Finite Group Databasebeta

← #35201976

Subgroups — #35201976

Order 20224.

7352 conjugacy classes of subgroups.

The subgroup lattice has 1490 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777922C214yesmaximal, complemented
2#23777916C212yesmaximal, complemented
3#23777827C212yesmaximal, complemented
4#23777825C214yesmaximal, complemented
5#23777805C211yesmaximal, characteristic, complemented
6#23777804C212yesmaximal, complemented
7#23777730C214yesmaximal, complemented
8#23777728C218yesmaximal, complemented
9#23777716C214yesmaximal, complemented
10#23777713C218yesmaximal, complemented
11#23777639C212yesmaximal, complemented
12#23777634C214yesmaximal, complemented
13#23777541C212yesmaximal, complemented
14#23777505C214yesmaximal, complemented
15#23777404C212yesmaximal, complemented
16#23777187C211yesmaximal, characteristic, complemented
17#23777173C212yesmaximal, complemented
18#23777061C214yesmaximal, complemented
19#23777054C212yesmaximal, complemented
20C79×#3529C211yesmaximal, characteristic, complemented
21C2×#14579208C2211yescharacteristic, complemented
22C2×#14579207C2212yescomplemented
23C2×#14579207C2211yescharacteristic, complemented
24C22×#11929624C2212yescomplemented
25#19099312C2214yescomplemented
26#19099311C2214yescomplemented
27#19099309C2218yescomplemented
28#19099305C2212yescomplemented
29#19099305C2214yescomplemented
30#19099305C2212yescomplemented
31#19099304C2218yescomplemented
32#19099304C2218yescomplemented
33#19099303C2214yescomplemented
34#19099303C2214yescomplemented
35#19099301C2218yescomplemented
36#19099300C2214yescomplemented
37#19099298C2214yescomplemented
38#19099297C2218yescomplemented
39#19099291C2212yescomplemented
40#19099279C2212yescomplemented
41#19099278C2214yescomplemented
42#19099275C2214yescomplemented
43#19099275C2218yescomplemented
44#19099264C2218yescomplemented
45#19099259C2214yescomplemented
46#19099259C2214yescomplemented
47#19099258C2218yescomplemented
48#19099253C2214yescomplemented
49#19099245C2218yescomplemented
50#19099243C2214yescomplemented
51#19099240C2218yescomplemented
52#19099235C2212yescomplemented
53#19099234C2214yescomplemented
54#19099234C2214yescomplemented
55#19099234C2212yescomplemented
56#19099234C2214yescomplemented
57#19099231C2218yescomplemented
58#19099231C2214yescomplemented
59#19099223C2218yescomplemented
60#19099222C2214yescomplemented
61#19099222C2214yescomplemented
62#19099222C2214yescomplemented
63#19099217C2212yescomplemented
64#19099215C2214yescomplemented
65#19099209C2214yescomplemented
66#19099209C2214yescomplemented
67#19099209C2214yescomplemented
68#19099205C2218yescomplemented
69#19099205C2218yescomplemented
70#19099205C2218yescomplemented
71#19099204C2218yescomplemented
72#19099202C2218yescomplemented
73#19099202C2218yescomplemented
74D4×D316C2214yescomplemented
75D4×D316C2214yescomplemented
76D4×D316C2214yescomplemented
77D4×D316C2214yescomplemented
78#19099198C2212yescomplemented
79#19099197C2218yescomplemented
80#19099197C2218yescomplemented
81#19099197C2218yescomplemented
82#19099195C2218yescomplemented
83#19099195C2214yescomplemented
84#19099195C2218yescomplemented
85#19099195C2214yescomplemented
86#19099184C2214yescomplemented
87#19099183C2218yescomplemented
88#19099169C2218yescomplemented
89#19099168C2214yescomplemented
90#19099168C2214yescomplemented
91#19099165C2218yescomplemented
92#19099165C2218yescomplemented
93#19099163C2218yescomplemented
94#19099163C2218yescomplemented
95#19099153C2218yescomplemented
96#19099153C2214yescomplemented
97#19099152C2218yescomplemented
98#19099149C2218yescomplemented
99#19099145C2218yescomplemented
100#19099143C2218yescomplemented
101#19099141C2214yescomplemented
102#19099138C2212yescomplemented
103#19099134C2211yescharacteristic, complemented
104#19099132C2212yescomplemented
105#19099132C2214yescomplemented
106#19099131C2214yescomplemented
107#19099131C2218yescomplemented
108#19099131C2214yescomplemented
109#19099129C2218yescomplemented
110#19099129C2218yescomplemented
111#19099128C2214yescomplemented
112#19099128C2218yescomplemented
113#19099128C2214yescomplemented
114#19099127C2212yescomplemented
115#19099127C2212yescomplemented
116#19099127C2211yescharacteristic, complemented
117#19099127C2212yescomplemented
118#19099126C2212yescomplemented
119#19099124C2218yescomplemented
120#19099124C2218yescomplemented
121#19099123C2218yescomplemented
122#19099121C2218yescomplemented
123#19099121C2214yescomplemented
124#19099114C2214yescomplemented
125#19099113C2212yescomplemented
126#19099112C2212yescomplemented
127#19099112C2214yescomplemented
128C2×#14579158C2212yescomplemented
129#127×D79C2214yescomplemented
130#19099098C2214yescomplemented
131#19099097C2214yescomplemented
132#19099096C2218yescomplemented
133#19099096C2218yescomplemented
134C2×#14579149C2211yescharacteristic, complemented
135#124×D79C2212yescomplemented
136#19099076C2218yescomplemented
137#19099074C2212yescomplemented
138#19099071C2214yescomplemented
139#19099071C2214yescomplemented
140C2×#14579135C2214yescomplemented
141#121×D79C2218yescomplemented
142#19099043C2214yescomplemented
143#19099040C2212yescomplemented
144C4×#11929624C2211yescharacteristic, complemented
145C4×#11929624C2212yescomplemented
146#563×C79C2211yescharacteristic, complemented
147#563×C79C2212yescomplemented
148#562×C79C2212yescomplemented
149#562×C79C2214yescomplemented
150H(3,𝔽4)×C79C2211yescharacteristic, complemented
151#560×C79C2212yescomplemented
152#560×C79C2214yescomplemented
153#532×C79C2211yescharacteristic, complemented
154#532×C79C2212yescomplemented
155#529×C79C2212yescomplemented
156#529×C79C2214yescomplemented
157#525×C79C2212yescomplemented
158#525×C79C2214yescomplemented
159#14579208—44no—
160#14579207—48no—
161#14579207—44no—
162C2×#11929625C2312yes—
163C2×#11929625C2314yes—
164C2×#11929625C2314yes—
165C2×#11929624—48no—
166C2×#11929624C2312yes—
167C2×#11929624C2311yescharacteristic
168C2×#11929624C2314yes—
169C2×#11929624C2312yes—
170C2×#11929624C2314yes—
171C2×#11929624C2318yes—
172C2×#11929624C2314yes—
173C2×#11929623C2314yes—
174C2×#11929623C2312yes—
175C2×#11929623C2314yes—
176C22×Dic158C2312yes—
177C22×Dic158C2311yescharacteristic
178C2×Q8×D79C2312yes—
179C22×D316C2311yescharacteristic
180C22×D316C2314yes—
181C22×D316C2312yes—
182C22×D316C2312yes—
183C22×D316C2312yes—
184C22×D316C2318yes—
185C22×C22⋊D79C2314yes—
186C22×C22⋊D79C2318yes—
187C2×D4×D79C2314yes—
188C2×D4×D79C2318yes—
189C2×D4×D79C2312yes—
190C2×D4×D79C2314yes—
191C2×D4×D79C2318yes—
192C2×D4×D79C2318yes—
193C2×D4×D79C2318yes—
194C2×D4×D79C2318yes—
195C22×C4×D79C2314yes—
196#14579161C2312yes—
197#14579159C2312yes—
198#14579159C2314yes—
199#14579158C2314yes—
200#14579158C2314yes—
201#14579158C2314yes—
202#14579158C2312yes—
203#14579158C2314yes—
204#14579157C2314yes—
205#14579157C2318yes—
206#14579157C2314yes—
207#14579157C2318yes—
208#14579157C2314yes—
209#14579157C2312yes—
210#14579157C2314yes—
211#14579157C2318yes—
212#14579156C2318yes—
213#14579156C2318yes—
214#14579156C2318yes—
215#14579155C2318yes—
216#14579154C2318yes—
217#14579153C2314yes—
218#14579151C2318yes—
219#14579151C2318yes—
220#14579150C2312yes—
221#14579150C2314yes—
222#14579150C2318yes—
223#14579150C2314yes—
224#14579150C2314yes—
225#14579149C2312yes—
226#14579149C2314yes—
227#14579149C2314yes—
228#14579149C2314yes—
229#14579149C2312yes—
230#14579148C2312yes—
231#14579147C2318yes—
232#14579147C2318yes—
233#14579147C2318yes—
234#14579147C2318yes—
235#14579147C2318yes—
236#14579147C2318yes—
237#14579146C2318yes—
238#14579146C2318yes—
239#14579146C2318yes—
240#14579146C2318yes—
241#14579146C2318yes—
242#14579146C2318yes—
243#14579146C2318yes—
244#14579146C2318yes—
245#14579146C2318yes—
246#14579145C2318yes—
247#14579144C2318yes—
248#14579144C2314yes—
249#14579143C2318yes—
250#14579143C2318yes—
251#14579143C2318yes—
252#14579142C2318yes—
253#14579142C2314yes—
254#14579141C2314yes—
255#14579140C2314yes—
256#14579140C2314yes—
257#14579139C2318yes—
258#14579139C2318yes—
259#14579139C2318yes—
260#14579139C2318yes—
261#14579137C2318yes—
262#14579136C2318yes—
263#14579136C2318yes—
264#14579136C2318yes—
265#14579136C2318yes—
266#14579136C2318yes—
267#14579136C2318yes—
268#14579136C2318yes—
269#14579136C2318yes—
270#14579136C2314yes—
271#14579135C2314yes—
272#14579135C2314yes—
273#14579135C2318yes—
274#14579135C2314yes—
275#14579135C2314yes—
276#14579135C2314yes—
277#14579135C2314yes—
278#14579135C2314yes—
279#14579135C2314yes—
280#14579135C2318yes—
281#14579134C2318yes—
282#14579134C2318yes—
283#14579134C2318yes—
284#14579134C2318yes—
285#14579134C2318yes—
286#14579134C2318yes—
287#14579134C2318yes—
288#14579134C2318yes—
289#14579134C2318yes—
290#14579134C2318yes—
291#14579134C2318yes—
292#14579134C2318yes—
293#14579134C2318yes—
294#14579134C2318yes—
295#14579133C2318yes—
296#14579133C2318yes—
297#14579133C2318yes—
298#14579133C2318yes—
299#14579133C2318yes—
300#14579133C2318yes—
301#14579133C2318yes—
302#14579132C2318yes—
303#14579132C2318yes—
304#14579131C2318yes—
305#14579131C2318yes—
306#14579131C2318yes—
307#14579131C2318yes—
308#14579131C2318yes—
309#14579131C2318yes—
310#14579131C2318yes—
311#14579131C2318yes—
312#14579131C2314yes—
313#14579131C2318yes—
314#14579131C2318yes—
315#14579131C2314yes—
316#14579130C2314yes—
317#14579129C2314yes—
318#14579129C2318yes—
319#14579129C2318yes—
320#14579129C2314yes—
321#14579129C2314yes—
322#14579129C2318yes—
323#14579129C2314yes—
324#14579129C2318yes—
325#14579129C2314yes—
326C4×Dic158C2314yes—
327C4×Dic158C2312yes—
328C4×Dic158C2314yes—
329#14579126C2318yes—
330#14579126C2314yes—
331C4×D316C2314yes—
332C4×D316C2312yes—
333C4×D316C2314yes—
334C4×D316C2314yes—
335C4×D316C2314yes—
336#14579123C2318yes—
337#14579123C2318yes—
338#14579123C2318yes—
339#14579123C2318yes—
340#14579123C2314yes—
341C4×C22⋊D79C2318yes—
342C4×C22⋊D79C2318yes—
343C4×C22⋊D79C2318yes—
344C4×C22⋊D79C2314yes—
345(C22⋊D79)⋊C4C2318yes—
346(C22⋊D79)⋊C4C2318yes—
347(C22⋊D79)⋊C4C2318yes—
348(C22⋊D79)⋊C4C2318yes—
349(C22⋊D79)⋊C4C2318yes—
350(C22⋊D79)⋊C4C2318yes—
351(C22⋊D79)⋊C4C2318yes—
352#14579120C2312yes—
353#14579120C2311yescharacteristic
354#14579120C2312yes—
355#14579119C2318yes—
356#14579119C2318yes—
357#14579118C2312yes—
358#14579118C2318yes—
359#14579118C2314yes—
360#14579117C2314yes—
361#14579117C2318yes—
362#14579117C2314yes—
363C2×C4⋊Dic79C2314yes—
364C4⋊C4×D79C2318yes—
365C2×(C2×D79)⋊C4C2314yes—
366C2×(C2×D79)⋊C4C2318yes—
367C22⋊C4×D79C2318yes—
368C22⋊C4×D79C2318yes—
369C22⋊C4×D79C2318yes—
370C42×D79C2312yes—
371C42×D79C2314yes—
372C2×#41×C79C2312yes—
373C2×#41×C79C2311yescharacteristic
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×C79C2312yes—
386#124×C79C2314yes—
387#124×C79C2312yes—
388#124×C79C2312yes—
389#124×C79C2311yescharacteristic
390#124×C79C2311yescharacteristic
391#123×C79C2314yes—
392#123×C79C2314yes—
393#123×C79C2314yes—
394#123×C79C2312yes—
395#123×C79C2312yes—
396#123×C79C2314yes—
397#123×C79C2314yes—
398C22⋊Q8×C79C2314yes—
399C22⋊Q8×C79C2312yes—
400C22⋊Q8×C79C2314yes—
401C22⋊Q8×C79C2314yes—
402C22⋊Q8×C79C2314yes—
403#121×C79C2314yes—
404#121×C79C2314yes—
405#121×C79C2314yes—
406#121×C79C2314yes—
407#121×C79C2314yes—
408#121×C79C2314yes—
409#121×C79C2312yes—
410#121×C79C2314yes—
411#120×C79C2314yes—
412#120×C79C2312yes—
413#120×C79C2312yes—
414#120×C79C2314yes—
415C4×Q8×C79C2312yes—
416C4×D4×C79C2314yes—
417C4×D4×C79C2314yes—
418C4×D4×C79C2314yes—
419C4×D4×C79C2314yes—
420C4×D4×C79C2312yes—
421#117×C79C2312yes—
422#117×C79C2314yes—
423C2×C42×C79C2311yescharacteristic
424C2×C42×C79C2312yes—
425C23×D79C2414yes—
426C23×D79C2414yes—
427C23×D79C2418yes—
428C23×D79C2412yes—
429C23×D79C2414yes—
430#11929625—48no—
431#11929625—44no—
432#11929625—84no—
433#11929624—216no—
434#11929624—28no—
435#11929624—24no—
436#11929624—416no—
437#11929624—48no—
438#11929624—44no—
439#11929624—84no—
440#11929623—48no—
441#11929623—44no—
442#11929623—84no—
443C2×Dic158—28no—
444C2×Dic158—42no—
445C2×Dic158C2414yes—
446C2×Dic158C2412yes—
447C2×Dic158C2412yes—
448C2×Dic158C2414yes—
449C2×Dic158C2411yescharacteristic
450Q8×D79—44no—
451C2×D316—44no—
452C2×D316—44no—
453C2×D316—44no—
454C2×D316—42no—
455C2×D316—48no—
456C2×D316—88no—
457C2×D316C2411yescharacteristic
458C2×D316C2414yes—
459C2×D316C2412yes—
460C2×D316C2414yes—
461C2×D316C2414yes—
462C2×D316C2418yes—
463C2×D316C2412yes—
464C2×D316C2418yes—
465C2×D316C2414yes—
466C2×D316C2414yes—
467C2×D316C2418yes—
468C2×D316C2418yes—
469C2×D316C2418yes—
470C2×D316C2414yes—
471C2×C22⋊D79—48no—
472C2×C22⋊D79—88no—
473C2×C22⋊D79C2412yes—
474C2×C22⋊D79C2418yes—
475C2×C22⋊D79C2414yes—
476C2×C22⋊D79C2414yes—
477C2×C22⋊D79C2418yes—
478C2×C22⋊D79C2418yes—
479C2×C22⋊D79C2418yes—
480C2×C22⋊D79C2418yes—
481C2×C22⋊D79C2418yes—
482C2×C22⋊D79C2418yes—
483C2×C22⋊D79C2418yes—
484C2×C22⋊D79C2418yes—
485D4×D79—44no—
486D4×D79—416no—
487D4×D79—48no—
488D4×D79—48no—
489D4×D79—88no—
490D4×D79—88no—
491D4×D79—88no—
492D4×D79—88no—
493C22×Dic79C2414yes—
494C22×Dic79C2412yes—
495C22×Dic79C2418yes—
496C2×C4×D79—48no—
497C2×C4×D79C2412yes—
498C2×C4×D79C2418yes—
499C2×C4×D79C2414yes—
500C2×C4×D79C2414yes—
501C2×C4×D79C2414yes—
502C2×C4×D79C2418yes—
503C2×C4×D79C2418yes—
504C2×C4×D79C2418yes—
505C2×C4×D79C2418yes—
506C4⋊Dic79C2418yes—
507C4⋊Dic79C2412yes—
508C4⋊Dic79C2414yes—
509C4⋊Dic79C2414yes—
510Dic79⋊C4C2414yes—
511Dic79⋊C4C2418yes—
512Dic79⋊C4C2418yes—
513Dic79⋊C4C2418yes—
514Dic79⋊C4C2418yes—
515Dic79⋊C4C2418yes—
516Dic79⋊C4C2418yes—
517C22⋊Dic79C2418yes—
518C22⋊Dic79C2418yes—
519C22⋊Dic79C2414yes—
520C22⋊Dic79C2414yes—
521C22⋊Dic79C2412yes—
522(C2×D79)⋊C4C2418yes—
523(C2×D79)⋊C4C2418yes—
524(C2×D79)⋊C4C2418yes—
525(C2×D79)⋊C4C2418yes—
526(C2×D79)⋊C4C2418yes—
527(C2×D79)⋊C4C2418yes—
528(C2×D79)⋊C4C2418yes—
529(C2×D79)⋊C4C2418yes—
530(C2×D79)⋊C4C2414yes—
531(C2×D79)⋊C4C2418yes—
532(C2×D79)⋊C4C2418yes—
533(C2×D79)⋊C4C2418yes—
534(C2×D79)⋊C4C2418yes—
535(C2×D79)⋊C4C2418yes—
536(C2×D79)⋊C4C2418yes—
537C4×Dic79C2414yes—
538C4×Dic79C2418yes—
539C4×Dic79C2412yes—
540C4×Dic79C2414yes—
541C4×Dic79C2418yes—
542C4×Dic79C2414yes—
543C24×C79C2412yes—
544#41×C79—42no—
545#41×C79—44no—
546#41×C79—42no—
547C2×Q8×C79C2411yescharacteristic
548C2×Q8×C79C2412yes—
549C2×Q8×C79C2412yes—
550C2×Q8×C79C2411yescharacteristic
551C2×D4×C79C2412yes—
552C2×D4×C79C2411yescharacteristic
553C2×D4×C79C2412yes—
554C2×D4×C79C2414yes—
555C2×D4×C79C2414yes—
556C2×D4×C79C2414yes—
557C2×D4×C79C2414yes—
558C2×D4×C79C2412yes—
559C2×D4×C79C2414yes—
560C2×D4×C79C2411yescharacteristic
561C2×D4×C79C2412yes—
562C22×C4×C79—44no—
563C22×C4×C79C2411yescharacteristic
564C22×C4×C79C2412yes—
565C22×C4×C79C2414yes—
566C22×C4×C79C2412yes—
567C22×C4×C79C2412yes—
568C22×C4×C79C2414yes—
569C22×C4×C79C2414yes—
570C22×C4×C79C2412yes—
571C4⋊C4×C79C2414yes—
572C4⋊C4×C79C2414yes—
573C4⋊C4×C79C2414yes—
574C4⋊C4×C79C2414yes—
575C4⋊C4×C79C2414yes—
576C4⋊C4×C79C2414yes—
577C4⋊C4×C79C2414yes—
578C4⋊C4×C79C2412yes—
579C4⋊C4×C79C2414yes—
580C4⋊C4×C79C2412yes—
581C22⋊C4×C79C2412yes—
582C22⋊C4×C79C2414yes—
583C22⋊C4×C79C2412yes—
584C22⋊C4×C79C2414yes—
585C22⋊C4×C79C2414yes—
586C22⋊C4×C79C2414yes—
587C22⋊C4×C79C2414yes—
588C22⋊C4×C79C2414yes—
589C22⋊C4×C79C2414yes—
590C22⋊C4×C79C2414yes—
591C22⋊C4×C79C2414yes—
592C22⋊C4×C79C2414yes—
593C22⋊C4×C79C2414yes—
594C42×C79C2412yes—
595C42×C79C2414yes—
596C42×C79C2411yescharacteristic
597C42×C79C2412yes—
598C42×C79C2412yes—
599C42×C79C2411yescharacteristic
600C23×C79—42no—
601C23×C79—44no—
602C23×C79C2512yes—
603C23×C79C2514yes—
604C23×C79C2512yes—
605C23×C79C2511yescharacteristic
606C22×D79—44no—
607C22×D79—48no—
608C22×D79—44no—
609C22×D79—44no—
610C22×D79—48no—
611C22×D79—42no—
612C22×D79—44no—
613C22×D79—48no—
614C22×D79—48no—
615C22×D79—48no—
616C22×D79—48no—
617C22×D79C2514yes—
618C22×D79C2518yes—
619C22×D79C2512yes—
620Q8×C79—41no—
621Q8×C79—42no—
622Q8×C79—41no—
623Q8×C79—42no—
624D4×C79—44no—
625D4×C79—41no—
626D4×C79—42no—
627D4×C79—42no—
628D4×C79—44no—
629D4×C79—44no—
630D4×C79—44no—
631D4×C79—44no—
632D4×C79—42no—
633D4×C79—41no—
634D4×C79—42no—
635C2×C4×C79—24no—
636C2×C4×C79—24no—
637C2×C4×C79—22no—
638C2×C4×C79—28no—
639C2×C4×C79—42no—
640C2×C4×C79—44no—
641C2×C4×C79—44no—
642C2×C4×C79—42no—
643C2×C4×C79C2512yes—
644C2×C4×C79C2511yescharacteristic
645C2×C4×C79C2512yes—
646C2×C4×C79C2514yes—
647C2×C4×C79C2514yes—
648C2×C4×C79C2512yes—
649C2×C4×C79C2512yes—
650C2×C4×C79C2514yes—
651C2×C4×C79C2511yescharacteristic
652C22⋊D79—28no—
653C22⋊D79—216no—
654C22⋊D79—24no—
655C22⋊D79—48no—
656C22⋊D79—48no—
657C22⋊D79—48no—
658C22⋊D79—48no—
659C22⋊D79—48no—
660C22⋊D79—48no—
661C22⋊D79—48no—
662C22⋊D79—48no—
663C22⋊D79—44no—
664C2×Dic79—28no—
665C2×Dic79—48no—
666C2×Dic79—42no—
667C2×Dic79C2518yes—
668C2×Dic79C2514yes—
669C2×Dic79C2514yes—
670C2×Dic79C2512yes—
671D316—24no—
672D316—28no—
673D316—22no—
674D316—48no—
675D316—42no—
676D316—44no—
677D316—44no—
678D316—44no—
679D316—48no—
680D316—48no—
681D316—48no—
682D316—44no—
683D316—48no—
684D316—44no—
685C4×D79—216no—
686C4×D79—28no—
687C4×D79—24no—
688C4×D79—48no—
689C4×D79—48no—
690C4×D79—48no—
691C4×D79—48no—
692C4×D79—44no—
693C4×D79—44no—
694Dic158—24no—
695Dic158—28no—
696Dic158—42no—
697Dic158—44no—
698Dic158H(5,𝔽2)14yes—
699C22×C79—24no—
700C22×C79—22no—
701C22×C79—21no—
702C22×C79—22no—
703C22×C79—22no—
704C22×C79—24no—
705C22×C79—24no—
706C22×C79—24no—
707C22×C79—24no—
708C22×C79—84no—
709C22×C79C2611yescharacteristic
710C2×D79—22no—
711C2×D79—28no—
712C2×D79—24no—
713C2×D79—28no—
714C2×D79—28no—
715C2×D79—24no—
716C2×D79—28no—
717C2×D79—88no—
718C2×D79—164no—
719C2×D79—168no—
720C2×D79—164no—
721C2×D79—162no—
722C4×C79—22no—
723C4×C79—24no—
724C4×C79—21no—
725C4×C79—22no—
726C4×C79—22no—
727C4×C79—24no—
728C4×C79—22no—
729C4×C79—24no—
730C4×C79C2×H(5,𝔽2)12yes—
731Dic79—24no—
732Dic79—28no—
733Dic79—24no—
734Dic79C2×H(5,𝔽2)14yes—
735#63066—791nomaximal, Sylow
736C2×C79—42no—
737C2×C79—42no—
738C2×C79—41no—
739C2×C79—44no—
740C2×C79C22×H(5,𝔽2)11yescharacteristic
741C2×C79H(7,𝔽2)12yes—
742D79—48no—
743D79—42no—
744D79—44no—
745#3558—794no—
746#3558—792no—
747#3551—794no—
748#3551—792no—
749#3549—792no—
750#3549—791no—
751#3543—798no—
752#3543—794no—
753#3542—798no—
754#3542—794no—
755#3537—794no—
756#3537—792no—
757#3529—792no—
758#3529D7911yescharacteristic, complemented
759#3524—794no—
760#3517—792no—
761#3500—791no—
762#3498—792no—
763#3488—794no—
764#3487—792no—
765C79#6306611yescharacteristic, complemented, Sylow
766C2×2−1+4—791no—
767C2×H(5,𝔽2)—792no—
768C2×H(5,𝔽2)—791no—
769C22×#41—792no—
770#563—794no—
771#563C2×D7911yescharacteristic, complemented
772#563C2×D7912yescomplemented
773#562—794no—
774#562—798no—
775#562C2×D7914yescomplemented
776#562C2×D7912yescomplemented
777H(3,𝔽4)—792no—
778H(3,𝔽4)—794no—
779H(3,𝔽4)—792no—
780H(3,𝔽4)C2×D7911yescharacteristic, complemented
781#560—794no—
782#560—798no—
783#560—798no—
784#560—794no—
785#560—794no—
786#560—798no—
787#560C2×D7912yescomplemented
788#560C2×D7914yescomplemented
789#559—798no—
790#559—794no—
791#557—792no—
792#555—792no—
793#555—798no—
794#555—794no—
795#555—794no—
796#553—798no—
797#553—798no—
798#553—794no—
799#553—794no—
800#552—798no—
801#552—794no—
802#551—794no—
803#551—798no—
804#550—798no—
805#550—794no—
806#550—792no—
807#550—794no—
808#550—794no—
809#550—792no—
810#550—794no—
811#548—798no—
812#548—794no—
813#548—794no—
814#548—794no—
815#547—794no—
816#547—792no—
817#546—798no—
818#546—798no—
819#546—798no—
820#546—798no—
821#546—798no—
822#546—798no—
823#546—794no—
824#546—794no—
825#546—794no—
826D42—792no—
827D42—798no—
828D42—798no—
829D42—798no—
830D42—798no—
831D42—798no—
832D42—794no—
833D42—794no—
834D42—794no—
835D42—794no—
836D42—794no—
837D42—794no—
838#542—798no—
839#542—794no—
840#540—798no—
841#540—798no—
842#540—798no—
843#540—798no—
844#540—798no—
845#540—794no—
846#540—794no—
847#538—798no—
848#538—798no—
849#538—798no—
850#538—794no—
851#538—798no—
852#537—794no—
853#537—798no—
854#536—791no—
855#536—792no—
856#535—792no—
857#535—792no—
858#535—792no—
859#535—791no—
860#535—792no—
861#535—794no—
862#535—794no—
863#535—798no—
864#535—798no—
865#535—798no—
866#535—794no—
867#535—794no—
868#535—798no—
869#535—792no—
870#535—794no—
871#534—798no—
872#534—798no—
873#534—798no—
874#534—794no—
875#534—798no—
876#532—794no—
877#532—792no—
878#532—794no—
879#532—792no—
880#532C2×D7912yescomplemented
881#532C2×D7911yescharacteristic, complemented
882C2×#127—794no—
883C2×#127—792no—
884#529—798no—
885#529—798no—
886#529—794no—
887#529—794no—
888#529C2×D7912yescomplemented
889#529C2×D7914yescomplemented
890C2×#124—792no—
891C2×#124—791no—
892#525—792no—
893#525—794no—
894#525—794no—
895#525—798no—
896#525C2×D7912yescomplemented
897#525C2×D7914yescomplemented
898C2×#121—794no—
899C2×#121—798no—
900#520—794no—
901#519—792no—
902C4×#41—792no—
903C4×#41—791no—
9042−1+4—3164no—
905H(5,𝔽2)—3168no—
906H(5,𝔽2)—3164no—
907C2×#41—3168no—
908C2×#41—794no—
909C2×#41—792no—
910C2×#41—794no—
911C2×#41—792no—
912C2×#41—794no—
913C2×#41—794no—
914C2×#41—792no—
915C2×#41—794no—
916C2×#41—798no—
917C2×#41—794no—
918C2×#41—792no—
919C2×#41—791no—
920C2×#41—794no—
921C2×#41C22×D7911yescharacteristic
922C2×#41C22×D7912yes—
923C2×#41C22×D7911yescharacteristic
924C22×Q8—792no—
925C22×Q8—791no—
926C22×Q8—792no—
927C22×D4—794no—
928C22×D4—798no—
929C22×D4—792no—
930C22×D4—794no—
931C22×D4—794no—
932C22×D4—798no—
933C22×D4—798no—
934C22×D4—798no—
935C22×D4—798no—
936C22×D4—798no—
937C22×D4—794no—
938C22×D4—791no—
939C22×D4—792no—
940C22×D4—792no—
941C22×D4—792no—
942C22×D4—798no—
943C23×C4—794no—
944C23×C4C22×D7912yes—
945C4⋊Q8—792no—
946C4⋊Q8—794no—
947C4⋊Q8—792no—
948C4⋊Q8C22×D7912yes—
949C4⋊Q8C22×D7911yescharacteristic
950#127—794no—
951#127—794no—
952#127—798no—
953#127—798no—
954#127—794no—
955#127—792no—
956#127—794no—
957#127—798no—
958#127—794no—
959#127—794no—
960#127—794no—
961#127—794no—
962#127—792no—
963#127C22×D7912yes—
964#127C22×D7911yescharacteristic
965#126—798no—
966#126—798no—
967#126—798no—
968#126—798no—
969#126—798no—
970#126C22×D7914yes—
971#126C22×D7914yes—
972#126C22×D7914yes—
973#125—798no—
974#125—798no—
975#125—794no—
976#125C22×D7912yes—
977#125C22×D7914yes—
978#124—792no—
979#124—794no—
980#124—794no—
981#124—794no—
982#124—798no—
983#124—792no—
984#124—798no—
985#124—798no—
986#124—798no—
987#124—798no—
988#124—798no—
989#124—798no—
990#124—792no—
991#124—792no—
992#124—794no—
993#124—794no—
994#124—794no—
995#124C22×D7911yescharacteristic
996#124C22×D7912yes—
997#124C22×D7914yes—
998#124C22×D7911yescharacteristic
999#124C22×D7912yes—
1000#124C22×D7912yes—
1001#123—798no—
1002#123—794no—
1003#123—794no—
1004#123—798no—
1005#123—798no—
1006#123—798no—
1007#123—798no—
1008#123—798no—
1009#123—798no—
1010#123—798no—
1011#123—798no—
1012#123—798no—
1013#123—798no—
1014#123—798no—
1015#123—798no—
1016#123—798no—
1017#123—798no—
1018#123C22×D7912yes—
1019#123C22×D7912yes—
1020#123C22×D7914yes—
1021#123C22×D7914yes—
1022#123C22×D7914yes—
1023#123C22×D7914yes—
1024#123C22×D7914yes—
1025C22⋊Q8—798no—
1026C22⋊Q8—794no—
1027C22⋊Q8—794no—
1028C22⋊Q8—798no—
1029C22⋊Q8—798no—
1030C22⋊Q8—798no—
1031C22⋊Q8—794no—
1032C22⋊Q8—798no—
1033C22⋊Q8C22×D7914yes—
1034C22⋊Q8C22×D7914yes—
1035C22⋊Q8C22×D7914yes—
1036C22⋊Q8C22×D7912yes—
1037C22⋊Q8C22×D7914yes—
1038#121—798no—
1039#121—798no—
1040#121—798no—
1041#121—798no—
1042#121—798no—
1043#121—798no—
1044#121—798no—
1045#121—798no—
1046#121—798no—
1047#121—798no—
1048#121—798no—
1049#121—794no—
1050#121—794no—
1051#121—794no—
1052#121—794no—
1053#121—794no—
1054#121—794no—
1055#121—794no—
1056#121—794no—
1057#121—798no—
1058#121—798no—
1059#121—794no—
1060#121—798no—
1061#121—798no—
1062#121—798no—
1063#121—798no—
1064#121—798no—
1065#121—798no—
1066#121—798no—
1067#121—798no—
1068#121—798no—
1069#121—798no—
1070#121—798no—
1071#121—798no—
1072#121—798no—
1073#121—798no—
1074#121—798no—
1075#121—798no—
1076#121—798no—
1077#121—798no—
1078#121—798no—
1079#121—798no—
1080#121C22×D7914yes—
1081#121C22×D7914yes—
1082#121C22×D7914yes—
1083#121C22×D7912yes—
1084#121C22×D7914yes—
1085#121C22×D7914yes—
1086#121C22×D7914yes—
1087#121C22×D7914yes—
1088#120—794no—
1089#120—794no—
1090#120—794no—
1091#120—798no—
1092#120—794no—
1093#120—798no—
1094#120—798no—
1095#120—798no—
1096#120—794no—
1097#120—794no—
1098#120—794no—
1099#120—798no—
1100#120—794no—
1101#120—798no—
1102#120—798no—
1103#120—798no—
1104#120—798no—
1105#120—798no—
1106#120—798no—
1107#120—798no—
1108#120—798no—
1109#120—798no—
1110#120C22×D7914yes—
1111#120C22×D7912yes—
1112#120C22×D7912yes—
1113#120C22×D7914yes—
1114C4×Q8—798no—
1115C4×Q8—794no—
1116C4×Q8—794no—
1117C4×Q8—792no—
1118C4×Q8—794no—
1119C4×Q8C22×D7912yes—
1120C4×D4—794no—
1121C4×D4—798no—
1122C4×D4—798no—
1123C4×D4—798no—
1124C4×D4—794no—
1125C4×D4—798no—
1126C4×D4—798no—
1127C4×D4—798no—
1128C4×D4—798no—
1129C4×D4—798no—
1130C4×D4—798no—
1131C4×D4—798no—
1132C4×D4—798no—
1133C4×D4—798no—
1134C4×D4—798no—
1135C4×D4—798no—
1136C4×D4—792no—
1137C4×D4—794no—
1138C4×D4—794no—
1139C4×D4—794no—
1140C4×D4—794no—
1141C4×D4C22×D7914yes—
1142C4×D4C22×D7912yes—
1143C4×D4C22×D7914yes—
1144C4×D4C22×D7914yes—
1145C4×D4C22×D7914yes—
1146#117—792no—
1147#117—791no—
1148#117—792no—
1149#117—798no—
1150#117—798no—
1151#117—794no—
1152#117—794no—
1153#117—798no—
1154#117—794no—
1155#117—792no—
1156#117—798no—
1157#117C22×D7912yes—
1158#117C22×D7914yes—
1159C2×C4⋊C4—794no—
1160C2×C4⋊C4—798no—
1161C2×C22⋊C4—798no—
1162C2×C22⋊C4—794no—
1163C2×C22⋊C4—798no—
1164C2×C22⋊C4—798no—
1165C2×C22⋊C4—798no—
1166C2×C42—792no—
1167C2×C42—794no—
1168C2×C42C22×D7911yescharacteristic
1169C2×C42C22×D7912yes—
1170C24—792no—
1171C24—798no—
1172C24—794no—
1173C24—794no—
1174C24—794no—
1175C24C23×D7912yes—
1176#41—44no—
1177#41—42no—
1178#41—42no—
1179#41—3168no—
1180#41—3164no—
1181#41—31616no—
1182#41—3168no—
1183#41—3164no—
1184#41—3168no—
1185#41—3164no—
1186#41—6324no—
1187#41—6324no—
1188#41—6324no—
1189#41—15816no—
1190#41—1588no—
1191#41—1584no—
1192C2×Q8—3162no—
1193C2×Q8—3164no—
1194C2×Q8—794no—
1195C2×Q8—792no—
1196C2×Q8—791no—
1197C2×Q8—794no—
1198C2×Q8—792no—
1199C2×Q8—1588no—
1200C2×Q8C23×D7912yes—
1201C2×Q8C23×D7912yes—
1202C2×Q8C23×D7911yescharacteristic
1203C2×Q8C23×D7911yescharacteristic
1204C2×D4—3164no—
1205C2×D4—3168no—
1206C2×D4—3164no—
1207C2×D4—3164no—
1208C2×D4—3162no—
1209C2×D4—31616no—
1210C2×D4—3168no—
1211C2×D4—3168no—
1212C2×D4—3164no—
1213C2×D4—3168no—
1214C2×D4—798no—
1215C2×D4—798no—
1216C2×D4—798no—
1217C2×D4—798no—
1218C2×D4—798no—
1219C2×D4—798no—
1220C2×D4—798no—
1221C2×D4—794no—
1222C2×D4—798no—
1223C2×D4—794no—
1224C2×D4—798no—
1225C2×D4—792no—
1226C2×D4—794no—
1227C2×D4—798no—
1228C2×D4—798no—
1229C2×D4—798no—
1230C2×D4—794no—
1231C2×D4—798no—
1232C2×D4—794no—
1233C2×D4—792no—
1234C2×D4—798no—
1235C2×D4—794no—
1236C2×D4—794no—
1237C2×D4—792no—
1238C2×D4—794no—
1239C2×D4—791no—
1240C2×D4—6328no—
1241C2×D4—6328no—
1242C2×D4—6328no—
1243C2×D4—6328no—
1244C2×D4—6328no—
1245C2×D4—6328no—
1246C2×D4C23×D7912yes—
1247C2×D4C23×D7914yes—
1248C2×D4C23×D7914yes—
1249C2×D4C23×D7914yes—
1250C2×D4C23×D7914yes—
1251C2×D4C23×D7911yescharacteristic
1252C2×D4C23×D7912yes—
1253C2×D4C23×D7911yescharacteristic
1254C2×D4C23×D7914yes—
1255C2×D4C23×D7912yes—
1256C2×D4C23×D7912yes—
1257C22×C4—44no—
1258C22×C4—3168no—
1259C22×C4—792no—
1260C22×C4—798no—
1261C22×C4—794no—
1262C22×C4—798no—
1263C22×C4—794no—
1264C22×C4—798no—
1265C22×C4—798no—
1266C22×C4—798no—
1267C22×C4—794no—
1268C22×C4—792no—
1269C22×C4—794no—
1270C22×C4—798no—
1271C22×C4C23×D7911yescharacteristic
1272C22×C4C23×D7912yes—
1273C22×C4C23×D7914yes—
1274C22×C4C23×D7912yes—
1275C22×C4C23×D7912yes—
1276C22×C4C23×D7914yes—
1277C22×C4C23×D7914yes—
1278C22×C4C23×D7912yes—
1279C4⋊C4—794no—
1280C4⋊C4—798no—
1281C4⋊C4—798no—
1282C4⋊C4—798no—
1283C4⋊C4—798no—
1284C4⋊C4—798no—
1285C4⋊C4—798no—
1286C4⋊C4—792no—
1287C4⋊C4—798no—
1288C4⋊C4—794no—
1289C4⋊C4—794no—
1290C4⋊C4C23×D7914yes—
1291C4⋊C4C23×D7914yes—
1292C4⋊C4C23×D7914yes—
1293C4⋊C4C23×D7914yes—
1294C4⋊C4C23×D7914yes—
1295C4⋊C4C23×D7914yes—
1296C4⋊C4C23×D7914yes—
1297C4⋊C4C23×D7912yes—
1298C4⋊C4C23×D7914yes—
1299C4⋊C4C23×D7912yes—
1300C22⋊C4—798no—
1301C22⋊C4—798no—
1302C22⋊C4—794no—
1303C22⋊C4—794no—
1304C22⋊C4—792no—
1305C22⋊C4—798no—
1306C22⋊C4—798no—
1307C22⋊C4—798no—
1308C22⋊C4—798no—
1309C22⋊C4—798no—
1310C22⋊C4—798no—
1311C22⋊C4—798no—
1312C22⋊C4—798no—
1313C22⋊C4—798no—
1314C22⋊C4—798no—
1315C22⋊C4—798no—
1316C22⋊C4—794no—
1317C22⋊C4—798no—
1318C22⋊C4—798no—
1319C22⋊C4—798no—
1320C22⋊C4C23×D7914yes—
1321C22⋊C4C23×D7914yes—
1322C22⋊C4C23×D7914yes—
1323C22⋊C4C23×D7912yes—
1324C22⋊C4C23×D7912yes—
1325C22⋊C4C23×D7914yes—
1326C22⋊C4C23×D7914yes—
1327C22⋊C4C23×D7914yes—
1328C22⋊C4C23×D7914yes—
1329C22⋊C4C23×D7914yes—
1330C22⋊C4C23×D7914yes—
1331C22⋊C4C23×D7914yes—
1332C22⋊C4C23×D7914yes—
1333C42—794no—
1334C42—794no—
1335C42—798no—
1336C42—792no—
1337C42—794no—
1338C42—798no—
1339C42C23×D7911yescharacteristic
1340C42C23×D7912yes—
1341C42C23×D7912yes—
1342C42C23×D7911yescharacteristic
1343C42C23×D7912yes—
1344C42C23×D7914yes—
1345C23—42no—
1346C23—44no—
1347C23—3164no—
1348C23—3168no—
1349C23—3168no—
1350C23—3162no—
1351C23—3164no—
1352C23—3164no—
1353C23—3164no—
1354C23—3168no—
1355C23—3168no—
1356C23—3168no—
1357C23—3168no—
1358C23—794no—
1359C23—798no—
1360C23—792no—
1361C23C24×D7912yes—
1362C23C24×D7912yes—
1363C23C24×D7914yes—
1364C23C24×D7911yescharacteristic
1365Q8—41no—
1366Q8—42no—
1367Q8—41no—
1368Q8—42no—
1369Q8—3162no—
1370Q8—3164no—
1371Q8—794no—
1372Q8—1588no—
1373Q8—1584no—
1374D4—44no—
1375D4—42no—
1376D4—42no—
1377D4—41no—
1378D4—44no—
1379D4—44no—
1380D4—44no—
1381D4—44no—
1382D4—42no—
1383D4—41no—
1384D4—42no—
1385D4—3168no—
1386D4—3164no—
1387D4—3164no—
1388D4—3162no—
1389D4—3164no—
1390D4—3164no—
1391D4—3168no—
1392D4—3168no—
1393D4—3168no—
1394D4—3168no—
1395D4—3164no—
1396D4—3168no—
1397D4—3168no—
1398D4—3168no—
1399D4—3168no—
1400D4—3168no—
1401D4—3168no—
1402D4—3168no—
1403D4—3168no—
1404D4—3164no—
1405D4—1588no—
1406D4—15816no—
1407D4—1584no—
1408D4—1584no—
1409D4—1588no—
1410D4—1582no—
1411C2×C4—24no—
1412C2×C4—28no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—42no—
1416C2×C4—44no—
1417C2×C4—44no—
1418C2×C4—42no—
1419C2×C4—3168no—
1420C2×C4—3168no—
1421C2×C4—3168no—
1422C2×C4—3168no—
1423C2×C4—3164no—
1424C2×C4—3164no—
1425C2×C4—3168no—
1426C2×C4—3162no—
1427C2×C4—792no—
1428C2×C4—798no—
1429C2×C4—794no—
1430C2×C4—794no—
1431C2×C4—15816no—
1432C2×C4—1588no—
1433C2×C4—1584no—
1434C2×C4—1588no—
1435C2×C4C24×D7912yes—
1436C2×C4C24×D7911yescharacteristic
1437C2×C4C24×D7914yes—
1438C2×C4C24×D7914yes—
1439C2×C4C24×D7912yes—
1440C2×C4C24×D7912yes—
1441C2×C4C24×D7912yes—
1442C2×C4C24×D7914yes—
1443C2×C4C24×D7911yescharacteristic
1444C22—22no—
1445C22—24no—
1446C22—21no—
1447C22—22no—
1448C22—22no—
1449C22—24no—
1450C22—24no—
1451C22—24no—
1452C22—24no—
1453C22—84no—
1454C22—6328no—
1455C22—1582no—
1456C22—1588no—
1457C22—1584no—
1458C22—1588no—
1459C22—1584no—
1460C22—1588no—
1461C22—1588no—
1462C22—12648no—
1463C22—12644no—
1464C22—12644no—
1465C22—12642no—
1466C22C25×D7911yescharacteristic
1467C4—24no—
1468C4—22no—
1469C4—22no—
1470C4—21no—
1471C4—22no—
1472C4—24no—
1473C4—24no—
1474C4—22no—
1475C4—794no—
1476C4—1584no—
1477C4—1584no—
1478C4—1588no—
1479C4H(5,𝔽2)×D7912yes—
1480C2—42no—
1481C2—44no—
1482C2—42no—
1483C2—41no—
1484C2—3168no—
1485C2—3164no—
1486C2—3162no—
1487C2C2×H(5,𝔽2)×D7911yescharacteristic
1488C2#2377821112yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3529C2
hypercenter#3529D79
hypocenterC79#63066
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3529

Complements

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

NH ≅ G/Ntype
1. #23777922C2semidirect
2. #23777916C2semidirect
3. #23777827C2semidirect
4. #23777825C2semidirect
5. #23777805C2semidirect
6. #23777804C2semidirect
7. #23777730C2semidirect
8. #23777728C2semidirect
9. #23777716C2semidirect
10. #23777713C2semidirect
11. #23777639C2semidirect
12. #23777634C2semidirect
13. #23777541C2semidirect
14. #23777505C2semidirect
15. #23777404C2semidirect
16. #23777187C2semidirect
17. #23777173C2semidirect
18. #23777061C2semidirect
19. #23777054C2semidirect
20. C79×#3529C2semidirect
21. C2×#14579208C22semidirect
22. C2×#14579207C22semidirect
23. C2×#14579207C22semidirect
24. C22×#11929624C22semidirect
25. #19099312C22semidirect
26. #19099311C22semidirect
27. #19099309C22semidirect
28. #19099305C22semidirect
29. #19099305C22semidirect
30. #19099305C22semidirect
31. #19099304C22semidirect
32. #19099304C22semidirect
33. #19099303C22semidirect
34. #19099303C22semidirect
35. #19099301C22semidirect
36. #19099300C22semidirect
37. #19099298C22semidirect
38. #19099297C22semidirect
39. #19099291C22semidirect
40. #19099279C22semidirect
41. #19099278C22semidirect
42. #19099275C22semidirect
43. #19099275C22semidirect
44. #19099264C22semidirect
45. #19099259C22semidirect
46. #19099259C22semidirect
47. #19099258C22semidirect
48. #19099253C22semidirect
49. #19099245C22semidirect
50. #19099243C22semidirect
51. #19099240C22semidirect
52. #19099235C22semidirect
53. #19099234C22semidirect
54. #19099234C22semidirect
55. #19099234C22semidirect
56. #19099234C22semidirect
57. #19099231C22semidirect
58. #19099231C22semidirect
59. #19099223C22semidirect
60. #19099222C22semidirect
61. #19099222C22semidirect
62. #19099222C22semidirect
63. #19099217C22semidirect
64. #19099215C22semidirect
65. #19099209C22semidirect
66. #19099209C22semidirect
67. #19099209C22semidirect
68. #19099205C22semidirect
69. #19099205C22semidirect
70. #19099205C22semidirect
71. #19099204C22semidirect
72. #19099202C22semidirect
73. #19099202C22semidirect
74. D4×D316C22semidirect
75. D4×D316C22semidirect
76. D4×D316C22semidirect
77. D4×D316C22semidirect
78. #19099198C22semidirect
79. #19099197C22semidirect
80. #19099197C22semidirect
81. #19099197C22semidirect
82. #19099195C22semidirect
83. #19099195C22semidirect
84. #19099195C22semidirect
85. #19099195C22semidirect
86. #19099184C22semidirect
87. #19099183C22semidirect
88. #19099169C22semidirect
89. #19099168C22semidirect
90. #19099168C22semidirect
91. #19099165C22semidirect
92. #19099165C22semidirect
93. #19099163C22semidirect
94. #19099163C22semidirect
95. #19099153C22semidirect
96. #19099153C22semidirect
97. #19099152C22semidirect
98. #19099149C22semidirect
99. #19099145C22semidirect
100. #19099143C22semidirect
101. #19099141C22semidirect
102. #19099138C22semidirect
103. #19099134C22semidirect
104. #19099132C22semidirect
105. #19099132C22semidirect
106. #19099131C22semidirect
107. #19099131C22semidirect
108. #19099131C22semidirect
109. #19099129C22semidirect
110. #19099129C22semidirect
111. #19099128C22semidirect
112. #19099128C22semidirect
113. #19099128C22semidirect
114. #19099127C22semidirect
115. #19099127C22semidirect
116. #19099127C22semidirect
117. #19099127C22semidirect
118. #19099126C22semidirect
119. #19099124C22semidirect
120. #19099124C22semidirect
121. #19099123C22semidirect
122. #19099121C22semidirect
123. #19099121C22semidirect
124. #19099114C22semidirect
125. #19099113C22semidirect
126. #19099112C22semidirect
127. #19099112C22semidirect
128. C2×#14579158C22semidirect
129. #127×D79C22semidirect
130. #19099098C22semidirect
131. #19099097C22semidirect
132. #19099096C22semidirect
133. #19099096C22semidirect
134. C2×#14579149C22semidirect
135. #124×D79C22semidirect
136. #19099076C22semidirect
137. #19099074C22semidirect
138. #19099071C22semidirect
139. #19099071C22semidirect
140. C2×#14579135C22semidirect
141. #121×D79C22semidirect
142. #19099043C22semidirect
143. #19099040C22semidirect
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
153. #532×C79C22semidirect
154. #532×C79C22semidirect
155. #529×C79C22semidirect
156. #529×C79C22semidirect
157. #525×C79C22semidirect
158. #525×C79C22semidirect
758. #3529D79semidirect
765. C79#63066semidirect
771. #563C2×D79semidirect
772. #563C2×D79semidirect
775. #562C2×D79semidirect
776. #562C2×D79semidirect
780. H(3,𝔽4)C2×D79semidirect
787. #560C2×D79semidirect
788. #560C2×D79semidirect
880. #532C2×D79semidirect
881. #532C2×D79semidirect
888. #529C2×D79semidirect
889. #529C2×D79semidirect
896. #525C2×D79semidirect
897. #525C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779222
#237779162
#237778272
#237778252
#237778052
#237778042
#237777302
#237777282
#237777162
#237777132
#237776392
#237776342
#237775412
#237775052
#237774042
#237771872
#237771732
#237770612
#237770542
C79×#35292
#6306679