Finite Group Databasebeta

← #35196880

Subgroups — #35196880

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#23777509C212yesmaximal, complemented
2#23777496C211yesmaximal, characteristic, complemented
3#23777485C211yesmaximal, characteristic, complemented
4#23777468C216yesmaximal, complemented
5#23777449C213yesmaximal, complemented
6#23777432C213yesmaximal, complemented
7#23777417C211yesmaximal, characteristic, complemented
8#23777406C211yesmaximal, characteristic, complemented
9#23777393C212yesmaximal, complemented
10#23777378C213yesmaximal, complemented
11#23777361C213yesmaximal, complemented
12#23777340C216yesmaximal, complemented
13#23776993C213yesmaximal, complemented
14#41×Dic158C211yesmaximal, characteristic, complemented
15#23776964C213yesmaximal, complemented
16#23776954C216yesmaximal, complemented
17#41×D316C211yesmaximal, characteristic, complemented
18#41×C22⋊D79C212yesmaximal, complemented
19#23776785C216yesmaximal, complemented
20#23776696C213yesmaximal, complemented
21C2×#19099097C213yesmaximal, complemented
22#23776599C212yesmaximal, complemented
23C2×C4×#41×C79C211yesmaximal, characteristic, complemented
24C2×#41×D79C2212yes—
25#19099298C2213yescomplemented
26#19099296C2216yescomplemented
27Q8×Dic158C2211yescharacteristic, complemented
28#19099292C2211yescharacteristic, complemented
29#19099291C2213yescomplemented
30#19099289C2212yescomplemented
31#19099286C2213yescomplemented
32#19099285C2216yescomplemented
33#19099283C2213yescomplemented
34#19099281C2216yescomplemented
35#19099278C2213yescomplemented
36#19099276C2216yescomplemented
37#19099273C2213yescomplemented
38#19099272C2216yescomplemented
39#19099270C2213yescomplemented
40#19099268C2216yescomplemented
41#19099263C2216yescomplemented
42#19099262C22112yescomplemented
43#19099261C2216yescomplemented
44#19099259C2216yescomplemented
45#19099257C2216yescomplemented
46#19099254C2216yescomplemented
47#19099253C2216yescomplemented
48#19099252C2216yescomplemented
49#19099248C2216yescomplemented
50#19099246C22112yescomplemented
51#19099242C22112yescomplemented
52#19099239C22112yescomplemented
53#19099237C22112yescomplemented
54#19099235C2211yescharacteristic, complemented
55#19099234C2213yescomplemented
56#19099232C2212yescomplemented
57Q8×D316C2211yescharacteristic, complemented
58D4×Dic158C2213yescomplemented
59Q8×C22⋊D79C2212yescomplemented
60#19099225C2212yescomplemented
61#19099224C2212yescomplemented
62#19099222C2216yescomplemented
63#19099220C2212yescomplemented
64#19099218C2213yescomplemented
65#19099217C2213yescomplemented
66#19099214C2216yescomplemented
67#19099212C2216yescomplemented
68#19099209C2216yescomplemented
69#19099208C2216yescomplemented
70#19099207C2216yescomplemented
71#19099203C22112yescomplemented
72#19099201C2216yescomplemented
73D4×D316C2213yescomplemented
74D4×C22⋊D79C2216yescomplemented
75#19099185C2216yescomplemented
76#19099185C2216yescomplemented
77#19099178C2216yescomplemented
78#19099178C2216yescomplemented
79#19099171C2216yescomplemented
80#19099171C2216yescomplemented
81#19099164C2216yescomplemented
82#19099164C2216yescomplemented
83#19099155C22112yescomplemented
84#19099155C22112yescomplemented
85#19099146C22112yescomplemented
86#19099146C22112yescomplemented
87#19099120C2213yescomplemented
88#19099120C2213yescomplemented
89#19099120C2213yescomplemented
90#19099116C2216yescomplemented
91#19099113C2213yescomplemented
92#19099113C2213yescomplemented
93#19099113C2213yescomplemented
94#19099109C2216yescomplemented
95#19099097C2213yes—
96#19099097C2211yescharacteristic
97#19099097C2216yescomplemented
98#19099097C2216yescomplemented
99#19099097C2216yescomplemented
100#19099097C2216yescomplemented
101#19099097C2216yescomplemented
102#19099097C2213yescomplemented
103#19099097C2213yescomplemented
104#19099097C2213yescomplemented
105#19099097C2213yescomplemented
106#19099097C2216yescomplemented
107#19099097C2216yescomplemented
108#19099097C2213yescomplemented
109#19099097C2213yescomplemented
110#19099097C2216yescomplemented
111#19099097C2216yescomplemented
112#19099091C22112yescomplemented
113#19099091C22112yescomplemented
114C2×#14579155C2216yescomplemented
115C2×#14579153C2213yescomplemented
116C2×#14579149C2213yescomplemented
117#19099075C2216yescomplemented
118#19099074C2216yescomplemented
119#19099074C2216yescomplemented
120#19099074C2216yescomplemented
121#19099070C2216yescomplemented
122C2×#14579144C2216yescomplemented
123C2×#14579140C2213yescomplemented
124C2×#14579135C2213yes—
125#19099045C2212yescomplemented
126#19099045C2212yescomplemented
127#19099042C2216yescomplemented
128#19099042C2216yescomplemented
129#19099039C2212yescomplemented
130#19099039C2212yescomplemented
131#19099035C2216yescomplemented
132#19099035C2216yescomplemented
133#41×Dic79C2212yes—
134C4×#11929624C2216yescomplemented
135C4×#11929624C2216yescomplemented
136C4×#11929624C2216yescomplemented
137#19099031C2216yescomplemented
138C2×C4×Dic158C2213yescomplemented
139C2×C4×D316C2213yescomplemented
140C2×C4×C22⋊D79C2216yescomplemented
141C2×#14579118C2216yescomplemented
142#117×D79C2216yescomplemented
143C22×#41×C79C2211yescharacteristic
144C4×#41×C79C2211yescharacteristic
145C4×#41×C79C2211yescharacteristic
146C4×#41×C79C2213yescomplemented
147C4×#41×C79C2213yescomplemented
148C4×#41×C79C2211yescharacteristic, complemented
149C4×#41×C79C2213yescomplemented
150C4×#41×C79C2213yescomplemented
151C4×#41×C79C2211yescharacteristic, complemented
152C2×C4×Q8×C79C2211yescharacteristic, complemented
153C2×C4×Q8×C79C2211yescharacteristic, complemented
154C2×C4×D4×C79C2213yescomplemented
155C2×C4×D4×C79C2213yescomplemented
156C2×#117×C79C2213yescomplemented
157C22×C42×C79C2213yescomplemented
158C2×#11929625C2312yes—
159C2×#11929624C2316yes—
160C2×#11929624C2316yes—
161C2×#11929624C2316yes—
162C2×#11929623C2316yes—
163#41×D79—216no—
164C22×Dic158C2313yes—
165C2×Q8×D79C2312yes—
166C22×D316C2313yes—
167C22×C22⋊D79C2316yes—
168C2×D4×D79C2316yes—
169C22×C4×D79C2316yes—
170#14579161C2313yes—
171#14579161C2313yes—
172#14579161C2313yes—
173#14579160C2316yes—
174#14579160C2316yes—
175#14579159C2316yes—
176#14579158C2313yes—
177#14579157C2316yes—
178#14579156C23112yes—
179#14579156C23112yes—
180#14579155C2316yes—
181#14579155C23112yes—
182#14579155C2316yes—
183#14579155C2316yes—
184#14579155C2316yes—
185#14579155C2316yes—
186#14579155C2316yes—
187#14579155C2312yes—
188#14579155C2316yes—
189#14579154C23112yes—
190#14579154C23112yes—
191#14579153C2316yes—
192#14579153C2316yes—
193#14579153C2316yes—
194#14579153C2313yes—
195#14579153C2316yes—
196#14579153C2313yes—
197#14579153C2311yescharacteristic
198#14579153C2313yes—
199#14579152C2316yes—
200#14579152C2316yes—
201#14579151C23112yes—
202#14579151C23112yes—
203#14579150C2316yes—
204#14579149C2316yes—
205#14579149C2316yes—
206#14579149C2316yes—
207#14579149C2313yes—
208#14579149C2313yes—
209#14579149C2316yes—
210#14579149C2311yescharacteristic
211#14579149C2313yes—
212#14579148C2316yes—
213#14579147C23112yes—
214#14579147C23112yes—
215#14579146C23112yes—
216#14579146C23112yes—
217#14579145C23112yes—
218#14579144C2316yes—
219#14579144C23112yes—
220#14579144C2316yes—
221#14579144C23112yes—
222#14579144C2316yes—
223#14579144C2316yes—
224#14579144C2316yes—
225#14579144C2316yes—
226#14579144C2312yes—
227#14579144C2316yes—
228#14579143C23112yes—
229#14579143C23112yes—
230#14579142C23112yes—
231#14579141C2316yes—
232#14579141C2316yes—
233#14579140C2316yes—
234#14579140C2316yes—
235#14579140C2316yes—
236#14579140C2316yes—
237#14579140C2316yes—
238#14579140C2313yes—
239#14579140C2313yes—
240#14579140C2316yes—
241#14579140C2316yes—
242#14579140C2311yescharacteristic
243#14579140C2313yes—
244#14579139C23112yes—
245#14579139C23112yes—
246#14579138C23112yes—
247#14579138C23112yes—
248#14579137C2316yes—
249#14579137C2316yes—
250#14579136C2316yes—
251#14579136C2316yes—
252#14579135C2316yes—
253#14579135C2316yes—
254#14579135C2316yes—
255#14579135C2316yes—
256#14579135C2316yes—
257#14579135C2316yes—
258#14579135C2316yes—
259#14579135C2313yes—
260#14579135C2313yes—
261#14579135C2311yescharacteristic
262#14579135C2313yes—
263#14579134C23112yes—
264#14579134C23112yes—
265#14579133C23112yes—
266#14579133C23112yes—
267#14579132C2316yes—
268#14579132C2316yes—
269#14579131C23112yes—
270#14579130C23112yes—
271#14579129C23112yes—
272Q8×Dic79C2312yes—
273Q8×Dic79C2312yes—
274C4×Dic158C2316yes—
275C4×Dic158C2316yes—
276C4×Dic158C2316yes—
277C4×Dic158C2313yes—
278C4×Dic158C2313yes—
279C4×Dic158C2316yes—
280C4×Dic158C2316yes—
281C4×Dic158C2311yescharacteristic
282C4×Dic158C2313yes—
283C4×Dic158C2316yes—
284C4×Dic158C2316yes—
285#14579126C2316yes—
286#14579126C2316yes—
287C4×D316C2316yes—
288C4×D316C2316yes—
289C4×D316C2313yes—
290C4×D316C2316yes—
291C4×D316C2316yes—
292C4×D316C2313yes—
293C4×D316C2316yes—
294C4×D316C2311yescharacteristic
295C4×D316C2313yes—
296C4×D316C2316yes—
297C4×D316C2316yes—
298D4×Dic79C2316yes—
299D4×Dic79C2316yes—
300#14579123C2316yes—
301#14579123C2316yes—
302C4×C22⋊D79C23112yes—
303C4×C22⋊D79C23112yes—
304C4×C22⋊D79C2316yes—
305C4×C22⋊D79C2316yes—
306C4×C22⋊D79C23112yes—
307C4×C22⋊D79C2316yes—
308C4×C22⋊D79C2316yes—
309C4×C22⋊D79C23112yes—
310C4×C22⋊D79C2312yes—
311C4×C22⋊D79C2316yes—
312C4×C22⋊D79C2316yes—
313C4×C22⋊D79C2316yes—
314C4×C22⋊D79C23112yes—
315(C22⋊D79)⋊C4C23112yes—
316(C22⋊D79)⋊C4C23112yes—
317#14579120C2316yes—
318#14579120C2316yes—
319#14579120C2316yes—
320#14579119C2316yes—
321#14579119C2316yes—
322#14579118C2316yes—
323#14579118C2316yes—
324#14579118C2316yes—
325#14579118C2316yes—
326#14579118C23112yes—
327#14579118C23112yes—
328#14579118C2316yes—
329#14579118C2312yes—
330#14579118C2316yes—
331#14579118C2316yes—
332#14579117C23112yes—
333C2×C4⋊Dic79C2313yes—
334C2×C4⋊Dic79C2313yes—
335C2×Dic79⋊C4C2316yes—
336C2×Dic79⋊C4C2316yes—
337C2×Dic79⋊C4C2316yes—
338C2×Dic79⋊C4C2316yes—
339C4⋊C4×D79C2316yes—
340C4⋊C4×D79C2316yes—
341C2×C22⋊Dic79C2316yes—
342C2×(C2×D79)⋊C4C2316yes—
343C2×(C2×D79)⋊C4C2316yes—
344C2×(C2×D79)⋊C4C2316yes—
345C2×(C2×D79)⋊C4C2316yes—
346C22⋊C4×D79C23112yes—
347C2×C4×Dic79C2316yes—
348C42×D79C23112yes—
349C2×#41×C79—28no—
350C2×#41×C79C2313yes—
351C2×#41×C79C2311yescharacteristic
352C2×#41×C79C2313yes—
353C2×#41×C79C2311yescharacteristic
354C22×Q8×C79C2311yescharacteristic
355C22×D4×C79C2313yes—
356C23×C4×C79C2313yes—
357C23×C4×C79C2313yes—
358C23×C4×C79C2313yes—
359C4×Q8×C79C2313yes—
360C4×Q8×C79C2313yes—
361C4×Q8×C79C2311yescharacteristic
362C4×Q8×C79C2311yescharacteristic
363C4×Q8×C79C2311yescharacteristic
364C4×Q8×C79C2311yescharacteristic
365C4×Q8×C79C2313yes—
366C4×Q8×C79C2313yes—
367C4×D4×C79C2316yes—
368C4×D4×C79C2316yes—
369C4×D4×C79C2313yes—
370C4×D4×C79C2313yes—
371C4×D4×C79C2313yes—
372C4×D4×C79C2313yes—
373C4×D4×C79C2316yes—
374C4×D4×C79C2313yes—
375C4×D4×C79C2313yes—
376C4×D4×C79C2313yes—
377C4×D4×C79C2316yes—
378C4×D4×C79C2313yes—
379#117×C79C2313yes—
380#117×C79C2313yes—
381#117×C79C2316yes—
382#117×C79C2313yes—
383#117×C79C2313yes—
384#117×C79C2316yes—
385C2×C4⋊C4×C79C2313yes—
386C2×C4⋊C4×C79C2313yes—
387C2×C22⋊C4×C79C2316yes—
388C2×C42×C79C2311yescharacteristic
389C2×C42×C79C2313yes—
390C2×C42×C79C2313yes—
391C2×C42×C79C2313yes—
392C2×C42×C79C2313yes—
393C2×C42×C79C2313yes—
394C2×C42×C79C2313yes—
395C2×C42×C79C2313yes—
396C2×C42×C79C2313yes—
397C2×C42×C79C2313yes—
398C2×C42×C79C2313yes—
399C2×C42×C79C2313yes—
400C23×D79C2416yes—
401#11929625—28no—
402#11929624—224no—
403#11929624—412no—
404#11929624—412no—
405#11929623—224no—
406C2×Dic158—46no—
407C2×Dic158C2416yes—
408C2×Dic158C2411yescharacteristic
409C2×Dic158C2413yes—
410C2×Dic158C2416yes—
411C2×Dic158C2416yes—
412Q8×D79—28no—
413C2×D316—46no—
414C2×D316C2413yes—
415C2×D316C2416yes—
416C2×D316C2411yescharacteristic
417C2×D316C2416yes—
418C2×D316C2416yes—
419C2×C22⋊D79—412no—
420C2×C22⋊D79C24112yes—
421C2×C22⋊D79C2416yes—
422C2×C22⋊D79C2412yes—
423C2×C22⋊D79C24112yes—
424C2×C22⋊D79C2416yes—
425C2×C22⋊D79C2416yes—
426D4×D79—224no—
427C22×Dic79C2416yes—
428C22×Dic79C2416yes—
429C22×Dic79C2416yes—
430C2×C4×D79—224no—
431C2×C4×D79C2416yes—
432C2×C4×D79C2416yes—
433C2×C4×D79C2416yes—
434C2×C4×D79C2412yes—
435C2×C4×D79C24112yes—
436C2×C4×D79C24112yes—
437C4⋊Dic79C2416yes—
438C4⋊Dic79C2416yes—
439C4⋊Dic79C2411yescharacteristic
440C4⋊Dic79C2411yescharacteristic
441C4⋊Dic79C2413yes—
442C4⋊Dic79C2413yes—
443C4⋊Dic79C2416yes—
444C4⋊Dic79C2416yes—
445C4⋊Dic79C2416yes—
446C4⋊Dic79C2416yes—
447Dic79⋊C4C2416yes—
448Dic79⋊C4C2416yes—
449Dic79⋊C4C2412yes—
450Dic79⋊C4C2412yes—
451Dic79⋊C4C2412yes—
452Dic79⋊C4C2412yes—
453Dic79⋊C4C2416yes—
454Dic79⋊C4C2416yes—
455Dic79⋊C4C2416yes—
456Dic79⋊C4C2416yes—
457Dic79⋊C4C2416yes—
458Dic79⋊C4C2416yes—
459Dic79⋊C4C2416yes—
460Dic79⋊C4C2416yes—
461Dic79⋊C4C2416yes—
462Dic79⋊C4C2416yes—
463Dic79⋊C4C24112yes—
464Dic79⋊C4C24112yes—
465C22⋊Dic79C24112yes—
466C22⋊Dic79C2412yes—
467C22⋊Dic79C2416yes—
468C22⋊Dic79C2416yes—
469C22⋊Dic79C2416yes—
470C22⋊Dic79C24112yes—
471(C2×D79)⋊C4C2416yes—
472(C2×D79)⋊C4C2416yes—
473(C2×D79)⋊C4C2412yes—
474(C2×D79)⋊C4C2412yes—
475(C2×D79)⋊C4C2412yes—
476(C2×D79)⋊C4C2412yes—
477(C2×D79)⋊C4C2416yes—
478(C2×D79)⋊C4C2416yes—
479(C2×D79)⋊C4C2416yes—
480(C2×D79)⋊C4C2416yes—
481(C2×D79)⋊C4C2416yes—
482(C2×D79)⋊C4C2416yes—
483(C2×D79)⋊C4C2416yes—
484(C2×D79)⋊C4C2416yes—
485(C2×D79)⋊C4C2416yes—
486(C2×D79)⋊C4C2416yes—
487(C2×D79)⋊C4C24112yes—
488(C2×D79)⋊C4C24112yes—
489C4×Dic79C2416yes—
490C4×Dic79C24112yes—
491C4×Dic79C24112yes—
492C4×Dic79C2412yes—
493C4×Dic79C2416yes—
494C4×Dic79C2416yes—
495C24×C79C2413yes—
496#41×C79—24no—
497#41×C79—212no—
498#41×C79—212no—
499#41×C79#4118yescomplemented
500C2×Q8×C79—24no—
501C2×Q8×C79C2413yes—
502C2×Q8×C79C2411yescharacteristic
503C2×D4×C79—212no—
504C2×D4×C79C2416yes—
505C2×D4×C79C2413yes—
506C2×D4×C79C2413yes—
507C22×C4×C79—212no—
508C22×C4×C79—46no—
509C22×C4×C79—46no—
510C22×C4×C79C2413yes—
511C22×C4×C79C2413yes—
512C22×C4×C79C2413yes—
513C22×C4×C79C2411yescharacteristic
514C22×C4×C79C2411yescharacteristic
515C22×C4×C79C2411yescharacteristic
516C22×C4×C79C2413yes—
517C22×C4×C79C2413yes—
518C22×C4×C79C2413yes—
519C22×C4×C79C2413yes—
520C22×C4×C79C2413yes—
521C22×C4×C79C2413yes—
522C22×C4×C79C2413yes—
523C22×C4×C79C2413yes—
524C22×C4×C79C2413yes—
525C22×C4×C79C2413yes—
526C22×C4×C79C2413yes—
527C22×C4×C79C2413yes—
528C4⋊C4×C79C2413yes—
529C4⋊C4×C79C2413yes—
530C4⋊C4×C79C2413yes—
531C4⋊C4×C79C2413yes—
532C4⋊C4×C79C2416yes—
533C4⋊C4×C79C2416yes—
534C22⋊C4×C79C2416yes—
535C22⋊C4×C79C2416yes—
536C22⋊C4×C79C2416yes—
537C22⋊C4×C79C2416yes—
538C42×C79C2411yescharacteristic
539C42×C79C2411yescharacteristic
540C42×C79C2411yescharacteristic
541C42×C79C2411yescharacteristic
542C42×C79C2413yes—
543C42×C79C2413yes—
544C42×C79C2413yes—
545C42×C79C2413yes—
546C42×C79C2413yes—
547C42×C79C2413yes—
548C42×C79C2413yes—
549C42×C79C2413yes—
550C42×C79C2413yes—
551C42×C79C2413yes—
552C42×C79C2413yes—
553C42×C79C2413yes—
554C23×C79—26no—
555C23×C79—26no—
556C23×C79—43no—
557C23×C79C2513yes—
558C23×C79C2513yes—
559C23×C79C2511yescharacteristic
560C22×D79—212no—
561C22×D79—46no—
562C22×D79—46no—
563C22×D79C2512yes—
564C22×D79C2516yes—
565Q8×C79—26no—
566Q8×C79C2×#4114yes—
567D4×C79—212no—
568D4×C79—26no—
569D4×C79C2×#41112yes—
570C2×C4×C79—26no—
571C2×C4×C79—26no—
572C2×C4×C79—22no—
573C2×C4×C79—22no—
574C2×C4×C79—26no—
575C2×C4×C79—26no—
576C2×C4×C79—26no—
577C2×C4×C79—26no—
578C2×C4×C79—26no—
579C2×C4×C79—22no—
580C2×C4×C79—43no—
581C2×C4×C79—43no—
582C2×C4×C79—43no—
583C2×C4×C79—43no—
584C2×C4×C79—43no—
585C2×C4×C79—43no—
586C2×C4×C79—43no—
587C2×C4×C79C2×#41112yes—
588C2×C4×C79C2513yes—
589C2×C4×C79C2513yes—
590C2×C4×C79C2511yescharacteristic
591C2×C4×C79C2511yescharacteristic
592C2×C4×C79C2511yescharacteristic
593C2×C4×C79C2511yescharacteristic
594C2×C4×C79C2513yes—
595C2×C4×C79C2513yes—
596C2×C4×C79C2513yes—
597C2×C4×C79C2513yes—
598C2×C4×C79C2511yescharacteristic
599C2×C4×C79C2511yescharacteristic
600C22⋊D79—224no—
601C22⋊D79—24no—
602C22⋊D79—212no—
603C22⋊D79—46no—
604C22⋊D79—46no—
605C22⋊D79—412no—
606C2×Dic79—212no—
607C2×Dic79—46no—
608C2×Dic79—46no—
609C2×Dic79C2512yes—
610C2×Dic79C2516yes—
611C2×Dic79C2516yes—
612C2×Dic79C2516yes—
613C2×Dic79C2512yes—
614C2×Dic79C2512yes—
615D316—212no—
616D316—22no—
617D316—26no—
618D316—46no—
619D316—46no—
620C4×D79—24no—
621C4×D79—212no—
622C4×D79—212no—
623C4×D79—212no—
624C4×D79—412no—
625C4×D79—412no—
626Dic158—212no—
627Dic158—22no—
628Dic158—26no—
629Dic158—46no—
630Dic158—46no—
631C22×C79—21no—
632C22×C79—21no—
633C22×C79—23no—
634C22×C79—23no—
635C22×C79—23no—
636C22×C79—23no—
637C22×C79—23no—
638C22×C79—412no—
639C22×C79C22×#4116yes—
640C22×C79#58512yes—
641C22×C79C2611yescharacteristic
642C2×D79—26no—
643C2×D79—22no—
644C2×D79—22no—
645C2×D79—26no—
646C2×D79—26no—
647C2×D79—22no—
648C2×D79—812no—
649C4×C79—21no—
650C4×C79—23no—
651C4×C79—21no—
652C4×C79—21no—
653C4×C79—21no—
654C4×C79—23no—
655C4×C79—23no—
656C4×C79—23no—
657C4×C79—23no—
658C4×C79C22×#4112yes—
659C4×C79C22×#4116yes—
660C4×C79#58512yes—
661Dic79—26no—
662Dic79—22no—
663Dic79—22no—
664Dic79—26no—
665Dic79—26no—
666Dic79—22no—
667#62816—791nomaximal, Sylow
668C2×C79—26no—
669C2×C79—22no—
670C2×C79—43no—
671C2×C79C23×#4111yescharacteristic
672C2×C79C2×#58511yescharacteristic
673C2×C79C2×#58511yescharacteristic
674D79—46no—
675D79—42no—
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—793no—
691#3475—796no—
692D4×#41—792no—
693D4×#41—791no—
694#3455—796no—
695#3444—793no—
696C2×#529—793no—
697#3428—792no—
698C2×C4×#41D7911yescharacteristic, complemented
699C79#6281611yescharacteristic, complemented, Sylow
700C22×#41—792no—
701C22×#41C2×D7911yescharacteristic
702#559—793no—
703#559—796no—
704Q82—791no—
705#557—792no—
706#557—791no—
707#557—793no—
708#556—793no—
709#556—796no—
710#556—793no—
711#556—796no—
712#555—793no—
713#555—796no—
714#554—793no—
715#554—793no—
716#554—796no—
717#554—796no—
718#553—796no—
719#553—7912no—
720#553—796no—
721#553—796no—
722#553—796no—
723#552—796no—
724#552—796no—
725#552—7912no—
726#552—796no—
727#552—796no—
728#551—7912no—
729#551—7912no—
730#551—7912no—
731#550—792no—
732#550—791no—
733#550—793no—
734D4×Q8—792no—
735D4×Q8—791no—
736D4×Q8—793no—
737#548—792no—
738#548—792no—
739#548—792no—
740#548—796no—
741#547—796no—
742#547—793no—
743#547—793no—
744#547—796no—
745#546—796no—
746#546—796no—
747#546—796no—
748#546—796no—
749#546—7912no—
750D42—796no—
751D42—793no—
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—796no—
765#533—793no—
766#533—793no—
767#533—793no—
768#532—796no—
769#532—793no—
770#532—793no—
771#532—793no—
772#529—7912no—
773#529—7912no—
774#529—791no—
775#529—793no—
776#529—796no—
777#529—796no—
778#529—793no—
779#529—793no—
780#529—796no—
781#529—793no—
782#529—793no—
783#529—793no—
784#529—793no—
785#529—796no—
786#529—796no—
787#529—796no—
788#529—796no—
789#529—796no—
790#529—796no—
791C2×#126—796no—
792C2×#125—793no—
793C2×#124—793no—
794#525—796no—
795#525—796no—
796#525—796no—
797#525—796no—
798#525—796no—
799C2×#123—796no—
800C2×C22⋊Q8—793no—
801C2×#121—793no—
802#520—792no—
803#520—792no—
804#520—796no—
805#520—796no—
806#519—792no—
807#519—792no—
808#518—796no—
809#518—796no—
810C4×#41—792no—
811C4×#41—796no—
812C4×#41—796no—
813C4×#41—796no—
814C4×#41—796no—
815C4×#41C2×D7911yescharacteristic
816C4×#41C2×D7911yescharacteristic
817C4×#41C2×D7913yescomplemented
818C4×#41C2×D7913yescomplemented
819C4×#41C2×D7913yescomplemented
820C4×#41C2×D7911yescharacteristic, complemented
821C4×#41C2×D7913yescomplemented
822C4×#41C2×D7911yescharacteristic, complemented
823C2×C4×Q8—793no—
824C2×C4×Q8C2×D7911yescharacteristic, complemented
825C2×C4×Q8C2×D7911yescharacteristic, complemented
826C2×C4×D4—796no—
827C2×C4×D4—793no—
828C2×C4×D4C2×D7913yescomplemented
829C2×C4×D4C2×D7913yescomplemented
830C2×#117—796no—
831C2×#117—796no—
832C2×#117C2×D7913yescomplemented
833C22×C42C2×D7913yescomplemented
834C2×#41—28no—
835C2×#41—792no—
836C2×#41—796no—
837C2×#41—796no—
838C2×#41—796no—
839C2×#41—796no—
840C2×#41—15816no—
841C2×#41C22×D7913yes—
842C2×#41C22×D7913yes—
843C2×#41C22×D7911yescharacteristic
844C2×#41C22×D7911yescharacteristic
845C22×Q8—792no—
846C22×Q8—793no—
847C22×Q8C22×D7911yescharacteristic
848C22×D4—796no—
849C22×D4—796no—
850C22×D4—793no—
851C22×D4C22×D7913yes—
852C23×C4—796no—
853C23×C4C22×D7913yes—
854C23×C4C22×D7913yes—
855C23×C4C22×D7913yes—
856C4⋊Q8—796no—
857C4⋊Q8—796no—
858C4⋊Q8—796no—
859C4⋊Q8—793no—
860C4⋊Q8—793no—
861C4⋊Q8—793no—
862#127—796no—
863#127—793no—
864#126—7912no—
865#126—7912no—
866#126—7912no—
867#126—7912no—
868#126—792no—
869#126—796no—
870#126—796no—
871#126—796no—
872#126—796no—
873#126—796no—
874#126—796no—
875#126—796no—
876#126—7912no—
877#125—7912no—
878#125—7912no—
879#125—796no—
880#125—796no—
881#125—791no—
882#125—793no—
883#125—796no—
884#125—796no—
885#125—793no—
886#125—793no—
887#125—796no—
888#125—796no—
889#124—796no—
890#124—796no—
891#124—7912no—
892#124—7912no—
893#124—791no—
894#124—793no—
895#124—796no—
896#124—793no—
897#124—793no—
898#124—796no—
899#124—796no—
900#124—796no—
901#123—7912no—
902#123—792no—
903#123—796no—
904#123—796no—
905#123—796no—
906#123—796no—
907#123—796no—
908#123—796no—
909#123—796no—
910#123—7912no—
911#123—7912no—
912#123—7912no—
913#123—7912no—
914#123—7912no—
915#123—7912no—
916#123—7912no—
917C22⋊Q8—796no—
918C22⋊Q8—796no—
919C22⋊Q8—791no—
920C22⋊Q8—793no—
921C22⋊Q8—796no—
922C22⋊Q8—793no—
923C22⋊Q8—793no—
924C22⋊Q8—796no—
925C22⋊Q8—796no—
926C22⋊Q8—796no—
927C22⋊Q8—796no—
928C22⋊Q8—796no—
929C22⋊Q8—796no—
930C22⋊Q8—796no—
931C22⋊Q8—796no—
932C22⋊Q8—7912no—
933C22⋊Q8—7912no—
934C22⋊Q8—7912no—
935C22⋊Q8—7912no—
936#121—796no—
937#121—796no—
938#121—7912no—
939#121—7912no—
940#121—791no—
941#121—793no—
942#121—796no—
943#121—796no—
944#121—793no—
945#121—793no—
946#121—796no—
947#121—796no—
948#121—796no—
949#121—796no—
950#121—796no—
951#121—796no—
952#121—796no—
953#121—7912no—
954#121—7912no—
955#120—7912no—
956#120—7912no—
957#120—7912no—
958C4×Q8—792no—
959C4×Q8—792no—
960C4×Q8—796no—
961C4×Q8—796no—
962C4×Q8—791no—
963C4×Q8—793no—
964C4×Q8—796no—
965C4×Q8—793no—
966C4×Q8—793no—
967C4×Q8—796no—
968C4×Q8—796no—
969C4×Q8—796no—
970C4×Q8—796no—
971C4×Q8—796no—
972C4×Q8—796no—
973C4×Q8C22×D7911yescharacteristic
974C4×Q8C22×D7911yescharacteristic
975C4×Q8C22×D7911yescharacteristic
976C4×Q8C22×D7911yescharacteristic
977C4×Q8C22×D7913yes—
978C4×Q8C22×D7913yes—
979C4×Q8C22×D7913yes—
980C4×Q8C22×D7913yes—
981C4×D4—796no—
982C4×D4—796no—
983C4×D4—792no—
984C4×D4—796no—
985C4×D4—796no—
986C4×D4—796no—
987C4×D4—796no—
988C4×D4—796no—
989C4×D4—796no—
990C4×D4—796no—
991C4×D4—7912no—
992C4×D4—7912no—
993C4×D4—7912no—
994C4×D4—7912no—
995C4×D4—7912no—
996C4×D4—796no—
997C4×D4—796no—
998C4×D4—7912no—
999C4×D4—7912no—
1000C4×D4—791no—
1001C4×D4—793no—
1002C4×D4—796no—
1003C4×D4—793no—
1004C4×D4—796no—
1005C4×D4—793no—
1006C4×D4—796no—
1007C4×D4—796no—
1008C4×D4—796no—
1009C4×D4—796no—
1010C4×D4—796no—
1011C4×D4C22×D7913yes—
1012C4×D4C22×D7913yes—
1013C4×D4C22×D7913yes—
1014C4×D4C22×D7913yes—
1015C4×D4C22×D7916yes—
1016C4×D4C22×D7916yes—
1017C4×D4C22×D7913yes—
1018C4×D4C22×D7913yes—
1019C4×D4C22×D7916yes—
1020C4×D4C22×D7913yes—
1021C4×D4C22×D7916yes—
1022C4×D4C22×D7913yes—
1023#117—796no—
1024#117—796no—
1025#117—796no—
1026#117—796no—
1027#117—796no—
1028#117—7912no—
1029#117—796no—
1030#117—792no—
1031#117—796no—
1032#117—796no—
1033#117—796no—
1034#117—796no—
1035#117—796no—
1036#117—796no—
1037#117—7912no—
1038#117—7912no—
1039#117C22×D7913yes—
1040#117C22×D7913yes—
1041#117C22×D7916yes—
1042#117C22×D7916yes—
1043#117C22×D7913yes—
1044#117C22×D7913yes—
1045C2×C4⋊C4—796no—
1046C2×C4⋊C4—796no—
1047C2×C4⋊C4—793no—
1048C2×C4⋊C4—796no—
1049C2×C4⋊C4—793no—
1050C2×C4⋊C4—796no—
1051C2×C4⋊C4—796no—
1052C2×C4⋊C4—796no—
1053C2×C4⋊C4C22×D7913yes—
1054C2×C4⋊C4C22×D7913yes—
1055C2×C22⋊C4—796no—
1056C2×C22⋊C4—796no—
1057C2×C22⋊C4—796no—
1058C2×C22⋊C4—796no—
1059C2×C22⋊C4—796no—
1060C2×C22⋊C4—7912no—
1061C2×C22⋊C4C22×D7916yes—
1062C2×C42—796no—
1063C2×C42—7912no—
1064C2×C42C22×D7913yes—
1065C2×C42C22×D7913yes—
1066C2×C42C22×D7913yes—
1067C2×C42C22×D7913yes—
1068C2×C42C22×D7913yes—
1069C2×C42C22×D7913yes—
1070C2×C42C22×D7913yes—
1071C2×C42C22×D7913yes—
1072C2×C42C22×D7913yes—
1073C2×C42C22×D7913yes—
1074C2×C42C22×D7913yes—
1075C2×C42C22×D7911yescharacteristic
1076C24—796no—
1077C24C23×D7913yes—
1078#41—24no—
1079#41—212no—
1080#41—212no—
1081#41—31612no—
1082#41—31612no—
1083#41—1588no—
1084#41—15824no—
1085#41—15824no—
1086#41#1192962418yescomplemented
1087C2×Q8—24no—
1088C2×Q8—3166no—
1089C2×Q8—796no—
1090C2×Q8—796no—
1091C2×Q8—791no—
1092C2×Q8—793no—
1093C2×Q8—796no—
1094C2×Q8—1588no—
1095C2×Q8C23×D7913yes—
1096C2×Q8C23×D7911yescharacteristic
1097C2×D4—212no—
1098C2×D4—3166no—
1099C2×D4—31612no—
1100C2×D4—796no—
1101C2×D4—7912no—
1102C2×D4—796no—
1103C2×D4—796no—
1104C2×D4—7912no—
1105C2×D4—792no—
1106C2×D4—796no—
1107C2×D4—796no—
1108C2×D4—791no—
1109C2×D4—793no—
1110C2×D4—796no—
1111C2×D4—15824no—
1112C2×D4C23×D7916yes—
1113C2×D4C23×D7913yes—
1114C2×D4C23×D7913yes—
1115C22×C4—212no—
1116C22×C4—46no—
1117C22×C4—46no—
1118C22×C4—796no—
1119C22×C4—796no—
1120C22×C4—7912no—
1121C22×C4—7912no—
1122C22×C4—796no—
1123C22×C4—796no—
1124C22×C4—796no—
1125C22×C4—796no—
1126C22×C4—792no—
1127C22×C4—15824no—
1128C22×C4C23×D7911yescharacteristic
1129C22×C4C23×D7911yescharacteristic
1130C22×C4C23×D7913yes—
1131C22×C4C23×D7913yes—
1132C22×C4C23×D7913yes—
1133C22×C4C23×D7913yes—
1134C22×C4C23×D7913yes—
1135C22×C4C23×D7913yes—
1136C22×C4C23×D7911yescharacteristic
1137C22×C4C23×D7913yes—
1138C22×C4C23×D7913yes—
1139C22×C4C23×D7913yes—
1140C22×C4C23×D7913yes—
1141C22×C4C23×D7913yes—
1142C22×C4C23×D7913yes—
1143C22×C4C23×D7913yes—
1144C22×C4C23×D7913yes—
1145C22×C4C23×D7913yes—
1146C4⋊C4—792no—
1147C4⋊C4—796no—
1148C4⋊C4—796no—
1149C4⋊C4—792no—
1150C4⋊C4—792no—
1151C4⋊C4—792no—
1152C4⋊C4—796no—
1153C4⋊C4—796no—
1154C4⋊C4—796no—
1155C4⋊C4—796no—
1156C4⋊C4—796no—
1157C4⋊C4—796no—
1158C4⋊C4—796no—
1159C4⋊C4—796no—
1160C4⋊C4—796no—
1161C4⋊C4—796no—
1162C4⋊C4—7912no—
1163C4⋊C4—7912no—
1164C4⋊C4—791no—
1165C4⋊C4—791no—
1166C4⋊C4—793no—
1167C4⋊C4—793no—
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×D7913yes—
1177C4⋊C4C23×D7913yes—
1178C4⋊C4C23×D7916yes—
1179C4⋊C4C23×D7916yes—
1180C22⋊C4—792no—
1181C22⋊C4—796no—
1182C22⋊C4—7912no—
1183C22⋊C4—796no—
1184C22⋊C4—796no—
1185C22⋊C4—7912no—
1186C22⋊C4—792no—
1187C22⋊C4—796no—
1188C22⋊C4—796no—
1189C22⋊C4—792no—
1190C22⋊C4—792no—
1191C22⋊C4—792no—
1192C22⋊C4—796no—
1193C22⋊C4—796no—
1194C22⋊C4—796no—
1195C22⋊C4—796no—
1196C22⋊C4—796no—
1197C22⋊C4—796no—
1198C22⋊C4—796no—
1199C22⋊C4—796no—
1200C22⋊C4—796no—
1201C22⋊C4—796no—
1202C22⋊C4—7912no—
1203C22⋊C4—7912no—
1204C22⋊C4C23×D7916yes—
1205C22⋊C4C23×D7916yes—
1206C22⋊C4C23×D7916yes—
1207C22⋊C4C23×D7916yes—
1208C42—7912no—
1209C42—7912no—
1210C42—796no—
1211C42—796no—
1212C42—792no—
1213C42—796no—
1214C42C23×D7911yescharacteristic
1215C42C23×D7911yescharacteristic
1216C42C23×D7913yes—
1217C42C23×D7913yes—
1218C42C23×D7913yes—
1219C42C23×D7913yes—
1220C42C23×D7913yes—
1221C42C23×D7913yes—
1222C42C23×D7913yes—
1223C42C23×D7913yes—
1224C42C23×D7913yes—
1225C42C23×D7913yes—
1226C42C23×D7913yes—
1227C42C23×D7911yescharacteristic
1228C42C23×D7911yescharacteristic
1229C42C23×D7913yes—
1230C23—26no—
1231C23—26no—
1232C23—43no—
1233C23—3166no—
1234C23—3166no—
1235C23—792no—
1236C23—796no—
1237C23—15812no—
1238C23C24×D7913yes—
1239C23C24×D7911yescharacteristic
1240C23C24×D7913yes—
1241Q8—26no—
1242Q8—3166no—
1243Q8—3166no—
1244Q8—1582no—
1245Q8—1586no—
1246Q8—15812no—
1247Q8C2×#1192962414yes—
1248D4—212no—
1249D4—26no—
1250D4—3166no—
1251D4—3166no—
1252D4—3166no—
1253D4—3166no—
1254D4—31612no—
1255D4—1584no—
1256D4—15812no—
1257D4—15824no—
1258D4—1582no—
1259D4—1586no—
1260D4—15812no—
1261D4C2×#11929624112yes—
1262C2×C4—22no—
1263C2×C4—26no—
1264C2×C4—26no—
1265C2×C4—22no—
1266C2×C4—26no—
1267C2×C4—26no—
1268C2×C4—22no—
1269C2×C4—26no—
1270C2×C4—26no—
1271C2×C4—26no—
1272C2×C4—43no—
1273C2×C4—43no—
1274C2×C4—43no—
1275C2×C4—43no—
1276C2×C4—43no—
1277C2×C4—43no—
1278C2×C4—43no—
1279C2×C4—31612no—
1280C2×C4—31612no—
1281C2×C4—3166no—
1282C2×C4—3166no—
1283C2×C4—792no—
1284C2×C4—796no—
1285C2×C4—796no—
1286C2×C4—796no—
1287C2×C4—792no—
1288C2×C4—792no—
1289C2×C4—15812no—
1290C2×C4—1584no—
1291C2×C4—15812no—
1292C2×C4—15812no—
1293C2×C4—15812no—
1294C2×C4C2×#11929624112yes—
1295C2×C4C24×D7913yes—
1296C2×C4C24×D7913yes—
1297C2×C4C24×D7911yescharacteristic
1298C2×C4C24×D7911yescharacteristic
1299C2×C4C24×D7911yescharacteristic
1300C2×C4C24×D7911yescharacteristic
1301C2×C4C24×D7913yes—
1302C2×C4C24×D7913yes—
1303C2×C4C24×D7913yes—
1304C2×C4C24×D7911yescharacteristic
1305C2×C4C24×D7913yes—
1306C2×C4C24×D7911yescharacteristic
1307C22—21no—
1308C22—21no—
1309C22—23no—
1310C22—23no—
1311C22—23no—
1312C22—23no—
1313C22—23no—
1314C22—412no—
1315C22—63212no—
1316C22—1582no—
1317C22—1586no—
1318C22—1586no—
1319C22—1586no—
1320C22—1582no—
1321C22—1582no—
1322C22C22×#1192962416yes—
1323C22#1909939912yes—
1324C22C25×D7911yescharacteristic
1325C4—21no—
1326C4—23no—
1327C4—21no—
1328C4—21no—
1329C4—21no—
1330C4—23no—
1331C4—23no—
1332C4—23no—
1333C4—23no—
1334C4—1582no—
1335C4—1586no—
1336C4—1582no—
1337C4—1586no—
1338C4—1586no—
1339C4—1582no—
1340C4C22×#1192962412yes—
1341C4C22×#1192962416yes—
1342C4#1909939912yes—
1343C2—22no—
1344C2—26no—
1345C2—43no—
1346C2—3162no—
1347C2—3166no—
1348C2C23×#1192962411yescharacteristic
1349C2C2×#1909939911yescharacteristic
1350C2C2×#1909939911yescharacteristic
subgroupG/H
centerC2×C4C24×D79
commutator, socle, cosocleC22×C79C26
FrattiniC22C25×D79
FittingC2×C4×#41×C79C2
hypercenterC2×C4×#41D79
hypocenterC79#62816
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C2×C4 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. #23777509C2semidirect
2. #23777496C2semidirect
3. #23777485C2semidirect
4. #23777468C2semidirect
5. #23777449C2semidirect
6. #23777432C2semidirect
7. #23777417C2semidirect
8. #23777406C2semidirect
9. #23777393C2semidirect
10. #23777378C2semidirect
11. #23777361C2semidirect
12. #23777340C2semidirect
13. #23776993C2semidirect
14. #41×Dic158C2semidirect
15. #23776964C2semidirect
16. #23776954C2semidirect
17. #41×D316C2semidirect
18. #41×C22⋊D79C2semidirect
19. #23776785C2semidirect
20. #23776696C2semidirect
21. C2×#19099097C2semidirect
22. #23776599C2semidirect
23. C2×C4×#41×C79C2semidirect
25. #19099298C22semidirect
26. #19099296C22semidirect
27. Q8×Dic158C22semidirect
28. #19099292C22semidirect
29. #19099291C22semidirect
30. #19099289C22semidirect
31. #19099286C22semidirect
32. #19099285C22semidirect
33. #19099283C22semidirect
34. #19099281C22semidirect
35. #19099278C22semidirect
36. #19099276C22semidirect
37. #19099273C22semidirect
38. #19099272C22semidirect
39. #19099270C22semidirect
40. #19099268C22semidirect
41. #19099263C22semidirect
42. #19099262C22semidirect
43. #19099261C22semidirect
44. #19099259C22semidirect
45. #19099257C22semidirect
46. #19099254C22semidirect
47. #19099253C22semidirect
48. #19099252C22semidirect
49. #19099248C22semidirect
50. #19099246C22semidirect
51. #19099242C22semidirect
52. #19099239C22semidirect
53. #19099237C22semidirect
54. #19099235C22semidirect
55. #19099234C22semidirect
56. #19099232C22semidirect
57. Q8×D316C22semidirect
58. D4×Dic158C22semidirect
59. Q8×C22⋊D79C22semidirect
60. #19099225C22semidirect
61. #19099224C22semidirect
62. #19099222C22semidirect
63. #19099220C22semidirect
64. #19099218C22semidirect
65. #19099217C22semidirect
66. #19099214C22semidirect
67. #19099212C22semidirect
68. #19099209C22semidirect
69. #19099208C22semidirect
70. #19099207C22semidirect
71. #19099203C22semidirect
72. #19099201C22semidirect
73. D4×D316C22semidirect
74. D4×C22⋊D79C22semidirect
75. #19099185C22semidirect
76. #19099185C22semidirect
77. #19099178C22semidirect
78. #19099178C22semidirect
79. #19099171C22semidirect
80. #19099171C22semidirect
81. #19099164C22semidirect
82. #19099164C22semidirect
83. #19099155C22semidirect
84. #19099155C22semidirect
85. #19099146C22semidirect
86. #19099146C22semidirect
87. #19099120C22semidirect
88. #19099120C22semidirect
89. #19099120C22semidirect
90. #19099116C22semidirect
91. #19099113C22semidirect
92. #19099113C22semidirect
93. #19099113C22semidirect
94. #19099109C22semidirect
97. #19099097C22semidirect
98. #19099097C22semidirect
99. #19099097C22semidirect
100. #19099097C22semidirect
101. #19099097C22semidirect
102. #19099097C22semidirect
103. #19099097C22semidirect
104. #19099097C22semidirect
105. #19099097C22semidirect
106. #19099097C22semidirect
107. #19099097C22semidirect
108. #19099097C22semidirect
109. #19099097C22semidirect
110. #19099097C22semidirect
111. #19099097C22semidirect
112. #19099091C22semidirect
113. #19099091C22semidirect
114. C2×#14579155C22semidirect
115. C2×#14579153C22semidirect
116. C2×#14579149C22semidirect
117. #19099075C22semidirect
118. #19099074C22semidirect
119. #19099074C22semidirect
120. #19099074C22semidirect
121. #19099070C22semidirect
122. C2×#14579144C22semidirect
123. C2×#14579140C22semidirect
125. #19099045C22semidirect
126. #19099045C22semidirect
127. #19099042C22semidirect
128. #19099042C22semidirect
129. #19099039C22semidirect
130. #19099039C22semidirect
131. #19099035C22semidirect
132. #19099035C22semidirect
134. C4×#11929624C22semidirect
135. C4×#11929624C22semidirect
136. C4×#11929624C22semidirect
137. #19099031C22semidirect
138. C2×C4×Dic158C22semidirect
139. C2×C4×D316C22semidirect
140. C2×C4×C22⋊D79C22semidirect
141. C2×#14579118C22semidirect
142. #117×D79C22semidirect
146. C4×#41×C79C22semidirect
147. C4×#41×C79C22semidirect
148. C4×#41×C79C22semidirect
149. C4×#41×C79C22semidirect
150. C4×#41×C79C22semidirect
151. C4×#41×C79C22semidirect
152. C2×C4×Q8×C79C22semidirect
153. C2×C4×Q8×C79C22semidirect
154. C2×C4×D4×C79C22semidirect
155. C2×C4×D4×C79C22semidirect
156. C2×#117×C79C22semidirect
157. C22×C42×C79C22semidirect
499. #41×C79#41semidirect
698. C2×C4×#41D79semidirect
699. C79#62816semidirect
817. C4×#41C2×D79semidirect
818. C4×#41C2×D79semidirect
819. C4×#41C2×D79semidirect
820. C4×#41C2×D79semidirect
821. C4×#41C2×D79semidirect
822. C4×#41C2×D79semidirect
824. C2×C4×Q8C2×D79semidirect
825. C2×C4×Q8C2×D79semidirect
828. C2×C4×D4C2×D79semidirect
829. C2×C4×D4C2×D79semidirect
832. C2×#117C2×D79semidirect
833. C22×C42C2×D79semidirect
1086. #41#11929624semidirect

Maximal subgroups

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

subgroupindex
#237775092
#237774962
#237774852
#237774682
#237774492
#237774322
#237774172
#237774062
#237773932
#237773782
#237773612
#237773402
#237769932
#41×Dic1582
#237769642
#237769542
#41×D3162
#41×C22⋊D792
#237767852
#237766962
C2×#190990972
#237765992
C2×C4×#41×C792
#6281679