Finite Group Databasebeta

← #35201911

Subgroups — #35201911

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#23777965C212yesmaximal, complemented
2#23777955C218yesmaximal, complemented
3#23777937C214yesmaximal, complemented
4#23777843C214yesmaximal, complemented
5#23777829C212yesmaximal, complemented
6#23777758C212yesmaximal, complemented
7#23777745C214yesmaximal, complemented
8#23777700C214yesmaximal, complemented
9#23777643C212yesmaximal, complemented
10#23777602C218yesmaximal, complemented
11#23777574C214yesmaximal, complemented
12#23777536C211yesmaximal, characteristic, complemented
13#563×D79C212yesmaximal, complemented
14#23777473C214yesmaximal, complemented
15#23777373C212yesmaximal, complemented
16#23777187C211yesmaximal, characteristic, complemented
17#23777182C212yesmaximal, complemented
18#23777077C214yesmaximal, complemented
19#23777043C212yesmaximal, complemented
20C79×#3550C211yesmaximal, characteristic, complemented
21C2×#14579209C2212yescomplemented
22C2×#14579208C2211yescharacteristic, complemented
23C2×#14579207C2211yescharacteristic
24C22×#11929625C2212yescomplemented
25#19099317C2214yescomplemented
26#19099316C2214yescomplemented
27#19099315C2218yescomplemented
28#19099314C2218yescomplemented
29#19099313C2211yescharacteristic, complemented
30#19099313C2214yescomplemented
31#19099312C2212yescomplemented
32#19099312C2214yescomplemented
33#19099312C2218yescomplemented
34#19099311C2214yescomplemented
35#19099308C2214yescomplemented
36#19099307C2212yescomplemented
37#19099307C2218yescomplemented
38#19099305C2211yescharacteristic, complemented
39#19099303C2214yescomplemented
40#19099301C2214yescomplemented
41#19099300C2212yescomplemented
42#19099288C2212yescomplemented
43#19099285C2214yescomplemented
44#19099279C2214yescomplemented
45#19099274C2212yescomplemented
46#19099274C2212yescomplemented
47#19099273C2218yescomplemented
48#19099267C2218yescomplemented
49#19099264C2218yescomplemented
50#19099264C2218yescomplemented
51#19099262C2218yescomplemented
52#19099257C2214yescomplemented
53#19099257C2214yescomplemented
54#19099254C2218yescomplemented
55#19099254C2218yescomplemented
56#19099252C2214yescomplemented
57#19099252C2214yescomplemented
58#19099247C2214yescomplemented
59#19099243C2218yescomplemented
60#19099243C2214yescomplemented
61#19099241C2214yescomplemented
62#19099241C2214yescomplemented
63#19099238C2218yescomplemented
64#19099237C2218yescomplemented
65Q8×C22⋊D79C2214yescomplemented
66#19099226C2214yescomplemented
67#19099226C2214yescomplemented
68#19099225C2214yescomplemented
69#19099224C2214yescomplemented
70#19099222C2214yescomplemented
71#19099216C2218yescomplemented
72#19099216C2212yescomplemented
73#19099216C2218yescomplemented
74#19099215C2214yes—
75#19099215C2214yescomplemented
76#19099215C2218yescomplemented
77#19099215C2214yescomplemented
78#19099211C2218yescomplemented
79#19099211C2218yescomplemented
80#19099209C2218yescomplemented
81#19099209C2214yescomplemented
82#19099206C2218yes—
83#19099204C2214yes—
84#19099204C2214yescomplemented
85#19099204C2218yescomplemented
86#19099202C2218yescomplemented
87#19099190C2218yescomplemented
88#19099190C2218yescomplemented
89#19099188C2214yescomplemented
90#19099187C2214yescomplemented
91#19099185C2218yescomplemented
92#19099185C2218yescomplemented
93#19099183C2218yescomplemented
94#19099173C2214yescomplemented
95#19099171C2214yescomplemented
96#19099165C2218yescomplemented
97#19099162C2218yescomplemented
98#19099159C2218yescomplemented
99#19099156C2218yescomplemented
100#19099155C2218yescomplemented
101#19099154C2218yescomplemented
102#19099154C2218yescomplemented
103#19099153C2214yescomplemented
104#19099152C2218yescomplemented
105#19099147C2218yescomplemented
106#19099147C2218yescomplemented
107#19099147C2218yescomplemented
108#19099143C2214yescomplemented
109#19099143C2218yescomplemented
110#19099139C2212yescomplemented
111#19099138C2214yescomplemented
112#19099138C2218yescomplemented
113#19099138C2214yescomplemented
114#19099138C2212yescomplemented
115#19099137C2212yescomplemented
116#19099134C2211yescharacteristic
117#19099133C2214yescomplemented
118#19099127C2211yescharacteristic, complemented
119#19099126C2212yes—
120#19099124C2214yes—
121#19099124C2214yescomplemented
122#19099112C2212yescomplemented
123#19099112C2214yescomplemented
124#19099109C2212yescomplemented
125C2×#14579159C2212yescomplemented
126C4⋊Q8×D79C2214yescomplemented
127#19099100C2218yescomplemented
128#19099099C2214yescomplemented
129#19099098C2214yescomplemented
130#19099097C2212yescomplemented
131#19099093C2214yescomplemented
132#126×D79C2218yescomplemented
133#125×D79C2214yescomplemented
134C2×#14579149C2211yescharacteristic, complemented
135#124×D79C2212yes—
136#19099075C2212yescomplemented
137#19099072C2214yescomplemented
138#19099072C2218yescomplemented
139#19099070C2212yes—
140#123×D79C2214yes—
141#123×D79C2214yescomplemented
142C22⋊Q8×D79C2218yescomplemented
143C22⋊Q8×D79C2214yescomplemented
144#19099045C2214yescomplemented
145#19099037C2212yescomplemented
146C4×#11929624C2211yescharacteristic, complemented
147#19099031C2212yescomplemented
148#563×C79C2212yescomplemented
149#563×C79C2212yescomplemented
150#559×C79C2212yescomplemented
151Q82×C79C2212yescomplemented
152#556×C79C2214yescomplemented
153D4×Q8×C79C2214yescomplemented
154#542×C79C2218yescomplemented
155#536×C79C2212yes—
156#536×C79C2212yescomplemented
157#533×C79C2212yescomplemented
158#532×C79C2211yescharacteristic
159#14579209—48no—
160#14579208—44no—
161#14579207—44no—
162C2×#11929625—48no—
163C2×#11929625C2314yes—
164C2×#11929625C2312yes—
165C2×#11929625C2314yes—
166C2×#11929625C2314yes—
167C2×#11929625C2318yes—
168C2×#11929624C2311yescharacteristic
169C2×#11929624C2312yes—
170C2×#11929624C2312yes—
171C2×#11929624C2312yes—
172C2×#11929624C2318yes—
173C2×#11929623C2314yes—
174C2×#11929623C2312yes—
175C22×Dic158C2312yes—
176C22×Dic158C2311yescharacteristic
177C2×Q8×D79C2312yes—
178C2×Q8×D79C2314yes—
179C2×Q8×D79C2314yes—
180C22×D316C2312yes—
181C22×D316C2311yescharacteristic
182C22×D316C2314yes—
183C2×D4×D79C2314yes—
184C2×D4×D79C2312yes—
185C22×C4×D79C2314yes—
186C22×C4×D79C2312yes—
187#14579161C2314yes—
188#14579160C2318yes—
189#14579160C2318yes—
190#14579159C2314yes—
191#14579159C2314yes—
192#14579159C2314yes—
193#14579159C2312yes—
194#14579159C2318yes—
195#14579159C2312yes—
196#14579159C2314yes—
197#14579157C2312yes—
198#14579157C2312yes—
199#14579156C2318yes—
200#14579156C2318yes—
201#14579156C2318yes—
202#14579156C2314yes—
203#14579156C2318yes—
204#14579155C2318yes—
205#14579155C2318yes—
206#14579155C2318yes—
207#14579155C2314yes—
208#14579154C2318yes—
209#14579154C2318yes—
210#14579154C2318yes—
211#14579154C2318yes—
212#14579154C2314yes—
213#14579153C2318yes—
214#14579153C2318yes—
215#14579153C2312yes—
216#14579152C2314yes—
217#14579152C2318yes—
218#14579152C2314yes—
219#14579152C2314yes—
220#14579151C2318yes—
221#14579151C2318yes—
222#14579151C2318yes—
223#14579151C2318yes—
224#14579151C2314yes—
225#14579150C2314yes—
226#14579150C2312yes—
227#14579150C2318yes—
228#14579150C2312yes—
229#14579150C2318yes—
230#14579149C2314yes—
231#14579149C2312yes—
232#14579149C2318yes—
233#14579149C2314yes—
234#14579149C2312yes—
235#14579149C2312yes—
236#14579148C2312yes—
237#14579148C2312yes—
238#14579147C2318yes—
239#14579147C2314yes—
240#14579146C2318yes—
241#14579146C2318yes—
242#14579146C2318yes—
243#14579146C2318yes—
244#14579146C2318yes—
245#14579146C2318yes—
246#14579146C2318yes—
247#14579146C2318yes—
248#14579146C2318yes—
249#14579146C2318yes—
250#14579146C2314yes—
251#14579145C2318yes—
252#14579145C2318yes—
253#14579145C2314yes—
254#14579145C2314yes—
255#14579144C2314yes—
256#14579144C2314yes—
257#14579144C2314yes—
258#14579143C2318yes—
259#14579143C2318yes—
260#14579143C2318yes—
261#14579143C2318yes—
262#14579143C2314yes—
263#14579143C2318yes—
264#14579143C2318yes—
265#14579142C2314yes—
266#14579142C2314yes—
267#14579142C2312yes—
268#14579142C2312yes—
269#14579141C2314yes—
270#14579141C2314yes—
271#14579141C2314yes—
272#14579141C2318yes—
273#14579140C2318yes—
274#14579140C2314yes—
275#14579140C2312yes—
276#14579139C2318yes—
277#14579139C2314yes—
278#14579139C2318yes—
279#14579139C2318yes—
280#14579139C2318yes—
281#14579139C2318yes—
282#14579139C2318yes—
283#14579139C2318yes—
284#14579139C2318yes—
285#14579138C2314yes—
286#14579138C2318yes—
287#14579138C2318yes—
288#14579138C2318yes—
289#14579138C2314yes—
290#14579137C2318yes—
291#14579137C2318yes—
292#14579137C2314yes—
293#14579137C2318yes—
294#14579137C2318yes—
295#14579137C2318yes—
296#14579137C2318yes—
297#14579137C2314yes—
298#14579136C2314yes—
299#14579136C2318yes—
300#14579136C2318yes—
301#14579136C2314yes—
302#14579136C2318yes—
303#14579136C2318yes—
304#14579135C2318yes—
305#14579135C2314yes—
306#14579135C2312yes—
307#14579134C2318yes—
308#14579134C2314yes—
309#14579134C2318yes—
310#14579134C2318yes—
311#14579134C2318yes—
312#14579134C2318yes—
313#14579134C2318yes—
314#14579134C2318yes—
315#14579133C2314yes—
316#14579133C2314yes—
317#14579133C2318yes—
318#14579133C2314yes—
319#14579133C2314yes—
320#14579132C2314yes—
321#14579131C2314yes—
322#14579131C2318yes—
323#14579131C2318yes—
324#14579131C2314yes—
325#14579129C2314yes—
326#14579129C2314yes—
327#14579129C2318yes—
328#14579129C2312yes—
329#14579129C2312yes—
330Q8×Dic79C2314yes—
331C4×Dic158C2312yes—
332C4×Dic158C2312yes—
333#14579126C2314yes—
334#14579126C2314yes—
335C4×D316C2318yes—
336C4×D316C2318yes—
337C4×D316C2318yes—
338C4×D316C2318yes—
339C4×D316C2318yes—
340C4×D316C2312yes—
341C4×D316C2312yes—
342#14579123C2314yes—
343#14579123C2318yes—
344#14579123C2314yes—
345#14579123C2314yes—
346C4×C22⋊D79C2318yes—
347C4×C22⋊D79C2318yes—
348C4×C22⋊D79C2314yes—
349C4×C22⋊D79C2314yes—
350C4×C22⋊D79C2314yes—
351C4×C22⋊D79C2314yes—
352(C22⋊D79)⋊C4C2318yes—
353(C22⋊D79)⋊C4C2318yes—
354(C22⋊D79)⋊C4C2318yes—
355(C22⋊D79)⋊C4C2318yes—
356(C22⋊D79)⋊C4C2318yes—
357#14579120C2312yes—
358#14579120C2311yescharacteristic
359#14579119C2318yes—
360#14579119C2318yes—
361#14579118C2314yes—
362#14579118C2314yes—
363#14579118C2318yes—
364#14579118C2312yes—
365#14579118C2318yes—
366#14579118C2318yes—
367C2×Dic79⋊C4C2318yes—
368C4⋊C4×D79C2318yes—
369C4⋊C4×D79C2314yes—
370C4⋊C4×D79C2318yes—
371C4⋊C4×D79C2318yes—
372C4⋊C4×D79C2318yes—
373C4⋊C4×D79C2318yes—
374C4⋊C4×D79C2314yes—
375C4⋊C4×D79C2314yes—
376C2×(C2×D79)⋊C4C2314yes—
377C22⋊C4×D79C2314yes—
378C22⋊C4×D79C2318yes—
379C22⋊C4×D79C2318yes—
380C22⋊C4×D79C2318yes—
381C22⋊C4×D79C2318yes—
382C22⋊C4×D79C2314yes—
383C2×C4×Dic79C2312yes—
384C42×D79C2314yes—
385C42×D79C2312yes—
386C2×#41×C79C2311yescharacteristic
387C2×#41×C79C2311yescharacteristic
388C22×Q8×C79C2312yes—
389C22×Q8×C79C2312yes—
390C4⋊Q8×C79C2312yes—
391C4⋊Q8×C79C2311yescharacteristic
392C4⋊Q8×C79C2318yes—
393C4⋊Q8×C79C2314yes—
394C4⋊Q8×C79C2312yes—
395C4⋊Q8×C79C2314yes—
396#127×C79C2311yescharacteristic
397#126×C79C2318yes—
398#126×C79C2318yes—
399#125×C79C2314yes—
400#124×C79C2318yes—
401#124×C79C2314yes—
402#124×C79C2314yes—
403#124×C79C2311yescharacteristic
404#124×C79C2311yescharacteristic
405#123×C79C2314yes—
406#123×C79C2314yes—
407#123×C79C2314yes—
408#123×C79C2314yes—
409C22⋊Q8×C79C2318yes—
410C22⋊Q8×C79C2314yes—
411C22⋊Q8×C79C2314yes—
412C22⋊Q8×C79C2314yes—
413C22⋊Q8×C79C2318yes—
414C22⋊Q8×C79C2314yes—
415#121×C79C2314yes—
416C4×Q8×C79C2314yes—
417C4×Q8×C79C2314yes—
418C4×Q8×C79C2318yes—
419C4×D4×C79C2318yes—
420C4×D4×C79C2314yes—
421#117×C79C2312yes—
422#117×C79C2314yes—
423#117×C79C2312yes—
424C2×C42×C79C2311yescharacteristic
425C23×D79C2414yes—
426C23×D79C2412yes—
427C23×D79C2412yes—
428#11929625—216no—
429#11929625—48no—
430#11929625—416no—
431#11929625—44no—
432#11929625—48no—
433#11929624—24no—
434#11929624—28no—
435#11929624—416no—
436#11929624—44no—
437#11929624—44no—
438#11929623—48no—
439#11929623—44no—
440C2×Dic158—42no—
441C2×Dic158—44no—
442C2×Dic158C2412yes—
443C2×Dic158C2411yescharacteristic
444C2×Dic158C2418yes—
445C2×Dic158C2412yes—
446C2×Dic158C2414yes—
447C2×Dic158C2412yes—
448C2×Dic158C2412yes—
449Q8×D79—48no—
450Q8×D79—44no—
451Q8×D79—48no—
452C2×D316—28no—
453C2×D316—42no—
454C2×D316—48no—
455C2×D316C2418yes—
456C2×D316C2412yes—
457C2×D316C2414yes—
458C2×D316C2412yes—
459C2×D316C2418yes—
460C2×D316C2412yes—
461C2×D316C2412yes—
462C2×D316C2418yes—
463C2×D316C2411yescharacteristic
464C2×C22⋊D79C2414yes—
465C2×C22⋊D79C2412yes—
466C2×C22⋊D79C2414yes—
467C2×C22⋊D79C2414yes—
468C2×C22⋊D79C2418yes—
469C2×C22⋊D79C2414yes—
470C2×C22⋊D79C2414yes—
471C2×C22⋊D79C2414yes—
472D4×D79—48no—
473D4×D79—44no—
474C22×Dic79C2412yes—
475C22×Dic79C2414yes—
476C22×Dic79C2414yes—
477C22×Dic79C2412yes—
478C2×C4×D79—44no—
479C2×C4×D79—48no—
480C2×C4×D79C2414yes—
481C2×C4×D79C2412yes—
482C2×C4×D79C2418yes—
483C2×C4×D79C2414yes—
484C2×C4×D79C2418yes—
485C2×C4×D79C2414yes—
486C2×C4×D79C2418yes—
487C2×C4×D79C2414yes—
488C2×C4×D79C2418yes—
489C2×C4×D79C2414yes—
490C2×C4×D79C2418yes—
491C2×C4×D79C2418yes—
492C4⋊Dic79C2412yes—
493C4⋊Dic79C2418yes—
494C4⋊Dic79C2418yes—
495C4⋊Dic79C2412yes—
496C4⋊Dic79C2412yes—
497C4⋊Dic79C2418yes—
498C4⋊Dic79C2418yes—
499C4⋊Dic79C2414yes—
500Dic79⋊C4C2418yes—
501Dic79⋊C4C2414yes—
502Dic79⋊C4C2414yes—
503Dic79⋊C4C2414yes—
504Dic79⋊C4C2418yes—
505Dic79⋊C4C2414yes—
506Dic79⋊C4C2418yes—
507Dic79⋊C4C2418yes—
508Dic79⋊C4C2418yes—
509Dic79⋊C4C2418yes—
510Dic79⋊C4C2418yes—
511Dic79⋊C4C2418yes—
512Dic79⋊C4C2414yes—
513Dic79⋊C4C2414yes—
514Dic79⋊C4C2418yes—
515Dic79⋊C4C2414yes—
516C22⋊Dic79C2412yes—
517C22⋊Dic79C2412yes—
518C22⋊Dic79C2414yes—
519C22⋊Dic79C2418yes—
520C22⋊Dic79C2414yes—
521C22⋊Dic79C2412yes—
522C22⋊Dic79C2414yes—
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)⋊C4C2418yes—
531(C2×D79)⋊C4C2418yes—
532(C2×D79)⋊C4C2418yes—
533(C2×D79)⋊C4C2414yes—
534(C2×D79)⋊C4C2414yes—
535(C2×D79)⋊C4C2414yes—
536(C2×D79)⋊C4C2414yes—
537(C2×D79)⋊C4C2414yes—
538(C2×D79)⋊C4C2418yes—
539(C2×D79)⋊C4C2414yes—
540(C2×D79)⋊C4C2414yes—
541C4×Dic79C2412yes—
542C4×Dic79C2418yes—
543C4×Dic79C2412yes—
544C4×Dic79C2414yes—
545C4×Dic79C2412yes—
546C4×Dic79C2414yes—
547C4×Dic79C2418yes—
548#41×C79—42no—
549#41×C79—42no—
550C2×Q8×C79—44no—
551C2×Q8×C79—44no—
552C2×Q8×C79C2414yes—
553C2×Q8×C79C2411yescharacteristic
554C2×Q8×C79C2414yes—
555C2×Q8×C79C2414yes—
556C2×Q8×C79C2411yescharacteristic
557C2×Q8×C79C2414yes—
558C2×D4×C79C2412yes—
559C2×D4×C79C2411yescharacteristic
560C2×D4×C79C2414yes—
561C2×D4×C79C2412yes—
562C2×D4×C79C2411yescharacteristic
563C22×C4×C79C2412yes—
564C22×C4×C79C2411yescharacteristic
565C22×C4×C79C2412yes—
566C22×C4×C79C2414yes—
567C22×C4×C79C2412yes—
568C22×C4×C79C2414yes—
569C4⋊C4×C79C2414yes—
570C4⋊C4×C79C2414yes—
571C4⋊C4×C79C2414yes—
572C4⋊C4×C79C2414yes—
573C4⋊C4×C79C2414yes—
574C4⋊C4×C79C2418yes—
575C4⋊C4×C79C2418yes—
576C4⋊C4×C79C2418yes—
577C4⋊C4×C79C2418yes—
578C22⋊C4×C79C2418yes—
579C22⋊C4×C79C2414yes—
580C22⋊C4×C79C2414yes—
581C22⋊C4×C79C2414yes—
582C22⋊C4×C79C2414yes—
583C22⋊C4×C79C2418yes—
584C22⋊C4×C79C2418yes—
585C42×C79C2412yes—
586C42×C79C2411yescharacteristic
587C42×C79C2411yescharacteristic
588C42×C79C2418yes—
589C42×C79C2414yes—
590C42×C79C2414yes—
591C23×C79C2512yes—
592C23×C79C2511yescharacteristic
593C23×C79C2512yes—
594C22×D79—28no—
595C22×D79—42no—
596C22×D79—48no—
597C22×D79—44no—
598C22×D79—42no—
599C22×D79—44no—
600C22×D79C2514yes—
601C22×D79C2514yes—
602C22×D79C2512yes—
603Q8×C79—28no—
604Q8×C79—41no—
605Q8×C79—44no—
606Q8×C79—44no—
607Q8×C79—41no—
608Q8×C79—44no—
609D4×C79—41no—
610D4×C79—42no—
611D4×C79—41no—
612D4×C79—42no—
613D4×C79—44no—
614C2×C4×C79—24no—
615C2×C4×C79—22no—
616C2×C4×C79—24no—
617C2×C4×C79—44no—
618C2×C4×C79—44no—
619C2×C4×C79—42no—
620C2×C4×C79C2512yes—
621C2×C4×C79C2512yes—
622C2×C4×C79C2511yescharacteristic
623C2×C4×C79C2518yes—
624C2×C4×C79C2518yes—
625C2×C4×C79C2512yes—
626C2×C4×C79C2512yes—
627C2×C4×C79C2511yescharacteristic
628C22⋊D79—24no—
629C22⋊D79—28no—
630C22⋊D79—44no—
631C22⋊D79—48no—
632C22⋊D79—44no—
633C22⋊D79—44no—
634C22⋊D79—44no—
635C22⋊D79—44no—
636C2×Dic79—42no—
637C2×Dic79—44no—
638C2×Dic79—44no—
639C2×Dic79—42no—
640C2×Dic79C2514yes—
641C2×Dic79C2514yes—
642C2×Dic79C2514yes—
643C2×Dic79C2514yes—
644C2×Dic79C2512yes—
645C2×Dic79C2514yes—
646D316—28no—
647D316—216no—
648D316—24no—
649D316—42no—
650D316—48no—
651D316—42no—
652D316—48no—
653D316—42no—
654D316H(5,𝔽2)14yes—
655C4×D79—216no—
656C4×D79—24no—
657C4×D79—28no—
658C4×D79—28no—
659C4×D79—44no—
660C4×D79—48no—
661C4×D79—44no—
662C4×D79—48no—
663C4×D79—48no—
664C4×D79—48no—
665C4×D79—44no—
666C4×D79—48no—
667Dic158—24no—
668Dic158—22no—
669Dic158—48no—
670Dic158—42no—
671Dic158—44no—
672Dic158—42no—
673Dic158—42no—
674C22×C79—22no—
675C22×C79—21no—
676C22×C79—22no—
677C22×C79—24no—
678C22×C79—22no—
679C22×C79—24no—
680C22×C79C2611yescharacteristic
681C2×D79—24no—
682C2×D79—24no—
683C2×D79—24no—
684C2×D79—24no—
685C2×D79—28no—
686C2×D79—24no—
687C2×D79—88no—
688C2×D79—84no—
689C2×D79—162no—
690C2×D79C2×H(5,𝔽2)14yes—
691C4×C79—21no—
692C4×C79—22no—
693C4×C79—22no—
694C4×C79—28no—
695C4×C79—22no—
696C4×C79—22no—
697C4×C79—28no—
698C4×C79C2×H(5,𝔽2)12yes—
699Dic79—22no—
700Dic79—24no—
701Dic79—24no—
702Dic79—24no—
703Dic79—24no—
704Dic79—24no—
705#63063—791nomaximal, Sylow
706C2×C79—42no—
707C2×C79—41no—
708C2×C79—42no—
709C2×C79C22×H(5,𝔽2)11yescharacteristic
710C2×C792−1+612yes—
711D79—24no—
712D79—44no—
713D79—44no—
714#3561—792no—
715#3560—798no—
716#3559—794no—
717#3552—794no—
718#3551—792no—
719#3550D7911yescharacteristic, complemented
720#3545—792no—
721#3544—794no—
722#3541—794no—
723#3538—792no—
724#3535—798no—
725#3533—794no—
726#3529—791no—
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—791no—
736C2×2−1+4—792no—
737C2×H(5,𝔽2)—791no—
738C22×#41—792no—
739#563—794no—
740#563—792no—
741#563—798no—
742#563—798no—
743#563—794no—
744#563—791no—
745#563—794no—
746#563—794no—
747#563—798no—
748#563C2×D7912yescomplemented
749#563C2×D7912yescomplemented
750#562—794no—
751#562—792no—
752#562—798no—
753#562—794no—
754H(3,𝔽4)—791no—
755#560—792no—
756#560—794no—
757#560—794no—
758#559C2×D7912yescomplemented
759Q82C2×D7912yescomplemented
760#557—792no—
761#556—794no—
762#556C2×D7914yescomplemented
763#555—794no—
764#554—792no—
765#554—792no—
766#554—798no—
767#554—798no—
768#553—798no—
769#553—798no—
770#553—798no—
771#553—794no—
772#553—794no—
773#552—794no—
774#552—798no—
775#552—798no—
776#552—794no—
777#552—794no—
778#551—798no—
779#551—798no—
780#551—794no—
781#551—794no—
782#551—794no—
783#551—798no—
784D4×Q8—794no—
785D4×Q8—794no—
786D4×Q8—794no—
787D4×Q8C2×D7914yescomplemented
788#548—794no—
789#548—794no—
790#548—794no—
791#547—798no—
792#547—792no—
793#547—798no—
794#547—798no—
795#547—798no—
796#547—794no—
797#547—794no—
798#547—794no—
799#547—798no—
800#546—798no—
801#546—794no—
802#546—794no—
803#546—798no—
804#546—798no—
805#546—794no—
806#546—798no—
807#544—798no—
808#544—798no—
809#543—794no—
810#542—794no—
811#542—798no—
812#542—798no—
813#542—798no—
814#542C2×D7918yescomplemented
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—798no—
827#538—798no—
828#538—794no—
829#537—794no—
830#537—798no—
831#536—791no—
832#536—792no—
833#536—798no—
834#536—794no—
835#536—794no—
836#536—792no—
837#536—794no—
838#536—792no—
839#536C2×D7912yes—
840#536C2×D7912yescomplemented
841#535—791no—
842#535—792no—
843#534—794no—
844#534—794no—
845#533C2×D7912yescomplemented
846#532—792no—
847#532—794no—
848#532—792no—
849#532C2×D7911yescharacteristic
850C2×C4⋊Q8—792no—
851C2×C4⋊Q8—794no—
852#529—794no—
853#529—794no—
854#529—798no—
855#529—794no—
856#529—792no—
857C2×#126—798no—
858C2×#125—794no—
859C2×#124—792no—
860C2×#124—791no—
861#525—792no—
862#525—794no—
863#525—798no—
864#525—792no—
865C2×#123—794no—
866C2×#123—794no—
867C2×C22⋊Q8—798no—
868C2×C22⋊Q8—794no—
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—794no—
878C2×#41—792no—
879C2×#41—798no—
880C2×#41—794no—
881C2×#41—794no—
882C2×#41—792no—
883C2×#41—794no—
884C2×#41—792no—
885C2×#41—792no—
886C2×#41—798no—
887C2×#41—792no—
888C2×#41—791no—
889C2×#41C22×D7911yescharacteristic
890C2×#41C22×D7911yescharacteristic
891C22×Q8—794no—
892C22×Q8—794no—
893C22×Q8—792no—
894C22×Q8—791no—
895C22×Q8—792no—
896C22×Q8C22×D7912yes—
897C22×Q8C22×D7912yes—
898C22×D4—792no—
899C22×D4—794no—
900C22×D4—791no—
901C22×D4—794no—
902C22×D4—792no—
903C23×C4—794no—
904C23×C4—792no—
905C4⋊Q8—792no—
906C4⋊Q8—794no—
907C4⋊Q8—794no—
908C4⋊Q8—794no—
909C4⋊Q8—794no—
910C4⋊Q8—792no—
911C4⋊Q8—798no—
912C4⋊Q8—798no—
913C4⋊Q8—798no—
914C4⋊Q8—794no—
915C4⋊Q8C22×D7914yes—
916C4⋊Q8C22×D7911yescharacteristic
917C4⋊Q8C22×D7912yes—
918C4⋊Q8C22×D7912yes—
919C4⋊Q8C22×D7918yes—
920C4⋊Q8C22×D7914yes—
921#127—792no—
922#127—792no—
923#127C22×D7911yescharacteristic
924#126—798no—
925#126—798no—
926#126—798no—
927#126—794no—
928#126—798no—
929#126—794no—
930#126—798no—
931#126—798no—
932#126—798no—
933#126—798no—
934#126—798no—
935#126—794no—
936#126—798no—
937#126—798no—
938#126C22×D7918yes—
939#126C22×D7918yes—
940#125—794no—
941#125—794no—
942#125—798no—
943#125—798no—
944#125—798no—
945#125—794no—
946#125—794no—
947#125—798no—
948#125—798no—
949#125—792no—
950#125—798no—
951#125—798no—
952#125C22×D7914yes—
953#124—792no—
954#124—794no—
955#124—798no—
956#124—792no—
957#124—798no—
958#124—792no—
959#124—792no—
960#124—798no—
961#124—794no—
962#124—792no—
963#124—792no—
964#124—794no—
965#124—792no—
966#124—794no—
967#124—798no—
968#124C22×D7911yescharacteristic
969#124C22×D7911yescharacteristic
970#124C22×D7914yes—
971#124C22×D7914yes—
972#124C22×D7918yes—
973#123—792no—
974#123—792no—
975#123—794no—
976#123—794no—
977#123—794no—
978#123—794no—
979#123—794no—
980#123—798no—
981#123—798no—
982#123—798no—
983#123—794no—
984#123—798no—
985#123—798no—
986#123—798no—
987#123—798no—
988#123—798no—
989#123—798no—
990#123—798no—
991#123—794no—
992#123—798no—
993#123—798no—
994#123—798no—
995#123—794no—
996#123—798no—
997#123—794no—
998#123—798no—
999#123—798no—
1000#123—798no—
1001#123—798no—
1002#123C22×D7914yes—
1003#123C22×D7914yes—
1004#123C22×D7914yes—
1005#123C22×D7914yes—
1006C22⋊Q8—794no—
1007C22⋊Q8—798no—
1008C22⋊Q8—794no—
1009C22⋊Q8—798no—
1010C22⋊Q8—798no—
1011C22⋊Q8—798no—
1012C22⋊Q8—798no—
1013C22⋊Q8—798no—
1014C22⋊Q8—794no—
1015C22⋊Q8—798no—
1016C22⋊Q8—792no—
1017C22⋊Q8—798no—
1018C22⋊Q8—798no—
1019C22⋊Q8—798no—
1020C22⋊Q8—794no—
1021C22⋊Q8—798no—
1022C22⋊Q8—798no—
1023C22⋊Q8—794no—
1024C22⋊Q8—794no—
1025C22⋊Q8—794no—
1026C22⋊Q8—798no—
1027C22⋊Q8—798no—
1028C22⋊Q8—798no—
1029C22⋊Q8—798no—
1030C22⋊Q8—794no—
1031C22⋊Q8—798no—
1032C22⋊Q8—794no—
1033C22⋊Q8—798no—
1034C22⋊Q8—798no—
1035C22⋊Q8C22×D7914yes—
1036C22⋊Q8C22×D7918yes—
1037C22⋊Q8C22×D7914yes—
1038C22⋊Q8C22×D7914yes—
1039C22⋊Q8C22×D7914yes—
1040C22⋊Q8C22×D7918yes—
1041#121—794no—
1042#121—794no—
1043#121—794no—
1044#121—794no—
1045#121—794no—
1046#121—798no—
1047#121—794no—
1048#121—792no—
1049#121—798no—
1050#121—794no—
1051#121—798no—
1052#121—794no—
1053#121—798no—
1054#121—798no—
1055#121—798no—
1056#121—798no—
1057#121—794no—
1058#121—798no—
1059#121—798no—
1060#121—798no—
1061#121—798no—
1062#121—798no—
1063#121—798no—
1064#121C22×D7914yes—
1065#120—792no—
1066#120—792no—
1067#120—798no—
1068#120—794no—
1069#120—794no—
1070#120—794no—
1071#120—798no—
1072#120—794no—
1073#120—798no—
1074C4×Q8—794no—
1075C4×Q8—794no—
1076C4×Q8—794no—
1077C4×Q8—792no—
1078C4×Q8—792no—
1079C4×Q8C22×D7914yes—
1080C4×Q8C22×D7918yes—
1081C4×Q8C22×D7914yes—
1082C4×D4—794no—
1083C4×D4—794no—
1084C4×D4—794no—
1085C4×D4—794no—
1086C4×D4—798no—
1087C4×D4—798no—
1088C4×D4—794no—
1089C4×D4—794no—
1090C4×D4—798no—
1091C4×D4—794no—
1092C4×D4—798no—
1093C4×D4—798no—
1094C4×D4—798no—
1095C4×D4—798no—
1096C4×D4—798no—
1097C4×D4—792no—
1098C4×D4—798no—
1099C4×D4—798no—
1100C4×D4—792no—
1101C4×D4—798no—
1102C4×D4—798no—
1103C4×D4—798no—
1104C4×D4C22×D7914yes—
1105C4×D4C22×D7918yes—
1106#117—791no—
1107#117—792no—
1108#117—798no—
1109#117—798no—
1110#117—792no—
1111#117—794no—
1112#117—794no—
1113#117—798no—
1114#117—798no—
1115#117—798no—
1116#117C22×D7912yes—
1117#117C22×D7912yes—
1118#117C22×D7914yes—
1119C2×C4⋊C4—798no—
1120C2×C4⋊C4—798no—
1121C2×C4⋊C4—794no—
1122C2×C4⋊C4—794no—
1123C2×C4⋊C4—798no—
1124C2×C4⋊C4—798no—
1125C2×C4⋊C4—798no—
1126C2×C4⋊C4—798no—
1127C2×C4⋊C4—794no—
1128C2×C22⋊C4—794no—
1129C2×C22⋊C4—794no—
1130C2×C22⋊C4—794no—
1131C2×C22⋊C4—798no—
1132C2×C22⋊C4—798no—
1133C2×C22⋊C4—798no—
1134C2×C22⋊C4—798no—
1135C2×C42—792no—
1136C2×C42—792no—
1137C2×C42—794no—
1138C2×C42C22×D7911yescharacteristic
1139C24—792no—
1140C24—792no—
1141C24—794no—
1142#41—42no—
1143#41—42no—
1144#41—3164no—
1145#41—3164no—
1146#41—31616no—
1147#41—3164no—
1148#41—3168no—
1149#41—3168no—
1150#41—31616no—
1151#41—3164no—
1152#41—3168no—
1153#41—1584no—
1154#41—1588no—
1155#41—15816no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—3162no—
1159C2×Q8—3164no—
1160C2×Q8—3168no—
1161C2×Q8—3168no—
1162C2×Q8—3164no—
1163C2×Q8—792no—
1164C2×Q8—798no—
1165C2×Q8—792no—
1166C2×Q8—792no—
1167C2×Q8—794no—
1168C2×Q8—792no—
1169C2×Q8—791no—
1170C2×Q8C23×D7914yes—
1171C2×Q8C23×D7914yes—
1172C2×Q8C23×D7914yes—
1173C2×Q8C23×D7911yescharacteristic
1174C2×Q8C23×D7914yes—
1175C2×Q8C23×D7911yescharacteristic
1176C2×D4—3162no—
1177C2×D4—3168no—
1178C2×D4—3168no—
1179C2×D4—3164no—
1180C2×D4—794no—
1181C2×D4—794no—
1182C2×D4—798no—
1183C2×D4—794no—
1184C2×D4—794no—
1185C2×D4—794no—
1186C2×D4—794no—
1187C2×D4—792no—
1188C2×D4—798no—
1189C2×D4—792no—
1190C2×D4—792no—
1191C2×D4—798no—
1192C2×D4—792no—
1193C2×D4—791no—
1194C2×D4—798no—
1195C2×D4—794no—
1196C2×D4—792no—
1197C2×D4—1588no—
1198C2×D4C23×D7914yes—
1199C2×D4C23×D7912yes—
1200C2×D4C23×D7911yescharacteristic
1201C2×D4C23×D7912yes—
1202C2×D4C23×D7911yescharacteristic
1203C22×C4—3164no—
1204C22×C4—3168no—
1205C22×C4—794no—
1206C22×C4—792no—
1207C22×C4—794no—
1208C22×C4—792no—
1209C22×C4—794no—
1210C22×C4—798no—
1211C22×C4—798no—
1212C22×C4—798no—
1213C22×C4—798no—
1214C22×C4—798no—
1215C22×C4—794no—
1216C22×C4—794no—
1217C22×C4—794no—
1218C22×C4—792no—
1219C22×C4—798no—
1220C22×C4—794no—
1221C22×C4C23×D7912yes—
1222C22×C4C23×D7911yescharacteristic
1223C22×C4C23×D7912yes—
1224C22×C4C23×D7912yes—
1225C22×C4C23×D7914yes—
1226C22×C4C23×D7914yes—
1227C4⋊C4—794no—
1228C4⋊C4—798no—
1229C4⋊C4—798no—
1230C4⋊C4—798no—
1231C4⋊C4—794no—
1232C4⋊C4—798no—
1233C4⋊C4—794no—
1234C4⋊C4—794no—
1235C4⋊C4—798no—
1236C4⋊C4—798no—
1237C4⋊C4—798no—
1238C4⋊C4—798no—
1239C4⋊C4—794no—
1240C4⋊C4—794no—
1241C4⋊C4—794no—
1242C4⋊C4—798no—
1243C4⋊C4—792no—
1244C4⋊C4—792no—
1245C4⋊C4—798no—
1246C4⋊C4—798no—
1247C4⋊C4—792no—
1248C4⋊C4—798no—
1249C4⋊C4—798no—
1250C4⋊C4—794no—
1251C4⋊C4C23×D7918yes—
1252C4⋊C4C23×D7918yes—
1253C4⋊C4C23×D7918yes—
1254C4⋊C4C23×D7914yes—
1255C4⋊C4C23×D7914yes—
1256C4⋊C4C23×D7914yes—
1257C4⋊C4C23×D7918yes—
1258C4⋊C4C23×D7914yes—
1259C4⋊C4C23×D7914yes—
1260C22⋊C4—792no—
1261C22⋊C4—792no—
1262C22⋊C4—794no—
1263C22⋊C4—798no—
1264C22⋊C4—794no—
1265C22⋊C4—792no—
1266C22⋊C4—794no—
1267C22⋊C4—798no—
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—794no—
1278C22⋊C4—794no—
1279C22⋊C4—794no—
1280C22⋊C4—794no—
1281C22⋊C4—794no—
1282C22⋊C4—798no—
1283C22⋊C4—794no—
1284C22⋊C4—794no—
1285C22⋊C4C23×D7914yes—
1286C22⋊C4C23×D7918yes—
1287C22⋊C4C23×D7914yes—
1288C22⋊C4C23×D7918yes—
1289C22⋊C4C23×D7914yes—
1290C22⋊C4C23×D7914yes—
1291C22⋊C4C23×D7918yes—
1292C42—792no—
1293C42—792no—
1294C42—792no—
1295C42—794no—
1296C42—798no—
1297C42—794no—
1298C42—798no—
1299C42C23×D7911yescharacteristic
1300C42C23×D7914yes—
1301C42C23×D7912yes—
1302C42C23×D7911yescharacteristic
1303C42C23×D7914yes—
1304C42C23×D7918yes—
1305C23—3162no—
1306C23—3164no—
1307C23—3168no—
1308C23—3162no—
1309C23—3164no—
1310C23—792no—
1311C23—794no—
1312C23—794no—
1313C23—1588no—
1314C23C24×D7912yes—
1315C23C24×D7911yescharacteristic
1316C23C24×D7912yes—
1317Q8—28no—
1318Q8—44no—
1319Q8—44no—
1320Q8—41no—
1321Q8—44no—
1322Q8—41no—
1323Q8—3162no—
1324Q8—3162no—
1325Q8—3164no—
1326Q8—3168no—
1327Q8—3162no—
1328Q8—1584no—
1329Q8—1582no—
1330D4—42no—
1331D4—41no—
1332D4—44no—
1333D4—41no—
1334D4—42no—
1335D4—3162no—
1336D4—3168no—
1337D4—3162no—
1338D4—3162no—
1339D4—3168no—
1340D4—3164no—
1341D4—3164no—
1342D4—3168no—
1343D4—3164no—
1344D4—3164no—
1345D4—3164no—
1346D4—794no—
1347D4—1588no—
1348D4—15816no—
1349D4—1584no—
1350D4—1588no—
1351D4—1584no—
1352C2×C4—24no—
1353C2×C4—22no—
1354C2×C4—24no—
1355C2×C4—44no—
1356C2×C4—42no—
1357C2×C4—44no—
1358C2×C4—3164no—
1359C2×C4—3168no—
1360C2×C4—3164no—
1361C2×C4—3168no—
1362C2×C4—3164no—
1363C2×C4—3168no—
1364C2×C4—3168no—
1365C2×C4—3168no—
1366C2×C4—3162no—
1367C2×C4—3164no—
1368C2×C4—3162no—
1369C2×C4—3164no—
1370C2×C4—794no—
1371C2×C4—794no—
1372C2×C4—794no—
1373C2×C4—794no—
1374C2×C4—792no—
1375C2×C4—794no—
1376C2×C4—15816no—
1377C2×C4—1584no—
1378C2×C4—1588no—
1379C2×C4—1588no—
1380C2×C4C24×D7912yes—
1381C2×C4C24×D7912yes—
1382C2×C4C24×D7911yescharacteristic
1383C2×C4C24×D7918yes—
1384C2×C4C24×D7918yes—
1385C2×C4C24×D7912yes—
1386C2×C4C24×D7912yes—
1387C2×C4C24×D7911yescharacteristic
1388C22—22no—
1389C22—22no—
1390C22—21no—
1391C22—22no—
1392C22—24no—
1393C22—24no—
1394C22—794no—
1395C22—6324no—
1396C22—6328no—
1397C22—1584no—
1398C22—1584no—
1399C22—1584no—
1400C22—1588no—
1401C22—1584no—
1402C22—1584no—
1403C22—12642no—
1404C22C25×D7911yescharacteristic
1405C4—22no—
1406C4—21no—
1407C4—22no—
1408C4—28no—
1409C4—22no—
1410C4—22no—
1411C4—28no—
1412C4—1584no—
1413C4—1582no—
1414C4—1584no—
1415C4—1584no—
1416C4—1584no—
1417C4—1584no—
1418C4H(5,𝔽2)×D7912yes—
1419C2—42no—
1420C2—41no—
1421C2—42no—
1422C2—3164no—
1423C2—3164no—
1424C2—1584no—
1425C2C2×H(5,𝔽2)×D7911yescharacteristic
1426C2#2377821212yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3550C2
hypercenter#3550D79
hypocenterC79#63063
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3550

Complements

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

NH ≅ G/Ntype
1. #23777965C2semidirect
2. #23777955C2semidirect
3. #23777937C2semidirect
4. #23777843C2semidirect
5. #23777829C2semidirect
6. #23777758C2semidirect
7. #23777745C2semidirect
8. #23777700C2semidirect
9. #23777643C2semidirect
10. #23777602C2semidirect
11. #23777574C2semidirect
12. #23777536C2semidirect
13. #563×D79C2semidirect
14. #23777473C2semidirect
15. #23777373C2semidirect
16. #23777187C2semidirect
17. #23777182C2semidirect
18. #23777077C2semidirect
19. #23777043C2semidirect
20. C79×#3550C2semidirect
21. C2×#14579209C22semidirect
22. C2×#14579208C22semidirect
24. C22×#11929625C22semidirect
25. #19099317C22semidirect
26. #19099316C22semidirect
27. #19099315C22semidirect
28. #19099314C22semidirect
29. #19099313C22semidirect
30. #19099313C22semidirect
31. #19099312C22semidirect
32. #19099312C22semidirect
33. #19099312C22semidirect
34. #19099311C22semidirect
35. #19099308C22semidirect
36. #19099307C22semidirect
37. #19099307C22semidirect
38. #19099305C22semidirect
39. #19099303C22semidirect
40. #19099301C22semidirect
41. #19099300C22semidirect
42. #19099288C22semidirect
43. #19099285C22semidirect
44. #19099279C22semidirect
45. #19099274C22semidirect
46. #19099274C22semidirect
47. #19099273C22semidirect
48. #19099267C22semidirect
49. #19099264C22semidirect
50. #19099264C22semidirect
51. #19099262C22semidirect
52. #19099257C22semidirect
53. #19099257C22semidirect
54. #19099254C22semidirect
55. #19099254C22semidirect
56. #19099252C22semidirect
57. #19099252C22semidirect
58. #19099247C22semidirect
59. #19099243C22semidirect
60. #19099243C22semidirect
61. #19099241C22semidirect
62. #19099241C22semidirect
63. #19099238C22semidirect
64. #19099237C22semidirect
65. Q8×C22⋊D79C22semidirect
66. #19099226C22semidirect
67. #19099226C22semidirect
68. #19099225C22semidirect
69. #19099224C22semidirect
70. #19099222C22semidirect
71. #19099216C22semidirect
72. #19099216C22semidirect
73. #19099216C22semidirect
75. #19099215C22semidirect
76. #19099215C22semidirect
77. #19099215C22semidirect
78. #19099211C22semidirect
79. #19099211C22semidirect
80. #19099209C22semidirect
81. #19099209C22semidirect
84. #19099204C22semidirect
85. #19099204C22semidirect
86. #19099202C22semidirect
87. #19099190C22semidirect
88. #19099190C22semidirect
89. #19099188C22semidirect
90. #19099187C22semidirect
91. #19099185C22semidirect
92. #19099185C22semidirect
93. #19099183C22semidirect
94. #19099173C22semidirect
95. #19099171C22semidirect
96. #19099165C22semidirect
97. #19099162C22semidirect
98. #19099159C22semidirect
99. #19099156C22semidirect
100. #19099155C22semidirect
101. #19099154C22semidirect
102. #19099154C22semidirect
103. #19099153C22semidirect
104. #19099152C22semidirect
105. #19099147C22semidirect
106. #19099147C22semidirect
107. #19099147C22semidirect
108. #19099143C22semidirect
109. #19099143C22semidirect
110. #19099139C22semidirect
111. #19099138C22semidirect
112. #19099138C22semidirect
113. #19099138C22semidirect
114. #19099138C22semidirect
115. #19099137C22semidirect
117. #19099133C22semidirect
118. #19099127C22semidirect
121. #19099124C22semidirect
122. #19099112C22semidirect
123. #19099112C22semidirect
124. #19099109C22semidirect
125. C2×#14579159C22semidirect
126. C4⋊Q8×D79C22semidirect
127. #19099100C22semidirect
128. #19099099C22semidirect
129. #19099098C22semidirect
130. #19099097C22semidirect
131. #19099093C22semidirect
132. #126×D79C22semidirect
133. #125×D79C22semidirect
134. C2×#14579149C22semidirect
136. #19099075C22semidirect
137. #19099072C22semidirect
138. #19099072C22semidirect
141. #123×D79C22semidirect
142. C22⋊Q8×D79C22semidirect
143. C22⋊Q8×D79C22semidirect
144. #19099045C22semidirect
145. #19099037C22semidirect
146. C4×#11929624C22semidirect
147. #19099031C22semidirect
148. #563×C79C22semidirect
149. #563×C79C22semidirect
150. #559×C79C22semidirect
151. Q82×C79C22semidirect
152. #556×C79C22semidirect
153. D4×Q8×C79C22semidirect
154. #542×C79C22semidirect
156. #536×C79C22semidirect
157. #533×C79C22semidirect
719. #3550D79semidirect
734. C79#63063semidirect
748. #563C2×D79semidirect
749. #563C2×D79semidirect
758. #559C2×D79semidirect
759. Q82C2×D79semidirect
762. #556C2×D79semidirect
787. D4×Q8C2×D79semidirect
814. #542C2×D79semidirect
840. #536C2×D79semidirect
845. #533C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779652
#237779552
#237779372
#237778432
#237778292
#237777582
#237777452
#237777002
#237776432
#237776022
#237775742
#237775362
#563×D792
#237774732
#237773732
#237771872
#237771822
#237770772
#237770432
C79×#35502
#6306379