Finite Group Databasebeta

← #35197350

Subgroups — #35197350

Order 20224.

6846 conjugacy classes of subgroups.

The subgroup lattice has 1470 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777508C214yesmaximal, complemented
2#23777500C214yesmaximal, complemented
3#23777495C214yesmaximal, complemented
4#23777489C214yesmaximal, complemented
5#23777416C214yesmaximal, complemented
6#23777410C214yesmaximal, complemented
7#23777392C214yesmaximal, complemented
8#23777384C214yesmaximal, complemented
9#23777258C212yesmaximal, complemented
10#23777256C214yesmaximal, complemented
11#23777208C211yesmaximal, characteristic, complemented
12#23777169C211yesmaximal, characteristic, complemented
13#23777120C211yesmaximal, characteristic, complemented
14#23777115C214yesmaximal, complemented
15#23777047C212yesmaximal, complemented
16#23776834C211yesmaximal, characteristic, complemented
17#23776829C214yesmaximal, complemented
18#23776828C211yesmaximal, characteristic, complemented
19#23776788C212yesmaximal, complemented
20#23776782C214yesmaximal, complemented
21#23776611C212yesmaximal, complemented
22C2×#19099040C211yesmaximal, characteristic, complemented
23C79×#3493C211yesmaximal, characteristic, complemented
24C2×#14579208C2212yes—
25C23×Dic158C2211yescharacteristic
26#19099296C2214yescomplemented
27#19099296C2214yescomplemented
28#19099295C2214yescomplemented
29#19099293C2214yescomplemented
30#19099291C2214yescomplemented
31#19099290C2214yescomplemented
32#19099290C2214yescomplemented
33#19099290C2214yescomplemented
34#19099289C2214yescomplemented
35#19099288C2214yescomplemented
36#19099285C2214yescomplemented
37#19099285C2214yescomplemented
38#19099283C2214yescomplemented
39#19099282C2218yes—
40#19099282C2214yescomplemented
41#19099281C2214yes—
42#19099281C2218yescomplemented
43#19099281C2214yescomplemented
44#19099280C2218yes—
45#19099280C2218yescomplemented
46#19099277C2218yes—
47#19099276C2214yes—
48#19099275C2218yes—
49#19099272C2214yescomplemented
50#19099269C2214yescomplemented
51#19099268C2214yescomplemented
52#19099258C2218yes—
53#19099257C2214yes—
54#19099256C2218yes—
55#19099252C2214yes—
56#19099252C2214yescomplemented
57#19099250C2218yes—
58#19099249C2218yes—
59#19099249C2218yescomplemented
60#19099248C2214yescomplemented
61#19099246C2218yescomplemented
62#19099231C2214yescomplemented
63D4×Dic158C2214yes—
64D4×Dic158C2214yes—
65#19099226C2214yes—
66#19099226C2214yes—
67#19099226C2214yescomplemented
68#19099223C2214yescomplemented
69#19099222C2214yes—
70#19099222C2214yes—
71#19099219C2214yes—
72#19099219C2214yes—
73#19099219C2214yescomplemented
74#19099194C2211yescharacteristic
75#19099192C2214yes—
76#19099187C2214yescomplemented
77#19099186C2212yes—
78#19099186C2212yes—
79#19099181C2218yes—
80#19099180C2212yes—
81#19099180C2212yes—
82#19099180C2214yescomplemented
83#19099179C2218yescomplemented
84#19099177C2218yes—
85#19099177C2218yescomplemented
86#19099176C2214yescomplemented
87#19099173C2212yes—
88#19099173C2212yes—
89#19099173C2214yescomplemented
90#19099172C2218yescomplemented
91#19099170C2218yes—
92#19099170C2218yescomplemented
93#19099166C2212yes—
94#19099166C2212yes—
95#19099163C2218yes—
96#19099162C2214yes—
97#19099158C2214yes—
98#19099157C2214yes—
99#19099157C2214yes—
100#19099155C2218yes—
101#19099151C2214yes—
102#19099148C2214yes—
103#19099148C2214yes—
104#19099144C2211yescharacteristic
105#19099140C2214yes—
106#19099139C2212yes—
107#19099135C2218yes—
108#19099134C2212yes—
109#19099118C2214yescomplemented
110#19099117C2218yescomplemented
111#19099116C2212yes—
112#19099116C2218yescomplemented
113#19099115C2214yes—
114#19099115C2214yescomplemented
115#19099109C2212yes—
116#19099108C2214yes—
117#19099099C2214yes—
118#19099098C2214yescomplemented
119#19099097C2214yes—
120#19099096C2218yes—
121#19099095C2214yes—
122#19099095C2214yes—
123#19099094C2218yes—
124#19099094C2214yes—
125#19099094C2214yescomplemented
126#19099093C2214yes—
127#19099093C2214yes—
128#19099093C2218yes—
129#19099093C2218yescomplemented
130#19099092C2218yes—
131#19099091C2218yescomplemented
132#19099090C2218yes—
133#19099074C2212yes—
134#19099069C2218yes—
135#19099044C2212yes—
136#19099044C2214yescomplemented
137#19099042C2218yes—
138#19099042C2214yescomplemented
139#19099040C2212yes—
140#19099040C2214yes—
141#19099040C2214yes—
142#19099040C2214yes—
143#19099040C2214yes—
144#19099040C2214yescomplemented
145#19099039C2214yescomplemented
146#41×Dic79C2212yes—
147#19099031C2212yes—
148#19099031C2214yescomplemented
149C4×#11929623C2218yes—
150C4×#11929623C2214yescomplemented
151C2×C4×Dic158C2212yes—
152C2×C4×Dic158C2212yes—
153C2×#14579126C2211yescharacteristic
154C2×#14579126C2211yescharacteristic
155C2×#14579126C2211yescharacteristic
156C2×#14579126C2211yescharacteristic
157C2×#14579126C2214yescomplemented
158C4×Q8×D79C2214yescomplemented
159C2×#14579120C2211yescharacteristic
160C2×#14579117C2212yes—
161C2×#14579117C2212yes—
162#556×C79C2214yes—
163#555×C79C2214yes—
164#553×C79C2214yes—
165#552×C79C2214yes—
166#544×C79C2211yescharacteristic
167#538×C79C2214yes—
168#537×C79C2211yescharacteristic
169#529×C79C2214yes—
170#525×C79C2212yes—
171#520×C79C2212yes—
172C2×#117×C79C2211yescharacteristic
173#14579208—216no—
174C2×#11929624C2312yes—
175C2×#11929624C2314yes—
176C2×#11929623C2318yes—
177C2×#11929623C2314yes—
178C22×Dic158—28no—
179C22×Dic158C2311yescharacteristic
180C22×Dic158C2314yes—
181C22×Dic158C2314yes—
182C22×Dic158C2314yes—
183C22×Dic158C2312yes—
184C22×Dic158C2311yescharacteristic
185C2×Q8×D79C2314yes—
186C23×Dic79C2312yes—
187#14579161C2314yes—
188#14579160C2314yes—
189#14579160C2318yes—
190#14579160C2318yes—
191#14579160C2318yes—
192#14579160C2312yes—
193#14579160C2312yes—
194#14579160C2314yes—
195#14579160C2314yes—
196#14579159C2312yes—
197#14579159C2314yes—
198#14579159C2314yes—
199#14579159C2318yes—
200#14579157C2314yes—
201#14579157C2312yes—
202#14579156C2314yes—
203#14579156C2314yes—
204#14579156C2318yes—
205#14579156C2318yes—
206#14579156C2318yes—
207#14579155C2318yes—
208#14579155C2318yes—
209#14579154C2314yes—
210#14579154C2314yes—
211#14579154C2314yes—
212#14579154C2314yes—
213#14579154C2318yes—
214#14579154C2318yes—
215#14579154C2314yes—
216#14579154C2314yes—
217#14579154C2318yes—
218#14579154C2318yes—
219#14579154C2318yes—
220#14579153C2318yes—
221#14579153C2314yes—
222#14579152C2314yes—
223#14579152C2314yes—
224#14579152C2318yes—
225#14579152C2312yes—
226#14579152C2312yes—
227#14579152C2314yes—
228#14579152C2314yes—
229#14579152C2314yes—
230#14579151C2318yes—
231#14579151C2314yes—
232#14579151C2314yes—
233#14579151C2318yes—
234#14579151C2318yes—
235#14579151C2318yes—
236#14579151C2318yes—
237#14579151C2318yes—
238#14579150C2312yes—
239#14579150C2314yes—
240#14579149C2314yes—
241#14579149C2314yes—
242#14579148C2314yes—
243#14579148C2314yes—
244#14579148C2312yes—
245#14579148C2314yes—
246#14579148C2314yes—
247#14579147C2314yes—
248#14579147C2314yes—
249#14579147C2318yes—
250#14579147C2318yes—
251#14579147C2318yes—
252#14579147C2318yes—
253#14579147C2318yes—
254#14579146C2318yes—
255#14579145C2318yes—
256#14579145C2314yes—
257#14579145C2314yes—
258#14579144C2318yes—
259#14579144C2314yes—
260#14579143C2314yes—
261#14579143C2314yes—
262#14579143C2318yes—
263#14579143C2318yes—
264#14579143C2314yes—
265#14579143C2314yes—
266#14579142C2314yes—
267#14579142C2314yes—
268#14579142C2318yes—
269#14579142C2318yes—
270#14579141C2314yes—
271#14579141C2314yes—
272#14579141C2314yes—
273#14579141C2314yes—
274#14579141C2314yes—
275#14579140C2314yes—
276#14579140C2318yes—
277#14579140C2312yes—
278#14579140C2312yes—
279#14579140C2314yes—
280#14579140C2314yes—
281#14579139C2318yes—
282#14579139C2318yes—
283#14579139C2318yes—
284#14579139C2318yes—
285#14579138C2318yes—
286#14579138C2314yes—
287#14579138C2314yes—
288#14579138C2314yes—
289#14579138C2314yes—
290#14579138C2318yes—
291#14579138C2318yes—
292#14579138C2318yes—
293#14579138C2318yes—
294#14579138C2318yes—
295#14579137C2318yes—
296#14579136C2314yes—
297#14579135C2314yes—
298#14579135C2312yes—
299#14579135C2312yes—
300#14579134C2318yes—
301#14579134C2318yes—
302#14579133C2314yes—
303#14579133C2318yes—
304#14579133C2314yes—
305#14579133C2314yes—
306#14579133C2314yes—
307#14579133C2318yes—
308#14579133C2318yes—
309#14579132C2314yes—
310#14579132C2314yes—
311#14579130C2314yes—
312Q8×Dic79C2312yes—
313Q8×Dic79C2312yes—
314Q8×Dic79C2314yes—
315Q8×Dic79C2314yes—
316C4×Dic158C2318yes—
317C4×Dic158C2318yes—
318C4×Dic158C2318yes—
319C4×Dic158C2314yes—
320C4×Dic158C2314yes—
321C4×Dic158C2314yes—
322C4×Dic158C2318yes—
323C4×Dic158C2314yes—
324C4×Dic158C2314yes—
325C4×Dic158C2314yes—
326C4×Dic158C2318yes—
327C4×Dic158C2314yes—
328C4×Dic158C2314yes—
329C4×Dic158C2314yes—
330#14579126C2318yes—
331#14579126C2312yes—
332#14579126C2312yes—
333#14579126C2314yes—
334#14579126C2314yes—
335#14579126C2314yes—
336#14579126C2314yes—
337#14579126C2314yes—
338#14579126C2314yes—
339#14579126C2314yes—
340#14579126C2318yes—
341#14579126C2314yes—
342#14579126C2314yes—
343#14579126C2314yes—
344#14579126C2318yes—
345#14579126C2314yes—
346#14579126C2314yes—
347#14579126C2314yes—
348C4×D316C2314yes—
349D4×Dic79C2314yes—
350D4×Dic79C2314yes—
351D4×Dic79C2312yes—
352D4×Dic79C2312yes—
353D4×Dic79C2318yes—
354D4×Dic79C2318yes—
355D4×Dic79C2314yes—
356D4×Dic79C2314yes—
357#14579123C2312yes—
358#14579123C2312yes—
359#14579123C2314yes—
360#14579123C2314yes—
361#14579123C2314yes—
362C4×C22⋊D79C2318yes—
363C4×C22⋊D79C2318yes—
364C4×C22⋊D79C2314yes—
365C4×C22⋊D79C2314yes—
366C4×C22⋊D79C2314yes—
367C4×C22⋊D79C2314yes—
368C4×C22⋊D79C2318yes—
369C4×C22⋊D79C2318yes—
370(C22⋊D79)⋊C4C2314yes—
371(C22⋊D79)⋊C4C2314yes—
372(C22⋊D79)⋊C4C2318yes—
373(C22⋊D79)⋊C4C2318yes—
374(C22⋊D79)⋊C4C2318yes—
375(C22⋊D79)⋊C4C2318yes—
376(C22⋊D79)⋊C4C2318yes—
377#14579120C2312yes—
378#14579120C2312yes—
379#14579120C2314yes—
380#14579120C2312yes—
381#14579120C2312yes—
382#14579120C2312yes—
383#14579120C2318yes—
384#14579119C2318yes—
385#14579119C2314yes—
386#14579119C2318yes—
387#14579118C2314yes—
388#14579118C2318yes—
389#14579118C2318yes—
390#14579118C2318yes—
391#14579117C2318yes—
392#14579117C2318yes—
393#14579117C2318yes—
394#14579117C2318yes—
395#14579117C2318yes—
396#14579117C2318yes—
397#14579117C2318yes—
398#14579117C2318yes—
399C2×C4⋊Dic79C2311yescharacteristic
400C2×C4⋊Dic79C2311yescharacteristic
401C2×Dic79⋊C4C2312yes—
402C2×Dic79⋊C4C2312yes—
403C2×Dic79⋊C4C2312yes—
404C2×Dic79⋊C4C2318yes—
405C2×Dic79⋊C4C2312yes—
406C4⋊C4×D79C2318yes—
407C4⋊C4×D79C2314yes—
408C2×C22⋊Dic79C2311yescharacteristic
409C2×C22⋊Dic79C2311yescharacteristic
410C2×C4×Dic79C2312yes—
411C2×C4×Dic79C2312yes—
412C2×C4×Dic79C2312yes—
413C2×C4×Dic79C2312yes—
414C2×C4×Dic79C2311yescharacteristic
415C2×C4×Dic79C2311yescharacteristic
416C2×C4×Dic79C2318yes—
417C2×C4×Dic79C2314yes—
418C42×D79C2318yes—
419C42×D79C2314yes—
420C2×#41×C79C2312yes—
421C23×C4×C79C2311yescharacteristic
422C4⋊Q8×C79C2314yes—
423#126×C79C2318yes—
424#126×C79C2318yes—
425#125×C79C2314yes—
426#125×C79C2314yes—
427#124×C79C2318yes—
428#124×C79C2314yes—
429#123×C79C2314yes—
430#123×C79C2318yes—
431C22⋊Q8×C79C2314yes—
432C22⋊Q8×C79C2312yes—
433C22⋊Q8×C79C2312yes—
434C22⋊Q8×C79C2314yes—
435#121×C79C2314yes—
436#121×C79C2318yes—
437#121×C79C2312yes—
438#121×C79C2312yes—
439#121×C79C2314yes—
440#120×C79C2314yes—
441C4×Q8×C79C2314yes—
442C4×Q8×C79C2314yes—
443C4×D4×C79C2318yes—
444C4×D4×C79C2314yes—
445C4×D4×C79C2314yes—
446C4×D4×C79C2314yes—
447C4×D4×C79C2314yes—
448#117×C79C2312yes—
449#117×C79C2314yes—
450#117×C79C2314yes—
451#117×C79C2314yes—
452#117×C79C2318yes—
453C2×C4⋊C4×C79C2311yescharacteristic
454C2×C4⋊C4×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2314yes—
456C2×C22⋊C4×C79C2312yes—
457C2×C42×C79C2312yes—
458#11929624—216no—
459#11929624—28no—
460#11929623—232no—
461#11929623—216no—
462C2×Dic158—28no—
463C2×Dic158—216no—
464C2×Dic158—216no—
465C2×Dic158—216no—
466C2×Dic158—24no—
467C2×Dic158#4118yes—
468C2×Dic158C2418yes—
469C2×Dic158C2414yes—
470C2×Dic158C2414yes—
471C2×Dic158C2414yes—
472C2×Dic158C2412yes—
473C2×Dic158C2414yes—
474C2×Dic158C2414yes—
475C2×Dic158C2414yes—
476C2×Dic158C2414yes—
477Q8×D79—216no—
478C2×D316C2412yes—
479C2×D316C2414yes—
480C2×C22⋊D79C2414yes—
481C2×C22⋊D79C2418yes—
482C2×C22⋊D79C2414yes—
483C2×C22⋊D79C2414yes—
484C2×C22⋊D79C2414yes—
485C2×C22⋊D79C2414yes—
486C22×Dic79—28no—
487C22×Dic79C2412yes—
488C22×Dic79C2418yes—
489C22×Dic79C2418yes—
490C22×Dic79C2411yescharacteristic
491C22×Dic79C2411yescharacteristic
492C22×Dic79C2411yescharacteristic
493C22×Dic79C2411yescharacteristic
494C22×Dic79C2414yes—
495C22×Dic79C2414yes—
496C22×Dic79C2412yes—
497C2×C4×D79C2418yes—
498C2×C4×D79C2414yes—
499C2×C4×D79C2414yes—
500C2×C4×D79C2418yes—
501C2×C4×D79C2414yes—
502C4⋊Dic79C2412yes—
503C4⋊Dic79C2414yes—
504C4⋊Dic79C2411yescharacteristic
505C4⋊Dic79C2412yes—
506C4⋊Dic79C2411yescharacteristic
507C4⋊Dic79C2412yes—
508C4⋊Dic79C2411yescharacteristic
509C4⋊Dic79C2411yescharacteristic
510C4⋊Dic79C2412yes—
511C4⋊Dic79C2414yes—
512C4⋊Dic79C2418yes—
513C4⋊Dic79C2414yes—
514C4⋊Dic79C2414yes—
515C4⋊Dic79C2414yes—
516C4⋊Dic79C2418yes—
517C4⋊Dic79C2414yes—
518Dic79⋊C4C2414yes—
519Dic79⋊C4C2418yes—
520Dic79⋊C4C2418yes—
521Dic79⋊C4C2414yes—
522Dic79⋊C4C2414yes—
523Dic79⋊C4C2418yes—
524Dic79⋊C4C2418yes—
525Dic79⋊C4C2414yes—
526Dic79⋊C4C2414yes—
527Dic79⋊C4C2418yes—
528Dic79⋊C4C2414yes—
529Dic79⋊C4C2418yes—
530Dic79⋊C4C2418yes—
531Dic79⋊C4C2414yes—
532Dic79⋊C4C2414yes—
533Dic79⋊C4C2414yes—
534Dic79⋊C4C2418yes—
535Dic79⋊C4C2414yes—
536Dic79⋊C4C2414yes—
537Dic79⋊C4C2414yes—
538Dic79⋊C4C2414yes—
539Dic79⋊C4C2414yes—
540C22⋊Dic79C2412yes—
541C22⋊Dic79C2412yes—
542C22⋊Dic79C2412yes—
543C22⋊Dic79C2412yes—
544C22⋊Dic79C2414yes—
545C22⋊Dic79C2414yes—
546C22⋊Dic79C2414yes—
547C22⋊Dic79C2418yes—
548C22⋊Dic79C2414yes—
549C22⋊Dic79C2414yes—
550C22⋊Dic79C2414yes—
551C22⋊Dic79C2418yes—
552C22⋊Dic79C2414yes—
553(C2×D79)⋊C4C2414yes—
554(C2×D79)⋊C4C2414yes—
555(C2×D79)⋊C4C2414yes—
556(C2×D79)⋊C4C2414yes—
557(C2×D79)⋊C4C2418yes—
558(C2×D79)⋊C4C2418yes—
559(C2×D79)⋊C4C2418yes—
560(C2×D79)⋊C4C2418yes—
561(C2×D79)⋊C4C2414yes—
562(C2×D79)⋊C4C2414yes—
563C4×Dic79C2412yes—
564C4×Dic79C2414yes—
565C4×Dic79C2418yes—
566C4×Dic79C2414yes—
567C4×Dic79C2414yes—
568C4×Dic79C2418yes—
569C4×Dic79C2412yes—
570C4×Dic79C2414yes—
571C4×Dic79C2414yes—
572C4×Dic79C2418yes—
573C4×Dic79C2414yes—
574C4×Dic79C2414yes—
575C4×Dic79C2414yes—
576C4×Dic79C2418yes—
577C4×Dic79C2418yes—
578C4×Dic79C2414yes—
579C4×Dic79C2412yes—
580C4×Dic79C2412yes—
581C24×C79C2411yescharacteristic
582#41×C79—28no—
583C2×Q8×C79C2412yes—
584C2×Q8×C79C2414yes—
585C2×D4×C79C2414yes—
586C2×D4×C79C2412yes—
587C2×D4×C79C2414yes—
588C2×D4×C79C2414yes—
589C2×D4×C79C2414yes—
590C22×C4×C79—24no—
591C22×C4×C79C2411yescharacteristic
592C22×C4×C79C2412yes—
593C22×C4×C79C2412yes—
594C22×C4×C79C2414yes—
595C22×C4×C79C2412yes—
596C22×C4×C79C2412yes—
597C22×C4×C79C2418yes—
598C22×C4×C79C2411yescharacteristic
599C4⋊C4×C79C2414yes—
600C4⋊C4×C79C2412yes—
601C4⋊C4×C79C2414yes—
602C4⋊C4×C79C2418yes—
603C4⋊C4×C79C2412yes—
604C4⋊C4×C79C2414yes—
605C4⋊C4×C79C2418yes—
606C4⋊C4×C79C2414yes—
607C4⋊C4×C79C2414yes—
608C4⋊C4×C79C2414yes—
609C22⋊C4×C79C2418yes—
610C22⋊C4×C79C2414yes—
611C22⋊C4×C79C2414yes—
612C22⋊C4×C79C2418yes—
613C22⋊C4×C79C2418yes—
614C22⋊C4×C79C2414yes—
615C22⋊C4×C79C2414yes—
616C22⋊C4×C79C2414yes—
617C42×C79C2414yes—
618C42×C79C2414yes—
619C42×C79C2418yes—
620C42×C79C2414yes—
621C23×C79—22no—
622C23×C79—41no—
623C23×C79—41no—
624C23×C79C2512yes—
625C23×C79C2514yes—
626C23×C79C2511yescharacteristic
627C22×D79C2514yes—
628Q8×C79—24no—
629Q8×C79—44no—
630D4×C79—28no—
631D4×C79—24no—
632D4×C79—44no—
633D4×C79—44no—
634D4×C79—44no—
635C2×C4×C79—22no—
636C2×C4×C79—24no—
637C2×C4×C79—24no—
638C2×C4×C79—28no—
639C2×C4×C79—42no—
640C2×C4×C79—48no—
641C2×C4×C79—42no—
642C2×C4×C79C2×#4114yes—
643C2×C4×C79C2514yes—
644C2×C4×C79C2514yes—
645C2×C4×C79C2514yes—
646C2×C4×C79C2514yes—
647C2×C4×C79C2514yes—
648C2×C4×C79C2511yescharacteristic
649C2×C4×C79C2511yescharacteristic
650C2×C4×C79C2512yes—
651C22⋊D79—28no—
652C22⋊D79—216no—
653C22⋊D79—44no—
654C22⋊D79—44no—
655C22⋊D79—44no—
656C22⋊D79—44no—
657C2×Dic79—24no—
658C2×Dic79—216no—
659C2×Dic79—216no—
660C2×Dic79—41no—
661C2×Dic79—41no—
662C2×Dic79—44no—
663C2×Dic79—44no—
664C2×Dic79—41no—
665C2×Dic79—41no—
666C2×Dic79C2×#4118yes—
667C2×Dic79C2511yescharacteristic
668C2×Dic79C2512yes—
669C2×Dic79C2511yescharacteristic
670C2×Dic79C2511yescharacteristic
671C2×Dic79C2514yes—
672C2×Dic79C2512yes—
673C2×Dic79C2511yescharacteristic
674C2×Dic79C2514yes—
675C2×Dic79C2514yes—
676C2×Dic79C2514yes—
677C2×Dic79C2514yes—
678D316—24no—
679D316—44no—
680C4×D79—28no—
681C4×D79—216no—
682C4×D79—48no—
683C4×D79—44no—
684C4×D79—44no—
685Dic158—28no—
686Dic158—24no—
687Dic158—216no—
688Dic158—28no—
689Dic158—28no—
690Dic158—44no—
691Dic158—44no—
692Dic158—44no—
693Dic158C2×#41116yes—
694C22×C79—21no—
695C22×C79—21no—
696C22×C79—24no—
697C22×C79—22no—
698C22×C79—22no—
699C22×C79—22no—
700C22×C79—24no—
701C22×C79—24no—
702C22×C79—44no—
703C22×C79C22×#4112yes—
704C22×C79C2611yescharacteristic
705C2×D79—24no—
706C2×D79—24no—
707C2×D79—24no—
708C4×C79—21no—
709C4×C79—21no—
710C4×C79—24no—
711C4×C79—24no—
712C4×C79—24no—
713C4×C79—24no—
714C4×C79—24no—
715C4×C79C22×#4114yes—
716Dic79—24no—
717Dic79—24no—
718Dic79—21no—
719Dic79—22no—
720Dic79—24no—
721Dic79—24no—
722Dic79—21no—
723Dic79—21no—
724Dic79—22no—
725Dic79—21no—
726Dic79C22×#4118yes—
727#62850—791nomaximal, Sylow
728C2×C79—22no—
729C2×C79—44no—
730C2×C79—42no—
731C2×C79C23×#4111yescharacteristic
732C2×C792−1+611yescharacteristic
733C2×C792−1+611yescharacteristic
734D79—44no—
735#3524—794no—
736#3524—794no—
737#3523—794no—
738#3523—794no—
739#3518—794no—
740#3518—794no—
741#3516—794no—
742#3516—794no—
743#3507—794no—
744#3507—792no—
745#3502—791no—
746#3497—791no—
747#3493—794no—
748#3493—791no—
749#3493D7911yescharacteristic, complemented
750#3486—792no—
751#3461—791no—
752#3461—791no—
753#3461—794no—
754#3455—794no—
755#3455—792no—
756C4×2−1+4—792no—
757C2×#519—791no—
758C79#6285011yescharacteristic, complemented, Sylow
759C2×2−1+4—792no—
760C23×Q8—791no—
761#559—794no—
762#559—794no—
763#559—794no—
764Q82—794no—
765#557—794no—
766#557—794no—
767#557—794no—
768#557—794no—
769#557—794no—
770#557—794no—
771#556—798no—
772#556—798no—
773#556—798no—
774#556—794no—
775#556—794no—
776#556—794no—
777#556—794no—
778#556—794no—
779#556—798no—
780#556—794no—
781#556C2×D7914yes—
782#555—798no—
783#555—798no—
784#555—794no—
785#555C2×D7914yes—
786#554—794no—
787#554—794no—
788#554—794no—
789#553—798no—
790#553—798no—
791#553—794no—
792#553C2×D7914yes—
793#552—798no—
794#552—798no—
795#552—798no—
796#552—798no—
797#552—794no—
798#552—794no—
799#552—794no—
800#552C2×D7914yes—
801#550—794no—
802D4×Q8—794no—
803D4×Q8—794no—
804D4×Q8—794no—
805D4×Q8—794no—
806D4×Q8—794no—
807#548—794no—
808#548—794no—
809#548—794no—
810#548—794no—
811#548—794no—
812#548—794no—
813#544—794no—
814#544—791no—
815#544C2×D7911yescharacteristic
816#542—794no—
817#542—798no—
818#542—798no—
819#542—798no—
820#542—798no—
821#542—792no—
822#542—792no—
823#542—792no—
824#542—792no—
825#542—794no—
826#541—798no—
827#541—798no—
828#541—798no—
829#541—794no—
830#541—792no—
831#541—792no—
832#541—794no—
833#540—798no—
834#540—792no—
835#540—792no—
836#539—794no—
837#539—794no—
838#539—794no—
839#539—794no—
840#539—798no—
841#538—794no—
842#538—794no—
843#538—794no—
844#538C2×D7914yes—
845#537—794no—
846#537—791no—
847#537C2×D7911yescharacteristic
848#536—792no—
849#536—798no—
850#536—792no—
851#533—794no—
852#533—794no—
853#533—794no—
854#533—798no—
855#533—792no—
856#533—798no—
857#532—792no—
858#532—794no—
859#529—798no—
860#529—794no—
861#529—798no—
862#529—798no—
863#529—794no—
864#529—798no—
865#529—794no—
866#529—794no—
867#529—794no—
868#529—794no—
869#529—794no—
870#529—794no—
871#529—798no—
872#529—798no—
873#529—798no—
874#529—794no—
875#529C2×D7914yes—
876#525—792no—
877#525—798no—
878#525C2×D7912yes—
879#520—798no—
880#520—794no—
881#520—792no—
882#520—794no—
883#520C2×D7912yes—
884#519—794no—
885#519—794no—
886#519—794no—
887#519—794no—
888#519—794no—
889#519—792no—
890#519—794no—
891C4×#41—792no—
892C4×#41—798no—
893C4×#41—794no—
894C4×#41—792no—
895C4×#41—794no—
896C2×C4×Q8—794no—
897C2×C4×Q8—791no—
898C2×C4×Q8—791no—
899C2×C4×Q8—791no—
900C2×C4×Q8—791no—
901C2×C4×Q8—794no—
902C2×C4×Q8—792no—
903C2×C4×Q8—792no—
904C2×#117—791no—
905C2×#117—792no—
906C2×#117—792no—
907C2×#117C2×D7911yescharacteristic
9082−1+4—15816no—
909C2×#41—798no—
910C2×#41—794no—
911C2×#41—792no—
912C2×#41—794no—
913C2×#41C22×D7912yes—
914C22×Q8—794no—
915C22×Q8—791no—
916C22×Q8—792no—
917C22×Q8—791no—
918C22×Q8—794no—
919C22×Q8—794no—
920C22×Q8—794no—
921C22×Q8—1588no—
922C23×C4—792no—
923C23×C4C22×D7911yescharacteristic
924C4⋊Q8—792no—
925C4⋊Q8—794no—
926C4⋊Q8—794no—
927C4⋊Q8—798no—
928C4⋊Q8—794no—
929C4⋊Q8—798no—
930C4⋊Q8—798no—
931C4⋊Q8—794no—
932C4⋊Q8—792no—
933C4⋊Q8—792no—
934C4⋊Q8—798no—
935C4⋊Q8—794no—
936C4⋊Q8—794no—
937C4⋊Q8C22×D7914yes—
938#127—792no—
939#127—794no—
940#126—798no—
941#126—794no—
942#126—794no—
943#126—798no—
944#126—798no—
945#126—794no—
946#126—794no—
947#126—794no—
948#126—798no—
949#126—794no—
950#126—794no—
951#126—798no—
952#126—794no—
953#126—798no—
954#126—798no—
955#126—798no—
956#126—798no—
957#126—798no—
958#126C22×D7918yes—
959#126C22×D7918yes—
960#125—798no—
961#125—794no—
962#125—798no—
963#125—794no—
964#125—794no—
965#125—798no—
966#125—794no—
967#125—798no—
968#125—794no—
969#125—794no—
970#125—798no—
971#125—798no—
972#125—794no—
973#125—798no—
974#125—792no—
975#125—792no—
976#125—798no—
977#125—794no—
978#125C22×D7914yes—
979#125C22×D7914yes—
980#124—794no—
981#124—792no—
982#124—794no—
983#124—794no—
984#124—794no—
985#124—794no—
986#124—792no—
987#124—794no—
988#124—798no—
989#124—798no—
990#124—794no—
991#124—798no—
992#124—798no—
993#124—798no—
994#124—794no—
995#124—794no—
996#124C22×D7918yes—
997#124C22×D7914yes—
998#123—798no—
999#123—794no—
1000#123—798no—
1001#123—794no—
1002#123—794no—
1003#123—798no—
1004#123—798no—
1005#123—798no—
1006#123—794no—
1007#123—794no—
1008#123—794no—
1009#123—794no—
1010#123—798no—
1011#123—794no—
1012#123—798no—
1013#123—794no—
1014#123C22×D7914yes—
1015#123C22×D7918yes—
1016C22⋊Q8—798no—
1017C22⋊Q8—792no—
1018C22⋊Q8—792no—
1019C22⋊Q8—794no—
1020C22⋊Q8—794no—
1021C22⋊Q8—798no—
1022C22⋊Q8—794no—
1023C22⋊Q8—794no—
1024C22⋊Q8—798no—
1025C22⋊Q8—794no—
1026C22⋊Q8—798no—
1027C22⋊Q8—794no—
1028C22⋊Q8—798no—
1029C22⋊Q8—794no—
1030C22⋊Q8—798no—
1031C22⋊Q8—794no—
1032C22⋊Q8—798no—
1033C22⋊Q8—798no—
1034C22⋊Q8—794no—
1035C22⋊Q8—794no—
1036C22⋊Q8—798no—
1037C22⋊Q8—798no—
1038C22⋊Q8—794no—
1039C22⋊Q8—794no—
1040C22⋊Q8—798no—
1041C22⋊Q8—798no—
1042C22⋊Q8C22×D7912yes—
1043C22⋊Q8C22×D7912yes—
1044C22⋊Q8C22×D7914yes—
1045C22⋊Q8C22×D7914yes—
1046#121—798no—
1047#121—798no—
1048#121—794no—
1049#121—794no—
1050#121—794no—
1051#121—798no—
1052#121—794no—
1053#121—794no—
1054#121—794no—
1055#121—792no—
1056#121—792no—
1057#121—794no—
1058#121—794no—
1059#121—798no—
1060#121—798no—
1061#121C22×D7912yes—
1062#121C22×D7912yes—
1063#121C22×D7914yes—
1064#121C22×D7914yes—
1065#121C22×D7918yes—
1066#120—794no—
1067#120C22×D7914yes—
1068C4×Q8—792no—
1069C4×Q8—792no—
1070C4×Q8—794no—
1071C4×Q8—794no—
1072C4×Q8—794no—
1073C4×Q8—794no—
1074C4×Q8—798no—
1075C4×Q8—792no—
1076C4×Q8—794no—
1077C4×Q8—794no—
1078C4×Q8—794no—
1079C4×Q8—794no—
1080C4×Q8—794no—
1081C4×Q8—794no—
1082C4×Q8—794no—
1083C4×Q8—798no—
1084C4×Q8—794no—
1085C4×Q8—792no—
1086C4×Q8—794no—
1087C4×Q8—798no—
1088C4×Q8—794no—
1089C4×Q8—794no—
1090C4×Q8—798no—
1091C4×Q8—798no—
1092C4×Q8—794no—
1093C4×Q8—794no—
1094C4×Q8—794no—
1095C4×Q8—794no—
1096C4×Q8—794no—
1097C4×Q8—798no—
1098C4×Q8—798no—
1099C4×Q8—794no—
1100C4×Q8—794no—
1101C4×Q8—794no—
1102C4×Q8—798no—
1103C4×Q8—794no—
1104C4×Q8C22×D7914yes—
1105C4×Q8C22×D7914yes—
1106C4×D4—794no—
1107C4×D4—792no—
1108C4×D4—794no—
1109C4×D4—792no—
1110C4×D4—798no—
1111C4×D4—798no—
1112C4×D4—794no—
1113C4×D4—794no—
1114C4×D4—798no—
1115C4×D4—798no—
1116C4×D4—798no—
1117C4×D4—794no—
1118C4×D4—794no—
1119C4×D4—798no—
1120C4×D4—794no—
1121C4×D4—794no—
1122C4×D4—792no—
1123C4×D4—792no—
1124C4×D4—794no—
1125C4×D4—794no—
1126C4×D4—794no—
1127C4×D4—794no—
1128C4×D4—798no—
1129C4×D4—794no—
1130C4×D4—798no—
1131C4×D4—798no—
1132C4×D4—798no—
1133C4×D4—798no—
1134C4×D4—794no—
1135C4×D4C22×D7918yes—
1136C4×D4C22×D7914yes—
1137C4×D4C22×D7914yes—
1138C4×D4C22×D7914yes—
1139C4×D4C22×D7914yes—
1140#117—792no—
1141#117—792no—
1142#117—792no—
1143#117—792no—
1144#117—792no—
1145#117—794no—
1146#117—798no—
1147#117—798no—
1148#117—794no—
1149#117—798no—
1150#117—798no—
1151#117—798no—
1152#117—798no—
1153#117—798no—
1154#117—798no—
1155#117—798no—
1156#117—798no—
1157#117—798no—
1158#117—794no—
1159#117—798no—
1160#117—798no—
1161#117—798no—
1162#117C22×D7914yes—
1163#117C22×D7914yes—
1164#117C22×D7912yes—
1165#117C22×D7914yes—
1166#117C22×D7918yes—
1167C2×C4⋊C4—792no—
1168C2×C4⋊C4—792no—
1169C2×C4⋊C4—792no—
1170C2×C4⋊C4—792no—
1171C2×C4⋊C4—791no—
1172C2×C4⋊C4—791no—
1173C2×C4⋊C4—798no—
1174C2×C4⋊C4—798no—
1175C2×C4⋊C4—794no—
1176C2×C4⋊C4C22×D7911yescharacteristic
1177C2×C4⋊C4C22×D7911yescharacteristic
1178C2×C4⋊C4C22×D7914yes—
1179C2×C22⋊C4—791no—
1180C2×C22⋊C4—791no—
1181C2×C22⋊C4C22×D7912yes—
1182C2×C42—791no—
1183C2×C42—792no—
1184C2×C42—792no—
1185C2×C42—792no—
1186C2×C42—791no—
1187C2×C42—792no—
1188C2×C42—794no—
1189C2×C42—798no—
1190C2×C42—794no—
1191C2×C42—798no—
1192C2×C42C22×D7912yes—
1193C24C23×D7911yescharacteristic
1194#41—28no—
1195#41—15816no—
1196#41—15832no—
1197#41—15816no—
1198#41—1588no—
1199C2×Q8—798no—
1200C2×Q8—794no—
1201C2×Q8—794no—
1202C2×Q8—794no—
1203C2×Q8—794no—
1204C2×Q8—794no—
1205C2×Q8—794no—
1206C2×Q8—794no—
1207C2×Q8—798no—
1208C2×Q8—792no—
1209C2×Q8—1588no—
1210C2×Q8—15816no—
1211C2×Q8—15816no—
1212C2×Q8—15816no—
1213C2×Q8—15816no—
1214C2×Q8—1584no—
1215C2×Q8C23×D7912yes—
1216C2×Q8C23×D7914yes—
1217C2×D4—794no—
1218C2×D4—794no—
1219C2×D4—794no—
1220C2×D4—794no—
1221C2×D4—794no—
1222C2×D4—798no—
1223C2×D4—794no—
1224C2×D4—792no—
1225C2×D4C23×D7914yes—
1226C2×D4C23×D7912yes—
1227C2×D4C23×D7914yes—
1228C2×D4C23×D7914yes—
1229C2×D4C23×D7914yes—
1230C22×C4—24no—
1231C22×C4—791no—
1232C22×C4—791no—
1233C22×C4—791no—
1234C22×C4—791no—
1235C22×C4—794no—
1236C22×C4—794no—
1237C22×C4—794no—
1238C22×C4—794no—
1239C22×C4—798no—
1240C22×C4—792no—
1241C22×C4—792no—
1242C22×C4—798no—
1243C22×C4—798no—
1244C22×C4—798no—
1245C22×C4—794no—
1246C22×C4—1588no—
1247C22×C4C23×D7914yes—
1248C22×C4C23×D7911yescharacteristic
1249C22×C4C23×D7912yes—
1250C22×C4C23×D7912yes—
1251C22×C4C23×D7912yes—
1252C22×C4C23×D7912yes—
1253C22×C4C23×D7918yes—
1254C22×C4C23×D7911yescharacteristic
1255C4⋊C4—794no—
1256C4⋊C4—794no—
1257C4⋊C4—798no—
1258C4⋊C4—794no—
1259C4⋊C4—798no—
1260C4⋊C4—798no—
1261C4⋊C4—794no—
1262C4⋊C4—798no—
1263C4⋊C4—794no—
1264C4⋊C4—798no—
1265C4⋊C4—794no—
1266C4⋊C4—798no—
1267C4⋊C4—794no—
1268C4⋊C4—798no—
1269C4⋊C4—794no—
1270C4⋊C4—794no—
1271C4⋊C4—794no—
1272C4⋊C4—794no—
1273C4⋊C4—798no—
1274C4⋊C4—794no—
1275C4⋊C4—794no—
1276C4⋊C4—794no—
1277C4⋊C4—792no—
1278C4⋊C4—794no—
1279C4⋊C4—791no—
1280C4⋊C4—791no—
1281C4⋊C4—792no—
1282C4⋊C4—792no—
1283C4⋊C4—791no—
1284C4⋊C4—791no—
1285C4⋊C4—792no—
1286C4⋊C4—794no—
1287C4⋊C4—798no—
1288C4⋊C4—794no—
1289C4⋊C4—794no—
1290C4⋊C4—794no—
1291C4⋊C4—798no—
1292C4⋊C4—794no—
1293C4⋊C4C23×D7914yes—
1294C4⋊C4C23×D7918yes—
1295C4⋊C4C23×D7912yes—
1296C4⋊C4C23×D7914yes—
1297C4⋊C4C23×D7918yes—
1298C4⋊C4C23×D7912yes—
1299C4⋊C4C23×D7914yes—
1300C4⋊C4C23×D7914yes—
1301C4⋊C4C23×D7914yes—
1302C4⋊C4C23×D7914yes—
1303C22⋊C4—792no—
1304C22⋊C4—792no—
1305C22⋊C4—792no—
1306C22⋊C4—792no—
1307C22⋊C4—794no—
1308C22⋊C4—794no—
1309C22⋊C4—794no—
1310C22⋊C4—794no—
1311C22⋊C4—798no—
1312C22⋊C4—794no—
1313C22⋊C4—794no—
1314C22⋊C4—798no—
1315C22⋊C4—794no—
1316C22⋊C4—794no—
1317C22⋊C4—794no—
1318C22⋊C4—798no—
1319C22⋊C4—794no—
1320C22⋊C4—798no—
1321C22⋊C4—794no—
1322C22⋊C4—798no—
1323C22⋊C4—798no—
1324C22⋊C4—794no—
1325C22⋊C4—794no—
1326C22⋊C4C23×D7918yes—
1327C22⋊C4C23×D7914yes—
1328C22⋊C4C23×D7918yes—
1329C22⋊C4C23×D7918yes—
1330C22⋊C4C23×D7914yes—
1331C22⋊C4C23×D7914yes—
1332C22⋊C4C23×D7914yes—
1333C22⋊C4C23×D7914yes—
1334C42—798no—
1335C42—792no—
1336C42—792no—
1337C42—794no—
1338C42—794no—
1339C42—794no—
1340C42—794no—
1341C42—794no—
1342C42—794no—
1343C42—798no—
1344C42—798no—
1345C42—798no—
1346C42—798no—
1347C42—794no—
1348C42—794no—
1349C42—792no—
1350C42—794no—
1351C42—792no—
1352C42C23×D7918yes—
1353C42C23×D7914yes—
1354C42C23×D7914yes—
1355C42C23×D7914yes—
1356C23—22no—
1357C23—41no—
1358C23—41no—
1359C23—794no—
1360C23C24×D7912yes—
1361C23C24×D7914yes—
1362C23C24×D7911yescharacteristic
1363Q8—24no—
1364Q8—44no—
1365Q8—3164no—
1366Q8—3164no—
1367Q8—3164no—
1368Q8—7916no—
1369Q8—1588no—
1370Q8—1588no—
1371Q8—15816no—
1372Q8—1588no—
1373Q8—1584no—
1374D4—28no—
1375D4—24no—
1376D4—44no—
1377D4—44no—
1378D4—44no—
1379D4—3164no—
1380D4—3164no—
1381D4—3164no—
1382D4—3164no—
1383D4—3164no—
1384D4—15816no—
1385D4—1588no—
1386D4—1584no—
1387C2×C4—22no—
1388C2×C4—24no—
1389C2×C4—24no—
1390C2×C4—28no—
1391C2×C4—42no—
1392C2×C4—48no—
1393C2×C4—42no—
1394C2×C4—3168no—
1395C2×C4—3164no—
1396C2×C4—3164no—
1397C2×C4—3161no—
1398C2×C4—3161no—
1399C2×C4—3164no—
1400C2×C4—3164no—
1401C2×C4—3161no—
1402C2×C4—3161no—
1403C2×C4—794no—
1404C2×C4—798no—
1405C2×C4—792no—
1406C2×C4—791no—
1407C2×C4—791no—
1408C2×C4—791no—
1409C2×C4—794no—
1410C2×C4—792no—
1411C2×C4—791no—
1412C2×C4—794no—
1413C2×C4—794no—
1414C2×C4—794no—
1415C2×C4—15816no—
1416C2×C4—15816no—
1417C2×C4—15816no—
1418C2×C4—1584no—
1419C2×C4—1588no—
1420C2×C4#41×D7914yes—
1421C2×C4C24×D7914yes—
1422C2×C4C24×D7914yes—
1423C2×C4C24×D7914yes—
1424C2×C4C24×D7914yes—
1425C2×C4C24×D7914yes—
1426C2×C4C24×D7911yescharacteristic
1427C2×C4C24×D7911yescharacteristic
1428C2×C4C24×D7912yes—
1429C22—21no—
1430C22—21no—
1431C22—22no—
1432C22—24no—
1433C22—24no—
1434C22—24no—
1435C22—22no—
1436C22—22no—
1437C22—44no—
1438C22—1584no—
1439C22—1584no—
1440C22—1584no—
1441C22C2×#41×D7912yes—
1442C22C25×D7911yescharacteristic
1443C4—21no—
1444C4—21no—
1445C4—24no—
1446C4—24no—
1447C4—24no—
1448C4—24no—
1449C4—24no—
1450C4—798no—
1451C4—1584no—
1452C4—1584no—
1453C4—1581no—
1454C4—1582no—
1455C4—1581no—
1456C4—1584no—
1457C4—1581no—
1458C4—1582no—
1459C4—1584no—
1460C4—1581no—
1461C4C2×#41×D7914yes—
1462C2—22no—
1463C2—42no—
1464C2—44no—
1465C2—3164no—
1466C2C22×#41×D7911yescharacteristic
1467C2#2377821311yescharacteristic
1468C2#2377821311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3493C2
hypercenter#3493D79
hypocenterC79#62850
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3493

Complements

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

NH ≅ G/Ntype
1. #23777508C2semidirect
2. #23777500C2semidirect
3. #23777495C2semidirect
4. #23777489C2semidirect
5. #23777416C2semidirect
6. #23777410C2semidirect
7. #23777392C2semidirect
8. #23777384C2semidirect
9. #23777258C2semidirect
10. #23777256C2semidirect
11. #23777208C2semidirect
12. #23777169C2semidirect
13. #23777120C2semidirect
14. #23777115C2semidirect
15. #23777047C2semidirect
16. #23776834C2semidirect
17. #23776829C2semidirect
18. #23776828C2semidirect
19. #23776788C2semidirect
20. #23776782C2semidirect
21. #23776611C2semidirect
22. C2×#19099040C2semidirect
23. C79×#3493C2semidirect
26. #19099296C22semidirect
27. #19099296C22semidirect
28. #19099295C22semidirect
29. #19099293C22semidirect
30. #19099291C22semidirect
31. #19099290C22semidirect
32. #19099290C22semidirect
33. #19099290C22semidirect
34. #19099289C22semidirect
35. #19099288C22semidirect
36. #19099285C22semidirect
37. #19099285C22semidirect
38. #19099283C22semidirect
40. #19099282C22semidirect
42. #19099281C22semidirect
43. #19099281C22semidirect
45. #19099280C22semidirect
49. #19099272C22semidirect
50. #19099269C22semidirect
51. #19099268C22semidirect
56. #19099252C22semidirect
59. #19099249C22semidirect
60. #19099248C22semidirect
61. #19099246C22semidirect
62. #19099231C22semidirect
67. #19099226C22semidirect
68. #19099223C22semidirect
73. #19099219C22semidirect
76. #19099187C22semidirect
82. #19099180C22semidirect
83. #19099179C22semidirect
85. #19099177C22semidirect
86. #19099176C22semidirect
89. #19099173C22semidirect
90. #19099172C22semidirect
92. #19099170C22semidirect
109. #19099118C22semidirect
110. #19099117C22semidirect
112. #19099116C22semidirect
114. #19099115C22semidirect
118. #19099098C22semidirect
125. #19099094C22semidirect
129. #19099093C22semidirect
131. #19099091C22semidirect
136. #19099044C22semidirect
138. #19099042C22semidirect
144. #19099040C22semidirect
145. #19099039C22semidirect
148. #19099031C22semidirect
150. C4×#11929623C22semidirect
157. C2×#14579126C22semidirect
158. C4×Q8×D79C22semidirect
749. #3493D79semidirect
758. C79#62850semidirect

Maximal subgroups

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

subgroupindex
#237775082
#237775002
#237774952
#237774892
#237774162
#237774102
#237773922
#237773842
#237772582
#237772562
#237772082
#237771692
#237771202
#237771152
#237770472
#237768342
#237768292
#237768282
#237767882
#237767822
#237766112
C2×#190990402
C79×#34932
#6285079