Subgroups — C₂×#13128899 #16771052

Order 3328.

7314 conjugacy classes of subgroups.

The subgroup lattice has 1292 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128899	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719247	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719238	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719395	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719319	C₂	1	2	yes	maximal, complemented
6	C₂×#11719413	C₂	1	2	yes	maximal, complemented
7	C₂×#11719218	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719261	C₂	1	2	yes	maximal, complemented
9	C₂×#11719363	C₂	1	2	yes	maximal, complemented
10	C₂×#11719256	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719317	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719317	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719308	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719402	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719365	C₂	1	2	yes	maximal, complemented
16	C₂×#11719318	C₂	1	2	yes	maximal, complemented
17	C₂×#11719262	C₂	1	2	yes	maximal, complemented
18	C₂×#11719305	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719243	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×D₁₃×#126	C₂	1	2	yes	maximal, complemented
21	C₂×#11719209	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719250	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#11719227	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
26	C₂²×#6127	C₂²	1	1	yes	characteristic
27	C₂²×#6127	C₂²	1	1	yes	characteristic
28	C₁₃×#553	C₂²	1	16	yes	complemented
29	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
30	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
32	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
34	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
35	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
36	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
38	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
39	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88193	C₂²	1	1	yes	characteristic
41	C₂×#88192	C₂²	1	2	yes	—
42	C₂×#88192	C₂²	1	2	yes	—
43	C₂×#88192	C₂²	1	2	yes	complemented
44	C₂×#88191	C₂²	1	2	yes	—
45	C₂×#88191	C₂²	1	2	yes	—
46	C₂×#88190	C₂²	1	1	yes	characteristic
47	C₂×#88190	C₂²	1	1	yes	characteristic
48	C₂×#88190	C₂²	1	2	yes	complemented
49	C₂×#88189	C₂²	1	2	yes	complemented
50	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
51	C₂×#88189	C₂²	1	2	yes	complemented
52	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
53	C₂×D₄×Dic₁₃	C₂²	1	2	yes	complemented
54	C₂×#88183	C₂²	1	2	yes	—
55	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	—
56	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
57	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
58	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
59	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
60	C₂²×#6103	C₂²	1	2	yes	—
61	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88180	C₂²	1	2	yes	complemented
63	C₂×#88180	C₂²	1	2	yes	complemented
64	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
65	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
66	C₂×#88178	C₂²	1	2	yes	complemented
67	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
68	#11719413	C₂²	1	32	yes	complemented
69	D₁₃×#126	C₂²	1	32	yes	complemented
70	#11719402	C₂²	1	16	yes	complemented
71	#11719395	C₂²	1	16	yes	complemented
72	#11719365	C₂²	1	32	yes	complemented
73	#11719363	C₂²	1	32	yes	complemented
74	#11719319	C₂²	1	32	yes	complemented
75	#11719318	C₂²	1	32	yes	complemented
76	#11719317	C₂²	1	16	yes	complemented
77	#11719317	C₂²	1	16	yes	complemented
78	#11719308	C₂²	1	16	yes	complemented
79	#11719305	C₂²	1	16	yes	complemented
80	#11719262	C₂²	1	32	yes	complemented
81	#11719261	C₂²	1	32	yes	complemented
82	#11719256	C₂²	1	16	yes	complemented
83	#11719250	C₂²	1	16	yes	complemented
84	#11719247	C₂²	1	16	yes	complemented
85	#11719243	C₂²	1	16	yes	complemented
86	#11719238	C₂²	1	16	yes	complemented
87	#11719227	C₂²	1	16	yes	complemented
88	#11719218	C₂²	1	16	yes	complemented
89	C₂×#88152	C₂²	1	2	yes	—
90	C₂×#88152	C₂²	1	2	yes	—
91	C₂×#88152	C₂²	1	2	yes	—
92	C₂×#88152	C₂²	1	1	yes	characteristic
93	C₂×#88151	C₂²	1	1	yes	characteristic
94	C₂×#88151	C₂²	1	1	yes	characteristic
95	C₂×#88151	C₂²	1	2	yes	complemented
96	C₂×#88150	C₂²	1	2	yes	complemented
97	C₂×#88150	C₂²	1	2	yes	complemented
98	#11719209	C₂²	1	16	yes	complemented
99	C₂×#88147	C₂²	1	1	yes	characteristic
100	C₂×#88147	C₂²	1	1	yes	characteristic
101	C₂×#88147	C₂²	1	1	yes	characteristic
102	C₂×#88146	C₂²	1	1	yes	characteristic
103	C₂×#88146	C₂²	1	2	yes	complemented
104	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
105	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
106	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
107	C₂×#88144	C₂²	1	2	yes	complemented
108	C₂×#88144	C₂²	1	2	yes	complemented
109	C₂×#88144	C₂²	1	1	yes	characteristic, complemented
110	C₂×#88143	C₂²	1	2	yes	complemented
111	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
112	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
114	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
115	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
116	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
117	C₂×#88140	C₂²	1	1	yes	characteristic
118	C₂×#88139	C₂²	1	2	yes	—
119	C₂×#88139	C₂²	1	1	yes	characteristic
120	C₂×#88137	C₂²	1	2	yes	—
121	C₂×#88137	C₂²	1	2	yes	—
122	C₂×#88137	C₂²	1	2	yes	complemented
123	C₂×#88137	C₂²	1	2	yes	complemented
124	C₂×#88135	C₂²	1	2	yes	—
125	C₂×#88135	C₂²	1	2	yes	complemented
126	C₂×#88135	C₂²	1	2	yes	complemented
127	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
128	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
129	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	—
130	C₂×#88133	C₂²	1	2	yes	complemented
131	C₂×#88133	C₂²	1	2	yes	complemented
132	C₂×#88133	C₂²	1	2	yes	complemented
133	C₂×#88133	C₂²	1	2	yes	complemented
134	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
135	C₂×#88133	C₂²	1	2	yes	complemented
136	C₂×#88132	C₂²	1	2	yes	complemented
137	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
138	C₂×#88131	C₂²	1	2	yes	complemented
139	C₂×#88130	C₂²	1	2	yes	—
140	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
141	C₂×#88126	C₂²	1	1	yes	characteristic
142	C₂×#88126	C₂²	1	2	yes	complemented
143	C₂×C₄²×D₁₃	C₂²	1	2	yes	complemented
144	C₂×#88123	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×Dic₂₆	C₂²	1	2	yes	complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
149	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
150	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
151	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
155	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
160	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
161	C₂³×Dic₁₃	C₂³	1	2	yes	—
162	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
163	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
164	C₂×D₄×D₁₃	—	2	8	no	—
165	C₂×D₄×D₁₃	C₂³	1	8	yes	—
166	C₂×#6127	—	2	8	no	—
167	C₂×#6127	—	2	8	no	—
168	C₂×#6127	C₂³	1	8	yes	—
169	C₂×#6127	C₂³	1	8	yes	—
170	C₂²×D₅₂	C₂³	1	1	yes	characteristic
171	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
172	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
173	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
174	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
175	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
176	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
177	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
178	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
179	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
180	C₂²×Dic₂₆	C₂³	1	2	yes	—
181	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
182	C₁₃×#126	C₂³	1	16	yes	complemented
183	C₁₃×#125	C₂³	1	8	yes	complemented
184	C₁₃×#123	C₂³	1	16	yes	complemented
185	C₁₃×#121	C₂³	1	8	yes	—
186	C₁₃×#121	C₂³	1	8	yes	—
187	C₁₃×#121	C₂³	1	16	yes	complemented
188	C₄×D₄×C₁₃	C₂³	1	8	yes	—
189	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
190	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
191	C₁₃×#117	C₂³	1	8	yes	complemented
192	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
193	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
194	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
198	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	complemented
200	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
201	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
202	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
204	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
205	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
208	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
209	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
211	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
212	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
213	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
214	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
215	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
218	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
219	#88193	C₂³	1	8	yes	—
220	#88192	C₂³	1	16	yes	—
221	#88192	C₂³	1	16	yes	—
222	#88192	C₂³	1	16	yes	complemented
223	#88191	C₂³	1	16	yes	—
224	#88191	C₂³	1	16	yes	—
225	#88190	C₂³	1	8	yes	—
226	#88190	C₂³	1	8	yes	—
227	#88190	C₂³	1	16	yes	complemented
228	#88189	C₂³	1	8	yes	complemented
229	#88189	C₂³	1	16	yes	complemented
230	#88189	C₂³	1	16	yes	complemented
231	D₄×Dic₁₃	C₂³	1	8	yes	—
232	D₄×Dic₁₃	C₂³	1	16	yes	complemented
233	#88183	C₂³	1	16	yes	—
234	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
235	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
236	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	—
237	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
238	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
239	C₂×#6103	C₂³	1	1	yes	characteristic
240	C₂×#6103	C₂³	1	1	yes	characteristic
241	C₂×#6103	C₂³	1	2	yes	—
242	C₂×#6103	C₂³	1	2	yes	—
243	C₂×#6103	C₂³	1	2	yes	—
244	C₂×#6103	C₂³	1	1	yes	characteristic
245	C₂×#6103	C₂³	1	2	yes	—
246	C₂×#6103	C₂³	1	2	yes	—
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	2	yes	—
249	C₂×#6103	C₂³	1	2	yes	—
250	C₂×#6103	C₂³	1	16	yes	—
251	#88180	C₂³	1	8	yes	complemented
252	#88180	C₂³	1	16	yes	complemented
253	#88180	C₂³	1	16	yes	complemented
254	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
255	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
257	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
258	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
262	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
263	#88178	C₂³	1	8	yes	complemented
264	#88178	C₂³	1	8	yes	complemented
265	#88178	C₂³	1	16	yes	complemented
266	C₂×#6101	C₂³	1	1	yes	characteristic
267	C₂×#6101	C₂³	1	2	yes	—
268	C₂×#6101	C₂³	1	1	yes	characteristic
269	C₂×#6101	C₂³	1	1	yes	characteristic
270	C₂×#6101	C₂³	1	1	yes	characteristic
271	C₂×#6101	C₂³	1	1	yes	characteristic
272	C₂×#6101	C₂³	1	2	yes	—
273	C₂×#6101	C₂³	1	2	yes	—
274	C₂×#6101	C₂³	1	2	yes	—
275	C₂×#6101	C₂³	1	2	yes	—
276	C₂×#6101	C₂³	1	2	yes	—
277	C₂×#6101	C₂³	1	2	yes	—
278	C₂×#6101	C₂³	1	1	yes	characteristic
279	C₂×#6101	C₂³	1	2	yes	—
280	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
281	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
286	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
287	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
290	C₂×C₄×Dic₁₃	C₂³	1	8	yes	complemented
291	#88152	C₂³	1	16	yes	—
292	#88152	C₂³	1	8	yes	—
293	#88152	C₂³	1	16	yes	—
294	#88152	C₂³	1	16	yes	—
295	#88151	C₂³	1	8	yes	—
296	#88151	C₂³	1	8	yes	—
297	#88151	C₂³	1	16	yes	complemented
298	#88150	C₂³	1	16	yes	complemented
299	#88150	C₂³	1	16	yes	complemented
300	#88147	C₂³	1	8	yes	—
301	#88147	C₂³	1	8	yes	—
302	#88147	C₂³	1	8	yes	—
303	#88146	C₂³	1	8	yes	—
304	#88146	C₂³	1	16	yes	complemented
305	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
306	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
307	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
308	#88144	C₂³	1	8	yes	complemented
309	#88144	C₂³	1	16	yes	complemented
310	#88144	C₂³	1	16	yes	complemented
311	#88143	C₂³	1	16	yes	complemented
312	#88143	C₂³	1	8	yes	complemented
313	#88142	C₂³	1	8	yes	complemented
314	#88141	C₂³	1	8	yes	complemented
315	#88141	C₂³	1	8	yes	complemented
316	#88141	C₂³	1	8	yes	complemented
317	#88141	C₂³	1	8	yes	complemented
318	#88140	C₂³	1	8	yes	—
319	#88139	C₂³	1	16	yes	—
320	#88139	C₂³	1	8	yes	—
321	#88137	C₂³	1	16	yes	—
322	#88137	C₂³	1	16	yes	—
323	#88137	C₂³	1	16	yes	complemented
324	#88137	C₂³	1	16	yes	complemented
325	#88135	C₂³	1	16	yes	—
326	#88135	C₂³	1	16	yes	complemented
327	#88135	C₂³	1	16	yes	complemented
328	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
329	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
330	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	—
331	#88133	C₂³	1	16	yes	complemented
332	#88133	C₂³	1	8	yes	complemented
333	#88133	C₂³	1	16	yes	complemented
334	#88133	C₂³	1	16	yes	complemented
335	#88133	C₂³	1	16	yes	complemented
336	#88133	C₂³	1	16	yes	complemented
337	#88132	C₂³	1	8	yes	complemented
338	#88132	C₂³	1	16	yes	complemented
339	#88131	C₂³	1	16	yes	complemented
340	#88130	C₂³	1	16	yes	—
341	C₄×D₅₂	C₂³	1	8	yes	—
342	#88126	C₂³	1	8	yes	—
343	#88126	C₂³	1	16	yes	complemented
344	C₄²×D₁₃	C₂³	1	16	yes	complemented
345	#88123	C₂³	1	8	yes	complemented
346	C₄×Dic₂₆	C₂³	1	16	yes	complemented
347	C₄×Dic₂₆	C₂³	1	8	yes	complemented
348	C₂×#3521	—	13	1	no	maximal, Sylow
349	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
350	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
351	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
352	C₂³×D₁₃	—	2	8	no	—
353	C₂³×D₁₃	—	4	4	no	—
354	C₂³×D₁₃	—	4	4	no	—
355	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
356	C₂³×D₁₃	C₂⁴	1	2	yes	—
357	C₂³×D₁₃	C₂⁴	1	8	yes	—
358	C₂×D₄×C₁₃	—	2	4	no	—
359	C₂×D₄×C₁₃	—	4	4	no	—
360	C₂×D₄×C₁₃	—	4	2	no	—
361	C₂×D₄×C₁₃	—	4	4	no	—
362	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
363	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
364	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
365	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
366	C₂²×C₄×C₁₃	—	2	4	no	—
367	C₂²×C₄×C₁₃	—	2	4	no	—
368	C₂²×C₄×C₁₃	—	4	4	no	—
369	C₂²×C₄×C₁₃	—	4	4	no	—
370	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
373	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
374	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
379	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
380	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂×C₂²⋊D₁₃	—	2	8	no	—
383	C₂×C₂²⋊D₁₃	—	2	8	no	—
384	C₂×C₂²⋊D₁₃	—	2	8	no	—
385	C₂×C₂²⋊D₁₃	—	4	2	no	—
386	C₂×C₂²⋊D₁₃	—	4	2	no	—
387	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
388	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
389	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
390	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
391	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
392	C₂²×Dic₁₃	—	4	4	no	—
393	C₂²×Dic₁₃	—	4	2	no	—
394	C₂²×Dic₁₃	—	4	2	no	—
395	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
396	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
402	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
403	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
405	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
406	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
407	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
408	D₄×D₁₃	—	2	32	no	—
409	#6127	—	2	32	no	—
410	#6127	—	2	32	no	—
411	C₂×D₅₂	#41	1	8	yes	—
412	C₂×D₅₂	C₂⁴	1	4	yes	—
413	C₂×C₄×D₁₃	—	2	8	no	—
414	C₂×C₄×D₁₃	—	2	8	no	—
415	C₂×C₄×D₁₃	—	2	4	no	—
416	C₂×C₄×D₁₃	—	4	4	no	—
417	C₂×C₄×D₁₃	—	4	4	no	—
418	C₂×C₄×D₁₃	—	4	4	no	—
419	C₂×C₄×D₁₃	—	4	4	no	—
420	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
421	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
422	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
423	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
424	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
425	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
426	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
427	C₂×Dic₂₆	—	2	4	no	—
428	C₂×Dic₂₆	—	2	4	no	—
429	C₂×Dic₂₆	—	4	4	no	—
430	C₂×Dic₂₆	—	4	2	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	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
436	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
437	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
438	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
439	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
440	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
441	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
442	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
443	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
444	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
445	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
446	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
447	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
448	C₄²×C₁₃	C₂⁴	1	4	yes	—
449	C₄²×C₁₃	C₂⁴	1	8	yes	—
450	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
451	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
452	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
453	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
454	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
455	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
456	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
457	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
458	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
459	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
460	C₂²⋊Dic₁₃	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	4	yes	—
467	#6103	C₂⁴	1	8	yes	—
468	#6103	C₂⁴	1	8	yes	—
469	#6103	C₂⁴	1	4	yes	—
470	#6103	C₂⁴	1	8	yes	—
471	#6103	C₂⁴	1	8	yes	—
472	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
473	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
474	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
475	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
476	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
477	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
478	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
479	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
480	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
481	#6101	C₂⁴	1	4	yes	—
482	#6101	C₂⁴	1	8	yes	—
483	#6101	C₂⁴	1	4	yes	—
484	#6101	C₂⁴	1	4	yes	—
485	#6101	C₂⁴	1	4	yes	—
486	#6101	C₂⁴	1	4	yes	—
487	#6101	C₂⁴	1	8	yes	—
488	#6101	C₂⁴	1	8	yes	—
489	#6101	C₂⁴	1	8	yes	—
490	#6101	C₂⁴	1	8	yes	—
491	#6101	C₂⁴	1	8	yes	—
492	#6101	C₂⁴	1	8	yes	—
493	#6101	C₂⁴	1	4	yes	—
494	#6101	C₂⁴	1	8	yes	—
495	C₄×Dic₁₃	C₂⁴	1	8	yes	—
496	C₄×Dic₁₃	C₂⁴	1	8	yes	—
497	C₄×Dic₁₃	C₂⁴	1	4	yes	—
498	C₄×Dic₁₃	C₂⁴	1	4	yes	—
499	C₄×Dic₁₃	C₂⁴	1	4	yes	—
500	C₄×Dic₁₃	C₂⁴	1	8	yes	—
501	C₄×Dic₁₃	C₂⁴	1	8	yes	—
502	C₄×Dic₁₃	C₂⁴	1	4	yes	—
503	C₄×Dic₁₃	C₂⁴	1	4	yes	—
504	C₄×Dic₁₃	C₂⁴	1	8	yes	—
505	#3521	—	13	32	no	—
506	C₂×#556	—	13	1	no	—
507	C₂×#556	—	13	1	no	—
508	C₂×#554	—	13	1	no	—
509	C₂×#553	—	13	2	no	—
510	C₂×#553	D₁₃	1	1	yes	characteristic, complemented
511	C₂×#552	—	13	2	no	—
512	C₂×#552	—	13	1	no	—
513	C₂×#551	—	13	2	no	—
514	C₂×#551	—	13	2	no	—
515	C₂×#547	—	13	1	no	—
516	C₂×#546	—	13	1	no	—
517	C₂×#546	—	13	1	no	—
518	C₂×#542	—	13	1	no	—
519	C₂×#541	—	13	1	no	—
520	C₂×#539	—	13	2	no	—
521	C₂×#538	—	13	2	no	—
522	C₂×#529	—	13	1	no	—
523	C₂×#529	—	13	1	no	—
524	C₂×#529	—	13	2	no	—
525	C₂²×#126	—	13	2	no	—
526	C₂×#520	—	13	1	no	—
527	C₂×#518	—	13	1	no	—
528	C₂×C₄×#41	—	13	1	no	—
529	C₂³×C₁₃	—	2	2	no	—
530	C₂³×C₁₃	—	2	2	no	—
531	C₂³×C₁₃	—	2	4	no	—
532	C₂³×C₁₃	—	2	2	no	—
533	C₂³×C₁₃	—	2	2	no	—
534	C₂³×C₁₃	—	2	4	no	—
535	C₂³×C₁₃	—	2	2	no	—
536	C₂³×C₁₃	—	2	4	no	—
537	C₂³×C₁₃	—	2	2	no	—
538	C₂³×C₁₃	C₂⁵	1	4	yes	—
539	C₂³×C₁₃	C₂⁵	1	2	yes	—
540	C₂³×C₁₃	C₂⁵	1	2	yes	—
541	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
542	C₂²×D₁₃	—	2	4	no	—
543	C₂²×D₁₃	—	2	4	no	—
544	C₂²×D₁₃	—	2	2	no	—
545	C₂²×D₁₃	—	2	2	no	—
546	C₂²×D₁₃	—	2	2	no	—
547	C₂²×D₁₃	—	2	16	no	—
548	C₂²×D₁₃	—	4	8	no	—
549	C₂²×D₁₃	—	4	8	no	—
550	C₂²×D₁₃	—	8	16	no	—
551	C₂²×D₁₃	C₂×#41	1	8	yes	—
552	C₂²×D₁₃	C₂⁵	1	2	yes	—
553	C₂²×D₁₃	C₂⁵	1	4	yes	—
554	D₄×C₁₃	—	2	8	no	—
555	D₄×C₁₃	—	4	8	no	—
556	D₄×C₁₃	—	4	4	no	—
557	D₄×C₁₃	—	4	8	no	—
558	C₂×C₄×C₁₃	—	2	2	no	—
559	C₂×C₄×C₁₃	—	2	2	no	—
560	C₂×C₄×C₁₃	—	2	4	no	—
561	C₂×C₄×C₁₃	—	2	2	no	—
562	C₂×C₄×C₁₃	—	2	2	no	—
563	C₂×C₄×C₁₃	—	2	4	no	—
564	C₂×C₄×C₁₃	—	2	4	no	—
565	C₂×C₄×C₁₃	—	2	8	no	—
566	C₂×C₄×C₁₃	—	2	8	no	—
567	C₂×C₄×C₁₃	—	4	8	no	—
568	C₂×C₄×C₁₃	—	4	8	no	—
569	C₂×C₄×C₁₃	C₂×#41	1	4	yes	—
570	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
571	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
572	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
573	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
574	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
575	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
576	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
577	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
578	C₂²⋊D₁₃	—	2	16	no	—
579	C₂²⋊D₁₃	—	2	16	no	—
580	C₂²⋊D₁₃	—	2	16	no	—
581	C₂²⋊D₁₃	—	4	4	no	—
582	C₂²⋊D₁₃	—	4	4	no	—
583	C₂×Dic₁₃	—	2	4	no	—
584	C₂×Dic₁₃	—	2	4	no	—
585	C₂×Dic₁₃	—	2	2	no	—
586	C₂×Dic₁₃	—	2	2	no	—
587	C₂×Dic₁₃	—	2	2	no	—
588	C₂×Dic₁₃	—	2	4	no	—
589	C₂×Dic₁₃	—	2	2	no	—
590	C₂×Dic₁₃	—	2	2	no	—
591	C₂×Dic₁₃	—	2	2	no	—
592	C₂×Dic₁₃	—	2	2	no	—
593	C₂×Dic₁₃	—	4	8	no	—
594	C₂×Dic₁₃	—	4	4	no	—
595	C₂×Dic₁₃	—	4	4	no	—
596	C₂×Dic₁₃	C₂⁵	1	2	yes	—
597	C₂×Dic₁₃	C₂⁵	1	2	yes	—
598	C₂×Dic₁₃	C₂⁵	1	2	yes	—
599	C₂×Dic₁₃	C₂⁵	1	2	yes	—
600	C₂×Dic₁₃	C₂⁵	1	2	yes	—
601	C₂×Dic₁₃	C₂⁵	1	2	yes	—
602	C₂×Dic₁₃	C₂⁵	1	4	yes	—
603	C₂×Dic₁₃	C₂⁵	1	4	yes	—
604	C₂×Dic₁₃	C₂⁵	1	2	yes	—
605	C₂×Dic₁₃	C₂⁵	1	4	yes	—
606	D₅₂	C₂×#41	1	16	yes	—
607	C₄×D₁₃	—	2	16	no	—
608	C₄×D₁₃	—	2	16	no	—
609	C₄×D₁₃	—	2	8	no	—
610	C₄×D₁₃	—	4	8	no	—
611	C₄×D₁₃	—	4	8	no	—
612	C₄×D₁₃	—	4	8	no	—
613	C₄×D₁₃	—	4	8	no	—
614	Dic₂₆	—	2	8	no	—
615	Dic₂₆	—	2	8	no	—
616	Dic₂₆	—	4	8	no	—
617	Dic₂₆	—	4	4	no	—
618	C₂²×#41	—	13	1	no	—
619	C₂²×#41	—	13	1	no	—
620	C₂³×D₄	—	13	1	no	—
621	#556	—	13	16	no	—
622	#556	—	13	16	no	—
623	#554	—	13	16	no	—
624	#553	—	13	32	no	—
625	#553	C₂×D₁₃	1	16	yes	complemented
626	#552	—	13	32	no	—
627	#552	—	13	16	no	—
628	#551	—	13	32	no	—
629	#551	—	13	32	no	—
630	#547	—	13	16	no	—
631	#546	—	13	16	no	—
632	#546	—	13	16	no	—
633	#542	—	13	16	no	—
634	#541	—	13	16	no	—
635	#539	—	13	32	no	—
636	#538	—	13	32	no	—
637	C₂×C₄⋊Q₈	—	13	1	no	—
638	C₂×C₄⋊Q₈	—	13	1	no	—
639	#529	—	13	16	no	—
640	#529	—	13	16	no	—
641	#529	—	13	32	no	—
642	C₂×#126	—	13	32	no	—
643	C₂×#126	—	13	1	no	—
644	C₂×#126	—	13	2	no	—
645	C₂×#126	—	13	2	no	—
646	C₂×#126	—	13	2	no	—
647	C₂×#126	—	13	2	no	—
648	C₂×#126	—	13	2	no	—
649	C₂×#126	—	13	2	no	—
650	C₂×#126	—	13	1	no	—
651	C₂×#126	—	13	2	no	—
652	C₂×#126	—	13	2	no	—
653	C₂×#126	—	13	2	no	—
654	C₂×#126	C₂×D₁₃	1	2	yes	complemented
655	C₂×#125	—	13	1	no	—
656	C₂×#125	—	13	2	no	—
657	C₂×#125	—	13	2	no	—
658	C₂×#125	—	13	1	no	—
659	C₂×#125	—	13	2	no	—
660	C₂×#125	C₂×D₁₃	1	1	yes	characteristic, complemented
661	C₂×#124	—	13	1	no	—
662	C₂×#124	—	13	1	no	—
663	C₂×#124	—	13	2	no	—
664	C₂×#124	—	13	1	no	—
665	C₂×#124	—	13	2	no	—
666	C₂×#123	—	13	2	no	—
667	C₂×#123	—	13	1	no	—
668	C₂×#123	—	13	2	no	—
669	C₂×#123	—	13	2	no	—
670	C₂×#123	—	13	2	no	—
671	C₂×#123	—	13	2	no	—
672	C₂×#123	—	13	2	no	—
673	C₂×#123	—	13	2	no	—
674	C₂×#123	—	13	1	no	—
675	C₂×#123	C₂×D₁₃	1	2	yes	complemented
676	C₂×C₂²⋊Q₈	—	13	1	no	—
677	C₂×C₂²⋊Q₈	—	13	2	no	—
678	C₂×C₂²⋊Q₈	—	13	1	no	—
679	C₂×C₂²⋊Q₈	—	13	2	no	—
680	C₂×C₂²⋊Q₈	—	13	2	no	—
681	C₂×C₂²⋊Q₈	—	13	1	no	—
682	C₂×C₂²⋊Q₈	—	13	1	no	—
683	C₂×C₂²⋊Q₈	—	13	2	no	—
684	C₂×C₂²⋊Q₈	—	13	1	no	—
685	C₂×C₂²⋊Q₈	—	13	2	no	—
686	C₂×#121	—	13	2	no	—
687	C₂×#121	—	13	2	no	—
688	C₂×#121	—	13	2	no	—
689	C₂×#121	—	13	1	no	—
690	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
691	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
692	C₂×#121	C₂×D₁₃	1	2	yes	complemented
693	C₂×#120	—	13	2	no	—
694	C₂×#120	—	13	2	no	—
695	#520	—	13	16	no	—
696	#518	—	13	16	no	—
697	C₄×#41	—	13	16	no	—
698	C₂×C₄×Q₈	—	13	1	no	—
699	C₂×C₄×Q₈	—	13	1	no	—
700	C₂×C₄×Q₈	—	13	1	no	—
701	C₂×C₄×Q₈	—	13	1	no	—
702	C₂×C₄×Q₈	—	13	2	no	—
703	C₂×C₄×Q₈	—	13	1	no	—
704	C₂×C₄×D₄	—	13	1	no	—
705	C₂×C₄×D₄	—	13	2	no	—
706	C₂×C₄×D₄	—	13	2	no	—
707	C₂×C₄×D₄	—	13	1	no	—
708	C₂×C₄×D₄	—	13	1	no	—
709	C₂×C₄×D₄	—	13	2	no	—
710	C₂×C₄×D₄	—	13	2	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	C₂×D₁₃	1	1	yes	characteristic
719	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
720	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
721	C₂×#117	—	13	1	no	—
722	C₂×#117	—	13	2	no	—
723	C₂×#117	—	13	2	no	—
724	C₂×#117	—	13	1	no	—
725	C₂×#117	—	13	2	no	—
726	C₂×#117	—	13	2	no	—
727	C₂×#117	—	13	1	no	—
728	C₂×#117	—	13	2	no	—
729	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
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	1	yes	characteristic, 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×C₄²	—	13	1	no	—
739	C₂²×C₄²	—	13	2	no	—
740	C₂²×C₁₃	—	2	2	no	—
741	C₂²×C₁₃	—	2	2	no	—
742	C₂²×C₁₃	—	2	4	no	—
743	C₂²×C₁₃	—	2	2	no	—
744	C₂²×C₁₃	—	2	2	no	—
745	C₂²×C₁₃	—	2	4	no	—
746	C₂²×C₁₃	—	2	2	no	—
747	C₂²×C₁₃	—	2	4	no	—
748	C₂²×C₁₃	—	2	2	no	—
749	C₂²×C₁₃	—	4	8	no	—
750	C₂²×C₁₃	—	4	4	no	—
751	C₂²×C₁₃	—	4	4	no	—
752	C₂²×C₁₃	C₂²×#41	1	2	yes	—
753	C₂²×C₁₃	#585	1	2	yes	—
754	C₂²×C₁₃	#585	1	2	yes	—
755	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
756	C₂×D₁₃	—	2	4	no	—
757	C₂×D₁₃	—	2	4	no	—
758	C₂×D₁₃	—	2	16	no	—
759	C₂×D₁₃	—	2	2	no	—
760	C₂×D₁₃	—	2	2	no	—
761	C₂×D₁₃	—	2	2	no	—
762	C₂×D₁₃	—	4	4	no	—
763	C₂×D₁₃	—	8	16	no	—
764	C₂×D₁₃	C₂²×#41	1	8	yes	—
765	C₄×C₁₃	—	2	2	no	—
766	C₄×C₁₃	—	2	2	no	—
767	C₄×C₁₃	—	2	4	no	—
768	C₄×C₁₃	—	2	2	no	—
769	C₄×C₁₃	—	2	2	no	—
770	C₄×C₁₃	—	2	4	no	—
771	C₄×C₁₃	—	2	4	no	—
772	C₄×C₁₃	C₂²×#41	1	4	yes	—
773	Dic₁₃	—	2	4	no	—
774	Dic₁₃	—	2	4	no	—
775	Dic₁₃	—	2	2	no	—
776	Dic₁₃	—	2	2	no	—
777	Dic₁₃	—	2	2	no	—
778	Dic₁₃	—	2	4	no	—
779	Dic₁₃	—	2	2	no	—
780	Dic₁₃	—	2	2	no	—
781	Dic₁₃	—	2	2	no	—
782	Dic₁₃	—	2	2	no	—
783	C₂⁵	—	13	2	no	—
784	C₂×#41	—	13	8	no	—
785	C₂×#41	—	13	8	no	—
786	C₂×#41	—	26	8	no	—
787	C₂×#41	—	26	8	no	—
788	C₂²×Q₈	—	13	1	no	—
789	C₂²×Q₈	—	13	1	no	—
790	C₂²×Q₈	—	13	1	no	—
791	C₂²×Q₈	—	13	2	no	—
792	C₂²×D₄	—	13	2	no	—
793	C₂²×D₄	—	13	2	no	—
794	C₂²×D₄	—	13	2	no	—
795	C₂²×D₄	—	13	1	no	—
796	C₂²×D₄	—	13	1	no	—
797	C₂²×D₄	—	13	8	no	—
798	C₂²×D₄	—	13	1	no	—
799	C₂²×D₄	—	26	8	no	—
800	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
801	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
802	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
803	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
804	C₂³×C₄	—	13	2	no	—
805	C₂³×C₄	—	13	1	no	—
806	C₂³×C₄	—	13	1	no	—
807	C₂³×C₄	—	13	2	no	—
808	C₂³×C₄	—	13	2	no	—
809	C₂³×C₄	—	13	1	no	—
810	C₂³×C₄	—	13	2	no	—
811	C₂³×C₄	—	13	2	no	—
812	C₂³×C₄	—	13	2	no	—
813	C₂³×C₄	—	13	2	no	—
814	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
815	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
816	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
817	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
818	C₄⋊Q₈	—	13	8	no	—
819	C₄⋊Q₈	—	13	8	no	—
820	#126	—	13	8	no	—
821	#126	—	13	16	no	—
822	#126	—	13	16	no	—
823	#126	—	13	16	no	—
824	#126	—	13	16	no	—
825	#126	—	13	16	no	—
826	#126	—	13	16	no	—
827	#126	—	13	8	no	—
828	#126	—	13	16	no	—
829	#126	—	13	16	no	—
830	#126	—	13	16	no	—
831	#126	C₂²×D₁₃	1	16	yes	complemented
832	#125	—	13	16	no	—
833	#125	—	13	8	no	—
834	#125	—	13	8	no	—
835	#125	—	13	16	no	—
836	#125	—	13	16	no	—
837	#125	C₂²×D₁₃	1	8	yes	complemented
838	#124	—	13	16	no	—
839	#124	—	13	8	no	—
840	#124	—	13	8	no	—
841	#124	—	13	8	no	—
842	#124	—	13	16	no	—
843	#123	—	13	16	no	—
844	#123	—	13	8	no	—
845	#123	—	13	16	no	—
846	#123	—	13	16	no	—
847	#123	—	13	16	no	—
848	#123	—	13	16	no	—
849	#123	—	13	8	no	—
850	#123	—	13	16	no	—
851	#123	—	13	16	no	—
852	#123	C₂²×D₁₃	1	16	yes	complemented
853	C₂²⋊Q₈	—	13	8	no	—
854	C₂²⋊Q₈	—	13	16	no	—
855	C₂²⋊Q₈	—	13	8	no	—
856	C₂²⋊Q₈	—	13	16	no	—
857	C₂²⋊Q₈	—	13	16	no	—
858	C₂²⋊Q₈	—	13	16	no	—
859	C₂²⋊Q₈	—	13	8	no	—
860	C₂²⋊Q₈	—	13	8	no	—
861	C₂²⋊Q₈	—	13	8	no	—
862	C₂²⋊Q₈	—	13	16	no	—
863	#121	—	13	8	no	—
864	#121	—	13	16	no	—
865	#121	—	13	16	no	—
866	#121	—	13	16	no	—
867	#121	C₂²×D₁₃	1	8	yes	—
868	#121	C₂²×D₁₃	1	8	yes	—
869	#121	C₂²×D₁₃	1	16	yes	complemented
870	#120	—	13	16	no	—
871	#120	—	13	16	no	—
872	C₄×Q₈	—	13	8	no	—
873	C₄×Q₈	—	13	8	no	—
874	C₄×Q₈	—	13	8	no	—
875	C₄×Q₈	—	13	8	no	—
876	C₄×Q₈	—	13	16	no	—
877	C₄×Q₈	—	13	8	no	—
878	C₄×D₄	—	13	8	no	—
879	C₄×D₄	—	13	16	no	—
880	C₄×D₄	—	13	16	no	—
881	C₄×D₄	—	13	16	no	—
882	C₄×D₄	—	13	16	no	—
883	C₄×D₄	—	13	8	no	—
884	C₄×D₄	—	13	8	no	—
885	C₄×D₄	—	13	8	no	—
886	C₄×D₄	—	13	8	no	—
887	C₄×D₄	—	13	8	no	—
888	C₄×D₄	—	13	16	no	—
889	C₄×D₄	—	13	16	no	—
890	C₄×D₄	—	13	16	no	—
891	C₄×D₄	—	13	8	no	—
892	C₄×D₄	C₂²×D₁₃	1	8	yes	—
893	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
894	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
895	#117	—	13	8	no	—
896	#117	—	13	16	no	—
897	#117	—	13	16	no	—
898	#117	—	13	8	no	—
899	#117	—	13	16	no	—
900	#117	—	13	16	no	—
901	#117	—	13	16	no	—
902	#117	—	13	8	no	—
903	#117	C₂²×D₁₃	1	8	yes	complemented
904	C₂×C₄⋊C₄	—	13	1	no	—
905	C₂×C₄⋊C₄	—	13	1	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	1	no	—
914	C₂×C₄⋊C₄	—	13	1	no	—
915	C₂×C₄⋊C₄	—	13	1	no	—
916	C₂×C₄⋊C₄	—	13	1	no	—
917	C₂×C₄⋊C₄	—	13	1	no	—
918	C₂×C₄⋊C₄	—	13	2	no	—
919	C₂×C₄⋊C₄	—	13	2	no	—
920	C₂×C₄⋊C₄	—	13	2	no	—
921	C₂×C₄⋊C₄	—	13	2	no	—
922	C₂×C₄⋊C₄	—	13	2	no	—
923	C₂×C₄⋊C₄	—	13	1	no	—
924	C₂×C₄⋊C₄	—	13	1	no	—
925	C₂×C₄⋊C₄	—	13	1	no	—
926	C₂×C₄⋊C₄	—	13	2	no	—
927	C₂×C₄⋊C₄	—	13	16	no	—
928	C₂×C₄⋊C₄	—	13	16	no	—
929	C₂×C₄⋊C₄	—	13	16	no	—
930	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
931	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
932	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
933	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
934	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
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	8	yes	complemented
938	C₂×C₂²⋊C₄	—	13	2	no	—
939	C₂×C₂²⋊C₄	—	13	2	no	—
940	C₂×C₂²⋊C₄	—	13	2	no	—
941	C₂×C₂²⋊C₄	—	13	1	no	—
942	C₂×C₂²⋊C₄	—	13	1	no	—
943	C₂×C₂²⋊C₄	—	13	1	no	—
944	C₂×C₂²⋊C₄	—	13	2	no	—
945	C₂×C₂²⋊C₄	—	13	2	no	—
946	C₂×C₂²⋊C₄	—	13	2	no	—
947	C₂×C₂²⋊C₄	—	13	1	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	16	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	2	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	C₂²×D₁₃	1	2	yes	—
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×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
969	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
970	C₂×C₄²	—	13	1	no	—
971	C₂×C₄²	—	13	1	no	—
972	C₂×C₄²	—	13	2	no	—
973	C₂×C₄²	—	13	2	no	—
974	C₂×C₄²	—	13	2	no	—
975	C₂×C₄²	—	13	2	no	—
976	C₂×C₄²	—	13	1	no	—
977	C₂×C₄²	—	13	1	no	—
978	C₂×C₄²	—	13	2	no	—
979	C₂×C₄²	—	13	8	no	—
980	C₂×C₄²	—	13	1	no	—
981	C₂×C₄²	—	13	16	no	—
982	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
983	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
984	C₂×C₁₃	—	4	4	no	—
985	C₂×C₁₃	—	4	2	no	—
986	C₂×C₁₃	—	4	2	no	—
987	C₂×C₁₃	#3521	1	4	yes	complemented
988	C₂×C₁₃	C₂³×#41	1	1	yes	characteristic
989	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
990	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
991	D₁₃	—	2	8	no	—
992	D₁₃	—	4	2	no	—
993	C₂⁴	—	13	2	no	—
994	C₂⁴	—	13	1	no	—
995	C₂⁴	—	13	8	no	—
996	C₂⁴	—	26	8	no	—
997	C₂⁴	—	52	4	no	—
998	C₂⁴	—	52	4	no	—
999	C₂⁴	C₂³×D₁₃	1	2	yes	—
1000	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1001	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1002	#41	—	26	32	no	—
1003	#41	—	26	32	no	—
1004	C₂×Q₈	—	13	4	no	—
1005	C₂×Q₈	—	13	4	no	—
1006	C₂×Q₈	—	13	4	no	—
1007	C₂×Q₈	—	13	8	no	—
1008	C₂×Q₈	—	26	4	no	—
1009	C₂×Q₈	—	26	4	no	—
1010	C₂×Q₈	—	52	4	no	—
1011	C₂×Q₈	—	52	2	no	—
1012	C₂×D₄	—	2	4	no	—
1013	C₂×D₄	—	4	2	no	—
1014	C₂×D₄	—	4	4	no	—
1015	C₂×D₄	—	4	4	no	—
1016	C₂×D₄	—	13	8	no	—
1017	C₂×D₄	—	13	8	no	—
1018	C₂×D₄	—	13	8	no	—
1019	C₂×D₄	—	13	4	no	—
1020	C₂×D₄	—	13	4	no	—
1021	C₂×D₄	—	13	8	no	—
1022	C₂×D₄	—	13	4	no	—
1023	C₂×D₄	—	26	32	no	—
1024	C₂×D₄	—	26	8	no	—
1025	C₂×D₄	—	26	8	no	—
1026	C₂×D₄	—	26	8	no	—
1027	C₂×D₄	—	52	2	no	—
1028	C₂×D₄	—	52	2	no	—
1029	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1030	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1031	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1032	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1033	C₂²×C₄	—	2	4	no	—
1034	C₂²×C₄	—	2	4	no	—
1035	C₂²×C₄	—	4	4	no	—
1036	C₂²×C₄	—	4	4	no	—
1037	C₂²×C₄	—	13	1	no	—
1038	C₂²×C₄	—	13	1	no	—
1039	C₂²×C₄	—	13	1	no	—
1040	C₂²×C₄	—	13	1	no	—
1041	C₂²×C₄	—	13	2	no	—
1042	C₂²×C₄	—	13	2	no	—
1043	C₂²×C₄	—	13	1	no	—
1044	C₂²×C₄	—	13	1	no	—
1045	C₂²×C₄	—	13	2	no	—
1046	C₂²×C₄	—	13	1	no	—
1047	C₂²×C₄	—	13	4	no	—
1048	C₂²×C₄	—	13	4	no	—
1049	C₂²×C₄	—	13	8	no	—
1050	C₂²×C₄	—	13	8	no	—
1051	C₂²×C₄	—	13	8	no	—
1052	C₂²×C₄	—	13	4	no	—
1053	C₂²×C₄	—	13	8	no	—
1054	C₂²×C₄	—	13	8	no	—
1055	C₂²×C₄	—	13	8	no	—
1056	C₂²×C₄	—	13	8	no	—
1057	C₂²×C₄	—	26	8	no	—
1058	C₂²×C₄	—	26	8	no	—
1059	C₂²×C₄	—	26	4	no	—
1060	C₂²×C₄	—	52	4	no	—
1061	C₂²×C₄	—	52	4	no	—
1062	C₂²×C₄	—	52	4	no	—
1063	C₂²×C₄	—	52	4	no	—
1064	C₂²×C₄	—	52	2	no	—
1065	C₂²×C₄	—	52	4	no	—
1066	C₂²×C₄	—	52	2	no	—
1067	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1068	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1069	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1070	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1072	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1073	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1075	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1076	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1077	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1078	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1079	C₄⋊C₄	—	13	4	no	—
1080	C₄⋊C₄	—	13	4	no	—
1081	C₄⋊C₄	—	13	8	no	—
1082	C₄⋊C₄	—	13	8	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	4	no	—
1089	C₄⋊C₄	—	13	4	no	—
1090	C₄⋊C₄	—	13	4	no	—
1091	C₄⋊C₄	—	13	4	no	—
1092	C₄⋊C₄	—	13	4	no	—
1093	C₄⋊C₄	—	13	8	no	—
1094	C₄⋊C₄	—	13	8	no	—
1095	C₄⋊C₄	—	13	8	no	—
1096	C₄⋊C₄	—	13	8	no	—
1097	C₄⋊C₄	—	13	8	no	—
1098	C₄⋊C₄	—	13	4	no	—
1099	C₄⋊C₄	—	13	4	no	—
1100	C₄⋊C₄	—	13	4	no	—
1101	C₄⋊C₄	—	13	8	no	—
1102	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1103	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1104	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1105	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1106	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1107	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1108	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1109	C₂²⋊C₄	—	13	8	no	—
1110	C₂²⋊C₄	—	13	8	no	—
1111	C₂²⋊C₄	—	13	8	no	—
1112	C₂²⋊C₄	—	13	4	no	—
1113	C₂²⋊C₄	—	13	4	no	—
1114	C₂²⋊C₄	—	13	4	no	—
1115	C₂²⋊C₄	—	13	8	no	—
1116	C₂²⋊C₄	—	13	8	no	—
1117	C₂²⋊C₄	—	13	8	no	—
1118	C₂²⋊C₄	—	13	4	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	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1135	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1136	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1137	C₄²	—	13	4	no	—
1138	C₄²	—	13	4	no	—
1139	C₄²	—	13	4	no	—
1140	C₄²	—	13	8	no	—
1141	C₄²	—	13	4	no	—
1142	C₄²	—	13	8	no	—
1143	C₄²	—	13	8	no	—
1144	C₄²	—	13	8	no	—
1145	C₄²	—	13	8	no	—
1146	C₄²	—	13	4	no	—
1147	C₄²	C₂³×D₁₃	1	8	yes	—
1148	C₄²	C₂³×D₁₃	1	4	yes	—
1149	C₁₃	C₂×#3521	1	1	yes	characteristic, complemented, Sylow
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	2	4	no	—
1153	C₂³	—	2	2	no	—
1154	C₂³	—	2	4	no	—
1155	C₂³	—	2	2	no	—
1156	C₂³	—	2	2	no	—
1157	C₂³	—	2	4	no	—
1158	C₂³	—	2	2	no	—
1159	C₂³	—	13	8	no	—
1160	C₂³	—	13	4	no	—
1161	C₂³	—	13	2	no	—
1162	C₂³	—	26	16	no	—
1163	C₂³	—	26	4	no	—
1164	C₂³	—	26	4	no	—
1165	C₂³	—	26	2	no	—
1166	C₂³	—	26	2	no	—
1167	C₂³	—	26	2	no	—
1168	C₂³	—	52	8	no	—
1169	C₂³	—	52	8	no	—
1170	C₂³	—	104	16	no	—
1171	C₂³	C₂⁴×D₁₃	1	4	yes	—
1172	C₂³	C₂⁴×D₁₃	1	2	yes	—
1173	C₂³	C₂⁴×D₁₃	1	2	yes	—
1174	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1175	Q₈	—	26	8	no	—
1176	Q₈	—	26	8	no	—
1177	Q₈	—	52	4	no	—
1178	Q₈	—	52	8	no	—
1179	D₄	—	2	8	no	—
1180	D₄	—	4	8	no	—
1181	D₄	—	4	4	no	—
1182	D₄	—	4	8	no	—
1183	D₄	—	13	16	no	—
1184	D₄	—	26	16	no	—
1185	D₄	—	26	16	no	—
1186	D₄	—	26	16	no	—
1187	D₄	—	52	4	no	—
1188	D₄	—	52	4	no	—
1189	C₂×C₄	—	2	2	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	2	no	—
1192	C₂×C₄	—	2	4	no	—
1193	C₂×C₄	—	2	4	no	—
1194	C₂×C₄	—	2	2	no	—
1195	C₂×C₄	—	2	4	no	—
1196	C₂×C₄	—	2	8	no	—
1197	C₂×C₄	—	2	8	no	—
1198	C₂×C₄	—	4	8	no	—
1199	C₂×C₄	—	4	8	no	—
1200	C₂×C₄	—	13	2	no	—
1201	C₂×C₄	—	13	2	no	—
1202	C₂×C₄	—	13	2	no	—
1203	C₂×C₄	—	13	2	no	—
1204	C₂×C₄	—	13	4	no	—
1205	C₂×C₄	—	13	4	no	—
1206	C₂×C₄	—	13	2	no	—
1207	C₂×C₄	—	13	2	no	—
1208	C₂×C₄	—	13	2	no	—
1209	C₂×C₄	—	13	4	no	—
1210	C₂×C₄	—	26	16	no	—
1211	C₂×C₄	—	26	16	no	—
1212	C₂×C₄	—	26	2	no	—
1213	C₂×C₄	—	26	4	no	—
1214	C₂×C₄	—	26	4	no	—
1215	C₂×C₄	—	26	2	no	—
1216	C₂×C₄	—	26	2	no	—
1217	C₂×C₄	—	26	4	no	—
1218	C₂×C₄	—	26	2	no	—
1219	C₂×C₄	—	26	2	no	—
1220	C₂×C₄	—	26	2	no	—
1221	C₂×C₄	—	26	2	no	—
1222	C₂×C₄	—	26	8	no	—
1223	C₂×C₄	—	52	8	no	—
1224	C₂×C₄	—	52	8	no	—
1225	C₂×C₄	—	52	8	no	—
1226	C₂×C₄	—	52	8	no	—
1227	C₂×C₄	—	52	4	no	—
1228	C₂×C₄	—	52	4	no	—
1229	C₂×C₄	—	52	8	no	—
1230	C₂×C₄	#41×D₁₃	1	4	yes	—
1231	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1232	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1233	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1234	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1235	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1236	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1237	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1238	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	4	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	2	4	no	—
1244	C₂²	—	2	2	no	—
1245	C₂²	—	2	2	no	—
1246	C₂²	—	2	4	no	—
1247	C₂²	—	2	2	no	—
1248	C₂²	—	4	4	no	—
1249	C₂²	—	4	4	no	—
1250	C₂²	—	4	8	no	—
1251	C₂²	—	13	8	no	—
1252	C₂²	—	26	4	no	—
1253	C₂²	—	26	4	no	—
1254	C₂²	—	26	16	no	—
1255	C₂²	—	26	2	no	—
1256	C₂²	—	26	2	no	—
1257	C₂²	—	26	2	no	—
1258	C₂²	—	52	4	no	—
1259	C₂²	—	104	16	no	—
1260	C₂²	C₂×#41×D₁₃	1	2	yes	—
1261	C₂²	#11719648	1	2	yes	—
1262	C₂²	#11719650	1	2	yes	—
1263	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1264	C₄	—	2	2	no	—
1265	C₄	—	2	2	no	—
1266	C₄	—	2	4	no	—
1267	C₄	—	2	2	no	—
1268	C₄	—	2	4	no	—
1269	C₄	—	2	2	no	—
1270	C₄	—	2	4	no	—
1271	C₄	—	26	2	no	—
1272	C₄	—	26	4	no	—
1273	C₄	—	26	4	no	—
1274	C₄	—	26	2	no	—
1275	C₄	—	26	2	no	—
1276	C₄	—	26	2	no	—
1277	C₄	—	26	2	no	—
1278	C₄	—	26	2	no	—
1279	C₄	—	26	4	no	—
1280	C₄	—	26	2	no	—
1281	C₄	C₂×#41×D₁₃	1	4	yes	—
1282	C₂	—	4	4	no	—
1283	C₂	—	4	2	no	—
1284	C₂	—	4	2	no	—
1285	C₂	—	26	8	no	—
1286	C₂	—	52	2	no	—
1287	C₂	#13128899	1	4	yes	direct product factor
1288	C₂	C₂²×#41×D₁₃	1	1	yes	characteristic
1289	C₂	C₂×#11719650	1	1	yes	characteristic
1290	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×#553	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#553	D₁₃
hypocenter	C₁₃	C₂×#3521
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#553

Complements

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

N	H ≅ G/N	type
1. #13128899	C₂	direct (N × H)
2. C₂×#11719247	C₂	semidirect
3. C₂×#11719238	C₂	semidirect
4. C₂×#11719395	C₂	semidirect
5. C₂×#11719319	C₂	semidirect
6. C₂×#11719413	C₂	semidirect
7. C₂×#11719218	C₂	semidirect
8. C₂×#11719261	C₂	semidirect
9. C₂×#11719363	C₂	semidirect
10. C₂×#11719256	C₂	semidirect
11. C₂×#11719317	C₂	semidirect
12. C₂×#11719317	C₂	semidirect
13. C₂×#11719308	C₂	semidirect
14. C₂×#11719402	C₂	semidirect
15. C₂×#11719365	C₂	semidirect
16. C₂×#11719318	C₂	semidirect
17. C₂×#11719262	C₂	semidirect
18. C₂×#11719305	C₂	semidirect
19. C₂×#11719243	C₂	semidirect
20. C₂×D₁₃×#126	C₂	semidirect
21. C₂×#11719209	C₂	semidirect
22. C₂×#11719250	C₂	semidirect
23. C₂×#11719227	C₂	semidirect
24. C₂×C₁₃×#553	C₂	semidirect
28. C₁₃×#553	C₂²	semidirect
29. C₂×C₁₃×#126	C₂²	semidirect
30. C₂×C₁₃×#125	C₂²	semidirect
31. C₂×C₁₃×#123	C₂²	semidirect
34. C₂×C₁₃×#121	C₂²	semidirect
36. C₂×C₄×D₄×C₁₃	C₂²	semidirect
37. C₂×C₄×D₄×C₁₃	C₂²	semidirect
38. C₂×C₁₃×#117	C₂²	semidirect
39. C₂²×C₁₃×C₄⋊C₄	C₂²	semidirect
43. C₂×#88192	C₂²	semidirect
48. C₂×#88190	C₂²	semidirect
49. C₂×#88189	C₂²	semidirect
50. C₂×#88189	C₂²	semidirect
51. C₂×#88189	C₂²	semidirect
53. C₂×D₄×Dic₁₃	C₂²	semidirect
58. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
59. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
61. C₂×#88180	C₂²	semidirect
62. C₂×#88180	C₂²	semidirect
63. C₂×#88180	C₂²	semidirect
64. C₂×#88178	C₂²	semidirect
65. C₂×#88178	C₂²	semidirect
66. C₂×#88178	C₂²	semidirect
67. C₂²×C₄×Dic₁₃	C₂²	semidirect
68. #11719413	C₂²	semidirect
69. D₁₃×#126	C₂²	semidirect
70. #11719402	C₂²	semidirect
71. #11719395	C₂²	semidirect
72. #11719365	C₂²	semidirect
73. #11719363	C₂²	semidirect
74. #11719319	C₂²	semidirect
75. #11719318	C₂²	semidirect
76. #11719317	C₂²	semidirect
77. #11719317	C₂²	semidirect
78. #11719308	C₂²	semidirect
79. #11719305	C₂²	semidirect
80. #11719262	C₂²	semidirect
81. #11719261	C₂²	semidirect
82. #11719256	C₂²	semidirect
83. #11719250	C₂²	semidirect
84. #11719247	C₂²	semidirect
85. #11719243	C₂²	semidirect
86. #11719238	C₂²	semidirect
87. #11719227	C₂²	semidirect
88. #11719218	C₂²	semidirect
95. C₂×#88151	C₂²	semidirect
96. C₂×#88150	C₂²	semidirect
97. C₂×#88150	C₂²	semidirect
98. #11719209	C₂²	semidirect
103. C₂×#88146	C₂²	semidirect
104. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
105. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
106. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
107. C₂×#88144	C₂²	semidirect
108. C₂×#88144	C₂²	semidirect
109. C₂×#88144	C₂²	semidirect
110. C₂×#88143	C₂²	semidirect
111. C₂×#88143	C₂²	semidirect
112. C₂×#88142	C₂²	semidirect
113. C₂×#88141	C₂²	semidirect
114. C₂×#88141	C₂²	semidirect
115. C₂×#88141	C₂²	semidirect
116. C₂×#88141	C₂²	semidirect
122. C₂×#88137	C₂²	semidirect
123. C₂×#88137	C₂²	semidirect
125. C₂×#88135	C₂²	semidirect
126. C₂×#88135	C₂²	semidirect
130. C₂×#88133	C₂²	semidirect
131. C₂×#88133	C₂²	semidirect
132. C₂×#88133	C₂²	semidirect
133. C₂×#88133	C₂²	semidirect
134. C₂×#88133	C₂²	semidirect
135. C₂×#88133	C₂²	semidirect
136. C₂×#88132	C₂²	semidirect
137. C₂×#88132	C₂²	semidirect
138. C₂×#88131	C₂²	semidirect
142. C₂×#88126	C₂²	semidirect
143. C₂×C₄²×D₁₃	C₂²	semidirect
144. C₂×#88123	C₂²	semidirect
145. C₂×C₄×Dic₂₆	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
182. C₁₃×#126	C₂³	semidirect
183. C₁₃×#125	C₂³	semidirect
184. C₁₃×#123	C₂³	semidirect
187. C₁₃×#121	C₂³	semidirect
189. C₄×D₄×C₁₃	C₂³	semidirect
190. C₄×D₄×C₁₃	C₂³	semidirect
191. C₁₃×#117	C₂³	semidirect
199. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
222. #88192	C₂³	semidirect
227. #88190	C₂³	semidirect
228. #88189	C₂³	semidirect
229. #88189	C₂³	semidirect
230. #88189	C₂³	semidirect
232. D₄×Dic₁₃	C₂³	semidirect
237. C₄×C₂²⋊D₁₃	C₂³	semidirect
238. C₄×C₂²⋊D₁₃	C₂³	semidirect
251. #88180	C₂³	semidirect
252. #88180	C₂³	semidirect
253. #88180	C₂³	semidirect
263. #88178	C₂³	semidirect
264. #88178	C₂³	semidirect
265. #88178	C₂³	semidirect
290. C₂×C₄×Dic₁₃	C₂³	semidirect
297. #88151	C₂³	semidirect
298. #88150	C₂³	semidirect
299. #88150	C₂³	semidirect
304. #88146	C₂³	semidirect
305. C₄⋊C₄×D₁₃	C₂³	semidirect
306. C₄⋊C₄×D₁₃	C₂³	semidirect
307. C₄⋊C₄×D₁₃	C₂³	semidirect
308. #88144	C₂³	semidirect
309. #88144	C₂³	semidirect
310. #88144	C₂³	semidirect
311. #88143	C₂³	semidirect
312. #88143	C₂³	semidirect
313. #88142	C₂³	semidirect
314. #88141	C₂³	semidirect
315. #88141	C₂³	semidirect
316. #88141	C₂³	semidirect
317. #88141	C₂³	semidirect
323. #88137	C₂³	semidirect
324. #88137	C₂³	semidirect
326. #88135	C₂³	semidirect
327. #88135	C₂³	semidirect
331. #88133	C₂³	semidirect
332. #88133	C₂³	semidirect
333. #88133	C₂³	semidirect
334. #88133	C₂³	semidirect
335. #88133	C₂³	semidirect
336. #88133	C₂³	semidirect
337. #88132	C₂³	semidirect
338. #88132	C₂³	semidirect
339. #88131	C₂³	semidirect
343. #88126	C₂³	semidirect
344. C₄²×D₁₃	C₂³	semidirect
345. #88123	C₂³	semidirect
346. C₄×Dic₂₆	C₂³	semidirect
347. C₄×Dic₂₆	C₂³	semidirect
510. C₂×#553	D₁₃	semidirect
625. #553	C₂×D₁₃	semidirect
654. C₂×#126	C₂×D₁₃	semidirect
660. C₂×#125	C₂×D₁₃	semidirect
675. C₂×#123	C₂×D₁₃	semidirect
692. C₂×#121	C₂×D₁₃	semidirect
719. C₂×C₄×D₄	C₂×D₁₃	semidirect
720. C₂×C₄×D₄	C₂×D₁₃	semidirect
729. C₂×#117	C₂×D₁₃	semidirect
733. C₂²×C₄⋊C₄	C₂×D₁₃	semidirect
831. #126	C₂²×D₁₃	semidirect
837. #125	C₂²×D₁₃	semidirect
852. #123	C₂²×D₁₃	semidirect
869. #121	C₂²×D₁₃	semidirect
893. C₄×D₄	C₂²×D₁₃	semidirect
894. C₄×D₄	C₂²×D₁₃	semidirect
903. #117	C₂²×D₁₃	semidirect
937. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
987. C₂×C₁₃	#3521	semidirect
1149. C₁₃	C₂×#3521	semidirect
1287. C₂	#13128899	direct (N × H)

Maximal subgroups

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

subgroup	index
#13128899	2
C₂×#11719247	2
C₂×#11719238	2
C₂×#11719395	2
C₂×#11719319	2
C₂×#11719413	2
C₂×#11719218	2
C₂×#11719261	2
C₂×#11719363	2
C₂×#11719256	2
C₂×#11719317	2
C₂×#11719308	2
C₂×#11719402	2
C₂×#11719365	2
C₂×#11719318	2
C₂×#11719262	2
C₂×#11719305	2
C₂×#11719243	2
C₂×D₁₃×#126	2
C₂×#11719209	2
C₂×#11719250	2
C₂×#11719227	2
C₂×C₁₃×#553	2
C₂×#3521	13

Subgroups — C2×#13128899 #16771052

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13128899 #16771052