Finite Group Databasebeta

← #35197260

Subgroups — #35197260

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#23777906C211yesmaximal, characteristic, complemented
2#23777900C214yesmaximal, complemented
3#23777825C214yesmaximal, complemented
4#23777822C212yesmaximal, complemented
5#23777672C212yesmaximal, complemented
6#23777665C214yesmaximal, complemented
7#23777662C211yesmaximal, characteristic, complemented
8#23777659C211yesmaximal, characteristic, complemented
9#23777658C214yesmaximal, complemented
10#23777512C212yesmaximal, complemented
11#23777507C214yesmaximal, complemented
12#23777506C214yesmaximal, complemented
13#23777504C212yesmaximal, complemented
14#23777471C212yesmaximal, complemented
15#23777467C212yesmaximal, complemented
16#23777458C214yesmaximal, complemented
17#23777455C214yesmaximal, complemented
18#23777308C212yesmaximal, complemented
19#23777305C212yesmaximal, complemented
20#23777304C212yesmaximal, complemented
21#23777283C212yesmaximal, complemented
22#23777282C211yesmaximal, characteristic, complemented
23#23777273C212yesmaximal, complemented
24#23777272C211yesmaximal, characteristic, complemented
25#23776697C211yesmaximal, characteristic, complemented
26#23776694C212yesmaximal, complemented
27C79×#3557C211yesmaximal, characteristic, complemented
28#19099315C2214yescomplemented
29#19099312C2214yescomplemented
30#19099305C2214yes—
31#19099304C2214yescomplemented
32#19099304C2214yescomplemented
33#19099303C2214yescomplemented
34#19099301C2214yescomplemented
35#19099298C2212yescomplemented
36#19099298C2214yescomplemented
37#19099297C2214yescomplemented
38#19099297C2214yescomplemented
39#19099295C2214yescomplemented
40#19099295C2214yescomplemented
41#19099291C2212yescomplemented
42#19099290C2214yescomplemented
43#19099288C2214yescomplemented
44#19099287C2212yes—
45#19099286C2212yes—
46#19099286C2212yescomplemented
47#19099285C2214yes—
48#19099284C2214yescomplemented
49#19099280C2214yes—
50#19099280C2214yescomplemented
51#19099279C2212yescomplemented
52#19099279C2214yescomplemented
53#19099278C2212yescomplemented
54#19099276C2214yescomplemented
55#19099276C2214yescomplemented
56#19099275C2214yescomplemented
57#19099275C2214yescomplemented
58#19099273C2212yescomplemented
59#19099271C2214yescomplemented
60#19099267C2214yescomplemented
61#19099266C2212yescomplemented
62#19099266C2212yescomplemented
63#19099266C2214yescomplemented
64#19099265C2214yescomplemented
65#19099264C2214yescomplemented
66#19099264C2214yescomplemented
67#19099264C2214yescomplemented
68#19099264C2214yescomplemented
69#19099264C2214yescomplemented
70#19099263C2212yescomplemented
71#19099263C2212yescomplemented
72#19099262C2214yescomplemented
73#19099261C2214yescomplemented
74#19099258C2214yescomplemented
75#19099255C2214yescomplemented
76#19099254C2212yescomplemented
77#19099254C2212yescomplemented
78#19099251C2212yescomplemented
79#19099251C2212yescomplemented
80#19099251C2214yescomplemented
81#19099250C2214yescomplemented
82#19099249C2214yescomplemented
83#19099249C2214yescomplemented
84#19099245C2214yescomplemented
85#19099245C2214yescomplemented
86#19099245C2214yescomplemented
87#19099245C2214yescomplemented
88#19099240C2214yes—
89#19099240C2214yescomplemented
90#19099240C2214yescomplemented
91#19099237C2214yes—
92#19099237C2214yescomplemented
93#19099236C2214yes—
94#19099235C2212yes—
95#19099234C2214yes—
96#19099233C2212yes—
97#19099231C2214yes—
98#19099225C2212yescomplemented
99#19099225C2212yescomplemented
100#19099223C2214yescomplemented
101#19099223C2214yescomplemented
102#19099223C2214yescomplemented
103#19099221C2212yescomplemented
104#19099221C2212yescomplemented
105#19099221C2214yescomplemented
106#19099217C2212yescomplemented
107#19099216C2212yescomplemented
108#19099214C2214yescomplemented
109#19099211C2214yescomplemented
110#19099208C2212yes—
111#19099208C2212yescomplemented
112#19099206C2212yes—
113#19099206C2212yescomplemented
114#19099205C2214yes—
115#19099205C2214yescomplemented
116#19099205C2214yescomplemented
117#19099202C2214yes—
118#19099187C2212yescomplemented
119#19099187C2214yescomplemented
120#19099186C2214yescomplemented
121#19099184C2212yescomplemented
122#19099183C2214yescomplemented
123#19099183C2214yescomplemented
124#19099183C2214yescomplemented
125#19099182C2212yescomplemented
126#19099179C2214yescomplemented
127#19099179C2214yescomplemented
128#19099179C2214yescomplemented
129#19099177C2214yescomplemented
130#19099176C2211yescharacteristic, complemented
131#19099175C2211yescharacteristic, complemented
132#19099174C2211yescharacteristic, complemented
133#19099172C2214yescomplemented
134#19099172C2214yescomplemented
135#19099169C2214yescomplemented
136#19099169C2214yescomplemented
137#19099169C2211yescharacteristic, complemented
138#19099168C2211yescharacteristic
139#19099167C2211yescharacteristic, complemented
140#19099165C2214yes—
141#19099165C2214yescomplemented
142#19099165C2214yescomplemented
143#19099165C2214yescomplemented
144#19099165C2214yescomplemented
145#19099164C2214yescomplemented
146#19099162C2214yescomplemented
147#19099161C2214yescomplemented
148#19099159C2214yescomplemented
149#19099159C2214yescomplemented
150#19099157C2214yescomplemented
151#19099153C2214yes—
152#19099153C2214yes—
153#19099152C2214yes—
154#19099152C2214yes—
155#19099149C2214yes—
156#19099146C2214yes—
157#19099143C2214yescomplemented
158#19099143C2212yescomplemented
159#19099143C2214yescomplemented
160#19099142C2212yescomplemented
161#19099138C2214yes—
162#19099136C2212yes—
163#19099131C2214yes—
164#19099129C2212yes—
165#19099119C2211yescharacteristic, complemented
166#19099119C2211yescharacteristic, complemented
167#19099119C2212yescomplemented
168#19099118C2212yescomplemented
169#19099117C2212yescomplemented
170#19099117C2212yescomplemented
171#19099117C2212yescomplemented
172#19099115C2212yescomplemented
173#19099114C2212yes—
174#19099113C2211yescharacteristic
175#19099112C2212yes—
176#19099112C2212yescomplemented
177#19099110C2212yes—
178#19099110C2212yescomplemented
179#19099110C2212yescomplemented
180#19099108C2212yes—
181C4⋊Q8×D79C2211yescharacteristic, complemented
182C4⋊Q8×D79C2212yescomplemented
183#127×D79C2211yescharacteristic, complemented
184#19099100C2212yes—
185#19099100C2214yescomplemented
186#19099100C2212yescomplemented
187#19099099C2212yes—
188#19099099C2212yescomplemented
189#19099099C2214yescomplemented
190#19099098C2212yes—
191#19099098C2214yescomplemented
192#19099098C2212yescomplemented
193#19099098C2212yescomplemented
194#19099097C2212yescomplemented
195#19099096C2214yescomplemented
196#19099096C2214yescomplemented
197#19099093C2214yescomplemented
198#19099092C2212yescomplemented
199#19099091C2214yescomplemented
200#19099091C2214yescomplemented
201#19099090C2214yescomplemented
202#19099090C2214yescomplemented
203C2×#14579156C2214yescomplemented
204#126×D79C2214yescomplemented
205#19099076C2212yes—
206#19099076C2212yescomplemented
207#19099076C2212yescomplemented
208#19099075C2211yescharacteristic
209#19099075C2211yescharacteristic, complemented
210#19099073C2212yescomplemented
211#19099072C2214yescomplemented
212#19099071C2214yescomplemented
213#19099045C2212yescomplemented
214#19099044C2214yescomplemented
215#19099043C2214yescomplemented
216#19099042C2212yescomplemented
217#19099039C2212yescomplemented
218#19099039C2214yescomplemented
219#19099035C2214yescomplemented
220#19099035C2212yescomplemented
221C4×#11929625C2212yes—
222C4×#11929625C2212yescomplemented
223C4×#11929625C2212yescomplemented
224#19099031C2211yescharacteristic
225#19099031C2211yescharacteristic, complemented
226#19099031C2214yescomplemented
227C4×#11929623C2214yescomplemented
228C4×#11929623C2212yescomplemented
229C2×C42×D79C2211yescharacteristic, complemented
230#563×C79C2214yescomplemented
231#559×C79C2212yescomplemented
232#557×C79C2212yescomplemented
233#556×C79C2212yescomplemented
234#554×C79C2212yescomplemented
235#552×C79C2214yescomplemented
236#542×C79C2212yescomplemented
237#542×C79C2214yescomplemented
238#541×C79C2211yescharacteristic, complemented
239#540×C79C2211yescharacteristic
240#539×C79C2214yescomplemented
241#533×C79C2211yescharacteristic, complemented
242#529×C79C2212yescomplemented
243C2×#11929625C2312yes—
244C2×#11929625C2312yes—
245C2×#11929625C2312yes—
246C2×#11929625C2312yes—
247C2×#11929624C2311yescharacteristic
248C2×#11929624C2311yescharacteristic
249C2×#11929624C2314yes—
250C2×#11929624C2314yes—
251C2×#11929624C2314yes—
252C2×#11929623C2312yes—
253C2×#11929623C2314yes—
254C2×#11929623C2312yes—
255C2×Q8×D79C2312yes—
256C2×Q8×D79C2314yes—
257C2×D4×D79C2314yes—
258C2×D4×D79C2312yes—
259C22×C4×D79C2312yes—
260C22×C4×D79C2311yescharacteristic
261#14579161C2311yescharacteristic
262#14579161C2312yes—
263#14579161C2311yescharacteristic
264#14579160C2314yes—
265#14579160C2314yes—
266#14579160C2314yes—
267#14579160C2312yes—
268#14579160C2312yes—
269#14579159C2314yes—
270#14579159C2314yes—
271#14579159C2312yes—
272#14579158C2311yescharacteristic
273#14579158C2314yes—
274#14579158C2311yescharacteristic
275#14579157C2314yes—
276#14579157C2314yes—
277#14579157C2314yes—
278#14579157C2312yes—
279#14579156C2314yes—
280#14579156C2314yes—
281#14579156C2314yes—
282#14579156C2314yes—
283#14579156C2314yes—
284#14579156C2314yes—
285#14579156C2314yes—
286#14579156C2314yes—
287#14579156C2314yes—
288#14579156C2314yes—
289#14579156C2314yes—
290#14579156C2314yes—
291#14579156C2314yes—
292#14579156C2314yes—
293#14579156C2312yes—
294#14579156C2314yes—
295#14579156C2312yes—
296#14579156C2312yes—
297#14579156C2312yes—
298#14579155C2314yes—
299#14579155C2314yes—
300#14579155C2314yes—
301#14579154C2314yes—
302#14579154C2314yes—
303#14579154C2314yes—
304#14579154C2314yes—
305#14579154C2314yes—
306#14579153C2311yescharacteristic
307#14579153C2311yescharacteristic
308#14579153C2312yes—
309#14579152C2314yes—
310#14579152C2314yes—
311#14579152C2314yes—
312#14579152C2312yes—
313#14579152C2312yes—
314#14579151C2314yes—
315#14579151C2314yes—
316#14579151C2314yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579151C2314yes—
321#14579151C2314yes—
322#14579151C2314yes—
323#14579151C2314yes—
324#14579150C2314yes—
325#14579150C2314yes—
326#14579150C2314yes—
327#14579150C2314yes—
328#14579150C2314yes—
329#14579150C2312yes—
330#14579150C2312yes—
331#14579149C2314yes—
332#14579149C2314yes—
333#14579149C2314yes—
334#14579149C2312yes—
335#14579149C2312yes—
336#14579149C2311yescharacteristic
337#14579149C2311yescharacteristic
338#14579147C2314yes—
339#14579147C2314yes—
340#14579147C2314yes—
341#14579147C2314yes—
342#14579147C2314yes—
343#14579147C2314yes—
344#14579147C2314yes—
345#14579147C2314yes—
346#14579147C2314yes—
347#14579147C2314yes—
348#14579147C2314yes—
349#14579147C2314yes—
350#14579146C2314yes—
351#14579146C2314yes—
352#14579146C2314yes—
353#14579146C2314yes—
354#14579146C2314yes—
355#14579146C2314yes—
356#14579146C2314yes—
357#14579146C2314yes—
358#14579146C2314yes—
359#14579146C2314yes—
360#14579146C2314yes—
361#14579146C2314yes—
362#14579146C2314yes—
363#14579146C2314yes—
364#14579146C2314yes—
365#14579146C2314yes—
366#14579146C2312yes—
367#14579146C2312yes—
368#14579146C2312yes—
369#14579146C2312yes—
370#14579145C2314yes—
371#14579145C2314yes—
372#14579145C2314yes—
373#14579145C2314yes—
374#14579145C2314yes—
375#14579145C2311yescharacteristic
376#14579145C2312yes—
377#14579145C2311yescharacteristic
378#14579144C2314yes—
379#14579144C2314yes—
380#14579144C2314yes—
381#14579143C2314yes—
382#14579143C2314yes—
383#14579143C2314yes—
384#14579143C2314yes—
385#14579143C2314yes—
386#14579143C2314yes—
387#14579142C2314yes—
388#14579141C2312yes—
389#14579141C2312yes—
390#14579141C2314yes—
391#14579141C2312yes—
392#14579141C2312yes—
393#14579141C2314yes—
394#14579141C2312yes—
395#14579140C2312yes—
396#14579139C2314yes—
397#14579139C2314yes—
398#14579139C2314yes—
399#14579139C2314yes—
400#14579139C2314yes—
401#14579139C2314yes—
402#14579139C2314yes—
403#14579139C2314yes—
404#14579139C2314yes—
405#14579139C2314yes—
406#14579139C2314yes—
407#14579138C2314yes—
408#14579138C2314yes—
409#14579138C2314yes—
410#14579138C2314yes—
411#14579138C2314yes—
412#14579137C2312yes—
413#14579137C2314yes—
414#14579137C2314yes—
415#14579137C2312yes—
416#14579137C2312yes—
417#14579137C2312yes—
418#14579137C2314yes—
419#14579137C2312yes—
420#14579136C2314yes—
421#14579136C2314yes—
422#14579136C2314yes—
423#14579136C2314yes—
424#14579136C2314yes—
425#14579136C2314yes—
426#14579136C2314yes—
427#14579136C2312yes—
428#14579136C2312yes—
429#14579136C2312yes—
430#14579136C2314yes—
431#14579136C2312yes—
432#14579136C2312yes—
433#14579136C2314yes—
434#14579136C2314yes—
435#14579136C2312yes—
436#14579136C2312yes—
437#14579135C2314yes—
438#14579135C2314yes—
439#14579135C2312yes—
440#14579135C2312yes—
441#14579135C2314yes—
442#14579135C2312yes—
443#14579135C2314yes—
444#14579134C2314yes—
445#14579134C2314yes—
446#14579134C2314yes—
447#14579134C2314yes—
448#14579134C2314yes—
449#14579134C2314yes—
450#14579134C2314yes—
451#14579134C2314yes—
452#14579134C2314yes—
453#14579134C2314yes—
454#14579134C2314yes—
455#14579134C2314yes—
456#14579134C2314yes—
457#14579134C2314yes—
458#14579134C2314yes—
459#14579134C2314yes—
460#14579134C2314yes—
461#14579133C2314yes—
462#14579133C2314yes—
463#14579133C2314yes—
464#14579133C2314yes—
465#14579133C2314yes—
466#14579132C2314yes—
467#14579132C2312yes—
468#14579132C2312yes—
469#14579132C2312yes—
470#14579131C2314yes—
471#14579131C2314yes—
472#14579131C2314yes—
473#14579131C2314yes—
474#14579131C2314yes—
475#14579131C2312yes—
476#14579131C2311yescharacteristic
477#14579131C2314yes—
478#14579131C2311yescharacteristic
479#14579129C2314yes—
480#14579129C2314yes—
481Q8×Dic79C2312yes—
482Q8×Dic79C2314yes—
483Q8×Dic79C2312yes—
484Q8×Dic79C2312yes—
485C4×Dic158C2314yes—
486C4×Dic158C2314yes—
487C4×Dic158C2312yes—
488C4×Dic158C2314yes—
489C4×Dic158C2314yes—
490C4×Dic158C2314yes—
491C4×Dic158C2312yes—
492C4×Dic158C2312yes—
493#14579126C2314yes—
494#14579126C2314yes—
495#14579126C2312yes—
496#14579126C2314yes—
497#14579126C2314yes—
498#14579126C2314yes—
499#14579126C2314yes—
500#14579126C2314yes—
501#14579126C2312yes—
502#14579126C2312yes—
503C4×D316C2314yes—
504C4×D316C2314yes—
505C4×D316C2314yes—
506C4×D316C2314yes—
507C4×D316C2312yes—
508C4×D316C2312yes—
509C4×D316C2312yes—
510C4×D316C2312yes—
511C4×D316C2312yes—
512C4×D316C2312yes—
513C4×D316C2312yes—
514C4×D316C2312yes—
515C4×D316C2312yes—
516C4×D316C2314yes—
517D4×Dic79C2314yes—
518D4×Dic79C2312yes—
519D4×Dic79C2314yes—
520#14579123C2314yes—
521#14579123C2314yes—
522#14579123C2314yes—
523#14579123C2314yes—
524#14579123C2312yes—
525#14579123C2314yes—
526#14579123C2314yes—
527#14579123C2312yes—
528#14579123C2312yes—
529#14579123C2312yes—
530#14579123C2312yes—
531#14579123C2312yes—
532#14579123C2312yes—
533#14579123C2312yes—
534#14579123C2312yes—
535#14579123C2314yes—
536C4×C22⋊D79C2314yes—
537C4×C22⋊D79C2314yes—
538C4×C22⋊D79C2314yes—
539C4×C22⋊D79C2314yes—
540C4×C22⋊D79C2314yes—
541C4×C22⋊D79C2314yes—
542C4×C22⋊D79C2314yes—
543C4×C22⋊D79C2314yes—
544C4×C22⋊D79C2314yes—
545(C22⋊D79)⋊C4C2314yes—
546(C22⋊D79)⋊C4C2314yes—
547(C22⋊D79)⋊C4C2314yes—
548(C22⋊D79)⋊C4C2314yes—
549(C22⋊D79)⋊C4C2314yes—
550(C22⋊D79)⋊C4C2314yes—
551(C22⋊D79)⋊C4C2314yes—
552(C22⋊D79)⋊C4C2314yes—
553(C22⋊D79)⋊C4C2314yes—
554(C22⋊D79)⋊C4C2312yes—
555(C22⋊D79)⋊C4C2314yes—
556(C22⋊D79)⋊C4C2314yes—
557(C22⋊D79)⋊C4C2312yes—
558(C22⋊D79)⋊C4C2312yes—
559(C22⋊D79)⋊C4C2312yes—
560(C22⋊D79)⋊C4C2314yes—
561(C22⋊D79)⋊C4C2314yes—
562#14579120C2314yes—
563#14579119C2312yes—
564#14579119C2312yes—
565#14579119C2312yes—
566#14579119C2314yes—
567#14579119C2314yes—
568#14579119C2314yes—
569#14579119C2312yes—
570#14579119C2312yes—
571#14579119C2312yes—
572#14579119C2314yes—
573#14579119C2312yes—
574#14579119C2314yes—
575#14579119C2314yes—
576#14579119C2314yes—
577#14579119C2312yes—
578#14579119C2312yes—
579#14579119C2312yes—
580#14579118C2314yes—
581#14579118C2314yes—
582#14579118C2311yescharacteristic
583#14579118C2314yes—
584#14579118C2314yes—
585#14579118C2311yescharacteristic
586#14579118C2312yes—
587#14579118C2314yes—
588#14579118C2314yes—
589#14579118C2314yes—
590#14579118C2314yes—
591#14579117C2314yes—
592#14579117C2314yes—
593#14579117C2314yes—
594#14579117C2314yes—
595C2×C4⋊Dic79C2314yes—
596C2×Dic79⋊C4C2314yes—
597C4⋊C4×D79C2312yes—
598C4⋊C4×D79C2314yes—
599C4⋊C4×D79C2314yes—
600C4⋊C4×D79C2312yes—
601C4⋊C4×D79C2314yes—
602C4⋊C4×D79C2314yes—
603C4⋊C4×D79C2314yes—
604C2×(C2×D79)⋊C4C2314yes—
605C2×(C2×D79)⋊C4C2314yes—
606C2×(C2×D79)⋊C4C2314yes—
607C22⋊C4×D79C2314yes—
608C22⋊C4×D79C2314yes—
609C22⋊C4×D79C2314yes—
610C2×C4×Dic79C2312yes—
611C2×C4×Dic79C2311yescharacteristic
612C2×C4×Dic79C2314yes—
613C42×D79C2312yes—
614C42×D79C2312yes—
615C42×D79C2312yes—
616C42×D79C2312yes—
617C42×D79C2314yes—
618C42×D79C2311yescharacteristic
619C42×D79C2311yescharacteristic
620C42×D79C2312yes—
621C4⋊Q8×C79C2314yes—
622C4⋊Q8×C79C2311yescharacteristic
623C4⋊Q8×C79C2312yes—
624C4⋊Q8×C79C2312yes—
625#127×C79C2311yescharacteristic
626#126×C79C2314yes—
627#126×C79C2314yes—
628#126×C79C2314yes—
629#126×C79C2314yes—
630#126×C79C2314yes—
631#125×C79C2314yes—
632#125×C79C2314yes—
633#125×C79C2311yescharacteristic
634#125×C79C2314yes—
635#125×C79C2311yescharacteristic
636#125×C79C2312yes—
637#125×C79C2312yes—
638#124×C79C2314yes—
639#124×C79C2312yes—
640#124×C79C2312yes—
641#124×C79C2314yes—
642#123×C79C2314yes—
643#123×C79C2314yes—
644#123×C79C2314yes—
645#123×C79C2314yes—
646#123×C79C2314yes—
647C22⋊Q8×C79C2312yes—
648C22⋊Q8×C79C2314yes—
649C22⋊Q8×C79C2314yes—
650C22⋊Q8×C79C2314yes—
651C22⋊Q8×C79C2314yes—
652C22⋊Q8×C79C2312yes—
653C22⋊Q8×C79C2312yes—
654C22⋊Q8×C79C2314yes—
655#121×C79C2312yes—
656#121×C79C2314yes—
657C4×Q8×C79C2312yes—
658C4×Q8×C79C2312yes—
659C4×Q8×C79C2312yes—
660C4×Q8×C79C2312yes—
661C4×Q8×C79C2312yes—
662C4×Q8×C79C2314yes—
663C4×D4×C79C2314yes—
664C4×D4×C79C2312yes—
665C4×D4×C79C2312yes—
666C4×D4×C79C2312yes—
667C4×D4×C79C2314yes—
668#117×C79C2311yescharacteristic
669#117×C79C2311yescharacteristic
670#117×C79C2314yes—
671#117×C79C2314yes—
672C2×C4⋊C4×C79C2314yes—
673C2×C42×C79C2311yescharacteristic
674C23×D79C2414yes—
675C23×D79C2411yescharacteristic
676#11929625—44no—
677#11929625—44no—
678#11929625—44no—
679#11929625—44no—
680#11929624—48no—
681#11929624—48no—
682#11929624—48no—
683#11929624—42no—
684#11929624—42no—
685#11929623—48no—
686#11929623—44no—
687#11929623—44no—
688C2×Dic158C2412yes—
689C2×Dic158C2414yes—
690C2×Dic158C2414yes—
691C2×Dic158C2414yes—
692C2×Dic158C2414yes—
693C2×Dic158C2411yescharacteristic
694C2×Dic158C2411yescharacteristic
695Q8×D79—44no—
696Q8×D79—48no—
697C2×D316C2412yes—
698C2×D316C2411yescharacteristic
699C2×D316C2414yes—
700C2×D316C2414yes—
701C2×D316C2411yescharacteristic
702C2×D316C2414yes—
703C2×D316C2412yes—
704C2×D316C2412yes—
705C2×D316C2414yes—
706C2×D316C2414yes—
707C2×D316C2412yes—
708C2×D316C2412yes—
709C2×D316C2412yes—
710C2×D316C2412yes—
711C2×D316C2414yes—
712C2×C22⋊D79C2414yes—
713C2×C22⋊D79C2414yes—
714C2×C22⋊D79C2414yes—
715C2×C22⋊D79C2414yes—
716C2×C22⋊D79C2414yes—
717C2×C22⋊D79C2411yescharacteristic
718C2×C22⋊D79C2414yes—
719C2×C22⋊D79C2412yes—
720C2×C22⋊D79C2414yes—
721C2×C22⋊D79C2411yescharacteristic
722C2×C22⋊D79C2414yes—
723C2×C22⋊D79C2414yes—
724D4×D79—48no—
725D4×D79—44no—
726C22×Dic79C2412yes—
727C22×Dic79C2414yes—
728C22×Dic79C2414yes—
729C22×Dic79C2414yes—
730C22×Dic79C2411yescharacteristic
731C2×C4×D79—42no—
732C2×C4×D79—44no—
733C2×C4×D79C2411yescharacteristic
734C2×C4×D79C2412yes—
735C2×C4×D79C2412yes—
736C2×C4×D79C2412yes—
737C2×C4×D79C2412yes—
738C2×C4×D79C2412yes—
739C2×C4×D79C2412yes—
740C2×C4×D79C2411yescharacteristic
741C2×C4×D79C2412yes—
742C2×C4×D79C2412yes—
743C2×C4×D79C2414yes—
744C2×C4×D79C2414yes—
745C2×C4×D79C2414yes—
746C2×C4×D79C2414yes—
747C2×C4×D79C2414yes—
748C2×C4×D79C2414yes—
749C2×C4×D79C2414yes—
750C2×C4×D79C2414yes—
751C2×C4×D79C2414yes—
752C2×C4×D79C2412yes—
753C2×C4×D79C2412yes—
754C2×C4×D79C2412yes—
755C4⋊Dic79C2412yes—
756C4⋊Dic79C2414yes—
757C4⋊Dic79C2414yes—
758C4⋊Dic79C2412yes—
759C4⋊Dic79C2412yes—
760C4⋊Dic79C2414yes—
761C4⋊Dic79C2414yes—
762C4⋊Dic79C2414yes—
763C4⋊Dic79C2412yes—
764C4⋊Dic79C2412yes—
765C4⋊Dic79C2412yes—
766C4⋊Dic79C2412yes—
767C4⋊Dic79C2412yes—
768C4⋊Dic79C2414yes—
769Dic79⋊C4C2412yes—
770Dic79⋊C4C2414yes—
771Dic79⋊C4C2414yes—
772Dic79⋊C4C2414yes—
773Dic79⋊C4C2414yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2414yes—
776Dic79⋊C4C2414yes—
777Dic79⋊C4C2414yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2414yes—
780Dic79⋊C4C2414yes—
781Dic79⋊C4C2414yes—
782Dic79⋊C4C2412yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2414yes—
785Dic79⋊C4C2412yes—
786Dic79⋊C4C2412yes—
787Dic79⋊C4C2414yes—
788Dic79⋊C4C2414yes—
789Dic79⋊C4C2414yes—
790Dic79⋊C4C2414yes—
791C22⋊Dic79C2414yes—
792C22⋊Dic79C2414yes—
793C22⋊Dic79C2414yes—
794C22⋊Dic79C2414yes—
795C22⋊Dic79C2414yes—
796(C2×D79)⋊C4C2412yes—
797(C2×D79)⋊C4C2412yes—
798(C2×D79)⋊C4C2412yes—
799(C2×D79)⋊C4C2414yes—
800(C2×D79)⋊C4C2414yes—
801(C2×D79)⋊C4C2414yes—
802(C2×D79)⋊C4C2414yes—
803(C2×D79)⋊C4C2414yes—
804(C2×D79)⋊C4C2414yes—
805(C2×D79)⋊C4C2414yes—
806(C2×D79)⋊C4C2414yes—
807(C2×D79)⋊C4C2414yes—
808(C2×D79)⋊C4C2412yes—
809(C2×D79)⋊C4C2414yes—
810(C2×D79)⋊C4C2412yes—
811(C2×D79)⋊C4C2412yes—
812(C2×D79)⋊C4C2414yes—
813(C2×D79)⋊C4C2414yes—
814(C2×D79)⋊C4C2412yes—
815(C2×D79)⋊C4C2412yes—
816(C2×D79)⋊C4C2414yes—
817(C2×D79)⋊C4C2414yes—
818(C2×D79)⋊C4C2414yes—
819(C2×D79)⋊C4C2414yes—
820(C2×D79)⋊C4C2412yes—
821(C2×D79)⋊C4C2412yes—
822(C2×D79)⋊C4C2414yes—
823(C2×D79)⋊C4C2414yes—
824(C2×D79)⋊C4C2414yes—
825(C2×D79)⋊C4C2412yes—
826(C2×D79)⋊C4C2412yes—
827(C2×D79)⋊C4C2414yes—
828(C2×D79)⋊C4C2414yes—
829(C2×D79)⋊C4C2412yes—
830(C2×D79)⋊C4C2412yes—
831(C2×D79)⋊C4C2414yes—
832(C2×D79)⋊C4C2412yes—
833(C2×D79)⋊C4C2412yes—
834C4×Dic79C2411yescharacteristic
835C4×Dic79C2412yes—
836C4×Dic79C2412yes—
837C4×Dic79C2411yescharacteristic
838C4×Dic79C2412yes—
839C4×Dic79C2412yes—
840C4×Dic79C2412yes—
841C4×Dic79C2414yes—
842C4×Dic79C2414yes—
843C4×Dic79C2412yes—
844C4×Dic79C2412yes—
845C4×Dic79C2412yes—
846C4×Dic79C2412yes—
847C4×Dic79C2414yes—
848C4×Dic79C2414yes—
849C4×Dic79C2414yes—
850C4×Dic79C2414yes—
851C4×Dic79C2414yes—
852C4×Dic79C2414yes—
853C4×Dic79C2414yes—
854C2×Q8×C79C2412yes—
855C2×Q8×C79C2414yes—
856C2×Q8×C79C2412yes—
857C2×Q8×C79C2412yes—
858C2×D4×C79C2412yes—
859C2×D4×C79C2414yes—
860C2×D4×C79C2414yes—
861C22×C4×C79C2411yescharacteristic
862C22×C4×C79C2414yes—
863C22×C4×C79C2414yes—
864C22×C4×C79C2414yes—
865C22×C4×C79C2412yes—
866C4⋊C4×C79C2412yes—
867C4⋊C4×C79C2414yes—
868C4⋊C4×C79C2414yes—
869C4⋊C4×C79C2414yes—
870C4⋊C4×C79C2412yes—
871C4⋊C4×C79C2414yes—
872C4⋊C4×C79C2412yes—
873C4⋊C4×C79C2414yes—
874C4⋊C4×C79C2412yes—
875C4⋊C4×C79C2412yes—
876C4⋊C4×C79C2412yes—
877C4⋊C4×C79C2412yes—
878C4⋊C4×C79C2414yes—
879C4⋊C4×C79C2412yes—
880C4⋊C4×C79C2414yes—
881C4⋊C4×C79C2412yes—
882C4⋊C4×C79C2414yes—
883C4⋊C4×C79C2412yes—
884C4⋊C4×C79C2414yes—
885C4⋊C4×C79C2414yes—
886C22⋊C4×C79C2414yes—
887C22⋊C4×C79C2412yes—
888C22⋊C4×C79C2414yes—
889C22⋊C4×C79C2411yescharacteristic
890C22⋊C4×C79C2411yescharacteristic
891C22⋊C4×C79C2414yes—
892C22⋊C4×C79C2414yes—
893C22⋊C4×C79C2414yes—
894C22⋊C4×C79C2414yes—
895C22⋊C4×C79C2414yes—
896C22⋊C4×C79C2414yes—
897C22⋊C4×C79C2414yes—
898C42×C79C2411yescharacteristic
899C42×C79C2412yes—
900C42×C79C2411yescharacteristic
901C42×C79C2414yes—
902C42×C79C2411yescharacteristic
903C42×C79C2412yes—
904C42×C79C2411yescharacteristic
905C42×C79C2414yes—
906C42×C79C2414yes—
907C23×C79C2514yes—
908C23×C79C2511yescharacteristic
909C22×D79—41no—
910C22×D79—42no—
911C22×D79—44no—
912C22×D79—44no—
913C22×D79—44no—
914C22×D79C2511yescharacteristic
915C22×D79C2514yes—
916C22×D79C2512yes—
917C22×D79C2512yes—
918C22×D79C2511yescharacteristic
919Q8×C79—24no—
920Q8×C79—44no—
921Q8×C79—42no—
922Q8×C79—42no—
923D4×C79—24no—
924D4×C79—44no—
925D4×C79—44no—
926C2×C4×C79—22no—
927C2×C4×C79—42no—
928C2×C4×C79—44no—
929C2×C4×C79—44no—
930C2×C4×C79—44no—
931C2×C4×C79C2512yes—
932C2×C4×C79C2512yes—
933C2×C4×C79C2514yes—
934C2×C4×C79C2512yes—
935C2×C4×C79C2514yes—
936C2×C4×C79C2512yes—
937C2×C4×C79C2511yescharacteristic
938C2×C4×C79C2512yes—
939C2×C4×C79C2512yes—
940C2×C4×C79C2514yes—
941C2×C4×C79C2511yescharacteristic
942C22⋊D79—28no—
943C22⋊D79—28no—
944C22⋊D79—44no—
945C22⋊D79—44no—
946C22⋊D79—44no—
947C22⋊D79—44no—
948C22⋊D79—41no—
949C22⋊D79—44no—
950C22⋊D79—44no—
951C22⋊D79—44no—
952C22⋊D79—41no—
953C22⋊D79—42no—
954C2×Dic79—24no—
955C2×Dic79—41no—
956C2×Dic79—44no—
957C2×Dic79—44no—
958C2×Dic79—44no—
959C2×Dic79C2512yes—
960C2×Dic79C2512yes—
961C2×Dic79C2511yescharacteristic
962C2×Dic79C2511yescharacteristic
963C2×Dic79C2514yes—
964C2×Dic79C2514yes—
965C2×Dic79C2514yes—
966C2×Dic79C2512yes—
967C2×Dic79C2512yes—
968D316—24no—
969D316—44no—
970D316—41no—
971D316—41no—
972D316—44no—
973D316—44no—
974D316—44no—
975D316—42no—
976D316—42no—
977D316—42no—
978D316—42no—
979D316—42no—
980D316—44no—
981D316—44no—
982D316—42no—
983C4×D79—24no—
984C4×D79—22no—
985C4×D79—22no—
986C4×D79—24no—
987C4×D79—24no—
988C4×D79—24no—
989C4×D79—24no—
990C4×D79—24no—
991C4×D79—24no—
992C4×D79—24no—
993C4×D79—42no—
994C4×D79—42no—
995C4×D79—42no—
996C4×D79—44no—
997C4×D79—44no—
998C4×D79—44no—
999C4×D79—44no—
1000C4×D79—44no—
1001C4×D79—44no—
1002C4×D79—44no—
1003C4×D79—44no—
1004C4×D79—44no—
1005Dic158—24no—
1006Dic158—28no—
1007Dic158—28no—
1008Dic158—44no—
1009Dic158—44no—
1010Dic158—41no—
1011Dic158—41no—
1012C22×C79—24no—
1013C22×C79—24no—
1014C22×C79—21no—
1015C22×C79—24no—
1016C22×C79—22no—
1017C22×C79C2611yescharacteristic
1018C2×D79—24no—
1019C2×D79—24no—
1020C2×D79—22no—
1021C2×D79—22no—
1022C2×D79—22no—
1023C2×D79—22no—
1024C2×D79—22no—
1025C2×D79—21no—
1026C2×D79—24no—
1027C2×D79—21no—
1028C2×D79—22no—
1029C2×D79—22no—
1030C2×D79—22no—
1031C2×D79—44no—
1032C2×D79—164no—
1033C4×C79—21no—
1034C4×C79—22no—
1035C4×C79—24no—
1036C4×C79—22no—
1037C4×C79—22no—
1038C4×C79—24no—
1039C4×C79—22no—
1040C4×C79—22no—
1041C4×C79—24no—
1042C4×C79—22no—
1043C4×C79#58512yes—
1044Dic79—21no—
1045Dic79—24no—
1046Dic79—24no—
1047Dic79—24no—
1048Dic79—21no—
1049Dic79—22no—
1050Dic79—22no—
1051Dic79—22no—
1052Dic79#58514yes—
1053#62839—791nomaximal, Sylow
1054C2×C79—41no—
1055C2×C79—44no—
1056C2×C79C2×#58512yes—
1057C2×C79C2×#58511yescharacteristic
1058D79—42no—
1059D79—41no—
1060D79—42no—
1061D79—44no—
1062D79—41no—
1063#3557—794no—
1064#3557—791no—
1065#3557D7911yescharacteristic, complemented
1066#3551—794no—
1067#3551—792no—
1068#3540—794no—
1069#3540—792no—
1070#3539—791no—
1071#3539—791no—
1072#3539—794no—
1073#3524—792no—
1074#3524—792no—
1075#3524—794no—
1076#3524—794no—
1077#3521—792no—
1078#3521—792no—
1079#3521—794no—
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#563C2×D7914yescomplemented
1094H(3,𝔽4)—794no—
1095#560—794no—
1096#560—794no—
1097#560—794no—
1098#560—794no—
1099#559—794no—
1100#559—794no—
1101#559—794no—
1102#559—794no—
1103#559—792no—
1104#559—794no—
1105#559C2×D7912yescomplemented
1106#557—794no—
1107#557—794no—
1108#557—792no—
1109#557C2×D7912yescomplemented
1110#556—792no—
1111#556—794no—
1112#556—794no—
1113#556—794no—
1114#556—794no—
1115#556—792no—
1116#556—792no—
1117#556C2×D7912yescomplemented
1118#555—792no—
1119#555—794no—
1120#555—794no—
1121#555—794no—
1122#555—792no—
1123#555—794no—
1124#555—794no—
1125#554—794no—
1126#554—794no—
1127#554—792no—
1128#554C2×D7912yescomplemented
1129#553—794no—
1130#553—794no—
1131#553—794no—
1132#553—794no—
1133#553—794no—
1134#553—792no—
1135#553—792no—
1136#553—794no—
1137#553—794no—
1138#553—794no—
1139#553—794no—
1140#553—792no—
1141#553—792no—
1142#553—794no—
1143#552—794no—
1144#552—794no—
1145#552—794no—
1146#552—794no—
1147#552—794no—
1148#552—794no—
1149#552—792no—
1150#552—792no—
1151#552—794no—
1152#552—794no—
1153#552—794no—
1154#552—792no—
1155#552—792no—
1156#552C2×D7914yescomplemented
1157#551—794no—
1158#551—794no—
1159#551—794no—
1160#551—794no—
1161#551—794no—
1162#551—794no—
1163#550—792no—
1164#550—794no—
1165#550—792no—
1166#550—794no—
1167#548—794no—
1168#548—792no—
1169#548—792no—
1170#548—794no—
1171#548—794no—
1172#548—794no—
1173#548—792no—
1174#548—792no—
1175#547—792no—
1176#547—794no—
1177#547—792no—
1178#547—794no—
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—792no—
1188#542—794no—
1189#542—794no—
1190#542—794no—
1191#542—794no—
1192#542—794no—
1193#542—792no—
1194#542—794no—
1195#542—794no—
1196#542—794no—
1197#542—794no—
1198#542—792no—
1199#542C2×D7912yescomplemented
1200#542C2×D7914yescomplemented
1201#541—791no—
1202#541—794no—
1203#541—794no—
1204#541—791no—
1205#541—791no—
1206#541C2×D7911yescharacteristic, complemented
1207#540—791no—
1208#540—791no—
1209#540—794no—
1210#540—794no—
1211#540—794no—
1212#540—794no—
1213#540—794no—
1214#540—794no—
1215#540—794no—
1216#540—794no—
1217#540—791no—
1218#540C2×D7911yescharacteristic
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#537—792no—
1235#536—794no—
1236#536—792no—
1237#535—794no—
1238#535—792no—
1239#533—792no—
1240#533—792no—
1241#533—791no—
1242#533—791no—
1243#533—792no—
1244#533—792no—
1245#533—792no—
1246#533—792no—
1247#533C2×D7911yescharacteristic, complemented
1248#532—792no—
1249#532—792no—
1250#532—792no—
1251#532—792no—
1252#532—792no—
1253#532—792no—
1254#532—792no—
1255#532—791no—
1256C2×C4⋊Q8—791no—
1257C2×C4⋊Q8—792no—
1258C2×#127—791no—
1259#529—794no—
1260#529—794no—
1261#529—792no—
1262#529—792no—
1263#529—792no—
1264#529—794no—
1265#529—792no—
1266#529—794no—
1267#529—794no—
1268#529—792no—
1269#529—792no—
1270#529—794no—
1271#529—792no—
1272#529—792no—
1273#529—794no—
1274#529—794no—
1275#529—794no—
1276#529—794no—
1277#529—792no—
1278#529C2×D7912yescomplemented
1279C2×#126—794no—
1280C2×#126—794no—
1281#525—794no—
1282#525—792no—
1283#525—792no—
1284#525—792no—
1285#525—792no—
1286#525—794no—
1287#525—791no—
1288#525—791no—
1289#520—792no—
1290#520—792no—
1291#520—794no—
1292#520—794no—
1293#519—794no—
1294#519—792no—
1295#518—794no—
1296#518—792no—
1297C4×#41—792no—
1298C4×#41—792no—
1299C4×#41—792no—
1300C4×#41—792no—
1301C4×#41—794no—
1302C4×#41—791no—
1303C4×#41—791no—
1304C4×#41—794no—
1305C22×C42—791no—
1306C2×#41—792no—
1307C2×#41—792no—
1308C2×#41—792no—
1309C2×#41—792no—
1310C2×#41—792no—
1311C2×#41—794no—
1312C2×#41—792no—
1313C2×#41—791no—
1314C2×#41—791no—
1315C2×#41—794no—
1316C2×#41—794no—
1317C2×#41—794no—
1318C22×Q8—792no—
1319C22×Q8—794no—
1320C22×D4—792no—
1321C22×D4—794no—
1322C23×C4—791no—
1323C23×C4—792no—
1324C4⋊Q8—792no—
1325C4⋊Q8—794no—
1326C4⋊Q8—794no—
1327C4⋊Q8—792no—
1328C4⋊Q8—792no—
1329C4⋊Q8—794no—
1330C4⋊Q8—794no—
1331C4⋊Q8—794no—
1332C4⋊Q8—791no—
1333C4⋊Q8—792no—
1334C4⋊Q8—791no—
1335C4⋊Q8C22×D7911yescharacteristic
1336C4⋊Q8C22×D7912yes—
1337C4⋊Q8C22×D7912yes—
1338C4⋊Q8C22×D7914yes—
1339#127—792no—
1340#127—794no—
1341#127—794no—
1342#127—794no—
1343#127—791no—
1344#127—791no—
1345#127—794no—
1346#127C22×D7911yescharacteristic
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—792no—
1359#126—792no—
1360#126—794no—
1361#126—794no—
1362#126—794no—
1363#126—794no—
1364#126—794no—
1365#126—794no—
1366#126—794no—
1367#126—794no—
1368#126—794no—
1369#126—794no—
1370#126—794no—
1371#126—794no—
1372#126—794no—
1373#126—794no—
1374#126C22×D7914yes—
1375#126C22×D7914yes—
1376#126C22×D7914yes—
1377#126C22×D7914yes—
1378#126C22×D7914yes—
1379#125—792no—
1380#125—792no—
1381#125—794no—
1382#125—794no—
1383#125—794no—
1384#125—794no—
1385#125—794no—
1386#125—794no—
1387#125—794no—
1388#125—794no—
1389#125—794no—
1390#125—794no—
1391#125—794no—
1392#125—794no—
1393#125—794no—
1394#125—792no—
1395#125—791no—
1396#125—791no—
1397#125C22×D7912yes—
1398#125C22×D7912yes—
1399#125C22×D7914yes—
1400#125C22×D7911yescharacteristic
1401#125C22×D7911yescharacteristic
1402#125C22×D7914yes—
1403#125C22×D7914yes—
1404#124—792no—
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—794no—
1418#124—794no—
1419#124—794no—
1420#124—794no—
1421#124—794no—
1422#124—794no—
1423#124—792no—
1424#124—791no—
1425#124—791no—
1426#124—794no—
1427#124—792no—
1428#124—794no—
1429#124—794no—
1430#124C22×D7912yes—
1431#124C22×D7912yes—
1432#124C22×D7914yes—
1433#124C22×D7914yes—
1434#123—794no—
1435#123—794no—
1436#123—794no—
1437#123—794no—
1438#123—794no—
1439#123—794no—
1440#123—792no—
1441#123—792no—
1442#123—792no—
1443#123—792no—
1444#123—794no—
1445#123—794no—
1446#123—794no—
1447#123—794no—
1448#123—794no—
1449#123—794no—
1450#123—794no—
1451#123—794no—
1452#123—794no—
1453#123—794no—
1454#123—794no—
1455#123—794no—
1456#123—794no—
1457#123—794no—
1458#123—794no—
1459#123—794no—
1460#123—791no—
1461#123—792no—
1462#123—791no—
1463#123—794no—
1464#123—794no—
1465#123—794no—
1466#123—794no—
1467#123—794no—
1468#123—794no—
1469#123—794no—
1470#123—794no—
1471#123—794no—
1472#123C22×D7914yes—
1473#123C22×D7914yes—
1474#123C22×D7914yes—
1475#123C22×D7914yes—
1476#123C22×D7914yes—
1477C22⋊Q8—792no—
1478C22⋊Q8—792no—
1479C22⋊Q8—792no—
1480C22⋊Q8—794no—
1481C22⋊Q8—792no—
1482C22⋊Q8—792no—
1483C22⋊Q8—794no—
1484C22⋊Q8—794no—
1485C22⋊Q8—792no—
1486C22⋊Q8—794no—
1487C22⋊Q8—794no—
1488C22⋊Q8—792no—
1489C22⋊Q8—792no—
1490C22⋊Q8—794no—
1491C22⋊Q8—792no—
1492C22⋊Q8—794no—
1493C22⋊Q8—794no—
1494C22⋊Q8—794no—
1495C22⋊Q8—794no—
1496C22⋊Q8—792no—
1497C22⋊Q8—794no—
1498C22⋊Q8—794no—
1499C22⋊Q8—792no—
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⋊Q8C22×D7912yes—
1510C22⋊Q8C22×D7912yes—
1511C22⋊Q8C22×D7912yes—
1512C22⋊Q8C22×D7914yes—
1513C22⋊Q8C22×D7914yes—
1514C22⋊Q8C22×D7914yes—
1515C22⋊Q8C22×D7914yes—
1516C22⋊Q8C22×D7914yes—
1517#121—792no—
1518#121—794no—
1519#121—794no—
1520#121—794no—
1521#121—792no—
1522#121—792no—
1523#121—794no—
1524#121—794no—
1525#121—794no—
1526#121—792no—
1527#121—792no—
1528#121—792no—
1529#121—794no—
1530#121—794no—
1531#121—794no—
1532#121—794no—
1533#121—792no—
1534#121—792no—
1535#121—792no—
1536#121—792no—
1537#121—792no—
1538#121—794no—
1539#121—794no—
1540#121—792no—
1541#121—792no—
1542#121—794no—
1543#121—794no—
1544#121—794no—
1545#121—794no—
1546#121—794no—
1547#121—794no—
1548#121—794no—
1549#121—794no—
1550#121—794no—
1551#121—794no—
1552#121—794no—
1553#121—794no—
1554#121—794no—
1555#121—794no—
1556#121—794no—
1557#121—794no—
1558#121—794no—
1559#121—794no—
1560#121—794no—
1561#121—794no—
1562#121—794no—
1563#121—794no—
1564#121—794no—
1565#121—794no—
1566#121—794no—
1567#121C22×D7912yes—
1568#121C22×D7914yes—
1569#120—794no—
1570#120—794no—
1571#120—791no—
1572#120—792no—
1573#120—794no—
1574#120—791no—
1575#120—794no—
1576#120—794no—
1577#120—794no—
1578#120—794no—
1579#120—794no—
1580C4×Q8—792no—
1581C4×Q8—792no—
1582C4×Q8—792no—
1583C4×Q8—794no—
1584C4×Q8—794no—
1585C4×Q8—792no—
1586C4×Q8—794no—
1587C4×Q8—794no—
1588C4×Q8—792no—
1589C4×Q8—792no—
1590C4×Q8—794no—
1591C4×Q8—794no—
1592C4×Q8—794no—
1593C4×Q8—794no—
1594C4×Q8—794no—
1595C4×Q8—792no—
1596C4×Q8—794no—
1597C4×Q8—794no—
1598C4×Q8—794no—
1599C4×Q8—792no—
1600C4×Q8—794no—
1601C4×Q8—792no—
1602C4×Q8C22×D7912yes—
1603C4×Q8C22×D7912yes—
1604C4×Q8C22×D7912yes—
1605C4×Q8C22×D7914yes—
1606C4×Q8C22×D7912yes—
1607C4×Q8C22×D7912yes—
1608C4×D4—792no—
1609C4×D4—794no—
1610C4×D4—794no—
1611C4×D4—794no—
1612C4×D4—794no—
1613C4×D4—794no—
1614C4×D4—794no—
1615C4×D4—794no—
1616C4×D4—794no—
1617C4×D4—794no—
1618C4×D4—794no—
1619C4×D4—794no—
1620C4×D4—792no—
1621C4×D4—794no—
1622C4×D4—794no—
1623C4×D4—792no—
1624C4×D4—792no—
1625C4×D4—792no—
1626C4×D4—792no—
1627C4×D4—794no—
1628C4×D4—792no—
1629C4×D4—792no—
1630C4×D4—792no—
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—792no—
1640C4×D4—792no—
1641C4×D4—792no—
1642C4×D4—792no—
1643C4×D4—794no—
1644C4×D4—794no—
1645C4×D4—794no—
1646C4×D4—794no—
1647C4×D4—794no—
1648C4×D4—794no—
1649C4×D4—794no—
1650C4×D4—794no—
1651C4×D4—794no—
1652C4×D4—794no—
1653C4×D4—792no—
1654C4×D4—792no—
1655C4×D4—792no—
1656C4×D4—792no—
1657C4×D4—794no—
1658C4×D4—792no—
1659C4×D4—792no—
1660C4×D4—792no—
1661C4×D4—794no—
1662C4×D4—792no—
1663C4×D4—794no—
1664C4×D4—794no—
1665C4×D4—794no—
1666C4×D4—792no—
1667C4×D4C22×D7914yes—
1668C4×D4C22×D7912yes—
1669C4×D4C22×D7914yes—
1670C4×D4C22×D7912yes—
1671C4×D4C22×D7912yes—
1672#117—794no—
1673#117—792no—
1674#117—792no—
1675#117—792no—
1676#117—792no—
1677#117—792no—
1678#117—792no—
1679#117—792no—
1680#117—792no—
1681#117—794no—
1682#117—794no—
1683#117—792no—
1684#117—794no—
1685#117—794no—
1686#117—794no—
1687#117—792no—
1688#117—794no—
1689#117—794no—
1690#117—794no—
1691#117—794no—
1692#117—794no—
1693#117—794no—
1694#117—791no—
1695#117—791no—
1696#117—792no—
1697#117—794no—
1698#117—794no—
1699#117—794no—
1700#117—794no—
1701#117—794no—
1702#117—794no—
1703#117—794no—
1704#117—794no—
1705#117C22×D7911yescharacteristic
1706#117C22×D7911yescharacteristic
1707#117C22×D7914yes—
1708#117C22×D7914yes—
1709C2×C4⋊C4—794no—
1710C2×C4⋊C4—794no—
1711C2×C4⋊C4—794no—
1712C2×C4⋊C4—794no—
1713C2×C4⋊C4—794no—
1714C2×C4⋊C4—792no—
1715C2×C4⋊C4—792no—
1716C2×C4⋊C4—794no—
1717C2×C4⋊C4—794no—
1718C2×C4⋊C4C22×D7914yes—
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—791no—
1728C2×C42—794no—
1729C2×C42—791no—
1730C2×C42—792no—
1731C2×C42—791no—
1732C2×C42—792no—
1733C2×C42—792no—
1734C2×C42—792no—
1735C2×C42—792no—
1736C2×C42C22×D7911yescharacteristic
1737C24—794no—
1738C24—791no—
1739#41—3162no—
1740#41—3162no—
1741#41—3168no—
1742#41—3168no—
1743#41—3168no—
1744#41—3164no—
1745#41—3164no—
1746#41—3168no—
1747#41—3164no—
1748#41—3164no—
1749#41—3164no—
1750#41—3164no—
1751C2×Q8—3164no—
1752C2×Q8—3168no—
1753C2×Q8—791no—
1754C2×Q8—794no—
1755C2×Q8—794no—
1756C2×Q8—791no—
1757C2×Q8—794no—
1758C2×Q8—794no—
1759C2×Q8—792no—
1760C2×Q8C23×D7912yes—
1761C2×Q8C23×D7912yes—
1762C2×Q8C23×D7914yes—
1763C2×Q8C23×D7912yes—
1764C2×D4—3164no—
1765C2×D4—3168no—
1766C2×D4—791no—
1767C2×D4—794no—
1768C2×D4—794no—
1769C2×D4—794no—
1770C2×D4—792no—
1771C2×D4—794no—
1772C2×D4—794no—
1773C2×D4—794no—
1774C2×D4—791no—
1775C2×D4—794no—
1776C2×D4—794no—
1777C2×D4—794no—
1778C2×D4—792no—
1779C2×D4—792no—
1780C2×D4—791no—
1781C2×D4—794no—
1782C2×D4—794no—
1783C2×D4—792no—
1784C2×D4—792no—
1785C2×D4—794no—
1786C2×D4—794no—
1787C2×D4—794no—
1788C2×D4—792no—
1789C2×D4—792no—
1790C2×D4—791no—
1791C2×D4—794no—
1792C2×D4—792no—
1793C2×D4C23×D7912yes—
1794C2×D4C23×D7914yes—
1795C2×D4C23×D7914yes—
1796C22×C4—3162no—
1797C22×C4—3164no—
1798C22×C4—791no—
1799C22×C4—794no—
1800C22×C4—794no—
1801C22×C4—794no—
1802C22×C4—792no—
1803C22×C4—792no—
1804C22×C4—792no—
1805C22×C4—794no—
1806C22×C4—794no—
1807C22×C4—794no—
1808C22×C4—794no—
1809C22×C4—794no—
1810C22×C4—794no—
1811C22×C4—794no—
1812C22×C4—794no—
1813C22×C4—794no—
1814C22×C4—792no—
1815C22×C4—792no—
1816C22×C4—792no—
1817C22×C4—792no—
1818C22×C4—792no—
1819C22×C4—792no—
1820C22×C4—792no—
1821C22×C4—792no—
1822C22×C4—791no—
1823C22×C4—792no—
1824C22×C4—791no—
1825C22×C4C23×D7911yescharacteristic
1826C22×C4C23×D7912yes—
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—794no—
1847C4⋊C4—794no—
1848C4⋊C4—794no—
1849C4⋊C4—794no—
1850C4⋊C4—794no—
1851C4⋊C4—794no—
1852C4⋊C4—792no—
1853C4⋊C4—794no—
1854C4⋊C4—794no—
1855C4⋊C4—792no—
1856C4⋊C4—792no—
1857C4⋊C4—794no—
1858C4⋊C4—794no—
1859C4⋊C4—794no—
1860C4⋊C4—792no—
1861C4⋊C4—792no—
1862C4⋊C4—792no—
1863C4⋊C4—792no—
1864C4⋊C4—792no—
1865C4⋊C4—794no—
1866C4⋊C4C23×D7912yes—
1867C4⋊C4C23×D7914yes—
1868C4⋊C4C23×D7914yes—
1869C4⋊C4C23×D7912yes—
1870C4⋊C4C23×D7912yes—
1871C4⋊C4C23×D7914yes—
1872C4⋊C4C23×D7914yes—
1873C4⋊C4C23×D7914yes—
1874C4⋊C4C23×D7912yes—
1875C4⋊C4C23×D7912yes—
1876C4⋊C4C23×D7912yes—
1877C4⋊C4C23×D7912yes—
1878C4⋊C4C23×D7914yes—
1879C4⋊C4C23×D7912yes—
1880C4⋊C4C23×D7914yes—
1881C4⋊C4C23×D7914yes—
1882C4⋊C4C23×D7914yes—
1883C4⋊C4C23×D7912yes—
1884C4⋊C4C23×D7914yes—
1885C4⋊C4C23×D7912yes—
1886C22⋊C4—794no—
1887C22⋊C4—794no—
1888C22⋊C4—794no—
1889C22⋊C4—794no—
1890C22⋊C4—794no—
1891C22⋊C4—792no—
1892C22⋊C4—792no—
1893C22⋊C4—792no—
1894C22⋊C4—794no—
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—792no—
1904C22⋊C4—792no—
1905C22⋊C4—792no—
1906C22⋊C4—794no—
1907C22⋊C4—794no—
1908C22⋊C4—794no—
1909C22⋊C4—792no—
1910C22⋊C4—792no—
1911C22⋊C4—792no—
1912C22⋊C4—792no—
1913C22⋊C4—792no—
1914C22⋊C4—792no—
1915C22⋊C4—792no—
1916C22⋊C4—792no—
1917C22⋊C4—794no—
1918C22⋊C4—794no—
1919C22⋊C4—794no—
1920C22⋊C4—794no—
1921C22⋊C4—794no—
1922C22⋊C4—794no—
1923C22⋊C4—794no—
1924C22⋊C4—794no—
1925C22⋊C4—794no—
1926C22⋊C4—794no—
1927C22⋊C4—792no—
1928C22⋊C4—792no—
1929C22⋊C4C23×D7914yes—
1930C22⋊C4C23×D7914yes—
1931C22⋊C4C23×D7914yes—
1932C22⋊C4C23×D7914yes—
1933C22⋊C4C23×D7914yes—
1934C22⋊C4C23×D7914yes—
1935C22⋊C4C23×D7914yes—
1936C22⋊C4C23×D7912yes—
1937C22⋊C4C23×D7914yes—
1938C22⋊C4C23×D7914yes—
1939C22⋊C4C23×D7911yescharacteristic
1940C22⋊C4C23×D7911yescharacteristic
1941C42—792no—
1942C42—791no—
1943C42—792no—
1944C42—792no—
1945C42—791no—
1946C42—792no—
1947C42—792no—
1948C42—794no—
1949C42—794no—
1950C42—794no—
1951C42—794no—
1952C42—794no—
1953C42—792no—
1954C42—792no—
1955C42—792no—
1956C42—792no—
1957C42—794no—
1958C42—794no—
1959C42—794no—
1960C42—794no—
1961C42C23×D7911yescharacteristic
1962C42C23×D7912yes—
1963C42C23×D7911yescharacteristic
1964C42C23×D7914yes—
1965C42C23×D7911yescharacteristic
1966C42C23×D7912yes—
1967C42C23×D7911yescharacteristic
1968C42C23×D7914yes—
1969C42C23×D7914yes—
1970C23—3162no—
1971C23—3161no—
1972C23—3164no—
1973C23—3164no—
1974C23—3164no—
1975C23—791no—
1976C23—794no—
1977C23—792no—
1978C23—792no—
1979C23—791no—
1980C23C24×D7914yes—
1981C23C24×D7911yescharacteristic
1982Q8—24no—
1983Q8—44no—
1984Q8—42no—
1985Q8—42no—
1986Q8—3164no—
1987Q8—3164no—
1988Q8—3161no—
1989Q8—3161no—
1990Q8—1588no—
1991Q8—1588no—
1992Q8—1584no—
1993D4—24no—
1994D4—44no—
1995D4—44no—
1996D4—3164no—
1997D4—3162no—
1998D4—3162no—
1999D4—3164no—
2000D4—3164no—
2001D4—3164no—
2002D4—3162no—
2003D4—3162no—
2004D4—3162no—
2005D4—3162no—
2006D4—3161no—
2007D4—3161no—
2008D4—3164no—
2009D4—3164no—
2010D4—3164no—
2011D4—3164no—
2012D4—3164no—
2013D4—3164no—
2014D4—3164no—
2015D4—3162no—
2016D4—3164no—
2017D4—3164no—
2018D4—3161no—
2019D4—3161no—
2020D4—1588no—
2021D4—1588no—
2022D4—1584no—
2023C2×C4—22no—
2024C2×C4—42no—
2025C2×C4—44no—
2026C2×C4—44no—
2027C2×C4—44no—
2028C2×C4—3162no—
2029C2×C4—3162no—
2030C2×C4—3162no—
2031C2×C4—3164no—
2032C2×C4—3164no—
2033C2×C4—3164no—
2034C2×C4—3164no—
2035C2×C4—3164no—
2036C2×C4—3164no—
2037C2×C4—3164no—
2038C2×C4—3164no—
2039C2×C4—3164no—
2040C2×C4—3161no—
2041C2×C4—3164no—
2042C2×C4—3164no—
2043C2×C4—3164no—
2044C2×C4—792no—
2045C2×C4—792no—
2046C2×C4—792no—
2047C2×C4—791no—
2048C2×C4—791no—
2049C2×C4—794no—
2050C2×C4—794no—
2051C2×C4—794no—
2052C2×C4—792no—
2053C2×C4—1584no—
2054C2×C4—1584no—
2055C2×C4—1584no—
2056C2×C4—1584no—
2057C2×C4—1584no—
2058C2×C4—1584no—
2059C2×C4—1584no—
2060C2×C4—1584no—
2061C2×C4—1582no—
2062C2×C4—1582no—
2063C2×C4—1584no—
2064C2×C4C24×D7912yes—
2065C2×C4C24×D7912yes—
2066C2×C4C24×D7912yes—
2067C2×C4C24×D7914yes—
2068C2×C4C24×D7914yes—
2069C2×C4C24×D7912yes—
2070C2×C4C24×D7911yescharacteristic
2071C2×C4C24×D7914yes—
2072C2×C4C24×D7912yes—
2073C2×C4C24×D7912yes—
2074C2×C4C24×D7911yescharacteristic
2075C22—24no—
2076C22—24no—
2077C22—22no—
2078C22—21no—
2079C22—24no—
2080C22—3164no—
2081C22—1582no—
2082C22—1584no—
2083C22—1584no—
2084C22—1582no—
2085C22—1582no—
2086C22—1582no—
2087C22—1582no—
2088C22—1582no—
2089C22—1581no—
2090C22—1584no—
2091C22—1582no—
2092C22—1582no—
2093C22—1581no—
2094C22—12644no—
2095C22C25×D7911yescharacteristic
2096C4—22no—
2097C4—22no—
2098C4—22no—
2099C4—24no—
2100C4—24no—
2101C4—22no—
2102C4—22no—
2103C4—22no—
2104C4—21no—
2105C4—24no—
2106C4—794no—
2107C4—1582no—
2108C4—1584no—
2109C4—1584no—
2110C4—1582no—
2111C4—1582no—
2112C4—1584no—
2113C4—1581no—
2114C4—1581no—
2115C4#1909940012yes—
2116C2—41no—
2117C2—44no—
2118C2—3162no—
2119C2—3161no—
2120C2—3164no—
2121C2—3162no—
2122C2—3161no—
2123C2#585×D7912yes—
2124C2C2×#1909940011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3557C2
hypercenter#3557D79
hypocenterC79#62839
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #23777906C2semidirect
2. #23777900C2semidirect
3. #23777825C2semidirect
4. #23777822C2semidirect
5. #23777672C2semidirect
6. #23777665C2semidirect
7. #23777662C2semidirect
8. #23777659C2semidirect
9. #23777658C2semidirect
10. #23777512C2semidirect
11. #23777507C2semidirect
12. #23777506C2semidirect
13. #23777504C2semidirect
14. #23777471C2semidirect
15. #23777467C2semidirect
16. #23777458C2semidirect
17. #23777455C2semidirect
18. #23777308C2semidirect
19. #23777305C2semidirect
20. #23777304C2semidirect
21. #23777283C2semidirect
22. #23777282C2semidirect
23. #23777273C2semidirect
24. #23777272C2semidirect
25. #23776697C2semidirect
26. #23776694C2semidirect
27. C79×#3557C2semidirect
28. #19099315C22semidirect
29. #19099312C22semidirect
31. #19099304C22semidirect
32. #19099304C22semidirect
33. #19099303C22semidirect
34. #19099301C22semidirect
35. #19099298C22semidirect
36. #19099298C22semidirect
37. #19099297C22semidirect
38. #19099297C22semidirect
39. #19099295C22semidirect
40. #19099295C22semidirect
41. #19099291C22semidirect
42. #19099290C22semidirect
43. #19099288C22semidirect
46. #19099286C22semidirect
48. #19099284C22semidirect
50. #19099280C22semidirect
51. #19099279C22semidirect
52. #19099279C22semidirect
53. #19099278C22semidirect
54. #19099276C22semidirect
55. #19099276C22semidirect
56. #19099275C22semidirect
57. #19099275C22semidirect
58. #19099273C22semidirect
59. #19099271C22semidirect
60. #19099267C22semidirect
61. #19099266C22semidirect
62. #19099266C22semidirect
63. #19099266C22semidirect
64. #19099265C22semidirect
65. #19099264C22semidirect
66. #19099264C22semidirect
67. #19099264C22semidirect
68. #19099264C22semidirect
69. #19099264C22semidirect
70. #19099263C22semidirect
71. #19099263C22semidirect
72. #19099262C22semidirect
73. #19099261C22semidirect
74. #19099258C22semidirect
75. #19099255C22semidirect
76. #19099254C22semidirect
77. #19099254C22semidirect
78. #19099251C22semidirect
79. #19099251C22semidirect
80. #19099251C22semidirect
81. #19099250C22semidirect
82. #19099249C22semidirect
83. #19099249C22semidirect
84. #19099245C22semidirect
85. #19099245C22semidirect
86. #19099245C22semidirect
87. #19099245C22semidirect
89. #19099240C22semidirect
90. #19099240C22semidirect
92. #19099237C22semidirect
98. #19099225C22semidirect
99. #19099225C22semidirect
100. #19099223C22semidirect
101. #19099223C22semidirect
102. #19099223C22semidirect
103. #19099221C22semidirect
104. #19099221C22semidirect
105. #19099221C22semidirect
106. #19099217C22semidirect
107. #19099216C22semidirect
108. #19099214C22semidirect
109. #19099211C22semidirect
111. #19099208C22semidirect
113. #19099206C22semidirect
115. #19099205C22semidirect
116. #19099205C22semidirect
118. #19099187C22semidirect
119. #19099187C22semidirect
120. #19099186C22semidirect
121. #19099184C22semidirect
122. #19099183C22semidirect
123. #19099183C22semidirect
124. #19099183C22semidirect
125. #19099182C22semidirect
126. #19099179C22semidirect
127. #19099179C22semidirect
128. #19099179C22semidirect
129. #19099177C22semidirect
130. #19099176C22semidirect
131. #19099175C22semidirect
132. #19099174C22semidirect
133. #19099172C22semidirect
134. #19099172C22semidirect
135. #19099169C22semidirect
136. #19099169C22semidirect
137. #19099169C22semidirect
139. #19099167C22semidirect
141. #19099165C22semidirect
142. #19099165C22semidirect
143. #19099165C22semidirect
144. #19099165C22semidirect
145. #19099164C22semidirect
146. #19099162C22semidirect
147. #19099161C22semidirect
148. #19099159C22semidirect
149. #19099159C22semidirect
150. #19099157C22semidirect
157. #19099143C22semidirect
158. #19099143C22semidirect
159. #19099143C22semidirect
160. #19099142C22semidirect
165. #19099119C22semidirect
166. #19099119C22semidirect
167. #19099119C22semidirect
168. #19099118C22semidirect
169. #19099117C22semidirect
170. #19099117C22semidirect
171. #19099117C22semidirect
172. #19099115C22semidirect
176. #19099112C22semidirect
178. #19099110C22semidirect
179. #19099110C22semidirect
181. C4⋊Q8×D79C22semidirect
182. C4⋊Q8×D79C22semidirect
183. #127×D79C22semidirect
185. #19099100C22semidirect
186. #19099100C22semidirect
188. #19099099C22semidirect
189. #19099099C22semidirect
191. #19099098C22semidirect
192. #19099098C22semidirect
193. #19099098C22semidirect
194. #19099097C22semidirect
195. #19099096C22semidirect
196. #19099096C22semidirect
197. #19099093C22semidirect
198. #19099092C22semidirect
199. #19099091C22semidirect
200. #19099091C22semidirect
201. #19099090C22semidirect
202. #19099090C22semidirect
203. C2×#14579156C22semidirect
204. #126×D79C22semidirect
206. #19099076C22semidirect
207. #19099076C22semidirect
209. #19099075C22semidirect
210. #19099073C22semidirect
211. #19099072C22semidirect
212. #19099071C22semidirect
213. #19099045C22semidirect
214. #19099044C22semidirect
215. #19099043C22semidirect
216. #19099042C22semidirect
217. #19099039C22semidirect
218. #19099039C22semidirect
219. #19099035C22semidirect
220. #19099035C22semidirect
222. C4×#11929625C22semidirect
223. C4×#11929625C22semidirect
225. #19099031C22semidirect
226. #19099031C22semidirect
227. C4×#11929623C22semidirect
228. C4×#11929623C22semidirect
229. C2×C42×D79C22semidirect
230. #563×C79C22semidirect
231. #559×C79C22semidirect
232. #557×C79C22semidirect
233. #556×C79C22semidirect
234. #554×C79C22semidirect
235. #552×C79C22semidirect
236. #542×C79C22semidirect
237. #542×C79C22semidirect
238. #541×C79C22semidirect
240. #539×C79C22semidirect
241. #533×C79C22semidirect
242. #529×C79C22semidirect
1065. #3557D79semidirect
1090. C79#62839semidirect
1093. #563C2×D79semidirect
1105. #559C2×D79semidirect
1109. #557C2×D79semidirect
1117. #556C2×D79semidirect
1128. #554C2×D79semidirect
1156. #552C2×D79semidirect
1199. #542C2×D79semidirect
1200. #542C2×D79semidirect
1206. #541C2×D79semidirect
1224. #539C2×D79semidirect
1247. #533C2×D79semidirect
1278. #529C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779062
#237779002
#237778252
#237778222
#237776722
#237776652
#237776622
#237776592
#237776582
#237775122
#237775072
#237775062
#237775042
#237774712
#237774672
#237774582
#237774552
#237773082
#237773052
#237773042
#237772832
#237772822
#237772732
#237772722
#237766972
#237766942
C79×#35572
#6283979