Finite Group Databasebeta

← #35201909

Subgroups — #35201909

Order 20224.

6916 conjugacy classes of subgroups.

The subgroup lattice has 1428 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777972C212yesmaximal, complemented
2#23777940C218yesmaximal, complemented
3#23777938C214yesmaximal, complemented
4#23777831C214yesmaximal, complemented
5#23777824C212yesmaximal, complemented
6#23777814C211yesmaximal, characteristic, complemented
7#23777757C212yesmaximal, complemented
8#23777738C214yesmaximal, complemented
9#23777691C214yesmaximal, complemented
10#23777643C212yesmaximal, complemented
11#23777597C218yesmaximal, complemented
12#23777573C214yesmaximal, complemented
13#23777536C211yesmaximal, characteristic, complemented
14C2×#19099313C212yesmaximal, complemented
15#23777453C214yesmaximal, complemented
16#23777378C212yesmaximal, complemented
17#23777181C212yesmaximal, complemented
18#23777071C214yesmaximal, complemented
19#23777040C212yesmaximal, complemented
20C79×#3500C211yesmaximal, characteristic, complemented
21C2×#14579208C2212yescomplemented
22C22×#11929623C2212yescomplemented
23#19099316C2214yescomplemented
24#19099314C2218yescomplemented
25#19099313C2211yescharacteristic, complemented
26#19099313C2212yescomplemented
27#19099313C2212yescomplemented
28#19099313C2214yescomplemented
29#19099313C2214yescomplemented
30#19099313C2218yescomplemented
31#19099313C2218yescomplemented
32#19099313C2214yescomplemented
33#19099312C2212yescomplemented
34#19099308C2214yescomplemented
35#19099308C2218yescomplemented
36#19099307C2212yescomplemented
37#19099307C2214yescomplemented
38#19099305C2211yescharacteristic, complemented
39#19099302C2214yescomplemented
40#19099301C2214yescomplemented
41#19099300C2212yescomplemented
42#19099299C2212yescomplemented
43#19099293C2212yescomplemented
44#19099291C2212yescomplemented
45#19099283C2214yescomplemented
46#19099282C2214yescomplemented
47#19099275C2214yescomplemented
48#19099273C2212yescomplemented
49#19099272C2218yescomplemented
50#19099270C2212yescomplemented
51#19099267C2218yescomplemented
52#19099265C2218yescomplemented
53#19099263C2218yescomplemented
54#19099260C2214yescomplemented
55#19099259C2214yescomplemented
56#19099256C2218yescomplemented
57#19099253C2214yescomplemented
58#19099252C2214yescomplemented
59#19099250C2218yescomplemented
60#19099247C2214yescomplemented
61#19099246C2218yescomplemented
62#19099244C2214yescomplemented
63#19099244C2218yescomplemented
64#19099243C2214yescomplemented
65#19099241C2214yescomplemented
66#19099239C2218yescomplemented
67#19099239C2218yescomplemented
68D4×Dic158C2214yescomplemented
69Q8×C22⋊D79C2214yescomplemented
70Q8×C22⋊D79C2214yescomplemented
71#19099226C2214yescomplemented
72#19099221C2214yescomplemented
73#19099219C2214yescomplemented
74#19099217C2212yescomplemented
75#19099213C2218yescomplemented
76#19099212C2214yes—
77#19099212C2214yescomplemented
78#19099212C2218yescomplemented
79#19099212C2218yescomplemented
80#19099212C2214yescomplemented
81#19099212C2218yescomplemented
82#19099211C2218yescomplemented
83#19099207C2214yes—
84#19099207C2218yes—
85#19099207C2214yescomplemented
86#19099203C2218yescomplemented
87#19099200C2218yescomplemented
88#19099192C2218yescomplemented
89#19099190C2218yescomplemented
90#19099189C2214yescomplemented
91#19099183C2218yescomplemented
92#19099182C2214yescomplemented
93#19099180C2218yescomplemented
94#19099177C2218yescomplemented
95#19099177C2218yescomplemented
96#19099173C2214yescomplemented
97#19099171C2214yescomplemented
98#19099167C2218yescomplemented
99#19099158C2218yescomplemented
100#19099158C2218yescomplemented
101#19099156C2218yescomplemented
102#19099155C2218yescomplemented
103#19099155C2218yescomplemented
104#19099155C2218yescomplemented
105#19099151C2214yescomplemented
106#19099148C2218yescomplemented
107#19099148C2218yescomplemented
108#19099147C2218yescomplemented
109#19099145C2218yescomplemented
110#19099142C2214yescomplemented
111#19099140C2218yescomplemented
112#19099137C2212yescomplemented
113#19099137C2214yescomplemented
114#19099135C2218yescomplemented
115#19099134C2212yes—
116#19099134C2212yescomplemented
117#19099134C2212yescomplemented
118#19099134C2214yescomplemented
119#19099133C2214yescomplemented
120#19099122C2214yes—
121#19099122C2214yescomplemented
122#19099120C2212yescomplemented
123#19099109C2212yescomplemented
124#19099109C2214yescomplemented
125C2×#14579159C2212yescomplemented
126C2×#14579159C2214yescomplemented
127#19099097C2212yescomplemented
128#19099097C2214yescomplemented
129#19099094C2214yescomplemented
130#19099093C2214yescomplemented
131#19099090C2218yescomplemented
132C2×#14579154C2218yescomplemented
133C2×#14579153C2214yescomplemented
134#19099072C2214yescomplemented
135#19099070C2212yes—
136#19099070C2212yescomplemented
137#19099069C2218yescomplemented
138C2×#14579142C2214yes—
139C2×#14579142C2214yescomplemented
140C2×#14579138C2218yescomplemented
141C22⋊Q8×D79C2214yescomplemented
142#19099042C2214yescomplemented
143#19099038C2212yescomplemented
144#41×Dic79C2212yescomplemented
145C2×2−1+4×C79C2211yescharacteristic, complemented
146C2×H(5,𝔽2)×C79C2211yescharacteristic
147#548×C79C2214yescomplemented
148#546×C79C2214yescomplemented
149#546×C79C2218yescomplemented
150#536×C79C2211yescharacteristic
151#536×C79C2212yescomplemented
152#535×C79C2212yes—
153#535×C79C2211yescharacteristic, complemented
154#532×C79C2211yescharacteristic
155#532×C79C2212yescomplemented
156C2×#124×C79C2212yes—
157C2×#124×C79C2211yescharacteristic, complemented
158C4×#41×C79C2211yescharacteristic, complemented
159#14579208—48no—
160C2×#11929624C2312yes—
161C2×#11929624C2314yes—
162C2×#11929623—48no—
163C2×#11929623C2314yes—
164C2×#11929623C2318yes—
165C2×#11929623C2318yes—
166C2×#11929623C2314yes—
167C22×Dic158C2312yes—
168C22×Dic158C2314yes—
169C22×Dic158C2312yes—
170C2×Q8×D79C2314yes—
171C22×C22⋊D79C2314yes—
172C23×Dic79C2314yes—
173C22×C4×D79C2312yes—
174#14579161C2312yes—
175#14579161C2312yes—
176#14579160C2318yes—
177#14579160C2318yes—
178#14579159C2314yes—
179#14579159C2314yes—
180#14579159C2314yes—
181#14579159C2314yes—
182#14579159C2314yes—
183#14579159C2318yes—
184#14579159C2318yes—
185#14579159C2314yes—
186#14579159C2312yes—
187#14579159C2314yes—
188#14579157C2312yes—
189#14579156C2318yes—
190#14579156C2314yes—
191#14579155C2318yes—
192#14579155C2314yes—
193#14579154C2318yes—
194#14579154C2318yes—
195#14579154C2318yes—
196#14579154C2318yes—
197#14579154C2318yes—
198#14579154C2318yes—
199#14579154C2318yes—
200#14579154C2318yes—
201#14579154C2318yes—
202#14579154C2318yes—
203#14579154C2314yes—
204#14579154C2318yes—
205#14579153C2314yes—
206#14579153C2314yes—
207#14579153C2318yes—
208#14579153C2318yes—
209#14579153C2312yes—
210#14579153C2314yes—
211#14579152C2318yes—
212#14579152C2314yes—
213#14579151C2318yes—
214#14579151C2318yes—
215#14579151C2318yes—
216#14579151C2318yes—
217#14579151C2314yes—
218#14579150C2314yes—
219#14579150C2312yes—
220#14579149C2312yes—
221#14579148C2318yes—
222#14579148C2314yes—
223#14579148C2314yes—
224#14579148C2314yes—
225#14579148C2312yes—
226#14579147C2318yes—
227#14579147C2318yes—
228#14579147C2314yes—
229#14579147C2318yes—
230#14579146C2314yes—
231#14579145C2318yes—
232#14579145C2314yes—
233#14579145C2318yes—
234#14579144C2318yes—
235#14579144C2318yes—
236#14579144C2318yes—
237#14579144C2314yes—
238#14579144C2318yes—
239#14579143C2318yes—
240#14579143C2318yes—
241#14579143C2318yes—
242#14579143C2314yes—
243#14579143C2318yes—
244#14579142C2318yes—
245#14579142C2318yes—
246#14579142C2318yes—
247#14579142C2318yes—
248#14579142C2314yes—
249#14579142C2314yes—
250#14579142C2314yes—
251#14579142C2318yes—
252#14579142C2318yes—
253#14579142C2314yes—
254#14579142C2318yes—
255#14579142C2314yes—
256#14579142C2314yes—
257#14579142C2314yes—
258#14579142C2312yes—
259#14579142C2314yes—
260#14579142C2312yes—
261#14579141C2314yes—
262#14579140C2314yes—
263#14579140C2314yes—
264#14579140C2318yes—
265#14579140C2318yes—
266#14579140C2318yes—
267#14579140C2314yes—
268#14579140C2314yes—
269#14579140C2312yes—
270#14579140C2314yes—
271#14579139C2318yes—
272#14579139C2318yes—
273#14579139C2318yes—
274#14579139C2314yes—
275#14579138C2318yes—
276#14579138C2318yes—
277#14579138C2318yes—
278#14579138C2318yes—
279#14579138C2318yes—
280#14579138C2318yes—
281#14579138C2318yes—
282#14579138C2314yes—
283#14579138C2318yes—
284#14579138C2318yes—
285#14579138C2318yes—
286#14579138C2318yes—
287#14579138C2318yes—
288#14579138C2314yes—
289#14579137C2318yes—
290#14579137C2314yes—
291#14579137C2318yes—
292#14579137C2314yes—
293#14579137C2314yes—
294#14579135C2314yes—
295#14579135C2312yes—
296#14579134C2314yes—
297#14579134C2318yes—
298#14579134C2318yes—
299#14579133C2318yes—
300#14579133C2318yes—
301#14579133C2318yes—
302#14579133C2318yes—
303#14579133C2318yes—
304#14579133C2314yes—
305#14579133C2314yes—
306#14579133C2318yes—
307#14579133C2314yes—
308#14579133C2318yes—
309#14579133C2314yes—
310#14579132C2318yes—
311#14579132C2314yes—
312#14579132C2318yes—
313#14579132C2314yes—
314#14579131C2314yes—
315#14579130C2318yes—
316#14579130C2318yes—
317#14579129C2314yes—
318#14579129C2314yes—
319#14579129C2312yes—
320#14579129C2312yes—
321Q8×Dic79C2314yes—
322C4×Dic158C2314yes—
323C4×Dic158C2314yes—
324C4×Dic158C2314yes—
325C4×Dic158C2312yes—
326#14579126C2314yes—
327#14579126C2318yes—
328C4×D316C2314yes—
329C4×D316C2312yes—
330D4×Dic79C2318yes—
331D4×Dic79C2318yes—
332D4×Dic79C2318yes—
333D4×Dic79C2318yes—
334D4×Dic79C2318yes—
335D4×Dic79C2314yes—
336D4×Dic79C2314yes—
337C4×C22⋊D79C2318yes—
338C4×C22⋊D79C2318yes—
339C4×C22⋊D79C2318yes—
340C4×C22⋊D79C2318yes—
341C4×C22⋊D79C2314yes—
342C4×C22⋊D79C2314yes—
343C4×C22⋊D79C2314yes—
344(C22⋊D79)⋊C4C2318yes—
345(C22⋊D79)⋊C4C2318yes—
346(C22⋊D79)⋊C4C2318yes—
347(C22⋊D79)⋊C4C2318yes—
348#14579120C2314yes—
349#14579120C2312yes—
350#14579120C2312yes—
351#14579120C2314yes—
352#14579120C2312yes—
353#14579119C2318yes—
354#14579118C2318yes—
355#14579118C2314yes—
356#14579117C2318yes—
357#14579117C2318yes—
358#14579117C2318yes—
359C2×C4⋊Dic79C2314yes—
360C2×C4⋊Dic79C2314yes—
361C2×Dic79⋊C4C2318yes—
362C2×Dic79⋊C4C2318yes—
363C2×Dic79⋊C4C2318yes—
364C2×Dic79⋊C4C2318yes—
365C2×Dic79⋊C4C2318yes—
366C4⋊C4×D79C2314yes—
367C4⋊C4×D79C2318yes—
368C2×C22⋊Dic79C2314yes—
369C2×C22⋊Dic79C2318yes—
370C2×C22⋊Dic79C2318yes—
371C2×C22⋊Dic79C2314yes—
372C22⋊C4×D79C2318yes—
373C2×C4×Dic79C2314yes—
374C2×C4×Dic79C2312yes—
3752−1+4×C79—44no—
376H(5,𝔽2)×C79—44no—
377C2×#41×C79C2312yes—
378C2×#41×C79C2311yescharacteristic
379C2×#41×C79C2312yes—
380C2×#41×C79C2312yes—
381C2×#41×C79C2312yes—
382C2×#41×C79C2314yes—
383C2×#41×C79C2311yescharacteristic
384C2×#41×C79C2311yescharacteristic
385C22×Q8×C79C2312yes—
386C22×Q8×C79C2312yes—
387C22×Q8×C79C2311yescharacteristic
388C22×D4×C79C2312yes—
389C22×D4×C79C2314yes—
390C22×D4×C79C2311yescharacteristic
391C22×D4×C79C2312yes—
392C4⋊Q8×C79C2312yes—
393C4⋊Q8×C79C2311yescharacteristic
394#127×C79C2312yes—
395#127×C79C2311yescharacteristic
396#124×C79C2318yes—
397#124×C79C2312yes—
398#124×C79C2314yes—
399#124×C79C2312yes—
400#124×C79C2311yescharacteristic
401#124×C79C2312yes—
402#124×C79C2312yes—
403#124×C79C2311yescharacteristic
404#123×C79C2314yes—
405#123×C79C2318yes—
406C22⋊Q8×C79C2314yes—
407C22⋊Q8×C79C2318yes—
408#121×C79C2318yes—
409#121×C79C2314yes—
410#121×C79C2318yes—
411#121×C79C2314yes—
412#120×C79C2314yes—
413#120×C79C2318yes—
414C4×Q8×C79C2312yes—
415C4×D4×C79C2314yes—
416C4×D4×C79C2318yes—
417C4×D4×C79C2312yes—
418C4×D4×C79C2314yes—
419#117×C79C2312yes—
420#117×C79C2311yescharacteristic
421C2×C22⋊C4×C79C2314yes—
422C2×C22⋊C4×C79C2318yes—
423C2×C42×C79C2312yes—
424C2×C42×C79C2311yescharacteristic
425C23×D79C2412yes—
426#11929624—48no—
427#11929624—44no—
428#11929623—216no—
429#11929623—416no—
430#11929623—416no—
431#11929623—48no—
432C2×Dic158—44no—
433C2×Dic158—44no—
434C2×Dic158—48no—
435C2×Dic158C2414yes—
436C2×Dic158C2418yes—
437C2×Dic158C2412yes—
438C2×Dic158C2414yes—
439C2×Dic158C2414yes—
440C2×Dic158C2414yes—
441C2×Dic158C2412yes—
442Q8×D79—48no—
443C2×D316C2412yes—
444C2×D316C2412yes—
445C2×C22⋊D79—48no—
446C2×C22⋊D79C2418yes—
447C2×C22⋊D79C2414yes—
448C2×C22⋊D79C2418yes—
449C2×C22⋊D79C2414yes—
450C2×C22⋊D79C2418yes—
451C2×C22⋊D79C2414yes—
452C2×C22⋊D79C2414yes—
453C22×Dic79—48no—
454C22×Dic79C2418yes—
455C22×Dic79C2414yes—
456C22×Dic79C2414yes—
457C22×Dic79C2418yes—
458C22×Dic79C2418yes—
459C22×Dic79C2414yes—
460C22×Dic79C2418yes—
461C22×Dic79C2412yes—
462C2×C4×D79—44no—
463C2×C4×D79C2414yes—
464C2×C4×D79C2418yes—
465C2×C4×D79C2414yes—
466C2×C4×D79C2418yes—
467C4⋊Dic79C2418yes—
468C4⋊Dic79C2414yes—
469C4⋊Dic79C2412yes—
470C4⋊Dic79C2412yes—
471C4⋊Dic79C2418yes—
472C4⋊Dic79C2414yes—
473C4⋊Dic79C2414yes—
474C4⋊Dic79C2414yes—
475C4⋊Dic79C2418yes—
476C4⋊Dic79C2414yes—
477Dic79⋊C4C2418yes—
478Dic79⋊C4C2418yes—
479Dic79⋊C4C2418yes—
480Dic79⋊C4C2414yes—
481Dic79⋊C4C2414yes—
482Dic79⋊C4C2414yes—
483Dic79⋊C4C2418yes—
484Dic79⋊C4C2418yes—
485Dic79⋊C4C2414yes—
486Dic79⋊C4C2418yes—
487Dic79⋊C4C2418yes—
488Dic79⋊C4C2418yes—
489Dic79⋊C4C2418yes—
490Dic79⋊C4C2418yes—
491Dic79⋊C4C2418yes—
492Dic79⋊C4C2418yes—
493Dic79⋊C4C2414yes—
494Dic79⋊C4C2414yes—
495Dic79⋊C4C2418yes—
496C22⋊Dic79C2418yes—
497C22⋊Dic79C2412yes—
498C22⋊Dic79C2412yes—
499C22⋊Dic79C2414yes—
500C22⋊Dic79C2414yes—
501C22⋊Dic79C2418yes—
502C22⋊Dic79C2414yes—
503C22⋊Dic79C2418yes—
504C22⋊Dic79C2418yes—
505C22⋊Dic79C2418yes—
506C22⋊Dic79C2418yes—
507C22⋊Dic79C2418yes—
508C22⋊Dic79C2414yes—
509C22⋊Dic79C2418yes—
510C22⋊Dic79C2414yes—
511(C2×D79)⋊C4C2418yes—
512(C2×D79)⋊C4C2418yes—
513(C2×D79)⋊C4C2414yes—
514(C2×D79)⋊C4C2414yes—
515(C2×D79)⋊C4C2414yes—
516(C2×D79)⋊C4C2414yes—
517(C2×D79)⋊C4C2414yes—
518(C2×D79)⋊C4C2414yes—
519(C2×D79)⋊C4C2418yes—
520C4×Dic79C2412yes—
521C4×Dic79C2412yes—
522C4×Dic79C2418yes—
523C4×Dic79C2414yes—
524C4×Dic79C2414yes—
525C4×Dic79C2418yes—
526C4×Dic79C2418yes—
527C4×Dic79C2414yes—
528C24×C79C2414yes—
529C24×C79C2412yes—
530#41×C79—28no—
531#41×C79—24no—
532#41×C79—42no—
533#41×C79—42no—
534#41×C79—44no—
535#41×C79—48no—
536#41×C79—44no—
537#41×C79—44no—
538C2×Q8×C79—44no—
539C2×Q8×C79—44no—
540C2×Q8×C79—42no—
541C2×Q8×C79C2412yes—
542C2×Q8×C79C2411yescharacteristic
543C2×Q8×C79C2414yes—
544C2×Q8×C79C2412yes—
545C2×Q8×C79C2411yescharacteristic
546C2×Q8×C79C2411yescharacteristic
547C2×D4×C79—28no—
548C2×D4×C79—42no—
549C2×D4×C79—44no—
550C2×D4×C79—48no—
551C2×D4×C79C2414yes—
552C2×D4×C79C2414yes—
553C2×D4×C79C2412yes—
554C2×D4×C79C2412yes—
555C2×D4×C79C2414yes—
556C2×D4×C79C2418yes—
557C2×D4×C79C2412yes—
558C2×D4×C79C2412yes—
559C2×D4×C79C2414yes—
560C2×D4×C79C2411yescharacteristic
561C2×D4×C79C2412yes—
562C2×D4×C79C2411yescharacteristic
563C2×D4×C79C2411yescharacteristic
564C22×C4×C79C2414yes—
565C22×C4×C79C2412yes—
566C22×C4×C79C2412yes—
567C22×C4×C79C2412yes—
568C22×C4×C79C2411yescharacteristic
569C22×C4×C79C2414yes—
570C22×C4×C79C2412yes—
571C22×C4×C79C2412yes—
572C22×C4×C79C2414yes—
573C22×C4×C79C2414yes—
574C4⋊C4×C79C2412yes—
575C4⋊C4×C79C2414yes—
576C4⋊C4×C79C2418yes—
577C4⋊C4×C79C2414yes—
578C22⋊C4×C79C2414yes—
579C22⋊C4×C79C2418yes—
580C22⋊C4×C79C2418yes—
581C22⋊C4×C79C2418yes—
582C22⋊C4×C79C2418yes—
583C22⋊C4×C79C2414yes—
584C22⋊C4×C79C2412yes—
585C22⋊C4×C79C2414yes—
586C42×C79C2411yescharacteristic
587C42×C79C2412yes—
588C42×C79C2411yescharacteristic
589C42×C79C2412yes—
590C42×C79C2414yes—
591C23×C79—28no—
592C23×C79—48no—
593C23×C79—42no—
594C23×C79—44no—
595C23×C79C2511yescharacteristic
596C23×C79C2512yes—
597C23×C79C2514yes—
598C23×C79C2512yes—
599C23×C79C2512yes—
600C22×D79—42no—
601C22×D79—44no—
602C22×D79C2514yes—
603Q8×C79—24no—
604Q8×C79—22no—
605Q8×C79—41no—
606Q8×C79—42no—
607Q8×C79—44no—
608Q8×C79—41no—
609D4×C79—28no—
610D4×C79—28no—
611D4×C79—24no—
612D4×C79—24no—
613D4×C79—42no—
614D4×C79—41no—
615D4×C79—44no—
616D4×C79—42no—
617D4×C79—44no—
618D4×C79—48no—
619D4×C79—41no—
620D4×C79—42no—
621D4×C79H(5,𝔽2)14yes—
622C2×C4×C79—28no—
623C2×C4×C79—24no—
624C2×C4×C79—24no—
625C2×C4×C79—24no—
626C2×C4×C79—22no—
627C2×C4×C79—42no—
628C2×C4×C79—44no—
629C2×C4×C79—44no—
630C2×C4×C79—44no—
631C2×C4×C79—42no—
632C2×C4×C79C2512yes—
633C2×C4×C79C2512yes—
634C2×C4×C79C2514yes—
635C2×C4×C79C2514yes—
636C2×C4×C79C2512yes—
637C2×C4×C79C2511yescharacteristic
638C2×C4×C79C2512yes—
639C2×C4×C79C2512yes—
640C2×C4×C79C2511yescharacteristic
641C22⋊D79—216no—
642C22⋊D79—48no—
643C22⋊D79—44no—
644C22⋊D79—44no—
645C22⋊D79—48no—
646C22⋊D79—44no—
647C22⋊D79—44no—
648C2×Dic79—216no—
649C2×Dic79—42no—
650C2×Dic79—44no—
651C2×Dic79—48no—
652C2×Dic79—48no—
653C2×Dic79—44no—
654C2×Dic79—48no—
655C2×Dic79—44no—
656C2×Dic79C2514yes—
657C2×Dic79C2518yes—
658C2×Dic79C2514yes—
659C2×Dic79C2518yes—
660C2×Dic79C2514yes—
661D316—42no—
662D316—42no—
663C4×D79—28no—
664C4×D79—44no—
665C4×D79—48no—
666C4×D79—48no—
667Dic158—28no—
668Dic158—48no—
669Dic158—44no—
670Dic158—42no—
671Dic158—44no—
672Dic158—44no—
673Dic158—42no—
674C22×C79—24no—
675C22×C79—22no—
676C22×C79—24no—
677C22×C79—21no—
678C22×C79—22no—
679C22×C79—22no—
680C22×C79—24no—
681C22×C79—24no—
682C22×C79—28no—
683C22×C79—88no—
684C22×C79—162no—
685C22×C79C2×H(5,𝔽2)14yes—
686C22×C79C2611yescharacteristic
687C2×D79—24no—
688C2×D79—24no—
689C2×D79—24no—
690C2×D79—84no—
691C4×C79—21no—
692C4×C79—22no—
693C4×C79—22no—
694C4×C79—22no—
695C4×C79—24no—
696C4×C79—22no—
697C4×C79—22no—
698C4×C79—24no—
699C4×C79C2×H(5,𝔽2)12yes—
700Dic79—28no—
701Dic79—24no—
702Dic79—24no—
703Dic79—28no—
704Dic79—24no—
705#63063—791nomaximal, Sylow
706C2×C79—24no—
707C2×C79—42no—
708C2×C79—42no—
709C2×C79—44no—
710C2×C79—41no—
711C2×C79C22×H(5,𝔽2)11yescharacteristic
712C2×C792−1+612yes—
713D79—44no—
714#3561—792no—
715#3560—798no—
716#3559—794no—
717#3552—794no—
718#3551—792no—
719#3550—791no—
720#3545—792no—
721#3544—794no—
722#3541—794no—
723#3538—792no—
724#3535—798no—
725#3533—794no—
726#3529—791no—
727C2×#563—792no—
728#3521—794no—
729#3515—792no—
730#3500D7911yescharacteristic, complemented
731#3499—792no—
732#3489—794no—
733#3485—792no—
734C79#6306311yescharacteristic, complemented, Sylow
735C2×2−1+4—792no—
736C2×2−1+4C2×D7911yescharacteristic, complemented
737C2×H(5,𝔽2)C2×D7911yescharacteristic
738C22×#41—792no—
739#563—792no—
740#563—791no—
741#563—794no—
742#563—798no—
743#563—794no—
744#563—792no—
745#563—798no—
746#563—794no—
747#563—792no—
748#563—794no—
749#563—798no—
750#562—792no—
751#562—794no—
752#562—794no—
753#562—798no—
754H(3,𝔽4)—791no—
755#560—792no—
756#560—794no—
757#560—794no—
758#559—792no—
759Q82—792no—
760#557—792no—
761#556—794no—
762#556—794no—
763#555—794no—
764#554—798no—
765#554—792no—
766#554—792no—
767#554—798no—
768#553—798no—
769#553—794no—
770#553—798no—
771#553—794no—
772#553—798no—
773#552—798no—
774#552—794no—
775#552—794no—
776#552—798no—
777#552—794no—
778#551—794no—
779#551—794no—
780#551—798no—
781#551—794no—
782#551—798no—
783#551—798no—
784D4×Q8—794no—
785D4×Q8—794no—
786D4×Q8—794no—
787D4×Q8—794no—
788#548—794no—
789#548—794no—
790#548C2×D7914yescomplemented
791#547—794no—
792#547—794no—
793#547—798no—
794#547—794no—
795#547—798no—
796#547—798no—
797#547—798no—
798#547—798no—
799#547—792no—
800#546—794no—
801#546—798no—
802#546—794no—
803#546—798no—
804#546—798no—
805#546C2×D7914yescomplemented
806#546C2×D7918yescomplemented
807#544—798no—
808#544—798no—
809#543—794no—
810#542—798no—
811#542—798no—
812#542—794no—
813#542—798no—
814#542—798no—
815#541—794no—
816#541—794no—
817#540—798no—
818#539—798no—
819#539—798no—
820#539—798no—
821#539—798no—
822#539—798no—
823#539—798no—
824#538—798no—
825#538—798no—
826#538—798no—
827#538—798no—
828#538—794no—
829#537—798no—
830#537—794no—
831#536—792no—
832#536—792no—
833#536—794no—
834#536—792no—
835#536—792no—
836#536—794no—
837#536—794no—
838#536—798no—
839#536C2×D7911yescharacteristic
840#536C2×D7912yescomplemented
841#535C2×D7912yes—
842#535C2×D7911yescharacteristic, complemented
843#534—794no—
844#534—794no—
845#533—792no—
846#532—792no—
847#532—794no—
848#532C2×D7911yescharacteristic
849#532C2×D7912yescomplemented
850C2×C4⋊Q8—794no—
851C2×C4⋊Q8—792no—
852#529—798no—
853#529—794no—
854#529—794no—
855#529—792no—
856#529—794no—
857C2×#126—798no—
858C2×#125—794no—
859C2×#124C2×D7912yes—
860C2×#124C2×D7911yescharacteristic, complemented
861#525—792no—
862#525—792no—
863#525—798no—
864#525—794no—
865C2×#123—794no—
866C2×#123—794no—
867C2×C22⋊Q8—794no—
868C2×C22⋊Q8—798no—
869#520—794no—
870#518—792no—
871C4×#41—792no—
872C4×#41C2×D7911yescharacteristic, complemented
8732−1+4—44no—
8742−1+4—3168no—
875H(5,𝔽2)—44no—
876C2×#41—3168no—
877C2×#41—798no—
878C2×#41—798no—
879C2×#41—794no—
880C2×#41—794no—
881C2×#41—792no—
882C2×#41—794no—
883C2×#41C22×D7912yes—
884C2×#41C22×D7911yescharacteristic
885C2×#41C22×D7911yescharacteristic
886C2×#41C22×D7912yes—
887C2×#41C22×D7911yescharacteristic
888C2×#41C22×D7914yes—
889C2×#41C22×D7912yes—
890C2×#41C22×D7912yes—
891C22×Q8—794no—
892C22×Q8—794no—
893C22×Q8—792no—
894C22×Q8—792no—
895C22×Q8C22×D7912yes—
896C22×Q8C22×D7911yescharacteristic
897C22×Q8C22×D7912yes—
898C22×D4—794no—
899C22×D4C22×D7912yes—
900C22×D4C22×D7912yes—
901C22×D4C22×D7914yes—
902C22×D4C22×D7911yescharacteristic
903C23×C4—794no—
904C23×C4—792no—
905C4⋊Q8—792no—
906C4⋊Q8—794no—
907C4⋊Q8—794no—
908C4⋊Q8—794no—
909C4⋊Q8—794no—
910C4⋊Q8—794no—
911C4⋊Q8—794no—
912C4⋊Q8—798no—
913C4⋊Q8—798no—
914C4⋊Q8—794no—
915C4⋊Q8—798no—
916C4⋊Q8—798no—
917C4⋊Q8—792no—
918C4⋊Q8—792no—
919C4⋊Q8C22×D7911yescharacteristic
920C4⋊Q8C22×D7912yes—
921#127—792no—
922#127C22×D7911yescharacteristic
923#127C22×D7912yes—
924#126—794no—
925#126—798no—
926#126—794no—
927#126—798no—
928#126—798no—
929#126—798no—
930#126—798no—
931#126—798no—
932#126—798no—
933#126—798no—
934#126—798no—
935#126—798no—
936#126—798no—
937#126—798no—
938#126—798no—
939#126—794no—
940#125—798no—
941#125—794no—
942#125—794no—
943#125—798no—
944#125—798no—
945#125—798no—
946#125—798no—
947#125—792no—
948#125—794no—
949#125—794no—
950#125—794no—
951#125—798no—
952#125—798no—
953#124—794no—
954#124—792no—
955#124—794no—
956#124—794no—
957#124—792no—
958#124—794no—
959#124—798no—
960#124—798no—
961#124—794no—
962#124—798no—
963#124—798no—
964#124—792no—
965#124C22×D7911yescharacteristic
966#124C22×D7912yes—
967#124C22×D7912yes—
968#124C22×D7912yes—
969#124C22×D7918yes—
970#124C22×D7912yes—
971#124C22×D7914yes—
972#124C22×D7911yescharacteristic
973#123—792no—
974#123—794no—
975#123—792no—
976#123—794no—
977#123—794no—
978#123—794no—
979#123—794no—
980#123—798no—
981#123—798no—
982#123—798no—
983#123—798no—
984#123—798no—
985#123—798no—
986#123—794no—
987#123—794no—
988#123—794no—
989#123—798no—
990#123—798no—
991#123—798no—
992#123—794no—
993#123—798no—
994#123—798no—
995#123—794no—
996#123—798no—
997#123—794no—
998#123—794no—
999#123—798no—
1000#123—798no—
1001#123—798no—
1002#123—798no—
1003#123—798no—
1004#123C22×D7918yes—
1005#123C22×D7914yes—
1006C22⋊Q8—794no—
1007C22⋊Q8—794no—
1008C22⋊Q8—794no—
1009C22⋊Q8—798no—
1010C22⋊Q8—798no—
1011C22⋊Q8—794no—
1012C22⋊Q8—794no—
1013C22⋊Q8—794no—
1014C22⋊Q8—792no—
1015C22⋊Q8—794no—
1016C22⋊Q8—794no—
1017C22⋊Q8—798no—
1018C22⋊Q8—798no—
1019C22⋊Q8—798no—
1020C22⋊Q8—798no—
1021C22⋊Q8—794no—
1022C22⋊Q8—794no—
1023C22⋊Q8—798no—
1024C22⋊Q8—798no—
1025C22⋊Q8—794no—
1026C22⋊Q8—798no—
1027C22⋊Q8—798no—
1028C22⋊Q8—798no—
1029C22⋊Q8—798no—
1030C22⋊Q8—798no—
1031C22⋊Q8—798no—
1032C22⋊Q8—798no—
1033C22⋊Q8—798no—
1034C22⋊Q8—798no—
1035C22⋊Q8—794no—
1036C22⋊Q8—798no—
1037C22⋊Q8—798no—
1038C22⋊Q8—798no—
1039C22⋊Q8C22×D7914yes—
1040C22⋊Q8C22×D7918yes—
1041#121—794no—
1042#121—798no—
1043#121—794no—
1044#121—794no—
1045#121—798no—
1046#121—794no—
1047#121—798no—
1048#121—798no—
1049#121—794no—
1050#121—794no—
1051#121—798no—
1052#121—798no—
1053#121—798no—
1054#121—798no—
1055#121—798no—
1056#121—794no—
1057#121—792no—
1058#121—794no—
1059#121—798no—
1060#121—798no—
1061#121C22×D7914yes—
1062#121C22×D7914yes—
1063#121C22×D7918yes—
1064#121C22×D7918yes—
1065#120—798no—
1066#120—798no—
1067#120—794no—
1068#120—792no—
1069#120—792no—
1070#120—794no—
1071#120—794no—
1072#120C22×D7918yes—
1073#120C22×D7914yes—
1074C4×Q8—794no—
1075C4×Q8—794no—
1076C4×Q8—798no—
1077C4×Q8—794no—
1078C4×Q8—792no—
1079C4×Q8—794no—
1080C4×Q8—794no—
1081C4×Q8C22×D7912yes—
1082C4×D4—794no—
1083C4×D4—798no—
1084C4×D4—798no—
1085C4×D4—794no—
1086C4×D4—798no—
1087C4×D4—798no—
1088C4×D4—798no—
1089C4×D4—798no—
1090C4×D4—794no—
1091C4×D4—794no—
1092C4×D4—794no—
1093C4×D4—798no—
1094C4×D4—798no—
1095C4×D4—798no—
1096C4×D4—798no—
1097C4×D4—798no—
1098C4×D4—798no—
1099C4×D4—798no—
1100C4×D4—792no—
1101C4×D4—794no—
1102C4×D4C22×D7912yes—
1103C4×D4C22×D7914yes—
1104C4×D4C22×D7914yes—
1105C4×D4C22×D7918yes—
1106#117—794no—
1107#117—792no—
1108#117—792no—
1109#117—792no—
1110#117—794no—
1111#117—798no—
1112#117—798no—
1113#117—798no—
1114#117—798no—
1115#117—794no—
1116#117—798no—
1117#117C22×D7912yes—
1118#117C22×D7911yescharacteristic
1119C2×C4⋊C4—798no—
1120C2×C4⋊C4—794no—
1121C2×C4⋊C4—798no—
1122C2×C4⋊C4—798no—
1123C2×C4⋊C4—798no—
1124C2×C4⋊C4—794no—
1125C2×C4⋊C4—798no—
1126C2×C4⋊C4—794no—
1127C2×C4⋊C4—798no—
1128C2×C22⋊C4—794no—
1129C2×C22⋊C4—794no—
1130C2×C22⋊C4—798no—
1131C2×C22⋊C4—798no—
1132C2×C22⋊C4—798no—
1133C2×C22⋊C4C22×D7918yes—
1134C2×C22⋊C4C22×D7914yes—
1135C2×C42—794no—
1136C2×C42—792no—
1137C2×C42C22×D7912yes—
1138C2×C42C22×D7911yescharacteristic
1139C24—792no—
1140C24C23×D7914yes—
1141C24C23×D7912yes—
1142#41—24no—
1143#41—28no—
1144#41—42no—
1145#41—42no—
1146#41—44no—
1147#41—44no—
1148#41—48no—
1149#41—44no—
1150#41—3168no—
1151#41—3164no—
1152#41—3168no—
1153#41—31616no—
1154#41—31616no—
1155#41—15816no—
1156C2×Q8—44no—
1157C2×Q8—42no—
1158C2×Q8—44no—
1159C2×Q8—3164no—
1160C2×Q8—3164no—
1161C2×Q8—3168no—
1162C2×Q8—3168no—
1163C2×Q8—792no—
1164C2×Q8—794no—
1165C2×Q8—798no—
1166C2×Q8—792no—
1167C2×Q8—794no—
1168C2×Q8—794no—
1169C2×Q8—794no—
1170C2×Q8C23×D7912yes—
1171C2×Q8C23×D7911yescharacteristic
1172C2×Q8C23×D7912yes—
1173C2×Q8C23×D7911yescharacteristic
1174C2×Q8C23×D7914yes—
1175C2×Q8C23×D7911yescharacteristic
1176C2×D4—28no—
1177C2×D4—42no—
1178C2×D4—44no—
1179C2×D4—48no—
1180C2×D4—3168no—
1181C2×D4—794no—
1182C2×D4—798no—
1183C2×D4—794no—
1184C2×D4—794no—
1185C2×D4—794no—
1186C2×D4—798no—
1187C2×D4—798no—
1188C2×D4—792no—
1189C2×D4—792no—
1190C2×D4C23×D7914yes—
1191C2×D4C23×D7914yes—
1192C2×D4C23×D7912yes—
1193C2×D4C23×D7912yes—
1194C2×D4C23×D7914yes—
1195C2×D4C23×D7918yes—
1196C2×D4C23×D7911yescharacteristic
1197C2×D4C23×D7914yes—
1198C2×D4C23×D7912yes—
1199C2×D4C23×D7912yes—
1200C2×D4C23×D7912yes—
1201C2×D4C23×D7911yescharacteristic
1202C2×D4C23×D7911yescharacteristic
1203C22×C4—3164no—
1204C22×C4—3168no—
1205C22×C4—798no—
1206C22×C4—794no—
1207C22×C4—798no—
1208C22×C4—798no—
1209C22×C4—794no—
1210C22×C4—794no—
1211C22×C4—792no—
1212C22×C4—798no—
1213C22×C4—798no—
1214C22×C4—794no—
1215C22×C4—798no—
1216C22×C4—794no—
1217C22×C4C23×D7914yes—
1218C22×C4C23×D7912yes—
1219C22×C4C23×D7912yes—
1220C22×C4C23×D7911yescharacteristic
1221C22×C4C23×D7912yes—
1222C22×C4C23×D7914yes—
1223C22×C4C23×D7912yes—
1224C22×C4C23×D7912yes—
1225C22×C4C23×D7914yes—
1226C22×C4C23×D7914yes—
1227C4⋊C4—798no—
1228C4⋊C4—794no—
1229C4⋊C4—798no—
1230C4⋊C4—794no—
1231C4⋊C4—798no—
1232C4⋊C4—794no—
1233C4⋊C4—798no—
1234C4⋊C4—794no—
1235C4⋊C4—798no—
1236C4⋊C4—798no—
1237C4⋊C4—798no—
1238C4⋊C4—798no—
1239C4⋊C4—798no—
1240C4⋊C4—798no—
1241C4⋊C4—798no—
1242C4⋊C4—798no—
1243C4⋊C4—794no—
1244C4⋊C4—798no—
1245C4⋊C4—794no—
1246C4⋊C4—798no—
1247C4⋊C4—792no—
1248C4⋊C4—792no—
1249C4⋊C4—794no—
1250C4⋊C4—798no—
1251C4⋊C4—794no—
1252C4⋊C4—794no—
1253C4⋊C4—794no—
1254C4⋊C4—798no—
1255C4⋊C4—794no—
1256C4⋊C4C23×D7912yes—
1257C4⋊C4C23×D7918yes—
1258C4⋊C4C23×D7914yes—
1259C4⋊C4C23×D7914yes—
1260C22⋊C4—792no—
1261C22⋊C4—792no—
1262C22⋊C4—794no—
1263C22⋊C4—794no—
1264C22⋊C4—798no—
1265C22⋊C4—794no—
1266C22⋊C4—798no—
1267C22⋊C4—798no—
1268C22⋊C4—798no—
1269C22⋊C4—798no—
1270C22⋊C4—798no—
1271C22⋊C4—798no—
1272C22⋊C4—794no—
1273C22⋊C4—798no—
1274C22⋊C4—794no—
1275C22⋊C4—798no—
1276C22⋊C4—798no—
1277C22⋊C4—794no—
1278C22⋊C4—794no—
1279C22⋊C4—794no—
1280C22⋊C4—794no—
1281C22⋊C4—798no—
1282C22⋊C4—794no—
1283C22⋊C4—794no—
1284C22⋊C4C23×D7918yes—
1285C22⋊C4C23×D7914yes—
1286C22⋊C4C23×D7918yes—
1287C22⋊C4C23×D7918yes—
1288C22⋊C4C23×D7918yes—
1289C22⋊C4C23×D7914yes—
1290C22⋊C4C23×D7912yes—
1291C22⋊C4C23×D7914yes—
1292C42—792no—
1293C42—792no—
1294C42—794no—
1295C42—798no—
1296C42—794no—
1297C42—794no—
1298C42—798no—
1299C42—798no—
1300C42C23×D7911yescharacteristic
1301C42C23×D7912yes—
1302C42C23×D7912yes—
1303C42C23×D7911yescharacteristic
1304C42C23×D7914yes—
1305C23—28no—
1306C23—48no—
1307C23—42no—
1308C23—44no—
1309C23—3162no—
1310C23—3164no—
1311C23—794no—
1312C23C24×D7911yescharacteristic
1313C23C24×D7912yes—
1314C23C24×D7914yes—
1315C23C24×D7912yes—
1316C23C24×D7912yes—
1317Q8—24no—
1318Q8—22no—
1319Q8—41no—
1320Q8—42no—
1321Q8—44no—
1322Q8—41no—
1323Q8—3162no—
1324Q8—3164no—
1325Q8—3168no—
1326Q8—3164no—
1327Q8—3162no—
1328Q8—3164no—
1329Q8—1588no—
1330D4—28no—
1331D4—24no—
1332D4—28no—
1333D4—24no—
1334D4—41no—
1335D4—42no—
1336D4—44no—
1337D4—42no—
1338D4—48no—
1339D4—44no—
1340D4—41no—
1341D4—42no—
1342D4—3162no—
1343D4—3162no—
1344D4—3168no—
1345D4—3164no—
1346D4—3164no—
1347D4—3168no—
1348D4—3164no—
1349D4—3164no—
1350D4—15816no—
1351D4#1457920614yes—
1352C2×C4—24no—
1353C2×C4—28no—
1354C2×C4—24no—
1355C2×C4—22no—
1356C2×C4—24no—
1357C2×C4—44no—
1358C2×C4—42no—
1359C2×C4—44no—
1360C2×C4—44no—
1361C2×C4—42no—
1362C2×C4—3164no—
1363C2×C4—3168no—
1364C2×C4—3168no—
1365C2×C4—3162no—
1366C2×C4—3164no—
1367C2×C4—3168no—
1368C2×C4—3164no—
1369C2×C4—3168no—
1370C2×C4—3164no—
1371C2×C4—3168no—
1372C2×C4—794no—
1373C2×C4—798no—
1374C2×C4—794no—
1375C2×C4—798no—
1376C2×C4—794no—
1377C2×C4—15816no—
1378C2×C4—1588no—
1379C2×C4C24×D7912yes—
1380C2×C4C24×D7912yes—
1381C2×C4C24×D7914yes—
1382C2×C4C24×D7914yes—
1383C2×C4C24×D7912yes—
1384C2×C4C24×D7911yescharacteristic
1385C2×C4C24×D7912yes—
1386C2×C4C24×D7912yes—
1387C2×C4C24×D7911yescharacteristic
1388C22—24no—
1389C22—22no—
1390C22—21no—
1391C22—22no—
1392C22—24no—
1393C22—22no—
1394C22—24no—
1395C22—28no—
1396C22—24no—
1397C22—88no—
1398C22—162no—
1399C22—6324no—
1400C22—1584no—
1401C22—1584no—
1402C22—1584no—
1403C22C2×#1457920614yes—
1404C22C25×D7911yescharacteristic
1405C4—21no—
1406C4—22no—
1407C4—22no—
1408C4—22no—
1409C4—24no—
1410C4—22no—
1411C4—24no—
1412C4—22no—
1413C4—1584no—
1414C4—1588no—
1415C4—1584no—
1416C4—1588no—
1417C4—1584no—
1418C4C2×#1457920612yes—
1419C2—24no—
1420C2—42no—
1421C2—44no—
1422C2—41no—
1423C2—42no—
1424C2—3164no—
1425C2C22×#1457920611yescharacteristic
1426C2#2377821312yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3500C2
hypercenter#3500D79
hypocenterC79#63063
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. #23777972C2semidirect
2. #23777940C2semidirect
3. #23777938C2semidirect
4. #23777831C2semidirect
5. #23777824C2semidirect
6. #23777814C2semidirect
7. #23777757C2semidirect
8. #23777738C2semidirect
9. #23777691C2semidirect
10. #23777643C2semidirect
11. #23777597C2semidirect
12. #23777573C2semidirect
13. #23777536C2semidirect
14. C2×#19099313C2semidirect
15. #23777453C2semidirect
16. #23777378C2semidirect
17. #23777181C2semidirect
18. #23777071C2semidirect
19. #23777040C2semidirect
20. C79×#3500C2semidirect
21. C2×#14579208C22semidirect
22. C22×#11929623C22semidirect
23. #19099316C22semidirect
24. #19099314C22semidirect
25. #19099313C22semidirect
26. #19099313C22semidirect
27. #19099313C22semidirect
28. #19099313C22semidirect
29. #19099313C22semidirect
30. #19099313C22semidirect
31. #19099313C22semidirect
32. #19099313C22semidirect
33. #19099312C22semidirect
34. #19099308C22semidirect
35. #19099308C22semidirect
36. #19099307C22semidirect
37. #19099307C22semidirect
38. #19099305C22semidirect
39. #19099302C22semidirect
40. #19099301C22semidirect
41. #19099300C22semidirect
42. #19099299C22semidirect
43. #19099293C22semidirect
44. #19099291C22semidirect
45. #19099283C22semidirect
46. #19099282C22semidirect
47. #19099275C22semidirect
48. #19099273C22semidirect
49. #19099272C22semidirect
50. #19099270C22semidirect
51. #19099267C22semidirect
52. #19099265C22semidirect
53. #19099263C22semidirect
54. #19099260C22semidirect
55. #19099259C22semidirect
56. #19099256C22semidirect
57. #19099253C22semidirect
58. #19099252C22semidirect
59. #19099250C22semidirect
60. #19099247C22semidirect
61. #19099246C22semidirect
62. #19099244C22semidirect
63. #19099244C22semidirect
64. #19099243C22semidirect
65. #19099241C22semidirect
66. #19099239C22semidirect
67. #19099239C22semidirect
68. D4×Dic158C22semidirect
69. Q8×C22⋊D79C22semidirect
70. Q8×C22⋊D79C22semidirect
71. #19099226C22semidirect
72. #19099221C22semidirect
73. #19099219C22semidirect
74. #19099217C22semidirect
75. #19099213C22semidirect
77. #19099212C22semidirect
78. #19099212C22semidirect
79. #19099212C22semidirect
80. #19099212C22semidirect
81. #19099212C22semidirect
82. #19099211C22semidirect
85. #19099207C22semidirect
86. #19099203C22semidirect
87. #19099200C22semidirect
88. #19099192C22semidirect
89. #19099190C22semidirect
90. #19099189C22semidirect
91. #19099183C22semidirect
92. #19099182C22semidirect
93. #19099180C22semidirect
94. #19099177C22semidirect
95. #19099177C22semidirect
96. #19099173C22semidirect
97. #19099171C22semidirect
98. #19099167C22semidirect
99. #19099158C22semidirect
100. #19099158C22semidirect
101. #19099156C22semidirect
102. #19099155C22semidirect
103. #19099155C22semidirect
104. #19099155C22semidirect
105. #19099151C22semidirect
106. #19099148C22semidirect
107. #19099148C22semidirect
108. #19099147C22semidirect
109. #19099145C22semidirect
110. #19099142C22semidirect
111. #19099140C22semidirect
112. #19099137C22semidirect
113. #19099137C22semidirect
114. #19099135C22semidirect
116. #19099134C22semidirect
117. #19099134C22semidirect
118. #19099134C22semidirect
119. #19099133C22semidirect
121. #19099122C22semidirect
122. #19099120C22semidirect
123. #19099109C22semidirect
124. #19099109C22semidirect
125. C2×#14579159C22semidirect
126. C2×#14579159C22semidirect
127. #19099097C22semidirect
128. #19099097C22semidirect
129. #19099094C22semidirect
130. #19099093C22semidirect
131. #19099090C22semidirect
132. C2×#14579154C22semidirect
133. C2×#14579153C22semidirect
134. #19099072C22semidirect
136. #19099070C22semidirect
137. #19099069C22semidirect
139. C2×#14579142C22semidirect
140. C2×#14579138C22semidirect
141. C22⋊Q8×D79C22semidirect
142. #19099042C22semidirect
143. #19099038C22semidirect
144. #41×Dic79C22semidirect
145. C2×2−1+4×C79C22semidirect
147. #548×C79C22semidirect
148. #546×C79C22semidirect
149. #546×C79C22semidirect
151. #536×C79C22semidirect
153. #535×C79C22semidirect
155. #532×C79C22semidirect
157. C2×#124×C79C22semidirect
158. C4×#41×C79C22semidirect
730. #3500D79semidirect
734. C79#63063semidirect
736. C2×2−1+4C2×D79semidirect
790. #548C2×D79semidirect
805. #546C2×D79semidirect
806. #546C2×D79semidirect
840. #536C2×D79semidirect
842. #535C2×D79semidirect
849. #532C2×D79semidirect
860. C2×#124C2×D79semidirect
872. C4×#41C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779722
#237779402
#237779382
#237778312
#237778242
#237778142
#237777572
#237777382
#237776912
#237776432
#237775972
#237775732
#237775362
C2×#190993132
#237774532
#237773782
#237771812
#237770712
#237770402
C79×#35002
#6306379