Finite Group Databasebeta

← #35181855

Subgroups — #35181855

Order 20224.

1836 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777909C211yesmaximal, characteristic
2#23777495C211yesmaximal, characteristic, complemented
3#23776456C211yesmaximal, characteristic, complemented
4#23776454C211yesmaximal, characteristic, complemented
5#23776175C211yesmaximal, characteristic, complemented
6#23776167C211yesmaximal, characteristic, complemented
7#23775430C211yesmaximal, characteristic, complemented
8#23775424C211yesmaximal, characteristic, complemented
9#23775422C211yesmaximal, characteristic, complemented
10#23775290C211yesmaximal, characteristic, complemented
11#23775288C211yesmaximal, characteristic, complemented
12#23775094C211yesmaximal, characteristic, complemented
13#23775093C211yesmaximal, characteristic, complemented
14#23774977C211yesmaximal, characteristic, complemented
15#23774968C211yesmaximal, characteristic, complemented
16#23774915C211yesmaximal, characteristic, complemented
17#23774906C211yesmaximal, characteristic, complemented
18#23774821C211yesmaximal, characteristic, complemented
19#23774819C211yesmaximal, characteristic, complemented
20#23774718C211yesmaximal, characteristic, complemented
21#23774470C211yesmaximal, characteristic, complemented
22#23774468C211yesmaximal, characteristic, complemented
23#23774404C211yesmaximal, characteristic, complemented
24#23773632C211yesmaximal, characteristic, complemented
25#23773624C211yesmaximal, characteristic, complemented
26#23773520C211yesmaximal, characteristic, complemented
27#23772924C211yesmaximal, characteristic, complemented
28#23772920C211yesmaximal, characteristic, complemented
29#464×D79C211yesmaximal, characteristic, complemented
30#23772535C211yesmaximal, characteristic, complemented
31C79×#3311C211yesmaximal, characteristic, complemented
32C2×#14579194C2211yescharacteristic, complemented
33C2×#14579191C2211yescharacteristic, complemented
34C2×Q16×D79C2211yescharacteristic, complemented
35C22×#11929613C2211yescharacteristic, complemented
36C22×#11929612C2211yescharacteristic, complemented
37C2×SD16×D79C2211yescharacteristic
38#19099310—21no—
39#19099306—21no—
40#19099296C2211yescharacteristic
41#19099295C2211yescharacteristic
42#19099291C2211yescharacteristic, complemented
43#19099289—21no—
44#19099288C2211yescharacteristic, complemented
45#19099282—21no—
46#19099252C2211yescharacteristic, complemented
47#19099252C2211yescharacteristic, complemented
48#19099249—21no—
49#19099249—21no—
50D4×Dic158C2211yescharacteristic, complemented
51#19099226C2211yescharacteristic, complemented
52#19099226C2211yescharacteristic, complemented
53#19099223C2211yescharacteristic
54#19099220C2211yescharacteristic
55#19099210—21no—
56#19099209C2211yescharacteristic
57#19099203—21no—
58#19099197C2211yescharacteristic
59D4×C22⋊D79C2211yescharacteristic
60#19099186C2211yescharacteristic
61#19099180C2211yescharacteristic
62#19099173C2211yescharacteristic, complemented
63#19099173C2211yescharacteristic, complemented
64#19099170—21no—
65#19099170—21no—
66#19099151—21no—
67#19099149—21no—
68#19099145—21no—
69#19099130C2211yescharacteristic
70#19099127C2211yescharacteristic
71#19099123—21no—
72#19099118C2211yescharacteristic, complemented
73#19099117—21no—
74#19099110C2211yescharacteristic
75#19099095C2211yescharacteristic
76#19099092—21no—
77#124×D79C2211yescharacteristic
78#19099040C2211yescharacteristic, complemented
79#19099040C2211yescharacteristic, complemented
80C4×Q8×D79C2211yescharacteristic, complemented
81#19098958C2211yescharacteristic, complemented
82#19098957C2211yescharacteristic, complemented
83#19098956C2211yescharacteristic, complemented
84#19098954C2211yescharacteristic, complemented
85#19098934C2211yescharacteristic
86#19098934C2211yescharacteristic
87#19098926C2211yescharacteristic
88#19098926C2211yescharacteristic
89#19098925C2211yescharacteristic, complemented
90#19098919C2211yescharacteristic, complemented
91#19098916C2211yescharacteristic, complemented
92#19098904C2211yescharacteristic, complemented
93#19098887C2211yescharacteristic
94#19098878C2211yescharacteristic, complemented
95#19098875C2211yescharacteristic, complemented
96#19098873C2211yescharacteristic, complemented
97#19098872C2211yescharacteristic, complemented
98#19098862C2211yescharacteristic, complemented
99#19098861C2211yescharacteristic, complemented
100#19098857C2211yescharacteristic, complemented
101#19098856C2211yescharacteristic, complemented
102#19098850C2211yescharacteristic, complemented
103#19098847C2211yescharacteristic, complemented
104#19098847C2211yescharacteristic, complemented
105#19098819C2211yescharacteristic, complemented
106#19098809C2211yescharacteristic
107#19098807C2211yescharacteristic
108#19098804C2211yescharacteristic, complemented
109#19098802C2211yescharacteristic, complemented
110#19098794C2211yescharacteristic
111#19098793C2211yescharacteristic, complemented
112#19098793C2211yescharacteristic, complemented
113#19098791C2211yescharacteristic, complemented
114#19098791C2211yescharacteristic, complemented
115#19098788C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098788C2211yescharacteristic, complemented
118#19098788C2211yescharacteristic, complemented
119#19098788C2211yescharacteristic, complemented
120#19098787C2211yescharacteristic, complemented
121#19098786C2211yescharacteristic, complemented
122#19098785C2211yescharacteristic, complemented
123#19098784C2211yescharacteristic, complemented
124#19098784C2211yescharacteristic, complemented
125#19098784C2211yescharacteristic, complemented
126#19098784C2211yescharacteristic, complemented
127#19098784C2211yescharacteristic, complemented
128#19098783C2211yescharacteristic, complemented
129#19098782C2211yescharacteristic, complemented
130#19098772C2211yescharacteristic, complemented
131#19098771C2211yescharacteristic, complemented
132#19098769C2211yescharacteristic, complemented
133#19098768C2211yescharacteristic, complemented
134#19098767C2211yescharacteristic, complemented
135#19098766C2211yescharacteristic, complemented
136#19098762C2211yescharacteristic
137#19098762C2211yescharacteristic
138#19098762C2211yescharacteristic
139#19098762C2211yescharacteristic
140#19098762C2211yescharacteristic, complemented
141#19098762C2211yescharacteristic, complemented
142#19098762C2211yescharacteristic, complemented
143#19098761C2211yescharacteristic, complemented
144#19098727C2211yescharacteristic, complemented
145#19098725C2211yescharacteristic, complemented
146#19098723C2211yescharacteristic, complemented
147#19098721C2211yescharacteristic, complemented
148#19098720C2211yescharacteristic, complemented
149#19098720C2211yescharacteristic, complemented
150#19098718C2211yescharacteristic, complemented
151#19098716C2211yescharacteristic, complemented
152#19098715C2211yescharacteristic
153#19098715C2211yescharacteristic
154#19098714C2211yescharacteristic, complemented
155#19098713C2211yescharacteristic, complemented
156#19098704C2211yescharacteristic
157#19098703C2211yescharacteristic, complemented
158#19098701C2211yescharacteristic
159#19098700C2211yescharacteristic, complemented
160#19098692C2211yescharacteristic, complemented
161#19098691C2211yescharacteristic, complemented
162#19098669C2211yescharacteristic, complemented
163#19098667C2211yescharacteristic, complemented
164#19098665C2211yescharacteristic, complemented
165#19098663C2211yescharacteristic, complemented
166#19098662C2211yescharacteristic, complemented
167#19098661C2211yescharacteristic, complemented
168#19098660C2211yescharacteristic, complemented
169#19098657C2211yescharacteristic, complemented
170#19098655C2211yescharacteristic, complemented
171#19098654C2211yescharacteristic, complemented
172#19098650C2211yescharacteristic, complemented
173#19098637C2211yescharacteristic, complemented
174#19098635C2211yescharacteristic, complemented
175#19098632C2211yescharacteristic, complemented
176C8×C22⋊D79C2211yescharacteristic, complemented
177(C22⋊D79)⋊C8C2211yescharacteristic, complemented
178#19098621C2211yescharacteristic, complemented
179#19098621C2211yescharacteristic, complemented
180#19098618C2211yescharacteristic, complemented
181#19098591C2211yescharacteristic, complemented
182#19098589C2211yescharacteristic, complemented
183C4⋊C8×D79C2211yescharacteristic, complemented
184#19098567C2211yescharacteristic, complemented
185#19098557C2211yescharacteristic, complemented
186#103×D79C2211yescharacteristic, complemented
187#102×D79C2211yescharacteristic
188#556×C79C2211yescharacteristic, complemented
189#546×C79C2211yescharacteristic
190#489×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#482×C79C2211yescharacteristic
193#476×C79C2211yescharacteristic, complemented
194#470×C79C2211yescharacteristic, complemented
195#465×C79C2211yescharacteristic
196#464×C79C2211yescharacteristic, complemented
197#452×C79C2211yescharacteristic, complemented
198#450×C79C2211yescharacteristic, complemented
199#440×C79C2211yescharacteristic, complemented
200#435×C79C2211yescharacteristic, complemented
201#418×C79C2211yescharacteristic, complemented
202#416×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C2×#11929624C2311yescharacteristic
205C22×Dic158C2311yescharacteristic
206C22×Dic158C2311yescharacteristic
207C2×Q8×D79C2311yescharacteristic
208C2×Q8×D79C2311yescharacteristic
209C22×D316C2311yescharacteristic
210C22×C22⋊D79—21no—
211C2×D4×D79—21no—
212C2×D4×D79C2311yescharacteristic
213#14579194—42no—
214#14579191—42no—
215C2×Dic316C2311yescharacteristic
216C2×Dic316C2311yescharacteristic
217C2×Dic316C2311yescharacteristic
218C2×#11929614C2311yescharacteristic
219C2×#11929614C2311yescharacteristic
220C2×#11929614C2311yescharacteristic
221C2×#11929614C2311yescharacteristic
222Q16×D79—42no—
223C2×#11929613—42no—
224C2×#11929613C2311yescharacteristic
225C2×#11929613C2311yescharacteristic
226C2×#11929613C2311yescharacteristic
227C2×#11929613C2311yescharacteristic
228C2×#11929613C2311yescharacteristic
229C2×#11929613C2311yescharacteristic
230C2×#11929612—42no—
231C2×#11929612C2311yescharacteristic
232C2×#11929612C2311yescharacteristic
233C2×#11929612C2311yescharacteristic
234C2×#11929612C2311yescharacteristic
235C2×#11929612C2311yescharacteristic
236C2×#11929612C2311yescharacteristic
237C2×#11929611C2311yescharacteristic
238C2×#11929611C2311yescharacteristic
239SD16×D79—42no—
240C2×#11929608C2311yescharacteristic
241C22×C79⋊C8C2311yescharacteristic
242C2×C8×D79C2311yescharacteristic
243C2×C8×D79C2311yescharacteristic
244#14579161C2311yescharacteristic
245#14579160—21no—
246#14579160—21no—
247#14579160—21no—
248#14579160C2311yescharacteristic
249#14579159—21no—
250#14579159C2311yescharacteristic
251#14579159C2311yescharacteristic
252#14579157C2311yescharacteristic
253#14579157C2311yescharacteristic
254#14579157C2311yescharacteristic
255#14579156—21no—
256#14579154—21no—
257#14579154—21no—
258#14579154—21no—
259#14579154—21no—
260#14579154—21no—
261#14579154—21no—
262#14579154—21no—
263#14579154D411yescharacteristic
264#14579154D411yescharacteristic
265#14579153—21no—
266#14579153—21no—
267#14579153—21no—
268#14579152—21no—
269#14579152—21no—
270#14579152—21no—
271#14579152D411yescharacteristic
272#14579152C2311yescharacteristic
273#14579152C2311yescharacteristic
274#14579151—21no—
275#14579151—21no—
276#14579151—21no—
277#14579151—21no—
278#14579151—21no—
279#14579151—21no—
280#14579150C2311yescharacteristic
281#14579150C2311yescharacteristic
282#14579149C2311yescharacteristic
283#14579148—21no—
284#14579148—21no—
285#14579148D411yescharacteristic
286#14579148C2311yescharacteristic
287#14579148C2311yescharacteristic
288#14579147—21no—
289#14579147—21no—
290#14579147—21no—
291#14579147—21no—
292#14579147—21no—
293#14579147—21no—
294#14579147—21no—
295#14579146—21no—
296#14579145—21no—
297#14579144—21no—
298#14579143—21no—
299#14579143—21no—
300#14579143—21no—
301#14579143—21no—
302#14579143—21no—
303#14579143D411yescharacteristic
304#14579143D411yescharacteristic
305#14579142—21no—
306#14579141—21no—
307#14579141D411yescharacteristic
308#14579141C2311yescharacteristic
309#14579141C2311yescharacteristic
310#14579140—21no—
311#14579140C2311yescharacteristic
312#14579140C2311yescharacteristic
313#14579140C2311yescharacteristic
314#14579139—21no—
315#14579139—21no—
316#14579139—21no—
317#14579138—21no—
318#14579138—21no—
319#14579138—21no—
320#14579138—21no—
321#14579138—21no—
322#14579137—21no—
323#14579136C2311yescharacteristic
324#14579135—21no—
325#14579135—21no—
326#14579135C2311yescharacteristic
327#14579134—21no—
328#14579134—21no—
329#14579134—21no—
330#14579134—21no—
331#14579133—21no—
332#14579132—21no—
333#14579132—21no—
334#14579132—21no—
335#14579132D411yescharacteristic
336#14579132C2311yescharacteristic
337#14579131—21no—
338#14579130—21no—
339#14579130—21no—
340#14579130—21no—
341#14579129—21no—
342#14579129—21no—
343#14579129—21no—
344#14579129—21no—
345#14579129—21no—
346Q8×Dic79—21no—
347Q8×Dic79—21no—
348Q8×Dic79C2311yescharacteristic
349Q8×Dic79C2311yescharacteristic
350C4×Dic158—21no—
351C4×Dic158—21no—
352C4×Dic158—21no—
353C4×Dic158—21no—
354C4×Dic158—21no—
355C4×Dic158—21no—
356C4×Dic158C2311yescharacteristic
357C4×Dic158C2311yescharacteristic
358#14579126—21no—
359#14579126C2311yescharacteristic
360#14579126C2311yescharacteristic
361#14579126C2311yescharacteristic
362#14579126C2311yescharacteristic
363#14579126C2311yescharacteristic
364#14579126C2311yescharacteristic
365#14579126C2311yescharacteristic
366#14579126C2311yescharacteristic
367C4×D316C2311yescharacteristic
368D4×Dic79—21no—
369D4×Dic79C2311yescharacteristic
370#14579123—21no—
371#14579123C2311yescharacteristic
372C4×C22⋊D79—21no—
373C4×C22⋊D79—21no—
374C4×C22⋊D79—21no—
375C4×C22⋊D79C2311yescharacteristic
376C4×C22⋊D79C2311yescharacteristic
377(C22⋊D79)⋊C4—21no—
378(C22⋊D79)⋊C4—21no—
379(C22⋊D79)⋊C4—21no—
380#14579120C2311yescharacteristic
381#14579120C2311yescharacteristic
382#14579119—21no—
383#14579118—21no—
384#14579118—21no—
385#14579117—21no—
386#14579117—21no—
387#14579117—21no—
388#14579117—21no—
389C4⋊C4×D79—21no—
390C4⋊C4×D79C2311yescharacteristic
391C22⋊C4×D79—21no—
392C22⋊C4×D79—21no—
393C22⋊C4×D79—21no—
394C42×D79—21no—
395C42×D79C2311yescharacteristic
396#14579095C2311yescharacteristic
397#14579094C2311yescharacteristic
398#14579094C2311yescharacteristic
399#14579092C2311yescharacteristic
400#14579092C2311yescharacteristic
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#14579083C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579081C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432C22⋊(C79⋊C8)C2311yescharacteristic
433C22⋊(C79⋊C8)C2311yescharacteristic
434(C2×D79)⋊C8C2311yescharacteristic
435(C2×D79)⋊C8C2311yescharacteristic
436#14579072C2311yescharacteristic
437#14579071C2311yescharacteristic
438#14579071C2311yescharacteristic
439C8×Dic79C2311yescharacteristic
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#126×C79—21no—
450#126×C79—21no—
451#124×C79—21no—
452#124×C79C2311yescharacteristic
453#123×C79—21no—
454C22⋊Q8×C79C2311yescharacteristic
455C22⋊Q8×C79C2311yescharacteristic
456C22⋊Q8×C79C2311yescharacteristic
457#121×C79—21no—
458#121×C79C2311yescharacteristic
459#120×C79—21no—
460C4×Q8×C79—21no—
461C4×Q8×C79C2311yescharacteristic
462C4×D4×C79C2311yescharacteristic
463C4×D4×C79C2311yescharacteristic
464#117×C79C2311yescharacteristic
465#117×C79C2311yescharacteristic
466C2×C22⋊C4×C79—21no—
467#107×C79C2311yescharacteristic
468#106×C79C2311yescharacteristic
469#106×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—
485C23×D79—21no—
486#11929624—41no—
487#11929624—41no—
488#11929624—82no—
489C2×Dic158—22no—
490C2×Dic158—22no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—21no—
496C2×Dic158—41no—
497C2×Dic158—41no—
498C2×Dic158C2×D411yescharacteristic
499C2×Dic158C2411yescharacteristic
500C2×Dic158C2411yescharacteristic
501C2×Dic158C2411yescharacteristic
502C2×Dic158C2411yescharacteristic
503Q8×D79—22no—
504Q8×D79—41no—
505Q8×D79—41no—
506Q8×D79—41no—
507C2×D316—21no—
508C2×D316—21no—
509C2×D316—41no—
510C2×D316—41no—
511C2×D316C2411yescharacteristic
512C2×D316C2411yescharacteristic
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—21no—
517C2×C22⋊D79—21no—
518C2×C22⋊D79—21no—
519C2×C22⋊D79—21no—
520C2×C22⋊D79—21no—
521C2×C22⋊D79—21no—
522C2×C22⋊D79—21no—
523C2×C22⋊D79—82no—
524C2×C22⋊D79C2×D411yescharacteristic
525C2×C22⋊D79C2×D411yescharacteristic
526D4×D79—41no—
527D4×D79—41no—
528D4×D79—82no—
529C22×Dic79—21no—
530C22×Dic79—21no—
531C22×Dic79—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×D79C2×D411yescharacteristic
539C2×C4×D79C2×D411yescharacteristic
540C2×C4×D79C2411yescharacteristic
541Dic316—22no—
542Dic316—41no—
543Dic316—41no—
544#11929614—22no—
545#11929614—41no—
546#11929614—41no—
547#11929614—41no—
548#11929613—22no—
549#11929613—22no—
550#11929613—41no—
551#11929613—41no—
552#11929613—41no—
553#11929613—41no—
554#11929612—22no—
555#11929612—22no—
556#11929612—41no—
557#11929612—41no—
558#11929612—41no—
559#11929612—41no—
560#11929611—41no—
561#11929611—41no—
562#11929608—41no—
563C2×C79⋊C8—41no—
564C2×C79⋊C8C2411yescharacteristic
565C2×C79⋊C8C2411yescharacteristic
566C2×C79⋊C8C2411yescharacteristic
567C2×C79⋊C8C2411yescharacteristic
568C8×D79—41no—
569C8×D79—41no—
570C4⋊Dic79—21no—
571C4⋊Dic79—21no—
572C4⋊Dic79—21no—
573C4⋊Dic79—21no—
574C4⋊Dic79—21no—
575C4⋊Dic79—21no—
576C4⋊Dic79—21no—
577C4⋊Dic79—21no—
578C4⋊Dic79C2×D411yescharacteristic
579C4⋊Dic79C2×D411yescharacteristic
580C4⋊Dic79C2×D411yescharacteristic
581C4⋊Dic79C2×D411yescharacteristic
582C4⋊Dic79C2×D411yescharacteristic
583C4⋊Dic79C2411yescharacteristic
584C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
600Dic79⋊C4—21no—
601Dic79⋊C4—21no—
602Dic79⋊C4—21no—
603Dic79⋊C4—21no—
604Dic79⋊C4—21no—
605Dic79⋊C4C2×D411yescharacteristic
606Dic79⋊C4C2×D411yescharacteristic
607Dic79⋊C4C2×D411yescharacteristic
608Dic79⋊C4C2×D411yescharacteristic
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⋊Dic79C2×D411yescharacteristic
619C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
637(C2×D79)⋊C4C2×D411yescharacteristic
638C4×Dic79—21no—
639C4×Dic79—21no—
640C4×Dic79—21no—
641C4×Dic79—21no—
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×C79C2411yescharacteristic
671C22×C4×C79C2411yescharacteristic
672Q16×C79—41no—
673SD16×C79—41no—
674SD16×C79—41no—
675M16×C79—41no—
676C2×C8×C79—41no—
677C2×C8×C79C2411yescharacteristic
678C2×C8×C79C2411yescharacteristic
679C2×C8×C79C2411yescharacteristic
680C2×C8×C79C2411yescharacteristic
681C4⋊C4×C79—21no—
682C4⋊C4×C79—21no—
683C4⋊C4×C79—21no—
684C4⋊C4×C79—21no—
685C4⋊C4×C79—21no—
686C4⋊C4×C79C2×D411yescharacteristic
687C4⋊C4×C79C2411yescharacteristic
688C4⋊C4×C79C2411yescharacteristic
689C4⋊C4×C79C2411yescharacteristic
690C4⋊C4×C79C2411yescharacteristic
691C22⋊C4×C79—21no—
692C22⋊C4×C79—21no—
693C22⋊C4×C79—21no—
694C22⋊C4×C79—21no—
695C22⋊C4×C79—21no—
696C22⋊C4×C79—21no—
697C22⋊C4×C79—21no—
698C22⋊C4×C79—21no—
699C22⋊C4×C79—21no—
700C22⋊C4×C79C2×D411yescharacteristic
701C22⋊C4×C79C2×D411yescharacteristic
702C42×C79—21no—
703C42×C79—21no—
704C42×C79—21no—
705C42×C79C2411yescharacteristic
706C23×C79—21no—
707C23×C79—21no—
708C23×C79—81no—
709C23×C79—81no—
710C23×C79—81no—
711C23×C79C22×D411yescharacteristic
712C23×C79C22×D411yescharacteristic
713C22×D79—21no—
714C22×D79—21no—
715C22×D79—42no—
716C22×D79—81no—
717C22×D79—81no—
718C22×D79—81no—
719C22×D79—81no—
720C22×D79—81no—
721C22×D79C22×D411yescharacteristic
722Q8×C79—21no—
723Q8×C79—21no—
724Q8×C79—21no—
725Q8×C79—21no—
726Q8×C79—42no—
727D4×C79—21no—
728D4×C79—21no—
729D4×C79—21no—
730D4×C79—21no—
731D4×C79—41no—
732D4×C79—81no—
733D4×C79—81no—
734D4×C79—81no—
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—21no—
743C2×C4×C79—21no—
744C2×C4×C79—21no—
745C2×C4×C79—81no—
746C2×C4×C79—81no—
747C2×C4×C79C22×D411yescharacteristic
748C2×C4×C79C22×D411yescharacteristic
749C2×C4×C79C22×D411yescharacteristic
750C2×C4×C79C22×D411yescharacteristic
751C2×C4×C79C2511yescharacteristic
752C22⋊D79—22no—
753C22⋊D79—22no—
754C22⋊D79—42no—
755C22⋊D79—81no—
756C22⋊D79—81no—
757C22⋊D79—81no—
758C22⋊D79—81no—
759C22⋊D79—81no—
760C22⋊D79—81no—
761C22⋊D79—81no—
762C22⋊D79—81no—
763C22⋊D79—81no—
764C2×Dic79—21no—
765C2×Dic79—21no—
766C2×Dic79—21no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—42no—
771C2×Dic79—42no—
772C2×Dic79—81no—
773C2×Dic79C22×D411yescharacteristic
774C2×Dic79C22×D411yescharacteristic
775C2×Dic79C22×D411yescharacteristic
776C2×Dic79C22×D411yescharacteristic
777C2×Dic79C22×D411yescharacteristic
778C2×Dic79C22×D411yescharacteristic
779C2×Dic79C22×D411yescharacteristic
780D316—21no—
781D316—21no—
782D316—21no—
783D316—21no—
784D316—42no—
785D316—81no—
786C4×D79—22no—
787C4×D79—21no—
788C4×D79—21no—
789C4×D79—41no—
790C4×D79—42no—
791C4×D79—42no—
792C4×D79—81no—
793C4×D79—81no—
794C4×D79—81no—
795C4×D79—81no—
796Dic158—21no—
797Dic158—21no—
798Dic158—21no—
799Dic158—21no—
800Dic158—21no—
801Dic158—21no—
802Dic158—21no—
803Dic158—41no—
804Dic158—42no—
805Dic158—42no—
806Dic158—42no—
807Dic158—81no—
808Dic158—81no—
809Dic158H(5,𝔽2)12yes—
810C8×C79—21no—
811C8×C79—21no—
812C8×C79—21no—
813C8×C79—21no—
814C79⋊C8—21no—
815C79⋊C8—21no—
816C79⋊C8—21no—
817C79⋊C8—21no—
818C22×C79—21no—
819C22×C79—21no—
820C22×C79—21no—
821C22×C79—21no—
822C22×C79—21no—
823C22×C79—21no—
824C22×C79—41no—
825C22×C79—41no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—162no—
831C22×C79C23×D411yescharacteristic
832C2×D79—21no—
833C2×D79—21no—
834C2×D79—41no—
835C2×D79—41no—
836C2×D79—41no—
837C2×D79—41no—
838C2×D79—41no—
839C2×D79—41no—
840C2×D79—162no—
841C2×D79—162no—
842C2×D79#57712yes—
843C4×C79—21no—
844C4×C79—21no—
845C4×C79—21no—
846C4×C79—21no—
847C4×C79—41no—
848C4×C79—41no—
849C4×C79—41no—
850C4×C79—41no—
851C4×C79—41no—
852C4×C79—41no—
853C4×C79C2×H(5,𝔽2)11yescharacteristic
854C4×C79#58511yescharacteristic
855Dic79—21no—
856Dic79—21no—
857Dic79—21no—
858Dic79—21no—
859Dic79—22no—
860Dic79—21no—
861Dic79—21no—
862Dic79—21no—
863Dic79—41no—
864Dic79—41no—
865Dic79—41no—
866Dic79—41no—
867Dic79—41no—
868#62019—791nomaximal, Sylow
869C2×C79—41no—
870C2×C79—41no—
871C2×C79—81no—
872C2×C79—81no—
873C2×C79#348811yescharacteristic
874C2×C79C2×#57711yescharacteristic
875C2×C79#358611yescharacteristic
876D79—22no—
877D79—81no—
878D79—81no—
879#3558—791no—
880#3523—791no—
881#3400—791no—
882#3400—791no—
883#3371—791no—
884#3371—791no—
885#3311—791no—
886#3311D7911yescharacteristic, complemented
887#3310—791no—
888#3310—791no—
889#3300—791no—
890#3300—791no—
891D4×SD16—791no—
892D4×SD16—791no—
893#3270—791no—
894#3270—791no—
895#3266—791no—
896#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×SD16—791no—
916C22×SD16—791no—
917#562—1581no—
918H(3,𝔽4)—1581no—
919#559—791no—
920#559—791no—
921#557—791no—
922#557—791no—
923#557—1581no—
924#556—1581no—
925#556C2×D7911yescharacteristic, complemented
926#552—791no—
927#552—791no—
928#552—1581no—
929#552—1581no—
930D4×Q8—791no—
931D4×Q8—791no—
932D4×Q8—791no—
933#548—791no—
934#548—791no—
935#546—791no—
936#546—1581no—
937#546—1581no—
938#546C2×D7911yescharacteristic
939D42—791no—
940D42—791no—
941#542—791no—
942#542—791no—
943#541—791no—
944#541—791no—
945#541—1581no—
946#541—1581no—
947#538—1581no—
948#538—1581no—
949#538—1581no—
950#535—791no—
951#535—791no—
952#534—1581no—
953#533—791no—
954#533—1581no—
955#532—791no—
956#529—791no—
957#529—1581no—
958C2×#124—791no—
959#519—791no—
960#519—791no—
961C2×C4×Q8—791no—
962#497—791no—
963#497—791no—
964#497—791no—
965#497—791no—
966#492—791no—
967#492—791no—
968#490—791no—
969#490—791no—
970#489—791no—
971#489C2×D7911yescharacteristic, complemented
972#488—791no—
973#488—791no—
974#485—791no—
975#485C2×D7911yescharacteristic, complemented
976#482—791no—
977#482C2×D7911yescharacteristic
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#476C2×D7911yescharacteristic, complemented
988#475—791no—
989#475—791no—
990#470—791no—
991#470C2×D7911yescharacteristic, complemented
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#465—791no—
1001#465C2×D7911yescharacteristic
1002#464—791no—
1003#464—791no—
1004#464—791no—
1005#464—791no—
1006#464—791no—
1007#464—791no—
1008#464—791no—
1009#464—791no—
1010#464—791no—
1011#464—791no—
1012#464—791no—
1013#464—791no—
1014#464—791no—
1015#464—791no—
1016#464—791no—
1017#464C2×D7911yescharacteristic, complemented
1018#462—791no—
1019#462—791no—
1020#461—791no—
1021#461—791no—
1022#461—791no—
1023#461—791no—
1024#460—791no—
1025#460—791no—
1026#460—791no—
1027#460—791no—
1028#460—791no—
1029#460—791no—
1030#460—791no—
1031#460—791no—
1032#452—791no—
1033#452—791no—
1034#452—791no—
1035#452C2×D7911yescharacteristic, complemented
1036#451—791no—
1037#451—791no—
1038#451—791no—
1039#451—791no—
1040#450—791no—
1041#450—791no—
1042#450—791no—
1043#450—791no—
1044#450—791no—
1045#450C2×D7911yescharacteristic, complemented
1046#448—791no—
1047#448—791no—
1048#448—791no—
1049#448—791no—
1050#446—791no—
1051#446—791no—
1052#441—791no—
1053#441—791no—
1054#440—791no—
1055#440—791no—
1056#440—791no—
1057#440—791no—
1058#440—791no—
1059#440C2×D7911yescharacteristic, complemented
1060C4×Q16—791no—
1061C4×Q16—791no—
1062C4×SD16—791no—
1063C4×SD16—791no—
1064#435—791no—
1065#435—791no—
1066#435—791no—
1067#435C2×D7911yescharacteristic, complemented
1068C8×D4—791no—
1069C8×D4—791no—
1070#433—791no—
1071#433—791no—
1072#432—791no—
1073#424—791no—
1074#424—791no—
1075C2×C4⋊C8—791no—
1076#418—791no—
1077#418C2×D7911yescharacteristic, complemented
1078#416—791no—
1079#416C2×D7911yescharacteristic, complemented
1080C2×#103—791no—
1081C2×#102—791no—
1082C2×#41—791no—
1083C2×#41—1581no—
1084C2×#41C22×D7911yescharacteristic
1085C22×Q8—791no—
1086C22×Q8—791no—
1087C22×Q8—791no—
1088C22×Q8—791no—
1089C22×D4—791no—
1090C22×D4—791no—
1091C22×D4—1581no—
1092C22×D4—1581no—
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×Q16C22×D7911yescharacteristic
1105C2×SD16—3162no—
1106C2×SD16—3162no—
1107C2×SD16—3162no—
1108C2×SD16—791no—
1109C2×SD16—791no—
1110C2×SD16—791no—
1111C2×SD16—791no—
1112C2×SD16—791no—
1113C2×SD16—791no—
1114C2×SD16—791no—
1115C2×SD16—791no—
1116C2×SD16—791no—
1117C2×SD16—791no—
1118C2×SD16—791no—
1119C2×SD16—791no—
1120C2×SD16—791no—
1121C2×SD16—791no—
1122C2×SD16C22×D7911yescharacteristic
1123C2×SD16C22×D7911yescharacteristic
1124C2×M16—791no—
1125C2×M16C22×D7911yescharacteristic
1126C22×C8—791no—
1127C22×C8—791no—
1128C22×C8—791no—
1129C22×C8C22×D7911yescharacteristic
1130C4⋊Q8—791no—
1131C4⋊Q8—791no—
1132C4⋊Q8—791no—
1133C4⋊Q8—791no—
1134C4⋊Q8—1581no—
1135C4⋊Q8—1581no—
1136C4⋊Q8—1581no—
1137C4⋊Q8—1581no—
1138C4⋊Q8C22×D7911yescharacteristic
1139#127—791no—
1140#127—791no—
1141#127—791no—
1142#126—21no—
1143#126—21no—
1144#126—791no—
1145#126—791no—
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—21no—
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#124C22×D7911yescharacteristic
1186#123—21no—
1187#123—791no—
1188#123—791no—
1189#123—1581no—
1190#123—1581no—
1191#123—1581no—
1192#123—1581no—
1193#123—1581no—
1194#123—1581no—
1195#123—1581no—
1196#123—1581no—
1197#123—1581no—
1198C22⋊Q8—791no—
1199C22⋊Q8—791no—
1200C22⋊Q8—791no—
1201C22⋊Q8—791no—
1202C22⋊Q8—791no—
1203C22⋊Q8—791no—
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⋊Q8C22×D7911yescharacteristic
1216C22⋊Q8C22×D7911yescharacteristic
1217C22⋊Q8C22×D7911yescharacteristic
1218#121—21no—
1219#121—791no—
1220#121—791no—
1221#121—791no—
1222#121—791no—
1223#121—1581no—
1224#121—1581no—
1225#121—1581no—
1226#121—1581no—
1227#121—1581no—
1228#121—1581no—
1229#121—1581no—
1230#121—1581no—
1231#121—1581no—
1232#121—1581no—
1233#121C22×D7911yescharacteristic
1234#120—21no—
1235#120—1581no—
1236#120—1581no—
1237#120—1581no—
1238#120—1581no—
1239#120—1581no—
1240#120—1581no—
1241#120—1581no—
1242#120—1581no—
1243#120—1581no—
1244C4×Q8—21no—
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—791no—
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—791no—
1268C4×D4—791no—
1269C4×D4—791no—
1270C4×D4—791no—
1271C4×D4—791no—
1272C4×D4—1581no—
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—1581no—
1285#117—1581no—
1286#117—1581no—
1287#117—1581no—
1288#117—1581no—
1289#117—1581no—
1290#117—1581no—
1291#117C22×D7911yescharacteristic
1292#117C22×D7911yescharacteristic
1293C2×C4⋊C4—791no—
1294C2×C4⋊C4—1581no—
1295C2×C22⋊C4—21no—
1296C2×C22⋊C4—1581no—
1297C2×C22⋊C4—1581no—
1298C2×C22⋊C4—1581no—
1299C2×C42—791no—
1300C2×C42—1581no—
1301#107—791no—
1302#107—791no—
1303#107—791no—
1304#107C22×D7911yescharacteristic
1305#106—791no—
1306#106—791no—
1307#106C22×D7911yescharacteristic
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#103C22×D7911yescharacteristic
1332#103C22×D7911yescharacteristic
1333#103C22×D7911yescharacteristic
1334#103C22×D7911yescharacteristic
1335#102—791no—
1336#102—791no—
1337#102—791no—
1338#102—791no—
1339#102—791no—
1340#102—791no—
1341#102—791no—
1342#102—791no—
1343#102—791no—
1344#102—791no—
1345#102C22×D7911yescharacteristic
1346#102C22×D7911yescharacteristic
1347#102C22×D7911yescharacteristic
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#97C22×D7911yescharacteristic
1361C4×C8—791no—
1362C4×C8—791no—
1363C24—21no—
1364C24—1581no—
1365C24—1581no—
1366#41—41no—
1367#41—41no—
1368#41—3161no—
1369#41—3161no—
1370#41—6322no—
1371C2×Q8—21no—
1372C2×Q8—3161no—
1373C2×Q8—3161no—
1374C2×Q8—3161no—
1375C2×Q8—3161no—
1376C2×Q8—3161no—
1377C2×Q8—791no—
1378C2×Q8—791no—
1379C2×Q8—791no—
1380C2×Q8—791no—
1381C2×Q8—791no—
1382C2×Q8—1582no—
1383C2×Q8—1582no—
1384C2×Q8—1581no—
1385C2×Q8—1581no—
1386C2×Q8—1581no—
1387C2×Q8—1582no—
1388C2×Q8—1581no—
1389C2×Q8—1581no—
1390C2×Q8C23×D7911yescharacteristic
1391C2×Q8C23×D7911yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—41no—
1396C2×D4—41no—
1397C2×D4—3161no—
1398C2×D4—3161no—
1399C2×D4—3161no—
1400C2×D4—3161no—
1401C2×D4—791no—
1402C2×D4—791no—
1403C2×D4—791no—
1404C2×D4—791no—
1405C2×D4—6322no—
1406C2×D4—6322no—
1407C2×D4—1581no—
1408C2×D4—1581no—
1409C2×D4—1581no—
1410C2×D4—1581no—
1411C2×D4—1581no—
1412C2×D4—1581no—
1413C2×D4—1581no—
1414C2×D4—1581no—
1415C2×D4—1581no—
1416C2×D4—1581no—
1417C2×D4—1581no—
1418C2×D4—1581no—
1419C2×D4D4×D7911yescharacteristic
1420C2×D4C23×D7911yescharacteristic
1421C2×D4C23×D7911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—791no—
1425C22×C4—791no—
1426C22×C4—791no—
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×C4C23×D7911yescharacteristic
1437C22×C4C23×D7911yescharacteristic
1438Q16—41no—
1439Q16—3161no—
1440Q16—3161no—
1441Q16—3161no—
1442Q16—3161no—
1443Q16—3161no—
1444Q16—1582no—
1445Q16—1582no—
1446SD16—41no—
1447SD16—41no—
1448SD16—3161no—
1449SD16—3161no—
1450SD16—3161no—
1451SD16—3161no—
1452SD16—3161no—
1453SD16—3161no—
1454SD16—3161no—
1455SD16—3161no—
1456SD16—3161no—
1457SD16—3161no—
1458SD16—1582no—
1459SD16—1582no—
1460SD16—1582no—
1461SD16—1582no—
1462M16—41no—
1463M16—3161no—
1464C2×C8—41no—
1465C2×C8—3161no—
1466C2×C8—3161no—
1467C2×C8—3161no—
1468C2×C8—791no—
1469C2×C8—791no—
1470C2×C8—791no—
1471C2×C8—791no—
1472C2×C8C23×D7911yescharacteristic
1473C2×C8C23×D7911yescharacteristic
1474C2×C8C23×D7911yescharacteristic
1475C2×C8C23×D7911yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—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—1581no—
1493C4⋊C4—1581no—
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⋊C4D4×D7911yescharacteristic
1521C4⋊C4C23×D7911yescharacteristic
1522C4⋊C4C23×D7911yescharacteristic
1523C4⋊C4C23×D7911yescharacteristic
1524C4⋊C4C23×D7911yescharacteristic
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—791no—
1540C22⋊C4—791no—
1541C22⋊C4—791no—
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—21no—
1567C42—21no—
1568C42—791no—
1569C42—791no—
1570C42—791no—
1571C42—791no—
1572C42—791no—
1573C42—1581no—
1574C42—1581no—
1575C42—1581no—
1576C42—1581no—
1577C42—1581no—
1578C42—1581no—
1579C42—1581no—
1580C42—1581no—
1581C42—1581no—
1582C42—1581no—
1583C42—1581no—
1584C42C23×D7911yescharacteristic
1585C23—21no—
1586C23—21no—
1587C23—81no—
1588C23—81no—
1589C23—81no—
1590C23—3162no—
1591C23—791no—
1592C23—6321no—
1593C23—6321no—
1594C23—6321no—
1595C23—6321no—
1596C23—6321no—
1597C23—1581no—
1598C23—1581no—
1599C23C2×D4×D7911yescharacteristic
1600C23C2×D4×D7911yescharacteristic
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—42no—
1606Q8—3162no—
1607Q8—3162no—
1608Q8—3161no—
1609Q8—3162no—
1610Q8—792no—
1611Q8—6321no—
1612Q8—6321no—
1613Q8—1581no—
1614Q8—1581no—
1615Q8—1581no—
1616Q8—1581no—
1617Q8—1581no—
1618Q8—1581no—
1619Q8—1581no—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—41no—
1625D4—81no—
1626D4—81no—
1627D4—81no—
1628D4—3162no—
1629D4—3162no—
1630D4—6321no—
1631D4—6321no—
1632D4—6321no—
1633D4—6321no—
1634D4—6321no—
1635D4—6321no—
1636D4—6321no—
1637D4—6321no—
1638D4—6321no—
1639D4—6321no—
1640D4—1582no—
1641D4—1582no—
1642D4—1581no—
1643D4—1581no—
1644D4—1581no—
1645D4—1581no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—81no—
1657C2×C4—81no—
1658C2×C4—3161no—
1659C2×C4—3162no—
1660C2×C4—3162no—
1661C2×C4—3162no—
1662C2×C4—3162no—
1663C2×C4—791no—
1664C2×C4—791no—
1665C2×C4—791no—
1666C2×C4—791no—
1667C2×C4—791no—
1668C2×C4—791no—
1669C2×C4—791no—
1670C2×C4—6321no—
1671C2×C4—6321no—
1672C2×C4—6321no—
1673C2×C4—6321no—
1674C2×C4—6321no—
1675C2×C4—1582no—
1676C2×C4—1581no—
1677C2×C4—1581no—
1678C2×C4—1581no—
1679C2×C4—1581no—
1680C2×C4—1581no—
1681C2×C4—1581no—
1682C2×C4—1581no—
1683C2×C4—1581no—
1684C2×C4C2×D4×D7911yescharacteristic
1685C2×C4C2×D4×D7911yescharacteristic
1686C2×C4C2×D4×D7911yescharacteristic
1687C2×C4C2×D4×D7911yescharacteristic
1688C2×C4C24×D7911yescharacteristic
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—1581no—
1694C8—1581no—
1695C8—1581no—
1696C8—1581no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—162no—
1710C22—3161no—
1711C22—3161no—
1712C22—3161no—
1713C22—3161no—
1714C22—3161no—
1715C22—3161no—
1716C22—792no—
1717C22—1581no—
1718C22—1581no—
1719C22—12642no—
1720C22—12642no—
1721C22C22×D4×D7911yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—21no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—3161no—
1733C4—3161no—
1734C4—3161no—
1735C4—3161no—
1736C4—3161no—
1737C4—1582no—
1738C4—1581no—
1739C4—1581no—
1740C4—1581no—
1741C4—1581no—
1742C4—1581no—
1743C4—1581no—
1744C4—1581no—
1745C4H(5,𝔽2)×D7911yescharacteristic
1746C4#1909939911yescharacteristic
1747C2—41no—
1748C2—41no—
1749C2—81no—
1750C2—81no—
1751C2—6321no—
1752C2—6321no—
1753C2—1582no—
1754C2#2377706311yescharacteristic
1755C2#577×D7911yescharacteristic
1756C2#2377818411yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3311C2
socleC22×C79C23×D4
prime radical#23777909C2
hypercenter#3311D79
hypocenterC79#62019
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
2. #23777495C2semidirect
3. #23776456C2semidirect
4. #23776454C2semidirect
5. #23776175C2semidirect
6. #23776167C2semidirect
7. #23775430C2semidirect
8. #23775424C2semidirect
9. #23775422C2semidirect
10. #23775290C2semidirect
11. #23775288C2semidirect
12. #23775094C2semidirect
13. #23775093C2semidirect
14. #23774977C2semidirect
15. #23774968C2semidirect
16. #23774915C2semidirect
17. #23774906C2semidirect
18. #23774821C2semidirect
19. #23774819C2semidirect
20. #23774718C2semidirect
21. #23774470C2semidirect
22. #23774468C2semidirect
23. #23774404C2semidirect
24. #23773632C2semidirect
25. #23773624C2semidirect
26. #23773520C2semidirect
27. #23772924C2semidirect
28. #23772920C2semidirect
29. #464×D79C2semidirect
30. #23772535C2semidirect
31. C79×#3311C2semidirect
32. C2×#14579194C22semidirect
33. C2×#14579191C22semidirect
34. C2×Q16×D79C22semidirect
35. C22×#11929613C22semidirect
36. C22×#11929612C22semidirect
42. #19099291C22semidirect
44. #19099288C22semidirect
46. #19099252C22semidirect
47. #19099252C22semidirect
50. D4×Dic158C22semidirect
51. #19099226C22semidirect
52. #19099226C22semidirect
62. #19099173C22semidirect
63. #19099173C22semidirect
72. #19099118C22semidirect
78. #19099040C22semidirect
79. #19099040C22semidirect
80. C4×Q8×D79C22semidirect
81. #19098958C22semidirect
82. #19098957C22semidirect
83. #19098956C22semidirect
84. #19098954C22semidirect
89. #19098925C22semidirect
90. #19098919C22semidirect
91. #19098916C22semidirect
92. #19098904C22semidirect
94. #19098878C22semidirect
95. #19098875C22semidirect
96. #19098873C22semidirect
97. #19098872C22semidirect
98. #19098862C22semidirect
99. #19098861C22semidirect
100. #19098857C22semidirect
101. #19098856C22semidirect
102. #19098850C22semidirect
103. #19098847C22semidirect
104. #19098847C22semidirect
105. #19098819C22semidirect
108. #19098804C22semidirect
109. #19098802C22semidirect
111. #19098793C22semidirect
112. #19098793C22semidirect
113. #19098791C22semidirect
114. #19098791C22semidirect
115. #19098788C22semidirect
116. #19098788C22semidirect
117. #19098788C22semidirect
118. #19098788C22semidirect
119. #19098788C22semidirect
120. #19098787C22semidirect
121. #19098786C22semidirect
122. #19098785C22semidirect
123. #19098784C22semidirect
124. #19098784C22semidirect
125. #19098784C22semidirect
126. #19098784C22semidirect
127. #19098784C22semidirect
128. #19098783C22semidirect
129. #19098782C22semidirect
130. #19098772C22semidirect
131. #19098771C22semidirect
132. #19098769C22semidirect
133. #19098768C22semidirect
134. #19098767C22semidirect
135. #19098766C22semidirect
140. #19098762C22semidirect
141. #19098762C22semidirect
142. #19098762C22semidirect
143. #19098761C22semidirect
144. #19098727C22semidirect
145. #19098725C22semidirect
146. #19098723C22semidirect
147. #19098721C22semidirect
148. #19098720C22semidirect
149. #19098720C22semidirect
150. #19098718C22semidirect
151. #19098716C22semidirect
154. #19098714C22semidirect
155. #19098713C22semidirect
157. #19098703C22semidirect
159. #19098700C22semidirect
160. #19098692C22semidirect
161. #19098691C22semidirect
162. #19098669C22semidirect
163. #19098667C22semidirect
164. #19098665C22semidirect
165. #19098663C22semidirect
166. #19098662C22semidirect
167. #19098661C22semidirect
168. #19098660C22semidirect
169. #19098657C22semidirect
170. #19098655C22semidirect
171. #19098654C22semidirect
172. #19098650C22semidirect
173. #19098637C22semidirect
174. #19098635C22semidirect
175. #19098632C22semidirect
176. C8×C22⋊D79C22semidirect
177. (C22⋊D79)⋊C8C22semidirect
178. #19098621C22semidirect
179. #19098621C22semidirect
180. #19098618C22semidirect
181. #19098591C22semidirect
182. #19098589C22semidirect
183. C4⋊C8×D79C22semidirect
184. #19098567C22semidirect
185. #19098557C22semidirect
186. #103×D79C22semidirect
188. #556×C79C22semidirect
190. #489×C79C22semidirect
191. #485×C79C22semidirect
193. #476×C79C22semidirect
194. #470×C79C22semidirect
196. #464×C79C22semidirect
197. #452×C79C22semidirect
198. #450×C79C22semidirect
199. #440×C79C22semidirect
200. #435×C79C22semidirect
201. #418×C79C22semidirect
202. #416×C79C22semidirect
886. #3311D79semidirect
910. C79#62019semidirect
925. #556C2×D79semidirect
971. #489C2×D79semidirect
975. #485C2×D79semidirect
987. #476C2×D79semidirect
991. #470C2×D79semidirect
1017. #464C2×D79semidirect
1035. #452C2×D79semidirect
1045. #450C2×D79semidirect
1059. #440C2×D79semidirect
1067. #435C2×D79semidirect
1077. #418C2×D79semidirect
1079. #416C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237779092
#237774952
#237764562
#237764542
#237761752
#237761672
#237754302
#237754242
#237754222
#237752902
#237752882
#237750942
#237750932
#237749772
#237749682
#237749152
#237749062
#237748212
#237748192
#237747182
#237744702
#237744682
#237744042
#237736322
#237736242
#237735202
#237729242
#237729202
#464×D792
#237725352
C79×#33112
#6201979