Subgroups — C₂×#13129205 #16770560

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	#13129205	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719416	C₂	1	2	yes	maximal, complemented
3	C₂×#11719371	C₂	1	2	yes	maximal, complemented
4	C₂×#11719273	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719414	C₂	1	2	yes	maximal, complemented
6	C₂×#11719282	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719258	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719304	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719336	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719259	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719359	C₂	1	2	yes	maximal, complemented
12	C₂×#11719335	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719314	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719438	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719349	C₂	1	2	yes	maximal, complemented
16	C₂×#11719383	C₂	1	2	yes	maximal, complemented
17	C₂×#11719334	C₂	1	2	yes	maximal, complemented
18	C₂×#11719230	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719379	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#11719379	C₂	1	2	yes	maximal, complemented
21	C₂×#11719430	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719373	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#11719233	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₃×#542	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#6131	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#6131	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#6131	C₂²	1	2	yes	complemented
28	C₂²×#6129	C₂²	1	1	yes	characteristic, complemented
29	C₂²×D₄×D₁₃	C₂²	1	2	yes	—
30	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
31	C₂²×#6127	C₂²	1	2	yes	complemented
32	C₂²×#6127	C₂²	1	1	yes	characteristic, complemented
33	C₂³×D₅₂	C₂²	1	1	yes	characteristic
34	C₁₃×#542	C₂²	1	16	yes	complemented
35	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₃×#126	C₂²	1	2	yes	complemented
37	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₃×#124	C₂²	1	2	yes	complemented
39	C₂×C₁₃×#123	C₂²	1	2	yes	complemented
40	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	2	yes	complemented
42	C₂×C₁₃×#121	C₂²	1	1	yes	characteristic
43	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic, complemented
46	C₂×#88201	C₂²	1	1	yes	characteristic
47	C₂×#88201	C₂²	1	2	yes	complemented
48	C₂×#88201	C₂²	1	2	yes	complemented
49	C₂×#88200	C₂²	1	2	yes	complemented
50	C₂×#88198	C₂²	1	1	yes	characteristic, complemented
51	C₂×#88194	C₂²	1	1	yes	characteristic
52	C₂×#88194	C₂²	1	1	yes	characteristic, complemented
53	C₂×#88194	C₂²	1	2	yes	complemented
54	C₂×#88193	C₂²	1	2	yes	complemented
55	C₂×#88191	C₂²	1	2	yes	—
56	C₂×#88184	C₂²	1	2	yes	complemented
57	C₂×#88184	C₂²	1	2	yes	complemented
58	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
59	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
60	C₂²×#6103	C₂²	1	2	yes	complemented
61	#11719438	C₂²	1	16	yes	complemented
62	#11719430	C₂²	1	16	yes	complemented
63	#11719416	C₂²	1	32	yes	complemented
64	#11719414	C₂²	1	32	yes	complemented
65	#11719383	C₂²	1	32	yes	complemented
66	#11719379	C₂²	1	16	yes	complemented
67	#11719379	C₂²	1	32	yes	complemented
68	#11719373	C₂²	1	16	yes	complemented
69	#11719371	C₂²	1	32	yes	complemented
70	#11719359	C₂²	1	32	yes	complemented
71	#11719349	C₂²	1	32	yes	complemented
72	#11719336	C₂²	1	16	yes	complemented
73	#11719335	C₂²	1	16	yes	complemented
74	#11719334	C₂²	1	32	yes	complemented
75	#11719314	C₂²	1	16	yes	complemented
76	#11719304	C₂²	1	16	yes	complemented
77	#11719282	C₂²	1	16	yes	complemented
78	#11719273	C₂²	1	16	yes	complemented
79	#11719259	C₂²	1	16	yes	complemented
80	#11719258	C₂²	1	16	yes	complemented
81	#11719233	C₂²	1	16	yes	complemented
82	#11719230	C₂²	1	16	yes	complemented
83	C₂×#88152	C₂²	1	2	yes	complemented
84	C₂×#88152	C₂²	1	1	yes	characteristic, complemented
85	C₂×#88152	C₂²	1	2	yes	complemented
86	C₂×#88151	C₂²	1	1	yes	characteristic, complemented
87	C₂×#88150	C₂²	1	2	yes	complemented
88	C₂×#88150	C₂²	1	1	yes	characteristic, complemented
89	C₂×#88149	C₂²	1	1	yes	characteristic
90	C₂×#88149	C₂²	1	1	yes	characteristic
91	C₂×#88149	C₂²	1	2	yes	complemented
92	C₂×#88149	C₂²	1	2	yes	complemented
93	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
94	C₂×#88149	C₂²	1	2	yes	complemented
95	C₂×#88149	C₂²	1	2	yes	complemented
96	C₂×#88149	C₂²	1	2	yes	complemented
97	C₂×#88149	C₂²	1	2	yes	complemented
98	C₂×#88148	C₂²	1	2	yes	complemented
99	C₂×#88148	C₂²	1	2	yes	complemented
100	C₂×#88148	C₂²	1	2	yes	complemented
101	C₂×#88148	C₂²	1	1	yes	characteristic, complemented
102	C₂×#88147	C₂²	1	1	yes	characteristic
103	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
104	C₂×#88147	C₂²	1	2	yes	complemented
105	C₂×#88147	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₄⋊C₄×D₁₃	C₂²	1	2	yes	complemented
107	C₂×#88143	C₂²	1	1	yes	characteristic, complemented
108	C₂×#88141	C₂²	1	1	yes	characteristic, complemented
109	C₂×#88140	C₂²	1	2	yes	complemented
110	C₂×#88139	C₂²	1	1	yes	characteristic
111	C₂×#88138	C₂²	1	2	yes	—
112	C₂×#88138	C₂²	1	2	yes	—
113	C₂×#88138	C₂²	1	1	yes	characteristic
114	C₂×#88138	C₂²	1	2	yes	complemented
115	C₂×#88138	C₂²	1	2	yes	complemented
116	C₂×#88138	C₂²	1	2	yes	complemented
117	C₂×#88138	C₂²	1	2	yes	complemented
118	C₂×#88138	C₂²	1	2	yes	complemented
119	C₂×#88138	C₂²	1	2	yes	complemented
120	C₂×#88138	C₂²	1	2	yes	complemented
121	C₂×#88137	C₂²	1	2	yes	complemented
122	C₂×#88137	C₂²	1	1	yes	characteristic, complemented
123	C₂×#88136	C₂²	1	2	yes	—
124	C₂×#88136	C₂²	1	2	yes	complemented
125	C₂×#88136	C₂²	1	2	yes	complemented
126	C₂×#88136	C₂²	1	2	yes	complemented
127	C₂×#88136	C₂²	1	2	yes	complemented
128	C₂×#88136	C₂²	1	2	yes	complemented
129	C₂×#88136	C₂²	1	2	yes	complemented
130	C₂×#88135	C₂²	1	2	yes	complemented
131	C₂×#88135	C₂²	1	2	yes	complemented
132	C₂×#88135	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₁₃	C₂²	1	2	yes	complemented
134	C₂×#88133	C₂²	1	1	yes	characteristic, complemented
135	C₂×#88130	C₂²	1	2	yes	complemented
136	C₂×#88129	C₂²	1	1	yes	characteristic
137	C₂×#88129	C₂²	1	1	yes	characteristic, complemented
138	C₂×#88128	C₂²	1	1	yes	characteristic
139	C₂×#88128	C₂²	1	1	yes	characteristic, complemented
140	C₂×#88128	C₂²	1	2	yes	complemented
141	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₄×D₅₂	C₂²	1	2	yes	complemented
143	C₂×#88126	C₂²	1	1	yes	characteristic, complemented
144	C₂×#88126	C₂²	1	2	yes	complemented
145	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₁₃	C₂³	1	2	yes	—
148	C₂⁴×D₁₃	C₂³	1	2	yes	—
149	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
150	C₂²×Q₈×C₁₃	C₂³	1	2	yes	—
151	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
152	C₂²×D₄×C₁₃	C₂³	1	2	yes	—
153	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
154	C₂³×C₄×C₁₃	C₂³	1	2	yes	—
155	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
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	2	yes	—
161	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₁₃	C₂³	1	2	yes	—
164	C₂³×Dic₁₃	C₂³	1	2	yes	—
165	C₂×#6131	—	4	8	no	—
166	C₂×#6131	—	4	4	no	—
167	C₂×#6131	—	4	4	no	—
168	C₂×#6131	C₂³	1	16	yes	complemented
169	C₂×#6131	C₂³	1	8	yes	complemented
170	C₂×#6131	C₂³	1	8	yes	complemented
171	C₂×#6129	—	4	4	no	—
172	C₂×#6129	C₂³	1	8	yes	complemented
173	C₂×D₄×D₁₃	—	4	4	no	—
174	C₂×D₄×D₁₃	—	4	8	no	—
175	C₂×D₄×D₁₃	C₂³	1	8	yes	—
176	C₂×D₄×D₁₃	C₂³	1	16	yes	—
177	C₂×#6127	—	4	8	no	—
178	C₂×#6127	—	4	4	no	—
179	C₂×#6127	C₂³	1	8	yes	complemented
180	C₂×#6127	C₂³	1	16	yes	complemented
181	C₂²×D₅₂	—	4	4	no	—
182	C₂²×D₅₂	C₂³	1	1	yes	characteristic
183	C₂²×D₅₂	C₂³	1	1	yes	characteristic
184	C₂²×D₅₂	C₂³	1	1	yes	characteristic
185	C₂²×D₅₂	C₂³	1	1	yes	characteristic
186	C₂²×D₅₂	C₂³	1	2	yes	—
187	C₂²×D₅₂	C₂³	1	2	yes	—
188	C₂²×D₅₂	C₂³	1	2	yes	—
189	C₂²×D₅₂	C₂³	1	2	yes	—
190	C₂²×D₅₂	C₂³	1	2	yes	—
191	C₂²×D₅₂	C₂³	1	2	yes	—
192	C₂²×D₅₂	C₂³	1	2	yes	—
193	C₂²×D₅₂	C₂³	1	2	yes	—
194	C₂²×D₅₂	C₂³	1	2	yes	—
195	C₂²×D₅₂	C₂³	1	2	yes	—
196	C₂²×D₅₂	C₂³	1	8	yes	—
197	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
201	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
202	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
204	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
205	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
206	C₂²×C₄×D₁₃	C₂³	1	2	yes	—
207	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
208	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
209	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	complemented
210	C₁₃×#126	C₂³	1	16	yes	complemented
211	C₁₃×#124	C₂³	1	8	yes	complemented
212	C₁₃×#124	C₂³	1	16	yes	complemented
213	C₁₃×#123	C₂³	1	16	yes	complemented
214	C₁₃×C₂²⋊Q₈	C₂³	1	16	yes	complemented
215	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	complemented
216	C₁₃×#121	C₂³	1	8	yes	—
217	C₄×Q₈×C₁₃	C₂³	1	8	yes	complemented
218	C₄×D₄×C₁₃	C₂³	1	8	yes	complemented
219	C₁₃×#117	C₂³	1	8	yes	complemented
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
225	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₄⋊C₄	C₂³	1	2	yes	—
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
229	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
230	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
231	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
232	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₁₃×C₂²⋊C₄	C₂³	1	2	yes	—
234	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
237	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
239	#88201	C₂³	1	8	yes	—
240	#88201	C₂³	1	16	yes	complemented
241	#88201	C₂³	1	16	yes	complemented
242	#88200	C₂³	1	16	yes	complemented
243	#88198	C₂³	1	8	yes	complemented
244	#88194	C₂³	1	8	yes	—
245	#88194	C₂³	1	8	yes	complemented
246	#88194	C₂³	1	16	yes	complemented
247	#88193	C₂³	1	16	yes	complemented
248	#88191	C₂³	1	16	yes	—
249	#88184	C₂³	1	16	yes	complemented
250	#88184	C₂³	1	16	yes	complemented
251	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
252	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	complemented
253	C₂×#6103	C₂³	1	2	yes	—
254	C₂×#6103	C₂³	1	1	yes	characteristic
255	C₂×#6103	C₂³	1	2	yes	—
256	C₂×#6103	C₂³	1	1	yes	characteristic
257	C₂×#6103	C₂³	1	2	yes	—
258	C₂×#6103	C₂³	1	1	yes	characteristic
259	C₂×#6103	C₂³	1	2	yes	—
260	C₂×#6103	C₂³	1	1	yes	characteristic
261	C₂×#6103	C₂³	1	2	yes	—
262	C₂×#6103	C₂³	1	2	yes	—
263	C₂×#6103	C₂³	1	2	yes	—
264	C₂×#6103	C₂³	1	2	yes	—
265	C₂×#6103	C₂³	1	2	yes	—
266	C₂×#6103	C₂³	1	2	yes	—
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	2	yes	—
269	C₂×#6103	C₂³	1	2	yes	—
270	C₂×#6103	C₂³	1	2	yes	—
271	C₂×#6103	C₂³	1	1	yes	characteristic
272	C₂×#6103	C₂³	1	16	yes	complemented
273	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₁₃	C₂³	1	2	yes	—
276	C₂×#6101	C₂³	1	1	yes	characteristic
277	C₂×#6101	C₂³	1	1	yes	characteristic
278	C₂×#6101	C₂³	1	1	yes	characteristic
279	C₂×#6101	C₂³	1	2	yes	—
280	C₂×#6101	C₂³	1	1	yes	characteristic
281	C₂×#6101	C₂³	1	2	yes	—
282	C₂×#6101	C₂³	1	2	yes	—
283	C₂×#6101	C₂³	1	1	yes	characteristic
284	C₂×#6101	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
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	#88152	C₂³	1	16	yes	complemented
291	#88152	C₂³	1	8	yes	complemented
292	#88152	C₂³	1	16	yes	complemented
293	#88151	C₂³	1	8	yes	complemented
294	#88150	C₂³	1	8	yes	complemented
295	#88150	C₂³	1	16	yes	complemented
296	#88149	C₂³	1	8	yes	—
297	#88149	C₂³	1	8	yes	—
298	#88149	C₂³	1	8	yes	complemented
299	#88149	C₂³	1	16	yes	complemented
300	#88149	C₂³	1	16	yes	complemented
301	#88149	C₂³	1	16	yes	complemented
302	#88149	C₂³	1	16	yes	complemented
303	#88149	C₂³	1	16	yes	complemented
304	#88149	C₂³	1	16	yes	complemented
305	#88148	C₂³	1	16	yes	complemented
306	#88148	C₂³	1	8	yes	complemented
307	#88148	C₂³	1	16	yes	complemented
308	#88148	C₂³	1	16	yes	complemented
309	#88147	C₂³	1	8	yes	—
310	#88147	C₂³	1	8	yes	complemented
311	#88147	C₂³	1	16	yes	complemented
312	#88147	C₂³	1	8	yes	complemented
313	C₄⋊C₄×D₁₃	C₂³	1	16	yes	complemented
314	#88143	C₂³	1	8	yes	complemented
315	#88141	C₂³	1	8	yes	complemented
316	#88140	C₂³	1	16	yes	complemented
317	#88139	C₂³	1	8	yes	—
318	#88138	C₂³	1	8	yes	—
319	#88138	C₂³	1	16	yes	—
320	#88138	C₂³	1	16	yes	—
321	#88138	C₂³	1	16	yes	complemented
322	#88138	C₂³	1	16	yes	complemented
323	#88138	C₂³	1	16	yes	complemented
324	#88138	C₂³	1	16	yes	complemented
325	#88138	C₂³	1	16	yes	complemented
326	#88138	C₂³	1	16	yes	complemented
327	#88138	C₂³	1	16	yes	complemented
328	#88137	C₂³	1	8	yes	complemented
329	#88137	C₂³	1	16	yes	complemented
330	#88136	C₂³	1	16	yes	—
331	#88136	C₂³	1	16	yes	complemented
332	#88136	C₂³	1	16	yes	complemented
333	#88136	C₂³	1	16	yes	complemented
334	#88136	C₂³	1	16	yes	complemented
335	#88136	C₂³	1	16	yes	complemented
336	#88136	C₂³	1	16	yes	complemented
337	#88135	C₂³	1	16	yes	complemented
338	#88135	C₂³	1	16	yes	complemented
339	#88135	C₂³	1	16	yes	complemented
340	C₂²⋊C₄×D₁₃	C₂³	1	16	yes	complemented
341	#88133	C₂³	1	8	yes	complemented
342	#88130	C₂³	1	16	yes	complemented
343	#88129	C₂³	1	8	yes	—
344	#88129	C₂³	1	8	yes	complemented
345	#88128	C₂³	1	8	yes	—
346	#88128	C₂³	1	8	yes	complemented
347	#88128	C₂³	1	16	yes	complemented
348	C₄×D₅₂	C₂³	1	8	yes	complemented
349	C₄×D₅₂	C₂³	1	16	yes	complemented
350	#88126	C₂³	1	8	yes	complemented
351	#88126	C₂³	1	16	yes	complemented
352	C₄²×D₁₃	C₂³	1	8	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	C₂³×D₁₃	—	4	4	no	—
358	C₂³×D₁₃	—	4	4	no	—
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	C₂⁴	1	2	yes	—
364	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
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	C₂×Q₈×C₁₃	—	2	4	no	—
371	C₂×Q₈×C₁₃	—	4	4	no	—
372	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
373	C₂×Q₈×C₁₃	C₂⁴	1	8	yes	—
374	C₂×D₄×C₁₃	—	2	4	no	—
375	C₂×D₄×C₁₃	—	4	4	no	—
376	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
377	C₂×D₄×C₁₃	C₂⁴	1	8	yes	—
378	C₂²×C₄×C₁₃	—	2	4	no	—
379	C₂²×C₄×C₁₃	—	4	4	no	—
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
383	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
385	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
388	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
389	C₂²×C₄×C₁₃	C₂⁴	1	8	yes	—
390	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
391	C₂×C₂²⋊D₁₃	—	2	8	no	—
392	C₂×C₂²⋊D₁₃	—	2	4	no	—
393	C₂×C₂²⋊D₁₃	—	4	4	no	—
394	C₂×C₂²⋊D₁₃	—	4	4	no	—
395	C₂×C₂²⋊D₁₃	—	4	4	no	—
396	C₂×C₂²⋊D₁₃	—	4	4	no	—
397	C₂×C₂²⋊D₁₃	—	4	4	no	—
398	C₂×C₂²⋊D₁₃	—	4	2	no	—
399	C₂×C₂²⋊D₁₃	—	4	4	no	—
400	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
401	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
402	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
403	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
404	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
405	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
406	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
407	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₁₃	C₂⁴	1	8	yes	—
409	C₂²×Dic₁₃	—	4	4	no	—
410	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
414	C₂²×Dic₁₃	C₂⁴	1	2	yes	—
415	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
416	C₂²×Dic₁₃	C₂⁴	1	8	yes	—
417	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
418	#6131	—	4	32	no	—
419	#6131	—	4	16	no	—
420	#6131	—	4	16	no	—
421	#6129	—	4	16	no	—
422	D₄×D₁₃	—	4	16	no	—
423	D₄×D₁₃	—	4	32	no	—
424	#6127	—	4	32	no	—
425	#6127	—	4	16	no	—
426	C₂×D₅₂	—	2	4	no	—
427	C₂×D₅₂	—	2	4	no	—
428	C₂×D₅₂	—	2	4	no	—
429	C₂×D₅₂	—	4	16	no	—
430	C₂×D₅₂	—	4	4	no	—
431	C₂×D₅₂	—	4	4	no	—
432	C₂×D₅₂	—	4	2	no	—
433	C₂×D₅₂	—	4	4	no	—
434	C₂×D₅₂	—	4	4	no	—
435	C₂×D₅₂	—	4	4	no	—
436	C₂×D₅₂	—	4	4	no	—
437	C₂×D₅₂	—	4	4	no	—
438	C₂×D₅₂	—	4	4	no	—
439	C₂×D₅₂	—	4	4	no	—
440	C₂×D₅₂	—	4	4	no	—
441	C₂×D₅₂	C₂⁴	1	4	yes	—
442	C₂×D₅₂	C₂⁴	1	4	yes	—
443	C₂×D₅₂	C₂⁴	1	4	yes	—
444	C₂×D₅₂	C₂⁴	1	4	yes	—
445	C₂×D₅₂	C₂⁴	1	8	yes	—
446	C₂×D₅₂	C₂⁴	1	8	yes	—
447	C₂×D₅₂	C₂⁴	1	8	yes	—
448	C₂×D₅₂	C₂⁴	1	8	yes	—
449	C₂×D₅₂	C₂⁴	1	8	yes	—
450	C₂×D₅₂	C₂⁴	1	8	yes	—
451	C₂×D₅₂	C₂⁴	1	8	yes	—
452	C₂×D₅₂	C₂⁴	1	8	yes	—
453	C₂×D₅₂	C₂⁴	1	8	yes	—
454	C₂×D₅₂	C₂⁴	1	8	yes	—
455	C₂×C₄×D₁₃	—	2	4	no	—
456	C₂×C₄×D₁₃	—	2	4	no	—
457	C₂×C₄×D₁₃	—	2	8	no	—
458	C₂×C₄×D₁₃	—	2	8	no	—
459	C₂×C₄×D₁₃	—	2	4	no	—
460	C₂×C₄×D₁₃	—	4	2	no	—
461	C₂×C₄×D₁₃	—	4	4	no	—
462	C₂×C₄×D₁₃	—	4	4	no	—
463	C₂×C₄×D₁₃	—	4	4	no	—
464	C₂×C₄×D₁₃	—	4	4	no	—
465	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
466	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
467	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
468	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
469	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
470	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
471	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
472	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
473	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
474	C₂×C₄×D₁₃	C₂⁴	1	8	yes	—
475	C₂×Dic₂₆	—	2	4	no	—
476	C₂×Dic₂₆	—	2	4	no	—
477	C₂×Dic₂₆	C₂⁴	1	4	yes	—
478	C₂×Dic₂₆	C₂⁴	1	4	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×C₄⋊C₄	C₂⁴	1	4	yes	—
483	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
484	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
485	C₁₃×C₄⋊C₄	C₂⁴	1	8	yes	—
486	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
487	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
488	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
489	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
490	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
491	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
492	C₁₃×C₂²⋊C₄	C₂⁴	1	8	yes	—
493	C₄²×C₁₃	C₂⁴	1	4	yes	—
494	C₄²×C₁₃	C₂⁴	1	4	yes	—
495	C₄²×C₁₃	C₂⁴	1	8	yes	—
496	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
497	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
498	#6103	C₂⁴	1	8	yes	—
499	#6103	C₂⁴	1	4	yes	—
500	#6103	C₂⁴	1	8	yes	—
501	#6103	C₂⁴	1	4	yes	—
502	#6103	C₂⁴	1	8	yes	—
503	#6103	C₂⁴	1	4	yes	—
504	#6103	C₂⁴	1	8	yes	—
505	#6103	C₂⁴	1	4	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	8	yes	—
511	#6103	C₂⁴	1	8	yes	—
512	#6103	C₂⁴	1	4	yes	—
513	#6103	C₂⁴	1	8	yes	—
514	#6103	C₂⁴	1	8	yes	—
515	#6103	C₂⁴	1	8	yes	—
516	#6103	C₂⁴	1	4	yes	—
517	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
518	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
519	C₄⋊Dic₁₃	C₂⁴	1	8	yes	—
520	#6101	C₂⁴	1	4	yes	—
521	#6101	C₂⁴	1	4	yes	—
522	#6101	C₂⁴	1	4	yes	—
523	#6101	C₂⁴	1	8	yes	—
524	#6101	C₂⁴	1	4	yes	—
525	#6101	C₂⁴	1	8	yes	—
526	#6101	C₂⁴	1	8	yes	—
527	#6101	C₂⁴	1	4	yes	—
528	#6101	C₂⁴	1	4	yes	—
529	C₄×Dic₁₃	C₂⁴	1	4	yes	—
530	C₄×Dic₁₃	C₂⁴	1	4	yes	—
531	C₄×Dic₁₃	C₂⁴	1	4	yes	—
532	C₄×Dic₁₃	C₂⁴	1	4	yes	—
533	C₄×Dic₁₃	C₂⁴	1	8	yes	—
534	#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	—	13	1	no	—
542	C₂×#547	—	13	1	no	—
543	C₂×#546	—	13	2	no	—
544	C₂×#546	—	13	1	no	—
545	C₂×#546	—	13	1	no	—
546	C₂×D₄²	—	13	1	no	—
547	C₂×#542	—	13	1	no	—
548	C₂×#542	D₁₃	1	1	yes	characteristic, complemented
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	2	no	—
554	C₂×#535	—	13	1	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	4	no	—
560	C₂³×C₁₃	—	2	2	no	—
561	C₂³×C₁₃	—	2	2	no	—
562	C₂³×C₁₃	—	2	4	no	—
563	C₂³×C₁₃	—	2	2	no	—
564	C₂³×C₁₃	C₂⁵	1	2	yes	—
565	C₂³×C₁₃	C₂⁵	1	4	yes	—
566	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
567	C₂²×D₁₃	—	2	2	no	—
568	C₂²×D₁₃	—	2	4	no	—
569	C₂²×D₁₃	—	2	2	no	—
570	C₂²×D₁₃	—	2	2	no	—
571	C₂²×D₁₃	—	2	4	no	—
572	C₂²×D₁₃	—	2	4	no	—
573	C₂²×D₁₃	—	2	4	no	—
574	C₂²×D₁₃	—	2	4	no	—
575	C₂²×D₁₃	—	2	4	no	—
576	C₂²×D₁₃	—	2	2	no	—
577	C₂²×D₁₃	—	2	2	no	—
578	C₂²×D₁₃	—	2	4	no	—
579	C₂²×D₁₃	—	2	4	no	—
580	C₂²×D₁₃	—	2	4	no	—
581	C₂²×D₁₃	—	2	2	no	—
582	C₂²×D₁₃	—	4	8	no	—
583	C₂²×D₁₃	—	4	8	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	—	8	16	no	—
589	C₂²×D₁₃	—	8	16	no	—
590	C₂²×D₁₃	C₂⁵	1	4	yes	—
591	C₂²×D₁₃	C₂⁵	1	2	yes	—
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	Q₈×C₁₃	—	4	8	no	—
597	D₄×C₁₃	—	2	8	no	—
598	D₄×C₁₃	—	4	8	no	—
599	C₂×C₄×C₁₃	—	2	2	no	—
600	C₂×C₄×C₁₃	—	2	4	no	—
601	C₂×C₄×C₁₃	—	2	4	no	—
602	C₂×C₄×C₁₃	—	2	2	no	—
603	C₂×C₄×C₁₃	—	2	2	no	—
604	C₂×C₄×C₁₃	—	2	4	no	—
605	C₂×C₄×C₁₃	—	2	2	no	—
606	C₂×C₄×C₁₃	—	2	2	no	—
607	C₂×C₄×C₁₃	—	2	8	no	—
608	C₂×C₄×C₁₃	—	4	8	no	—
609	C₂×C₄×C₁₃	H(5,𝔽₂)	1	4	yes	—
610	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
611	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
612	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
613	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
614	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
615	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
616	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
617	C₂×C₄×C₁₃	C₂⁵	1	4	yes	—
618	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
619	C₂²⋊D₁₃	—	2	16	no	—
620	C₂²⋊D₁₃	—	2	8	no	—
621	C₂²⋊D₁₃	—	4	8	no	—
622	C₂²⋊D₁₃	—	4	8	no	—
623	C₂²⋊D₁₃	—	4	8	no	—
624	C₂²⋊D₁₃	—	4	8	no	—
625	C₂²⋊D₁₃	—	4	8	no	—
626	C₂²⋊D₁₃	—	4	4	no	—
627	C₂²⋊D₁₃	—	4	8	no	—
628	C₂×Dic₁₃	—	2	2	no	—
629	C₂×Dic₁₃	—	2	4	no	—
630	C₂×Dic₁₃	—	2	2	no	—
631	C₂×Dic₁₃	—	2	2	no	—
632	C₂×Dic₁₃	—	2	2	no	—
633	C₂×Dic₁₃	—	2	2	no	—
634	C₂×Dic₁₃	—	4	8	no	—
635	C₂×Dic₁₃	H(5,𝔽₂)	1	4	yes	—
636	C₂×Dic₁₃	C₂⁵	1	2	yes	—
637	C₂×Dic₁₃	C₂⁵	1	2	yes	—
638	C₂×Dic₁₃	C₂⁵	1	2	yes	—
639	C₂×Dic₁₃	C₂⁵	1	2	yes	—
640	C₂×Dic₁₃	C₂⁵	1	4	yes	—
641	C₂×Dic₁₃	C₂⁵	1	2	yes	—
642	C₂×Dic₁₃	C₂⁵	1	2	yes	—
643	D₅₂	—	2	8	no	—
644	D₅₂	—	2	8	no	—
645	D₅₂	—	2	8	no	—
646	D₅₂	—	4	8	no	—
647	D₅₂	—	4	8	no	—
648	D₅₂	—	4	4	no	—
649	D₅₂	—	4	8	no	—
650	D₅₂	—	4	8	no	—
651	D₅₂	—	4	8	no	—
652	D₅₂	—	4	8	no	—
653	D₅₂	—	4	8	no	—
654	D₅₂	—	4	8	no	—
655	D₅₂	—	4	8	no	—
656	D₅₂	—	4	8	no	—
657	C₄×D₁₃	—	2	8	no	—
658	C₄×D₁₃	—	2	8	no	—
659	C₄×D₁₃	—	2	16	no	—
660	C₄×D₁₃	—	2	16	no	—
661	C₄×D₁₃	—	2	8	no	—
662	C₄×D₁₃	—	4	4	no	—
663	C₄×D₁₃	—	4	8	no	—
664	C₄×D₁₃	—	4	8	no	—
665	C₄×D₁₃	—	4	8	no	—
666	C₄×D₁₃	—	4	8	no	—
667	Dic₂₆	—	2	8	no	—
668	Dic₂₆	—	2	8	no	—
669	C₂²×#41	—	13	2	no	—
670	C₂²×#41	—	13	1	no	—
671	C₂²×#41	—	13	1	no	—
672	C₂²×#41	—	13	1	no	—
673	C₂²×#41	—	13	1	no	—
674	C₂²×#41	—	13	2	no	—
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	—	13	16	no	—
685	#547	—	13	16	no	—
686	#546	—	13	32	no	—
687	#546	—	13	16	no	—
688	#546	—	13	16	no	—
689	D₄²	—	13	16	no	—
690	#542	—	13	16	no	—
691	#542	C₂×D₁₃	1	16	yes	complemented
692	#538	—	13	32	no	—
693	#538	—	13	32	no	—
694	#537	—	13	32	no	—
695	#535	—	13	16	no	—
696	#535	—	13	32	no	—
697	#535	—	13	16	no	—
698	#532	—	13	16	no	—
699	#532	—	13	16	no	—
700	C₂×C₄⋊Q₈	—	13	1	no	—
701	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
702	C₂×#127	—	13	1	no	—
703	C₂×#127	—	13	1	no	—
704	C₂×#127	—	13	2	no	—
705	C₂×#127	—	13	1	no	—
706	C₂×#127	—	13	1	no	—
707	C₂×#127	—	13	2	no	—
708	#529	—	13	16	no	—
709	C₂×#126	—	13	1	no	—
710	C₂×#126	—	13	2	no	—
711	C₂×#126	—	13	2	no	—
712	C₂×#126	—	13	1	no	—
713	C₂×#126	—	13	2	no	—
714	C₂×#126	C₂×D₁₃	1	2	yes	complemented
715	C₂×#125	—	13	1	no	—
716	C₂×#124	—	13	1	no	—
717	C₂×#124	—	13	2	no	—
718	C₂×#124	—	13	2	no	—
719	C₂×#124	—	13	1	no	—
720	C₂×#124	—	13	1	no	—
721	C₂×#124	—	13	1	no	—
722	C₂×#124	C₂×D₁₃	1	1	yes	characteristic, complemented
723	C₂×#124	C₂×D₁₃	1	2	yes	complemented
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	1	no	—
729	C₂×#123	—	13	2	no	—
730	C₂×#123	—	13	2	no	—
731	C₂×#123	C₂×D₁₃	1	2	yes	complemented
732	C₂×C₂²⋊Q₈	—	13	2	no	—
733	C₂×C₂²⋊Q₈	—	13	1	no	—
734	C₂×C₂²⋊Q₈	—	13	2	no	—
735	C₂×C₂²⋊Q₈	—	13	1	no	—
736	C₂×C₂²⋊Q₈	C₂×D₁₃	1	2	yes	complemented
737	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
738	C₂×#121	—	13	2	no	—
739	C₂×#121	—	13	2	no	—
740	C₂×#121	—	13	2	no	—
741	C₂×#121	—	13	1	no	—
742	C₂×#121	—	13	1	no	—
743	C₂×#121	—	13	1	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	2	no	—
754	C₂×#121	—	13	2	no	—
755	C₂×#121	—	13	2	no	—
756	C₂×#121	—	13	2	no	—
757	C₂×#121	—	13	2	no	—
758	C₂×#121	—	13	2	no	—
759	C₂×#121	—	13	2	no	—
760	C₂×#121	C₂×D₁₃	1	1	yes	characteristic
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	2	no	—
776	C₂×C₄×D₄	—	13	1	no	—
777	C₂×C₄×D₄	—	13	1	no	—
778	C₂×C₄×D₄	—	13	2	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	—	13	2	no	—
783	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
784	C₂×#117	—	13	1	no	—
785	C₂×#117	—	13	2	no	—
786	C₂×#117	C₂×D₁₃	1	1	yes	characteristic, complemented
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	4	no	—
793	C₂²×C₁₃	—	2	2	no	—
794	C₂²×C₁₃	—	2	2	no	—
795	C₂²×C₁₃	—	2	4	no	—
796	C₂²×C₁₃	—	2	2	no	—
797	C₂²×C₁₃	—	4	4	no	—
798	C₂²×C₁₃	—	4	8	no	—
799	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
800	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
801	C₂²×C₁₃	#585	1	2	yes	—
802	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
803	C₂×D₁₃	—	2	2	no	—
804	C₂×D₁₃	—	2	4	no	—
805	C₂×D₁₃	—	2	2	no	—
806	C₂×D₁₃	—	2	4	no	—
807	C₂×D₁₃	—	2	2	no	—
808	C₂×D₁₃	—	2	4	no	—
809	C₂×D₁₃	—	2	4	no	—
810	C₂×D₁₃	—	2	4	no	—
811	C₂×D₁₃	—	2	4	no	—
812	C₂×D₁₃	—	2	2	no	—
813	C₂×D₁₃	—	2	2	no	—
814	C₂×D₁₃	—	2	4	no	—
815	C₂×D₁₃	—	2	4	no	—
816	C₂×D₁₃	—	2	4	no	—
817	C₂×D₁₃	—	2	2	no	—
818	C₂×D₁₃	—	4	4	no	—
819	C₂×D₁₃	—	4	8	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	4	no	—
828	C₄×C₁₃	—	2	2	no	—
829	C₄×C₁₃	—	2	2	no	—
830	C₄×C₁₃	—	2	4	no	—
831	C₄×C₁₃	—	2	2	no	—
832	C₄×C₁₃	—	2	2	no	—
833	C₄×C₁₃	C₂×H(5,𝔽₂)	1	4	yes	—
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	—	13	16	no	—
844	C₂×#41	—	13	8	no	—
845	C₂×#41	—	13	8	no	—
846	C₂×#41	—	13	8	no	—
847	C₂×#41	—	13	8	no	—
848	C₂×#41	—	13	16	no	—
849	C₂×#41	—	52	4	no	—
850	C₂×#41	—	52	8	no	—
851	C₂×#41	—	52	8	no	—
852	C₂×#41	—	52	4	no	—
853	C₂×#41	—	52	4	no	—
854	C₂×#41	—	52	4	no	—
855	C₂²×Q₈	—	13	1	no	—
856	C₂²×Q₈	—	13	1	no	—
857	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
858	C₂²×Q₈	C₂²×D₁₃	1	2	yes	—
859	C₂²×D₄	—	13	1	no	—
860	C₂²×D₄	—	13	2	no	—
861	C₂²×D₄	—	13	2	no	—
862	C₂²×D₄	—	13	1	no	—
863	C₂²×D₄	—	13	2	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	16	no	—
869	C₂²×D₄	—	13	8	no	—
870	C₂²×D₄	—	13	1	no	—
871	C₂²×D₄	—	13	1	no	—
872	C₂²×D₄	—	13	1	no	—
873	C₂²×D₄	—	13	2	no	—
874	C₂²×D₄	—	13	1	no	—
875	C₂²×D₄	—	13	2	no	—
876	C₂²×D₄	—	13	2	no	—
877	C₂²×D₄	—	13	2	no	—
878	C₂²×D₄	—	13	2	no	—
879	C₂²×D₄	—	13	2	no	—
880	C₂²×D₄	—	13	2	no	—
881	C₂²×D₄	—	13	2	no	—
882	C₂²×D₄	—	13	2	no	—
883	C₂²×D₄	—	13	2	no	—
884	C₂²×D₄	—	13	8	no	—
885	C₂²×D₄	—	52	4	no	—
886	C₂²×D₄	—	52	4	no	—
887	C₂²×D₄	—	52	8	no	—
888	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
889	C₂²×D₄	C₂²×D₁₃	1	2	yes	—
890	C₂³×C₄	—	13	2	no	—
891	C₂³×C₄	—	13	2	no	—
892	C₂³×C₄	—	13	2	no	—
893	C₂³×C₄	—	13	1	no	—
894	C₂³×C₄	—	13	1	no	—
895	C₂³×C₄	—	13	1	no	—
896	C₂³×C₄	—	13	2	no	—
897	C₂³×C₄	—	13	2	no	—
898	C₂³×C₄	—	13	2	no	—
899	C₂³×C₄	—	13	2	no	—
900	C₂³×C₄	—	13	1	no	—
901	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
902	C₂³×C₄	C₂²×D₁₃	1	2	yes	—
903	C₄⋊Q₈	—	13	8	no	—
904	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
905	#127	—	13	8	no	—
906	#127	—	13	8	no	—
907	#127	—	13	16	no	—
908	#127	—	13	8	no	—
909	#127	—	13	8	no	—
910	#127	—	13	16	no	—
911	#126	—	13	8	no	—
912	#126	—	13	16	no	—
913	#126	—	13	16	no	—
914	#126	—	13	8	no	—
915	#126	—	13	16	no	—
916	#126	C₂²×D₁₃	1	16	yes	complemented
917	#125	—	13	8	no	—
918	#124	—	13	16	no	—
919	#124	—	13	16	no	—
920	#124	—	13	8	no	—
921	#124	—	13	8	no	—
922	#124	—	13	8	no	—
923	#124	—	13	8	no	—
924	#124	C₂²×D₁₃	1	8	yes	complemented
925	#124	C₂²×D₁₃	1	16	yes	complemented
926	#123	—	13	8	no	—
927	#123	—	13	16	no	—
928	#123	—	13	16	no	—
929	#123	—	13	16	no	—
930	#123	—	13	8	no	—
931	#123	—	13	16	no	—
932	#123	—	13	16	no	—
933	#123	C₂²×D₁₃	1	16	yes	complemented
934	C₂²⋊Q₈	—	13	16	no	—
935	C₂²⋊Q₈	—	13	8	no	—
936	C₂²⋊Q₈	—	13	16	no	—
937	C₂²⋊Q₈	—	13	8	no	—
938	C₂²⋊Q₈	C₂²×D₁₃	1	16	yes	complemented
939	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	complemented
940	#121	—	13	16	no	—
941	#121	—	13	16	no	—
942	#121	—	13	16	no	—
943	#121	—	13	8	no	—
944	#121	—	13	8	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	8	no	—
952	#121	—	13	8	no	—
953	#121	—	13	16	no	—
954	#121	—	13	16	no	—
955	#121	—	13	16	no	—
956	#121	—	13	16	no	—
957	#121	—	13	16	no	—
958	#121	—	13	16	no	—
959	#121	—	13	16	no	—
960	#121	—	13	16	no	—
961	#121	—	13	16	no	—
962	#121	C₂²×D₁₃	1	8	yes	—
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	16	no	—
978	C₄×D₄	—	13	8	no	—
979	C₄×D₄	—	13	8	no	—
980	C₄×D₄	—	13	16	no	—
981	C₄×D₄	—	13	16	no	—
982	C₄×D₄	—	13	16	no	—
983	C₄×D₄	—	13	8	no	—
984	C₄×D₄	—	13	16	no	—
985	C₄×D₄	C₂²×D₁₃	1	8	yes	complemented
986	#117	—	13	8	no	—
987	#117	—	13	16	no	—
988	#117	C₂²×D₁₃	1	8	yes	complemented
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	1	no	—
993	C₂×C₄⋊C₄	—	13	1	no	—
994	C₂×C₄⋊C₄	—	13	1	no	—
995	C₂×C₄⋊C₄	—	13	1	no	—
996	C₂×C₄⋊C₄	—	13	1	no	—
997	C₂×C₄⋊C₄	—	13	2	no	—
998	C₂×C₄⋊C₄	—	13	2	no	—
999	C₂×C₄⋊C₄	—	13	1	no	—
1000	C₂×C₄⋊C₄	—	13	1	no	—
1001	C₂×C₄⋊C₄	—	13	16	no	—
1002	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
1003	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1004	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1005	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1006	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1007	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
1008	C₂×C₄⋊C₄	C₂²×D₁₃	1	2	yes	—
1009	C₂×C₂²⋊C₄	—	13	1	no	—
1010	C₂×C₂²⋊C₄	—	13	1	no	—
1011	C₂×C₂²⋊C₄	—	13	1	no	—
1012	C₂×C₂²⋊C₄	—	13	2	no	—
1013	C₂×C₂²⋊C₄	—	13	2	no	—
1014	C₂×C₂²⋊C₄	—	13	2	no	—
1015	C₂×C₂²⋊C₄	—	13	2	no	—
1016	C₂×C₂²⋊C₄	—	13	16	no	—
1017	C₂×C₂²⋊C₄	—	13	2	no	—
1018	C₂×C₂²⋊C₄	—	13	2	no	—
1019	C₂×C₂²⋊C₄	—	13	1	no	—
1020	C₂×C₂²⋊C₄	—	13	1	no	—
1021	C₂×C₂²⋊C₄	—	13	2	no	—
1022	C₂×C₂²⋊C₄	—	13	2	no	—
1023	C₂×C₂²⋊C₄	—	13	1	no	—
1024	C₂×C₂²⋊C₄	—	13	2	no	—
1025	C₂×C₂²⋊C₄	—	13	2	no	—
1026	C₂×C₂²⋊C₄	—	13	2	no	—
1027	C₂×C₂²⋊C₄	—	13	2	no	—
1028	C₂×C₂²⋊C₄	—	13	1	no	—
1029	C₂×C₂²⋊C₄	—	13	1	no	—
1030	C₂×C₂²⋊C₄	—	13	2	no	—
1031	C₂×C₂²⋊C₄	—	13	16	no	—
1032	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
1033	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1034	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1035	C₂×C₂²⋊C₄	C₂²×D₁₃	1	2	yes	—
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	2	yes	—
1039	C₂×C₄²	—	13	1	no	—
1040	C₂×C₄²	—	13	2	no	—
1041	C₂×C₄²	—	13	1	no	—
1042	C₂×C₄²	—	13	1	no	—
1043	C₂×C₄²	—	13	1	no	—
1044	C₂×C₄²	—	13	8	no	—
1045	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1046	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
1047	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1048	C₂×C₁₃	—	4	2	no	—
1049	C₂×C₁₃	—	4	4	no	—
1050	C₂×C₁₃	#3546	1	4	yes	complemented
1051	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1052	C₂×C₁₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1053	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1054	D₁₃	—	4	2	no	—
1055	D₁₃	—	4	4	no	—
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	1	no	—
1063	C₂⁴	—	13	2	no	—
1064	C₂⁴	—	13	8	no	—
1065	C₂⁴	—	13	8	no	—
1066	C₂⁴	—	52	4	no	—
1067	C₂⁴	—	52	4	no	—
1068	C₂⁴	—	52	4	no	—
1069	C₂⁴	—	52	4	no	—
1070	C₂⁴	—	52	4	no	—
1071	C₂⁴	—	52	4	no	—
1072	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1073	C₂⁴	C₂³×D₁₃	1	2	yes	—
1074	#41	—	52	16	no	—
1075	#41	—	52	32	no	—
1076	#41	—	52	32	no	—
1077	#41	—	52	16	no	—
1078	#41	—	52	16	no	—
1079	#41	—	52	16	no	—
1080	C₂×Q₈	—	2	4	no	—
1081	C₂×Q₈	—	4	4	no	—
1082	C₂×Q₈	—	13	4	no	—
1083	C₂×Q₈	—	13	4	no	—
1084	C₂×Q₈	—	26	4	no	—
1085	C₂×Q₈	—	26	4	no	—
1086	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1087	C₂×Q₈	C₂³×D₁₃	1	8	yes	—
1088	C₂×D₄	—	2	4	no	—
1089	C₂×D₄	—	4	4	no	—
1090	C₂×D₄	—	13	4	no	—
1091	C₂×D₄	—	13	8	no	—
1092	C₂×D₄	—	13	8	no	—
1093	C₂×D₄	—	13	4	no	—
1094	C₂×D₄	—	13	8	no	—
1095	C₂×D₄	—	13	8	no	—
1096	C₂×D₄	—	13	8	no	—
1097	C₂×D₄	—	13	8	no	—
1098	C₂×D₄	—	13	8	no	—
1099	C₂×D₄	—	13	4	no	—
1100	C₂×D₄	—	13	4	no	—
1101	C₂×D₄	—	13	4	no	—
1102	C₂×D₄	—	13	8	no	—
1103	C₂×D₄	—	13	4	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	8	no	—
1110	C₂×D₄	—	13	8	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	—	26	4	no	—
1118	C₂×D₄	—	52	16	no	—
1119	C₂×D₄	—	52	4	no	—
1120	C₂×D₄	—	52	4	no	—
1121	C₂×D₄	—	52	4	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	2	no	—
1129	C₂×D₄	—	52	4	no	—
1130	C₂×D₄	—	52	16	no	—
1131	C₂×D₄	—	52	32	no	—
1132	C₂×D₄	—	52	4	no	—
1133	C₂×D₄	—	52	4	no	—
1134	C₂×D₄	—	52	4	no	—
1135	C₂×D₄	—	52	4	no	—
1136	C₂×D₄	—	52	4	no	—
1137	C₂×D₄	—	52	4	no	—
1138	C₂×D₄	—	52	2	no	—
1139	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1140	C₂×D₄	C₂³×D₁₃	1	8	yes	—
1141	C₂²×C₄	—	2	4	no	—
1142	C₂²×C₄	—	4	4	no	—
1143	C₂²×C₄	—	13	1	no	—
1144	C₂²×C₄	—	13	1	no	—
1145	C₂²×C₄	—	13	1	no	—
1146	C₂²×C₄	—	13	1	no	—
1147	C₂²×C₄	—	13	2	no	—
1148	C₂²×C₄	—	13	1	no	—
1149	C₂²×C₄	—	13	1	no	—
1150	C₂²×C₄	—	13	8	no	—
1151	C₂²×C₄	—	13	4	no	—
1152	C₂²×C₄	—	13	4	no	—
1153	C₂²×C₄	—	13	8	no	—
1154	C₂²×C₄	—	13	8	no	—
1155	C₂²×C₄	—	13	4	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	8	no	—
1161	C₂²×C₄	—	26	8	no	—
1162	C₂²×C₄	—	26	8	no	—
1163	C₂²×C₄	—	26	4	no	—
1164	C₂²×C₄	—	26	4	no	—
1165	C₂²×C₄	—	26	4	no	—
1166	C₂²×C₄	—	52	4	no	—
1167	C₂²×C₄	—	52	4	no	—
1168	C₂²×C₄	—	52	4	no	—
1169	C₂²×C₄	—	52	4	no	—
1170	C₂²×C₄	—	52	2	no	—
1171	C₂²×C₄	—	52	4	no	—
1172	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1173	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
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	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1179	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
1180	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
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	4	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	8	no	—
1192	C₄⋊C₄	—	13	8	no	—
1193	C₄⋊C₄	—	13	4	no	—
1194	C₄⋊C₄	—	13	4	no	—
1195	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1196	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1197	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1198	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1199	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1200	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1201	C₄⋊C₄	C₂³×D₁₃	1	8	yes	—
1202	C₂²⋊C₄	—	13	4	no	—
1203	C₂²⋊C₄	—	13	4	no	—
1204	C₂²⋊C₄	—	13	4	no	—
1205	C₂²⋊C₄	—	13	8	no	—
1206	C₂²⋊C₄	—	13	8	no	—
1207	C₂²⋊C₄	—	13	8	no	—
1208	C₂²⋊C₄	—	13	8	no	—
1209	C₂²⋊C₄	—	13	8	no	—
1210	C₂²⋊C₄	—	13	8	no	—
1211	C₂²⋊C₄	—	13	4	no	—
1212	C₂²⋊C₄	—	13	4	no	—
1213	C₂²⋊C₄	—	13	8	no	—
1214	C₂²⋊C₄	—	13	8	no	—
1215	C₂²⋊C₄	—	13	4	no	—
1216	C₂²⋊C₄	—	13	8	no	—
1217	C₂²⋊C₄	—	13	8	no	—
1218	C₂²⋊C₄	—	13	8	no	—
1219	C₂²⋊C₄	—	13	8	no	—
1220	C₂²⋊C₄	—	13	4	no	—
1221	C₂²⋊C₄	—	13	4	no	—
1222	C₂²⋊C₄	—	13	8	no	—
1223	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1224	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1225	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1226	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1227	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1228	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1229	C₂²⋊C₄	C₂³×D₁₃	1	8	yes	—
1230	C₄²	—	13	4	no	—
1231	C₄²	—	13	4	no	—
1232	C₄²	—	13	4	no	—
1233	C₄²	—	13	4	no	—
1234	C₄²	—	13	8	no	—
1235	C₄²	C₂³×D₁₃	1	4	yes	—
1236	C₄²	C₂³×D₁₃	1	8	yes	—
1237	C₄²	C₂³×D₁₃	1	4	yes	—
1238	C₁₃	C₂×#3546	1	1	yes	characteristic, complemented, Sylow
1239	C₂³	—	2	2	no	—
1240	C₂³	—	2	4	no	—
1241	C₂³	—	2	4	no	—
1242	C₂³	—	2	2	no	—
1243	C₂³	—	2	4	no	—
1244	C₂³	—	2	2	no	—
1245	C₂³	—	13	4	no	—
1246	C₂³	—	13	2	no	—
1247	C₂³	—	13	4	no	—
1248	C₂³	—	13	2	no	—
1249	C₂³	—	13	4	no	—
1250	C₂³	—	26	2	no	—
1251	C₂³	—	26	2	no	—
1252	C₂³	—	26	4	no	—
1253	C₂³	—	26	4	no	—
1254	C₂³	—	26	4	no	—
1255	C₂³	—	26	2	no	—
1256	C₂³	—	26	4	no	—
1257	C₂³	—	26	4	no	—
1258	C₂³	—	26	4	no	—
1259	C₂³	—	26	2	no	—
1260	C₂³	—	26	2	no	—
1261	C₂³	—	26	4	no	—
1262	C₂³	—	26	4	no	—
1263	C₂³	—	26	2	no	—
1264	C₂³	—	26	4	no	—
1265	C₂³	—	52	8	no	—
1266	C₂³	—	52	8	no	—
1267	C₂³	—	52	8	no	—
1268	C₂³	—	52	8	no	—
1269	C₂³	—	52	8	no	—
1270	C₂³	—	52	8	no	—
1271	C₂³	—	104	16	no	—
1272	C₂³	—	104	16	no	—
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	—	4	8	no	—
1278	Q₈	—	26	8	no	—
1279	Q₈	—	26	8	no	—
1280	D₄	—	2	8	no	—
1281	D₄	—	4	8	no	—
1282	D₄	—	26	8	no	—
1283	D₄	—	26	16	no	—
1284	D₄	—	26	8	no	—
1285	D₄	—	26	8	no	—
1286	D₄	—	26	8	no	—
1287	D₄	—	52	8	no	—
1288	D₄	—	52	4	no	—
1289	D₄	—	52	8	no	—
1290	D₄	—	52	8	no	—
1291	D₄	—	52	8	no	—
1292	D₄	—	52	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	8	no	—
1298	D₄	—	52	8	no	—
1299	D₄	—	52	8	no	—
1300	D₄	—	52	4	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	4	no	—
1307	C₂×C₄	—	2	2	no	—
1308	C₂×C₄	—	2	4	no	—
1309	C₂×C₄	—	2	4	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	2	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	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	4	no	—
1322	C₂×C₄	—	13	2	no	—
1323	C₂×C₄	—	26	16	no	—
1324	C₂×C₄	—	26	16	no	—
1325	C₂×C₄	—	26	8	no	—
1326	C₂×C₄	—	26	2	no	—
1327	C₂×C₄	—	26	2	no	—
1328	C₂×C₄	—	26	4	no	—
1329	C₂×C₄	—	26	2	no	—
1330	C₂×C₄	—	26	2	no	—
1331	C₂×C₄	—	26	2	no	—
1332	C₂×C₄	—	26	8	no	—
1333	C₂×C₄	—	26	8	no	—
1334	C₂×C₄	—	52	4	no	—
1335	C₂×C₄	—	52	8	no	—
1336	C₂×C₄	—	52	8	no	—
1337	C₂×C₄	—	52	8	no	—
1338	C₂×C₄	—	52	8	no	—
1339	C₂×C₄	—	52	8	no	—
1340	C₂×C₄	#88256	1	4	yes	—
1341	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1342	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1343	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1344	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1345	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1346	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1347	C₂×C₄	C₂⁴×D₁₃	1	4	yes	—
1348	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1349	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1350	C₂²	—	2	4	no	—
1351	C₂²	—	2	2	no	—
1352	C₂²	—	2	2	no	—
1353	C₂²	—	2	4	no	—
1354	C₂²	—	2	4	no	—
1355	C₂²	—	2	2	no	—
1356	C₂²	—	4	8	no	—
1357	C₂²	—	4	4	no	—
1358	C₂²	—	26	2	no	—
1359	C₂²	—	26	4	no	—
1360	C₂²	—	26	4	no	—
1361	C₂²	—	26	4	no	—
1362	C₂²	—	26	2	no	—
1363	C₂²	—	26	2	no	—
1364	C₂²	—	26	2	no	—
1365	C₂²	—	26	4	no	—
1366	C₂²	—	26	4	no	—
1367	C₂²	—	26	4	no	—
1368	C₂²	—	26	2	no	—
1369	C₂²	—	26	4	no	—
1370	C₂²	—	26	4	no	—
1371	C₂²	—	26	4	no	—
1372	C₂²	—	26	2	no	—
1373	C₂²	—	52	4	no	—
1374	C₂²	—	52	8	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×#88256	1	2	yes	—
1381	C₂²	D₁₃×H(5,𝔽₂)	1	2	yes	—
1382	C₂²	#11719652	1	2	yes	—
1383	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1384	C₄	—	2	2	no	—
1385	C₄	—	2	4	no	—
1386	C₄	—	2	4	no	—
1387	C₄	—	2	2	no	—
1388	C₄	—	2	2	no	—
1389	C₄	—	2	4	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	2	2	no	—
1392	C₄	—	13	4	no	—
1393	C₄	—	26	2	no	—
1394	C₄	—	26	2	no	—
1395	C₄	—	26	2	no	—
1396	C₄	—	26	4	no	—
1397	C₄	—	26	2	no	—
1398	C₄	—	26	2	no	—
1399	C₄	C₂×#88256	1	4	yes	—
1400	C₂	—	4	2	no	—
1401	C₂	—	4	4	no	—
1402	C₂	—	52	4	no	—
1403	C₂	—	52	2	no	—
1404	C₂	—	52	4	no	—
1405	C₂	—	52	2	no	—
1406	C₂	—	52	4	no	—
1407	C₂	#13129205	1	4	yes	direct product factor
1408	C₂	C₂×D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1409	C₂	C₂²×#88256	1	1	yes	characteristic
1410	C₂	C₂×#11719652	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#542	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#542	D₁₃
hypocenter	C₁₃	C₂×#3546
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#542

Complements

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

N	H ≅ G/N	type
1. #13129205	C₂	direct (N × H)
2. C₂×#11719416	C₂	semidirect
3. C₂×#11719371	C₂	semidirect
4. C₂×#11719273	C₂	semidirect
5. C₂×#11719414	C₂	semidirect
6. C₂×#11719282	C₂	semidirect
7. C₂×#11719258	C₂	semidirect
8. C₂×#11719304	C₂	semidirect
9. C₂×#11719336	C₂	semidirect
10. C₂×#11719259	C₂	semidirect
11. C₂×#11719359	C₂	semidirect
12. C₂×#11719335	C₂	semidirect
13. C₂×#11719314	C₂	semidirect
14. C₂×#11719438	C₂	semidirect
15. C₂×#11719349	C₂	semidirect
16. C₂×#11719383	C₂	semidirect
17. C₂×#11719334	C₂	semidirect
18. C₂×#11719230	C₂	semidirect
19. C₂×#11719379	C₂	semidirect
20. C₂×#11719379	C₂	semidirect
21. C₂×#11719430	C₂	semidirect
22. C₂×#11719373	C₂	semidirect
23. C₂×#11719233	C₂	semidirect
24. C₂×C₁₃×#542	C₂	semidirect
25. C₂²×#6131	C₂²	semidirect
26. C₂²×#6131	C₂²	semidirect
27. C₂²×#6131	C₂²	semidirect
28. C₂²×#6129	C₂²	semidirect
31. C₂²×#6127	C₂²	semidirect
32. C₂²×#6127	C₂²	semidirect
34. C₁₃×#542	C₂²	semidirect
35. C₂×C₁₃×C₄⋊Q₈	C₂²	semidirect
36. C₂×C₁₃×#126	C₂²	semidirect
37. C₂×C₁₃×#124	C₂²	semidirect
38. C₂×C₁₃×#124	C₂²	semidirect
39. C₂×C₁₃×#123	C₂²	semidirect
40. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
41. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
43. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
44. C₂×C₄×D₄×C₁₃	C₂²	semidirect
45. C₂×C₁₃×#117	C₂²	semidirect
47. C₂×#88201	C₂²	semidirect
48. C₂×#88201	C₂²	semidirect
49. C₂×#88200	C₂²	semidirect
50. C₂×#88198	C₂²	semidirect
52. C₂×#88194	C₂²	semidirect
53. C₂×#88194	C₂²	semidirect
54. C₂×#88193	C₂²	semidirect
56. C₂×#88184	C₂²	semidirect
57. C₂×#88184	C₂²	semidirect
59. C₂×C₄×C₂²⋊D₁₃	C₂²	semidirect
60. C₂²×#6103	C₂²	semidirect
61. #11719438	C₂²	semidirect
62. #11719430	C₂²	semidirect
63. #11719416	C₂²	semidirect
64. #11719414	C₂²	semidirect
65. #11719383	C₂²	semidirect
66. #11719379	C₂²	semidirect
67. #11719379	C₂²	semidirect
68. #11719373	C₂²	semidirect
69. #11719371	C₂²	semidirect
70. #11719359	C₂²	semidirect
71. #11719349	C₂²	semidirect
72. #11719336	C₂²	semidirect
73. #11719335	C₂²	semidirect
74. #11719334	C₂²	semidirect
75. #11719314	C₂²	semidirect
76. #11719304	C₂²	semidirect
77. #11719282	C₂²	semidirect
78. #11719273	C₂²	semidirect
79. #11719259	C₂²	semidirect
80. #11719258	C₂²	semidirect
81. #11719233	C₂²	semidirect
82. #11719230	C₂²	semidirect
83. C₂×#88152	C₂²	semidirect
84. C₂×#88152	C₂²	semidirect
85. C₂×#88152	C₂²	semidirect
86. C₂×#88151	C₂²	semidirect
87. C₂×#88150	C₂²	semidirect
88. C₂×#88150	C₂²	semidirect
91. C₂×#88149	C₂²	semidirect
92. C₂×#88149	C₂²	semidirect
93. C₂×#88149	C₂²	semidirect
94. C₂×#88149	C₂²	semidirect
95. C₂×#88149	C₂²	semidirect
96. C₂×#88149	C₂²	semidirect
97. C₂×#88149	C₂²	semidirect
98. C₂×#88148	C₂²	semidirect
99. C₂×#88148	C₂²	semidirect
100. C₂×#88148	C₂²	semidirect
101. C₂×#88148	C₂²	semidirect
103. C₂×#88147	C₂²	semidirect
104. C₂×#88147	C₂²	semidirect
105. C₂×#88147	C₂²	semidirect
106. C₂×C₄⋊C₄×D₁₃	C₂²	semidirect
107. C₂×#88143	C₂²	semidirect
108. C₂×#88141	C₂²	semidirect
109. C₂×#88140	C₂²	semidirect
114. C₂×#88138	C₂²	semidirect
115. C₂×#88138	C₂²	semidirect
116. C₂×#88138	C₂²	semidirect
117. C₂×#88138	C₂²	semidirect
118. C₂×#88138	C₂²	semidirect
119. C₂×#88138	C₂²	semidirect
120. C₂×#88138	C₂²	semidirect
121. C₂×#88137	C₂²	semidirect
122. C₂×#88137	C₂²	semidirect
124. C₂×#88136	C₂²	semidirect
125. C₂×#88136	C₂²	semidirect
126. C₂×#88136	C₂²	semidirect
127. C₂×#88136	C₂²	semidirect
128. C₂×#88136	C₂²	semidirect
129. C₂×#88136	C₂²	semidirect
130. C₂×#88135	C₂²	semidirect
131. C₂×#88135	C₂²	semidirect
132. C₂×#88135	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₁₃	C₂²	semidirect
134. C₂×#88133	C₂²	semidirect
135. C₂×#88130	C₂²	semidirect
137. C₂×#88129	C₂²	semidirect
139. C₂×#88128	C₂²	semidirect
140. C₂×#88128	C₂²	semidirect
141. C₂×C₄×D₅₂	C₂²	semidirect
142. C₂×C₄×D₅₂	C₂²	semidirect
143. C₂×#88126	C₂²	semidirect
144. C₂×#88126	C₂²	semidirect
145. C₂×C₄²×D₁₃	C₂²	semidirect
146. C₂×C₄×Dic₂₆	C₂²	semidirect
168. C₂×#6131	C₂³	semidirect
169. C₂×#6131	C₂³	semidirect
170. C₂×#6131	C₂³	semidirect
172. C₂×#6129	C₂³	semidirect
179. C₂×#6127	C₂³	semidirect
180. C₂×#6127	C₂³	semidirect
209. C₁₃×C₄⋊Q₈	C₂³	semidirect
210. C₁₃×#126	C₂³	semidirect
211. C₁₃×#124	C₂³	semidirect
212. C₁₃×#124	C₂³	semidirect
213. C₁₃×#123	C₂³	semidirect
214. C₁₃×C₂²⋊Q₈	C₂³	semidirect
215. C₁₃×C₂²⋊Q₈	C₂³	semidirect
217. C₄×Q₈×C₁₃	C₂³	semidirect
218. C₄×D₄×C₁₃	C₂³	semidirect
219. C₁₃×#117	C₂³	semidirect
240. #88201	C₂³	semidirect
241. #88201	C₂³	semidirect
242. #88200	C₂³	semidirect
243. #88198	C₂³	semidirect
245. #88194	C₂³	semidirect
246. #88194	C₂³	semidirect
247. #88193	C₂³	semidirect
249. #88184	C₂³	semidirect
250. #88184	C₂³	semidirect
252. C₄×C₂²⋊D₁₃	C₂³	semidirect
272. C₂×#6103	C₂³	semidirect
290. #88152	C₂³	semidirect
291. #88152	C₂³	semidirect
292. #88152	C₂³	semidirect
293. #88151	C₂³	semidirect
294. #88150	C₂³	semidirect
295. #88150	C₂³	semidirect
298. #88149	C₂³	semidirect
299. #88149	C₂³	semidirect
300. #88149	C₂³	semidirect
301. #88149	C₂³	semidirect
302. #88149	C₂³	semidirect
303. #88149	C₂³	semidirect
304. #88149	C₂³	semidirect
305. #88148	C₂³	semidirect
306. #88148	C₂³	semidirect
307. #88148	C₂³	semidirect
308. #88148	C₂³	semidirect
310. #88147	C₂³	semidirect
311. #88147	C₂³	semidirect
312. #88147	C₂³	semidirect
313. C₄⋊C₄×D₁₃	C₂³	semidirect
314. #88143	C₂³	semidirect
315. #88141	C₂³	semidirect
316. #88140	C₂³	semidirect
321. #88138	C₂³	semidirect
322. #88138	C₂³	semidirect
323. #88138	C₂³	semidirect
324. #88138	C₂³	semidirect
325. #88138	C₂³	semidirect
326. #88138	C₂³	semidirect
327. #88138	C₂³	semidirect
328. #88137	C₂³	semidirect
329. #88137	C₂³	semidirect
331. #88136	C₂³	semidirect
332. #88136	C₂³	semidirect
333. #88136	C₂³	semidirect
334. #88136	C₂³	semidirect
335. #88136	C₂³	semidirect
336. #88136	C₂³	semidirect
337. #88135	C₂³	semidirect
338. #88135	C₂³	semidirect
339. #88135	C₂³	semidirect
340. C₂²⋊C₄×D₁₃	C₂³	semidirect
341. #88133	C₂³	semidirect
342. #88130	C₂³	semidirect
344. #88129	C₂³	semidirect
346. #88128	C₂³	semidirect
347. #88128	C₂³	semidirect
348. C₄×D₅₂	C₂³	semidirect
349. C₄×D₅₂	C₂³	semidirect
350. #88126	C₂³	semidirect
351. #88126	C₂³	semidirect
352. C₄²×D₁₃	C₂³	semidirect
353. C₄×Dic₂₆	C₂³	semidirect
548. C₂×#542	D₁₃	semidirect
691. #542	C₂×D₁₃	semidirect
701. C₂×C₄⋊Q₈	C₂×D₁₃	semidirect
714. C₂×#126	C₂×D₁₃	semidirect
722. C₂×#124	C₂×D₁₃	semidirect
723. C₂×#124	C₂×D₁₃	semidirect
731. C₂×#123	C₂×D₁₃	semidirect
736. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
737. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
771. C₂×C₄×Q₈	C₂×D₁₃	semidirect
783. C₂×C₄×D₄	C₂×D₁₃	semidirect
786. C₂×#117	C₂×D₁₃	semidirect
904. C₄⋊Q₈	C₂²×D₁₃	semidirect
916. #126	C₂²×D₁₃	semidirect
924. #124	C₂²×D₁₃	semidirect
925. #124	C₂²×D₁₃	semidirect
933. #123	C₂²×D₁₃	semidirect
938. C₂²⋊Q₈	C₂²×D₁₃	semidirect
939. C₂²⋊Q₈	C₂²×D₁₃	semidirect
973. C₄×Q₈	C₂²×D₁₃	semidirect
985. C₄×D₄	C₂²×D₁₃	semidirect
988. #117	C₂²×D₁₃	semidirect
1050. C₂×C₁₃	#3546	semidirect
1238. C₁₃	C₂×#3546	semidirect
1407. C₂	#13129205	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129205	2
C₂×#11719416	2
C₂×#11719371	2
C₂×#11719273	2
C₂×#11719414	2
C₂×#11719282	2
C₂×#11719258	2
C₂×#11719304	2
C₂×#11719336	2
C₂×#11719259	2
C₂×#11719359	2
C₂×#11719335	2
C₂×#11719314	2
C₂×#11719438	2
C₂×#11719349	2
C₂×#11719383	2
C₂×#11719334	2
C₂×#11719230	2
C₂×#11719379	2
C₂×#11719430	2
C₂×#11719373	2
C₂×#11719233	2
C₂×C₁₃×#542	2
C₂×#3546	13

Subgroups — C2×#13129205 #16770560

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129205 #16770560