Subgroups — C₂×#13129195 #16770559

Order 3328.

8046 conjugacy classes of subgroups.

The subgroup lattice has 1412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129195	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719325	C₂	1	2	yes	maximal, complemented
3	C₂×#11719425	C₂	1	2	yes	maximal, complemented
4	C₂×#11719273	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719245	C₂	1	2	yes	maximal, complemented
6	C₂×#11719423	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719304	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719529	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719255	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719315	C₂	1	2	yes	maximal, complemented
11	C₂×#11719534	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719314	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719287	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719308	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719265	C₂	1	2	yes	maximal, complemented
16	C₂×#11719318	C₂	1	2	yes	maximal, complemented
17	C₂×#11719302	C₂	1	2	yes	maximal, complemented
18	C₂×#11719535	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719420	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#11719420	C₂	1	2	yes	maximal, complemented
21	C₂×#11719537	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719301	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#11719243	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#550	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
26	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#6129	C₂²	1	2	yes	complemented
28	C₂²×#6129	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#6129	C₂²	1	2	yes	complemented
30	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
31	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
32	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
33	C₂³×D₅₂	C₂²	1	1	yes	characteristic
34	C₁₃×#550	C₂²	1	16	yes	complemented
35	C₂×C₁₃×#127	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#127	C₂²	1	2	yes	complemented
37	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
39	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₁₃×#121	C₂²	1	2	yes	complemented
41	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₄×D₄×C₁₃	C₂²	1	2	yes	complemented
44	#11719537	C₂²	1	16	yes	complemented
45	#11719535	C₂²	1	16	yes	complemented
46	#11719534	C₂²	1	16	yes	complemented
47	#11719529	C₂²	1	16	yes	complemented
48	C₂×#88201	C₂²	1	1	yes	characteristic
49	C₂×#88201	C₂²	1	1	yes	characteristic, complemented
50	C₂×#88200	C₂²	1	1	yes	characteristic, complemented
51	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
52	C₂×#88194	C₂²	1	1	yes	characteristic
53	C₂×#88194	C₂²	1	1	yes	characteristic
54	C₂×#88194	C₂²	1	1	yes	characteristic, complemented
55	C₂×#88194	C₂²	1	2	yes	complemented
56	C₂×#88193	C₂²	1	2	yes	—
57	C₂×#88193	C₂²	1	1	yes	characteristic
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×#88193	C₂²	1	2	yes	complemented
63	C₂×#88193	C₂²	1	2	yes	complemented
64	C₂×#88193	C₂²	1	2	yes	complemented
65	C₂×#88193	C₂²	1	2	yes	complemented
66	C₂×#88193	C₂²	1	2	yes	complemented
67	C₂×#88192	C₂²	1	2	yes	complemented
68	C₂×#88191	C₂²	1	2	yes	—
69	C₂×#88191	C₂²	1	2	yes	complemented
70	C₂×#88191	C₂²	1	2	yes	complemented
71	C₂×#88191	C₂²	1	2	yes	complemented
72	C₂×#88191	C₂²	1	2	yes	complemented
73	C₂×#88191	C₂²	1	2	yes	complemented
74	C₂×#88191	C₂²	1	2	yes	complemented
75	C₂×#88190	C₂²	1	1	yes	characteristic, complemented
76	C₂×#88190	C₂²	1	2	yes	complemented
77	C₂×#88189	C₂²	1	2	yes	complemented
78	C₂×#88189	C₂²	1	2	yes	complemented
79	C₂×#88189	C₂²	1	1	yes	characteristic, complemented
80	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
81	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
82	C₂×#88184	C₂²	1	1	yes	characteristic
83	C₂×#88184	C₂²	1	2	yes	complemented
84	C₂×#88184	C₂²	1	2	yes	complemented
85	C₂×#88183	C₂²	1	2	yes	complemented
86	C₂×#88183	C₂²	1	2	yes	complemented
87	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
88	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
89	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
90	C₂×C₄×C₂²⋊D₁₃	C₂²	1	2	yes	complemented
91	C₂²×#6103	C₂²	1	2	yes	complemented
92	C₂×#88180	C₂²	1	1	yes	characteristic, complemented
93	C₂×#88178	C₂²	1	1	yes	characteristic, complemented
94	C₂²×#6101	C₂²	1	2	yes	complemented
95	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
96	#11719425	C₂²	1	32	yes	complemented
97	#11719423	C₂²	1	16	yes	complemented
98	#11719420	C₂²	1	16	yes	complemented
99	#11719420	C₂²	1	32	yes	complemented
100	#11719325	C₂²	1	32	yes	complemented
101	#11719318	C₂²	1	32	yes	complemented
102	#11719315	C₂²	1	32	yes	complemented
103	#11719314	C₂²	1	16	yes	complemented
104	#11719308	C₂²	1	16	yes	complemented
105	#11719304	C₂²	1	16	yes	complemented
106	#11719302	C₂²	1	32	yes	complemented
107	#11719301	C₂²	1	16	yes	complemented
108	#11719287	C₂²	1	16	yes	complemented
109	#11719273	C₂²	1	16	yes	complemented
110	#11719265	C₂²	1	32	yes	complemented
111	#11719255	C₂²	1	16	yes	complemented
112	#11719245	C₂²	1	32	yes	complemented
113	#11719243	C₂²	1	16	yes	complemented
114	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
115	C₂×#88152	C₂²	1	2	yes	complemented
116	C₂×#88150	C₂²	1	2	yes	complemented
117	C₂×#88150	C₂²	1	2	yes	complemented
118	C₂×#88149	C₂²	1	1	yes	characteristic
119	C₂×#88148	C₂²	1	2	yes	complemented
120	C₂×#88148	C₂²	1	2	yes	complemented
121	C₂×#88147	C₂²	1	1	yes	characteristic
122	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
123	C₂×#88142	C₂²	1	1	yes	characteristic, complemented
124	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
125	C₂×#88140	C₂²	1	1	yes	characteristic, complemented
126	C₂×#88139	C₂²	1	1	yes	characteristic
127	C₂×#88139	C₂²	1	2	yes	complemented
128	C₂×#88138	C₂²	1	2	yes	—
129	C₂×#88138	C₂²	1	2	yes	complemented
130	C₂×#88138	C₂²	1	2	yes	complemented
131	C₂×#88136	C₂²	1	2	yes	—
132	C₂×#88135	C₂²	1	2	yes	complemented
133	C₂×#88135	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	1	yes	characteristic, complemented
137	C₂×#88132	C₂²	1	2	yes	complemented
138	C₂×#88132	C₂²	1	1	yes	characteristic, complemented
139	C₂×#88130	C₂²	1	2	yes	complemented
140	C₂×#88130	C₂²	1	2	yes	complemented
141	C₂×#88129	C₂²	1	1	yes	characteristic
142	C₂×#88129	C₂²	1	2	yes	complemented
143	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
144	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
145	C₂×#88126	C₂²	1	2	yes	complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂⁴×D₁₃	C₂³	1	2	yes	—
149	C₂×C₁₃×#41	—	4	4	no	—
150	C₂×C₁₃×#41	—	4	4	no	—
151	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
152	C₂×C₁₃×#41	C₂³	1	8	yes	complemented
153	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
154	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
155	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
156	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
157	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
158	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
159	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
160	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
161	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
162	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
163	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
164	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
165	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
166	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
168	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
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	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
179	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
180	C₂³×Dic₁₃	C₂³	1	2	yes	—
181	C₂³×Dic₁₃	C₂³	1	2	yes	—
182	C₂³×Dic₁₃	C₂³	1	2	yes	—
183	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
184	C₂×#6129	—	4	4	no	—
185	C₂×#6129	—	4	8	no	—
186	C₂×#6129	—	4	8	no	—
187	C₂×#6129	C₂³	1	8	yes	complemented
188	C₂×#6129	C₂³	1	16	yes	complemented
189	C₂×#6129	C₂³	1	16	yes	complemented
190	C₂×D₄×D₁₃	—	4	4	no	—
191	C₂×D₄×D₁₃	—	4	8	no	—
192	C₂×D₄×D₁₃	C₂³	1	8	yes	—
193	C₂×D₄×D₁₃	C₂³	1	16	yes	—
194	C₂×#6127	—	4	4	no	—
195	C₂×#6127	C₂³	1	8	yes	complemented
196	C₂²×D₅₂	—	4	4	no	—
197	C₂²×D₅₂	C₂³	1	1	yes	characteristic
198	C₂²×D₅₂	C₂³	1	1	yes	characteristic
199	C₂²×D₅₂	C₂³	1	2	yes	—
200	C₂²×D₅₂	C₂³	1	2	yes	—
201	C₂²×D₅₂	C₂³	1	8	yes	—
202	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
203	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
205	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
206	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
207	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
208	C₂²×Dic₂₆	C₂³	1	2	yes	—
209	C₁₃×#127	C₂³	1	16	yes	complemented
210	C₁₃×#127	C₂³	1	8	yes	complemented
211	C₁₃×#121	C₂³	1	8	yes	—
212	C₁₃×#121	C₂³	1	8	yes	complemented
213	C₁₃×#121	C₂³	1	16	yes	complemented
214	C₁₃×#121	C₂³	1	16	yes	complemented
215	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
216	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
217	C₄×D₄×C₁₃	C₂³	1	16	yes	complemented
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
221	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
222	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
225	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
226	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
227	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
229	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
232	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
233	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
234	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₁₃	C₂³	1	2	yes	—
236	#88201	C₂³	1	8	yes	—
237	#88201	C₂³	1	8	yes	complemented
238	#88200	C₂³	1	8	yes	complemented
239	#88198	C₂³	1	8	yes	complemented
240	#88194	C₂³	1	8	yes	—
241	#88194	C₂³	1	8	yes	—
242	#88194	C₂³	1	8	yes	complemented
243	#88194	C₂³	1	16	yes	complemented
244	#88193	C₂³	1	8	yes	—
245	#88193	C₂³	1	16	yes	—
246	#88193	C₂³	1	16	yes	complemented
247	#88193	C₂³	1	16	yes	complemented
248	#88193	C₂³	1	16	yes	complemented
249	#88193	C₂³	1	16	yes	complemented
250	#88193	C₂³	1	16	yes	complemented
251	#88193	C₂³	1	16	yes	complemented
252	#88193	C₂³	1	16	yes	complemented
253	#88193	C₂³	1	16	yes	complemented
254	#88193	C₂³	1	16	yes	complemented
255	#88192	C₂³	1	16	yes	complemented
256	#88191	C₂³	1	16	yes	—
257	#88191	C₂³	1	16	yes	complemented
258	#88191	C₂³	1	16	yes	complemented
259	#88191	C₂³	1	16	yes	complemented
260	#88191	C₂³	1	16	yes	complemented
261	#88191	C₂³	1	16	yes	complemented
262	#88191	C₂³	1	16	yes	complemented
263	#88190	C₂³	1	8	yes	complemented
264	#88190	C₂³	1	16	yes	complemented
265	#88189	C₂³	1	8	yes	complemented
266	#88189	C₂³	1	16	yes	complemented
267	#88189	C₂³	1	16	yes	complemented
268	D₄×Dic₁₃	C₂³	1	8	yes	complemented
269	D₄×Dic₁₃	C₂³	1	8	yes	complemented
270	#88184	C₂³	1	8	yes	—
271	#88184	C₂³	1	16	yes	complemented
272	#88184	C₂³	1	16	yes	complemented
273	#88183	C₂³	1	16	yes	complemented
274	#88183	C₂³	1	16	yes	complemented
275	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
276	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
277	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
278	C₄×C₂²⋊D₁₃	C₂³	1	16	yes	complemented
279	C₂×#6103	C₂³	1	2	yes	—
280	C₂×#6103	C₂³	1	1	yes	characteristic
281	C₂×#6103	C₂³	1	1	yes	characteristic
282	C₂×#6103	C₂³	1	2	yes	—
283	C₂×#6103	C₂³	1	2	yes	—
284	C₂×#6103	C₂³	1	2	yes	—
285	C₂×#6103	C₂³	1	2	yes	—
286	C₂×#6103	C₂³	1	2	yes	—
287	C₂×#6103	C₂³	1	2	yes	—
288	C₂×#6103	C₂³	1	2	yes	—
289	C₂×#6103	C₂³	1	2	yes	—
290	C₂×#6103	C₂³	1	2	yes	—
291	C₂×#6103	C₂³	1	2	yes	—
292	C₂×#6103	C₂³	1	1	yes	characteristic
293	C₂×#6103	C₂³	1	1	yes	characteristic
294	C₂×#6103	C₂³	1	16	yes	complemented
295	#88180	C₂³	1	8	yes	complemented
296	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
300	#88178	C₂³	1	8	yes	complemented
301	C₂×#6101	C₂³	1	1	yes	characteristic
302	C₂×#6101	C₂³	1	1	yes	characteristic
303	C₂×#6101	C₂³	1	1	yes	characteristic
304	C₂×#6101	C₂³	1	1	yes	characteristic
305	C₂×#6101	C₂³	1	2	yes	—
306	C₂×#6101	C₂³	1	2	yes	—
307	C₂×#6101	C₂³	1	2	yes	—
308	C₂×#6101	C₂³	1	2	yes	—
309	C₂×#6101	C₂³	1	2	yes	—
310	C₂×#6101	C₂³	1	2	yes	—
311	C₂×#6101	C₂³	1	1	yes	characteristic
312	C₂×#6101	C₂³	1	1	yes	characteristic
313	C₂×#6101	C₂³	1	16	yes	complemented
314	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₁₃	C₂³	1	2	yes	—
317	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
320	C₂×C₄×Dic₁₃	C₂³	1	8	yes	complemented
321	#88152	C₂³	1	8	yes	complemented
322	#88152	C₂³	1	16	yes	complemented
323	#88150	C₂³	1	16	yes	complemented
324	#88150	C₂³	1	16	yes	complemented
325	#88149	C₂³	1	8	yes	—
326	#88148	C₂³	1	16	yes	complemented
327	#88148	C₂³	1	16	yes	complemented
328	#88147	C₂³	1	8	yes	—
329	#88143	C₂³	1	8	yes	complemented
330	#88142	C₂³	1	8	yes	complemented
331	#88141	C₂³	1	8	yes	complemented
332	#88140	C₂³	1	8	yes	complemented
333	#88139	C₂³	1	8	yes	—
334	#88139	C₂³	1	16	yes	complemented
335	#88138	C₂³	1	16	yes	—
336	#88138	C₂³	1	16	yes	complemented
337	#88138	C₂³	1	16	yes	complemented
338	#88136	C₂³	1	16	yes	—
339	#88135	C₂³	1	16	yes	complemented
340	#88135	C₂³	1	16	yes	complemented
341	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
342	#88133	C₂³	1	8	yes	complemented
343	#88133	C₂³	1	16	yes	complemented
344	#88132	C₂³	1	8	yes	complemented
345	#88132	C₂³	1	16	yes	complemented
346	#88130	C₂³	1	16	yes	complemented
347	#88130	C₂³	1	16	yes	complemented
348	#88129	C₂³	1	8	yes	—
349	#88129	C₂³	1	16	yes	complemented
350	C₄×D₅₂	C₂³	1	8	yes	complemented
351	#88126	C₂³	1	8	yes	complemented
352	#88126	C₂³	1	16	yes	complemented
353	C₄×Dic₂₆	C₂³	1	8	yes	complemented
354	C₂×#3546	—	13	1	no	maximal, Sylow
355	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
356	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
357	C₂⁴×C₁₃	C₂⁴	1	2	yes	—
358	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₁₃	—	4	4	no	—
360	C₂³×D₁₃	—	4	4	no	—
361	C₂³×D₁₃	—	4	4	no	—
362	C₂³×D₁₃	—	4	4	no	—
363	C₂³×D₁₃	—	4	4	no	—
364	C₂³×D₁₃	—	4	4	no	—
365	C₂³×D₁₃	C₂⁴	1	2	yes	—
366	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
367	C₂³×D₁₃	C₂⁴	1	2	yes	—
368	C₂³×D₁₃	C₂⁴	1	8	yes	—
369	C₂³×D₁₃	C₂⁴	1	8	yes	—
370	C₁₃×#41	—	4	16	no	—
371	C₁₃×#41	—	4	16	no	—
372	C₂×Q₈×C₁₃	—	2	4	no	—
373	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
374	C₂×D₄×C₁₃	—	2	4	no	—
375	C₂×D₄×C₁₃	—	2	4	no	—
376	C₂×D₄×C₁₃	—	4	4	no	—
377	C₂×D₄×C₁₃	—	4	4	no	—
378	C₂×D₄×C₁₃	—	4	4	no	—
379	C₂×D₄×C₁₃	—	4	2	no	—
380	C₂×D₄×C₁₃	—	4	4	no	—
381	C₂×D₄×C₁₃	—	4	4	no	—
382	C₂×D₄×C₁₃	—	4	4	no	—
383	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
384	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
385	C₂×D₄×C₁₃	C₂⁴	1	8	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	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
390	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
391	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
392	C₂²×C₄×C₁₃	—	2	4	no	—
393	C₂²×C₄×C₁₃	—	2	4	no	—
394	C₂²×C₄×C₁₃	—	4	4	no	—
395	C₂²×C₄×C₁₃	—	4	4	no	—
396	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
398	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
404	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
405	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	4	4	no	—
413	C₂×C₂²⋊D₁₃	—	4	4	no	—
414	C₂×C₂²⋊D₁₃	—	4	4	no	—
415	C₂×C₂²⋊D₁₃	—	4	4	no	—
416	C₂×C₂²⋊D₁₃	—	4	4	no	—
417	C₂×C₂²⋊D₁₃	—	4	4	no	—
418	C₂×C₂²⋊D₁₃	—	4	2	no	—
419	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
420	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
421	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
422	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
423	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
424	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
425	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
426	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
427	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
428	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
429	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
430	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
431	C₂²×Dic₁₃	—	2	4	no	—
432	C₂²×Dic₁₃	—	2	8	no	—
433	C₂²×Dic₁₃	—	4	4	no	—
434	C₂²×Dic₁₃	—	4	4	no	—
435	C₂²×Dic₁₃	—	4	2	no	—
436	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
437	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
438	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
443	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
446	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
447	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
448	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
449	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
450	#6129	—	4	16	no	—
451	#6129	—	4	32	no	—
452	#6129	—	4	32	no	—
453	D₄×D₁₃	—	4	16	no	—
454	D₄×D₁₃	—	4	32	no	—
455	#6127	—	4	16	no	—
456	C₂×D₅₂	—	2	4	no	—
457	C₂×D₅₂	—	2	4	no	—
458	C₂×D₅₂	—	4	16	no	—
459	C₂×D₅₂	—	4	4	no	—
460	C₂×D₅₂	—	4	4	no	—
461	C₂×D₅₂	C₂⁴	1	4	yes	—
462	C₂×D₅₂	C₂⁴	1	4	yes	—
463	C₂×D₅₂	C₂⁴	1	8	yes	—
464	C₂×D₅₂	C₂⁴	1	8	yes	—
465	C₂×C₄×D₁₃	—	2	4	no	—
466	C₂×C₄×D₁₃	—	2	8	no	—
467	C₂×C₄×D₁₃	—	4	4	no	—
468	C₂×C₄×D₁₃	—	4	4	no	—
469	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
470	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
471	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
472	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
473	C₂×Dic₂₆	—	2	4	no	—
474	C₂×Dic₂₆	—	2	4	no	—
475	C₂×Dic₂₆	—	4	4	no	—
476	C₂×Dic₂₆	C₂⁴	1	4	yes	—
477	C₂×Dic₂₆	C₂⁴	1	4	yes	—
478	C₂×Dic₂₆	C₂⁴	1	8	yes	—
479	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
480	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
481	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
482	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
483	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
484	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
485	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
486	C₄²×C₁₃	C₂⁴	1	4	yes	—
487	C₄²×C₁₃	C₂⁴	1	8	yes	—
488	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
489	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
490	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
491	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
492	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
493	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
494	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
495	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
496	C₂²⋊Dic₁₃	C₂⁴	1	8	yes	—
497	#6103	C₂⁴	1	8	yes	—
498	#6103	C₂⁴	1	4	yes	—
499	#6103	C₂⁴	1	4	yes	—
500	#6103	C₂⁴	1	8	yes	—
501	#6103	C₂⁴	1	8	yes	—
502	#6103	C₂⁴	1	8	yes	—
503	#6103	C₂⁴	1	8	yes	—
504	#6103	C₂⁴	1	8	yes	—
505	#6103	C₂⁴	1	8	yes	—
506	#6103	C₂⁴	1	8	yes	—
507	#6103	C₂⁴	1	8	yes	—
508	#6103	C₂⁴	1	8	yes	—
509	#6103	C₂⁴	1	8	yes	—
510	#6103	C₂⁴	1	4	yes	—
511	#6103	C₂⁴	1	4	yes	—
512	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
513	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
514	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
515	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
516	#6101	C₂⁴	1	4	yes	—
517	#6101	C₂⁴	1	4	yes	—
518	#6101	C₂⁴	1	4	yes	—
519	#6101	C₂⁴	1	4	yes	—
520	#6101	C₂⁴	1	8	yes	—
521	#6101	C₂⁴	1	8	yes	—
522	#6101	C₂⁴	1	8	yes	—
523	#6101	C₂⁴	1	8	yes	—
524	#6101	C₂⁴	1	8	yes	—
525	#6101	C₂⁴	1	8	yes	—
526	#6101	C₂⁴	1	4	yes	—
527	#6101	C₂⁴	1	4	yes	—
528	C₄×Dic₁₃	C₂⁴	1	4	yes	—
529	C₄×Dic₁₃	C₂⁴	1	4	yes	—
530	C₄×Dic₁₃	C₂⁴	1	8	yes	—
531	C₄×Dic₁₃	C₂⁴	1	4	yes	—
532	C₄×Dic₁₃	C₂⁴	1	4	yes	—
533	C₄×Dic₁₃	C₂⁴	1	4	yes	—
534	#3546	—	13	32	no	—
535	C₂×#560	—	13	2	no	—
536	C₂×#560	—	13	2	no	—
537	C₂×#556	—	13	1	no	—
538	C₂×#553	—	13	2	no	—
539	C₂×#550	—	13	1	no	—
540	C₂×#550	—	13	1	no	—
541	C₂×#550	D₁₃	1	1	yes	characteristic, complemented
542	C₂×#547	—	13	1	no	—
543	C₂×#546	—	13	1	no	—
544	C₂×#546	—	13	2	no	—
545	C₂×#546	—	13	1	no	—
546	C₂×D₄²	—	13	1	no	—
547	C₂×#542	—	13	1	no	—
548	C₂×#542	—	13	1	no	—
549	C₂×#538	—	13	2	no	—
550	C₂×#538	—	13	2	no	—
551	C₂×#537	—	13	2	no	—
552	C₂×#535	—	13	1	no	—
553	C₂×#535	—	13	1	no	—
554	C₂×#535	—	13	2	no	—
555	C₂×#532	—	13	1	no	—
556	C₂×#532	—	13	1	no	—
557	C₂×#529	—	13	1	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	—	2	2	no	—
564	C₂³×C₁₃	—	2	4	no	—
565	C₂³×C₁₃	—	2	2	no	—
566	C₂³×C₁₃	—	2	2	no	—
567	C₂³×C₁₃	—	2	4	no	—
568	C₂³×C₁₃	—	2	4	no	—
569	C₂³×C₁₃	—	2	2	no	—
570	C₂³×C₁₃	C₂⁵	1	2	yes	—
571	C₂³×C₁₃	C₂⁵	1	4	yes	—
572	C₂³×C₁₃	C₂⁵	1	4	yes	—
573	C₂³×C₁₃	C₂⁵	1	2	yes	—
574	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
575	C₂²×D₁₃	—	2	2	no	—
576	C₂²×D₁₃	—	2	4	no	—
577	C₂²×D₁₃	—	2	4	no	—
578	C₂²×D₁₃	—	2	4	no	—
579	C₂²×D₁₃	—	2	4	no	—
580	C₂²×D₁₃	—	2	2	no	—
581	C₂²×D₁₃	—	2	4	no	—
582	C₂²×D₁₃	—	2	4	no	—
583	C₂²×D₁₃	—	2	2	no	—
584	C₂²×D₁₃	—	4	8	no	—
585	C₂²×D₁₃	—	4	8	no	—
586	C₂²×D₁₃	—	4	8	no	—
587	C₂²×D₁₃	—	4	8	no	—
588	C₂²×D₁₃	—	4	8	no	—
589	C₂²×D₁₃	—	4	8	no	—
590	C₂²×D₁₃	—	8	16	no	—
591	C₂²×D₁₃	—	8	16	no	—
592	C₂²×D₁₃	C₂⁵	1	4	yes	—
593	C₂²×D₁₃	C₂⁵	1	2	yes	—
594	C₂²×D₁₃	C₂⁵	1	4	yes	—
595	Q₈×C₁₃	—	2	8	no	—
596	D₄×C₁₃	—	2	8	no	—
597	D₄×C₁₃	—	2	8	no	—
598	D₄×C₁₃	—	4	8	no	—
599	D₄×C₁₃	—	4	8	no	—
600	D₄×C₁₃	—	4	8	no	—
601	D₄×C₁₃	—	4	4	no	—
602	D₄×C₁₃	—	4	8	no	—
603	D₄×C₁₃	—	4	8	no	—
604	D₄×C₁₃	—	4	8	no	—
605	C₂×C₄×C₁₃	—	2	2	no	—
606	C₂×C₄×C₁₃	—	2	4	no	—
607	C₂×C₄×C₁₃	—	2	2	no	—
608	C₂×C₄×C₁₃	—	2	2	no	—
609	C₂×C₄×C₁₃	—	2	4	no	—
610	C₂×C₄×C₁₃	—	2	2	no	—
611	C₂×C₄×C₁₃	—	2	8	no	—
612	C₂×C₄×C₁₃	—	2	8	no	—
613	C₂×C₄×C₁₃	—	4	8	no	—
614	C₂×C₄×C₁₃	—	4	8	no	—
615	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
616	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
617	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
618	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
619	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
620	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
621	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
622	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
623	C₂²⋊D₁₃	—	2	8	no	—
624	C₂²⋊D₁₃	—	2	16	no	—
625	C₂²⋊D₁₃	—	4	8	no	—
626	C₂²⋊D₁₃	—	4	8	no	—
627	C₂²⋊D₁₃	—	4	8	no	—
628	C₂²⋊D₁₃	—	4	8	no	—
629	C₂²⋊D₁₃	—	4	8	no	—
630	C₂²⋊D₁₃	—	4	8	no	—
631	C₂²⋊D₁₃	—	4	8	no	—
632	C₂²⋊D₁₃	—	4	8	no	—
633	C₂²⋊D₁₃	—	4	8	no	—
634	C₂²⋊D₁₃	—	4	4	no	—
635	C₂×Dic₁₃	—	2	4	no	—
636	C₂×Dic₁₃	—	2	2	no	—
637	C₂×Dic₁₃	—	2	2	no	—
638	C₂×Dic₁₃	—	2	4	no	—
639	C₂×Dic₁₃	—	2	2	no	—
640	C₂×Dic₁₃	—	2	2	no	—
641	C₂×Dic₁₃	—	2	2	no	—
642	C₂×Dic₁₃	—	2	2	no	—
643	C₂×Dic₁₃	—	2	8	no	—
644	C₂×Dic₁₃	—	2	16	no	—
645	C₂×Dic₁₃	—	4	8	no	—
646	C₂×Dic₁₃	—	4	8	no	—
647	C₂×Dic₁₃	—	4	4	no	—
648	C₂×Dic₁₃	H(5,𝔽₂)	1	4	yes	—
649	C₂×Dic₁₃	C₂⁵	1	2	yes	—
650	C₂×Dic₁₃	C₂⁵	1	2	yes	—
651	C₂×Dic₁₃	C₂⁵	1	2	yes	—
652	C₂×Dic₁₃	C₂⁵	1	2	yes	—
653	C₂×Dic₁₃	C₂⁵	1	4	yes	—
654	C₂×Dic₁₃	C₂⁵	1	2	yes	—
655	C₂×Dic₁₃	C₂⁵	1	2	yes	—
656	C₂×Dic₁₃	C₂⁵	1	4	yes	—
657	C₂×Dic₁₃	C₂⁵	1	2	yes	—
658	D₅₂	—	2	8	no	—
659	D₅₂	—	2	8	no	—
660	D₅₂	—	4	8	no	—
661	D₅₂	—	4	8	no	—
662	C₄×D₁₃	—	2	8	no	—
663	C₄×D₁₃	—	2	16	no	—
664	C₄×D₁₃	—	4	8	no	—
665	C₄×D₁₃	—	4	8	no	—
666	Dic₂₆	—	2	8	no	—
667	Dic₂₆	—	2	8	no	—
668	Dic₂₆	—	4	8	no	—
669	C₂²×#41	—	13	2	no	—
670	C₂²×#41	—	13	1	no	—
671	C₂²×#41	—	13	2	no	—
672	C₂²×#41	—	13	1	no	—
673	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
674	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
675	C₂³×D₄	—	13	2	no	—
676	C₂³×D₄	—	13	1	no	—
677	C₂³×D₄	—	13	1	no	—
678	#560	—	13	32	no	—
679	#560	—	13	32	no	—
680	#556	—	13	16	no	—
681	#553	—	13	32	no	—
682	#550	—	13	16	no	—
683	#550	—	13	16	no	—
684	#550	C₂×D₁₃	1	16	yes	complemented
685	#547	—	13	16	no	—
686	#546	—	13	16	no	—
687	#546	—	13	32	no	—
688	#546	—	13	16	no	—
689	D₄²	—	13	16	no	—
690	#542	—	13	16	no	—
691	#542	—	13	16	no	—
692	#538	—	13	32	no	—
693	#538	—	13	32	no	—
694	#537	—	13	32	no	—
695	#535	—	13	16	no	—
696	#535	—	13	16	no	—
697	#535	—	13	32	no	—
698	#532	—	13	16	no	—
699	#532	—	13	16	no	—
700	C₂×C₄⋊Q₈	—	13	1	no	—
701	C₂×C₄⋊Q₈	—	13	1	no	—
702	C₂×#127	—	13	1	no	—
703	C₂×#127	—	13	1	no	—
704	C₂×#127	—	13	1	no	—
705	C₂×#127	—	13	2	no	—
706	C₂×#127	C₂×D₁₃	1	1	yes	characteristic, complemented
707	C₂×#127	C₂×D₁₃	1	2	yes	complemented
708	#529	—	13	16	no	—
709	C₂×#126	—	13	1	no	—
710	C₂×#126	—	13	2	no	—
711	C₂×#126	—	13	1	no	—
712	C₂×#126	—	13	2	no	—
713	C₂×#126	—	13	2	no	—
714	C₂×#126	—	13	2	no	—
715	C₂×#125	—	13	1	no	—
716	C₂×#124	—	13	1	no	—
717	C₂×#124	—	13	1	no	—
718	C₂×#124	—	13	1	no	—
719	C₂×#124	—	13	2	no	—
720	C₂×#124	—	13	1	no	—
721	C₂×#124	—	13	2	no	—
722	C₂×#124	—	13	1	no	—
723	C₂×#124	—	13	2	no	—
724	C₂×#123	—	13	1	no	—
725	C₂×#123	—	13	2	no	—
726	C₂×#123	—	13	2	no	—
727	C₂×#123	—	13	2	no	—
728	C₂×#123	—	13	2	no	—
729	C₂×#123	—	13	2	no	—
730	C₂×#123	—	13	2	no	—
731	C₂×#123	—	13	1	no	—
732	C₂×C₂²⋊Q₈	—	13	1	no	—
733	C₂×C₂²⋊Q₈	—	13	1	no	—
734	C₂×C₂²⋊Q₈	—	13	2	no	—
735	C₂×C₂²⋊Q₈	—	13	2	no	—
736	C₂×C₂²⋊Q₈	—	13	1	no	—
737	C₂×C₂²⋊Q₈	—	13	2	no	—
738	C₂×#121	—	13	2	no	—
739	C₂×#121	—	13	1	no	—
740	C₂×#121	—	13	2	no	—
741	C₂×#121	—	13	2	no	—
742	C₂×#121	—	13	2	no	—
743	C₂×#121	—	13	2	no	—
744	C₂×#121	—	13	2	no	—
745	C₂×#121	—	13	2	no	—
746	C₂×#121	—	13	2	no	—
747	C₂×#121	—	13	2	no	—
748	C₂×#121	—	13	2	no	—
749	C₂×#121	—	13	2	no	—
750	C₂×#121	—	13	1	no	—
751	C₂×#121	—	13	2	no	—
752	C₂×#121	—	13	2	no	—
753	C₂×#121	—	13	1	no	—
754	C₂×#121	—	13	2	no	—
755	C₂×#121	—	13	2	no	—
756	C₂×#121	—	13	2	no	—
757	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
758	C₂×#121	C₂×D₁₃	1	1	yes	characteristic, complemented
759	C₂×#121	C₂×D₁₃	1	2	yes	complemented
760	C₂×#121	C₂×D₁₃	1	2	yes	complemented
761	C₂×#120	—	13	2	no	—
762	C₂×#120	—	13	2	no	—
763	C₂×#120	—	13	2	no	—
764	C₂×#120	—	13	2	no	—
765	C₂×#120	—	13	2	no	—
766	C₂×#120	—	13	2	no	—
767	C₂×#120	—	13	2	no	—
768	C₂×#120	—	13	2	no	—
769	C₂×C₄×Q₈	—	13	1	no	—
770	C₂×C₄×Q₈	—	13	1	no	—
771	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
772	C₂×C₄×D₄	—	13	1	no	—
773	C₂×C₄×D₄	—	13	1	no	—
774	C₂×C₄×D₄	—	13	1	no	—
775	C₂×C₄×D₄	—	13	1	no	—
776	C₂×C₄×D₄	—	13	2	no	—
777	C₂×C₄×D₄	—	13	2	no	—
778	C₂×C₄×D₄	—	13	1	no	—
779	C₂×C₄×D₄	—	13	2	no	—
780	C₂×C₄×D₄	—	13	2	no	—
781	C₂×C₄×D₄	—	13	1	no	—
782	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
783	C₂×C₄×D₄	C₂×D₁₃	1	2	yes	complemented
784	C₂×#117	—	13	1	no	—
785	C₂×#117	—	13	1	no	—
786	C₂×#117	—	13	2	no	—
787	C₂²×C₄⋊C₄	—	13	2	no	—
788	C₂²×C₂²⋊C₄	—	13	2	no	—
789	C₂²×C₂²⋊C₄	—	13	2	no	—
790	C₂²×C₄²	—	13	1	no	—
791	C₂²×C₁₃	—	2	4	no	—
792	C₂²×C₁₃	—	2	2	no	—
793	C₂²×C₁₃	—	2	4	no	—
794	C₂²×C₁₃	—	2	4	no	—
795	C₂²×C₁₃	—	2	2	no	—
796	C₂²×C₁₃	—	2	2	no	—
797	C₂²×C₁₃	—	2	4	no	—
798	C₂²×C₁₃	—	2	2	no	—
799	C₂²×C₁₃	—	2	2	no	—
800	C₂²×C₁₃	—	2	4	no	—
801	C₂²×C₁₃	—	2	4	no	—
802	C₂²×C₁₃	—	2	2	no	—
803	C₂²×C₁₃	—	4	4	no	—
804	C₂²×C₁₃	—	4	8	no	—
805	C₂²×C₁₃	—	4	8	no	—
806	C₂²×C₁₃	—	4	4	no	—
807	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
808	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
809	C₂²×C₁₃	#585	1	2	yes	—
810	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
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	4	no	—
816	C₂×D₁₃	—	2	2	no	—
817	C₂×D₁₃	—	2	4	no	—
818	C₂×D₁₃	—	2	4	no	—
819	C₂×D₁₃	—	2	2	no	—
820	C₂×D₁₃	—	4	8	no	—
821	C₂×D₁₃	—	4	8	no	—
822	C₂×D₁₃	—	4	4	no	—
823	C₂×D₁₃	—	8	16	no	—
824	C₂×D₁₃	—	8	16	no	—
825	C₄×C₁₃	—	2	2	no	—
826	C₄×C₁₃	—	2	4	no	—
827	C₄×C₁₃	—	2	2	no	—
828	C₄×C₁₃	—	2	2	no	—
829	C₄×C₁₃	—	2	4	no	—
830	C₄×C₁₃	—	2	2	no	—
831	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
832	Dic₁₃	—	2	4	no	—
833	Dic₁₃	—	2	2	no	—
834	Dic₁₃	—	2	2	no	—
835	Dic₁₃	—	2	4	no	—
836	Dic₁₃	—	2	2	no	—
837	Dic₁₃	—	2	2	no	—
838	Dic₁₃	—	2	2	no	—
839	Dic₁₃	—	2	2	no	—
840	Dic₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
841	C₂⁵	—	13	2	no	—
842	C₂⁵	—	13	2	no	—
843	C₂×#41	—	4	4	no	—
844	C₂×#41	—	4	4	no	—
845	C₂×#41	—	13	16	no	—
846	C₂×#41	—	13	8	no	—
847	C₂×#41	—	13	16	no	—
848	C₂×#41	—	13	8	no	—
849	C₂×#41	—	52	4	no	—
850	C₂×#41	—	52	8	no	—
851	C₂×#41	—	52	4	no	—
852	C₂×#41	—	52	8	no	—
853	C₂×#41	C₂²×D₁₃	1	8	yes	complemented
854	C₂×#41	C₂²×D₁₃	1	8	yes	complemented
855	C₂²×Q₈	—	13	1	no	—
856	C₂²×Q₈	—	13	1	no	—
857	C₂²×Q₈	—	13	2	no	—
858	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
859	C₂²×D₄	—	13	1	no	—
860	C₂²×D₄	—	13	2	no	—
861	C₂²×D₄	—	13	2	no	—
862	C₂²×D₄	—	13	2	no	—
863	C₂²×D₄	—	13	1	no	—
864	C₂²×D₄	—	13	2	no	—
865	C₂²×D₄	—	13	2	no	—
866	C₂²×D₄	—	13	2	no	—
867	C₂²×D₄	—	13	2	no	—
868	C₂²×D₄	—	13	2	no	—
869	C₂²×D₄	—	13	2	no	—
870	C₂²×D₄	—	13	2	no	—
871	C₂²×D₄	—	13	16	no	—
872	C₂²×D₄	—	13	8	no	—
873	C₂²×D₄	—	13	1	no	—
874	C₂²×D₄	—	13	1	no	—
875	C₂²×D₄	—	13	2	no	—
876	C₂²×D₄	—	13	2	no	—
877	C₂²×D₄	—	13	8	no	—
878	C₂²×D₄	—	52	4	no	—
879	C₂²×D₄	—	52	4	no	—
880	C₂²×D₄	—	52	8	no	—
881	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
882	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
883	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
884	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
885	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
886	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
887	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
888	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
889	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
890	C₂³×C₄	—	13	2	no	—
891	C₂³×C₄	—	13	1	no	—
892	C₂³×C₄	—	13	2	no	—
893	C₂³×C₄	—	13	2	no	—
894	C₂³×C₄	—	13	1	no	—
895	C₂³×C₄	—	13	2	no	—
896	C₂³×C₄	—	13	1	no	—
897	C₂³×C₄	—	13	2	no	—
898	C₂³×C₄	—	13	2	no	—
899	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
900	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
901	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
902	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
903	C₄⋊Q₈	—	13	8	no	—
904	C₄⋊Q₈	—	13	8	no	—
905	#127	—	13	8	no	—
906	#127	—	13	8	no	—
907	#127	—	13	8	no	—
908	#127	—	13	16	no	—
909	#127	C₂²×D₁₃	1	8	yes	complemented
910	#127	C₂²×D₁₃	1	16	yes	complemented
911	#126	—	13	8	no	—
912	#126	—	13	16	no	—
913	#126	—	13	8	no	—
914	#126	—	13	16	no	—
915	#126	—	13	16	no	—
916	#126	—	13	16	no	—
917	#125	—	13	8	no	—
918	#124	—	13	8	no	—
919	#124	—	13	8	no	—
920	#124	—	13	8	no	—
921	#124	—	13	16	no	—
922	#124	—	13	8	no	—
923	#124	—	13	16	no	—
924	#124	—	13	16	no	—
925	#124	—	13	8	no	—
926	#123	—	13	8	no	—
927	#123	—	13	16	no	—
928	#123	—	13	16	no	—
929	#123	—	13	16	no	—
930	#123	—	13	16	no	—
931	#123	—	13	16	no	—
932	#123	—	13	16	no	—
933	#123	—	13	8	no	—
934	C₂²⋊Q₈	—	13	8	no	—
935	C₂²⋊Q₈	—	13	8	no	—
936	C₂²⋊Q₈	—	13	16	no	—
937	C₂²⋊Q₈	—	13	16	no	—
938	C₂²⋊Q₈	—	13	8	no	—
939	C₂²⋊Q₈	—	13	16	no	—
940	#121	—	13	8	no	—
941	#121	—	13	16	no	—
942	#121	—	13	16	no	—
943	#121	—	13	16	no	—
944	#121	—	13	16	no	—
945	#121	—	13	16	no	—
946	#121	—	13	16	no	—
947	#121	—	13	16	no	—
948	#121	—	13	16	no	—
949	#121	—	13	16	no	—
950	#121	—	13	16	no	—
951	#121	—	13	16	no	—
952	#121	—	13	8	no	—
953	#121	—	13	16	no	—
954	#121	—	13	16	no	—
955	#121	—	13	8	no	—
956	#121	—	13	16	no	—
957	#121	—	13	16	no	—
958	#121	—	13	16	no	—
959	#121	C₂²×D₁₃	1	8	yes	—
960	#121	C₂²×D₁₃	1	8	yes	complemented
961	#121	C₂²×D₁₃	1	16	yes	complemented
962	#121	C₂²×D₁₃	1	16	yes	complemented
963	#120	—	13	16	no	—
964	#120	—	13	16	no	—
965	#120	—	13	16	no	—
966	#120	—	13	16	no	—
967	#120	—	13	16	no	—
968	#120	—	13	16	no	—
969	#120	—	13	16	no	—
970	#120	—	13	16	no	—
971	C₄×Q₈	—	13	8	no	—
972	C₄×Q₈	—	13	8	no	—
973	C₄×Q₈	C₂²×D₁₃	1	8	yes	complemented
974	C₄×D₄	—	13	8	no	—
975	C₄×D₄	—	13	8	no	—
976	C₄×D₄	—	13	8	no	—
977	C₄×D₄	—	13	8	no	—
978	C₄×D₄	—	13	16	no	—
979	C₄×D₄	—	13	16	no	—
980	C₄×D₄	—	13	8	no	—
981	C₄×D₄	—	13	16	no	—
982	C₄×D₄	—	13	16	no	—
983	C₄×D₄	—	13	8	no	—
984	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
985	C₄×D₄	C₂²×D₁₃	1	16	yes	complemented
986	#117	—	13	8	no	—
987	#117	—	13	8	no	—
988	#117	—	13	16	no	—
989	C₂×C₄⋊C₄	—	13	1	no	—
990	C₂×C₄⋊C₄	—	13	2	no	—
991	C₂×C₄⋊C₄	—	13	2	no	—
992	C₂×C₄⋊C₄	—	13	2	no	—
993	C₂×C₄⋊C₄	—	13	16	no	—
994	C₂×C₄⋊C₄	—	13	1	no	—
995	C₂×C₄⋊C₄	—	13	1	no	—
996	C₂×C₄⋊C₄	—	13	1	no	—
997	C₂×C₄⋊C₄	—	13	1	no	—
998	C₂×C₄⋊C₄	—	13	1	no	—
999	C₂×C₄⋊C₄	—	13	1	no	—
1000	C₂×C₄⋊C₄	—	13	1	no	—
1001	C₂×C₄⋊C₄	—	13	2	no	—
1002	C₂×C₄⋊C₄	—	13	2	no	—
1003	C₂×C₄⋊C₄	—	13	2	no	—
1004	C₂×C₄⋊C₄	—	13	1	no	—
1005	C₂×C₄⋊C₄	—	13	1	no	—
1006	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1008	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
1009	C₂×C₂²⋊C₄	—	13	2	no	—
1010	C₂×C₂²⋊C₄	—	13	1	no	—
1011	C₂×C₂²⋊C₄	—	13	1	no	—
1012	C₂×C₂²⋊C₄	—	13	1	no	—
1013	C₂×C₂²⋊C₄	—	13	2	no	—
1014	C₂×C₂²⋊C₄	—	13	2	no	—
1015	C₂×C₂²⋊C₄	—	13	2	no	—
1016	C₂×C₂²⋊C₄	—	13	1	no	—
1017	C₂×C₂²⋊C₄	—	13	2	no	—
1018	C₂×C₂²⋊C₄	—	13	1	no	—
1019	C₂×C₂²⋊C₄	—	13	2	no	—
1020	C₂×C₂²⋊C₄	—	13	2	no	—
1021	C₂×C₂²⋊C₄	—	13	2	no	—
1022	C₂×C₂²⋊C₄	—	13	2	no	—
1023	C₂×C₂²⋊C₄	—	13	16	no	—
1024	C₂×C₂²⋊C₄	—	13	2	no	—
1025	C₂×C₂²⋊C₄	—	13	2	no	—
1026	C₂×C₂²⋊C₄	—	13	1	no	—
1027	C₂×C₂²⋊C₄	—	13	1	no	—
1028	C₂×C₂²⋊C₄	—	13	2	no	—
1029	C₂×C₂²⋊C₄	—	13	1	no	—
1030	C₂×C₂²⋊C₄	—	13	2	no	—
1031	C₂×C₂²⋊C₄	—	13	2	no	—
1032	C₂×C₂²⋊C₄	—	13	2	no	—
1033	C₂×C₂²⋊C₄	—	13	2	no	—
1034	C₂×C₂²⋊C₄	—	13	16	no	—
1035	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1037	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1038	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1039	C₂×C₄²	—	13	1	no	—
1040	C₂×C₄²	—	13	1	no	—
1041	C₂×C₄²	—	13	2	no	—
1042	C₂×C₄²	—	13	1	no	—
1043	C₂×C₄²	—	13	1	no	—
1044	C₂×C₄²	—	13	1	no	—
1045	C₂×C₄²	—	13	8	no	—
1046	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1047	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
1048	C₂×C₁₃	—	4	2	no	—
1049	C₂×C₁₃	—	4	4	no	—
1050	C₂×C₁₃	—	4	4	no	—
1051	C₂×C₁₃	—	4	2	no	—
1052	C₂×C₁₃	#3546	1	4	yes	complemented
1053	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1054	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1055	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1056	D₁₃	—	4	4	no	—
1057	D₁₃	—	4	4	no	—
1058	D₁₃	—	4	2	no	—
1059	C₂⁴	—	13	1	no	—
1060	C₂⁴	—	13	2	no	—
1061	C₂⁴	—	13	2	no	—
1062	C₂⁴	—	13	8	no	—
1063	C₂⁴	—	13	8	no	—
1064	C₂⁴	—	52	4	no	—
1065	C₂⁴	—	52	4	no	—
1066	C₂⁴	—	52	4	no	—
1067	C₂⁴	—	52	4	no	—
1068	C₂⁴	—	52	4	no	—
1069	C₂⁴	—	52	4	no	—
1070	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1071	C₂⁴	C₂³×D₁₃	1	2	yes	—
1072	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1073	C₂⁴	C₂³×D₁₃	1	2	yes	—
1074	#41	—	4	16	no	—
1075	#41	—	4	16	no	—
1076	#41	—	52	16	no	—
1077	#41	—	52	32	no	—
1078	#41	—	52	16	no	—
1079	#41	—	52	32	no	—
1080	C₂×Q₈	—	2	4	no	—
1081	C₂×Q₈	—	13	4	no	—
1082	C₂×Q₈	—	13	4	no	—
1083	C₂×Q₈	—	13	8	no	—
1084	C₂×Q₈	—	26	4	no	—
1085	C₂×Q₈	—	26	4	no	—
1086	C₂×Q₈	—	52	4	no	—
1087	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1088	C₂×D₄	—	2	4	no	—
1089	C₂×D₄	—	2	4	no	—
1090	C₂×D₄	—	4	4	no	—
1091	C₂×D₄	—	4	4	no	—
1092	C₂×D₄	—	4	4	no	—
1093	C₂×D₄	—	4	4	no	—
1094	C₂×D₄	—	4	4	no	—
1095	C₂×D₄	—	4	2	no	—
1096	C₂×D₄	—	4	4	no	—
1097	C₂×D₄	—	13	4	no	—
1098	C₂×D₄	—	13	8	no	—
1099	C₂×D₄	—	13	8	no	—
1100	C₂×D₄	—	13	8	no	—
1101	C₂×D₄	—	13	4	no	—
1102	C₂×D₄	—	13	8	no	—
1103	C₂×D₄	—	13	8	no	—
1104	C₂×D₄	—	13	8	no	—
1105	C₂×D₄	—	13	8	no	—
1106	C₂×D₄	—	13	8	no	—
1107	C₂×D₄	—	13	8	no	—
1108	C₂×D₄	—	13	8	no	—
1109	C₂×D₄	—	13	4	no	—
1110	C₂×D₄	—	13	4	no	—
1111	C₂×D₄	—	13	8	no	—
1112	C₂×D₄	—	13	8	no	—
1113	C₂×D₄	—	26	4	no	—
1114	C₂×D₄	—	26	8	no	—
1115	C₂×D₄	—	26	4	no	—
1116	C₂×D₄	—	26	4	no	—
1117	C₂×D₄	—	52	16	no	—
1118	C₂×D₄	—	52	4	no	—
1119	C₂×D₄	—	52	4	no	—
1120	C₂×D₄	—	52	16	no	—
1121	C₂×D₄	—	52	32	no	—
1122	C₂×D₄	—	52	4	no	—
1123	C₂×D₄	—	52	4	no	—
1124	C₂×D₄	—	52	4	no	—
1125	C₂×D₄	—	52	4	no	—
1126	C₂×D₄	—	52	4	no	—
1127	C₂×D₄	—	52	4	no	—
1128	C₂×D₄	—	52	4	no	—
1129	C₂×D₄	—	52	4	no	—
1130	C₂×D₄	—	52	2	no	—
1131	C₂×D₄	—	52	4	no	—
1132	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1133	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1134	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1135	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1136	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1137	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1138	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1139	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1140	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1141	C₂²×C₄	—	2	4	no	—
1142	C₂²×C₄	—	2	4	no	—
1143	C₂²×C₄	—	4	4	no	—
1144	C₂²×C₄	—	4	4	no	—
1145	C₂²×C₄	—	13	1	no	—
1146	C₂²×C₄	—	13	4	no	—
1147	C₂²×C₄	—	13	8	no	—
1148	C₂²×C₄	—	13	1	no	—
1149	C₂²×C₄	—	13	1	no	—
1150	C₂²×C₄	—	13	1	no	—
1151	C₂²×C₄	—	13	1	no	—
1152	C₂²×C₄	—	13	2	no	—
1153	C₂²×C₄	—	13	1	no	—
1154	C₂²×C₄	—	13	2	no	—
1155	C₂²×C₄	—	13	1	no	—
1156	C₂²×C₄	—	13	4	no	—
1157	C₂²×C₄	—	13	8	no	—
1158	C₂²×C₄	—	13	8	no	—
1159	C₂²×C₄	—	13	8	no	—
1160	C₂²×C₄	—	13	4	no	—
1161	C₂²×C₄	—	13	8	no	—
1162	C₂²×C₄	—	13	8	no	—
1163	C₂²×C₄	—	26	8	no	—
1164	C₂²×C₄	—	26	8	no	—
1165	C₂²×C₄	—	26	4	no	—
1166	C₂²×C₄	—	26	4	no	—
1167	C₂²×C₄	—	52	4	no	—
1168	C₂²×C₄	—	52	4	no	—
1169	C₂²×C₄	—	52	4	no	—
1170	C₂²×C₄	—	52	4	no	—
1171	C₂²×C₄	—	52	2	no	—
1172	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1173	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1174	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1176	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1178	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1181	C₂²×C₄	C₂³×D₁₃	1	8	yes	—
1182	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1183	C₄⋊C₄	—	13	4	no	—
1184	C₄⋊C₄	—	13	8	no	—
1185	C₄⋊C₄	—	13	8	no	—
1186	C₄⋊C₄	—	13	8	no	—
1187	C₄⋊C₄	—	13	4	no	—
1188	C₄⋊C₄	—	13	4	no	—
1189	C₄⋊C₄	—	13	4	no	—
1190	C₄⋊C₄	—	13	4	no	—
1191	C₄⋊C₄	—	13	4	no	—
1192	C₄⋊C₄	—	13	4	no	—
1193	C₄⋊C₄	—	13	4	no	—
1194	C₄⋊C₄	—	13	8	no	—
1195	C₄⋊C₄	—	13	8	no	—
1196	C₄⋊C₄	—	13	8	no	—
1197	C₄⋊C₄	—	13	4	no	—
1198	C₄⋊C₄	—	13	4	no	—
1199	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1200	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1201	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1202	C₂²⋊C₄	—	13	8	no	—
1203	C₂²⋊C₄	—	13	4	no	—
1204	C₂²⋊C₄	—	13	4	no	—
1205	C₂²⋊C₄	—	13	4	no	—
1206	C₂²⋊C₄	—	13	8	no	—
1207	C₂²⋊C₄	—	13	8	no	—
1208	C₂²⋊C₄	—	13	8	no	—
1209	C₂²⋊C₄	—	13	4	no	—
1210	C₂²⋊C₄	—	13	8	no	—
1211	C₂²⋊C₄	—	13	4	no	—
1212	C₂²⋊C₄	—	13	8	no	—
1213	C₂²⋊C₄	—	13	8	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	4	no	—
1219	C₂²⋊C₄	—	13	4	no	—
1220	C₂²⋊C₄	—	13	8	no	—
1221	C₂²⋊C₄	—	13	4	no	—
1222	C₂²⋊C₄	—	13	8	no	—
1223	C₂²⋊C₄	—	13	8	no	—
1224	C₂²⋊C₄	—	13	8	no	—
1225	C₂²⋊C₄	—	13	8	no	—
1226	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1227	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1228	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1229	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1230	C₄²	—	13	4	no	—
1231	C₄²	—	13	4	no	—
1232	C₄²	—	13	4	no	—
1233	C₄²	—	13	4	no	—
1234	C₄²	—	13	4	no	—
1235	C₄²	—	13	8	no	—
1236	C₄²	C₂³×D₁₃	1	4	yes	—
1237	C₄²	C₂³×D₁₃	1	8	yes	—
1238	C₁₃	C₂×#3546	1	1	yes	characteristic, complemented, Sylow
1239	C₂³	—	2	2	no	—
1240	C₂³	—	2	2	no	—
1241	C₂³	—	2	4	no	—
1242	C₂³	—	2	4	no	—
1243	C₂³	—	2	2	no	—
1244	C₂³	—	2	4	no	—
1245	C₂³	—	2	4	no	—
1246	C₂³	—	2	2	no	—
1247	C₂³	—	2	2	no	—
1248	C₂³	—	2	4	no	—
1249	C₂³	—	2	4	no	—
1250	C₂³	—	2	2	no	—
1251	C₂³	—	13	4	no	—
1252	C₂³	—	13	2	no	—
1253	C₂³	—	13	4	no	—
1254	C₂³	—	26	2	no	—
1255	C₂³	—	26	4	no	—
1256	C₂³	—	26	4	no	—
1257	C₂³	—	26	4	no	—
1258	C₂³	—	26	2	no	—
1259	C₂³	—	26	4	no	—
1260	C₂³	—	26	4	no	—
1261	C₂³	—	26	4	no	—
1262	C₂³	—	26	2	no	—
1263	C₂³	—	52	8	no	—
1264	C₂³	—	52	8	no	—
1265	C₂³	—	52	8	no	—
1266	C₂³	—	52	8	no	—
1267	C₂³	—	52	8	no	—
1268	C₂³	—	52	8	no	—
1269	C₂³	—	104	16	no	—
1270	C₂³	—	104	16	no	—
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	4	yes	—
1275	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1276	Q₈	—	2	8	no	—
1277	Q₈	—	26	8	no	—
1278	Q₈	—	26	8	no	—
1279	Q₈	—	52	8	no	—
1280	D₄	—	2	8	no	—
1281	D₄	—	2	8	no	—
1282	D₄	—	4	8	no	—
1283	D₄	—	4	4	no	—
1284	D₄	—	4	8	no	—
1285	D₄	—	4	8	no	—
1286	D₄	—	4	8	no	—
1287	D₄	—	4	8	no	—
1288	D₄	—	4	8	no	—
1289	D₄	—	26	8	no	—
1290	D₄	—	26	16	no	—
1291	D₄	—	26	8	no	—
1292	D₄	—	26	8	no	—
1293	D₄	—	52	8	no	—
1294	D₄	—	52	8	no	—
1295	D₄	—	52	8	no	—
1296	D₄	—	52	8	no	—
1297	D₄	—	52	4	no	—
1298	D₄	—	52	8	no	—
1299	D₄	—	52	8	no	—
1300	D₄	—	52	8	no	—
1301	D₄	—	52	8	no	—
1302	D₄	—	52	8	no	—
1303	D₄	—	52	8	no	—
1304	D₄	—	52	8	no	—
1305	C₂×C₄	—	2	2	no	—
1306	C₂×C₄	—	2	2	no	—
1307	C₂×C₄	—	2	4	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	4	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	8	no	—
1312	C₂×C₄	—	2	8	no	—
1313	C₂×C₄	—	4	8	no	—
1314	C₂×C₄	—	4	8	no	—
1315	C₂×C₄	—	13	4	no	—
1316	C₂×C₄	—	13	2	no	—
1317	C₂×C₄	—	13	2	no	—
1318	C₂×C₄	—	13	2	no	—
1319	C₂×C₄	—	13	2	no	—
1320	C₂×C₄	—	13	2	no	—
1321	C₂×C₄	—	13	2	no	—
1322	C₂×C₄	—	13	4	no	—
1323	C₂×C₄	—	13	4	no	—
1324	C₂×C₄	—	13	2	no	—
1325	C₂×C₄	—	26	16	no	—
1326	C₂×C₄	—	26	16	no	—
1327	C₂×C₄	—	26	8	no	—
1328	C₂×C₄	—	26	2	no	—
1329	C₂×C₄	—	26	4	no	—
1330	C₂×C₄	—	26	2	no	—
1331	C₂×C₄	—	26	2	no	—
1332	C₂×C₄	—	26	2	no	—
1333	C₂×C₄	—	26	4	no	—
1334	C₂×C₄	—	26	2	no	—
1335	C₂×C₄	—	26	2	no	—
1336	C₂×C₄	—	26	8	no	—
1337	C₂×C₄	—	52	8	no	—
1338	C₂×C₄	—	52	8	no	—
1339	C₂×C₄	—	52	4	no	—
1340	C₂×C₄	—	52	8	no	—
1341	C₂×C₄	—	52	8	no	—
1342	C₂×C₄	#88251	1	4	yes	—
1343	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1344	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1345	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1346	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1347	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1348	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1349	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1350	C₂²	—	2	2	no	—
1351	C₂²	—	2	4	no	—
1352	C₂²	—	2	4	no	—
1353	C₂²	—	2	2	no	—
1354	C₂²	—	2	2	no	—
1355	C₂²	—	2	2	no	—
1356	C₂²	—	2	4	no	—
1357	C₂²	—	2	4	no	—
1358	C₂²	—	2	2	no	—
1359	C₂²	—	2	4	no	—
1360	C₂²	—	2	4	no	—
1361	C₂²	—	2	2	no	—
1362	C₂²	—	4	4	no	—
1363	C₂²	—	4	8	no	—
1364	C₂²	—	4	8	no	—
1365	C₂²	—	4	4	no	—
1366	C₂²	—	26	4	no	—
1367	C₂²	—	26	4	no	—
1368	C₂²	—	26	2	no	—
1369	C₂²	—	26	2	no	—
1370	C₂²	—	26	4	no	—
1371	C₂²	—	26	4	no	—
1372	C₂²	—	26	4	no	—
1373	C₂²	—	26	4	no	—
1374	C₂²	—	26	2	no	—
1375	C₂²	—	52	8	no	—
1376	C₂²	—	52	4	no	—
1377	C₂²	—	52	8	no	—
1378	C₂²	—	104	16	no	—
1379	C₂²	—	104	16	no	—
1380	C₂²	C₂×#88251	1	2	yes	—
1381	C₂²	#11719648	1	2	yes	—
1382	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1383	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1384	C₄	—	2	4	no	—
1385	C₄	—	2	2	no	—
1386	C₄	—	2	2	no	—
1387	C₄	—	2	2	no	—
1388	C₄	—	2	4	no	—
1389	C₄	—	2	2	no	—
1390	C₄	—	13	4	no	—
1391	C₄	—	26	4	no	—
1392	C₄	—	26	2	no	—
1393	C₄	—	26	2	no	—
1394	C₄	—	26	2	no	—
1395	C₄	—	26	4	no	—
1396	C₄	—	26	2	no	—
1397	C₄	—	26	2	no	—
1398	C₄	—	26	2	no	—
1399	C₄	C₂×#88251	1	4	yes	—
1400	C₂	—	4	2	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	4	2	no	—
1403	C₂	—	4	4	no	—
1404	C₂	—	52	4	no	—
1405	C₂	—	52	2	no	—
1406	C₂	—	52	4	no	—
1407	C₂	#13129195	1	4	yes	direct product factor
1408	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1409	C₂	C₂²×#88251	1	1	yes	characteristic
1410	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×#550	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#550	D₁₃
hypocenter	C₁₃	C₂×#3546
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#550

Complements

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

N	H ≅ G/N	type
1. #13129195	C₂	direct (N × H)
2. C₂×#11719325	C₂	semidirect
3. C₂×#11719425	C₂	semidirect
4. C₂×#11719273	C₂	semidirect
5. C₂×#11719245	C₂	semidirect
6. C₂×#11719423	C₂	semidirect
7. C₂×#11719304	C₂	semidirect
8. C₂×#11719529	C₂	semidirect
9. C₂×#11719255	C₂	semidirect
10. C₂×#11719315	C₂	semidirect
11. C₂×#11719534	C₂	semidirect
12. C₂×#11719314	C₂	semidirect
13. C₂×#11719287	C₂	semidirect
14. C₂×#11719308	C₂	semidirect
15. C₂×#11719265	C₂	semidirect
16. C₂×#11719318	C₂	semidirect
17. C₂×#11719302	C₂	semidirect
18. C₂×#11719535	C₂	semidirect
19. C₂×#11719420	C₂	semidirect
20. C₂×#11719420	C₂	semidirect
21. C₂×#11719537	C₂	semidirect
22. C₂×#11719301	C₂	semidirect
23. C₂×#11719243	C₂	semidirect
24. C₂×C₁₃×#550	C₂	semidirect
25. C₂²×C₁₃×#41	C₂²	semidirect
26. C₂²×C₁₃×#41	C₂²	semidirect
27. C₂²×#6129	C₂²	semidirect
28. C₂²×#6129	C₂²	semidirect
29. C₂²×#6129	C₂²	semidirect
32. C₂²×#6127	C₂²	semidirect
34. C₁₃×#550	C₂²	semidirect
35. C₂×C₁₃×#127	C₂²	semidirect
36. C₂×C₁₃×#127	C₂²	semidirect
38. C₂×C₁₃×#121	C₂²	semidirect
39. C₂×C₁₃×#121	C₂²	semidirect
40. C₂×C₁₃×#121	C₂²	semidirect
41. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
42. C₂×C₄×D₄×C₁₃	C₂²	semidirect
43. C₂×C₄×D₄×C₁₃	C₂²	semidirect
44. #11719537	C₂²	semidirect
45. #11719535	C₂²	semidirect
46. #11719534	C₂²	semidirect
47. #11719529	C₂²	semidirect
49. C₂×#88201	C₂²	semidirect
50. C₂×#88200	C₂²	semidirect
51. C₂×#88198	C₂²	semidirect
54. C₂×#88194	C₂²	semidirect
55. C₂×#88194	C₂²	semidirect
58. C₂×#88193	C₂²	semidirect
59. C₂×#88193	C₂²	semidirect
60. C₂×#88193	C₂²	semidirect
61. C₂×#88193	C₂²	semidirect
62. C₂×#88193	C₂²	semidirect
63. C₂×#88193	C₂²	semidirect
64. C₂×#88193	C₂²	semidirect
65. C₂×#88193	C₂²	semidirect
66. C₂×#88193	C₂²	semidirect
67. C₂×#88192	C₂²	semidirect
69. C₂×#88191	C₂²	semidirect
70. C₂×#88191	C₂²	semidirect
71. C₂×#88191	C₂²	semidirect
72. C₂×#88191	C₂²	semidirect
73. C₂×#88191	C₂²	semidirect
74. C₂×#88191	C₂²	semidirect
75. C₂×#88190	C₂²	semidirect
76. C₂×#88190	C₂²	semidirect
77. C₂×#88189	C₂²	semidirect
78. C₂×#88189	C₂²	semidirect
79. C₂×#88189	C₂²	semidirect
80. C₂×D₄×Dic₁₃	C₂²	semidirect
81. C₂×D₄×Dic₁₃	C₂²	semidirect
83. C₂×#88184	C₂²	semidirect
84. C₂×#88184	C₂²	semidirect
85. C₂×#88183	C₂²	semidirect
86. C₂×#88183	C₂²	semidirect
88. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
89. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
90. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
91. C₂²×#6103	C₂²	semidirect
92. C₂×#88180	C₂²	semidirect
93. C₂×#88178	C₂²	semidirect
94. C₂²×#6101	C₂²	semidirect
95. C₂²×C₄×Dic₁₃	C₂²	semidirect
96. #11719425	C₂²	semidirect
97. #11719423	C₂²	semidirect
98. #11719420	C₂²	semidirect
99. #11719420	C₂²	semidirect
100. #11719325	C₂²	semidirect
101. #11719318	C₂²	semidirect
102. #11719315	C₂²	semidirect
103. #11719314	C₂²	semidirect
104. #11719308	C₂²	semidirect
105. #11719304	C₂²	semidirect
106. #11719302	C₂²	semidirect
107. #11719301	C₂²	semidirect
108. #11719287	C₂²	semidirect
109. #11719273	C₂²	semidirect
110. #11719265	C₂²	semidirect
111. #11719255	C₂²	semidirect
112. #11719245	C₂²	semidirect
113. #11719243	C₂²	semidirect
114. C₂×#88152	C₂²	semidirect
115. C₂×#88152	C₂²	semidirect
116. C₂×#88150	C₂²	semidirect
117. C₂×#88150	C₂²	semidirect
119. C₂×#88148	C₂²	semidirect
120. C₂×#88148	C₂²	semidirect
122. C₂×#88143	C₂²	semidirect
123. C₂×#88142	C₂²	semidirect
124. C₂×#88141	C₂²	semidirect
125. C₂×#88140	C₂²	semidirect
127. C₂×#88139	C₂²	semidirect
129. C₂×#88138	C₂²	semidirect
130. C₂×#88138	C₂²	semidirect
132. C₂×#88135	C₂²	semidirect
133. C₂×#88135	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
135. C₂×#88133	C₂²	semidirect
136. C₂×#88133	C₂²	semidirect
137. C₂×#88132	C₂²	semidirect
138. C₂×#88132	C₂²	semidirect
139. C₂×#88130	C₂²	semidirect
140. C₂×#88130	C₂²	semidirect
142. C₂×#88129	C₂²	semidirect
143. C₂×C₄×D₅₂	C₂²	semidirect
144. C₂×#88126	C₂²	semidirect
145. C₂×#88126	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
151. C₂×C₁₃×#41	C₂³	semidirect
152. C₂×C₁₃×#41	C₂³	semidirect
187. C₂×#6129	C₂³	semidirect
188. C₂×#6129	C₂³	semidirect
189. C₂×#6129	C₂³	semidirect
195. C₂×#6127	C₂³	semidirect
209. C₁₃×#127	C₂³	semidirect
210. C₁₃×#127	C₂³	semidirect
212. C₁₃×#121	C₂³	semidirect
213. C₁₃×#121	C₂³	semidirect
214. C₁₃×#121	C₂³	semidirect
215. C₄×Q₈×C₁₃	C₂³	semidirect
216. C₄×D₄×C₁₃	C₂³	semidirect
217. C₄×D₄×C₁₃	C₂³	semidirect
237. #88201	C₂³	semidirect
238. #88200	C₂³	semidirect
239. #88198	C₂³	semidirect
242. #88194	C₂³	semidirect
243. #88194	C₂³	semidirect
246. #88193	C₂³	semidirect
247. #88193	C₂³	semidirect
248. #88193	C₂³	semidirect
249. #88193	C₂³	semidirect
250. #88193	C₂³	semidirect
251. #88193	C₂³	semidirect
252. #88193	C₂³	semidirect
253. #88193	C₂³	semidirect
254. #88193	C₂³	semidirect
255. #88192	C₂³	semidirect
257. #88191	C₂³	semidirect
258. #88191	C₂³	semidirect
259. #88191	C₂³	semidirect
260. #88191	C₂³	semidirect
261. #88191	C₂³	semidirect
262. #88191	C₂³	semidirect
263. #88190	C₂³	semidirect
264. #88190	C₂³	semidirect
265. #88189	C₂³	semidirect
266. #88189	C₂³	semidirect
267. #88189	C₂³	semidirect
268. D₄×Dic₁₃	C₂³	semidirect
269. D₄×Dic₁₃	C₂³	semidirect
271. #88184	C₂³	semidirect
272. #88184	C₂³	semidirect
273. #88183	C₂³	semidirect
274. #88183	C₂³	semidirect
276. C₄×C₂²⋊D₁₃	C₂³	semidirect
277. C₄×C₂²⋊D₁₃	C₂³	semidirect
278. C₄×C₂²⋊D₁₃	C₂³	semidirect
294. C₂×#6103	C₂³	semidirect
295. #88180	C₂³	semidirect
300. #88178	C₂³	semidirect
313. C₂×#6101	C₂³	semidirect
320. C₂×C₄×Dic₁₃	C₂³	semidirect
321. #88152	C₂³	semidirect
322. #88152	C₂³	semidirect
323. #88150	C₂³	semidirect
324. #88150	C₂³	semidirect
326. #88148	C₂³	semidirect
327. #88148	C₂³	semidirect
329. #88143	C₂³	semidirect
330. #88142	C₂³	semidirect
331. #88141	C₂³	semidirect
332. #88140	C₂³	semidirect
334. #88139	C₂³	semidirect
336. #88138	C₂³	semidirect
337. #88138	C₂³	semidirect
339. #88135	C₂³	semidirect
340. #88135	C₂³	semidirect
341. C₂²⋊C₄×D₁₃	C₂³	semidirect
342. #88133	C₂³	semidirect
343. #88133	C₂³	semidirect
344. #88132	C₂³	semidirect
345. #88132	C₂³	semidirect
346. #88130	C₂³	semidirect
347. #88130	C₂³	semidirect
349. #88129	C₂³	semidirect
350. C₄×D₅₂	C₂³	semidirect
351. #88126	C₂³	semidirect
352. #88126	C₂³	semidirect
353. C₄×Dic₂₆	C₂³	semidirect
541. C₂×#550	D₁₃	semidirect
673. C₂²×#41	C₂×D₁₃	semidirect
674. C₂²×#41	C₂×D₁₃	semidirect
684. #550	C₂×D₁₃	semidirect
706. C₂×#127	C₂×D₁₃	semidirect
707. C₂×#127	C₂×D₁₃	semidirect
758. C₂×#121	C₂×D₁₃	semidirect
759. C₂×#121	C₂×D₁₃	semidirect
760. C₂×#121	C₂×D₁₃	semidirect
771. C₂×C₄×Q₈	C₂×D₁₃	semidirect
782. C₂×C₄×D₄	C₂×D₁₃	semidirect
783. C₂×C₄×D₄	C₂×D₁₃	semidirect
853. C₂×#41	C₂²×D₁₃	semidirect
854. C₂×#41	C₂²×D₁₃	semidirect
909. #127	C₂²×D₁₃	semidirect
910. #127	C₂²×D₁₃	semidirect
960. #121	C₂²×D₁₃	semidirect
961. #121	C₂²×D₁₃	semidirect
962. #121	C₂²×D₁₃	semidirect
973. C₄×Q₈	C₂²×D₁₃	semidirect
984. C₄×D₄	C₂²×D₁₃	semidirect
985. C₄×D₄	C₂²×D₁₃	semidirect
1052. C₂×C₁₃	#3546	semidirect
1238. C₁₃	C₂×#3546	semidirect
1407. C₂	#13129195	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129195	2
C₂×#11719325	2
C₂×#11719425	2
C₂×#11719273	2
C₂×#11719245	2
C₂×#11719423	2
C₂×#11719304	2
C₂×#11719529	2
C₂×#11719255	2
C₂×#11719315	2
C₂×#11719534	2
C₂×#11719314	2
C₂×#11719287	2
C₂×#11719308	2
C₂×#11719265	2
C₂×#11719318	2
C₂×#11719302	2
C₂×#11719535	2
C₂×#11719420	2
C₂×#11719537	2
C₂×#11719301	2
C₂×#11719243	2
C₂×C₁₃×#550	2
C₂×#3546	13

Subgroups — C2×#13129195 #16770559

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129195 #16770559