Finite Group Databasebeta

← #35158420

Subgroups — #35158420

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#23776784C211yesmaximal, characteristic, complemented
2#542×D79C211yesmaximal, characteristic, complemented
3#23774090C211yesmaximal, characteristic, complemented
4#23774085C211yesmaximal, characteristic, complemented
5#23774080C211yesmaximal, characteristic, complemented
6#23774073C211yesmaximal, characteristic, complemented
7#23774068C211yesmaximal, characteristic, complemented
8#23774067C211yesmaximal, characteristic, complemented
9#23774062C211yesmaximal, characteristic, complemented
10#23774037C211yesmaximal, characteristic, complemented
11#23774035C211yesmaximal, characteristic, complemented
12#23774034C211yesmaximal, characteristic, complemented
13#23774032C211yesmaximal, characteristic, complemented
14#23774015C211yesmaximal, characteristic, complemented
15#23774013C211yesmaximal, characteristic, complemented
16#23774012C211yesmaximal, characteristic, complemented
17#23774010C211yesmaximal, characteristic, complemented
18#23773945C211yesmaximal, characteristic, complemented
19#23773865C211yesmaximal, characteristic, complemented
20#23773790C211yesmaximal, characteristic, complemented
21#23773783C211yesmaximal, characteristic, complemented
22#23773025C211yesmaximal, characteristic, complemented
23#23773023C211yesmaximal, characteristic, complemented
24#23773018C211yesmaximal, characteristic, complemented
25#23773016C211yesmaximal, characteristic, complemented
26#23772222C211yesmaximal, characteristic, complemented
27C4×#14579190C211yesmaximal, characteristic, complemented
28#23772211C211yesmaximal, characteristic, complemented
29C4×#14579185C211yesmaximal, characteristic, complemented
30#23771816C211yesmaximal, characteristic, complemented
31C79×#3179C211yesmaximal, characteristic, complemented
32C2×#14579190C2211yescharacteristic
33C2×#14579190C2211yescharacteristic
34C2×#14579185C2211yescharacteristic
35C2×#14579185C2211yescharacteristic
36C22×#11929607C2211yescharacteristic
37C2×M16×D79C2211yescharacteristic
38#19099187C2211yescharacteristic
39#19099186C2211yescharacteristic
40#19099185C2211yescharacteristic
41#19099184C2211yescharacteristic
42#19099183—21no—
43#19099182C2211yescharacteristic
44#19099181—21no—
45#19099180C2211yescharacteristic
46#19099180C2211yescharacteristic, complemented
47#19099180C2211yescharacteristic, complemented
48#19099179—21no—
49#19099178C2211yescharacteristic
50#19099178C2211yescharacteristic, complemented
51#19099178C2211yescharacteristic, complemented
52#19099177—21no—
53#19099176C2211yescharacteristic, complemented
54#19099175C2211yescharacteristic, complemented
55#19099167C2211yescharacteristic, complemented
56#19099156—21no—
57#19099156—21no—
58#19099145—21no—
59#19099145—21no—
60#19099119C2211yescharacteristic
61#19099111C2211yescharacteristic
62C4⋊Q8×D79C2211yescharacteristic
63#19099094—21no—
64#19099094—21no—
65#19099090—21no—
66#19099090—21no—
67#126×D79—21no—
68#124×D79—21no—
69#124×D79C2211yescharacteristic
70#19099073C2211yescharacteristic
71#19099073C2211yescharacteristic
72#123×D79—21no—
73C22⋊Q8×D79—21no—
74C22⋊Q8×D79C2211yescharacteristic
75#121×D79C2211yescharacteristic
76C4×#11929623C2211yescharacteristic
77C4×#11929623C2211yescharacteristic
78C4×Q8×D79C2211yescharacteristic
79C4×D4×D79C2211yescharacteristic
80#117×D79C2211yescharacteristic
81#19098973C2211yescharacteristic, complemented
82#19098972C2211yescharacteristic, complemented
83#19098969C2211yescharacteristic, complemented
84#19098967C2211yescharacteristic, complemented
85#19098967C2211yescharacteristic, complemented
86#19098960C2211yescharacteristic, complemented
87#19098960C2211yescharacteristic, complemented
88#19098958C2211yescharacteristic, complemented
89#19098957C2211yescharacteristic, complemented
90#19098950C2211yescharacteristic, complemented
91#19098946C2211yescharacteristic, complemented
92#19098946C2211yescharacteristic, complemented
93#19098944C2211yescharacteristic, complemented
94#19098944C2211yescharacteristic, complemented
95#19098924C2211yescharacteristic, complemented
96#19098924C2211yescharacteristic, complemented
97#19098921C2211yescharacteristic, complemented
98#19098921C2211yescharacteristic, complemented
99#19098921C2211yescharacteristic, complemented
100#19098921C2211yescharacteristic, complemented
101#19098921C2211yescharacteristic, complemented
102#19098921C2211yescharacteristic, complemented
103#19098920C2211yescharacteristic, complemented
104#19098918C2211yescharacteristic, complemented
105#19098917C2211yescharacteristic, complemented
106#19098915C2211yescharacteristic, complemented
107#19098914C2211yescharacteristic, complemented
108#19098909C2211yescharacteristic, complemented
109#19098822C2211yescharacteristic, complemented
110#19098821C2211yescharacteristic, complemented
111#19098820C2211yescharacteristic, complemented
112#19098819C2211yescharacteristic, complemented
113#19098815C2211yescharacteristic
114#19098814C2211yescharacteristic
115#19098813C2211yescharacteristic
116#19098810C2211yescharacteristic
117#19098809C2211yescharacteristic
118#19098808C2211yescharacteristic
119#19098808C2211yescharacteristic, complemented
120#19098807C2211yescharacteristic
121#19098807C2211yescharacteristic, complemented
122#19098806C2211yescharacteristic, complemented
123#19098805C2211yescharacteristic, complemented
124#19098804C2211yescharacteristic, complemented
125#19098803C2211yescharacteristic, complemented
126#19098802C2211yescharacteristic, complemented
127#19098798C2211yescharacteristic
128#19098797C2211yescharacteristic
129#19098796C2211yescharacteristic
130#19098793C2211yescharacteristic
131#19098792C2211yescharacteristic
132#19098791C2211yescharacteristic
133#19098791C2211yescharacteristic, complemented
134#19098790C2211yescharacteristic
135#19098790C2211yescharacteristic, complemented
136#19098789C2211yescharacteristic, complemented
137#19098675C2211yescharacteristic, complemented
138#19098673C2211yescharacteristic, complemented
139#19098672C2211yescharacteristic, complemented
140#19098671C2211yescharacteristic, complemented
141#19098669C2211yescharacteristic, complemented
142#19098668C2211yescharacteristic, complemented
143#19098667C2211yescharacteristic, complemented
144#19098665C2211yescharacteristic, complemented
145#19098664C2211yescharacteristic, complemented
146#19098663C2211yescharacteristic, complemented
147#19098663C2211yescharacteristic, complemented
148#19098662C2211yescharacteristic, complemented
149#19098660C2211yescharacteristic, complemented
150#19098660C2211yescharacteristic, complemented
151C4×Dic316C2211yescharacteristic, complemented
152#19098657C2211yescharacteristic, complemented
153C4×#11929614C2211yescharacteristic, complemented
154#19098655C2211yescharacteristic, complemented
155#19098654C2211yescharacteristic, complemented
156#19098654C2211yescharacteristic, complemented
157C4×#11929613C2211yescharacteristic, complemented
158SD16×Dic79C2211yescharacteristic, complemented
159#19098650C2211yescharacteristic, complemented
160C4×#11929612C2211yescharacteristic, complemented
161C4×#11929612C2211yescharacteristic, complemented
162D8×Dic79C2211yescharacteristic, complemented
163C4×#11929609C2211yescharacteristic, complemented
164#19098643C2211yescharacteristic, complemented
165#19098604C2211yescharacteristic
166#19098604C2211yescharacteristic
167#19098602C2211yescharacteristic
168#19098602C2211yescharacteristic
169#19098570C2211yescharacteristic
170#19098570C2211yescharacteristic
171#19098566C2211yescharacteristic
172#19098566C2211yescharacteristic
173#19098561C2211yescharacteristic
174#19098561C2211yescharacteristic
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#540×C79C2211yescharacteristic, complemented
190#501×C79C2211yescharacteristic, complemented
191#496×C79C2211yescharacteristic, complemented
192#488×C79C2211yescharacteristic, complemented
193#486×C79C2211yescharacteristic, complemented
194#469×C79C2211yescharacteristic
195#468×C79C2211yescharacteristic, complemented
196#466×C79C2211yescharacteristic
197#465×C79C2211yescharacteristic, complemented
198#442×C79C2211yescharacteristic, complemented
199#440×C79C2211yescharacteristic, complemented
200C4×SD16×C79C2211yescharacteristic, complemented
201C4×D8×C79C2211yescharacteristic, complemented
202#405×C79C2211yescharacteristic, complemented
203C2×#11929623C2311yescharacteristic
204C2×#11929623C2311yescharacteristic
205C2×Q8×D79—21no—
206C2×Q8×D79C2311yescharacteristic
207C2×D4×D79—21no—
208C2×D4×D79C2311yescharacteristic
209C22×C4×D79—21no—
210C22×C4×D79C2311yescharacteristic
211#14579190—24no—
212#14579190—24no—
213#14579185—24no—
214#14579185—24no—
215C2×Dic316C2311yescharacteristic
216C2×Dic316C2311yescharacteristic
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929613C2311yescharacteristic
220C2×#11929613C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
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#14579160C2311yescharacteristic
245#14579160C2311yescharacteristic
246#14579159—21no—
247#14579156—21no—
248#14579156—21no—
249#14579156—21no—
250#14579156—21no—
251#14579156—21no—
252#14579155—21no—
253#14579154—21no—
254#14579154—21no—
255#14579154—21no—
256#14579154—21no—
257#14579154—21no—
258#14579154—21no—
259#14579154—21no—
260#14579154—21no—
261#14579154—21no—
262#14579153C2311yescharacteristic
263#14579152—21no—
264#14579152—21no—
265#14579151—21no—
266#14579151—21no—
267#14579150—21no—
268#14579150C2311yescharacteristic
269#14579149—21no—
270#14579149C2311yescharacteristic
271#14579148—21no—
272#14579148—21no—
273#14579148—21no—
274#14579148C2311yescharacteristic
275#14579148C2311yescharacteristic
276#14579148C2311yescharacteristic
277#14579147—21no—
278#14579147—21no—
279#14579147—21no—
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579147—21no—
284#14579147—21no—
285#14579146—21no—
286#14579146—21no—
287#14579145—21no—
288#14579144—21no—
289#14579144—21no—
290#14579144—21no—
291#14579143—21no—
292#14579143—21no—
293#14579143—21no—
294#14579143—21no—
295#14579142—21no—
296#14579142—21no—
297#14579142—21no—
298#14579142—21no—
299#14579142—21no—
300#14579141—21no—
301#14579141C2311yescharacteristic
302#14579141C2311yescharacteristic
303#14579141C2311yescharacteristic
304#14579140—21no—
305#14579140—21no—
306#14579140—21no—
307#14579140C2311yescharacteristic
308#14579140C2311yescharacteristic
309#14579140C2311yescharacteristic
310#14579139—21no—
311#14579139—21no—
312#14579139—21no—
313#14579139—21no—
314#14579139—21no—
315#14579138—21no—
316#14579138—21no—
317#14579138—21no—
318#14579138—21no—
319#14579138—21no—
320#14579137—21no—
321#14579137C2311yescharacteristic
322#14579136C2311yescharacteristic
323#14579135C2311yescharacteristic
324#14579134—21no—
325#14579133—21no—
326#14579133—21no—
327#14579133—21no—
328#14579132—21no—
329#14579132—21no—
330#14579132C2311yescharacteristic
331#14579132C2311yescharacteristic
332#14579132C2311yescharacteristic
333#14579129—21no—
334#14579129—21no—
335Q8×Dic79C2311yescharacteristic
336C4×Dic158—21no—
337C4×Dic158C2311yescharacteristic
338C4×Dic158C2311yescharacteristic
339C4×Dic158C2311yescharacteristic
340#14579126—21no—
341#14579126—21no—
342#14579126—21no—
343#14579126C2311yescharacteristic
344#14579126C2311yescharacteristic
345#14579126C2311yescharacteristic
346C4×D316C2311yescharacteristic
347D4×Dic79—21no—
348D4×Dic79—21no—
349D4×Dic79—21no—
350D4×Dic79—21no—
351D4×Dic79C2311yescharacteristic
352D4×Dic79C2311yescharacteristic
353D4×Dic79C2311yescharacteristic
354#14579123C2311yescharacteristic
355C4×C22⋊D79—21no—
356C4×C22⋊D79—21no—
357C4×C22⋊D79—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#14579119D411yescharacteristic
365#14579119D411yescharacteristic
366#14579119C2311yescharacteristic
367#14579119C2311yescharacteristic
368#14579118C2311yescharacteristic
369#14579118C2311yescharacteristic
370#14579117—21no—
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—
389C2×C4×Dic79—21no—
390C42×D79—21no—
391C42×D79C2311yescharacteristic
392C42×D79C2311yescharacteristic
393#14579095C2311yescharacteristic
394#14579095C2311yescharacteristic
395#14579094C2311yescharacteristic
396#14579094C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579093C2311yescharacteristic
400#14579093C2311yescharacteristic
401#14579092C2311yescharacteristic
402#14579092C2311yescharacteristic
403#14579092C2311yescharacteristic
404#14579092C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
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×SD16×C79C2311yescharacteristic
442C2×SD16×C79C2311yescharacteristic
443C2×D8×C79C2311yescharacteristic
444C2×D8×C79C2311yescharacteristic
445C2×M16×C79C2311yescharacteristic
446C22×C8×C79C2311yescharacteristic
447C4⋊Q8×C79C2311yescharacteristic
448#127×C79C2311yescharacteristic
449#126×C79—21no—
450#125×C79C2311yescharacteristic
451#124×C79—21no—
452#124×C79C2311yescharacteristic
453#123×C79—21no—
454#123×C79—21no—
455#123×C79—21no—
456C22⋊Q8×C79—21no—
457C22⋊Q8×C79C2311yescharacteristic
458#121×C79—21no—
459#121×C79—21no—
460#121×C79C2311yescharacteristic
461#121×C79C2311yescharacteristic
462#121×C79C2311yescharacteristic
463C4×Q8×C79C2311yescharacteristic
464C4×D4×C79C2311yescharacteristic
465C4×D4×C79C2311yescharacteristic
466C4×D4×C79C2311yescharacteristic
467#117×C79C2311yescharacteristic
468#107×C79C2311yescharacteristic
469#107×C79C2311yescharacteristic
470#106×C79C2311yescharacteristic
471#106×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×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#11929623—22no—
487#11929623—22no—
488#11929623—22no—
489#11929623—22no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158C2411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×Dic158C2411yescharacteristic
499Q8×D79—22no—
500Q8×D79—22no—
501Q8×D79—82no—
502C2×D316—21no—
503C2×D316C2411yescharacteristic
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511D4×D79—22no—
512D4×D79—22no—
513D4×D79—82no—
514C22×Dic79—21no—
515C22×Dic79—21no—
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—82no—
528C2×C4×D79C2×D411yescharacteristic
529C2×C4×D79C2×D411yescharacteristic
530C2×C4×D79C2×D411yescharacteristic
531C2×C4×D79C2×D411yescharacteristic
532C2×C4×D79C2×D411yescharacteristic
533C2×C4×D79C2×D411yescharacteristic
534C2×C4×D79C2411yescharacteristic
535C2×C4×D79C2411yescharacteristic
536Dic316—22no—
537Dic316—22no—
538#11929614—22no—
539#11929614—22no—
540#11929613—22no—
541#11929613—22no—
542#11929612—22no—
543#11929612—22no—
544#11929612—22no—
545#11929612—22no—
546#11929609—22no—
547#11929609—22no—
548#11929608—22no—
549#11929607—22no—
550#11929607—22no—
551#11929607—22no—
552#11929607—22no—
553#11929607#4114yes—
554#11929607#4114yes—
555C2×C79⋊C8—22no—
556C2×C79⋊C8C2411yescharacteristic
557C2×C79⋊C8C2411yescharacteristic
558C2×C79⋊C8C2411yescharacteristic
559C2×C79⋊C8C2411yescharacteristic
560C8×D79—22no—
561C8×D79—22no—
562C4⋊Dic79—21no—
563C4⋊Dic79—21no—
564C4⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79—21no—
567C4⋊Dic79—21no—
568C4⋊Dic79—21no—
569C4⋊Dic79C2×D411yescharacteristic
570C4⋊Dic79C2×D411yescharacteristic
571C4⋊Dic79C2411yescharacteristic
572C4⋊Dic79C2411yescharacteristic
573C4⋊Dic79C2411yescharacteristic
574C4⋊Dic79C2411yescharacteristic
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
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⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595Dic79⋊C4C2×D411yescharacteristic
596Dic79⋊C4C2×D411yescharacteristic
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
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⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79C2×D411yescharacteristic
613C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
629(C2×D79)⋊C4C2×D411yescharacteristic
630(C2×D79)⋊C4C2×D411yescharacteristic
631(C2×D79)⋊C4C2×D411yescharacteristic
632C4×Dic79—21no—
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×C79C2411yescharacteristic
649C2×D4×C79—21no—
650C2×D4×C79—21no—
651C2×D4×C79—21no—
652C2×D4×C79—21no—
653C2×D4×C79—21no—
654C2×D4×C79C2411yescharacteristic
655C2×D4×C79C2411yescharacteristic
656C2×D4×C79C2411yescharacteristic
657C22×C4×C79—21no—
658C22×C4×C79—21no—
659C22×C4×C79—21no—
660C22×C4×C79C2411yescharacteristic
661SD16×C79—22no—
662SD16×C79—22no—
663D8×C79—22no—
664D8×C79—22no—
665M16×C79—22no—
666C2×C8×C79—22no—
667C2×C8×C79C2411yescharacteristic
668C2×C8×C79C2411yescharacteristic
669C2×C8×C79C2411yescharacteristic
670C2×C8×C79C2411yescharacteristic
671C4⋊C4×C79—21no—
672C4⋊C4×C79—21no—
673C4⋊C4×C79—21no—
674C4⋊C4×C79—21no—
675C4⋊C4×C79—21no—
676C4⋊C4×C79C2×D411yescharacteristic
677C4⋊C4×C79C2×D411yescharacteristic
678C4⋊C4×C79C2411yescharacteristic
679C4⋊C4×C79C2411yescharacteristic
680C4⋊C4×C79C2411yescharacteristic
681C4⋊C4×C79C2411yescharacteristic
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×C79—21no—
691C22⋊C4×C79C2×D411yescharacteristic
692C22⋊C4×C79C2×D411yescharacteristic
693C42×C79—21no—
694C42×C79C2411yescharacteristic
695C42×C79C2411yescharacteristic
696C23×C79—21no—
697C23×C79—21no—
698C23×C79—21no—
699C23×C79C22×D411yescharacteristic
700C22×D79—22no—
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—81no—
712D4×C79—21no—
713D4×C79—21no—
714D4×C79—21no—
715D4×C79—21no—
716D4×C79—21no—
717D4×C79—21no—
718D4×C79—81no—
719D4×C79—81no—
720D4×C79—81no—
721D4×C79—81no—
722D4×C79—81no—
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—21no—
730C2×C4×C79—81no—
731C2×C4×C79—81no—
732C2×C4×C79—81no—
733C2×C4×C79C22×D411yescharacteristic
734C2×C4×C79C22×D411yescharacteristic
735C2×C4×C79C22×D411yescharacteristic
736C2×C4×C79C22×D411yescharacteristic
737C2×C4×C79C22×D411yescharacteristic
738C2×C4×C79C2511yescharacteristic
739C22⋊D79—42no—
740C22⋊D79—42no—
741C22⋊D79—42no—
742C22⋊D79—81no—
743C22⋊D79—81no—
744C22⋊D79—81no—
745C22⋊D79—81no—
746C2×Dic79—22no—
747C2×Dic79—21no—
748C2×Dic79—21no—
749C2×Dic79—21no—
750C2×Dic79—21no—
751C2×Dic79—21no—
752C2×Dic79—21no—
753C2×Dic79—21no—
754C2×Dic79—42no—
755C2×Dic79—42no—
756C2×Dic79—81no—
757C2×Dic79—81no—
758C2×Dic79—81no—
759C2×Dic79C22×D411yescharacteristic
760C2×Dic79C22×D411yescharacteristic
761C2×Dic79C22×D411yescharacteristic
762C2×Dic79C22×D411yescharacteristic
763C2×Dic79C22×D411yescharacteristic
764C2×Dic79C22×D411yescharacteristic
765D316—21no—
766D316—21no—
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—81no—
780C4×D79—81no—
781C4×D79C2×#4112yes—
782C4×D79C2×#4112yes—
783Dic158—21no—
784Dic158—21no—
785Dic158—21no—
786Dic158—21no—
787Dic158—21no—
788Dic158—21no—
789Dic158—42no—
790Dic158—81no—
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×C79—41no—
813C22×C79—41no—
814C22×C79—41no—
815C22×C79C23×D411yescharacteristic
816C2×D79—21no—
817C2×D79—21no—
818C2×D79—21no—
819C2×D79—21no—
820C2×D79—21no—
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×C79C22×#4111yescharacteristic
838C4×C79C22×#4111yescharacteristic
839Dic79—21no—
840Dic79—21no—
841Dic79—21no—
842Dic79—21no—
843Dic79—21no—
844Dic79—41no—
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×C79—81no—
857C2×C79C2×#53211yescharacteristic
858C2×C79#358511yescharacteristic
859C2×C79#358611yescharacteristic
860D79—22no—
861D79—41no—
862D79—81no—
863#3455—791no—
864C2×#542—791no—
865#3179—791no—
866#3179—791no—
867#3179—791no—
868#3179D7911yescharacteristic, complemented
869#3178—791no—
870#3178—791no—
871#3178—791no—
872#3178—791no—
873#3175—791no—
874#3175—791no—
875#3175—791no—
876#3175—791no—
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—791no—
912#542—1581no—
913#542—1581no—
914#542—1581no—
915#542—1581no—
916#542C2×D7911yescharacteristic
917#541—791no—
918#541—791no—
919#540—791no—
920#540C2×D7911yescharacteristic, complemented
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#501C2×D7911yescharacteristic, complemented
950#500—791no—
951#500—791no—
952#498—791no—
953#498—791no—
954#497—791no—
955#497—791no—
956#496—791no—
957#496C2×D7911yescharacteristic, complemented
958#495—791no—
959#495—791no—
960#495—791no—
961#495—791no—
962#489—791no—
963#489—791no—
964#489—791no—
965#489—791no—
966#489—791no—
967#489—791no—
968#489—791no—
969#489—791no—
970#488—791no—
971#488—791no—
972#488—791no—
973#488C2×D7911yescharacteristic, complemented
974#487—791no—
975#487—791no—
976#486—791no—
977#486C2×D7911yescharacteristic, complemented
978#470—791no—
979#470—791no—
980#470—791no—
981#470—791no—
982#469—791no—
983#469—791no—
984#469—791no—
985#469C2×D7911yescharacteristic
986#468—791no—
987#468—791no—
988#468—791no—
989#468—791no—
990#468—791no—
991#468—791no—
992#468—791no—
993#468C2×D7911yescharacteristic, complemented
994#467—791no—
995#467—791no—
996#467—791no—
997#467—791no—
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#465C2×D7911yescharacteristic, complemented
1010#442—791no—
1011#442—791no—
1012#442—791no—
1013#442C2×D7911yescharacteristic, complemented
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#440—791no—
1025#440C2×D7911yescharacteristic, complemented
1026C4×Q16—791no—
1027C4×Q16—791no—
1028C4×Q16—791no—
1029C4×Q16—791no—
1030C4×SD16—791no—
1031C4×SD16—791no—
1032C4×SD16—791no—
1033C4×SD16—791no—
1034C4×SD16—791no—
1035C4×SD16—791no—
1036C4×SD16—791no—
1037C4×SD16C2×D7911yescharacteristic, complemented
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×Q16—791no—
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×D8C22×D7911yescharacteristic
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—791no—
1114C4⋊Q8—1581no—
1115C4⋊Q8—1581no—
1116C4⋊Q8C22×D7911yescharacteristic
1117#127C22×D7911yescharacteristic
1118#126—21no—
1119#126—1581no—
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—1581no—
1136#125—1581no—
1137#125—1581no—
1138#125—1581no—
1139#125C22×D7911yescharacteristic
1140#124—21no—
1141#124—791no—
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#124—1581no—
1159#124C22×D7911yescharacteristic
1160#123—21no—
1161#123—21no—
1162#123—21no—
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—791no—
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⋊Q8—1581no—
1201C22⋊Q8C22×D7911yescharacteristic
1202#121—21no—
1203#121—21no—
1204#121—791no—
1205#121—791no—
1206#121—791no—
1207#121—791no—
1208#121—791no—
1209#121—1581no—
1210#121—1581no—
1211#121—1581no—
1212#121—1581no—
1213#121—1581no—
1214#121—1581no—
1215#121C22×D7911yescharacteristic
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—791no—
1227C4×Q8—1581no—
1228C4×Q8—1581no—
1229C4×Q8—1581no—
1230C4×Q8—1581no—
1231C4×Q8C22×D7911yescharacteristic
1232C4×D4—791no—
1233C4×D4—791no—
1234C4×D4—791no—
1235C4×D4—791no—
1236C4×D4—791no—
1237C4×D4—1581no—
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×D4C22×D7911yescharacteristic
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#107—791no—
1288#107—791no—
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#106C22×D7911yescharacteristic
1298#106C22×D7911yescharacteristic
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#103—791no—
1312#103—791no—
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#102C22×D7911yescharacteristic
1326#102C22×D7911yescharacteristic
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—791no—
1355C2×Q8—791no—
1356C2×Q8—791no—
1357C2×Q8—6322no—
1358C2×Q8—1581no—
1359C2×Q8—1581no—
1360C2×Q8—1581no—
1361C2×Q8—1581no—
1362C2×Q8—1581no—
1363C2×Q8—1582no—
1364C2×Q8—1582no—
1365C2×Q8—1581no—
1366C2×Q8C23×D7911yescharacteristic
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—791no—
1373C2×D4—6322no—
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×D4C23×D7911yescharacteristic
1385C2×D4C23×D7911yescharacteristic
1386C2×D4C23×D7911yescharacteristic
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
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—791no—
1399C22×C4—6322no—
1400C22×C4—1581no—
1401C22×C4—1581no—
1402C22×C4—1581no—
1403C22×C4—1581no—
1404C22×C4—1582no—
1405C22×C4—1582no—
1406C22×C4—1581no—
1407C22×C4—1581no—
1408C22×C4—1581no—
1409C22×C4—1581no—
1410C22×C4—1581no—
1411C22×C4—1581no—
1412C22×C4C23×D7911yescharacteristic
1413Q16—1582no—
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—22no—
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—791no—
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—1581no—
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—791no—
1505C22⋊C4—791no—
1506C22⋊C4—791no—
1507C22⋊C4—791no—
1508C22⋊C4—791no—
1509C22⋊C4—791no—
1510C22⋊C4—1581no—
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—791no—
1543C42—791no—
1544C42—791no—
1545C42—791no—
1546C42—791no—
1547C42—791no—
1548C42—1581no—
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—21no—
1562C23—3161no—
1563C23—3161no—
1564C23—3162no—
1565C23—3162no—
1566C23—3162no—
1567C23—791no—
1568C23—791no—
1569C23—1582no—
1570C23—1581no—
1571C23C2×D4×D7911yescharacteristic
1572Q8—21no—
1573Q8—21no—
1574Q8—81no—
1575Q8—3162no—
1576Q8—6321no—
1577Q8—6321no—
1578Q8—6321no—
1579Q8—6321no—
1580Q8—6321no—
1581Q8—1581no—
1582Q8—1581no—
1583Q8—1581no—
1584Q8—1581no—
1585Q8—1581no—
1586Q8—1581no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—81no—
1594D4—81no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—3162no—
1599D4—3162no—
1600D4—3162no—
1601D4—6321no—
1602D4—6321no—
1603D4—6321no—
1604D4—6321no—
1605D4—6321no—
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—81no—
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—1582no—
1641C2×C4—1582no—
1642C2×C4—1581no—
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—41no—
1676C22—41no—
1677C22—41no—
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—3161no—
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—81no—
1719C2—3161no—
1720C2—6321no—
1721C2—1582no—
1722C2#532×D7911yescharacteristic
1723C2#2377817511yescharacteristic
1724C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3179C2
socleC22×C79C23×D4
hypercenter#3179D79
hypocenterC79#60703
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3179

Complements

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

NH ≅ G/Ntype
1. #23776784C2semidirect
2. #542×D79C2semidirect
3. #23774090C2semidirect
4. #23774085C2semidirect
5. #23774080C2semidirect
6. #23774073C2semidirect
7. #23774068C2semidirect
8. #23774067C2semidirect
9. #23774062C2semidirect
10. #23774037C2semidirect
11. #23774035C2semidirect
12. #23774034C2semidirect
13. #23774032C2semidirect
14. #23774015C2semidirect
15. #23774013C2semidirect
16. #23774012C2semidirect
17. #23774010C2semidirect
18. #23773945C2semidirect
19. #23773865C2semidirect
20. #23773790C2semidirect
21. #23773783C2semidirect
22. #23773025C2semidirect
23. #23773023C2semidirect
24. #23773018C2semidirect
25. #23773016C2semidirect
26. #23772222C2semidirect
27. C4×#14579190C2semidirect
28. #23772211C2semidirect
29. C4×#14579185C2semidirect
30. #23771816C2semidirect
31. C79×#3179C2semidirect
46. #19099180C22semidirect
47. #19099180C22semidirect
50. #19099178C22semidirect
51. #19099178C22semidirect
53. #19099176C22semidirect
54. #19099175C22semidirect
55. #19099167C22semidirect
81. #19098973C22semidirect
82. #19098972C22semidirect
83. #19098969C22semidirect
84. #19098967C22semidirect
85. #19098967C22semidirect
86. #19098960C22semidirect
87. #19098960C22semidirect
88. #19098958C22semidirect
89. #19098957C22semidirect
90. #19098950C22semidirect
91. #19098946C22semidirect
92. #19098946C22semidirect
93. #19098944C22semidirect
94. #19098944C22semidirect
95. #19098924C22semidirect
96. #19098924C22semidirect
97. #19098921C22semidirect
98. #19098921C22semidirect
99. #19098921C22semidirect
100. #19098921C22semidirect
101. #19098921C22semidirect
102. #19098921C22semidirect
103. #19098920C22semidirect
104. #19098918C22semidirect
105. #19098917C22semidirect
106. #19098915C22semidirect
107. #19098914C22semidirect
108. #19098909C22semidirect
109. #19098822C22semidirect
110. #19098821C22semidirect
111. #19098820C22semidirect
112. #19098819C22semidirect
119. #19098808C22semidirect
121. #19098807C22semidirect
122. #19098806C22semidirect
123. #19098805C22semidirect
124. #19098804C22semidirect
125. #19098803C22semidirect
126. #19098802C22semidirect
133. #19098791C22semidirect
135. #19098790C22semidirect
136. #19098789C22semidirect
137. #19098675C22semidirect
138. #19098673C22semidirect
139. #19098672C22semidirect
140. #19098671C22semidirect
141. #19098669C22semidirect
142. #19098668C22semidirect
143. #19098667C22semidirect
144. #19098665C22semidirect
145. #19098664C22semidirect
146. #19098663C22semidirect
147. #19098663C22semidirect
148. #19098662C22semidirect
149. #19098660C22semidirect
150. #19098660C22semidirect
151. C4×Dic316C22semidirect
152. #19098657C22semidirect
153. C4×#11929614C22semidirect
154. #19098655C22semidirect
155. #19098654C22semidirect
156. #19098654C22semidirect
157. C4×#11929613C22semidirect
158. SD16×Dic79C22semidirect
159. #19098650C22semidirect
160. C4×#11929612C22semidirect
161. C4×#11929612C22semidirect
162. D8×Dic79C22semidirect
163. C4×#11929609C22semidirect
164. #19098643C22semidirect
177. #19098521C22semidirect
178. #19098520C22semidirect
179. #19098520C22semidirect
180. #19098519C22semidirect
181. #19098518C22semidirect
182. #19098517C22semidirect
183. #19098517C22semidirect
189. #540×C79C22semidirect
190. #501×C79C22semidirect
191. #496×C79C22semidirect
192. #488×C79C22semidirect
193. #486×C79C22semidirect
195. #468×C79C22semidirect
197. #465×C79C22semidirect
198. #442×C79C22semidirect
199. #440×C79C22semidirect
200. C4×SD16×C79C22semidirect
201. C4×D8×C79C22semidirect
202. #405×C79C22semidirect
868. #3179D79semidirect
894. C79#60703semidirect
920. #540C2×D79semidirect
949. #501C2×D79semidirect
957. #496C2×D79semidirect
973. #488C2×D79semidirect
977. #486C2×D79semidirect
993. #468C2×D79semidirect
1009. #465C2×D79semidirect
1013. #442C2×D79semidirect
1025. #440C2×D79semidirect
1037. C4×SD16C2×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
#237767842
#542×D792
#237740902
#237740852
#237740802
#237740732
#237740682
#237740672
#237740622
#237740372
#237740352
#237740342
#237740322
#237740152
#237740132
#237740122
#237740102
#237739452
#237738652
#237737902
#237737832
#237730252
#237730232
#237730182
#237730162
#237722222
C4×#145791902
#237722112
C4×#145791852
#237718162
C79×#31792
#6070379