Finite Group Databasebeta

← #27124118

Subgroups — #27124118

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#20257894C211yesmaximal, characteristic, complemented
2#20257890C212yesmaximal, complemented
3#20257881C211yesmaximal, characteristic, complemented
4#20257875C212yesmaximal, complemented
5#20257868C212yesmaximal, complemented
6#20257858C212yesmaximal, complemented
7#20257851C212yesmaximal, complemented
8#20257835C214yesmaximal, complemented
9#20257822C214yesmaximal, complemented
10#20257796C212yesmaximal, complemented
11#20257782C211yesmaximal, characteristic, complemented
12#20257680C214yesmaximal, complemented
13#20257672C214yesmaximal, complemented
14#20257534C214yesmaximal, complemented
15#20257002C214yesmaximal, complemented
16#20256984C212yesmaximal, complemented
17#20256980C212yesmaximal, complemented
18#20256970C212yesmaximal, complemented
19#20256967C212yesmaximal, complemented
20#20256818C214yesmaximal, complemented
21#20256814C214yesmaximal, complemented
22#20256779C211yesmaximal, characteristic, complemented
23#20256775C212yesmaximal, complemented
24#20256772C211yesmaximal, characteristic, complemented
25#20256682C212yesmaximal, complemented
26#533×D47C211yesmaximal, characteristic, complemented
27C47×#3557C211yesmaximal, characteristic, complemented
28C47⋊#564C2214yescomplemented
29#15689877C2214yes—
30#15689875C2214yes—
31#15689875C2214yescomplemented
32#15689875C2214yescomplemented
33#15689875C2214yescomplemented
34#15689874C2214yes—
35#15689874C2214yescomplemented
36#15689872C2214yes—
37#15689872C2214yescomplemented
38#15689870C2214yes—
39#15689870C2214yescomplemented
40#15689869C2214yes—
41#15689869C2214yes—
42#15689867C2214yes—
43#15689858C2212yescomplemented
44#15689856C2212yescomplemented
45#15689856C2212yescomplemented
46#15689855C2212yescomplemented
47#15689855C2212yescomplemented
48Q8×Dic94C2212yescomplemented
49#15689853C2212yescomplemented
50#15689851C2212yescomplemented
51#15689851C2212yescomplemented
52#15689850C2214yescomplemented
53#15689850C2212yescomplemented
54#15689850C2212yescomplemented
55#15689849C2212yescomplemented
56#15689849C2212yescomplemented
57#15689848C2212yescomplemented
58#15689846C2212yescomplemented
59#15689845C2214yes—
60#15689845C2212yescomplemented
61#15689845C2212yescomplemented
62#15689842C2212yescomplemented
63#15689842C2212yescomplemented
64#15689840C2214yes—
65#15689840C2214yescomplemented
66#15689833C2214yes—
67#15689833C2212yescomplemented
68#15689832C2212yescomplemented
69#15689832C2212yescomplemented
70#15689829C2214yes—
71#15689829C2214yes—
72#15689829C2212yescomplemented
73#15689829C2212yescomplemented
74#15689828C2214yes—
75#15689827C2214yes—
76#15689827C2214yes—
77#15689824C2214yes—
78#15689824C2214yes—
79#15689823C2214yes—
80#15689818C2214yes—
81#15689818C2214yes—
82#15689817C2214yes—
83#15689812C2214yescomplemented
84#15689806C2214yes—
85#15689806C2214yescomplemented
86#15689805C2214yes—
87#15689805C2214yescomplemented
88#15689794C2212yescomplemented
89#15689793C2212yescomplemented
90D4×Dic94C2212yescomplemented
91#15689788C2214yes—
92#15689788C2212yescomplemented
93#15689786C2214yes—
94#15689786C2214yescomplemented
95#15689783C2214yes—
96#15689783C2214yes—
97#15689782C2214yes—
98#15689781C2214yes—
99#15689774C2214yes—
100#15689771C2214yes—
101#15689771C2214yescomplemented
102#15689752C2214yescomplemented
103#15689750C2214yescomplemented
104#15689747C2212yes—
105#15689746C2212yes—
106#15689745C2212yes—
107#15689744C2212yes—
108#15689743C2214yes—
109#15689743C2214yescomplemented
110#15689742C2212yes—
111#15689741C2214yes—
112#15689741C2214yes—
113#15689740C2212yes—
114#15689738C2212yes—
115#15689738C2214yes—
116#15689737C2214yes—
117#15689737C2214yescomplemented
118#15689736C2211yescharacteristic
119#15689735C2211yescharacteristic
120#15689735C2214yescomplemented
121#15689734C2211yescharacteristic
122#15689733C2212yes—
123#15689732C2214yescomplemented
124#15689732C2214yescomplemented
125#15689731C2212yes—
126#15689731C2214yescomplemented
127#15689730C2214yes—
128#15689730C2214yes—
129#15689730C2214yescomplemented
130#15689730C2214yescomplemented
131#15689729C2211yescharacteristic
132#15689728C2211yescharacteristic
133#15689727C2211yescharacteristic
134#15689726C2212yes—
135#15689724C2212yes—
136#15689721C2214yes—
137#15689720C2214yescomplemented
138#15689719C2214yes—
139#15689719C2214yes—
140#15689719C2214yescomplemented
141#15689716C2214yes—
142#15689716C2214yes—
143#15689716C2214yescomplemented
144#15689715C2214yes—
145#15689715C2214yescomplemented
146#15689714C2214yes—
147#15689712C2214yes—
148#15689709C2214yes—
149#15689707C2214yes—
150#15689705C2214yes—
151#15689702C2214yes—
152#15689700C2214yes—
153#15689696C2214yescomplemented
154#15689695C2214yes—
155#15689695C2214yescomplemented
156#15689693C2214yes—
157#15689680C2211yescharacteristic
158#15689679C2211yescharacteristic
159#15689679C2211yescharacteristic
160#15689679C2212yes—
161#15689679C2212yes—
162#15689679C2214yescomplemented
163#15689679C2214yescomplemented
164#15689678C2212yes—
165#15689678C2212yes—
166#15689678C2214yescomplemented
167#15689677C2212yes—
168#15689677C2212yes—
169#15689677C2212yes—
170#15689676C2211yescharacteristic
171#15689676C2211yescharacteristic
172#15689675C2212yes—
173#15689675C2212yes—
174#15689675C2212yes—
175#15689675C2214yescomplemented
176#15689675C2214yescomplemented
177#15689675C2214yescomplemented
178#15689674C2211yescharacteristic
179#15689672C2212yes—
180#15689672C2212yes—
181#15689671C2211yescharacteristic
182#15689670C2212yes—
183#15689668C2212yes—
184C4⋊Q8×D47C2212yes—
185#15689659C2214yes—
186#15689659C2214yescomplemented
187#15689658C2214yes—
188#15689658C2212yes—
189#15689657C2212yes—
190#15689656C2214yes—
191#15689656C2214yes—
192#15689656C2214yes—
193#15689656C2214yes—
194#15689656C2214yescomplemented
195#15689656C2214yescomplemented
196#15689654C2214yes—
197#15689652C2214yes—
198#15689652C2212yes—
199#15689652C2214yescomplemented
200#15689651C2214yes—
201#15689650C2214yes—
202#15689650C2214yes—
203#15689650C2214yes—
204#15689650C2214yescomplemented
205#15689650C2214yescomplemented
206#125×D47C2212yes—
207#15689636C2212yes—
208#15689633C2212yes—
209#15689632C2214yes—
210#15689631C2214yes—
211C22⋊Q8×D47C2212yes—
212C22⋊Q8×D47C2212yes—
213C4×#10625354C2212yes—
214C4×#10625354C2212yes—
215C4×#10625354C2212yes—
216#15689591C2214yes—
217#15689591C2214yescomplemented
218C4×#10625352C2212yes—
219C4×#10625352C2212yes—
220C4×#10625352C2214yes—
221C4×#10625352C2212yes—
222C4×#10625352C2214yescomplemented
223C2×#13093989C2214yescomplemented
224C4×Q8×D47C2212yes—
225C4×Q8×D47C2212yes—
226C4×Q8×D47C2214yescomplemented
227#117×D47C2211yescharacteristic
228#117×D47C2211yescharacteristic
229C2×C42×D47C2211yescharacteristic
230C47×#563C2214yescomplemented
231C47×#559C2212yescomplemented
232C47×#557C2212yescomplemented
233C47×#556C2212yescomplemented
234C47×#554C2212yescomplemented
235C47×#552C2214yescomplemented
236C47×#542C2212yes—
237C47×#542C2214yes—
238C47×#541C2211yescharacteristic
239C47×#540C2211yescharacteristic
240C47×#539C2214yes—
241C47×#533C2211yescharacteristic
242C47×#529C2212yes—
243C2×#10625354C2312yes—
244C2×#10625350C2314yes—
245C2×#10625350C2314yes—
246C2×#10625352C2312yes—
247C2×#10625352C2314yes—
248C2×#10625352C2314yes—
249C22×Dic94C2314yes—
250C2×Q8×D47C2312yes—
251C2×Q8×D47C2312yes—
252C2×Q8×D47C2314yes—
253C22×C4×D47C2311yescharacteristic
254C22×C4×D47C2312yes—
255#13094024C2311yescharacteristic
256#13094024C2314yes—
257#13094024C2312yes—
258#13094024C2312yes—
259#13094023C2314yes—
260#13094023C2314yes—
261#13094023C2312yes—
262#13094023C2314yes—
263#13094023C2312yes—
264#13094023C2314yes—
265#13094023C2312yes—
266#13094023C2314yes—
267#13094023C2314yes—
268#13094023C2314yes—
269#13094023C2312yes—
270#13094023C2312yes—
271#13094023C2312yes—
272#13094023C2312yes—
273#13094023C2312yes—
274#13094022C2312yes—
275#13094022C2314yes—
276#13094022C2314yes—
277#13094022C2312yes—
278#13094022C2314yes—
279#13094022C2312yes—
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#13094019C2314yes—
295#13094018C2314yes—
296#13094018C2314yes—
297#13094018C2314yes—
298#13094018C2314yes—
299#13094018C2314yes—
300#13094017C2314yes—
301#13094017C2314yes—
302#13094017C2314yes—
303#13094017C2314yes—
304#13094017C2314yes—
305#13094017C2314yes—
306#13094017C2314yes—
307#13094017C2314yes—
308#13094017C2314yes—
309#13094017C2314yes—
310#13094017C2314yes—
311#13094016C2311yescharacteristic
312#13094016C2314yes—
313#13094016C2314yes—
314#13094016C2314yes—
315#13094016C2314yes—
316#13094016C2311yescharacteristic
317#13094016C2312yes—
318#13094016C2312yes—
319#13094015C2314yes—
320#13094015C2314yes—
321#13094015C2314yes—
322#13094015C2312yes—
323#13094015C2314yes—
324#13094015C2314yes—
325#13094015C2312yes—
326#13094015C2312yes—
327#13094015C2312yes—
328#13094014C2314yes—
329#13094014C2314yes—
330#13094014C2314yes—
331#13094014C2314yes—
332#13094014C2314yes—
333#13094014C2314yes—
334#13094014C2314yes—
335#13094014C2312yes—
336#13094014C2314yes—
337#13094014C2314yes—
338#13094014C2314yes—
339#13094014C2312yes—
340#13094014C2314yes—
341#13094014C2312yes—
342#13094014C2314yes—
343#13094014C2314yes—
344#13094014C2314yes—
345#13094014C2312yes—
346#13094014C2314yes—
347#13094014C2314yes—
348#13094013C2314yes—
349#13094013C2312yes—
350#13094013C2314yes—
351#13094012C2312yes—
352#13094012C2314yes—
353#13094012C2312yes—
354#13094011C2314yes—
355#13094011C2312yes—
356#13094010C2314yes—
357#13094010C2314yes—
358#13094010C2314yes—
359#13094010C2314yes—
360#13094010C2314yes—
361#13094010C2314yes—
362#13094010C2314yes—
363#13094010C2314yes—
364#13094010C2314yes—
365#13094010C2314yes—
366#13094009C2314yes—
367#13094009C2314yes—
368#13094009C2314yes—
369#13094009C2314yes—
370#13094009C2314yes—
371#13094009C2314yes—
372#13094009C2314yes—
373#13094009C2314yes—
374#13094008C2314yes—
375#13094008C2314yes—
376#13094008C2314yes—
377#13094008C2314yes—
378#13094007C2314yes—
379#13094007C2314yes—
380#13094007C2314yes—
381#13094007C2314yes—
382#13094007C2314yes—
383#13094006C2314yes—
384#13094006C2314yes—
385#13094006C2314yes—
386#13094006C2314yes—
387#13094006C2314yes—
388#13094006C2314yes—
389#13094006C2314yes—
390#13094006C2314yes—
391#13094006C2314yes—
392#13094006C2314yes—
393#13094005C2314yes—
394#13094005C2314yes—
395#13094004C2312yes—
396#13094004C2314yes—
397#13094004C2314yes—
398#13094004C2314yes—
399#13094004C2314yes—
400#13094004C2312yes—
401#13094004C2312yes—
402#13094003C2312yes—
403#13094003C2314yes—
404#13094003C2314yes—
405#13094003C2312yes—
406#13094003C2314yes—
407#13094003C2312yes—
408#13094003C2314yes—
409#13094002C2314yes—
410#13094002C2314yes—
411#13094002C2314yes—
412#13094002C2314yes—
413#13094002C2314yes—
414#13094002C2314yes—
415#13094002C2314yes—
416#13094002C2314yes—
417#13094002C2314yes—
418#13094002C2314yes—
419#13094002C2314yes—
420#13094002C2314yes—
421#13094002C2312yes—
422#13094002C2312yes—
423#13094002C2312yes—
424#13094002C2312yes—
425#13094002C2314yes—
426#13094002C2314yes—
427#13094002C2314yes—
428#13094002C2314yes—
429#13094002C2314yes—
430#13094001C2312yes—
431#13094001C2312yes—
432#13094001C2314yes—
433#13094001C2314yes—
434#13094001C2314yes—
435#13094001C2314yes—
436#13094001C2314yes—
437#13094001C2312yes—
438#13094001C2314yes—
439#13094001C2314yes—
440#13094001C2314yes—
441#13094001C2314yes—
442#13094001C2312yes—
443#13094001C2314yes—
444#13094001C2314yes—
445#13094000C2312yes—
446#13094000C2314yes—
447#13094000C2314yes—
448#13094000C2314yes—
449#13094000C2314yes—
450#13094000C2314yes—
451#13094000C2312yes—
452#13094000C2312yes—
453#13093999C2312yes—
454#13093999C2314yes—
455#13093999C2314yes—
456#13093998C2312yes—
457#13093998C2314yes—
458#13093998C2314yes—
459#13093997C2314yes—
460#13093997C2314yes—
461#13093997C2314yes—
462#13093997C2314yes—
463#13093997C2314yes—
464#13093997C2314yes—
465#13093997C2314yes—
466#13093997C2314yes—
467#13093997C2314yes—
468#13093996C2314yes—
469#13093996C2314yes—
470#13093996C2314yes—
471#13093996C2314yes—
472#13093996C2314yes—
473#13093995C2312yes—
474#13093995C2314yes—
475#13093995C2314yes—
476#13093995C2314yes—
477#13093994C2314yes—
478#13093992C2314yes—
479Q8×Dic47C2312yes—
480Q8×Dic47C2312yes—
481Q8×Dic47C2312yes—
482Q8×Dic47C2312yes—
483Q8×Dic47C2314yes—
484Q8×Dic47C2312yes—
485C4×Dic94C2314yes—
486C4×Dic94C2314yes—
487C4×Dic94C2314yes—
488C4×Dic94C2314yes—
489C4×Dic94C2312yes—
490C4×Dic94C2312yes—
491C4×Dic94C2314yes—
492C4×Dic94C2312yes—
493C4×Dic94C2312yes—
494C4×Dic94C2312yes—
495C4×Dic94C2312yes—
496C4×Dic94C2312yes—
497C4×Dic94C2312yes—
498C4×Dic94C2312yes—
499#13093989C2314yes—
500#13093989C2314yes—
501#13093989C2314yes—
502#13093989C2314yes—
503#13093989C2314yes—
504#13093989C2312yes—
505#13093989C2312yes—
506#13093989C2314yes—
507#13093989C2312yes—
508#13093989C2312yes—
509#13093989C2312yes—
510#13093989C2312yes—
511#13093989C2312yes—
512#13093989C2312yes—
513#13093989C2314yes—
514#13093989C2314yes—
515#13093989C2314yes—
516#13093989C2314yes—
517#13093989C2312yes—
518#13093989C2314yes—
519C4×D188C2312yes—
520C4×D188C2312yes—
521C4×D188C2314yes—
522C4×D188C2314yes—
523C4×D188C2314yes—
524C4×D188C2312yes—
525D4×Dic47C2312yes—
526D4×Dic47C2312yes—
527D4×Dic47C2312yes—
528D4×Dic47C2314yes—
529D4×Dic47C2314yes—
530#13093986C2312yes—
531#13093986C2312yes—
532#13093986C2314yes—
533#13093986C2314yes—
534#13093986C2314yes—
535#13093986C2314yes—
536#13093986C2314yes—
537#13093986C2312yes—
538#13093986C2314yes—
539#13093986C2314yes—
540C4×C22⋊D47C2314yes—
541C4×C22⋊D47C2314yes—
542C4×C22⋊D47C2314yes—
543C4×C22⋊D47C2314yes—
544C4×C22⋊D47C2314yes—
545C4×C22⋊D47C2314yes—
546C4×C22⋊D47C2314yes—
547(C22⋊D47)⋊C4C2314yes—
548(C22⋊D47)⋊C4C2314yes—
549(C22⋊D47)⋊C4C2314yes—
550(C22⋊D47)⋊C4C2314yes—
551(C22⋊D47)⋊C4C2314yes—
552(C22⋊D47)⋊C4C2314yes—
553(C22⋊D47)⋊C4C2314yes—
554(C22⋊D47)⋊C4C2314yes—
555(C22⋊D47)⋊C4C2314yes—
556(C22⋊D47)⋊C4C2314yes—
557(C22⋊D47)⋊C4C2314yes—
558(C22⋊D47)⋊C4C2314yes—
559(C22⋊D47)⋊C4C2314yes—
560#13093983C2311yescharacteristic
561#13093983C2311yescharacteristic
562#13093982C2314yes—
563#13093982C2314yes—
564#13093982C2312yes—
565#13093982C2312yes—
566#13093982C2312yes—
567#13093982C2312yes—
568#13093982C2314yes—
569#13093982C2314yes—
570#13093982C2314yes—
571#13093981C2311yescharacteristic
572#13093981C2312yes—
573#13093981C2314yes—
574#13093981C2311yescharacteristic
575#13093981C2314yes—
576#13093981C2314yes—
577#13093981C2314yes—
578#13093980C2314yes—
579#13093980C2314yes—
580#13093980C2314yes—
581#13093980C2314yes—
582#13093980C2311yescharacteristic
583#13093980C2311yescharacteristic
584#13093980C2312yes—
585#13093980C2314yes—
586#13093980C2314yes—
587#13093980C2314yes—
588C2×Dic47⋊C4C2314yes—
589C2×Dic47⋊C4C2314yes—
590C4⋊C4×D47C2314yes—
591C4⋊C4×D47C2314yes—
592C4⋊C4×D47C2314yes—
593C4⋊C4×D47C2312yes—
594C4⋊C4×D47C2312yes—
595C4⋊C4×D47C2312yes—
596C4⋊C4×D47C2312yes—
597C4⋊C4×D47C2312yes—
598C4⋊C4×D47C2312yes—
599C4⋊C4×D47C2312yes—
600C4⋊C4×D47C2312yes—
601C22⋊C4×D47C2312yes—
602C22⋊C4×D47C2311yescharacteristic
603C22⋊C4×D47C2311yescharacteristic
604C2×C4×Dic47C2312yes—
605C2×C4×Dic47C2311yescharacteristic
606C2×C4×Dic47C2314yes—
607C2×C4×Dic47C2314yes—
608C2×C4×Dic47C2314yes—
609C42×D47C2312yes—
610C42×D47C2311yescharacteristic
611C42×D47C2311yescharacteristic
612C42×D47C2312yes—
613C42×D47C2311yescharacteristic
614C42×D47C2311yescharacteristic
615C42×D47C2311yescharacteristic
616C42×D47C2312yes—
617C42×D47C2311yescharacteristic
618C42×D47C2314yes—
619C42×D47C2314yes—
620C42×D47C2314yes—
621C4⋊Q8×C47C2311yescharacteristic
622C4⋊Q8×C47C2312yes—
623C4⋊Q8×C47C2314yes—
624C4⋊Q8×C47C2312yes—
625#127×C47C2311yescharacteristic
626#126×C47C2314yes—
627#126×C47C2314yes—
628#126×C47C2314yes—
629#126×C47C2314yes—
630#126×C47C2314yes—
631#125×C47C2311yescharacteristic
632#125×C47C2314yes—
633#125×C47C2314yes—
634#125×C47C2311yescharacteristic
635#125×C47C2312yes—
636#125×C47C2312yes—
637#125×C47C2314yes—
638#124×C47C2314yes—
639#124×C47C2314yes—
640#124×C47C2312yes—
641#124×C47C2312yes—
642#123×C47C2314yes—
643#123×C47C2314yes—
644#123×C47C2314yes—
645#123×C47C2314yes—
646#123×C47C2314yes—
647C22⋊Q8×C47C2312yes—
648C22⋊Q8×C47C2312yes—
649C22⋊Q8×C47C2314yes—
650C22⋊Q8×C47C2314yes—
651C22⋊Q8×C47C2314yes—
652C22⋊Q8×C47C2314yes—
653C22⋊Q8×C47C2312yes—
654C22⋊Q8×C47C2314yes—
655#121×C47C2312yes—
656#121×C47C2314yes—
657C4×Q8×C47C2312yes—
658C4×Q8×C47C2314yes—
659C4×Q8×C47C2312yes—
660C4×Q8×C47C2312yes—
661C4×Q8×C47C2312yes—
662C4×Q8×C47C2312yes—
663C4×D4×C47C2312yes—
664C4×D4×C47C2314yes—
665C4×D4×C47C2314yes—
666C4×D4×C47C2312yes—
667C4×D4×C47C2312yes—
668#117×C47C2311yescharacteristic
669#117×C47C2314yes—
670#117×C47C2311yescharacteristic
671#117×C47C2314yes—
672C2×C4⋊C4×C47C2314yes—
673C2×C42×C47C2311yescharacteristic
674C23×D47C2411yescharacteristic
675C2×Q8×C47C2412yes—
676C2×Q8×C47C2412yes—
677C2×Q8×C47C2414yes—
678C2×Q8×C47C2412yes—
679C2×D4×C47C2412yes—
680C2×D4×C47C2414yes—
681C2×D4×C47C2414yes—
682C22×C4×C47C2411yescharacteristic
683C22×C4×C47C2412yes—
684C22×C4×C47C2414yes—
685C22×C4×C47C2414yes—
686C22×C4×C47C2414yes—
687C2×C22⋊D47C2414yes—
688C2×C22⋊D47C2414yes—
689C2×C22⋊D47C2414yes—
690C2×C22⋊D47C2414yes—
691C2×C22⋊D47C2414yes—
692C2×C22⋊D47C2414yes—
693C2×C22⋊D47C2414yes—
694C22×Dic47C2414yes—
695C22×Dic47C2411yescharacteristic
696C22×Dic47C2412yes—
697C22×Dic47C2414yes—
698C22×Dic47C2414yes—
699C22×Dic47C2414yes—
700#10625354—28no—
701Q8×D47—44no—
702Q8×D47—48no—
703Q8×D47—44no—
704#10625352—28no—
705#10625352—48no—
706#10625352—48no—
707#10625350—48no—
708#10625350—48no—
709C2×D188C2414yes—
710C2×D188C2412yes—
711C2×D188C2414yes—
712C2×D188C2414yes—
713C2×C4×D47—24no—
714C2×C4×D47—44no—
715C2×C4×D47C2414yes—
716C2×C4×D47C2411yescharacteristic
717C2×C4×D47C2412yes—
718C2×C4×D47C2411yescharacteristic
719C2×C4×D47C2412yes—
720C2×C4×D47C2411yescharacteristic
721C2×C4×D47C2414yes—
722C2×C4×D47C2412yes—
723C2×C4×D47C2412yes—
724C2×C4×D47C2412yes—
725C2×C4×D47C2412yes—
726C2×C4×D47C2412yes—
727C2×C4×D47C2412yes—
728C2×C4×D47C2414yes—
729C2×C4×D47C2414yes—
730C2×C4×D47C2414yes—
731C2×C4×D47C2414yes—
732C2×C4×D47C2414yes—
733C2×C4×D47C2411yescharacteristic
734C2×Dic94—48no—
735C2×Dic94C2412yes—
736C2×Dic94C2412yes—
737C2×Dic94C2414yes—
738C2×Dic94C2412yes—
739C2×Dic94C2412yes—
740C2×Dic94C2412yes—
741C2×Dic94C2414yes—
742C2×Dic94C2414yes—
743C2×Dic94C2412yes—
744C2×Dic94C2412yes—
745C2×Dic94C2414yes—
746C2×Dic94C2414yes—
747C4⋊C4×C47C2412yes—
748C4⋊C4×C47C2414yes—
749C4⋊C4×C47C2414yes—
750C4⋊C4×C47C2414yes—
751C4⋊C4×C47C2412yes—
752C4⋊C4×C47C2414yes—
753C4⋊C4×C47C2412yes—
754C4⋊C4×C47C2414yes—
755C4⋊C4×C47C2412yes—
756C4⋊C4×C47C2412yes—
757C4⋊C4×C47C2412yes—
758C4⋊C4×C47C2412yes—
759C4⋊C4×C47C2414yes—
760C4⋊C4×C47C2412yes—
761C4⋊C4×C47C2414yes—
762C4⋊C4×C47C2412yes—
763C4⋊C4×C47C2414yes—
764C4⋊C4×C47C2412yes—
765C4⋊C4×C47C2414yes—
766C4⋊C4×C47C2414yes—
767C22⋊C4×C47C2414yes—
768C22⋊C4×C47C2412yes—
769C22⋊C4×C47C2414yes—
770C22⋊C4×C47C2411yescharacteristic
771C22⋊C4×C47C2411yescharacteristic
772C22⋊C4×C47C2414yes—
773C22⋊C4×C47C2414yes—
774C22⋊C4×C47C2414yes—
775C22⋊C4×C47C2414yes—
776C22⋊C4×C47C2414yes—
777C22⋊C4×C47C2414yes—
778C22⋊C4×C47C2414yes—
779C42×C47C2411yescharacteristic
780C42×C47C2412yes—
781C42×C47C2411yescharacteristic
782C42×C47C2414yes—
783C42×C47C2411yescharacteristic
784C42×C47C2412yes—
785C42×C47C2411yescharacteristic
786C42×C47C2414yes—
787C42×C47C2414yes—
788C22⋊Dic47C2411yescharacteristic
789C22⋊Dic47C2411yescharacteristic
790C22⋊Dic47C2412yes—
791C22⋊Dic47C2414yes—
792C22⋊Dic47C2414yes—
793C22⋊Dic47C2414yes—
794C22⋊Dic47C2414yes—
795C22⋊Dic47C2414yes—
796C22⋊Dic47C2414yes—
797C22⋊Dic47C2414yes—
798(C2×D47)⋊C4C2412yes—
799(C2×D47)⋊C4C2412yes—
800(C2×D47)⋊C4C2412yes—
801(C2×D47)⋊C4C2412yes—
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—
814(C2×D47)⋊C4C2414yes—
815(C2×D47)⋊C4C2414yes—
816(C2×D47)⋊C4C2414yes—
817(C2×D47)⋊C4C2414yes—
818(C2×D47)⋊C4C2414yes—
819(C2×D47)⋊C4C2414yes—
820C4⋊Dic47C2412yes—
821C4⋊Dic47C2412yes—
822C4⋊Dic47C2412yes—
823C4⋊Dic47C2414yes—
824C4⋊Dic47C2412yes—
825C4⋊Dic47C2414yes—
826C4⋊Dic47C2414yes—
827C4⋊Dic47C2412yes—
828C4⋊Dic47C2412yes—
829C4⋊Dic47C2412yes—
830C4⋊Dic47C2412yes—
831C4⋊Dic47C2412yes—
832C4⋊Dic47C2412yes—
833C4⋊Dic47C2414yes—
834C4⋊Dic47C2414yes—
835C4⋊Dic47C2414yes—
836C4⋊Dic47C2414yes—
837C4⋊Dic47C2414yes—
838Dic47⋊C4C2412yes—
839Dic47⋊C4C2412yes—
840Dic47⋊C4C2412yes—
841Dic47⋊C4C2412yes—
842Dic47⋊C4C2414yes—
843Dic47⋊C4C2414yes—
844Dic47⋊C4C2412yes—
845Dic47⋊C4C2412yes—
846Dic47⋊C4C2412yes—
847Dic47⋊C4C2412yes—
848Dic47⋊C4C2412yes—
849Dic47⋊C4C2412yes—
850Dic47⋊C4C2412yes—
851Dic47⋊C4C2412yes—
852Dic47⋊C4C2412yes—
853Dic47⋊C4C2414yes—
854Dic47⋊C4C2412yes—
855Dic47⋊C4C2412yes—
856Dic47⋊C4C2412yes—
857Dic47⋊C4C2414yes—
858Dic47⋊C4C2414yes—
859Dic47⋊C4C2414yes—
860Dic47⋊C4C2414yes—
861Dic47⋊C4C2414yes—
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×Dic47C2412yes—
879C4×Dic47C2412yes—
880C4×Dic47C2412yes—
881C4×Dic47C2414yes—
882C4×Dic47C2411yescharacteristic
883C4×Dic47C2412yes—
884C4×Dic47C2412yes—
885C4×Dic47C2411yescharacteristic
886C4×Dic47C2412yes—
887C4×Dic47C2414yes—
888C4×Dic47C2412yes—
889C4×Dic47C2414yes—
890C4×Dic47C2414yes—
891C4×Dic47C2411yescharacteristic
892C4×Dic47C2412yes—
893C4×Dic47C2411yescharacteristic
894C4×Dic47C2414yes—
895C4×Dic47C2414yes—
896C4×Dic47C2414yes—
897C4×Dic47C2414yes—
898C4×Dic47C2414yes—
899C4×Dic47C2414yes—
900C4×Dic47C2414yes—
901C23×C47C2511yescharacteristic
902C23×C47C2514yes—
903C22×D47—22no—
904C22×D47—42no—
905C22×D47C2511yescharacteristic
906C22×D47C2514yes—
907C22×D47C2511yescharacteristic
908Q8×C47—24no—
909Q8×C47—42no—
910Q8×C47—44no—
911Q8×C47—42no—
912D4×C47—24no—
913D4×C47—44no—
914D4×C47—44no—
915C2×C4×C47—22no—
916C2×C4×C47—44no—
917C2×C4×C47—42no—
918C2×C4×C47—44no—
919C2×C4×C47—44no—
920C2×C4×C47C2512yes—
921C2×C4×C47C2512yes—
922C2×C4×C47C2514yes—
923C2×C4×C47C2514yes—
924C2×C4×C47C2512yes—
925C2×C4×C47C2511yescharacteristic
926C2×C4×C47C2512yes—
927C2×C4×C47C2514yes—
928C2×C4×C47C2512yes—
929C2×C4×C47C2512yes—
930C2×C4×C47C2511yescharacteristic
931C22⋊D47—28no—
932C22⋊D47—28no—
933C22⋊D47—44no—
934C22⋊D47—44no—
935C22⋊D47—44no—
936C22⋊D47—44no—
937C22⋊D47—44no—
938C2×Dic47—22no—
939C2×Dic47—28no—
940C2×Dic47—28no—
941C2×Dic47—24no—
942C2×Dic47—44no—
943C2×Dic47—44no—
944C2×Dic47C2514yes—
945C2×Dic47C2511yescharacteristic
946C2×Dic47C2512yes—
947C2×Dic47C2512yes—
948C2×Dic47C2514yes—
949C2×Dic47C2512yes—
950C2×Dic47C2514yes—
951C2×Dic47C2512yes—
952C2×Dic47C2512yes—
953C2×Dic47C2511yescharacteristic
954C2×Dic47C2512yes—
955D188—28no—
956D188—24no—
957D188—44no—
958D188—44no—
959C4×D47—22no—
960C4×D47—22no—
961C4×D47—22no—
962C4×D47—28no—
963C4×D47—24no—
964C4×D47—24no—
965C4×D47—28no—
966C4×D47—42no—
967C4×D47—42no—
968C4×D47—44no—
969C4×D47—44no—
970C4×D47—44no—
971C4×D47—44no—
972C4×D47—42no—
973C4×D47—42no—
974C4×D47—44no—
975C4×D47—42no—
976C4×D47—42no—
977C4×D472−1+414yes—
978Dic94—24no—
979Dic94—24no—
980Dic94—28no—
981Dic94—24no—
982Dic94—24no—
983Dic94—24no—
984Dic94—44no—
985Dic94—44no—
986Dic94—44no—
987Dic94—44no—
988Dic94—42no—
989Dic94—42no—
990#62761—471nomaximal, Sylow
991C22×C47—24no—
992C22×C47—21no—
993C22×C47—24no—
994C22×C47—22no—
995C22×C47—24no—
996C22×C47C2611yescharacteristic
997C2×D47—22no—
998C2×D47—21no—
999C2×D47—24no—
1000C2×D47—24no—
1001C2×D47—22no—
1002C2×D47—24no—
1003C2×D47—44no—
1004C2×D47C2×2−1+412yes—
1005C4×C47—21no—
1006C4×C47—24no—
1007C4×C47—22no—
1008C4×C47—24no—
1009C4×C47—22no—
1010C4×C47—22no—
1011C4×C47—22no—
1012C4×C47—24no—
1013C4×C47—22no—
1014C4×C47—22no—
1015C4×C47C2×2−1+412yes—
1016Dic47—24no—
1017Dic47—21no—
1018Dic47—22no—
1019Dic47—22no—
1020Dic47—24no—
1021Dic47—22no—
1022Dic47—22no—
1023Dic47—24no—
1024Dic47—22no—
1025Dic47C2×2−1+412yes—
1026Dic47#58514yes—
1027#3557—471no—
1028#3557—472no—
1029#3557D4711yescharacteristic, complemented
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#3455—471no—
1052#3444—472no—
1053C2×#533—471no—
1054C2×C47—41no—
1055C2×C47—44no—
1056C2×C47C22×2−1+411yescharacteristic
1057C2×C47C2×#58512yes—
1058D47—22no—
1059D47—44no—
1060D47—41no—
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#563C2×D4714yescomplemented
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#559C2×D4712yescomplemented
1083Q82—472no—
1084Q82—472no—
1085#557—472no—
1086#557—472no—
1087#557—472no—
1088#557—474no—
1089#557—472no—
1090#557—472no—
1091#557—472no—
1092#557—472no—
1093#557C2×D4712yescomplemented
1094#556—474no—
1095#556—474no—
1096#556—472no—
1097#556—472no—
1098#556—474no—
1099#556—472no—
1100#556—472no—
1101#556—472no—
1102#556C2×D4712yescomplemented
1103#554—474no—
1104#554—474no—
1105#554—472no—
1106#554—472no—
1107#554—474no—
1108#554—474no—
1109#554—474no—
1110#554—472no—
1111#554—472no—
1112#554—472no—
1113#554—474no—
1114#554C2×D4712yescomplemented
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#552C2×D4714yescomplemented
1127#550—472no—
1128#550—472no—
1129D4×Q8—474no—
1130D4×Q8—472no—
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—472no—
1144#542—474no—
1145#542—474no—
1146#542—472no—
1147#542—474no—
1148#542—474no—
1149#542—474no—
1150#542—474no—
1151#542—472no—
1152#542—472no—
1153#542—472no—
1154#542—472no—
1155#542—474no—
1156#542—472no—
1157#542C2×D4712yes—
1158#542C2×D4714yes—
1159#541—471no—
1160#541—474no—
1161#541—474no—
1162#541—474no—
1163#541—474no—
1164#541—474no—
1165#541—474no—
1166#541—471no—
1167#541—472no—
1168#541—472no—
1169#541—474no—
1170#541—471no—
1171#541—474no—
1172#541C2×D4711yescharacteristic
1173#540—471no—
1174#540—471no—
1175#540—472no—
1176#540—472no—
1177#540—471no—
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#538—474no—
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—472no—
1205#533—472no—
1206#533—471no—
1207#533—471no—
1208#533—474no—
1209#533—474no—
1210#533—472no—
1211#533—472no—
1212#533—472no—
1213#533—474no—
1214#533—474no—
1215#533—474no—
1216#533—472no—
1217#533—472no—
1218#533—472no—
1219#533—471no—
1220#533—471no—
1221#533—471no—
1222#533C2×D4711yescharacteristic
1223#532—471no—
1224#532—471no—
1225#532—472no—
1226#532—472no—
1227#532—472no—
1228#532—472no—
1229C2×C4⋊Q8—472no—
1230#529—474no—
1231#529—474no—
1232#529—474no—
1233#529—474no—
1234#529—474no—
1235#529—474no—
1236#529—472no—
1237#529—474no—
1238#529—472no—
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#529—472no—
1251#529C2×D4712yes—
1252C2×#125—472no—
1253#525—474no—
1254#525—472no—
1255#525—472no—
1256#525—474no—
1257C2×C22⋊Q8—472no—
1258C2×C22⋊Q8—472no—
1259C4×#41—472no—
1260C4×#41—472no—
1261C4×#41—472no—
1262C4×#41—474no—
1263C4×#41—472no—
1264C4×#41—472no—
1265C4×#41—472no—
1266C4×#41—474no—
1267C4×#41—474no—
1268C4×#41—474no—
1269C2×C4×Q8—472no—
1270C2×C4×Q8—472no—
1271C2×C4×Q8—474no—
1272C2×C4×Q8—474no—
1273C2×#117—471no—
1274C2×#117—471no—
1275C22×C42—471no—
1276C47#6276111yescharacteristic, complemented, Sylow
1277C2×#41—472no—
1278C2×#41—472no—
1279C2×#41—474no—
1280C2×#41—474no—
1281C2×#41—474no—
1282C2×#41—474no—
1283C22×Q8—472no—
1284C22×Q8—472no—
1285C22×Q8—474no—
1286C22×Q8—474no—
1287C23×C4—471no—
1288C23×C4—472no—
1289C4⋊Q8—472no—
1290C4⋊Q8—472no—
1291C4⋊Q8—472no—
1292C4⋊Q8—472no—
1293C4⋊Q8—474no—
1294C4⋊Q8—474no—
1295C4⋊Q8—474no—
1296C4⋊Q8—472no—
1297C4⋊Q8—472no—
1298C4⋊Q8—472no—
1299C4⋊Q8—472no—
1300C4⋊Q8—472no—
1301C4⋊Q8—472no—
1302C4⋊Q8—474no—
1303C4⋊Q8—474no—
1304C4⋊Q8—474no—
1305C4⋊Q8—474no—
1306C4⋊Q8—472no—
1307C4⋊Q8—472no—
1308C4⋊Q8—474no—
1309C4⋊Q8—474no—
1310C4⋊Q8—474no—
1311C4⋊Q8—472no—
1312C4⋊Q8—471no—
1313C4⋊Q8—474no—
1314C4⋊Q8—472no—
1315C4⋊Q8C22×D4712yes—
1316C4⋊Q8C22×D4711yescharacteristic
1317C4⋊Q8C22×D4712yes—
1318C4⋊Q8C22×D4714yes—
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#126C22×D4714yes—
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—474no—
1362#125—474no—
1363#125—474no—
1364#125—474no—
1365#125—474no—
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—472no—
1383#125—472no—
1384#125—472no—
1385#125—472no—
1386#125—474no—
1387#125—474no—
1388#125—474no—
1389#125—474no—
1390#125—471no—
1391#125—471no—
1392#125C22×D4712yes—
1393#125C22×D4712yes—
1394#125C22×D4714yes—
1395#125C22×D4714yes—
1396#125C22×D4714yes—
1397#125C22×D4711yescharacteristic
1398#125C22×D4711yescharacteristic
1399#124—474no—
1400#124—474no—
1401#124—472no—
1402#124—474no—
1403#124—472no—
1404#124—474no—
1405#124—474no—
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—472no—
1415#124—474no—
1416#124—472no—
1417#124C22×D4712yes—
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—472no—
1456C22⋊Q8—472no—
1457C22⋊Q8—472no—
1458C22⋊Q8—474no—
1459C22⋊Q8—474no—
1460C22⋊Q8—474no—
1461C22⋊Q8—474no—
1462C22⋊Q8—474no—
1463C22⋊Q8—472no—
1464C22⋊Q8—472no—
1465C22⋊Q8—472no—
1466C22⋊Q8—474no—
1467C22⋊Q8—474no—
1468C22⋊Q8—474no—
1469C22⋊Q8—474no—
1470C22⋊Q8—472no—
1471C22⋊Q8—472no—
1472C22⋊Q8—472no—
1473C22⋊Q8—472no—
1474C22⋊Q8—472no—
1475C22⋊Q8—472no—
1476C22⋊Q8—472no—
1477C22⋊Q8—474no—
1478C22⋊Q8—474no—
1479C22⋊Q8—474no—
1480C22⋊Q8—474no—
1481C22⋊Q8—474no—
1482C22⋊Q8—474no—
1483C22⋊Q8—474no—
1484C22⋊Q8—474no—
1485C22⋊Q8—474no—
1486C22⋊Q8—474no—
1487C22⋊Q8—474no—
1488C22⋊Q8—474no—
1489C22⋊Q8—474no—
1490C22⋊Q8—474no—
1491C22⋊Q8—474no—
1492C22⋊Q8—474no—
1493C22⋊Q8—474no—
1494C22⋊Q8—474no—
1495C22⋊Q8—474no—
1496C22⋊Q8—474no—
1497C22⋊Q8—474no—
1498C22⋊Q8—472no—
1499C22⋊Q8—472no—
1500C22⋊Q8—472no—
1501C22⋊Q8—472no—
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⋊Q8C22×D4712yes—
1514C22⋊Q8C22×D4712yes—
1515C22⋊Q8C22×D4712yes—
1516C22⋊Q8C22×D4714yes—
1517C22⋊Q8C22×D4714yes—
1518C22⋊Q8C22×D4714yes—
1519C22⋊Q8C22×D4714yes—
1520C22⋊Q8C22×D4714yes—
1521#121—474no—
1522#121—472no—
1523#121—474no—
1524#121—474no—
1525#121—474no—
1526#121—474no—
1527#121—474no—
1528#121—474no—
1529#121—474no—
1530#121—472no—
1531#121—474no—
1532#121—474no—
1533#121—472no—
1534#121—474no—
1535#121—474no—
1536#121—474no—
1537#121—474no—
1538#121—474no—
1539#121—474no—
1540#121—474no—
1541#121—474no—
1542#121—474no—
1543#121—474no—
1544#121—474no—
1545#121C22×D4712yes—
1546#121C22×D4714yes—
1547#120—474no—
1548#120—474no—
1549C4×Q8—472no—
1550C4×Q8—472no—
1551C4×Q8—474no—
1552C4×Q8—472no—
1553C4×Q8—472no—
1554C4×Q8—472no—
1555C4×Q8—472no—
1556C4×Q8—472no—
1557C4×Q8—474no—
1558C4×Q8—472no—
1559C4×Q8—472no—
1560C4×Q8—472no—
1561C4×Q8—472no—
1562C4×Q8—474no—
1563C4×Q8—474no—
1564C4×Q8—474no—
1565C4×Q8—474no—
1566C4×Q8—474no—
1567C4×Q8—474no—
1568C4×Q8—474no—
1569C4×Q8—474no—
1570C4×Q8—474no—
1571C4×Q8—472no—
1572C4×Q8—474no—
1573C4×Q8—472no—
1574C4×Q8—472no—
1575C4×Q8—472no—
1576C4×Q8—472no—
1577C4×Q8—472no—
1578C4×Q8—472no—
1579C4×Q8—472no—
1580C4×Q8—472no—
1581C4×Q8—474no—
1582C4×Q8—474no—
1583C4×Q8—474no—
1584C4×Q8—474no—
1585C4×Q8—472no—
1586C4×Q8—474no—
1587C4×Q8—472no—
1588C4×Q8—472no—
1589C4×Q8C22×D4712yes—
1590C4×Q8C22×D4712yes—
1591C4×Q8C22×D4714yes—
1592C4×Q8C22×D4712yes—
1593C4×Q8C22×D4712yes—
1594C4×Q8C22×D4712yes—
1595C4×D4—474no—
1596C4×D4—474no—
1597C4×D4—472no—
1598C4×D4—472no—
1599C4×D4—472no—
1600C4×D4—474no—
1601C4×D4—474no—
1602C4×D4—474no—
1603C4×D4—474no—
1604C4×D4—474no—
1605C4×D4—474no—
1606C4×D4—474no—
1607C4×D4—474no—
1608C4×D4—474no—
1609C4×D4—474no—
1610C4×D4—474no—
1611C4×D4—472no—
1612C4×D4—474no—
1613C4×D4—474no—
1614C4×D4—474no—
1615C4×D4—472no—
1616C4×D4—472no—
1617C4×D4—474no—
1618C4×D4—474no—
1619C4×D4—474no—
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—472no—
1632C4×D4—474no—
1633C4×D4—474no—
1634C4×D4—472no—
1635C4×D4—472no—
1636C4×D4C22×D4714yes—
1637C4×D4C22×D4712yes—
1638C4×D4C22×D4714yes—
1639C4×D4C22×D4712yes—
1640C4×D4C22×D4712yes—
1641#117—471no—
1642#117—471no—
1643#117—472no—
1644#117—472no—
1645#117—472no—
1646#117—472no—
1647#117—474no—
1648#117—474no—
1649#117—474no—
1650#117—474no—
1651#117—474no—
1652#117—471no—
1653#117—471no—
1654#117—472no—
1655#117—474no—
1656#117—474no—
1657#117—474no—
1658#117—474no—
1659#117—474no—
1660#117—474no—
1661#117—474no—
1662#117—471no—
1663#117—471no—
1664#117—472no—
1665#117—474no—
1666#117—474no—
1667#117—474no—
1668#117—474no—
1669#117C22×D4711yescharacteristic
1670#117C22×D4711yescharacteristic
1671#117C22×D4714yes—
1672#117C22×D4714yes—
1673C2×C4⋊C4—474no—
1674C2×C4⋊C4—474no—
1675C2×C4⋊C4—472no—
1676C2×C4⋊C4—472no—
1677C2×C4⋊C4—472no—
1678C2×C4⋊C4—472no—
1679C2×C4⋊C4—472no—
1680C2×C4⋊C4—472no—
1681C2×C4⋊C4—472no—
1682C2×C4⋊C4—472no—
1683C2×C4⋊C4—474no—
1684C2×C4⋊C4—474no—
1685C2×C4⋊C4—474no—
1686C2×C4⋊C4C22×D4714yes—
1687C2×C22⋊C4—471no—
1688C2×C22⋊C4—471no—
1689C2×C22⋊C4—472no—
1690C2×C42—474no—
1691C2×C42—474no—
1692C2×C42—474no—
1693C2×C42—472no—
1694C2×C42—471no—
1695C2×C42—471no—
1696C2×C42—471no—
1697C2×C42—472no—
1698C2×C42—472no—
1699C2×C42—474no—
1700C2×C42—474no—
1701C2×C42—474no—
1702C2×C42—471no—
1703C2×C42—471no—
1704C2×C42—471no—
1705C2×C42—471no—
1706C2×C42—472no—
1707C2×C42C22×D4711yescharacteristic
1708C24—471no—
1709#41—948no—
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—474no—
1722C2×Q8—474no—
1723C2×Q8—472no—
1724C2×Q8—472no—
1725C2×Q8—474no—
1726C2×Q8—474no—
1727C2×Q8—1888no—
1728C2×Q8—1884no—
1729C2×Q8—1884no—
1730C2×Q8—1888no—
1731C2×Q8C23×D4712yes—
1732C2×Q8C23×D4712yes—
1733C2×Q8C23×D4714yes—
1734C2×Q8C23×D4712yes—
1735C2×D4—474no—
1736C2×D4—474no—
1737C2×D4—474no—
1738C2×D4—474no—
1739C2×D4—474no—
1740C2×D4—474no—
1741C2×D4—474no—
1742C2×D4—474no—
1743C2×D4—472no—
1744C2×D4—474no—
1745C2×D4—474no—
1746C2×D4C23×D4712yes—
1747C2×D4C23×D4714yes—
1748C2×D4C23×D4714yes—
1749C22×C4—471no—
1750C22×C4—474no—
1751C22×C4—471no—
1752C22×C4—472no—
1753C22×C4—474no—
1754C22×C4—474no—
1755C22×C4—474no—
1756C22×C4—474no—
1757C22×C4—471no—
1758C22×C4—472no—
1759C22×C4—471no—
1760C22×C4—471no—
1761C22×C4—472no—
1762C22×C4—474no—
1763C22×C4—472no—
1764C22×C4—472no—
1765C22×C4—472no—
1766C22×C4—472no—
1767C22×C4—472no—
1768C22×C4—472no—
1769C22×C4—474no—
1770C22×C4—474no—
1771C22×C4—474no—
1772C22×C4—474no—
1773C22×C4—474no—
1774C22×C4—944no—
1775C22×C4—1884no—
1776C22×C4C23×D4711yescharacteristic
1777C22×C4C23×D4712yes—
1778C22×C4C23×D4714yes—
1779C22×C4C23×D4714yes—
1780C22×C4C23×D4714yes—
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—472no—
1794C4⋊C4—472no—
1795C4⋊C4—472no—
1796C4⋊C4—472no—
1797C4⋊C4—474no—
1798C4⋊C4—474no—
1799C4⋊C4—474no—
1800C4⋊C4—474no—
1801C4⋊C4—474no—
1802C4⋊C4—474no—
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—472no—
1822C4⋊C4—472no—
1823C4⋊C4—474no—
1824C4⋊C4—474no—
1825C4⋊C4—472no—
1826C4⋊C4—472no—
1827C4⋊C4—472no—
1828C4⋊C4—472no—
1829C4⋊C4—474no—
1830C4⋊C4—472no—
1831C4⋊C4—472no—
1832C4⋊C4—474no—
1833C4⋊C4—474no—
1834C4⋊C4—474no—
1835C4⋊C4—474no—
1836C4⋊C4—474no—
1837C4⋊C4C23×D4712yes—
1838C4⋊C4C23×D4712yes—
1839C4⋊C4C23×D4714yes—
1840C4⋊C4C23×D4712yes—
1841C4⋊C4C23×D4712yes—
1842C4⋊C4C23×D4712yes—
1843C4⋊C4C23×D4712yes—
1844C4⋊C4C23×D4714yes—
1845C4⋊C4C23×D4712yes—
1846C4⋊C4C23×D4712yes—
1847C4⋊C4C23×D4714yes—
1848C4⋊C4C23×D4714yes—
1849C4⋊C4C23×D4712yes—
1850C4⋊C4C23×D4712yes—
1851C4⋊C4C23×D4714yes—
1852C4⋊C4C23×D4714yes—
1853C4⋊C4C23×D4714yes—
1854C4⋊C4C23×D4714yes—
1855C4⋊C4C23×D4714yes—
1856C4⋊C4C23×D4714yes—
1857C22⋊C4—471no—
1858C22⋊C4—471no—
1859C22⋊C4—472no—
1860C22⋊C4—474no—
1861C22⋊C4—474no—
1862C22⋊C4—474no—
1863C22⋊C4—474no—
1864C22⋊C4—474no—
1865C22⋊C4—474no—
1866C22⋊C4—474no—
1867C22⋊C4—472no—
1868C22⋊C4—472no—
1869C22⋊C4—472no—
1870C22⋊C4—472no—
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⋊C4—474no—
1889C22⋊C4C23×D4712yes—
1890C22⋊C4C23×D4711yescharacteristic
1891C22⋊C4C23×D4711yescharacteristic
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—472no—
1902C42—472no—
1903C42—472no—
1904C42—474no—
1905C42—474no—
1906C42—472no—
1907C42—472no—
1908C42—472no—
1909C42—472no—
1910C42—471no—
1911C42—472no—
1912C42—472no—
1913C42—471no—
1914C42—474no—
1915C42—474no—
1916C42—474no—
1917C42—471no—
1918C42—471no—
1919C42—472no—
1920C42—474no—
1921C42—474no—
1922C42—474no—
1923C42—474no—
1924C42—474no—
1925C42—474no—
1926C42C23×D4711yescharacteristic
1927C42C23×D4712yes—
1928C42C23×D4711yescharacteristic
1929C42C23×D4714yes—
1930C42C23×D4711yescharacteristic
1931C42C23×D4712yes—
1932C42C23×D4714yes—
1933C42C23×D4711yescharacteristic
1934C42C23×D4714yes—
1935C23—471no—
1936C23—471no—
1937C23—474no—
1938C23—942no—
1939C23—1882no—
1940C23C24×D4711yescharacteristic
1941C23C24×D4714yes—
1942Q8—24no—
1943Q8—42no—
1944Q8—44no—
1945Q8—42no—
1946Q8—944no—
1947Q8—944no—
1948Q8—948no—
1949Q8—944no—
1950Q8—944no—
1951Q8—944no—
1952Q8—1884no—
1953Q8—1884no—
1954Q8—1884no—
1955Q8—1882no—
1956Q8—1882no—
1957Q8—1884no—
1958D4—24no—
1959D4—44no—
1960D4—44no—
1961D4—948no—
1962D4—948no—
1963D4—948no—
1964D4—944no—
1965D4—1884no—
1966D4—1884no—
1967D4—1884no—
1968D4—1884no—
1969D4—1884no—
1970D4—1884no—
1971D4—1884no—
1972C2×C4—22no—
1973C2×C4—42no—
1974C2×C4—44no—
1975C2×C4—44no—
1976C2×C4—44no—
1977C2×C4—471no—
1978C2×C4—472no—
1979C2×C4—474no—
1980C2×C4—474no—
1981C2×C4—471no—
1982C2×C4—472no—
1983C2×C4—472no—
1984C2×C4—474no—
1985C2×C4—474no—
1986C2×C4—472no—
1987C2×C4—472no—
1988C2×C4—472no—
1989C2×C4—942no—
1990C2×C4—944no—
1991C2×C4—944no—
1992C2×C4—948no—
1993C2×C4—948no—
1994C2×C4—942no—
1995C2×C4—942no—
1996C2×C4—944no—
1997C2×C4—948no—
1998C2×C4—948no—
1999C2×C4—942no—
2000C2×C4—1882no—
2001C2×C4—1882no—
2002C2×C4—1882no—
2003C2×C4—1884no—
2004C2×C4—1882no—
2005C2×C4—1882no—
2006C2×C4—1882no—
2007C2×C4—1884no—
2008C2×C4—1884no—
2009C2×C4—1884no—
2010C2×C4—1884no—
2011C2×C4—1884no—
2012C2×C4—1884no—
2013C2×C4C24×D4712yes—
2014C2×C4C24×D4714yes—
2015C2×C4C24×D4712yes—
2016C2×C4C24×D4714yes—
2017C2×C4C24×D4712yes—
2018C2×C4C24×D4711yescharacteristic
2019C2×C4C24×D4712yes—
2020C2×C4C24×D4714yes—
2021C2×C4C24×D4712yes—
2022C2×C4C24×D4712yes—
2023C2×C4C24×D4711yescharacteristic
2024C22—21no—
2025C22—24no—
2026C22—24no—
2027C22—24no—
2028C22—22no—
2029C22—472no—
2030C22—942no—
2031C22—941no—
2032C22—944no—
2033C22—944no—
2034C22—942no—
2035C22—944no—
2036C22—1884no—
2037C22C25×D4711yescharacteristic
2038C4—21no—
2039C4—24no—
2040C4—22no—
2041C4—22no—
2042C4—24no—
2043C4—22no—
2044C4—24no—
2045C4—22no—
2046C4—22no—
2047C4—22no—
2048C4—472no—
2049C4—474no—
2050C4—941no—
2051C4—944no—
2052C4—942no—
2053C4—944no—
2054C4—942no—
2055C4—942no—
2056C4—944no—
2057C4—942no—
2058C4—942no—
2059C42−1+4×D4712yes—
2060C2—41no—
2061C2—44no—
2062C2—942no—
2063C2—1881no—
2064C2—1884no—
2065C2C2×2−1+4×D4711yescharacteristic
2066C2#585×D4712yes—
subgroupG/H
center, FrattiniC22C25×D47
commutator, socle, cosocleC22×C47C26
FittingC47×#3557C2
hypercenter#3557D47
hypocenterC47#62761
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #20257894C2semidirect
2. #20257890C2semidirect
3. #20257881C2semidirect
4. #20257875C2semidirect
5. #20257868C2semidirect
6. #20257858C2semidirect
7. #20257851C2semidirect
8. #20257835C2semidirect
9. #20257822C2semidirect
10. #20257796C2semidirect
11. #20257782C2semidirect
12. #20257680C2semidirect
13. #20257672C2semidirect
14. #20257534C2semidirect
15. #20257002C2semidirect
16. #20256984C2semidirect
17. #20256980C2semidirect
18. #20256970C2semidirect
19. #20256967C2semidirect
20. #20256818C2semidirect
21. #20256814C2semidirect
22. #20256779C2semidirect
23. #20256775C2semidirect
24. #20256772C2semidirect
25. #20256682C2semidirect
26. #533×D47C2semidirect
27. C47×#3557C2semidirect
28. C47⋊#564C22semidirect
31. #15689875C22semidirect
32. #15689875C22semidirect
33. #15689875C22semidirect
35. #15689874C22semidirect
37. #15689872C22semidirect
39. #15689870C22semidirect
43. #15689858C22semidirect
44. #15689856C22semidirect
45. #15689856C22semidirect
46. #15689855C22semidirect
47. #15689855C22semidirect
48. Q8×Dic94C22semidirect
49. #15689853C22semidirect
50. #15689851C22semidirect
51. #15689851C22semidirect
52. #15689850C22semidirect
53. #15689850C22semidirect
54. #15689850C22semidirect
55. #15689849C22semidirect
56. #15689849C22semidirect
57. #15689848C22semidirect
58. #15689846C22semidirect
60. #15689845C22semidirect
61. #15689845C22semidirect
62. #15689842C22semidirect
63. #15689842C22semidirect
65. #15689840C22semidirect
67. #15689833C22semidirect
68. #15689832C22semidirect
69. #15689832C22semidirect
72. #15689829C22semidirect
73. #15689829C22semidirect
83. #15689812C22semidirect
85. #15689806C22semidirect
87. #15689805C22semidirect
88. #15689794C22semidirect
89. #15689793C22semidirect
90. D4×Dic94C22semidirect
92. #15689788C22semidirect
94. #15689786C22semidirect
101. #15689771C22semidirect
102. #15689752C22semidirect
103. #15689750C22semidirect
109. #15689743C22semidirect
117. #15689737C22semidirect
120. #15689735C22semidirect
123. #15689732C22semidirect
124. #15689732C22semidirect
126. #15689731C22semidirect
129. #15689730C22semidirect
130. #15689730C22semidirect
137. #15689720C22semidirect
140. #15689719C22semidirect
143. #15689716C22semidirect
145. #15689715C22semidirect
153. #15689696C22semidirect
155. #15689695C22semidirect
162. #15689679C22semidirect
163. #15689679C22semidirect
166. #15689678C22semidirect
175. #15689675C22semidirect
176. #15689675C22semidirect
177. #15689675C22semidirect
186. #15689659C22semidirect
194. #15689656C22semidirect
195. #15689656C22semidirect
199. #15689652C22semidirect
204. #15689650C22semidirect
205. #15689650C22semidirect
217. #15689591C22semidirect
222. C4×#10625352C22semidirect
223. C2×#13093989C22semidirect
226. C4×Q8×D47C22semidirect
230. C47×#563C22semidirect
231. C47×#559C22semidirect
232. C47×#557C22semidirect
233. C47×#556C22semidirect
234. C47×#554C22semidirect
235. C47×#552C22semidirect
1029. #3557D47semidirect
1071. #563C2×D47semidirect
1082. #559C2×D47semidirect
1093. #557C2×D47semidirect
1102. #556C2×D47semidirect
1114. #554C2×D47semidirect
1126. #552C2×D47semidirect
1276. C47#62761semidirect

Maximal subgroups

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

subgroupindex
#202578942
#202578902
#202578812
#202578752
#202578682
#202578582
#202578512
#202578352
#202578222
#202577962
#202577822
#202576802
#202576722
#202575342
#202570022
#202569842
#202569802
#202569702
#202569672
#202568182
#202568142
#202567792
#202567752
#202567722
#202566822
#533×D472
C47×#35572
#6276147