Finite Group Databasebeta

← #35181815

Subgroups — #35181815

Order 20224.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777959C211yesmaximal, characteristic, complemented
2#23777445C211yesmaximal, characteristic, complemented
3#23776480C211yesmaximal, characteristic, complemented
4#23776479C211yesmaximal, characteristic, complemented
5#23776117C211yesmaximal, characteristic, complemented
6#23776115C211yesmaximal, characteristic, complemented
7#23775477C211yesmaximal, characteristic, complemented
8#23775392C211yesmaximal, characteristic, complemented
9#23775389C211yesmaximal, characteristic, complemented
10#23775274C211yesmaximal, characteristic, complemented
11#23775270C211yesmaximal, characteristic, complemented
12#23775081C211yesmaximal, characteristic, complemented
13#23775078C211yesmaximal, characteristic, complemented
14#23774962C211yesmaximal, characteristic, complemented
15#23774948C211yesmaximal, characteristic, complemented
16#23774915C211yesmaximal, characteristic, complemented
17#23774907C211yesmaximal, characteristic, complemented
18#23774860C211yesmaximal, characteristic, complemented
19#23774857C211yesmaximal, characteristic, complemented
20#23774741C211yesmaximal, characteristic, complemented
21#23774513C211yesmaximal, characteristic, complemented
22#23774510C211yesmaximal, characteristic, complemented
23#23774400C211yesmaximal, characteristic, complemented
24#23773660C211yesmaximal, characteristic, complemented
25#23773657C211yesmaximal, characteristic, complemented
26#23773496C211yesmaximal, characteristic, complemented
27#23772953C211yesmaximal, characteristic, complemented
28#23772949C211yesmaximal, characteristic, complemented
29C2×#19098777C211yesmaximal, characteristic, complemented
30#23772540C211yesmaximal, characteristic, complemented
31C79×#3314C211yesmaximal, characteristic, complemented
32C2×#14579194C2211yescharacteristic, complemented
33C2×#14579193C2211yescharacteristic, complemented
34C2×#14579182C2211yescharacteristic
35C2×#14579181C2211yescharacteristic
36C22×#11929613C2211yescharacteristic
37C22×#11929609C2211yescharacteristic
38#19099316—21no—
39#19099308—21no—
40#19099285C2211yescharacteristic, complemented
41#19099283C2211yescharacteristic, complemented
42#19099282C2211yescharacteristic, complemented
43#19099268C2211yescharacteristic
44#19099245—21no—
45#19099244—21no—
46#19099242—21no—
47#19099240—21no—
48#19099239—21no—
49D4×Dic158C2211yescharacteristic
50#19099228C2211yescharacteristic, complemented
51#19099226C2211yescharacteristic
52#19099223—21no—
53#19099220C2211yescharacteristic, complemented
54#19099219C2211yescharacteristic, complemented
55#19099215C2211yescharacteristic, complemented
56#19099214C2211yescharacteristic, complemented
57#19099209C2211yescharacteristic
58#19099207C2211yescharacteristic
59#19099204C2211yescharacteristic
60#19099189—21no—
61#19099187C2211yescharacteristic, complemented
62#19099186C2211yescharacteristic, complemented
63#19099181—21no—
64#19099180—21no—
65#19099180C2211yescharacteristic, complemented
66#19099178C2211yescharacteristic, complemented
67#19099161—21no—
68#19099159—21no—
69#19099148—21no—
70#19099134C2211yescharacteristic, complemented
71#19099133C2211yescharacteristic, complemented
72#19099115C2211yescharacteristic
73#19099115C2211yescharacteristic
74#19099093C2211yescharacteristic
75C2×#14579148C2211yescharacteristic
76#19099072—21no—
77C22⋊Q8×D79—21no—
78#19099045C2211yescharacteristic, complemented
79#19099044C2211yescharacteristic, complemented
80C2×#14579123C2211yescharacteristic
81#19098957C2211yescharacteristic, complemented
82#19098956C2211yescharacteristic, complemented
83#19098954C2211yescharacteristic, complemented
84#19098954C2211yescharacteristic, complemented
85#19098945C2211yescharacteristic
86#19098944C2211yescharacteristic
87#19098921C2211yescharacteristic, complemented
88#19098921C2211yescharacteristic, complemented
89#19098921C2211yescharacteristic, complemented
90#19098915C2211yescharacteristic, complemented
91#19098912C2211yescharacteristic, complemented
92#19098900C2211yescharacteristic, complemented
93#19098898C2211yescharacteristic
94#19098898C2211yescharacteristic, complemented
95#19098875C2211yescharacteristic, complemented
96#19098857C2211yescharacteristic, complemented
97#19098857C2211yescharacteristic, complemented
98#19098857C2211yescharacteristic, complemented
99#19098856C2211yescharacteristic, complemented
100#19098856C2211yescharacteristic, complemented
101#19098855C2211yescharacteristic, complemented
102#19098842C2211yescharacteristic, complemented
103#19098842C2211yescharacteristic, complemented
104#19098841C2211yescharacteristic, complemented
105#19098810C2211yescharacteristic, complemented
106#19098809C2211yescharacteristic, complemented
107#19098808C2211yescharacteristic, complemented
108#19098805C2211yescharacteristic, complemented
109#19098804C2211yescharacteristic
110#19098802C2211yescharacteristic
111#19098802C2211yescharacteristic
112#19098802C2211yescharacteristic, complemented
113#19098798C2211yescharacteristic
114#19098797C2211yescharacteristic
115#19098788C2211yescharacteristic, complemented
116#19098786C2211yescharacteristic, complemented
117#19098784C2211yescharacteristic, complemented
118#19098784C2211yescharacteristic, complemented
119#19098784C2211yescharacteristic, complemented
120#19098783C2211yescharacteristic, complemented
121#19098783C2211yescharacteristic, complemented
122#19098780C2211yescharacteristic
123#19098778C2211yescharacteristic
124#19098777C2211yescharacteristic
125#19098777C2211yescharacteristic
126#19098777C2211yescharacteristic
127#19098777C2211yescharacteristic
128#19098777C2211yescharacteristic
129#19098777C2211yescharacteristic
130#19098777C2211yescharacteristic
131#19098777C2211yescharacteristic
132#19098777C2211yescharacteristic
133#19098775C2211yescharacteristic
134#19098773C2211yescharacteristic, complemented
135#19098772C2211yescharacteristic, complemented
136#19098772C2211yescharacteristic, complemented
137#19098772C2211yescharacteristic, complemented
138#19098771C2211yescharacteristic, complemented
139#19098771C2211yescharacteristic, complemented
140#19098769C2211yescharacteristic, complemented
141#19098767C2211yescharacteristic, complemented
142#19098767C2211yescharacteristic, complemented
143#19098767C2211yescharacteristic, complemented
144#19098728C2211yescharacteristic, complemented
145#19098727C2211yescharacteristic, complemented
146#19098726C2211yescharacteristic, complemented
147#19098721C2211yescharacteristic
148#19098720C2211yescharacteristic, complemented
149#19098718C2211yescharacteristic
150#19098718C2211yescharacteristic, complemented
151#19098716C2211yescharacteristic
152#19098714C2211yescharacteristic
153#19098713C2211yescharacteristic
154#19098709C2211yescharacteristic
155#19098708C2211yescharacteristic
156#19098707C2211yescharacteristic
157#19098706C2211yescharacteristic
158#19098704C2211yescharacteristic, complemented
159#19098703C2211yescharacteristic, complemented
160#19098691C2211yescharacteristic, complemented
161#19098690C2211yescharacteristic, complemented
162#19098666C2211yescharacteristic, complemented
163#19098666C2211yescharacteristic, complemented
164#19098665C2211yescharacteristic, complemented
165#19098662C2211yescharacteristic, complemented
166#19098662C2211yescharacteristic, complemented
167#19098662C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169#19098657C2211yescharacteristic, complemented
170C4×#11929614C2211yescharacteristic, complemented
171C4×#11929609C2211yescharacteristic
172#19098643C2211yescharacteristic
173#19098634C2211yescharacteristic
174#19098632C2211yescharacteristic, complemented
175#19098631C2211yescharacteristic, complemented
176D4×C79⋊C8C2211yescharacteristic
177(C22⋊D79)⋊C8C2211yescharacteristic
178#19098625C2211yescharacteristic, complemented
179#19098621C2211yescharacteristic, complemented
180#19098617C2211yescharacteristic
181#19098591C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183C2×Dic79⋊C8C2211yescharacteristic
184#19098561C2211yescharacteristic, complemented
185C2×#14579084C2211yescharacteristic
186C2×#14579084C2211yescharacteristic, complemented
187#103×D79C2211yescharacteristic, complemented
188#554×C79C2211yescharacteristic
189#546×C79C2211yescharacteristic
190#489×C79C2211yescharacteristic, complemented
191#484×C79C2211yescharacteristic
192#480×C79C2211yescharacteristic, complemented
193#474×C79C2211yescharacteristic, complemented
194#468×C79C2211yescharacteristic, complemented
195#467×C79C2211yescharacteristic
196#464×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#450×C79C2211yescharacteristic
199#440×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic
201#417×C79C2211yescharacteristic, complemented
202C2×#102×C79C2211yescharacteristic
203C2×#11929625C2311yescharacteristic
204C2×#11929624—21no—
205C2×#11929624C2311yescharacteristic
206C2×#11929623C2311yescharacteristic
207C22×Dic158C2311yescharacteristic
208C22×Dic158C2311yescharacteristic
209C2×Q8×D79—21no—
210C2×Q8×D79C2311yescharacteristic
211C22×D316C2311yescharacteristic
212C22×C4×D79—21no—
213#14579194—42no—
214#14579193—42no—
215#14579182—42no—
216#14579181—42no—
217C2×Dic316C2311yescharacteristic
218C2×Dic316C2311yescharacteristic
219C2×Dic316C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929614C2311yescharacteristic
222C2×#11929614C2311yescharacteristic
223C2×#11929614C2311yescharacteristic
224C2×#11929613—42no—
225C2×#11929613C2311yescharacteristic
226C2×#11929613C2311yescharacteristic
227C2×#11929613C2311yescharacteristic
228C2×#11929613C2311yescharacteristic
229C2×#11929613C2311yescharacteristic
230C2×#11929613C2311yescharacteristic
231C2×#11929612C2311yescharacteristic
232C2×#11929612C2311yescharacteristic
233C2×#11929611C2311yescharacteristic
234C2×#11929611C2311yescharacteristic
235C2×#11929609—42no—
236C2×#11929609C2311yescharacteristic
237C2×#11929609C2311yescharacteristic
238C2×#11929609C2311yescharacteristic
239C2×#11929609C2311yescharacteristic
240C2×#11929607C2311yescharacteristic
241C22×C79⋊C8C2311yescharacteristic
242C22×C79⋊C8C2311yescharacteristic
243C2×C8×D79C2311yescharacteristic
244#14579161C2311yescharacteristic
245#14579160—21no—
246#14579160—21no—
247#14579160C2311yescharacteristic
248#14579160C2311yescharacteristic
249#14579160C2311yescharacteristic
250#14579159C2311yescharacteristic
251#14579159C2311yescharacteristic
252#14579159C2311yescharacteristic
253#14579156—21no—
254#14579156—21no—
255#14579156—21no—
256#14579156D411yescharacteristic
257#14579155—21no—
258#14579154—21no—
259#14579154—21no—
260#14579154—21no—
261#14579154—21no—
262#14579154—21no—
263#14579154—21no—
264#14579154D411yescharacteristic
265#14579151—21no—
266#14579151—21no—
267#14579151—21no—
268#14579151D411yescharacteristic
269#14579150—21no—
270#14579150C2311yescharacteristic
271#14579149C2311yescharacteristic
272#14579148—21no—
273#14579148—21no—
274#14579148—21no—
275#14579148—21no—
276#14579148C2311yescharacteristic
277#14579148C2311yescharacteristic
278#14579148C2311yescharacteristic
279#14579148C2311yescharacteristic
280#14579148C2311yescharacteristic
281#14579147—21no—
282#14579147—21no—
283#14579147—21no—
284#14579147D411yescharacteristic
285#14579146—21no—
286#14579146—21no—
287#14579146—21no—
288#14579146—21no—
289#14579146—21no—
290#14579145D411yescharacteristic
291#14579144—21no—
292#14579144—21no—
293#14579143—21no—
294#14579143—21no—
295#14579143—21no—
296#14579143—21no—
297#14579142—21no—
298#14579142—21no—
299#14579142—21no—
300#14579142—21no—
301#14579142D411yescharacteristic
302#14579141—21no—
303#14579141C2311yescharacteristic
304#14579141C2311yescharacteristic
305#14579140—21no—
306#14579140—21no—
307#14579140—21no—
308#14579140—21no—
309#14579140—21no—
310#14579140—21no—
311#14579140C2311yescharacteristic
312#14579140C2311yescharacteristic
313#14579140C2311yescharacteristic
314#14579139—21no—
315#14579139—21no—
316#14579139—21no—
317#14579139—21no—
318#14579139—21no—
319#14579139—21no—
320#14579138—21no—
321#14579138—21no—
322#14579138—21no—
323#14579138—21no—
324#14579138—21no—
325#14579138—21no—
326#14579138—21no—
327#14579138—21no—
328#14579138—21no—
329#14579138—21no—
330#14579138D411yescharacteristic
331#14579137—21no—
332#14579137—21no—
333#14579136—21no—
334#14579136C2311yescharacteristic
335#14579135C2311yescharacteristic
336#14579134—21no—
337#14579134—21no—
338#14579133—21no—
339#14579133—21no—
340#14579133D411yescharacteristic
341#14579132—21no—
342#14579132C2311yescharacteristic
343#14579131—21no—
344#14579130—21no—
345#14579129—21no—
346Q8×Dic79C2311yescharacteristic
347Q8×Dic79C2311yescharacteristic
348C4×Dic158C2311yescharacteristic
349C4×Dic158C2311yescharacteristic
350#14579126—21no—
351#14579126—21no—
352#14579126C2311yescharacteristic
353#14579126C2311yescharacteristic
354#14579126C2311yescharacteristic
355#14579126C2311yescharacteristic
356C4×D316—21no—
357C4×D316C2311yescharacteristic
358D4×Dic79—21no—
359D4×Dic79—21no—
360D4×Dic79C2311yescharacteristic
361#14579123—21no—
362#14579123—21no—
363#14579123—21no—
364#14579123C2311yescharacteristic
365#14579123C2311yescharacteristic
366#14579123C2311yescharacteristic
367#14579123C2311yescharacteristic
368#14579123C2311yescharacteristic
369C4×C22⋊D79—21no—
370C4×C22⋊D79—21no—
371C4×C22⋊D79—21no—
372C4×C22⋊D79—21no—
373C4×C22⋊D79C2311yescharacteristic
374C4×C22⋊D79C2311yescharacteristic
375(C22⋊D79)⋊C4—21no—
376#14579120—21no—
377#14579120C2311yescharacteristic
378#14579119—21no—
379#14579118—21no—
380#14579118—21no—
381#14579118C2311yescharacteristic
382#14579117—21no—
383#14579117—21no—
384#14579117—21no—
385C4⋊C4×D79—21no—
386C4⋊C4×D79—21no—
387C4⋊C4×D79—21no—
388C4⋊C4×D79C2311yescharacteristic
389C2×C22⋊Dic79—21no—
390C2×C22⋊Dic79—21no—
391C2×C22⋊Dic79—21no—
392C2×(C2×D79)⋊C4—21no—
393C22⋊C4×D79—21no—
394C22⋊C4×D79—21no—
395C2×C4×Dic79C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579094C2311yescharacteristic
400#14579094C2311yescharacteristic
401C4⋊(C79⋊C8)C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404Dic79⋊C8C2311yescharacteristic
405Dic79⋊C8C2311yescharacteristic
406Dic79⋊C8C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409Dic79⋊C8C2311yescharacteristic
410#14579086C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579086C2311yescharacteristic
414#14579085C2311yescharacteristic
415#14579085C2311yescharacteristic
416#14579084C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579084C2311yescharacteristic
422#14579084C2311yescharacteristic
423#14579084C2311yescharacteristic
424#14579084C2311yescharacteristic
425#14579084C2311yescharacteristic
426#14579083C2311yescharacteristic
427#14579083C2311yescharacteristic
428#14579082C2311yescharacteristic
429#14579082C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436#14579071C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439C4×C79⋊C8C2311yescharacteristic
440C8×Dic79C2311yescharacteristic
441C2×#41×C79C2311yescharacteristic
442C22×D4×C79C2311yescharacteristic
443C2×Q16×C79C2311yescharacteristic
444C2×SD16×C79C2311yescharacteristic
445C2×SD16×C79C2311yescharacteristic
446C2×M16×C79C2311yescharacteristic
447C22×C8×C79C2311yescharacteristic
448C4⋊Q8×C79C2311yescharacteristic
449#125×C79—21no—
450#124×C79C2311yescharacteristic
451#123×C79—21no—
452C22⋊Q8×C79—21no—
453C22⋊Q8×C79—21no—
454C22⋊Q8×C79C2311yescharacteristic
455C22⋊Q8×C79C2311yescharacteristic
456C22⋊Q8×C79C2311yescharacteristic
457#121×C79—21no—
458#121×C79C2311yescharacteristic
459#120×C79—21no—
460C4×Q8×C79C2311yescharacteristic
461C4×D4×C79—21no—
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464C2×C4⋊C4×C79C2311yescharacteristic
465C2×C4⋊C4×C79C2311yescharacteristic
466C2×C22⋊C4×C79—21no—
467#107×C79C2311yescharacteristic
468#107×C79C2311yescharacteristic
469#107×C79C2311yescharacteristic
470C4⋊C8×C79C2311yescharacteristic
471#103×C79C2311yescharacteristic
472#103×C79C2311yescharacteristic
473#103×C79C2311yescharacteristic
474#103×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478#102×C79C2311yescharacteristic
479#102×C79C2311yescharacteristic
480#102×C79C2311yescharacteristic
481C22⋊C8×C79C2311yescharacteristic
482C22⋊C8×C79C2311yescharacteristic
483#97×C79C2311yescharacteristic
484C23×D79—21no—
485#11929625—22no—
486#11929625—41no—
487#11929624—22no—
488#11929624—41no—
489#11929624—82no—
490#11929623—41no—
491#11929623—41no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—21no—
497C2×Dic158—21no—
498C2×Dic158—41no—
499C2×Dic158—41no—
500C2×Dic158—41no—
501C2×Dic158—41no—
502C2×Dic158C2×D411yescharacteristic
503C2×Dic158C2411yescharacteristic
504C2×Dic158C2411yescharacteristic
505C2×Dic158C2411yescharacteristic
506C2×Dic158C2411yescharacteristic
507Q8×D79—41no—
508Q8×D79—41no—
509Q8×D79—82no—
510C2×D316—21no—
511C2×D316—21no—
512C2×D316—22no—
513C2×D316—21no—
514C2×D316—41no—
515C2×D316C2411yescharacteristic
516C2×D316C2411yescharacteristic
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79C2×D411yescharacteristic
522C2×C22⋊D79C2×D411yescharacteristic
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79C2×D411yescharacteristic
528C22×Dic79C2×D411yescharacteristic
529C2×C4×D79—21no—
530C2×C4×D79—21no—
531C2×C4×D79—21no—
532C2×C4×D79—21no—
533C2×C4×D79—21no—
534C2×C4×D79—21no—
535C2×C4×D79—21no—
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—82no—
540C2×C4×D79C2411yescharacteristic
541Dic316—41no—
542Dic316—41no—
543Dic316—41no—
544#11929614—41no—
545#11929614—41no—
546#11929614—41no—
547#11929614—41no—
548#11929613—22no—
549#11929613—22no—
550#11929613—22no—
551#11929613—41no—
552#11929613—41no—
553#11929613—41no—
554#11929612—41no—
555#11929612—41no—
556#11929611—22no—
557#11929611—41no—
558#11929609—22no—
559#11929609—22no—
560#11929609—41no—
561#11929609—41no—
562#11929607—41no—
563C2×C79⋊C8—41no—
564C2×C79⋊C8—41no—
565C2×C79⋊C8C2411yescharacteristic
566C2×C79⋊C8C2411yescharacteristic
567C2×C79⋊C8C2411yescharacteristic
568C2×C79⋊C8C2411yescharacteristic
569C8×D79—41no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79—21no—
575C4⋊Dic79—21no—
576C4⋊Dic79C2×D411yescharacteristic
577C4⋊Dic79C2×D411yescharacteristic
578C4⋊Dic79C2×D411yescharacteristic
579C4⋊Dic79C2411yescharacteristic
580C4⋊Dic79C2411yescharacteristic
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4—21no—
589Dic79⋊C4—21no—
590Dic79⋊C4—21no—
591Dic79⋊C4—21no—
592Dic79⋊C4—21no—
593Dic79⋊C4—21no—
594Dic79⋊C4—21no—
595Dic79⋊C4—21no—
596Dic79⋊C4—21no—
597Dic79⋊C4—21no—
598Dic79⋊C4—21no—
599Dic79⋊C4C2×D411yescharacteristic
600Dic79⋊C4C2×D411yescharacteristic
601Dic79⋊C4C2×D411yescharacteristic
602Dic79⋊C4C2×D411yescharacteristic
603Dic79⋊C4C2×D411yescharacteristic
604Dic79⋊C4C2×D411yescharacteristic
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79—21no—
609C22⋊Dic79—21no—
610C22⋊Dic79—21no—
611C22⋊Dic79—21no—
612C22⋊Dic79—21no—
613C22⋊Dic79—21no—
614C22⋊Dic79—21no—
615C22⋊Dic79—21no—
616C22⋊Dic79—21no—
617C22⋊Dic79—21no—
618C22⋊Dic79—21no—
619C22⋊Dic79—21no—
620C22⋊Dic79C2×D411yescharacteristic
621C22⋊Dic79C2×D411yescharacteristic
622C22⋊Dic79C2×D411yescharacteristic
623C22⋊Dic79C2×D411yescharacteristic
624(C2×D79)⋊C4—21no—
625(C2×D79)⋊C4—21no—
626(C2×D79)⋊C4—21no—
627(C2×D79)⋊C4—21no—
628(C2×D79)⋊C4—21no—
629(C2×D79)⋊C4—21no—
630(C2×D79)⋊C4—21no—
631(C2×D79)⋊C4—21no—
632(C2×D79)⋊C4—21no—
633(C2×D79)⋊C4—21no—
634(C2×D79)⋊C4—21no—
635(C2×D79)⋊C4—21no—
636(C2×D79)⋊C4—21no—
637(C2×D79)⋊C4—21no—
638(C2×D79)⋊C4C2×D411yescharacteristic
639(C2×D79)⋊C4C2×D411yescharacteristic
640(C2×D79)⋊C4C2×D411yescharacteristic
641(C2×D79)⋊C4C2×D411yescharacteristic
642C4×Dic79—21no—
643C4×Dic79—21no—
644C4×Dic79—21no—
645C4×Dic79—21no—
646C4×Dic79—21no—
647C4×Dic79—21no—
648C4×Dic79—21no—
649C4×Dic79C2×D411yescharacteristic
650C4×Dic79C2×D411yescharacteristic
651C4×Dic79C2411yescharacteristic
652C4×Dic79C2411yescharacteristic
653C4×Dic79C2411yescharacteristic
654C24×C79—21no—
655#41×C79—41no—
656#41×C79—41no—
657C2×Q8×C79—21no—
658C2×Q8×C79C2411yescharacteristic
659C2×Q8×C79C2411yescharacteristic
660C2×D4×C79—21no—
661C2×D4×C79—21no—
662C2×D4×C79—21no—
663C2×D4×C79—41no—
664C2×D4×C79—41no—
665C2×D4×C79C2×D411yescharacteristic
666C2×D4×C79C2411yescharacteristic
667C2×D4×C79C2411yescharacteristic
668C22×C4×C79—21no—
669C22×C4×C79—21no—
670C22×C4×C79—21no—
671C22×C4×C79—21no—
672C22×C4×C79C2411yescharacteristic
673C22×C4×C79C2411yescharacteristic
674Q16×C79—41no—
675SD16×C79—41no—
676SD16×C79—41no—
677M16×C79—41no—
678C2×C8×C79—41no—
679C2×C8×C79C2411yescharacteristic
680C2×C8×C79C2411yescharacteristic
681C2×C8×C79C2411yescharacteristic
682C2×C8×C79C2411yescharacteristic
683C4⋊C4×C79—21no—
684C4⋊C4×C79—21no—
685C4⋊C4×C79—21no—
686C4⋊C4×C79—21no—
687C4⋊C4×C79—21no—
688C4⋊C4×C79—21no—
689C4⋊C4×C79—21no—
690C4⋊C4×C79C2×D411yescharacteristic
691C4⋊C4×C79C2411yescharacteristic
692C4⋊C4×C79C2411yescharacteristic
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—42no—
709C23×C79—81no—
710C23×C79—81no—
711C23×C79C22×D411yescharacteristic
712C23×C79C22×D411yescharacteristic
713C22×D79—21no—
714C22×D79—21no—
715C22×D79—42no—
716C22×D79—42no—
717C22×D79—81no—
718C22×D79C22×D411yescharacteristic
719Q8×C79—21no—
720Q8×C79—21no—
721Q8×C79—21no—
722Q8×C79—21no—
723Q8×C79—81no—
724D4×C79—22no—
725D4×C79—21no—
726D4×C79—21no—
727D4×C79—21no—
728D4×C79—21no—
729D4×C79—81no—
730D4×C79—81no—
731D4×C79—81no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—21no—
735C2×C4×C79—21no—
736C2×C4×C79—21no—
737C2×C4×C79—21no—
738C2×C4×C79—21no—
739C2×C4×C79—21no—
740C2×C4×C79—21no—
741C2×C4×C79—21no—
742C2×C4×C79—81no—
743C2×C4×C79—81no—
744C2×C4×C79—81no—
745C2×C4×C79—81no—
746C2×C4×C79C22×D411yescharacteristic
747C2×C4×C79C22×D411yescharacteristic
748C2×C4×C79C22×D411yescharacteristic
749C2×C4×C79C22×D411yescharacteristic
750C2×C4×C79C2511yescharacteristic
751C22⋊D79—22no—
752C22⋊D79—41no—
753C22⋊D79—42no—
754C22⋊D79—81no—
755C22⋊D79—81no—
756C22⋊D79—81no—
757C2×Dic79—22no—
758C2×Dic79—21no—
759C2×Dic79—21no—
760C2×Dic79—21no—
761C2×Dic79—21no—
762C2×Dic79—21no—
763C2×Dic79—21no—
764C2×Dic79—41no—
765C2×Dic79—81no—
766C2×Dic79—81no—
767C2×Dic79—81no—
768C2×Dic79—81no—
769C2×Dic79C22×D411yescharacteristic
770C2×Dic79C22×D411yescharacteristic
771C2×Dic79C22×D411yescharacteristic
772C2×Dic79C22×D411yescharacteristic
773C2×Dic79C22×D411yescharacteristic
774C2×Dic79C22×D411yescharacteristic
775C2×Dic79C22×D411yescharacteristic
776D316—21no—
777D316—21no—
778D316—21no—
779D316—42no—
780D316—42no—
781D316—81no—
782D316H(5,𝔽2)12yes—
783C4×D79—21no—
784C4×D79—21no—
785C4×D79—42no—
786C4×D79—42no—
787C4×D79—42no—
788C4×D79—42no—
789C4×D79—81no—
790C4×D79—81no—
791C4×D79—81no—
792C4×D79—81no—
793C4×D79—81no—
794C4×D79—81no—
795Dic158—21no—
796Dic158—21no—
797Dic158—21no—
798Dic158—21no—
799Dic158—21no—
800Dic158—21no—
801Dic158—21no—
802Dic158—21no—
803Dic158—41no—
804Dic158—42no—
805Dic158—81no—
806Dic158—81no—
807Dic158—81no—
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—162no—
830C22×C79#57812yes—
831C22×C79C23×D411yescharacteristic
832C2×D79—21no—
833C2×D79—22no—
834C2×D79—21no—
835C2×D79—21no—
836C2×D79—41no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—41no—
841C2×D79—84no—
842C4×C79—21no—
843C4×C79—21no—
844C4×C79—21no—
845C4×C79—21no—
846C4×C79—41no—
847C4×C79—41no—
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—
867#62017—791nomaximal, Sylow
868C2×C79—22no—
869C2×C79—41no—
870C2×C79—81no—
871C2×C79—81no—
872C2×C79#348811yescharacteristic
873C2×C79C2×#57811yescharacteristic
874C2×C79#358511yescharacteristic
875D79—41no—
876D79—42no—
877D79—81no—
878#3561—791no—
879#3520—791no—
880#3402—791no—
881#3402—791no—
882#3367—791no—
883#3367—791no—
884#3314—791no—
885#3314D7911yescharacteristic, complemented
886#3308—791no—
887#3308—791no—
888#3299—791no—
889#3299—791no—
890#3280—791no—
891#3280—791no—
892#3269—791no—
893#3269—791no—
894#3266—791no—
895#3266—791no—
896#3262—791no—
897#3262—791no—
898#3249—791no—
899#3225—791no—
900#3225—791no—
901#3215—791no—
902#3124—791no—
903#3124—791no—
904#3110—791no—
905#3046—791no—
906#3046—791no—
907C2×#463—791no—
908#2992—791no—
909C79#6201711yescharacteristic, complemented, Sylow
910C2×#137—791no—
911C2×#137—791no—
912C2×#135—791no—
913C2×#135—791no—
914C22×SD16—791no—
915C22×D8—791no—
916#563—1581no—
917#562—1581no—
918#556—791no—
919#556—791no—
920#556—791no—
921#554—791no—
922#554C2×D7911yescharacteristic
923#552—1581no—
924#551—1581no—
925#551—1581no—
926#551—1581no—
927#551—1581no—
928D4×Q8—791no—
929D4×Q8—791no—
930D4×Q8—791no—
931#548—791no—
932#548—791no—
933#548—1581no—
934#547—791no—
935#547—791no—
936#546—791no—
937#546—791no—
938#546—791no—
939#546C2×D7911yescharacteristic
940#543—1581no—
941#542—791no—
942#542—791no—
943#542—791no—
944#542—791no—
945#542—1581no—
946#542—1581no—
947#539—1581no—
948#539—1581no—
949#538—1581no—
950#536—791no—
951#536—791no—
952#533—791no—
953#533—791no—
954#529—791no—
955C2×#124—791no—
956#525—1581no—
957C2×C22⋊Q8—1581no—
958#520—791no—
959#520—791no—
960C2×C4×D4—791no—
961#497—791no—
962#497—791no—
963#497—791no—
964#497—791no—
965#495—791no—
966#495—791no—
967#489—791no—
968#489—791no—
969#489—791no—
970#489C2×D7911yescharacteristic, complemented
971#487—791no—
972#487—791no—
973#484—791no—
974#484—791no—
975#484—791no—
976#484C2×D7911yescharacteristic
977#480—791no—
978#480C2×D7911yescharacteristic, complemented
979#477—791no—
980#477—791no—
981#477—791no—
982#477—791no—
983#477—791no—
984#477—791no—
985#474—791no—
986#474—791no—
987#474—791no—
988#474C2×D7911yescharacteristic, complemented
989#468—791no—
990#468—791no—
991#468—791no—
992#468C2×D7911yescharacteristic, complemented
993#467—791no—
994#467—791no—
995#467—791no—
996#467—791no—
997#467—791no—
998#467C2×D7911yescharacteristic
999#466—791no—
1000#466—791no—
1001#464—791no—
1002#464—791no—
1003#464—791no—
1004#464—791no—
1005#464—791no—
1006#464—791no—
1007#464—791no—
1008#464C2×D7911yescharacteristic, complemented
1009#463—791no—
1010#463—791no—
1011#463—791no—
1012#463—791no—
1013#463—791no—
1014#463—791no—
1015#463—791no—
1016#463—791no—
1017#463—791no—
1018#463—791no—
1019#463—791no—
1020#463—791no—
1021#462—791no—
1022#462—791no—
1023#462—791no—
1024#462—791no—
1025#462—791no—
1026#462—791no—
1027#461—791no—
1028#461—791no—
1029#461—791no—
1030#461—791no—
1031#452—791no—
1032#452—791no—
1033#452—791no—
1034#452C2×D7911yescharacteristic, complemented
1035#451—791no—
1036#451—791no—
1037#451—791no—
1038#451—791no—
1039#450—791no—
1040#450—791no—
1041#450—791no—
1042#450C2×D7911yescharacteristic
1043#449—791no—
1044#449—791no—
1045#449—791no—
1046#449—791no—
1047#448—791no—
1048#448—791no—
1049#446—791no—
1050#446—791no—
1051#440—791no—
1052#440—791no—
1053#440—791no—
1054#440—791no—
1055#440—791no—
1056#440—791no—
1057#440—791no—
1058#440C2×D7911yescharacteristic, complemented
1059C4×Q16—791no—
1060C4×Q16—791no—
1061C4×D8—791no—
1062C4×D8—791no—
1063#435—791no—
1064#435—791no—
1065#435—791no—
1066#435C2×D7911yescharacteristic
1067C8×D4—791no—
1068C8×D4—791no—
1069#433—791no—
1070#433—791no—
1071#432—791no—
1072#424—791no—
1073#424—791no—
1074C2×C4⋊C8—791no—
1075#417—791no—
1076#417C2×D7911yescharacteristic, complemented
1077C2×#103—791no—
1078C2×#103—791no—
1079C2×#103—791no—
1080C2×#102C2×D7911yescharacteristic
1081C2×#41—791no—
1082C2×#41—791no—
1083C2×#41—791no—
1084C2×#41—1581no—
1085C2×#41C22×D7911yescharacteristic
1086C22×Q8—791no—
1087C22×Q8—791no—
1088C22×Q8—791no—
1089C22×Q8—1581no—
1090C22×D4—791no—
1091C22×D4C22×D7911yescharacteristic
1092C23×C4—1581no—
1093#137—3162no—
1094#137—3162no—
1095#135—3162no—
1096#135—3162no—
1097C2×Q16—791no—
1098C2×Q16—791no—
1099C2×Q16—791no—
1100C2×Q16—791no—
1101C2×Q16—791no—
1102C2×Q16—791no—
1103C2×Q16—791no—
1104C2×Q16C22×D7911yescharacteristic
1105C2×SD16—3162no—
1106C2×SD16—791no—
1107C2×SD16—791no—
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×SD16C22×D7911yescharacteristic
1117C2×SD16C22×D7911yescharacteristic
1118C2×D8—3162no—
1119C2×D8—791no—
1120C2×D8—791no—
1121C2×D8—791no—
1122C2×D8—791no—
1123C2×M16—791no—
1124C2×M16C22×D7911yescharacteristic
1125C22×C8—791no—
1126C22×C8—791no—
1127C22×C8—791no—
1128C22×C8C22×D7911yescharacteristic
1129C4⋊Q8—791no—
1130C4⋊Q8—791no—
1131C4⋊Q8—791no—
1132C4⋊Q8—791no—
1133C4⋊Q8—791no—
1134C4⋊Q8—791no—
1135C4⋊Q8—791no—
1136C4⋊Q8—1581no—
1137C4⋊Q8—1581no—
1138C4⋊Q8C22×D7911yescharacteristic
1139#126—791no—
1140#126—791no—
1141#126—1581no—
1142#126—1581no—
1143#126—1581no—
1144#126—1581no—
1145#126—1581no—
1146#126—1581no—
1147#126—1581no—
1148#126—1581no—
1149#126—1581no—
1150#126—1581no—
1151#125—21no—
1152#125—791no—
1153#125—1581no—
1154#125—1581no—
1155#125—1581no—
1156#124—791no—
1157#124—791no—
1158#124—791no—
1159#124—791no—
1160#124—791no—
1161#124—791no—
1162#124—791no—
1163#124—791no—
1164#124—1581no—
1165#124—1581no—
1166#124—1581no—
1167#124—1581no—
1168#124—1581no—
1169#124—1581no—
1170#124—1581no—
1171#124—1581no—
1172#124C22×D7911yescharacteristic
1173#123—21no—
1174#123—791no—
1175#123—791no—
1176#123—1581no—
1177#123—1581no—
1178#123—1581no—
1179#123—1581no—
1180#123—1581no—
1181#123—1581no—
1182#123—1581no—
1183#123—1581no—
1184#123—1581no—
1185#123—1581no—
1186#123—1581no—
1187#123—1581no—
1188#123—1581no—
1189#123—1581no—
1190#123—1581no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—791no—
1194C22⋊Q8—791no—
1195C22⋊Q8—791no—
1196C22⋊Q8—791no—
1197C22⋊Q8—791no—
1198C22⋊Q8—791no—
1199C22⋊Q8—1581no—
1200C22⋊Q8—1581no—
1201C22⋊Q8—1581no—
1202C22⋊Q8—1581no—
1203C22⋊Q8—1581no—
1204C22⋊Q8—1581no—
1205C22⋊Q8—1581no—
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⋊Q8—1581no—
1216C22⋊Q8—1581no—
1217C22⋊Q8—1581no—
1218C22⋊Q8—1581no—
1219C22⋊Q8—1581no—
1220C22⋊Q8—1581no—
1221C22⋊Q8—1581no—
1222C22⋊Q8—1581no—
1223C22⋊Q8—1581no—
1224C22⋊Q8C22×D7911yescharacteristic
1225C22⋊Q8C22×D7911yescharacteristic
1226C22⋊Q8C22×D7911yescharacteristic
1227#121—21no—
1228#121—791no—
1229#121—791no—
1230#121—791no—
1231#121—791no—
1232#121—1581no—
1233#121—1581no—
1234#121—1581no—
1235#121—1581no—
1236#121—1581no—
1237#121—1581no—
1238#121C22×D7911yescharacteristic
1239#120—21no—
1240#120—1581no—
1241#120—1581no—
1242#120—1581no—
1243C4×Q8—791no—
1244C4×Q8—791no—
1245C4×Q8—791no—
1246C4×Q8—791no—
1247C4×Q8—791no—
1248C4×Q8—791no—
1249C4×Q8—791no—
1250C4×Q8—791no—
1251C4×Q8—1581no—
1252C4×Q8—1581no—
1253C4×Q8C22×D7911yescharacteristic
1254C4×D4—21no—
1255C4×D4—791no—
1256C4×D4—791no—
1257C4×D4—791no—
1258C4×D4—791no—
1259C4×D4—791no—
1260C4×D4—791no—
1261C4×D4—791no—
1262C4×D4—791no—
1263C4×D4—791no—
1264C4×D4—1581no—
1265C4×D4—1581no—
1266C4×D4—1581no—
1267C4×D4—1581no—
1268C4×D4—1581no—
1269C4×D4—1581no—
1270C4×D4—1581no—
1271C4×D4—1581no—
1272C4×D4—1581no—
1273C4×D4—1581no—
1274C4×D4—1581no—
1275C4×D4C22×D7911yescharacteristic
1276C4×D4C22×D7911yescharacteristic
1277#117—791no—
1278#117—791no—
1279#117—1581no—
1280#117—1581no—
1281#117—1581no—
1282#117—1581no—
1283#117—1581no—
1284#117—1581no—
1285#117—1581no—
1286C2×C4⋊C4—791no—
1287C2×C4⋊C4—1581no—
1288C2×C4⋊C4—1581no—
1289C2×C4⋊C4—1581no—
1290C2×C4⋊C4C22×D7911yescharacteristic
1291C2×C4⋊C4C22×D7911yescharacteristic
1292C2×C22⋊C4—21no—
1293C2×C22⋊C4—1581no—
1294C2×C22⋊C4—1581no—
1295C2×C22⋊C4—1581no—
1296C2×C22⋊C4—1581no—
1297C2×C22⋊C4—1581no—
1298C2×C22⋊C4—1581no—
1299C2×C42—791no—
1300#107—791no—
1301#107—791no—
1302#107—791no—
1303#107—791no—
1304#107—791no—
1305#107C22×D7911yescharacteristic
1306#107C22×D7911yescharacteristic
1307#107C22×D7911yescharacteristic
1308C4⋊C8—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⋊C8C22×D7911yescharacteristic
1318#103—791no—
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#103—791no—
1333#103—791no—
1334#103C22×D7911yescharacteristic
1335#103C22×D7911yescharacteristic
1336#103C22×D7911yescharacteristic
1337#103C22×D7911yescharacteristic
1338#102—791no—
1339#102—791no—
1340#102—791no—
1341#102—791no—
1342#102—791no—
1343#102—791no—
1344#102C22×D7911yescharacteristic
1345#102C22×D7911yescharacteristic
1346#102C22×D7911yescharacteristic
1347#102C22×D7911yescharacteristic
1348#102C22×D7911yescharacteristic
1349#102C22×D7911yescharacteristic
1350C22⋊C8—791no—
1351C22⋊C8—791no—
1352C22⋊C8—791no—
1353C22⋊C8—791no—
1354C22⋊C8C22×D7911yescharacteristic
1355C22⋊C8C22×D7911yescharacteristic
1356#97—791no—
1357#97—791no—
1358#97—791no—
1359#97C22×D7911yescharacteristic
1360C4×C8—791no—
1361C4×C8—791no—
1362C24—21no—
1363C24—1581no—
1364#41—41no—
1365#41—41no—
1366#41—3161no—
1367#41—3161no—
1368#41—3161no—
1369#41—3161no—
1370#41—6322no—
1371#41—1582no—
1372#41—1582no—
1373C2×Q8—21no—
1374C2×Q8—3161no—
1375C2×Q8—3161no—
1376C2×Q8—3161no—
1377C2×Q8—3161no—
1378C2×Q8—3161no—
1379C2×Q8—3161no—
1380C2×Q8—791no—
1381C2×Q8—791no—
1382C2×Q8—791no—
1383C2×Q8—791no—
1384C2×Q8—791no—
1385C2×Q8—6322no—
1386C2×Q8—1581no—
1387C2×Q8—1581no—
1388C2×Q8—1581no—
1389C2×Q8—1581no—
1390C2×Q8—1581no—
1391C2×Q8—1581no—
1392C2×Q8C23×D7911yescharacteristic
1393C2×Q8C23×D7911yescharacteristic
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—3161no—
1400C2×D4—791no—
1401C2×D4—791no—
1402C2×D4—791no—
1403C2×D4—791no—
1404C2×D4—1581no—
1405C2×D4—1582no—
1406C2×D4—1581no—
1407C2×D4—1581no—
1408C2×D4—1581no—
1409C2×D4—1581no—
1410C2×D4—1581no—
1411C2×D4—1581no—
1412C2×D4D4×D7911yescharacteristic
1413C2×D4C23×D7911yescharacteristic
1414C2×D4C23×D7911yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—791no—
1420C22×C4—791no—
1421C22×C4—791no—
1422C22×C4—6322no—
1423C22×C4—1581no—
1424C22×C4—1581no—
1425C22×C4—1581no—
1426C22×C4—1581no—
1427C22×C4—1581no—
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×C4—1581no—
1437C22×C4C23×D7911yescharacteristic
1438C22×C4C23×D7911yescharacteristic
1439Q16—41no—
1440Q16—3161no—
1441Q16—3161no—
1442Q16—3161no—
1443Q16—3161no—
1444Q16—3161no—
1445Q16—3161no—
1446Q16—3161no—
1447SD16—41no—
1448SD16—41no—
1449SD16—3161no—
1450SD16—3161no—
1451SD16—3161no—
1452SD16—3161no—
1453SD16—3161no—
1454SD16—3161no—
1455SD16—1582no—
1456SD16—1582no—
1457SD16—1582no—
1458SD16—1582no—
1459D8—3161no—
1460D8—3161no—
1461D8—1582no—
1462D8—1582no—
1463M16—41no—
1464M16—3161no—
1465C2×C8—41no—
1466C2×C8—3161no—
1467C2×C8—3161no—
1468C2×C8—3161no—
1469C2×C8—791no—
1470C2×C8—791no—
1471C2×C8—791no—
1472C2×C8—791no—
1473C2×C8C23×D7911yescharacteristic
1474C2×C8C23×D7911yescharacteristic
1475C2×C8C23×D7911yescharacteristic
1476C2×C8C23×D7911yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
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⋊C4D4×D7911yescharacteristic
1520C4⋊C4C23×D7911yescharacteristic
1521C4⋊C4C23×D7911yescharacteristic
1522C4⋊C4C23×D7911yescharacteristic
1523C4⋊C4C23×D7911yescharacteristic
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—791no—
1532C22⋊C4—791no—
1533C22⋊C4—791no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
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⋊C4—1581no—
1564C22⋊C4—1581no—
1565C22⋊C4—1581no—
1566C22⋊C4—1581no—
1567C22⋊C4—1581no—
1568C22⋊C4D4×D7911yescharacteristic
1569C22⋊C4D4×D7911yescharacteristic
1570C42—21no—
1571C42—791no—
1572C42—791no—
1573C42—791no—
1574C42—791no—
1575C42—791no—
1576C42—1581no—
1577C42—1581no—
1578C42—1581no—
1579C42—1581no—
1580C42—1581no—
1581C42—1581no—
1582C42—1581no—
1583C42C23×D7911yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—81no—
1588C23—81no—
1589C23—3162no—
1590C23—3162no—
1591C23—791no—
1592C23—6321no—
1593C23—1581no—
1594C23—1581no—
1595C23C2×D4×D7911yescharacteristic
1596C23C2×D4×D7911yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—81no—
1602Q8—3161no—
1603Q8—3162no—
1604Q8—6321no—
1605Q8—6321no—
1606Q8—6321no—
1607Q8—6321no—
1608Q8—6321no—
1609Q8—1581no—
1610Q8—1581no—
1611Q8—1581no—
1612Q8—1581no—
1613Q8—1581no—
1614Q8—1581no—
1615Q8—1581no—
1616Q8—1581no—
1617D4—22no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—3162no—
1626D4—3162no—
1627D4—3162no—
1628D4—3161no—
1629D4—792no—
1630D4—6321no—
1631D4—6321no—
1632D4—6321no—
1633D4—6321no—
1634D4—1582no—
1635D4—1581no—
1636D4—1581no—
1637D4—1581no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—81no—
1652C2×C4—3162no—
1653C2×C4—3162no—
1654C2×C4—3162no—
1655C2×C4—3162no—
1656C2×C4—3161no—
1657C2×C4—791no—
1658C2×C4—791no—
1659C2×C4—791no—
1660C2×C4—791no—
1661C2×C4—791no—
1662C2×C4—791no—
1663C2×C4—791no—
1664C2×C4—6321no—
1665C2×C4—6321no—
1666C2×C4—6321no—
1667C2×C4—6321no—
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—1582no—
1681C2×C4—1581no—
1682C2×C4—1581no—
1683C2×C4C2×D4×D7911yescharacteristic
1684C2×C4C2×D4×D7911yescharacteristic
1685C2×C4C2×D4×D7911yescharacteristic
1686C2×C4C2×D4×D7911yescharacteristic
1687C2×C4C24×D7911yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1581no—
1693C8—1581no—
1694C8—1581no—
1695C8—1581no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—162no—
1708C22—3161no—
1709C22—3161no—
1710C22—3161no—
1711C22—3161no—
1712C22—3161no—
1713C22—6324no—
1714C22—1582no—
1715C22—1581no—
1716C22—1581no—
1717C22—1581no—
1718C22#1909937912yes—
1719C22C22×D4×D7911yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—3161no—
1731C4—3161no—
1732C4—3161no—
1733C4—3161no—
1734C4—3161no—
1735C4—3161no—
1736C4—1581no—
1737C4—1581no—
1738C4—1581no—
1739C4—1581no—
1740C4—1581no—
1741C4—1581no—
1742C4—1581no—
1743C4H(5,𝔽2)×D7911yescharacteristic
1744C4#1909939911yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—3162no—
1750C2—3161no—
1751C2—6321no—
1752C2#2377706311yescharacteristic
1753C2C2×#1909937911yescharacteristic
1754C2#2377817511yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3314C2
socleC22×C79C23×D4
hypercenter#3314D79
hypocenterC79#62017
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #23777959C2semidirect
2. #23777445C2semidirect
3. #23776480C2semidirect
4. #23776479C2semidirect
5. #23776117C2semidirect
6. #23776115C2semidirect
7. #23775477C2semidirect
8. #23775392C2semidirect
9. #23775389C2semidirect
10. #23775274C2semidirect
11. #23775270C2semidirect
12. #23775081C2semidirect
13. #23775078C2semidirect
14. #23774962C2semidirect
15. #23774948C2semidirect
16. #23774915C2semidirect
17. #23774907C2semidirect
18. #23774860C2semidirect
19. #23774857C2semidirect
20. #23774741C2semidirect
21. #23774513C2semidirect
22. #23774510C2semidirect
23. #23774400C2semidirect
24. #23773660C2semidirect
25. #23773657C2semidirect
26. #23773496C2semidirect
27. #23772953C2semidirect
28. #23772949C2semidirect
29. C2×#19098777C2semidirect
30. #23772540C2semidirect
31. C79×#3314C2semidirect
32. C2×#14579194C22semidirect
33. C2×#14579193C22semidirect
40. #19099285C22semidirect
41. #19099283C22semidirect
42. #19099282C22semidirect
50. #19099228C22semidirect
53. #19099220C22semidirect
54. #19099219C22semidirect
55. #19099215C22semidirect
56. #19099214C22semidirect
61. #19099187C22semidirect
62. #19099186C22semidirect
65. #19099180C22semidirect
66. #19099178C22semidirect
70. #19099134C22semidirect
71. #19099133C22semidirect
78. #19099045C22semidirect
79. #19099044C22semidirect
81. #19098957C22semidirect
82. #19098956C22semidirect
83. #19098954C22semidirect
84. #19098954C22semidirect
87. #19098921C22semidirect
88. #19098921C22semidirect
89. #19098921C22semidirect
90. #19098915C22semidirect
91. #19098912C22semidirect
92. #19098900C22semidirect
94. #19098898C22semidirect
95. #19098875C22semidirect
96. #19098857C22semidirect
97. #19098857C22semidirect
98. #19098857C22semidirect
99. #19098856C22semidirect
100. #19098856C22semidirect
101. #19098855C22semidirect
102. #19098842C22semidirect
103. #19098842C22semidirect
104. #19098841C22semidirect
105. #19098810C22semidirect
106. #19098809C22semidirect
107. #19098808C22semidirect
108. #19098805C22semidirect
112. #19098802C22semidirect
115. #19098788C22semidirect
116. #19098786C22semidirect
117. #19098784C22semidirect
118. #19098784C22semidirect
119. #19098784C22semidirect
120. #19098783C22semidirect
121. #19098783C22semidirect
134. #19098773C22semidirect
135. #19098772C22semidirect
136. #19098772C22semidirect
137. #19098772C22semidirect
138. #19098771C22semidirect
139. #19098771C22semidirect
140. #19098769C22semidirect
141. #19098767C22semidirect
142. #19098767C22semidirect
143. #19098767C22semidirect
144. #19098728C22semidirect
145. #19098727C22semidirect
146. #19098726C22semidirect
148. #19098720C22semidirect
150. #19098718C22semidirect
158. #19098704C22semidirect
159. #19098703C22semidirect
160. #19098691C22semidirect
161. #19098690C22semidirect
162. #19098666C22semidirect
163. #19098666C22semidirect
164. #19098665C22semidirect
165. #19098662C22semidirect
166. #19098662C22semidirect
167. #19098662C22semidirect
168. #19098660C22semidirect
169. #19098657C22semidirect
170. C4×#11929614C22semidirect
174. #19098632C22semidirect
175. #19098631C22semidirect
178. #19098625C22semidirect
179. #19098621C22semidirect
181. #19098591C22semidirect
182. #19098588C22semidirect
184. #19098561C22semidirect
186. C2×#14579084C22semidirect
187. #103×D79C22semidirect
190. #489×C79C22semidirect
192. #480×C79C22semidirect
193. #474×C79C22semidirect
194. #468×C79C22semidirect
196. #464×C79C22semidirect
197. #452×C79C22semidirect
199. #440×C79C22semidirect
201. #417×C79C22semidirect
885. #3314D79semidirect
909. C79#62017semidirect
970. #489C2×D79semidirect
978. #480C2×D79semidirect
988. #474C2×D79semidirect
992. #468C2×D79semidirect
1008. #464C2×D79semidirect
1034. #452C2×D79semidirect
1058. #440C2×D79semidirect
1076. #417C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779592
#237774452
#237764802
#237764792
#237761172
#237761152
#237754772
#237753922
#237753892
#237752742
#237752702
#237750812
#237750782
#237749622
#237749482
#237749152
#237749072
#237748602
#237748572
#237747412
#237745132
#237745102
#237744002
#237736602
#237736572
#237734962
#237729532
#237729492
C2×#190987772
#237725402
C79×#33142
#6201779