Subgroups — #16740489

Order 3328.

2286 conjugacy classes of subgroups.

The subgroup lattice has 1930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13128570	C₂	1	1	yes	maximal, characteristic, complemented
2	#13128464	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127076	C₂	1	1	yes	maximal, characteristic, complemented
4	#13127041	C₂	1	1	yes	maximal, characteristic, complemented
5	#13127039	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126993	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126986	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126984	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126978	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126977	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126972	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126794	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126792	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126691	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126689	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126648	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126642	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125185	C₂	1	1	yes	maximal, characteristic, complemented
19	#13124791	C₂	1	1	yes	maximal, characteristic, complemented
20	#13124748	C₂	1	1	yes	maximal, characteristic, complemented
21	#13124662	C₂	1	1	yes	maximal, characteristic, complemented
22	#13124482	C₂	1	1	yes	maximal, characteristic, complemented
23	#13124454	C₂	1	1	yes	maximal, characteristic, complemented
24	#13124334	C₂	1	1	yes	maximal, characteristic, complemented
25	#13124099	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#447	C₂	1	1	yes	maximal, characteristic, complemented
27	#13123683	C₂	1	1	yes	maximal, characteristic, complemented
28	#13123565	C₂	1	1	yes	maximal, characteristic, complemented
29	#13123361	C₂	1	1	yes	maximal, characteristic, complemented
30	D₁₃×#418	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#88251	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#555	C₂²	1	1	yes	characteristic, complemented
35	D₄²×C₁₃	C₂²	1	1	yes	characteristic, complemented
36	#11719511	C₂²	1	1	yes	characteristic, complemented
37	D₄×C₂²⋊D₁₃	—	2	1	no	—
38	D₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×#88191	—	2	1	no	—
40	C₂×#88165	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
42	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#88161	C₂²	1	1	yes	characteristic, complemented
44	C₂×M₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
45	#11719434	C₂²	1	1	yes	characteristic, complemented
46	#11719431	C₂²	1	1	yes	characteristic, complemented
47	#11719422	C₂²	1	1	yes	characteristic, complemented
48	#11719420	C₂²	1	1	yes	characteristic
49	#11719384	—	2	1	no	—
50	#11719381	—	2	1	no	—
51	#11719374	—	2	1	no	—
52	#11719373	—	2	1	no	—
53	#11719320	—	2	1	no	—
54	#11719319	C₂²	1	1	yes	characteristic, complemented
55	#11719317	C₂²	1	1	yes	characteristic, complemented
56	#11719316	C₂²	1	1	yes	characteristic, complemented
57	#11719315	—	2	1	no	—
58	#11719315	—	2	1	no	—
59	#11719314	C₂²	1	1	yes	characteristic, complemented
60	#11719312	C₂²	1	1	yes	characteristic
61	#11719312	C₂²	1	1	yes	characteristic, complemented
62	#11719311	C₂²	1	1	yes	characteristic
63	#11719310	—	2	1	no	—
64	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
65	#11719296	—	2	1	no	—
66	#11719295	—	2	1	no	—
67	#11719294	—	2	1	no	—
68	D₁₃×#120	—	2	1	no	—
69	#11719270	C₂²	1	1	yes	characteristic, complemented
70	#11719263	C₂²	1	1	yes	characteristic, complemented
71	#11719259	C₂²	1	1	yes	characteristic, complemented
72	#11719255	C₂²	1	1	yes	characteristic, complemented
73	#11719252	C₂²	1	1	yes	characteristic
74	#11719250	C₂²	1	1	yes	characteristic
75	#11719250	C₂²	1	1	yes	characteristic, complemented
76	#11719237	C₂²	1	1	yes	characteristic, complemented
77	#11719235	C₂²	1	1	yes	characteristic, complemented
78	#11719233	—	2	1	no	—
79	#11719232	—	2	1	no	—
80	#11719228	C₂²	1	1	yes	characteristic, complemented
81	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
82	C₁₃×#486	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#476	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#469	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#459	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
90	C₁₃×#447	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₁₃×D₈	C₂²	1	1	yes	characteristic, complemented
92	C₁₃×#436	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
94	C₁₃×#418	C₂²	1	1	yes	characteristic, complemented
95	#11718878	C₂²	1	1	yes	characteristic, complemented
96	#11718878	C₂²	1	1	yes	characteristic, complemented
97	#11718876	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
99	#11718820	C₂²	1	1	yes	characteristic, complemented
100	#11718819	C₂²	1	1	yes	characteristic, complemented
101	#11718818	C₂²	1	1	yes	characteristic, complemented
102	#11718817	C₂²	1	1	yes	characteristic, complemented
103	#11718817	C₂²	1	1	yes	characteristic, complemented
104	#11718817	C₂²	1	1	yes	characteristic, complemented
105	#11718814	C₂²	1	1	yes	characteristic, complemented
106	#11718811	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718796	C₂²	1	1	yes	characteristic, complemented
109	#11718795	C₂²	1	1	yes	characteristic, complemented
110	#11718794	C₂²	1	1	yes	characteristic, complemented
111	#11718792	C₂²	1	1	yes	characteristic, complemented
112	#11718788	C₂²	1	1	yes	characteristic, complemented
113	#11718788	C₂²	1	1	yes	characteristic, complemented
114	#11718750	C₂²	1	1	yes	characteristic, complemented
115	#11718748	C₂²	1	1	yes	characteristic, complemented
116	#11718733	C₂²	1	1	yes	characteristic, complemented
117	#11718732	C₂²	1	1	yes	characteristic, complemented
118	#11718703	C₂²	1	1	yes	characteristic, complemented
119	#11718700	C₂²	1	1	yes	characteristic, complemented
120	#11718699	C₂²	1	1	yes	characteristic, complemented
121	#11718699	C₂²	1	1	yes	characteristic, complemented
122	#11718698	C₂²	1	1	yes	characteristic, complemented
123	#11718697	C₂²	1	1	yes	characteristic, complemented
124	#11718696	C₂²	1	1	yes	characteristic, complemented
125	#11718695	C₂²	1	1	yes	characteristic, complemented
126	#11718677	C₂²	1	1	yes	characteristic, complemented
127	#11718675	C₂²	1	1	yes	characteristic, complemented
128	#11718675	C₂²	1	1	yes	characteristic, complemented
129	#11718672	C₂²	1	1	yes	characteristic, complemented
130	#11718670	C₂²	1	1	yes	characteristic, complemented
131	#11718664	C₂²	1	1	yes	characteristic, complemented
132	#11718663	C₂²	1	1	yes	characteristic, complemented
133	#11718662	C₂²	1	1	yes	characteristic, complemented
134	#11718657	C₂²	1	1	yes	characteristic, complemented
135	#11718546	C₂²	1	1	yes	characteristic, complemented
136	#11718545	C₂²	1	1	yes	characteristic, complemented
137	#11718541	C₂²	1	1	yes	characteristic, complemented
138	#11718533	C₂²	1	1	yes	characteristic, complemented
139	#11718532	C₂²	1	1	yes	characteristic, complemented
140	#11718531	C₂²	1	1	yes	characteristic, complemented
141	#11718526	C₂²	1	1	yes	characteristic, complemented
142	#11718525	C₂²	1	1	yes	characteristic, complemented
143	#11718524	C₂²	1	1	yes	characteristic, complemented
144	#11718523	C₂²	1	1	yes	characteristic, complemented
145	#11718522	C₂²	1	1	yes	characteristic, complemented
146	#11718521	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718505	C₂²	1	1	yes	characteristic, complemented
149	#11718500	C₂²	1	1	yes	characteristic, complemented
150	#11718497	C₂²	1	1	yes	characteristic, complemented
151	#11718448	C₂²	1	1	yes	characteristic, complemented
152	#11718447	C₂²	1	1	yes	characteristic, complemented
153	#11718446	C₂²	1	1	yes	characteristic, complemented
154	#11718446	C₂²	1	1	yes	characteristic, complemented
155	#11718445	C₂²	1	1	yes	characteristic, complemented
156	#11718442	C₂²	1	1	yes	characteristic, complemented
157	#11718439	C₂²	1	1	yes	characteristic, complemented
158	#11718438	C₂²	1	1	yes	characteristic, complemented
159	#11718436	C₂²	1	1	yes	characteristic, complemented
160	#11718436	C₂²	1	1	yes	characteristic, complemented
161	#11718436	C₂²	1	1	yes	characteristic, complemented
162	#11718435	C₂²	1	1	yes	characteristic, complemented
163	#11718435	C₂²	1	1	yes	characteristic, complemented
164	#11718434	C₂²	1	1	yes	characteristic, complemented
165	#11718434	C₂²	1	1	yes	characteristic, complemented
166	#11718434	C₂²	1	1	yes	characteristic, complemented
167	#11718433	C₂²	1	1	yes	characteristic, complemented
168	#11718433	C₂²	1	1	yes	characteristic, complemented
169	#11718433	C₂²	1	1	yes	characteristic, complemented
170	#11718432	C₂²	1	1	yes	characteristic, complemented
171	#11718432	C₂²	1	1	yes	characteristic, complemented
172	#11718431	C₂²	1	1	yes	characteristic
173	#11718431	C₂²	1	1	yes	characteristic
174	#11718431	C₂²	1	1	yes	characteristic, complemented
175	#11718431	C₂²	1	1	yes	characteristic, complemented
176	#11718431	C₂²	1	1	yes	characteristic, complemented
177	#11718431	C₂²	1	1	yes	characteristic, complemented
178	D₁₃×#102	C₂²	1	1	yes	characteristic
179	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
180	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
181	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
182	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
183	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
184	D₁₃×#102	C₂²	1	1	yes	characteristic, complemented
185	#11718429	C₂²	1	1	yes	characteristic, complemented
186	#11718426	C₂²	1	1	yes	characteristic, complemented
187	#11718425	C₂²	1	1	yes	characteristic, complemented
188	#11718424	C₂²	1	1	yes	characteristic, complemented
189	#11718421	C₂²	1	1	yes	characteristic, complemented
190	#11718420	C₂²	1	1	yes	characteristic, complemented
191	#11718397	C₂²	1	1	yes	characteristic, complemented
192	#11718395	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic, complemented
194	#11718390	C₂²	1	1	yes	characteristic, complemented
195	#11718388	C₂²	1	1	yes	characteristic, complemented
196	#11718386	C₂²	1	1	yes	characteristic, complemented
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#11718384	C₂²	1	1	yes	characteristic, complemented
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
201	#11718350	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
203	C₂⁴×D₁₃	—	2	1	no	—
204	C₂²×D₄×C₁₃	—	2	1	no	—
205	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
206	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₂²⋊D₁₃	—	2	1	no	—
208	C₂²×C₂²⋊D₁₃	—	2	1	no	—
209	C₂²×C₂²⋊D₁₃	—	2	1	no	—
210	C₂²×C₂²⋊D₁₃	—	2	1	no	—
211	C₂×#6131	—	2	1	no	—
212	#88251	—	2	4	no	—
213	#88251	—	4	2	no	—
214	C₂×#6129	—	2	1	no	—
215	C₂×#6129	—	2	1	no	—
216	C₂×#6129	C₂³	1	1	yes	characteristic
217	C₂×#6129	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₁₃	—	2	4	no	—
219	C₂×D₄×D₁₃	—	2	1	no	—
220	C₂×D₄×D₁₃	—	2	1	no	—
221	C₂×D₄×D₁₃	—	2	1	no	—
222	C₂×D₄×D₁₃	—	2	1	no	—
223	C₂×D₄×D₁₃	—	2	1	no	—
224	C₂×D₄×D₁₃	—	2	1	no	—
225	C₂×D₄×D₁₃	—	4	2	no	—
226	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
228	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
229	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
230	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
231	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂×#6127	C₂³	1	1	yes	characteristic
233	C₂×#6127	C₂³	1	1	yes	characteristic
234	C₂²×D₅₂	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
237	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic, complemented
239	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₃×M₁₆	C₂³	1	1	yes	characteristic, complemented
241	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
242	C₁₃×#127	C₂³	1	1	yes	characteristic
243	C₁₃×#124	—	2	1	no	—
244	C₁₃×#124	—	2	1	no	—
245	C₁₃×#121	—	2	1	no	—
246	C₁₃×#121	—	2	1	no	—
247	C₁₃×#121	C₂³	1	1	yes	characteristic
248	C₁₃×#121	C₂³	1	1	yes	characteristic
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
251	C₁₃×#120	—	2	1	no	—
252	C₁₃×#120	—	2	1	no	—
253	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
256	C₁₃×#117	—	2	1	no	—
257	C₁₃×#117	C₂³	1	1	yes	characteristic
258	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
259	#88207	—	2	1	no	—
260	#88207	—	2	1	no	—
261	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
262	#88200	—	2	1	no	—
263	#88200	—	2	1	no	—
264	#88198	—	2	1	no	—
265	#88194	—	2	1	no	—
266	#88194	—	2	1	no	—
267	#88194	C₂³	1	1	yes	characteristic
268	#88193	—	2	1	no	—
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88193	—	2	1	no	—
272	#88193	—	2	1	no	—
273	#88193	—	2	1	no	—
274	#88193	D₄	1	1	yes	characteristic
275	#88192	—	2	1	no	—
276	#88192	—	2	1	no	—
277	#88192	—	2	1	no	—
278	#88192	C₂³	1	1	yes	characteristic
279	#88192	C₂³	1	1	yes	characteristic
280	#88192	C₂³	1	1	yes	characteristic
281	#88192	C₂³	1	1	yes	characteristic, complemented
282	#88191	—	2	1	no	—
283	#88191	—	2	1	no	—
284	#88191	—	2	1	no	—
285	#88191	—	2	1	no	—
286	#88191	—	2	1	no	—
287	#88191	—	2	1	no	—
288	#88191	—	2	1	no	—
289	#88191	—	2	1	no	—
290	#88191	—	2	1	no	—
291	#88191	—	2	1	no	—
292	#88191	—	2	1	no	—
293	#88191	D₄	1	1	yes	characteristic
294	#88190	C₂³	1	1	yes	characteristic
295	#88189	—	2	1	no	—
296	#88189	—	2	1	no	—
297	#88189	—	2	1	no	—
298	D₄×Dic₁₃	—	2	1	no	—
299	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	D₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
301	C₂×#6105	C₂³	1	1	yes	characteristic, complemented
302	C₂×#6104	C₂³	1	1	yes	characteristic
303	C₂×#6104	C₂³	1	1	yes	characteristic
304	C₂×#6104	C₂³	1	1	yes	characteristic
305	C₂×#6104	C₂³	1	1	yes	characteristic
306	C₂×#6104	C₂³	1	1	yes	characteristic, complemented
307	#88184	—	2	1	no	—
308	#88184	C₂³	1	1	yes	characteristic
309	#88184	C₂³	1	1	yes	characteristic
310	#88184	C₂³	1	1	yes	characteristic, complemented
311	#88183	—	2	1	no	—
312	C₄×C₂²⋊D₁₃	—	2	1	no	—
313	C₄×C₂²⋊D₁₃	—	2	1	no	—
314	C₄×C₂²⋊D₁₃	—	2	1	no	—
315	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
316	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
317	C₂×#6103	—	2	1	no	—
318	C₂×#6103	—	2	1	no	—
319	C₂×#6103	—	2	1	no	—
320	#88180	C₂³	1	1	yes	characteristic
321	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic, complemented
322	#88178	C₂³	1	1	yes	characteristic
323	C₂×#6099	C₂³	1	1	yes	characteristic
324	C₂²×#1055	C₂³	1	1	yes	characteristic, complemented
325	#88165	—	4	2	no	—
326	D₈×D₁₃	—	2	4	no	—
327	D₈×D₁₃	—	4	2	no	—
328	#88161	—	4	2	no	—
329	M₁₆×D₁₃	—	4	2	no	—
330	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
331	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
332	C₂×#6095	C₂³	1	1	yes	characteristic, complemented
333	C₂×#6094	C₂³	1	1	yes	characteristic
334	C₂×#6094	C₂³	1	1	yes	characteristic
335	C₂×#6094	C₂³	1	1	yes	characteristic, complemented
336	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
337	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
338	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
339	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
340	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
341	#88152	—	2	1	no	—
342	#88151	C₂³	1	1	yes	characteristic
343	#88150	—	2	1	no	—
344	#88150	D₄	1	1	yes	characteristic
345	#88149	C₂³	1	1	yes	characteristic
346	#88149	C₂³	1	1	yes	characteristic
347	#88149	C₂³	1	1	yes	characteristic, complemented
348	#88148	—	2	1	no	—
349	#88148	—	2	1	no	—
350	#88148	—	2	1	no	—
351	#88148	D₄	1	1	yes	characteristic
352	#88147	C₂³	1	1	yes	characteristic
353	#88147	C₂³	1	1	yes	characteristic, complemented
354	#88146	C₂³	1	1	yes	characteristic
355	#88146	C₂³	1	1	yes	characteristic
356	#88146	C₂³	1	1	yes	characteristic
357	#88146	C₂³	1	1	yes	characteristic, complemented
358	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
359	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
360	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
361	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic, complemented
362	#88144	C₂³	1	1	yes	characteristic, complemented
363	#88143	—	2	1	no	—
364	#88142	C₂³	1	1	yes	characteristic, complemented
365	#88140	—	2	1	no	—
366	#88139	—	2	1	no	—
367	#88139	—	2	1	no	—
368	#88139	—	2	1	no	—
369	#88138	—	2	1	no	—
370	#88138	—	2	1	no	—
371	#88138	—	2	1	no	—
372	#88138	—	2	1	no	—
373	#88138	—	2	1	no	—
374	#88138	—	2	1	no	—
375	#88138	D₄	1	1	yes	characteristic
376	#88137	—	2	1	no	—
377	#88137	—	2	1	no	—
378	#88137	—	2	1	no	—
379	#88137	—	2	1	no	—
380	#88137	—	2	1	no	—
381	#88137	D₄	1	1	yes	characteristic
382	#88136	—	2	1	no	—
383	#88136	—	2	1	no	—
384	#88136	—	2	1	no	—
385	#88136	—	2	1	no	—
386	#88136	D₄	1	1	yes	characteristic
387	#88135	—	2	1	no	—
388	#88135	—	2	1	no	—
389	#88135	—	2	1	no	—
390	#88135	—	2	1	no	—
391	#88135	—	2	1	no	—
392	#88135	—	2	1	no	—
393	#88135	—	2	1	no	—
394	C₂²⋊C₄×D₁₃	—	2	1	no	—
395	C₂²⋊C₄×D₁₃	—	2	1	no	—
396	C₂²⋊C₄×D₁₃	—	2	1	no	—
397	C₂²⋊C₄×D₁₃	—	2	1	no	—
398	C₂²⋊C₄×D₁₃	—	2	1	no	—
399	C₂²⋊C₄×D₁₃	—	2	1	no	—
400	#88133	—	2	1	no	—
401	#88133	—	2	1	no	—
402	#88132	—	2	1	no	—
403	#88132	D₄	1	1	yes	characteristic
404	#88131	—	2	1	no	—
405	#88130	—	2	1	no	—
406	#88129	—	2	1	no	—
407	#88129	C₂³	1	1	yes	characteristic
408	C₄×D₅₂	—	2	1	no	—
409	C₄×D₅₂	—	2	1	no	—
410	C₄×D₅₂	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	C₂³	1	1	yes	characteristic
412	C₄×D₅₂	C₂³	1	1	yes	characteristic, complemented
413	#88126	—	2	1	no	—
414	#88126	—	2	1	no	—
415	#88126	C₂³	1	1	yes	characteristic
416	C₄²×D₁₃	—	2	1	no	—
417	#88124	C₂³	1	1	yes	characteristic, complemented
418	C₄×Dic₂₆	—	2	1	no	—
419	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
420	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
421	C₁₃×#106	C₂³	1	1	yes	characteristic, complemented
422	C₁₃×C₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
423	C₁₃×#102	C₂³	1	1	yes	characteristic
424	C₁₃×#102	C₂³	1	1	yes	characteristic
425	C₁₃×#102	C₂³	1	1	yes	characteristic
426	C₁₃×#102	C₂³	1	1	yes	characteristic
427	C₁₃×#102	C₂³	1	1	yes	characteristic
428	C₁₃×#102	C₂³	1	1	yes	characteristic
429	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
430	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
431	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
432	C₁₃×#102	C₂³	1	1	yes	characteristic, complemented
433	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic, complemented
435	C₄×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
436	#88072	C₂³	1	1	yes	characteristic
437	#88072	C₂³	1	1	yes	characteristic
438	#88072	C₂³	1	1	yes	characteristic
439	#88072	C₂³	1	1	yes	characteristic
440	#88072	C₂³	1	1	yes	characteristic
441	#88072	C₂³	1	1	yes	characteristic
442	#88072	C₂³	1	1	yes	characteristic, complemented
443	#88072	C₂³	1	1	yes	characteristic, complemented
444	#88072	C₂³	1	1	yes	characteristic, complemented
445	#88072	C₂³	1	1	yes	characteristic, complemented
446	C₂²⋊#1055	C₂³	1	1	yes	characteristic
447	C₂²⋊#1055	C₂³	1	1	yes	characteristic, complemented
448	#88061	C₂³	1	1	yes	characteristic
449	#88061	C₂³	1	1	yes	characteristic
450	#88061	C₂³	1	1	yes	characteristic
451	#88061	C₂³	1	1	yes	characteristic
452	#88061	C₂³	1	1	yes	characteristic
453	#88061	C₂³	1	1	yes	characteristic
454	#88061	C₂³	1	1	yes	characteristic, complemented
455	#88060	C₂³	1	1	yes	characteristic
456	#88060	C₂³	1	1	yes	characteristic
457	#88060	C₂³	1	1	yes	characteristic, complemented
458	#88060	C₂³	1	1	yes	characteristic, complemented
459	#88058	C₂³	1	1	yes	characteristic, complemented
460	#88058	C₂³	1	1	yes	characteristic, complemented
461	#88057	C₂³	1	1	yes	characteristic, complemented
462	#88056	C₂³	1	1	yes	characteristic, complemented
463	#88056	C₂³	1	1	yes	characteristic, complemented
464	#88056	C₂³	1	1	yes	characteristic, complemented
465	#88055	C₂³	1	1	yes	characteristic, complemented
466	#88054	C₂³	1	1	yes	characteristic, complemented
467	#88054	C₂³	1	1	yes	characteristic, complemented
468	C₈×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
469	#88050	C₂³	1	1	yes	characteristic, complemented
470	#88050	C₂³	1	1	yes	characteristic, complemented
471	#88050	C₂³	1	1	yes	characteristic, complemented
472	#88049	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88049	C₂³	1	1	yes	characteristic
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, complemented
479	#88048	C₂³	1	1	yes	characteristic, complemented
480	#88048	C₂³	1	1	yes	characteristic, complemented
481	#88048	C₂³	1	1	yes	characteristic, complemented
482	#88047	C₂³	1	1	yes	characteristic, complemented
483	#88047	C₂³	1	1	yes	characteristic, complemented
484	#88047	C₂³	1	1	yes	characteristic, complemented
485	C₄⋊#1055	C₂³	1	1	yes	characteristic, complemented
486	#88043	C₂³	1	1	yes	characteristic, complemented
487	#61183	—	13	1	no	maximal, Sylow
488	C₂⁴×C₁₃	—	2	1	no	—
489	C₂⁴×C₁₃	—	2	1	no	—
490	C₂³×D₁₃	—	2	1	no	—
491	C₂³×D₁₃	—	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	—	4	4	no	—
498	C₂³×D₁₃	—	8	2	no	—
499	C₂³×D₁₃	—	8	2	no	—
500	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
501	C₂×Q₈×C₁₃	—	2	1	no	—
502	C₂×D₄×C₁₃	—	2	2	no	—
503	C₂×D₄×C₁₃	—	2	2	no	—
504	C₂×D₄×C₁₃	—	2	1	no	—
505	C₂×D₄×C₁₃	—	2	1	no	—
506	C₂×D₄×C₁₃	—	2	1	no	—
507	C₂×D₄×C₁₃	—	2	1	no	—
508	C₂×D₄×C₁₃	—	2	1	no	—
509	C₂×D₄×C₁₃	—	2	1	no	—
510	C₂×D₄×C₁₃	—	2	1	no	—
511	C₂×D₄×C₁₃	—	2	1	no	—
512	C₂×D₄×C₁₃	—	4	1	no	—
513	C₂×D₄×C₁₃	—	4	1	no	—
514	C₂×D₄×C₁₃	—	8	2	no	—
515	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
516	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
517	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
518	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₁₃	—	2	1	no	—
521	C₂²×C₄×C₁₃	—	2	1	no	—
522	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
534	C₂×C₂²⋊D₁₃	—	2	1	no	—
535	C₂×C₂²⋊D₁₃	—	2	1	no	—
536	C₂×C₂²⋊D₁₃	—	2	1	no	—
537	C₂×C₂²⋊D₁₃	—	2	1	no	—
538	C₂×C₂²⋊D₁₃	—	2	1	no	—
539	C₂×C₂²⋊D₁₃	—	2	1	no	—
540	C₂×C₂²⋊D₁₃	—	2	1	no	—
541	C₂×C₂²⋊D₁₃	—	2	1	no	—
542	C₂×C₂²⋊D₁₃	—	4	4	no	—
543	C₂×C₂²⋊D₁₃	—	4	4	no	—
544	C₂×C₂²⋊D₁₃	—	4	4	no	—
545	C₂×C₂²⋊D₁₃	—	8	2	no	—
546	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
547	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
548	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
549	C₂×C₂²⋊D₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂²×Dic₁₃	—	2	1	no	—
551	C₂²×Dic₁₃	—	2	1	no	—
552	C₂²×Dic₁₃	—	2	1	no	—
553	C₂²×Dic₁₃	—	2	1	no	—
554	C₂²×Dic₁₃	—	2	1	no	—
555	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
556	#6131	—	8	2	no	—
557	#6129	—	2	2	no	—
558	#6129	—	2	2	no	—
559	#6129	—	2	2	no	—
560	#6129	—	4	1	no	—
561	#6129	—	4	4	no	—
562	#6129	—	8	2	no	—
563	D₄×D₁₃	—	2	2	no	—
564	D₄×D₁₃	—	2	2	no	—
565	D₄×D₁₃	—	2	2	no	—
566	D₄×D₁₃	—	2	2	no	—
567	D₄×D₁₃	—	2	2	no	—
568	D₄×D₁₃	—	2	2	no	—
569	D₄×D₁₃	—	2	2	no	—
570	D₄×D₁₃	—	2	2	no	—
571	D₄×D₁₃	—	4	1	no	—
572	D₄×D₁₃	—	4	1	no	—
573	D₄×D₁₃	—	4	1	no	—
574	D₄×D₁₃	—	4	4	no	—
575	D₄×D₁₃	—	4	4	no	—
576	D₄×D₁₃	—	4	4	no	—
577	D₄×D₁₃	—	8	2	no	—
578	D₄×D₁₃	—	8	2	no	—
579	D₄×D₁₃	—	8	2	no	—
580	D₄×D₁₃	#41	1	4	yes	complemented
581	#6127	—	2	2	no	—
582	#6127	—	2	2	no	—
583	#6127	—	2	2	no	—
584	#6127	—	4	1	no	—
585	C₂×D₅₂	—	2	2	no	—
586	C₂×D₅₂	—	2	1	no	—
587	C₂×D₅₂	—	2	1	no	—
588	C₂×D₅₂	—	2	1	no	—
589	C₂×D₅₂	—	2	1	no	—
590	C₂×D₅₂	—	4	1	no	—
591	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
592	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
593	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
594	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
595	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
596	C₂×C₄×D₁₃	—	2	2	no	—
597	C₂×C₄×D₁₃	—	2	2	no	—
598	C₂×C₄×D₁₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
608	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
609	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
612	C₂×Dic₂₆	—	2	1	no	—
613	C₂×Dic₂₆	C₂×D₄	1	1	yes	characteristic
614	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
615	C₁₃×D₈	—	2	2	no	—
616	C₁₃×D₈	—	4	1	no	—
617	C₁₃×D₈	—	4	1	no	—
618	C₁₃×M₁₆	—	4	1	no	—
619	C₁₃×M₁₆	—	4	1	no	—
620	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
621	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
622	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
623	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
624	C₁₃×C₄⋊C₄	—	2	1	no	—
625	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
629	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
630	C₁₃×C₂²⋊C₄	—	2	1	no	—
631	C₁₃×C₂²⋊C₄	—	2	1	no	—
632	C₁₃×C₂²⋊C₄	—	2	1	no	—
633	C₁₃×C₂²⋊C₄	—	2	1	no	—
634	C₁₃×C₂²⋊C₄	—	2	1	no	—
635	C₁₃×C₂²⋊C₄	—	2	1	no	—
636	C₁₃×C₂²⋊C₄	—	2	1	no	—
637	C₁₃×C₂²⋊C₄	—	2	1	no	—
638	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₄²×C₁₃	—	2	1	no	—
641	C₄²×C₁₃	—	2	1	no	—
642	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
643	C₂²⋊Dic₁₃	—	2	1	no	—
644	C₂²⋊Dic₁₃	—	2	1	no	—
645	C₂²⋊Dic₁₃	—	2	1	no	—
646	C₂²⋊Dic₁₃	—	2	1	no	—
647	C₂²⋊Dic₁₃	—	2	1	no	—
648	C₂²⋊Dic₁₃	—	2	1	no	—
649	C₂²⋊Dic₁₃	—	2	1	no	—
650	C₂²⋊Dic₁₃	—	2	1	no	—
651	C₂²⋊Dic₁₃	—	2	1	no	—
652	C₂²⋊Dic₁₃	—	2	1	no	—
653	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
654	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
655	#6105	—	4	1	no	—
656	#6104	—	2	2	no	—
657	#6104	—	2	2	no	—
658	#6104	—	4	1	no	—
659	#6104	—	4	1	no	—
660	#6104	—	4	1	no	—
661	#6103	—	2	1	no	—
662	#6103	—	2	1	no	—
663	#6103	—	2	1	no	—
664	#6103	—	2	1	no	—
665	#6103	—	2	1	no	—
666	#6103	—	2	1	no	—
667	#6103	—	2	1	no	—
668	#6103	—	2	1	no	—
669	#6103	—	2	1	no	—
670	#6103	—	2	1	no	—
671	#6103	—	2	1	no	—
672	#6103	—	2	1	no	—
673	#6103	—	2	1	no	—
674	#6103	—	2	1	no	—
675	#6103	—	2	1	no	—
676	#6103	—	2	1	no	—
677	#6103	—	2	1	no	—
678	#6103	C₂×D₄	1	1	yes	characteristic
679	#6103	C₂×D₄	1	1	yes	characteristic
680	#6103	C₂×D₄	1	1	yes	characteristic
681	#6103	C₂×D₄	1	1	yes	characteristic
682	#6103	C₂×D₄	1	1	yes	characteristic
683	#6103	C₂×D₄	1	1	yes	characteristic
684	C₄⋊Dic₁₃	—	2	1	no	—
685	C₄⋊Dic₁₃	—	2	1	no	—
686	C₄⋊Dic₁₃	—	2	1	no	—
687	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
688	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
689	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
690	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
692	#6101	—	2	1	no	—
693	#6101	—	2	1	no	—
694	#6101	—	2	1	no	—
695	#6101	—	2	1	no	—
696	#6101	—	2	1	no	—
697	#6101	—	2	1	no	—
698	#6101	—	2	1	no	—
699	#6101	—	2	1	no	—
700	#6101	—	2	1	no	—
701	#6101	C₂×D₄	1	1	yes	characteristic
702	#6101	C₂×D₄	1	1	yes	characteristic
703	#6101	C₂×D₄	1	1	yes	characteristic
704	#6101	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₁₃	—	2	1	no	—
706	C₄×Dic₁₃	—	2	1	no	—
707	C₄×Dic₁₃	—	2	1	no	—
708	C₄×Dic₁₃	—	2	1	no	—
709	C₄×Dic₁₃	—	2	1	no	—
710	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
711	#6099	—	4	1	no	—
712	C₂×#1055	—	4	1	no	—
713	C₂×#1055	C₂⁴	1	1	yes	characteristic
714	C₂×#1055	C₂⁴	1	1	yes	characteristic
715	C₂×#1055	C₂⁴	1	1	yes	characteristic
716	C₂×#1055	C₂⁴	1	1	yes	characteristic
717	D₁₀₄	—	2	2	no	—
718	D₁₀₄	—	4	1	no	—
719	#6095	—	4	1	no	—
720	#6094	—	2	2	no	—
721	#6094	—	2	2	no	—
722	#6094	—	4	1	no	—
723	C₈×D₁₃	—	2	2	no	—
724	C₈×D₁₃	—	2	2	no	—
725	C₈×D₁₃	—	4	1	no	—
726	C₈×D₁₃	—	4	1	no	—
727	C₈×D₁₃	—	4	1	no	—
728	#3494	—	13	1	no	—
729	#3484	—	13	1	no	—
730	#3325	—	13	1	no	—
731	#3325	D₁₃	1	1	yes	characteristic, complemented
732	#3322	—	13	1	no	—
733	#3322	—	13	1	no	—
734	#3319	—	13	1	no	—
735	#3319	—	13	1	no	—
736	#3318	—	13	1	no	—
737	#3318	—	13	1	no	—
738	#3318	—	13	1	no	—
739	#3318	—	13	1	no	—
740	#3306	—	13	1	no	—
741	#3306	—	13	1	no	—
742	#3297	—	13	1	no	—
743	#3297	—	13	1	no	—
744	#3294	—	13	1	no	—
745	#3294	—	13	1	no	—
746	#3136	—	13	1	no	—
747	#3096	—	13	1	no	—
748	#3091	—	13	1	no	—
749	#3081	—	13	1	no	—
750	#3058	—	13	1	no	—
751	#3055	—	13	1	no	—
752	#3041	—	13	1	no	—
753	#3008	—	13	1	no	—
754	C₂×#447	—	13	1	no	—
755	#2948	—	13	1	no	—
756	#2933	—	13	1	no	—
757	#2897	—	13	1	no	—
758	C₂×#418	—	13	1	no	—
759	C₂³×C₁₃	—	2	1	no	—
760	C₂³×C₁₃	—	2	1	no	—
761	C₂³×C₁₃	—	2	1	no	—
762	C₂³×C₁₃	—	2	1	no	—
763	C₂³×C₁₃	—	4	2	no	—
764	C₂³×C₁₃	—	4	2	no	—
765	C₂³×C₁₃	—	4	2	no	—
766	C₂³×C₁₃	—	8	1	no	—
767	C₂³×C₁₃	—	8	1	no	—
768	C₂³×C₁₃	—	8	1	no	—
769	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
770	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
771	C₂²×D₁₃	—	2	1	no	—
772	C₂²×D₁₃	—	2	2	no	—
773	C₂²×D₁₃	—	2	2	no	—
774	C₂²×D₁₃	—	2	4	no	—
775	C₂²×D₁₃	—	2	1	no	—
776	C₂²×D₁₃	—	2	1	no	—
777	C₂²×D₁₃	—	4	1	no	—
778	C₂²×D₁₃	—	4	2	no	—
779	C₂²×D₁₃	—	4	2	no	—
780	C₂²×D₁₃	—	4	2	no	—
781	C₂²×D₁₃	—	4	2	no	—
782	C₂²×D₁₃	—	4	2	no	—
783	C₂²×D₁₃	—	4	2	no	—
784	C₂²×D₁₃	—	4	2	no	—
785	C₂²×D₁₃	—	4	2	no	—
786	C₂²×D₁₃	—	4	2	no	—
787	C₂²×D₁₃	—	8	1	no	—
788	C₂²×D₁₃	—	8	1	no	—
789	C₂²×D₁₃	—	8	1	no	—
790	C₂²×D₁₃	—	8	1	no	—
791	C₂²×D₁₃	—	8	1	no	—
792	C₂²×D₁₃	—	8	1	no	—
793	C₂²×D₁₃	—	8	1	no	—
794	C₂²×D₁₃	—	8	1	no	—
795	C₂²×D₁₃	—	8	1	no	—
796	C₂²×D₁₃	—	8	1	no	—
797	C₂²×D₁₃	—	8	1	no	—
798	C₂²×D₁₃	—	8	16	no	—
799	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
800	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
801	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
802	Q₈×C₁₃	—	8	1	no	—
803	D₄×C₁₃	—	2	1	no	—
804	D₄×C₁₃	—	2	1	no	—
805	D₄×C₁₃	—	2	1	no	—
806	D₄×C₁₃	—	2	1	no	—
807	D₄×C₁₃	—	2	1	no	—
808	D₄×C₁₃	—	2	1	no	—
809	D₄×C₁₃	—	2	1	no	—
810	D₄×C₁₃	—	4	1	no	—
811	D₄×C₁₃	—	4	2	no	—
812	D₄×C₁₃	—	4	2	no	—
813	D₄×C₁₃	—	4	2	no	—
814	D₄×C₁₃	—	8	1	no	—
815	D₄×C₁₃	—	8	1	no	—
816	D₄×C₁₃	—	8	1	no	—
817	D₄×C₁₃	—	8	1	no	—
818	D₄×C₁₃	—	8	1	no	—
819	D₄×C₁₃	C₂×#41	1	2	yes	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	2	1	no	—
822	C₂×C₄×C₁₃	—	2	1	no	—
823	C₂×C₄×C₁₃	—	2	1	no	—
824	C₂×C₄×C₁₃	—	2	1	no	—
825	C₂×C₄×C₁₃	—	2	1	no	—
826	C₂×C₄×C₁₃	—	2	1	no	—
827	C₂×C₄×C₁₃	—	2	1	no	—
828	C₂×C₄×C₁₃	—	8	1	no	—
829	C₂×C₄×C₁₃	—	8	1	no	—
830	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
831	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
832	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
833	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
834	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
835	C₂²⋊D₁₃	—	2	2	no	—
836	C₂²⋊D₁₃	—	2	2	no	—
837	C₂²⋊D₁₃	—	2	2	no	—
838	C₂²⋊D₁₃	—	2	4	no	—
839	C₂²⋊D₁₃	—	4	1	no	—
840	C₂²⋊D₁₃	—	4	2	no	—
841	C₂²⋊D₁₃	—	4	2	no	—
842	C₂²⋊D₁₃	—	4	2	no	—
843	C₂²⋊D₁₃	—	4	2	no	—
844	C₂²⋊D₁₃	—	4	2	no	—
845	C₂²⋊D₁₃	—	4	2	no	—
846	C₂²⋊D₁₃	—	4	2	no	—
847	C₂²⋊D₁₃	—	4	2	no	—
848	C₂²⋊D₁₃	—	4	2	no	—
849	C₂²⋊D₁₃	—	4	2	no	—
850	C₂²⋊D₁₃	—	8	1	no	—
851	C₂²⋊D₁₃	—	8	1	no	—
852	C₂²⋊D₁₃	—	8	1	no	—
853	C₂²⋊D₁₃	—	8	1	no	—
854	C₂²⋊D₁₃	—	8	1	no	—
855	C₂²⋊D₁₃	—	8	1	no	—
856	C₂²⋊D₁₃	—	8	1	no	—
857	C₂×Dic₁₃	—	2	2	no	—
858	C₂×Dic₁₃	—	2	1	no	—
859	C₂×Dic₁₃	—	2	1	no	—
860	C₂×Dic₁₃	—	2	1	no	—
861	C₂×Dic₁₃	—	2	1	no	—
862	C₂×Dic₁₃	—	2	1	no	—
863	C₂×Dic₁₃	—	4	2	no	—
864	C₂×Dic₁₃	—	4	2	no	—
865	C₂×Dic₁₃	—	8	1	no	—
866	C₂×Dic₁₃	—	8	1	no	—
867	C₂×Dic₁₃	—	8	1	no	—
868	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
869	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
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	D₅₂	—	2	2	no	—
874	D₅₂	—	2	2	no	—
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	—	4	2	no	—
881	D₅₂	—	4	2	no	—
882	D₅₂	—	8	1	no	—
883	D₅₂	—	8	1	no	—
884	D₅₂	C₂×#41	1	2	yes	—
885	C₄×D₁₃	—	2	2	no	—
886	C₄×D₁₃	—	2	1	no	—
887	C₄×D₁₃	—	2	1	no	—
888	C₄×D₁₃	—	2	1	no	—
889	C₄×D₁₃	—	2	1	no	—
890	C₄×D₁₃	—	2	2	no	—
891	C₄×D₁₃	—	4	2	no	—
892	C₄×D₁₃	—	4	2	no	—
893	C₄×D₁₃	—	8	1	no	—
894	C₄×D₁₃	—	8	1	no	—
895	C₄×D₁₃	—	8	1	no	—
896	C₄×D₁₃	—	8	1	no	—
897	C₄×D₁₃	—	8	1	no	—
898	C₄×D₁₃	—	8	1	no	—
899	C₄×D₁₃	—	8	1	no	—
900	C₄×D₁₃	C₂×#41	1	2	yes	—
901	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
902	Dic₂₆	—	2	2	no	—
903	Dic₂₆	—	2	1	no	—
904	Dic₂₆	—	2	1	no	—
905	Dic₂₆	—	8	1	no	—
906	C₈×C₁₃	—	2	1	no	—
907	C₈×C₁₃	—	2	1	no	—
908	C₈×C₁₃	—	2	1	no	—
909	C₈×C₁₃	—	2	1	no	—
910	#1055	—	2	1	no	—
911	#1055	—	2	1	no	—
912	#1055	—	2	1	no	—
913	#1055	—	2	1	no	—
914	C₂×H(5,𝔽₂)	—	13	1	no	—
915	C₂³×D₄	—	13	1	no	—
916	C₂×AGL(1,ℤ/8)	—	13	1	no	—
917	C₂²×D₈	—	13	1	no	—
918	C₂²×D₈	—	13	1	no	—
919	C₂×#131	—	13	1	no	—
920	C₂²×M₁₆	—	13	1	no	—
921	#555	—	13	1	no	—
922	#555	C₂×D₁₃	1	1	yes	characteristic, complemented
923	#553	—	13	1	no	—
924	#553	—	13	1	no	—
925	#553	—	13	1	no	—
926	#553	—	13	1	no	—
927	#551	—	26	1	no	—
928	#551	—	26	1	no	—
929	#547	—	13	1	no	—
930	#547	—	13	1	no	—
931	#546	—	13	1	no	—
932	#546	—	13	1	no	—
933	#546	—	13	1	no	—
934	#546	—	13	1	no	—
935	#546	—	26	1	no	—
936	#546	—	26	1	no	—
937	#546	—	26	1	no	—
938	#546	—	26	1	no	—
939	D₄²	—	13	1	no	—
940	D₄²	—	13	1	no	—
941	D₄²	—	13	1	no	—
942	D₄²	—	26	1	no	—
943	D₄²	—	26	1	no	—
944	D₄²	C₂×D₁₃	1	1	yes	characteristic, complemented
945	#544	—	13	1	no	—
946	#542	—	26	1	no	—
947	#540	—	26	1	no	—
948	#535	—	13	1	no	—
949	#535	—	13	1	no	—
950	#535	—	13	1	no	—
951	#534	—	26	1	no	—
952	#534	—	26	1	no	—
953	#532	—	26	1	no	—
954	#529	—	26	1	no	—
955	#525	—	13	1	no	—
956	#525	—	13	1	no	—
957	C₂×#121	—	13	1	no	—
958	C₂×#120	—	26	1	no	—
959	C₂×#120	—	26	1	no	—
960	#520	—	13	1	no	—
961	#518	—	13	1	no	—
962	#518	—	13	1	no	—
963	C₂×#117	—	13	1	no	—
964	#490	—	13	1	no	—
965	#490	—	13	1	no	—
966	#489	—	13	1	no	—
967	#489	—	13	1	no	—
968	#488	—	13	1	no	—
969	#488	—	13	1	no	—
970	#486	—	13	1	no	—
971	#486	C₂×D₁₃	1	1	yes	characteristic, complemented
972	#485	—	13	1	no	—
973	#485	—	13	1	no	—
974	#484	—	13	1	no	—
975	#483	—	13	1	no	—
976	#482	—	13	1	no	—
977	#482	—	13	1	no	—
978	#482	—	13	1	no	—
979	#482	—	13	1	no	—
980	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
981	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
982	#481	—	13	1	no	—
983	#481	—	13	1	no	—
984	#481	—	13	1	no	—
985	#480	—	13	1	no	—
986	#480	—	13	1	no	—
987	#480	—	13	1	no	—
988	#478	—	13	1	no	—
989	#478	—	13	1	no	—
990	#478	—	13	1	no	—
991	#478	—	13	1	no	—
992	#476	—	13	1	no	—
993	#476	C₂×D₁₃	1	1	yes	characteristic, complemented
994	#474	—	13	1	no	—
995	#474	—	13	1	no	—
996	#469	—	13	1	no	—
997	#469	—	13	1	no	—
998	#469	—	13	1	no	—
999	#469	—	13	1	no	—
1000	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
1001	#469	C₂×D₁₃	1	1	yes	characteristic, complemented
1002	#468	—	13	1	no	—
1003	#468	—	13	1	no	—
1004	#466	—	13	1	no	—
1005	#466	—	13	1	no	—
1006	#466	—	13	1	no	—
1007	#466	—	13	1	no	—
1008	#466	—	13	1	no	—
1009	#466	—	13	1	no	—
1010	#465	—	13	1	no	—
1011	#465	—	13	1	no	—
1012	#463	—	13	1	no	—
1013	#463	—	13	1	no	—
1014	#463	—	13	1	no	—
1015	#463	—	13	1	no	—
1016	#459	—	13	1	no	—
1017	#459	—	13	1	no	—
1018	#459	—	13	1	no	—
1019	#459	C₂×D₁₃	1	1	yes	characteristic, complemented
1020	#449	—	13	1	no	—
1021	#449	—	13	1	no	—
1022	#449	—	13	1	no	—
1023	#449	—	13	1	no	—
1024	#447	—	13	1	no	—
1025	#447	—	13	1	no	—
1026	#447	—	13	1	no	—
1027	#447	—	13	1	no	—
1028	#447	—	13	1	no	—
1029	#447	—	13	1	no	—
1030	#447	—	13	1	no	—
1031	#447	—	13	1	no	—
1032	#447	—	13	1	no	—
1033	#447	—	13	1	no	—
1034	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1035	#447	C₂×D₁₃	1	1	yes	characteristic, complemented
1036	#442	—	13	1	no	—
1037	#442	—	13	1	no	—
1038	#442	—	13	1	no	—
1039	#442	—	13	1	no	—
1040	C₄×D₈	—	13	1	no	—
1041	C₄×D₈	—	13	1	no	—
1042	C₄×D₈	—	13	1	no	—
1043	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1044	#436	—	13	1	no	—
1045	#436	C₂×D₁₃	1	1	yes	characteristic, complemented
1046	#435	—	13	1	no	—
1047	#435	—	13	1	no	—
1048	#435	—	13	1	no	—
1049	#435	—	13	1	no	—
1050	C₈×D₄	—	13	1	no	—
1051	C₈×D₄	—	13	1	no	—
1052	#428	—	13	1	no	—
1053	#427	—	13	1	no	—
1054	#427	—	13	1	no	—
1055	#424	—	13	1	no	—
1056	#418	—	13	1	no	—
1057	#418	—	13	1	no	—
1058	#418	—	13	1	no	—
1059	#418	—	13	1	no	—
1060	#418	—	13	1	no	—
1061	#418	—	13	1	no	—
1062	#418	—	13	1	no	—
1063	#418	—	13	1	no	—
1064	#418	—	13	1	no	—
1065	#418	C₂×D₁₃	1	1	yes	characteristic, complemented
1066	#418	C₂×D₁₃	1	1	yes	characteristic, complemented
1067	#417	—	13	1	no	—
1068	#417	—	13	1	no	—
1069	#417	—	13	1	no	—
1070	#416	—	13	1	no	—
1071	#416	—	13	1	no	—
1072	#416	—	13	1	no	—
1073	#416	—	13	1	no	—
1074	C₂×#102	—	13	1	no	—
1075	C₂×#102	—	13	1	no	—
1076	C₂×#102	—	13	1	no	—
1077	C₂×#102	—	13	1	no	—
1078	C₂×#102	—	13	1	no	—
1079	C₂×#102	—	13	1	no	—
1080	C₂×#102	—	13	1	no	—
1081	C₂×#102	—	13	1	no	—
1082	#408	—	13	1	no	—
1083	C₂×C₂²⋊C₈	—	13	1	no	—
1084	#405	—	13	1	no	—
1085	C₂²×C₁₃	—	2	1	no	—
1086	C₂²×C₁₃	—	2	1	no	—
1087	C₂²×C₁₃	—	2	1	no	—
1088	C₂²×C₁₃	—	2	2	no	—
1089	C₂²×C₁₃	—	2	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	2	1	no	—
1092	C₂²×C₁₃	—	4	1	no	—
1093	C₂²×C₁₃	—	4	1	no	—
1094	C₂²×C₁₃	—	4	1	no	—
1095	C₂²×C₁₃	—	4	1	no	—
1096	C₂²×C₁₃	—	4	1	no	—
1097	C₂²×C₁₃	—	4	1	no	—
1098	C₂²×C₁₃	—	4	1	no	—
1099	C₂²×C₁₃	—	4	1	no	—
1100	C₂²×C₁₃	—	4	1	no	—
1101	C₂²×C₁₃	—	4	1	no	—
1102	C₂²×C₁₃	—	4	1	no	—
1103	C₂²×C₁₃	—	8	4	no	—
1104	C₂²×C₁₃	—	16	2	no	—
1105	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1106	C₂×D₁₃	—	2	1	no	—
1107	C₂×D₁₃	—	2	1	no	—
1108	C₂×D₁₃	—	2	1	no	—
1109	C₂×D₁₃	—	2	1	no	—
1110	C₂×D₁₃	—	2	1	no	—
1111	C₂×D₁₃	—	2	1	no	—
1112	C₂×D₁₃	—	2	2	no	—
1113	C₂×D₁₃	—	2	1	no	—
1114	C₂×D₁₃	—	4	4	no	—
1115	C₂×D₁₃	—	4	1	no	—
1116	C₂×D₁₃	—	4	1	no	—
1117	C₂×D₁₃	—	4	1	no	—
1118	C₂×D₁₃	—	4	1	no	—
1119	C₂×D₁₃	—	4	1	no	—
1120	C₂×D₁₃	—	4	1	no	—
1121	C₂×D₁₃	—	4	1	no	—
1122	C₂×D₁₃	—	4	1	no	—
1123	C₂×D₁₃	—	8	4	no	—
1124	C₂×D₁₃	—	8	4	no	—
1125	C₂×D₁₃	—	8	4	no	—
1126	C₂×D₁₃	—	8	4	no	—
1127	C₂×D₁₃	—	8	4	no	—
1128	C₂×D₁₃	—	16	2	no	—
1129	C₂×D₁₃	—	16	2	no	—
1130	C₂×D₁₃	#546	1	2	yes	—
1131	C₂×D₁₃	#576	1	2	yes	—
1132	C₄×C₁₃	—	2	1	no	—
1133	C₄×C₁₃	—	2	1	no	—
1134	C₄×C₁₃	—	2	1	no	—
1135	C₄×C₁₃	—	2	1	no	—
1136	C₄×C₁₃	—	4	1	no	—
1137	C₄×C₁₃	—	4	1	no	—
1138	C₄×C₁₃	—	4	1	no	—
1139	C₄×C₁₃	—	4	1	no	—
1140	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1141	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1142	Dic₁₃	—	2	1	no	—
1143	Dic₁₃	—	2	1	no	—
1144	Dic₁₃	—	2	1	no	—
1145	Dic₁₃	—	2	1	no	—
1146	Dic₁₃	—	4	1	no	—
1147	Dic₁₃	—	4	1	no	—
1148	Dic₁₃	—	4	1	no	—
1149	Dic₁₃	—	4	1	no	—
1150	Dic₁₃	—	4	1	no	—
1151	Dic₁₃	#546	1	2	yes	—
1152	C₂⁵	—	26	1	no	—
1153	H(5,𝔽₂)	—	26	4	no	—
1154	H(5,𝔽₂)	—	52	2	no	—
1155	C₂×#41	—	13	1	no	—
1156	C₂×#41	—	13	1	no	—
1157	C₂×#41	—	13	1	no	—
1158	C₂×#41	—	13	1	no	—
1159	C₂×#41	—	26	1	no	—
1160	C₂×#41	—	26	1	no	—
1161	C₂×#41	—	26	1	no	—
1162	C₂²×D₄	—	2	1	no	—
1163	C₂²×D₄	—	13	1	no	—
1164	C₂²×D₄	—	13	1	no	—
1165	C₂²×D₄	—	13	1	no	—
1166	C₂²×D₄	—	13	1	no	—
1167	C₂²×D₄	—	13	1	no	—
1168	C₂²×D₄	—	13	1	no	—
1169	C₂²×D₄	—	13	1	no	—
1170	C₂²×D₄	—	26	1	no	—
1171	C₂²×D₄	—	26	1	no	—
1172	C₂²×D₄	—	26	1	no	—
1173	C₂²×D₄	—	26	4	no	—
1174	C₂²×D₄	—	26	1	no	—
1175	C₂²×D₄	—	26	1	no	—
1176	C₂²×D₄	—	26	1	no	—
1177	C₂²×D₄	—	26	1	no	—
1178	C₂²×D₄	—	26	1	no	—
1179	C₂²×D₄	—	26	1	no	—
1180	C₂²×D₄	—	26	1	no	—
1181	C₂²×D₄	—	52	2	no	—
1182	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1183	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1184	C₂³×C₄	—	13	1	no	—
1185	AGL(1,ℤ/8)	—	52	2	no	—
1186	C₂×SD₁₆	—	13	1	no	—
1187	C₂×SD₁₆	—	13	1	no	—
1188	C₂×D₈	—	13	1	no	—
1189	C₂×D₈	—	13	1	no	—
1190	C₂×D₈	—	13	1	no	—
1191	C₂×D₈	—	13	1	no	—
1192	C₂×D₈	—	13	1	no	—
1193	C₂×D₈	—	13	1	no	—
1194	C₂×D₈	—	13	1	no	—
1195	C₂×D₈	—	26	4	no	—
1196	C₂×D₈	—	52	2	no	—
1197	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1198	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1199	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1200	#131	—	52	2	no	—
1201	C₂×M₁₆	—	13	1	no	—
1202	C₂×M₁₆	—	13	1	no	—
1203	C₂×M₁₆	—	13	1	no	—
1204	C₂×M₁₆	—	13	1	no	—
1205	C₂×M₁₆	—	52	2	no	—
1206	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic
1207	C₂×M₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1208	C₂²×C₈	—	13	1	no	—
1209	C₂²×C₈	—	13	1	no	—
1210	C₂²×C₈	—	13	1	no	—
1211	C₂²×C₈	—	13	1	no	—
1212	C₂²×C₈	—	13	1	no	—
1213	C₂²×C₈	—	13	1	no	—
1214	C₄⋊Q₈	—	13	1	no	—
1215	C₄⋊Q₈	—	26	1	no	—
1216	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1217	#127	—	13	1	no	—
1218	#127	—	26	1	no	—
1219	#127	—	26	1	no	—
1220	#127	C₂²×D₁₃	1	1	yes	characteristic
1221	#126	—	26	1	no	—
1222	#126	—	26	1	no	—
1223	#126	—	26	1	no	—
1224	#126	—	26	1	no	—
1225	#125	—	13	1	no	—
1226	#125	—	13	1	no	—
1227	#125	—	26	1	no	—
1228	#124	—	2	1	no	—
1229	#124	—	2	1	no	—
1230	#124	—	13	1	no	—
1231	#124	—	13	1	no	—
1232	#124	—	26	1	no	—
1233	#124	—	26	1	no	—
1234	#124	—	26	1	no	—
1235	#124	—	26	1	no	—
1236	#123	—	13	1	no	—
1237	#123	—	13	1	no	—
1238	#123	—	26	1	no	—
1239	#123	—	26	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	#123	—	26	1	no	—
1243	#123	—	26	1	no	—
1244	#123	—	26	1	no	—
1245	#123	—	26	1	no	—
1246	#123	—	26	1	no	—
1247	#123	—	26	1	no	—
1248	#123	—	26	1	no	—
1249	#123	—	26	1	no	—
1250	#123	—	26	1	no	—
1251	C₂²⋊Q₈	—	13	1	no	—
1252	C₂²⋊Q₈	—	13	1	no	—
1253	C₂²⋊Q₈	—	13	1	no	—
1254	C₂²⋊Q₈	—	13	1	no	—
1255	C₂²⋊Q₈	—	26	1	no	—
1256	C₂²⋊Q₈	—	26	1	no	—
1257	C₂²⋊Q₈	—	26	1	no	—
1258	C₂²⋊Q₈	—	26	1	no	—
1259	#121	—	2	1	no	—
1260	#121	—	2	1	no	—
1261	#121	—	13	1	no	—
1262	#121	—	13	1	no	—
1263	#121	—	13	1	no	—
1264	#121	—	13	1	no	—
1265	#121	—	13	1	no	—
1266	#121	—	13	1	no	—
1267	#121	—	13	1	no	—
1268	#121	—	13	1	no	—
1269	#121	—	13	1	no	—
1270	#121	—	13	1	no	—
1271	#121	—	13	1	no	—
1272	#121	—	13	1	no	—
1273	#121	—	26	1	no	—
1274	#121	—	26	1	no	—
1275	#121	—	26	1	no	—
1276	#121	—	26	1	no	—
1277	#121	—	26	1	no	—
1278	#121	—	26	1	no	—
1279	#121	—	26	1	no	—
1280	#121	—	26	1	no	—
1281	#121	—	26	1	no	—
1282	#121	—	26	1	no	—
1283	#121	—	26	1	no	—
1284	#121	—	26	1	no	—
1285	#121	—	26	1	no	—
1286	#121	—	26	1	no	—
1287	#121	—	26	1	no	—
1288	#121	—	26	1	no	—
1289	#121	C₂²×D₁₃	1	1	yes	characteristic
1290	#121	C₂²×D₁₃	1	1	yes	characteristic
1291	#121	C₂²×D₁₃	1	1	yes	characteristic
1292	#121	C₂²×D₁₃	1	1	yes	characteristic, complemented
1293	#120	—	2	1	no	—
1294	#120	—	2	1	no	—
1295	#120	—	13	1	no	—
1296	#120	—	13	1	no	—
1297	#120	—	26	1	no	—
1298	#120	—	26	1	no	—
1299	#120	—	26	1	no	—
1300	#120	—	26	1	no	—
1301	#120	—	26	1	no	—
1302	#120	—	26	1	no	—
1303	#120	—	26	1	no	—
1304	#120	—	26	1	no	—
1305	#120	—	26	1	no	—
1306	#120	—	26	1	no	—
1307	#120	—	26	1	no	—
1308	#120	—	26	1	no	—
1309	#120	—	26	1	no	—
1310	#120	—	26	1	no	—
1311	#120	—	26	1	no	—
1312	#120	—	26	1	no	—
1313	#120	—	26	1	no	—
1314	C₄×Q₈	—	26	1	no	—
1315	C₄×D₄	—	13	1	no	—
1316	C₄×D₄	—	13	1	no	—
1317	C₄×D₄	—	13	1	no	—
1318	C₄×D₄	—	13	1	no	—
1319	C₄×D₄	—	13	1	no	—
1320	C₄×D₄	—	13	1	no	—
1321	C₄×D₄	—	13	1	no	—
1322	C₄×D₄	—	13	1	no	—
1323	C₄×D₄	—	13	1	no	—
1324	C₄×D₄	—	26	1	no	—
1325	C₄×D₄	—	26	1	no	—
1326	C₄×D₄	—	26	1	no	—
1327	C₄×D₄	—	26	1	no	—
1328	C₄×D₄	—	26	1	no	—
1329	C₄×D₄	—	26	1	no	—
1330	C₄×D₄	—	26	1	no	—
1331	C₄×D₄	—	26	1	no	—
1332	C₄×D₄	—	26	1	no	—
1333	C₄×D₄	—	26	1	no	—
1334	C₄×D₄	—	26	1	no	—
1335	C₄×D₄	—	26	1	no	—
1336	C₄×D₄	—	26	1	no	—
1337	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1338	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1339	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1340	#117	—	2	1	no	—
1341	#117	—	13	1	no	—
1342	#117	—	13	1	no	—
1343	#117	—	13	1	no	—
1344	#117	—	13	1	no	—
1345	#117	—	13	1	no	—
1346	#117	—	13	1	no	—
1347	#117	—	26	1	no	—
1348	#117	—	26	1	no	—
1349	#117	—	26	1	no	—
1350	#117	C₂²×D₁₃	1	1	yes	characteristic
1351	#117	C₂²×D₁₃	1	1	yes	characteristic, complemented
1352	C₂×C₄⋊C₄	—	13	1	no	—
1353	C₂×C₄⋊C₄	—	13	1	no	—
1354	C₂×C₄⋊C₄	—	13	1	no	—
1355	C₂×C₄⋊C₄	—	13	1	no	—
1356	C₂×C₄⋊C₄	—	13	1	no	—
1357	C₂×C₂²⋊C₄	—	26	1	no	—
1358	C₂×C₂²⋊C₄	—	26	1	no	—
1359	C₂×C₂²⋊C₄	—	26	1	no	—
1360	C₂×C₂²⋊C₄	—	26	1	no	—
1361	C₂×C₂²⋊C₄	—	26	1	no	—
1362	C₂×C₂²⋊C₄	—	26	1	no	—
1363	C₂×C₂²⋊C₄	—	26	1	no	—
1364	C₂×C₂²⋊C₄	—	26	1	no	—
1365	C₂×C₂²⋊C₄	—	26	1	no	—
1366	C₂×C₂²⋊C₄	—	26	1	no	—
1367	C₂×C₄²	—	26	1	no	—
1368	#107	—	13	1	no	—
1369	#107	—	13	1	no	—
1370	#107	—	13	1	no	—
1371	#107	—	13	1	no	—
1372	#107	—	13	1	no	—
1373	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1374	#106	—	13	1	no	—
1375	#106	—	13	1	no	—
1376	#106	—	13	1	no	—
1377	#106	—	13	1	no	—
1378	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1379	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1380	C₄⋊C₈	—	13	1	no	—
1381	C₄⋊C₈	—	13	1	no	—
1382	C₄⋊C₈	—	13	1	no	—
1383	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1384	#103	—	13	1	no	—
1385	#103	—	13	1	no	—
1386	#103	—	13	1	no	—
1387	#103	—	13	1	no	—
1388	#103	—	13	1	no	—
1389	#103	—	13	1	no	—
1390	#102	—	13	1	no	—
1391	#102	—	13	1	no	—
1392	#102	—	13	1	no	—
1393	#102	—	13	1	no	—
1394	#102	—	13	1	no	—
1395	#102	—	13	1	no	—
1396	#102	—	13	1	no	—
1397	#102	—	13	1	no	—
1398	#102	—	13	1	no	—
1399	#102	—	13	1	no	—
1400	#102	—	13	1	no	—
1401	#102	—	13	1	no	—
1402	#102	—	13	1	no	—
1403	#102	—	13	1	no	—
1404	#102	—	13	1	no	—
1405	#102	—	13	1	no	—
1406	#102	—	13	1	no	—
1407	#102	—	13	1	no	—
1408	#102	—	13	1	no	—
1409	#102	—	13	1	no	—
1410	#102	—	13	1	no	—
1411	#102	—	13	1	no	—
1412	#102	—	13	1	no	—
1413	#102	—	13	1	no	—
1414	#102	C₂²×D₁₃	1	1	yes	characteristic
1415	#102	C₂²×D₁₃	1	1	yes	characteristic
1416	#102	C₂²×D₁₃	1	1	yes	characteristic
1417	#102	C₂²×D₁₃	1	1	yes	characteristic
1418	#102	C₂²×D₁₃	1	1	yes	characteristic
1419	#102	C₂²×D₁₃	1	1	yes	characteristic
1420	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1421	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1422	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1423	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1424	C₂²⋊C₈	—	13	1	no	—
1425	C₂²⋊C₈	—	13	1	no	—
1426	C₂²⋊C₈	—	13	1	no	—
1427	C₂²⋊C₈	—	13	1	no	—
1428	C₂²⋊C₈	—	13	1	no	—
1429	C₂²⋊C₈	—	13	1	no	—
1430	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1431	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1432	#97	—	13	1	no	—
1433	#97	—	13	1	no	—
1434	C₄×C₈	—	13	1	no	—
1435	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1436	C₂×C₁₃	—	4	1	no	—
1437	C₂×C₁₃	—	4	2	no	—
1438	C₂×C₁₃	—	4	1	no	—
1439	C₂×C₁₃	—	8	1	no	—
1440	C₂×C₁₃	—	8	1	no	—
1441	C₂×C₁₃	—	8	1	no	—
1442	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1443	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1444	C₂×C₁₃	#3585	1	1	yes	characteristic
1445	D₁₃	—	2	2	no	—
1446	D₁₃	—	2	2	no	—
1447	D₁₃	—	4	1	no	—
1448	D₁₃	—	4	2	no	—
1449	D₁₃	—	8	1	no	—
1450	D₁₃	—	8	1	no	—
1451	C₂⁴	—	2	1	no	—
1452	C₂⁴	—	2	1	no	—
1453	C₂⁴	—	13	1	no	—
1454	C₂⁴	—	26	1	no	—
1455	C₂⁴	—	26	1	no	—
1456	C₂⁴	—	26	1	no	—
1457	C₂⁴	—	26	1	no	—
1458	C₂⁴	—	26	1	no	—
1459	C₂⁴	—	26	1	no	—
1460	C₂⁴	—	26	1	no	—
1461	C₂⁴	—	52	4	no	—
1462	C₂⁴	—	104	2	no	—
1463	C₂⁴	—	104	2	no	—
1464	#41	—	26	2	no	—
1465	#41	—	26	2	no	—
1466	#41	—	26	2	no	—
1467	#41	—	26	2	no	—
1468	#41	—	26	2	no	—
1469	#41	—	26	2	no	—
1470	#41	—	52	1	no	—
1471	#41	—	52	1	no	—
1472	#41	—	52	4	no	—
1473	#41	—	104	2	no	—
1474	#41	—	104	2	no	—
1475	C₂×Q₈	—	2	1	no	—
1476	C₂×Q₈	—	13	1	no	—
1477	C₂×Q₈	—	13	1	no	—
1478	C₂×Q₈	—	26	1	no	—
1479	C₂×D₄	—	2	2	no	—
1480	C₂×D₄	—	2	2	no	—
1481	C₂×D₄	—	2	1	no	—
1482	C₂×D₄	—	2	1	no	—
1483	C₂×D₄	—	2	1	no	—
1484	C₂×D₄	—	2	1	no	—
1485	C₂×D₄	—	2	1	no	—
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	4	1	no	—
1490	C₂×D₄	—	4	1	no	—
1491	C₂×D₄	—	8	2	no	—
1492	C₂×D₄	—	13	4	no	—
1493	C₂×D₄	—	13	1	no	—
1494	C₂×D₄	—	13	1	no	—
1495	C₂×D₄	—	13	1	no	—
1496	C₂×D₄	—	13	1	no	—
1497	C₂×D₄	—	13	1	no	—
1498	C₂×D₄	—	13	1	no	—
1499	C₂×D₄	—	13	1	no	—
1500	C₂×D₄	—	13	1	no	—
1501	C₂×D₄	—	13	1	no	—
1502	C₂×D₄	—	26	2	no	—
1503	C₂×D₄	—	26	1	no	—
1504	C₂×D₄	—	26	1	no	—
1505	C₂×D₄	—	26	1	no	—
1506	C₂×D₄	—	26	2	no	—
1507	C₂×D₄	—	26	2	no	—
1508	C₂×D₄	—	26	2	no	—
1509	C₂×D₄	—	26	2	no	—
1510	C₂×D₄	—	26	2	no	—
1511	C₂×D₄	—	26	1	no	—
1512	C₂×D₄	—	26	1	no	—
1513	C₂×D₄	—	26	1	no	—
1514	C₂×D₄	—	26	1	no	—
1515	C₂×D₄	—	26	1	no	—
1516	C₂×D₄	—	26	1	no	—
1517	C₂×D₄	—	26	1	no	—
1518	C₂×D₄	—	26	1	no	—
1519	C₂×D₄	—	26	2	no	—
1520	C₂×D₄	—	26	2	no	—
1521	C₂×D₄	—	26	2	no	—
1522	C₂×D₄	—	26	1	no	—
1523	C₂×D₄	—	26	1	no	—
1524	C₂×D₄	—	26	1	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	—	52	1	no	—
1534	C₂×D₄	—	52	1	no	—
1535	C₂×D₄	—	52	1	no	—
1536	C₂×D₄	—	52	1	no	—
1537	C₂×D₄	—	52	4	no	—
1538	C₂×D₄	—	52	4	no	—
1539	C₂×D₄	—	52	4	no	—
1540	C₂×D₄	—	52	4	no	—
1541	C₂×D₄	—	52	4	no	—
1542	C₂×D₄	—	52	4	no	—
1543	C₂×D₄	—	104	2	no	—
1544	C₂×D₄	—	104	2	no	—
1545	C₂×D₄	—	104	2	no	—
1546	C₂×D₄	—	104	2	no	—
1547	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1548	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1549	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1550	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1551	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	2	1	no	—
1554	C₂²×C₄	—	13	1	no	—
1555	C₂²×C₄	—	13	1	no	—
1556	C₂²×C₄	—	13	1	no	—
1557	C₂²×C₄	—	13	1	no	—
1558	C₂²×C₄	—	13	1	no	—
1559	C₂²×C₄	—	13	1	no	—
1560	C₂²×C₄	—	26	2	no	—
1561	C₂²×C₄	—	26	2	no	—
1562	C₂²×C₄	—	26	1	no	—
1563	C₂²×C₄	—	26	1	no	—
1564	C₂²×C₄	—	26	1	no	—
1565	C₂²×C₄	—	26	1	no	—
1566	C₂²×C₄	—	26	1	no	—
1567	C₂²×C₄	—	26	1	no	—
1568	C₂²×C₄	—	26	1	no	—
1569	C₂²×C₄	—	26	1	no	—
1570	C₂²×C₄	—	26	1	no	—
1571	C₂²×C₄	—	26	1	no	—
1572	C₂²×C₄	—	26	1	no	—
1573	C₂²×C₄	—	26	1	no	—
1574	C₂²×C₄	—	26	1	no	—
1575	C₂²×C₄	—	26	1	no	—
1576	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1577	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1578	SD₁₆	—	52	1	no	—
1579	SD₁₆	—	52	1	no	—
1580	D₈	—	2	2	no	—
1581	D₈	—	4	1	no	—
1582	D₈	—	4	1	no	—
1583	D₈	—	26	2	no	—
1584	D₈	—	26	2	no	—
1585	D₈	—	26	2	no	—
1586	D₈	—	52	1	no	—
1587	D₈	—	52	1	no	—
1588	D₈	—	52	1	no	—
1589	D₈	—	52	1	no	—
1590	M₁₆	—	4	1	no	—
1591	M₁₆	—	4	1	no	—
1592	M₁₆	—	26	2	no	—
1593	M₁₆	—	26	2	no	—
1594	M₁₆	—	52	1	no	—
1595	M₁₆	—	52	1	no	—
1596	C₂×C₈	—	13	1	no	—
1597	C₂×C₈	—	13	1	no	—
1598	C₂×C₈	—	13	1	no	—
1599	C₂×C₈	—	13	1	no	—
1600	C₂×C₈	—	26	2	no	—
1601	C₂×C₈	—	26	2	no	—
1602	C₂×C₈	—	52	1	no	—
1603	C₂×C₈	—	52	1	no	—
1604	C₂×C₈	—	52	1	no	—
1605	C₂×C₈	—	52	1	no	—
1606	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1607	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1608	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1609	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1610	C₄⋊C₄	—	2	1	no	—
1611	C₄⋊C₄	—	13	1	no	—
1612	C₄⋊C₄	—	13	1	no	—
1613	C₄⋊C₄	—	13	1	no	—
1614	C₄⋊C₄	—	13	1	no	—
1615	C₄⋊C₄	—	13	1	no	—
1616	C₄⋊C₄	—	13	1	no	—
1617	C₄⋊C₄	—	13	1	no	—
1618	C₄⋊C₄	—	13	1	no	—
1619	C₄⋊C₄	—	13	1	no	—
1620	C₄⋊C₄	—	26	1	no	—
1621	C₄⋊C₄	—	26	1	no	—
1622	C₄⋊C₄	—	26	1	no	—
1623	C₄⋊C₄	—	26	1	no	—
1624	C₄⋊C₄	—	26	1	no	—
1625	C₄⋊C₄	—	26	1	no	—
1626	C₄⋊C₄	—	26	1	no	—
1627	C₄⋊C₄	—	26	1	no	—
1628	C₄⋊C₄	—	26	1	no	—
1629	C₄⋊C₄	—	26	1	no	—
1630	C₄⋊C₄	—	26	1	no	—
1631	C₄⋊C₄	—	26	1	no	—
1632	C₄⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1633	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1634	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1635	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1636	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	2	1	no	—
1640	C₂²⋊C₄	—	2	1	no	—
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	13	1	no	—
1646	C₂²⋊C₄	—	13	1	no	—
1647	C₂²⋊C₄	—	13	1	no	—
1648	C₂²⋊C₄	—	13	1	no	—
1649	C₂²⋊C₄	—	13	1	no	—
1650	C₂²⋊C₄	—	13	1	no	—
1651	C₂²⋊C₄	—	13	1	no	—
1652	C₂²⋊C₄	—	13	1	no	—
1653	C₂²⋊C₄	—	26	1	no	—
1654	C₂²⋊C₄	—	26	1	no	—
1655	C₂²⋊C₄	—	26	1	no	—
1656	C₂²⋊C₄	—	26	1	no	—
1657	C₂²⋊C₄	—	26	1	no	—
1658	C₂²⋊C₄	—	26	1	no	—
1659	C₂²⋊C₄	—	26	1	no	—
1660	C₂²⋊C₄	—	26	1	no	—
1661	C₂²⋊C₄	—	26	1	no	—
1662	C₂²⋊C₄	—	26	1	no	—
1663	C₂²⋊C₄	—	26	1	no	—
1664	C₂²⋊C₄	—	26	1	no	—
1665	C₂²⋊C₄	—	26	1	no	—
1666	C₂²⋊C₄	—	26	1	no	—
1667	C₂²⋊C₄	—	26	1	no	—
1668	C₂²⋊C₄	—	26	1	no	—
1669	C₂²⋊C₄	—	26	1	no	—
1670	C₂²⋊C₄	—	26	1	no	—
1671	C₂²⋊C₄	—	26	1	no	—
1672	C₂²⋊C₄	—	26	1	no	—
1673	C₂²⋊C₄	—	26	1	no	—
1674	C₂²⋊C₄	—	26	1	no	—
1675	C₂²⋊C₄	—	26	1	no	—
1676	C₂²⋊C₄	—	26	1	no	—
1677	C₂²⋊C₄	—	26	1	no	—
1678	C₂²⋊C₄	—	26	1	no	—
1679	C₂²⋊C₄	—	26	1	no	—
1680	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1681	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1682	C₄²	—	2	1	no	—
1683	C₄²	—	2	1	no	—
1684	C₄²	—	13	1	no	—
1685	C₄²	—	26	1	no	—
1686	C₄²	—	26	1	no	—
1687	C₄²	—	26	1	no	—
1688	C₄²	—	26	1	no	—
1689	C₄²	—	26	1	no	—
1690	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1691	C₁₃	#61183	1	1	yes	characteristic, complemented, Sylow
1692	C₂³	—	2	1	no	—
1693	C₂³	—	2	1	no	—
1694	C₂³	—	2	1	no	—
1695	C₂³	—	2	1	no	—
1696	C₂³	—	4	2	no	—
1697	C₂³	—	4	2	no	—
1698	C₂³	—	4	2	no	—
1699	C₂³	—	8	1	no	—
1700	C₂³	—	8	1	no	—
1701	C₂³	—	8	1	no	—
1702	C₂³	—	13	1	no	—
1703	C₂³	—	13	1	no	—
1704	C₂³	—	13	1	no	—
1705	C₂³	—	26	2	no	—
1706	C₂³	—	26	2	no	—
1707	C₂³	—	26	4	no	—
1708	C₂³	—	26	1	no	—
1709	C₂³	—	26	1	no	—
1710	C₂³	—	26	1	no	—
1711	C₂³	—	52	1	no	—
1712	C₂³	—	52	2	no	—
1713	C₂³	—	52	2	no	—
1714	C₂³	—	52	2	no	—
1715	C₂³	—	52	2	no	—
1716	C₂³	—	52	2	no	—
1717	C₂³	—	52	2	no	—
1718	C₂³	—	52	2	no	—
1719	C₂³	—	52	2	no	—
1720	C₂³	—	52	2	no	—
1721	C₂³	—	104	1	no	—
1722	C₂³	—	104	1	no	—
1723	C₂³	—	104	1	no	—
1724	C₂³	—	104	1	no	—
1725	C₂³	—	104	1	no	—
1726	C₂³	—	104	1	no	—
1727	C₂³	—	104	1	no	—
1728	C₂³	—	104	1	no	—
1729	C₂³	—	104	1	no	—
1730	C₂³	—	104	1	no	—
1731	C₂³	—	104	1	no	—
1732	C₂³	—	104	16	no	—
1733	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1734	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1735	Q₈	—	8	1	no	—
1736	Q₈	—	26	2	no	—
1737	Q₈	—	26	1	no	—
1738	Q₈	—	26	1	no	—
1739	Q₈	—	104	1	no	—
1740	D₄	—	2	1	no	—
1741	D₄	—	2	1	no	—
1742	D₄	—	2	1	no	—
1743	D₄	—	2	1	no	—
1744	D₄	—	2	1	no	—
1745	D₄	—	2	1	no	—
1746	D₄	—	2	1	no	—
1747	D₄	—	4	1	no	—
1748	D₄	—	4	2	no	—
1749	D₄	—	4	2	no	—
1750	D₄	—	4	2	no	—
1751	D₄	—	8	1	no	—
1752	D₄	—	8	1	no	—
1753	D₄	—	8	1	no	—
1754	D₄	—	8	1	no	—
1755	D₄	—	8	1	no	—
1756	D₄	—	13	2	no	—
1757	D₄	—	26	2	no	—
1758	D₄	—	26	2	no	—
1759	D₄	—	26	4	no	—
1760	D₄	—	26	2	no	—
1761	D₄	—	26	2	no	—
1762	D₄	—	26	2	no	—
1763	D₄	—	26	1	no	—
1764	D₄	—	26	1	no	—
1765	D₄	—	26	1	no	—
1766	D₄	—	26	1	no	—
1767	D₄	—	26	1	no	—
1768	D₄	—	52	2	no	—
1769	D₄	—	52	2	no	—
1770	D₄	—	52	2	no	—
1771	D₄	—	52	2	no	—
1772	D₄	—	52	1	no	—
1773	D₄	—	52	2	no	—
1774	D₄	—	52	2	no	—
1775	D₄	—	52	2	no	—
1776	D₄	—	52	2	no	—
1777	D₄	—	52	2	no	—
1778	D₄	—	52	2	no	—
1779	D₄	—	52	2	no	—
1780	D₄	—	52	2	no	—
1781	D₄	—	104	1	no	—
1782	D₄	—	104	1	no	—
1783	D₄	—	104	1	no	—
1784	D₄	—	104	1	no	—
1785	D₄	—	104	1	no	—
1786	D₄	—	104	1	no	—
1787	D₄	—	104	1	no	—
1788	D₄	—	104	1	no	—
1789	D₄	—	104	1	no	—
1790	D₄	#41×D₁₃	1	2	yes	—
1791	C₂×C₄	—	2	1	no	—
1792	C₂×C₄	—	2	1	no	—
1793	C₂×C₄	—	2	1	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	8	1	no	—
1800	C₂×C₄	—	8	1	no	—
1801	C₂×C₄	—	13	1	no	—
1802	C₂×C₄	—	13	2	no	—
1803	C₂×C₄	—	13	2	no	—
1804	C₂×C₄	—	13	1	no	—
1805	C₂×C₄	—	13	1	no	—
1806	C₂×C₄	—	13	1	no	—
1807	C₂×C₄	—	13	1	no	—
1808	C₂×C₄	—	26	2	no	—
1809	C₂×C₄	—	26	2	no	—
1810	C₂×C₄	—	26	2	no	—
1811	C₂×C₄	—	26	1	no	—
1812	C₂×C₄	—	26	1	no	—
1813	C₂×C₄	—	26	1	no	—
1814	C₂×C₄	—	26	1	no	—
1815	C₂×C₄	—	26	1	no	—
1816	C₂×C₄	—	26	1	no	—
1817	C₂×C₄	—	26	1	no	—
1818	C₂×C₄	—	26	1	no	—
1819	C₂×C₄	—	26	1	no	—
1820	C₂×C₄	—	52	2	no	—
1821	C₂×C₄	—	52	2	no	—
1822	C₂×C₄	—	52	2	no	—
1823	C₂×C₄	—	52	2	no	—
1824	C₂×C₄	—	104	1	no	—
1825	C₂×C₄	—	104	1	no	—
1826	C₂×C₄	—	104	1	no	—
1827	C₂×C₄	—	104	1	no	—
1828	C₂×C₄	—	104	1	no	—
1829	C₂×C₄	—	104	1	no	—
1830	C₂×C₄	—	104	1	no	—
1831	C₂×C₄	—	104	1	no	—
1832	C₂×C₄	—	104	1	no	—
1833	C₂×C₄	—	104	1	no	—
1834	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1835	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1836	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1837	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1838	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1839	C₈	—	2	1	no	—
1840	C₈	—	2	1	no	—
1841	C₈	—	2	1	no	—
1842	C₈	—	2	1	no	—
1843	C₈	—	26	1	no	—
1844	C₈	—	26	1	no	—
1845	C₈	—	26	1	no	—
1846	C₈	—	26	1	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	2	1	no	—
1849	C₂²	—	2	2	no	—
1850	C₂²	—	2	1	no	—
1851	C₂²	—	2	1	no	—
1852	C₂²	—	2	1	no	—
1853	C₂²	—	2	1	no	—
1854	C₂²	—	4	1	no	—
1855	C₂²	—	4	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	4	1	no	—
1859	C₂²	—	4	1	no	—
1860	C₂²	—	4	1	no	—
1861	C₂²	—	4	1	no	—
1862	C₂²	—	4	1	no	—
1863	C₂²	—	4	1	no	—
1864	C₂²	—	4	1	no	—
1865	C₂²	—	8	4	no	—
1866	C₂²	—	13	2	no	—
1867	C₂²	—	13	2	no	—
1868	C₂²	—	16	2	no	—
1869	C₂²	—	26	1	no	—
1870	C₂²	—	26	1	no	—
1871	C₂²	—	26	1	no	—
1872	C₂²	—	26	1	no	—
1873	C₂²	—	26	1	no	—
1874	C₂²	—	26	2	no	—
1875	C₂²	—	26	1	no	—
1876	C₂²	—	26	1	no	—
1877	C₂²	—	52	4	no	—
1878	C₂²	—	52	1	no	—
1879	C₂²	—	52	1	no	—
1880	C₂²	—	52	1	no	—
1881	C₂²	—	52	1	no	—
1882	C₂²	—	52	1	no	—
1883	C₂²	—	52	1	no	—
1884	C₂²	—	52	1	no	—
1885	C₂²	—	52	1	no	—
1886	C₂²	—	104	4	no	—
1887	C₂²	—	104	4	no	—
1888	C₂²	—	104	4	no	—
1889	C₂²	—	104	4	no	—
1890	C₂²	—	104	4	no	—
1891	C₂²	—	208	2	no	—
1892	C₂²	—	208	2	no	—
1893	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1894	C₄	—	2	1	no	—
1895	C₄	—	2	1	no	—
1896	C₄	—	2	1	no	—
1897	C₄	—	2	1	no	—
1898	C₄	—	4	1	no	—
1899	C₄	—	4	1	no	—
1900	C₄	—	4	1	no	—
1901	C₄	—	4	1	no	—
1902	C₄	—	13	2	no	—
1903	C₄	—	26	1	no	—
1904	C₄	—	26	1	no	—
1905	C₄	—	26	1	no	—
1906	C₄	—	26	1	no	—
1907	C₄	—	52	1	no	—
1908	C₄	—	52	1	no	—
1909	C₄	—	52	1	no	—
1910	C₄	—	52	1	no	—
1911	C₄	—	52	1	no	—
1912	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1913	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1914	C₂	—	4	1	no	—
1915	C₂	—	4	1	no	—
1916	C₂	—	4	2	no	—
1917	C₂	—	8	1	no	—
1918	C₂	—	8	1	no	—
1919	C₂	—	8	1	no	—
1920	C₂	—	26	2	no	—
1921	C₂	—	26	2	no	—
1922	C₂	—	52	1	no	—
1923	C₂	—	52	2	no	—
1924	C₂	—	104	1	no	—
1925	C₂	—	104	1	no	—
1926	C₂	D₁₃×#546	1	1	yes	characteristic
1927	C₂	D₁₃×#576	1	1	yes	characteristic
1928	C₂	#13129612	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×#3325	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3325	D₁₃
hypocenter	C₁₃	#61183
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3325

Complements

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

N	H ≅ G/N	type
1. #13128570	C₂	semidirect
2. #13128464	C₂	semidirect
3. #13127076	C₂	semidirect
4. #13127041	C₂	semidirect
5. #13127039	C₂	semidirect
6. #13126993	C₂	semidirect
7. #13126986	C₂	semidirect
8. #13126984	C₂	semidirect
9. #13126978	C₂	semidirect
10. #13126977	C₂	semidirect
11. #13126972	C₂	semidirect
12. #13126794	C₂	semidirect
13. #13126792	C₂	semidirect
14. #13126691	C₂	semidirect
15. #13126689	C₂	semidirect
16. #13126648	C₂	semidirect
17. #13126642	C₂	semidirect
18. #13125185	C₂	semidirect
19. #13124791	C₂	semidirect
20. #13124748	C₂	semidirect
21. #13124662	C₂	semidirect
22. #13124482	C₂	semidirect
23. #13124454	C₂	semidirect
24. #13124334	C₂	semidirect
25. #13124099	C₂	semidirect
26. D₁₃×#447	C₂	semidirect
27. #13123683	C₂	semidirect
28. #13123565	C₂	semidirect
29. #13123361	C₂	semidirect
30. D₁₃×#418	C₂	semidirect
31. C₁₃×#3325	C₂	semidirect
34. C₁₃×#555	C₂²	semidirect
35. D₄²×C₁₃	C₂²	semidirect
36. #11719511	C₂²	semidirect
38. D₄×C₂²⋊D₁₃	C₂²	semidirect
40. C₂×#88165	C₂²	semidirect
42. C₂×D₈×D₁₃	C₂²	semidirect
43. C₂×#88161	C₂²	semidirect
44. C₂×M₁₆×D₁₃	C₂²	semidirect
45. #11719434	C₂²	semidirect
46. #11719431	C₂²	semidirect
47. #11719422	C₂²	semidirect
54. #11719319	C₂²	semidirect
55. #11719317	C₂²	semidirect
56. #11719316	C₂²	semidirect
59. #11719314	C₂²	semidirect
61. #11719312	C₂²	semidirect
64. D₁₃×#121	C₂²	semidirect
69. #11719270	C₂²	semidirect
70. #11719263	C₂²	semidirect
71. #11719259	C₂²	semidirect
72. #11719255	C₂²	semidirect
75. #11719250	C₂²	semidirect
76. #11719237	C₂²	semidirect
77. #11719235	C₂²	semidirect
80. #11719228	C₂²	semidirect
81. D₁₃×#117	C₂²	semidirect
82. C₁₃×#486	C₂²	semidirect
83. C₁₃×#482	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#476	C₂²	semidirect
86. C₁₃×#469	C₂²	semidirect
87. C₁₃×#469	C₂²	semidirect
88. C₁₃×#459	C₂²	semidirect
89. C₁₃×#447	C₂²	semidirect
90. C₁₃×#447	C₂²	semidirect
91. C₄×C₁₃×D₈	C₂²	semidirect
92. C₁₃×#436	C₂²	semidirect
93. C₁₃×#418	C₂²	semidirect
94. C₁₃×#418	C₂²	semidirect
95. #11718878	C₂²	semidirect
96. #11718878	C₂²	semidirect
97. #11718876	C₂²	semidirect
98. C₂×#88072	C₂²	semidirect
99. #11718820	C₂²	semidirect
100. #11718819	C₂²	semidirect
101. #11718818	C₂²	semidirect
102. #11718817	C₂²	semidirect
103. #11718817	C₂²	semidirect
104. #11718817	C₂²	semidirect
105. #11718814	C₂²	semidirect
106. #11718811	C₂²	semidirect
107. D₈×Dic₁₃	C₂²	semidirect
108. #11718796	C₂²	semidirect
109. #11718795	C₂²	semidirect
110. #11718794	C₂²	semidirect
111. #11718792	C₂²	semidirect
112. #11718788	C₂²	semidirect
113. #11718788	C₂²	semidirect
114. #11718750	C₂²	semidirect
115. #11718748	C₂²	semidirect
116. #11718733	C₂²	semidirect
117. #11718732	C₂²	semidirect
118. #11718703	C₂²	semidirect
119. #11718700	C₂²	semidirect
120. #11718699	C₂²	semidirect
121. #11718699	C₂²	semidirect
122. #11718698	C₂²	semidirect
123. #11718697	C₂²	semidirect
124. #11718696	C₂²	semidirect
125. #11718695	C₂²	semidirect
126. #11718677	C₂²	semidirect
127. #11718675	C₂²	semidirect
128. #11718675	C₂²	semidirect
129. #11718672	C₂²	semidirect
130. #11718670	C₂²	semidirect
131. #11718664	C₂²	semidirect
132. #11718663	C₂²	semidirect
133. #11718662	C₂²	semidirect
134. #11718657	C₂²	semidirect
135. #11718546	C₂²	semidirect
136. #11718545	C₂²	semidirect
137. #11718541	C₂²	semidirect
138. #11718533	C₂²	semidirect
139. #11718532	C₂²	semidirect
140. #11718531	C₂²	semidirect
141. #11718526	C₂²	semidirect
142. #11718525	C₂²	semidirect
143. #11718524	C₂²	semidirect
144. #11718523	C₂²	semidirect
145. #11718522	C₂²	semidirect
146. #11718521	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718505	C₂²	semidirect
149. #11718500	C₂²	semidirect
150. #11718497	C₂²	semidirect
151. #11718448	C₂²	semidirect
152. #11718447	C₂²	semidirect
153. #11718446	C₂²	semidirect
154. #11718446	C₂²	semidirect
155. #11718445	C₂²	semidirect
156. #11718442	C₂²	semidirect
157. #11718439	C₂²	semidirect
158. #11718438	C₂²	semidirect
159. #11718436	C₂²	semidirect
160. #11718436	C₂²	semidirect
161. #11718436	C₂²	semidirect
162. #11718435	C₂²	semidirect
163. #11718435	C₂²	semidirect
164. #11718434	C₂²	semidirect
165. #11718434	C₂²	semidirect
166. #11718434	C₂²	semidirect
167. #11718433	C₂²	semidirect
168. #11718433	C₂²	semidirect
169. #11718433	C₂²	semidirect
170. #11718432	C₂²	semidirect
171. #11718432	C₂²	semidirect
174. #11718431	C₂²	semidirect
175. #11718431	C₂²	semidirect
176. #11718431	C₂²	semidirect
177. #11718431	C₂²	semidirect
179. D₁₃×#102	C₂²	semidirect
180. D₁₃×#102	C₂²	semidirect
181. D₁₃×#102	C₂²	semidirect
182. D₁₃×#102	C₂²	semidirect
183. D₁₃×#102	C₂²	semidirect
184. D₁₃×#102	C₂²	semidirect
185. #11718429	C₂²	semidirect
186. #11718426	C₂²	semidirect
187. #11718425	C₂²	semidirect
188. #11718424	C₂²	semidirect
189. #11718421	C₂²	semidirect
190. #11718420	C₂²	semidirect
191. #11718397	C₂²	semidirect
192. #11718395	C₂²	semidirect
193. #11718393	C₂²	semidirect
194. #11718390	C₂²	semidirect
195. #11718388	C₂²	semidirect
196. #11718386	C₂²	semidirect
197. D₁₃×C₂²⋊C₈	C₂²	semidirect
198. #11718384	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×D₁₀₄	C₂²	semidirect
201. #11718350	C₂²	semidirect
202. C₈×D₅₂	C₂²	semidirect
238. C₂×C₁₃×D₈	C₂³	semidirect
240. C₂×C₁₃×M₁₆	C₂³	semidirect
241. C₁₃×C₄⋊Q₈	C₂³	semidirect
250. C₁₃×#121	C₂³	semidirect
255. C₄×D₄×C₁₃	C₂³	semidirect
258. C₁₃×#117	C₂³	semidirect
281. #88192	C₂³	semidirect
300. D₄×Dic₁₃	C₂³	semidirect
301. C₂×#6105	C₂³	semidirect
306. C₂×#6104	C₂³	semidirect
310. #88184	C₂³	semidirect
321. C₂×C₄⋊Dic₁₃	C₂³	semidirect
324. C₂²×#1055	C₂³	semidirect
332. C₂×#6095	C₂³	semidirect
335. C₂×#6094	C₂³	semidirect
340. C₂×C₈×D₁₃	C₂³	semidirect
347. #88149	C₂³	semidirect
353. #88147	C₂³	semidirect
357. #88146	C₂³	semidirect
361. C₄⋊C₄×D₁₃	C₂³	semidirect
362. #88144	C₂³	semidirect
364. #88142	C₂³	semidirect
412. C₄×D₅₂	C₂³	semidirect
417. #88124	C₂³	semidirect
419. C₁₃×#107	C₂³	semidirect
420. C₁₃×#106	C₂³	semidirect
421. C₁₃×#106	C₂³	semidirect
422. C₁₃×C₄⋊C₈	C₂³	semidirect
429. C₁₃×#102	C₂³	semidirect
430. C₁₃×#102	C₂³	semidirect
431. C₁₃×#102	C₂³	semidirect
432. C₁₃×#102	C₂³	semidirect
434. C₁₃×C₂²⋊C₈	C₂³	semidirect
435. C₄×C₈×C₁₃	C₂³	semidirect
442. #88072	C₂³	semidirect
443. #88072	C₂³	semidirect
444. #88072	C₂³	semidirect
445. #88072	C₂³	semidirect
447. C₂²⋊#1055	C₂³	semidirect
454. #88061	C₂³	semidirect
457. #88060	C₂³	semidirect
458. #88060	C₂³	semidirect
459. #88058	C₂³	semidirect
460. #88058	C₂³	semidirect
461. #88057	C₂³	semidirect
462. #88056	C₂³	semidirect
463. #88056	C₂³	semidirect
464. #88056	C₂³	semidirect
465. #88055	C₂³	semidirect
466. #88054	C₂³	semidirect
467. #88054	C₂³	semidirect
468. C₈×Dic₁₃	C₂³	semidirect
469. #88050	C₂³	semidirect
470. #88050	C₂³	semidirect
471. #88050	C₂³	semidirect
478. #88049	C₂³	semidirect
479. #88048	C₂³	semidirect
480. #88048	C₂³	semidirect
481. #88048	C₂³	semidirect
482. #88047	C₂³	semidirect
483. #88047	C₂³	semidirect
484. #88047	C₂³	semidirect
485. C₄⋊#1055	C₂³	semidirect
486. #88043	C₂³	semidirect
580. D₄×D₁₃	#41	semidirect
731. #3325	D₁₃	semidirect
922. #555	C₂×D₁₃	semidirect
944. D₄²	C₂×D₁₃	semidirect
971. #486	C₂×D₁₃	semidirect
980. #482	C₂×D₁₃	semidirect
981. #482	C₂×D₁₃	semidirect
993. #476	C₂×D₁₃	semidirect
1000. #469	C₂×D₁₃	semidirect
1001. #469	C₂×D₁₃	semidirect
1019. #459	C₂×D₁₃	semidirect
1034. #447	C₂×D₁₃	semidirect
1035. #447	C₂×D₁₃	semidirect
1043. C₄×D₈	C₂×D₁₃	semidirect
1045. #436	C₂×D₁₃	semidirect
1065. #418	C₂×D₁₃	semidirect
1066. #418	C₂×D₁₃	semidirect
1199. C₂×D₈	C₂²×D₁₃	semidirect
1207. C₂×M₁₆	C₂²×D₁₃	semidirect
1216. C₄⋊Q₈	C₂²×D₁₃	semidirect
1292. #121	C₂²×D₁₃	semidirect
1339. C₄×D₄	C₂²×D₁₃	semidirect
1351. #117	C₂²×D₁₃	semidirect
1373. #107	C₂²×D₁₃	semidirect
1378. #106	C₂²×D₁₃	semidirect
1379. #106	C₂²×D₁₃	semidirect
1383. C₄⋊C₈	C₂²×D₁₃	semidirect
1420. #102	C₂²×D₁₃	semidirect
1421. #102	C₂²×D₁₃	semidirect
1422. #102	C₂²×D₁₃	semidirect
1423. #102	C₂²×D₁₃	semidirect
1431. C₂²⋊C₈	C₂²×D₁₃	semidirect
1435. C₄×C₈	C₂²×D₁₃	semidirect
1691. C₁₃	#61183	semidirect

Maximal subgroups

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

subgroup	index
#13128570	2
#13128464	2
#13127076	2
#13127041	2
#13127039	2
#13126993	2
#13126986	2
#13126984	2
#13126978	2
#13126977	2
#13126972	2
#13126794	2
#13126792	2
#13126691	2
#13126689	2
#13126648	2
#13126642	2
#13125185	2
#13124791	2
#13124748	2
#13124662	2
#13124482	2
#13124454	2
#13124334	2
#13124099	2
D₁₃×#447	2
#13123683	2
#13123565	2
#13123361	2
D₁₃×#418	2
C₁₃×#3325	2
#61183	13