Finite Group Databasebeta

← #35160639

Subgroups — #35160639

Order 20224.

1690 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776804C211yesmaximal, characteristic, complemented
2#542×D79C211yesmaximal, characteristic
3#23774705C211yesmaximal, characteristic, complemented
4#23774704C211yesmaximal, characteristic, complemented
5#23774700C211yesmaximal, characteristic, complemented
6#23774699C211yesmaximal, characteristic, complemented
7#23774697C211yesmaximal, characteristic, complemented
8#23774696C211yesmaximal, characteristic, complemented
9#23774692C211yesmaximal, characteristic, complemented
10#23774691C211yesmaximal, characteristic, complemented
11#23774688C211yesmaximal, characteristic, complemented
12#23774687C211yesmaximal, characteristic, complemented
13#23774686C211yesmaximal, characteristic, complemented
14#23774683C211yesmaximal, characteristic, complemented
15#23774680C211yesmaximal, characteristic, complemented
16#23774679C211yesmaximal, characteristic, complemented
17#23774678C211yesmaximal, characteristic, complemented
18#23773945C211yesmaximal, characteristic, complemented
19#23773943C211yesmaximal, characteristic, complemented
20#23773785C211yesmaximal, characteristic, complemented
21#23773783C211yesmaximal, characteristic, complemented
22#23773347C211yesmaximal, characteristic, complemented
23#23773345C211yesmaximal, characteristic, complemented
24#23773339C211yesmaximal, characteristic
25#23773335C211yesmaximal, characteristic
26#23773206C211yesmaximal, characteristic, complemented
27#23773203C211yesmaximal, characteristic, complemented
28#23773195C211yesmaximal, characteristic, complemented
29#23773192C211yesmaximal, characteristic, complemented
30#23772034C211yesmaximal, characteristic, complemented
31C79×#3243C211yesmaximal, characteristic, complemented
32#19099194C2211yescharacteristic, complemented
33#19099193—21no—
34#19099193C2211yescharacteristic, complemented
35#19099193C2211yescharacteristic, complemented
36#19099191C2211yescharacteristic, complemented
37#19099191C2211yescharacteristic, complemented
38#19099190—21no—
39#19099190C2211yescharacteristic, complemented
40#19099190C2211yescharacteristic, complemented
41#19099188—21no—
42#19099188—21no—
43#19099187C2211yescharacteristic
44#19099186C2211yescharacteristic
45#19099185C2211yescharacteristic
46#19099184C2211yescharacteristic
47#19099183—21no—
48#19099182C2211yescharacteristic
49#19099181—21no—
50#19099180C2211yescharacteristic
51#19099179—21no—
52#19099178C2211yescharacteristic
53#19099177—21no—
54#19099119—21no—
55#19099119C2211yescharacteristic
56#19099119C2211yescharacteristic
57#19099118—21no—
58#19099118C2211yescharacteristic
59#19099118C2211yescharacteristic
60#19099115—21no—
61#19099115—21no—
62C4⋊Q8×D79C2211yescharacteristic
63#126×D79—21no—
64#124×D79—21no—
65#124×D79C2211yescharacteristic
66#123×D79—21no—
67C22⋊Q8×D79—21no—
68C22⋊Q8×D79C2211yescharacteristic
69#121×D79C2211yescharacteristic
70C4×Q8×D79C2211yescharacteristic
71C4×D4×D79C2211yescharacteristic
72C2×#14579119C2211yescharacteristic
73#117×D79C2211yescharacteristic
74#117×D79C2211yescharacteristic
75#19098973C2211yescharacteristic, complemented
76#19098972C2211yescharacteristic, complemented
77#19098971C2211yescharacteristic, complemented
78#19098971C2211yescharacteristic, complemented
79#19098971C2211yescharacteristic, complemented
80#19098971C2211yescharacteristic, complemented
81#19098969C2211yescharacteristic, complemented
82#19098967C2211yescharacteristic, complemented
83#19098967C2211yescharacteristic, complemented
84#19098966C2211yescharacteristic, complemented
85#19098961C2211yescharacteristic, complemented
86#19098960C2211yescharacteristic, complemented
87#19098960C2211yescharacteristic, complemented
88#19098959C2211yescharacteristic, complemented
89#19098925C2211yescharacteristic, complemented
90#19098924C2211yescharacteristic, complemented
91#19098924C2211yescharacteristic, complemented
92#19098923C2211yescharacteristic, complemented
93#19098922C2211yescharacteristic, complemented
94#19098921C2211yescharacteristic, complemented
95#19098921C2211yescharacteristic, complemented
96#19098920C2211yescharacteristic, complemented
97#19098919C2211yescharacteristic, complemented
98#19098919C2211yescharacteristic, complemented
99#19098918C2211yescharacteristic, complemented
100#19098917C2211yescharacteristic, complemented
101#19098916C2211yescharacteristic, complemented
102#19098916C2211yescharacteristic, complemented
103#19098906C2211yescharacteristic, complemented
104#19098906C2211yescharacteristic, complemented
105#19098905C2211yescharacteristic, complemented
106#19098904C2211yescharacteristic, complemented
107#19098902C2211yescharacteristic, complemented
108#19098902C2211yescharacteristic, complemented
109#19098901C2211yescharacteristic, complemented
110#19098900C2211yescharacteristic, complemented
111#19098898C2211yescharacteristic, complemented
112#19098897C2211yescharacteristic, complemented
113#19098895C2211yescharacteristic, complemented
114#19098894C2211yescharacteristic, complemented
115#19098892C2211yescharacteristic, complemented
116#19098891C2211yescharacteristic, complemented
117#19098890C2211yescharacteristic
118#19098890C2211yescharacteristic
119#19098888C2211yescharacteristic
120#19098887C2211yescharacteristic
121#19098886C2211yescharacteristic
122#19098886C2211yescharacteristic
123#19098884C2211yescharacteristic
124#19098883C2211yescharacteristic
125#19098882C2211yescharacteristic
126#19098880C2211yescharacteristic
127#19098879C2211yescharacteristic
128#19098878C2211yescharacteristic
129#19098876C2211yescharacteristic
130#19098875C2211yescharacteristic
131#19098871C2211yescharacteristic, complemented
132#19098870C2211yescharacteristic, complemented
133#19098869C2211yescharacteristic, complemented
134#19098869C2211yescharacteristic, complemented
135#19098868C2211yescharacteristic, complemented
136#19098868C2211yescharacteristic, complemented
137#19098867C2211yescharacteristic, complemented
138#19098866C2211yescharacteristic, complemented
139#19098866C2211yescharacteristic, complemented
140#19098865C2211yescharacteristic, complemented
141#19098865C2211yescharacteristic, complemented
142#19098864C2211yescharacteristic, complemented
143#19098863C2211yescharacteristic, complemented
144#19098860C2211yescharacteristic, complemented
145#19098857C2211yescharacteristic, complemented
146#19098856C2211yescharacteristic, complemented
147#19098855C2211yescharacteristic, complemented
148#19098854C2211yescharacteristic, complemented
149#19098853C2211yescharacteristic, complemented
150#19098852C2211yescharacteristic, complemented
151#19098851C2211yescharacteristic, complemented
152#19098849C2211yescharacteristic, complemented
153#19098848C2211yescharacteristic, complemented
154#19098847C2211yescharacteristic, complemented
155#19098846C2211yescharacteristic, complemented
156#19098842C2211yescharacteristic, complemented
157#19098841C2211yescharacteristic, complemented
158#19098840C2211yescharacteristic, complemented
159#19098625C2211yescharacteristic, complemented
160#19098624C2211yescharacteristic, complemented
161#19098623C2211yescharacteristic, complemented
162#19098623C2211yescharacteristic, complemented
163#19098622C2211yescharacteristic, complemented
164#19098621C2211yescharacteristic, complemented
165#19098621C2211yescharacteristic, complemented
166#19098604C2211yescharacteristic
167#19098604C2211yescharacteristic
168#19098604C2211yescharacteristic
169#19098604C2211yescharacteristic
170#19098604C2211yescharacteristic
171#19098604C2211yescharacteristic
172#19098602C2211yescharacteristic
173#19098602C2211yescharacteristic
174#19098585C2211yescharacteristic
175#19098585C2211yescharacteristic
176#19098570C2211yescharacteristic
177#19098570C2211yescharacteristic
178#19098570C2211yescharacteristic
179#19098570C2211yescharacteristic
180#19098566C2211yescharacteristic
181#19098566C2211yescharacteristic
182#19098566C2211yescharacteristic
183#19098566C2211yescharacteristic
184#19098525C2211yescharacteristic
185#19098525C2211yescharacteristic
186#19098515C2211yescharacteristic
187C4×#11929607C2211yescharacteristic
188#544×C79C2211yescharacteristic, complemented
189#542×C79C2211yescharacteristic
190#501×C79C2211yescharacteristic, complemented
191#500×C79C2211yescharacteristic, complemented
192#489×C79C2211yescharacteristic, complemented
193#488×C79C2211yescharacteristic, complemented
194#485×C79C2211yescharacteristic, complemented
195#484×C79C2211yescharacteristic, complemented
196#482×C79C2211yescharacteristic
197#480×C79C2211yescharacteristic
198#479×C79C2211yescharacteristic, complemented
199#478×C79C2211yescharacteristic, complemented
200#477×C79C2211yescharacteristic, complemented
201#474×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic, complemented
203C2×Q8×D79—21no—
204C2×Q8×D79C2311yescharacteristic
205C2×D4×D79—21no—
206C2×D4×D79C2311yescharacteristic
207C22×C4×D79—21no—
208C22×C4×D79C2311yescharacteristic
209C2×#11929607C2311yescharacteristic
210C2×#11929607C2311yescharacteristic
211C2×#11929607C2311yescharacteristic
212C2×#11929607C2311yescharacteristic
213#14579161—21no—
214#14579161C2311yescharacteristic
215#14579161C2311yescharacteristic
216#14579161C2311yescharacteristic
217#14579160—21no—
218#14579160—21no—
219#14579160—21no—
220#14579160—21no—
221#14579160—21no—
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579160C2311yescharacteristic
225#14579160C2311yescharacteristic
226#14579160C2311yescharacteristic
227#14579160C2311yescharacteristic
228#14579159—21no—
229#14579159—21no—
230#14579159—21no—
231#14579156—21no—
232#14579156—21no—
233#14579156—21no—
234#14579155—21no—
235#14579154—21no—
236#14579154—21no—
237#14579154—21no—
238#14579153—21no—
239#14579153C2311yescharacteristic
240#14579153C2311yescharacteristic
241#14579152—21no—
242#14579152—21no—
243#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579152C2311yescharacteristic
246#14579152C2311yescharacteristic
247#14579151—21no—
248#14579151—21no—
249#14579151—21no—
250#14579151—21no—
251#14579150—21no—
252#14579150C2311yescharacteristic
253#14579149—21no—
254#14579149C2311yescharacteristic
255#14579148—21no—
256#14579148C2311yescharacteristic
257#14579147—21no—
258#14579147—21no—
259#14579147—21no—
260#14579147—21no—
261#14579147—21no—
262#14579147—21no—
263#14579146—21no—
264#14579146—21no—
265#14579145—21no—
266#14579144—21no—
267#14579143—21no—
268#14579143—21no—
269#14579142—21no—
270#14579141—21no—
271#14579141—21no—
272#14579141—21no—
273#14579141—21no—
274#14579141—21no—
275#14579141C2311yescharacteristic
276#14579140—21no—
277#14579140—21no—
278#14579140—21no—
279#14579140C2311yescharacteristic
280#14579139—21no—
281#14579139—21no—
282#14579139—21no—
283#14579139—21no—
284#14579139—21no—
285#14579139—21no—
286#14579139—21no—
287#14579139—21no—
288#14579139—21no—
289#14579139—21no—
290#14579139—21no—
291#14579138—21no—
292#14579138—21no—
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138—21no—
297#14579138—21no—
298#14579137—21no—
299#14579137—21no—
300#14579137—21no—
301#14579137—21no—
302#14579137—21no—
303#14579137C2311yescharacteristic
304#14579136C2311yescharacteristic
305#14579135C2311yescharacteristic
306#14579134—21no—
307#14579133—21no—
308#14579132C2311yescharacteristic
309Q8×Dic79—21no—
310Q8×Dic79—21no—
311Q8×Dic79C2311yescharacteristic
312C4×Dic158—21no—
313C4×Dic158C2311yescharacteristic
314#14579126—21no—
315#14579126—21no—
316#14579126—21no—
317#14579126—21no—
318#14579126—21no—
319#14579126—21no—
320#14579126—21no—
321#14579126C2311yescharacteristic
322C4×D316C2311yescharacteristic
323D4×Dic79C2311yescharacteristic
324#14579123C2311yescharacteristic
325C4×C22⋊D79—21no—
326(C22⋊D79)⋊C4—21no—
327#14579120C2311yescharacteristic
328#14579120C2311yescharacteristic
329#14579119—21no—
330#14579119—21no—
331#14579119D411yescharacteristic
332#14579119D411yescharacteristic
333#14579119C2311yescharacteristic
334#14579119C2311yescharacteristic
335#14579119C2311yescharacteristic
336#14579119C2311yescharacteristic
337#14579119C2311yescharacteristic
338#14579119C2311yescharacteristic
339#14579118—21no—
340#14579118C2311yescharacteristic
341#14579118C2311yescharacteristic
342#14579117—21no—
343#14579117D411yescharacteristic
344#14579117D411yescharacteristic
345C2×C4⋊Dic79C2311yescharacteristic
346C4⋊C4×D79—21no—
347C4⋊C4×D79—21no—
348C4⋊C4×D79—21no—
349C4⋊C4×D79D411yescharacteristic
350C4⋊C4×D79D411yescharacteristic
351C4⋊C4×D79C2311yescharacteristic
352C4⋊C4×D79C2311yescharacteristic
353C4⋊C4×D79C2311yescharacteristic
354C4⋊C4×D79C2311yescharacteristic
355C2×(C2×D79)⋊C4—21no—
356C22⋊C4×D79—21no—
357C22⋊C4×D79—21no—
358C22⋊C4×D79—21no—
359C22⋊C4×D79—21no—
360C22⋊C4×D79—21no—
361C22⋊C4×D79—21no—
362C22⋊C4×D79D411yescharacteristic
363C22⋊C4×D79D411yescharacteristic
364C2×C4×Dic79—21no—
365C42×D79—21no—
366C42×D79—21no—
367C42×D79C2311yescharacteristic
368C42×D79C2311yescharacteristic
369#14579095C2311yescharacteristic
370#14579095C2311yescharacteristic
371#14579094C2311yescharacteristic
372#14579094C2311yescharacteristic
373#14579094C2311yescharacteristic
374#14579094C2311yescharacteristic
375#14579094C2311yescharacteristic
376#14579094C2311yescharacteristic
377#14579094C2311yescharacteristic
378#14579094C2311yescharacteristic
379#14579093C2311yescharacteristic
380#14579093C2311yescharacteristic
381#14579093C2311yescharacteristic
382#14579093C2311yescharacteristic
383#14579093C2311yescharacteristic
384#14579093C2311yescharacteristic
385#14579092C2311yescharacteristic
386#14579092C2311yescharacteristic
387#14579092C2311yescharacteristic
388#14579092C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393C4⋊(C79⋊C8)C2311yescharacteristic
394C4⋊(C79⋊C8)C2311yescharacteristic
395Dic79⋊C8C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399#14579086C2311yescharacteristic
400#14579086C2311yescharacteristic
401#14579086C2311yescharacteristic
402#14579086C2311yescharacteristic
403#14579085C2311yescharacteristic
404#14579085C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579084C2311yescharacteristic
408#14579084C2311yescharacteristic
409#14579084C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579081C2311yescharacteristic
420#14579081C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423C22⋊(C79⋊C8)C2311yescharacteristic
424C22⋊(C79⋊C8)C2311yescharacteristic
425(C2×D79)⋊C8C2311yescharacteristic
426(C2×D79)⋊C8C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432C4×C79⋊C8C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C4⋊Q8×C79—21no—
436C4⋊Q8×C79C2311yescharacteristic
437C4⋊Q8×C79C2311yescharacteristic
438C4⋊Q8×C79C2311yescharacteristic
439#126×C79—21no—
440#125×C79—21no—
441#125×C79C2311yescharacteristic
442#125×C79C2311yescharacteristic
443#124×C79—21no—
444#124×C79C2311yescharacteristic
445#123×C79—21no—
446C22⋊Q8×C79—21no—
447C22⋊Q8×C79—21no—
448C22⋊Q8×C79—21no—
449C22⋊Q8×C79C2311yescharacteristic
450#121×C79C2311yescharacteristic
451C4×Q8×C79C2311yescharacteristic
452C4×D4×C79C2311yescharacteristic
453#117×C79C2311yescharacteristic
454#117×C79C2311yescharacteristic
455C2×C4⋊C4×C79C2311yescharacteristic
456#107×C79C2311yescharacteristic
457#107×C79C2311yescharacteristic
458#107×C79C2311yescharacteristic
459#107×C79C2311yescharacteristic
460#107×C79C2311yescharacteristic
461#107×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#103×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79C2×D411yescharacteristic
480C2×Dic158—21no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158—21no—
487C2×Dic158—21no—
488C2×Dic158—21no—
489C2×Dic158—21no—
490C2×Dic158C2411yescharacteristic
491Q8×D79—22no—
492Q8×D79—22no—
493Q8×D79—82no—
494C2×D316—21no—
495C2×D316C2411yescharacteristic
496C2×C22⋊D79—21no—
497C2×C22⋊D79—21no—
498C2×C22⋊D79—21no—
499D4×D79—22no—
500D4×D79—22no—
501D4×D79—82no—
502C22×Dic79—21no—
503C22×Dic79—21no—
504C22×Dic79C2×D411yescharacteristic
505C2×C4×D79—22no—
506C2×C4×D79—22no—
507C2×C4×D79—21no—
508C2×C4×D79—21no—
509C2×C4×D79—21no—
510C2×C4×D79—21no—
511C2×C4×D79—21no—
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—82no—
515C2×C4×D79C2×D411yescharacteristic
516C2×C4×D79C2×D411yescharacteristic
517C2×C4×D79C2×D411yescharacteristic
518C2×C4×D79C2×D411yescharacteristic
519C2×C4×D79C2×D411yescharacteristic
520C2×C4×D79C2×D411yescharacteristic
521C2×C4×D79C2411yescharacteristic
522C2×C4×D79C2411yescharacteristic
523#11929607—22no—
524#11929607—22no—
525#11929607—22no—
526#11929607—22no—
527C2×C79⋊C8C2411yescharacteristic
528C2×C79⋊C8C2411yescharacteristic
529C2×C79⋊C8C2411yescharacteristic
530C2×C79⋊C8C2411yescharacteristic
531C4⋊Dic79—21no—
532C4⋊Dic79—21no—
533C4⋊Dic79—21no—
534C4⋊Dic79—21no—
535C4⋊Dic79—21no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79C2×D411yescharacteristic
542C4⋊Dic79C2×D411yescharacteristic
543C4⋊Dic79C2411yescharacteristic
544C4⋊Dic79C2411yescharacteristic
545C4⋊Dic79C2411yescharacteristic
546C4⋊Dic79C2411yescharacteristic
547C4⋊Dic79C2411yescharacteristic
548C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4C2×D411yescharacteristic
572Dic79⋊C4C2×D411yescharacteristic
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
575C22⋊Dic79—21no—
576C22⋊Dic79—21no—
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79C2×D411yescharacteristic
582C22⋊Dic79C2×D411yescharacteristic
583(C2×D79)⋊C4—21no—
584(C2×D79)⋊C4—21no—
585(C2×D79)⋊C4—21no—
586(C2×D79)⋊C4—21no—
587(C2×D79)⋊C4—21no—
588(C2×D79)⋊C4—21no—
589(C2×D79)⋊C4—21no—
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
600(C2×D79)⋊C4C2×D411yescharacteristic
601(C2×D79)⋊C4C2×D411yescharacteristic
602(C2×D79)⋊C4C2×D411yescharacteristic
603C4×Dic79—21no—
604C4×Dic79—21no—
605C4×Dic79—21no—
606C4×Dic79—21no—
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79C2×D411yescharacteristic
614C4×Dic79C2×D411yescharacteristic
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2×D411yescharacteristic
617C4×Dic79C2411yescharacteristic
618C4×Dic79C2411yescharacteristic
619C2×Q8×C79—21no—
620C2×Q8×C79—21no—
621C2×Q8×C79—21no—
622C2×Q8×C79C2411yescharacteristic
623C2×D4×C79—21no—
624C2×D4×C79C2411yescharacteristic
625C22×C4×C79—21no—
626C22×C4×C79—21no—
627C22×C4×C79C2411yescharacteristic
628C2×C8×C79C2411yescharacteristic
629C2×C8×C79C2411yescharacteristic
630C2×C8×C79C2411yescharacteristic
631C2×C8×C79C2411yescharacteristic
632C4⋊C4×C79—21no—
633C4⋊C4×C79—21no—
634C4⋊C4×C79—21no—
635C4⋊C4×C79—21no—
636C4⋊C4×C79—21no—
637C4⋊C4×C79—21no—
638C4⋊C4×C79—21no—
639C4⋊C4×C79—21no—
640C4⋊C4×C79—21no—
641C4⋊C4×C79—21no—
642C4⋊C4×C79C2×D411yescharacteristic
643C4⋊C4×C79C2×D411yescharacteristic
644C4⋊C4×C79C2411yescharacteristic
645C4⋊C4×C79C2411yescharacteristic
646C4⋊C4×C79C2411yescharacteristic
647C4⋊C4×C79C2411yescharacteristic
648C4⋊C4×C79C2411yescharacteristic
649C4⋊C4×C79C2411yescharacteristic
650C22⋊C4×C79—21no—
651C22⋊C4×C79—21no—
652C22⋊C4×C79—21no—
653C22⋊C4×C79—21no—
654C22⋊C4×C79—21no—
655C22⋊C4×C79—21no—
656C22⋊C4×C79C2×D411yescharacteristic
657C22⋊C4×C79C2×D411yescharacteristic
658C42×C79—21no—
659C42×C79—21no—
660C42×C79C2411yescharacteristic
661C42×C79C2411yescharacteristic
662C23×C79—21no—
663C23×C79C22×D411yescharacteristic
664C22×D79—22no—
665C22×D79—21no—
666C22×D79—41no—
667C22×D79—41no—
668C22×D79—42no—
669C22×D79—42no—
670C22×D79—42no—
671C22×D79C22×D411yescharacteristic
672C22×D79C22×D411yescharacteristic
673Q8×C79—21no—
674Q8×C79—21no—
675Q8×C79—81no—
676Q8×C79—81no—
677Q8×C79—81no—
678D4×C79—21no—
679D4×C79—21no—
680D4×C79—81no—
681C2×C4×C79—21no—
682C2×C4×C79—21no—
683C2×C4×C79—21no—
684C2×C4×C79—21no—
685C2×C4×C79—21no—
686C2×C4×C79—21no—
687C2×C4×C79—21no—
688C2×C4×C79—21no—
689C2×C4×C79—21no—
690C2×C4×C79—81no—
691C2×C4×C79—81no—
692C2×C4×C79C22×D411yescharacteristic
693C2×C4×C79C22×D411yescharacteristic
694C2×C4×C79C22×D411yescharacteristic
695C2×C4×C79C22×D411yescharacteristic
696C2×C4×C79C22×D411yescharacteristic
697C2×C4×C79C2511yescharacteristic
698C22⋊D79—42no—
699C22⋊D79—81no—
700C22⋊D79—81no—
701C2×Dic79—22no—
702C2×Dic79—21no—
703C2×Dic79—21no—
704C2×Dic79—21no—
705C2×Dic79—21no—
706C2×Dic79—21no—
707C2×Dic79—21no—
708C2×Dic79—21no—
709C2×Dic79—81no—
710C2×Dic79—81no—
711C2×Dic79C22×D411yescharacteristic
712C2×Dic79C22×D411yescharacteristic
713C2×Dic79C22×D411yescharacteristic
714C2×Dic79C22×D411yescharacteristic
715C2×Dic79C22×D411yescharacteristic
716C2×Dic79C22×D411yescharacteristic
717D316—21no—
718D316—21no—
719D316—81no—
720C4×D79—22no—
721C4×D79—21no—
722C4×D79—21no—
723C4×D79—22no—
724C4×D79—41no—
725C4×D79—41no—
726C4×D79—41no—
727C4×D79—41no—
728C4×D79—42no—
729C4×D79—42no—
730C4×D79—42no—
731C4×D79—81no—
732C4×D79—81no—
733C4×D79—81no—
734C4×D79—81no—
735C4×D792−1+412yes—
736C4×D792−1+412yes—
737Dic158—21no—
738Dic158—21no—
739Dic158—42no—
740Dic158—81no—
741Dic158—81no—
742Dic158—81no—
743Dic158—81no—
744Dic158—81no—
745Dic158—81no—
746Dic158—81no—
747Dic158—81no—
748Dic158—81no—
749C8×C79—21no—
750C8×C79—21no—
751C8×C79—21no—
752C8×C79—21no—
753C79⋊C8—21no—
754C79⋊C8—21no—
755C79⋊C8—21no—
756C79⋊C8—21no—
757C22×C79—21no—
758C22×C79—21no—
759C22×C79—21no—
760C22×C79—41no—
761C22×C79—41no—
762C22×C79—41no—
763C22×C79C23×D411yescharacteristic
764C2×D79—21no—
765C2×D79—21no—
766C2×D79—21no—
767C2×D79—21no—
768C2×D79—21no—
769C2×D79—41no—
770C2×D79—41no—
771C2×D79—41no—
772C2×D79—82no—
773C2×D79—84no—
774C2×D79#53612yes—
775C4×C79—21no—
776C4×C79—21no—
777C4×C79—21no—
778C4×C79—21no—
779C4×C79—21no—
780C4×C79—41no—
781C4×C79—41no—
782C4×C79—41no—
783C4×C79—41no—
784C4×C79—41no—
785C4×C79—41no—
786C4×C79—41no—
787C4×C79C2×2−1+411yescharacteristic
788C4×C79C2×2−1+411yescharacteristic
789Dic79—21no—
790Dic79—21no—
791Dic79—21no—
792Dic79—21no—
793Dic79—21no—
794Dic79—41no—
795Dic79—41no—
796Dic79—41no—
797Dic79—41no—
798Dic79—41no—
799Dic79—41no—
800Dic79—41no—
801Dic79#53612yes—
802#60870—791nomaximal, Sylow
803C2×C79—41no—
804C2×C79—81no—
805C2×C79C2×#53611yescharacteristic
806C2×C79#358511yescharacteristic
807C2×C79#358611yescharacteristic
808D79—22no—
809D79—41no—
810D79—81no—
811#3458—791no—
812C2×#542—791no—
813#3244—791no—
814#3244—791no—
815#3244—791no—
816#3244—791no—
817#3244—791no—
818#3244—791no—
819#3244—791no—
820#3244—791no—
821#3243—791no—
822#3243—791no—
823#3243—791no—
824#3243—791no—
825#3243—791no—
826#3243—791no—
827#3243—791no—
828#3243D7911yescharacteristic, complemented
829#3165—791no—
830#3165—791no—
831#3140—791no—
832#3140—791no—
833#3095—791no—
834#3095—791no—
835#3094—791no—
836#3094—791no—
837#3078—791no—
838#3078—791no—
839#3077—791no—
840#3077—791no—
841#2921—791no—
842C79#6087011yescharacteristic, complemented, Sylow
843#544—791no—
844#544—791no—
845#544—791no—
846#544—791no—
847#544—791no—
848#544—791no—
849#544—791no—
850#544—1581no—
851#544—1581no—
852#544C2×D7911yescharacteristic, complemented
853#543—1581no—
854#543—1581no—
855#542—791no—
856#542—791no—
857#542—791no—
858#542—791no—
859#542—791no—
860#542—791no—
861#542—791no—
862#542—1581no—
863#542—1581no—
864#542—1581no—
865#542—1581no—
866#542C2×D7911yescharacteristic
867#533—791no—
868#533—791no—
869#533—791no—
870#533—791no—
871#533—1581no—
872#533—1581no—
873#533—1581no—
874#533—1581no—
875C2×C4⋊Q8—791no—
876C2×#126—1581no—
877C2×#124—791no—
878C2×#124—1581no—
879C2×#123—1581no—
880C2×C22⋊Q8—791no—
881C2×C22⋊Q8—1581no—
882C2×#121—791no—
883C2×C4×Q8—791no—
884C2×C4×D4—791no—
885C2×#117—791no—
886C2×#117—791no—
887C2×#117—791no—
888#501—791no—
889#501—791no—
890#501—791no—
891#501—791no—
892#501—791no—
893#501—791no—
894#501—791no—
895#501C2×D7911yescharacteristic, complemented
896#500—791no—
897#500—791no—
898#500—791no—
899#500C2×D7911yescharacteristic, complemented
900#498—791no—
901#498—791no—
902#498—791no—
903#498—791no—
904#489—791no—
905#489—791no—
906#489—791no—
907#489—791no—
908#489—791no—
909#489—791no—
910#489—791no—
911#489C2×D7911yescharacteristic, complemented
912#488—791no—
913#488—791no—
914#488—791no—
915#488—791no—
916#488—791no—
917#488—791no—
918#488—791no—
919#488C2×D7911yescharacteristic, complemented
920#485—791no—
921#485—791no—
922#485—791no—
923#485—791no—
924#485—791no—
925#485—791no—
926#485—791no—
927#485C2×D7911yescharacteristic, complemented
928#484—791no—
929#484—791no—
930#484—791no—
931#484C2×D7911yescharacteristic, complemented
932#483—791no—
933#483—791no—
934#483—791no—
935#483—791no—
936#482—791no—
937#482—791no—
938#482—791no—
939#482—791no—
940#482—791no—
941#482—791no—
942#482—791no—
943#482C2×D7911yescharacteristic
944#481—791no—
945#481—791no—
946#481—791no—
947#481—791no—
948#480—791no—
949#480—791no—
950#480—791no—
951#480C2×D7911yescharacteristic
952#479—791no—
953#479—791no—
954#479—791no—
955#479—791no—
956#479—791no—
957#479—791no—
958#479—791no—
959#479C2×D7911yescharacteristic, complemented
960#478—791no—
961#478—791no—
962#478—791no—
963#478—791no—
964#478—791no—
965#478—791no—
966#478—791no—
967#478C2×D7911yescharacteristic, complemented
968#477—791no—
969#477—791no—
970#477—791no—
971#477C2×D7911yescharacteristic, complemented
972#476—791no—
973#476—791no—
974#476—791no—
975#476—791no—
976#475—791no—
977#475—791no—
978#475—791no—
979#475—791no—
980#474—791no—
981#474—791no—
982#474—791no—
983#474C2×D7911yescharacteristic, complemented
984#433—791no—
985#433—791no—
986#433—791no—
987#433—791no—
988#433—791no—
989#433—791no—
990#433—791no—
991#433C2×D7911yescharacteristic, complemented
992#428—791no—
993#428—791no—
994#428—791no—
995#428—791no—
996#428—791no—
997#428—791no—
998#428—791no—
999#428—791no—
1000#423—791no—
1001#423—791no—
1002#419—791no—
1003#419—791no—
1004#419—791no—
1005#419—791no—
1006#418—791no—
1007#418—791no—
1008#418—791no—
1009#418—791no—
1010#407—791no—
1011#407—791no—
1012C4×M16—791no—
1013C4×M16—791no—
1014C22×Q8—791no—
1015C22×Q8—1581no—
1016C22×D4—791no—
1017C22×D4—1581no—
1018C23×C4—791no—
1019C23×C4—1581no—
1020C2×M16—791no—
1021C2×M16—791no—
1022C2×M16—791no—
1023C2×M16—791no—
1024C4⋊Q8—21no—
1025C4⋊Q8—791no—
1026C4⋊Q8—791no—
1027C4⋊Q8—791no—
1028C4⋊Q8—791no—
1029C4⋊Q8—791no—
1030C4⋊Q8—791no—
1031C4⋊Q8—791no—
1032C4⋊Q8—791no—
1033C4⋊Q8—791no—
1034C4⋊Q8—1581no—
1035C4⋊Q8—1581no—
1036C4⋊Q8—1581no—
1037C4⋊Q8—1581no—
1038C4⋊Q8—1581no—
1039C4⋊Q8—1581no—
1040C4⋊Q8—1581no—
1041C4⋊Q8—1581no—
1042C4⋊Q8—1581no—
1043C4⋊Q8C22×D7911yescharacteristic
1044C4⋊Q8C22×D7911yescharacteristic
1045C4⋊Q8C22×D7911yescharacteristic
1046#126—21no—
1047#126—1581no—
1048#126—1581no—
1049#126—1581no—
1050#126—1581no—
1051#126—1581no—
1052#126—1581no—
1053#126—1581no—
1054#125—21no—
1055#125—791no—
1056#125—791no—
1057#125—791no—
1058#125—791no—
1059#125—791no—
1060#125—791no—
1061#125—1581no—
1062#125—1581no—
1063#125—1581no—
1064#125—1581no—
1065#125—1581no—
1066#125—1581no—
1067#125—1581no—
1068#125C22×D7911yescharacteristic
1069#125C22×D7911yescharacteristic
1070#124—21no—
1071#124—791no—
1072#124—791no—
1073#124—791no—
1074#124—1581no—
1075#124—1581no—
1076#124—1581no—
1077#124—1581no—
1078#124—1581no—
1079#124—1581no—
1080#124—1581no—
1081#124—1581no—
1082#124—1581no—
1083#124C22×D7911yescharacteristic
1084#123—21no—
1085#123—1581no—
1086#123—1581no—
1087#123—1581no—
1088#123—1581no—
1089#123—1581no—
1090#123—1581no—
1091#123—1581no—
1092C22⋊Q8—21no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—791no—
1096C22⋊Q8—791no—
1097C22⋊Q8—791no—
1098C22⋊Q8—1581no—
1099C22⋊Q8—1581no—
1100C22⋊Q8—1581no—
1101C22⋊Q8—1581no—
1102C22⋊Q8—1581no—
1103C22⋊Q8—1581no—
1104C22⋊Q8—1581no—
1105C22⋊Q8—1581no—
1106C22⋊Q8—1581no—
1107C22⋊Q8—1581no—
1108C22⋊Q8—1581no—
1109C22⋊Q8—1581no—
1110C22⋊Q8—1581no—
1111C22⋊Q8—1581no—
1112C22⋊Q8—1581no—
1113C22⋊Q8—1581no—
1114C22⋊Q8—1581no—
1115C22⋊Q8—1581no—
1116C22⋊Q8—1581no—
1117C22⋊Q8—1581no—
1118C22⋊Q8—1581no—
1119C22⋊Q8—1581no—
1120C22⋊Q8—1581no—
1121C22⋊Q8—1581no—
1122C22⋊Q8—1581no—
1123C22⋊Q8—1581no—
1124C22⋊Q8—1581no—
1125C22⋊Q8—1581no—
1126C22⋊Q8—1581no—
1127C22⋊Q8—1581no—
1128C22⋊Q8—1581no—
1129C22⋊Q8C22×D7911yescharacteristic
1130#121—791no—
1131#121—791no—
1132#121—791no—
1133#121—1581no—
1134#121—1581no—
1135#121C22×D7911yescharacteristic
1136C4×Q8—791no—
1137C4×Q8—791no—
1138C4×Q8—791no—
1139C4×Q8—1581no—
1140C4×Q8—1581no—
1141C4×Q8—1581no—
1142C4×Q8—1581no—
1143C4×Q8—1581no—
1144C4×Q8—1581no—
1145C4×Q8—1581no—
1146C4×Q8—1581no—
1147C4×Q8—1581no—
1148C4×Q8—1581no—
1149C4×Q8C22×D7911yescharacteristic
1150C4×D4—791no—
1151C4×D4—791no—
1152C4×D4—791no—
1153C4×D4—1581no—
1154C4×D4—1581no—
1155C4×D4C22×D7911yescharacteristic
1156#117—791no—
1157#117—791no—
1158#117—791no—
1159#117—791no—
1160#117—791no—
1161#117—791no—
1162#117—791no—
1163#117—791no—
1164#117—791no—
1165#117—791no—
1166#117—791no—
1167#117—791no—
1168#117—791no—
1169#117—791no—
1170#117—1581no—
1171#117—1581no—
1172#117—1581no—
1173#117—1581no—
1174#117C22×D7911yescharacteristic
1175#117C22×D7911yescharacteristic
1176C2×C4⋊C4—791no—
1177C2×C4⋊C4—791no—
1178C2×C4⋊C4—791no—
1179C2×C4⋊C4—791no—
1180C2×C4⋊C4—791no—
1181C2×C4⋊C4—791no—
1182C2×C4⋊C4—791no—
1183C2×C4⋊C4—1581no—
1184C2×C4⋊C4—1581no—
1185C2×C4⋊C4—1581no—
1186C2×C4⋊C4C22×D7911yescharacteristic
1187C2×C22⋊C4—791no—
1188C2×C22⋊C4—791no—
1189C2×C22⋊C4—1581no—
1190C2×C22⋊C4—1581no—
1191C2×C22⋊C4—1581no—
1192C2×C22⋊C4—1581no—
1193C2×C22⋊C4—1581no—
1194C2×C22⋊C4—1581no—
1195C2×C22⋊C4—1581no—
1196C2×C42—791no—
1197C2×C42—791no—
1198C2×C42—1581no—
1199C2×C42—1581no—
1200C2×C42—1581no—
1201#107—791no—
1202#107—791no—
1203#107—791no—
1204#107—791no—
1205#107—791no—
1206#107—791no—
1207#107—791no—
1208#107—791no—
1209#107—791no—
1210#107—791no—
1211#107C22×D7911yescharacteristic
1212#107C22×D7911yescharacteristic
1213#107C22×D7911yescharacteristic
1214#107C22×D7911yescharacteristic
1215#107C22×D7911yescharacteristic
1216#107C22×D7911yescharacteristic
1217#106—791no—
1218#106—791no—
1219#106—791no—
1220#106—791no—
1221#106—791no—
1222#106—791no—
1223#106—791no—
1224#106—791no—
1225#106—791no—
1226#106—791no—
1227#106—791no—
1228#106—791no—
1229#106—791no—
1230#106—791no—
1231#106C22×D7911yescharacteristic
1232#106C22×D7911yescharacteristic
1233C4⋊C8—791no—
1234C4⋊C8—791no—
1235C4⋊C8—791no—
1236C4⋊C8—791no—
1237C4⋊C8—791no—
1238C4⋊C8—791no—
1239C4⋊C8C22×D7911yescharacteristic
1240C4⋊C8C22×D7911yescharacteristic
1241#103—791no—
1242#103—791no—
1243#103—791no—
1244#103—791no—
1245#103—791no—
1246#103—791no—
1247#103—791no—
1248#103—791no—
1249#103—791no—
1250#103—791no—
1251#103—791no—
1252#103—791no—
1253#103C22×D7911yescharacteristic
1254#103C22×D7911yescharacteristic
1255#103C22×D7911yescharacteristic
1256#103C22×D7911yescharacteristic
1257#102—791no—
1258#102—791no—
1259#102—791no—
1260#102—791no—
1261#102—791no—
1262#102—791no—
1263#102—791no—
1264#102—791no—
1265#102—791no—
1266#102—791no—
1267#102—791no—
1268#102—791no—
1269#102C22×D7911yescharacteristic
1270#102C22×D7911yescharacteristic
1271#102C22×D7911yescharacteristic
1272#102C22×D7911yescharacteristic
1273C22⋊C8—791no—
1274C22⋊C8—791no—
1275C22⋊C8—791no—
1276C22⋊C8—791no—
1277C22⋊C8—791no—
1278C22⋊C8—791no—
1279C22⋊C8C22×D7911yescharacteristic
1280C22⋊C8C22×D7911yescharacteristic
1281#97—791no—
1282#97—791no—
1283#97—791no—
1284#97C22×D7911yescharacteristic
1285C4×C8—791no—
1286C4×C8—791no—
1287C4×C8—791no—
1288C4×C8C22×D7911yescharacteristic
1289C24—791no—
1290C24—1581no—
1291C2×Q8—21no—
1292C2×Q8—21no—
1293C2×Q8—21no—
1294C2×Q8—791no—
1295C2×Q8—6322no—
1296C2×Q8—1581no—
1297C2×Q8—1581no—
1298C2×Q8—1581no—
1299C2×Q8—1581no—
1300C2×Q8—1581no—
1301C2×Q8—1581no—
1302C2×Q8—1581no—
1303C2×Q8—1582no—
1304C2×Q8—1582no—
1305C2×Q8—1581no—
1306C2×Q8—1581no—
1307C2×Q8—1581no—
1308C2×Q8C23×D7911yescharacteristic
1309C2×D4—21no—
1310C2×D4—791no—
1311C2×D4—6322no—
1312C2×D4—1581no—
1313C2×D4—1582no—
1314C2×D4—1582no—
1315C2×D4—1581no—
1316C2×D4—1581no—
1317C2×D4—1581no—
1318C2×D4C23×D7911yescharacteristic
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—791no—
1322C22×C4—791no—
1323C22×C4—791no—
1324C22×C4—791no—
1325C22×C4—791no—
1326C22×C4—791no—
1327C22×C4—791no—
1328C22×C4—791no—
1329C22×C4—791no—
1330C22×C4—6322no—
1331C22×C4—1581no—
1332C22×C4—1581no—
1333C22×C4—1581no—
1334C22×C4—1581no—
1335C22×C4—1582no—
1336C22×C4—1582no—
1337C22×C4—1581no—
1338C22×C4—1581no—
1339C22×C4—1581no—
1340C22×C4—1581no—
1341C22×C4—1581no—
1342C22×C4C23×D7911yescharacteristic
1343M16—1582no—
1344M16—1582no—
1345M16—1582no—
1346M16—1582no—
1347C2×C8—791no—
1348C2×C8—791no—
1349C2×C8—791no—
1350C2×C8—791no—
1351C2×C8C23×D7911yescharacteristic
1352C2×C8C23×D7911yescharacteristic
1353C2×C8C23×D7911yescharacteristic
1354C2×C8C23×D7911yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—791no—
1366C4⋊C4—791no—
1367C4⋊C4—791no—
1368C4⋊C4—791no—
1369C4⋊C4—791no—
1370C4⋊C4—791no—
1371C4⋊C4—791no—
1372C4⋊C4—791no—
1373C4⋊C4—791no—
1374C4⋊C4—791no—
1375C4⋊C4—791no—
1376C4⋊C4—791no—
1377C4⋊C4—1581no—
1378C4⋊C4—1581no—
1379C4⋊C4—1581no—
1380C4⋊C4—1581no—
1381C4⋊C4—1581no—
1382C4⋊C4—1581no—
1383C4⋊C4—1581no—
1384C4⋊C4—1581no—
1385C4⋊C4—1581no—
1386C4⋊C4—1581no—
1387C4⋊C4—1581no—
1388C4⋊C4—1581no—
1389C4⋊C4—1581no—
1390C4⋊C4—1581no—
1391C4⋊C4—1581no—
1392C4⋊C4—1581no—
1393C4⋊C4—1581no—
1394C4⋊C4—1581no—
1395C4⋊C4—1581no—
1396C4⋊C4—1581no—
1397C4⋊C4—1581no—
1398C4⋊C4—1581no—
1399C4⋊C4—1581no—
1400C4⋊C4—1581no—
1401C4⋊C4—1581no—
1402C4⋊C4—1581no—
1403C4⋊C4—1581no—
1404C4⋊C4—1581no—
1405C4⋊C4—1581no—
1406C4⋊C4—1581no—
1407C4⋊C4—1581no—
1408C4⋊C4—1581no—
1409C4⋊C4D4×D7911yescharacteristic
1410C4⋊C4D4×D7911yescharacteristic
1411C4⋊C4C23×D7911yescharacteristic
1412C4⋊C4C23×D7911yescharacteristic
1413C4⋊C4C23×D7911yescharacteristic
1414C4⋊C4C23×D7911yescharacteristic
1415C4⋊C4C23×D7911yescharacteristic
1416C4⋊C4C23×D7911yescharacteristic
1417C22⋊C4—21no—
1418C22⋊C4—21no—
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—791no—
1424C22⋊C4—791no—
1425C22⋊C4—791no—
1426C22⋊C4—791no—
1427C22⋊C4—791no—
1428C22⋊C4—791no—
1429C22⋊C4—1581no—
1430C22⋊C4—1581no—
1431C22⋊C4—1581no—
1432C22⋊C4—1581no—
1433C22⋊C4—1581no—
1434C22⋊C4—1581no—
1435C22⋊C4—1581no—
1436C22⋊C4—1581no—
1437C22⋊C4—1581no—
1438C22⋊C4—1581no—
1439C22⋊C4—1581no—
1440C22⋊C4—1581no—
1441C22⋊C4—1581no—
1442C22⋊C4—1581no—
1443C22⋊C4—1581no—
1444C22⋊C4—1581no—
1445C22⋊C4—1581no—
1446C22⋊C4—1581no—
1447C22⋊C4—1581no—
1448C22⋊C4—1581no—
1449C22⋊C4—1581no—
1450C22⋊C4—1581no—
1451C22⋊C4D4×D7911yescharacteristic
1452C22⋊C4D4×D7911yescharacteristic
1453C42—21no—
1454C42—21no—
1455C42—791no—
1456C42—791no—
1457C42—791no—
1458C42—791no—
1459C42—791no—
1460C42—791no—
1461C42—1581no—
1462C42—1581no—
1463C42—1581no—
1464C42—1581no—
1465C42—1581no—
1466C42—1581no—
1467C42—1581no—
1468C42—1581no—
1469C42—1581no—
1470C42—1581no—
1471C42C23×D7911yescharacteristic
1472C42C23×D7911yescharacteristic
1473C23—21no—
1474C23—3161no—
1475C23—3161no—
1476C23—3162no—
1477C23—3162no—
1478C23—3162no—
1479C23—791no—
1480C23—791no—
1481C23—1582no—
1482C23—1581no—
1483C23C2×D4×D7911yescharacteristic
1484Q8—21no—
1485Q8—21no—
1486Q8—81no—
1487Q8—81no—
1488Q8—81no—
1489Q8—3162no—
1490Q8—6321no—
1491Q8—6321no—
1492Q8—6321no—
1493Q8—6321no—
1494Q8—6321no—
1495Q8—6321no—
1496Q8—6321no—
1497Q8—6321no—
1498Q8—6321no—
1499Q8—1581no—
1500Q8—1581no—
1501D4—21no—
1502D4—21no—
1503D4—81no—
1504D4—3162no—
1505D4—6321no—
1506D4—6321no—
1507D4—6321no—
1508D4—1581no—
1509D4—1581no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—81no—
1520C2×C4—81no—
1521C2×C4—3161no—
1522C2×C4—3161no—
1523C2×C4—3161no—
1524C2×C4—3161no—
1525C2×C4—3162no—
1526C2×C4—3162no—
1527C2×C4—3162no—
1528C2×C4—791no—
1529C2×C4—792no—
1530C2×C4—792no—
1531C2×C4—791no—
1532C2×C4—791no—
1533C2×C4—791no—
1534C2×C4—791no—
1535C2×C4—791no—
1536C2×C4—6321no—
1537C2×C4—6321no—
1538C2×C4—6321no—
1539C2×C4—6321no—
1540C2×C4—6321no—
1541C2×C4—6321no—
1542C2×C4—1582no—
1543C2×C4—1582no—
1544C2×C4—1581no—
1545C2×C4—1581no—
1546C2×C4—1581no—
1547C2×C4—1581no—
1548C2×C4—1581no—
1549C2×C4—1581no—
1550C2×C4—1581no—
1551C2×C4—1582no—
1552C2×C4—1581no—
1553C2×C4—1581no—
1554C2×C4C2×D4×D7911yescharacteristic
1555C2×C4C2×D4×D7911yescharacteristic
1556C2×C4C2×D4×D7911yescharacteristic
1557C2×C4C2×D4×D7911yescharacteristic
1558C2×C4C2×D4×D7911yescharacteristic
1559C2×C4C24×D7911yescharacteristic
1560C8—21no—
1561C8—21no—
1562C8—21no—
1563C8—21no—
1564C8—1581no—
1565C8—1581no—
1566C8—1581no—
1567C8—1581no—
1568C22—21no—
1569C22—21no—
1570C22—21no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—3161no—
1575C22—3161no—
1576C22—3161no—
1577C22—792no—
1578C22—6322no—
1579C22—6324no—
1580C22—1581no—
1581C22—1581no—
1582C22—1581no—
1583C22—1581no—
1584C22—1581no—
1585C22C22×D4×D7911yescharacteristic
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—3161no—
1599C4—3161no—
1600C4—3161no—
1601C4—3161no—
1602C4—3161no—
1603C4—3161no—
1604C4—3161no—
1605C4—792no—
1606C4—1581no—
1607C4—1581no—
1608C4—1581no—
1609C4—1581no—
1610C4—1581no—
1611C42−1+4×D7911yescharacteristic
1612C42−1+4×D7911yescharacteristic
1613C2—41no—
1614C2—81no—
1615C2—3161no—
1616C2—6321no—
1617C2—1582no—
1618C2#536×D7911yescharacteristic
1619C2#2377817511yescharacteristic
1620C2#2377818511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3243C2
socleC22×C79C23×D4
prime radical#121×D79C22
hypercenter#3243D79
hypocenterC79#60870
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3243

Complements

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

NH ≅ G/Ntype
1. #23776804C2semidirect
3. #23774705C2semidirect
4. #23774704C2semidirect
5. #23774700C2semidirect
6. #23774699C2semidirect
7. #23774697C2semidirect
8. #23774696C2semidirect
9. #23774692C2semidirect
10. #23774691C2semidirect
11. #23774688C2semidirect
12. #23774687C2semidirect
13. #23774686C2semidirect
14. #23774683C2semidirect
15. #23774680C2semidirect
16. #23774679C2semidirect
17. #23774678C2semidirect
18. #23773945C2semidirect
19. #23773943C2semidirect
20. #23773785C2semidirect
21. #23773783C2semidirect
22. #23773347C2semidirect
23. #23773345C2semidirect
26. #23773206C2semidirect
27. #23773203C2semidirect
28. #23773195C2semidirect
29. #23773192C2semidirect
30. #23772034C2semidirect
31. C79×#3243C2semidirect
32. #19099194C22semidirect
34. #19099193C22semidirect
35. #19099193C22semidirect
36. #19099191C22semidirect
37. #19099191C22semidirect
39. #19099190C22semidirect
40. #19099190C22semidirect
75. #19098973C22semidirect
76. #19098972C22semidirect
77. #19098971C22semidirect
78. #19098971C22semidirect
79. #19098971C22semidirect
80. #19098971C22semidirect
81. #19098969C22semidirect
82. #19098967C22semidirect
83. #19098967C22semidirect
84. #19098966C22semidirect
85. #19098961C22semidirect
86. #19098960C22semidirect
87. #19098960C22semidirect
88. #19098959C22semidirect
89. #19098925C22semidirect
90. #19098924C22semidirect
91. #19098924C22semidirect
92. #19098923C22semidirect
93. #19098922C22semidirect
94. #19098921C22semidirect
95. #19098921C22semidirect
96. #19098920C22semidirect
97. #19098919C22semidirect
98. #19098919C22semidirect
99. #19098918C22semidirect
100. #19098917C22semidirect
101. #19098916C22semidirect
102. #19098916C22semidirect
103. #19098906C22semidirect
104. #19098906C22semidirect
105. #19098905C22semidirect
106. #19098904C22semidirect
107. #19098902C22semidirect
108. #19098902C22semidirect
109. #19098901C22semidirect
110. #19098900C22semidirect
111. #19098898C22semidirect
112. #19098897C22semidirect
113. #19098895C22semidirect
114. #19098894C22semidirect
115. #19098892C22semidirect
116. #19098891C22semidirect
131. #19098871C22semidirect
132. #19098870C22semidirect
133. #19098869C22semidirect
134. #19098869C22semidirect
135. #19098868C22semidirect
136. #19098868C22semidirect
137. #19098867C22semidirect
138. #19098866C22semidirect
139. #19098866C22semidirect
140. #19098865C22semidirect
141. #19098865C22semidirect
142. #19098864C22semidirect
143. #19098863C22semidirect
144. #19098860C22semidirect
145. #19098857C22semidirect
146. #19098856C22semidirect
147. #19098855C22semidirect
148. #19098854C22semidirect
149. #19098853C22semidirect
150. #19098852C22semidirect
151. #19098851C22semidirect
152. #19098849C22semidirect
153. #19098848C22semidirect
154. #19098847C22semidirect
155. #19098846C22semidirect
156. #19098842C22semidirect
157. #19098841C22semidirect
158. #19098840C22semidirect
159. #19098625C22semidirect
160. #19098624C22semidirect
161. #19098623C22semidirect
162. #19098623C22semidirect
163. #19098622C22semidirect
164. #19098621C22semidirect
165. #19098621C22semidirect
188. #544×C79C22semidirect
190. #501×C79C22semidirect
191. #500×C79C22semidirect
192. #489×C79C22semidirect
193. #488×C79C22semidirect
194. #485×C79C22semidirect
195. #484×C79C22semidirect
198. #479×C79C22semidirect
199. #478×C79C22semidirect
200. #477×C79C22semidirect
201. #474×C79C22semidirect
202. #433×C79C22semidirect
828. #3243D79semidirect
842. C79#60870semidirect
852. #544C2×D79semidirect
895. #501C2×D79semidirect
899. #500C2×D79semidirect
911. #489C2×D79semidirect
919. #488C2×D79semidirect
927. #485C2×D79semidirect
931. #484C2×D79semidirect
959. #479C2×D79semidirect
967. #478C2×D79semidirect
971. #477C2×D79semidirect
983. #474C2×D79semidirect
991. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237768042
#542×D792
#237747052
#237747042
#237747002
#237746992
#237746972
#237746962
#237746922
#237746912
#237746882
#237746872
#237746862
#237746832
#237746802
#237746792
#237746782
#237739452
#237739432
#237737852
#237737832
#237733472
#237733452
#237733392
#237733352
#237732062
#237732032
#237731952
#237731922
#237720342
C79×#32432
#6087079