Finite Group Databasebeta

← #35197263

Subgroups — #35197263

Order 20224.

6608 conjugacy classes of subgroups.

The subgroup lattice has 2124 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778086C214yesmaximal, complemented
2#23778085C214yesmaximal, complemented
3#23777893C211yesmaximal, characteristic, complemented
4#23777795C212yesmaximal, complemented
5#23777794C211yesmaximal, characteristic, complemented
6#23777660C211yesmaximal, characteristic, complemented
7#23777656C212yesmaximal, complemented
8#23777654C214yesmaximal, complemented
9#23777654C214yesmaximal, complemented
10#23777405C212yesmaximal, complemented
11#23777403C212yesmaximal, complemented
12#23777402C214yesmaximal, complemented
13#23777399C212yesmaximal, complemented
14#23777397C212yesmaximal, complemented
15#23777375C212yesmaximal, complemented
16#23777374C212yesmaximal, complemented
17#23777371C212yesmaximal, complemented
18#23777370C214yesmaximal, complemented
19#23777365C212yesmaximal, complemented
20#23777323C211yesmaximal, characteristic, complemented
21#23777321C212yesmaximal, complemented
22#23777319C211yesmaximal, characteristic, complemented
23#23777318C214yesmaximal, complemented
24#23777316C214yesmaximal, complemented
25#23776692C212yesmaximal, complemented
26#23776692C211yesmaximal, characteristic, complemented
27C79×#3539C211yesmaximal, characteristic, complemented
28C79⋊#564C2214yescomplemented
29#19099310C2214yescomplemented
30#19099309C2214yescomplemented
31#19099308C2214yescomplemented
32#19099302C2214yes—
33#19099302C2214yes—
34#19099302C2214yes—
35#19099291C2212yescomplemented
36#19099290C2214yescomplemented
37#19099290C2212yescomplemented
38#19099289C2212yescomplemented
39#19099288C2212yescomplemented
40#19099272C2212yescomplemented
41#19099271C2212yescomplemented
42#19099269C2212yescomplemented
43#19099268C2212yescomplemented
44#19099267C2214yescomplemented
45#19099266C2214yescomplemented
46#19099265C2214yes—
47#19099265C2214yes—
48#19099265C2214yescomplemented
49#19099264C2214yes—
50#19099264C2214yes—
51#19099264C2214yescomplemented
52#19099263C2214yes—
53#19099263C2214yescomplemented
54#19099262C2214yes—
55#19099262C2214yescomplemented
56#19099261C2214yescomplemented
57#19099260C2214yes—
58#19099260C2214yes—
59#19099260C2212yes—
60#19099260C2214yescomplemented
61#19099259C2212yes—
62#19099259C2214yescomplemented
63#19099258C2214yes—
64#19099258C2214yes—
65#19099258C2214yes—
66#19099258C2214yescomplemented
67#19099258C2214yescomplemented
68#19099257C2212yes—
69#19099256C2214yes—
70#19099256C2214yes—
71#19099256C2214yes—
72#19099256C2214yes—
73#19099256C2214yescomplemented
74#19099256C2214yescomplemented
75#19099255C2214yescomplemented
76#19099253C2212yes—
77#19099253C2214yescomplemented
78#19099252C2212yes—
79#19099252C2214yescomplemented
80#19099251C2214yescomplemented
81#19099250C2214yes—
82#19099250C2214yes—
83#19099250C2214yescomplemented
84#19099250C2214yescomplemented
85#19099249C2214yes—
86#19099249C2214yes—
87#19099249C2214yescomplemented
88#19099248C2214yescomplemented
89#19099247C2212yes—
90#19099247C2214yescomplemented
91#19099246C2214yescomplemented
92#19099245C2214yescomplemented
93#19099245C2214yescomplemented
94#19099234C2212yes—
95#19099234C2212yescomplemented
96#19099233C2214yes—
97#19099233C2214yes—
98#19099233C2212yescomplemented
99#19099232C2212yes—
100#19099232C2212yescomplemented
101#19099231C2214yes—
102#19099231C2214yes—
103#19099231C2212yes—
104#19099231C2212yescomplemented
105#19099231C2214yescomplemented
106#19099218C2212yes—
107#19099215C2212yes—
108#19099215C2212yescomplemented
109#19099214C2212yescomplemented
110#19099213C2214yes—
111#19099213C2214yes—
112#19099213C2212yescomplemented
113#19099212C2212yes—
114#19099212C2212yescomplemented
115#19099211C2214yes—
116#19099211C2214yes—
117#19099211C2214yescomplemented
118#19099176C2211yescharacteristic, complemented
119#19099175C2211yescharacteristic
120#19099174C2211yescharacteristic, complemented
121#19099173C2212yes—
122#19099173C2212yescomplemented
123#19099172C2214yescomplemented
124#19099170C2214yes—
125#19099170C2214yes—
126#19099170C2214yescomplemented
127#19099169C2211yescharacteristic, complemented
128#19099168C2211yescharacteristic
129#19099167C2214yes—
130#19099167C2214yes—
131#19099167C2211yescharacteristic, complemented
132#19099166C2212yes—
133#19099166C2214yes—
134#19099166C2214yes—
135#19099166C2212yescomplemented
136#19099165C2214yes—
137#19099165C2214yes—
138#19099165C2214yes—
139#19099165C2214yescomplemented
140#19099164C2214yes—
141#19099163C2214yes—
142#19099163C2214yes—
143#19099163C2214yes—
144#19099163C2214yes—
145#19099163C2214yes—
146#19099163C2214yescomplemented
147#19099159C2214yes—
148#19099158C2214yes—
149#19099158C2214yes—
150#19099157C2214yes—
151#19099157C2214yes—
152#19099156C2214yes—
153#19099156C2214yes—
154#19099156C2214yes—
155#19099155C2214yes—
156#19099154C2214yes—
157#19099154C2214yes—
158#19099143C2212yes—
159#19099142C2214yes—
160#19099142C2214yes—
161#19099142C2212yes—
162#19099141C2212yes—
163#19099140C2214yes—
164#19099140C2214yes—
165#19099116C2211yescharacteristic
166#19099116C2212yes—
167#19099115C2212yes—
168#19099115C2212yes—
169#19099115C2212yes—
170#19099114C2211yescharacteristic, complemented
171#19099111C2211yescharacteristic, complemented
172#19099110C2214yescomplemented
173#19099109C2211yescharacteristic
174#19099109C2212yes—
175#19099109C2212yescomplemented
176#19099108C2212yes—
177#19099108C2212yes—
178#19099108C2212yes—
179#19099108C2214yescomplemented
180#19099100C2212yescomplemented
181#19099099C2212yes—
182#19099099C2212yes—
183#19099099C2212yes—
184#19099099C2212yescomplemented
185#19099096C2214yescomplemented
186#19099095C2212yescomplemented
187#19099094C2212yes—
188#19099094C2212yes—
189#19099094C2212yes—
190#19099094C2212yescomplemented
191#19099093C2214yes—
192#19099093C2214yes—
193#19099093C2212yes—
194#19099093C2212yes—
195#19099093C2214yescomplemented
196#19099091C2214yescomplemented
197#19099090C2212yes—
198#19099090C2214yes—
199#19099090C2212yes—
200#19099090C2214yes—
201#19099090C2214yescomplemented
202C2×#14579152C2212yescomplemented
203C2×#14579151C2214yescomplemented
204#125×D79C2214yescomplemented
205#125×D79C2211yescharacteristic, complemented
206#125×D79C2211yescharacteristic, complemented
207#19099074C2211yescharacteristic
208#19099074C2212yes—
209#19099069C2214yes—
210#19099069C2212yes—
211#19099069C2214yes—
212#19099069C2212yes—
213#19099046C2212yescomplemented
214#19099045C2212yescomplemented
215#19099044C2214yescomplemented
216#19099044C2212yescomplemented
217#19099043C2214yescomplemented
218#19099042C2214yescomplemented
219#19099042C2214yescomplemented
220#19099042C2212yescomplemented
221#41×Dic79C2211yescharacteristic
222#41×Dic79C2212yes—
223#19099031C2211yescharacteristic
224#19099031C2212yes—
225C4×#11929623C2214yes—
226C4×#11929623C2214yes—
227C4×#11929623C2212yes—
228C4×#11929623C2212yes—
229C22×C4×Dic79C2211yescharacteristic
230#560×C79C2214yes—
231#553×C79C2214yes—
232#553×C79C2212yes—
233#552×C79C2212yes—
234#550×C79C2212yes—
235#547×C79C2212yes—
236#541×C79C2211yescharacteristic
237#540×C79C2211yescharacteristic
238#540×C79C2214yes—
239#539×C79C2214yes—
240#537×C79C2212yes—
241#525×C79C2212yes—
242#525×C79C2211yescharacteristic
243C2×#11929625C2312yes—
244C2×#11929624C2312yes—
245C2×#11929624C2311yescharacteristic
246C2×#11929624C2314yes—
247C2×#11929624C2314yes—
248C2×#11929624C2312yes—
249C2×#11929623C2314yes—
250C2×#11929623C2314yes—
251C2×#11929623C2314yes—
252C2×#11929623C2312yes—
253C2×#11929623C2312yes—
254C2×#11929623C2314yes—
255C2×#11929623C2312yes—
256C23×Dic79C2312yes—
257#14579161C2311yescharacteristic
258#14579160C2314yes—
259#14579160C2314yes—
260#14579160C2312yes—
261#14579160C2312yes—
262#14579160C2312yes—
263#14579159C2312yes—
264#14579159C2312yes—
265#14579159C2311yescharacteristic
266#14579158C2311yescharacteristic
267#14579157C2314yes—
268#14579157C2314yes—
269#14579157C2314yes—
270#14579157C2314yes—
271#14579157C2314yes—
272#14579157C2312yes—
273#14579157C2311yescharacteristic
274#14579157C2312yes—
275#14579156C2314yes—
276#14579156C2314yes—
277#14579156C2314yes—
278#14579156C2314yes—
279#14579156C2314yes—
280#14579156C2312yes—
281#14579156C2314yes—
282#14579156C2314yes—
283#14579156C2312yes—
284#14579155C2314yes—
285#14579154C2314yes—
286#14579154C2314yes—
287#14579154C2314yes—
288#14579154C2314yes—
289#14579154C2314yes—
290#14579154C2314yes—
291#14579154C2314yes—
292#14579154C2314yes—
293#14579154C2314yes—
294#14579154C2314yes—
295#14579154C2314yes—
296#14579154C2314yes—
297#14579154C2314yes—
298#14579154C2312yes—
299#14579154C2312yes—
300#14579153C2314yes—
301#14579153C2314yes—
302#14579153C2314yes—
303#14579153C2311yescharacteristic
304#14579153C2311yescharacteristic
305#14579152C2314yes—
306#14579152C2314yes—
307#14579152C2314yes—
308#14579152C2314yes—
309#14579152C2314yes—
310#14579152C2314yes—
311#14579152C2314yes—
312#14579152C2312yes—
313#14579152C2312yes—
314#14579152C2312yes—
315#14579152C2312yes—
316#14579152C2312yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579151C2314yes—
321#14579151C2314yes—
322#14579151C2314yes—
323#14579151C2314yes—
324#14579151C2314yes—
325#14579151C2314yes—
326#14579151C2314yes—
327#14579151C2314yes—
328#14579151C2314yes—
329#14579151C2314yes—
330#14579151C2314yes—
331#14579151C2314yes—
332#14579151C2314yes—
333#14579151C2314yes—
334#14579151C2312yes—
335#14579151C2314yes—
336#14579151C2312yes—
337#14579150C2311yescharacteristic
338#14579150C2312yes—
339#14579148C2311yescharacteristic
340#14579148C2312yes—
341#14579147C2314yes—
342#14579147C2312yes—
343#14579147C2312yes—
344#14579147C2314yes—
345#14579146C2314yes—
346#14579146C2314yes—
347#14579146C2314yes—
348#14579146C2314yes—
349#14579146C2314yes—
350#14579146C2314yes—
351#14579145C2312yes—
352#14579145C2314yes—
353#14579145C2314yes—
354#14579145C2312yes—
355#14579145C2314yes—
356#14579145C2314yes—
357#14579145C2314yes—
358#14579144C2314yes—
359#14579144C2314yes—
360#14579144C2314yes—
361#14579144C2314yes—
362#14579144C2311yescharacteristic
363#14579144C2311yescharacteristic
364#14579143C2314yes—
365#14579143C2314yes—
366#14579143C2314yes—
367#14579143C2314yes—
368#14579143C2314yes—
369#14579143C2314yes—
370#14579143C2314yes—
371#14579143C2314yes—
372#14579143C2314yes—
373#14579143C2314yes—
374#14579143C2314yes—
375#14579143C2314yes—
376#14579142C2314yes—
377#14579142C2312yes—
378#14579142C2314yes—
379#14579142C2314yes—
380#14579142C2312yes—
381#14579142C2314yes—
382#14579142C2314yes—
383#14579142C2314yes—
384#14579142C2314yes—
385#14579142C2314yes—
386#14579142C2314yes—
387#14579141C2314yes—
388#14579141C2314yes—
389#14579141C2312yes—
390#14579140C2312yes—
391#14579140C2312yes—
392#14579140C2314yes—
393#14579140C2314yes—
394#14579140C2312yes—
395#14579140C2312yes—
396#14579139C2314yes—
397#14579139C2314yes—
398#14579139C2314yes—
399#14579139C2314yes—
400#14579139C2314yes—
401#14579138C2312yes—
402#14579138C2314yes—
403#14579138C2314yes—
404#14579138C2314yes—
405#14579138C2312yes—
406#14579138C2314yes—
407#14579138C2314yes—
408#14579138C2314yes—
409#14579138C2314yes—
410#14579138C2314yes—
411#14579138C2312yes—
412#14579138C2314yes—
413#14579138C2312yes—
414#14579137C2314yes—
415#14579137C2312yes—
416#14579136C2314yes—
417#14579136C2312yes—
418#14579136C2314yes—
419#14579136C2314yes—
420#14579135C2314yes—
421#14579135C2314yes—
422#14579135C2312yes—
423#14579135C2312yes—
424#14579135C2312yes—
425#14579135C2314yes—
426#14579135C2312yes—
427#14579134C2314yes—
428#14579134C2314yes—
429#14579134C2314yes—
430#14579134C2314yes—
431#14579134C2314yes—
432#14579134C2314yes—
433#14579134C2314yes—
434#14579134C2314yes—
435#14579134C2314yes—
436#14579134C2314yes—
437#14579134C2314yes—
438#14579134C2314yes—
439#14579134C2314yes—
440#14579133C2312yes—
441#14579133C2314yes—
442#14579133C2314yes—
443#14579133C2314yes—
444#14579133C2314yes—
445#14579133C2314yes—
446#14579133C2314yes—
447#14579133C2314yes—
448#14579133C2312yes—
449#14579133C2314yes—
450#14579133C2314yes—
451#14579133C2314yes—
452#14579133C2314yes—
453#14579133C2314yes—
454#14579133C2314yes—
455#14579133C2314yes—
456#14579133C2314yes—
457#14579133C2314yes—
458#14579133C2314yes—
459#14579133C2314yes—
460#14579133C2312yes—
461#14579133C2314yes—
462#14579133C2312yes—
463#14579132C2314yes—
464#14579132C2314yes—
465#14579132C2314yes—
466#14579132C2314yes—
467#14579132C2314yes—
468#14579132C2312yes—
469#14579132C2314yes—
470#14579132C2314yes—
471#14579132C2314yes—
472#14579132C2314yes—
473#14579132C2314yes—
474#14579130C2314yes—
475#14579130C2311yescharacteristic
476#14579130C2311yescharacteristic
477Q8×Dic79C2312yes—
478Q8×Dic79C2312yes—
479Q8×Dic79C2312yes—
480Q8×Dic79C2312yes—
481C4×Dic158C2314yes—
482C4×Dic158C2314yes—
483C4×Dic158C2314yes—
484C4×Dic158C2312yes—
485C4×Dic158C2312yes—
486C4×Dic158C2312yes—
487C4×Dic158C2314yes—
488#14579126C2314yes—
489#14579126C2314yes—
490#14579126C2312yes—
491#14579126C2312yes—
492#14579126C2312yes—
493#14579126C2312yes—
494#14579126C2314yes—
495#14579126C2312yes—
496#14579126C2312yes—
497#14579126C2314yes—
498C4×D316C2314yes—
499C4×D316C2314yes—
500C4×D316C2314yes—
501C4×D316C2312yes—
502D4×Dic79C2312yes—
503D4×Dic79C2314yes—
504D4×Dic79C2312yes—
505D4×Dic79C2314yes—
506D4×Dic79C2314yes—
507D4×Dic79C2312yes—
508D4×Dic79C2312yes—
509D4×Dic79C2314yes—
510D4×Dic79C2314yes—
511D4×Dic79C2312yes—
512D4×Dic79C2314yes—
513D4×Dic79C2314yes—
514D4×Dic79C2312yes—
515D4×Dic79C2314yes—
516D4×Dic79C2312yes—
517D4×Dic79C2312yes—
518#14579123C2314yes—
519#14579123C2312yes—
520#14579123C2314yes—
521#14579123C2314yes—
522#14579123C2312yes—
523#14579123C2312yes—
524#14579123C2312yes—
525C4×C22⋊D79C2314yes—
526C4×C22⋊D79C2314yes—
527C4×C22⋊D79C2314yes—
528C4×C22⋊D79C2314yes—
529C4×C22⋊D79C2314yes—
530C4×C22⋊D79C2314yes—
531C4×C22⋊D79C2314yes—
532C4×C22⋊D79C2314yes—
533C4×C22⋊D79C2314yes—
534C4×C22⋊D79C2314yes—
535C4×C22⋊D79C2314yes—
536C4×C22⋊D79C2312yes—
537C4×C22⋊D79C2312yes—
538C4×C22⋊D79C2312yes—
539C4×C22⋊D79C2312yes—
540C4×C22⋊D79C2314yes—
541C4×C22⋊D79C2314yes—
542(C22⋊D79)⋊C4C2312yes—
543(C22⋊D79)⋊C4C2314yes—
544(C22⋊D79)⋊C4C2312yes—
545(C22⋊D79)⋊C4C2314yes—
546(C22⋊D79)⋊C4C2314yes—
547(C22⋊D79)⋊C4C2314yes—
548(C22⋊D79)⋊C4C2314yes—
549(C22⋊D79)⋊C4C2314yes—
550(C22⋊D79)⋊C4C2314yes—
551(C22⋊D79)⋊C4C2312yes—
552(C22⋊D79)⋊C4C2314yes—
553(C22⋊D79)⋊C4C2312yes—
554(C22⋊D79)⋊C4C2314yes—
555(C22⋊D79)⋊C4C2314yes—
556(C22⋊D79)⋊C4C2314yes—
557(C22⋊D79)⋊C4C2312yes—
558(C22⋊D79)⋊C4C2314yes—
559(C22⋊D79)⋊C4C2314yes—
560(C22⋊D79)⋊C4C2312yes—
561#14579120C2311yescharacteristic
562#14579120C2314yes—
563#14579120C2314yes—
564#14579120C2312yes—
565#14579120C2312yes—
566#14579120C2314yes—
567#14579119C2314yes—
568#14579119C2314yes—
569#14579119C2314yes—
570#14579119C2314yes—
571#14579119C2314yes—
572#14579119C2312yes—
573#14579119C2312yes—
574#14579118C2314yes—
575#14579118C2314yes—
576#14579118C2314yes—
577#14579118C2311yescharacteristic
578#14579118C2311yescharacteristic
579#14579118C2314yes—
580#14579117C2314yes—
581#14579117C2314yes—
582#14579117C2314yes—
583#14579117C2314yes—
584#14579117C2314yes—
585#14579117C2312yes—
586#14579117C2312yes—
587#14579117C2314yes—
588#14579117C2312yes—
589#14579117C2314yes—
590#14579117C2312yes—
591C2×C4⋊Dic79C2312yes—
592C2×C4⋊Dic79C2314yes—
593C2×C4⋊Dic79C2314yes—
594C2×Dic79⋊C4C2314yes—
595C2×Dic79⋊C4C2314yes—
596C2×Dic79⋊C4C2314yes—
597C2×Dic79⋊C4C2314yes—
598C2×Dic79⋊C4C2314yes—
599C4⋊C4×D79C2314yes—
600C4⋊C4×D79C2312yes—
601C4⋊C4×D79C2314yes—
602C4⋊C4×D79C2312yes—
603C4⋊C4×D79C2314yes—
604C4⋊C4×D79C2314yes—
605C4⋊C4×D79C2314yes—
606C4⋊C4×D79C2314yes—
607C4⋊C4×D79C2314yes—
608C4⋊C4×D79C2314yes—
609C2×C4×Dic79C2312yes—
610C2×C4×Dic79C2312yes—
611C2×C4×Dic79C2312yes—
612C2×C4×Dic79C2312yes—
613C2×C4×Dic79C2311yescharacteristic
614C2×C4×Dic79C2312yes—
615C2×C4×Dic79C2311yescharacteristic
616C2×C4×Dic79C2314yes—
617C2×C4×Dic79C2312yes—
618C42×D79C2314yes—
619C42×D79C2311yescharacteristic
620C42×D79C2311yescharacteristic
621C2×#41×C79C2311yescharacteristic
622C2×#41×C79C2312yes—
623C2×#41×C79C2312yes—
624C23×C4×C79C2311yescharacteristic
625C4⋊Q8×C79C2311yescharacteristic
626#127×C79C2314yes—
627#127×C79C2311yescharacteristic
628#126×C79C2314yes—
629#126×C79C2314yes—
630#126×C79C2314yes—
631#125×C79C2311yescharacteristic
632#125×C79C2314yes—
633#125×C79C2311yescharacteristic
634#125×C79C2314yes—
635#123×C79C2314yes—
636#123×C79C2314yes—
637#123×C79C2314yes—
638#123×C79C2314yes—
639#123×C79C2314yes—
640#123×C79C2314yes—
641#123×C79C2312yes—
642C22⋊Q8×C79C2312yes—
643C22⋊Q8×C79C2312yes—
644C22⋊Q8×C79C2312yes—
645C22⋊Q8×C79C2312yes—
646C22⋊Q8×C79C2314yes—
647#121×C79C2314yes—
648#121×C79C2314yes—
649#121×C79C2314yes—
650#121×C79C2312yes—
651#121×C79C2314yes—
652#121×C79C2314yes—
653#121×C79C2312yes—
654#121×C79C2314yes—
655#121×C79C2314yes—
656#121×C79C2312yes—
657#121×C79C2312yes—
658#121×C79C2314yes—
659#120×C79C2312yes—
660#120×C79C2314yes—
661C4×Q8×C79C2312yes—
662C4×D4×C79C2314yes—
663C4×D4×C79C2312yes—
664C4×D4×C79C2312yes—
665C4×D4×C79C2312yes—
666C4×D4×C79C2314yes—
667C4×D4×C79C2314yes—
668C4×D4×C79C2314yes—
669#117×C79C2311yescharacteristic
670#117×C79C2312yes—
671#117×C79C2314yes—
672C2×C4⋊C4×C79C2312yes—
673C2×C4⋊C4×C79C2314yes—
674#11929625—44no—
675#11929624—48no—
676#11929624—48no—
677#11929624—44no—
678#11929624—44no—
679#11929624—42no—
680#11929623—48no—
681#11929623—44no—
682#11929623—48no—
683#11929623—48no—
684#11929623—44no—
685#11929623—44no—
686#11929623—48no—
687C2×Dic158C2412yes—
688C2×Dic158C2414yes—
689C2×Dic158C2412yes—
690C2×Dic158C2412yes—
691C2×Dic158C2414yes—
692C2×Dic158C2411yescharacteristic
693C2×D316C2412yes—
694C2×D316C2414yes—
695C2×D316C2411yescharacteristic
696C2×D316C2414yes—
697C2×D316C2414yes—
698C2×C22⋊D79C2412yes—
699C2×C22⋊D79C2414yes—
700C2×C22⋊D79C2412yes—
701C2×C22⋊D79C2414yes—
702C2×C22⋊D79C2412yes—
703C2×C22⋊D79C2414yes—
704C2×C22⋊D79C2412yes—
705C2×C22⋊D79C2414yes—
706C2×C22⋊D79C2414yes—
707C2×C22⋊D79C2414yes—
708C2×C22⋊D79C2414yes—
709C2×C22⋊D79C2411yescharacteristic
710C2×C22⋊D79C2414yes—
711C2×C22⋊D79C2411yescharacteristic
712C2×C22⋊D79C2414yes—
713C2×C22⋊D79C2414yes—
714C2×C22⋊D79C2414yes—
715C22×Dic79—44no—
716C22×Dic79C2414yes—
717C22×Dic79C2412yes—
718C22×Dic79C2412yes—
719C22×Dic79C2412yes—
720C22×Dic79C2412yes—
721C22×Dic79C2414yes—
722C22×Dic79C2412yes—
723C22×Dic79C2414yes—
724C22×Dic79C2414yes—
725C22×Dic79C2414yes—
726C22×Dic79C2412yes—
727C22×Dic79C2412yes—
728C22×Dic79C2412yes—
729C2×C4×D79C2411yescharacteristic
730C2×C4×D79C2414yes—
731C2×C4×D79C2411yescharacteristic
732C2×C4×D79C2412yes—
733C2×C4×D79C2414yes—
734C2×C4×D79C2412yes—
735C2×C4×D79C2414yes—
736C2×C4×D79C2414yes—
737C2×C4×D79C2414yes—
738C2×C4×D79C2414yes—
739C2×C4×D79C2414yes—
740C2×C4×D79C2414yes—
741C2×C4×D79C2414yes—
742C4⋊Dic79C2412yes—
743C4⋊Dic79C2414yes—
744C4⋊Dic79C2414yes—
745C4⋊Dic79C2414yes—
746C4⋊Dic79C2414yes—
747C4⋊Dic79C2412yes—
748C4⋊Dic79C2414yes—
749C4⋊Dic79C2412yes—
750C4⋊Dic79C2414yes—
751C4⋊Dic79C2412yes—
752C4⋊Dic79C2414yes—
753C4⋊Dic79C2414yes—
754C4⋊Dic79C2414yes—
755C4⋊Dic79C2412yes—
756C4⋊Dic79C2412yes—
757C4⋊Dic79C2414yes—
758C4⋊Dic79C2412yes—
759Dic79⋊C4C2412yes—
760Dic79⋊C4C2412yes—
761Dic79⋊C4C2412yes—
762Dic79⋊C4C2412yes—
763Dic79⋊C4C2414yes—
764Dic79⋊C4C2414yes—
765Dic79⋊C4C2414yes—
766Dic79⋊C4C2414yes—
767Dic79⋊C4C2414yes—
768Dic79⋊C4C2414yes—
769Dic79⋊C4C2414yes—
770Dic79⋊C4C2414yes—
771Dic79⋊C4C2414yes—
772Dic79⋊C4C2414yes—
773Dic79⋊C4C2414yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2414yes—
776Dic79⋊C4C2412yes—
777Dic79⋊C4C2412yes—
778Dic79⋊C4C2412yes—
779Dic79⋊C4C2412yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2414yes—
785Dic79⋊C4C2412yes—
786Dic79⋊C4C2414yes—
787Dic79⋊C4C2412yes—
788Dic79⋊C4C2414yes—
789Dic79⋊C4C2414yes—
790Dic79⋊C4C2414yes—
791C22⋊Dic79C2414yes—
792C22⋊Dic79C2414yes—
793C22⋊Dic79C2414yes—
794C22⋊Dic79C2414yes—
795C22⋊Dic79C2412yes—
796C22⋊Dic79C2414yes—
797C22⋊Dic79C2412yes—
798C22⋊Dic79C2414yes—
799C22⋊Dic79C2412yes—
800C22⋊Dic79C2412yes—
801C22⋊Dic79C2412yes—
802C22⋊Dic79C2412yes—
803C22⋊Dic79C2414yes—
804C22⋊Dic79C2411yescharacteristic
805C22⋊Dic79C2414yes—
806C22⋊Dic79C2411yescharacteristic
807C22⋊Dic79C2414yes—
808C22⋊Dic79C2414yes—
809(C2×D79)⋊C4C2412yes—
810(C2×D79)⋊C4C2414yes—
811(C2×D79)⋊C4C2414yes—
812(C2×D79)⋊C4C2412yes—
813(C2×D79)⋊C4C2414yes—
814(C2×D79)⋊C4C2412yes—
815(C2×D79)⋊C4C2414yes—
816(C2×D79)⋊C4C2414yes—
817(C2×D79)⋊C4C2414yes—
818(C2×D79)⋊C4C2412yes—
819(C2×D79)⋊C4C2414yes—
820(C2×D79)⋊C4C2414yes—
821(C2×D79)⋊C4C2412yes—
822(C2×D79)⋊C4C2412yes—
823(C2×D79)⋊C4C2414yes—
824(C2×D79)⋊C4C2414yes—
825(C2×D79)⋊C4C2414yes—
826(C2×D79)⋊C4C2414yes—
827C4×Dic79C2412yes—
828C4×Dic79C2411yescharacteristic
829C4×Dic79C2414yes—
830C4×Dic79C2412yes—
831C4×Dic79C2412yes—
832C4×Dic79C2414yes—
833C4×Dic79C2412yes—
834C4×Dic79C2412yes—
835C4×Dic79C2412yes—
836C4×Dic79C2412yes—
837C4×Dic79C2411yescharacteristic
838C4×Dic79C2411yescharacteristic
839C4×Dic79C2412yes—
840C4×Dic79C2411yescharacteristic
841C4×Dic79C2412yes—
842C4×Dic79C2414yes—
843C4×Dic79C2412yes—
844C4×Dic79C2414yes—
845C4×Dic79C2414yes—
846C4×Dic79C2412yes—
847C4×Dic79C2414yes—
848C4×Dic79C2414yes—
849C4×Dic79C2414yes—
850C24×C79C2411yescharacteristic
851#41×C79—42no—
852#41×C79—44no—
853#41×C79—44no—
854C2×Q8×C79C2412yes—
855C2×Q8×C79C2411yescharacteristic
856C2×D4×C79C2412yes—
857C2×D4×C79C2414yes—
858C2×D4×C79C2412yes—
859C2×D4×C79C2414yes—
860C2×D4×C79C2412yes—
861C2×D4×C79C2414yes—
862C2×D4×C79C2414yes—
863C2×D4×C79C2412yes—
864C2×D4×C79C2414yes—
865C2×D4×C79C2411yescharacteristic
866C2×D4×C79C2414yes—
867C22×C4×C79—42no—
868C22×C4×C79C2412yes—
869C22×C4×C79C2412yes—
870C22×C4×C79C2411yescharacteristic
871C22×C4×C79C2414yes—
872C22×C4×C79C2414yes—
873C22×C4×C79C2414yes—
874C22×C4×C79C2414yes—
875C22×C4×C79C2411yescharacteristic
876C22×C4×C79C2412yes—
877C4⋊C4×C79C2412yes—
878C4⋊C4×C79C2412yes—
879C4⋊C4×C79C2414yes—
880C4⋊C4×C79C2412yes—
881C4⋊C4×C79C2414yes—
882C4⋊C4×C79C2414yes—
883C4⋊C4×C79C2414yes—
884C4⋊C4×C79C2412yes—
885C4⋊C4×C79C2414yes—
886C4⋊C4×C79C2412yes—
887C4⋊C4×C79C2414yes—
888C4⋊C4×C79C2414yes—
889C4⋊C4×C79C2414yes—
890C22⋊C4×C79C2412yes—
891C22⋊C4×C79C2412yes—
892C22⋊C4×C79C2414yes—
893C22⋊C4×C79C2414yes—
894C22⋊C4×C79C2414yes—
895C22⋊C4×C79C2412yes—
896C22⋊C4×C79C2414yes—
897C22⋊C4×C79C2412yes—
898C22⋊C4×C79C2414yes—
899C22⋊C4×C79C2412yes—
900C22⋊C4×C79C2414yes—
901C22⋊C4×C79C2414yes—
902C22⋊C4×C79C2414yes—
903C42×C79C2414yes—
904C42×C79C2411yescharacteristic
905C42×C79C2411yescharacteristic
906C42×C79C2414yes—
907C23×C79—42no—
908C23×C79—41no—
909C23×C79C2511yescharacteristic
910C23×C79C2512yes—
911C23×C79C2512yes—
912C23×C79C2514yes—
913C22×D79C2511yescharacteristic
914C22×D79C2514yes—
915C22×D79C2511yescharacteristic
916Q8×C79—24no—
917Q8×C79—41no—
918D4×C79—24no—
919D4×C79—42no—
920D4×C79—44no—
921D4×C79—44no—
922D4×C79—44no—
923D4×C79—42no—
924D4×C79—44no—
925D4×C79—41no—
926D4×C79—42no—
927D4×C79—44no—
928D4×C79—44no—
929C2×C4×C79—24no—
930C2×C4×C79—22no—
931C2×C4×C79—24no—
932C2×C4×C79—44no—
933C2×C4×C79—44no—
934C2×C4×C79—41no—
935C2×C4×C79—42no—
936C2×C4×C79—44no—
937C2×C4×C79—44no—
938C2×C4×C79C2512yes—
939C2×C4×C79C2511yescharacteristic
940C2×C4×C79C2514yes—
941C2×C4×C79C2512yes—
942C2×C4×C79C2512yes—
943C2×C4×C79C2514yes—
944C2×C4×C79C2512yes—
945C2×C4×C79C2514yes—
946C2×C4×C79C2511yescharacteristic
947C22⋊D79—24no—
948C22⋊D79—28no—
949C22⋊D79—24no—
950C22⋊D79—42no—
951C22⋊D79—44no—
952C22⋊D79—44no—
953C22⋊D79—44no—
954C22⋊D79—44no—
955C22⋊D79—42no—
956C22⋊D79—44no—
957C22⋊D79—44no—
958C22⋊D79—44no—
959C22⋊D79—44no—
960C22⋊D79—44no—
961C22⋊D79—44no—
962C22⋊D79—41no—
963C22⋊D79—41no—
964C2×Dic79—24no—
965C2×Dic79—24no—
966C2×Dic79—24no—
967C2×Dic79—28no—
968C2×Dic79—42no—
969C2×Dic79—42no—
970C2×Dic79—42no—
971C2×Dic79—44no—
972C2×Dic79—42no—
973C2×Dic79—44no—
974C2×Dic79—44no—
975C2×Dic79—44no—
976C2×Dic79—42no—
977C2×Dic79C2512yes—
978C2×Dic79C2512yes—
979C2×Dic79C2512yes—
980C2×Dic79C2512yes—
981C2×Dic79C2514yes—
982C2×Dic79C2514yes—
983C2×Dic79C2512yes—
984C2×Dic79C2511yescharacteristic
985C2×Dic79C2514yes—
986C2×Dic79C2511yescharacteristic
987C2×Dic79C2512yes—
988D316—24no—
989D316—41no—
990D316—44no—
991D316—44no—
992D316—44no—
993C4×D79—22no—
994C4×D79—22no—
995C4×D79—28no—
996C4×D79—44no—
997C4×D79—44no—
998C4×D79—42no—
999C4×D79—44no—
1000C4×D79—42no—
1001C4×D79—44no—
1002C4×D79—44no—
1003C4×D79—44no—
1004C4×D79—44no—
1005C4×D79—44no—
1006Dic158—24no—
1007Dic158—24no—
1008Dic158—28no—
1009Dic158—24no—
1010Dic158—44no—
1011Dic158—41no—
1012C22×C79—22no—
1013C22×C79—24no—
1014C22×C79—22no—
1015C22×C79—24no—
1016C22×C79—22no—
1017C22×C79—21no—
1018C22×C79—22no—
1019C22×C79—22no—
1020C22×C79—22no—
1021C22×C79—22no—
1022C22×C79—24no—
1023C22×C79—44no—
1024C22×C79C2611yescharacteristic
1025C2×D79—22no—
1026C2×D79—24no—
1027C2×D79—22no—
1028C2×D79—21no—
1029C2×D79—24no—
1030C2×D79—24no—
1031C2×D79—21no—
1032C4×C79—22no—
1033C4×C79—21no—
1034C4×C79—22no—
1035C4×C79—24no—
1036C4×C79—22no—
1037C4×C79—24no—
1038C4×C79—24no—
1039C4×C79—22no—
1040C4×C79#58512yes—
1041Dic79—22no—
1042Dic79—24no—
1043Dic79—24no—
1044Dic79—22no—
1045Dic79—22no—
1046Dic79—21no—
1047Dic79—21no—
1048Dic79—24no—
1049Dic79—22no—
1050Dic79—22no—
1051Dic79#58514yes—
1052#62840—791nomaximal, Sylow
1053C2×C79—42no—
1054C2×C79—44no—
1055C2×C79—42no—
1056C2×C79—41no—
1057C2×C79C2×#58512yes—
1058C2×C79C2×#58511yescharacteristic
1059D79—41no—
1060D79—44no—
1061D79—41no—
1062#3567—794no—
1063#3567—794no—
1064#3556—791no—
1065#3548—791no—
1066#3548—792no—
1067#3539—794no—
1068#3539—794no—
1069#3539—792no—
1070#3539—791no—
1071#3539D7911yescharacteristic, complemented
1072#3517—792no—
1073#3517—792no—
1074#3517—792no—
1075#3517—792no—
1076#3517—794no—
1077#3515—792no—
1078#3515—792no—
1079#3515—792no—
1080#3515—792no—
1081#3515—794no—
1082#3512—794no—
1083#3512—794no—
1084#3512—791no—
1085#3512—791no—
1086#3512—792no—
1087#3444—791no—
1088#3444—792no—
1089C79#6284011yescharacteristic, complemented, Sylow
1090#564—794no—
1091#562—794no—
1092#562—794no—
1093#562—794no—
1094#560—794no—
1095#560—794no—
1096#560—794no—
1097#560C2×D7914yes—
1098#557—792no—
1099#557—794no—
1100#557—792no—
1101#557—792no—
1102#557—792no—
1103#554—792no—
1104#554—794no—
1105#554—792no—
1106#554—792no—
1107#554—792no—
1108#553—794no—
1109#553—794no—
1110#553—794no—
1111#553—794no—
1112#553—794no—
1113#553—794no—
1114#553—794no—
1115#553—794no—
1116#553—794no—
1117#553—794no—
1118#553—794no—
1119#553—794no—
1120#553—794no—
1121#553—794no—
1122#553—794no—
1123#553—794no—
1124#553—794no—
1125#553—792no—
1126#553—794no—
1127#553—794no—
1128#553—794no—
1129#553—794no—
1130#553—792no—
1131#553—794no—
1132#553—794no—
1133#553—794no—
1134#553—794no—
1135#553—794no—
1136#553—792no—
1137#553—794no—
1138#553C2×D7914yes—
1139#553C2×D7912yes—
1140#552—794no—
1141#552—794no—
1142#552—794no—
1143#552—794no—
1144#552—794no—
1145#552—794no—
1146#552—794no—
1147#552—794no—
1148#552—794no—
1149#552—794no—
1150#552—792no—
1151#552—794no—
1152#552—794no—
1153#552—792no—
1154#552—794no—
1155#552—794no—
1156#552—792no—
1157#552—794no—
1158#552—794no—
1159#552C2×D7912yes—
1160#550—792no—
1161#550—792no—
1162#550—794no—
1163#550—794no—
1164#550—792no—
1165#550—792no—
1166#550—794no—
1167#550—794no—
1168#550—792no—
1169#550—794no—
1170#550—792no—
1171#550—792no—
1172#550C2×D7912yes—
1173#547—792no—
1174#547—792no—
1175#547—794no—
1176#547—794no—
1177#547—794no—
1178#547—792no—
1179#547—792no—
1180#547—794no—
1181#547—794no—
1182#547—792no—
1183#547—792no—
1184#547—792no—
1185#547C2×D7912yes—
1186#541—791no—
1187#541—794no—
1188#541—794no—
1189#541—794no—
1190#541—794no—
1191#541—791no—
1192#541—792no—
1193#541—792no—
1194#541—791no—
1195#541C2×D7911yescharacteristic
1196#540—794no—
1197#540—794no—
1198#540—791no—
1199#540—791no—
1200#540—794no—
1201#540—794no—
1202#540—794no—
1203#540—794no—
1204#540—794no—
1205#540—794no—
1206#540—794no—
1207#540—794no—
1208#540—794no—
1209#540—794no—
1210#540—792no—
1211#540—794no—
1212#540—794no—
1213#540—792no—
1214#540—794no—
1215#540—791no—
1216#540C2×D7911yescharacteristic
1217#540C2×D7914yes—
1218#539—794no—
1219#539—794no—
1220#539—794no—
1221#539—794no—
1222#539—794no—
1223#539—794no—
1224#539—794no—
1225#539—794no—
1226#539—794no—
1227#539—794no—
1228#539—794no—
1229#539C2×D7914yes—
1230#537—792no—
1231#537—792no—
1232#537—794no—
1233#537—794no—
1234#537—794no—
1235#537—794no—
1236#537—792no—
1237#537C2×D7912yes—
1238#533—792no—
1239#533—792no—
1240#533—792no—
1241#533—792no—
1242#533—791no—
1243#532—792no—
1244#532—791no—
1245#532—792no—
1246#532—791no—
1247#532—791no—
1248#532—792no—
1249#532—792no—
1250#532—792no—
1251#532—794no—
1252#532—794no—
1253#529—794no—
1254#529—792no—
1255#529—792no—
1256#529—794no—
1257#529—794no—
1258#529—794no—
1259#529—792no—
1260#529—792no—
1261#529—792no—
1262#529—792no—
1263#529—792no—
1264#529—792no—
1265#529—792no—
1266#529—792no—
1267#529—792no—
1268#529—794no—
1269#529—792no—
1270#529—792no—
1271#529—794no—
1272#529—794no—
1273#529—792no—
1274#529—794no—
1275C2×#125—794no—
1276C2×#125—791no—
1277C2×#125—791no—
1278C2×#125—794no—
1279C2×#125—792no—
1280#525—791no—
1281#525—792no—
1282#525—794no—
1283#525—792no—
1284#525—794no—
1285#525—792no—
1286#525C2×D7911yescharacteristic
1287#525C2×D7912yes—
1288#520—792no—
1289#520—792no—
1290#520—794no—
1291#520—794no—
1292#520—792no—
1293#520—794no—
1294#520—794no—
1295#520—792no—
1296C4×#41—791no—
1297C4×#41—792no—
1298C4×#41—794no—
1299C4×#41—792no—
1300C4×#41—792no—
1301C4×#41—794no—
1302C4×#41—791no—
1303C4×#41—792no—
1304C22×C42—791no—
1305C2×#41—792no—
1306C2×#41—794no—
1307C2×#41—792no—
1308C2×#41—794no—
1309C2×#41—792no—
1310C2×#41—792no—
1311C2×#41—794no—
1312C2×#41—794no—
1313C2×#41—791no—
1314C2×#41—792no—
1315C2×#41—792no—
1316C2×#41—794no—
1317C2×#41—794no—
1318C2×#41C22×D7911yescharacteristic
1319C2×#41C22×D7912yes—
1320C2×#41C22×D7912yes—
1321C23×C4—792no—
1322C23×C4C22×D7911yescharacteristic
1323C4⋊Q8—792no—
1324C4⋊Q8—791no—
1325C4⋊Q8—792no—
1326C4⋊Q8—792no—
1327C4⋊Q8—792no—
1328C4⋊Q8—792no—
1329C4⋊Q8—794no—
1330C4⋊Q8—794no—
1331C4⋊Q8—791no—
1332C4⋊Q8C22×D7911yescharacteristic
1333#127—792no—
1334#127—791no—
1335#127—792no—
1336#127—794no—
1337#127—794no—
1338#127—794no—
1339#127—794no—
1340#127—794no—
1341#127—791no—
1342#127C22×D7911yescharacteristic
1343#127C22×D7914yes—
1344#126—794no—
1345#126—794no—
1346#126—792no—
1347#126—792no—
1348#126—794no—
1349#126—794no—
1350#126—794no—
1351#126—794no—
1352#126—794no—
1353#126—794no—
1354#126—794no—
1355#126—792no—
1356#126—792no—
1357#126—794no—
1358#126—794no—
1359#126—794no—
1360#126—794no—
1361#126—794no—
1362#126—794no—
1363#126—794no—
1364#126—794no—
1365#126—794no—
1366#126—794no—
1367#126—794no—
1368#126—794no—
1369#126C22×D7914yes—
1370#126C22×D7914yes—
1371#126C22×D7914yes—
1372#125—792no—
1373#125—792no—
1374#125—794no—
1375#125—792no—
1376#125—792no—
1377#125—794no—
1378#125—794no—
1379#125—794no—
1380#125—794no—
1381#125—794no—
1382#125—794no—
1383#125—794no—
1384#125—794no—
1385#125—794no—
1386#125—794no—
1387#125—794no—
1388#125—794no—
1389#125—792no—
1390#125—794no—
1391#125—794no—
1392#125—792no—
1393#125—794no—
1394#125—792no—
1395#125—794no—
1396#125—794no—
1397#125—794no—
1398#125—794no—
1399#125—794no—
1400#125—794no—
1401#125—794no—
1402#125—794no—
1403#125—794no—
1404#125—794no—
1405#125—791no—
1406#125—791no—
1407#125—794no—
1408#125—794no—
1409#125C22×D7914yes—
1410#125C22×D7911yescharacteristic
1411#125C22×D7911yescharacteristic
1412#125C22×D7914yes—
1413#124—792no—
1414#124—791no—
1415#124—792no—
1416#124—791no—
1417#124—794no—
1418#124—792no—
1419#124—792no—
1420#124—794no—
1421#123—792no—
1422#123—794no—
1423#123—792no—
1424#123—794no—
1425#123—794no—
1426#123—794no—
1427#123—794no—
1428#123—794no—
1429#123—794no—
1430#123—794no—
1431#123—794no—
1432#123—794no—
1433#123—791no—
1434#123—791no—
1435#123—794no—
1436#123—794no—
1437#123—794no—
1438#123—794no—
1439#123—794no—
1440#123—794no—
1441#123—794no—
1442#123—794no—
1443#123—794no—
1444#123—792no—
1445#123—794no—
1446#123—792no—
1447#123—794no—
1448#123—794no—
1449#123—794no—
1450#123—794no—
1451#123—794no—
1452#123—794no—
1453#123—794no—
1454#123—794no—
1455#123—794no—
1456#123—794no—
1457#123—794no—
1458#123—794no—
1459#123—794no—
1460#123—794no—
1461#123—794no—
1462#123—794no—
1463#123C22×D7914yes—
1464#123C22×D7912yes—
1465#123C22×D7914yes—
1466#123C22×D7914yes—
1467#123C22×D7914yes—
1468#123C22×D7914yes—
1469#123C22×D7914yes—
1470C22⋊Q8—792no—
1471C22⋊Q8—794no—
1472C22⋊Q8—792no—
1473C22⋊Q8—792no—
1474C22⋊Q8—792no—
1475C22⋊Q8—792no—
1476C22⋊Q8—794no—
1477C22⋊Q8—794no—
1478C22⋊Q8—794no—
1479C22⋊Q8—794no—
1480C22⋊Q8—792no—
1481C22⋊Q8—794no—
1482C22⋊Q8—794no—
1483C22⋊Q8—794no—
1484C22⋊Q8—794no—
1485C22⋊Q8—794no—
1486C22⋊Q8—794no—
1487C22⋊Q8—792no—
1488C22⋊Q8—792no—
1489C22⋊Q8—794no—
1490C22⋊Q8—794no—
1491C22⋊Q8—792no—
1492C22⋊Q8—792no—
1493C22⋊Q8—794no—
1494C22⋊Q8—794no—
1495C22⋊Q8—794no—
1496C22⋊Q8—794no—
1497C22⋊Q8—794no—
1498C22⋊Q8—794no—
1499C22⋊Q8C22×D7912yes—
1500C22⋊Q8C22×D7912yes—
1501C22⋊Q8C22×D7912yes—
1502C22⋊Q8C22×D7912yes—
1503C22⋊Q8C22×D7914yes—
1504#121—792no—
1505#121—792no—
1506#121—794no—
1507#121—794no—
1508#121—794no—
1509#121—794no—
1510#121—792no—
1511#121—792no—
1512#121—792no—
1513#121—794no—
1514#121—794no—
1515#121—794no—
1516#121—794no—
1517#121—794no—
1518#121—794no—
1519#121—794no—
1520#121—794no—
1521#121—794no—
1522#121—794no—
1523#121—794no—
1524#121—794no—
1525#121—794no—
1526#121—794no—
1527#121—794no—
1528#121—794no—
1529#121—794no—
1530#121—794no—
1531#121—794no—
1532#121—794no—
1533#121—794no—
1534#121—794no—
1535#121—794no—
1536#121—794no—
1537#121—794no—
1538#121—792no—
1539#121—792no—
1540#121—792no—
1541#121—792no—
1542#121—794no—
1543#121—794no—
1544#121—794no—
1545#121—792no—
1546#121—794no—
1547#121—794no—
1548#121—794no—
1549#121—794no—
1550#121—794no—
1551#121—794no—
1552#121—794no—
1553#121—794no—
1554#121—794no—
1555#121—794no—
1556#121—794no—
1557#121—794no—
1558#121—794no—
1559#121—794no—
1560#121—794no—
1561#121—794no—
1562#121C22×D7912yes—
1563#121C22×D7912yes—
1564#121C22×D7912yes—
1565#121C22×D7912yes—
1566#121C22×D7914yes—
1567#121C22×D7914yes—
1568#121C22×D7914yes—
1569#121C22×D7914yes—
1570#121C22×D7914yes—
1571#121C22×D7914yes—
1572#121C22×D7914yes—
1573#121C22×D7914yes—
1574#120—794no—
1575#120—791no—
1576#120—791no—
1577#120C22×D7914yes—
1578#120C22×D7912yes—
1579C4×Q8—792no—
1580C4×Q8—792no—
1581C4×Q8—792no—
1582C4×Q8—792no—
1583C4×Q8—792no—
1584C4×Q8—792no—
1585C4×Q8—792no—
1586C4×Q8—794no—
1587C4×Q8—792no—
1588C4×Q8—792no—
1589C4×Q8—794no—
1590C4×Q8—794no—
1591C4×Q8—794no—
1592C4×Q8—792no—
1593C4×Q8—794no—
1594C4×Q8—792no—
1595C4×Q8—792no—
1596C4×Q8—794no—
1597C4×Q8—794no—
1598C4×Q8—794no—
1599C4×Q8—792no—
1600C4×Q8C22×D7912yes—
1601C4×D4—792no—
1602C4×D4—794no—
1603C4×D4—792no—
1604C4×D4—792no—
1605C4×D4—794no—
1606C4×D4—794no—
1607C4×D4—792no—
1608C4×D4—792no—
1609C4×D4—794no—
1610C4×D4—792no—
1611C4×D4—792no—
1612C4×D4—794no—
1613C4×D4—794no—
1614C4×D4—792no—
1615C4×D4—794no—
1616C4×D4—794no—
1617C4×D4—794no—
1618C4×D4—794no—
1619C4×D4—792no—
1620C4×D4—792no—
1621C4×D4—794no—
1622C4×D4—792no—
1623C4×D4—792no—
1624C4×D4—794no—
1625C4×D4—794no—
1626C4×D4—794no—
1627C4×D4—794no—
1628C4×D4—794no—
1629C4×D4—794no—
1630C4×D4—794no—
1631C4×D4—794no—
1632C4×D4—794no—
1633C4×D4—794no—
1634C4×D4—792no—
1635C4×D4—792no—
1636C4×D4—792no—
1637C4×D4—794no—
1638C4×D4—792no—
1639C4×D4—794no—
1640C4×D4—794no—
1641C4×D4—792no—
1642C4×D4—792no—
1643C4×D4—792no—
1644C4×D4—792no—
1645C4×D4—794no—
1646C4×D4—794no—
1647C4×D4—794no—
1648C4×D4—794no—
1649C4×D4—792no—
1650C4×D4—792no—
1651C4×D4—794no—
1652C4×D4—794no—
1653C4×D4—794no—
1654C4×D4—794no—
1655C4×D4—794no—
1656C4×D4—794no—
1657C4×D4—794no—
1658C4×D4—794no—
1659C4×D4—794no—
1660C4×D4—794no—
1661C4×D4—794no—
1662C4×D4—792no—
1663C4×D4—794no—
1664C4×D4C22×D7914yes—
1665C4×D4C22×D7912yes—
1666C4×D4C22×D7912yes—
1667C4×D4C22×D7914yes—
1668C4×D4C22×D7914yes—
1669C4×D4C22×D7912yes—
1670C4×D4C22×D7914yes—
1671#117—792no—
1672#117—791no—
1673#117—792no—
1674#117—794no—
1675#117—794no—
1676#117—794no—
1677#117—794no—
1678#117—794no—
1679#117—792no—
1680#117—792no—
1681#117—794no—
1682#117—794no—
1683#117—794no—
1684#117—794no—
1685#117—794no—
1686#117—792no—
1687#117—794no—
1688#117—792no—
1689#117—794no—
1690#117—792no—
1691#117—792no—
1692#117—794no—
1693#117—794no—
1694#117—794no—
1695#117—791no—
1696#117—791no—
1697#117—794no—
1698#117—794no—
1699#117—794no—
1700#117—794no—
1701#117C22×D7911yescharacteristic
1702#117C22×D7912yes—
1703#117C22×D7914yes—
1704C2×C4⋊C4—794no—
1705C2×C4⋊C4—794no—
1706C2×C4⋊C4—792no—
1707C2×C4⋊C4—794no—
1708C2×C4⋊C4—794no—
1709C2×C4⋊C4—794no—
1710C2×C4⋊C4—794no—
1711C2×C4⋊C4—794no—
1712C2×C4⋊C4—794no—
1713C2×C4⋊C4—794no—
1714C2×C4⋊C4—792no—
1715C2×C4⋊C4—792no—
1716C2×C4⋊C4—794no—
1717C2×C4⋊C4—794no—
1718C2×C4⋊C4—794no—
1719C2×C4⋊C4—794no—
1720C2×C4⋊C4—794no—
1721C2×C4⋊C4—794no—
1722C2×C4⋊C4C22×D7912yes—
1723C2×C4⋊C4C22×D7914yes—
1724C2×C42—792no—
1725C2×C42—794no—
1726C2×C42—791no—
1727C2×C42—792no—
1728C2×C42—792no—
1729C2×C42—792no—
1730C2×C42—792no—
1731C2×C42—792no—
1732C2×C42—791no—
1733C2×C42—791no—
1734C2×C42—791no—
1735C2×C42—794no—
1736C24C23×D7911yescharacteristic
1737#41—42no—
1738#41—44no—
1739#41—44no—
1740#41—3164no—
1741#41—3164no—
1742#41—3162no—
1743#41—3168no—
1744#41—3168no—
1745#41—3164no—
1746#41—3164no—
1747#41—3168no—
1748#41—3164no—
1749#41—3168no—
1750#41—3168no—
1751#41—3164no—
1752#41—3168no—
1753C2×Q8—794no—
1754C2×Q8—791no—
1755C2×Q8—792no—
1756C2×Q8—794no—
1757C2×Q8—792no—
1758C2×Q8—792no—
1759C2×Q8C23×D7912yes—
1760C2×Q8C23×D7911yescharacteristic
1761C2×D4—794no—
1762C2×D4—791no—
1763C2×D4—791no—
1764C2×D4—792no—
1765C2×D4—794no—
1766C2×D4—792no—
1767C2×D4—794no—
1768C2×D4—794no—
1769C2×D4—794no—
1770C2×D4—794no—
1771C2×D4—794no—
1772C2×D4—794no—
1773C2×D4—794no—
1774C2×D4—794no—
1775C2×D4—792no—
1776C2×D4—794no—
1777C2×D4—792no—
1778C2×D4—791no—
1779C2×D4—794no—
1780C2×D4—794no—
1781C2×D4—794no—
1782C2×D4—792no—
1783C2×D4C23×D7912yes—
1784C2×D4C23×D7912yes—
1785C2×D4C23×D7914yes—
1786C2×D4C23×D7911yescharacteristic
1787C2×D4C23×D7914yes—
1788C2×D4C23×D7914yes—
1789C2×D4C23×D7912yes—
1790C2×D4C23×D7914yes—
1791C2×D4C23×D7912yes—
1792C2×D4C23×D7914yes—
1793C2×D4C23×D7914yes—
1794C22×C4—42no—
1795C22×C4—3164no—
1796C22×C4—792no—
1797C22×C4—792no—
1798C22×C4—792no—
1799C22×C4—792no—
1800C22×C4—794no—
1801C22×C4—792no—
1802C22×C4—794no—
1803C22×C4—794no—
1804C22×C4—794no—
1805C22×C4—792no—
1806C22×C4—794no—
1807C22×C4—792no—
1808C22×C4—794no—
1809C22×C4—794no—
1810C22×C4—794no—
1811C22×C4—794no—
1812C22×C4—794no—
1813C22×C4—794no—
1814C22×C4—794no—
1815C22×C4—792no—
1816C22×C4—792no—
1817C22×C4—792no—
1818C22×C4—794no—
1819C22×C4—794no—
1820C22×C4—791no—
1821C22×C4—791no—
1822C22×C4C23×D7912yes—
1823C22×C4C23×D7911yescharacteristic
1824C22×C4C23×D7912yes—
1825C22×C4C23×D7911yescharacteristic
1826C22×C4C23×D7912yes—
1827C22×C4C23×D7914yes—
1828C22×C4C23×D7914yes—
1829C22×C4C23×D7914yes—
1830C22×C4C23×D7914yes—
1831C4⋊C4—792no—
1832C4⋊C4—794no—
1833C4⋊C4—792no—
1834C4⋊C4—794no—
1835C4⋊C4—792no—
1836C4⋊C4—792no—
1837C4⋊C4—794no—
1838C4⋊C4—794no—
1839C4⋊C4—794no—
1840C4⋊C4—792no—
1841C4⋊C4—792no—
1842C4⋊C4—794no—
1843C4⋊C4—792no—
1844C4⋊C4—792no—
1845C4⋊C4—794no—
1846C4⋊C4—794no—
1847C4⋊C4—794no—
1848C4⋊C4—794no—
1849C4⋊C4—794no—
1850C4⋊C4—794no—
1851C4⋊C4—794no—
1852C4⋊C4—794no—
1853C4⋊C4—794no—
1854C4⋊C4—794no—
1855C4⋊C4—794no—
1856C4⋊C4—794no—
1857C4⋊C4—792no—
1858C4⋊C4—794no—
1859C4⋊C4—792no—
1860C4⋊C4—794no—
1861C4⋊C4—794no—
1862C4⋊C4—794no—
1863C4⋊C4—792no—
1864C4⋊C4—792no—
1865C4⋊C4—794no—
1866C4⋊C4—792no—
1867C4⋊C4—794no—
1868C4⋊C4—794no—
1869C4⋊C4—792no—
1870C4⋊C4—794no—
1871C4⋊C4—794no—
1872C4⋊C4—794no—
1873C4⋊C4—794no—
1874C4⋊C4—794no—
1875C4⋊C4—794no—
1876C4⋊C4—794no—
1877C4⋊C4—792no—
1878C4⋊C4—792no—
1879C4⋊C4—792no—
1880C4⋊C4C23×D7912yes—
1881C4⋊C4C23×D7914yes—
1882C4⋊C4C23×D7914yes—
1883C4⋊C4C23×D7914yes—
1884C4⋊C4C23×D7914yes—
1885C4⋊C4C23×D7912yes—
1886C4⋊C4C23×D7912yes—
1887C4⋊C4C23×D7914yes—
1888C4⋊C4C23×D7914yes—
1889C4⋊C4C23×D7912yes—
1890C4⋊C4C23×D7914yes—
1891C4⋊C4C23×D7914yes—
1892C4⋊C4C23×D7912yes—
1893C22⋊C4—794no—
1894C22⋊C4—794no—
1895C22⋊C4—794no—
1896C22⋊C4—792no—
1897C22⋊C4—792no—
1898C22⋊C4—794no—
1899C22⋊C4—791no—
1900C22⋊C4—791no—
1901C22⋊C4—792no—
1902C22⋊C4—794no—
1903C22⋊C4—792no—
1904C22⋊C4—794no—
1905C22⋊C4—794no—
1906C22⋊C4—794no—
1907C22⋊C4—794no—
1908C22⋊C4—792no—
1909C22⋊C4—792no—
1910C22⋊C4—794no—
1911C22⋊C4—794no—
1912C22⋊C4—794no—
1913C22⋊C4—792no—
1914C22⋊C4—792no—
1915C22⋊C4—794no—
1916C22⋊C4—792no—
1917C22⋊C4—792no—
1918C22⋊C4—794no—
1919C22⋊C4—794no—
1920C22⋊C4—794no—
1921C22⋊C4—794no—
1922C22⋊C4—794no—
1923C22⋊C4—794no—
1924C22⋊C4—794no—
1925C22⋊C4—792no—
1926C22⋊C4—792no—
1927C22⋊C4—794no—
1928C22⋊C4—794no—
1929C22⋊C4C23×D7912yes—
1930C22⋊C4C23×D7912yes—
1931C22⋊C4C23×D7914yes—
1932C22⋊C4C23×D7914yes—
1933C22⋊C4C23×D7912yes—
1934C22⋊C4C23×D7914yes—
1935C22⋊C4C23×D7912yes—
1936C22⋊C4C23×D7914yes—
1937C22⋊C4C23×D7914yes—
1938C22⋊C4C23×D7914yes—
1939C22⋊C4C23×D7912yes—
1940C22⋊C4C23×D7914yes—
1941C22⋊C4C23×D7914yes—
1942C42—792no—
1943C42—791no—
1944C42—792no—
1945C42—791no—
1946C42—792no—
1947C42—792no—
1948C42—792no—
1949C42—791no—
1950C42—792no—
1951C42—791no—
1952C42—792no—
1953C42—792no—
1954C42—794no—
1955C42—794no—
1956C42—792no—
1957C42—792no—
1958C42—794no—
1959C42—794no—
1960C42—794no—
1961C42—792no—
1962C42—794no—
1963C42—794no—
1964C42—794no—
1965C42C23×D7914yes—
1966C42C23×D7911yescharacteristic
1967C42C23×D7911yescharacteristic
1968C42C23×D7914yes—
1969C23—41no—
1970C23—42no—
1971C23—791no—
1972C23—791no—
1973C23—794no—
1974C23C24×D7911yescharacteristic
1975C23C24×D7912yes—
1976C23C24×D7912yes—
1977C23C24×D7914yes—
1978Q8—24no—
1979Q8—41no—
1980Q8—3164no—
1981Q8—3161no—
1982Q8—1584no—
1983Q8—1588no—
1984Q8—1584no—
1985Q8—1584no—
1986D4—24no—
1987D4—42no—
1988D4—41no—
1989D4—44no—
1990D4—44no—
1991D4—44no—
1992D4—42no—
1993D4—44no—
1994D4—44no—
1995D4—42no—
1996D4—44no—
1997D4—3164no—
1998D4—3164no—
1999D4—3161no—
2000D4—3164no—
2001D4—3164no—
2002D4—3164no—
2003D4—3164no—
2004D4—3162no—
2005D4—3164no—
2006D4—3162no—
2007D4—3164no—
2008D4—3164no—
2009D4—3164no—
2010D4—3161no—
2011D4—3161no—
2012D4—3164no—
2013D4—3164no—
2014D4—3164no—
2015D4—1584no—
2016D4—1588no—
2017D4—1584no—
2018D4—1584no—
2019C2×C4—24no—
2020C2×C4—22no—
2021C2×C4—24no—
2022C2×C4—41no—
2023C2×C4—42no—
2024C2×C4—44no—
2025C2×C4—44no—
2026C2×C4—44no—
2027C2×C4—44no—
2028C2×C4—3164no—
2029C2×C4—3164no—
2030C2×C4—3162no—
2031C2×C4—3164no—
2032C2×C4—3164no—
2033C2×C4—3162no—
2034C2×C4—3164no—
2035C2×C4—3164no—
2036C2×C4—3164no—
2037C2×C4—3164no—
2038C2×C4—3162no—
2039C2×C4—3162no—
2040C2×C4—3162no—
2041C2×C4—3162no—
2042C2×C4—3164no—
2043C2×C4—3162no—
2044C2×C4—3164no—
2045C2×C4—3164no—
2046C2×C4—3164no—
2047C2×C4—792no—
2048C2×C4—792no—
2049C2×C4—792no—
2050C2×C4—792no—
2051C2×C4—794no—
2052C2×C4—792no—
2053C2×C4—792no—
2054C2×C4—794no—
2055C2×C4—794no—
2056C2×C4—791no—
2057C2×C4—791no—
2058C2×C4—1588no—
2059C2×C4—1584no—
2060C2×C4—1584no—
2061C2×C4—1584no—
2062C2×C4—1588no—
2063C2×C4—1582no—
2064C2×C4—1582no—
2065C2×C4C24×D7912yes—
2066C2×C4C24×D7911yescharacteristic
2067C2×C4C24×D7914yes—
2068C2×C4C24×D7912yes—
2069C2×C4C24×D7914yes—
2070C2×C4C24×D7912yes—
2071C2×C4C24×D7912yes—
2072C2×C4C24×D7914yes—
2073C2×C4C24×D7911yescharacteristic
2074C22—22no—
2075C22—24no—
2076C22—22no—
2077C22—22no—
2078C22—22no—
2079C22—22no—
2080C22—24no—
2081C22—22no—
2082C22—21no—
2083C22—22no—
2084C22—24no—
2085C22—44no—
2086C22—1582no—
2087C22—1584no—
2088C22—1582no—
2089C22—1584no—
2090C22—1584no—
2091C22—1581no—
2092C22—1581no—
2093C22C25×D7911yescharacteristic
2094C4—24no—
2095C4—22no—
2096C4—24no—
2097C4—22no—
2098C4—22no—
2099C4—22no—
2100C4—21no—
2101C4—24no—
2102C4—794no—
2103C4—1582no—
2104C4—1582no—
2105C4—1584no—
2106C4—1582no—
2107C4—1584no—
2108C4—1582no—
2109C4—1582no—
2110C4—1581no—
2111C4—1581no—
2112C4—1584no—
2113C4#1909939812yes—
2114C2—41no—
2115C2—42no—
2116C2—42no—
2117C2—44no—
2118C2—3161no—
2119C2—3161no—
2120C2—3164no—
2121C2#585×D7912yes—
2122C2C2×#1909939811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3539C2
hypercenter#3539D79
hypocenterC79#62840
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3539

Complements

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

NH ≅ G/Ntype
1. #23778086C2semidirect
2. #23778085C2semidirect
3. #23777893C2semidirect
4. #23777795C2semidirect
5. #23777794C2semidirect
6. #23777660C2semidirect
7. #23777656C2semidirect
8. #23777654C2semidirect
9. #23777654C2semidirect
10. #23777405C2semidirect
11. #23777403C2semidirect
12. #23777402C2semidirect
13. #23777399C2semidirect
14. #23777397C2semidirect
15. #23777375C2semidirect
16. #23777374C2semidirect
17. #23777371C2semidirect
18. #23777370C2semidirect
19. #23777365C2semidirect
20. #23777323C2semidirect
21. #23777321C2semidirect
22. #23777319C2semidirect
23. #23777318C2semidirect
24. #23777316C2semidirect
25. #23776692C2semidirect
26. #23776692C2semidirect
27. C79×#3539C2semidirect
28. C79⋊#564C22semidirect
29. #19099310C22semidirect
30. #19099309C22semidirect
31. #19099308C22semidirect
35. #19099291C22semidirect
36. #19099290C22semidirect
37. #19099290C22semidirect
38. #19099289C22semidirect
39. #19099288C22semidirect
40. #19099272C22semidirect
41. #19099271C22semidirect
42. #19099269C22semidirect
43. #19099268C22semidirect
44. #19099267C22semidirect
45. #19099266C22semidirect
48. #19099265C22semidirect
51. #19099264C22semidirect
53. #19099263C22semidirect
55. #19099262C22semidirect
56. #19099261C22semidirect
60. #19099260C22semidirect
62. #19099259C22semidirect
66. #19099258C22semidirect
67. #19099258C22semidirect
73. #19099256C22semidirect
74. #19099256C22semidirect
75. #19099255C22semidirect
77. #19099253C22semidirect
79. #19099252C22semidirect
80. #19099251C22semidirect
83. #19099250C22semidirect
84. #19099250C22semidirect
87. #19099249C22semidirect
88. #19099248C22semidirect
90. #19099247C22semidirect
91. #19099246C22semidirect
92. #19099245C22semidirect
93. #19099245C22semidirect
95. #19099234C22semidirect
98. #19099233C22semidirect
100. #19099232C22semidirect
104. #19099231C22semidirect
105. #19099231C22semidirect
108. #19099215C22semidirect
109. #19099214C22semidirect
112. #19099213C22semidirect
114. #19099212C22semidirect
117. #19099211C22semidirect
118. #19099176C22semidirect
120. #19099174C22semidirect
122. #19099173C22semidirect
123. #19099172C22semidirect
126. #19099170C22semidirect
127. #19099169C22semidirect
131. #19099167C22semidirect
135. #19099166C22semidirect
139. #19099165C22semidirect
146. #19099163C22semidirect
170. #19099114C22semidirect
171. #19099111C22semidirect
172. #19099110C22semidirect
175. #19099109C22semidirect
179. #19099108C22semidirect
180. #19099100C22semidirect
184. #19099099C22semidirect
185. #19099096C22semidirect
186. #19099095C22semidirect
190. #19099094C22semidirect
195. #19099093C22semidirect
196. #19099091C22semidirect
201. #19099090C22semidirect
202. C2×#14579152C22semidirect
203. C2×#14579151C22semidirect
204. #125×D79C22semidirect
205. #125×D79C22semidirect
206. #125×D79C22semidirect
213. #19099046C22semidirect
214. #19099045C22semidirect
215. #19099044C22semidirect
216. #19099044C22semidirect
217. #19099043C22semidirect
218. #19099042C22semidirect
219. #19099042C22semidirect
220. #19099042C22semidirect
1071. #3539D79semidirect
1089. C79#62840semidirect

Maximal subgroups

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

subgroupindex
#237780862
#237780852
#237778932
#237777952
#237777942
#237776602
#237776562
#237776542
#237774052
#237774032
#237774022
#237773992
#237773972
#237773752
#237773742
#237773712
#237773702
#237773652
#237773232
#237773212
#237773192
#237773182
#237773162
#237766922
C79×#35392
#6284079