Finite Group Databasebeta

← #35197265

Subgroups — #35197265

Order 20224.

6608 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778089C214yesmaximal, complemented
2#23778084C214yesmaximal, complemented
3#23777893C211yesmaximal, characteristic, complemented
4#23777795C212yesmaximal, complemented
5#23777794C211yesmaximal, characteristic, complemented
6#23777662C211yesmaximal, characteristic, complemented
7#23777659C211yesmaximal, characteristic, complemented
8#23777653C212yesmaximal, complemented
9#23777650C214yesmaximal, complemented
10#23777650C214yesmaximal, complemented
11#23777404C212yesmaximal, complemented
12#23777402C212yesmaximal, complemented
13#23777400C212yesmaximal, complemented
14#23777399C214yesmaximal, complemented
15#23777398C212yesmaximal, complemented
16#23777376C212yesmaximal, complemented
17#23777372C212yesmaximal, complemented
18#23777368C212yesmaximal, complemented
19#23777367C214yesmaximal, complemented
20#23777366C212yesmaximal, complemented
21#23777322C211yesmaximal, characteristic, complemented
22#23777318C214yesmaximal, complemented
23#23777316C214yesmaximal, complemented
24#23777315C212yesmaximal, complemented
25#23776694C212yesmaximal, complemented
26#23776693C211yesmaximal, characteristic, complemented
27C79×#3512C211yesmaximal, characteristic, complemented
28C79⋊#564C2214yescomplemented
29#19099310C2214yescomplemented
30#19099309C2214yescomplemented
31#19099308C2214yescomplemented
32#19099304C2214yes—
33#19099301C2214yes—
34#19099301C2214yes—
35#19099301C2214yes—
36#19099291C2212yescomplemented
37#19099290C2214yescomplemented
38#19099290C2212yescomplemented
39#19099289C2212yescomplemented
40#19099288C2212yescomplemented
41#19099272C2212yescomplemented
42#19099271C2212yescomplemented
43#19099269C2212yescomplemented
44#19099268C2212yescomplemented
45#19099267C2214yescomplemented
46#19099266C2212yes—
47#19099265C2214yes—
48#19099265C2212yes—
49#19099264C2214yes—
50#19099264C2214yes—
51#19099264C2214yes—
52#19099264C2214yescomplemented
53#19099264C2214yescomplemented
54#19099263C2214yes—
55#19099263C2214yes—
56#19099263C2212yes—
57#19099263C2214yescomplemented
58#19099262C2214yes—
59#19099262C2214yes—
60#19099262C2214yes—
61#19099262C2214yes—
62#19099262C2214yescomplemented
63#19099262C2214yescomplemented
64#19099261C2212yes—
65#19099261C2214yescomplemented
66#19099260C2214yes—
67#19099260C2214yescomplemented
68#19099259C2214yescomplemented
69#19099258C2214yes—
70#19099258C2214yes—
71#19099258C2214yescomplemented
72#19099257C2214yescomplemented
73#19099256C2214yes—
74#19099256C2214yescomplemented
75#19099255C2212yes—
76#19099254C2212yes—
77#19099254C2214yescomplemented
78#19099253C2214yescomplemented
79#19099252C2214yescomplemented
80#19099251C2212yes—
81#19099251C2214yescomplemented
82#19099250C2214yescomplemented
83#19099249C2214yescomplemented
84#19099249C2214yescomplemented
85#19099248C2212yes—
86#19099248C2214yescomplemented
87#19099246C2214yes—
88#19099246C2214yes—
89#19099246C2214yescomplemented
90#19099246C2214yescomplemented
91#19099245C2214yes—
92#19099245C2214yes—
93#19099245C2214yescomplemented
94#19099235C2212yes—
95#19099234C2214yes—
96#19099234C2214yes—
97#19099234C2212yescomplemented
98#19099233C2212yes—
99#19099233C2212yescomplemented
100#19099232C2212yes—
101#19099232C2212yescomplemented
102#19099231C2214yes—
103#19099231C2214yes—
104#19099231C2212yes—
105#19099231C2214yescomplemented
106#19099231C2212yescomplemented
107#19099217C2212yes—
108#19099216C2212yes—
109#19099215C2212yes—
110#19099215C2212yescomplemented
111#19099214C2214yes—
112#19099214C2214yes—
113#19099214C2212yescomplemented
114#19099213C2212yescomplemented
115#19099212C2212yes—
116#19099212C2212yescomplemented
117#19099211C2214yes—
118#19099211C2214yes—
119#19099211C2214yescomplemented
120#19099175C2211yescharacteristic
121#19099175C2211yescharacteristic, complemented
122#19099173C2212yes—
123#19099172C2214yescomplemented
124#19099171C2212yescomplemented
125#19099170C2214yes—
126#19099170C2214yes—
127#19099170C2214yescomplemented
128#19099169C2214yes—
129#19099168C2211yescharacteristic
130#19099168C2214yes—
131#19099168C2214yes—
132#19099168C2211yescharacteristic, complemented
133#19099166C2212yes—
134#19099166C2214yes—
135#19099165C2214yes—
136#19099165C2214yes—
137#19099165C2214yes—
138#19099165C2214yescomplemented
139#19099164C2214yes—
140#19099164C2214yes—
141#19099164C2212yescomplemented
142#19099163C2214yes—
143#19099163C2214yes—
144#19099163C2214yes—
145#19099163C2214yes—
146#19099163C2214yes—
147#19099163C2214yescomplemented
148#19099162C2214yes—
149#19099161C2214yes—
150#19099161C2214yes—
151#19099161C2214yes—
152#19099160C2214yes—
153#19099160C2214yes—
154#19099159C2214yes—
155#19099157C2214yes—
156#19099155C2214yes—
157#19099155C2214yes—
158#19099154C2214yes—
159#19099154C2214yes—
160#19099143C2212yes—
161#19099142C2214yes—
162#19099142C2212yes—
163#19099142C2214yes—
164#19099141C2212yes—
165#19099140C2214yes—
166#19099140C2214yes—
167#19099119C2212yes—
168#19099117C2212yes—
169#19099117C2212yes—
170#19099116C2211yescharacteristic
171#19099115C2212yes—
172#19099113C2211yescharacteristic, complemented
173#19099112C2212yes—
174#19099112C2212yescomplemented
175#19099110C2212yes—
176#19099110C2212yes—
177#19099110C2214yescomplemented
178#19099109C2211yescharacteristic
179#19099108C2212yes—
180#19099108C2214yescomplemented
181#19099100C2212yes—
182#19099098C2212yes—
183#19099098C2212yescomplemented
184#19099097C2212yes—
185#19099097C2212yescomplemented
186#19099096C2214yes—
187#19099096C2214yes—
188#19099096C2214yescomplemented
189#19099095C2212yes—
190#19099093C2212yes—
191#19099093C2212yes—
192#19099093C2214yescomplemented
193#19099092C2212yes—
194#19099092C2212yescomplemented
195#19099091C2214yes—
196#19099091C2212yes—
197#19099091C2212yes—
198#19099091C2214yescomplemented
199#19099090C2214yes—
200#19099090C2214yescomplemented
201C2×#14579153C2211yescharacteristic, complemented
202C2×#14579151C2214yescomplemented
203#125×D79C2212yescomplemented
204#125×D79C2214yescomplemented
205#19099076C2212yes—
206#19099075C2211yescharacteristic
207#19099073C2212yes—
208#19099072C2212yes—
209#19099072C2212yes—
210#19099072C2214yes—
211#19099071C2214yes—
212#19099070C2211yescharacteristic
213#19099045C2212yescomplemented
214#19099044C2214yescomplemented
215#19099043C2214yescomplemented
216#19099043C2212yescomplemented
217#19099042C2212yescomplemented
218#19099042C2214yescomplemented
219#19099042C2214yescomplemented
220C4×#11929625C2212yes—
221C4×#11929624C2211yescharacteristic
222C4×#11929624C2212yes—
223C4×#11929624C2212yes—
224#19099031C2214yes—
225C4×#11929623C2214yes—
226C4×#11929623C2212yes—
227C2×C42×D79C2211yescharacteristic
228#553×C79C2214yes—
229#553×C79C2214yes—
230#553×C79C2214yescomplemented
231#552×C79C2214yescomplemented
232#541×C79C2211yescharacteristic
233#541×C79C2211yescharacteristic, complemented
234#540×C79C2211yescharacteristic
235#540×C79C2211yescharacteristic, complemented
236#537×C79C2212yes—
237#532×C79C2211yescharacteristic, complemented
238#529×C79C2212yes—
239#529×C79C2212yescomplemented
240C2×#125×C79C2211yescharacteristic, complemented
241#520×C79C2212yescomplemented
242C4×#41×C79C2211yescharacteristic
243C2×#11929625C2312yes—
244C2×#11929625C2312yes—
245C2×#11929624C2312yes—
246C2×#11929624C2311yescharacteristic
247C2×#11929624C2314yes—
248C2×#11929624C2314yes—
249C2×#11929624C2312yes—
250C2×#11929624C2314yes—
251C2×#11929624C2312yes—
252C2×#11929623C2314yes—
253C2×#11929623C2314yes—
254C2×#11929623C2314yes—
255C2×#11929623C2312yes—
256C2×#11929623C2312yes—
257C22×C4×D79C2311yescharacteristic
258C22×C4×D79C2312yes—
259#14579161C2311yescharacteristic
260#14579160C2314yes—
261#14579160C2314yes—
262#14579160C2312yes—
263#14579160C2312yes—
264#14579160C2312yes—
265#14579159C2312yes—
266#14579159C2312yes—
267#14579159C2311yescharacteristic
268#14579158C2314yes—
269#14579158C2311yescharacteristic
270#14579157C2314yes—
271#14579157C2314yes—
272#14579157C2314yes—
273#14579157C2314yes—
274#14579157C2314yes—
275#14579157C2312yes—
276#14579157C2311yescharacteristic
277#14579157C2312yes—
278#14579156C2314yes—
279#14579156C2314yes—
280#14579156C2314yes—
281#14579156C2314yes—
282#14579156C2314yes—
283#14579156C2314yes—
284#14579156C2314yes—
285#14579156C2314yes—
286#14579156C2312yes—
287#14579156C2312yes—
288#14579155C2314yes—
289#14579155C2314yes—
290#14579155C2314yes—
291#14579155C2314yes—
292#14579154C2314yes—
293#14579154C2314yes—
294#14579154C2314yes—
295#14579154C2314yes—
296#14579154C2314yes—
297#14579154C2314yes—
298#14579154C2314yes—
299#14579154C2312yes—
300#14579154C2314yes—
301#14579154C2312yes—
302#14579153C2314yes—
303#14579153C2314yes—
304#14579153C2314yes—
305#14579153C2314yes—
306#14579153C2311yescharacteristic
307#14579153C2311yescharacteristic
308#14579153C2312yes—
309#14579152C2314yes—
310#14579152C2314yes—
311#14579152C2314yes—
312#14579152C2314yes—
313#14579152C2314yes—
314#14579152C2312yes—
315#14579152C2312yes—
316#14579152C2312yes—
317#14579151C2314yes—
318#14579151C2314yes—
319#14579151C2314yes—
320#14579151C2314yes—
321#14579151C2314yes—
322#14579151C2314yes—
323#14579151C2314yes—
324#14579151C2314yes—
325#14579151C2314yes—
326#14579151C2314yes—
327#14579151C2314yes—
328#14579151C2314yes—
329#14579151C2314yes—
330#14579151C2314yes—
331#14579151C2314yes—
332#14579151C2314yes—
333#14579151C2314yes—
334#14579151C2312yes—
335#14579151C2314yes—
336#14579151C2312yes—
337#14579150C2311yescharacteristic
338#14579149C2312yes—
339#14579148C2311yescharacteristic
340#14579147C2314yes—
341#14579147C2314yes—
342#14579147C2312yes—
343#14579147C2312yes—
344#14579146C2314yes—
345#14579146C2314yes—
346#14579146C2314yes—
347#14579146C2312yes—
348#14579146C2314yes—
349#14579146C2314yes—
350#14579146C2312yes—
351#14579146C2314yes—
352#14579146C2314yes—
353#14579146C2314yes—
354#14579146C2314yes—
355#14579146C2314yes—
356#14579146C2314yes—
357#14579146C2314yes—
358#14579146C2314yes—
359#14579146C2314yes—
360#14579145C2314yes—
361#14579145C2314yes—
362#14579145C2314yes—
363#14579145C2314yes—
364#14579145C2314yes—
365#14579145C2312yes—
366#14579144C2314yes—
367#14579144C2314yes—
368#14579144C2314yes—
369#14579144C2314yes—
370#14579144C2314yes—
371#14579144C2314yes—
372#14579144C2314yes—
373#14579144C2314yes—
374#14579143C2312yes—
375#14579143C2314yes—
376#14579143C2314yes—
377#14579143C2314yes—
378#14579143C2312yes—
379#14579143C2314yes—
380#14579143C2314yes—
381#14579143C2314yes—
382#14579143C2314yes—
383#14579143C2314yes—
384#14579142C2314yes—
385#14579142C2314yes—
386#14579142C2314yes—
387#14579142C2311yescharacteristic
388#14579142C2311yescharacteristic
389#14579141C2314yes—
390#14579141C2314yes—
391#14579141C2312yes—
392#14579141C2312yes—
393#14579141C2312yes—
394#14579140C2312yes—
395#14579140C2312yes—
396#14579140C2314yes—
397#14579140C2314yes—
398#14579139C2314yes—
399#14579139C2314yes—
400#14579139C2314yes—
401#14579139C2314yes—
402#14579139C2314yes—
403#14579139C2314yes—
404#14579139C2314yes—
405#14579139C2312yes—
406#14579139C2314yes—
407#14579139C2312yes—
408#14579138C2312yes—
409#14579138C2314yes—
410#14579138C2314yes—
411#14579138C2314yes—
412#14579138C2312yes—
413#14579138C2314yes—
414#14579138C2314yes—
415#14579138C2314yes—
416#14579137C2314yes—
417#14579137C2312yes—
418#14579137C2312yes—
419#14579137C2312yes—
420#14579136C2312yes—
421#14579136C2314yes—
422#14579136C2314yes—
423#14579136C2314yes—
424#14579136C2314yes—
425#14579136C2312yes—
426#14579136C2314yes—
427#14579136C2312yes—
428#14579135C2314yes—
429#14579135C2314yes—
430#14579135C2312yes—
431#14579135C2312yes—
432#14579135C2314yes—
433#14579135C2314yes—
434#14579135C2314yes—
435#14579135C2314yes—
436#14579135C2314yes—
437#14579134C2314yes—
438#14579134C2314yes—
439#14579134C2314yes—
440#14579134C2314yes—
441#14579134C2314yes—
442#14579134C2314yes—
443#14579134C2314yes—
444#14579134C2314yes—
445#14579134C2314yes—
446#14579134C2314yes—
447#14579134C2314yes—
448#14579134C2314yes—
449#14579134C2314yes—
450#14579134C2314yes—
451#14579134C2314yes—
452#14579134C2314yes—
453#14579134C2314yes—
454#14579134C2312yes—
455#14579134C2314yes—
456#14579134C2312yes—
457#14579133C2312yes—
458#14579133C2314yes—
459#14579133C2314yes—
460#14579133C2314yes—
461#14579133C2314yes—
462#14579133C2314yes—
463#14579133C2314yes—
464#14579133C2314yes—
465#14579133C2312yes—
466#14579133C2314yes—
467#14579133C2314yes—
468#14579133C2314yes—
469#14579133C2314yes—
470#14579133C2314yes—
471#14579133C2314yes—
472#14579133C2314yes—
473#14579132C2314yes—
474#14579132C2314yes—
475#14579132C2314yes—
476#14579132C2314yes—
477#14579132C2314yes—
478#14579132C2312yes—
479#14579132C2312yes—
480#14579132C2314yes—
481#14579132C2312yes—
482#14579131C2314yes—
483#14579131C2312yes—
484#14579129C2311yescharacteristic
485#14579129C2311yescharacteristic
486#14579129C2314yes—
487Q8×Dic79C2312yes—
488Q8×Dic79C2312yes—
489C4×Dic158C2314yes—
490C4×Dic158C2314yes—
491C4×Dic158C2312yes—
492C4×Dic158C2312yes—
493C4×Dic158C2312yes—
494C4×Dic158C2312yes—
495C4×Dic158C2312yes—
496C4×Dic158C2312yes—
497C4×Dic158C2312yes—
498C4×Dic158C2314yes—
499#14579126C2314yes—
500#14579126C2314yes—
501#14579126C2314yes—
502#14579126C2312yes—
503#14579126C2314yes—
504#14579126C2312yes—
505#14579126C2314yes—
506C4×D316C2312yes—
507C4×D316C2314yes—
508C4×D316C2312yes—
509C4×D316C2314yes—
510C4×D316C2312yes—
511C4×D316C2312yes—
512C4×D316C2314yes—
513C4×D316C2314yes—
514C4×D316C2312yes—
515C4×D316C2312yes—
516C4×D316C2312yes—
517D4×Dic79C2314yes—
518D4×Dic79C2312yes—
519D4×Dic79C2314yes—
520D4×Dic79C2312yes—
521D4×Dic79C2314yes—
522#14579123C2314yes—
523#14579123C2314yes—
524#14579123C2314yes—
525#14579123C2312yes—
526#14579123C2314yes—
527#14579123C2314yes—
528#14579123C2314yes—
529#14579123C2312yes—
530C4×C22⋊D79C2312yes—
531C4×C22⋊D79C2314yes—
532C4×C22⋊D79C2314yes—
533C4×C22⋊D79C2312yes—
534C4×C22⋊D79C2314yes—
535C4×C22⋊D79C2314yes—
536C4×C22⋊D79C2314yes—
537C4×C22⋊D79C2314yes—
538C4×C22⋊D79C2314yes—
539C4×C22⋊D79C2312yes—
540C4×C22⋊D79C2314yes—
541C4×C22⋊D79C2312yes—
542C4×C22⋊D79C2312yes—
543C4×C22⋊D79C2312yes—
544C4×C22⋊D79C2312yes—
545C4×C22⋊D79C2312yes—
546C4×C22⋊D79C2314yes—
547C4×C22⋊D79C2312yes—
548C4×C22⋊D79C2314yes—
549C4×C22⋊D79C2312yes—
550(C22⋊D79)⋊C4C2314yes—
551(C22⋊D79)⋊C4C2314yes—
552(C22⋊D79)⋊C4C2314yes—
553(C22⋊D79)⋊C4C2314yes—
554(C22⋊D79)⋊C4C2314yes—
555(C22⋊D79)⋊C4C2314yes—
556(C22⋊D79)⋊C4C2314yes—
557(C22⋊D79)⋊C4C2314yes—
558(C22⋊D79)⋊C4C2314yes—
559(C22⋊D79)⋊C4C2314yes—
560(C22⋊D79)⋊C4C2314yes—
561(C22⋊D79)⋊C4C2314yes—
562(C22⋊D79)⋊C4C2314yes—
563(C22⋊D79)⋊C4C2314yes—
564(C22⋊D79)⋊C4C2314yes—
565(C22⋊D79)⋊C4C2314yes—
566#14579120C2311yescharacteristic
567#14579120C2314yes—
568#14579120C2312yes—
569#14579120C2312yes—
570#14579119C2314yes—
571#14579119C2314yes—
572#14579119C2314yes—
573#14579119C2314yes—
574#14579119C2312yes—
575#14579119C2314yes—
576#14579119C2312yes—
577#14579118C2314yes—
578#14579118C2314yes—
579#14579118C2312yes—
580#14579118C2314yes—
581#14579118C2312yes—
582#14579118C2314yes—
583#14579118C2312yes—
584#14579118C2312yes—
585#14579118C2314yes—
586#14579118C2312yes—
587#14579117C2314yes—
588#14579117C2314yes—
589#14579117C2314yes—
590#14579117C2314yes—
591#14579117C2314yes—
592#14579117C2314yes—
593C2×C4⋊Dic79C2312yes—
594C2×C4⋊Dic79C2314yes—
595C2×Dic79⋊C4C2314yes—
596C2×Dic79⋊C4C2314yes—
597C2×Dic79⋊C4C2314yes—
598C2×Dic79⋊C4C2314yes—
599C2×Dic79⋊C4C2314yes—
600C4⋊C4×D79C2314yes—
601C4⋊C4×D79C2312yes—
602C4⋊C4×D79C2314yes—
603C4⋊C4×D79C2312yes—
604C4⋊C4×D79C2314yes—
605C4⋊C4×D79C2314yes—
606C4⋊C4×D79C2314yes—
607C4⋊C4×D79C2314yes—
608C4⋊C4×D79C2314yes—
609C4⋊C4×D79C2314yes—
610C2×C4×Dic79C2312yes—
611C2×C4×Dic79C2311yescharacteristic
612C2×C4×Dic79C2314yes—
613C42×D79C2312yes—
614C42×D79C2312yes—
615C42×D79C2312yes—
616C42×D79C2312yes—
617C42×D79C2314yes—
618C42×D79C2312yes—
619C2×#41×C79C2311yescharacteristic
620C2×#41×C79C2312yes—
621C4⋊Q8×C79C2311yescharacteristic
622#127×C79C2311yescharacteristic
623#126×C79C2314yes—
624#126×C79C2314yes—
625#126×C79C2314yes—
626#126×C79C2314yes—
627#125×C79C2314yes—
628#125×C79C2314yes—
629#125×C79C2314yes—
630#125×C79C2312yes—
631#125×C79C2311yescharacteristic
632#125×C79C2311yescharacteristic
633#124×C79C2312yes—
634#123×C79C2314yes—
635#123×C79C2314yes—
636#123×C79C2314yes—
637#123×C79C2314yes—
638C22⋊Q8×C79C2312yes—
639C22⋊Q8×C79C2314yes—
640C22⋊Q8×C79C2312yes—
641#121×C79C2314yes—
642#121×C79C2314yes—
643#121×C79C2314yes—
644#121×C79C2312yes—
645#121×C79C2314yes—
646#121×C79C2314yes—
647#121×C79C2314yes—
648#121×C79C2312yes—
649C4×Q8×C79C2312yes—
650C4×Q8×C79C2312yes—
651C4×Q8×C79C2312yes—
652C4×D4×C79C2314yes—
653C4×D4×C79C2314yes—
654C4×D4×C79C2314yes—
655C4×D4×C79C2314yes—
656C4×D4×C79C2312yes—
657C4×D4×C79C2312yes—
658C4×D4×C79C2312yes—
659C4×D4×C79C2312yes—
660C4×D4×C79C2312yes—
661C4×D4×C79C2314yes—
662#117×C79C2311yescharacteristic
663#117×C79C2314yes—
664#117×C79C2314yes—
665#117×C79C2311yescharacteristic
666#117×C79C2311yescharacteristic
667#117×C79C2314yes—
668C2×C4⋊C4×C79C2314yes—
669C2×C4⋊C4×C79C2314yes—
670C2×C4⋊C4×C79C2312yes—
671C2×C42×C79C2311yescharacteristic
672C2×C42×C79C2311yescharacteristic
673C2×C42×C79C2311yescharacteristic
674C23×D79C2411yescharacteristic
675#11929625—44no—
676#11929625—44no—
677#11929624—44no—
678#11929624—48no—
679#11929624—48no—
680#11929624—44no—
681#11929624—48no—
682#11929624—44no—
683#11929624—42no—
684#11929623—48no—
685#11929623—48no—
686#11929623—44no—
687#11929623—44no—
688#11929623—48no—
689C2×Dic158C2412yes—
690C2×Dic158C2412yes—
691C2×Dic158C2414yes—
692C2×Dic158C2412yes—
693C2×Dic158C2414yes—
694C2×Dic158C2411yescharacteristic
695C2×D316C2412yes—
696C2×D316C2414yes—
697C2×D316C2414yes—
698C2×D316C2412yes—
699C2×D316C2412yes—
700C2×D316C2414yes—
701C2×D316C2411yescharacteristic
702C2×D316C2414yes—
703C2×D316C2414yes—
704C2×C22⋊D79C2412yes—
705C2×C22⋊D79C2414yes—
706C2×C22⋊D79C2412yes—
707C2×C22⋊D79C2414yes—
708C2×C22⋊D79C2414yes—
709C2×C22⋊D79C2414yes—
710C2×C22⋊D79C2414yes—
711C2×C22⋊D79C2414yes—
712C2×C22⋊D79C2414yes—
713C2×C22⋊D79C2414yes—
714C2×C22⋊D79C2414yes—
715C2×C22⋊D79C2414yes—
716C2×C22⋊D79C2412yes—
717C2×C22⋊D79C2412yes—
718C2×C22⋊D79C2412yes—
719C2×C22⋊D79C2414yes—
720C22×Dic79C2414yes—
721C22×Dic79C2412yes—
722C22×Dic79C2414yes—
723C22×Dic79C2414yes—
724C22×Dic79C2414yes—
725C22×Dic79C2414yes—
726C22×Dic79C2411yescharacteristic
727C2×C4×D79—42no—
728C2×C4×D79—44no—
729C2×C4×D79C2414yes—
730C2×C4×D79C2412yes—
731C2×C4×D79C2412yes—
732C2×C4×D79C2412yes—
733C2×C4×D79C2412yes—
734C2×C4×D79C2414yes—
735C2×C4×D79C2414yes—
736C2×C4×D79C2412yes—
737C2×C4×D79C2414yes—
738C2×C4×D79C2412yes—
739C2×C4×D79C2414yes—
740C2×C4×D79C2414yes—
741C2×C4×D79C2414yes—
742C2×C4×D79C2414yes—
743C2×C4×D79C2414yes—
744C2×C4×D79C2412yes—
745C2×C4×D79C2412yes—
746C2×C4×D79C2412yes—
747C4⋊Dic79C2412yes—
748C4⋊Dic79C2414yes—
749C4⋊Dic79C2414yes—
750C4⋊Dic79C2412yes—
751C4⋊Dic79C2412yes—
752C4⋊Dic79C2414yes—
753C4⋊Dic79C2414yes—
754C4⋊Dic79C2414yes—
755C4⋊Dic79C2414yes—
756C4⋊Dic79C2412yes—
757C4⋊Dic79C2414yes—
758C4⋊Dic79C2414yes—
759C4⋊Dic79C2412yes—
760C4⋊Dic79C2412yes—
761C4⋊Dic79C2412yes—
762Dic79⋊C4C2412yes—
763Dic79⋊C4C2412yes—
764Dic79⋊C4C2412yes—
765Dic79⋊C4C2412yes—
766Dic79⋊C4C2414yes—
767Dic79⋊C4C2414yes—
768Dic79⋊C4C2414yes—
769Dic79⋊C4C2414yes—
770Dic79⋊C4C2414yes—
771Dic79⋊C4C2414yes—
772Dic79⋊C4C2414yes—
773Dic79⋊C4C2414yes—
774Dic79⋊C4C2414yes—
775Dic79⋊C4C2414yes—
776Dic79⋊C4C2414yes—
777Dic79⋊C4C2414yes—
778Dic79⋊C4C2414yes—
779Dic79⋊C4C2412yes—
780Dic79⋊C4C2412yes—
781Dic79⋊C4C2412yes—
782Dic79⋊C4C2412yes—
783Dic79⋊C4C2414yes—
784Dic79⋊C4C2414yes—
785Dic79⋊C4C2414yes—
786Dic79⋊C4C2414yes—
787Dic79⋊C4C2414yes—
788Dic79⋊C4C2414yes—
789Dic79⋊C4C2414yes—
790Dic79⋊C4C2414yes—
791Dic79⋊C4C2414yes—
792Dic79⋊C4C2412yes—
793Dic79⋊C4C2412yes—
794C22⋊Dic79C2412yes—
795C22⋊Dic79C2414yes—
796C22⋊Dic79C2414yes—
797C22⋊Dic79C2414yes—
798C22⋊Dic79C2414yes—
799C22⋊Dic79C2414yes—
800C22⋊Dic79C2412yes—
801C22⋊Dic79C2411yescharacteristic
802C22⋊Dic79C2411yescharacteristic
803C22⋊Dic79C2412yes—
804C22⋊Dic79C2414yes—
805C22⋊Dic79C2412yes—
806(C2×D79)⋊C4C2412yes—
807(C2×D79)⋊C4C2414yes—
808(C2×D79)⋊C4C2414yes—
809(C2×D79)⋊C4C2412yes—
810(C2×D79)⋊C4C2412yes—
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)⋊C4C2412yes—
818(C2×D79)⋊C4C2412yes—
819(C2×D79)⋊C4C2412yes—
820(C2×D79)⋊C4C2412yes—
821(C2×D79)⋊C4C2412yes—
822(C2×D79)⋊C4C2412yes—
823(C2×D79)⋊C4C2414yes—
824(C2×D79)⋊C4C2414yes—
825(C2×D79)⋊C4C2414yes—
826(C2×D79)⋊C4C2414yes—
827(C2×D79)⋊C4C2414yes—
828(C2×D79)⋊C4C2414yes—
829(C2×D79)⋊C4C2414yes—
830(C2×D79)⋊C4C2414yes—
831(C2×D79)⋊C4C2414yes—
832C4×Dic79C2412yes—
833C4×Dic79C2412yes—
834C4×Dic79C2412yes—
835C4×Dic79C2412yes—
836C4×Dic79C2411yescharacteristic
837C4×Dic79C2412yes—
838C4×Dic79C2411yescharacteristic
839C4×Dic79C2412yes—
840C4×Dic79C2414yes—
841C4×Dic79C2414yes—
842C4×Dic79C2412yes—
843C4×Dic79C2412yes—
844C4×Dic79C2414yes—
845C4×Dic79C2414yes—
846C4×Dic79C2414yes—
847C4×Dic79C2414yes—
848C4×Dic79C2414yes—
849C4×Dic79C2414yes—
850#41×C79—42no—
851#41×C79—44no—
852C2×Q8×C79C2412yes—
853C2×Q8×C79C2411yescharacteristic
854C2×D4×C79C2412yes—
855C2×D4×C79C2414yes—
856C2×D4×C79C2414yes—
857C2×D4×C79C2414yes—
858C2×D4×C79C2411yescharacteristic
859C2×D4×C79C2411yescharacteristic
860C2×D4×C79C2411yescharacteristic
861C2×D4×C79C2414yes—
862C22×C4×C79C2411yescharacteristic
863C22×C4×C79C2411yescharacteristic
864C22×C4×C79C2411yescharacteristic
865C22×C4×C79C2412yes—
866C22×C4×C79C2412yes—
867C22×C4×C79C2414yes—
868C22×C4×C79C2414yes—
869C22×C4×C79C2414yes—
870C22×C4×C79C2412yes—
871C22×C4×C79C2414yes—
872C4⋊C4×C79C2412yes—
873C4⋊C4×C79C2414yes—
874C4⋊C4×C79C2414yes—
875C4⋊C4×C79C2414yes—
876C4⋊C4×C79C2412yes—
877C4⋊C4×C79C2412yes—
878C4⋊C4×C79C2414yes—
879C4⋊C4×C79C2414yes—
880C4⋊C4×C79C2414yes—
881C4⋊C4×C79C2414yes—
882C4⋊C4×C79C2412yes—
883C4⋊C4×C79C2412yes—
884C4⋊C4×C79C2414yes—
885C4⋊C4×C79C2414yes—
886C4⋊C4×C79C2414yes—
887C22⋊C4×C79C2414yes—
888C22⋊C4×C79C2412yes—
889C22⋊C4×C79C2412yes—
890C22⋊C4×C79C2412yes—
891C22⋊C4×C79C2414yes—
892C22⋊C4×C79C2414yes—
893C22⋊C4×C79C2414yes—
894C22⋊C4×C79C2414yes—
895C22⋊C4×C79C2414yes—
896C22⋊C4×C79C2414yes—
897C22⋊C4×C79C2414yes—
898C42×C79C2411yescharacteristic
899C42×C79C2411yescharacteristic
900C42×C79C2411yescharacteristic
901C42×C79C2412yes—
902C42×C79C2412yes—
903C42×C79C2411yescharacteristic
904C42×C79C2412yes—
905C42×C79C2414yes—
906C42×C79C2414yes—
907C23×C79C2511yescharacteristic
908C23×C79C2511yescharacteristic
909C23×C79C2514yes—
910C23×C79C2511yescharacteristic
911C22×D79—41no—
912C22×D79—42no—
913C22×D79C2512yes—
914C22×D79C2512yes—
915C22×D79C2514yes—
916Q8×C79—24no—
917Q8×C79—41no—
918D4×C79—24no—
919D4×C79—44no—
920D4×C79—44no—
921D4×C79—44no—
922D4×C79—41no—
923D4×C79—41no—
924D4×C79—41no—
925D4×C79—44no—
926C2×C4×C79—22no—
927C2×C4×C79—22no—
928C2×C4×C79—22no—
929C2×C4×C79—42no—
930C2×C4×C79—42no—
931C2×C4×C79—44no—
932C2×C4×C79—44no—
933C2×C4×C79—42no—
934C2×C4×C79—44no—
935C2×C4×C79—44no—
936C2×C4×C79C2512yes—
937C2×C4×C79C2512yes—
938C2×C4×C79C2514yes—
939C2×C4×C79C2511yescharacteristic
940C2×C4×C79C2512yes—
941C2×C4×C79C2514yes—
942C2×C4×C79C2514yes—
943C2×C4×C79C2511yescharacteristic
944C2×C4×C79C2511yescharacteristic
945C2×C4×C79C2512yes—
946C2×C4×C79C2511yescharacteristic
947C22⋊D79—24no—
948C22⋊D79—28no—
949C22⋊D79—24no—
950C22⋊D79—44no—
951C22⋊D79—44no—
952C22⋊D79—44no—
953C22⋊D79—44no—
954C22⋊D79—44no—
955C22⋊D79—44no—
956C22⋊D79—44no—
957C22⋊D79—42no—
958C22⋊D79—44no—
959C22⋊D79—44no—
960C22⋊D79—42no—
961C22⋊D79—44no—
962C22⋊D79—42no—
963C2×Dic79—24no—
964C2×Dic79—28no—
965C2×Dic79—41no—
966C2×Dic79—44no—
967C2×Dic79—44no—
968C2×Dic79—44no—
969C2×Dic79—44no—
970C2×Dic79C2512yes—
971C2×Dic79C2512yes—
972C2×Dic79C2512yes—
973C2×Dic79C2514yes—
974C2×Dic79C2514yes—
975C2×Dic79C2512yes—
976C2×Dic79C2514yes—
977C2×Dic79C2512yes—
978C2×Dic79C2512yes—
979D316—24no—
980D316—41no—
981D316—42no—
982D316—44no—
983D316—44no—
984D316—44no—
985D316—42no—
986D316—44no—
987D316—44no—
988C4×D79—24no—
989C4×D79—24no—
990C4×D79—24no—
991C4×D79—24no—
992C4×D79—28no—
993C4×D79—42no—
994C4×D79—42no—
995C4×D79—42no—
996C4×D79—44no—
997C4×D79—44no—
998C4×D79—42no—
999C4×D79—44no—
1000C4×D79—44no—
1001C4×D79—44no—
1002C4×D79—44no—
1003C4×D79—42no—
1004C4×D79—44no—
1005C4×D79—44no—
1006Dic158—24no—
1007Dic158—24no—
1008Dic158—28no—
1009Dic158—24no—
1010Dic158—44no—
1011Dic158—41no—
1012C22×C79—22no—
1013C22×C79—24no—
1014C22×C79—22no—
1015C22×C79—21no—
1016C22×C79—24no—
1017C22×C79—21no—
1018C22×C79—24no—
1019C22×C79—22no—
1020C22×C79—21no—
1021C22×C79C2611yescharacteristic
1022C2×D79—22no—
1023C2×D79—24no—
1024C2×D79—22no—
1025C2×D79—24no—
1026C2×D79—22no—
1027C2×D79—22no—
1028C2×D79—22no—
1029C2×D79—22no—
1030C2×D79—24no—
1031C2×D79—44no—
1032C4×C79—21no—
1033C4×C79—21no—
1034C4×C79—21no—
1035C4×C79—22no—
1036C4×C79—22no—
1037C4×C79—22no—
1038C4×C79—24no—
1039C4×C79—24no—
1040C4×C79—22no—
1041C4×C79—24no—
1042C4×C79#58512yes—
1043Dic79—22no—
1044Dic79—24no—
1045Dic79—22no—
1046Dic79—24no—
1047Dic79—22no—
1048Dic79—22no—
1049Dic79—24no—
1050Dic79—22no—
1051Dic79#58514yes—
1052#62840—791nomaximal, Sylow
1053C2×C79—41no—
1054C2×C79—41no—
1055C2×C79—44no—
1056C2×C79—41no—
1057C2×C79C2×#58512yes—
1058C2×C79C2×#58511yescharacteristic
1059D79—42no—
1060D79—44no—
1061D79—42no—
1062#3567—794no—
1063#3567—794no—
1064#3556—791no—
1065#3548—791no—
1066#3548—792no—
1067#3539—794no—
1068#3539—794no—
1069#3539—791no—
1070#3539—791no—
1071#3539—792no—
1072#3517—794no—
1073#3517—792no—
1074#3517—792no—
1075#3517—792no—
1076#3517—792no—
1077#3515—794no—
1078#3515—792no—
1079#3515—792no—
1080#3515—792no—
1081#3515—792no—
1082#3512—794no—
1083#3512—794no—
1084#3512—792no—
1085#3512—791no—
1086#3512D7911yescharacteristic, complemented
1087#3444—792no—
1088#3444—791no—
1089C79#6284011yescharacteristic, complemented, Sylow
1090#564—794no—
1091#562—794no—
1092#562—794no—
1093#562—794no—
1094#560—794no—
1095#560—794no—
1096#560—794no—
1097#560—794no—
1098#557—792no—
1099#557—794no—
1100#557—792no—
1101#557—792no—
1102#557—792no—
1103#554—792no—
1104#554—794no—
1105#554—792no—
1106#554—792no—
1107#554—792no—
1108#553—794no—
1109#553—794no—
1110#553—794no—
1111#553—794no—
1112#553—794no—
1113#553—792no—
1114#553—794no—
1115#553—794no—
1116#553—794no—
1117#553—794no—
1118#553—794no—
1119#553—794no—
1120#553—794no—
1121#553—794no—
1122#553—792no—
1123#553—794no—
1124#553—794no—
1125#553—794no—
1126#553—794no—
1127#553—794no—
1128#553—794no—
1129#553—794no—
1130#553—794no—
1131#553—794no—
1132#553—792no—
1133#553—794no—
1134#553—794no—
1135#553—792no—
1136#553—794no—
1137#553C2×D7914yes—
1138#553C2×D7914yes—
1139#553C2×D7914yescomplemented
1140#552—794no—
1141#552—794no—
1142#552—794no—
1143#552—794no—
1144#552—794no—
1145#552—792no—
1146#552—794no—
1147#552—794no—
1148#552—792no—
1149#552—792no—
1150#552—794no—
1151#552—794no—
1152#552—794no—
1153#552—794no—
1154#552—794no—
1155#552—794no—
1156#552—794no—
1157#552—792no—
1158#552—794no—
1159#552C2×D7914yescomplemented
1160#550—792no—
1161#550—792no—
1162#550—792no—
1163#550—792no—
1164#550—792no—
1165#550—794no—
1166#550—794no—
1167#550—792no—
1168#550—794no—
1169#550—792no—
1170#550—794no—
1171#550—794no—
1172#550—792no—
1173#547—792no—
1174#547—792no—
1175#547—792no—
1176#547—794no—
1177#547—794no—
1178#547—794no—
1179#547—792no—
1180#547—792no—
1181#547—792no—
1182#547—792no—
1183#547—794no—
1184#547—794no—
1185#547—792no—
1186#541—794no—
1187#541—794no—
1188#541—794no—
1189#541—794no—
1190#541—792no—
1191#541—792no—
1192#541—791no—
1193#541—791no—
1194#541C2×D7911yescharacteristic
1195#541C2×D7911yescharacteristic, complemented
1196#540—794no—
1197#540—794no—
1198#540—794no—
1199#540—794no—
1200#540—794no—
1201#540—794no—
1202#540—794no—
1203#540—794no—
1204#540—794no—
1205#540—794no—
1206#540—794no—
1207#540—792no—
1208#540—794no—
1209#540—794no—
1210#540—794no—
1211#540—792no—
1212#540—791no—
1213#540—794no—
1214#540—794no—
1215#540—791no—
1216#540C2×D7911yescharacteristic
1217#540C2×D7911yescharacteristic, complemented
1218#539—794no—
1219#539—794no—
1220#539—794no—
1221#539—794no—
1222#539—794no—
1223#539—794no—
1224#539—794no—
1225#539—794no—
1226#539—794no—
1227#539—794no—
1228#539—794no—
1229#539—794no—
1230#537—792no—
1231#537—792no—
1232#537—794no—
1233#537—794no—
1234#537—794no—
1235#537—794no—
1236#537—792no—
1237#537C2×D7912yes—
1238#533—792no—
1239#533—792no—
1240#533—792no—
1241#533—792no—
1242#533—791no—
1243#532—791no—
1244#532—792no—
1245#532—792no—
1246#532—792no—
1247#532—794no—
1248#532—792no—
1249#532—792no—
1250#532—794no—
1251#532—791no—
1252#532C2×D7911yescharacteristic, complemented
1253#529—794no—
1254#529—794no—
1255#529—794no—
1256#529—792no—
1257#529—792no—
1258#529—792no—
1259#529—792no—
1260#529—794no—
1261#529—794no—
1262#529—792no—
1263#529—792no—
1264#529—792no—
1265#529—792no—
1266#529—794no—
1267#529—792no—
1268#529—792no—
1269#529—794no—
1270#529—794no—
1271#529—792no—
1272#529—792no—
1273#529C2×D7912yes—
1274#529C2×D7912yescomplemented
1275C2×#125—794no—
1276C2×#125—792no—
1277C2×#125—794no—
1278C2×#125—791no—
1279C2×#125C2×D7911yescharacteristic, complemented
1280#525—791no—
1281#525—794no—
1282#525—792no—
1283#525—792no—
1284#525—794no—
1285#525—792no—
1286#525—792no—
1287#525—791no—
1288#520—792no—
1289#520—794no—
1290#520—794no—
1291#520—792no—
1292#520—792no—
1293#520—794no—
1294#520—794no—
1295#520C2×D7912yescomplemented
1296C4×#41—792no—
1297C4×#41—794no—
1298C4×#41—792no—
1299C4×#41—794no—
1300C4×#41—791no—
1301C4×#41—792no—
1302C4×#41—792no—
1303C4×#41C2×D7911yescharacteristic
1304C22×C42—791no—
1305C2×#41—792no—
1306C2×#41—792no—
1307C2×#41—794no—
1308C2×#41—792no—
1309C2×#41—792no—
1310C2×#41—794no—
1311C2×#41—794no—
1312C2×#41—791no—
1313C2×#41—794no—
1314C2×#41—792no—
1315C2×#41—792no—
1316C2×#41—792no—
1317C2×#41—794no—
1318C2×#41—794no—
1319C2×#41C22×D7911yescharacteristic
1320C2×#41C22×D7912yes—
1321C23×C4—791no—
1322C23×C4—792no—
1323C4⋊Q8—792no—
1324C4⋊Q8—791no—
1325C4⋊Q8—792no—
1326C4⋊Q8—792no—
1327C4⋊Q8—792no—
1328C4⋊Q8—792no—
1329C4⋊Q8—794no—
1330C4⋊Q8—794no—
1331C4⋊Q8—791no—
1332C4⋊Q8C22×D7911yescharacteristic
1333#127—792no—
1334#127—791no—
1335#127—792no—
1336#127—794no—
1337#127—794no—
1338#127—794no—
1339#127—794no—
1340#127—794no—
1341#127—791no—
1342#127—794no—
1343#127C22×D7911yescharacteristic
1344#126—792no—
1345#126—792no—
1346#126—794no—
1347#126—794no—
1348#126—794no—
1349#126—794no—
1350#126—794no—
1351#126—794no—
1352#126—794no—
1353#126—794no—
1354#126—792no—
1355#126—792no—
1356#126—794no—
1357#126—794no—
1358#126—794no—
1359#126—794no—
1360#126—794no—
1361#126—794no—
1362#126—794no—
1363#126—794no—
1364#126—794no—
1365#126—794no—
1366#126—794no—
1367#126—794no—
1368#126C22×D7914yes—
1369#126C22×D7914yes—
1370#126C22×D7914yes—
1371#126C22×D7914yes—
1372#125—794no—
1373#125—792no—
1374#125—792no—
1375#125—794no—
1376#125—794no—
1377#125—794no—
1378#125—794no—
1379#125—794no—
1380#125—794no—
1381#125—794no—
1382#125—794no—
1383#125—794no—
1384#125—794no—
1385#125—792no—
1386#125—794no—
1387#125—794no—
1388#125—792no—
1389#125—794no—
1390#125—792no—
1391#125—794no—
1392#125—794no—
1393#125—794no—
1394#125—794no—
1395#125—794no—
1396#125—794no—
1397#125—794no—
1398#125—794no—
1399#125—794no—
1400#125—792no—
1401#125—794no—
1402#125—794no—
1403#125—791no—
1404#125—791no—
1405#125—794no—
1406#125—794no—
1407#125C22×D7912yes—
1408#125C22×D7914yes—
1409#125C22×D7914yes—
1410#125C22×D7911yescharacteristic
1411#125C22×D7911yescharacteristic
1412#125C22×D7914yes—
1413#124—791no—
1414#124—791no—
1415#124—792no—
1416#124—792no—
1417#124—794no—
1418#124—794no—
1419#124—792no—
1420#124C22×D7912yes—
1421#123—791no—
1422#123—791no—
1423#123—794no—
1424#123—794no—
1425#123—794no—
1426#123—794no—
1427#123—794no—
1428#123—794no—
1429#123—794no—
1430#123—794no—
1431#123—794no—
1432#123—794no—
1433#123—794no—
1434#123—794no—
1435#123—792no—
1436#123—794no—
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—794no—
1446#123—794no—
1447#123—794no—
1448#123—794no—
1449#123—794no—
1450#123—794no—
1451#123—794no—
1452#123—792no—
1453#123—792no—
1454#123—792no—
1455#123—794no—
1456#123—794no—
1457#123—794no—
1458#123—794no—
1459#123—794no—
1460#123—794no—
1461#123—794no—
1462#123—794no—
1463#123—794no—
1464#123—794no—
1465#123—794no—
1466#123C22×D7914yes—
1467#123C22×D7914yes—
1468#123C22×D7914yes—
1469#123C22×D7914yes—
1470C22⋊Q8—792no—
1471C22⋊Q8—792no—
1472C22⋊Q8—792no—
1473C22⋊Q8—794no—
1474C22⋊Q8—792no—
1475C22⋊Q8—792no—
1476C22⋊Q8—794no—
1477C22⋊Q8—794no—
1478C22⋊Q8—794no—
1479C22⋊Q8—794no—
1480C22⋊Q8—792no—
1481C22⋊Q8—792no—
1482C22⋊Q8—794no—
1483C22⋊Q8—792no—
1484C22⋊Q8—792no—
1485C22⋊Q8—794no—
1486C22⋊Q8—794no—
1487C22⋊Q8—792no—
1488C22⋊Q8—794no—
1489C22⋊Q8—794no—
1490C22⋊Q8—794no—
1491C22⋊Q8—794no—
1492C22⋊Q8—794no—
1493C22⋊Q8—794no—
1494C22⋊Q8—792no—
1495C22⋊Q8—792no—
1496C22⋊Q8—794no—
1497C22⋊Q8—794no—
1498C22⋊Q8—794no—
1499C22⋊Q8—794no—
1500C22⋊Q8—794no—
1501C22⋊Q8C22×D7912yes—
1502C22⋊Q8C22×D7912yes—
1503C22⋊Q8C22×D7914yes—
1504#121—794no—
1505#121—792no—
1506#121—792no—
1507#121—792no—
1508#121—792no—
1509#121—792no—
1510#121—794no—
1511#121—794no—
1512#121—794no—
1513#121—794no—
1514#121—794no—
1515#121—794no—
1516#121—794no—
1517#121—794no—
1518#121—794no—
1519#121—794no—
1520#121—794no—
1521#121—794no—
1522#121—794no—
1523#121—794no—
1524#121—794no—
1525#121—794no—
1526#121—794no—
1527#121—794no—
1528#121—794no—
1529#121—792no—
1530#121—792no—
1531#121—794no—
1532#121—794no—
1533#121—794no—
1534#121—794no—
1535#121—794no—
1536#121—794no—
1537#121—794no—
1538#121—792no—
1539#121—792no—
1540#121—792no—
1541#121—794no—
1542#121—794no—
1543#121—794no—
1544#121—794no—
1545#121—794no—
1546#121—794no—
1547#121—794no—
1548#121—794no—
1549#121—792no—
1550#121—792no—
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#121C22×D7912yes—
1567#121C22×D7912yes—
1568#121C22×D7914yes—
1569#121C22×D7914yes—
1570#121C22×D7914yes—
1571#121C22×D7914yes—
1572#121C22×D7914yes—
1573#121C22×D7914yes—
1574#120—794no—
1575#120—791no—
1576#120—791no—
1577#120—794no—
1578#120—792no—
1579C4×Q8—792no—
1580C4×Q8—792no—
1581C4×Q8—794no—
1582C4×Q8—794no—
1583C4×Q8—792no—
1584C4×Q8—794no—
1585C4×Q8—794no—
1586C4×Q8—794no—
1587C4×Q8—792no—
1588C4×Q8—792no—
1589C4×Q8—792no—
1590C4×Q8—792no—
1591C4×Q8—792no—
1592C4×Q8—792no—
1593C4×Q8—794no—
1594C4×Q8—792no—
1595C4×Q8—794no—
1596C4×Q8—794no—
1597C4×Q8—792no—
1598C4×Q8C22×D7912yes—
1599C4×Q8C22×D7912yes—
1600C4×Q8C22×D7912yes—
1601C4×D4—794no—
1602C4×D4—792no—
1603C4×D4—794no—
1604C4×D4—792no—
1605C4×D4—794no—
1606C4×D4—792no—
1607C4×D4—792no—
1608C4×D4—794no—
1609C4×D4—792no—
1610C4×D4—792no—
1611C4×D4—792no—
1612C4×D4—792no—
1613C4×D4—794no—
1614C4×D4—792no—
1615C4×D4—792no—
1616C4×D4—792no—
1617C4×D4—792no—
1618C4×D4—794no—
1619C4×D4—794no—
1620C4×D4—794no—
1621C4×D4—794no—
1622C4×D4—794no—
1623C4×D4—794no—
1624C4×D4—794no—
1625C4×D4—794no—
1626C4×D4—794no—
1627C4×D4—794no—
1628C4×D4—794no—
1629C4×D4—792no—
1630C4×D4—794no—
1631C4×D4—794no—
1632C4×D4—792no—
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—794no—
1642C4×D4—794no—
1643C4×D4—794no—
1644C4×D4—794no—
1645C4×D4—794no—
1646C4×D4—794no—
1647C4×D4—794no—
1648C4×D4—794no—
1649C4×D4—794no—
1650C4×D4—792no—
1651C4×D4—794no—
1652C4×D4—792no—
1653C4×D4—792no—
1654C4×D4—792no—
1655C4×D4—792no—
1656C4×D4—792no—
1657C4×D4—794no—
1658C4×D4—792no—
1659C4×D4—794no—
1660C4×D4—794no—
1661C4×D4C22×D7912yes—
1662C4×D4C22×D7914yes—
1663C4×D4C22×D7912yes—
1664C4×D4C22×D7912yes—
1665C4×D4C22×D7912yes—
1666C4×D4C22×D7914yes—
1667C4×D4C22×D7914yes—
1668C4×D4C22×D7914yes—
1669C4×D4C22×D7912yes—
1670C4×D4C22×D7914yes—
1671#117—791no—
1672#117—792no—
1673#117—792no—
1674#117—794no—
1675#117—794no—
1676#117—792no—
1677#117—792no—
1678#117—794no—
1679#117—794no—
1680#117—794no—
1681#117—794no—
1682#117—794no—
1683#117—794no—
1684#117—794no—
1685#117—794no—
1686#117—794no—
1687#117—794no—
1688#117—792no—
1689#117—794no—
1690#117—792no—
1691#117—792no—
1692#117—792no—
1693#117—792no—
1694#117—794no—
1695#117—794no—
1696#117—794no—
1697#117—794no—
1698#117C22×D7914yes—
1699#117C22×D7911yescharacteristic
1700#117C22×D7911yescharacteristic
1701#117C22×D7911yescharacteristic
1702#117C22×D7914yes—
1703#117C22×D7914yes—
1704C2×C4⋊C4—794no—
1705C2×C4⋊C4—794no—
1706C2×C4⋊C4—792no—
1707C2×C4⋊C4—794no—
1708C2×C4⋊C4—794no—
1709C2×C4⋊C4—794no—
1710C2×C4⋊C4—794no—
1711C2×C4⋊C4—794no—
1712C2×C4⋊C4—794no—
1713C2×C4⋊C4—792no—
1714C2×C4⋊C4—792no—
1715C2×C4⋊C4—794no—
1716C2×C4⋊C4—794no—
1717C2×C4⋊C4—794no—
1718C2×C4⋊C4—794no—
1719C2×C4⋊C4—794no—
1720C2×C4⋊C4—794no—
1721C2×C4⋊C4C22×D7914yes—
1722C2×C4⋊C4C22×D7914yes—
1723C2×C4⋊C4C22×D7912yes—
1724C2×C42—794no—
1725C2×C42—792no—
1726C2×C42—791no—
1727C2×C42—794no—
1728C2×C42—792no—
1729C2×C42—792no—
1730C2×C42—792no—
1731C2×C42—792no—
1732C2×C42—792no—
1733C2×C42C22×D7911yescharacteristic
1734C2×C42C22×D7911yescharacteristic
1735C2×C42C22×D7911yescharacteristic
1736C24—791no—
1737#41—42no—
1738#41—44no—
1739#41—3164no—
1740#41—3162no—
1741#41—3164no—
1742#41—3168no—
1743#41—3164no—
1744#41—3168no—
1745#41—3168no—
1746#41—3164no—
1747#41—3164no—
1748#41—3168no—
1749#41—3168no—
1750#41—3164no—
1751#41—3164no—
1752#41—3168no—
1753C2×Q8—794no—
1754C2×Q8—791no—
1755C2×Q8—794no—
1756C2×Q8—792no—
1757C2×Q8—792no—
1758C2×Q8—792no—
1759C2×Q8C23×D7912yes—
1760C2×Q8C23×D7911yescharacteristic
1761C2×D4—794no—
1762C2×D4—792no—
1763C2×D4—792no—
1764C2×D4—794no—
1765C2×D4—794no—
1766C2×D4—792no—
1767C2×D4—794no—
1768C2×D4—794no—
1769C2×D4—794no—
1770C2×D4—794no—
1771C2×D4—794no—
1772C2×D4—794no—
1773C2×D4—794no—
1774C2×D4—792no—
1775C2×D4—792no—
1776C2×D4—794no—
1777C2×D4—794no—
1778C2×D4—792no—
1779C2×D4—794no—
1780C2×D4—792no—
1781C2×D4—791no—
1782C2×D4—794no—
1783C2×D4—794no—
1784C2×D4—794no—
1785C2×D4—792no—
1786C2×D4C23×D7912yes—
1787C2×D4C23×D7914yes—
1788C2×D4C23×D7914yes—
1789C2×D4C23×D7914yes—
1790C2×D4C23×D7911yescharacteristic
1791C2×D4C23×D7911yescharacteristic
1792C2×D4C23×D7911yescharacteristic
1793C2×D4C23×D7914yes—
1794C22×C4—3162no—
1795C22×C4—3164no—
1796C22×C4—791no—
1797C22×C4—794no—
1798C22×C4—794no—
1799C22×C4—794no—
1800C22×C4—794no—
1801C22×C4—792no—
1802C22×C4—792no—
1803C22×C4—792no—
1804C22×C4—794no—
1805C22×C4—792no—
1806C22×C4—794no—
1807C22×C4—792no—
1808C22×C4—794no—
1809C22×C4—794no—
1810C22×C4—794no—
1811C22×C4—794no—
1812C22×C4—794no—
1813C22×C4—794no—
1814C22×C4—792no—
1815C22×C4—794no—
1816C22×C4—792no—
1817C22×C4—792no—
1818C22×C4—792no—
1819C22×C4—794no—
1820C22×C4—792no—
1821C22×C4C23×D7911yescharacteristic
1822C22×C4C23×D7911yescharacteristic
1823C22×C4C23×D7911yescharacteristic
1824C22×C4C23×D7912yes—
1825C22×C4C23×D7914yes—
1826C22×C4C23×D7912yes—
1827C22×C4C23×D7912yes—
1828C22×C4C23×D7914yes—
1829C22×C4C23×D7914yes—
1830C22×C4C23×D7914yes—
1831C4⋊C4—794no—
1832C4⋊C4—792no—
1833C4⋊C4—794no—
1834C4⋊C4—792no—
1835C4⋊C4—794no—
1836C4⋊C4—792no—
1837C4⋊C4—792no—
1838C4⋊C4—792no—
1839C4⋊C4—792no—
1840C4⋊C4—794no—
1841C4⋊C4—794no—
1842C4⋊C4—792no—
1843C4⋊C4—794no—
1844C4⋊C4—792no—
1845C4⋊C4—794no—
1846C4⋊C4—794no—
1847C4⋊C4—794no—
1848C4⋊C4—794no—
1849C4⋊C4—794no—
1850C4⋊C4—794no—
1851C4⋊C4—794no—
1852C4⋊C4—794no—
1853C4⋊C4—794no—
1854C4⋊C4—794no—
1855C4⋊C4—794no—
1856C4⋊C4—794no—
1857C4⋊C4—794no—
1858C4⋊C4—792no—
1859C4⋊C4—792no—
1860C4⋊C4—794no—
1861C4⋊C4—794no—
1862C4⋊C4—794no—
1863C4⋊C4—794no—
1864C4⋊C4—792no—
1865C4⋊C4—792no—
1866C4⋊C4—792no—
1867C4⋊C4—792no—
1868C4⋊C4—794no—
1869C4⋊C4—794no—
1870C4⋊C4—794no—
1871C4⋊C4—794no—
1872C4⋊C4—794no—
1873C4⋊C4—794no—
1874C4⋊C4—792no—
1875C4⋊C4—794no—
1876C4⋊C4—792no—
1877C4⋊C4—792no—
1878C4⋊C4C23×D7912yes—
1879C4⋊C4C23×D7914yes—
1880C4⋊C4C23×D7914yes—
1881C4⋊C4C23×D7912yes—
1882C4⋊C4C23×D7914yes—
1883C4⋊C4C23×D7912yes—
1884C4⋊C4C23×D7914yes—
1885C4⋊C4C23×D7914yes—
1886C4⋊C4C23×D7914yes—
1887C4⋊C4C23×D7912yes—
1888C4⋊C4C23×D7914yes—
1889C4⋊C4C23×D7914yes—
1890C4⋊C4C23×D7914yes—
1891C4⋊C4C23×D7914yes—
1892C4⋊C4C23×D7912yes—
1893C22⋊C4—792no—
1894C22⋊C4—792no—
1895C22⋊C4—794no—
1896C22⋊C4—794no—
1897C22⋊C4—791no—
1898C22⋊C4—791no—
1899C22⋊C4—794no—
1900C22⋊C4—794no—
1901C22⋊C4—794no—
1902C22⋊C4—792no—
1903C22⋊C4—794no—
1904C22⋊C4—792no—
1905C22⋊C4—792no—
1906C22⋊C4—792no—
1907C22⋊C4—794no—
1908C22⋊C4—794no—
1909C22⋊C4—794no—
1910C22⋊C4—792no—
1911C22⋊C4—792no—
1912C22⋊C4—794no—
1913C22⋊C4—794no—
1914C22⋊C4—794no—
1915C22⋊C4—792no—
1916C22⋊C4—792no—
1917C22⋊C4—794no—
1918C22⋊C4—792no—
1919C22⋊C4—794no—
1920C22⋊C4—792no—
1921C22⋊C4—794no—
1922C22⋊C4—794no—
1923C22⋊C4—794no—
1924C22⋊C4—794no—
1925C22⋊C4—794no—
1926C22⋊C4—794no—
1927C22⋊C4—794no—
1928C22⋊C4—792no—
1929C22⋊C4—792no—
1930C22⋊C4—794no—
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×D7912yes—
1940C22⋊C4C23×D7912yes—
1941C22⋊C4C23×D7914yes—
1942C42—792no—
1943C42—792no—
1944C42—792no—
1945C42—792no—
1946C42—791no—
1947C42—792no—
1948C42—791no—
1949C42—794no—
1950C42—794no—
1951C42—792no—
1952C42—792no—
1953C42—794no—
1954C42—794no—
1955C42—794no—
1956C42—792no—
1957C42—794no—
1958C42—794no—
1959C42—794no—
1960C42C23×D7911yescharacteristic
1961C42C23×D7911yescharacteristic
1962C42C23×D7912yes—
1963C42C23×D7914yes—
1964C42C23×D7912yes—
1965C42C23×D7912yes—
1966C42C23×D7911yescharacteristic
1967C42C23×D7911yescharacteristic
1968C42C23×D7914yes—
1969C23—3162no—
1970C23—3161no—
1971C23—792no—
1972C23—792no—
1973C23—794no—
1974C23C24×D7911yescharacteristic
1975C23C24×D7911yescharacteristic
1976C23C24×D7914yes—
1977C23C24×D7911yescharacteristic
1978Q8—24no—
1979Q8—41no—
1980Q8—3164no—
1981Q8—3161no—
1982Q8—1584no—
1983Q8—1588no—
1984Q8—1584no—
1985Q8—1584no—
1986D4—24no—
1987D4—41no—
1988D4—41no—
1989D4—41no—
1990D4—44no—
1991D4—44no—
1992D4—44no—
1993D4—44no—
1994D4—3162no—
1995D4—3164no—
1996D4—3164no—
1997D4—3164no—
1998D4—3162no—
1999D4—3161no—
2000D4—3164no—
2001D4—3164no—
2002D4—3164no—
2003D4—3162no—
2004D4—3164no—
2005D4—3164no—
2006D4—3164no—
2007D4—3162no—
2008D4—3164no—
2009D4—3164no—
2010D4—3164no—
2011D4—3162no—
2012D4—3164no—
2013D4—3164no—
2014D4—3164no—
2015D4—1584no—
2016D4—1588no—
2017D4—1584no—
2018D4—1584no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—42no—
2023C2×C4—44no—
2024C2×C4—42no—
2025C2×C4—44no—
2026C2×C4—42no—
2027C2×C4—44no—
2028C2×C4—44no—
2029C2×C4—3162no—
2030C2×C4—3162no—
2031C2×C4—3162no—
2032C2×C4—3162no—
2033C2×C4—3164no—
2034C2×C4—3162no—
2035C2×C4—3164no—
2036C2×C4—3164no—
2037C2×C4—3164no—
2038C2×C4—3164no—
2039C2×C4—3164no—
2040C2×C4—3164no—
2041C2×C4—3164no—
2042C2×C4—3161no—
2043C2×C4—3164no—
2044C2×C4—3164no—
2045C2×C4—3164no—
2046C2×C4—3164no—
2047C2×C4—792no—
2048C2×C4—792no—
2049C2×C4—792no—
2050C2×C4—792no—
2051C2×C4—792no—
2052C2×C4—794no—
2053C2×C4—794no—
2054C2×C4—794no—
2055C2×C4—792no—
2056C2×C4—1584no—
2057C2×C4—1584no—
2058C2×C4—1588no—
2059C2×C4—1584no—
2060C2×C4—1588no—
2061C2×C4—1584no—
2062C2×C4—1584no—
2063C2×C4C24×D7912yes—
2064C2×C4C24×D7912yes—
2065C2×C4C24×D7914yes—
2066C2×C4C24×D7911yescharacteristic
2067C2×C4C24×D7912yes—
2068C2×C4C24×D7914yes—
2069C2×C4C24×D7914yes—
2070C2×C4C24×D7912yes—
2071C2×C4C24×D7911yescharacteristic
2072C2×C4C24×D7911yescharacteristic
2073C2×C4C24×D7911yescharacteristic
2074C22—22no—
2075C22—24no—
2076C22—22no—
2077C22—22no—
2078C22—24no—
2079C22—21no—
2080C22—21no—
2081C22—21no—
2082C22—24no—
2083C22—3164no—
2084C22—1582no—
2085C22—1584no—
2086C22—1582no—
2087C22—1582no—
2088C22—1582no—
2089C22—1584no—
2090C22—1584no—
2091C22—1582no—
2092C22—1582no—
2093C22C25×D7911yescharacteristic
2094C4—22no—
2095C4—22no—
2096C4—22no—
2097C4—24no—
2098C4—24no—
2099C4—22no—
2100C4—21no—
2101C4—21no—
2102C4—21no—
2103C4—24no—
2104C4—794no—
2105C4—1584no—
2106C4—1582no—
2107C4—1584no—
2108C4—1582no—
2109C4—1582no—
2110C4—1582no—
2111C4—1582no—
2112C4—1584no—
2113C4#1909939912yes—
2114C2—41no—
2115C2—41no—
2116C2—44no—
2117C2—41no—
2118C2—3162no—
2119C2—3162no—
2120C2—3164no—
2121C2#585×D7912yes—
2122C2C2×#1909939911yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3512C2
hypercenter#3512D79
hypocenterC79#62840
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #23778089C2semidirect
2. #23778084C2semidirect
3. #23777893C2semidirect
4. #23777795C2semidirect
5. #23777794C2semidirect
6. #23777662C2semidirect
7. #23777659C2semidirect
8. #23777653C2semidirect
9. #23777650C2semidirect
10. #23777650C2semidirect
11. #23777404C2semidirect
12. #23777402C2semidirect
13. #23777400C2semidirect
14. #23777399C2semidirect
15. #23777398C2semidirect
16. #23777376C2semidirect
17. #23777372C2semidirect
18. #23777368C2semidirect
19. #23777367C2semidirect
20. #23777366C2semidirect
21. #23777322C2semidirect
22. #23777318C2semidirect
23. #23777316C2semidirect
24. #23777315C2semidirect
25. #23776694C2semidirect
26. #23776693C2semidirect
27. C79×#3512C2semidirect
28. C79⋊#564C22semidirect
29. #19099310C22semidirect
30. #19099309C22semidirect
31. #19099308C22semidirect
36. #19099291C22semidirect
37. #19099290C22semidirect
38. #19099290C22semidirect
39. #19099289C22semidirect
40. #19099288C22semidirect
41. #19099272C22semidirect
42. #19099271C22semidirect
43. #19099269C22semidirect
44. #19099268C22semidirect
45. #19099267C22semidirect
52. #19099264C22semidirect
53. #19099264C22semidirect
57. #19099263C22semidirect
62. #19099262C22semidirect
63. #19099262C22semidirect
65. #19099261C22semidirect
67. #19099260C22semidirect
68. #19099259C22semidirect
71. #19099258C22semidirect
72. #19099257C22semidirect
74. #19099256C22semidirect
77. #19099254C22semidirect
78. #19099253C22semidirect
79. #19099252C22semidirect
81. #19099251C22semidirect
82. #19099250C22semidirect
83. #19099249C22semidirect
84. #19099249C22semidirect
86. #19099248C22semidirect
89. #19099246C22semidirect
90. #19099246C22semidirect
93. #19099245C22semidirect
97. #19099234C22semidirect
99. #19099233C22semidirect
101. #19099232C22semidirect
105. #19099231C22semidirect
106. #19099231C22semidirect
110. #19099215C22semidirect
113. #19099214C22semidirect
114. #19099213C22semidirect
116. #19099212C22semidirect
119. #19099211C22semidirect
121. #19099175C22semidirect
123. #19099172C22semidirect
124. #19099171C22semidirect
127. #19099170C22semidirect
132. #19099168C22semidirect
138. #19099165C22semidirect
141. #19099164C22semidirect
147. #19099163C22semidirect
172. #19099113C22semidirect
174. #19099112C22semidirect
177. #19099110C22semidirect
180. #19099108C22semidirect
183. #19099098C22semidirect
185. #19099097C22semidirect
188. #19099096C22semidirect
192. #19099093C22semidirect
194. #19099092C22semidirect
198. #19099091C22semidirect
200. #19099090C22semidirect
201. C2×#14579153C22semidirect
202. C2×#14579151C22semidirect
203. #125×D79C22semidirect
204. #125×D79C22semidirect
213. #19099045C22semidirect
214. #19099044C22semidirect
215. #19099043C22semidirect
216. #19099043C22semidirect
217. #19099042C22semidirect
218. #19099042C22semidirect
219. #19099042C22semidirect
230. #553×C79C22semidirect
231. #552×C79C22semidirect
233. #541×C79C22semidirect
235. #540×C79C22semidirect
237. #532×C79C22semidirect
239. #529×C79C22semidirect
240. C2×#125×C79C22semidirect
241. #520×C79C22semidirect
1086. #3512D79semidirect
1089. C79#62840semidirect
1139. #553C2×D79semidirect
1159. #552C2×D79semidirect
1195. #541C2×D79semidirect
1217. #540C2×D79semidirect
1252. #532C2×D79semidirect
1274. #529C2×D79semidirect
1279. C2×#125C2×D79semidirect
1295. #520C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780892
#237780842
#237778932
#237777952
#237777942
#237776622
#237776592
#237776532
#237776502
#237774042
#237774022
#237774002
#237773992
#237773982
#237773762
#237773722
#237773682
#237773672
#237773662
#237773222
#237773182
#237773162
#237773152
#237766942
#237766932
C79×#35122
#6284079