Finite Group Databasebeta

← #35158419

Subgroups — #35158419

Order 20224.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23776787C211yesmaximal, characteristic, complemented
2#542×D79C211yesmaximal, characteristic, complemented
3#23774087C211yesmaximal, characteristic, complemented
4#23774086C211yesmaximal, characteristic, complemented
5#23774081C211yesmaximal, characteristic, complemented
6#23774076C211yesmaximal, characteristic, complemented
7#23774072C211yesmaximal, characteristic, complemented
8#23774071C211yesmaximal, characteristic, complemented
9#23774066C211yesmaximal, characteristic, complemented
10#23774061C211yesmaximal, characteristic, complemented
11#23774042C211yesmaximal, characteristic, complemented
12#23774038C211yesmaximal, characteristic, complemented
13#23774033C211yesmaximal, characteristic, complemented
14#23774017C211yesmaximal, characteristic, complemented
15#23774016C211yesmaximal, characteristic, complemented
16#23774014C211yesmaximal, characteristic, complemented
17#23774011C211yesmaximal, characteristic, complemented
18#23773943C211yesmaximal, characteristic, complemented
19#23773861C211yesmaximal, characteristic, complemented
20#23773792C211yesmaximal, characteristic, complemented
21#23773785C211yesmaximal, characteristic, complemented
22#23773027C211yesmaximal, characteristic, complemented
23#23773025C211yesmaximal, characteristic, complemented
24#23773016C211yesmaximal, characteristic, complemented
25#23773014C211yesmaximal, characteristic, complemented
26#23772222C211yesmaximal, characteristic, complemented
27C4×#14579193C211yesmaximal, characteristic, complemented
28#23772205C211yesmaximal, characteristic, complemented
29C4×#14579185C211yesmaximal, characteristic, complemented
30#23771816C211yesmaximal, characteristic, complemented
31C79×#3175C211yesmaximal, characteristic, complemented
32C2×#14579193C2211yescharacteristic
33C2×#14579190C2211yescharacteristic
34C2×#14579188C2211yescharacteristic
35C2×#14579185C2211yescharacteristic
36C22×#11929607C2211yescharacteristic
37C2×M16×D79C2211yescharacteristic
38#19099187C2211yescharacteristic
39#19099187C2211yescharacteristic, complemented
40#19099186C2211yescharacteristic
41#19099185C2211yescharacteristic
42#19099184C2211yescharacteristic
43#19099184C2211yescharacteristic, complemented
44#19099183—21no—
45#19099182C2211yescharacteristic
46#19099182C2211yescharacteristic, complemented
47#19099181—21no—
48#19099180C2211yescharacteristic
49#19099179—21no—
50#19099178C2211yescharacteristic
51#19099177—21no—
52#19099173C2211yescharacteristic, complemented
53#19099171C2211yescharacteristic, complemented
54#19099166C2211yescharacteristic, complemented
55#19099164C2211yescharacteristic, complemented
56#19099159—21no—
57#19099154—21no—
58#19099149—21no—
59#19099147—21no—
60#19099118C2211yescharacteristic
61#19099112C2211yescharacteristic
62C4⋊Q8×D79C2211yescharacteristic
63#19099099—21no—
64#19099096—21no—
65#19099092—21no—
66#19099090—21no—
67#126×D79—21no—
68#124×D79—21no—
69#124×D79C2211yescharacteristic
70#19099076C2211yescharacteristic
71#19099073C2211yescharacteristic
72#123×D79—21no—
73C22⋊Q8×D79—21no—
74C22⋊Q8×D79C2211yescharacteristic
75#121×D79C2211yescharacteristic
76C4×#11929625C2211yescharacteristic
77C4×#11929623C2211yescharacteristic
78C4×Q8×D79C2211yescharacteristic
79C4×D4×D79C2211yescharacteristic
80#117×D79C2211yescharacteristic
81#19098971C2211yescharacteristic, complemented
82#19098971C2211yescharacteristic, complemented
83#19098971C2211yescharacteristic, complemented
84#19098971C2211yescharacteristic, complemented
85#19098966C2211yescharacteristic, complemented
86#19098961C2211yescharacteristic, complemented
87#19098959C2211yescharacteristic, complemented
88#19098956C2211yescharacteristic, complemented
89#19098954C2211yescharacteristic, complemented
90#19098951C2211yescharacteristic, complemented
91#19098949C2211yescharacteristic, complemented
92#19098947C2211yescharacteristic, complemented
93#19098945C2211yescharacteristic, complemented
94#19098945C2211yescharacteristic, complemented
95#19098925C2211yescharacteristic, complemented
96#19098925C2211yescharacteristic, complemented
97#19098923C2211yescharacteristic, complemented
98#19098923C2211yescharacteristic, complemented
99#19098922C2211yescharacteristic, complemented
100#19098922C2211yescharacteristic, complemented
101#19098919C2211yescharacteristic, complemented
102#19098919C2211yescharacteristic, complemented
103#19098916C2211yescharacteristic, complemented
104#19098916C2211yescharacteristic, complemented
105#19098912C2211yescharacteristic, complemented
106#19098912C2211yescharacteristic, complemented
107#19098908C2211yescharacteristic, complemented
108#19098908C2211yescharacteristic, complemented
109#19098821C2211yescharacteristic, complemented
110#19098820C2211yescharacteristic, complemented
111#19098819C2211yescharacteristic, complemented
112#19098818C2211yescharacteristic, complemented
113#19098816C2211yescharacteristic
114#19098815C2211yescharacteristic
115#19098814C2211yescharacteristic
116#19098813C2211yescharacteristic
117#19098812C2211yescharacteristic, complemented
118#19098811C2211yescharacteristic
119#19098810C2211yescharacteristic
120#19098810C2211yescharacteristic, complemented
121#19098808C2211yescharacteristic
122#19098807C2211yescharacteristic, complemented
123#19098805C2211yescharacteristic, complemented
124#19098803C2211yescharacteristic, complemented
125#19098802C2211yescharacteristic, complemented
126#19098800C2211yescharacteristic
127#19098798C2211yescharacteristic
128#19098797C2211yescharacteristic
129#19098795C2211yescharacteristic
130#19098794C2211yescharacteristic, complemented
131#19098792C2211yescharacteristic
132#19098792C2211yescharacteristic, complemented
133#19098791C2211yescharacteristic, complemented
134#19098790C2211yescharacteristic
135#19098789C2211yescharacteristic
136#19098789C2211yescharacteristic, complemented
137#19098676C2211yescharacteristic, complemented
138#19098675C2211yescharacteristic, complemented
139#19098673C2211yescharacteristic, complemented
140#19098672C2211yescharacteristic, complemented
141#19098671C2211yescharacteristic, complemented
142#19098670C2211yescharacteristic, complemented
143#19098668C2211yescharacteristic, complemented
144#19098667C2211yescharacteristic, complemented
145#19098666C2211yescharacteristic, complemented
146#19098663C2211yescharacteristic, complemented
147#19098662C2211yescharacteristic, complemented
148#19098662C2211yescharacteristic, complemented
149#19098661C2211yescharacteristic, complemented
150#19098660C2211yescharacteristic, complemented
151#19098657C2211yescharacteristic, complemented
152C4×#11929614C2211yescharacteristic, complemented
153#19098655C2211yescharacteristic, complemented
154#19098654C2211yescharacteristic, complemented
155C4×#11929613C2211yescharacteristic, complemented
156C4×#11929613C2211yescharacteristic, complemented
157SD16×Dic79C2211yescharacteristic, complemented
158SD16×Dic79C2211yescharacteristic, complemented
159C4×#11929611C2211yescharacteristic, complemented
160C4×#11929612C2211yescharacteristic, complemented
161#19098648C2211yescharacteristic, complemented
162#19098645C2211yescharacteristic, complemented
163C4×#11929609C2211yescharacteristic, complemented
164#19098643C2211yescharacteristic, complemented
165#19098604C2211yescharacteristic
166#19098604C2211yescharacteristic
167#19098604C2211yescharacteristic
168#19098604C2211yescharacteristic
169#19098570C2211yescharacteristic
170#19098570C2211yescharacteristic
171#19098566C2211yescharacteristic
172#19098566C2211yescharacteristic
173#19098563C2211yescharacteristic
174#19098563C2211yescharacteristic
175#19098561C2211yescharacteristic
176#19098561C2211yescharacteristic
177#19098521C2211yescharacteristic, complemented
178#19098520C2211yescharacteristic, complemented
179#19098520C2211yescharacteristic, complemented
180#19098519C2211yescharacteristic, complemented
181#19098518C2211yescharacteristic, complemented
182#19098517C2211yescharacteristic, complemented
183#19098517C2211yescharacteristic, complemented
184#19098515C2211yescharacteristic
185#19098515C2211yescharacteristic
186C4×#11929607C2211yescharacteristic
187C4×#11929607C2211yescharacteristic
188#542×C79C2211yescharacteristic
189#542×C79C2211yescharacteristic, complemented
190#500×C79C2211yescharacteristic, complemented
191#495×C79C2211yescharacteristic, complemented
192#489×C79C2211yescharacteristic, complemented
193#489×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic
195#468×C79C2211yescharacteristic, complemented
196#467×C79C2211yescharacteristic, complemented
197#466×C79C2211yescharacteristic
198#440×C79C2211yescharacteristic, complemented
199#440×C79C2211yescharacteristic, complemented
200C4×Q16×C79C2211yescharacteristic, complemented
201C4×D8×C79C2211yescharacteristic, complemented
202#405×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929623C2311yescharacteristic
205C2×Q8×D79—21no—
206C2×Q8×D79C2311yescharacteristic
207C2×D4×D79—21no—
208C2×D4×D79C2311yescharacteristic
209C22×C4×D79—21no—
210C22×C4×D79C2311yescharacteristic
211#14579193—24no—
212#14579190—24no—
213#14579188—24no—
214#14579185—24no—
215C2×Dic316C2311yescharacteristic
216C2×#11929614C2311yescharacteristic
217C2×#11929614C2311yescharacteristic
218C2×#11929613C2311yescharacteristic
219C2×#11929613C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929611C2311yescharacteristic
223C2×#11929611C2311yescharacteristic
224C2×D632C2311yescharacteristic
225C2×#11929609C2311yescharacteristic
226C2×#11929609C2311yescharacteristic
227C2×#11929608C2311yescharacteristic
228C2×#11929607—24no—
229C2×#11929607C2311yescharacteristic
230C2×#11929607C2311yescharacteristic
231C2×#11929607C2311yescharacteristic
232C2×#11929607C2311yescharacteristic
233C2×#11929607C2311yescharacteristic
234C2×#11929607C2311yescharacteristic
235M16×D79—24no—
236C22×C79⋊C8C2311yescharacteristic
237C2×C8×D79C2311yescharacteristic
238C2×C8×D79C2311yescharacteristic
239#14579161C2311yescharacteristic
240#14579161C2311yescharacteristic
241#14579160—21no—
242#14579160C2311yescharacteristic
243#14579160C2311yescharacteristic
244#14579159—21no—
245#14579159C2311yescharacteristic
246#14579157C2311yescharacteristic
247#14579156—21no—
248#14579156—21no—
249#14579156—21no—
250#14579156—21no—
251#14579156—21no—
252#14579156—21no—
253#14579155—21no—
254#14579155—21no—
255#14579154—21no—
256#14579154—21no—
257#14579154—21no—
258#14579154—21no—
259#14579154—21no—
260#14579154—21no—
261#14579153—21no—
262#14579152—21no—
263#14579152C2311yescharacteristic
264#14579152C2311yescharacteristic
265#14579151—21no—
266#14579151—21no—
267#14579150—21no—
268#14579150—21no—
269#14579150C2311yescharacteristic
270#14579149—21no—
271#14579149C2311yescharacteristic
272#14579149C2311yescharacteristic
273#14579148—21no—
274#14579148C2311yescharacteristic
275#14579147—21no—
276#14579147—21no—
277#14579147—21no—
278#14579147—21no—
279#14579147—21no—
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579146—21no—
284#14579146—21no—
285#14579146—21no—
286#14579146—21no—
287#14579145—21no—
288#14579145—21no—
289#14579145—21no—
290#14579144—21no—
291#14579144—21no—
292#14579143—21no—
293#14579143—21no—
294#14579143—21no—
295#14579143—21no—
296#14579143—21no—
297#14579143—21no—
298#14579142—21no—
299#14579141—21no—
300#14579141—21no—
301#14579141C2311yescharacteristic
302#14579141C2311yescharacteristic
303#14579140—21no—
304#14579140C2311yescharacteristic
305#14579140C2311yescharacteristic
306#14579139—21no—
307#14579139—21no—
308#14579139—21no—
309#14579139—21no—
310#14579138—21no—
311#14579138—21no—
312#14579138—21no—
313#14579138—21no—
314#14579137—21no—
315#14579137—21no—
316#14579137—21no—
317#14579137C2311yescharacteristic
318#14579137C2311yescharacteristic
319#14579136C2311yescharacteristic
320#14579136C2311yescharacteristic
321#14579135—21no—
322#14579135C2311yescharacteristic
323#14579135C2311yescharacteristic
324#14579134—21no—
325#14579134—21no—
326#14579134—21no—
327#14579134—21no—
328#14579133—21no—
329#14579133—21no—
330#14579132—21no—
331#14579132C2311yescharacteristic
332#14579132C2311yescharacteristic
333#14579131—21no—
334#14579129—21no—
335Q8×Dic79—21no—
336Q8×Dic79C2311yescharacteristic
337Q8×Dic79C2311yescharacteristic
338C4×Dic158—21no—
339C4×Dic158C2311yescharacteristic
340C4×Dic158C2311yescharacteristic
341#14579126—21no—
342#14579126—21no—
343#14579126C2311yescharacteristic
344#14579126C2311yescharacteristic
345C4×D316—21no—
346C4×D316C2311yescharacteristic
347C4×D316C2311yescharacteristic
348D4×Dic79—21no—
349D4×Dic79C2311yescharacteristic
350D4×Dic79C2311yescharacteristic
351#14579123—21no—
352#14579123—21no—
353#14579123C2311yescharacteristic
354#14579123C2311yescharacteristic
355C4×C22⋊D79—21no—
356C4×C22⋊D79—21no—
357(C22⋊D79)⋊C4—21no—
358(C22⋊D79)⋊C4—21no—
359(C22⋊D79)⋊C4—21no—
360(C22⋊D79)⋊C4—21no—
361(C22⋊D79)⋊C4—21no—
362(C22⋊D79)⋊C4—21no—
363#14579120C2311yescharacteristic
364#14579119—21no—
365#14579119D411yescharacteristic
366#14579119D411yescharacteristic
367#14579119C2311yescharacteristic
368#14579119C2311yescharacteristic
369#14579118C2311yescharacteristic
370#14579118C2311yescharacteristic
371#14579117—21no—
372#14579117D411yescharacteristic
373#14579117D411yescharacteristic
374C4⋊C4×D79—21no—
375C4⋊C4×D79—21no—
376C4⋊C4×D79—21no—
377C4⋊C4×D79D411yescharacteristic
378C4⋊C4×D79D411yescharacteristic
379C4⋊C4×D79C2311yescharacteristic
380C4⋊C4×D79C2311yescharacteristic
381C22⋊C4×D79—21no—
382C22⋊C4×D79—21no—
383C22⋊C4×D79—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C22⋊C4×D79D411yescharacteristic
387C22⋊C4×D79D411yescharacteristic
388C2×C4×Dic79—21no—
389C42×D79—21no—
390C42×D79—21no—
391C42×D79C2311yescharacteristic
392C42×D79C2311yescharacteristic
393#14579094C2311yescharacteristic
394#14579094C2311yescharacteristic
395#14579094C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579093C2311yescharacteristic
398#14579093C2311yescharacteristic
399#14579093C2311yescharacteristic
400#14579093C2311yescharacteristic
401#14579092C2311yescharacteristic
402#14579092C2311yescharacteristic
403#14579092C2311yescharacteristic
404#14579092C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579072C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433#14579071C2311yescharacteristic
434#14579071C2311yescharacteristic
435C4×C79⋊C8C2311yescharacteristic
436C4×C79⋊C8C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C8×Dic79C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C2×Q16×C79C2311yescharacteristic
442C2×SD16×C79C2311yescharacteristic
443C2×SD16×C79C2311yescharacteristic
444C2×D8×C79C2311yescharacteristic
445C2×M16×C79C2311yescharacteristic
446C22×C8×C79C2311yescharacteristic
447C4⋊Q8×C79C2311yescharacteristic
448C4⋊Q8×C79C2311yescharacteristic
449#126×C79—21no—
450#126×C79—21no—
451#124×C79—21no—
452#124×C79—21no—
453#124×C79C2311yescharacteristic
454#124×C79C2311yescharacteristic
455#123×C79—21no—
456#123×C79—21no—
457C22⋊Q8×C79—21no—
458C22⋊Q8×C79—21no—
459C22⋊Q8×C79C2311yescharacteristic
460C22⋊Q8×C79C2311yescharacteristic
461#121×C79C2311yescharacteristic
462#121×C79C2311yescharacteristic
463C4×Q8×C79C2311yescharacteristic
464C4×Q8×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467#117×C79C2311yescharacteristic
468#107×C79C2311yescharacteristic
469#107×C79C2311yescharacteristic
470#107×C79C2311yescharacteristic
471#107×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#103×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#97×C79C2311yescharacteristic
481#97×C79C2311yescharacteristic
482C4×C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79C2×D411yescharacteristic
486#11929625—22no—
487#11929625—22no—
488#11929623—22no—
489#11929623—22no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158C2411yescharacteristic
496C2×Dic158C2411yescharacteristic
497Q8×D79—22no—
498Q8×D79—22no—
499Q8×D79—82no—
500C2×D316—21no—
501C2×D316—21no—
502C2×D316—21no—
503C2×D316C2411yescharacteristic
504C2×D316C2411yescharacteristic
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513D4×D79—22no—
514D4×D79—22no—
515D4×D79—82no—
516C22×Dic79—21no—
517C22×Dic79—21no—
518C22×Dic79—21no—
519C22×Dic79C2×D411yescharacteristic
520C2×C4×D79—22no—
521C2×C4×D79—22no—
522C2×C4×D79—21no—
523C2×C4×D79—21no—
524C2×C4×D79—21no—
525C2×C4×D79—21no—
526C2×C4×D79—21no—
527C2×C4×D79—21no—
528C2×C4×D79—21no—
529C2×C4×D79—21no—
530C2×C4×D79—82no—
531C2×C4×D79C2×D411yescharacteristic
532C2×C4×D79C2×D411yescharacteristic
533C2×C4×D79C2×D411yescharacteristic
534C2×C4×D79C2×D411yescharacteristic
535C2×C4×D79C2×D411yescharacteristic
536C2×C4×D79C2×D411yescharacteristic
537C2×C4×D79C2411yescharacteristic
538C2×C4×D79C2411yescharacteristic
539Dic316—22no—
540#11929614—22no—
541#11929614—22no—
542#11929613—22no—
543#11929613—22no—
544#11929612—22no—
545#11929612—22no—
546#11929611—22no—
547#11929611—22no—
548D632—22no—
549#11929609—22no—
550#11929609—22no—
551#11929608—22no—
552#11929607—22no—
553#11929607—22no—
554#11929607—22no—
555#11929607—22no—
556#11929607#4114yes—
557#11929607#4114yes—
558C2×C79⋊C8—22no—
559C2×C79⋊C8C2411yescharacteristic
560C2×C79⋊C8C2411yescharacteristic
561C2×C79⋊C8C2411yescharacteristic
562C2×C79⋊C8C2411yescharacteristic
563C8×D79—22no—
564C8×D79—22no—
565C4⋊Dic79—21no—
566C4⋊Dic79—21no—
567C4⋊Dic79—21no—
568C4⋊Dic79—21no—
569C4⋊Dic79—21no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79C2×D411yescharacteristic
574C4⋊Dic79C2×D411yescharacteristic
575C4⋊Dic79C2411yescharacteristic
576C4⋊Dic79C2411yescharacteristic
577C4⋊Dic79C2411yescharacteristic
578C4⋊Dic79C2411yescharacteristic
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597Dic79⋊C4C2×D411yescharacteristic
598Dic79⋊C4C2×D411yescharacteristic
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79C2×D411yescharacteristic
608C22⋊Dic79C2×D411yescharacteristic
609(C2×D79)⋊C4—21no—
610(C2×D79)⋊C4—21no—
611(C2×D79)⋊C4—21no—
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4C2×D411yescharacteristic
630(C2×D79)⋊C4C2×D411yescharacteristic
631(C2×D79)⋊C4C2×D411yescharacteristic
632(C2×D79)⋊C4C2×D411yescharacteristic
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79C2×D411yescharacteristic
642C4×Dic79C2×D411yescharacteristic
643C4×Dic79C2×D411yescharacteristic
644C4×Dic79C2×D411yescharacteristic
645C4×Dic79C2411yescharacteristic
646C4×Dic79C2411yescharacteristic
647C2×Q8×C79—21no—
648C2×Q8×C79—21no—
649C2×Q8×C79C2411yescharacteristic
650C2×Q8×C79C2411yescharacteristic
651C2×D4×C79—21no—
652C2×D4×C79—21no—
653C2×D4×C79C2411yescharacteristic
654C2×D4×C79C2411yescharacteristic
655C22×C4×C79—21no—
656C22×C4×C79—21no—
657C22×C4×C79C2411yescharacteristic
658Q16×C79—22no—
659SD16×C79—22no—
660SD16×C79—22no—
661D8×C79—22no—
662M16×C79—22no—
663C2×C8×C79—22no—
664C2×C8×C79C2411yescharacteristic
665C2×C8×C79C2411yescharacteristic
666C2×C8×C79C2411yescharacteristic
667C2×C8×C79C2411yescharacteristic
668C4⋊C4×C79—21no—
669C4⋊C4×C79—21no—
670C4⋊C4×C79—21no—
671C4⋊C4×C79—21no—
672C4⋊C4×C79—21no—
673C4⋊C4×C79—21no—
674C4⋊C4×C79C2×D411yescharacteristic
675C4⋊C4×C79C2×D411yescharacteristic
676C4⋊C4×C79C2411yescharacteristic
677C4⋊C4×C79C2411yescharacteristic
678C4⋊C4×C79C2411yescharacteristic
679C4⋊C4×C79C2411yescharacteristic
680C22⋊C4×C79—21no—
681C22⋊C4×C79—21no—
682C22⋊C4×C79—21no—
683C22⋊C4×C79—21no—
684C22⋊C4×C79—21no—
685C22⋊C4×C79—21no—
686C22⋊C4×C79—21no—
687C22⋊C4×C79—21no—
688C22⋊C4×C79—21no—
689C22⋊C4×C79—21no—
690C22⋊C4×C79C2×D411yescharacteristic
691C22⋊C4×C79C2×D411yescharacteristic
692C42×C79—21no—
693C42×C79—21no—
694C42×C79C2411yescharacteristic
695C42×C79C2411yescharacteristic
696C23×C79—21no—
697C23×C79—21no—
698C23×C79C22×D411yescharacteristic
699C22×D79—22no—
700C22×D79—21no—
701C22×D79—21no—
702C22×D79—41no—
703C22×D79—41no—
704C22×D79—42no—
705C22×D79—42no—
706C22×D79—42no—
707C22×D79C22×D411yescharacteristic
708C22×D79C22×D411yescharacteristic
709Q8×C79—21no—
710Q8×C79—21no—
711Q8×C79—21no—
712Q8×C79—21no—
713Q8×C79—81no—
714Q8×C79—81no—
715D4×C79—21no—
716D4×C79—21no—
717D4×C79—21no—
718D4×C79—21no—
719D4×C79—81no—
720D4×C79—81no—
721C2×C4×C79—21no—
722C2×C4×C79—21no—
723C2×C4×C79—21no—
724C2×C4×C79—21no—
725C2×C4×C79—21no—
726C2×C4×C79—21no—
727C2×C4×C79—21no—
728C2×C4×C79—21no—
729C2×C4×C79—81no—
730C2×C4×C79—81no—
731C2×C4×C79C22×D411yescharacteristic
732C2×C4×C79C22×D411yescharacteristic
733C2×C4×C79C22×D411yescharacteristic
734C2×C4×C79C22×D411yescharacteristic
735C2×C4×C79C22×D411yescharacteristic
736C2×C4×C79C2511yescharacteristic
737C22⋊D79—42no—
738C22⋊D79—42no—
739C22⋊D79—81no—
740C22⋊D79—81no—
741C22⋊D79—81no—
742C22⋊D79—81no—
743C22⋊D79—81no—
744C22⋊D79—81no—
745C2×Dic79—22no—
746C2×Dic79—21no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—21no—
751C2×Dic79—21no—
752C2×Dic79—42no—
753C2×Dic79—81no—
754C2×Dic79—81no—
755C2×Dic79C22×D411yescharacteristic
756C2×Dic79C22×D411yescharacteristic
757C2×Dic79C22×D411yescharacteristic
758C2×Dic79C22×D411yescharacteristic
759C2×Dic79C22×D411yescharacteristic
760C2×Dic79C22×D411yescharacteristic
761D316—21no—
762D316—21no—
763D316—21no—
764D316—21no—
765D316—42no—
766D316—81no—
767D316—81no—
768C4×D79—22no—
769C4×D79—21no—
770C4×D79—21no—
771C4×D79—22no—
772C4×D79—41no—
773C4×D79—41no—
774C4×D79—41no—
775C4×D79—41no—
776C4×D79—42no—
777C4×D79—42no—
778C4×D79—42no—
779C4×D79—42no—
780C4×D79—81no—
781C4×D79—81no—
782C4×D79—81no—
783C4×D79—81no—
784C4×D79C2×#4112yes—
785C4×D79C2×#4112yes—
786Dic158—21no—
787Dic158—21no—
788Dic158—21no—
789Dic158—21no—
790Dic158—42no—
791Dic158—81no—
792Dic158—81no—
793Dic158—81no—
794Dic158—81no—
795C8×C79—21no—
796C8×C79—21no—
797C8×C79C2×#4112yes—
798C8×C79C2×#4112yes—
799C79⋊C8—21no—
800C79⋊C8—21no—
801C79⋊C8C2×#4112yes—
802C79⋊C8C2×#4112yes—
803C22×C79—21no—
804C22×C79—21no—
805C22×C79—21no—
806C22×C79—41no—
807C22×C79—41no—
808C22×C79—41no—
809C22×C79—41no—
810C22×C79—41no—
811C22×C79—41no—
812C22×C79C23×D411yescharacteristic
813C2×D79—21no—
814C2×D79—21no—
815C2×D79—21no—
816C2×D79—21no—
817C2×D79—21no—
818C2×D79—41no—
819C2×D79—41no—
820C2×D79—41no—
821C2×D79—41no—
822C2×D79—41no—
823C2×D79—41no—
824C2×D79—82no—
825C2×D79—84no—
826C2×D79#53212yes—
827C4×C79—21no—
828C4×C79—21no—
829C4×C79—21no—
830C4×C79—21no—
831C4×C79—21no—
832C4×C79—41no—
833C4×C79—41no—
834C4×C79—41no—
835C4×C79—41no—
836C4×C79—41no—
837C4×C79—41no—
838C4×C79C22×#4111yescharacteristic
839C4×C79C22×#4111yescharacteristic
840Dic79—21no—
841Dic79—21no—
842Dic79—21no—
843Dic79—21no—
844Dic79—21no—
845Dic79—41no—
846Dic79—41no—
847Dic79—41no—
848Dic79—41no—
849Dic79—41no—
850Dic79—41no—
851Dic79#53212yes—
852#60703—791nomaximal, Sylow
853C2×C79—41no—
854C2×C79—81no—
855C2×C79—81no—
856C2×C79C2×#53211yescharacteristic
857C2×C79#358511yescharacteristic
858C2×C79#358611yescharacteristic
859D79—22no—
860D79—41no—
861D79—81no—
862D79—81no—
863#3455—791no—
864C2×#542—791no—
865#3179—791no—
866#3179—791no—
867#3179—791no—
868#3179—791no—
869#3178—791no—
870#3178—791no—
871#3178—791no—
872#3178—791no—
873#3175—791no—
874#3175—791no—
875#3175—791no—
876#3175D7911yescharacteristic, complemented
877#3173—791no—
878#3173—791no—
879#3173—791no—
880#3173—791no—
881#3165—791no—
882#3153—791no—
883#3141—791no—
884#3140—791no—
885#3056—791no—
886#3056—791no—
887#3055—791no—
888#3055—791no—
889C4×#137—791no—
890C4×#137—791no—
891C4×AGL(1,ℤ/8)—791no—
892C4×AGL(1,ℤ/8)—791no—
893#2873—791no—
894C79#6070311yescharacteristic, complemented, Sylow
895C2×#137—791no—
896C2×#137—791no—
897C2×AGL(1,ℤ/8)—791no—
898C2×AGL(1,ℤ/8)—791no—
899C22×M16—791no—
900C22×M16—791no—
901#542—791no—
902#542—791no—
903#542—791no—
904#542—791no—
905#542—791no—
906#542—791no—
907#542—791no—
908#542—791no—
909#542—791no—
910#542—791no—
911#542—1581no—
912#542—1581no—
913#542—1581no—
914#542—1581no—
915#542C2×D7911yescharacteristic
916#542C2×D7911yescharacteristic, complemented
917#541—791no—
918#541—791no—
919#540—791no—
920#540—791no—
921#539—1581no—
922#539—1581no—
923#538—1581no—
924#538—1581no—
925#533—791no—
926#532—791no—
927C2×C4⋊Q8—791no—
928#529—1581no—
929#529—1581no—
930#529—1581no—
931#529—1581no—
932C2×#126—1581no—
933C2×#124—791no—
934C2×#124—1581no—
935#525—791no—
936#525—791no—
937C2×#123—1581no—
938C2×C22⋊Q8—791no—
939C2×C22⋊Q8—1581no—
940C2×#121—791no—
941C4×#41—791no—
942C4×#41—791no—
943C2×C4×Q8—791no—
944C2×C4×D4—791no—
945C2×#117—791no—
946#501—791no—
947#501—791no—
948#501—791no—
949#501—791no—
950#500—791no—
951#500C2×D7911yescharacteristic, complemented
952#498—791no—
953#498—791no—
954#497—791no—
955#497—791no—
956#496—791no—
957#496—791no—
958#495—791no—
959#495—791no—
960#495—791no—
961#495C2×D7911yescharacteristic, complemented
962#489—791no—
963#489—791no—
964#489—791no—
965#489—791no—
966#489—791no—
967#489—791no—
968#489C2×D7911yescharacteristic, complemented
969#489C2×D7911yescharacteristic, complemented
970#488—791no—
971#488—791no—
972#488—791no—
973#488—791no—
974#487—791no—
975#487—791no—
976#486—791no—
977#486—791no—
978#470—791no—
979#470—791no—
980#470—791no—
981#470—791no—
982#469—791no—
983#469—791no—
984#469—791no—
985#469—791no—
986#468—791no—
987#468—791no—
988#468—791no—
989#468—791no—
990#468—791no—
991#468—791no—
992#468C2×D7911yescharacteristic
993#468C2×D7911yescharacteristic, complemented
994#467—791no—
995#467—791no—
996#467—791no—
997#467C2×D7911yescharacteristic, complemented
998#466—791no—
999#466—791no—
1000#466—791no—
1001#466C2×D7911yescharacteristic
1002#465—791no—
1003#465—791no—
1004#465—791no—
1005#465—791no—
1006#465—791no—
1007#465—791no—
1008#465—791no—
1009#465—791no—
1010#442—791no—
1011#442—791no—
1012#442—791no—
1013#442—791no—
1014#441—791no—
1015#441—791no—
1016#441—791no—
1017#441—791no—
1018#440—791no—
1019#440—791no—
1020#440—791no—
1021#440—791no—
1022#440—791no—
1023#440—791no—
1024#440C2×D7911yescharacteristic, complemented
1025#440C2×D7911yescharacteristic, complemented
1026C4×Q16—791no—
1027C4×Q16—791no—
1028C4×Q16—791no—
1029C4×Q16C2×D7911yescharacteristic, complemented
1030C4×SD16—791no—
1031C4×SD16—791no—
1032C4×SD16—791no—
1033C4×SD16—791no—
1034C4×SD16—791no—
1035C4×SD16—791no—
1036C4×SD16—791no—
1037C4×SD16—791no—
1038C4×D8—791no—
1039C4×D8—791no—
1040C4×D8—791no—
1041C4×D8C2×D7911yescharacteristic, complemented
1042#428—791no—
1043#428—791no—
1044#428—791no—
1045#428—791no—
1046#419—791no—
1047#419—791no—
1048#418—791no—
1049#418—791no—
1050#417—791no—
1051#417—791no—
1052#417—791no—
1053#417—791no—
1054#405—791no—
1055#405—791no—
1056#405—791no—
1057#405—791no—
1058#405—791no—
1059#405—791no—
1060#405—791no—
1061#405C2×D7911yescharacteristic, complemented
1062C4×M16—791no—
1063C4×M16—791no—
1064C4×M16—791no—
1065C4×M16—791no—
1066C2×#41—791no—
1067C2×#41—791no—
1068C22×Q8—791no—
1069C22×Q8—1581no—
1070C22×D4—791no—
1071C22×D4—1581no—
1072C23×C4—791no—
1073C23×C4—1581no—
1074#137—1584no—
1075#137—1584no—
1076AGL(1,ℤ/8)—1584no—
1077AGL(1,ℤ/8)—1584no—
1078C2×Q16—791no—
1079C2×Q16—791no—
1080C2×Q16—791no—
1081C2×Q16C22×D7911yescharacteristic
1082C2×SD16—791no—
1083C2×SD16—791no—
1084C2×SD16—791no—
1085C2×SD16—791no—
1086C2×SD16—791no—
1087C2×SD16—791no—
1088C2×SD16C22×D7911yescharacteristic
1089C2×SD16C22×D7911yescharacteristic
1090C2×D8—791no—
1091C2×D8—791no—
1092C2×D8—791no—
1093C2×D8C22×D7911yescharacteristic
1094C2×M16—791no—
1095C2×M16—791no—
1096C2×M16—791no—
1097C2×M16—791no—
1098C2×M16—791no—
1099C2×M16—791no—
1100C2×M16—791no—
1101C2×M16—1584no—
1102C2×M16—1584no—
1103C2×M16C22×D7911yescharacteristic
1104C22×C8—791no—
1105C22×C8—791no—
1106C22×C8—791no—
1107C22×C8C22×D7911yescharacteristic
1108C4⋊Q8—791no—
1109C4⋊Q8—791no—
1110C4⋊Q8—791no—
1111C4⋊Q8—791no—
1112C4⋊Q8—791no—
1113C4⋊Q8—1581no—
1114C4⋊Q8—1581no—
1115C4⋊Q8C22×D7911yescharacteristic
1116C4⋊Q8C22×D7911yescharacteristic
1117#127—791no—
1118#126—21no—
1119#126—21no—
1120#126—1581no—
1121#126—1581no—
1122#126—1581no—
1123#126—1581no—
1124#126—1581no—
1125#126—1581no—
1126#126—1581no—
1127#126—1581no—
1128#126—1581no—
1129#126—1581no—
1130#126—1581no—
1131#126—1581no—
1132#126—1581no—
1133#126—1581no—
1134#125—791no—
1135#125—791no—
1136#125—1581no—
1137#125—1581no—
1138#125—1581no—
1139#125—1581no—
1140#124—21no—
1141#124—21no—
1142#124—791no—
1143#124—791no—
1144#124—791no—
1145#124—791no—
1146#124—1581no—
1147#124—1581no—
1148#124—1581no—
1149#124—1581no—
1150#124—1581no—
1151#124—1581no—
1152#124—1581no—
1153#124—1581no—
1154#124—1581no—
1155#124—1581no—
1156#124—1581no—
1157#124—1581no—
1158#124C22×D7911yescharacteristic
1159#124C22×D7911yescharacteristic
1160#123—21no—
1161#123—21no—
1162#123—1581no—
1163#123—1581no—
1164#123—1581no—
1165#123—1581no—
1166#123—1581no—
1167#123—1581no—
1168#123—1581no—
1169#123—1581no—
1170#123—1581no—
1171#123—1581no—
1172#123—1581no—
1173#123—1581no—
1174#123—1581no—
1175#123—1581no—
1176#123—1581no—
1177#123—1581no—
1178C22⋊Q8—21no—
1179C22⋊Q8—21no—
1180C22⋊Q8—791no—
1181C22⋊Q8—791no—
1182C22⋊Q8—791no—
1183C22⋊Q8—791no—
1184C22⋊Q8—791no—
1185C22⋊Q8—791no—
1186C22⋊Q8—1581no—
1187C22⋊Q8—1581no—
1188C22⋊Q8—1581no—
1189C22⋊Q8—1581no—
1190C22⋊Q8—1581no—
1191C22⋊Q8—1581no—
1192C22⋊Q8—1581no—
1193C22⋊Q8—1581no—
1194C22⋊Q8—1581no—
1195C22⋊Q8—1581no—
1196C22⋊Q8—1581no—
1197C22⋊Q8—1581no—
1198C22⋊Q8—1581no—
1199C22⋊Q8—1581no—
1200C22⋊Q8C22×D7911yescharacteristic
1201C22⋊Q8C22×D7911yescharacteristic
1202#121—791no—
1203#121—791no—
1204#121—791no—
1205#121—791no—
1206#121—791no—
1207#121—791no—
1208#121—1581no—
1209#121—1581no—
1210#121—1581no—
1211#121—1581no—
1212#121—1581no—
1213#121—1581no—
1214#121—1581no—
1215#121—1581no—
1216#121C22×D7911yescharacteristic
1217#121C22×D7911yescharacteristic
1218#120—1581no—
1219#120—1581no—
1220C4×Q8—791no—
1221C4×Q8—791no—
1222C4×Q8—791no—
1223C4×Q8—791no—
1224C4×Q8—791no—
1225C4×Q8—791no—
1226C4×Q8—1581no—
1227C4×Q8—1581no—
1228C4×Q8—1581no—
1229C4×Q8—1581no—
1230C4×Q8C22×D7911yescharacteristic
1231C4×Q8C22×D7911yescharacteristic
1232C4×D4—791no—
1233C4×D4—791no—
1234C4×D4—791no—
1235C4×D4—791no—
1236C4×D4—791no—
1237C4×D4—791no—
1238C4×D4—1581no—
1239C4×D4—1581no—
1240C4×D4—1581no—
1241C4×D4—1581no—
1242C4×D4—1581no—
1243C4×D4—1581no—
1244C4×D4—1581no—
1245C4×D4—1581no—
1246C4×D4—1581no—
1247C4×D4—1581no—
1248C4×D4—1581no—
1249C4×D4—1581no—
1250C4×D4C22×D7911yescharacteristic
1251C4×D4C22×D7911yescharacteristic
1252#117—791no—
1253#117—791no—
1254#117—791no—
1255#117—791no—
1256#117—791no—
1257#117—791no—
1258#117—791no—
1259#117—791no—
1260#117—791no—
1261#117—1581no—
1262#117—1581no—
1263#117C22×D7911yescharacteristic
1264C2×C4⋊C4—791no—
1265C2×C4⋊C4—791no—
1266C2×C4⋊C4—791no—
1267C2×C4⋊C4—791no—
1268C2×C4⋊C4—1581no—
1269C2×C4⋊C4—1581no—
1270C2×C4⋊C4—1581no—
1271C2×C22⋊C4—791no—
1272C2×C22⋊C4—791no—
1273C2×C22⋊C4—1581no—
1274C2×C22⋊C4—1581no—
1275C2×C22⋊C4—1581no—
1276C2×C22⋊C4—1581no—
1277C2×C22⋊C4—1581no—
1278C2×C42—791no—
1279C2×C42—791no—
1280C2×C42—1581no—
1281C2×C42—1581no—
1282C2×C42—1581no—
1283#107—791no—
1284#107—791no—
1285#107—791no—
1286#107—791no—
1287#107C22×D7911yescharacteristic
1288#107C22×D7911yescharacteristic
1289#107C22×D7911yescharacteristic
1290#107C22×D7911yescharacteristic
1291#106—791no—
1292#106—791no—
1293#106—791no—
1294#106—791no—
1295#106—791no—
1296#106—791no—
1297#106—791no—
1298#106—791no—
1299#103—791no—
1300#103—791no—
1301#103—791no—
1302#103—791no—
1303#103—791no—
1304#103—791no—
1305#103—791no—
1306#103—791no—
1307#103—791no—
1308#103—791no—
1309#103—791no—
1310#103—791no—
1311#103C22×D7911yescharacteristic
1312#103C22×D7911yescharacteristic
1313#103C22×D7911yescharacteristic
1314#103C22×D7911yescharacteristic
1315#102—791no—
1316#102—791no—
1317#102—791no—
1318#102—791no—
1319#102—791no—
1320#102—791no—
1321#102—791no—
1322#102—791no—
1323#102—791no—
1324#102—791no—
1325#102—791no—
1326#102—791no—
1327#102C22×D7911yescharacteristic
1328#102C22×D7911yescharacteristic
1329#102C22×D7911yescharacteristic
1330#102C22×D7911yescharacteristic
1331#97—791no—
1332#97—791no—
1333#97—791no—
1334#97—791no—
1335#97—791no—
1336#97—791no—
1337#97C22×D7911yescharacteristic
1338#97C22×D7911yescharacteristic
1339C4×C8—791no—
1340C4×C8—791no—
1341C4×C8—791no—
1342C4×C8—791no—
1343C4×C8—791no—
1344C4×C8—791no—
1345C4×C8C22×D7911yescharacteristic
1346C4×C8C22×D7911yescharacteristic
1347C24—791no—
1348C24—1581no—
1349#41—1582no—
1350#41—1582no—
1351#41—1582no—
1352#41—1582no—
1353C2×Q8—21no—
1354C2×Q8—21no—
1355C2×Q8—791no—
1356C2×Q8—791no—
1357C2×Q8—6322no—
1358C2×Q8—1581no—
1359C2×Q8—1581no—
1360C2×Q8—1581no—
1361C2×Q8—1582no—
1362C2×Q8—1582no—
1363C2×Q8—1581no—
1364C2×Q8—1581no—
1365C2×Q8C23×D7911yescharacteristic
1366C2×Q8C23×D7911yescharacteristic
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—791no—
1370C2×D4—791no—
1371C2×D4—6322no—
1372C2×D4—1581no—
1373C2×D4—1581no—
1374C2×D4—1581no—
1375C2×D4—1582no—
1376C2×D4—1582no—
1377C2×D4—1581no—
1378C2×D4—1581no—
1379C2×D4—1581no—
1380C2×D4—1581no—
1381C2×D4—1581no—
1382C2×D4—1581no—
1383C2×D4—1581no—
1384C2×D4—1581no—
1385C2×D4C23×D7911yescharacteristic
1386C2×D4C23×D7911yescharacteristic
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—791no—
1390C22×C4—791no—
1391C22×C4—791no—
1392C22×C4—791no—
1393C22×C4—791no—
1394C22×C4—791no—
1395C22×C4—791no—
1396C22×C4—791no—
1397C22×C4—791no—
1398C22×C4—6322no—
1399C22×C4—1581no—
1400C22×C4—1581no—
1401C22×C4—1581no—
1402C22×C4—1581no—
1403C22×C4—1581no—
1404C22×C4—1581no—
1405C22×C4—1582no—
1406C22×C4—1582no—
1407C22×C4—1581no—
1408C22×C4—1581no—
1409C22×C4—1581no—
1410C22×C4—1581no—
1411C22×C4—1581no—
1412C22×C4C23×D7911yescharacteristic
1413Q16—22no—
1414Q16—1582no—
1415Q16—1582no—
1416Q16—1582no—
1417SD16—22no—
1418SD16—22no—
1419SD16—1582no—
1420SD16—1582no—
1421SD16—1582no—
1422SD16—1582no—
1423SD16—1582no—
1424SD16—1582no—
1425D8—22no—
1426D8—1582no—
1427D8—1582no—
1428D8—1582no—
1429M16—22no—
1430M16—794no—
1431M16—794no—
1432M16—1582no—
1433M16—1582no—
1434M16—1582no—
1435M16—1582no—
1436M16—1582no—
1437C2×C8—22no—
1438C2×C8—791no—
1439C2×C8—791no—
1440C2×C8—791no—
1441C2×C8—791no—
1442C2×C8—1582no—
1443C2×C8—1582no—
1444C2×C8—1582no—
1445C2×C8C23×D7911yescharacteristic
1446C2×C8C23×D7911yescharacteristic
1447C2×C8C23×D7911yescharacteristic
1448C2×C8C23×D7911yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—791no—
1456C4⋊C4—791no—
1457C4⋊C4—791no—
1458C4⋊C4—791no—
1459C4⋊C4—791no—
1460C4⋊C4—791no—
1461C4⋊C4—791no—
1462C4⋊C4—791no—
1463C4⋊C4—791no—
1464C4⋊C4—791no—
1465C4⋊C4—1581no—
1466C4⋊C4—1581no—
1467C4⋊C4—1581no—
1468C4⋊C4—1581no—
1469C4⋊C4—1581no—
1470C4⋊C4—1581no—
1471C4⋊C4—1581no—
1472C4⋊C4—1581no—
1473C4⋊C4—1581no—
1474C4⋊C4—1581no—
1475C4⋊C4—1581no—
1476C4⋊C4—1581no—
1477C4⋊C4—1581no—
1478C4⋊C4—1581no—
1479C4⋊C4—1581no—
1480C4⋊C4—1581no—
1481C4⋊C4—1581no—
1482C4⋊C4—1581no—
1483C4⋊C4—1581no—
1484C4⋊C4—1581no—
1485C4⋊C4—1581no—
1486C4⋊C4—1581no—
1487C4⋊C4—1581no—
1488C4⋊C4—1581no—
1489C4⋊C4D4×D7911yescharacteristic
1490C4⋊C4D4×D7911yescharacteristic
1491C4⋊C4C23×D7911yescharacteristic
1492C4⋊C4C23×D7911yescharacteristic
1493C4⋊C4C23×D7911yescharacteristic
1494C4⋊C4C23×D7911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—791no—
1506C22⋊C4—791no—
1507C22⋊C4—791no—
1508C22⋊C4—791no—
1509C22⋊C4—791no—
1510C22⋊C4—791no—
1511C22⋊C4—1581no—
1512C22⋊C4—1581no—
1513C22⋊C4—1581no—
1514C22⋊C4—1581no—
1515C22⋊C4—1581no—
1516C22⋊C4—1581no—
1517C22⋊C4—1581no—
1518C22⋊C4—1581no—
1519C22⋊C4—1581no—
1520C22⋊C4—1581no—
1521C22⋊C4—1581no—
1522C22⋊C4—1581no—
1523C22⋊C4—1581no—
1524C22⋊C4—1581no—
1525C22⋊C4—1581no—
1526C22⋊C4—1581no—
1527C22⋊C4—1581no—
1528C22⋊C4—1581no—
1529C22⋊C4—1581no—
1530C22⋊C4—1581no—
1531C22⋊C4—1581no—
1532C22⋊C4—1581no—
1533C22⋊C4—1581no—
1534C22⋊C4—1581no—
1535C22⋊C4—1581no—
1536C22⋊C4—1581no—
1537C22⋊C4—1581no—
1538C22⋊C4—1581no—
1539C22⋊C4D4×D7911yescharacteristic
1540C22⋊C4D4×D7911yescharacteristic
1541C42—21no—
1542C42—21no—
1543C42—791no—
1544C42—791no—
1545C42—791no—
1546C42—791no—
1547C42—791no—
1548C42—791no—
1549C42—1581no—
1550C42—1581no—
1551C42—1581no—
1552C42—1581no—
1553C42—1581no—
1554C42—1581no—
1555C42—1581no—
1556C42—1581no—
1557C42C23×D7911yescharacteristic
1558C42C23×D7911yescharacteristic
1559C23—21no—
1560C23—21no—
1561C23—3161no—
1562C23—3161no—
1563C23—3162no—
1564C23—3162no—
1565C23—3162no—
1566C23—791no—
1567C23—791no—
1568C23—1582no—
1569C23—1581no—
1570C23—1581no—
1571C23C2×D4×D7911yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—21no—
1575Q8—21no—
1576Q8—81no—
1577Q8—81no—
1578Q8—3162no—
1579Q8—6321no—
1580Q8—6321no—
1581Q8—6321no—
1582Q8—6321no—
1583Q8—1581no—
1584Q8—1581no—
1585Q8—1581no—
1586Q8—1581no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—81no—
1592D4—81no—
1593D4—3162no—
1594D4—3162no—
1595D4—3162no—
1596D4—6321no—
1597D4—6321no—
1598D4—6321no—
1599D4—6321no—
1600D4—6321no—
1601D4—6321no—
1602D4—6321no—
1603D4—6321no—
1604D4—1581no—
1605D4—1581no—
1606D4—1581no—
1607D4—1581no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—3161no—
1619C2×C4—3161no—
1620C2×C4—3161no—
1621C2×C4—3161no—
1622C2×C4—3162no—
1623C2×C4—3162no—
1624C2×C4—3162no—
1625C2×C4—3162no—
1626C2×C4—3162no—
1627C2×C4—791no—
1628C2×C4—792no—
1629C2×C4—792no—
1630C2×C4—791no—
1631C2×C4—791no—
1632C2×C4—791no—
1633C2×C4—791no—
1634C2×C4—791no—
1635C2×C4—6321no—
1636C2×C4—6321no—
1637C2×C4—6321no—
1638C2×C4—6321no—
1639C2×C4—6321no—
1640C2×C4—6321no—
1641C2×C4—1582no—
1642C2×C4—1582no—
1643C2×C4—1581no—
1644C2×C4—1581no—
1645C2×C4—1581no—
1646C2×C4—1581no—
1647C2×C4—1581no—
1648C2×C4—1581no—
1649C2×C4—1582no—
1650C2×C4—1581no—
1651C2×C4—1581no—
1652C2×C4C2×D4×D7911yescharacteristic
1653C2×C4C2×D4×D7911yescharacteristic
1654C2×C4C2×D4×D7911yescharacteristic
1655C2×C4C2×D4×D7911yescharacteristic
1656C2×C4C2×D4×D7911yescharacteristic
1657C2×C4C24×D7911yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—792no—
1661C8—792no—
1662C8—1581no—
1663C8—1581no—
1664C8#41×D7912yes—
1665C8#41×D7912yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—3161no—
1676C22—3161no—
1677C22—3161no—
1678C22—3161no—
1679C22—3161no—
1680C22—3161no—
1681C22—792no—
1682C22—6322no—
1683C22—6324no—
1684C22—1581no—
1685C22—1581no—
1686C22—1581no—
1687C22—1581no—
1688C22—1581no—
1689C22C22×D4×D7911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—3161no—
1702C4—3161no—
1703C4—3161no—
1704C4—3161no—
1705C4—3161no—
1706C4—3161no—
1707C4—792no—
1708C4—1581no—
1709C4—1581no—
1710C4—1581no—
1711C4—1581no—
1712C4—1581no—
1713C4C2×#41×D7911yescharacteristic
1714C4C2×#41×D7911yescharacteristic
1715C2—41no—
1716C2—81no—
1717C2—81no—
1718C2—3161no—
1719C2—6321no—
1720C2—6321no—
1721C2—1582no—
1722C2#532×D7911yescharacteristic
1723C2#2377817511yescharacteristic
1724C2#2377818511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3175C2
socleC22×C79C23×D4
hypercenter#3175D79
hypocenterC79#60703
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3175

Complements

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

NH ≅ G/Ntype
1. #23776787C2semidirect
2. #542×D79C2semidirect
3. #23774087C2semidirect
4. #23774086C2semidirect
5. #23774081C2semidirect
6. #23774076C2semidirect
7. #23774072C2semidirect
8. #23774071C2semidirect
9. #23774066C2semidirect
10. #23774061C2semidirect
11. #23774042C2semidirect
12. #23774038C2semidirect
13. #23774033C2semidirect
14. #23774017C2semidirect
15. #23774016C2semidirect
16. #23774014C2semidirect
17. #23774011C2semidirect
18. #23773943C2semidirect
19. #23773861C2semidirect
20. #23773792C2semidirect
21. #23773785C2semidirect
22. #23773027C2semidirect
23. #23773025C2semidirect
24. #23773016C2semidirect
25. #23773014C2semidirect
26. #23772222C2semidirect
27. C4×#14579193C2semidirect
28. #23772205C2semidirect
29. C4×#14579185C2semidirect
30. #23771816C2semidirect
31. C79×#3175C2semidirect
39. #19099187C22semidirect
43. #19099184C22semidirect
46. #19099182C22semidirect
52. #19099173C22semidirect
53. #19099171C22semidirect
54. #19099166C22semidirect
55. #19099164C22semidirect
81. #19098971C22semidirect
82. #19098971C22semidirect
83. #19098971C22semidirect
84. #19098971C22semidirect
85. #19098966C22semidirect
86. #19098961C22semidirect
87. #19098959C22semidirect
88. #19098956C22semidirect
89. #19098954C22semidirect
90. #19098951C22semidirect
91. #19098949C22semidirect
92. #19098947C22semidirect
93. #19098945C22semidirect
94. #19098945C22semidirect
95. #19098925C22semidirect
96. #19098925C22semidirect
97. #19098923C22semidirect
98. #19098923C22semidirect
99. #19098922C22semidirect
100. #19098922C22semidirect
101. #19098919C22semidirect
102. #19098919C22semidirect
103. #19098916C22semidirect
104. #19098916C22semidirect
105. #19098912C22semidirect
106. #19098912C22semidirect
107. #19098908C22semidirect
108. #19098908C22semidirect
109. #19098821C22semidirect
110. #19098820C22semidirect
111. #19098819C22semidirect
112. #19098818C22semidirect
117. #19098812C22semidirect
120. #19098810C22semidirect
122. #19098807C22semidirect
123. #19098805C22semidirect
124. #19098803C22semidirect
125. #19098802C22semidirect
130. #19098794C22semidirect
132. #19098792C22semidirect
133. #19098791C22semidirect
136. #19098789C22semidirect
137. #19098676C22semidirect
138. #19098675C22semidirect
139. #19098673C22semidirect
140. #19098672C22semidirect
141. #19098671C22semidirect
142. #19098670C22semidirect
143. #19098668C22semidirect
144. #19098667C22semidirect
145. #19098666C22semidirect
146. #19098663C22semidirect
147. #19098662C22semidirect
148. #19098662C22semidirect
149. #19098661C22semidirect
150. #19098660C22semidirect
151. #19098657C22semidirect
152. C4×#11929614C22semidirect
153. #19098655C22semidirect
154. #19098654C22semidirect
155. C4×#11929613C22semidirect
156. C4×#11929613C22semidirect
157. SD16×Dic79C22semidirect
158. SD16×Dic79C22semidirect
159. C4×#11929611C22semidirect
160. C4×#11929612C22semidirect
161. #19098648C22semidirect
162. #19098645C22semidirect
163. C4×#11929609C22semidirect
164. #19098643C22semidirect
177. #19098521C22semidirect
178. #19098520C22semidirect
179. #19098520C22semidirect
180. #19098519C22semidirect
181. #19098518C22semidirect
182. #19098517C22semidirect
183. #19098517C22semidirect
189. #542×C79C22semidirect
190. #500×C79C22semidirect
191. #495×C79C22semidirect
192. #489×C79C22semidirect
193. #489×C79C22semidirect
195. #468×C79C22semidirect
196. #467×C79C22semidirect
198. #440×C79C22semidirect
199. #440×C79C22semidirect
200. C4×Q16×C79C22semidirect
201. C4×D8×C79C22semidirect
202. #405×C79C22semidirect
876. #3175D79semidirect
894. C79#60703semidirect
916. #542C2×D79semidirect
951. #500C2×D79semidirect
961. #495C2×D79semidirect
968. #489C2×D79semidirect
969. #489C2×D79semidirect
993. #468C2×D79semidirect
997. #467C2×D79semidirect
1024. #440C2×D79semidirect
1025. #440C2×D79semidirect
1029. C4×Q16C2×D79semidirect
1041. C4×D8C2×D79semidirect
1061. #405C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237767872
#542×D792
#237740872
#237740862
#237740812
#237740762
#237740722
#237740712
#237740662
#237740612
#237740422
#237740382
#237740332
#237740172
#237740162
#237740142
#237740112
#237739432
#237738612
#237737922
#237737852
#237730272
#237730252
#237730162
#237730142
#237722222
C4×#145791932
#237722052
C4×#145791852
#237718162
C79×#31752
#6070379