Finite Group Databasebeta

← D13×#3264 #16737860

Subgroups — D13×#3264 #16737860

Order 3328.

3366 conjugacy classes of subgroups.

The subgroup lattice has 2248 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D13×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
2C22×D8×D13C211yesmaximal, characteristic, complemented
3D13×#546C211yesmaximal, characteristic, complemented
4D42×D13C211yesmaximal, characteristic, complemented
5#13126323C211yesmaximal, characteristic, complemented
6#13126322C211yesmaximal, characteristic, complemented
7#13126321C211yesmaximal, characteristic, complemented
8#13126320C211yesmaximal, characteristic, complemented
9#13126319C211yesmaximal, characteristic, complemented
10#13126318C211yesmaximal, characteristic, complemented
11#13126317C211yesmaximal, characteristic, complemented
12#13126316C211yesmaximal, characteristic, complemented
13#13126315C211yesmaximal, characteristic, complemented
14#13126314C211yesmaximal, characteristic, complemented
15#13126313C211yesmaximal, characteristic, complemented
16#13126312C211yesmaximal, characteristic, complemented
17#13126311C211yesmaximal, characteristic, complemented
18#13126310C211yesmaximal, characteristic, complemented
19#13126309C211yesmaximal, characteristic, complemented
20D13×#496C211yesmaximal, characteristic, complemented
21D13×#469C211yesmaximal, characteristic, complemented
22D13×#465C211yesmaximal, characteristic, complemented
23D13×#463C211yesmaximal, characteristic, complemented
24D13×#459C211yesmaximal, characteristic, complemented
25D13×#449C211yesmaximal, characteristic, complemented
26D13×#450C211yesmaximal, characteristic, complemented
27D13×#447C211yesmaximal, characteristic, complemented
28D13×#447C211yesmaximal, characteristic, complemented
29D13×#442C211yesmaximal, characteristic, complemented
30D13×#435C211yesmaximal, characteristic, complemented
31C13×#3264C211yesmaximal, characteristic, complemented
32C2×#41×D13C2211yescharacteristic, complemented
33C22×D4×D13—21no—
34C22×D4×D13C2211yescharacteristic
35C22×D4×D13C2211yescharacteristic, complemented
36C22×D4×D13C2211yescharacteristic, complemented
37C2×C13×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C22×C13×D8C2211yescharacteristic, complemented
39C13×#546C2211yescharacteristic, complemented
40D42×C13C2211yescharacteristic, complemented
41#11719534C2211yescharacteristic, complemented
42C2×#88203C2211yescharacteristic, complemented
43#11719511C2211yescharacteristic, complemented
44D4×C22⋊D13—21no—
45D4×C22⋊D13C2211yescharacteristic, complemented
46D4×C22⋊D13C2211yescharacteristic, complemented
47C2×#88186C2211yescharacteristic, complemented
48C22×#6104C2211yescharacteristic, complemented
49C22×#6104C2211yescharacteristic, complemented
50D13×AGL(1,ℤ/8)—28no—
51C2×#88168C2211yescharacteristic, complemented
52C2×#88168C2211yescharacteristic, complemented
53C2×SD16×D13C2211yescharacteristic, complemented
54C2×SD16×D13C2211yescharacteristic, complemented
55C2×SD16×D13C2211yescharacteristic, complemented
56C2×#88165C2211yescharacteristic, complemented
57C2×#88165C2211yescharacteristic, complemented
58C2×D8×D13—28no—
59C2×D8×D13C2211yescharacteristic
60C2×D8×D13C2211yescharacteristic
61C2×D8×D13C2211yescharacteristic, complemented
62C2×D8×D13C2211yescharacteristic, complemented
63C2×D8×D13C2211yescharacteristic, complemented
64C2×D8×D13C2211yescharacteristic, complemented
65C2×D8×D13C2211yescharacteristic, complemented
66C2×D8×D13C2211yescharacteristic, complemented
67C2×D8×D13C2211yescharacteristic, complemented
68C2×D8×D13C2211yescharacteristic, complemented
69C2×#88162C2211yescharacteristic, complemented
70C2×M16×D13C2211yescharacteristic, complemented
71C22×D104C2211yescharacteristic, complemented
72C22×C8×D13C2211yescharacteristic, complemented
73#11719422C2211yescharacteristic, complemented
74D13×#127C2211yescharacteristic, complemented
75#11719381C2211yescharacteristic, complemented
76D13×#124C2211yescharacteristic, complemented
77#11719359—21no—
78D13×#123—21no—
79#11719335C2211yescharacteristic, complemented
80D13×C22⋊Q8C2211yescharacteristic, complemented
81#11719317C2211yescharacteristic, complemented
82#11719315—21no—
83#11719314—21no—
84#11719314C2211yescharacteristic, complemented
85#11719314C2211yescharacteristic, complemented
86D13×#121—21no—
87D13×#121—21no—
88D13×#121C2211yescharacteristic
89D13×#121C2211yescharacteristic, complemented
90D13×#121C2211yescharacteristic, complemented
91#11719296—21no—
92#11719295—21no—
93#11719295—21no—
94D13×#120—21no—
95D13×#120—21no—
96D13×#120—21no—
97#11719259C2211yescharacteristic, complemented
98#11719255C2211yescharacteristic, complemented
99D4×D52C2211yescharacteristic, complemented
100D4×D52C2211yescharacteristic, complemented
101C4×D4×D13C2211yescharacteristic
102C4×D4×D13C2211yescharacteristic, complemented
103C4×D4×D13C2211yescharacteristic, complemented
104#11719195—21no—
105C2×C22⋊C4×D13—21no—
106C13×#496C2211yescharacteristic, complemented
107C13×#469C2211yescharacteristic, complemented
108C13×#465C2211yescharacteristic, complemented
109C13×#463C2211yescharacteristic, complemented
110C13×#459C2211yescharacteristic, complemented
111C13×#450C2211yescharacteristic, complemented
112C13×#449C2211yescharacteristic, complemented
113C13×#447C2211yescharacteristic, complemented
114C13×#447C2211yescharacteristic, complemented
115C13×#442C2211yescharacteristic, complemented
116C13×#435C2211yescharacteristic, complemented
117#11718899C2211yescharacteristic, complemented
118#11718879C2211yescharacteristic, complemented
119#11718878C2211yescharacteristic, complemented
120#11718878C2211yescharacteristic, complemented
121#11718837C2211yescharacteristic, complemented
122#11718837C2211yescharacteristic, complemented
123#11718833C2211yescharacteristic, complemented
124#11718832C2211yescharacteristic, complemented
125#11718830C2211yescharacteristic, complemented
126#11718830C2211yescharacteristic, complemented
127#11718826C2211yescharacteristic, complemented
128#11718820C2211yescharacteristic, complemented
129#11718819C2211yescharacteristic, complemented
130#11718817C2211yescharacteristic, complemented
131#11718817C2211yescharacteristic, complemented
132#11718817C2211yescharacteristic, complemented
133#11718817C2211yescharacteristic, complemented
134#11718815C2211yescharacteristic, complemented
135#11718815C2211yescharacteristic, complemented
136#11718814C2211yescharacteristic, complemented
137#11718813C2211yescharacteristic, complemented
138#11718811C2211yescharacteristic, complemented
139#11718811C2211yescharacteristic, complemented
140#11718796C2211yescharacteristic, complemented
141#11718788C2211yescharacteristic, complemented
142#11718775C2211yescharacteristic, complemented
143#11718772C2211yescharacteristic, complemented
144#11718735C2211yescharacteristic, complemented
145#11718733C2211yescharacteristic, complemented
146#11718719C2211yescharacteristic, complemented
147#11718718C2211yescharacteristic, complemented
148#11718709C2211yescharacteristic, complemented
149#11718707C2211yescharacteristic, complemented
150#11718702C2211yescharacteristic, complemented
151#11718700C2211yescharacteristic, complemented
152#11718700C2211yescharacteristic, complemented
153#11718698C2211yescharacteristic, complemented
154#11718697C2211yescharacteristic, complemented
155#11718697C2211yescharacteristic, complemented
156#11718677C2211yescharacteristic, complemented
157#11718676C2211yescharacteristic, complemented
158#11718675C2211yescharacteristic, complemented
159#11718675C2211yescharacteristic, complemented
160#11718672C2211yescharacteristic, complemented
161#11718530C2211yescharacteristic, complemented
162#11718526C2211yescharacteristic, complemented
163#11718525C2211yescharacteristic, complemented
164D13×#106C2211yescharacteristic, complemented
165#11718505C2211yescharacteristic, complemented
166#11718504C2211yescharacteristic, complemented
167#11718497C2211yescharacteristic, complemented
168D13×C4⋊C8C2211yescharacteristic, complemented
169#11718480C2211yescharacteristic, complemented
170#11718472C2211yescharacteristic, complemented
171#11718468C2211yescharacteristic, complemented
172D13×#103C2211yescharacteristic, complemented
173#11718448C2211yescharacteristic, complemented
174#11718447C2211yescharacteristic, complemented
175#11718447C2211yescharacteristic, complemented
176#11718446C2211yescharacteristic, complemented
177#11718446C2211yescharacteristic, complemented
178#11718443C2211yescharacteristic, complemented
179#11718443C2211yescharacteristic, complemented
180#11718442C2211yescharacteristic, complemented
181#11718439C2211yescharacteristic, complemented
182#11718437C2211yescharacteristic, complemented
183#11718437C2211yescharacteristic, complemented
184#11718434C2211yescharacteristic, complemented
185#11718434C2211yescharacteristic, complemented
186#11718434C2211yescharacteristic, complemented
187#11718434C2211yescharacteristic, complemented
188D13×#102C2211yescharacteristic, complemented
189D13×#102C2211yescharacteristic, complemented
190D13×#102C2211yescharacteristic, complemented
191D13×#102C2211yescharacteristic, complemented
192D13×#102C2211yescharacteristic, complemented
193#11718395C2211yescharacteristic, complemented
194#11718393C2211yescharacteristic, complemented
195#11718393C2211yescharacteristic, complemented
196#11718392C2211yescharacteristic, complemented
197#11718391C2211yescharacteristic, complemented
198#11718389C2211yescharacteristic, complemented
199D13×C22⋊C8C2211yescharacteristic, complemented
200D13×C22⋊C8C2211yescharacteristic, complemented
201#11718373C2211yescharacteristic, complemented
202#11718372C2211yescharacteristic, complemented
203#11718367C2211yescharacteristic, complemented
204D13×#97C2211yescharacteristic, complemented
205C24×D13—21no—
206C24×D13—21no—
207C24×D13—21no—
208C2×C13×#41C2311yescharacteristic, complemented
209C22×D4×C13—21no—
210C22×D4×C13C2311yescharacteristic
211C22×D4×C13C2311yescharacteristic, complemented
212C22×D4×C13C2311yescharacteristic, complemented
213C22×C22⋊D13—21no—
214C22×C22⋊D13—21no—
215C22×C22⋊D13—21no—
216C22×C22⋊D13—21no—
217C22×C22⋊D13—21no—
218#41×D13—24no—
219#41×D13—42no—
220C2×#6131C2311yescharacteristic, complemented
221C2×Q8×D13C2311yescharacteristic
222C2×#6129—21no—
223C2×#6129C2311yescharacteristic, complemented
224C2×D4×D13—24no—
225C2×D4×D13—24no—
226C2×D4×D13—24no—
227C2×D4×D13—21no—
228C2×D4×D13—21no—
229C2×D4×D13—21no—
230C2×D4×D13—21no—
231C2×D4×D13—21no—
232C2×D4×D13—21no—
233C2×D4×D13—21no—
234C2×D4×D13—21no—
235C2×D4×D13—21no—
236C2×D4×D13—21no—
237C2×D4×D13—21no—
238C2×D4×D13—21no—
239C2×D4×D13—21no—
240C2×D4×D13—21no—
241C2×D4×D13—21no—
242C2×D4×D13—21no—
243C2×D4×D13—42no—
244C2×D4×D13—42no—
245C2×D4×D13—42no—
246C2×D4×D13—48no—
247C2×D4×D13D411yescharacteristic
248C2×D4×D13C2311yescharacteristic
249C2×D4×D13C2311yescharacteristic
250C2×D4×D13C2311yescharacteristic
251C2×D4×D13C2311yescharacteristic
252C2×D4×D13C2311yescharacteristic
253C2×D4×D13C2311yescharacteristic
254C2×D4×D13C2311yescharacteristic
255C2×D4×D13C2311yescharacteristic, complemented
256C2×D4×D13C2311yescharacteristic, complemented
257C2×D4×D13C2311yescharacteristic, complemented
258C2×D4×D13C2311yescharacteristic, complemented
259C2×#6127—21no—
260C2×#6127C2311yescharacteristic, complemented
261C22×D52—21no—
262C22×D52C2311yescharacteristic
263C22×D52C2311yescharacteristic, complemented
264C22×D52C2311yescharacteristic, complemented
265C22×C4×D13—21no—
266C22×C4×D13—21no—
267C22×C4×D13—21no—
268C22×C4×D13C2311yescharacteristic
269C22×C4×D13C2311yescharacteristic
270C13×AGL(1,ℤ/8)—24no—
271C2×C13×SD16C2311yescharacteristic, complemented
272C2×C13×SD16C2311yescharacteristic, complemented
273C2×C13×SD16C2311yescharacteristic, complemented
274C2×C13×D8—24no—
275C2×C13×D8C2311yescharacteristic
276C2×C13×D8C2311yescharacteristic
277C2×C13×D8C2311yescharacteristic, complemented
278C2×C13×D8C2311yescharacteristic, complemented
279C2×C13×D8C2311yescharacteristic, complemented
280C2×C13×D8C2311yescharacteristic, complemented
281C2×C13×M16C2311yescharacteristic, complemented
282C22×C8×C13C2311yescharacteristic, complemented
283C13×#127C2311yescharacteristic, complemented
284C13×#124C2311yescharacteristic, complemented
285C13×#123—21no—
286C13×C22⋊Q8C2311yescharacteristic, complemented
287C13×#121—21no—
288C13×#121—21no—
289C13×#121C2311yescharacteristic
290C13×#121C2311yescharacteristic, complemented
291C13×#121C2311yescharacteristic, complemented
292C13×#120—21no—
293C13×#120—21no—
294C13×#120—21no—
295C4×D4×C13C2311yescharacteristic
296C4×D4×C13C2311yescharacteristic, complemented
297C4×D4×C13C2311yescharacteristic, complemented
298C2×C13×C22⋊C4—21no—
299#88207—21no—
300#88207—21no—
301#88207—21no—
302C2×C22⋊Dic13—21no—
303#88203—24no—
304#88201C2311yescharacteristic, complemented
305#88200C2311yescharacteristic, complemented
306C2×#6106C2311yescharacteristic, complemented
307C2×#6106C2311yescharacteristic, complemented
308C2×#6106C2311yescharacteristic, complemented
309#88194—21no—
310#88194—21no—
311#88194C2311yescharacteristic, complemented
312#88194C2311yescharacteristic, complemented
313#88193—21no—
314#88193—21no—
315#88193—21no—
316#88193—21no—
317#88193—21no—
318#88193—21no—
319#88193—21no—
320#88192—21no—
321#88192—21no—
322#88192C2311yescharacteristic
323#88192C2311yescharacteristic, complemented
324#88192C2311yescharacteristic, complemented
325#88191—21no—
326#88191—21no—
327#88191—21no—
328#88191—21no—
329#88191—21no—
330#88191—21no—
331#88191—21no—
332#88191—21no—
333#88191—21no—
334#88190C2311yescharacteristic, complemented
335#88189—21no—
336D4×Dic13D411yescharacteristic
337D4×Dic13C2311yescharacteristic, complemented
338D4×Dic13C2311yescharacteristic, complemented
339C2×#6105C2311yescharacteristic, complemented
340C2×#6105C2311yescharacteristic, complemented
341C2×#6105C2311yescharacteristic, complemented
342#88186—24no—
343C2×#6104—24no—
344C2×#6104—24no—
345C2×#6104C2311yescharacteristic
346C2×#6104C2311yescharacteristic
347C2×#6104C2311yescharacteristic
348C2×#6104C2311yescharacteristic
349C2×#6104C2311yescharacteristic, complemented
350C2×#6104C2311yescharacteristic, complemented
351C2×#6104C2311yescharacteristic, complemented
352C2×#6104C2311yescharacteristic, complemented
353C2×#6104C2311yescharacteristic, complemented
354C2×#6104C2311yescharacteristic, complemented
355C2×#6104C2311yescharacteristic, complemented
356C2×#6104C2311yescharacteristic, complemented
357#88184—21no—
358#88184—21no—
359#88184C2311yescharacteristic
360#88184C2311yescharacteristic, complemented
361#88184C2311yescharacteristic, complemented
362#88183—21no—
363C4×C22⋊D13—21no—
364C4×C22⋊D13—21no—
365C4×C22⋊D13C2311yescharacteristic
366C4×C22⋊D13C2311yescharacteristic
367C2×#6103—21no—
368C2×#6103—21no—
369#88178C2311yescharacteristic, complemented
370C2×#6099C2311yescharacteristic, complemented
371C22×#1055C2311yescharacteristic, complemented
372#88168—24no—
373#88168—24no—
374SD16×D13—24no—
375SD16×D13—24no—
376SD16×D13—42no—
377#88165—24no—
378#88165—24no—
379D8×D13—24no—
380D8×D13—24no—
381D8×D13—24no—
382D8×D13—24no—
383D8×D13—24no—
384D8×D13—24no—
385D8×D13—24no—
386D8×D13—24no—
387D8×D13—42no—
388D8×D13D418yescomplemented
389#88162—24no—
390M16×D13—24no—
391C2×D104—24no—
392C2×D104C2311yescharacteristic
393C2×D104C2311yescharacteristic
394C2×D104C2311yescharacteristic, complemented
395C2×D104C2311yescharacteristic, complemented
396C2×D104C2311yescharacteristic, complemented
397C2×D104C2311yescharacteristic, complemented
398C2×#6095C2311yescharacteristic, complemented
399C2×#6095C2311yescharacteristic, complemented
400C2×#6095C2311yescharacteristic, complemented
401C2×#6094C2311yescharacteristic, complemented
402C2×#6094C2311yescharacteristic, complemented
403C2×C8×D13—24no—
404C2×C8×D13C2311yescharacteristic
405C2×C8×D13C2311yescharacteristic
406C2×C8×D13C2311yescharacteristic
407C2×C8×D13C2311yescharacteristic
408C2×C8×D13C2311yescharacteristic, complemented
409C2×C8×D13C2311yescharacteristic, complemented
410#88151C2311yescharacteristic, complemented
411#88150—21no—
412#88149—21no—
413#88149—21no—
414#88149C2311yescharacteristic
415#88149C2311yescharacteristic, complemented
416#88149C2311yescharacteristic, complemented
417#88148—21no—
418#88148—21no—
419#88147D411yescharacteristic
420#88147C2311yescharacteristic, complemented
421#88147C2311yescharacteristic, complemented
422C4⋊C4×D13—21no—
423C4⋊C4×D13D411yescharacteristic
424C4⋊C4×D13C2311yescharacteristic
425C4⋊C4×D13C2311yescharacteristic
426#88140—21no—
427#88139—21no—
428#88139—21no—
429#88138—21no—
430#88138—21no—
431#88138—21no—
432#88138—21no—
433#88138—21no—
434#88138—21no—
435#88138—21no—
436#88137—21no—
437#88137—21no—
438#88136—21no—
439#88136—21no—
440#88136—21no—
441#88136—21no—
442#88136—21no—
443#88136—21no—
444#88136—21no—
445#88136—21no—
446#88136—21no—
447#88135—21no—
448#88135—21no—
449#88135D411yescharacteristic
450#88135D411yescharacteristic
451C22⋊C4×D13—21no—
452C22⋊C4×D13—21no—
453C22⋊C4×D13—21no—
454C22⋊C4×D13—21no—
455C22⋊C4×D13—21no—
456C22⋊C4×D13—21no—
457C22⋊C4×D13—21no—
458C22⋊C4×D13—21no—
459C22⋊C4×D13—21no—
460C22⋊C4×D13—21no—
461C22⋊C4×D13—21no—
462C22⋊C4×D13—21no—
463C22⋊C4×D13D411yescharacteristic
464C22⋊C4×D13D411yescharacteristic
465#88132—21no—
466#88129C2311yescharacteristic, complemented
467#88128C2311yescharacteristic, complemented
468C4×D52C2311yescharacteristic
469C4×D52C2311yescharacteristic, complemented
470C4×D52C2311yescharacteristic, complemented
471C42×D13C2311yescharacteristic
472C13×#106C2311yescharacteristic, complemented
473C13×C4⋊C8C2311yescharacteristic, complemented
474C13×#103C2311yescharacteristic, complemented
475C13×#102C2311yescharacteristic, complemented
476C13×#102C2311yescharacteristic, complemented
477C13×#102C2311yescharacteristic, complemented
478C13×#102C2311yescharacteristic, complemented
479C13×#102C2311yescharacteristic, complemented
480C13×C22⋊C8C2311yescharacteristic, complemented
481C13×C22⋊C8C2311yescharacteristic, complemented
482C13×#97C2311yescharacteristic, complemented
483#88075C2311yescharacteristic, complemented
484#88072C2311yescharacteristic, complemented
485#88072C2311yescharacteristic, complemented
486#88072C2311yescharacteristic, complemented
487#88072C2311yescharacteristic, complemented
488#88072C2311yescharacteristic, complemented
489C22⋊#1055C2311yescharacteristic, complemented
490C22⋊#1055C2311yescharacteristic, complemented
491#88061C2311yescharacteristic, complemented
492#88061C2311yescharacteristic, complemented
493#88061C2311yescharacteristic, complemented
494#88061C2311yescharacteristic, complemented
495#88061C2311yescharacteristic, complemented
496#88060C2311yescharacteristic, complemented
497#88060C2311yescharacteristic, complemented
498#88060C2311yescharacteristic, complemented
499#88060C2311yescharacteristic, complemented
500#88057C2311yescharacteristic, complemented
501#88056C2311yescharacteristic, complemented
502#88055C2311yescharacteristic, complemented
503#88055C2311yescharacteristic, complemented
504#88054C2311yescharacteristic, complemented
505#88054C2311yescharacteristic, complemented
506#88050C2311yescharacteristic, complemented
507#88049C2311yescharacteristic, complemented
508#88049C2311yescharacteristic, complemented
509#88049C2311yescharacteristic, complemented
510#88049C2311yescharacteristic, complemented
511#88049C2311yescharacteristic, complemented
512#88048C2311yescharacteristic, complemented
513#88048C2311yescharacteristic, complemented
514C4⋊#1055C2311yescharacteristic, complemented
515#88043C2311yescharacteristic, complemented
516C2×#3264—131nomaximal, Sylow
517C24×C13—21no—
518C24×C13—21no—
519C24×C13—21no—
520C23×D13—21no—
521C23×D13—21no—
522C23×D13—21no—
523C23×D13—21no—
524C23×D13—21no—
525C23×D13—21no—
526C23×D13—21no—
527C23×D13—21no—
528C23×D13—21no—
529C23×D13—21no—
530C23×D13—21no—
531C23×D13—21no—
532C23×D13—21no—
533C23×D13—21no—
534C23×D13—44no—
535C23×D13—44no—
536C23×D13—44no—
537C23×D13—44no—
538C23×D13—44no—
539C23×D13—44no—
540C23×D13—82no—
541C23×D13—82no—
542C23×D13—82no—
543C23×D13C2×D411yescharacteristic
544C23×D13C2×D411yescharacteristic
545C13×#41—22no—
546C13×#41—41no—
547C2×Q8×C13C2411yescharacteristic
548C2×D4×C13—22no—
549C2×D4×C13—22no—
550C2×D4×C13—22no—
551C2×D4×C13—21no—
552C2×D4×C13—21no—
553C2×D4×C13—21no—
554C2×D4×C13—21no—
555C2×D4×C13—21no—
556C2×D4×C13—21no—
557C2×D4×C13—21no—
558C2×D4×C13—21no—
559C2×D4×C13—21no—
560C2×D4×C13—41no—
561C2×D4×C13—41no—
562C2×D4×C13—41no—
563C2×D4×C13—44no—
564C2×D4×C13C2×D411yescharacteristic
565C2×D4×C13C2411yescharacteristic
566C2×D4×C13C2411yescharacteristic
567C2×D4×C13C2411yescharacteristic
568C2×D4×C13C2411yescharacteristic
569C2×D4×C13C2411yescharacteristic
570C22×C4×C13—21no—
571C22×C4×C13—21no—
572C22×C4×C13—21no—
573C22×C4×C13C2411yescharacteristic
574C22×C4×C13C2411yescharacteristic
575C2×C22⋊D13—21no—
576C2×C22⋊D13—21no—
577C2×C22⋊D13—21no—
578C2×C22⋊D13—21no—
579C2×C22⋊D13—21no—
580C2×C22⋊D13—21no—
581C2×C22⋊D13—21no—
582C2×C22⋊D13—21no—
583C2×C22⋊D13—21no—
584C2×C22⋊D13—21no—
585C2×C22⋊D13—21no—
586C2×C22⋊D13—21no—
587C2×C22⋊D13—21no—
588C2×C22⋊D13—21no—
589C2×C22⋊D13—21no—
590C2×C22⋊D13—21no—
591C2×C22⋊D13—21no—
592C2×C22⋊D13—21no—
593C2×C22⋊D13—21no—
594C2×C22⋊D13—21no—
595C2×C22⋊D13—21no—
596C2×C22⋊D13—21no—
597C2×C22⋊D13—21no—
598C2×C22⋊D13—44no—
599C2×C22⋊D13—44no—
600C2×C22⋊D13—44no—
601C2×C22⋊D13—44no—
602C2×C22⋊D13—44no—
603C2×C22⋊D13C2×D411yescharacteristic
604C2×C22⋊D13C2×D411yescharacteristic
605C22×Dic13—21no—
606C22×Dic13—21no—
607C22×Dic13—21no—
608C22×Dic13C2×D411yescharacteristic
609C22×Dic13C2×D411yescharacteristic
610#6131—22no—
611#6131—41no—
612Q8×D13—22no—
613Q8×D13—22no—
614#6129—22no—
615#6129—41no—
616#6129—44no—
617D4×D13—24no—
618D4×D13—22no—
619D4×D13—22no—
620D4×D13—22no—
621D4×D13—22no—
622D4×D13—22no—
623D4×D13—22no—
624D4×D13—22no—
625D4×D13—22no—
626D4×D13—22no—
627D4×D13—22no—
628D4×D13—22no—
629D4×D13—22no—
630D4×D13—22no—
631D4×D13—22no—
632D4×D13—41no—
633D4×D13—41no—
634D4×D13—41no—
635D4×D13—41no—
636D4×D13—41no—
637D4×D13—41no—
638D4×D13—44no—
639D4×D13—44no—
640D4×D13—44no—
641D4×D13—44no—
642D4×D13—44no—
643D4×D13—44no—
644D4×D13—44no—
645D4×D13—44no—
646D4×D13—44no—
647D4×D13—44no—
648D4×D13—44no—
649D4×D13—44no—
650D4×D13—44no—
651D4×D13—44no—
652D4×D13—82no—
653D4×D13—82no—
654D4×D13C2×D414yes—
655D4×D13C2×D414yescomplemented
656#6127—22no—
657#6127—41no—
658#6127—44no—
659C2×D52—22no—
660C2×D52—22no—
661C2×D52—22no—
662C2×D52—21no—
663C2×D52—21no—
664C2×D52—21no—
665C2×D52—21no—
666C2×D52—21no—
667C2×D52—21no—
668C2×D52—21no—
669C2×D52—21no—
670C2×D52—21no—
671C2×D52—41no—
672C2×D52—41no—
673C2×D52—41no—
674C2×D52—44no—
675C2×D52C2×D411yescharacteristic
676C2×D52C2411yescharacteristic
677C2×D52C2411yescharacteristic
678C2×D52C2411yescharacteristic
679C2×D52C2411yescharacteristic
680C2×D52C2411yescharacteristic
681C2×C4×D13—22no—
682C2×C4×D13—22no—
683C2×C4×D13—22no—
684C2×C4×D13—22no—
685C2×C4×D13—21no—
686C2×C4×D13—21no—
687C2×C4×D13—21no—
688C2×C4×D13—21no—
689C2×C4×D13—21no—
690C2×C4×D13—21no—
691C2×C4×D13—21no—
692C2×C4×D13—21no—
693C2×C4×D13—21no—
694C2×C4×D13—44no—
695C2×C4×D13—44no—
696C2×C4×D13—82no—
697C2×C4×D13C2×D411yescharacteristic
698C2×C4×D13C2×D411yescharacteristic
699C2×C4×D13C2×D411yescharacteristic
700C2×C4×D13C2×D411yescharacteristic
701C2×C4×D13C2×D411yescharacteristic
702C2×C4×D13C2×D411yescharacteristic
703C2×C4×D13C2411yescharacteristic
704C2×C4×D13C2411yescharacteristic
705C2×C4×D13C2411yescharacteristic
706C2×Dic26—21no—
707C2×Dic26C2411yescharacteristic
708C13×SD16—22no—
709C13×SD16—22no—
710C13×SD16—41no—
711C13×D8—22no—
712C13×D8—22no—
713C13×D8—22no—
714C13×D8—22no—
715C13×D8—41no—
716C13×D8C2×D414yescomplemented
717C13×M16—22no—
718C2×C8×C13—22no—
719C2×C8×C13C2411yescharacteristic
720C2×C8×C13C2411yescharacteristic
721C2×C8×C13C2411yescharacteristic
722C2×C8×C13C2411yescharacteristic
723C13×C4⋊C4—21no—
724C13×C4⋊C4C2×D411yescharacteristic
725C13×C4⋊C4C2411yescharacteristic
726C13×C4⋊C4C2411yescharacteristic
727C13×C22⋊C4—21no—
728C13×C22⋊C4—21no—
729C13×C22⋊C4—21no—
730C13×C22⋊C4—21no—
731C13×C22⋊C4—21no—
732C13×C22⋊C4—21no—
733C13×C22⋊C4—21no—
734C13×C22⋊C4—21no—
735C13×C22⋊C4C2×D411yescharacteristic
736C13×C22⋊C4C2×D411yescharacteristic
737C42×C13C2411yescharacteristic
738C22⋊Dic13—21no—
739C22⋊Dic13—21no—
740C22⋊Dic13—21no—
741C22⋊Dic13—21no—
742C22⋊Dic13—21no—
743C22⋊Dic13—21no—
744C22⋊Dic13—21no—
745C22⋊Dic13—21no—
746C22⋊Dic13C2×D411yescharacteristic
747C22⋊Dic13C2×D411yescharacteristic
748#6106—22no—
749#6106—22no—
750#6106—41no—
751#6105—22no—
752#6105—22no—
753#6105—41no—
754#6104—22no—
755#6104—22no—
756#6104—22no—
757#6104—22no—
758#6104—22no—
759#6104—22no—
760#6104—22no—
761#6104—22no—
762#6104—41no—
763#6104—41no—
764#6104C2×D414yescomplemented
765#6104C2×D414yescomplemented
766#6103—21no—
767#6103—21no—
768#6103—21no—
769#6103—21no—
770#6103—21no—
771#6103—21no—
772#6103—21no—
773#6103—21no—
774#6103—21no—
775#6103—21no—
776#6103—21no—
777#6103—21no—
778#6103—21no—
779#6103—21no—
780#6103—21no—
781#6103—21no—
782#6103C2×D411yescharacteristic
783#6103C2×D411yescharacteristic
784#6103C2×D411yescharacteristic
785#6103C2×D411yescharacteristic
786C4⋊Dic13—21no—
787C4⋊Dic13C2×D411yescharacteristic
788C4⋊Dic13C2411yescharacteristic
789C4⋊Dic13C2411yescharacteristic
790#6101—21no—
791#6101—21no—
792#6101—21no—
793#6101—21no—
794#6101C2×D411yescharacteristic
795#6101C2×D411yescharacteristic
796C4×Dic13C2×D411yescharacteristic
797C4×Dic13C2×D411yescharacteristic
798C4×Dic13C2411yescharacteristic
799#6099—22no—
800C2×#1055—22no—
801C2×#1055C2411yescharacteristic
802C2×#1055C2411yescharacteristic
803C2×#1055C2411yescharacteristic
804C2×#1055C2411yescharacteristic
805D104—22no—
806D104—22no—
807D104—22no—
808D104—22no—
809D104—41no—
810D104C2×D414yescomplemented
811#6095—22no—
812#6095—22no—
813#6095—41no—
814#6094—22no—
815#6094—22no—
816C8×D13—22no—
817C8×D13—22no—
818C8×D13—22no—
819C8×D13—22no—
820C8×D13—22no—
821C8×D13C2×D414yescomplemented
822C22×AGL(1,ℤ/8)—131no—
823C23×D8—131no—
824C2×#546—131no—
825C2×D42—131no—
826#3264—131no—
827#3264—131no—
828#3264—131no—
829#3264—131no—
830#3264—131no—
831#3264—131no—
832#3264—131no—
833#3264—131no—
834#3264—131no—
835#3264—131no—
836#3264—131no—
837#3264—131no—
838#3264—131no—
839#3264—131no—
840#3264—131no—
841#3264D1311yescharacteristic, direct product factor
842C2×#496—131no—
843C2×#469—131no—
844C2×#465—131no—
845C2×#463—131no—
846C2×#459—131no—
847C2×#449—131no—
848C2×#450—131no—
849C2×#447—131no—
850C2×#447—131no—
851C2×#442—131no—
852C2×#435—131no—
853C23×C13—21no—
854C23×C13—21no—
855C23×C13—21no—
856C23×C13—21no—
857C23×C13—21no—
858C23×C13—42no—
859C23×C13—42no—
860C23×C13—42no—
861C23×C13—42no—
862C23×C13—42no—
863C23×C13—42no—
864C23×C13—81no—
865C23×C13—81no—
866C23×C13—81no—
867C23×C13C22×D411yescharacteristic
868C23×C13C22×D411yescharacteristic
869C22×D13—22no—
870C22×D13—22no—
871C22×D13—21no—
872C22×D13—21no—
873C22×D13—22no—
874C22×D13—24no—
875C22×D13—24no—
876C22×D13—22no—
877C22×D13—22no—
878C22×D13—21no—
879C22×D13—21no—
880C22×D13—21no—
881C22×D13—42no—
882C22×D13—42no—
883C22×D13—42no—
884C22×D13—42no—
885C22×D13—42no—
886C22×D13—42no—
887C22×D13—42no—
888C22×D13—42no—
889C22×D13—42no—
890C22×D13—42no—
891C22×D13—42no—
892C22×D13—42no—
893C22×D13—42no—
894C22×D13—42no—
895C22×D13—42no—
896C22×D13—42no—
897C22×D13—42no—
898C22×D13—42no—
899C22×D13—42no—
900C22×D13—42no—
901C22×D13—42no—
902C22×D13—42no—
903C22×D13—42no—
904C22×D13—42no—
905C22×D13—42no—
906C22×D13—42no—
907C22×D13—42no—
908C22×D13—42no—
909C22×D13—42no—
910C22×D13—42no—
911C22×D13—42no—
912C22×D13—81no—
913C22×D13—81no—
914C22×D13—81no—
915C22×D13—81no—
916C22×D13—81no—
917C22×D13—81no—
918C22×D13—816no—
919C22×D13—816no—
920C22×D13—81no—
921C22×D13—81no—
922C22×D13—81no—
923C22×D13—816no—
924C22×D13AGL(1,ℤ/8)14yescomplemented
925C22×D13C22×D411yescharacteristic
926C22×D13C22×D411yescharacteristic
927C22×D13C22×D411yescharacteristic
928Q8×C13—21no—
929Q8×C13—21no—
930D4×C13—22no—
931D4×C13—21no—
932D4×C13—21no—
933D4×C13—21no—
934D4×C13—21no—
935D4×C13—21no—
936D4×C13—21no—
937D4×C13—21no—
938D4×C13—21no—
939D4×C13—42no—
940D4×C13—42no—
941D4×C13—42no—
942D4×C13—42no—
943D4×C13—42no—
944D4×C13—42no—
945D4×C13—42no—
946D4×C13—81no—
947D4×C13—81no—
948D4×C13C22×D412yes—
949D4×C13C22×D412yescomplemented
950C2×C4×C13—21no—
951C2×C4×C13—21no—
952C2×C4×C13—21no—
953C2×C4×C13—21no—
954C2×C4×C13—21no—
955C2×C4×C13—21no—
956C2×C4×C13—21no—
957C2×C4×C13—42no—
958C2×C4×C13—42no—
959C2×C4×C13—81no—
960C2×C4×C13C22×D411yescharacteristic
961C2×C4×C13C22×D411yescharacteristic
962C2×C4×C13C22×D411yescharacteristic
963C2×C4×C13C22×D411yescharacteristic
964C2×C4×C13C2511yescharacteristic
965C22⋊D13—22no—
966C22⋊D13—22no—
967C22⋊D13—24no—
968C22⋊D13—24no—
969C22⋊D13—42no—
970C22⋊D13—42no—
971C22⋊D13—42no—
972C22⋊D13—42no—
973C22⋊D13—42no—
974C22⋊D13—42no—
975C22⋊D13—42no—
976C22⋊D13—42no—
977C22⋊D13—42no—
978C22⋊D13—42no—
979C22⋊D13—42no—
980C22⋊D13—42no—
981C22⋊D13—42no—
982C22⋊D13—42no—
983C22⋊D13—42no—
984C22⋊D13—42no—
985C22⋊D13—42no—
986C22⋊D13—81no—
987C22⋊D13—81no—
988C22⋊D13—81no—
989C22⋊D13—81no—
990C2×Dic13—22no—
991C2×Dic13—22no—
992C2×Dic13—21no—
993C2×Dic13—21no—
994C2×Dic13—21no—
995C2×Dic13—42no—
996C2×Dic13—42no—
997C2×Dic13—81no—
998C2×Dic13C22×D411yescharacteristic
999C2×Dic13C22×D411yescharacteristic
1000C2×Dic13C22×D411yescharacteristic
1001C2×Dic13C22×D411yescharacteristic
1002C2×Dic13C22×D411yescharacteristic
1003D52—22no—
1004D52—21no—
1005D52—21no—
1006D52—21no—
1007D52—21no—
1008D52—21no—
1009D52—21no—
1010D52—21no—
1011D52—21no—
1012D52—42no—
1013D52—42no—
1014D52—42no—
1015D52—42no—
1016D52—42no—
1017D52—42no—
1018D52—42no—
1019D52—81no—
1020D52—81no—
1021D52C22×D412yes—
1022D52C22×D412yescomplemented
1023C4×D13—22no—
1024C4×D13—22no—
1025C4×D13—22no—
1026C4×D13—22no—
1027C4×D13—21no—
1028C4×D13—21no—
1029C4×D13—21no—
1030C4×D13—21no—
1031C4×D13—22no—
1032C4×D13—22no—
1033C4×D13—42no—
1034C4×D13—42no—
1035C4×D13—42no—
1036C4×D13—42no—
1037C4×D13—42no—
1038C4×D13—42no—
1039C4×D13—42no—
1040C4×D13—81no—
1041C4×D13—81no—
1042C4×D13C22×D412yes—
1043C4×D13H(5,𝔽2)12yes—
1044Dic26—21no—
1045Dic26—21no—
1046Dic26—42no—
1047C8×C13—21no—
1048C8×C13—21no—
1049C8×C13—21no—
1050C8×C13C22×D412yescomplemented
1051#1055—21no—
1052#1055—21no—
1053#1055—21no—
1054#1055C22×D412yescomplemented
1055C22×#41—131no—
1056C23×D4—131no—
1057C23×D4—131no—
1058C23×D4—131no—
1059C23×D4—261no—
1060C2×AGL(1,ℤ/8)—131no—
1061C2×AGL(1,ℤ/8)—131no—
1062C2×AGL(1,ℤ/8)—131no—
1063C2×AGL(1,ℤ/8)—131no—
1064C2×AGL(1,ℤ/8)—131no—
1065C2×AGL(1,ℤ/8)—131no—
1066C2×AGL(1,ℤ/8)—131no—
1067C2×AGL(1,ℤ/8)—268no—
1068C2×AGL(1,ℤ/8)C2×D1311yescharacteristic, complemented
1069C22×SD16—131no—
1070C22×SD16—131no—
1071C22×SD16—131no—
1072C22×D8—131no—
1073C22×D8—131no—
1074C22×D8—131no—
1075C22×D8—131no—
1076C22×D8—131no—
1077C22×D8—131no—
1078C22×D8—131no—
1079C22×D8—131no—
1080C22×D8—131no—
1081C22×D8—131no—
1082C22×D8—131no—
1083C22×D8—131no—
1084C22×D8—131no—
1085C22×D8—268no—
1086C22×D8C2×D1311yescharacteristic, complemented
1087C22×M16—131no—
1088C23×C8—131no—
1089#546—131no—
1090#546—131no—
1091#546—131no—
1092#546—131no—
1093#546—131no—
1094#546—131no—
1095#546—131no—
1096#546—261no—
1097#546—261no—
1098#546—261no—
1099#546—261no—
1100#546C2×D1311yescharacteristic, complemented
1101D42—131no—
1102D42—131no—
1103D42—131no—
1104D42—131no—
1105D42—131no—
1106D42—131no—
1107D42—131no—
1108D42—261no—
1109D42—261no—
1110D42—261no—
1111D42—261no—
1112D42C2×D1311yescharacteristic, complemented
1113C2×#127—131no—
1114C2×#124—131no—
1115C2×#123—261no—
1116C2×C22⋊Q8—131no—
1117C2×#121—131no—
1118C2×#121—131no—
1119C2×#121—131no—
1120C2×#121—261no—
1121C2×#121—261no—
1122C2×#120—261no—
1123C2×#120—261no—
1124C2×#120—261no—
1125C2×C4×D4—131no—
1126C2×C4×D4—131no—
1127C2×C4×D4—131no—
1128C22×C22⋊C4—261no—
1129#496—131no—
1130#496—131no—
1131#496—131no—
1132#496—131no—
1133#496—131no—
1134#496—131no—
1135#496—131no—
1136#496C2×D1311yescharacteristic, complemented
1137#469—131no—
1138#469—131no—
1139#469—131no—
1140#469—131no—
1141#469—131no—
1142#469—131no—
1143#469—131no—
1144#469C2×D1311yescharacteristic, complemented
1145#465—131no—
1146#465—131no—
1147#465—131no—
1148#465—131no—
1149#465—131no—
1150#465—131no—
1151#465—131no—
1152#465C2×D1311yescharacteristic, complemented
1153#463—131no—
1154#463—131no—
1155#463—131no—
1156#463—131no—
1157#463—131no—
1158#463—131no—
1159#463—131no—
1160#463C2×D1311yescharacteristic, complemented
1161#459—131no—
1162#459—131no—
1163#459—131no—
1164#459—131no—
1165#459—131no—
1166#459—131no—
1167#459—131no—
1168#459C2×D1311yescharacteristic, complemented
1169#450—131no—
1170#450—131no—
1171#450—131no—
1172#450—131no—
1173#450—131no—
1174#450—131no—
1175#450—131no—
1176#450C2×D1311yescharacteristic, complemented
1177#449—131no—
1178#449—131no—
1179#449—131no—
1180#449—131no—
1181#449—131no—
1182#449—131no—
1183#449—131no—
1184#449C2×D1311yescharacteristic, complemented
1185#447—131no—
1186#447—131no—
1187#447—131no—
1188#447—131no—
1189#447—131no—
1190#447—131no—
1191#447—131no—
1192#447—131no—
1193#447—131no—
1194#447—131no—
1195#447—131no—
1196#447—131no—
1197#447—131no—
1198#447—131no—
1199#447C2×D1311yescharacteristic, complemented
1200#447C2×D1311yescharacteristic, complemented
1201#442—131no—
1202#442—131no—
1203#442—131no—
1204#442—131no—
1205#442—131no—
1206#442—131no—
1207#442—131no—
1208#442C2×D1311yescharacteristic, complemented
1209#435—131no—
1210#435—131no—
1211#435—131no—
1212#435—131no—
1213#435—131no—
1214#435—131no—
1215#435—131no—
1216#435C2×D1311yescharacteristic, complemented
1217C2×#106—131no—
1218C2×C4⋊C8—131no—
1219C2×#103—131no—
1220C2×#102—131no—
1221C2×#102—131no—
1222C2×#102—131no—
1223C2×#102—131no—
1224C2×#102—131no—
1225C2×C22⋊C8—131no—
1226C2×C22⋊C8—131no—
1227C2×#97—131no—
1228C22×C13—21no—
1229C22×C13—21no—
1230C22×C13—21no—
1231C22×C13—22no—
1232C22×C13—22no—
1233C22×C13—21no—
1234C22×C13—21no—
1235C22×C13—41no—
1236C22×C13—41no—
1237C22×C13—41no—
1238C22×C13—41no—
1239C22×C13—41no—
1240C22×C13—41no—
1241C22×C13—41no—
1242C22×C13—41no—
1243C22×C13—41no—
1244C22×C13—41no—
1245C22×C13—41no—
1246C22×C13—41no—
1247C22×C13—41no—
1248C22×C13—84no—
1249C22×C13—84no—
1250C22×C13—84no—
1251C22×C13C2×AGL(1,ℤ/8)12yescomplemented
1252C22×C13C23×D411yescharacteristic
1253C2×D13—21no—
1254C2×D13—21no—
1255C2×D13—28no—
1256C2×D13—21no—
1257C2×D13—22no—
1258C2×D13—22no—
1259C2×D13—21no—
1260C2×D13—21no—
1261C2×D13—41no—
1262C2×D13—41no—
1263C2×D13—41no—
1264C2×D13—41no—
1265C2×D13—44no—
1266C2×D13—48no—
1267C2×D13—48no—
1268C2×D13—41no—
1269C2×D13—41no—
1270C2×D13—41no—
1271C2×D13—41no—
1272C2×D13—41no—
1273C2×D13—41no—
1274C2×D13—41no—
1275C2×D13—41no—
1276C2×D13—41no—
1277C2×D13—84no—
1278C2×D13—84no—
1279C2×D13—84no—
1280C2×D13—84no—
1281C2×D13—84no—
1282C2×D13—84no—
1283C2×D13—84no—
1284C2×D13—84no—
1285C2×D13—84no—
1286C2×D13—84no—
1287C2×D13—84no—
1288C2×D13—84no—
1289C2×D13D4212yes—
1290C2×D13C2×AGL(1,ℤ/8)12yes—
1291C2×D13C2×AGL(1,ℤ/8)12yescomplemented
1292C2×D13#57612yes—
1293C4×C13—21no—
1294C4×C13—21no—
1295C4×C13—21no—
1296C4×C13—21no—
1297C4×C13—41no—
1298C4×C13—41no—
1299C4×C13—41no—
1300C4×C13C23×D411yescharacteristic
1301C4×C13C2×H(5,𝔽2)11yescharacteristic
1302Dic13—21no—
1303Dic13—21no—
1304Dic13—21no—
1305Dic13—21no—
1306Dic13—41no—
1307Dic13—41no—
1308Dic13—41no—
1309Dic13D4212yes—
1310C25—261no—
1311C25—261no—
1312C25—261no—
1313C2×#41—131no—
1314C2×#41—131no—
1315C2×#41—131no—
1316C2×#41—261no—
1317C2×#41—261no—
1318C2×#41—264no—
1319C2×#41—522no—
1320C2×#41C22×D1311yescharacteristic, complemented
1321C22×Q8—131no—
1322C22×D4—21no—
1323C22×D4—131no—
1324C22×D4—131no—
1325C22×D4—131no—
1326C22×D4—131no—
1327C22×D4—131no—
1328C22×D4—131no—
1329C22×D4—131no—
1330C22×D4—131no—
1331C22×D4—131no—
1332C22×D4—131no—
1333C22×D4—131no—
1334C22×D4—131no—
1335C22×D4—131no—
1336C22×D4—131no—
1337C22×D4—131no—
1338C22×D4—261no—
1339C22×D4—261no—
1340C22×D4—261no—
1341C22×D4—261no—
1342C22×D4—261no—
1343C22×D4—261no—
1344C22×D4—261no—
1345C22×D4—261no—
1346C22×D4—261no—
1347C22×D4—261no—
1348C22×D4—261no—
1349C22×D4—261no—
1350C22×D4—264no—
1351C22×D4—264no—
1352C22×D4—264no—
1353C22×D4—261no—
1354C22×D4—261no—
1355C22×D4—261no—
1356C22×D4—261no—
1357C22×D4—261no—
1358C22×D4—261no—
1359C22×D4—261no—
1360C22×D4—261no—
1361C22×D4—261no—
1362C22×D4—261no—
1363C22×D4—522no—
1364C22×D4—522no—
1365C22×D4—522no—
1366C22×D4—528no—
1367C22×D4C22×D1311yescharacteristic
1368C22×D4C22×D1311yescharacteristic, complemented
1369C22×D4C22×D1311yescharacteristic, complemented
1370C23×C4—131no—
1371C23×C4—131no—
1372C23×C4—261no—
1373C23×C4—261no—
1374C23×C4—261no—
1375AGL(1,ℤ/8)—24no—
1376AGL(1,ℤ/8)—264no—
1377AGL(1,ℤ/8)—264no—
1378AGL(1,ℤ/8)—264no—
1379AGL(1,ℤ/8)—264no—
1380AGL(1,ℤ/8)—264no—
1381AGL(1,ℤ/8)—264no—
1382AGL(1,ℤ/8)—264no—
1383C2×SD16—131no—
1384C2×SD16—131no—
1385C2×SD16—131no—
1386C2×SD16—131no—
1387C2×SD16—131no—
1388C2×SD16—131no—
1389C2×SD16—131no—
1390C2×SD16—131no—
1391C2×SD16—131no—
1392C2×SD16—264no—
1393C2×SD16—264no—
1394C2×SD16—522no—
1395C2×SD16C22×D1311yescharacteristic, complemented
1396C2×SD16C22×D1311yescharacteristic, complemented
1397C2×SD16C22×D1311yescharacteristic, complemented
1398C2×D8—24no—
1399C2×D8—131no—
1400C2×D8—131no—
1401C2×D8—138no—
1402C2×D8—131no—
1403C2×D8—131no—
1404C2×D8—131no—
1405C2×D8—131no—
1406C2×D8—131no—
1407C2×D8—131no—
1408C2×D8—131no—
1409C2×D8—131no—
1410C2×D8—131no—
1411C2×D8—131no—
1412C2×D8—131no—
1413C2×D8—131no—
1414C2×D8—131no—
1415C2×D8—131no—
1416C2×D8—131no—
1417C2×D8—131no—
1418C2×D8—264no—
1419C2×D8—264no—
1420C2×D8—264no—
1421C2×D8—264no—
1422C2×D8—264no—
1423C2×D8—264no—
1424C2×D8—264no—
1425C2×D8—264no—
1426C2×D8—264no—
1427C2×D8—264no—
1428C2×D8—264no—
1429C2×D8—522no—
1430C2×D8C22×D1311yescharacteristic
1431C2×D8C22×D1311yescharacteristic
1432C2×D8C22×D1311yescharacteristic, complemented
1433C2×D8C22×D1311yescharacteristic, complemented
1434C2×D8C22×D1311yescharacteristic, complemented
1435C2×D8C22×D1311yescharacteristic, complemented
1436C2×M16—131no—
1437C2×M16—131no—
1438C2×M16—131no—
1439C2×M16—264no—
1440C2×M16C22×D1311yescharacteristic, complemented
1441C22×C8—131no—
1442C22×C8—131no—
1443C22×C8—131no—
1444C22×C8—131no—
1445C22×C8—131no—
1446C22×C8—131no—
1447C22×C8—131no—
1448C22×C8—264no—
1449C22×C8C22×D1311yescharacteristic, complemented
1450#127—131no—
1451#127—131no—
1452#127—131no—
1453#127—261no—
1454#127—261no—
1455#127C22×D1311yescharacteristic, complemented
1456#124—131no—
1457#124—131no—
1458#124—131no—
1459#124—261no—
1460#124—261no—
1461#124C22×D1311yescharacteristic, complemented
1462#123—21no—
1463#123—261no—
1464#123—261no—
1465#123—261no—
1466#123—261no—
1467#123—261no—
1468#123—261no—
1469#123—261no—
1470C22⋊Q8—131no—
1471C22⋊Q8—131no—
1472C22⋊Q8—131no—
1473C22⋊Q8—261no—
1474C22⋊Q8—261no—
1475C22⋊Q8C22×D1311yescharacteristic, complemented
1476#121—21no—
1477#121—21no—
1478#121—131no—
1479#121—131no—
1480#121—131no—
1481#121—131no—
1482#121—131no—
1483#121—131no—
1484#121—131no—
1485#121—131no—
1486#121—131no—
1487#121—261no—
1488#121—261no—
1489#121—261no—
1490#121—261no—
1491#121—261no—
1492#121—261no—
1493#121—261no—
1494#121—261no—
1495#121—261no—
1496#121—261no—
1497#121—261no—
1498#121—261no—
1499#121—261no—
1500#121—261no—
1501#121—261no—
1502#121—261no—
1503#121—261no—
1504#121—261no—
1505#121—261no—
1506#121—261no—
1507#121C22×D1311yescharacteristic
1508#121C22×D1311yescharacteristic, complemented
1509#121C22×D1311yescharacteristic, complemented
1510#120—21no—
1511#120—21no—
1512#120—21no—
1513#120—261no—
1514#120—261no—
1515#120—261no—
1516#120—261no—
1517#120—261no—
1518#120—261no—
1519#120—261no—
1520#120—261no—
1521#120—261no—
1522#120—261no—
1523#120—261no—
1524#120—261no—
1525#120—261no—
1526#120—261no—
1527#120—261no—
1528#120—261no—
1529#120—261no—
1530#120—261no—
1531#120—261no—
1532#120—261no—
1533#120—261no—
1534C4×D4—131no—
1535C4×D4—131no—
1536C4×D4—131no—
1537C4×D4—131no—
1538C4×D4—131no—
1539C4×D4—131no—
1540C4×D4—131no—
1541C4×D4—131no—
1542C4×D4—131no—
1543C4×D4—131no—
1544C4×D4—131no—
1545C4×D4—131no—
1546C4×D4—131no—
1547C4×D4—261no—
1548C4×D4—261no—
1549C4×D4—261no—
1550C4×D4—261no—
1551C4×D4C22×D1311yescharacteristic
1552C4×D4C22×D1311yescharacteristic, complemented
1553C4×D4C22×D1311yescharacteristic, complemented
1554C2×C4⋊C4—131no—
1555C2×C4⋊C4—131no—
1556C2×C4⋊C4—131no—
1557C2×C4⋊C4—261no—
1558C2×C22⋊C4—21no—
1559C2×C22⋊C4—131no—
1560C2×C22⋊C4—131no—
1561C2×C22⋊C4—261no—
1562C2×C22⋊C4—261no—
1563C2×C22⋊C4—261no—
1564C2×C22⋊C4—261no—
1565C2×C22⋊C4—261no—
1566C2×C22⋊C4—261no—
1567C2×C22⋊C4—261no—
1568C2×C22⋊C4—261no—
1569C2×C22⋊C4—261no—
1570C2×C22⋊C4—261no—
1571C2×C22⋊C4—261no—
1572C2×C22⋊C4—261no—
1573C2×C22⋊C4—261no—
1574C2×C22⋊C4—261no—
1575C2×C22⋊C4—261no—
1576C2×C42—131no—
1577#106—131no—
1578#106—131no—
1579#106—131no—
1580#106C22×D1311yescharacteristic, complemented
1581C4⋊C8—131no—
1582C4⋊C8—131no—
1583C4⋊C8—131no—
1584C4⋊C8C22×D1311yescharacteristic, complemented
1585#103—131no—
1586#103—131no—
1587#103—131no—
1588#103C22×D1311yescharacteristic, complemented
1589#102—131no—
1590#102—131no—
1591#102—131no—
1592#102—131no—
1593#102—131no—
1594#102—131no—
1595#102—131no—
1596#102—131no—
1597#102—131no—
1598#102—131no—
1599#102—131no—
1600#102—131no—
1601#102—131no—
1602#102—131no—
1603#102—131no—
1604#102C22×D1311yescharacteristic, complemented
1605#102C22×D1311yescharacteristic, complemented
1606#102C22×D1311yescharacteristic, complemented
1607#102C22×D1311yescharacteristic, complemented
1608#102C22×D1311yescharacteristic, complemented
1609C22⋊C8—131no—
1610C22⋊C8—131no—
1611C22⋊C8—131no—
1612C22⋊C8—131no—
1613C22⋊C8—131no—
1614C22⋊C8—131no—
1615C22⋊C8C22×D1311yescharacteristic, complemented
1616C22⋊C8C22×D1311yescharacteristic, complemented
1617#97—131no—
1618#97—131no—
1619#97—131no—
1620#97C22×D1311yescharacteristic, complemented
1621C2×C13—22no—
1622C2×C13—41no—
1623C2×C13—42no—
1624C2×C13—42no—
1625C2×C13—81no—
1626C2×C13—81no—
1627C2×C13—81no—
1628C2×C13C2×D4211yescharacteristic
1629C2×C13C22×AGL(1,ℤ/8)11yescharacteristic
1630C2×C13C2×#57611yescharacteristic
1631D13—22no—
1632D13—41no—
1633D13—42no—
1634D13—42no—
1635D13—81no—
1636D13—81no—
1637D13—81no—
1638D13#326414yesdirect product factor
1639C24—21no—
1640C24—21no—
1641C24—21no—
1642C24—131no—
1643C24—131no—
1644C24—261no—
1645C24—261no—
1646C24—261no—
1647C24—261no—
1648C24—261no—
1649C24—261no—
1650C24—261no—
1651C24—261no—
1652C24—261no—
1653C24—261no—
1654C24—261no—
1655C24—261no—
1656C24—261no—
1657C24—261no—
1658C24—524no—
1659C24—524no—
1660C24—524no—
1661C24—524no—
1662C24—524no—
1663C24—524no—
1664C24—1042no—
1665C24—1042no—
1666C24—1042no—
1667#41—22no—
1668#41—41no—
1669#41—262no—
1670#41—262no—
1671#41—262no—
1672#41—521no—
1673#41—524no—
1674#41—521no—
1675#41—524no—
1676#41—521no—
1677C2×Q8—131no—
1678C2×Q8—261no—
1679C2×Q8—262no—
1680C2×Q8—262no—
1681C2×Q8C23×D1311yescharacteristic
1682C2×D4—22no—
1683C2×D4—22no—
1684C2×D4—22no—
1685C2×D4—21no—
1686C2×D4—21no—
1687C2×D4—21no—
1688C2×D4—21no—
1689C2×D4—21no—
1690C2×D4—21no—
1691C2×D4—21no—
1692C2×D4—21no—
1693C2×D4—21no—
1694C2×D4—41no—
1695C2×D4—41no—
1696C2×D4—41no—
1697C2×D4—44no—
1698C2×D4—134no—
1699C2×D4—134no—
1700C2×D4—131no—
1701C2×D4—131no—
1702C2×D4—131no—
1703C2×D4—131no—
1704C2×D4—131no—
1705C2×D4—131no—
1706C2×D4—131no—
1707C2×D4—131no—
1708C2×D4—262no—
1709C2×D4—262no—
1710C2×D4—262no—
1711C2×D4—261no—
1712C2×D4—261no—
1713C2×D4—261no—
1714C2×D4—261no—
1715C2×D4—262no—
1716C2×D4—262no—
1717C2×D4—262no—
1718C2×D4—262no—
1719C2×D4—262no—
1720C2×D4—262no—
1721C2×D4—262no—
1722C2×D4—262no—
1723C2×D4—261no—
1724C2×D4—261no—
1725C2×D4—261no—
1726C2×D4—261no—
1727C2×D4—261no—
1728C2×D4—261no—
1729C2×D4—261no—
1730C2×D4—261no—
1731C2×D4—261no—
1732C2×D4—261no—
1733C2×D4—261no—
1734C2×D4—261no—
1735C2×D4—261no—
1736C2×D4—261no—
1737C2×D4—261no—
1738C2×D4—262no—
1739C2×D4—262no—
1740C2×D4—262no—
1741C2×D4—264no—
1742C2×D4—262no—
1743C2×D4—262no—
1744C2×D4—262no—
1745C2×D4—261no—
1746C2×D4—261no—
1747C2×D4—261no—
1748C2×D4—261no—
1749C2×D4—261no—
1750C2×D4—261no—
1751C2×D4—261no—
1752C2×D4—261no—
1753C2×D4—261no—
1754C2×D4—261no—
1755C2×D4—261no—
1756C2×D4—261no—
1757C2×D4—261no—
1758C2×D4—521no—
1759C2×D4—521no—
1760C2×D4—521no—
1761C2×D4—524no—
1762C2×D4—521no—
1763C2×D4—521no—
1764C2×D4—521no—
1765C2×D4—521no—
1766C2×D4—521no—
1767C2×D4—521no—
1768C2×D4—524no—
1769C2×D4—524no—
1770C2×D4—524no—
1771C2×D4—524no—
1772C2×D4—524no—
1773C2×D4—524no—
1774C2×D4—524no—
1775C2×D4—524no—
1776C2×D4—524no—
1777C2×D4—524no—
1778C2×D4—524no—
1779C2×D4—524no—
1780C2×D4—524no—
1781C2×D4—524no—
1782C2×D4—524no—
1783C2×D4—524no—
1784C2×D4—524no—
1785C2×D4—524no—
1786C2×D4—524no—
1787C2×D4—1042no—
1788C2×D4—1042no—
1789C2×D4D4×D1311yescharacteristic
1790C2×D4C23×D1311yescharacteristic
1791C2×D4C23×D1311yescharacteristic
1792C2×D4C23×D1311yescharacteristic
1793C2×D4C23×D1311yescharacteristic
1794C2×D4C23×D1311yescharacteristic
1795C22×C4—21no—
1796C22×C4—21no—
1797C22×C4—21no—
1798C22×C4—131no—
1799C22×C4—131no—
1800C22×C4—131no—
1801C22×C4—131no—
1802C22×C4—131no—
1803C22×C4—131no—
1804C22×C4—131no—
1805C22×C4—131no—
1806C22×C4—131no—
1807C22×C4—131no—
1808C22×C4—131no—
1809C22×C4—262no—
1810C22×C4—262no—
1811C22×C4—262no—
1812C22×C4—262no—
1813C22×C4—261no—
1814C22×C4—261no—
1815C22×C4—261no—
1816C22×C4—261no—
1817C22×C4—261no—
1818C22×C4—261no—
1819C22×C4—261no—
1820C22×C4—261no—
1821C22×C4—261no—
1822C22×C4—261no—
1823C22×C4—261no—
1824C22×C4—261no—
1825C22×C4—524no—
1826C22×C4—524no—
1827C22×C4—1042no—
1828C22×C4C23×D1311yescharacteristic
1829C22×C4C23×D1311yescharacteristic
1830SD16—22no—
1831SD16—22no—
1832SD16—41no—
1833SD16—262no—
1834SD16—262no—
1835SD16—262no—
1836SD16—262no—
1837SD16—262no—
1838SD16—262no—
1839SD16—521no—
1840SD16—521no—
1841SD16—521no—
1842D8—22no—
1843D8—22no—
1844D8—22no—
1845D8—22no—
1846D8—41no—
1847D8—134no—
1848D8—134no—
1849D8—134no—
1850D8—262no—
1851D8—262no—
1852D8—262no—
1853D8—262no—
1854D8—262no—
1855D8—262no—
1856D8—262no—
1857D8—262no—
1858D8—262no—
1859D8—262no—
1860D8—262no—
1861D8—262no—
1862D8—521no—
1863D8—521no—
1864D8—521no—
1865D8D4×D1314yescomplemented
1866M16—22no—
1867M16—262no—
1868M16—262no—
1869M16—262no—
1870C2×C8—22no—
1871C2×C8—131no—
1872C2×C8—134no—
1873C2×C8—131no—
1874C2×C8—131no—
1875C2×C8—131no—
1876C2×C8—262no—
1877C2×C8—262no—
1878C2×C8—262no—
1879C2×C8—262no—
1880C2×C8—262no—
1881C2×C8—262no—
1882C2×C8C23×D1311yescharacteristic
1883C2×C8C23×D1311yescharacteristic
1884C2×C8C23×D1311yescharacteristic
1885C2×C8C23×D1311yescharacteristic
1886C4⋊C4—21no—
1887C4⋊C4—131no—
1888C4⋊C4—131no—
1889C4⋊C4—131no—
1890C4⋊C4—131no—
1891C4⋊C4—131no—
1892C4⋊C4—261no—
1893C4⋊C4—261no—
1894C4⋊C4—261no—
1895C4⋊C4—261no—
1896C4⋊C4—261no—
1897C4⋊C4D4×D1311yescharacteristic
1898C4⋊C4C23×D1311yescharacteristic
1899C4⋊C4C23×D1311yescharacteristic
1900C22⋊C4—21no—
1901C22⋊C4—21no—
1902C22⋊C4—21no—
1903C22⋊C4—21no—
1904C22⋊C4—21no—
1905C22⋊C4—21no—
1906C22⋊C4—21no—
1907C22⋊C4—21no—
1908C22⋊C4—131no—
1909C22⋊C4—131no—
1910C22⋊C4—131no—
1911C22⋊C4—131no—
1912C22⋊C4—131no—
1913C22⋊C4—131no—
1914C22⋊C4—261no—
1915C22⋊C4—261no—
1916C22⋊C4—261no—
1917C22⋊C4—261no—
1918C22⋊C4—261no—
1919C22⋊C4—261no—
1920C22⋊C4—261no—
1921C22⋊C4—261no—
1922C22⋊C4—261no—
1923C22⋊C4—261no—
1924C22⋊C4—261no—
1925C22⋊C4—261no—
1926C22⋊C4—261no—
1927C22⋊C4—261no—
1928C22⋊C4—261no—
1929C22⋊C4—261no—
1930C22⋊C4—261no—
1931C22⋊C4—261no—
1932C22⋊C4—261no—
1933C22⋊C4—261no—
1934C22⋊C4—261no—
1935C22⋊C4—261no—
1936C22⋊C4—261no—
1937C22⋊C4—261no—
1938C22⋊C4D4×D1311yescharacteristic
1939C22⋊C4D4×D1311yescharacteristic
1940C42—131no—
1941C42—131no—
1942C42—131no—
1943C42C23×D1311yescharacteristic
1944C13C2×#326411yescharacteristic, complemented, Sylow
1945C23—21no—
1946C23—21no—
1947C23—21no—
1948C23—21no—
1949C23—21no—
1950C23—42no—
1951C23—42no—
1952C23—42no—
1953C23—42no—
1954C23—42no—
1955C23—42no—
1956C23—81no—
1957C23—81no—
1958C23—81no—
1959C23—131no—
1960C23—134no—
1961C23—131no—
1962C23—131no—
1963C23—262no—
1964C23—262no—
1965C23—262no—
1966C23—264no—
1967C23—264no—
1968C23—262no—
1969C23—262no—
1970C23—261no—
1971C23—261no—
1972C23—261no—
1973C23—261no—
1974C23—261no—
1975C23—522no—
1976C23—522no—
1977C23—522no—
1978C23—522no—
1979C23—522no—
1980C23—522no—
1981C23—522no—
1982C23—522no—
1983C23—522no—
1984C23—522no—
1985C23—522no—
1986C23—522no—
1987C23—522no—
1988C23—522no—
1989C23—522no—
1990C23—522no—
1991C23—522no—
1992C23—522no—
1993C23—522no—
1994C23—522no—
1995C23—522no—
1996C23—522no—
1997C23—522no—
1998C23—522no—
1999C23—522no—
2000C23—522no—
2001C23—522no—
2002C23—522no—
2003C23—522no—
2004C23—522no—
2005C23—522no—
2006C23—1041no—
2007C23—1041no—
2008C23—1041no—
2009C23—1041no—
2010C23—1041no—
2011C23—1041no—
2012C23—1041no—
2013C23—1041no—
2014C23—1041no—
2015C23—10416no—
2016C23—10416no—
2017C23—10416no—
2018C23C2×D4×D1311yescharacteristic
2019C23C2×D4×D1311yescharacteristic
2020Q8—21no—
2021Q8—21no—
2022Q8—261no—
2023Q8—261no—
2024Q8—522no—
2025D4—22no—
2026D4—21no—
2027D4—21no—
2028D4—21no—
2029D4—21no—
2030D4—21no—
2031D4—21no—
2032D4—21no—
2033D4—21no—
2034D4—42no—
2035D4—42no—
2036D4—42no—
2037D4—42no—
2038D4—42no—
2039D4—42no—
2040D4—42no—
2041D4—81no—
2042D4—81no—
2043D4—132no—
2044D4—132no—
2045D4—262no—
2046D4—264no—
2047D4—264no—
2048D4—262no—
2049D4—262no—
2050D4—261no—
2051D4—261no—
2052D4—261no—
2053D4—261no—
2054D4—261no—
2055D4—261no—
2056D4—261no—
2057D4—261no—
2058D4—522no—
2059D4—522no—
2060D4—522no—
2061D4—522no—
2062D4—522no—
2063D4—522no—
2064D4—522no—
2065D4—522no—
2066D4—522no—
2067D4—522no—
2068D4—522no—
2069D4—522no—
2070D4—522no—
2071D4—522no—
2072D4—522no—
2073D4—522no—
2074D4—522no—
2075D4—522no—
2076D4—522no—
2077D4—522no—
2078D4—522no—
2079D4—522no—
2080D4—522no—
2081D4—522no—
2082D4—1041no—
2083D4—1041no—
2084D4—1041no—
2085D4—1041no—
2086D4—1041no—
2087D4—1041no—
2088D4C2×D4×D1312yes—
2089D4C2×D4×D1312yescomplemented
2090C2×C4—21no—
2091C2×C4—21no—
2092C2×C4—21no—
2093C2×C4—21no—
2094C2×C4—21no—
2095C2×C4—21no—
2096C2×C4—21no—
2097C2×C4—42no—
2098C2×C4—42no—
2099C2×C4—81no—
2100C2×C4—131no—
2101C2×C4—132no—
2102C2×C4—132no—
2103C2×C4—131no—
2104C2×C4—131no—
2105C2×C4—131no—
2106C2×C4—131no—
2107C2×C4—262no—
2108C2×C4—262no—
2109C2×C4—262no—
2110C2×C4—262no—
2111C2×C4—262no—
2112C2×C4—262no—
2113C2×C4—262no—
2114C2×C4—262no—
2115C2×C4—261no—
2116C2×C4—261no—
2117C2×C4—261no—
2118C2×C4—261no—
2119C2×C4—261no—
2120C2×C4—261no—
2121C2×C4—261no—
2122C2×C4—522no—
2123C2×C4—522no—
2124C2×C4—522no—
2125C2×C4—522no—
2126C2×C4—522no—
2127C2×C4—522no—
2128C2×C4—522no—
2129C2×C4—522no—
2130C2×C4—522no—
2131C2×C4—1041no—
2132C2×C4—1041no—
2133C2×C4—1041no—
2134C2×C4C2×D4×D1311yescharacteristic
2135C2×C4C2×D4×D1311yescharacteristic
2136C2×C4C2×D4×D1311yescharacteristic
2137C2×C4C2×D4×D1311yescharacteristic
2138C2×C4C24×D1311yescharacteristic
2139C8—21no—
2140C8—21no—
2141C8—21no—
2142C8—132no—
2143C8—261no—
2144C8—261no—
2145C8—261no—
2146C8C2×D4×D1312yescomplemented
2147C22—21no—
2148C22—21no—
2149C22—21no—
2150C22—22no—
2151C22—22no—
2152C22—21no—
2153C22—21no—
2154C22—41no—
2155C22—41no—
2156C22—41no—
2157C22—41no—
2158C22—41no—
2159C22—41no—
2160C22—41no—
2161C22—41no—
2162C22—41no—
2163C22—41no—
2164C22—41no—
2165C22—41no—
2166C22—41no—
2167C22—84no—
2168C22—84no—
2169C22—84no—
2170C22—132no—
2171C22—132no—
2172C22—132no—
2173C22—132no—
2174C22—268no—
2175C22—261no—
2176C22—261no—
2177C22—261no—
2178C22—262no—
2179C22—262no—
2180C22—261no—
2181C22—261no—
2182C22—524no—
2183C22—528no—
2184C22—528no—
2185C22—521no—
2186C22—521no—
2187C22—521no—
2188C22—521no—
2189C22—521no—
2190C22—521no—
2191C22—521no—
2192C22—521no—
2193C22—521no—
2194C22—521no—
2195C22—521no—
2196C22—521no—
2197C22—521no—
2198C22—1044no—
2199C22—1044no—
2200C22—1044no—
2201C22—1044no—
2202C22—1044no—
2203C22—1044no—
2204C22—1044no—
2205C22—1044no—
2206C22—1044no—
2207C22—1044no—
2208C22—1044no—
2209C22—1044no—
2210C22D13×AGL(1,ℤ/8)12yescomplemented
2211C22C22×D4×D1311yescharacteristic
2212C4—21no—
2213C4—21no—
2214C4—21no—
2215C4—21no—
2216C4—41no—
2217C4—41no—
2218C4—41no—
2219C4—132no—
2220C4—261no—
2221C4—261no—
2222C4—261no—
2223C4—261no—
2224C4—521no—
2225C4—521no—
2226C4—521no—
2227C4C22×D4×D1311yescharacteristic
2228C4D13×H(5,𝔽2)11yescharacteristic
2229C2—22no—
2230C2—41no—
2231C2—42no—
2232C2—42no—
2233C2—81no—
2234C2—81no—
2235C2—81no—
2236C2—134no—
2237C2—262no—
2238C2—521no—
2239C2—522no—
2240C2—522no—
2241C2—1041no—
2242C2—1041no—
2243C2—1041no—
2244C2D42×D1311yescharacteristic
2245C2C2×D13×AGL(1,ℤ/8)11yescharacteristic
2246C2D13×#57611yescharacteristic
subgroupG/H
centerC22C22×D4×D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3264C2
socleC22×C13C23×D4
hypercenter#3264D13
hypocenterC13C2×#3264
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. C2×D13×AGL(1,ℤ/8)C2semidirect
2. C22×D8×D13C2semidirect
3. D13×#546C2semidirect
4. D42×D13C2semidirect
5. #13126323C2semidirect
6. #13126322C2semidirect
7. #13126321C2semidirect
8. #13126320C2semidirect
9. #13126319C2semidirect
10. #13126318C2semidirect
11. #13126317C2semidirect
12. #13126316C2semidirect
13. #13126315C2semidirect
14. #13126314C2semidirect
15. #13126313C2semidirect
16. #13126312C2semidirect
17. #13126311C2semidirect
18. #13126310C2semidirect
19. #13126309C2semidirect
20. D13×#496C2semidirect
21. D13×#469C2semidirect
22. D13×#465C2semidirect
23. D13×#463C2semidirect
24. D13×#459C2semidirect
25. D13×#449C2semidirect
26. D13×#450C2semidirect
27. D13×#447C2semidirect
28. D13×#447C2semidirect
29. D13×#442C2semidirect
30. D13×#435C2semidirect
31. C13×#3264C2semidirect
32. C2×#41×D13C22semidirect
35. C22×D4×D13C22semidirect
36. C22×D4×D13C22semidirect
37. C2×C13×AGL(1,ℤ/8)C22semidirect
38. C22×C13×D8C22semidirect
39. C13×#546C22semidirect
40. D42×C13C22semidirect
41. #11719534C22semidirect
42. C2×#88203C22semidirect
43. #11719511C22semidirect
45. D4×C22⋊D13C22semidirect
46. D4×C22⋊D13C22semidirect
47. C2×#88186C22semidirect
48. C22×#6104C22semidirect
49. C22×#6104C22semidirect
51. C2×#88168C22semidirect
52. C2×#88168C22semidirect
53. C2×SD16×D13C22semidirect
54. C2×SD16×D13C22semidirect
55. C2×SD16×D13C22semidirect
56. C2×#88165C22semidirect
57. C2×#88165C22semidirect
61. C2×D8×D13C22semidirect
62. C2×D8×D13C22semidirect
63. C2×D8×D13C22semidirect
64. C2×D8×D13C22semidirect
65. C2×D8×D13C22semidirect
66. C2×D8×D13C22semidirect
67. C2×D8×D13C22semidirect
68. C2×D8×D13C22semidirect
69. C2×#88162C22semidirect
70. C2×M16×D13C22semidirect
71. C22×D104C22semidirect
72. C22×C8×D13C22semidirect
73. #11719422C22semidirect
74. D13×#127C22semidirect
75. #11719381C22semidirect
76. D13×#124C22semidirect
79. #11719335C22semidirect
80. D13×C22⋊Q8C22semidirect
81. #11719317C22semidirect
84. #11719314C22semidirect
85. #11719314C22semidirect
89. D13×#121C22semidirect
90. D13×#121C22semidirect
97. #11719259C22semidirect
98. #11719255C22semidirect
99. D4×D52C22semidirect
100. D4×D52C22semidirect
102. C4×D4×D13C22semidirect
103. C4×D4×D13C22semidirect
106. C13×#496C22semidirect
107. C13×#469C22semidirect
108. C13×#465C22semidirect
109. C13×#463C22semidirect
110. C13×#459C22semidirect
111. C13×#450C22semidirect
112. C13×#449C22semidirect
113. C13×#447C22semidirect
114. C13×#447C22semidirect
115. C13×#442C22semidirect
116. C13×#435C22semidirect
117. #11718899C22semidirect
118. #11718879C22semidirect
119. #11718878C22semidirect
120. #11718878C22semidirect
121. #11718837C22semidirect
122. #11718837C22semidirect
123. #11718833C22semidirect
124. #11718832C22semidirect
125. #11718830C22semidirect
126. #11718830C22semidirect
127. #11718826C22semidirect
128. #11718820C22semidirect
129. #11718819C22semidirect
130. #11718817C22semidirect
131. #11718817C22semidirect
132. #11718817C22semidirect
133. #11718817C22semidirect
134. #11718815C22semidirect
135. #11718815C22semidirect
136. #11718814C22semidirect
137. #11718813C22semidirect
138. #11718811C22semidirect
139. #11718811C22semidirect
140. #11718796C22semidirect
141. #11718788C22semidirect
142. #11718775C22semidirect
143. #11718772C22semidirect
144. #11718735C22semidirect
145. #11718733C22semidirect
146. #11718719C22semidirect
147. #11718718C22semidirect
148. #11718709C22semidirect
149. #11718707C22semidirect
150. #11718702C22semidirect
151. #11718700C22semidirect
152. #11718700C22semidirect
153. #11718698C22semidirect
154. #11718697C22semidirect
155. #11718697C22semidirect
156. #11718677C22semidirect
157. #11718676C22semidirect
158. #11718675C22semidirect
159. #11718675C22semidirect
160. #11718672C22semidirect
161. #11718530C22semidirect
162. #11718526C22semidirect
163. #11718525C22semidirect
164. D13×#106C22semidirect
165. #11718505C22semidirect
166. #11718504C22semidirect
167. #11718497C22semidirect
168. D13×C4⋊C8C22semidirect
169. #11718480C22semidirect
170. #11718472C22semidirect
171. #11718468C22semidirect
172. D13×#103C22semidirect
173. #11718448C22semidirect
174. #11718447C22semidirect
175. #11718447C22semidirect
176. #11718446C22semidirect
177. #11718446C22semidirect
178. #11718443C22semidirect
179. #11718443C22semidirect
180. #11718442C22semidirect
181. #11718439C22semidirect
182. #11718437C22semidirect
183. #11718437C22semidirect
184. #11718434C22semidirect
185. #11718434C22semidirect
186. #11718434C22semidirect
187. #11718434C22semidirect
188. D13×#102C22semidirect
189. D13×#102C22semidirect
190. D13×#102C22semidirect
191. D13×#102C22semidirect
192. D13×#102C22semidirect
193. #11718395C22semidirect
194. #11718393C22semidirect
195. #11718393C22semidirect
196. #11718392C22semidirect
197. #11718391C22semidirect
198. #11718389C22semidirect
199. D13×C22⋊C8C22semidirect
200. D13×C22⋊C8C22semidirect
201. #11718373C22semidirect
202. #11718372C22semidirect
203. #11718367C22semidirect
204. D13×#97C22semidirect
208. C2×C13×#41C23semidirect
211. C22×D4×C13C23semidirect
212. C22×D4×C13C23semidirect
220. C2×#6131C23semidirect
223. C2×#6129C23semidirect
255. C2×D4×D13C23semidirect
256. C2×D4×D13C23semidirect
257. C2×D4×D13C23semidirect
258. C2×D4×D13C23semidirect
260. C2×#6127C23semidirect
263. C22×D52C23semidirect
264. C22×D52C23semidirect
271. C2×C13×SD16C23semidirect
272. C2×C13×SD16C23semidirect
273. C2×C13×SD16C23semidirect
277. C2×C13×D8C23semidirect
278. C2×C13×D8C23semidirect
279. C2×C13×D8C23semidirect
280. C2×C13×D8C23semidirect
281. C2×C13×M16C23semidirect
282. C22×C8×C13C23semidirect
283. C13×#127C23semidirect
284. C13×#124C23semidirect
286. C13×C22⋊Q8C23semidirect
290. C13×#121C23semidirect
291. C13×#121C23semidirect
296. C4×D4×C13C23semidirect
297. C4×D4×C13C23semidirect
304. #88201C23semidirect
305. #88200C23semidirect
306. C2×#6106C23semidirect
307. C2×#6106C23semidirect
308. C2×#6106C23semidirect
311. #88194C23semidirect
312. #88194C23semidirect
323. #88192C23semidirect
324. #88192C23semidirect
334. #88190C23semidirect
337. D4×Dic13C23semidirect
338. D4×Dic13C23semidirect
339. C2×#6105C23semidirect
340. C2×#6105C23semidirect
341. C2×#6105C23semidirect
349. C2×#6104C23semidirect
350. C2×#6104C23semidirect
351. C2×#6104C23semidirect
352. C2×#6104C23semidirect
353. C2×#6104C23semidirect
354. C2×#6104C23semidirect
355. C2×#6104C23semidirect
356. C2×#6104C23semidirect
360. #88184C23semidirect
361. #88184C23semidirect
369. #88178C23semidirect
370. C2×#6099C23semidirect
371. C22×#1055C23semidirect
388. D8×D13D4semidirect
394. C2×D104C23semidirect
395. C2×D104C23semidirect
396. C2×D104C23semidirect
397. C2×D104C23semidirect
398. C2×#6095C23semidirect
399. C2×#6095C23semidirect
400. C2×#6095C23semidirect
401. C2×#6094C23semidirect
402. C2×#6094C23semidirect
408. C2×C8×D13C23semidirect
409. C2×C8×D13C23semidirect
410. #88151C23semidirect
415. #88149C23semidirect
416. #88149C23semidirect
420. #88147C23semidirect
421. #88147C23semidirect
466. #88129C23semidirect
467. #88128C23semidirect
469. C4×D52C23semidirect
470. C4×D52C23semidirect
472. C13×#106C23semidirect
473. C13×C4⋊C8C23semidirect
474. C13×#103C23semidirect
475. C13×#102C23semidirect
476. C13×#102C23semidirect
477. C13×#102C23semidirect
478. C13×#102C23semidirect
479. C13×#102C23semidirect
480. C13×C22⋊C8C23semidirect
481. C13×C22⋊C8C23semidirect
482. C13×#97C23semidirect
483. #88075C23semidirect
484. #88072C23semidirect
485. #88072C23semidirect
486. #88072C23semidirect
487. #88072C23semidirect
488. #88072C23semidirect
489. C22⋊#1055C23semidirect
490. C22⋊#1055C23semidirect
491. #88061C23semidirect
492. #88061C23semidirect
493. #88061C23semidirect
494. #88061C23semidirect
495. #88061C23semidirect
496. #88060C23semidirect
497. #88060C23semidirect
498. #88060C23semidirect
499. #88060C23semidirect
500. #88057C23semidirect
501. #88056C23semidirect
502. #88055C23semidirect
503. #88055C23semidirect
504. #88054C23semidirect
505. #88054C23semidirect
506. #88050C23semidirect
507. #88049C23semidirect
508. #88049C23semidirect
509. #88049C23semidirect
510. #88049C23semidirect
511. #88049C23semidirect
512. #88048C23semidirect
513. #88048C23semidirect
514. C4⋊#1055C23semidirect
515. #88043C23semidirect
655. D4×D13C2×D4semidirect
716. C13×D8C2×D4semidirect
764. #6104C2×D4semidirect
765. #6104C2×D4semidirect
810. D104C2×D4semidirect
821. C8×D13C2×D4semidirect
841. #3264D13direct (N × H)
924. C22×D13AGL(1,ℤ/8)semidirect
949. D4×C13C22×D4semidirect
1022. D52C22×D4semidirect
1050. C8×C13C22×D4semidirect
1054. #1055C22×D4semidirect
1068. C2×AGL(1,ℤ/8)C2×D13semidirect
1086. C22×D8C2×D13semidirect
1100. #546C2×D13semidirect
1112. D42C2×D13semidirect
1136. #496C2×D13semidirect
1144. #469C2×D13semidirect
1152. #465C2×D13semidirect
1160. #463C2×D13semidirect
1168. #459C2×D13semidirect
1176. #450C2×D13semidirect
1184. #449C2×D13semidirect
1199. #447C2×D13semidirect
1200. #447C2×D13semidirect
1208. #442C2×D13semidirect
1216. #435C2×D13semidirect
1251. C22×C13C2×AGL(1,ℤ/8)semidirect
1291. C2×D13C2×AGL(1,ℤ/8)semidirect
1320. C2×#41C22×D13semidirect
1368. C22×D4C22×D13semidirect
1369. C22×D4C22×D13semidirect
1395. C2×SD16C22×D13semidirect
1396. C2×SD16C22×D13semidirect
1397. C2×SD16C22×D13semidirect
1432. C2×D8C22×D13semidirect
1433. C2×D8C22×D13semidirect
1434. C2×D8C22×D13semidirect
1435. C2×D8C22×D13semidirect
1440. C2×M16C22×D13semidirect
1449. C22×C8C22×D13semidirect
1455. #127C22×D13semidirect
1461. #124C22×D13semidirect
1475. C22⋊Q8C22×D13semidirect
1508. #121C22×D13semidirect
1509. #121C22×D13semidirect
1552. C4×D4C22×D13semidirect
1553. C4×D4C22×D13semidirect
1580. #106C22×D13semidirect
1584. C4⋊C8C22×D13semidirect
1588. #103C22×D13semidirect
1604. #102C22×D13semidirect
1605. #102C22×D13semidirect
1606. #102C22×D13semidirect
1607. #102C22×D13semidirect
1608. #102C22×D13semidirect
1615. C22⋊C8C22×D13semidirect
1616. C22⋊C8C22×D13semidirect
1620. #97C22×D13semidirect
1638. D13#3264direct (N × H)
1865. D8D4×D13semidirect
1944. C13C2×#3264semidirect
2089. D4C2×D4×D13semidirect
2146. C8C2×D4×D13semidirect
2210. C22D13×AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C2×D13×AGL(1,ℤ/8)2
C22×D8×D132
D13×#5462
D42×D132
#131263232
#131263222
#131263212
#131263202
#131263192
#131263182
#131263172
#131263162
#131263152
#131263142
#131263132
#131263122
#131263112
#131263102
#131263092
D13×#4962
D13×#4692
D13×#4652
D13×#4632
D13×#4592
D13×#4492
D13×#4502
D13×#4472
D13×#4422
D13×#4352
C13×#32642
C2×#326413