Finite Group Databasebeta

← #35201961

Subgroups — #35201961

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#23778067C214yesmaximal, complemented
3#23778012C214yesmaximal, complemented
4#23778003C211yesmaximal, characteristic, complemented
5#23777981C214yesmaximal, complemented
6#23777972C212yesmaximal, complemented
7#23777944C214yesmaximal, complemented
8#23777938C211yesmaximal, characteristic, complemented
9#23777842C212yesmaximal, complemented
10#23777820C212yesmaximal, complemented
11#23777817C214yesmaximal, complemented
12#23777798C211yesmaximal, characteristic, complemented
13#23777781C214yesmaximal, complemented
14#23777757C212yesmaximal, complemented
15#23777737C212yesmaximal, complemented
16#23777721C212yesmaximal, complemented
17#23777689C212yesmaximal, complemented
18#23777620C212yesmaximal, complemented
19#23777545C212yesmaximal, complemented
20#23777539C211yesmaximal, characteristic, complemented
21#23777504C212yesmaximal, complemented
22#23777456C212yesmaximal, complemented
23#23777417C211yesmaximal, characteristic, complemented
24#23777322C211yesmaximal, characteristic, complemented
25#23777300C212yesmaximal, complemented
26#23777145C212yesmaximal, complemented
27#23777125C212yesmaximal, complemented
28#23777111C212yesmaximal, complemented
29C79×#3514C211yesmaximal, characteristic, complemented
30C79⋊#564C2212yescomplemented
31#19099317C2211yescharacteristic, complemented
32#19099316C2214yescomplemented
33#19099316C2214yescomplemented
34#19099315C2212yescomplemented
35#19099315C2214yescomplemented
36#19099315C2214yescomplemented
37#19099314C2214yescomplemented
38#19099314C2214yescomplemented
39#19099313C2212yes—
40#19099313C2212yescomplemented
41#19099311C2211yescharacteristic, complemented
42#19099310C2212yescomplemented
43#19099310C2214yescomplemented
44#19099309C2212yescomplemented
45#19099309C2214yescomplemented
46#19099308C2214yescomplemented
47#19099308C2214yescomplemented
48#19099307C2211yescharacteristic
49#19099307C2212yescomplemented
50#19099307C2212yescomplemented
51#19099307C2212yescomplemented
52#19099305C2211yescharacteristic
53#19099304C2212yescomplemented
54#19099303C2212yescomplemented
55#19099302C2214yes—
56#19099302C2214yescomplemented
57#19099301C2212yes—
58#19099297C2214yescomplemented
59Q8×Dic158C2211yescharacteristic, complemented
60#19099291C2212yescomplemented
61#19099287C2212yescomplemented
62#19099283C2212yescomplemented
63#19099283C2211yescharacteristic, complemented
64#19099282C2214yescomplemented
65#19099281C2212yescomplemented
66#19099281C2212yescomplemented
67#19099281C2214yescomplemented
68#19099278C2211yescharacteristic
69#19099278C2212yescomplemented
70#19099278C2212yescomplemented
71#19099277C2212yes—
72#19099277C2214yescomplemented
73#19099275C2214yescomplemented
74#19099275C2214yescomplemented
75#19099274C2212yescomplemented
76#19099274C2212yescomplemented
77#19099272C2212yescomplemented
78#19099271C2212yescomplemented
79#19099271C2214yescomplemented
80#19099270C2212yescomplemented
81#19099270C2212yescomplemented
82#19099265C2212yescomplemented
83#19099264C2214yescomplemented
84#19099263C2212yescomplemented
85#19099263C2212yescomplemented
86#19099263C2212yescomplemented
87#19099263C2212yescomplemented
88#19099263C2212yescomplemented
89#19099262C2214yescomplemented
90#19099262C2214yescomplemented
91#19099262C2214yescomplemented
92#19099262C2214yescomplemented
93#19099260C2214yescomplemented
94#19099257C2214yescomplemented
95#19099256C2214yescomplemented
96#19099254C2214yescomplemented
97#19099254C2212yescomplemented
98#19099254C2212yescomplemented
99#19099253C2212yes—
100#19099253C2212yescomplemented
101#19099253C2214yescomplemented
102#19099252C2212yescomplemented
103#19099250C2214yescomplemented
104#19099250C2214yescomplemented
105#19099249C2214yescomplemented
106#19099249C2214yescomplemented
107#19099247C2212yescomplemented
108#19099246C2214yescomplemented
109#19099244C2214yescomplemented
110#19099243C2214yes—
111#19099239C2214yescomplemented
112#19099239C2214yescomplemented
113#19099239C2214yescomplemented
114#19099239C2214yescomplemented
115#19099239C2214yescomplemented
116#19099238C2214yescomplemented
117#19099234C2212yescomplemented
118#19099233C2212yescomplemented
119Q8×D316C2211yescharacteristic, complemented
120Q8×C22⋊D79C2214yescomplemented
121#19099223C2214yescomplemented
122#19099221C2214yescomplemented
123#19099221C2214yescomplemented
124#19099221C2212yescomplemented
125#19099221C2212yescomplemented
126#19099220C2212yescomplemented
127#19099218C2212yes—
128#19099218C2212yescomplemented
129#19099217C2212yescomplemented
130#19099213C2212yescomplemented
131#19099213C2212yescomplemented
132#19099212C2214yescomplemented
133#19099211C2214yescomplemented
134#19099207C2212yes—
135#19099207C2214yes—
136#19099207C2212yescomplemented
137#19099203C2214yescomplemented
138#19099203C2214yescomplemented
139#19099203C2214yescomplemented
140#19099200C2214yescomplemented
141#19099192C2214yescomplemented
142#19099192C2212yescomplemented
143#19099191C2212yescomplemented
144#19099190C2212yescomplemented
145#19099190C2212yescomplemented
146#19099189C2214yescomplemented
147#19099182C2214yescomplemented
148#19099182C2212yescomplemented
149#19099178C2212yescomplemented
150#19099178C2212yescomplemented
151#19099178C2214yescomplemented
152#19099178C2214yescomplemented
153#19099177C2214yes—
154#19099177C2214yescomplemented
155#19099177C2214yescomplemented
156#19099177C2214yescomplemented
157#19099177C2214yescomplemented
158#19099175C2212yescomplemented
159#19099175C2212yescomplemented
160#19099173C2214yescomplemented
161#19099170C2214yescomplemented
162#19099170C2214yescomplemented
163#19099168C2212yescomplemented
164#19099167C2212yescomplemented
165#19099166C2214yescomplemented
166#19099165C2214yescomplemented
167#19099165C2214yescomplemented
168#19099164C2214yescomplemented
169#19099163C2214yescomplemented
170#19099163C2214yescomplemented
171#19099159C2214yescomplemented
172#19099159C2214yescomplemented
173#19099158C2212yes—
174#19099158C2212yescomplemented
175#19099157C2214yescomplemented
176#19099156C2214yescomplemented
177#19099155C2214yescomplemented
178#19099155C2214yescomplemented
179#19099151C2214yescomplemented
180#19099151C2214yescomplemented
181#19099149C2214yescomplemented
182#19099148C2214yes—
183#19099148C2214yescomplemented
184#19099148C2214yescomplemented
185#19099147C2214yescomplemented
186#19099147C2214yescomplemented
187#19099145C2214yescomplemented
188#19099142C2212yes—
189#19099142C2212yescomplemented
190#19099142C2212yescomplemented
191#19099142C2214yescomplemented
192#19099141C2211yescharacteristic
193#19099141C2214yescomplemented
194#19099141C2211yescharacteristic, complemented
195#19099140C2212yescomplemented
196#19099137C2214yescomplemented
197#19099136C2212yescomplemented
198#19099136C2214yescomplemented
199#19099133C2214yescomplemented
200#19099130C2212yes—
201#19099128C2214yescomplemented
202#19099122C2214yes—
203#19099120C2211yescharacteristic, complemented
204#19099120C2212yescomplemented
205#19099117C2214yescomplemented
206#19099116C2214yescomplemented
207#19099113C2211yescharacteristic, complemented
208#19099110C2212yescomplemented
209#19099110C2214yescomplemented
210#19099108C2214yescomplemented
211C4⋊Q8×D79C2212yescomplemented
212#19099100C2212yescomplemented
213#19099097C2211yescharacteristic, complemented
214#19099097C2212yescomplemented
215#19099097C2212yescomplemented
216#19099097C2212yescomplemented
217#19099096C2214yescomplemented
218#19099095C2214yescomplemented
219#19099095C2212yescomplemented
220#19099093C2214yescomplemented
221#19099093C2214yescomplemented
222#19099092C2214yescomplemented
223#19099092C2212yescomplemented
224#19099091C2212yescomplemented
225#19099091C2214yescomplemented
226#19099090C2214yescomplemented
227C2×#14579154C2214yescomplemented
228C2×#14579153C2211yescharacteristic, complemented
229#19099075C2212yescomplemented
230#19099073C2212yescomplemented
231#19099072C2212yes—
232#19099072C2212yescomplemented
233C22⋊Q8×D79C2212yescomplemented
234C2×#14579132C2212yescomplemented
235#19099043C2211yescharacteristic, complemented
236#19099043C2212yescomplemented
237#19099043C2211yescharacteristic, complemented
238#19099042C2212yescomplemented
239#19099039C2212yescomplemented
240C4×#11929623C2212yescomplemented
241#117×D79C2212yescomplemented
242#559×C79C2211yescharacteristic, complemented
243#556×C79C2211yescharacteristic
244#555×C79C2212yescomplemented
245#551×C79C2214yescomplemented
246D4×Q8×C79C2211yescharacteristic, complemented
247#548×C79C2212yescomplemented
248#546×C79C2212yes—
249#546×C79C2212yescomplemented
250D42×C79C2211yescharacteristic
251#542×C79C2212yescomplemented
252#538×C79C2214yescomplemented
253#532×C79C2211yescharacteristic, complemented
254#529×C79C2211yescharacteristic
255#529×C79C2212yescomplemented
256C2×#124×C79C2212yes—
257#518×C79C2212yescomplemented
258C4×#41×C79C2211yescharacteristic, complemented
259C2×#11929624C2312yes—
260C2×#11929624C2311yescharacteristic
261C2×#11929624C2311yescharacteristic
262C2×#11929624C2314yes—
263C2×#11929624C2314yes—
264C2×#11929623C2312yes—
265C2×#11929623C2312yes—
266C2×#11929623C2314yes—
267C2×#11929623C2314yes—
268C2×Q8×D79C2312yes—
269C2×Q8×D79C2314yes—
270C22×C22⋊D79C2314yes—
271C22×C4×D79C2312yes—
272#14579161C2311yescharacteristic
273#14579161C2311yescharacteristic
274#14579161C2312yes—
275#14579161C2312yes—
276#14579161C2311yescharacteristic
277#14579161C2312yes—
278#14579160C2314yes—
279#14579160C2314yes—
280#14579160C2314yes—
281#14579160C2312yes—
282#14579160C2312yes—
283#14579160C2314yes—
284#14579160C2312yes—
285#14579159C2314yes—
286#14579159C2314yes—
287#14579159C2314yes—
288#14579159C2314yes—
289#14579158C2311yescharacteristic
290#14579157C2314yes—
291#14579157C2314yes—
292#14579157C2312yes—
293#14579156C2314yes—
294#14579156C2314yes—
295#14579156C2312yes—
296#14579156C2312yes—
297#14579156C2312yes—
298#14579155C2314yes—
299#14579155C2314yes—
300#14579155C2312yes—
301#14579155C2314yes—
302#14579155C2314yes—
303#14579154C2314yes—
304#14579154C2314yes—
305#14579154C2314yes—
306#14579154C2314yes—
307#14579154C2314yes—
308#14579154C2314yes—
309#14579154C2314yes—
310#14579154C2314yes—
311#14579154C2314yes—
312#14579154C2314yes—
313#14579154C2314yes—
314#14579154C2314yes—
315#14579154C2314yes—
316#14579154C2314yes—
317#14579154C2314yes—
318#14579154C2314yes—
319#14579154C2314yes—
320#14579154C2314yes—
321#14579154C2312yes—
322#14579154C2314yes—
323#14579154C2314yes—
324#14579153C2312yes—
325#14579153C2314yes—
326#14579153C2312yes—
327#14579153C2312yes—
328#14579153C2312yes—
329#14579153C2311yescharacteristic
330#14579153C2312yes—
331#14579153C2312yes—
332#14579152C2314yes—
333#14579152C2314yes—
334#14579152C2314yes—
335#14579152C2314yes—
336#14579152C2312yes—
337#14579152C2312yes—
338#14579151C2314yes—
339#14579151C2314yes—
340#14579151C2314yes—
341#14579151C2314yes—
342#14579151C2314yes—
343#14579151C2314yes—
344#14579151C2314yes—
345#14579151C2314yes—
346#14579151C2314yes—
347#14579151C2314yes—
348#14579151C2314yes—
349#14579151C2314yes—
350#14579151C2312yes—
351#14579150C2312yes—
352#14579150C2314yes—
353#14579149C2311yescharacteristic
354#14579149C2311yescharacteristic
355#14579149C2311yescharacteristic
356#14579148C2314yes—
357#14579148C2314yes—
358#14579148C2312yes—
359#14579148C2314yes—
360#14579147C2314yes—
361#14579147C2314yes—
362#14579147C2314yes—
363#14579147C2314yes—
364#14579147C2314yes—
365#14579147C2314yes—
366#14579147C2314yes—
367#14579147C2314yes—
368#14579147C2314yes—
369#14579147C2314yes—
370#14579147C2312yes—
371#14579147C2312yes—
372#14579147C2312yes—
373#14579147C2314yes—
374#14579147C2314yes—
375#14579146C2312yes—
376#14579146C2314yes—
377#14579146C2314yes—
378#14579146C2312yes—
379#14579146C2312yes—
380#14579146C2312yes—
381#14579146C2314yes—
382#14579146C2312yes—
383#14579145C2314yes—
384#14579145C2314yes—
385#14579145C2314yes—
386#14579145C2312yes—
387#14579145C2314yes—
388#14579145C2312yes—
389#14579144C2314yes—
390#14579144C2314yes—
391#14579144C2314yes—
392#14579144C2314yes—
393#14579144C2314yes—
394#14579144C2314yes—
395#14579144C2314yes—
396#14579144C2312yes—
397#14579143C2314yes—
398#14579143C2314yes—
399#14579143C2314yes—
400#14579143C2314yes—
401#14579143C2312yes—
402#14579143C2314yes—
403#14579143C2314yes—
404#14579143C2314yes—
405#14579143C2314yes—
406#14579143C2314yes—
407#14579143C2314yes—
408#14579143C2314yes—
409#14579143C2312yes—
410#14579143C2314yes—
411#14579143C2312yes—
412#14579142C2314yes—
413#14579142C2314yes—
414#14579142C2314yes—
415#14579142C2314yes—
416#14579142C2314yes—
417#14579142C2314yes—
418#14579142C2314yes—
419#14579142C2314yes—
420#14579141C2312yes—
421#14579141C2314yes—
422#14579141C2312yes—
423#14579141C2312yes—
424#14579141C2314yes—
425#14579141C2312yes—
426#14579141C2312yes—
427#14579140C2314yes—
428#14579140C2312yes—
429#14579140C2312yes—
430#14579140C2312yes—
431#14579140C2312yes—
432#14579140C2314yes—
433#14579140C2312yes—
434#14579140C2312yes—
435#14579140C2314yes—
436#14579140C2314yes—
437#14579140C2312yes—
438#14579140C2311yescharacteristic
439#14579140C2314yes—
440#14579140C2314yes—
441#14579139C2314yes—
442#14579139C2314yes—
443#14579139C2312yes—
444#14579139C2312yes—
445#14579139C2312yes—
446#14579139C2314yes—
447#14579138C2314yes—
448#14579138C2314yes—
449#14579138C2314yes—
450#14579138C2314yes—
451#14579138C2314yes—
452#14579138C2314yes—
453#14579138C2314yes—
454#14579138C2314yes—
455#14579138C2314yes—
456#14579138C2314yes—
457#14579138C2314yes—
458#14579138C2314yes—
459#14579138C2312yes—
460#14579138C2314yes—
461#14579138C2314yes—
462#14579138C2314yes—
463#14579138C2314yes—
464#14579138C2312yes—
465#14579137C2314yes—
466#14579137C2312yes—
467#14579137C2314yes—
468#14579137C2314yes—
469#14579137C2314yes—
470#14579137C2312yes—
471#14579137C2314yes—
472#14579137C2314yes—
473#14579137C2312yes—
474#14579136C2312yes—
475#14579136C2312yes—
476#14579136C2312yes—
477#14579136C2312yes—
478#14579135C2311yescharacteristic
479#14579135C2312yes—
480#14579135C2312yes—
481#14579135C2314yes—
482#14579135C2312yes—
483#14579135C2312yes—
484#14579135C2314yes—
485#14579135C2312yes—
486#14579134C2314yes—
487#14579134C2314yes—
488#14579134C2312yes—
489#14579134C2314yes—
490#14579134C2314yes—
491#14579134C2314yes—
492#14579134C2314yes—
493#14579134C2314yes—
494#14579134C2312yes—
495#14579134C2312yes—
496#14579134C2314yes—
497#14579134C2314yes—
498#14579134C2314yes—
499#14579134C2312yes—
500#14579134C2312yes—
501#14579133C2314yes—
502#14579133C2314yes—
503#14579133C2314yes—
504#14579133C2314yes—
505#14579133C2314yes—
506#14579133C2314yes—
507#14579133C2314yes—
508#14579133C2314yes—
509#14579133C2314yes—
510#14579133C2314yes—
511#14579133C2314yes—
512#14579133C2312yes—
513#14579133C2314yes—
514#14579133C2314yes—
515#14579133C2312yes—
516#14579132C2312yes—
517#14579132C2314yes—
518#14579132C2314yes—
519#14579132C2312yes—
520#14579132C2314yes—
521#14579132C2312yes—
522#14579132C2314yes—
523#14579132C2314yes—
524#14579132C2312yes—
525#14579132C2312yes—
526#14579132C2312yes—
527#14579132C2312yes—
528#14579132C2312yes—
529#14579132C2314yes—
530#14579131C2312yes—
531#14579131C2312yes—
532#14579131C2312yes—
533#14579131C2312yes—
534#14579130C2314yes—
535#14579130C2314yes—
536#14579130C2314yes—
537#14579130C2314yes—
538#14579129C2312yes—
539#14579129C2314yes—
540#14579129C2312yes—
541Q8×Dic79C2314yes—
542Q8×Dic79C2312yes—
543C4×Dic158C2312yes—
544C4×Dic158C2314yes—
545C4×Dic158C2312yes—
546C4×Dic158C2312yes—
547C4×Dic158C2312yes—
548C4×Dic158C2312yes—
549C4×Dic158C2314yes—
550C4×Dic158C2312yes—
551C4×Dic158C2312yes—
552C4×Dic158C2314yes—
553C4×Dic158C2314yes—
554C4×Dic158C2311yescharacteristic
555#14579126C2314yes—
556#14579126C2314yes—
557#14579126C2312yes—
558C4×D316C2312yes—
559C4×D316C2312yes—
560C4×D316C2314yes—
561C4×D316C2312yes—
562C4×D316C2312yes—
563C4×D316C2312yes—
564C4×D316C2312yes—
565C4×D316C2311yescharacteristic
566C4×D316C2312yes—
567D4×Dic79C2314yes—
568D4×Dic79C2314yes—
569D4×Dic79C2314yes—
570D4×Dic79C2314yes—
571D4×Dic79C2312yes—
572D4×Dic79C2312yes—
573#14579123C2314yes—
574#14579123C2314yes—
575C4×C22⋊D79C2314yes—
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⋊D79C2312yes—
585C4×C22⋊D79C2312yes—
586C4×C22⋊D79C2312yes—
587(C22⋊D79)⋊C4C2314yes—
588(C22⋊D79)⋊C4C2314yes—
589(C22⋊D79)⋊C4C2314yes—
590(C22⋊D79)⋊C4C2314yes—
591(C22⋊D79)⋊C4C2314yes—
592(C22⋊D79)⋊C4C2314yes—
593(C22⋊D79)⋊C4C2314yes—
594(C22⋊D79)⋊C4C2314yes—
595(C22⋊D79)⋊C4C2314yes—
596(C22⋊D79)⋊C4C2314yes—
597(C22⋊D79)⋊C4C2314yes—
598#14579120C2314yes—
599#14579120C2312yes—
600#14579120C2312yes—
601#14579120C2312yes—
602#14579120C2312yes—
603#14579120C2314yes—
604#14579119C2314yes—
605#14579119C2312yes—
606#14579119C2314yes—
607#14579119C2312yes—
608#14579119C2312yes—
609#14579119C2312yes—
610#14579118C2314yes—
611#14579118C2312yes—
612#14579118C2312yes—
613#14579118C2314yes—
614#14579118C2314yes—
615#14579118C2314yes—
616#14579118C2314yes—
617#14579117C2314yes—
618#14579117C2314yes—
619#14579117C2314yes—
620#14579117C2314yes—
621#14579117C2314yes—
622#14579117C2314yes—
623#14579117C2314yes—
624C2×C4⋊Dic79C2311yescharacteristic
625C2×C4⋊Dic79C2314yes—
626C2×C4⋊Dic79C2311yescharacteristic
627C2×C4⋊Dic79C2312yes—
628C2×Dic79⋊C4C2312yes—
629C2×Dic79⋊C4C2314yes—
630C2×Dic79⋊C4C2314yes—
631C2×Dic79⋊C4C2312yes—
632C4⋊C4×D79C2312yes—
633C4⋊C4×D79C2314yes—
634C4⋊C4×D79C2312yes—
635C4⋊C4×D79C2312yes—
636C4⋊C4×D79C2314yes—
637C4⋊C4×D79C2312yes—
638C4⋊C4×D79C2312yes—
639C2×C22⋊Dic79C2314yes—
640C2×C22⋊Dic79C2314yes—
641C2×C22⋊Dic79C2314yes—
642C22⋊C4×D79C2314yes—
643C22⋊C4×D79C2314yes—
644C2×C4×Dic79C2314yes—
645C42×D79C2314yes—
646C42×D79C2312yes—
647C2×#41×C79C2311yescharacteristic
648C2×#41×C79C2312yes—
649C22×Q8×C79C2312yes—
650C22×D4×C79C2312yes—
651C22×D4×C79C2312yes—
652C4⋊Q8×C79C2311yescharacteristic
653C4⋊Q8×C79C2312yes—
654#127×C79C2311yescharacteristic
655#126×C79C2312yes—
656#126×C79C2314yes—
657#126×C79C2314yes—
658#125×C79C2311yescharacteristic
659#124×C79C2314yes—
660#124×C79C2314yes—
661#124×C79C2312yes—
662#124×C79C2312yes—
663#124×C79C2314yes—
664#124×C79C2312yes—
665#124×C79C2311yescharacteristic
666#124×C79C2312yes—
667#123×C79C2314yes—
668#123×C79C2314yes—
669#123×C79C2314yes—
670#123×C79C2312yes—
671C22⋊Q8×C79C2314yes—
672C22⋊Q8×C79C2312yes—
673C22⋊Q8×C79C2312yes—
674C22⋊Q8×C79C2314yes—
675C22⋊Q8×C79C2311yescharacteristic
676#121×C79C2312yes—
677#121×C79C2312yes—
678#121×C79C2312yes—
679#121×C79C2314yes—
680#121×C79C2314yes—
681#121×C79C2311yescharacteristic
682#121×C79C2312yes—
683#120×C79C2314yes—
684#120×C79C2314yes—
685C4×Q8×C79C2311yescharacteristic
686C4×Q8×C79C2311yescharacteristic
687C4×Q8×C79C2311yescharacteristic
688C4×Q8×C79C2312yes—
689C4×D4×C79C2312yes—
690C4×D4×C79C2314yes—
691C4×D4×C79C2312yes—
692C4×D4×C79C2311yescharacteristic
693C4×D4×C79C2312yes—
694C4×D4×C79C2314yes—
695C4×D4×C79C2312yes—
696C4×D4×C79C2311yescharacteristic
697C4×D4×C79C2312yes—
698C4×D4×C79C2312yes—
699C4×D4×C79C2311yescharacteristic
700C4×D4×C79C2312yes—
701C4×D4×C79C2312yes—
702#117×C79C2312yes—
703#117×C79C2312yes—
704#117×C79C2311yescharacteristic
705#117×C79C2312yes—
706#117×C79C2314yes—
707C2×C22⋊C4×C79C2314yes—
708C2×C22⋊C4×C79C2314yes—
709C2×C22⋊C4×C79C2314yes—
710C2×C42×C79C2312yes—
711C2×C42×C79C2311yescharacteristic
712C23×D79C2412yes—
713#11929624—44no—
714#11929624—42no—
715#11929624—42no—
716#11929624—84no—
717#11929624—84no—
718#11929623—44no—
719#11929623—44no—
720#11929623—84no—
721#11929623—84no—
722C2×Dic158C2412yes—
723C2×Dic158C2414yes—
724C2×Dic158C2414yes—
725C2×Dic158C2414yes—
726C2×Dic158C2414yes—
727C2×Dic158C2412yes—
728C2×Dic158C2411yescharacteristic
729C2×Dic158C2411yescharacteristic
730C2×Dic158C2412yes—
731C2×Dic158C2411yescharacteristic
732Q8×D79—44no—
733Q8×D79—84no—
734C2×D316C2412yes—
735C2×D316C2412yes—
736C2×D316C2411yescharacteristic
737C2×D316C2412yes—
738C2×D316C2411yescharacteristic
739C2×D316C2412yes—
740C2×D316C2412yes—
741C2×D316C2411yescharacteristic
742C2×C22⋊D79—84no—
743C2×C22⋊D79C2412yes—
744C2×C22⋊D79C2412yes—
745C2×C22⋊D79C2414yes—
746C2×C22⋊D79C2414yes—
747C2×C22⋊D79C2414yes—
748C2×C22⋊D79C2414yes—
749C2×C22⋊D79C2412yes—
750C2×C22⋊D79C2412yes—
751C2×C22⋊D79C2412yes—
752C2×C22⋊D79C2412yes—
753C2×C22⋊D79C2414yes—
754C2×C22⋊D79C2414yes—
755C2×C22⋊D79C2414yes—
756C2×C22⋊D79C2412yes—
757C2×C22⋊D79C2414yes—
758C2×C22⋊D79C2414yes—
759C22×Dic79C2414yes—
760C22×Dic79C2412yes—
761C22×Dic79C2414yes—
762C22×Dic79C2414yes—
763C22×Dic79C2414yes—
764C22×Dic79C2412yes—
765C22×Dic79C2414yes—
766C22×Dic79C2412yes—
767C2×C4×D79—44no—
768C2×C4×D79C2412yes—
769C2×C4×D79C2412yes—
770C2×C4×D79C2412yes—
771C2×C4×D79C2412yes—
772C2×C4×D79C2414yes—
773C2×C4×D79C2414yes—
774C2×C4×D79C2414yes—
775C2×C4×D79C2414yes—
776C2×C4×D79C2414yes—
777C2×C4×D79C2412yes—
778C2×C4×D79C2414yes—
779C2×C4×D79C2412yes—
780C2×C4×D79C2412yes—
781C4⋊Dic79C2412yes—
782C4⋊Dic79C2412yes—
783C4⋊Dic79C2412yes—
784C4⋊Dic79C2414yes—
785C4⋊Dic79C2414yes—
786C4⋊Dic79C2412yes—
787C4⋊Dic79C2412yes—
788C4⋊Dic79C2414yes—
789C4⋊Dic79C2414yes—
790C4⋊Dic79C2412yes—
791C4⋊Dic79C2412yes—
792C4⋊Dic79C2414yes—
793C4⋊Dic79C2414yes—
794C4⋊Dic79C2412yes—
795C4⋊Dic79C2411yescharacteristic
796C4⋊Dic79C2412yes—
797C4⋊Dic79C2411yescharacteristic
798C4⋊Dic79C2412yes—
799C4⋊Dic79C2412yes—
800C4⋊Dic79C2414yes—
801C4⋊Dic79C2412yes—
802Dic79⋊C4C2414yes—
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⋊C4C2414yes—
816Dic79⋊C4C2414yes—
817Dic79⋊C4C2414yes—
818Dic79⋊C4C2414yes—
819Dic79⋊C4C2414yes—
820Dic79⋊C4C2412yes—
821Dic79⋊C4C2414yes—
822Dic79⋊C4C2412yes—
823Dic79⋊C4C2414yes—
824Dic79⋊C4C2414yes—
825Dic79⋊C4C2414yes—
826Dic79⋊C4C2412yes—
827Dic79⋊C4C2414yes—
828Dic79⋊C4C2412yes—
829Dic79⋊C4C2414yes—
830Dic79⋊C4C2414yes—
831Dic79⋊C4C2412yes—
832Dic79⋊C4C2412yes—
833C22⋊Dic79C2414yes—
834C22⋊Dic79C2414yes—
835C22⋊Dic79C2412yes—
836C22⋊Dic79C2412yes—
837C22⋊Dic79C2414yes—
838C22⋊Dic79C2414yes—
839C22⋊Dic79C2414yes—
840C22⋊Dic79C2414yes—
841C22⋊Dic79C2414yes—
842C22⋊Dic79C2414yes—
843C22⋊Dic79C2414yes—
844C22⋊Dic79C2414yes—
845C22⋊Dic79C2414yes—
846C22⋊Dic79C2414yes—
847C22⋊Dic79C2414yes—
848C22⋊Dic79C2414yes—
849C22⋊Dic79C2414yes—
850C22⋊Dic79C2412yes—
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)⋊C4C2412yes—
858(C2×D79)⋊C4C2412yes—
859(C2×D79)⋊C4C2412yes—
860(C2×D79)⋊C4C2414yes—
861(C2×D79)⋊C4C2412yes—
862(C2×D79)⋊C4C2412yes—
863(C2×D79)⋊C4C2412yes—
864(C2×D79)⋊C4C2414yes—
865(C2×D79)⋊C4C2414yes—
866(C2×D79)⋊C4C2412yes—
867(C2×D79)⋊C4C2412yes—
868(C2×D79)⋊C4C2414yes—
869(C2×D79)⋊C4C2412yes—
870(C2×D79)⋊C4C2412yes—
871(C2×D79)⋊C4C2412yes—
872(C2×D79)⋊C4C2412yes—
873(C2×D79)⋊C4C2412yes—
874(C2×D79)⋊C4C2412yes—
875(C2×D79)⋊C4C2414yes—
876C4×Dic79C2412yes—
877C4×Dic79C2412yes—
878C4×Dic79C2414yes—
879C4×Dic79C2414yes—
880C4×Dic79C2414yes—
881C4×Dic79C2412yes—
882C4×Dic79C2414yes—
883C4×Dic79C2414yes—
884C4×Dic79C2414yes—
885C4×Dic79C2414yes—
886C4×Dic79C2414yes—
887C4×Dic79C2414yes—
888C4×Dic79C2414yes—
889C24×C79C2414yes—
890#41×C79—42no—
891#41×C79—82no—
892C2×Q8×C79—82no—
893C2×Q8×C79C2411yescharacteristic
894C2×Q8×C79C2414yes—
895C2×Q8×C79C2411yescharacteristic
896C2×Q8×C79C2412yes—
897C2×D4×C79—44no—
898C2×D4×C79—82no—
899C2×D4×C79C2412yes—
900C2×D4×C79C2411yescharacteristic
901C2×D4×C79C2414yes—
902C2×D4×C79C2414yes—
903C2×D4×C79C2412yes—
904C2×D4×C79C2414yes—
905C2×D4×C79C2412yes—
906C2×D4×C79C2412yes—
907C2×D4×C79C2411yescharacteristic
908C2×D4×C79C2412yes—
909C22×C4×C79C2411yescharacteristic
910C22×C4×C79C2412yes—
911C22×C4×C79C2414yes—
912C22×C4×C79C2414yes—
913C22×C4×C79C2412yes—
914C22×C4×C79C2412yes—
915C22×C4×C79C2411yescharacteristic
916C22×C4×C79C2412yes—
917C22×C4×C79C2411yescharacteristic
918C22×C4×C79C2414yes—
919C4⋊C4×C79C2411yescharacteristic
920C4⋊C4×C79C2412yes—
921C4⋊C4×C79C2412yes—
922C4⋊C4×C79C2412yes—
923C4⋊C4×C79C2412yes—
924C4⋊C4×C79C2411yescharacteristic
925C4⋊C4×C79C2412yes—
926C4⋊C4×C79C2412yes—
927C4⋊C4×C79C2414yes—
928C4⋊C4×C79C2411yescharacteristic
929C4⋊C4×C79C2411yescharacteristic
930C4⋊C4×C79C2412yes—
931C4⋊C4×C79C2414yes—
932C4⋊C4×C79C2412yes—
933C22⋊C4×C79C2412yes—
934C22⋊C4×C79C2412yes—
935C22⋊C4×C79C2414yes—
936C22⋊C4×C79C2412yes—
937C22⋊C4×C79C2412yes—
938C22⋊C4×C79C2414yes—
939C22⋊C4×C79C2414yes—
940C22⋊C4×C79C2414yes—
941C22⋊C4×C79C2414yes—
942C22⋊C4×C79C2414yes—
943C22⋊C4×C79C2414yes—
944C22⋊C4×C79C2412yes—
945C22⋊C4×C79C2412yes—
946C22⋊C4×C79C2414yes—
947C22⋊C4×C79C2412yes—
948C22⋊C4×C79C2414yes—
949C22⋊C4×C79C2412yes—
950C42×C79C2411yescharacteristic
951C42×C79C2412yes—
952C42×C79C2411yescharacteristic
953C42×C79C2411yescharacteristic
954C42×C79C2412yes—
955C42×C79C2411yescharacteristic
956C42×C79C2412yes—
957C42×C79C2414yes—
958C42×C79C2412yes—
959C23×C79—44no—
960C23×C79—44no—
961C23×C79—44no—
962C23×C79C2512yes—
963C23×C79C2512yes—
964C23×C79C2514yes—
965C23×C79C2511yescharacteristic
966C22×D79—42no—
967C22×D79—42no—
968C22×D79—42no—
969C22×D79C2512yes—
970C22×D79C2512yes—
971C22×D79C2512yes—
972Q8×C79—22no—
973Q8×C79—44no—
974Q8×C79—41no—
975Q8×C79—42no—
976D4×C79—24no—
977D4×C79—22no—
978D4×C79—44no—
979D4×C79—44no—
980D4×C79—44no—
981D4×C79—41no—
982D4×C79—42no—
983D4×C79—42no—
984D4×C79—42no—
985D4×C79—42no—
986C2×C4×C79—24no—
987C2×C4×C79—22no—
988C2×C4×C79—44no—
989C2×C4×C79—44no—
990C2×C4×C79—42no—
991C2×C4×C79—41no—
992C2×C4×C79—44no—
993C2×C4×C79—42no—
994C2×C4×C79—42no—
995C2×C4×C79—41no—
996C2×C4×C79C2512yes—
997C2×C4×C79C2511yescharacteristic
998C2×C4×C79C2512yes—
999C2×C4×C79C2512yes—
1000C2×C4×C79C2512yes—
1001C2×C4×C79C2512yes—
1002C2×C4×C79C2512yes—
1003C2×C4×C79C2514yes—
1004C2×C4×C79C2511yescharacteristic
1005C2×C4×C79C2511yescharacteristic
1006C2×C4×C79C2511yescharacteristic
1007C2×C4×C79C2511yescharacteristic
1008C2×C4×C79C2511yescharacteristic
1009C22⋊D79—44no—
1010C22⋊D79—44no—
1011C22⋊D79—44no—
1012C22⋊D79—44no—
1013C22⋊D79—44no—
1014C22⋊D79—44no—
1015C22⋊D79—42no—
1016C22⋊D79—44no—
1017C22⋊D79—44no—
1018C22⋊D79—42no—
1019C22⋊D79—42no—
1020C22⋊D79—44no—
1021C22⋊D79—42no—
1022C22⋊D79—42no—
1023C22⋊D79—42no—
1024C22⋊D79—42no—
1025C2×Dic79—42no—
1026C2×Dic79—42no—
1027C2×Dic79—44no—
1028C2×Dic79—44no—
1029C2×Dic79—44no—
1030C2×Dic79—44no—
1031C2×Dic79—44no—
1032C2×Dic79—42no—
1033C2×Dic79C2512yes—
1034C2×Dic79C2512yes—
1035C2×Dic79C2514yes—
1036C2×Dic79C2514yes—
1037C2×Dic79C2512yes—
1038C2×Dic79C2512yes—
1039C2×Dic79C2514yes—
1040C2×Dic79C2512yes—
1041C2×Dic79C2514yes—
1042D316—41no—
1043D316—42no—
1044D316—42no—
1045D316—41no—
1046D316—41no—
1047D316—42no—
1048D316—42no—
1049D316—42no—
1050C4×D79—24no—
1051C4×D79—24no—
1052C4×D79—24no—
1053C4×D79—42no—
1054C4×D79—42no—
1055C4×D79—44no—
1056C4×D79—42no—
1057C4×D79—44no—
1058C4×D79—42no—
1059C4×D79—44no—
1060C4×D79—44no—
1061C4×D79—44no—
1062C4×D79—44no—
1063Dic158—24no—
1064Dic158—44no—
1065Dic158—44no—
1066Dic158—44no—
1067Dic158—44no—
1068Dic158—41no—
1069Dic158—41no—
1070Dic158—42no—
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—24no—
1083C22×C79—22no—
1084C22×C79—21no—
1085C22×C79—164no—
1086C22×C79C2611yescharacteristic
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—22no—
1096C2×D79—84no—
1097C4×C79—21no—
1098C4×C79—22no—
1099C4×C79—22no—
1100C4×C79—21no—
1101C4×C79—21no—
1102C4×C79—24no—
1103C4×C79—22no—
1104C4×C79—22no—
1105C4×C79—21no—
1106C4×C79—22no—
1107C4×C79—22no—
1108C4×C79—21no—
1109C4×C79#58512yes—
1110Dic79—24no—
1111Dic79—22no—
1112Dic79—22no—
1113Dic79—22no—
1114Dic79—24no—
1115Dic79—22no—
1116Dic79—24no—
1117Dic79—24no—
1118Dic79—22no—
1119#63065—791nomaximal, Sylow
1120C2×C79—42no—
1121C2×C79—41no—
1122C2×C79—44no—
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—792no—
1140#3551—794no—
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#3514D7911yescharacteristic, complemented
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—794no—
1163#563—794no—
1164#563—791no—
1165#563—792no—
1166#563—792no—
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—792no—
1177#562—794no—
1178#562—792no—
1179#562—794no—
1180#562—794no—
1181#562—794no—
1182H(3,𝔽4)—791no—
1183#560—792no—
1184#560—792no—
1185#560—792no—
1186#560—794no—
1187#560—794no—
1188#559—794no—
1189#559C2×D7911yescharacteristic, complemented
1190Q82—791no—
1191#557—792no—
1192#556—792no—
1193#556—794no—
1194#556—791no—
1195#556—792no—
1196#556—792no—
1197#556—792no—
1198#556—794no—
1199#556C2×D7911yescharacteristic
1200#555—794no—
1201#555—794no—
1202#555—792no—
1203#555—794no—
1204#555—791no—
1205#555—792no—
1206#555—792no—
1207#555C2×D7912yescomplemented
1208#554—792no—
1209#554—792no—
1210#554—792no—
1211#554—794no—
1212#554—792no—
1213#554—792no—
1214#554—792no—
1215#553—794no—
1216#553—794no—
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#553—792no—
1226#553—792no—
1227#553—792no—
1228#553—794no—
1229#552—794no—
1230#552—794no—
1231#552—794no—
1232#552—794no—
1233#552—792no—
1234#552—792no—
1235#552—794no—
1236#552—792no—
1237#552—792no—
1238#552—792no—
1239#552—794no—
1240#552—794no—
1241#552—792no—
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#551C2×D7914yescomplemented
1251#550—792no—
1252#550—792no—
1253D4×Q8—794no—
1254D4×Q8—791no—
1255D4×Q8C2×D7911yescharacteristic, complemented
1256#548—792no—
1257#548—794no—
1258#548—794no—
1259#548—792no—
1260#548—792no—
1261#548—794no—
1262#548C2×D7912yescomplemented
1263#547—794no—
1264#547—794no—
1265#547—792no—
1266#547—792no—
1267#547—792no—
1268#547—792no—
1269#547—792no—
1270#546—792no—
1271#546—794no—
1272#546—792no—
1273#546—794no—
1274#546—794no—
1275#546—794no—
1276#546—794no—
1277#546C2×D7912yes—
1278#546C2×D7912yescomplemented
1279D42C2×D7911yescharacteristic
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—792no—
1292#542—794no—
1293#542—794no—
1294#542—792no—
1295#542—794no—
1296#542—792no—
1297#542C2×D7912yescomplemented
1298#541—794no—
1299#541—794no—
1300#541—794no—
1301#541—792no—
1302#541—792no—
1303#540—792no—
1304#540—794no—
1305#540—794no—
1306#540—794no—
1307#540—794no—
1308#540—794no—
1309#540—794no—
1310#540—792no—
1311#539—794no—
1312#539—794no—
1313#539—794no—
1314#539—794no—
1315#539—792no—
1316#539—792no—
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#538C2×D7914yescomplemented
1329#537—791no—
1330#537—791no—
1331#537—794no—
1332#537—792no—
1333#537—792no—
1334#537—792no—
1335#537—792no—
1336#537—794no—
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—794no—
1349#532—794no—
1350#532—792no—
1351#532—791no—
1352#532C2×D7911yescharacteristic, complemented
1353C2×C4⋊Q8—792no—
1354#529—794no—
1355#529—794no—
1356#529—792no—
1357#529—794no—
1358#529—792no—
1359#529—794no—
1360#529—794no—
1361#529—792no—
1362#529—794no—
1363#529—794no—
1364#529—792no—
1365#529—792no—
1366#529—792no—
1367#529—791no—
1368#529—792no—
1369#529C2×D7911yescharacteristic
1370#529C2×D7912yescomplemented
1371C2×#126—794no—
1372C2×#125—791no—
1373C2×#124C2×D7912yes—
1374#525—792no—
1375#525—792no—
1376#525—792no—
1377#525—792no—
1378C2×C22⋊Q8—792no—
1379C2×#121—792no—
1380#520—792no—
1381#520—791no—
1382#520—792no—
1383#520—791no—
1384#519—792no—
1385#518C2×D7912yescomplemented
1386C4×#41—792no—
1387C4×#41C2×D7911yescharacteristic, complemented
1388C2×#117—792no—
1389C2×#41—792no—
1390C2×#41—792no—
1391C2×#41—794no—
1392C2×#41—794no—
1393C2×#41—792no—
1394C2×#41—791no—
1395C2×#41—791no—
1396C2×#41—794no—
1397C2×#41—794no—
1398C2×#41C22×D7911yescharacteristic
1399C2×#41C22×D7912yes—
1400C22×Q8—792no—
1401C22×Q8—794no—
1402C22×Q8C22×D7912yes—
1403C22×D4—794no—
1404C22×D4C22×D7912yes—
1405C22×D4C22×D7912yes—
1406C23×C4—792no—
1407C4⋊Q8—794no—
1408C4⋊Q8—794no—
1409C4⋊Q8—794no—
1410C4⋊Q8—794no—
1411C4⋊Q8—794no—
1412C4⋊Q8—792no—
1413C4⋊Q8—792no—
1414C4⋊Q8—792no—
1415C4⋊Q8—794no—
1416C4⋊Q8—794no—
1417C4⋊Q8—794no—
1418C4⋊Q8—792no—
1419C4⋊Q8—791no—
1420C4⋊Q8—792no—
1421C4⋊Q8—791no—
1422C4⋊Q8—792no—
1423C4⋊Q8—791no—
1424C4⋊Q8C22×D7912yes—
1425C4⋊Q8C22×D7911yescharacteristic
1426#127—792no—
1427#127—794no—
1428#127—794no—
1429#127—791no—
1430#127C22×D7911yescharacteristic
1431#126—792no—
1432#126—792no—
1433#126—792no—
1434#126—794no—
1435#126—794no—
1436#126—792no—
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—794no—
1449#126—794no—
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—792no—
1460#126—794no—
1461#126—794no—
1462#126C22×D7914yes—
1463#126C22×D7912yes—
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—794no—
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—794no—
1484#125—792no—
1485#125—792no—
1486#125—792no—
1487#125—792no—
1488#125—792no—
1489#125—791no—
1490#125—794no—
1491#125—792no—
1492#125C22×D7911yescharacteristic
1493#124—792no—
1494#124—794no—
1495#124—794no—
1496#124—792no—
1497#124—794no—
1498#124—794no—
1499#124—794no—
1500#124—794no—
1501#124—794no—
1502#124—794no—
1503#124—794no—
1504#124—792no—
1505#124—794no—
1506#124—794no—
1507#124—794no—
1508#124—794no—
1509#124—792no—
1510#124—792no—
1511#124—794no—
1512#124—794no—
1513#124—794no—
1514#124—791no—
1515#124—791no—
1516#124—791no—
1517#124C22×D7911yescharacteristic
1518#124C22×D7912yes—
1519#124C22×D7914yes—
1520#124C22×D7914yes—
1521#124C22×D7912yes—
1522#124C22×D7912yes—
1523#124C22×D7914yes—
1524#124C22×D7912yes—
1525#123—794no—
1526#123—794no—
1527#123—794no—
1528#123—794no—
1529#123—794no—
1530#123—794no—
1531#123—794no—
1532#123—794no—
1533#123—794no—
1534#123—794no—
1535#123—794no—
1536#123—794no—
1537#123—792no—
1538#123—794no—
1539#123—794no—
1540#123—794no—
1541#123—792no—
1542#123—792no—
1543#123—792no—
1544#123—792no—
1545#123—792no—
1546#123—794no—
1547#123—794no—
1548#123—794no—
1549#123—794no—
1550#123—792no—
1551#123—792no—
1552#123—792no—
1553#123—792no—
1554#123—794no—
1555#123—792no—
1556#123—794no—
1557#123—794no—
1558#123—794no—
1559#123—794no—
1560#123—794no—
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×D7912yes—
1572#123C22×D7914yes—
1573#123C22×D7914yes—
1574C22⋊Q8—792no—
1575C22⋊Q8—794no—
1576C22⋊Q8—792no—
1577C22⋊Q8—792no—
1578C22⋊Q8—794no—
1579C22⋊Q8—794no—
1580C22⋊Q8—794no—
1581C22⋊Q8—794no—
1582C22⋊Q8—794no—
1583C22⋊Q8—792no—
1584C22⋊Q8—792no—
1585C22⋊Q8—792no—
1586C22⋊Q8—792no—
1587C22⋊Q8—792no—
1588C22⋊Q8—791no—
1589C22⋊Q8—792no—
1590C22⋊Q8—792no—
1591C22⋊Q8—794no—
1592C22⋊Q8—794no—
1593C22⋊Q8—794no—
1594C22⋊Q8—794no—
1595C22⋊Q8—794no—
1596C22⋊Q8—794no—
1597C22⋊Q8—794no—
1598C22⋊Q8—792no—
1599C22⋊Q8—792no—
1600C22⋊Q8—792no—
1601C22⋊Q8—792no—
1602C22⋊Q8—792no—
1603C22⋊Q8—792no—
1604C22⋊Q8—792no—
1605C22⋊Q8—794no—
1606C22⋊Q8—792no—
1607C22⋊Q8—794no—
1608C22⋊Q8—794no—
1609C22⋊Q8—794no—
1610C22⋊Q8—794no—
1611C22⋊Q8—792no—
1612C22⋊Q8—792no—
1613C22⋊Q8—794no—
1614C22⋊Q8—794no—
1615C22⋊Q8—794no—
1616C22⋊Q8—794no—
1617C22⋊Q8—794no—
1618C22⋊Q8—794no—
1619C22⋊Q8—794no—
1620C22⋊Q8—794no—
1621C22⋊Q8—794no—
1622C22⋊Q8—794no—
1623C22⋊Q8—794no—
1624C22⋊Q8—794no—
1625C22⋊Q8—794no—
1626C22⋊Q8—794no—
1627C22⋊Q8—794no—
1628C22⋊Q8C22×D7912yes—
1629C22⋊Q8C22×D7911yescharacteristic
1630C22⋊Q8C22×D7912yes—
1631C22⋊Q8C22×D7914yes—
1632C22⋊Q8C22×D7914yes—
1633#121—794no—
1634#121—792no—
1635#121—794no—
1636#121—792no—
1637#121—792no—
1638#121—792no—
1639#121—792no—
1640#121—792no—
1641#121—792no—
1642#121—794no—
1643#121—794no—
1644#121—792no—
1645#121—794no—
1646#121—792no—
1647#121—794no—
1648#121—794no—
1649#121—794no—
1650#121—792no—
1651#121—794no—
1652#121—794no—
1653#121—794no—
1654#121—794no—
1655#121—794no—
1656#121—794no—
1657#121—794no—
1658#121—794no—
1659#121—794no—
1660#121—794no—
1661#121—794no—
1662#121—791no—
1663#121—792no—
1664#121—792no—
1665#121—792no—
1666#121—792no—
1667#121—794no—
1668#121—792no—
1669#121—794no—
1670#121—792no—
1671#121—792no—
1672#121—792no—
1673#121—792no—
1674#121—792no—
1675#121—792no—
1676#121—794no—
1677#121—792no—
1678#121—792no—
1679#121—794no—
1680#121—794no—
1681#121—792no—
1682#121—794no—
1683#121—794no—
1684#121—794no—
1685#121—794no—
1686#121—794no—
1687#121—794no—
1688#121—794no—
1689#121C22×D7912yes—
1690#121C22×D7911yescharacteristic
1691#121C22×D7912yes—
1692#121C22×D7914yes—
1693#121C22×D7912yes—
1694#121C22×D7912yes—
1695#121C22×D7914yes—
1696#120—794no—
1697#120—794no—
1698#120—794no—
1699#120—794no—
1700#120—792no—
1701#120—794no—
1702#120—792no—
1703#120—792no—
1704#120—792no—
1705#120—792no—
1706#120—792no—
1707#120C22×D7914yes—
1708#120C22×D7914yes—
1709C4×Q8—792no—
1710C4×Q8—794no—
1711C4×Q8—792no—
1712C4×Q8—794no—
1713C4×Q8—794no—
1714C4×Q8—792no—
1715C4×Q8—794no—
1716C4×Q8—792no—
1717C4×Q8—792no—
1718C4×Q8—794no—
1719C4×Q8—792no—
1720C4×Q8—792no—
1721C4×Q8—791no—
1722C4×Q8—794no—
1723C4×Q8—794no—
1724C4×Q8—792no—
1725C4×Q8—792no—
1726C4×Q8C22×D7911yescharacteristic
1727C4×Q8C22×D7911yescharacteristic
1728C4×Q8C22×D7911yescharacteristic
1729C4×Q8C22×D7912yes—
1730C4×D4—792no—
1731C4×D4—792no—
1732C4×D4—794no—
1733C4×D4—794no—
1734C4×D4—794no—
1735C4×D4—794no—
1736C4×D4—794no—
1737C4×D4—794no—
1738C4×D4—792no—
1739C4×D4—792no—
1740C4×D4—792no—
1741C4×D4—794no—
1742C4×D4—794no—
1743C4×D4—794no—
1744C4×D4—794no—
1745C4×D4—794no—
1746C4×D4—794no—
1747C4×D4—794no—
1748C4×D4—794no—
1749C4×D4—794no—
1750C4×D4—794no—
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—792no—
1762C4×D4—792no—
1763C4×D4—794no—
1764C4×D4—792no—
1765C4×D4—791no—
1766C4×D4—792no—
1767C4×D4—792no—
1768C4×D4—792no—
1769C4×D4—792no—
1770C4×D4C22×D7912yes—
1771C4×D4C22×D7911yescharacteristic
1772C4×D4C22×D7912yes—
1773C4×D4C22×D7911yescharacteristic
1774C4×D4C22×D7912yes—
1775C4×D4C22×D7914yes—
1776C4×D4C22×D7912yes—
1777C4×D4C22×D7914yes—
1778C4×D4C22×D7912yes—
1779C4×D4C22×D7911yescharacteristic
1780C4×D4C22×D7912yes—
1781C4×D4C22×D7912yes—
1782C4×D4C22×D7912yes—
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—794no—
1793#117—792no—
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—794no—
1803#117—792no—
1804#117—794no—
1805#117—792no—
1806#117—794no—
1807#117—794no—
1808#117—794no—
1809#117C22×D7912yes—
1810#117C22×D7911yescharacteristic
1811#117C22×D7912yes—
1812#117C22×D7912yes—
1813#117C22×D7914yes—
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—794no—
1821C2×C4⋊C4—794no—
1822C2×C4⋊C4—792no—
1823C2×C4⋊C4—792no—
1824C2×C4⋊C4—792no—
1825C2×C4⋊C4—792no—
1826C2×C4⋊C4—792no—
1827C2×C4⋊C4—794no—
1828C2×C4⋊C4—794no—
1829C2×C22⋊C4—794no—
1830C2×C22⋊C4—794no—
1831C2×C22⋊C4—794no—
1832C2×C22⋊C4—794no—
1833C2×C22⋊C4—794no—
1834C2×C22⋊C4C22×D7914yes—
1835C2×C22⋊C4C22×D7914yes—
1836C2×C22⋊C4C22×D7914yes—
1837C2×C42—794no—
1838C2×C42—794no—
1839C2×C42—792no—
1840C2×C42C22×D7912yes—
1841C2×C42C22×D7911yescharacteristic
1842C24—792no—
1843C24C23×D7914yes—
1844#41—42no—
1845#41—82no—
1846#41—3164no—
1847#41—3162no—
1848#41—3162no—
1849#41—3164no—
1850#41—3164no—
1851#41—6324no—
1852#41—6324no—
1853#41—6324no—
1854#41—6324no—
1855C2×Q8—82no—
1856C2×Q8—3164no—
1857C2×Q8—791no—
1858C2×Q8—791no—
1859C2×Q8—794no—
1860C2×Q8—792no—
1861C2×Q8—791no—
1862C2×Q8—794no—
1863C2×Q8—794no—
1864C2×Q8—792no—
1865C2×Q8—794no—
1866C2×Q8—792no—
1867C2×Q8—6324no—
1868C2×Q8C23×D7911yescharacteristic
1869C2×Q8C23×D7914yes—
1870C2×Q8C23×D7912yes—
1871C2×Q8C23×D7911yescharacteristic
1872C2×D4—44no—
1873C2×D4—82no—
1874C2×D4—792no—
1875C2×D4—794no—
1876C2×D4—794no—
1877C2×D4—792no—
1878C2×D4—792no—
1879C2×D4—794no—
1880C2×D4—792no—
1881C2×D4—794no—
1882C2×D4—792no—
1883C2×D4—792no—
1884C2×D4—794no—
1885C2×D4—792no—
1886C2×D4—794no—
1887C2×D4—794no—
1888C2×D4—794no—
1889C2×D4—794no—
1890C2×D4—791no—
1891C2×D4—792no—
1892C2×D4—792no—
1893C2×D4—791no—
1894C2×D4—792no—
1895C2×D4—791no—
1896C2×D4—792no—
1897C2×D4—792no—
1898C2×D4—6324no—
1899C2×D4C23×D7912yes—
1900C2×D4C23×D7911yescharacteristic
1901C2×D4C23×D7912yes—
1902C2×D4C23×D7912yes—
1903C2×D4C23×D7914yes—
1904C2×D4C23×D7914yes—
1905C2×D4C23×D7912yes—
1906C2×D4C23×D7914yes—
1907C2×D4C23×D7911yescharacteristic
1908C2×D4C23×D7912yes—
1909C22×C4—3164no—
1910C22×C4—794no—
1911C22×C4—794no—
1912C22×C4—792no—
1913C22×C4—794no—
1914C22×C4—794no—
1915C22×C4—794no—
1916C22×C4—792no—
1917C22×C4—792no—
1918C22×C4—792no—
1919C22×C4—794no—
1920C22×C4—794no—
1921C22×C4—792no—
1922C22×C4—792no—
1923C22×C4—794no—
1924C22×C4—794no—
1925C22×C4—792no—
1926C22×C4—794no—
1927C22×C4—794no—
1928C22×C4—792no—
1929C22×C4—792no—
1930C22×C4—792no—
1931C22×C4C23×D7911yescharacteristic
1932C22×C4C23×D7912yes—
1933C22×C4C23×D7914yes—
1934C22×C4C23×D7912yes—
1935C22×C4C23×D7912yes—
1936C22×C4C23×D7911yescharacteristic
1937C22×C4C23×D7911yescharacteristic
1938C22×C4C23×D7912yes—
1939C22×C4C23×D7914yes—
1940C22×C4C23×D7914yes—
1941C4⋊C4—794no—
1942C4⋊C4—792no—
1943C4⋊C4—794no—
1944C4⋊C4—794no—
1945C4⋊C4—792no—
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—794no—
1956C4⋊C4—794no—
1957C4⋊C4—794no—
1958C4⋊C4—794no—
1959C4⋊C4—792no—
1960C4⋊C4—794no—
1961C4⋊C4—794no—
1962C4⋊C4—794no—
1963C4⋊C4—792no—
1964C4⋊C4—794no—
1965C4⋊C4—794no—
1966C4⋊C4—792no—
1967C4⋊C4—792no—
1968C4⋊C4—794no—
1969C4⋊C4—794no—
1970C4⋊C4—792no—
1971C4⋊C4—792no—
1972C4⋊C4—792no—
1973C4⋊C4—792no—
1974C4⋊C4—792no—
1975C4⋊C4—792no—
1976C4⋊C4—792no—
1977C4⋊C4—794no—
1978C4⋊C4—794no—
1979C4⋊C4—794no—
1980C4⋊C4—794no—
1981C4⋊C4—792no—
1982C4⋊C4—792no—
1983C4⋊C4—792no—
1984C4⋊C4—794no—
1985C4⋊C4—791no—
1986C4⋊C4—792no—
1987C4⋊C4—791no—
1988C4⋊C4—792no—
1989C4⋊C4—794no—
1990C4⋊C4—792no—
1991C4⋊C4—794no—
1992C4⋊C4—792no—
1993C4⋊C4C23×D7912yes—
1994C4⋊C4C23×D7911yescharacteristic
1995C4⋊C4C23×D7911yescharacteristic
1996C4⋊C4C23×D7914yes—
1997C4⋊C4C23×D7914yes—
1998C4⋊C4C23×D7912yes—
1999C4⋊C4C23×D7912yes—
2000C4⋊C4C23×D7912yes—
2001C4⋊C4C23×D7912yes—
2002C4⋊C4C23×D7912yes—
2003C4⋊C4C23×D7912yes—
2004C4⋊C4C23×D7911yescharacteristic
2005C4⋊C4C23×D7911yescharacteristic
2006C4⋊C4C23×D7912yes—
2007C22⋊C4—794no—
2008C22⋊C4—792no—
2009C22⋊C4—792no—
2010C22⋊C4—794no—
2011C22⋊C4—794no—
2012C22⋊C4—794no—
2013C22⋊C4—794no—
2014C22⋊C4—794no—
2015C22⋊C4—794no—
2016C22⋊C4—794no—
2017C22⋊C4—794no—
2018C22⋊C4—794no—
2019C22⋊C4—794no—
2020C22⋊C4—794no—
2021C22⋊C4—794no—
2022C22⋊C4—794no—
2023C22⋊C4—794no—
2024C22⋊C4—792no—
2025C22⋊C4—794no—
2026C22⋊C4—794no—
2027C22⋊C4—794no—
2028C22⋊C4—794no—
2029C22⋊C4—792no—
2030C22⋊C4—792no—
2031C22⋊C4—792no—
2032C22⋊C4—792no—
2033C22⋊C4—792no—
2034C22⋊C4—794no—
2035C22⋊C4—792no—
2036C22⋊C4—794no—
2037C22⋊C4—794no—
2038C22⋊C4—792no—
2039C22⋊C4—792no—
2040C22⋊C4—794no—
2041C22⋊C4—792no—
2042C22⋊C4—792no—
2043C22⋊C4—792no—
2044C22⋊C4—792no—
2045C22⋊C4—792no—
2046C22⋊C4—792no—
2047C22⋊C4—792no—
2048C22⋊C4—794no—
2049C22⋊C4—792no—
2050C22⋊C4C23×D7914yes—
2051C22⋊C4C23×D7914yes—
2052C22⋊C4C23×D7912yes—
2053C22⋊C4C23×D7912yes—
2054C22⋊C4C23×D7912yes—
2055C22⋊C4C23×D7912yes—
2056C22⋊C4C23×D7914yes—
2057C22⋊C4C23×D7914yes—
2058C22⋊C4C23×D7914yes—
2059C22⋊C4C23×D7914yes—
2060C22⋊C4C23×D7914yes—
2061C22⋊C4C23×D7912yes—
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—794no—
2076C42—794no—
2077C42—794no—
2078C42—794no—
2079C42—794no—
2080C42C23×D7914yes—
2081C42C23×D7912yes—
2082C42C23×D7911yescharacteristic
2083C42C23×D7912yes—
2084C42C23×D7911yescharacteristic
2085C42C23×D7912yes—
2086C42C23×D7912yes—
2087C42C23×D7911yescharacteristic
2088C42C23×D7911yescharacteristic
2089C23—44no—
2090C23—44no—
2091C23—44no—
2092C23—3162no—
2093C23—3162no—
2094C23—3162no—
2095C23—792no—
2096C23—792no—
2097C23—792no—
2098C23C24×D7912yes—
2099C23C24×D7912yes—
2100C23C24×D7914yes—
2101C23C24×D7911yescharacteristic
2102Q8—22no—
2103Q8—41no—
2104Q8—44no—
2105Q8—42no—
2106Q8—3164no—
2107Q8—3164no—
2108Q8—3164no—
2109Q8—3164no—
2110Q8—3161no—
2111Q8—3161no—
2112Q8—3162no—
2113Q8—3162no—
2114Q8—3161no—
2115Q8—1584no—
2116D4—22no—
2117D4—24no—
2118D4—44no—
2119D4—41no—
2120D4—42no—
2121D4—44no—
2122D4—42no—
2123D4—42no—
2124D4—42no—
2125D4—44no—
2126D4—3161no—
2127D4—3161no—
2128D4—3162no—
2129D4—3162no—
2130D4—3162no—
2131D4—3161no—
2132D4—3162no—
2133D4—3162no—
2134D4—3164no—
2135D4—3164no—
2136D4—3162no—
2137D4—3164no—
2138D4—3164no—
2139D4—3164no—
2140D4—3164no—
2141D4—3162no—
2142D4—3164no—
2143D4—3164no—
2144D4—3162no—
2145D4—3162no—
2146D4—3162no—
2147D4—3164no—
2148D4—3162no—
2149D4—3162no—
2150C2×C4—24no—
2151C2×C4—22no—
2152C2×C4—42no—
2153C2×C4—44no—
2154C2×C4—41no—
2155C2×C4—42no—
2156C2×C4—44no—
2157C2×C4—42no—
2158C2×C4—41no—
2159C2×C4—44no—
2160C2×C4—3162no—
2161C2×C4—3162no—
2162C2×C4—3164no—
2163C2×C4—3162no—
2164C2×C4—3164no—
2165C2×C4—3164no—
2166C2×C4—3164no—
2167C2×C4—3164no—
2168C2×C4—3164no—
2169C2×C4—3162no—
2170C2×C4—3162no—
2171C2×C4—3164no—
2172C2×C4—3164no—
2173C2×C4—3164no—
2174C2×C4—3162no—
2175C2×C4—3164no—
2176C2×C4—3162no—
2177C2×C4—3164no—
2178C2×C4—792no—
2179C2×C4—792no—
2180C2×C4—794no—
2181C2×C4—794no—
2182C2×C4—792no—
2183C2×C4—792no—
2184C2×C4—794no—
2185C2×C4—792no—
2186C2×C4—794no—
2187C2×C4—1584no—
2188C2×C4—1584no—
2189C2×C4—1584no—
2190C2×C4C24×D7912yes—
2191C2×C4C24×D7911yescharacteristic
2192C2×C4C24×D7912yes—
2193C2×C4C24×D7912yes—
2194C2×C4C24×D7912yes—
2195C2×C4C24×D7912yes—
2196C2×C4C24×D7912yes—
2197C2×C4C24×D7914yes—
2198C2×C4C24×D7911yescharacteristic
2199C2×C4C24×D7911yescharacteristic
2200C2×C4C24×D7911yescharacteristic
2201C2×C4C24×D7911yescharacteristic
2202C2×C4C24×D7911yescharacteristic
2203C22—22no—
2204C22—21no—
2205C22—22no—
2206C22—24no—
2207C22—22no—
2208C22—21no—
2209C22—24no—
2210C22—22no—
2211C22—21no—
2212C22—24no—
2213C22—22no—
2214C22—22no—
2215C22—164no—
2216C22—6324no—
2217C22—1582no—
2218C22—1582no—
2219C22—1582no—
2220C22—1582no—
2221C22—1582no—
2222C22—1582no—
2223C22—1582no—
2224C22—1582no—
2225C22—1582no—
2226C22C25×D7911yescharacteristic
2227C4—21no—
2228C4—22no—
2229C4—22no—
2230C4—21no—
2231C4—21no—
2232C4—24no—
2233C4—22no—
2234C4—22no—
2235C4—22no—
2236C4—21no—
2237C4—22no—
2238C4—21no—
2239C4—1582no—
2240C4—1584no—
2241C4—1582no—
2242C4—1582no—
2243C4—1584no—
2244C4—1584no—
2245C4—1582no—
2246C4—1584no—
2247C4—1582no—
2248C4#1909939912yes—
2249C2—42no—
2250C2—42no—
2251C2—44no—
2252C2—41no—
2253C2—3162no—
2254C2—3162no—
2255C2—3162no—
2256C2C2×#1909939911yescharacteristic
2257C2#2377821011yescharacteristic
2258C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3514C2
hypercenter#3514D79
hypocenterC79#63065
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3514

Complements

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

NH ≅ G/Ntype
1. #23778088C2semidirect
2. #23778067C2semidirect
3. #23778012C2semidirect
4. #23778003C2semidirect
5. #23777981C2semidirect
6. #23777972C2semidirect
7. #23777944C2semidirect
8. #23777938C2semidirect
9. #23777842C2semidirect
10. #23777820C2semidirect
11. #23777817C2semidirect
12. #23777798C2semidirect
13. #23777781C2semidirect
14. #23777757C2semidirect
15. #23777737C2semidirect
16. #23777721C2semidirect
17. #23777689C2semidirect
18. #23777620C2semidirect
19. #23777545C2semidirect
20. #23777539C2semidirect
21. #23777504C2semidirect
22. #23777456C2semidirect
23. #23777417C2semidirect
24. #23777322C2semidirect
25. #23777300C2semidirect
26. #23777145C2semidirect
27. #23777125C2semidirect
28. #23777111C2semidirect
29. C79×#3514C2semidirect
30. C79⋊#564C22semidirect
31. #19099317C22semidirect
32. #19099316C22semidirect
33. #19099316C22semidirect
34. #19099315C22semidirect
35. #19099315C22semidirect
36. #19099315C22semidirect
37. #19099314C22semidirect
38. #19099314C22semidirect
40. #19099313C22semidirect
41. #19099311C22semidirect
42. #19099310C22semidirect
43. #19099310C22semidirect
44. #19099309C22semidirect
45. #19099309C22semidirect
46. #19099308C22semidirect
47. #19099308C22semidirect
49. #19099307C22semidirect
50. #19099307C22semidirect
51. #19099307C22semidirect
53. #19099304C22semidirect
54. #19099303C22semidirect
56. #19099302C22semidirect
58. #19099297C22semidirect
59. Q8×Dic158C22semidirect
60. #19099291C22semidirect
61. #19099287C22semidirect
62. #19099283C22semidirect
63. #19099283C22semidirect
64. #19099282C22semidirect
65. #19099281C22semidirect
66. #19099281C22semidirect
67. #19099281C22semidirect
69. #19099278C22semidirect
70. #19099278C22semidirect
72. #19099277C22semidirect
73. #19099275C22semidirect
74. #19099275C22semidirect
75. #19099274C22semidirect
76. #19099274C22semidirect
77. #19099272C22semidirect
78. #19099271C22semidirect
79. #19099271C22semidirect
80. #19099270C22semidirect
81. #19099270C22semidirect
82. #19099265C22semidirect
83. #19099264C22semidirect
84. #19099263C22semidirect
85. #19099263C22semidirect
86. #19099263C22semidirect
87. #19099263C22semidirect
88. #19099263C22semidirect
89. #19099262C22semidirect
90. #19099262C22semidirect
91. #19099262C22semidirect
92. #19099262C22semidirect
93. #19099260C22semidirect
94. #19099257C22semidirect
95. #19099256C22semidirect
96. #19099254C22semidirect
97. #19099254C22semidirect
98. #19099254C22semidirect
100. #19099253C22semidirect
101. #19099253C22semidirect
102. #19099252C22semidirect
103. #19099250C22semidirect
104. #19099250C22semidirect
105. #19099249C22semidirect
106. #19099249C22semidirect
107. #19099247C22semidirect
108. #19099246C22semidirect
109. #19099244C22semidirect
111. #19099239C22semidirect
112. #19099239C22semidirect
113. #19099239C22semidirect
114. #19099239C22semidirect
115. #19099239C22semidirect
116. #19099238C22semidirect
117. #19099234C22semidirect
118. #19099233C22semidirect
119. Q8×D316C22semidirect
120. Q8×C22⋊D79C22semidirect
121. #19099223C22semidirect
122. #19099221C22semidirect
123. #19099221C22semidirect
124. #19099221C22semidirect
125. #19099221C22semidirect
126. #19099220C22semidirect
128. #19099218C22semidirect
129. #19099217C22semidirect
130. #19099213C22semidirect
131. #19099213C22semidirect
132. #19099212C22semidirect
133. #19099211C22semidirect
136. #19099207C22semidirect
137. #19099203C22semidirect
138. #19099203C22semidirect
139. #19099203C22semidirect
140. #19099200C22semidirect
141. #19099192C22semidirect
142. #19099192C22semidirect
143. #19099191C22semidirect
144. #19099190C22semidirect
145. #19099190C22semidirect
146. #19099189C22semidirect
147. #19099182C22semidirect
148. #19099182C22semidirect
149. #19099178C22semidirect
150. #19099178C22semidirect
151. #19099178C22semidirect
152. #19099178C22semidirect
154. #19099177C22semidirect
155. #19099177C22semidirect
156. #19099177C22semidirect
157. #19099177C22semidirect
158. #19099175C22semidirect
159. #19099175C22semidirect
160. #19099173C22semidirect
161. #19099170C22semidirect
162. #19099170C22semidirect
163. #19099168C22semidirect
164. #19099167C22semidirect
165. #19099166C22semidirect
166. #19099165C22semidirect
167. #19099165C22semidirect
168. #19099164C22semidirect
169. #19099163C22semidirect
170. #19099163C22semidirect
171. #19099159C22semidirect
172. #19099159C22semidirect
174. #19099158C22semidirect
175. #19099157C22semidirect
176. #19099156C22semidirect
177. #19099155C22semidirect
178. #19099155C22semidirect
179. #19099151C22semidirect
180. #19099151C22semidirect
181. #19099149C22semidirect
183. #19099148C22semidirect
184. #19099148C22semidirect
185. #19099147C22semidirect
186. #19099147C22semidirect
187. #19099145C22semidirect
189. #19099142C22semidirect
190. #19099142C22semidirect
191. #19099142C22semidirect
193. #19099141C22semidirect
194. #19099141C22semidirect
195. #19099140C22semidirect
196. #19099137C22semidirect
197. #19099136C22semidirect
198. #19099136C22semidirect
199. #19099133C22semidirect
201. #19099128C22semidirect
203. #19099120C22semidirect
204. #19099120C22semidirect
205. #19099117C22semidirect
206. #19099116C22semidirect
207. #19099113C22semidirect
208. #19099110C22semidirect
209. #19099110C22semidirect
210. #19099108C22semidirect
211. C4⋊Q8×D79C22semidirect
212. #19099100C22semidirect
213. #19099097C22semidirect
214. #19099097C22semidirect
215. #19099097C22semidirect
216. #19099097C22semidirect
217. #19099096C22semidirect
218. #19099095C22semidirect
219. #19099095C22semidirect
220. #19099093C22semidirect
221. #19099093C22semidirect
222. #19099092C22semidirect
223. #19099092C22semidirect
224. #19099091C22semidirect
225. #19099091C22semidirect
226. #19099090C22semidirect
227. C2×#14579154C22semidirect
228. C2×#14579153C22semidirect
229. #19099075C22semidirect
230. #19099073C22semidirect
232. #19099072C22semidirect
233. C22⋊Q8×D79C22semidirect
234. C2×#14579132C22semidirect
235. #19099043C22semidirect
236. #19099043C22semidirect
237. #19099043C22semidirect
238. #19099042C22semidirect
239. #19099039C22semidirect
240. C4×#11929623C22semidirect
241. #117×D79C22semidirect
242. #559×C79C22semidirect
244. #555×C79C22semidirect
245. #551×C79C22semidirect
246. D4×Q8×C79C22semidirect
247. #548×C79C22semidirect
249. #546×C79C22semidirect
251. #542×C79C22semidirect
252. #538×C79C22semidirect
253. #532×C79C22semidirect
255. #529×C79C22semidirect
257. #518×C79C22semidirect
258. C4×#41×C79C22semidirect
1153. #3514D79semidirect
1159. C79#63065semidirect
1189. #559C2×D79semidirect
1207. #555C2×D79semidirect
1250. #551C2×D79semidirect
1255. D4×Q8C2×D79semidirect
1262. #548C2×D79semidirect
1278. #546C2×D79semidirect
1297. #542C2×D79semidirect
1328. #538C2×D79semidirect
1352. #532C2×D79semidirect
1370. #529C2×D79semidirect
1385. #518C2×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
#237780672
#237780122
#237780032
#237779812
#237779722
#237779442
#237779382
#237778422
#237778202
#237778172
#237777982
#237777812
#237777572
#237777372
#237777212
#237776892
#237776202
#237775452
#237775392
#237775042
#237774562
#237774172
#237773222
#237773002
#237771452
#237771252
#237771112
C79×#35142
#6306579