Subgroups — #16748623

Order 3328.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1920 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129152	C₂	1	1	yes	maximal, characteristic, complemented
2	#13127141	C₂	1	1	yes	maximal, characteristic, complemented
3	#13127052	C₂	1	1	yes	maximal, characteristic, complemented
4	#13126992	C₂	1	1	yes	maximal, characteristic, complemented
5	#13126932	C₂	1	1	yes	maximal, characteristic, complemented
6	#13126812	C₂	1	1	yes	maximal, characteristic, complemented
7	#13126797	C₂	1	1	yes	maximal, characteristic, complemented
8	#13126764	C₂	1	1	yes	maximal, characteristic, complemented
9	#13126686	C₂	1	1	yes	maximal, characteristic, complemented
10	#13126562	C₂	1	1	yes	maximal, characteristic, complemented
11	#13126517	C₂	1	1	yes	maximal, characteristic, complemented
12	#13126443	C₂	1	1	yes	maximal, characteristic, complemented
13	#13126436	C₂	1	1	yes	maximal, characteristic, complemented
14	#13126372	C₂	1	1	yes	maximal, characteristic, complemented
15	#13126362	C₂	1	1	yes	maximal, characteristic, complemented
16	#13126362	C₂	1	1	yes	maximal, characteristic, complemented
17	#13126317	C₂	1	1	yes	maximal, characteristic, complemented
18	#13125945	C₂	1	1	yes	maximal, characteristic, complemented
19	#13125897	C₂	1	1	yes	maximal, characteristic, complemented
20	#13125718	C₂	1	1	yes	maximal, characteristic, complemented
21	#13125703	C₂	1	1	yes	maximal, characteristic, complemented
22	#13125673	C₂	1	1	yes	maximal, characteristic, complemented
23	#13125597	C₂	1	1	yes	maximal, characteristic, complemented
24	#13125079	C₂	1	1	yes	maximal, characteristic, complemented
25	#13125020	C₂	1	1	yes	maximal, characteristic, complemented
26	#13124140	C₂	1	1	yes	maximal, characteristic, complemented
27	#13124104	C₂	1	1	yes	maximal, characteristic, complemented
28	#13124088	C₂	1	1	yes	maximal, characteristic, complemented
29	#13124054	C₂	1	1	yes	maximal, characteristic, complemented
30	#13123884	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₃×#3485	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
33	C₂²×C₁₃×#41	C₂²	1	1	yes	characteristic, complemented
34	C₁₃×#547	—	2	1	no	—
35	C₁₃×#547	—	2	1	no	—
36	C₁₃×#547	C₂²	1	1	yes	characteristic
37	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
38	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
39	C₁₃×#547	C₂²	1	1	yes	characteristic, complemented
40	C₁₃×#546	—	2	1	no	—
41	C₁₃×#546	—	2	1	no	—
42	C₁₃×#546	C₂²	1	1	yes	characteristic
43	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
44	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
45	C₁₃×#546	C₂²	1	1	yes	characteristic, complemented
46	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
47	C₁₃×#536	C₂²	1	1	yes	characteristic, complemented
48	C₁₃×#534	—	2	1	no	—
49	C₁₃×#534	—	2	1	no	—
50	C₁₃×#525	C₂²	1	1	yes	characteristic
51	C₁₃×#525	C₂²	1	1	yes	characteristic, complemented
52	C₂×C₁₃×#123	—	2	1	no	—
53	C₂×C₁₃×#123	—	2	1	no	—
54	C₁₃×#518	C₂²	1	1	yes	characteristic, complemented
55	#11719538	C₂²	1	1	yes	characteristic
56	#11719535	C₂²	1	1	yes	characteristic
57	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
58	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
59	C₂×#88204	C₂²	1	1	yes	characteristic, complemented
60	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
61	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
62	C₂×#88203	C₂²	1	1	yes	characteristic, complemented
63	C₂×#88186	C₂²	1	1	yes	characteristic, complemented
64	C₂²×#6104	C₂²	1	1	yes	characteristic, complemented
65	#11719496	C₂²	1	1	yes	characteristic, complemented
66	C₂×#88184	C₂²	1	1	yes	characteristic, complemented
67	#11719368	—	2	1	no	—
68	#11719362	—	2	1	no	—
69	#11719352	—	2	1	no	—
70	#11719342	—	2	1	no	—
71	#11719325	—	2	1	no	—
72	#11719315	—	2	1	no	—
73	#11719297	—	2	1	no	—
74	#11719294	—	2	1	no	—
75	#11719270	C₂²	1	1	yes	characteristic, complemented
76	#11719268	C₂²	1	1	yes	characteristic, complemented
77	#11719260	C₂²	1	1	yes	characteristic, complemented
78	#11719258	C₂²	1	1	yes	characteristic, complemented
79	#11719255	C₂²	1	1	yes	characteristic, complemented
80	#11719255	C₂²	1	1	yes	characteristic, complemented
81	D₄×D₅₂	C₂²	1	1	yes	characteristic, complemented
82	#11719246	C₂²	1	1	yes	characteristic, complemented
83	#11719240	C₂²	1	1	yes	characteristic, complemented
84	#11719239	C₂²	1	1	yes	characteristic, complemented
85	#11718900	C₂²	1	1	yes	characteristic, complemented
86	#11718900	C₂²	1	1	yes	characteristic, complemented
87	#11718900	C₂²	1	1	yes	characteristic, complemented
88	#11718900	C₂²	1	1	yes	characteristic, complemented
89	#11718899	C₂²	1	1	yes	characteristic
90	#11718899	C₂²	1	1	yes	characteristic, complemented
91	#11718899	C₂²	1	1	yes	characteristic, complemented
92	#11718899	C₂²	1	1	yes	characteristic, complemented
93	#11718899	C₂²	1	1	yes	characteristic, complemented
94	#11718899	C₂²	1	1	yes	characteristic, complemented
95	#11718899	C₂²	1	1	yes	characteristic, complemented
96	#11718899	C₂²	1	1	yes	characteristic, complemented
97	#11718899	C₂²	1	1	yes	characteristic, complemented
98	#11718899	C₂²	1	1	yes	characteristic, complemented
99	#11718899	C₂²	1	1	yes	characteristic, complemented
100	#11718899	C₂²	1	1	yes	characteristic, complemented
101	#11718895	C₂²	1	1	yes	characteristic, complemented
102	#11718895	C₂²	1	1	yes	characteristic, complemented
103	#11718894	C₂²	1	1	yes	characteristic, complemented
104	#11718894	C₂²	1	1	yes	characteristic, complemented
105	#11718894	C₂²	1	1	yes	characteristic, complemented
106	#11718893	C₂²	1	1	yes	characteristic, complemented
107	#11718893	C₂²	1	1	yes	characteristic, complemented
108	#11718893	C₂²	1	1	yes	characteristic, complemented
109	#11718889	C₂²	1	1	yes	characteristic, complemented
110	#11718888	C₂²	1	1	yes	characteristic, complemented
111	#11718888	C₂²	1	1	yes	characteristic, complemented
112	#11718888	C₂²	1	1	yes	characteristic, complemented
113	#11718879	C₂²	1	1	yes	characteristic, complemented
114	#11718879	C₂²	1	1	yes	characteristic, complemented
115	#11718878	C₂²	1	1	yes	characteristic
116	#11718878	C₂²	1	1	yes	characteristic, complemented
117	#11718878	C₂²	1	1	yes	characteristic, complemented
118	#11718878	C₂²	1	1	yes	characteristic, complemented
119	#11718878	C₂²	1	1	yes	characteristic, complemented
120	#11718878	C₂²	1	1	yes	characteristic, complemented
121	#11718876	C₂²	1	1	yes	characteristic, complemented
122	C₂×#88072	C₂²	1	1	yes	characteristic, complemented
123	#11718868	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic, complemented
125	#11718751	C₂²	1	1	yes	characteristic, complemented
126	#11718747	C₂²	1	1	yes	characteristic, complemented
127	#11718746	C₂²	1	1	yes	characteristic, complemented
128	#11718744	C₂²	1	1	yes	characteristic, complemented
129	#11718744	C₂²	1	1	yes	characteristic, complemented
130	#11718744	C₂²	1	1	yes	characteristic, complemented
131	#11718743	C₂²	1	1	yes	characteristic, complemented
132	#11718742	C₂²	1	1	yes	characteristic, complemented
133	#11718720	C₂²	1	1	yes	characteristic, complemented
134	#11718719	C₂²	1	1	yes	characteristic, complemented
135	#11718718	C₂²	1	1	yes	characteristic, complemented
136	#11718718	C₂²	1	1	yes	characteristic, complemented
137	#11718718	C₂²	1	1	yes	characteristic, complemented
138	#11718717	C₂²	1	1	yes	characteristic, complemented
139	#11718716	C₂²	1	1	yes	characteristic, complemented
140	#11718715	C₂²	1	1	yes	characteristic, complemented
141	#11718713	C₂²	1	1	yes	characteristic, complemented
142	#11718713	C₂²	1	1	yes	characteristic, complemented
143	#11718712	C₂²	1	1	yes	characteristic, complemented
144	#11718710	C₂²	1	1	yes	characteristic, complemented
145	#11718710	C₂²	1	1	yes	characteristic, complemented
146	#11718710	C₂²	1	1	yes	characteristic, complemented
147	#11718710	C₂²	1	1	yes	characteristic, complemented
148	#11718709	C₂²	1	1	yes	characteristic, complemented
149	#11718709	C₂²	1	1	yes	characteristic, complemented
150	#11718709	C₂²	1	1	yes	characteristic, complemented
151	#11718709	C₂²	1	1	yes	characteristic, complemented
152	#11718709	C₂²	1	1	yes	characteristic, complemented
153	#11718708	C₂²	1	1	yes	characteristic, complemented
154	#11718708	C₂²	1	1	yes	characteristic, complemented
155	#11718708	C₂²	1	1	yes	characteristic, complemented
156	#11718707	C₂²	1	1	yes	characteristic, complemented
157	#11718707	C₂²	1	1	yes	characteristic, complemented
158	#11718707	C₂²	1	1	yes	characteristic, complemented
159	#11718706	C₂²	1	1	yes	characteristic, complemented
160	#11718706	C₂²	1	1	yes	characteristic, complemented
161	#11718706	C₂²	1	1	yes	characteristic, complemented
162	#11718705	C₂²	1	1	yes	characteristic, complemented
163	#11718705	C₂²	1	1	yes	characteristic, complemented
164	#11718704	C₂²	1	1	yes	characteristic, complemented
165	#11718703	C₂²	1	1	yes	characteristic, complemented
166	#11718700	C₂²	1	1	yes	characteristic, complemented
167	#11718699	C₂²	1	1	yes	characteristic, complemented
168	#11718699	C₂²	1	1	yes	characteristic, complemented
169	#11718698	C₂²	1	1	yes	characteristic, complemented
170	#11718697	C₂²	1	1	yes	characteristic, complemented
171	#11718696	C₂²	1	1	yes	characteristic, complemented
172	#11718695	C₂²	1	1	yes	characteristic, complemented
173	#11718679	C₂²	1	1	yes	characteristic, complemented
174	C₄×#6105	C₂²	1	1	yes	characteristic, complemented
175	#11718677	C₂²	1	1	yes	characteristic, complemented
176	#11718677	C₂²	1	1	yes	characteristic, complemented
177	#11718676	C₂²	1	1	yes	characteristic, complemented
178	#11718676	C₂²	1	1	yes	characteristic, complemented
179	#11718675	C₂²	1	1	yes	characteristic, complemented
180	#11718675	C₂²	1	1	yes	characteristic, complemented
181	#11718675	C₂²	1	1	yes	characteristic, complemented
182	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
183	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
184	C₄×#6104	C₂²	1	1	yes	characteristic, complemented
185	#11718673	C₂²	1	1	yes	characteristic, complemented
186	#11718673	C₂²	1	1	yes	characteristic, complemented
187	#11718672	C₂²	1	1	yes	characteristic, complemented
188	#11718672	C₂²	1	1	yes	characteristic, complemented
189	#11718672	C₂²	1	1	yes	characteristic, complemented
190	#11718672	C₂²	1	1	yes	characteristic, complemented
191	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
192	D₄×#1055	C₂²	1	1	yes	characteristic, complemented
193	#11718670	C₂²	1	1	yes	characteristic, complemented
194	#11718670	C₂²	1	1	yes	characteristic, complemented
195	#11718669	C₂²	1	1	yes	characteristic, complemented
196	#11718668	C₂²	1	1	yes	characteristic, complemented
197	#11718664	C₂²	1	1	yes	characteristic, complemented
198	#11718664	C₂²	1	1	yes	characteristic, complemented
199	#11718664	C₂²	1	1	yes	characteristic, complemented
200	#11718661	C₂²	1	1	yes	characteristic, complemented
201	#11718661	C₂²	1	1	yes	characteristic, complemented
202	#11718657	C₂²	1	1	yes	characteristic, complemented
203	C₁₃×H(5,𝔽₂)	—	4	2	no	—
204	C₁₃×H(5,𝔽₂)	—	4	2	no	—
205	C₂×C₁₃×#41	—	2	1	no	—
206	C₂×C₁₃×#41	—	2	1	no	—
207	C₂×C₁₃×#41	—	2	1	no	—
208	C₂×C₁₃×#41	—	4	2	no	—
209	C₂×C₁₃×#41	—	4	2	no	—
210	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
211	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
212	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
213	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
214	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
215	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
218	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
219	C₂²×D₄×C₁₃	—	2	1	no	—
220	C₂²×D₄×C₁₃	—	2	1	no	—
221	C₂²×D₄×C₁₃	—	2	1	no	—
222	C₂²×D₄×C₁₃	—	2	1	no	—
223	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
224	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
225	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₁₃	—	2	1	no	—
227	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
228	C₂²×C₂²⋊D₁₃	—	2	1	no	—
229	C₂×#6129	—	2	1	no	—
230	C₂×D₄×D₁₃	—	2	1	no	—
231	C₂×#6127	C₂³	1	1	yes	characteristic
232	C₂×#6127	C₂³	1	1	yes	characteristic
233	C₂²×D₅₂	C₂³	1	1	yes	characteristic
234	C₂²×D₅₂	C₂³	1	1	yes	characteristic
235	C₁₃×C₄⋊Q₈	—	2	1	no	—
236	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₁₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
238	C₁₃×#124	—	2	1	no	—
239	C₁₃×#124	C₂³	1	1	yes	characteristic
240	C₁₃×#124	C₂³	1	1	yes	characteristic
241	C₁₃×#123	—	2	1	no	—
242	C₁₃×#123	—	2	1	no	—
243	C₁₃×#123	—	2	1	no	—
244	C₁₃×#123	—	2	1	no	—
245	C₁₃×#123	—	2	1	no	—
246	C₁₃×#123	—	2	1	no	—
247	C₁₃×#123	—	2	1	no	—
248	C₁₃×#123	—	2	1	no	—
249	C₁₃×#123	—	2	1	no	—
250	C₁₃×#123	—	2	1	no	—
251	C₁₃×#123	—	2	1	no	—
252	C₁₃×#123	—	2	1	no	—
253	C₁₃×#123	—	2	1	no	—
254	C₁₃×#123	—	2	1	no	—
255	C₁₃×#123	—	2	1	no	—
256	C₁₃×#123	—	2	1	no	—
257	C₁₃×#123	—	2	1	no	—
258	C₁₃×#123	D₄	1	1	yes	characteristic
259	C₁₃×#123	D₄	1	1	yes	characteristic
260	C₁₃×C₂²⋊Q₈	—	2	1	no	—
261	C₁₃×C₂²⋊Q₈	—	2	1	no	—
262	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
263	C₁₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
264	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
265	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
266	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
267	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
268	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
269	C₁₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
270	C₁₃×#121	—	2	1	no	—
271	C₁₃×#121	—	2	1	no	—
272	C₁₃×#121	—	2	1	no	—
273	C₁₃×#121	—	2	1	no	—
274	C₁₃×#121	—	2	1	no	—
275	C₁₃×#121	—	2	1	no	—
276	C₁₃×#121	—	2	1	no	—
277	C₁₃×#121	—	2	1	no	—
278	C₁₃×#121	D₄	1	1	yes	characteristic
279	C₁₃×#121	D₄	1	1	yes	characteristic
280	C₁₃×#121	C₂³	1	1	yes	characteristic
281	C₁₃×#121	C₂³	1	1	yes	characteristic
282	C₁₃×#120	—	2	1	no	—
283	C₁₃×#120	—	2	1	no	—
284	C₁₃×#120	—	2	1	no	—
285	C₁₃×#120	—	2	1	no	—
286	C₁₃×#120	—	2	1	no	—
287	C₁₃×#120	D₄	1	1	yes	characteristic
288	C₁₃×#120	D₄	1	1	yes	characteristic
289	C₄×D₄×C₁₃	—	2	1	no	—
290	C₄×D₄×C₁₃	—	2	1	no	—
291	C₄×D₄×C₁₃	—	2	1	no	—
292	C₄×D₄×C₁₃	—	2	1	no	—
293	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
295	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
296	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
297	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
298	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
299	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
300	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
301	C₁₃×#117	C₂³	1	1	yes	characteristic
302	C₁₃×#117	C₂³	1	1	yes	characteristic
303	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
304	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
305	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
306	C₂×C₁₃×C₄⋊C₄	—	2	1	no	—
307	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
308	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
309	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
310	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
311	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
312	C₂×C₁₃×C₂²⋊C₄	—	2	1	no	—
313	#88207	—	2	1	no	—
314	#88204	—	4	2	no	—
315	#88204	—	4	2	no	—
316	#88204	—	4	2	no	—
317	#88203	—	4	2	no	—
318	#88203	—	4	2	no	—
319	#88203	—	4	2	no	—
320	#88201	—	2	1	no	—
321	#88200	—	2	1	no	—
322	C₂×#6107	C₂³	1	1	yes	characteristic
323	C₂×#6107	C₂³	1	1	yes	characteristic
324	C₂×#6107	C₂³	1	1	yes	characteristic
325	C₂×#6106	C₂³	1	1	yes	characteristic
326	C₂×#6106	C₂³	1	1	yes	characteristic
327	C₂×#6106	C₂³	1	1	yes	characteristic
328	C₂×#6106	C₂³	1	1	yes	characteristic
329	C₂×#6106	C₂³	1	1	yes	characteristic
330	C₂×#6106	C₂³	1	1	yes	characteristic
331	C₂×#6106	C₂³	1	1	yes	characteristic
332	C₂×#6106	C₂³	1	1	yes	characteristic
333	C₂×#6106	C₂³	1	1	yes	characteristic
334	#88194	—	2	1	no	—
335	#88194	—	2	1	no	—
336	#88193	—	2	1	no	—
337	#88193	—	2	1	no	—
338	#88193	—	2	1	no	—
339	#88192	—	2	1	no	—
340	#88192	—	2	1	no	—
341	#88191	—	2	1	no	—
342	#88191	—	2	1	no	—
343	#88191	—	2	1	no	—
344	#88191	—	2	1	no	—
345	#88189	—	2	1	no	—
346	C₂×#6105	C₂³	1	1	yes	characteristic
347	C₂×#6105	C₂³	1	1	yes	characteristic
348	C₂×#6105	C₂³	1	1	yes	characteristic
349	#88186	—	4	2	no	—
350	C₂×#6104	—	4	2	no	—
351	C₂×#6104	C₂³	1	1	yes	characteristic
352	C₂×#6104	C₂³	1	1	yes	characteristic
353	C₂×#6104	C₂³	1	1	yes	characteristic
354	C₂×#6104	C₂³	1	1	yes	characteristic
355	C₂×#6104	C₂³	1	1	yes	characteristic
356	C₂×#6104	C₂³	1	1	yes	characteristic
357	C₂×#6104	C₂³	1	1	yes	characteristic
358	C₂×#6104	C₂³	1	1	yes	characteristic
359	C₂×#6104	C₂³	1	1	yes	characteristic
360	#88184	—	2	1	no	—
361	#88184	—	2	1	no	—
362	#88184	C₂³	1	1	yes	characteristic
363	#88184	C₂³	1	1	yes	characteristic
364	#88184	C₂³	1	1	yes	characteristic
365	#88184	C₂³	1	1	yes	characteristic
366	#88184	C₂³	1	1	yes	characteristic
367	#88184	C₂³	1	1	yes	characteristic
368	#88184	C₂³	1	1	yes	characteristic
369	#88184	C₂³	1	1	yes	characteristic
370	#88184	C₂³	1	1	yes	characteristic
371	#88183	—	2	1	no	—
372	C₄×C₂²⋊D₁₃	—	2	1	no	—
373	C₄×C₂²⋊D₁₃	—	2	1	no	—
374	C₂×#6103	—	2	1	no	—
375	#88180	C₂³	1	1	yes	characteristic
376	#88180	C₂³	1	1	yes	characteristic
377	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
378	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
379	#88178	C₂³	1	1	yes	characteristic
380	#88178	C₂³	1	1	yes	characteristic
381	#88178	C₂³	1	1	yes	characteristic
382	C₂×#6099	C₂³	1	1	yes	characteristic
383	C₂×#6099	C₂³	1	1	yes	characteristic
384	C₂×#6099	C₂³	1	1	yes	characteristic
385	C₂×#6099	C₂³	1	1	yes	characteristic
386	C₂²×#1055	C₂³	1	1	yes	characteristic
387	C₂²×#1055	C₂³	1	1	yes	characteristic
388	C₂²×#1055	C₂³	1	1	yes	characteristic
389	C₂²×#1055	C₂³	1	1	yes	characteristic
390	#88152	—	2	1	no	—
391	#88152	—	2	1	no	—
392	#88151	—	2	1	no	—
393	#88150	—	2	1	no	—
394	#88149	—	2	1	no	—
395	#88148	—	2	1	no	—
396	#88148	—	2	1	no	—
397	#88148	—	2	1	no	—
398	#88148	—	2	1	no	—
399	#88147	—	2	1	no	—
400	#88146	—	2	1	no	—
401	#88143	—	2	1	no	—
402	#88140	—	2	1	no	—
403	#88140	—	2	1	no	—
404	#88139	—	2	1	no	—
405	#88139	—	2	1	no	—
406	#88139	—	2	1	no	—
407	#88138	—	2	1	no	—
408	#88138	—	2	1	no	—
409	#88138	—	2	1	no	—
410	#88138	—	2	1	no	—
411	#88138	—	2	1	no	—
412	#88138	—	2	1	no	—
413	#88137	—	2	1	no	—
414	#88137	—	2	1	no	—
415	#88136	—	2	1	no	—
416	#88136	—	2	1	no	—
417	#88135	—	2	1	no	—
418	C₂²⋊C₄×D₁₃	—	2	1	no	—
419	C₂²⋊C₄×D₁₃	—	2	1	no	—
420	#88133	—	2	1	no	—
421	#88131	—	2	1	no	—
422	#88129	C₂³	1	1	yes	characteristic
423	#88128	C₂³	1	1	yes	characteristic
424	C₄×D₅₂	C₂³	1	1	yes	characteristic
425	C₄×D₅₂	C₂³	1	1	yes	characteristic
426	C₄×D₅₂	C₂³	1	1	yes	characteristic
427	#88124	C₂³	1	1	yes	characteristic
428	#88123	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₆	C₂³	1	1	yes	characteristic
430	#88075	C₂³	1	1	yes	characteristic
431	#88075	C₂³	1	1	yes	characteristic
432	#88075	C₂³	1	1	yes	characteristic
433	#88075	C₂³	1	1	yes	characteristic
434	#88075	C₂³	1	1	yes	characteristic
435	#88075	C₂³	1	1	yes	characteristic
436	#88075	C₂³	1	1	yes	characteristic
437	#88075	C₂³	1	1	yes	characteristic
438	#88075	C₂³	1	1	yes	characteristic
439	#88075	C₂³	1	1	yes	characteristic
440	#88075	C₂³	1	1	yes	characteristic
441	#88075	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
446	#88072	C₂³	1	1	yes	characteristic
447	#88072	C₂³	1	1	yes	characteristic
448	#88072	C₂³	1	1	yes	characteristic
449	#88072	C₂³	1	1	yes	characteristic
450	#88072	C₂³	1	1	yes	characteristic
451	#88072	C₂³	1	1	yes	characteristic
452	#88072	C₂³	1	1	yes	characteristic
453	#88072	C₂³	1	1	yes	characteristic
454	C₂²⋊#1055	C₂³	1	1	yes	characteristic
455	C₂²⋊#1055	C₂³	1	1	yes	characteristic
456	C₂²⋊#1055	C₂³	1	1	yes	characteristic
457	C₂²⋊#1055	C₂³	1	1	yes	characteristic
458	C₂²⋊#1055	C₂³	1	1	yes	characteristic
459	C₂²⋊#1055	C₂³	1	1	yes	characteristic
460	C₂²⋊#1055	C₂³	1	1	yes	characteristic
461	C₂²⋊#1055	C₂³	1	1	yes	characteristic
462	C₂²⋊#1055	C₂³	1	1	yes	characteristic
463	C₂²⋊#1055	C₂³	1	1	yes	characteristic
464	C₂²⋊#1055	C₂³	1	1	yes	characteristic
465	C₂²⋊#1055	C₂³	1	1	yes	characteristic
466	#88050	C₂³	1	1	yes	characteristic
467	#88050	C₂³	1	1	yes	characteristic
468	#88049	C₂³	1	1	yes	characteristic
469	#88049	C₂³	1	1	yes	characteristic
470	#88049	C₂³	1	1	yes	characteristic
471	#88049	C₂³	1	1	yes	characteristic
472	#88049	C₂³	1	1	yes	characteristic
473	#88049	C₂³	1	1	yes	characteristic
474	#88048	C₂³	1	1	yes	characteristic
475	#88048	C₂³	1	1	yes	characteristic
476	#88048	C₂³	1	1	yes	characteristic
477	#88048	C₂³	1	1	yes	characteristic
478	#88047	C₂³	1	1	yes	characteristic
479	#88047	C₂³	1	1	yes	characteristic
480	#88047	C₂³	1	1	yes	characteristic
481	#88047	C₂³	1	1	yes	characteristic
482	C₄⋊#1055	C₂³	1	1	yes	characteristic
483	C₄⋊#1055	C₂³	1	1	yes	characteristic
484	C₄⋊#1055	C₂³	1	1	yes	characteristic
485	C₄⋊#1055	C₂³	1	1	yes	characteristic
486	#88043	C₂³	1	1	yes	characteristic
487	#88043	C₂³	1	1	yes	characteristic
488	C₄×#1055	C₂³	1	1	yes	characteristic
489	C₄×#1055	C₂³	1	1	yes	characteristic
490	#61614	—	13	1	no	maximal, Sylow
491	C₂⁴×C₁₃	—	2	1	no	—
492	C₂⁴×C₁₃	—	2	1	no	—
493	C₂⁴×C₁₃	—	2	1	no	—
494	C₂⁴×C₁₃	C₂×D₄	1	1	yes	characteristic
495	C₂³×D₁₃	—	2	1	no	—
496	C₂³×D₁₃	—	2	1	no	—
497	C₁₃×#41	—	2	2	no	—
498	C₁₃×#41	—	2	2	no	—
499	C₁₃×#41	—	2	2	no	—
500	C₁₃×#41	—	2	2	no	—
501	C₁₃×#41	—	2	2	no	—
502	C₁₃×#41	—	2	2	no	—
503	C₁₃×#41	—	4	1	no	—
504	C₁₃×#41	—	4	1	no	—
505	C₁₃×#41	—	4	1	no	—
506	C₁₃×#41	—	4	1	no	—
507	C₁₃×#41	—	4	1	no	—
508	C₁₃×#41	—	4	1	no	—
509	C₁₃×#41	—	4	1	no	—
510	C₁₃×#41	—	4	1	no	—
511	C₁₃×#41	—	4	1	no	—
512	C₁₃×#41	—	4	1	no	—
513	C₁₃×#41	—	4	4	no	—
514	C₁₃×#41	—	4	4	no	—
515	C₁₃×#41	—	4	4	no	—
516	C₂×Q₈×C₁₃	—	2	1	no	—
517	C₂×Q₈×C₁₃	—	4	1	no	—
518	C₂×Q₈×C₁₃	—	4	1	no	—
519	C₂×Q₈×C₁₃	C₂×D₄	1	1	yes	characteristic
520	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
521	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
522	C₂×Q₈×C₁₃	C₂⁴	1	1	yes	characteristic
523	C₂×D₄×C₁₃	—	2	2	no	—
524	C₂×D₄×C₁₃	—	2	2	no	—
525	C₂×D₄×C₁₃	—	2	2	no	—
526	C₂×D₄×C₁₃	—	2	2	no	—
527	C₂×D₄×C₁₃	—	2	1	no	—
528	C₂×D₄×C₁₃	—	2	1	no	—
529	C₂×D₄×C₁₃	—	2	1	no	—
530	C₂×D₄×C₁₃	—	2	1	no	—
531	C₂×D₄×C₁₃	—	2	1	no	—
532	C₂×D₄×C₁₃	—	2	1	no	—
533	C₂×D₄×C₁₃	—	2	1	no	—
534	C₂×D₄×C₁₃	—	2	1	no	—
535	C₂×D₄×C₁₃	—	2	1	no	—
536	C₂×D₄×C₁₃	—	2	1	no	—
537	C₂×D₄×C₁₃	—	2	1	no	—
538	C₂×D₄×C₁₃	—	2	1	no	—
539	C₂×D₄×C₁₃	—	4	1	no	—
540	C₂×D₄×C₁₃	—	4	1	no	—
541	C₂×D₄×C₁₃	—	4	4	no	—
542	C₂×D₄×C₁₃	—	4	4	no	—
543	C₂×D₄×C₁₃	—	4	4	no	—
544	C₂×D₄×C₁₃	—	4	4	no	—
545	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
546	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
547	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
548	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
549	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
550	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
551	C₂×D₄×C₁₃	C₂×D₄	1	1	yes	characteristic
552	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂×D₄×C₁₃	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₁₃	—	2	1	no	—
556	C₂²×C₄×C₁₃	—	2	1	no	—
557	C₂²×C₄×C₁₃	—	2	1	no	—
558	C₂²×C₄×C₁₃	—	2	1	no	—
559	C₂²×C₄×C₁₃	—	2	1	no	—
560	C₂²×C₄×C₁₃	—	2	1	no	—
561	C₂²×C₄×C₁₃	—	2	1	no	—
562	C₂²×C₄×C₁₃	—	2	1	no	—
563	C₂²×C₄×C₁₃	—	2	1	no	—
564	C₂²×C₄×C₁₃	—	2	1	no	—
565	C₂²×C₄×C₁₃	—	2	1	no	—
566	C₂²×C₄×C₁₃	—	2	1	no	—
567	C₂²×C₄×C₁₃	—	4	1	no	—
568	C₂²×C₄×C₁₃	—	4	1	no	—
569	C₂²×C₄×C₁₃	—	4	4	no	—
570	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
571	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
572	C₂²×C₄×C₁₃	C₂×D₄	1	1	yes	characteristic
573	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₂²⋊D₁₃	—	2	1	no	—
579	C₂×C₂²⋊D₁₃	—	2	1	no	—
580	C₂×C₂²⋊D₁₃	—	2	1	no	—
581	C₂×C₂²⋊D₁₃	—	2	1	no	—
582	C₂×C₂²⋊D₁₃	—	2	1	no	—
583	C₂×C₂²⋊D₁₃	—	2	1	no	—
584	C₂×C₂²⋊D₁₃	—	2	1	no	—
585	C₂×C₂²⋊D₁₃	—	2	1	no	—
586	C₂×C₂²⋊D₁₃	—	2	1	no	—
587	C₂×C₂²⋊D₁₃	—	2	1	no	—
588	C₂×C₂²⋊D₁₃	—	2	1	no	—
589	C₂×C₂²⋊D₁₃	—	8	2	no	—
590	C₂²×Dic₁₃	—	2	1	no	—
591	C₂²×Dic₁₃	—	2	1	no	—
592	#6129	—	8	2	no	—
593	D₄×D₁₃	—	8	2	no	—
594	#6127	—	4	1	no	—
595	#6127	—	4	1	no	—
596	#6127	—	4	1	no	—
597	#6127	—	4	1	no	—
598	C₂×D₅₂	—	2	1	no	—
599	C₂×D₅₂	—	2	1	no	—
600	C₂×D₅₂	—	2	1	no	—
601	C₂×D₅₂	—	2	1	no	—
602	C₂×D₅₂	—	4	1	no	—
603	C₂×D₅₂	—	4	1	no	—
604	C₂×D₅₂	—	4	1	no	—
605	C₂×D₅₂	—	4	1	no	—
606	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
607	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
608	C₂×D₅₂	C₂⁴	1	1	yes	characteristic
609	C₂×C₄×D₁₃	—	2	1	no	—
610	C₂×C₄×D₁₃	—	2	1	no	—
611	C₂×C₄×D₁₃	—	2	1	no	—
612	C₂×C₄×D₁₃	—	2	1	no	—
613	C₂×C₄×D₁₃	—	2	1	no	—
614	C₂×Dic₂₆	—	2	1	no	—
615	C₂×Dic₂₆	C₂⁴	1	1	yes	characteristic
616	C₁₃×C₄⋊C₄	—	2	1	no	—
617	C₁₃×C₄⋊C₄	—	2	1	no	—
618	C₁₃×C₄⋊C₄	—	2	1	no	—
619	C₁₃×C₄⋊C₄	—	2	1	no	—
620	C₁₃×C₄⋊C₄	—	2	1	no	—
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	—	2	1	no	—
626	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₁₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₁₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
640	C₁₃×C₂²⋊C₄	—	2	1	no	—
641	C₁₃×C₂²⋊C₄	—	2	1	no	—
642	C₁₃×C₂²⋊C₄	—	2	1	no	—
643	C₁₃×C₂²⋊C₄	—	2	1	no	—
644	C₁₃×C₂²⋊C₄	—	2	1	no	—
645	C₁₃×C₂²⋊C₄	—	2	1	no	—
646	C₁₃×C₂²⋊C₄	—	2	1	no	—
647	C₁₃×C₂²⋊C₄	—	2	1	no	—
648	C₁₃×C₂²⋊C₄	—	2	1	no	—
649	C₁₃×C₂²⋊C₄	—	2	1	no	—
650	C₁₃×C₂²⋊C₄	—	2	1	no	—
651	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
652	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
658	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
659	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
660	C₁₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₄²×C₁₃	—	2	1	no	—
662	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
663	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
664	C₂²⋊Dic₁₃	—	2	1	no	—
665	C₂²⋊Dic₁₃	—	2	1	no	—
666	C₂²⋊Dic₁₃	—	2	1	no	—
667	C₂²⋊Dic₁₃	—	2	1	no	—
668	C₂²⋊Dic₁₃	—	2	1	no	—
669	#6107	—	4	1	no	—
670	#6107	—	4	1	no	—
671	#6107	—	4	1	no	—
672	#6106	—	4	1	no	—
673	#6106	—	4	1	no	—
674	#6106	—	4	1	no	—
675	#6106	—	4	1	no	—
676	#6106	—	4	1	no	—
677	#6106	—	4	1	no	—
678	#6106	—	4	1	no	—
679	#6106	—	4	1	no	—
680	#6106	—	4	1	no	—
681	#6105	—	2	2	no	—
682	#6105	—	2	2	no	—
683	#6105	—	4	1	no	—
684	#6104	—	2	2	no	—
685	#6104	—	2	2	no	—
686	#6104	—	2	2	no	—
687	#6104	—	2	2	no	—
688	#6104	—	2	2	no	—
689	#6104	—	2	2	no	—
690	#6104	—	4	1	no	—
691	#6104	—	4	1	no	—
692	#6104	—	4	1	no	—
693	#6103	—	2	1	no	—
694	#6103	—	2	1	no	—
695	#6103	—	2	1	no	—
696	#6103	—	2	1	no	—
697	#6103	—	2	1	no	—
698	#6103	—	2	1	no	—
699	#6103	—	2	1	no	—
700	#6103	—	2	1	no	—
701	#6103	—	2	1	no	—
702	#6103	—	2	1	no	—
703	#6103	—	2	1	no	—
704	#6103	—	2	1	no	—
705	#6103	—	2	1	no	—
706	#6103	—	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	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
712	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
713	C₄⋊Dic₁₃	C₂⁴	1	1	yes	characteristic
714	#6101	—	2	1	no	—
715	#6101	—	2	1	no	—
716	#6101	—	2	1	no	—
717	#6101	—	2	1	no	—
718	#6101	—	2	1	no	—
719	#6101	—	2	1	no	—
720	C₄×Dic₁₃	—	2	1	no	—
721	C₄×Dic₁₃	—	2	1	no	—
722	C₄×Dic₁₃	—	2	1	no	—
723	#6099	—	4	1	no	—
724	#6099	—	4	1	no	—
725	#6099	—	4	1	no	—
726	#6099	—	4	1	no	—
727	C₂×#1055	—	4	1	no	—
728	C₂×#1055	—	4	1	no	—
729	C₂×#1055	—	4	1	no	—
730	C₂×#1055	—	4	1	no	—
731	C₂×#1055	C₂⁴	1	1	yes	characteristic
732	C₂×#1055	C₂⁴	1	1	yes	characteristic
733	C₂×#1055	C₂⁴	1	1	yes	characteristic
734	C₂×#1055	C₂⁴	1	1	yes	characteristic
735	C₂×#1055	C₂⁴	1	1	yes	characteristic
736	C₂×#1055	C₂⁴	1	1	yes	characteristic
737	C₂×#1055	C₂⁴	1	1	yes	characteristic
738	C₂×#1055	C₂⁴	1	1	yes	characteristic
739	#3542	—	13	1	no	—
740	#3485	D₁₃	1	1	yes	characteristic, complemented
741	#3330	—	13	1	no	—
742	#3323	—	13	1	no	—
743	#3319	—	13	1	no	—
744	#3315	—	13	1	no	—
745	#3307	—	13	1	no	—
746	#3306	—	13	1	no	—
747	#3303	—	13	1	no	—
748	#3297	—	13	1	no	—
749	#3284	—	13	1	no	—
750	#3280	—	13	1	no	—
751	#3273	—	13	1	no	—
752	#3272	—	13	1	no	—
753	#3268	—	13	1	no	—
754	#3267	—	13	1	no	—
755	#3267	—	13	1	no	—
756	#3264	—	13	1	no	—
757	#3225	—	13	1	no	—
758	#3221	—	13	1	no	—
759	#3201	—	13	1	no	—
760	#3200	—	13	1	no	—
761	#3197	—	13	1	no	—
762	#3188	—	13	1	no	—
763	#3122	—	13	1	no	—
764	#3118	—	13	1	no	—
765	#3012	—	13	1	no	—
766	#3008	—	13	1	no	—
767	#3006	—	13	1	no	—
768	#3002	—	13	1	no	—
769	#2976	—	13	1	no	—
770	C₂³×C₁₃	—	2	4	no	—
771	C₂³×C₁₃	—	2	1	no	—
772	C₂³×C₁₃	—	2	1	no	—
773	C₂³×C₁₃	—	2	1	no	—
774	C₂³×C₁₃	—	4	1	no	—
775	C₂³×C₁₃	—	4	1	no	—
776	C₂³×C₁₃	—	4	1	no	—
777	C₂³×C₁₃	—	4	2	no	—
778	C₂³×C₁₃	—	4	2	no	—
779	C₂³×C₁₃	—	8	1	no	—
780	C₂³×C₁₃	—	8	1	no	—
781	C₂³×C₁₃	—	8	1	no	—
782	C₂³×C₁₃	—	8	1	no	—
783	C₂³×C₁₃	—	8	1	no	—
784	C₂³×C₁₃	—	8	1	no	—
785	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
786	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
787	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
788	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
789	C₂³×C₁₃	C₂²×D₄	1	1	yes	characteristic
790	C₂²×D₁₃	—	2	1	no	—
791	C₂²×D₁₃	—	2	1	no	—
792	C₂²×D₁₃	—	2	1	no	—
793	C₂²×D₁₃	—	4	2	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	1	no	—
799	Q₈×C₁₃	—	2	1	no	—
800	Q₈×C₁₃	—	2	1	no	—
801	Q₈×C₁₃	—	2	1	no	—
802	Q₈×C₁₃	—	2	1	no	—
803	Q₈×C₁₃	—	2	1	no	—
804	Q₈×C₁₃	—	2	1	no	—
805	Q₈×C₁₃	—	4	1	no	—
806	Q₈×C₁₃	—	4	2	no	—
807	D₄×C₁₃	—	2	4	no	—
808	D₄×C₁₃	—	2	1	no	—
809	D₄×C₁₃	—	2	1	no	—
810	D₄×C₁₃	—	2	1	no	—
811	D₄×C₁₃	—	2	1	no	—
812	D₄×C₁₃	—	4	1	no	—
813	D₄×C₁₃	—	4	1	no	—
814	D₄×C₁₃	—	4	1	no	—
815	D₄×C₁₃	—	4	1	no	—
816	D₄×C₁₃	—	4	1	no	—
817	D₄×C₁₃	—	4	1	no	—
818	D₄×C₁₃	—	4	1	no	—
819	D₄×C₁₃	—	4	2	no	—
820	D₄×C₁₃	—	4	2	no	—
821	D₄×C₁₃	—	4	2	no	—
822	D₄×C₁₃	—	4	2	no	—
823	D₄×C₁₃	—	4	2	no	—
824	D₄×C₁₃	—	4	2	no	—
825	D₄×C₁₃	—	4	2	no	—
826	D₄×C₁₃	—	4	2	no	—
827	D₄×C₁₃	—	4	2	no	—
828	D₄×C₁₃	—	8	1	no	—
829	D₄×C₁₃	—	8	1	no	—
830	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
831	D₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
832	C₂×C₄×C₁₃	—	2	1	no	—
833	C₂×C₄×C₁₃	—	2	1	no	—
834	C₂×C₄×C₁₃	—	2	1	no	—
835	C₂×C₄×C₁₃	—	2	1	no	—
836	C₂×C₄×C₁₃	—	2	1	no	—
837	C₂×C₄×C₁₃	—	2	1	no	—
838	C₂×C₄×C₁₃	—	2	1	no	—
839	C₂×C₄×C₁₃	—	2	1	no	—
840	C₂×C₄×C₁₃	—	2	1	no	—
841	C₂×C₄×C₁₃	—	2	1	no	—
842	C₂×C₄×C₁₃	—	2	1	no	—
843	C₂×C₄×C₁₃	—	2	1	no	—
844	C₂×C₄×C₁₃	—	2	1	no	—
845	C₂×C₄×C₁₃	—	2	1	no	—
846	C₂×C₄×C₁₃	—	2	1	no	—
847	C₂×C₄×C₁₃	—	4	1	no	—
848	C₂×C₄×C₁₃	—	4	1	no	—
849	C₂×C₄×C₁₃	—	4	1	no	—
850	C₂×C₄×C₁₃	—	4	2	no	—
851	C₂×C₄×C₁₃	—	4	2	no	—
852	C₂×C₄×C₁₃	—	4	2	no	—
853	C₂×C₄×C₁₃	—	4	2	no	—
854	C₂×C₄×C₁₃	—	4	2	no	—
855	C₂×C₄×C₁₃	—	4	2	no	—
856	C₂×C₄×C₁₃	—	4	2	no	—
857	C₂×C₄×C₁₃	—	4	2	no	—
858	C₂×C₄×C₁₃	—	8	1	no	—
859	C₂×C₄×C₁₃	—	8	1	no	—
860	C₂×C₄×C₁₃	—	8	1	no	—
861	C₂×C₄×C₁₃	—	8	1	no	—
862	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
863	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
864	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
865	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
866	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
867	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
868	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
869	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
870	C₂×C₄×C₁₃	C₂²×D₄	1	1	yes	characteristic
871	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
872	C₂²⋊D₁₃	—	4	2	no	—
873	C₂²⋊D₁₃	—	8	1	no	—
874	C₂²⋊D₁₃	—	8	1	no	—
875	C₂²⋊D₁₃	—	8	1	no	—
876	C₂²⋊D₁₃	—	8	1	no	—
877	C₂²⋊D₁₃	—	8	1	no	—
878	C₂²⋊D₁₃	—	8	1	no	—
879	C₂²⋊D₁₃	—	8	1	no	—
880	C₂²⋊D₁₃	—	8	1	no	—
881	C₂²⋊D₁₃	—	8	1	no	—
882	C₂²⋊D₁₃	—	8	1	no	—
883	C₂×Dic₁₃	—	2	1	no	—
884	C₂×Dic₁₃	—	2	1	no	—
885	C₂×Dic₁₃	—	2	1	no	—
886	C₂×Dic₁₃	—	2	1	no	—
887	C₂×Dic₁₃	—	2	1	no	—
888	C₂×Dic₁₃	—	4	2	no	—
889	C₂×Dic₁₃	—	8	1	no	—
890	D₅₂	—	2	1	no	—
891	D₅₂	—	2	1	no	—
892	D₅₂	—	2	1	no	—
893	D₅₂	—	2	1	no	—
894	D₅₂	—	2	1	no	—
895	D₅₂	—	2	1	no	—
896	D₅₂	—	8	1	no	—
897	D₅₂	—	8	1	no	—
898	D₅₂	—	8	1	no	—
899	D₅₂	—	8	1	no	—
900	C₄×D₁₃	—	8	1	no	—
901	C₄×D₁₃	—	8	1	no	—
902	C₄×D₁₃	—	8	1	no	—
903	C₄×D₁₃	—	8	1	no	—
904	C₄×D₁₃	—	8	1	no	—
905	Dic₂₆	—	2	1	no	—
906	Dic₂₆	—	2	1	no	—
907	Dic₂₆	—	8	1	no	—
908	#1055	—	2	1	no	—
909	#1055	—	2	1	no	—
910	#1055	—	2	1	no	—
911	#1055	—	2	1	no	—
912	#1055	—	2	1	no	—
913	#1055	—	2	1	no	—
914	#1055	—	2	1	no	—
915	#1055	—	2	1	no	—
916	C₂×H(5,𝔽₂)	C₂×D₁₃	1	1	yes	characteristic, complemented
917	C₂²×#41	C₂×D₁₃	1	1	yes	characteristic, complemented
918	C₂×AGL(1,ℤ/8)	—	13	1	no	—
919	C₂×AGL(1,ℤ/8)	—	13	1	no	—
920	C₂×AGL(1,ℤ/8)	—	13	1	no	—
921	C₂×AGL(1,ℤ/8)	—	13	1	no	—
922	C₂×#135	—	13	1	no	—
923	C₂×#135	—	13	1	no	—
924	C₂×#135	—	13	1	no	—
925	C₂²×D₈	—	13	1	no	—
926	#562	—	26	1	no	—
927	#560	—	26	1	no	—
928	#555	—	13	1	no	—
929	#553	—	13	1	no	—
930	#552	—	13	1	no	—
931	#551	—	26	1	no	—
932	#550	—	13	1	no	—
933	#547	—	2	1	no	—
934	#547	—	2	1	no	—
935	#547	—	13	1	no	—
936	#547	C₂×D₁₃	1	1	yes	characteristic
937	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
938	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
939	#547	C₂×D₁₃	1	1	yes	characteristic, complemented
940	#546	—	2	1	no	—
941	#546	—	2	1	no	—
942	#546	—	13	1	no	—
943	#546	—	13	1	no	—
944	#546	—	26	1	no	—
945	#546	C₂×D₁₃	1	1	yes	characteristic
946	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
947	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
948	#546	C₂×D₁₃	1	1	yes	characteristic, complemented
949	D₄²	—	13	1	no	—
950	#542	—	13	1	no	—
951	#540	—	13	1	no	—
952	#540	—	26	1	no	—
953	#538	—	26	1	no	—
954	#537	—	13	1	no	—
955	#536	C₂×D₁₃	1	1	yes	characteristic, complemented
956	#536	C₂×D₁₃	1	1	yes	characteristic, complemented
957	#535	—	13	1	no	—
958	#535	—	26	1	no	—
959	#534	—	2	1	no	—
960	#534	—	2	1	no	—
961	#534	—	26	1	no	—
962	#525	—	13	1	no	—
963	#525	C₂×D₁₃	1	1	yes	characteristic
964	#525	C₂×D₁₃	1	1	yes	characteristic, complemented
965	C₂×#123	—	2	1	no	—
966	C₂×#123	—	2	1	no	—
967	C₂×#121	—	13	1	no	—
968	#518	C₂×D₁₃	1	1	yes	characteristic, complemented
969	#497	—	13	1	no	—
970	#496	—	13	1	no	—
971	#495	—	13	1	no	—
972	#492	—	13	1	no	—
973	#491	—	13	1	no	—
974	#489	—	13	1	no	—
975	#488	—	13	1	no	—
976	#487	—	13	1	no	—
977	#485	—	13	1	no	—
978	#485	—	13	1	no	—
979	#485	—	13	1	no	—
980	#485	—	13	1	no	—
981	#484	—	13	1	no	—
982	#484	—	13	1	no	—
983	#483	—	13	1	no	—
984	#482	—	13	1	no	—
985	#482	—	13	1	no	—
986	#482	—	13	1	no	—
987	#482	—	13	1	no	—
988	#481	—	13	1	no	—
989	#478	—	13	1	no	—
990	#478	—	13	1	no	—
991	#476	—	13	1	no	—
992	#474	—	13	1	no	—
993	#470	—	13	1	no	—
994	#470	—	13	1	no	—
995	#469	—	13	1	no	—
996	#468	—	13	1	no	—
997	#468	—	13	1	no	—
998	#468	—	13	1	no	—
999	#468	—	13	1	no	—
1000	#468	—	13	1	no	—
1001	#467	—	13	1	no	—
1002	#466	—	13	1	no	—
1003	#466	—	13	1	no	—
1004	#465	—	13	1	no	—
1005	#465	—	13	1	no	—
1006	#465	—	13	1	no	—
1007	#465	—	13	1	no	—
1008	#465	—	13	1	no	—
1009	#464	—	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	—	13	1	no	—
1015	#462	—	13	1	no	—
1016	#461	—	13	1	no	—
1017	#461	—	13	1	no	—
1018	#461	—	13	1	no	—
1019	#459	—	13	1	no	—
1020	#459	—	13	1	no	—
1021	#452	—	13	1	no	—
1022	#452	—	13	1	no	—
1023	#452	—	13	1	no	—
1024	#452	—	13	1	no	—
1025	#452	—	13	1	no	—
1026	#452	—	13	1	no	—
1027	#452	—	13	1	no	—
1028	#451	—	13	1	no	—
1029	#450	—	13	1	no	—
1030	#450	—	13	1	no	—
1031	#450	—	13	1	no	—
1032	#450	—	13	1	no	—
1033	#450	—	13	1	no	—
1034	#449	—	13	1	no	—
1035	#449	—	13	1	no	—
1036	#449	—	13	1	no	—
1037	#449	—	13	1	no	—
1038	#449	—	13	1	no	—
1039	#449	—	13	1	no	—
1040	#449	—	13	1	no	—
1041	#449	—	13	1	no	—
1042	#449	—	13	1	no	—
1043	#449	—	13	1	no	—
1044	#449	—	13	1	no	—
1045	#449	—	13	1	no	—
1046	#449	—	13	1	no	—
1047	#448	—	13	1	no	—
1048	#448	—	13	1	no	—
1049	#448	—	13	1	no	—
1050	#447	—	13	1	no	—
1051	#447	—	13	1	no	—
1052	#447	—	13	1	no	—
1053	#447	—	13	1	no	—
1054	#447	—	13	1	no	—
1055	#447	—	13	1	no	—
1056	#447	—	13	1	no	—
1057	#442	—	13	1	no	—
1058	#442	—	13	1	no	—
1059	#442	—	13	1	no	—
1060	#440	—	13	1	no	—
1061	C₄×SD₁₆	—	13	1	no	—
1062	C₄×D₈	—	13	1	no	—
1063	C₄×D₈	—	13	1	no	—
1064	C₄×D₈	—	13	1	no	—
1065	#436	—	13	1	no	—
1066	#436	—	13	1	no	—
1067	#435	—	13	1	no	—
1068	#435	—	13	1	no	—
1069	#435	—	13	1	no	—
1070	#435	—	13	1	no	—
1071	C₈×D₄	—	13	1	no	—
1072	C₈×D₄	—	13	1	no	—
1073	#433	—	13	1	no	—
1074	#433	—	13	1	no	—
1075	#418	—	13	1	no	—
1076	#417	—	13	1	no	—
1077	#417	—	13	1	no	—
1078	#417	—	13	1	no	—
1079	#416	—	13	1	no	—
1080	#416	—	13	1	no	—
1081	#416	—	13	1	no	—
1082	C₂×#102	—	13	1	no	—
1083	#408	—	13	1	no	—
1084	#408	—	13	1	no	—
1085	#407	—	13	1	no	—
1086	C₂×C₂²⋊C₈	—	13	1	no	—
1087	C₂²×C₁₃	—	2	1	no	—
1088	C₂²×C₁₃	—	2	1	no	—
1089	C₂²×C₁₃	—	2	1	no	—
1090	C₂²×C₁₃	—	2	1	no	—
1091	C₂²×C₁₃	—	2	1	no	—
1092	C₂²×C₁₃	—	2	1	no	—
1093	C₂²×C₁₃	—	2	1	no	—
1094	C₂²×C₁₃	—	2	1	no	—
1095	C₂²×C₁₃	—	2	1	no	—
1096	C₂²×C₁₃	—	2	1	no	—
1097	C₂²×C₁₃	—	2	1	no	—
1098	C₂²×C₁₃	—	2	1	no	—
1099	C₂²×C₁₃	—	2	1	no	—
1100	C₂²×C₁₃	—	2	1	no	—
1101	C₂²×C₁₃	—	2	1	no	—
1102	C₂²×C₁₃	—	2	2	no	—
1103	C₂²×C₁₃	—	2	2	no	—
1104	C₂²×C₁₃	—	4	1	no	—
1105	C₂²×C₁₃	—	4	1	no	—
1106	C₂²×C₁₃	—	4	1	no	—
1107	C₂²×C₁₃	—	4	1	no	—
1108	C₂²×C₁₃	—	4	1	no	—
1109	C₂²×C₁₃	—	4	1	no	—
1110	C₂²×C₁₃	—	4	1	no	—
1111	C₂²×C₁₃	—	8	4	no	—
1112	C₂²×C₁₃	—	8	2	no	—
1113	C₂²×C₁₃	—	16	2	no	—
1114	C₂²×C₁₃	—	16	2	no	—
1115	C₂²×C₁₃	C₂³×D₄	1	1	yes	characteristic
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	—	4	1	no	—
1124	C₂×D₁₃	—	4	1	no	—
1125	C₂×D₁₃	—	16	2	no	—
1126	C₂×D₁₃	—	16	2	no	—
1127	C₄×C₁₃	—	2	1	no	—
1128	C₄×C₁₃	—	2	1	no	—
1129	C₄×C₁₃	—	2	1	no	—
1130	C₄×C₁₃	—	2	1	no	—
1131	C₄×C₁₃	—	2	1	no	—
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	—	4	1	no	—
1141	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1142	C₄×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1143	Dic₁₃	—	4	1	no	—
1144	Dic₁₃	—	4	1	no	—
1145	Dic₁₃	—	4	1	no	—
1146	Dic₁₃	—	4	1	no	—
1147	Dic₁₃	—	4	1	no	—
1148	H(5,𝔽₂)	—	4	2	no	—
1149	H(5,𝔽₂)	—	4	2	no	—
1150	C₂×#41	—	2	1	no	—
1151	C₂×#41	—	2	1	no	—
1152	C₂×#41	—	2	1	no	—
1153	C₂×#41	—	4	2	no	—
1154	C₂×#41	—	4	2	no	—
1155	C₂×#41	—	13	1	no	—
1156	C₂×#41	—	13	1	no	—
1157	C₂×#41	—	26	1	no	—
1158	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1159	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1160	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1161	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1162	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1163	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1164	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1165	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
1166	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1167	C₂²×D₄	—	2	1	no	—
1168	C₂²×D₄	—	2	1	no	—
1169	C₂²×D₄	—	2	1	no	—
1170	C₂²×D₄	—	2	1	no	—
1171	C₂²×D₄	—	13	1	no	—
1172	C₂²×D₄	—	13	1	no	—
1173	C₂²×D₄	—	26	1	no	—
1174	C₂²×D₄	—	26	1	no	—
1175	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1176	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1177	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1178	C₂³×C₄	—	2	1	no	—
1179	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1180	AGL(1,ℤ/8)	—	52	2	no	—
1181	AGL(1,ℤ/8)	—	52	2	no	—
1182	AGL(1,ℤ/8)	—	52	2	no	—
1183	AGL(1,ℤ/8)	—	52	2	no	—
1184	#135	—	52	2	no	—
1185	#135	—	52	2	no	—
1186	#135	—	52	2	no	—
1187	C₂×Q₁₆	—	13	1	no	—
1188	C₂×Q₁₆	—	13	1	no	—
1189	C₂×Q₁₆	—	13	1	no	—
1190	C₂×SD₁₆	—	13	1	no	—
1191	C₂×SD₁₆	—	13	1	no	—
1192	C₂×SD₁₆	—	13	1	no	—
1193	C₂×SD₁₆	—	13	1	no	—
1194	C₂×SD₁₆	—	13	1	no	—
1195	C₂×SD₁₆	—	13	1	no	—
1196	C₂×SD₁₆	—	13	1	no	—
1197	C₂×SD₁₆	—	13	1	no	—
1198	C₂×SD₁₆	—	13	1	no	—
1199	C₂×SD₁₆	—	13	1	no	—
1200	C₂×SD₁₆	—	13	1	no	—
1201	C₂×SD₁₆	—	13	1	no	—
1202	C₂×D₈	—	13	1	no	—
1203	C₂×D₈	—	13	1	no	—
1204	C₂×D₈	—	13	1	no	—
1205	C₂×D₈	—	13	1	no	—
1206	C₂×D₈	—	13	1	no	—
1207	C₂×D₈	—	13	1	no	—
1208	C₂×D₈	—	13	1	no	—
1209	C₂×D₈	—	13	1	no	—
1210	C₂×D₈	—	13	1	no	—
1211	C₂×D₈	—	52	2	no	—
1212	C₂×M₁₆	—	13	1	no	—
1213	C₂×M₁₆	—	13	1	no	—
1214	C₂×M₁₆	—	13	1	no	—
1215	C₂×M₁₆	—	13	1	no	—
1216	C₂²×C₈	—	13	1	no	—
1217	C₂²×C₈	—	13	1	no	—
1218	C₂²×C₈	—	13	1	no	—
1219	C₂²×C₈	—	13	1	no	—
1220	C₄⋊Q₈	—	2	1	no	—
1221	C₄⋊Q₈	—	13	1	no	—
1222	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1223	C₄⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1224	#127	—	13	1	no	—
1225	#127	—	26	1	no	—
1226	#127	—	26	1	no	—
1227	#126	—	26	1	no	—
1228	#126	—	26	1	no	—
1229	#126	—	26	1	no	—
1230	#125	—	13	1	no	—
1231	#125	—	26	1	no	—
1232	#124	—	2	1	no	—
1233	#124	—	13	1	no	—
1234	#124	—	26	1	no	—
1235	#124	—	26	1	no	—
1236	#124	—	26	1	no	—
1237	#124	—	26	1	no	—
1238	#124	C₂²×D₁₃	1	1	yes	characteristic
1239	#124	C₂²×D₁₃	1	1	yes	characteristic
1240	#123	—	2	1	no	—
1241	#123	—	2	1	no	—
1242	#123	—	2	1	no	—
1243	#123	—	2	1	no	—
1244	#123	—	2	1	no	—
1245	#123	—	2	1	no	—
1246	#123	—	2	1	no	—
1247	#123	—	2	1	no	—
1248	#123	—	2	1	no	—
1249	#123	—	2	1	no	—
1250	#123	—	2	1	no	—
1251	#123	—	2	1	no	—
1252	#123	—	2	1	no	—
1253	#123	—	2	1	no	—
1254	#123	—	2	1	no	—
1255	#123	—	2	1	no	—
1256	#123	—	2	1	no	—
1257	#123	—	26	1	no	—
1258	#123	—	26	1	no	—
1259	#123	—	26	1	no	—
1260	#123	—	26	1	no	—
1261	#123	—	26	1	no	—
1262	#123	—	26	1	no	—
1263	#123	—	26	1	no	—
1264	#123	—	26	1	no	—
1265	#123	—	26	1	no	—
1266	#123	—	26	1	no	—
1267	#123	C₂²⋊D₁₃	1	1	yes	characteristic
1268	#123	C₂²⋊D₁₃	1	1	yes	characteristic
1269	C₂²⋊Q₈	—	2	1	no	—
1270	C₂²⋊Q₈	—	2	1	no	—
1271	C₂²⋊Q₈	—	13	1	no	—
1272	C₂²⋊Q₈	—	13	1	no	—
1273	C₂²⋊Q₈	—	13	1	no	—
1274	C₂²⋊Q₈	—	26	1	no	—
1275	C₂²⋊Q₈	—	26	1	no	—
1276	C₂²⋊Q₈	—	26	1	no	—
1277	C₂²⋊Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1278	C₂²⋊Q₈	C₂²⋊D₁₃	1	1	yes	characteristic
1279	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1280	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1281	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1282	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1283	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1284	C₂²⋊Q₈	C₂²×D₁₃	1	1	yes	characteristic
1285	#121	—	2	1	no	—
1286	#121	—	2	1	no	—
1287	#121	—	2	1	no	—
1288	#121	—	2	1	no	—
1289	#121	—	2	1	no	—
1290	#121	—	2	1	no	—
1291	#121	—	2	1	no	—
1292	#121	—	2	1	no	—
1293	#121	—	13	1	no	—
1294	#121	—	13	1	no	—
1295	#121	—	13	1	no	—
1296	#121	—	13	1	no	—
1297	#121	—	13	1	no	—
1298	#121	—	13	1	no	—
1299	#121	—	13	1	no	—
1300	#121	—	13	1	no	—
1301	#121	—	13	1	no	—
1302	#121	—	26	1	no	—
1303	#121	—	26	1	no	—
1304	#121	—	26	1	no	—
1305	#121	—	26	1	no	—
1306	#121	—	26	1	no	—
1307	#121	—	26	1	no	—
1308	#121	—	26	1	no	—
1309	#121	—	26	1	no	—
1310	#121	—	26	1	no	—
1311	#121	—	26	1	no	—
1312	#121	—	26	1	no	—
1313	#121	—	26	1	no	—
1314	#121	—	26	1	no	—
1315	#121	—	26	1	no	—
1316	#121	C₂²⋊D₁₃	1	1	yes	characteristic
1317	#121	C₂²⋊D₁₃	1	1	yes	characteristic
1318	#121	C₂²×D₁₃	1	1	yes	characteristic
1319	#121	C₂²×D₁₃	1	1	yes	characteristic
1320	#120	—	2	1	no	—
1321	#120	—	2	1	no	—
1322	#120	—	2	1	no	—
1323	#120	—	2	1	no	—
1324	#120	—	2	1	no	—
1325	#120	—	26	1	no	—
1326	#120	—	26	1	no	—
1327	#120	—	26	1	no	—
1328	#120	—	26	1	no	—
1329	#120	—	26	1	no	—
1330	#120	—	26	1	no	—
1331	#120	—	26	1	no	—
1332	#120	C₂²⋊D₁₃	1	1	yes	characteristic
1333	#120	C₂²⋊D₁₃	1	1	yes	characteristic
1334	C₄×Q₈	—	13	1	no	—
1335	C₄×D₄	—	2	1	no	—
1336	C₄×D₄	—	2	1	no	—
1337	C₄×D₄	—	2	1	no	—
1338	C₄×D₄	—	2	1	no	—
1339	C₄×D₄	—	13	1	no	—
1340	C₄×D₄	—	13	1	no	—
1341	C₄×D₄	—	13	1	no	—
1342	C₄×D₄	—	26	1	no	—
1343	C₄×D₄	—	26	1	no	—
1344	C₄×D₄	—	26	1	no	—
1345	C₄×D₄	—	26	1	no	—
1346	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1347	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1348	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1349	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1350	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1351	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1352	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1353	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
1354	#117	—	13	1	no	—
1355	#117	—	13	1	no	—
1356	#117	—	26	1	no	—
1357	#117	—	26	1	no	—
1358	#117	C₂²×D₁₃	1	1	yes	characteristic
1359	#117	C₂²×D₁₃	1	1	yes	characteristic
1360	C₂×C₄⋊C₄	—	2	1	no	—
1361	C₂×C₄⋊C₄	—	2	1	no	—
1362	C₂×C₄⋊C₄	—	2	1	no	—
1363	C₂×C₄⋊C₄	—	2	1	no	—
1364	C₂×C₄⋊C₄	—	13	1	no	—
1365	C₂×C₄⋊C₄	—	13	1	no	—
1366	C₂×C₂²⋊C₄	—	2	1	no	—
1367	C₂×C₂²⋊C₄	—	2	1	no	—
1368	C₂×C₂²⋊C₄	—	2	1	no	—
1369	C₂×C₂²⋊C₄	—	2	1	no	—
1370	C₂×C₂²⋊C₄	—	2	1	no	—
1371	C₂×C₂²⋊C₄	—	2	1	no	—
1372	C₂×C₂²⋊C₄	—	26	1	no	—
1373	C₂×C₂²⋊C₄	—	26	1	no	—
1374	C₂×C₂²⋊C₄	—	26	1	no	—
1375	#107	—	13	1	no	—
1376	#107	—	13	1	no	—
1377	#107	—	13	1	no	—
1378	#107	—	13	1	no	—
1379	#106	—	13	1	no	—
1380	#106	—	13	1	no	—
1381	#106	—	13	1	no	—
1382	#106	—	13	1	no	—
1383	C₄⋊C₈	—	13	1	no	—
1384	C₄⋊C₈	—	13	1	no	—
1385	C₄⋊C₈	—	13	1	no	—
1386	C₄⋊C₈	—	13	1	no	—
1387	#103	—	13	1	no	—
1388	#103	—	13	1	no	—
1389	#103	—	13	1	no	—
1390	#103	—	13	1	no	—
1391	#103	—	13	1	no	—
1392	#103	—	13	1	no	—
1393	#103	—	13	1	no	—
1394	#103	—	13	1	no	—
1395	#103	—	13	1	no	—
1396	#103	—	13	1	no	—
1397	#103	—	13	1	no	—
1398	#103	—	13	1	no	—
1399	#103	—	13	1	no	—
1400	#103	—	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	—	13	1	no	—
1415	#102	—	13	1	no	—
1416	#102	—	13	1	no	—
1417	#102	—	13	1	no	—
1418	#102	—	13	1	no	—
1419	C₂²⋊C₈	—	13	1	no	—
1420	C₂²⋊C₈	—	13	1	no	—
1421	C₂²⋊C₈	—	13	1	no	—
1422	C₂²⋊C₈	—	13	1	no	—
1423	C₂²⋊C₈	—	13	1	no	—
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	—	13	1	no	—
1431	#97	—	13	1	no	—
1432	#97	—	13	1	no	—
1433	C₄×C₈	—	13	1	no	—
1434	C₄×C₈	—	13	1	no	—
1435	C₂×C₁₃	—	4	1	no	—
1436	C₂×C₁₃	—	4	1	no	—
1437	C₂×C₁₃	—	4	1	no	—
1438	C₂×C₁₃	—	4	1	no	—
1439	C₂×C₁₃	—	4	1	no	—
1440	C₂×C₁₃	—	4	2	no	—
1441	C₂×C₁₃	—	4	2	no	—
1442	C₂×C₁₃	—	8	1	no	—
1443	C₂×C₁₃	#3484	1	1	yes	characteristic
1444	C₂×C₁₃	#3584	1	1	yes	characteristic
1445	C₂×C₁₃	#3585	1	1	yes	characteristic
1446	D₁₃	—	8	1	no	—
1447	D₁₃	—	8	1	no	—
1448	D₁₃	—	8	1	no	—
1449	C₂⁴	—	2	1	no	—
1450	C₂⁴	—	2	1	no	—
1451	C₂⁴	—	2	1	no	—
1452	C₂⁴	—	26	1	no	—
1453	C₂⁴	—	26	1	no	—
1454	C₂⁴	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1455	#41	—	2	2	no	—
1456	#41	—	2	2	no	—
1457	#41	—	2	2	no	—
1458	#41	—	2	2	no	—
1459	#41	—	2	2	no	—
1460	#41	—	2	2	no	—
1461	#41	—	4	1	no	—
1462	#41	—	4	1	no	—
1463	#41	—	4	1	no	—
1464	#41	—	4	1	no	—
1465	#41	—	4	1	no	—
1466	#41	—	4	1	no	—
1467	#41	—	4	1	no	—
1468	#41	—	4	1	no	—
1469	#41	—	4	1	no	—
1470	#41	—	4	1	no	—
1471	#41	—	4	4	no	—
1472	#41	—	4	4	no	—
1473	#41	—	4	4	no	—
1474	#41	—	52	1	no	—
1475	#41	—	52	1	no	—
1476	#41	—	52	1	no	—
1477	#41	—	52	1	no	—
1478	#41	—	104	2	no	—
1479	C₂×Q₈	—	2	1	no	—
1480	C₂×Q₈	—	4	1	no	—
1481	C₂×Q₈	—	4	1	no	—
1482	C₂×Q₈	—	13	1	no	—
1483	C₂×Q₈	—	26	1	no	—
1484	C₂×Q₈	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1485	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1486	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1487	C₂×Q₈	C₂³×D₁₃	1	1	yes	characteristic
1488	C₂×D₄	—	2	2	no	—
1489	C₂×D₄	—	2	2	no	—
1490	C₂×D₄	—	2	2	no	—
1491	C₂×D₄	—	2	2	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	2	1	no	—
1498	C₂×D₄	—	2	1	no	—
1499	C₂×D₄	—	2	1	no	—
1500	C₂×D₄	—	2	1	no	—
1501	C₂×D₄	—	2	1	no	—
1502	C₂×D₄	—	2	1	no	—
1503	C₂×D₄	—	2	1	no	—
1504	C₂×D₄	—	4	1	no	—
1505	C₂×D₄	—	4	1	no	—
1506	C₂×D₄	—	4	4	no	—
1507	C₂×D₄	—	4	4	no	—
1508	C₂×D₄	—	4	4	no	—
1509	C₂×D₄	—	4	4	no	—
1510	C₂×D₄	—	13	1	no	—
1511	C₂×D₄	—	13	1	no	—
1512	C₂×D₄	—	13	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	1	no	—
1520	C₂×D₄	—	26	1	no	—
1521	C₂×D₄	—	26	1	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	—	52	1	no	—
1529	C₂×D₄	—	52	1	no	—
1530	C₂×D₄	—	52	1	no	—
1531	C₂×D₄	—	52	1	no	—
1532	C₂×D₄	—	104	2	no	—
1533	C₂×D₄	—	104	2	no	—
1534	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1535	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1536	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1537	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1538	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1539	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1540	C₂×D₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1541	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1542	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1543	C₂×D₄	C₂³×D₁₃	1	1	yes	characteristic
1544	C₂²×C₄	—	2	1	no	—
1545	C₂²×C₄	—	2	1	no	—
1546	C₂²×C₄	—	2	1	no	—
1547	C₂²×C₄	—	2	1	no	—
1548	C₂²×C₄	—	2	1	no	—
1549	C₂²×C₄	—	2	1	no	—
1550	C₂²×C₄	—	2	1	no	—
1551	C₂²×C₄	—	2	1	no	—
1552	C₂²×C₄	—	2	1	no	—
1553	C₂²×C₄	—	2	1	no	—
1554	C₂²×C₄	—	2	1	no	—
1555	C₂²×C₄	—	2	1	no	—
1556	C₂²×C₄	—	4	1	no	—
1557	C₂²×C₄	—	4	1	no	—
1558	C₂²×C₄	—	4	4	no	—
1559	C₂²×C₄	—	26	1	no	—
1560	C₂²×C₄	—	26	1	no	—
1561	C₂²×C₄	—	26	1	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	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1567	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1568	C₂²×C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1569	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1570	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1571	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1572	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1573	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1574	Q₁₆	—	52	1	no	—
1575	Q₁₆	—	52	1	no	—
1576	Q₁₆	—	52	1	no	—
1577	SD₁₆	—	26	2	no	—
1578	SD₁₆	—	26	2	no	—
1579	SD₁₆	—	52	1	no	—
1580	SD₁₆	—	52	1	no	—
1581	SD₁₆	—	52	1	no	—
1582	SD₁₆	—	52	1	no	—
1583	SD₁₆	—	52	1	no	—
1584	SD₁₆	—	52	1	no	—
1585	SD₁₆	—	52	1	no	—
1586	SD₁₆	—	52	1	no	—
1587	SD₁₆	—	52	1	no	—
1588	SD₁₆	—	52	1	no	—
1589	D₈	—	26	2	no	—
1590	D₈	—	26	2	no	—
1591	D₈	—	26	2	no	—
1592	D₈	—	26	2	no	—
1593	D₈	—	26	2	no	—
1594	D₈	—	26	2	no	—
1595	D₈	—	52	1	no	—
1596	D₈	—	52	1	no	—
1597	D₈	—	52	1	no	—
1598	M₁₆	—	52	1	no	—
1599	M₁₆	—	52	1	no	—
1600	M₁₆	—	52	1	no	—
1601	M₁₆	—	52	1	no	—
1602	C₂×C₈	—	13	1	no	—
1603	C₂×C₈	—	13	1	no	—
1604	C₂×C₈	—	13	1	no	—
1605	C₂×C₈	—	13	1	no	—
1606	C₂×C₈	—	13	1	no	—
1607	C₂×C₈	—	13	1	no	—
1608	C₂×C₈	—	13	1	no	—
1609	C₂×C₈	—	13	1	no	—
1610	C₂×C₈	—	52	1	no	—
1611	C₂×C₈	—	52	1	no	—
1612	C₂×C₈	—	52	1	no	—
1613	C₂×C₈	—	52	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	2	1	no	—
1619	C₄⋊C₄	—	2	1	no	—
1620	C₄⋊C₄	—	2	1	no	—
1621	C₄⋊C₄	—	2	1	no	—
1622	C₄⋊C₄	—	2	1	no	—
1623	C₄⋊C₄	—	2	1	no	—
1624	C₄⋊C₄	—	13	1	no	—
1625	C₄⋊C₄	—	13	1	no	—
1626	C₄⋊C₄	—	13	1	no	—
1627	C₄⋊C₄	—	13	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	—	26	1	no	—
1633	C₄⋊C₄	—	26	1	no	—
1634	C₄⋊C₄	—	26	1	no	—
1635	C₄⋊C₄	—	26	1	no	—
1636	C₄⋊C₄	—	26	1	no	—
1637	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1638	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1639	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1640	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1641	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1642	C₄⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1643	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1644	C₄⋊C₄	C₂³×D₁₃	1	1	yes	characteristic
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	—	2	1	no	—
1660	C₂²⋊C₄	—	2	1	no	—
1661	C₂²⋊C₄	—	2	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	—	26	1	no	—
1681	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1682	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1683	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1684	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1685	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1686	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1687	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1688	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1689	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1690	C₂²⋊C₄	C₂×C₂²⋊D₁₃	1	1	yes	characteristic
1691	C₄²	—	2	1	no	—
1692	C₄²	—	26	1	no	—
1693	C₄²	—	26	1	no	—
1694	C₄²	—	26	1	no	—
1695	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1696	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1697	C₁₃	#61614	1	1	yes	characteristic, complemented, Sylow
1698	C₂³	—	2	4	no	—
1699	C₂³	—	2	1	no	—
1700	C₂³	—	2	1	no	—
1701	C₂³	—	2	1	no	—
1702	C₂³	—	4	1	no	—
1703	C₂³	—	4	1	no	—
1704	C₂³	—	4	1	no	—
1705	C₂³	—	4	2	no	—
1706	C₂³	—	4	2	no	—
1707	C₂³	—	8	1	no	—
1708	C₂³	—	8	1	no	—
1709	C₂³	—	8	1	no	—
1710	C₂³	—	8	1	no	—
1711	C₂³	—	8	1	no	—
1712	C₂³	—	8	1	no	—
1713	C₂³	—	26	1	no	—
1714	C₂³	—	26	1	no	—
1715	C₂³	—	26	1	no	—
1716	C₂³	—	52	2	no	—
1717	C₂³	—	104	1	no	—
1718	C₂³	—	104	1	no	—
1719	C₂³	—	104	1	no	—
1720	C₂³	—	104	1	no	—
1721	C₂³	—	104	1	no	—
1722	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1723	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1724	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1725	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1726	C₂³	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1727	Q₈	—	2	1	no	—
1728	Q₈	—	2	1	no	—
1729	Q₈	—	2	1	no	—
1730	Q₈	—	2	1	no	—
1731	Q₈	—	2	1	no	—
1732	Q₈	—	2	1	no	—
1733	Q₈	—	4	1	no	—
1734	Q₈	—	4	2	no	—
1735	Q₈	—	26	1	no	—
1736	Q₈	—	26	1	no	—
1737	Q₈	—	104	1	no	—
1738	D₄	—	2	4	no	—
1739	D₄	—	2	1	no	—
1740	D₄	—	2	1	no	—
1741	D₄	—	2	1	no	—
1742	D₄	—	2	1	no	—
1743	D₄	—	4	1	no	—
1744	D₄	—	4	1	no	—
1745	D₄	—	4	1	no	—
1746	D₄	—	4	1	no	—
1747	D₄	—	4	1	no	—
1748	D₄	—	4	1	no	—
1749	D₄	—	4	1	no	—
1750	D₄	—	4	2	no	—
1751	D₄	—	4	2	no	—
1752	D₄	—	4	2	no	—
1753	D₄	—	4	2	no	—
1754	D₄	—	4	2	no	—
1755	D₄	—	4	2	no	—
1756	D₄	—	4	2	no	—
1757	D₄	—	4	2	no	—
1758	D₄	—	4	2	no	—
1759	D₄	—	8	1	no	—
1760	D₄	—	8	1	no	—
1761	D₄	—	26	1	no	—
1762	D₄	—	26	1	no	—
1763	D₄	—	26	1	no	—
1764	D₄	—	26	1	no	—
1765	D₄	—	26	1	no	—
1766	D₄	—	26	1	no	—
1767	D₄	—	52	2	no	—
1768	D₄	—	104	1	no	—
1769	D₄	—	104	1	no	—
1770	D₄	—	104	1	no	—
1771	D₄	—	104	1	no	—
1772	D₄	—	104	1	no	—
1773	D₄	—	104	1	no	—
1774	D₄	—	104	1	no	—
1775	D₄	—	104	1	no	—
1776	D₄	—	104	1	no	—
1777	D₄	—	104	1	no	—
1778	D₄	—	104	1	no	—
1779	D₄	—	104	1	no	—
1780	D₄	—	104	1	no	—
1781	D₄	—	104	1	no	—
1782	D₄	#88251	1	2	yes	—
1783	D₄	#88251	1	2	yes	—
1784	C₂×C₄	—	2	1	no	—
1785	C₂×C₄	—	2	1	no	—
1786	C₂×C₄	—	2	1	no	—
1787	C₂×C₄	—	2	1	no	—
1788	C₂×C₄	—	2	1	no	—
1789	C₂×C₄	—	2	1	no	—
1790	C₂×C₄	—	2	1	no	—
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	—	4	1	no	—
1800	C₂×C₄	—	4	1	no	—
1801	C₂×C₄	—	4	1	no	—
1802	C₂×C₄	—	4	2	no	—
1803	C₂×C₄	—	4	2	no	—
1804	C₂×C₄	—	4	2	no	—
1805	C₂×C₄	—	4	2	no	—
1806	C₂×C₄	—	4	2	no	—
1807	C₂×C₄	—	4	2	no	—
1808	C₂×C₄	—	4	2	no	—
1809	C₂×C₄	—	4	2	no	—
1810	C₂×C₄	—	8	1	no	—
1811	C₂×C₄	—	8	1	no	—
1812	C₂×C₄	—	8	1	no	—
1813	C₂×C₄	—	8	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	—	52	2	no	—
1820	C₂×C₄	—	104	1	no	—
1821	C₂×C₄	—	104	1	no	—
1822	C₂×C₄	—	104	1	no	—
1823	C₂×C₄	—	104	1	no	—
1824	C₂×C₄	—	104	1	no	—
1825	C₂×C₄	—	104	1	no	—
1826	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1827	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1828	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1829	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1830	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1831	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1832	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1833	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1834	C₂×C₄	C₂²×C₂²⋊D₁₃	1	1	yes	characteristic
1835	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1836	C₈	—	26	1	no	—
1837	C₈	—	26	1	no	—
1838	C₈	—	26	1	no	—
1839	C₈	—	26	1	no	—
1840	C₈	—	26	1	no	—
1841	C₈	—	26	1	no	—
1842	C₈	—	26	1	no	—
1843	C₈	—	26	1	no	—
1844	C₂²	—	2	1	no	—
1845	C₂²	—	2	1	no	—
1846	C₂²	—	2	1	no	—
1847	C₂²	—	2	1	no	—
1848	C₂²	—	2	1	no	—
1849	C₂²	—	2	2	no	—
1850	C₂²	—	2	2	no	—
1851	C₂²	—	2	1	no	—
1852	C₂²	—	2	1	no	—
1853	C₂²	—	2	1	no	—
1854	C₂²	—	2	1	no	—
1855	C₂²	—	2	1	no	—
1856	C₂²	—	2	1	no	—
1857	C₂²	—	2	1	no	—
1858	C₂²	—	2	1	no	—
1859	C₂²	—	2	1	no	—
1860	C₂²	—	2	1	no	—
1861	C₂²	—	4	1	no	—
1862	C₂²	—	4	1	no	—
1863	C₂²	—	4	1	no	—
1864	C₂²	—	4	1	no	—
1865	C₂²	—	4	1	no	—
1866	C₂²	—	4	1	no	—
1867	C₂²	—	4	1	no	—
1868	C₂²	—	8	4	no	—
1869	C₂²	—	8	2	no	—
1870	C₂²	—	16	2	no	—
1871	C₂²	—	16	2	no	—
1872	C₂²	—	52	1	no	—
1873	C₂²	—	52	1	no	—
1874	C₂²	—	52	1	no	—
1875	C₂²	—	52	1	no	—
1876	C₂²	—	52	1	no	—
1877	C₂²	—	52	1	no	—
1878	C₂²	—	52	1	no	—
1879	C₂²	—	52	1	no	—
1880	C₂²	—	52	1	no	—
1881	C₂²	—	208	2	no	—
1882	C₂²	—	208	2	no	—
1883	C₂²	C₂³×C₂²⋊D₁₃	1	1	yes	characteristic
1884	C₄	—	2	1	no	—
1885	C₄	—	2	1	no	—
1886	C₄	—	2	1	no	—
1887	C₄	—	2	1	no	—
1888	C₄	—	2	1	no	—
1889	C₄	—	2	1	no	—
1890	C₄	—	2	1	no	—
1891	C₄	—	2	1	no	—
1892	C₄	—	2	1	no	—
1893	C₄	—	4	1	no	—
1894	C₄	—	4	1	no	—
1895	C₄	—	4	1	no	—
1896	C₄	—	4	1	no	—
1897	C₄	—	4	1	no	—
1898	C₄	—	52	1	no	—
1899	C₄	—	52	1	no	—
1900	C₄	—	52	1	no	—
1901	C₄	—	52	1	no	—
1902	C₄	—	52	1	no	—
1903	C₄	C₂×#88251	1	1	yes	characteristic
1904	C₄	C₂×#88251	1	1	yes	characteristic
1905	C₂	—	4	1	no	—
1906	C₂	—	4	1	no	—
1907	C₂	—	4	1	no	—
1908	C₂	—	4	1	no	—
1909	C₂	—	4	1	no	—
1910	C₂	—	4	2	no	—
1911	C₂	—	4	2	no	—
1912	C₂	—	8	1	no	—
1913	C₂	—	104	1	no	—
1914	C₂	—	104	1	no	—
1915	C₂	—	104	1	no	—
1916	C₂	#13128471	1	1	yes	characteristic
1917	C₂	#13129607	1	1	yes	characteristic
1918	C₂	#13129615	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₁₃
commutator, cosocle	C₂×C₄×C₁₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₃
Fitting	C₁₃×#3485	C₂
socle	C₂²×C₁₃	C₂³×D₄
hypercenter	#3485	D₁₃
hypocenter	C₁₃	#61614
LCS	G ▷ C₂×C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3485

Complements

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

N	H ≅ G/N	type
1. #13129152	C₂	semidirect
2. #13127141	C₂	semidirect
3. #13127052	C₂	semidirect
4. #13126992	C₂	semidirect
5. #13126932	C₂	semidirect
6. #13126812	C₂	semidirect
7. #13126797	C₂	semidirect
8. #13126764	C₂	semidirect
9. #13126686	C₂	semidirect
10. #13126562	C₂	semidirect
11. #13126517	C₂	semidirect
12. #13126443	C₂	semidirect
13. #13126436	C₂	semidirect
14. #13126372	C₂	semidirect
15. #13126362	C₂	semidirect
16. #13126362	C₂	semidirect
17. #13126317	C₂	semidirect
18. #13125945	C₂	semidirect
19. #13125897	C₂	semidirect
20. #13125718	C₂	semidirect
21. #13125703	C₂	semidirect
22. #13125673	C₂	semidirect
23. #13125597	C₂	semidirect
24. #13125079	C₂	semidirect
25. #13125020	C₂	semidirect
26. #13124140	C₂	semidirect
27. #13124104	C₂	semidirect
28. #13124088	C₂	semidirect
29. #13124054	C₂	semidirect
30. #13123884	C₂	semidirect
31. C₁₃×#3485	C₂	semidirect
32. C₂×C₁₃×H(5,𝔽₂)	C₂²	semidirect
33. C₂²×C₁₃×#41	C₂²	semidirect
37. C₁₃×#547	C₂²	semidirect
38. C₁₃×#547	C₂²	semidirect
39. C₁₃×#547	C₂²	semidirect
43. C₁₃×#546	C₂²	semidirect
44. C₁₃×#546	C₂²	semidirect
45. C₁₃×#546	C₂²	semidirect
46. C₁₃×#536	C₂²	semidirect
47. C₁₃×#536	C₂²	semidirect
51. C₁₃×#525	C₂²	semidirect
54. C₁₃×#518	C₂²	semidirect
57. C₂×#88204	C₂²	semidirect
58. C₂×#88204	C₂²	semidirect
59. C₂×#88204	C₂²	semidirect
60. C₂×#88203	C₂²	semidirect
61. C₂×#88203	C₂²	semidirect
62. C₂×#88203	C₂²	semidirect
63. C₂×#88186	C₂²	semidirect
64. C₂²×#6104	C₂²	semidirect
65. #11719496	C₂²	semidirect
66. C₂×#88184	C₂²	semidirect
75. #11719270	C₂²	semidirect
76. #11719268	C₂²	semidirect
77. #11719260	C₂²	semidirect
78. #11719258	C₂²	semidirect
79. #11719255	C₂²	semidirect
80. #11719255	C₂²	semidirect
81. D₄×D₅₂	C₂²	semidirect
82. #11719246	C₂²	semidirect
83. #11719240	C₂²	semidirect
84. #11719239	C₂²	semidirect
85. #11718900	C₂²	semidirect
86. #11718900	C₂²	semidirect
87. #11718900	C₂²	semidirect
88. #11718900	C₂²	semidirect
90. #11718899	C₂²	semidirect
91. #11718899	C₂²	semidirect
92. #11718899	C₂²	semidirect
93. #11718899	C₂²	semidirect
94. #11718899	C₂²	semidirect
95. #11718899	C₂²	semidirect
96. #11718899	C₂²	semidirect
97. #11718899	C₂²	semidirect
98. #11718899	C₂²	semidirect
99. #11718899	C₂²	semidirect
100. #11718899	C₂²	semidirect
101. #11718895	C₂²	semidirect
102. #11718895	C₂²	semidirect
103. #11718894	C₂²	semidirect
104. #11718894	C₂²	semidirect
105. #11718894	C₂²	semidirect
106. #11718893	C₂²	semidirect
107. #11718893	C₂²	semidirect
108. #11718893	C₂²	semidirect
109. #11718889	C₂²	semidirect
110. #11718888	C₂²	semidirect
111. #11718888	C₂²	semidirect
112. #11718888	C₂²	semidirect
113. #11718879	C₂²	semidirect
114. #11718879	C₂²	semidirect
116. #11718878	C₂²	semidirect
117. #11718878	C₂²	semidirect
118. #11718878	C₂²	semidirect
119. #11718878	C₂²	semidirect
120. #11718878	C₂²	semidirect
121. #11718876	C₂²	semidirect
122. C₂×#88072	C₂²	semidirect
123. #11718868	C₂²	semidirect
124. C₂×C₂²⋊#1055	C₂²	semidirect
125. #11718751	C₂²	semidirect
126. #11718747	C₂²	semidirect
127. #11718746	C₂²	semidirect
128. #11718744	C₂²	semidirect
129. #11718744	C₂²	semidirect
130. #11718744	C₂²	semidirect
131. #11718743	C₂²	semidirect
132. #11718742	C₂²	semidirect
133. #11718720	C₂²	semidirect
134. #11718719	C₂²	semidirect
135. #11718718	C₂²	semidirect
136. #11718718	C₂²	semidirect
137. #11718718	C₂²	semidirect
138. #11718717	C₂²	semidirect
139. #11718716	C₂²	semidirect
140. #11718715	C₂²	semidirect
141. #11718713	C₂²	semidirect
142. #11718713	C₂²	semidirect
143. #11718712	C₂²	semidirect
144. #11718710	C₂²	semidirect
145. #11718710	C₂²	semidirect
146. #11718710	C₂²	semidirect
147. #11718710	C₂²	semidirect
148. #11718709	C₂²	semidirect
149. #11718709	C₂²	semidirect
150. #11718709	C₂²	semidirect
151. #11718709	C₂²	semidirect
152. #11718709	C₂²	semidirect
153. #11718708	C₂²	semidirect
154. #11718708	C₂²	semidirect
155. #11718708	C₂²	semidirect
156. #11718707	C₂²	semidirect
157. #11718707	C₂²	semidirect
158. #11718707	C₂²	semidirect
159. #11718706	C₂²	semidirect
160. #11718706	C₂²	semidirect
161. #11718706	C₂²	semidirect
162. #11718705	C₂²	semidirect
163. #11718705	C₂²	semidirect
164. #11718704	C₂²	semidirect
165. #11718703	C₂²	semidirect
166. #11718700	C₂²	semidirect
167. #11718699	C₂²	semidirect
168. #11718699	C₂²	semidirect
169. #11718698	C₂²	semidirect
170. #11718697	C₂²	semidirect
171. #11718696	C₂²	semidirect
172. #11718695	C₂²	semidirect
173. #11718679	C₂²	semidirect
174. C₄×#6105	C₂²	semidirect
175. #11718677	C₂²	semidirect
176. #11718677	C₂²	semidirect
177. #11718676	C₂²	semidirect
178. #11718676	C₂²	semidirect
179. #11718675	C₂²	semidirect
180. #11718675	C₂²	semidirect
181. #11718675	C₂²	semidirect
182. C₄×#6104	C₂²	semidirect
183. C₄×#6104	C₂²	semidirect
184. C₄×#6104	C₂²	semidirect
185. #11718673	C₂²	semidirect
186. #11718673	C₂²	semidirect
187. #11718672	C₂²	semidirect
188. #11718672	C₂²	semidirect
189. #11718672	C₂²	semidirect
190. #11718672	C₂²	semidirect
191. D₄×#1055	C₂²	semidirect
192. D₄×#1055	C₂²	semidirect
193. #11718670	C₂²	semidirect
194. #11718670	C₂²	semidirect
195. #11718669	C₂²	semidirect
196. #11718668	C₂²	semidirect
197. #11718664	C₂²	semidirect
198. #11718664	C₂²	semidirect
199. #11718664	C₂²	semidirect
200. #11718661	C₂²	semidirect
201. #11718661	C₂²	semidirect
202. #11718657	C₂²	semidirect
740. #3485	D₁₃	semidirect
916. C₂×H(5,𝔽₂)	C₂×D₁₃	semidirect
917. C₂²×#41	C₂×D₁₃	semidirect
937. #547	C₂×D₁₃	semidirect
938. #547	C₂×D₁₃	semidirect
939. #547	C₂×D₁₃	semidirect
946. #546	C₂×D₁₃	semidirect
947. #546	C₂×D₁₃	semidirect
948. #546	C₂×D₁₃	semidirect
955. #536	C₂×D₁₃	semidirect
956. #536	C₂×D₁₃	semidirect
964. #525	C₂×D₁₃	semidirect
968. #518	C₂×D₁₃	semidirect
1697. C₁₃	#61614	semidirect

Maximal subgroups

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

subgroup	index
#13129152	2
#13127141	2
#13127052	2
#13126992	2
#13126932	2
#13126812	2
#13126797	2
#13126764	2
#13126686	2
#13126562	2
#13126517	2
#13126443	2
#13126436	2
#13126372	2
#13126362	2
#13126317	2
#13125945	2
#13125897	2
#13125718	2
#13125703	2
#13125673	2
#13125597	2
#13125079	2
#13125020	2
#13124140	2
#13124104	2
#13124088	2
#13124054	2
#13123884	2
C₁₃×#3485	2
#61614	13