Subgroups — #16748282

Order 3328.

2250 conjugacy classes of subgroups.

The subgroup lattice has 1406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719255	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127046	C₂	1	2	yes	maximal, complemented
3	#13126866	C₂	1	2	yes	maximal, complemented
4	#13126791	C₂	1	2	yes	maximal, complemented
5	#13126665	C₂	1	2	yes	maximal, complemented
6	#13126544	C₂	1	2	yes	maximal, complemented
7	#13126468	C₂	1	2	yes	maximal, complemented
8	#13126362	C₂	1	2	yes	maximal, complemented
9	#13126347	C₂	1	2	yes	maximal, complemented
10	#13125835	C₂	1	1	yes	maximal, characteristic, complemented
11	#13125797	C₂	1	1	yes	maximal, characteristic, complemented
12	#13125657	C₂	1	1	yes	maximal, characteristic, complemented
13	#13125646	C₂	1	1	yes	maximal, characteristic, complemented
14	#13125613	C₂	1	1	yes	maximal, characteristic, complemented
15	#13125589	C₂	1	1	yes	maximal, characteristic, complemented
16	#13124970	C₂	1	1	yes	maximal, characteristic, complemented
17	#13124840	C₂	1	1	yes	maximal, characteristic, complemented
18	#13124094	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124062	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124052	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11718707	C₂	1	1	yes	maximal, characteristic, complemented
22	#13123871	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3520	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#6127	C₂²	1	1	yes	characteristic
25	C₂³×D₅₂	C₂²	1	1	yes	characteristic
26	C₁₃×#556	C₂²	1	1	yes	characteristic, complemented
27	C₁₃×#554	—	2	1	no	—
28	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
29	C₁₃×#552	C₂²	1	1	yes	characteristic, complemented
30	C₁₃×#551	—	2	1	no	—
31	C₁₃×#551	—	2	1	no	—
32	D₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#548	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
36	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
37	C₁₃×#546	—	2	1	no	—
38	C₁₃×#542	—	2	1	no	—
39	C₁₃×#539	—	2	1	no	—
40	C₁₃×#539	—	2	1	no	—
41	C₁₃×#533	C₂²	1	1	yes	characteristic, complemented
42	C₁₃×#529	C₂²	1	1	yes	characteristic, complemented
43	C₁₃×#525	C₂²	1	1	yes	characteristic
44	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#520	—	2	1	no	—
48	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
49	C₂×#88204	C₂²	1	2	yes	complemented
50	C₂×#88203	C₂²	1	2	yes	complemented
51	C₂×#88196	C₂²	1	2	yes	complemented
52	C₂²×#6106	C₂²	1	2	yes	complemented
53	C₂×#88191	—	2	1	no	—
54	C₂×#88184	C₂²	1	1	yes	characteristic
55	C₂×#88178	C₂²	1	1	yes	characteristic
56	#11719255	—	2	1	no	—
57	#11719255	—	2	1	no	—
58	#11719255	—	2	1	no	—
59	#11719255	—	2	1	no	—
60	#11719255	C₂²	1	2	yes	—
61	#11719255	C₂²	1	2	yes	—
62	#11719255	C₂²	1	2	yes	—
63	#11719255	C₂²	1	2	yes	—
64	C₂×#88148	—	2	1	no	—
65	C₂×#88138	—	2	1	no	—
66	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
67	C₂×#88129	C₂²	1	1	yes	characteristic
68	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
69	#11718900	C₂²	1	2	yes	complemented
70	#11718899	C₂²	1	2	yes	complemented
71	#11718889	C₂²	1	2	yes	complemented
72	#11718888	C₂²	1	2	yes	complemented
73	#11718868	C₂²	1	1	yes	characteristic
74	#11718868	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic
76	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
77	#11718750	C₂²	1	2	yes	complemented
78	#11718747	C₂²	1	2	yes	complemented
79	#11718745	C₂²	1	2	yes	complemented
80	#11718744	C₂²	1	2	yes	complemented
81	#11718729	C₂²	1	2	yes	complemented
82	#11718727	C₂²	1	2	yes	complemented
83	#11718720	C₂²	1	2	yes	complemented
84	#11718718	C₂²	1	2	yes	complemented
85	#11718713	C₂²	1	2	yes	complemented
86	#11718713	C₂²	1	2	yes	complemented
87	#11718712	C₂²	1	2	yes	complemented
88	#11718711	C₂²	1	1	yes	characteristic, complemented
89	#11718711	C₂²	1	1	yes	characteristic, complemented
90	#11718711	C₂²	1	1	yes	characteristic, complemented
91	#11718710	C₂²	1	2	yes	complemented
92	#11718709	C₂²	1	2	yes	complemented
93	#11718709	C₂²	1	2	yes	complemented
94	#11718708	C₂²	1	2	yes	complemented
95	#11718708	C₂²	1	2	yes	complemented
96	#11718708	C₂²	1	2	yes	complemented
97	#11718707	C₂²	1	1	yes	characteristic
98	#11718707	C₂²	1	1	yes	characteristic
99	#11718707	C₂²	1	1	yes	characteristic
100	#11718707	C₂²	1	1	yes	characteristic
101	#11718707	C₂²	1	1	yes	characteristic
102	#11718707	C₂²	1	1	yes	characteristic
103	#11718707	C₂²	1	2	yes	complemented
104	#11718707	C₂²	1	2	yes	complemented
105	#11718707	C₂²	1	2	yes	complemented
106	#11718704	C₂²	1	1	yes	characteristic, complemented
107	#11718704	C₂²	1	1	yes	characteristic, complemented
108	#11718704	C₂²	1	1	yes	characteristic, complemented
109	#11718702	C₂²	1	2	yes	complemented
110	#11718701	C₂²	1	1	yes	characteristic, complemented
111	#11718700	C₂²	1	2	yes	complemented
112	#11718698	C₂²	1	2	yes	complemented
113	#11718697	C₂²	1	1	yes	characteristic
114	#11718697	C₂²	1	1	yes	characteristic
115	#11718697	C₂²	1	2	yes	complemented
116	#11718694	C₂²	1	1	yes	characteristic, complemented
117	#11718689	C₂²	1	2	yes	complemented
118	#11718689	C₂²	1	2	yes	complemented
119	#11718689	C₂²	1	2	yes	complemented
120	#11718687	C₂²	1	2	yes	complemented
121	C₄×#6106	C₂²	1	2	yes	complemented
122	C₄×#6106	C₂²	1	2	yes	complemented
123	#11718677	C₂²	1	2	yes	complemented
124	#11718675	C₂²	1	2	yes	complemented
125	#11718673	C₂²	1	2	yes	complemented
126	#11718672	C₂²	1	2	yes	complemented
127	#11718672	C₂²	1	2	yes	complemented
128	D₄×#1055	C₂²	1	2	yes	complemented
129	#11718664	C₂²	1	2	yes	complemented
130	#11718663	C₂²	1	2	yes	complemented
131	#11718662	C₂²	1	2	yes	complemented
132	#11718657	C₂²	1	2	yes	complemented
133	#11718632	C₂²	1	2	yes	complemented
134	#11718629	C₂²	1	2	yes	complemented
135	#11718627	C₂²	1	2	yes	complemented
136	C₂×#88049	C₂²	1	2	yes	complemented
137	#11718587	C₂²	1	1	yes	characteristic, complemented
138	#11718586	C₂²	1	1	yes	characteristic, complemented
139	C₂⁴×D₁₃	—	2	1	no	—
140	C₂×C₁₃×#41	—	2	1	no	—
141	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
142	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic, complemented
143	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
144	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
145	C₂²×D₄×C₁₃	D₄	1	1	yes	characteristic
146	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
148	C₂²×C₂²⋊D₁₃	—	2	1	no	—
149	C₂²×C₂²⋊D₁₃	—	2	1	no	—
150	C₂×#6127	—	2	1	no	—
151	C₂×#6127	—	2	1	no	—
152	C₂×#6127	—	4	4	no	—
153	C₂×#6127	C₂³	1	2	yes	—
154	C₂×#6127	C₂³	1	2	yes	—
155	C₂²×D₅₂	—	2	1	no	—
156	C₂²×D₅₂	—	2	1	no	—
157	C₂²×D₅₂	—	2	1	no	—
158	C₂²×D₅₂	—	4	4	no	—
159	C₂²×D₅₂	C₂³	1	1	yes	characteristic
160	C₂²×D₅₂	C₂³	1	2	yes	—
161	C₂²×D₅₂	C₂³	1	2	yes	—
162	C₂²×D₅₂	C₂³	1	1	yes	characteristic
163	C₂²×C₄×D₁₃	—	2	1	no	—
164	C₂²×C₄×D₁₃	—	2	1	no	—
165	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
166	C₁₃×C₄⋊Q₈	—	2	1	no	—
167	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
168	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
169	C₁₃×#126	—	2	1	no	—
170	C₁₃×#126	—	2	1	no	—
171	C₁₃×#126	—	2	1	no	—
172	C₁₃×#126	—	2	1	no	—
173	C₁₃×#126	—	2	1	no	—
174	C₁₃×#125	—	2	1	no	—
175	C₁₃×#125	—	2	1	no	—
176	C₁₃×#125	—	2	1	no	—
177	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
178	C₁₃×#124	—	2	1	no	—
179	C₁₃×#124	—	2	1	no	—
180	C₁₃×#124	—	2	1	no	—
181	C₁₃×#124	C₂³	1	1	yes	characteristic, complemented
182	C₁₃×#123	—	2	1	no	—
183	C₁₃×#123	—	2	1	no	—
184	C₁₃×#123	—	2	1	no	—
185	C₁₃×#123	—	2	1	no	—
186	C₁₃×#123	—	2	1	no	—
187	C₁₃×#123	—	2	1	no	—
188	C₁₃×#123	—	2	1	no	—
189	C₁₃×#123	—	2	1	no	—
190	C₁₃×#123	—	2	1	no	—
191	C₁₃×C₂²⋊Q₈	—	2	1	no	—
192	C₁₃×C₂²⋊Q₈	—	2	1	no	—
193	C₁₃×C₂²⋊Q₈	—	2	1	no	—
194	C₁₃×C₂²⋊Q₈	—	2	1	no	—
195	C₁₃×C₂²⋊Q₈	—	2	1	no	—
196	C₁₃×C₂²⋊Q₈	—	2	1	no	—
197	C₁₃×C₂²⋊Q₈	—	2	1	no	—
198	C₁₃×C₂²⋊Q₈	—	2	1	no	—
199	C₁₃×C₂²⋊Q₈	—	2	1	no	—
200	C₁₃×C₂²⋊Q₈	—	2	1	no	—
201	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
202	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
203	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
204	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
205	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
206	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
207	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
208	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
209	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
210	C₁₃×#121	—	2	1	no	—
211	C₁₃×#121	—	2	1	no	—
212	C₁₃×#121	—	2	1	no	—
213	C₁₃×#121	C₂³	1	1	yes	characteristic
214	C₁₃×#121	C₂³	1	1	yes	characteristic
215	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
216	C₁₃×#120	—	2	1	no	—
217	C₁₃×#120	—	2	1	no	—
218	C₄×Q₈×C₁₃	—	2	1	no	—
219	C₄×Q₈×C₁₃	—	2	1	no	—
220	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
221	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
222	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
223	C₄×D₄×C₁₃	—	2	1	no	—
224	C₄×D₄×C₁₃	—	2	1	no	—
225	C₄×D₄×C₁₃	—	2	1	no	—
226	C₄×D₄×C₁₃	—	2	1	no	—
227	C₄×D₄×C₁₃	—	2	1	no	—
228	C₄×D₄×C₁₃	—	2	1	no	—
229	C₄×D₄×C₁₃	—	2	1	no	—
230	C₄×D₄×C₁₃	—	2	1	no	—
231	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
232	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
233	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
234	C₄×D₄×C₁₃	D₄	1	1	yes	characteristic
235	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
236	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
237	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
238	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
239	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
240	C₁₃×#117	—	2	1	no	—
241	C₁₃×#117	—	2	1	no	—
242	C₁₃×#117	—	2	1	no	—
243	C₁₃×#117	—	2	1	no	—
244	C₁₃×#117	C₂³	1	1	yes	characteristic
245	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
246	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
247	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
248	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
249	C₂×C₁₃×C₄⋊C₄	D₄	1	1	yes	characteristic
250	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
252	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
253	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
254	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
255	C₂×C₁₃×C₂²⋊C₄	D₄	1	1	yes	characteristic
256	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
258	#88204	—	4	4	no	—
259	#88203	—	4	4	no	—
260	C₂×#6107	C₂³	1	2	yes	complemented
261	C₂×#6107	C₂³	1	2	yes	complemented
262	C₂×#6107	C₂³	1	2	yes	complemented
263	#88196	—	4	4	no	—
264	C₂×#6106	—	4	4	no	—
265	C₂×#6106	C₂³	1	2	yes	—
266	C₂×#6106	C₂³	1	2	yes	—
267	C₂×#6106	C₂³	1	2	yes	—
268	C₂×#6106	C₂³	1	2	yes	—
269	C₂×#6106	C₂³	1	2	yes	—
270	C₂×#6106	C₂³	1	2	yes	—
271	#88191	—	2	2	no	—
272	#88191	—	2	2	no	—
273	#88191	—	2	2	no	—
274	#88191	—	2	2	no	—
275	C₂×#6105	C₂³	1	2	yes	complemented
276	C₂×#6104	C₂³	1	2	yes	—
277	C₂×#6104	C₂³	1	2	yes	—
278	#88184	—	2	1	no	—
279	#88184	—	2	1	no	—
280	#88184	C₂³	1	2	yes	—
281	#88184	C₂³	1	2	yes	—
282	C₂×#6103	—	2	1	no	—
283	C₂×#6103	—	2	1	no	—
284	C₂×#6103	—	2	1	no	—
285	C₂×#6103	—	2	1	no	—
286	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
287	#88178	—	2	1	no	—
288	#88178	—	2	1	no	—
289	#88178	C₂³	1	2	yes	—
290	#88178	C₂³	1	2	yes	—
291	C₂×#6101	—	2	1	no	—
292	C₂×#6099	C₂³	1	2	yes	—
293	C₂×#6099	C₂³	1	2	yes	complemented
294	C₂²×#1055	C₂³	1	2	yes	—
295	C₂²×#1055	C₂³	1	2	yes	complemented
296	#88148	—	2	2	no	—
297	#88148	—	2	2	no	—
298	#88148	—	2	2	no	—
299	#88148	—	2	2	no	—
300	#88138	—	2	2	no	—
301	#88138	—	2	2	no	—
302	#88138	—	2	2	no	—
303	#88138	—	2	2	no	—
304	C₂²⋊C₄×D₁₃	—	2	2	no	—
305	C₂²⋊C₄×D₁₃	—	2	2	no	—
306	C₂²⋊C₄×D₁₃	—	2	2	no	—
307	C₂²⋊C₄×D₁₃	—	2	2	no	—
308	#88129	—	2	1	no	—
309	#88129	—	2	1	no	—
310	#88129	C₂³	1	2	yes	—
311	#88129	C₂³	1	2	yes	—
312	C₄×D₅₂	—	2	1	no	—
313	C₄×D₅₂	—	2	1	no	—
314	C₄×D₅₂	C₂³	1	2	yes	—
315	C₄×D₅₂	C₂³	1	2	yes	—
316	#88075	C₂³	1	2	yes	complemented
317	#88075	C₂³	1	2	yes	complemented
318	#88075	C₂³	1	2	yes	complemented
319	#88072	C₂³	1	2	yes	complemented
320	C₂²⋊#1055	C₂³	1	2	yes	—
321	C₂²⋊#1055	C₂³	1	2	yes	—
322	C₂²⋊#1055	C₂³	1	1	yes	characteristic
323	C₂²⋊#1055	C₂³	1	1	yes	characteristic
324	C₂²⋊#1055	C₂³	1	1	yes	characteristic
325	C₂²⋊#1055	C₂³	1	1	yes	characteristic
326	C₂²⋊#1055	C₂³	1	2	yes	complemented
327	C₂²⋊#1055	C₂³	1	2	yes	complemented
328	#88050	C₂³	1	2	yes	complemented
329	#88050	C₂³	1	2	yes	complemented
330	#88050	C₂³	1	2	yes	complemented
331	#88050	C₂³	1	2	yes	complemented
332	#88049	C₂³	1	2	yes	—
333	#88049	C₂³	1	2	yes	—
334	#88049	C₂³	1	2	yes	—
335	#88049	C₂³	1	2	yes	—
336	#88049	C₂³	1	2	yes	—
337	#88049	C₂³	1	2	yes	—
338	#88049	C₂³	1	2	yes	—
339	#88049	C₂³	1	2	yes	—
340	#88048	C₂³	1	2	yes	complemented
341	#88048	C₂³	1	2	yes	complemented
342	#88048	C₂³	1	2	yes	complemented
343	#88047	C₂³	1	2	yes	complemented
344	C₄⋊#1055	C₂³	1	2	yes	complemented
345	C₄⋊#1055	C₂³	1	2	yes	complemented
346	#88043	C₂³	1	2	yes	complemented
347	C₄×#1055	C₂³	1	2	yes	complemented
348	#61601	—	13	1	no	maximal, Sylow
349	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
350	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
351	C₂³×D₁₃	—	2	1	no	—
352	C₂³×D₁₃	—	2	1	no	—
353	C₂³×D₁₃	—	2	2	no	—
354	C₂³×D₁₃	—	2	2	no	—
355	C₂³×D₁₃	—	4	4	no	—
356	C₂³×D₁₃	—	4	4	no	—
357	C₂³×D₁₃	—	8	2	no	—
358	C₁₃×#41	—	4	2	no	—
359	C₁₃×#41	—	4	2	no	—
360	C₁₃×#41	—	4	4	no	—
361	C₂×Q₈×C₁₃	—	2	1	no	—
362	C₂×Q₈×C₁₃	—	2	1	no	—
363	C₂×Q₈×C₁₃	—	2	1	no	—
364	C₂×Q₈×C₁₃	—	4	2	no	—
365	C₂×Q₈×C₁₃	—	4	2	no	—
366	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂×D₄×C₁₃	—	2	1	no	—
370	C₂×D₄×C₁₃	—	2	1	no	—
371	C₂×D₄×C₁₃	—	2	1	no	—
372	C₂×D₄×C₁₃	—	2	1	no	—
373	C₂×D₄×C₁₃	—	2	1	no	—
374	C₂×D₄×C₁₃	—	4	2	no	—
375	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
376	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
377	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
378	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
379	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	—	2	1	no	—
381	C₂²×C₄×C₁₃	—	2	1	no	—
382	C₂²×C₄×C₁₃	—	2	1	no	—
383	C₂²×C₄×C₁₃	—	2	1	no	—
384	C₂²×C₄×C₁₃	—	2	1	no	—
385	C₂²×C₄×C₁₃	—	2	1	no	—
386	C₂²×C₄×C₁₃	—	2	1	no	—
387	C₂²×C₄×C₁₃	—	4	2	no	—
388	C₂²×C₄×C₁₃	—	4	2	no	—
389	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
390	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
391	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
392	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
393	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
394	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
395	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
396	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
397	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂×C₂²⋊D₁₃	—	2	2	no	—
403	C₂×C₂²⋊D₁₃	—	2	2	no	—
404	C₂×C₂²⋊D₁₃	—	2	2	no	—
405	C₂×C₂²⋊D₁₃	—	2	2	no	—
406	C₂×C₂²⋊D₁₃	—	4	4	no	—
407	C₂×C₂²⋊D₁₃	—	8	2	no	—
408	C₂²×Dic₁₃	—	2	1	no	—
409	C₂²×Dic₁₃	—	2	1	no	—
410	#6127	—	2	4	no	—
411	#6127	—	2	4	no	—
412	#6127	—	4	2	no	—
413	#6127	—	4	2	no	—
414	#6127	—	4	4	no	—
415	#6127	—	4	4	no	—
416	C₂×D₅₂	—	2	1	no	—
417	C₂×D₅₂	—	2	4	no	—
418	C₂×D₅₂	—	2	4	no	—
419	C₂×D₅₂	—	2	4	no	—
420	C₂×D₅₂	—	2	1	no	—
421	C₂×D₅₂	—	2	2	no	—
422	C₂×D₅₂	—	2	2	no	—
423	C₂×D₅₂	—	4	2	no	—
424	C₂×D₅₂	—	4	2	no	—
425	C₂×D₅₂	—	4	2	no	—
426	C₂×D₅₂	—	4	4	no	—
427	C₂×D₅₂	—	4	4	no	—
428	C₂×D₅₂	—	4	4	no	—
429	C₂×D₅₂	C₂⁴	1	2	yes	—
430	C₂×D₅₂	C₂⁴	1	2	yes	—
431	C₂×C₄×D₁₃	—	2	2	no	—
432	C₂×C₄×D₁₃	—	2	2	no	—
433	C₂×C₄×D₁₃	—	2	2	no	—
434	C₂×C₄×D₁₃	—	2	2	no	—
435	C₂×C₄×D₁₃	—	4	4	no	—
436	C₂×C₄×D₁₃	—	8	2	no	—
437	C₂×Dic₂₆	—	2	1	no	—
438	C₂×Dic₂₆	—	4	2	no	—
439	C₂×Dic₂₆	C₂⁴	1	2	yes	—
440	C₁₃×C₄⋊C₄	—	2	1	no	—
441	C₁₃×C₄⋊C₄	—	2	1	no	—
442	C₁₃×C₄⋊C₄	—	2	1	no	—
443	C₁₃×C₄⋊C₄	—	2	1	no	—
444	C₁₃×C₄⋊C₄	—	2	1	no	—
445	C₁₃×C₄⋊C₄	—	2	1	no	—
446	C₁₃×C₄⋊C₄	—	2	1	no	—
447	C₁₃×C₄⋊C₄	—	2	1	no	—
448	C₁₃×C₄⋊C₄	—	2	1	no	—
449	C₁₃×C₄⋊C₄	—	2	1	no	—
450	C₁₃×C₄⋊C₄	—	2	1	no	—
451	C₁₃×C₄⋊C₄	—	2	1	no	—
452	C₁₃×C₄⋊C₄	—	2	1	no	—
453	C₁₃×C₄⋊C₄	—	2	1	no	—
454	C₁₃×C₄⋊C₄	—	2	1	no	—
455	C₁₃×C₄⋊C₄	—	2	1	no	—
456	C₁₃×C₄⋊C₄	—	2	1	no	—
457	C₁₃×C₄⋊C₄	—	2	1	no	—
458	C₁₃×C₄⋊C₄	—	2	1	no	—
459	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
460	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
461	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
462	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
463	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
464	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
465	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
466	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
467	C₁₃×C₂²⋊C₄	—	2	1	no	—
468	C₁₃×C₂²⋊C₄	—	2	1	no	—
469	C₁₃×C₂²⋊C₄	—	2	1	no	—
470	C₁₃×C₂²⋊C₄	—	2	1	no	—
471	C₁₃×C₂²⋊C₄	—	2	1	no	—
472	C₁₃×C₂²⋊C₄	—	2	1	no	—
473	C₁₃×C₂²⋊C₄	—	2	1	no	—
474	C₁₃×C₂²⋊C₄	—	2	1	no	—
475	C₁₃×C₂²⋊C₄	—	2	1	no	—
476	C₁₃×C₂²⋊C₄	—	2	1	no	—
477	C₁₃×C₂²⋊C₄	—	2	1	no	—
478	C₁₃×C₂²⋊C₄	—	2	1	no	—
479	C₁₃×C₂²⋊C₄	—	2	1	no	—
480	C₁₃×C₂²⋊C₄	—	2	1	no	—
481	C₁₃×C₂²⋊C₄	—	2	1	no	—
482	C₁₃×C₂²⋊C₄	—	2	1	no	—
483	C₁₃×C₂²⋊C₄	—	2	1	no	—
484	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
485	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
486	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
487	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
488	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
489	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
490	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
491	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
492	C₄²×C₁₃	—	2	1	no	—
493	C₄²×C₁₃	—	2	1	no	—
494	C₄²×C₁₃	—	2	1	no	—
495	C₄²×C₁₃	—	2	1	no	—
496	C₄²×C₁₃	—	2	1	no	—
497	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
498	C₄²×C₁₃	C₂×D₄	1	1	yes	characteristic
499	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
500	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
501	C₂²⋊Dic₁₃	—	2	2	no	—
502	C₂²⋊Dic₁₃	—	2	2	no	—
503	#6107	—	4	2	no	—
504	#6107	—	4	2	no	—
505	#6107	—	4	2	no	—
506	#6106	—	2	4	no	—
507	#6106	—	2	4	no	—
508	#6106	—	2	4	no	—
509	#6106	—	4	2	no	—
510	#6106	—	4	2	no	—
511	#6106	—	4	2	no	—
512	#6105	—	4	2	no	—
513	#6104	—	2	4	no	—
514	#6104	—	4	2	no	—
515	#6103	—	2	2	no	—
516	#6103	—	2	2	no	—
517	#6103	—	2	2	no	—
518	#6103	—	2	2	no	—
519	#6103	—	2	2	no	—
520	#6103	—	2	2	no	—
521	#6103	—	2	2	no	—
522	#6103	—	2	2	no	—
523	C₄⋊Dic₁₃	—	2	1	no	—
524	C₄⋊Dic₁₃	C₂⁴	1	2	yes	—
525	#6101	—	2	2	no	—
526	#6101	—	2	2	no	—
527	#6099	—	4	2	no	—
528	#6099	—	4	2	no	—
529	C₂×#1055	—	4	2	no	—
530	C₂×#1055	—	4	2	no	—
531	C₂×#1055	C₂⁴	1	2	yes	—
532	C₂×#1055	C₂⁴	1	2	yes	—
533	C₂×#1055	C₂⁴	1	2	yes	—
534	C₂×#1055	C₂⁴	1	2	yes	—
535	#3520	D₁₃	1	1	yes	characteristic, complemented
536	C₂×#546	—	13	1	no	—
537	#3323	—	13	2	no	—
538	#3311	—	13	2	no	—
539	#3306	—	13	2	no	—
540	#3296	—	13	2	no	—
541	#3282	—	13	2	no	—
542	#3275	—	13	2	no	—
543	#3267	—	13	2	no	—
544	#3266	—	13	2	no	—
545	#3215	—	13	1	no	—
546	#3211	—	13	1	no	—
547	#3195	—	13	1	no	—
548	#3194	—	13	1	no	—
549	#3190	—	13	1	no	—
550	#3187	—	13	1	no	—
551	#3114	—	13	1	no	—
552	#3101	—	13	1	no	—
553	#3007	—	13	1	no	—
554	#3003	—	13	1	no	—
555	#3002	—	13	1	no	—
556	C₂×#450	—	13	1	no	—
557	#2974	—	13	1	no	—
558	C₂³×C₁₃	—	2	2	no	—
559	C₂³×C₁₃	—	2	2	no	—
560	C₂³×C₁₃	—	2	2	no	—
561	C₂³×C₁₃	—	2	1	no	—
562	C₂³×C₁₃	—	4	1	no	—
563	C₂³×C₁₃	—	4	1	no	—
564	C₂³×C₁₃	—	4	1	no	—
565	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
566	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
567	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
568	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
569	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
570	C₂²×D₁₃	—	2	4	no	—
571	C₂²×D₁₃	—	2	2	no	—
572	C₂²×D₁₃	—	2	2	no	—
573	C₂²×D₁₃	—	4	4	no	—
574	C₂²×D₁₃	—	4	4	no	—
575	C₂²×D₁₃	—	4	2	no	—
576	C₂²×D₁₃	—	4	2	no	—
577	C₂²×D₁₃	—	4	2	no	—
578	C₂²×D₁₃	—	4	4	no	—
579	C₂²×D₁₃	—	4	2	no	—
580	C₂²×D₁₃	—	4	4	no	—
581	C₂²×D₁₃	—	4	2	no	—
582	C₂²×D₁₃	—	8	2	no	—
583	C₂²×D₁₃	—	8	2	no	—
584	C₂²×D₁₃	—	8	16	no	—
585	Q₈×C₁₃	—	2	2	no	—
586	Q₈×C₁₃	—	2	2	no	—
587	Q₈×C₁₃	—	2	2	no	—
588	Q₈×C₁₃	—	4	2	no	—
589	Q₈×C₁₃	—	8	1	no	—
590	Q₈×C₁₃	—	8	1	no	—
591	D₄×C₁₃	—	2	2	no	—
592	D₄×C₁₃	—	2	2	no	—
593	D₄×C₁₃	—	2	2	no	—
594	D₄×C₁₃	—	4	1	no	—
595	D₄×C₁₃	—	4	1	no	—
596	D₄×C₁₃	—	4	2	no	—
597	D₄×C₁₃	—	4	2	no	—
598	D₄×C₁₃	—	4	2	no	—
599	D₄×C₁₃	—	8	1	no	—
600	D₄×C₁₃	—	8	1	no	—
601	C₂×C₄×C₁₃	—	2	2	no	—
602	C₂×C₄×C₁₃	—	2	2	no	—
603	C₂×C₄×C₁₃	—	2	2	no	—
604	C₂×C₄×C₁₃	—	2	2	no	—
605	C₂×C₄×C₁₃	—	2	2	no	—
606	C₂×C₄×C₁₃	—	2	2	no	—
607	C₂×C₄×C₁₃	—	2	1	no	—
608	C₂×C₄×C₁₃	—	2	1	no	—
609	C₂×C₄×C₁₃	—	2	1	no	—
610	C₂×C₄×C₁₃	—	2	1	no	—
611	C₂×C₄×C₁₃	—	2	1	no	—
612	C₂×C₄×C₁₃	—	2	1	no	—
613	C₂×C₄×C₁₃	—	2	1	no	—
614	C₂×C₄×C₁₃	—	4	1	no	—
615	C₂×C₄×C₁₃	—	4	1	no	—
616	C₂×C₄×C₁₃	—	4	1	no	—
617	C₂×C₄×C₁₃	—	4	1	no	—
618	C₂×C₄×C₁₃	—	4	1	no	—
619	C₂×C₄×C₁₃	—	4	1	no	—
620	C₂×C₄×C₁₃	—	4	1	no	—
621	C₂×C₄×C₁₃	—	4	2	no	—
622	C₂×C₄×C₁₃	—	4	2	no	—
623	C₂×C₄×C₁₃	—	4	2	no	—
624	C₂×C₄×C₁₃	—	8	1	no	—
625	C₂×C₄×C₁₃	—	8	1	no	—
626	C₂×C₄×C₁₃	—	8	1	no	—
627	C₂×C₄×C₁₃	—	8	1	no	—
628	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
629	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
630	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
631	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
632	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
633	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
634	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
635	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
636	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
637	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
638	C₂²⋊D₁₃	—	4	4	no	—
639	C₂²⋊D₁₃	—	4	4	no	—
640	C₂²⋊D₁₃	—	8	2	no	—
641	C₂²⋊D₁₃	—	8	2	no	—
642	C₂×Dic₁₃	—	2	2	no	—
643	C₂×Dic₁₃	—	2	2	no	—
644	C₂×Dic₁₃	—	4	2	no	—
645	C₂×Dic₁₃	—	4	2	no	—
646	D₅₂	—	2	4	no	—
647	D₅₂	—	2	2	no	—
648	D₅₂	—	2	2	no	—
649	D₅₂	—	2	2	no	—
650	D₅₂	—	4	4	no	—
651	D₅₂	—	4	4	no	—
652	D₅₂	—	4	2	no	—
653	D₅₂	H(5,𝔽₂)	1	4	yes	—
654	C₄×D₁₃	—	4	4	no	—
655	C₄×D₁₃	—	4	4	no	—
656	C₄×D₁₃	—	8	2	no	—
657	C₄×D₁₃	—	8	2	no	—
658	Dic₂₆	—	2	2	no	—
659	Dic₂₆	—	2	2	no	—
660	Dic₂₆	—	4	2	no	—
661	#1055	—	2	2	no	—
662	#1055	—	2	2	no	—
663	#1055	—	2	2	no	—
664	#1055	—	2	2	no	—
665	C₂²×#41	—	13	1	no	—
666	C₂³×D₄	—	13	1	no	—
667	C₂×#137	—	13	2	no	—
668	C₂×AGL(1,ℤ/8)	—	13	2	no	—
669	C₂×#135	—	13	2	no	—
670	C₂²×SD₁₆	—	13	2	no	—
671	#556	C₂×D₁₃	1	1	yes	characteristic, complemented
672	#554	—	2	1	no	—
673	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
674	#552	C₂×D₁₃	1	1	yes	characteristic, complemented
675	#551	—	2	1	no	—
676	#551	—	2	1	no	—
677	D₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
678	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
679	#548	C₂×D₁₃	1	1	yes	characteristic, complemented
680	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
681	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
682	#546	—	2	1	no	—
683	#546	—	13	2	no	—
684	#546	—	13	2	no	—
685	#546	—	13	2	no	—
686	#546	—	13	2	no	—
687	#546	—	26	1	no	—
688	#546	—	26	1	no	—
689	#546	—	26	1	no	—
690	#546	—	26	1	no	—
691	#542	—	2	1	no	—
692	#539	—	2	1	no	—
693	#539	—	2	1	no	—
694	#533	C₂×D₁₃	1	1	yes	characteristic, complemented
695	#529	C₂×D₁₃	1	1	yes	characteristic, complemented
696	C₂×#124	—	13	1	no	—
697	#525	C₂×D₁₃	1	1	yes	characteristic
698	#525	C₂×D₁₃	1	1	yes	characteristic, complemented
699	C₂×#123	—	26	1	no	—
700	C₂×C₂²⋊Q₈	—	13	1	no	—
701	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
702	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
703	C₂×#121	—	13	1	no	—
704	C₂×#121	—	26	1	no	—
705	C₂×#120	—	26	1	no	—
706	#520	—	2	1	no	—
707	C₂×C₄×D₄	—	13	1	no	—
708	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
709	C₂²×C₂²⋊C₄	—	26	1	no	—
710	#497	—	13	2	no	—
711	#495	—	13	2	no	—
712	#489	—	13	2	no	—
713	#488	—	13	2	no	—
714	#485	—	13	2	no	—
715	#483	—	13	1	no	—
716	#483	—	13	1	no	—
717	#483	—	13	1	no	—
718	#483	—	13	2	no	—
719	#482	—	13	2	no	—
720	#481	—	13	2	no	—
721	#480	—	13	1	no	—
722	#478	—	13	2	no	—
723	#476	—	13	2	no	—
724	#470	—	13	2	no	—
725	#470	—	13	2	no	—
726	#469	—	13	2	no	—
727	#468	—	13	2	no	—
728	#467	—	13	2	no	—
729	#465	—	13	2	no	—
730	#465	—	13	2	no	—
731	#465	—	13	2	no	—
732	#464	—	13	2	no	—
733	#464	—	13	2	no	—
734	#464	—	13	2	no	—
735	#463	—	13	2	no	—
736	#463	—	13	2	no	—
737	#461	—	13	2	no	—
738	#452	—	13	2	no	—
739	#452	—	13	2	no	—
740	#452	—	13	2	no	—
741	#452	—	13	2	no	—
742	#451	—	13	2	no	—
743	#451	—	13	1	no	—
744	#451	—	13	1	no	—
745	#451	—	13	1	no	—
746	#450	—	13	1	no	—
747	#450	—	13	1	no	—
748	#450	—	13	1	no	—
749	#450	—	13	1	no	—
750	#450	—	13	1	no	—
751	#450	—	13	1	no	—
752	#450	—	13	2	no	—
753	#450	—	13	2	no	—
754	#450	—	13	2	no	—
755	#449	—	13	2	no	—
756	#449	—	13	2	no	—
757	#448	—	13	2	no	—
758	#448	—	13	1	no	—
759	#447	—	13	1	no	—
760	#447	—	13	1	no	—
761	#447	—	13	2	no	—
762	#442	—	13	2	no	—
763	#440	—	13	2	no	—
764	C₄×SD₁₆	—	13	2	no	—
765	C₄×SD₁₆	—	13	2	no	—
766	#436	—	13	2	no	—
767	#435	—	13	2	no	—
768	#435	—	13	2	no	—
769	C₈×D₄	—	13	2	no	—
770	#432	—	13	1	no	—
771	#431	—	13	1	no	—
772	#418	—	13	2	no	—
773	#417	—	13	2	no	—
774	#416	—	13	2	no	—
775	C₂×#102	—	13	2	no	—
776	#407	—	13	1	no	—
777	#407	—	13	1	no	—
778	C₂×C₂²⋊C₈	—	13	1	no	—
779	C₂×C₂²⋊C₈	—	13	1	no	—
780	C₂²×C₁₃	—	2	1	no	—
781	C₂²×C₁₃	—	2	1	no	—
782	C₂²×C₁₃	—	2	1	no	—
783	C₂²×C₁₃	—	2	1	no	—
784	C₂²×C₁₃	—	2	1	no	—
785	C₂²×C₁₃	—	2	1	no	—
786	C₂²×C₁₃	—	2	1	no	—
787	C₂²×C₁₃	—	2	1	no	—
788	C₂²×C₁₃	—	2	1	no	—
789	C₂²×C₁₃	—	2	1	no	—
790	C₂²×C₁₃	—	2	1	no	—
791	C₂²×C₁₃	—	2	1	no	—
792	C₂²×C₁₃	—	2	1	no	—
793	C₂²×C₁₃	—	4	4	no	—
794	C₂²×C₁₃	—	4	1	no	—
795	C₂²×C₁₃	—	4	1	no	—
796	C₂²×C₁₃	—	4	1	no	—
797	C₂²×C₁₃	—	8	2	no	—
798	C₂²×C₁₃	#575	1	2	yes	—
799	C₂²×C₁₃	#577	1	2	yes	—
800	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
801	C₂×D₁₃	—	2	4	no	—
802	C₂×D₁₃	—	4	8	no	—
803	C₂×D₁₃	—	4	2	no	—
804	C₂×D₁₃	—	4	2	no	—
805	C₂×D₁₃	—	4	2	no	—
806	C₂×D₁₃	—	4	2	no	—
807	C₂×D₁₃	—	4	2	no	—
808	C₂×D₁₃	—	8	8	no	—
809	C₂×D₁₃	—	8	8	no	—
810	C₂×D₁₃	—	8	4	no	—
811	C₄×C₁₃	—	2	1	no	—
812	C₄×C₁₃	—	2	1	no	—
813	C₄×C₁₃	—	2	1	no	—
814	C₄×C₁₃	—	2	1	no	—
815	C₄×C₁₃	—	2	1	no	—
816	C₄×C₁₃	—	2	1	no	—
817	C₄×C₁₃	—	2	1	no	—
818	C₄×C₁₃	—	2	1	no	—
819	C₄×C₁₃	—	2	1	no	—
820	C₄×C₁₃	—	4	1	no	—
821	C₄×C₁₃	—	4	1	no	—
822	C₄×C₁₃	—	4	1	no	—
823	C₄×C₁₃	—	4	1	no	—
824	C₄×C₁₃	—	4	1	no	—
825	C₄×C₁₃	—	4	1	no	—
826	C₄×C₁₃	—	4	1	no	—
827	C₄×C₁₃	C₂×H(5,𝔽₂)	1	2	yes	—
828	Dic₁₃	—	4	2	no	—
829	Dic₁₃	—	4	2	no	—
830	C₂⁵	—	26	1	no	—
831	C₂×#41	—	2	1	no	—
832	C₂×#41	—	13	2	no	—
833	C₂×#41	—	13	2	no	—
834	C₂×#41	—	26	1	no	—
835	C₂×#41	—	26	1	no	—
836	C₂×#41	—	52	4	no	—
837	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
838	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic, complemented
839	C₂²×Q₈	—	13	1	no	—
840	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
841	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
842	C₂²×D₄	—	13	1	no	—
843	C₂²×D₄	—	13	2	no	—
844	C₂²×D₄	—	13	2	no	—
845	C₂²×D₄	—	13	1	no	—
846	C₂²×D₄	—	26	1	no	—
847	C₂²×D₄	—	26	1	no	—
848	C₂²×D₄	—	26	1	no	—
849	C₂²×D₄	—	26	1	no	—
850	C₂²×D₄	—	26	1	no	—
851	C₂²×D₄	—	52	4	no	—
852	C₂²×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
853	C₂³×C₄	—	26	1	no	—
854	C₂³×C₄	—	26	1	no	—
855	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
856	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
857	#137	—	52	4	no	—
858	AGL(1,ℤ/8)	—	52	4	no	—
859	#135	—	52	4	no	—
860	C₂×Q₁₆	—	13	2	no	—
861	C₂×Q₁₆	—	13	2	no	—
862	C₂×Q₁₆	—	13	2	no	—
863	C₂×SD₁₆	—	13	2	no	—
864	C₂×SD₁₆	—	13	2	no	—
865	C₂×SD₁₆	—	13	2	no	—
866	C₂×SD₁₆	—	13	2	no	—
867	C₂×SD₁₆	—	13	2	no	—
868	C₂×SD₁₆	—	13	2	no	—
869	C₂×SD₁₆	—	13	2	no	—
870	C₂×SD₁₆	—	52	4	no	—
871	C₂×D₈	—	13	2	no	—
872	C₂×D₈	—	13	2	no	—
873	C₂×M₁₆	—	13	2	no	—
874	C₂×M₁₆	—	13	2	no	—
875	C₂²×C₈	—	13	2	no	—
876	C₂²×C₈	—	13	2	no	—
877	C₄⋊Q₈	—	2	1	no	—
878	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
879	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
880	#126	—	2	1	no	—
881	#126	—	2	1	no	—
882	#126	—	2	1	no	—
883	#126	—	2	1	no	—
884	#126	—	2	1	no	—
885	#125	—	2	1	no	—
886	#125	—	2	1	no	—
887	#125	—	2	1	no	—
888	#125	C₂²×D₁₃	1	1	yes	characteristic, complemented
889	#124	—	2	1	no	—
890	#124	—	2	1	no	—
891	#124	—	2	1	no	—
892	#124	—	13	2	no	—
893	#124	—	13	2	no	—
894	#124	—	26	1	no	—
895	#124	—	26	1	no	—
896	#124	C₂²×D₁₃	1	1	yes	characteristic, complemented
897	#123	—	2	1	no	—
898	#123	—	2	1	no	—
899	#123	—	2	1	no	—
900	#123	—	2	1	no	—
901	#123	—	2	1	no	—
902	#123	—	2	1	no	—
903	#123	—	2	1	no	—
904	#123	—	2	1	no	—
905	#123	—	2	1	no	—
906	#123	—	26	2	no	—
907	#123	—	26	2	no	—
908	#123	—	26	2	no	—
909	#123	—	26	2	no	—
910	C₂²⋊Q₈	—	2	1	no	—
911	C₂²⋊Q₈	—	2	1	no	—
912	C₂²⋊Q₈	—	2	1	no	—
913	C₂²⋊Q₈	—	2	1	no	—
914	C₂²⋊Q₈	—	2	1	no	—
915	C₂²⋊Q₈	—	2	1	no	—
916	C₂²⋊Q₈	—	2	1	no	—
917	C₂²⋊Q₈	—	2	1	no	—
918	C₂²⋊Q₈	—	2	1	no	—
919	C₂²⋊Q₈	—	2	1	no	—
920	C₂²⋊Q₈	—	13	2	no	—
921	C₂²⋊Q₈	—	13	2	no	—
922	C₂²⋊Q₈	—	26	1	no	—
923	C₂²⋊Q₈	—	26	1	no	—
924	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
925	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
926	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
927	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
928	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
929	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
930	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
931	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
932	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
933	#121	—	2	1	no	—
934	#121	—	2	1	no	—
935	#121	—	2	1	no	—
936	#121	—	13	2	no	—
937	#121	—	13	2	no	—
938	#121	—	26	1	no	—
939	#121	—	26	1	no	—
940	#121	—	26	2	no	—
941	#121	—	26	2	no	—
942	#121	—	26	2	no	—
943	#121	—	26	2	no	—
944	#121	C₂²×D₁₃	1	1	yes	characteristic
945	#121	C₂²×D₁₃	1	1	yes	characteristic
946	#121	C₂²×D₁₃	1	1	yes	characteristic, complemented
947	#120	—	2	1	no	—
948	#120	—	2	1	no	—
949	#120	—	26	2	no	—
950	#120	—	26	2	no	—
951	#120	—	26	2	no	—
952	#120	—	26	2	no	—
953	C₄×Q₈	—	2	1	no	—
954	C₄×Q₈	—	2	1	no	—
955	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
956	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
957	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
958	C₄×D₄	—	2	1	no	—
959	C₄×D₄	—	2	1	no	—
960	C₄×D₄	—	2	1	no	—
961	C₄×D₄	—	2	1	no	—
962	C₄×D₄	—	2	1	no	—
963	C₄×D₄	—	2	1	no	—
964	C₄×D₄	—	2	1	no	—
965	C₄×D₄	—	2	1	no	—
966	C₄×D₄	—	13	2	no	—
967	C₄×D₄	—	13	2	no	—
968	C₄×D₄	—	26	1	no	—
969	C₄×D₄	—	26	1	no	—
970	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
971	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
972	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
973	C₄×D₄	C₂²⋊D₁₃	1	1	yes	characteristic
974	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
975	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
976	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
977	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
978	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
979	#117	—	2	1	no	—
980	#117	—	2	1	no	—
981	#117	—	2	1	no	—
982	#117	—	2	1	no	—
983	#117	C₂²×D₁₃	1	1	yes	characteristic
984	#117	C₂²×D₁₃	1	1	yes	characteristic, complemented
985	C₂×C₄⋊C₄	—	2	1	no	—
986	C₂×C₄⋊C₄	—	2	1	no	—
987	C₂×C₄⋊C₄	—	2	1	no	—
988	C₂×C₄⋊C₄	—	13	1	no	—
989	C₂×C₄⋊C₄	—	26	1	no	—
990	C₂×C₄⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
991	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
992	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
993	C₂×C₂²⋊C₄	—	2	1	no	—
994	C₂×C₂²⋊C₄	—	2	1	no	—
995	C₂×C₂²⋊C₄	—	26	1	no	—
996	C₂×C₂²⋊C₄	—	26	1	no	—
997	C₂×C₂²⋊C₄	—	26	1	no	—
998	C₂×C₂²⋊C₄	—	26	1	no	—
999	C₂×C₂²⋊C₄	—	26	1	no	—
1000	C₂×C₂²⋊C₄	—	26	2	no	—
1001	C₂×C₂²⋊C₄	—	26	2	no	—
1002	C₂×C₂²⋊C₄	—	26	2	no	—
1003	C₂×C₂²⋊C₄	—	26	2	no	—
1004	C₂×C₂²⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
1005	C₂×C₂²⋊C₄	C₂²⋊D₁₃	1	1	yes	characteristic
1006	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1007	#107	—	13	2	no	—
1008	#106	—	13	2	no	—
1009	#106	—	13	2	no	—
1010	#106	—	13	2	no	—
1011	C₄⋊C₈	—	13	2	no	—
1012	C₄⋊C₈	—	13	2	no	—
1013	#103	—	13	2	no	—
1014	#103	—	13	2	no	—
1015	#103	—	13	2	no	—
1016	#103	—	13	2	no	—
1017	#103	—	13	2	no	—
1018	#103	—	13	2	no	—
1019	#103	—	13	2	no	—
1020	#102	—	13	2	no	—
1021	#102	—	13	2	no	—
1022	#102	—	13	2	no	—
1023	#102	—	13	2	no	—
1024	#102	—	13	2	no	—
1025	#102	—	13	2	no	—
1026	#102	—	13	2	no	—
1027	#102	—	13	2	no	—
1028	#102	—	13	2	no	—
1029	C₂²⋊C₈	—	13	1	no	—
1030	C₂²⋊C₈	—	13	1	no	—
1031	C₂²⋊C₈	—	13	1	no	—
1032	C₂²⋊C₈	—	13	2	no	—
1033	C₂²⋊C₈	—	13	1	no	—
1034	C₂²⋊C₈	—	13	2	no	—
1035	C₂²⋊C₈	—	13	2	no	—
1036	C₂²⋊C₈	—	13	2	no	—
1037	#97	—	13	2	no	—
1038	C₄×C₈	—	13	2	no	—
1039	C₂×C₁₃	—	2	2	no	—
1040	C₂×C₁₃	—	2	2	no	—
1041	C₂×C₁₃	—	4	1	no	—
1042	C₂×C₁₃	—	4	1	no	—
1043	C₂×C₁₃	—	4	1	no	—
1044	C₂×C₁₃	—	8	1	no	—
1045	C₂×C₁₃	#3484	1	1	yes	characteristic
1046	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1047	C₂×C₁₃	C₂×#577	1	1	yes	characteristic
1048	D₁₃	—	4	4	no	—
1049	D₁₃	—	8	2	no	—
1050	C₂⁴	—	26	1	no	—
1051	C₂⁴	—	26	1	no	—
1052	C₂⁴	—	26	2	no	—
1053	C₂⁴	—	26	2	no	—
1054	C₂⁴	—	52	4	no	—
1055	C₂⁴	—	52	4	no	—
1056	C₂⁴	—	104	2	no	—
1057	C₂⁴	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1058	C₂⁴	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1059	#41	—	4	2	no	—
1060	#41	—	4	2	no	—
1061	#41	—	4	4	no	—
1062	#41	—	26	4	no	—
1063	#41	—	26	4	no	—
1064	#41	—	52	2	no	—
1065	#41	—	52	2	no	—
1066	#41	—	52	4	no	—
1067	#41	—	52	4	no	—
1068	C₂×Q₈	—	2	1	no	—
1069	C₂×Q₈	—	2	1	no	—
1070	C₂×Q₈	—	2	1	no	—
1071	C₂×Q₈	—	4	2	no	—
1072	C₂×Q₈	—	4	2	no	—
1073	C₂×Q₈	—	13	2	no	—
1074	C₂×Q₈	—	26	1	no	—
1075	C₂×Q₈	—	52	2	no	—
1076	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1077	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1078	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1079	C₂×D₄	—	2	1	no	—
1080	C₂×D₄	—	2	1	no	—
1081	C₂×D₄	—	2	1	no	—
1082	C₂×D₄	—	2	1	no	—
1083	C₂×D₄	—	2	1	no	—
1084	C₂×D₄	—	4	2	no	—
1085	C₂×D₄	—	13	2	no	—
1086	C₂×D₄	—	13	2	no	—
1087	C₂×D₄	—	26	4	no	—
1088	C₂×D₄	—	26	4	no	—
1089	C₂×D₄	—	26	4	no	—
1090	C₂×D₄	—	26	2	no	—
1091	C₂×D₄	—	26	2	no	—
1092	C₂×D₄	—	26	2	no	—
1093	C₂×D₄	—	26	2	no	—
1094	C₂×D₄	—	26	1	no	—
1095	C₂×D₄	—	26	2	no	—
1096	C₂×D₄	—	26	2	no	—
1097	C₂×D₄	—	26	1	no	—
1098	C₂×D₄	—	52	2	no	—
1099	C₂×D₄	—	52	2	no	—
1100	C₂×D₄	—	52	2	no	—
1101	C₂×D₄	—	52	4	no	—
1102	C₂×D₄	—	52	4	no	—
1103	C₂×D₄	—	52	4	no	—
1104	C₂×D₄	—	52	4	no	—
1105	C₂×D₄	—	104	2	no	—
1106	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1107	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1108	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1109	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1110	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1111	C₂²×C₄	—	2	1	no	—
1112	C₂²×C₄	—	2	1	no	—
1113	C₂²×C₄	—	2	1	no	—
1114	C₂²×C₄	—	2	1	no	—
1115	C₂²×C₄	—	2	1	no	—
1116	C₂²×C₄	—	2	1	no	—
1117	C₂²×C₄	—	2	1	no	—
1118	C₂²×C₄	—	4	2	no	—
1119	C₂²×C₄	—	4	2	no	—
1120	C₂²×C₄	—	26	1	no	—
1121	C₂²×C₄	—	26	1	no	—
1122	C₂²×C₄	—	26	2	no	—
1123	C₂²×C₄	—	26	2	no	—
1124	C₂²×C₄	—	26	2	no	—
1125	C₂²×C₄	—	26	2	no	—
1126	C₂²×C₄	—	52	4	no	—
1127	C₂²×C₄	—	104	2	no	—
1128	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1129	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1130	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1131	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1132	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1133	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1134	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1135	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1139	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1140	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1141	Q₁₆	—	52	2	no	—
1142	Q₁₆	—	52	2	no	—
1143	Q₁₆	—	52	2	no	—
1144	SD₁₆	—	26	4	no	—
1145	SD₁₆	—	26	4	no	—
1146	SD₁₆	—	26	4	no	—
1147	SD₁₆	—	52	2	no	—
1148	SD₁₆	—	52	2	no	—
1149	SD₁₆	—	52	2	no	—
1150	SD₁₆	—	52	2	no	—
1151	D₈	—	26	4	no	—
1152	D₈	—	52	2	no	—
1153	M₁₆	—	52	2	no	—
1154	M₁₆	—	52	2	no	—
1155	C₂×C₈	—	13	2	no	—
1156	C₂×C₈	—	13	2	no	—
1157	C₂×C₈	—	13	2	no	—
1158	C₂×C₈	—	13	2	no	—
1159	C₂×C₈	—	52	2	no	—
1160	C₂×C₈	—	52	2	no	—
1161	C₄⋊C₄	—	2	1	no	—
1162	C₄⋊C₄	—	2	1	no	—
1163	C₄⋊C₄	—	2	1	no	—
1164	C₄⋊C₄	—	2	1	no	—
1165	C₄⋊C₄	—	2	1	no	—
1166	C₄⋊C₄	—	2	1	no	—
1167	C₄⋊C₄	—	2	1	no	—
1168	C₄⋊C₄	—	2	1	no	—
1169	C₄⋊C₄	—	2	1	no	—
1170	C₄⋊C₄	—	2	1	no	—
1171	C₄⋊C₄	—	2	1	no	—
1172	C₄⋊C₄	—	2	1	no	—
1173	C₄⋊C₄	—	2	1	no	—
1174	C₄⋊C₄	—	2	1	no	—
1175	C₄⋊C₄	—	2	1	no	—
1176	C₄⋊C₄	—	2	1	no	—
1177	C₄⋊C₄	—	2	1	no	—
1178	C₄⋊C₄	—	2	1	no	—
1179	C₄⋊C₄	—	2	1	no	—
1180	C₄⋊C₄	—	13	2	no	—
1181	C₄⋊C₄	—	26	1	no	—
1182	C₄⋊C₄	—	26	2	no	—
1183	C₄⋊C₄	—	26	2	no	—
1184	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1185	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1186	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1187	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1188	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1189	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1190	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1191	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1192	C₂²⋊C₄	—	2	1	no	—
1193	C₂²⋊C₄	—	2	1	no	—
1194	C₂²⋊C₄	—	2	1	no	—
1195	C₂²⋊C₄	—	2	1	no	—
1196	C₂²⋊C₄	—	2	1	no	—
1197	C₂²⋊C₄	—	2	1	no	—
1198	C₂²⋊C₄	—	2	1	no	—
1199	C₂²⋊C₄	—	2	1	no	—
1200	C₂²⋊C₄	—	2	1	no	—
1201	C₂²⋊C₄	—	2	1	no	—
1202	C₂²⋊C₄	—	2	1	no	—
1203	C₂²⋊C₄	—	2	1	no	—
1204	C₂²⋊C₄	—	2	1	no	—
1205	C₂²⋊C₄	—	2	1	no	—
1206	C₂²⋊C₄	—	2	1	no	—
1207	C₂²⋊C₄	—	2	1	no	—
1208	C₂²⋊C₄	—	2	1	no	—
1209	C₂²⋊C₄	—	26	2	no	—
1210	C₂²⋊C₄	—	26	2	no	—
1211	C₂²⋊C₄	—	26	2	no	—
1212	C₂²⋊C₄	—	26	2	no	—
1213	C₂²⋊C₄	—	26	2	no	—
1214	C₂²⋊C₄	—	26	2	no	—
1215	C₂²⋊C₄	—	26	2	no	—
1216	C₂²⋊C₄	—	26	2	no	—
1217	C₂²⋊C₄	—	26	2	no	—
1218	C₂²⋊C₄	—	26	2	no	—
1219	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1220	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1221	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1222	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1223	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1224	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1225	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1226	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1227	C₄²	—	2	1	no	—
1228	C₄²	—	2	1	no	—
1229	C₄²	—	2	1	no	—
1230	C₄²	—	2	1	no	—
1231	C₄²	—	2	1	no	—
1232	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1233	C₄²	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1234	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1235	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1236	C₁₃	#61601	1	1	yes	characteristic, complemented, Sylow
1237	C₂³	—	2	2	no	—
1238	C₂³	—	2	2	no	—
1239	C₂³	—	2	2	no	—
1240	C₂³	—	2	1	no	—
1241	C₂³	—	4	1	no	—
1242	C₂³	—	4	1	no	—
1243	C₂³	—	4	1	no	—
1244	C₂³	—	26	4	no	—
1245	C₂³	—	26	2	no	—
1246	C₂³	—	26	2	no	—
1247	C₂³	—	52	4	no	—
1248	C₂³	—	52	4	no	—
1249	C₂³	—	52	2	no	—
1250	C₂³	—	52	2	no	—
1251	C₂³	—	52	2	no	—
1252	C₂³	—	52	4	no	—
1253	C₂³	—	52	2	no	—
1254	C₂³	—	52	4	no	—
1255	C₂³	—	52	2	no	—
1256	C₂³	—	104	2	no	—
1257	C₂³	—	104	2	no	—
1258	C₂³	—	104	16	no	—
1259	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1260	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1261	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1262	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1263	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1264	Q₈	—	2	2	no	—
1265	Q₈	—	2	2	no	—
1266	Q₈	—	2	2	no	—
1267	Q₈	—	4	2	no	—
1268	Q₈	—	8	1	no	—
1269	Q₈	—	8	1	no	—
1270	Q₈	—	26	2	no	—
1271	Q₈	—	26	2	no	—
1272	Q₈	—	52	2	no	—
1273	D₄	—	2	2	no	—
1274	D₄	—	2	2	no	—
1275	D₄	—	2	2	no	—
1276	D₄	—	4	1	no	—
1277	D₄	—	4	1	no	—
1278	D₄	—	4	2	no	—
1279	D₄	—	4	2	no	—
1280	D₄	—	4	2	no	—
1281	D₄	—	8	1	no	—
1282	D₄	—	8	1	no	—
1283	D₄	—	13	4	no	—
1284	D₄	—	26	4	no	—
1285	D₄	—	26	2	no	—
1286	D₄	—	26	2	no	—
1287	D₄	—	26	2	no	—
1288	D₄	—	52	4	no	—
1289	D₄	—	52	4	no	—
1290	D₄	—	52	2	no	—
1291	D₄	—	52	4	no	—
1292	D₄	—	52	4	no	—
1293	D₄	—	104	2	no	—
1294	D₄	—	104	2	no	—
1295	C₂×C₄	—	2	2	no	—
1296	C₂×C₄	—	2	2	no	—
1297	C₂×C₄	—	2	2	no	—
1298	C₂×C₄	—	2	2	no	—
1299	C₂×C₄	—	2	2	no	—
1300	C₂×C₄	—	2	2	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	4	1	no	—
1309	C₂×C₄	—	4	1	no	—
1310	C₂×C₄	—	4	1	no	—
1311	C₂×C₄	—	4	1	no	—
1312	C₂×C₄	—	4	1	no	—
1313	C₂×C₄	—	4	1	no	—
1314	C₂×C₄	—	4	1	no	—
1315	C₂×C₄	—	4	2	no	—
1316	C₂×C₄	—	4	2	no	—
1317	C₂×C₄	—	4	2	no	—
1318	C₂×C₄	—	8	1	no	—
1319	C₂×C₄	—	8	1	no	—
1320	C₂×C₄	—	8	1	no	—
1321	C₂×C₄	—	8	1	no	—
1322	C₂×C₄	—	26	2	no	—
1323	C₂×C₄	—	26	2	no	—
1324	C₂×C₄	—	52	4	no	—
1325	C₂×C₄	—	52	4	no	—
1326	C₂×C₄	—	52	2	no	—
1327	C₂×C₄	—	52	2	no	—
1328	C₂×C₄	—	104	2	no	—
1329	C₂×C₄	—	104	2	no	—
1330	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1331	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1332	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1333	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1334	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1335	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1336	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1337	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1338	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1339	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1340	C₈	—	26	2	no	—
1341	C₈	—	26	2	no	—
1342	C₈	—	26	2	no	—
1343	C₈	—	26	2	no	—
1344	C₂²	—	2	1	no	—
1345	C₂²	—	2	1	no	—
1346	C₂²	—	2	1	no	—
1347	C₂²	—	2	1	no	—
1348	C₂²	—	2	1	no	—
1349	C₂²	—	2	1	no	—
1350	C₂²	—	2	1	no	—
1351	C₂²	—	2	1	no	—
1352	C₂²	—	2	1	no	—
1353	C₂²	—	2	1	no	—
1354	C₂²	—	2	1	no	—
1355	C₂²	—	2	1	no	—
1356	C₂²	—	2	1	no	—
1357	C₂²	—	4	4	no	—
1358	C₂²	—	4	1	no	—
1359	C₂²	—	4	1	no	—
1360	C₂²	—	4	1	no	—
1361	C₂²	—	8	2	no	—
1362	C₂²	—	26	4	no	—
1363	C₂²	—	52	8	no	—
1364	C₂²	—	52	2	no	—
1365	C₂²	—	52	2	no	—
1366	C₂²	—	52	2	no	—
1367	C₂²	—	52	2	no	—
1368	C₂²	—	52	2	no	—
1369	C₂²	—	104	8	no	—
1370	C₂²	—	104	4	no	—
1371	C₂²	—	104	8	no	—
1372	C₂²	#11719527	1	2	yes	—
1373	C₂²	#11719542	1	2	yes	—
1374	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1375	C₄	—	2	1	no	—
1376	C₄	—	2	1	no	—
1377	C₄	—	2	1	no	—
1378	C₄	—	2	1	no	—
1379	C₄	—	2	1	no	—
1380	C₄	—	2	1	no	—
1381	C₄	—	2	1	no	—
1382	C₄	—	2	1	no	—
1383	C₄	—	2	1	no	—
1384	C₄	—	4	1	no	—
1385	C₄	—	4	1	no	—
1386	C₄	—	4	1	no	—
1387	C₄	—	4	1	no	—
1388	C₄	—	4	1	no	—
1389	C₄	—	4	1	no	—
1390	C₄	—	4	1	no	—
1391	C₄	—	52	2	no	—
1392	C₄	—	52	2	no	—
1393	C₄	D₁₃×H(5,𝔽₂)	1	2	yes	—
1394	C₂	—	2	2	no	—
1395	C₂	—	2	2	no	—
1396	C₂	—	4	1	no	—
1397	C₂	—	4	1	no	—
1398	C₂	—	4	1	no	—
1399	C₂	—	8	1	no	—
1400	C₂	—	52	4	no	—
1401	C₂	—	104	2	no	—
1402	C₂	#13128467	1	1	yes	characteristic
1403	C₂	C₂×#11719527	1	1	yes	characteristic
1404	C₂	C₂×#11719542	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3520	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3520	D₁₃
hypocenter	C₁₃	#61601
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ #3520

Complements

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

N	H ≅ G/N	type
1. C₂×#11719255	C₂	semidirect
2. #13127046	C₂	semidirect
3. #13126866	C₂	semidirect
4. #13126791	C₂	semidirect
5. #13126665	C₂	semidirect
6. #13126544	C₂	semidirect
7. #13126468	C₂	semidirect
8. #13126362	C₂	semidirect
9. #13126347	C₂	semidirect
10. #13125835	C₂	semidirect
11. #13125797	C₂	semidirect
12. #13125657	C₂	semidirect
13. #13125646	C₂	semidirect
14. #13125613	C₂	semidirect
15. #13125589	C₂	semidirect
16. #13124970	C₂	semidirect
17. #13124840	C₂	semidirect
18. #13124094	C₂	semidirect
19. #13124062	C₂	semidirect
20. #13124052	C₂	semidirect
21. C₂×#11718707	C₂	semidirect
22. #13123871	C₂	semidirect
23. C₁₃×#3520	C₂	semidirect
26. C₁₃×#556	C₂²	semidirect
28. C₁₃×#552	C₂²	semidirect
29. C₁₃×#552	C₂²	semidirect
32. D₄×Q₈×C₁₃	C₂²	semidirect
33. C₁₃×#548	C₂²	semidirect
34. C₁₃×#548	C₂²	semidirect
35. C₁₃×#547	C₂²	semidirect
36. C₁₃×#547	C₂²	semidirect
41. C₁₃×#533	C₂²	semidirect
42. C₁₃×#529	C₂²	semidirect
44. C₁₃×#525	C₂²	semidirect
46. C₂×C₁₃×C₂²⋊Q₈	C₂²	semidirect
49. C₂×#88204	C₂²	semidirect
50. C₂×#88203	C₂²	semidirect
51. C₂×#88196	C₂²	semidirect
52. C₂²×#6106	C₂²	semidirect
69. #11718900	C₂²	semidirect
70. #11718899	C₂²	semidirect
71. #11718889	C₂²	semidirect
72. #11718888	C₂²	semidirect
74. #11718868	C₂²	semidirect
76. C₂×C₂²⋊#1055	C₂²	semidirect
77. #11718750	C₂²	semidirect
78. #11718747	C₂²	semidirect
79. #11718745	C₂²	semidirect
80. #11718744	C₂²	semidirect
81. #11718729	C₂²	semidirect
82. #11718727	C₂²	semidirect
83. #11718720	C₂²	semidirect
84. #11718718	C₂²	semidirect
85. #11718713	C₂²	semidirect
86. #11718713	C₂²	semidirect
87. #11718712	C₂²	semidirect
88. #11718711	C₂²	semidirect
89. #11718711	C₂²	semidirect
90. #11718711	C₂²	semidirect
91. #11718710	C₂²	semidirect
92. #11718709	C₂²	semidirect
93. #11718709	C₂²	semidirect
94. #11718708	C₂²	semidirect
95. #11718708	C₂²	semidirect
96. #11718708	C₂²	semidirect
103. #11718707	C₂²	semidirect
104. #11718707	C₂²	semidirect
105. #11718707	C₂²	semidirect
106. #11718704	C₂²	semidirect
107. #11718704	C₂²	semidirect
108. #11718704	C₂²	semidirect
109. #11718702	C₂²	semidirect
110. #11718701	C₂²	semidirect
111. #11718700	C₂²	semidirect
112. #11718698	C₂²	semidirect
115. #11718697	C₂²	semidirect
116. #11718694	C₂²	semidirect
117. #11718689	C₂²	semidirect
118. #11718689	C₂²	semidirect
119. #11718689	C₂²	semidirect
120. #11718687	C₂²	semidirect
121. C₄×#6106	C₂²	semidirect
122. C₄×#6106	C₂²	semidirect
123. #11718677	C₂²	semidirect
124. #11718675	C₂²	semidirect
125. #11718673	C₂²	semidirect
126. #11718672	C₂²	semidirect
127. #11718672	C₂²	semidirect
128. D₄×#1055	C₂²	semidirect
129. #11718664	C₂²	semidirect
130. #11718663	C₂²	semidirect
131. #11718662	C₂²	semidirect
132. #11718657	C₂²	semidirect
133. #11718632	C₂²	semidirect
134. #11718629	C₂²	semidirect
135. #11718627	C₂²	semidirect
136. C₂×#88049	C₂²	semidirect
137. #11718587	C₂²	semidirect
138. #11718586	C₂²	semidirect
142. C₂×C₁₃×#41	C₂³	semidirect
144. C₂²×Q₈×C₁₃	C₂³	semidirect
167. C₁₃×C₄⋊Q₈	C₂³	semidirect
168. C₁₃×C₄⋊Q₈	C₂³	semidirect
177. C₁₃×#125	C₂³	semidirect
181. C₁₃×#124	C₂³	semidirect
207. C₁₃×C₂²⋊Q₈	C₂³	semidirect
208. C₁₃×C₂²⋊Q₈	C₂³	semidirect
209. C₁₃×C₂²⋊Q₈	C₂³	semidirect
215. C₁₃×#121	C₂³	semidirect
220. C₄×Q₈×C₁₃	C₂³	semidirect
221. C₄×Q₈×C₁₃	C₂³	semidirect
222. C₄×Q₈×C₁₃	C₂³	semidirect
239. C₄×D₄×C₁₃	C₂³	semidirect
245. C₁₃×#117	C₂³	semidirect
251. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
260. C₂×#6107	C₂³	semidirect
261. C₂×#6107	C₂³	semidirect
262. C₂×#6107	C₂³	semidirect
275. C₂×#6105	C₂³	semidirect
293. C₂×#6099	C₂³	semidirect
295. C₂²×#1055	C₂³	semidirect
316. #88075	C₂³	semidirect
317. #88075	C₂³	semidirect
318. #88075	C₂³	semidirect
319. #88072	C₂³	semidirect
326. C₂²⋊#1055	C₂³	semidirect
327. C₂²⋊#1055	C₂³	semidirect
328. #88050	C₂³	semidirect
329. #88050	C₂³	semidirect
330. #88050	C₂³	semidirect
331. #88050	C₂³	semidirect
340. #88048	C₂³	semidirect
341. #88048	C₂³	semidirect
342. #88048	C₂³	semidirect
343. #88047	C₂³	semidirect
344. C₄⋊#1055	C₂³	semidirect
345. C₄⋊#1055	C₂³	semidirect
346. #88043	C₂³	semidirect
347. C₄×#1055	C₂³	semidirect
535. #3520	D₁₃	semidirect
671. #556	C₂×D₁₃	semidirect
673. #552	C₂×D₁₃	semidirect
674. #552	C₂×D₁₃	semidirect
677. D₄×Q₈	C₂×D₁₃	semidirect
678. #548	C₂×D₁₃	semidirect
679. #548	C₂×D₁₃	semidirect
680. #547	C₂×D₁₃	semidirect
681. #547	C₂×D₁₃	semidirect
694. #533	C₂×D₁₃	semidirect
695. #529	C₂×D₁₃	semidirect
698. #525	C₂×D₁₃	semidirect
702. C₂×C₂²⋊Q₈	C₂×D₁₃	semidirect
838. C₂×#41	C₂²×D₁₃	semidirect
841. C₂²×Q₈	C₂²×D₁₃	semidirect
878. C₄⋊Q₈	C₂²×D₁₃	semidirect
879. C₄⋊Q₈	C₂²×D₁₃	semidirect
888. #125	C₂²×D₁₃	semidirect
896. #124	C₂²×D₁₃	semidirect
930. C₂²⋊Q₈	C₂²×D₁₃	semidirect
931. C₂²⋊Q₈	C₂²×D₁₃	semidirect
932. C₂²⋊Q₈	C₂²×D₁₃	semidirect
946. #121	C₂²×D₁₃	semidirect
955. C₄×Q₈	C₂²×D₁₃	semidirect
956. C₄×Q₈	C₂²×D₁₃	semidirect
957. C₄×Q₈	C₂²×D₁₃	semidirect
978. C₄×D₄	C₂²×D₁₃	semidirect
984. #117	C₂²×D₁₃	semidirect
992. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1236. C₁₃	#61601	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719255	2
#13127046	2
#13126866	2
#13126791	2
#13126665	2
#13126544	2
#13126468	2
#13126362	2
#13126347	2
#13125835	2
#13125797	2
#13125657	2
#13125646	2
#13125613	2
#13125589	2
#13124970	2
#13124840	2
#13124094	2
#13124062	2
#13124052	2
C₂×#11718707	2
#13123871	2
C₁₃×#3520	2
#61601	13