Finite Group Databasebeta

← #35185494

Subgroups — #35185494

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#23778051C211yesmaximal, characteristic, complemented
2#23777342C211yesmaximal, characteristic, complemented
3#23776359C211yesmaximal, characteristic, complemented
4#23776276C211yesmaximal, characteristic, complemented
5#23776169C211yesmaximal, characteristic, complemented
6#23776058C211yesmaximal, characteristic, complemented
7#23775988C211yesmaximal, characteristic, complemented
8#23775965C211yesmaximal, characteristic, complemented
9#23775963C211yesmaximal, characteristic, complemented
10#23775935C211yesmaximal, characteristic, complemented
11#23775838C211yesmaximal, characteristic, complemented
12#23775800C211yesmaximal, characteristic, complemented
13#23775633C211yesmaximal, characteristic, complemented
14#23775609C211yesmaximal, characteristic, complemented
15#23775594C211yesmaximal, characteristic, complemented
16#23775560C211yesmaximal, characteristic, complemented
17#23775546C211yesmaximal, characteristic, complemented
18#23775228C211yesmaximal, characteristic, complemented
19#23774859C211yesmaximal, characteristic, complemented
20#23774811C211yesmaximal, characteristic, complemented
21#23774799C211yesmaximal, characteristic, complemented
22#23774703C211yesmaximal, characteristic, complemented
23#23774655C211yesmaximal, characteristic, complemented
24#23774583C211yesmaximal, characteristic, complemented
25#23773583C211yesmaximal, characteristic, complemented
26#23773446C211yesmaximal, characteristic, complemented
27#23773251C211yesmaximal, characteristic, complemented
28#23773226C211yesmaximal, characteristic, complemented
29#23773198C211yesmaximal, characteristic, complemented
30#23772543C211yesmaximal, characteristic, complemented
31C79×#3125C211yesmaximal, characteristic, complemented
32#19099314—21no—
33#19099307—21no—
34#19099298C2211yescharacteristic
35#19099289C2211yescharacteristic, complemented
36#19099286C2211yescharacteristic
37#19099282—21no—
38#19099277C2211yescharacteristic, complemented
39#19099272C2211yescharacteristic
40#19099270C2211yescharacteristic, complemented
41#19099265C2211yescharacteristic, complemented
42#19099263C2211yescharacteristic
43#19099262—21no—
44#19099261C2211yescharacteristic
45#19099255—21no—
46#19099255C2211yescharacteristic, complemented
47#19099254C2211yescharacteristic
48#19099247C2211yescharacteristic, complemented
49#19099237—21no—
50#19099237—21no—
51#19099214C2211yescharacteristic
52#19099209—21no—
53#19099201C2211yescharacteristic
54#19099201C2211yescharacteristic
55D4×D316C2211yescharacteristic
56#19099191C2211yescharacteristic, complemented
57#19099190C2211yescharacteristic, complemented
58#19099185C2211yescharacteristic
59#19099182C2211yescharacteristic, complemented
60#19099181—21no—
61#19099179—21no—
62#19099170—21no—
63#19099168C2211yescharacteristic
64#19099160—21no—
65#19099157—21no—
66#19099146—21no—
67#19099118C2211yescharacteristic, complemented
68#19099100C2211yescharacteristic
69#19099092C2211yescharacteristic, complemented
70#19099091C2211yescharacteristic
71#19099072—21no—
72C2×#14579146—21no—
73#19099035C2211yescharacteristic
74C4×D4×D79C2211yescharacteristic
75#19098972C2211yescharacteristic, complemented
76#19098970C2211yescharacteristic, complemented
77#19098965C2211yescharacteristic, complemented
78#19098963C2211yescharacteristic, complemented
79#19098963C2211yescharacteristic, complemented
80#19098960C2211yescharacteristic, complemented
81#19098928C2211yescharacteristic
82#19098924C2211yescharacteristic, complemented
83#19098919C2211yescharacteristic, complemented
84#19098919C2211yescharacteristic, complemented
85#19098919C2211yescharacteristic, complemented
86#19098910C2211yescharacteristic
87#19098903C2211yescharacteristic, complemented
88#19098902C2211yescharacteristic, complemented
89#19098902C2211yescharacteristic, complemented
90#19098902C2211yescharacteristic, complemented
91#19098897C2211yescharacteristic, complemented
92#19098892C2211yescharacteristic, complemented
93#19098889C2211yescharacteristic
94#19098889C2211yescharacteristic
95#19098889C2211yescharacteristic
96#19098888C2211yescharacteristic, complemented
97#19098888C2211yescharacteristic, complemented
98#19098886C2211yescharacteristic, complemented
99#19098883C2211yescharacteristic
100#19098882C2211yescharacteristic, complemented
101#19098880C2211yescharacteristic, complemented
102#19098877C2211yescharacteristic, complemented
103#19098872C2211yescharacteristic, complemented
104#19098870C2211yescharacteristic, complemented
105#19098870C2211yescharacteristic, complemented
106#19098870C2211yescharacteristic, complemented
107#19098865C2211yescharacteristic
108#19098865C2211yescharacteristic, complemented
109#19098864C2211yescharacteristic, complemented
110#19098864C2211yescharacteristic, complemented
111#19098863C2211yescharacteristic
112#19098863C2211yescharacteristic
113#19098863C2211yescharacteristic, complemented
114#19098862C2211yescharacteristic, complemented
115#19098862C2211yescharacteristic, complemented
116#19098862C2211yescharacteristic, complemented
117#19098861C2211yescharacteristic
118#19098861C2211yescharacteristic
119#19098858C2211yescharacteristic, complemented
120#19098858C2211yescharacteristic, complemented
121#19098856C2211yescharacteristic, complemented
122#19098854C2211yescharacteristic, complemented
123#19098852C2211yescharacteristic, complemented
124#19098850C2211yescharacteristic, complemented
125#19098844C2211yescharacteristic, complemented
126#19098843C2211yescharacteristic
127#19098843C2211yescharacteristic
128#19098841C2211yescharacteristic
129#19098841C2211yescharacteristic, complemented
130#19098840C2211yescharacteristic, complemented
131#19098818C2211yescharacteristic, complemented
132#19098815C2211yescharacteristic
133#19098814C2211yescharacteristic, complemented
134#19098812C2211yescharacteristic
135#19098812C2211yescharacteristic
136#19098811C2211yescharacteristic, complemented
137#19098806C2211yescharacteristic, complemented
138#19098806C2211yescharacteristic, complemented
139#19098801C2211yescharacteristic, complemented
140#19098798C2211yescharacteristic
141#19098797C2211yescharacteristic, complemented
142#19098794C2211yescharacteristic, complemented
143#19098787C2211yescharacteristic, complemented
144#19098787C2211yescharacteristic, complemented
145#19098780C2211yescharacteristic, complemented
146#19098780C2211yescharacteristic, complemented
147#19098775C2211yescharacteristic, complemented
148#19098775C2211yescharacteristic, complemented
149#19098763C2211yescharacteristic
150#19098758C2211yescharacteristic
151#19098712C2211yescharacteristic
152#19098712C2211yescharacteristic
153#19098695C2211yescharacteristic
154#19098695C2211yescharacteristic
155#19098691C2211yescharacteristic, complemented
156C8×Dic158C2211yescharacteristic, complemented
157#19098675C2211yescharacteristic
158#19098666C2211yescharacteristic, complemented
159SD16×Dic79C2211yescharacteristic
160SD16×Dic79C2211yescharacteristic
161#19098648C2211yescharacteristic, complemented
162D8×Dic79C2211yescharacteristic
163#19098643C2211yescharacteristic, complemented
164#19098643C2211yescharacteristic, complemented
165#19098642C2211yescharacteristic
166#19098638C2211yescharacteristic, complemented
167#19098638C2211yescharacteristic, complemented
168#19098636C2211yescharacteristic
169#19098631C2211yescharacteristic, complemented
170(C22⋊D79)⋊C8C2211yescharacteristic, complemented
171#19098623C2211yescharacteristic, complemented
172#19098615C2211yescharacteristic, complemented
173#19098603C2211yescharacteristic, complemented
174#19098602C2211yescharacteristic, complemented
175#19098602C2211yescharacteristic, complemented
176#19098602C2211yescharacteristic, complemented
177#19098598C2211yescharacteristic, complemented
178C2×#14579094C2211yescharacteristic, complemented
179#19098590C2211yescharacteristic, complemented
180#19098588C2211yescharacteristic, complemented
181#19098585C2211yescharacteristic, complemented
182#19098566C2211yescharacteristic
183#19098566C2211yescharacteristic
184#19098566C2211yescharacteristic
185#19098564C2211yescharacteristic
186#19098559C2211yescharacteristic
187#102×D79C2211yescharacteristic
188#542×C79C2211yescharacteristic, complemented
189#520×C79C2211yescharacteristic
190#483×C79C2211yescharacteristic, complemented
191#481×C79C2211yescharacteristic, complemented
192#476×C79C2211yescharacteristic
193#475×C79C2211yescharacteristic, complemented
194#464×C79C2211yescharacteristic, complemented
195#463×C79C2211yescharacteristic
196#452×C79C2211yescharacteristic
197#449×C79C2211yescharacteristic
198#442×C79C2211yescharacteristic
199#441×C79C2211yescharacteristic, complemented
200C4×SD16×C79C2211yescharacteristic
201C4×SD16×C79C2211yescharacteristic, complemented
202#433×C79C2211yescharacteristic, complemented
203C2×#11929624—21no—
204C22×D316—21no—
205C2×D4×D79C2311yescharacteristic
206C2×D4×D79C2311yescharacteristic
207C22×C4×D79—21no—
208C2×#11929611C2311yescharacteristic
209C2×#11929611C2311yescharacteristic
210C2×#11929609C2311yescharacteristic
211C2×#11929609C2311yescharacteristic
212C2×#11929608C2311yescharacteristic
213C2×#11929607C2311yescharacteristic
214C2×#11929607C2311yescharacteristic
215C2×#11929607C2311yescharacteristic
216C22×C79⋊C8C2311yescharacteristic
217C2×C8×D79C2311yescharacteristic
218#14579161C2311yescharacteristic
219#14579161C2311yescharacteristic
220#14579160—21no—
221#14579160—21no—
222#14579160C2311yescharacteristic
223#14579160C2311yescharacteristic
224#14579159—21no—
225#14579158C2311yescharacteristic
226#14579156—21no—
227#14579156—21no—
228#14579156—21no—
229#14579156—21no—
230#14579156—21no—
231#14579156D411yescharacteristic
232#14579155—21no—
233#14579155—21no—
234#14579154—21no—
235#14579154—21no—
236#14579154—21no—
237#14579154—21no—
238#14579154—21no—
239#14579154D411yescharacteristic
240#14579153—21no—
241#14579153C2311yescharacteristic
242#14579153C2311yescharacteristic
243#14579153C2311yescharacteristic
244#14579152—21no—
245#14579152—21no—
246#14579152—21no—
247#14579152C2311yescharacteristic
248#14579152C2311yescharacteristic
249#14579152C2311yescharacteristic
250#14579152C2311yescharacteristic
251#14579151—21no—
252#14579151—21no—
253#14579151—21no—
254#14579151D411yescharacteristic
255#14579150C2311yescharacteristic
256#14579150C2311yescharacteristic
257#14579149—21no—
258#14579149—21no—
259#14579149—21no—
260#14579148—21no—
261#14579147—21no—
262#14579147—21no—
263#14579147D411yescharacteristic
264#14579146—21no—
265#14579146—21no—
266#14579146—21no—
267#14579146—21no—
268#14579146—21no—
269#14579146—21no—
270#14579146—21no—
271#14579146—21no—
272#14579146—21no—
273#14579146D411yescharacteristic
274#14579145—21no—
275#14579145—21no—
276#14579145—21no—
277#14579144—21no—
278#14579144—21no—
279#14579144—21no—
280#14579144—21no—
281#14579143—21no—
282#14579143—21no—
283#14579143D411yescharacteristic
284#14579141—21no—
285#14579140—21no—
286#14579140—21no—
287#14579139—21no—
288#14579139—21no—
289#14579139—21no—
290#14579139D411yescharacteristic
291#14579138—21no—
292#14579138—21no—
293#14579138—21no—
294#14579138—21no—
295#14579138—21no—
296#14579138—21no—
297#14579138—21no—
298#14579137—21no—
299#14579137—21no—
300#14579137C2311yescharacteristic
301#14579137C2311yescharacteristic
302#14579137C2311yescharacteristic
303#14579137C2311yescharacteristic
304#14579136C2311yescharacteristic
305#14579136C2311yescharacteristic
306#14579135—21no—
307#14579135—21no—
308#14579135C2311yescharacteristic
309#14579135C2311yescharacteristic
310#14579134—21no—
311#14579134—21no—
312#14579134—21no—
313#14579134D411yescharacteristic
314#14579133—21no—
315#14579133—21no—
316#14579133—21no—
317#14579133—21no—
318#14579132C2311yescharacteristic
319#14579132C2311yescharacteristic
320#14579131—21no—
321#14579131—21no—
322#14579129—21no—
323#14579129—21no—
324Q8×Dic79—21no—
325Q8×Dic79C2311yescharacteristic
326Q8×Dic79C2311yescharacteristic
327C4×Dic158—21no—
328C4×Dic158—21no—
329C4×Dic158C2311yescharacteristic
330#14579126—21no—
331C4×D316—21no—
332C4×D316—21no—
333C4×D316C2311yescharacteristic
334C4×D316C2311yescharacteristic
335C4×D316C2311yescharacteristic
336D4×Dic79—21no—
337D4×Dic79C2311yescharacteristic
338D4×Dic79C2311yescharacteristic
339D4×Dic79C2311yescharacteristic
340D4×Dic79C2311yescharacteristic
341#14579123C2311yescharacteristic
342#14579123C2311yescharacteristic
343C4×C22⋊D79—21no—
344C4×C22⋊D79—21no—
345C4×C22⋊D79—21no—
346C4×C22⋊D79—21no—
347C4×C22⋊D79C2311yescharacteristic
348C4×C22⋊D79C2311yescharacteristic
349(C22⋊D79)⋊C4—21no—
350(C22⋊D79)⋊C4—21no—
351(C22⋊D79)⋊C4—21no—
352#14579120C2311yescharacteristic
353#14579119—21no—
354#14579119C2311yescharacteristic
355#14579119C2311yescharacteristic
356#14579119C2311yescharacteristic
357#14579119C2311yescharacteristic
358#14579118—21no—
359#14579118—21no—
360#14579118C2311yescharacteristic
361#14579117—21no—
362#14579117—21no—
363#14579117—21no—
364C2×C4⋊Dic79—21no—
365C2×C4⋊Dic79C2311yescharacteristic
366C2×Dic79⋊C4—21no—
367C4⋊C4×D79C2311yescharacteristic
368C4⋊C4×D79C2311yescharacteristic
369C2×(C2×D79)⋊C4—21no—
370C2×(C2×D79)⋊C4—21no—
371C2×(C2×D79)⋊C4—21no—
372C22⋊C4×D79—21no—
373C22⋊C4×D79—21no—
374C42×D79C2311yescharacteristic
375#14579095C2311yescharacteristic
376#14579095C2311yescharacteristic
377#14579095C2311yescharacteristic
378#14579095C2311yescharacteristic
379#14579094C2311yescharacteristic
380#14579094C2311yescharacteristic
381#14579094C2311yescharacteristic
382#14579094C2311yescharacteristic
383#14579094C2311yescharacteristic
384#14579094C2311yescharacteristic
385#14579094C2311yescharacteristic
386#14579094C2311yescharacteristic
387#14579093C2311yescharacteristic
388#14579093C2311yescharacteristic
389#14579093C2311yescharacteristic
390#14579093C2311yescharacteristic
391#14579092C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395C4⋊(C79⋊C8)C2311yescharacteristic
396C4⋊(C79⋊C8)C2311yescharacteristic
397C4⋊(C79⋊C8)C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579085C2311yescharacteristic
404#14579085C2311yescharacteristic
405#14579085C2311yescharacteristic
406#14579085C2311yescharacteristic
407#14579085C2311yescharacteristic
408#14579085C2311yescharacteristic
409#14579083C2311yescharacteristic
410#14579083C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579083C2311yescharacteristic
416#14579083C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579082C2311yescharacteristic
422#14579082C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425#14579081C2311yescharacteristic
426#14579081C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429(C2×D79)⋊C8C2311yescharacteristic
430(C2×D79)⋊C8C2311yescharacteristic
431#14579071C2311yescharacteristic
432C8×Dic79C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C2×#41×C79C2311yescharacteristic
436C2×Q16×C79C2311yescharacteristic
437C2×SD16×C79C2311yescharacteristic
438C2×SD16×C79C2311yescharacteristic
439C2×D8×C79C2311yescharacteristic
440C4⋊Q8×C79C2311yescharacteristic
441#126×C79—21no—
442#124×C79—21no—
443#124×C79C2311yescharacteristic
444#123×C79—21no—
445C22⋊Q8×C79—21no—
446C22⋊Q8×C79C2311yescharacteristic
447#121×C79C2311yescharacteristic
448C4×Q8×C79C2311yescharacteristic
449C4×Q8×C79C2311yescharacteristic
450C4×Q8×C79C2311yescharacteristic
451C4×D4×C79—21no—
452C4×D4×C79—21no—
453C4×D4×C79C2311yescharacteristic
454C4×D4×C79C2311yescharacteristic
455C4×D4×C79C2311yescharacteristic
456#117×C79—21no—
457#117×C79C2311yescharacteristic
458C2×C4⋊C4×C79—21no—
459C2×C4⋊C4×C79C2311yescharacteristic
460#106×C79C2311yescharacteristic
461#106×C79C2311yescharacteristic
462#106×C79C2311yescharacteristic
463#106×C79C2311yescharacteristic
464C4⋊C8×C79C2311yescharacteristic
465C4⋊C8×C79C2311yescharacteristic
466#103×C79C2311yescharacteristic
467#103×C79C2311yescharacteristic
468#103×C79C2311yescharacteristic
469#103×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474C22⋊C8×C79C2311yescharacteristic
475C22⋊C8×C79C2311yescharacteristic
476#97×C79C2311yescharacteristic
477C4×C8×C79C2311yescharacteristic
478C23×D79—21no—
479C23×D79—21no—
480#11929624—82no—
481C2×Dic158—21no—
482C2×Dic158—21no—
483C2×Dic158—21no—
484C2×Dic158—21no—
485C2×Dic158C2×D411yescharacteristic
486C2×D316—21no—
487C2×D316—21no—
488C2×D316—21no—
489C2×D316—21no—
490C2×D316—82no—
491C2×D316C2×D411yescharacteristic
492C2×D316C2411yescharacteristic
493C2×D316C2411yescharacteristic
494C2×C22⋊D79—21no—
495C2×C22⋊D79—21no—
496C2×C22⋊D79—21no—
497C2×C22⋊D79—21no—
498C2×C22⋊D79—21no—
499C2×C22⋊D79—21no—
500C2×C22⋊D79C2×D411yescharacteristic
501C2×C22⋊D79C2×D411yescharacteristic
502D4×D79—22no—
503D4×D79—22no—
504D4×D79—41no—
505D4×D79—41no—
506C22×Dic79—21no—
507C22×Dic79—21no—
508C22×Dic79—21no—
509C22×Dic79—21no—
510C22×Dic79—21no—
511C2×C4×D79—21no—
512C2×C4×D79—21no—
513C2×C4×D79—21no—
514C2×C4×D79—21no—
515C2×C4×D79—21no—
516C2×C4×D79—21no—
517C2×C4×D79—82no—
518C2×C4×D79C2×D411yescharacteristic
519C2×C4×D79C2×D411yescharacteristic
520C2×C4×D79C2411yescharacteristic
521C2×C4×D79C2411yescharacteristic
522#11929611—41no—
523#11929611—41no—
524#11929609—41no—
525#11929609—41no—
526#11929608—41no—
527#11929607—41no—
528#11929607—41no—
529#11929607—41no—
530C2×C79⋊C8—41no—
531C2×C79⋊C8C2411yescharacteristic
532C2×C79⋊C8C2411yescharacteristic
533C2×C79⋊C8C2411yescharacteristic
534C2×C79⋊C8C2411yescharacteristic
535C8×D79—41no—
536C4⋊Dic79—21no—
537C4⋊Dic79—21no—
538C4⋊Dic79—21no—
539C4⋊Dic79—21no—
540C4⋊Dic79—21no—
541C4⋊Dic79—21no—
542C4⋊Dic79—21no—
543C4⋊Dic79—21no—
544C4⋊Dic79—21no—
545C4⋊Dic79C2×D411yescharacteristic
546C4⋊Dic79C2×D411yescharacteristic
547C4⋊Dic79C2411yescharacteristic
548C4⋊Dic79C2411yescharacteristic
549C4⋊Dic79C2411yescharacteristic
550C4⋊Dic79C2411yescharacteristic
551C4⋊Dic79C2411yescharacteristic
552C4⋊Dic79C2411yescharacteristic
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⋊C4—21no—
565Dic79⋊C4—21no—
566Dic79⋊C4—21no—
567Dic79⋊C4—21no—
568Dic79⋊C4—21no—
569Dic79⋊C4—21no—
570Dic79⋊C4—21no—
571Dic79⋊C4C2×D411yescharacteristic
572Dic79⋊C4C2×D411yescharacteristic
573Dic79⋊C4C2×D411yescharacteristic
574Dic79⋊C4C2×D411yescharacteristic
575Dic79⋊C4C2×D411yescharacteristic
576Dic79⋊C4C2×D411yescharacteristic
577C22⋊Dic79—21no—
578C22⋊Dic79—21no—
579C22⋊Dic79—21no—
580C22⋊Dic79—21no—
581C22⋊Dic79—21no—
582C22⋊Dic79—21no—
583C22⋊Dic79—21no—
584C22⋊Dic79C2×D411yescharacteristic
585C22⋊Dic79C2×D411yescharacteristic
586(C2×D79)⋊C4—21no—
587(C2×D79)⋊C4—21no—
588(C2×D79)⋊C4—21no—
589(C2×D79)⋊C4—21no—
590(C2×D79)⋊C4—21no—
591(C2×D79)⋊C4—21no—
592(C2×D79)⋊C4—21no—
593(C2×D79)⋊C4—21no—
594(C2×D79)⋊C4—21no—
595(C2×D79)⋊C4—21no—
596(C2×D79)⋊C4—21no—
597(C2×D79)⋊C4—21no—
598(C2×D79)⋊C4—21no—
599(C2×D79)⋊C4—21no—
600(C2×D79)⋊C4—21no—
601(C2×D79)⋊C4—21no—
602(C2×D79)⋊C4—21no—
603(C2×D79)⋊C4—21no—
604(C2×D79)⋊C4—21no—
605(C2×D79)⋊C4—21no—
606(C2×D79)⋊C4C2×D411yescharacteristic
607(C2×D79)⋊C4C2×D411yescharacteristic
608(C2×D79)⋊C4C2×D411yescharacteristic
609(C2×D79)⋊C4C2×D411yescharacteristic
610(C2×D79)⋊C4C2×D411yescharacteristic
611(C2×D79)⋊C4C2×D411yescharacteristic
612C4×Dic79—21no—
613C4×Dic79—21no—
614C4×Dic79—21no—
615C4×Dic79—21no—
616C4×Dic79—21no—
617C4×Dic79—21no—
618C4×Dic79—21no—
619C4×Dic79C2×D411yescharacteristic
620C4×Dic79C2×D411yescharacteristic
621C4×Dic79C2411yescharacteristic
622C4×Dic79C2411yescharacteristic
623#41×C79—22no—
624#41×C79—41no—
625C2×Q8×C79—21no—
626C2×Q8×C79C2411yescharacteristic
627C2×Q8×C79C2411yescharacteristic
628C2×D4×C79—21no—
629C2×D4×C79—21no—
630C2×D4×C79C2411yescharacteristic
631C2×D4×C79C2411yescharacteristic
632C22×C4×C79—21no—
633C22×C4×C79—21no—
634C22×C4×C79—21no—
635C22×C4×C79—21no—
636C22×C4×C79—21no—
637C22×C4×C79C2411yescharacteristic
638Q16×C79—41no—
639SD16×C79—22no—
640SD16×C79—41no—
641D8×C79—22no—
642C2×C8×C79C2411yescharacteristic
643C2×C8×C79C2411yescharacteristic
644C2×C8×C79C2411yescharacteristic
645C2×C8×C79C2411yescharacteristic
646C4⋊C4×C79—21no—
647C4⋊C4×C79—21no—
648C4⋊C4×C79—21no—
649C4⋊C4×C79—21no—
650C4⋊C4×C79—21no—
651C4⋊C4×C79—21no—
652C4⋊C4×C79C2×D411yescharacteristic
653C4⋊C4×C79C2×D411yescharacteristic
654C4⋊C4×C79C2411yescharacteristic
655C4⋊C4×C79C2411yescharacteristic
656C4⋊C4×C79C2411yescharacteristic
657C4⋊C4×C79C2411yescharacteristic
658C22⋊C4×C79—21no—
659C22⋊C4×C79—21no—
660C22⋊C4×C79—21no—
661C22⋊C4×C79—21no—
662C22⋊C4×C79—21no—
663C22⋊C4×C79—21no—
664C22⋊C4×C79—21no—
665C22⋊C4×C79C2×D411yescharacteristic
666C22⋊C4×C79C2×D411yescharacteristic
667C42×C79—21no—
668C42×C79—21no—
669C42×C79—21no—
670C42×C79C2411yescharacteristic
671C42×C79C2411yescharacteristic
672C23×C79—21no—
673C23×C79—21no—
674C23×C79C22×D411yescharacteristic
675C22×D79—21no—
676C22×D79—21no—
677C22×D79—42no—
678C22×D79—42no—
679C22×D79—42no—
680C22×D79—81no—
681C22×D79—81no—
682C22×D79—81no—
683C22×D79C22×D411yescharacteristic
684C22×D79C22×D411yescharacteristic
685Q8×C79—21no—
686Q8×C79—21no—
687Q8×C79—21no—
688Q8×C79—21no—
689Q8×C79—81no—
690D4×C79—21no—
691D4×C79—21no—
692D4×C79—21no—
693D4×C79—42no—
694D4×C79—81no—
695D4×C792−1+412yes—
696C2×C4×C79—21no—
697C2×C4×C79—21no—
698C2×C4×C79—21no—
699C2×C4×C79—21no—
700C2×C4×C79—21no—
701C2×C4×C79—21no—
702C2×C4×C79—21no—
703C2×C4×C79—21no—
704C2×C4×C79—42no—
705C2×C4×C79—81no—
706C2×C4×C79—81no—
707C2×C4×C79—81no—
708C2×C4×C79—81no—
709C2×C4×C79C22×D411yescharacteristic
710C2×C4×C79C22×D411yescharacteristic
711C2×C4×C79C22×D411yescharacteristic
712C2×C4×C79C22×D411yescharacteristic
713C2×C4×C79C22×D411yescharacteristic
714C2×C4×C79C2511yescharacteristic
715C22⋊D79—41no—
716C22⋊D79—41no—
717C22⋊D79—42no—
718C22⋊D79—42no—
719C22⋊D79—81no—
720C22⋊D79—81no—
721C22⋊D79—81no—
722C22⋊D79—81no—
723C2×Dic79—21no—
724C2×Dic79—21no—
725C2×Dic79—21no—
726C2×Dic79—21no—
727C2×Dic79—21no—
728C2×Dic79—21no—
729C2×Dic79—81no—
730C2×Dic79—81no—
731C2×Dic79—81no—
732C2×Dic79—81no—
733C2×Dic79—81no—
734C2×Dic79C22×D411yescharacteristic
735C2×Dic79C22×D411yescharacteristic
736C2×Dic79C22×D411yescharacteristic
737C2×Dic79C22×D411yescharacteristic
738C2×Dic79C22×D411yescharacteristic
739C2×Dic79C22×D411yescharacteristic
740D316—21no—
741D316—21no—
742D316—21no—
743D316—21no—
744D316—41no—
745D316—42no—
746D316—81no—
747D316—81no—
748D316—81no—
749C4×D79—21no—
750C4×D79—21no—
751C4×D79—21no—
752C4×D79—21no—
753C4×D79—41no—
754C4×D79—41no—
755C4×D79—42no—
756C4×D79—81no—
757C4×D79—81no—
758C4×D79—81no—
759C4×D79—81no—
760C4×D79—81no—
761Dic158—41no—
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—22no—
777C22×C79—21no—
778C22×C79—41no—
779C22×C79—41no—
780C22×C79—41no—
781C22×C79—41no—
782C22×C79—41no—
783C22×C79C23×D411yescharacteristic
784C2×D79—21no—
785C2×D79—21no—
786C2×D79—21no—
787C2×D79—21no—
788C2×D79—21no—
789C2×D79—21no—
790C2×D79—41no—
791C2×D79—41no—
792C2×D79—41no—
793C2×D79—41no—
794C2×D79—41no—
795C2×D79—41no—
796C2×D79—84no—
797C2×D79—162no—
798C4×C79—21no—
799C4×C79—21no—
800C4×C79—21no—
801C4×C79—21no—
802C4×C79—21no—
803C4×C79—41no—
804C4×C79—41no—
805C4×C79—41no—
806C4×C79—41no—
807C4×C79—41no—
808C4×C79—41no—
809C4×C79C2×2−1+411yescharacteristic
810C4×C79#58511yescharacteristic
811Dic79—21no—
812Dic79—21no—
813Dic79—21no—
814Dic79—21no—
815Dic79—21no—
816Dic79—21no—
817Dic79—41no—
818Dic79—41no—
819Dic79—41no—
820Dic79—41no—
821Dic79—41no—
822Dic79—41no—
823#62175—791nomaximal, Sylow
824C2×C79—42no—
825C2×C79—41no—
826C2×C79—81no—
827C2×C79#348911yescharacteristic
828C2×C79#358411yescharacteristic
829C2×C79#358511yescharacteristic
830D79—41no—
831D79—41no—
832D79—81no—
833D79—81no—
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#3318—791no—
851#3296—791no—
852#3262—791no—
853#3257—791no—
854#3256—791no—
855#3244—791no—
856#3241—791no—
857#3233—791no—
858#3125D7911yescharacteristic, complemented
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—791no—
878#553—1581no—
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—
889D42—791no—
890#544—791no—
891#544—791no—
892#542—791no—
893#542—791no—
894#542—1581no—
895#542—1581no—
896#542C2×D7911yescharacteristic, complemented
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#520C2×D7911yescharacteristic
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#490—791no—
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#483C2×D7911yescharacteristic, complemented
930#482—791no—
931#482—791no—
932#482—791no—
933#482—791no—
934#482—791no—
935#482—791no—
936#481—791no—
937#481—791no—
938#481—791no—
939#481C2×D7911yescharacteristic, complemented
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#478—791no—
957#477—791no—
958#477—791no—
959#477—791no—
960#476—791no—
961#476—791no—
962#476—791no—
963#476C2×D7911yescharacteristic
964#475C2×D7911yescharacteristic, complemented
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#469—791no—
974#468—791no—
975#468—791no—
976#468—791no—
977#468—791no—
978#468—791no—
979#467—791no—
980#466—791no—
981#466—791no—
982#465—791no—
983#464—791no—
984#464—791no—
985#464C2×D7911yescharacteristic, complemented
986#463—791no—
987#463—791no—
988#463—791no—
989#463—791no—
990#463C2×D7911yescharacteristic
991#460—791no—
992#459—791no—
993#452C2×D7911yescharacteristic
994#450—791no—
995#450—791no—
996#449C2×D7911yescharacteristic
997#447—791no—
998#447—791no—
999#446—791no—
1000C8×Q8—791no—
1001#442—791no—
1002#442C2×D7911yescharacteristic
1003#441C2×D7911yescharacteristic, complemented
1004#440—791no—
1005C4×SD16—791no—
1006C4×SD16—791no—
1007C4×SD16—791no—
1008C4×SD16C2×D7911yescharacteristic
1009C4×SD16C2×D7911yescharacteristic, complemented
1010C4×D8—791no—
1011C4×D8—791no—
1012C4×D8—791no—
1013#436—791no—
1014#436—791no—
1015#436—791no—
1016#435—791no—
1017#435—791no—
1018C8×D4—791no—
1019#433—791no—
1020#433C2×D7911yescharacteristic, complemented
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#418—791no—
1034#417—791no—
1035#416—791no—
1036C2×#102—791no—
1037C2×#41—1581no—
1038C2×#41C22×D7911yescharacteristic
1039C22×D4—791no—
1040C22×D4—791no—
1041C22×D4—1581no—
1042C23×C4—1581no—
1043C2×Q16C22×D7911yescharacteristic
1044C2×SD16—791no—
1045C2×SD16—791no—
1046C2×SD16C22×D7911yescharacteristic
1047C2×SD16C22×D7911yescharacteristic
1048C2×D8—791no—
1049C2×D8—791no—
1050C2×D8C22×D7911yescharacteristic
1051C2×M16—791no—
1052C2×M16—791no—
1053C2×M16—791no—
1054C2×M16—791no—
1055C22×C8—791no—
1056C22×C8—791no—
1057C4⋊Q8—791no—
1058C4⋊Q8—791no—
1059C4⋊Q8—791no—
1060C4⋊Q8—791no—
1061C4⋊Q8—1581no—
1062C4⋊Q8—1581no—
1063C4⋊Q8—1581no—
1064C4⋊Q8C22×D7911yescharacteristic
1065#127—791no—
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—791no—
1089#125—1581no—
1090#125—1581no—
1091#125—1581no—
1092#125—1581no—
1093#125—1581no—
1094#125—1581no—
1095#125—1581no—
1096#124—21no—
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#124C22×D7911yescharacteristic
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—21no—
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⋊Q8C22×D7911yescharacteristic
1150#121—791no—
1151#121—791no—
1152#121—791no—
1153#121—791no—
1154#121—791no—
1155#121—791no—
1156#121—791no—
1157#121—1581no—
1158#121—1581no—
1159#121—1581no—
1160#121—1581no—
1161#121—1581no—
1162#121—1581no—
1163#121—1581no—
1164#121—1581no—
1165#121—1581no—
1166#121C22×D7911yescharacteristic
1167#120—1581no—
1168#120—1581no—
1169#120—1581no—
1170#120—1581no—
1171C4×Q8—791no—
1172C4×Q8—791no—
1173C4×Q8—791no—
1174C4×Q8—1581no—
1175C4×Q8—1581no—
1176C4×Q8—1581no—
1177C4×Q8—1581no—
1178C4×Q8C22×D7911yescharacteristic
1179C4×Q8C22×D7911yescharacteristic
1180C4×Q8C22×D7911yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
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—791no—
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—21no—
1208#117—791no—
1209#117—791no—
1210#117—791no—
1211#117—791no—
1212#117—791no—
1213#117—791no—
1214#117—1581no—
1215#117—1581no—
1216#117—1581no—
1217#117—1581no—
1218#117—1581no—
1219#117—1581no—
1220#117C22×D7911yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—791no—
1223C2×C4⋊C4—791no—
1224C2×C4⋊C4—791no—
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#107—791no—
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#106C22×D7911yescharacteristic
1255#106C22×D7911yescharacteristic
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⋊C8C22×D7911yescharacteristic
1267C4⋊C8C22×D7911yescharacteristic
1268#103—791no—
1269#103—791no—
1270#103—791no—
1271#103—791no—
1272#103—791no—
1273#103—791no—
1274#103C22×D7911yescharacteristic
1275#103C22×D7911yescharacteristic
1276#103C22×D7911yescharacteristic
1277#103C22×D7911yescharacteristic
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#102—791no—
1291#102—791no—
1292#102—791no—
1293#102—791no—
1294#102—791no—
1295#102—791no—
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×C8C22×D7911yescharacteristic
1312C24—1581no—
1313C24—1581no—
1314#41—22no—
1315#41—41no—
1316#41—6322no—
1317C2×Q8—21no—
1318C2×Q8—791no—
1319C2×Q8—1581no—
1320C2×Q8—1581no—
1321C2×Q8—1581no—
1322C2×Q8—1581no—
1323C2×Q8C23×D7911yescharacteristic
1324C2×Q8C23×D7911yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—3161no—
1328C2×D4—3161no—
1329C2×D4—791no—
1330C2×D4—791no—
1331C2×D4—791no—
1332C2×D4—791no—
1333C2×D4—791no—
1334C2×D4—6322no—
1335C2×D4—1581no—
1336C2×D4—1581no—
1337C2×D4—1581no—
1338C2×D4—1581no—
1339C2×D4—1582no—
1340C2×D4—1582no—
1341C2×D4—1581no—
1342C2×D4—1581no—
1343C2×D4—1581no—
1344C2×D4—1581no—
1345C2×D4—1581no—
1346C2×D4—1581no—
1347C2×D4C23×D7911yescharacteristic
1348C2×D4C23×D7911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—791no—
1355C22×C4—791no—
1356C22×C4—791no—
1357C22×C4—791no—
1358C22×C4—6322no—
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×C4—1581no—
1370C22×C4C23×D7911yescharacteristic
1371Q16—41no—
1372SD16—22no—
1373SD16—41no—
1374SD16—3161no—
1375SD16—3161no—
1376D8—22no—
1377D8—3161no—
1378D8—3161no—
1379M16—3161no—
1380M16—3161no—
1381M16—3161no—
1382M16—3161no—
1383C2×C8—3161no—
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—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
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—791no—
1412C4⋊C4—791no—
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⋊C4D4×D7911yescharacteristic
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—21no—
1492C42—21no—
1493C42—791no—
1494C42—791no—
1495C42—791no—
1496C42—791no—
1497C42—1581no—
1498C42—1581no—
1499C42—1581no—
1500C42—1581no—
1501C42—1581no—
1502C42—1581no—
1503C42—1581no—
1504C42C23×D7911yescharacteristic
1505C42C23×D7911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—3162no—
1509C23—3162no—
1510C23—3162no—
1511C23—791no—
1512C23—791no—
1513C23—6321no—
1514C23—6321no—
1515C23—6321no—
1516C23—1581no—
1517C23—1581no—
1518C23C2×D4×D7911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—81no—
1524Q8—3161no—
1525Q8—6321no—
1526Q8—6321no—
1527Q8—6321no—
1528Q8—6321no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—42no—
1533D4—81no—
1534D4—3161no—
1535D4—3162no—
1536D4—3162no—
1537D4—3162no—
1538D4—3161no—
1539D4—3161no—
1540D4—6321no—
1541D4—6321no—
1542D4—6321no—
1543D4—6321no—
1544D4—6321no—
1545D4—6321no—
1546D4—6321no—
1547D4—1581no—
1548D4—1581no—
1549D4—1581no—
1550D4—1581no—
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—42no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—3161no—
1566C2×C4—3161no—
1567C2×C4—3162no—
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—1581no—
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×C4C2×D4×D7911yescharacteristic
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—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—3161no—
1618C22—3161no—
1619C22—3161no—
1620C22—3161no—
1621C22—3161no—
1622C22—3161no—
1623C22—6324no—
1624C22—1581no—
1625C22—1581no—
1626C22—1581no—
1627C22—1581no—
1628C22—1581no—
1629C22—1581no—
1630C22—12642no—
1631C22C22×D4×D7911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—3161no—
1644C4—3161no—
1645C4—3161no—
1646C4—3161no—
1647C4—3161no—
1648C4—3161no—
1649C4—1581no—
1650C4—1581no—
1651C4—1581no—
1652C4—1581no—
1653C4—1581no—
1654C4—1581no—
1655C4C2×#1457920811yescharacteristic
1656C4#1909939911yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—3161no—
1661C2—3161no—
1662C2—6321no—
1663C2—6321no—
1664C2#2377707211yescharacteristic
1665C2#2377817211yescharacteristic
1666C2#2377817811yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3125C2
socleC22×C79C23×D4
hypercenter#3125D79
hypocenterC79#62175
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ #117 ◁ #3125

Complements

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

NH ≅ G/Ntype
1. #23778051C2semidirect
2. #23777342C2semidirect
3. #23776359C2semidirect
4. #23776276C2semidirect
5. #23776169C2semidirect
6. #23776058C2semidirect
7. #23775988C2semidirect
8. #23775965C2semidirect
9. #23775963C2semidirect
10. #23775935C2semidirect
11. #23775838C2semidirect
12. #23775800C2semidirect
13. #23775633C2semidirect
14. #23775609C2semidirect
15. #23775594C2semidirect
16. #23775560C2semidirect
17. #23775546C2semidirect
18. #23775228C2semidirect
19. #23774859C2semidirect
20. #23774811C2semidirect
21. #23774799C2semidirect
22. #23774703C2semidirect
23. #23774655C2semidirect
24. #23774583C2semidirect
25. #23773583C2semidirect
26. #23773446C2semidirect
27. #23773251C2semidirect
28. #23773226C2semidirect
29. #23773198C2semidirect
30. #23772543C2semidirect
31. C79×#3125C2semidirect
35. #19099289C22semidirect
38. #19099277C22semidirect
40. #19099270C22semidirect
41. #19099265C22semidirect
46. #19099255C22semidirect
48. #19099247C22semidirect
56. #19099191C22semidirect
57. #19099190C22semidirect
59. #19099182C22semidirect
67. #19099118C22semidirect
69. #19099092C22semidirect
75. #19098972C22semidirect
76. #19098970C22semidirect
77. #19098965C22semidirect
78. #19098963C22semidirect
79. #19098963C22semidirect
80. #19098960C22semidirect
82. #19098924C22semidirect
83. #19098919C22semidirect
84. #19098919C22semidirect
85. #19098919C22semidirect
87. #19098903C22semidirect
88. #19098902C22semidirect
89. #19098902C22semidirect
90. #19098902C22semidirect
91. #19098897C22semidirect
92. #19098892C22semidirect
96. #19098888C22semidirect
97. #19098888C22semidirect
98. #19098886C22semidirect
100. #19098882C22semidirect
101. #19098880C22semidirect
102. #19098877C22semidirect
103. #19098872C22semidirect
104. #19098870C22semidirect
105. #19098870C22semidirect
106. #19098870C22semidirect
108. #19098865C22semidirect
109. #19098864C22semidirect
110. #19098864C22semidirect
113. #19098863C22semidirect
114. #19098862C22semidirect
115. #19098862C22semidirect
116. #19098862C22semidirect
119. #19098858C22semidirect
120. #19098858C22semidirect
121. #19098856C22semidirect
122. #19098854C22semidirect
123. #19098852C22semidirect
124. #19098850C22semidirect
125. #19098844C22semidirect
129. #19098841C22semidirect
130. #19098840C22semidirect
131. #19098818C22semidirect
133. #19098814C22semidirect
136. #19098811C22semidirect
137. #19098806C22semidirect
138. #19098806C22semidirect
139. #19098801C22semidirect
141. #19098797C22semidirect
142. #19098794C22semidirect
143. #19098787C22semidirect
144. #19098787C22semidirect
145. #19098780C22semidirect
146. #19098780C22semidirect
147. #19098775C22semidirect
148. #19098775C22semidirect
155. #19098691C22semidirect
156. C8×Dic158C22semidirect
158. #19098666C22semidirect
161. #19098648C22semidirect
163. #19098643C22semidirect
164. #19098643C22semidirect
166. #19098638C22semidirect
167. #19098638C22semidirect
169. #19098631C22semidirect
170. (C22⋊D79)⋊C8C22semidirect
171. #19098623C22semidirect
172. #19098615C22semidirect
173. #19098603C22semidirect
174. #19098602C22semidirect
175. #19098602C22semidirect
176. #19098602C22semidirect
177. #19098598C22semidirect
178. C2×#14579094C22semidirect
179. #19098590C22semidirect
180. #19098588C22semidirect
181. #19098585C22semidirect
188. #542×C79C22semidirect
190. #483×C79C22semidirect
191. #481×C79C22semidirect
193. #475×C79C22semidirect
194. #464×C79C22semidirect
199. #441×C79C22semidirect
201. C4×SD16×C79C22semidirect
202. #433×C79C22semidirect
858. #3125D79semidirect
865. C79#62175semidirect
896. #542C2×D79semidirect
929. #483C2×D79semidirect
939. #481C2×D79semidirect
964. #475C2×D79semidirect
985. #464C2×D79semidirect
1003. #441C2×D79semidirect
1009. C4×SD16C2×D79semidirect
1020. #433C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237780512
#237773422
#237763592
#237762762
#237761692
#237760582
#237759882
#237759652
#237759632
#237759352
#237758382
#237758002
#237756332
#237756092
#237755942
#237755602
#237755462
#237752282
#237748592
#237748112
#237747992
#237747032
#237746552
#237745832
#237735832
#237734462
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