Finite Group Databasebeta

← #35185485

Subgroups — #35185485

Order 20224.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778031C211yesmaximal, characteristic, complemented
2#23777325C211yesmaximal, characteristic, complemented
3#23776353C211yesmaximal, characteristic, complemented
4#23776276C211yesmaximal, characteristic, complemented
5#23776161C211yesmaximal, characteristic, complemented
6#23776065C211yesmaximal, characteristic, complemented
7#23775993C211yesmaximal, characteristic, complemented
8#23775966C211yesmaximal, characteristic, complemented
9#23775962C211yesmaximal, characteristic, complemented
10#23775924C211yesmaximal, characteristic, complemented
11#23775835C211yesmaximal, characteristic, complemented
12#23775795C211yesmaximal, characteristic, complemented
13#23775620C211yesmaximal, characteristic, complemented
14#23775597C211yesmaximal, characteristic, complemented
15#23775557C211yesmaximal, characteristic, complemented
16#23775541C211yesmaximal, characteristic, complemented
17#23775239C211yesmaximal, characteristic, complemented
18#23774857C211yesmaximal, characteristic, complemented
19#23774809C211yesmaximal, characteristic, complemented
20#23774797C211yesmaximal, characteristic, complemented
21#23774696C211yesmaximal, characteristic, complemented
22#23774646C211yesmaximal, characteristic, complemented
23#23774576C211yesmaximal, characteristic, complemented
24#23773673C211yesmaximal, characteristic, complemented
25#23773585C211yesmaximal, characteristic, complemented
26#23773448C211yesmaximal, characteristic, complemented
27#23773246C211yesmaximal, characteristic, complemented
28#23773233C211yesmaximal, characteristic, complemented
29#23773194C211yesmaximal, characteristic, complemented
30#23772546C211yesmaximal, characteristic, complemented
31C79×#3324C211yesmaximal, characteristic, complemented
32#19099315—21no—
33#19099307—21no—
34#19099299C2211yescharacteristic
35#19099289C2211yescharacteristic, complemented
36#19099286—21no—
37#19099276C2211yescharacteristic, complemented
38#19099274C2211yescharacteristic, complemented
39#19099272C2211yescharacteristic
40#19099260C2211yescharacteristic
41#19099259C2211yescharacteristic
42#19099257C2211yescharacteristic, complemented
43#19099256—21no—
44#19099255C2211yescharacteristic, complemented
45#19099253C2211yescharacteristic
46#19099249—21no—
47#19099247C2211yescharacteristic, complemented
48#19099244—21no—
49#19099244—21no—
50#19099213C2211yescharacteristic
51#19099207—21no—
52#19099207C2211yescharacteristic
53#19099207C2211yescharacteristic
54#19099191C2211yescharacteristic, complemented
55#19099190C2211yescharacteristic, complemented
56#19099186C2211yescharacteristic, complemented
57#19099185C2211yescharacteristic, complemented
58#19099180C2211yescharacteristic
59#19099179—21no—
60#19099177—21no—
61#19099171—21no—
62#19099167C2211yescharacteristic
63#19099158—21no—
64#19099154—21no—
65#19099148—21no—
66#19099116C2211yescharacteristic, complemented
67#19099099C2211yescharacteristic, complemented
68#19099094C2211yescharacteristic
69#19099093C2211yescharacteristic
70#19099069—21no—
71C2×#14579142—21no—
72#19099042C2211yescharacteristic
73#19099038C2211yescharacteristic
74C2×D4×Dic79C2211yescharacteristic
75#19098971C2211yescharacteristic, complemented
76#19098969C2211yescharacteristic, complemented
77#19098965C2211yescharacteristic, complemented
78#19098964C2211yescharacteristic, complemented
79#19098963C2211yescharacteristic, complemented
80#19098960C2211yescharacteristic, complemented
81#19098927C2211yescharacteristic
82#19098921C2211yescharacteristic, complemented
83#19098916C2211yescharacteristic, complemented
84#19098916C2211yescharacteristic, complemented
85#19098916C2211yescharacteristic, complemented
86#19098905C2211yescharacteristic, complemented
87#19098904C2211yescharacteristic, complemented
88#19098904C2211yescharacteristic, complemented
89#19098901C2211yescharacteristic, complemented
90#19098896C2211yescharacteristic, complemented
91#19098894C2211yescharacteristic, complemented
92#19098892C2211yescharacteristic, complemented
93#19098888C2211yescharacteristic, complemented
94#19098886C2211yescharacteristic, complemented
95#19098885C2211yescharacteristic, complemented
96#19098884C2211yescharacteristic
97#19098883C2211yescharacteristic, complemented
98#19098882C2211yescharacteristic, complemented
99#19098880C2211yescharacteristic, complemented
100#19098879C2211yescharacteristic
101#19098875C2211yescharacteristic, complemented
102#19098872C2211yescharacteristic, complemented
103#19098871C2211yescharacteristic, complemented
104#19098870C2211yescharacteristic, complemented
105#19098869C2211yescharacteristic, complemented
106#19098866C2211yescharacteristic, complemented
107#19098865C2211yescharacteristic
108#19098865C2211yescharacteristic
109#19098865C2211yescharacteristic, complemented
110#19098865C2211yescharacteristic, complemented
111#19098865C2211yescharacteristic, complemented
112#19098864C2211yescharacteristic, complemented
113#19098863C2211yescharacteristic
114#19098861C2211yescharacteristic
115#19098861C2211yescharacteristic
116#19098861C2211yescharacteristic, complemented
117#19098861C2211yescharacteristic, complemented
118#19098857C2211yescharacteristic, complemented
119#19098856C2211yescharacteristic, complemented
120#19098855C2211yescharacteristic, complemented
121#19098851C2211yescharacteristic
122#19098851C2211yescharacteristic, complemented
123#19098851C2211yescharacteristic, complemented
124#19098851C2211yescharacteristic, complemented
125#19098847C2211yescharacteristic, complemented
126#19098842C2211yescharacteristic, complemented
127#19098841C2211yescharacteristic
128#19098841C2211yescharacteristic
129#19098841C2211yescharacteristic, complemented
130#19098841C2211yescharacteristic, complemented
131#19098819C2211yescharacteristic, complemented
132#19098815C2211yescharacteristic, complemented
133#19098814C2211yescharacteristic
134#19098809C2211yescharacteristic, complemented
135#19098809C2211yescharacteristic, complemented
136#19098806C2211yescharacteristic, complemented
137#19098802C2211yescharacteristic, complemented
138#19098798C2211yescharacteristic, complemented
139#19098797C2211yescharacteristic
140#19098789C2211yescharacteristic, complemented
141#19098788C2211yescharacteristic, complemented
142#19098783C2211yescharacteristic, complemented
143#19098783C2211yescharacteristic, complemented
144#19098780C2211yescharacteristic
145#19098780C2211yescharacteristic, complemented
146#19098780C2211yescharacteristic, complemented
147#19098777C2211yescharacteristic, complemented
148#19098777C2211yescharacteristic, complemented
149#19098755C2211yescharacteristic
150#19098722C2211yescharacteristic
151#19098709C2211yescharacteristic
152#19098697C2211yescharacteristic
153#19098697C2211yescharacteristic
154#19098692C2211yescharacteristic, complemented
155C8×Dic158C2211yescharacteristic, complemented
156#19098673C2211yescharacteristic
157#19098672C2211yescharacteristic
158#19098668C2211yescharacteristic, complemented
159#19098664C2211yescharacteristic, complemented
160C4×#11929613C2211yescharacteristic, complemented
161SD16×Dic79C2211yescharacteristic
162SD16×Dic79C2211yescharacteristic
163SD16×Dic79C2211yescharacteristic, complemented
164#19098643C2211yescharacteristic
165#19098643C2211yescharacteristic, complemented
166#19098643C2211yescharacteristic, complemented
167#19098639C2211yescharacteristic, complemented
168#19098638C2211yescharacteristic, complemented
169#19098635C2211yescharacteristic
170#19098632C2211yescharacteristic, complemented
171(C22⋊D79)⋊C8C2211yescharacteristic, complemented
172#19098622C2211yescharacteristic, complemented
173#19098621C2211yescharacteristic, complemented
174#19098613C2211yescharacteristic, complemented
175#19098606C2211yescharacteristic, complemented
176#19098605C2211yescharacteristic, complemented
177#19098605C2211yescharacteristic, complemented
178#19098604C2211yescharacteristic, complemented
179#19098599C2211yescharacteristic, complemented
180#107×D79C2211yescharacteristic, complemented
181#19098591C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183#19098586C2211yescharacteristic, complemented
184#19098568C2211yescharacteristic
185#19098561C2211yescharacteristic
186#19098556C2211yescharacteristic
187C2×#14579082C2211yescharacteristic
188#556×C79C2211yescharacteristic
189D42×C79C2211yescharacteristic
190#486×C79C2211yescharacteristic
191#482×C79C2211yescharacteristic
192#482×C79C2211yescharacteristic
193#474×C79C2211yescharacteristic
194#468×C79C2211yescharacteristic
195#468×C79C2211yescharacteristic
196#460×C79C2211yescharacteristic
197#450×C79C2211yescharacteristic
198#450×C79C2211yescharacteristic
199C4×SD16×C79C2211yescharacteristic
200#436×C79C2211yescharacteristic
201#418×C79C2211yescharacteristic
202#418×C79C2211yescharacteristic
203C2×#11929623—21no—
204C2×#11929623C2311yescharacteristic
205C23×Dic79—21no—
206C2×#11929614C2311yescharacteristic
207C2×#11929613C2311yescharacteristic
208C2×#11929609C2311yescharacteristic
209C2×#11929609C2311yescharacteristic
210C2×#11929609C2311yescharacteristic
211C2×#11929608C2311yescharacteristic
212C2×#11929607C2311yescharacteristic
213C22×C79⋊C8C2311yescharacteristic
214C2×C8×D79C2311yescharacteristic
215#14579161—21no—
216#14579160—21no—
217#14579160C2311yescharacteristic
218#14579160C2311yescharacteristic
219#14579160C2311yescharacteristic
220#14579160C2311yescharacteristic
221#14579159—21no—
222#14579156—21no—
223#14579156—21no—
224#14579156—21no—
225#14579156—21no—
226#14579156D411yescharacteristic
227#14579155—21no—
228#14579155—21no—
229#14579154—21no—
230#14579154—21no—
231#14579154—21no—
232#14579154—21no—
233#14579154—21no—
234#14579154D411yescharacteristic
235#14579153—21no—
236#14579153—21no—
237#14579153C2311yescharacteristic
238#14579153C2311yescharacteristic
239#14579152—21no—
240#14579152—21no—
241#14579152C2311yescharacteristic
242#14579152C2311yescharacteristic
243#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579151—21no—
247#14579151—21no—
248#14579151—21no—
249#14579151D411yescharacteristic
250#14579150C2311yescharacteristic
251#14579149—21no—
252#14579149—21no—
253#14579148—21no—
254#14579148—21no—
255#14579148C2311yescharacteristic
256#14579148C2311yescharacteristic
257#14579147—21no—
258#14579147—21no—
259#14579147D411yescharacteristic
260#14579146—21no—
261#14579145—21no—
262#14579145—21no—
263#14579145D411yescharacteristic
264#14579143—21no—
265#14579143—21no—
266#14579143—21no—
267#14579143—21no—
268#14579143—21no—
269#14579142—21no—
270#14579142—21no—
271#14579142—21no—
272#14579142—21no—
273#14579142—21no—
274#14579142—21no—
275#14579142—21no—
276#14579142—21no—
277#14579142—21no—
278#14579142—21no—
279#14579142—21no—
280#14579142D411yescharacteristic
281#14579141—21no—
282#14579141—21no—
283#14579140—21no—
284#14579140C2311yescharacteristic
285#14579140C2311yescharacteristic
286#14579139—21no—
287#14579139—21no—
288#14579138—21no—
289#14579138—21no—
290#14579138—21no—
291#14579138—21no—
292#14579138—21no—
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138D411yescharacteristic
297#14579137—21no—
298#14579137—21no—
299#14579137—21no—
300#14579137C2311yescharacteristic
301#14579136C2311yescharacteristic
302#14579135C2311yescharacteristic
303#14579135C2311yescharacteristic
304#14579134—21no—
305#14579134—21no—
306#14579133—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133—21no—
311#14579133D411yescharacteristic
312#14579132—21no—
313#14579132C2311yescharacteristic
314#14579132C2311yescharacteristic
315#14579130—21no—
316#14579130—21no—
317Q8×Dic79C2311yescharacteristic
318Q8×Dic79C2311yescharacteristic
319C4×Dic158—21no—
320C4×Dic158—21no—
321C4×Dic158—21no—
322C4×Dic158C2311yescharacteristic
323C4×Dic158C2311yescharacteristic
324#14579126C2311yescharacteristic
325C4×D316—21no—
326C4×D316C2311yescharacteristic
327D4×Dic79—21no—
328D4×Dic79—21no—
329D4×Dic79—21no—
330D4×Dic79—21no—
331D4×Dic79—21no—
332D4×Dic79—21no—
333D4×Dic79C2311yescharacteristic
334D4×Dic79C2311yescharacteristic
335D4×Dic79C2311yescharacteristic
336D4×Dic79C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340#14579123C2311yescharacteristic
341#14579123C2311yescharacteristic
342C4×C22⋊D79—21no—
343C4×C22⋊D79C2311yescharacteristic
344C4×C22⋊D79C2311yescharacteristic
345(C22⋊D79)⋊C4—21no—
346(C22⋊D79)⋊C4—21no—
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349#14579120C2311yescharacteristic
350#14579120C2311yescharacteristic
351#14579120C2311yescharacteristic
352#14579119—21no—
353#14579119—21no—
354#14579119C2311yescharacteristic
355#14579118—21no—
356#14579118C2311yescharacteristic
357#14579117—21no—
358#14579117—21no—
359#14579117—21no—
360#14579117—21no—
361C2×C4⋊Dic79C2311yescharacteristic
362C2×C4⋊Dic79C2311yescharacteristic
363C2×Dic79⋊C4—21no—
364C2×Dic79⋊C4—21no—
365C4⋊C4×D79—21no—
366C4⋊C4×D79C2311yescharacteristic
367C4⋊C4×D79C2311yescharacteristic
368C2×C22⋊Dic79—21no—
369C2×C22⋊Dic79—21no—
370C2×C22⋊Dic79—21no—
371C2×C22⋊Dic79—21no—
372C2×C22⋊Dic79—21no—
373C2×C4×Dic79C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579095C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579084C2311yescharacteristic
412#14579084C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579081C2311yescharacteristic
426C22⋊(C79⋊C8)C2311yescharacteristic
427C22⋊(C79⋊C8)C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430#14579072C2311yescharacteristic
431#14579071C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C22×D4×C79—21no—
436C22×D4×C79C2311yescharacteristic
437C22×D4×C79C2311yescharacteristic
438C2×SD16×C79C2311yescharacteristic
439C2×SD16×C79C2311yescharacteristic
440C2×SD16×C79C2311yescharacteristic
441C2×M16×C79C2311yescharacteristic
442C2×M16×C79C2311yescharacteristic
443C4⋊Q8×C79C2311yescharacteristic
444#127×C79C2311yescharacteristic
445#126×C79—21no—
446#126×C79—21no—
447#124×C79—21no—
448C22⋊Q8×C79C2311yescharacteristic
449C22⋊Q8×C79C2311yescharacteristic
450#121×C79—21no—
451#121×C79C2311yescharacteristic
452#121×C79C2311yescharacteristic
453#120×C79—21no—
454#120×C79—21no—
455C4×Q8×C79—21no—
456C4×Q8×C79C2311yescharacteristic
457C4×D4×C79C2311yescharacteristic
458C4×D4×C79C2311yescharacteristic
459#117×C79C2311yescharacteristic
460#117×C79C2311yescharacteristic
461#107×C79C2311yescharacteristic
462#107×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465#103×C79C2311yescharacteristic
466#102×C79C2311yescharacteristic
467#102×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476C22⋊C8×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478#11929623—22no—
479#11929623—41no—
480#11929623—82no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158C2×D411yescharacteristic
486C2×Dic158C2411yescharacteristic
487C2×D316—21no—
488C2×D316C2411yescharacteristic
489C2×C22⋊D79—21no—
490C2×C22⋊D79—21no—
491C2×C22⋊D79—21no—
492C2×C22⋊D79—21no—
493C2×C22⋊D79—21no—
494C2×C22⋊D79C2×D411yescharacteristic
495C2×C22⋊D79C2×D411yescharacteristic
496C22×Dic79—21no—
497C22×Dic79—21no—
498C22×Dic79—21no—
499C22×Dic79—21no—
500C22×Dic79—21no—
501C22×Dic79—21no—
502C22×Dic79—21no—
503C22×Dic79—21no—
504C22×Dic79—21no—
505C22×Dic79—21no—
506C22×Dic79—82no—
507C22×Dic79C2×D411yescharacteristic
508C22×Dic79C2×D411yescharacteristic
509C2×C4×D79—21no—
510C2×C4×D79—21no—
511C2×C4×D79—21no—
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79C2411yescharacteristic
515#11929614—41no—
516#11929613—41no—
517#11929609—22no—
518#11929609—41no—
519#11929609—41no—
520#11929608—41no—
521#11929607—41no—
522C2×C79⋊C8—41no—
523C2×C79⋊C8C2411yescharacteristic
524C2×C79⋊C8C2411yescharacteristic
525C2×C79⋊C8C2411yescharacteristic
526C2×C79⋊C8C2411yescharacteristic
527C8×D79—41no—
528C4⋊Dic79—21no—
529C4⋊Dic79—21no—
530C4⋊Dic79—21no—
531C4⋊Dic79—21no—
532C4⋊Dic79—21no—
533C4⋊Dic79—21no—
534C4⋊Dic79—21no—
535C4⋊Dic79—21no—
536C4⋊Dic79—21no—
537C4⋊Dic79C2×D411yescharacteristic
538C4⋊Dic79C2×D411yescharacteristic
539C4⋊Dic79C2×D411yescharacteristic
540C4⋊Dic79C2411yescharacteristic
541C4⋊Dic79C2411yescharacteristic
542C4⋊Dic79C2411yescharacteristic
543C4⋊Dic79C2411yescharacteristic
544C4⋊Dic79C2411yescharacteristic
545C4⋊Dic79C2411yescharacteristic
546Dic79⋊C4—21no—
547Dic79⋊C4—21no—
548Dic79⋊C4—21no—
549Dic79⋊C4—21no—
550Dic79⋊C4—21no—
551Dic79⋊C4—21no—
552Dic79⋊C4—21no—
553Dic79⋊C4—21no—
554Dic79⋊C4—21no—
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4C2×D411yescharacteristic
567Dic79⋊C4C2×D411yescharacteristic
568Dic79⋊C4C2×D411yescharacteristic
569Dic79⋊C4C2×D411yescharacteristic
570Dic79⋊C4C2×D411yescharacteristic
571Dic79⋊C4C2×D411yescharacteristic
572C22⋊Dic79—21no—
573C22⋊Dic79—21no—
574C22⋊Dic79—21no—
575C22⋊Dic79—21no—
576C22⋊Dic79—21no—
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79C2×D411yescharacteristic
590C22⋊Dic79C2×D411yescharacteristic
591C22⋊Dic79C2×D411yescharacteristic
592C22⋊Dic79C2×D411yescharacteristic
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4C2×D411yescharacteristic
604(C2×D79)⋊C4C2×D411yescharacteristic
605(C2×D79)⋊C4C2×D411yescharacteristic
606(C2×D79)⋊C4C2×D411yescharacteristic
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79C2×D411yescharacteristic
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2411yescharacteristic
617C4×Dic79C2411yescharacteristic
618C4×Dic79C2411yescharacteristic
619C24×C79—21no—
620C24×C79—21no—
621C2×Q8×C79—21no—
622C2×Q8×C79C2411yescharacteristic
623C2×D4×C79—22no—
624C2×D4×C79—22no—
625C2×D4×C79—21no—
626C2×D4×C79—21no—
627C2×D4×C79—21no—
628C2×D4×C79—21no—
629C2×D4×C79—21no—
630C2×D4×C79—21no—
631C2×D4×C79—41no—
632C2×D4×C79—41no—
633C2×D4×C79—82no—
634C2×D4×C79C2×D411yescharacteristic
635C2×D4×C79C2411yescharacteristic
636C2×D4×C79C2411yescharacteristic
637C2×D4×C79C2411yescharacteristic
638C22×C4×C79—21no—
639C22×C4×C79C2411yescharacteristic
640C22×C4×C79C2411yescharacteristic
641SD16×C79—22no—
642SD16×C79—41no—
643SD16×C79—41no—
644M16×C79—41no—
645M16×C79—41no—
646C2×C8×C79C2411yescharacteristic
647C2×C8×C79C2411yescharacteristic
648C2×C8×C79C2411yescharacteristic
649C2×C8×C79C2411yescharacteristic
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79—21no—
653C4⋊C4×C79—21no—
654C4⋊C4×C79C2×D411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
658C4⋊C4×C79C2411yescharacteristic
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79C2×D411yescharacteristic
667C22⋊C4×C79C2×D411yescharacteristic
668C42×C79—21no—
669C42×C79—21no—
670C42×C79—21no—
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79—42no—
676C23×C79—42no—
677C23×C79—42no—
678C23×C79—81no—
679C23×C79—81no—
680C23×C79—81no—
681C23×C79C22×D411yescharacteristic
682C23×C79C22×D411yescharacteristic
683C22×D79—21no—
684C22×D79C22×D411yescharacteristic
685Q8×C79—21no—
686Q8×C79—21no—
687Q8×C79—81no—
688D4×C79—21no—
689D4×C79—21no—
690D4×C79—21no—
691D4×C79—21no—
692D4×C79—21no—
693D4×C79—41no—
694D4×C79—42no—
695D4×C79—42no—
696D4×C79—42no—
697D4×C79—81no—
698D4×C79—81no—
699D4×C79—81no—
700D4×C792−1+412yes—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—81no—
711C2×C4×C79C22×D411yescharacteristic
712C2×C4×C79C22×D411yescharacteristic
713C2×C4×C79C22×D411yescharacteristic
714C2×C4×C79C22×D411yescharacteristic
715C2×C4×C79C2511yescharacteristic
716C22⋊D79—41no—
717C22⋊D79—41no—
718C22⋊D79—42no—
719C22⋊D79—81no—
720C22⋊D79—81no—
721C22⋊D79—81no—
722C22⋊D79—81no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—41no—
731C2×Dic79—41no—
732C2×Dic79—42no—
733C2×Dic79—42no—
734C2×Dic79—81no—
735C2×Dic79—81no—
736C2×Dic79—81no—
737C2×Dic79—81no—
738C2×Dic79—81no—
739C2×Dic79—81no—
740C2×Dic79—81no—
741C2×Dic79—81no—
742C2×Dic79C22×D411yescharacteristic
743C2×Dic79C22×D411yescharacteristic
744C2×Dic79C22×D411yescharacteristic
745C2×Dic79C22×D411yescharacteristic
746C2×Dic79C22×D411yescharacteristic
747C2×Dic79C22×D411yescharacteristic
748C2×Dic79C22×D411yescharacteristic
749D316—21no—
750D316—21no—
751D316—81no—
752C4×D79—21no—
753C4×D79—21no—
754C4×D79—81no—
755C4×D79—81no—
756C4×D79—81no—
757C4×D79—81no—
758C4×D79—81no—
759Dic158—21no—
760Dic158—21no—
761Dic158—41no—
762Dic158—81no—
763Dic158—81no—
764Dic158—81no—
765Dic158—81no—
766C8×C79—21no—
767C8×C79—21no—
768C8×C79—21no—
769C8×C79—21no—
770C79⋊C8—21no—
771C79⋊C8—21no—
772C79⋊C8—21no—
773C79⋊C8—21no—
774C22×C79—21no—
775C22×C79—21no—
776C22×C79—21no—
777C22×C79—21no—
778C22×C79—22no—
779C22×C79—21no—
780C22×C79—21no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—84no—
790C22×C79—162no—
791C22×C79C23×D411yescharacteristic
792C2×D79—21no—
793C2×D79—21no—
794C2×D79—21no—
795C2×D79—41no—
796C2×D79—41no—
797C2×D79—41no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79C2×2−1+411yescharacteristic
808C4×C79#58511yescharacteristic
809Dic79—21no—
810Dic79—21no—
811Dic79—21no—
812Dic79—21no—
813Dic79—21no—
814Dic79—21no—
815Dic79—21no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62175—791nomaximal, Sylow
824C2×C79—41no—
825C2×C79—41no—
826C2×C79—42no—
827C2×C79—81no—
828C2×C79—81no—
829C2×C79#348911yescharacteristic
830C2×C79#358411yescharacteristic
831C2×C79#358511yescharacteristic
832D79—41no—
833D79—81no—
834#3565—791no—
835#3513—791no—
836#3389—791no—
837#3381—791no—
838#3371—791no—
839#3361—791no—
840#3354—791no—
841#3351—791no—
842#3351—791no—
843#3349—791no—
844#3343—791no—
845#3339—791no—
846#3324D7911yescharacteristic, complemented
847#3323—791no—
848#3322—791no—
849#3319—791no—
850#3318—791no—
851#3296—791no—
852#3262—791no—
853#3257—791no—
854#3256—791no—
855#3244—791no—
856#3241—791no—
857#3233—791no—
858#3125—791no—
859#3118—791no—
860#3105—791no—
861#3083—791no—
862#3081—791no—
863#3077—791no—
864#2993—791no—
865C79#6217511yescharacteristic, complemented, Sylow
866#563—1581no—
867#562—1581no—
868#559—791no—
869#557—791no—
870#556—1581no—
871#556C2×D7911yescharacteristic
872#555—791no—
873#554—791no—
874#554—791no—
875#553—791no—
876#553—791no—
877#553—791no—
878#553—1581no—
879#552—791no—
880#552—791no—
881#552—791no—
882#552—1581no—
883#551—1581no—
884#551—1581no—
885#547—791no—
886#546—791no—
887#546—791no—
888#546—1581no—
889D42C2×D7911yescharacteristic
890#544—791no—
891#544—791no—
892#542—791no—
893#542—791no—
894#542—791no—
895#542—1581no—
896#542—1581no—
897#541—1581no—
898#540—791no—
899#539—1581no—
900#539—1581no—
901#538—1581no—
902#533—791no—
903#529—791no—
904#529—791no—
905#529—791no—
906#525—1581no—
907C2×#123—1581no—
908#520—791no—
909#518—791no—
910C2×C4×D4—791no—
911#501—791no—
912#501—791no—
913#499—791no—
914#499—791no—
915#499—791no—
916#498—791no—
917#490—791no—
918#489—791no—
919#488—791no—
920#488—791no—
921#488—791no—
922#486C2×D7911yescharacteristic
923#485—791no—
924#485—791no—
925#485—791no—
926#485—791no—
927#484—791no—
928#483—791no—
929#483—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482C2×D7911yescharacteristic
935#482C2×D7911yescharacteristic
936#481—791no—
937#481—791no—
938#481—791no—
939#481—791no—
940#480—791no—
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
945#478—791no—
946#478—791no—
947#478—791no—
948#478—791no—
949#478—791no—
950#478—791no—
951#478—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478—791no—
956#478—791no—
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476—791no—
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474—791no—
970#474C2×D7911yescharacteristic
971#470—791no—
972#469—791no—
973#469—791no—
974#468—791no—
975#468—791no—
976#468—791no—
977#468C2×D7911yescharacteristic
978#468C2×D7911yescharacteristic
979#467—791no—
980#466—791no—
981#466—791no—
982#465—791no—
983#464—791no—
984#464—791no—
985#464—791no—
986#463—791no—
987#463—791no—
988#463—791no—
989#463—791no—
990#463—791no—
991#460C2×D7911yescharacteristic
992#459—791no—
993#452—791no—
994#450C2×D7911yescharacteristic
995#450C2×D7911yescharacteristic
996#449—791no—
997#447—791no—
998#447—791no—
999#446—791no—
1000C8×Q8—791no—
1001#442—791no—
1002#442—791no—
1003#441—791no—
1004#440—791no—
1005C4×SD16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16—791no—
1009C4×SD16C2×D7911yescharacteristic
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8—791no—
1013#436—791no—
1014#436—791no—
1015#436C2×D7911yescharacteristic
1016#435—791no—
1017#435—791no—
1018C8×D4—791no—
1019#433—791no—
1020#433—791no—
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427—791no—
1027C2×#107—791no—
1028#424—791no—
1029#424—791no—
1030#423—791no—
1031#418—791no—
1032#418C2×D7911yescharacteristic
1033#418C2×D7911yescharacteristic
1034#417—791no—
1035#416—791no—
1036C2×#102—791no—
1037C2×#41—791no—
1038C2×#41—1581no—
1039C22×D4—21no—
1040C22×D4C22×D7911yescharacteristic
1041C22×D4C22×D7911yescharacteristic
1042C23×C4—1581no—
1043C2×Q16—791no—
1044C2×SD16—791no—
1045C2×SD16C22×D7911yescharacteristic
1046C2×SD16C22×D7911yescharacteristic
1047C2×SD16C22×D7911yescharacteristic
1048C2×D8—791no—
1049C2×D8—791no—
1050C2×D8—791no—
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16C22×D7911yescharacteristic
1054C2×M16C22×D7911yescharacteristic
1055C22×C8—791no—
1056C22×C8—791no—
1057C4⋊Q8—791no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—791no—
1061C4⋊Q8—1581no—
1062C4⋊Q8—1581no—
1063C4⋊Q8—1581no—
1064C4⋊Q8C22×D7911yescharacteristic
1065#127C22×D7911yescharacteristic
1066#126—21no—
1067#126—21no—
1068#126—791no—
1069#126—791no—
1070#126—1581no—
1071#126—1581no—
1072#126—1581no—
1073#126—1581no—
1074#126—1581no—
1075#126—1581no—
1076#126—1581no—
1077#126—1581no—
1078#126—1581no—
1079#126—1581no—
1080#126—1581no—
1081#125—791no—
1082#125—791no—
1083#125—791no—
1084#125—791no—
1085#125—791no—
1086#125—791no—
1087#125—791no—
1088#125—791no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125—1581no—
1095#125—1581no—
1096#124—21no—
1097#124—791no—
1098#124—791no—
1099#124—791no—
1100#124—791no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124—1581no—
1106#124—1581no—
1107#123—791no—
1108#123—791no—
1109#123—1581no—
1110#123—1581no—
1111#123—1581no—
1112#123—1581no—
1113#123—1581no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124#123—1581no—
1125#123—1581no—
1126#123—1581no—
1127#123—1581no—
1128C22⋊Q8—791no—
1129C22⋊Q8—791no—
1130C22⋊Q8—791no—
1131C22⋊Q8—791no—
1132C22⋊Q8—1581no—
1133C22⋊Q8—1581no—
1134C22⋊Q8—1581no—
1135C22⋊Q8—1581no—
1136C22⋊Q8—1581no—
1137C22⋊Q8—1581no—
1138C22⋊Q8—1581no—
1139C22⋊Q8—1581no—
1140C22⋊Q8—1581no—
1141C22⋊Q8—1581no—
1142C22⋊Q8—1581no—
1143C22⋊Q8—1581no—
1144C22⋊Q8—1581no—
1145C22⋊Q8—1581no—
1146C22⋊Q8—1581no—
1147C22⋊Q8—1581no—
1148C22⋊Q8C22×D7911yescharacteristic
1149C22⋊Q8C22×D7911yescharacteristic
1150#121—21no—
1151#121—791no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—791no—
1157#121—1581no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121—1581no—
1164#121—1581no—
1165#121C22×D7911yescharacteristic
1166#121C22×D7911yescharacteristic
1167#120—21no—
1168#120—21no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—21no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—791no—
1176C4×Q8—791no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8C22×D7911yescharacteristic
1181C4×D4—791no—
1182C4×D4—791no—
1183C4×D4—791no—
1184C4×D4—791no—
1185C4×D4—791no—
1186C4×D4—791no—
1187C4×D4—791no—
1188C4×D4—791no—
1189C4×D4—791no—
1190C4×D4—791no—
1191C4×D4—791no—
1192C4×D4—791no—
1193C4×D4—1581no—
1194C4×D4—1581no—
1195C4×D4—1581no—
1196C4×D4—1581no—
1197C4×D4—1581no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4—1581no—
1202C4×D4—1581no—
1203C4×D4—1581no—
1204C4×D4—1581no—
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—791no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—1581no—
1213#117—1581no—
1214#117—1581no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117C22×D7911yescharacteristic
1220#117C22×D7911yescharacteristic
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—791no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4—1581no—
1228C2×C22⋊C4—1581no—
1229C2×C22⋊C4—1581no—
1230C2×C22⋊C4—1581no—
1231C2×C22⋊C4—1581no—
1232C2×C22⋊C4—1581no—
1233C2×C42—791no—
1234#107—791no—
1235#107—791no—
1236#107—791no—
1237#107—791no—
1238#107—791no—
1239#107—791no—
1240#107—791no—
1241#107—791no—
1242#107—791no—
1243#107—791no—
1244#107C22×D7911yescharacteristic
1245#107C22×D7911yescharacteristic
1246#106—791no—
1247#106—791no—
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106—791no—
1254#106—791no—
1255#106—791no—
1256#106—791no—
1257#106C22×D7911yescharacteristic
1258C4⋊C8—791no—
1259C4⋊C8—791no—
1260C4⋊C8—791no—
1261C4⋊C8—791no—
1262C4⋊C8—791no—
1263C4⋊C8—791no—
1264C4⋊C8—791no—
1265C4⋊C8—791no—
1266C4⋊C8—791no—
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103—791no—
1275#103—791no—
1276#103—791no—
1277#103C22×D7911yescharacteristic
1278#102—791no—
1279#102—791no—
1280#102—791no—
1281#102—791no—
1282#102—791no—
1283#102—791no—
1284#102—791no—
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102—791no—
1291#102C22×D7911yescharacteristic
1292#102C22×D7911yescharacteristic
1293#102C22×D7911yescharacteristic
1294#102C22×D7911yescharacteristic
1295#102C22×D7911yescharacteristic
1296#102C22×D7911yescharacteristic
1297#102C22×D7911yescharacteristic
1298#102C22×D7911yescharacteristic
1299#102C22×D7911yescharacteristic
1300C22⋊C8—791no—
1301C22⋊C8—791no—
1302C22⋊C8—791no—
1303C22⋊C8—791no—
1304C22⋊C8C22×D7911yescharacteristic
1305C22⋊C8C22×D7911yescharacteristic
1306#97—791no—
1307#97—791no—
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8C22×D7911yescharacteristic
1312C24—21no—
1313C24—21no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
1317C2×Q8—21no—
1318C2×Q8—791no—
1319C2×Q8—791no—
1320C2×Q8—1581no—
1321C2×Q8—1581no—
1322C2×Q8—1581no—
1323C2×Q8—1581no—
1324C2×Q8C23×D7911yescharacteristic
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—82no—
1336C2×D4—791no—
1337C2×D4—791no—
1338C2×D4—791no—
1339C2×D4—1581no—
1340C2×D4—1581no—
1341C2×D4—1581no—
1342C2×D4—1581no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4D4×D7911yescharacteristic
1346C2×D4C23×D7911yescharacteristic
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—791no—
1351C22×C4—791no—
1352C22×C4—791no—
1353C22×C4—6322no—
1354C22×C4—1581no—
1355C22×C4—1581no—
1356C22×C4—1581no—
1357C22×C4—1581no—
1358C22×C4—1581no—
1359C22×C4—1581no—
1360C22×C4—1581no—
1361C22×C4—1581no—
1362C22×C4—1581no—
1363C22×C4—1581no—
1364C22×C4—1581no—
1365C22×C4—1581no—
1366C22×C4—1581no—
1367C22×C4—1581no—
1368C22×C4—1581no—
1369C22×C4C23×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371Q16—3161no—
1372SD16—22no—
1373SD16—41no—
1374SD16—41no—
1375SD16—3161no—
1376D8—3161no—
1377D8—3161no—
1378D8—1582no—
1379M16—41no—
1380M16—41no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—3161no—
1384C2×C8—3161no—
1385C2×C8—791no—
1386C2×C8—791no—
1387C2×C8—791no—
1388C2×C8—791no—
1389C2×C8C23×D7911yescharacteristic
1390C2×C8C23×D7911yescharacteristic
1391C2×C8C23×D7911yescharacteristic
1392C2×C8C23×D7911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—791no—
1398C4⋊C4—791no—
1399C4⋊C4—791no—
1400C4⋊C4—791no—
1401C4⋊C4—791no—
1402C4⋊C4—791no—
1403C4⋊C4—791no—
1404C4⋊C4—791no—
1405C4⋊C4—791no—
1406C4⋊C4—791no—
1407C4⋊C4—791no—
1408C4⋊C4—791no—
1409C4⋊C4—791no—
1410C4⋊C4—791no—
1411C4⋊C4—791no—
1412C4⋊C4—1581no—
1413C4⋊C4—1581no—
1414C4⋊C4—1581no—
1415C4⋊C4—1581no—
1416C4⋊C4—1581no—
1417C4⋊C4—1581no—
1418C4⋊C4—1581no—
1419C4⋊C4—1581no—
1420C4⋊C4—1581no—
1421C4⋊C4—1581no—
1422C4⋊C4—1581no—
1423C4⋊C4—1581no—
1424C4⋊C4—1581no—
1425C4⋊C4—1581no—
1426C4⋊C4—1581no—
1427C4⋊C4—1581no—
1428C4⋊C4—1581no—
1429C4⋊C4—1581no—
1430C4⋊C4—1581no—
1431C4⋊C4—1581no—
1432C4⋊C4—1581no—
1433C4⋊C4—1581no—
1434C4⋊C4—1581no—
1435C4⋊C4—1581no—
1436C4⋊C4—1581no—
1437C4⋊C4—1581no—
1438C4⋊C4—1581no—
1439C4⋊C4—1581no—
1440C4⋊C4—1581no—
1441C4⋊C4D4×D7911yescharacteristic
1442C4⋊C4C23×D7911yescharacteristic
1443C4⋊C4C23×D7911yescharacteristic
1444C4⋊C4C23×D7911yescharacteristic
1445C4⋊C4C23×D7911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—791no—
1454C22⋊C4—791no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—1581no—
1462C22⋊C4—1581no—
1463C22⋊C4—1581no—
1464C22⋊C4—1581no—
1465C22⋊C4—1581no—
1466C22⋊C4—1581no—
1467C22⋊C4—1581no—
1468C22⋊C4—1581no—
1469C22⋊C4—1581no—
1470C22⋊C4—1581no—
1471C22⋊C4—1581no—
1472C22⋊C4—1581no—
1473C22⋊C4—1581no—
1474C22⋊C4—1581no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4—1581no—
1481C22⋊C4—1581no—
1482C22⋊C4—1581no—
1483C22⋊C4—1581no—
1484C22⋊C4—1581no—
1485C22⋊C4—1581no—
1486C22⋊C4—1581no—
1487C22⋊C4—1581no—
1488C22⋊C4D4×D7911yescharacteristic
1489C22⋊C4D4×D7911yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—791no—
1494C42—791no—
1495C42—791no—
1496C42—791no—
1497C42—791no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42—1581no—
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—42no—
1511C23—42no—
1512C23—81no—
1513C23—81no—
1514C23—81no—
1515C23—791no—
1516C23—1581no—
1517C23C2×D4×D7911yescharacteristic
1518C23C2×D4×D7911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—3161no—
1523Q8—6321no—
1524Q8—6321no—
1525Q8—6321no—
1526Q8—6321no—
1527Q8—1581no—
1528Q8—1581no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—41no—
1535D4—42no—
1536D4—42no—
1537D4—42no—
1538D4—81no—
1539D4—81no—
1540D4—81no—
1541D4—3162no—
1542D4—3161no—
1543D4—3161no—
1544D4—6321no—
1545D4—6321no—
1546D4—6321no—
1547D4—6321no—
1548D4—6321no—
1549D4—1581no—
1550D4—1581no—
1551D4#1457920812yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—81no—
1562C2×C4—3162no—
1563C2×C4—3162no—
1564C2×C4—3161no—
1565C2×C4—3161no—
1566C2×C4—791no—
1567C2×C4—791no—
1568C2×C4—791no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—791no—
1573C2×C4—6321no—
1574C2×C4—6321no—
1575C2×C4—6321no—
1576C2×C4—6321no—
1577C2×C4—6321no—
1578C2×C4—6321no—
1579C2×C4—6321no—
1580C2×C4—6321no—
1581C2×C4—6321no—
1582C2×C4—6321no—
1583C2×C4—6321no—
1584C2×C4—6321no—
1585C2×C4—6321no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4—1581no—
1595C2×C4C2×D4×D7911yescharacteristic
1596C2×C4C2×D4×D7911yescharacteristic
1597C2×C4C2×D4×D7911yescharacteristic
1598C2×C4C2×D4×D7911yescharacteristic
1599C2×C4C24×D7911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1581no—
1605C8—1581no—
1606C8—1581no—
1607C8—1581no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—84no—
1624C22—162no—
1625C22—3161no—
1626C22—3161no—
1627C22—3161no—
1628C22—1581no—
1629C22—1581no—
1630C22—1581no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—1581no—
1649C4—1581no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C4C2×#1457920811yescharacteristic
1656C4#1909939811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—3161no—
1663C2—6321no—
1664C2#2377707111yescharacteristic
1665C2#2377817211yescharacteristic
1666C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3324C2
socleC22×C79C23×D4
hypercenter#3324D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3324

Complements

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

NH ≅ G/Ntype
1. #23778031C2semidirect
2. #23777325C2semidirect
3. #23776353C2semidirect
4. #23776276C2semidirect
5. #23776161C2semidirect
6. #23776065C2semidirect
7. #23775993C2semidirect
8. #23775966C2semidirect
9. #23775962C2semidirect
10. #23775924C2semidirect
11. #23775835C2semidirect
12. #23775795C2semidirect
13. #23775620C2semidirect
14. #23775597C2semidirect
15. #23775557C2semidirect
16. #23775541C2semidirect
17. #23775239C2semidirect
18. #23774857C2semidirect
19. #23774809C2semidirect
20. #23774797C2semidirect
21. #23774696C2semidirect
22. #23774646C2semidirect
23. #23774576C2semidirect
24. #23773673C2semidirect
25. #23773585C2semidirect
26. #23773448C2semidirect
27. #23773246C2semidirect
28. #23773233C2semidirect
29. #23773194C2semidirect
30. #23772546C2semidirect
31. C79×#3324C2semidirect
35. #19099289C22semidirect
37. #19099276C22semidirect
38. #19099274C22semidirect
42. #19099257C22semidirect
44. #19099255C22semidirect
47. #19099247C22semidirect
54. #19099191C22semidirect
55. #19099190C22semidirect
56. #19099186C22semidirect
57. #19099185C22semidirect
66. #19099116C22semidirect
67. #19099099C22semidirect
75. #19098971C22semidirect
76. #19098969C22semidirect
77. #19098965C22semidirect
78. #19098964C22semidirect
79. #19098963C22semidirect
80. #19098960C22semidirect
82. #19098921C22semidirect
83. #19098916C22semidirect
84. #19098916C22semidirect
85. #19098916C22semidirect
86. #19098905C22semidirect
87. #19098904C22semidirect
88. #19098904C22semidirect
89. #19098901C22semidirect
90. #19098896C22semidirect
91. #19098894C22semidirect
92. #19098892C22semidirect
93. #19098888C22semidirect
94. #19098886C22semidirect
95. #19098885C22semidirect
97. #19098883C22semidirect
98. #19098882C22semidirect
99. #19098880C22semidirect
101. #19098875C22semidirect
102. #19098872C22semidirect
103. #19098871C22semidirect
104. #19098870C22semidirect
105. #19098869C22semidirect
106. #19098866C22semidirect
109. #19098865C22semidirect
110. #19098865C22semidirect
111. #19098865C22semidirect
112. #19098864C22semidirect
116. #19098861C22semidirect
117. #19098861C22semidirect
118. #19098857C22semidirect
119. #19098856C22semidirect
120. #19098855C22semidirect
122. #19098851C22semidirect
123. #19098851C22semidirect
124. #19098851C22semidirect
125. #19098847C22semidirect
126. #19098842C22semidirect
129. #19098841C22semidirect
130. #19098841C22semidirect
131. #19098819C22semidirect
132. #19098815C22semidirect
134. #19098809C22semidirect
135. #19098809C22semidirect
136. #19098806C22semidirect
137. #19098802C22semidirect
138. #19098798C22semidirect
140. #19098789C22semidirect
141. #19098788C22semidirect
142. #19098783C22semidirect
143. #19098783C22semidirect
145. #19098780C22semidirect
146. #19098780C22semidirect
147. #19098777C22semidirect
148. #19098777C22semidirect
154. #19098692C22semidirect
155. C8×Dic158C22semidirect
158. #19098668C22semidirect
159. #19098664C22semidirect
160. C4×#11929613C22semidirect
163. SD16×Dic79C22semidirect
165. #19098643C22semidirect
166. #19098643C22semidirect
167. #19098639C22semidirect
168. #19098638C22semidirect
170. #19098632C22semidirect
171. (C22⋊D79)⋊C8C22semidirect
172. #19098622C22semidirect
173. #19098621C22semidirect
174. #19098613C22semidirect
175. #19098606C22semidirect
176. #19098605C22semidirect
177. #19098605C22semidirect
178. #19098604C22semidirect
179. #19098599C22semidirect
180. #107×D79C22semidirect
181. #19098591C22semidirect
182. #19098588C22semidirect
183. #19098586C22semidirect
846. #3324D79semidirect
865. C79#62175semidirect

Maximal subgroups

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

subgroupindex
#237780312
#237773252
#237763532
#237762762
#237761612
#237760652
#237759932
#237759662
#237759622
#237759242
#237758352
#237757952
#237756202
#237755972
#237755572
#237755412
#237752392
#237748572
#237748092
#237747972
#237746962
#237746462
#237745762
#237736732
#237735852
#237734482
#237732462
#237732332
#237731942
#237725462
C79×#33242
#6217579