Finite Group Databasebeta

← #35196872

Subgroups — #35196872

Order 20224.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777502C212yesmaximal, complemented
2#23777491C211yesmaximal, characteristic, complemented
3#23777480C211yesmaximal, characteristic, complemented
4#23777457C216yesmaximal, complemented
5#23777440C213yesmaximal, complemented
6#23777423C213yesmaximal, complemented
7#23777412C211yesmaximal, characteristic, complemented
8#23777401C211yesmaximal, characteristic, complemented
9#23777386C212yesmaximal, complemented
10#23777369C213yesmaximal, complemented
11#23777352C213yesmaximal, complemented
12#23777329C216yesmaximal, complemented
13#23776997C213yesmaximal, complemented
14#41×Dic158C211yesmaximal, characteristic, complemented
15#23776960C216yesmaximal, complemented
16#23776958C213yesmaximal, complemented
17#41×C22⋊D79C212yesmaximal, complemented
18#23776788C216yesmaximal, complemented
19#23776695C213yesmaximal, complemented
20C2×#19099095C213yesmaximal, complemented
21#23776603C212yesmaximal, complemented
22C4×#41×D79C211yesmaximal, characteristic, complemented
23D4×#41×C79C211yesmaximal, characteristic, complemented
24C2×#41×D79C2211yescharacteristic
25#19099299C2213yescomplemented
26#19099295C2216yescomplemented
27Q8×Dic158C2211yescharacteristic, complemented
28#19099292C2211yescharacteristic, complemented
29#19099289C2212yescomplemented
30#19099288C2213yescomplemented
31#19099287C2213yescomplemented
32#19099284C2216yescomplemented
33#19099283C2213yescomplemented
34#19099282C2216yescomplemented
35#19099278C2213yescomplemented
36#19099277C2216yescomplemented
37#19099272C2216yescomplemented
38#19099271C2216yescomplemented
39#19099270C2213yescomplemented
40#19099270C2213yescomplemented
41#19099265C2216yescomplemented
42#19099265C2216yescomplemented
43#19099260C2216yescomplemented
44#19099259C2216yescomplemented
45#19099256C22112yescomplemented
46#19099255C2216yescomplemented
47#19099253C2216yescomplemented
48#19099250C22112yescomplemented
49#19099248C2216yescomplemented
50#19099247C2216yescomplemented
51#19099244C22112yescomplemented
52#19099239C22112yescomplemented
53#19099236C22112yescomplemented
54#19099233C2213yescomplemented
55#19099232C2212yescomplemented
56D4×Dic158C2213yescomplemented
57Q8×C22⋊D79C2212yescomplemented
58#19099224C2212yescomplemented
59#19099220C2212yescomplemented
60#19099219C2216yescomplemented
61#19099217C2213yescomplemented
62#19099213C2216yescomplemented
63#19099212C2216yescomplemented
64#19099207C2216yescomplemented
65#19099207C2216yescomplemented
66#19099201C2216yescomplemented
67#19099200C22112yescomplemented
68D4×C22⋊D79C2216yescomplemented
69#19099186C2216yescomplemented
70#19099186C2216yescomplemented
71#19099180C2216yescomplemented
72#19099180C2216yescomplemented
73#19099173C2216yescomplemented
74#19099173C2216yescomplemented
75#19099166C2216yescomplemented
76#19099166C2216yescomplemented
77#19099157C22112yescomplemented
78#19099157C22112yescomplemented
79#19099148C22112yescomplemented
80#19099148C22112yescomplemented
81#19099120C2213yescomplemented
82#19099118C2213yescomplemented
83#19099118C2213yescomplemented
84#19099116C2216yescomplemented
85#19099111C2213yescomplemented
86#19099111C2213yescomplemented
87#19099109C2216yescomplemented
88#19099095C2213yes—
89#19099095C2211yescharacteristic
90#19099095C2216yescomplemented
91#19099095C2216yescomplemented
92#19099095C2216yescomplemented
93#19099095C2213yescomplemented
94#19099095C2213yescomplemented
95#19099095C2213yescomplemented
96#19099095C2216yescomplemented
97#19099095C2213yescomplemented
98#19099095C2213yescomplemented
99#19099095C2216yescomplemented
100#19099095C2213yescomplemented
101#19099094C2216yescomplemented
102#19099094C2216yescomplemented
103#19099093C22112yescomplemented
104#19099093C22112yescomplemented
105#19099092C2216yescomplemented
106#19099092C2216yescomplemented
107C2×#14579154C2216yescomplemented
108C2×#14579152C2213yescomplemented
109C2×#14579148C2213yescomplemented
110#19099074C2216yescomplemented
111#19099073C2216yescomplemented
112#19099073C2216yescomplemented
113#19099070C2216yescomplemented
114C2×#14579143C2216yescomplemented
115C2×#14579141C2213yescomplemented
116C2×#14579132C2213yes—
117#19099046C2216yescomplemented
118#19099046C2212yescomplemented
119#19099046C2216yescomplemented
120#19099046C2212yescomplemented
121#19099041C2212yescomplemented
122#19099041C2212yescomplemented
123#19099038C2216yescomplemented
124#19099038C2216yescomplemented
125#41×Dic79C2211yescharacteristic
126#41×Dic79C2212yes—
127#41×Dic79C2216yescomplemented
128#41×Dic79C2216yescomplemented
129C4×#11929625C2211yescharacteristic, complemented
130C4×#11929625C2211yescharacteristic, complemented
131C4×#11929624C2213yescomplemented
132#19099031C2213yescomplemented
133C4×#11929623C2213yescomplemented
134C4×#11929623C2213yescomplemented
135C4×#11929623C2216yescomplemented
136C4×#11929623C2216yescomplemented
137C2×C4×Dic158C2213yescomplemented
138C4×Q8×D79C2211yescharacteristic, complemented
139C4×Q8×D79C2211yescharacteristic, complemented
140C2×C4×C22⋊D79C2216yescomplemented
141C4×D4×D79C2213yescomplemented
142C4×D4×D79C2213yescomplemented
143C2×#14579120C2216yescomplemented
144C2×#14579120C2216yescomplemented
145#117×D79C2213yescomplemented
146C2×C42×D79C2213yescomplemented
147C22×#41×C79C2212yes—
148#550×C79C2211yescharacteristic, complemented
149D4×Q8×C79C2211yescharacteristic, complemented
150#548×C79C2212yescomplemented
151#547×C79C2213yescomplemented
152#546×C79C2216yescomplemented
153D42×C79C2213yescomplemented
154#532×C79C2213yescomplemented
155#525×C79C2216yescomplemented
156C4×#41×C79C2211yescharacteristic
157C2×C4×D4×C79C2213yescomplemented
158C2×#11929625C2311yescharacteristic
159C2×#11929624C2313yes—
160C2×#11929623C2313yes—
161C2×#11929623C2316yes—
162C2×#11929623C2316yes—
163#41×D79—28no—
164C22×Dic158C2313yes—
165C2×Q8×D79C2311yescharacteristic
166C22×C22⋊D79C2316yes—
167C2×D4×D79C2313yes—
168C22×C4×D79C2313yes—
169C22×C4×D79C2313yes—
170C22×C4×D79C2313yes—
171#14579161C2313yes—
172#14579161C2313yes—
173#14579160C2316yes—
174#14579160C2316yes—
175#14579159C2316yes—
176#14579157C2316yes—
177#14579156C23112yes—
178#14579156C23112yes—
179#14579154C2316yes—
180#14579154C23112yes—
181#14579154C23112yes—
182#14579154C23112yes—
183#14579154C2316yes—
184#14579154C2316yes—
185#14579154C2316yes—
186#14579154C2316yes—
187#14579154C2316yes—
188#14579154C2312yes—
189#14579154C2316yes—
190#14579153C2316yes—
191#14579152C2316yes—
192#14579152C2316yes—
193#14579152C2316yes—
194#14579152C2316yes—
195#14579152C2313yes—
196#14579152C2316yes—
197#14579152C2313yes—
198#14579152C2311yescharacteristic
199#14579152C2313yes—
200#14579151C23112yes—
201#14579151C23112yes—
202#14579150C2316yes—
203#14579148C2316yes—
204#14579148C2316yes—
205#14579148C2316yes—
206#14579148C2313yes—
207#14579148C2313yes—
208#14579148C2316yes—
209#14579148C2311yescharacteristic
210#14579148C2313yes—
211#14579147C23112yes—
212#14579147C23112yes—
213#14579145C23112yes—
214#14579145C23112yes—
215#14579144C23112yes—
216#14579143C2316yes—
217#14579143C23112yes—
218#14579143C2316yes—
219#14579143C2316yes—
220#14579143C2316yes—
221#14579143C2316yes—
222#14579143C2316yes—
223#14579143C2312yes—
224#14579143C2316yes—
225#14579142C23112yes—
226#14579142C23112yes—
227#14579142C23112yes—
228#14579141C2316yes—
229#14579141C2316yes—
230#14579141C2313yes—
231#14579141C2313yes—
232#14579141C2316yes—
233#14579141C2311yescharacteristic
234#14579141C2313yes—
235#14579140C2316yes—
236#14579140C2316yes—
237#14579140C2316yes—
238#14579140C2316yes—
239#14579138C23112yes—
240#14579138C23112yes—
241#14579138C23112yes—
242#14579138C23112yes—
243#14579137C2316yes—
244#14579137C2316yes—
245#14579135C2316yes—
246#14579135C2316yes—
247#14579133C23112yes—
248#14579133C23112yes—
249#14579133C23112yes—
250#14579133C23112yes—
251#14579132C2316yes—
252#14579132C2316yes—
253#14579132C2316yes—
254#14579132C2316yes—
255#14579132C2313yes—
256#14579132C2316yes—
257#14579132C2313yes—
258#14579132C2311yescharacteristic
259#14579132C2313yes—
260#14579130C23112yes—
261#14579129C23112yes—
262Q8×Dic79C2316yes—
263Q8×Dic79C2316yes—
264Q8×Dic79C2312yes—
265Q8×Dic79C2312yes—
266Q8×Dic79C2316yes—
267Q8×Dic79C2316yes—
268Q8×Dic79C2311yescharacteristic
269Q8×Dic79C2311yescharacteristic
270C4×Dic158C2313yes—
271C4×Dic158C2313yes—
272C4×Dic158C2313yes—
273C4×Dic158C2313yes—
274C4×Dic158C2316yes—
275C4×Dic158C2311yescharacteristic
276C4×Dic158C2313yes—
277C4×Dic158C2316yes—
278C4×Dic158C2316yes—
279#14579126C2313yes—
280#14579126C2313yes—
281#14579126C2316yes—
282#14579126C2316yes—
283C4×D316C2313yes—
284C4×D316C2313yes—
285D4×Dic79C23112yes—
286D4×Dic79C23112yes—
287D4×Dic79C2316yes—
288D4×Dic79C2316yes—
289D4×Dic79C2316yes—
290D4×Dic79C23112yes—
291D4×Dic79C2316yes—
292D4×Dic79C2316yes—
293D4×Dic79C2316yes—
294D4×Dic79C23112yes—
295D4×Dic79C2316yes—
296D4×Dic79C2316yes—
297D4×Dic79C2313yes—
298D4×Dic79C2313yes—
299#14579123C2313yes—
300#14579123C2313yes—
301C4×C22⋊D79C2316yes—
302C4×C22⋊D79C2316yes—
303C4×C22⋊D79C2316yes—
304C4×C22⋊D79C2316yes—
305C4×C22⋊D79C2316yes—
306C4×C22⋊D79C2316yes—
307C4×C22⋊D79C2312yes—
308C4×C22⋊D79C2316yes—
309C4×C22⋊D79C2316yes—
310C4×C22⋊D79C2316yes—
311C4×C22⋊D79C23112yes—
312(C22⋊D79)⋊C4C2316yes—
313(C22⋊D79)⋊C4C2316yes—
314(C22⋊D79)⋊C4C23112yes—
315(C22⋊D79)⋊C4C23112yes—
316#14579120C2316yes—
317#14579120C2316yes—
318#14579120C2316yes—
319#14579120C2316yes—
320#14579120C23112yes—
321#14579120C2316yes—
322#14579120C2316yes—
323#14579120C2313yes—
324#14579120C2316yes—
325#14579120C2312yes—
326#14579120C2316yes—
327#14579120C2316yes—
328#14579120C2316yes—
329#14579119C2316yes—
330#14579119C2316yes—
331#14579119C2313yes—
332#14579119C2313yes—
333#14579118C2316yes—
334#14579117C23112yes—
335#14579117C2316yes—
336#14579117C23112yes—
337C2×C4⋊Dic79C2316yes—
338C2×C4⋊Dic79C2316yes—
339C2×C4⋊Dic79C2316yes—
340C2×C4⋊Dic79C2316yes—
341C2×C4⋊Dic79C2313yes—
342C2×Dic79⋊C4C2316yes—
343C2×Dic79⋊C4C2316yes—
344C4⋊C4×D79C2313yes—
345C4⋊C4×D79C2313yes—
346C2×C22⋊Dic79C2316yes—
347C2×C22⋊Dic79C2316yes—
348C2×C22⋊Dic79C23112yes—
349C2×C22⋊Dic79C2316yes—
350C2×(C2×D79)⋊C4C2316yes—
351C22⋊C4×D79C2316yes—
352C2×C4×Dic79C2313yes—
353C2×C4×Dic79C2313yes—
354C2×C4×Dic79C2313yes—
355C2×C4×Dic79C2316yes—
356C2×C4×Dic79C23112yes—
357C42×D79C2311yescharacteristic
358C42×D79C2313yes—
359C42×D79C2313yes—
360C42×D79C2313yes—
361C42×D79C2313yes—
362C42×D79C2313yes—
363C42×D79C2313yes—
364C42×D79C2313yes—
365C2×#41×C79—216no—
366C2×#41×C79C2316yes—
367C2×#41×C79C2312yes—
368C2×#41×C79C2316yes—
369C2×#41×C79C2311yescharacteristic
370C22×Q8×C79C2312yes—
371C22×D4×C79C2316yes—
372C22×D4×C79C2313yes—
373C23×C4×C79C2316yes—
374C4⋊Q8×C79C2313yes—
375#127×C79C2313yes—
376#124×C79C2316yes—
377#123×C79C23112yes—
378C22⋊Q8×C79C2316yes—
379C22⋊Q8×C79C2316yes—
380#121×C79C2316yes—
381#121×C79C2316yes—
382#121×C79C2316yes—
383#121×C79C2316yes—
384#120×C79C23112yes—
385C4×Q8×C79C2311yescharacteristic
386C4×Q8×C79C2311yescharacteristic
387C4×D4×C79C2313yes—
388C4×D4×C79C2313yes—
389C4×D4×C79C2311yescharacteristic
390C4×D4×C79C2316yes—
391C4×D4×C79C2313yes—
392C4×D4×C79C2316yes—
393C4×D4×C79C2313yes—
394C4×D4×C79C2313yes—
395C4×D4×C79C2316yes—
396#117×C79C2313yes—
397C2×C4⋊C4×C79C2313yes—
398C2×C22⋊C4×C79C2316yes—
399C2×C42×C79C2313yes—
400C23×D79C2413yes—
401#11929625—24no—
402#11929624—212no—
403#11929623—212no—
404#11929623—412no—
405#11929623—412no—
406C2×Dic158—46no—
407C2×Dic158C2413yes—
408C2×Dic158C2411yescharacteristic
409C2×Dic158C2413yes—
410C2×Dic158C2416yes—
411C2×Dic158C2416yes—
412Q8×D79—24no—
413C2×D316C2413yes—
414C2×C22⋊D79—412no—
415C2×C22⋊D79C2416yes—
416C2×C22⋊D79C2416yes—
417C2×C22⋊D79C2412yes—
418C2×C22⋊D79C24112yes—
419C2×C22⋊D79C2416yes—
420C2×C22⋊D79C2416yes—
421D4×D79—212no—
422C22×Dic79C2413yes—
423C22×Dic79C2416yes—
424C22×Dic79C24112yes—
425C22×Dic79C24112yes—
426C22×Dic79C2413yes—
427C22×Dic79C2413yes—
428C22×Dic79C2416yes—
429C2×C4×D79—212no—
430C2×C4×D79—46no—
431C2×C4×D79—46no—
432C2×C4×D79C2413yes—
433C2×C4×D79C2413yes—
434C2×C4×D79C2413yes—
435C2×C4×D79C2413yes—
436C2×C4×D79C2413yes—
437C2×C4×D79C2411yescharacteristic
438C2×C4×D79C2411yescharacteristic
439C2×C4×D79C2411yescharacteristic
440C2×C4×D79C2413yes—
441C2×C4×D79C2413yes—
442C2×C4×D79C2413yes—
443C2×C4×D79C2413yes—
444C4⋊Dic79C2413yes—
445C4⋊Dic79C2413yes—
446C4⋊Dic79C2416yes—
447C4⋊Dic79C2412yes—
448C4⋊Dic79C2416yes—
449C4⋊Dic79C2412yes—
450C4⋊Dic79C2411yescharacteristic
451C4⋊Dic79C2413yes—
452C4⋊Dic79C2416yes—
453C4⋊Dic79C2416yes—
454C4⋊Dic79C2416yes—
455C4⋊Dic79C2416yes—
456C4⋊Dic79C2416yes—
457C4⋊Dic79C2416yes—
458C4⋊Dic79C2416yes—
459C4⋊Dic79C2416yes—
460Dic79⋊C4C2416yes—
461Dic79⋊C4C2416yes—
462Dic79⋊C4C2412yes—
463Dic79⋊C4C2412yes—
464Dic79⋊C4C2416yes—
465Dic79⋊C4C2416yes—
466Dic79⋊C4C2416yes—
467Dic79⋊C4C2416yes—
468Dic79⋊C4C2416yes—
469Dic79⋊C4C2416yes—
470Dic79⋊C4C24112yes—
471Dic79⋊C4C24112yes—
472C22⋊Dic79C2416yes—
473C22⋊Dic79C2412yes—
474C22⋊Dic79C2416yes—
475C22⋊Dic79C2416yes—
476C22⋊Dic79C2412yes—
477C22⋊Dic79C2412yes—
478C22⋊Dic79C2416yes—
479C22⋊Dic79C24112yes—
480C22⋊Dic79C2416yes—
481C22⋊Dic79C2416yes—
482C22⋊Dic79C2416yes—
483C22⋊Dic79C2416yes—
484C22⋊Dic79C2416yes—
485C22⋊Dic79C2416yes—
486C22⋊Dic79C24112yes—
487(C2×D79)⋊C4C2416yes—
488(C2×D79)⋊C4C2416yes—
489(C2×D79)⋊C4C2412yes—
490(C2×D79)⋊C4C2416yes—
491(C2×D79)⋊C4C2416yes—
492(C2×D79)⋊C4C2416yes—
493(C2×D79)⋊C4C24112yes—
494C4×Dic79C2411yescharacteristic
495C4×Dic79C2411yescharacteristic
496C4×Dic79C2411yescharacteristic
497C4×Dic79C2413yes—
498C4×Dic79C2413yes—
499C4×Dic79C2413yes—
500C4×Dic79C2413yes—
501C4×Dic79C2413yes—
502C4×Dic79C2413yes—
503C4×Dic79C2413yes—
504C4×Dic79C2413yes—
505C4×Dic79C2413yes—
506C4×Dic79C2412yes—
507C4×Dic79C2416yes—
508C4×Dic79C24112yes—
509C4×Dic79C24112yes—
510C4×Dic79C2416yes—
511C4×Dic79C2416yes—
512C24×C79C2416yes—
513#41×C79—28no—
514#41×C79—224no—
515#41×C79—224no—
516#41×C79#4118yescomplemented
517C2×Q8×C79—28no—
518C2×Q8×C79C2416yes—
519C2×Q8×C79C2411yescharacteristic
520C2×D4×C79—224no—
521C2×D4×C79—46no—
522C2×D4×C79C2413yes—
523C2×D4×C79C2411yescharacteristic
524C2×D4×C79C24112yes—
525C2×D4×C79C2416yes—
526C2×D4×C79C2416yes—
527C2×D4×C79C2416yes—
528C2×D4×C79C2413yes—
529C22×C4×C79—224no—
530C22×C4×C79C2413yes—
531C22×C4×C79C2416yes—
532C22×C4×C79C2412yes—
533C22×C4×C79C2416yes—
534C22×C4×C79C2416yes—
535C22×C4×C79C2416yes—
536C22×C4×C79C2413yes—
537C22×C4×C79C2413yes—
538C4⋊C4×C79C2411yescharacteristic
539C4⋊C4×C79C2413yes—
540C4⋊C4×C79C2416yes—
541C4⋊C4×C79C2413yes—
542C4⋊C4×C79C2413yes—
543C4⋊C4×C79C2416yes—
544C22⋊C4×C79C2412yes—
545C22⋊C4×C79C2416yes—
546C22⋊C4×C79C2416yes—
547C22⋊C4×C79C2416yes—
548C22⋊C4×C79C2416yes—
549C22⋊C4×C79C24112yes—
550C42×C79C2411yescharacteristic
551C42×C79C2413yes—
552C42×C79C2413yes—
553C42×C79C2413yes—
554C23×C79—212no—
555C23×C79—46no—
556C23×C79—46no—
557C23×C79C2512yes—
558C23×C79C2516yes—
559C23×C79C2513yes—
560C22×D79—26no—
561C22×D79—26no—
562C22×D79—43no—
563C22×D79C2513yes—
564C22×D79C2511yescharacteristic
565Q8×C79—212no—
566Q8×C79C2×#4114yes—
567D4×C79—224no—
568D4×C79—212no—
569D4×C79—26no—
570D4×C79—22no—
571D4×C79—46no—
572D4×C79—46no—
573D4×C79C2×#41112yes—
574C2×C4×C79—212no—
575C2×C4×C79—24no—
576C2×C4×C79—212no—
577C2×C4×C79—212no—
578C2×C4×C79—212no—
579C2×C4×C79—26no—
580C2×C4×C79—43no—
581C2×C4×C79C2×#41112yes—
582C2×C4×C79C2516yes—
583C2×C4×C79C2511yescharacteristic
584C2×C4×C79C2513yes—
585C2×C4×C79C2513yes—
586C2×C4×C79C2512yes—
587C2×C4×C79C2513yes—
588C2×C4×C79C2511yescharacteristic
589C2×C4×C79C2511yescharacteristic
590C22⋊D79—212no—
591C22⋊D79—24no—
592C22⋊D79—212no—
593C22⋊D79—46no—
594C22⋊D79—46no—
595C22⋊D79—412no—
596C2×Dic79—26no—
597C2×Dic79—43no—
598C2×Dic79—43no—
599C2×Dic79—46no—
600C2×Dic79—46no—
601C2×Dic79—412no—
602C2×Dic79—412no—
603C2×Dic79C2513yes—
604C2×Dic79C2513yes—
605C2×Dic79C2511yescharacteristic
606C2×Dic79C2511yescharacteristic
607C2×Dic79C2511yescharacteristic
608C2×Dic79C2512yes—
609C2×Dic79C2516yes—
610C2×Dic79C2516yes—
611C2×Dic79C2513yes—
612C2×Dic79C2512yes—
613D316—26no—
614C4×D79—22no—
615C4×D79—26no—
616C4×D79—22no—
617C4×D79—26no—
618C4×D79—26no—
619C4×D79—26no—
620C4×D79—22no—
621C4×D79—26no—
622C4×D79—43no—
623C4×D79—43no—
624C4×D79—43no—
625C4×D79—43no—
626Dic158—26no—
627Dic158—22no—
628Dic158—26no—
629Dic158—46no—
630Dic158—46no—
631C22×C79—23no—
632C22×C79—23no—
633C22×C79—22no—
634C22×C79—26no—
635C22×C79—22no—
636C22×C79—26no—
637C22×C79—26no—
638C22×C79—22no—
639C22×C79—812no—
640C22×C79C22×#4116yes—
641C22×C79C2611yescharacteristic
642C2×D79—21no—
643C2×D79—21no—
644C2×D79—23no—
645C2×D79—23no—
646C2×D79—23no—
647C2×D79—412no—
648C2×D79#58512yes—
649C4×C79—22no—
650C4×C79—26no—
651C4×C79—23no—
652C4×C79—21no—
653C4×C79—23no—
654C4×C79C22×#4112yes—
655C4×C79C22×#4116yes—
656C4×C79#58512yes—
657Dic79—23no—
658Dic79—21no—
659Dic79—22no—
660Dic79—26no—
661Dic79—26no—
662Dic79—22no—
663Dic79—21no—
664Dic79—21no—
665Dic79—23no—
666Dic79—23no—
667#62816—791nomaximal, Sylow
668C2×C79—26no—
669C2×C79—46no—
670C2×C79—42no—
671C2×C79C23×#4111yescharacteristic
672C2×C79C2×#58511yescharacteristic
673C2×C79C2×#58511yescharacteristic
674D79—22no—
675D79—43no—
676#3524—792no—
677#3523—791no—
678#3522—791no—
679#3521—796no—
680#3520—793no—
681#3519—793no—
682#3518—791no—
683#3517—791no—
684#3516—792no—
685#3515—793no—
686#3514—793no—
687#3513—796no—
688#3480—793no—
689Q8×#41—791no—
690#3475—796no—
691#3475—793no—
692D4×#41—792no—
693D4×#41D7911yescharacteristic, complemented
694#3455—796no—
695#3444—793no—
696C2×#529—793no—
697#3428—792no—
698C2×C4×#41—791no—
699C79#6281611yescharacteristic, complemented, Sylow
700C22×#41—791no—
701C22×#41C2×D7912yes—
702#559—793no—
703#559—796no—
704Q82—791no—
705#557—793no—
706#557—792no—
707#557—791no—
708#556—793no—
709#556—796no—
710#556—796no—
711#556—793no—
712#555—796no—
713#555—793no—
714#554—796no—
715#554—793no—
716#554—793no—
717#554—796no—
718#553—7912no—
719#553—796no—
720#553—796no—
721#553—796no—
722#553—796no—
723#552—7912no—
724#552—796no—
725#552—796no—
726#552—796no—
727#552—796no—
728#551—7912no—
729#551—7912no—
730#551—7912no—
731#550—792no—
732#550—793no—
733#550C2×D7911yescharacteristic, complemented
734D4×Q8—792no—
735D4×Q8—793no—
736D4×Q8C2×D7911yescharacteristic, complemented
737#548—792no—
738#548—792no—
739#548—796no—
740#548C2×D7912yescomplemented
741#547—796no—
742#547—796no—
743#547—793no—
744#547C2×D7913yescomplemented
745#546—796no—
746#546—796no—
747#546—796no—
748#546—7912no—
749#546C2×D7916yescomplemented
750D42—796no—
751D42C2×D7913yescomplemented
752#542—796no—
753#542—796no—
754#542—796no—
755#542—796no—
756#541—796no—
757#541—796no—
758#540—796no—
759#540—796no—
760#539—7912no—
761#539—7912no—
762#538—7912no—
763#538—7912no—
764#533—793no—
765#533—793no—
766#533—796no—
767#533—793no—
768#532—796no—
769#532—793no—
770#532—793no—
771#532C2×D7913yescomplemented
772#529—796no—
773#529—796no—
774#529—796no—
775#529—796no—
776#529—791no—
777#529—793no—
778#529—796no—
779#529—796no—
780#529—793no—
781#529—793no—
782#529—796no—
783#529—793no—
784#529—793no—
785#529—793no—
786#529—793no—
787#529—796no—
788#529—796no—
789#529—7912no—
790#529—7912no—
791C2×#126—796no—
792C2×#125—793no—
793C2×#124—793no—
794#525—796no—
795#525—796no—
796#525—796no—
797#525—796no—
798#525C2×D7916yescomplemented
799C2×#123—796no—
800C2×C22⋊Q8—793no—
801C2×#121—793no—
802#520—796no—
803#520—792no—
804#520—796no—
805#520—792no—
806#519—792no—
807#519—792no—
808#518—796no—
809#518—796no—
810C4×#41—791no—
811C4×#41—796no—
812C4×#41—792no—
813C4×#41—796no—
814C4×#41—791no—
815C4×#41—791no—
816C4×#41—793no—
817C4×#41—793no—
818C4×#41—796no—
819C4×#41—796no—
820C4×#41—793no—
821C4×#41—793no—
822C4×#41C2×D7911yescharacteristic
823C2×C4×Q8—791no—
824C2×C4×Q8—791no—
825C2×C4×Q8—793no—
826C2×C4×D4—796no—
827C2×C4×D4—793no—
828C2×C4×D4—793no—
829C2×C4×D4C2×D7913yescomplemented
830C2×#117—796no—
831C2×#117—796no—
832C2×#117—793no—
833C22×C42—793no—
834C2×#41—216no—
835C2×#41—791no—
836C2×#41—796no—
837C2×#41—796no—
838C2×#41—793no—
839C2×#41—793no—
840C2×#41—1588no—
841C2×#41C22×D7916yes—
842C2×#41C22×D7916yes—
843C2×#41C22×D7912yes—
844C2×#41C22×D7911yescharacteristic
845C22×Q8—791no—
846C22×Q8—793no—
847C22×Q8C22×D7912yes—
848C22×D4—796no—
849C22×D4—793no—
850C22×D4C22×D7916yes—
851C22×D4C22×D7913yes—
852C23×C4—793no—
853C23×C4—793no—
854C23×C4—793no—
855C23×C4C22×D7916yes—
856C4⋊Q8—796no—
857C4⋊Q8—796no—
858C4⋊Q8—796no—
859C4⋊Q8—793no—
860C4⋊Q8—793no—
861C4⋊Q8C22×D7913yes—
862#127—796no—
863#127C22×D7913yes—
864#126—7912no—
865#126—7912no—
866#126—792no—
867#126—796no—
868#126—796no—
869#126—796no—
870#126—796no—
871#126—796no—
872#126—796no—
873#126—796no—
874#126—7912no—
875#126—7912no—
876#126—7912no—
877#125—791no—
878#125—793no—
879#125—796no—
880#125—796no—
881#125—793no—
882#125—793no—
883#125—796no—
884#125—7912no—
885#125—7912no—
886#125—796no—
887#125—796no—
888#125—796no—
889#124—796no—
890#124—791no—
891#124—793no—
892#124—796no—
893#124—793no—
894#124—793no—
895#124—796no—
896#124—796no—
897#124—796no—
898#124—7912no—
899#124—7912no—
900#124C22×D7916yes—
901#123—7912no—
902#123—7912no—
903#123—7912no—
904#123—7912no—
905#123—792no—
906#123—796no—
907#123—796no—
908#123—796no—
909#123—796no—
910#123—796no—
911#123—796no—
912#123—796no—
913#123—7912no—
914#123—7912no—
915#123—7912no—
916#123C22×D79112yes—
917C22⋊Q8—796no—
918C22⋊Q8—796no—
919C22⋊Q8—796no—
920C22⋊Q8—796no—
921C22⋊Q8—796no—
922C22⋊Q8—796no—
923C22⋊Q8—791no—
924C22⋊Q8—793no—
925C22⋊Q8—796no—
926C22⋊Q8—793no—
927C22⋊Q8—793no—
928C22⋊Q8—796no—
929C22⋊Q8—796no—
930C22⋊Q8—7912no—
931C22⋊Q8—7912no—
932C22⋊Q8—7912no—
933C22⋊Q8—7912no—
934C22⋊Q8C22×D7916yes—
935C22⋊Q8C22×D7916yes—
936#121—791no—
937#121—793no—
938#121—796no—
939#121—796no—
940#121—793no—
941#121—793no—
942#121—796no—
943#121—796no—
944#121—796no—
945#121—7912no—
946#121—7912no—
947#121—7912no—
948#121—7912no—
949#121—796no—
950#121—796no—
951#121C22×D7916yes—
952#121C22×D7916yes—
953#121C22×D7916yes—
954#121C22×D7916yes—
955#120—7912no—
956#120—7912no—
957#120C22×D79112yes—
958C4×Q8—791no—
959C4×Q8—791no—
960C4×Q8—796no—
961C4×Q8—796no—
962C4×Q8—792no—
963C4×Q8—792no—
964C4×Q8—796no—
965C4×Q8—796no—
966C4×Q8—793no—
967C4×Q8—793no—
968C4×Q8—796no—
969C4×Q8—796no—
970C4×Q8—791no—
971C4×Q8—793no—
972C4×Q8—793no—
973C4×Q8—793no—
974C4×Q8—796no—
975C4×Q8—793no—
976C4×Q8—793no—
977C4×Q8—796no—
978C4×Q8—796no—
979C4×Q8C22×D7911yescharacteristic
980C4×Q8C22×D7911yescharacteristic
981C4×D4—793no—
982C4×D4—793no—
983C4×D4—7912no—
984C4×D4—7912no—
985C4×D4—796no—
986C4×D4—796no—
987C4×D4—796no—
988C4×D4—796no—
989C4×D4—7912no—
990C4×D4—796no—
991C4×D4—7912no—
992C4×D4—796no—
993C4×D4—796no—
994C4×D4—796no—
995C4×D4—792no—
996C4×D4—796no—
997C4×D4—796no—
998C4×D4—796no—
999C4×D4—796no—
1000C4×D4—796no—
1001C4×D4—796no—
1002C4×D4—796no—
1003C4×D4—796no—
1004C4×D4—796no—
1005C4×D4—7912no—
1006C4×D4—793no—
1007C4×D4—793no—
1008C4×D4—796no—
1009C4×D4—796no—
1010C4×D4—7912no—
1011C4×D4—7912no—
1012C4×D4—793no—
1013C4×D4—793no—
1014C4×D4C22×D7913yes—
1015C4×D4C22×D7913yes—
1016C4×D4C22×D7911yescharacteristic
1017C4×D4C22×D7913yes—
1018C4×D4C22×D7916yes—
1019C4×D4C22×D7913yes—
1020C4×D4C22×D7916yes—
1021C4×D4C22×D7913yes—
1022C4×D4C22×D7916yes—
1023#117—793no—
1024#117—792no—
1025#117—796no—
1026#117—796no—
1027#117—796no—
1028#117—796no—
1029#117—796no—
1030#117—796no—
1031#117—796no—
1032#117—796no—
1033#117—796no—
1034#117—796no—
1035#117—7912no—
1036#117—793no—
1037#117—793no—
1038#117—796no—
1039#117—796no—
1040#117—796no—
1041#117—7912no—
1042#117—7912no—
1043#117—796no—
1044#117C22×D7913yes—
1045C2×C4⋊C4—796no—
1046C2×C4⋊C4—796no—
1047C2×C4⋊C4—796no—
1048C2×C4⋊C4—796no—
1049C2×C4⋊C4—796no—
1050C2×C4⋊C4—793no—
1051C2×C4⋊C4—796no—
1052C2×C4⋊C4—793no—
1053C2×C4⋊C4—793no—
1054C2×C4⋊C4C22×D7913yes—
1055C2×C22⋊C4—796no—
1056C2×C22⋊C4—796no—
1057C2×C22⋊C4—7912no—
1058C2×C22⋊C4—796no—
1059C2×C22⋊C4—796no—
1060C2×C22⋊C4—796no—
1061C2×C22⋊C4C22×D7916yes—
1062C2×C42—793no—
1063C2×C42—796no—
1064C2×C42—7912no—
1065C2×C42—793no—
1066C2×C42—793no—
1067C2×C42—793no—
1068C2×C42—793no—
1069C2×C42—793no—
1070C2×C42—793no—
1071C2×C42—793no—
1072C2×C42—793no—
1073C2×C42—793no—
1074C2×C42—791no—
1075C2×C42C22×D7913yes—
1076C24—793no—
1077C24C23×D7916yes—
1078#41—28no—
1079#41—224no—
1080#41—224no—
1081#41—31612no—
1082#41—31612no—
1083#41—1584no—
1084#41—15812no—
1085#41—15812no—
1086#41#1192962318yescomplemented
1087C2×Q8—28no—
1088C2×Q8—3166no—
1089C2×Q8—796no—
1090C2×Q8—796no—
1091C2×Q8—791no—
1092C2×Q8—793no—
1093C2×Q8—793no—
1094C2×Q8—1584no—
1095C2×Q8C23×D7916yes—
1096C2×Q8C23×D7911yescharacteristic
1097C2×D4—224no—
1098C2×D4—46no—
1099C2×D4—31612no—
1100C2×D4—796no—
1101C2×D4—7912no—
1102C2×D4—796no—
1103C2×D4—796no—
1104C2×D4—796no—
1105C2×D4—792no—
1106C2×D4—793no—
1107C2×D4—15812no—
1108C2×D4C23×D79112yes—
1109C2×D4C23×D7916yes—
1110C2×D4C23×D7913yes—
1111C2×D4C23×D7911yescharacteristic
1112C2×D4C23×D7916yes—
1113C2×D4C23×D7916yes—
1114C2×D4C23×D7913yes—
1115C22×C4—224no—
1116C22×C4—3166no—
1117C22×C4—3166no—
1118C22×C4—793no—
1119C22×C4—793no—
1120C22×C4—796no—
1121C22×C4—796no—
1122C22×C4—7912no—
1123C22×C4—7912no—
1124C22×C4—793no—
1125C22×C4—793no—
1126C22×C4—793no—
1127C22×C4—793no—
1128C22×C4—793no—
1129C22×C4—791no—
1130C22×C4—791no—
1131C22×C4—793no—
1132C22×C4—793no—
1133C22×C4—793no—
1134C22×C4—793no—
1135C22×C4—791no—
1136C22×C4—793no—
1137C22×C4—15812no—
1138C22×C4C23×D7913yes—
1139C22×C4C23×D7916yes—
1140C22×C4C23×D7916yes—
1141C22×C4C23×D7916yes—
1142C22×C4C23×D7916yes—
1143C22×C4C23×D7912yes—
1144C22×C4C23×D7913yes—
1145C22×C4C23×D7913yes—
1146C4⋊C4—792no—
1147C4⋊C4—792no—
1148C4⋊C4—796no—
1149C4⋊C4—796no—
1150C4⋊C4—796no—
1151C4⋊C4—796no—
1152C4⋊C4—796no—
1153C4⋊C4—796no—
1154C4⋊C4—796no—
1155C4⋊C4—796no—
1156C4⋊C4—7912no—
1157C4⋊C4—7912no—
1158C4⋊C4—793no—
1159C4⋊C4—793no—
1160C4⋊C4—792no—
1161C4⋊C4—796no—
1162C4⋊C4—796no—
1163C4⋊C4—792no—
1164C4⋊C4—791no—
1165C4⋊C4—793no—
1166C4⋊C4—796no—
1167C4⋊C4—796no—
1168C4⋊C4—796no—
1169C4⋊C4—796no—
1170C4⋊C4—796no—
1171C4⋊C4—796no—
1172C4⋊C4—796no—
1173C4⋊C4—796no—
1174C4⋊C4C23×D7913yes—
1175C4⋊C4C23×D7913yes—
1176C4⋊C4C23×D7911yescharacteristic
1177C4⋊C4C23×D7913yes—
1178C4⋊C4C23×D7916yes—
1179C4⋊C4C23×D7916yes—
1180C22⋊C4—796no—
1181C22⋊C4—792no—
1182C22⋊C4—796no—
1183C22⋊C4—796no—
1184C22⋊C4—792no—
1185C22⋊C4—792no—
1186C22⋊C4—7912no—
1187C22⋊C4—796no—
1188C22⋊C4—796no—
1189C22⋊C4—796no—
1190C22⋊C4—796no—
1191C22⋊C4—796no—
1192C22⋊C4—796no—
1193C22⋊C4—796no—
1194C22⋊C4—7912no—
1195C22⋊C4—792no—
1196C22⋊C4—796no—
1197C22⋊C4—796no—
1198C22⋊C4—796no—
1199C22⋊C4—796no—
1200C22⋊C4—796no—
1201C22⋊C4—7912no—
1202C22⋊C4C23×D7916yes—
1203C22⋊C4C23×D7912yes—
1204C22⋊C4C23×D7916yes—
1205C22⋊C4C23×D7916yes—
1206C22⋊C4C23×D7916yes—
1207C22⋊C4C23×D79112yes—
1208C42—791no—
1209C42—791no—
1210C42—793no—
1211C42—793no—
1212C42—793no—
1213C42—793no—
1214C42—793no—
1215C42—793no—
1216C42—793no—
1217C42—793no—
1218C42—7912no—
1219C42—7912no—
1220C42—796no—
1221C42—796no—
1222C42—791no—
1223C42—793no—
1224C42—792no—
1225C42—796no—
1226C42C23×D7913yes—
1227C42C23×D7913yes—
1228C42C23×D7911yescharacteristic
1229C42C23×D7913yes—
1230C23—212no—
1231C23—46no—
1232C23—46no—
1233C23—3163no—
1234C23—791no—
1235C23—793no—
1236C23—1586no—
1237C23—1586no—
1238C23C24×D7912yes—
1239C23C24×D7916yes—
1240C23C24×D7913yes—
1241Q8—212no—
1242Q8—3166no—
1243Q8—3166no—
1244Q8—1582no—
1245Q8—1586no—
1246Q8—1586no—
1247Q8C2×#1192962314yes—
1248D4—224no—
1249D4—22no—
1250D4—26no—
1251D4—212no—
1252D4—46no—
1253D4—46no—
1254D4—3166no—
1255D4—3166no—
1256D4—31612no—
1257D4—1584no—
1258D4—15812no—
1259D4—15812no—
1260D4—1586no—
1261D4C2×#11929623112yes—
1262C2×C4—212no—
1263C2×C4—26no—
1264C2×C4—24no—
1265C2×C4—212no—
1266C2×C4—212no—
1267C2×C4—212no—
1268C2×C4—43no—
1269C2×C4—3163no—
1270C2×C4—3163no—
1271C2×C4—3163no—
1272C2×C4—3163no—
1273C2×C4—3163no—
1274C2×C4—3163no—
1275C2×C4—3166no—
1276C2×C4—3166no—
1277C2×C4—31612no—
1278C2×C4—31612no—
1279C2×C4—791no—
1280C2×C4—791no—
1281C2×C4—793no—
1282C2×C4—791no—
1283C2×C4—793no—
1284C2×C4—792no—
1285C2×C4—793no—
1286C2×C4—796no—
1287C2×C4—796no—
1288C2×C4—792no—
1289C2×C4—1582no—
1290C2×C4—1586no—
1291C2×C4—1586no—
1292C2×C4—1582no—
1293C2×C4—1586no—
1294C2×C4—1582no—
1295C2×C4—1586no—
1296C2×C4—1586no—
1297C2×C4—1586no—
1298C2×C4C2×#11929623112yes—
1299C2×C4C24×D7911yescharacteristic
1300C2×C4C24×D7916yes—
1301C2×C4C24×D7913yes—
1302C2×C4C24×D7913yes—
1303C2×C4C24×D7912yes—
1304C2×C4C24×D7911yescharacteristic
1305C2×C4C24×D7913yes—
1306C2×C4C24×D7911yescharacteristic
1307C22—23no—
1308C22—23no—
1309C22—22no—
1310C22—26no—
1311C22—26no—
1312C22—22no—
1313C22—26no—
1314C22—22no—
1315C22—812no—
1316C22—31612no—
1317C22—792no—
1318C22—1583no—
1319C22—1583no—
1320C22—1583no—
1321C22—1581no—
1322C22—1581no—
1323C22C22×#1192962316yes—
1324C22C25×D7911yescharacteristic
1325C4—22no—
1326C4—26no—
1327C4—21no—
1328C4—23no—
1329C4—23no—
1330C4—1581no—
1331C4—1583no—
1332C4—1581no—
1333C4—1583no—
1334C4—1582no—
1335C4—1586no—
1336C4—1581no—
1337C4—1583no—
1338C4—1586no—
1339C4—1582no—
1340C4C22×#1192962312yes—
1341C4C22×#1192962316yes—
1342C4#1909939912yes—
1343C2—26no—
1344C2—42no—
1345C2—46no—
1346C2—3163no—
1347C2—1582no—
1348C2C23×#1192962311yescharacteristic
1349C2#585×D7911yescharacteristic
1350C2C2×#1909939911yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingD4×#41×C79C2
hypercenterD4×#41D79
hypocenterC79#62816
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #23777502C2semidirect
2. #23777491C2semidirect
3. #23777480C2semidirect
4. #23777457C2semidirect
5. #23777440C2semidirect
6. #23777423C2semidirect
7. #23777412C2semidirect
8. #23777401C2semidirect
9. #23777386C2semidirect
10. #23777369C2semidirect
11. #23777352C2semidirect
12. #23777329C2semidirect
13. #23776997C2semidirect
14. #41×Dic158C2semidirect
15. #23776960C2semidirect
16. #23776958C2semidirect
17. #41×C22⋊D79C2semidirect
18. #23776788C2semidirect
19. #23776695C2semidirect
20. C2×#19099095C2semidirect
21. #23776603C2semidirect
22. C4×#41×D79C2semidirect
23. D4×#41×C79C2semidirect
25. #19099299C22semidirect
26. #19099295C22semidirect
27. Q8×Dic158C22semidirect
28. #19099292C22semidirect
29. #19099289C22semidirect
30. #19099288C22semidirect
31. #19099287C22semidirect
32. #19099284C22semidirect
33. #19099283C22semidirect
34. #19099282C22semidirect
35. #19099278C22semidirect
36. #19099277C22semidirect
37. #19099272C22semidirect
38. #19099271C22semidirect
39. #19099270C22semidirect
40. #19099270C22semidirect
41. #19099265C22semidirect
42. #19099265C22semidirect
43. #19099260C22semidirect
44. #19099259C22semidirect
45. #19099256C22semidirect
46. #19099255C22semidirect
47. #19099253C22semidirect
48. #19099250C22semidirect
49. #19099248C22semidirect
50. #19099247C22semidirect
51. #19099244C22semidirect
52. #19099239C22semidirect
53. #19099236C22semidirect
54. #19099233C22semidirect
55. #19099232C22semidirect
56. D4×Dic158C22semidirect
57. Q8×C22⋊D79C22semidirect
58. #19099224C22semidirect
59. #19099220C22semidirect
60. #19099219C22semidirect
61. #19099217C22semidirect
62. #19099213C22semidirect
63. #19099212C22semidirect
64. #19099207C22semidirect
65. #19099207C22semidirect
66. #19099201C22semidirect
67. #19099200C22semidirect
68. D4×C22⋊D79C22semidirect
69. #19099186C22semidirect
70. #19099186C22semidirect
71. #19099180C22semidirect
72. #19099180C22semidirect
73. #19099173C22semidirect
74. #19099173C22semidirect
75. #19099166C22semidirect
76. #19099166C22semidirect
77. #19099157C22semidirect
78. #19099157C22semidirect
79. #19099148C22semidirect
80. #19099148C22semidirect
81. #19099120C22semidirect
82. #19099118C22semidirect
83. #19099118C22semidirect
84. #19099116C22semidirect
85. #19099111C22semidirect
86. #19099111C22semidirect
87. #19099109C22semidirect
90. #19099095C22semidirect
91. #19099095C22semidirect
92. #19099095C22semidirect
93. #19099095C22semidirect
94. #19099095C22semidirect
95. #19099095C22semidirect
96. #19099095C22semidirect
97. #19099095C22semidirect
98. #19099095C22semidirect
99. #19099095C22semidirect
100. #19099095C22semidirect
101. #19099094C22semidirect
102. #19099094C22semidirect
103. #19099093C22semidirect
104. #19099093C22semidirect
105. #19099092C22semidirect
106. #19099092C22semidirect
107. C2×#14579154C22semidirect
108. C2×#14579152C22semidirect
109. C2×#14579148C22semidirect
110. #19099074C22semidirect
111. #19099073C22semidirect
112. #19099073C22semidirect
113. #19099070C22semidirect
114. C2×#14579143C22semidirect
115. C2×#14579141C22semidirect
117. #19099046C22semidirect
118. #19099046C22semidirect
119. #19099046C22semidirect
120. #19099046C22semidirect
121. #19099041C22semidirect
122. #19099041C22semidirect
123. #19099038C22semidirect
124. #19099038C22semidirect
127. #41×Dic79C22semidirect
128. #41×Dic79C22semidirect
129. C4×#11929625C22semidirect
130. C4×#11929625C22semidirect
131. C4×#11929624C22semidirect
132. #19099031C22semidirect
133. C4×#11929623C22semidirect
134. C4×#11929623C22semidirect
135. C4×#11929623C22semidirect
136. C4×#11929623C22semidirect
137. C2×C4×Dic158C22semidirect
138. C4×Q8×D79C22semidirect
139. C4×Q8×D79C22semidirect
140. C2×C4×C22⋊D79C22semidirect
141. C4×D4×D79C22semidirect
142. C4×D4×D79C22semidirect
143. C2×#14579120C22semidirect
144. C2×#14579120C22semidirect
145. #117×D79C22semidirect
146. C2×C42×D79C22semidirect
148. #550×C79C22semidirect
149. D4×Q8×C79C22semidirect
150. #548×C79C22semidirect
151. #547×C79C22semidirect
152. #546×C79C22semidirect
153. D42×C79C22semidirect
154. #532×C79C22semidirect
155. #525×C79C22semidirect
157. C2×C4×D4×C79C22semidirect
516. #41×C79#41semidirect
693. D4×#41D79semidirect
699. C79#62816semidirect
733. #550C2×D79semidirect
736. D4×Q8C2×D79semidirect
740. #548C2×D79semidirect
744. #547C2×D79semidirect
749. #546C2×D79semidirect
751. D42C2×D79semidirect
771. #532C2×D79semidirect
798. #525C2×D79semidirect
829. C2×C4×D4C2×D79semidirect
1086. #41#11929623semidirect

Maximal subgroups

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

subgroupindex
#237775022
#237774912
#237774802
#237774572
#237774402
#237774232
#237774122
#237774012
#237773862
#237773692
#237773522
#237773292
#237769972
#41×Dic1582
#237769602
#237769582
#41×C22⋊D792
#237767882
#237766952
C2×#190990952
#237766032
C4×#41×D792
D4×#41×C792
#6281679