Finite Group Databasebeta

← #16748654

Subgroups — #16748654

Order 3328.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129129C211yesmaximal, characteristic, complemented
2#13127174C211yesmaximal, characteristic, complemented
3#13127089C211yesmaximal, characteristic, complemented
4#13126962C211yesmaximal, characteristic, complemented
5#13126947C211yesmaximal, characteristic, complemented
6#13126902C211yesmaximal, characteristic, complemented
7#13126842C211yesmaximal, characteristic, complemented
8#13126775C211yesmaximal, characteristic, complemented
9#13126723C211yesmaximal, characteristic, complemented
10#13126573C211yesmaximal, characteristic, complemented
11#13126566C211yesmaximal, characteristic, complemented
12#13126502C211yesmaximal, characteristic, complemented
13#13126489C211yesmaximal, characteristic, complemented
14#13126417C211yesmaximal, characteristic, complemented
15#13126417C211yesmaximal, characteristic, complemented
16#13126402C211yesmaximal, characteristic, complemented
17#13126392C211yesmaximal, characteristic, complemented
18#13125930C211yesmaximal, characteristic, complemented
19#13125908C211yesmaximal, characteristic, complemented
20#13125708C211yesmaximal, characteristic, complemented
21#13125688C211yesmaximal, characteristic, complemented
22#13125673C211yesmaximal, characteristic, complemented
23#13125613C211yesmaximal, characteristic, complemented
24#13125136C211yesmaximal, characteristic, complemented
25#13125065C211yesmaximal, characteristic, complemented
26#13124151C211yesmaximal, characteristic, complemented
27#13124131C211yesmaximal, characteristic, complemented
28#13124096C211yesmaximal, characteristic, complemented
29#13124054C211yesmaximal, characteristic, complemented
30#13123884C211yesmaximal, characteristic, complemented
31C13×#3487C211yesmaximal, characteristic, complemented
32C2×C13×2−1+4C2211yescharacteristic
33C22×C13×#41C2211yescharacteristic
34C13×#550—21no—
35C13×#550—21no—
36C13×#550C2211yescharacteristic
37C13×#550C2211yescharacteristic
38C13×#550C2211yescharacteristic
39C13×#550C2211yescharacteristic
40C13×#548—21no—
41C13×#548—21no—
42C13×#548C2211yescharacteristic
43C13×#548C2211yescharacteristic
44C13×#548C2211yescharacteristic
45C13×#548C2211yescharacteristic
46C13×#535—21no—
47C13×#535—21no—
48C13×#535C2211yescharacteristic
49C13×#535C2211yescharacteristic
50C13×#525—21no—
51C13×#525—21no—
52C13×#525C2211yescharacteristic
53C13×#525C2211yescharacteristic
54C13×#519C2211yescharacteristic
55#11719538C2211yescharacteristic
56#11719530C2211yescharacteristic
57C2×#88205C2211yescharacteristic
58C2×#88205C2211yescharacteristic
59C2×#88205C2211yescharacteristic, complemented
60C2×#88204C2211yescharacteristic
61C2×#88204C2211yescharacteristic
62C2×#88204C2211yescharacteristic, complemented
63C22×#6107C2211yescharacteristic, complemented
64C2×#88196C2211yescharacteristic, complemented
65#11719496C2211yescharacteristic
66C2×#88178C2211yescharacteristic
67#11719367—21no—
68#11719365—21no—
69#11719351—21no—
70#11719341—21no—
71#11719326—21no—
72#11719306—21no—
73#11719298—21no—
74#11719298—21no—
75#11719270C2211yescharacteristic, complemented
76#11719257C2211yescharacteristic, complemented
77#11719257C2211yescharacteristic, complemented
78#11719256C2211yescharacteristic, complemented
79#11719248C2211yescharacteristic, complemented
80#11719247C2211yescharacteristic, complemented
81#11719246C2211yescharacteristic, complemented
82D4×Dic26C2211yescharacteristic, complemented
83#11719239C2211yescharacteristic
84#11719223C2211yescharacteristic
85#11718900C2211yescharacteristic
86#11718900C2211yescharacteristic
87#11718900C2211yescharacteristic
88#11718900C2211yescharacteristic
89#11718900C2211yescharacteristic
90#11718900C2211yescharacteristic
91#11718900C2211yescharacteristic
92#11718900C2211yescharacteristic
93#11718900C2211yescharacteristic
94#11718900C2211yescharacteristic, complemented
95#11718900C2211yescharacteristic, complemented
96#11718900C2211yescharacteristic, complemented
97#11718899C2211yescharacteristic
98#11718899C2211yescharacteristic
99#11718899C2211yescharacteristic
100#11718899C2211yescharacteristic, complemented
101#11718895C2211yescharacteristic
102#11718895C2211yescharacteristic
103#11718894C2211yescharacteristic
104#11718894C2211yescharacteristic
105#11718894C2211yescharacteristic, complemented
106#11718893C2211yescharacteristic
107#11718893C2211yescharacteristic
108#11718893C2211yescharacteristic, complemented
109#11718889C2211yescharacteristic
110#11718889C2211yescharacteristic
111#11718889C2211yescharacteristic
112#11718889C2211yescharacteristic, complemented
113#11718889C2211yescharacteristic, complemented
114#11718889C2211yescharacteristic, complemented
115#11718888C2211yescharacteristic
116#11718888C2211yescharacteristic, complemented
117#11718886C2211yescharacteristic, complemented
118C2×#88075C2211yescharacteristic, complemented
119#11718879C2211yescharacteristic
120#11718879C2211yescharacteristic
121#11718879C2211yescharacteristic
122#11718878C2211yescharacteristic
123#11718868C2211yescharacteristic
124C2×C22⋊#1055C2211yescharacteristic
125#11718737C2211yescharacteristic, complemented
126#11718736C2211yescharacteristic, complemented
127#11718736C2211yescharacteristic, complemented
128#11718736C2211yescharacteristic, complemented
129#11718735C2211yescharacteristic, complemented
130#11718733C2211yescharacteristic, complemented
131#11718732C2211yescharacteristic, complemented
132#11718731C2211yescharacteristic, complemented
133#11718721C2211yescharacteristic, complemented
134#11718720C2211yescharacteristic, complemented
135#11718718C2211yescharacteristic, complemented
136#11718717C2211yescharacteristic, complemented
137#11718716C2211yescharacteristic, complemented
138#11718715C2211yescharacteristic, complemented
139#11718715C2211yescharacteristic, complemented
140#11718715C2211yescharacteristic, complemented
141#11718713C2211yescharacteristic, complemented
142#11718712C2211yescharacteristic, complemented
143#11718712C2211yescharacteristic, complemented
144#11718711C2211yescharacteristic, complemented
145#11718710C2211yescharacteristic, complemented
146#11718708C2211yescharacteristic, complemented
147#11718706C2211yescharacteristic, complemented
148#11718704C2211yescharacteristic, complemented
149#11718703C2211yescharacteristic, complemented
150#11718703C2211yescharacteristic, complemented
151#11718703C2211yescharacteristic, complemented
152#11718703C2211yescharacteristic, complemented
153#11718702C2211yescharacteristic, complemented
154#11718702C2211yescharacteristic, complemented
155#11718702C2211yescharacteristic, complemented
156#11718702C2211yescharacteristic, complemented
157#11718702C2211yescharacteristic, complemented
158#11718701C2211yescharacteristic, complemented
159#11718701C2211yescharacteristic, complemented
160#11718701C2211yescharacteristic, complemented
161#11718700C2211yescharacteristic, complemented
162#11718700C2211yescharacteristic, complemented
163#11718699C2211yescharacteristic, complemented
164#11718698C2211yescharacteristic, complemented
165#11718698C2211yescharacteristic, complemented
166#11718698C2211yescharacteristic, complemented
167#11718696C2211yescharacteristic, complemented
168#11718696C2211yescharacteristic, complemented
169#11718696C2211yescharacteristic, complemented
170#11718695C2211yescharacteristic, complemented
171#11718694C2211yescharacteristic, complemented
172#11718694C2211yescharacteristic, complemented
173#11718692C2211yescharacteristic, complemented
174#11718692C2211yescharacteristic, complemented
175#11718691C2211yescharacteristic, complemented
176#11718691C2211yescharacteristic, complemented
177#11718691C2211yescharacteristic, complemented
178C4×#6107C2211yescharacteristic, complemented
179C4×#6107C2211yescharacteristic, complemented
180C4×#6107C2211yescharacteristic, complemented
181#11718689C2211yescharacteristic, complemented
182#11718689C2211yescharacteristic, complemented
183#11718687C2211yescharacteristic, complemented
184C4×#6106C2211yescharacteristic, complemented
185#11718683C2211yescharacteristic, complemented
186#11718683C2211yescharacteristic, complemented
187#11718682C2211yescharacteristic, complemented
188#11718681C2211yescharacteristic, complemented
189#11718673C2211yescharacteristic, complemented
190#11718673C2211yescharacteristic, complemented
191#11718672C2211yescharacteristic, complemented
192#11718672C2211yescharacteristic, complemented
193#11718672C2211yescharacteristic, complemented
194#11718672C2211yescharacteristic, complemented
195D4×#1055C2211yescharacteristic, complemented
196D4×#1055C2211yescharacteristic, complemented
197#11718664C2211yescharacteristic
198#11718661C2211yescharacteristic
199#11718661C2211yescharacteristic
200#11718657C2211yescharacteristic
201#11718657C2211yescharacteristic
202#11718657C2211yescharacteristic
203C13×2−1+4—42no—
204C13×2−1+4—42no—
205C2×C13×#41—21no—
206C2×C13×#41—21no—
207C2×C13×#41—21no—
208C2×C13×#41—21no—
209C2×C13×#41—21no—
210C2×C13×#41—42no—
211C2×C13×#41—42no—
212C2×C13×#41C2311yescharacteristic
213C2×C13×#41C2311yescharacteristic
214C2×C13×#41C2311yescharacteristic
215C2×C13×#41C2311yescharacteristic
216C2×C13×#41C2311yescharacteristic
217C2×C13×#41C2311yescharacteristic
218C2×C13×#41C2311yescharacteristic
219C2×C13×#41C2311yescharacteristic
220C22×Q8×C13—21no—
221C22×Q8×C13C2311yescharacteristic
222C22×Q8×C13C2311yescharacteristic
223C22×Q8×C13C2311yescharacteristic
224C22×D4×C13—21no—
225C22×D4×C13C2311yescharacteristic
226C23×C4×C13—21no—
227C23×C4×C13C2311yescharacteristic
228C2×#6127C2311yescharacteristic
229C2×#6127C2311yescharacteristic
230C22×Dic26C2311yescharacteristic
231C22×Dic26C2311yescharacteristic
232C13×#127—21no—
233C13×#127—21no—
234C13×#127—21no—
235C13×#127—21no—
236C13×#127—21no—
237C13×#127C2311yescharacteristic
238C13×#127C2311yescharacteristic
239C13×#124—21no—
240C13×#124—21no—
241C13×#124—21no—
242C13×#124—21no—
243C13×#124—21no—
244C13×#124C2311yescharacteristic
245C13×#124C2311yescharacteristic
246C13×#123—21no—
247C13×#123D411yescharacteristic
248C13×#123D411yescharacteristic
249C13×C22⋊Q8—21no—
250C13×C22⋊Q8—21no—
251C13×C22⋊Q8—21no—
252C13×C22⋊Q8—21no—
253C13×C22⋊Q8D411yescharacteristic
254C13×C22⋊Q8D411yescharacteristic
255C13×C22⋊Q8C2311yescharacteristic
256C13×C22⋊Q8C2311yescharacteristic
257C13×#121—21no—
258C13×#121—21no—
259C13×#121—21no—
260C13×#121—21no—
261C13×#121—21no—
262C13×#121—21no—
263C13×#121—21no—
264C13×#121—21no—
265C13×#121—21no—
266C13×#121—21no—
267C13×#121—21no—
268C13×#121—21no—
269C13×#121—21no—
270C13×#121—21no—
271C13×#121D411yescharacteristic
272C13×#121D411yescharacteristic
273C13×#121C2311yescharacteristic
274C13×#121C2311yescharacteristic
275C13×#121C2311yescharacteristic
276C13×#121C2311yescharacteristic
277C13×#121C2311yescharacteristic
278C13×#121C2311yescharacteristic
279C13×#120—21no—
280C13×#120—21no—
281C13×#120—21no—
282C13×#120—21no—
283C13×#120—21no—
284C13×#120D411yescharacteristic
285C13×#120D411yescharacteristic
286C4×Q8×C13—21no—
287C4×Q8×C13—21no—
288C4×Q8×C13C2311yescharacteristic
289C4×Q8×C13C2311yescharacteristic
290C4×Q8×C13C2311yescharacteristic
291C4×Q8×C13C2311yescharacteristic
292C4×D4×C13—21no—
293C4×D4×C13—21no—
294C4×D4×C13—21no—
295C4×D4×C13—21no—
296C4×D4×C13—21no—
297C4×D4×C13—21no—
298C4×D4×C13—21no—
299C4×D4×C13—21no—
300C4×D4×C13—21no—
301C4×D4×C13—21no—
302C4×D4×C13C2311yescharacteristic
303C4×D4×C13C2311yescharacteristic
304C4×D4×C13C2311yescharacteristic
305C4×D4×C13C2311yescharacteristic
306C13×#117—21no—
307C13×#117—21no—
308C13×#117C2311yescharacteristic
309C13×#117C2311yescharacteristic
310#88207—21no—
311C2×C22⋊Dic13—21no—
312#88205—42no—
313#88205—42no—
314#88205—42no—
315#88204—42no—
316#88204—42no—
317#88204—42no—
318#88200—21no—
319#88198—21no—
320C2×#6107—42no—
321C2×#6107C2311yescharacteristic
322C2×#6107C2311yescharacteristic
323C2×#6107C2311yescharacteristic
324C2×#6107C2311yescharacteristic
325C2×#6107C2311yescharacteristic
326C2×#6107C2311yescharacteristic
327C2×#6107C2311yescharacteristic
328C2×#6107C2311yescharacteristic
329C2×#6107C2311yescharacteristic
330#88196—42no—
331C2×#6106C2311yescharacteristic
332C2×#6106C2311yescharacteristic
333C2×#6106C2311yescharacteristic
334#88193—21no—
335#88193—21no—
336#88193—21no—
337#88193—21no—
338#88193—21no—
339#88192—21no—
340#88192—21no—
341#88190—21no—
342#88190—21no—
343#88189—21no—
344#88189—21no—
345#88189—21no—
346D4×Dic13—21no—
347D4×Dic13—21no—
348C2×#6105C2311yescharacteristic
349C2×#6105C2311yescharacteristic
350C2×#6105C2311yescharacteristic
351C2×#6105C2311yescharacteristic
352C2×#6105C2311yescharacteristic
353C2×#6105C2311yescharacteristic
354C2×#6105C2311yescharacteristic
355C2×#6105C2311yescharacteristic
356C2×#6105C2311yescharacteristic
357C2×#6104C2311yescharacteristic
358C2×#6104C2311yescharacteristic
359C2×#6104C2311yescharacteristic
360#88184C2311yescharacteristic
361#88184C2311yescharacteristic
362#88184C2311yescharacteristic
363#88183—21no—
364C4×C22⋊D13—21no—
365C4×C22⋊D13—21no—
366#88180C2311yescharacteristic
367#88180C2311yescharacteristic
368C2×C4⋊Dic13C2311yescharacteristic
369C2×C4⋊Dic13C2311yescharacteristic
370#88178—21no—
371#88178—21no—
372#88178C2311yescharacteristic
373#88178C2311yescharacteristic
374#88178C2311yescharacteristic
375#88178C2311yescharacteristic
376#88178C2311yescharacteristic
377#88178C2311yescharacteristic
378#88178C2311yescharacteristic
379#88178C2311yescharacteristic
380#88178C2311yescharacteristic
381C2×#6101—21no—
382C2×#6099C2311yescharacteristic
383C2×#6099C2311yescharacteristic
384C2×#6099C2311yescharacteristic
385C2×#6099C2311yescharacteristic
386C22×#1055C2311yescharacteristic
387C22×#1055C2311yescharacteristic
388C22×#1055C2311yescharacteristic
389C22×#1055C2311yescharacteristic
390#88152—21no—
391#88152—21no—
392#88150—21no—
393#88150—21no—
394#88150—21no—
395C4⋊C4×D13—21no—
396#88144—21no—
397#88143—21no—
398#88143—21no—
399#88143—21no—
400#88142—21no—
401#88141—21no—
402#88139—21no—
403#88139—21no—
404#88139—21no—
405#88137—21no—
406#88137—21no—
407#88137—21no—
408#88137—21no—
409#88135—21no—
410#88135—21no—
411#88135—21no—
412#88133—21no—
413#88133—21no—
414#88133—21no—
415#88133—21no—
416#88133—21no—
417#88132—21no—
418#88132—21no—
419#88132—21no—
420#88132—21no—
421#88131—21no—
422#88129C2311yescharacteristic
423C4×D52C2311yescharacteristic
424#88124C2311yescharacteristic
425#88123C2311yescharacteristic
426#88123C2311yescharacteristic
427C4×Dic26C2311yescharacteristic
428C4×Dic26C2311yescharacteristic
429C4×Dic26C2311yescharacteristic
430#88075C2311yescharacteristic
431#88075C2311yescharacteristic
432#88075C2311yescharacteristic
433#88075C2311yescharacteristic
434#88075C2311yescharacteristic
435#88075C2311yescharacteristic
436#88075C2311yescharacteristic
437#88075C2311yescharacteristic
438#88075C2311yescharacteristic
439#88075C2311yescharacteristic
440#88075C2311yescharacteristic
441#88075C2311yescharacteristic
442#88072C2311yescharacteristic
443#88072C2311yescharacteristic
444#88072C2311yescharacteristic
445#88072C2311yescharacteristic
446#88072C2311yescharacteristic
447#88072C2311yescharacteristic
448#88072C2311yescharacteristic
449#88072C2311yescharacteristic
450#88072C2311yescharacteristic
451#88072C2311yescharacteristic
452#88072C2311yescharacteristic
453#88072C2311yescharacteristic
454C22⋊#1055C2311yescharacteristic
455C22⋊#1055C2311yescharacteristic
456C22⋊#1055C2311yescharacteristic
457C22⋊#1055C2311yescharacteristic
458C22⋊#1055C2311yescharacteristic
459C22⋊#1055C2311yescharacteristic
460C22⋊#1055C2311yescharacteristic
461C22⋊#1055C2311yescharacteristic
462C22⋊#1055C2311yescharacteristic
463C22⋊#1055C2311yescharacteristic
464C22⋊#1055C2311yescharacteristic
465C22⋊#1055C2311yescharacteristic
466#88050C2311yescharacteristic
467#88050C2311yescharacteristic
468#88050C2311yescharacteristic
469#88050C2311yescharacteristic
470#88050C2311yescharacteristic
471#88050C2311yescharacteristic
472#88049C2311yescharacteristic
473#88049C2311yescharacteristic
474#88048C2311yescharacteristic
475#88048C2311yescharacteristic
476#88048C2311yescharacteristic
477#88048C2311yescharacteristic
478#88047C2311yescharacteristic
479#88047C2311yescharacteristic
480#88047C2311yescharacteristic
481#88047C2311yescharacteristic
482C4⋊#1055C2311yescharacteristic
483C4⋊#1055C2311yescharacteristic
484C4⋊#1055C2311yescharacteristic
485C4⋊#1055C2311yescharacteristic
486#88043C2311yescharacteristic
487#88043C2311yescharacteristic
488C4×#1055C2311yescharacteristic
489C4×#1055C2311yescharacteristic
490#61615—131nomaximal, Sylow
491C24×C13—21no—
492C24×C13C2×D411yescharacteristic
493C13×#41—22no—
494C13×#41—22no—
495C13×#41—22no—
496C13×#41—22no—
497C13×#41—22no—
498C13×#41—22no—
499C13×#41—41no—
500C13×#41—41no—
501C13×#41—41no—
502C13×#41—41no—
503C13×#41—41no—
504C13×#41—41no—
505C13×#41—41no—
506C13×#41—41no—
507C13×#41—41no—
508C13×#41—41no—
509C13×#41—44no—
510C13×#41—44no—
511C13×#41—44no—
512C13×#41—44no—
513C13×#41—44no—
514C2×Q8×C13—22no—
515C2×Q8×C13—22no—
516C2×Q8×C13—21no—
517C2×Q8×C13—21no—
518C2×Q8×C13—21no—
519C2×Q8×C13—22no—
520C2×Q8×C13—22no—
521C2×Q8×C13—41no—
522C2×Q8×C13—41no—
523C2×Q8×C13—44no—
524C2×Q8×C13C2×D411yescharacteristic
525C2×Q8×C13C2411yescharacteristic
526C2×Q8×C13C2411yescharacteristic
527C2×Q8×C13C2411yescharacteristic
528C2×D4×C13—21no—
529C2×D4×C13—21no—
530C2×D4×C13—21no—
531C2×D4×C13—21no—
532C2×D4×C13—21no—
533C2×D4×C13—21no—
534C2×D4×C13—21no—
535C2×D4×C13—21no—
536C2×D4×C13—21no—
537C2×D4×C13—21no—
538C2×D4×C13—21no—
539C2×D4×C13—21no—
540C2×D4×C13—21no—
541C2×D4×C13—21no—
542C2×D4×C13—21no—
543C2×D4×C13—21no—
544C2×D4×C13—21no—
545C2×D4×C13—21no—
546C2×D4×C13—41no—
547C2×D4×C13—41no—
548C2×D4×C13—44no—
549C2×D4×C13C2×D411yescharacteristic
550C2×D4×C13C2×D411yescharacteristic
551C2×D4×C13C2×D411yescharacteristic
552C2×D4×C13C2×D411yescharacteristic
553C2×D4×C13C2×D411yescharacteristic
554C2×D4×C13C2×D411yescharacteristic
555C2×D4×C13C2×D411yescharacteristic
556C2×D4×C13C2411yescharacteristic
557C2×D4×C13C2411yescharacteristic
558C2×D4×C13C2411yescharacteristic
559C22×C4×C13—21no—
560C22×C4×C13—21no—
561C22×C4×C13—21no—
562C22×C4×C13—21no—
563C22×C4×C13—21no—
564C22×C4×C13—21no—
565C22×C4×C13—21no—
566C22×C4×C13—21no—
567C22×C4×C13—21no—
568C22×C4×C13—21no—
569C22×C4×C13—41no—
570C22×C4×C13—41no—
571C22×C4×C13—44no—
572C22×C4×C13C2×D411yescharacteristic
573C22×C4×C13C2×D411yescharacteristic
574C22×C4×C13C2×D411yescharacteristic
575C22×C4×C13C2411yescharacteristic
576C22×C4×C13C2411yescharacteristic
577C22×C4×C13C2411yescharacteristic
578C22×C4×C13C2411yescharacteristic
579C22×C4×C13C2411yescharacteristic
580C2×C22⋊D13—21no—
581C2×C22⋊D13—21no—
582C2×C22⋊D13—21no—
583C2×C22⋊D13—21no—
584C2×C22⋊D13—21no—
585C22×Dic13—21no—
586C22×Dic13—21no—
587C22×Dic13—21no—
588C22×Dic13—21no—
589#6127—41no—
590#6127—41no—
591#6127—41no—
592#6127—41no—
593C2×D52C2411yescharacteristic
594C2×C4×D13—21no—
595C2×C4×D13—21no—
596C2×C4×D13—21no—
597C2×Dic26—21no—
598C2×Dic26—21no—
599C2×Dic26—21no—
600C2×Dic26—41no—
601C2×Dic26—41no—
602C2×Dic26—41no—
603C2×Dic26—41no—
604C2×Dic26C2411yescharacteristic
605C2×Dic26C2411yescharacteristic
606C2×Dic26C2411yescharacteristic
607C13×C4⋊C4—21no—
608C13×C4⋊C4—21no—
609C13×C4⋊C4—21no—
610C13×C4⋊C4—21no—
611C13×C4⋊C4—21no—
612C13×C4⋊C4—21no—
613C13×C4⋊C4C2×D411yescharacteristic
614C13×C4⋊C4C2×D411yescharacteristic
615C13×C4⋊C4C2×D411yescharacteristic
616C13×C4⋊C4C2×D411yescharacteristic
617C13×C4⋊C4C2×D411yescharacteristic
618C13×C4⋊C4C2×D411yescharacteristic
619C13×C4⋊C4C2411yescharacteristic
620C13×C4⋊C4C2411yescharacteristic
621C13×C22⋊C4—21no—
622C13×C22⋊C4—21no—
623C13×C22⋊C4—21no—
624C13×C22⋊C4—21no—
625C13×C22⋊C4—21no—
626C13×C22⋊C4—21no—
627C13×C22⋊C4—21no—
628C13×C22⋊C4—21no—
629C13×C22⋊C4—21no—
630C13×C22⋊C4—21no—
631C13×C22⋊C4—21no—
632C13×C22⋊C4—21no—
633C13×C22⋊C4—21no—
634C13×C22⋊C4C2×D411yescharacteristic
635C13×C22⋊C4C2×D411yescharacteristic
636C13×C22⋊C4C2×D411yescharacteristic
637C13×C22⋊C4C2×D411yescharacteristic
638C13×C22⋊C4C2×D411yescharacteristic
639C13×C22⋊C4C2×D411yescharacteristic
640C13×C22⋊C4C2×D411yescharacteristic
641C13×C22⋊C4C2×D411yescharacteristic
642C13×C22⋊C4C2×D411yescharacteristic
643C13×C22⋊C4C2×D411yescharacteristic
644C42×C13—21no—
645C42×C13—21no—
646C42×C13—21no—
647C42×C13—21no—
648C42×C13—21no—
649C42×C13C2411yescharacteristic
650C42×C13C2411yescharacteristic
651C22⋊Dic13—21no—
652C22⋊Dic13—21no—
653C22⋊Dic13—21no—
654C22⋊Dic13—21no—
655C22⋊Dic13—21no—
656C22⋊Dic13—21no—
657C22⋊Dic13—21no—
658C22⋊Dic13—21no—
659C22⋊Dic13—21no—
660C22⋊Dic13—21no—
661C22⋊Dic13—21no—
662#6107—22no—
663#6107—22no—
664#6107—22no—
665#6107—22no—
666#6107—22no—
667#6107—22no—
668#6107—41no—
669#6107—41no—
670#6107—41no—
671#6106—22no—
672#6106—22no—
673#6106—41no—
674#6105—41no—
675#6105—41no—
676#6105—41no—
677#6105—41no—
678#6105—41no—
679#6105—41no—
680#6105—41no—
681#6105—41no—
682#6105—41no—
683#6104—41no—
684#6104—41no—
685#6104—41no—
686#6103—21no—
687#6103—21no—
688#6103—21no—
689#6103—21no—
690#6103—21no—
691#6103—21no—
692C4⋊Dic13—21no—
693C4⋊Dic13—21no—
694C4⋊Dic13—21no—
695C4⋊Dic13—21no—
696C4⋊Dic13—21no—
697C4⋊Dic13C2411yescharacteristic
698C4⋊Dic13C2411yescharacteristic
699C4⋊Dic13C2411yescharacteristic
700C4⋊Dic13C2411yescharacteristic
701#6101—21no—
702#6101—21no—
703#6101—21no—
704#6101—21no—
705#6101—21no—
706#6101—21no—
707#6101—21no—
708#6101—21no—
709#6101—21no—
710#6101—21no—
711#6101—21no—
712#6101—21no—
713#6101—21no—
714#6101—21no—
715C4×Dic13—21no—
716C4×Dic13—21no—
717C4×Dic13—21no—
718C4×Dic13—21no—
719C4×Dic13—21no—
720#6099—41no—
721#6099—41no—
722#6099—41no—
723#6099—41no—
724C2×#1055—41no—
725C2×#1055—41no—
726C2×#1055—41no—
727C2×#1055—41no—
728C2×#1055C2411yescharacteristic
729C2×#1055C2411yescharacteristic
730C2×#1055C2411yescharacteristic
731C2×#1055C2411yescharacteristic
732C2×#1055C2411yescharacteristic
733C2×#1055C2411yescharacteristic
734C2×#1055C2411yescharacteristic
735C2×#1055C2411yescharacteristic
736#3541—131no—
737#3487D1311yescharacteristic, complemented
738#3333—131no—
739#3326—131no—
740#3317—131no—
741#3316—131no—
742#3313—131no—
743#3309—131no—
744#3304—131no—
745#3300—131no—
746#3285—131no—
747#3284—131no—
748#3278—131no—
749#3277—131no—
750#3271—131no—
751#3271—131no—
752#3270—131no—
753#3269—131no—
754#3224—131no—
755#3222—131no—
756#3200—131no—
757#3198—131no—
758#3197—131no—
759#3190—131no—
760#3127—131no—
761#3121—131no—
762#3013—131no—
763#3011—131no—
764#3007—131no—
765#3002—131no—
766#2976—131no—
767C23×C13—21no—
768C23×C13—21no—
769C23×C13—21no—
770C23×C13—41no—
771C23×C13—41no—
772C23×C13—41no—
773C23×C13—42no—
774C23×C13—81no—
775C23×C13—81no—
776C23×C13C22×D411yescharacteristic
777C23×C13C22×D411yescharacteristic
778C23×C13C22×D411yescharacteristic
779C23×C13C22×D411yescharacteristic
780C23×C13C22×D411yescharacteristic
781C22×D13—21no—
782Q8×C13—24no—
783Q8×C13—21no—
784Q8×C13—21no—
785Q8×C13—21no—
786Q8×C13—21no—
787Q8×C13—41no—
788Q8×C13—42no—
789Q8×C13—42no—
790Q8×C13H(5,𝔽2)12yes—
791Q8×C13H(5,𝔽2)12yes—
792D4×C13—21no—
793D4×C13—21no—
794D4×C13—21no—
795D4×C13—21no—
796D4×C13—21no—
797D4×C13—21no—
798D4×C13—41no—
799D4×C13—41no—
800D4×C13—41no—
801D4×C13—41no—
802D4×C13—41no—
803D4×C13—41no—
804D4×C13—41no—
805D4×C13—42no—
806D4×C13—42no—
807D4×C13—42no—
808D4×C13—42no—
809D4×C13—42no—
810D4×C13—42no—
811D4×C13—42no—
812D4×C13—42no—
813D4×C13—81no—
814D4×C13—81no—
815D4×C13—81no—
816D4×C13—81no—
817D4×C13—81no—
818D4×C13—81no—
819D4×C13—81no—
820D4×C13—81no—
821D4×C13—81no—
822D4×C13—81no—
823C2×C4×C13—24no—
824C2×C4×C13—21no—
825C2×C4×C13—21no—
826C2×C4×C13—21no—
827C2×C4×C13—21no—
828C2×C4×C13—21no—
829C2×C4×C13—21no—
830C2×C4×C13—21no—
831C2×C4×C13—21no—
832C2×C4×C13—21no—
833C2×C4×C13—21no—
834C2×C4×C13—21no—
835C2×C4×C13—21no—
836C2×C4×C13—21no—
837C2×C4×C13—21no—
838C2×C4×C13—21no—
839C2×C4×C13—41no—
840C2×C4×C13—41no—
841C2×C4×C13—41no—
842C2×C4×C13—42no—
843C2×C4×C13—42no—
844C2×C4×C13—42no—
845C2×C4×C13—42no—
846C2×C4×C13—42no—
847C2×C4×C13—42no—
848C2×C4×C13—42no—
849C2×C4×C13—42no—
850C2×C4×C13—42no—
851C2×C4×C13C22×D411yescharacteristic
852C2×C4×C13C22×D411yescharacteristic
853C2×C4×C13C22×D411yescharacteristic
854C2×C4×C13C22×D411yescharacteristic
855C2×C4×C13C22×D411yescharacteristic
856C2×C4×C13C22×D411yescharacteristic
857C2×C4×C13C22×D411yescharacteristic
858C2×C4×C13C22×D411yescharacteristic
859C2×C4×C13C22×D411yescharacteristic
860C2×C4×C13C2511yescharacteristic
861C22⋊D13—42no—
862C22⋊D13—81no—
863C22⋊D13—81no—
864C22⋊D13—81no—
865C22⋊D13—81no—
866C2×Dic13—21no—
867C2×Dic13—21no—
868C2×Dic13—21no—
869C2×Dic13—21no—
870C2×Dic13—21no—
871C2×Dic13—21no—
872C2×Dic13—21no—
873C2×Dic13—81no—
874C2×Dic13—81no—
875C2×Dic13—81no—
876C2×Dic13—81no—
877D52—21no—
878D52—21no—
879C4×D13—81no—
880C4×D13—81no—
881C4×D13—81no—
882Dic26—21no—
883Dic26—21no—
884Dic26—21no—
885Dic26—21no—
886Dic26—21no—
887Dic26—21no—
888Dic26—81no—
889Dic26—81no—
890Dic26—81no—
891#1055—21no—
892#1055—21no—
893#1055—21no—
894#1055—21no—
895#1055—21no—
896#1055—21no—
897#1055—21no—
898#1055—21no—
899C2×2−1+4C2×D1311yescharacteristic
900C22×#41C2×D1311yescharacteristic
901C2×#137—131no—
902C2×#137—131no—
903C2×#137—131no—
904C2×#137—131no—
905C2×#135—131no—
906C2×#135—131no—
907C2×#135—131no—
908C22×Q16—131no—
909#563—261no—
910#562—261no—
911#556—131no—
912#554—131no—
913#554—261no—
914#553—131no—
915#553—261no—
916#552—131no—
917#550—21no—
918#550—21no—
919#550C2×D1311yescharacteristic
920#550C2×D1311yescharacteristic
921#550C2×D1311yescharacteristic
922#550C2×D1311yescharacteristic
923D4×Q8—131no—
924#548—21no—
925#548—21no—
926#548—131no—
927#548—131no—
928#548C2×D1311yescharacteristic
929#548C2×D1311yescharacteristic
930#548C2×D1311yescharacteristic
931#548C2×D1311yescharacteristic
932#547—131no—
933#542—131no—
934#542—261no—
935#541—131no—
936#539—261no—
937#538—261no—
938#538—261no—
939#537—131no—
940#536—131no—
941#535—21no—
942#535—21no—
943#535C2×D1311yescharacteristic
944#535C2×D1311yescharacteristic
945#525—21no—
946#525—21no—
947#525—131no—
948#525C2×D1311yescharacteristic
949#525C2×D1311yescharacteristic
950C2×C22⋊Q8—131no—
951#519C2×D1311yescharacteristic
952#497—131no—
953#496—131no—
954#495—131no—
955#492—131no—
956#490—131no—
957#489—131no—
958#488—131no—
959#486—131no—
960#485—131no—
961#485—131no—
962#485—131no—
963#485—131no—
964#483—131no—
965#482—131no—
966#482—131no—
967#482—131no—
968#482—131no—
969#481—131no—
970#480—131no—
971#480—131no—
972#479—131no—
973#479—131no—
974#477—131no—
975#475—131no—
976#470—131no—
977#469—131no—
978#469—131no—
979#468—131no—
980#468—131no—
981#468—131no—
982#468—131no—
983#468—131no—
984#467—131no—
985#467—131no—
986#466—131no—
987#465—131no—
988#465—131no—
989#465—131no—
990#465—131no—
991#465—131no—
992#464—131no—
993#464—131no—
994#464—131no—
995#464—131no—
996#464—131no—
997#463—131no—
998#462—131no—
999#462—131no—
1000#460—131no—
1001#460—131no—
1002#460—131no—
1003#459—131no—
1004#452—131no—
1005#452—131no—
1006#452—131no—
1007#452—131no—
1008#452—131no—
1009#452—131no—
1010#452—131no—
1011#452—131no—
1012#452—131no—
1013#452—131no—
1014#452—131no—
1015#452—131no—
1016#452—131no—
1017#451—131no—
1018#451—131no—
1019#451—131no—
1020#451—131no—
1021#451—131no—
1022#451—131no—
1023#451—131no—
1024#450—131no—
1025#450—131no—
1026#450—131no—
1027#449—131no—
1028#449—131no—
1029#449—131no—
1030#449—131no—
1031#449—131no—
1032#449—131no—
1033#449—131no—
1034#448—131no—
1035#448—131no—
1036#448—131no—
1037#448—131no—
1038#448—131no—
1039#447—131no—
1040#441—131no—
1041#441—131no—
1042#441—131no—
1043#440—131no—
1044C4×Q16—131no—
1045C4×Q16—131no—
1046C4×Q16—131no—
1047C4×SD16—131no—
1048#436—131no—
1049#436—131no—
1050#435—131no—
1051#435—131no—
1052#435—131no—
1053#435—131no—
1054C8×D4—131no—
1055C8×D4—131no—
1056#433—131no—
1057#433—131no—
1058#419—131no—
1059#417—131no—
1060#417—131no—
1061#417—131no—
1062#416—131no—
1063#416—131no—
1064#416—131no—
1065C2×#103—131no—
1066#408—131no—
1067#408—131no—
1068#407—131no—
1069C2×C22⋊C8—131no—
1070C22×C13—21no—
1071C22×C13—21no—
1072C22×C13—21no—
1073C22×C13—21no—
1074C22×C13—21no—
1075C22×C13—21no—
1076C22×C13—21no—
1077C22×C13—21no—
1078C22×C13—21no—
1079C22×C13—21no—
1080C22×C13—21no—
1081C22×C13—21no—
1082C22×C13—21no—
1083C22×C13—21no—
1084C22×C13—21no—
1085C22×C13—41no—
1086C22×C13—41no—
1087C22×C13—41no—
1088C22×C13—41no—
1089C22×C13—41no—
1090C22×C13—41no—
1091C22×C13—41no—
1092C22×C13—41no—
1093C22×C13—41no—
1094C22×C13—82no—
1095C22×C13—84no—
1096C22×C13C23×D411yescharacteristic
1097C2×D13—41no—
1098C2×D13—41no—
1099C2×D13—41no—
1100C4×C13—21no—
1101C4×C13—21no—
1102C4×C13—21no—
1103C4×C13—21no—
1104C4×C13—21no—
1105C4×C13—21no—
1106C4×C13—21no—
1107C4×C13—21no—
1108C4×C13—22no—
1109C4×C13—22no—
1110C4×C13—21no—
1111C4×C13—41no—
1112C4×C13—41no—
1113C4×C13—41no—
1114C4×C13C2×H(5,𝔽2)11yescharacteristic
1115C4×C13C2×H(5,𝔽2)11yescharacteristic
1116Dic13—41no—
1117Dic13—41no—
1118Dic13—41no—
1119Dic13—41no—
1120Dic13—41no—
1121Dic13—41no—
1122Dic13—41no—
11232−1+4—42no—
11242−1+4—42no—
1125C2×#41—21no—
1126C2×#41—21no—
1127C2×#41—21no—
1128C2×#41—21no—
1129C2×#41—21no—
1130C2×#41—42no—
1131C2×#41—42no—
1132C2×#41—131no—
1133C2×#41—131no—
1134C2×#41C22×D1311yescharacteristic
1135C2×#41C22×D1311yescharacteristic
1136C2×#41C22×D1311yescharacteristic
1137C2×#41C22×D1311yescharacteristic
1138C2×#41C22×D1311yescharacteristic
1139C2×#41C22×D1311yescharacteristic
1140C2×#41C22×D1311yescharacteristic
1141C2×#41C22×D1311yescharacteristic
1142C22×Q8—21no—
1143C22×Q8—131no—
1144C22×Q8—131no—
1145C22×Q8C22×D1311yescharacteristic
1146C22×Q8C22×D1311yescharacteristic
1147C22×Q8C22×D1311yescharacteristic
1148C22×D4—21no—
1149C22×D4C22×D1311yescharacteristic
1150C23×C4—21no—
1151C23×C4C22×D1311yescharacteristic
1152#137—522no—
1153#137—522no—
1154#137—522no—
1155#137—522no—
1156#135—522no—
1157#135—522no—
1158#135—522no—
1159C2×Q16—131no—
1160C2×Q16—131no—
1161C2×Q16—131no—
1162C2×Q16—131no—
1163C2×Q16—131no—
1164C2×Q16—131no—
1165C2×Q16—131no—
1166C2×Q16—131no—
1167C2×Q16—131no—
1168C2×Q16—522no—
1169C2×SD16—131no—
1170C2×SD16—131no—
1171C2×SD16—131no—
1172C2×SD16—131no—
1173C2×SD16—131no—
1174C2×SD16—131no—
1175C2×SD16—131no—
1176C2×SD16—131no—
1177C2×SD16—131no—
1178C2×SD16—131no—
1179C2×SD16—131no—
1180C2×SD16—131no—
1181C2×D8—131no—
1182C2×D8—131no—
1183C2×D8—131no—
1184C2×M16—131no—
1185C2×M16—131no—
1186C2×M16—131no—
1187C2×M16—131no—
1188C22×C8—131no—
1189C22×C8—131no—
1190C22×C8—131no—
1191C22×C8—131no—
1192C4⋊Q8—131no—
1193C4⋊Q8—131no—
1194C4⋊Q8—261no—
1195C4⋊Q8—261no—
1196#127—21no—
1197#127—21no—
1198#127—21no—
1199#127—21no—
1200#127—21no—
1201#127C22×D1311yescharacteristic
1202#127C22×D1311yescharacteristic
1203#126—261no—
1204#126—261no—
1205#126—261no—
1206#126—261no—
1207#126—261no—
1208#126—261no—
1209#126—261no—
1210#125—131no—
1211#125—261no—
1212#125—261no—
1213#125—261no—
1214#125—261no—
1215#124—21no—
1216#124—21no—
1217#124—21no—
1218#124—21no—
1219#124—21no—
1220#124—131no—
1221#124—261no—
1222#124—261no—
1223#124—261no—
1224#124—261no—
1225#124—261no—
1226#124C22×D1311yescharacteristic
1227#124C22×D1311yescharacteristic
1228#123—21no—
1229#123—261no—
1230#123—261no—
1231#123—261no—
1232#123—261no—
1233#123—261no—
1234#123—261no—
1235#123—261no—
1236#123—261no—
1237#123C22⋊D1311yescharacteristic
1238#123C22⋊D1311yescharacteristic
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—21no—
1243C22⋊Q8—131no—
1244C22⋊Q8—131no—
1245C22⋊Q8—131no—
1246C22⋊Q8—131no—
1247C22⋊Q8—131no—
1248C22⋊Q8—131no—
1249C22⋊Q8—131no—
1250C22⋊Q8—131no—
1251C22⋊Q8—131no—
1252C22⋊Q8—261no—
1253C22⋊Q8—261no—
1254C22⋊Q8—261no—
1255C22⋊Q8—261no—
1256C22⋊Q8—261no—
1257C22⋊Q8—261no—
1258C22⋊Q8—261no—
1259C22⋊Q8—261no—
1260C22⋊Q8—261no—
1261C22⋊Q8—261no—
1262C22⋊Q8C22⋊D1311yescharacteristic
1263C22⋊Q8C22⋊D1311yescharacteristic
1264C22⋊Q8C22×D1311yescharacteristic
1265C22⋊Q8C22×D1311yescharacteristic
1266#121—21no—
1267#121—21no—
1268#121—21no—
1269#121—21no—
1270#121—21no—
1271#121—21no—
1272#121—21no—
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—21no—
1279#121—21no—
1280#121—131no—
1281#121—131no—
1282#121—131no—
1283#121—261no—
1284#121—261no—
1285#121—261no—
1286#121—261no—
1287#121—261no—
1288#121—261no—
1289#121—261no—
1290#121C22⋊D1311yescharacteristic
1291#121C22⋊D1311yescharacteristic
1292#121C22×D1311yescharacteristic
1293#121C22×D1311yescharacteristic
1294#121C22×D1311yescharacteristic
1295#121C22×D1311yescharacteristic
1296#121C22×D1311yescharacteristic
1297#121C22×D1311yescharacteristic
1298#120—21no—
1299#120—21no—
1300#120—21no—
1301#120—21no—
1302#120—21no—
1303#120—261no—
1304#120C22⋊D1311yescharacteristic
1305#120C22⋊D1311yescharacteristic
1306C4×Q8—21no—
1307C4×Q8—21no—
1308C4×Q8—131no—
1309C4×Q8—131no—
1310C4×Q8—131no—
1311C4×Q8—261no—
1312C4×Q8C22×D1311yescharacteristic
1313C4×Q8C22×D1311yescharacteristic
1314C4×Q8C22×D1311yescharacteristic
1315C4×Q8C22×D1311yescharacteristic
1316C4×D4—21no—
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—131no—
1327C4×D4—261no—
1328C4×D4—261no—
1329C4×D4—261no—
1330C4×D4—261no—
1331C4×D4—261no—
1332C4×D4—261no—
1333C4×D4—261no—
1334C4×D4C22×D1311yescharacteristic
1335C4×D4C22×D1311yescharacteristic
1336C4×D4C22×D1311yescharacteristic
1337C4×D4C22×D1311yescharacteristic
1338#117—21no—
1339#117—21no—
1340#117—131no—
1341#117—131no—
1342#117—261no—
1343#117C22×D1311yescharacteristic
1344#117C22×D1311yescharacteristic
1345C2×C4⋊C4—131no—
1346C2×C4⋊C4—131no—
1347C2×C4⋊C4—261no—
1348C2×C4⋊C4—261no—
1349C2×C22⋊C4—261no—
1350#107—131no—
1351#107—131no—
1352#107—131no—
1353#107—131no—
1354#106—131no—
1355#106—131no—
1356#106—131no—
1357#106—131no—
1358C4⋊C8—131no—
1359C4⋊C8—131no—
1360C4⋊C8—131no—
1361C4⋊C8—131no—
1362#103—131no—
1363#103—131no—
1364#103—131no—
1365#103—131no—
1366#103—131no—
1367#103—131no—
1368#103—131no—
1369#103—131no—
1370#103—131no—
1371#103—131no—
1372#103—131no—
1373#103—131no—
1374#103—131no—
1375#103—131no—
1376#103—131no—
1377#103—131no—
1378#103—131no—
1379#103—131no—
1380#102—131no—
1381#102—131no—
1382#102—131no—
1383#102—131no—
1384#102—131no—
1385#102—131no—
1386#102—131no—
1387#102—131no—
1388#102—131no—
1389#102—131no—
1390#102—131no—
1391#102—131no—
1392#102—131no—
1393#102—131no—
1394C22⋊C8—131no—
1395C22⋊C8—131no—
1396C22⋊C8—131no—
1397C22⋊C8—131no—
1398C22⋊C8—131no—
1399C22⋊C8—131no—
1400C22⋊C8—131no—
1401C22⋊C8—131no—
1402C22⋊C8—131no—
1403C22⋊C8—131no—
1404C22⋊C8—131no—
1405C22⋊C8—131no—
1406#97—131no—
1407#97—131no—
1408C4×C8—131no—
1409C4×C8—131no—
1410C2×C13—41no—
1411C2×C13—41no—
1412C2×C13—41no—
1413C2×C13—41no—
1414C2×C13—41no—
1415C2×C13—81no—
1416C2×C13—81no—
1417C2×C13—81no—
1418C2×C13#348411yescharacteristic
1419C2×C13#358411yescharacteristic
1420C2×C13#358611yescharacteristic
1421D13—81no—
1422C24—21no—
1423C24C2×C22⋊D1311yescharacteristic
1424#41—22no—
1425#41—22no—
1426#41—22no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—44no—
1441#41—44no—
1442#41—44no—
1443#41—44no—
1444#41—44no—
1445#41—521no—
1446#41—521no—
1447#41—521no—
1448#41—521no—
1449C2×Q8—22no—
1450C2×Q8—22no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—22no—
1455C2×Q8—22no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—44no—
1459C2×Q8—131no—
1460C2×Q8—131no—
1461C2×Q8—131no—
1462C2×Q8—261no—
1463C2×Q8—261no—
1464C2×Q8—261no—
1465C2×Q8—521no—
1466C2×Q8—521no—
1467C2×Q8—521no—
1468C2×Q8—521no—
1469C2×Q8C2×C22⋊D1311yescharacteristic
1470C2×Q8C23×D1311yescharacteristic
1471C2×Q8C23×D1311yescharacteristic
1472C2×Q8C23×D1311yescharacteristic
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—41no—
1492C2×D4—41no—
1493C2×D4—44no—
1494C2×D4—131no—
1495C2×D4—261no—
1496C2×D4—261no—
1497C2×D4—261no—
1498C2×D4—261no—
1499C2×D4—261no—
1500C2×D4C2×C22⋊D1311yescharacteristic
1501C2×D4C2×C22⋊D1311yescharacteristic
1502C2×D4C2×C22⋊D1311yescharacteristic
1503C2×D4C2×C22⋊D1311yescharacteristic
1504C2×D4C2×C22⋊D1311yescharacteristic
1505C2×D4C2×C22⋊D1311yescharacteristic
1506C2×D4C2×C22⋊D1311yescharacteristic
1507C2×D4C23×D1311yescharacteristic
1508C2×D4C23×D1311yescharacteristic
1509C2×D4C23×D1311yescharacteristic
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—41no—
1521C22×C4—41no—
1522C22×C4—44no—
1523C22×C4—261no—
1524C22×C4—261no—
1525C22×C4—261no—
1526C22×C4—261no—
1527C22×C4—261no—
1528C22×C4—261no—
1529C22×C4—261no—
1530C22×C4C2×C22⋊D1311yescharacteristic
1531C22×C4C2×C22⋊D1311yescharacteristic
1532C22×C4C2×C22⋊D1311yescharacteristic
1533C22×C4C23×D1311yescharacteristic
1534C22×C4C23×D1311yescharacteristic
1535C22×C4C23×D1311yescharacteristic
1536C22×C4C23×D1311yescharacteristic
1537C22×C4C23×D1311yescharacteristic
1538Q16—262no—
1539Q16—262no—
1540Q16—262no—
1541Q16—262no—
1542Q16—262no—
1543Q16—262no—
1544Q16—521no—
1545Q16—521no—
1546Q16—521no—
1547SD16—262no—
1548SD16—262no—
1549SD16—521no—
1550SD16—521no—
1551SD16—521no—
1552SD16—521no—
1553SD16—521no—
1554SD16—521no—
1555SD16—521no—
1556SD16—521no—
1557SD16—521no—
1558SD16—521no—
1559D8—521no—
1560D8—521no—
1561D8—521no—
1562M16—521no—
1563M16—521no—
1564M16—521no—
1565M16—521no—
1566C2×C8—131no—
1567C2×C8—131no—
1568C2×C8—131no—
1569C2×C8—131no—
1570C2×C8—131no—
1571C2×C8—131no—
1572C2×C8—131no—
1573C2×C8—131no—
1574C2×C8—521no—
1575C2×C8—521no—
1576C2×C8—521no—
1577C2×C8—521no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—131no—
1585C4⋊C4—131no—
1586C4⋊C4—131no—
1587C4⋊C4—131no—
1588C4⋊C4—261no—
1589C4⋊C4—261no—
1590C4⋊C4—261no—
1591C4⋊C4—261no—
1592C4⋊C4—261no—
1593C4⋊C4—261no—
1594C4⋊C4—261no—
1595C4⋊C4—261no—
1596C4⋊C4—261no—
1597C4⋊C4—261no—
1598C4⋊C4—261no—
1599C4⋊C4—261no—
1600C4⋊C4—261no—
1601C4⋊C4—261no—
1602C4⋊C4—261no—
1603C4⋊C4—261no—
1604C4⋊C4—261no—
1605C4⋊C4—261no—
1606C4⋊C4—261no—
1607C4⋊C4C2×C22⋊D1311yescharacteristic
1608C4⋊C4C2×C22⋊D1311yescharacteristic
1609C4⋊C4C2×C22⋊D1311yescharacteristic
1610C4⋊C4C2×C22⋊D1311yescharacteristic
1611C4⋊C4C2×C22⋊D1311yescharacteristic
1612C4⋊C4C2×C22⋊D1311yescharacteristic
1613C4⋊C4C23×D1311yescharacteristic
1614C4⋊C4C23×D1311yescharacteristic
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—261no—
1629C22⋊C4—261no—
1630C22⋊C4—261no—
1631C22⋊C4—261no—
1632C22⋊C4—261no—
1633C22⋊C4—261no—
1634C22⋊C4—261no—
1635C22⋊C4—261no—
1636C22⋊C4—261no—
1637C22⋊C4—261no—
1638C22⋊C4—261no—
1639C22⋊C4—261no—
1640C22⋊C4—261no—
1641C22⋊C4—261no—
1642C22⋊C4—261no—
1643C22⋊C4—261no—
1644C22⋊C4—261no—
1645C22⋊C4C2×C22⋊D1311yescharacteristic
1646C22⋊C4C2×C22⋊D1311yescharacteristic
1647C22⋊C4C2×C22⋊D1311yescharacteristic
1648C22⋊C4C2×C22⋊D1311yescharacteristic
1649C22⋊C4C2×C22⋊D1311yescharacteristic
1650C22⋊C4C2×C22⋊D1311yescharacteristic
1651C22⋊C4C2×C22⋊D1311yescharacteristic
1652C22⋊C4C2×C22⋊D1311yescharacteristic
1653C22⋊C4C2×C22⋊D1311yescharacteristic
1654C22⋊C4C2×C22⋊D1311yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—261no—
1661C42—261no—
1662C42—261no—
1663C42—261no—
1664C42—261no—
1665C42C23×D1311yescharacteristic
1666C42C23×D1311yescharacteristic
1667C13#6161511yescharacteristic, complemented, Sylow
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—41no—
1672C23—41no—
1673C23—41no—
1674C23—42no—
1675C23—81no—
1676C23—81no—
1677C23—261no—
1678C23C22×C22⋊D1311yescharacteristic
1679C23C22×C22⋊D1311yescharacteristic
1680C23C22×C22⋊D1311yescharacteristic
1681C23C22×C22⋊D1311yescharacteristic
1682C23C22×C22⋊D1311yescharacteristic
1683Q8—24no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—41no—
1689Q8—42no—
1690Q8—42no—
1691Q8—261no—
1692Q8—261no—
1693Q8—261no—
1694Q8—261no—
1695Q8—261no—
1696Q8—261no—
1697Q8—1041no—
1698Q8—1041no—
1699Q8—1041no—
1700Q8#8825112yes—
1701Q8#8825112yes—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—42no—
1716D4—42no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—81no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—261no—
1734D4—261no—
1735D4—522no—
1736D4—1041no—
1737D4—1041no—
1738D4—1041no—
1739D4—1041no—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—41no—
1757C2×C4—41no—
1758C2×C4—41no—
1759C2×C4—42no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—42no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—261no—
1769C2×C4—261no—
1770C2×C4—261no—
1771C2×C4—261no—
1772C2×C4—261no—
1773C2×C4—261no—
1774C2×C4—261no—
1775C2×C4—1041no—
1776C2×C4—1041no—
1777C2×C4—1041no—
1778C2×C4—1041no—
1779C2×C4—1041no—
1780C2×C4—1041no—
1781C2×C4—1041no—
1782C2×C4C22×C22⋊D1311yescharacteristic
1783C2×C4C22×C22⋊D1311yescharacteristic
1784C2×C4C22×C22⋊D1311yescharacteristic
1785C2×C4C22×C22⋊D1311yescharacteristic
1786C2×C4C22×C22⋊D1311yescharacteristic
1787C2×C4C22×C22⋊D1311yescharacteristic
1788C2×C4C22×C22⋊D1311yescharacteristic
1789C2×C4C22×C22⋊D1311yescharacteristic
1790C2×C4C22×C22⋊D1311yescharacteristic
1791C2×C4C24×D1311yescharacteristic
1792C8—261no—
1793C8—261no—
1794C8—261no—
1795C8—261no—
1796C8—261no—
1797C8—261no—
1798C8—261no—
1799C8—261no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—82no—
1825C22—84no—
1826C22—521no—
1827C22—521no—
1828C22—521no—
1829C22C23×C22⋊D1311yescharacteristic
1830C4—22no—
1831C4—22no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—521no—
1845C4—521no—
1846C4—521no—
1847C4—521no—
1848C4—521no—
1849C4—521no—
1850C4—521no—
1851C4C2×#8825111yescharacteristic
1852C4C2×#8825111yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—81no—
1859C2—81no—
1860C2—81no—
1861C2—1041no—
1862C2#1312847111yescharacteristic
1863C2#1312960711yescharacteristic
1864C2#1312962211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D13
commutator, cosocleC2×C4×C13C25
FrattiniC2×C4C24×D13
FittingC13×#3487C2
socleC22×C13C23×D4
hypercenter#3487D13
hypocenterC13#61615
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ #525 ◁ #3487

Complements

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

NH ≅ G/Ntype
1. #13129129C2semidirect
2. #13127174C2semidirect
3. #13127089C2semidirect
4. #13126962C2semidirect
5. #13126947C2semidirect
6. #13126902C2semidirect
7. #13126842C2semidirect
8. #13126775C2semidirect
9. #13126723C2semidirect
10. #13126573C2semidirect
11. #13126566C2semidirect
12. #13126502C2semidirect
13. #13126489C2semidirect
14. #13126417C2semidirect
15. #13126417C2semidirect
16. #13126402C2semidirect
17. #13126392C2semidirect
18. #13125930C2semidirect
19. #13125908C2semidirect
20. #13125708C2semidirect
21. #13125688C2semidirect
22. #13125673C2semidirect
23. #13125613C2semidirect
24. #13125136C2semidirect
25. #13125065C2semidirect
26. #13124151C2semidirect
27. #13124131C2semidirect
28. #13124096C2semidirect
29. #13124054C2semidirect
30. #13123884C2semidirect
31. C13×#3487C2semidirect
59. C2×#88205C22semidirect
62. C2×#88204C22semidirect
63. C22×#6107C22semidirect
64. C2×#88196C22semidirect
75. #11719270C22semidirect
76. #11719257C22semidirect
77. #11719257C22semidirect
78. #11719256C22semidirect
79. #11719248C22semidirect
80. #11719247C22semidirect
81. #11719246C22semidirect
82. D4×Dic26C22semidirect
94. #11718900C22semidirect
95. #11718900C22semidirect
96. #11718900C22semidirect
100. #11718899C22semidirect
105. #11718894C22semidirect
108. #11718893C22semidirect
112. #11718889C22semidirect
113. #11718889C22semidirect
114. #11718889C22semidirect
116. #11718888C22semidirect
117. #11718886C22semidirect
118. C2×#88075C22semidirect
125. #11718737C22semidirect
126. #11718736C22semidirect
127. #11718736C22semidirect
128. #11718736C22semidirect
129. #11718735C22semidirect
130. #11718733C22semidirect
131. #11718732C22semidirect
132. #11718731C22semidirect
133. #11718721C22semidirect
134. #11718720C22semidirect
135. #11718718C22semidirect
136. #11718717C22semidirect
137. #11718716C22semidirect
138. #11718715C22semidirect
139. #11718715C22semidirect
140. #11718715C22semidirect
141. #11718713C22semidirect
142. #11718712C22semidirect
143. #11718712C22semidirect
144. #11718711C22semidirect
145. #11718710C22semidirect
146. #11718708C22semidirect
147. #11718706C22semidirect
148. #11718704C22semidirect
149. #11718703C22semidirect
150. #11718703C22semidirect
151. #11718703C22semidirect
152. #11718703C22semidirect
153. #11718702C22semidirect
154. #11718702C22semidirect
155. #11718702C22semidirect
156. #11718702C22semidirect
157. #11718702C22semidirect
158. #11718701C22semidirect
159. #11718701C22semidirect
160. #11718701C22semidirect
161. #11718700C22semidirect
162. #11718700C22semidirect
163. #11718699C22semidirect
164. #11718698C22semidirect
165. #11718698C22semidirect
166. #11718698C22semidirect
167. #11718696C22semidirect
168. #11718696C22semidirect
169. #11718696C22semidirect
170. #11718695C22semidirect
171. #11718694C22semidirect
172. #11718694C22semidirect
173. #11718692C22semidirect
174. #11718692C22semidirect
175. #11718691C22semidirect
176. #11718691C22semidirect
177. #11718691C22semidirect
178. C4×#6107C22semidirect
179. C4×#6107C22semidirect
180. C4×#6107C22semidirect
181. #11718689C22semidirect
182. #11718689C22semidirect
183. #11718687C22semidirect
184. C4×#6106C22semidirect
185. #11718683C22semidirect
186. #11718683C22semidirect
187. #11718682C22semidirect
188. #11718681C22semidirect
189. #11718673C22semidirect
190. #11718673C22semidirect
191. #11718672C22semidirect
192. #11718672C22semidirect
193. #11718672C22semidirect
194. #11718672C22semidirect
195. D4×#1055C22semidirect
196. D4×#1055C22semidirect
737. #3487D13semidirect
1667. C13#61615semidirect

Maximal subgroups

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

subgroupindex
#131291292
#131271742
#131270892
#131269622
#131269472
#131269022
#131268422
#131267752
#131267232
#131265732
#131265662
#131265022
#131264892
#131264172
#131264022
#131263922
#131259302
#131259082
#131257082
#131256882
#131256732
#131256132
#131251362
#131250652
#131241512
#131241312
#131240962
#131240542
#131238842
C13×#34872
#6161513