Finite Group Databasebeta

← #35201980

Subgroups — #35201980

Order 20224.

7352 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777923C212yesmaximal, complemented
2#23777913C214yesmaximal, complemented
3#23777824C212yesmaximal, complemented
4#23777815C214yesmaximal, complemented
5#23777804C212yesmaximal, complemented
6#23777726C218yesmaximal, complemented
7#23777725C214yesmaximal, complemented
8#23777723C214yesmaximal, complemented
9#23777703C218yesmaximal, complemented
10#23777633C212yesmaximal, complemented
11#23777630C214yesmaximal, complemented
12#23777540C212yesmaximal, complemented
13#23777536C211yesmaximal, characteristic, complemented
14#23777500C214yesmaximal, complemented
15#23777398C212yesmaximal, complemented
16#23777187C211yesmaximal, characteristic, complemented
17#23777175C212yesmaximal, complemented
18#23777060C214yesmaximal, complemented
19#23777056C212yesmaximal, complemented
20C79×#3549C211yesmaximal, characteristic, complemented
21C2×#14579208C2211yescharacteristic, complemented
22C2×#14579207C2211yescharacteristic, complemented
23C2×#14579206C2212yescomplemented
24C22×#11929623C2212yescomplemented
25#19099313C2211yescharacteristic, complemented
26#19099313C2214yescomplemented
27#19099312C2212yescomplemented
28#19099308C2214yescomplemented
29#19099307C2212yescomplemented
30#19099307C2214yescomplemented
31#19099307C2218yescomplemented
32#19099305C2211yescharacteristic, complemented
33#19099305C2214yescomplemented
34#19099302C2214yescomplemented
35#19099302C2218yescomplemented
36#19099302C2214yescomplemented
37#19099301C2214yescomplemented
38#19099301C2218yescomplemented
39#19099301C2218yescomplemented
40#19099300C2212yescomplemented
41#19099300C2214yescomplemented
42#19099296C2214yescomplemented
43#19099295C2218yescomplemented
44#19099288C2212yescomplemented
45#19099275C2214yescomplemented
46#19099275C2218yescomplemented
47#19099262C2218yescomplemented
48#19099260C2214yescomplemented
49#19099257C2214yescomplemented
50#19099256C2218yescomplemented
51#19099252C2214yescomplemented
52#19099246C2218yescomplemented
53#19099244C2214yescomplemented
54#19099237C2218yescomplemented
55#19099233C2218yescomplemented
56#19099233C2212yescomplemented
57#19099233C2212yescomplemented
58#19099232C2214yescomplemented
59#19099231C2214yescomplemented
60#19099231C2214yescomplemented
61#19099231C2214yescomplemented
62#19099222C2214yescomplemented
63#19099221C2218yescomplemented
64#19099219C2214yescomplemented
65#19099219C2214yescomplemented
66#19099216C2212yescomplemented
67#19099212C2214yescomplemented
68#19099209C2214yescomplemented
69#19099208C2214yescomplemented
70#19099207C2214yescomplemented
71#19099206C2218yescomplemented
72#19099202C2218yescomplemented
73#19099202C2218yescomplemented
74#19099201C2218yescomplemented
75#19099200C2218yescomplemented
76#19099200C2218yescomplemented
77#19099198C2214yescomplemented
78#19099197C2214yescomplemented
79#19099197C2214yescomplemented
80D4×C22⋊D79C2218yescomplemented
81D4×C22⋊D79C2214yescomplemented
82D4×C22⋊D79C2218yescomplemented
83#19099195C2218yescomplemented
84#19099195C2214yescomplemented
85#19099195C2218yescomplemented
86#19099195C2218yescomplemented
87#19099187C2214yescomplemented
88#19099177C2218yescomplemented
89#19099168C2218yescomplemented
90#19099167C2218yescomplemented
91#19099166C2214yescomplemented
92#19099164C2214yescomplemented
93#19099163C2218yescomplemented
94#19099163C2218yescomplemented
95#19099163C2218yescomplemented
96#19099150C2214yescomplemented
97#19099148C2218yescomplemented
98#19099147C2218yescomplemented
99#19099147C2218yescomplemented
100#19099146C2218yescomplemented
101#19099142C2214yescomplemented
102#19099140C2218yescomplemented
103#19099138C2212yescomplemented
104#19099134C2211yescharacteristic, complemented
105#19099132C2212yescomplemented
106#19099131C2214yescomplemented
107#19099131C2218yescomplemented
108#19099130C2212yescomplemented
109#19099128C2214yescomplemented
110#19099128C2218yescomplemented
111#19099128C2214yescomplemented
112#19099128C2218yescomplemented
113#19099127C2211yescharacteristic, complemented
114#19099126C2214yescomplemented
115#19099126C2212yescomplemented
116#19099126C2214yescomplemented
117#19099123C2218yescomplemented
118#19099123C2218yescomplemented
119#19099122C2218yescomplemented
120#19099121C2218yescomplemented
121#19099121C2214yescomplemented
122#19099112C2212yescomplemented
123#19099112C2214yescomplemented
124#19099112C2214yescomplemented
125#19099109C2212yescomplemented
126C2×#14579157C2212yescomplemented
127#127×D79C2214yescomplemented
128#19099097C2212yescomplemented
129#19099094C2214yescomplemented
130#19099093C2214yescomplemented
131#19099092C2214yescomplemented
132#19099092C2218yescomplemented
133#19099091C2218yescomplemented
134C2×#14579149C2211yescharacteristic, complemented
135#124×D79C2212yescomplemented
136#19099075C2212yescomplemented
137#19099072C2214yescomplemented
138#19099070C2212yescomplemented
139#19099069C2214yescomplemented
140#19099069C2218yescomplemented
141#19099069C2214yescomplemented
142C2×#14579133C2218yescomplemented
143#121×D79C2214yescomplemented
144#19099042C2214yescomplemented
145#19099040C2212yescomplemented
146C4×#11929624C2211yescharacteristic, complemented
147#19099031C2212yescomplemented
148H(3,𝔽4)×C79C2212yescomplemented
149H(3,𝔽4)×C79C2212yescomplemented
150#555×C79C2212yescomplemented
151#555×C79C2214yescomplemented
152D42×C79C2214yescomplemented
153D42×C79C2212yescomplemented
154#535×C79C2212yescomplemented
155#535×C79C2212yescomplemented
156#535×C79C2218yescomplemented
157#532×C79C2211yescharacteristic, complemented
158#532×C79C2212yescomplemented
159#14579208—44no—
160#14579207—44no—
161#14579206—48no—
162C2×#11929625C2312yes—
163C2×#11929625C2314yes—
164C2×#11929624C2312yes—
165C2×#11929624C2311yescharacteristic
166C2×#11929624C2312yes—
167C2×#11929624C2312yes—
168C2×#11929623—48no—
169C2×#11929623C2314yes—
170C2×#11929623C2314yes—
171C2×#11929623C2318yes—
172C2×#11929623C2314yes—
173C2×#11929623C2312yes—
174C2×#11929623C2314yes—
175C2×#11929623C2314yes—
176C22×Dic158C2312yes—
177C22×Dic158C2311yescharacteristic
178C2×Q8×D79C2312yes—
179C22×D316C2311yescharacteristic
180C22×D316C2312yes—
181C22×C22⋊D79C2318yes—
182C22×C22⋊D79C2314yes—
183C22×C22⋊D79C2318yes—
184C22×C22⋊D79C2318yes—
185C2×D4×D79C2314yes—
186C2×D4×D79C2314yes—
187C2×D4×D79C2312yes—
188C2×D4×D79C2314yes—
189C2×D4×D79C2318yes—
190C2×D4×D79C2318yes—
191C2×D4×D79C2318yes—
192C23×Dic79C2314yes—
193C22×C4×D79C2312yes—
194#14579159C2312yes—
195#14579159C2314yes—
196#14579159C2312yes—
197#14579158C2314yes—
198#14579157C2314yes—
199#14579157C2318yes—
200#14579157C2318yes—
201#14579157C2314yes—
202#14579157C2314yes—
203#14579157C2314yes—
204#14579157C2312yes—
205#14579157C2318yes—
206#14579157C2312yes—
207#14579157C2314yes—
208#14579156C2318yes—
209#14579156C2314yes—
210#14579155C2314yes—
211#14579155C2318yes—
212#14579154C2318yes—
213#14579154C2318yes—
214#14579154C2318yes—
215#14579154C2314yes—
216#14579153C2318yes—
217#14579153C2312yes—
218#14579152C2314yes—
219#14579151C2314yes—
220#14579151C2318yes—
221#14579150C2312yes—
222#14579150C2318yes—
223#14579150C2312yes—
224#14579149C2312yes—
225#14579149C2314yes—
226#14579149C2314yes—
227#14579149C2312yes—
228#14579149C2312yes—
229#14579148C2312yes—
230#14579148C2314yes—
231#14579148C2312yes—
232#14579147C2318yes—
233#14579147C2318yes—
234#14579147C2318yes—
235#14579147C2318yes—
236#14579147C2314yes—
237#14579146C2318yes—
238#14579146C2318yes—
239#14579146C2318yes—
240#14579146C2314yes—
241#14579145C2318yes—
242#14579145C2318yes—
243#14579145C2314yes—
244#14579145C2314yes—
245#14579144C2318yes—
246#14579144C2314yes—
247#14579144C2318yes—
248#14579143C2314yes—
249#14579143C2318yes—
250#14579143C2318yes—
251#14579143C2318yes—
252#14579143C2318yes—
253#14579143C2318yes—
254#14579142C2318yes—
255#14579142C2318yes—
256#14579142C2318yes—
257#14579142C2314yes—
258#14579142C2314yes—
259#14579142C2312yes—
260#14579142C2312yes—
261#14579141C2314yes—
262#14579140C2314yes—
263#14579140C2312yes—
264#14579139C2318yes—
265#14579139C2314yes—
266#14579138C2318yes—
267#14579138C2318yes—
268#14579138C2318yes—
269#14579138C2314yes—
270#14579138C2314yes—
271#14579137C2314yes—
272#14579137C2314yes—
273#14579137C2318yes—
274#14579136C2314yes—
275#14579136C2314yes—
276#14579135C2318yes—
277#14579135C2318yes—
278#14579135C2314yes—
279#14579135C2312yes—
280#14579134C2318yes—
281#14579134C2318yes—
282#14579134C2318yes—
283#14579134C2318yes—
284#14579134C2318yes—
285#14579134C2318yes—
286#14579134C2318yes—
287#14579134C2318yes—
288#14579134C2318yes—
289#14579134C2318yes—
290#14579134C2314yes—
291#14579133C2318yes—
292#14579133C2318yes—
293#14579133C2318yes—
294#14579133C2318yes—
295#14579133C2318yes—
296#14579133C2314yes—
297#14579133C2314yes—
298#14579133C2318yes—
299#14579133C2318yes—
300#14579133C2318yes—
301#14579133C2318yes—
302#14579133C2318yes—
303#14579133C2314yes—
304#14579133C2318yes—
305#14579133C2318yes—
306#14579133C2318yes—
307#14579133C2318yes—
308#14579133C2314yes—
309#14579133C2318yes—
310#14579132C2318yes—
311#14579132C2314yes—
312#14579132C2318yes—
313#14579132C2318yes—
314#14579132C2318yes—
315#14579132C2314yes—
316#14579132C2314yes—
317#14579131C2318yes—
318#14579131C2318yes—
319#14579131C2314yes—
320#14579131C2318yes—
321#14579131C2318yes—
322#14579131C2314yes—
323#14579130C2318yes—
324#14579130C2318yes—
325#14579130C2314yes—
326#14579130C2314yes—
327#14579129C2318yes—
328#14579129C2318yes—
329#14579129C2318yes—
330#14579129C2318yes—
331#14579129C2312yes—
332#14579129C2318yes—
333#14579129C2314yes—
334#14579129C2318yes—
335#14579129C2312yes—
336#14579129C2314yes—
337Q8×Dic79C2314yes—
338C4×Dic158C2318yes—
339C4×Dic158C2312yes—
340C4×Dic158C2312yes—
341#14579126C2314yes—
342#14579126C2314yes—
343C4×D316C2318yes—
344C4×D316C2318yes—
345C4×D316C2312yes—
346C4×D316C2312yes—
347D4×Dic79C2318yes—
348D4×Dic79C2318yes—
349D4×Dic79C2314yes—
350D4×Dic79C2318yes—
351D4×Dic79C2314yes—
352#14579123C2314yes—
353C4×C22⋊D79C2318yes—
354C4×C22⋊D79C2314yes—
355C4×C22⋊D79C2318yes—
356C4×C22⋊D79C2314yes—
357C4×C22⋊D79C2314yes—
358C4×C22⋊D79C2314yes—
359(C22⋊D79)⋊C4C2318yes—
360(C22⋊D79)⋊C4C2318yes—
361(C22⋊D79)⋊C4C2318yes—
362(C22⋊D79)⋊C4C2318yes—
363(C22⋊D79)⋊C4C2318yes—
364(C22⋊D79)⋊C4C2318yes—
365(C22⋊D79)⋊C4C2318yes—
366#14579120C2312yes—
367#14579120C2311yescharacteristic
368#14579118C2312yes—
369#14579118C2314yes—
370#14579118C2318yes—
371#14579118C2314yes—
372#14579117C2314yes—
373#14579117C2318yes—
374#14579117C2318yes—
375#14579117C2314yes—
376C2×Dic79⋊C4C2318yes—
377C4⋊C4×D79C2314yes—
378C2×C22⋊Dic79C2318yes—
379C2×(C2×D79)⋊C4C2318yes—
380C2×(C2×D79)⋊C4C2314yes—
381C22⋊C4×D79C2318yes—
382C22⋊C4×D79C2318yes—
383C2×C4×Dic79C2312yes—
384C42×D79C2314yes—
385C42×D79C2312yes—
386C2×#41×C79C2311yescharacteristic
387C2×#41×C79C2311yescharacteristic
388C2×#41×C79C2314yes—
389C22×D4×C79C2312yes—
390C22×D4×C79C2312yes—
391C22×D4×C79C2318yes—
392C4⋊Q8×C79C2311yescharacteristic
393C4⋊Q8×C79C2312yes—
394#127×C79C2314yes—
395#127×C79C2314yes—
396#127×C79C2312yes—
397#127×C79C2311yescharacteristic
398#124×C79C2314yes—
399#124×C79C2318yes—
400#124×C79C2314yes—
401#124×C79C2311yescharacteristic
402#124×C79C2311yescharacteristic
403#124×C79C2318yes—
404#124×C79C2314yes—
405#121×C79C2318yes—
406#121×C79C2314yes—
407#121×C79C2314yes—
408#121×C79C2318yes—
409#121×C79C2314yes—
410#121×C79C2314yes—
411#121×C79C2314yes—
412#120×C79C2314yes—
413#120×C79C2314yes—
414#120×C79C2314yes—
415#120×C79C2318yes—
416#120×C79C2318yes—
417#120×C79C2314yes—
418C4×D4×C79C2314yes—
419C4×D4×C79C2314yes—
420C4×D4×C79C2314yes—
421#117×C79C2318yes—
422#117×C79C2312yes—
423#117×C79C2312yes—
424C2×C42×C79C2311yescharacteristic
425C23×D79C2414yes—
426C23×D79C2418yes—
427C23×D79C2412yes—
428C23×D79C2412yes—
429#11929625—44no—
430#11929625—84no—
431#11929624—28no—
432#11929624—24no—
433#11929624—44no—
434#11929624—44no—
435#11929623—216no—
436#11929623—416no—
437#11929623—48no—
438#11929623—48no—
439#11929623—48no—
440#11929623—44no—
441#11929623—84no—
442C2×Dic158—28no—
443C2×Dic158—42no—
444C2×Dic158C2414yes—
445C2×Dic158C2412yes—
446C2×Dic158C2412yes—
447C2×Dic158C2412yes—
448C2×Dic158C2412yes—
449C2×Dic158C2411yescharacteristic
450Q8×D79—44no—
451C2×D316—42no—
452C2×D316—44no—
453C2×D316C2411yescharacteristic
454C2×D316C2412yes—
455C2×D316C2412yes—
456C2×D316C2412yes—
457C2×D316C2418yes—
458C2×D316C2412yes—
459C2×D316C2414yes—
460C2×D316C2418yes—
461C2×C22⋊D79—48no—
462C2×C22⋊D79—416no—
463C2×C22⋊D79—88no—
464C2×C22⋊D79—88no—
465C2×C22⋊D79C2412yes—
466C2×C22⋊D79C2418yes—
467C2×C22⋊D79C2414yes—
468C2×C22⋊D79C2414yes—
469C2×C22⋊D79C2418yes—
470C2×C22⋊D79C2418yes—
471C2×C22⋊D79C2418yes—
472C2×C22⋊D79C2414yes—
473C2×C22⋊D79C2418yes—
474C2×C22⋊D79C2418yes—
475C2×C22⋊D79C2418yes—
476C2×C22⋊D79C2418yes—
477C2×C22⋊D79C2418yes—
478C2×C22⋊D79C2414yes—
479C2×C22⋊D79C2414yes—
480C2×C22⋊D79C2414yes—
481D4×D79—48no—
482D4×D79—44no—
483D4×D79—48no—
484D4×D79—48no—
485D4×D79—88no—
486D4×D79—88no—
487D4×D79—88no—
488C22×Dic79—48no—
489C22×Dic79C2414yes—
490C22×Dic79C2418yes—
491C22×Dic79C2412yes—
492C22×Dic79C2418yes—
493C22×Dic79C2418yes—
494C22×Dic79C2414yes—
495C22×Dic79C2412yes—
496C2×C4×D79—44no—
497C2×C4×D79C2412yes—
498C2×C4×D79C2414yes—
499C2×C4×D79C2414yes—
500C2×C4×D79C2414yes—
501C2×C4×D79C2414yes—
502C2×C4×D79C2414yes—
503C2×C4×D79C2418yes—
504C2×C4×D79C2418yes—
505C4⋊Dic79C2412yes—
506C4⋊Dic79C2414yes—
507C4⋊Dic79C2418yes—
508C4⋊Dic79C2412yes—
509C4⋊Dic79C2418yes—
510C4⋊Dic79C2412yes—
511Dic79⋊C4C2418yes—
512Dic79⋊C4C2414yes—
513Dic79⋊C4C2414yes—
514Dic79⋊C4C2418yes—
515Dic79⋊C4C2414yes—
516Dic79⋊C4C2418yes—
517Dic79⋊C4C2418yes—
518Dic79⋊C4C2418yes—
519Dic79⋊C4C2414yes—
520Dic79⋊C4C2414yes—
521Dic79⋊C4C2414yes—
522Dic79⋊C4C2414yes—
523C22⋊Dic79C2418yes—
524C22⋊Dic79C2418yes—
525C22⋊Dic79C2414yes—
526C22⋊Dic79C2418yes—
527C22⋊Dic79C2412yes—
528C22⋊Dic79C2412yes—
529C22⋊Dic79C2418yes—
530C22⋊Dic79C2412yes—
531C22⋊Dic79C2414yes—
532C22⋊Dic79C2414yes—
533C22⋊Dic79C2418yes—
534(C2×D79)⋊C4C2418yes—
535(C2×D79)⋊C4C2418yes—
536(C2×D79)⋊C4C2418yes—
537(C2×D79)⋊C4C2418yes—
538(C2×D79)⋊C4C2414yes—
539(C2×D79)⋊C4C2418yes—
540(C2×D79)⋊C4C2414yes—
541(C2×D79)⋊C4C2414yes—
542(C2×D79)⋊C4C2418yes—
543(C2×D79)⋊C4C2414yes—
544(C2×D79)⋊C4C2414yes—
545(C2×D79)⋊C4C2414yes—
546(C2×D79)⋊C4C2418yes—
547(C2×D79)⋊C4C2414yes—
548C4×Dic79C2412yes—
549C4×Dic79C2414yes—
550C4×Dic79C2418yes—
551C4×Dic79C2412yes—
552C4×Dic79C2412yes—
553C4×Dic79C2414yes—
554C4×Dic79C2418yes—
555C24×C79C2414yes—
556C24×C79C2414yes—
557#41×C79—42no—
558#41×C79—42no—
559#41×C79—84no—
560C2×Q8×C79C2411yescharacteristic
561C2×Q8×C79C2411yescharacteristic
562C2×Q8×C79C2414yes—
563C2×D4×C79—44no—
564C2×D4×C79—44no—
565C2×D4×C79—88no—
566C2×D4×C79C2414yes—
567C2×D4×C79C2411yescharacteristic
568C2×D4×C79C2414yes—
569C2×D4×C79C2412yes—
570C2×D4×C79C2414yes—
571C2×D4×C79C2414yes—
572C2×D4×C79C2414yes—
573C2×D4×C79C2414yes—
574C2×D4×C79C2411yescharacteristic
575C2×D4×C79C2418yes—
576C2×D4×C79C2418yes—
577C2×D4×C79C2418yes—
578C2×D4×C79C2412yes—
579C22×C4×C79C2411yescharacteristic
580C22×C4×C79C2412yes—
581C22×C4×C79C2412yes—
582C22×C4×C79C2412yes—
583C22×C4×C79C2418yes—
584C4⋊C4×C79C2414yes—
585C4⋊C4×C79C2414yes—
586C4⋊C4×C79C2414yes—
587C22⋊C4×C79C2418yes—
588C22⋊C4×C79C2414yes—
589C22⋊C4×C79C2418yes—
590C22⋊C4×C79C2414yes—
591C22⋊C4×C79C2414yes—
592C22⋊C4×C79C2418yes—
593C22⋊C4×C79C2414yes—
594C22⋊C4×C79C2418yes—
595C42×C79C2412yes—
596C42×C79C2411yescharacteristic
597C42×C79C2411yescharacteristic
598C42×C79C2414yes—
599C42×C79C2414yes—
600C23×C79—44no—
601C23×C79—48no—
602C23×C79—44no—
603C23×C79—48no—
604C23×C79C2512yes—
605C23×C79C2511yescharacteristic
606C23×C79C2518yes—
607C23×C79C2512yes—
608C22×D79—42no—
609C22×D79—44no—
610C22×D79—48no—
611C22×D79—42no—
612C22×D79—44no—
613C22×D79—44no—
614C22×D79—48no—
615C22×D79—48no—
616C22×D79—48no—
617C22×D79C2514yes—
618C22×D79C2514yes—
619C22×D79C2512yes—
620Q8×C79—41no—
621Q8×C79—41no—
622Q8×C79—44no—
623D4×C79—28no—
624D4×C79—42no—
625D4×C79—41no—
626D4×C79—44no—
627D4×C79—48no—
628D4×C79—48no—
629D4×C79—48no—
630D4×C79—44no—
631D4×C79—42no—
632D4×C79—41no—
633D4×C79—44no—
634D4×C79—44no—
635D4×C79—44no—
636C2×C4×C79—24no—
637C2×C4×C79—22no—
638C2×C4×C79—24no—
639C2×C4×C79—48no—
640C2×C4×C79—42no—
641C2×C4×C79C2512yes—
642C2×C4×C79C2518yes—
643C2×C4×C79C2511yescharacteristic
644C2×C4×C79C2512yes—
645C2×C4×C79C2512yes—
646C2×C4×C79C2512yes—
647C2×C4×C79C2511yescharacteristic
648C22⋊D79—28no—
649C22⋊D79—24no—
650C22⋊D79—216no—
651C22⋊D79—48no—
652C22⋊D79—44no—
653C22⋊D79—44no—
654C22⋊D79—48no—
655C22⋊D79—48no—
656C22⋊D79—48no—
657C22⋊D79—48no—
658C22⋊D79—44no—
659C22⋊D79—48no—
660C22⋊D79—44no—
661C22⋊D79—48no—
662C22⋊D79—48no—
663C22⋊D79—44no—
664C2×Dic79—28no—
665C2×Dic79—216no—
666C2×Dic79—42no—
667C2×Dic79—48no—
668C2×Dic79—44no—
669C2×Dic79—48no—
670C2×Dic79—42no—
671C2×Dic79C2514yes—
672C2×Dic79C2514yes—
673C2×Dic79C2514yes—
674C2×Dic79C2514yes—
675C2×Dic79C2514yes—
676C2×Dic79C2512yes—
677D316—24no—
678D316—22no—
679D316—42no—
680D316—44no—
681D316—42no—
682D316—48no—
683D316—48no—
684D316—42no—
685C4×D79—28no—
686C4×D79—28no—
687C4×D79—24no—
688C4×D79—44no—
689C4×D79—48no—
690C4×D79—48no—
691C4×D79—44no—
692C4×D79—44no—
693Dic158—24no—
694Dic158—28no—
695Dic158—42no—
696Dic158—42no—
697Dic158—42no—
698Dic158H(5,𝔽2)14yes—
699C22×C79—22no—
700C22×C79—21no—
701C22×C79—28no—
702C22×C79—22no—
703C22×C79—24no—
704C22×C79—28no—
705C22×C79—22no—
706C22×C79—28no—
707C22×C79—24no—
708C22×C79—88no—
709C22×C79—164no—
710C22×C79C2611yescharacteristic
711C2×D79—24no—
712C2×D79—24no—
713C2×D79—22no—
714C2×D79—24no—
715C2×D79—24no—
716C2×D79—28no—
717C2×D79—24no—
718C2×D79—84no—
719C2×D79—168no—
720C2×D79—164no—
721C2×D79—162no—
722C4×C79—22no—
723C4×C79—22no—
724C4×C79—21no—
725C4×C79—22no—
726C4×C79—28no—
727C4×C79—22no—
728C4×C79C2×H(5,𝔽2)12yes—
729Dic79—24no—
730Dic79—24no—
731Dic79—24no—
732Dic79—24no—
733Dic79—24no—
734Dic79C2×H(5,𝔽2)14yes—
735#63066—791nomaximal, Sylow
736C2×C79—42no—
737C2×C79—41no—
738C2×C79—42no—
739C2×C79—48no—
740C2×C79C22×H(5,𝔽2)11yescharacteristic
741C2×C79H(7,𝔽2)12yes—
742D79—44no—
743D79—42no—
744D79—44no—
745#3558—794no—
746#3558—792no—
747#3551—794no—
748#3551—792no—
749#3549—792no—
750#3549D7911yescharacteristic, complemented
751#3543—794no—
752#3543—798no—
753#3542—794no—
754#3542—798no—
755#3537—794no—
756#3537—792no—
757#3529—792no—
758#3529—791no—
759#3524—794no—
760#3517—792no—
761#3500—791no—
762#3498—792no—
763#3488—794no—
764#3487—792no—
765C79#6306611yescharacteristic, complemented, Sylow
766C2×2−1+4—791no—
767C2×H(5,𝔽2)—791no—
768C2×H(5,𝔽2)—792no—
769C22×#41—792no—
770#563—792no—
771#563—791no—
772#563—794no—
773#562—798no—
774#562—794no—
775#562—792no—
776#562—794no—
777H(3,𝔽4)—791no—
778H(3,𝔽4)—794no—
779H(3,𝔽4)C2×D7912yescomplemented
780H(3,𝔽4)C2×D7912yescomplemented
781#560—792no—
782#560—794no—
783#560—794no—
784#560—798no—
785#560—798no—
786#560—794no—
787#560—798no—
788#560—794no—
789#559—798no—
790#559—794no—
791#557—792no—
792#555—798no—
793#555—794no—
794#555C2×D7914yescomplemented
795#555C2×D7912yescomplemented
796#553—798no—
797#553—794no—
798#553—798no—
799#553—794no—
800#552—798no—
801#552—794no—
802#551—794no—
803#551—798no—
804#550—794no—
805#550—798no—
806#550—792no—
807#550—792no—
808#550—794no—
809#550—794no—
810#550—794no—
811#548—798no—
812#548—794no—
813#548—794no—
814#548—794no—
815#547—794no—
816#547—792no—
817#546—798no—
818#546—794no—
819#546—798no—
820#546—798no—
821#546—798no—
822#546—798no—
823#546—798no—
824#546—794no—
825#546—794no—
826D42—794no—
827D42—798no—
828D42—798no—
829D42—794no—
830D42—794no—
831D42—794no—
832D42—798no—
833D42—798no—
834D42—798no—
835D42—794no—
836D42C2×D7914yescomplemented
837D42C2×D7912yescomplemented
838#542—794no—
839#542—798no—
840#540—798no—
841#540—798no—
842#540—798no—
843#540—798no—
844#540—794no—
845#540—794no—
846#540—798no—
847#538—798no—
848#538—798no—
849#538—794no—
850#538—798no—
851#538—798no—
852#537—798no—
853#537—794no—
854#536—791no—
855#536—792no—
856#535—791no—
857#535—792no—
858#535—794no—
859#535—794no—
860#535—792no—
861#535—794no—
862#535—798no—
863#535—794no—
864#535—794no—
865#535—798no—
866#535—798no—
867#535—792no—
868#535C2×D7912yescomplemented
869#535C2×D7912yescomplemented
870#535C2×D7918yescomplemented
871#534—798no—
872#534—798no—
873#534—794no—
874#534—798no—
875#534—798no—
876#532—792no—
877#532—794no—
878#532—792no—
879#532—794no—
880#532C2×D7911yescharacteristic, complemented
881#532C2×D7912yescomplemented
882C2×#127—792no—
883C2×#127—794no—
884#529—794no—
885#529—798no—
886#529—794no—
887#529—794no—
888#529—798no—
889#529—792no—
890C2×#124—792no—
891C2×#124—791no—
892#525—792no—
893#525—794no—
894#525—794no—
895#525—798no—
896#525—794no—
897#525—792no—
898C2×#121—798no—
899C2×#121—794no—
900#520—794no—
901#519—792no—
902C4×#41—792no—
903C4×#41—791no—
9042−1+4—3164no—
905H(5,𝔽2)—3168no—
906H(5,𝔽2)—3164no—
907C2×#41—3168no—
908C2×#41—792no—
909C2×#41—794no—
910C2×#41—792no—
911C2×#41—794no—
912C2×#41—794no—
913C2×#41—794no—
914C2×#41—798no—
915C2×#41—794no—
916C2×#41—794no—
917C2×#41—792no—
918C2×#41—792no—
919C2×#41—792no—
920C2×#41—791no—
921C2×#41C22×D7911yescharacteristic
922C2×#41C22×D7911yescharacteristic
923C2×#41C22×D7914yes—
924C22×Q8—792no—
925C22×Q8—791no—
926C22×Q8—792no—
927C22×D4—798no—
928C22×D4—794no—
929C22×D4—794no—
930C22×D4—792no—
931C22×D4—794no—
932C22×D4—794no—
933C22×D4—798no—
934C22×D4—798no—
935C22×D4—798no—
936C22×D4—798no—
937C22×D4—798no—
938C22×D4—791no—
939C22×D4—792no—
940C22×D4C22×D7912yes—
941C22×D4C22×D7912yes—
942C22×D4C22×D7918yes—
943C23×C4—794no—
944C23×C4—792no—
945C4⋊Q8—792no—
946C4⋊Q8—792no—
947C4⋊Q8—794no—
948C4⋊Q8C22×D7911yescharacteristic
949C4⋊Q8C22×D7912yes—
950#127—792no—
951#127—794no—
952#127—794no—
953#127—794no—
954#127—798no—
955#127—794no—
956#127—798no—
957#127—794no—
958#127—792no—
959#127—798no—
960#127—794no—
961#127C22×D7914yes—
962#127C22×D7912yes—
963#127C22×D7911yescharacteristic
964#127C22×D7914yes—
965#126—794no—
966#126—798no—
967#126—794no—
968#126—798no—
969#126—798no—
970#126—798no—
971#126—794no—
972#126—798no—
973#125—794no—
974#125—798no—
975#125—794no—
976#125—792no—
977#125—798no—
978#124—792no—
979#124—792no—
980#124—798no—
981#124—792no—
982#124—794no—
983#124—792no—
984#124—798no—
985#124—798no—
986#124—794no—
987#124—798no—
988#124—798no—
989#124—792no—
990#124—792no—
991#124—794no—
992#124—792no—
993#124—794no—
994#124C22×D7911yescharacteristic
995#124C22×D7914yes—
996#124C22×D7918yes—
997#124C22×D7911yescharacteristic
998#124C22×D7914yes—
999#124C22×D7914yes—
1000#124C22×D7918yes—
1001#123—792no—
1002#123—792no—
1003#123—798no—
1004#123—798no—
1005#123—794no—
1006#123—798no—
1007#123—794no—
1008#123—794no—
1009#123—798no—
1010#123—798no—
1011#123—794no—
1012#123—798no—
1013#123—798no—
1014#123—798no—
1015#123—794no—
1016#123—794no—
1017#123—798no—
1018#123—798no—
1019#123—798no—
1020#123—798no—
1021#123—794no—
1022#123—798no—
1023#123—798no—
1024#123—798no—
1025C22⋊Q8—794no—
1026C22⋊Q8—794no—
1027C22⋊Q8—798no—
1028C22⋊Q8—794no—
1029C22⋊Q8—792no—
1030C22⋊Q8—794no—
1031C22⋊Q8—794no—
1032C22⋊Q8—798no—
1033C22⋊Q8—794no—
1034C22⋊Q8—798no—
1035C22⋊Q8—798no—
1036C22⋊Q8—798no—
1037C22⋊Q8—794no—
1038#121—794no—
1039#121—798no—
1040#121—798no—
1041#121—798no—
1042#121—798no—
1043#121—798no—
1044#121—798no—
1045#121—794no—
1046#121—798no—
1047#121—794no—
1048#121—798no—
1049#121—798no—
1050#121—798no—
1051#121—794no—
1052#121—798no—
1053#121—794no—
1054#121—794no—
1055#121—794no—
1056#121—798no—
1057#121—798no—
1058#121—798no—
1059#121—798no—
1060#121—798no—
1061#121—798no—
1062#121—798no—
1063#121—798no—
1064#121—794no—
1065#121—792no—
1066#121—798no—
1067#121—798no—
1068#121—794no—
1069#121—794no—
1070#121—798no—
1071#121—794no—
1072#121—798no—
1073#121—798no—
1074#121—798no—
1075#121—798no—
1076#121—798no—
1077#121—798no—
1078#121—798no—
1079#121—798no—
1080#121—798no—
1081#121C22×D7914yes—
1082#121C22×D7914yes—
1083#121C22×D7914yes—
1084#121C22×D7914yes—
1085#121C22×D7914yes—
1086#121C22×D7918yes—
1087#121C22×D7918yes—
1088#120—794no—
1089#120—798no—
1090#120—794no—
1091#120—798no—
1092#120—794no—
1093#120—792no—
1094#120—792no—
1095#120—798no—
1096#120—794no—
1097#120—798no—
1098#120—798no—
1099#120—798no—
1100#120—798no—
1101#120—798no—
1102#120—794no—
1103#120—794no—
1104#120—798no—
1105#120—798no—
1106#120—798no—
1107#120—798no—
1108#120C22×D7914yes—
1109#120C22×D7914yes—
1110#120C22×D7918yes—
1111#120C22×D7918yes—
1112#120C22×D7914yes—
1113#120C22×D7914yes—
1114C4×Q8—794no—
1115C4×Q8—794no—
1116C4×Q8—794no—
1117C4×Q8—792no—
1118C4×Q8—798no—
1119C4×Q8—792no—
1120C4×D4—794no—
1121C4×D4—798no—
1122C4×D4—794no—
1123C4×D4—798no—
1124C4×D4—798no—
1125C4×D4—794no—
1126C4×D4—798no—
1127C4×D4—794no—
1128C4×D4—794no—
1129C4×D4—794no—
1130C4×D4—798no—
1131C4×D4—794no—
1132C4×D4—798no—
1133C4×D4—798no—
1134C4×D4—798no—
1135C4×D4—798no—
1136C4×D4—798no—
1137C4×D4—798no—
1138C4×D4—798no—
1139C4×D4—792no—
1140C4×D4—792no—
1141C4×D4—798no—
1142C4×D4—798no—
1143C4×D4C22×D7914yes—
1144C4×D4C22×D7914yes—
1145C4×D4C22×D7914yes—
1146#117—791no—
1147#117—792no—
1148#117—794no—
1149#117—794no—
1150#117—798no—
1151#117—798no—
1152#117—794no—
1153#117—792no—
1154#117—794no—
1155#117—798no—
1156#117C22×D7912yes—
1157#117C22×D7912yes—
1158#117C22×D7918yes—
1159C2×C4⋊C4—798no—
1160C2×C4⋊C4—794no—
1161C2×C22⋊C4—798no—
1162C2×C22⋊C4—798no—
1163C2×C22⋊C4—794no—
1164C2×C22⋊C4—798no—
1165C2×C22⋊C4—798no—
1166C2×C42—792no—
1167C2×C42—792no—
1168C2×C42—794no—
1169C2×C42C22×D7911yescharacteristic
1170C24—792no—
1171C24—798no—
1172C24—794no—
1173C24—792no—
1174C24C23×D7914yes—
1175C24C23×D7914yes—
1176#41—42no—
1177#41—42no—
1178#41—84no—
1179#41—3164no—
1180#41—3164no—
1181#41—3168no—
1182#41—31616no—
1183#41—3168no—
1184#41—3168no—
1185#41—3164no—
1186#41—3164no—
1187#41—6324no—
1188#41—6324no—
1189#41—1588no—
1190#41—1584no—
1191#41—15816no—
1192C2×Q8—3162no—
1193C2×Q8—3164no—
1194C2×Q8—792no—
1195C2×Q8—792no—
1196C2×Q8—792no—
1197C2×Q8—791no—
1198C2×Q8—794no—
1199C2×Q8—792no—
1200C2×Q8—1588no—
1201C2×Q8C23×D7914yes—
1202C2×Q8C23×D7911yescharacteristic
1203C2×Q8C23×D7911yescharacteristic
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—88no—
1207C2×D4—3164no—
1208C2×D4—3162no—
1209C2×D4—3168no—
1210C2×D4—3168no—
1211C2×D4—3168no—
1212C2×D4—3164no—
1213C2×D4—3168no—
1214C2×D4—31616no—
1215C2×D4—798no—
1216C2×D4—798no—
1217C2×D4—798no—
1218C2×D4—798no—
1219C2×D4—794no—
1220C2×D4—798no—
1221C2×D4—794no—
1222C2×D4—794no—
1223C2×D4—798no—
1224C2×D4—794no—
1225C2×D4—798no—
1226C2×D4—798no—
1227C2×D4—794no—
1228C2×D4—794no—
1229C2×D4—798no—
1230C2×D4—792no—
1231C2×D4—792no—
1232C2×D4—798no—
1233C2×D4—798no—
1234C2×D4—792no—
1235C2×D4—794no—
1236C2×D4—792no—
1237C2×D4—792no—
1238C2×D4—791no—
1239C2×D4—6328no—
1240C2×D4—6328no—
1241C2×D4—6328no—
1242C2×D4—6328no—
1243C2×D4—6328no—
1244C2×D4C23×D7914yes—
1245C2×D4C23×D7914yes—
1246C2×D4C23×D7918yes—
1247C2×D4C23×D7918yes—
1248C2×D4C23×D7918yes—
1249C2×D4C23×D7914yes—
1250C2×D4C23×D7914yes—
1251C2×D4C23×D7912yes—
1252C2×D4C23×D7911yescharacteristic
1253C2×D4C23×D7914yes—
1254C2×D4C23×D7911yescharacteristic
1255C2×D4C23×D7912yes—
1256C2×D4C23×D7914yes—
1257C22×C4—3164no—
1258C22×C4—3168no—
1259C22×C4—794no—
1260C22×C4—792no—
1261C22×C4—798no—
1262C22×C4—798no—
1263C22×C4—792no—
1264C22×C4—794no—
1265C22×C4—798no—
1266C22×C4—794no—
1267C22×C4—794no—
1268C22×C4—798no—
1269C22×C4—798no—
1270C22×C4—794no—
1271C22×C4—792no—
1272C22×C4—794no—
1273C22×C4—794no—
1274C22×C4C23×D7912yes—
1275C22×C4C23×D7911yescharacteristic
1276C22×C4C23×D7912yes—
1277C22×C4C23×D7912yes—
1278C22×C4C23×D7918yes—
1279C4⋊C4—794no—
1280C4⋊C4—794no—
1281C4⋊C4—798no—
1282C4⋊C4—798no—
1283C4⋊C4—794no—
1284C4⋊C4—798no—
1285C4⋊C4—798no—
1286C4⋊C4—798no—
1287C4⋊C4—794no—
1288C4⋊C4—794no—
1289C4⋊C4—794no—
1290C4⋊C4—794no—
1291C4⋊C4—792no—
1292C4⋊C4—794no—
1293C4⋊C4—798no—
1294C4⋊C4—792no—
1295C4⋊C4—798no—
1296C4⋊C4—792no—
1297C4⋊C4C23×D7914yes—
1298C4⋊C4C23×D7914yes—
1299C4⋊C4C23×D7914yes—
1300C22⋊C4—794no—
1301C22⋊C4—798no—
1302C22⋊C4—798no—
1303C22⋊C4—798no—
1304C22⋊C4—792no—
1305C22⋊C4—792no—
1306C22⋊C4—798no—
1307C22⋊C4—792no—
1308C22⋊C4—794no—
1309C22⋊C4—798no—
1310C22⋊C4—794no—
1311C22⋊C4—798no—
1312C22⋊C4—798no—
1313C22⋊C4—798no—
1314C22⋊C4—798no—
1315C22⋊C4—794no—
1316C22⋊C4—798no—
1317C22⋊C4—794no—
1318C22⋊C4—798no—
1319C22⋊C4—794no—
1320C22⋊C4—794no—
1321C22⋊C4—794no—
1322C22⋊C4—794no—
1323C22⋊C4—794no—
1324C22⋊C4—798no—
1325C22⋊C4C23×D7914yes—
1326C22⋊C4C23×D7918yes—
1327C22⋊C4C23×D7914yes—
1328C22⋊C4C23×D7918yes—
1329C22⋊C4C23×D7918yes—
1330C22⋊C4C23×D7914yes—
1331C22⋊C4C23×D7914yes—
1332C22⋊C4C23×D7918yes—
1333C42—792no—
1334C42—792no—
1335C42—794no—
1336C42—798no—
1337C42—794no—
1338C42—792no—
1339C42—798no—
1340C42C23×D7911yescharacteristic
1341C42C23×D7914yes—
1342C42C23×D7912yes—
1343C42C23×D7911yescharacteristic
1344C42C23×D7914yes—
1345C23—44no—
1346C23—48no—
1347C23—44no—
1348C23—48no—
1349C23—3162no—
1350C23—3164no—
1351C23—3162no—
1352C23—3164no—
1353C23—3168no—
1354C23—3168no—
1355C23—3164no—
1356C23—3168no—
1357C23—3168no—
1358C23—794no—
1359C23—794no—
1360C23—792no—
1361C23C24×D7912yes—
1362C23C24×D7911yescharacteristic
1363C23C24×D7912yes—
1364C23C24×D7918yes—
1365Q8—41no—
1366Q8—41no—
1367Q8—44no—
1368Q8—3162no—
1369Q8—3162no—
1370Q8—3162no—
1371Q8—794no—
1372Q8—1588no—
1373Q8—1584no—
1374D4—28no—
1375D4—44no—
1376D4—44no—
1377D4—44no—
1378D4—44no—
1379D4—48no—
1380D4—48no—
1381D4—42no—
1382D4—41no—
1383D4—48no—
1384D4—42no—
1385D4—41no—
1386D4—44no—
1387D4—3164no—
1388D4—3162no—
1389D4—3162no—
1390D4—3168no—
1391D4—3168no—
1392D4—3162no—
1393D4—3164no—
1394D4—3168no—
1395D4—3168no—
1396D4—3168no—
1397D4—3168no—
1398D4—3168no—
1399D4—3164no—
1400D4—3164no—
1401D4—3168no—
1402D4—3168no—
1403D4—3164no—
1404D4—3168no—
1405D4—3164no—
1406D4—1588no—
1407D4—15816no—
1408D4—1584no—
1409D4—1584no—
1410D4—1582no—
1411C2×C4—24no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—48no—
1415C2×C4—42no—
1416C2×C4—3164no—
1417C2×C4—3168no—
1418C2×C4—3168no—
1419C2×C4—3164no—
1420C2×C4—3164no—
1421C2×C4—3162no—
1422C2×C4—3168no—
1423C2×C4—3164no—
1424C2×C4—3168no—
1425C2×C4—3162no—
1426C2×C4—792no—
1427C2×C4—794no—
1428C2×C4—794no—
1429C2×C4—794no—
1430C2×C4—794no—
1431C2×C4—794no—
1432C2×C4—1588no—
1433C2×C4—1584no—
1434C2×C4—1588no—
1435C2×C4—15816no—
1436C2×C4—1588no—
1437C2×C4C24×D7912yes—
1438C2×C4C24×D7911yescharacteristic
1439C2×C4C24×D7918yes—
1440C2×C4C24×D7912yes—
1441C2×C4C24×D7912yes—
1442C2×C4C24×D7912yes—
1443C2×C4C24×D7911yescharacteristic
1444C22—21no—
1445C22—22no—
1446C22—22no—
1447C22—28no—
1448C22—28no—
1449C22—22no—
1450C22—24no—
1451C22—24no—
1452C22—28no—
1453C22—88no—
1454C22—164no—
1455C22—6324no—
1456C22—1582no—
1457C22—1584no—
1458C22—1584no—
1459C22—1584no—
1460C22—1584no—
1461C22—1588no—
1462C22—1584no—
1463C22—12648no—
1464C22—12644no—
1465C22—12642no—
1466C22C25×D7911yescharacteristic
1467C4—22no—
1468C4—22no—
1469C4—21no—
1470C4—22no—
1471C4—28no—
1472C4—22no—
1473C4—794no—
1474C4—1584no—
1475C4—1584no—
1476C4—1584no—
1477C4—1584no—
1478C4—1584no—
1479C4H(5,𝔽2)×D7912yes—
1480C2—42no—
1481C2—48no—
1482C2—42no—
1483C2—41no—
1484C2—3164no—
1485C2—3164no—
1486C2—3162no—
1487C2C2×H(5,𝔽2)×D7911yescharacteristic
1488C2#2377821012yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3549C2
hypercenter#3549D79
hypocenterC79#63066
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3549

Complements

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

NH ≅ G/Ntype
1. #23777923C2semidirect
2. #23777913C2semidirect
3. #23777824C2semidirect
4. #23777815C2semidirect
5. #23777804C2semidirect
6. #23777726C2semidirect
7. #23777725C2semidirect
8. #23777723C2semidirect
9. #23777703C2semidirect
10. #23777633C2semidirect
11. #23777630C2semidirect
12. #23777540C2semidirect
13. #23777536C2semidirect
14. #23777500C2semidirect
15. #23777398C2semidirect
16. #23777187C2semidirect
17. #23777175C2semidirect
18. #23777060C2semidirect
19. #23777056C2semidirect
20. C79×#3549C2semidirect
21. C2×#14579208C22semidirect
22. C2×#14579207C22semidirect
23. C2×#14579206C22semidirect
24. C22×#11929623C22semidirect
25. #19099313C22semidirect
26. #19099313C22semidirect
27. #19099312C22semidirect
28. #19099308C22semidirect
29. #19099307C22semidirect
30. #19099307C22semidirect
31. #19099307C22semidirect
32. #19099305C22semidirect
33. #19099305C22semidirect
34. #19099302C22semidirect
35. #19099302C22semidirect
36. #19099302C22semidirect
37. #19099301C22semidirect
38. #19099301C22semidirect
39. #19099301C22semidirect
40. #19099300C22semidirect
41. #19099300C22semidirect
42. #19099296C22semidirect
43. #19099295C22semidirect
44. #19099288C22semidirect
45. #19099275C22semidirect
46. #19099275C22semidirect
47. #19099262C22semidirect
48. #19099260C22semidirect
49. #19099257C22semidirect
50. #19099256C22semidirect
51. #19099252C22semidirect
52. #19099246C22semidirect
53. #19099244C22semidirect
54. #19099237C22semidirect
55. #19099233C22semidirect
56. #19099233C22semidirect
57. #19099233C22semidirect
58. #19099232C22semidirect
59. #19099231C22semidirect
60. #19099231C22semidirect
61. #19099231C22semidirect
62. #19099222C22semidirect
63. #19099221C22semidirect
64. #19099219C22semidirect
65. #19099219C22semidirect
66. #19099216C22semidirect
67. #19099212C22semidirect
68. #19099209C22semidirect
69. #19099208C22semidirect
70. #19099207C22semidirect
71. #19099206C22semidirect
72. #19099202C22semidirect
73. #19099202C22semidirect
74. #19099201C22semidirect
75. #19099200C22semidirect
76. #19099200C22semidirect
77. #19099198C22semidirect
78. #19099197C22semidirect
79. #19099197C22semidirect
80. D4×C22⋊D79C22semidirect
81. D4×C22⋊D79C22semidirect
82. D4×C22⋊D79C22semidirect
83. #19099195C22semidirect
84. #19099195C22semidirect
85. #19099195C22semidirect
86. #19099195C22semidirect
87. #19099187C22semidirect
88. #19099177C22semidirect
89. #19099168C22semidirect
90. #19099167C22semidirect
91. #19099166C22semidirect
92. #19099164C22semidirect
93. #19099163C22semidirect
94. #19099163C22semidirect
95. #19099163C22semidirect
96. #19099150C22semidirect
97. #19099148C22semidirect
98. #19099147C22semidirect
99. #19099147C22semidirect
100. #19099146C22semidirect
101. #19099142C22semidirect
102. #19099140C22semidirect
103. #19099138C22semidirect
104. #19099134C22semidirect
105. #19099132C22semidirect
106. #19099131C22semidirect
107. #19099131C22semidirect
108. #19099130C22semidirect
109. #19099128C22semidirect
110. #19099128C22semidirect
111. #19099128C22semidirect
112. #19099128C22semidirect
113. #19099127C22semidirect
114. #19099126C22semidirect
115. #19099126C22semidirect
116. #19099126C22semidirect
117. #19099123C22semidirect
118. #19099123C22semidirect
119. #19099122C22semidirect
120. #19099121C22semidirect
121. #19099121C22semidirect
122. #19099112C22semidirect
123. #19099112C22semidirect
124. #19099112C22semidirect
125. #19099109C22semidirect
126. C2×#14579157C22semidirect
127. #127×D79C22semidirect
128. #19099097C22semidirect
129. #19099094C22semidirect
130. #19099093C22semidirect
131. #19099092C22semidirect
132. #19099092C22semidirect
133. #19099091C22semidirect
134. C2×#14579149C22semidirect
135. #124×D79C22semidirect
136. #19099075C22semidirect
137. #19099072C22semidirect
138. #19099070C22semidirect
139. #19099069C22semidirect
140. #19099069C22semidirect
141. #19099069C22semidirect
142. C2×#14579133C22semidirect
143. #121×D79C22semidirect
144. #19099042C22semidirect
145. #19099040C22semidirect
146. C4×#11929624C22semidirect
147. #19099031C22semidirect
148. H(3,𝔽4)×C79C22semidirect
149. H(3,𝔽4)×C79C22semidirect
150. #555×C79C22semidirect
151. #555×C79C22semidirect
152. D42×C79C22semidirect
153. D42×C79C22semidirect
154. #535×C79C22semidirect
155. #535×C79C22semidirect
156. #535×C79C22semidirect
157. #532×C79C22semidirect
158. #532×C79C22semidirect
750. #3549D79semidirect
765. C79#63066semidirect
779. H(3,𝔽4)C2×D79semidirect
780. H(3,𝔽4)C2×D79semidirect
794. #555C2×D79semidirect
795. #555C2×D79semidirect
836. D42C2×D79semidirect
837. D42C2×D79semidirect
868. #535C2×D79semidirect
869. #535C2×D79semidirect
870. #535C2×D79semidirect
880. #532C2×D79semidirect
881. #532C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779232
#237779132
#237778242
#237778152
#237778042
#237777262
#237777252
#237777232
#237777032
#237776332
#237776302
#237775402
#237775362
#237775002
#237773982
#237771872
#237771752
#237770602
#237770562
C79×#35492
#6306679