Finite Group Databasebeta

← #35196115

Subgroups — #35196115

Order 20224.

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#23777908C211yesmaximal, characteristic, complemented
2#23777905C211yesmaximal, characteristic, complemented
3#23777899C212yesmaximal, complemented
4#23777893C211yesmaximal, characteristic, complemented
5#23777886C212yesmaximal, complemented
6#23777878C212yesmaximal, complemented
7#23777869C212yesmaximal, complemented
8#23777861C212yesmaximal, complemented
9#23777850C214yesmaximal, complemented
10#23777833C214yesmaximal, complemented
11#23777808C212yesmaximal, complemented
12#23777794C211yesmaximal, characteristic, complemented
13#23777688C214yesmaximal, complemented
14#23777680C214yesmaximal, complemented
15#23777545C214yesmaximal, complemented
16#23777013C214yesmaximal, complemented
17#23776997C212yesmaximal, complemented
18#23776993C212yesmaximal, complemented
19#41×Dic158C212yesmaximal, complemented
20#23776978C212yesmaximal, complemented
21#23776829C214yesmaximal, complemented
22#23776825C214yesmaximal, complemented
23#23776790C211yesmaximal, characteristic, complemented
24#23776788C212yesmaximal, complemented
25#23776692C212yesmaximal, complemented
26C2×#19099116C211yesmaximal, characteristic, complemented
27C79×#3455C211yesmaximal, characteristic, complemented
28C79⋊#564C2214yescomplemented
29#19099317C2214yescomplemented
30#19099316C2214yes—
31#19099316C2214yescomplemented
32#19099315C2214yes—
33#19099315C2214yes—
34#19099315C2214yescomplemented
35#19099315C2214yescomplemented
36#19099314C2214yescomplemented
37#19099314C2214yescomplemented
38#19099313C2214yes—
39#19099310C2214yes—
40#19099310C2214yescomplemented
41#19099308C2214yes—
42#19099308C2214yes—
43#19099307C2214yes—
44#19099299C2212yescomplemented
45#19099298C2212yescomplemented
46#19099296C2212yescomplemented
47#19099296C2212yescomplemented
48#19099295C2212yescomplemented
49#19099295C2212yescomplemented
50Q8×Dic158C2212yescomplemented
51#19099293C2212yescomplemented
52#19099292C2212yescomplemented
53#19099291C2212yescomplemented
54#19099290C2214yescomplemented
55#19099290C2212yescomplemented
56#19099290C2212yescomplemented
57#19099289C2212yescomplemented
58#19099289C2212yescomplemented
59#19099288C2212yescomplemented
60#19099288C2212yescomplemented
61#19099287C2212yescomplemented
62#19099285C2212yescomplemented
63#19099285C2212yescomplemented
64#19099283C2212yescomplemented
65#19099282C2214yes—
66#19099282C2212yescomplemented
67#19099282C2212yescomplemented
68#19099280C2214yes—
69#19099280C2214yescomplemented
70#19099274C2212yescomplemented
71#19099272C2214yes—
72#19099272C2214yes—
73#19099272C2212yescomplemented
74#19099272C2212yescomplemented
75#19099271C2214yes—
76#19099270C2214yes—
77#19099270C2212yescomplemented
78#19099269C2212yescomplemented
79#19099269C2212yescomplemented
80#19099267C2214yes—
81#19099267C2214yes—
82#19099265C2214yes—
83#19099262C2214yes—
84#19099262C2214yes—
85#19099259C2214yes—
86#19099256C2214yes—
87#19099256C2214yes—
88#19099255C2214yescomplemented
89#19099251C2214yescomplemented
90#19099250C2214yes—
91#19099250C2214yescomplemented
92#19099249C2214yes—
93#19099249C2214yescomplemented
94#19099234C2212yescomplemented
95#19099233C2212yescomplemented
96D4×Dic158C2214yes—
97D4×Dic158C2212yescomplemented
98#19099228C2212yescomplemented
99#19099226C2214yes—
100#19099226C2214yescomplemented
101#19099222C2214yes—
102#19099221C2214yes—
103#19099219C2214yes—
104#19099219C2214yes—
105#19099213C2214yes—
106#19099211C2214yes—
107#19099211C2214yescomplemented
108#19099193C2214yescomplemented
109#19099192C2214yescomplemented
110#19099186C2212yes—
111#19099186C2212yes—
112#19099184C2212yes—
113#19099184C2212yes—
114#19099182C2214yes—
115#19099181C2214yes—
116#19099181C2214yescomplemented
117#19099180C2212yes—
118#19099180C2212yes—
119#19099180C2214yes—
120#19099179C2214yes—
121#19099179C2214yescomplemented
122#19099177C2214yes—
123#19099177C2214yes—
124#19099176C2214yescomplemented
125#19099175C2211yescharacteristic
126#19099175C2211yescharacteristic
127#19099173C2212yes—
128#19099173C2212yes—
129#19099173C2214yescomplemented
130#19099172C2214yescomplemented
131#19099172C2214yescomplemented
132#19099170C2214yes—
133#19099170C2214yes—
134#19099170C2214yescomplemented
135#19099170C2214yescomplemented
136#19099168C2211yescharacteristic
137#19099168C2211yescharacteristic
138#19099166C2212yes—
139#19099166C2212yes—
140#19099162C2214yescomplemented
141#19099160C2214yes—
142#19099158C2214yes—
143#19099157C2214yes—
144#19099157C2214yes—
145#19099157C2214yes—
146#19099157C2214yescomplemented
147#19099156C2214yes—
148#19099156C2214yescomplemented
149#19099154C2214yes—
150#19099154C2214yescomplemented
151#19099151C2214yes—
152#19099148C2214yes—
153#19099148C2214yes—
154#19099142C2214yes—
155#19099140C2214yes—
156#19099136C2214yescomplemented
157#19099135C2214yes—
158#19099135C2214yescomplemented
159#19099133C2214yes—
160#19099120C2211yescharacteristic
161#19099120C2214yescomplemented
162#19099117C2214yescomplemented
163#19099117C2214yescomplemented
164#19099117C2214yescomplemented
165#19099116C2211yescharacteristic
166#19099116C2212yes—
167#19099116C2211yescharacteristic
168#19099116C2212yes—
169#19099116C2212yes—
170#19099116C2212yes—
171#19099116C2212yes—
172#19099116C2212yes—
173#19099116C2211yescharacteristic
174#19099116C2211yescharacteristic
175#19099116C2212yes—
176#19099116C2212yes—
177#19099116C2214yescomplemented
178#19099116C2214yescomplemented
179#19099115C2212yes—
180#19099115C2212yes—
181#19099113C2211yescharacteristic
182#19099109C2212yes—
183#19099109C2212yes—
184#19099108C2212yes—
185#19099108C2212yes—
186C2×#14579160C2212yes—
187#19099099C2212yes—
188#19099099C2212yes—
189#19099097C2214yescomplemented
190#19099095C2214yes—
191#19099095C2214yes—
192#19099095C2214yescomplemented
193#19099094C2212yes—
194#19099094C2212yes—
195#19099093C2214yes—
196#19099093C2214yes—
197#19099093C2214yes—
198#19099093C2214yes—
199#19099093C2214yescomplemented
200#19099093C2214yescomplemented
201#19099091C2214yes—
202#19099091C2214yes—
203#19099091C2214yescomplemented
204#19099091C2214yescomplemented
205#19099090C2214yes—
206#19099090C2214yes—
207C2×#14579152C2212yes—
208#19099074C2212yes—
209#19099069C2214yes—
210#19099069C2214yes—
211C2×#14579138C2212yes—
212C2×#14579138C2212yes—
213#41×Dic79C2212yes—
214#41×Dic79C2212yes—
215C4×#11929624C2212yes—
216C4×#11929624C2214yescomplemented
217#19099031C2212yes—
218#19099031C2212yes—
219C4×#11929623C2214yes—
220C4×#11929623C2214yes—
221C4×#11929623C2214yescomplemented
222C2×C4×Dic158C2212yes—
223C2×C4×Dic158C2212yes—
224C2×C4×Dic158C2214yescomplemented
225C4×Q8×D79C2214yescomplemented
226C2×#14579120C2211yescharacteristic
227C22×C4×Dic79C2211yescharacteristic
228#542×C79C2212yes—
229#542×C79C2212yes—
230#541×C79C2211yescharacteristic
231#541×C79C2211yescharacteristic
232#540×C79C2211yescharacteristic
233#540×C79C2211yescharacteristic
234#539×C79C2214yes—
235#538×C79C2214yes—
236#533×C79C2211yescharacteristic
237#532×C79C2211yescharacteristic
238#529×C79C2214yes—
239#529×C79C2214yes—
240#525×C79C2212yes—
241C4×#41×C79C2212yes—
242C2×#117×C79C2211yescharacteristic
243C2×#11929624C2312yes—
244C2×#11929624C2314yes—
245C2×#11929623C2314yes—
246C2×#11929623C2314yes—
247C2×#11929623C2314yes—
248C22×Dic158C2312yes—
249C22×Dic158C2314yes—
250C22×Dic158C2312yes—
251C2×Q8×D79C2314yes—
252C23×Dic79C2312yes—
253#14579161C2311yescharacteristic
254#14579161C2314yes—
255#14579161C2314yes—
256#14579161C2312yes—
257#14579160C2312yes—
258#14579160C2314yes—
259#14579160C2314yes—
260#14579160C2314yes—
261#14579160C2312yes—
262#14579160C2314yes—
263#14579160C2314yes—
264#14579160C2312yes—
265#14579160C2312yes—
266#14579160C2312yes—
267#14579160C2314yes—
268#14579160C2314yes—
269#14579160C2312yes—
270#14579160C2312yes—
271#14579160C2312yes—
272#14579160C2312yes—
273#14579160C2312yes—
274#14579160C2312yes—
275#14579160C2312yes—
276#14579159C2312yes—
277#14579159C2314yes—
278#14579159C2314yes—
279#14579159C2314yes—
280#14579159C2312yes—
281#14579158C2311yescharacteristic
282#14579157C2312yes—
283#14579157C2312yes—
284#14579156C2314yes—
285#14579156C2314yes—
286#14579156C2314yes—
287#14579156C2314yes—
288#14579156C2314yes—
289#14579156C2314yes—
290#14579156C2314yes—
291#14579156C2314yes—
292#14579156C2314yes—
293#14579156C2314yes—
294#14579155C2314yes—
295#14579155C2314yes—
296#14579154C2314yes—
297#14579154C2314yes—
298#14579154C2314yes—
299#14579154C2314yes—
300#14579154C2314yes—
301#14579154C2314yes—
302#14579154C2314yes—
303#14579154C2314yes—
304#14579154C2314yes—
305#14579154C2314yes—
306#14579154C2314yes—
307#14579154C2314yes—
308#14579154C2314yes—
309#14579154C2314yes—
310#14579154C2314yes—
311#14579154C2314yes—
312#14579153C2314yes—
313#14579153C2314yes—
314#14579153C2311yescharacteristic
315#14579153C2311yescharacteristic
316#14579153C2314yes—
317#14579152C2314yes—
318#14579152C2312yes—
319#14579152C2314yes—
320#14579152C2312yes—
321#14579152C2314yes—
322#14579152C2314yes—
323#14579152C2314yes—
324#14579152C2312yes—
325#14579152C2312yes—
326#14579152C2314yes—
327#14579152C2312yes—
328#14579152C2312yes—
329#14579152C2314yes—
330#14579152C2312yes—
331#14579152C2312yes—
332#14579152C2312yes—
333#14579152C2312yes—
334#14579152C2312yes—
335#14579152C2312yes—
336#14579151C2314yes—
337#14579151C2314yes—
338#14579151C2314yes—
339#14579151C2314yes—
340#14579151C2314yes—
341#14579151C2314yes—
342#14579151C2314yes—
343#14579151C2314yes—
344#14579151C2314yes—
345#14579151C2314yes—
346#14579151C2314yes—
347#14579151C2314yes—
348#14579151C2314yes—
349#14579151C2314yes—
350#14579151C2314yes—
351#14579151C2314yes—
352#14579150C2312yes—
353#14579150C2312yes—
354#14579149C2314yes—
355#14579149C2312yes—
356#14579148C2314yes—
357#14579148C2314yes—
358#14579148C2312yes—
359#14579148C2314yes—
360#14579148C2312yes—
361#14579147C2314yes—
362#14579147C2314yes—
363#14579147C2314yes—
364#14579147C2314yes—
365#14579147C2314yes—
366#14579147C2314yes—
367#14579147C2314yes—
368#14579147C2314yes—
369#14579147C2314yes—
370#14579147C2314yes—
371#14579146C2314yes—
372#14579146C2314yes—
373#14579146C2314yes—
374#14579146C2314yes—
375#14579145C2314yes—
376#14579145C2314yes—
377#14579145C2314yes—
378#14579145C2314yes—
379#14579145C2314yes—
380#14579145C2314yes—
381#14579144C2314yes—
382#14579144C2314yes—
383#14579144C2314yes—
384#14579143C2314yes—
385#14579143C2314yes—
386#14579143C2314yes—
387#14579143C2314yes—
388#14579143C2314yes—
389#14579143C2314yes—
390#14579143C2314yes—
391#14579143C2314yes—
392#14579143C2314yes—
393#14579143C2314yes—
394#14579142C2314yes—
395#14579142C2314yes—
396#14579142C2314yes—
397#14579142C2314yes—
398#14579142C2314yes—
399#14579142C2314yes—
400#14579141C2314yes—
401#14579141C2314yes—
402#14579141C2314yes—
403#14579141C2314yes—
404#14579141C2314yes—
405#14579141C2314yes—
406#14579140C2314yes—
407#14579140C2314yes—
408#14579140C2314yes—
409#14579140C2314yes—
410#14579140C2314yes—
411#14579140C2314yes—
412#14579140C2312yes—
413#14579140C2312yes—
414#14579139C2314yes—
415#14579139C2314yes—
416#14579139C2314yes—
417#14579139C2314yes—
418#14579139C2314yes—
419#14579139C2314yes—
420#14579139C2314yes—
421#14579139C2314yes—
422#14579139C2314yes—
423#14579139C2314yes—
424#14579138C2312yes—
425#14579138C2314yes—
426#14579138C2312yes—
427#14579138C2314yes—
428#14579138C2314yes—
429#14579138C2314yes—
430#14579138C2312yes—
431#14579138C2314yes—
432#14579138C2312yes—
433#14579138C2314yes—
434#14579138C2312yes—
435#14579138C2314yes—
436#14579138C2314yes—
437#14579138C2314yes—
438#14579138C2314yes—
439#14579138C2312yes—
440#14579138C2314yes—
441#14579138C2314yes—
442#14579138C2314yes—
443#14579138C2312yes—
444#14579138C2314yes—
445#14579138C2312yes—
446#14579138C2314yes—
447#14579138C2312yes—
448#14579138C2312yes—
449#14579138C2312yes—
450#14579138C2312yes—
451#14579138C2314yes—
452#14579138C2314yes—
453#14579138C2312yes—
454#14579138C2312yes—
455#14579138C2312yes—
456#14579138C2312yes—
457#14579138C2314yes—
458#14579137C2314yes—
459#14579137C2314yes—
460#14579137C2314yes—
461#14579135C2314yes—
462#14579135C2314yes—
463#14579135C2312yes—
464#14579135C2312yes—
465#14579134C2314yes—
466#14579134C2314yes—
467#14579134C2314yes—
468#14579134C2314yes—
469#14579133C2314yes—
470#14579133C2314yes—
471#14579133C2314yes—
472#14579133C2314yes—
473#14579133C2314yes—
474#14579133C2314yes—
475#14579133C2314yes—
476#14579133C2314yes—
477#14579133C2314yes—
478#14579133C2314yes—
479#14579132C2314yes—
480#14579132C2314yes—
481#14579132C2314yes—
482#14579130C2314yes—
483Q8×Dic79C2312yes—
484Q8×Dic79C2312yes—
485Q8×Dic79C2314yes—
486Q8×Dic79C2312yes—
487Q8×Dic79C2312yes—
488C4×Dic158C2314yes—
489C4×Dic158C2314yes—
490C4×Dic158C2314yes—
491C4×Dic158C2314yes—
492C4×Dic158C2314yes—
493C4×Dic158C2312yes—
494C4×Dic158C2312yes—
495C4×Dic158C2312yes—
496C4×Dic158C2312yes—
497C4×Dic158C2312yes—
498C4×Dic158C2312yes—
499C4×Dic158C2312yes—
500C4×Dic158C2312yes—
501C4×Dic158C2312yes—
502C4×Dic158C2312yes—
503C4×Dic158C2312yes—
504C4×Dic158C2314yes—
505C4×Dic158C2314yes—
506C4×Dic158C2312yes—
507C4×Dic158C2312yes—
508C4×Dic158C2312yes—
509C4×Dic158C2312yes—
510C4×Dic158C2312yes—
511C4×Dic158C2312yes—
512C4×Dic158C2312yes—
513C4×Dic158C2314yes—
514C4×Dic158C2314yes—
515C4×Dic158C2314yes—
516#14579126C2314yes—
517#14579126C2314yes—
518#14579126C2314yes—
519#14579126C2314yes—
520#14579126C2312yes—
521#14579126C2312yes—
522#14579126C2314yes—
523#14579126C2314yes—
524#14579126C2312yes—
525#14579126C2312yes—
526C4×D316C2314yes—
527C4×D316C2312yes—
528C4×D316C2312yes—
529C4×D316C2314yes—
530D4×Dic79C2314yes—
531D4×Dic79C2314yes—
532D4×Dic79C2314yes—
533D4×Dic79C2314yes—
534D4×Dic79C2312yes—
535D4×Dic79C2312yes—
536D4×Dic79C2314yes—
537D4×Dic79C2314yes—
538D4×Dic79C2312yes—
539D4×Dic79C2314yes—
540D4×Dic79C2312yes—
541#14579123C2312yes—
542#14579123C2312yes—
543#14579123C2312yes—
544#14579123C2312yes—
545C4×C22⋊D79C2314yes—
546C4×C22⋊D79C2314yes—
547C4×C22⋊D79C2314yes—
548C4×C22⋊D79C2314yes—
549C4×C22⋊D79C2314yes—
550C4×C22⋊D79C2314yes—
551C4×C22⋊D79C2314yes—
552C4×C22⋊D79C2314yes—
553C4×C22⋊D79C2314yes—
554C4×C22⋊D79C2314yes—
555(C22⋊D79)⋊C4C2314yes—
556(C22⋊D79)⋊C4C2314yes—
557(C22⋊D79)⋊C4C2314yes—
558(C22⋊D79)⋊C4C2314yes—
559(C22⋊D79)⋊C4C2314yes—
560(C22⋊D79)⋊C4C2314yes—
561(C22⋊D79)⋊C4C2314yes—
562(C22⋊D79)⋊C4C2314yes—
563(C22⋊D79)⋊C4C2314yes—
564(C22⋊D79)⋊C4C2314yes—
565#14579120C2311yescharacteristic
566#14579120C2312yes—
567#14579120C2314yes—
568#14579120C2311yescharacteristic
569#14579120C2311yescharacteristic
570#14579120C2312yes—
571#14579120C2311yescharacteristic
572#14579120C2312yes—
573#14579120C2314yes—
574#14579120C2314yes—
575#14579119C2314yes—
576#14579119C2314yes—
577#14579119C2314yes—
578#14579118C2314yes—
579#14579118C2314yes—
580#14579118C2314yes—
581#14579118C2314yes—
582#14579118C2314yes—
583#14579117C2314yes—
584#14579117C2314yes—
585#14579117C2314yes—
586#14579117C2314yes—
587#14579117C2314yes—
588#14579117C2314yes—
589C2×C4⋊Dic79C2312yes—
590C2×C4⋊Dic79C2314yes—
591C2×C4⋊Dic79C2312yes—
592C2×C4⋊Dic79C2312yes—
593C2×Dic79⋊C4C2314yes—
594C2×Dic79⋊C4C2314yes—
595C2×Dic79⋊C4C2312yes—
596C2×Dic79⋊C4C2312yes—
597C2×Dic79⋊C4C2312yes—
598C2×Dic79⋊C4C2312yes—
599C4⋊C4×D79C2314yes—
600C4⋊C4×D79C2314yes—
601C4⋊C4×D79C2314yes—
602C2×C22⋊Dic79C2311yescharacteristic
603C2×C22⋊Dic79C2311yescharacteristic
604C2×C4×Dic79C2312yes—
605C2×C4×Dic79C2311yescharacteristic
606C2×C4×Dic79C2312yes—
607C2×C4×Dic79C2311yescharacteristic
608C2×C4×Dic79C2311yescharacteristic
609C2×C4×Dic79C2311yescharacteristic
610C2×C4×Dic79C2311yescharacteristic
611C2×C4×Dic79C2312yes—
612C2×C4×Dic79C2311yescharacteristic
613C2×C4×Dic79C2312yes—
614C2×C4×Dic79C2314yes—
615C2×C4×Dic79C2314yes—
616C42×D79C2314yes—
617C42×D79C2314yes—
618C42×D79C2314yes—
619C2×#41×C79C2312yes—
620C23×C4×C79C2311yescharacteristic
621C4⋊Q8×C79C2312yes—
622C4⋊Q8×C79C2311yescharacteristic
623#127×C79C2311yescharacteristic
624#126×C79C2314yes—
625#126×C79C2314yes—
626#126×C79C2314yes—
627#126×C79C2314yes—
628#125×C79C2314yes—
629#125×C79C2314yes—
630#125×C79C2311yescharacteristic
631#125×C79C2311yescharacteristic
632#124×C79C2314yes—
633#124×C79C2314yes—
634#124×C79C2312yes—
635#123×C79C2314yes—
636#123×C79C2314yes—
637#123×C79C2314yes—
638#123×C79C2314yes—
639#123×C79C2314yes—
640C22⋊Q8×C79C2314yes—
641C22⋊Q8×C79C2312yes—
642C22⋊Q8×C79C2312yes—
643C22⋊Q8×C79C2314yes—
644C22⋊Q8×C79C2314yes—
645#121×C79C2314yes—
646#121×C79C2312yes—
647#121×C79C2312yes—
648#121×C79C2314yes—
649#121×C79C2314yes—
650#120×C79C2314yes—
651C4×Q8×C79C2312yes—
652C4×Q8×C79C2312yes—
653C4×Q8×C79C2314yes—
654C4×D4×C79C2314yes—
655C4×D4×C79C2314yes—
656C4×D4×C79C2312yes—
657C4×D4×C79C2312yes—
658C4×D4×C79C2314yes—
659C4×D4×C79C2314yes—
660C4×D4×C79C2314yes—
661#117×C79C2311yescharacteristic
662#117×C79C2311yescharacteristic
663#117×C79C2311yescharacteristic
664#117×C79C2311yescharacteristic
665#117×C79C2312yes—
666#117×C79C2312yes—
667#117×C79C2312yes—
668#117×C79C2314yes—
669C2×C4⋊C4×C79C2312yes—
670C2×C22⋊C4×C79C2312yes—
671C2×C42×C79C2311yescharacteristic
672C2×C42×C79C2311yescharacteristic
673C2×C42×C79C2314yes—
674#11929624—28no—
675#11929624—48no—
676#11929623—48no—
677#11929623—48no—
678#11929623—48no—
679C2×Dic158—44no—
680C2×Dic158—48no—
681C2×Dic158—44no—
682C2×Dic158C2412yes—
683C2×Dic158C2414yes—
684C2×Dic158C2412yes—
685C2×Dic158C2412yes—
686C2×Dic158C2412yes—
687C2×Dic158C2412yes—
688C2×Dic158C2414yes—
689C2×Dic158C2412yes—
690C2×Dic158C2412yes—
691C2×Dic158C2414yes—
692C2×Dic158C2412yes—
693C2×Dic158C2414yes—
694C2×Dic158C2412yes—
695C2×Dic158C2414yes—
696Q8×D79—48no—
697C2×D316C2412yes—
698C2×D316C2414yes—
699C2×C22⋊D79C2414yes—
700C2×C22⋊D79C2414yes—
701C2×C22⋊D79C2414yes—
702C2×C22⋊D79C2414yes—
703C2×C22⋊D79C2414yes—
704C2×C22⋊D79C2414yes—
705C2×C22⋊D79C2414yes—
706C22×Dic79—44no—
707C22×Dic79C2412yes—
708C22×Dic79C2414yes—
709C22×Dic79C2412yes—
710C22×Dic79C2412yes—
711C22×Dic79C2412yes—
712C22×Dic79C2412yes—
713C22×Dic79C2414yes—
714C22×Dic79C2414yes—
715C22×Dic79C2414yes—
716C22×Dic79C2412yes—
717C22×Dic79C2412yes—
718C22×Dic79C2412yes—
719C2×C4×D79C2414yes—
720C2×C4×D79C2414yes—
721C2×C4×D79C2414yes—
722C2×C4×D79C2414yes—
723C2×C4×D79C2414yes—
724C2×C4×D79C2414yes—
725C2×C4×D79C2414yes—
726C4⋊Dic79C2412yes—
727C4⋊Dic79C2414yes—
728C4⋊Dic79C2414yes—
729C4⋊Dic79C2412yes—
730C4⋊Dic79C2412yes—
731C4⋊Dic79C2412yes—
732C4⋊Dic79C2412yes—
733C4⋊Dic79C2412yes—
734C4⋊Dic79C2412yes—
735C4⋊Dic79C2412yes—
736C4⋊Dic79C2412yes—
737C4⋊Dic79C2414yes—
738C4⋊Dic79C2412yes—
739C4⋊Dic79C2412yes—
740C4⋊Dic79C2412yes—
741C4⋊Dic79C2414yes—
742C4⋊Dic79C2414yes—
743C4⋊Dic79C2412yes—
744C4⋊Dic79C2412yes—
745C4⋊Dic79C2414yes—
746C4⋊Dic79C2414yes—
747C4⋊Dic79C2414yes—
748C4⋊Dic79C2414yes—
749C4⋊Dic79C2414yes—
750Dic79⋊C4C2412yes—
751Dic79⋊C4C2412yes—
752Dic79⋊C4C2414yes—
753Dic79⋊C4C2414yes—
754Dic79⋊C4C2414yes—
755Dic79⋊C4C2414yes—
756Dic79⋊C4C2412yes—
757Dic79⋊C4C2412yes—
758Dic79⋊C4C2412yes—
759Dic79⋊C4C2412yes—
760Dic79⋊C4C2412yes—
761Dic79⋊C4C2412yes—
762Dic79⋊C4C2412yes—
763Dic79⋊C4C2414yes—
764Dic79⋊C4C2412yes—
765Dic79⋊C4C2414yes—
766Dic79⋊C4C2414yes—
767Dic79⋊C4C2412yes—
768Dic79⋊C4C2414yes—
769Dic79⋊C4C2412yes—
770Dic79⋊C4C2412yes—
771Dic79⋊C4C2412yes—
772Dic79⋊C4C2412yes—
773Dic79⋊C4C2412yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2414yes—
776Dic79⋊C4C2414yes—
777Dic79⋊C4C2414yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2414yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2414yes—
785Dic79⋊C4C2414yes—
786Dic79⋊C4C2414yes—
787Dic79⋊C4C2414yes—
788C22⋊Dic79C2411yescharacteristic
789C22⋊Dic79C2412yes—
790C22⋊Dic79C2411yescharacteristic
791C22⋊Dic79C2412yes—
792C22⋊Dic79C2411yescharacteristic
793C22⋊Dic79C2411yescharacteristic
794C22⋊Dic79C2414yes—
795C22⋊Dic79C2414yes—
796C22⋊Dic79C2414yes—
797C22⋊Dic79C2414yes—
798C22⋊Dic79C2414yes—
799C22⋊Dic79C2414yes—
800C22⋊Dic79C2414yes—
801C22⋊Dic79C2414yes—
802C22⋊Dic79C2414yes—
803C22⋊Dic79C2414yes—
804C22⋊Dic79C2414yes—
805(C2×D79)⋊C4C2414yes—
806(C2×D79)⋊C4C2414yes—
807(C2×D79)⋊C4C2414yes—
808(C2×D79)⋊C4C2414yes—
809(C2×D79)⋊C4C2414yes—
810(C2×D79)⋊C4C2414yes—
811(C2×D79)⋊C4C2414yes—
812(C2×D79)⋊C4C2414yes—
813(C2×D79)⋊C4C2414yes—
814(C2×D79)⋊C4C2414yes—
815(C2×D79)⋊C4C2414yes—
816(C2×D79)⋊C4C2414yes—
817(C2×D79)⋊C4C2414yes—
818(C2×D79)⋊C4C2414yes—
819C4×Dic79C2412yes—
820C4×Dic79C2412yes—
821C4×Dic79C2414yes—
822C4×Dic79C2414yes—
823C4×Dic79C2414yes—
824C4×Dic79C2414yes—
825C4×Dic79C2414yes—
826C4×Dic79C2414yes—
827C4×Dic79C2414yes—
828C4×Dic79C2411yescharacteristic
829C4×Dic79C2412yes—
830C4×Dic79C2412yes—
831C4×Dic79C2412yes—
832C4×Dic79C2411yescharacteristic
833C4×Dic79C2412yes—
834C4×Dic79C2412yes—
835C4×Dic79C2412yes—
836C4×Dic79C2411yescharacteristic
837C4×Dic79C2411yescharacteristic
838C4×Dic79C2414yes—
839C4×Dic79C2414yes—
840C4×Dic79C2414yes—
841C4×Dic79C2412yes—
842C4×Dic79C2412yes—
843C4×Dic79C2414yes—
844C24×C79C2411yescharacteristic
845#41×C79—28no—
846C2×Q8×C79C2412yes—
847C2×Q8×C79C2414yes—
848C2×D4×C79C2414yes—
849C2×D4×C79C2412yes—
850C2×D4×C79C2414yes—
851C2×D4×C79C2414yes—
852C2×D4×C79C2414yes—
853C22×C4×C79—24no—
854C22×C4×C79C2414yes—
855C22×C4×C79C2411yescharacteristic
856C22×C4×C79C2411yescharacteristic
857C22×C4×C79C2411yescharacteristic
858C22×C4×C79C2411yescharacteristic
859C22×C4×C79C2411yescharacteristic
860C22×C4×C79C2412yes—
861C22×C4×C79C2412yes—
862C22×C4×C79C2414yes—
863C22×C4×C79C2414yes—
864C22×C4×C79C2411yescharacteristic
865C4⋊C4×C79C2412yes—
866C4⋊C4×C79C2412yes—
867C4⋊C4×C79C2412yes—
868C4⋊C4×C79C2412yes—
869C4⋊C4×C79C2412yes—
870C4⋊C4×C79C2412yes—
871C4⋊C4×C79C2414yes—
872C4⋊C4×C79C2414yes—
873C4⋊C4×C79C2414yes—
874C4⋊C4×C79C2414yes—
875C4⋊C4×C79C2414yes—
876C4⋊C4×C79C2414yes—
877C4⋊C4×C79C2414yes—
878C4⋊C4×C79C2414yes—
879C22⋊C4×C79C2412yes—
880C22⋊C4×C79C2412yes—
881C22⋊C4×C79C2412yes—
882C22⋊C4×C79C2412yes—
883C22⋊C4×C79C2414yes—
884C22⋊C4×C79C2414yes—
885C22⋊C4×C79C2414yes—
886C22⋊C4×C79C2414yes—
887C22⋊C4×C79C2414yes—
888C22⋊C4×C79C2414yes—
889C22⋊C4×C79C2414yes—
890C22⋊C4×C79C2414yes—
891C22⋊C4×C79C2414yes—
892C42×C79C2412yes—
893C42×C79C2412yes—
894C42×C79C2414yes—
895C42×C79C2411yescharacteristic
896C42×C79C2411yescharacteristic
897C42×C79C2411yescharacteristic
898C42×C79C2411yescharacteristic
899C42×C79C2414yes—
900C42×C79C2414yes—
901C23×C79—22no—
902C23×C79—42no—
903C23×C79C2511yescharacteristic
904C23×C79C2511yescharacteristic
905C23×C79C2514yes—
906C23×C79C2511yescharacteristic
907C22×D79C2514yes—
908Q8×C79—24no—
909Q8×C79—44no—
910D4×C79—28no—
911D4×C79—24no—
912D4×C79—44no—
913D4×C79—44no—
914D4×C79—44no—
915C2×C4×C79—22no—
916C2×C4×C79—22no—
917C2×C4×C79—22no—
918C2×C4×C79—22no—
919C2×C4×C79—22no—
920C2×C4×C79—28no—
921C2×C4×C79—42no—
922C2×C4×C79—44no—
923C2×C4×C79—42no—
924C2×C4×C79—44no—
925C2×C4×C792−1+414yes—
926C2×C4×C79C2514yes—
927C2×C4×C79C2511yescharacteristic
928C2×C4×C79C2511yescharacteristic
929C2×C4×C79C2512yes—
930C2×C4×C79C2514yes—
931C2×C4×C79C2514yes—
932C2×C4×C79C2512yes—
933C2×C4×C79C2512yes—
934C2×C4×C79C2512yes—
935C2×C4×C79C2511yescharacteristic
936C2×C4×C79C2511yescharacteristic
937C22⋊D79—28no—
938C22⋊D79—28no—
939C22⋊D79—44no—
940C22⋊D79—44no—
941C22⋊D79—44no—
942C22⋊D79—44no—
943C22⋊D79—44no—
944C2×Dic79—24no—
945C2×Dic79—24no—
946C2×Dic79—24no—
947C2×Dic79—28no—
948C2×Dic79—42no—
949C2×Dic79—42no—
950C2×Dic79—42no—
951C2×Dic79—42no—
952C2×Dic79—42no—
953C2×Dic79—44no—
954C2×Dic79—44no—
955C2×Dic79—44no—
956C2×Dic79C2512yes—
957C2×Dic79C2514yes—
958C2×Dic79C2512yes—
959C2×Dic79C2512yes—
960C2×Dic79C2512yes—
961C2×Dic79C2514yes—
962C2×Dic79C2514yes—
963C2×Dic79C2512yes—
964C2×Dic79C2512yes—
965C2×Dic79C2512yes—
966C2×Dic79C2512yes—
967D316—24no—
968D316—44no—
969C4×D79—28no—
970C4×D79—28no—
971C4×D79—44no—
972C4×D79—44no—
973C4×D79—44no—
974C4×D79—44no—
975C4×D79—44no—
976Dic158—24no—
977Dic158—24no—
978Dic158—28no—
979Dic158—24no—
980Dic158—24no—
981Dic158—24no—
982Dic158—44no—
983Dic158—42no—
984Dic158—42no—
985Dic158—44no—
986Dic158—44no—
987Dic158—42no—
988Dic158—42no—
989Dic158—44no—
990C22×C79—22no—
991C22×C79—21no—
992C22×C79—21no—
993C22×C79—24no—
994C22×C79—24no—
995C22×C79—24no—
996C22×C79—22no—
997C22×C79—22no—
998C22×C79—44no—
999C22×C79C2×2−1+412yes—
1000C22×C79C2611yescharacteristic
1001C2×D79—24no—
1002C2×D79—24no—
1003C2×D79—24no—
1004C4×C79—21no—
1005C4×C79—21no—
1006C4×C79—24no—
1007C4×C79—22no—
1008C4×C79—22no—
1009C4×C79—22no—
1010C4×C79—24no—
1011C4×C79—24no—
1012C4×C79—22no—
1013C4×C79C2×2−1+412yes—
1014C4×C79C2×2−1+412yes—
1015Dic79—24no—
1016Dic79—22no—
1017Dic79—22no—
1018Dic79—22no—
1019Dic79—24no—
1020Dic79—24no—
1021Dic79—22no—
1022Dic79—22no—
1023Dic79—22no—
1024Dic79—22no—
1025Dic79#58514yes—
1026#62761—791nomaximal, Sylow
1027C2×C79—22no—
1028C2×C79—44no—
1029C2×C79—41no—
1030C2×C79—41no—
1031C2×C79C22×2−1+411yescharacteristic
1032C2×C79C2×#58512yes—
1033D79—44no—
1034#3557—792no—
1035#3557—791no—
1036#3557—791no—
1037#3556—791no—
1038#3555—792no—
1039#3555—792no—
1040#3554—792no—
1041#3554—792no—
1042#3553—794no—
1043#3552—794no—
1044#3550—792no—
1045#3548—791no—
1046#3541—794no—
1047#3541—794no—
1048#3531—794no—
1049#3482—794no—
1050#3480—792no—
1051#3480—792no—
1052Q8×#41—792no—
1053Q8×#41—792no—
1054#3461—794no—
1055#3461—794no—
1056#3455—792no—
1057#3455—791no—
1058#3455D7911yescharacteristic, complemented
1059#3444—792no—
1060C2×#533—791no—
1061C79#6276111yescharacteristic, complemented, Sylow
1062#564—794no—
1063#563—794no—
1064#563—794no—
1065#563—794no—
1066#563—794no—
1067#563—794no—
1068#563—794no—
1069#563—794no—
1070#563—794no—
1071#563—794no—
1072#563—794no—
1073#562—794no—
1074#562—794no—
1075#562—794no—
1076#562—794no—
1077#562—794no—
1078#559—792no—
1079#559—792no—
1080#559—792no—
1081#559—792no—
1082#559—792no—
1083#559—792no—
1084Q82—792no—
1085Q82—792no—
1086#557—792no—
1087#557—792no—
1088#557—792no—
1089#557—792no—
1090#557—794no—
1091#557—792no—
1092#557—792no—
1093#557—792no—
1094#557—792no—
1095#556—792no—
1096#556—794no—
1097#556—794no—
1098#556—794no—
1099#556—792no—
1100#556—792no—
1101#556—792no—
1102#556—792no—
1103#556—792no—
1104#554—792no—
1105#554—792no—
1106#554—792no—
1107#554—794no—
1108#554—794no—
1109#554—794no—
1110#554—794no—
1111#554—792no—
1112#554—794no—
1113#554—794no—
1114#554—792no—
1115#554—792no—
1116#553—794no—
1117#553—794no—
1118#553—794no—
1119#553—794no—
1120#553—794no—
1121#553—794no—
1122#552—794no—
1123#552—794no—
1124#552—794no—
1125#552—794no—
1126#552—794no—
1127#552—794no—
1128#550—792no—
1129#550—792no—
1130D4×Q8—792no—
1131D4×Q8—794no—
1132D4×Q8—794no—
1133D4×Q8—794no—
1134D4×Q8—792no—
1135#548—794no—
1136#548—794no—
1137#548—794no—
1138#548—794no—
1139#547—794no—
1140#547—794no—
1141#547—794no—
1142#544—794no—
1143#544—794no—
1144#542—794no—
1145#542—794no—
1146#542—794no—
1147#542—794no—
1148#542—794no—
1149#542—794no—
1150#542—794no—
1151#542—792no—
1152#542—792no—
1153#542—792no—
1154#542—792no—
1155#542—794no—
1156#542—792no—
1157#542—792no—
1158#542C2×D7912yes—
1159#542C2×D7912yes—
1160#541—794no—
1161#541—794no—
1162#541—794no—
1163#541—794no—
1164#541—794no—
1165#541—794no—
1166#541—794no—
1167#541—792no—
1168#541—792no—
1169#541—794no—
1170#541—791no—
1171#541—791no—
1172#541C2×D7911yescharacteristic
1173#541C2×D7911yescharacteristic
1174#540—792no—
1175#540—792no—
1176#540—791no—
1177#540—791no—
1178#540C2×D7911yescharacteristic
1179#540C2×D7911yescharacteristic
1180#539—794no—
1181#539—794no—
1182#539—794no—
1183#539—794no—
1184#539—794no—
1185#539—794no—
1186#539—794no—
1187#539—794no—
1188#539—794no—
1189#539—794no—
1190#539—794no—
1191#539C2×D7914yes—
1192#538—794no—
1193#538—794no—
1194#538—794no—
1195#538C2×D7914yes—
1196#537—794no—
1197#537—794no—
1198#536—794no—
1199#536—794no—
1200#536—794no—
1201#536—794no—
1202#533—792no—
1203#533—792no—
1204#533—794no—
1205#533—794no—
1206#533—794no—
1207#533—792no—
1208#533—792no—
1209#533—792no—
1210#533—792no—
1211#533—791no—
1212#533—791no—
1213#533—792no—
1214#533—792no—
1215#533—791no—
1216#533—791no—
1217#533—792no—
1218#533—792no—
1219#533—794no—
1220#533—794no—
1221#533—791no—
1222#533—794no—
1223#533C2×D7911yescharacteristic
1224#532—792no—
1225#532—792no—
1226#532—792no—
1227#532—792no—
1228#532—791no—
1229#532C2×D7911yescharacteristic
1230C2×C4⋊Q8—792no—
1231#529—794no—
1232#529—794no—
1233#529—792no—
1234#529—792no—
1235#529—792no—
1236#529—792no—
1237#529—794no—
1238#529—794no—
1239#529—794no—
1240#529—794no—
1241#529—794no—
1242#529—794no—
1243#529—794no—
1244#529—794no—
1245#529—794no—
1246#529—794no—
1247#529—794no—
1248#529—794no—
1249#529—794no—
1250#529—794no—
1251#529C2×D7914yes—
1252#529C2×D7914yes—
1253C2×#125—792no—
1254#525—792no—
1255#525—794no—
1256#525—794no—
1257#525C2×D7912yes—
1258C2×C22⋊Q8—792no—
1259C2×C22⋊Q8—792no—
1260C4×#41—792no—
1261C4×#41—792no—
1262C4×#41—794no—
1263C4×#41—794no—
1264C4×#41—794no—
1265C4×#41—792no—
1266C4×#41—792no—
1267C4×#41—792no—
1268C4×#41—794no—
1269C4×#41C2×D7912yes—
1270C2×C4×Q8—794no—
1271C2×C4×Q8—792no—
1272C2×C4×Q8—792no—
1273C2×C4×Q8—794no—
1274C2×#117—791no—
1275C2×#117C2×D7911yescharacteristic
1276C22×C42—791no—
1277C2×#41—794no—
1278C2×#41—794no—
1279C2×#41—794no—
1280C2×#41—794no—
1281C2×#41—792no—
1282C2×#41C22×D7912yes—
1283C22×Q8—794no—
1284C22×Q8—792no—
1285C22×Q8—792no—
1286C22×Q8—794no—
1287C23×C4—792no—
1288C23×C4C22×D7911yescharacteristic
1289C4⋊Q8—792no—
1290C4⋊Q8—792no—
1291C4⋊Q8—794no—
1292C4⋊Q8—794no—
1293C4⋊Q8—794no—
1294C4⋊Q8—792no—
1295C4⋊Q8—792no—
1296C4⋊Q8—792no—
1297C4⋊Q8—792no—
1298C4⋊Q8—792no—
1299C4⋊Q8—792no—
1300C4⋊Q8—792no—
1301C4⋊Q8—792no—
1302C4⋊Q8—792no—
1303C4⋊Q8—792no—
1304C4⋊Q8—794no—
1305C4⋊Q8—794no—
1306C4⋊Q8—794no—
1307C4⋊Q8—794no—
1308C4⋊Q8—792no—
1309C4⋊Q8—792no—
1310C4⋊Q8—794no—
1311C4⋊Q8—794no—
1312C4⋊Q8—794no—
1313C4⋊Q8—791no—
1314C4⋊Q8—794no—
1315C4⋊Q8—792no—
1316C4⋊Q8—794no—
1317C4⋊Q8C22×D7911yescharacteristic
1318C4⋊Q8C22×D7912yes—
1319#127—792no—
1320#127—792no—
1321#127—791no—
1322#127C22×D7911yescharacteristic
1323#126—794no—
1324#126—794no—
1325#126—794no—
1326#126—794no—
1327#126—794no—
1328#126—794no—
1329#126—794no—
1330#126—794no—
1331#126—794no—
1332#126—794no—
1333#126—794no—
1334#126—794no—
1335#126—794no—
1336#126—794no—
1337#126—794no—
1338#126—794no—
1339#126—794no—
1340#126—794no—
1341#126—794no—
1342#126—794no—
1343#126—794no—
1344#126—794no—
1345#126—794no—
1346#126—794no—
1347#126—794no—
1348#126—794no—
1349#126—794no—
1350#126—794no—
1351#126C22×D7914yes—
1352#126C22×D7914yes—
1353#126C22×D7914yes—
1354#126C22×D7914yes—
1355#125—792no—
1356#125—792no—
1357#125—792no—
1358#125—792no—
1359#125—792no—
1360#125—792no—
1361#125—792no—
1362#125—792no—
1363#125—794no—
1364#125—792no—
1365#125—792no—
1366#125—794no—
1367#125—794no—
1368#125—794no—
1369#125—794no—
1370#125—794no—
1371#125—794no—
1372#125—794no—
1373#125—794no—
1374#125—794no—
1375#125—794no—
1376#125—794no—
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—792no—
1389#125—792no—
1390#125—794no—
1391#125—794no—
1392#125—794no—
1393#125—791no—
1394#125—791no—
1395#125C22×D7914yes—
1396#125C22×D7914yes—
1397#125C22×D7911yescharacteristic
1398#125C22×D7911yescharacteristic
1399#124—792no—
1400#124—792no—
1401#124—792no—
1402#124—794no—
1403#124—794no—
1404#124—794no—
1405#124—792no—
1406#124—794no—
1407#124—794no—
1408#124—794no—
1409#124—794no—
1410#124—794no—
1411#124—794no—
1412#124—794no—
1413#124—794no—
1414#124—794no—
1415#124—794no—
1416#124—794no—
1417#124—792no—
1418#124C22×D7914yes—
1419#124C22×D7914yes—
1420#124C22×D7912yes—
1421#123—794no—
1422#123—794no—
1423#123—794no—
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—794no—
1434#123—794no—
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—794no—
1445#123—794no—
1446#123—794no—
1447#123—794no—
1448#123—794no—
1449#123—794no—
1450#123C22×D7914yes—
1451#123C22×D7914yes—
1452#123C22×D7914yes—
1453#123C22×D7914yes—
1454#123C22×D7914yes—
1455C22⋊Q8—794no—
1456C22⋊Q8—794no—
1457C22⋊Q8—794no—
1458C22⋊Q8—792no—
1459C22⋊Q8—792no—
1460C22⋊Q8—794no—
1461C22⋊Q8—794no—
1462C22⋊Q8—794no—
1463C22⋊Q8—794no—
1464C22⋊Q8—794no—
1465C22⋊Q8—794no—
1466C22⋊Q8—794no—
1467C22⋊Q8—794no—
1468C22⋊Q8—794no—
1469C22⋊Q8—794no—
1470C22⋊Q8—794no—
1471C22⋊Q8—794no—
1472C22⋊Q8—794no—
1473C22⋊Q8—794no—
1474C22⋊Q8—794no—
1475C22⋊Q8—794no—
1476C22⋊Q8—794no—
1477C22⋊Q8—794no—
1478C22⋊Q8—794no—
1479C22⋊Q8—794no—
1480C22⋊Q8—794no—
1481C22⋊Q8—794no—
1482C22⋊Q8—792no—
1483C22⋊Q8—792no—
1484C22⋊Q8—792no—
1485C22⋊Q8—792no—
1486C22⋊Q8—792no—
1487C22⋊Q8—792no—
1488C22⋊Q8—792no—
1489C22⋊Q8—792no—
1490C22⋊Q8—792no—
1491C22⋊Q8—792no—
1492C22⋊Q8—792no—
1493C22⋊Q8—792no—
1494C22⋊Q8—792no—
1495C22⋊Q8—792no—
1496C22⋊Q8—792no—
1497C22⋊Q8—792no—
1498C22⋊Q8—794no—
1499C22⋊Q8—794no—
1500C22⋊Q8—794no—
1501C22⋊Q8—794no—
1502C22⋊Q8—794no—
1503C22⋊Q8—794no—
1504C22⋊Q8—794no—
1505C22⋊Q8—794no—
1506C22⋊Q8—794no—
1507C22⋊Q8—794no—
1508C22⋊Q8—794no—
1509C22⋊Q8—794no—
1510C22⋊Q8—794no—
1511C22⋊Q8—794no—
1512C22⋊Q8—794no—
1513C22⋊Q8—794no—
1514C22⋊Q8—794no—
1515C22⋊Q8—794no—
1516C22⋊Q8C22×D7912yes—
1517C22⋊Q8C22×D7912yes—
1518C22⋊Q8C22×D7914yes—
1519C22⋊Q8C22×D7914yes—
1520C22⋊Q8C22×D7914yes—
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—792no—
1535#121—792no—
1536#121—794no—
1537#121—794no—
1538#121—794no—
1539#121—794no—
1540#121—794no—
1541#121—794no—
1542#121C22×D7912yes—
1543#121C22×D7912yes—
1544#121C22×D7914yes—
1545#121C22×D7914yes—
1546#121C22×D7914yes—
1547#120—794no—
1548#120C22×D7914yes—
1549C4×Q8—794no—
1550C4×Q8—792no—
1551C4×Q8—792no—
1552C4×Q8—792no—
1553C4×Q8—792no—
1554C4×Q8—794no—
1555C4×Q8—794no—
1556C4×Q8—794no—
1557C4×Q8—794no—
1558C4×Q8—794no—
1559C4×Q8—792no—
1560C4×Q8—792no—
1561C4×Q8—794no—
1562C4×Q8—792no—
1563C4×Q8—792no—
1564C4×Q8—792no—
1565C4×Q8—792no—
1566C4×Q8—794no—
1567C4×Q8—792no—
1568C4×Q8—792no—
1569C4×Q8—792no—
1570C4×Q8—794no—
1571C4×Q8—794no—
1572C4×Q8—792no—
1573C4×Q8—792no—
1574C4×Q8—794no—
1575C4×Q8—792no—
1576C4×Q8—792no—
1577C4×Q8—792no—
1578C4×Q8—792no—
1579C4×Q8—792no—
1580C4×Q8—792no—
1581C4×Q8—792no—
1582C4×Q8—792no—
1583C4×Q8—792no—
1584C4×Q8—794no—
1585C4×Q8—794no—
1586C4×Q8—794no—
1587C4×Q8—794no—
1588C4×Q8—794no—
1589C4×Q8—794no—
1590C4×Q8—792no—
1591C4×Q8—792no—
1592C4×Q8C22×D7914yes—
1593C4×Q8C22×D7912yes—
1594C4×Q8C22×D7912yes—
1595C4×D4—794no—
1596C4×D4—794no—
1597C4×D4—794no—
1598C4×D4—794no—
1599C4×D4—792no—
1600C4×D4—792no—
1601C4×D4—794no—
1602C4×D4—794no—
1603C4×D4—794no—
1604C4×D4—792no—
1605C4×D4—792no—
1606C4×D4—794no—
1607C4×D4—794no—
1608C4×D4—794no—
1609C4×D4—794no—
1610C4×D4—794no—
1611C4×D4—794no—
1612C4×D4—794no—
1613C4×D4—794no—
1614C4×D4—794no—
1615C4×D4—794no—
1616C4×D4—792no—
1617C4×D4—792no—
1618C4×D4—792no—
1619C4×D4—792no—
1620C4×D4—794no—
1621C4×D4—794no—
1622C4×D4—794no—
1623C4×D4—794no—
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—792no—
1633C4×D4—792no—
1634C4×D4C22×D7914yes—
1635C4×D4C22×D7914yes—
1636C4×D4C22×D7914yes—
1637C4×D4C22×D7914yes—
1638C4×D4C22×D7914yes—
1639C4×D4C22×D7912yes—
1640C4×D4C22×D7912yes—
1641#117—791no—
1642#117—791no—
1643#117—792no—
1644#117—791no—
1645#117—792no—
1646#117—791no—
1647#117—792no—
1648#117—794no—
1649#117—794no—
1650#117—794no—
1651#117—794no—
1652#117—794no—
1653#117—794no—
1654#117—794no—
1655#117—794no—
1656#117—794no—
1657#117—794no—
1658#117—794no—
1659#117—794no—
1660#117—794no—
1661#117—794no—
1662#117—794no—
1663#117—794no—
1664#117—794no—
1665#117C22×D7912yes—
1666#117C22×D7912yes—
1667#117C22×D7911yescharacteristic
1668#117C22×D7911yescharacteristic
1669#117C22×D7911yescharacteristic
1670#117C22×D7911yescharacteristic
1671#117C22×D7912yes—
1672#117C22×D7914yes—
1673C2×C4⋊C4—792no—
1674C2×C4⋊C4—792no—
1675C2×C4⋊C4—792no—
1676C2×C4⋊C4—792no—
1677C2×C4⋊C4—792no—
1678C2×C4⋊C4—792no—
1679C2×C4⋊C4—792no—
1680C2×C4⋊C4—794no—
1681C2×C4⋊C4—794no—
1682C2×C4⋊C4—794no—
1683C2×C4⋊C4—794no—
1684C2×C4⋊C4—794no—
1685C2×C4⋊C4—794no—
1686C2×C4⋊C4C22×D7912yes—
1687C2×C22⋊C4—791no—
1688C2×C22⋊C4—791no—
1689C2×C22⋊C4C22×D7912yes—
1690C2×C42—792no—
1691C2×C42—792no—
1692C2×C42—794no—
1693C2×C42—794no—
1694C2×C42—791no—
1695C2×C42—792no—
1696C2×C42—791no—
1697C2×C42—791no—
1698C2×C42—791no—
1699C2×C42—791no—
1700C2×C42—792no—
1701C2×C42—791no—
1702C2×C42—794no—
1703C2×C42—794no—
1704C2×C42—794no—
1705C2×C42C22×D7911yescharacteristic
1706C2×C42C22×D7911yescharacteristic
1707C2×C42C22×D7914yes—
1708C24C23×D7911yescharacteristic
1709#41—28no—
1710#41—3168no—
1711#41—3168no—
1712#41—3168no—
1713#41—3168no—
1714#41—1588no—
1715C2×Q8—3164no—
1716C2×Q8—3164no—
1717C2×Q8—3168no—
1718C2×Q8—3168no—
1719C2×Q8—792no—
1720C2×Q8—792no—
1721C2×Q8—794no—
1722C2×Q8—794no—
1723C2×Q8—792no—
1724C2×Q8—792no—
1725C2×Q8—794no—
1726C2×Q8—794no—
1727C2×Q8—792no—
1728C2×Q8—792no—
1729C2×Q8—792no—
1730C2×Q8—794no—
1731C2×Q8—792no—
1732C2×Q8—792no—
1733C2×Q8C23×D7912yes—
1734C2×Q8C23×D7914yes—
1735C2×D4—794no—
1736C2×D4—794no—
1737C2×D4—794no—
1738C2×D4—794no—
1739C2×D4—794no—
1740C2×D4—794no—
1741C2×D4—794no—
1742C2×D4—794no—
1743C2×D4—792no—
1744C2×D4C23×D7914yes—
1745C2×D4C23×D7912yes—
1746C2×D4C23×D7914yes—
1747C2×D4C23×D7914yes—
1748C2×D4C23×D7914yes—
1749C22×C4—24no—
1750C22×C4—3164no—
1751C22×C4—792no—
1752C22×C4—792no—
1753C22×C4—792no—
1754C22×C4—792no—
1755C22×C4—792no—
1756C22×C4—794no—
1757C22×C4—794no—
1758C22×C4—794no—
1759C22×C4—794no—
1760C22×C4—794no—
1761C22×C4—794no—
1762C22×C4—794no—
1763C22×C4—794no—
1764C22×C4—792no—
1765C22×C4—792no—
1766C22×C4—792no—
1767C22×C4—794no—
1768C22×C4—794no—
1769C22×C4—794no—
1770C22×C4C23×D7911yescharacteristic
1771C22×C4C23×D7911yescharacteristic
1772C22×C4C23×D7911yescharacteristic
1773C22×C4C23×D7914yes—
1774C22×C4C23×D7911yescharacteristic
1775C22×C4C23×D7911yescharacteristic
1776C22×C4C23×D7912yes—
1777C22×C4C23×D7912yes—
1778C22×C4C23×D7914yes—
1779C22×C4C23×D7914yes—
1780C22×C4C23×D7911yescharacteristic
1781C4⋊C4—792no—
1782C4⋊C4—792no—
1783C4⋊C4—792no—
1784C4⋊C4—792no—
1785C4⋊C4—794no—
1786C4⋊C4—794no—
1787C4⋊C4—792no—
1788C4⋊C4—792no—
1789C4⋊C4—792no—
1790C4⋊C4—792no—
1791C4⋊C4—792no—
1792C4⋊C4—792no—
1793C4⋊C4—794no—
1794C4⋊C4—794no—
1795C4⋊C4—794no—
1796C4⋊C4—794no—
1797C4⋊C4—792no—
1798C4⋊C4—792no—
1799C4⋊C4—794no—
1800C4⋊C4—794no—
1801C4⋊C4—792no—
1802C4⋊C4—792no—
1803C4⋊C4—792no—
1804C4⋊C4—792no—
1805C4⋊C4—794no—
1806C4⋊C4—794no—
1807C4⋊C4—794no—
1808C4⋊C4—794no—
1809C4⋊C4—794no—
1810C4⋊C4—794no—
1811C4⋊C4—794no—
1812C4⋊C4—794no—
1813C4⋊C4—794no—
1814C4⋊C4—794no—
1815C4⋊C4—794no—
1816C4⋊C4—794no—
1817C4⋊C4—794no—
1818C4⋊C4—794no—
1819C4⋊C4—792no—
1820C4⋊C4—792no—
1821C4⋊C4—794no—
1822C4⋊C4—792no—
1823C4⋊C4—792no—
1824C4⋊C4—792no—
1825C4⋊C4—792no—
1826C4⋊C4—792no—
1827C4⋊C4—792no—
1828C4⋊C4—792no—
1829C4⋊C4—792no—
1830C4⋊C4—794no—
1831C4⋊C4—794no—
1832C4⋊C4—792no—
1833C4⋊C4—792no—
1834C4⋊C4—794no—
1835C4⋊C4—792no—
1836C4⋊C4—792no—
1837C4⋊C4—794no—
1838C4⋊C4—794no—
1839C4⋊C4—794no—
1840C4⋊C4—794no—
1841C4⋊C4—794no—
1842C4⋊C4—794no—
1843C4⋊C4C23×D7914yes—
1844C4⋊C4C23×D7914yes—
1845C4⋊C4C23×D7914yes—
1846C4⋊C4C23×D7912yes—
1847C4⋊C4C23×D7912yes—
1848C4⋊C4C23×D7912yes—
1849C4⋊C4C23×D7912yes—
1850C4⋊C4C23×D7914yes—
1851C4⋊C4C23×D7914yes—
1852C4⋊C4C23×D7914yes—
1853C4⋊C4C23×D7912yes—
1854C4⋊C4C23×D7912yes—
1855C4⋊C4C23×D7914yes—
1856C4⋊C4C23×D7914yes—
1857C22⋊C4—791no—
1858C22⋊C4—791no—
1859C22⋊C4—792no—
1860C22⋊C4—792no—
1861C22⋊C4—791no—
1862C22⋊C4—791no—
1863C22⋊C4—794no—
1864C22⋊C4—794no—
1865C22⋊C4—794no—
1866C22⋊C4—794no—
1867C22⋊C4—794no—
1868C22⋊C4—794no—
1869C22⋊C4—794no—
1870C22⋊C4—794no—
1871C22⋊C4—794no—
1872C22⋊C4—794no—
1873C22⋊C4—794no—
1874C22⋊C4—794no—
1875C22⋊C4—794no—
1876C22⋊C4—794no—
1877C22⋊C4—794no—
1878C22⋊C4—794no—
1879C22⋊C4—794no—
1880C22⋊C4—794no—
1881C22⋊C4—794no—
1882C22⋊C4—794no—
1883C22⋊C4—794no—
1884C22⋊C4—794no—
1885C22⋊C4—794no—
1886C22⋊C4—794no—
1887C22⋊C4—794no—
1888C22⋊C4C23×D7912yes—
1889C22⋊C4C23×D7912yes—
1890C22⋊C4C23×D7912yes—
1891C22⋊C4C23×D7912yes—
1892C22⋊C4C23×D7914yes—
1893C22⋊C4C23×D7914yes—
1894C22⋊C4C23×D7914yes—
1895C22⋊C4C23×D7914yes—
1896C22⋊C4C23×D7914yes—
1897C22⋊C4C23×D7914yes—
1898C22⋊C4C23×D7914yes—
1899C22⋊C4C23×D7914yes—
1900C22⋊C4C23×D7914yes—
1901C42—791no—
1902C42—792no—
1903C42—791no—
1904C42—792no—
1905C42—792no—
1906C42—792no—
1907C42—791no—
1908C42—791no—
1909C42—794no—
1910C42—794no—
1911C42—794no—
1912C42—794no—
1913C42—792no—
1914C42—792no—
1915C42—794no—
1916C42—794no—
1917C42—794no—
1918C42—794no—
1919C42—794no—
1920C42—794no—
1921C42—792no—
1922C42—792no—
1923C42—792no—
1924C42—792no—
1925C42—794no—
1926C42C23×D7914yes—
1927C42C23×D7911yescharacteristic
1928C42C23×D7911yescharacteristic
1929C42C23×D7911yescharacteristic
1930C42C23×D7911yescharacteristic
1931C42C23×D7914yes—
1932C42C23×D7912yes—
1933C42C23×D7914yes—
1934C42C23×D7912yes—
1935C23—22no—
1936C23—42no—
1937C23—794no—
1938C23C24×D7911yescharacteristic
1939C23C24×D7911yescharacteristic
1940C23C24×D7914yes—
1941C23C24×D7911yescharacteristic
1942Q8—24no—
1943Q8—44no—
1944Q8—3162no—
1945Q8—3162no—
1946Q8—3164no—
1947Q8—3162no—
1948Q8—3164no—
1949Q8—3162no—
1950Q8—3164no—
1951Q8—3164no—
1952Q8—1584no—
1953Q8—1584no—
1954Q8—1588no—
1955Q8—1584no—
1956Q8—1584no—
1957Q8—1584no—
1958D4—28no—
1959D4—24no—
1960D4—44no—
1961D4—44no—
1962D4—44no—
1963D4—3164no—
1964D4—3164no—
1965D4—3164no—
1966D4—3164no—
1967D4—3164no—
1968D4—3164no—
1969D4—1588no—
1970D4—1588no—
1971D4—1584no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—28no—
1978C2×C4—42no—
1979C2×C4—44no—
1980C2×C4—42no—
1981C2×C4—44no—
1982C2×C4—3164no—
1983C2×C4—3164no—
1984C2×C4—3164no—
1985C2×C4—3164no—
1986C2×C4—3164no—
1987C2×C4—3162no—
1988C2×C4—3162no—
1989C2×C4—3162no—
1990C2×C4—3162no—
1991C2×C4—3162no—
1992C2×C4—3164no—
1993C2×C4—3164no—
1994C2×C4—3164no—
1995C2×C4—792no—
1996C2×C4—792no—
1997C2×C4—794no—
1998C2×C4—792no—
1999C2×C4—792no—
2000C2×C4—792no—
2001C2×C4—794no—
2002C2×C4—794no—
2003C2×C4—792no—
2004C2×C4—792no—
2005C2×C4—792no—
2006C2×C4—1588no—
2007C2×C4—1584no—
2008C2×C4—1584no—
2009C2×C4—1584no—
2010C2×C4—1588no—
2011C2×C4—1588no—
2012C2×C4#1457920814yes—
2013C2×C4C24×D7914yes—
2014C2×C4C24×D7911yescharacteristic
2015C2×C4C24×D7911yescharacteristic
2016C2×C4C24×D7912yes—
2017C2×C4C24×D7914yes—
2018C2×C4C24×D7914yes—
2019C2×C4C24×D7912yes—
2020C2×C4C24×D7912yes—
2021C2×C4C24×D7912yes—
2022C2×C4C24×D7911yescharacteristic
2023C2×C4C24×D7911yescharacteristic
2024C22—22no—
2025C22—21no—
2026C22—21no—
2027C22—24no—
2028C22—24no—
2029C22—24no—
2030C22—22no—
2031C22—22no—
2032C22—44no—
2033C22—1584no—
2034C22—1584no—
2035C22—1584no—
2036C22C2×#1457920812yes—
2037C22C25×D7911yescharacteristic
2038C4—21no—
2039C4—21no—
2040C4—24no—
2041C4—22no—
2042C4—22no—
2043C4—22no—
2044C4—24no—
2045C4—22no—
2046C4—24no—
2047C4—794no—
2048C4—1584no—
2049C4—1582no—
2050C4—1582no—
2051C4—1582no—
2052C4—1584no—
2053C4—1582no—
2054C4—1582no—
2055C4—1582no—
2056C4—1584no—
2057C4—1582no—
2058C4C2×#1457920812yes—
2059C4C2×#1457920812yes—
2060C2—22no—
2061C2—41no—
2062C2—41no—
2063C2—44no—
2064C2—3164no—
2065C2C22×#1457920811yescharacteristic
2066C2#585×D7912yes—
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC79×#3455C2
hypercenter#3455D79
hypocenterC79#62761
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #23777908C2semidirect
2. #23777905C2semidirect
3. #23777899C2semidirect
4. #23777893C2semidirect
5. #23777886C2semidirect
6. #23777878C2semidirect
7. #23777869C2semidirect
8. #23777861C2semidirect
9. #23777850C2semidirect
10. #23777833C2semidirect
11. #23777808C2semidirect
12. #23777794C2semidirect
13. #23777688C2semidirect
14. #23777680C2semidirect
15. #23777545C2semidirect
16. #23777013C2semidirect
17. #23776997C2semidirect
18. #23776993C2semidirect
19. #41×Dic158C2semidirect
20. #23776978C2semidirect
21. #23776829C2semidirect
22. #23776825C2semidirect
23. #23776790C2semidirect
24. #23776788C2semidirect
25. #23776692C2semidirect
26. C2×#19099116C2semidirect
27. C79×#3455C2semidirect
28. C79⋊#564C22semidirect
29. #19099317C22semidirect
31. #19099316C22semidirect
34. #19099315C22semidirect
35. #19099315C22semidirect
36. #19099314C22semidirect
37. #19099314C22semidirect
40. #19099310C22semidirect
44. #19099299C22semidirect
45. #19099298C22semidirect
46. #19099296C22semidirect
47. #19099296C22semidirect
48. #19099295C22semidirect
49. #19099295C22semidirect
50. Q8×Dic158C22semidirect
51. #19099293C22semidirect
52. #19099292C22semidirect
53. #19099291C22semidirect
54. #19099290C22semidirect
55. #19099290C22semidirect
56. #19099290C22semidirect
57. #19099289C22semidirect
58. #19099289C22semidirect
59. #19099288C22semidirect
60. #19099288C22semidirect
61. #19099287C22semidirect
62. #19099285C22semidirect
63. #19099285C22semidirect
64. #19099283C22semidirect
66. #19099282C22semidirect
67. #19099282C22semidirect
69. #19099280C22semidirect
70. #19099274C22semidirect
73. #19099272C22semidirect
74. #19099272C22semidirect
77. #19099270C22semidirect
78. #19099269C22semidirect
79. #19099269C22semidirect
88. #19099255C22semidirect
89. #19099251C22semidirect
91. #19099250C22semidirect
93. #19099249C22semidirect
94. #19099234C22semidirect
95. #19099233C22semidirect
97. D4×Dic158C22semidirect
98. #19099228C22semidirect
100. #19099226C22semidirect
107. #19099211C22semidirect
108. #19099193C22semidirect
109. #19099192C22semidirect
116. #19099181C22semidirect
121. #19099179C22semidirect
124. #19099176C22semidirect
129. #19099173C22semidirect
130. #19099172C22semidirect
131. #19099172C22semidirect
134. #19099170C22semidirect
135. #19099170C22semidirect
140. #19099162C22semidirect
146. #19099157C22semidirect
148. #19099156C22semidirect
150. #19099154C22semidirect
156. #19099136C22semidirect
158. #19099135C22semidirect
161. #19099120C22semidirect
162. #19099117C22semidirect
163. #19099117C22semidirect
164. #19099117C22semidirect
177. #19099116C22semidirect
178. #19099116C22semidirect
189. #19099097C22semidirect
192. #19099095C22semidirect
199. #19099093C22semidirect
200. #19099093C22semidirect
203. #19099091C22semidirect
204. #19099091C22semidirect
216. C4×#11929624C22semidirect
221. C4×#11929623C22semidirect
224. C2×C4×Dic158C22semidirect
225. C4×Q8×D79C22semidirect
1058. #3455D79semidirect
1061. C79#62761semidirect

Maximal subgroups

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

subgroupindex
#237779082
#237779052
#237778992
#237778932
#237778862
#237778782
#237778692
#237778612
#237778502
#237778332
#237778082
#237777942
#237776882
#237776802
#237775452
#237770132
#237769972
#237769932
#41×Dic1582
#237769782
#237768292
#237768252
#237767902
#237767882
#237766922
C2×#190991162
C79×#34552
#6276179