Finite Group Databasebeta

← #27124121

Subgroups — #27124121

Order 12032.

6518 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257888C214yesmaximal, complemented
2#20257882C211yesmaximal, characteristic, complemented
3#20257867C214yesmaximal, complemented
4#20257850C214yesmaximal, complemented
5#20257845C211yesmaximal, characteristic, complemented
6#20257843C211yesmaximal, characteristic, complemented
7#20257839C212yesmaximal, complemented
8#20257822C214yesmaximal, complemented
9#20257798C212yesmaximal, complemented
10#20257784C211yesmaximal, characteristic, complemented
11#20257678C214yesmaximal, complemented
12#20257670C214yesmaximal, complemented
13#20257535C211yesmaximal, characteristic, complemented
14#20257533C212yesmaximal, complemented
15#20257001C214yesmaximal, complemented
16#20256979C214yesmaximal, complemented
17#20256966C214yesmaximal, complemented
18#20256819C214yesmaximal, complemented
19#20256817C214yesmaximal, complemented
20#20256771C214yesmaximal, complemented
21#20256682C212yesmaximal, complemented
22#533×D47C211yesmaximal, characteristic, complemented
23C47×#3531C211yesmaximal, characteristic, complemented
24C47⋊#564C2212yescomplemented
25C47⋊#564C2211yescharacteristic, complemented
26#15689877C2212yescomplemented
27#15689877C2212yescomplemented
28#15689876C2214yes—
29#15689875C2214yescomplemented
30#15689875C2214yescomplemented
31#15689874C2214yes—
32#15689874C2214yes—
33#15689873C2212yescomplemented
34#15689872C2214yescomplemented
35#15689871C2211yescharacteristic, complemented
36#15689870C2214yes—
37#15689869C2214yes—
38#15689868C2214yes—
39#15689867C2212yescomplemented
40#15689857C2214yescomplemented
41#15689857C2214yescomplemented
42#15689855C2214yescomplemented
43#15689853C2214yescomplemented
44#15689850C2214yescomplemented
45#15689850C2214yescomplemented
46#15689850C2214yescomplemented
47#15689850C2214yescomplemented
48#15689848C2214yescomplemented
49#15689844C2214yescomplemented
50#15689842C2214yes—
51#15689840C2214yes—
52#15689840C2214yescomplemented
53#15689840C2214yescomplemented
54#15689840C2214yescomplemented
55#15689834C2214yes—
56#15689831C2214yes—
57#15689831C2214yescomplemented
58#15689829C2214yes—
59#15689829C2214yes—
60#15689827C2214yes—
61#15689827C2214yes—
62#15689827C2214yescomplemented
63#15689827C2214yescomplemented
64#15689826C2214yes—
65#15689824C2214yes—
66#15689824C2214yes—
67#15689820C2214yes—
68#15689818C2214yes—
69#15689818C2214yes—
70#15689815C2214yescomplemented
71#15689811C2214yescomplemented
72#15689810C2214yes—
73#15689810C2214yescomplemented
74#15689809C2214yes—
75#15689809C2214yescomplemented
76#15689791C2214yescomplemented
77#15689788C2214yes—
78#15689786C2214yes—
79#15689786C2214yescomplemented
80#15689786C2214yescomplemented
81#15689783C2214yes—
82#15689781C2214yes—
83#15689781C2214yes—
84#15689779C2214yes—
85#15689773C2214yes—
86#15689771C2214yes—
87#15689771C2214yescomplemented
88#15689752C2214yescomplemented
89#15689750C2214yescomplemented
90#15689747C2214yes—
91#15689746C2214yes—
92#15689743C2214yes—
93#15689743C2214yes—
94#15689743C2214yescomplemented
95#15689741C2214yes—
96#15689739C2214yes—
97#15689739C2214yes—
98#15689739C2214yes—
99#15689737C2214yes—
100#15689737C2214yes—
101#15689737C2214yescomplemented
102#15689734C2214yescomplemented
103#15689733C2214yescomplemented
104#15689732C2214yes—
105#15689732C2214yes—
106#15689732C2214yes—
107#15689732C2214yescomplemented
108#15689732C2214yescomplemented
109#15689730C2214yes—
110#15689730C2214yescomplemented
111#15689730C2214yescomplemented
112#15689725C2214yes—
113#15689723C2214yes—
114#15689722C2214yes—
115#15689721C2214yes—
116#15689721C2214yes—
117#15689721C2214yescomplemented
118#15689719C2214yes—
119#15689719C2214yes—
120#15689719C2214yescomplemented
121#15689718C2214yescomplemented
122#15689717C2214yes—
123#15689717C2214yescomplemented
124#15689716C2214yes—
125#15689714C2214yes—
126#15689712C2214yes—
127#15689709C2214yes—
128#15689707C2214yes—
129#15689705C2214yes—
130#15689703C2214yes—
131#15689700C2214yes—
132#15689698C2214yes—
133#15689696C2214yescomplemented
134#15689695C2214yes—
135#15689695C2214yescomplemented
136#15689680C2211yescharacteristic
137#15689679C2211yescharacteristic
138#15689679C2212yes—
139#15689679C2211yescharacteristic
140#15689678C2212yes—
141#15689677C2214yes—
142#15689677C2214yes—
143#15689677C2212yes—
144#15689677C2214yescomplemented
145#15689677C2214yescomplemented
146#15689677C2214yescomplemented
147#15689676C2212yes—
148#15689676C2214yescomplemented
149#15689676C2214yescomplemented
150#15689675C2214yes—
151#15689675C2212yes—
152#15689672C2212yes—
153#15689670C2214yes—
154#15689670C2212yes—
155#15689668C2212yes—
156C4⋊Q8×D47C2212yes—
157#15689660C2214yes—
158#15689660C2214yescomplemented
159#15689658C2212yes—
160#15689657C2214yes—
161#15689657C2212yes—
162#15689656C2214yes—
163#15689656C2214yes—
164#15689655C2214yes—
165#15689653C2214yes—
166#15689653C2214yes—
167#15689653C2214yescomplemented
168#15689653C2214yescomplemented
169#15689652C2212yes—
170#15689651C2214yes—
171#15689651C2214yes—
172#15689651C2214yes—
173#15689651C2214yescomplemented
174#15689651C2214yescomplemented
175#15689650C2214yes—
176#125×D47C2211yescharacteristic
177#125×D47C2211yescharacteristic
178#15689636C2212yes—
179#15689633C2212yes—
180#15689632C2214yes—
181#15689631C2214yes—
182C22⋊Q8×D47C2214yes—
183C4×#10625354C2212yes—
184C4×#10625350C2214yes—
185C4×#10625350C2214yescomplemented
186#15689591C2214yes—
187#15689591C2214yes—
188C4×#10625352C2212yes—
189C4×#10625352C2214yes—
190C4×#10625352C2214yescomplemented
191C2×C4×Dic94C2214yescomplemented
192C4×Q8×D47C2214yes—
193C4×Q8×D47C2214yescomplemented
194#117×D47C2212yes—
195C2×C42×D47C2211yescharacteristic
196C47×#564C2211yescharacteristic, complemented
197C47×#563C2214yes—
198C47×#563C2212yescomplemented
199C47×#563C2214yescomplemented
200C47×#562C2214yes—
201C47×#562C2211yescharacteristic, complemented
202C47×#533C2211yescharacteristic
203C47×#533C2214yescomplemented
204C47×#529C2214yes—
205C47×#529C2212yes—
206C47×#529C2214yescomplemented
207C2×#10625354C2312yes—
208C2×#10625350C2314yes—
209C2×#10625350C2314yes—
210C2×#10625352C2314yes—
211C2×#10625352C2314yes—
212C2×#10625352C2312yes—
213C22×Dic94C2314yes—
214C2×Q8×D47C2314yes—
215C2×Q8×D47C2314yes—
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2312yes—
218#13094024C2312yes—
219#13094023C2314yes—
220#13094023C2314yes—
221#13094023C2314yes—
222#13094023C2314yes—
223#13094023C2314yes—
224#13094023C2314yes—
225#13094023C2314yes—
226#13094023C2314yes—
227#13094023C2314yes—
228#13094023C2314yes—
229#13094023C2312yes—
230#13094023C2312yes—
231#13094023C2312yes—
232#13094023C2312yes—
233#13094022C2314yes—
234#13094022C2314yes—
235#13094022C2314yes—
236#13094022C2314yes—
237#13094022C2314yes—
238#13094022C2312yes—
239#13094020C2314yes—
240#13094020C2312yes—
241#13094019C2314yes—
242#13094019C2314yes—
243#13094019C2314yes—
244#13094019C2314yes—
245#13094019C2314yes—
246#13094019C2314yes—
247#13094019C2314yes—
248#13094019C2314yes—
249#13094019C2314yes—
250#13094019C2314yes—
251#13094019C2314yes—
252#13094019C2314yes—
253#13094019C2314yes—
254#13094018C2314yes—
255#13094018C2314yes—
256#13094018C2314yes—
257#13094017C2314yes—
258#13094017C2314yes—
259#13094017C2314yes—
260#13094017C2314yes—
261#13094017C2314yes—
262#13094017C2314yes—
263#13094017C2314yes—
264#13094017C2314yes—
265#13094017C2314yes—
266#13094017C2314yes—
267#13094017C2314yes—
268#13094016C2314yes—
269#13094016C2311yescharacteristic
270#13094016C2311yescharacteristic
271#13094016C2312yes—
272#13094015C2314yes—
273#13094015C2314yes—
274#13094015C2314yes—
275#13094015C2314yes—
276#13094015C2314yes—
277#13094015C2314yes—
278#13094015C2314yes—
279#13094015C2312yes—
280#13094015C2312yes—
281#13094014C2314yes—
282#13094014C2314yes—
283#13094014C2314yes—
284#13094014C2314yes—
285#13094014C2314yes—
286#13094014C2314yes—
287#13094014C2314yes—
288#13094014C2314yes—
289#13094014C2314yes—
290#13094014C2314yes—
291#13094014C2314yes—
292#13094014C2314yes—
293#13094014C2314yes—
294#13094014C2314yes—
295#13094014C2314yes—
296#13094014C2314yes—
297#13094014C2314yes—
298#13094014C2314yes—
299#13094014C2314yes—
300#13094014C2314yes—
301#13094013C2314yes—
302#13094013C2314yes—
303#13094012C2314yes—
304#13094012C2312yes—
305#13094011C2314yes—
306#13094010C2314yes—
307#13094010C2314yes—
308#13094010C2314yes—
309#13094010C2314yes—
310#13094010C2314yes—
311#13094010C2314yes—
312#13094010C2314yes—
313#13094010C2314yes—
314#13094010C2314yes—
315#13094010C2314yes—
316#13094010C2314yes—
317#13094010C2314yes—
318#13094009C2314yes—
319#13094009C2314yes—
320#13094009C2314yes—
321#13094009C2314yes—
322#13094009C2314yes—
323#13094009C2314yes—
324#13094009C2314yes—
325#13094009C2314yes—
326#13094009C2314yes—
327#13094009C2314yes—
328#13094008C2314yes—
329#13094008C2314yes—
330#13094008C2314yes—
331#13094008C2314yes—
332#13094007C2314yes—
333#13094007C2314yes—
334#13094007C2314yes—
335#13094006C2314yes—
336#13094006C2314yes—
337#13094006C2314yes—
338#13094006C2314yes—
339#13094006C2314yes—
340#13094006C2314yes—
341#13094006C2314yes—
342#13094006C2314yes—
343#13094005C2314yes—
344#13094005C2314yes—
345#13094005C2314yes—
346#13094005C2314yes—
347#13094004C2314yes—
348#13094004C2314yes—
349#13094004C2314yes—
350#13094004C2314yes—
351#13094004C2314yes—
352#13094004C2314yes—
353#13094004C2312yes—
354#13094003C2314yes—
355#13094003C2314yes—
356#13094003C2312yes—
357#13094002C2314yes—
358#13094002C2314yes—
359#13094002C2314yes—
360#13094002C2314yes—
361#13094002C2314yes—
362#13094002C2314yes—
363#13094002C2314yes—
364#13094002C2314yes—
365#13094002C2314yes—
366#13094002C2314yes—
367#13094002C2314yes—
368#13094002C2314yes—
369#13094002C2314yes—
370#13094002C2314yes—
371#13094002C2314yes—
372#13094002C2314yes—
373#13094002C2314yes—
374#13094001C2314yes—
375#13094001C2314yes—
376#13094001C2314yes—
377#13094001C2314yes—
378#13094001C2314yes—
379#13094001C2314yes—
380#13094001C2314yes—
381#13094001C2314yes—
382#13094001C2314yes—
383#13094001C2314yes—
384#13094001C2314yes—
385#13094001C2314yes—
386#13094001C2314yes—
387#13094001C2314yes—
388#13094001C2314yes—
389#13094000C2314yes—
390#13094000C2314yes—
391#13094000C2314yes—
392#13094000C2314yes—
393#13094000C2314yes—
394#13094000C2314yes—
395#13094000C2314yes—
396#13094000C2312yes—
397#13093999C2314yes—
398#13093999C2314yes—
399#13093999C2314yes—
400#13093999C2312yes—
401#13093998C2314yes—
402#13093998C2312yes—
403#13093997C2314yes—
404#13093997C2314yes—
405#13093997C2314yes—
406#13093997C2314yes—
407#13093997C2314yes—
408#13093997C2314yes—
409#13093997C2314yes—
410#13093997C2314yes—
411#13093997C2314yes—
412#13093996C2314yes—
413#13093996C2314yes—
414#13093996C2314yes—
415#13093996C2314yes—
416#13093996C2314yes—
417#13093995C2314yes—
418#13093995C2314yes—
419#13093995C2312yes—
420#13093994C2314yes—
421#13093992C2314yes—
422Q8×Dic47C2312yes—
423Q8×Dic47C2314yes—
424Q8×Dic47C2314yes—
425C4×Dic94C2314yes—
426C4×Dic94C2314yes—
427C4×Dic94C2314yes—
428C4×Dic94C2314yes—
429C4×Dic94C2314yes—
430C4×Dic94C2314yes—
431C4×Dic94C2314yes—
432C4×Dic94C2314yes—
433C4×Dic94C2314yes—
434C4×Dic94C2314yes—
435C4×Dic94C2314yes—
436C4×Dic94C2314yes—
437C4×Dic94C2314yes—
438C4×Dic94C2314yes—
439C4×Dic94C2312yes—
440#13093989C2314yes—
441#13093989C2312yes—
442#13093989C2314yes—
443#13093989C2314yes—
444#13093989C2314yes—
445#13093989C2314yes—
446#13093989C2314yes—
447#13093989C2314yes—
448#13093989C2314yes—
449#13093989C2314yes—
450#13093989C2314yes—
451#13093989C2314yes—
452#13093989C2314yes—
453C4×D188C2314yes—
454C4×D188C2314yes—
455C4×D188C2314yes—
456C4×D188C2314yes—
457C4×D188C2314yes—
458C4×D188C2312yes—
459D4×Dic47C2314yes—
460D4×Dic47C2314yes—
461D4×Dic47C2312yes—
462#13093986C2314yes—
463#13093986C2314yes—
464#13093986C2314yes—
465#13093986C2314yes—
466#13093986C2314yes—
467#13093986C2312yes—
468C4×C22⋊D47C2314yes—
469C4×C22⋊D47C2314yes—
470C4×C22⋊D47C2314yes—
471C4×C22⋊D47C2314yes—
472C4×C22⋊D47C2314yes—
473C4×C22⋊D47C2314yes—
474C4×C22⋊D47C2314yes—
475C4×C22⋊D47C2314yes—
476C4×C22⋊D47C2314yes—
477C4×C22⋊D47C2314yes—
478C4×C22⋊D47C2314yes—
479(C22⋊D47)⋊C4C2314yes—
480(C22⋊D47)⋊C4C2314yes—
481(C22⋊D47)⋊C4C2314yes—
482(C22⋊D47)⋊C4C2314yes—
483(C22⋊D47)⋊C4C2314yes—
484(C22⋊D47)⋊C4C2314yes—
485(C22⋊D47)⋊C4C2314yes—
486(C22⋊D47)⋊C4C2314yes—
487(C22⋊D47)⋊C4C2314yes—
488(C22⋊D47)⋊C4C2314yes—
489(C22⋊D47)⋊C4C2314yes—
490(C22⋊D47)⋊C4C2314yes—
491(C22⋊D47)⋊C4C2314yes—
492#13093983C2314yes—
493#13093983C2312yes—
494#13093983C2314yes—
495#13093982C2312yes—
496#13093982C2312yes—
497#13093982C2312yes—
498#13093982C2314yes—
499#13093982C2314yes—
500#13093982C2312yes—
501#13093982C2314yes—
502#13093981C2314yes—
503#13093981C2314yes—
504#13093981C2314yes—
505#13093981C2314yes—
506#13093981C2314yes—
507#13093981C2314yes—
508#13093981C2314yes—
509#13093980C2314yes—
510#13093980C2314yes—
511#13093980C2314yes—
512#13093980C2314yes—
513#13093980C2314yes—
514#13093980C2314yes—
515C2×C4⋊Dic47C2314yes—
516C2×Dic47⋊C4C2314yes—
517C2×Dic47⋊C4C2314yes—
518C4⋊C4×D47C2314yes—
519C4⋊C4×D47C2314yes—
520C4⋊C4×D47C2314yes—
521C4⋊C4×D47C2314yes—
522C4⋊C4×D47C2314yes—
523C4⋊C4×D47C2314yes—
524C4⋊C4×D47C2312yes—
525C4⋊C4×D47C2312yes—
526C22⋊C4×D47C2314yes—
527C2×C4×Dic47C2311yescharacteristic
528C2×C4×Dic47C2312yes—
529C2×C4×Dic47C2314yes—
530C2×C4×Dic47C2314yes—
531C42×D47C2312yes—
532C42×D47C2312yes—
533C42×D47C2311yescharacteristic
534C42×D47C2311yescharacteristic
535C42×D47C2311yescharacteristic
536C42×D47C2311yescharacteristic
537C42×D47C2314yes—
538C42×D47C2314yes—
539C42×D47C2314yes—
540C42×D47C2314yes—
541C4⋊Q8×C47C2314yes—
542C4⋊Q8×C47C2314yes—
543C4⋊Q8×C47C2312yes—
544#126×C47C2314yes—
545#126×C47C2314yes—
546#126×C47C2314yes—
547#126×C47C2314yes—
548#126×C47C2314yes—
549#125×C47C2314yes—
550#125×C47C2314yes—
551#125×C47C2314yes—
552#125×C47C2314yes—
553#125×C47C2312yes—
554#125×C47C2311yescharacteristic
555#125×C47C2311yescharacteristic
556#124×C47C2314yes—
557#124×C47C2314yes—
558#124×C47C2312yes—
559#123×C47C2314yes—
560#123×C47C2314yes—
561#123×C47C2314yes—
562#123×C47C2314yes—
563#123×C47C2314yes—
564C22⋊Q8×C47C2314yes—
565C22⋊Q8×C47C2314yes—
566C22⋊Q8×C47C2314yes—
567C22⋊Q8×C47C2314yes—
568C22⋊Q8×C47C2314yes—
569C22⋊Q8×C47C2314yes—
570C22⋊Q8×C47C2312yes—
571C22⋊Q8×C47C2314yes—
572#121×C47C2314yes—
573#121×C47C2314yes—
574#121×C47C2312yes—
575C4×Q8×C47C2314yes—
576C4×Q8×C47C2312yes—
577C4×Q8×C47C2314yes—
578C4×D4×C47C2314yes—
579C4×D4×C47C2312yes—
580C4×D4×C47C2314yes—
581#117×C47C2312yes—
582#117×C47C2314yes—
583#117×C47C2314yes—
584C2×C42×C47C2311yescharacteristic
585C2×C42×C47C2314yes—
586C23×D47C2411yescharacteristic
587C2×Q8×C47C2414yes—
588C2×Q8×C47C2414yes—
589C2×Q8×C47C2412yes—
590C2×D4×C47C2414yes—
591C2×D4×C47C2412yes—
592C2×D4×C47C2414yes—
593C22×C4×C47C2414yes—
594C22×C4×C47C2411yescharacteristic
595C22×C4×C47C2412yes—
596C22×C4×C47C2414yes—
597C22×C4×C47C2414yes—
598C2×C22⋊D47C2414yes—
599C2×C22⋊D47C2414yes—
600C2×C22⋊D47C2414yes—
601C2×C22⋊D47C2414yes—
602C2×C22⋊D47C2414yes—
603C2×C22⋊D47C2414yes—
604C2×C22⋊D47C2414yes—
605C22×Dic47C2411yescharacteristic
606C22×Dic47C2412yes—
607C22×Dic47C2414yes—
608C22×Dic47C2414yes—
609C22×Dic47C2414yes—
610C22×Dic47C2414yes—
611#10625354—44no—
612Q8×D47—48no—
613Q8×D47—48no—
614#10625352—48no—
615#10625352—48no—
616#10625352—44no—
617#10625350—216no—
618#10625350—48no—
619C2×D188C2414yes—
620C2×D188C2414yes—
621C2×D188C2412yes—
622C2×D188C2414yes—
623C2×C4×D47—24no—
624C2×C4×D47—44no—
625C2×C4×D47C2414yes—
626C2×C4×D47C2411yescharacteristic
627C2×C4×D47C2412yes—
628C2×C4×D47C2411yescharacteristic
629C2×C4×D47C2411yescharacteristic
630C2×C4×D47C2412yes—
631C2×C4×D47C2414yes—
632C2×C4×D47C2412yes—
633C2×C4×D47C2412yes—
634C2×C4×D47C2414yes—
635C2×C4×D47C2414yes—
636C2×C4×D47C2414yes—
637C2×C4×D47C2414yes—
638C2×C4×D47C2414yes—
639C2×C4×D47C2414yes—
640C2×C4×D47C2414yes—
641C2×C4×D47C2411yescharacteristic
642C2×Dic94—48no—
643C2×Dic94C2414yes—
644C2×Dic94C2414yes—
645C2×Dic94C2414yes—
646C2×Dic94C2414yes—
647C2×Dic94C2414yes—
648C2×Dic94C2414yes—
649C2×Dic94C2412yes—
650C2×Dic94C2414yes—
651C2×Dic94C2414yes—
652C4⋊C4×C47C2412yes—
653C4⋊C4×C47C2414yes—
654C4⋊C4×C47C2414yes—
655C4⋊C4×C47C2412yes—
656C4⋊C4×C47C2414yes—
657C4⋊C4×C47C2414yes—
658C4⋊C4×C47C2412yes—
659C4⋊C4×C47C2414yes—
660C4⋊C4×C47C2414yes—
661C4⋊C4×C47C2414yes—
662C4⋊C4×C47C2414yes—
663C4⋊C4×C47C2412yes—
664C4⋊C4×C47C2414yes—
665C4⋊C4×C47C2414yes—
666C4⋊C4×C47C2414yes—
667C4⋊C4×C47C2414yes—
668C4⋊C4×C47C2414yes—
669C22⋊C4×C47C2414yes—
670C22⋊C4×C47C2414yes—
671C22⋊C4×C47C2414yes—
672C22⋊C4×C47C2414yes—
673C22⋊C4×C47C2414yes—
674C22⋊C4×C47C2414yes—
675C22⋊C4×C47C2414yes—
676C22⋊C4×C47C2414yes—
677C22⋊C4×C47C2414yes—
678C22⋊C4×C47C2414yes—
679C42×C47C2414yes—
680C42×C47C2412yes—
681C42×C47C2414yes—
682C42×C47C2411yescharacteristic
683C42×C47C2414yes—
684C42×C47C2411yescharacteristic
685C42×C47C2414yes—
686C22⋊Dic47C2414yes—
687C22⋊Dic47C2414yes—
688C22⋊Dic47C2414yes—
689C22⋊Dic47C2414yes—
690C22⋊Dic47C2414yes—
691C22⋊Dic47C2414yes—
692C22⋊Dic47C2414yes—
693C22⋊Dic47C2414yes—
694(C2×D47)⋊C4C2414yes—
695(C2×D47)⋊C4C2414yes—
696(C2×D47)⋊C4C2414yes—
697(C2×D47)⋊C4C2414yes—
698(C2×D47)⋊C4C2414yes—
699(C2×D47)⋊C4C2414yes—
700(C2×D47)⋊C4C2414yes—
701(C2×D47)⋊C4C2414yes—
702(C2×D47)⋊C4C2414yes—
703(C2×D47)⋊C4C2414yes—
704(C2×D47)⋊C4C2414yes—
705(C2×D47)⋊C4C2414yes—
706(C2×D47)⋊C4C2414yes—
707(C2×D47)⋊C4C2414yes—
708(C2×D47)⋊C4C2414yes—
709(C2×D47)⋊C4C2414yes—
710(C2×D47)⋊C4C2414yes—
711(C2×D47)⋊C4C2414yes—
712(C2×D47)⋊C4C2414yes—
713(C2×D47)⋊C4C2414yes—
714C4⋊Dic47C2414yes—
715C4⋊Dic47C2414yes—
716C4⋊Dic47C2414yes—
717C4⋊Dic47C2412yes—
718C4⋊Dic47C2412yes—
719C4⋊Dic47C2414yes—
720C4⋊Dic47C2414yes—
721C4⋊Dic47C2414yes—
722C4⋊Dic47C2414yes—
723C4⋊Dic47C2412yes—
724C4⋊Dic47C2412yes—
725C4⋊Dic47C2414yes—
726C4⋊Dic47C2414yes—
727C4⋊Dic47C2414yes—
728C4⋊Dic47C2414yes—
729Dic47⋊C4C2414yes—
730Dic47⋊C4C2414yes—
731Dic47⋊C4C2414yes—
732Dic47⋊C4C2414yes—
733Dic47⋊C4C2414yes—
734Dic47⋊C4C2414yes—
735Dic47⋊C4C2414yes—
736Dic47⋊C4C2414yes—
737Dic47⋊C4C2414yes—
738Dic47⋊C4C2414yes—
739Dic47⋊C4C2414yes—
740Dic47⋊C4C2414yes—
741Dic47⋊C4C2414yes—
742Dic47⋊C4C2414yes—
743Dic47⋊C4C2414yes—
744Dic47⋊C4C2414yes—
745Dic47⋊C4C2414yes—
746Dic47⋊C4C2414yes—
747Dic47⋊C4C2414yes—
748Dic47⋊C4C2414yes—
749Dic47⋊C4C2414yes—
750Dic47⋊C4C2414yes—
751Dic47⋊C4C2414yes—
752Dic47⋊C4C2414yes—
753Dic47⋊C4C2414yes—
754Dic47⋊C4C2414yes—
755Dic47⋊C4C2414yes—
756Dic47⋊C4C2414yes—
757Dic47⋊C4C2414yes—
758Dic47⋊C4C2414yes—
759C4×Dic47C2412yes—
760C4×Dic47C2411yescharacteristic
761C4×Dic47C2412yes—
762C4×Dic47C2414yes—
763C4×Dic47C2411yescharacteristic
764C4×Dic47C2412yes—
765C4×Dic47C2412yes—
766C4×Dic47C2412yes—
767C4×Dic47C2414yes—
768C4×Dic47C2414yes—
769C4×Dic47C2414yes—
770C4×Dic47C2414yes—
771C4×Dic47C2414yes—
772C4×Dic47C2414yes—
773C4×Dic47C2414yes—
774C4×Dic47C2414yes—
775C4×Dic47C2414yes—
776C4×Dic47C2414yes—
777C4×Dic47C2414yes—
778C4×Dic47C2414yes—
779C4×Dic47C2414yes—
780C23×C47C2511yescharacteristic
781C23×C47C2514yes—
782C22×D47—22no—
783C22×D47—42no—
784C22×D47C2511yescharacteristic
785C22×D47C2514yes—
786C22×D47C2511yescharacteristic
787Q8×C47—44no—
788Q8×C47—44no—
789Q8×C47—42no—
790D4×C47—44no—
791D4×C47—44no—
792D4×C47—42no—
793C2×C4×C47—22no—
794C2×C4×C47—28no—
795C2×C4×C47—44no—
796C2×C4×C47—42no—
797C2×C4×C47—44no—
798C2×C4×C47C2514yes—
799C2×C4×C47C2514yes—
800C2×C4×C47C2514yes—
801C2×C4×C47C2512yes—
802C2×C4×C47C2511yescharacteristic
803C2×C4×C47C2514yes—
804C2×C4×C47C2512yes—
805C2×C4×C47C2514yes—
806C2×C4×C47C2511yescharacteristic
807C22⋊D47—28no—
808C22⋊D47—28no—
809C22⋊D47—28no—
810C22⋊D47—44no—
811C22⋊D47—44no—
812C22⋊D47—44no—
813C22⋊D47—44no—
814C2×Dic47—22no—
815C2×Dic47—28no—
816C2×Dic47—24no—
817C2×Dic47—44no—
818C2×Dic47—44no—
819C2×Dic47—44no—
820C2×Dic47C2512yes—
821C2×Dic47C2514yes—
822C2×Dic47C2511yescharacteristic
823C2×Dic47C2514yes—
824C2×Dic47C2514yes—
825C2×Dic47C2514yes—
826C2×Dic47C2514yes—
827C2×Dic47C2511yescharacteristic
828C2×Dic47C2512yes—
829D188—28no—
830D188—44no—
831D188—42no—
832D188—44no—
833C4×D47—22no—
834C4×D47—22no—
835C4×D47—28no—
836C4×D47—22no—
837C4×D47—24no—
838C4×D47—24no—
839C4×D47—28no—
840C4×D47—42no—
841C4×D47—42no—
842C4×D47—44no—
843C4×D47—44no—
844C4×D47—44no—
845C4×D47—44no—
846C4×D47—44no—
847C4×D47—44no—
848C4×D47—44no—
849C4×D472−1+414yes—
850Dic94—28no—
851Dic94—28no—
852Dic94—28no—
853Dic94—28no—
854Dic94—44no—
855Dic94—44no—
856Dic94—42no—
857Dic94—44no—
858Dic94—44no—
859#62761—471nomaximal, Sylow
860C22×C47—21no—
861C22×C47—24no—
862C22×C47—24no—
863C22×C47—22no—
864C22×C47—24no—
865C22×C47C2611yescharacteristic
866C2×D47—22no—
867C2×D47—21no—
868C2×D47—24no—
869C2×D47—24no—
870C2×D47—22no—
871C2×D47—24no—
872C2×D47—44no—
873C2×D47C2×2−1+412yes—
874C4×C47—24no—
875C4×C47—21no—
876C4×C47—24no—
877C4×C47—24no—
878C4×C47—24no—
879C4×C47—22no—
880C4×C47—22no—
881C4×C47—24no—
882C4×C47C2×2−1+412yes—
883Dic47—24no—
884Dic47—21no—
885Dic47—24no—
886Dic47—24no—
887Dic47—24no—
888Dic47—24no—
889Dic47—22no—
890Dic47C2×2−1+412yes—
891Dic47#58514yes—
892#3557—474no—
893#3556—471no—
894#3555—474no—
895#3554—474no—
896#3553—471no—
897#3553—472no—
898#3553—471no—
899#3552—474no—
900#3550—472no—
901#3548—471no—
902#3541—474no—
903#3541—474no—
904#3531—471no—
905#3531—472no—
906#3531D4711yescharacteristic, complemented
907#3482—474no—
908#3480—474no—
909Q8×#41—474no—
910#3461—474no—
911#3461—474no—
912#3455—474no—
913#3444—472no—
914C2×#533—471no—
915C2×C47—41no—
916C2×C47—44no—
917C2×C47C22×2−1+411yescharacteristic
918C2×C47C2×#58512yes—
919D47—22no—
920D47—44no—
921D47—41no—
922#564—471no—
923#564—472no—
924#564C2×D4711yescharacteristic, complemented
925#563—474no—
926#563—474no—
927#563—474no—
928#563—472no—
929#563—472no—
930#563—472no—
931#563—474no—
932#563—474no—
933#563—474no—
934#563C2×D4714yes—
935#563C2×D4712yescomplemented
936#563C2×D4714yescomplemented
937#562—471no—
938#562—472no—
939#562—474no—
940#562—474no—
941#562—474no—
942#562C2×D4714yes—
943#562C2×D4711yescharacteristic, complemented
944#559—474no—
945#559—474no—
946#559—474no—
947Q82—474no—
948#557—474no—
949#557—474no—
950#557—474no—
951#557—474no—
952#557—474no—
953#556—474no—
954#556—474no—
955#556—474no—
956#556—474no—
957#556—474no—
958#556—474no—
959#554—474no—
960#554—474no—
961#554—474no—
962#554—474no—
963#554—474no—
964#554—474no—
965#554—474no—
966#554—474no—
967#554—474no—
968#553—474no—
969#553—474no—
970#553—474no—
971#553—474no—
972#553—474no—
973#553—474no—
974#552—474no—
975#552—474no—
976#552—474no—
977#552—474no—
978#552—474no—
979#552—474no—
980#550—474no—
981D4×Q8—474no—
982D4×Q8—474no—
983D4×Q8—474no—
984D4×Q8—474no—
985#548—474no—
986#548—474no—
987#548—474no—
988#548—474no—
989#547—474no—
990#547—474no—
991#547—474no—
992#544—474no—
993#544—474no—
994#542—474no—
995#542—474no—
996#542—474no—
997#542—474no—
998#542—474no—
999#542—474no—
1000#542—474no—
1001#542—474no—
1002#542—474no—
1003#542—474no—
1004#542—474no—
1005#542—474no—
1006#541—474no—
1007#541—474no—
1008#541—474no—
1009#541—474no—
1010#541—474no—
1011#541—474no—
1012#541—474no—
1013#541—474no—
1014#541—474no—
1015#541—474no—
1016#540—474no—
1017#540—474no—
1018#539—474no—
1019#539—474no—
1020#539—474no—
1021#539—474no—
1022#539—474no—
1023#539—474no—
1024#539—474no—
1025#539—474no—
1026#539—474no—
1027#539—474no—
1028#539—474no—
1029#539—474no—
1030#538—474no—
1031#538—474no—
1032#538—474no—
1033#538—474no—
1034#537—474no—
1035#537—474no—
1036#536—474no—
1037#536—474no—
1038#536—474no—
1039#536—474no—
1040#533—472no—
1041#533—471no—
1042#533—471no—
1043#533—472no—
1044#533—474no—
1045#533—472no—
1046#533—474no—
1047#533—472no—
1048#533—474no—
1049#533—474no—
1050#533—474no—
1051#533—474no—
1052#533—472no—
1053#533—474no—
1054#533—474no—
1055#533—471no—
1056#533C2×D4711yescharacteristic
1057#533C2×D4714yescomplemented
1058#532—472no—
1059#532—472no—
1060#532—472no—
1061#532—474no—
1062C2×C4⋊Q8—472no—
1063#529—474no—
1064#529—474no—
1065#529—472no—
1066#529—472no—
1067#529—474no—
1068#529—474no—
1069#529—474no—
1070#529—474no—
1071#529—474no—
1072#529—474no—
1073#529—474no—
1074#529—474no—
1075#529—474no—
1076#529—474no—
1077#529—474no—
1078#529—474no—
1079#529—474no—
1080#529—472no—
1081#529—474no—
1082#529C2×D4712yes—
1083#529C2×D4714yes—
1084#529C2×D4714yescomplemented
1085C2×#125—471no—
1086C2×#125—471no—
1087#525—474no—
1088#525—472no—
1089#525—472no—
1090#525—474no—
1091C2×C22⋊Q8—474no—
1092C4×#41—472no—
1093C4×#41—472no—
1094C4×#41—474no—
1095C4×#41—474no—
1096C4×#41—474no—
1097C4×#41—474no—
1098C4×#41—474no—
1099C4×#41—474no—
1100C2×C4×Q8—474no—
1101C2×C4×Q8—474no—
1102C2×C4×Q8—474no—
1103C2×#117—472no—
1104C22×C42—471no—
1105C47#6276111yescharacteristic, complemented, Sylow
1106C2×#41—472no—
1107C2×#41—472no—
1108C2×#41—474no—
1109C2×#41—474no—
1110C2×#41—474no—
1111C2×#41—474no—
1112C22×Q8—474no—
1113C22×Q8—474no—
1114C22×Q8—474no—
1115C23×C4—471no—
1116C23×C4—472no—
1117C4⋊Q8—474no—
1118C4⋊Q8—472no—
1119C4⋊Q8—474no—
1120C4⋊Q8—474no—
1121C4⋊Q8—474no—
1122C4⋊Q8—474no—
1123C4⋊Q8—474no—
1124C4⋊Q8—472no—
1125C4⋊Q8—472no—
1126C4⋊Q8—472no—
1127C4⋊Q8—472no—
1128C4⋊Q8—474no—
1129C4⋊Q8—474no—
1130C4⋊Q8—474no—
1131C4⋊Q8—474no—
1132C4⋊Q8—474no—
1133C4⋊Q8—474no—
1134C4⋊Q8—474no—
1135C4⋊Q8—474no—
1136C4⋊Q8—474no—
1137C4⋊Q8—472no—
1138C4⋊Q8C22×D4712yes—
1139C4⋊Q8C22×D4714yes—
1140C4⋊Q8C22×D4714yes—
1141#127—472no—
1142#127—474no—
1143#126—474no—
1144#126—474no—
1145#126—474no—
1146#126—474no—
1147#126—474no—
1148#126—474no—
1149#126—474no—
1150#126—474no—
1151#126—474no—
1152#126—474no—
1153#126—474no—
1154#126—474no—
1155#126—474no—
1156#126—474no—
1157#126—474no—
1158#126—474no—
1159#126—474no—
1160#126—474no—
1161#126—474no—
1162#126—474no—
1163#126—474no—
1164#126—474no—
1165#126—474no—
1166#126—474no—
1167#126—474no—
1168#126—474no—
1169#126—474no—
1170#126C22×D4714yes—
1171#126C22×D4714yes—
1172#126C22×D4714yes—
1173#126C22×D4714yes—
1174#126C22×D4714yes—
1175#125—474no—
1176#125—474no—
1177#125—472no—
1178#125—472no—
1179#125—474no—
1180#125—474no—
1181#125—474no—
1182#125—474no—
1183#125—474no—
1184#125—474no—
1185#125—474no—
1186#125—474no—
1187#125—474no—
1188#125—474no—
1189#125—474no—
1190#125—474no—
1191#125—474no—
1192#125—474no—
1193#125—474no—
1194#125—474no—
1195#125—474no—
1196#125—474no—
1197#125—474no—
1198#125—474no—
1199#125—474no—
1200#125—474no—
1201#125—474no—
1202#125—474no—
1203#125—474no—
1204#125—471no—
1205#125—471no—
1206#125—472no—
1207#125—474no—
1208#125C22×D4711yescharacteristic
1209#125C22×D4711yescharacteristic
1210#125C22×D4712yes—
1211#125C22×D4714yes—
1212#125C22×D4714yes—
1213#125C22×D4714yes—
1214#125C22×D4714yes—
1215#124—474no—
1216#124—474no—
1217#124—474no—
1218#124—474no—
1219#124—474no—
1220#124—474no—
1221#124—474no—
1222#124—474no—
1223#124—474no—
1224#124—474no—
1225#124—474no—
1226#124—474no—
1227#124—474no—
1228#124—474no—
1229#124—474no—
1230#124—472no—
1231#124—474no—
1232#124C22×D4712yes—
1233#124C22×D4714yes—
1234#124C22×D4714yes—
1235#123—474no—
1236#123—474no—
1237#123—474no—
1238#123—474no—
1239#123—474no—
1240#123—474no—
1241#123—474no—
1242#123—474no—
1243#123—474no—
1244#123—474no—
1245#123—474no—
1246#123—474no—
1247#123—474no—
1248#123—474no—
1249#123—474no—
1250#123—474no—
1251#123—474no—
1252#123—474no—
1253#123—474no—
1254#123—474no—
1255#123—474no—
1256#123—474no—
1257#123—474no—
1258#123—474no—
1259#123—474no—
1260#123—474no—
1261#123—474no—
1262#123—474no—
1263#123—474no—
1264#123C22×D4714yes—
1265#123C22×D4714yes—
1266#123C22×D4714yes—
1267#123C22×D4714yes—
1268#123C22×D4714yes—
1269C22⋊Q8—474no—
1270C22⋊Q8—472no—
1271C22⋊Q8—474no—
1272C22⋊Q8—474no—
1273C22⋊Q8—474no—
1274C22⋊Q8—474no—
1275C22⋊Q8—474no—
1276C22⋊Q8—474no—
1277C22⋊Q8—474no—
1278C22⋊Q8—472no—
1279C22⋊Q8—474no—
1280C22⋊Q8—474no—
1281C22⋊Q8—474no—
1282C22⋊Q8—474no—
1283C22⋊Q8—474no—
1284C22⋊Q8—474no—
1285C22⋊Q8—474no—
1286C22⋊Q8—472no—
1287C22⋊Q8—474no—
1288C22⋊Q8—474no—
1289C22⋊Q8—474no—
1290C22⋊Q8—474no—
1291C22⋊Q8—474no—
1292C22⋊Q8—474no—
1293C22⋊Q8—474no—
1294C22⋊Q8—474no—
1295C22⋊Q8—474no—
1296C22⋊Q8—474no—
1297C22⋊Q8—474no—
1298C22⋊Q8—474no—
1299C22⋊Q8—474no—
1300C22⋊Q8—474no—
1301C22⋊Q8—474no—
1302C22⋊Q8—474no—
1303C22⋊Q8—474no—
1304C22⋊Q8—474no—
1305C22⋊Q8—474no—
1306C22⋊Q8—474no—
1307C22⋊Q8—474no—
1308C22⋊Q8—474no—
1309C22⋊Q8—474no—
1310C22⋊Q8—474no—
1311C22⋊Q8—474no—
1312C22⋊Q8—474no—
1313C22⋊Q8—474no—
1314C22⋊Q8—474no—
1315C22⋊Q8—474no—
1316C22⋊Q8—474no—
1317C22⋊Q8—474no—
1318C22⋊Q8—474no—
1319C22⋊Q8C22×D4714yes—
1320C22⋊Q8C22×D4712yes—
1321C22⋊Q8C22×D4714yes—
1322C22⋊Q8C22×D4714yes—
1323C22⋊Q8C22×D4714yes—
1324C22⋊Q8C22×D4714yes—
1325C22⋊Q8C22×D4714yes—
1326C22⋊Q8C22×D4714yes—
1327#121—474no—
1328#121—472no—
1329#121—474no—
1330#121—474no—
1331#121—474no—
1332#121—474no—
1333#121—474no—
1334#121—474no—
1335#121—472no—
1336#121—474no—
1337#121—472no—
1338#121—474no—
1339#121—474no—
1340#121—474no—
1341#121—474no—
1342#121—474no—
1343#121—474no—
1344#121—474no—
1345#121—474no—
1346#121—474no—
1347#121—474no—
1348#121—474no—
1349#121—474no—
1350#121C22×D4712yes—
1351#121C22×D4714yes—
1352#121C22×D4714yes—
1353#120—474no—
1354#120—474no—
1355C4×Q8—474no—
1356C4×Q8—474no—
1357C4×Q8—472no—
1358C4×Q8—474no—
1359C4×Q8—474no—
1360C4×Q8—474no—
1361C4×Q8—474no—
1362C4×Q8—474no—
1363C4×Q8—474no—
1364C4×Q8—472no—
1365C4×Q8—474no—
1366C4×Q8—474no—
1367C4×Q8—474no—
1368C4×Q8—474no—
1369C4×Q8—474no—
1370C4×Q8—474no—
1371C4×Q8—474no—
1372C4×Q8—474no—
1373C4×Q8—474no—
1374C4×Q8—474no—
1375C4×Q8—474no—
1376C4×Q8—474no—
1377C4×Q8—474no—
1378C4×Q8—474no—
1379C4×Q8—474no—
1380C4×Q8—474no—
1381C4×Q8—474no—
1382C4×Q8—472no—
1383C4×Q8—474no—
1384C4×Q8—474no—
1385C4×Q8—474no—
1386C4×Q8C22×D4714yes—
1387C4×Q8C22×D4714yes—
1388C4×Q8C22×D4712yes—
1389C4×D4—474no—
1390C4×D4—472no—
1391C4×D4—474no—
1392C4×D4—474no—
1393C4×D4—474no—
1394C4×D4—474no—
1395C4×D4—474no—
1396C4×D4—474no—
1397C4×D4—474no—
1398C4×D4—474no—
1399C4×D4—474no—
1400C4×D4—474no—
1401C4×D4—474no—
1402C4×D4—474no—
1403C4×D4—474no—
1404C4×D4—474no—
1405C4×D4—474no—
1406C4×D4—472no—
1407C4×D4—474no—
1408C4×D4—474no—
1409C4×D4—474no—
1410C4×D4—474no—
1411C4×D4—474no—
1412C4×D4—474no—
1413C4×D4—474no—
1414C4×D4—474no—
1415C4×D4—474no—
1416C4×D4—474no—
1417C4×D4—474no—
1418C4×D4—474no—
1419C4×D4—474no—
1420C4×D4—474no—
1421C4×D4—474no—
1422C4×D4—474no—
1423C4×D4—472no—
1424C4×D4—474no—
1425C4×D4—474no—
1426C4×D4—474no—
1427C4×D4—474no—
1428C4×D4C22×D4714yes—
1429C4×D4C22×D4712yes—
1430C4×D4C22×D4714yes—
1431#117—472no—
1432#117—474no—
1433#117—474no—
1434#117—472no—
1435#117—472no—
1436#117—472no—
1437#117—472no—
1438#117—474no—
1439#117—474no—
1440#117—474no—
1441#117—474no—
1442#117—474no—
1443#117—474no—
1444#117—474no—
1445#117—474no—
1446#117—474no—
1447#117—474no—
1448#117—474no—
1449#117—474no—
1450#117—474no—
1451#117—474no—
1452#117—474no—
1453#117—474no—
1454#117C22×D4712yes—
1455#117C22×D4714yes—
1456#117C22×D4714yes—
1457C2×C4⋊C4—474no—
1458C2×C4⋊C4—474no—
1459C2×C4⋊C4—474no—
1460C2×C4⋊C4—472no—
1461C2×C4⋊C4—472no—
1462C2×C4⋊C4—474no—
1463C2×C4⋊C4—474no—
1464C2×C4⋊C4—474no—
1465C2×C4⋊C4—474no—
1466C2×C4⋊C4—474no—
1467C2×C4⋊C4—474no—
1468C2×C22⋊C4—474no—
1469C2×C42—474no—
1470C2×C42—474no—
1471C2×C42—471no—
1472C2×C42—472no—
1473C2×C42—474no—
1474C2×C42—472no—
1475C2×C42—474no—
1476C2×C42—474no—
1477C2×C42—474no—
1478C2×C42—472no—
1479C2×C42—471no—
1480C2×C42—471no—
1481C2×C42—471no—
1482C2×C42—471no—
1483C2×C42C22×D4714yes—
1484C2×C42C22×D4711yescharacteristic
1485C24—471no—
1486#41—9416no—
1487#41—1888no—
1488#41—1884no—
1489#41—1884no—
1490#41—1888no—
1491#41—1888no—
1492C2×Q8—474no—
1493C2×Q8—474no—
1494C2×Q8—474no—
1495C2×Q8—474no—
1496C2×Q8—474no—
1497C2×Q8—474no—
1498C2×Q8—474no—
1499C2×Q8—474no—
1500C2×Q8—472no—
1501C2×Q8—1888no—
1502C2×Q8—1888no—
1503C2×Q8—1888no—
1504C2×Q8C23×D4714yes—
1505C2×Q8C23×D4714yes—
1506C2×Q8C23×D4712yes—
1507C2×D4—474no—
1508C2×D4—474no—
1509C2×D4—474no—
1510C2×D4—474no—
1511C2×D4—474no—
1512C2×D4—474no—
1513C2×D4—474no—
1514C2×D4—474no—
1515C2×D4—474no—
1516C2×D4—472no—
1517C2×D4—474no—
1518C2×D4C23×D4714yes—
1519C2×D4C23×D4712yes—
1520C2×D4C23×D4714yes—
1521C22×C4—471no—
1522C22×C4—471no—
1523C22×C4—472no—
1524C22×C4—474no—
1525C22×C4—474no—
1526C22×C4—474no—
1527C22×C4—474no—
1528C22×C4—471no—
1529C22×C4—472no—
1530C22×C4—471no—
1531C22×C4—472no—
1532C22×C4—474no—
1533C22×C4—474no—
1534C22×C4—471no—
1535C22×C4—472no—
1536C22×C4—472no—
1537C22×C4—474no—
1538C22×C4—474no—
1539C22×C4—474no—
1540C22×C4—474no—
1541C22×C4—474no—
1542C22×C4—474no—
1543C22×C4—474no—
1544C22×C4—944no—
1545C22×C4—1884no—
1546C22×C4C23×D4714yes—
1547C22×C4C23×D4711yescharacteristic
1548C22×C4C23×D4712yes—
1549C22×C4C23×D4714yes—
1550C22×C4C23×D4714yes—
1551C4⋊C4—474no—
1552C4⋊C4—474no—
1553C4⋊C4—474no—
1554C4⋊C4—474no—
1555C4⋊C4—474no—
1556C4⋊C4—474no—
1557C4⋊C4—474no—
1558C4⋊C4—474no—
1559C4⋊C4—474no—
1560C4⋊C4—474no—
1561C4⋊C4—474no—
1562C4⋊C4—474no—
1563C4⋊C4—474no—
1564C4⋊C4—474no—
1565C4⋊C4—474no—
1566C4⋊C4—474no—
1567C4⋊C4—474no—
1568C4⋊C4—474no—
1569C4⋊C4—474no—
1570C4⋊C4—474no—
1571C4⋊C4—474no—
1572C4⋊C4—474no—
1573C4⋊C4—474no—
1574C4⋊C4—474no—
1575C4⋊C4—474no—
1576C4⋊C4—474no—
1577C4⋊C4—474no—
1578C4⋊C4—474no—
1579C4⋊C4—474no—
1580C4⋊C4—474no—
1581C4⋊C4—474no—
1582C4⋊C4—474no—
1583C4⋊C4—474no—
1584C4⋊C4—472no—
1585C4⋊C4—472no—
1586C4⋊C4—474no—
1587C4⋊C4—474no—
1588C4⋊C4—474no—
1589C4⋊C4—474no—
1590C4⋊C4—472no—
1591C4⋊C4—472no—
1592C4⋊C4—474no—
1593C4⋊C4—474no—
1594C4⋊C4—474no—
1595C4⋊C4—474no—
1596C4⋊C4C23×D4712yes—
1597C4⋊C4C23×D4712yes—
1598C4⋊C4C23×D4714yes—
1599C4⋊C4C23×D4714yes—
1600C4⋊C4C23×D4714yes—
1601C4⋊C4C23×D4714yes—
1602C4⋊C4C23×D4714yes—
1603C4⋊C4C23×D4714yes—
1604C4⋊C4C23×D4712yes—
1605C4⋊C4C23×D4714yes—
1606C4⋊C4C23×D4712yes—
1607C4⋊C4C23×D4714yes—
1608C4⋊C4C23×D4714yes—
1609C4⋊C4C23×D4714yes—
1610C4⋊C4C23×D4714yes—
1611C4⋊C4C23×D4714yes—
1612C4⋊C4C23×D4714yes—
1613C22⋊C4—474no—
1614C22⋊C4—474no—
1615C22⋊C4—474no—
1616C22⋊C4—474no—
1617C22⋊C4—474no—
1618C22⋊C4—474no—
1619C22⋊C4—474no—
1620C22⋊C4—474no—
1621C22⋊C4—474no—
1622C22⋊C4—474no—
1623C22⋊C4—474no—
1624C22⋊C4—474no—
1625C22⋊C4—474no—
1626C22⋊C4—474no—
1627C22⋊C4—474no—
1628C22⋊C4—474no—
1629C22⋊C4—474no—
1630C22⋊C4—474no—
1631C22⋊C4—474no—
1632C22⋊C4—474no—
1633C22⋊C4—474no—
1634C22⋊C4—474no—
1635C22⋊C4—474no—
1636C22⋊C4—474no—
1637C22⋊C4—474no—
1638C22⋊C4—474no—
1639C22⋊C4—474no—
1640C22⋊C4—474no—
1641C22⋊C4C23×D4714yes—
1642C22⋊C4C23×D4714yes—
1643C22⋊C4C23×D4714yes—
1644C22⋊C4C23×D4714yes—
1645C22⋊C4C23×D4714yes—
1646C22⋊C4C23×D4714yes—
1647C22⋊C4C23×D4714yes—
1648C22⋊C4C23×D4714yes—
1649C22⋊C4C23×D4714yes—
1650C22⋊C4C23×D4714yes—
1651C42—471no—
1652C42—472no—
1653C42—471no—
1654C42—472no—
1655C42—472no—
1656C42—472no—
1657C42—474no—
1658C42—474no—
1659C42—474no—
1660C42—474no—
1661C42—474no—
1662C42—474no—
1663C42—474no—
1664C42—474no—
1665C42—474no—
1666C42—474no—
1667C42—474no—
1668C42—474no—
1669C42—472no—
1670C42—474no—
1671C42—474no—
1672C42C23×D4711yescharacteristic
1673C42C23×D4711yescharacteristic
1674C42C23×D4714yes—
1675C42C23×D4714yes—
1676C42C23×D4714yes—
1677C42C23×D4712yes—
1678C42C23×D4714yes—
1679C23—471no—
1680C23—471no—
1681C23—474no—
1682C23—942no—
1683C23—1882no—
1684C23C24×D4711yescharacteristic
1685C23C24×D4714yes—
1686Q8—44no—
1687Q8—44no—
1688Q8—42no—
1689Q8—948no—
1690Q8—948no—
1691Q8—948no—
1692Q8—948no—
1693Q8—1884no—
1694Q8—1884no—
1695Q8—1884no—
1696Q8—1884no—
1697Q8—1882no—
1698D4—42no—
1699D4—44no—
1700D4—44no—
1701D4—948no—
1702D4—948no—
1703D4—948no—
1704D4—948no—
1705D4—1882no—
1706D4—1884no—
1707D4—1884no—
1708D4—1884no—
1709D4—1884no—
1710D4—1884no—
1711D4—1884no—
1712C2×C4—22no—
1713C2×C4—28no—
1714C2×C4—42no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—471no—
1718C2×C4—472no—
1719C2×C4—474no—
1720C2×C4—472no—
1721C2×C4—474no—
1722C2×C4—471no—
1723C2×C4—474no—
1724C2×C4—474no—
1725C2×C4—474no—
1726C2×C4—474no—
1727C2×C4—942no—
1728C2×C4—944no—
1729C2×C4—944no—
1730C2×C4—948no—
1731C2×C4—942no—
1732C2×C4—942no—
1733C2×C4—944no—
1734C2×C4—948no—
1735C2×C4—942no—
1736C2×C4—948no—
1737C2×C4—1882no—
1738C2×C4—1882no—
1739C2×C4—1884no—
1740C2×C4—1884no—
1741C2×C4—1884no—
1742C2×C4—1884no—
1743C2×C4—1884no—
1744C2×C4—1884no—
1745C2×C4—1884no—
1746C2×C4—1884no—
1747C2×C4—1884no—
1748C2×C4—1884no—
1749C2×C4C24×D4714yes—
1750C2×C4C24×D4711yescharacteristic
1751C2×C4C24×D4712yes—
1752C2×C4C24×D4714yes—
1753C2×C4C24×D4714yes—
1754C2×C4C24×D4714yes—
1755C2×C4C24×D4712yes—
1756C2×C4C24×D4714yes—
1757C2×C4C24×D4711yescharacteristic
1758C22—21no—
1759C22—24no—
1760C22—24no—
1761C22—22no—
1762C22—24no—
1763C22—472no—
1764C22—942no—
1765C22—941no—
1766C22—944no—
1767C22—944no—
1768C22—942no—
1769C22—944no—
1770C22—1884no—
1771C22C25×D4711yescharacteristic
1772C4—21no—
1773C4—24no—
1774C4—22no—
1775C4—24no—
1776C4—22no—
1777C4—24no—
1778C4—24no—
1779C4—24no—
1780C4—472no—
1781C4—474no—
1782C4—941no—
1783C4—944no—
1784C4—942no—
1785C4—944no—
1786C4—944no—
1787C4—944no—
1788C4—944no—
1789C42−1+4×D4712yes—
1790C2—41no—
1791C2—44no—
1792C2—942no—
1793C2—1881no—
1794C2—1884no—
1795C2C2×2−1+4×D4711yescharacteristic
1796C2#585×D4712yes—
subgroupG/H
centerC2×C4C24×D47
commutator, socle, cosocleC22×C47C26
FrattiniC22C25×D47
FittingC47×#3531C2
hypercenter#3531D47
hypocenterC47#62761
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ #3531

Complements

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

NH ≅ G/Ntype
1. #20257888C2semidirect
2. #20257882C2semidirect
3. #20257867C2semidirect
4. #20257850C2semidirect
5. #20257845C2semidirect
6. #20257843C2semidirect
7. #20257839C2semidirect
8. #20257822C2semidirect
9. #20257798C2semidirect
10. #20257784C2semidirect
11. #20257678C2semidirect
12. #20257670C2semidirect
13. #20257535C2semidirect
14. #20257533C2semidirect
15. #20257001C2semidirect
16. #20256979C2semidirect
17. #20256966C2semidirect
18. #20256819C2semidirect
19. #20256817C2semidirect
20. #20256771C2semidirect
21. #20256682C2semidirect
22. #533×D47C2semidirect
23. C47×#3531C2semidirect
24. C47⋊#564C22semidirect
25. C47⋊#564C22semidirect
26. #15689877C22semidirect
27. #15689877C22semidirect
29. #15689875C22semidirect
30. #15689875C22semidirect
33. #15689873C22semidirect
34. #15689872C22semidirect
35. #15689871C22semidirect
39. #15689867C22semidirect
40. #15689857C22semidirect
41. #15689857C22semidirect
42. #15689855C22semidirect
43. #15689853C22semidirect
44. #15689850C22semidirect
45. #15689850C22semidirect
46. #15689850C22semidirect
47. #15689850C22semidirect
48. #15689848C22semidirect
49. #15689844C22semidirect
52. #15689840C22semidirect
53. #15689840C22semidirect
54. #15689840C22semidirect
57. #15689831C22semidirect
62. #15689827C22semidirect
63. #15689827C22semidirect
70. #15689815C22semidirect
71. #15689811C22semidirect
73. #15689810C22semidirect
75. #15689809C22semidirect
76. #15689791C22semidirect
79. #15689786C22semidirect
80. #15689786C22semidirect
87. #15689771C22semidirect
88. #15689752C22semidirect
89. #15689750C22semidirect
94. #15689743C22semidirect
101. #15689737C22semidirect
102. #15689734C22semidirect
103. #15689733C22semidirect
107. #15689732C22semidirect
108. #15689732C22semidirect
110. #15689730C22semidirect
111. #15689730C22semidirect
117. #15689721C22semidirect
120. #15689719C22semidirect
121. #15689718C22semidirect
123. #15689717C22semidirect
133. #15689696C22semidirect
135. #15689695C22semidirect
144. #15689677C22semidirect
145. #15689677C22semidirect
146. #15689677C22semidirect
148. #15689676C22semidirect
149. #15689676C22semidirect
158. #15689660C22semidirect
167. #15689653C22semidirect
168. #15689653C22semidirect
173. #15689651C22semidirect
174. #15689651C22semidirect
185. C4×#10625350C22semidirect
190. C4×#10625352C22semidirect
191. C2×C4×Dic94C22semidirect
193. C4×Q8×D47C22semidirect
196. C47×#564C22semidirect
198. C47×#563C22semidirect
199. C47×#563C22semidirect
201. C47×#562C22semidirect
203. C47×#533C22semidirect
206. C47×#529C22semidirect
906. #3531D47semidirect
924. #564C2×D47semidirect
935. #563C2×D47semidirect
936. #563C2×D47semidirect
943. #562C2×D47semidirect
1057. #533C2×D47semidirect
1084. #529C2×D47semidirect
1105. C47#62761semidirect

Maximal subgroups

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

subgroupindex
#202578882
#202578822
#202578672
#202578502
#202578452
#202578432
#202578392
#202578222
#202577982
#202577842
#202576782
#202576702
#202575352
#202575332
#202570012
#202569792
#202569662
#202568192
#202568172
#202567712
#202566822
#533×D472
C47×#35312
#6276147