Finite Group Databasebeta

← #35201952

Subgroups — #35201952

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#23778088C212yesmaximal, complemented
2#23778053C214yesmaximal, complemented
3#23778013C214yesmaximal, complemented
4#23778006C211yesmaximal, characteristic, complemented
5#23777979C214yesmaximal, complemented
6#23777970C212yesmaximal, complemented
7#23777939C214yesmaximal, complemented
8#23777934C211yesmaximal, characteristic, complemented
9#23777839C212yesmaximal, complemented
10#23777826C214yesmaximal, complemented
11#23777818C212yesmaximal, complemented
12#23777798C211yesmaximal, characteristic, complemented
13#23777784C214yesmaximal, complemented
14#23777752C212yesmaximal, complemented
15#23777742C212yesmaximal, complemented
16#23777719C212yesmaximal, complemented
17#23777696C212yesmaximal, complemented
18#23777618C212yesmaximal, complemented
19#23777545C212yesmaximal, complemented
20#23777536C211yesmaximal, characteristic, complemented
21#23777506C212yesmaximal, complemented
22#23777463C212yesmaximal, complemented
23#23777417C211yesmaximal, characteristic, complemented
24#23777361C211yesmaximal, characteristic, complemented
25#23777303C212yesmaximal, complemented
26#23777141C212yesmaximal, complemented
27#23777131C212yesmaximal, complemented
28#23777113C212yesmaximal, complemented
29C79×#3512C211yesmaximal, characteristic, complemented
30C79⋊#564C2212yescomplemented
31#19099317C2212yes—
32#19099317C2212yescomplemented
33#19099317C2214yescomplemented
34#19099316C2214yescomplemented
35#19099315C2214yescomplemented
36#19099315C2214yescomplemented
37#19099315C2214yescomplemented
38#19099314C2214yescomplemented
39#19099313C2211yescharacteristic, complemented
40#19099312C2212yescomplemented
41#19099311C2212yescomplemented
42#19099310C2214yescomplemented
43#19099310C2214yescomplemented
44#19099308C2212yescomplemented
45#19099308C2212yescomplemented
46#19099308C2214yescomplemented
47#19099308C2214yescomplemented
48#19099307C2211yescharacteristic
49#19099307C2211yescharacteristic, complemented
50#19099307C2212yescomplemented
51#19099307C2212yescomplemented
52#19099305C2211yescharacteristic
53#19099301C2212yes—
54#19099301C2214yes—
55#19099301C2212yescomplemented
56#19099301C2214yescomplemented
57#19099300C2212yescomplemented
58#19099298C2211yescharacteristic, complemented
59#19099297C2214yescomplemented
60Q8×Dic158C2211yescharacteristic, complemented
61#19099290C2212yescomplemented
62#19099286C2211yescharacteristic
63#19099286C2214yescomplemented
64#19099283C2212yescomplemented
65#19099283C2211yescharacteristic, complemented
66#19099281C2212yescomplemented
67#19099281C2212yescomplemented
68#19099281C2212yescomplemented
69#19099281C2214yescomplemented
70#19099278C2211yescharacteristic
71#19099278C2212yescomplemented
72#19099278C2214yescomplemented
73#19099277C2214yescomplemented
74#19099276C2212yes—
75#19099276C2212yescomplemented
76#19099276C2212yescomplemented
77#19099276C2214yescomplemented
78#19099274C2212yescomplemented
79#19099271C2212yescomplemented
80#19099270C2212yescomplemented
81#19099269C2212yescomplemented
82#19099269C2214yescomplemented
83#19099268C2212yescomplemented
84#19099268C2212yescomplemented
85#19099266C2212yescomplemented
86#19099265C2212yescomplemented
87#19099264C2214yescomplemented
88#19099263C2214yescomplemented
89#19099262C2214yescomplemented
90#19099262C2214yescomplemented
91#19099261C2212yescomplemented
92#19099261C2212yescomplemented
93#19099260C2214yescomplemented
94#19099257C2214yescomplemented
95#19099255C2212yescomplemented
96#19099254C2214yescomplemented
97#19099251C2212yes—
98#19099251C2214yescomplemented
99#19099249C2214yescomplemented
100#19099249C2214yescomplemented
101#19099248C2214yescomplemented
102#19099248C2212yescomplemented
103#19099248C2212yescomplemented
104#19099246C2214yescomplemented
105#19099245C2214yescomplemented
106#19099242C2214yescomplemented
107#19099240C2214yescomplemented
108#19099238C2214yescomplemented
109#19099238C2214yescomplemented
110#19099237C2214yes—
111#19099237C2214yescomplemented
112#19099236C2214yescomplemented
113#19099236C2214yescomplemented
114#19099236C2214yescomplemented
115#19099234C2212yescomplemented
116#19099233C2212yescomplemented
117Q8×D316C2211yescharacteristic, complemented
118D4×Dic158C2211yescharacteristic, complemented
119D4×Dic158C2214yescomplemented
120#19099223C2212yescomplemented
121#19099223C2212yescomplemented
122#19099222C2214yescomplemented
123#19099222C2214yescomplemented
124#19099222C2212yescomplemented
125#19099220C2212yescomplemented
126#19099219C2214yescomplemented
127#19099218C2212yescomplemented
128#19099217C2212yescomplemented
129#19099214C2212yescomplemented
130#19099214C2212yescomplemented
131#19099214C2214yescomplemented
132#19099213C2212yes—
133#19099211C2214yescomplemented
134#19099210C2212yes—
135#19099210C2212yescomplemented
136#19099210C2214yescomplemented
137#19099209C2212yes—
138#19099209C2214yes—
139#19099208C2214yescomplemented
140#19099202C2214yescomplemented
141#19099202C2214yescomplemented
142#19099201C2212yescomplemented
143D4×D316C2211yescharacteristic
144#19099194C2212yescomplemented
145#19099193C2212yescomplemented
146#19099193C2212yescomplemented
147#19099193C2214yescomplemented
148#19099191C2212yescomplemented
149#19099188C2214yescomplemented
150#19099186C2212yescomplemented
151#19099185C2214yescomplemented
152#19099185C2212yescomplemented
153#19099184C2214yescomplemented
154#19099180C2212yescomplemented
155#19099179C2214yes—
156#19099179C2214yescomplemented
157#19099179C2214yescomplemented
158#19099179C2214yescomplemented
159#19099178C2214yescomplemented
160#19099178C2212yescomplemented
161#19099178C2214yescomplemented
162#19099176C2212yescomplemented
163#19099172C2214yescomplemented
164#19099172C2214yescomplemented
165#19099170C2214yescomplemented
166#19099169C2212yescomplemented
167#19099166C2214yescomplemented
168#19099166C2214yescomplemented
169#19099165C2214yescomplemented
170#19099165C2214yescomplemented
171#19099164C2214yescomplemented
172#19099163C2214yescomplemented
173#19099161C2214yescomplemented
174#19099161C2214yescomplemented
175#19099160C2212yes—
176#19099160C2212yescomplemented
177#19099159C2214yescomplemented
178#19099158C2214yescomplemented
179#19099156C2214yescomplemented
180#19099155C2214yescomplemented
181#19099152C2214yes—
182#19099152C2214yescomplemented
183#19099150C2214yescomplemented
184#19099149C2214yescomplemented
185#19099146C2214yescomplemented
186#19099146C2214yescomplemented
187#19099146C2214yescomplemented
188#19099145C2214yescomplemented
189#19099145C2214yescomplemented
190#19099145C2214yescomplemented
191#19099144C2212yes—
192#19099144C2212yescomplemented
193#19099142C2214yescomplemented
194#19099142C2214yescomplemented
195#19099141C2212yescomplemented
196#19099141C2212yescomplemented
197#19099139C2214yescomplemented
198#19099136C2212yescomplemented
199#19099135C2214yescomplemented
200#19099135C2214yescomplemented
201#19099129C2212yes—
202#19099129C2214yescomplemented
203#19099124C2214yes—
204#19099120C2211yescharacteristic, complemented
205#19099120C2212yescomplemented
206#19099117C2214yescomplemented
207#19099116C2214yescomplemented
208#19099113C2211yescharacteristic, complemented
209#19099110C2214yescomplemented
210#19099109C2212yescomplemented
211#19099108C2214yescomplemented
212C2×#14579160C2212yescomplemented
213#19099099C2212yescomplemented
214#19099098C2214yescomplemented
215#19099097C2211yescharacteristic
216#19099097C2211yescharacteristic, complemented
217#19099097C2212yescomplemented
218#19099097C2212yescomplemented
219#19099095C2214yescomplemented
220#19099094C2212yescomplemented
221#19099093C2212yescomplemented
222#19099093C2212yescomplemented
223#19099093C2214yescomplemented
224#19099093C2214yescomplemented
225#19099093C2214yescomplemented
226#19099091C2214yescomplemented
227#19099090C2214yescomplemented
228#126×D79C2214yescomplemented
229C2×#14579149C2212yes—
230#19099075C2212yescomplemented
231#19099072C2212yes—
232#19099072C2212yescomplemented
233#19099070C2212yescomplemented
234C22⋊Q8×D79C2212yescomplemented
235#121×D79C2212yescomplemented
236#19099044C2212yescomplemented
237#19099043C2212yescomplemented
238#19099039C2212yescomplemented
239#19099035C2212yescomplemented
240#19099031C2212yescomplemented
241C2×#14579119C2212yescomplemented
242#553×C79C2214yescomplemented
243#553×C79C2212yescomplemented
244#553×C79C2212yescomplemented
245#553×C79C2214yescomplemented
246#552×C79C2212yescomplemented
247#552×C79C2212yescomplemented
248#541×C79C2212yescomplemented
249#540×C79C2212yescomplemented
250#537×C79C2211yescharacteristic
251#537×C79C2211yescharacteristic, complemented
252#532×C79C2211yescharacteristic, complemented
253#529×C79C2212yescomplemented
254#529×C79C2212yescomplemented
255C2×#125×C79C2211yescharacteristic, complemented
256#520×C79C2211yescharacteristic, complemented
257#520×C79C2211yescharacteristic, complemented
258C4×#41×C79C2211yescharacteristic, complemented
259C2×#11929624C2312yes—
260C2×#11929624C2312yes—
261C2×#11929624C2312yes—
262C2×#11929624C2314yes—
263C2×#11929624C2312yes—
264C2×#11929624C2314yes—
265C2×#11929623C2314yes—
266C2×#11929623C2314yes—
267C22×Dic158C2314yes—
268C22×Dic158C2312yes—
269C2×Q8×D79C2312yes—
270C22×D316C2312yes—
271C2×D4×D79C2312yes—
272C2×D4×D79C2314yes—
273C22×C4×D79C2312yes—
274#14579161C2312yes—
275#14579161C2314yes—
276#14579161C2311yescharacteristic
277#14579161C2312yes—
278#14579161C2311yescharacteristic
279#14579161C2311yescharacteristic
280#14579160C2314yes—
281#14579160C2314yes—
282#14579160C2314yes—
283#14579160C2312yes—
284#14579160C2314yes—
285#14579160C2314yes—
286#14579160C2314yes—
287#14579160C2312yes—
288#14579160C2312yes—
289#14579160C2312yes—
290#14579160C2314yes—
291#14579159C2312yes—
292#14579158C2311yescharacteristic
293#14579157C2314yes—
294#14579157C2314yes—
295#14579157C2312yes—
296#14579156C2314yes—
297#14579156C2314yes—
298#14579156C2314yes—
299#14579156C2314yes—
300#14579156C2314yes—
301#14579156C2314yes—
302#14579156C2314yes—
303#14579156C2314yes—
304#14579156C2314yes—
305#14579156C2314yes—
306#14579156C2314yes—
307#14579156C2312yes—
308#14579156C2312yes—
309#14579156C2314yes—
310#14579155C2314yes—
311#14579155C2314yes—
312#14579155C2314yes—
313#14579155C2312yes—
314#14579155C2312yes—
315#14579155C2314yes—
316#14579154C2314yes—
317#14579154C2314yes—
318#14579154C2314yes—
319#14579154C2314yes—
320#14579154C2314yes—
321#14579154C2314yes—
322#14579154C2314yes—
323#14579154C2312yes—
324#14579154C2312yes—
325#14579154C2314yes—
326#14579153C2314yes—
327#14579153C2311yescharacteristic
328#14579153C2312yes—
329#14579153C2311yescharacteristic
330#14579152C2314yes—
331#14579152C2314yes—
332#14579152C2314yes—
333#14579152C2314yes—
334#14579152C2314yes—
335#14579152C2312yes—
336#14579152C2312yes—
337#14579151C2314yes—
338#14579151C2314yes—
339#14579151C2314yes—
340#14579151C2314yes—
341#14579151C2314yes—
342#14579151C2314yes—
343#14579151C2314yes—
344#14579151C2314yes—
345#14579151C2314yes—
346#14579151C2312yes—
347#14579151C2312yes—
348#14579150C2312yes—
349#14579150C2312yes—
350#14579149C2314yes—
351#14579149C2314yes—
352#14579149C2314yes—
353#14579149C2312yes—
354#14579149C2312yes—
355#14579149C2314yes—
356#14579149C2311yescharacteristic
357#14579149C2311yescharacteristic
358#14579149C2312yes—
359#14579148C2314yes—
360#14579148C2314yes—
361#14579148C2312yes—
362#14579148C2312yes—
363#14579147C2314yes—
364#14579147C2314yes—
365#14579147C2314yes—
366#14579147C2314yes—
367#14579147C2314yes—
368#14579147C2314yes—
369#14579147C2314yes—
370#14579147C2314yes—
371#14579147C2314yes—
372#14579147C2314yes—
373#14579147C2312yes—
374#14579147C2314yes—
375#14579147C2314yes—
376#14579147C2314yes—
377#14579147C2312yes—
378#14579146C2314yes—
379#14579146C2314yes—
380#14579146C2314yes—
381#14579146C2314yes—
382#14579146C2314yes—
383#14579146C2312yes—
384#14579146C2314yes—
385#14579146C2314yes—
386#14579146C2314yes—
387#14579146C2314yes—
388#14579146C2312yes—
389#14579146C2314yes—
390#14579146C2314yes—
391#14579145C2312yes—
392#14579145C2314yes—
393#14579145C2314yes—
394#14579145C2314yes—
395#14579145C2312yes—
396#14579145C2314yes—
397#14579145C2314yes—
398#14579145C2314yes—
399#14579144C2314yes—
400#14579144C2314yes—
401#14579144C2314yes—
402#14579144C2312yes—
403#14579144C2314yes—
404#14579144C2314yes—
405#14579144C2314yes—
406#14579144C2312yes—
407#14579143C2314yes—
408#14579143C2314yes—
409#14579143C2314yes—
410#14579143C2314yes—
411#14579143C2314yes—
412#14579143C2314yes—
413#14579143C2312yes—
414#14579143C2314yes—
415#14579143C2312yes—
416#14579142C2314yes—
417#14579142C2314yes—
418#14579142C2312yes—
419#14579142C2314yes—
420#14579142C2312yes—
421#14579142C2312yes—
422#14579142C2312yes—
423#14579141C2312yes—
424#14579141C2314yes—
425#14579141C2314yes—
426#14579141C2314yes—
427#14579141C2314yes—
428#14579141C2314yes—
429#14579141C2312yes—
430#14579141C2312yes—
431#14579141C2314yes—
432#14579141C2314yes—
433#14579141C2314yes—
434#14579140C2312yes—
435#14579140C2312yes—
436#14579140C2312yes—
437#14579140C2312yes—
438#14579140C2314yes—
439#14579140C2314yes—
440#14579140C2312yes—
441#14579140C2312yes—
442#14579140C2314yes—
443#14579140C2311yescharacteristic
444#14579140C2314yes—
445#14579140C2311yescharacteristic
446#14579139C2314yes—
447#14579139C2314yes—
448#14579139C2314yes—
449#14579139C2314yes—
450#14579139C2314yes—
451#14579139C2314yes—
452#14579139C2314yes—
453#14579139C2314yes—
454#14579139C2314yes—
455#14579139C2312yes—
456#14579139C2314yes—
457#14579139C2312yes—
458#14579139C2314yes—
459#14579139C2314yes—
460#14579138C2314yes—
461#14579138C2314yes—
462#14579138C2314yes—
463#14579138C2314yes—
464#14579138C2314yes—
465#14579138C2314yes—
466#14579138C2314yes—
467#14579138C2312yes—
468#14579138C2314yes—
469#14579138C2312yes—
470#14579138C2314yes—
471#14579138C2312yes—
472#14579138C2312yes—
473#14579137C2312yes—
474#14579137C2314yes—
475#14579137C2314yes—
476#14579137C2312yes—
477#14579137C2312yes—
478#14579136C2314yes—
479#14579136C2312yes—
480#14579136C2312yes—
481#14579136C2314yes—
482#14579136C2314yes—
483#14579136C2314yes—
484#14579136C2312yes—
485#14579135C2312yes—
486#14579135C2312yes—
487#14579135C2312yes—
488#14579135C2314yes—
489#14579135C2314yes—
490#14579135C2311yescharacteristic
491#14579135C2312yes—
492#14579135C2314yes—
493#14579135C2314yes—
494#14579135C2311yescharacteristic
495#14579135C2312yes—
496#14579135C2312yes—
497#14579134C2314yes—
498#14579134C2314yes—
499#14579134C2314yes—
500#14579134C2314yes—
501#14579134C2314yes—
502#14579134C2314yes—
503#14579134C2314yes—
504#14579134C2314yes—
505#14579134C2312yes—
506#14579134C2312yes—
507#14579133C2314yes—
508#14579133C2314yes—
509#14579133C2314yes—
510#14579133C2314yes—
511#14579133C2314yes—
512#14579133C2312yes—
513#14579133C2312yes—
514#14579133C2312yes—
515#14579133C2314yes—
516#14579133C2312yes—
517#14579133C2312yes—
518#14579133C2312yes—
519#14579133C2312yes—
520#14579133C2312yes—
521#14579133C2314yes—
522#14579132C2314yes—
523#14579132C2314yes—
524#14579132C2312yes—
525#14579132C2314yes—
526#14579132C2314yes—
527#14579132C2314yes—
528#14579132C2312yes—
529#14579132C2314yes—
530#14579132C2312yes—
531#14579131C2314yes—
532#14579131C2314yes—
533#14579131C2314yes—
534#14579131C2312yes—
535#14579131C2312yes—
536#14579129C2314yes—
537#14579129C2314yes—
538#14579129C2314yes—
539#14579129C2314yes—
540#14579129C2312yes—
541#14579129C2312yes—
542#14579129C2312yes—
543#14579129C2312yes—
544Q8×Dic79C2312yes—
545C4×Dic158C2314yes—
546C4×Dic158C2312yes—
547C4×Dic158C2314yes—
548C4×Dic158C2314yes—
549C4×Dic158C2312yes—
550C4×Dic158C2312yes—
551C4×Dic158C2312yes—
552C4×Dic158C2314yes—
553C4×Dic158C2314yes—
554C4×Dic158C2311yescharacteristic
555C4×Dic158C2311yescharacteristic
556#14579126C2314yes—
557#14579126C2314yes—
558#14579126C2312yes—
559#14579126C2312yes—
560#14579126C2312yes—
561C4×D316C2314yes—
562C4×D316C2312yes—
563C4×D316C2312yes—
564C4×D316C2314yes—
565C4×D316C2314yes—
566C4×D316C2312yes—
567C4×D316C2311yescharacteristic
568C4×D316C2312yes—
569C4×D316C2311yescharacteristic
570D4×Dic79C2314yes—
571D4×Dic79C2314yes—
572D4×Dic79C2314yes—
573D4×Dic79C2312yes—
574#14579123C2314yes—
575#14579123C2314yes—
576#14579123C2314yes—
577#14579123C2314yes—
578#14579123C2312yes—
579#14579123C2312yes—
580#14579123C2312yes—
581C4×C22⋊D79C2314yes—
582C4×C22⋊D79C2314yes—
583C4×C22⋊D79C2314yes—
584C4×C22⋊D79C2314yes—
585C4×C22⋊D79C2314yes—
586C4×C22⋊D79C2314yes—
587C4×C22⋊D79C2314yes—
588C4×C22⋊D79C2312yes—
589C4×C22⋊D79C2314yes—
590C4×C22⋊D79C2312yes—
591C4×C22⋊D79C2312yes—
592C4×C22⋊D79C2312yes—
593C4×C22⋊D79C2312yes—
594C4×C22⋊D79C2312yes—
595(C22⋊D79)⋊C4C2314yes—
596(C22⋊D79)⋊C4C2314yes—
597(C22⋊D79)⋊C4C2314yes—
598(C22⋊D79)⋊C4C2314yes—
599(C22⋊D79)⋊C4C2314yes—
600(C22⋊D79)⋊C4C2314yes—
601(C22⋊D79)⋊C4C2314yes—
602#14579120C2312yes—
603#14579120C2314yes—
604#14579120C2312yes—
605#14579120C2312yes—
606#14579120C2312yes—
607#14579120C2314yes—
608#14579119C2312yes—
609#14579119C2314yes—
610#14579119C2314yes—
611#14579119C2314yes—
612#14579119C2314yes—
613#14579119C2314yes—
614#14579119C2314yes—
615#14579119C2312yes—
616#14579119C2312yes—
617#14579119C2312yes—
618#14579118C2314yes—
619#14579118C2312yes—
620#14579118C2312yes—
621#14579118C2314yes—
622#14579118C2314yes—
623#14579118C2314yes—
624#14579118C2314yes—
625#14579117C2314yes—
626#14579117C2314yes—
627C2×C4⋊Dic79C2312yes—
628C2×C4⋊Dic79C2312yes—
629C2×Dic79⋊C4C2314yes—
630C4⋊C4×D79C2314yes—
631C4⋊C4×D79C2314yes—
632C4⋊C4×D79C2314yes—
633C4⋊C4×D79C2314yes—
634C4⋊C4×D79C2312yes—
635C4⋊C4×D79C2312yes—
636C2×(C2×D79)⋊C4C2314yes—
637C2×(C2×D79)⋊C4C2314yes—
638C2×(C2×D79)⋊C4C2314yes—
639C22⋊C4×D79C2314yes—
640C22⋊C4×D79C2314yes—
641C22⋊C4×D79C2314yes—
642C22⋊C4×D79C2314yes—
643C22⋊C4×D79C2314yes—
644C2×C4×Dic79C2314yes—
645C2×C4×Dic79C2312yes—
646C42×D79C2314yes—
647C2×#41×C79C2311yescharacteristic
648C2×#41×C79C2311yescharacteristic
649C2×#41×C79C2311yescharacteristic
650C4⋊Q8×C79C2311yescharacteristic
651#127×C79C2311yescharacteristic
652#126×C79C2314yes—
653#126×C79C2314yes—
654#126×C79C2314yes—
655#126×C79C2314yes—
656#125×C79C2312yes—
657#125×C79C2314yes—
658#125×C79C2312yes—
659#125×C79C2314yes—
660#125×C79C2312yes—
661#125×C79C2312yes—
662#124×C79C2311yescharacteristic
663#124×C79C2311yescharacteristic
664#123×C79C2314yes—
665#123×C79C2314yes—
666#123×C79C2314yes—
667#123×C79C2314yes—
668C22⋊Q8×C79C2312yes—
669C22⋊Q8×C79C2312yes—
670C22⋊Q8×C79C2312yes—
671C22⋊Q8×C79C2312yes—
672#121×C79C2312yes—
673#121×C79C2314yes—
674#121×C79C2314yes—
675#121×C79C2314yes—
676#121×C79C2312yes—
677#121×C79C2314yes—
678#121×C79C2312yes—
679#121×C79C2312yes—
680#121×C79C2312yes—
681#121×C79C2312yes—
682C4×Q8×C79C2311yescharacteristic
683C4×Q8×C79C2312yes—
684C4×Q8×C79C2311yescharacteristic
685C4×Q8×C79C2312yes—
686C4×D4×C79C2312yes—
687C4×D4×C79C2312yes—
688C4×D4×C79C2314yes—
689C4×D4×C79C2314yes—
690C4×D4×C79C2311yescharacteristic
691C4×D4×C79C2312yes—
692C4×D4×C79C2314yes—
693C4×D4×C79C2314yes—
694C4×D4×C79C2312yes—
695C4×D4×C79C2312yes—
696C4×D4×C79C2312yes—
697C4×D4×C79C2311yescharacteristic
698#117×C79C2314yes—
699#117×C79C2312yes—
700#117×C79C2312yes—
701#117×C79C2311yescharacteristic
702#117×C79C2314yes—
703#117×C79C2312yes—
704C2×C4⋊C4×C79C2312yes—
705C2×C4⋊C4×C79C2312yes—
706C2×C4⋊C4×C79C2312yes—
707C2×C4⋊C4×C79C2311yescharacteristic
708C2×C4⋊C4×C79C2311yescharacteristic
709C2×C4⋊C4×C79C2312yes—
710C2×C42×C79C2311yescharacteristic
711C2×C42×C79C2312yes—
712C23×D79C2414yes—
713C23×D79C2412yes—
714#11929624—44no—
715#11929624—44no—
716#11929624—44no—
717#11929624—84no—
718#11929624—82no—
719#11929624—84no—
720#11929623—84no—
721#11929623—84no—
722C2×Dic158—82no—
723C2×Dic158—84no—
724C2×Dic158C2412yes—
725C2×Dic158C2414yes—
726C2×Dic158C2414yes—
727C2×Dic158C2411yescharacteristic
728C2×Dic158C2414yes—
729C2×Dic158C2412yes—
730C2×Dic158C2414yes—
731C2×Dic158C2414yes—
732C2×Dic158C2412yes—
733C2×Dic158C2412yes—
734C2×Dic158C2411yescharacteristic
735Q8×D79—44no—
736C2×D316—82no—
737C2×D316C2412yes—
738C2×D316C2414yes—
739C2×D316C2412yes—
740C2×D316C2414yes—
741C2×D316C2412yes—
742C2×D316C2414yes—
743C2×D316C2412yes—
744C2×D316C2411yescharacteristic
745C2×D316C2411yescharacteristic
746C2×C22⋊D79C2412yes—
747C2×C22⋊D79C2414yes—
748C2×C22⋊D79C2414yes—
749C2×C22⋊D79C2414yes—
750C2×C22⋊D79C2412yes—
751C2×C22⋊D79C2412yes—
752C2×C22⋊D79C2414yes—
753C2×C22⋊D79C2412yes—
754C2×C22⋊D79C2414yes—
755C2×C22⋊D79C2412yes—
756C2×C22⋊D79C2414yes—
757C2×C22⋊D79C2412yes—
758C2×C22⋊D79C2414yes—
759C2×C22⋊D79C2412yes—
760C2×C22⋊D79C2412yes—
761D4×D79—44no—
762D4×D79—84no—
763C22×Dic79C2412yes—
764C22×Dic79C2414yes—
765C22×Dic79C2414yes—
766C22×Dic79C2414yes—
767C22×Dic79C2412yes—
768C22×Dic79C2412yes—
769C2×C4×D79—44no—
770C2×C4×D79C2412yes—
771C2×C4×D79C2412yes—
772C2×C4×D79C2414yes—
773C2×C4×D79C2414yes—
774C2×C4×D79C2414yes—
775C2×C4×D79C2414yes—
776C2×C4×D79C2414yes—
777C2×C4×D79C2414yes—
778C2×C4×D79C2414yes—
779C2×C4×D79C2414yes—
780C2×C4×D79C2412yes—
781C2×C4×D79C2414yes—
782C2×C4×D79C2412yes—
783C4⋊Dic79C2412yes—
784C4⋊Dic79C2412yes—
785C4⋊Dic79C2412yes—
786C4⋊Dic79C2412yes—
787C4⋊Dic79C2414yes—
788C4⋊Dic79C2414yes—
789C4⋊Dic79C2414yes—
790C4⋊Dic79C2414yes—
791C4⋊Dic79C2412yes—
792C4⋊Dic79C2414yes—
793C4⋊Dic79C2414yes—
794C4⋊Dic79C2414yes—
795C4⋊Dic79C2411yescharacteristic
796C4⋊Dic79C2412yes—
797C4⋊Dic79C2411yescharacteristic
798C4⋊Dic79C2412yes—
799C4⋊Dic79C2412yes—
800C4⋊Dic79C2411yescharacteristic
801C4⋊Dic79C2411yescharacteristic
802C4⋊Dic79C2414yes—
803Dic79⋊C4C2414yes—
804Dic79⋊C4C2412yes—
805Dic79⋊C4C2414yes—
806Dic79⋊C4C2414yes—
807Dic79⋊C4C2414yes—
808Dic79⋊C4C2414yes—
809Dic79⋊C4C2414yes—
810Dic79⋊C4C2414yes—
811Dic79⋊C4C2414yes—
812Dic79⋊C4C2414yes—
813Dic79⋊C4C2414yes—
814Dic79⋊C4C2414yes—
815Dic79⋊C4C2414yes—
816Dic79⋊C4C2412yes—
817Dic79⋊C4C2412yes—
818Dic79⋊C4C2412yes—
819Dic79⋊C4C2412yes—
820Dic79⋊C4C2414yes—
821Dic79⋊C4C2412yes—
822Dic79⋊C4C2412yes—
823Dic79⋊C4C2414yes—
824Dic79⋊C4C2412yes—
825Dic79⋊C4C2414yes—
826Dic79⋊C4C2414yes—
827Dic79⋊C4C2412yes—
828Dic79⋊C4C2412yes—
829Dic79⋊C4C2412yes—
830Dic79⋊C4C2412yes—
831C22⋊Dic79C2414yes—
832C22⋊Dic79C2414yes—
833C22⋊Dic79C2414yes—
834C22⋊Dic79C2414yes—
835C22⋊Dic79C2414yes—
836C22⋊Dic79C2412yes—
837C22⋊Dic79C2412yes—
838C22⋊Dic79C2414yes—
839C22⋊Dic79C2412yes—
840C22⋊Dic79C2412yes—
841C22⋊Dic79C2412yes—
842C22⋊Dic79C2412yes—
843C22⋊Dic79C2412yes—
844C22⋊Dic79C2414yes—
845C22⋊Dic79C2412yes—
846(C2×D79)⋊C4C2412yes—
847(C2×D79)⋊C4C2412yes—
848(C2×D79)⋊C4C2414yes—
849(C2×D79)⋊C4C2412yes—
850(C2×D79)⋊C4C2414yes—
851(C2×D79)⋊C4C2414yes—
852(C2×D79)⋊C4C2414yes—
853(C2×D79)⋊C4C2414yes—
854(C2×D79)⋊C4C2414yes—
855(C2×D79)⋊C4C2412yes—
856(C2×D79)⋊C4C2412yes—
857(C2×D79)⋊C4C2414yes—
858(C2×D79)⋊C4C2414yes—
859(C2×D79)⋊C4C2414yes—
860(C2×D79)⋊C4C2414yes—
861(C2×D79)⋊C4C2414yes—
862(C2×D79)⋊C4C2414yes—
863(C2×D79)⋊C4C2414yes—
864(C2×D79)⋊C4C2412yes—
865(C2×D79)⋊C4C2414yes—
866(C2×D79)⋊C4C2412yes—
867(C2×D79)⋊C4C2414yes—
868(C2×D79)⋊C4C2414yes—
869(C2×D79)⋊C4C2412yes—
870(C2×D79)⋊C4C2414yes—
871(C2×D79)⋊C4C2414yes—
872(C2×D79)⋊C4C2412yes—
873(C2×D79)⋊C4C2414yes—
874(C2×D79)⋊C4C2412yes—
875(C2×D79)⋊C4C2412yes—
876(C2×D79)⋊C4C2414yes—
877(C2×D79)⋊C4C2412yes—
878C4×Dic79C2412yes—
879C4×Dic79C2414yes—
880C4×Dic79C2414yes—
881C4×Dic79C2412yes—
882C4×Dic79C2414yes—
883C4×Dic79C2414yes—
884C4×Dic79C2414yes—
885C4×Dic79C2412yes—
886C4×Dic79C2412yes—
887C4×Dic79C2414yes—
888C4×Dic79C2414yes—
889C4×Dic79C2414yes—
890C4×Dic79C2414yes—
891#41×C79—42no—
892#41×C79—42no—
893#41×C79—42no—
894C2×Q8×C79C2411yescharacteristic
895C2×Q8×C79C2411yescharacteristic
896C2×Q8×C79C2411yescharacteristic
897C2×D4×C79C2411yescharacteristic
898C2×D4×C79C2412yes—
899C2×D4×C79C2414yes—
900C2×D4×C79C2412yes—
901C2×D4×C79C2412yes—
902C2×D4×C79C2412yes—
903C2×D4×C79C2411yescharacteristic
904C2×D4×C79C2411yescharacteristic
905C2×D4×C79C2414yes—
906C2×D4×C79C2412yes—
907C22×C4×C79C2412yes—
908C22×C4×C79C2412yes—
909C22×C4×C79C2411yescharacteristic
910C22×C4×C79C2414yes—
911C22×C4×C79C2412yes—
912C22×C4×C79C2411yescharacteristic
913C22×C4×C79C2412yes—
914C22×C4×C79C2411yescharacteristic
915C22×C4×C79C2412yes—
916C22×C4×C79C2412yes—
917C22×C4×C79C2412yes—
918C22×C4×C79C2414yes—
919C4⋊C4×C79C2411yescharacteristic
920C4⋊C4×C79C2411yescharacteristic
921C4⋊C4×C79C2412yes—
922C4⋊C4×C79C2412yes—
923C4⋊C4×C79C2414yes—
924C4⋊C4×C79C2414yes—
925C4⋊C4×C79C2412yes—
926C4⋊C4×C79C2412yes—
927C4⋊C4×C79C2414yes—
928C4⋊C4×C79C2414yes—
929C4⋊C4×C79C2414yes—
930C4⋊C4×C79C2414yes—
931C4⋊C4×C79C2412yes—
932C4⋊C4×C79C2412yes—
933C4⋊C4×C79C2414yes—
934C4⋊C4×C79C2414yes—
935C4⋊C4×C79C2412yes—
936C4⋊C4×C79C2412yes—
937C22⋊C4×C79C2412yes—
938C22⋊C4×C79C2412yes—
939C22⋊C4×C79C2412yes—
940C22⋊C4×C79C2412yes—
941C22⋊C4×C79C2412yes—
942C22⋊C4×C79C2414yes—
943C22⋊C4×C79C2414yes—
944C22⋊C4×C79C2414yes—
945C22⋊C4×C79C2414yes—
946C22⋊C4×C79C2412yes—
947C22⋊C4×C79C2412yes—
948C22⋊C4×C79C2414yes—
949C22⋊C4×C79C2414yes—
950C42×C79C2411yescharacteristic
951C42×C79C2412yes—
952C42×C79C2412yes—
953C42×C79C2412yes—
954C42×C79C2411yescharacteristic
955C42×C79C2411yescharacteristic
956C42×C79C2411yescharacteristic
957C42×C79C2414yes—
958C42×C79C2414yes—
959C23×C79C2512yes—
960C23×C79C2511yescharacteristic
961C23×C79C2512yes—
962C23×C79C2512yes—
963C22×D79—42no—
964C22×D79—42no—
965C22×D79—42no—
966C22×D79—44no—
967C22×D79—44no—
968C22×D79—44no—
969C22×D79C2512yes—
970C22×D79C2514yes—
971C22×D79C2512yes—
972Q8×C79—22no—
973Q8×C79—41no—
974Q8×C79—41no—
975D4×C79—22no—
976D4×C79—44no—
977D4×C79—42no—
978D4×C79—44no—
979D4×C79—42no—
980D4×C79—41no—
981D4×C79—41no—
982D4×C79—42no—
983D4×C79—42no—
984D4×C79—42no—
985C2×C4×C79—24no—
986C2×C4×C79—24no—
987C2×C4×C79—22no—
988C2×C4×C79—42no—
989C2×C4×C79—44no—
990C2×C4×C79—41no—
991C2×C4×C79—42no—
992C2×C4×C79—42no—
993C2×C4×C79—41no—
994C2×C4×C79—44no—
995C2×C4×C79—42no—
996C2×C4×C79—42no—
997C2×C4×C79C2512yes—
998C2×C4×C79C2511yescharacteristic
999C2×C4×C79C2514yes—
1000C2×C4×C79C2512yes—
1001C2×C4×C79C2512yes—
1002C2×C4×C79C2514yes—
1003C2×C4×C79C2511yescharacteristic
1004C2×C4×C79C2511yescharacteristic
1005C2×C4×C79C2512yes—
1006C2×C4×C79C2511yescharacteristic
1007C2×C4×C79C2512yes—
1008C2×C4×C79C2511yescharacteristic
1009C2×C4×C79C2511yescharacteristic
1010C22⋊D79—44no—
1011C22⋊D79—44no—
1012C22⋊D79—44no—
1013C22⋊D79—42no—
1014C22⋊D79—42no—
1015C22⋊D79—42no—
1016C22⋊D79—42no—
1017C22⋊D79—44no—
1018C22⋊D79—42no—
1019C22⋊D79—44no—
1020C22⋊D79—44no—
1021C22⋊D79—42no—
1022C22⋊D79—42no—
1023C22⋊D79—42no—
1024C22⋊D79—44no—
1025C2×Dic79—42no—
1026C2×Dic79—42no—
1027C2×Dic79—42no—
1028C2×Dic79—44no—
1029C2×Dic79—44no—
1030C2×Dic79—44no—
1031C2×Dic79C2512yes—
1032C2×Dic79C2512yes—
1033C2×Dic79C2512yes—
1034C2×Dic79C2512yes—
1035C2×Dic79C2512yes—
1036C2×Dic79C2514yes—
1037C2×Dic79C2514yes—
1038C2×Dic79C2512yes—
1039C2×Dic79C2514yes—
1040D316—24no—
1041D316—44no—
1042D316—41no—
1043D316—44no—
1044D316—42no—
1045D316—41no—
1046D316—44no—
1047D316—42no—
1048D316—42no—
1049C4×D79—24no—
1050C4×D79—24no—
1051C4×D79—42no—
1052C4×D79—42no—
1053C4×D79—44no—
1054C4×D79—44no—
1055C4×D79—44no—
1056C4×D79—44no—
1057C4×D79—44no—
1058C4×D79—44no—
1059C4×D79—44no—
1060C4×D79—44no—
1061C4×D79—44no—
1062Dic158—24no—
1063Dic158—44no—
1064Dic158—41no—
1065Dic158—44no—
1066Dic158—44no—
1067Dic158—44no—
1068Dic158—44no—
1069Dic158—42no—
1070Dic158—41no—
1071Dic158—42no—
1072Dic158—42no—
1073C22×C79—22no—
1074C22×C79—22no—
1075C22×C79—22no—
1076C22×C79—21no—
1077C22×C79—21no—
1078C22×C79—22no—
1079C22×C79—22no—
1080C22×C79—22no—
1081C22×C79—21no—
1082C22×C79—22no—
1083C22×C79—22no—
1084C22×C79—22no—
1085C22×C79C2611yescharacteristic
1086C2×D79—24no—
1087C2×D79—22no—
1088C2×D79—22no—
1089C2×D79—22no—
1090C2×D79—24no—
1091C2×D79—22no—
1092C2×D79—22no—
1093C2×D79—22no—
1094C2×D79—24no—
1095C2×D79—84no—
1096C2×D79—164no—
1097C4×C79—21no—
1098C4×C79—22no—
1099C4×C79—22no—
1100C4×C79—22no—
1101C4×C79—22no—
1102C4×C79—21no—
1103C4×C79—24no—
1104C4×C79—21no—
1105C4×C79—21no—
1106C4×C79—22no—
1107C4×C79—24no—
1108C4×C79—21no—
1109C4×C79#58512yes—
1110Dic79—22no—
1111Dic79—24no—
1112Dic79—22no—
1113Dic79—24no—
1114Dic79—22no—
1115Dic79—22no—
1116Dic79—24no—
1117Dic79—22no—
1118Dic79—22no—
1119#63065—791nomaximal, Sylow
1120C2×C79—42no—
1121C2×C79—42no—
1122C2×C79—42no—
1123C2×C79—41no—
1124C2×C79C2×#58511yescharacteristic
1125C2×C79H(7,𝔽2)11yescharacteristic
1126C2×C792−1+611yescharacteristic
1127D79—42no—
1128D79—42no—
1129D79—44no—
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#3548—791no—
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#3512D7911yescharacteristic, complemented
1155#3511—792no—
1156#3495—792no—
1157#3494—792no—
1158#3493—792no—
1159C79#6306511yescharacteristic, complemented, Sylow
1160#564—792no—
1161#563—792no—
1162#563—794no—
1163#563—794no—
1164#563—794no—
1165#563—792no—
1166#563—792no—
1167#563—794no—
1168#563—791no—
1169#563—794no—
1170#563—794no—
1171#562—792no—
1172#562—791no—
1173#562—791no—
1174#562—792no—
1175#562—792no—
1176#562—794no—
1177#562—794no—
1178#562—792no—
1179#562—792no—
1180#562—794no—
1181#562—794no—
1182H(3,𝔽4)—791no—
1183#560—792no—
1184#560—792no—
1185#560—794no—
1186#560—792no—
1187#560—794no—
1188#559—794no—
1189#559—791no—
1190Q82—791no—
1191#557—792no—
1192#556—791no—
1193#556—794no—
1194#556—791no—
1195#556—792no—
1196#556—792no—
1197#556—792no—
1198#556—792no—
1199#556—794no—
1200#555—794no—
1201#555—791no—
1202#555—794no—
1203#555—792no—
1204#555—792no—
1205#555—792no—
1206#555—792no—
1207#555—794no—
1208#554—792no—
1209#554—792no—
1210#554—794no—
1211#554—792no—
1212#554—792no—
1213#554—792no—
1214#554—792no—
1215#553—794no—
1216#553—792no—
1217#553—794no—
1218#553—792no—
1219#553—794no—
1220#553—794no—
1221#553—794no—
1222#553—794no—
1223#553—792no—
1224#553—792no—
1225#553C2×D7912yescomplemented
1226#553C2×D7912yescomplemented
1227#553C2×D7914yescomplemented
1228#553C2×D7914yescomplemented
1229#552—794no—
1230#552—794no—
1231#552—794no—
1232#552—792no—
1233#552—794no—
1234#552—792no—
1235#552—794no—
1236#552—794no—
1237#552—792no—
1238#552—792no—
1239#552—794no—
1240#552C2×D7912yescomplemented
1241#552C2×D7912yescomplemented
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#550—792no—
1252#550—792no—
1253D4×Q8—791no—
1254D4×Q8—791no—
1255D4×Q8—794no—
1256#548—792no—
1257#548—792no—
1258#548—792no—
1259#548—794no—
1260#548—794no—
1261#548—794no—
1262#548—792no—
1263#547—794no—
1264#547—792no—
1265#547—792no—
1266#547—792no—
1267#547—792no—
1268#547—792no—
1269#547—794no—
1270#546—792no—
1271#546—794no—
1272#546—794no—
1273#546—792no—
1274#546—792no—
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—792no—
1291#542—792no—
1292#542—794no—
1293#542—792no—
1294#542—794no—
1295#542—792no—
1296#542—794no—
1297#542—794no—
1298#541—794no—
1299#541—794no—
1300#541—794no—
1301#541—792no—
1302#541C2×D7912yescomplemented
1303#540—792no—
1304#540—794no—
1305#540—794no—
1306#540—794no—
1307#540—794no—
1308#540—794no—
1309#540—794no—
1310#540C2×D7912yescomplemented
1311#539—794no—
1312#539—794no—
1313#539—794no—
1314#539—794no—
1315#539—794no—
1316#539—794no—
1317#539—792no—
1318#539—792no—
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—792no—
1331#537—794no—
1332#537—794no—
1333#537—792no—
1334#537—792no—
1335#537C2×D7911yescharacteristic
1336#537C2×D7911yescharacteristic, complemented
1337#536—794no—
1338#536—794no—
1339#536—792no—
1340#536—794no—
1341#535—792no—
1342#535—794no—
1343#534—794no—
1344#533—794no—
1345#533—794no—
1346#533—792no—
1347#533—791no—
1348#532—792no—
1349#532—794no—
1350#532—794no—
1351#532—791no—
1352#532C2×D7911yescharacteristic, complemented
1353C2×C4⋊Q8—792no—
1354#529—794no—
1355#529—794no—
1356#529—792no—
1357#529—792no—
1358#529—794no—
1359#529—794no—
1360#529—794no—
1361#529—792no—
1362#529—794no—
1363#529—792no—
1364#529—794no—
1365#529—791no—
1366#529—792no—
1367#529—791no—
1368#529—792no—
1369#529C2×D7912yescomplemented
1370#529C2×D7912yescomplemented
1371C2×#126—794no—
1372C2×#125C2×D7911yescharacteristic, complemented
1373C2×#124—792no—
1374#525—792no—
1375#525—792no—
1376#525—792no—
1377#525—792no—
1378C2×C22⋊Q8—792no—
1379C2×#121—792no—
1380#520—792no—
1381#520—792no—
1382#520C2×D7911yescharacteristic, complemented
1383#520C2×D7911yescharacteristic, complemented
1384#519—792no—
1385#518—792no—
1386C4×#41—792no—
1387C4×#41C2×D7911yescharacteristic, complemented
1388C2×#117—792no—
1389C2×#41—794no—
1390C2×#41—794no—
1391C2×#41—792no—
1392C2×#41—792no—
1393C2×#41—792no—
1394C2×#41—794no—
1395C2×#41—794no—
1396C2×#41—792no—
1397C2×#41C22×D7911yescharacteristic
1398C2×#41C22×D7911yescharacteristic
1399C2×#41C22×D7911yescharacteristic
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—792no—
1411C4⋊Q8—792no—
1412C4⋊Q8—792no—
1413C4⋊Q8—792no—
1414C4⋊Q8—794no—
1415C4⋊Q8—794no—
1416C4⋊Q8—794no—
1417C4⋊Q8—794no—
1418C4⋊Q8—794no—
1419C4⋊Q8—791no—
1420C4⋊Q8—792no—
1421C4⋊Q8—791no—
1422C4⋊Q8—792no—
1423C4⋊Q8—791no—
1424C4⋊Q8—794no—
1425C4⋊Q8C22×D7911yescharacteristic
1426#127—792no—
1427#127—794no—
1428#127—794no—
1429#127—791no—
1430#127C22×D7911yescharacteristic
1431#126—792no—
1432#126—794no—
1433#126—794no—
1434#126—792no—
1435#126—794no—
1436#126—794no—
1437#126—794no—
1438#126—794no—
1439#126—794no—
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—792no—
1459#126—792no—
1460#126—794no—
1461#126C22×D7914yes—
1462#126C22×D7914yes—
1463#126C22×D7914yes—
1464#126C22×D7914yes—
1465#125—794no—
1466#125—794no—
1467#125—794no—
1468#125—794no—
1469#125—794no—
1470#125—794no—
1471#125—792no—
1472#125—792no—
1473#125—792no—
1474#125—792no—
1475#125—794no—
1476#125—794no—
1477#125—794no—
1478#125—794no—
1479#125—794no—
1480#125—794no—
1481#125—794no—
1482#125—794no—
1483#125—791no—
1484#125—792no—
1485#125—791no—
1486#125—794no—
1487#125C22×D7912yes—
1488#125C22×D7912yes—
1489#125C22×D7912yes—
1490#125C22×D7912yes—
1491#125C22×D7914yes—
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—794no—
1504#124—794no—
1505#124—792no—
1506#124—794no—
1507#124—794no—
1508#124—794no—
1509#124—794no—
1510#124—794no—
1511#124—794no—
1512#124—794no—
1513#124—794no—
1514#124—791no—
1515#124—792no—
1516#124—794no—
1517#124—794no—
1518#124—792no—
1519#124—792no—
1520#124—791no—
1521#124—794no—
1522#124—794no—
1523#124C22×D7911yescharacteristic
1524#124C22×D7911yescharacteristic
1525#123—792no—
1526#123—792no—
1527#123—792no—
1528#123—794no—
1529#123—794no—
1530#123—792no—
1531#123—794no—
1532#123—794no—
1533#123—794no—
1534#123—792no—
1535#123—794no—
1536#123—792no—
1537#123—794no—
1538#123—794no—
1539#123—794no—
1540#123—792no—
1541#123—792no—
1542#123—794no—
1543#123—794no—
1544#123—794no—
1545#123—794no—
1546#123—794no—
1547#123—794no—
1548#123—794no—
1549#123—794no—
1550#123—794no—
1551#123—794no—
1552#123—794no—
1553#123—794no—
1554#123—792no—
1555#123—792no—
1556#123—794no—
1557#123—792no—
1558#123—794no—
1559#123—794no—
1560#123—792no—
1561#123—794no—
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—794no—
1578C22⋊Q8—794no—
1579C22⋊Q8—792no—
1580C22⋊Q8—792no—
1581C22⋊Q8—792no—
1582C22⋊Q8—792no—
1583C22⋊Q8—791no—
1584C22⋊Q8—791no—
1585C22⋊Q8—792no—
1586C22⋊Q8—792no—
1587C22⋊Q8—794no—
1588C22⋊Q8—794no—
1589C22⋊Q8—794no—
1590C22⋊Q8—794no—
1591C22⋊Q8—792no—
1592C22⋊Q8—794no—
1593C22⋊Q8—792no—
1594C22⋊Q8—792no—
1595C22⋊Q8—792no—
1596C22⋊Q8—792no—
1597C22⋊Q8—794no—
1598C22⋊Q8—794no—
1599C22⋊Q8—794no—
1600C22⋊Q8—794no—
1601C22⋊Q8—794no—
1602C22⋊Q8—794no—
1603C22⋊Q8—794no—
1604C22⋊Q8—794no—
1605C22⋊Q8—794no—
1606C22⋊Q8—794no—
1607C22⋊Q8—794no—
1608C22⋊Q8—794no—
1609C22⋊Q8—794no—
1610C22⋊Q8—794no—
1611C22⋊Q8—794no—
1612C22⋊Q8—794no—
1613C22⋊Q8—794no—
1614C22⋊Q8—794no—
1615C22⋊Q8—794no—
1616C22⋊Q8—794no—
1617C22⋊Q8—792no—
1618C22⋊Q8—792no—
1619C22⋊Q8—794no—
1620C22⋊Q8—794no—
1621C22⋊Q8—792no—
1622C22⋊Q8—792no—
1623C22⋊Q8—794no—
1624C22⋊Q8—794no—
1625C22⋊Q8—794no—
1626C22⋊Q8—794no—
1627C22⋊Q8—794no—
1628C22⋊Q8—794no—
1629C22⋊Q8C22×D7912yes—
1630C22⋊Q8C22×D7912yes—
1631C22⋊Q8C22×D7912yes—
1632C22⋊Q8C22×D7912yes—
1633#121—794no—
1634#121—792no—
1635#121—792no—
1636#121—792no—
1637#121—792no—
1638#121—792no—
1639#121—794no—
1640#121—794no—
1641#121—794no—
1642#121—792no—
1643#121—792no—
1644#121—794no—
1645#121—792no—
1646#121—792no—
1647#121—792no—
1648#121—792no—
1649#121—794no—
1650#121—794no—
1651#121—794no—
1652#121—794no—
1653#121—794no—
1654#121—794no—
1655#121—794no—
1656#121—794no—
1657#121—792no—
1658#121—792no—
1659#121—791no—
1660#121—791no—
1661#121—792no—
1662#121—792no—
1663#121—792no—
1664#121—792no—
1665#121—794no—
1666#121—794no—
1667#121—794no—
1668#121—794no—
1669#121—792no—
1670#121—792no—
1671#121—792no—
1672#121—794no—
1673#121—794no—
1674#121—794no—
1675#121—794no—
1676#121—794no—
1677#121—792no—
1678#121—792no—
1679#121—794no—
1680#121—794no—
1681#121—794no—
1682#121—794no—
1683#121—794no—
1684#121—794no—
1685#121—794no—
1686#121C22×D7912yes—
1687#121C22×D7912yes—
1688#121C22×D7912yes—
1689#121C22×D7912yes—
1690#121C22×D7914yes—
1691#121C22×D7912yes—
1692#121C22×D7912yes—
1693#121C22×D7914yes—
1694#121C22×D7914yes—
1695#121C22×D7914yes—
1696#120—792no—
1697#120—792no—
1698#120—792no—
1699#120—792no—
1700#120—794no—
1701#120—794no—
1702#120—794no—
1703#120—794no—
1704#120—792no—
1705#120—794no—
1706#120—792no—
1707#120—794no—
1708#120—794no—
1709C4×Q8—792no—
1710C4×Q8—792no—
1711C4×Q8—792no—
1712C4×Q8—794no—
1713C4×Q8—792no—
1714C4×Q8—794no—
1715C4×Q8—794no—
1716C4×Q8—792no—
1717C4×Q8—794no—
1718C4×Q8—791no—
1719C4×Q8—791no—
1720C4×Q8—792no—
1721C4×Q8—794no—
1722C4×Q8—794no—
1723C4×Q8—794no—
1724C4×Q8—792no—
1725C4×Q8—792no—
1726C4×Q8C22×D7911yescharacteristic
1727C4×Q8C22×D7911yescharacteristic
1728C4×Q8C22×D7912yes—
1729C4×Q8C22×D7912yes—
1730C4×D4—792no—
1731C4×D4—794no—
1732C4×D4—794no—
1733C4×D4—794no—
1734C4×D4—794no—
1735C4×D4—794no—
1736C4×D4—794no—
1737C4×D4—792no—
1738C4×D4—792no—
1739C4×D4—792no—
1740C4×D4—792no—
1741C4×D4—792no—
1742C4×D4—792no—
1743C4×D4—794no—
1744C4×D4—794no—
1745C4×D4—794no—
1746C4×D4—794no—
1747C4×D4—794no—
1748C4×D4—792no—
1749C4×D4—792no—
1750C4×D4—792no—
1751C4×D4—794no—
1752C4×D4—794no—
1753C4×D4—794no—
1754C4×D4—794no—
1755C4×D4—794no—
1756C4×D4—794no—
1757C4×D4—794no—
1758C4×D4—794no—
1759C4×D4—794no—
1760C4×D4—794no—
1761C4×D4—794no—
1762C4×D4—792no—
1763C4×D4—794no—
1764C4×D4—791no—
1765C4×D4—791no—
1766C4×D4—794no—
1767C4×D4—794no—
1768C4×D4—792no—
1769C4×D4—792no—
1770C4×D4—792no—
1771C4×D4C22×D7911yescharacteristic
1772C4×D4C22×D7912yes—
1773C4×D4C22×D7911yescharacteristic
1774C4×D4C22×D7912yes—
1775C4×D4C22×D7912yes—
1776C4×D4C22×D7914yes—
1777C4×D4C22×D7912yes—
1778C4×D4C22×D7914yes—
1779C4×D4C22×D7912yes—
1780C4×D4C22×D7912yes—
1781C4×D4C22×D7914yes—
1782C4×D4C22×D7914yes—
1783#117—792no—
1784#117—792no—
1785#117—792no—
1786#117—794no—
1787#117—794no—
1788#117—792no—
1789#117—792no—
1790#117—792no—
1791#117—792no—
1792#117—792no—
1793#117—794no—
1794#117—794no—
1795#117—794no—
1796#117—794no—
1797#117—794no—
1798#117—794no—
1799#117—794no—
1800#117—794no—
1801#117—794no—
1802#117—792no—
1803#117—792no—
1804#117—794no—
1805#117—794no—
1806#117—794no—
1807#117—794no—
1808#117C22×D7912yes—
1809#117C22×D7911yescharacteristic
1810#117C22×D7912yes—
1811#117C22×D7912yes—
1812#117C22×D7914yes—
1813#117C22×D7914yes—
1814C2×C4⋊C4—792no—
1815C2×C4⋊C4—792no—
1816C2×C4⋊C4—794no—
1817C2×C4⋊C4—792no—
1818C2×C4⋊C4—792no—
1819C2×C4⋊C4—794no—
1820C2×C4⋊C4—794no—
1821C2×C4⋊C4—794no—
1822C2×C4⋊C4—794no—
1823C2×C4⋊C4C22×D7912yes—
1824C2×C4⋊C4C22×D7911yescharacteristic
1825C2×C4⋊C4C22×D7911yescharacteristic
1826C2×C4⋊C4C22×D7912yes—
1827C2×C4⋊C4C22×D7912yes—
1828C2×C4⋊C4C22×D7912yes—
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—792no—
1839C2×C42—794no—
1840C2×C42C22×D7912yes—
1841C2×C42C22×D7911yescharacteristic
1842C24—794no—
1843C24—792no—
1844#41—42no—
1845#41—42no—
1846#41—42no—
1847#41—3164no—
1848#41—3164no—
1849#41—3164no—
1850#41—6324no—
1851#41—6322no—
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—792no—
1861C2×Q8—794no—
1862C2×Q8—794no—
1863C2×Q8—792no—
1864C2×Q8—791no—
1865C2×Q8—794no—
1866C2×Q8—792no—
1867C2×Q8—6322no—
1868C2×Q8—6324no—
1869C2×Q8C23×D7911yescharacteristic
1870C2×Q8C23×D7911yescharacteristic
1871C2×Q8C23×D7911yescharacteristic
1872C2×D4—3164no—
1873C2×D4—792no—
1874C2×D4—792no—
1875C2×D4—792no—
1876C2×D4—792no—
1877C2×D4—794no—
1878C2×D4—794no—
1879C2×D4—794no—
1880C2×D4—792no—
1881C2×D4—792no—
1882C2×D4—792no—
1883C2×D4—794no—
1884C2×D4—792no—
1885C2×D4—794no—
1886C2×D4—794no—
1887C2×D4—794no—
1888C2×D4—791no—
1889C2×D4—794no—
1890C2×D4—792no—
1891C2×D4—792no—
1892C2×D4—794no—
1893C2×D4—791no—
1894C2×D4—794no—
1895C2×D4—792no—
1896C2×D4—792no—
1897C2×D4—6322no—
1898C2×D4—6324no—
1899C2×D4C23×D7911yescharacteristic
1900C2×D4C23×D7914yes—
1901C2×D4C23×D7912yes—
1902C2×D4C23×D7912yes—
1903C2×D4C23×D7911yescharacteristic
1904C2×D4C23×D7912yes—
1905C2×D4C23×D7911yescharacteristic
1906C2×D4C23×D7912yes—
1907C2×D4C23×D7912yes—
1908C2×D4C23×D7914yes—
1909C22×C4—3164no—
1910C22×C4—792no—
1911C22×C4—794no—
1912C22×C4—792no—
1913C22×C4—792no—
1914C22×C4—794no—
1915C22×C4—794no—
1916C22×C4—794no—
1917C22×C4—794no—
1918C22×C4—794no—
1919C22×C4—792no—
1920C22×C4—794no—
1921C22×C4—794no—
1922C22×C4—794no—
1923C22×C4—794no—
1924C22×C4—794no—
1925C22×C4—794no—
1926C22×C4—792no—
1927C22×C4—792no—
1928C22×C4—792no—
1929C22×C4C23×D7912yes—
1930C22×C4C23×D7911yescharacteristic
1931C22×C4C23×D7912yes—
1932C22×C4C23×D7914yes—
1933C22×C4C23×D7912yes—
1934C22×C4C23×D7912yes—
1935C22×C4C23×D7911yescharacteristic
1936C22×C4C23×D7911yescharacteristic
1937C22×C4C23×D7912yes—
1938C22×C4C23×D7914yes—
1939C22×C4C23×D7912yes—
1940C22×C4C23×D7912yes—
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—792no—
1954C4⋊C4—792no—
1955C4⋊C4—794no—
1956C4⋊C4—792no—
1957C4⋊C4—792no—
1958C4⋊C4—792no—
1959C4⋊C4—794no—
1960C4⋊C4—794no—
1961C4⋊C4—792no—
1962C4⋊C4—792no—
1963C4⋊C4—794no—
1964C4⋊C4—794no—
1965C4⋊C4—792no—
1966C4⋊C4—792no—
1967C4⋊C4—792no—
1968C4⋊C4—792no—
1969C4⋊C4—792no—
1970C4⋊C4—792no—
1971C4⋊C4—792no—
1972C4⋊C4—792no—
1973C4⋊C4—794no—
1974C4⋊C4—794no—
1975C4⋊C4—794no—
1976C4⋊C4—794no—
1977C4⋊C4—792no—
1978C4⋊C4—794no—
1979C4⋊C4—794no—
1980C4⋊C4—791no—
1981C4⋊C4—792no—
1982C4⋊C4—791no—
1983C4⋊C4—792no—
1984C4⋊C4—794no—
1985C4⋊C4—792no—
1986C4⋊C4—791no—
1987C4⋊C4—791no—
1988C4⋊C4—794no—
1989C4⋊C4C23×D7912yes—
1990C4⋊C4C23×D7912yes—
1991C4⋊C4C23×D7914yes—
1992C4⋊C4C23×D7914yes—
1993C4⋊C4C23×D7914yes—
1994C4⋊C4C23×D7911yescharacteristic
1995C4⋊C4C23×D7912yes—
1996C4⋊C4C23×D7911yescharacteristic
1997C4⋊C4C23×D7914yes—
1998C4⋊C4C23×D7914yes—
1999C4⋊C4C23×D7914yes—
2000C4⋊C4C23×D7914yes—
2001C4⋊C4C23×D7912yes—
2002C4⋊C4C23×D7912yes—
2003C4⋊C4C23×D7912yes—
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—794no—
2014C22⋊C4—792no—
2015C22⋊C4—792no—
2016C22⋊C4—792no—
2017C22⋊C4—792no—
2018C22⋊C4—792no—
2019C22⋊C4—794no—
2020C22⋊C4—792no—
2021C22⋊C4—792no—
2022C22⋊C4—794no—
2023C22⋊C4—792no—
2024C22⋊C4—792no—
2025C22⋊C4—794no—
2026C22⋊C4—792no—
2027C22⋊C4—792no—
2028C22⋊C4—792no—
2029C22⋊C4—794no—
2030C22⋊C4—794no—
2031C22⋊C4—794no—
2032C22⋊C4—794no—
2033C22⋊C4—794no—
2034C22⋊C4—794no—
2035C22⋊C4—794no—
2036C22⋊C4—794no—
2037C22⋊C4—794no—
2038C22⋊C4—794no—
2039C22⋊C4—794no—
2040C22⋊C4—792no—
2041C22⋊C4—792no—
2042C22⋊C4—792no—
2043C22⋊C4—794no—
2044C22⋊C4—794no—
2045C22⋊C4—794no—
2046C22⋊C4—794no—
2047C22⋊C4—794no—
2048C22⋊C4—792no—
2049C22⋊C4—792no—
2050C22⋊C4—792no—
2051C22⋊C4—792no—
2052C22⋊C4—794no—
2053C22⋊C4—794no—
2054C22⋊C4C23×D7912yes—
2055C22⋊C4C23×D7914yes—
2056C22⋊C4C23×D7914yes—
2057C22⋊C4C23×D7914yes—
2058C22⋊C4C23×D7914yes—
2059C22⋊C4C23×D7912yes—
2060C22⋊C4C23×D7912yes—
2061C22⋊C4C23×D7914yes—
2062C22⋊C4C23×D7912yes—
2063C22⋊C4C23×D7912yes—
2064C22⋊C4C23×D7914yes—
2065C22⋊C4C23×D7912yes—
2066C22⋊C4C23×D7912yes—
2067C42—792no—
2068C42—792no—
2069C42—794no—
2070C42—794no—
2071C42—794no—
2072C42—794no—
2073C42—792no—
2074C42—792no—
2075C42—794no—
2076C42—794no—
2077C42—794no—
2078C42—794no—
2079C42—794no—
2080C42C23×D7914yes—
2081C42C23×D7911yescharacteristic
2082C42C23×D7912yes—
2083C42C23×D7912yes—
2084C42C23×D7911yescharacteristic
2085C42C23×D7911yescharacteristic
2086C42C23×D7911yescharacteristic
2087C42C23×D7912yes—
2088C42C23×D7914yes—
2089C23—3162no—
2090C23—3162no—
2091C23—3162no—
2092C23—3164no—
2093C23—3164no—
2094C23—3164no—
2095C23—792no—
2096C23—792no—
2097C23—794no—
2098C23C24×D7912yes—
2099C23C24×D7911yescharacteristic
2100C23C24×D7912yes—
2101C23C24×D7912yes—
2102Q8—22no—
2103Q8—41no—
2104Q8—41no—
2105Q8—3164no—
2106Q8—3161no—
2107Q8—3164no—
2108Q8—3162no—
2109Q8—3164no—
2110Q8—3164no—
2111Q8—3164no—
2112Q8—3162no—
2113Q8—3162no—
2114Q8—3161no—
2115Q8—1584no—
2116D4—22no—
2117D4—44no—
2118D4—44no—
2119D4—42no—
2120D4—41no—
2121D4—41no—
2122D4—42no—
2123D4—42no—
2124D4—42no—
2125D4—42no—
2126D4—3161no—
2127D4—3162no—
2128D4—3164no—
2129D4—3164no—
2130D4—3162no—
2131D4—3161no—
2132D4—3164no—
2133D4—3162no—
2134D4—3164no—
2135D4—3162no—
2136D4—3162no—
2137D4—3162no—
2138D4—3164no—
2139D4—3164no—
2140D4—3164no—
2141D4—3164no—
2142D4—3162no—
2143D4—3162no—
2144D4—3164no—
2145D4—3164no—
2146D4—3162no—
2147D4—3162no—
2148D4—3162no—
2149D4—1584no—
2150C2×C4—24no—
2151C2×C4—22no—
2152C2×C4—24no—
2153C2×C4—42no—
2154C2×C4—44no—
2155C2×C4—41no—
2156C2×C4—42no—
2157C2×C4—42no—
2158C2×C4—44no—
2159C2×C4—42no—
2160C2×C4—41no—
2161C2×C4—42no—
2162C2×C4—3162no—
2163C2×C4—3162no—
2164C2×C4—3164no—
2165C2×C4—3164no—
2166C2×C4—3164no—
2167C2×C4—3164no—
2168C2×C4—3164no—
2169C2×C4—3164no—
2170C2×C4—3164no—
2171C2×C4—3164no—
2172C2×C4—3164no—
2173C2×C4—3162no—
2174C2×C4—3162no—
2175C2×C4—3164no—
2176C2×C4—3164no—
2177C2×C4—3164no—
2178C2×C4—3162no—
2179C2×C4—792no—
2180C2×C4—792no—
2181C2×C4—792no—
2182C2×C4—792no—
2183C2×C4—794no—
2184C2×C4—792no—
2185C2×C4—792no—
2186C2×C4—794no—
2187C2×C4—794no—
2188C2×C4—1584no—
2189C2×C4—1584no—
2190C2×C4C24×D7912yes—
2191C2×C4C24×D7911yescharacteristic
2192C2×C4C24×D7914yes—
2193C2×C4C24×D7912yes—
2194C2×C4C24×D7912yes—
2195C2×C4C24×D7914yes—
2196C2×C4C24×D7911yescharacteristic
2197C2×C4C24×D7911yescharacteristic
2198C2×C4C24×D7912yes—
2199C2×C4C24×D7911yescharacteristic
2200C2×C4C24×D7912yes—
2201C2×C4C24×D7911yescharacteristic
2202C2×C4C24×D7911yescharacteristic
2203C22—22no—
2204C22—21no—
2205C22—22no—
2206C22—22no—
2207C22—21no—
2208C22—22no—
2209C22—22no—
2210C22—22no—
2211C22—21no—
2212C22—22no—
2213C22—22no—
2214C22—22no—
2215C22—6324no—
2216C22—1582no—
2217C22—1584no—
2218C22—1582no—
2219C22—1582no—
2220C22—1584no—
2221C22—1582no—
2222C22—1584no—
2223C22—1582no—
2224C22—1582no—
2225C22—12644no—
2226C22C25×D7911yescharacteristic
2227C4—21no—
2228C4—22no—
2229C4—22no—
2230C4—22no—
2231C4—21no—
2232C4—22no—
2233C4—24no—
2234C4—21no—
2235C4—22no—
2236C4—21no—
2237C4—24no—
2238C4—21no—
2239C4—1584no—
2240C4—1582no—
2241C4—1582no—
2242C4—1584no—
2243C4—1584no—
2244C4—1582no—
2245C4—1582no—
2246C4—1582no—
2247C4—1582no—
2248C4#1909939912yes—
2249C2—42no—
2250C2—42no—
2251C2—41no—
2252C2—42no—
2253C2—3162no—
2254C2—3162no—
2255C2—3164no—
2256C2C2×#1909939911yescharacteristic
2257C2#2377821111yescharacteristic
2258C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3512C2
hypercenter#3512D79
hypocenterC79#63065
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3512

Complements

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

NH ≅ G/Ntype
1. #23778088C2semidirect
2. #23778053C2semidirect
3. #23778013C2semidirect
4. #23778006C2semidirect
5. #23777979C2semidirect
6. #23777970C2semidirect
7. #23777939C2semidirect
8. #23777934C2semidirect
9. #23777839C2semidirect
10. #23777826C2semidirect
11. #23777818C2semidirect
12. #23777798C2semidirect
13. #23777784C2semidirect
14. #23777752C2semidirect
15. #23777742C2semidirect
16. #23777719C2semidirect
17. #23777696C2semidirect
18. #23777618C2semidirect
19. #23777545C2semidirect
20. #23777536C2semidirect
21. #23777506C2semidirect
22. #23777463C2semidirect
23. #23777417C2semidirect
24. #23777361C2semidirect
25. #23777303C2semidirect
26. #23777141C2semidirect
27. #23777131C2semidirect
28. #23777113C2semidirect
29. C79×#3512C2semidirect
30. C79⋊#564C22semidirect
32. #19099317C22semidirect
33. #19099317C22semidirect
34. #19099316C22semidirect
35. #19099315C22semidirect
36. #19099315C22semidirect
37. #19099315C22semidirect
38. #19099314C22semidirect
39. #19099313C22semidirect
40. #19099312C22semidirect
41. #19099311C22semidirect
42. #19099310C22semidirect
43. #19099310C22semidirect
44. #19099308C22semidirect
45. #19099308C22semidirect
46. #19099308C22semidirect
47. #19099308C22semidirect
49. #19099307C22semidirect
50. #19099307C22semidirect
51. #19099307C22semidirect
55. #19099301C22semidirect
56. #19099301C22semidirect
57. #19099300C22semidirect
58. #19099298C22semidirect
59. #19099297C22semidirect
60. Q8×Dic158C22semidirect
61. #19099290C22semidirect
63. #19099286C22semidirect
64. #19099283C22semidirect
65. #19099283C22semidirect
66. #19099281C22semidirect
67. #19099281C22semidirect
68. #19099281C22semidirect
69. #19099281C22semidirect
71. #19099278C22semidirect
72. #19099278C22semidirect
73. #19099277C22semidirect
75. #19099276C22semidirect
76. #19099276C22semidirect
77. #19099276C22semidirect
78. #19099274C22semidirect
79. #19099271C22semidirect
80. #19099270C22semidirect
81. #19099269C22semidirect
82. #19099269C22semidirect
83. #19099268C22semidirect
84. #19099268C22semidirect
85. #19099266C22semidirect
86. #19099265C22semidirect
87. #19099264C22semidirect
88. #19099263C22semidirect
89. #19099262C22semidirect
90. #19099262C22semidirect
91. #19099261C22semidirect
92. #19099261C22semidirect
93. #19099260C22semidirect
94. #19099257C22semidirect
95. #19099255C22semidirect
96. #19099254C22semidirect
98. #19099251C22semidirect
99. #19099249C22semidirect
100. #19099249C22semidirect
101. #19099248C22semidirect
102. #19099248C22semidirect
103. #19099248C22semidirect
104. #19099246C22semidirect
105. #19099245C22semidirect
106. #19099242C22semidirect
107. #19099240C22semidirect
108. #19099238C22semidirect
109. #19099238C22semidirect
111. #19099237C22semidirect
112. #19099236C22semidirect
113. #19099236C22semidirect
114. #19099236C22semidirect
115. #19099234C22semidirect
116. #19099233C22semidirect
117. Q8×D316C22semidirect
118. D4×Dic158C22semidirect
119. D4×Dic158C22semidirect
120. #19099223C22semidirect
121. #19099223C22semidirect
122. #19099222C22semidirect
123. #19099222C22semidirect
124. #19099222C22semidirect
125. #19099220C22semidirect
126. #19099219C22semidirect
127. #19099218C22semidirect
128. #19099217C22semidirect
129. #19099214C22semidirect
130. #19099214C22semidirect
131. #19099214C22semidirect
133. #19099211C22semidirect
135. #19099210C22semidirect
136. #19099210C22semidirect
139. #19099208C22semidirect
140. #19099202C22semidirect
141. #19099202C22semidirect
142. #19099201C22semidirect
144. #19099194C22semidirect
145. #19099193C22semidirect
146. #19099193C22semidirect
147. #19099193C22semidirect
148. #19099191C22semidirect
149. #19099188C22semidirect
150. #19099186C22semidirect
151. #19099185C22semidirect
152. #19099185C22semidirect
153. #19099184C22semidirect
154. #19099180C22semidirect
156. #19099179C22semidirect
157. #19099179C22semidirect
158. #19099179C22semidirect
159. #19099178C22semidirect
160. #19099178C22semidirect
161. #19099178C22semidirect
162. #19099176C22semidirect
163. #19099172C22semidirect
164. #19099172C22semidirect
165. #19099170C22semidirect
166. #19099169C22semidirect
167. #19099166C22semidirect
168. #19099166C22semidirect
169. #19099165C22semidirect
170. #19099165C22semidirect
171. #19099164C22semidirect
172. #19099163C22semidirect
173. #19099161C22semidirect
174. #19099161C22semidirect
176. #19099160C22semidirect
177. #19099159C22semidirect
178. #19099158C22semidirect
179. #19099156C22semidirect
180. #19099155C22semidirect
182. #19099152C22semidirect
183. #19099150C22semidirect
184. #19099149C22semidirect
185. #19099146C22semidirect
186. #19099146C22semidirect
187. #19099146C22semidirect
188. #19099145C22semidirect
189. #19099145C22semidirect
190. #19099145C22semidirect
192. #19099144C22semidirect
193. #19099142C22semidirect
194. #19099142C22semidirect
195. #19099141C22semidirect
196. #19099141C22semidirect
197. #19099139C22semidirect
198. #19099136C22semidirect
199. #19099135C22semidirect
200. #19099135C22semidirect
202. #19099129C22semidirect
204. #19099120C22semidirect
205. #19099120C22semidirect
206. #19099117C22semidirect
207. #19099116C22semidirect
208. #19099113C22semidirect
209. #19099110C22semidirect
210. #19099109C22semidirect
211. #19099108C22semidirect
212. C2×#14579160C22semidirect
213. #19099099C22semidirect
214. #19099098C22semidirect
216. #19099097C22semidirect
217. #19099097C22semidirect
218. #19099097C22semidirect
219. #19099095C22semidirect
220. #19099094C22semidirect
221. #19099093C22semidirect
222. #19099093C22semidirect
223. #19099093C22semidirect
224. #19099093C22semidirect
225. #19099093C22semidirect
226. #19099091C22semidirect
227. #19099090C22semidirect
228. #126×D79C22semidirect
230. #19099075C22semidirect
232. #19099072C22semidirect
233. #19099070C22semidirect
234. C22⋊Q8×D79C22semidirect
235. #121×D79C22semidirect
236. #19099044C22semidirect
237. #19099043C22semidirect
238. #19099039C22semidirect
239. #19099035C22semidirect
240. #19099031C22semidirect
241. C2×#14579119C22semidirect
242. #553×C79C22semidirect
243. #553×C79C22semidirect
244. #553×C79C22semidirect
245. #553×C79C22semidirect
246. #552×C79C22semidirect
247. #552×C79C22semidirect
248. #541×C79C22semidirect
249. #540×C79C22semidirect
251. #537×C79C22semidirect
252. #532×C79C22semidirect
253. #529×C79C22semidirect
254. #529×C79C22semidirect
255. C2×#125×C79C22semidirect
256. #520×C79C22semidirect
257. #520×C79C22semidirect
258. C4×#41×C79C22semidirect
1154. #3512D79semidirect
1159. C79#63065semidirect
1225. #553C2×D79semidirect
1226. #553C2×D79semidirect
1227. #553C2×D79semidirect
1228. #553C2×D79semidirect
1240. #552C2×D79semidirect
1241. #552C2×D79semidirect
1302. #541C2×D79semidirect
1310. #540C2×D79semidirect
1336. #537C2×D79semidirect
1352. #532C2×D79semidirect
1369. #529C2×D79semidirect
1370. #529C2×D79semidirect
1372. C2×#125C2×D79semidirect
1382. #520C2×D79semidirect
1383. #520C2×D79semidirect
1387. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780882
#237780532
#237780132
#237780062
#237779792
#237779702
#237779392
#237779342
#237778392
#237778262
#237778182
#237777982
#237777842
#237777522
#237777422
#237777192
#237776962
#237776182
#237775452
#237775362
#237775062
#237774632
#237774172
#237773612
#237773032
#237771412
#237771312
#237771132
C79×#35122
#6306579