Finite Group Databasebeta

← #35201954

Subgroups — #35201954

Order 20224.

6492 conjugacy classes of subgroups.

The subgroup lattice has 2260 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778087C212yesmaximal, complemented
2#23778072C214yesmaximal, complemented
3#23778023C214yesmaximal, complemented
4#23778010C211yesmaximal, characteristic, complemented
5#23777974C214yesmaximal, complemented
6#23777962C212yesmaximal, complemented
7#23777949C214yesmaximal, complemented
8#23777938C211yesmaximal, characteristic, complemented
9#23777835C212yesmaximal, complemented
10#23777821C214yesmaximal, complemented
11#23777818C212yesmaximal, complemented
12#23777779C214yesmaximal, complemented
13#23777750C212yesmaximal, complemented
14#23777736C212yesmaximal, complemented
15#23777706C212yesmaximal, complemented
16#23777683C212yesmaximal, complemented
17#23777618C212yesmaximal, complemented
18#23777544C212yesmaximal, complemented
19#23777536C211yesmaximal, characteristic, complemented
20#23777498C212yesmaximal, complemented
21#23777469C212yesmaximal, complemented
22#23777409C211yesmaximal, characteristic, complemented
23#23777356C211yesmaximal, characteristic, complemented
24#23777320C211yesmaximal, characteristic, complemented
25#23777309C212yesmaximal, complemented
26#23777148C212yesmaximal, complemented
27#23777124C212yesmaximal, complemented
28#23777119C212yesmaximal, complemented
29C79×#3548C211yesmaximal, characteristic, complemented
30C79⋊#564C2212yescomplemented
31#19099317C2212yes—
32#19099317C2214yescomplemented
33#19099316C2214yescomplemented
34#19099316C2214yescomplemented
35#19099314C2214yescomplemented
36#19099314C2214yescomplemented
37#19099314C2214yescomplemented
38#19099313C2211yescharacteristic, complemented
39#19099313C2212yescomplemented
40#19099312C2212yescomplemented
41#19099308C2212yescomplemented
42#19099308C2212yescomplemented
43#19099308C2214yescomplemented
44#19099308C2214yescomplemented
45#19099308C2214yescomplemented
46#19099308C2214yescomplemented
47#19099307C2211yescharacteristic
48#19099307C2211yescharacteristic, complemented
49#19099307C2212yescomplemented
50#19099305C2211yescharacteristic
51#19099301C2212yes—
52#19099301C2212yescomplemented
53#19099301C2214yescomplemented
54#19099300C2214yes—
55#19099300C2212yescomplemented
56#19099299C2214yescomplemented
57#19099299C2211yescharacteristic, complemented
58#19099293C2211yescharacteristic, complemented
59#19099289C2212yescomplemented
60#19099287C2211yescharacteristic
61#19099287C2211yescharacteristic, complemented
62#19099285C2214yescomplemented
63#19099284C2212yescomplemented
64#19099284C2212yescomplemented
65#19099284C2212yescomplemented
66#19099284C2214yescomplemented
67#19099281C2212yescomplemented
68#19099279C2211yescharacteristic
69#19099277C2212yes—
70#19099277C2214yescomplemented
71#19099277C2212yescomplemented
72#19099277C2212yescomplemented
73#19099277C2214yescomplemented
74#19099277C2214yescomplemented
75#19099276C2212yescomplemented
76#19099272C2212yescomplemented
77#19099271C2212yescomplemented
78#19099271C2212yescomplemented
79#19099268C2212yescomplemented
80#19099268C2214yescomplemented
81#19099265C2214yescomplemented
82#19099265C2212yescomplemented
83#19099265C2214yescomplemented
84#19099265C2212yescomplemented
85#19099263C2212yescomplemented
86#19099261C2212yescomplemented
87#19099259C2212yescomplemented
88#19099259C2212yescomplemented
89#19099258C2214yescomplemented
90#19099256C2214yescomplemented
91#19099256C2214yescomplemented
92#19099256C2214yescomplemented
93#19099256C2214yescomplemented
94#19099256C2214yescomplemented
95#19099255C2212yescomplemented
96#19099255C2214yescomplemented
97#19099255C2212yescomplemented
98#19099254C2212yes—
99#19099253C2214yescomplemented
100#19099253C2212yescomplemented
101#19099253C2212yescomplemented
102#19099250C2214yescomplemented
103#19099248C2212yescomplemented
104#19099248C2214yescomplemented
105#19099247C2214yescomplemented
106#19099246C2214yescomplemented
107#19099245C2214yescomplemented
108#19099242C2214yescomplemented
109#19099242C2214yescomplemented
110#19099242C2214yescomplemented
111#19099241C2214yescomplemented
112#19099240C2214yes—
113#19099240C2214yescomplemented
114#19099240C2214yescomplemented
115#19099236C2214yescomplemented
116#19099236C2214yescomplemented
117#19099228C2211yescharacteristic, complemented
118#19099228C2211yescharacteristic, complemented
119#19099226C2214yescomplemented
120#19099223C2212yescomplemented
121#19099222C2214yescomplemented
122#19099220C2212yescomplemented
123#19099220C2212yescomplemented
124#19099220C2212yescomplemented
125#19099219C2214yescomplemented
126#19099219C2214yescomplemented
127#19099214C2212yes—
128#19099213C2212yescomplemented
129#19099213C2212yescomplemented
130#19099212C2214yescomplemented
131#19099212C2214yescomplemented
132#19099210C2212yescomplemented
133#19099210C2214yescomplemented
134#19099205C2214yescomplemented
135#19099202C2214yes—
136#19099202C2214yescomplemented
137#19099201C2212yes—
138#19099201C2212yes—
139#19099201C2212yescomplemented
140#19099201C2214yescomplemented
141#19099198C2211yescharacteristic
142#19099194C2212yescomplemented
143#19099192C2214yescomplemented
144#19099192C2212yescomplemented
145#19099190C2212yescomplemented
146#19099190C2212yescomplemented
147#19099188C2214yescomplemented
148#19099186C2214yescomplemented
149#19099186C2212yescomplemented
150#19099185C2212yescomplemented
151#19099183C2214yes—
152#19099183C2214yescomplemented
153#19099183C2214yescomplemented
154#19099181C2214yescomplemented
155#19099181C2214yescomplemented
156#19099180C2214yescomplemented
157#19099180C2212yescomplemented
158#19099180C2214yescomplemented
159#19099178C2212yescomplemented
160#19099174C2212yescomplemented
161#19099174C2212yescomplemented
162#19099172C2214yescomplemented
163#19099172C2214yescomplemented
164#19099171C2214yescomplemented
165#19099167C2214yescomplemented
166#19099167C2212yescomplemented
167#19099167C2212yescomplemented
168#19099166C2214yescomplemented
169#19099165C2214yescomplemented
170#19099163C2214yescomplemented
171#19099163C2214yescomplemented
172#19099162C2212yes—
173#19099162C2214yescomplemented
174#19099160C2214yescomplemented
175#19099159C2214yescomplemented
176#19099158C2212yescomplemented
177#19099157C2214yescomplemented
178#19099155C2214yescomplemented
179#19099155C2214yescomplemented
180#19099150C2214yescomplemented
181#19099150C2214yescomplemented
182#19099150C2214yescomplemented
183#19099150C2214yescomplemented
184#19099149C2214yescomplemented
185#19099146C2214yes—
186#19099145C2214yescomplemented
187#19099145C2214yescomplemented
188#19099145C2214yescomplemented
189#19099145C2214yescomplemented
190#19099142C2214yescomplemented
191#19099141C2212yes—
192#19099141C2211yescharacteristic
193#19099141C2211yescharacteristic, complemented
194#19099140C2212yescomplemented
195#19099136C2212yescomplemented
196#19099136C2214yescomplemented
197#19099135C2214yescomplemented
198#19099134C2214yescomplemented
199#19099129C2212yes—
200#19099126C2214yescomplemented
201#19099121C2214yes—
202#19099119C2212yescomplemented
203#19099115C2214yescomplemented
204#19099115C2214yescomplemented
205#19099109C2212yescomplemented
206#19099109C2214yescomplemented
207#19099108C2214yescomplemented
208C2×#14579160C2212yescomplemented
209#19099099C2212yescomplemented
210#19099098C2212yescomplemented
211#19099097C2211yescharacteristic
212#19099097C2211yescharacteristic, complemented
213#19099094C2214yescomplemented
214#19099094C2214yescomplemented
215#19099094C2214yescomplemented
216#19099094C2212yescomplemented
217#19099093C2212yescomplemented
218#19099093C2212yescomplemented
219#19099093C2214yescomplemented
220#19099093C2214yescomplemented
221#19099092C2212yescomplemented
222#19099092C2212yescomplemented
223#19099092C2212yescomplemented
224#19099090C2214yescomplemented
225#19099090C2214yescomplemented
226C2×#14579156C2214yescomplemented
227C2×#14579153C2211yescharacteristic, complemented
228#124×D79C2212yes—
229#19099072C2212yes—
230#19099072C2212yescomplemented
231#19099070C2212yescomplemented
232#19099070C2212yescomplemented
233C22⋊Q8×D79C2212yescomplemented
234#121×D79C2212yescomplemented
235#19099046C2211yescharacteristic, complemented
236#19099046C2211yescharacteristic, complemented
237#19099046C2212yescomplemented
238#19099044C2212yescomplemented
239#19099039C2212yescomplemented
240#19099035C2212yescomplemented
241#41×Dic79C2212yescomplemented
242C4×#11929624C2211yescharacteristic, complemented
243C2×#14579119C2212yescomplemented
244#562×C79C2212yescomplemented
245#562×C79C2212yescomplemented
246#554×C79C2212yescomplemented
247#554×C79C2212yescomplemented
248#550×C79C2212yescomplemented
249#550×C79C2212yescomplemented
250#547×C79C2212yescomplemented
251#547×C79C2212yescomplemented
252#540×C79C2214yescomplemented
253#537×C79C2212yescomplemented
254#537×C79C2212yescomplemented
255#537×C79C2214yescomplemented
256#533×C79C2211yescharacteristic, complemented
257#532×C79C2211yescharacteristic, complemented
258#532×C79C2211yescharacteristic, complemented
259C2×#11929624C2312yes—
260C2×#11929624C2311yescharacteristic
261C2×#11929624C2314yes—
262C2×#11929623C2314yes—
263C2×#11929623C2314yes—
264C22×Dic158C2314yes—
265C2×Q8×D79C2312yes—
266C2×Q8×D79C2312yes—
267C2×D4×D79C2312yes—
268C2×D4×D79C2312yes—
269C2×D4×D79C2314yes—
270C22×C4×D79C2312yes—
271#14579160C2314yes—
272#14579160C2314yes—
273#14579160C2314yes—
274#14579160C2312yes—
275#14579160C2312yes—
276#14579160C2312yes—
277#14579160C2312yes—
278#14579160C2312yes—
279#14579160C2314yes—
280#14579160C2312yes—
281#14579160C2314yes—
282#14579159C2314yes—
283#14579159C2314yes—
284#14579159C2314yes—
285#14579159C2312yes—
286#14579157C2314yes—
287#14579157C2312yes—
288#14579156C2314yes—
289#14579156C2314yes—
290#14579156C2314yes—
291#14579156C2314yes—
292#14579156C2314yes—
293#14579156C2314yes—
294#14579156C2314yes—
295#14579156C2314yes—
296#14579156C2314yes—
297#14579156C2314yes—
298#14579156C2314yes—
299#14579156C2314yes—
300#14579156C2314yes—
301#14579156C2314yes—
302#14579156C2312yes—
303#14579156C2312yes—
304#14579156C2314yes—
305#14579155C2314yes—
306#14579155C2312yes—
307#14579155C2314yes—
308#14579155C2312yes—
309#14579154C2314yes—
310#14579154C2314yes—
311#14579154C2314yes—
312#14579154C2314yes—
313#14579154C2314yes—
314#14579154C2314yes—
315#14579154C2314yes—
316#14579154C2314yes—
317#14579154C2314yes—
318#14579154C2314yes—
319#14579154C2312yes—
320#14579154C2312yes—
321#14579154C2314yes—
322#14579153C2312yes—
323#14579153C2314yes—
324#14579153C2312yes—
325#14579153C2312yes—
326#14579153C2311yescharacteristic
327#14579153C2312yes—
328#14579153C2311yescharacteristic
329#14579152C2314yes—
330#14579152C2314yes—
331#14579152C2314yes—
332#14579152C2314yes—
333#14579152C2312yes—
334#14579152C2312yes—
335#14579151C2314yes—
336#14579151C2314yes—
337#14579151C2314yes—
338#14579151C2314yes—
339#14579151C2314yes—
340#14579151C2314yes—
341#14579151C2314yes—
342#14579151C2314yes—
343#14579151C2314yes—
344#14579151C2314yes—
345#14579151C2312yes—
346#14579151C2314yes—
347#14579151C2312yes—
348#14579150C2312yes—
349#14579150C2314yes—
350#14579150C2312yes—
351#14579150C2312yes—
352#14579149C2314yes—
353#14579149C2311yescharacteristic
354#14579149C2311yescharacteristic
355#14579148C2314yes—
356#14579148C2314yes—
357#14579148C2314yes—
358#14579148C2312yes—
359#14579148C2314yes—
360#14579148C2312yes—
361#14579148C2312yes—
362#14579148C2314yes—
363#14579148C2314yes—
364#14579147C2312yes—
365#14579147C2314yes—
366#14579147C2314yes—
367#14579147C2314yes—
368#14579147C2314yes—
369#14579147C2314yes—
370#14579147C2314yes—
371#14579147C2314yes—
372#14579147C2314yes—
373#14579147C2314yes—
374#14579147C2312yes—
375#14579147C2314yes—
376#14579147C2314yes—
377#14579146C2314yes—
378#14579146C2314yes—
379#14579146C2314yes—
380#14579146C2312yes—
381#14579146C2314yes—
382#14579146C2312yes—
383#14579146C2314yes—
384#14579145C2314yes—
385#14579145C2314yes—
386#14579145C2314yes—
387#14579145C2314yes—
388#14579145C2314yes—
389#14579145C2312yes—
390#14579145C2312yes—
391#14579144C2312yes—
392#14579144C2314yes—
393#14579144C2314yes—
394#14579144C2314yes—
395#14579144C2314yes—
396#14579144C2314yes—
397#14579144C2314yes—
398#14579144C2312yes—
399#14579143C2314yes—
400#14579143C2314yes—
401#14579143C2314yes—
402#14579143C2314yes—
403#14579143C2314yes—
404#14579143C2314yes—
405#14579143C2312yes—
406#14579143C2312yes—
407#14579143C2314yes—
408#14579142C2314yes—
409#14579142C2314yes—
410#14579142C2314yes—
411#14579142C2314yes—
412#14579142C2312yes—
413#14579142C2314yes—
414#14579142C2314yes—
415#14579142C2314yes—
416#14579142C2314yes—
417#14579142C2314yes—
418#14579142C2312yes—
419#14579142C2314yes—
420#14579142C2312yes—
421#14579142C2312yes—
422#14579141C2314yes—
423#14579141C2312yes—
424#14579141C2314yes—
425#14579141C2312yes—
426#14579141C2314yes—
427#14579140C2312yes—
428#14579140C2314yes—
429#14579140C2312yes—
430#14579140C2314yes—
431#14579140C2314yes—
432#14579140C2314yes—
433#14579140C2314yes—
434#14579140C2314yes—
435#14579140C2311yescharacteristic
436#14579140C2314yes—
437#14579140C2314yes—
438#14579140C2311yescharacteristic
439#14579139C2314yes—
440#14579139C2314yes—
441#14579139C2314yes—
442#14579139C2314yes—
443#14579139C2314yes—
444#14579139C2312yes—
445#14579139C2314yes—
446#14579139C2314yes—
447#14579139C2314yes—
448#14579139C2312yes—
449#14579139C2314yes—
450#14579138C2314yes—
451#14579138C2314yes—
452#14579138C2314yes—
453#14579138C2314yes—
454#14579138C2314yes—
455#14579138C2314yes—
456#14579138C2312yes—
457#14579138C2314yes—
458#14579138C2312yes—
459#14579138C2314yes—
460#14579138C2312yes—
461#14579138C2312yes—
462#14579137C2314yes—
463#14579137C2312yes—
464#14579137C2312yes—
465#14579137C2312yes—
466#14579137C2312yes—
467#14579137C2312yes—
468#14579137C2312yes—
469#14579137C2314yes—
470#14579137C2312yes—
471#14579137C2312yes—
472#14579136C2312yes—
473#14579136C2312yes—
474#14579135C2311yescharacteristic
475#14579135C2314yes—
476#14579135C2312yes—
477#14579135C2312yes—
478#14579135C2311yescharacteristic
479#14579135C2314yes—
480#14579134C2314yes—
481#14579134C2314yes—
482#14579134C2314yes—
483#14579134C2312yes—
484#14579134C2312yes—
485#14579133C2314yes—
486#14579133C2314yes—
487#14579133C2314yes—
488#14579133C2314yes—
489#14579133C2314yes—
490#14579133C2314yes—
491#14579133C2314yes—
492#14579133C2312yes—
493#14579133C2314yes—
494#14579133C2312yes—
495#14579133C2312yes—
496#14579133C2314yes—
497#14579133C2314yes—
498#14579133C2314yes—
499#14579133C2314yes—
500#14579133C2314yes—
501#14579133C2312yes—
502#14579133C2314yes—
503#14579133C2314yes—
504#14579133C2312yes—
505#14579133C2312yes—
506#14579133C2312yes—
507#14579133C2314yes—
508#14579133C2312yes—
509#14579132C2312yes—
510#14579132C2312yes—
511#14579132C2312yes—
512#14579132C2312yes—
513#14579132C2312yes—
514#14579132C2314yes—
515#14579132C2314yes—
516#14579132C2312yes—
517#14579132C2314yes—
518#14579132C2312yes—
519#14579132C2312yes—
520#14579131C2314yes—
521#14579131C2312yes—
522#14579131C2312yes—
523#14579129C2314yes—
524#14579129C2312yes—
525#14579129C2314yes—
526#14579129C2314yes—
527#14579129C2314yes—
528#14579129C2314yes—
529#14579129C2314yes—
530#14579129C2312yes—
531#14579129C2312yes—
532#14579129C2312yes—
533Q8×Dic79C2312yes—
534Q8×Dic79C2312yes—
535Q8×Dic79C2312yes—
536Q8×Dic79C2312yes—
537Q8×Dic79C2312yes—
538Q8×Dic79C2312yes—
539C4×Dic158C2314yes—
540C4×Dic158C2314yes—
541C4×Dic158C2311yescharacteristic
542C4×Dic158C2311yescharacteristic
543C4×Dic158C2311yescharacteristic
544C4×Dic158C2311yescharacteristic
545#14579126C2314yes—
546#14579126C2314yes—
547#14579126C2314yes—
548#14579126C2312yes—
549#14579126C2312yes—
550#14579126C2314yes—
551#14579126C2314yes—
552C4×D316C2311yescharacteristic
553C4×D316C2311yescharacteristic
554C4×D316C2311yescharacteristic
555C4×D316C2311yescharacteristic
556D4×Dic79C2314yes—
557D4×Dic79C2312yes—
558D4×Dic79C2314yes—
559D4×Dic79C2314yes—
560D4×Dic79C2314yes—
561D4×Dic79C2314yes—
562D4×Dic79C2314yes—
563D4×Dic79C2312yes—
564D4×Dic79C2314yes—
565D4×Dic79C2312yes—
566D4×Dic79C2312yes—
567D4×Dic79C2314yes—
568D4×Dic79C2312yes—
569D4×Dic79C2314yes—
570D4×Dic79C2312yes—
571#14579123C2312yes—
572#14579123C2314yes—
573#14579123C2314yes—
574#14579123C2312yes—
575C4×C22⋊D79C2312yes—
576C4×C22⋊D79C2314yes—
577C4×C22⋊D79C2314yes—
578C4×C22⋊D79C2314yes—
579C4×C22⋊D79C2314yes—
580C4×C22⋊D79C2314yes—
581C4×C22⋊D79C2314yes—
582C4×C22⋊D79C2314yes—
583C4×C22⋊D79C2314yes—
584C4×C22⋊D79C2314yes—
585C4×C22⋊D79C2312yes—
586C4×C22⋊D79C2314yes—
587C4×C22⋊D79C2312yes—
588C4×C22⋊D79C2312yes—
589C4×C22⋊D79C2312yes—
590C4×C22⋊D79C2312yes—
591C4×C22⋊D79C2312yes—
592C4×C22⋊D79C2312yes—
593(C22⋊D79)⋊C4C2314yes—
594(C22⋊D79)⋊C4C2314yes—
595(C22⋊D79)⋊C4C2314yes—
596(C22⋊D79)⋊C4C2314yes—
597(C22⋊D79)⋊C4C2314yes—
598(C22⋊D79)⋊C4C2314yes—
599#14579120C2314yes—
600#14579120C2312yes—
601#14579120C2314yes—
602#14579120C2314yes—
603#14579120C2312yes—
604#14579120C2312yes—
605#14579120C2311yescharacteristic
606#14579119C2314yes—
607#14579119C2312yes—
608#14579119C2314yes—
609#14579119C2314yes—
610#14579119C2314yes—
611#14579119C2312yes—
612#14579119C2312yes—
613#14579119C2312yes—
614#14579119C2312yes—
615#14579119C2312yes—
616#14579118C2312yes—
617#14579118C2312yes—
618#14579118C2314yes—
619#14579118C2314yes—
620#14579118C2312yes—
621#14579117C2314yes—
622#14579117C2314yes—
623#14579117C2314yes—
624#14579117C2314yes—
625#14579117C2314yes—
626#14579117C2314yes—
627#14579117C2314yes—
628#14579117C2314yes—
629C2×C4⋊Dic79C2311yescharacteristic
630C2×C4⋊Dic79C2312yes—
631C2×C4⋊Dic79C2311yescharacteristic
632C2×C4⋊Dic79C2314yes—
633C2×C4⋊Dic79C2312yes—
634C2×Dic79⋊C4C2312yes—
635C2×Dic79⋊C4C2314yes—
636C2×Dic79⋊C4C2314yes—
637C2×Dic79⋊C4C2312yes—
638C4⋊C4×D79C2314yes—
639C4⋊C4×D79C2312yes—
640C4⋊C4×D79C2312yes—
641C2×(C2×D79)⋊C4C2314yes—
642C2×(C2×D79)⋊C4C2314yes—
643C2×(C2×D79)⋊C4C2314yes—
644C2×(C2×D79)⋊C4C2314yes—
645C22⋊C4×D79C2314yes—
646C22⋊C4×D79C2314yes—
647C22⋊C4×D79C2314yes—
648C22⋊C4×D79C2314yes—
649C2×C4×Dic79C2314yes—
650C2×C4×Dic79C2314yes—
651C2×C4×Dic79C2312yes—
652C42×D79C2312yes—
653C2×#41×C79C2312yes—
654C2×#41×C79C2311yescharacteristic
655C2×#41×C79C2311yescharacteristic
656C2×#41×C79C2312yes—
657C2×#41×C79C2312yes—
658C2×#41×C79C2314yes—
659C4⋊Q8×C79C2311yescharacteristic
660C4⋊Q8×C79C2311yescharacteristic
661C4⋊Q8×C79C2311yescharacteristic
662C4⋊Q8×C79C2311yescharacteristic
663#127×C79C2311yescharacteristic
664#127×C79C2311yescharacteristic
665#127×C79C2314yes—
666#125×C79C2314yes—
667#125×C79C2312yes—
668#124×C79C2311yescharacteristic
669#124×C79C2311yescharacteristic
670#124×C79C2312yes—
671#123×C79C2314yes—
672#123×C79C2314yes—
673#123×C79C2314yes—
674#123×C79C2314yes—
675C22⋊Q8×C79C2314yes—
676C22⋊Q8×C79C2312yes—
677C22⋊Q8×C79C2314yes—
678C22⋊Q8×C79C2312yes—
679C22⋊Q8×C79C2314yes—
680C22⋊Q8×C79C2314yes—
681C22⋊Q8×C79C2314yes—
682C22⋊Q8×C79C2312yes—
683C22⋊Q8×C79C2312yes—
684#121×C79C2312yes—
685#121×C79C2314yes—
686#121×C79C2314yes—
687#121×C79C2314yes—
688#121×C79C2314yes—
689#121×C79C2314yes—
690#121×C79C2314yes—
691#121×C79C2312yes—
692#121×C79C2314yes—
693#121×C79C2312yes—
694#121×C79C2312yes—
695#121×C79C2314yes—
696#121×C79C2312yes—
697#121×C79C2312yes—
698#121×C79C2314yes—
699C4×Q8×C79C2312yes—
700C4×Q8×C79C2312yes—
701C4×D4×C79C2314yes—
702C4×D4×C79C2312yes—
703C4×D4×C79C2314yes—
704C4×D4×C79C2312yes—
705C4×D4×C79C2312yes—
706C4×D4×C79C2312yes—
707#117×C79C2312yes—
708C2×C4⋊C4×C79C2314yes—
709C2×C4⋊C4×C79C2312yes—
710C2×C4⋊C4×C79C2312yes—
711C2×C42×C79C2311yescharacteristic
712C23×D79C2414yes—
713C23×D79C2412yes—
714#11929624—42no—
715#11929624—44no—
716#11929624—84no—
717#11929623—84no—
718#11929623—84no—
719C2×Dic158—84no—
720C2×Dic158C2411yescharacteristic
721C2×Dic158C2411yescharacteristic
722C2×Dic158C2414yes—
723C2×Dic158C2414yes—
724C2×Dic158C2414yes—
725C2×Dic158C2414yes—
726C2×Dic158C2414yes—
727C2×Dic158C2412yes—
728C2×Dic158C2411yescharacteristic
729Q8×D79—44no—
730Q8×D79—82no—
731C2×D316C2411yescharacteristic
732C2×D316C2412yes—
733C2×D316C2414yes—
734C2×D316C2411yescharacteristic
735C2×D316C2411yescharacteristic
736C2×C22⋊D79C2412yes—
737C2×C22⋊D79C2412yes—
738C2×C22⋊D79C2414yes—
739C2×C22⋊D79C2414yes—
740C2×C22⋊D79C2412yes—
741C2×C22⋊D79C2414yes—
742C2×C22⋊D79C2412yes—
743C2×C22⋊D79C2412yes—
744C2×C22⋊D79C2412yes—
745C2×C22⋊D79C2412yes—
746C2×C22⋊D79C2414yes—
747C2×C22⋊D79C2412yes—
748C2×C22⋊D79C2414yes—
749C2×C22⋊D79C2412yes—
750C2×C22⋊D79C2414yes—
751D4×D79—44no—
752D4×D79—82no—
753D4×D79—84no—
754C22×Dic79C2412yes—
755C22×Dic79C2414yes—
756C22×Dic79C2414yes—
757C22×Dic79C2412yes—
758C22×Dic79C2412yes—
759C22×Dic79C2414yes—
760C22×Dic79C2414yes—
761C22×Dic79C2412yes—
762C22×Dic79C2414yes—
763C22×Dic79C2412yes—
764C2×C4×D79—44no—
765C2×C4×D79C2412yes—
766C2×C4×D79C2412yes—
767C2×C4×D79C2414yes—
768C2×C4×D79C2412yes—
769C2×C4×D79C2414yes—
770C2×C4×D79C2414yes—
771C2×C4×D79C2414yes—
772C2×C4×D79C2412yes—
773C2×C4×D79C2412yes—
774C2×C4×D79C2412yes—
775C2×C4×D79C2412yes—
776C4⋊Dic79C2412yes—
777C4⋊Dic79C2414yes—
778C4⋊Dic79C2411yescharacteristic
779C4⋊Dic79C2412yes—
780C4⋊Dic79C2414yes—
781C4⋊Dic79C2411yescharacteristic
782C4⋊Dic79C2412yes—
783C4⋊Dic79C2414yes—
784C4⋊Dic79C2412yes—
785C4⋊Dic79C2412yes—
786C4⋊Dic79C2414yes—
787C4⋊Dic79C2414yes—
788C4⋊Dic79C2411yescharacteristic
789C4⋊Dic79C2411yescharacteristic
790C4⋊Dic79C2414yes—
791C4⋊Dic79C2412yes—
792C4⋊Dic79C2414yes—
793C4⋊Dic79C2411yescharacteristic
794C4⋊Dic79C2414yes—
795C4⋊Dic79C2411yescharacteristic
796Dic79⋊C4C2414yes—
797Dic79⋊C4C2414yes—
798Dic79⋊C4C2414yes—
799Dic79⋊C4C2414yes—
800Dic79⋊C4C2414yes—
801Dic79⋊C4C2414yes—
802Dic79⋊C4C2412yes—
803Dic79⋊C4C2414yes—
804Dic79⋊C4C2414yes—
805Dic79⋊C4C2414yes—
806Dic79⋊C4C2414yes—
807Dic79⋊C4C2414yes—
808Dic79⋊C4C2414yes—
809Dic79⋊C4C2414yes—
810Dic79⋊C4C2414yes—
811Dic79⋊C4C2412yes—
812Dic79⋊C4C2414yes—
813Dic79⋊C4C2412yes—
814Dic79⋊C4C2414yes—
815Dic79⋊C4C2412yes—
816Dic79⋊C4C2412yes—
817Dic79⋊C4C2412yes—
818Dic79⋊C4C2412yes—
819Dic79⋊C4C2412yes—
820Dic79⋊C4C2412yes—
821Dic79⋊C4C2414yes—
822Dic79⋊C4C2412yes—
823Dic79⋊C4C2412yes—
824Dic79⋊C4C2414yes—
825Dic79⋊C4C2412yes—
826Dic79⋊C4C2412yes—
827Dic79⋊C4C2412yes—
828C22⋊Dic79C2414yes—
829C22⋊Dic79C2414yes—
830C22⋊Dic79C2414yes—
831C22⋊Dic79C2414yes—
832C22⋊Dic79C2414yes—
833C22⋊Dic79C2412yes—
834C22⋊Dic79C2412yes—
835C22⋊Dic79C2414yes—
836C22⋊Dic79C2412yes—
837C22⋊Dic79C2414yes—
838C22⋊Dic79C2412yes—
839C22⋊Dic79C2414yes—
840C22⋊Dic79C2412yes—
841C22⋊Dic79C2414yes—
842C22⋊Dic79C2414yes—
843C22⋊Dic79C2412yes—
844C22⋊Dic79C2412yes—
845C22⋊Dic79C2412yes—
846C22⋊Dic79C2414yes—
847C22⋊Dic79C2414yes—
848C22⋊Dic79C2412yes—
849(C2×D79)⋊C4C2412yes—
850(C2×D79)⋊C4C2412yes—
851(C2×D79)⋊C4C2414yes—
852(C2×D79)⋊C4C2414yes—
853(C2×D79)⋊C4C2414yes—
854(C2×D79)⋊C4C2414yes—
855(C2×D79)⋊C4C2414yes—
856(C2×D79)⋊C4C2412yes—
857(C2×D79)⋊C4C2412yes—
858(C2×D79)⋊C4C2412yes—
859(C2×D79)⋊C4C2412yes—
860(C2×D79)⋊C4C2414yes—
861(C2×D79)⋊C4C2414yes—
862(C2×D79)⋊C4C2414yes—
863(C2×D79)⋊C4C2414yes—
864(C2×D79)⋊C4C2414yes—
865(C2×D79)⋊C4C2414yes—
866(C2×D79)⋊C4C2414yes—
867(C2×D79)⋊C4C2414yes—
868(C2×D79)⋊C4C2412yes—
869(C2×D79)⋊C4C2412yes—
870(C2×D79)⋊C4C2412yes—
871(C2×D79)⋊C4C2412yes—
872(C2×D79)⋊C4C2414yes—
873(C2×D79)⋊C4C2412yes—
874(C2×D79)⋊C4C2412yes—
875(C2×D79)⋊C4C2412yes—
876(C2×D79)⋊C4C2412yes—
877C4×Dic79C2412yes—
878C4×Dic79C2412yes—
879C4×Dic79C2412yes—
880C4×Dic79C2412yes—
881C4×Dic79C2414yes—
882C4×Dic79C2412yes—
883C4×Dic79C2414yes—
884C4×Dic79C2414yes—
885C4×Dic79C2414yes—
886C4×Dic79C2414yes—
887C4×Dic79C2412yes—
888C4×Dic79C2412yes—
889C4×Dic79C2414yes—
890C4×Dic79C2414yes—
891C4×Dic79C2414yes—
892C4×Dic79C2414yes—
893C4×Dic79C2414yes—
894#41×C79—42no—
895#41×C79—42no—
896#41×C79—44no—
897#41×C79—44no—
898#41×C79—84no—
899#41×C79—82no—
900C2×Q8×C79C2412yes—
901C2×Q8×C79C2412yes—
902C2×Q8×C79C2412yes—
903C2×Q8×C79C2411yescharacteristic
904C2×Q8×C79C2411yescharacteristic
905C2×D4×C79C2412yes—
906C2×D4×C79C2414yes—
907C2×D4×C79C2414yes—
908C2×D4×C79C2412yes—
909C2×D4×C79C2412yes—
910C2×D4×C79C2412yes—
911C2×D4×C79C2412yes—
912C2×D4×C79C2412yes—
913C2×D4×C79C2414yes—
914C2×D4×C79C2414yes—
915C2×D4×C79C2414yes—
916C2×D4×C79C2411yescharacteristic
917C2×D4×C79C2411yescharacteristic
918C2×D4×C79C2412yes—
919C22×C4×C79C2411yescharacteristic
920C22×C4×C79C2412yes—
921C22×C4×C79C2412yes—
922C22×C4×C79C2414yes—
923C22×C4×C79C2414yes—
924C22×C4×C79C2411yescharacteristic
925C22×C4×C79C2411yescharacteristic
926C22×C4×C79C2414yes—
927C22×C4×C79C2414yes—
928C22×C4×C79C2414yes—
929C4⋊C4×C79C2412yes—
930C4⋊C4×C79C2412yes—
931C4⋊C4×C79C2412yes—
932C4⋊C4×C79C2412yes—
933C4⋊C4×C79C2414yes—
934C4⋊C4×C79C2414yes—
935C4⋊C4×C79C2414yes—
936C4⋊C4×C79C2414yes—
937C4⋊C4×C79C2412yes—
938C4⋊C4×C79C2412yes—
939C4⋊C4×C79C2412yes—
940C4⋊C4×C79C2412yes—
941C4⋊C4×C79C2414yes—
942C4⋊C4×C79C2414yes—
943C22⋊C4×C79C2414yes—
944C22⋊C4×C79C2414yes—
945C22⋊C4×C79C2414yes—
946C22⋊C4×C79C2414yes—
947C22⋊C4×C79C2414yes—
948C22⋊C4×C79C2414yes—
949C22⋊C4×C79C2412yes—
950C22⋊C4×C79C2412yes—
951C22⋊C4×C79C2414yes—
952C22⋊C4×C79C2412yes—
953C22⋊C4×C79C2412yes—
954C42×C79C2411yescharacteristic
955C42×C79C2411yescharacteristic
956C42×C79C2411yescharacteristic
957C42×C79C2411yescharacteristic
958C42×C79C2414yes—
959C23×C79C2514yes—
960C23×C79C2512yes—
961C23×C79C2511yescharacteristic
962C23×C79C2512yes—
963C22×D79—42no—
964C22×D79—42no—
965C22×D79—42no—
966C22×D79—44no—
967C22×D79—44no—
968C22×D79—44no—
969C22×D79C2512yes—
970C22×D79C2512yes—
971C22×D79C2512yes—
972Q8×C79—24no—
973Q8×C79—42no—
974Q8×C79—41no—
975Q8×C79—41no—
976Q8×C79—42no—
977D4×C79—24no—
978D4×C79—44no—
979D4×C79—42no—
980D4×C79—44no—
981D4×C79—44no—
982D4×C79—42no—
983D4×C79—42no—
984D4×C79—42no—
985D4×C79—42no—
986D4×C79—41no—
987D4×C79—41no—
988D4×C79—44no—
989D4×C79—44no—
990D4×C79—42no—
991C2×C4×C79—24no—
992C2×C4×C79—24no—
993C2×C4×C79—22no—
994C2×C4×C79—44no—
995C2×C4×C79—44no—
996C2×C4×C79—41no—
997C2×C4×C79—44no—
998C2×C4×C79—44no—
999C2×C4×C79—44no—
1000C2×C4×C79—41no—
1001C2×C4×C79C2512yes—
1002C2×C4×C79C2514yes—
1003C2×C4×C79C2514yes—
1004C2×C4×C79C2511yescharacteristic
1005C2×C4×C79C2512yes—
1006C2×C4×C79C2514yes—
1007C2×C4×C79C2511yescharacteristic
1008C2×C4×C79C2511yescharacteristic
1009C2×C4×C79C2511yescharacteristic
1010C2×C4×C79C2511yescharacteristic
1011C2×C4×C79C2511yescharacteristic
1012C22⋊D79—44no—
1013C22⋊D79—44no—
1014C22⋊D79—44no—
1015C22⋊D79—44no—
1016C22⋊D79—42no—
1017C22⋊D79—44no—
1018C22⋊D79—42no—
1019C22⋊D79—44no—
1020C22⋊D79—42no—
1021C22⋊D79—42no—
1022C22⋊D79—42no—
1023C22⋊D79—42no—
1024C22⋊D79—42no—
1025C22⋊D79—42no—
1026C22⋊D79—42no—
1027C2×Dic79—42no—
1028C2×Dic79—42no—
1029C2×Dic79—42no—
1030C2×Dic79—44no—
1031C2×Dic79—44no—
1032C2×Dic79—44no—
1033C2×Dic79—42no—
1034C2×Dic79—44no—
1035C2×Dic79—44no—
1036C2×Dic79—42no—
1037C2×Dic79C2512yes—
1038C2×Dic79C2512yes—
1039C2×Dic79C2512yes—
1040C2×Dic79C2514yes—
1041C2×Dic79C2512yes—
1042C2×Dic79C2512yes—
1043C2×Dic79C2512yes—
1044C2×Dic79C2512yes—
1045C2×Dic79C2512yes—
1046C2×Dic79C2512yes—
1047C2×Dic79C2514yes—
1048D316—22no—
1049D316—41no—
1050D316—44no—
1051D316—41no—
1052D316—42no—
1053C4×D79—24no—
1054C4×D79—24no—
1055C4×D79—42no—
1056C4×D79—42no—
1057C4×D79—42no—
1058C4×D79—42no—
1059C4×D79—44no—
1060C4×D79—44no—
1061C4×D79—44no—
1062C4×D79—44no—
1063C4×D79—42no—
1064Dic158—22no—
1065Dic158—44no—
1066Dic158—41no—
1067Dic158—44no—
1068Dic158—44no—
1069Dic158—44no—
1070Dic158—44no—
1071Dic158—41no—
1072Dic158—42no—
1073C22×C79—21no—
1074C22×C79—22no—
1075C22×C79—24no—
1076C22×C79—22no—
1077C22×C79—22no—
1078C22×C79—24no—
1079C22×C79—21no—
1080C22×C79—22no—
1081C22×C79—22no—
1082C22×C79—21no—
1083C22×C79—22no—
1084C22×C79—24no—
1085C22×C79C2611yescharacteristic
1086C2×D79—22no—
1087C2×D79—22no—
1088C2×D79—22no—
1089C2×D79—22no—
1090C2×D79—22no—
1091C2×D79—22no—
1092C2×D79—22no—
1093C2×D79—22no—
1094C2×D79—22no—
1095C2×D79—84no—
1096C2×D79—164no—
1097C4×C79—22no—
1098C4×C79—22no—
1099C4×C79—21no—
1100C4×C79—24no—
1101C4×C79—21no—
1102C4×C79—24no—
1103C4×C79—24no—
1104C4×C79—21no—
1105C4×C79—21no—
1106C4×C79—21no—
1107C4×C79#58512yes—
1108Dic79—22no—
1109Dic79—22no—
1110Dic79—22no—
1111Dic79—22no—
1112Dic79—22no—
1113Dic79—24no—
1114Dic79—22no—
1115Dic79—22no—
1116Dic79—24no—
1117Dic79—22no—
1118Dic79—22no—
1119#63065—791nomaximal, Sylow
1120C2×C79—42no—
1121C2×C79—44no—
1122C2×C79—41no—
1123C2×C79—42no—
1124C2×C79C2×#58511yescharacteristic
1125C2×C79H(7,𝔽2)11yescharacteristic
1126C2×C792−1+611yescharacteristic
1127D79—42no—
1128D79—42no—
1129D79—42no—
1130#3567—792no—
1131#3566—794no—
1132#3564—794no—
1133#3563—791no—
1134#3562—794no—
1135#3561—792no—
1136#3560—794no—
1137#3559—791no—
1138#3552—792no—
1139#3551—794no—
1140#3551—792no—
1141#3548D7911yescharacteristic, complemented
1142#3547—794no—
1143#3545—792no—
1144#3544—792no—
1145#3542—792no—
1146#3541—792no—
1147#3536—792no—
1148#3531—792no—
1149#3529—791no—
1150#3524—792no—
1151#3521—792no—
1152#3518—791no—
1153#3514—791no—
1154#3512—791no—
1155#3511—792no—
1156#3495—792no—
1157#3494—792no—
1158#3493—792no—
1159C79#6306511yescharacteristic, complemented, Sylow
1160#564—792no—
1161#563—792no—
1162#563—792no—
1163#563—794no—
1164#563—791no—
1165#563—792no—
1166#563—794no—
1167#563—794no—
1168#563—794no—
1169#563—794no—
1170#563—794no—
1171#562—791no—
1172#562—791no—
1173#562—792no—
1174#562—792no—
1175#562—792no—
1176#562—794no—
1177#562—794no—
1178#562—794no—
1179#562—794no—
1180#562C2×D7912yescomplemented
1181#562C2×D7912yescomplemented
1182H(3,𝔽4)—791no—
1183#560—794no—
1184#560—792no—
1185#560—792no—
1186#560—792no—
1187#560—794no—
1188#559—791no—
1189#559—794no—
1190Q82—791no—
1191#557—792no—
1192#556—791no—
1193#556—791no—
1194#556—792no—
1195#556—792no—
1196#556—794no—
1197#556—792no—
1198#556—794no—
1199#556—792no—
1200#555—791no—
1201#555—792no—
1202#555—792no—
1203#555—794no—
1204#555—792no—
1205#555—794no—
1206#555—794no—
1207#555—792no—
1208#554—792no—
1209#554—792no—
1210#554—792no—
1211#554—792no—
1212#554—794no—
1213#554C2×D7912yescomplemented
1214#554C2×D7912yescomplemented
1215#553—794no—
1216#553—794no—
1217#553—794no—
1218#553—794no—
1219#553—794no—
1220#553—794no—
1221#553—792no—
1222#553—792no—
1223#553—794no—
1224#553—794no—
1225#553—792no—
1226#553—792no—
1227#553—792no—
1228#553—792no—
1229#552—794no—
1230#552—794no—
1231#552—794no—
1232#552—792no—
1233#552—792no—
1234#552—794no—
1235#552—792no—
1236#552—792no—
1237#552—792no—
1238#552—794no—
1239#552—794no—
1240#552—792no—
1241#552—794no—
1242#551—794no—
1243#551—794no—
1244#551—794no—
1245#551—794no—
1246#551—794no—
1247#551—794no—
1248#551—794no—
1249#551—794no—
1250#551—794no—
1251#550C2×D7912yescomplemented
1252#550C2×D7912yescomplemented
1253D4×Q8—791no—
1254D4×Q8—791no—
1255D4×Q8—794no—
1256#548—792no—
1257#548—792no—
1258#548—792no—
1259#548—792no—
1260#548—794no—
1261#548—794no—
1262#548—794no—
1263#547—794no—
1264#547—794no—
1265#547—792no—
1266#547—792no—
1267#547—792no—
1268#547C2×D7912yescomplemented
1269#547C2×D7912yescomplemented
1270#546—792no—
1271#546—792no—
1272#546—794no—
1273#546—792no—
1274#546—794no—
1275#546—794no—
1276#546—794no—
1277#546—792no—
1278#546—794no—
1279D42—791no—
1280#544—792no—
1281#544—792no—
1282#544—794no—
1283#544—792no—
1284#544—792no—
1285#543—794no—
1286#542—794no—
1287#542—794no—
1288#542—794no—
1289#542—794no—
1290#542—794no—
1291#542—794no—
1292#542—792no—
1293#542—794no—
1294#542—792no—
1295#542—794no—
1296#542—792no—
1297#542—792no—
1298#541—792no—
1299#541—792no—
1300#541—794no—
1301#541—794no—
1302#541—794no—
1303#540—792no—
1304#540—792no—
1305#540—794no—
1306#540—794no—
1307#540—794no—
1308#540—794no—
1309#540—794no—
1310#540C2×D7914yescomplemented
1311#539—794no—
1312#539—794no—
1313#539—792no—
1314#539—794no—
1315#539—792no—
1316#539—794no—
1317#539—794no—
1318#539—794no—
1319#538—794no—
1320#538—794no—
1321#538—794no—
1322#538—794no—
1323#538—794no—
1324#538—794no—
1325#538—794no—
1326#538—794no—
1327#538—794no—
1328#538—794no—
1329#537—792no—
1330#537—791no—
1331#537—791no—
1332#537—792no—
1333#537—794no—
1334#537C2×D7912yescomplemented
1335#537C2×D7912yescomplemented
1336#537C2×D7914yescomplemented
1337#536—794no—
1338#536—794no—
1339#536—792no—
1340#536—794no—
1341#535—794no—
1342#535—792no—
1343#534—794no—
1344#533—792no—
1345#533—794no—
1346#533—794no—
1347#533C2×D7911yescharacteristic, complemented
1348#532—794no—
1349#532—792no—
1350#532—794no—
1351#532C2×D7911yescharacteristic, complemented
1352#532C2×D7911yescharacteristic, complemented
1353C2×C4⋊Q8—792no—
1354#529—792no—
1355#529—792no—
1356#529—792no—
1357#529—792no—
1358#529—794no—
1359#529—794no—
1360#529—792no—
1361#529—794no—
1362#529—794no—
1363#529—794no—
1364#529—792no—
1365#529—794no—
1366#529—792no—
1367#529—792no—
1368#529—794no—
1369#529—791no—
1370#529—791no—
1371C2×#126—794no—
1372C2×#125—791no—
1373C2×#124—792no—
1374#525—792no—
1375#525—792no—
1376#525—792no—
1377#525—792no—
1378C2×C22⋊Q8—792no—
1379C2×#121—792no—
1380#520—791no—
1381#520—792no—
1382#520—791no—
1383#520—792no—
1384#519—792no—
1385#518—792no—
1386C4×#41—792no—
1387C4×#41—791no—
1388C2×#117—792no—
1389C2×#41—794no—
1390C2×#41—794no—
1391C2×#41—791no—
1392C2×#41—792no—
1393C2×#41—794no—
1394C2×#41C22×D7912yes—
1395C2×#41C22×D7911yescharacteristic
1396C2×#41C22×D7912yes—
1397C2×#41C22×D7911yescharacteristic
1398C2×#41C22×D7914yes—
1399C2×#41C22×D7912yes—
1400C22×Q8—792no—
1401C22×Q8—792no—
1402C22×Q8—794no—
1403C22×D4—792no—
1404C22×D4—794no—
1405C22×D4—792no—
1406C23×C4—792no—
1407C4⋊Q8—792no—
1408C4⋊Q8—794no—
1409C4⋊Q8—794no—
1410C4⋊Q8—794no—
1411C4⋊Q8—794no—
1412C4⋊Q8—794no—
1413C4⋊Q8—792no—
1414C4⋊Q8—792no—
1415C4⋊Q8—792no—
1416C4⋊Q8—792no—
1417C4⋊Q8—792no—
1418C4⋊Q8—794no—
1419C4⋊Q8—792no—
1420C4⋊Q8—794no—
1421C4⋊Q8—794no—
1422C4⋊Q8C22×D7911yescharacteristic
1423C4⋊Q8C22×D7911yescharacteristic
1424C4⋊Q8C22×D7911yescharacteristic
1425C4⋊Q8C22×D7911yescharacteristic
1426#127—792no—
1427#127—794no—
1428#127C22×D7911yescharacteristic
1429#127C22×D7911yescharacteristic
1430#127C22×D7914yes—
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—792no—
1440#126—794no—
1441#126—794no—
1442#126—794no—
1443#126—794no—
1444#126—794no—
1445#126—794no—
1446#126—794no—
1447#126—794no—
1448#126—792no—
1449#126—792no—
1450#126—794no—
1451#126—794no—
1452#126—794no—
1453#126—794no—
1454#126—794no—
1455#126—794no—
1456#126—794no—
1457#126—794no—
1458#126—794no—
1459#126—794no—
1460#126—794no—
1461#126—792no—
1462#126—792no—
1463#126—794no—
1464#126—794no—
1465#125—794no—
1466#125—794no—
1467#125—794no—
1468#125—794no—
1469#125—794no—
1470#125—794no—
1471#125—794no—
1472#125—792no—
1473#125—792no—
1474#125—792no—
1475#125—792no—
1476#125—794no—
1477#125—794no—
1478#125—794no—
1479#125—794no—
1480#125—794no—
1481#125—794no—
1482#125—794no—
1483#125—794no—
1484#125—792no—
1485#125—792no—
1486#125—792no—
1487#125—792no—
1488#125—791no—
1489#125—791no—
1490#125—794no—
1491#125C22×D7912yes—
1492#125C22×D7914yes—
1493#124—792no—
1494#124—792no—
1495#124—794no—
1496#124—792no—
1497#124—792no—
1498#124—794no—
1499#124—794no—
1500#124—794no—
1501#124—792no—
1502#124—794no—
1503#124—792no—
1504#124—794no—
1505#124—794no—
1506#124—794no—
1507#124—794no—
1508#124—794no—
1509#124—792no—
1510#124—794no—
1511#124—794no—
1512#124—794no—
1513#124—792no—
1514#124—794no—
1515#124—794no—
1516#124—794no—
1517#124—794no—
1518#124—794no—
1519#124—791no—
1520#124—791no—
1521#124—794no—
1522#124C22×D7912yes—
1523#124C22×D7911yescharacteristic
1524#124C22×D7911yescharacteristic
1525#123—792no—
1526#123—794no—
1527#123—792no—
1528#123—794no—
1529#123—792no—
1530#123—794no—
1531#123—792no—
1532#123—794no—
1533#123—794no—
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—792no—
1543#123—794no—
1544#123—794no—
1545#123—794no—
1546#123—794no—
1547#123—792no—
1548#123—792no—
1549#123—794no—
1550#123—794no—
1551#123—794no—
1552#123—794no—
1553#123—794no—
1554#123—792no—
1555#123—792no—
1556#123—794no—
1557#123—792no—
1558#123—794no—
1559#123—794no—
1560#123—794no—
1561#123—792no—
1562#123—794no—
1563#123—794no—
1564#123—794no—
1565#123—794no—
1566#123—794no—
1567#123—794no—
1568#123—794no—
1569#123—794no—
1570#123C22×D7914yes—
1571#123C22×D7914yes—
1572#123C22×D7914yes—
1573#123C22×D7914yes—
1574C22⋊Q8—792no—
1575C22⋊Q8—792no—
1576C22⋊Q8—792no—
1577C22⋊Q8—792no—
1578C22⋊Q8—792no—
1579C22⋊Q8—792no—
1580C22⋊Q8—792no—
1581C22⋊Q8—792no—
1582C22⋊Q8—794no—
1583C22⋊Q8—794no—
1584C22⋊Q8—792no—
1585C22⋊Q8—794no—
1586C22⋊Q8—792no—
1587C22⋊Q8—794no—
1588C22⋊Q8—794no—
1589C22⋊Q8—791no—
1590C22⋊Q8—791no—
1591C22⋊Q8—794no—
1592C22⋊Q8—794no—
1593C22⋊Q8—794no—
1594C22⋊Q8—794no—
1595C22⋊Q8—794no—
1596C22⋊Q8—792no—
1597C22⋊Q8—794no—
1598C22⋊Q8—792no—
1599C22⋊Q8—792no—
1600C22⋊Q8—792no—
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—792no—
1614C22⋊Q8—792no—
1615C22⋊Q8—794no—
1616C22⋊Q8—794no—
1617C22⋊Q8—792no—
1618C22⋊Q8—792no—
1619C22⋊Q8—794no—
1620C22⋊Q8—794no—
1621C22⋊Q8—794no—
1622C22⋊Q8—794no—
1623C22⋊Q8—794no—
1624C22⋊Q8C22×D7912yes—
1625C22⋊Q8C22×D7912yes—
1626C22⋊Q8C22×D7914yes—
1627C22⋊Q8C22×D7914yes—
1628C22⋊Q8C22×D7912yes—
1629C22⋊Q8C22×D7912yes—
1630C22⋊Q8C22×D7914yes—
1631C22⋊Q8C22×D7914yes—
1632C22⋊Q8C22×D7914yes—
1633#121—794no—
1634#121—792no—
1635#121—792no—
1636#121—792no—
1637#121—792no—
1638#121—792no—
1639#121—792no—
1640#121—792no—
1641#121—794no—
1642#121—794no—
1643#121—792no—
1644#121—792no—
1645#121—792no—
1646#121—792no—
1647#121—792no—
1648#121—794no—
1649#121—792no—
1650#121—792no—
1651#121—794no—
1652#121—794no—
1653#121—794no—
1654#121—792no—
1655#121—792no—
1656#121—794no—
1657#121—794no—
1658#121—794no—
1659#121—794no—
1660#121—794no—
1661#121—794no—
1662#121—794no—
1663#121—794no—
1664#121—794no—
1665#121—794no—
1666#121—794no—
1667#121—794no—
1668#121—792no—
1669#121—792no—
1670#121—791no—
1671#121—791no—
1672#121—794no—
1673#121—794no—
1674#121—792no—
1675#121—792no—
1676#121—794no—
1677#121—792no—
1678#121—792no—
1679#121—794no—
1680#121—794no—
1681#121C22×D7912yes—
1682#121C22×D7914yes—
1683#121C22×D7912yes—
1684#121C22×D7914yes—
1685#121C22×D7914yes—
1686#121C22×D7914yes—
1687#121C22×D7912yes—
1688#121C22×D7912yes—
1689#121C22×D7912yes—
1690#121C22×D7912yes—
1691#121C22×D7914yes—
1692#121C22×D7914yes—
1693#121C22×D7914yes—
1694#121C22×D7914yes—
1695#121C22×D7914yes—
1696#120—794no—
1697#120—792no—
1698#120—792no—
1699#120—792no—
1700#120—792no—
1701#120—794no—
1702#120—794no—
1703#120—794no—
1704#120—794no—
1705#120—794no—
1706#120—792no—
1707#120—792no—
1708#120—794no—
1709C4×Q8—792no—
1710C4×Q8—792no—
1711C4×Q8—792no—
1712C4×Q8—792no—
1713C4×Q8—792no—
1714C4×Q8—792no—
1715C4×Q8—794no—
1716C4×Q8—792no—
1717C4×Q8—794no—
1718C4×Q8—794no—
1719C4×Q8—794no—
1720C4×Q8—794no—
1721C4×Q8—792no—
1722C4×Q8—791no—
1723C4×Q8—791no—
1724C4×Q8—794no—
1725C4×Q8—791no—
1726C4×Q8—791no—
1727C4×Q8—794no—
1728C4×Q8C22×D7912yes—
1729C4×Q8C22×D7912yes—
1730C4×D4—792no—
1731C4×D4—794no—
1732C4×D4—792no—
1733C4×D4—794no—
1734C4×D4—792no—
1735C4×D4—794no—
1736C4×D4—794no—
1737C4×D4—794no—
1738C4×D4—792no—
1739C4×D4—792no—
1740C4×D4—794no—
1741C4×D4—792no—
1742C4×D4—794no—
1743C4×D4—794no—
1744C4×D4—794no—
1745C4×D4—792no—
1746C4×D4—792no—
1747C4×D4—794no—
1748C4×D4—794no—
1749C4×D4—794no—
1750C4×D4—792no—
1751C4×D4—792no—
1752C4×D4—792no—
1753C4×D4—792no—
1754C4×D4—792no—
1755C4×D4—792no—
1756C4×D4—794no—
1757C4×D4—794no—
1758C4×D4—794no—
1759C4×D4—794no—
1760C4×D4—794no—
1761C4×D4—794no—
1762C4×D4—794no—
1763C4×D4—792no—
1764C4×D4—794no—
1765C4×D4—792no—
1766C4×D4—794no—
1767C4×D4—794no—
1768C4×D4—794no—
1769C4×D4—794no—
1770C4×D4—794no—
1771C4×D4—794no—
1772C4×D4—794no—
1773C4×D4—791no—
1774C4×D4—791no—
1775C4×D4—791no—
1776C4×D4—791no—
1777C4×D4C22×D7912yes—
1778C4×D4C22×D7912yes—
1779C4×D4C22×D7912yes—
1780C4×D4C22×D7914yes—
1781C4×D4C22×D7914yes—
1782C4×D4C22×D7912yes—
1783#117—792no—
1784#117—791no—
1785#117—794no—
1786#117—792no—
1787#117—792no—
1788#117—794no—
1789#117—794no—
1790#117—792no—
1791#117—792no—
1792#117—792no—
1793#117—792no—
1794#117—794no—
1795#117—794no—
1796#117—794no—
1797#117—792no—
1798#117—792no—
1799#117—794no—
1800#117—794no—
1801#117—794no—
1802#117—794no—
1803#117—794no—
1804#117—794no—
1805#117—794no—
1806#117—794no—
1807#117—794no—
1808#117—792no—
1809#117—792no—
1810#117—792no—
1811#117—794no—
1812#117—794no—
1813#117C22×D7912yes—
1814C2×C4⋊C4—792no—
1815C2×C4⋊C4—791no—
1816C2×C4⋊C4—791no—
1817C2×C4⋊C4—794no—
1818C2×C4⋊C4—792no—
1819C2×C4⋊C4—792no—
1820C2×C4⋊C4—792no—
1821C2×C4⋊C4—794no—
1822C2×C4⋊C4—794no—
1823C2×C4⋊C4—792no—
1824C2×C4⋊C4—792no—
1825C2×C4⋊C4—794no—
1826C2×C4⋊C4C22×D7912yes—
1827C2×C4⋊C4C22×D7912yes—
1828C2×C4⋊C4C22×D7914yes—
1829C2×C22⋊C4—794no—
1830C2×C22⋊C4—794no—
1831C2×C22⋊C4—794no—
1832C2×C22⋊C4—794no—
1833C2×C22⋊C4—794no—
1834C2×C22⋊C4—794no—
1835C2×C22⋊C4—794no—
1836C2×C22⋊C4—794no—
1837C2×C42—794no—
1838C2×C42—794no—
1839C2×C42—792no—
1840C2×C42—792no—
1841C2×C42C22×D7911yescharacteristic
1842C24—794no—
1843C24—792no—
1844#41—42no—
1845#41—42no—
1846#41—44no—
1847#41—44no—
1848#41—84no—
1849#41—82no—
1850#41—3162no—
1851#41—3164no—
1852#41—6324no—
1853#41—6324no—
1854#41—6324no—
1855C2×Q8—3164no—
1856C2×Q8—791no—
1857C2×Q8—794no—
1858C2×Q8—792no—
1859C2×Q8—794no—
1860C2×Q8—794no—
1861C2×Q8—794no—
1862C2×Q8—791no—
1863C2×Q8—794no—
1864C2×Q8—791no—
1865C2×Q8—6324no—
1866C2×Q8—6322no—
1867C2×Q8C23×D7912yes—
1868C2×Q8C23×D7911yescharacteristic
1869C2×Q8C23×D7911yescharacteristic
1870C2×Q8C23×D7912yes—
1871C2×Q8C23×D7912yes—
1872C2×D4—3164no—
1873C2×D4—792no—
1874C2×D4—792no—
1875C2×D4—794no—
1876C2×D4—794no—
1877C2×D4—792no—
1878C2×D4—792no—
1879C2×D4—792no—
1880C2×D4—794no—
1881C2×D4—792no—
1882C2×D4—792no—
1883C2×D4—792no—
1884C2×D4—794no—
1885C2×D4—794no—
1886C2×D4—792no—
1887C2×D4—794no—
1888C2×D4—791no—
1889C2×D4—792no—
1890C2×D4—791no—
1891C2×D4—794no—
1892C2×D4—791no—
1893C2×D4—6322no—
1894C2×D4—6324no—
1895C2×D4C23×D7912yes—
1896C2×D4C23×D7911yescharacteristic
1897C2×D4C23×D7914yes—
1898C2×D4C23×D7912yes—
1899C2×D4C23×D7914yes—
1900C2×D4C23×D7911yescharacteristic
1901C2×D4C23×D7912yes—
1902C2×D4C23×D7914yes—
1903C2×D4C23×D7914yes—
1904C2×D4C23×D7912yes—
1905C2×D4C23×D7914yes—
1906C2×D4C23×D7912yes—
1907C2×D4C23×D7912yes—
1908C2×D4C23×D7912yes—
1909C22×C4—3164no—
1910C22×C4—792no—
1911C22×C4—794no—
1912C22×C4—794no—
1913C22×C4—794no—
1914C22×C4—792no—
1915C22×C4—792no—
1916C22×C4—794no—
1917C22×C4—792no—
1918C22×C4—792no—
1919C22×C4—794no—
1920C22×C4—792no—
1921C22×C4—792no—
1922C22×C4—792no—
1923C22×C4—792no—
1924C22×C4—794no—
1925C22×C4—794no—
1926C22×C4—794no—
1927C22×C4—794no—
1928C22×C4—792no—
1929C22×C4—792no—
1930C22×C4—792no—
1931C22×C4C23×D7912yes—
1932C22×C4C23×D7911yescharacteristic
1933C22×C4C23×D7912yes—
1934C22×C4C23×D7914yes—
1935C22×C4C23×D7914yes—
1936C22×C4C23×D7911yescharacteristic
1937C22×C4C23×D7911yescharacteristic
1938C22×C4C23×D7914yes—
1939C22×C4C23×D7914yes—
1940C22×C4C23×D7914yes—
1941C4⋊C4—794no—
1942C4⋊C4—794no—
1943C4⋊C4—792no—
1944C4⋊C4—794no—
1945C4⋊C4—794no—
1946C4⋊C4—794no—
1947C4⋊C4—794no—
1948C4⋊C4—794no—
1949C4⋊C4—794no—
1950C4⋊C4—794no—
1951C4⋊C4—794no—
1952C4⋊C4—794no—
1953C4⋊C4—794no—
1954C4⋊C4—794no—
1955C4⋊C4—792no—
1956C4⋊C4—794no—
1957C4⋊C4—792no—
1958C4⋊C4—794no—
1959C4⋊C4—794no—
1960C4⋊C4—792no—
1961C4⋊C4—792no—
1962C4⋊C4—792no—
1963C4⋊C4—792no—
1964C4⋊C4—792no—
1965C4⋊C4—794no—
1966C4⋊C4—792no—
1967C4⋊C4—792no—
1968C4⋊C4—794no—
1969C4⋊C4—792no—
1970C4⋊C4—792no—
1971C4⋊C4—792no—
1972C4⋊C4—792no—
1973C4⋊C4—792no—
1974C4⋊C4—791no—
1975C4⋊C4—792no—
1976C4⋊C4—791no—
1977C4⋊C4—794no—
1978C4⋊C4—792no—
1979C4⋊C4—794no—
1980C4⋊C4—794no—
1981C4⋊C4—792no—
1982C4⋊C4—794no—
1983C4⋊C4—794no—
1984C4⋊C4—792no—
1985C4⋊C4—792no—
1986C4⋊C4—794no—
1987C4⋊C4—791no—
1988C4⋊C4—791no—
1989C4⋊C4—794no—
1990C4⋊C4—794no—
1991C4⋊C4—791no—
1992C4⋊C4—791no—
1993C4⋊C4C23×D7912yes—
1994C4⋊C4C23×D7912yes—
1995C4⋊C4C23×D7914yes—
1996C4⋊C4C23×D7912yes—
1997C4⋊C4C23×D7912yes—
1998C4⋊C4C23×D7914yes—
1999C4⋊C4C23×D7914yes—
2000C4⋊C4C23×D7914yes—
2001C4⋊C4C23×D7912yes—
2002C4⋊C4C23×D7912yes—
2003C4⋊C4C23×D7914yes—
2004C4⋊C4C23×D7914yes—
2005C4⋊C4C23×D7912yes—
2006C4⋊C4C23×D7912yes—
2007C22⋊C4—794no—
2008C22⋊C4—794no—
2009C22⋊C4—794no—
2010C22⋊C4—794no—
2011C22⋊C4—794no—
2012C22⋊C4—792no—
2013C22⋊C4—792no—
2014C22⋊C4—792no—
2015C22⋊C4—794no—
2016C22⋊C4—794no—
2017C22⋊C4—792no—
2018C22⋊C4—794no—
2019C22⋊C4—792no—
2020C22⋊C4—794no—
2021C22⋊C4—794no—
2022C22⋊C4—792no—
2023C22⋊C4—792no—
2024C22⋊C4—794no—
2025C22⋊C4—794no—
2026C22⋊C4—792no—
2027C22⋊C4—792no—
2028C22⋊C4—794no—
2029C22⋊C4—792no—
2030C22⋊C4—792no—
2031C22⋊C4—792no—
2032C22⋊C4—794no—
2033C22⋊C4—792no—
2034C22⋊C4—792no—
2035C22⋊C4—792no—
2036C22⋊C4—794no—
2037C22⋊C4—794no—
2038C22⋊C4—794no—
2039C22⋊C4—794no—
2040C22⋊C4—794no—
2041C22⋊C4—794no—
2042C22⋊C4—794no—
2043C22⋊C4—794no—
2044C22⋊C4—794no—
2045C22⋊C4—794no—
2046C22⋊C4—794no—
2047C22⋊C4—792no—
2048C22⋊C4—792no—
2049C22⋊C4—792no—
2050C22⋊C4—792no—
2051C22⋊C4—794no—
2052C22⋊C4—792no—
2053C22⋊C4—792no—
2054C22⋊C4—792no—
2055C22⋊C4—792no—
2056C22⋊C4C23×D7914yes—
2057C22⋊C4C23×D7914yes—
2058C22⋊C4C23×D7914yes—
2059C22⋊C4C23×D7914yes—
2060C22⋊C4C23×D7912yes—
2061C22⋊C4C23×D7914yes—
2062C22⋊C4C23×D7912yes—
2063C22⋊C4C23×D7914yes—
2064C22⋊C4C23×D7912yes—
2065C22⋊C4C23×D7912yes—
2066C22⋊C4C23×D7914yes—
2067C42—792no—
2068C42—792no—
2069C42—794no—
2070C42—794no—
2071C42—794no—
2072C42—794no—
2073C42—792no—
2074C42—794no—
2075C42—792no—
2076C42—792no—
2077C42—792no—
2078C42—794no—
2079C42—792no—
2080C42—794no—
2081C42—794no—
2082C42—794no—
2083C42—794no—
2084C42C23×D7911yescharacteristic
2085C42C23×D7911yescharacteristic
2086C42C23×D7911yescharacteristic
2087C42C23×D7911yescharacteristic
2088C42C23×D7914yes—
2089C23—3162no—
2090C23—3162no—
2091C23—3162no—
2092C23—3164no—
2093C23—3164no—
2094C23—3164no—
2095C23—792no—
2096C23—792no—
2097C23—792no—
2098C23C24×D7912yes—
2099C23C24×D7914yes—
2100C23C24×D7912yes—
2101C23C24×D7911yescharacteristic
2102Q8—24no—
2103Q8—42no—
2104Q8—41no—
2105Q8—41no—
2106Q8—42no—
2107Q8—3164no—
2108Q8—3164no—
2109Q8—3161no—
2110Q8—3164no—
2111Q8—3164no—
2112Q8—3164no—
2113Q8—3162no—
2114Q8—3161no—
2115Q8—1582no—
2116D4—24no—
2117D4—44no—
2118D4—42no—
2119D4—42no—
2120D4—42no—
2121D4—42no—
2122D4—42no—
2123D4—41no—
2124D4—41no—
2125D4—44no—
2126D4—44no—
2127D4—42no—
2128D4—44no—
2129D4—44no—
2130D4—3161no—
2131D4—3164no—
2132D4—3162no—
2133D4—3161no—
2134D4—3164no—
2135D4—3162no—
2136D4—3164no—
2137D4—3164no—
2138D4—3162no—
2139D4—3162no—
2140D4—3164no—
2141D4—3164no—
2142D4—3164no—
2143D4—3162no—
2144D4—3162no—
2145D4—3162no—
2146D4—3162no—
2147D4—3162no—
2148D4—3162no—
2149D4—1582no—
2150C2×C4—24no—
2151C2×C4—24no—
2152C2×C4—22no—
2153C2×C4—41no—
2154C2×C4—44no—
2155C2×C4—44no—
2156C2×C4—44no—
2157C2×C4—44no—
2158C2×C4—41no—
2159C2×C4—44no—
2160C2×C4—3162no—
2161C2×C4—3162no—
2162C2×C4—3162no—
2163C2×C4—3164no—
2164C2×C4—3164no—
2165C2×C4—3164no—
2166C2×C4—3162no—
2167C2×C4—3164no—
2168C2×C4—3162no—
2169C2×C4—3162no—
2170C2×C4—3162no—
2171C2×C4—3164no—
2172C2×C4—3162no—
2173C2×C4—3164no—
2174C2×C4—3164no—
2175C2×C4—3164no—
2176C2×C4—3162no—
2177C2×C4—3164no—
2178C2×C4—3162no—
2179C2×C4—792no—
2180C2×C4—792no—
2181C2×C4—792no—
2182C2×C4—792no—
2183C2×C4—792no—
2184C2×C4—792no—
2185C2×C4—794no—
2186C2×C4—792no—
2187C2×C4—792no—
2188C2×C4—792no—
2189C2×C4—794no—
2190C2×C4—1584no—
2191C2×C4—1584no—
2192C2×C4C24×D7912yes—
2193C2×C4C24×D7914yes—
2194C2×C4C24×D7914yes—
2195C2×C4C24×D7911yescharacteristic
2196C2×C4C24×D7911yescharacteristic
2197C2×C4C24×D7911yescharacteristic
2198C2×C4C24×D7912yes—
2199C2×C4C24×D7914yes—
2200C2×C4C24×D7911yescharacteristic
2201C2×C4C24×D7911yescharacteristic
2202C2×C4C24×D7911yescharacteristic
2203C22—22no—
2204C22—22no—
2205C22—21no—
2206C22—24no—
2207C22—22no—
2208C22—22no—
2209C22—21no—
2210C22—24no—
2211C22—21no—
2212C22—22no—
2213C22—24no—
2214C22—22no—
2215C22—6324no—
2216C22—1582no—
2217C22—1582no—
2218C22—1582no—
2219C22—1582no—
2220C22—1582no—
2221C22—1582no—
2222C22—1582no—
2223C22—1582no—
2224C22—1582no—
2225C22—12644no—
2226C22C25×D7911yescharacteristic
2227C4—22no—
2228C4—22no—
2229C4—21no—
2230C4—24no—
2231C4—21no—
2232C4—24no—
2233C4—24no—
2234C4—21no—
2235C4—21no—
2236C4—21no—
2237C4—1582no—
2238C4—1582no—
2239C4—1582no—
2240C4—1584no—
2241C4—1582no—
2242C4—1582no—
2243C4—1582no—
2244C4—1582no—
2245C4—1582no—
2246C4—1584no—
2247C4—1582no—
2248C4#1909939812yes—
2249C2—42no—
2250C2—44no—
2251C2—42no—
2252C2—41no—
2253C2—3162no—
2254C2—3162no—
2255C2—3162no—
2256C2C2×#1909939811yescharacteristic
2257C2#2377821011yescharacteristic
2258C2#2377821211yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3548C2
hypercenter#3548D79
hypocenterC79#63065
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3548

Complements

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

NH ≅ G/Ntype
1. #23778087C2semidirect
2. #23778072C2semidirect
3. #23778023C2semidirect
4. #23778010C2semidirect
5. #23777974C2semidirect
6. #23777962C2semidirect
7. #23777949C2semidirect
8. #23777938C2semidirect
9. #23777835C2semidirect
10. #23777821C2semidirect
11. #23777818C2semidirect
12. #23777779C2semidirect
13. #23777750C2semidirect
14. #23777736C2semidirect
15. #23777706C2semidirect
16. #23777683C2semidirect
17. #23777618C2semidirect
18. #23777544C2semidirect
19. #23777536C2semidirect
20. #23777498C2semidirect
21. #23777469C2semidirect
22. #23777409C2semidirect
23. #23777356C2semidirect
24. #23777320C2semidirect
25. #23777309C2semidirect
26. #23777148C2semidirect
27. #23777124C2semidirect
28. #23777119C2semidirect
29. C79×#3548C2semidirect
30. C79⋊#564C22semidirect
32. #19099317C22semidirect
33. #19099316C22semidirect
34. #19099316C22semidirect
35. #19099314C22semidirect
36. #19099314C22semidirect
37. #19099314C22semidirect
38. #19099313C22semidirect
39. #19099313C22semidirect
40. #19099312C22semidirect
41. #19099308C22semidirect
42. #19099308C22semidirect
43. #19099308C22semidirect
44. #19099308C22semidirect
45. #19099308C22semidirect
46. #19099308C22semidirect
48. #19099307C22semidirect
49. #19099307C22semidirect
52. #19099301C22semidirect
53. #19099301C22semidirect
55. #19099300C22semidirect
56. #19099299C22semidirect
57. #19099299C22semidirect
58. #19099293C22semidirect
59. #19099289C22semidirect
61. #19099287C22semidirect
62. #19099285C22semidirect
63. #19099284C22semidirect
64. #19099284C22semidirect
65. #19099284C22semidirect
66. #19099284C22semidirect
67. #19099281C22semidirect
70. #19099277C22semidirect
71. #19099277C22semidirect
72. #19099277C22semidirect
73. #19099277C22semidirect
74. #19099277C22semidirect
75. #19099276C22semidirect
76. #19099272C22semidirect
77. #19099271C22semidirect
78. #19099271C22semidirect
79. #19099268C22semidirect
80. #19099268C22semidirect
81. #19099265C22semidirect
82. #19099265C22semidirect
83. #19099265C22semidirect
84. #19099265C22semidirect
85. #19099263C22semidirect
86. #19099261C22semidirect
87. #19099259C22semidirect
88. #19099259C22semidirect
89. #19099258C22semidirect
90. #19099256C22semidirect
91. #19099256C22semidirect
92. #19099256C22semidirect
93. #19099256C22semidirect
94. #19099256C22semidirect
95. #19099255C22semidirect
96. #19099255C22semidirect
97. #19099255C22semidirect
99. #19099253C22semidirect
100. #19099253C22semidirect
101. #19099253C22semidirect
102. #19099250C22semidirect
103. #19099248C22semidirect
104. #19099248C22semidirect
105. #19099247C22semidirect
106. #19099246C22semidirect
107. #19099245C22semidirect
108. #19099242C22semidirect
109. #19099242C22semidirect
110. #19099242C22semidirect
111. #19099241C22semidirect
113. #19099240C22semidirect
114. #19099240C22semidirect
115. #19099236C22semidirect
116. #19099236C22semidirect
117. #19099228C22semidirect
118. #19099228C22semidirect
119. #19099226C22semidirect
120. #19099223C22semidirect
121. #19099222C22semidirect
122. #19099220C22semidirect
123. #19099220C22semidirect
124. #19099220C22semidirect
125. #19099219C22semidirect
126. #19099219C22semidirect
128. #19099213C22semidirect
129. #19099213C22semidirect
130. #19099212C22semidirect
131. #19099212C22semidirect
132. #19099210C22semidirect
133. #19099210C22semidirect
134. #19099205C22semidirect
136. #19099202C22semidirect
139. #19099201C22semidirect
140. #19099201C22semidirect
142. #19099194C22semidirect
143. #19099192C22semidirect
144. #19099192C22semidirect
145. #19099190C22semidirect
146. #19099190C22semidirect
147. #19099188C22semidirect
148. #19099186C22semidirect
149. #19099186C22semidirect
150. #19099185C22semidirect
152. #19099183C22semidirect
153. #19099183C22semidirect
154. #19099181C22semidirect
155. #19099181C22semidirect
156. #19099180C22semidirect
157. #19099180C22semidirect
158. #19099180C22semidirect
159. #19099178C22semidirect
160. #19099174C22semidirect
161. #19099174C22semidirect
162. #19099172C22semidirect
163. #19099172C22semidirect
164. #19099171C22semidirect
165. #19099167C22semidirect
166. #19099167C22semidirect
167. #19099167C22semidirect
168. #19099166C22semidirect
169. #19099165C22semidirect
170. #19099163C22semidirect
171. #19099163C22semidirect
173. #19099162C22semidirect
174. #19099160C22semidirect
175. #19099159C22semidirect
176. #19099158C22semidirect
177. #19099157C22semidirect
178. #19099155C22semidirect
179. #19099155C22semidirect
180. #19099150C22semidirect
181. #19099150C22semidirect
182. #19099150C22semidirect
183. #19099150C22semidirect
184. #19099149C22semidirect
186. #19099145C22semidirect
187. #19099145C22semidirect
188. #19099145C22semidirect
189. #19099145C22semidirect
190. #19099142C22semidirect
193. #19099141C22semidirect
194. #19099140C22semidirect
195. #19099136C22semidirect
196. #19099136C22semidirect
197. #19099135C22semidirect
198. #19099134C22semidirect
200. #19099126C22semidirect
202. #19099119C22semidirect
203. #19099115C22semidirect
204. #19099115C22semidirect
205. #19099109C22semidirect
206. #19099109C22semidirect
207. #19099108C22semidirect
208. C2×#14579160C22semidirect
209. #19099099C22semidirect
210. #19099098C22semidirect
212. #19099097C22semidirect
213. #19099094C22semidirect
214. #19099094C22semidirect
215. #19099094C22semidirect
216. #19099094C22semidirect
217. #19099093C22semidirect
218. #19099093C22semidirect
219. #19099093C22semidirect
220. #19099093C22semidirect
221. #19099092C22semidirect
222. #19099092C22semidirect
223. #19099092C22semidirect
224. #19099090C22semidirect
225. #19099090C22semidirect
226. C2×#14579156C22semidirect
227. C2×#14579153C22semidirect
230. #19099072C22semidirect
231. #19099070C22semidirect
232. #19099070C22semidirect
233. C22⋊Q8×D79C22semidirect
234. #121×D79C22semidirect
235. #19099046C22semidirect
236. #19099046C22semidirect
237. #19099046C22semidirect
238. #19099044C22semidirect
239. #19099039C22semidirect
240. #19099035C22semidirect
241. #41×Dic79C22semidirect
242. C4×#11929624C22semidirect
243. C2×#14579119C22semidirect
244. #562×C79C22semidirect
245. #562×C79C22semidirect
246. #554×C79C22semidirect
247. #554×C79C22semidirect
248. #550×C79C22semidirect
249. #550×C79C22semidirect
250. #547×C79C22semidirect
251. #547×C79C22semidirect
252. #540×C79C22semidirect
253. #537×C79C22semidirect
254. #537×C79C22semidirect
255. #537×C79C22semidirect
256. #533×C79C22semidirect
257. #532×C79C22semidirect
258. #532×C79C22semidirect
1141. #3548D79semidirect
1159. C79#63065semidirect
1180. #562C2×D79semidirect
1181. #562C2×D79semidirect
1213. #554C2×D79semidirect
1214. #554C2×D79semidirect
1251. #550C2×D79semidirect
1252. #550C2×D79semidirect
1268. #547C2×D79semidirect
1269. #547C2×D79semidirect
1310. #540C2×D79semidirect
1334. #537C2×D79semidirect
1335. #537C2×D79semidirect
1336. #537C2×D79semidirect
1347. #533C2×D79semidirect
1351. #532C2×D79semidirect
1352. #532C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780872
#237780722
#237780232
#237780102
#237779742
#237779622
#237779492
#237779382
#237778352
#237778212
#237778182
#237777792
#237777502
#237777362
#237777062
#237776832
#237776182
#237775442
#237775362
#237774982
#237774692
#237774092
#237773562
#237773202
#237773092
#237771482
#237771242
#237771192
C79×#35482
#6306579