Finite Group Databasebeta

← #35201856

Subgroups — #35201856

Order 20224.

6384 conjugacy classes of subgroups.

The subgroup lattice has 2192 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778045C212yesmaximal, complemented
2#23778042C214yesmaximal, complemented
3#23778009C212yesmaximal, complemented
4#23778003C211yesmaximal, characteristic, complemented
5#23777931C211yesmaximal, characteristic, complemented
6#23777928C212yesmaximal, complemented
7#23777906C212yesmaximal, complemented
8#23777900C214yesmaximal, complemented
9#23777871C212yesmaximal, complemented
10#23777862C214yesmaximal, complemented
11#23777837C212yesmaximal, complemented
12#23777834C214yesmaximal, complemented
13#23777811C211yesmaximal, characteristic, complemented
14#23777810C212yesmaximal, complemented
15#23777791C212yesmaximal, complemented
16#23777780C214yesmaximal, complemented
17#23777740C212yesmaximal, complemented
18#23777739C214yesmaximal, complemented
19#23777546C212yesmaximal, complemented
20#23777505C212yesmaximal, complemented
21#23777505C212yesmaximal, complemented
22#23777483C212yesmaximal, complemented
23#23777415C211yesmaximal, characteristic, complemented
24#23777404C211yesmaximal, characteristic, complemented
25#23777389C212yesmaximal, complemented
26#23777221C211yesmaximal, characteristic, complemented
27#23777212C212yesmaximal, complemented
28#23777205C212yesmaximal, complemented
29C79×#3531C211yesmaximal, characteristic, complemented
30C79⋊#564C2212yes—
31#19099317C2212yes—
32#19099317C2212yes—
33#19099317C2212yes—
34#19099315C2214yes—
35#19099315C2214yes—
36#19099315C2214yes—
37#19099315C2214yes—
38#19099314C2214yes—
39#19099313C2212yes—
40#19099312C2214yes—
41#19099312C2214yes—
42#19099310C2214yes—
43#19099310C2214yes—
44#19099309C2214yes—
45#19099309C2214yes—
46#19099308C2214yes—
47#19099307C2212yes—
48#19099298C2212yes—
49#19099298C2212yes—
50#19099298C2212yes—
51#19099297C2214yes—
52#19099297C2214yes—
53#19099295C2214yes—
54Q8×Dic158C2212yes—
55Q8×Dic158C2211yescharacteristic
56Q8×Dic158C2212yes—
57#19099293C2214yes—
58#19099291C2212yes—
59#19099291C2212yes—
60#19099291C2212yes—
61#19099291C2212yes—
62#19099291C2211yescharacteristic
63#19099291C2212yes—
64#19099291C2212yes—
65#19099290C2214yes—
66#19099290C2214yes—
67#19099288C2214yes—
68#19099287C2212yes—
69#19099286C2212yes—
70#19099286C2211yescharacteristic
71#19099284C2212yes—
72#19099283C2212yes—
73#19099280C2214yes—
74#19099280C2214yes—
75#19099280C2214yes—
76#19099278C2211yescharacteristic
77#19099278C2212yes—
78#19099278C2212yes—
79#19099277C2212yes—
80#19099275C2214yes—
81#19099275C2214yes—
82#19099273C2212yes—
83#19099273C2212yes—
84#19099273C2212yes—
85#19099273C2212yes—
86#19099271C2214yes—
87#19099271C2214yes—
88#19099270C2212yes—
89#19099270C2212yes—
90#19099269C2214yes—
91#19099267C2214yes—
92#19099267C2214yes—
93#19099267C2214yes—
94#19099264C2214yes—
95#19099259C2212yes—
96#19099259C2212yes—
97#19099259C2212yes—
98#19099259C2212yes—
99#19099258C2214yes—
100#19099258C2214yes—
101#19099256C2214yes—
102#19099255C2214yes—
103#19099253C2212yes—
104#19099253C2212yes—
105#19099253C2212yes—
106#19099251C2214yes—
107#19099250C2214yes—
108#19099249C2214yes—
109#19099249C2214yes—
110#19099245C2214yes—
111#19099245C2214yes—
112#19099245C2214yes—
113#19099245C2214yes—
114#19099235C2211yescharacteristic
115#19099234C2212yes—
116#19099234C2211yescharacteristic
117#19099231C2212yes—
118Q8×D316C2212yes—
119Q8×D316C2212yes—
120D4×Dic158C2211yescharacteristic
121#19099228C2212yes—
122#19099226C2214yes—
123#19099226C2214yes—
124#19099226C2214yes—
125#19099223C2214yes—
126#19099222C2212yes—
127#19099222C2212yes—
128#19099222C2212yes—
129#19099221C2214yes—
130#19099219C2214yes—
131#19099217C2212yes—
132#19099217C2211yescharacteristic
133#19099217C2212yes—
134#19099215C2214yes—
135#19099215C2212yes—
136#19099213C2214yes—
137#19099211C2214yes—
138#19099211C2214yes—
139#19099211C2214yes—
140#19099193C2214yes—
141#19099193C2214yes—
142#19099193C2214yes—
143#19099192C2214yes—
144#19099192C2214yes—
145#19099192C2212yes—
146#19099191C2211yescharacteristic
147#19099191C2212yes—
148#19099191C2212yes—
149#19099191C2212yes—
150#19099191C2212yes—
151#19099191C2211yescharacteristic
152#19099190C2212yes—
153#19099190C2212yes—
154#19099187C2214yes—
155#19099186C2214yes—
156#19099184C2212yes—
157#19099184C2212yes—
158#19099184C2212yes—
159#19099184C2212yes—
160#19099184C2212yes—
161#19099184C2212yes—
162#19099183C2214yes—
163#19099183C2214yes—
164#19099183C2214yes—
165#19099183C2214yes—
166#19099182C2214yes—
167#19099181C2214yes—
168#19099181C2214yes—
169#19099179C2214yes—
170#19099179C2214yes—
171#19099179C2214yes—
172#19099179C2214yes—
173#19099177C2214yes—
174#19099177C2214yes—
175#19099176C2214yes—
176#19099175C2212yes—
177#19099172C2214yes—
178#19099172C2214yes—
179#19099170C2214yes—
180#19099168C2212yes—
181#19099168C2212yes—
182#19099168C2212yes—
183#19099165C2214yes—
184#19099163C2214yes—
185#19099163C2214yes—
186#19099162C2212yes—
187#19099161C2214yes—
188#19099161C2214yes—
189#19099159C2214yes—
190#19099159C2214yes—
191#19099158C2212yes—
192#19099157C2214yes—
193#19099157C2214yes—
194#19099156C2214yes—
195#19099154C2214yes—
196#19099142C2214yes—
197#19099140C2212yes—
198#19099138C2214yes—
199#19099136C2214yes—
200#19099136C2214yes—
201#19099135C2214yes—
202#19099135C2214yes—
203#19099133C2214yes—
204#19099120C2211yescharacteristic
205#19099120C2212yes—
206#19099119C2212yes—
207#19099119C2212yes—
208#19099118C2214yes—
209#19099115C2214yes—
210#19099115C2214yes—
211#19099113C2211yescharacteristic
212#19099113C2212yes—
213#19099112C2212yes—
214#19099108C2214yes—
215C2×#14579161C2212yes—
216C4⋊Q8×D79C2214yes—
217#19099099C2214yes—
218#19099098C2212yes—
219#19099097C2212yes—
220#19099097C2212yes—
221#19099097C2212yes—
222#19099096C2214yes—
223#19099096C2214yes—
224#19099096C2214yes—
225#19099096C2214yes—
226#19099092C2212yes—
227#19099090C2214yes—
228#19099090C2214yes—
229C2×#14579153C2211yescharacteristic
230#125×D79C2212yes—
231#19099043C2212yes—
232#19099043C2212yes—
233#19099043C2211yescharacteristic
234#19099043C2211yescharacteristic
235#19099040C2212yes—
236#19099040C2212yes—
237C4×#11929624C2211yescharacteristic
238C4×#11929624C2212yes—
239C2×C4×Dic158C2212yes—
240#564×C79C2211yescharacteristic
241#563×C79C2211yescharacteristic
242#563×C79C2211yescharacteristic
243#563×C79C2212yes—
244#563×C79C2212yes—
245#563×C79C2212yes—
246#563×C79C2212yes—
247#562×C79C2212yes—
248#562×C79C2211yescharacteristic
249#562×C79C2212yes—
250#533×C79C2211yescharacteristic
251#533×C79C2212yes—
252#533×C79C2212yes—
253#529×C79C2212yes—
254#529×C79C2212yes—
255#529×C79C2211yescharacteristic
256#529×C79C2211yescharacteristic
257#529×C79C2212yes—
258#529×C79C2212yes—
259C2×#11929625C2312yes—
260C2×#11929624C2312yes—
261C2×#11929624C2311yescharacteristic
262C2×#11929624C2312yes—
263C2×#11929624C2314yes—
264C2×#11929623C2314yes—
265C2×#11929623C2314yes—
266C2×#11929623C2312yes—
267C22×Dic158C2312yes—
268C22×Dic158C2314yes—
269C2×Q8×D79C2314yes—
270C2×Q8×D79C2314yes—
271#14579161C2311yescharacteristic
272#14579161C2314yes—
273#14579161C2312yes—
274#14579161C2312yes—
275#14579161C2312yes—
276#14579161C2312yes—
277#14579161C2312yes—
278#14579161C2312yes—
279#14579161C2311yescharacteristic
280#14579161C2311yescharacteristic
281#14579161C2312yes—
282#14579161C2314yes—
283#14579160C2314yes—
284#14579160C2314yes—
285#14579160C2314yes—
286#14579160C2314yes—
287#14579160C2312yes—
288#14579160C2314yes—
289#14579160C2314yes—
290#14579160C2314yes—
291#14579160C2314yes—
292#14579160C2314yes—
293#14579160C2312yes—
294#14579160C2312yes—
295#14579160C2314yes—
296#14579160C2314yes—
297#14579160C2312yes—
298#14579159C2314yes—
299#14579159C2314yes—
300#14579159C2314yes—
301#14579159C2314yes—
302#14579159C2314yes—
303#14579159C2314yes—
304#14579159C2312yes—
305#14579158C2312yes—
306#14579158C2311yescharacteristic
307#14579157C2312yes—
308#14579157C2314yes—
309#14579156C2314yes—
310#14579156C2314yes—
311#14579156C2314yes—
312#14579156C2314yes—
313#14579156C2314yes—
314#14579156C2314yes—
315#14579156C2314yes—
316#14579156C2314yes—
317#14579156C2314yes—
318#14579156C2314yes—
319#14579156C2314yes—
320#14579156C2314yes—
321#14579156C2314yes—
322#14579155C2314yes—
323#14579155C2314yes—
324#14579155C2314yes—
325#14579154C2314yes—
326#14579154C2314yes—
327#14579154C2314yes—
328#14579154C2314yes—
329#14579154C2314yes—
330#14579154C2314yes—
331#14579154C2314yes—
332#14579153C2312yes—
333#14579153C2312yes—
334#14579153C2312yes—
335#14579153C2312yes—
336#14579153C2312yes—
337#14579153C2312yes—
338#14579153C2312yes—
339#14579153C2312yes—
340#14579153C2312yes—
341#14579153C2312yes—
342#14579152C2314yes—
343#14579152C2312yes—
344#14579152C2312yes—
345#14579152C2314yes—
346#14579152C2314yes—
347#14579152C2314yes—
348#14579152C2314yes—
349#14579152C2314yes—
350#14579151C2314yes—
351#14579151C2314yes—
352#14579151C2314yes—
353#14579151C2314yes—
354#14579151C2314yes—
355#14579151C2314yes—
356#14579151C2314yes—
357#14579151C2314yes—
358#14579151C2314yes—
359#14579151C2314yes—
360#14579151C2314yes—
361#14579151C2314yes—
362#14579151C2314yes—
363#14579151C2314yes—
364#14579151C2314yes—
365#14579151C2314yes—
366#14579151C2314yes—
367#14579151C2314yes—
368#14579150C2314yes—
369#14579150C2314yes—
370#14579150C2314yes—
371#14579149C2314yes—
372#14579149C2312yes—
373#14579149C2312yes—
374#14579149C2312yes—
375#14579149C2312yes—
376#14579148C2314yes—
377#14579147C2314yes—
378#14579147C2314yes—
379#14579147C2314yes—
380#14579147C2314yes—
381#14579147C2314yes—
382#14579147C2314yes—
383#14579147C2314yes—
384#14579147C2314yes—
385#14579147C2314yes—
386#14579147C2314yes—
387#14579147C2314yes—
388#14579147C2314yes—
389#14579147C2314yes—
390#14579147C2314yes—
391#14579146C2314yes—
392#14579146C2314yes—
393#14579146C2314yes—
394#14579146C2314yes—
395#14579146C2314yes—
396#14579146C2314yes—
397#14579146C2314yes—
398#14579146C2314yes—
399#14579146C2314yes—
400#14579146C2314yes—
401#14579146C2314yes—
402#14579146C2314yes—
403#14579145C2314yes—
404#14579145C2314yes—
405#14579145C2314yes—
406#14579145C2314yes—
407#14579145C2314yes—
408#14579144C2314yes—
409#14579144C2314yes—
410#14579144C2314yes—
411#14579143C2314yes—
412#14579143C2314yes—
413#14579143C2314yes—
414#14579143C2314yes—
415#14579143C2314yes—
416#14579143C2314yes—
417#14579143C2314yes—
418#14579143C2314yes—
419#14579143C2314yes—
420#14579143C2314yes—
421#14579142C2314yes—
422#14579142C2314yes—
423#14579142C2314yes—
424#14579141C2314yes—
425#14579141C2314yes—
426#14579141C2314yes—
427#14579141C2314yes—
428#14579141C2314yes—
429#14579141C2314yes—
430#14579141C2314yes—
431#14579141C2314yes—
432#14579141C2312yes—
433#14579140C2312yes—
434#14579140C2314yes—
435#14579140C2312yes—
436#14579140C2312yes—
437#14579140C2312yes—
438#14579140C2312yes—
439#14579140C2314yes—
440#14579139C2314yes—
441#14579139C2314yes—
442#14579139C2314yes—
443#14579139C2314yes—
444#14579139C2314yes—
445#14579139C2314yes—
446#14579139C2314yes—
447#14579139C2314yes—
448#14579139C2314yes—
449#14579139C2314yes—
450#14579139C2314yes—
451#14579139C2314yes—
452#14579139C2314yes—
453#14579139C2314yes—
454#14579139C2314yes—
455#14579139C2314yes—
456#14579139C2314yes—
457#14579138C2314yes—
458#14579138C2314yes—
459#14579138C2314yes—
460#14579138C2314yes—
461#14579138C2314yes—
462#14579138C2314yes—
463#14579138C2314yes—
464#14579138C2314yes—
465#14579138C2314yes—
466#14579138C2314yes—
467#14579138C2314yes—
468#14579138C2314yes—
469#14579138C2314yes—
470#14579138C2314yes—
471#14579138C2314yes—
472#14579137C2314yes—
473#14579137C2314yes—
474#14579137C2312yes—
475#14579137C2314yes—
476#14579137C2314yes—
477#14579137C2314yes—
478#14579136C2312yes—
479#14579136C2314yes—
480#14579135C2312yes—
481#14579135C2312yes—
482#14579135C2312yes—
483#14579135C2312yes—
484#14579135C2312yes—
485#14579135C2312yes—
486#14579135C2312yes—
487#14579135C2314yes—
488#14579134C2314yes—
489#14579134C2314yes—
490#14579134C2314yes—
491#14579134C2314yes—
492#14579134C2314yes—
493#14579134C2314yes—
494#14579134C2314yes—
495#14579134C2314yes—
496#14579134C2314yes—
497#14579133C2314yes—
498#14579133C2314yes—
499#14579133C2314yes—
500#14579133C2314yes—
501#14579133C2314yes—
502#14579133C2314yes—
503#14579133C2314yes—
504#14579132C2312yes—
505#14579132C2314yes—
506#14579132C2314yes—
507Q8×Dic79C2314yes—
508Q8×Dic79C2312yes—
509Q8×Dic79C2314yes—
510C4×Dic158C2312yes—
511C4×Dic158C2314yes—
512C4×Dic158C2314yes—
513C4×Dic158C2312yes—
514C4×Dic158C2312yes—
515C4×Dic158C2314yes—
516C4×Dic158C2314yes—
517C4×Dic158C2312yes—
518C4×Dic158C2312yes—
519C4×Dic158C2312yes—
520C4×Dic158C2312yes—
521C4×Dic158C2312yes—
522C4×Dic158C2312yes—
523C4×Dic158C2312yes—
524C4×Dic158C2311yescharacteristic
525C4×Dic158C2312yes—
526C4×Dic158C2311yescharacteristic
527#14579126C2314yes—
528#14579126C2314yes—
529#14579126C2314yes—
530#14579126C2314yes—
531#14579126C2314yes—
532#14579126C2314yes—
533#14579126C2314yes—
534#14579126C2314yes—
535#14579126C2314yes—
536#14579126C2314yes—
537#14579126C2312yes—
538#14579126C2314yes—
539C4×D316C2312yes—
540C4×D316C2314yes—
541C4×D316C2311yescharacteristic
542C4×D316C2312yes—
543C4×D316C2312yes—
544C4×D316C2312yes—
545C4×D316C2312yes—
546C4×D316C2312yes—
547C4×D316C2311yescharacteristic
548C4×D316C2312yes—
549C4×D316C2312yes—
550C4×D316C2312yes—
551D4×Dic79C2314yes—
552D4×Dic79C2314yes—
553D4×Dic79C2312yes—
554#14579123C2314yes—
555#14579123C2314yes—
556#14579123C2314yes—
557#14579123C2312yes—
558#14579123C2314yes—
559C4×C22⋊D79C2314yes—
560C4×C22⋊D79C2314yes—
561C4×C22⋊D79C2314yes—
562C4×C22⋊D79C2314yes—
563C4×C22⋊D79C2314yes—
564C4×C22⋊D79C2312yes—
565C4×C22⋊D79C2312yes—
566(C22⋊D79)⋊C4C2314yes—
567(C22⋊D79)⋊C4C2314yes—
568(C22⋊D79)⋊C4C2314yes—
569(C22⋊D79)⋊C4C2314yes—
570(C22⋊D79)⋊C4C2314yes—
571(C22⋊D79)⋊C4C2314yes—
572(C22⋊D79)⋊C4C2314yes—
573(C22⋊D79)⋊C4C2314yes—
574(C22⋊D79)⋊C4C2314yes—
575(C22⋊D79)⋊C4C2314yes—
576(C22⋊D79)⋊C4C2314yes—
577(C22⋊D79)⋊C4C2314yes—
578(C22⋊D79)⋊C4C2314yes—
579#14579120C2312yes—
580#14579120C2312yes—
581#14579120C2311yescharacteristic
582#14579120C2312yes—
583#14579120C2312yes—
584#14579119C2314yes—
585#14579119C2314yes—
586#14579119C2314yes—
587#14579119C2312yes—
588#14579119C2312yes—
589#14579119C2314yes—
590#14579119C2314yes—
591#14579119C2312yes—
592#14579119C2312yes—
593#14579118C2314yes—
594#14579118C2314yes—
595#14579118C2314yes—
596#14579118C2312yes—
597#14579118C2314yes—
598#14579117C2314yes—
599#14579117C2314yes—
600#14579117C2314yes—
601#14579117C2314yes—
602#14579117C2314yes—
603#14579117C2314yes—
604#14579117C2314yes—
605C2×C4⋊Dic79C2314yes—
606C2×C4⋊Dic79C2312yes—
607C2×C4⋊Dic79C2311yescharacteristic
608C2×C4⋊Dic79C2312yes—
609C2×C4⋊Dic79C2312yes—
610C2×C4⋊Dic79C2311yescharacteristic
611C2×Dic79⋊C4C2312yes—
612C2×Dic79⋊C4C2312yes—
613C2×Dic79⋊C4C2314yes—
614C4⋊C4×D79C2314yes—
615C4⋊C4×D79C2314yes—
616C4⋊C4×D79C2314yes—
617C4⋊C4×D79C2314yes—
618C4⋊C4×D79C2312yes—
619C4⋊C4×D79C2312yes—
620C4⋊C4×D79C2314yes—
621C4⋊C4×D79C2314yes—
622C2×C4×Dic79C2314yes—
623C42×D79C2312yes—
624C42×D79C2314yes—
625C4⋊Q8×C79C2312yes—
626C4⋊Q8×C79C2312yes—
627C4⋊Q8×C79C2311yescharacteristic
628C4⋊Q8×C79C2311yescharacteristic
629C4⋊Q8×C79C2312yes—
630C4⋊Q8×C79C2312yes—
631#126×C79C2312yes—
632#126×C79C2312yes—
633#126×C79C2312yes—
634#126×C79C2312yes—
635#126×C79C2312yes—
636#126×C79C2312yes—
637#126×C79C2312yes—
638#126×C79C2312yes—
639#126×C79C2312yes—
640#126×C79C2312yes—
641#125×C79C2312yes—
642#125×C79C2312yes—
643#125×C79C2312yes—
644#125×C79C2312yes—
645#125×C79C2312yes—
646#125×C79C2312yes—
647#125×C79C2312yes—
648#125×C79C2312yes—
649#125×C79C2311yescharacteristic
650#125×C79C2311yescharacteristic
651#125×C79C2311yescharacteristic
652#125×C79C2311yescharacteristic
653#124×C79C2312yes—
654#124×C79C2312yes—
655#124×C79C2312yes—
656#124×C79C2312yes—
657#124×C79C2311yescharacteristic
658#124×C79C2311yescharacteristic
659#123×C79C2312yes—
660#123×C79C2312yes—
661#123×C79C2312yes—
662#123×C79C2312yes—
663#123×C79C2312yes—
664#123×C79C2312yes—
665#123×C79C2312yes—
666#123×C79C2312yes—
667#123×C79C2312yes—
668#123×C79C2312yes—
669C22⋊Q8×C79C2312yes—
670C22⋊Q8×C79C2312yes—
671C22⋊Q8×C79C2312yes—
672C22⋊Q8×C79C2312yes—
673C22⋊Q8×C79C2311yescharacteristic
674C22⋊Q8×C79C2312yes—
675C22⋊Q8×C79C2312yes—
676C22⋊Q8×C79C2312yes—
677C22⋊Q8×C79C2312yes—
678C22⋊Q8×C79C2312yes—
679C22⋊Q8×C79C2311yescharacteristic
680C22⋊Q8×C79C2312yes—
681C22⋊Q8×C79C2312yes—
682C22⋊Q8×C79C2312yes—
683C22⋊Q8×C79C2312yes—
684C22⋊Q8×C79C2312yes—
685#121×C79C2311yescharacteristic
686#121×C79C2312yes—
687#121×C79C2311yescharacteristic
688#121×C79C2312yes—
689#121×C79C2312yes—
690#121×C79C2312yes—
691C4×Q8×C79C2312yes—
692C4×Q8×C79C2312yes—
693C4×Q8×C79C2311yescharacteristic
694C4×Q8×C79C2311yescharacteristic
695C4×Q8×C79C2312yes—
696C4×Q8×C79C2312yes—
697C4×D4×C79C2312yes—
698C4×D4×C79C2312yes—
699C4×D4×C79C2311yescharacteristic
700C4×D4×C79C2312yes—
701C4×D4×C79C2311yescharacteristic
702C4×D4×C79C2312yes—
703#117×C79C2312yes—
704#117×C79C2312yes—
705#117×C79C2312yes—
706#117×C79C2312yes—
707#117×C79C2311yescharacteristic
708#117×C79C2311yescharacteristic
709C2×C42×C79C2312yes—
710C2×C42×C79C2311yescharacteristic
711C2×C42×C79C2312yes—
712#11929625—82no—
713#11929624—28no—
714#11929624—24no—
715#11929624—84no—
716#11929624—82no—
717#11929623—82no—
718#11929623—84no—
719#11929623—84no—
720C2×Dic158—28no—
721C2×Dic158—84no—
722C2×Dic158C2414yes—
723C2×Dic158C2412yes—
724C2×Dic158C2412yes—
725C2×Dic158C2414yes—
726C2×Dic158C2414yes—
727C2×Dic158C2414yes—
728C2×Dic158C2414yes—
729C2×Dic158C2414yes—
730C2×Dic158C2414yes—
731C2×Dic158C2412yes—
732C2×Dic158C2414yes—
733C2×Dic158C2411yescharacteristic
734Q8×D79—84no—
735Q8×D79—84no—
736C2×D316C2411yescharacteristic
737C2×D316C2412yes—
738C2×D316C2414yes—
739C2×D316C2412yes—
740C2×D316C2412yes—
741C2×D316C2414yes—
742C2×C22⋊D79C2414yes—
743C2×C22⋊D79C2412yes—
744C2×C22⋊D79C2414yes—
745C2×C22⋊D79C2414yes—
746C2×C22⋊D79C2414yes—
747C2×C22⋊D79C2414yes—
748C2×C22⋊D79C2414yes—
749C2×C22⋊D79C2414yes—
750C22×Dic79C2414yes—
751C22×Dic79C2414yes—
752C22×Dic79C2414yes—
753C22×Dic79C2414yes—
754C22×Dic79C2412yes—
755C22×Dic79C2412yes—
756C2×C4×D79C2412yes—
757C2×C4×D79C2414yes—
758C2×C4×D79C2414yes—
759C2×C4×D79C2414yes—
760C2×C4×D79C2414yes—
761C2×C4×D79C2414yes—
762C2×C4×D79C2414yes—
763C2×C4×D79C2414yes—
764C2×C4×D79C2412yes—
765C2×C4×D79C2412yes—
766C2×C4×D79C2414yes—
767C2×C4×D79C2414yes—
768C4⋊Dic79C2412yes—
769C4⋊Dic79C2414yes—
770C4⋊Dic79C2414yes—
771C4⋊Dic79C2412yes—
772C4⋊Dic79C2414yes—
773C4⋊Dic79C2414yes—
774C4⋊Dic79C2414yes—
775C4⋊Dic79C2414yes—
776C4⋊Dic79C2412yes—
777C4⋊Dic79C2411yescharacteristic
778C4⋊Dic79C2412yes—
779C4⋊Dic79C2414yes—
780C4⋊Dic79C2412yes—
781C4⋊Dic79C2412yes—
782C4⋊Dic79C2414yes—
783C4⋊Dic79C2412yes—
784C4⋊Dic79C2412yes—
785C4⋊Dic79C2412yes—
786C4⋊Dic79C2411yescharacteristic
787C4⋊Dic79C2414yes—
788C4⋊Dic79C2412yes—
789C4⋊Dic79C2414yes—
790Dic79⋊C4C2414yes—
791Dic79⋊C4C2412yes—
792Dic79⋊C4C2414yes—
793Dic79⋊C4C2414yes—
794Dic79⋊C4C2414yes—
795Dic79⋊C4C2414yes—
796Dic79⋊C4C2414yes—
797Dic79⋊C4C2414yes—
798Dic79⋊C4C2414yes—
799Dic79⋊C4C2414yes—
800Dic79⋊C4C2414yes—
801Dic79⋊C4C2414yes—
802Dic79⋊C4C2414yes—
803Dic79⋊C4C2414yes—
804Dic79⋊C4C2414yes—
805Dic79⋊C4C2412yes—
806Dic79⋊C4C2414yes—
807Dic79⋊C4C2414yes—
808Dic79⋊C4C2414yes—
809Dic79⋊C4C2414yes—
810Dic79⋊C4C2414yes—
811Dic79⋊C4C2414yes—
812Dic79⋊C4C2414yes—
813Dic79⋊C4C2414yes—
814Dic79⋊C4C2414yes—
815Dic79⋊C4C2414yes—
816Dic79⋊C4C2414yes—
817Dic79⋊C4C2414yes—
818Dic79⋊C4C2414yes—
819Dic79⋊C4C2414yes—
820C22⋊Dic79C2414yes—
821C22⋊Dic79C2414yes—
822C22⋊Dic79C2414yes—
823C22⋊Dic79C2414yes—
824C22⋊Dic79C2414yes—
825C22⋊Dic79C2412yes—
826C22⋊Dic79C2414yes—
827C22⋊Dic79C2414yes—
828(C2×D79)⋊C4C2414yes—
829(C2×D79)⋊C4C2414yes—
830(C2×D79)⋊C4C2414yes—
831(C2×D79)⋊C4C2414yes—
832(C2×D79)⋊C4C2414yes—
833(C2×D79)⋊C4C2414yes—
834(C2×D79)⋊C4C2414yes—
835(C2×D79)⋊C4C2414yes—
836(C2×D79)⋊C4C2412yes—
837(C2×D79)⋊C4C2412yes—
838(C2×D79)⋊C4C2414yes—
839(C2×D79)⋊C4C2414yes—
840(C2×D79)⋊C4C2414yes—
841(C2×D79)⋊C4C2414yes—
842(C2×D79)⋊C4C2414yes—
843(C2×D79)⋊C4C2414yes—
844(C2×D79)⋊C4C2414yes—
845(C2×D79)⋊C4C2414yes—
846(C2×D79)⋊C4C2414yes—
847(C2×D79)⋊C4C2414yes—
848(C2×D79)⋊C4C2414yes—
849(C2×D79)⋊C4C2414yes—
850C4×Dic79C2414yes—
851C4×Dic79C2412yes—
852C4×Dic79C2414yes—
853C4×Dic79C2414yes—
854C4×Dic79C2412yes—
855C4×Dic79C2412yes—
856C4×Dic79C2414yes—
857C4×Dic79C2414yes—
858C4×Dic79C2414yes—
859C4×Dic79C2414yes—
860C4×Dic79C2414yes—
861C4×Dic79C2414yes—
862C4×Dic79C2414yes—
863C4×Dic79C2414yes—
864C4×Dic79C2414yes—
865C4×Dic79C2414yes—
866C2×Q8×C79C2412yes—
867C2×Q8×C79C2412yes—
868C2×Q8×C79C2411yescharacteristic
869C2×Q8×C79C2411yescharacteristic
870C2×Q8×C79C2412yes—
871C2×Q8×C79C2412yes—
872C2×D4×C79C2412yes—
873C2×D4×C79C2412yes—
874C2×D4×C79C2411yescharacteristic
875C2×D4×C79C2412yes—
876C2×D4×C79C2411yescharacteristic
877C2×D4×C79C2412yes—
878C22×C4×C79C2412yes—
879C22×C4×C79C2411yescharacteristic
880C22×C4×C79C2412yes—
881C22×C4×C79C2412yes—
882C22×C4×C79C2412yes—
883C22×C4×C79C2411yescharacteristic
884C22×C4×C79C2412yes—
885C22×C4×C79C2411yescharacteristic
886C22×C4×C79C2412yes—
887C4⋊C4×C79C2412yes—
888C4⋊C4×C79C2411yescharacteristic
889C4⋊C4×C79C2412yes—
890C4⋊C4×C79C2411yescharacteristic
891C4⋊C4×C79C2412yes—
892C4⋊C4×C79C2412yes—
893C4⋊C4×C79C2411yescharacteristic
894C4⋊C4×C79C2412yes—
895C4⋊C4×C79C2411yescharacteristic
896C4⋊C4×C79C2412yes—
897C4⋊C4×C79C2412yes—
898C4⋊C4×C79C2412yes—
899C4⋊C4×C79C2412yes—
900C4⋊C4×C79C2412yes—
901C4⋊C4×C79C2411yescharacteristic
902C4⋊C4×C79C2411yescharacteristic
903C4⋊C4×C79C2412yes—
904C4⋊C4×C79C2412yes—
905C4⋊C4×C79C2412yes—
906C4⋊C4×C79C2412yes—
907C4⋊C4×C79C2411yescharacteristic
908C4⋊C4×C79C2412yes—
909C4⋊C4×C79C2411yescharacteristic
910C4⋊C4×C79C2412yes—
911C4⋊C4×C79C2412yes—
912C4⋊C4×C79C2412yes—
913C4⋊C4×C79C2412yes—
914C4⋊C4×C79C2412yes—
915C4⋊C4×C79C2412yes—
916C4⋊C4×C79C2412yes—
917C4⋊C4×C79C2412yes—
918C4⋊C4×C79C2412yes—
919C4⋊C4×C79C2412yes—
920C4⋊C4×C79C2412yes—
921C22⋊C4×C79C2412yes—
922C22⋊C4×C79C2412yes—
923C22⋊C4×C79C2412yes—
924C22⋊C4×C79C2412yes—
925C22⋊C4×C79C2412yes—
926C22⋊C4×C79C2412yes—
927C22⋊C4×C79C2412yes—
928C22⋊C4×C79C2412yes—
929C22⋊C4×C79C2412yes—
930C22⋊C4×C79C2412yes—
931C22⋊C4×C79C2412yes—
932C22⋊C4×C79C2412yes—
933C22⋊C4×C79C2412yes—
934C22⋊C4×C79C2412yes—
935C22⋊C4×C79C2412yes—
936C22⋊C4×C79C2412yes—
937C22⋊C4×C79C2412yes—
938C22⋊C4×C79C2412yes—
939C22⋊C4×C79C2412yes—
940C22⋊C4×C79C2412yes—
941C42×C79C2411yescharacteristic
942C42×C79C2412yes—
943C42×C79C2412yes—
944C42×C79C2412yes—
945C42×C79C2411yescharacteristic
946C42×C79C2412yes—
947C42×C79C2411yescharacteristic
948C42×C79C2412yes—
949C42×C79C2412yes—
950C42×C79C2412yes—
951C42×C79C2411yescharacteristic
952C42×C79C2412yes—
953C23×C79C2511yescharacteristic
954C23×C79C2512yes—
955C23×C79C2512yes—
956C22×D79C2512yes—
957C22×D79C2514yes—
958Q8×C79—42no—
959Q8×C79—42no—
960Q8×C79—41no—
961Q8×C79—42no—
962Q8×C79—41no—
963Q8×C79—42no—
964D4×C79—42no—
965D4×C79—42no—
966D4×C79—41no—
967D4×C79—42no—
968D4×C79—41no—
969D4×C79—42no—
970C2×C4×C79—24no—
971C2×C4×C79—22no—
972C2×C4×C79—24no—
973C2×C4×C79—42no—
974C2×C4×C79—42no—
975C2×C4×C79—41no—
976C2×C4×C79—42no—
977C2×C4×C79—41no—
978C2×C4×C79—42no—
979C2×C4×C79C2512yes—
980C2×C4×C79C2512yes—
981C2×C4×C79C2511yescharacteristic
982C2×C4×C79C2512yes—
983C2×C4×C79C2512yes—
984C2×C4×C79C2511yescharacteristic
985C2×C4×C79C2512yes—
986C2×C4×C79C2511yescharacteristic
987C2×C4×C79C2512yes—
988C2×C4×C79C2512yes—
989C2×C4×C79C2512yes—
990C2×C4×C79C2512yes—
991C2×C4×C79C2511yescharacteristic
992C2×C4×C79C2511yescharacteristic
993C2×C4×C79C2512yes—
994C2×C4×C79C2511yescharacteristic
995C22⋊D79—28no—
996C22⋊D79—24no—
997C22⋊D79—44no—
998C22⋊D79—44no—
999C22⋊D79—44no—
1000C22⋊D79—44no—
1001C22⋊D79—44no—
1002C22⋊D79—44no—
1003C2×Dic79—28no—
1004C2×Dic79—42no—
1005C2×Dic79—44no—
1006C2×Dic79—44no—
1007C2×Dic79—44no—
1008C2×Dic79—42no—
1009C2×Dic79C2514yes—
1010C2×Dic79C2512yes—
1011C2×Dic79C2514yes—
1012C2×Dic79C2514yes—
1013C2×Dic79C2514yes—
1014C2×Dic79C2512yes—
1015C2×Dic79C2514yes—
1016C2×Dic79C2512yes—
1017D316—22no—
1018D316—24no—
1019D316—44no—
1020D316—42no—
1021D316—42no—
1022D316—44no—
1023C4×D79—24no—
1024C4×D79—28no—
1025C4×D79—42no—
1026C4×D79—44no—
1027C4×D79—44no—
1028C4×D79—44no—
1029C4×D79—44no—
1030C4×D79—44no—
1031C4×D79—44no—
1032C4×D79—44no—
1033C4×D79—44no—
1034C4×D79—42no—
1035Dic158—24no—
1036Dic158—28no—
1037Dic158—42no—
1038Dic158—44no—
1039Dic158—44no—
1040Dic158—44no—
1041Dic158—44no—
1042Dic158—44no—
1043Dic158—44no—
1044Dic158—44no—
1045Dic158—42no—
1046Dic1582−1+414yes—
1047C22×C79—21no—
1048C22×C79—22no—
1049C22×C79—22no—
1050C22×C79—21no—
1051C22×C79—22no—
1052C22×C79—22no—
1053C22×C79—22no—
1054C22×C79—22no—
1055C22×C79—21no—
1056C22×C79C2611yescharacteristic
1057C2×D79—22no—
1058C2×D79—24no—
1059C2×D79—22no—
1060C2×D79—24no—
1061C2×D79—24no—
1062C2×D79—22no—
1063C4×C79—22no—
1064C4×C79—22no—
1065C4×C79—21no—
1066C4×C79—22no—
1067C4×C79—22no—
1068C4×C79—21no—
1069C4×C79—22no—
1070C4×C79—21no—
1071C4×C79—22no—
1072C4×C79—22no—
1073C4×C79—21no—
1074C4×C79—22no—
1075C4×C79—22no—
1076C4×C79—22no—
1077C4×C79—21no—
1078C4×C79C2×2−1+412yes—
1079Dic79—24no—
1080Dic79—24no—
1081Dic79—24no—
1082Dic79—24no—
1083Dic79—22no—
1084Dic79—22no—
1085Dic79—24no—
1086Dic79C2×2−1+414yes—
1087#63061—791nomaximal, Sylow
1088C2×C79—41no—
1089C2×C79—42no—
1090C2×C79—42no—
1091C2×C79C22×2−1+411yescharacteristic
1092C2×C79H(7,𝔽2)11yescharacteristic
1093C2×C792−1+611yescharacteristic
1094D79—42no—
1095D79—44no—
1096#3565—794no—
1097#3565—792no—
1098#3563—792no—
1099#3563—791no—
1100#3559—792no—
1101#3559—791no—
1102#3557—794no—
1103#3557—792no—
1104#3554—794no—
1105#3554—792no—
1106#3552—794no—
1107#3552—792no—
1108#3550—792no—
1109#3550—791no—
1110#3547—794no—
1111#3547—792no—
1112#3544—794no—
1113#3544—792no—
1114#3531—792no—
1115#3531D7911yescharacteristic, complemented
1116#3524—792no—
1117#3524—792no—
1118#3522—792no—
1119#3518—791no—
1120#3517—791no—
1121#3516—792no—
1122#3504—791no—
1123#3503—792no—
1124#3502—792no—
1125C79#6306111yescharacteristic, complemented, Sylow
1126#564—792no—
1127#564C2×D7911yescharacteristic
1128#563—794no—
1129#563—794no—
1130#563—794no—
1131#563—794no—
1132#563—794no—
1133#563—794no—
1134#563—792no—
1135#563—792no—
1136#563—792no—
1137#563—792no—
1138#563—794no—
1139#563C2×D7911yescharacteristic
1140#563C2×D7912yes—
1141#563C2×D7911yescharacteristic
1142#563C2×D7912yes—
1143#563C2×D7912yes—
1144#563C2×D7912yes—
1145#562—792no—
1146#562—794no—
1147#562—794no—
1148#562—794no—
1149#562—794no—
1150#562—794no—
1151#562C2×D7912yes—
1152#562C2×D7912yes—
1153#562C2×D7911yescharacteristic
1154#559—794no—
1155#559—794no—
1156#559—794no—
1157#559—792no—
1158#559—792no—
1159#559—792no—
1160Q82—794no—
1161Q82—792no—
1162Q82—792no—
1163Q82—791no—
1164#557—794no—
1165#557—794no—
1166#557—794no—
1167#557—791no—
1168#557—792no—
1169#557—792no—
1170#557—792no—
1171#557—792no—
1172#557—792no—
1173#557—792no—
1174#556—792no—
1175#556—794no—
1176#556—794no—
1177#556—794no—
1178#556—792no—
1179#556—792no—
1180#556—791no—
1181#556—792no—
1182#555—794no—
1183#555—794no—
1184#555—792no—
1185#555—791no—
1186#555—792no—
1187#555—792no—
1188#554—794no—
1189#554—794no—
1190#554—794no—
1191#554—794no—
1192#554—794no—
1193#554—794no—
1194#554—792no—
1195#554—792no—
1196#554—792no—
1197#554—792no—
1198#554—792no—
1199#554—792no—
1200#553—794no—
1201#553—794no—
1202#553—794no—
1203#553—794no—
1204#553—792no—
1205#553—792no—
1206#553—792no—
1207#553—792no—
1208#552—794no—
1209#552—794no—
1210#552—794no—
1211#552—794no—
1212#552—794no—
1213#552—794no—
1214#552—794no—
1215#552—794no—
1216#552—794no—
1217#552—792no—
1218#552—792no—
1219#552—792no—
1220#550—792no—
1221#550—791no—
1222#550—792no—
1223#550—791no—
1224D4×Q8—792no—
1225D4×Q8—794no—
1226D4×Q8—794no—
1227D4×Q8—794no—
1228D4×Q8—792no—
1229D4×Q8—792no—
1230D4×Q8—791no—
1231#548—794no—
1232#548—794no—
1233#548—794no—
1234#548—792no—
1235#548—792no—
1236#548—792no—
1237#547—794no—
1238#547—794no—
1239#547—794no—
1240#547—792no—
1241#547—794no—
1242#547—794no—
1243#547—791no—
1244#547—792no—
1245#547—792no—
1246#544—792no—
1247#544—792no—
1248#544—794no—
1249#544—794no—
1250#544—794no—
1251#544—794no—
1252#544—794no—
1253#544—792no—
1254#544—792no—
1255#544—792no—
1256#544—792no—
1257#544—792no—
1258#544—791no—
1259#544—791no—
1260#542—794no—
1261#542—794no—
1262#542—794no—
1263#542—794no—
1264#542—794no—
1265#542—794no—
1266#542—794no—
1267#542—794no—
1268#542—794no—
1269#542—794no—
1270#542—794no—
1271#542—794no—
1272#542—794no—
1273#542—794no—
1274#542—794no—
1275#542—792no—
1276#542—792no—
1277#542—792no—
1278#542—792no—
1279#542—792no—
1280#542—792no—
1281#541—794no—
1282#541—794no—
1283#541—794no—
1284#541—794no—
1285#541—792no—
1286#540—794no—
1287#540—794no—
1288#540—794no—
1289#540—792no—
1290#540—792no—
1291#540—792no—
1292#539—794no—
1293#539—794no—
1294#539—794no—
1295#539—794no—
1296#539—794no—
1297#539—794no—
1298#539—794no—
1299#539—794no—
1300#539—792no—
1301#539—792no—
1302#537—792no—
1303#537—794no—
1304#536—794no—
1305#536—794no—
1306#536—794no—
1307#536—794no—
1308#536—794no—
1309#536—794no—
1310#533—794no—
1311#533—792no—
1312#533—792no—
1313#533—794no—
1314#533—794no—
1315#533—792no—
1316#533—791no—
1317#533C2×D7912yes—
1318#533C2×D7912yes—
1319#533C2×D7911yescharacteristic
1320#532—792no—
1321#532—794no—
1322#532—791no—
1323#532—792no—
1324C2×C4⋊Q8—794no—
1325C2×C4⋊Q8—792no—
1326#529—794no—
1327#529—794no—
1328#529—794no—
1329#529—794no—
1330#529—792no—
1331#529—792no—
1332#529—794no—
1333#529—794no—
1334#529—794no—
1335#529—792no—
1336#529—792no—
1337#529—792no—
1338#529C2×D7912yes—
1339#529C2×D7911yescharacteristic
1340#529C2×D7911yescharacteristic
1341#529C2×D7912yes—
1342#529C2×D7912yes—
1343#529C2×D7912yes—
1344C2×#125—792no—
1345C2×#125—791no—
1346#520—792no—
1347#520—792no—
1348#520—791no—
1349#520—791no—
1350#519—792no—
1351#519—792no—
1352C4×#41—792no—
1353C4×#41—791no—
1354C2×C4×Q8—792no—
1355C2×#41—792no—
1356C2×#41—792no—
1357C2×#41—794no—
1358C2×#41—794no—
1359C2×#41—792no—
1360C2×#41—794no—
1361C2×#41—792no—
1362C2×#41—791no—
1363C22×Q8—794no—
1364C22×Q8—794no—
1365C22×Q8—794no—
1366C22×Q8—792no—
1367C4⋊Q8—794no—
1368C4⋊Q8—794no—
1369C4⋊Q8—792no—
1370C4⋊Q8—794no—
1371C4⋊Q8—794no—
1372C4⋊Q8—794no—
1373C4⋊Q8—794no—
1374C4⋊Q8—794no—
1375C4⋊Q8—794no—
1376C4⋊Q8—794no—
1377C4⋊Q8—794no—
1378C4⋊Q8—794no—
1379C4⋊Q8—794no—
1380C4⋊Q8—792no—
1381C4⋊Q8—794no—
1382C4⋊Q8—792no—
1383C4⋊Q8—792no—
1384C4⋊Q8—792no—
1385C4⋊Q8—794no—
1386C4⋊Q8—794no—
1387C4⋊Q8—794no—
1388C4⋊Q8—794no—
1389C4⋊Q8—794no—
1390C4⋊Q8—794no—
1391C4⋊Q8—792no—
1392C4⋊Q8—792no—
1393C4⋊Q8—792no—
1394C4⋊Q8—792no—
1395C4⋊Q8—791no—
1396C4⋊Q8—792no—
1397C4⋊Q8—791no—
1398C4⋊Q8—792no—
1399C4⋊Q8—792no—
1400C4⋊Q8—791no—
1401C4⋊Q8C22×D7912yes—
1402C4⋊Q8C22×D7912yes—
1403C4⋊Q8C22×D7912yes—
1404C4⋊Q8C22×D7912yes—
1405C4⋊Q8C22×D7911yescharacteristic
1406C4⋊Q8C22×D7911yescharacteristic
1407#127—792no—
1408#127—794no—
1409#127—791no—
1410#127—792no—
1411#126—794no—
1412#126—794no—
1413#126—794no—
1414#126—794no—
1415#126—794no—
1416#126—794no—
1417#126—794no—
1418#126—794no—
1419#126—794no—
1420#126—794no—
1421#126—794no—
1422#126—794no—
1423#126—794no—
1424#126—794no—
1425#126—794no—
1426#126—794no—
1427#126—794no—
1428#126—794no—
1429#126—794no—
1430#126—794no—
1431#126—794no—
1432#126—794no—
1433#126—794no—
1434#126C22×D7912yes—
1435#126C22×D7912yes—
1436#126C22×D7912yes—
1437#126C22×D7912yes—
1438#126C22×D7912yes—
1439#126C22×D7912yes—
1440#126C22×D7912yes—
1441#126C22×D7912yes—
1442#126C22×D7912yes—
1443#126C22×D7912yes—
1444#125—792no—
1445#125—792no—
1446#125—794no—
1447#125—794no—
1448#125—794no—
1449#125—794no—
1450#125—794no—
1451#125—794no—
1452#125—794no—
1453#125—794no—
1454#125—794no—
1455#125—794no—
1456#125—794no—
1457#125—794no—
1458#125—794no—
1459#125—794no—
1460#125—794no—
1461#125—794no—
1462#125—794no—
1463#125—794no—
1464#125—794no—
1465#125—794no—
1466#125—794no—
1467#125—794no—
1468#125—794no—
1469#125—794no—
1470#125—792no—
1471#125—792no—
1472#125—792no—
1473#125—792no—
1474#125—792no—
1475#125—792no—
1476#125—792no—
1477#125—792no—
1478#125—792no—
1479#125—792no—
1480#125C22×D7911yescharacteristic
1481#125C22×D7911yescharacteristic
1482#125C22×D7911yescharacteristic
1483#125C22×D7912yes—
1484#125C22×D7912yes—
1485#125C22×D7912yes—
1486#125C22×D7912yes—
1487#125C22×D7911yescharacteristic
1488#125C22×D7912yes—
1489#125C22×D7912yes—
1490#125C22×D7912yes—
1491#125C22×D7912yes—
1492#124—794no—
1493#124—794no—
1494#124—794no—
1495#124—794no—
1496#124—794no—
1497#124—794no—
1498#124—794no—
1499#124—794no—
1500#124—794no—
1501#124—794no—
1502#124—794no—
1503#124—794no—
1504#124—794no—
1505#124—794no—
1506#124—794no—
1507#124—794no—
1508#124—794no—
1509#124—794no—
1510#124—792no—
1511#124—792no—
1512#124—792no—
1513#124—792no—
1514#124—794no—
1515#124C22×D7911yescharacteristic
1516#124C22×D7911yescharacteristic
1517#124C22×D7912yes—
1518#124C22×D7912yes—
1519#124C22×D7912yes—
1520#124C22×D7912yes—
1521#123—794no—
1522#123—794no—
1523#123—794no—
1524#123—794no—
1525#123—794no—
1526#123—794no—
1527#123—794no—
1528#123—794no—
1529#123—794no—
1530#123—794no—
1531#123—794no—
1532#123—794no—
1533#123—794no—
1534#123—794no—
1535#123—794no—
1536#123—794no—
1537#123—794no—
1538#123—794no—
1539#123—794no—
1540#123—794no—
1541#123—794no—
1542#123—794no—
1543#123—794no—
1544#123—794no—
1545#123—794no—
1546#123—794no—
1547#123—794no—
1548#123—794no—
1549#123—794no—
1550#123—794no—
1551#123—794no—
1552#123—794no—
1553#123—794no—
1554#123C22×D7912yes—
1555#123C22×D7912yes—
1556#123C22×D7912yes—
1557#123C22×D7912yes—
1558#123C22×D7912yes—
1559#123C22×D7912yes—
1560#123C22×D7912yes—
1561#123C22×D7912yes—
1562#123C22×D7912yes—
1563#123C22×D7912yes—
1564C22⋊Q8—792no—
1565C22⋊Q8—794no—
1566C22⋊Q8—794no—
1567C22⋊Q8—794no—
1568C22⋊Q8—794no—
1569C22⋊Q8—794no—
1570C22⋊Q8—792no—
1571C22⋊Q8—792no—
1572C22⋊Q8—792no—
1573C22⋊Q8—794no—
1574C22⋊Q8—792no—
1575C22⋊Q8—794no—
1576C22⋊Q8—792no—
1577C22⋊Q8—794no—
1578C22⋊Q8—794no—
1579C22⋊Q8—794no—
1580C22⋊Q8—794no—
1581C22⋊Q8—792no—
1582C22⋊Q8—794no—
1583C22⋊Q8—794no—
1584C22⋊Q8—794no—
1585C22⋊Q8—794no—
1586C22⋊Q8—794no—
1587C22⋊Q8—794no—
1588C22⋊Q8—794no—
1589C22⋊Q8—794no—
1590C22⋊Q8—794no—
1591C22⋊Q8—794no—
1592C22⋊Q8—794no—
1593C22⋊Q8—794no—
1594C22⋊Q8—794no—
1595C22⋊Q8—794no—
1596C22⋊Q8—794no—
1597C22⋊Q8—794no—
1598C22⋊Q8—794no—
1599C22⋊Q8—794no—
1600C22⋊Q8—794no—
1601C22⋊Q8—794no—
1602C22⋊Q8—794no—
1603C22⋊Q8—794no—
1604C22⋊Q8—794no—
1605C22⋊Q8—794no—
1606C22⋊Q8—794no—
1607C22⋊Q8—794no—
1608C22⋊Q8—794no—
1609C22⋊Q8—794no—
1610C22⋊Q8—794no—
1611C22⋊Q8—794no—
1612C22⋊Q8—794no—
1613C22⋊Q8—794no—
1614C22⋊Q8—794no—
1615C22⋊Q8—794no—
1616C22⋊Q8—794no—
1617C22⋊Q8—794no—
1618C22⋊Q8C22×D7912yes—
1619C22⋊Q8C22×D7912yes—
1620C22⋊Q8C22×D7911yescharacteristic
1621C22⋊Q8C22×D7912yes—
1622C22⋊Q8C22×D7912yes—
1623C22⋊Q8C22×D7911yescharacteristic
1624C22⋊Q8C22×D7912yes—
1625C22⋊Q8C22×D7912yes—
1626C22⋊Q8C22×D7912yes—
1627C22⋊Q8C22×D7912yes—
1628C22⋊Q8C22×D7912yes—
1629C22⋊Q8C22×D7912yes—
1630C22⋊Q8C22×D7912yes—
1631C22⋊Q8C22×D7912yes—
1632C22⋊Q8C22×D7912yes—
1633C22⋊Q8C22×D7912yes—
1634#121—794no—
1635#121—792no—
1636#121—794no—
1637#121—794no—
1638#121—794no—
1639#121—794no—
1640#121—794no—
1641#121—794no—
1642#121—794no—
1643#121—794no—
1644#121—794no—
1645#121—792no—
1646#121—792no—
1647#121—792no—
1648#121—792no—
1649#121—792no—
1650#121—792no—
1651#121—792no—
1652#121—792no—
1653#121—794no—
1654#121—794no—
1655#121—794no—
1656#121—794no—
1657#121—794no—
1658#121—794no—
1659#121—794no—
1660#121—794no—
1661#121—794no—
1662#121—794no—
1663#121C22×D7912yes—
1664#121C22×D7912yes—
1665#121C22×D7911yescharacteristic
1666#121C22×D7911yescharacteristic
1667#121C22×D7912yes—
1668#121C22×D7912yes—
1669C4×Q8—792no—
1670C4×Q8—794no—
1671C4×Q8—794no—
1672C4×Q8—794no—
1673C4×Q8—794no—
1674C4×Q8—794no—
1675C4×Q8—794no—
1676C4×Q8—794no—
1677C4×Q8—794no—
1678C4×Q8—792no—
1679C4×Q8—794no—
1680C4×Q8—794no—
1681C4×Q8—794no—
1682C4×Q8—794no—
1683C4×Q8—794no—
1684C4×Q8—792no—
1685C4×Q8—792no—
1686C4×Q8—794no—
1687C4×Q8—792no—
1688C4×Q8—794no—
1689C4×Q8—792no—
1690C4×Q8—791no—
1691C4×Q8—792no—
1692C4×Q8—792no—
1693C4×Q8—791no—
1694C4×Q8—792no—
1695C4×Q8—792no—
1696C4×Q8—792no—
1697C4×Q8—792no—
1698C4×Q8—792no—
1699C4×Q8—794no—
1700C4×Q8—794no—
1701C4×Q8C22×D7912yes—
1702C4×Q8C22×D7912yes—
1703C4×Q8C22×D7911yescharacteristic
1704C4×Q8C22×D7911yescharacteristic
1705C4×Q8C22×D7912yes—
1706C4×Q8C22×D7912yes—
1707C4×D4—792no—
1708C4×D4—794no—
1709C4×D4—794no—
1710C4×D4—792no—
1711C4×D4—794no—
1712C4×D4—794no—
1713C4×D4—792no—
1714C4×D4—794no—
1715C4×D4—794no—
1716C4×D4—794no—
1717C4×D4—792no—
1718C4×D4—794no—
1719C4×D4—794no—
1720C4×D4—794no—
1721C4×D4—794no—
1722C4×D4—794no—
1723C4×D4—794no—
1724C4×D4—794no—
1725C4×D4—794no—
1726C4×D4—794no—
1727C4×D4—794no—
1728C4×D4—794no—
1729C4×D4—794no—
1730C4×D4—794no—
1731C4×D4—794no—
1732C4×D4—794no—
1733C4×D4—794no—
1734C4×D4—794no—
1735C4×D4—791no—
1736C4×D4—792no—
1737C4×D4—792no—
1738C4×D4—791no—
1739C4×D4—792no—
1740C4×D4—792no—
1741C4×D4—792no—
1742C4×D4—792no—
1743C4×D4—792no—
1744C4×D4—792no—
1745C4×D4—794no—
1746C4×D4—792no—
1747C4×D4C22×D7912yes—
1748C4×D4C22×D7912yes—
1749C4×D4C22×D7911yescharacteristic
1750C4×D4C22×D7912yes—
1751C4×D4C22×D7911yescharacteristic
1752C4×D4C22×D7912yes—
1753#117—792no—
1754#117—791no—
1755#117—792no—
1756#117—792no—
1757#117—792no—
1758#117—794no—
1759#117—794no—
1760#117—792no—
1761#117—792no—
1762#117—794no—
1763#117—794no—
1764#117—794no—
1765#117—792no—
1766#117—792no—
1767#117—794no—
1768#117—794no—
1769#117—794no—
1770#117—794no—
1771#117—794no—
1772#117—794no—
1773#117—794no—
1774#117—794no—
1775#117—792no—
1776#117—794no—
1777#117—794no—
1778#117—794no—
1779#117C22×D7912yes—
1780#117C22×D7912yes—
1781#117C22×D7912yes—
1782#117C22×D7912yes—
1783#117C22×D7911yescharacteristic
1784#117C22×D7911yescharacteristic
1785C2×C4⋊C4—794no—
1786C2×C4⋊C4—792no—
1787C2×C4⋊C4—791no—
1788C2×C4⋊C4—791no—
1789C2×C4⋊C4—792no—
1790C2×C4⋊C4—792no—
1791C2×C4⋊C4—792no—
1792C2×C4⋊C4—792no—
1793C2×C4⋊C4—794no—
1794C2×C4⋊C4—792no—
1795C2×C4⋊C4—792no—
1796C2×C4⋊C4—794no—
1797C2×C4⋊C4—794no—
1798C2×C4⋊C4—794no—
1799C2×C4⋊C4—794no—
1800C2×C4⋊C4—794no—
1801C2×C4⋊C4—794no—
1802C2×C42—794no—
1803C2×C42—792no—
1804C2×C42—794no—
1805C2×C42C22×D7912yes—
1806C2×C42C22×D7911yescharacteristic
1807C2×C42C22×D7912yes—
1808#41—6322no—
1809#41—6324no—
1810#41—6324no—
1811#41—6322no—
1812#41—6324no—
1813#41—6322no—
1814#41—1588no—
1815#41—1584no—
1816C2×Q8—794no—
1817C2×Q8—794no—
1818C2×Q8—792no—
1819C2×Q8—794no—
1820C2×Q8—794no—
1821C2×Q8—794no—
1822C2×Q8—794no—
1823C2×Q8—794no—
1824C2×Q8—792no—
1825C2×Q8—791no—
1826C2×Q8—794no—
1827C2×Q8—792no—
1828C2×Q8—6324no—
1829C2×Q8—6324no—
1830C2×Q8—6324no—
1831C2×Q8—1588no—
1832C2×Q8C23×D7911yescharacteristic
1833C2×Q8C23×D7912yes—
1834C2×Q8C23×D7912yes—
1835C2×Q8C23×D7912yes—
1836C2×Q8C23×D7912yes—
1837C2×Q8C23×D7911yescharacteristic
1838C2×D4—794no—
1839C2×D4—794no—
1840C2×D4—794no—
1841C2×D4—794no—
1842C2×D4—794no—
1843C2×D4—794no—
1844C2×D4—792no—
1845C2×D4—794no—
1846C2×D4—792no—
1847C2×D4—794no—
1848C2×D4—794no—
1849C2×D4—792no—
1850C2×D4—791no—
1851C2×D4—792no—
1852C2×D4C23×D7911yescharacteristic
1853C2×D4C23×D7912yes—
1854C2×D4C23×D7912yes—
1855C2×D4C23×D7912yes—
1856C2×D4C23×D7912yes—
1857C2×D4C23×D7911yescharacteristic
1858C22×C4—794no—
1859C22×C4—792no—
1860C22×C4—792no—
1861C22×C4—794no—
1862C22×C4—794no—
1863C22×C4—792no—
1864C22×C4—794no—
1865C22×C4—792no—
1866C22×C4—794no—
1867C22×C4—794no—
1868C22×C4—794no—
1869C22×C4—794no—
1870C22×C4—794no—
1871C22×C4—794no—
1872C22×C4—794no—
1873C22×C4—794no—
1874C22×C4—792no—
1875C22×C4—794no—
1876C22×C4C23×D7911yescharacteristic
1877C22×C4C23×D7912yes—
1878C22×C4C23×D7912yes—
1879C22×C4C23×D7912yes—
1880C22×C4C23×D7911yescharacteristic
1881C22×C4C23×D7912yes—
1882C22×C4C23×D7912yes—
1883C22×C4C23×D7911yescharacteristic
1884C22×C4C23×D7912yes—
1885C4⋊C4—794no—
1886C4⋊C4—792no—
1887C4⋊C4—794no—
1888C4⋊C4—794no—
1889C4⋊C4—794no—
1890C4⋊C4—794no—
1891C4⋊C4—794no—
1892C4⋊C4—794no—
1893C4⋊C4—794no—
1894C4⋊C4—794no—
1895C4⋊C4—794no—
1896C4⋊C4—794no—
1897C4⋊C4—794no—
1898C4⋊C4—794no—
1899C4⋊C4—794no—
1900C4⋊C4—792no—
1901C4⋊C4—794no—
1902C4⋊C4—794no—
1903C4⋊C4—794no—
1904C4⋊C4—794no—
1905C4⋊C4—794no—
1906C4⋊C4—794no—
1907C4⋊C4—794no—
1908C4⋊C4—794no—
1909C4⋊C4—794no—
1910C4⋊C4—794no—
1911C4⋊C4—794no—
1912C4⋊C4—794no—
1913C4⋊C4—794no—
1914C4⋊C4—794no—
1915C4⋊C4—792no—
1916C4⋊C4—791no—
1917C4⋊C4—792no—
1918C4⋊C4—792no—
1919C4⋊C4—794no—
1920C4⋊C4—794no—
1921C4⋊C4—792no—
1922C4⋊C4—794no—
1923C4⋊C4—794no—
1924C4⋊C4—794no—
1925C4⋊C4—792no—
1926C4⋊C4—792no—
1927C4⋊C4—794no—
1928C4⋊C4—794no—
1929C4⋊C4—794no—
1930C4⋊C4—791no—
1931C4⋊C4—792no—
1932C4⋊C4—792no—
1933C4⋊C4—792no—
1934C4⋊C4—794no—
1935C4⋊C4—792no—
1936C4⋊C4—794no—
1937C4⋊C4C23×D7911yescharacteristic
1938C4⋊C4C23×D7912yes—
1939C4⋊C4C23×D7912yes—
1940C4⋊C4C23×D7911yescharacteristic
1941C4⋊C4C23×D7912yes—
1942C4⋊C4C23×D7912yes—
1943C4⋊C4C23×D7912yes—
1944C4⋊C4C23×D7912yes—
1945C4⋊C4C23×D7911yescharacteristic
1946C4⋊C4C23×D7912yes—
1947C4⋊C4C23×D7911yescharacteristic
1948C4⋊C4C23×D7912yes—
1949C4⋊C4C23×D7912yes—
1950C4⋊C4C23×D7912yes—
1951C4⋊C4C23×D7911yescharacteristic
1952C4⋊C4C23×D7911yescharacteristic
1953C4⋊C4C23×D7912yes—
1954C4⋊C4C23×D7912yes—
1955C4⋊C4C23×D7912yes—
1956C4⋊C4C23×D7912yes—
1957C4⋊C4C23×D7912yes—
1958C4⋊C4C23×D7911yescharacteristic
1959C4⋊C4C23×D7912yes—
1960C4⋊C4C23×D7912yes—
1961C4⋊C4C23×D7912yes—
1962C4⋊C4C23×D7912yes—
1963C4⋊C4C23×D7912yes—
1964C4⋊C4C23×D7911yescharacteristic
1965C4⋊C4C23×D7912yes—
1966C4⋊C4C23×D7912yes—
1967C4⋊C4C23×D7912yes—
1968C4⋊C4C23×D7912yes—
1969C4⋊C4C23×D7912yes—
1970C4⋊C4C23×D7912yes—
1971C22⋊C4—794no—
1972C22⋊C4—794no—
1973C22⋊C4—794no—
1974C22⋊C4—794no—
1975C22⋊C4—792no—
1976C22⋊C4—794no—
1977C22⋊C4—794no—
1978C22⋊C4—794no—
1979C22⋊C4—794no—
1980C22⋊C4—794no—
1981C22⋊C4—794no—
1982C22⋊C4—794no—
1983C22⋊C4—794no—
1984C22⋊C4—794no—
1985C22⋊C4—794no—
1986C22⋊C4—794no—
1987C22⋊C4—794no—
1988C22⋊C4—792no—
1989C22⋊C4—794no—
1990C22⋊C4—794no—
1991C22⋊C4—792no—
1992C22⋊C4—794no—
1993C22⋊C4—794no—
1994C22⋊C4—794no—
1995C22⋊C4—794no—
1996C22⋊C4—794no—
1997C22⋊C4—794no—
1998C22⋊C4—794no—
1999C22⋊C4—794no—
2000C22⋊C4—794no—
2001C22⋊C4C23×D7912yes—
2002C22⋊C4C23×D7912yes—
2003C22⋊C4C23×D7912yes—
2004C22⋊C4C23×D7912yes—
2005C22⋊C4C23×D7912yes—
2006C22⋊C4C23×D7912yes—
2007C22⋊C4C23×D7912yes—
2008C22⋊C4C23×D7912yes—
2009C22⋊C4C23×D7912yes—
2010C22⋊C4C23×D7912yes—
2011C22⋊C4C23×D7912yes—
2012C22⋊C4C23×D7912yes—
2013C22⋊C4C23×D7912yes—
2014C22⋊C4C23×D7912yes—
2015C22⋊C4C23×D7912yes—
2016C22⋊C4C23×D7912yes—
2017C22⋊C4C23×D7912yes—
2018C22⋊C4C23×D7912yes—
2019C22⋊C4C23×D7912yes—
2020C22⋊C4C23×D7912yes—
2021C42—794no—
2022C42—792no—
2023C42—794no—
2024C42—794no—
2025C42—794no—
2026C42—792no—
2027C42—794no—
2028C42—792no—
2029C42—794no—
2030C42—794no—
2031C42—794no—
2032C42—794no—
2033C42—794no—
2034C42—794no—
2035C42—794no—
2036C42—794no—
2037C42C23×D7911yescharacteristic
2038C42C23×D7912yes—
2039C42C23×D7912yes—
2040C42C23×D7911yescharacteristic
2041C42C23×D7912yes—
2042C42C23×D7911yescharacteristic
2043C42C23×D7912yes—
2044C42C23×D7912yes—
2045C42C23×D7912yes—
2046C42C23×D7911yescharacteristic
2047C42C23×D7912yes—
2048C42C23×D7912yes—
2049C23—794no—
2050C23—792no—
2051C23C24×D7912yes—
2052C23C24×D7912yes—
2053C23C24×D7911yescharacteristic
2054Q8—42no—
2055Q8—42no—
2056Q8—41no—
2057Q8—42no—
2058Q8—42no—
2059Q8—41no—
2060Q8—3162no—
2061Q8—3164no—
2062Q8—3164no—
2063Q8—3164no—
2064Q8—3164no—
2065Q8—3164no—
2066Q8—3164no—
2067Q8—3162no—
2068Q8—3164no—
2069Q8—794no—
2070Q8—1588no—
2071Q8—1584no—
2072D4—41no—
2073D4—42no—
2074D4—42no—
2075D4—42no—
2076D4—41no—
2077D4—42no—
2078D4—3162no—
2079D4—3164no—
2080D4—3164no—
2081D4—3162no—
2082D4—3164no—
2083D4—3164no—
2084D4—3164no—
2085D4—3164no—
2086D4—3164no—
2087D4—3164no—
2088D4—1584no—
2089D4—1588no—
2090D4—1582no—
2091D4—1584no—
2092C2×C4—24no—
2093C2×C4—22no—
2094C2×C4—24no—
2095C2×C4—42no—
2096C2×C4—41no—
2097C2×C4—42no—
2098C2×C4—42no—
2099C2×C4—42no—
2100C2×C4—41no—
2101C2×C4—3164no—
2102C2×C4—3164no—
2103C2×C4—3164no—
2104C2×C4—3164no—
2105C2×C4—3164no—
2106C2×C4—3164no—
2107C2×C4—3162no—
2108C2×C4—3164no—
2109C2×C4—3162no—
2110C2×C4—3164no—
2111C2×C4—3164no—
2112C2×C4—3164no—
2113C2×C4—3162no—
2114C2×C4—3164no—
2115C2×C4—3162no—
2116C2×C4—792no—
2117C2×C4—794no—
2118C2×C4—792no—
2119C2×C4—794no—
2120C2×C4—794no—
2121C2×C4—794no—
2122C2×C4—792no—
2123C2×C4—794no—
2124C2×C4—1584no—
2125C2×C4—1588no—
2126C2×C4—1588no—
2127C2×C4C24×D7912yes—
2128C2×C4C24×D7912yes—
2129C2×C4C24×D7911yescharacteristic
2130C2×C4C24×D7912yes—
2131C2×C4C24×D7912yes—
2132C2×C4C24×D7911yescharacteristic
2133C2×C4C24×D7912yes—
2134C2×C4C24×D7912yes—
2135C2×C4C24×D7911yescharacteristic
2136C2×C4C24×D7912yes—
2137C2×C4C24×D7912yes—
2138C2×C4C24×D7912yes—
2139C2×C4C24×D7911yescharacteristic
2140C2×C4C24×D7911yescharacteristic
2141C2×C4C24×D7912yes—
2142C2×C4C24×D7911yescharacteristic
2143C22—22no—
2144C22—22no—
2145C22—21no—
2146C22—22no—
2147C22—22no—
2148C22—21no—
2149C22—21no—
2150C22—22no—
2151C22—22no—
2152C22—1584no—
2153C22—1582no—
2154C22—1584no—
2155C22—1582no—
2156C22—1582no—
2157C22—1584no—
2158C22C25×D7911yescharacteristic
2159C4—22no—
2160C4—21no—
2161C4—22no—
2162C4—22no—
2163C4—21no—
2164C4—21no—
2165C4—22no—
2166C4—22no—
2167C4—22no—
2168C4—22no—
2169C4—21no—
2170C4—22no—
2171C4—22no—
2172C4—21no—
2173C4—22no—
2174C4—794no—
2175C4—1584no—
2176C4—1584no—
2177C4—1582no—
2178C4—1584no—
2179C4—1584no—
2180C4—1584no—
2181C4—1582no—
2182C42−1+4×D7912yes—
2183C2—42no—
2184C2—42no—
2185C2—41no—
2186C2—3164no—
2187C2—3162no—
2188C2C2×2−1+4×D7911yescharacteristic
2189C2#2377821111yescharacteristic
2190C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3531C2
hypercenter#3531D79
hypocenterC79#63061
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3531

Complements

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

NH ≅ G/Ntype
1. #23778045C2semidirect
2. #23778042C2semidirect
3. #23778009C2semidirect
4. #23778003C2semidirect
5. #23777931C2semidirect
6. #23777928C2semidirect
7. #23777906C2semidirect
8. #23777900C2semidirect
9. #23777871C2semidirect
10. #23777862C2semidirect
11. #23777837C2semidirect
12. #23777834C2semidirect
13. #23777811C2semidirect
14. #23777810C2semidirect
15. #23777791C2semidirect
16. #23777780C2semidirect
17. #23777740C2semidirect
18. #23777739C2semidirect
19. #23777546C2semidirect
20. #23777505C2semidirect
21. #23777505C2semidirect
22. #23777483C2semidirect
23. #23777415C2semidirect
24. #23777404C2semidirect
25. #23777389C2semidirect
26. #23777221C2semidirect
27. #23777212C2semidirect
28. #23777205C2semidirect
29. C79×#3531C2semidirect
1115. #3531D79semidirect
1125. C79#63061semidirect

Maximal subgroups

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

subgroupindex
#237780452
#237780422
#237780092
#237780032
#237779312
#237779282
#237779062
#237779002
#237778712
#237778622
#237778372
#237778342
#237778112
#237778102
#237777912
#237777802
#237777402
#237777392
#237775462
#237775052
#237774832
#237774152
#237774042
#237773892
#237772212
#237772122
#237772052
C79×#35312
#6306179