Finite Group Databasebeta

← #35201905

Subgroups — #35201905

Order 20224.

6916 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777970C212yesmaximal, complemented
2#23777950C218yesmaximal, complemented
3#23777928C214yesmaximal, complemented
4#23777845C214yesmaximal, complemented
5#23777827C212yesmaximal, complemented
6#23777814C211yesmaximal, characteristic, complemented
7#23777755C212yesmaximal, complemented
8#23777739C214yesmaximal, complemented
9#23777693C214yesmaximal, complemented
10#23777649C212yesmaximal, complemented
11#23777600C218yesmaximal, complemented
12#23777569C214yesmaximal, complemented
13#563×D79C212yesmaximal, complemented
14#23777472C214yesmaximal, complemented
15#23777380C212yesmaximal, complemented
16#23777187C211yesmaximal, characteristic, complemented
17#23777180C212yesmaximal, complemented
18#23777072C214yesmaximal, complemented
19#23777042C212yesmaximal, complemented
20C79×#3529C211yesmaximal, characteristic, complemented
21C2×#14579208C2212yescomplemented
22C2×#14579208C2211yescharacteristic, complemented
23C2×#14579207C2211yescharacteristic
24C22×#11929624C2212yescomplemented
25#19099317C2214yescomplemented
26#19099316C2214yescomplemented
27#19099316C2214yescomplemented
28#19099315C2218yescomplemented
29#19099315C2218yescomplemented
30#19099314C2218yescomplemented
31#19099313C2212yescomplemented
32#19099313C2212yescomplemented
33#19099312C2214yescomplemented
34#19099308C2218yescomplemented
35#19099307C2214yescomplemented
36#19099300C2214yescomplemented
37#19099299C2212yescomplemented
38#19099293C2212yescomplemented
39#19099292C2212yescomplemented
40#19099286C2214yescomplemented
41#19099283C2214yescomplemented
42#19099275C2214yescomplemented
43#19099273C2212yescomplemented
44#19099271C2218yescomplemented
45#19099270C2212yescomplemented
46#19099267C2218yescomplemented
47#19099265C2218yescomplemented
48#19099260C2214yescomplemented
49#19099259C2214yescomplemented
50#19099258C2218yescomplemented
51#19099256C2218yescomplemented
52#19099253C2214yescomplemented
53#19099253C2214yescomplemented
54#19099249C2218yescomplemented
55#19099247C2214yescomplemented
56#19099245C2218yescomplemented
57#19099244C2214yescomplemented
58#19099244C2214yescomplemented
59#19099243C2214yescomplemented
60#19099243C2218yescomplemented
61#19099241C2218yescomplemented
62#19099236C2218yescomplemented
63D4×Dic158C2214yescomplemented
64D4×Dic158C2214yescomplemented
65D4×Dic158C2214yescomplemented
66D4×Dic158C2214yescomplemented
67#19099222C2214yescomplemented
68#19099222C2214yescomplemented
69#19099222C2214yescomplemented
70#19099218C2214yes—
71#19099218C2214yescomplemented
72#19099218C2212yescomplemented
73#19099218C2214yescomplemented
74#19099215C2218yescomplemented
75#19099213C2218yescomplemented
76#19099213C2218yescomplemented
77#19099211C2218yescomplemented
78#19099211C2218yescomplemented
79#19099210C2218yes—
80#19099209C2214yes—
81#19099209C2214yescomplemented
82#19099209C2214yescomplemented
83#19099202C2218yescomplemented
84#19099200C2218yescomplemented
85#19099200C2218yescomplemented
86#19099193C2218yescomplemented
87#19099192C2218yescomplemented
88#19099188C2214yescomplemented
89#19099184C2214yescomplemented
90#19099182C2218yescomplemented
91#19099181C2218yescomplemented
92#19099180C2218yescomplemented
93#19099179C2218yescomplemented
94#19099175C2214yescomplemented
95#19099175C2214yescomplemented
96#19099163C2218yescomplemented
97#19099159C2218yescomplemented
98#19099158C2218yescomplemented
99#19099157C2218yescomplemented
100#19099157C2218yescomplemented
101#19099156C2218yescomplemented
102#19099156C2218yescomplemented
103#19099150C2214yescomplemented
104#19099148C2218yescomplemented
105#19099148C2218yescomplemented
106#19099145C2218yescomplemented
107#19099145C2218yescomplemented
108#19099142C2218yescomplemented
109#19099141C2214yescomplemented
110#19099139C2212yescomplemented
111#19099139C2214yescomplemented
112#19099138C2212yescomplemented
113#19099136C2218yescomplemented
114#19099134C2212yes—
115#19099134C2211yescharacteristic
116#19099134C2212yescomplemented
117#19099134C2212yescomplemented
118#19099133C2214yescomplemented
119#19099133C2214yescomplemented
120#19099127C2211yescharacteristic, complemented
121#19099126C2212yes—
122#19099123C2214yes—
123#19099123C2214yescomplemented
124#19099120C2212yescomplemented
125#19099112C2212yescomplemented
126#19099111C2214yescomplemented
127C2×#14579161C2212yescomplemented
128C4⋊Q8×D79C2214yescomplemented
129#19099097C2214yescomplemented
130#19099096C2218yescomplemented
131#19099092C2214yescomplemented
132#126×D79C2218yescomplemented
133#125×D79C2214yescomplemented
134C2×#14579149C2211yescharacteristic, complemented
135#124×D79C2212yes—
136#19099074C2212yescomplemented
137#19099073C2218yescomplemented
138#123×D79C2214yes—
139#123×D79C2214yescomplemented
140C2×#14579140C2214yescomplemented
141C22⋊Q8×D79C2218yescomplemented
142#19099043C2214yescomplemented
143#19099037C2212yescomplemented
144C4×#11929624C2211yescharacteristic, complemented
145C4×#11929624C2212yescomplemented
146#563×C79C2212yescomplemented
147#563×C79C2211yescharacteristic, complemented
148#562×C79C2214yescomplemented
149#562×C79C2212yescomplemented
150H(3,𝔽4)×C79C2211yescharacteristic, complemented
151#560×C79C2212yescomplemented
152#560×C79C2214yescomplemented
153#532×C79C2211yescharacteristic
154#532×C79C2212yescomplemented
155#529×C79C2214yescomplemented
156#529×C79C2212yescomplemented
157#525×C79C2212yes—
158#525×C79C2214yescomplemented
159#14579208—48no—
160#14579208—44no—
161#14579207—44no—
162C2×#11929625C2312yes—
163C2×#11929624—48no—
164C2×#11929624C2311yescharacteristic
165C2×#11929624C2312yes—
166C2×#11929624C2314yes—
167C2×#11929624C2318yes—
168C2×#11929624C2312yes—
169C2×#11929624C2314yes—
170C2×#11929623C2318yes—
171C2×#11929623C2314yes—
172C2×#11929623C2314yes—
173C2×#11929623C2312yes—
174C22×Dic158C2314yes—
175C22×Dic158C2312yes—
176C22×Dic158C2312yes—
177C22×Dic158C2312yes—
178C22×Dic158C2311yescharacteristic
179C2×Q8×D79C2314yes—
180C2×Q8×D79C2312yes—
181C22×D316C2312yes—
182C22×D316C2311yescharacteristic
183C22×C22⋊D79C2314yes—
184C2×D4×D79C2314yes—
185C2×D4×D79C2312yes—
186C22×C4×D79C2314yes—
187#14579161C2312yes—
188#14579161C2314yes—
189#14579161C2314yes—
190#14579161C2314yes—
191#14579161C2312yes—
192#14579161C2314yes—
193#14579160C2318yes—
194#14579160C2318yes—
195#14579160C2318yes—
196#14579160C2318yes—
197#14579159C2312yes—
198#14579159C2314yes—
199#14579159C2314yes—
200#14579159C2314yes—
201#14579157C2312yes—
202#14579156C2318yes—
203#14579156C2318yes—
204#14579156C2318yes—
205#14579156C2318yes—
206#14579155C2318yes—
207#14579154C2318yes—
208#14579154C2318yes—
209#14579154C2318yes—
210#14579154C2318yes—
211#14579154C2318yes—
212#14579154C2318yes—
213#14579154C2318yes—
214#14579154C2318yes—
215#14579153C2314yes—
216#14579153C2314yes—
217#14579152C2314yes—
218#14579152C2318yes—
219#14579152C2314yes—
220#14579151C2318yes—
221#14579151C2318yes—
222#14579151C2318yes—
223#14579151C2318yes—
224#14579151C2318yes—
225#14579151C2318yes—
226#14579150C2312yes—
227#14579149C2312yes—
228#14579149C2314yes—
229#14579149C2314yes—
230#14579149C2312yes—
231#14579148C2314yes—
232#14579148C2318yes—
233#14579148C2314yes—
234#14579148C2314yes—
235#14579148C2312yes—
236#14579147C2318yes—
237#14579147C2318yes—
238#14579147C2318yes—
239#14579147C2318yes—
240#14579146C2318yes—
241#14579146C2318yes—
242#14579146C2318yes—
243#14579145C2318yes—
244#14579145C2314yes—
245#14579145C2318yes—
246#14579145C2314yes—
247#14579144C2318yes—
248#14579144C2314yes—
249#14579143C2318yes—
250#14579143C2318yes—
251#14579143C2318yes—
252#14579143C2318yes—
253#14579143C2318yes—
254#14579143C2318yes—
255#14579143C2318yes—
256#14579143C2318yes—
257#14579143C2318yes—
258#14579142C2318yes—
259#14579142C2318yes—
260#14579142C2318yes—
261#14579142C2314yes—
262#14579142C2314yes—
263#14579142C2314yes—
264#14579142C2314yes—
265#14579142C2314yes—
266#14579141C2318yes—
267#14579141C2318yes—
268#14579141C2318yes—
269#14579140C2318yes—
270#14579140C2314yes—
271#14579140C2314yes—
272#14579140C2314yes—
273#14579140C2314yes—
274#14579140C2314yes—
275#14579140C2314yes—
276#14579140C2314yes—
277#14579140C2314yes—
278#14579140C2318yes—
279#14579139C2318yes—
280#14579139C2318yes—
281#14579139C2318yes—
282#14579139C2318yes—
283#14579139C2318yes—
284#14579138C2318yes—
285#14579138C2318yes—
286#14579138C2318yes—
287#14579138C2318yes—
288#14579138C2318yes—
289#14579138C2318yes—
290#14579138C2318yes—
291#14579138C2318yes—
292#14579138C2318yes—
293#14579137C2318yes—
294#14579137C2314yes—
295#14579137C2318yes—
296#14579135C2314yes—
297#14579135C2314yes—
298#14579134C2318yes—
299#14579134C2318yes—
300#14579134C2318yes—
301#14579133C2318yes—
302#14579133C2318yes—
303#14579133C2318yes—
304#14579133C2318yes—
305#14579133C2318yes—
306#14579133C2318yes—
307#14579132C2318yes—
308#14579132C2314yes—
309#14579132C2318yes—
310#14579132C2318yes—
311#14579132C2318yes—
312#14579130C2314yes—
313#14579129C2314yes—
314#14579129C2318yes—
315#14579129C2318yes—
316#14579129C2318yes—
317Q8×Dic79C2314yes—
318C4×Dic158C2312yes—
319C4×Dic158C2314yes—
320C4×Dic158C2314yes—
321C4×Dic158C2314yes—
322C4×Dic158C2314yes—
323#14579126C2318yes—
324C4×D316C2314yes—
325C4×D316C2314yes—
326C4×D316C2312yes—
327D4×Dic79C2314yes—
328D4×Dic79C2318yes—
329D4×Dic79C2318yes—
330D4×Dic79C2318yes—
331D4×Dic79C2318yes—
332#14579123C2318yes—
333C4×C22⋊D79C2318yes—
334C4×C22⋊D79C2318yes—
335C4×C22⋊D79C2314yes—
336C4×C22⋊D79C2318yes—
337(C22⋊D79)⋊C4C2318yes—
338(C22⋊D79)⋊C4C2318yes—
339(C22⋊D79)⋊C4C2318yes—
340(C22⋊D79)⋊C4C2318yes—
341(C22⋊D79)⋊C4C2318yes—
342(C22⋊D79)⋊C4C2318yes—
343#14579120C2314yes—
344#14579120C2311yescharacteristic
345#14579120C2312yes—
346#14579120C2312yes—
347#14579119C2318yes—
348#14579119C2318yes—
349#14579118C2312yes—
350#14579118C2318yes—
351#14579118C2314yes—
352#14579117C2318yes—
353#14579117C2318yes—
354C2×C4⋊Dic79C2314yes—
355C2×C4⋊Dic79C2318yes—
356C2×Dic79⋊C4C2318yes—
357C4⋊C4×D79C2318yes—
358C4⋊C4×D79C2318yes—
359C4⋊C4×D79C2314yes—
360C4⋊C4×D79C2318yes—
361C4⋊C4×D79C2318yes—
362C4⋊C4×D79C2314yes—
363C2×C22⋊Dic79C2318yes—
364C2×(C2×D79)⋊C4C2314yes—
365C22⋊C4×D79C2314yes—
366C22⋊C4×D79C2318yes—
367C22⋊C4×D79C2318yes—
368C22⋊C4×D79C2318yes—
369C22⋊C4×D79C2314yes—
370C42×D79C2312yes—
371C42×D79C2314yes—
372C2×#41×C79C2311yescharacteristic
373C2×#41×C79C2312yes—
374C2×#41×C79C2311yescharacteristic
375C23×C4×C79C2312yes—
376C4⋊Q8×C79C2311yescharacteristic
377C4⋊Q8×C79C2312yes—
378#127×C79C2311yescharacteristic
379#127×C79C2312yes—
380#126×C79C2314yes—
381#126×C79C2314yes—
382#126×C79C2314yes—
383#125×C79C2314yes—
384#125×C79C2312yes—
385#124×C79C2314yes—
386#124×C79C2312yes—
387#124×C79C2312yes—
388#124×C79C2311yescharacteristic
389#124×C79C2311yescharacteristic
390#124×C79C2312yes—
391#123×C79C2314yes—
392#123×C79C2314yes—
393#123×C79C2314yes—
394#123×C79C2314yes—
395#123×C79C2314yes—
396#123×C79C2312yes—
397#123×C79C2312yes—
398C22⋊Q8×C79C2314yes—
399C22⋊Q8×C79C2314yes—
400C22⋊Q8×C79C2312yes—
401C22⋊Q8×C79C2314yes—
402C22⋊Q8×C79C2314yes—
403#121×C79C2314yes—
404#121×C79C2314yes—
405#121×C79C2314yes—
406#121×C79C2312yes—
407#121×C79C2314yes—
408#121×C79C2314yes—
409#121×C79C2314yes—
410#121×C79C2314yes—
411#120×C79C2314yes—
412#120×C79C2314yes—
413#120×C79C2312yes—
414#120×C79C2312yes—
415C4×Q8×C79C2312yes—
416C4×D4×C79C2314yes—
417C4×D4×C79C2314yes—
418C4×D4×C79C2314yes—
419C4×D4×C79C2312yes—
420C4×D4×C79C2314yes—
421#117×C79C2312yes—
422#117×C79C2314yes—
423C2×C42×C79C2311yescharacteristic
424C2×C42×C79C2312yes—
425C23×D79C2414yes—
426C23×D79C2412yes—
427#11929625—44no—
428#11929624—216no—
429#11929624—24no—
430#11929624—28no—
431#11929624—416no—
432#11929624—48no—
433#11929624—44no—
434#11929623—48no—
435#11929623—48no—
436#11929623—416no—
437#11929623—44no—
438C2×Dic158—44no—
439C2×Dic158—42no—
440C2×Dic158—44no—
441C2×Dic158—44no—
442C2×Dic158—48no—
443C2×Dic158C2412yes—
444C2×Dic158C2414yes—
445C2×Dic158C2411yescharacteristic
446C2×Dic158C2412yes—
447C2×Dic158C2418yes—
448C2×Dic158C2414yes—
449C2×Dic158C2414yes—
450C2×Dic158C2414yes—
451C2×Dic158C2414yes—
452Q8×D79—48no—
453Q8×D79—44no—
454C2×D316—28no—
455C2×D316—42no—
456C2×D316C2412yes—
457C2×D316C2414yes—
458C2×D316C2412yes—
459C2×D316C2411yescharacteristic
460C2×C22⋊D79—48no—
461C2×C22⋊D79C2414yes—
462C2×C22⋊D79C2418yes—
463C2×C22⋊D79C2412yes—
464C2×C22⋊D79C2418yes—
465C2×C22⋊D79C2414yes—
466C2×C22⋊D79C2418yes—
467C2×C22⋊D79C2418yes—
468D4×D79—48no—
469D4×D79—44no—
470C22×Dic79C2412yes—
471C22×Dic79C2418yes—
472C22×Dic79C2414yes—
473C22×Dic79C2414yes—
474C22×Dic79C2414yes—
475C22×Dic79C2418yes—
476C2×C4×D79—48no—
477C2×C4×D79C2414yes—
478C2×C4×D79C2418yes—
479C2×C4×D79C2412yes—
480C2×C4×D79C2418yes—
481C2×C4×D79C2414yes—
482C2×C4×D79C2414yes—
483C2×C4×D79C2418yes—
484C2×C4×D79C2418yes—
485C4⋊Dic79C2418yes—
486C4⋊Dic79C2418yes—
487C4⋊Dic79C2418yes—
488C4⋊Dic79C2418yes—
489C4⋊Dic79C2414yes—
490C4⋊Dic79C2414yes—
491C4⋊Dic79C2412yes—
492C4⋊Dic79C2418yes—
493C4⋊Dic79C2414yes—
494C4⋊Dic79C2414yes—
495Dic79⋊C4C2418yes—
496Dic79⋊C4C2418yes—
497Dic79⋊C4C2418yes—
498Dic79⋊C4C2418yes—
499Dic79⋊C4C2418yes—
500Dic79⋊C4C2418yes—
501Dic79⋊C4C2418yes—
502Dic79⋊C4C2418yes—
503Dic79⋊C4C2418yes—
504Dic79⋊C4C2418yes—
505Dic79⋊C4C2418yes—
506Dic79⋊C4C2414yes—
507Dic79⋊C4C2418yes—
508C22⋊Dic79C2414yes—
509C22⋊Dic79C2418yes—
510C22⋊Dic79C2418yes—
511C22⋊Dic79C2418yes—
512C22⋊Dic79C2418yes—
513C22⋊Dic79C2418yes—
514C22⋊Dic79C2412yes—
515C22⋊Dic79C2414yes—
516C22⋊Dic79C2418yes—
517C22⋊Dic79C2418yes—
518(C2×D79)⋊C4C2418yes—
519(C2×D79)⋊C4C2418yes—
520(C2×D79)⋊C4C2418yes—
521(C2×D79)⋊C4C2418yes—
522(C2×D79)⋊C4C2418yes—
523(C2×D79)⋊C4C2418yes—
524(C2×D79)⋊C4C2418yes—
525(C2×D79)⋊C4C2418yes—
526(C2×D79)⋊C4C2414yes—
527C4×Dic79C2412yes—
528C4×Dic79C2418yes—
529C4×Dic79C2414yes—
530C4×Dic79C2414yes—
531C4×Dic79C2414yes—
532C4×Dic79C2418yes—
533C4×Dic79C2418yes—
534C24×C79C2412yes—
535#41×C79—42no—
536#41×C79—42no—
537#41×C79—44no—
538C2×Q8×C79C2412yes—
539C2×Q8×C79C2411yescharacteristic
540C2×Q8×C79C2411yescharacteristic
541C2×Q8×C79C2412yes—
542C2×D4×C79C2412yes—
543C2×D4×C79C2414yes—
544C2×D4×C79C2412yes—
545C2×D4×C79C2411yescharacteristic
546C2×D4×C79C2414yes—
547C2×D4×C79C2412yes—
548C2×D4×C79C2414yes—
549C2×D4×C79C2414yes—
550C2×D4×C79C2414yes—
551C2×D4×C79C2411yescharacteristic
552C2×D4×C79C2412yes—
553C22×C4×C79—44no—
554C22×C4×C79C2412yes—
555C22×C4×C79C2414yes—
556C22×C4×C79C2411yescharacteristic
557C22×C4×C79C2412yes—
558C22×C4×C79C2414yes—
559C22×C4×C79C2412yes—
560C22×C4×C79C2414yes—
561C22×C4×C79C2412yes—
562C4⋊C4×C79C2414yes—
563C4⋊C4×C79C2414yes—
564C4⋊C4×C79C2414yes—
565C4⋊C4×C79C2414yes—
566C4⋊C4×C79C2414yes—
567C4⋊C4×C79C2414yes—
568C4⋊C4×C79C2412yes—
569C4⋊C4×C79C2414yes—
570C4⋊C4×C79C2412yes—
571C4⋊C4×C79C2414yes—
572C22⋊C4×C79C2412yes—
573C22⋊C4×C79C2414yes—
574C22⋊C4×C79C2412yes—
575C22⋊C4×C79C2414yes—
576C22⋊C4×C79C2414yes—
577C22⋊C4×C79C2414yes—
578C22⋊C4×C79C2414yes—
579C22⋊C4×C79C2414yes—
580C22⋊C4×C79C2414yes—
581C22⋊C4×C79C2414yes—
582C22⋊C4×C79C2414yes—
583C22⋊C4×C79C2414yes—
584C22⋊C4×C79C2414yes—
585C42×C79C2414yes—
586C42×C79C2412yes—
587C42×C79C2411yescharacteristic
588C42×C79C2412yes—
589C42×C79C2412yes—
590C42×C79C2411yescharacteristic
591C23×C79—42no—
592C23×C79—44no—
593C23×C79C2512yes—
594C23×C79C2511yescharacteristic
595C23×C79C2514yes—
596C23×C79C2512yes—
597C22×D79—28no—
598C22×D79—48no—
599C22×D79—42no—
600C22×D79—44no—
601C22×D79C2514yes—
602C22×D79C2512yes—
603Q8×C79—42no—
604Q8×C79—41no—
605Q8×C79—41no—
606Q8×C79—42no—
607D4×C79—42no—
608D4×C79—41no—
609D4×C79—44no—
610D4×C79—42no—
611D4×C79—42no—
612D4×C79—41no—
613D4×C79—44no—
614D4×C79—44no—
615D4×C79—44no—
616D4×C79—42no—
617D4×C79—44no—
618C2×C4×C79—24no—
619C2×C4×C79—22no—
620C2×C4×C79—24no—
621C2×C4×C79—28no—
622C2×C4×C79—42no—
623C2×C4×C79—44no—
624C2×C4×C79—42no—
625C2×C4×C79—44no—
626C2×C4×C79C2512yes—
627C2×C4×C79C2512yes—
628C2×C4×C79C2514yes—
629C2×C4×C79C2514yes—
630C2×C4×C79C2512yes—
631C2×C4×C79C2511yescharacteristic
632C2×C4×C79C2512yes—
633C2×C4×C79C2514yes—
634C2×C4×C79C2511yescharacteristic
635C22⋊D79—24no—
636C22⋊D79—216no—
637C22⋊D79—28no—
638C22⋊D79—44no—
639C22⋊D79—48no—
640C22⋊D79—48no—
641C22⋊D79—48no—
642C2×Dic79—44no—
643C2×Dic79—48no—
644C2×Dic79—44no—
645C2×Dic79—44no—
646C2×Dic79—48no—
647C2×Dic79—42no—
648C2×Dic79C2518yes—
649C2×Dic79C2514yes—
650C2×Dic79C2514yes—
651C2×Dic79C2518yes—
652C2×Dic79C2512yes—
653D316—28no—
654D316—24no—
655D316—42no—
656D316H(5,𝔽2)14yes—
657C4×D79—216no—
658C4×D79—24no—
659C4×D79—28no—
660C4×D79—48no—
661C4×D79—44no—
662C4×D79—48no—
663C4×D79—48no—
664C4×D79—44no—
665Dic158—24no—
666Dic158—28no—
667Dic158—22no—
668Dic158—44no—
669Dic158—44no—
670Dic158—48no—
671Dic158—42no—
672Dic158—44no—
673Dic158—44no—
674C22×C79—24no—
675C22×C79—21no—
676C22×C79—22no—
677C22×C79—22no—
678C22×C79—24no—
679C22×C79—24no—
680C22×C79—22no—
681C22×C79—24no—
682C22×C79—24no—
683C22×C79—84no—
684C22×C79C2611yescharacteristic
685C2×D79—24no—
686C2×D79—24no—
687C2×D79—28no—
688C2×D79—88no—
689C2×D79—162no—
690C2×D79C2×H(5,𝔽2)14yes—
691C4×C79—24no—
692C4×C79—22no—
693C4×C79—22no—
694C4×C79—21no—
695C4×C79—22no—
696C4×C79—24no—
697C4×C79—22no—
698C4×C79—24no—
699C4×C79C2×H(5,𝔽2)12yes—
700Dic79—22no—
701Dic79—28no—
702Dic79—24no—
703Dic79—24no—
704Dic79—28no—
705#63063—791nomaximal, Sylow
706C2×C79—42no—
707C2×C79—41no—
708C2×C79—42no—
709C2×C79—44no—
710C2×C79C22×H(5,𝔽2)11yescharacteristic
711C2×C792−1+612yes—
712D79—24no—
713D79—44no—
714#3561—792no—
715#3560—798no—
716#3559—794no—
717#3552—794no—
718#3551—792no—
719#3550—791no—
720#3545—792no—
721#3544—794no—
722#3541—794no—
723#3538—792no—
724#3535—798no—
725#3533—794no—
726#3529D7911yescharacteristic, complemented
727C2×#563—792no—
728#3521—794no—
729#3515—792no—
730#3500—791no—
731#3499—792no—
732#3489—794no—
733#3485—792no—
734C79#6306311yescharacteristic, complemented, Sylow
735C2×2−1+4—792no—
736C2×2−1+4—791no—
737C2×H(5,𝔽2)—791no—
738C22×#41—792no—
739#563—794no—
740#563—798no—
741#563—798no—
742#563—794no—
743#563—792no—
744#563—792no—
745#563—794no—
746#563—794no—
747#563—798no—
748#563C2×D7911yescharacteristic, complemented
749#563C2×D7912yescomplemented
750#562—794no—
751#562—798no—
752#562C2×D7914yescomplemented
753#562C2×D7912yescomplemented
754H(3,𝔽4)C2×D7911yescharacteristic, complemented
755#560—794no—
756#560C2×D7912yescomplemented
757#560C2×D7914yescomplemented
758#559—792no—
759Q82—792no—
760#557—792no—
761#556—794no—
762#556—794no—
763#555—794no—
764#554—798no—
765#554—798no—
766#554—792no—
767#554—792no—
768#553—798no—
769#553—798no—
770#553—794no—
771#553—798no—
772#553—794no—
773#552—798no—
774#552—798no—
775#552—794no—
776#552—794no—
777#552—794no—
778#551—798no—
779#551—794no—
780#551—798no—
781#551—798no—
782#551—794no—
783#551—794no—
784D4×Q8—794no—
785D4×Q8—794no—
786D4×Q8—794no—
787D4×Q8—794no—
788#548—794no—
789#548—794no—
790#548—794no—
791#547—798no—
792#547—798no—
793#547—798no—
794#547—798no—
795#547—798no—
796#547—794no—
797#547—794no—
798#547—792no—
799#547—794no—
800#546—798no—
801#546—798no—
802#546—798no—
803#546—798no—
804#546—794no—
805#546—794no—
806#546—794no—
807#544—798no—
808#544—798no—
809#543—794no—
810#542—798no—
811#542—798no—
812#542—798no—
813#542—798no—
814#542—794no—
815#541—794no—
816#541—794no—
817#540—798no—
818#539—798no—
819#539—798no—
820#539—798no—
821#539—798no—
822#539—798no—
823#539—798no—
824#538—798no—
825#538—798no—
826#538—794no—
827#538—798no—
828#538—798no—
829#537—794no—
830#537—798no—
831#536—792no—
832#536—792no—
833#536—792no—
834#536—791no—
835#536—792no—
836#536—794no—
837#536—794no—
838#536—798no—
839#536—792no—
840#536—794no—
841#535—791no—
842#535—792no—
843#534—794no—
844#534—794no—
845#533—792no—
846#532—794no—
847#532—792no—
848#532C2×D7911yescharacteristic
849#532C2×D7912yescomplemented
850C2×C4⋊Q8—794no—
851C2×C4⋊Q8—792no—
852#529—798no—
853#529—794no—
854#529—794no—
855#529C2×D7912yescomplemented
856#529C2×D7914yescomplemented
857C2×#126—798no—
858C2×#125—794no—
859C2×#124—792no—
860C2×#124—791no—
861#525—792no—
862#525—798no—
863#525C2×D7912yes—
864#525C2×D7914yescomplemented
865C2×#123—794no—
866C2×#123—794no—
867C2×C22⋊Q8—794no—
868C2×C22⋊Q8—798no—
869#520—794no—
870#518—792no—
871C4×#41—792no—
872C4×#41—791no—
8732−1+4—3168no—
8742−1+4—3164no—
875H(5,𝔽2)—3164no—
876C2×#41—3168no—
877C2×#41—792no—
878C2×#41—798no—
879C2×#41—792no—
880C2×#41—794no—
881C2×#41—794no—
882C2×#41—792no—
883C2×#41—798no—
884C2×#41—794no—
885C2×#41—792no—
886C2×#41—791no—
887C2×#41—794no—
888C2×#41C22×D7911yescharacteristic
889C2×#41C22×D7912yes—
890C2×#41C22×D7911yescharacteristic
891C22×Q8—794no—
892C22×Q8—792no—
893C22×Q8—794no—
894C22×Q8—791no—
895C22×Q8—792no—
896C22×Q8—792no—
897C22×Q8—792no—
898C22×D4—794no—
899C22×D4—792no—
900C22×D4—794no—
901C22×D4—791no—
902C22×D4—792no—
903C23×C4—794no—
904C23×C4C22×D7912yes—
905C4⋊Q8—794no—
906C4⋊Q8—794no—
907C4⋊Q8—792no—
908C4⋊Q8—794no—
909C4⋊Q8—798no—
910C4⋊Q8—798no—
911C4⋊Q8—798no—
912C4⋊Q8—798no—
913C4⋊Q8—794no—
914C4⋊Q8—794no—
915C4⋊Q8—794no—
916C4⋊Q8—794no—
917C4⋊Q8—792no—
918C4⋊Q8—792no—
919C4⋊Q8C22×D7912yes—
920C4⋊Q8C22×D7911yescharacteristic
921#127—792no—
922#127C22×D7912yes—
923#127C22×D7911yescharacteristic
924#126—798no—
925#126—798no—
926#126—798no—
927#126—798no—
928#126—798no—
929#126—798no—
930#126—798no—
931#126—798no—
932#126—798no—
933#126—798no—
934#126—798no—
935#126—798no—
936#126—798no—
937#126C22×D7914yes—
938#126C22×D7914yes—
939#126C22×D7914yes—
940#125—794no—
941#125—794no—
942#125—798no—
943#125—798no—
944#125—798no—
945#125—798no—
946#125—798no—
947#125—798no—
948#125—798no—
949#125—794no—
950#125—794no—
951#125C22×D7912yes—
952#125C22×D7914yes—
953#124—792no—
954#124—792no—
955#124—794no—
956#124—794no—
957#124—794no—
958#124—798no—
959#124—798no—
960#124—798no—
961#124—798no—
962#124—798no—
963#124—792no—
964#124—792no—
965#124—794no—
966#124—794no—
967#124C22×D7911yescharacteristic
968#124C22×D7912yes—
969#124C22×D7914yes—
970#124C22×D7911yescharacteristic
971#124C22×D7912yes—
972#124C22×D7912yes—
973#123—794no—
974#123—794no—
975#123—798no—
976#123—794no—
977#123—794no—
978#123—794no—
979#123—798no—
980#123—798no—
981#123—794no—
982#123—798no—
983#123—798no—
984#123—798no—
985#123—798no—
986#123—794no—
987#123—794no—
988#123—798no—
989#123—798no—
990#123—798no—
991#123—798no—
992#123—798no—
993#123—798no—
994#123—798no—
995#123—798no—
996#123—798no—
997#123—798no—
998#123—798no—
999#123C22×D7912yes—
1000#123C22×D7912yes—
1001#123C22×D7914yes—
1002#123C22×D7914yes—
1003#123C22×D7914yes—
1004#123C22×D7914yes—
1005#123C22×D7914yes—
1006C22⋊Q8—798no—
1007C22⋊Q8—794no—
1008C22⋊Q8—798no—
1009C22⋊Q8—798no—
1010C22⋊Q8—798no—
1011C22⋊Q8—794no—
1012C22⋊Q8—794no—
1013C22⋊Q8—794no—
1014C22⋊Q8—794no—
1015C22⋊Q8—794no—
1016C22⋊Q8—794no—
1017C22⋊Q8—794no—
1018C22⋊Q8—794no—
1019C22⋊Q8—798no—
1020C22⋊Q8—798no—
1021C22⋊Q8—798no—
1022C22⋊Q8—798no—
1023C22⋊Q8—798no—
1024C22⋊Q8—798no—
1025C22⋊Q8—798no—
1026C22⋊Q8—798no—
1027C22⋊Q8—798no—
1028C22⋊Q8—798no—
1029C22⋊Q8—798no—
1030C22⋊Q8—798no—
1031C22⋊Q8—798no—
1032C22⋊Q8—798no—
1033C22⋊Q8—798no—
1034C22⋊Q8—798no—
1035C22⋊Q8—798no—
1036C22⋊Q8C22×D7914yes—
1037C22⋊Q8C22×D7914yes—
1038C22⋊Q8C22×D7914yes—
1039C22⋊Q8C22×D7914yes—
1040C22⋊Q8C22×D7912yes—
1041#121—798no—
1042#121—794no—
1043#121—798no—
1044#121—798no—
1045#121—798no—
1046#121—798no—
1047#121—798no—
1048#121—798no—
1049#121—798no—
1050#121—798no—
1051#121—798no—
1052#121—794no—
1053#121—794no—
1054#121—798no—
1055#121—798no—
1056#121—798no—
1057#121C22×D7914yes—
1058#121C22×D7914yes—
1059#121C22×D7914yes—
1060#121C22×D7914yes—
1061#121C22×D7912yes—
1062#121C22×D7914yes—
1063#121C22×D7914yes—
1064#121C22×D7914yes—
1065#120—794no—
1066#120—798no—
1067#120—798no—
1068#120—798no—
1069#120—794no—
1070#120C22×D7912yes—
1071#120C22×D7912yes—
1072#120C22×D7914yes—
1073#120C22×D7914yes—
1074C4×Q8—794no—
1075C4×Q8—798no—
1076C4×Q8—792no—
1077C4×Q8—794no—
1078C4×Q8—794no—
1079C4×Q8—794no—
1080C4×Q8—794no—
1081C4×Q8C22×D7912yes—
1082C4×D4—798no—
1083C4×D4—798no—
1084C4×D4—794no—
1085C4×D4—798no—
1086C4×D4—798no—
1087C4×D4—798no—
1088C4×D4—794no—
1089C4×D4—798no—
1090C4×D4—798no—
1091C4×D4—798no—
1092C4×D4—798no—
1093C4×D4—798no—
1094C4×D4—798no—
1095C4×D4—798no—
1096C4×D4—798no—
1097C4×D4—798no—
1098C4×D4—794no—
1099C4×D4—792no—
1100C4×D4—794no—
1101C4×D4C22×D7914yes—
1102C4×D4C22×D7914yes—
1103C4×D4C22×D7912yes—
1104C4×D4C22×D7914yes—
1105C4×D4C22×D7914yes—
1106#117—791no—
1107#117—792no—
1108#117—792no—
1109#117—794no—
1110#117—798no—
1111#117—798no—
1112#117—798no—
1113#117—798no—
1114#117—792no—
1115#117—794no—
1116#117—798no—
1117#117C22×D7912yes—
1118#117C22×D7914yes—
1119C2×C4⋊C4—794no—
1120C2×C4⋊C4—798no—
1121C2×C4⋊C4—798no—
1122C2×C4⋊C4—798no—
1123C2×C4⋊C4—794no—
1124C2×C4⋊C4—798no—
1125C2×C4⋊C4—798no—
1126C2×C4⋊C4—798no—
1127C2×C4⋊C4—794no—
1128C2×C22⋊C4—798no—
1129C2×C22⋊C4—794no—
1130C2×C22⋊C4—794no—
1131C2×C22⋊C4—794no—
1132C2×C22⋊C4—798no—
1133C2×C22⋊C4—798no—
1134C2×C22⋊C4—798no—
1135C2×C42—792no—
1136C2×C42—794no—
1137C2×C42C22×D7911yescharacteristic
1138C2×C42C22×D7912yes—
1139C24—792no—
1140C24—794no—
1141C24C23×D7912yes—
1142#41—42no—
1143#41—44no—
1144#41—42no—
1145#41—3168no—
1146#41—3164no—
1147#41—31616no—
1148#41—31616no—
1149#41—3164no—
1150#41—3168no—
1151#41—3168no—
1152#41—3164no—
1153#41—15816no—
1154#41—1584no—
1155#41—1588no—
1156C2×Q8—3164no—
1157C2×Q8—3168no—
1158C2×Q8—3162no—
1159C2×Q8—3164no—
1160C2×Q8—3164no—
1161C2×Q8—3168no—
1162C2×Q8—3164no—
1163C2×Q8—794no—
1164C2×Q8—798no—
1165C2×Q8—794no—
1166C2×Q8—792no—
1167C2×Q8—794no—
1168C2×Q8—794no—
1169C2×Q8—792no—
1170C2×Q8—794no—
1171C2×Q8—791no—
1172C2×Q8C23×D7912yes—
1173C2×Q8C23×D7912yes—
1174C2×Q8C23×D7911yescharacteristic
1175C2×Q8C23×D7911yescharacteristic
1176C2×D4—3162no—
1177C2×D4—3168no—
1178C2×D4—3168no—
1179C2×D4—3164no—
1180C2×D4—798no—
1181C2×D4—798no—
1182C2×D4—798no—
1183C2×D4—794no—
1184C2×D4—794no—
1185C2×D4—798no—
1186C2×D4—792no—
1187C2×D4—792no—
1188C2×D4—791no—
1189C2×D4—794no—
1190C2×D4—792no—
1191C2×D4—1588no—
1192C2×D4C23×D7914yes—
1193C2×D4C23×D7914yes—
1194C2×D4C23×D7914yes—
1195C2×D4C23×D7912yes—
1196C2×D4C23×D7914yes—
1197C2×D4C23×D7912yes—
1198C2×D4C23×D7912yes—
1199C2×D4C23×D7911yescharacteristic
1200C2×D4C23×D7914yes—
1201C2×D4C23×D7912yes—
1202C2×D4C23×D7911yescharacteristic
1203C22×C4—44no—
1204C22×C4—3168no—
1205C22×C4—792no—
1206C22×C4—798no—
1207C22×C4—798no—
1208C22×C4—794no—
1209C22×C4—794no—
1210C22×C4—794no—
1211C22×C4—798no—
1212C22×C4—794no—
1213C22×C4—798no—
1214C22×C4—798no—
1215C22×C4—794no—
1216C22×C4—794no—
1217C22×C4—792no—
1218C22×C4—798no—
1219C22×C4C23×D7912yes—
1220C22×C4C23×D7911yescharacteristic
1221C22×C4C23×D7914yes—
1222C22×C4C23×D7912yes—
1223C22×C4C23×D7912yes—
1224C22×C4C23×D7914yes—
1225C22×C4C23×D7914yes—
1226C22×C4C23×D7912yes—
1227C4⋊C4—798no—
1228C4⋊C4—798no—
1229C4⋊C4—798no—
1230C4⋊C4—798no—
1231C4⋊C4—798no—
1232C4⋊C4—798no—
1233C4⋊C4—798no—
1234C4⋊C4—798no—
1235C4⋊C4—798no—
1236C4⋊C4—798no—
1237C4⋊C4—798no—
1238C4⋊C4—794no—
1239C4⋊C4—798no—
1240C4⋊C4—792no—
1241C4⋊C4—798no—
1242C4⋊C4—798no—
1243C4⋊C4—798no—
1244C4⋊C4—798no—
1245C4⋊C4—794no—
1246C4⋊C4—798no—
1247C4⋊C4—794no—
1248C4⋊C4—794no—
1249C4⋊C4—794no—
1250C4⋊C4C23×D7914yes—
1251C4⋊C4C23×D7914yes—
1252C4⋊C4C23×D7914yes—
1253C4⋊C4C23×D7912yes—
1254C4⋊C4C23×D7914yes—
1255C4⋊C4C23×D7912yes—
1256C4⋊C4C23×D7914yes—
1257C4⋊C4C23×D7914yes—
1258C4⋊C4C23×D7914yes—
1259C4⋊C4C23×D7914yes—
1260C22⋊C4—794no—
1261C22⋊C4—798no—
1262C22⋊C4—798no—
1263C22⋊C4—798no—
1264C22⋊C4—798no—
1265C22⋊C4—798no—
1266C22⋊C4—792no—
1267C22⋊C4—794no—
1268C22⋊C4—798no—
1269C22⋊C4—798no—
1270C22⋊C4—798no—
1271C22⋊C4—798no—
1272C22⋊C4—798no—
1273C22⋊C4—798no—
1274C22⋊C4—798no—
1275C22⋊C4—798no—
1276C22⋊C4—798no—
1277C22⋊C4—798no—
1278C22⋊C4—794no—
1279C22⋊C4C23×D7912yes—
1280C22⋊C4C23×D7912yes—
1281C22⋊C4C23×D7914yes—
1282C22⋊C4C23×D7914yes—
1283C22⋊C4C23×D7914yes—
1284C22⋊C4C23×D7914yes—
1285C22⋊C4C23×D7914yes—
1286C22⋊C4C23×D7914yes—
1287C22⋊C4C23×D7914yes—
1288C22⋊C4C23×D7914yes—
1289C22⋊C4C23×D7914yes—
1290C22⋊C4C23×D7914yes—
1291C22⋊C4C23×D7914yes—
1292C42—792no—
1293C42—798no—
1294C42—794no—
1295C42—794no—
1296C42—794no—
1297C42—798no—
1298C42—798no—
1299C42C23×D7911yescharacteristic
1300C42C23×D7912yes—
1301C42C23×D7912yes—
1302C42C23×D7911yescharacteristic
1303C42C23×D7914yes—
1304C42C23×D7912yes—
1305C23—42no—
1306C23—44no—
1307C23—3168no—
1308C23—3162no—
1309C23—3164no—
1310C23—792no—
1311C23—794no—
1312C23—1588no—
1313C23C24×D7912yes—
1314C23C24×D7911yescharacteristic
1315C23C24×D7914yes—
1316C23C24×D7912yes—
1317Q8—42no—
1318Q8—41no—
1319Q8—42no—
1320Q8—41no—
1321Q8—3168no—
1322Q8—3162no—
1323Q8—3164no—
1324Q8—3164no—
1325Q8—3164no—
1326Q8—3164no—
1327Q8—1584no—
1328Q8—1588no—
1329Q8—1582no—
1330D4—42no—
1331D4—41no—
1332D4—44no—
1333D4—44no—
1334D4—44no—
1335D4—42no—
1336D4—44no—
1337D4—44no—
1338D4—41no—
1339D4—42no—
1340D4—42no—
1341D4—3162no—
1342D4—3164no—
1343D4—3168no—
1344D4—3168no—
1345D4—3168no—
1346D4—794no—
1347D4—1588no—
1348D4—1584no—
1349D4—15816no—
1350D4—1588no—
1351D4—1584no—
1352C2×C4—24no—
1353C2×C4—28no—
1354C2×C4—22no—
1355C2×C4—24no—
1356C2×C4—42no—
1357C2×C4—44no—
1358C2×C4—44no—
1359C2×C4—42no—
1360C2×C4—3168no—
1361C2×C4—3164no—
1362C2×C4—3168no—
1363C2×C4—3164no—
1364C2×C4—3168no—
1365C2×C4—3164no—
1366C2×C4—3164no—
1367C2×C4—3164no—
1368C2×C4—3168no—
1369C2×C4—3162no—
1370C2×C4—3168no—
1371C2×C4—798no—
1372C2×C4—794no—
1373C2×C4—794no—
1374C2×C4—798no—
1375C2×C4—792no—
1376C2×C4—15816no—
1377C2×C4—1584no—
1378C2×C4—1588no—
1379C2×C4C24×D7912yes—
1380C2×C4C24×D7912yes—
1381C2×C4C24×D7914yes—
1382C2×C4C24×D7914yes—
1383C2×C4C24×D7912yes—
1384C2×C4C24×D7911yescharacteristic
1385C2×C4C24×D7912yes—
1386C2×C4C24×D7914yes—
1387C2×C4C24×D7911yescharacteristic
1388C22—24no—
1389C22—22no—
1390C22—22no—
1391C22—21no—
1392C22—24no—
1393C22—22no—
1394C22—24no—
1395C22—24no—
1396C22—24no—
1397C22—84no—
1398C22—794no—
1399C22—6328no—
1400C22—1584no—
1401C22—1588no—
1402C22—1584no—
1403C22—12642no—
1404C22C25×D7911yescharacteristic
1405C4—24no—
1406C4—22no—
1407C4—21no—
1408C4—22no—
1409C4—24no—
1410C4—24no—
1411C4—22no—
1412C4—22no—
1413C4—1582no—
1414C4—1588no—
1415C4—1584no—
1416C4—1584no—
1417C4—1588no—
1418C4H(5,𝔽2)×D7912yes—
1419C2—42no—
1420C2—44no—
1421C2—41no—
1422C2—42no—
1423C2—3164no—
1424C2—1584no—
1425C2C2×H(5,𝔽2)×D7911yescharacteristic
1426C2#2377821312yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3529C2
hypercenter#3529D79
hypocenterC79#63063
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3529

Complements

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

NH ≅ G/Ntype
1. #23777970C2semidirect
2. #23777950C2semidirect
3. #23777928C2semidirect
4. #23777845C2semidirect
5. #23777827C2semidirect
6. #23777814C2semidirect
7. #23777755C2semidirect
8. #23777739C2semidirect
9. #23777693C2semidirect
10. #23777649C2semidirect
11. #23777600C2semidirect
12. #23777569C2semidirect
13. #563×D79C2semidirect
14. #23777472C2semidirect
15. #23777380C2semidirect
16. #23777187C2semidirect
17. #23777180C2semidirect
18. #23777072C2semidirect
19. #23777042C2semidirect
20. C79×#3529C2semidirect
21. C2×#14579208C22semidirect
22. C2×#14579208C22semidirect
24. C22×#11929624C22semidirect
25. #19099317C22semidirect
26. #19099316C22semidirect
27. #19099316C22semidirect
28. #19099315C22semidirect
29. #19099315C22semidirect
30. #19099314C22semidirect
31. #19099313C22semidirect
32. #19099313C22semidirect
33. #19099312C22semidirect
34. #19099308C22semidirect
35. #19099307C22semidirect
36. #19099300C22semidirect
37. #19099299C22semidirect
38. #19099293C22semidirect
39. #19099292C22semidirect
40. #19099286C22semidirect
41. #19099283C22semidirect
42. #19099275C22semidirect
43. #19099273C22semidirect
44. #19099271C22semidirect
45. #19099270C22semidirect
46. #19099267C22semidirect
47. #19099265C22semidirect
48. #19099260C22semidirect
49. #19099259C22semidirect
50. #19099258C22semidirect
51. #19099256C22semidirect
52. #19099253C22semidirect
53. #19099253C22semidirect
54. #19099249C22semidirect
55. #19099247C22semidirect
56. #19099245C22semidirect
57. #19099244C22semidirect
58. #19099244C22semidirect
59. #19099243C22semidirect
60. #19099243C22semidirect
61. #19099241C22semidirect
62. #19099236C22semidirect
63. D4×Dic158C22semidirect
64. D4×Dic158C22semidirect
65. D4×Dic158C22semidirect
66. D4×Dic158C22semidirect
67. #19099222C22semidirect
68. #19099222C22semidirect
69. #19099222C22semidirect
71. #19099218C22semidirect
72. #19099218C22semidirect
73. #19099218C22semidirect
74. #19099215C22semidirect
75. #19099213C22semidirect
76. #19099213C22semidirect
77. #19099211C22semidirect
78. #19099211C22semidirect
81. #19099209C22semidirect
82. #19099209C22semidirect
83. #19099202C22semidirect
84. #19099200C22semidirect
85. #19099200C22semidirect
86. #19099193C22semidirect
87. #19099192C22semidirect
88. #19099188C22semidirect
89. #19099184C22semidirect
90. #19099182C22semidirect
91. #19099181C22semidirect
92. #19099180C22semidirect
93. #19099179C22semidirect
94. #19099175C22semidirect
95. #19099175C22semidirect
96. #19099163C22semidirect
97. #19099159C22semidirect
98. #19099158C22semidirect
99. #19099157C22semidirect
100. #19099157C22semidirect
101. #19099156C22semidirect
102. #19099156C22semidirect
103. #19099150C22semidirect
104. #19099148C22semidirect
105. #19099148C22semidirect
106. #19099145C22semidirect
107. #19099145C22semidirect
108. #19099142C22semidirect
109. #19099141C22semidirect
110. #19099139C22semidirect
111. #19099139C22semidirect
112. #19099138C22semidirect
113. #19099136C22semidirect
116. #19099134C22semidirect
117. #19099134C22semidirect
118. #19099133C22semidirect
119. #19099133C22semidirect
120. #19099127C22semidirect
123. #19099123C22semidirect
124. #19099120C22semidirect
125. #19099112C22semidirect
126. #19099111C22semidirect
127. C2×#14579161C22semidirect
128. C4⋊Q8×D79C22semidirect
129. #19099097C22semidirect
130. #19099096C22semidirect
131. #19099092C22semidirect
132. #126×D79C22semidirect
133. #125×D79C22semidirect
134. C2×#14579149C22semidirect
136. #19099074C22semidirect
137. #19099073C22semidirect
139. #123×D79C22semidirect
140. C2×#14579140C22semidirect
141. C22⋊Q8×D79C22semidirect
142. #19099043C22semidirect
143. #19099037C22semidirect
144. C4×#11929624C22semidirect
145. C4×#11929624C22semidirect
146. #563×C79C22semidirect
147. #563×C79C22semidirect
148. #562×C79C22semidirect
149. #562×C79C22semidirect
150. H(3,𝔽4)×C79C22semidirect
151. #560×C79C22semidirect
152. #560×C79C22semidirect
154. #532×C79C22semidirect
155. #529×C79C22semidirect
156. #529×C79C22semidirect
158. #525×C79C22semidirect
726. #3529D79semidirect
734. C79#63063semidirect
748. #563C2×D79semidirect
749. #563C2×D79semidirect
752. #562C2×D79semidirect
753. #562C2×D79semidirect
754. H(3,𝔽4)C2×D79semidirect
756. #560C2×D79semidirect
757. #560C2×D79semidirect
849. #532C2×D79semidirect
855. #529C2×D79semidirect
856. #529C2×D79semidirect
864. #525C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779702
#237779502
#237779282
#237778452
#237778272
#237778142
#237777552
#237777392
#237776932
#237776492
#237776002
#237775692
#563×D792
#237774722
#237773802
#237771872
#237771802
#237770722
#237770422
C79×#35292
#6306379