Finite Group Databasebeta

← #27124124

Subgroups — #27124124

Order 12032.

6518 conjugacy classes of subgroups.

The subgroup lattice has 2068 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257896C211yesmaximal, characteristic, complemented
2#20257893C211yesmaximal, characteristic, complemented
3#20257887C212yesmaximal, complemented
4#20257881C211yesmaximal, characteristic, complemented
5#20257874C212yesmaximal, complemented
6#20257866C212yesmaximal, complemented
7#20257857C212yesmaximal, complemented
8#20257849C212yesmaximal, complemented
9#20257838C214yesmaximal, complemented
10#20257821C214yesmaximal, complemented
11#20257796C212yesmaximal, complemented
12#20257782C211yesmaximal, characteristic, complemented
13#20257676C214yesmaximal, complemented
14#20257668C214yesmaximal, complemented
15#20257533C214yesmaximal, complemented
16#20257001C214yesmaximal, complemented
17#20256985C212yesmaximal, complemented
18#20256981C212yesmaximal, complemented
19#41×Dic94C212yesmaximal, complemented
20#20256966C212yesmaximal, complemented
21#20256817C214yesmaximal, complemented
22#20256813C214yesmaximal, complemented
23#20256778C211yesmaximal, characteristic, complemented
24#20256776C212yesmaximal, complemented
25#20256680C212yesmaximal, complemented
26C2×#15689676C211yesmaximal, characteristic, complemented
27C47×#3455C211yesmaximal, characteristic, complemented
28C47⋊#564C2214yescomplemented
29#15689877C2214yescomplemented
30#15689876C2214yes—
31#15689876C2214yescomplemented
32#15689875C2214yes—
33#15689875C2214yes—
34#15689875C2214yescomplemented
35#15689875C2214yescomplemented
36#15689874C2214yescomplemented
37#15689874C2214yescomplemented
38#15689873C2214yes—
39#15689870C2214yes—
40#15689870C2214yescomplemented
41#15689868C2214yes—
42#15689868C2214yes—
43#15689867C2214yes—
44#15689859C2212yescomplemented
45#15689858C2212yescomplemented
46#15689856C2212yescomplemented
47#15689856C2212yescomplemented
48#15689855C2212yescomplemented
49#15689855C2212yescomplemented
50Q8×Dic94C2212yescomplemented
51#15689853C2212yescomplemented
52#15689852C2212yescomplemented
53#15689851C2212yescomplemented
54#15689850C2214yescomplemented
55#15689850C2212yescomplemented
56#15689850C2212yescomplemented
57#15689849C2212yescomplemented
58#15689849C2212yescomplemented
59#15689848C2212yescomplemented
60#15689848C2212yescomplemented
61#15689847C2212yescomplemented
62#15689845C2212yescomplemented
63#15689845C2212yescomplemented
64#15689843C2212yescomplemented
65#15689842C2214yes—
66#15689842C2212yescomplemented
67#15689842C2212yescomplemented
68#15689840C2214yes—
69#15689840C2214yescomplemented
70#15689834C2212yescomplemented
71#15689832C2214yes—
72#15689832C2214yes—
73#15689832C2212yescomplemented
74#15689832C2212yescomplemented
75#15689831C2214yes—
76#15689830C2214yes—
77#15689830C2212yescomplemented
78#15689829C2212yescomplemented
79#15689829C2212yescomplemented
80#15689827C2214yes—
81#15689827C2214yes—
82#15689825C2214yes—
83#15689822C2214yes—
84#15689822C2214yes—
85#15689819C2214yes—
86#15689816C2214yes—
87#15689816C2214yes—
88#15689815C2214yescomplemented
89#15689811C2214yescomplemented
90#15689810C2214yes—
91#15689810C2214yescomplemented
92#15689809C2214yes—
93#15689809C2214yescomplemented
94#15689794C2212yescomplemented
95#15689793C2212yescomplemented
96D4×Dic94C2214yes—
97D4×Dic94C2212yescomplemented
98#15689788C2212yescomplemented
99#15689786C2214yes—
100#15689786C2214yescomplemented
101#15689782C2214yes—
102#15689781C2214yes—
103#15689779C2214yes—
104#15689779C2214yes—
105#15689773C2214yes—
106#15689771C2214yes—
107#15689771C2214yescomplemented
108#15689753C2214yescomplemented
109#15689752C2214yescomplemented
110#15689746C2212yes—
111#15689746C2212yes—
112#15689744C2212yes—
113#15689744C2212yes—
114#15689742C2214yes—
115#15689741C2214yes—
116#15689741C2214yescomplemented
117#15689740C2212yes—
118#15689740C2212yes—
119#15689740C2214yes—
120#15689739C2214yes—
121#15689739C2214yescomplemented
122#15689737C2214yes—
123#15689737C2214yes—
124#15689736C2214yescomplemented
125#15689735C2211yescharacteristic
126#15689735C2211yescharacteristic
127#15689733C2212yes—
128#15689733C2212yes—
129#15689733C2214yescomplemented
130#15689732C2214yescomplemented
131#15689732C2214yescomplemented
132#15689730C2214yes—
133#15689730C2214yes—
134#15689730C2214yescomplemented
135#15689730C2214yescomplemented
136#15689728C2211yescharacteristic
137#15689728C2211yescharacteristic
138#15689726C2212yes—
139#15689726C2212yes—
140#15689722C2214yescomplemented
141#15689720C2214yes—
142#15689718C2214yes—
143#15689717C2214yes—
144#15689717C2214yes—
145#15689717C2214yes—
146#15689717C2214yescomplemented
147#15689716C2214yes—
148#15689716C2214yescomplemented
149#15689714C2214yes—
150#15689714C2214yescomplemented
151#15689711C2214yes—
152#15689708C2214yes—
153#15689708C2214yes—
154#15689702C2214yes—
155#15689700C2214yes—
156#15689696C2214yescomplemented
157#15689695C2214yes—
158#15689695C2214yescomplemented
159#15689693C2214yes—
160#15689680C2211yescharacteristic
161#15689680C2214yescomplemented
162#15689677C2214yescomplemented
163#15689677C2214yescomplemented
164#15689677C2214yescomplemented
165#15689676C2211yescharacteristic
166#15689676C2212yes—
167#15689676C2212yes—
168#15689676C2212yes—
169#15689676C2212yes—
170#15689676C2212yes—
171#15689676C2211yescharacteristic
172#15689676C2211yescharacteristic
173#15689676C2211yescharacteristic
174#15689676C2212yes—
175#15689676C2212yes—
176#15689676C2212yes—
177#15689676C2214yescomplemented
178#15689676C2214yescomplemented
179#15689675C2212yes—
180#15689675C2212yes—
181#15689673C2211yescharacteristic
182#15689669C2212yes—
183#15689669C2212yes—
184#15689668C2212yes—
185#15689668C2212yes—
186C2×#13094023C2212yes—
187#15689659C2212yes—
188#15689659C2212yes—
189#15689657C2214yescomplemented
190#15689655C2214yes—
191#15689655C2214yes—
192#15689655C2214yescomplemented
193#15689654C2212yes—
194#15689654C2212yes—
195#15689653C2214yes—
196#15689653C2214yes—
197#15689653C2214yes—
198#15689653C2214yes—
199#15689653C2214yescomplemented
200#15689653C2214yescomplemented
201#15689651C2214yes—
202#15689651C2214yes—
203#15689651C2214yescomplemented
204#15689651C2214yescomplemented
205#15689650C2214yes—
206#15689650C2214yes—
207C2×#13094015C2212yes—
208#15689634C2212yes—
209#15689629C2214yes—
210#15689629C2214yes—
211C2×#13094001C2212yes—
212C2×#13094001C2212yes—
213#41×Dic47C2212yes—
214#41×Dic47C2212yes—
215C4×#10625350C2212yes—
216C4×#10625350C2214yescomplemented
217#15689591C2212yes—
218#15689591C2212yes—
219C4×#10625352C2214yes—
220C4×#10625352C2214yes—
221C4×#10625352C2214yescomplemented
222C2×C4×Dic94C2212yes—
223C2×C4×Dic94C2212yes—
224C2×C4×Dic94C2214yescomplemented
225C4×Q8×D47C2214yescomplemented
226C2×#13093983C2211yescharacteristic
227C22×C4×Dic47C2211yescharacteristic
228C47×#542C2212yes—
229C47×#542C2212yes—
230C47×#541C2211yescharacteristic
231C47×#541C2211yescharacteristic
232C47×#540C2211yescharacteristic
233C47×#540C2211yescharacteristic
234C47×#539C2214yes—
235C47×#538C2214yes—
236C47×#533C2211yescharacteristic
237C47×#532C2211yescharacteristic
238C47×#529C2214yes—
239C47×#529C2214yes—
240C47×#525C2212yes—
241C4×#41×C47C2212yes—
242C2×#117×C47C2211yescharacteristic
243C2×#10625350C2312yes—
244C2×#10625350C2314yes—
245C2×#10625352C2314yes—
246C2×#10625352C2314yes—
247C2×#10625352C2314yes—
248C22×Dic94C2312yes—
249C22×Dic94C2314yes—
250C22×Dic94C2312yes—
251C2×Q8×D47C2314yes—
252C23×Dic47C2312yes—
253#13094024C2311yescharacteristic
254#13094024C2314yes—
255#13094024C2314yes—
256#13094024C2312yes—
257#13094023C2314yes—
258#13094023C2314yes—
259#13094023C2312yes—
260#13094023C2314yes—
261#13094023C2312yes—
262#13094023C2314yes—
263#13094023C2314yes—
264#13094023C2312yes—
265#13094023C2312yes—
266#13094023C2312yes—
267#13094023C2314yes—
268#13094023C2314yes—
269#13094023C2312yes—
270#13094023C2312yes—
271#13094023C2312yes—
272#13094023C2312yes—
273#13094023C2312yes—
274#13094023C2312yes—
275#13094023C2312yes—
276#13094022C2312yes—
277#13094022C2314yes—
278#13094022C2314yes—
279#13094022C2314yes—
280#13094022C2312yes—
281#13094021C2311yescharacteristic
282#13094020C2312yes—
283#13094020C2312yes—
284#13094019C2314yes—
285#13094019C2314yes—
286#13094019C2314yes—
287#13094019C2314yes—
288#13094019C2314yes—
289#13094019C2314yes—
290#13094019C2314yes—
291#13094019C2314yes—
292#13094019C2314yes—
293#13094019C2314yes—
294#13094018C2314yes—
295#13094018C2314yes—
296#13094017C2314yes—
297#13094017C2314yes—
298#13094017C2314yes—
299#13094017C2314yes—
300#13094017C2314yes—
301#13094017C2314yes—
302#13094017C2314yes—
303#13094017C2314yes—
304#13094017C2314yes—
305#13094017C2314yes—
306#13094017C2314yes—
307#13094017C2314yes—
308#13094017C2314yes—
309#13094017C2314yes—
310#13094017C2314yes—
311#13094017C2314yes—
312#13094016C2311yescharacteristic
313#13094016C2311yescharacteristic
314#13094016C2314yes—
315#13094016C2314yes—
316#13094016C2314yes—
317#13094015C2314yes—
318#13094015C2314yes—
319#13094015C2312yes—
320#13094015C2314yes—
321#13094015C2312yes—
322#13094015C2314yes—
323#13094015C2314yes—
324#13094015C2312yes—
325#13094015C2312yes—
326#13094015C2312yes—
327#13094015C2314yes—
328#13094015C2312yes—
329#13094015C2314yes—
330#13094015C2312yes—
331#13094015C2312yes—
332#13094015C2312yes—
333#13094015C2312yes—
334#13094015C2312yes—
335#13094015C2312yes—
336#13094014C2314yes—
337#13094014C2314yes—
338#13094014C2314yes—
339#13094014C2314yes—
340#13094014C2314yes—
341#13094014C2314yes—
342#13094014C2314yes—
343#13094014C2314yes—
344#13094014C2314yes—
345#13094014C2314yes—
346#13094014C2314yes—
347#13094014C2314yes—
348#13094014C2314yes—
349#13094014C2314yes—
350#13094014C2314yes—
351#13094014C2314yes—
352#13094013C2312yes—
353#13094013C2312yes—
354#13094012C2314yes—
355#13094012C2312yes—
356#13094011C2314yes—
357#13094011C2312yes—
358#13094011C2314yes—
359#13094011C2314yes—
360#13094011C2312yes—
361#13094010C2314yes—
362#13094010C2314yes—
363#13094010C2314yes—
364#13094010C2314yes—
365#13094010C2314yes—
366#13094010C2314yes—
367#13094010C2314yes—
368#13094010C2314yes—
369#13094010C2314yes—
370#13094010C2314yes—
371#13094009C2314yes—
372#13094009C2314yes—
373#13094009C2314yes—
374#13094009C2314yes—
375#13094008C2314yes—
376#13094008C2314yes—
377#13094008C2314yes—
378#13094008C2314yes—
379#13094008C2314yes—
380#13094008C2314yes—
381#13094007C2314yes—
382#13094007C2314yes—
383#13094007C2314yes—
384#13094006C2314yes—
385#13094006C2314yes—
386#13094006C2314yes—
387#13094006C2314yes—
388#13094006C2314yes—
389#13094006C2314yes—
390#13094006C2314yes—
391#13094006C2314yes—
392#13094006C2314yes—
393#13094006C2314yes—
394#13094005C2314yes—
395#13094005C2314yes—
396#13094005C2314yes—
397#13094005C2314yes—
398#13094005C2314yes—
399#13094005C2314yes—
400#13094004C2314yes—
401#13094004C2314yes—
402#13094004C2314yes—
403#13094004C2314yes—
404#13094004C2314yes—
405#13094004C2314yes—
406#13094003C2312yes—
407#13094003C2312yes—
408#13094003C2314yes—
409#13094003C2314yes—
410#13094003C2314yes—
411#13094003C2314yes—
412#13094003C2314yes—
413#13094003C2314yes—
414#13094002C2314yes—
415#13094002C2314yes—
416#13094002C2314yes—
417#13094002C2314yes—
418#13094002C2314yes—
419#13094002C2314yes—
420#13094002C2314yes—
421#13094002C2314yes—
422#13094002C2314yes—
423#13094002C2314yes—
424#13094001C2312yes—
425#13094001C2312yes—
426#13094001C2314yes—
427#13094001C2314yes—
428#13094001C2314yes—
429#13094001C2314yes—
430#13094001C2314yes—
431#13094001C2312yes—
432#13094001C2312yes—
433#13094001C2314yes—
434#13094001C2314yes—
435#13094001C2312yes—
436#13094001C2314yes—
437#13094001C2312yes—
438#13094001C2314yes—
439#13094001C2314yes—
440#13094001C2312yes—
441#13094001C2314yes—
442#13094001C2312yes—
443#13094001C2314yes—
444#13094001C2314yes—
445#13094001C2312yes—
446#13094001C2312yes—
447#13094001C2312yes—
448#13094001C2312yes—
449#13094001C2314yes—
450#13094001C2314yes—
451#13094001C2314yes—
452#13094001C2314yes—
453#13094001C2312yes—
454#13094001C2312yes—
455#13094001C2312yes—
456#13094001C2312yes—
457#13094001C2314yes—
458#13094000C2314yes—
459#13094000C2314yes—
460#13094000C2314yes—
461#13093998C2312yes—
462#13093998C2312yes—
463#13093998C2314yes—
464#13093998C2314yes—
465#13093997C2314yes—
466#13093997C2314yes—
467#13093997C2314yes—
468#13093997C2314yes—
469#13093996C2314yes—
470#13093996C2314yes—
471#13093996C2314yes—
472#13093996C2314yes—
473#13093996C2314yes—
474#13093996C2314yes—
475#13093996C2314yes—
476#13093996C2314yes—
477#13093996C2314yes—
478#13093996C2314yes—
479#13093995C2314yes—
480#13093995C2314yes—
481#13093995C2314yes—
482#13093993C2314yes—
483Q8×Dic47C2312yes—
484Q8×Dic47C2312yes—
485Q8×Dic47C2314yes—
486Q8×Dic47C2312yes—
487Q8×Dic47C2312yes—
488C4×Dic94C2314yes—
489C4×Dic94C2314yes—
490C4×Dic94C2314yes—
491C4×Dic94C2314yes—
492C4×Dic94C2314yes—
493C4×Dic94C2312yes—
494C4×Dic94C2312yes—
495C4×Dic94C2312yes—
496C4×Dic94C2312yes—
497C4×Dic94C2312yes—
498C4×Dic94C2312yes—
499C4×Dic94C2312yes—
500C4×Dic94C2312yes—
501C4×Dic94C2312yes—
502C4×Dic94C2312yes—
503C4×Dic94C2312yes—
504C4×Dic94C2314yes—
505C4×Dic94C2314yes—
506C4×Dic94C2312yes—
507C4×Dic94C2312yes—
508C4×Dic94C2312yes—
509C4×Dic94C2312yes—
510C4×Dic94C2312yes—
511C4×Dic94C2312yes—
512C4×Dic94C2312yes—
513C4×Dic94C2314yes—
514C4×Dic94C2314yes—
515C4×Dic94C2314yes—
516#13093989C2314yes—
517#13093989C2314yes—
518#13093989C2314yes—
519#13093989C2314yes—
520#13093989C2312yes—
521#13093989C2312yes—
522#13093989C2314yes—
523#13093989C2314yes—
524#13093989C2312yes—
525#13093989C2312yes—
526C4×D188C2312yes—
527C4×D188C2312yes—
528C4×D188C2314yes—
529C4×D188C2314yes—
530D4×Dic47C2314yes—
531D4×Dic47C2312yes—
532D4×Dic47C2312yes—
533D4×Dic47C2314yes—
534D4×Dic47C2314yes—
535D4×Dic47C2314yes—
536D4×Dic47C2314yes—
537D4×Dic47C2314yes—
538D4×Dic47C2312yes—
539D4×Dic47C2314yes—
540D4×Dic47C2312yes—
541#13093986C2312yes—
542#13093986C2312yes—
543#13093986C2312yes—
544#13093986C2312yes—
545C4×C22⋊D47C2314yes—
546C4×C22⋊D47C2314yes—
547C4×C22⋊D47C2314yes—
548C4×C22⋊D47C2314yes—
549C4×C22⋊D47C2314yes—
550C4×C22⋊D47C2314yes—
551C4×C22⋊D47C2314yes—
552C4×C22⋊D47C2314yes—
553C4×C22⋊D47C2314yes—
554C4×C22⋊D47C2314yes—
555(C22⋊D47)⋊C4C2314yes—
556(C22⋊D47)⋊C4C2314yes—
557(C22⋊D47)⋊C4C2314yes—
558(C22⋊D47)⋊C4C2314yes—
559(C22⋊D47)⋊C4C2314yes—
560(C22⋊D47)⋊C4C2314yes—
561(C22⋊D47)⋊C4C2314yes—
562(C22⋊D47)⋊C4C2314yes—
563(C22⋊D47)⋊C4C2314yes—
564(C22⋊D47)⋊C4C2314yes—
565#13093983C2311yescharacteristic
566#13093983C2312yes—
567#13093983C2314yes—
568#13093983C2311yescharacteristic
569#13093983C2311yescharacteristic
570#13093983C2312yes—
571#13093983C2311yescharacteristic
572#13093983C2312yes—
573#13093983C2314yes—
574#13093983C2314yes—
575#13093982C2314yes—
576#13093982C2314yes—
577#13093982C2314yes—
578#13093981C2314yes—
579#13093981C2314yes—
580#13093981C2314yes—
581#13093981C2314yes—
582#13093981C2314yes—
583#13093980C2314yes—
584#13093980C2314yes—
585#13093980C2314yes—
586#13093980C2314yes—
587#13093980C2314yes—
588#13093980C2314yes—
589C2×C4⋊Dic47C2314yes—
590C2×C4⋊Dic47C2312yes—
591C2×C4⋊Dic47C2312yes—
592C2×C4⋊Dic47C2312yes—
593C2×Dic47⋊C4C2314yes—
594C2×Dic47⋊C4C2314yes—
595C2×Dic47⋊C4C2312yes—
596C2×Dic47⋊C4C2312yes—
597C2×Dic47⋊C4C2312yes—
598C2×Dic47⋊C4C2312yes—
599C4⋊C4×D47C2314yes—
600C4⋊C4×D47C2314yes—
601C4⋊C4×D47C2314yes—
602C2×C22⋊Dic47C2311yescharacteristic
603C2×C22⋊Dic47C2311yescharacteristic
604C2×C4×Dic47C2312yes—
605C2×C4×Dic47C2311yescharacteristic
606C2×C4×Dic47C2312yes—
607C2×C4×Dic47C2311yescharacteristic
608C2×C4×Dic47C2311yescharacteristic
609C2×C4×Dic47C2311yescharacteristic
610C2×C4×Dic47C2311yescharacteristic
611C2×C4×Dic47C2312yes—
612C2×C4×Dic47C2311yescharacteristic
613C2×C4×Dic47C2312yes—
614C2×C4×Dic47C2314yes—
615C2×C4×Dic47C2314yes—
616C42×D47C2314yes—
617C42×D47C2314yes—
618C42×D47C2314yes—
619C2×#41×C47C2312yes—
620C23×C4×C47C2311yescharacteristic
621C4⋊Q8×C47C2312yes—
622C4⋊Q8×C47C2311yescharacteristic
623#127×C47C2311yescharacteristic
624#126×C47C2314yes—
625#126×C47C2314yes—
626#126×C47C2314yes—
627#126×C47C2314yes—
628#125×C47C2314yes—
629#125×C47C2314yes—
630#125×C47C2311yescharacteristic
631#125×C47C2311yescharacteristic
632#124×C47C2314yes—
633#124×C47C2314yes—
634#124×C47C2312yes—
635#123×C47C2314yes—
636#123×C47C2314yes—
637#123×C47C2314yes—
638#123×C47C2314yes—
639#123×C47C2314yes—
640C22⋊Q8×C47C2312yes—
641C22⋊Q8×C47C2312yes—
642C22⋊Q8×C47C2314yes—
643C22⋊Q8×C47C2314yes—
644C22⋊Q8×C47C2314yes—
645#121×C47C2312yes—
646#121×C47C2312yes—
647#121×C47C2314yes—
648#121×C47C2314yes—
649#121×C47C2314yes—
650#120×C47C2314yes—
651C4×Q8×C47C2312yes—
652C4×Q8×C47C2312yes—
653C4×Q8×C47C2314yes—
654C4×D4×C47C2314yes—
655C4×D4×C47C2314yes—
656C4×D4×C47C2312yes—
657C4×D4×C47C2312yes—
658C4×D4×C47C2314yes—
659C4×D4×C47C2314yes—
660C4×D4×C47C2314yes—
661#117×C47C2311yescharacteristic
662#117×C47C2311yescharacteristic
663#117×C47C2311yescharacteristic
664#117×C47C2311yescharacteristic
665#117×C47C2312yes—
666#117×C47C2312yes—
667#117×C47C2312yes—
668#117×C47C2314yes—
669C2×C4⋊C4×C47C2312yes—
670C2×C22⋊C4×C47C2312yes—
671C2×C42×C47C2311yescharacteristic
672C2×C42×C47C2311yescharacteristic
673C2×C42×C47C2314yes—
674C24×C47C2411yescharacteristic
675#41×C47—28no—
676C2×Q8×C47C2412yes—
677C2×Q8×C47C2414yes—
678C2×D4×C47C2414yes—
679C2×D4×C47C2412yes—
680C2×D4×C47C2414yes—
681C2×D4×C47C2414yes—
682C2×D4×C47C2414yes—
683C22×C4×C47—24no—
684C22×C4×C47C2414yes—
685C22×C4×C47C2411yescharacteristic
686C22×C4×C47C2411yescharacteristic
687C22×C4×C47C2411yescharacteristic
688C22×C4×C47C2411yescharacteristic
689C22×C4×C47C2411yescharacteristic
690C22×C4×C47C2412yes—
691C22×C4×C47C2412yes—
692C22×C4×C47C2414yes—
693C22×C4×C47C2414yes—
694C22×C4×C47C2411yescharacteristic
695C2×C22⋊D47C2414yes—
696C2×C22⋊D47C2414yes—
697C2×C22⋊D47C2414yes—
698C2×C22⋊D47C2414yes—
699C2×C22⋊D47C2414yes—
700C2×C22⋊D47C2414yes—
701C2×C22⋊D47C2414yes—
702C22×Dic47—44no—
703C22×Dic47C2412yes—
704C22×Dic47C2412yes—
705C22×Dic47C2412yes—
706C22×Dic47C2414yes—
707C22×Dic47C2412yes—
708C22×Dic47C2412yes—
709C22×Dic47C2412yes—
710C22×Dic47C2412yes—
711C22×Dic47C2412yes—
712C22×Dic47C2414yes—
713C22×Dic47C2414yes—
714C22×Dic47C2414yes—
715Q8×D47—48no—
716#10625352—48no—
717#10625352—48no—
718#10625352—48no—
719#10625350—28no—
720#10625350—48no—
721C2×D188C2412yes—
722C2×D188C2414yes—
723C2×C4×D47C2414yes—
724C2×C4×D47C2414yes—
725C2×C4×D47C2414yes—
726C2×C4×D47C2414yes—
727C2×C4×D47C2414yes—
728C2×C4×D47C2414yes—
729C2×C4×D47C2414yes—
730C2×Dic94—44no—
731C2×Dic94—48no—
732C2×Dic94—44no—
733C2×Dic94C2412yes—
734C2×Dic94C2412yes—
735C2×Dic94C2414yes—
736C2×Dic94C2412yes—
737C2×Dic94C2412yes—
738C2×Dic94C2412yes—
739C2×Dic94C2414yes—
740C2×Dic94C2414yes—
741C2×Dic94C2412yes—
742C2×Dic94C2412yes—
743C2×Dic94C2414yes—
744C2×Dic94C2412yes—
745C2×Dic94C2414yes—
746C2×Dic94C2412yes—
747C4⋊C4×C47C2412yes—
748C4⋊C4×C47C2412yes—
749C4⋊C4×C47C2412yes—
750C4⋊C4×C47C2412yes—
751C4⋊C4×C47C2412yes—
752C4⋊C4×C47C2412yes—
753C4⋊C4×C47C2414yes—
754C4⋊C4×C47C2414yes—
755C4⋊C4×C47C2414yes—
756C4⋊C4×C47C2414yes—
757C4⋊C4×C47C2414yes—
758C4⋊C4×C47C2414yes—
759C4⋊C4×C47C2414yes—
760C4⋊C4×C47C2414yes—
761C22⋊C4×C47C2412yes—
762C22⋊C4×C47C2412yes—
763C22⋊C4×C47C2412yes—
764C22⋊C4×C47C2412yes—
765C22⋊C4×C47C2414yes—
766C22⋊C4×C47C2414yes—
767C22⋊C4×C47C2414yes—
768C22⋊C4×C47C2414yes—
769C22⋊C4×C47C2414yes—
770C22⋊C4×C47C2414yes—
771C22⋊C4×C47C2414yes—
772C22⋊C4×C47C2414yes—
773C22⋊C4×C47C2414yes—
774C42×C47C2412yes—
775C42×C47C2412yes—
776C42×C47C2414yes—
777C42×C47C2411yescharacteristic
778C42×C47C2411yescharacteristic
779C42×C47C2411yescharacteristic
780C42×C47C2411yescharacteristic
781C42×C47C2414yes—
782C42×C47C2414yes—
783C22⋊Dic47C2411yescharacteristic
784C22⋊Dic47C2412yes—
785C22⋊Dic47C2411yescharacteristic
786C22⋊Dic47C2412yes—
787C22⋊Dic47C2411yescharacteristic
788C22⋊Dic47C2411yescharacteristic
789C22⋊Dic47C2414yes—
790C22⋊Dic47C2414yes—
791C22⋊Dic47C2414yes—
792C22⋊Dic47C2414yes—
793C22⋊Dic47C2414yes—
794C22⋊Dic47C2414yes—
795C22⋊Dic47C2414yes—
796C22⋊Dic47C2414yes—
797C22⋊Dic47C2414yes—
798C22⋊Dic47C2414yes—
799C22⋊Dic47C2414yes—
800(C2×D47)⋊C4C2414yes—
801(C2×D47)⋊C4C2414yes—
802(C2×D47)⋊C4C2414yes—
803(C2×D47)⋊C4C2414yes—
804(C2×D47)⋊C4C2414yes—
805(C2×D47)⋊C4C2414yes—
806(C2×D47)⋊C4C2414yes—
807(C2×D47)⋊C4C2414yes—
808(C2×D47)⋊C4C2414yes—
809(C2×D47)⋊C4C2414yes—
810(C2×D47)⋊C4C2414yes—
811(C2×D47)⋊C4C2414yes—
812(C2×D47)⋊C4C2414yes—
813(C2×D47)⋊C4C2414yes—
814C4⋊Dic47C2412yes—
815C4⋊Dic47C2414yes—
816C4⋊Dic47C2414yes—
817C4⋊Dic47C2412yes—
818C4⋊Dic47C2412yes—
819C4⋊Dic47C2412yes—
820C4⋊Dic47C2412yes—
821C4⋊Dic47C2412yes—
822C4⋊Dic47C2412yes—
823C4⋊Dic47C2412yes—
824C4⋊Dic47C2412yes—
825C4⋊Dic47C2414yes—
826C4⋊Dic47C2412yes—
827C4⋊Dic47C2412yes—
828C4⋊Dic47C2412yes—
829C4⋊Dic47C2414yes—
830C4⋊Dic47C2414yes—
831C4⋊Dic47C2412yes—
832C4⋊Dic47C2412yes—
833C4⋊Dic47C2414yes—
834C4⋊Dic47C2414yes—
835C4⋊Dic47C2414yes—
836C4⋊Dic47C2414yes—
837C4⋊Dic47C2414yes—
838Dic47⋊C4C2412yes—
839Dic47⋊C4C2412yes—
840Dic47⋊C4C2414yes—
841Dic47⋊C4C2414yes—
842Dic47⋊C4C2414yes—
843Dic47⋊C4C2414yes—
844Dic47⋊C4C2412yes—
845Dic47⋊C4C2412yes—
846Dic47⋊C4C2412yes—
847Dic47⋊C4C2412yes—
848Dic47⋊C4C2412yes—
849Dic47⋊C4C2412yes—
850Dic47⋊C4C2412yes—
851Dic47⋊C4C2414yes—
852Dic47⋊C4C2412yes—
853Dic47⋊C4C2414yes—
854Dic47⋊C4C2414yes—
855Dic47⋊C4C2412yes—
856Dic47⋊C4C2414yes—
857Dic47⋊C4C2412yes—
858Dic47⋊C4C2412yes—
859Dic47⋊C4C2412yes—
860Dic47⋊C4C2412yes—
861Dic47⋊C4C2412yes—
862Dic47⋊C4C2414yes—
863Dic47⋊C4C2414yes—
864Dic47⋊C4C2414yes—
865Dic47⋊C4C2414yes—
866Dic47⋊C4C2414yes—
867Dic47⋊C4C2414yes—
868Dic47⋊C4C2414yes—
869Dic47⋊C4C2414yes—
870Dic47⋊C4C2414yes—
871Dic47⋊C4C2414yes—
872Dic47⋊C4C2414yes—
873Dic47⋊C4C2414yes—
874Dic47⋊C4C2414yes—
875Dic47⋊C4C2414yes—
876C4×Dic47C2412yes—
877C4×Dic47C2412yes—
878C4×Dic47C2414yes—
879C4×Dic47C2414yes—
880C4×Dic47C2414yes—
881C4×Dic47C2414yes—
882C4×Dic47C2414yes—
883C4×Dic47C2414yes—
884C4×Dic47C2414yes—
885C4×Dic47C2411yescharacteristic
886C4×Dic47C2412yes—
887C4×Dic47C2412yes—
888C4×Dic47C2412yes—
889C4×Dic47C2411yescharacteristic
890C4×Dic47C2412yes—
891C4×Dic47C2412yes—
892C4×Dic47C2412yes—
893C4×Dic47C2411yescharacteristic
894C4×Dic47C2411yescharacteristic
895C4×Dic47C2414yes—
896C4×Dic47C2414yes—
897C4×Dic47C2414yes—
898C4×Dic47C2412yes—
899C4×Dic47C2412yes—
900C4×Dic47C2414yes—
901C23×C47—22no—
902C23×C47—42no—
903C23×C47C2511yescharacteristic
904C23×C47C2511yescharacteristic
905C23×C47C2514yes—
906C23×C47C2511yescharacteristic
907C22×D47C2514yes—
908Q8×C47—24no—
909Q8×C47—44no—
910D4×C47—28no—
911D4×C47—24no—
912D4×C47—44no—
913D4×C47—44no—
914D4×C47—44no—
915C2×C4×C47—22no—
916C2×C4×C47—22no—
917C2×C4×C47—22no—
918C2×C4×C47—22no—
919C2×C4×C47—22no—
920C2×C4×C47—28no—
921C2×C4×C47—44no—
922C2×C4×C47—42no—
923C2×C4×C47—42no—
924C2×C4×C47—44no—
925C2×C4×C472−1+414yes—
926C2×C4×C47C2514yes—
927C2×C4×C47C2511yescharacteristic
928C2×C4×C47C2511yescharacteristic
929C2×C4×C47C2512yes—
930C2×C4×C47C2514yes—
931C2×C4×C47C2514yes—
932C2×C4×C47C2512yes—
933C2×C4×C47C2512yes—
934C2×C4×C47C2512yes—
935C2×C4×C47C2511yescharacteristic
936C2×C4×C47C2511yescharacteristic
937C22⋊D47—28no—
938C22⋊D47—28no—
939C22⋊D47—44no—
940C22⋊D47—44no—
941C22⋊D47—44no—
942C22⋊D47—44no—
943C22⋊D47—44no—
944C2×Dic47—24no—
945C2×Dic47—28no—
946C2×Dic47—24no—
947C2×Dic47—24no—
948C2×Dic47—42no—
949C2×Dic47—44no—
950C2×Dic47—42no—
951C2×Dic47—44no—
952C2×Dic47—44no—
953C2×Dic47—42no—
954C2×Dic47—42no—
955C2×Dic47—42no—
956C2×Dic47C2512yes—
957C2×Dic47C2514yes—
958C2×Dic47C2512yes—
959C2×Dic47C2512yes—
960C2×Dic47C2512yes—
961C2×Dic47C2514yes—
962C2×Dic47C2514yes—
963C2×Dic47C2512yes—
964C2×Dic47C2512yes—
965C2×Dic47C2512yes—
966C2×Dic47C2512yes—
967D188—24no—
968D188—44no—
969C4×D47—28no—
970C4×D47—28no—
971C4×D47—44no—
972C4×D47—44no—
973C4×D47—44no—
974C4×D47—44no—
975C4×D47—44no—
976Dic94—24no—
977Dic94—24no—
978Dic94—24no—
979Dic94—24no—
980Dic94—28no—
981Dic94—24no—
982Dic94—42no—
983Dic94—42no—
984Dic94—44no—
985Dic94—44no—
986Dic94—42no—
987Dic94—42no—
988Dic94—44no—
989Dic94—44no—
990#62761—471nomaximal, Sylow
991C22×C47—22no—
992C22×C47—21no—
993C22×C47—21no—
994C22×C47—24no—
995C22×C47—24no—
996C22×C47—22no—
997C22×C47—22no—
998C22×C47—24no—
999C22×C47—44no—
1000C22×C47C2×2−1+412yes—
1001C22×C47C2611yescharacteristic
1002C2×D47—24no—
1003C2×D47—24no—
1004C2×D47—24no—
1005C4×C47—21no—
1006C4×C47—21no—
1007C4×C47—24no—
1008C4×C47—22no—
1009C4×C47—22no—
1010C4×C47—24no—
1011C4×C47—22no—
1012C4×C47—22no—
1013C4×C47—24no—
1014C4×C47C2×2−1+412yes—
1015C4×C47C2×2−1+412yes—
1016Dic47—24no—
1017Dic47—22no—
1018Dic47—22no—
1019Dic47—24no—
1020Dic47—22no—
1021Dic47—22no—
1022Dic47—22no—
1023Dic47—24no—
1024Dic47—22no—
1025Dic47—22no—
1026Dic47#58514yes—
1027#3557—472no—
1028#3557—471no—
1029#3557—471no—
1030#3556—471no—
1031#3555—472no—
1032#3555—472no—
1033#3554—472no—
1034#3554—472no—
1035#3553—474no—
1036#3552—474no—
1037#3550—472no—
1038#3548—471no—
1039#3541—474no—
1040#3541—474no—
1041#3531—474no—
1042#3482—474no—
1043#3480—472no—
1044#3480—472no—
1045Q8×#41—472no—
1046Q8×#41—472no—
1047#3461—474no—
1048#3461—474no—
1049#3455—472no—
1050#3455—471no—
1051#3455D4711yescharacteristic, complemented
1052#3444—472no—
1053C2×#533—471no—
1054C2×C47—22no—
1055C2×C47—44no—
1056C2×C47—41no—
1057C2×C47—41no—
1058C2×C47C22×2−1+411yescharacteristic
1059C2×C47C2×#58512yes—
1060D47—44no—
1061#564—474no—
1062#563—474no—
1063#563—474no—
1064#563—474no—
1065#563—474no—
1066#563—474no—
1067#563—474no—
1068#563—474no—
1069#563—474no—
1070#563—474no—
1071#563—474no—
1072#562—474no—
1073#562—474no—
1074#562—474no—
1075#562—474no—
1076#562—474no—
1077#559—472no—
1078#559—472no—
1079#559—472no—
1080#559—472no—
1081#559—472no—
1082#559—472no—
1083Q82—472no—
1084Q82—472no—
1085#557—472no—
1086#557—472no—
1087#557—472no—
1088#557—472no—
1089#557—474no—
1090#557—472no—
1091#557—472no—
1092#557—472no—
1093#557—472no—
1094#556—472no—
1095#556—474no—
1096#556—474no—
1097#556—474no—
1098#556—472no—
1099#556—472no—
1100#556—472no—
1101#556—472no—
1102#556—472no—
1103#554—472no—
1104#554—472no—
1105#554—472no—
1106#554—474no—
1107#554—474no—
1108#554—474no—
1109#554—474no—
1110#554—472no—
1111#554—474no—
1112#554—474no—
1113#554—472no—
1114#554—472no—
1115#553—474no—
1116#553—474no—
1117#553—474no—
1118#553—474no—
1119#553—474no—
1120#553—474no—
1121#552—474no—
1122#552—474no—
1123#552—474no—
1124#552—474no—
1125#552—474no—
1126#552—474no—
1127#550—472no—
1128#550—472no—
1129D4×Q8—472no—
1130D4×Q8—474no—
1131D4×Q8—474no—
1132D4×Q8—474no—
1133D4×Q8—472no—
1134#548—474no—
1135#548—474no—
1136#548—474no—
1137#548—474no—
1138#547—474no—
1139#547—474no—
1140#547—474no—
1141#544—474no—
1142#544—474no—
1143#542—474no—
1144#542—474no—
1145#542—474no—
1146#542—474no—
1147#542—474no—
1148#542—474no—
1149#542—474no—
1150#542—472no—
1151#542—472no—
1152#542—472no—
1153#542—472no—
1154#542—474no—
1155#542—472no—
1156#542—472no—
1157#542C2×D4712yes—
1158#542C2×D4712yes—
1159#541—474no—
1160#541—474no—
1161#541—474no—
1162#541—474no—
1163#541—474no—
1164#541—474no—
1165#541—474no—
1166#541—472no—
1167#541—472no—
1168#541—474no—
1169#541—471no—
1170#541—471no—
1171#541C2×D4711yescharacteristic
1172#541C2×D4711yescharacteristic
1173#540—472no—
1174#540—472no—
1175#540—471no—
1176#540—471no—
1177#540C2×D4711yescharacteristic
1178#540C2×D4711yescharacteristic
1179#539—474no—
1180#539—474no—
1181#539—474no—
1182#539—474no—
1183#539—474no—
1184#539—474no—
1185#539—474no—
1186#539—474no—
1187#539—474no—
1188#539—474no—
1189#539—474no—
1190#539C2×D4714yes—
1191#538—474no—
1192#538—474no—
1193#538—474no—
1194#538C2×D4714yes—
1195#537—474no—
1196#537—474no—
1197#536—474no—
1198#536—474no—
1199#536—474no—
1200#536—474no—
1201#533—472no—
1202#533—472no—
1203#533—474no—
1204#533—474no—
1205#533—474no—
1206#533—472no—
1207#533—472no—
1208#533—472no—
1209#533—472no—
1210#533—471no—
1211#533—471no—
1212#533—472no—
1213#533—472no—
1214#533—471no—
1215#533—471no—
1216#533—472no—
1217#533—472no—
1218#533—474no—
1219#533—474no—
1220#533—471no—
1221#533—474no—
1222#533C2×D4711yescharacteristic
1223#532—472no—
1224#532—472no—
1225#532—472no—
1226#532—472no—
1227#532—471no—
1228#532C2×D4711yescharacteristic
1229C2×C4⋊Q8—472no—
1230#529—474no—
1231#529—474no—
1232#529—472no—
1233#529—472no—
1234#529—472no—
1235#529—472no—
1236#529—474no—
1237#529—474no—
1238#529—474no—
1239#529—474no—
1240#529—474no—
1241#529—474no—
1242#529—474no—
1243#529—474no—
1244#529—474no—
1245#529—474no—
1246#529—474no—
1247#529—474no—
1248#529—474no—
1249#529—474no—
1250#529C2×D4714yes—
1251#529C2×D4714yes—
1252C2×#125—472no—
1253#525—472no—
1254#525—474no—
1255#525—474no—
1256#525C2×D4712yes—
1257C2×C22⋊Q8—472no—
1258C2×C22⋊Q8—472no—
1259C4×#41—472no—
1260C4×#41—472no—
1261C4×#41—474no—
1262C4×#41—474no—
1263C4×#41—474no—
1264C4×#41—472no—
1265C4×#41—472no—
1266C4×#41—472no—
1267C4×#41—474no—
1268C4×#41C2×D4712yes—
1269C2×C4×Q8—474no—
1270C2×C4×Q8—472no—
1271C2×C4×Q8—472no—
1272C2×C4×Q8—474no—
1273C2×#117—471no—
1274C2×#117C2×D4711yescharacteristic
1275C22×C42—471no—
1276C47#6276111yescharacteristic, complemented, Sylow
1277C2×#41—474no—
1278C2×#41—474no—
1279C2×#41—474no—
1280C2×#41—472no—
1281C2×#41—474no—
1282C2×#41C22×D4712yes—
1283C22×Q8—474no—
1284C22×Q8—472no—
1285C22×Q8—472no—
1286C22×Q8—474no—
1287C23×C4—472no—
1288C23×C4C22×D4711yescharacteristic
1289C4⋊Q8—472no—
1290C4⋊Q8—472no—
1291C4⋊Q8—474no—
1292C4⋊Q8—474no—
1293C4⋊Q8—474no—
1294C4⋊Q8—472no—
1295C4⋊Q8—472no—
1296C4⋊Q8—472no—
1297C4⋊Q8—472no—
1298C4⋊Q8—472no—
1299C4⋊Q8—472no—
1300C4⋊Q8—472no—
1301C4⋊Q8—472no—
1302C4⋊Q8—472no—
1303C4⋊Q8—472no—
1304C4⋊Q8—474no—
1305C4⋊Q8—474no—
1306C4⋊Q8—474no—
1307C4⋊Q8—474no—
1308C4⋊Q8—472no—
1309C4⋊Q8—472no—
1310C4⋊Q8—474no—
1311C4⋊Q8—474no—
1312C4⋊Q8—474no—
1313C4⋊Q8—471no—
1314C4⋊Q8—474no—
1315C4⋊Q8—472no—
1316C4⋊Q8—474no—
1317C4⋊Q8C22×D4711yescharacteristic
1318C4⋊Q8C22×D4712yes—
1319#127—472no—
1320#127—472no—
1321#127—471no—
1322#127C22×D4711yescharacteristic
1323#126—474no—
1324#126—474no—
1325#126—474no—
1326#126—474no—
1327#126—474no—
1328#126—474no—
1329#126—474no—
1330#126—474no—
1331#126—474no—
1332#126—474no—
1333#126—474no—
1334#126—474no—
1335#126—474no—
1336#126—474no—
1337#126—474no—
1338#126—474no—
1339#126—474no—
1340#126—474no—
1341#126—474no—
1342#126—474no—
1343#126—474no—
1344#126—474no—
1345#126—474no—
1346#126—474no—
1347#126—474no—
1348#126—474no—
1349#126—474no—
1350#126—474no—
1351#126C22×D4714yes—
1352#126C22×D4714yes—
1353#126C22×D4714yes—
1354#126C22×D4714yes—
1355#125—472no—
1356#125—472no—
1357#125—472no—
1358#125—472no—
1359#125—472no—
1360#125—472no—
1361#125—472no—
1362#125—472no—
1363#125—474no—
1364#125—472no—
1365#125—472no—
1366#125—474no—
1367#125—474no—
1368#125—474no—
1369#125—474no—
1370#125—474no—
1371#125—474no—
1372#125—474no—
1373#125—474no—
1374#125—474no—
1375#125—474no—
1376#125—474no—
1377#125—474no—
1378#125—474no—
1379#125—474no—
1380#125—474no—
1381#125—474no—
1382#125—474no—
1383#125—474no—
1384#125—474no—
1385#125—474no—
1386#125—474no—
1387#125—474no—
1388#125—472no—
1389#125—472no—
1390#125—474no—
1391#125—474no—
1392#125—474no—
1393#125—471no—
1394#125—471no—
1395#125C22×D4714yes—
1396#125C22×D4714yes—
1397#125C22×D4711yescharacteristic
1398#125C22×D4711yescharacteristic
1399#124—472no—
1400#124—472no—
1401#124—472no—
1402#124—474no—
1403#124—474no—
1404#124—474no—
1405#124—472no—
1406#124—474no—
1407#124—474no—
1408#124—474no—
1409#124—474no—
1410#124—474no—
1411#124—474no—
1412#124—474no—
1413#124—474no—
1414#124—474no—
1415#124—474no—
1416#124—474no—
1417#124—472no—
1418#124C22×D4714yes—
1419#124C22×D4714yes—
1420#124C22×D4712yes—
1421#123—474no—
1422#123—474no—
1423#123—474no—
1424#123—474no—
1425#123—474no—
1426#123—474no—
1427#123—474no—
1428#123—474no—
1429#123—474no—
1430#123—474no—
1431#123—474no—
1432#123—474no—
1433#123—474no—
1434#123—474no—
1435#123—474no—
1436#123—474no—
1437#123—474no—
1438#123—474no—
1439#123—474no—
1440#123—474no—
1441#123—474no—
1442#123—474no—
1443#123—474no—
1444#123—474no—
1445#123—474no—
1446#123—474no—
1447#123—474no—
1448#123—474no—
1449#123—474no—
1450#123C22×D4714yes—
1451#123C22×D4714yes—
1452#123C22×D4714yes—
1453#123C22×D4714yes—
1454#123C22×D4714yes—
1455C22⋊Q8—474no—
1456C22⋊Q8—474no—
1457C22⋊Q8—474no—
1458C22⋊Q8—472no—
1459C22⋊Q8—472no—
1460C22⋊Q8—474no—
1461C22⋊Q8—474no—
1462C22⋊Q8—474no—
1463C22⋊Q8—474no—
1464C22⋊Q8—474no—
1465C22⋊Q8—474no—
1466C22⋊Q8—474no—
1467C22⋊Q8—474no—
1468C22⋊Q8—474no—
1469C22⋊Q8—474no—
1470C22⋊Q8—474no—
1471C22⋊Q8—474no—
1472C22⋊Q8—474no—
1473C22⋊Q8—474no—
1474C22⋊Q8—474no—
1475C22⋊Q8—474no—
1476C22⋊Q8—474no—
1477C22⋊Q8—474no—
1478C22⋊Q8—474no—
1479C22⋊Q8—474no—
1480C22⋊Q8—474no—
1481C22⋊Q8—474no—
1482C22⋊Q8—472no—
1483C22⋊Q8—472no—
1484C22⋊Q8—472no—
1485C22⋊Q8—472no—
1486C22⋊Q8—472no—
1487C22⋊Q8—472no—
1488C22⋊Q8—472no—
1489C22⋊Q8—472no—
1490C22⋊Q8—472no—
1491C22⋊Q8—472no—
1492C22⋊Q8—472no—
1493C22⋊Q8—472no—
1494C22⋊Q8—472no—
1495C22⋊Q8—472no—
1496C22⋊Q8—472no—
1497C22⋊Q8—472no—
1498C22⋊Q8—474no—
1499C22⋊Q8—474no—
1500C22⋊Q8—474no—
1501C22⋊Q8—474no—
1502C22⋊Q8—474no—
1503C22⋊Q8—474no—
1504C22⋊Q8—474no—
1505C22⋊Q8—474no—
1506C22⋊Q8—474no—
1507C22⋊Q8—474no—
1508C22⋊Q8—474no—
1509C22⋊Q8—474no—
1510C22⋊Q8—474no—
1511C22⋊Q8—474no—
1512C22⋊Q8—474no—
1513C22⋊Q8—474no—
1514C22⋊Q8—474no—
1515C22⋊Q8—474no—
1516C22⋊Q8C22×D4712yes—
1517C22⋊Q8C22×D4712yes—
1518C22⋊Q8C22×D4714yes—
1519C22⋊Q8C22×D4714yes—
1520C22⋊Q8C22×D4714yes—
1521#121—474no—
1522#121—474no—
1523#121—474no—
1524#121—474no—
1525#121—474no—
1526#121—474no—
1527#121—474no—
1528#121—474no—
1529#121—474no—
1530#121—474no—
1531#121—474no—
1532#121—474no—
1533#121—474no—
1534#121—472no—
1535#121—472no—
1536#121—474no—
1537#121—474no—
1538#121—474no—
1539#121—474no—
1540#121—474no—
1541#121—474no—
1542#121C22×D4712yes—
1543#121C22×D4712yes—
1544#121C22×D4714yes—
1545#121C22×D4714yes—
1546#121C22×D4714yes—
1547#120—474no—
1548#120C22×D4714yes—
1549C4×Q8—474no—
1550C4×Q8—472no—
1551C4×Q8—472no—
1552C4×Q8—472no—
1553C4×Q8—472no—
1554C4×Q8—474no—
1555C4×Q8—474no—
1556C4×Q8—474no—
1557C4×Q8—474no—
1558C4×Q8—474no—
1559C4×Q8—472no—
1560C4×Q8—472no—
1561C4×Q8—474no—
1562C4×Q8—472no—
1563C4×Q8—472no—
1564C4×Q8—472no—
1565C4×Q8—472no—
1566C4×Q8—474no—
1567C4×Q8—472no—
1568C4×Q8—472no—
1569C4×Q8—472no—
1570C4×Q8—474no—
1571C4×Q8—474no—
1572C4×Q8—472no—
1573C4×Q8—472no—
1574C4×Q8—474no—
1575C4×Q8—472no—
1576C4×Q8—472no—
1577C4×Q8—472no—
1578C4×Q8—472no—
1579C4×Q8—472no—
1580C4×Q8—472no—
1581C4×Q8—472no—
1582C4×Q8—472no—
1583C4×Q8—472no—
1584C4×Q8—474no—
1585C4×Q8—474no—
1586C4×Q8—474no—
1587C4×Q8—474no—
1588C4×Q8—474no—
1589C4×Q8—474no—
1590C4×Q8—472no—
1591C4×Q8—472no—
1592C4×Q8C22×D4714yes—
1593C4×Q8C22×D4712yes—
1594C4×Q8C22×D4712yes—
1595C4×D4—474no—
1596C4×D4—474no—
1597C4×D4—474no—
1598C4×D4—474no—
1599C4×D4—472no—
1600C4×D4—472no—
1601C4×D4—474no—
1602C4×D4—474no—
1603C4×D4—474no—
1604C4×D4—472no—
1605C4×D4—472no—
1606C4×D4—474no—
1607C4×D4—474no—
1608C4×D4—474no—
1609C4×D4—474no—
1610C4×D4—474no—
1611C4×D4—474no—
1612C4×D4—474no—
1613C4×D4—474no—
1614C4×D4—474no—
1615C4×D4—474no—
1616C4×D4—472no—
1617C4×D4—472no—
1618C4×D4—472no—
1619C4×D4—472no—
1620C4×D4—474no—
1621C4×D4—474no—
1622C4×D4—474no—
1623C4×D4—474no—
1624C4×D4—474no—
1625C4×D4—474no—
1626C4×D4—474no—
1627C4×D4—474no—
1628C4×D4—474no—
1629C4×D4—474no—
1630C4×D4—474no—
1631C4×D4—474no—
1632C4×D4—472no—
1633C4×D4—472no—
1634C4×D4C22×D4714yes—
1635C4×D4C22×D4714yes—
1636C4×D4C22×D4714yes—
1637C4×D4C22×D4714yes—
1638C4×D4C22×D4714yes—
1639C4×D4C22×D4712yes—
1640C4×D4C22×D4712yes—
1641#117—471no—
1642#117—471no—
1643#117—472no—
1644#117—471no—
1645#117—472no—
1646#117—471no—
1647#117—472no—
1648#117—474no—
1649#117—474no—
1650#117—474no—
1651#117—474no—
1652#117—474no—
1653#117—474no—
1654#117—474no—
1655#117—474no—
1656#117—474no—
1657#117—474no—
1658#117—474no—
1659#117—474no—
1660#117—474no—
1661#117—474no—
1662#117—474no—
1663#117—474no—
1664#117—474no—
1665#117C22×D4712yes—
1666#117C22×D4712yes—
1667#117C22×D4711yescharacteristic
1668#117C22×D4711yescharacteristic
1669#117C22×D4711yescharacteristic
1670#117C22×D4711yescharacteristic
1671#117C22×D4712yes—
1672#117C22×D4714yes—
1673C2×C4⋊C4—472no—
1674C2×C4⋊C4—472no—
1675C2×C4⋊C4—472no—
1676C2×C4⋊C4—472no—
1677C2×C4⋊C4—472no—
1678C2×C4⋊C4—472no—
1679C2×C4⋊C4—472no—
1680C2×C4⋊C4—474no—
1681C2×C4⋊C4—474no—
1682C2×C4⋊C4—474no—
1683C2×C4⋊C4—474no—
1684C2×C4⋊C4—474no—
1685C2×C4⋊C4—474no—
1686C2×C4⋊C4C22×D4712yes—
1687C2×C22⋊C4—471no—
1688C2×C22⋊C4—471no—
1689C2×C22⋊C4C22×D4712yes—
1690C2×C42—472no—
1691C2×C42—472no—
1692C2×C42—474no—
1693C2×C42—474no—
1694C2×C42—471no—
1695C2×C42—472no—
1696C2×C42—471no—
1697C2×C42—471no—
1698C2×C42—471no—
1699C2×C42—471no—
1700C2×C42—472no—
1701C2×C42—471no—
1702C2×C42—474no—
1703C2×C42—474no—
1704C2×C42—474no—
1705C2×C42C22×D4711yescharacteristic
1706C2×C42C22×D4711yescharacteristic
1707C2×C42C22×D4714yes—
1708C24C23×D4711yescharacteristic
1709#41—28no—
1710#41—948no—
1711#41—1888no—
1712#41—1888no—
1713#41—1888no—
1714#41—1888no—
1715C2×Q8—472no—
1716C2×Q8—472no—
1717C2×Q8—472no—
1718C2×Q8—474no—
1719C2×Q8—472no—
1720C2×Q8—472no—
1721C2×Q8—472no—
1722C2×Q8—472no—
1723C2×Q8—474no—
1724C2×Q8—474no—
1725C2×Q8—472no—
1726C2×Q8—472no—
1727C2×Q8—474no—
1728C2×Q8—474no—
1729C2×Q8—1884no—
1730C2×Q8—1884no—
1731C2×Q8—1888no—
1732C2×Q8—1888no—
1733C2×Q8C23×D4712yes—
1734C2×Q8C23×D4714yes—
1735C2×D4—474no—
1736C2×D4—474no—
1737C2×D4—474no—
1738C2×D4—474no—
1739C2×D4—474no—
1740C2×D4—474no—
1741C2×D4—474no—
1742C2×D4—472no—
1743C2×D4—474no—
1744C2×D4C23×D4714yes—
1745C2×D4C23×D4712yes—
1746C2×D4C23×D4714yes—
1747C2×D4C23×D4714yes—
1748C2×D4C23×D4714yes—
1749C22×C4—24no—
1750C22×C4—472no—
1751C22×C4—472no—
1752C22×C4—472no—
1753C22×C4—474no—
1754C22×C4—472no—
1755C22×C4—472no—
1756C22×C4—472no—
1757C22×C4—472no—
1758C22×C4—472no—
1759C22×C4—474no—
1760C22×C4—474no—
1761C22×C4—474no—
1762C22×C4—474no—
1763C22×C4—474no—
1764C22×C4—474no—
1765C22×C4—474no—
1766C22×C4—474no—
1767C22×C4—474no—
1768C22×C4—474no—
1769C22×C4—1884no—
1770C22×C4C23×D4711yescharacteristic
1771C22×C4C23×D4711yescharacteristic
1772C22×C4C23×D4711yescharacteristic
1773C22×C4C23×D4714yes—
1774C22×C4C23×D4711yescharacteristic
1775C22×C4C23×D4711yescharacteristic
1776C22×C4C23×D4712yes—
1777C22×C4C23×D4712yes—
1778C22×C4C23×D4714yes—
1779C22×C4C23×D4714yes—
1780C22×C4C23×D4711yescharacteristic
1781C4⋊C4—472no—
1782C4⋊C4—472no—
1783C4⋊C4—472no—
1784C4⋊C4—472no—
1785C4⋊C4—474no—
1786C4⋊C4—474no—
1787C4⋊C4—472no—
1788C4⋊C4—472no—
1789C4⋊C4—472no—
1790C4⋊C4—472no—
1791C4⋊C4—472no—
1792C4⋊C4—472no—
1793C4⋊C4—474no—
1794C4⋊C4—474no—
1795C4⋊C4—474no—
1796C4⋊C4—474no—
1797C4⋊C4—472no—
1798C4⋊C4—472no—
1799C4⋊C4—474no—
1800C4⋊C4—474no—
1801C4⋊C4—472no—
1802C4⋊C4—472no—
1803C4⋊C4—472no—
1804C4⋊C4—472no—
1805C4⋊C4—474no—
1806C4⋊C4—474no—
1807C4⋊C4—474no—
1808C4⋊C4—474no—
1809C4⋊C4—474no—
1810C4⋊C4—474no—
1811C4⋊C4—474no—
1812C4⋊C4—474no—
1813C4⋊C4—474no—
1814C4⋊C4—474no—
1815C4⋊C4—474no—
1816C4⋊C4—474no—
1817C4⋊C4—474no—
1818C4⋊C4—474no—
1819C4⋊C4—472no—
1820C4⋊C4—472no—
1821C4⋊C4—474no—
1822C4⋊C4—472no—
1823C4⋊C4—472no—
1824C4⋊C4—472no—
1825C4⋊C4—472no—
1826C4⋊C4—472no—
1827C4⋊C4—472no—
1828C4⋊C4—472no—
1829C4⋊C4—472no—
1830C4⋊C4—474no—
1831C4⋊C4—474no—
1832C4⋊C4—472no—
1833C4⋊C4—472no—
1834C4⋊C4—474no—
1835C4⋊C4—472no—
1836C4⋊C4—472no—
1837C4⋊C4—474no—
1838C4⋊C4—474no—
1839C4⋊C4—474no—
1840C4⋊C4—474no—
1841C4⋊C4—474no—
1842C4⋊C4—474no—
1843C4⋊C4C23×D4714yes—
1844C4⋊C4C23×D4714yes—
1845C4⋊C4C23×D4714yes—
1846C4⋊C4C23×D4712yes—
1847C4⋊C4C23×D4712yes—
1848C4⋊C4C23×D4712yes—
1849C4⋊C4C23×D4712yes—
1850C4⋊C4C23×D4714yes—
1851C4⋊C4C23×D4714yes—
1852C4⋊C4C23×D4714yes—
1853C4⋊C4C23×D4712yes—
1854C4⋊C4C23×D4712yes—
1855C4⋊C4C23×D4714yes—
1856C4⋊C4C23×D4714yes—
1857C22⋊C4—471no—
1858C22⋊C4—471no—
1859C22⋊C4—472no—
1860C22⋊C4—472no—
1861C22⋊C4—471no—
1862C22⋊C4—471no—
1863C22⋊C4—474no—
1864C22⋊C4—474no—
1865C22⋊C4—474no—
1866C22⋊C4—474no—
1867C22⋊C4—474no—
1868C22⋊C4—474no—
1869C22⋊C4—474no—
1870C22⋊C4—474no—
1871C22⋊C4—474no—
1872C22⋊C4—474no—
1873C22⋊C4—474no—
1874C22⋊C4—474no—
1875C22⋊C4—474no—
1876C22⋊C4—474no—
1877C22⋊C4—474no—
1878C22⋊C4—474no—
1879C22⋊C4—474no—
1880C22⋊C4—474no—
1881C22⋊C4—474no—
1882C22⋊C4—474no—
1883C22⋊C4—474no—
1884C22⋊C4—474no—
1885C22⋊C4—474no—
1886C22⋊C4—474no—
1887C22⋊C4—474no—
1888C22⋊C4C23×D4712yes—
1889C22⋊C4C23×D4712yes—
1890C22⋊C4C23×D4712yes—
1891C22⋊C4C23×D4712yes—
1892C22⋊C4C23×D4714yes—
1893C22⋊C4C23×D4714yes—
1894C22⋊C4C23×D4714yes—
1895C22⋊C4C23×D4714yes—
1896C22⋊C4C23×D4714yes—
1897C22⋊C4C23×D4714yes—
1898C22⋊C4C23×D4714yes—
1899C22⋊C4C23×D4714yes—
1900C22⋊C4C23×D4714yes—
1901C42—471no—
1902C42—472no—
1903C42—471no—
1904C42—472no—
1905C42—472no—
1906C42—472no—
1907C42—471no—
1908C42—471no—
1909C42—474no—
1910C42—474no—
1911C42—474no—
1912C42—474no—
1913C42—472no—
1914C42—472no—
1915C42—474no—
1916C42—474no—
1917C42—474no—
1918C42—474no—
1919C42—474no—
1920C42—474no—
1921C42—472no—
1922C42—472no—
1923C42—472no—
1924C42—472no—
1925C42—474no—
1926C42C23×D4714yes—
1927C42C23×D4711yescharacteristic
1928C42C23×D4711yescharacteristic
1929C42C23×D4711yescharacteristic
1930C42C23×D4711yescharacteristic
1931C42C23×D4714yes—
1932C42C23×D4712yes—
1933C42C23×D4714yes—
1934C42C23×D4712yes—
1935C23—22no—
1936C23—42no—
1937C23—474no—
1938C23C24×D4711yescharacteristic
1939C23C24×D4711yescharacteristic
1940C23C24×D4714yes—
1941C23C24×D4711yescharacteristic
1942Q8—24no—
1943Q8—44no—
1944Q8—944no—
1945Q8—944no—
1946Q8—948no—
1947Q8—944no—
1948Q8—944no—
1949Q8—944no—
1950Q8—1882no—
1951Q8—1884no—
1952Q8—1882no—
1953Q8—1884no—
1954Q8—1882no—
1955Q8—1884no—
1956Q8—1882no—
1957Q8—1884no—
1958D4—28no—
1959D4—24no—
1960D4—44no—
1961D4—44no—
1962D4—44no—
1963D4—948no—
1964D4—948no—
1965D4—944no—
1966D4—1884no—
1967D4—1884no—
1968D4—1884no—
1969D4—1884no—
1970D4—1884no—
1971D4—1884no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—28no—
1978C2×C4—42no—
1979C2×C4—44no—
1980C2×C4—42no—
1981C2×C4—44no—
1982C2×C4—472no—
1983C2×C4—472no—
1984C2×C4—474no—
1985C2×C4—472no—
1986C2×C4—472no—
1987C2×C4—472no—
1988C2×C4—474no—
1989C2×C4—474no—
1990C2×C4—472no—
1991C2×C4—472no—
1992C2×C4—472no—
1993C2×C4—948no—
1994C2×C4—944no—
1995C2×C4—944no—
1996C2×C4—944no—
1997C2×C4—948no—
1998C2×C4—948no—
1999C2×C4—1884no—
2000C2×C4—1884no—
2001C2×C4—1884no—
2002C2×C4—1884no—
2003C2×C4—1884no—
2004C2×C4—1882no—
2005C2×C4—1882no—
2006C2×C4—1882no—
2007C2×C4—1882no—
2008C2×C4—1882no—
2009C2×C4—1884no—
2010C2×C4—1884no—
2011C2×C4—1884no—
2012C2×C4#1309407114yes—
2013C2×C4C24×D4714yes—
2014C2×C4C24×D4711yescharacteristic
2015C2×C4C24×D4711yescharacteristic
2016C2×C4C24×D4712yes—
2017C2×C4C24×D4714yes—
2018C2×C4C24×D4714yes—
2019C2×C4C24×D4712yes—
2020C2×C4C24×D4712yes—
2021C2×C4C24×D4712yes—
2022C2×C4C24×D4711yescharacteristic
2023C2×C4C24×D4711yescharacteristic
2024C22—22no—
2025C22—21no—
2026C22—21no—
2027C22—24no—
2028C22—24no—
2029C22—24no—
2030C22—22no—
2031C22—22no—
2032C22—44no—
2033C22—944no—
2034C22—944no—
2035C22—944no—
2036C22C2×#1309407112yes—
2037C22C25×D4711yescharacteristic
2038C4—21no—
2039C4—21no—
2040C4—24no—
2041C4—22no—
2042C4—22no—
2043C4—24no—
2044C4—22no—
2045C4—24no—
2046C4—22no—
2047C4—474no—
2048C4—944no—
2049C4—942no—
2050C4—942no—
2051C4—944no—
2052C4—942no—
2053C4—942no—
2054C4—942no—
2055C4—944no—
2056C4—942no—
2057C4—942no—
2058C4C2×#1309407112yes—
2059C4C2×#1309407112yes—
2060C2—22no—
2061C2—41no—
2062C2—41no—
2063C2—44no—
2064C2—1884no—
2065C2C22×#1309407111yescharacteristic
2066C2#585×D4712yes—
subgroupG/H
centerC2×C4C24×D47
commutator, socle, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC47×#3455C2
hypercenter#3455D47
hypocenterC47#62761
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #20257896C2semidirect
2. #20257893C2semidirect
3. #20257887C2semidirect
4. #20257881C2semidirect
5. #20257874C2semidirect
6. #20257866C2semidirect
7. #20257857C2semidirect
8. #20257849C2semidirect
9. #20257838C2semidirect
10. #20257821C2semidirect
11. #20257796C2semidirect
12. #20257782C2semidirect
13. #20257676C2semidirect
14. #20257668C2semidirect
15. #20257533C2semidirect
16. #20257001C2semidirect
17. #20256985C2semidirect
18. #20256981C2semidirect
19. #41×Dic94C2semidirect
20. #20256966C2semidirect
21. #20256817C2semidirect
22. #20256813C2semidirect
23. #20256778C2semidirect
24. #20256776C2semidirect
25. #20256680C2semidirect
26. C2×#15689676C2semidirect
27. C47×#3455C2semidirect
28. C47⋊#564C22semidirect
29. #15689877C22semidirect
31. #15689876C22semidirect
34. #15689875C22semidirect
35. #15689875C22semidirect
36. #15689874C22semidirect
37. #15689874C22semidirect
40. #15689870C22semidirect
44. #15689859C22semidirect
45. #15689858C22semidirect
46. #15689856C22semidirect
47. #15689856C22semidirect
48. #15689855C22semidirect
49. #15689855C22semidirect
50. Q8×Dic94C22semidirect
51. #15689853C22semidirect
52. #15689852C22semidirect
53. #15689851C22semidirect
54. #15689850C22semidirect
55. #15689850C22semidirect
56. #15689850C22semidirect
57. #15689849C22semidirect
58. #15689849C22semidirect
59. #15689848C22semidirect
60. #15689848C22semidirect
61. #15689847C22semidirect
62. #15689845C22semidirect
63. #15689845C22semidirect
64. #15689843C22semidirect
66. #15689842C22semidirect
67. #15689842C22semidirect
69. #15689840C22semidirect
70. #15689834C22semidirect
73. #15689832C22semidirect
74. #15689832C22semidirect
77. #15689830C22semidirect
78. #15689829C22semidirect
79. #15689829C22semidirect
88. #15689815C22semidirect
89. #15689811C22semidirect
91. #15689810C22semidirect
93. #15689809C22semidirect
94. #15689794C22semidirect
95. #15689793C22semidirect
97. D4×Dic94C22semidirect
98. #15689788C22semidirect
100. #15689786C22semidirect
107. #15689771C22semidirect
108. #15689753C22semidirect
109. #15689752C22semidirect
116. #15689741C22semidirect
121. #15689739C22semidirect
124. #15689736C22semidirect
129. #15689733C22semidirect
130. #15689732C22semidirect
131. #15689732C22semidirect
134. #15689730C22semidirect
135. #15689730C22semidirect
140. #15689722C22semidirect
146. #15689717C22semidirect
148. #15689716C22semidirect
150. #15689714C22semidirect
156. #15689696C22semidirect
158. #15689695C22semidirect
161. #15689680C22semidirect
162. #15689677C22semidirect
163. #15689677C22semidirect
164. #15689677C22semidirect
177. #15689676C22semidirect
178. #15689676C22semidirect
189. #15689657C22semidirect
192. #15689655C22semidirect
199. #15689653C22semidirect
200. #15689653C22semidirect
203. #15689651C22semidirect
204. #15689651C22semidirect
216. C4×#10625350C22semidirect
221. C4×#10625352C22semidirect
224. C2×C4×Dic94C22semidirect
225. C4×Q8×D47C22semidirect
1051. #3455D47semidirect
1276. C47#62761semidirect

Maximal subgroups

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

subgroupindex
#202578962
#202578932
#202578872
#202578812
#202578742
#202578662
#202578572
#202578492
#202578382
#202578212
#202577962
#202577822
#202576762
#202576682
#202575332
#202570012
#202569852
#202569812
#41×Dic942
#202569662
#202568172
#202568132
#202567782
#202567762
#202566802
C2×#156896762
C47×#34552
#6276147