Finite Group Databasebeta

← #35201860

Subgroups — #35201860

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#23778046C212yesmaximal, complemented
2#23778044C214yesmaximal, complemented
3#23778006C211yesmaximal, characteristic, complemented
4#23778000C212yesmaximal, complemented
5#23777928C212yesmaximal, complemented
6#23777904C214yesmaximal, complemented
7#23777901C212yesmaximal, complemented
8#23777866C214yesmaximal, complemented
9#23777861C212yesmaximal, complemented
10#23777838C212yesmaximal, complemented
11#23777833C214yesmaximal, complemented
12#23777814C211yesmaximal, characteristic, complemented
13#23777810C212yesmaximal, complemented
14#23777784C212yesmaximal, complemented
15#23777779C214yesmaximal, complemented
16#23777743C212yesmaximal, complemented
17#23777736C214yesmaximal, complemented
18#23777545C211yesmaximal, characteristic, complemented
19#23777544C212yesmaximal, complemented
20#23777508C212yesmaximal, complemented
21#23777503C212yesmaximal, complemented
22#23777478C212yesmaximal, complemented
23#23777415C211yesmaximal, characteristic, complemented
24#23777398C211yesmaximal, characteristic, complemented
25#23777384C212yesmaximal, complemented
26#23777224C211yesmaximal, characteristic, complemented
27#23777214C212yesmaximal, complemented
28#23777208C212yesmaximal, complemented
29C79×#3559C211yesmaximal, characteristic, complemented
30C79⋊#564C2212yes—
31C79⋊#564C2211yescharacteristic
32#19099317C2211yescharacteristic
33#19099317C2212yes—
34#19099317C2214yes—
35#19099316C2214yes—
36#19099316C2214yes—
37#19099316C2212yes—
38#19099316C2214yes—
39#19099315C2212yes—
40#19099315C2212yes—
41#19099314C2214yes—
42#19099314C2214yes—
43#19099314C2212yes—
44#19099314C2214yes—
45#19099313C2211yescharacteristic
46#19099313C2212yes—
47#19099313C2212yes—
48#19099310C2212yes—
49#19099310C2214yes—
50#19099308C2214yes—
51#19099308C2214yes—
52#19099308C2212yes—
53#19099308C2214yes—
54#19099308C2214yes—
55#19099307C2211yescharacteristic
56#19099299C2212yes—
57#19099297C2214yes—
58#19099297C2214yes—
59#19099296C2212yes—
60#19099296C2212yes—
61#19099296C2214yes—
62Q8×Dic158C2211yescharacteristic
63#19099293C2214yes—
64#19099293C2212yes—
65#19099293C2212yes—
66#19099290C2214yes—
67#19099290C2212yes—
68#19099290C2212yes—
69#19099290C2212yes—
70#19099290C2214yes—
71#19099290C2212yes—
72#19099290C2212yes—
73#19099288C2212yes—
74#19099288C2214yes—
75#19099288C2211yescharacteristic
76#19099286C2211yescharacteristic
77#19099284C2212yes—
78#19099283C2212yes—
79#19099283C2212yes—
80#19099283C2212yes—
81#19099280C2214yes—
82#19099280C2214yes—
83#19099280C2214yes—
84#19099278C2211yescharacteristic
85#19099277C2212yes—
86#19099277C2214yes—
87#19099277C2214yes—
88#19099277C2212yes—
89#19099276C2212yes—
90#19099272C2214yes—
91#19099271C2214yes—
92#19099270C2212yes—
93#19099269C2212yes—
94#19099269C2212yes—
95#19099268C2212yes—
96#19099268C2212yes—
97#19099268C2214yes—
98#19099268C2214yes—
99#19099268C2214yes—
100#19099267C2214yes—
101#19099262C2214yes—
102#19099260C2212yes—
103#19099260C2212yes—
104#19099258C2214yes—
105#19099256C2214yes—
106#19099256C2214yes—
107#19099253C2214yes—
108#19099252C2212yes—
109#19099251C2212yes—
110#19099250C2214yes—
111#19099250C2214yes—
112#19099249C2214yes—
113#19099249C2214yes—
114#19099248C2214yes—
115#19099248C2214yes—
116#19099248C2212yes—
117#19099247C2214yes—
118#19099245C2214yes—
119#19099233C2211yescharacteristic
120#19099233C2211yescharacteristic
121#19099232C2212yes—
122#19099231C2212yes—
123D4×Dic158C2212yes—
124D4×Dic158C2212yes—
125D4×Dic158C2212yes—
126D4×Dic158C2211yescharacteristic
127#19099226C2214yes—
128#19099226C2214yes—
129#19099226C2214yes—
130#19099222C2214yes—
131#19099222C2212yes—
132#19099220C2214yes—
133#19099219C2214yes—
134#19099219C2212yes—
135#19099219C2212yes—
136#19099216C2211yescharacteristic
137#19099215C2214yes—
138#19099214C2212yes—
139#19099213C2214yes—
140#19099212C2212yes—
141#19099212C2214yes—
142#19099211C2214yes—
143#19099194C2211yescharacteristic
144#19099194C2212yes—
145#19099194C2211yescharacteristic
146#19099194C2212yes—
147#19099193C2212yes—
148#19099193C2212yes—
149#19099193C2212yes—
150#19099193C2212yes—
151#19099192C2214yes—
152#19099192C2214yes—
153#19099192C2214yes—
154#19099192C2214yes—
155#19099190C2214yes—
156#19099187C2212yes—
157#19099186C2214yes—
158#19099184C2212yes—
159#19099183C2214yes—
160#19099183C2214yes—
161#19099183C2214yes—
162#19099181C2214yes—
163#19099181C2214yes—
164#19099181C2214yes—
165#19099181C2214yes—
166#19099181C2214yes—
167#19099180C2212yes—
168#19099180C2214yes—
169#19099180C2212yes—
170#19099180C2212yes—
171#19099180C2214yes—
172#19099179C2214yes—
173#19099179C2214yes—
174#19099178C2214yes—
175#19099178C2212yes—
176#19099178C2214yes—
177#19099176C2212yes—
178#19099173C2214yes—
179#19099172C2214yes—
180#19099170C2214yes—
181#19099170C2214yes—
182#19099166C2212yes—
183#19099164C2212yes—
184#19099163C2214yes—
185#19099163C2214yes—
186#19099163C2214yes—
187#19099160C2214yes—
188#19099160C2212yes—
189#19099159C2214yes—
190#19099157C2214yes—
191#19099157C2214yes—
192#19099156C2214yes—
193#19099156C2214yes—
194#19099156C2214yes—
195#19099142C2214yes—
196#19099138C2214yes—
197#19099136C2214yes—
198#19099135C2214yes—
199#19099135C2214yes—
200#19099134C2214yes—
201#19099134C2214yes—
202#19099120C2211yescharacteristic
203#19099120C2211yescharacteristic
204#19099119C2212yes—
205#19099119C2212yes—
206#19099117C2212yes—
207#19099116C2212yes—
208#19099116C2212yes—
209#19099115C2214yes—
210#19099115C2214yes—
211#19099115C2214yes—
212#19099112C2212yes—
213#19099109C2214yes—
214#19099108C2212yes—
215C2×#14579160C2214yes—
216C4⋊Q8×D79C2212yes—
217#19099098C2212yes—
218#19099097C2211yescharacteristic
219#19099095C2212yes—
220#19099095C2212yes—
221#19099094C2214yes—
222#19099094C2214yes—
223#19099094C2212yes—
224#19099093C2212yes—
225#19099093C2212yes—
226#19099093C2214yes—
227#19099093C2214yes—
228#19099092C2212yes—
229#19099092C2212yes—
230#19099091C2212yes—
231#19099090C2214yes—
232#19099090C2214yes—
233#19099090C2214yes—
234#125×D79C2212yes—
235#19099044C2211yescharacteristic
236#19099044C2211yescharacteristic
237#19099042C2212yes—
238#19099042C2212yes—
239#19099040C2212yes—
240#19099040C2212yes—
241C4×#11929624C2211yescharacteristic
242C4×#11929623C2212yes—
243C2×#14579126C2212yes—
244#563×C79C2212yes—
245#562×C79C2212yes—
246#554×C79C2212yes—
247#553×C79C2212yes—
248#553×C79C2212yes—
249#547×C79C2212yes—
250#547×C79C2214yes—
251#544×C79C2212yes—
252#540×C79C2212yes—
253#539×C79C2214yes—
254#539×C79C2212yes—
255#537×C79C2212yes—
256#532×C79C2211yescharacteristic
257#529×C79C2211yescharacteristic
258C2×#125×C79C2211yescharacteristic
259C2×#11929625C2312yes—
260C2×#11929624C2311yescharacteristic
261C2×#11929624C2314yes—
262C2×#11929623C2312yes—
263C2×#11929623C2314yes—
264C2×#11929623C2312yes—
265C22×Dic158C2312yes—
266C22×Dic158C2314yes—
267C22×Dic158C2314yes—
268C2×Q8×D79C2314yes—
269#14579161C2311yescharacteristic
270#14579161C2312yes—
271#14579161C2311yescharacteristic
272#14579161C2311yescharacteristic
273#14579161C2311yescharacteristic
274#14579160C2314yes—
275#14579160C2314yes—
276#14579160C2312yes—
277#14579160C2314yes—
278#14579160C2314yes—
279#14579160C2312yes—
280#14579160C2314yes—
281#14579160C2314yes—
282#14579160C2312yes—
283#14579160C2312yes—
284#14579160C2312yes—
285#14579160C2312yes—
286#14579160C2314yes—
287#14579160C2314yes—
288#14579160C2314yes—
289#14579160C2314yes—
290#14579160C2312yes—
291#14579160C2314yes—
292#14579160C2312yes—
293#14579160C2312yes—
294#14579160C2312yes—
295#14579160C2312yes—
296#14579160C2312yes—
297#14579160C2314yes—
298#14579159C2314yes—
299#14579159C2314yes—
300#14579159C2314yes—
301#14579159C2314yes—
302#14579159C2314yes—
303#14579159C2312yes—
304#14579159C2314yes—
305#14579159C2312yes—
306#14579157C2314yes—
307#14579157C2312yes—
308#14579157C2312yes—
309#14579156C2314yes—
310#14579156C2314yes—
311#14579156C2314yes—
312#14579156C2314yes—
313#14579156C2314yes—
314#14579156C2314yes—
315#14579156C2312yes—
316#14579156C2314yes—
317#14579156C2312yes—
318#14579156C2314yes—
319#14579156C2312yes—
320#14579155C2312yes—
321#14579154C2314yes—
322#14579154C2314yes—
323#14579154C2314yes—
324#14579154C2314yes—
325#14579154C2314yes—
326#14579154C2314yes—
327#14579154C2314yes—
328#14579154C2314yes—
329#14579154C2314yes—
330#14579154C2312yes—
331#14579154C2314yes—
332#14579154C2314yes—
333#14579154C2314yes—
334#14579154C2312yes—
335#14579154C2312yes—
336#14579154C2312yes—
337#14579154C2314yes—
338#14579154C2312yes—
339#14579153C2314yes—
340#14579153C2311yescharacteristic
341#14579153C2311yescharacteristic
342#14579153C2312yes—
343#14579153C2311yescharacteristic
344#14579152C2312yes—
345#14579152C2312yes—
346#14579152C2314yes—
347#14579152C2312yes—
348#14579152C2312yes—
349#14579152C2312yes—
350#14579152C2312yes—
351#14579152C2314yes—
352#14579152C2314yes—
353#14579152C2312yes—
354#14579152C2314yes—
355#14579152C2312yes—
356#14579152C2312yes—
357#14579151C2314yes—
358#14579151C2314yes—
359#14579151C2314yes—
360#14579151C2314yes—
361#14579151C2314yes—
362#14579151C2314yes—
363#14579151C2314yes—
364#14579151C2314yes—
365#14579151C2314yes—
366#14579151C2312yes—
367#14579151C2312yes—
368#14579151C2314yes—
369#14579151C2314yes—
370#14579151C2314yes—
371#14579151C2314yes—
372#14579151C2312yes—
373#14579151C2312yes—
374#14579151C2312yes—
375#14579151C2314yes—
376#14579151C2314yes—
377#14579151C2314yes—
378#14579151C2314yes—
379#14579151C2314yes—
380#14579150C2314yes—
381#14579149C2314yes—
382#14579149C2312yes—
383#14579149C2311yescharacteristic
384#14579148C2314yes—
385#14579148C2312yes—
386#14579148C2314yes—
387#14579148C2312yes—
388#14579148C2314yes—
389#14579148C2314yes—
390#14579148C2314yes—
391#14579148C2314yes—
392#14579148C2312yes—
393#14579147C2314yes—
394#14579147C2314yes—
395#14579147C2312yes—
396#14579147C2314yes—
397#14579147C2314yes—
398#14579147C2314yes—
399#14579147C2314yes—
400#14579147C2314yes—
401#14579147C2314yes—
402#14579147C2312yes—
403#14579147C2314yes—
404#14579147C2314yes—
405#14579147C2314yes—
406#14579147C2312yes—
407#14579146C2314yes—
408#14579146C2314yes—
409#14579146C2312yes—
410#14579146C2314yes—
411#14579146C2314yes—
412#14579146C2314yes—
413#14579145C2312yes—
414#14579145C2314yes—
415#14579145C2312yes—
416#14579144C2314yes—
417#14579144C2314yes—
418#14579144C2314yes—
419#14579144C2312yes—
420#14579144C2314yes—
421#14579144C2314yes—
422#14579144C2314yes—
423#14579143C2312yes—
424#14579143C2314yes—
425#14579143C2314yes—
426#14579143C2312yes—
427#14579143C2312yes—
428#14579143C2314yes—
429#14579143C2314yes—
430#14579143C2314yes—
431#14579143C2314yes—
432#14579143C2314yes—
433#14579142C2314yes—
434#14579142C2314yes—
435#14579142C2314yes—
436#14579142C2314yes—
437#14579142C2312yes—
438#14579142C2314yes—
439#14579142C2314yes—
440#14579142C2314yes—
441#14579142C2312yes—
442#14579142C2314yes—
443#14579141C2314yes—
444#14579141C2314yes—
445#14579141C2314yes—
446#14579141C2312yes—
447#14579141C2312yes—
448#14579141C2314yes—
449#14579141C2312yes—
450#14579141C2312yes—
451#14579140C2314yes—
452#14579140C2314yes—
453#14579140C2314yes—
454#14579140C2314yes—
455#14579140C2312yes—
456#14579140C2314yes—
457#14579140C2314yes—
458#14579140C2314yes—
459#14579140C2314yes—
460#14579140C2314yes—
461#14579140C2312yes—
462#14579140C2312yes—
463#14579140C2312yes—
464#14579140C2314yes—
465#14579140C2314yes—
466#14579140C2311yescharacteristic
467#14579140C2312yes—
468#14579139C2314yes—
469#14579139C2314yes—
470#14579139C2314yes—
471#14579139C2314yes—
472#14579139C2314yes—
473#14579139C2312yes—
474#14579139C2314yes—
475#14579139C2314yes—
476#14579139C2314yes—
477#14579139C2314yes—
478#14579139C2312yes—
479#14579139C2314yes—
480#14579139C2314yes—
481#14579139C2312yes—
482#14579138C2314yes—
483#14579138C2314yes—
484#14579138C2314yes—
485#14579138C2314yes—
486#14579138C2314yes—
487#14579138C2314yes—
488#14579138C2314yes—
489#14579138C2314yes—
490#14579138C2314yes—
491#14579138C2314yes—
492#14579138C2314yes—
493#14579138C2314yes—
494#14579138C2314yes—
495#14579138C2312yes—
496#14579138C2312yes—
497#14579138C2312yes—
498#14579138C2312yes—
499#14579138C2312yes—
500#14579138C2314yes—
501#14579138C2312yes—
502#14579137C2314yes—
503#14579137C2312yes—
504#14579137C2312yes—
505#14579137C2312yes—
506#14579136C2312yes—
507#14579135C2311yescharacteristic
508#14579135C2314yes—
509#14579135C2312yes—
510#14579134C2314yes—
511#14579134C2314yes—
512#14579134C2312yes—
513#14579134C2314yes—
514#14579133C2312yes—
515#14579133C2314yes—
516#14579133C2314yes—
517#14579133C2314yes—
518#14579133C2314yes—
519#14579133C2314yes—
520#14579133C2314yes—
521#14579133C2314yes—
522#14579133C2314yes—
523#14579133C2314yes—
524#14579133C2312yes—
525#14579132C2312yes—
526#14579132C2314yes—
527#14579132C2314yes—
528#14579132C2312yes—
529#14579132C2314yes—
530#14579132C2312yes—
531#14579132C2312yes—
532Q8×Dic79C2314yes—
533Q8×Dic79C2312yes—
534Q8×Dic79C2312yes—
535C4×Dic158C2314yes—
536C4×Dic158C2314yes—
537C4×Dic158C2312yes—
538C4×Dic158C2314yes—
539C4×Dic158C2312yes—
540C4×Dic158C2314yes—
541C4×Dic158C2312yes—
542C4×Dic158C2312yes—
543C4×Dic158C2312yes—
544C4×Dic158C2311yescharacteristic
545C4×Dic158C2312yes—
546C4×Dic158C2311yescharacteristic
547C4×Dic158C2311yescharacteristic
548C4×Dic158C2312yes—
549C4×Dic158C2312yes—
550#14579126C2314yes—
551#14579126C2314yes—
552#14579126C2314yes—
553#14579126C2312yes—
554#14579126C2312yes—
555#14579126C2314yes—
556#14579126C2314yes—
557#14579126C2312yes—
558#14579126C2312yes—
559#14579126C2314yes—
560#14579126C2314yes—
561#14579126C2314yes—
562#14579126C2312yes—
563#14579126C2312yes—
564#14579126C2314yes—
565#14579126C2314yes—
566#14579126C2312yes—
567#14579126C2314yes—
568#14579126C2314yes—
569C4×D316C2311yescharacteristic
570C4×D316C2311yescharacteristic
571C4×D316C2311yescharacteristic
572D4×Dic79C2314yes—
573D4×Dic79C2314yes—
574D4×Dic79C2312yes—
575D4×Dic79C2312yes—
576D4×Dic79C2312yes—
577D4×Dic79C2314yes—
578D4×Dic79C2312yes—
579D4×Dic79C2314yes—
580D4×Dic79C2312yes—
581#14579123C2314yes—
582#14579123C2312yes—
583#14579123C2312yes—
584C4×C22⋊D79C2314yes—
585C4×C22⋊D79C2314yes—
586C4×C22⋊D79C2314yes—
587C4×C22⋊D79C2314yes—
588C4×C22⋊D79C2314yes—
589C4×C22⋊D79C2312yes—
590C4×C22⋊D79C2314yes—
591C4×C22⋊D79C2314yes—
592C4×C22⋊D79C2312yes—
593C4×C22⋊D79C2314yes—
594C4×C22⋊D79C2314yes—
595C4×C22⋊D79C2314yes—
596C4×C22⋊D79C2312yes—
597C4×C22⋊D79C2312yes—
598C4×C22⋊D79C2312yes—
599(C22⋊D79)⋊C4C2314yes—
600(C22⋊D79)⋊C4C2314yes—
601(C22⋊D79)⋊C4C2314yes—
602(C22⋊D79)⋊C4C2314yes—
603(C22⋊D79)⋊C4C2314yes—
604(C22⋊D79)⋊C4C2314yes—
605(C22⋊D79)⋊C4C2314yes—
606(C22⋊D79)⋊C4C2314yes—
607#14579120C2312yes—
608#14579120C2314yes—
609#14579120C2311yescharacteristic
610#14579120C2311yescharacteristic
611#14579120C2312yes—
612#14579120C2314yes—
613#14579120C2314yes—
614#14579120C2311yescharacteristic
615#14579120C2312yes—
616#14579119C2314yes—
617#14579119C2312yes—
618#14579119C2312yes—
619#14579119C2312yes—
620#14579119C2312yes—
621#14579119C2314yes—
622#14579119C2312yes—
623#14579118C2314yes—
624#14579118C2312yes—
625#14579118C2312yes—
626#14579118C2314yes—
627#14579118C2312yes—
628#14579117C2314yes—
629#14579117C2314yes—
630#14579117C2314yes—
631#14579117C2314yes—
632#14579117C2314yes—
633#14579117C2314yes—
634#14579117C2314yes—
635#14579117C2314yes—
636#14579117C2314yes—
637C2×C4⋊Dic79C2314yes—
638C2×Dic79⋊C4C2314yes—
639C2×Dic79⋊C4C2314yes—
640C2×Dic79⋊C4C2314yes—
641C4⋊C4×D79C2314yes—
642C4⋊C4×D79C2314yes—
643C4⋊C4×D79C2314yes—
644C4⋊C4×D79C2312yes—
645C4⋊C4×D79C2312yes—
646C4⋊C4×D79C2312yes—
647C4⋊C4×D79C2312yes—
648C2×C4×Dic79C2314yes—
649C2×C4×Dic79C2312yes—
650C2×C4×Dic79C2314yes—
651C42×D79C2312yes—
652C42×D79C2312yes—
653C2×#41×C79C2314yes—
654C2×#41×C79C2312yes—
655C4⋊Q8×C79C2314yes—
656C4⋊Q8×C79C2312yes—
657C4⋊Q8×C79C2311yescharacteristic
658#127×C79C2311yescharacteristic
659#126×C79C2314yes—
660#126×C79C2314yes—
661#126×C79C2312yes—
662#125×C79C2312yes—
663#125×C79C2312yes—
664#125×C79C2312yes—
665#125×C79C2314yes—
666#125×C79C2312yes—
667#125×C79C2312yes—
668#125×C79C2311yescharacteristic
669#124×C79C2311yescharacteristic
670#124×C79C2312yes—
671#123×C79C2314yes—
672#123×C79C2314yes—
673#123×C79C2314yes—
674#123×C79C2314yes—
675#123×C79C2314yes—
676#123×C79C2312yes—
677#123×C79C2314yes—
678C22⋊Q8×C79C2314yes—
679C22⋊Q8×C79C2314yes—
680C22⋊Q8×C79C2314yes—
681C22⋊Q8×C79C2314yes—
682C22⋊Q8×C79C2314yes—
683C22⋊Q8×C79C2314yes—
684C22⋊Q8×C79C2311yescharacteristic
685#121×C79C2314yes—
686#121×C79C2312yes—
687#121×C79C2314yes—
688#121×C79C2314yes—
689#121×C79C2312yes—
690#121×C79C2312yes—
691#121×C79C2312yes—
692#121×C79C2314yes—
693#121×C79C2311yescharacteristic
694C4×Q8×C79C2311yescharacteristic
695C4×D4×C79C2312yes—
696C4×D4×C79C2314yes—
697C4×D4×C79C2314yes—
698C4×D4×C79C2312yes—
699C4×D4×C79C2312yes—
700C4×D4×C79C2311yescharacteristic
701C4×D4×C79C2312yes—
702C4×D4×C79C2312yes—
703#117×C79C2312yes—
704#117×C79C2312yes—
705C2×C4⋊C4×C79C2312yes—
706C2×C4⋊C4×C79C2314yes—
707C2×C4⋊C4×C79C2312yes—
708C2×C4⋊C4×C79C2311yescharacteristic
709C2×C4⋊C4×C79C2311yescharacteristic
710C2×C4⋊C4×C79C2312yes—
711C2×C42×C79C2311yescharacteristic
712#11929625—82no—
713#11929624—24no—
714#11929624—84no—
715#11929623—28no—
716#11929623—82no—
717#11929623—84no—
718C2×Dic158—28no—
719C2×Dic158—84no—
720C2×Dic158—84no—
721C2×Dic158C2414yes—
722C2×Dic158C2412yes—
723C2×Dic158C2414yes—
724C2×Dic158C2414yes—
725C2×Dic158C2414yes—
726C2×Dic158C2412yes—
727C2×Dic158C2412yes—
728C2×Dic158C2412yes—
729C2×Dic158C2414yes—
730C2×Dic158C2414yes—
731C2×Dic158C2411yescharacteristic
732C2×Dic158C2412yes—
733C2×Dic158C2412yes—
734C2×Dic158C2414yes—
735C2×Dic158C2411yescharacteristic
736Q8×D79—84no—
737C2×D316C2411yescharacteristic
738C2×D316C2414yes—
739C2×D316C2411yescharacteristic
740C2×C22⋊D79C2414yes—
741C2×C22⋊D79C2412yes—
742C2×C22⋊D79C2414yes—
743C2×C22⋊D79C2414yes—
744C2×C22⋊D79C2412yes—
745C2×C22⋊D79C2414yes—
746C2×C22⋊D79C2414yes—
747C2×C22⋊D79C2412yes—
748C2×C22⋊D79C2412yes—
749C22×Dic79C2414yes—
750C22×Dic79C2414yes—
751C22×Dic79C2414yes—
752C22×Dic79C2414yes—
753C22×Dic79C2414yes—
754C22×Dic79C2412yes—
755C22×Dic79C2412yes—
756C2×C4×D79C2412yes—
757C2×C4×D79C2412yes—
758C2×C4×D79C2412yes—
759C2×C4×D79C2414yes—
760C2×C4×D79C2414yes—
761C2×C4×D79C2414yes—
762C2×C4×D79C2412yes—
763C2×C4×D79C2412yes—
764C2×C4×D79C2412yes—
765C2×C4×D79C2414yes—
766C4⋊Dic79C2411yescharacteristic
767C4⋊Dic79C2411yescharacteristic
768C4⋊Dic79C2411yescharacteristic
769C4⋊Dic79C2414yes—
770C4⋊Dic79C2414yes—
771C4⋊Dic79C2412yes—
772C4⋊Dic79C2414yes—
773C4⋊Dic79C2412yes—
774C4⋊Dic79C2414yes—
775C4⋊Dic79C2411yescharacteristic
776C4⋊Dic79C2411yescharacteristic
777C4⋊Dic79C2414yes—
778C4⋊Dic79C2412yes—
779C4⋊Dic79C2414yes—
780C4⋊Dic79C2412yes—
781C4⋊Dic79C2411yescharacteristic
782C4⋊Dic79C2412yes—
783C4⋊Dic79C2412yes—
784C4⋊Dic79C2412yes—
785C4⋊Dic79C2412yes—
786C4⋊Dic79C2411yescharacteristic
787C4⋊Dic79C2412yes—
788C4⋊Dic79C2411yescharacteristic
789C4⋊Dic79C2414yes—
790C4⋊Dic79C2412yes—
791Dic79⋊C4C2414yes—
792Dic79⋊C4C2412yes—
793Dic79⋊C4C2412yes—
794Dic79⋊C4C2414yes—
795Dic79⋊C4C2414yes—
796Dic79⋊C4C2414yes—
797Dic79⋊C4C2414yes—
798Dic79⋊C4C2414yes—
799Dic79⋊C4C2414yes—
800Dic79⋊C4C2414yes—
801Dic79⋊C4C2412yes—
802Dic79⋊C4C2412yes—
803Dic79⋊C4C2412yes—
804Dic79⋊C4C2414yes—
805Dic79⋊C4C2414yes—
806Dic79⋊C4C2414yes—
807Dic79⋊C4C2412yes—
808Dic79⋊C4C2412yes—
809Dic79⋊C4C2412yes—
810Dic79⋊C4C2412yes—
811Dic79⋊C4C2414yes—
812Dic79⋊C4C2414yes—
813Dic79⋊C4C2414yes—
814Dic79⋊C4C2414yes—
815Dic79⋊C4C2414yes—
816Dic79⋊C4C2414yes—
817Dic79⋊C4C2412yes—
818Dic79⋊C4C2412yes—
819Dic79⋊C4C2414yes—
820Dic79⋊C4C2414yes—
821Dic79⋊C4C2414yes—
822Dic79⋊C4C2414yes—
823Dic79⋊C4C2412yes—
824Dic79⋊C4C2412yes—
825Dic79⋊C4C2412yes—
826Dic79⋊C4C2414yes—
827Dic79⋊C4C2412yes—
828Dic79⋊C4C2412yes—
829Dic79⋊C4C2412yes—
830Dic79⋊C4C2414yes—
831Dic79⋊C4C2412yes—
832C22⋊Dic79C2412yes—
833C22⋊Dic79C2414yes—
834C22⋊Dic79C2412yes—
835C22⋊Dic79C2414yes—
836C22⋊Dic79C2414yes—
837C22⋊Dic79C2414yes—
838C22⋊Dic79C2414yes—
839C22⋊Dic79C2414yes—
840C22⋊Dic79C2412yes—
841C22⋊Dic79C2414yes—
842C22⋊Dic79C2414yes—
843C22⋊Dic79C2412yes—
844C22⋊Dic79C2412yes—
845C22⋊Dic79C2412yes—
846C22⋊Dic79C2414yes—
847C22⋊Dic79C2414yes—
848C22⋊Dic79C2412yes—
849C22⋊Dic79C2414yes—
850C22⋊Dic79C2412yes—
851(C2×D79)⋊C4C2412yes—
852(C2×D79)⋊C4C2414yes—
853(C2×D79)⋊C4C2414yes—
854(C2×D79)⋊C4C2414yes—
855(C2×D79)⋊C4C2412yes—
856(C2×D79)⋊C4C2412yes—
857(C2×D79)⋊C4C2412yes—
858(C2×D79)⋊C4C2412yes—
859(C2×D79)⋊C4C2412yes—
860(C2×D79)⋊C4C2412yes—
861(C2×D79)⋊C4C2414yes—
862(C2×D79)⋊C4C2412yes—
863(C2×D79)⋊C4C2414yes—
864(C2×D79)⋊C4C2414yes—
865(C2×D79)⋊C4C2414yes—
866(C2×D79)⋊C4C2412yes—
867(C2×D79)⋊C4C2412yes—
868(C2×D79)⋊C4C2414yes—
869(C2×D79)⋊C4C2414yes—
870C4×Dic79C2412yes—
871C4×Dic79C2412yes—
872C4×Dic79C2412yes—
873C4×Dic79C2412yes—
874C4×Dic79C2412yes—
875C4×Dic79C2412yes—
876C4×Dic79C2414yes—
877C4×Dic79C2414yes—
878C4×Dic79C2414yes—
879C4×Dic79C2412yes—
880C4×Dic79C2414yes—
881C4×Dic79C2414yes—
882C4×Dic79C2412yes—
883C4×Dic79C2412yes—
884C4×Dic79C2414yes—
885C4×Dic79C2412yes—
886C4×Dic79C2414yes—
887C4×Dic79C2414yes—
888C4×Dic79C2414yes—
889C4×Dic79C2414yes—
890C4×Dic79C2414yes—
891C4×Dic79C2414yes—
892#41×C79—82no—
893#41×C79—84no—
894C2×Q8×C79C2414yes—
895C2×Q8×C79C2412yes—
896C2×Q8×C79C2411yescharacteristic
897C2×D4×C79C2412yes—
898C2×D4×C79C2414yes—
899C2×D4×C79C2412yes—
900C2×D4×C79C2414yes—
901C2×D4×C79C2411yescharacteristic
902C2×D4×C79C2412yes—
903C2×D4×C79C2412yes—
904C2×D4×C79C2414yes—
905C22×C4×C79C2412yes—
906C22×C4×C79C2411yescharacteristic
907C22×C4×C79C2414yes—
908C22×C4×C79C2414yes—
909C22×C4×C79C2414yes—
910C22×C4×C79C2411yescharacteristic
911C22×C4×C79C2411yescharacteristic
912C22×C4×C79C2412yes—
913C22×C4×C79C2412yes—
914C22×C4×C79C2414yes—
915C4⋊C4×C79C2412yes—
916C4⋊C4×C79C2414yes—
917C4⋊C4×C79C2412yes—
918C4⋊C4×C79C2412yes—
919C4⋊C4×C79C2412yes—
920C4⋊C4×C79C2414yes—
921C4⋊C4×C79C2414yes—
922C4⋊C4×C79C2414yes—
923C4⋊C4×C79C2414yes—
924C4⋊C4×C79C2412yes—
925C4⋊C4×C79C2414yes—
926C4⋊C4×C79C2414yes—
927C4⋊C4×C79C2412yes—
928C4⋊C4×C79C2412yes—
929C4⋊C4×C79C2412yes—
930C4⋊C4×C79C2412yes—
931C4⋊C4×C79C2414yes—
932C4⋊C4×C79C2412yes—
933C4⋊C4×C79C2411yescharacteristic
934C4⋊C4×C79C2411yescharacteristic
935C22⋊C4×C79C2412yes—
936C22⋊C4×C79C2414yes—
937C22⋊C4×C79C2412yes—
938C22⋊C4×C79C2412yes—
939C22⋊C4×C79C2412yes—
940C22⋊C4×C79C2414yes—
941C22⋊C4×C79C2414yes—
942C22⋊C4×C79C2414yes—
943C22⋊C4×C79C2414yes—
944C22⋊C4×C79C2414yes—
945C22⋊C4×C79C2414yes—
946C22⋊C4×C79C2412yes—
947C42×C79C2411yescharacteristic
948C42×C79C2411yescharacteristic
949C42×C79C2411yescharacteristic
950C42×C79C2411yescharacteristic
951C42×C79C2412yes—
952C42×C79C2414yes—
953C23×C79C2511yescharacteristic
954C23×C79C2514yes—
955C23×C79C2512yes—
956C22×D79C2512yes—
957C22×D79C2512yes—
958Q8×C79—44no—
959Q8×C79—42no—
960Q8×C79—41no—
961D4×C79—24no—
962D4×C79—44no—
963D4×C79—42no—
964D4×C79—44no—
965D4×C79—42no—
966D4×C79—41no—
967D4×C79—42no—
968D4×C79—44no—
969C2×C4×C79—24no—
970C2×C4×C79—22no—
971C2×C4×C79—44no—
972C2×C4×C79—44no—
973C2×C4×C79—44no—
974C2×C4×C79—42no—
975C2×C4×C79—44no—
976C2×C4×C79—41no—
977C2×C4×C79—41no—
978C2×C4×C79—42no—
979C2×C4×C79C2512yes—
980C2×C4×C79C2511yescharacteristic
981C2×C4×C79C2512yes—
982C2×C4×C79C2514yes—
983C2×C4×C79C2512yes—
984C2×C4×C79C2514yes—
985C2×C4×C79C2511yescharacteristic
986C2×C4×C79C2511yescharacteristic
987C2×C4×C79C2514yes—
988C2×C4×C79C2511yescharacteristic
989C2×C4×C79C2511yescharacteristic
990C2×C4×C79C2511yescharacteristic
991C22⋊D79—28no—
992C22⋊D79—24no—
993C22⋊D79—42no—
994C22⋊D79—44no—
995C22⋊D79—44no—
996C22⋊D79—42no—
997C22⋊D79—44no—
998C22⋊D79—44no—
999C22⋊D79—42no—
1000C2×Dic79—28no—
1001C2×Dic79—28no—
1002C2×Dic79—42no—
1003C2×Dic79—44no—
1004C2×Dic79—44no—
1005C2×Dic79—44no—
1006C2×Dic79—42no—
1007C2×Dic79C2514yes—
1008C2×Dic79C2512yes—
1009C2×Dic79C2512yes—
1010C2×Dic79C2512yes—
1011C2×Dic79C2512yes—
1012C2×Dic79C2512yes—
1013C2×Dic79C2514yes—
1014C2×Dic79C2512yes—
1015C2×Dic79C2512yes—
1016C2×Dic79C2512yes—
1017C2×Dic79C2512yes—
1018C2×Dic79C2512yes—
1019D316—22no—
1020D316—44no—
1021D316—41no—
1022C4×D79—24no—
1023C4×D79—24no—
1024C4×D79—42no—
1025C4×D79—44no—
1026C4×D79—42no—
1027C4×D79—42no—
1028C4×D79—44no—
1029C4×D79—44no—
1030C4×D79—44no—
1031C4×D79—42no—
1032Dic158—24no—
1033Dic158—28no—
1034Dic158—44no—
1035Dic158—44no—
1036Dic158—44no—
1037Dic158—42no—
1038Dic158—42no—
1039Dic158—42no—
1040Dic158—44no—
1041Dic158—44no—
1042Dic158—42no—
1043Dic158—44no—
1044Dic158—42no—
1045Dic158—41no—
1046Dic1582−1+414yes—
1047C22×C79—21no—
1048C22×C79—24no—
1049C22×C79—22no—
1050C22×C79—22no—
1051C22×C79—24no—
1052C22×C79—21no—
1053C22×C79—21no—
1054C22×C79—24no—
1055C22×C79—22no—
1056C22×C79C2611yescharacteristic
1057C2×D79—22no—
1058C2×D79—22no—
1059C2×D79—22no—
1060C2×D79—22no—
1061C2×D79—22no—
1062C2×D79—22no—
1063C4×C79—22no—
1064C4×C79—21no—
1065C4×C79—21no—
1066C4×C79—24no—
1067C4×C79—22no—
1068C4×C79—24no—
1069C4×C79—21no—
1070C4×C79—24no—
1071C4×C79—22no—
1072C4×C79—21no—
1073C4×C79—21no—
1074C4×C79C2×2−1+412yes—
1075Dic79—24no—
1076Dic79—22no—
1077Dic79—22no—
1078Dic79—24no—
1079Dic79—22no—
1080Dic79—22no—
1081Dic79—22no—
1082Dic79—22no—
1083Dic79—22no—
1084Dic79—22no—
1085Dic79—22no—
1086Dic79C2×2−1+414yes—
1087#63061—791nomaximal, Sylow
1088C2×C79—41no—
1089C2×C79—44no—
1090C2×C79—42no—
1091C2×C79C22×2−1+411yescharacteristic
1092C2×C79H(7,𝔽2)11yescharacteristic
1093C2×C792−1+611yescharacteristic
1094D79—42no—
1095D79—42no—
1096#3565—792no—
1097#3565—794no—
1098#3563—792no—
1099#3563—791no—
1100#3559—792no—
1101#3559D7911yescharacteristic, complemented
1102#3557—792no—
1103#3557—794no—
1104#3554—794no—
1105#3554—792no—
1106#3552—792no—
1107#3552—794no—
1108#3550—792no—
1109#3550—791no—
1110#3547—792no—
1111#3547—794no—
1112#3544—794no—
1113#3544—792no—
1114#3531—792no—
1115#3531—791no—
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—791no—
1127#564—792no—
1128#563—792no—
1129#563—792no—
1130#563—791no—
1131#563—794no—
1132#563—792no—
1133#563—791no—
1134#563—792no—
1135#563—792no—
1136#563—792no—
1137#563—794no—
1138#563—794no—
1139#563—794no—
1140#563—794no—
1141#563—794no—
1142#563—792no—
1143#563—794no—
1144#563C2×D7912yes—
1145#562—791no—
1146#562—792no—
1147#562—794no—
1148#562—792no—
1149#562—794no—
1150#562—794no—
1151#562—794no—
1152#562—794no—
1153#562C2×D7912yes—
1154#559—792no—
1155#559—794no—
1156#559—794no—
1157#559—792no—
1158#559—794no—
1159#559—792no—
1160Q82—792no—
1161Q82—792no—
1162Q82—794no—
1163Q82—791no—
1164#557—791no—
1165#557—792no—
1166#557—794no—
1167#557—792no—
1168#557—792no—
1169#557—794no—
1170#557—792no—
1171#557—792no—
1172#557—794no—
1173#557—792no—
1174#556—794no—
1175#556—794no—
1176#556—794no—
1177#556—792no—
1178#556—791no—
1179#556—792no—
1180#556—792no—
1181#556—792no—
1182#555—792no—
1183#555—794no—
1184#555—792no—
1185#555—794no—
1186#555—791no—
1187#555—792no—
1188#554—792no—
1189#554—792no—
1190#554—794no—
1191#554—794no—
1192#554—792no—
1193#554—794no—
1194#554—794no—
1195#554—794no—
1196#554—794no—
1197#554—792no—
1198#554—792no—
1199#554C2×D7912yes—
1200#553—794no—
1201#553—794no—
1202#553—794no—
1203#553—792no—
1204#553—792no—
1205#553—794no—
1206#553C2×D7912yes—
1207#553C2×D7912yes—
1208#552—794no—
1209#552—794no—
1210#552—794no—
1211#552—792no—
1212#552—794no—
1213#552—794no—
1214#552—794no—
1215#552—794no—
1216#552—792no—
1217#552—792no—
1218#552—794no—
1219#552—794no—
1220#550—792no—
1221#550—791no—
1222#550—791no—
1223#550—792no—
1224D4×Q8—794no—
1225D4×Q8—794no—
1226D4×Q8—794no—
1227D4×Q8—792no—
1228D4×Q8—792no—
1229D4×Q8—791no—
1230D4×Q8—792no—
1231#548—794no—
1232#548—792no—
1233#548—792no—
1234#548—794no—
1235#548—792no—
1236#548—794no—
1237#547—792no—
1238#547—794no—
1239#547—791no—
1240#547—794no—
1241#547—794no—
1242#547—794no—
1243#547—792no—
1244#547C2×D7912yes—
1245#547C2×D7914yes—
1246#544—794no—
1247#544—792no—
1248#544—792no—
1249#544—792no—
1250#544—792no—
1251#544—794no—
1252#544—794no—
1253#544—794no—
1254#544—794no—
1255#544—792no—
1256#544—791no—
1257#544—791no—
1258#544—792no—
1259#544C2×D7912yes—
1260#542—792no—
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—792no—
1273#542—792no—
1274#542—792no—
1275#542—794no—
1276#542—794no—
1277#542—792no—
1278#542—794no—
1279#542—794no—
1280#542—792no—
1281#541—794no—
1282#541—794no—
1283#541—794no—
1284#541—792no—
1285#541—794no—
1286#540—794no—
1287#540—794no—
1288#540—794no—
1289#540—792no—
1290#540—792no—
1291#540C2×D7912yes—
1292#539—794no—
1293#539—794no—
1294#539—794no—
1295#539—794no—
1296#539—794no—
1297#539—794no—
1298#539—794no—
1299#539—792no—
1300#539C2×D7914yes—
1301#539C2×D7912yes—
1302#537—794no—
1303#537C2×D7912yes—
1304#536—794no—
1305#536—794no—
1306#536—794no—
1307#536—794no—
1308#536—794no—
1309#536—794no—
1310#533—792no—
1311#533—792no—
1312#533—794no—
1313#533—794no—
1314#533—794no—
1315#533—792no—
1316#533—792no—
1317#533—792no—
1318#533—791no—
1319#533—791no—
1320#532—794no—
1321#532—792no—
1322#532—792no—
1323#532C2×D7911yescharacteristic
1324C2×C4⋊Q8—792no—
1325C2×C4⋊Q8—794no—
1326#529—792no—
1327#529—792no—
1328#529—792no—
1329#529—794no—
1330#529—794no—
1331#529—794no—
1332#529—794no—
1333#529—792no—
1334#529—794no—
1335#529—792no—
1336#529—794no—
1337#529—792no—
1338#529—792no—
1339#529—794no—
1340#529—792no—
1341#529—792no—
1342#529—791no—
1343#529C2×D7911yescharacteristic
1344C2×#125—792no—
1345C2×#125C2×D7911yescharacteristic
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—792no—
1359C2×#41—794no—
1360C2×#41—791no—
1361C2×#41C22×D7914yes—
1362C2×#41C22×D7912yes—
1363C22×Q8—794no—
1364C22×Q8—794no—
1365C22×Q8—794no—
1366C22×Q8—792no—
1367C4⋊Q8—794no—
1368C4⋊Q8—792no—
1369C4⋊Q8—794no—
1370C4⋊Q8—792no—
1371C4⋊Q8—794no—
1372C4⋊Q8—794no—
1373C4⋊Q8—794no—
1374C4⋊Q8—794no—
1375C4⋊Q8—794no—
1376C4⋊Q8—792no—
1377C4⋊Q8—794no—
1378C4⋊Q8—794no—
1379C4⋊Q8—794no—
1380C4⋊Q8—794no—
1381C4⋊Q8—792no—
1382C4⋊Q8—794no—
1383C4⋊Q8—794no—
1384C4⋊Q8—792no—
1385C4⋊Q8—792no—
1386C4⋊Q8—792no—
1387C4⋊Q8—792no—
1388C4⋊Q8—794no—
1389C4⋊Q8—792no—
1390C4⋊Q8—792no—
1391C4⋊Q8—794no—
1392C4⋊Q8—792no—
1393C4⋊Q8—792no—
1394C4⋊Q8—792no—
1395C4⋊Q8—792no—
1396C4⋊Q8—794no—
1397C4⋊Q8—794no—
1398C4⋊Q8—794no—
1399C4⋊Q8—792no—
1400C4⋊Q8—791no—
1401C4⋊Q8—791no—
1402C4⋊Q8—791no—
1403C4⋊Q8—791no—
1404C4⋊Q8C22×D7912yes—
1405C4⋊Q8C22×D7911yescharacteristic
1406C4⋊Q8C22×D7914yes—
1407#127—792no—
1408#127—792no—
1409#127—794no—
1410#127C22×D7911yescharacteristic
1411#126—794no—
1412#126—792no—
1413#126—794no—
1414#126—794no—
1415#126—792no—
1416#126—792no—
1417#126—794no—
1418#126—794no—
1419#126—794no—
1420#126—794no—
1421#126—794no—
1422#126—792no—
1423#126—792no—
1424#126—794no—
1425#126—792no—
1426#126—794no—
1427#126—794no—
1428#126—794no—
1429#126—794no—
1430#126—792no—
1431#126—792no—
1432#126—794no—
1433#126—794no—
1434#126—794no—
1435#126—794no—
1436#126—794no—
1437#126—794no—
1438#126—794no—
1439#126—794no—
1440#126—792no—
1441#126C22×D7912yes—
1442#126C22×D7914yes—
1443#126C22×D7914yes—
1444#125—792no—
1445#125—792no—
1446#125—794no—
1447#125—794no—
1448#125—794no—
1449#125—792no—
1450#125—792no—
1451#125—794no—
1452#125—792no—
1453#125—794no—
1454#125—792no—
1455#125—794no—
1456#125—794no—
1457#125—792no—
1458#125—794no—
1459#125—794no—
1460#125—792no—
1461#125—794no—
1462#125—792no—
1463#125—794no—
1464#125—792no—
1465#125—794no—
1466#125—792no—
1467#125—794no—
1468#125—792no—
1469#125—792no—
1470#125—794no—
1471#125—794no—
1472#125—792no—
1473#125—794no—
1474#125—794no—
1475#125—794no—
1476#125—794no—
1477#125—794no—
1478#125—794no—
1479#125—794no—
1480#125—791no—
1481#125—791no—
1482#125—792no—
1483#125—791no—
1484#125—794no—
1485#125C22×D7912yes—
1486#125C22×D7912yes—
1487#125C22×D7912yes—
1488#125C22×D7912yes—
1489#125C22×D7912yes—
1490#125C22×D7911yescharacteristic
1491#125C22×D7914yes—
1492#124—794no—
1493#124—792no—
1494#124—794no—
1495#124—792no—
1496#124—792no—
1497#124—794no—
1498#124—794no—
1499#124—794no—
1500#124—794no—
1501#124—794no—
1502#124—794no—
1503#124—792no—
1504#124—794no—
1505#124—794no—
1506#124—794no—
1507#124—792no—
1508#124—794no—
1509#124—792no—
1510#124—794no—
1511#124—794no—
1512#124—794no—
1513#124—794no—
1514#124—794no—
1515#124—794no—
1516#124—791no—
1517#124—792no—
1518#124—794no—
1519#124C22×D7911yescharacteristic
1520#124C22×D7912yes—
1521#123—792no—
1522#123—794no—
1523#123—794no—
1524#123—794no—
1525#123—794no—
1526#123—792no—
1527#123—794no—
1528#123—794no—
1529#123—794no—
1530#123—794no—
1531#123—794no—
1532#123—794no—
1533#123—792no—
1534#123—794no—
1535#123—794no—
1536#123—794no—
1537#123—794no—
1538#123—794no—
1539#123—792no—
1540#123—794no—
1541#123—794no—
1542#123—794no—
1543#123—794no—
1544#123—792no—
1545#123—794no—
1546#123—792no—
1547#123—794no—
1548#123—792no—
1549#123—792no—
1550#123—792no—
1551#123—794no—
1552#123—794no—
1553#123—794no—
1554#123—794no—
1555#123—794no—
1556#123—794no—
1557#123C22×D7914yes—
1558#123C22×D7914yes—
1559#123C22×D7914yes—
1560#123C22×D7912yes—
1561#123C22×D7914yes—
1562#123C22×D7914yes—
1563#123C22×D7914yes—
1564C22⋊Q8—792no—
1565C22⋊Q8—792no—
1566C22⋊Q8—792no—
1567C22⋊Q8—794no—
1568C22⋊Q8—794no—
1569C22⋊Q8—792no—
1570C22⋊Q8—794no—
1571C22⋊Q8—791no—
1572C22⋊Q8—792no—
1573C22⋊Q8—792no—
1574C22⋊Q8—794no—
1575C22⋊Q8—792no—
1576C22⋊Q8—794no—
1577C22⋊Q8—792no—
1578C22⋊Q8—794no—
1579C22⋊Q8—794no—
1580C22⋊Q8—794no—
1581C22⋊Q8—794no—
1582C22⋊Q8—794no—
1583C22⋊Q8—794no—
1584C22⋊Q8—794no—
1585C22⋊Q8—792no—
1586C22⋊Q8—792no—
1587C22⋊Q8—792no—
1588C22⋊Q8—792no—
1589C22⋊Q8—794no—
1590C22⋊Q8—794no—
1591C22⋊Q8—792no—
1592C22⋊Q8—794no—
1593C22⋊Q8—792no—
1594C22⋊Q8—794no—
1595C22⋊Q8—792no—
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—792no—
1608C22⋊Q8—792no—
1609C22⋊Q8—794no—
1610C22⋊Q8—794no—
1611C22⋊Q8—794no—
1612C22⋊Q8—794no—
1613C22⋊Q8—792no—
1614C22⋊Q8—792no—
1615C22⋊Q8—794no—
1616C22⋊Q8—794no—
1617C22⋊Q8—794no—
1618C22⋊Q8—794no—
1619C22⋊Q8—792no—
1620C22⋊Q8—792no—
1621C22⋊Q8—794no—
1622C22⋊Q8—794no—
1623C22⋊Q8—794no—
1624C22⋊Q8—794no—
1625C22⋊Q8—794no—
1626C22⋊Q8—794no—
1627C22⋊Q8C22×D7911yescharacteristic
1628C22⋊Q8C22×D7914yes—
1629C22⋊Q8C22×D7914yes—
1630C22⋊Q8C22×D7914yes—
1631C22⋊Q8C22×D7914yes—
1632C22⋊Q8C22×D7914yes—
1633C22⋊Q8C22×D7914yes—
1634#121—792no—
1635#121—794no—
1636#121—792no—
1637#121—792no—
1638#121—792no—
1639#121—792no—
1640#121—794no—
1641#121—794no—
1642#121—794no—
1643#121—792no—
1644#121—794no—
1645#121—794no—
1646#121—794no—
1647#121—794no—
1648#121—794no—
1649#121—794no—
1650#121—794no—
1651#121—794no—
1652#121—791no—
1653#121—792no—
1654#121—794no—
1655#121—792no—
1656#121—792no—
1657#121—794no—
1658#121—794no—
1659#121—794no—
1660#121C22×D7914yes—
1661#121C22×D7914yes—
1662#121C22×D7912yes—
1663#121C22×D7911yescharacteristic
1664#121C22×D7912yes—
1665#121C22×D7912yes—
1666#121C22×D7912yes—
1667#121C22×D7914yes—
1668#121C22×D7914yes—
1669C4×Q8—792no—
1670C4×Q8—792no—
1671C4×Q8—794no—
1672C4×Q8—792no—
1673C4×Q8—792no—
1674C4×Q8—794no—
1675C4×Q8—792no—
1676C4×Q8—794no—
1677C4×Q8—792no—
1678C4×Q8—792no—
1679C4×Q8—792no—
1680C4×Q8—792no—
1681C4×Q8—794no—
1682C4×Q8—794no—
1683C4×Q8—794no—
1684C4×Q8—794no—
1685C4×Q8—794no—
1686C4×Q8—794no—
1687C4×Q8—794no—
1688C4×Q8—794no—
1689C4×Q8—794no—
1690C4×Q8—794no—
1691C4×Q8—791no—
1692C4×Q8—792no—
1693C4×Q8—791no—
1694C4×Q8—794no—
1695C4×Q8—794no—
1696C4×Q8—792no—
1697C4×Q8—792no—
1698C4×Q8—792no—
1699C4×Q8—792no—
1700C4×Q8—791no—
1701C4×Q8—792no—
1702C4×Q8—792no—
1703C4×Q8—792no—
1704C4×Q8—794no—
1705C4×Q8—794no—
1706C4×Q8C22×D7911yescharacteristic
1707C4×D4—792no—
1708C4×D4—792no—
1709C4×D4—792no—
1710C4×D4—794no—
1711C4×D4—792no—
1712C4×D4—794no—
1713C4×D4—792no—
1714C4×D4—794no—
1715C4×D4—794no—
1716C4×D4—792no—
1717C4×D4—794no—
1718C4×D4—792no—
1719C4×D4—794no—
1720C4×D4—794no—
1721C4×D4—794no—
1722C4×D4—794no—
1723C4×D4—792no—
1724C4×D4—792no—
1725C4×D4—792no—
1726C4×D4—794no—
1727C4×D4—794no—
1728C4×D4—794no—
1729C4×D4—794no—
1730C4×D4—794no—
1731C4×D4—792no—
1732C4×D4—792no—
1733C4×D4—794no—
1734C4×D4—794no—
1735C4×D4—794no—
1736C4×D4—794no—
1737C4×D4—794no—
1738C4×D4—794no—
1739C4×D4—794no—
1740C4×D4—794no—
1741C4×D4—794no—
1742C4×D4—791no—
1743C4×D4—791no—
1744C4×D4—791no—
1745C4×D4C22×D7912yes—
1746C4×D4C22×D7912yes—
1747C4×D4C22×D7912yes—
1748C4×D4C22×D7912yes—
1749C4×D4C22×D7911yescharacteristic
1750C4×D4C22×D7914yes—
1751C4×D4C22×D7914yes—
1752C4×D4C22×D7912yes—
1753#117—791no—
1754#117—792no—
1755#117—792no—
1756#117—791no—
1757#117—791no—
1758#117—794no—
1759#117—794no—
1760#117—794no—
1761#117—792no—
1762#117—792no—
1763#117—792no—
1764#117—792no—
1765#117—794no—
1766#117—794no—
1767#117—792no—
1768#117—792no—
1769#117—794no—
1770#117—794no—
1771#117—794no—
1772#117—794no—
1773#117—794no—
1774#117—794no—
1775#117—794no—
1776#117—794no—
1777#117—794no—
1778#117—792no—
1779#117—792no—
1780#117—792no—
1781#117—794no—
1782#117—794no—
1783#117C22×D7912yes—
1784#117C22×D7912yes—
1785C2×C4⋊C4—794no—
1786C2×C4⋊C4—794no—
1787C2×C4⋊C4—794no—
1788C2×C4⋊C4—794no—
1789C2×C4⋊C4—792no—
1790C2×C4⋊C4—792no—
1791C2×C4⋊C4—792no—
1792C2×C4⋊C4—792no—
1793C2×C4⋊C4—794no—
1794C2×C4⋊C4—794no—
1795C2×C4⋊C4—794no—
1796C2×C4⋊C4C22×D7912yes—
1797C2×C4⋊C4C22×D7911yescharacteristic
1798C2×C4⋊C4C22×D7911yescharacteristic
1799C2×C4⋊C4C22×D7912yes—
1800C2×C4⋊C4C22×D7912yes—
1801C2×C4⋊C4C22×D7914yes—
1802C2×C42—792no—
1803C2×C42—794no—
1804C2×C42—794no—
1805C2×C42—792no—
1806C2×C42—792no—
1807C2×C42C22×D7911yescharacteristic
1808#41—82no—
1809#41—84no—
1810#41—6324no—
1811#41—6322no—
1812#41—6324no—
1813#41—6322no—
1814#41—1584no—
1815#41—1588no—
1816C2×Q8—794no—
1817C2×Q8—792no—
1818C2×Q8—792no—
1819C2×Q8—794no—
1820C2×Q8—792no—
1821C2×Q8—792no—
1822C2×Q8—794no—
1823C2×Q8—794no—
1824C2×Q8—794no—
1825C2×Q8—794no—
1826C2×Q8—792no—
1827C2×Q8—791no—
1828C2×Q8—791no—
1829C2×Q8—794no—
1830C2×Q8—792no—
1831C2×Q8—6324no—
1832C2×Q8—6324no—
1833C2×Q8—6324no—
1834C2×Q8—1588no—
1835C2×Q8C23×D7911yescharacteristic
1836C2×Q8C23×D7914yes—
1837C2×Q8C23×D7912yes—
1838C2×D4—792no—
1839C2×D4—794no—
1840C2×D4—792no—
1841C2×D4—794no—
1842C2×D4—792no—
1843C2×D4—794no—
1844C2×D4—794no—
1845C2×D4—792no—
1846C2×D4—794no—
1847C2×D4—794no—
1848C2×D4—791no—
1849C2×D4—791no—
1850C2×D4C23×D7912yes—
1851C2×D4C23×D7911yescharacteristic
1852C2×D4C23×D7914yes—
1853C2×D4C23×D7912yes—
1854C2×D4C23×D7914yes—
1855C2×D4C23×D7912yes—
1856C2×D4C23×D7912yes—
1857C2×D4C23×D7914yes—
1858C22×C4—792no—
1859C22×C4—792no—
1860C22×C4—794no—
1861C22×C4—794no—
1862C22×C4—794no—
1863C22×C4—792no—
1864C22×C4—792no—
1865C22×C4—792no—
1866C22×C4—792no—
1867C22×C4—794no—
1868C22×C4—794no—
1869C22×C4—794no—
1870C22×C4—794no—
1871C22×C4—794no—
1872C22×C4—794no—
1873C22×C4—792no—
1874C22×C4—792no—
1875C22×C4C23×D7912yes—
1876C22×C4C23×D7911yescharacteristic
1877C22×C4C23×D7914yes—
1878C22×C4C23×D7914yes—
1879C22×C4C23×D7911yescharacteristic
1880C22×C4C23×D7911yescharacteristic
1881C22×C4C23×D7914yes—
1882C22×C4C23×D7914yes—
1883C22×C4C23×D7912yes—
1884C22×C4C23×D7912yes—
1885C4⋊C4—794no—
1886C4⋊C4—792no—
1887C4⋊C4—794no—
1888C4⋊C4—794no—
1889C4⋊C4—792no—
1890C4⋊C4—794no—
1891C4⋊C4—792no—
1892C4⋊C4—794no—
1893C4⋊C4—792no—
1894C4⋊C4—792no—
1895C4⋊C4—794no—
1896C4⋊C4—794no—
1897C4⋊C4—794no—
1898C4⋊C4—794no—
1899C4⋊C4—794no—
1900C4⋊C4—794no—
1901C4⋊C4—792no—
1902C4⋊C4—792no—
1903C4⋊C4—792no—
1904C4⋊C4—792no—
1905C4⋊C4—792no—
1906C4⋊C4—794no—
1907C4⋊C4—794no—
1908C4⋊C4—794no—
1909C4⋊C4—794no—
1910C4⋊C4—794no—
1911C4⋊C4—794no—
1912C4⋊C4—792no—
1913C4⋊C4—794no—
1914C4⋊C4—792no—
1915C4⋊C4—792no—
1916C4⋊C4—794no—
1917C4⋊C4—794no—
1918C4⋊C4—794no—
1919C4⋊C4—792no—
1920C4⋊C4—794no—
1921C4⋊C4—792no—
1922C4⋊C4—792no—
1923C4⋊C4—792no—
1924C4⋊C4—794no—
1925C4⋊C4—792no—
1926C4⋊C4—791no—
1927C4⋊C4—791no—
1928C4⋊C4—791no—
1929C4⋊C4—794no—
1930C4⋊C4—794no—
1931C4⋊C4—792no—
1932C4⋊C4—792no—
1933C4⋊C4—794no—
1934C4⋊C4—794no—
1935C4⋊C4—791no—
1936C4⋊C4—791no—
1937C4⋊C4—791no—
1938C4⋊C4—794no—
1939C4⋊C4—794no—
1940C4⋊C4—792no—
1941C4⋊C4—792no—
1942C4⋊C4—792no—
1943C4⋊C4—792no—
1944C4⋊C4—792no—
1945C4⋊C4—792no—
1946C4⋊C4—791no—
1947C4⋊C4—792no—
1948C4⋊C4—791no—
1949C4⋊C4—794no—
1950C4⋊C4—792no—
1951C4⋊C4C23×D7912yes—
1952C4⋊C4C23×D7912yes—
1953C4⋊C4C23×D7912yes—
1954C4⋊C4C23×D7912yes—
1955C4⋊C4C23×D7914yes—
1956C4⋊C4C23×D7914yes—
1957C4⋊C4C23×D7914yes—
1958C4⋊C4C23×D7914yes—
1959C4⋊C4C23×D7912yes—
1960C4⋊C4C23×D7912yes—
1961C4⋊C4C23×D7914yes—
1962C4⋊C4C23×D7914yes—
1963C4⋊C4C23×D7914yes—
1964C4⋊C4C23×D7911yescharacteristic
1965C4⋊C4C23×D7911yescharacteristic
1966C4⋊C4C23×D7912yes—
1967C4⋊C4C23×D7912yes—
1968C4⋊C4C23×D7914yes—
1969C4⋊C4C23×D7912yes—
1970C4⋊C4C23×D7912yes—
1971C22⋊C4—792no—
1972C22⋊C4—794no—
1973C22⋊C4—792no—
1974C22⋊C4—792no—
1975C22⋊C4—794no—
1976C22⋊C4—794no—
1977C22⋊C4—794no—
1978C22⋊C4—794no—
1979C22⋊C4—794no—
1980C22⋊C4—792no—
1981C22⋊C4—794no—
1982C22⋊C4—792no—
1983C22⋊C4—792no—
1984C22⋊C4—794no—
1985C22⋊C4—794no—
1986C22⋊C4—794no—
1987C22⋊C4—792no—
1988C22⋊C4—794no—
1989C22⋊C4—792no—
1990C22⋊C4—794no—
1991C22⋊C4—792no—
1992C22⋊C4—794no—
1993C22⋊C4—794no—
1994C22⋊C4—794no—
1995C22⋊C4—792no—
1996C22⋊C4—792no—
1997C22⋊C4—792no—
1998C22⋊C4—792no—
1999C22⋊C4—794no—
2000C22⋊C4—792no—
2001C22⋊C4—792no—
2002C22⋊C4—794no—
2003C22⋊C4—794no—
2004C22⋊C4—792no—
2005C22⋊C4—792no—
2006C22⋊C4—794no—
2007C22⋊C4—792no—
2008C22⋊C4—794no—
2009C22⋊C4C23×D7912yes—
2010C22⋊C4C23×D7914yes—
2011C22⋊C4C23×D7912yes—
2012C22⋊C4C23×D7914yes—
2013C22⋊C4C23×D7914yes—
2014C22⋊C4C23×D7914yes—
2015C22⋊C4C23×D7914yes—
2016C22⋊C4C23×D7914yes—
2017C22⋊C4C23×D7914yes—
2018C22⋊C4C23×D7912yes—
2019C22⋊C4C23×D7912yes—
2020C22⋊C4C23×D7912yes—
2021C42—792no—
2022C42—792no—
2023C42—794no—
2024C42—792no—
2025C42—794no—
2026C42—794no—
2027C42—794no—
2028C42—792no—
2029C42—792no—
2030C42—792no—
2031C42—794no—
2032C42—792no—
2033C42—792no—
2034C42—794no—
2035C42—792no—
2036C42—794no—
2037C42—792no—
2038C42—794no—
2039C42—794no—
2040C42—794no—
2041C42—794no—
2042C42—794no—
2043C42C23×D7911yescharacteristic
2044C42C23×D7912yes—
2045C42C23×D7911yescharacteristic
2046C42C23×D7911yescharacteristic
2047C42C23×D7911yescharacteristic
2048C42C23×D7914yes—
2049C23—792no—
2050C23—792no—
2051C23C24×D7911yescharacteristic
2052C23C24×D7912yes—
2053C23C24×D7914yes—
2054Q8—44no—
2055Q8—41no—
2056Q8—42no—
2057Q8—3162no—
2058Q8—3162no—
2059Q8—3164no—
2060Q8—3164no—
2061Q8—3164no—
2062Q8—3162no—
2063Q8—3164no—
2064Q8—3164no—
2065Q8—3161no—
2066Q8—3164no—
2067Q8—3162no—
2068Q8—3162no—
2069Q8—794no—
2070Q8—1588no—
2071Q8—1584no—
2072D4—24no—
2073D4—44no—
2074D4—41no—
2075D4—42no—
2076D4—44no—
2077D4—42no—
2078D4—44no—
2079D4—42no—
2080D4—3164no—
2081D4—3161no—
2082D4—3162no—
2083D4—3162no—
2084D4—3164no—
2085D4—3164no—
2086D4—3162no—
2087D4—3164no—
2088D4—3164no—
2089D4—1584no—
2090D4—1588no—
2091D4—1582no—
2092C2×C4—24no—
2093C2×C4—22no—
2094C2×C4—42no—
2095C2×C4—44no—
2096C2×C4—41no—
2097C2×C4—44no—
2098C2×C4—44no—
2099C2×C4—41no—
2100C2×C4—42no—
2101C2×C4—44no—
2102C2×C4—3162no—
2103C2×C4—3164no—
2104C2×C4—3164no—
2105C2×C4—3164no—
2106C2×C4—3162no—
2107C2×C4—3164no—
2108C2×C4—3162no—
2109C2×C4—3162no—
2110C2×C4—3164no—
2111C2×C4—3164no—
2112C2×C4—3164no—
2113C2×C4—3162no—
2114C2×C4—3162no—
2115C2×C4—792no—
2116C2×C4—794no—
2117C2×C4—792no—
2118C2×C4—792no—
2119C2×C4—792no—
2120C2×C4—792no—
2121C2×C4—792no—
2122C2×C4—792no—
2123C2×C4—794no—
2124C2×C4—792no—
2125C2×C4—792no—
2126C2×C4—792no—
2127C2×C4—1584no—
2128C2×C4—1588no—
2129C2×C4—1588no—
2130C2×C4—1584no—
2131C2×C4C24×D7912yes—
2132C2×C4C24×D7911yescharacteristic
2133C2×C4C24×D7912yes—
2134C2×C4C24×D7914yes—
2135C2×C4C24×D7912yes—
2136C2×C4C24×D7914yes—
2137C2×C4C24×D7911yescharacteristic
2138C2×C4C24×D7911yescharacteristic
2139C2×C4C24×D7911yescharacteristic
2140C2×C4C24×D7914yes—
2141C2×C4C24×D7911yescharacteristic
2142C2×C4C24×D7911yescharacteristic
2143C22—22no—
2144C22—21no—
2145C22—24no—
2146C22—21no—
2147C22—24no—
2148C22—22no—
2149C22—21no—
2150C22—24no—
2151C22—22no—
2152C22—1582no—
2153C22—1582no—
2154C22—1582no—
2155C22—1582no—
2156C22—1582no—
2157C22—1582no—
2158C22C25×D7911yescharacteristic
2159C4—21no—
2160C4—22no—
2161C4—21no—
2162C4—24no—
2163C4—24no—
2164C4—22no—
2165C4—21no—
2166C4—24no—
2167C4—22no—
2168C4—21no—
2169C4—21no—
2170C4—794no—
2171C4—1582no—
2172C4—1584no—
2173C4—1582no—
2174C4—1582no—
2175C4—1582no—
2176C4—1584no—
2177C4—1582no—
2178C4—1582no—
2179C4—1582no—
2180C4—1582no—
2181C4—1582no—
2182C42−1+4×D7912yes—
2183C2—42no—
2184C2—41no—
2185C2—44no—
2186C2—3162no—
2187C2—3162no—
2188C2C2×2−1+4×D7911yescharacteristic
2189C2#2377821011yescharacteristic
2190C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3559C2
hypercenter#3559D79
hypocenterC79#63061
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3559

Complements

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

NH ≅ G/Ntype
1. #23778046C2semidirect
2. #23778044C2semidirect
3. #23778006C2semidirect
4. #23778000C2semidirect
5. #23777928C2semidirect
6. #23777904C2semidirect
7. #23777901C2semidirect
8. #23777866C2semidirect
9. #23777861C2semidirect
10. #23777838C2semidirect
11. #23777833C2semidirect
12. #23777814C2semidirect
13. #23777810C2semidirect
14. #23777784C2semidirect
15. #23777779C2semidirect
16. #23777743C2semidirect
17. #23777736C2semidirect
18. #23777545C2semidirect
19. #23777544C2semidirect
20. #23777508C2semidirect
21. #23777503C2semidirect
22. #23777478C2semidirect
23. #23777415C2semidirect
24. #23777398C2semidirect
25. #23777384C2semidirect
26. #23777224C2semidirect
27. #23777214C2semidirect
28. #23777208C2semidirect
29. C79×#3559C2semidirect
1101. #3559D79semidirect
1125. C79#63061semidirect

Maximal subgroups

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

subgroupindex
#237780462
#237780442
#237780062
#237780002
#237779282
#237779042
#237779012
#237778662
#237778612
#237778382
#237778332
#237778142
#237778102
#237777842
#237777792
#237777432
#237777362
#237775452
#237775442
#237775082
#237775032
#237774782
#237774152
#237773982
#237773842
#237772242
#237772142
#237772082
C79×#35592
#6306179