Subgroups — D₁₃×#3297 #16739278

Order 3328.

2350 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₃×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	D₁₃×#546	C₂	1	1	yes	maximal, characteristic, complemented
3	#13126693	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126692	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126691	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126690	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126689	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126688	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126687	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126686	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126685	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126684	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126683	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126682	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126681	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126680	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126679	C₂	1	1	yes	maximal, characteristic, complemented
18	D₁₃×#488	C₂	1	1	yes	maximal, characteristic, complemented
19	D₁₃×#484	C₂	1	1	yes	maximal, characteristic, complemented
20	D₁₃×#482	C₂	1	1	yes	maximal, characteristic, complemented
21	D₁₃×#478	C₂	1	1	yes	maximal, characteristic, complemented
22	D₁₃×#466	C₂	1	1	yes	maximal, characteristic, complemented
23	D₁₃×#465	C₂	1	1	yes	maximal, characteristic, complemented
24	D₁₃×#463	C₂	1	1	yes	maximal, characteristic, complemented
25	D₁₃×#449	C₂	1	1	yes	maximal, characteristic, complemented
26	D₁₃×#447	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×D₈×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
28	C₈×D₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₃×#416	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×D₁₃×#102	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₃	C₂²	1	1	yes	characteristic
33	C₂²×D₄×D₁₃	C₂²	1	1	yes	characteristic
34	C₁₃×#553	C₂²	1	1	yes	characteristic, complemented
35	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
36	#11719534	C₂²	1	1	yes	characteristic, complemented
37	#11719511	C₂²	1	1	yes	characteristic, complemented
38	C₂×SD₁₆×D₁₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
40	C₂×D₈×D₁₃	C₂²	1	1	yes	characteristic
41	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
42	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic, complemented
43	#11719414	—	2	1	no	—
44	D₁₃×#126	—	2	1	no	—
45	#11719400	C₂²	1	1	yes	characteristic, complemented
46	D₁₃×#125	C₂²	1	1	yes	characteristic, complemented
47	#11719381	C₂²	1	1	yes	characteristic, complemented
48	D₁₃×#124	C₂²	1	1	yes	characteristic
49	#11719366	—	2	1	no	—
50	#11719359	—	2	1	no	—
51	D₁₃×#123	—	2	1	no	—
52	D₁₃×#123	—	2	1	no	—
53	#11719335	C₂²	1	1	yes	characteristic, complemented
54	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
55	#11719323	C₂²	1	1	yes	characteristic, complemented
56	#11719319	C₂²	1	1	yes	characteristic, complemented
57	#11719317	C₂²	1	1	yes	characteristic, complemented
58	#11719315	—	2	1	no	—
59	D₁₃×#121	—	2	1	no	—
60	D₁₃×#121	—	2	1	no	—
61	D₁₃×#121	C₂²	1	1	yes	characteristic
62	D₁₃×#121	C₂²	1	1	yes	characteristic
63	D₁₃×#121	C₂²	1	1	yes	characteristic, complemented
64	#11719306	—	2	1	no	—
65	#11719296	—	2	1	no	—
66	D₁₃×#120	—	2	1	no	—
67	#11719270	C₂²	1	1	yes	characteristic, complemented
68	#11719263	C₂²	1	1	yes	characteristic, complemented
69	#11719259	C₂²	1	1	yes	characteristic, complemented
70	#11719255	C₂²	1	1	yes	characteristic, complemented
71	C₄×D₄×D₁₃	—	2	1	no	—
72	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic
74	C₄×D₄×D₁₃	C₂²	1	1	yes	characteristic, complemented
75	#11719245	—	2	1	no	—
76	#11719235	C₂²	1	1	yes	characteristic, complemented
77	D₁₃×#117	C₂²	1	1	yes	characteristic, complemented
78	#11719219	C₂²	1	1	yes	characteristic, complemented
79	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
80	#11719195	—	2	1	no	—
81	C₂×C₂²⋊C₄×D₁₃	—	2	1	no	—
82	C₁₃×#488	C₂²	1	1	yes	characteristic, complemented
83	C₁₃×#484	C₂²	1	1	yes	characteristic, complemented
84	C₁₃×#482	C₂²	1	1	yes	characteristic, complemented
85	C₁₃×#478	C₂²	1	1	yes	characteristic, complemented
86	C₁₃×#466	C₂²	1	1	yes	characteristic, complemented
87	C₁₃×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₃×#463	C₂²	1	1	yes	characteristic, complemented
89	C₁₃×#449	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	C₈×D₄×C₁₃	C₂²	1	1	yes	characteristic, complemented
93	C₁₃×#416	C₂²	1	1	yes	characteristic, complemented
94	C₂×C₁₃×#102	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic, complemented
96	#11718894	C₂²	1	1	yes	characteristic, complemented
97	#11718878	C₂²	1	1	yes	characteristic, complemented
98	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
99	#11718833	C₂²	1	1	yes	characteristic, complemented
100	#11718832	C₂²	1	1	yes	characteristic, complemented
101	#11718826	C₂²	1	1	yes	characteristic, complemented
102	#11718819	C₂²	1	1	yes	characteristic, complemented
103	#11718818	C₂²	1	1	yes	characteristic, complemented
104	#11718817	C₂²	1	1	yes	characteristic, complemented
105	#11718817	C₂²	1	1	yes	characteristic, complemented
106	#11718814	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	#11718776	C₂²	1	1	yes	characteristic, complemented
109	#11718775	C₂²	1	1	yes	characteristic, complemented
110	#11718774	C₂²	1	1	yes	characteristic, complemented
111	C₂×#88061	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
113	C₈×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic, complemented
114	#11718729	C₂²	1	1	yes	characteristic, complemented
115	#11718727	C₂²	1	1	yes	characteristic, complemented
116	#11718718	C₂²	1	1	yes	characteristic, complemented
117	#11718717	C₂²	1	1	yes	characteristic, complemented
118	#11718709	C₂²	1	1	yes	characteristic, complemented
119	#11718705	C₂²	1	1	yes	characteristic, complemented
120	#11718702	C₂²	1	1	yes	characteristic, complemented
121	#11718699	C₂²	1	1	yes	characteristic, complemented
122	#11718699	C₂²	1	1	yes	characteristic, complemented
123	#11718698	C₂²	1	1	yes	characteristic, complemented
124	#11718697	C₂²	1	1	yes	characteristic, complemented
125	#11718696	C₂²	1	1	yes	characteristic, complemented
126	#11718677	C₂²	1	1	yes	characteristic, complemented
127	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
128	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
129	D₄×#1055	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	#11718631	C₂²	1	1	yes	characteristic, complemented
134	C₂×#88049	C₂²	1	1	yes	characteristic, complemented
135	#11718552	C₂²	1	1	yes	characteristic, complemented
136	#11718546	C₂²	1	1	yes	characteristic, complemented
137	#11718545	C₂²	1	1	yes	characteristic, complemented
138	#11718545	C₂²	1	1	yes	characteristic, complemented
139	#11718544	C₂²	1	1	yes	characteristic, complemented
140	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
141	D₁₃×#107	C₂²	1	1	yes	characteristic, complemented
142	#11718533	C₂²	1	1	yes	characteristic, complemented
143	#11718532	C₂²	1	1	yes	characteristic, complemented
144	#11718527	C₂²	1	1	yes	characteristic, complemented
145	#11718525	C₂²	1	1	yes	characteristic, complemented
146	D₁₃×#106	C₂²	1	1	yes	characteristic, complemented
147	#11718508	C₂²	1	1	yes	characteristic, complemented
148	#11718505	C₂²	1	1	yes	characteristic, complemented
149	#11718495	C₂²	1	1	yes	characteristic, complemented
150	D₁₃×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
151	#11718480	C₂²	1	1	yes	characteristic, complemented
152	#11718472	C₂²	1	1	yes	characteristic, complemented
153	#11718470	C₂²	1	1	yes	characteristic, complemented
154	#11718470	C₂²	1	1	yes	characteristic, complemented
155	#11718468	C₂²	1	1	yes	characteristic, complemented
156	#11718465	C₂²	1	1	yes	characteristic, complemented
157	#11718465	C₂²	1	1	yes	characteristic, complemented
158	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
159	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
160	D₁₃×#103	C₂²	1	1	yes	characteristic, complemented
161	#11718461	C₂²	1	1	yes	characteristic, complemented
162	#11718461	C₂²	1	1	yes	characteristic, complemented
163	#11718448	C₂²	1	1	yes	characteristic, complemented
164	#11718445	C₂²	1	1	yes	characteristic, complemented
165	#11718442	C₂²	1	1	yes	characteristic, complemented
166	#11718440	C₂²	1	1	yes	characteristic, complemented
167	#11718439	C₂²	1	1	yes	characteristic, complemented
168	#11718436	C₂²	1	1	yes	characteristic, complemented
169	#11718436	C₂²	1	1	yes	characteristic, complemented
170	#11718434	C₂²	1	1	yes	characteristic, complemented
171	#11718434	C₂²	1	1	yes	characteristic, complemented
172	#11718433	C₂²	1	1	yes	characteristic, complemented
173	#11718433	C₂²	1	1	yes	characteristic, complemented
174	D₁₃×#102	C₂²	1	1	yes	characteristic
175	D₁₃×#102	C₂²	1	1	yes	characteristic
176	D₁₃×#102	C₂²	1	1	yes	characteristic
177	D₁₃×#102	C₂²	1	1	yes	characteristic
178	D₁₃×#102	C₂²	1	1	yes	characteristic
179	D₁₃×#102	C₂²	1	1	yes	characteristic
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	#11718429	C₂²	1	1	yes	characteristic, complemented
187	#11718427	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	#11718398	C₂²	1	1	yes	characteristic, complemented
192	#11718395	C₂²	1	1	yes	characteristic, complemented
193	#11718393	C₂²	1	1	yes	characteristic, complemented
194	#11718386	C₂²	1	1	yes	characteristic, complemented
195	#11718386	C₂²	1	1	yes	characteristic, complemented
196	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
197	D₁₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#11718383	C₂²	1	1	yes	characteristic, complemented
199	#11718358	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₁₀₄	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₅₂	C₂²	1	1	yes	characteristic, complemented
202	C₄×C₈×D₁₃	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	—	2	4	no	—
208	#41×D₁₃	—	4	2	no	—
209	C₂×#6131	C₂³	1	1	yes	characteristic
210	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
211	C₂×#6129	—	2	1	no	—
212	C₂×#6129	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₁₃	—	2	4	no	—
214	C₂×D₄×D₁₃	—	2	1	no	—
215	C₂×D₄×D₁₃	—	2	1	no	—
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	—	4	2	no	—
221	C₂×D₄×D₁₃	D₄	1	1	yes	characteristic
222	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₁₃	C₂³	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×#6127	—	2	1	no	—
228	C₂×#6127	C₂³	1	1	yes	characteristic
229	C₂²×D₅₂	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₁₃	—	2	1	no	—
231	C₂²×C₄×D₁₃	—	2	1	no	—
232	C₂²×C₄×D₁₃	—	2	1	no	—
233	C₂²×C₄×D₁₃	—	2	1	no	—
234	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₁₃×SD₁₆	C₂³	1	1	yes	characteristic, complemented
237	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
238	C₂×C₁₃×D₈	C₂³	1	1	yes	characteristic
239	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic
240	C₂²×C₈×C₁₃	C₂³	1	1	yes	characteristic, complemented
241	C₁₃×#126	—	2	1	no	—
242	C₁₃×#125	C₂³	1	1	yes	characteristic, complemented
243	C₁₃×#124	C₂³	1	1	yes	characteristic
244	C₁₃×#123	—	2	1	no	—
245	C₁₃×#123	—	2	1	no	—
246	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₃×#121	—	2	1	no	—
248	C₁₃×#121	—	2	1	no	—
249	C₁₃×#121	C₂³	1	1	yes	characteristic
250	C₁₃×#121	C₂³	1	1	yes	characteristic
251	C₁₃×#121	C₂³	1	1	yes	characteristic, complemented
252	C₁₃×#120	—	2	1	no	—
253	C₄×D₄×C₁₃	—	2	1	no	—
254	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
256	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic, complemented
257	C₁₃×#117	C₂³	1	1	yes	characteristic, complemented
258	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
260	#88207	—	2	1	no	—
261	C₂×C₂²⋊Dic₁₃	—	2	1	no	—
262	#88201	C₂³	1	1	yes	characteristic
263	#88200	C₂³	1	1	yes	characteristic
264	C₂×#6106	C₂³	1	1	yes	characteristic, complemented
265	#88193	—	2	1	no	—
266	#88193	—	2	1	no	—
267	#88193	—	2	1	no	—
268	#88193	—	2	1	no	—
269	#88193	—	2	1	no	—
270	#88193	—	2	1	no	—
271	#88193	—	2	1	no	—
272	#88192	—	2	1	no	—
273	#88192	—	2	1	no	—
274	#88192	C₂³	1	1	yes	characteristic
275	#88192	C₂³	1	1	yes	characteristic
276	#88192	C₂³	1	1	yes	characteristic, complemented
277	#88191	—	2	1	no	—
278	#88191	—	2	1	no	—
279	#88191	—	2	1	no	—
280	#88190	C₂³	1	1	yes	characteristic
281	#88189	—	2	1	no	—
282	#88189	—	2	1	no	—
283	D₄×Dic₁₃	—	2	1	no	—
284	D₄×Dic₁₃	D₄	1	1	yes	characteristic
285	D₄×Dic₁₃	C₂³	1	1	yes	characteristic
286	D₄×Dic₁₃	C₂³	1	1	yes	characteristic, complemented
287	C₂×#6105	C₂³	1	1	yes	characteristic, complemented
288	C₂×#6104	C₂³	1	1	yes	characteristic
289	C₂×#6104	C₂³	1	1	yes	characteristic
290	C₂×#6104	C₂³	1	1	yes	characteristic
291	C₂×#6104	C₂³	1	1	yes	characteristic
292	#88184	—	2	1	no	—
293	#88184	—	2	1	no	—
294	#88184	C₂³	1	1	yes	characteristic
295	#88184	C₂³	1	1	yes	characteristic
296	#88184	C₂³	1	1	yes	characteristic, complemented
297	#88183	—	2	1	no	—
298	#88183	—	2	1	no	—
299	C₄×C₂²⋊D₁₃	—	2	1	no	—
300	C₄×C₂²⋊D₁₃	—	2	1	no	—
301	C₄×C₂²⋊D₁₃	—	2	1	no	—
302	C₄×C₂²⋊D₁₃	—	2	1	no	—
303	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
304	C₄×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
305	C₂×#6103	—	2	1	no	—
306	C₂×#6103	—	2	1	no	—
307	#88180	C₂³	1	1	yes	characteristic, complemented
308	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
309	#88178	C₂³	1	1	yes	characteristic
310	C₂×#6101	—	2	1	no	—
311	C₂²×#1055	C₂³	1	1	yes	characteristic
312	C₂²×#1055	C₂³	1	1	yes	characteristic, complemented
313	SD₁₆×D₁₃	—	4	2	no	—
314	D₈×D₁₃	—	2	4	no	—
315	D₈×D₁₃	—	4	2	no	—
316	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
317	C₂×D₁₀₄	C₂³	1	1	yes	characteristic
318	C₂×#6095	C₂³	1	1	yes	characteristic, complemented
319	C₂×C₈×D₁₃	—	4	2	no	—
320	C₂×C₈×D₁₃	—	4	2	no	—
321	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
322	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
323	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
325	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
326	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic
327	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
328	C₂×C₈×D₁₃	C₂³	1	1	yes	characteristic, complemented
329	#88152	—	2	1	no	—
330	#88152	—	2	1	no	—
331	#88152	—	2	1	no	—
332	#88151	C₂³	1	1	yes	characteristic
333	#88150	—	2	1	no	—
334	#88149	—	2	1	no	—
335	#88149	—	2	1	no	—
336	#88149	C₂³	1	1	yes	characteristic
337	#88149	C₂³	1	1	yes	characteristic
338	#88149	C₂³	1	1	yes	characteristic, complemented
339	#88148	—	2	1	no	—
340	#88148	—	2	1	no	—
341	#88148	—	2	1	no	—
342	#88148	—	2	1	no	—
343	#88147	—	2	1	no	—
344	#88147	D₄	1	1	yes	characteristic
345	#88147	C₂³	1	1	yes	characteristic
346	#88147	C₂³	1	1	yes	characteristic, complemented
347	#88146	C₂³	1	1	yes	characteristic, complemented
348	#88146	C₂³	1	1	yes	characteristic, complemented
349	C₄⋊C₄×D₁₃	—	2	1	no	—
350	C₄⋊C₄×D₁₃	—	2	1	no	—
351	C₄⋊C₄×D₁₃	—	2	1	no	—
352	C₄⋊C₄×D₁₃	—	2	1	no	—
353	C₄⋊C₄×D₁₃	—	2	1	no	—
354	C₄⋊C₄×D₁₃	D₄	1	1	yes	characteristic
355	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
356	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
357	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
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	#88144	C₂³	1	1	yes	characteristic, complemented
362	#88144	C₂³	1	1	yes	characteristic, complemented
363	#88143	—	2	1	no	—
364	#88143	—	2	1	no	—
365	#88140	—	2	1	no	—
366	#88140	—	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	—	2	1	no	—
376	#88137	—	2	1	no	—
377	#88137	—	2	1	no	—
378	#88137	—	2	1	no	—
379	#88137	—	2	1	no	—
380	#88136	—	2	1	no	—
381	#88136	—	2	1	no	—
382	#88136	—	2	1	no	—
383	#88135	—	2	1	no	—
384	#88135	—	2	1	no	—
385	#88135	—	2	1	no	—
386	#88135	—	2	1	no	—
387	#88135	D₄	1	1	yes	characteristic
388	#88135	D₄	1	1	yes	characteristic
389	C₂²⋊C₄×D₁₃	—	2	1	no	—
390	C₂²⋊C₄×D₁₃	—	2	1	no	—
391	C₂²⋊C₄×D₁₃	—	2	1	no	—
392	C₂²⋊C₄×D₁₃	—	2	1	no	—
393	C₂²⋊C₄×D₁₃	—	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	C₂²⋊C₄×D₁₃	—	2	1	no	—
401	C₂²⋊C₄×D₁₃	—	2	1	no	—
402	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
403	C₂²⋊C₄×D₁₃	D₄	1	1	yes	characteristic
404	#88133	—	2	1	no	—
405	#88133	—	2	1	no	—
406	#88133	—	2	1	no	—
407	#88132	—	2	1	no	—
408	#88131	—	2	1	no	—
409	#88130	—	2	1	no	—
410	#88129	C₂³	1	1	yes	characteristic
411	C₄×D₅₂	—	2	1	no	—
412	C₄×D₅₂	C₂³	1	1	yes	characteristic
413	C₄×D₅₂	C₂³	1	1	yes	characteristic
414	C₄×D₅₂	C₂³	1	1	yes	characteristic, complemented
415	#88126	—	2	1	no	—
416	C₄²×D₁₃	—	2	1	no	—
417	C₄²×D₁₃	C₂³	1	1	yes	characteristic
418	#88124	C₂³	1	1	yes	characteristic, complemented
419	C₁₃×#107	C₂³	1	1	yes	characteristic, complemented
420	C₁₃×#107	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×#103	C₂³	1	1	yes	characteristic, complemented
424	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
425	C₁₃×#103	C₂³	1	1	yes	characteristic, complemented
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
430	C₁₃×#102	C₂³	1	1	yes	characteristic
431	C₁₃×#102	C₂³	1	1	yes	characteristic
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	#88075	C₂³	1	1	yes	characteristic, complemented
437	#88075	C₂³	1	1	yes	characteristic, complemented
438	#88075	C₂³	1	1	yes	characteristic, complemented
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
443	#88072	C₂³	1	1	yes	characteristic
444	#88072	C₂³	1	1	yes	characteristic
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	#88054	C₂³	1	1	yes	characteristic, complemented
466	#88054	C₂³	1	1	yes	characteristic, complemented
467	C₈×Dic₁₃	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	#88047	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	C₄×#1055	C₂³	1	1	yes	characteristic, complemented
487	C₂×#3297	—	13	1	no	maximal, Sylow
488	C₂⁴×C₁₃	—	2	1	no	—
489	C₂³×D₁₃	—	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	—	4	4	no	—
496	C₂³×D₁₃	—	4	4	no	—
497	C₂³×D₁₃	—	8	2	no	—
498	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
499	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
500	C₁₃×#41	—	2	2	no	—
501	C₁₃×#41	—	4	1	no	—
502	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
510	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
511	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
512	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
513	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₁₃	—	2	1	no	—
515	C₂²×C₄×C₁₃	—	2	1	no	—
516	C₂²×C₄×C₁₃	—	2	1	no	—
517	C₂²×C₄×C₁₃	—	2	1	no	—
518	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
520	C₂×C₂²⋊D₁₃	—	2	1	no	—
521	C₂×C₂²⋊D₁₃	—	2	1	no	—
522	C₂×C₂²⋊D₁₃	—	2	1	no	—
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	—	2	1	no	—
539	C₂²×Dic₁₃	—	2	1	no	—
540	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
541	C₂²×Dic₁₃	C₂×D₄	1	1	yes	characteristic
542	#6131	—	2	2	no	—
543	#6131	—	4	1	no	—
544	Q₈×D₁₃	—	2	2	no	—
545	Q₈×D₁₃	—	2	2	no	—
546	#6129	—	2	2	no	—
547	#6129	—	4	1	no	—
548	#6129	—	4	4	no	—
549	D₄×D₁₃	—	2	4	no	—
550	D₄×D₁₃	—	2	2	no	—
551	D₄×D₁₃	—	2	2	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	—	2	2	no	—
557	D₄×D₁₃	—	4	1	no	—
558	D₄×D₁₃	—	4	1	no	—
559	D₄×D₁₃	—	4	4	no	—
560	D₄×D₁₃	—	4	4	no	—
561	D₄×D₁₃	—	4	4	no	—
562	D₄×D₁₃	—	4	4	no	—
563	D₄×D₁₃	—	8	2	no	—
564	D₄×D₁₃	—	8	2	no	—
565	D₄×D₁₃	#41	1	4	yes	—
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	—	4	1	no	—
576	C₂×D₅₂	C₂×D₄	1	1	yes	characteristic
577	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
578	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
579	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
580	C₂×C₄×D₁₃	—	2	2	no	—
581	C₂×C₄×D₁₃	—	2	2	no	—
582	C₂×C₄×D₁₃	—	2	2	no	—
583	C₂×C₄×D₁₃	—	2	2	no	—
584	C₂×C₄×D₁₃	—	2	1	no	—
585	C₂×C₄×D₁₃	—	2	1	no	—
586	C₂×C₄×D₁₃	—	2	1	no	—
587	C₂×C₄×D₁₃	—	2	1	no	—
588	C₂×C₄×D₁₃	—	2	1	no	—
589	C₂×C₄×D₁₃	—	2	1	no	—
590	C₂×C₄×D₁₃	—	2	1	no	—
591	C₂×C₄×D₁₃	—	2	1	no	—
592	C₂×C₄×D₁₃	—	2	1	no	—
593	C₂×C₄×D₁₃	—	2	1	no	—
594	C₂×C₄×D₁₃	—	2	1	no	—
595	C₂×C₄×D₁₃	—	2	1	no	—
596	C₂×C₄×D₁₃	—	2	1	no	—
597	C₂×C₄×D₁₃	—	4	4	no	—
598	C₂×C₄×D₁₃	—	8	2	no	—
599	C₂×C₄×D₁₃	—	8	2	no	—
600	C₂×C₄×D₁₃	—	8	2	no	—
601	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
602	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
603	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
604	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
605	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
606	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
607	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
610	C₂×Dic₂₆	—	2	1	no	—
611	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
612	C₁₃×SD₁₆	—	4	1	no	—
613	C₁₃×D₈	—	2	2	no	—
614	C₁₃×D₈	—	4	1	no	—
615	C₂×C₈×C₁₃	—	4	1	no	—
616	C₂×C₈×C₁₃	—	4	1	no	—
617	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
618	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
619	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
620	C₂×C₈×C₁₃	C₂⁴	1	1	yes	characteristic
621	C₁₃×C₄⋊C₄	—	2	1	no	—
622	C₁₃×C₄⋊C₄	—	2	1	no	—
623	C₁₃×C₄⋊C₄	—	2	1	no	—
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	—	2	1	no	—
639	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
653	C₂²⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
654	#6106	—	4	1	no	—
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	#6103	—	2	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	C₄⋊Dic₁₃	—	2	1	no	—
683	C₄⋊Dic₁₃	—	2	1	no	—
684	C₄⋊Dic₁₃	—	2	1	no	—
685	C₄⋊Dic₁₃	—	2	1	no	—
686	C₄⋊Dic₁₃	C₂×D₄	1	1	yes	characteristic
687	C₄⋊Dic₁₃	C₂⁴	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	#6101	—	2	1	no	—
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	—	2	1	no	—
702	#6101	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
709	C₄×Dic₁₃	C₂×D₄	1	1	yes	characteristic
710	C₄×Dic₁₃	C₂⁴	1	1	yes	characteristic
711	C₂×#1055	—	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	C₈×D₁₃	—	2	2	no	—
721	C₈×D₁₃	—	2	2	no	—
722	C₈×D₁₃	—	2	2	no	—
723	C₈×D₁₃	—	2	2	no	—
724	C₈×D₁₃	—	4	1	no	—
725	C₈×D₁₃	—	4	1	no	—
726	C₈×D₁₃	—	4	1	no	—
727	C₈×D₁₃	—	4	1	no	—
728	C₂×#553	—	13	1	no	—
729	C₂×#546	—	13	1	no	—
730	#3297	—	13	1	no	—
731	#3297	—	13	1	no	—
732	#3297	—	13	1	no	—
733	#3297	—	13	1	no	—
734	#3297	—	13	1	no	—
735	#3297	—	13	1	no	—
736	#3297	—	13	1	no	—
737	#3297	—	13	1	no	—
738	#3297	—	13	1	no	—
739	#3297	—	13	1	no	—
740	#3297	—	13	1	no	—
741	#3297	—	13	1	no	—
742	#3297	—	13	1	no	—
743	#3297	—	13	1	no	—
744	#3297	—	13	1	no	—
745	#3297	D₁₃	1	1	yes	characteristic, direct product factor
746	C₂×#488	—	13	1	no	—
747	C₂×#484	—	13	1	no	—
748	C₂×#482	—	13	1	no	—
749	C₂×#478	—	13	1	no	—
750	C₂×#466	—	13	1	no	—
751	C₂×#465	—	13	1	no	—
752	C₂×#463	—	13	1	no	—
753	C₂×#449	—	13	1	no	—
754	C₂×#447	—	13	1	no	—
755	C₂×C₄×D₈	—	13	1	no	—
756	C₂×C₈×D₄	—	13	1	no	—
757	C₂×#416	—	13	1	no	—
758	C₂²×#102	—	13	1	no	—
759	C₂³×C₁₃	—	2	1	no	—
760	C₂³×C₁₃	—	2	1	no	—
761	C₂³×C₁₃	—	2	1	no	—
762	C₂³×C₁₃	—	4	2	no	—
763	C₂³×C₁₃	—	4	2	no	—
764	C₂³×C₁₃	—	8	1	no	—
765	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
766	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
767	C₂²×D₁₃	—	2	2	no	—
768	C₂²×D₁₃	—	2	2	no	—
769	C₂²×D₁₃	—	2	1	no	—
770	C₂²×D₁₃	—	2	2	no	—
771	C₂²×D₁₃	—	2	4	no	—
772	C₂²×D₁₃	—	2	2	no	—
773	C₂²×D₁₃	—	2	2	no	—
774	C₂²×D₁₃	—	2	1	no	—
775	C₂²×D₁₃	—	2	1	no	—
776	C₂²×D₁₃	—	4	2	no	—
777	C₂²×D₁₃	—	4	2	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	—	4	2	no	—
788	C₂²×D₁₃	—	4	2	no	—
789	C₂²×D₁₃	—	4	2	no	—
790	C₂²×D₁₃	—	8	1	no	—
791	C₂²×D₁₃	—	8	1	no	—
792	C₂²×D₁₃	—	8	16	no	—
793	C₂²×D₁₃	—	8	1	no	—
794	C₂²×D₁₃	#135	1	4	yes	—
795	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
796	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
797	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
798	Q₈×C₁₃	—	2	1	no	—
799	Q₈×C₁₃	—	2	1	no	—
800	D₄×C₁₃	—	2	2	no	—
801	D₄×C₁₃	—	2	1	no	—
802	D₄×C₁₃	—	2	1	no	—
803	D₄×C₁₃	—	2	1	no	—
804	D₄×C₁₃	—	2	1	no	—
805	D₄×C₁₃	—	2	1	no	—
806	D₄×C₁₃	—	4	2	no	—
807	D₄×C₁₃	—	4	2	no	—
808	D₄×C₁₃	—	4	2	no	—
809	D₄×C₁₃	—	8	1	no	—
810	D₄×C₁₃	—	8	1	no	—
811	D₄×C₁₃	C₂×#41	1	2	yes	—
812	C₂×C₄×C₁₃	—	2	1	no	—
813	C₂×C₄×C₁₃	—	2	1	no	—
814	C₂×C₄×C₁₃	—	2	1	no	—
815	C₂×C₄×C₁₃	—	2	1	no	—
816	C₂×C₄×C₁₃	—	2	1	no	—
817	C₂×C₄×C₁₃	—	2	1	no	—
818	C₂×C₄×C₁₃	—	2	1	no	—
819	C₂×C₄×C₁₃	—	2	1	no	—
820	C₂×C₄×C₁₃	—	2	1	no	—
821	C₂×C₄×C₁₃	—	4	2	no	—
822	C₂×C₄×C₁₃	—	8	1	no	—
823	C₂×C₄×C₁₃	—	8	1	no	—
824	C₂×C₄×C₁₃	—	8	1	no	—
825	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
827	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
828	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
829	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
830	C₂²⋊D₁₃	—	2	2	no	—
831	C₂²⋊D₁₃	—	2	2	no	—
832	C₂²⋊D₁₃	—	2	4	no	—
833	C₂²⋊D₁₃	—	4	2	no	—
834	C₂²⋊D₁₃	—	4	2	no	—
835	C₂²⋊D₁₃	—	4	2	no	—
836	C₂²⋊D₁₃	—	4	2	no	—
837	C₂²⋊D₁₃	—	4	2	no	—
838	C₂²⋊D₁₃	—	4	2	no	—
839	C₂²⋊D₁₃	—	4	2	no	—
840	C₂²⋊D₁₃	—	4	2	no	—
841	C₂²⋊D₁₃	—	8	1	no	—
842	C₂²⋊D₁₃	—	8	1	no	—
843	C₂²⋊D₁₃	—	8	1	no	—
844	C₂²⋊D₁₃	—	8	1	no	—
845	C₂×Dic₁₃	—	2	2	no	—
846	C₂×Dic₁₃	—	2	2	no	—
847	C₂×Dic₁₃	—	2	1	no	—
848	C₂×Dic₁₃	—	2	1	no	—
849	C₂×Dic₁₃	—	2	1	no	—
850	C₂×Dic₁₃	—	2	1	no	—
851	C₂×Dic₁₃	—	2	1	no	—
852	C₂×Dic₁₃	—	4	2	no	—
853	C₂×Dic₁₃	—	8	1	no	—
854	C₂×Dic₁₃	—	8	1	no	—
855	C₂×Dic₁₃	—	8	1	no	—
856	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
857	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
858	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
859	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
860	C₂×Dic₁₃	C₂²×D₄	1	1	yes	characteristic
861	D₅₂	—	2	2	no	—
862	D₅₂	—	2	1	no	—
863	D₅₂	—	2	1	no	—
864	D₅₂	—	2	1	no	—
865	D₅₂	—	2	1	no	—
866	D₅₂	—	2	1	no	—
867	D₅₂	—	4	2	no	—
868	D₅₂	—	4	2	no	—
869	D₅₂	—	4	2	no	—
870	D₅₂	—	8	1	no	—
871	D₅₂	—	8	1	no	—
872	D₅₂	C₂×#41	1	2	yes	—
873	C₄×D₁₃	—	2	2	no	—
874	C₄×D₁₃	—	2	2	no	—
875	C₄×D₁₃	—	2	2	no	—
876	C₄×D₁₃	—	2	2	no	—
877	C₄×D₁₃	—	2	1	no	—
878	C₄×D₁₃	—	2	1	no	—
879	C₄×D₁₃	—	2	1	no	—
880	C₄×D₁₃	—	2	1	no	—
881	C₄×D₁₃	—	2	2	no	—
882	C₄×D₁₃	—	2	2	no	—
883	C₄×D₁₃	—	4	2	no	—
884	C₄×D₁₃	—	4	2	no	—
885	C₄×D₁₃	—	4	2	no	—
886	C₄×D₁₃	—	4	2	no	—
887	C₄×D₁₃	—	4	2	no	—
888	C₄×D₁₃	—	4	2	no	—
889	C₄×D₁₃	—	4	2	no	—
890	C₄×D₁₃	—	8	1	no	—
891	C₄×D₁₃	—	8	1	no	—
892	C₄×D₁₃	—	8	1	no	—
893	C₄×D₁₃	—	8	1	no	—
894	C₄×D₁₃	—	8	1	no	—
895	C₄×D₁₃	—	8	1	no	—
896	C₄×D₁₃	C₂×#41	1	2	yes	—
897	C₄×D₁₃	H(5,𝔽₂)	1	2	yes	—
898	Dic₂₆	—	2	1	no	—
899	Dic₂₆	—	2	1	no	—
900	Dic₂₆	—	4	2	no	—
901	C₈×C₁₃	—	2	1	no	—
902	C₈×C₁₃	—	2	1	no	—
903	C₈×C₁₃	—	2	1	no	—
904	C₈×C₁₃	—	2	1	no	—
905	#1055	—	2	1	no	—
906	#1055	—	2	1	no	—
907	#1055	—	2	1	no	—
908	#1055	—	2	1	no	—
909	C₂²×#41	—	13	1	no	—
910	C₂³×D₄	—	13	1	no	—
911	C₂²×SD₁₆	—	13	1	no	—
912	C₂²×D₈	—	13	1	no	—
913	C₂²×D₈	—	13	1	no	—
914	C₂³×C₈	—	13	1	no	—
915	C₂³×C₈	—	13	1	no	—
916	#553	—	13	1	no	—
917	#553	—	13	1	no	—
918	#553	—	13	1	no	—
919	#553	—	13	1	no	—
920	#553	—	13	1	no	—
921	#553	—	13	1	no	—
922	#553	—	13	1	no	—
923	#553	—	26	1	no	—
924	#553	—	26	1	no	—
925	#553	—	26	1	no	—
926	#553	—	26	1	no	—
927	#553	C₂×D₁₃	1	1	yes	characteristic, complemented
928	#546	—	13	1	no	—
929	#546	—	13	1	no	—
930	#546	—	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	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
940	C₂×#126	—	26	1	no	—
941	C₂×#125	—	13	1	no	—
942	C₂×#124	—	13	1	no	—
943	C₂×#123	—	26	1	no	—
944	C₂×#123	—	26	1	no	—
945	C₂×C₂²⋊Q₈	—	13	1	no	—
946	C₂×#121	—	13	1	no	—
947	C₂×#121	—	13	1	no	—
948	C₂×#121	—	13	1	no	—
949	C₂×#121	—	26	1	no	—
950	C₂×#121	—	26	1	no	—
951	C₂×#120	—	26	1	no	—
952	C₂×C₄×D₄	—	13	1	no	—
953	C₂×C₄×D₄	—	13	1	no	—
954	C₂×C₄×D₄	—	13	1	no	—
955	C₂×C₄×D₄	—	26	1	no	—
956	C₂×#117	—	13	1	no	—
957	C₂²×C₄⋊C₄	—	13	1	no	—
958	C₂²×C₂²⋊C₄	—	26	1	no	—
959	#488	—	13	1	no	—
960	#488	—	13	1	no	—
961	#488	—	13	1	no	—
962	#488	—	13	1	no	—
963	#488	—	13	1	no	—
964	#488	—	13	1	no	—
965	#488	—	13	1	no	—
966	#488	C₂×D₁₃	1	1	yes	characteristic, complemented
967	#484	—	13	1	no	—
968	#484	—	13	1	no	—
969	#484	—	13	1	no	—
970	#484	—	13	1	no	—
971	#484	—	13	1	no	—
972	#484	—	13	1	no	—
973	#484	—	13	1	no	—
974	#484	C₂×D₁₃	1	1	yes	characteristic, complemented
975	#482	—	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	—	13	1	no	—
981	#482	—	13	1	no	—
982	#482	C₂×D₁₃	1	1	yes	characteristic, complemented
983	#478	—	13	1	no	—
984	#478	—	13	1	no	—
985	#478	—	13	1	no	—
986	#478	—	13	1	no	—
987	#478	—	13	1	no	—
988	#478	—	13	1	no	—
989	#478	—	13	1	no	—
990	#478	C₂×D₁₃	1	1	yes	characteristic, complemented
991	#466	—	13	1	no	—
992	#466	—	13	1	no	—
993	#466	—	13	1	no	—
994	#466	—	13	1	no	—
995	#466	—	13	1	no	—
996	#466	—	13	1	no	—
997	#466	—	13	1	no	—
998	#466	C₂×D₁₃	1	1	yes	characteristic, complemented
999	#465	—	13	1	no	—
1000	#465	—	13	1	no	—
1001	#465	—	13	1	no	—
1002	#465	—	13	1	no	—
1003	#465	—	13	1	no	—
1004	#465	—	13	1	no	—
1005	#465	—	13	1	no	—
1006	#465	C₂×D₁₃	1	1	yes	characteristic, complemented
1007	#463	—	13	1	no	—
1008	#463	—	13	1	no	—
1009	#463	—	13	1	no	—
1010	#463	—	13	1	no	—
1011	#463	—	13	1	no	—
1012	#463	—	13	1	no	—
1013	#463	—	13	1	no	—
1014	#463	C₂×D₁₃	1	1	yes	characteristic, complemented
1015	#449	—	13	1	no	—
1016	#449	—	13	1	no	—
1017	#449	—	13	1	no	—
1018	#449	—	13	1	no	—
1019	#449	—	13	1	no	—
1020	#449	—	13	1	no	—
1021	#449	—	13	1	no	—
1022	#449	C₂×D₁₃	1	1	yes	characteristic, complemented
1023	#447	—	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	C₂×D₁₃	1	1	yes	characteristic, complemented
1031	C₄×D₈	—	13	1	no	—
1032	C₄×D₈	—	13	1	no	—
1033	C₄×D₈	—	13	1	no	—
1034	C₄×D₈	—	13	1	no	—
1035	C₄×D₈	—	13	1	no	—
1036	C₄×D₈	—	13	1	no	—
1037	C₄×D₈	—	13	1	no	—
1038	C₄×D₈	C₂×D₁₃	1	1	yes	characteristic, complemented
1039	C₈×D₄	—	13	1	no	—
1040	C₈×D₄	—	13	1	no	—
1041	C₈×D₄	—	13	1	no	—
1042	C₈×D₄	—	13	1	no	—
1043	C₈×D₄	—	13	1	no	—
1044	C₈×D₄	—	13	1	no	—
1045	C₈×D₄	—	13	1	no	—
1046	C₈×D₄	C₂×D₁₃	1	1	yes	characteristic, complemented
1047	C₂×#107	—	13	1	no	—
1048	C₂×#107	—	13	1	no	—
1049	C₂×#106	—	13	1	no	—
1050	C₂×C₄⋊C₈	—	13	1	no	—
1051	#416	—	13	1	no	—
1052	#416	—	13	1	no	—
1053	#416	—	13	1	no	—
1054	#416	—	13	1	no	—
1055	#416	—	13	1	no	—
1056	#416	—	13	1	no	—
1057	#416	—	13	1	no	—
1058	#416	C₂×D₁₃	1	1	yes	characteristic, complemented
1059	C₂×#103	—	13	1	no	—
1060	C₂×#103	—	13	1	no	—
1061	C₂×#103	—	13	1	no	—
1062	C₂×#102	—	13	1	no	—
1063	C₂×#102	—	13	1	no	—
1064	C₂×#102	—	13	1	no	—
1065	C₂×#102	—	13	1	no	—
1066	C₂×#102	—	13	1	no	—
1067	C₂×#102	—	13	1	no	—
1068	C₂×#102	—	13	1	no	—
1069	C₂×#102	—	13	1	no	—
1070	C₂×#102	—	13	1	no	—
1071	C₂×#102	—	13	1	no	—
1072	C₂×#102	—	13	1	no	—
1073	C₂×#102	—	13	1	no	—
1074	C₂×#102	—	13	1	no	—
1075	C₂×#102	—	13	1	no	—
1076	C₂×#102	C₂×D₁₃	1	1	yes	characteristic, complemented
1077	C₂×C₂²⋊C₈	—	13	1	no	—
1078	C₂×C₂²⋊C₈	—	13	1	no	—
1079	C₂×C₄×C₈	—	13	1	no	—
1080	C₂²×C₁₃	—	2	1	no	—
1081	C₂²×C₁₃	—	2	1	no	—
1082	C₂²×C₁₃	—	2	1	no	—
1083	C₂²×C₁₃	—	2	2	no	—
1084	C₂²×C₁₃	—	2	1	no	—
1085	C₂²×C₁₃	—	2	1	no	—
1086	C₂²×C₁₃	—	4	1	no	—
1087	C₂²×C₁₃	—	4	1	no	—
1088	C₂²×C₁₃	—	4	1	no	—
1089	C₂²×C₁₃	—	4	1	no	—
1090	C₂²×C₁₃	—	4	1	no	—
1091	C₂²×C₁₃	—	4	1	no	—
1092	C₂²×C₁₃	—	4	1	no	—
1093	C₂²×C₁₃	—	4	1	no	—
1094	C₂²×C₁₃	—	8	4	no	—
1095	C₂²×C₁₃	C₂×#135	1	2	yes	—
1096	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
1097	C₂×D₁₃	—	2	1	no	—
1098	C₂×D₁₃	—	2	1	no	—
1099	C₂×D₁₃	—	2	8	no	—
1100	C₂×D₁₃	—	2	1	no	—
1101	C₂×D₁₃	—	2	2	no	—
1102	C₂×D₁₃	—	2	1	no	—
1103	C₂×D₁₃	—	2	1	no	—
1104	C₂×D₁₃	—	4	1	no	—
1105	C₂×D₁₃	—	4	1	no	—
1106	C₂×D₁₃	—	4	4	no	—
1107	C₂×D₁₃	—	4	8	no	—
1108	C₂×D₁₃	—	4	1	no	—
1109	C₂×D₁₃	—	4	1	no	—
1110	C₂×D₁₃	—	4	1	no	—
1111	C₂×D₁₃	—	4	1	no	—
1112	C₂×D₁₃	—	4	1	no	—
1113	C₂×D₁₃	—	4	1	no	—
1114	C₂×D₁₃	—	8	4	no	—
1115	C₂×D₁₃	—	8	4	no	—
1116	C₂×D₁₃	—	8	4	no	—
1117	C₂×D₁₃	—	8	4	no	—
1118	C₂×D₁₃	—	8	4	no	—
1119	C₂×D₁₃	#546	1	2	yes	—
1120	C₂×D₁₃	C₂×#135	1	2	yes	—
1121	C₂×D₁₃	C₂×#135	1	2	yes	—
1122	C₂×D₁₃	#576	1	2	yes	—
1123	C₄×C₁₃	—	2	1	no	—
1124	C₄×C₁₃	—	2	1	no	—
1125	C₄×C₁₃	—	2	1	no	—
1126	C₄×C₁₃	—	2	1	no	—
1127	C₄×C₁₃	—	4	1	no	—
1128	C₄×C₁₃	—	4	1	no	—
1129	C₄×C₁₃	—	4	1	no	—
1130	C₄×C₁₃	—	4	1	no	—
1131	C₄×C₁₃	—	4	1	no	—
1132	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
1133	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1134	Dic₁₃	—	2	1	no	—
1135	Dic₁₃	—	2	1	no	—
1136	Dic₁₃	—	2	1	no	—
1137	Dic₁₃	—	2	1	no	—
1138	Dic₁₃	—	4	1	no	—
1139	Dic₁₃	—	4	1	no	—
1140	Dic₁₃	—	4	1	no	—
1141	Dic₁₃	—	4	1	no	—
1142	Dic₁₃	—	4	1	no	—
1143	Dic₁₃	#546	1	2	yes	—
1144	C₂⁵	—	26	1	no	—
1145	C₂×#41	—	13	1	no	—
1146	C₂×#41	—	13	1	no	—
1147	C₂×#41	—	13	1	no	—
1148	C₂×#41	—	26	1	no	—
1149	C₂×#41	—	26	1	no	—
1150	C₂×#41	—	26	4	no	—
1151	C₂×#41	—	52	2	no	—
1152	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1153	C₂²×Q₈	—	13	1	no	—
1154	C₂²×D₄	—	13	1	no	—
1155	C₂²×D₄	—	13	1	no	—
1156	C₂²×D₄	—	13	1	no	—
1157	C₂²×D₄	—	13	1	no	—
1158	C₂²×D₄	—	13	1	no	—
1159	C₂²×D₄	—	13	1	no	—
1160	C₂²×D₄	—	13	1	no	—
1161	C₂²×D₄	—	26	1	no	—
1162	C₂²×D₄	—	26	1	no	—
1163	C₂²×D₄	—	26	1	no	—
1164	C₂²×D₄	—	26	4	no	—
1165	C₂²×D₄	—	26	1	no	—
1166	C₂²×D₄	—	26	1	no	—
1167	C₂²×D₄	—	26	1	no	—
1168	C₂²×D₄	—	26	1	no	—
1169	C₂²×D₄	—	52	2	no	—
1170	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1171	C₂³×C₄	—	13	1	no	—
1172	C₂³×C₄	—	13	1	no	—
1173	C₂³×C₄	—	26	1	no	—
1174	C₂³×C₄	—	26	1	no	—
1175	C₂³×C₄	—	26	1	no	—
1176	C₂³×C₄	—	26	1	no	—
1177	C₂×SD₁₆	—	13	1	no	—
1178	C₂×SD₁₆	—	13	1	no	—
1179	C₂×SD₁₆	—	13	1	no	—
1180	C₂×SD₁₆	—	52	2	no	—
1181	C₂×SD₁₆	C₂²×D₁₃	1	1	yes	characteristic, complemented
1182	C₂×D₈	—	13	1	no	—
1183	C₂×D₈	—	13	1	no	—
1184	C₂×D₈	—	13	1	no	—
1185	C₂×D₈	—	13	1	no	—
1186	C₂×D₈	—	13	1	no	—
1187	C₂×D₈	—	13	1	no	—
1188	C₂×D₈	—	26	4	no	—
1189	C₂×D₈	—	52	2	no	—
1190	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1191	C₂×D₈	C₂²×D₁₃	1	1	yes	characteristic
1192	C₂²×C₈	—	13	1	no	—
1193	C₂²×C₈	—	13	1	no	—
1194	C₂²×C₈	—	13	1	no	—
1195	C₂²×C₈	—	13	1	no	—
1196	C₂²×C₈	—	13	1	no	—
1197	C₂²×C₈	—	13	1	no	—
1198	C₂²×C₈	—	13	1	no	—
1199	C₂²×C₈	—	13	1	no	—
1200	C₂²×C₈	—	13	1	no	—
1201	C₂²×C₈	—	13	1	no	—
1202	C₂²×C₈	—	52	2	no	—
1203	C₂²×C₈	—	52	2	no	—
1204	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic
1205	C₂²×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1206	#126	—	2	1	no	—
1207	#126	—	26	1	no	—
1208	#126	—	26	1	no	—
1209	#126	—	26	1	no	—
1210	#126	—	26	1	no	—
1211	#126	—	26	1	no	—
1212	#126	—	26	1	no	—
1213	#126	—	26	1	no	—
1214	#125	—	13	1	no	—
1215	#125	—	13	1	no	—
1216	#125	—	13	1	no	—
1217	#125	—	26	1	no	—
1218	#125	—	26	1	no	—
1219	#125	C₂²×D₁₃	1	1	yes	characteristic, complemented
1220	#124	—	13	1	no	—
1221	#124	—	13	1	no	—
1222	#124	—	13	1	no	—
1223	#124	—	26	1	no	—
1224	#124	—	26	1	no	—
1225	#124	C₂²×D₁₃	1	1	yes	characteristic
1226	#123	—	2	1	no	—
1227	#123	—	2	1	no	—
1228	#123	—	26	1	no	—
1229	#123	—	26	1	no	—
1230	#123	—	26	1	no	—
1231	#123	—	26	1	no	—
1232	#123	—	26	1	no	—
1233	#123	—	26	1	no	—
1234	#123	—	26	1	no	—
1235	#123	—	26	1	no	—
1236	#123	—	26	1	no	—
1237	#123	—	26	1	no	—
1238	#123	—	26	1	no	—
1239	#123	—	26	1	no	—
1240	#123	—	26	1	no	—
1241	#123	—	26	1	no	—
1242	C₂²⋊Q₈	—	13	1	no	—
1243	C₂²⋊Q₈	—	13	1	no	—
1244	C₂²⋊Q₈	—	13	1	no	—
1245	C₂²⋊Q₈	—	26	1	no	—
1246	C₂²⋊Q₈	—	26	1	no	—
1247	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1248	#121	—	2	1	no	—
1249	#121	—	2	1	no	—
1250	#121	—	13	1	no	—
1251	#121	—	13	1	no	—
1252	#121	—	13	1	no	—
1253	#121	—	13	1	no	—
1254	#121	—	13	1	no	—
1255	#121	—	13	1	no	—
1256	#121	—	13	1	no	—
1257	#121	—	13	1	no	—
1258	#121	—	13	1	no	—
1259	#121	—	26	1	no	—
1260	#121	—	26	1	no	—
1261	#121	—	26	1	no	—
1262	#121	—	26	1	no	—
1263	#121	—	26	1	no	—
1264	#121	—	26	1	no	—
1265	#121	—	26	1	no	—
1266	#121	—	26	1	no	—
1267	#121	—	26	1	no	—
1268	#121	—	26	1	no	—
1269	#121	—	26	1	no	—
1270	#121	—	26	1	no	—
1271	#121	—	26	1	no	—
1272	#121	—	26	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	C₂²×D₁₃	1	1	yes	characteristic
1280	#121	C₂²×D₁₃	1	1	yes	characteristic
1281	#121	C₂²×D₁₃	1	1	yes	characteristic, complemented
1282	#120	—	2	1	no	—
1283	#120	—	26	1	no	—
1284	#120	—	26	1	no	—
1285	#120	—	26	1	no	—
1286	#120	—	26	1	no	—
1287	#120	—	26	1	no	—
1288	#120	—	26	1	no	—
1289	#120	—	26	1	no	—
1290	C₄×D₄	—	2	1	no	—
1291	C₄×D₄	—	13	1	no	—
1292	C₄×D₄	—	13	1	no	—
1293	C₄×D₄	—	13	1	no	—
1294	C₄×D₄	—	13	1	no	—
1295	C₄×D₄	—	13	1	no	—
1296	C₄×D₄	—	13	1	no	—
1297	C₄×D₄	—	13	1	no	—
1298	C₄×D₄	—	13	1	no	—
1299	C₄×D₄	—	13	1	no	—
1300	C₄×D₄	—	13	1	no	—
1301	C₄×D₄	—	13	1	no	—
1302	C₄×D₄	—	13	1	no	—
1303	C₄×D₄	—	13	1	no	—
1304	C₄×D₄	—	26	1	no	—
1305	C₄×D₄	—	26	1	no	—
1306	C₄×D₄	—	26	1	no	—
1307	C₄×D₄	—	26	1	no	—
1308	C₄×D₄	—	26	1	no	—
1309	C₄×D₄	—	26	1	no	—
1310	C₄×D₄	—	26	1	no	—
1311	C₄×D₄	—	26	1	no	—
1312	C₄×D₄	—	26	1	no	—
1313	C₄×D₄	—	26	1	no	—
1314	C₄×D₄	—	26	1	no	—
1315	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1316	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1317	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic, complemented
1318	#117	—	13	1	no	—
1319	#117	—	13	1	no	—
1320	#117	—	13	1	no	—
1321	#117	—	26	1	no	—
1322	#117	—	26	1	no	—
1323	#117	C₂²×D₁₃	1	1	yes	characteristic, complemented
1324	C₂×C₄⋊C₄	—	13	1	no	—
1325	C₂×C₄⋊C₄	—	13	1	no	—
1326	C₂×C₄⋊C₄	—	13	1	no	—
1327	C₂×C₄⋊C₄	—	13	1	no	—
1328	C₂×C₄⋊C₄	—	13	1	no	—
1329	C₂×C₄⋊C₄	—	13	1	no	—
1330	C₂×C₄⋊C₄	—	13	1	no	—
1331	C₂×C₄⋊C₄	—	13	1	no	—
1332	C₂×C₄⋊C₄	—	26	1	no	—
1333	C₂×C₄⋊C₄	—	26	1	no	—
1334	C₂×C₄⋊C₄	—	26	1	no	—
1335	C₂×C₄⋊C₄	—	26	1	no	—
1336	C₂×C₄⋊C₄	—	26	1	no	—
1337	C₂×C₄⋊C₄	—	26	1	no	—
1338	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1339	C₂×C₂²⋊C₄	—	2	1	no	—
1340	C₂×C₂²⋊C₄	—	13	1	no	—
1341	C₂×C₂²⋊C₄	—	13	1	no	—
1342	C₂×C₂²⋊C₄	—	26	1	no	—
1343	C₂×C₂²⋊C₄	—	26	1	no	—
1344	C₂×C₂²⋊C₄	—	26	1	no	—
1345	C₂×C₂²⋊C₄	—	26	1	no	—
1346	C₂×C₂²⋊C₄	—	26	1	no	—
1347	C₂×C₂²⋊C₄	—	26	1	no	—
1348	C₂×C₂²⋊C₄	—	26	1	no	—
1349	C₂×C₂²⋊C₄	—	26	1	no	—
1350	C₂×C₂²⋊C₄	—	26	1	no	—
1351	C₂×C₂²⋊C₄	—	26	1	no	—
1352	C₂×C₂²⋊C₄	—	26	1	no	—
1353	C₂×C₂²⋊C₄	—	26	1	no	—
1354	C₂×C₂²⋊C₄	—	26	1	no	—
1355	C₂×C₂²⋊C₄	—	26	1	no	—
1356	C₂×C₂²⋊C₄	—	26	1	no	—
1357	C₂×C₂²⋊C₄	—	26	1	no	—
1358	C₂×C₄²	—	13	1	no	—
1359	C₂×C₄²	—	26	1	no	—
1360	#107	—	13	1	no	—
1361	#107	—	13	1	no	—
1362	#107	—	13	1	no	—
1363	#107	—	13	1	no	—
1364	#107	—	13	1	no	—
1365	#107	—	13	1	no	—
1366	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1367	#107	C₂²×D₁₃	1	1	yes	characteristic, complemented
1368	#106	—	13	1	no	—
1369	#106	—	13	1	no	—
1370	#106	—	13	1	no	—
1371	#106	C₂²×D₁₃	1	1	yes	characteristic, complemented
1372	C₄⋊C₈	—	13	1	no	—
1373	C₄⋊C₈	—	13	1	no	—
1374	C₄⋊C₈	—	13	1	no	—
1375	C₄⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1376	#103	—	13	1	no	—
1377	#103	—	13	1	no	—
1378	#103	—	13	1	no	—
1379	#103	—	13	1	no	—
1380	#103	—	13	1	no	—
1381	#103	—	13	1	no	—
1382	#103	—	13	1	no	—
1383	#103	—	13	1	no	—
1384	#103	—	13	1	no	—
1385	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1386	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1387	#103	C₂²×D₁₃	1	1	yes	characteristic, complemented
1388	#102	—	13	1	no	—
1389	#102	—	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	C₂²×D₁₃	1	1	yes	characteristic
1410	#102	C₂²×D₁₃	1	1	yes	characteristic
1411	#102	C₂²×D₁₃	1	1	yes	characteristic
1412	#102	C₂²×D₁₃	1	1	yes	characteristic
1413	#102	C₂²×D₁₃	1	1	yes	characteristic
1414	#102	C₂²×D₁₃	1	1	yes	characteristic
1415	#102	C₂²×D₁₃	1	1	yes	characteristic, complemented
1416	C₂²⋊C₈	—	13	1	no	—
1417	C₂²⋊C₈	—	13	1	no	—
1418	C₂²⋊C₈	—	13	1	no	—
1419	C₂²⋊C₈	—	13	1	no	—
1420	C₂²⋊C₈	—	13	1	no	—
1421	C₂²⋊C₈	—	13	1	no	—
1422	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic
1423	C₂²⋊C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1424	C₄×C₈	—	13	1	no	—
1425	C₄×C₈	—	13	1	no	—
1426	C₄×C₈	—	13	1	no	—
1427	C₄×C₈	C₂²×D₁₃	1	1	yes	characteristic, complemented
1428	C₂×C₁₃	—	2	2	no	—
1429	C₂×C₁₃	—	4	2	no	—
1430	C₂×C₁₃	—	4	1	no	—
1431	C₂×C₁₃	—	8	1	no	—
1432	C₂×C₁₃	—	8	1	no	—
1433	C₂×C₁₃	C₂×#546	1	1	yes	characteristic
1434	C₂×C₁₃	C₂²×#135	1	1	yes	characteristic
1435	C₂×C₁₃	C₂×#576	1	1	yes	characteristic
1436	D₁₃	—	2	2	no	—
1437	D₁₃	—	4	1	no	—
1438	D₁₃	—	4	2	no	—
1439	D₁₃	—	8	1	no	—
1440	D₁₃	—	8	1	no	—
1441	D₁₃	#3297	1	4	yes	direct product factor
1442	C₂⁴	—	2	1	no	—
1443	C₂⁴	—	13	1	no	—
1444	C₂⁴	—	13	1	no	—
1445	C₂⁴	—	26	1	no	—
1446	C₂⁴	—	26	1	no	—
1447	C₂⁴	—	26	1	no	—
1448	C₂⁴	—	26	1	no	—
1449	C₂⁴	—	26	1	no	—
1450	C₂⁴	—	26	1	no	—
1451	C₂⁴	—	52	4	no	—
1452	C₂⁴	—	52	4	no	—
1453	C₂⁴	—	104	2	no	—
1454	#41	—	2	2	no	—
1455	#41	—	4	1	no	—
1456	#41	—	26	2	no	—
1457	#41	—	26	2	no	—
1458	#41	—	26	2	no	—
1459	#41	—	52	1	no	—
1460	#41	—	52	4	no	—
1461	#41	—	52	1	no	—
1462	#41	—	52	4	no	—
1463	#41	—	52	1	no	—
1464	C₂×Q₈	—	13	1	no	—
1465	C₂×Q₈	—	26	1	no	—
1466	C₂×Q₈	—	26	2	no	—
1467	C₂×Q₈	—	26	2	no	—
1468	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1469	C₂×D₄	—	2	2	no	—
1470	C₂×D₄	—	2	1	no	—
1471	C₂×D₄	—	2	1	no	—
1472	C₂×D₄	—	2	1	no	—
1473	C₂×D₄	—	2	1	no	—
1474	C₂×D₄	—	2	1	no	—
1475	C₂×D₄	—	4	1	no	—
1476	C₂×D₄	—	13	4	no	—
1477	C₂×D₄	—	13	1	no	—
1478	C₂×D₄	—	13	1	no	—
1479	C₂×D₄	—	13	1	no	—
1480	C₂×D₄	—	13	1	no	—
1481	C₂×D₄	—	13	1	no	—
1482	C₂×D₄	—	13	1	no	—
1483	C₂×D₄	—	26	2	no	—
1484	C₂×D₄	—	26	1	no	—
1485	C₂×D₄	—	26	1	no	—
1486	C₂×D₄	—	26	1	no	—
1487	C₂×D₄	—	26	1	no	—
1488	C₂×D₄	—	26	2	no	—
1489	C₂×D₄	—	26	2	no	—
1490	C₂×D₄	—	26	2	no	—
1491	C₂×D₄	—	26	2	no	—
1492	C₂×D₄	—	26	2	no	—
1493	C₂×D₄	—	26	1	no	—
1494	C₂×D₄	—	26	1	no	—
1495	C₂×D₄	—	26	1	no	—
1496	C₂×D₄	—	26	1	no	—
1497	C₂×D₄	—	26	1	no	—
1498	C₂×D₄	—	26	2	no	—
1499	C₂×D₄	—	26	4	no	—
1500	C₂×D₄	—	26	2	no	—
1501	C₂×D₄	—	26	1	no	—
1502	C₂×D₄	—	26	1	no	—
1503	C₂×D₄	—	26	1	no	—
1504	C₂×D₄	—	26	1	no	—
1505	C₂×D₄	—	26	1	no	—
1506	C₂×D₄	—	26	1	no	—
1507	C₂×D₄	—	26	1	no	—
1508	C₂×D₄	—	26	1	no	—
1509	C₂×D₄	—	26	1	no	—
1510	C₂×D₄	—	52	1	no	—
1511	C₂×D₄	—	52	1	no	—
1512	C₂×D₄	—	52	1	no	—
1513	C₂×D₄	—	52	4	no	—
1514	C₂×D₄	—	52	4	no	—
1515	C₂×D₄	—	52	4	no	—
1516	C₂×D₄	—	52	4	no	—
1517	C₂×D₄	—	52	4	no	—
1518	C₂×D₄	—	104	2	no	—
1519	C₂×D₄	—	104	2	no	—
1520	C₂×D₄	D₄×D₁₃	1	1	yes	characteristic
1521	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1522	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1523	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1524	C₂²×C₄	—	2	1	no	—
1525	C₂²×C₄	—	2	1	no	—
1526	C₂²×C₄	—	2	1	no	—
1527	C₂²×C₄	—	2	1	no	—
1528	C₂²×C₄	—	13	1	no	—
1529	C₂²×C₄	—	13	1	no	—
1530	C₂²×C₄	—	13	1	no	—
1531	C₂²×C₄	—	13	1	no	—
1532	C₂²×C₄	—	13	1	no	—
1533	C₂²×C₄	—	13	1	no	—
1534	C₂²×C₄	—	13	1	no	—
1535	C₂²×C₄	—	13	1	no	—
1536	C₂²×C₄	—	13	1	no	—
1537	C₂²×C₄	—	13	1	no	—
1538	C₂²×C₄	—	13	1	no	—
1539	C₂²×C₄	—	26	2	no	—
1540	C₂²×C₄	—	26	2	no	—
1541	C₂²×C₄	—	26	2	no	—
1542	C₂²×C₄	—	26	2	no	—
1543	C₂²×C₄	—	26	1	no	—
1544	C₂²×C₄	—	26	1	no	—
1545	C₂²×C₄	—	26	1	no	—
1546	C₂²×C₄	—	26	1	no	—
1547	C₂²×C₄	—	26	1	no	—
1548	C₂²×C₄	—	26	1	no	—
1549	C₂²×C₄	—	26	1	no	—
1550	C₂²×C₄	—	26	1	no	—
1551	C₂²×C₄	—	26	1	no	—
1552	C₂²×C₄	—	26	1	no	—
1553	C₂²×C₄	—	26	1	no	—
1554	C₂²×C₄	—	26	1	no	—
1555	C₂²×C₄	—	26	1	no	—
1556	C₂²×C₄	—	26	1	no	—
1557	C₂²×C₄	—	26	1	no	—
1558	C₂²×C₄	—	26	1	no	—
1559	C₂²×C₄	—	26	1	no	—
1560	C₂²×C₄	—	52	4	no	—
1561	C₂²×C₄	—	104	2	no	—
1562	C₂²×C₄	—	104	2	no	—
1563	C₂²×C₄	—	104	2	no	—
1564	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1565	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1566	SD₁₆	—	4	1	no	—
1567	SD₁₆	—	52	1	no	—
1568	SD₁₆	—	52	1	no	—
1569	SD₁₆	—	52	1	no	—
1570	D₈	—	2	2	no	—
1571	D₈	—	4	1	no	—
1572	D₈	—	26	2	no	—
1573	D₈	—	26	2	no	—
1574	D₈	—	26	2	no	—
1575	D₈	—	52	1	no	—
1576	D₈	—	52	1	no	—
1577	D₈	—	52	1	no	—
1578	C₂×C₈	—	4	1	no	—
1579	C₂×C₈	—	4	1	no	—
1580	C₂×C₈	—	13	1	no	—
1581	C₂×C₈	—	13	1	no	—
1582	C₂×C₈	—	13	1	no	—
1583	C₂×C₈	—	13	1	no	—
1584	C₂×C₈	—	26	2	no	—
1585	C₂×C₈	—	26	2	no	—
1586	C₂×C₈	—	26	2	no	—
1587	C₂×C₈	—	26	2	no	—
1588	C₂×C₈	—	52	1	no	—
1589	C₂×C₈	—	52	1	no	—
1590	C₂×C₈	—	52	1	no	—
1591	C₂×C₈	—	52	1	no	—
1592	C₂×C₈	—	52	1	no	—
1593	C₂×C₈	—	52	1	no	—
1594	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1595	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1596	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1597	C₂×C₈	C₂³×D₁₃	1	1	yes	characteristic
1598	C₄⋊C₄	—	2	1	no	—
1599	C₄⋊C₄	—	2	1	no	—
1600	C₄⋊C₄	—	2	1	no	—
1601	C₄⋊C₄	—	2	1	no	—
1602	C₄⋊C₄	—	13	1	no	—
1603	C₄⋊C₄	—	13	1	no	—
1604	C₄⋊C₄	—	13	1	no	—
1605	C₄⋊C₄	—	13	1	no	—
1606	C₄⋊C₄	—	13	1	no	—
1607	C₄⋊C₄	—	13	1	no	—
1608	C₄⋊C₄	—	13	1	no	—
1609	C₄⋊C₄	—	26	1	no	—
1610	C₄⋊C₄	—	26	1	no	—
1611	C₄⋊C₄	—	26	1	no	—
1612	C₄⋊C₄	—	26	1	no	—
1613	C₄⋊C₄	—	26	1	no	—
1614	C₄⋊C₄	—	26	1	no	—
1615	C₄⋊C₄	—	26	1	no	—
1616	C₄⋊C₄	—	26	1	no	—
1617	C₄⋊C₄	—	26	1	no	—
1618	C₄⋊C₄	—	26	1	no	—
1619	C₄⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1626	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1627	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1628	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1629	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	2	1	no	—
1634	C₂²⋊C₄	—	2	1	no	—
1635	C₂²⋊C₄	—	2	1	no	—
1636	C₂²⋊C₄	—	2	1	no	—
1637	C₂²⋊C₄	—	2	1	no	—
1638	C₂²⋊C₄	—	2	1	no	—
1639	C₂²⋊C₄	—	13	1	no	—
1640	C₂²⋊C₄	—	13	1	no	—
1641	C₂²⋊C₄	—	13	1	no	—
1642	C₂²⋊C₄	—	13	1	no	—
1643	C₂²⋊C₄	—	13	1	no	—
1644	C₂²⋊C₄	—	13	1	no	—
1645	C₂²⋊C₄	—	26	1	no	—
1646	C₂²⋊C₄	—	26	1	no	—
1647	C₂²⋊C₄	—	26	1	no	—
1648	C₂²⋊C₄	—	26	1	no	—
1649	C₂²⋊C₄	—	26	1	no	—
1650	C₂²⋊C₄	—	26	1	no	—
1651	C₂²⋊C₄	—	26	1	no	—
1652	C₂²⋊C₄	—	26	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	D₄×D₁₃	1	1	yes	characteristic
1673	C₂²⋊C₄	D₄×D₁₃	1	1	yes	characteristic
1674	C₄²	—	2	1	no	—
1675	C₄²	—	13	1	no	—
1676	C₄²	—	13	1	no	—
1677	C₄²	—	13	1	no	—
1678	C₄²	—	26	1	no	—
1679	C₄²	—	26	1	no	—
1680	C₄²	—	26	1	no	—
1681	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1682	C₁₃	C₂×#3297	1	1	yes	characteristic, complemented, Sylow
1683	C₂³	—	2	1	no	—
1684	C₂³	—	2	1	no	—
1685	C₂³	—	2	1	no	—
1686	C₂³	—	4	2	no	—
1687	C₂³	—	4	2	no	—
1688	C₂³	—	8	1	no	—
1689	C₂³	—	13	1	no	—
1690	C₂³	—	13	4	no	—
1691	C₂³	—	13	1	no	—
1692	C₂³	—	13	1	no	—
1693	C₂³	—	26	2	no	—
1694	C₂³	—	26	2	no	—
1695	C₂³	—	26	2	no	—
1696	C₂³	—	26	4	no	—
1697	C₂³	—	26	2	no	—
1698	C₂³	—	26	2	no	—
1699	C₂³	—	26	1	no	—
1700	C₂³	—	26	1	no	—
1701	C₂³	—	26	1	no	—
1702	C₂³	—	52	2	no	—
1703	C₂³	—	52	2	no	—
1704	C₂³	—	52	2	no	—
1705	C₂³	—	52	2	no	—
1706	C₂³	—	52	2	no	—
1707	C₂³	—	52	2	no	—
1708	C₂³	—	52	2	no	—
1709	C₂³	—	52	2	no	—
1710	C₂³	—	52	2	no	—
1711	C₂³	—	52	2	no	—
1712	C₂³	—	52	2	no	—
1713	C₂³	—	52	2	no	—
1714	C₂³	—	52	2	no	—
1715	C₂³	—	52	2	no	—
1716	C₂³	—	104	1	no	—
1717	C₂³	—	104	1	no	—
1718	C₂³	—	104	1	no	—
1719	C₂³	—	104	16	no	—
1720	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1721	C₂³	C₂×D₄×D₁₃	1	1	yes	characteristic
1722	Q₈	—	2	1	no	—
1723	Q₈	—	2	1	no	—
1724	Q₈	—	26	1	no	—
1725	Q₈	—	26	1	no	—
1726	Q₈	—	52	2	no	—
1727	D₄	—	2	2	no	—
1728	D₄	—	2	1	no	—
1729	D₄	—	2	1	no	—
1730	D₄	—	2	1	no	—
1731	D₄	—	2	1	no	—
1732	D₄	—	2	1	no	—
1733	D₄	—	4	2	no	—
1734	D₄	—	4	2	no	—
1735	D₄	—	4	2	no	—
1736	D₄	—	8	1	no	—
1737	D₄	—	8	1	no	—
1738	D₄	—	13	2	no	—
1739	D₄	—	26	2	no	—
1740	D₄	—	26	4	no	—
1741	D₄	—	26	2	no	—
1742	D₄	—	26	2	no	—
1743	D₄	—	26	1	no	—
1744	D₄	—	26	1	no	—
1745	D₄	—	26	1	no	—
1746	D₄	—	26	1	no	—
1747	D₄	—	26	1	no	—
1748	D₄	—	52	2	no	—
1749	D₄	—	52	2	no	—
1750	D₄	—	52	2	no	—
1751	D₄	—	52	2	no	—
1752	D₄	—	52	2	no	—
1753	D₄	—	52	2	no	—
1754	D₄	—	52	2	no	—
1755	D₄	—	52	2	no	—
1756	D₄	—	52	2	no	—
1757	D₄	—	52	2	no	—
1758	D₄	—	52	2	no	—
1759	D₄	—	104	1	no	—
1760	D₄	—	104	1	no	—
1761	D₄	—	104	1	no	—
1762	D₄	—	104	1	no	—
1763	D₄	—	104	1	no	—
1764	D₄	—	104	1	no	—
1765	D₄	#41×D₁₃	1	2	yes	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	4	2	no	—
1776	C₂×C₄	—	8	1	no	—
1777	C₂×C₄	—	8	1	no	—
1778	C₂×C₄	—	8	1	no	—
1779	C₂×C₄	—	13	1	no	—
1780	C₂×C₄	—	13	2	no	—
1781	C₂×C₄	—	13	2	no	—
1782	C₂×C₄	—	13	1	no	—
1783	C₂×C₄	—	13	1	no	—
1784	C₂×C₄	—	13	1	no	—
1785	C₂×C₄	—	13	1	no	—
1786	C₂×C₄	—	26	2	no	—
1787	C₂×C₄	—	26	2	no	—
1788	C₂×C₄	—	26	2	no	—
1789	C₂×C₄	—	26	2	no	—
1790	C₂×C₄	—	26	2	no	—
1791	C₂×C₄	—	26	2	no	—
1792	C₂×C₄	—	26	2	no	—
1793	C₂×C₄	—	26	2	no	—
1794	C₂×C₄	—	26	1	no	—
1795	C₂×C₄	—	26	1	no	—
1796	C₂×C₄	—	26	1	no	—
1797	C₂×C₄	—	26	1	no	—
1798	C₂×C₄	—	26	1	no	—
1799	C₂×C₄	—	26	1	no	—
1800	C₂×C₄	—	26	1	no	—
1801	C₂×C₄	—	26	1	no	—
1802	C₂×C₄	—	26	1	no	—
1803	C₂×C₄	—	52	2	no	—
1804	C₂×C₄	—	52	2	no	—
1805	C₂×C₄	—	52	2	no	—
1806	C₂×C₄	—	52	2	no	—
1807	C₂×C₄	—	52	2	no	—
1808	C₂×C₄	—	52	2	no	—
1809	C₂×C₄	—	52	2	no	—
1810	C₂×C₄	—	52	2	no	—
1811	C₂×C₄	—	104	1	no	—
1812	C₂×C₄	—	104	1	no	—
1813	C₂×C₄	—	104	1	no	—
1814	C₂×C₄	—	104	1	no	—
1815	C₂×C₄	—	104	1	no	—
1816	C₂×C₄	—	104	1	no	—
1817	C₂×C₄	—	104	1	no	—
1818	C₂×C₄	—	104	1	no	—
1819	C₂×C₄	—	104	1	no	—
1820	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1821	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1822	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1823	C₂×C₄	C₂×D₄×D₁₃	1	1	yes	characteristic
1824	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1825	C₈	—	2	1	no	—
1826	C₈	—	2	1	no	—
1827	C₈	—	2	1	no	—
1828	C₈	—	2	1	no	—
1829	C₈	—	26	1	no	—
1830	C₈	—	26	1	no	—
1831	C₈	—	26	1	no	—
1832	C₈	—	26	1	no	—
1833	C₂²	—	2	1	no	—
1834	C₂²	—	2	1	no	—
1835	C₂²	—	2	1	no	—
1836	C₂²	—	2	2	no	—
1837	C₂²	—	2	1	no	—
1838	C₂²	—	2	1	no	—
1839	C₂²	—	4	1	no	—
1840	C₂²	—	4	1	no	—
1841	C₂²	—	4	1	no	—
1842	C₂²	—	4	1	no	—
1843	C₂²	—	4	1	no	—
1844	C₂²	—	4	1	no	—
1845	C₂²	—	4	1	no	—
1846	C₂²	—	4	1	no	—
1847	C₂²	—	8	4	no	—
1848	C₂²	—	13	2	no	—
1849	C₂²	—	13	2	no	—
1850	C₂²	—	13	2	no	—
1851	C₂²	—	13	2	no	—
1852	C₂²	—	26	8	no	—
1853	C₂²	—	26	1	no	—
1854	C₂²	—	26	1	no	—
1855	C₂²	—	26	1	no	—
1856	C₂²	—	26	2	no	—
1857	C₂²	—	26	1	no	—
1858	C₂²	—	26	1	no	—
1859	C₂²	—	52	4	no	—
1860	C₂²	—	52	8	no	—
1861	C₂²	—	52	1	no	—
1862	C₂²	—	52	1	no	—
1863	C₂²	—	52	1	no	—
1864	C₂²	—	52	1	no	—
1865	C₂²	—	52	1	no	—
1866	C₂²	—	52	1	no	—
1867	C₂²	—	52	1	no	—
1868	C₂²	—	52	1	no	—
1869	C₂²	—	104	4	no	—
1870	C₂²	—	104	4	no	—
1871	C₂²	—	104	4	no	—
1872	C₂²	—	104	4	no	—
1873	C₂²	—	104	4	no	—
1874	C₂²	D₁₃×#135	1	2	yes	—
1875	C₂²	C₂²×D₄×D₁₃	1	1	yes	characteristic
1876	C₄	—	2	1	no	—
1877	C₄	—	2	1	no	—
1878	C₄	—	2	1	no	—
1879	C₄	—	2	1	no	—
1880	C₄	—	4	1	no	—
1881	C₄	—	4	1	no	—
1882	C₄	—	4	1	no	—
1883	C₄	—	4	1	no	—
1884	C₄	—	4	1	no	—
1885	C₄	—	13	2	no	—
1886	C₄	—	26	1	no	—
1887	C₄	—	26	1	no	—
1888	C₄	—	26	1	no	—
1889	C₄	—	26	1	no	—
1890	C₄	—	52	1	no	—
1891	C₄	—	52	1	no	—
1892	C₄	—	52	1	no	—
1893	C₄	—	52	1	no	—
1894	C₄	—	52	1	no	—
1895	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1896	C₄	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1897	C₂	—	2	2	no	—
1898	C₂	—	4	1	no	—
1899	C₂	—	4	2	no	—
1900	C₂	—	8	1	no	—
1901	C₂	—	8	1	no	—
1902	C₂	—	13	4	no	—
1903	C₂	—	26	2	no	—
1904	C₂	—	52	1	no	—
1905	C₂	—	52	2	no	—
1906	C₂	—	104	1	no	—
1907	C₂	—	104	1	no	—
1908	C₂	D₁₃×#546	1	1	yes	characteristic
1909	C₂	C₂×D₁₃×#135	1	1	yes	characteristic
1910	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×#3297	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3297	D₁₃
hypocenter	C₁₃	C₂×#3297
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3297

Complements

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

N	H ≅ G/N	type
1. D₁₃×#553	C₂	semidirect
2. D₁₃×#546	C₂	semidirect
3. #13126693	C₂	semidirect
4. #13126692	C₂	semidirect
5. #13126691	C₂	semidirect
6. #13126690	C₂	semidirect
7. #13126689	C₂	semidirect
8. #13126688	C₂	semidirect
9. #13126687	C₂	semidirect
10. #13126686	C₂	semidirect
11. #13126685	C₂	semidirect
12. #13126684	C₂	semidirect
13. #13126683	C₂	semidirect
14. #13126682	C₂	semidirect
15. #13126681	C₂	semidirect
16. #13126680	C₂	semidirect
17. #13126679	C₂	semidirect
18. D₁₃×#488	C₂	semidirect
19. D₁₃×#484	C₂	semidirect
20. D₁₃×#482	C₂	semidirect
21. D₁₃×#478	C₂	semidirect
22. D₁₃×#466	C₂	semidirect
23. D₁₃×#465	C₂	semidirect
24. D₁₃×#463	C₂	semidirect
25. D₁₃×#449	C₂	semidirect
26. D₁₃×#447	C₂	semidirect
27. C₄×D₈×D₁₃	C₂	semidirect
28. C₈×D₄×D₁₃	C₂	semidirect
29. D₁₃×#416	C₂	semidirect
30. C₂×D₁₃×#102	C₂	semidirect
31. C₁₃×#3297	C₂	semidirect
34. C₁₃×#553	C₂²	semidirect
35. C₁₃×#546	C₂²	semidirect
36. #11719534	C₂²	semidirect
37. #11719511	C₂²	semidirect
38. C₂×SD₁₆×D₁₃	C₂²	semidirect
42. C₂²×C₈×D₁₃	C₂²	semidirect
45. #11719400	C₂²	semidirect
46. D₁₃×#125	C₂²	semidirect
47. #11719381	C₂²	semidirect
53. #11719335	C₂²	semidirect
55. #11719323	C₂²	semidirect
56. #11719319	C₂²	semidirect
57. #11719317	C₂²	semidirect
63. D₁₃×#121	C₂²	semidirect
67. #11719270	C₂²	semidirect
68. #11719263	C₂²	semidirect
69. #11719259	C₂²	semidirect
70. #11719255	C₂²	semidirect
74. C₄×D₄×D₁₃	C₂²	semidirect
76. #11719235	C₂²	semidirect
77. D₁₃×#117	C₂²	semidirect
78. #11719219	C₂²	semidirect
82. C₁₃×#488	C₂²	semidirect
83. C₁₃×#484	C₂²	semidirect
84. C₁₃×#482	C₂²	semidirect
85. C₁₃×#478	C₂²	semidirect
86. C₁₃×#466	C₂²	semidirect
87. C₁₃×#465	C₂²	semidirect
88. C₁₃×#463	C₂²	semidirect
89. C₁₃×#449	C₂²	semidirect
90. C₁₃×#447	C₂²	semidirect
91. C₄×C₁₃×D₈	C₂²	semidirect
92. C₈×D₄×C₁₃	C₂²	semidirect
93. C₁₃×#416	C₂²	semidirect
94. C₂×C₁₃×#102	C₂²	semidirect
95. #11718899	C₂²	semidirect
96. #11718894	C₂²	semidirect
97. #11718878	C₂²	semidirect
98. C₂×#88072	C₂²	semidirect
99. #11718833	C₂²	semidirect
100. #11718832	C₂²	semidirect
101. #11718826	C₂²	semidirect
102. #11718819	C₂²	semidirect
103. #11718818	C₂²	semidirect
104. #11718817	C₂²	semidirect
105. #11718817	C₂²	semidirect
106. #11718814	C₂²	semidirect
107. D₈×Dic₁₃	C₂²	semidirect
108. #11718776	C₂²	semidirect
109. #11718775	C₂²	semidirect
110. #11718774	C₂²	semidirect
111. C₂×#88061	C₂²	semidirect
112. C₈×C₂²⋊D₁₃	C₂²	semidirect
113. C₈×C₂²⋊D₁₃	C₂²	semidirect
114. #11718729	C₂²	semidirect
115. #11718727	C₂²	semidirect
116. #11718718	C₂²	semidirect
117. #11718717	C₂²	semidirect
118. #11718709	C₂²	semidirect
119. #11718705	C₂²	semidirect
120. #11718702	C₂²	semidirect
121. #11718699	C₂²	semidirect
122. #11718699	C₂²	semidirect
123. #11718698	C₂²	semidirect
124. #11718697	C₂²	semidirect
125. #11718696	C₂²	semidirect
126. #11718677	C₂²	semidirect
127. C₄×#6104	C₂²	semidirect
128. C₄×#6104	C₂²	semidirect
129. D₄×#1055	C₂²	semidirect
130. #11718670	C₂²	semidirect
131. #11718664	C₂²	semidirect
132. #11718663	C₂²	semidirect
133. #11718631	C₂²	semidirect
134. C₂×#88049	C₂²	semidirect
135. #11718552	C₂²	semidirect
136. #11718546	C₂²	semidirect
137. #11718545	C₂²	semidirect
138. #11718545	C₂²	semidirect
139. #11718544	C₂²	semidirect
140. D₁₃×#107	C₂²	semidirect
141. D₁₃×#107	C₂²	semidirect
142. #11718533	C₂²	semidirect
143. #11718532	C₂²	semidirect
144. #11718527	C₂²	semidirect
145. #11718525	C₂²	semidirect
146. D₁₃×#106	C₂²	semidirect
147. #11718508	C₂²	semidirect
148. #11718505	C₂²	semidirect
149. #11718495	C₂²	semidirect
150. D₁₃×C₄⋊C₈	C₂²	semidirect
151. #11718480	C₂²	semidirect
152. #11718472	C₂²	semidirect
153. #11718470	C₂²	semidirect
154. #11718470	C₂²	semidirect
155. #11718468	C₂²	semidirect
156. #11718465	C₂²	semidirect
157. #11718465	C₂²	semidirect
158. D₁₃×#103	C₂²	semidirect
159. D₁₃×#103	C₂²	semidirect
160. D₁₃×#103	C₂²	semidirect
161. #11718461	C₂²	semidirect
162. #11718461	C₂²	semidirect
163. #11718448	C₂²	semidirect
164. #11718445	C₂²	semidirect
165. #11718442	C₂²	semidirect
166. #11718440	C₂²	semidirect
167. #11718439	C₂²	semidirect
168. #11718436	C₂²	semidirect
169. #11718436	C₂²	semidirect
170. #11718434	C₂²	semidirect
171. #11718434	C₂²	semidirect
172. #11718433	C₂²	semidirect
173. #11718433	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. #11718429	C₂²	semidirect
187. #11718427	C₂²	semidirect
188. #11718424	C₂²	semidirect
189. #11718417	C₂²	semidirect
190. #11718417	C₂²	semidirect
191. #11718398	C₂²	semidirect
192. #11718395	C₂²	semidirect
193. #11718393	C₂²	semidirect
194. #11718386	C₂²	semidirect
195. #11718386	C₂²	semidirect
197. D₁₃×C₂²⋊C₈	C₂²	semidirect
198. #11718383	C₂²	semidirect
199. #11718358	C₂²	semidirect
200. C₄×D₁₀₄	C₂²	semidirect
201. C₈×D₅₂	C₂²	semidirect
202. C₄×C₈×D₁₃	C₂²	semidirect
236. C₂×C₁₃×SD₁₆	C₂³	semidirect
240. C₂²×C₈×C₁₃	C₂³	semidirect
242. C₁₃×#125	C₂³	semidirect
251. C₁₃×#121	C₂³	semidirect
256. C₄×D₄×C₁₃	C₂³	semidirect
257. C₁₃×#117	C₂³	semidirect
264. C₂×#6106	C₂³	semidirect
276. #88192	C₂³	semidirect
286. D₄×Dic₁₃	C₂³	semidirect
287. C₂×#6105	C₂³	semidirect
296. #88184	C₂³	semidirect
307. #88180	C₂³	semidirect
312. C₂²×#1055	C₂³	semidirect
318. C₂×#6095	C₂³	semidirect
327. C₂×C₈×D₁₃	C₂³	semidirect
328. C₂×C₈×D₁₃	C₂³	semidirect
338. #88149	C₂³	semidirect
346. #88147	C₂³	semidirect
347. #88146	C₂³	semidirect
348. #88146	C₂³	semidirect
361. #88144	C₂³	semidirect
362. #88144	C₂³	semidirect
414. C₄×D₅₂	C₂³	semidirect
418. #88124	C₂³	semidirect
419. C₁₃×#107	C₂³	semidirect
420. C₁₃×#107	C₂³	semidirect
421. C₁₃×#106	C₂³	semidirect
422. C₁₃×C₄⋊C₈	C₂³	semidirect
423. C₁₃×#103	C₂³	semidirect
424. C₁₃×#103	C₂³	semidirect
425. C₁₃×#103	C₂³	semidirect
432. C₁₃×#102	C₂³	semidirect
434. C₁₃×C₂²⋊C₈	C₂³	semidirect
435. C₄×C₈×C₁₃	C₂³	semidirect
436. #88075	C₂³	semidirect
437. #88075	C₂³	semidirect
438. #88075	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. #88054	C₂³	semidirect
466. #88054	C₂³	semidirect
467. C₈×Dic₁₃	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. #88047	C₂³	semidirect
482. #88047	C₂³	semidirect
483. #88047	C₂³	semidirect
484. #88047	C₂³	semidirect
485. C₄⋊#1055	C₂³	semidirect
486. C₄×#1055	C₂³	semidirect
745. #3297	D₁₃	direct (N × H)
927. #553	C₂×D₁₃	semidirect
939. #546	C₂×D₁₃	semidirect
966. #488	C₂×D₁₃	semidirect
974. #484	C₂×D₁₃	semidirect
982. #482	C₂×D₁₃	semidirect
990. #478	C₂×D₁₃	semidirect
998. #466	C₂×D₁₃	semidirect
1006. #465	C₂×D₁₃	semidirect
1014. #463	C₂×D₁₃	semidirect
1022. #449	C₂×D₁₃	semidirect
1030. #447	C₂×D₁₃	semidirect
1038. C₄×D₈	C₂×D₁₃	semidirect
1046. C₈×D₄	C₂×D₁₃	semidirect
1058. #416	C₂×D₁₃	semidirect
1076. C₂×#102	C₂×D₁₃	semidirect
1181. C₂×SD₁₆	C₂²×D₁₃	semidirect
1205. C₂²×C₈	C₂²×D₁₃	semidirect
1219. #125	C₂²×D₁₃	semidirect
1281. #121	C₂²×D₁₃	semidirect
1317. C₄×D₄	C₂²×D₁₃	semidirect
1323. #117	C₂²×D₁₃	semidirect
1366. #107	C₂²×D₁₃	semidirect
1367. #107	C₂²×D₁₃	semidirect
1371. #106	C₂²×D₁₃	semidirect
1375. C₄⋊C₈	C₂²×D₁₃	semidirect
1385. #103	C₂²×D₁₃	semidirect
1386. #103	C₂²×D₁₃	semidirect
1387. #103	C₂²×D₁₃	semidirect
1415. #102	C₂²×D₁₃	semidirect
1423. C₂²⋊C₈	C₂²×D₁₃	semidirect
1427. C₄×C₈	C₂²×D₁₃	semidirect
1441. D₁₃	#3297	direct (N × H)
1682. C₁₃	C₂×#3297	semidirect

Maximal subgroups

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

subgroup	index
D₁₃×#553	2
D₁₃×#546	2
#13126693	2
#13126692	2
#13126691	2
#13126690	2
#13126689	2
#13126688	2
#13126687	2
#13126686	2
#13126685	2
#13126684	2
#13126683	2
#13126682	2
#13126681	2
#13126680	2
#13126679	2
D₁₃×#488	2
D₁₃×#484	2
D₁₃×#482	2
D₁₃×#478	2
D₁₃×#466	2
D₁₃×#465	2
D₁₃×#463	2
D₁₃×#449	2
D₁₃×#447	2
C₄×D₈×D₁₃	2
C₈×D₄×D₁₃	2
D₁₃×#416	2
C₂×D₁₃×#102	2
C₁₃×#3297	2
C₂×#3297	13

Subgroups — D13×#3297 #16739278

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₁₃×#3297 #16739278