Finite Group Databasebeta

← #35197254

Subgroups — #35197254

Order 20224.

6616 conjugacy classes of subgroups.

The subgroup lattice has 2126 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#23777904C214yesmaximal, complemented
4#23777821C214yesmaximal, complemented
5#23777818C212yesmaximal, complemented
6#23777668C212yesmaximal, complemented
7#23777667C214yesmaximal, complemented
8#23777660C211yesmaximal, characteristic, complemented
9#23777654C214yesmaximal, complemented
10#23777508C214yesmaximal, complemented
11#23777506C212yesmaximal, complemented
12#23777503C214yesmaximal, complemented
13#23777498C212yesmaximal, complemented
14#23777469C212yesmaximal, complemented
15#23777463C212yesmaximal, complemented
16#23777459C214yesmaximal, complemented
17#23777458C214yesmaximal, complemented
18#23777310C212yesmaximal, complemented
19#23777309C212yesmaximal, complemented
20#23777302C212yesmaximal, complemented
21#23777282C211yesmaximal, characteristic, complemented
22#23777278C212yesmaximal, complemented
23#23777272C211yesmaximal, characteristic, complemented
24#23777270C212yesmaximal, complemented
25#23776692C211yesmaximal, characteristic, complemented
26#23776692C212yesmaximal, complemented
27C79×#3539C211yesmaximal, characteristic, complemented
28#19099317C2214yescomplemented
29#19099316C2214yescomplemented
30#19099314C2214yescomplemented
31#19099306C2214yes—
32#19099302C2214yescomplemented
33#19099302C2214yescomplemented
34#19099301C2214yescomplemented
35#19099299C2212yescomplemented
36#19099299C2214yescomplemented
37#19099298C2212yescomplemented
38#19099297C2214yescomplemented
39#19099297C2214yescomplemented
40#19099296C2214yescomplemented
41#19099296C2214yescomplemented
42#19099290C2214yescomplemented
43#19099290C2214yescomplemented
44#19099290C2212yescomplemented
45#19099289C2212yescomplemented
46#19099287C2212yescomplemented
47#19099284C2212yes—
48#19099284C2214yescomplemented
49#19099283C2212yescomplemented
50#19099281C2212yes—
51#19099280C2214yes—
52#19099280C2214yes—
53#19099280C2214yescomplemented
54#19099277C2212yescomplemented
55#19099277C2214yescomplemented
56#19099277C2214yescomplemented
57#19099277C2214yescomplemented
58#19099277C2214yescomplemented
59#19099276C2212yescomplemented
60#19099276C2214yescomplemented
61#19099272C2212yescomplemented
62#19099271C2214yescomplemented
63#19099269C2212yescomplemented
64#19099268C2214yescomplemented
65#19099265C2212yescomplemented
66#19099265C2214yescomplemented
67#19099264C2214yescomplemented
68#19099261C2212yescomplemented
69#19099260C2214yescomplemented
70#19099259C2212yescomplemented
71#19099258C2214yescomplemented
72#19099258C2214yescomplemented
73#19099258C2214yescomplemented
74#19099256C2214yescomplemented
75#19099256C2214yescomplemented
76#19099256C2214yescomplemented
77#19099255C2212yescomplemented
78#19099253C2214yescomplemented
79#19099253C2212yescomplemented
80#19099251C2214yescomplemented
81#19099250C2214yescomplemented
82#19099250C2214yescomplemented
83#19099249C2214yescomplemented
84#19099249C2214yescomplemented
85#19099248C2212yescomplemented
86#19099248C2214yescomplemented
87#19099246C2214yescomplemented
88#19099245C2214yescomplemented
89#19099245C2214yescomplemented
90#19099242C2214yes—
91#19099242C2214yescomplemented
92#19099240C2214yescomplemented
93#19099236C2214yes—
94#19099236C2214yes—
95#19099236C2214yescomplemented
96#19099234C2212yes—
97#19099233C2214yes—
98#19099231C2214yes—
99#19099223C2212yescomplemented
100#19099223C2212yescomplemented
101#19099222C2214yescomplemented
102#19099220C2212yescomplemented
103#19099220C2212yescomplemented
104#19099219C2214yescomplemented
105#19099219C2214yescomplemented
106#19099219C2214yescomplemented
107#19099218C2212yescomplemented
108#19099213C2214yescomplemented
109#19099211C2214yescomplemented
110#19099210C2212yes—
111#19099210C2212yescomplemented
112#19099205C2214yescomplemented
113#19099202C2214yes—
114#19099202C2214yes—
115#19099202C2214yescomplemented
116#19099201C2212yes—
117#19099201C2212yescomplemented
118#19099186C2212yescomplemented
119#19099186C2212yescomplemented
120#19099181C2214yescomplemented
121#19099181C2214yescomplemented
122#19099181C2214yescomplemented
123#19099181C2214yescomplemented
124#19099180C2212yescomplemented
125#19099180C2212yescomplemented
126#19099180C2214yescomplemented
127#19099180C2214yescomplemented
128#19099179C2214yescomplemented
129#19099179C2214yescomplemented
130#19099179C2214yescomplemented
131#19099178C2214yescomplemented
132#19099176C2211yescharacteristic, complemented
133#19099175C2211yescharacteristic, complemented
134#19099174C2211yescharacteristic, complemented
135#19099172C2214yescomplemented
136#19099170C2214yescomplemented
137#19099169C2211yescharacteristic, complemented
138#19099168C2211yescharacteristic
139#19099167C2214yescomplemented
140#19099167C2211yescharacteristic, complemented
141#19099166C2214yescomplemented
142#19099165C2214yescomplemented
143#19099163C2214yes—
144#19099163C2214yescomplemented
145#19099163C2214yescomplemented
146#19099163C2214yescomplemented
147#19099159C2214yescomplemented
148#19099158C2214yescomplemented
149#19099157C2214yescomplemented
150#19099156C2214yescomplemented
151#19099154C2214yescomplemented
152#19099150C2214yes—
153#19099150C2214yes—
154#19099149C2214yes—
155#19099146C2214yes—
156#19099145C2214yes—
157#19099145C2214yes—
158#19099142C2214yescomplemented
159#19099141C2212yescomplemented
160#19099140C2214yescomplemented
161#19099136C2212yes—
162#19099135C2214yes—
163#19099129C2212yes—
164#19099126C2214yes—
165#19099119C2211yescharacteristic, complemented
166#19099119C2211yescharacteristic, complemented
167#19099117C2212yescomplemented
168#19099116C2212yescomplemented
169#19099116C2211yescharacteristic, complemented
170#19099115C2212yescomplemented
171#19099115C2212yescomplemented
172#19099115C2212yescomplemented
173#19099115C2212yescomplemented
174#19099110C2212yescomplemented
175#19099109C2211yescharacteristic
176#19099109C2212yes—
177#19099109C2212yescomplemented
178#19099108C2212yes—
179#19099108C2212yes—
180#19099108C2212yes—
181#19099108C2212yescomplemented
182C2×#14579160C2212yescomplemented
183C4⋊Q8×D79C2211yescharacteristic, complemented
184#127×D79C2211yescharacteristic, complemented
185#19099099C2212yes—
186#19099099C2212yescomplemented
187#19099099C2212yescomplemented
188#19099098C2214yescomplemented
189#19099095C2214yescomplemented
190#19099094C2212yescomplemented
191#19099094C2214yescomplemented
192#19099094C2212yescomplemented
193#19099094C2212yescomplemented
194#19099093C2212yes—
195#19099093C2214yescomplemented
196#19099093C2214yescomplemented
197#19099093C2214yescomplemented
198#19099093C2212yescomplemented
199#19099091C2214yescomplemented
200#19099090C2212yes—
201#19099090C2214yescomplemented
202#19099090C2214yescomplemented
203#19099090C2212yescomplemented
204#19099090C2214yescomplemented
205C2×#14579156C2214yescomplemented
206#126×D79C2214yescomplemented
207#19099074C2211yescharacteristic
208#19099074C2212yescomplemented
209#19099069C2212yes—
210#19099069C2212yescomplemented
211#19099069C2214yescomplemented
212#19099069C2214yescomplemented
213#19099046C2212yescomplemented
214#19099044C2212yescomplemented
215#19099044C2214yescomplemented
216#19099042C2214yescomplemented
217#19099040C2214yescomplemented
218#19099039C2212yescomplemented
219#19099035C2214yescomplemented
220#19099035C2212yescomplemented
221#41×Dic79C2211yescharacteristic, complemented
222#41×Dic79C2212yescomplemented
223#19099031C2211yescharacteristic
224#19099031C2212yescomplemented
225C4×#11929623C2212yes—
226C4×#11929623C2212yescomplemented
227C4×#11929623C2214yescomplemented
228C4×#11929623C2214yescomplemented
229C22×C4×Dic79C2211yescharacteristic, complemented
230#560×C79C2214yescomplemented
231#553×C79C2212yescomplemented
232#553×C79C2214yescomplemented
233#552×C79C2212yescomplemented
234#550×C79C2212yes—
235#547×C79C2212yescomplemented
236#541×C79C2211yescharacteristic, complemented
237#540×C79C2211yescharacteristic
238#540×C79C2214yescomplemented
239#539×C79C2214yescomplemented
240#537×C79C2212yescomplemented
241#525×C79C2211yescharacteristic, complemented
242#525×C79C2212yescomplemented
243C2×#11929624C2311yescharacteristic
244C2×#11929624C2312yes—
245C2×#11929624C2314yes—
246C2×#11929624C2312yes—
247C2×#11929623C2312yes—
248C2×#11929623C2314yes—
249C2×#11929623C2314yes—
250C2×#11929623C2314yes—
251C2×#11929623C2312yes—
252C22×Dic158C2314yes—
253C2×Q8×D79C2312yes—
254C2×D4×D79C2312yes—
255C2×D4×D79C2314yes—
256C23×Dic79C2312yes—
257#14579161C2311yescharacteristic
258#14579160C2314yes—
259#14579160C2314yes—
260#14579160C2314yes—
261#14579160C2314yes—
262#14579160C2314yes—
263#14579160C2312yes—
264#14579160C2312yes—
265#14579160C2314yes—
266#14579160C2312yes—
267#14579160C2312yes—
268#14579160C2312yes—
269#14579159C2311yescharacteristic
270#14579159C2312yes—
271#14579158C2311yescharacteristic
272#14579157C2314yes—
273#14579157C2314yes—
274#14579157C2314yes—
275#14579157C2311yescharacteristic
276#14579157C2312yes—
277#14579156C2314yes—
278#14579156C2314yes—
279#14579156C2314yes—
280#14579156C2314yes—
281#14579156C2314yes—
282#14579156C2314yes—
283#14579156C2314yes—
284#14579156C2314yes—
285#14579156C2314yes—
286#14579156C2314yes—
287#14579156C2314yes—
288#14579156C2314yes—
289#14579156C2312yes—
290#14579156C2314yes—
291#14579156C2312yes—
292#14579155C2314yes—
293#14579154C2314yes—
294#14579154C2314yes—
295#14579154C2314yes—
296#14579154C2314yes—
297#14579154C2314yes—
298#14579154C2314yes—
299#14579154C2314yes—
300#14579154C2314yes—
301#14579154C2314yes—
302#14579154C2314yes—
303#14579154C2314yes—
304#14579154C2312yes—
305#14579154C2312yes—
306#14579153C2314yes—
307#14579153C2311yescharacteristic
308#14579153C2311yescharacteristic
309#14579152C2314yes—
310#14579152C2314yes—
311#14579152C2314yes—
312#14579152C2312yes—
313#14579152C2312yes—
314#14579152C2312yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579151C2314yes—
321#14579151C2314yes—
322#14579151C2314yes—
323#14579151C2312yes—
324#14579151C2314yes—
325#14579151C2314yes—
326#14579151C2312yes—
327#14579150C2312yes—
328#14579150C2312yes—
329#14579150C2311yescharacteristic
330#14579149C2314yes—
331#14579149C2314yes—
332#14579148C2314yes—
333#14579148C2314yes—
334#14579148C2314yes—
335#14579148C2314yes—
336#14579148C2312yes—
337#14579148C2314yes—
338#14579148C2314yes—
339#14579148C2312yes—
340#14579148C2311yescharacteristic
341#14579147C2314yes—
342#14579147C2314yes—
343#14579147C2314yes—
344#14579147C2314yes—
345#14579147C2314yes—
346#14579147C2314yes—
347#14579147C2314yes—
348#14579147C2314yes—
349#14579147C2314yes—
350#14579147C2314yes—
351#14579147C2314yes—
352#14579147C2314yes—
353#14579147C2314yes—
354#14579147C2314yes—
355#14579147C2312yes—
356#14579147C2312yes—
357#14579146C2314yes—
358#14579146C2314yes—
359#14579146C2314yes—
360#14579146C2314yes—
361#14579146C2314yes—
362#14579146C2314yes—
363#14579145C2314yes—
364#14579145C2314yes—
365#14579145C2314yes—
366#14579145C2314yes—
367#14579145C2312yes—
368#14579145C2312yes—
369#14579144C2314yes—
370#14579144C2314yes—
371#14579144C2314yes—
372#14579144C2314yes—
373#14579144C2311yescharacteristic
374#14579144C2311yescharacteristic
375#14579143C2314yes—
376#14579143C2314yes—
377#14579143C2314yes—
378#14579143C2314yes—
379#14579143C2314yes—
380#14579143C2314yes—
381#14579143C2314yes—
382#14579143C2314yes—
383#14579142C2314yes—
384#14579142C2314yes—
385#14579142C2314yes—
386#14579142C2314yes—
387#14579142C2314yes—
388#14579142C2314yes—
389#14579142C2314yes—
390#14579142C2314yes—
391#14579142C2312yes—
392#14579142C2312yes—
393#14579141C2312yes—
394#14579141C2314yes—
395#14579141C2314yes—
396#14579141C2314yes—
397#14579141C2314yes—
398#14579140C2312yes—
399#14579140C2312yes—
400#14579140C2314yes—
401#14579140C2314yes—
402#14579140C2314yes—
403#14579140C2312yes—
404#14579140C2314yes—
405#14579140C2312yes—
406#14579139C2314yes—
407#14579139C2314yes—
408#14579139C2314yes—
409#14579139C2314yes—
410#14579139C2314yes—
411#14579139C2314yes—
412#14579139C2314yes—
413#14579138C2314yes—
414#14579138C2314yes—
415#14579138C2314yes—
416#14579138C2314yes—
417#14579138C2314yes—
418#14579138C2312yes—
419#14579138C2312yes—
420#14579138C2312yes—
421#14579138C2312yes—
422#14579138C2314yes—
423#14579138C2314yes—
424#14579138C2314yes—
425#14579138C2314yes—
426#14579137C2312yes—
427#14579137C2314yes—
428#14579136C2314yes—
429#14579136C2312yes—
430#14579135C2314yes—
431#14579135C2312yes—
432#14579135C2312yes—
433#14579135C2312yes—
434#14579135C2312yes—
435#14579134C2314yes—
436#14579134C2314yes—
437#14579134C2314yes—
438#14579134C2314yes—
439#14579134C2314yes—
440#14579134C2314yes—
441#14579134C2314yes—
442#14579133C2314yes—
443#14579133C2314yes—
444#14579133C2314yes—
445#14579133C2314yes—
446#14579133C2314yes—
447#14579133C2314yes—
448#14579133C2314yes—
449#14579133C2314yes—
450#14579133C2312yes—
451#14579133C2312yes—
452#14579133C2314yes—
453#14579133C2312yes—
454#14579133C2314yes—
455#14579133C2314yes—
456#14579133C2314yes—
457#14579133C2312yes—
458#14579133C2314yes—
459#14579133C2314yes—
460#14579133C2314yes—
461#14579132C2314yes—
462#14579132C2314yes—
463#14579132C2314yes—
464#14579132C2314yes—
465#14579132C2314yes—
466#14579132C2314yes—
467#14579132C2312yes—
468#14579131C2314yes—
469#14579130C2311yescharacteristic
470#14579130C2314yes—
471#14579130C2311yescharacteristic
472#14579129C2314yes—
473#14579129C2314yes—
474#14579129C2314yes—
475#14579129C2314yes—
476#14579129C2314yes—
477Q8×Dic79C2312yes—
478Q8×Dic79C2312yes—
479Q8×Dic79C2312yes—
480Q8×Dic79C2312yes—
481C4×Dic158C2314yes—
482C4×Dic158C2314yes—
483C4×Dic158C2312yes—
484C4×Dic158C2314yes—
485C4×Dic158C2314yes—
486C4×Dic158C2314yes—
487C4×Dic158C2314yes—
488C4×Dic158C2312yes—
489C4×Dic158C2312yes—
490#14579126C2314yes—
491#14579126C2314yes—
492#14579126C2312yes—
493#14579126C2312yes—
494#14579126C2314yes—
495#14579126C2314yes—
496#14579126C2314yes—
497#14579126C2314yes—
498#14579126C2314yes—
499#14579126C2314yes—
500#14579126C2312yes—
501#14579126C2312yes—
502#14579126C2312yes—
503#14579126C2312yes—
504C4×D316C2314yes—
505C4×D316C2312yes—
506D4×Dic79C2314yes—
507D4×Dic79C2314yes—
508D4×Dic79C2314yes—
509D4×Dic79C2314yes—
510D4×Dic79C2314yes—
511D4×Dic79C2312yes—
512D4×Dic79C2314yes—
513D4×Dic79C2312yes—
514D4×Dic79C2312yes—
515D4×Dic79C2312yes—
516D4×Dic79C2312yes—
517D4×Dic79C2312yes—
518D4×Dic79C2312yes—
519D4×Dic79C2312yes—
520D4×Dic79C2314yes—
521D4×Dic79C2314yes—
522#14579123C2314yes—
523#14579123C2314yes—
524#14579123C2314yes—
525#14579123C2312yes—
526#14579123C2312yes—
527#14579123C2312yes—
528#14579123C2312yes—
529C4×C22⋊D79C2314yes—
530C4×C22⋊D79C2314yes—
531C4×C22⋊D79C2314yes—
532C4×C22⋊D79C2314yes—
533C4×C22⋊D79C2314yes—
534C4×C22⋊D79C2314yes—
535C4×C22⋊D79C2314yes—
536C4×C22⋊D79C2314yes—
537C4×C22⋊D79C2314yes—
538C4×C22⋊D79C2314yes—
539C4×C22⋊D79C2314yes—
540C4×C22⋊D79C2312yes—
541C4×C22⋊D79C2312yes—
542C4×C22⋊D79C2314yes—
543C4×C22⋊D79C2312yes—
544C4×C22⋊D79C2312yes—
545C4×C22⋊D79C2314yes—
546(C22⋊D79)⋊C4C2314yes—
547(C22⋊D79)⋊C4C2314yes—
548(C22⋊D79)⋊C4C2314yes—
549(C22⋊D79)⋊C4C2314yes—
550(C22⋊D79)⋊C4C2314yes—
551(C22⋊D79)⋊C4C2314yes—
552(C22⋊D79)⋊C4C2312yes—
553(C22⋊D79)⋊C4C2312yes—
554(C22⋊D79)⋊C4C2312yes—
555(C22⋊D79)⋊C4C2314yes—
556(C22⋊D79)⋊C4C2312yes—
557(C22⋊D79)⋊C4C2312yes—
558(C22⋊D79)⋊C4C2312yes—
559(C22⋊D79)⋊C4C2314yes—
560(C22⋊D79)⋊C4C2314yes—
561#14579120C2314yes—
562#14579120C2311yescharacteristic
563#14579120C2312yes—
564#14579120C2314yes—
565#14579120C2314yes—
566#14579120C2314yes—
567#14579120C2312yes—
568#14579119C2312yes—
569#14579119C2314yes—
570#14579119C2312yes—
571#14579119C2312yes—
572#14579119C2314yes—
573#14579119C2314yes—
574#14579119C2314yes—
575#14579119C2314yes—
576#14579119C2312yes—
577#14579118C2311yescharacteristic
578#14579118C2314yes—
579#14579118C2311yescharacteristic
580#14579118C2314yes—
581#14579118C2314yes—
582#14579118C2314yes—
583#14579117C2312yes—
584#14579117C2312yes—
585#14579117C2314yes—
586#14579117C2314yes—
587#14579117C2312yes—
588#14579117C2312yes—
589#14579117C2314yes—
590#14579117C2314yes—
591#14579117C2314yes—
592#14579117C2314yes—
593#14579117C2314yes—
594#14579117C2314yes—
595C2×C4⋊Dic79C2312yes—
596C2×C4⋊Dic79C2314yes—
597C2×Dic79⋊C4C2314yes—
598C2×Dic79⋊C4C2314yes—
599C4⋊C4×D79C2314yes—
600C4⋊C4×D79C2314yes—
601C4⋊C4×D79C2314yes—
602C4⋊C4×D79C2314yes—
603C2×(C2×D79)⋊C4C2314yes—
604C2×(C2×D79)⋊C4C2314yes—
605C2×(C2×D79)⋊C4C2314yes—
606C22⋊C4×D79C2314yes—
607C22⋊C4×D79C2314yes—
608C22⋊C4×D79C2314yes—
609C2×C4×Dic79C2312yes—
610C2×C4×Dic79C2312yes—
611C2×C4×Dic79C2312yes—
612C2×C4×Dic79C2311yescharacteristic
613C2×C4×Dic79C2312yes—
614C2×C4×Dic79C2312yes—
615C2×C4×Dic79C2311yescharacteristic
616C2×C4×Dic79C2312yes—
617C2×C4×Dic79C2314yes—
618C42×D79C2311yescharacteristic
619C42×D79C2311yescharacteristic
620C42×D79C2314yes—
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×C79C2314yes—
651#121×C79C2314yes—
652#121×C79C2314yes—
653#121×C79C2312yes—
654#121×C79C2314yes—
655#121×C79C2312yes—
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×C79C2314yes—
665C4×D4×C79C2312yes—
666C4×D4×C79C2314yes—
667C4×D4×C79C2314yes—
668C4×D4×C79C2312yes—
669#117×C79C2311yescharacteristic
670#117×C79C2312yes—
671#117×C79C2314yes—
672C2×C4⋊C4×C79C2312yes—
673C2×C4⋊C4×C79C2314yes—
674C23×D79C2414yes—
675#11929624—48no—
676#11929624—44no—
677#11929624—44no—
678#11929624—42no—
679#11929623—48no—
680#11929623—48no—
681#11929623—48no—
682#11929623—44no—
683#11929623—44no—
684C2×Dic158—48no—
685C2×Dic158C2412yes—
686C2×Dic158C2414yes—
687C2×Dic158C2414yes—
688C2×Dic158C2414yes—
689C2×Dic158C2414yes—
690C2×Dic158C2414yes—
691C2×Dic158C2412yes—
692C2×Dic158C2412yes—
693C2×Dic158C2411yescharacteristic
694Q8×D79—44no—
695C2×D316C2412yes—
696C2×D316C2411yescharacteristic
697C2×D316C2414yes—
698C2×D316C2414yes—
699C2×C22⋊D79C2414yes—
700C2×C22⋊D79C2414yes—
701C2×C22⋊D79C2412yes—
702C2×C22⋊D79C2412yes—
703C2×C22⋊D79C2414yes—
704C2×C22⋊D79C2414yes—
705C2×C22⋊D79C2414yes—
706C2×C22⋊D79C2412yes—
707C2×C22⋊D79C2412yes—
708C2×C22⋊D79C2411yescharacteristic
709C2×C22⋊D79C2414yes—
710C2×C22⋊D79C2411yescharacteristic
711C2×C22⋊D79C2414yes—
712C2×C22⋊D79C2414yes—
713C2×C22⋊D79C2414yes—
714D4×D79—48no—
715D4×D79—44no—
716C22×Dic79—44no—
717C22×Dic79C2412yes—
718C22×Dic79C2412yes—
719C22×Dic79C2412yes—
720C22×Dic79C2412yes—
721C22×Dic79C2412yes—
722C22×Dic79C2414yes—
723C22×Dic79C2414yes—
724C22×Dic79C2414yes—
725C22×Dic79C2414yes—
726C22×Dic79C2412yes—
727C22×Dic79C2412yes—
728C22×Dic79C2412yes—
729C2×C4×D79C2411yescharacteristic
730C2×C4×D79C2412yes—
731C2×C4×D79C2412yes—
732C2×C4×D79C2411yescharacteristic
733C2×C4×D79C2414yes—
734C2×C4×D79C2414yes—
735C2×C4×D79C2414yes—
736C2×C4×D79C2414yes—
737C2×C4×D79C2414yes—
738C2×C4×D79C2414yes—
739C2×C4×D79C2414yes—
740C4⋊Dic79C2412yes—
741C4⋊Dic79C2414yes—
742C4⋊Dic79C2414yes—
743C4⋊Dic79C2414yes—
744C4⋊Dic79C2412yes—
745C4⋊Dic79C2414yes—
746C4⋊Dic79C2412yes—
747C4⋊Dic79C2414yes—
748C4⋊Dic79C2412yes—
749C4⋊Dic79C2412yes—
750C4⋊Dic79C2412yes—
751C4⋊Dic79C2414yes—
752C4⋊Dic79C2414yes—
753C4⋊Dic79C2412yes—
754C4⋊Dic79C2414yes—
755Dic79⋊C4C2412yes—
756Dic79⋊C4C2414yes—
757Dic79⋊C4C2414yes—
758Dic79⋊C4C2414yes—
759Dic79⋊C4C2414yes—
760Dic79⋊C4C2414yes—
761Dic79⋊C4C2414yes—
762Dic79⋊C4C2414yes—
763Dic79⋊C4C2414yes—
764Dic79⋊C4C2414yes—
765Dic79⋊C4C2414yes—
766Dic79⋊C4C2414yes—
767Dic79⋊C4C2414yes—
768Dic79⋊C4C2412yes—
769Dic79⋊C4C2412yes—
770Dic79⋊C4C2412yes—
771Dic79⋊C4C2414yes—
772Dic79⋊C4C2412yes—
773Dic79⋊C4C2412yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2412yes—
776Dic79⋊C4C2412yes—
777Dic79⋊C4C2414yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2412yes—
780Dic79⋊C4C2412yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2414yes—
783C22⋊Dic79C2414yes—
784C22⋊Dic79C2414yes—
785C22⋊Dic79C2414yes—
786C22⋊Dic79C2412yes—
787C22⋊Dic79C2414yes—
788C22⋊Dic79C2412yes—
789C22⋊Dic79C2414yes—
790C22⋊Dic79C2414yes—
791C22⋊Dic79C2412yes—
792C22⋊Dic79C2414yes—
793C22⋊Dic79C2414yes—
794C22⋊Dic79C2412yes—
795C22⋊Dic79C2412yes—
796C22⋊Dic79C2412yes—
797C22⋊Dic79C2414yes—
798C22⋊Dic79C2414yes—
799C22⋊Dic79C2414yes—
800C22⋊Dic79C2414yes—
801C22⋊Dic79C2411yescharacteristic
802C22⋊Dic79C2411yescharacteristic
803(C2×D79)⋊C4C2412yes—
804(C2×D79)⋊C4C2412yes—
805(C2×D79)⋊C4C2412yes—
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)⋊C4C2412yes—
816(C2×D79)⋊C4C2414yes—
817(C2×D79)⋊C4C2414yes—
818(C2×D79)⋊C4C2414yes—
819(C2×D79)⋊C4C2412yes—
820(C2×D79)⋊C4C2412yes—
821(C2×D79)⋊C4C2414yes—
822(C2×D79)⋊C4C2414yes—
823(C2×D79)⋊C4C2414yes—
824(C2×D79)⋊C4C2414yes—
825C4×Dic79C2412yes—
826C4×Dic79C2411yescharacteristic
827C4×Dic79C2414yes—
828C4×Dic79C2414yes—
829C4×Dic79C2412yes—
830C4×Dic79C2412yes—
831C4×Dic79C2411yescharacteristic
832C4×Dic79C2412yes—
833C4×Dic79C2412yes—
834C4×Dic79C2411yescharacteristic
835C4×Dic79C2412yes—
836C4×Dic79C2412yes—
837C4×Dic79C2412yes—
838C4×Dic79C2411yescharacteristic
839C4×Dic79C2414yes—
840C4×Dic79C2414yes—
841C4×Dic79C2414yes—
842C4×Dic79C2412yes—
843C4×Dic79C2412yes—
844C4×Dic79C2412yes—
845C4×Dic79C2414yes—
846C4×Dic79C2414yes—
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×C79C2412yes—
897C22⋊C4×C79C2414yes—
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×C79C2514yes—
910C23×C79C2512yes—
911C23×C79C2511yescharacteristic
912C23×C79C2512yes—
913C22×D79—44no—
914C22×D79—44no—
915C22×D79—44no—
916C22×D79C2511yescharacteristic
917C22×D79C2514yes—
918C22×D79C2511yescharacteristic
919Q8×C79—24no—
920Q8×C79—41no—
921D4×C79—24no—
922D4×C79—44no—
923D4×C79—44no—
924D4×C79—42no—
925D4×C79—44no—
926D4×C79—44no—
927D4×C79—42no—
928D4×C79—41no—
929D4×C79—42no—
930D4×C79—44no—
931D4×C79—44no—
932C2×C4×C79—24no—
933C2×C4×C79—22no—
934C2×C4×C79—24no—
935C2×C4×C79—44no—
936C2×C4×C79—44no—
937C2×C4×C79—41no—
938C2×C4×C79—42no—
939C2×C4×C79—44no—
940C2×C4×C79—44no—
941C2×C4×C79C2512yes—
942C2×C4×C79C2511yescharacteristic
943C2×C4×C79C2514yes—
944C2×C4×C79C2514yes—
945C2×C4×C79C2512yes—
946C2×C4×C79C2512yes—
947C2×C4×C79C2514yes—
948C2×C4×C79C2512yes—
949C2×C4×C79C2511yescharacteristic
950C22⋊D79—28no—
951C22⋊D79—28no—
952C22⋊D79—44no—
953C22⋊D79—44no—
954C22⋊D79—44no—
955C22⋊D79—44no—
956C22⋊D79—42no—
957C22⋊D79—42no—
958C22⋊D79—42no—
959C22⋊D79—42no—
960C22⋊D79—41no—
961C22⋊D79—44no—
962C22⋊D79—44no—
963C22⋊D79—44no—
964C22⋊D79—41no—
965C2×Dic79—24no—
966C2×Dic79—24no—
967C2×Dic79—24no—
968C2×Dic79—24no—
969C2×Dic79—24no—
970C2×Dic79—42no—
971C2×Dic79—42no—
972C2×Dic79—42no—
973C2×Dic79—44no—
974C2×Dic79—44no—
975C2×Dic79—44no—
976C2×Dic79—44no—
977C2×Dic79C2512yes—
978C2×Dic79C2512yes—
979C2×Dic79C2512yes—
980C2×Dic79C2511yescharacteristic
981C2×Dic79C2511yescharacteristic
982C2×Dic79C2514yes—
983C2×Dic79C2512yes—
984C2×Dic79C2514yes—
985C2×Dic79C2514yes—
986C2×Dic79C2512yes—
987C2×Dic79C2512yes—
988D316—24no—
989D316—44no—
990D316—41no—
991D316—44no—
992C4×D79—22no—
993C4×D79—22no—
994C4×D79—24no—
995C4×D79—24no—
996C4×D79—44no—
997C4×D79—44no—
998C4×D79—44no—
999C4×D79—44no—
1000C4×D79—44no—
1001C4×D79—44no—
1002C4×D79—44no—
1003Dic158—24no—
1004Dic158—28no—
1005Dic158—28no—
1006Dic158—44no—
1007Dic158—44no—
1008Dic158—44no—
1009Dic158—42no—
1010Dic158—42no—
1011Dic158—41no—
1012C22×C79—24no—
1013C22×C79—24no—
1014C22×C79—22no—
1015C22×C79—21no—
1016C22×C79—22no—
1017C22×C79—22no—
1018C22×C79—22no—
1019C22×C79—22no—
1020C22×C79—22no—
1021C22×C79—24no—
1022C22×C79—22no—
1023C22×C79—44no—
1024C22×C79C2611yescharacteristic
1025C2×D79—24no—
1026C2×D79—24no—
1027C2×D79—22no—
1028C2×D79—24no—
1029C2×D79—22no—
1030C2×D79—21no—
1031C2×D79—21no—
1032C2×D79—164no—
1033C4×C79—22no—
1034C4×C79—21no—
1035C4×C79—22no—
1036C4×C79—24no—
1037C4×C79—24no—
1038C4×C79—22no—
1039C4×C79—24no—
1040C4×C79—22no—
1041C4×C79#58512yes—
1042Dic79—21no—
1043Dic79—24no—
1044Dic79—24no—
1045Dic79—24no—
1046Dic79—22no—
1047Dic79—21no—
1048Dic79—22no—
1049Dic79—22no—
1050Dic79—22no—
1051Dic79—22no—
1052Dic79#58514yes—
1053#62839—791nomaximal, Sylow
1054C2×C79—44no—
1055C2×C79—42no—
1056C2×C79—41no—
1057C2×C79—42no—
1058C2×C79C2×#58512yes—
1059C2×C79C2×#58511yescharacteristic
1060D79—41no—
1061D79—44no—
1062D79—41no—
1063#3557—791no—
1064#3557—791no—
1065#3557—794no—
1066#3551—794no—
1067#3551—792no—
1068#3540—794no—
1069#3540—792no—
1070#3539—794no—
1071#3539—791no—
1072#3539D7911yescharacteristic, complemented
1073#3524—794no—
1074#3524—792no—
1075#3524—792no—
1076#3524—794no—
1077#3521—794no—
1078#3521—792no—
1079#3521—792no—
1080#3521—794no—
1081#3511—792no—
1082#3511—792no—
1083#3511—792no—
1084#3509—792no—
1085#3509—791no—
1086#3508—792no—
1087#3508—791no—
1088#3444—791no—
1089#3444—792no—
1090C79#6283911yescharacteristic, complemented, Sylow
1091#563—794no—
1092#563—794no—
1093#563—794no—
1094H(3,𝔽4)—794no—
1095#560—794no—
1096#560—794no—
1097#560—794no—
1098#560C2×D7914yescomplemented
1099#559—792no—
1100#559—794no—
1101#559—794no—
1102#559—794no—
1103#559—792no—
1104#559—794no—
1105#559—794no—
1106#557—794no—
1107#557—792no—
1108#557—794no—
1109#557—792no—
1110#556—792no—
1111#556—794no—
1112#556—794no—
1113#556—794no—
1114#556—792no—
1115#556—794no—
1116#556—792no—
1117#556—792no—
1118#555—792no—
1119#555—794no—
1120#555—794no—
1121#555—794no—
1122#555—794no—
1123#555—792no—
1124#555—794no—
1125#554—792no—
1126#554—794no—
1127#554—792no—
1128#554—794no—
1129#553—794no—
1130#553—794no—
1131#553—794no—
1132#553—794no—
1133#553—794no—
1134#553—794no—
1135#553—794no—
1136#553—794no—
1137#553—792no—
1138#553—794no—
1139#553—792no—
1140#553—792no—
1141#553C2×D7912yescomplemented
1142#553C2×D7914yescomplemented
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—792no—
1152#552—794no—
1153#552—794no—
1154#552—792no—
1155#552—794no—
1156#552C2×D7912yescomplemented
1157#551—794no—
1158#551—794no—
1159#551—794no—
1160#551—794no—
1161#551—794no—
1162#551—794no—
1163#550—794no—
1164#550—794no—
1165#550—792no—
1166#550C2×D7912yes—
1167#548—792no—
1168#548—792no—
1169#548—792no—
1170#548—792no—
1171#548—794no—
1172#548—794no—
1173#548—794no—
1174#548—794no—
1175#547—794no—
1176#547—794no—
1177#547—792no—
1178#547C2×D7912yescomplemented
1179#546—792no—
1180#546—792no—
1181#546—794no—
1182#546—794no—
1183#546—794no—
1184#546—794no—
1185#546—792no—
1186#546—792no—
1187#542—794no—
1188#542—794no—
1189#542—794no—
1190#542—794no—
1191#542—794no—
1192#542—794no—
1193#542—794no—
1194#542—792no—
1195#542—792no—
1196#542—792no—
1197#542—792no—
1198#542—794no—
1199#542—794no—
1200#542—794no—
1201#541—791no—
1202#541—794no—
1203#541—794no—
1204#541—791no—
1205#541—791no—
1206#541C2×D7911yescharacteristic, complemented
1207#540—791no—
1208#540—794no—
1209#540—791no—
1210#540—794no—
1211#540—794no—
1212#540—794no—
1213#540—794no—
1214#540—794no—
1215#540—794no—
1216#540—791no—
1217#540C2×D7911yescharacteristic
1218#540C2×D7914yescomplemented
1219#539—794no—
1220#539—794no—
1221#539—794no—
1222#539—794no—
1223#539—794no—
1224#539C2×D7914yescomplemented
1225#538—794no—
1226#538—794no—
1227#538—794no—
1228#538—794no—
1229#538—794no—
1230#538—794no—
1231#537—792no—
1232#537—794no—
1233#537—794no—
1234#537C2×D7912yescomplemented
1235#536—794no—
1236#536—792no—
1237#535—794no—
1238#535—792no—
1239#533—791no—
1240#533—791no—
1241#533—792no—
1242#533—792no—
1243#533—792no—
1244#533—792no—
1245#533—792no—
1246#533—792no—
1247#533—791no—
1248#532—792no—
1249#532—791no—
1250#532—792no—
1251#532—792no—
1252#532—792no—
1253#532—792no—
1254#532—792no—
1255#532—792no—
1256C2×C4⋊Q8—791no—
1257C2×C4⋊Q8—792no—
1258C2×#127—791no—
1259#529—794no—
1260#529—792no—
1261#529—794no—
1262#529—792no—
1263#529—794no—
1264#529—794no—
1265#529—792no—
1266#529—792no—
1267#529—792no—
1268#529—792no—
1269#529—792no—
1270#529—792no—
1271#529—794no—
1272#529—792no—
1273#529—794no—
1274#529—792no—
1275#529—794no—
1276#529—794no—
1277#529—794no—
1278#529—794no—
1279C2×#126—794no—
1280C2×#126—794no—
1281#525—791no—
1282#525—792no—
1283#525—792no—
1284#525—792no—
1285#525—794no—
1286#525—794no—
1287#525C2×D7911yescharacteristic, complemented
1288#525C2×D7912yescomplemented
1289#520—792no—
1290#520—794no—
1291#520—792no—
1292#520—794no—
1293#519—792no—
1294#519—794no—
1295#518—794no—
1296#518—792no—
1297C4×#41—791no—
1298C4×#41—792no—
1299C4×#41—792no—
1300C4×#41—792no—
1301C4×#41—794no—
1302C4×#41—794no—
1303C4×#41—791no—
1304C4×#41—792no—
1305C22×C42—791no—
1306C2×#41—792no—
1307C2×#41—792no—
1308C2×#41—794no—
1309C2×#41—794no—
1310C2×#41—794no—
1311C2×#41—791no—
1312C2×#41—792no—
1313C2×#41—792no—
1314C2×#41—794no—
1315C2×#41C22×D7911yescharacteristic
1316C2×#41C22×D7912yes—
1317C2×#41C22×D7912yes—
1318C22×Q8—792no—
1319C22×Q8—794no—
1320C22×D4—792no—
1321C22×D4—794no—
1322C23×C4—792no—
1323C23×C4C22×D7911yescharacteristic
1324C4⋊Q8—792no—
1325C4⋊Q8—791no—
1326C4⋊Q8—792no—
1327C4⋊Q8—792no—
1328C4⋊Q8—794no—
1329C4⋊Q8—792no—
1330C4⋊Q8—792no—
1331C4⋊Q8—794no—
1332C4⋊Q8—794no—
1333C4⋊Q8—792no—
1334C4⋊Q8—794no—
1335C4⋊Q8—794no—
1336C4⋊Q8—794no—
1337C4⋊Q8—791no—
1338C4⋊Q8C22×D7911yescharacteristic
1339#127—792no—
1340#127—794no—
1341#127—791no—
1342#127—794no—
1343#127—794no—
1344#127—791no—
1345#127C22×D7911yescharacteristic
1346#127C22×D7914yes—
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—794no—
1356#126—794no—
1357#126—792no—
1358#126—794no—
1359#126—794no—
1360#126—794no—
1361#126—794no—
1362#126—794no—
1363#126—794no—
1364#126—794no—
1365#126—792no—
1366#126—792no—
1367#126—794no—
1368#126—794no—
1369#126—794no—
1370#126—794no—
1371#126—794no—
1372#126—794no—
1373#126—794no—
1374#126—794no—
1375#126—794no—
1376#126C22×D7914yes—
1377#126C22×D7914yes—
1378#126C22×D7914yes—
1379#125—792no—
1380#125—792no—
1381#125—792no—
1382#125—794no—
1383#125—794no—
1384#125—792no—
1385#125—792no—
1386#125—794no—
1387#125—794no—
1388#125—794no—
1389#125—794no—
1390#125—794no—
1391#125—794no—
1392#125—794no—
1393#125—794no—
1394#125—794no—
1395#125—794no—
1396#125—794no—
1397#125—791no—
1398#125—791no—
1399#125—794no—
1400#125C22×D7914yes—
1401#125C22×D7911yescharacteristic
1402#125C22×D7911yescharacteristic
1403#125C22×D7914yes—
1404#124—792no—
1405#124—791no—
1406#124—792no—
1407#124—792no—
1408#124—791no—
1409#124—794no—
1410#124—794no—
1411#124—792no—
1412#124—794no—
1413#124—794no—
1414#124—794no—
1415#124—794no—
1416#124—794no—
1417#124—794no—
1418#124—792no—
1419#124—792no—
1420#124—794no—
1421#124—794no—
1422#124—794no—
1423#124—794no—
1424#124—794no—
1425#124—794no—
1426#124—794no—
1427#124—794no—
1428#124—794no—
1429#124—794no—
1430#124—794no—
1431#124—794no—
1432#124—794no—
1433#124—794no—
1434#123—794no—
1435#123—794no—
1436#123—792no—
1437#123—792no—
1438#123—794no—
1439#123—794no—
1440#123—794no—
1441#123—794no—
1442#123—794no—
1443#123—794no—
1444#123—794no—
1445#123—791no—
1446#123—791no—
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—792no—
1459#123—792no—
1460#123—794no—
1461#123—794no—
1462#123—794no—
1463#123—794no—
1464#123—794no—
1465#123—794no—
1466#123—794no—
1467#123—794no—
1468#123—794no—
1469#123—794no—
1470#123C22×D7914yes—
1471#123C22×D7912yes—
1472#123C22×D7914yes—
1473#123C22×D7914yes—
1474#123C22×D7914yes—
1475#123C22×D7914yes—
1476#123C22×D7914yes—
1477C22⋊Q8—792no—
1478C22⋊Q8—794no—
1479C22⋊Q8—792no—
1480C22⋊Q8—792no—
1481C22⋊Q8—792no—
1482C22⋊Q8—794no—
1483C22⋊Q8—792no—
1484C22⋊Q8—794no—
1485C22⋊Q8—794no—
1486C22⋊Q8—794no—
1487C22⋊Q8—794no—
1488C22⋊Q8—794no—
1489C22⋊Q8—794no—
1490C22⋊Q8—794no—
1491C22⋊Q8—794no—
1492C22⋊Q8—792no—
1493C22⋊Q8—794no—
1494C22⋊Q8—794no—
1495C22⋊Q8—794no—
1496C22⋊Q8—794no—
1497C22⋊Q8—794no—
1498C22⋊Q8—794no—
1499C22⋊Q8—794no—
1500C22⋊Q8—794no—
1501C22⋊Q8—792no—
1502C22⋊Q8—792no—
1503C22⋊Q8—792no—
1504C22⋊Q8—792no—
1505C22⋊Q8—794no—
1506C22⋊Q8—794no—
1507C22⋊Q8—794no—
1508C22⋊Q8—794no—
1509C22⋊Q8—794no—
1510C22⋊Q8—794no—
1511C22⋊Q8—794no—
1512C22⋊Q8C22×D7912yes—
1513C22⋊Q8C22×D7912yes—
1514C22⋊Q8C22×D7912yes—
1515C22⋊Q8C22×D7912yes—
1516C22⋊Q8C22×D7914yes—
1517#121—794no—
1518#121—794no—
1519#121—792no—
1520#121—792no—
1521#121—792no—
1522#121—792no—
1523#121—794no—
1524#121—794no—
1525#121—794no—
1526#121—794no—
1527#121—794no—
1528#121—792no—
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—794no—
1539#121—794no—
1540#121—794no—
1541#121—794no—
1542#121—794no—
1543#121—792no—
1544#121—792no—
1545#121—792no—
1546#121—792no—
1547#121—794no—
1548#121—794no—
1549#121—792no—
1550#121—794no—
1551#121—794no—
1552#121—794no—
1553#121—794no—
1554#121—794no—
1555#121—794no—
1556#121—794no—
1557#121C22×D7912yes—
1558#121C22×D7912yes—
1559#121C22×D7912yes—
1560#121C22×D7914yes—
1561#121C22×D7912yes—
1562#121C22×D7914yes—
1563#121C22×D7914yes—
1564#121C22×D7914yes—
1565#121C22×D7914yes—
1566#121C22×D7914yes—
1567#121C22×D7914yes—
1568#121C22×D7914yes—
1569#120—791no—
1570#120—794no—
1571#120—791no—
1572#120—794no—
1573#120—794no—
1574#120—794no—
1575#120—794no—
1576#120—794no—
1577#120—794no—
1578#120C22×D7912yes—
1579#120C22×D7914yes—
1580C4×Q8—792no—
1581C4×Q8—792no—
1582C4×Q8—792no—
1583C4×Q8—792no—
1584C4×Q8—794no—
1585C4×Q8—792no—
1586C4×Q8—794no—
1587C4×Q8—792no—
1588C4×Q8—792no—
1589C4×Q8—792no—
1590C4×Q8—792no—
1591C4×Q8—794no—
1592C4×Q8—794no—
1593C4×Q8—794no—
1594C4×Q8—794no—
1595C4×Q8—794no—
1596C4×Q8—794no—
1597C4×Q8—792no—
1598C4×Q8—794no—
1599C4×Q8—794no—
1600C4×Q8—792no—
1601C4×Q8—792no—
1602C4×Q8—794no—
1603C4×Q8—794no—
1604C4×Q8—794no—
1605C4×Q8—794no—
1606C4×Q8—792no—
1607C4×Q8C22×D7912yes—
1608C4×D4—792no—
1609C4×D4—794no—
1610C4×D4—794no—
1611C4×D4—792no—
1612C4×D4—792no—
1613C4×D4—792no—
1614C4×D4—792no—
1615C4×D4—794no—
1616C4×D4—794no—
1617C4×D4—792no—
1618C4×D4—792no—
1619C4×D4—794no—
1620C4×D4—794no—
1621C4×D4—794no—
1622C4×D4—794no—
1623C4×D4—792no—
1624C4×D4—794no—
1625C4×D4—794no—
1626C4×D4—792no—
1627C4×D4—792no—
1628C4×D4—794no—
1629C4×D4—792no—
1630C4×D4—794no—
1631C4×D4—792no—
1632C4×D4—794no—
1633C4×D4—794no—
1634C4×D4—794no—
1635C4×D4—794no—
1636C4×D4—794no—
1637C4×D4—794no—
1638C4×D4—794no—
1639C4×D4—794no—
1640C4×D4—794no—
1641C4×D4—792no—
1642C4×D4—792no—
1643C4×D4—792no—
1644C4×D4—794no—
1645C4×D4—794no—
1646C4×D4—794no—
1647C4×D4—792no—
1648C4×D4—794no—
1649C4×D4—794no—
1650C4×D4—794no—
1651C4×D4—792no—
1652C4×D4—792no—
1653C4×D4—792no—
1654C4×D4—792no—
1655C4×D4—794no—
1656C4×D4—794no—
1657C4×D4—792no—
1658C4×D4—794no—
1659C4×D4—792no—
1660C4×D4—794no—
1661C4×D4—794no—
1662C4×D4—794no—
1663C4×D4—794no—
1664C4×D4—792no—
1665C4×D4C22×D7914yes—
1666C4×D4C22×D7912yes—
1667C4×D4C22×D7912yes—
1668C4×D4C22×D7914yes—
1669C4×D4C22×D7914yes—
1670C4×D4C22×D7912yes—
1671C4×D4C22×D7914yes—
1672#117—792no—
1673#117—791no—
1674#117—792no—
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—792no—
1684#117—794no—
1685#117—792no—
1686#117—794no—
1687#117—794no—
1688#117—792no—
1689#117—792no—
1690#117—792no—
1691#117—792no—
1692#117—794no—
1693#117—794no—
1694#117—794no—
1695#117—794no—
1696#117—794no—
1697#117—794no—
1698#117—794no—
1699#117—794no—
1700#117—791no—
1701#117—791no—
1702#117—794no—
1703#117—794no—
1704#117—794no—
1705#117—794no—
1706#117C22×D7911yescharacteristic
1707#117C22×D7912yes—
1708#117C22×D7914yes—
1709C2×C4⋊C4—794no—
1710C2×C4⋊C4—794no—
1711C2×C4⋊C4—794no—
1712C2×C4⋊C4—792no—
1713C2×C4⋊C4—794no—
1714C2×C4⋊C4—794no—
1715C2×C4⋊C4—794no—
1716C2×C4⋊C4—794no—
1717C2×C4⋊C4C22×D7914yes—
1718C2×C4⋊C4C22×D7912yes—
1719C2×C22⋊C4—794no—
1720C2×C22⋊C4—794no—
1721C2×C22⋊C4—794no—
1722C2×C22⋊C4—794no—
1723C2×C22⋊C4—794no—
1724C2×C22⋊C4—794no—
1725C2×C42—794no—
1726C2×C42—792no—
1727C2×C42—792no—
1728C2×C42—792no—
1729C2×C42—792no—
1730C2×C42—791no—
1731C2×C42—792no—
1732C2×C42—791no—
1733C2×C42—792no—
1734C2×C42—794no—
1735C2×C42—791no—
1736C2×C42—791no—
1737C24—794no—
1738C24C23×D7911yescharacteristic
1739#41—42no—
1740#41—44no—
1741#41—44no—
1742#41—3164no—
1743#41—3164no—
1744#41—3162no—
1745#41—3168no—
1746#41—3168no—
1747#41—3168no—
1748#41—3168no—
1749#41—3164no—
1750#41—3164no—
1751C2×Q8—3168no—
1752C2×Q8—3164no—
1753C2×Q8—792no—
1754C2×Q8—794no—
1755C2×Q8—794no—
1756C2×Q8—794no—
1757C2×Q8—791no—
1758C2×Q8—792no—
1759C2×Q8—794no—
1760C2×Q8—794no—
1761C2×Q8—792no—
1762C2×Q8C23×D7912yes—
1763C2×Q8C23×D7911yescharacteristic
1764C2×D4—3164no—
1765C2×D4—3168no—
1766C2×D4—792no—
1767C2×D4—791no—
1768C2×D4—792no—
1769C2×D4—794no—
1770C2×D4—794no—
1771C2×D4—794no—
1772C2×D4—792no—
1773C2×D4—794no—
1774C2×D4—794no—
1775C2×D4—794no—
1776C2×D4—791no—
1777C2×D4—792no—
1778C2×D4—794no—
1779C2×D4—794no—
1780C2×D4—794no—
1781C2×D4—791no—
1782C2×D4—794no—
1783C2×D4—794no—
1784C2×D4—792no—
1785C2×D4C23×D7912yes—
1786C2×D4C23×D7914yes—
1787C2×D4C23×D7914yes—
1788C2×D4C23×D7912yes—
1789C2×D4C23×D7911yescharacteristic
1790C2×D4C23×D7914yes—
1791C2×D4C23×D7914yes—
1792C2×D4C23×D7914yes—
1793C2×D4C23×D7912yes—
1794C2×D4C23×D7912yes—
1795C2×D4C23×D7914yes—
1796C22×C4—42no—
1797C22×C4—3164no—
1798C22×C4—792no—
1799C22×C4—792no—
1800C22×C4—792no—
1801C22×C4—794no—
1802C22×C4—794no—
1803C22×C4—794no—
1804C22×C4—794no—
1805C22×C4—794no—
1806C22×C4—794no—
1807C22×C4—794no—
1808C22×C4—794no—
1809C22×C4—794no—
1810C22×C4—794no—
1811C22×C4—794no—
1812C22×C4—792no—
1813C22×C4—792no—
1814C22×C4—792no—
1815C22×C4—792no—
1816C22×C4—792no—
1817C22×C4—792no—
1818C22×C4—791no—
1819C22×C4—792no—
1820C22×C4—791no—
1821C22×C4C23×D7912yes—
1822C22×C4C23×D7911yescharacteristic
1823C22×C4C23×D7912yes—
1824C22×C4C23×D7911yescharacteristic
1825C22×C4C23×D7912yes—
1826C22×C4C23×D7914yes—
1827C22×C4C23×D7914yes—
1828C22×C4C23×D7914yes—
1829C22×C4C23×D7914yes—
1830C4⋊C4—792no—
1831C4⋊C4—794no—
1832C4⋊C4—794no—
1833C4⋊C4—794no—
1834C4⋊C4—794no—
1835C4⋊C4—794no—
1836C4⋊C4—794no—
1837C4⋊C4—794no—
1838C4⋊C4—794no—
1839C4⋊C4—794no—
1840C4⋊C4—794no—
1841C4⋊C4—794no—
1842C4⋊C4—794no—
1843C4⋊C4—792no—
1844C4⋊C4—792no—
1845C4⋊C4—792no—
1846C4⋊C4—792no—
1847C4⋊C4—792no—
1848C4⋊C4—792no—
1849C4⋊C4—792no—
1850C4⋊C4—794no—
1851C4⋊C4—794no—
1852C4⋊C4—794no—
1853C4⋊C4—792no—
1854C4⋊C4—792no—
1855C4⋊C4—794no—
1856C4⋊C4—794no—
1857C4⋊C4—794no—
1858C4⋊C4—792no—
1859C4⋊C4—794no—
1860C4⋊C4—794no—
1861C4⋊C4—792no—
1862C4⋊C4—792no—
1863C4⋊C4—794no—
1864C4⋊C4—794no—
1865C4⋊C4—794no—
1866C4⋊C4—792no—
1867C4⋊C4—792no—
1868C4⋊C4—792no—
1869C4⋊C4—792no—
1870C4⋊C4—794no—
1871C4⋊C4—794no—
1872C4⋊C4—794no—
1873C4⋊C4C23×D7912yes—
1874C4⋊C4C23×D7914yes—
1875C4⋊C4C23×D7914yes—
1876C4⋊C4C23×D7914yes—
1877C4⋊C4C23×D7912yes—
1878C4⋊C4C23×D7912yes—
1879C4⋊C4C23×D7914yes—
1880C4⋊C4C23×D7914yes—
1881C4⋊C4C23×D7912yes—
1882C4⋊C4C23×D7914yes—
1883C4⋊C4C23×D7914yes—
1884C4⋊C4C23×D7912yes—
1885C4⋊C4C23×D7914yes—
1886C22⋊C4—794no—
1887C22⋊C4—794no—
1888C22⋊C4—794no—
1889C22⋊C4—792no—
1890C22⋊C4—794no—
1891C22⋊C4—792no—
1892C22⋊C4—792no—
1893C22⋊C4—792no—
1894C22⋊C4—792no—
1895C22⋊C4—794no—
1896C22⋊C4—794no—
1897C22⋊C4—794no—
1898C22⋊C4—794no—
1899C22⋊C4—794no—
1900C22⋊C4—794no—
1901C22⋊C4—794no—
1902C22⋊C4—794no—
1903C22⋊C4—791no—
1904C22⋊C4—792no—
1905C22⋊C4—791no—
1906C22⋊C4—792no—
1907C22⋊C4—792no—
1908C22⋊C4—792no—
1909C22⋊C4—794no—
1910C22⋊C4—794no—
1911C22⋊C4—794no—
1912C22⋊C4—794no—
1913C22⋊C4—794no—
1914C22⋊C4—794no—
1915C22⋊C4—794no—
1916C22⋊C4—794no—
1917C22⋊C4—794no—
1918C22⋊C4—792no—
1919C22⋊C4—794no—
1920C22⋊C4—792no—
1921C22⋊C4—792no—
1922C22⋊C4—794no—
1923C22⋊C4—794no—
1924C22⋊C4—794no—
1925C22⋊C4—794no—
1926C22⋊C4—794no—
1927C22⋊C4—794no—
1928C22⋊C4C23×D7914yes—
1929C22⋊C4C23×D7914yes—
1930C22⋊C4C23×D7914yes—
1931C22⋊C4C23×D7912yes—
1932C22⋊C4C23×D7914yes—
1933C22⋊C4C23×D7912yes—
1934C22⋊C4C23×D7914yes—
1935C22⋊C4C23×D7912yes—
1936C22⋊C4C23×D7914yes—
1937C22⋊C4C23×D7914yes—
1938C22⋊C4C23×D7912yes—
1939C22⋊C4C23×D7912yes—
1940C22⋊C4C23×D7914yes—
1941C42—792no—
1942C42—791no—
1943C42—791no—
1944C42—792no—
1945C42—792no—
1946C42—791no—
1947C42—792no—
1948C42—792no—
1949C42—792no—
1950C42—791no—
1951C42—794no—
1952C42—794no—
1953C42—794no—
1954C42—794no—
1955C42—794no—
1956C42—792no—
1957C42—792no—
1958C42—792no—
1959C42—792no—
1960C42—792no—
1961C42—794no—
1962C42—794no—
1963C42—794no—
1964C42—794no—
1965C42—794no—
1966C42C23×D7914yes—
1967C42C23×D7911yescharacteristic
1968C42C23×D7911yescharacteristic
1969C42C23×D7914yes—
1970C23—41no—
1971C23—42no—
1972C23—3164no—
1973C23—3164no—
1974C23—3164no—
1975C23—791no—
1976C23—794no—
1977C23—791no—
1978C23C24×D7914yes—
1979C23C24×D7912yes—
1980C23C24×D7911yescharacteristic
1981C23C24×D7912yes—
1982Q8—24no—
1983Q8—41no—
1984Q8—3164no—
1985Q8—3164no—
1986Q8—3164no—
1987Q8—3162no—
1988Q8—3162no—
1989Q8—3161no—
1990Q8—1588no—
1991Q8—1588no—
1992Q8—1584no—
1993D4—24no—
1994D4—44no—
1995D4—42no—
1996D4—41no—
1997D4—44no—
1998D4—44no—
1999D4—42no—
2000D4—44no—
2001D4—44no—
2002D4—44no—
2003D4—42no—
2004D4—3164no—
2005D4—3164no—
2006D4—3161no—
2007D4—3164no—
2008D4—3162no—
2009D4—3164no—
2010D4—3164no—
2011D4—3164no—
2012D4—3164no—
2013D4—3162no—
2014D4—3162no—
2015D4—3162no—
2016D4—3164no—
2017D4—3164no—
2018D4—3161no—
2019D4—3161no—
2020D4—1588no—
2021D4—1588no—
2022D4—1584no—
2023C2×C4—24no—
2024C2×C4—22no—
2025C2×C4—24no—
2026C2×C4—41no—
2027C2×C4—42no—
2028C2×C4—44no—
2029C2×C4—44no—
2030C2×C4—44no—
2031C2×C4—44no—
2032C2×C4—3164no—
2033C2×C4—3164no—
2034C2×C4—3164no—
2035C2×C4—3164no—
2036C2×C4—3164no—
2037C2×C4—3164no—
2038C2×C4—3164no—
2039C2×C4—3162no—
2040C2×C4—3162no—
2041C2×C4—3162no—
2042C2×C4—3164no—
2043C2×C4—3164no—
2044C2×C4—3164no—
2045C2×C4—3164no—
2046C2×C4—792no—
2047C2×C4—792no—
2048C2×C4—792no—
2049C2×C4—792no—
2050C2×C4—791no—
2051C2×C4—791no—
2052C2×C4—794no—
2053C2×C4—794no—
2054C2×C4—792no—
2055C2×C4—794no—
2056C2×C4—792no—
2057C2×C4—1584no—
2058C2×C4—1584no—
2059C2×C4—1584no—
2060C2×C4—1584no—
2061C2×C4—1584no—
2062C2×C4—1584no—
2063C2×C4—1584no—
2064C2×C4—1582no—
2065C2×C4—1582no—
2066C2×C4C24×D7912yes—
2067C2×C4C24×D7911yescharacteristic
2068C2×C4C24×D7912yes—
2069C2×C4C24×D7914yes—
2070C2×C4C24×D7914yes—
2071C2×C4C24×D7914yes—
2072C2×C4C24×D7912yes—
2073C2×C4C24×D7912yes—
2074C2×C4C24×D7911yescharacteristic
2075C22—22no—
2076C22—24no—
2077C22—24no—
2078C22—22no—
2079C22—22no—
2080C22—22no—
2081C22—22no—
2082C22—22no—
2083C22—21no—
2084C22—22no—
2085C22—24no—
2086C22—44no—
2087C22—1584no—
2088C22—1584no—
2089C22—1582no—
2090C22—1582no—
2091C22—1581no—
2092C22—1584no—
2093C22—1581no—
2094C22—12644no—
2095C22C25×D7911yescharacteristic
2096C4—22no—
2097C4—24no—
2098C4—24no—
2099C4—22no—
2100C4—22no—
2101C4—22no—
2102C4—21no—
2103C4—24no—
2104C4—794no—
2105C4—1582no—
2106C4—1582no—
2107C4—1582no—
2108C4—1584no—
2109C4—1584no—
2110C4—1582no—
2111C4—1582no—
2112C4—1584no—
2113C4—1581no—
2114C4—1581no—
2115C4#1909939812yes—
2116C2—42no—
2117C2—41no—
2118C2—44no—
2119C2—42no—
2120C2—3161no—
2121C2—3164no—
2122C2—3161no—
2123C2#585×D7912yes—
2124C2C2×#1909939811yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3539C2
hypercenter#3539D79
hypocenterC79#62839
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3539

Complements

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

NH ≅ G/Ntype
1. #23777908C2semidirect
2. #23777905C2semidirect
3. #23777904C2semidirect
4. #23777821C2semidirect
5. #23777818C2semidirect
6. #23777668C2semidirect
7. #23777667C2semidirect
8. #23777660C2semidirect
9. #23777654C2semidirect
10. #23777508C2semidirect
11. #23777506C2semidirect
12. #23777503C2semidirect
13. #23777498C2semidirect
14. #23777469C2semidirect
15. #23777463C2semidirect
16. #23777459C2semidirect
17. #23777458C2semidirect
18. #23777310C2semidirect
19. #23777309C2semidirect
20. #23777302C2semidirect
21. #23777282C2semidirect
22. #23777278C2semidirect
23. #23777272C2semidirect
24. #23777270C2semidirect
25. #23776692C2semidirect
26. #23776692C2semidirect
27. C79×#3539C2semidirect
28. #19099317C22semidirect
29. #19099316C22semidirect
30. #19099314C22semidirect
32. #19099302C22semidirect
33. #19099302C22semidirect
34. #19099301C22semidirect
35. #19099299C22semidirect
36. #19099299C22semidirect
37. #19099298C22semidirect
38. #19099297C22semidirect
39. #19099297C22semidirect
40. #19099296C22semidirect
41. #19099296C22semidirect
42. #19099290C22semidirect
43. #19099290C22semidirect
44. #19099290C22semidirect
45. #19099289C22semidirect
46. #19099287C22semidirect
48. #19099284C22semidirect
49. #19099283C22semidirect
53. #19099280C22semidirect
54. #19099277C22semidirect
55. #19099277C22semidirect
56. #19099277C22semidirect
57. #19099277C22semidirect
58. #19099277C22semidirect
59. #19099276C22semidirect
60. #19099276C22semidirect
61. #19099272C22semidirect
62. #19099271C22semidirect
63. #19099269C22semidirect
64. #19099268C22semidirect
65. #19099265C22semidirect
66. #19099265C22semidirect
67. #19099264C22semidirect
68. #19099261C22semidirect
69. #19099260C22semidirect
70. #19099259C22semidirect
71. #19099258C22semidirect
72. #19099258C22semidirect
73. #19099258C22semidirect
74. #19099256C22semidirect
75. #19099256C22semidirect
76. #19099256C22semidirect
77. #19099255C22semidirect
78. #19099253C22semidirect
79. #19099253C22semidirect
80. #19099251C22semidirect
81. #19099250C22semidirect
82. #19099250C22semidirect
83. #19099249C22semidirect
84. #19099249C22semidirect
85. #19099248C22semidirect
86. #19099248C22semidirect
87. #19099246C22semidirect
88. #19099245C22semidirect
89. #19099245C22semidirect
91. #19099242C22semidirect
92. #19099240C22semidirect
95. #19099236C22semidirect
99. #19099223C22semidirect
100. #19099223C22semidirect
101. #19099222C22semidirect
102. #19099220C22semidirect
103. #19099220C22semidirect
104. #19099219C22semidirect
105. #19099219C22semidirect
106. #19099219C22semidirect
107. #19099218C22semidirect
108. #19099213C22semidirect
109. #19099211C22semidirect
111. #19099210C22semidirect
112. #19099205C22semidirect
115. #19099202C22semidirect
117. #19099201C22semidirect
118. #19099186C22semidirect
119. #19099186C22semidirect
120. #19099181C22semidirect
121. #19099181C22semidirect
122. #19099181C22semidirect
123. #19099181C22semidirect
124. #19099180C22semidirect
125. #19099180C22semidirect
126. #19099180C22semidirect
127. #19099180C22semidirect
128. #19099179C22semidirect
129. #19099179C22semidirect
130. #19099179C22semidirect
131. #19099178C22semidirect
132. #19099176C22semidirect
133. #19099175C22semidirect
134. #19099174C22semidirect
135. #19099172C22semidirect
136. #19099170C22semidirect
137. #19099169C22semidirect
139. #19099167C22semidirect
140. #19099167C22semidirect
141. #19099166C22semidirect
142. #19099165C22semidirect
144. #19099163C22semidirect
145. #19099163C22semidirect
146. #19099163C22semidirect
147. #19099159C22semidirect
148. #19099158C22semidirect
149. #19099157C22semidirect
150. #19099156C22semidirect
151. #19099154C22semidirect
158. #19099142C22semidirect
159. #19099141C22semidirect
160. #19099140C22semidirect
165. #19099119C22semidirect
166. #19099119C22semidirect
167. #19099117C22semidirect
168. #19099116C22semidirect
169. #19099116C22semidirect
170. #19099115C22semidirect
171. #19099115C22semidirect
172. #19099115C22semidirect
173. #19099115C22semidirect
174. #19099110C22semidirect
177. #19099109C22semidirect
181. #19099108C22semidirect
182. C2×#14579160C22semidirect
183. C4⋊Q8×D79C22semidirect
184. #127×D79C22semidirect
186. #19099099C22semidirect
187. #19099099C22semidirect
188. #19099098C22semidirect
189. #19099095C22semidirect
190. #19099094C22semidirect
191. #19099094C22semidirect
192. #19099094C22semidirect
193. #19099094C22semidirect
195. #19099093C22semidirect
196. #19099093C22semidirect
197. #19099093C22semidirect
198. #19099093C22semidirect
199. #19099091C22semidirect
201. #19099090C22semidirect
202. #19099090C22semidirect
203. #19099090C22semidirect
204. #19099090C22semidirect
205. C2×#14579156C22semidirect
206. #126×D79C22semidirect
208. #19099074C22semidirect
210. #19099069C22semidirect
211. #19099069C22semidirect
212. #19099069C22semidirect
213. #19099046C22semidirect
214. #19099044C22semidirect
215. #19099044C22semidirect
216. #19099042C22semidirect
217. #19099040C22semidirect
218. #19099039C22semidirect
219. #19099035C22semidirect
220. #19099035C22semidirect
221. #41×Dic79C22semidirect
222. #41×Dic79C22semidirect
224. #19099031C22semidirect
226. C4×#11929623C22semidirect
227. C4×#11929623C22semidirect
228. C4×#11929623C22semidirect
229. C22×C4×Dic79C22semidirect
230. #560×C79C22semidirect
231. #553×C79C22semidirect
232. #553×C79C22semidirect
233. #552×C79C22semidirect
235. #547×C79C22semidirect
236. #541×C79C22semidirect
238. #540×C79C22semidirect
239. #539×C79C22semidirect
240. #537×C79C22semidirect
241. #525×C79C22semidirect
242. #525×C79C22semidirect
1072. #3539D79semidirect
1090. C79#62839semidirect
1098. #560C2×D79semidirect
1141. #553C2×D79semidirect
1142. #553C2×D79semidirect
1156. #552C2×D79semidirect
1178. #547C2×D79semidirect
1206. #541C2×D79semidirect
1218. #540C2×D79semidirect
1224. #539C2×D79semidirect
1234. #537C2×D79semidirect
1287. #525C2×D79semidirect
1288. #525C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779082
#237779052
#237779042
#237778212
#237778182
#237776682
#237776672
#237776602
#237776542
#237775082
#237775062
#237775032
#237774982
#237774692
#237774632
#237774592
#237774582
#237773102
#237773092
#237773022
#237772822
#237772782
#237772722
#237772702
#237766922
C79×#35392
#6283979