Finite Group Databasebeta

← #35185469

Subgroups — #35185469

Order 20224.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23778046C211yesmaximal, characteristic, complemented
2#23777325C211yesmaximal, characteristic, complemented
3#23776359C211yesmaximal, characteristic, complemented
4#23776270C211yesmaximal, characteristic, complemented
5#23776163C211yesmaximal, characteristic, complemented
6#23776064C211yesmaximal, characteristic, complemented
7#23775990C211yesmaximal, characteristic, complemented
8#23775964C211yesmaximal, characteristic, complemented
9#23775954C211yesmaximal, characteristic, complemented
10#23775932C211yesmaximal, characteristic, complemented
11#23775833C211yesmaximal, characteristic, complemented
12#23775797C211yesmaximal, characteristic, complemented
13#23775631C211yesmaximal, characteristic, complemented
14#23775612C211yesmaximal, characteristic, complemented
15#23775605C211yesmaximal, characteristic, complemented
16#23775549C211yesmaximal, characteristic, complemented
17#23775231C211yesmaximal, characteristic, complemented
18#23774855C211yesmaximal, characteristic, complemented
19#23774807C211yesmaximal, characteristic, complemented
20#23774795C211yesmaximal, characteristic, complemented
21#23774694C211yesmaximal, characteristic, complemented
22#23774648C211yesmaximal, characteristic, complemented
23#23774576C211yesmaximal, characteristic, complemented
24#23773681C211yesmaximal, characteristic, complemented
25#23773577C211yesmaximal, characteristic, complemented
26#23773442C211yesmaximal, characteristic, complemented
27#23773252C211yesmaximal, characteristic, complemented
28#23773227C211yesmaximal, characteristic, complemented
29#23773194C211yesmaximal, characteristic, complemented
30#23772542C211yesmaximal, characteristic, complemented
31C79×#3318C211yesmaximal, characteristic, complemented
32#19099316—21no—
33#19099308—21no—
34#19099299C2211yescharacteristic
35#19099290C2211yescharacteristic, complemented
36#19099283C2211yescharacteristic
37#19099280—21no—
38#19099277C2211yescharacteristic, complemented
39#19099272C2211yescharacteristic
40#19099270C2211yescharacteristic, complemented
41#19099260C2211yescharacteristic
42#19099260C2211yescharacteristic, complemented
43#19099256—21no—
44#19099253—21no—
45#19099253C2211yescharacteristic
46#19099252C2211yescharacteristic, complemented
47#19099248C2211yescharacteristic, complemented
48#19099244—21no—
49#19099244—21no—
50#19099213C2211yescharacteristic
51#19099207—21no—
52#19099207C2211yescharacteristic
53#19099207C2211yescharacteristic
54#19099194C2211yescharacteristic, complemented
55#19099193C2211yescharacteristic, complemented
56#19099180—21no—
57#19099180C2211yescharacteristic
58#19099180C2211yescharacteristic, complemented
59#19099178—21no—
60#19099178C2211yescharacteristic, complemented
61#19099170—21no—
62#19099167C2211yescharacteristic
63#19099158—21no—
64#19099157—21no—
65#19099148—21no—
66#19099116C2211yescharacteristic, complemented
67#19099094C2211yescharacteristic
68#19099094C2211yescharacteristic, complemented
69#19099093C2211yescharacteristic
70#19099069—21no—
71C2×#14579142—21no—
72#19099042C2211yescharacteristic
73#19099038C2211yescharacteristic
74C2×D4×Dic79C2211yescharacteristic
75#19098972C2211yescharacteristic, complemented
76#19098970C2211yescharacteristic, complemented
77#19098964C2211yescharacteristic, complemented
78#19098963C2211yescharacteristic, complemented
79#19098962C2211yescharacteristic, complemented
80#19098960C2211yescharacteristic, complemented
81#19098921C2211yescharacteristic, complemented
82#19098916C2211yescharacteristic, complemented
83#19098916C2211yescharacteristic, complemented
84#19098916C2211yescharacteristic, complemented
85#19098909C2211yescharacteristic
86#19098905C2211yescharacteristic, complemented
87#19098905C2211yescharacteristic, complemented
88#19098905C2211yescharacteristic, complemented
89#19098904C2211yescharacteristic, complemented
90#19098899C2211yescharacteristic, complemented
91#19098895C2211yescharacteristic, complemented
92#19098893C2211yescharacteristic, complemented
93#19098886C2211yescharacteristic, complemented
94#19098885C2211yescharacteristic, complemented
95#19098884C2211yescharacteristic
96#19098884C2211yescharacteristic
97#19098884C2211yescharacteristic, complemented
98#19098880C2211yescharacteristic, complemented
99#19098880C2211yescharacteristic, complemented
100#19098879C2211yescharacteristic, complemented
101#19098875C2211yescharacteristic, complemented
102#19098873C2211yescharacteristic, complemented
103#19098873C2211yescharacteristic, complemented
104#19098871C2211yescharacteristic, complemented
105#19098867C2211yescharacteristic, complemented
106#19098865C2211yescharacteristic
107#19098865C2211yescharacteristic
108#19098865C2211yescharacteristic, complemented
109#19098865C2211yescharacteristic, complemented
110#19098865C2211yescharacteristic, complemented
111#19098863C2211yescharacteristic, complemented
112#19098861C2211yescharacteristic
113#19098861C2211yescharacteristic
114#19098861C2211yescharacteristic, complemented
115#19098861C2211yescharacteristic, complemented
116#19098861C2211yescharacteristic, complemented
117#19098859C2211yescharacteristic, complemented
118#19098857C2211yescharacteristic, complemented
119#19098857C2211yescharacteristic, complemented
120#19098851C2211yescharacteristic
121#19098851C2211yescharacteristic, complemented
122#19098851C2211yescharacteristic, complemented
123#19098851C2211yescharacteristic, complemented
124#19098847C2211yescharacteristic, complemented
125#19098843C2211yescharacteristic
126#19098841C2211yescharacteristic
127#19098841C2211yescharacteristic
128#19098841C2211yescharacteristic, complemented
129#19098841C2211yescharacteristic, complemented
130#19098841C2211yescharacteristic, complemented
131#19098821C2211yescharacteristic, complemented
132#19098813C2211yescharacteristic, complemented
133#19098808C2211yescharacteristic, complemented
134#19098807C2211yescharacteristic
135#19098807C2211yescharacteristic
136#19098807C2211yescharacteristic, complemented
137#19098807C2211yescharacteristic, complemented
138#19098804C2211yescharacteristic, complemented
139#19098796C2211yescharacteristic, complemented
140#19098791C2211yescharacteristic, complemented
141#19098784C2211yescharacteristic, complemented
142#19098784C2211yescharacteristic, complemented
143#19098784C2211yescharacteristic, complemented
144#19098776C2211yescharacteristic
145#19098776C2211yescharacteristic, complemented
146#19098776C2211yescharacteristic, complemented
147#19098776C2211yescharacteristic, complemented
148#19098776C2211yescharacteristic, complemented
149#19098760C2211yescharacteristic
150#19098726C2211yescharacteristic
151#19098714C2211yescharacteristic
152#19098714C2211yescharacteristic
153#19098705C2211yescharacteristic
154#19098691C2211yescharacteristic, complemented
155#19098687C2211yescharacteristic, complemented
156#19098675C2211yescharacteristic
157#19098671C2211yescharacteristic, complemented
158#19098660C2211yescharacteristic, complemented
159#19098654C2211yescharacteristic
160#19098654C2211yescharacteristic
161#19098654C2211yescharacteristic, complemented
162C4×#11929612C2211yescharacteristic
163C4×#11929612C2211yescharacteristic, complemented
164D8×Dic79C2211yescharacteristic
165D8×Dic79C2211yescharacteristic, complemented
166D8×Dic79C2211yescharacteristic, complemented
167#19098641C2211yescharacteristic
168#19098639C2211yescharacteristic, complemented
169#19098638C2211yescharacteristic, complemented
170#19098637C2211yescharacteristic, complemented
171C8×C22⋊D79C2211yescharacteristic, complemented
172#19098625C2211yescharacteristic, complemented
173#19098621C2211yescharacteristic, complemented
174#19098613C2211yescharacteristic, complemented
175#19098606C2211yescharacteristic, complemented
176#19098605C2211yescharacteristic, complemented
177#19098603C2211yescharacteristic, complemented
178#19098602C2211yescharacteristic, complemented
179#19098601C2211yescharacteristic, complemented
180#107×D79C2211yescharacteristic, complemented
181#19098589C2211yescharacteristic, complemented
182#19098588C2211yescharacteristic, complemented
183#19098586C2211yescharacteristic, complemented
184#19098568C2211yescharacteristic
185#19098568C2211yescharacteristic
186#19098561C2211yescharacteristic
187#19098556C2211yescharacteristic
188#553×C79C2211yescharacteristic
189D42×C79C2211yescharacteristic
190#490×C79C2211yescharacteristic
191#482×C79C2211yescharacteristic
192#481×C79C2211yescharacteristic
193#478×C79C2211yescharacteristic
194#469×C79C2211yescharacteristic
195#466×C79C2211yescharacteristic
196#459×C79C2211yescharacteristic
197#447×C79C2211yescharacteristic
198#447×C79C2211yescharacteristic
199#442×C79C2211yescharacteristic
200#435×C79C2211yescharacteristic
201#418×C79C2211yescharacteristic
202C2×#102×C79C2211yescharacteristic
203C2×#11929623—21no—
204C2×#11929623C2311yescharacteristic
205C23×Dic79—21no—
206C2×Dic316C2311yescharacteristic
207C2×#11929612C2311yescharacteristic
208C2×#11929612C2311yescharacteristic
209C2×#11929612C2311yescharacteristic
210C2×#11929612C2311yescharacteristic
211C2×#11929608C2311yescharacteristic
212C2×#11929608C2311yescharacteristic
213C2×#11929607C2311yescharacteristic
214C2×C8×D79C2311yescharacteristic
215#14579161C2311yescharacteristic
216#14579160—21no—
217#14579160—21no—
218#14579160—21no—
219#14579160C2311yescharacteristic
220#14579160C2311yescharacteristic
221#14579160C2311yescharacteristic
222#14579160C2311yescharacteristic
223#14579156—21no—
224#14579156D411yescharacteristic
225#14579154—21no—
226#14579154—21no—
227#14579154—21no—
228#14579154—21no—
229#14579154—21no—
230#14579154—21no—
231#14579154—21no—
232#14579154—21no—
233#14579154—21no—
234#14579154—21no—
235#14579154—21no—
236#14579154D411yescharacteristic
237#14579153—21no—
238#14579153C2311yescharacteristic
239#14579152—21no—
240#14579152C2311yescharacteristic
241#14579152C2311yescharacteristic
242#14579152C2311yescharacteristic
243#14579152C2311yescharacteristic
244#14579152C2311yescharacteristic
245#14579151—21no—
246#14579151—21no—
247#14579151—21no—
248#14579151—21no—
249#14579151—21no—
250#14579151D411yescharacteristic
251#14579148—21no—
252#14579148—21no—
253#14579148—21no—
254#14579148—21no—
255#14579148—21no—
256#14579148C2311yescharacteristic
257#14579148C2311yescharacteristic
258#14579148C2311yescharacteristic
259#14579147—21no—
260#14579147—21no—
261#14579147D411yescharacteristic
262#14579145D411yescharacteristic
263#14579144—21no—
264#14579144—21no—
265#14579143—21no—
266#14579143—21no—
267#14579142—21no—
268#14579142—21no—
269#14579142—21no—
270#14579142—21no—
271#14579142—21no—
272#14579142—21no—
273#14579142—21no—
274#14579142—21no—
275#14579142—21no—
276#14579142—21no—
277#14579142—21no—
278#14579142—21no—
279#14579142—21no—
280#14579142—21no—
281#14579142D411yescharacteristic
282#14579141—21no—
283#14579141C2311yescharacteristic
284#14579140—21no—
285#14579140—21no—
286#14579140—21no—
287#14579140—21no—
288#14579140—21no—
289#14579140C2311yescharacteristic
290#14579140C2311yescharacteristic
291#14579140C2311yescharacteristic
292#14579140C2311yescharacteristic
293#14579139—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138—21no—
297#14579138—21no—
298#14579138—21no—
299#14579138—21no—
300#14579138—21no—
301#14579138—21no—
302#14579138—21no—
303#14579138D411yescharacteristic
304#14579133—21no—
305#14579133—21no—
306#14579133—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133D411yescharacteristic
310#14579132—21no—
311#14579132—21no—
312#14579132C2311yescharacteristic
313#14579132C2311yescharacteristic
314#14579132C2311yescharacteristic
315#14579130—21no—
316#14579130—21no—
317C4×Dic158—21no—
318C4×Dic158—21no—
319C4×Dic158C2311yescharacteristic
320C4×Dic158C2311yescharacteristic
321C4×Dic158C2311yescharacteristic
322#14579126—21no—
323#14579126—21no—
324#14579126C2311yescharacteristic
325#14579126C2311yescharacteristic
326#14579126C2311yescharacteristic
327D4×Dic79—21no—
328D4×Dic79—21no—
329D4×Dic79—21no—
330D4×Dic79—21no—
331D4×Dic79—21no—
332D4×Dic79—21no—
333D4×Dic79—21no—
334D4×Dic79C2311yescharacteristic
335D4×Dic79C2311yescharacteristic
336D4×Dic79C2311yescharacteristic
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340D4×Dic79C2311yescharacteristic
341D4×Dic79C2311yescharacteristic
342D4×Dic79C2311yescharacteristic
343C4×C22⋊D79—21no—
344C4×C22⋊D79C2311yescharacteristic
345C4×C22⋊D79C2311yescharacteristic
346(C22⋊D79)⋊C4—21no—
347(C22⋊D79)⋊C4—21no—
348(C22⋊D79)⋊C4—21no—
349#14579120—21no—
350#14579120C2311yescharacteristic
351#14579120C2311yescharacteristic
352#14579120C2311yescharacteristic
353#14579120C2311yescharacteristic
354#14579119C2311yescharacteristic
355#14579118—21no—
356#14579118C2311yescharacteristic
357#14579117—21no—
358#14579117—21no—
359#14579117—21no—
360#14579117—21no—
361#14579117—21no—
362C2×C4⋊Dic79—21no—
363C2×C4⋊Dic79C2311yescharacteristic
364C2×Dic79⋊C4—21no—
365C2×Dic79⋊C4—21no—
366C4⋊C4×D79C2311yescharacteristic
367C4⋊C4×D79C2311yescharacteristic
368C2×C22⋊Dic79—21no—
369C2×C22⋊Dic79—21no—
370C2×C22⋊Dic79—21no—
371C2×C22⋊Dic79—21no—
372C2×C22⋊Dic79—21no—
373C2×C4×Dic79C2311yescharacteristic
374#14579095C2311yescharacteristic
375#14579095C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579095C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579093C2311yescharacteristic
386#14579093C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579092C2311yescharacteristic
390#14579092C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396Dic79⋊C8C2311yescharacteristic
397Dic79⋊C8C2311yescharacteristic
398Dic79⋊C8C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403Dic79⋊C8C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579086C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579084C2311yescharacteristic
412#14579084C2311yescharacteristic
413#14579084C2311yescharacteristic
414#14579082C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579082C2311yescharacteristic
424#14579082C2311yescharacteristic
425#14579082C2311yescharacteristic
426C22⋊(C79⋊C8)C2311yescharacteristic
427C22⋊(C79⋊C8)C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430#14579071C2311yescharacteristic
431C4×C79⋊C8C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C22×D4×C79—21no—
436C22×D4×C79C2311yescharacteristic
437C22×D4×C79C2311yescharacteristic
438C2×D8×C79C2311yescharacteristic
439C2×D8×C79C2311yescharacteristic
440C2×D8×C79C2311yescharacteristic
441C2×M16×C79C2311yescharacteristic
442C22×C8×C79C2311yescharacteristic
443#127×C79C2311yescharacteristic
444#126×C79—21no—
445#125×C79C2311yescharacteristic
446#123×C79—21no—
447#121×C79—21no—
448#121×C79—21no—
449#121×C79C2311yescharacteristic
450#121×C79C2311yescharacteristic
451#121×C79C2311yescharacteristic
452#121×C79C2311yescharacteristic
453#120×C79—21no—
454#120×C79—21no—
455C4×D4×C79—21no—
456C4×D4×C79C2311yescharacteristic
457C4×D4×C79C2311yescharacteristic
458C4×D4×C79C2311yescharacteristic
459#117×C79C2311yescharacteristic
460C2×C4⋊C4×C79C2311yescharacteristic
461#107×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465#102×C79C2311yescharacteristic
466#102×C79C2311yescharacteristic
467#102×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476C22⋊C8×C79C2311yescharacteristic
477#97×C79C2311yescharacteristic
478#11929623—22no—
479#11929623—41no—
480#11929623—82no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158—21no—
486C2×Dic158C2×D411yescharacteristic
487C2×Dic158C2411yescharacteristic
488C2×Dic158C2411yescharacteristic
489C2×C22⋊D79—21no—
490C2×C22⋊D79—21no—
491C2×C22⋊D79—21no—
492C2×C22⋊D79—21no—
493C2×C22⋊D79C2×D411yescharacteristic
494C2×C22⋊D79C2×D411yescharacteristic
495C22×Dic79—21no—
496C22×Dic79—21no—
497C22×Dic79—21no—
498C22×Dic79—21no—
499C22×Dic79—21no—
500C22×Dic79—21no—
501C22×Dic79—21no—
502C22×Dic79—21no—
503C22×Dic79—21no—
504C22×Dic79—21no—
505C22×Dic79—21no—
506C22×Dic79—82no—
507C22×Dic79C2×D411yescharacteristic
508C22×Dic79C2×D411yescharacteristic
509C2×C4×D79—21no—
510C2×C4×D79—21no—
511C2×C4×D79C2411yescharacteristic
512Dic316—41no—
513#11929612—22no—
514#11929612—41no—
515#11929612—41no—
516#11929612—41no—
517#11929608—41no—
518#11929608—41no—
519#11929607—41no—
520C2×C79⋊C8C2411yescharacteristic
521C2×C79⋊C8C2411yescharacteristic
522C2×C79⋊C8C2411yescharacteristic
523C2×C79⋊C8C2411yescharacteristic
524C8×D79—41no—
525C4⋊Dic79—21no—
526C4⋊Dic79—21no—
527C4⋊Dic79—21no—
528C4⋊Dic79—21no—
529C4⋊Dic79—21no—
530C4⋊Dic79—21no—
531C4⋊Dic79—21no—
532C4⋊Dic79—21no—
533C4⋊Dic79C2×D411yescharacteristic
534C4⋊Dic79C2×D411yescharacteristic
535C4⋊Dic79C2×D411yescharacteristic
536C4⋊Dic79C2411yescharacteristic
537C4⋊Dic79C2411yescharacteristic
538C4⋊Dic79C2411yescharacteristic
539C4⋊Dic79C2411yescharacteristic
540C4⋊Dic79C2411yescharacteristic
541C4⋊Dic79C2411yescharacteristic
542Dic79⋊C4—21no—
543Dic79⋊C4—21no—
544Dic79⋊C4—21no—
545Dic79⋊C4—21no—
546Dic79⋊C4—21no—
547Dic79⋊C4—21no—
548Dic79⋊C4—21no—
549Dic79⋊C4—21no—
550Dic79⋊C4—21no—
551Dic79⋊C4—21no—
552Dic79⋊C4—21no—
553Dic79⋊C4—21no—
554Dic79⋊C4—21no—
555Dic79⋊C4—21no—
556Dic79⋊C4—21no—
557Dic79⋊C4—21no—
558Dic79⋊C4—21no—
559Dic79⋊C4—21no—
560Dic79⋊C4—21no—
561Dic79⋊C4—21no—
562Dic79⋊C4—21no—
563Dic79⋊C4—21no—
564Dic79⋊C4C2×D411yescharacteristic
565Dic79⋊C4C2×D411yescharacteristic
566Dic79⋊C4C2×D411yescharacteristic
567Dic79⋊C4C2×D411yescharacteristic
568Dic79⋊C4C2×D411yescharacteristic
569Dic79⋊C4C2×D411yescharacteristic
570C22⋊Dic79—21no—
571C22⋊Dic79—21no—
572C22⋊Dic79—21no—
573C22⋊Dic79—21no—
574C22⋊Dic79—21no—
575C22⋊Dic79—21no—
576C22⋊Dic79—21no—
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79—21no—
585C22⋊Dic79—21no—
586C22⋊Dic79—21no—
587C22⋊Dic79—21no—
588C22⋊Dic79—21no—
589C22⋊Dic79—21no—
590C22⋊Dic79—21no—
591C22⋊Dic79—21no—
592C22⋊Dic79—21no—
593C22⋊Dic79—21no—
594C22⋊Dic79—21no—
595C22⋊Dic79C2×D411yescharacteristic
596C22⋊Dic79C2×D411yescharacteristic
597C22⋊Dic79C2×D411yescharacteristic
598C22⋊Dic79C2×D411yescharacteristic
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4C2×D411yescharacteristic
602(C2×D79)⋊C4C2×D411yescharacteristic
603(C2×D79)⋊C4C2×D411yescharacteristic
604(C2×D79)⋊C4C2×D411yescharacteristic
605C4×Dic79—21no—
606C4×Dic79—21no—
607C4×Dic79—21no—
608C4×Dic79—21no—
609C4×Dic79—21no—
610C4×Dic79—21no—
611C4×Dic79—21no—
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79C2×D411yescharacteristic
615C4×Dic79C2×D411yescharacteristic
616C4×Dic79C2411yescharacteristic
617C4×Dic79C2411yescharacteristic
618C4×Dic79C2411yescharacteristic
619C24×C79—21no—
620C24×C79—21no—
621C2×D4×C79—22no—
622C2×D4×C79—22no—
623C2×D4×C79—21no—
624C2×D4×C79—21no—
625C2×D4×C79—21no—
626C2×D4×C79—21no—
627C2×D4×C79—21no—
628C2×D4×C79—21no—
629C2×D4×C79—21no—
630C2×D4×C79—21no—
631C2×D4×C79—41no—
632C2×D4×C79—41no—
633C2×D4×C79—82no—
634C2×D4×C79C2×D411yescharacteristic
635C2×D4×C79C2411yescharacteristic
636C2×D4×C79C2411yescharacteristic
637C2×D4×C79C2411yescharacteristic
638C2×D4×C79C2411yescharacteristic
639C22×C4×C79—21no—
640C22×C4×C79—21no—
641C22×C4×C79—21no—
642C22×C4×C79C2411yescharacteristic
643C22×C4×C79C2411yescharacteristic
644D8×C79—22no—
645D8×C79—41no—
646D8×C79—41no—
647M16×C79—41no—
648C2×C8×C79—41no—
649C2×C8×C79C2411yescharacteristic
650C2×C8×C79C2411yescharacteristic
651C2×C8×C79C2411yescharacteristic
652C2×C8×C79C2411yescharacteristic
653C4⋊C4×C79—21no—
654C4⋊C4×C79—21no—
655C4⋊C4×C79—21no—
656C4⋊C4×C79C2×D411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
658C4⋊C4×C79C2411yescharacteristic
659C4⋊C4×C79C2411yescharacteristic
660C4⋊C4×C79C2411yescharacteristic
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79—21no—
666C22⋊C4×C79—21no—
667C22⋊C4×C79—21no—
668C22⋊C4×C79C2×D411yescharacteristic
669C22⋊C4×C79C2×D411yescharacteristic
670C42×C79—21no—
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79—21no—
675C23×C79—21no—
676C23×C79—42no—
677C23×C79—42no—
678C23×C79—42no—
679C23×C79—81no—
680C23×C79—81no—
681C23×C79—81no—
682C23×C79C22×D411yescharacteristic
683C23×C79C22×D411yescharacteristic
684C22×D79C22×D411yescharacteristic
685D4×C79—21no—
686D4×C79—21no—
687D4×C79—21no—
688D4×C79—21no—
689D4×C79—21no—
690D4×C79—21no—
691D4×C79—21no—
692D4×C79—41no—
693D4×C79—42no—
694D4×C79—42no—
695D4×C79—42no—
696D4×C79—81no—
697D4×C79—81no—
698D4×C79—81no—
699D4×C79—81no—
700D4×C79—81no—
701D4×C792−1+412yes—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—21no—
705C2×C4×C79—21no—
706C2×C4×C79—21no—
707C2×C4×C79—21no—
708C2×C4×C79—21no—
709C2×C4×C79—21no—
710C2×C4×C79—81no—
711C2×C4×C79—81no—
712C2×C4×C79—81no—
713C2×C4×C79C22×D411yescharacteristic
714C2×C4×C79C22×D411yescharacteristic
715C2×C4×C79C22×D411yescharacteristic
716C2×C4×C79C22×D411yescharacteristic
717C2×C4×C79C2511yescharacteristic
718C22⋊D79—41no—
719C22⋊D79—41no—
720C22⋊D79—42no—
721C22⋊D79—81no—
722C22⋊D79—81no—
723C22⋊D79—81no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—21no—
730C2×Dic79—21no—
731C2×Dic79—21no—
732C2×Dic79—41no—
733C2×Dic79—41no—
734C2×Dic79—42no—
735C2×Dic79—42no—
736C2×Dic79—81no—
737C2×Dic79—81no—
738C2×Dic79—81no—
739C2×Dic79—81no—
740C2×Dic79—81no—
741C2×Dic79—81no—
742C2×Dic79—81no—
743C2×Dic79—81no—
744C2×Dic79—81no—
745C2×Dic79C22×D411yescharacteristic
746C2×Dic79C22×D411yescharacteristic
747C2×Dic79C22×D411yescharacteristic
748C2×Dic79C22×D411yescharacteristic
749C2×Dic79C22×D411yescharacteristic
750C2×Dic79C22×D411yescharacteristic
751C2×Dic79C22×D411yescharacteristic
752C4×D79—21no—
753C4×D79—21no—
754C4×D79—81no—
755C4×D79—81no—
756Dic158—21no—
757Dic158—21no—
758Dic158—21no—
759Dic158—21no—
760Dic158—41no—
761Dic158—81no—
762Dic158—81no—
763Dic158—81no—
764Dic158—81no—
765Dic158—81no—
766C8×C79—21no—
767C8×C79—21no—
768C8×C79—21no—
769C8×C79—21no—
770C79⋊C8—21no—
771C79⋊C8—21no—
772C79⋊C8—21no—
773C79⋊C8—21no—
774C22×C79—21no—
775C22×C79—21no—
776C22×C79—21no—
777C22×C79—21no—
778C22×C79—22no—
779C22×C79—21no—
780C22×C79—21no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79—41no—
784C22×C79—41no—
785C22×C79—41no—
786C22×C79—41no—
787C22×C79—41no—
788C22×C79—41no—
789C22×C79—41no—
790C22×C79—41no—
791C22×C79—41no—
792C22×C79—84no—
793C22×C79—162no—
794C22×C79C23×D411yescharacteristic
795C2×D79—21no—
796C2×D79—21no—
797C2×D79—21no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—41no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79C2×2−1+411yescharacteristic
807C4×C79#58511yescharacteristic
808Dic79—21no—
809Dic79—21no—
810Dic79—21no—
811Dic79—21no—
812Dic79—21no—
813Dic79—21no—
814Dic79—21no—
815Dic79—41no—
816Dic79—41no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62175—791nomaximal, Sylow
824C2×C79—41no—
825C2×C79—41no—
826C2×C79—42no—
827C2×C79—81no—
828C2×C79—81no—
829C2×C79—81no—
830C2×C79#348911yescharacteristic
831C2×C79#358411yescharacteristic
832C2×C79#358511yescharacteristic
833D79—41no—
834#3565—791no—
835#3513—791no—
836#3389—791no—
837#3381—791no—
838#3371—791no—
839#3361—791no—
840#3354—791no—
841#3351—791no—
842#3351—791no—
843#3349—791no—
844#3343—791no—
845#3339—791no—
846#3324—791no—
847#3323—791no—
848#3322—791no—
849#3319—791no—
850#3318D7911yescharacteristic, complemented
851#3296—791no—
852#3262—791no—
853#3257—791no—
854#3256—791no—
855#3244—791no—
856#3241—791no—
857#3233—791no—
858#3125—791no—
859#3118—791no—
860#3105—791no—
861#3083—791no—
862#3081—791no—
863#3077—791no—
864#2993—791no—
865C79#6217511yescharacteristic, complemented, Sylow
866#563—1581no—
867#562—1581no—
868#559—791no—
869#557—791no—
870#556—791no—
871#556—1581no—
872#555—791no—
873#554—791no—
874#554—791no—
875#553—791no—
876#553—791no—
877#553—1581no—
878#553C2×D7911yescharacteristic
879#552—791no—
880#552—791no—
881#552—791no—
882#552—1581no—
883#551—1581no—
884#551—1581no—
885#547—791no—
886#546—791no—
887#546—791no—
888#546—1581no—
889D42C2×D7911yescharacteristic
890#544—791no—
891#544—791no—
892#542—791no—
893#542—791no—
894#542—791no—
895#542—1581no—
896#542—1581no—
897#541—1581no—
898#540—791no—
899#539—1581no—
900#539—1581no—
901#538—1581no—
902#533—791no—
903#529—791no—
904#529—791no—
905#529—791no—
906#525—1581no—
907C2×#123—1581no—
908#520—791no—
909#518—791no—
910C2×C4×D4—791no—
911#501—791no—
912#501—791no—
913#499—791no—
914#499—791no—
915#499—791no—
916#498—791no—
917#490C2×D7911yescharacteristic
918#489—791no—
919#488—791no—
920#488—791no—
921#488—791no—
922#486—791no—
923#485—791no—
924#485—791no—
925#485—791no—
926#485—791no—
927#484—791no—
928#483—791no—
929#483—791no—
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482—791no—
935#482C2×D7911yescharacteristic
936#481—791no—
937#481—791no—
938#481—791no—
939#481C2×D7911yescharacteristic
940#480—791no—
941#479—791no—
942#479—791no—
943#479—791no—
944#479—791no—
945#478—791no—
946#478—791no—
947#478—791no—
948#478—791no—
949#478—791no—
950#478—791no—
951#478—791no—
952#478—791no—
953#478—791no—
954#478—791no—
955#478—791no—
956#478C2×D7911yescharacteristic
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476—791no—
964#475—791no—
965#474—791no—
966#474—791no—
967#474—791no—
968#474—791no—
969#474—791no—
970#474—791no—
971#470—791no—
972#469—791no—
973#469C2×D7911yescharacteristic
974#468—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#467—791no—
980#466—791no—
981#466C2×D7911yescharacteristic
982#465—791no—
983#464—791no—
984#464—791no—
985#464—791no—
986#463—791no—
987#463—791no—
988#463—791no—
989#463—791no—
990#463—791no—
991#460—791no—
992#459C2×D7911yescharacteristic
993#452—791no—
994#450—791no—
995#450—791no—
996#449—791no—
997#447C2×D7911yescharacteristic
998#447C2×D7911yescharacteristic
999#446—791no—
1000C8×Q8—791no—
1001#442—791no—
1002#442C2×D7911yescharacteristic
1003#441—791no—
1004#440—791no—
1005C4×SD16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16—791no—
1009C4×SD16—791no—
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8—791no—
1013#436—791no—
1014#436—791no—
1015#436—791no—
1016#435—791no—
1017#435C2×D7911yescharacteristic
1018C8×D4—791no—
1019#433—791no—
1020#433—791no—
1021#431—791no—
1022#428—791no—
1023#428—791no—
1024#428—791no—
1025#428—791no—
1026#427—791no—
1027C2×#107—791no—
1028#424—791no—
1029#424—791no—
1030#423—791no—
1031#418—791no—
1032#418—791no—
1033#418C2×D7911yescharacteristic
1034#417—791no—
1035#416—791no—
1036C2×#102C2×D7911yescharacteristic
1037C2×#41—791no—
1038C2×#41—1581no—
1039C22×D4—21no—
1040C22×D4C22×D7911yescharacteristic
1041C22×D4C22×D7911yescharacteristic
1042C23×C4—1581no—
1043C2×Q16—791no—
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16—791no—
1047C2×SD16—791no—
1048C2×D8C22×D7911yescharacteristic
1049C2×D8C22×D7911yescharacteristic
1050C2×D8C22×D7911yescharacteristic
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16—791no—
1054C2×M16C22×D7911yescharacteristic
1055C22×C8—791no—
1056C22×C8C22×D7911yescharacteristic
1057C4⋊Q8—791no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—791no—
1061C4⋊Q8—791no—
1062C4⋊Q8—1581no—
1063C4⋊Q8—1581no—
1064C4⋊Q8—1581no—
1065#127C22×D7911yescharacteristic
1066#126—21no—
1067#126—791no—
1068#126—791no—
1069#126—1581no—
1070#126—1581no—
1071#126—1581no—
1072#126—1581no—
1073#126—1581no—
1074#126—1581no—
1075#126—1581no—
1076#126—1581no—
1077#126—1581no—
1078#126—1581no—
1079#126—1581no—
1080#126—1581no—
1081#125—791no—
1082#125—791no—
1083#125—791no—
1084#125—791no—
1085#125—791no—
1086#125—791no—
1087#125—791no—
1088#125—1581no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125—1581no—
1095#125C22×D7911yescharacteristic
1096#124—791no—
1097#124—791no—
1098#124—791no—
1099#124—791no—
1100#124—1581no—
1101#124—1581no—
1102#124—1581no—
1103#124—1581no—
1104#124—1581no—
1105#124—1581no—
1106#124—1581no—
1107#123—21no—
1108#123—791no—
1109#123—791no—
1110#123—1581no—
1111#123—1581no—
1112#123—1581no—
1113#123—1581no—
1114#123—1581no—
1115#123—1581no—
1116#123—1581no—
1117#123—1581no—
1118#123—1581no—
1119#123—1581no—
1120#123—1581no—
1121#123—1581no—
1122#123—1581no—
1123#123—1581no—
1124#123—1581no—
1125#123—1581no—
1126#123—1581no—
1127#123—1581no—
1128C22⋊Q8—791no—
1129C22⋊Q8—791no—
1130C22⋊Q8—791no—
1131C22⋊Q8—791no—
1132C22⋊Q8—791no—
1133C22⋊Q8—791no—
1134C22⋊Q8—1581no—
1135C22⋊Q8—1581no—
1136C22⋊Q8—1581no—
1137C22⋊Q8—1581no—
1138C22⋊Q8—1581no—
1139C22⋊Q8—1581no—
1140C22⋊Q8—1581no—
1141C22⋊Q8—1581no—
1142C22⋊Q8—1581no—
1143C22⋊Q8—1581no—
1144C22⋊Q8—1581no—
1145C22⋊Q8—1581no—
1146C22⋊Q8—1581no—
1147C22⋊Q8—1581no—
1148C22⋊Q8—1581no—
1149C22⋊Q8—1581no—
1150#121—21no—
1151#121—21no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—1581no—
1157#121—1581no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121C22×D7911yescharacteristic
1164#121C22×D7911yescharacteristic
1165#121C22×D7911yescharacteristic
1166#121C22×D7911yescharacteristic
1167#120—21no—
1168#120—21no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—791no—
1175C4×Q8—791no—
1176C4×Q8—791no—
1177C4×Q8—1581no—
1178C4×Q8—1581no—
1179C4×Q8—1581no—
1180C4×Q8—1581no—
1181C4×D4—21no—
1182C4×D4—791no—
1183C4×D4—791no—
1184C4×D4—791no—
1185C4×D4—791no—
1186C4×D4—791no—
1187C4×D4—791no—
1188C4×D4—791no—
1189C4×D4—791no—
1190C4×D4—791no—
1191C4×D4—791no—
1192C4×D4—791no—
1193C4×D4—1581no—
1194C4×D4—1581no—
1195C4×D4—1581no—
1196C4×D4—1581no—
1197C4×D4—1581no—
1198C4×D4—1581no—
1199C4×D4—1581no—
1200C4×D4—1581no—
1201C4×D4—1581no—
1202C4×D4—1581no—
1203C4×D4—1581no—
1204C4×D4C22×D7911yescharacteristic
1205C4×D4C22×D7911yescharacteristic
1206C4×D4C22×D7911yescharacteristic
1207#117—791no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—791no—
1213#117—1581no—
1214#117—1581no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117—1581no—
1220#117C22×D7911yescharacteristic
1221C2×C4⋊C4—791no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—1581no—
1225C2×C4⋊C4—1581no—
1226C2×C4⋊C4—1581no—
1227C2×C4⋊C4C22×D7911yescharacteristic
1228C2×C22⋊C4—1581no—
1229C2×C22⋊C4—1581no—
1230C2×C22⋊C4—1581no—
1231C2×C22⋊C4—1581no—
1232C2×C22⋊C4—1581no—
1233C2×C42—791no—
1234#107—791no—
1235#107—791no—
1236#107—791no—
1237#107—791no—
1238#107—791no—
1239#107—791no—
1240#107—791no—
1241#107—791no—
1242#107—791no—
1243#107—791no—
1244#107—791no—
1245#107C22×D7911yescharacteristic
1246#106—791no—
1247#106—791no—
1248#106—791no—
1249#106—791no—
1250#106—791no—
1251#106—791no—
1252#106—791no—
1253#106—791no—
1254#106—791no—
1255#106—791no—
1256#106C22×D7911yescharacteristic
1257#106C22×D7911yescharacteristic
1258C4⋊C8—791no—
1259C4⋊C8—791no—
1260C4⋊C8—791no—
1261C4⋊C8—791no—
1262C4⋊C8—791no—
1263C4⋊C8—791no—
1264C4⋊C8—791no—
1265C4⋊C8—791no—
1266C4⋊C8—791no—
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103—791no—
1275#103—791no—
1276#103—791no—
1277#103—791no—
1278#102—791no—
1279#102—791no—
1280#102—791no—
1281#102—791no—
1282#102—791no—
1283#102—791no—
1284#102—791no—
1285#102—791no—
1286#102—791no—
1287#102—791no—
1288#102—791no—
1289#102—791no—
1290#102C22×D7911yescharacteristic
1291#102C22×D7911yescharacteristic
1292#102C22×D7911yescharacteristic
1293#102C22×D7911yescharacteristic
1294#102C22×D7911yescharacteristic
1295#102C22×D7911yescharacteristic
1296#102C22×D7911yescharacteristic
1297#102C22×D7911yescharacteristic
1298#102C22×D7911yescharacteristic
1299#102C22×D7911yescharacteristic
1300C22⋊C8—791no—
1301C22⋊C8—791no—
1302C22⋊C8—791no—
1303C22⋊C8—791no—
1304C22⋊C8C22×D7911yescharacteristic
1305C22⋊C8C22×D7911yescharacteristic
1306#97—791no—
1307#97C22×D7911yescharacteristic
1308C4×C8—791no—
1309C4×C8—791no—
1310C4×C8—791no—
1311C4×C8—791no—
1312C24—21no—
1313C24—21no—
1314#41—3161no—
1315#41—6322no—
1316#41—1582no—
1317C2×Q8—791no—
1318C2×Q8—791no—
1319C2×Q8—791no—
1320C2×Q8—1581no—
1321C2×Q8—1581no—
1322C2×Q8—1581no—
1323C2×Q8—1581no—
1324C2×Q8—1581no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—21no—
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—21no—
1331C2×D4—21no—
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—82no—
1338C2×D4—791no—
1339C2×D4—791no—
1340C2×D4—1581no—
1341C2×D4—1581no—
1342C2×D4—1581no—
1343C2×D4—1581no—
1344C2×D4D4×D7911yescharacteristic
1345C2×D4C23×D7911yescharacteristic
1346C2×D4C23×D7911yescharacteristic
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—791no—
1353C22×C4—791no—
1354C22×C4—791no—
1355C22×C4—6322no—
1356C22×C4—1581no—
1357C22×C4—1581no—
1358C22×C4—1581no—
1359C22×C4—1581no—
1360C22×C4—1581no—
1361C22×C4—1581no—
1362C22×C4—1581no—
1363C22×C4—1581no—
1364C22×C4—1581no—
1365C22×C4—1581no—
1366C22×C4—1581no—
1367C22×C4—1581no—
1368C22×C4—1581no—
1369C22×C4C23×D7911yescharacteristic
1370C22×C4C23×D7911yescharacteristic
1371Q16—3161no—
1372SD16—3161no—
1373SD16—3161no—
1374SD16—3161no—
1375SD16—1582no—
1376D8—22no—
1377D8—41no—
1378D8—41no—
1379M16—41no—
1380M16—3161no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—41no—
1384C2×C8—3161no—
1385C2×C8—791no—
1386C2×C8—791no—
1387C2×C8—791no—
1388C2×C8—791no—
1389C2×C8C23×D7911yescharacteristic
1390C2×C8C23×D7911yescharacteristic
1391C2×C8C23×D7911yescharacteristic
1392C2×C8C23×D7911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—791no—
1397C4⋊C4—791no—
1398C4⋊C4—791no—
1399C4⋊C4—791no—
1400C4⋊C4—791no—
1401C4⋊C4—791no—
1402C4⋊C4—791no—
1403C4⋊C4—791no—
1404C4⋊C4—791no—
1405C4⋊C4—791no—
1406C4⋊C4—791no—
1407C4⋊C4—791no—
1408C4⋊C4—791no—
1409C4⋊C4—791no—
1410C4⋊C4—791no—
1411C4⋊C4—1581no—
1412C4⋊C4—1581no—
1413C4⋊C4—1581no—
1414C4⋊C4—1581no—
1415C4⋊C4—1581no—
1416C4⋊C4—1581no—
1417C4⋊C4—1581no—
1418C4⋊C4—1581no—
1419C4⋊C4—1581no—
1420C4⋊C4—1581no—
1421C4⋊C4—1581no—
1422C4⋊C4—1581no—
1423C4⋊C4—1581no—
1424C4⋊C4—1581no—
1425C4⋊C4—1581no—
1426C4⋊C4—1581no—
1427C4⋊C4—1581no—
1428C4⋊C4—1581no—
1429C4⋊C4—1581no—
1430C4⋊C4—1581no—
1431C4⋊C4—1581no—
1432C4⋊C4—1581no—
1433C4⋊C4—1581no—
1434C4⋊C4—1581no—
1435C4⋊C4—1581no—
1436C4⋊C4—1581no—
1437C4⋊C4—1581no—
1438C4⋊C4—1581no—
1439C4⋊C4—1581no—
1440C4⋊C4—1581no—
1441C4⋊C4D4×D7911yescharacteristic
1442C4⋊C4C23×D7911yescharacteristic
1443C4⋊C4C23×D7911yescharacteristic
1444C4⋊C4C23×D7911yescharacteristic
1445C4⋊C4C23×D7911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—791no—
1454C22⋊C4—791no—
1455C22⋊C4—791no—
1456C22⋊C4—791no—
1457C22⋊C4—791no—
1458C22⋊C4—791no—
1459C22⋊C4—791no—
1460C22⋊C4—791no—
1461C22⋊C4—1581no—
1462C22⋊C4—1581no—
1463C22⋊C4—1581no—
1464C22⋊C4—1581no—
1465C22⋊C4—1581no—
1466C22⋊C4—1581no—
1467C22⋊C4—1581no—
1468C22⋊C4—1581no—
1469C22⋊C4—1581no—
1470C22⋊C4—1581no—
1471C22⋊C4—1581no—
1472C22⋊C4—1581no—
1473C22⋊C4—1581no—
1474C22⋊C4—1581no—
1475C22⋊C4—1581no—
1476C22⋊C4—1581no—
1477C22⋊C4—1581no—
1478C22⋊C4—1581no—
1479C22⋊C4—1581no—
1480C22⋊C4—1581no—
1481C22⋊C4—1581no—
1482C22⋊C4—1581no—
1483C22⋊C4—1581no—
1484C22⋊C4—1581no—
1485C22⋊C4—1581no—
1486C22⋊C4—1581no—
1487C22⋊C4—1581no—
1488C22⋊C4D4×D7911yescharacteristic
1489C22⋊C4D4×D7911yescharacteristic
1490C42—21no—
1491C42—791no—
1492C42—791no—
1493C42—791no—
1494C42—791no—
1495C42—791no—
1496C42—1581no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42—1581no—
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—42no—
1511C23—42no—
1512C23—42no—
1513C23—81no—
1514C23—81no—
1515C23—81no—
1516C23—791no—
1517C23C2×D4×D7911yescharacteristic
1518C23C2×D4×D7911yescharacteristic
1519Q8—3161no—
1520Q8—6321no—
1521Q8—6321no—
1522Q8—6321no—
1523Q8—6321no—
1524Q8—6321no—
1525Q8—1581no—
1526Q8—1581no—
1527Q8—1581no—
1528Q8—1581no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—21no—
1535D4—21no—
1536D4—41no—
1537D4—42no—
1538D4—42no—
1539D4—42no—
1540D4—81no—
1541D4—81no—
1542D4—81no—
1543D4—81no—
1544D4—81no—
1545D4—3162no—
1546D4—3161no—
1547D4—3161no—
1548D4—6321no—
1549D4—6321no—
1550D4—6321no—
1551D4#1457920812yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—3162no—
1564C2×C4—3162no—
1565C2×C4—3161no—
1566C2×C4—3161no—
1567C2×C4—791no—
1568C2×C4—791no—
1569C2×C4—791no—
1570C2×C4—791no—
1571C2×C4—791no—
1572C2×C4—791no—
1573C2×C4—791no—
1574C2×C4—6321no—
1575C2×C4—6321no—
1576C2×C4—6321no—
1577C2×C4—6321no—
1578C2×C4—6321no—
1579C2×C4—6321no—
1580C2×C4—6321no—
1581C2×C4—6321no—
1582C2×C4—6321no—
1583C2×C4—6321no—
1584C2×C4—6321no—
1585C2×C4—1581no—
1586C2×C4—1581no—
1587C2×C4—1581no—
1588C2×C4—1581no—
1589C2×C4—1581no—
1590C2×C4—1581no—
1591C2×C4—1581no—
1592C2×C4—1581no—
1593C2×C4—1581no—
1594C2×C4—1581no—
1595C2×C4C2×D4×D7911yescharacteristic
1596C2×C4C2×D4×D7911yescharacteristic
1597C2×C4C2×D4×D7911yescharacteristic
1598C2×C4C2×D4×D7911yescharacteristic
1599C2×C4C24×D7911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1581no—
1605C8—1581no—
1606C8—1581no—
1607C8—1581no—
1608C22—21no—
1609C22—21no—
1610C22—22no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—84no—
1627C22—162no—
1628C22—1581no—
1629C22—1581no—
1630C22—1581no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—3161no—
1641C4—3161no—
1642C4—3161no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—1581no—
1649C4—1581no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C4C2×#1457920811yescharacteristic
1656C4#1909939811yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—81no—
1663C2—3161no—
1664C2#2377707111yescharacteristic
1665C2#2377816811yescharacteristic
1666C2#2377817611yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3318C2
socleC22×C79C23×D4
hypercenter#3318D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #23778046C2semidirect
2. #23777325C2semidirect
3. #23776359C2semidirect
4. #23776270C2semidirect
5. #23776163C2semidirect
6. #23776064C2semidirect
7. #23775990C2semidirect
8. #23775964C2semidirect
9. #23775954C2semidirect
10. #23775932C2semidirect
11. #23775833C2semidirect
12. #23775797C2semidirect
13. #23775631C2semidirect
14. #23775612C2semidirect
15. #23775605C2semidirect
16. #23775549C2semidirect
17. #23775231C2semidirect
18. #23774855C2semidirect
19. #23774807C2semidirect
20. #23774795C2semidirect
21. #23774694C2semidirect
22. #23774648C2semidirect
23. #23774576C2semidirect
24. #23773681C2semidirect
25. #23773577C2semidirect
26. #23773442C2semidirect
27. #23773252C2semidirect
28. #23773227C2semidirect
29. #23773194C2semidirect
30. #23772542C2semidirect
31. C79×#3318C2semidirect
35. #19099290C22semidirect
38. #19099277C22semidirect
40. #19099270C22semidirect
42. #19099260C22semidirect
46. #19099252C22semidirect
47. #19099248C22semidirect
54. #19099194C22semidirect
55. #19099193C22semidirect
58. #19099180C22semidirect
60. #19099178C22semidirect
66. #19099116C22semidirect
68. #19099094C22semidirect
75. #19098972C22semidirect
76. #19098970C22semidirect
77. #19098964C22semidirect
78. #19098963C22semidirect
79. #19098962C22semidirect
80. #19098960C22semidirect
81. #19098921C22semidirect
82. #19098916C22semidirect
83. #19098916C22semidirect
84. #19098916C22semidirect
86. #19098905C22semidirect
87. #19098905C22semidirect
88. #19098905C22semidirect
89. #19098904C22semidirect
90. #19098899C22semidirect
91. #19098895C22semidirect
92. #19098893C22semidirect
93. #19098886C22semidirect
94. #19098885C22semidirect
97. #19098884C22semidirect
98. #19098880C22semidirect
99. #19098880C22semidirect
100. #19098879C22semidirect
101. #19098875C22semidirect
102. #19098873C22semidirect
103. #19098873C22semidirect
104. #19098871C22semidirect
105. #19098867C22semidirect
108. #19098865C22semidirect
109. #19098865C22semidirect
110. #19098865C22semidirect
111. #19098863C22semidirect
114. #19098861C22semidirect
115. #19098861C22semidirect
116. #19098861C22semidirect
117. #19098859C22semidirect
118. #19098857C22semidirect
119. #19098857C22semidirect
121. #19098851C22semidirect
122. #19098851C22semidirect
123. #19098851C22semidirect
124. #19098847C22semidirect
128. #19098841C22semidirect
129. #19098841C22semidirect
130. #19098841C22semidirect
131. #19098821C22semidirect
132. #19098813C22semidirect
133. #19098808C22semidirect
136. #19098807C22semidirect
137. #19098807C22semidirect
138. #19098804C22semidirect
139. #19098796C22semidirect
140. #19098791C22semidirect
141. #19098784C22semidirect
142. #19098784C22semidirect
143. #19098784C22semidirect
145. #19098776C22semidirect
146. #19098776C22semidirect
147. #19098776C22semidirect
148. #19098776C22semidirect
154. #19098691C22semidirect
155. #19098687C22semidirect
157. #19098671C22semidirect
158. #19098660C22semidirect
161. #19098654C22semidirect
163. C4×#11929612C22semidirect
165. D8×Dic79C22semidirect
166. D8×Dic79C22semidirect
168. #19098639C22semidirect
169. #19098638C22semidirect
170. #19098637C22semidirect
171. C8×C22⋊D79C22semidirect
172. #19098625C22semidirect
173. #19098621C22semidirect
174. #19098613C22semidirect
175. #19098606C22semidirect
176. #19098605C22semidirect
177. #19098603C22semidirect
178. #19098602C22semidirect
179. #19098601C22semidirect
180. #107×D79C22semidirect
181. #19098589C22semidirect
182. #19098588C22semidirect
183. #19098586C22semidirect
850. #3318D79semidirect
865. C79#62175semidirect

Maximal subgroups

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

subgroupindex
#237780462
#237773252
#237763592
#237762702
#237761632
#237760642
#237759902
#237759642
#237759542
#237759322
#237758332
#237757972
#237756312
#237756122
#237756052
#237755492
#237752312
#237748552
#237748072
#237747952
#237746942
#237746482
#237745762
#237736812
#237735772
#237734422
#237732522
#237732272
#237731942
#237725422
C79×#33182
#6217579