Finite Group Databasebeta

← #35181849

Subgroups — #35181849

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#23777914C211yesmaximal, characteristic
2#23777487C211yesmaximal, characteristic, complemented
3#23776458C211yesmaximal, characteristic, complemented
4#23776448C211yesmaximal, characteristic, complemented
5#23776164C211yesmaximal, characteristic, complemented
6#23776161C211yesmaximal, characteristic, complemented
7#23775442C211yesmaximal, characteristic, complemented
8#23775429C211yesmaximal, characteristic, complemented
9#23775425C211yesmaximal, characteristic, complemented
10#23775421C211yesmaximal, characteristic, complemented
11#23775293C211yesmaximal, characteristic, complemented
12#23775289C211yesmaximal, characteristic, complemented
13SD16×C22⋊D79C211yesmaximal, characteristic, complemented
14#23774971C211yesmaximal, characteristic, complemented
15#23774963C211yesmaximal, characteristic, complemented
16#23774913C211yesmaximal, characteristic, complemented
17#23774910C211yesmaximal, characteristic, complemented
18#23774822C211yesmaximal, characteristic, complemented
19#23774819C211yesmaximal, characteristic, complemented
20#23774711C211yesmaximal, characteristic, complemented
21#23774468C211yesmaximal, characteristic, complemented
22#23774465C211yesmaximal, characteristic, complemented
23#23774400C211yesmaximal, characteristic, complemented
24#23773625C211yesmaximal, characteristic, complemented
25#23773622C211yesmaximal, characteristic, complemented
26#23773517C211yesmaximal, characteristic, complemented
27#23772918C211yesmaximal, characteristic, complemented
28#23772916C211yesmaximal, characteristic, complemented
29C2×#19098783C211yesmaximal, characteristic, complemented
30#23772533C211yesmaximal, characteristic, complemented
31D4×SD16×C79C211yesmaximal, characteristic, complemented
32C2×#14579192C2211yescharacteristic, complemented
33C2×#14579190C2211yescharacteristic, complemented
34C22×#11929614C2211yescharacteristic, complemented
35C2×SD16×D79C2211yescharacteristic, complemented
36#19099308—21no—
37#19099306—21no—
38#19099299C2211yescharacteristic
39#19099296C2211yescharacteristic
40#19099289C2211yescharacteristic, complemented
41#19099288—21no—
42#19099288C2211yescharacteristic, complemented
43#19099284—21no—
44#19099284C2211yescharacteristic, complemented
45#19099255—21no—
46#19099255C2211yescharacteristic, complemented
47#19099253—21no—
48#19099253C2211yescharacteristic, complemented
49Q8×C22⋊D79C2211yescharacteristic, complemented
50Q8×C22⋊D79C2211yescharacteristic, complemented
51#19099222C2211yescharacteristic
52#19099219C2211yescharacteristic
53#19099210C2211yescharacteristic
54#19099207—21no—
55#19099207C2211yescharacteristic
56#19099200—21no—
57D4×C22⋊D79C2211yescharacteristic
58#19099180C2211yescharacteristic
59#19099178C2211yescharacteristic
60#19099174—21no—
61#19099174C2211yescharacteristic, complemented
62#19099173—21no—
63#19099173C2211yescharacteristic, complemented
64#19099148—21no—
65#19099148—21no—
66#19099145—21no—
67#19099130C2211yescharacteristic
68#19099126C2211yescharacteristic
69#19099122—21no—
70#19099115—21no—
71#19099115C2211yescharacteristic, complemented
72#19099108C2211yescharacteristic
73#19099093—21no—
74#19099093C2211yescharacteristic
75C2×#14579148C2211yescharacteristic
76#19099041C2211yescharacteristic, complemented
77#19099039C2211yescharacteristic, complemented
78C2×Q8×Dic79C2211yescharacteristic, complemented
79#19098955C2211yescharacteristic, complemented
80#19098954C2211yescharacteristic, complemented
81#19098954C2211yescharacteristic, complemented
82#19098954C2211yescharacteristic, complemented
83#19098934C2211yescharacteristic
84#19098927C2211yescharacteristic
85#19098926C2211yescharacteristic
86#19098921C2211yescharacteristic, complemented
87#19098921C2211yescharacteristic, complemented
88#19098918C2211yescharacteristic, complemented
89#19098916C2211yescharacteristic, complemented
90#19098907C2211yescharacteristic, complemented
91#19098905C2211yescharacteristic, complemented
92#19098885C2211yescharacteristic
93#19098884C2211yescharacteristic
94#19098877C2211yescharacteristic, complemented
95#19098874C2211yescharacteristic, complemented
96#19098873C2211yescharacteristic, complemented
97#19098871C2211yescharacteristic, complemented
98#19098863C2211yescharacteristic, complemented
99#19098861C2211yescharacteristic, complemented
100#19098856C2211yescharacteristic, complemented
101#19098856C2211yescharacteristic, complemented
102#19098852C2211yescharacteristic, complemented
103#19098851C2211yescharacteristic, complemented
104#19098847C2211yescharacteristic, complemented
105#19098846C2211yescharacteristic, complemented
106#19098820C2211yescharacteristic, complemented
107#19098819C2211yescharacteristic, complemented
108#19098807C2211yescharacteristic
109#19098806C2211yescharacteristic
110#19098804C2211yescharacteristic, complemented
111#19098803C2211yescharacteristic, complemented
112#19098794C2211yescharacteristic, complemented
113#19098792C2211yescharacteristic, complemented
114#19098790C2211yescharacteristic, complemented
115#19098789C2211yescharacteristic
116#19098786C2211yescharacteristic, complemented
117#19098785C2211yescharacteristic, complemented
118#19098784C2211yescharacteristic, complemented
119#19098784C2211yescharacteristic, complemented
120#19098783C2211yescharacteristic, complemented
121#19098783C2211yescharacteristic, complemented
122#19098783C2211yescharacteristic, complemented
123#19098783C2211yescharacteristic, complemented
124#19098783C2211yescharacteristic, complemented
125#19098783C2211yescharacteristic, complemented
126#19098783C2211yescharacteristic, complemented
127#19098783C2211yescharacteristic, complemented
128#19098783C2211yescharacteristic, complemented
129#19098783C2211yescharacteristic, complemented
130#19098783C2211yescharacteristic, complemented
131#19098783C2211yescharacteristic, complemented
132#19098772C2211yescharacteristic, complemented
133#19098770C2211yescharacteristic, complemented
134#19098767C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098766C2211yescharacteristic, complemented
137#19098762C2211yescharacteristic, complemented
138#19098761C2211yescharacteristic
139#19098761C2211yescharacteristic
140#19098761C2211yescharacteristic, complemented
141#19098761C2211yescharacteristic, complemented
142#19098761C2211yescharacteristic, complemented
143#19098760C2211yescharacteristic
144#19098727C2211yescharacteristic, complemented
145#19098723C2211yescharacteristic, complemented
146#19098722C2211yescharacteristic, complemented
147#19098722C2211yescharacteristic, complemented
148#19098721C2211yescharacteristic, complemented
149#19098720C2211yescharacteristic, complemented
150#19098719C2211yescharacteristic, complemented
151#19098718C2211yescharacteristic, complemented
152#19098714C2211yescharacteristic
153#19098714C2211yescharacteristic, complemented
154#19098712C2211yescharacteristic, complemented
155#19098712C2211yescharacteristic, complemented
156#19098702C2211yescharacteristic, complemented
157#19098700C2211yescharacteristic
158#19098693C2211yescharacteristic, complemented
159#19098692C2211yescharacteristic, complemented
160#19098668C2211yescharacteristic, complemented
161#19098667C2211yescharacteristic, complemented
162#19098666C2211yescharacteristic, complemented
163#19098666C2211yescharacteristic, complemented
164#19098664C2211yescharacteristic, complemented
165#19098664C2211yescharacteristic, complemented
166#19098664C2211yescharacteristic, complemented
167#19098663C2211yescharacteristic, complemented
168C4×Dic316C2211yescharacteristic, complemented
169#19098655C2211yescharacteristic, complemented
170SD16×Dic79C2211yescharacteristic, complemented
171#19098637C2211yescharacteristic, complemented
172#19098635C2211yescharacteristic, complemented
173#19098634C2211yescharacteristic, complemented
174#19098631C2211yescharacteristic, complemented
175C8×C22⋊D79C2211yescharacteristic, complemented
176#19098622C2211yescharacteristic, complemented
177#19098621C2211yescharacteristic, complemented
178#19098617C2211yescharacteristic, complemented
179#19098589C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181C2×Dic79⋊C8C2211yescharacteristic, complemented
182#19098568C2211yescharacteristic, complemented
183#19098566C2211yescharacteristic, complemented
184#19098560C2211yescharacteristic, complemented
185#19098556C2211yescharacteristic, complemented
186C2×#14579086C2211yescharacteristic, complemented
187C2×#14579082C2211yescharacteristic
188C22×SD16×C79C2211yescharacteristic
189C22×SD16×C79C2211yescharacteristic, complemented
190D4×Q8×C79C2211yescharacteristic, complemented
191D42×C79C2211yescharacteristic
192#492×C79C2211yescharacteristic
193#465×C79C2211yescharacteristic
194#465×C79C2211yescharacteristic, complemented
195#461×C79C2211yescharacteristic, complemented
196#460×C79C2211yescharacteristic
197#450×C79C2211yescharacteristic
198#450×C79C2211yescharacteristic, complemented
199#448×C79C2211yescharacteristic
200#448×C79C2211yescharacteristic, complemented
201C4×SD16×C79C2211yescharacteristic, complemented
202C8×D4×C79C2211yescharacteristic, complemented
203C2×#11929624C2311yescharacteristic
204C2×#11929623—21no—
205C2×#11929623C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C22×C22⋊D79—21no—
209C2×D4×D79C2311yescharacteristic
210#14579192—42no—
211#14579190—42no—
212C2×Dic316C2311yescharacteristic
213C2×Dic316C2311yescharacteristic
214C2×#11929614—42no—
215C2×#11929614C2311yescharacteristic
216C2×#11929614C2311yescharacteristic
217C2×#11929614C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929614C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929613C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×#11929611C2311yescharacteristic
226C2×#11929611C2311yescharacteristic
227C2×#11929611C2311yescharacteristic
228SD16×D79—42no—
229C2×#11929608C2311yescharacteristic
230C2×#11929607C2311yescharacteristic
231C22×C79⋊C8C2311yescharacteristic
232C2×C8×D79C2311yescharacteristic
233#14579160—21no—
234#14579160C2311yescharacteristic
235#14579160C2311yescharacteristic
236#14579159—21no—
237#14579159—21no—
238#14579159C2311yescharacteristic
239#14579159C2311yescharacteristic
240#14579157C2311yescharacteristic
241#14579157C2311yescharacteristic
242#14579156—21no—
243#14579156—21no—
244#14579156—21no—
245#14579156—21no—
246#14579156D411yescharacteristic
247#14579154—21no—
248#14579154—21no—
249#14579154—21no—
250#14579154—21no—
251#14579154—21no—
252#14579154—21no—
253#14579154D411yescharacteristic
254#14579153—21no—
255#14579153C2311yescharacteristic
256#14579152—21no—
257#14579152—21no—
258#14579152—21no—
259#14579152—21no—
260#14579152C2311yescharacteristic
261#14579151—21no—
262#14579151—21no—
263#14579151—21no—
264#14579151—21no—
265#14579151—21no—
266#14579151—21no—
267#14579151—21no—
268#14579151D411yescharacteristic
269#14579149C2311yescharacteristic
270#14579148—21no—
271#14579148—21no—
272#14579148—21no—
273#14579148—21no—
274#14579148C2311yescharacteristic
275#14579148C2311yescharacteristic
276#14579148C2311yescharacteristic
277#14579148C2311yescharacteristic
278#14579148C2311yescharacteristic
279#14579147—21no—
280#14579147—21no—
281#14579147—21no—
282#14579147—21no—
283#14579147—21no—
284#14579147—21no—
285#14579147D411yescharacteristic
286#14579145—21no—
287#14579145D411yescharacteristic
288#14579144—21no—
289#14579144—21no—
290#14579143—21no—
291#14579143—21no—
292#14579142—21no—
293#14579142—21no—
294#14579142—21no—
295#14579142—21no—
296#14579142—21no—
297#14579142D411yescharacteristic
298#14579141C2311yescharacteristic
299#14579140—21no—
300#14579140—21no—
301#14579140—21no—
302#14579140C2311yescharacteristic
303#14579140C2311yescharacteristic
304#14579140C2311yescharacteristic
305#14579139—21no—
306#14579138—21no—
307#14579138—21no—
308#14579138—21no—
309#14579138D411yescharacteristic
310#14579137—21no—
311#14579137—21no—
312#14579137C2311yescharacteristic
313#14579137C2311yescharacteristic
314#14579135C2311yescharacteristic
315#14579133—21no—
316#14579133—21no—
317#14579133—21no—
318#14579133—21no—
319#14579133—21no—
320#14579133—21no—
321#14579133—21no—
322#14579133D411yescharacteristic
323#14579132—21no—
324#14579132—21no—
325#14579132—21no—
326#14579132C2311yescharacteristic
327#14579130—21no—
328#14579130—21no—
329#14579130—21no—
330#14579130—21no—
331#14579129—21no—
332#14579129—21no—
333#14579129—21no—
334#14579129—21no—
335Q8×Dic79—21no—
336Q8×Dic79—21no—
337Q8×Dic79—21no—
338Q8×Dic79—21no—
339Q8×Dic79C2311yescharacteristic
340Q8×Dic79C2311yescharacteristic
341Q8×Dic79C2311yescharacteristic
342Q8×Dic79C2311yescharacteristic
343Q8×Dic79C2311yescharacteristic
344Q8×Dic79C2311yescharacteristic
345Q8×Dic79C2311yescharacteristic
346C4×Dic158—21no—
347C4×Dic158—21no—
348C4×Dic158C2311yescharacteristic
349C4×Dic158C2311yescharacteristic
350C4×Dic158C2311yescharacteristic
351#14579126—21no—
352#14579126—21no—
353#14579126—21no—
354#14579126—21no—
355#14579126C2311yescharacteristic
356#14579126C2311yescharacteristic
357D4×Dic79—21no—
358D4×Dic79—21no—
359D4×Dic79C2311yescharacteristic
360D4×Dic79C2311yescharacteristic
361#14579123C2311yescharacteristic
362C4×C22⋊D79—21no—
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79C2311yescharacteristic
366C4×C22⋊D79C2311yescharacteristic
367(C22⋊D79)⋊C4—21no—
368(C22⋊D79)⋊C4—21no—
369#14579120—21no—
370#14579120—21no—
371#14579120C2311yescharacteristic
372#14579120C2311yescharacteristic
373#14579119—21no—
374#14579119C2311yescharacteristic
375#14579118—21no—
376#14579118C2311yescharacteristic
377#14579117—21no—
378#14579117—21no—
379#14579117—21no—
380C2×C4⋊Dic79—21no—
381C2×C4⋊Dic79C2311yescharacteristic
382C2×C22⋊Dic79—21no—
383C2×C22⋊Dic79—21no—
384C2×C22⋊Dic79—21no—
385C22⋊C4×D79—21no—
386C2×C4×Dic79—21no—
387C2×C4×Dic79C2311yescharacteristic
388#14579095C2311yescharacteristic
389#14579095C2311yescharacteristic
390#14579094C2311yescharacteristic
391#14579094C2311yescharacteristic
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#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579085C2311yescharacteristic
412#14579085C2311yescharacteristic
413#14579085C2311yescharacteristic
414#14579084C2311yescharacteristic
415#14579084C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579083C2311yescharacteristic
418#14579083C2311yescharacteristic
419#14579083C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579081C2311yescharacteristic
430C22⋊(C79⋊C8)C2311yescharacteristic
431C22⋊(C79⋊C8)C2311yescharacteristic
432(C2×D79)⋊C8C2311yescharacteristic
433(C2×D79)⋊C8C2311yescharacteristic
434#14579072C2311yescharacteristic
435#14579071C2311yescharacteristic
436#14579071C2311yescharacteristic
437#14579071C2311yescharacteristic
438C8×Dic79C2311yescharacteristic
439C22×Q8×C79C2311yescharacteristic
440C22×Q8×C79C2311yescharacteristic
441C22×D4×C79—21no—
442C22×D4×C79C2311yescharacteristic
443C22×D4×C79C2311yescharacteristic
444C2×SD16×C79—42no—
445C2×SD16×C79—42no—
446C2×SD16×C79C2311yescharacteristic
447C2×SD16×C79C2311yescharacteristic
448C2×SD16×C79C2311yescharacteristic
449C2×SD16×C79C2311yescharacteristic
450C2×SD16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×SD16×C79C2311yescharacteristic
453C2×SD16×C79C2311yescharacteristic
454C2×SD16×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456C22×C8×C79C2311yescharacteristic
457C4⋊Q8×C79—21no—
458C4⋊Q8×C79C2311yescharacteristic
459#127×C79C2311yescharacteristic
460C22⋊Q8×C79—21no—
461C22⋊Q8×C79—21no—
462C22⋊Q8×C79C2311yescharacteristic
463C22⋊Q8×C79C2311yescharacteristic
464#121×C79—21no—
465#121×C79C2311yescharacteristic
466#121×C79C2311yescharacteristic
467#120×C79—21no—
468#120×C79—21no—
469C4×Q8×C79C2311yescharacteristic
470C4×D4×C79—21no—
471C4×D4×C79C2311yescharacteristic
472C4×D4×C79C2311yescharacteristic
473#106×C79C2311yescharacteristic
474C4⋊C8×C79C2311yescharacteristic
475#103×C79C2311yescharacteristic
476#103×C79C2311yescharacteristic
477#103×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483C4×C8×C79C2311yescharacteristic
484C23×D79—21no—
485#11929624—41no—
486#11929624—41no—
487#11929623—41no—
488#11929623—41no—
489#11929623—82no—
490C2×Dic158—21no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—41no—
495C2×Dic158—41no—
496C2×Dic158C2×D411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×Dic158C2411yescharacteristic
499C2×Dic158C2411yescharacteristic
500Q8×D79—22no—
501Q8×D79—41no—
502C2×D316C2411yescharacteristic
503C2×C22⋊D79—21no—
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—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—82no—
513C2×C22⋊D79C2×D411yescharacteristic
514C2×C22⋊D79C2×D411yescharacteristic
515D4×D79—41no—
516D4×D79—41no—
517C22×Dic79—21no—
518C22×Dic79—21no—
519C22×Dic79—21no—
520C22×Dic79—21no—
521C22×Dic79—21no—
522C22×Dic79C2×D411yescharacteristic
523C22×Dic79C2×D411yescharacteristic
524C2×C4×D79—21no—
525C2×C4×D79—21no—
526C2×C4×D79—21no—
527C2×C4×D79C2411yescharacteristic
528Dic316—41no—
529Dic316—41no—
530#11929614—22no—
531#11929614—22no—
532#11929614—41no—
533#11929614—41no—
534#11929614—41no—
535#11929614—41no—
536#11929613—41no—
537#11929612—41no—
538#11929612—41no—
539#11929612—41no—
540#11929611—22no—
541#11929611—41no—
542#11929611—41no—
543#11929608—41no—
544#11929607—41no—
545C2×C79⋊C8—41no—
546C2×C79⋊C8C2411yescharacteristic
547C2×C79⋊C8C2411yescharacteristic
548C2×C79⋊C8C2411yescharacteristic
549C2×C79⋊C8C2411yescharacteristic
550C8×D79—41no—
551C4⋊Dic79—21no—
552C4⋊Dic79—21no—
553C4⋊Dic79—21no—
554C4⋊Dic79—21no—
555C4⋊Dic79—21no—
556C4⋊Dic79—21no—
557C4⋊Dic79—21no—
558C4⋊Dic79—21no—
559C4⋊Dic79—21no—
560C4⋊Dic79—21no—
561C4⋊Dic79C2×D411yescharacteristic
562C4⋊Dic79C2×D411yescharacteristic
563C4⋊Dic79C2×D411yescharacteristic
564C4⋊Dic79C2411yescharacteristic
565C4⋊Dic79C2411yescharacteristic
566C4⋊Dic79C2411yescharacteristic
567C4⋊Dic79C2411yescharacteristic
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4—21no—
572Dic79⋊C4—21no—
573Dic79⋊C4—21no—
574Dic79⋊C4—21no—
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⋊C4C2×D411yescharacteristic
587Dic79⋊C4C2×D411yescharacteristic
588Dic79⋊C4C2×D411yescharacteristic
589Dic79⋊C4C2×D411yescharacteristic
590Dic79⋊C4C2×D411yescharacteristic
591Dic79⋊C4C2×D411yescharacteristic
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79—21no—
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⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79C2×D411yescharacteristic
610C22⋊Dic79C2×D411yescharacteristic
611C22⋊Dic79C2×D411yescharacteristic
612C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
622(C2×D79)⋊C4C2×D411yescharacteristic
623(C2×D79)⋊C4C2×D411yescharacteristic
624(C2×D79)⋊C4C2×D411yescharacteristic
625C4×Dic79—21no—
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×Dic79C2×D411yescharacteristic
639C4×Dic79C2×D411yescharacteristic
640C4×Dic79C2411yescharacteristic
641C4×Dic79C2411yescharacteristic
642C4×Dic79C2411yescharacteristic
643C24×C79—21no—
644C24×C79—21no—
645C2×Q8×C79—21no—
646C2×Q8×C79—21no—
647C2×Q8×C79—22no—
648C2×Q8×C79—22no—
649C2×Q8×C79—41no—
650C2×Q8×C79—41no—
651C2×Q8×C79C2411yescharacteristic
652C2×Q8×C79C2411yescharacteristic
653C2×Q8×C79C2411yescharacteristic
654C2×D4×C79—21no—
655C2×D4×C79—21no—
656C2×D4×C79—21no—
657C2×D4×C79—21no—
658C2×D4×C79—21no—
659C2×D4×C79—21no—
660C2×D4×C79—41no—
661C2×D4×C79—41no—
662C2×D4×C79—41no—
663C2×D4×C79—41no—
664C2×D4×C79—82no—
665C2×D4×C79C2×D411yescharacteristic
666C2×D4×C79C2411yescharacteristic
667C2×D4×C79C2411yescharacteristic
668C2×D4×C79C2411yescharacteristic
669C22×C4×C79—21no—
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79C2411yescharacteristic
673C22×C4×C79C2411yescharacteristic
674SD16×C79—22no—
675SD16×C79—22no—
676SD16×C79—22no—
677SD16×C79—41no—
678SD16×C79—41no—
679SD16×C79—41no—
680SD16×C79—41no—
681SD16×C79—41no—
682SD16×C79—41no—
683C2×C8×C79—41no—
684C2×C8×C79—41no—
685C2×C8×C79C2411yescharacteristic
686C2×C8×C79C2411yescharacteristic
687C2×C8×C79C2411yescharacteristic
688C2×C8×C79C2411yescharacteristic
689C4⋊C4×C79—21no—
690C4⋊C4×C79—21no—
691C4⋊C4×C79—21no—
692C4⋊C4×C79—21no—
693C4⋊C4×C79—21no—
694C4⋊C4×C79C2×D411yescharacteristic
695C4⋊C4×C79C2411yescharacteristic
696C4⋊C4×C79C2411yescharacteristic
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—21no—
709C23×C79—42no—
710C23×C79—81no—
711C23×C79—81no—
712C23×C79—81no—
713C23×C79—81no—
714C23×C79—81no—
715C23×C79C22×D411yescharacteristic
716C23×C79C22×D411yescharacteristic
717C22×D79—21no—
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—42no—
728Q8×C79—42no—
729Q8×C79H(5,𝔽2)12yes—
730D4×C79—22no—
731D4×C79—21no—
732D4×C79—21no—
733D4×C79—21no—
734D4×C79—21no—
735D4×C79—21no—
736D4×C79—21no—
737D4×C79—42no—
738D4×C79—81no—
739D4×C79—81no—
740D4×C79—81no—
741D4×C79—81no—
742D4×C79—81no—
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—21no—
751C2×C4×C79—21no—
752C2×C4×C79—42no—
753C2×C4×C79—42no—
754C2×C4×C79—81no—
755C2×C4×C79C22×D411yescharacteristic
756C2×C4×C79C22×D411yescharacteristic
757C2×C4×C79C22×D411yescharacteristic
758C2×C4×C79C22×D411yescharacteristic
759C2×C4×C79C2511yescharacteristic
760C22⋊D79—22no—
761C22⋊D79—41no—
762C22⋊D79—42no—
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—22no—
772C2×Dic79—21no—
773C2×Dic79—21no—
774C2×Dic79—21no—
775C2×Dic79—21no—
776C2×Dic79—21no—
777C2×Dic79—21no—
778C2×Dic79—21no—
779C2×Dic79—41no—
780C2×Dic79—42no—
781C2×Dic79—81no—
782C2×Dic79—81no—
783C2×Dic79—81no—
784C2×Dic79—81no—
785C2×Dic79C22×D411yescharacteristic
786C2×Dic79C22×D411yescharacteristic
787C2×Dic79C22×D411yescharacteristic
788C2×Dic79C22×D411yescharacteristic
789C2×Dic79C22×D411yescharacteristic
790C2×Dic79C22×D411yescharacteristic
791C2×Dic79C22×D411yescharacteristic
792D316—21no—
793D316—21no—
794C4×D79—21no—
795C4×D79—21no—
796C4×D79—42no—
797C4×D79—81no—
798C4×D79—81no—
799Dic158—21no—
800Dic158—21no—
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—41no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—162no—
833C22×C79—162no—
834C22×C79#57712yes—
835C22×C79C23×D411yescharacteristic
836C2×D79—21no—
837C2×D79—21no—
838C2×D79—21no—
839C2×D79—41no—
840C2×D79—41no—
841C2×D79—41no—
842C2×D79—162no—
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×C79C2×H(5,𝔽2)11yescharacteristic
853C4×C79#58511yescharacteristic
854Dic79—21no—
855Dic79—21no—
856Dic79—21no—
857Dic79—21no—
858Dic79—21no—
859Dic79—21no—
860Dic79—21no—
861Dic79—41no—
862Dic79—41no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867Dic79—41no—
868#62019—791nomaximal, Sylow
869C2×C79—22no—
870C2×C79—41no—
871C2×C79—81no—
872C2×C79—81no—
873C2×C79—81no—
874C2×C79#348811yescharacteristic
875C2×C79C2×#57711yescharacteristic
876C2×C79#358611yescharacteristic
877D79—41no—
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×SD16D7911yescharacteristic, complemented
893#3270—791no—
894#3270—791no—
895#3266—791no—
896#3266—791no—
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×#137—791no—
913C22×Q16—791no—
914C22×SD16—791no—
915C22×SD16C2×D7911yescharacteristic
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—791no—
937#546—1581no—
938#546—1581no—
939D42—791no—
940D42C2×D7911yescharacteristic
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#497—791no—
966#492—791no—
967#492C2×D7911yescharacteristic
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#468—791no—
994#467—791no—
995#467—791no—
996#465—791no—
997#465—791no—
998#465—791no—
999#465—791no—
1000#465C2×D7911yescharacteristic
1001#465C2×D7911yescharacteristic, complemented
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#464—791no—
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#460C2×D7911yescharacteristic
1032#452—791no—
1033#452—791no—
1034#452—791no—
1035#452—791no—
1036#451—791no—
1037#451—791no—
1038#451—791no—
1039#451—791no—
1040#450—791no—
1041#450—791no—
1042#450—791no—
1043#450—791no—
1044#450C2×D7911yescharacteristic
1045#450C2×D7911yescharacteristic, complemented
1046#448—791no—
1047#448—791no—
1048#448C2×D7911yescharacteristic
1049#448C2×D7911yescharacteristic, complemented
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#440—791no—
1060C4×Q16—791no—
1061C4×Q16—791no—
1062C4×SD16—791no—
1063C4×SD16C2×D7911yescharacteristic, complemented
1064#435—791no—
1065#435—791no—
1066#435—791no—
1067#435—791no—
1068C8×D4—791no—
1069C8×D4C2×D7911yescharacteristic, complemented
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—791no—
1084C2×#41—1581no—
1085C22×Q8—791no—
1086C22×Q8—791no—
1087C22×Q8C22×D7911yescharacteristic
1088C22×Q8C22×D7911yescharacteristic
1089C22×D4—21no—
1090C22×D4—791no—
1091C22×D4—1581no—
1092C22×D4C22×D7911yescharacteristic
1093C22×D4C22×D7911yescharacteristic
1094#137—3162no—
1095#137—3162no—
1096C2×Q16—3162no—
1097C2×Q16—791no—
1098C2×Q16—791no—
1099C2×Q16—791no—
1100C2×Q16—791no—
1101C2×Q16—791no—
1102C2×Q16—791no—
1103C2×Q16—791no—
1104C2×Q16—791no—
1105C2×SD16—42no—
1106C2×SD16—42no—
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×SD16C22×D7911yescharacteristic
1116C2×SD16C22×D7911yescharacteristic
1117C2×SD16C22×D7911yescharacteristic
1118C2×SD16C22×D7911yescharacteristic
1119C2×SD16C22×D7911yescharacteristic
1120C2×SD16C22×D7911yescharacteristic
1121C2×SD16C22×D7911yescharacteristic
1122C2×SD16C22×D7911yescharacteristic
1123C2×SD16C22×D7911yescharacteristic
1124C2×M16—791no—
1125C2×M16—791no—
1126C22×C8—791no—
1127C22×C8—791no—
1128C22×C8C22×D7911yescharacteristic
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#127C22×D7911yescharacteristic
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—791no—
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#124—1581no—
1186#123—791no—
1187#123—791no—
1188#123—1581no—
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—791no—
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⋊Q8—1581no—
1216C22⋊Q8C22×D7911yescharacteristic
1217C22⋊Q8C22×D7911yescharacteristic
1218#121—21no—
1219#121—791no—
1220#121—791no—
1221#121—791no—
1222#121—1581no—
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#121C22×D7911yescharacteristic
1233#121C22×D7911yescharacteristic
1234#120—21no—
1235#120—21no—
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—1581no—
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#107—791no—
1305#106—791no—
1306#106—791no—
1307#106—791no—
1308#106C22×D7911yescharacteristic
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#103—791no—
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#102C22×D7911yescharacteristic
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#97—791no—
1361C4×C8—791no—
1362C4×C8C22×D7911yescharacteristic
1363C24—21no—
1364C24—21no—
1365C24—1581no—
1366#41—3161no—
1367#41—3161no—
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—791no—
1384C2×Q8—1581no—
1385C2×Q8—1581no—
1386C2×Q8—1581no—
1387C2×Q8—1582no—
1388C2×Q8—1581no—
1389C2×Q8C23×D7911yescharacteristic
1390C2×Q8C23×D7911yescharacteristic
1391C2×Q8C23×D7911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—82no—
1403C2×D4—3161no—
1404C2×D4—3161no—
1405C2×D4—791no—
1406C2×D4—791no—
1407C2×D4—791no—
1408C2×D4—6322no—
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×D4D4×D7911yescharacteristic
1419C2×D4C23×D7911yescharacteristic
1420C2×D4C23×D7911yescharacteristic
1421C2×D4C23×D7911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—791no—
1426C22×C4—791no—
1427C22×C4—791no—
1428C22×C4—1581no—
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—3161no—
1439Q16—3161no—
1440Q16—3161no—
1441Q16—3161no—
1442Q16—3161no—
1443Q16—3161no—
1444Q16—1582no—
1445Q16—1582no—
1446SD16—22no—
1447SD16—22no—
1448SD16—22no—
1449SD16—41no—
1450SD16—41no—
1451SD16—41no—
1452SD16—41no—
1453SD16—41no—
1454SD16—41no—
1455SD16—3161no—
1456SD16—3161no—
1457SD16—3161no—
1458SD16—3161no—
1459SD16—3161no—
1460SD16—3161no—
1461SD16—1582no—
1462M16—3161no—
1463M16—3161no—
1464C2×C8—41no—
1465C2×C8—41no—
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—791no—
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—1581no—
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—791no—
1531C22⋊C4—791no—
1532C22⋊C4—791no—
1533C22⋊C4—791no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—1581no—
1539C22⋊C4—1581no—
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—21no—
1588C23—42no—
1589C23—81no—
1590C23—81no—
1591C23—81no—
1592C23—81no—
1593C23—81no—
1594C23—791no—
1595C23—6321no—
1596C23—6321no—
1597C23—6321no—
1598C23—1581no—
1599C23C2×D4×D7911yescharacteristic
1600C23C2×D4×D7911yescharacteristic
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—42no—
1607Q8—42no—
1608Q8—3162no—
1609Q8—3161no—
1610Q8—3162no—
1611Q8—6321no—
1612Q8—6321no—
1613Q8—1581no—
1614Q8—1581no—
1615Q8—1581no—
1616Q8—1581no—
1617Q8—1581no—
1618Q8—1581no—
1619Q8#1457920612yes—
1620D4—22no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—81no—
1632D4—81no—
1633D4—3162no—
1634D4—3161no—
1635D4—6321no—
1636D4—6321no—
1637D4—6321no—
1638D4—6321no—
1639D4—6321no—
1640D4—6321no—
1641D4—6321no—
1642D4—6321no—
1643D4—1582no—
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—42no—
1656C2×C4—42no—
1657C2×C4—81no—
1658C2×C4—3162no—
1659C2×C4—3162no—
1660C2×C4—3161no—
1661C2×C4—791no—
1662C2×C4—791no—
1663C2×C4—791no—
1664C2×C4—791no—
1665C2×C4—791no—
1666C2×C4—791no—
1667C2×C4—791no—
1668C2×C4—6321no—
1669C2×C4—6321no—
1670C2×C4—6321no—
1671C2×C4—6321no—
1672C2×C4—6321no—
1673C2×C4—6321no—
1674C2×C4—1581no—
1675C2×C4—1581no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1581no—
1681C2×C4—1582no—
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—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—162no—
1712C22—162no—
1713C22—3161no—
1714C22—3161no—
1715C22—3161no—
1716C22—1581no—
1717C22—1581no—
1718C22—1581no—
1719C22—12642no—
1720C22#1909936912yes—
1721C22C22×D4×D7911yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—22no—
1725C4—21no—
1726C4—21no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—3161no—
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—22no—
1748C2—41no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2—3161no—
1753C2—6321no—
1754C2#2377706011yescharacteristic
1755C2C2×#1909936911yescharacteristic
1756C2#2377818211yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingD4×SD16×C79C2
socleC22×C79C23×D4
prime radical#23777914C2
hypercenterD4×SD16D79
hypocenterC79#62019
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ D4×SD16

Complements

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

NH ≅ G/Ntype
2. #23777487C2semidirect
3. #23776458C2semidirect
4. #23776448C2semidirect
5. #23776164C2semidirect
6. #23776161C2semidirect
7. #23775442C2semidirect
8. #23775429C2semidirect
9. #23775425C2semidirect
10. #23775421C2semidirect
11. #23775293C2semidirect
12. #23775289C2semidirect
13. SD16×C22⋊D79C2semidirect
14. #23774971C2semidirect
15. #23774963C2semidirect
16. #23774913C2semidirect
17. #23774910C2semidirect
18. #23774822C2semidirect
19. #23774819C2semidirect
20. #23774711C2semidirect
21. #23774468C2semidirect
22. #23774465C2semidirect
23. #23774400C2semidirect
24. #23773625C2semidirect
25. #23773622C2semidirect
26. #23773517C2semidirect
27. #23772918C2semidirect
28. #23772916C2semidirect
29. C2×#19098783C2semidirect
30. #23772533C2semidirect
31. D4×SD16×C79C2semidirect
32. C2×#14579192C22semidirect
33. C2×#14579190C22semidirect
34. C22×#11929614C22semidirect
35. C2×SD16×D79C22semidirect
40. #19099289C22semidirect
42. #19099288C22semidirect
44. #19099284C22semidirect
46. #19099255C22semidirect
48. #19099253C22semidirect
49. Q8×C22⋊D79C22semidirect
50. Q8×C22⋊D79C22semidirect
61. #19099174C22semidirect
63. #19099173C22semidirect
71. #19099115C22semidirect
76. #19099041C22semidirect
77. #19099039C22semidirect
78. C2×Q8×Dic79C22semidirect
79. #19098955C22semidirect
80. #19098954C22semidirect
81. #19098954C22semidirect
82. #19098954C22semidirect
86. #19098921C22semidirect
87. #19098921C22semidirect
88. #19098918C22semidirect
89. #19098916C22semidirect
90. #19098907C22semidirect
91. #19098905C22semidirect
94. #19098877C22semidirect
95. #19098874C22semidirect
96. #19098873C22semidirect
97. #19098871C22semidirect
98. #19098863C22semidirect
99. #19098861C22semidirect
100. #19098856C22semidirect
101. #19098856C22semidirect
102. #19098852C22semidirect
103. #19098851C22semidirect
104. #19098847C22semidirect
105. #19098846C22semidirect
106. #19098820C22semidirect
107. #19098819C22semidirect
110. #19098804C22semidirect
111. #19098803C22semidirect
112. #19098794C22semidirect
113. #19098792C22semidirect
114. #19098790C22semidirect
116. #19098786C22semidirect
117. #19098785C22semidirect
118. #19098784C22semidirect
119. #19098784C22semidirect
120. #19098783C22semidirect
121. #19098783C22semidirect
122. #19098783C22semidirect
123. #19098783C22semidirect
124. #19098783C22semidirect
125. #19098783C22semidirect
126. #19098783C22semidirect
127. #19098783C22semidirect
128. #19098783C22semidirect
129. #19098783C22semidirect
130. #19098783C22semidirect
131. #19098783C22semidirect
132. #19098772C22semidirect
133. #19098770C22semidirect
134. #19098767C22semidirect
135. #19098766C22semidirect
136. #19098766C22semidirect
137. #19098762C22semidirect
140. #19098761C22semidirect
141. #19098761C22semidirect
142. #19098761C22semidirect
144. #19098727C22semidirect
145. #19098723C22semidirect
146. #19098722C22semidirect
147. #19098722C22semidirect
148. #19098721C22semidirect
149. #19098720C22semidirect
150. #19098719C22semidirect
151. #19098718C22semidirect
153. #19098714C22semidirect
154. #19098712C22semidirect
155. #19098712C22semidirect
156. #19098702C22semidirect
158. #19098693C22semidirect
159. #19098692C22semidirect
160. #19098668C22semidirect
161. #19098667C22semidirect
162. #19098666C22semidirect
163. #19098666C22semidirect
164. #19098664C22semidirect
165. #19098664C22semidirect
166. #19098664C22semidirect
167. #19098663C22semidirect
168. C4×Dic316C22semidirect
169. #19098655C22semidirect
170. SD16×Dic79C22semidirect
171. #19098637C22semidirect
172. #19098635C22semidirect
173. #19098634C22semidirect
174. #19098631C22semidirect
175. C8×C22⋊D79C22semidirect
176. #19098622C22semidirect
177. #19098621C22semidirect
178. #19098617C22semidirect
179. #19098589C22semidirect
180. #19098588C22semidirect
181. C2×Dic79⋊C8C22semidirect
182. #19098568C22semidirect
183. #19098566C22semidirect
184. #19098560C22semidirect
185. #19098556C22semidirect
186. C2×#14579086C22semidirect
189. C22×SD16×C79C22semidirect
190. D4×Q8×C79C22semidirect
194. #465×C79C22semidirect
195. #461×C79C22semidirect
198. #450×C79C22semidirect
200. #448×C79C22semidirect
201. C4×SD16×C79C22semidirect
202. C8×D4×C79C22semidirect
892. D4×SD16D79semidirect
910. C79#62019semidirect
916. C22×SD16C2×D79semidirect
932. D4×Q8C2×D79semidirect
1001. #465C2×D79semidirect
1023. #461C2×D79semidirect
1045. #450C2×D79semidirect
1049. #448C2×D79semidirect
1063. C4×SD16C2×D79semidirect
1069. C8×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779142
#237774872
#237764582
#237764482
#237761642
#237761612
#237754422
#237754292
#237754252
#237754212
#237752932
#237752892
SD16×C22⋊D792
#237749712
#237749632
#237749132
#237749102
#237748222
#237748192
#237747112
#237744682
#237744652
#237744002
#237736252
#237736222
#237735172
#237729182
#237729162
C2×#190987832
#237725332
D4×SD16×C792
#6201979