C₂²×D₁₃	C₂×#41	1	16	yes	complemented
592	C₂²×D₁₃	C₂⁵	1	2	yes	—
593	C₂²×D₁₃	C₂⁵	1	4	yes	—
594	C₂²×D₁₃	C₂⁵	1	2	yes	—
595	C₂²×D₁₃	C₂⁵	1	2	yes	—
596	Q₈×C₁₃	—	2	8	no	—
597	Q₈×C₁₃	—	2	8	no	—
598	Q₈×C₁₃	—	4	8	no	—
599	D₄×C₁₃	—	2	8	no	—
600	D₄×C₁₃	—	2	16	no	—
601	D₄×C₁₃	—	2	8	no	—
602	D₄×C₁₃	—	4	8	no	—
603	C₂×C₄×C₁₃	—	2	4	no	—
604	C₂×C₄×C₁₃	—	2	2	no	—
605	C₂×C₄×C₁₃	—	2	2	no	—
606	C₂×C₄×C₁₃	—	2	2	no	—
607	C₂×C₄×C₁₃	—	2	4	no	—
608	C₂×C₄×C₁₃	—	2	4	no	—
609	C₂×C₄×C₁₃	—	2	2	no	—
610	C₂×C₄×C₁₃	—	2	8	no	—
611	C₂×C₄×C₁₃	—	2	8	no	—
612	C₂×C₄×C₁₃	—	4	8	no	—
613	C₂×C₄×C₁₃	—	4	8	no	—
614	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
615	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
616	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
617	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
618	C₂×C₄×C₁₃	C₂⁵	1	4	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	2	yes	—
623	C₂²⋊D₁₃	—	2	8	no	—
624	C₂²⋊D₁₃	—	2	16	no	—
625	C₂²⋊D₁₃	—	2	8	no	—
626	C₂²⋊D₁₃	—	2	16	no	—
627	C₂²⋊D₁₃	—	4	8	no	—
628	C₂²⋊D₁₃	—	4	8	no	—
629	C₂²⋊D₁₃	—	4	8	no	—
630	C₂×Dic₁₃	—	2	4	no	—
631	C₂×Dic₁₃	—	2	2	no	—
632	C₂×Dic₁₃	—	2	2	no	—
633	C₂×Dic₁₃	—	2	2	no	—
634	C₂×Dic₁₃	—	2	2	no	—
635	C₂×Dic₁₃	—	2	2	no	—
636	C₂×Dic₁₃	—	2	4	no	—
637	C₂×Dic₁₃	—	2	4	no	—
638	C₂×Dic₁₃	—	4	4	no	—
639	C₂×Dic₁₃	—	4	4	no	—
640	C₂×Dic₁₃	—	4	8	no	—
641	C₂×Dic₁₃	—	4	8	no	—
642	C₂×Dic₁₃	C₂⁵	1	2	yes	—
643	C₂×Dic₁₃	C₂⁵	1	2	yes	—
644	C₂×Dic₁₃	C₂⁵	1	4	yes	—
645	C₂×Dic₁₃	C₂⁵	1	2	yes	—
646	C₂×Dic₁₃	C₂⁵	1	2	yes	—
647	C₂×Dic₁₃	C₂⁵	1	4	yes	—
648	C₂×Dic₁₃	C₂⁵	1	4	yes	—
649	C₂×Dic₁₃	C₂⁵	1	2	yes	—
650	D₅₂	—	2	8	no	—
651	D₅₂	—	2	16	no	—
652	D₅₂	—	2	8	no	—
653	D₅₂	—	4	8	no	—
654	C₄×D₁₃	—	2	16	no	—
655	C₄×D₁₃	—	2	8	no	—
656	C₄×D₁₃	—	2	8	no	—
657	C₄×D₁₃	—	2	8	no	—
658	C₄×D₁₃	—	2	8	no	—
659	C₄×D₁₃	—	4	4	no	—
660	C₄×D₁₃	—	4	4	no	—
661	C₄×D₁₃	—	4	4	no	—
662	C₄×D₁₃	—	4	4	no	—
663	C₄×D₁₃	—	4	4	no	—
664	C₄×D₁₃	—	4	8	no	—
665	C₄×D₁₃	—	4	8	no	—
666	C₂²×#41	—	13	1	no	—
667	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
668	C₂³×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
669	C₂³×D₄	—	13	1	no	—
670	C₂³×D₄	—	13	2	no	—
671	C₂³×D₄	—	13	1	no	—
672	C₂⁴×C₄	—	13	1	no	—
673	C₂⁴×C₄	—	13	1	no	—
674	#553	—	13	32	no	—
675	#553	—	13	16	no	—
676	#553	—	13	32	no	—
677	#553	—	13	16	no	—
678	#552	—	13	16	no	—
679	#552	—	13	16	no	—
680	#551	—	13	32	no	—
681	#551	—	13	32	no	—
682	#548	—	13	16	no	—
683	#548	C₂×D₁₃	1	16	yes	complemented
684	#546	—	13	16	no	—
685	#546	—	13	16	no	—
686	#539	—	13	32	no	—
687	#538	—	13	32	no	—
688	#534	—	13	32	no	—
689	#529	—	13	16	no	—
690	#529	—	13	16	no	—
691	C₂×#126	—	13	2	no	—
692	C₂×#126	—	13	2	no	—
693	C₂×#126	—	13	2	no	—
694	C₂×#126	—	13	2	no	—
695	C₂×#126	—	13	2	no	—
696	C₂×#126	—	13	2	no	—
697	C₂×#125	—	13	2	no	—
698	C₂×#125	—	13	2	no	—
699	C₂×#125	—	13	1	no	—
700	C₂×#125	—	13	1	no	—
701	C₂×#124	—	13	1	no	—
702	C₂×#124	—	13	2	no	—
703	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
704	C₂×#124	C₂×D₁₃	1	2	yes	complemented
705	#525	—	13	16	no	—
706	#525	—	13	16	no	—
707	C₂×#123	—	13	2	no	—
708	C₂×#123	—	13	2	no	—
709	C₂×#123	—	13	2	no	—
710	C₂×#123	—	13	2	no	—
711	C₂×#123	—	13	2	no	—
712	C₂×#123	—	13	2	no	—
713	C₂×#123	—	13	2	no	—
714	C₂×#123	—	13	2	no	—
715	C₂×#123	—	13	2	no	—
716	C₂×#123	—	13	2	no	—
717	C₂×C₂²⋊Q₈	—	13	1	no	—
718	C₂×C₂²⋊Q₈	—	13	1	no	—
719	C₂×C₂²⋊Q₈	—	13	2	no	—
720	C₂×C₂²⋊Q₈	—	13	1	no	—
721	C₂×C₂²⋊Q₈	—	13	1	no	—
722	C₂×C₂²⋊Q₈	—	13	2	no	—
723	C₂×C₂²⋊Q₈	—	13	1	no	—
724	C₂×C₂²⋊Q₈	—	13	2	no	—
725	C₂×C₂²⋊Q₈	—	13	16	no	—
726	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
727	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
728	C₂×#121	—	13	1	no	—
729	C₂×#121	—	13	1	no	—
730	C₂×#121	—	13	2	no	—
731	C₂×#121	—	13	2	no	—
732	C₂×#121	—	13	2	no	—
733	C₂×#121	—	13	2	no	—
734	C₂×#121	—	13	1	no	—
735	C₂×#121	—	13	1	no	—
736	C₂×#121	—	13	2	no	—
737	C₂×#121	—	13	16	no	—
738	C₂×#121	—	13	1	no	—
739	C₂×#121	—	13	2	no	—
740	C₂×#121	—	13	2	no	—
741	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
742	C₂×#121	C₂×D₁₃	1	2	yes	complemented
743	C₂×#120	—	13	2	no	—
744	C₂×#120	—	13	2	no	—
745	C₂×#120	—	13	2	no	—
746	C₂×#120	—	13	2	no	—
747	#518	—	13	32	no	—
748	C₂×C₄×Q₈	—	13	1	no	—
749	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
750	C₂×C₄×D₄	—	13	1	no	—
751	C₂×C₄×D₄	—	13	2	no	—
752	C₂×C₄×D₄	—	13	1	no	—
753	C₂×C₄×D₄	—	13	1	no	—
754	C₂×C₄×D₄	—	13	1	no	—
755	C₂×C₄×D₄	—	13	2	no	—
756	C₂×C₄×D₄	—	13	2	no	—
757	C₂×C₄×D₄	—	13	2	no	—
758	C₂×C₄×D₄	—	13	16	no	—
759	C₂×C₄×D₄	—	13	1	no	—
760	C₂×C₄×D₄	—	13	2	no	—
761	C₂×C₄×D₄	—	13	1	no	—
762	C₂×C₄×D₄	—	13	1	no	—
763	C₂×C₄×D₄	—	13	2	no	—
764	C₂×C₄×D₄	—	13	2	no	—
765	C₂×C₄×D₄	—	13	2	no	—
766	C₂×C₄×D₄	—	13	1	no	—
767	C₂×C₄×D₄	—	13	2	no	—
768	C₂×C₄×D₄	—	13	1	no	—
769	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
770	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
771	C₂×#117	—	13	1	no	—
772	C₂×#117	—	13	2	no	—
773	C₂×#117	—	13	1	no	—
774	C₂×#117	—	13	2	no	—
775	C₂×#117	—	13	2	no	—
776	C₂×#117	—	13	2	no	—
777	C₂²×C₄⋊C₄	—	13	2	no	—
778	C₂²×C₄⋊C₄	—	13	1	no	—
779	C₂²×C₄⋊C₄	—	13	1	no	—
780	C₂²×C₄⋊C₄	—	13	1	no	—
781	C₂²×C₂²⋊C₄	—	13	2	no	—
782	C₂²×C₂²⋊C₄	—	13	2	no	—
783	C₂²×C₂²⋊C₄	—	13	1	no	—
784	C₂²×C₂²⋊C₄	—	13	1	no	—
785	C₂²×C₂²⋊C₄	—	13	2	no	—
786	C₂²×C₂²⋊C₄	—	13	2	no	—
787	C₂²×C₄²	—	13	1	no	—
788	C₂²×C₁₃	—	2	2	no	—
789	C₂²×C₁₃	—	2	2	no	—
790	C₂²×C₁₃	—	2	8	no	—
791	C₂²×C₁₃	—	2	2	no	—
792	C₂²×C₁₃	—	2	4	no	—
793	C₂²×C₁₃	—	2	2	no	—
794	C₂²×C₁₃	—	2	4	no	—
795	C₂²×C₁₃	—	2	4	no	—
796	C₂²×C₁₃	—	2	2	no	—
797	C₂²×C₁₃	—	4	4	no	—
798	C₂²×C₁₃	—	4	8	no	—
799	C₂²×C₁₃	C₂²×#41	1	4	yes	—
800	C₂²×C₁₃	C₂²×#41	1	2	yes	—
801	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
802	C₂²×C₁₃	#585	1	2	yes	—
803	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
804	C₂×D₁₃	—	2	2	no	—
805	C₂×D₁₃	—	2	2	no	—
806	C₂×D₁₃	—	2	2	no	—
807	C₂×D₁₃	—	2	2	no	—
808	C₂×D₁₃	—	2	8	no	—
809	C₂×D₁₃	—	2	8	no	—
810	C₂×D₁₃	—	2	2	no	—
811	C₂×D₁₃	—	2	4	no	—
812	C₂×D₁₃	—	2	2	no	—
813	C₂×D₁₃	—	2	4	no	—
814	C₂×D₁₃	—	2	4	no	—
815	C₂×D₁₃	—	2	2	no	—
816	C₂×D₁₃	—	4	16	no	—
817	C₂×D₁₃	—	4	16	no	—
818	C₂×D₁₃	—	4	4	no	—
819	C₂×D₁₃	—	4	8	no	—
820	C₂×D₁₃	—	8	16	no	—
821	C₂×D₁₃	C₂²×#41	1	4	yes	—
822	C₂×D₁₃	C₂²×#41	1	4	yes	—
823	C₄×C₁₃	—	2	4	no	—
824	C₄×C₁₃	—	2	2	no	—
825	C₄×C₁₃	—	2	2	no	—
826	C₄×C₁₃	—	2	2	no	—
827	C₄×C₁₃	—	2	4	no	—
828	C₄×C₁₃	—	2	4	no	—
829	C₄×C₁₃	—	2	2	no	—
830	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
831	Dic₁₃	—	2	4	no	—
832	Dic₁₃	—	2	2	no	—
833	Dic₁₃	—	2	2	no	—
834	Dic₁₃	—	2	2	no	—
835	Dic₁₃	—	2	2	no	—
836	Dic₁₃	—	2	2	no	—
837	Dic₁₃	—	2	4	no	—
838	Dic₁₃	—	2	4	no	—
839	C₂⁵	—	13	1	no	—
840	C₂⁵	—	13	2	no	—
841	C₂⁵	—	13	1	no	—
842	C₂×#41	—	4	4	no	—
843	C₂×#41	—	13	8	no	—
844	C₂×#41	—	52	4	no	—
845	C₂×#41	C₂²×D₁₃	1	8	yes	complemented
846	C₂²×Q₈	—	4	4	no	—
847	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
848	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
849	C₂²×Q₈	C₂²×D₁₃	1	2	yes	—
850	C₂²×Q₈	C₂²×D₁₃	1	8	yes	complemented
851	C₂²×D₄	—	13	1	no	—
852	C₂²×D₄	—	13	2	no	—
853	C₂²×D₄	—	13	1	no	—
854	C₂²×D₄	—	13	2	no	—
855	C₂²×D₄	—	13	2	no	—
856	C₂²×D₄	—	13	2	no	—
857	C₂²×D₄	—	13	2	no	—
858	C₂²×D₄	—	13	8	no	—
859	C₂²×D₄	—	13	16	no	—
860	C₂²×D₄	—	13	8	no	—
861	C₂²×D₄	—	13	1	no	—
862	C₂²×D₄	—	13	2	no	—
863	C₂²×D₄	—	13	1	no	—
864	C₂²×D₄	—	13	2	no	—
865	C₂²×D₄	—	26	8	no	—
866	C₂²×D₄	—	26	16	no	—
867	C₂²×D₄	—	52	4	no	—
868	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
869	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
870	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
871	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
872	C₂³×C₄	—	13	2	no	—
873	C₂³×C₄	—	13	2	no	—
874	C₂³×C₄	—	13	1	no	—
875	C₂³×C₄	—	13	1	no	—
876	C₂³×C₄	—	13	2	no	—
877	C₂³×C₄	—	13	1	no	—
878	C₂³×C₄	—	13	1	no	—
879	C₂³×C₄	—	13	1	no	—
880	C₂³×C₄	—	13	1	no	—
881	C₂³×C₄	—	13	1	no	—
882	C₂³×C₄	—	13	1	no	—
883	C₂³×C₄	—	13	1	no	—
884	C₂³×C₄	—	13	1	no	—
885	C₂³×C₄	—	13	2	no	—
886	C₂³×C₄	—	13	2	no	—
887	C₂³×C₄	—	13	1	no	—
888	C₂³×C₄	—	13	8	no	—
889	C₂³×C₄	—	13	8	no	—
890	C₂³×C₄	—	52	4	no	—
891	C₂³×C₄	—	52	4	no	—
892	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
893	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
894	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
895	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
896	#126	—	13	16	no	—
897	#126	—	13	16	no	—
898	#126	—	13	16	no	—
899	#126	—	13	16	no	—
900	#126	—	13	16	no	—
901	#126	—	13	16	no	—
902	#125	—	13	8	no	—
903	#125	—	13	16	no	—
904	#125	—	13	16	no	—
905	#125	—	13	8	no	—
906	#124	—	13	8	no	—
907	#124	—	13	16	no	—
908	#124	C₂²×D₁₃	1	8	yes	complemented
909	#124	C₂²×D₁₃	1	16	yes	complemented
910	#123	—	13	16	no	—
911	#123	—	13	16	no	—
912	#123	—	13	16	no	—
913	#123	—	13	16	no	—
914	#123	—	13	16	no	—
915	#123	—	13	16	no	—
916	#123	—	13	16	no	—
917	#123	—	13	16	no	—
918	#123	—	13	16	no	—
919	#123	—	13	16	no	—
920	C₂²⋊Q₈	—	13	8	no	—
921	C₂²⋊Q₈	—	13	8	no	—
922	C₂²⋊Q₈	—	13	16	no	—
923	C₂²⋊Q₈	—	13	8	no	—
924	C₂²⋊Q₈	—	13	8	no	—
925	C₂²⋊Q₈	—	13	16	no	—
926	C₂²⋊Q₈	—	13	8	no	—
927	C₂²⋊Q₈	—	13	16	no	—
928	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
929	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
930	#121	—	13	8	no	—
931	#121	—	13	16	no	—
932	#121	—	13	8	no	—
933	#121	—	13	16	no	—
934	#121	—	13	16	no	—
935	#121	—	13	16	no	—
936	#121	—	13	8	no	—
937	#121	—	13	8	no	—
938	#121	—	13	16	no	—
939	#121	—	13	8	no	—
940	#121	—	13	16	no	—
941	#121	—	13	16	no	—
942	#121	C₂²×D₁₃	1	8	yes	complemented
943	#121	C₂²×D₁₃	1	16	yes	complemented
944	#120	—	13	16	no	—
945	#120	—	13	16	no	—
946	#120	—	13	16	no	—
947	#120	—	13	16	no	—
948	C₄×Q₈	—	13	8	no	—
949	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
950	C₄×D₄	—	13	8	no	—
951	C₄×D₄	—	13	16	no	—
952	C₄×D₄	—	13	8	no	—
953	C₄×D₄	—	13	8	no	—
954	C₄×D₄	—	13	8	no	—
955	C₄×D₄	—	13	16	no	—
956	C₄×D₄	—	13	16	no	—
957	C₄×D₄	—	13	16	no	—
958	C₄×D₄	—	13	8	no	—
959	C₄×D₄	—	13	16	no	—
960	C₄×D₄	—	13	8	no	—
961	C₄×D₄	—	13	8	no	—
962	C₄×D₄	—	13	16	no	—
963	C₄×D₄	—	13	16	no	—
964	C₄×D₄	—	13	16	no	—
965	C₄×D₄	—	13	8	no	—
966	C₄×D₄	—	13	16	no	—
967	C₄×D₄	—	13	8	no	—
968	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
969	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
970	#117	—	13	8	no	—
971	#117	—	13	16	no	—
972	#117	—	13	8	no	—
973	#117	—	13	16	no	—
974	#117	—	13	16	no	—
975	#117	—	13	16	no	—
976	C₂×C₄⋊C₄	—	13	1	no	—
977	C₂×C₄⋊C₄	—	13	1	no	—
978	C₂×C₄⋊C₄	—	13	2	no	—
979	C₂×C₄⋊C₄	—	13	2	no	—
980	C₂×C₄⋊C₄	—	13	1	no	—
981	C₂×C₄⋊C₄	—	13	1	no	—
982	C₂×C₄⋊C₄	—	13	1	no	—
983	C₂×C₄⋊C₄	—	13	1	no	—
984	C₂×C₄⋊C₄	—	13	2	no	—
985	C₂×C₄⋊C₄	—	13	2	no	—
986	C₂×C₄⋊C₄	—	13	2	no	—
987	C₂×C₄⋊C₄	—	13	2	no	—
988	C₂×C₄⋊C₄	—	13	16	no	—
989	C₂×C₄⋊C₄	—	13	8	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	2	no	—
994	C₂×C₄⋊C₄	—	13	2	no	—
995	C₂×C₄⋊C₄	—	13	2	no	—
996	C₂×C₄⋊C₄	—	13	8	no	—
997	C₂×C₄⋊C₄	—	13	8	no	—
998	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
999	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1000	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
1001	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
1002	C₂×C₂²⋊C₄	—	13	2	no	—
1003	C₂×C₂²⋊C₄	—	13	1	no	—
1004	C₂×C₂²⋊C₄	—	13	1	no	—
1005	C₂×C₂²⋊C₄	—	13	2	no	—
1006	C₂×C₂²⋊C₄	—	13	2	no	—
1007	C₂×C₂²⋊C₄	—	13	2	no	—
1008	C₂×C₂²⋊C₄	—	13	1	no	—
1009	C₂×C₂²⋊C₄	—	13	1	no	—
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	2	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	16	no	—
1020	C₂×C₂²⋊C₄	—	13	16	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	8	no	—
1027	C₂×C₂²⋊C₄	—	13	8	no	—
1028	C₂×C₂²⋊C₄	—	13	16	no	—
1029	C₂×C₂²⋊C₄	—	13	16	no	—
1030	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1031	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1032	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1033	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1034	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1035	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1036	C₂×C₄²	—	13	2	no	—
1037	C₂×C₄²	—	13	2	no	—
1038	C₂×C₄²	—	13	2	no	—
1039	C₂×C₄²	—	13	1	no	—
1040	C₂×C₄²	—	13	1	no	—
1041	C₂×C₄²	—	13	1	no	—
1042	C₂×C₄²	—	13	8	no	—
1043	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
1044	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1045	C₂×C₁₃	—	2	4	no	—
1046	C₂×C₁₃	—	4	2	no	—
1047	C₂×C₁₃	—	4	4	no	—
1048	C₂×C₁₃	#3505	1	4	yes	complemented
1049	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
1050	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1051	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1052	D₁₃	—	2	4	no	—
1053	D₁₃	—	2	4	no	—
1054	D₁₃	—	4	2	no	—
1055	D₁₃	—	4	4	no	—
1056	C₂⁴	—	13	1	no	—
1057	C₂⁴	—	13	1	no	—
1058	C₂⁴	—	13	8	no	—
1059	C₂⁴	—	13	4	no	—
1060	C₂⁴	—	13	1	no	—
1061	C₂⁴	—	13	2	no	—
1062	C₂⁴	—	13	8	no	—
1063	C₂⁴	—	13	4	no	—
1064	C₂⁴	—	26	4	no	—
1065	C₂⁴	—	26	8	no	—
1066	C₂⁴	—	52	2	no	—
1067	C₂⁴	—	52	2	no	—
1068	C₂⁴	—	52	2	no	—
1069	C₂⁴	—	52	2	no	—
1070	C₂⁴	—	52	4	no	—
1071	C₂⁴	—	52	4	no	—
1072	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1073	C₂⁴	C₂³×D₁₃	1	2	yes	—
1074	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1075	#41	—	4	16	no	—
1076	#41	—	52	16	no	—
1077	C₂×Q₈	—	2	4	no	—
1078	C₂×Q₈	—	2	4	no	—
1079	C₂×Q₈	—	4	4	no	—
1080	C₂×Q₈	—	4	16	no	—
1081	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1082	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1083	C₂×Q₈	C₂³×D₁₃	1	8	yes	—
1084	C₂×D₄	—	2	4	no	—
1085	C₂×D₄	—	2	8	no	—
1086	C₂×D₄	—	2	4	no	—
1087	C₂×D₄	—	4	4	no	—
1088	C₂×D₄	—	13	4	no	—
1089	C₂×D₄	—	13	8	no	—
1090	C₂×D₄	—	13	4	no	—
1091	C₂×D₄	—	13	8	no	—
1092	C₂×D₄	—	13	8	no	—
1093	C₂×D₄	—	13	8	no	—
1094	C₂×D₄	—	13	8	no	—
1095	C₂×D₄	—	13	4	no	—
1096	C₂×D₄	—	13	8	no	—
1097	C₂×D₄	—	13	4	no	—
1098	C₂×D₄	—	13	8	no	—
1099	C₂×D₄	—	26	4	no	—
1100	C₂×D₄	—	26	8	no	—
1101	C₂×D₄	—	26	32	no	—
1102	C₂×D₄	—	26	64	no	—
1103	C₂×D₄	—	26	4	no	—
1104	C₂×D₄	—	26	8	no	—
1105	C₂×D₄	—	26	4	no	—
1106	C₂×D₄	—	26	8	no	—
1107	C₂×D₄	—	26	4	no	—
1108	C₂×D₄	—	52	4	no	—
1109	C₂×D₄	—	52	16	no	—
1110	C₂×D₄	—	52	4	no	—
1111	C₂×D₄	—	52	4	no	—
1112	C₂×D₄	—	52	4	no	—
1113	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1114	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1115	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1116	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1117	C₂²×C₄	—	2	4	no	—
1118	C₂²×C₄	—	2	4	no	—
1119	C₂²×C₄	—	4	4	no	—
1120	C₂²×C₄	—	4	4	no	—
1121	C₂²×C₄	—	13	1	no	—
1122	C₂²×C₄	—	13	2	no	—
1123	C₂²×C₄	—	13	1	no	—
1124	C₂²×C₄	—	13	1	no	—
1125	C₂²×C₄	—	13	1	no	—
1126	C₂²×C₄	—	13	2	no	—
1127	C₂²×C₄	—	13	2	no	—
1128	C₂²×C₄	—	13	1	no	—
1129	C₂²×C₄	—	13	8	no	—
1130	C₂²×C₄	—	13	8	no	—
1131	C₂²×C₄	—	13	4	no	—
1132	C₂²×C₄	—	13	4	no	—
1133	C₂²×C₄	—	13	4	no	—
1134	C₂²×C₄	—	13	4	no	—
1135	C₂²×C₄	—	13	8	no	—
1136	C₂²×C₄	—	13	4	no	—
1137	C₂²×C₄	—	13	4	no	—
1138	C₂²×C₄	—	13	4	no	—
1139	C₂²×C₄	—	13	4	no	—
1140	C₂²×C₄	—	13	4	no	—
1141	C₂²×C₄	—	13	4	no	—
1142	C₂²×C₄	—	13	8	no	—
1143	C₂²×C₄	—	13	8	no	—
1144	C₂²×C₄	—	13	4	no	—
1145	C₂²×C₄	—	26	8	no	—
1146	C₂²×C₄	—	26	4	no	—
1147	C₂²×C₄	—	26	4	no	—
1148	C₂²×C₄	—	26	4	no	—
1149	C₂²×C₄	—	26	4	no	—
1150	C₂²×C₄	—	52	16	no	—
1151	C₂²×C₄	—	52	16	no	—
1152	C₂²×C₄	—	52	2	no	—
1153	C₂²×C₄	—	52	2	no	—
1154	C₂²×C₄	—	52	2	no	—
1155	C₂²×C₄	—	52	2	no	—
1156	C₂²×C₄	—	52	4	no	—
1157	C₂²×C₄	—	52	2	no	—
1158	C₂²×C₄	—	52	4	no	—
1159	C₂²×C₄	—	52	2	no	—
1160	C₂²×C₄	—	52	2	no	—
1161	C₂²×C₄	—	52	4	no	—
1162	C₂²×C₄	—	52	4	no	—
1163	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1164	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1165	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1166	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1167	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1168	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1169	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1170	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1171	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1173	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1174	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1175	C₄⋊C₄	—	13	4	no	—
1176	C₄⋊C₄	—	13	4	no	—
1177	C₄⋊C₄	—	13	8	no	—
1178	C₄⋊C₄	—	13	8	no	—
1179	C₄⋊C₄	—	13	4	no	—
1180	C₄⋊C₄	—	13	4	no	—
1181	C₄⋊C₄	—	13	4	no	—
1182	C₄⋊C₄	—	13	4	no	—
1183	C₄⋊C₄	—	13	8	no	—
1184	C₄⋊C₄	—	13	8	no	—
1185	C₄⋊C₄	—	13	8	no	—
1186	C₄⋊C₄	—	13	8	no	—
1187	C₄⋊C₄	—	13	8	no	—
1188	C₄⋊C₄	—	13	8	no	—
1189	C₄⋊C₄	—	13	8	no	—
1190	C₄⋊C₄	—	13	8	no	—
1191	C₄⋊C₄	—	13	8	no	—
1192	C₄⋊C₄	—	13	8	no	—
1193	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1194	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1195	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1196	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1197	C₂²⋊C₄	—	13	8	no	—
1198	C₂²⋊C₄	—	13	4	no	—
1199	C₂²⋊C₄	—	13	4	no	—
1200	C₂²⋊C₄	—	13	8	no	—
1201	C₂²⋊C₄	—	13	8	no	—
1202	C₂²⋊C₄	—	13	8	no	—
1203	C₂²⋊C₄	—	13	4	no	—
1204	C₂²⋊C₄	—	13	4	no	—
1205	C₂²⋊C₄	—	13	8	no	—
1206	C₂²⋊C₄	—	13	8	no	—
1207	C₂²⋊C₄	—	13	8	no	—
1208	C₂²⋊C₄	—	13	8	no	—
1209	C₂²⋊C₄	—	13	8	no	—
1210	C₂²⋊C₄	—	13	4	no	—
1211	C₂²⋊C₄	—	13	8	no	—
1212	C₂²⋊C₄	—	13	8	no	—
1213	C₂²⋊C₄	—	13	4	no	—
1214	C₂²⋊C₄	—	13	8	no	—
1215	C₂²⋊C₄	—	13	8	no	—
1216	C₂²⋊C₄	—	13	8	no	—
1217	C₂²⋊C₄	—	13	8	no	—
1218	C₂²⋊C₄	—	13	8	no	—
1219	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1220	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1221	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1222	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1223	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1224	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1225	C₄²	—	13	4	no	—
1226	C₄²	—	13	4	no	—
1227	C₄²	—	13	4	no	—
1228	C₄²	—	13	8	no	—
1229	C₄²	—	13	8	no	—
1230	C₄²	—	13	8	no	—
1231	C₄²	C₂³×D₁₃	1	4	yes	—
1232	C₄²	C₂³×D₁₃	1	8	yes	—
1233	C₁₃	C₂×#3505	1	1	yes	characteristic, complemented, Sylow
1234	C₂³	—	2	2	no	—
1235	C₂³	—	2	2	no	—
1236	C₂³	—	2	2	no	—
1237	C₂³	—	2	4	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	4	no	—
1240	C₂³	—	2	4	no	—
1241	C₂³	—	2	2	no	—
1242	C₂³	—	13	4	no	—
1243	C₂³	—	13	4	no	—
1244	C₂³	—	13	2	no	—
1245	C₂³	—	13	2	no	—
1246	C₂³	—	13	16	no	—
1247	C₂³	—	13	2	no	—
1248	C₂³	—	13	4	no	—
1249	C₂³	—	26	8	no	—
1250	C₂³	—	26	16	no	—
1251	C₂³	—	26	2	no	—
1252	C₂³	—	26	2	no	—
1253	C₂³	—	26	2	no	—
1254	C₂³	—	26	2	no	—
1255	C₂³	—	26	2	no	—
1256	C₂³	—	26	4	no	—
1257	C₂³	—	26	2	no	—
1258	C₂³	—	26	4	no	—
1259	C₂³	—	26	4	no	—
1260	C₂³	—	26	2	no	—
1261	C₂³	—	52	4	no	—
1262	C₂³	—	52	4	no	—
1263	C₂³	—	52	4	no	—
1264	C₂³	—	52	16	no	—
1265	C₂³	—	52	4	no	—
1266	C₂³	—	52	8	no	—
1267	C₂³	—	52	8	no	—
1268	C₂³	—	52	16	no	—
1269	C₂³	—	104	16	no	—
1270	C₂³	#41×D₁₃	1	4	yes	—
1271	C₂³	C₂⁴×D₁₃	1	2	yes	—
1272	C₂³	C₂⁴×D₁₃	1	4	yes	—
1273	C₂³	C₂⁴×D₁₃	1	2	yes	—
1274	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1275	Q₈	—	2	8	no	—
1276	Q₈	—	2	8	no	—
1277	Q₈	—	4	8	no	—
1278	D₄	—	2	8	no	—
1279	D₄	—	2	16	no	—
1280	D₄	—	2	8	no	—
1281	D₄	—	4	8	no	—
1282	D₄	—	26	8	no	—
1283	D₄	—	26	16	no	—
1284	D₄	—	26	8	no	—
1285	D₄	—	26	16	no	—
1286	D₄	—	26	8	no	—
1287	D₄	—	26	16	no	—
1288	D₄	—	26	8	no	—
1289	D₄	—	52	8	no	—
1290	D₄	—	52	8	no	—
1291	D₄	—	52	8	no	—
1292	D₄	—	52	8	no	—
1293	C₂×C₄	—	2	2	no	—
1294	C₂×C₄	—	2	2	no	—
1295	C₂×C₄	—	2	4	no	—
1296	C₂×C₄	—	2	4	no	—
1297	C₂×C₄	—	2	4	no	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	8	no	—
1301	C₂×C₄	—	2	8	no	—
1302	C₂×C₄	—	4	8	no	—
1303	C₂×C₄	—	4	8	no	—
1304	C₂×C₄	—	13	2	no	—
1305	C₂×C₄	—	13	2	no	—
1306	C₂×C₄	—	13	4	no	—
1307	C₂×C₄	—	13	2	no	—
1308	C₂×C₄	—	13	2	no	—
1309	C₂×C₄	—	13	4	no	—
1310	C₂×C₄	—	13	4	no	—
1311	C₂×C₄	—	13	2	no	—
1312	C₂×C₄	—	26	16	no	—
1313	C₂×C₄	—	26	8	no	—
1314	C₂×C₄	—	26	2	no	—
1315	C₂×C₄	—	26	2	no	—
1316	C₂×C₄	—	26	2	no	—
1317	C₂×C₄	—	26	4	no	—
1318	C₂×C₄	—	26	2	no	—
1319	C₂×C₄	—	26	2	no	—
1320	C₂×C₄	—	26	4	no	—
1321	C₂×C₄	—	26	4	no	—
1322	C₂×C₄	—	26	8	no	—
1323	C₂×C₄	—	26	8	no	—
1324	C₂×C₄	—	26	8	no	—
1325	C₂×C₄	—	52	4	no	—
1326	C₂×C₄	—	52	8	no	—
1327	C₂×C₄	—	52	4	no	—
1328	C₂×C₄	—	52	4	no	—
1329	C₂×C₄	—	52	4	no	—
1330	C₂×C₄	—	52	4	no	—
1331	C₂×C₄	—	52	8	no	—
1332	C₂×C₄	—	52	8	no	—
1333	C₂×C₄	—	52	8	no	—
1334	C₂×C₄	—	52	4	no	—
1335	C₂×C₄	—	52	4	no	—
1336	C₂×C₄	#88251	1	4	yes	—
1337	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1338	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1339	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1340	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1341	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1342	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1343	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1344	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1345	C₂²	—	2	2	no	—
1346	C₂²	—	2	2	no	—
1347	C₂²	—	2	8	no	—
1348	C₂²	—	2	2	no	—
1349	C₂²	—	2	4	no	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	4	no	—
1352	C₂²	—	2	4	no	—
1353	C₂²	—	2	2	no	—
1354	C₂²	—	4	4	no	—
1355	C₂²	—	4	8	no	—
1356	C₂²	—	13	4	no	—
1357	C₂²	—	13	4	no	—
1358	C₂²	—	26	2	no	—
1359	C₂²	—	26	2	no	—
1360	C₂²	—	26	2	no	—
1361	C₂²	—	26	2	no	—
1362	C₂²	—	26	8	no	—
1363	C₂²	—	26	8	no	—
1364	C₂²	—	26	2	no	—
1365	C₂²	—	26	4	no	—
1366	C₂²	—	26	2	no	—
1367	C₂²	—	26	4	no	—
1368	C₂²	—	26	4	no	—
1369	C₂²	—	26	2	no	—
1370	C₂²	—	52	16	no	—
1371	C₂²	—	52	16	no	—
1372	C₂²	—	52	4	no	—
1373	C₂²	—	52	8	no	—
1374	C₂²	—	104	16	no	—
1375	C₂²	C₂×#88251	1	2	yes	—
1376	C₂²	C₂×#41×D₁₃	1	4	yes	—
1377	C₂²	C₂×#41×D₁₃	1	2	yes	—
1378	C₂²	#11719652	1	2	yes	—
1379	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1380	C₄	—	2	4	no	—
1381	C₄	—	2	2	no	—
1382	C₄	—	2	2	no	—
1383	C₄	—	2	2	no	—
1384	C₄	—	2	4	no	—
1385	C₄	—	2	4	no	—
1386	C₄	—	2	2	no	—
1387	C₄	—	26	2	no	—
1388	C₄	—	26	4	no	—
1389	C₄	—	26	2	no	—
1390	C₄	—	26	2	no	—
1391	C₄	—	26	2	no	—
1392	C₄	—	26	2	no	—
1393	C₄	—	26	4	no	—
1394	C₄	—	26	4	no	—
1395	C₄	C₂×#88251	1	4	yes	—
1396	C₂	—	2	4	no	—
1397	C₂	—	4	2	no	—
1398	C₂	—	4	4	no	—
1399	C₂	—	26	4	no	—
1400	C₂	—	26	4	no	—
1401	C₂	—	52	2	no	—
1402	C₂	—	52	4	no	—
1403	C₂	#13128672	1	4	yes	direct product factor
1404	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1405	C₂	C₂²×#88251	1	1	yes	characteristic
1406	C₂	C₂×#11719652	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#548	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#548	D₁₃
hypocenter	C₁₃	C₂×#3505
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#548

Complements

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

N	H ≅ G/N	type
1. #13128672	C₂	direct (N × H)
2. C₂×#11719323	C₂	semidirect
3. C₂×#11719245	C₂	semidirect
4. C₂×#11719270	C₂	semidirect
5. C₂×#11719306	C₂	semidirect
6. C₂×#11719286	C₂	semidirect
7. C₂×#11719344	C₂	semidirect
8. C₂×#11719384	C₂	semidirect
9. C₂×#11719342	C₂	semidirect
10. C₂×#11719522	C₂	semidirect
11. C₂×#11719381	C₂	semidirect
12. C₂×#11719534	C₂	semidirect
13. C₂×#11719343	C₂	semidirect
14. C₂×#11719383	C₂	semidirect
15. C₂×#11719310	C₂	semidirect
16. C₂×#11719285	C₂	semidirect
17. C₂×#11719385	C₂	semidirect
18. C₂×#11719332	C₂	semidirect
19. C₂×#11719533	C₂	semidirect
20. C₂²×#88200	C₂	semidirect
21. C₂×D₁₃×#121	C₂	semidirect
22. C₂×#11719250	C₂	semidirect
23. C₂×C₄×D₄×D₁₃	C₂	semidirect
24. C₂×C₁₃×#548	C₂	semidirect
25. C₂²×C₁₃×#41	C₂²	semidirect
26. C₂³×Q₈×C₁₃	C₂²	semidirect
27. C₂²×#6131	C₂²	semidirect
30. C₂²×D₄×D₁₃	C₂²	semidirect
32. C₂³×C₄×D₁₃	C₂²	semidirect
33. C₁₃×#548	C₂²	semidirect
34. C₂×C₁₃×#124	C₂²	semidirect
35. C₂×C₁₃×#124	C₂²	semidirect
36. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
37. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
38. C₂×C₁₃×#121	C₂²	semidirect
39. C₂×C₁₃×#121	C₂²	semidirect
40. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
41. C₂×C₄×D₄×C₁₃	C₂²	semidirect
42. C₂×C₄×D₄×C₁₃	C₂²	semidirect
43. #11719534	C₂²	semidirect
44. #11719533	C₂²	semidirect
45. #11719522	C₂²	semidirect
46. C₂×#88201	C₂²	semidirect
47. C₂×#88201	C₂²	semidirect
48. C₂×#88200	C₂²	semidirect
49. C₂×#88200	C₂²	semidirect
50. C₂×#88200	C₂²	semidirect
51. C₂×#88200	C₂²	semidirect
52. C₂×#88200	C₂²	semidirect
53. C₂×#88200	C₂²	semidirect
54. C₂×#88200	C₂²	semidirect
55. C₂×#88200	C₂²	semidirect
56. C₂×#88200	C₂²	semidirect
57. C₂×Q₈×Dic₁₃	C₂²	semidirect
58. C₂×#88193	C₂²	semidirect
59. C₂×#88193	C₂²	semidirect
60. C₂×#88193	C₂²	semidirect
61. C₂×#88193	C₂²	semidirect
63. C₂×#88192	C₂²	semidirect
65. C₂×#88191	C₂²	semidirect
66. C₂×#88189	C₂²	semidirect
67. C₂×D₄×Dic₁₃	C₂²	semidirect
68. C₂×D₄×Dic₁₃	C₂²	semidirect
69. C₂×D₄×Dic₁₃	C₂²	semidirect
70. C₂×#88184	C₂²	semidirect
71. C₂×#88184	C₂²	semidirect
72. C₂×#88184	C₂²	semidirect
73. C₂×#88183	C₂²	semidirect
75. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
76. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
77. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
78. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
80. C₂²×#6103	C₂²	semidirect
81. C₂×#88180	C₂²	semidirect
82. C₂²×C₄⋊Dic₁₃	C₂²	semidirect
83. C₂²×#6101	C₂²	semidirect
84. #11719385	C₂²	semidirect
85. #11719384	C₂²	semidirect
86. #11719383	C₂²	semidirect
87. #11719381	C₂²	semidirect
88. #11719344	C₂²	semidirect
89. #11719343	C₂²	semidirect
90. #11719342	C₂²	semidirect
91. #11719332	C₂²	semidirect
92. #11719323	C₂²	semidirect
93. #11719310	C₂²	semidirect
94. D₁₃×#121	C₂²	semidirect
95. #11719306	C₂²	semidirect
96. #11719286	C₂²	semidirect
97. #11719285	C₂²	semidirect
98. #11719270	C₂²	semidirect
99. #11719250	C₂²	semidirect
100. C₄×D₄×D₁₃	C₂²	semidirect
101. #11719245	C₂²	semidirect
102. C₂×#88152	C₂²	semidirect
103. C₂×#88152	C₂²	semidirect
106. C₂×#88148	C₂²	semidirect
107. C₂×#88148	C₂²	semidirect
109. C₂×#88147	C₂²	semidirect
110. C₂×#88146	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×#88143	C₂²	semidirect
117. C₂×#88140	C₂²	semidirect
119. C₂×#88138	C₂²	semidirect
121. C₂×#88137	C₂²	semidirect
122. C₂×#88137	C₂²	semidirect
123. C₂×#88137	C₂²	semidirect
125. C₂×#88136	C₂²	semidirect
127. C₂×#88135	C₂²	semidirect
128. C₂×#88135	C₂²	semidirect
129. C₂×#88135	C₂²	semidirect
130. 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×#88133	C₂²	semidirect
136. C₂×#88133	C₂²	semidirect
137. C₂×#88133	C₂²	semidirect
138. C₂×#88131	C₂²	semidirect
139. C₂×#88130	C₂²	semidirect
141. C₂×C₄×D₅₂	C₂²	semidirect
142. C₂×C₄×D₅₂	C₂²	semidirect
143. C₂×#88126	C₂²	semidirect
144. C₂×#88126	C₂²	semidirect
145. C₂×C₄²×D₁₃	C₂²	semidirect
146. C₂×#88124	C₂²	semidirect
151. C₂×C₁₃×#41	C₂³	semidirect
156. C₂²×Q₈×C₁₃	C₂³	semidirect
177. C₂×#6131	C₂³	semidirect
183. C₂×D₄×D₁₃	C₂³	semidirect
203. C₂²×C₄×D₁₃	C₂³	semidirect
204. C₁₃×#124	C₂³	semidirect
205. C₁₃×#124	C₂³	semidirect
206. C₁₃×C₂²⋊Q₈	C₂³	semidirect
207. C₁₃×C₂²⋊Q₈	C₂³	semidirect
208. C₁₃×#121	C₂³	semidirect
209. C₁₃×#121	C₂³	semidirect
210. C₄×Q₈×C₁₃	C₂³	semidirect
211. C₄×D₄×C₁₃	C₂³	semidirect
212. C₄×D₄×C₁₃	C₂³	semidirect
231. #88201	C₂³	semidirect
232. #88201	C₂³	semidirect
233. #88200	C₂³	semidirect
234. #88200	C₂³	semidirect
235. #88200	C₂³	semidirect
236. #88200	C₂³	semidirect
237. #88200	C₂³	semidirect
238. #88200	C₂³	semidirect
239. #88200	C₂³	semidirect
240. #88200	C₂³	semidirect
241. Q₈×Dic₁₃	C₂³	semidirect
242. #88193	C₂³	semidirect
243. #88193	C₂³	semidirect
244. #88193	C₂³	semidirect
245. #88193	C₂³	semidirect
247. #88192	C₂³	semidirect
249. #88191	C₂³	semidirect
250. #88189	C₂³	semidirect
251. D₄×Dic₁₃	C₂³	semidirect
252. D₄×Dic₁₃	C₂³	semidirect
253. D₄×Dic₁₃	C₂³	semidirect
254. #88184	C₂³	semidirect
255. #88184	C₂³	semidirect
256. #88184	C₂³	semidirect
257. #88183	C₂³	semidirect
259. C₄×C₂²⋊D₁₃	C₂³	semidirect
260. C₄×C₂²⋊D₁₃	C₂³	semidirect
261. C₄×C₂²⋊D₁₃	C₂³	semidirect
262. C₄×C₂²⋊D₁₃	C₂³	semidirect
280. C₂×#6103	C₂³	semidirect
281. #88180	C₂³	semidirect
289. C₂×C₄⋊Dic₁₃	C₂³	semidirect
301. C₂×#6101	C₂³	semidirect
308. #88152	C₂³	semidirect
309. #88152	C₂³	semidirect
312. #88148	C₂³	semidirect
313. #88148	C₂³	semidirect
315. #88147	C₂³	semidirect
316. #88146	C₂³	semidirect
317. #88146	C₂³	semidirect
318. C₄⋊C₄×D₁₃	C₂³	semidirect
319. C₄⋊C₄×D₁₃	C₂³	semidirect
320. #88144	C₂³	semidirect
321. #88143	C₂³	semidirect
322. #88143	C₂³	semidirect
323. #88140	C₂³	semidirect
325. #88138	C₂³	semidirect
327. #88137	C₂³	semidirect
328. #88137	C₂³	semidirect
329. #88137	C₂³	semidirect
331. #88136	C₂³	semidirect
333. #88135	C₂³	semidirect
334. #88135	C₂³	semidirect
335. #88135	C₂³	semidirect
336. #88135	C₂³	semidirect
338. C₂²⋊C₄×D₁₃	C₂³	semidirect
339. C₂²⋊C₄×D₁₃	C₂³	semidirect
340. C₂²⋊C₄×D₁₃	C₂³	semidirect
341. #88133	C₂³	semidirect
342. #88133	C₂³	semidirect
343. #88133	C₂³	semidirect
344. #88131	C₂³	semidirect
345. #88130	C₂³	semidirect
347. C₄×D₅₂	C₂³	semidirect
348. C₄×D₅₂	C₂³	semidirect
349. #88126	C₂³	semidirect
350. #88126	C₂³	semidirect
351. C₄²×D₁₃	C₂³	semidirect
352. #88124	C₂³	semidirect
365. C₂³×D₁₃	#41	semidirect
541. C₂×#548	D₁₃	semidirect
591. C₂²×D₁₃	C₂×#41	semidirect
667. C₂²×#41	C₂×D₁₃	semidirect
668. C₂³×Q₈	C₂×D₁₃	semidirect
683. #548	C₂×D₁₃	semidirect
703. C₂×#124	C₂×D₁₃	semidirect
704. C₂×#124	C₂×D₁₃	semidirect
726. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
727. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
741. C₂×#121	C₂×D₁₃	semidirect
742. C₂×#121	C₂×D₁₃	semidirect
749. C₂×C₄×Q₈	C₂×D₁₃	semidirect
769. C₂×C₄×D₄	C₂×D₁₃	semidirect
770. C₂×C₄×D₄	C₂×D₁₃	semidirect
845. C₂×#41	C₂²×D₁₃	semidirect
850. C₂²×Q₈	C₂²×D₁₃	semidirect
908. #124	C₂²×D₁₃	semidirect
909. #124	C₂²×D₁₃	semidirect
928. C₂²⋊Q₈	C₂²×D₁₃	semidirect
929. C₂²⋊Q₈	C₂²×D₁₃	semidirect
942. #121	C₂²×D₁₃	semidirect
943. #121	C₂²×D₁₃	semidirect
949. C₄×Q₈	C₂²×D₁₃	semidirect
968. C₄×D₄	C₂²×D₁₃	semidirect
969. C₄×D₄	C₂²×D₁₃	semidirect
1048. C₂×C₁₃	#3505	semidirect
1233. C₁₃	C₂×#3505	semidirect
1403. C₂	#13128672	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128672	2
C₂×#11719323	2
C₂×#11719245	2
C₂×#11719270	2
C₂×#11719306	2
C₂×#11719286	2
C₂×#11719344	2
C₂×#11719384	2
C₂×#11719342	2
C₂×#11719522	2
C₂×#11719381	2
C₂×#11719534	2
C₂×#11719343	2
C₂×#11719383	2
C₂×#11719310	2
C₂×#11719285	2
C₂×#11719385	2
C₂×#11719332	2
C₂×#11719533	2
C₂²×#88200	2
C₂×D₁₃×#121	2
C₂×#11719250	2
C₂×C₄×D₄×D₁₃	2
C₂×C₁₃×#548	2
C₂×#3505	13

Subgroups — C2×#13128672 #16770840

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128672 #16770840