Subgroups — C₂×#13128635 #16770820

Order 3328.

7738 conjugacy classes of subgroups.

The subgroup lattice has 1276 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128635	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719284	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719244	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719244	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719395	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719395	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719216	C₂	1	2	yes	maximal, complemented
8	C₂×#11719341	C₂	1	2	yes	maximal, complemented
9	C₂×#11719341	C₂	1	2	yes	maximal, complemented
10	C₂×D₄×Dic₂₆	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719432	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719337	C₂	1	2	yes	maximal, complemented
13	C₂×#11719394	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719434	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719339	C₂	1	2	yes	maximal, complemented
16	C₂×#11719339	C₂	1	2	yes	maximal, complemented
17	C₂×#11719393	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719283	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#88150	C₂	1	2	yes	maximal, complemented
20	C₂×D₁₃×C₂²⋊Q₈	C₂	1	2	yes	maximal, complemented
21	C₂×#11719250	C₂	1	1	yes	maximal, characteristic
22	C₂×#11719250	C₂	1	1	yes	maximal, characteristic
23	C₂×C₄×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic
24	C₂×C₁₃×#554	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×Q₈×D₁₃	C₂²	1	2	yes	complemented
26	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
27	C₂³×C₄×D₁₃	C₂²	1	2	yes	—
28	C₂³×Dic₂₆	C₂²	1	2	yes	complemented
29	C₁₃×#554	C₂²	1	16	yes	complemented
30	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
34	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
35	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
36	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
38	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
40	C₂²×C₁₃×C₄⋊C₄	C₂²	1	2	yes	complemented
41	C₂×#88200	C₂²	1	1	yes	characteristic
42	C₂×#88200	C₂²	1	2	yes	—
43	C₂×#88200	C₂²	1	2	yes	complemented
44	C₂×#88200	C₂²	1	2	yes	complemented
45	C₂×#88198	C₂²	1	2	yes	complemented
46	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
47	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
48	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
49	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	—
51	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	—
52	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	—
53	C₂²×#6103	C₂²	1	2	yes	—
54	C₂²×#6103	C₂²	1	2	yes	—
55	C₂×#88178	C₂²	1	2	yes	complemented
56	C₂×#88178	C₂²	1	2	yes	complemented
57	C₂×#88178	C₂²	1	2	yes	complemented
58	C₂²×#6101	C₂²	1	2	yes	complemented
59	C₂²×#6101	C₂²	1	2	yes	complemented
60	#11719434	C₂²	1	16	yes	complemented
61	#11719432	C₂²	1	16	yes	complemented
62	#11719395	C₂²	1	16	yes	complemented
63	#11719395	C₂²	1	16	yes	complemented
64	#11719394	C₂²	1	16	yes	complemented
65	#11719393	C₂²	1	16	yes	complemented
66	#11719341	C₂²	1	32	yes	complemented
67	#11719341	C₂²	1	32	yes	complemented
68	#11719339	C₂²	1	32	yes	complemented
69	#11719339	C₂²	1	32	yes	complemented
70	#11719337	C₂²	1	32	yes	complemented
71	D₁₃×C₂²⋊Q₈	C₂²	1	32	yes	complemented
72	#11719284	C₂²	1	16	yes	complemented
73	#11719283	C₂²	1	16	yes	complemented
74	#11719250	C₂²	1	16	yes	—
75	#11719250	C₂²	1	16	yes	—
76	C₄×D₄×D₁₃	C₂²	1	16	yes	—
77	#11719244	C₂²	1	16	yes	complemented
78	#11719244	C₂²	1	16	yes	complemented
79	D₄×Dic₂₆	C₂²	1	16	yes	complemented
80	#11719216	C₂²	1	32	yes	complemented
81	C₂×#88151	C₂²	1	1	yes	characteristic
82	C₂×#88151	C₂²	1	2	yes	—
83	C₂×#88151	C₂²	1	2	yes	complemented
84	C₂×#88151	C₂²	1	2	yes	complemented
85	C₂×#88150	C₂²	1	2	yes	—
86	C₂×#88150	C₂²	1	2	yes	—
87	C₂×#88150	C₂²	1	2	yes	—
88	C₂×#88150	C₂²	1	1	yes	characteristic
89	C₂×#88150	C₂²	1	2	yes	—
90	C₂×#88150	C₂²	1	1	yes	characteristic
91	C₂×#88150	C₂²	1	32	yes	complemented
92	C₂×#88150	C₂²	1	2	yes	complemented
93	C₂×#88150	C₂²	1	2	yes	complemented
94	C₂×#88150	C₂²	1	2	yes	complemented
95	C₂×#88150	C₂²	1	2	yes	complemented
96	C₂×#88150	C₂²	1	2	yes	complemented
97	C₂×#88150	C₂²	1	2	yes	complemented
98	C₂×#88150	C₂²	1	2	yes	complemented
99	C₂×#88150	C₂²	1	2	yes	complemented
100	C₂×#88147	C₂²	1	1	yes	characteristic
101	C₂×#88147	C₂²	1	1	yes	characteristic
102	C₂×#88147	C₂²	1	1	yes	characteristic
103	C₂×#88146	C₂²	1	1	yes	characteristic
104	C₂×#88146	C₂²	1	1	yes	characteristic
105	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
106	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
107	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
108	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
109	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
110	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
111	C₂×#88143	C₂²	1	2	yes	complemented
112	C₂×#88143	C₂²	1	2	yes	complemented
113	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
114	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
115	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
116	C₂×#88142	C₂²	1	2	yes	complemented
117	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
118	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
119	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
120	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
121	C₂×#88141	C₂²	1	2	yes	complemented
122	C₂×#88141	C₂²	1	2	yes	complemented
123	C₂×#88135	C₂²	1	2	yes	—
124	C₂×#88135	C₂²	1	2	yes	—
125	C₂×#88135	C₂²	1	2	yes	—
126	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
127	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
128	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
129	C₂×#88132	C₂²	1	2	yes	complemented
130	C₂×#88132	C₂²	1	2	yes	complemented
131	C₂×#88132	C₂²	1	2	yes	complemented
132	C₂×#88132	C₂²	1	2	yes	complemented
133	C₂×#88132	C₂²	1	2	yes	complemented
134	C₂×#88132	C₂²	1	2	yes	complemented
135	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
136	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
137	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
138	C₂×#88126	C₂²	1	1	yes	characteristic
139	C₂×#88126	C₂²	1	1	yes	characteristic
140	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
141	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
142	C₂×#88124	C₂²	1	1	yes	characteristic, complemented
143	C₂×#88123	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
149	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
150	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
152	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
153	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
154	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
155	C₂³×Dic₁₃	C₂³	1	2	yes	—
156	C₂³×Dic₁₃	C₂³	1	2	yes	—
157	C₂³×Dic₁₃	C₂³	1	2	yes	—
158	C₂×Q₈×D₁₃	—	4	8	no	—
159	C₂×Q₈×D₁₃	C₂³	1	16	yes	complemented
160	C₂×D₄×D₁₃	Q₈	1	16	yes	complemented
161	C₂×D₄×D₁₃	C₂³	1	8	yes	—
162	C₂²×D₅₂	C₂³	1	1	yes	characteristic
163	C₂²×C₄×D₁₃	—	4	8	no	—
164	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
165	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
166	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
167	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
168	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
169	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
170	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
171	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
172	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
173	C₂²×C₄×D₁₃	C₂³	1	16	yes	—
174	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
175	C₂²×Dic₂₆	—	4	8	no	—
176	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
177	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
178	C₂²×Dic₂₆	C₂³	1	2	yes	—
179	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
180	C₂²×Dic₂₆	C₂³	1	2	yes	—
181	C₂²×Dic₂₆	C₂³	1	2	yes	—
182	C₂²×Dic₂₆	C₂³	1	2	yes	—
183	C₂²×Dic₂₆	C₂³	1	2	yes	—
184	C₂²×Dic₂₆	C₂³	1	16	yes	complemented
185	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
186	C₁₃×#125	C₂³	1	8	yes	complemented
187	C₁₃×#125	C₂³	1	8	yes	complemented
188	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
189	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
190	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
191	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
192	C₄×D₄×C₁₃	C₂³	1	8	yes	—
193	C₄×D₄×C₁₃	C₂³	1	8	yes	—
194	C₄×D₄×C₁₃	C₂³	1	8	yes	—
195	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
196	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	16	yes	complemented
207	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
210	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
214	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
215	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
216	#88200	C₂³	1	16	yes	—
217	#88200	C₂³	1	8	yes	—
218	#88200	C₂³	1	16	yes	complemented
219	#88200	C₂³	1	16	yes	complemented
220	#88198	C₂³	1	16	yes	complemented
221	#88198	C₂³	1	8	yes	complemented
222	D₄×Dic₁₃	C₂³	1	8	yes	—
223	D₄×Dic₁₃	C₂³	1	8	yes	—
224	D₄×Dic₁₃	C₂³	1	8	yes	—
225	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	—
226	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	—
227	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	—
228	C₂×#6103	C₂³	1	1	yes	characteristic
229	C₂×#6103	C₂³	1	1	yes	characteristic
230	C₂×#6103	C₂³	1	1	yes	characteristic
231	C₂×#6103	C₂³	1	1	yes	characteristic
232	C₂×#6103	C₂³	1	2	yes	—
233	C₂×#6103	C₂³	1	2	yes	—
234	C₂×#6103	C₂³	1	2	yes	—
235	C₂×#6103	C₂³	1	2	yes	—
236	C₂×#6103	C₂³	1	2	yes	—
237	C₂×#6103	C₂³	1	2	yes	—
238	C₂×#6103	C₂³	1	2	yes	—
239	C₂×#6103	C₂³	1	2	yes	—
240	C₂×#6103	C₂³	1	16	yes	—
241	C₂×#6103	C₂³	1	16	yes	—
242	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
248	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
250	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
251	#88178	C₂³	1	16	yes	complemented
252	#88178	C₂³	1	16	yes	complemented
253	#88178	C₂³	1	16	yes	complemented
254	C₂×#6101	C₂³	1	1	yes	characteristic
255	C₂×#6101	C₂³	1	1	yes	characteristic
256	C₂×#6101	C₂³	1	1	yes	characteristic
257	C₂×#6101	C₂³	1	1	yes	characteristic
258	C₂×#6101	C₂³	1	1	yes	characteristic
259	C₂×#6101	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	2	yes	—
261	C₂×#6101	C₂³	1	2	yes	—
262	C₂×#6101	C₂³	1	2	yes	—
263	C₂×#6101	C₂³	1	2	yes	—
264	C₂×#6101	C₂³	1	1	yes	characteristic
265	C₂×#6101	C₂³	1	1	yes	characteristic
266	C₂×#6101	C₂³	1	1	yes	characteristic
267	C₂×#6101	C₂³	1	1	yes	characteristic
268	C₂×#6101	C₂³	1	2	yes	—
269	C₂×#6101	C₂³	1	2	yes	—
270	C₂×#6101	C₂³	1	2	yes	—
271	C₂×#6101	C₂³	1	2	yes	—
272	C₂×#6101	C₂³	1	2	yes	—
273	C₂×#6101	C₂³	1	2	yes	—
274	C₂×#6101	C₂³	1	2	yes	—
275	C₂×#6101	C₂³	1	16	yes	complemented
276	C₂×#6101	C₂³	1	16	yes	complemented
277	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
283	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
284	#88151	C₂³	1	8	yes	—
285	#88151	C₂³	1	16	yes	—
286	#88151	C₂³	1	16	yes	complemented
287	#88151	C₂³	1	16	yes	complemented
288	#88150	C₂³	1	16	yes	—
289	#88150	C₂³	1	8	yes	—
290	#88150	C₂³	1	16	yes	—
291	#88150	C₂³	1	16	yes	—
292	#88150	C₂³	1	8	yes	—
293	#88150	C₂³	1	16	yes	—
294	#88150	C₂³	1	16	yes	complemented
295	#88150	C₂³	1	16	yes	complemented
296	#88150	C₂³	1	16	yes	complemented
297	#88150	C₂³	1	16	yes	complemented
298	#88150	C₂³	1	16	yes	complemented
299	#88150	C₂³	1	16	yes	complemented
300	#88150	C₂³	1	16	yes	complemented
301	#88150	C₂³	1	16	yes	complemented
302	#88147	C₂³	1	8	yes	—
303	#88147	C₂³	1	8	yes	—
304	#88147	C₂³	1	8	yes	—
305	#88146	C₂³	1	8	yes	—
306	#88146	C₂³	1	8	yes	—
307	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
308	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
309	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
310	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
311	#88144	C₂³	1	8	yes	complemented
312	#88144	C₂³	1	8	yes	complemented
313	#88143	C₂³	1	16	yes	complemented
314	#88143	C₂³	1	8	yes	complemented
315	#88143	C₂³	1	8	yes	complemented
316	#88143	C₂³	1	16	yes	complemented
317	#88142	C₂³	1	8	yes	complemented
318	#88142	C₂³	1	8	yes	complemented
319	#88142	C₂³	1	8	yes	complemented
320	#88142	C₂³	1	16	yes	complemented
321	#88142	C₂³	1	8	yes	complemented
322	#88142	C₂³	1	8	yes	complemented
323	#88141	C₂³	1	16	yes	complemented
324	#88141	C₂³	1	16	yes	complemented
325	#88135	C₂³	1	16	yes	—
326	#88135	C₂³	1	16	yes	—
327	#88135	C₂³	1	16	yes	—
328	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
329	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
330	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
331	#88132	C₂³	1	16	yes	complemented
332	#88132	C₂³	1	16	yes	complemented
333	#88132	C₂³	1	16	yes	complemented
334	#88132	C₂³	1	16	yes	complemented
335	#88132	C₂³	1	16	yes	complemented
336	#88132	C₂³	1	16	yes	complemented
337	C₄×D₅₂	C₂³	1	8	yes	—
338	C₄×D₅₂	C₂³	1	8	yes	—
339	C₄×D₅₂	C₂³	1	8	yes	—
340	#88126	C₂³	1	8	yes	—
341	#88126	C₂³	1	8	yes	—
342	C₄²×D₁₃	C₂³	1	8	yes	—
343	#88124	C₂³	1	8	yes	complemented
344	#88124	C₂³	1	8	yes	complemented
345	#88123	C₂³	1	8	yes	complemented
346	C₄×Dic₂₆	C₂³	1	8	yes	complemented
347	C₄×Dic₂₆	C₂³	1	8	yes	complemented
348	C₄×Dic₂₆	C₂³	1	8	yes	complemented
349	C₂×#3501	—	13	1	no	maximal, Sylow
350	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
351	C₂³×D₁₃	—	4	4	no	—
352	C₂³×D₁₃	—	4	4	no	—
353	C₂³×D₁₃	C₂×Q₈	1	16	yes	complemented
354	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
355	C₂³×D₁₃	C₂⁴	1	2	yes	—
356	C₂³×D₁₃	C₂⁴	1	8	yes	—
357	C₂×Q₈×C₁₃	—	4	4	no	—
358	C₂×Q₈×C₁₃	—	4	2	no	—
359	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
360	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
361	C₂×D₄×C₁₃	C₂×Q₈	1	8	yes	complemented
362	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
363	C₂²×C₄×C₁₃	—	4	4	no	—
364	C₂²×C₄×C₁₃	—	4	4	no	—
365	C₂²×C₄×C₁₃	—	4	4	no	—
366	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
369	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
370	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
376	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
377	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂×C₂²⋊D₁₃	C₂×Q₈	1	16	yes	complemented
380	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
381	C₂²×Dic₁₃	—	2	8	no	—
382	C₂²×Dic₁₃	—	4	4	no	—
383	C₂²×Dic₁₃	—	4	4	no	—
384	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
385	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
388	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
391	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
393	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
394	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
395	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
397	Q₈×D₁₃	—	4	32	no	—
398	D₄×D₁₃	C₂×Q₈	1	64	yes	complemented
399	C₂×D₅₂	C₂×Q₈	1	8	yes	complemented
400	C₂×D₅₂	C₂⁴	1	4	yes	—
401	C₂×C₄×D₁₃	—	2	4	no	—
402	C₂×C₄×D₁₃	—	2	8	no	—
403	C₂×C₄×D₁₃	—	4	32	no	—
404	C₂×C₄×D₁₃	—	4	4	no	—
405	C₂×C₄×D₁₃	—	4	4	no	—
406	C₂×C₄×D₁₃	—	4	2	no	—
407	C₂×C₄×D₁₃	—	4	4	no	—
408	C₂×C₄×D₁₃	—	4	4	no	—
409	C₂×C₄×D₁₃	—	4	4	no	—
410	C₂×C₄×D₁₃	—	4	4	no	—
411	C₂×C₄×D₁₃	C₂×Q₈	1	8	yes	complemented
412	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
413	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
414	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
415	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
416	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
417	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
418	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
419	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
420	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
421	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
422	C₂×Dic₂₆	—	2	4	no	—
423	C₂×Dic₂₆	—	2	8	no	—
424	C₂×Dic₂₆	—	2	4	no	—
425	C₂×Dic₂₆	—	4	32	no	—
426	C₂×Dic₂₆	—	4	4	no	—
427	C₂×Dic₂₆	—	4	4	no	—
428	C₂×Dic₂₆	—	4	4	no	—
429	C₂×Dic₂₆	—	4	2	no	—
430	C₂×Dic₂₆	—	4	4	no	—
431	C₂×Dic₂₆	C₂⁴	1	4	yes	—
432	C₂×Dic₂₆	C₂⁴	1	4	yes	—
433	C₂×Dic₂₆	C₂⁴	1	8	yes	—
434	C₂×Dic₂₆	C₂⁴	1	4	yes	—
435	C₂×Dic₂₆	C₂⁴	1	8	yes	—
436	C₂×Dic₂₆	C₂⁴	1	8	yes	—
437	C₂×Dic₂₆	C₂⁴	1	8	yes	—
438	C₂×Dic₂₆	C₂⁴	1	8	yes	—
439	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
440	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
441	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
442	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
443	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
444	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
445	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
446	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
447	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
448	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
449	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
450	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
451	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
452	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
453	C₄²×C₁₃	C₂⁴	1	4	yes	—
454	C₄²×C₁₃	C₂⁴	1	4	yes	—
455	C₄²×C₁₃	C₂⁴	1	4	yes	—
456	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
457	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
458	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
459	#6103	C₂⁴	1	4	yes	—
460	#6103	C₂⁴	1	4	yes	—
461	#6103	C₂⁴	1	4	yes	—
462	#6103	C₂⁴	1	4	yes	—
463	#6103	C₂⁴	1	8	yes	—
464	#6103	C₂⁴	1	8	yes	—
465	#6103	C₂⁴	1	8	yes	—
466	#6103	C₂⁴	1	8	yes	—
467	#6103	C₂⁴	1	8	yes	—
468	#6103	C₂⁴	1	8	yes	—
469	#6103	C₂⁴	1	8	yes	—
470	#6103	C₂⁴	1	8	yes	—
471	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
472	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
473	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
474	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
475	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
476	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
477	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
478	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
479	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
480	#6101	C₂⁴	1	4	yes	—
481	#6101	C₂⁴	1	4	yes	—
482	#6101	C₂⁴	1	4	yes	—
483	#6101	C₂⁴	1	4	yes	—
484	#6101	C₂⁴	1	4	yes	—
485	#6101	C₂⁴	1	4	yes	—
486	#6101	C₂⁴	1	8	yes	—
487	#6101	C₂⁴	1	8	yes	—
488	#6101	C₂⁴	1	8	yes	—
489	#6101	C₂⁴	1	8	yes	—
490	#6101	C₂⁴	1	4	yes	—
491	#6101	C₂⁴	1	4	yes	—
492	#6101	C₂⁴	1	4	yes	—
493	#6101	C₂⁴	1	4	yes	—
494	#6101	C₂⁴	1	8	yes	—
495	#6101	C₂⁴	1	8	yes	—
496	#6101	C₂⁴	1	8	yes	—
497	#6101	C₂⁴	1	8	yes	—
498	#6101	C₂⁴	1	8	yes	—
499	#6101	C₂⁴	1	8	yes	—
500	#6101	C₂⁴	1	8	yes	—
501	C₄×Dic₁₃	C₂⁴	1	4	yes	—
502	C₄×Dic₁₃	C₂⁴	1	4	yes	—
503	C₄×Dic₁₃	C₂⁴	1	4	yes	—
504	C₄×Dic₁₃	C₂⁴	1	4	yes	—
505	C₄×Dic₁₃	C₂⁴	1	4	yes	—
506	C₄×Dic₁₃	C₂⁴	1	8	yes	—
507	C₄×Dic₁₃	C₂⁴	1	8	yes	—
508	#3501	—	13	32	no	—
509	C₂×#554	—	13	1	no	—
510	C₂×#554	—	13	1	no	—
511	C₂×#554	—	13	2	no	—
512	C₂×#554	—	13	2	no	—
513	C₂×#554	—	13	1	no	—
514	C₂×#554	—	13	1	no	—
515	C₂×#554	—	13	1	no	—
516	C₂×#554	—	13	2	no	—
517	C₂×#554	D₁₃	1	1	yes	characteristic, complemented
518	C₂×D₄×Q₈	—	13	1	no	—
519	C₂×D₄×Q₈	—	13	2	no	—
520	C₂×D₄×Q₈	—	13	1	no	—
521	C₂×#544	—	13	1	no	—
522	C₂×#544	—	13	1	no	—
523	C₂×#543	—	13	2	no	—
524	C₂×#543	—	13	2	no	—
525	C₂×#533	—	13	1	no	—
526	C₂×#533	—	13	1	no	—
527	C₂²×C₂²⋊Q₈	—	13	2	no	—
528	C₂²×C₂²⋊Q₈	—	13	2	no	—
529	C₂×#518	—	13	1	no	—
530	C₂×#518	—	13	1	no	—
531	C₂²×C₄×D₄	—	13	1	no	—
532	C₂³×C₁₃	—	2	4	no	—
533	C₂³×C₁₃	—	2	4	no	—
534	C₂³×C₁₃	C₂²×Q₈	1	8	yes	—
535	C₂³×C₁₃	C₂⁵	1	4	yes	—
536	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
537	C₂²×D₁₃	—	2	4	no	—
538	C₂²×D₁₃	—	2	2	no	—
539	C₂²×D₁₃	—	2	4	no	—
540	C₂²×D₁₃	—	2	2	no	—
541	C₂²×D₁₃	—	4	8	no	—
542	C₂²×D₁₃	—	4	32	no	—
543	C₂²×D₁₃	—	4	8	no	—
544	C₂²×D₁₃	C₂²×Q₈	1	4	yes	—
545	C₂²×D₁₃	C₂²×Q₈	1	8	yes	—
546	C₂²×D₁₃	C₂²×Q₈	1	32	yes	complemented
547	C₂²×D₁₃	C₂⁵	1	2	yes	—
548	C₂²×D₁₃	C₂⁵	1	4	yes	—
549	Q₈×C₁₃	—	4	8	no	—
550	Q₈×C₁₃	—	4	4	no	—
551	D₄×C₁₃	C₂²×Q₈	1	16	yes	complemented
552	C₂×C₄×C₁₃	—	2	2	no	—
553	C₂×C₄×C₁₃	—	2	4	no	—
554	C₂×C₄×C₁₃	—	2	2	no	—
555	C₂×C₄×C₁₃	—	2	4	no	—
556	C₂×C₄×C₁₃	—	2	2	no	—
557	C₂×C₄×C₁₃	—	2	4	no	—
558	C₂×C₄×C₁₃	—	2	2	no	—
559	C₂×C₄×C₁₃	—	2	2	no	—
560	C₂×C₄×C₁₃	—	2	2	no	—
561	C₂×C₄×C₁₃	—	4	8	no	—
562	C₂×C₄×C₁₃	—	4	8	no	—
563	C₂×C₄×C₁₃	—	4	8	no	—
564	C₂×C₄×C₁₃	C₂²×Q₈	1	4	yes	—
565	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
566	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
567	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
568	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
569	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
570	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
571	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
572	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
573	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
574	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
575	C₂²⋊D₁₃	C₂²×Q₈	1	32	yes	complemented
576	C₂×Dic₁₃	—	2	2	no	—
577	C₂×Dic₁₃	—	2	4	no	—
578	C₂×Dic₁₃	—	2	2	no	—
579	C₂×Dic₁₃	—	2	4	no	—
580	C₂×Dic₁₃	—	2	2	no	—
581	C₂×Dic₁₃	—	2	2	no	—
582	C₂×Dic₁₃	—	2	4	no	—
583	C₂×Dic₁₃	—	2	2	no	—
584	C₂×Dic₁₃	—	2	16	no	—
585	C₂×Dic₁₃	—	4	8	no	—
586	C₂×Dic₁₃	—	4	8	no	—
587	C₂×Dic₁₃	C₂²×Q₈	1	4	yes	—
588	C₂×Dic₁₃	H(5,𝔽₂)	1	4	yes	—
589	C₂×Dic₁₃	C₂⁵	1	2	yes	—
590	C₂×Dic₁₃	C₂⁵	1	2	yes	—
591	C₂×Dic₁₃	C₂⁵	1	4	yes	—
592	C₂×Dic₁₃	C₂⁵	1	2	yes	—
593	C₂×Dic₁₃	C₂⁵	1	2	yes	—
594	C₂×Dic₁₃	C₂⁵	1	4	yes	—
595	C₂×Dic₁₃	C₂⁵	1	2	yes	—
596	C₂×Dic₁₃	C₂⁵	1	4	yes	—
597	C₂×Dic₁₃	C₂⁵	1	2	yes	—
598	C₂×Dic₁₃	C₂⁵	1	2	yes	—
599	D₅₂	C₂²×Q₈	1	16	yes	complemented
600	C₄×D₁₃	—	2	8	no	—
601	C₄×D₁₃	—	2	16	no	—
602	C₄×D₁₃	—	4	8	no	—
603	C₄×D₁₃	—	4	8	no	—
604	C₄×D₁₃	—	4	4	no	—
605	C₄×D₁₃	—	4	8	no	—
606	C₄×D₁₃	—	4	8	no	—
607	C₄×D₁₃	—	4	8	no	—
608	C₄×D₁₃	—	4	8	no	—
609	C₄×D₁₃	C₂²×Q₈	1	16	yes	complemented
610	Dic₂₆	—	2	8	no	—
611	Dic₂₆	—	2	16	no	—
612	Dic₂₆	—	2	8	no	—
613	Dic₂₆	—	4	8	no	—
614	Dic₂₆	—	4	8	no	—
615	Dic₂₆	—	4	8	no	—
616	Dic₂₆	—	4	4	no	—
617	Dic₂₆	—	4	8	no	—
618	C₂³×Q₈	—	13	2	no	—
619	C₂³×Q₈	—	13	2	no	—
620	C₂³×D₄	—	13	1	no	—
621	C₂⁴×C₄	—	13	2	no	—
622	#554	—	13	16	no	—
623	#554	—	13	16	no	—
624	#554	—	13	32	no	—
625	#554	—	13	32	no	—
626	#554	—	13	16	no	—
627	#554	—	13	16	no	—
628	#554	—	13	16	no	—
629	#554	—	13	32	no	—
630	#554	C₂×D₁₃	1	16	yes	complemented
631	D₄×Q₈	—	13	16	no	—
632	D₄×Q₈	—	13	32	no	—
633	D₄×Q₈	—	13	16	no	—
634	#544	—	13	16	no	—
635	#544	—	13	16	no	—
636	#543	—	13	32	no	—
637	#543	—	13	32	no	—
638	#533	—	13	16	no	—
639	#533	—	13	16	no	—
640	C₂×C₄⋊Q₈	—	13	1	no	—
641	C₂×C₄⋊Q₈	—	13	2	no	—
642	C₂×C₄⋊Q₈	—	13	1	no	—
643	C₂×C₄⋊Q₈	—	13	1	no	—
644	C₂×C₄⋊Q₈	—	13	1	no	—
645	C₂×C₄⋊Q₈	—	13	2	no	—
646	C₂×C₄⋊Q₈	—	13	1	no	—
647	C₂×C₄⋊Q₈	—	13	1	no	—
648	C₂×C₄⋊Q₈	—	13	1	no	—
649	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
650	C₂×#125	—	13	1	no	—
651	C₂×#125	—	13	1	no	—
652	C₂×#125	—	13	2	no	—
653	C₂×#125	—	13	2	no	—
654	C₂×#125	—	13	1	no	—
655	C₂×#125	—	13	1	no	—
656	C₂×#125	—	13	1	no	—
657	C₂×#125	—	13	1	no	—
658	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
659	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
660	C₂×C₂²⋊Q₈	—	13	2	no	—
661	C₂×C₂²⋊Q₈	—	13	1	no	—
662	C₂×C₂²⋊Q₈	—	13	2	no	—
663	C₂×C₂²⋊Q₈	—	13	2	no	—
664	C₂×C₂²⋊Q₈	—	13	2	no	—
665	C₂×C₂²⋊Q₈	—	13	2	no	—
666	C₂×C₂²⋊Q₈	—	13	2	no	—
667	C₂×C₂²⋊Q₈	—	13	32	no	—
668	C₂×C₂²⋊Q₈	—	13	1	no	—
669	C₂×C₂²⋊Q₈	—	13	2	no	—
670	C₂×C₂²⋊Q₈	—	13	1	no	—
671	C₂×C₂²⋊Q₈	—	13	2	no	—
672	C₂×C₂²⋊Q₈	—	13	2	no	—
673	C₂×C₂²⋊Q₈	—	13	2	no	—
674	C₂×C₂²⋊Q₈	—	13	2	no	—
675	C₂×C₂²⋊Q₈	—	13	2	no	—
676	C₂×C₂²⋊Q₈	—	13	2	no	—
677	C₂×C₂²⋊Q₈	—	13	2	no	—
678	C₂×C₂²⋊Q₈	—	13	2	no	—
679	C₂×C₂²⋊Q₈	—	13	2	no	—
680	C₂×C₂²⋊Q₈	—	13	2	no	—
681	C₂×C₂²⋊Q₈	—	13	2	no	—
682	C₂×C₂²⋊Q₈	—	13	2	no	—
683	C₂×C₂²⋊Q₈	—	13	1	no	—
684	C₂×C₂²⋊Q₈	—	13	2	no	—
685	C₂×C₂²⋊Q₈	—	13	2	no	—
686	C₂×C₂²⋊Q₈	—	13	32	no	—
687	C₂×C₂²⋊Q₈	—	13	2	no	—
688	C₂×C₂²⋊Q₈	—	13	2	no	—
689	C₂×C₂²⋊Q₈	—	13	2	no	—
690	C₂×C₂²⋊Q₈	—	13	2	no	—
691	C₂×C₂²⋊Q₈	—	13	2	no	—
692	C₂×C₂²⋊Q₈	—	13	2	no	—
693	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
694	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
695	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
696	#518	—	13	16	no	—
697	#518	—	13	16	no	—
698	C₂×C₄×Q₈	—	13	2	no	—
699	C₂×C₄×Q₈	—	13	2	no	—
700	C₂×C₄×Q₈	—	13	1	no	—
701	C₂×C₄×Q₈	—	13	1	no	—
702	C₂×C₄×Q₈	—	13	1	no	—
703	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
704	C₂×C₄×D₄	—	13	1	no	—
705	C₂×C₄×D₄	—	13	1	no	—
706	C₂×C₄×D₄	—	13	1	no	—
707	C₂×C₄×D₄	—	13	2	no	—
708	C₂×C₄×D₄	—	13	2	no	—
709	C₂×C₄×D₄	—	13	2	no	—
710	C₂×C₄×D₄	—	13	16	no	—
711	C₂×C₄×D₄	—	13	1	no	—
712	C₂×C₄×D₄	—	13	1	no	—
713	C₂×C₄×D₄	—	13	1	no	—
714	C₂×C₄×D₄	—	13	2	no	—
715	C₂×C₄×D₄	—	13	2	no	—
716	C₂×C₄×D₄	—	13	2	no	—
717	C₂×C₄×D₄	—	13	1	no	—
718	C₂×C₄×D₄	—	13	1	no	—
719	C₂×C₄×D₄	—	13	1	no	—
720	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
721	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
722	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
723	C₂×#117	—	13	1	no	—
724	C₂×#117	—	13	1	no	—
725	C₂×#117	—	13	1	no	—
726	C₂×#117	—	13	1	no	—
727	C₂²×C₄⋊C₄	—	13	2	no	—
728	C₂²×C₄⋊C₄	—	13	2	no	—
729	C₂²×C₄⋊C₄	—	13	1	no	—
730	C₂²×C₄⋊C₄	—	13	2	no	—
731	C₂²×C₄⋊C₄	—	13	2	no	—
732	C₂²×C₄⋊C₄	—	13	2	no	—
733	C₂²×C₄⋊C₄	C₂×D₁₃	1	2	yes	complemented
734	C₂²×C₂²⋊C₄	—	13	2	no	—
735	C₂²×C₂²⋊C₄	—	13	2	no	—
736	C₂²×C₂²⋊C₄	—	13	2	no	—
737	C₂²×C₂²⋊C₄	—	13	2	no	—
738	C₂²×C₂²⋊C₄	—	13	2	no	—
739	C₂²×C₄²	—	13	1	no	—
740	C₂²×C₁₃	—	2	4	no	—
741	C₂²×C₁₃	—	2	4	no	—
742	C₂²×C₁₃	—	2	16	no	—
743	C₂²×C₁₃	C₂³×Q₈	1	8	yes	—
744	C₂²×C₁₃	C₂³×Q₈	1	2	yes	—
745	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
746	C₂²×C₁₃	#585	1	2	yes	—
747	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
748	C₂×D₁₃	—	2	4	no	—
749	C₂×D₁₃	—	2	2	no	—
750	C₂×D₁₃	—	2	4	no	—
751	C₂×D₁₃	—	2	2	no	—
752	C₂×D₁₃	—	2	8	no	—
753	C₂×D₁₃	—	2	16	no	—
754	C₂×D₁₃	—	4	32	no	—
755	C₂×D₁₃	C₂³×Q₈	1	4	yes	—
756	C₂×D₁₃	C₂³×Q₈	1	8	yes	—
757	C₄×C₁₃	—	2	2	no	—
758	C₄×C₁₃	—	2	4	no	—
759	C₄×C₁₃	—	2	2	no	—
760	C₄×C₁₃	—	2	4	no	—
761	C₄×C₁₃	—	2	2	no	—
762	C₄×C₁₃	—	2	4	no	—
763	C₄×C₁₃	—	2	2	no	—
764	C₄×C₁₃	—	2	2	no	—
765	C₄×C₁₃	—	2	2	no	—
766	C₄×C₁₃	C₂³×Q₈	1	4	yes	—
767	Dic₁₃	—	2	2	no	—
768	Dic₁₃	—	2	4	no	—
769	Dic₁₃	—	2	2	no	—
770	Dic₁₃	—	2	4	no	—
771	Dic₁₃	—	2	2	no	—
772	Dic₁₃	—	2	2	no	—
773	Dic₁₃	—	2	4	no	—
774	Dic₁₃	—	2	2	no	—
775	Dic₁₃	C₂³×Q₈	1	4	yes	—
776	Dic₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
777	C₂⁵	—	13	2	no	—
778	C₂²×Q₈	—	13	16	no	—
779	C₂²×Q₈	—	13	2	no	—
780	C₂²×Q₈	—	13	1	no	—
781	C₂²×Q₈	—	13	1	no	—
782	C₂²×Q₈	—	13	2	no	—
783	C₂²×Q₈	—	13	1	no	—
784	C₂²×Q₈	—	13	2	no	—
785	C₂²×Q₈	—	13	2	no	—
786	C₂²×Q₈	—	13	2	no	—
787	C₂²×Q₈	—	13	16	no	—
788	C₂²×Q₈	—	52	8	no	—
789	C₂²×Q₈	—	52	8	no	—
790	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
791	C₂²×Q₈	C₂²×D₁₃	1	2	yes	—
792	C₂²×D₄	—	13	2	no	—
793	C₂²×D₄	—	13	16	no	—
794	C₂²×D₄	—	13	8	no	—
795	C₂²×D₄	—	13	1	no	—
796	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
797	C₂³×C₄	—	13	1	no	—
798	C₂³×C₄	—	13	2	no	—
799	C₂³×C₄	—	13	2	no	—
800	C₂³×C₄	—	13	2	no	—
801	C₂³×C₄	—	13	2	no	—
802	C₂³×C₄	—	13	1	no	—
803	C₂³×C₄	—	13	1	no	—
804	C₂³×C₄	—	13	2	no	—
805	C₂³×C₄	—	13	2	no	—
806	C₂³×C₄	—	13	2	no	—
807	C₂³×C₄	—	13	2	no	—
808	C₂³×C₄	—	13	2	no	—
809	C₂³×C₄	—	13	2	no	—
810	C₂³×C₄	—	13	16	no	—
811	C₂³×C₄	—	52	8	no	—
812	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
813	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
814	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
815	C₄⋊Q₈	—	13	8	no	—
816	C₄⋊Q₈	—	13	16	no	—
817	C₄⋊Q₈	—	13	8	no	—
818	C₄⋊Q₈	—	13	8	no	—
819	C₄⋊Q₈	—	13	8	no	—
820	C₄⋊Q₈	—	13	16	no	—
821	C₄⋊Q₈	—	13	8	no	—
822	C₄⋊Q₈	—	13	8	no	—
823	C₄⋊Q₈	—	13	8	no	—
824	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
825	#125	—	13	8	no	—
826	#125	—	13	8	no	—
827	#125	—	13	16	no	—
828	#125	—	13	16	no	—
829	#125	—	13	8	no	—
830	#125	—	13	8	no	—
831	#125	—	13	8	no	—
832	#125	—	13	8	no	—
833	#125	C₂²×D₁₃	1	8	yes	complemented
834	#125	C₂²×D₁₃	1	8	yes	complemented
835	C₂²⋊Q₈	—	13	16	no	—
836	C₂²⋊Q₈	—	13	8	no	—
837	C₂²⋊Q₈	—	13	16	no	—
838	C₂²⋊Q₈	—	13	16	no	—
839	C₂²⋊Q₈	—	13	16	no	—
840	C₂²⋊Q₈	—	13	16	no	—
841	C₂²⋊Q₈	—	13	16	no	—
842	C₂²⋊Q₈	—	13	8	no	—
843	C₂²⋊Q₈	—	13	16	no	—
844	C₂²⋊Q₈	—	13	8	no	—
845	C₂²⋊Q₈	—	13	16	no	—
846	C₂²⋊Q₈	—	13	16	no	—
847	C₂²⋊Q₈	—	13	16	no	—
848	C₂²⋊Q₈	—	13	16	no	—
849	C₂²⋊Q₈	—	13	16	no	—
850	C₂²⋊Q₈	—	13	16	no	—
851	C₂²⋊Q₈	—	13	16	no	—
852	C₂²⋊Q₈	—	13	16	no	—
853	C₂²⋊Q₈	—	13	8	no	—
854	C₂²⋊Q₈	—	13	16	no	—
855	C₂²⋊Q₈	—	13	16	no	—
856	C₂²⋊Q₈	—	13	16	no	—
857	C₂²⋊Q₈	—	13	16	no	—
858	C₂²⋊Q₈	—	13	16	no	—
859	C₂²⋊Q₈	—	13	16	no	—
860	C₂²⋊Q₈	—	13	16	no	—
861	C₂²⋊Q₈	—	13	16	no	—
862	C₂²⋊Q₈	—	13	16	no	—
863	C₂²⋊Q₈	—	13	16	no	—
864	C₂²⋊Q₈	—	13	16	no	—
865	C₂²⋊Q₈	—	13	16	no	—
866	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
867	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
868	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
869	C₄×Q₈	—	13	16	no	—
870	C₄×Q₈	—	13	16	no	—
871	C₄×Q₈	—	13	8	no	—
872	C₄×Q₈	—	13	8	no	—
873	C₄×Q₈	—	13	8	no	—
874	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
875	C₄×D₄	—	13	8	no	—
876	C₄×D₄	—	13	8	no	—
877	C₄×D₄	—	13	8	no	—
878	C₄×D₄	—	13	16	no	—
879	C₄×D₄	—	13	16	no	—
880	C₄×D₄	—	13	16	no	—
881	C₄×D₄	—	13	8	no	—
882	C₄×D₄	—	13	8	no	—
883	C₄×D₄	—	13	8	no	—
884	C₄×D₄	—	13	16	no	—
885	C₄×D₄	—	13	16	no	—
886	C₄×D₄	—	13	16	no	—
887	C₄×D₄	—	13	8	no	—
888	C₄×D₄	—	13	8	no	—
889	C₄×D₄	—	13	8	no	—
890	C₄×D₄	C₂²×D₁₃	1	8	yes	—
891	C₄×D₄	C₂²×D₁₃	1	8	yes	—
892	C₄×D₄	C₂²×D₁₃	1	8	yes	—
893	#117	—	13	8	no	—
894	#117	—	13	8	no	—
895	#117	—	13	8	no	—
896	#117	—	13	8	no	—
897	C₂×C₄⋊C₄	—	13	1	no	—
898	C₂×C₄⋊C₄	—	13	2	no	—
899	C₂×C₄⋊C₄	—	13	1	no	—
900	C₂×C₄⋊C₄	—	13	2	no	—
901	C₂×C₄⋊C₄	—	13	1	no	—
902	C₂×C₄⋊C₄	—	13	1	no	—
903	C₂×C₄⋊C₄	—	13	2	no	—
904	C₂×C₄⋊C₄	—	13	1	no	—
905	C₂×C₄⋊C₄	—	13	2	no	—
906	C₂×C₄⋊C₄	—	13	2	no	—
907	C₂×C₄⋊C₄	—	13	2	no	—
908	C₂×C₄⋊C₄	—	13	2	no	—
909	C₂×C₄⋊C₄	—	13	2	no	—
910	C₂×C₄⋊C₄	—	13	2	no	—
911	C₂×C₄⋊C₄	—	13	2	no	—
912	C₂×C₄⋊C₄	—	13	2	no	—
913	C₂×C₄⋊C₄	—	13	2	no	—
914	C₂×C₄⋊C₄	—	13	16	no	—
915	C₂×C₄⋊C₄	—	13	16	no	—
916	C₂×C₄⋊C₄	—	13	1	no	—
917	C₂×C₄⋊C₄	—	13	1	no	—
918	C₂×C₄⋊C₄	—	13	1	no	—
919	C₂×C₄⋊C₄	—	13	1	no	—
920	C₂×C₄⋊C₄	—	13	1	no	—
921	C₂×C₄⋊C₄	—	13	1	no	—
922	C₂×C₄⋊C₄	—	13	1	no	—
923	C₂×C₄⋊C₄	—	13	1	no	—
924	C₂×C₄⋊C₄	—	13	2	no	—
925	C₂×C₄⋊C₄	—	13	1	no	—
926	C₂×C₄⋊C₄	—	13	1	no	—
927	C₂×C₄⋊C₄	—	13	2	no	—
928	C₂×C₄⋊C₄	—	13	1	no	—
929	C₂×C₄⋊C₄	—	13	8	no	—
930	C₂×C₄⋊C₄	—	13	16	no	—
931	C₂×C₄⋊C₄	—	13	16	no	—
932	C₂×C₄⋊C₄	—	13	16	no	—
933	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
935	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
936	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
937	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
938	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
939	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
940	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
943	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
944	C₂×C₄⋊C₄	C₂²×D₁₃	1	16	yes	complemented
945	C₂×C₂²⋊C₄	—	13	2	no	—
946	C₂×C₂²⋊C₄	—	13	2	no	—
947	C₂×C₂²⋊C₄	—	13	2	no	—
948	C₂×C₂²⋊C₄	—	13	2	no	—
949	C₂×C₂²⋊C₄	—	13	1	no	—
950	C₂×C₂²⋊C₄	—	13	1	no	—
951	C₂×C₂²⋊C₄	—	13	2	no	—
952	C₂×C₂²⋊C₄	—	13	1	no	—
953	C₂×C₂²⋊C₄	—	13	1	no	—
954	C₂×C₂²⋊C₄	—	13	2	no	—
955	C₂×C₂²⋊C₄	—	13	2	no	—
956	C₂×C₂²⋊C₄	—	13	2	no	—
957	C₂×C₂²⋊C₄	—	13	2	no	—
958	C₂×C₂²⋊C₄	—	13	2	no	—
959	C₂×C₂²⋊C₄	—	13	2	no	—
960	C₂×C₂²⋊C₄	—	13	16	no	—
961	C₂×C₂²⋊C₄	—	13	16	no	—
962	C₂×C₂²⋊C₄	—	13	16	no	—
963	C₂×C₂²⋊C₄	—	13	16	no	—
964	C₂×C₂²⋊C₄	—	13	16	no	—
965	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
966	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
967	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
968	C₂×C₄²	—	13	2	no	—
969	C₂×C₄²	—	13	2	no	—
970	C₂×C₄²	—	13	1	no	—
971	C₂×C₄²	—	13	1	no	—
972	C₂×C₄²	—	13	1	no	—
973	C₂×C₄²	—	13	1	no	—
974	C₂×C₄²	—	13	1	no	—
975	C₂×C₄²	—	13	8	no	—
976	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
977	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
978	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
979	C₂×C₁₃	—	2	8	no	—
980	C₂×C₁₃	#3501	1	4	yes	complemented
981	C₂×C₁₃	C₂⁴×Q₈	1	1	yes	characteristic
982	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
983	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
984	D₁₃	—	2	4	no	—
985	D₁₃	—	2	8	no	—
986	C₂⁴	—	13	1	no	—
987	C₂⁴	—	13	2	no	—
988	C₂⁴	—	13	16	no	—
989	C₂⁴	—	13	8	no	—
990	C₂⁴	—	52	4	no	—
991	C₂⁴	—	52	4	no	—
992	C₂⁴	C₂³×D₁₃	1	2	yes	—
993	C₂×Q₈	—	4	4	no	—
994	C₂×Q₈	—	4	2	no	—
995	C₂×Q₈	—	13	8	no	—
996	C₂×Q₈	—	13	4	no	—
997	C₂×Q₈	—	13	4	no	—
998	C₂×Q₈	—	13	8	no	—
999	C₂×Q₈	—	13	4	no	—
1000	C₂×Q₈	—	13	8	no	—
1001	C₂×Q₈	—	13	8	no	—
1002	C₂×Q₈	—	13	8	no	—
1003	C₂×Q₈	—	26	4	no	—
1004	C₂×Q₈	—	26	8	no	—
1005	C₂×Q₈	—	26	4	no	—
1006	C₂×Q₈	—	52	4	no	—
1007	C₂×Q₈	—	52	4	no	—
1008	C₂×Q₈	—	52	4	no	—
1009	C₂×Q₈	—	52	4	no	—
1010	C₂×Q₈	—	52	2	no	—
1011	C₂×Q₈	—	52	32	no	—
1012	C₂×Q₈	—	52	32	no	—
1013	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1014	C₂×Q₈	C₂³×D₁₃	1	8	yes	—
1015	C₂×D₄	—	13	16	no	—
1016	C₂×D₄	—	13	8	no	—
1017	C₂×D₄	—	13	64	no	—
1018	C₂×D₄	—	13	8	no	—
1019	C₂×D₄	—	13	4	no	—
1020	C₂×D₄	Q₈×D₁₃	1	8	yes	complemented
1021	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1022	C₂²×C₄	—	4	4	no	—
1023	C₂²×C₄	—	4	4	no	—
1024	C₂²×C₄	—	4	4	no	—
1025	C₂²×C₄	—	13	1	no	—
1026	C₂²×C₄	—	13	1	no	—
1027	C₂²×C₄	—	13	8	no	—
1028	C₂²×C₄	—	13	4	no	—
1029	C₂²×C₄	—	13	8	no	—
1030	C₂²×C₄	—	13	1	no	—
1031	C₂²×C₄	—	13	1	no	—
1032	C₂²×C₄	—	13	2	no	—
1033	C₂²×C₄	—	13	1	no	—
1034	C₂²×C₄	—	13	1	no	—
1035	C₂²×C₄	—	13	2	no	—
1036	C₂²×C₄	—	13	1	no	—
1037	C₂²×C₄	—	13	2	no	—
1038	C₂²×C₄	—	13	8	no	—
1039	C₂²×C₄	—	13	8	no	—
1040	C₂²×C₄	—	13	4	no	—
1041	C₂²×C₄	—	13	8	no	—
1042	C₂²×C₄	—	13	4	no	—
1043	C₂²×C₄	—	13	8	no	—
1044	C₂²×C₄	—	13	8	no	—
1045	C₂²×C₄	—	13	8	no	—
1046	C₂²×C₄	—	13	8	no	—
1047	C₂²×C₄	—	13	8	no	—
1048	C₂²×C₄	—	13	8	no	—
1049	C₂²×C₄	—	26	4	no	—
1050	C₂²×C₄	—	26	8	no	—
1051	C₂²×C₄	—	26	8	no	—
1052	C₂²×C₄	—	52	4	no	—
1053	C₂²×C₄	—	52	4	no	—
1054	C₂²×C₄	—	52	4	no	—
1055	C₂²×C₄	—	52	4	no	—
1056	C₂²×C₄	—	52	4	no	—
1057	C₂²×C₄	—	52	4	no	—
1058	C₂²×C₄	—	52	2	no	—
1059	C₂²×C₄	—	52	32	no	—
1060	C₂²×C₄	—	52	4	no	—
1061	C₂²×C₄	—	52	4	no	—
1062	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1065	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1066	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1071	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1072	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1073	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1074	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1075	C₄⋊C₄	—	13	4	no	—
1076	C₄⋊C₄	—	13	8	no	—
1077	C₄⋊C₄	—	13	4	no	—
1078	C₄⋊C₄	—	13	8	no	—
1079	C₄⋊C₄	—	13	4	no	—
1080	C₄⋊C₄	—	13	4	no	—
1081	C₄⋊C₄	—	13	8	no	—
1082	C₄⋊C₄	—	13	4	no	—
1083	C₄⋊C₄	—	13	8	no	—
1084	C₄⋊C₄	—	13	8	no	—
1085	C₄⋊C₄	—	13	8	no	—
1086	C₄⋊C₄	—	13	8	no	—
1087	C₄⋊C₄	—	13	8	no	—
1088	C₄⋊C₄	—	13	8	no	—
1089	C₄⋊C₄	—	13	8	no	—
1090	C₄⋊C₄	—	13	8	no	—
1091	C₄⋊C₄	—	13	8	no	—
1092	C₄⋊C₄	—	13	4	no	—
1093	C₄⋊C₄	—	13	4	no	—
1094	C₄⋊C₄	—	13	4	no	—
1095	C₄⋊C₄	—	13	4	no	—
1096	C₄⋊C₄	—	13	4	no	—
1097	C₄⋊C₄	—	13	4	no	—
1098	C₄⋊C₄	—	13	4	no	—
1099	C₄⋊C₄	—	13	4	no	—
1100	C₄⋊C₄	—	13	8	no	—
1101	C₄⋊C₄	—	13	4	no	—
1102	C₄⋊C₄	—	13	4	no	—
1103	C₄⋊C₄	—	13	8	no	—
1104	C₄⋊C₄	—	13	4	no	—
1105	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1106	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1107	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1108	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1109	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1110	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1111	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1112	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1113	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1114	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1115	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1116	C₂²⋊C₄	—	13	8	no	—
1117	C₂²⋊C₄	—	13	8	no	—
1118	C₂²⋊C₄	—	13	8	no	—
1119	C₂²⋊C₄	—	13	8	no	—
1120	C₂²⋊C₄	—	13	4	no	—
1121	C₂²⋊C₄	—	13	4	no	—
1122	C₂²⋊C₄	—	13	8	no	—
1123	C₂²⋊C₄	—	13	4	no	—
1124	C₂²⋊C₄	—	13	4	no	—
1125	C₂²⋊C₄	—	13	8	no	—
1126	C₂²⋊C₄	—	13	8	no	—
1127	C₂²⋊C₄	—	13	8	no	—
1128	C₂²⋊C₄	—	13	8	no	—
1129	C₂²⋊C₄	—	13	8	no	—
1130	C₂²⋊C₄	—	13	8	no	—
1131	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1132	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1133	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1134	C₄²	—	13	4	no	—
1135	C₄²	—	13	4	no	—
1136	C₄²	—	13	4	no	—
1137	C₄²	—	13	8	no	—
1138	C₄²	—	13	8	no	—
1139	C₄²	—	13	4	no	—
1140	C₄²	—	13	4	no	—
1141	C₄²	C₂³×D₁₃	1	4	yes	—
1142	C₄²	C₂³×D₁₃	1	4	yes	—
1143	C₄²	C₂³×D₁₃	1	4	yes	—
1144	C₁₃	C₂×#3501	1	1	yes	characteristic, complemented, Sylow
1145	C₂³	—	2	4	no	—
1146	C₂³	—	2	4	no	—
1147	C₂³	—	13	4	no	—
1148	C₂³	—	13	8	no	—
1149	C₂³	—	13	2	no	—
1150	C₂³	—	13	4	no	—
1151	C₂³	—	13	32	no	—
1152	C₂³	—	26	4	no	—
1153	C₂³	—	26	2	no	—
1154	C₂³	—	26	4	no	—
1155	C₂³	—	26	2	no	—
1156	C₂³	—	52	8	no	—
1157	C₂³	—	52	8	no	—
1158	C₂³	—	52	32	no	—
1159	C₂³	C₂×Q₈×D₁₃	1	8	yes	—
1160	C₂³	C₂⁴×D₁₃	1	4	yes	—
1161	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1162	Q₈	—	4	8	no	—
1163	Q₈	—	4	4	no	—
1164	Q₈	—	26	8	no	—
1165	Q₈	—	26	16	no	—
1166	Q₈	—	26	8	no	—
1167	Q₈	—	52	8	no	—
1168	Q₈	—	52	4	no	—
1169	Q₈	—	52	8	no	—
1170	Q₈	—	52	8	no	—
1171	Q₈	—	52	8	no	—
1172	D₄	—	13	32	no	—
1173	D₄	—	13	16	no	—
1174	D₄	C₂×Q₈×D₁₃	1	16	yes	complemented
1175	C₂×C₄	—	2	2	no	—
1176	C₂×C₄	—	2	4	no	—
1177	C₂×C₄	—	2	2	no	—
1178	C₂×C₄	—	2	2	no	—
1179	C₂×C₄	—	2	2	no	—
1180	C₂×C₄	—	2	2	no	—
1181	C₂×C₄	—	2	4	no	—
1182	C₂×C₄	—	2	4	no	—
1183	C₂×C₄	—	2	2	no	—
1184	C₂×C₄	—	4	8	no	—
1185	C₂×C₄	—	4	8	no	—
1186	C₂×C₄	—	4	8	no	—
1187	C₂×C₄	—	13	4	no	—
1188	C₂×C₄	—	13	4	no	—
1189	C₂×C₄	—	13	2	no	—
1190	C₂×C₄	—	13	2	no	—
1191	C₂×C₄	—	13	16	no	—
1192	C₂×C₄	—	13	2	no	—
1193	C₂×C₄	—	13	2	no	—
1194	C₂×C₄	—	13	4	no	—
1195	C₂×C₄	—	13	2	no	—
1196	C₂×C₄	—	13	2	no	—
1197	C₂×C₄	—	13	4	no	—
1198	C₂×C₄	—	13	2	no	—
1199	C₂×C₄	—	13	4	no	—
1200	C₂×C₄	—	26	8	no	—
1201	C₂×C₄	—	26	16	no	—
1202	C₂×C₄	—	26	16	no	—
1203	C₂×C₄	—	26	2	no	—
1204	C₂×C₄	—	26	4	no	—
1205	C₂×C₄	—	26	2	no	—
1206	C₂×C₄	—	26	2	no	—
1207	C₂×C₄	—	26	4	no	—
1208	C₂×C₄	—	26	2	no	—
1209	C₂×C₄	—	26	4	no	—
1210	C₂×C₄	—	26	2	no	—
1211	C₂×C₄	—	52	8	no	—
1212	C₂×C₄	—	52	8	no	—
1213	C₂×C₄	—	52	4	no	—
1214	C₂×C₄	—	52	8	no	—
1215	C₂×C₄	—	52	8	no	—
1216	C₂×C₄	—	52	8	no	—
1217	C₂×C₄	—	52	8	no	—
1218	C₂×C₄	—	52	8	no	—
1219	C₂×C₄	—	52	8	no	—
1220	C₂×C₄	C₂×Q₈×D₁₃	1	4	yes	—
1221	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1222	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1223	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1224	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1225	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1226	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1227	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1228	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1229	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1230	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1231	C₂²	—	2	4	no	—
1232	C₂²	—	2	4	no	—
1233	C₂²	—	2	16	no	—
1234	C₂²	—	13	4	no	—
1235	C₂²	—	13	8	no	—
1236	C₂²	—	26	4	no	—
1237	C₂²	—	26	2	no	—
1238	C₂²	—	26	4	no	—
1239	C₂²	—	26	2	no	—
1240	C₂²	—	26	16	no	—
1241	C₂²	—	26	8	no	—
1242	C₂²	—	52	32	no	—
1243	C₂²	C₂²×Q₈×D₁₃	1	8	yes	—
1244	C₂²	C₂²×Q₈×D₁₃	1	2	yes	—
1245	C₂²	#11719648	1	2	yes	—
1246	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1247	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1248	C₄	—	2	2	no	—
1249	C₄	—	2	2	no	—
1250	C₄	—	2	4	no	—
1251	C₄	—	2	4	no	—
1252	C₄	—	2	2	no	—
1253	C₄	—	2	2	no	—
1254	C₄	—	2	4	no	—
1255	C₄	—	2	2	no	—
1256	C₄	—	2	2	no	—
1257	C₄	—	13	4	no	—
1258	C₄	—	13	4	no	—
1259	C₄	—	26	4	no	—
1260	C₄	—	26	2	no	—
1261	C₄	—	26	4	no	—
1262	C₄	—	26	2	no	—
1263	C₄	—	26	2	no	—
1264	C₄	—	26	4	no	—
1265	C₄	—	26	2	no	—
1266	C₄	—	26	2	no	—
1267	C₄	C₂²×Q₈×D₁₃	1	4	yes	—
1268	C₂	—	2	8	no	—
1269	C₂	—	26	4	no	—
1270	C₂	—	26	8	no	—
1271	C₂	#13128635	1	4	yes	direct product factor
1272	C₂	C₂³×Q₈×D₁₃	1	1	yes	characteristic
1273	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1274	C₂	C₂×#11719648	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#554	C₂
socle	C₂³×C₁₃	C₂⁵
prime radical	C₂²×D₄×D₁₃	C₂²
hypercenter	C₂×#554	D₁₃
hypocenter	C₁₃	C₂×#3501
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#554

Complements

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

N	H ≅ G/N	type
1. #13128635	C₂	direct (N × H)
2. C₂×#11719284	C₂	semidirect
3. C₂×#11719244	C₂	semidirect
4. C₂×#11719244	C₂	semidirect
5. C₂×#11719395	C₂	semidirect
6. C₂×#11719395	C₂	semidirect
7. C₂×#11719216	C₂	semidirect
8. C₂×#11719341	C₂	semidirect
9. C₂×#11719341	C₂	semidirect
10. C₂×D₄×Dic₂₆	C₂	semidirect
11. C₂×#11719432	C₂	semidirect
12. C₂×#11719337	C₂	semidirect
13. C₂×#11719394	C₂	semidirect
14. C₂×#11719434	C₂	semidirect
15. C₂×#11719339	C₂	semidirect
16. C₂×#11719339	C₂	semidirect
17. C₂×#11719393	C₂	semidirect
18. C₂×#11719283	C₂	semidirect
19. C₂²×#88150	C₂	semidirect
20. C₂×D₁₃×C₂²⋊Q₈	C₂	semidirect
24. C₂×C₁₃×#554	C₂	semidirect
25. C₂²×Q₈×D₁₃	C₂²	semidirect
28. C₂³×Dic₂₆	C₂²	semidirect
29. C₁₃×#554	C₂²	semidirect
30. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
31. C₂×C₁₃×#125	C₂²	semidirect
32. C₂×C₁₃×#125	C₂²	semidirect
33. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
34. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
35. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
36. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
40. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
43. C₂×#88200	C₂²	semidirect
44. C₂×#88200	C₂²	semidirect
45. C₂×#88198	C₂²	semidirect
46. C₂×#88198	C₂²	semidirect
55. C₂×#88178	C₂²	semidirect
56. C₂×#88178	C₂²	semidirect
57. C₂×#88178	C₂²	semidirect
58. C₂²×#6101	C₂²	semidirect
59. C₂²×#6101	C₂²	semidirect
60. #11719434	C₂²	semidirect
61. #11719432	C₂²	semidirect
62. #11719395	C₂²	semidirect
63. #11719395	C₂²	semidirect
64. #11719394	C₂²	semidirect
65. #11719393	C₂²	semidirect
66. #11719341	C₂²	semidirect
67. #11719341	C₂²	semidirect
68. #11719339	C₂²	semidirect
69. #11719339	C₂²	semidirect
70. #11719337	C₂²	semidirect
71. D₁₃×C₂²⋊Q₈	C₂²	semidirect
72. #11719284	C₂²	semidirect
73. #11719283	C₂²	semidirect
77. #11719244	C₂²	semidirect
78. #11719244	C₂²	semidirect
79. D₄×Dic₂₆	C₂²	semidirect
80. #11719216	C₂²	semidirect
83. C₂×#88151	C₂²	semidirect
84. C₂×#88151	C₂²	semidirect
91. C₂×#88150	C₂²	semidirect
92. C₂×#88150	C₂²	semidirect
93. C₂×#88150	C₂²	semidirect
94. C₂×#88150	C₂²	semidirect
95. C₂×#88150	C₂²	semidirect
96. C₂×#88150	C₂²	semidirect
97. C₂×#88150	C₂²	semidirect
98. C₂×#88150	C₂²	semidirect
99. C₂×#88150	C₂²	semidirect
106. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
107. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
108. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
109. C₂×#88144	C₂²	semidirect
110. C₂×#88144	C₂²	semidirect
111. C₂×#88143	C₂²	semidirect
112. C₂×#88143	C₂²	semidirect
113. C₂×#88143	C₂²	semidirect
114. C₂×#88143	C₂²	semidirect
115. C₂×#88142	C₂²	semidirect
116. C₂×#88142	C₂²	semidirect
117. C₂×#88142	C₂²	semidirect
118. C₂×#88142	C₂²	semidirect
119. C₂×#88142	C₂²	semidirect
120. C₂×#88142	C₂²	semidirect
121. C₂×#88141	C₂²	semidirect
122. C₂×#88141	C₂²	semidirect
129. C₂×#88132	C₂²	semidirect
130. C₂×#88132	C₂²	semidirect
131. C₂×#88132	C₂²	semidirect
132. C₂×#88132	C₂²	semidirect
133. C₂×#88132	C₂²	semidirect
134. C₂×#88132	C₂²	semidirect
141. C₂×#88124	C₂²	semidirect
142. C₂×#88124	C₂²	semidirect
143. C₂×#88123	C₂²	semidirect
144. C₂×C₄×Dic₂₆	C₂²	semidirect
145. C₂×C₄×Dic₂₆	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
159. C₂×Q₈×D₁₃	C₂³	semidirect
160. C₂×D₄×D₁₃	Q₈	semidirect
184. C₂²×Dic₂₆	C₂³	semidirect
185. C₁₃×C₄⋊Q₈	C₂³	semidirect
186. C₁₃×#125	C₂³	semidirect
187. C₁₃×#125	C₂³	semidirect
188. C₁₃×C₂²⋊Q₈	C₂³	semidirect
189. C₁₃×C₂²⋊Q₈	C₂³	semidirect
190. C₁₃×C₂²⋊Q₈	C₂³	semidirect
191. C₄×Q₈×C₁₃	C₂³	semidirect
206. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
218. #88200	C₂³	semidirect
219. #88200	C₂³	semidirect
220. #88198	C₂³	semidirect
221. #88198	C₂³	semidirect
251. #88178	C₂³	semidirect
252. #88178	C₂³	semidirect
253. #88178	C₂³	semidirect
275. C₂×#6101	C₂³	semidirect
276. C₂×#6101	C₂³	semidirect
286. #88151	C₂³	semidirect
287. #88151	C₂³	semidirect
294. #88150	C₂³	semidirect
295. #88150	C₂³	semidirect
296. #88150	C₂³	semidirect
297. #88150	C₂³	semidirect
298. #88150	C₂³	semidirect
299. #88150	C₂³	semidirect
300. #88150	C₂³	semidirect
301. #88150	C₂³	semidirect
308. C₄⋊C₄×D₁₃	C₂³	semidirect
309. C₄⋊C₄×D₁₃	C₂³	semidirect
310. C₄⋊C₄×D₁₃	C₂³	semidirect
311. #88144	C₂³	semidirect
312. #88144	C₂³	semidirect
313. #88143	C₂³	semidirect
314. #88143	C₂³	semidirect
315. #88143	C₂³	semidirect
316. #88143	C₂³	semidirect
317. #88142	C₂³	semidirect
318. #88142	C₂³	semidirect
319. #88142	C₂³	semidirect
320. #88142	C₂³	semidirect
321. #88142	C₂³	semidirect
322. #88142	C₂³	semidirect
323. #88141	C₂³	semidirect
324. #88141	C₂³	semidirect
331. #88132	C₂³	semidirect
332. #88132	C₂³	semidirect
333. #88132	C₂³	semidirect
334. #88132	C₂³	semidirect
335. #88132	C₂³	semidirect
336. #88132	C₂³	semidirect
343. #88124	C₂³	semidirect
344. #88124	C₂³	semidirect
345. #88123	C₂³	semidirect
346. C₄×Dic₂₆	C₂³	semidirect
347. C₄×Dic₂₆	C₂³	semidirect
348. C₄×Dic₂₆	C₂³	semidirect
353. C₂³×D₁₃	C₂×Q₈	semidirect
361. C₂×D₄×C₁₃	C₂×Q₈	semidirect
379. C₂×C₂²⋊D₁₃	C₂×Q₈	semidirect
398. D₄×D₁₃	C₂×Q₈	semidirect
399. C₂×D₅₂	C₂×Q₈	semidirect
411. C₂×C₄×D₁₃	C₂×Q₈	semidirect
517. C₂×#554	D₁₃	semidirect
546. C₂²×D₁₃	C₂²×Q₈	semidirect
551. D₄×C₁₃	C₂²×Q₈	semidirect
575. C₂²⋊D₁₃	C₂²×Q₈	semidirect
599. D₅₂	C₂²×Q₈	semidirect
609. C₄×D₁₃	C₂²×Q₈	semidirect
630. #554	C₂×D₁₃	semidirect
649. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
658. C₂×#125	C₂×D₁₃	semidirect
659. C₂×#125	C₂×D₁₃	semidirect
693. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
694. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
695. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
703. C₂×C₄×Q₈	C₂×D₁₃	semidirect
733. C₂²×C₄⋊C₄	C₂×D₁₃	semidirect
824. C₄⋊Q₈	C₂²×D₁₃	semidirect
833. #125	C₂²×D₁₃	semidirect
834. #125	C₂²×D₁₃	semidirect
866. C₂²⋊Q₈	C₂²×D₁₃	semidirect
867. C₂²⋊Q₈	C₂²×D₁₃	semidirect
868. C₂²⋊Q₈	C₂²×D₁₃	semidirect
874. C₄×Q₈	C₂²×D₁₃	semidirect
944. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
980. C₂×C₁₃	#3501	semidirect
1020. C₂×D₄	Q₈×D₁₃	semidirect
1144. C₁₃	C₂×#3501	semidirect
1174. D₄	C₂×Q₈×D₁₃	semidirect
1271. C₂	#13128635	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128635	2
C₂×#11719284	2
C₂×#11719244	2
C₂×#11719395	2
C₂×#11719216	2
C₂×#11719341	2
C₂×D₄×Dic₂₆	2
C₂×#11719432	2
C₂×#11719337	2
C₂×#11719394	2
C₂×#11719434	2
C₂×#11719339	2
C₂×#11719393	2
C₂×#11719283	2
C₂²×#88150	2
C₂×D₁₃×C₂²⋊Q₈	2
C₂×#11719250	2
C₂×C₄×D₄×D₁₃	2
C₂×C₁₃×#554	2
C₂×#3501	13

Subgroups — C2×#13128635 #16770820

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128635 #16770820