Finite Group Databasebeta

← #35181851

Subgroups — #35181851

Order 20224.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777909C211yesmaximal, characteristic
2#23777491C211yesmaximal, characteristic, complemented
3#23776450C211yesmaximal, characteristic, complemented
4#23776448C211yesmaximal, characteristic, complemented
5#23776173C211yesmaximal, characteristic, complemented
6#23776165C211yesmaximal, characteristic, complemented
7#23775438C211yesmaximal, characteristic, complemented
8#23775436C211yesmaximal, characteristic, complemented
9#23775416C211yesmaximal, characteristic, complemented
10#23775414C211yesmaximal, characteristic, complemented
11#23775282C211yesmaximal, characteristic, complemented
12#23775280C211yesmaximal, characteristic, complemented
13SD16×C22⋊D79C211yesmaximal, characteristic, complemented
14#23775089C211yesmaximal, characteristic, complemented
15#23774973C211yesmaximal, characteristic, complemented
16#23774964C211yesmaximal, characteristic, complemented
17#23774911C211yesmaximal, characteristic, complemented
18#23774829C211yesmaximal, characteristic, complemented
19#23774827C211yesmaximal, characteristic, complemented
20#23774713C211yesmaximal, characteristic, complemented
21#23774470C211yesmaximal, characteristic, complemented
22#23774468C211yesmaximal, characteristic, complemented
23#23774398C211yesmaximal, characteristic, complemented
24#23773630C211yesmaximal, characteristic, complemented
25#23773622C211yesmaximal, characteristic, complemented
26#23773520C211yesmaximal, characteristic, complemented
27#23772923C211yesmaximal, characteristic, complemented
28#23772918C211yesmaximal, characteristic, complemented
29#464×D79C211yesmaximal, characteristic, complemented
30#23772535C211yesmaximal, characteristic, complemented
31C79×#3266C211yesmaximal, characteristic, complemented
32C2×#14579192C2211yescharacteristic, complemented
33C2×Q16×D79C2211yescharacteristic, complemented
34C22×#11929611C2211yescharacteristic, complemented
35C2×SD16×D79C2211yescharacteristic
36#19099310—21no—
37#19099306—21no—
38#19099296C2211yescharacteristic
39#19099295C2211yescharacteristic
40#19099292C2211yescharacteristic, complemented
41#19099288—21no—
42#19099288C2211yescharacteristic, complemented
43#19099283—21no—
44#19099283C2211yescharacteristic, complemented
45#19099247—21no—
46#19099247—21no—
47#19099247C2211yescharacteristic, complemented
48#19099247C2211yescharacteristic, complemented
49Q8×C22⋊D79C2211yescharacteristic, complemented
50Q8×C22⋊D79C2211yescharacteristic, complemented
51#19099223C2211yescharacteristic
52#19099220C2211yescharacteristic
53#19099210—21no—
54#19099209C2211yescharacteristic
55#19099203—21no—
56#19099197C2211yescharacteristic
57D4×C22⋊D79C2211yescharacteristic
58#19099186C2211yescharacteristic
59#19099180C2211yescharacteristic
60#19099173—21no—
61#19099173—21no—
62#19099173C2211yescharacteristic, complemented
63#19099173C2211yescharacteristic, complemented
64#19099151—21no—
65#19099149—21no—
66#19099145—21no—
67#19099130C2211yescharacteristic
68#19099127C2211yescharacteristic
69#19099123—21no—
70#19099118—21no—
71#19099118C2211yescharacteristic, complemented
72#19099110C2211yescharacteristic
73#19099095—21no—
74#19099095C2211yescharacteristic
75#124×D79C2211yescharacteristic
76#19099041C2211yescharacteristic, complemented
77#19099041C2211yescharacteristic, complemented
78C4×Q8×D79C2211yescharacteristic, complemented
79#19098956C2211yescharacteristic, complemented
80#19098955C2211yescharacteristic, complemented
81#19098954C2211yescharacteristic, complemented
82#19098934C2211yescharacteristic
83#19098934C2211yescharacteristic
84#19098926C2211yescharacteristic
85#19098926C2211yescharacteristic
86#19098923C2211yescharacteristic, complemented
87#19098922C2211yescharacteristic, complemented
88#19098919C2211yescharacteristic, complemented
89#19098916C2211yescharacteristic, complemented
90#19098905C2211yescharacteristic, complemented
91#19098901C2211yescharacteristic, complemented
92#19098888C2211yescharacteristic
93#19098884C2211yescharacteristic
94#19098878C2211yescharacteristic, complemented
95#19098875C2211yescharacteristic, complemented
96#19098869C2211yescharacteristic, complemented
97#19098868C2211yescharacteristic, complemented
98#19098866C2211yescharacteristic, complemented
99#19098865C2211yescharacteristic, complemented
100#19098857C2211yescharacteristic, complemented
101#19098856C2211yescharacteristic, complemented
102#19098854C2211yescharacteristic, complemented
103#19098853C2211yescharacteristic, complemented
104#19098846C2211yescharacteristic, complemented
105#19098846C2211yescharacteristic, complemented
106#19098821C2211yescharacteristic, complemented
107#19098819C2211yescharacteristic, complemented
108#19098811C2211yescharacteristic
109#19098802C2211yescharacteristic, complemented
110#19098795C2211yescharacteristic, complemented
111#19098795C2211yescharacteristic, complemented
112#19098792C2211yescharacteristic
113#19098790C2211yescharacteristic
114#19098789C2211yescharacteristic, complemented
115#19098789C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098787C2211yescharacteristic, complemented
118#19098787C2211yescharacteristic, complemented
119#19098787C2211yescharacteristic, complemented
120#19098787C2211yescharacteristic, complemented
121#19098787C2211yescharacteristic, complemented
122#19098786C2211yescharacteristic, complemented
123#19098785C2211yescharacteristic, complemented
124#19098784C2211yescharacteristic, complemented
125#19098783C2211yescharacteristic, complemented
126#19098783C2211yescharacteristic, complemented
127#19098783C2211yescharacteristic, complemented
128#19098783C2211yescharacteristic, complemented
129#19098783C2211yescharacteristic, complemented
130#19098782C2211yescharacteristic, complemented
131#19098772C2211yescharacteristic, complemented
132#19098771C2211yescharacteristic, complemented
133#19098767C2211yescharacteristic, complemented
134#19098766C2211yescharacteristic, complemented
135#19098765C2211yescharacteristic, complemented
136#19098762C2211yescharacteristic, complemented
137#19098761C2211yescharacteristic
138#19098761C2211yescharacteristic
139#19098761C2211yescharacteristic
140#19098761C2211yescharacteristic
141#19098761C2211yescharacteristic, complemented
142#19098761C2211yescharacteristic, complemented
143#19098761C2211yescharacteristic, complemented
144#19098727C2211yescharacteristic, complemented
145#19098725C2211yescharacteristic, complemented
146#19098723C2211yescharacteristic, complemented
147#19098719C2211yescharacteristic, complemented
148#19098717C2211yescharacteristic, complemented
149#19098717C2211yescharacteristic, complemented
150#19098716C2211yescharacteristic, complemented
151#19098714C2211yescharacteristic, complemented
152#19098713C2211yescharacteristic, complemented
153#19098712C2211yescharacteristic
154#19098712C2211yescharacteristic
155#19098703C2211yescharacteristic, complemented
156#19098702C2211yescharacteristic
157#19098700C2211yescharacteristic, complemented
158#19098692C2211yescharacteristic, complemented
159#19098691C2211yescharacteristic, complemented
160#19098670C2211yescharacteristic, complemented
161#19098667C2211yescharacteristic, complemented
162#19098666C2211yescharacteristic, complemented
163#19098665C2211yescharacteristic, complemented
164#19098664C2211yescharacteristic, complemented
165#19098663C2211yescharacteristic, complemented
166#19098661C2211yescharacteristic, complemented
167Q16×Dic79C2211yescharacteristic, complemented
168#19098655C2211yescharacteristic, complemented
169SD16×Dic79C2211yescharacteristic, complemented
170#19098648C2211yescharacteristic, complemented
171#19098637C2211yescharacteristic, complemented
172#19098635C2211yescharacteristic, complemented
173#19098632C2211yescharacteristic, complemented
174C8×C22⋊D79C2211yescharacteristic, complemented
175(C22⋊D79)⋊C8C2211yescharacteristic, complemented
176#19098621C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098618C2211yescharacteristic, complemented
179#19098591C2211yescharacteristic, complemented
180#19098589C2211yescharacteristic, complemented
181C4⋊C8×D79C2211yescharacteristic, complemented
182#19098569C2211yescharacteristic, complemented
183#19098568C2211yescharacteristic, complemented
184#19098560C2211yescharacteristic, complemented
185#19098559C2211yescharacteristic, complemented
186#103×D79C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic
188C2×#137×C79C2211yescharacteristic, complemented
189C22×SD16×C79C2211yescharacteristic, complemented
190D4×Q8×C79C2211yescharacteristic, complemented
191#546×C79C2211yescharacteristic
192#497×C79C2211yescharacteristic, complemented
193#468×C79C2211yescharacteristic
194#467×C79C2211yescharacteristic, complemented
195#464×C79C2211yescharacteristic, complemented
196#461×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#451×C79C2211yescharacteristic, complemented
199#450×C79C2211yescharacteristic, complemented
200#448×C79C2211yescharacteristic
201#440×C79C2211yescharacteristic, complemented
202#435×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929624C2311yescharacteristic
205C2×Q8×D79C2311yescharacteristic
206C2×Q8×D79C2311yescharacteristic
207C22×D316C2311yescharacteristic
208C22×C22⋊D79—21no—
209C2×D4×D79—21no—
210C2×D4×D79C2311yescharacteristic
211#14579192—42no—
212C2×Dic316C2311yescharacteristic
213C2×#11929614C2311yescharacteristic
214C2×#11929614C2311yescharacteristic
215C2×#11929614C2311yescharacteristic
216C2×#11929614C2311yescharacteristic
217Q16×D79—42no—
218C2×#11929613C2311yescharacteristic
219C2×#11929613C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929611—42no—
223C2×#11929611C2311yescharacteristic
224C2×#11929611C2311yescharacteristic
225C2×#11929611C2311yescharacteristic
226C2×#11929611C2311yescharacteristic
227C2×#11929611C2311yescharacteristic
228C2×#11929611C2311yescharacteristic
229SD16×D79—42no—
230C2×#11929608C2311yescharacteristic
231C22×C79⋊C8C2311yescharacteristic
232C2×C8×D79C2311yescharacteristic
233C2×C8×D79C2311yescharacteristic
234#14579161—21no—
235#14579161C2311yescharacteristic
236#14579160C2311yescharacteristic
237#14579159—21no—
238#14579159—21no—
239#14579159C2311yescharacteristic
240#14579159C2311yescharacteristic
241#14579157C2311yescharacteristic
242#14579157C2311yescharacteristic
243#14579157C2311yescharacteristic
244#14579156—21no—
245#14579154—21no—
246#14579154—21no—
247#14579154—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579154—21no—
252#14579154—21no—
253#14579154—21no—
254#14579154D411yescharacteristic
255#14579154D411yescharacteristic
256#14579152—21no—
257#14579152—21no—
258#14579152—21no—
259#14579152—21no—
260#14579152—21no—
261#14579152—21no—
262#14579152D411yescharacteristic
263#14579152C2311yescharacteristic
264#14579152C2311yescharacteristic
265#14579151—21no—
266#14579151—21no—
267#14579151—21no—
268#14579151—21no—
269#14579151—21no—
270#14579151—21no—
271#14579150C2311yescharacteristic
272#14579150C2311yescharacteristic
273#14579149C2311yescharacteristic
274#14579148—21no—
275#14579148—21no—
276#14579148—21no—
277#14579148D411yescharacteristic
278#14579148C2311yescharacteristic
279#14579148C2311yescharacteristic
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579147—21no—
284#14579147—21no—
285#14579147—21no—
286#14579147—21no—
287#14579146—21no—
288#14579145—21no—
289#14579144—21no—
290#14579143—21no—
291#14579143—21no—
292#14579143—21no—
293#14579143—21no—
294#14579143—21no—
295#14579143D411yescharacteristic
296#14579143D411yescharacteristic
297#14579142—21no—
298#14579141—21no—
299#14579141—21no—
300#14579141D411yescharacteristic
301#14579140—21no—
302#14579140—21no—
303#14579140—21no—
304#14579140C2311yescharacteristic
305#14579140C2311yescharacteristic
306#14579140C2311yescharacteristic
307#14579139—21no—
308#14579138—21no—
309#14579137—21no—
310#14579137—21no—
311#14579137C2311yescharacteristic
312#14579137C2311yescharacteristic
313#14579136C2311yescharacteristic
314#14579135—21no—
315#14579135—21no—
316#14579135C2311yescharacteristic
317#14579134—21no—
318#14579134—21no—
319#14579134—21no—
320#14579134—21no—
321#14579133—21no—
322#14579132—21no—
323#14579132—21no—
324#14579132—21no—
325#14579132D411yescharacteristic
326#14579132C2311yescharacteristic
327#14579131—21no—
328#14579130—21no—
329#14579130—21no—
330#14579130—21no—
331#14579129—21no—
332#14579129—21no—
333#14579129—21no—
334#14579129—21no—
335#14579129—21no—
336Q8×Dic79—21no—
337Q8×Dic79—21no—
338Q8×Dic79—21no—
339Q8×Dic79—21no—
340Q8×Dic79C2311yescharacteristic
341Q8×Dic79C2311yescharacteristic
342Q8×Dic79C2311yescharacteristic
343Q8×Dic79C2311yescharacteristic
344Q8×Dic79C2311yescharacteristic
345Q8×Dic79C2311yescharacteristic
346Q8×Dic79C2311yescharacteristic
347Q8×Dic79C2311yescharacteristic
348C4×Dic158—21no—
349C4×Dic158—21no—
350C4×Dic158C2311yescharacteristic
351C4×Dic158C2311yescharacteristic
352#14579126—21no—
353#14579126—21no—
354#14579126—21no—
355#14579126—21no—
356#14579126C2311yescharacteristic
357#14579126C2311yescharacteristic
358C4×D316C2311yescharacteristic
359D4×Dic79C2311yescharacteristic
360#14579123—21no—
361#14579123C2311yescharacteristic
362C4×C22⋊D79—21no—
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79C2311yescharacteristic
368C4×C22⋊D79C2311yescharacteristic
369(C22⋊D79)⋊C4—21no—
370#14579120—21no—
371#14579120—21no—
372#14579120—21no—
373#14579120—21no—
374#14579120C2311yescharacteristic
375#14579120C2311yescharacteristic
376#14579120C2311yescharacteristic
377#14579120C2311yescharacteristic
378#14579119—21no—
379#14579119—21no—
380#14579119—21no—
381C4⋊C4×D79—21no—
382C4⋊C4×D79C2311yescharacteristic
383C22⋊C4×D79—21no—
384C22⋊C4×D79—21no—
385C22⋊C4×D79—21no—
386C42×D79—21no—
387C42×D79C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579093C2311yescharacteristic
392#14579093C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579085C2311yescharacteristic
410#14579085C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579083C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434#14579072C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C2×#41×C79C2311yescharacteristic
440C22×Q8×C79C2311yescharacteristic
441C22×Q8×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443#137×C79—42no—
444C2×Q16×C79C2311yescharacteristic
445C2×Q16×C79C2311yescharacteristic
446C2×Q16×C79C2311yescharacteristic
447C2×SD16×C79—42no—
448C2×SD16×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic
450C2×SD16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×SD16×C79C2311yescharacteristic
453C2×SD16×C79C2311yescharacteristic
454C2×M16×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456C4⋊Q8×C79—21no—
457C4⋊Q8×C79C2311yescharacteristic
458#124×C79C2311yescharacteristic
459#123×C79—21no—
460C22⋊Q8×C79—21no—
461C22⋊Q8×C79—21no—
462C22⋊Q8×C79C2311yescharacteristic
463C22⋊Q8×C79C2311yescharacteristic
464C22⋊Q8×C79C2311yescharacteristic
465#121×C79—21no—
466#121×C79C2311yescharacteristic
467#120×C79—21no—
468C4×Q8×C79C2311yescharacteristic
469C4×D4×C79—21no—
470C4×D4×C79C2311yescharacteristic
471C4×D4×C79C2311yescharacteristic
472C2×C22⋊C4×C79—21no—
473#107×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485C23×D79—21no—
486#11929624—41no—
487#11929624—41no—
488#11929624—82no—
489C2×Dic158—21no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158C2×D411yescharacteristic
494C2×Dic158C2411yescharacteristic
495C2×Dic158C2411yescharacteristic
496Q8×D79—22no—
497Q8×D79—41no—
498Q8×D79—41no—
499Q8×D79—41no—
500C2×D316—21no—
501C2×D316—21no—
502C2×D316—41no—
503C2×D316—41no—
504C2×D316C2411yescharacteristic
505C2×D316C2411yescharacteristic
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—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—82no—
517C2×C22⋊D79C2×D411yescharacteristic
518C2×C22⋊D79C2×D411yescharacteristic
519D4×D79—41no—
520D4×D79—41no—
521D4×D79—82no—
522C22×Dic79—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×D79C2×D411yescharacteristic
530C2×C4×D79C2×D411yescharacteristic
531C2×C4×D79C2411yescharacteristic
532Dic316—41no—
533#11929614—22no—
534#11929614—41no—
535#11929614—41no—
536#11929614—41no—
537#11929613—41no—
538#11929613—41no—
539#11929612—41no—
540#11929612—41no—
541#11929611—22no—
542#11929611—22no—
543#11929611—41no—
544#11929611—41no—
545#11929611—41no—
546#11929611—41no—
547#11929608—41no—
548C2×C79⋊C8—41no—
549C2×C79⋊C8C2411yescharacteristic
550C2×C79⋊C8C2411yescharacteristic
551C2×C79⋊C8C2411yescharacteristic
552C2×C79⋊C8C2411yescharacteristic
553C8×D79—41no—
554C8×D79—41no—
555C4⋊Dic79—21no—
556C4⋊Dic79—21no—
557C4⋊Dic79—21no—
558C4⋊Dic79—21no—
559C4⋊Dic79—21no—
560C4⋊Dic79—21no—
561C4⋊Dic79—21no—
562C4⋊Dic79—21no—
563C4⋊Dic79—21no—
564C4⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79C2×D411yescharacteristic
567C4⋊Dic79C2×D411yescharacteristic
568C4⋊Dic79C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594Dic79⋊C4C2×D411yescharacteristic
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
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⋊Dic79C2×D411yescharacteristic
607C22⋊Dic79C2×D411yescharacteristic
608C22⋊Dic79C2×D411yescharacteristic
609C22⋊Dic79C2×D411yescharacteristic
610C22⋊Dic79C2×D411yescharacteristic
611C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
625(C2×D79)⋊C4C2×D411yescharacteristic
626C4×Dic79—21no—
627C4×Dic79—21no—
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79—21no—
637C4×Dic79—21no—
638C4×Dic79—21no—
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2×D411yescharacteristic
641C4×Dic79C2411yescharacteristic
642C4×Dic79C2411yescharacteristic
643C4×Dic79C2411yescharacteristic
644C24×C79—21no—
645#41×C79—41no—
646#41×C79—41no—
647C2×Q8×C79—21no—
648C2×Q8×C79—21no—
649C2×Q8×C79—22no—
650C2×Q8×C79—22no—
651C2×Q8×C79—41no—
652C2×Q8×C79—41no—
653C2×Q8×C79C2411yescharacteristic
654C2×Q8×C79C2411yescharacteristic
655C2×Q8×C79C2411yescharacteristic
656C2×Q8×C79C2411yescharacteristic
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—21no—
660C2×D4×C79—41no—
661C2×D4×C79—41no—
662C2×D4×C79C2×D411yescharacteristic
663C2×D4×C79C2411yescharacteristic
664C2×D4×C79C2411yescharacteristic
665C22×C4×C79—21no—
666C22×C4×C79—21no—
667C22×C4×C79—21no—
668C22×C4×C79—21no—
669C22×C4×C79C2411yescharacteristic
670C22×C4×C79C2411yescharacteristic
671Q16×C79—22no—
672Q16×C79—41no—
673Q16×C79—41no—
674SD16×C79—22no—
675SD16×C79—22no—
676SD16×C79—41no—
677SD16×C79—41no—
678SD16×C79—41no—
679SD16×C79—41no—
680M16×C79—41no—
681C2×C8×C79—41no—
682C2×C8×C79C2411yescharacteristic
683C2×C8×C79C2411yescharacteristic
684C2×C8×C79C2411yescharacteristic
685C2×C8×C79C2411yescharacteristic
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79—21no—
692C4⋊C4×C79C2×D411yescharacteristic
693C4⋊C4×C79C2411yescharacteristic
694C4⋊C4×C79C2411yescharacteristic
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79—21no—
701C22⋊C4×C79—21no—
702C22⋊C4×C79C2×D411yescharacteristic
703C22⋊C4×C79C2×D411yescharacteristic
704C42×C79—21no—
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—81no—
709C23×C79—81no—
710C23×C79—81no—
711C23×C79C22×D411yescharacteristic
712C23×C79C22×D411yescharacteristic
713C22×D79—21no—
714C22×D79—21no—
715C22×D79—42no—
716C22×D79—81no—
717C22×D79—81no—
718C22×D79—81no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79C22×D411yescharacteristic
722Q8×C79—21no—
723Q8×C79—21no—
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—21no—
727Q8×C79—21no—
728Q8×C79—21no—
729Q8×C79—42no—
730Q8×C79—42no—
731Q8×C79H(5,𝔽2)12yes—
732D4×C79—21no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—21no—
736D4×C79—41no—
737D4×C79—81no—
738D4×C79—81no—
739D4×C79—81no—
740C2×C4×C79—21no—
741C2×C4×C79—21no—
742C2×C4×C79—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—21no—
746C2×C4×C79—21no—
747C2×C4×C79—21no—
748C2×C4×C79—21no—
749C2×C4×C79—21no—
750C2×C4×C79—42no—
751C2×C4×C79—42no—
752C2×C4×C79—81no—
753C2×C4×C79—81no—
754C2×C4×C79C22×D411yescharacteristic
755C2×C4×C79C22×D411yescharacteristic
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C2511yescharacteristic
759C22⋊D79—22no—
760C22⋊D79—22no—
761C22⋊D79—42no—
762C22⋊D79—81no—
763C22⋊D79—81no—
764C22⋊D79—81no—
765C22⋊D79—81no—
766C22⋊D79—81no—
767C22⋊D79—81no—
768C22⋊D79—81no—
769C22⋊D79—81no—
770C22⋊D79—81no—
771C2×Dic79—21no—
772C2×Dic79—21no—
773C2×Dic79—21no—
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—81no—
778C2×Dic79C22×D411yescharacteristic
779C2×Dic79C22×D411yescharacteristic
780C2×Dic79C22×D411yescharacteristic
781C2×Dic79C22×D411yescharacteristic
782C2×Dic79C22×D411yescharacteristic
783C2×Dic79C22×D411yescharacteristic
784C2×Dic79C22×D411yescharacteristic
785D316—21no—
786D316—21no—
787D316—21no—
788D316—21no—
789D316—42no—
790D316—81no—
791C4×D79—22no—
792C4×D79—21no—
793C4×D79—21no—
794C4×D79—41no—
795C4×D79—42no—
796C4×D79—42no—
797C4×D79—81no—
798C4×D79—81no—
799C4×D79—81no—
800C4×D79—81no—
801Dic158—21no—
802Dic158—21no—
803Dic158—21no—
804Dic158—21no—
805Dic158—41no—
806Dic158—42no—
807Dic158—42no—
808Dic158—81no—
809Dic158—81no—
810C8×C79—21no—
811C8×C79—21no—
812C8×C79—21no—
813C8×C79—21no—
814C79⋊C8—21no—
815C79⋊C8—21no—
816C79⋊C8—21no—
817C79⋊C8—21no—
818C22×C79—21no—
819C22×C79—21no—
820C22×C79—21no—
821C22×C79—21no—
822C22×C79—21no—
823C22×C79—21no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—162no—
831C22×C79C23×D411yescharacteristic
832C2×D79—21no—
833C2×D79—21no—
834C2×D79—41no—
835C2×D79—41no—
836C2×D79—41no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—162no—
841C2×D79—162no—
842C2×D79#57712yes—
843C4×C79—21no—
844C4×C79—21no—
845C4×C79—21no—
846C4×C79—22no—
847C4×C79—21no—
848C4×C79—41no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79—41no—
853C4×C79C2×H(5,𝔽2)11yescharacteristic
854C4×C79#58511yescharacteristic
855Dic79—21no—
856Dic79—21no—
857Dic79—21no—
858Dic79—21no—
859Dic79—21no—
860Dic79—21no—
861Dic79—21no—
862Dic79—41no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867Dic79—41no—
868#62019—791nomaximal, Sylow
869C2×C79—41no—
870C2×C79—41no—
871C2×C79—81no—
872C2×C79—81no—
873C2×C79#348811yescharacteristic
874C2×C79C2×#57711yescharacteristic
875C2×C79#358611yescharacteristic
876D79—22no—
877D79—81no—
878D79—81no—
879#3558—791no—
880#3523—791no—
881#3400—791no—
882#3400—791no—
883#3371—791no—
884#3371—791no—
885#3311—791no—
886#3311—791no—
887#3310—791no—
888#3310—791no—
889#3300—791no—
890#3300—791no—
891D4×SD16—791no—
892D4×SD16—791no—
893#3270—791no—
894#3270—791no—
895#3266—791no—
896#3266D7911yescharacteristic, complemented
897#3258—791no—
898#3258—791no—
899#3246—791no—
900#3222—791no—
901#3222—791no—
902#3215—791no—
903#3121—791no—
904#3121—791no—
905#3112—791no—
906#3043—791no—
907#3043—791no—
908C2×#464—791no—
909#2992—791no—
910C79#6201911yescharacteristic, complemented, Sylow
911C2×#137—791no—
912C2×#137C2×D7911yescharacteristic, complemented
913C22×Q16—791no—
914C22×SD16—791no—
915C22×SD16—791no—
916C22×SD16C2×D7911yescharacteristic, complemented
917#562—1581no—
918H(3,𝔽4)—1581no—
919#559—791no—
920#559—791no—
921#557—791no—
922#557—791no—
923#557—1581no—
924#556—791no—
925#556—1581no—
926#552—791no—
927#552—791no—
928#552—1581no—
929#552—1581no—
930D4×Q8—791no—
931D4×Q8—791no—
932D4×Q8C2×D7911yescharacteristic, complemented
933#548—791no—
934#548—791no—
935#546—791no—
936#546—1581no—
937#546—1581no—
938#546C2×D7911yescharacteristic
939D42—791no—
940D42—791no—
941#542—791no—
942#542—791no—
943#541—791no—
944#541—791no—
945#541—1581no—
946#541—1581no—
947#538—1581no—
948#538—1581no—
949#538—1581no—
950#535—791no—
951#535—791no—
952#534—1581no—
953#533—791no—
954#533—1581no—
955#532—791no—
956#529—791no—
957#529—1581no—
958C2×#124—791no—
959#519—791no—
960#519—791no—
961C2×C4×Q8—791no—
962#497—791no—
963#497—791no—
964#497—791no—
965#497C2×D7911yescharacteristic, complemented
966#492—791no—
967#492—791no—
968#490—791no—
969#490—791no—
970#489—791no—
971#489—791no—
972#488—791no—
973#488—791no—
974#485—791no—
975#485—791no—
976#482—791no—
977#482—791no—
978#480—791no—
979#480—791no—
980#479—791no—
981#479—791no—
982#478—791no—
983#478—791no—
984#477—791no—
985#477—791no—
986#476—791no—
987#476—791no—
988#475—791no—
989#475—791no—
990#470—791no—
991#470—791no—
992#468—791no—
993#468C2×D7911yescharacteristic
994#467—791no—
995#467C2×D7911yescharacteristic, complemented
996#465—791no—
997#465—791no—
998#465—791no—
999#465—791no—
1000#465—791no—
1001#465—791no—
1002#464—791no—
1003#464—791no—
1004#464—791no—
1005#464—791no—
1006#464—791no—
1007#464—791no—
1008#464—791no—
1009#464—791no—
1010#464—791no—
1011#464—791no—
1012#464—791no—
1013#464—791no—
1014#464—791no—
1015#464—791no—
1016#464—791no—
1017#464C2×D7911yescharacteristic, complemented
1018#462—791no—
1019#462—791no—
1020#461—791no—
1021#461—791no—
1022#461—791no—
1023#461C2×D7911yescharacteristic, complemented
1024#460—791no—
1025#460—791no—
1026#460—791no—
1027#460—791no—
1028#460—791no—
1029#460—791no—
1030#460—791no—
1031#460—791no—
1032#452—791no—
1033#452—791no—
1034#452—791no—
1035#452C2×D7911yescharacteristic, complemented
1036#451—791no—
1037#451—791no—
1038#451—791no—
1039#451C2×D7911yescharacteristic, complemented
1040#450—791no—
1041#450—791no—
1042#450—791no—
1043#450—791no—
1044#450—791no—
1045#450C2×D7911yescharacteristic, complemented
1046#448—791no—
1047#448—791no—
1048#448—791no—
1049#448C2×D7911yescharacteristic
1050#446—791no—
1051#446—791no—
1052#441—791no—
1053#441—791no—
1054#440—791no—
1055#440—791no—
1056#440—791no—
1057#440—791no—
1058#440—791no—
1059#440C2×D7911yescharacteristic, complemented
1060C4×Q16—791no—
1061C4×Q16—791no—
1062C4×SD16—791no—
1063C4×SD16—791no—
1064#435—791no—
1065#435—791no—
1066#435—791no—
1067#435C2×D7911yescharacteristic, complemented
1068C8×D4—791no—
1069C8×D4—791no—
1070#433—791no—
1071#433—791no—
1072#432—791no—
1073#424—791no—
1074#424—791no—
1075C2×C4⋊C8—791no—
1076#418—791no—
1077#418—791no—
1078#416—791no—
1079#416—791no—
1080C2×#103—791no—
1081C2×#102—791no—
1082C2×#41—791no—
1083C2×#41—1581no—
1084C2×#41C22×D7911yescharacteristic
1085C22×Q8—791no—
1086C22×Q8—791no—
1087C22×Q8C22×D7911yescharacteristic
1088C22×Q8C22×D7911yescharacteristic
1089C22×D4—791no—
1090C22×D4—791no—
1091C22×D4—1581no—
1092C22×D4—1581no—
1093C22×D4C22×D7911yescharacteristic
1094#137—42no—
1095#137—3162no—
1096C2×Q16—3162no—
1097C2×Q16—791no—
1098C2×Q16—791no—
1099C2×Q16—791no—
1100C2×Q16—791no—
1101C2×Q16—791no—
1102C2×Q16C22×D7911yescharacteristic
1103C2×Q16C22×D7911yescharacteristic
1104C2×Q16C22×D7911yescharacteristic
1105C2×SD16—42no—
1106C2×SD16—3162no—
1107C2×SD16—3162no—
1108C2×SD16—791no—
1109C2×SD16—791no—
1110C2×SD16—791no—
1111C2×SD16—791no—
1112C2×SD16—791no—
1113C2×SD16—791no—
1114C2×SD16—791no—
1115C2×SD16—791no—
1116C2×SD16—791no—
1117C2×SD16—791no—
1118C2×SD16C22×D7911yescharacteristic
1119C2×SD16C22×D7911yescharacteristic
1120C2×SD16C22×D7911yescharacteristic
1121C2×SD16C22×D7911yescharacteristic
1122C2×SD16C22×D7911yescharacteristic
1123C2×SD16C22×D7911yescharacteristic
1124C2×M16—791no—
1125C2×M16C22×D7911yescharacteristic
1126C22×C8—791no—
1127C22×C8—791no—
1128C22×C8—791no—
1129C22×C8C22×D7911yescharacteristic
1130C4⋊Q8—21no—
1131C4⋊Q8—791no—
1132C4⋊Q8—791no—
1133C4⋊Q8—791no—
1134C4⋊Q8—791no—
1135C4⋊Q8—1581no—
1136C4⋊Q8—1581no—
1137C4⋊Q8—1581no—
1138C4⋊Q8C22×D7911yescharacteristic
1139#127—791no—
1140#127—791no—
1141#127—791no—
1142#126—791no—
1143#126—791no—
1144#126—1581no—
1145#126—1581no—
1146#126—1581no—
1147#126—1581no—
1148#126—1581no—
1149#126—1581no—
1150#126—1581no—
1151#126—1581no—
1152#126—1581no—
1153#126—1581no—
1154#125—791no—
1155#125—791no—
1156#125—791no—
1157#125—1581no—
1158#125—1581no—
1159#125—1581no—
1160#125—1581no—
1161#125—1581no—
1162#125—1581no—
1163#125—1581no—
1164#125—1581no—
1165#125—1581no—
1166#125—1581no—
1167#125—1581no—
1168#125—1581no—
1169#124—791no—
1170#124—791no—
1171#124—791no—
1172#124—791no—
1173#124—791no—
1174#124—791no—
1175#124—1581no—
1176#124—1581no—
1177#124—1581no—
1178#124—1581no—
1179#124—1581no—
1180#124—1581no—
1181#124—1581no—
1182#124—1581no—
1183#124—1581no—
1184#124—1581no—
1185#124C22×D7911yescharacteristic
1186#123—21no—
1187#123—791no—
1188#123—791no—
1189#123—1581no—
1190#123—1581no—
1191#123—1581no—
1192#123—1581no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198C22⋊Q8—21no—
1199C22⋊Q8—21no—
1200C22⋊Q8—791no—
1201C22⋊Q8—791no—
1202C22⋊Q8—791no—
1203C22⋊Q8—791no—
1204C22⋊Q8—791no—
1205C22⋊Q8—791no—
1206C22⋊Q8—1581no—
1207C22⋊Q8—1581no—
1208C22⋊Q8—1581no—
1209C22⋊Q8—1581no—
1210C22⋊Q8—1581no—
1211C22⋊Q8—1581no—
1212C22⋊Q8—1581no—
1213C22⋊Q8—1581no—
1214C22⋊Q8—1581no—
1215C22⋊Q8C22×D7911yescharacteristic
1216C22⋊Q8C22×D7911yescharacteristic
1217C22⋊Q8C22×D7911yescharacteristic
1218#121—21no—
1219#121—791no—
1220#121—791no—
1221#121—791no—
1222#121—791no—
1223#121—1581no—
1224#121—1581no—
1225#121—1581no—
1226#121—1581no—
1227#121—1581no—
1228#121—1581no—
1229#121—1581no—
1230#121—1581no—
1231#121—1581no—
1232#121—1581no—
1233#121C22×D7911yescharacteristic
1234#120—21no—
1235#120—1581no—
1236#120—1581no—
1237#120—1581no—
1238#120—1581no—
1239#120—1581no—
1240#120—1581no—
1241#120—1581no—
1242#120—1581no—
1243#120—1581no—
1244C4×Q8—791no—
1245C4×Q8—791no—
1246C4×Q8—791no—
1247C4×Q8—791no—
1248C4×Q8—791no—
1249C4×Q8—791no—
1250C4×Q8—791no—
1251C4×Q8—791no—
1252C4×Q8—791no—
1253C4×Q8—791no—
1254C4×Q8—791no—
1255C4×Q8—791no—
1256C4×Q8—1581no—
1257C4×Q8—1581no—
1258C4×Q8—1581no—
1259C4×Q8—1581no—
1260C4×Q8—1581no—
1261C4×Q8—1581no—
1262C4×Q8—1581no—
1263C4×Q8—1581no—
1264C4×Q8—1581no—
1265C4×Q8—1581no—
1266C4×Q8C22×D7911yescharacteristic
1267C4×D4—21no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—791no—
1273C4×D4—1581no—
1274C4×D4—1581no—
1275C4×D4—1581no—
1276C4×D4—1581no—
1277C4×D4—1581no—
1278C4×D4—1581no—
1279C4×D4—1581no—
1280C4×D4C22×D7911yescharacteristic
1281C4×D4C22×D7911yescharacteristic
1282#117—791no—
1283#117—791no—
1284#117—791no—
1285#117—791no—
1286#117—1581no—
1287#117—1581no—
1288#117—1581no—
1289#117—1581no—
1290#117—1581no—
1291#117—1581no—
1292#117—1581no—
1293C2×C4⋊C4—791no—
1294C2×C4⋊C4—1581no—
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—1581no—
1297C2×C22⋊C4—1581no—
1298C2×C22⋊C4—1581no—
1299C2×C42—791no—
1300C2×C42—1581no—
1301#107—791no—
1302#107—791no—
1303#107—791no—
1304#107C22×D7911yescharacteristic
1305#106—791no—
1306#106—791no—
1307#106—791no—
1308#106—791no—
1309C4⋊C8—791no—
1310C4⋊C8—791no—
1311C4⋊C8—791no—
1312C4⋊C8—791no—
1313C4⋊C8—791no—
1314C4⋊C8—791no—
1315C4⋊C8—791no—
1316C4⋊C8—791no—
1317C4⋊C8—791no—
1318C4⋊C8C22×D7911yescharacteristic
1319#103—791no—
1320#103—791no—
1321#103—791no—
1322#103—791no—
1323#103—791no—
1324#103—791no—
1325#103—791no—
1326#103—791no—
1327#103—791no—
1328#103—791no—
1329#103—791no—
1330#103—791no—
1331#103C22×D7911yescharacteristic
1332#103C22×D7911yescharacteristic
1333#103C22×D7911yescharacteristic
1334#103C22×D7911yescharacteristic
1335#102—791no—
1336#102—791no—
1337#102—791no—
1338#102—791no—
1339#102—791no—
1340#102—791no—
1341#102—791no—
1342#102—791no—
1343#102—791no—
1344#102—791no—
1345#102—791no—
1346#102—791no—
1347#102—791no—
1348#102—791no—
1349#102C22×D7911yescharacteristic
1350#102C22×D7911yescharacteristic
1351C22⋊C8—791no—
1352C22⋊C8—791no—
1353C22⋊C8—791no—
1354C22⋊C8—791no—
1355C22⋊C8C22×D7911yescharacteristic
1356C22⋊C8C22×D7911yescharacteristic
1357#97—791no—
1358#97—791no—
1359#97—791no—
1360#97C22×D7911yescharacteristic
1361C4×C8—791no—
1362C4×C8—791no—
1363C24—21no—
1364C24—1581no—
1365C24—1581no—
1366#41—41no—
1367#41—41no—
1368#41—3161no—
1369#41—3161no—
1370#41—6322no—
1371C2×Q8—21no—
1372C2×Q8—21no—
1373C2×Q8—22no—
1374C2×Q8—22no—
1375C2×Q8—41no—
1376C2×Q8—41no—
1377C2×Q8—3161no—
1378C2×Q8—3161no—
1379C2×Q8—3161no—
1380C2×Q8—791no—
1381C2×Q8—791no—
1382C2×Q8—791no—
1383C2×Q8—1581no—
1384C2×Q8—1581no—
1385C2×Q8—1581no—
1386C2×Q8—1582no—
1387C2×Q8—1581no—
1388C2×Q8C23×D7911yescharacteristic
1389C2×Q8C23×D7911yescharacteristic
1390C2×Q8C23×D7911yescharacteristic
1391C2×Q8C23×D7911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—3161no—
1398C2×D4—3161no—
1399C2×D4—3161no—
1400C2×D4—3161no—
1401C2×D4—791no—
1402C2×D4—791no—
1403C2×D4—791no—
1404C2×D4—791no—
1405C2×D4—6322no—
1406C2×D4—6322no—
1407C2×D4—1581no—
1408C2×D4—1581no—
1409C2×D4—1581no—
1410C2×D4—1581no—
1411C2×D4—1581no—
1412C2×D4—1581no—
1413C2×D4—1581no—
1414C2×D4—1581no—
1415C2×D4—1581no—
1416C2×D4—1581no—
1417C2×D4—1581no—
1418C2×D4—1581no—
1419C2×D4D4×D7911yescharacteristic
1420C2×D4C23×D7911yescharacteristic
1421C2×D4C23×D7911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
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×C4C23×D7911yescharacteristic
1437C22×C4C23×D7911yescharacteristic
1438Q16—22no—
1439Q16—41no—
1440Q16—41no—
1441Q16—3161no—
1442Q16—3161no—
1443Q16—3161no—
1444Q16—3161no—
1445Q16—1582no—
1446SD16—22no—
1447SD16—22no—
1448SD16—41no—
1449SD16—41no—
1450SD16—41no—
1451SD16—41no—
1452SD16—3161no—
1453SD16—3161no—
1454SD16—3161no—
1455SD16—3161no—
1456SD16—3161no—
1457SD16—3161no—
1458SD16—3161no—
1459SD16—3161no—
1460SD16—1582no—
1461SD16—1582no—
1462M16—41no—
1463M16—3161no—
1464C2×C8—41no—
1465C2×C8—3161no—
1466C2×C8—3161no—
1467C2×C8—3161no—
1468C2×C8—791no—
1469C2×C8—791no—
1470C2×C8—791no—
1471C2×C8—791no—
1472C2×C8C23×D7911yescharacteristic
1473C2×C8C23×D7911yescharacteristic
1474C2×C8C23×D7911yescharacteristic
1475C2×C8C23×D7911yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—791no—
1483C4⋊C4—791no—
1484C4⋊C4—791no—
1485C4⋊C4—791no—
1486C4⋊C4—791no—
1487C4⋊C4—791no—
1488C4⋊C4—791no—
1489C4⋊C4—791no—
1490C4⋊C4—791no—
1491C4⋊C4—791no—
1492C4⋊C4—791no—
1493C4⋊C4—791no—
1494C4⋊C4—791no—
1495C4⋊C4—1581no—
1496C4⋊C4—1581no—
1497C4⋊C4—1581no—
1498C4⋊C4—1581no—
1499C4⋊C4—1581no—
1500C4⋊C4—1581no—
1501C4⋊C4—1581no—
1502C4⋊C4—1581no—
1503C4⋊C4—1581no—
1504C4⋊C4—1581no—
1505C4⋊C4—1581no—
1506C4⋊C4—1581no—
1507C4⋊C4—1581no—
1508C4⋊C4—1581no—
1509C4⋊C4—1581no—
1510C4⋊C4—1581no—
1511C4⋊C4—1581no—
1512C4⋊C4—1581no—
1513C4⋊C4—1581no—
1514C4⋊C4—1581no—
1515C4⋊C4—1581no—
1516C4⋊C4—1581no—
1517C4⋊C4—1581no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4—1581no—
1522C4⋊C4D4×D7911yescharacteristic
1523C4⋊C4C23×D7911yescharacteristic
1524C4⋊C4C23×D7911yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—791no—
1533C22⋊C4—791no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—791no—
1540C22⋊C4—1581no—
1541C22⋊C4—1581no—
1542C22⋊C4—1581no—
1543C22⋊C4—1581no—
1544C22⋊C4—1581no—
1545C22⋊C4—1581no—
1546C22⋊C4—1581no—
1547C22⋊C4—1581no—
1548C22⋊C4—1581no—
1549C22⋊C4—1581no—
1550C22⋊C4—1581no—
1551C22⋊C4—1581no—
1552C22⋊C4—1581no—
1553C22⋊C4—1581no—
1554C22⋊C4—1581no—
1555C22⋊C4—1581no—
1556C22⋊C4—1581no—
1557C22⋊C4—1581no—
1558C22⋊C4—1581no—
1559C22⋊C4—1581no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4D4×D7911yescharacteristic
1564C22⋊C4D4×D7911yescharacteristic
1565C42—21no—
1566C42—791no—
1567C42—791no—
1568C42—791no—
1569C42—791no—
1570C42—791no—
1571C42—1581no—
1572C42—1581no—
1573C42—1581no—
1574C42—1581no—
1575C42—1581no—
1576C42—1581no—
1577C42—1581no—
1578C42—1581no—
1579C42—1581no—
1580C42—1581no—
1581C42—1581no—
1582C42—1581no—
1583C42—1581no—
1584C42C23×D7911yescharacteristic
1585C23—21no—
1586C23—21no—
1587C23—81no—
1588C23—81no—
1589C23—81no—
1590C23—3162no—
1591C23—791no—
1592C23—6321no—
1593C23—6321no—
1594C23—6321no—
1595C23—6321no—
1596C23—6321no—
1597C23—1581no—
1598C23—1581no—
1599C23C2×D4×D7911yescharacteristic
1600C23C2×D4×D7911yescharacteristic
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—21no—
1607Q8—21no—
1608Q8—42no—
1609Q8—42no—
1610Q8—3162no—
1611Q8—3162no—
1612Q8—3161no—
1613Q8—6321no—
1614Q8—6321no—
1615Q8—1581no—
1616Q8—1581no—
1617Q8—1581no—
1618Q8—1581no—
1619Q8#1457920612yes—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—41no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—3162no—
1629D4—3162no—
1630D4—6321no—
1631D4—6321no—
1632D4—6321no—
1633D4—6321no—
1634D4—6321no—
1635D4—6321no—
1636D4—6321no—
1637D4—6321no—
1638D4—6321no—
1639D4—6321no—
1640D4—1582no—
1641D4—1582no—
1642D4—1581no—
1643D4—1581no—
1644D4—1581no—
1645D4—1581no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—42no—
1657C2×C4—42no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—3162no—
1661C2×C4—3161no—
1662C2×C4—3162no—
1663C2×C4—791no—
1664C2×C4—791no—
1665C2×C4—791no—
1666C2×C4—791no—
1667C2×C4—791no—
1668C2×C4—791no—
1669C2×C4—791no—
1670C2×C4—6321no—
1671C2×C4—6321no—
1672C2×C4—6321no—
1673C2×C4—6321no—
1674C2×C4—6321no—
1675C2×C4—1582no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1581no—
1681C2×C4—1581no—
1682C2×C4—1581no—
1683C2×C4—1581no—
1684C2×C4C2×D4×D7911yescharacteristic
1685C2×C4C2×D4×D7911yescharacteristic
1686C2×C4C2×D4×D7911yescharacteristic
1687C2×C4C2×D4×D7911yescharacteristic
1688C2×C4C24×D7911yescharacteristic
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—1581no—
1694C8—1581no—
1695C8—1581no—
1696C8—1581no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—162no—
1710C22—3161no—
1711C22—3161no—
1712C22—3161no—
1713C22—3161no—
1714C22—3161no—
1715C22—3161no—
1716C22—792no—
1717C22—1581no—
1718C22—1581no—
1719C22—12642no—
1720C22—12642no—
1721C22C22×D4×D7911yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—22no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—3161no—
1733C4—3161no—
1734C4—3161no—
1735C4—3161no—
1736C4—3161no—
1737C4—3161no—
1738C4—1581no—
1739C4—1581no—
1740C4—1581no—
1741C4—1581no—
1742C4—1581no—
1743C4—1581no—
1744C4—1581no—
1745C4C2×#1457920611yescharacteristic
1746C4#1909939811yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—81no—
1750C2—81no—
1751C2—6321no—
1752C2—6321no—
1753C2—1582no—
1754C2#2377706011yescharacteristic
1755C2#577×D7911yescharacteristic
1756C2#2377818311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3266C2
socleC22×C79C23×D4
prime radical#23777909C2
hypercenter#3266D79
hypocenterC79#62019
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
2. #23777491C2semidirect
3. #23776450C2semidirect
4. #23776448C2semidirect
5. #23776173C2semidirect
6. #23776165C2semidirect
7. #23775438C2semidirect
8. #23775436C2semidirect
9. #23775416C2semidirect
10. #23775414C2semidirect
11. #23775282C2semidirect
12. #23775280C2semidirect
13. SD16×C22⋊D79C2semidirect
14. #23775089C2semidirect
15. #23774973C2semidirect
16. #23774964C2semidirect
17. #23774911C2semidirect
18. #23774829C2semidirect
19. #23774827C2semidirect
20. #23774713C2semidirect
21. #23774470C2semidirect
22. #23774468C2semidirect
23. #23774398C2semidirect
24. #23773630C2semidirect
25. #23773622C2semidirect
26. #23773520C2semidirect
27. #23772923C2semidirect
28. #23772918C2semidirect
29. #464×D79C2semidirect
30. #23772535C2semidirect
31. C79×#3266C2semidirect
32. C2×#14579192C22semidirect
33. C2×Q16×D79C22semidirect
34. C22×#11929611C22semidirect
40. #19099292C22semidirect
42. #19099288C22semidirect
44. #19099283C22semidirect
47. #19099247C22semidirect
48. #19099247C22semidirect
49. Q8×C22⋊D79C22semidirect
50. Q8×C22⋊D79C22semidirect
62. #19099173C22semidirect
63. #19099173C22semidirect
71. #19099118C22semidirect
76. #19099041C22semidirect
77. #19099041C22semidirect
78. C4×Q8×D79C22semidirect
79. #19098956C22semidirect
80. #19098955C22semidirect
81. #19098954C22semidirect
86. #19098923C22semidirect
87. #19098922C22semidirect
88. #19098919C22semidirect
89. #19098916C22semidirect
90. #19098905C22semidirect
91. #19098901C22semidirect
94. #19098878C22semidirect
95. #19098875C22semidirect
96. #19098869C22semidirect
97. #19098868C22semidirect
98. #19098866C22semidirect
99. #19098865C22semidirect
100. #19098857C22semidirect
101. #19098856C22semidirect
102. #19098854C22semidirect
103. #19098853C22semidirect
104. #19098846C22semidirect
105. #19098846C22semidirect
106. #19098821C22semidirect
107. #19098819C22semidirect
109. #19098802C22semidirect
110. #19098795C22semidirect
111. #19098795C22semidirect
114. #19098789C22semidirect
115. #19098789C22semidirect
116. #19098788C22semidirect
117. #19098787C22semidirect
118. #19098787C22semidirect
119. #19098787C22semidirect
120. #19098787C22semidirect
121. #19098787C22semidirect
122. #19098786C22semidirect
123. #19098785C22semidirect
124. #19098784C22semidirect
125. #19098783C22semidirect
126. #19098783C22semidirect
127. #19098783C22semidirect
128. #19098783C22semidirect
129. #19098783C22semidirect
130. #19098782C22semidirect
131. #19098772C22semidirect
132. #19098771C22semidirect
133. #19098767C22semidirect
134. #19098766C22semidirect
135. #19098765C22semidirect
136. #19098762C22semidirect
141. #19098761C22semidirect
142. #19098761C22semidirect
143. #19098761C22semidirect
144. #19098727C22semidirect
145. #19098725C22semidirect
146. #19098723C22semidirect
147. #19098719C22semidirect
148. #19098717C22semidirect
149. #19098717C22semidirect
150. #19098716C22semidirect
151. #19098714C22semidirect
152. #19098713C22semidirect
155. #19098703C22semidirect
157. #19098700C22semidirect
158. #19098692C22semidirect
159. #19098691C22semidirect
160. #19098670C22semidirect
161. #19098667C22semidirect
162. #19098666C22semidirect
163. #19098665C22semidirect
164. #19098664C22semidirect
165. #19098663C22semidirect
166. #19098661C22semidirect
167. Q16×Dic79C22semidirect
168. #19098655C22semidirect
169. SD16×Dic79C22semidirect
170. #19098648C22semidirect
171. #19098637C22semidirect
172. #19098635C22semidirect
173. #19098632C22semidirect
174. C8×C22⋊D79C22semidirect
175. (C22⋊D79)⋊C8C22semidirect
176. #19098621C22semidirect
177. #19098621C22semidirect
178. #19098618C22semidirect
179. #19098591C22semidirect
180. #19098589C22semidirect
181. C4⋊C8×D79C22semidirect
182. #19098569C22semidirect
183. #19098568C22semidirect
184. #19098560C22semidirect
185. #19098559C22semidirect
186. #103×D79C22semidirect
188. C2×#137×C79C22semidirect
189. C22×SD16×C79C22semidirect
190. D4×Q8×C79C22semidirect
192. #497×C79C22semidirect
194. #467×C79C22semidirect
195. #464×C79C22semidirect
196. #461×C79C22semidirect
197. #452×C79C22semidirect
198. #451×C79C22semidirect
199. #450×C79C22semidirect
201. #440×C79C22semidirect
202. #435×C79C22semidirect
896. #3266D79semidirect
910. C79#62019semidirect
912. C2×#137C2×D79semidirect
916. C22×SD16C2×D79semidirect
932. D4×Q8C2×D79semidirect
965. #497C2×D79semidirect
995. #467C2×D79semidirect
1017. #464C2×D79semidirect
1023. #461C2×D79semidirect
1035. #452C2×D79semidirect
1039. #451C2×D79semidirect
1045. #450C2×D79semidirect
1059. #440C2×D79semidirect
1067. #435C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779092
#237774912
#237764502
#237764482
#237761732
#237761652
#237754382
#237754362
#237754162
#237754142
#237752822
#237752802
SD16×C22⋊D792
#237750892
#237749732
#237749642
#237749112
#237748292
#237748272
#237747132
#237744702
#237744682
#237743982
#237736302
#237736222
#237735202
#237729232
#237729182
#464×D792
#237725352
C79×#32662
#6201979