Subgroups — #16748100

Order 3328.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128869	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127040	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127038	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126991	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126989	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126911	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126684	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126682	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126518	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126514	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126444	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126440	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126378	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126371	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126321	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126317	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125824	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125805	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125651	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125641	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125618	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125586	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124978	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124838	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124089	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124064	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124057	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11718434	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123866	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3314	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic, complemented
33	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#554	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#546	C₂²	1	1	yes	characteristic
36	#11719534	C₂²	1	1	yes	characteristic, complemented
37	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
38	#11719511	C₂²	1	1	yes	characteristic, complemented
39	C₂²×#6104	C₂²	1	1	yes	characteristic, complemented
40	C₂×#88173	C₂²	1	1	yes	characteristic, complemented
41	C₂×#88170	C₂²	1	1	yes	characteristic, complemented
42	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88168	C₂²	1	1	yes	characteristic, complemented
44	C₂×#88162	C₂²	1	1	yes	characteristic, complemented
45	C₂²×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
46	#11719439	C₂²	1	1	yes	characteristic, complemented
47	#11719430	C₂²	1	1	yes	characteristic, complemented
48	#11719403	—	2	1	no	—
49	#11719400	—	2	1	no	—
50	#11719381	C₂²	1	1	yes	characteristic, complemented
51	D₁₃×#124	C₂²	1	1	yes	characteristic, complemented
52	#11719359	—	2	1	no	—
53	D₁₃×#123	—	2	1	no	—
54	#11719349	—	2	1	no	—
55	#11719349	—	2	1	no	—
56	#11719335	—	2	1	no	—
57	#11719335	—	2	1	no	—
58	#11719335	C₂²	1	1	yes	characteristic, complemented
59	#11719335	C₂²	1	1	yes	characteristic, complemented
60	#11719335	C₂²	1	1	yes	characteristic, complemented
61	#11719332	C₂²	1	1	yes	characteristic
62	#11719332	C₂²	1	1	yes	characteristic, complemented
63	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	#11719317	C₂²	1	1	yes	characteristic, complemented
65	#11719315	—	2	1	no	—
66	D₁₃×#121	—	2	1	no	—
67	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
68	#11719296	—	2	1	no	—
69	D₁₃×#120	—	2	1	no	—
70	#11719285	C₂²	1	1	yes	characteristic, complemented
71	#11719282	C₂²	1	1	yes	characteristic, complemented
72	#11719259	C₂²	1	1	yes	characteristic, complemented
73	#11719255	C₂²	1	1	yes	characteristic
74	D₄×D₅₂	—	2	1	no	—
75	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
76	#11719250	—	2	1	no	—
77	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
78	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
79	#11719219	C₂²	1	1	yes	characteristic, complemented
80	#11719219	C₂²	1	1	yes	characteristic, complemented
81	C₂×#88149	C₂²	1	1	yes	characteristic
82	C₂×#88149	C₂²	1	1	yes	characteristic, complemented
83	#11719195	—	2	1	no	—
84	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
85	C₁₃×#489	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#480	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#474	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#468	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#467	C₂²	1	1	yes	characteristic, complemented
91	C₁₃×#464	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#452	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#450	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#440	C₂²	1	1	yes	characteristic, complemented
95	C₁₃×#435	C₂²	1	1	yes	characteristic, complemented
96	C₁₃×#417	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
98	#11718899	C₂²	1	1	yes	characteristic, complemented
99	#11718878	C₂²	1	1	yes	characteristic, complemented
100	#11718852	C₂²	1	1	yes	characteristic, complemented
101	#11718848	C₂²	1	1	yes	characteristic, complemented
102	#11718847	C₂²	1	1	yes	characteristic, complemented
103	#11718833	C₂²	1	1	yes	characteristic, complemented
104	#11718830	C₂²	1	1	yes	characteristic, complemented
105	#11718830	C₂²	1	1	yes	characteristic, complemented
106	#11718829	C₂²	1	1	yes	characteristic, complemented
107	#11718826	C₂²	1	1	yes	characteristic, complemented
108	#11718796	C₂²	1	1	yes	characteristic, complemented
109	#11718789	C₂²	1	1	yes	characteristic, complemented
110	#11718787	C₂²	1	1	yes	characteristic, complemented
111	#11718775	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×#88060	C₂²	1	1	yes	characteristic, complemented
114	#11718750	C₂²	1	1	yes	characteristic, complemented
115	#11718748	C₂²	1	1	yes	characteristic, complemented
116	#11718719	C₂²	1	1	yes	characteristic, complemented
117	#11718718	C₂²	1	1	yes	characteristic, complemented
118	#11718712	C₂²	1	1	yes	characteristic, complemented
119	#11718710	C₂²	1	1	yes	characteristic, complemented
120	#11718709	C₂²	1	1	yes	characteristic, complemented
121	#11718708	C₂²	1	1	yes	characteristic, complemented
122	#11718707	C₂²	1	1	yes	characteristic, complemented
123	#11718707	C₂²	1	1	yes	characteristic, complemented
124	#11718700	C₂²	1	1	yes	characteristic, complemented
125	#11718697	C₂²	1	1	yes	characteristic, complemented
126	#11718689	C₂²	1	1	yes	characteristic, complemented
127	#11718687	C₂²	1	1	yes	characteristic, complemented
128	#11718676	C₂²	1	1	yes	characteristic, complemented
129	#11718675	C₂²	1	1	yes	characteristic, complemented
130	#11718672	C₂²	1	1	yes	characteristic, complemented
131	#11718631	C₂²	1	1	yes	characteristic, complemented
132	#11718628	C₂²	1	1	yes	characteristic, complemented
133	#11718627	C₂²	1	1	yes	characteristic, complemented
134	C₂×#88049	C₂²	1	1	yes	characteristic, complemented
135	#11718552	C₂²	1	1	yes	characteristic, complemented
136	#11718549	C₂²	1	1	yes	characteristic, complemented
137	#11718547	C₂²	1	1	yes	characteristic, complemented
138	#11718547	C₂²	1	1	yes	characteristic, complemented
139	#11718546	C₂²	1	1	yes	characteristic, complemented
140	#11718544	C₂²	1	1	yes	characteristic, complemented
141	#11718544	C₂²	1	1	yes	characteristic, complemented
142	#11718543	C₂²	1	1	yes	characteristic, complemented
143	#11718543	C₂²	1	1	yes	characteristic, complemented
144	#11718543	C₂²	1	1	yes	characteristic, complemented
145	#11718533	C₂²	1	1	yes	characteristic, complemented
146	#11718533	C₂²	1	1	yes	characteristic, complemented
147	#11718505	C₂²	1	1	yes	characteristic, complemented
148	#11718504	C₂²	1	1	yes	characteristic, complemented
149	#11718497	C₂²	1	1	yes	characteristic, complemented
150	#11718494	C₂²	1	1	yes	characteristic, complemented
151	#11718480	C₂²	1	1	yes	characteristic, complemented
152	#11718480	C₂²	1	1	yes	characteristic, complemented
153	#11718480	C₂²	1	1	yes	characteristic, complemented
154	#11718476	C₂²	1	1	yes	characteristic, complemented
155	#11718473	C₂²	1	1	yes	characteristic, complemented
156	#11718473	C₂²	1	1	yes	characteristic, complemented
157	#11718472	C₂²	1	1	yes	characteristic, complemented
158	#11718472	C₂²	1	1	yes	characteristic, complemented
159	#11718472	C₂²	1	1	yes	characteristic, complemented
160	#11718471	C₂²	1	1	yes	characteristic, complemented
161	#11718467	C₂²	1	1	yes	characteristic, complemented
162	#11718467	C₂²	1	1	yes	characteristic, complemented
163	#11718467	C₂²	1	1	yes	characteristic, complemented
164	#11718466	C₂²	1	1	yes	characteristic, complemented
165	#11718465	C₂²	1	1	yes	characteristic, complemented
166	#11718461	C₂²	1	1	yes	characteristic, complemented
167	#11718448	C₂²	1	1	yes	characteristic, complemented
168	#11718448	C₂²	1	1	yes	characteristic, complemented
169	#11718442	C₂²	1	1	yes	characteristic, complemented
170	#11718442	C₂²	1	1	yes	characteristic, complemented
171	#11718440	C₂²	1	1	yes	characteristic, complemented
172	#11718436	C₂²	1	1	yes	characteristic, complemented
173	#11718436	C₂²	1	1	yes	characteristic, complemented
174	#11718434	C₂²	1	1	yes	characteristic
175	#11718434	C₂²	1	1	yes	characteristic
176	#11718434	C₂²	1	1	yes	characteristic, complemented
177	#11718434	C₂²	1	1	yes	characteristic, complemented
178	#11718434	C₂²	1	1	yes	characteristic, complemented
179	#11718434	C₂²	1	1	yes	characteristic, complemented
180	#11718434	C₂²	1	1	yes	characteristic, complemented
181	#11718434	C₂²	1	1	yes	characteristic, complemented
182	#11718434	C₂²	1	1	yes	characteristic, complemented
183	#11718434	C₂²	1	1	yes	characteristic, complemented
184	#11718433	C₂²	1	1	yes	characteristic, complemented
185	#11718431	C₂²	1	1	yes	characteristic, complemented
186	#11718431	C₂²	1	1	yes	characteristic, complemented
187	#11718429	C₂²	1	1	yes	characteristic, complemented
188	#11718424	C₂²	1	1	yes	characteristic, complemented
189	#11718417	C₂²	1	1	yes	characteristic, complemented
190	#11718417	C₂²	1	1	yes	characteristic, complemented
191	#11718395	C₂²	1	1	yes	characteristic, complemented
192	#11718393	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic, complemented
194	#11718392	C₂²	1	1	yes	characteristic, complemented
195	#11718390	C₂²	1	1	yes	characteristic, complemented
196	#11718387	C₂²	1	1	yes	characteristic, complemented
197	#11718386	C₂²	1	1	yes	characteristic, complemented
198	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
199	#11718373	C₂²	1	1	yes	characteristic, complemented
200	#11718372	C₂²	1	1	yes	characteristic, complemented
201	#11718367	C₂²	1	1	yes	characteristic, complemented
202	#11718366	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	—	2	1	no	—
204	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₂²⋊D₁₃	—	2	1	no	—
207	#41×D₁₃	—	4	2	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	—	2	1	no	—
210	C₂×#6131	C₂³	1	1	yes	characteristic
211	C₂×#6131	C₂³	1	1	yes	characteristic
212	C₂×#6131	C₂³	1	1	yes	characteristic, complemented
213	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₁₃	—	2	1	no	—
217	C₂×D₄×D₁₃	—	2	1	no	—
218	C₂×D₄×D₁₃	—	2	1	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	4	2	no	—
222	C₂×D₄×D₁₃	—	4	2	no	—
223	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
224	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×#6127	—	2	1	no	—
229	C₂×#6127	C₂³	1	1	yes	characteristic
230	C₂²×D₅₂	—	2	1	no	—
231	C₂²×D₅₂	—	2	1	no	—
232	C₂²×D₅₂	C₂³	1	1	yes	characteristic
233	C₂²×D₅₂	C₂³	1	1	yes	characteristic
234	C₂²×D₅₂	C₂³	1	1	yes	characteristic, complemented
235	C₂²×C₄×D₁₃	—	2	1	no	—
236	C₂²×C₄×D₁₃	—	2	1	no	—
237	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
238	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₁₃×Q₁₆	C₂³	1	1	yes	characteristic, complemented
240	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic, complemented
243	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
244	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
245	C₁₃×#125	—	2	1	no	—
246	C₁₃×#124	C₂³	1	1	yes	characteristic
247	C₁₃×#123	—	2	1	no	—
248	C₁₃×C₂²⋊Q₈	—	2	1	no	—
249	C₁₃×C₂²⋊Q₈	—	2	1	no	—
250	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
252	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic, complemented
253	C₁₃×#121	—	2	1	no	—
254	C₁₃×#121	C₂³	1	1	yes	characteristic
255	C₁₃×#120	—	2	1	no	—
256	C₄×Q₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
257	C₄×D₄×C₁₃	—	2	1	no	—
258	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
259	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic, complemented
262	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
263	#88207	—	2	1	no	—
264	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
265	#88203	—	4	2	no	—
266	#88201	—	2	1	no	—
267	#88201	—	2	1	no	—
268	#88201	—	2	1	no	—
269	#88201	C₂³	1	1	yes	characteristic
270	#88201	C₂³	1	1	yes	characteristic, complemented
271	#88200	C₂³	1	1	yes	characteristic
272	#88200	C₂³	1	1	yes	characteristic
273	C₂×#6107	C₂³	1	1	yes	characteristic, complemented
274	C₂×#6106	C₂³	1	1	yes	characteristic
275	C₂×#6106	C₂³	1	1	yes	characteristic
276	C₂×#6106	C₂³	1	1	yes	characteristic, complemented
277	C₂×#6106	C₂³	1	1	yes	characteristic, complemented
278	C₂×#6106	C₂³	1	1	yes	characteristic, complemented
279	#88193	—	2	1	no	—
280	#88193	—	2	1	no	—
281	#88193	—	2	1	no	—
282	#88192	—	2	1	no	—
283	#88192	C₂³	1	1	yes	characteristic
284	#88191	—	2	1	no	—
285	#88191	—	2	1	no	—
286	#88191	—	2	1	no	—
287	#88190	C₂³	1	1	yes	characteristic
288	#88189	—	2	1	no	—
289	D₄×Dic₁₃	D₄	1	1	yes	characteristic
290	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×#6104	—	4	2	no	—
292	C₂×#6104	C₂³	1	1	yes	characteristic
293	C₂×#6104	C₂³	1	1	yes	characteristic
294	C₂×#6104	C₂³	1	1	yes	characteristic
295	C₂×#6104	C₂³	1	1	yes	characteristic
296	C₂×#6104	C₂³	1	1	yes	characteristic
297	C₂×#6104	C₂³	1	1	yes	characteristic
298	#88184	—	2	1	no	—
299	#88184	—	2	1	no	—
300	#88184	—	2	1	no	—
301	#88184	C₂³	1	1	yes	characteristic
302	#88184	C₂³	1	1	yes	characteristic
303	#88184	C₂³	1	1	yes	characteristic, complemented
304	#88183	—	2	1	no	—
305	C₄×C₂²⋊D₁₃	—	2	1	no	—
306	C₄×C₂²⋊D₁₃	—	2	1	no	—
307	C₄×C₂²⋊D₁₃	—	2	1	no	—
308	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
309	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
310	C₂×#6103	—	2	1	no	—
311	C₂×#6103	—	2	1	no	—
312	C₂×#6103	—	2	1	no	—
313	C₂×#6103	—	2	1	no	—
314	#88178	C₂³	1	1	yes	characteristic
315	C₂×#6099	C₂³	1	1	yes	characteristic, complemented
316	C₂²×#1055	C₂³	1	1	yes	characteristic
317	#88173	—	4	2	no	—
318	#88170	—	4	2	no	—
319	#88168	—	4	2	no	—
320	#88168	—	4	2	no	—
321	#88162	—	4	2	no	—
322	C₂×D₁₀₄	—	4	2	no	—
323	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
324	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
325	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
326	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
327	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
328	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
329	C₂×#6095	C₂³	1	1	yes	characteristic, complemented
330	C₂×#6095	C₂³	1	1	yes	characteristic, complemented
331	C₂×#6095	C₂³	1	1	yes	characteristic, complemented
332	C₂×#6094	C₂³	1	1	yes	characteristic
333	C₂×#6094	C₂³	1	1	yes	characteristic
334	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
335	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
336	#88152	—	2	1	no	—
337	#88152	—	2	1	no	—
338	#88152	—	2	1	no	—
339	#88151	C₂³	1	1	yes	characteristic
340	#88150	—	2	1	no	—
341	#88149	—	2	1	no	—
342	#88149	—	2	1	no	—
343	#88149	—	2	1	no	—
344	#88149	—	2	1	no	—
345	#88149	—	2	1	no	—
346	#88149	—	2	1	no	—
347	#88149	—	2	1	no	—
348	#88149	—	2	1	no	—
349	#88149	—	2	1	no	—
350	#88149	—	2	1	no	—
351	#88149	—	2	1	no	—
352	#88149	—	2	1	no	—
353	#88149	C₂³	1	1	yes	characteristic
354	#88149	C₂³	1	1	yes	characteristic
355	#88149	C₂³	1	1	yes	characteristic
356	#88149	C₂³	1	1	yes	characteristic
357	#88149	C₂³	1	1	yes	characteristic
358	#88149	C₂³	1	1	yes	characteristic
359	#88149	C₂³	1	1	yes	characteristic, complemented
360	#88149	C₂³	1	1	yes	characteristic, complemented
361	#88148	—	2	1	no	—
362	#88148	—	2	1	no	—
363	#88148	—	2	1	no	—
364	#88148	—	2	1	no	—
365	#88148	—	2	1	no	—
366	#88148	—	2	1	no	—
367	#88148	—	2	1	no	—
368	#88148	—	2	1	no	—
369	#88148	—	2	1	no	—
370	#88147	—	2	1	no	—
371	#88147	—	2	1	no	—
372	#88147	—	2	1	no	—
373	#88147	D₄	1	1	yes	characteristic
374	#88147	C₂³	1	1	yes	characteristic
375	#88147	C₂³	1	1	yes	characteristic, complemented
376	#88147	C₂³	1	1	yes	characteristic, complemented
377	#88146	—	2	1	no	—
378	#88146	C₂³	1	1	yes	characteristic
379	#88146	C₂³	1	1	yes	characteristic, complemented
380	C₄⋊C₄×D₁₃	—	2	1	no	—
381	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
382	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
383	#88144	C₂³	1	1	yes	characteristic, complemented
384	#88140	—	2	1	no	—
385	#88139	—	2	1	no	—
386	#88139	—	2	1	no	—
387	#88138	—	2	1	no	—
388	#88138	—	2	1	no	—
389	#88138	—	2	1	no	—
390	#88137	—	2	1	no	—
391	#88137	—	2	1	no	—
392	#88136	—	2	1	no	—
393	#88136	—	2	1	no	—
394	#88136	—	2	1	no	—
395	#88136	—	2	1	no	—
396	#88136	—	2	1	no	—
397	#88136	—	2	1	no	—
398	#88136	—	2	1	no	—
399	#88136	—	2	1	no	—
400	#88136	—	2	1	no	—
401	#88135	—	2	1	no	—
402	#88135	—	2	1	no	—
403	#88135	—	2	1	no	—
404	#88135	D₄	1	1	yes	characteristic
405	#88135	D₄	1	1	yes	characteristic
406	C₂²⋊C₄×D₁₃	—	2	1	no	—
407	C₂²⋊C₄×D₁₃	—	2	1	no	—
408	C₂²⋊C₄×D₁₃	—	2	1	no	—
409	C₂²⋊C₄×D₁₃	—	2	1	no	—
410	C₂²⋊C₄×D₁₃	—	2	1	no	—
411	C₂²⋊C₄×D₁₃	—	2	1	no	—
412	C₂²⋊C₄×D₁₃	—	2	1	no	—
413	C₂²⋊C₄×D₁₃	—	2	1	no	—
414	C₂²⋊C₄×D₁₃	—	2	1	no	—
415	C₂²⋊C₄×D₁₃	—	2	1	no	—
416	C₂²⋊C₄×D₁₃	—	2	1	no	—
417	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
418	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
419	#88132	—	2	1	no	—
420	#88129	C₂³	1	1	yes	characteristic
421	#88128	—	2	1	no	—
422	#88128	C₂³	1	1	yes	characteristic, complemented
423	C₄×D₅₂	—	2	1	no	—
424	C₄×D₅₂	—	2	1	no	—
425	C₄×D₅₂	C₂³	1	1	yes	characteristic
426	C₄×D₅₂	C₂³	1	1	yes	characteristic
427	C₄×D₅₂	C₂³	1	1	yes	characteristic, complemented
428	#88126	—	2	1	no	—
429	C₄²×D₁₃	C₂³	1	1	yes	characteristic
430	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
431	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
432	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
433	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
434	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
435	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
436	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
437	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
438	C₁₃×#102	C₂³	1	1	yes	characteristic
439	C₁₃×#102	C₂³	1	1	yes	characteristic
440	C₁₃×#102	C₂³	1	1	yes	characteristic
441	C₁₃×#102	C₂³	1	1	yes	characteristic
442	C₁₃×#102	C₂³	1	1	yes	characteristic
443	C₁₃×#102	C₂³	1	1	yes	characteristic
444	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
446	C₁₃×#97	C₂³	1	1	yes	characteristic, complemented
447	#88075	C₂³	1	1	yes	characteristic, complemented
448	#88075	C₂³	1	1	yes	characteristic, complemented
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	C₂²⋊#1055	C₂³	1	1	yes	characteristic
452	C₂²⋊#1055	C₂³	1	1	yes	characteristic, complemented
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic
455	#88061	C₂³	1	1	yes	characteristic, complemented
456	#88061	C₂³	1	1	yes	characteristic, complemented
457	#88061	C₂³	1	1	yes	characteristic, complemented
458	#88060	C₂³	1	1	yes	characteristic
459	#88060	C₂³	1	1	yes	characteristic
460	#88060	C₂³	1	1	yes	characteristic
461	#88060	C₂³	1	1	yes	characteristic
462	#88060	C₂³	1	1	yes	characteristic
463	#88060	C₂³	1	1	yes	characteristic
464	#88060	C₂³	1	1	yes	characteristic, complemented
465	#88060	C₂³	1	1	yes	characteristic, complemented
466	#88057	C₂³	1	1	yes	characteristic, complemented
467	#88056	C₂³	1	1	yes	characteristic, complemented
468	#88054	C₂³	1	1	yes	characteristic, complemented
469	#88054	C₂³	1	1	yes	characteristic, complemented
470	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
471	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
472	#88050	C₂³	1	1	yes	characteristic, complemented
473	#88050	C₂³	1	1	yes	characteristic, complemented
474	#88050	C₂³	1	1	yes	characteristic, complemented
475	#88049	C₂³	1	1	yes	characteristic
476	#88049	C₂³	1	1	yes	characteristic
477	#88049	C₂³	1	1	yes	characteristic
478	#88049	C₂³	1	1	yes	characteristic
479	#88049	C₂³	1	1	yes	characteristic
480	#88049	C₂³	1	1	yes	characteristic
481	#88049	C₂³	1	1	yes	characteristic, complemented
482	#88049	C₂³	1	1	yes	characteristic, complemented
483	#88049	C₂³	1	1	yes	characteristic, complemented
484	#88048	C₂³	1	1	yes	characteristic, complemented
485	#88047	C₂³	1	1	yes	characteristic, complemented
486	#88047	C₂³	1	1	yes	characteristic, complemented
487	#88047	C₂³	1	1	yes	characteristic, complemented
488	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
489	#88043	C₂³	1	1	yes	characteristic, complemented
490	#61592	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂³×D₁₃	—	2	1	no	—
493	C₂³×D₁₃	—	2	1	no	—
494	C₂³×D₁₃	—	2	1	no	—
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	2	1	no	—
497	C₂³×D₁₃	—	2	1	no	—
498	C₂³×D₁₃	—	2	1	no	—
499	C₂³×D₁₃	—	4	4	no	—
500	C₂³×D₁₃	—	4	4	no	—
501	C₂³×D₁₃	—	8	2	no	—
502	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
503	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
504	C₁₃×#41	—	2	2	no	—
505	C₁₃×#41	—	4	1	no	—
506	C₂×Q₈×C₁₃	—	2	1	no	—
507	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
509	C₂×D₄×C₁₃	—	2	2	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	2	1	no	—
513	C₂×D₄×C₁₃	—	4	1	no	—
514	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
515	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
516	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	—	2	1	no	—
519	C₂²×C₄×C₁₃	—	2	1	no	—
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₂×C₂²⋊D₁₃	—	2	1	no	—
524	C₂×C₂²⋊D₁₃	—	2	1	no	—
525	C₂×C₂²⋊D₁₃	—	2	1	no	—
526	C₂×C₂²⋊D₁₃	—	2	1	no	—
527	C₂×C₂²⋊D₁₃	—	2	1	no	—
528	C₂×C₂²⋊D₁₃	—	2	1	no	—
529	C₂×C₂²⋊D₁₃	—	2	1	no	—
530	C₂×C₂²⋊D₁₃	—	2	1	no	—
531	C₂×C₂²⋊D₁₃	—	2	1	no	—
532	C₂×C₂²⋊D₁₃	—	2	1	no	—
533	C₂×C₂²⋊D₁₃	—	4	4	no	—
534	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
536	C₂²×Dic₁₃	—	2	1	no	—
537	C₂²×Dic₁₃	—	2	1	no	—
538	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
539	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
540	#6131	—	2	2	no	—
541	#6131	—	4	1	no	—
542	#6131	—	4	1	no	—
543	#6131	—	4	1	no	—
544	#6131	—	4	1	no	—
545	#6131	—	4	1	no	—
546	#6131	—	8	2	no	—
547	Q₈×D₁₃	—	4	1	no	—
548	Q₈×D₁₃	—	4	1	no	—
549	#6129	—	2	2	no	—
550	#6129	—	4	1	no	—
551	#6129	—	4	4	no	—
552	D₄×D₁₃	—	2	2	no	—
553	D₄×D₁₃	—	2	2	no	—
554	D₄×D₁₃	—	2	2	no	—
555	D₄×D₁₃	—	2	2	no	—
556	D₄×D₁₃	—	4	1	no	—
557	D₄×D₁₃	—	4	1	no	—
558	D₄×D₁₃	—	4	1	no	—
559	D₄×D₁₃	—	4	1	no	—
560	D₄×D₁₃	—	4	2	no	—
561	D₄×D₁₃	—	4	4	no	—
562	D₄×D₁₃	—	4	4	no	—
563	D₄×D₁₃	—	4	4	no	—
564	D₄×D₁₃	—	4	4	no	—
565	D₄×D₁₃	—	8	2	no	—
566	#6127	—	2	2	no	—
567	#6127	—	4	1	no	—
568	#6127	—	4	4	no	—
569	C₂×D₅₂	—	2	2	no	—
570	C₂×D₅₂	—	2	1	no	—
571	C₂×D₅₂	—	2	1	no	—
572	C₂×D₅₂	—	2	1	no	—
573	C₂×D₅₂	—	2	1	no	—
574	C₂×D₅₂	—	2	1	no	—
575	C₂×D₅₂	—	2	1	no	—
576	C₂×D₅₂	—	2	1	no	—
577	C₂×D₅₂	—	2	1	no	—
578	C₂×D₅₂	—	2	1	no	—
579	C₂×D₅₂	—	2	1	no	—
580	C₂×D₅₂	—	2	1	no	—
581	C₂×D₅₂	—	2	1	no	—
582	C₂×D₅₂	—	2	1	no	—
583	C₂×D₅₂	—	2	1	no	—
584	C₂×D₅₂	—	2	1	no	—
585	C₂×D₅₂	—	2	1	no	—
586	C₂×D₅₂	—	4	1	no	—
587	C₂×D₅₂	—	4	1	no	—
588	C₂×D₅₂	—	4	1	no	—
589	C₂×D₅₂	—	4	1	no	—
590	C₂×D₅₂	—	4	1	no	—
591	C₂×D₅₂	—	8	2	no	—
592	C₂×D₅₂	—	8	2	no	—
593	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
594	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
595	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
596	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
597	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
598	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₁₃	—	2	1	no	—
600	C₂×C₄×D₁₃	—	2	1	no	—
601	C₂×C₄×D₁₃	—	2	1	no	—
602	C₂×C₄×D₁₃	—	2	1	no	—
603	C₂×C₄×D₁₃	—	2	1	no	—
604	C₂×C₄×D₁₃	—	2	1	no	—
605	C₂×C₄×D₁₃	—	2	1	no	—
606	C₂×C₄×D₁₃	—	2	1	no	—
607	C₂×C₄×D₁₃	—	2	1	no	—
608	C₂×C₄×D₁₃	—	2	1	no	—
609	C₂×C₄×D₁₃	—	2	1	no	—
610	C₂×C₄×D₁₃	—	4	1	no	—
611	C₂×C₄×D₁₃	—	4	1	no	—
612	C₂×C₄×D₁₃	—	4	1	no	—
613	C₂×C₄×D₁₃	—	4	1	no	—
614	C₂×C₄×D₁₃	—	4	4	no	—
615	C₂×C₄×D₁₃	—	8	2	no	—
616	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
617	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
618	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
619	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
620	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
621	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
622	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
623	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
624	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
625	C₂×Dic₂₆	—	2	1	no	—
626	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
627	C₁₃×Q₁₆	—	4	1	no	—
628	C₁₃×SD₁₆	—	2	2	no	—
629	C₁₃×SD₁₆	—	4	1	no	—
630	C₁₃×M₁₆	—	4	1	no	—
631	C₂×C₈×C₁₃	—	4	1	no	—
632	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
633	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
634	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
635	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
636	C₁₃×C₄⋊C₄	—	2	1	no	—
637	C₁₃×C₄⋊C₄	—	2	1	no	—
638	C₁₃×C₄⋊C₄	—	2	1	no	—
639	C₁₃×C₄⋊C₄	—	2	1	no	—
640	C₁₃×C₄⋊C₄	—	2	1	no	—
641	C₁₃×C₄⋊C₄	—	2	1	no	—
642	C₁₃×C₄⋊C₄	—	2	1	no	—
643	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
645	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
646	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
647	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	—	2	1	no	—
652	C₁₃×C₂²⋊C₄	—	2	1	no	—
653	C₁₃×C₂²⋊C₄	—	2	1	no	—
654	C₁₃×C₂²⋊C₄	—	2	1	no	—
655	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₄²×C₁₃	—	2	1	no	—
658	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
659	C₂²⋊Dic₁₃	—	2	1	no	—
660	C₂²⋊Dic₁₃	—	2	1	no	—
661	C₂²⋊Dic₁₃	—	2	1	no	—
662	C₂²⋊Dic₁₃	—	2	1	no	—
663	C₂²⋊Dic₁₃	—	2	1	no	—
664	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
665	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
666	#6107	—	4	1	no	—
667	#6106	—	2	2	no	—
668	#6106	—	4	1	no	—
669	#6106	—	4	1	no	—
670	#6106	—	4	1	no	—
671	#6106	—	4	1	no	—
672	#6104	—	2	2	no	—
673	#6104	—	2	2	no	—
674	#6104	—	2	2	no	—
675	#6104	—	4	1	no	—
676	#6104	—	4	1	no	—
677	#6104	—	4	1	no	—
678	#6103	—	2	1	no	—
679	#6103	—	2	1	no	—
680	#6103	—	2	1	no	—
681	#6103	—	2	1	no	—
682	#6103	—	2	1	no	—
683	#6103	—	2	1	no	—
684	#6103	—	2	1	no	—
685	#6103	—	2	1	no	—
686	#6103	—	2	1	no	—
687	#6103	—	2	1	no	—
688	#6103	—	2	1	no	—
689	#6103	—	2	1	no	—
690	#6103	—	2	1	no	—
691	#6103	—	2	1	no	—
692	#6103	—	2	1	no	—
693	#6103	—	2	1	no	—
694	#6103	—	2	1	no	—
695	#6103	—	2	1	no	—
696	#6103	—	2	1	no	—
697	#6103	—	2	1	no	—
698	#6103	—	2	1	no	—
699	#6103	—	2	1	no	—
700	#6103	—	2	1	no	—
701	#6103	—	2	1	no	—
702	#6103	—	2	1	no	—
703	#6103	—	2	1	no	—
704	#6103	—	2	1	no	—
705	#6103	C₂×D₄	1	1	yes	characteristic
706	#6103	C₂×D₄	1	1	yes	characteristic
707	#6103	C₂×D₄	1	1	yes	characteristic
708	#6103	C₂×D₄	1	1	yes	characteristic
709	C₄⋊Dic₁₃	—	2	1	no	—
710	C₄⋊Dic₁₃	—	2	1	no	—
711	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
712	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
713	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	—	2	1	no	—
718	#6101	—	2	1	no	—
719	#6101	C₂×D₄	1	1	yes	characteristic
720	#6101	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₁₃	—	2	1	no	—
722	C₄×Dic₁₃	—	2	1	no	—
723	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
724	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
725	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
726	#6099	—	4	1	no	—
727	C₂×#1055	—	4	1	no	—
728	C₂×#1055	C₂⁴	1	1	yes	characteristic
729	C₂×#1055	C₂⁴	1	1	yes	characteristic
730	C₂×#1055	C₂⁴	1	1	yes	characteristic
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	D₁₀₄	—	2	2	no	—
733	D₁₀₄	—	2	2	no	—
734	D₁₀₄	—	2	2	no	—
735	D₁₀₄	—	4	1	no	—
736	D₁₀₄	—	4	1	no	—
737	D₁₀₄	—	4	1	no	—
738	#6095	—	4	1	no	—
739	#6095	—	4	1	no	—
740	#6095	—	4	1	no	—
741	#6094	—	4	1	no	—
742	#6094	—	4	1	no	—
743	C₈×D₁₃	—	4	1	no	—
744	C₈×D₁₃	—	4	1	no	—
745	#3519	—	13	1	no	—
746	C₂×#546	—	13	1	no	—
747	#3322	—	13	1	no	—
748	#3322	—	13	1	no	—
749	#3319	—	13	1	no	—
750	#3319	—	13	1	no	—
751	#3314	—	13	1	no	—
752	#3314	D₁₃	1	1	yes	characteristic, complemented
753	#3297	—	13	1	no	—
754	#3297	—	13	1	no	—
755	#3280	—	13	1	no	—
756	#3280	—	13	1	no	—
757	#3273	—	13	1	no	—
758	#3273	—	13	1	no	—
759	#3268	—	13	1	no	—
760	#3268	—	13	1	no	—
761	#3264	—	13	1	no	—
762	#3264	—	13	1	no	—
763	#3213	—	13	1	no	—
764	#3211	—	13	1	no	—
765	#3194	—	13	1	no	—
766	#3193	—	13	1	no	—
767	#3190	—	13	1	no	—
768	#3186	—	13	1	no	—
769	#3114	—	13	1	no	—
770	#3100	—	13	1	no	—
771	#3006	—	13	1	no	—
772	#3003	—	13	1	no	—
773	#3002	—	13	1	no	—
774	C₂×#447	—	13	1	no	—
775	#2974	—	13	1	no	—
776	C₂³×C₁₃	—	2	1	no	—
777	C₂³×C₁₃	—	2	1	no	—
778	C₂³×C₁₃	—	4	2	no	—
779	C₂³×C₁₃	—	4	2	no	—
780	C₂³×C₁₃	—	8	1	no	—
781	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
782	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
783	C₂²×D₁₃	—	2	4	no	—
784	C₂²×D₁₃	—	2	2	no	—
785	C₂²×D₁₃	—	2	1	no	—
786	C₂²×D₁₃	—	2	2	no	—
787	C₂²×D₁₃	—	2	2	no	—
788	C₂²×D₁₃	—	2	1	no	—
789	C₂²×D₁₃	—	2	1	no	—
790	C₂²×D₁₃	—	2	1	no	—
791	C₂²×D₁₃	—	2	1	no	—
792	C₂²×D₁₃	—	4	1	no	—
793	C₂²×D₁₃	—	4	1	no	—
794	C₂²×D₁₃	—	4	1	no	—
795	C₂²×D₁₃	—	4	2	no	—
796	C₂²×D₁₃	—	4	2	no	—
797	C₂²×D₁₃	—	4	2	no	—
798	C₂²×D₁₃	—	4	2	no	—
799	C₂²×D₁₃	—	4	2	no	—
800	C₂²×D₁₃	—	4	2	no	—
801	C₂²×D₁₃	—	4	2	no	—
802	C₂²×D₁₃	—	4	2	no	—
803	C₂²×D₁₃	—	4	2	no	—
804	C₂²×D₁₃	—	4	2	no	—
805	C₂²×D₁₃	—	4	2	no	—
806	C₂²×D₁₃	—	4	2	no	—
807	C₂²×D₁₃	—	4	2	no	—
808	C₂²×D₁₃	—	8	1	no	—
809	C₂²×D₁₃	—	8	1	no	—
810	C₂²×D₁₃	—	8	1	no	—
811	C₂²×D₁₃	—	8	16	no	—
812	C₂²×D₁₃	—	8	1	no	—
813	C₂²×D₁₃	—	8	1	no	—
814	C₂²×D₁₃	—	8	1	no	—
815	C₂²×D₁₃	—	8	1	no	—
816	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
817	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
818	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
819	Q₈×C₁₃	—	2	1	no	—
820	Q₈×C₁₃	—	2	1	no	—
821	Q₈×C₁₃	—	2	1	no	—
822	Q₈×C₁₃	—	2	1	no	—
823	Q₈×C₁₃	—	8	1	no	—
824	D₄×C₁₃	—	2	2	no	—
825	D₄×C₁₃	—	2	1	no	—
826	D₄×C₁₃	—	2	1	no	—
827	D₄×C₁₃	—	2	1	no	—
828	D₄×C₁₃	—	4	2	no	—
829	D₄×C₁₃	—	4	2	no	—
830	D₄×C₁₃	—	8	1	no	—
831	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
832	C₂×C₄×C₁₃	—	2	1	no	—
833	C₂×C₄×C₁₃	—	2	1	no	—
834	C₂×C₄×C₁₃	—	2	1	no	—
835	C₂×C₄×C₁₃	—	2	1	no	—
836	C₂×C₄×C₁₃	—	2	1	no	—
837	C₂×C₄×C₁₃	—	2	1	no	—
838	C₂×C₄×C₁₃	—	2	1	no	—
839	C₂×C₄×C₁₃	—	2	1	no	—
840	C₂×C₄×C₁₃	—	2	1	no	—
841	C₂×C₄×C₁₃	—	2	1	no	—
842	C₂×C₄×C₁₃	—	4	2	no	—
843	C₂×C₄×C₁₃	—	8	1	no	—
844	C₂×C₄×C₁₃	—	8	1	no	—
845	C₂×C₄×C₁₃	—	8	1	no	—
846	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
847	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
848	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
849	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
850	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
851	C₂²⋊D₁₃	—	2	4	no	—
852	C₂²⋊D₁₃	—	2	2	no	—
853	C₂²⋊D₁₃	—	4	1	no	—
854	C₂²⋊D₁₃	—	4	2	no	—
855	C₂²⋊D₁₃	—	4	2	no	—
856	C₂²⋊D₁₃	—	4	2	no	—
857	C₂²⋊D₁₃	—	4	2	no	—
858	C₂²⋊D₁₃	—	4	2	no	—
859	C₂²⋊D₁₃	—	4	2	no	—
860	C₂²⋊D₁₃	—	4	2	no	—
861	C₂²⋊D₁₃	—	8	1	no	—
862	C₂²⋊D₁₃	—	8	1	no	—
863	C₂×Dic₁₃	—	2	1	no	—
864	C₂×Dic₁₃	—	2	1	no	—
865	C₂×Dic₁₃	—	2	1	no	—
866	C₂×Dic₁₃	—	4	1	no	—
867	C₂×Dic₁₃	—	4	1	no	—
868	C₂×Dic₁₃	—	4	2	no	—
869	C₂×Dic₁₃	—	8	1	no	—
870	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
871	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
872	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
873	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
874	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
875	D₅₂	—	2	1	no	—
876	D₅₂	—	2	1	no	—
877	D₅₂	—	2	1	no	—
878	D₅₂	—	2	1	no	—
879	D₅₂	—	2	1	no	—
880	D₅₂	—	2	1	no	—
881	D₅₂	—	2	1	no	—
882	D₅₂	—	2	1	no	—
883	D₅₂	—	2	1	no	—
884	D₅₂	—	4	1	no	—
885	D₅₂	—	4	2	no	—
886	D₅₂	—	4	2	no	—
887	D₅₂	—	4	2	no	—
888	D₅₂	—	4	2	no	—
889	D₅₂	—	4	2	no	—
890	D₅₂	—	4	2	no	—
891	D₅₂	—	8	1	no	—
892	D₅₂	—	8	1	no	—
893	D₅₂	—	8	1	no	—
894	D₅₂	—	8	1	no	—
895	D₅₂	—	8	1	no	—
896	D₅₂	—	8	1	no	—
897	D₅₂	—	8	1	no	—
898	D₅₂	—	8	1	no	—
899	D₅₂	—	8	1	no	—
900	D₅₂	—	8	1	no	—
901	D₅₂	H(5,𝔽₂)	1	2	yes	—
902	C₄×D₁₃	—	2	2	no	—
903	C₄×D₁₃	—	2	1	no	—
904	C₄×D₁₃	—	2	1	no	—
905	C₄×D₁₃	—	2	1	no	—
906	C₄×D₁₃	—	2	1	no	—
907	C₄×D₁₃	—	2	1	no	—
908	C₄×D₁₃	—	2	1	no	—
909	C₄×D₁₃	—	4	1	no	—
910	C₄×D₁₃	—	4	1	no	—
911	C₄×D₁₃	—	4	1	no	—
912	C₄×D₁₃	—	4	1	no	—
913	C₄×D₁₃	—	4	1	no	—
914	C₄×D₁₃	—	4	2	no	—
915	C₄×D₁₃	—	4	2	no	—
916	C₄×D₁₃	—	4	2	no	—
917	C₄×D₁₃	—	4	2	no	—
918	C₄×D₁₃	—	4	2	no	—
919	C₄×D₁₃	—	8	1	no	—
920	C₄×D₁₃	—	8	1	no	—
921	C₄×D₁₃	—	8	1	no	—
922	C₄×D₁₃	—	8	1	no	—
923	C₄×D₁₃	—	8	1	no	—
924	C₄×D₁₃	—	8	1	no	—
925	Dic₂₆	—	2	1	no	—
926	Dic₂₆	—	2	1	no	—
927	Dic₂₆	—	4	2	no	—
928	C₈×C₁₃	—	2	1	no	—
929	C₈×C₁₃	—	2	1	no	—
930	C₈×C₁₃	—	2	1	no	—
931	C₈×C₁₃	—	2	1	no	—
932	#1055	—	2	1	no	—
933	#1055	—	2	1	no	—
934	#1055	—	2	1	no	—
935	#1055	—	2	1	no	—
936	C₂²×#41	—	13	1	no	—
937	C₂³×D₄	—	13	1	no	—
938	C₂×AGL(1,ℤ/8)	—	13	1	no	—
939	C₂×AGL(1,ℤ/8)	—	13	1	no	—
940	C₂×AGL(1,ℤ/8)	—	13	1	no	—
941	C₂×AGL(1,ℤ/8)	—	13	1	no	—
942	C₂×#135	—	13	1	no	—
943	C₂×#135	—	13	1	no	—
944	C₂²×D₈	—	13	1	no	—
945	C₂²×D₈	—	13	1	no	—
946	#555	—	13	1	no	—
947	#554	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#553	—	13	1	no	—
949	#553	—	13	1	no	—
950	#553	—	26	1	no	—
951	#550	—	13	1	no	—
952	#546	—	13	1	no	—
953	#546	—	13	1	no	—
954	#546	—	13	1	no	—
955	#546	—	13	1	no	—
956	#546	—	13	1	no	—
957	#546	—	13	1	no	—
958	#546	—	13	1	no	—
959	#546	—	13	1	no	—
960	#546	—	13	1	no	—
961	#546	—	26	1	no	—
962	#546	—	26	1	no	—
963	#546	—	26	1	no	—
964	#546	—	26	1	no	—
965	#546	—	26	1	no	—
966	#546	—	26	1	no	—
967	#546	C₂×D₁₃	1	1	yes	characteristic
968	D₄²	—	13	1	no	—
969	D₄²	—	26	1	no	—
970	#540	—	26	1	no	—
971	#538	—	26	1	no	—
972	#538	—	26	1	no	—
973	#532	—	13	1	no	—
974	#529	—	13	1	no	—
975	C₂×#124	—	13	1	no	—
976	#525	—	13	1	no	—
977	#525	—	13	1	no	—
978	C₂×#123	—	26	1	no	—
979	C₂×C₂²⋊Q₈	—	13	1	no	—
980	C₂×#121	—	13	1	no	—
981	C₂×#121	—	13	1	no	—
982	C₂×#121	—	13	1	no	—
983	C₂×#121	—	26	1	no	—
984	C₂×#120	—	26	1	no	—
985	#518	—	26	1	no	—
986	C₂×C₄×D₄	—	13	1	no	—
987	C₂×C₄×D₄	—	13	1	no	—
988	C₂²×C₂²⋊C₄	—	26	1	no	—
989	#496	—	13	1	no	—
990	#496	—	13	1	no	—
991	#495	—	13	1	no	—
992	#495	—	13	1	no	—
993	#489	—	13	1	no	—
994	#489	C₂×D₁₃	1	1	yes	characteristic, complemented
995	#488	—	13	1	no	—
996	#488	—	13	1	no	—
997	#485	—	13	1	no	—
998	#485	—	13	1	no	—
999	#484	—	13	1	no	—
1000	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
1001	#483	—	13	1	no	—
1002	#482	—	13	1	no	—
1003	#482	—	13	1	no	—
1004	#480	—	13	1	no	—
1005	#480	—	13	1	no	—
1006	#480	—	13	1	no	—
1007	#480	—	13	1	no	—
1008	#480	C₂×D₁₃	1	1	yes	characteristic, complemented
1009	#478	—	13	1	no	—
1010	#478	—	13	1	no	—
1011	#474	—	13	1	no	—
1012	#474	C₂×D₁₃	1	1	yes	characteristic, complemented
1013	#469	—	13	1	no	—
1014	#469	—	13	1	no	—
1015	#468	—	13	1	no	—
1016	#468	—	13	1	no	—
1017	#468	—	13	1	no	—
1018	#468	—	13	1	no	—
1019	#468	—	13	1	no	—
1020	#468	C₂×D₁₃	1	1	yes	characteristic, complemented
1021	#467	—	13	1	no	—
1022	#467	C₂×D₁₃	1	1	yes	characteristic, complemented
1023	#466	—	13	1	no	—
1024	#466	—	13	1	no	—
1025	#466	—	13	1	no	—
1026	#466	—	13	1	no	—
1027	#465	—	13	1	no	—
1028	#465	—	13	1	no	—
1029	#464	—	13	1	no	—
1030	#464	C₂×D₁₃	1	1	yes	characteristic, complemented
1031	#463	—	13	1	no	—
1032	#463	—	13	1	no	—
1033	#463	—	13	1	no	—
1034	#463	—	13	1	no	—
1035	#463	—	13	1	no	—
1036	#463	—	13	1	no	—
1037	#463	—	13	1	no	—
1038	#463	—	13	1	no	—
1039	#459	—	13	1	no	—
1040	#459	—	13	1	no	—
1041	#452	—	13	1	no	—
1042	#452	—	13	1	no	—
1043	#452	—	13	1	no	—
1044	#452	C₂×D₁₃	1	1	yes	characteristic, complemented
1045	#451	—	13	1	no	—
1046	#450	—	13	1	no	—
1047	#450	—	13	1	no	—
1048	#450	—	13	1	no	—
1049	#450	—	13	1	no	—
1050	#450	—	13	1	no	—
1051	#450	C₂×D₁₃	1	1	yes	characteristic, complemented
1052	#449	—	13	1	no	—
1053	#449	—	13	1	no	—
1054	#449	—	13	1	no	—
1055	#449	—	13	1	no	—
1056	#449	—	13	1	no	—
1057	#449	—	13	1	no	—
1058	#449	—	13	1	no	—
1059	#449	—	13	1	no	—
1060	#448	—	13	1	no	—
1061	#448	—	13	1	no	—
1062	#448	—	13	1	no	—
1063	#447	—	13	1	no	—
1064	#447	—	13	1	no	—
1065	#447	—	13	1	no	—
1066	#447	—	13	1	no	—
1067	#447	—	13	1	no	—
1068	#447	—	13	1	no	—
1069	#447	—	13	1	no	—
1070	#447	—	13	1	no	—
1071	#447	—	13	1	no	—
1072	#447	—	13	1	no	—
1073	#447	—	13	1	no	—
1074	#447	—	13	1	no	—
1075	#447	—	13	1	no	—
1076	#447	—	13	1	no	—
1077	#442	—	13	1	no	—
1078	#442	—	13	1	no	—
1079	#440	—	13	1	no	—
1080	#440	C₂×D₁₃	1	1	yes	characteristic, complemented
1081	C₄×D₈	—	13	1	no	—
1082	C₄×D₈	—	13	1	no	—
1083	C₄×D₈	—	13	1	no	—
1084	C₄×D₈	—	13	1	no	—
1085	#436	—	13	1	no	—
1086	#436	—	13	1	no	—
1087	#435	—	13	1	no	—
1088	#435	—	13	1	no	—
1089	#435	—	13	1	no	—
1090	#435	C₂×D₁₃	1	1	yes	characteristic, complemented
1091	C₈×D₄	—	13	1	no	—
1092	C₈×D₄	—	13	1	no	—
1093	#432	—	13	1	no	—
1094	#431	—	13	1	no	—
1095	#418	—	13	1	no	—
1096	#418	—	13	1	no	—
1097	#417	—	13	1	no	—
1098	#417	C₂×D₁₃	1	1	yes	characteristic, complemented
1099	#416	—	13	1	no	—
1100	#416	—	13	1	no	—
1101	C₂×#102	—	13	1	no	—
1102	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1103	#407	—	13	1	no	—
1104	#407	—	13	1	no	—
1105	C₂×C₂²⋊C₈	—	13	1	no	—
1106	C₂×C₂²⋊C₈	—	13	1	no	—
1107	C₂²×C₁₃	—	2	1	no	—
1108	C₂²×C₁₃	—	2	1	no	—
1109	C₂²×C₁₃	—	2	2	no	—
1110	C₂²×C₁₃	—	2	1	no	—
1111	C₂²×C₁₃	—	2	1	no	—
1112	C₂²×C₁₃	—	2	1	no	—
1113	C₂²×C₁₃	—	4	1	no	—
1114	C₂²×C₁₃	—	4	1	no	—
1115	C₂²×C₁₃	—	4	1	no	—
1116	C₂²×C₁₃	—	4	1	no	—
1117	C₂²×C₁₃	—	4	1	no	—
1118	C₂²×C₁₃	—	8	4	no	—
1119	C₂²×C₁₃	#575	1	2	yes	—
1120	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1121	C₂×D₁₃	—	2	1	no	—
1122	C₂×D₁₃	—	2	1	no	—
1123	C₂×D₁₃	—	2	1	no	—
1124	C₂×D₁₃	—	2	1	no	—
1125	C₂×D₁₃	—	2	2	no	—
1126	C₂×D₁₃	—	2	1	no	—
1127	C₂×D₁₃	—	2	1	no	—
1128	C₂×D₁₃	—	2	1	no	—
1129	C₂×D₁₃	—	2	1	no	—
1130	C₂×D₁₃	—	4	4	no	—
1131	C₂×D₁₃	—	4	8	no	—
1132	C₂×D₁₃	—	4	1	no	—
1133	C₂×D₁₃	—	4	1	no	—
1134	C₂×D₁₃	—	4	1	no	—
1135	C₂×D₁₃	—	4	1	no	—
1136	C₂×D₁₃	—	4	1	no	—
1137	C₂×D₁₃	—	4	1	no	—
1138	C₂×D₁₃	—	4	1	no	—
1139	C₂×D₁₃	—	4	1	no	—
1140	C₂×D₁₃	—	4	1	no	—
1141	C₂×D₁₃	—	4	1	no	—
1142	C₂×D₁₃	—	4	1	no	—
1143	C₂×D₁₃	—	4	1	no	—
1144	C₂×D₁₃	—	4	1	no	—
1145	C₂×D₁₃	—	4	1	no	—
1146	C₂×D₁₃	—	8	2	no	—
1147	C₂×D₁₃	—	8	4	no	—
1148	C₂×D₁₃	—	8	4	no	—
1149	C₂×D₁₃	—	8	4	no	—
1150	C₂×D₁₃	—	8	4	no	—
1151	C₂×D₁₃	—	16	2	no	—
1152	C₂×D₁₃	—	16	2	no	—
1153	C₂×D₁₃	#576	1	2	yes	—
1154	C₄×C₁₃	—	2	1	no	—
1155	C₄×C₁₃	—	2	1	no	—
1156	C₄×C₁₃	—	2	1	no	—
1157	C₄×C₁₃	—	2	1	no	—
1158	C₄×C₁₃	—	4	1	no	—
1159	C₄×C₁₃	—	4	1	no	—
1160	C₄×C₁₃	—	4	1	no	—
1161	C₄×C₁₃	—	4	1	no	—
1162	C₄×C₁₃	—	4	1	no	—
1163	C₄×C₁₃	—	4	1	no	—
1164	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1165	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1166	Dic₁₃	—	2	1	no	—
1167	Dic₁₃	—	2	1	no	—
1168	Dic₁₃	—	2	1	no	—
1169	Dic₁₃	—	2	1	no	—
1170	Dic₁₃	—	2	1	no	—
1171	Dic₁₃	—	4	1	no	—
1172	Dic₁₃	—	4	1	no	—
1173	Dic₁₃	—	4	1	no	—
1174	C₂⁵	—	26	1	no	—
1175	C₂×#41	—	13	1	no	—
1176	C₂×#41	—	13	1	no	—
1177	C₂×#41	—	13	1	no	—
1178	C₂×#41	—	13	1	no	—
1179	C₂×#41	—	13	1	no	—
1180	C₂×#41	—	26	1	no	—
1181	C₂×#41	—	26	1	no	—
1182	C₂×#41	—	26	1	no	—
1183	C₂×#41	—	52	2	no	—
1184	C₂×#41	—	52	2	no	—
1185	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1186	C₂²×Q₈	—	13	1	no	—
1187	C₂²×D₄	—	13	1	no	—
1188	C₂²×D₄	—	13	1	no	—
1189	C₂²×D₄	—	13	1	no	—
1190	C₂²×D₄	—	13	1	no	—
1191	C₂²×D₄	—	13	1	no	—
1192	C₂²×D₄	—	13	1	no	—
1193	C₂²×D₄	—	13	1	no	—
1194	C₂²×D₄	—	13	1	no	—
1195	C₂²×D₄	—	26	1	no	—
1196	C₂²×D₄	—	26	1	no	—
1197	C₂²×D₄	—	26	1	no	—
1198	C₂²×D₄	—	26	1	no	—
1199	C₂²×D₄	—	26	1	no	—
1200	C₂²×D₄	—	26	1	no	—
1201	C₂²×D₄	—	26	1	no	—
1202	C₂²×D₄	—	26	1	no	—
1203	C₂²×D₄	—	52	2	no	—
1204	C₂²×D₄	—	52	2	no	—
1205	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1206	C₂³×C₄	—	13	1	no	—
1207	C₂³×C₄	—	13	1	no	—
1208	C₂³×C₄	—	26	1	no	—
1209	C₂³×C₄	—	26	1	no	—
1210	AGL(1,ℤ/8)	—	52	2	no	—
1211	AGL(1,ℤ/8)	—	52	2	no	—
1212	AGL(1,ℤ/8)	—	52	2	no	—
1213	AGL(1,ℤ/8)	—	52	2	no	—
1214	#135	—	52	2	no	—
1215	#135	—	52	2	no	—
1216	C₂×Q₁₆	—	13	1	no	—
1217	C₂×Q₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1218	C₂×SD₁₆	—	13	1	no	—
1219	C₂×SD₁₆	—	13	1	no	—
1220	C₂×SD₁₆	—	13	1	no	—
1221	C₂×SD₁₆	—	13	1	no	—
1222	C₂×SD₁₆	—	13	1	no	—
1223	C₂×SD₁₆	—	13	1	no	—
1224	C₂×SD₁₆	—	13	1	no	—
1225	C₂×SD₁₆	—	13	1	no	—
1226	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1227	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic
1228	C₂×D₈	—	13	1	no	—
1229	C₂×D₈	—	13	1	no	—
1230	C₂×D₈	—	13	1	no	—
1231	C₂×D₈	—	13	1	no	—
1232	C₂×D₈	—	13	1	no	—
1233	C₂×D₈	—	13	1	no	—
1234	C₂×D₈	—	13	1	no	—
1235	C₂×D₈	—	13	1	no	—
1236	C₂×D₈	—	13	1	no	—
1237	C₂×D₈	—	13	1	no	—
1238	C₂×D₈	—	13	1	no	—
1239	C₂×D₈	—	13	1	no	—
1240	C₂×D₈	—	52	2	no	—
1241	C₂×D₈	—	52	2	no	—
1242	C₂×M₁₆	—	13	1	no	—
1243	C₂×M₁₆	—	13	1	no	—
1244	C₂×M₁₆	—	13	1	no	—
1245	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1246	C₂²×C₈	—	13	1	no	—
1247	C₂²×C₈	—	13	1	no	—
1248	C₂²×C₈	—	13	1	no	—
1249	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1250	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1251	#127	—	13	1	no	—
1252	#127	—	26	1	no	—
1253	#126	—	26	1	no	—
1254	#126	—	26	1	no	—
1255	#126	—	26	1	no	—
1256	#125	—	2	1	no	—
1257	#125	—	13	1	no	—
1258	#124	—	13	1	no	—
1259	#124	—	13	1	no	—
1260	#124	—	13	1	no	—
1261	#124	—	13	1	no	—
1262	#124	—	26	1	no	—
1263	#124	—	26	1	no	—
1264	#124	—	26	1	no	—
1265	#124	—	26	1	no	—
1266	#124	—	26	1	no	—
1267	#124	C₂²×D₁₃	1	1	yes	characteristic
1268	#123	—	2	1	no	—
1269	#123	—	26	1	no	—
1270	#123	—	26	1	no	—
1271	#123	—	26	1	no	—
1272	#123	—	26	1	no	—
1273	#123	—	26	1	no	—
1274	#123	—	26	1	no	—
1275	#123	—	26	1	no	—
1276	#123	—	26	1	no	—
1277	#123	—	26	1	no	—
1278	#123	—	26	1	no	—
1279	#123	—	26	1	no	—
1280	#123	—	26	1	no	—
1281	#123	—	26	1	no	—
1282	#123	—	26	1	no	—
1283	C₂²⋊Q₈	—	2	1	no	—
1284	C₂²⋊Q₈	—	2	1	no	—
1285	C₂²⋊Q₈	—	13	1	no	—
1286	C₂²⋊Q₈	—	13	1	no	—
1287	C₂²⋊Q₈	—	13	1	no	—
1288	C₂²⋊Q₈	—	13	1	no	—
1289	C₂²⋊Q₈	—	26	1	no	—
1290	C₂²⋊Q₈	—	26	1	no	—
1291	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1292	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1293	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1294	#121	—	2	1	no	—
1295	#121	—	13	1	no	—
1296	#121	—	13	1	no	—
1297	#121	—	13	1	no	—
1298	#121	—	13	1	no	—
1299	#121	—	13	1	no	—
1300	#121	—	13	1	no	—
1301	#121	—	13	1	no	—
1302	#121	—	13	1	no	—
1303	#121	—	13	1	no	—
1304	#121	—	13	1	no	—
1305	#121	—	13	1	no	—
1306	#121	—	13	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	—	26	1	no	—
1312	#121	—	26	1	no	—
1313	#121	—	26	1	no	—
1314	#121	—	26	1	no	—
1315	#121	—	26	1	no	—
1316	#121	—	26	1	no	—
1317	#121	—	26	1	no	—
1318	#121	—	26	1	no	—
1319	#121	—	26	1	no	—
1320	#121	—	26	1	no	—
1321	#121	—	26	1	no	—
1322	#121	—	26	1	no	—
1323	#121	—	26	1	no	—
1324	#121	—	26	1	no	—
1325	#121	—	26	1	no	—
1326	#121	—	26	1	no	—
1327	#121	—	26	1	no	—
1328	#121	—	26	1	no	—
1329	#121	C₂²×D₁₃	1	1	yes	characteristic
1330	#120	—	2	1	no	—
1331	#120	—	26	1	no	—
1332	#120	—	26	1	no	—
1333	#120	—	26	1	no	—
1334	#120	—	26	1	no	—
1335	#120	—	26	1	no	—
1336	#120	—	26	1	no	—
1337	#120	—	26	1	no	—
1338	#120	—	26	1	no	—
1339	#120	—	26	1	no	—
1340	#120	—	26	1	no	—
1341	#120	—	26	1	no	—
1342	#120	—	26	1	no	—
1343	#120	—	26	1	no	—
1344	C₄×Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1345	C₄×D₄	—	2	1	no	—
1346	C₄×D₄	—	13	1	no	—
1347	C₄×D₄	—	13	1	no	—
1348	C₄×D₄	—	13	1	no	—
1349	C₄×D₄	—	13	1	no	—
1350	C₄×D₄	—	13	1	no	—
1351	C₄×D₄	—	13	1	no	—
1352	C₄×D₄	—	13	1	no	—
1353	C₄×D₄	—	13	1	no	—
1354	C₄×D₄	—	13	1	no	—
1355	C₄×D₄	—	13	1	no	—
1356	C₄×D₄	—	13	1	no	—
1357	C₄×D₄	—	13	1	no	—
1358	C₄×D₄	—	13	1	no	—
1359	C₄×D₄	—	26	1	no	—
1360	C₄×D₄	—	26	1	no	—
1361	C₄×D₄	—	26	1	no	—
1362	C₄×D₄	—	26	1	no	—
1363	C₄×D₄	—	26	1	no	—
1364	C₄×D₄	—	26	1	no	—
1365	C₄×D₄	—	26	1	no	—
1366	C₄×D₄	—	26	1	no	—
1367	C₄×D₄	—	26	1	no	—
1368	C₄×D₄	—	26	1	no	—
1369	C₄×D₄	—	26	1	no	—
1370	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1371	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1372	#117	—	13	1	no	—
1373	#117	—	13	1	no	—
1374	#117	—	26	1	no	—
1375	#117	—	26	1	no	—
1376	C₂×C₄⋊C₄	—	13	1	no	—
1377	C₂×C₄⋊C₄	—	13	1	no	—
1378	C₂×C₄⋊C₄	—	26	1	no	—
1379	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1380	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1381	C₂×C₂²⋊C₄	—	2	1	no	—
1382	C₂×C₂²⋊C₄	—	13	1	no	—
1383	C₂×C₂²⋊C₄	—	13	1	no	—
1384	C₂×C₂²⋊C₄	—	26	1	no	—
1385	C₂×C₂²⋊C₄	—	26	1	no	—
1386	C₂×C₂²⋊C₄	—	26	1	no	—
1387	C₂×C₂²⋊C₄	—	26	1	no	—
1388	C₂×C₂²⋊C₄	—	26	1	no	—
1389	C₂×C₂²⋊C₄	—	26	1	no	—
1390	C₂×C₂²⋊C₄	—	26	1	no	—
1391	C₂×C₂²⋊C₄	—	26	1	no	—
1392	C₂×C₂²⋊C₄	—	26	1	no	—
1393	C₂×C₂²⋊C₄	—	26	1	no	—
1394	C₂×C₂²⋊C₄	—	26	1	no	—
1395	C₂×C₂²⋊C₄	—	26	1	no	—
1396	C₂×C₂²⋊C₄	—	26	1	no	—
1397	C₂×C₂²⋊C₄	—	26	1	no	—
1398	C₂×C₂²⋊C₄	—	26	1	no	—
1399	C₂×C₂²⋊C₄	—	26	1	no	—
1400	C₂×C₄²	—	13	1	no	—
1401	#107	—	13	1	no	—
1402	#107	—	13	1	no	—
1403	#107	—	13	1	no	—
1404	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1405	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1406	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1407	#106	—	13	1	no	—
1408	#106	—	13	1	no	—
1409	C₄⋊C₈	—	13	1	no	—
1410	C₄⋊C₈	—	13	1	no	—
1411	C₄⋊C₈	—	13	1	no	—
1412	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1413	#103	—	13	1	no	—
1414	#103	—	13	1	no	—
1415	#103	—	13	1	no	—
1416	#103	—	13	1	no	—
1417	#103	—	13	1	no	—
1418	#103	—	13	1	no	—
1419	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1420	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1421	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1422	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1423	#102	—	13	1	no	—
1424	#102	—	13	1	no	—
1425	#102	—	13	1	no	—
1426	#102	—	13	1	no	—
1427	#102	—	13	1	no	—
1428	#102	—	13	1	no	—
1429	#102	—	13	1	no	—
1430	#102	—	13	1	no	—
1431	#102	—	13	1	no	—
1432	#102	—	13	1	no	—
1433	#102	—	13	1	no	—
1434	#102	—	13	1	no	—
1435	#102	—	13	1	no	—
1436	#102	—	13	1	no	—
1437	#102	—	13	1	no	—
1438	#102	—	13	1	no	—
1439	#102	C₂²×D₁₃	1	1	yes	characteristic
1440	#102	C₂²×D₁₃	1	1	yes	characteristic
1441	#102	C₂²×D₁₃	1	1	yes	characteristic
1442	#102	C₂²×D₁₃	1	1	yes	characteristic
1443	#102	C₂²×D₁₃	1	1	yes	characteristic
1444	#102	C₂²×D₁₃	1	1	yes	characteristic
1445	C₂²⋊C₈	—	13	1	no	—
1446	C₂²⋊C₈	—	13	1	no	—
1447	C₂²⋊C₈	—	13	1	no	—
1448	C₂²⋊C₈	—	13	1	no	—
1449	C₂²⋊C₈	—	13	1	no	—
1450	C₂²⋊C₈	—	13	1	no	—
1451	C₂²⋊C₈	—	13	1	no	—
1452	C₂²⋊C₈	—	13	1	no	—
1453	C₂²⋊C₈	—	13	1	no	—
1454	C₂²⋊C₈	—	13	1	no	—
1455	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1456	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1457	#97	—	13	1	no	—
1458	#97	C₂²×D₁₃	1	1	yes	characteristic, complemented
1459	C₄×C₈	—	13	1	no	—
1460	C₄×C₈	—	13	1	no	—
1461	C₂×C₁₃	—	2	2	no	—
1462	C₂×C₁₃	—	4	2	no	—
1463	C₂×C₁₃	—	4	1	no	—
1464	C₂×C₁₃	—	8	1	no	—
1465	C₂×C₁₃	#3484	1	1	yes	characteristic
1466	C₂×C₁₃	C₂×#575	1	1	yes	characteristic
1467	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1468	D₁₃	—	2	2	no	—
1469	D₁₃	—	4	1	no	—
1470	D₁₃	—	4	1	no	—
1471	D₁₃	—	4	2	no	—
1472	D₁₃	—	8	1	no	—
1473	D₁₃	—	8	1	no	—
1474	D₁₃	—	8	1	no	—
1475	D₁₃	—	8	1	no	—
1476	C₂⁴	—	2	1	no	—
1477	C₂⁴	—	13	1	no	—
1478	C₂⁴	—	13	1	no	—
1479	C₂⁴	—	26	1	no	—
1480	C₂⁴	—	26	1	no	—
1481	C₂⁴	—	26	1	no	—
1482	C₂⁴	—	26	1	no	—
1483	C₂⁴	—	26	1	no	—
1484	C₂⁴	—	26	1	no	—
1485	C₂⁴	—	26	1	no	—
1486	C₂⁴	—	52	4	no	—
1487	C₂⁴	—	52	4	no	—
1488	C₂⁴	—	104	2	no	—
1489	#41	—	2	2	no	—
1490	#41	—	4	1	no	—
1491	#41	—	26	2	no	—
1492	#41	—	26	2	no	—
1493	#41	—	26	2	no	—
1494	#41	—	52	1	no	—
1495	#41	—	52	4	no	—
1496	#41	—	52	1	no	—
1497	#41	—	52	1	no	—
1498	#41	—	52	1	no	—
1499	#41	—	52	1	no	—
1500	#41	—	52	1	no	—
1501	#41	—	52	1	no	—
1502	#41	—	52	4	no	—
1503	#41	—	104	2	no	—
1504	C₂×Q₈	—	2	1	no	—
1505	C₂×Q₈	—	13	1	no	—
1506	C₂×Q₈	—	26	1	no	—
1507	C₂×Q₈	—	52	1	no	—
1508	C₂×Q₈	—	52	1	no	—
1509	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1510	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1511	C₂×D₄	—	2	2	no	—
1512	C₂×D₄	—	2	1	no	—
1513	C₂×D₄	—	2	1	no	—
1514	C₂×D₄	—	2	1	no	—
1515	C₂×D₄	—	4	1	no	—
1516	C₂×D₄	—	13	1	no	—
1517	C₂×D₄	—	13	1	no	—
1518	C₂×D₄	—	13	1	no	—
1519	C₂×D₄	—	13	1	no	—
1520	C₂×D₄	—	13	1	no	—
1521	C₂×D₄	—	13	1	no	—
1522	C₂×D₄	—	13	1	no	—
1523	C₂×D₄	—	13	1	no	—
1524	C₂×D₄	—	26	2	no	—
1525	C₂×D₄	—	26	1	no	—
1526	C₂×D₄	—	26	1	no	—
1527	C₂×D₄	—	26	1	no	—
1528	C₂×D₄	—	26	1	no	—
1529	C₂×D₄	—	26	1	no	—
1530	C₂×D₄	—	26	1	no	—
1531	C₂×D₄	—	26	1	no	—
1532	C₂×D₄	—	26	1	no	—
1533	C₂×D₄	—	26	1	no	—
1534	C₂×D₄	—	26	1	no	—
1535	C₂×D₄	—	26	1	no	—
1536	C₂×D₄	—	26	1	no	—
1537	C₂×D₄	—	26	1	no	—
1538	C₂×D₄	—	26	1	no	—
1539	C₂×D₄	—	26	1	no	—
1540	C₂×D₄	—	26	2	no	—
1541	C₂×D₄	—	26	2	no	—
1542	C₂×D₄	—	26	2	no	—
1543	C₂×D₄	—	26	2	no	—
1544	C₂×D₄	—	26	1	no	—
1545	C₂×D₄	—	26	1	no	—
1546	C₂×D₄	—	26	1	no	—
1547	C₂×D₄	—	26	1	no	—
1548	C₂×D₄	—	26	1	no	—
1549	C₂×D₄	—	26	1	no	—
1550	C₂×D₄	—	26	1	no	—
1551	C₂×D₄	—	26	1	no	—
1552	C₂×D₄	—	26	1	no	—
1553	C₂×D₄	—	26	1	no	—
1554	C₂×D₄	—	26	1	no	—
1555	C₂×D₄	—	52	1	no	—
1556	C₂×D₄	—	52	1	no	—
1557	C₂×D₄	—	52	1	no	—
1558	C₂×D₄	—	52	1	no	—
1559	C₂×D₄	—	52	1	no	—
1560	C₂×D₄	—	52	1	no	—
1561	C₂×D₄	—	52	1	no	—
1562	C₂×D₄	—	52	1	no	—
1563	C₂×D₄	—	52	1	no	—
1564	C₂×D₄	—	52	2	no	—
1565	C₂×D₄	—	52	4	no	—
1566	C₂×D₄	—	52	4	no	—
1567	C₂×D₄	—	52	4	no	—
1568	C₂×D₄	—	52	4	no	—
1569	C₂×D₄	—	52	4	no	—
1570	C₂×D₄	—	104	2	no	—
1571	C₂×D₄	—	104	2	no	—
1572	C₂×D₄	—	104	2	no	—
1573	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1574	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1575	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1576	C₂²×C₄	—	2	1	no	—
1577	C₂²×C₄	—	2	1	no	—
1578	C₂²×C₄	—	2	1	no	—
1579	C₂²×C₄	—	2	1	no	—
1580	C₂²×C₄	—	13	1	no	—
1581	C₂²×C₄	—	13	1	no	—
1582	C₂²×C₄	—	13	1	no	—
1583	C₂²×C₄	—	13	1	no	—
1584	C₂²×C₄	—	13	1	no	—
1585	C₂²×C₄	—	13	1	no	—
1586	C₂²×C₄	—	13	1	no	—
1587	C₂²×C₄	—	13	1	no	—
1588	C₂²×C₄	—	13	1	no	—
1589	C₂²×C₄	—	13	1	no	—
1590	C₂²×C₄	—	13	1	no	—
1591	C₂²×C₄	—	26	1	no	—
1592	C₂²×C₄	—	26	1	no	—
1593	C₂²×C₄	—	26	1	no	—
1594	C₂²×C₄	—	26	1	no	—
1595	C₂²×C₄	—	26	1	no	—
1596	C₂²×C₄	—	26	1	no	—
1597	C₂²×C₄	—	26	1	no	—
1598	C₂²×C₄	—	26	1	no	—
1599	C₂²×C₄	—	26	1	no	—
1600	C₂²×C₄	—	26	1	no	—
1601	C₂²×C₄	—	26	1	no	—
1602	C₂²×C₄	—	26	1	no	—
1603	C₂²×C₄	—	26	1	no	—
1604	C₂²×C₄	—	52	1	no	—
1605	C₂²×C₄	—	52	1	no	—
1606	C₂²×C₄	—	52	1	no	—
1607	C₂²×C₄	—	52	1	no	—
1608	C₂²×C₄	—	52	4	no	—
1609	C₂²×C₄	—	104	2	no	—
1610	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1611	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1612	Q₁₆	—	4	1	no	—
1613	Q₁₆	—	52	1	no	—
1614	SD₁₆	—	2	2	no	—
1615	SD₁₆	—	4	1	no	—
1616	SD₁₆	—	26	2	no	—
1617	SD₁₆	—	52	1	no	—
1618	SD₁₆	—	52	1	no	—
1619	SD₁₆	—	52	1	no	—
1620	SD₁₆	—	52	1	no	—
1621	SD₁₆	—	52	1	no	—
1622	SD₁₆	—	52	1	no	—
1623	SD₁₆	—	52	1	no	—
1624	D₈	—	26	2	no	—
1625	D₈	—	26	2	no	—
1626	D₈	—	26	2	no	—
1627	D₈	—	26	2	no	—
1628	D₈	—	26	2	no	—
1629	D₈	—	26	2	no	—
1630	D₈	—	52	1	no	—
1631	D₈	—	52	1	no	—
1632	D₈	—	52	1	no	—
1633	D₈	—	52	1	no	—
1634	D₈	—	52	1	no	—
1635	D₈	—	52	1	no	—
1636	M₁₆	—	4	1	no	—
1637	M₁₆	—	52	1	no	—
1638	M₁₆	—	52	1	no	—
1639	M₁₆	—	52	1	no	—
1640	C₂×C₈	—	4	1	no	—
1641	C₂×C₈	—	13	1	no	—
1642	C₂×C₈	—	13	1	no	—
1643	C₂×C₈	—	13	1	no	—
1644	C₂×C₈	—	13	1	no	—
1645	C₂×C₈	—	52	1	no	—
1646	C₂×C₈	—	52	1	no	—
1647	C₂×C₈	—	52	1	no	—
1648	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1649	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1650	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1651	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1652	C₄⋊C₄	—	2	1	no	—
1653	C₄⋊C₄	—	2	1	no	—
1654	C₄⋊C₄	—	2	1	no	—
1655	C₄⋊C₄	—	2	1	no	—
1656	C₄⋊C₄	—	2	1	no	—
1657	C₄⋊C₄	—	2	1	no	—
1658	C₄⋊C₄	—	2	1	no	—
1659	C₄⋊C₄	—	13	1	no	—
1660	C₄⋊C₄	—	13	1	no	—
1661	C₄⋊C₄	—	13	1	no	—
1662	C₄⋊C₄	—	13	1	no	—
1663	C₄⋊C₄	—	13	1	no	—
1664	C₄⋊C₄	—	26	1	no	—
1665	C₄⋊C₄	—	26	1	no	—
1666	C₄⋊C₄	—	26	1	no	—
1667	C₄⋊C₄	—	26	1	no	—
1668	C₄⋊C₄	—	26	1	no	—
1669	C₄⋊C₄	—	26	1	no	—
1670	C₄⋊C₄	—	26	1	no	—
1671	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1672	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1673	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1674	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1675	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1676	C₂²⋊C₄	—	2	1	no	—
1677	C₂²⋊C₄	—	2	1	no	—
1678	C₂²⋊C₄	—	2	1	no	—
1679	C₂²⋊C₄	—	2	1	no	—
1680	C₂²⋊C₄	—	2	1	no	—
1681	C₂²⋊C₄	—	2	1	no	—
1682	C₂²⋊C₄	—	2	1	no	—
1683	C₂²⋊C₄	—	13	1	no	—
1684	C₂²⋊C₄	—	13	1	no	—
1685	C₂²⋊C₄	—	13	1	no	—
1686	C₂²⋊C₄	—	13	1	no	—
1687	C₂²⋊C₄	—	13	1	no	—
1688	C₂²⋊C₄	—	13	1	no	—
1689	C₂²⋊C₄	—	26	1	no	—
1690	C₂²⋊C₄	—	26	1	no	—
1691	C₂²⋊C₄	—	26	1	no	—
1692	C₂²⋊C₄	—	26	1	no	—
1693	C₂²⋊C₄	—	26	1	no	—
1694	C₂²⋊C₄	—	26	1	no	—
1695	C₂²⋊C₄	—	26	1	no	—
1696	C₂²⋊C₄	—	26	1	no	—
1697	C₂²⋊C₄	—	26	1	no	—
1698	C₂²⋊C₄	—	26	1	no	—
1699	C₂²⋊C₄	—	26	1	no	—
1700	C₂²⋊C₄	—	26	1	no	—
1701	C₂²⋊C₄	—	26	1	no	—
1702	C₂²⋊C₄	—	26	1	no	—
1703	C₂²⋊C₄	—	26	1	no	—
1704	C₂²⋊C₄	—	26	1	no	—
1705	C₂²⋊C₄	—	26	1	no	—
1706	C₂²⋊C₄	—	26	1	no	—
1707	C₂²⋊C₄	—	26	1	no	—
1708	C₂²⋊C₄	—	26	1	no	—
1709	C₂²⋊C₄	—	26	1	no	—
1710	C₂²⋊C₄	—	26	1	no	—
1711	C₂²⋊C₄	—	26	1	no	—
1712	C₂²⋊C₄	—	26	1	no	—
1713	C₂²⋊C₄	—	26	1	no	—
1714	C₂²⋊C₄	—	26	1	no	—
1715	C₂²⋊C₄	—	26	1	no	—
1716	C₂²⋊C₄	—	26	1	no	—
1717	C₂²⋊C₄	—	26	1	no	—
1718	C₂²⋊C₄	—	26	1	no	—
1719	C₂²⋊C₄	—	26	1	no	—
1720	C₂²⋊C₄	—	26	1	no	—
1721	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1722	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1723	C₄²	—	2	1	no	—
1724	C₄²	—	13	1	no	—
1725	C₄²	—	13	1	no	—
1726	C₄²	—	13	1	no	—
1727	C₄²	—	26	1	no	—
1728	C₄²	—	26	1	no	—
1729	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1730	C₁₃	#61592	1	1	yes	characteristic, complemented, Sylow
1731	C₂³	—	2	1	no	—
1732	C₂³	—	2	1	no	—
1733	C₂³	—	4	2	no	—
1734	C₂³	—	4	2	no	—
1735	C₂³	—	8	1	no	—
1736	C₂³	—	13	1	no	—
1737	C₂³	—	13	1	no	—
1738	C₂³	—	13	1	no	—
1739	C₂³	—	26	2	no	—
1740	C₂³	—	26	2	no	—
1741	C₂³	—	26	4	no	—
1742	C₂³	—	26	2	no	—
1743	C₂³	—	26	1	no	—
1744	C₂³	—	26	1	no	—
1745	C₂³	—	26	1	no	—
1746	C₂³	—	26	1	no	—
1747	C₂³	—	26	1	no	—
1748	C₂³	—	52	1	no	—
1749	C₂³	—	52	1	no	—
1750	C₂³	—	52	1	no	—
1751	C₂³	—	52	2	no	—
1752	C₂³	—	52	2	no	—
1753	C₂³	—	52	2	no	—
1754	C₂³	—	52	2	no	—
1755	C₂³	—	52	2	no	—
1756	C₂³	—	52	2	no	—
1757	C₂³	—	52	2	no	—
1758	C₂³	—	52	2	no	—
1759	C₂³	—	52	2	no	—
1760	C₂³	—	52	2	no	—
1761	C₂³	—	52	2	no	—
1762	C₂³	—	52	2	no	—
1763	C₂³	—	52	2	no	—
1764	C₂³	—	104	1	no	—
1765	C₂³	—	104	1	no	—
1766	C₂³	—	104	1	no	—
1767	C₂³	—	104	1	no	—
1768	C₂³	—	104	1	no	—
1769	C₂³	—	104	1	no	—
1770	C₂³	—	104	1	no	—
1771	C₂³	—	104	16	no	—
1772	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1773	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1774	Q₈	—	2	1	no	—
1775	Q₈	—	2	1	no	—
1776	Q₈	—	2	1	no	—
1777	Q₈	—	2	1	no	—
1778	Q₈	—	8	1	no	—
1779	Q₈	—	26	1	no	—
1780	Q₈	—	26	1	no	—
1781	Q₈	—	52	2	no	—
1782	D₄	—	2	2	no	—
1783	D₄	—	2	1	no	—
1784	D₄	—	2	1	no	—
1785	D₄	—	2	1	no	—
1786	D₄	—	4	2	no	—
1787	D₄	—	4	2	no	—
1788	D₄	—	8	1	no	—
1789	D₄	—	13	2	no	—
1790	D₄	—	26	4	no	—
1791	D₄	—	26	2	no	—
1792	D₄	—	26	1	no	—
1793	D₄	—	26	1	no	—
1794	D₄	—	26	1	no	—
1795	D₄	—	26	1	no	—
1796	D₄	—	26	1	no	—
1797	D₄	—	26	1	no	—
1798	D₄	—	26	1	no	—
1799	D₄	—	26	1	no	—
1800	D₄	—	26	1	no	—
1801	D₄	—	52	1	no	—
1802	D₄	—	52	2	no	—
1803	D₄	—	52	2	no	—
1804	D₄	—	52	2	no	—
1805	D₄	—	52	2	no	—
1806	D₄	—	52	2	no	—
1807	D₄	—	52	2	no	—
1808	D₄	—	52	1	no	—
1809	D₄	—	52	2	no	—
1810	D₄	—	52	2	no	—
1811	D₄	—	52	2	no	—
1812	D₄	—	52	2	no	—
1813	D₄	—	52	2	no	—
1814	D₄	—	52	2	no	—
1815	D₄	—	52	2	no	—
1816	D₄	—	104	1	no	—
1817	D₄	—	104	1	no	—
1818	D₄	—	104	1	no	—
1819	D₄	—	104	1	no	—
1820	D₄	—	104	1	no	—
1821	D₄	—	104	1	no	—
1822	D₄	—	104	1	no	—
1823	D₄	—	104	1	no	—
1824	D₄	—	104	1	no	—
1825	D₄	—	104	1	no	—
1826	D₄	—	104	1	no	—
1827	D₄	—	104	1	no	—
1828	D₄	#88256	1	2	yes	—
1829	C₂×C₄	—	2	1	no	—
1830	C₂×C₄	—	2	1	no	—
1831	C₂×C₄	—	2	1	no	—
1832	C₂×C₄	—	2	1	no	—
1833	C₂×C₄	—	2	1	no	—
1834	C₂×C₄	—	2	1	no	—
1835	C₂×C₄	—	2	1	no	—
1836	C₂×C₄	—	2	1	no	—
1837	C₂×C₄	—	2	1	no	—
1838	C₂×C₄	—	2	1	no	—
1839	C₂×C₄	—	4	2	no	—
1840	C₂×C₄	—	8	1	no	—
1841	C₂×C₄	—	8	1	no	—
1842	C₂×C₄	—	8	1	no	—
1843	C₂×C₄	—	13	1	no	—
1844	C₂×C₄	—	13	1	no	—
1845	C₂×C₄	—	13	1	no	—
1846	C₂×C₄	—	13	1	no	—
1847	C₂×C₄	—	13	1	no	—
1848	C₂×C₄	—	26	2	no	—
1849	C₂×C₄	—	26	1	no	—
1850	C₂×C₄	—	26	1	no	—
1851	C₂×C₄	—	26	1	no	—
1852	C₂×C₄	—	26	1	no	—
1853	C₂×C₄	—	26	1	no	—
1854	C₂×C₄	—	26	1	no	—
1855	C₂×C₄	—	26	1	no	—
1856	C₂×C₄	—	26	1	no	—
1857	C₂×C₄	—	26	1	no	—
1858	C₂×C₄	—	52	1	no	—
1859	C₂×C₄	—	52	1	no	—
1860	C₂×C₄	—	52	1	no	—
1861	C₂×C₄	—	52	1	no	—
1862	C₂×C₄	—	52	1	no	—
1863	C₂×C₄	—	52	2	no	—
1864	C₂×C₄	—	52	2	no	—
1865	C₂×C₄	—	52	2	no	—
1866	C₂×C₄	—	52	2	no	—
1867	C₂×C₄	—	52	2	no	—
1868	C₂×C₄	—	52	1	no	—
1869	C₂×C₄	—	52	1	no	—
1870	C₂×C₄	—	52	2	no	—
1871	C₂×C₄	—	104	1	no	—
1872	C₂×C₄	—	104	1	no	—
1873	C₂×C₄	—	104	1	no	—
1874	C₂×C₄	—	104	1	no	—
1875	C₂×C₄	—	104	1	no	—
1876	C₂×C₄	—	104	1	no	—
1877	C₂×C₄	—	104	1	no	—
1878	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1879	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1880	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1881	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1882	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1883	C₈	—	2	1	no	—
1884	C₈	—	2	1	no	—
1885	C₈	—	2	1	no	—
1886	C₈	—	2	1	no	—
1887	C₈	—	26	1	no	—
1888	C₈	—	26	1	no	—
1889	C₈	—	26	1	no	—
1890	C₈	—	26	1	no	—
1891	C₂²	—	2	1	no	—
1892	C₂²	—	2	1	no	—
1893	C₂²	—	2	1	no	—
1894	C₂²	—	2	2	no	—
1895	C₂²	—	2	1	no	—
1896	C₂²	—	2	1	no	—
1897	C₂²	—	4	1	no	—
1898	C₂²	—	4	1	no	—
1899	C₂²	—	4	1	no	—
1900	C₂²	—	4	1	no	—
1901	C₂²	—	4	1	no	—
1902	C₂²	—	8	4	no	—
1903	C₂²	—	13	2	no	—
1904	C₂²	—	26	1	no	—
1905	C₂²	—	26	1	no	—
1906	C₂²	—	26	1	no	—
1907	C₂²	—	26	1	no	—
1908	C₂²	—	26	2	no	—
1909	C₂²	—	26	1	no	—
1910	C₂²	—	26	1	no	—
1911	C₂²	—	26	1	no	—
1912	C₂²	—	26	1	no	—
1913	C₂²	—	52	4	no	—
1914	C₂²	—	52	8	no	—
1915	C₂²	—	52	1	no	—
1916	C₂²	—	52	1	no	—
1917	C₂²	—	52	1	no	—
1918	C₂²	—	52	1	no	—
1919	C₂²	—	52	1	no	—
1920	C₂²	—	52	1	no	—
1921	C₂²	—	52	1	no	—
1922	C₂²	—	52	1	no	—
1923	C₂²	—	52	1	no	—
1924	C₂²	—	52	1	no	—
1925	C₂²	—	52	1	no	—
1926	C₂²	—	52	1	no	—
1927	C₂²	—	52	1	no	—
1928	C₂²	—	52	1	no	—
1929	C₂²	—	104	4	no	—
1930	C₂²	—	104	2	no	—
1931	C₂²	—	104	4	no	—
1932	C₂²	—	104	4	no	—
1933	C₂²	—	104	4	no	—
1934	C₂²	—	208	2	no	—
1935	C₂²	—	208	2	no	—
1936	C₂²	#11719482	1	2	yes	—
1937	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1938	C₄	—	2	1	no	—
1939	C₄	—	2	1	no	—
1940	C₄	—	2	1	no	—
1941	C₄	—	2	1	no	—
1942	C₄	—	4	1	no	—
1943	C₄	—	4	1	no	—
1944	C₄	—	4	1	no	—
1945	C₄	—	4	1	no	—
1946	C₄	—	4	1	no	—
1947	C₄	—	4	1	no	—
1948	C₄	—	26	1	no	—
1949	C₄	—	26	1	no	—
1950	C₄	—	26	1	no	—
1951	C₄	—	26	1	no	—
1952	C₄	—	26	1	no	—
1953	C₄	—	52	1	no	—
1954	C₄	—	52	1	no	—
1955	C₄	—	52	1	no	—
1956	C₄	C₂×#88256	1	1	yes	characteristic
1957	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1958	C₂	—	2	2	no	—
1959	C₂	—	4	1	no	—
1960	C₂	—	4	2	no	—
1961	C₂	—	8	1	no	—
1962	C₂	—	26	2	no	—
1963	C₂	—	52	1	no	—
1964	C₂	—	52	1	no	—
1965	C₂	—	52	2	no	—
1966	C₂	—	104	1	no	—
1967	C₂	—	104	1	no	—
1968	C₂	—	104	1	no	—
1969	C₂	—	104	1	no	—
1970	C₂	#13128466	1	1	yes	characteristic
1971	C₂	C₂×#11719482	1	1	yes	characteristic
1972	C₂	D₁₃×#576	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3314	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3314	D₁₃
hypocenter	C₁₃	#61592
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3314

Complements

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

N	H ≅ G/N	type
1. #13128869	C₂	semidirect
2. D₁₃×#546	C₂	semidirect
3. #13127040	C₂	semidirect
4. #13127038	C₂	semidirect
5. #13126991	C₂	semidirect
6. #13126989	C₂	semidirect
7. #13126911	C₂	semidirect
8. #13126684	C₂	semidirect
9. #13126682	C₂	semidirect
10. #13126518	C₂	semidirect
11. #13126514	C₂	semidirect
12. #13126444	C₂	semidirect
13. #13126440	C₂	semidirect
14. #13126378	C₂	semidirect
15. #13126371	C₂	semidirect
16. #13126321	C₂	semidirect
17. #13126317	C₂	semidirect
18. #13125824	C₂	semidirect
19. #13125805	C₂	semidirect
20. #13125651	C₂	semidirect
21. #13125641	C₂	semidirect
22. #13125618	C₂	semidirect
23. #13125586	C₂	semidirect
24. #13124978	C₂	semidirect
25. #13124838	C₂	semidirect
26. #13124089	C₂	semidirect
27. #13124064	C₂	semidirect
28. #13124057	C₂	semidirect
29. C₂×#11718434	C₂	semidirect
30. #13123866	C₂	semidirect
31. C₁₃×#3314	C₂	semidirect
32. C₂×#41×D₁₃	C₂²	semidirect
33. C₂²×D₄×D₁₃	C₂²	semidirect
34. C₁₃×#554	C₂²	semidirect
36. #11719534	C₂²	semidirect
37. C₂×#88203	C₂²	semidirect
38. #11719511	C₂²	semidirect
39. C₂²×#6104	C₂²	semidirect
40. C₂×#88173	C₂²	semidirect
41. C₂×#88170	C₂²	semidirect
42. C₂×#88168	C₂²	semidirect
43. C₂×#88168	C₂²	semidirect
44. C₂×#88162	C₂²	semidirect
45. C₂²×D₁₀₄	C₂²	semidirect
46. #11719439	C₂²	semidirect
47. #11719430	C₂²	semidirect
50. #11719381	C₂²	semidirect
51. D₁₃×#124	C₂²	semidirect
58. #11719335	C₂²	semidirect
59. #11719335	C₂²	semidirect
60. #11719335	C₂²	semidirect
62. #11719332	C₂²	semidirect
63. D₁₃×C₂²⋊Q₈	C₂²	semidirect
64. #11719317	C₂²	semidirect
67. D₁₃×#121	C₂²	semidirect
70. #11719285	C₂²	semidirect
71. #11719282	C₂²	semidirect
72. #11719259	C₂²	semidirect
75. D₄×D₅₂	C₂²	semidirect
78. C₄×D₄×D₁₃	C₂²	semidirect
79. #11719219	C₂²	semidirect
80. #11719219	C₂²	semidirect
82. C₂×#88149	C₂²	semidirect
85. C₁₃×#489	C₂²	semidirect
86. C₁₃×#484	C₂²	semidirect
87. C₁₃×#480	C₂²	semidirect
88. C₁₃×#474	C₂²	semidirect
89. C₁₃×#468	C₂²	semidirect
90. C₁₃×#467	C₂²	semidirect
91. C₁₃×#464	C₂²	semidirect
92. C₁₃×#452	C₂²	semidirect
93. C₁₃×#450	C₂²	semidirect
94. C₁₃×#440	C₂²	semidirect
95. C₁₃×#435	C₂²	semidirect
96. C₁₃×#417	C₂²	semidirect
97. C₂×C₁₃×#102	C₂²	semidirect
98. #11718899	C₂²	semidirect
99. #11718878	C₂²	semidirect
100. #11718852	C₂²	semidirect
101. #11718848	C₂²	semidirect
102. #11718847	C₂²	semidirect
103. #11718833	C₂²	semidirect
104. #11718830	C₂²	semidirect
105. #11718830	C₂²	semidirect
106. #11718829	C₂²	semidirect
107. #11718826	C₂²	semidirect
108. #11718796	C₂²	semidirect
109. #11718789	C₂²	semidirect
110. #11718787	C₂²	semidirect
111. #11718775	C₂²	semidirect
112. C₈×C₂²⋊D₁₃	C₂²	semidirect
113. C₂×#88060	C₂²	semidirect
114. #11718750	C₂²	semidirect
115. #11718748	C₂²	semidirect
116. #11718719	C₂²	semidirect
117. #11718718	C₂²	semidirect
118. #11718712	C₂²	semidirect
119. #11718710	C₂²	semidirect
120. #11718709	C₂²	semidirect
121. #11718708	C₂²	semidirect
122. #11718707	C₂²	semidirect
123. #11718707	C₂²	semidirect
124. #11718700	C₂²	semidirect
125. #11718697	C₂²	semidirect
126. #11718689	C₂²	semidirect
127. #11718687	C₂²	semidirect
128. #11718676	C₂²	semidirect
129. #11718675	C₂²	semidirect
130. #11718672	C₂²	semidirect
131. #11718631	C₂²	semidirect
132. #11718628	C₂²	semidirect
133. #11718627	C₂²	semidirect
134. C₂×#88049	C₂²	semidirect
135. #11718552	C₂²	semidirect
136. #11718549	C₂²	semidirect
137. #11718547	C₂²	semidirect
138. #11718547	C₂²	semidirect
139. #11718546	C₂²	semidirect
140. #11718544	C₂²	semidirect
141. #11718544	C₂²	semidirect
142. #11718543	C₂²	semidirect
143. #11718543	C₂²	semidirect
144. #11718543	C₂²	semidirect
145. #11718533	C₂²	semidirect
146. #11718533	C₂²	semidirect
147. #11718505	C₂²	semidirect
148. #11718504	C₂²	semidirect
149. #11718497	C₂²	semidirect
150. #11718494	C₂²	semidirect
151. #11718480	C₂²	semidirect
152. #11718480	C₂²	semidirect
153. #11718480	C₂²	semidirect
154. #11718476	C₂²	semidirect
155. #11718473	C₂²	semidirect
156. #11718473	C₂²	semidirect
157. #11718472	C₂²	semidirect
158. #11718472	C₂²	semidirect
159. #11718472	C₂²	semidirect
160. #11718471	C₂²	semidirect
161. #11718467	C₂²	semidirect
162. #11718467	C₂²	semidirect
163. #11718467	C₂²	semidirect
164. #11718466	C₂²	semidirect
165. #11718465	C₂²	semidirect
166. #11718461	C₂²	semidirect
167. #11718448	C₂²	semidirect
168. #11718448	C₂²	semidirect
169. #11718442	C₂²	semidirect
170. #11718442	C₂²	semidirect
171. #11718440	C₂²	semidirect
172. #11718436	C₂²	semidirect
173. #11718436	C₂²	semidirect
176. #11718434	C₂²	semidirect
177. #11718434	C₂²	semidirect
178. #11718434	C₂²	semidirect
179. #11718434	C₂²	semidirect
180. #11718434	C₂²	semidirect
181. #11718434	C₂²	semidirect
182. #11718434	C₂²	semidirect
183. #11718434	C₂²	semidirect
184. #11718433	C₂²	semidirect
185. #11718431	C₂²	semidirect
186. #11718431	C₂²	semidirect
187. #11718429	C₂²	semidirect
188. #11718424	C₂²	semidirect
189. #11718417	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718395	C₂²	semidirect
192. #11718393	C₂²	semidirect
193. #11718393	C₂²	semidirect
194. #11718392	C₂²	semidirect
195. #11718390	C₂²	semidirect
196. #11718387	C₂²	semidirect
197. #11718386	C₂²	semidirect
198. D₁₃×C₂²⋊C₈	C₂²	semidirect
199. #11718373	C₂²	semidirect
200. #11718372	C₂²	semidirect
201. #11718367	C₂²	semidirect
202. #11718366	C₂²	semidirect
212. C₂×#6131	C₂³	semidirect
234. C₂²×D₅₂	C₂³	semidirect
239. C₂×C₁₃×Q₁₆	C₂³	semidirect
242. C₂×C₁₃×M₁₆	C₂³	semidirect
244. C₁₃×C₄⋊Q₈	C₂³	semidirect
252. C₁₃×C₂²⋊Q₈	C₂³	semidirect
256. C₄×Q₈×C₁₃	C₂³	semidirect
261. C₂×C₁₃×C₄⋊C₄	C₂³	semidirect
270. #88201	C₂³	semidirect
273. C₂×#6107	C₂³	semidirect
276. C₂×#6106	C₂³	semidirect
277. C₂×#6106	C₂³	semidirect
278. C₂×#6106	C₂³	semidirect
303. #88184	C₂³	semidirect
315. C₂×#6099	C₂³	semidirect
329. C₂×#6095	C₂³	semidirect
330. C₂×#6095	C₂³	semidirect
331. C₂×#6095	C₂³	semidirect
334. C₂×C₈×D₁₃	C₂³	semidirect
335. C₂×C₈×D₁₃	C₂³	semidirect
359. #88149	C₂³	semidirect
360. #88149	C₂³	semidirect
375. #88147	C₂³	semidirect
376. #88147	C₂³	semidirect
379. #88146	C₂³	semidirect
383. #88144	C₂³	semidirect
422. #88128	C₂³	semidirect
427. C₄×D₅₂	C₂³	semidirect
430. C₁₃×#107	C₂³	semidirect
431. C₁₃×#107	C₂³	semidirect
432. C₁₃×#107	C₂³	semidirect
433. C₁₃×C₄⋊C₈	C₂³	semidirect
434. C₁₃×#103	C₂³	semidirect
435. C₁₃×#103	C₂³	semidirect
436. C₁₃×#103	C₂³	semidirect
437. C₁₃×#103	C₂³	semidirect
445. C₁₃×C₂²⋊C₈	C₂³	semidirect
446. C₁₃×#97	C₂³	semidirect
447. #88075	C₂³	semidirect
448. #88075	C₂³	semidirect
452. C₂²⋊#1055	C₂³	semidirect
455. #88061	C₂³	semidirect
456. #88061	C₂³	semidirect
457. #88061	C₂³	semidirect
464. #88060	C₂³	semidirect
465. #88060	C₂³	semidirect
466. #88057	C₂³	semidirect
467. #88056	C₂³	semidirect
468. #88054	C₂³	semidirect
469. #88054	C₂³	semidirect
470. C₈×Dic₁₃	C₂³	semidirect
471. C₈×Dic₁₃	C₂³	semidirect
472. #88050	C₂³	semidirect
473. #88050	C₂³	semidirect
474. #88050	C₂³	semidirect
481. #88049	C₂³	semidirect
482. #88049	C₂³	semidirect
483. #88049	C₂³	semidirect
484. #88048	C₂³	semidirect
485. #88047	C₂³	semidirect
486. #88047	C₂³	semidirect
487. #88047	C₂³	semidirect
488. C₄⋊#1055	C₂³	semidirect
489. #88043	C₂³	semidirect
752. #3314	D₁₃	semidirect
947. #554	C₂×D₁₃	semidirect
994. #489	C₂×D₁₃	semidirect
1000. #484	C₂×D₁₃	semidirect
1008. #480	C₂×D₁₃	semidirect
1012. #474	C₂×D₁₃	semidirect
1020. #468	C₂×D₁₃	semidirect
1022. #467	C₂×D₁₃	semidirect
1030. #464	C₂×D₁₃	semidirect
1044. #452	C₂×D₁₃	semidirect
1051. #450	C₂×D₁₃	semidirect
1080. #440	C₂×D₁₃	semidirect
1090. #435	C₂×D₁₃	semidirect
1098. #417	C₂×D₁₃	semidirect
1102. C₂×#102	C₂×D₁₃	semidirect
1217. C₂×Q₁₆	C₂²×D₁₃	semidirect
1245. C₂×M₁₆	C₂²×D₁₃	semidirect
1250. C₄⋊Q₈	C₂²×D₁₃	semidirect
1293. C₂²⋊Q₈	C₂²×D₁₃	semidirect
1344. C₄×Q₈	C₂²×D₁₃	semidirect
1380. C₂×C₄⋊C₄	C₂²×D₁₃	semidirect
1404. #107	C₂²×D₁₃	semidirect
1405. #107	C₂²×D₁₃	semidirect
1406. #107	C₂²×D₁₃	semidirect
1412. C₄⋊C₈	C₂²×D₁₃	semidirect
1419. #103	C₂²×D₁₃	semidirect
1420. #103	C₂²×D₁₃	semidirect
1421. #103	C₂²×D₁₃	semidirect
1422. #103	C₂²×D₁₃	semidirect
1456. C₂²⋊C₈	C₂²×D₁₃	semidirect
1458. #97	C₂²×D₁₃	semidirect
1730. C₁₃	#61592	semidirect

Maximal subgroups

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

subgroup	index
#13128869	2
D₁₃×#546	2
#13127040	2
#13127038	2
#13126991	2
#13126989	2
#13126911	2
#13126684	2
#13126682	2
#13126518	2
#13126514	2
#13126444	2
#13126440	2
#13126378	2
#13126371	2
#13126321	2
#13126317	2
#13125824	2
#13125805	2
#13125651	2
#13125641	2
#13125618	2
#13125586	2
#13124978	2
#13124838	2
#13124089	2
#13124064	2
#13124057	2
C₂×#11718434	2
#13123866	2
C₁₃×#3314	2
#61592	13