Finite Group Databasebeta

← #35171238

Subgroups — #35171238

Order 20224.

1936 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777478C211yesmaximal, characteristic, complemented
2#23777419C211yesmaximal, characteristic, complemented
3#23776445C211yesmaximal, characteristic, complemented
4#23776305C211yesmaximal, characteristic, complemented
5#23776068C211yesmaximal, characteristic, complemented
6#23776061C211yesmaximal, characteristic, complemented
7#23776019C211yesmaximal, characteristic, complemented
8#23775874C211yesmaximal, characteristic, complemented
9#23775870C211yesmaximal, characteristic, complemented
10#23775345C211yesmaximal, characteristic, complemented
11#23775308C211yesmaximal, characteristic, complemented
12#23775304C211yesmaximal, characteristic, complemented
13#23775220C211yesmaximal, characteristic, complemented
14#23775209C211yesmaximal, characteristic, complemented
15#23775018C211yesmaximal, characteristic, complemented
16#23774899C211yesmaximal, characteristic, complemented
17#23774891C211yesmaximal, characteristic, complemented
18#23774090C211yesmaximal, characteristic, complemented
19#23774086C211yesmaximal, characteristic, complemented
20#23773974C211yesmaximal, characteristic, complemented
21#23773602C211yesmaximal, characteristic, complemented
22#23773596C211yesmaximal, characteristic, complemented
23#23773591C211yesmaximal, characteristic, complemented
24#23773577C211yesmaximal, characteristic, complemented
25#23773519C211yesmaximal, characteristic, complemented
26#23773486C211yesmaximal, characteristic, complemented
27#23772368C211yesmaximal, characteristic, complemented
28#23772226C211yesmaximal, characteristic, complemented
29#23772225C211yesmaximal, characteristic, complemented
30C2×#19098654C211yesmaximal, characteristic, complemented
31C79×#3294C211yesmaximal, characteristic, complemented
32C2×#14579187C2211yescharacteristic
33C2×#14579185C2211yescharacteristic
34C22×#11929612C2211yescharacteristic
35#19099297—21no—
36#19099296C2211yescharacteristic, complemented
37#19099293C2211yescharacteristic, complemented
38#19099277C2211yescharacteristic
39#19099272C2211yescharacteristic
40#19099268C2211yescharacteristic, complemented
41#19099267—21no—
42#19099265C2211yescharacteristic
43#19099259C2211yescharacteristic
44#19099256—21no—
45#19099233C2211yescharacteristic
46#19099231C2211yescharacteristic, complemented
47#19099222C2211yescharacteristic, complemented
48#19099219C2211yescharacteristic, complemented
49#19099214C2211yescharacteristic, complemented
50#19099212—21no—
51#19099211—21no—
52#19099207—21no—
53#19099200—21no—
54#19099200—21no—
55D4×C22⋊D79C2211yescharacteristic
56D4×C22⋊D79C2211yescharacteristic
57#19099187C2211yescharacteristic, complemented
58#19099183—21no—
59#19099181—21no—
60#19099180C2211yescharacteristic, complemented
61#19099167C2211yescharacteristic
62#19099166C2211yescharacteristic
63#19099150—21no—
64#19099148—21no—
65#19099109—21no—
66#19099108C2211yescharacteristic
67#19099108C2211yescharacteristic, complemented
68#19099093C2211yescharacteristic
69#19099090—21no—
70#19099069—21no—
71C2×#14579133—21no—
72#19099044C2211yescharacteristic, complemented
73#19099042C2211yescharacteristic, complemented
74#19099038C2211yescharacteristic
75#19099035C2211yescharacteristic
76C2×#14579126C2211yescharacteristic, complemented
77C2×D4×Dic79C2211yescharacteristic
78#19098971C2211yescharacteristic, complemented
79#19098969C2211yescharacteristic, complemented
80#19098967C2211yescharacteristic, complemented
81#19098951C2211yescharacteristic, complemented
82#19098950C2211yescharacteristic, complemented
83#19098938C2211yescharacteristic, complemented
84#19098918C2211yescharacteristic, complemented
85#19098916C2211yescharacteristic, complemented
86#19098908C2211yescharacteristic, complemented
87#19098908C2211yescharacteristic, complemented
88#19098908C2211yescharacteristic, complemented
89#19098906C2211yescharacteristic, complemented
90#19098905C2211yescharacteristic, complemented
91#19098890C2211yescharacteristic, complemented
92#19098884C2211yescharacteristic, complemented
93#19098882C2211yescharacteristic, complemented
94#19098881C2211yescharacteristic, complemented
95#19098880C2211yescharacteristic, complemented
96#19098879C2211yescharacteristic, complemented
97#19098876C2211yescharacteristic, complemented
98#19098875C2211yescharacteristic, complemented
99#19098871C2211yescharacteristic, complemented
100#19098869C2211yescharacteristic, complemented
101#19098866C2211yescharacteristic, complemented
102#19098863C2211yescharacteristic, complemented
103#19098857C2211yescharacteristic, complemented
104#19098857C2211yescharacteristic, complemented
105#19098851C2211yescharacteristic
106#19098851C2211yescharacteristic, complemented
107#19098851C2211yescharacteristic, complemented
108#19098850C2211yescharacteristic, complemented
109#19098841C2211yescharacteristic
110#19098815C2211yescharacteristic, complemented
111#19098814C2211yescharacteristic, complemented
112#19098808C2211yescharacteristic, complemented
113#19098807C2211yescharacteristic, complemented
114#19098799C2211yescharacteristic, complemented
115#19098798C2211yescharacteristic, complemented
116#19098797C2211yescharacteristic, complemented
117#19098797C2211yescharacteristic, complemented
118#19098792C2211yescharacteristic, complemented
119#19098791C2211yescharacteristic, complemented
120#19098779C2211yescharacteristic, complemented
121#19098778C2211yescharacteristic
122#19098776C2211yescharacteristic
123#19098776C2211yescharacteristic, complemented
124#19098762C2211yescharacteristic, complemented
125#19098762C2211yescharacteristic, complemented
126#19098762C2211yescharacteristic, complemented
127#19098760C2211yescharacteristic, complemented
128#19098757C2211yescharacteristic, complemented
129#19098756C2211yescharacteristic
130#19098756C2211yescharacteristic, complemented
131#19098715C2211yescharacteristic
132#19098714C2211yescharacteristic
133#19098710C2211yescharacteristic, complemented
134#19098706C2211yescharacteristic, complemented
135#19098705C2211yescharacteristic, complemented
136#19098705C2211yescharacteristic, complemented
137#19098704C2211yescharacteristic, complemented
138#19098701C2211yescharacteristic, complemented
139#19098698C2211yescharacteristic
140#19098697C2211yescharacteristic
141#19098692C2211yescharacteristic, complemented
142C8×Dic158C2211yescharacteristic, complemented
143#19098675C2211yescharacteristic
144#19098675C2211yescharacteristic, complemented
145#19098673C2211yescharacteristic, complemented
146#19098672C2211yescharacteristic
147#19098672C2211yescharacteristic, complemented
148#19098672C2211yescharacteristic, complemented
149#19098663C2211yescharacteristic
150#19098662C2211yescharacteristic, complemented
151#19098662C2211yescharacteristic, complemented
152#19098660C2211yescharacteristic
153#19098660C2211yescharacteristic, complemented
154#19098660C2211yescharacteristic, complemented
155#19098654C2211yescharacteristic
156#19098654C2211yescharacteristic
157#19098654C2211yescharacteristic
158#19098654C2211yescharacteristic
159#19098654C2211yescharacteristic, complemented
160#19098654C2211yescharacteristic, complemented
161#19098654C2211yescharacteristic, complemented
162#19098654C2211yescharacteristic, complemented
163#19098654C2211yescharacteristic, complemented
164C4×#11929613C2211yescharacteristic, complemented
165D8×Dic79C2211yescharacteristic, complemented
166#19098645C2211yescharacteristic, complemented
167#19098643C2211yescharacteristic
168#19098643C2211yescharacteristic, complemented
169#19098643C2211yescharacteristic, complemented
170#19098638C2211yescharacteristic, complemented
171#19098635C2211yescharacteristic, complemented
172#19098631C2211yescharacteristic, complemented
173C8×C22⋊D79C2211yescharacteristic, complemented
174C8×C22⋊D79C2211yescharacteristic, complemented
175#19098623C2211yescharacteristic, complemented
176#19098621C2211yescharacteristic, complemented
177#19098617C2211yescharacteristic, complemented
178#19098604C2211yescharacteristic, complemented
179#19098603C2211yescharacteristic, complemented
180C2×#14579092C2211yescharacteristic, complemented
181#19098560C2211yescharacteristic, complemented
182#19098556C2211yescharacteristic, complemented
183C2×#14579086C2211yescharacteristic, complemented
184#102×D79C2211yescharacteristic
185#19098518C2211yescharacteristic, complemented
186#19098517C2211yescharacteristic, complemented
187C2×C8×Dic79C2211yescharacteristic, complemented
188#547×C79C2211yescharacteristic, complemented
189D42×C79C2211yescharacteristic
190#486×C79C2211yescharacteristic, complemented
191#480×C79C2211yescharacteristic, complemented
192#480×C79C2211yescharacteristic, complemented
193#474×C79C2211yescharacteristic
194#466×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic, complemented
196#459×C79C2211yescharacteristic, complemented
197#447×C79C2211yescharacteristic
198#447×C79C2211yescharacteristic
199C4×D8×C79C2211yescharacteristic
200C8×D4×C79C2211yescharacteristic, complemented
201C2×#102×C79C2211yescharacteristic
202C2×#102×C79C2211yescharacteristic
203C2×#11929624—21no—
204C2×#11929624C2311yescharacteristic
205C2×#11929623—21no—
206C2×#11929623—21no—
207C2×#11929623—21no—
208C2×#11929623C2311yescharacteristic
209C22×Dic158C2311yescharacteristic
210C22×C22⋊D79—21no—
211C22×C22⋊D79—21no—
212C2×D4×D79C2311yescharacteristic
213C23×Dic79—21no—
214#14579187—24no—
215#14579185—24no—
216C2×#11929613C2311yescharacteristic
217C2×#11929613C2311yescharacteristic
218C2×#11929612—24no—
219C2×#11929612C2311yescharacteristic
220C2×#11929612C2311yescharacteristic
221C2×#11929612C2311yescharacteristic
222C2×#11929612C2311yescharacteristic
223C2×#11929612C2311yescharacteristic
224C2×#11929612C2311yescharacteristic
225C2×D632C2311yescharacteristic
226C2×#11929609C2311yescharacteristic
227C2×#11929609C2311yescharacteristic
228C2×#11929609C2311yescharacteristic
229C2×#11929609C2311yescharacteristic
230C2×#11929608C2311yescharacteristic
231C2×#11929607C2311yescharacteristic
232C22×C79⋊C8C2311yescharacteristic
233C2×C8×D79C2311yescharacteristic
234#14579160—21no—
235#14579160C2311yescharacteristic
236#14579160C2311yescharacteristic
237#14579160C2311yescharacteristic
238#14579159—21no—
239#14579159—21no—
240#14579157—21no—
241#14579157C2311yescharacteristic
242#14579157C2311yescharacteristic
243#14579157C2311yescharacteristic
244#14579156—21no—
245#14579156—21no—
246#14579156D411yescharacteristic
247#14579154—21no—
248#14579154—21no—
249#14579154D411yescharacteristic
250#14579153C2311yescharacteristic
251#14579152C2311yescharacteristic
252#14579151—21no—
253#14579151D411yescharacteristic
254#14579150—21no—
255#14579149C2311yescharacteristic
256#14579148—21no—
257#14579148—21no—
258#14579148C2311yescharacteristic
259#14579147—21no—
260#14579147—21no—
261#14579147—21no—
262#14579147—21no—
263#14579147—21no—
264#14579147—21no—
265#14579147D411yescharacteristic
266#14579146—21no—
267#14579146—21no—
268#14579145—21no—
269#14579145—21no—
270#14579145D411yescharacteristic
271#14579144—21no—
272#14579144—21no—
273#14579143—21no—
274#14579143—21no—
275#14579143—21no—
276#14579142—21no—
277#14579142—21no—
278#14579142—21no—
279#14579142D411yescharacteristic
280#14579141C2311yescharacteristic
281#14579140—21no—
282#14579140—21no—
283#14579140C2311yescharacteristic
284#14579139—21no—
285#14579139—21no—
286#14579139—21no—
287#14579138—21no—
288#14579138—21no—
289#14579138—21no—
290#14579138—21no—
291#14579138D411yescharacteristic
292#14579137—21no—
293#14579136C2311yescharacteristic
294#14579135C2311yescharacteristic
295#14579135C2311yescharacteristic
296#14579135C2311yescharacteristic
297#14579134—21no—
298#14579133—21no—
299#14579133—21no—
300#14579133—21no—
301#14579133—21no—
302#14579133—21no—
303#14579133—21no—
304#14579133—21no—
305#14579133—21no—
306#14579133—21no—
307#14579133—21no—
308#14579133—21no—
309#14579133—21no—
310#14579133—21no—
311#14579133—21no—
312#14579133—21no—
313#14579133D411yescharacteristic
314#14579132—21no—
315#14579132—21no—
316#14579132C2311yescharacteristic
317#14579132C2311yescharacteristic
318#14579130—21no—
319#14579130—21no—
320#14579129—21no—
321#14579129—21no—
322C4×Dic158C2311yescharacteristic
323C4×Dic158C2311yescharacteristic
324#14579126—21no—
325#14579126—21no—
326#14579126—21no—
327#14579126C2311yescharacteristic
328#14579126C2311yescharacteristic
329#14579126C2311yescharacteristic
330#14579126C2311yescharacteristic
331#14579126C2311yescharacteristic
332C4×D316C2311yescharacteristic
333D4×Dic79—21no—
334D4×Dic79—21no—
335D4×Dic79—21no—
336D4×Dic79—21no—
337D4×Dic79—21no—
338D4×Dic79—21no—
339D4×Dic79C2311yescharacteristic
340D4×Dic79C2311yescharacteristic
341D4×Dic79C2311yescharacteristic
342D4×Dic79C2311yescharacteristic
343D4×Dic79C2311yescharacteristic
344D4×Dic79C2311yescharacteristic
345D4×Dic79C2311yescharacteristic
346D4×Dic79C2311yescharacteristic
347#14579123C2311yescharacteristic
348#14579123C2311yescharacteristic
349#14579123C2311yescharacteristic
350C4×C22⋊D79—21no—
351C4×C22⋊D79—21no—
352C4×C22⋊D79—21no—
353C4×C22⋊D79—21no—
354C4×C22⋊D79—21no—
355C4×C22⋊D79—21no—
356C4×C22⋊D79C2311yescharacteristic
357C4×C22⋊D79C2311yescharacteristic
358(C22⋊D79)⋊C4—21no—
359(C22⋊D79)⋊C4—21no—
360(C22⋊D79)⋊C4—21no—
361(C22⋊D79)⋊C4—21no—
362(C22⋊D79)⋊C4—21no—
363(C22⋊D79)⋊C4—21no—
364(C22⋊D79)⋊C4—21no—
365#14579120C2311yescharacteristic
366#14579120C2311yescharacteristic
367#14579119—21no—
368#14579119C2311yescharacteristic
369#14579118C2311yescharacteristic
370#14579117—21no—
371#14579117—21no—
372C2×C4⋊Dic79C2311yescharacteristic
373C2×Dic79⋊C4—21no—
374C2×Dic79⋊C4—21no—
375C2×Dic79⋊C4—21no—
376C4⋊C4×D79—21no—
377C4⋊C4×D79C2311yescharacteristic
378C2×C22⋊Dic79—21no—
379C2×C22⋊Dic79—21no—
380C2×C22⋊Dic79—21no—
381C2×(C2×D79)⋊C4—21no—
382C22⋊C4×D79—21no—
383C2×C4×Dic79—21no—
384C2×C4×Dic79C2311yescharacteristic
385#14579095C2311yescharacteristic
386#14579094C2311yescharacteristic
387#14579094C2311yescharacteristic
388#14579094C2311yescharacteristic
389#14579094C2311yescharacteristic
390#14579093C2311yescharacteristic
391#14579093C2311yescharacteristic
392#14579092C2311yescharacteristic
393#14579092C2311yescharacteristic
394#14579092C2311yescharacteristic
395#14579092C2311yescharacteristic
396#14579092C2311yescharacteristic
397#14579092C2311yescharacteristic
398C4⋊(C79⋊C8)C2311yescharacteristic
399Dic79⋊C8C2311yescharacteristic
400Dic79⋊C8C2311yescharacteristic
401Dic79⋊C8C2311yescharacteristic
402Dic79⋊C8C2311yescharacteristic
403#14579086C2311yescharacteristic
404#14579086C2311yescharacteristic
405#14579086C2311yescharacteristic
406#14579086C2311yescharacteristic
407#14579086C2311yescharacteristic
408#14579086C2311yescharacteristic
409#14579084C2311yescharacteristic
410#14579084C2311yescharacteristic
411#14579083C2311yescharacteristic
412#14579083C2311yescharacteristic
413#14579083C2311yescharacteristic
414#14579083C2311yescharacteristic
415#14579082C2311yescharacteristic
416#14579082C2311yescharacteristic
417#14579082C2311yescharacteristic
418#14579082C2311yescharacteristic
419#14579082C2311yescharacteristic
420#14579082C2311yescharacteristic
421#14579081C2311yescharacteristic
422#14579081C2311yescharacteristic
423#14579081C2311yescharacteristic
424#14579081C2311yescharacteristic
425C22⋊(C79⋊C8)C2311yescharacteristic
426C22⋊(C79⋊C8)C2311yescharacteristic
427(C2×D79)⋊C8C2311yescharacteristic
428(C2×D79)⋊C8C2311yescharacteristic
429#14579072C2311yescharacteristic
430#14579071C2311yescharacteristic
431#14579071C2311yescharacteristic
432#14579071C2311yescharacteristic
433C8×Dic79C2311yescharacteristic
434C8×Dic79C2311yescharacteristic
435C8×Dic79C2311yescharacteristic
436C8×Dic79C2311yescharacteristic
437C8×Dic79C2311yescharacteristic
438C2×#41×C79—21no—
439C22×D4×C79—21no—
440C22×D4×C79C2311yescharacteristic
441C22×D4×C79C2311yescharacteristic
442C2×D8×C79C2311yescharacteristic
443C2×D8×C79C2311yescharacteristic
444C2×D8×C79C2311yescharacteristic
445C22×C8×C79C2311yescharacteristic
446C22×C8×C79C2311yescharacteristic
447C4⋊Q8×C79C2311yescharacteristic
448#127×C79C2311yescharacteristic
449#123×C79—21no—
450#123×C79—21no—
451C22⋊Q8×C79—21no—
452#121×C79—21no—
453#121×C79C2311yescharacteristic
454#121×C79C2311yescharacteristic
455#121×C79C2311yescharacteristic
456#121×C79C2311yescharacteristic
457#120×C79—21no—
458#120×C79—21no—
459C4×D4×C79C2311yescharacteristic
460C4×D4×C79C2311yescharacteristic
461C4×D4×C79C2311yescharacteristic
462C2×C4⋊C4×C79C2311yescharacteristic
463C2×C4⋊C4×C79C2311yescharacteristic
464#107×C79C2311yescharacteristic
465#107×C79C2311yescharacteristic
466#107×C79C2311yescharacteristic
467C4⋊C8×C79C2311yescharacteristic
468#102×C79C2311yescharacteristic
469#102×C79C2311yescharacteristic
470#102×C79C2311yescharacteristic
471#102×C79C2311yescharacteristic
472#102×C79C2311yescharacteristic
473#102×C79C2311yescharacteristic
474#102×C79C2311yescharacteristic
475#102×C79C2311yescharacteristic
476#102×C79C2311yescharacteristic
477#102×C79C2311yescharacteristic
478C22⋊C8×C79C2311yescharacteristic
479C22⋊C8×C79C2311yescharacteristic
480C4×C8×C79C2311yescharacteristic
481C23×D79—21no—
482#11929624—22no—
483#11929624—41no—
484#11929624—82no—
485#11929623—22no—
486#11929623—41no—
487#11929623—82no—
488#11929623—82no—
489#11929623—82no—
490C2×Dic158—22no—
491C2×Dic158—21no—
492C2×Dic158—21no—
493C2×Dic158—21no—
494C2×Dic158—21no—
495C2×Dic158—41no—
496C2×Dic158C2×D411yescharacteristic
497C2×Dic158C2411yescharacteristic
498C2×Dic158C2411yescharacteristic
499C2×D316—21no—
500C2×D316C2411yescharacteristic
501C2×D316C2411yescharacteristic
502C2×C22⋊D79—21no—
503C2×C22⋊D79—21no—
504C2×C22⋊D79—21no—
505C2×C22⋊D79—21no—
506C2×C22⋊D79—21no—
507C2×C22⋊D79—21no—
508C2×C22⋊D79—21no—
509C2×C22⋊D79—21no—
510C2×C22⋊D79—21no—
511C2×C22⋊D79—21no—
512C2×C22⋊D79—21no—
513C2×C22⋊D79—21no—
514C2×C22⋊D79—21no—
515C2×C22⋊D79—21no—
516C2×C22⋊D79—82no—
517C2×C22⋊D79—82no—
518C2×C22⋊D79C2×D411yescharacteristic
519C2×C22⋊D79C2×D411yescharacteristic
520D4×D79—22no—
521D4×D79—41no—
522C22×Dic79—21no—
523C22×Dic79—21no—
524C22×Dic79—21no—
525C22×Dic79—21no—
526C22×Dic79—21no—
527C22×Dic79—21no—
528C22×Dic79—21no—
529C22×Dic79—21no—
530C22×Dic79—21no—
531C22×Dic79—21no—
532C22×Dic79—21no—
533C22×Dic79—82no—
534C22×Dic79C2×D411yescharacteristic
535C22×Dic79C2×D411yescharacteristic
536C2×C4×D79—21no—
537C2×C4×D79—21no—
538C2×C4×D79—21no—
539C2×C4×D79—21no—
540C2×C4×D79—21no—
541C2×C4×D79—21no—
542C2×C4×D79C2411yescharacteristic
543#11929613—22no—
544#11929613—41no—
545#11929612—22no—
546#11929612—22no—
547#11929612—22no—
548#11929612—22no—
549#11929612—41no—
550#11929612#4114yescomplemented
551D632—41no—
552#11929609—22no—
553#11929609—22no—
554#11929609—22no—
555#11929609—41no—
556#11929608—22no—
557#11929607—22no—
558C2×C79⋊C8—22no—
559C2×C79⋊C8C2411yescharacteristic
560C2×C79⋊C8C2411yescharacteristic
561C2×C79⋊C8C2411yescharacteristic
562C2×C79⋊C8C2411yescharacteristic
563C8×D79—41no—
564C4⋊Dic79—21no—
565C4⋊Dic79—21no—
566C4⋊Dic79—21no—
567C4⋊Dic79C2×D411yescharacteristic
568C4⋊Dic79C2×D411yescharacteristic
569C4⋊Dic79C2×D411yescharacteristic
570C4⋊Dic79C2411yescharacteristic
571C4⋊Dic79C2411yescharacteristic
572C4⋊Dic79C2411yescharacteristic
573C4⋊Dic79C2411yescharacteristic
574Dic79⋊C4—21no—
575Dic79⋊C4—21no—
576Dic79⋊C4—21no—
577Dic79⋊C4—21no—
578Dic79⋊C4—21no—
579Dic79⋊C4—21no—
580Dic79⋊C4—21no—
581Dic79⋊C4—21no—
582Dic79⋊C4—21no—
583Dic79⋊C4—21no—
584Dic79⋊C4—21no—
585Dic79⋊C4—21no—
586Dic79⋊C4—21no—
587Dic79⋊C4—21no—
588Dic79⋊C4C2×D411yescharacteristic
589Dic79⋊C4C2×D411yescharacteristic
590Dic79⋊C4C2×D411yescharacteristic
591Dic79⋊C4C2×D411yescharacteristic
592Dic79⋊C4C2×D411yescharacteristic
593Dic79⋊C4C2×D411yescharacteristic
594C22⋊Dic79—21no—
595C22⋊Dic79—21no—
596C22⋊Dic79—21no—
597C22⋊Dic79—21no—
598C22⋊Dic79—21no—
599C22⋊Dic79—21no—
600C22⋊Dic79—21no—
601C22⋊Dic79—21no—
602C22⋊Dic79—21no—
603C22⋊Dic79—21no—
604C22⋊Dic79—21no—
605C22⋊Dic79—21no—
606C22⋊Dic79—21no—
607C22⋊Dic79—21no—
608C22⋊Dic79C2×D411yescharacteristic
609C22⋊Dic79C2×D411yescharacteristic
610C22⋊Dic79C2×D411yescharacteristic
611C22⋊Dic79C2×D411yescharacteristic
612(C2×D79)⋊C4—21no—
613(C2×D79)⋊C4—21no—
614(C2×D79)⋊C4—21no—
615(C2×D79)⋊C4—21no—
616(C2×D79)⋊C4—21no—
617(C2×D79)⋊C4—21no—
618(C2×D79)⋊C4—21no—
619(C2×D79)⋊C4—21no—
620(C2×D79)⋊C4—21no—
621(C2×D79)⋊C4—21no—
622(C2×D79)⋊C4—21no—
623(C2×D79)⋊C4—21no—
624(C2×D79)⋊C4C2×D411yescharacteristic
625(C2×D79)⋊C4C2×D411yescharacteristic
626(C2×D79)⋊C4C2×D411yescharacteristic
627(C2×D79)⋊C4C2×D411yescharacteristic
628C4×Dic79—21no—
629C4×Dic79—21no—
630C4×Dic79—21no—
631C4×Dic79—21no—
632C4×Dic79—21no—
633C4×Dic79—21no—
634C4×Dic79—21no—
635C4×Dic79—21no—
636C4×Dic79C2×D411yescharacteristic
637C4×Dic79C2×D411yescharacteristic
638C4×Dic79C2411yescharacteristic
639C4×Dic79C2411yescharacteristic
640C4×Dic79C2411yescharacteristic
641C24×C79—21no—
642C24×C79—21no—
643#41×C79—82no—
644C2×Q8×C79—21no—
645C2×D4×C79—22no—
646C2×D4×C79—22no—
647C2×D4×C79—21no—
648C2×D4×C79—21no—
649C2×D4×C79—21no—
650C2×D4×C79—21no—
651C2×D4×C79—21no—
652C2×D4×C79—21no—
653C2×D4×C79—21no—
654C2×D4×C79—21no—
655C2×D4×C79—41no—
656C2×D4×C79—41no—
657C2×D4×C79—82no—
658C2×D4×C79C2×D411yescharacteristic
659C2×D4×C79C2411yescharacteristic
660C2×D4×C79C2411yescharacteristic
661C2×D4×C79C2411yescharacteristic
662C2×D4×C79C2411yescharacteristic
663C22×C4×C79—21no—
664C22×C4×C79—21no—
665C22×C4×C79—21no—
666C22×C4×C79—21no—
667C22×C4×C79C2411yescharacteristic
668C22×C4×C79C2411yescharacteristic
669D8×C79—22no—
670D8×C79—41no—
671D8×C79—41no—
672C2×C8×C79—41no—
673C2×C8×C79—41no—
674C2×C8×C79C2411yescharacteristic
675C2×C8×C79C2411yescharacteristic
676C2×C8×C79C2411yescharacteristic
677C2×C8×C79C2411yescharacteristic
678C4⋊C4×C79—21no—
679C4⋊C4×C79—21no—
680C4⋊C4×C79—21no—
681C4⋊C4×C79C2×D411yescharacteristic
682C4⋊C4×C79C2411yescharacteristic
683C4⋊C4×C79C2411yescharacteristic
684C4⋊C4×C79C2411yescharacteristic
685C4⋊C4×C79C2411yescharacteristic
686C22⋊C4×C79—21no—
687C22⋊C4×C79—21no—
688C22⋊C4×C79—21no—
689C22⋊C4×C79—21no—
690C22⋊C4×C79—21no—
691C22⋊C4×C79—21no—
692C22⋊C4×C79C2×D411yescharacteristic
693C22⋊C4×C79C2×D411yescharacteristic
694C42×C79C2411yescharacteristic
695C23×C79—21no—
696C23×C79—21no—
697C23×C79—21no—
698C23×C79—21no—
699C23×C79—42no—
700C23×C79—42no—
701C23×C79—42no—
702C23×C79—81no—
703C23×C79—81no—
704C23×C79—81no—
705C23×C79C22×D411yescharacteristic
706C23×C79C22×D411yescharacteristic
707C22×D79—21no—
708C22×D79—21no—
709C22×D79—42no—
710C22×D79—81no—
711C22×D79—81no—
712C22×D79C22×D411yescharacteristic
713Q8×C79—81no—
714D4×C79—22no—
715D4×C79—21no—
716D4×C79—21no—
717D4×C79—21no—
718D4×C79—21no—
719D4×C79—21no—
720D4×C79—21no—
721D4×C79—21no—
722D4×C79—42no—
723D4×C79—42no—
724D4×C79—42no—
725D4×C79—42no—
726D4×C79—81no—
727D4×C79—81no—
728D4×C79—81no—
729D4×C79—81no—
730D4×C79C2×#4112yes—
731C2×C4×C79—21no—
732C2×C4×C79—21no—
733C2×C4×C79—21no—
734C2×C4×C79—21no—
735C2×C4×C79—21no—
736C2×C4×C79—21no—
737C2×C4×C79—21no—
738C2×C4×C79—21no—
739C2×C4×C79—42no—
740C2×C4×C79—81no—
741C2×C4×C79—81no—
742C2×C4×C79—81no—
743C2×C4×C79C22×D411yescharacteristic
744C2×C4×C79C22×D411yescharacteristic
745C2×C4×C79C22×D411yescharacteristic
746C2×C4×C79C22×D411yescharacteristic
747C2×C4×C79C2511yescharacteristic
748C22⋊D79—22no—
749C22⋊D79—22no—
750C22⋊D79—42no—
751C22⋊D79—42no—
752C22⋊D79—42no—
753C22⋊D79—42no—
754C22⋊D79—42no—
755C22⋊D79—42no—
756C22⋊D79—42no—
757C22⋊D79—81no—
758C22⋊D79—81no—
759C22⋊D79—81no—
760C22⋊D79—81no—
761C22⋊D79—81no—
762C22⋊D79—81no—
763C22⋊D79—81no—
764C2×Dic79—22no—
765C2×Dic79—21no—
766C2×Dic79—22no—
767C2×Dic79—21no—
768C2×Dic79—21no—
769C2×Dic79—21no—
770C2×Dic79—21no—
771C2×Dic79—21no—
772C2×Dic79—42no—
773C2×Dic79—42no—
774C2×Dic79—42no—
775C2×Dic79—42no—
776C2×Dic79—81no—
777C2×Dic79—81no—
778C2×Dic79—81no—
779C2×Dic79—81no—
780C2×Dic79—81no—
781C2×Dic79—81no—
782C2×Dic79—81no—
783C2×Dic79C22×D411yescharacteristic
784C2×Dic79C22×D411yescharacteristic
785C2×Dic79C22×D411yescharacteristic
786C2×Dic79C22×D411yescharacteristic
787C2×Dic79C22×D411yescharacteristic
788C2×Dic79C22×D411yescharacteristic
789C2×Dic79C22×D411yescharacteristic
790D316—21no—
791D316—21no—
792D316—21no—
793D316—21no—
794D316—81no—
795C4×D79—21no—
796C4×D79—21no—
797C4×D79—42no—
798C4×D79—81no—
799C4×D79—81no—
800C4×D79—81no—
801C4×D79—81no—
802C4×D79—81no—
803Dic158—21no—
804Dic158—22no—
805Dic158—21no—
806Dic158—21no—
807Dic158—42no—
808Dic158—81no—
809Dic158—81no—
810Dic158—81no—
811Dic158C2×#4112yes—
812C8×C79—21no—
813C8×C79—21no—
814C8×C79—21no—
815C8×C79—21no—
816C79⋊C8—21no—
817C79⋊C8—21no—
818C79⋊C8—21no—
819C79⋊C8C2×#4112yes—
820C22×C79—21no—
821C22×C79—21no—
822C22×C79—21no—
823C22×C79—22no—
824C22×C79—21no—
825C22×C79—21no—
826C22×C79—41no—
827C22×C79—41no—
828C22×C79—41no—
829C22×C79—41no—
830C22×C79—41no—
831C22×C79—41no—
832C22×C79—41no—
833C22×C79—41no—
834C22×C79—41no—
835C22×C79—41no—
836C22×C79—41no—
837C22×C79—84no—
838C22×C79—162no—
839C22×C79#57612yes—
840C22×C79C23×D411yescharacteristic
841C2×D79—21no—
842C2×D79—21no—
843C2×D79—21no—
844C2×D79—41no—
845C2×D79—41no—
846C2×D79—41no—
847C2×D79—41no—
848C2×D79—41no—
849C2×D79—41no—
850C2×D79—162no—
851C4×C79—21no—
852C4×C79—21no—
853C4×C79—21no—
854C4×C79—21no—
855C4×C79—41no—
856C4×C79—41no—
857C4×C79—41no—
858C4×C79—41no—
859C4×C79C22×#4111yescharacteristic
860C4×C79#58511yescharacteristic
861Dic79—22no—
862Dic79—21no—
863Dic79—21no—
864Dic79—21no—
865Dic79—21no—
866Dic79—21no—
867Dic79—21no—
868Dic79—41no—
869Dic79—41no—
870Dic79—41no—
871Dic79—41no—
872Dic79—41no—
873Dic79#57712yes—
874#61498—791nomaximal, Sylow
875C2×C79—22no—
876C2×C79—42no—
877C2×C79—41no—
878C2×C79—81no—
879C2×C79—81no—
880C2×C79—81no—
881C2×C79D4×#4111yescharacteristic
882C2×C79C2×#57611yescharacteristic
883C2×C79C2×#57711yescharacteristic
884D79—41no—
885D79—81no—
886D79—81no—
887#3522—791no—
888#3519—791no—
889#3399—791no—
890#3385—791no—
891#3362—791no—
892#3361—791no—
893#3357—791no—
894#3345—791no—
895#3345—791no—
896#3305—791no—
897#3301—791no—
898#3301—791no—
899#3295—791no—
900#3294—791no—
901#3294D7911yescharacteristic, complemented
902#3274—791no—
903#3265—791no—
904#3265—791no—
905#3179—791no—
906#3179—791no—
907#3169—791no—
908#3119—791no—
909#3119—791no—
910#3118—791no—
911#3118—791no—
912#3112—791no—
913#3109—791no—
914#2966—791no—
915#2946—791no—
916#2946—791no—
917C2×C4×SD16—791no—
918C79#6149811yescharacteristic, complemented, Sylow
919C2×AGL(1,ℤ/8)—791no—
920C2×AGL(1,ℤ/8)—791no—
921C22×SD16—791no—
922#559—791no—
923#559—1581no—
924Q82—791no—
925#555—791no—
926#554—791no—
927#554—791no—
928#554—1581no—
929#553—791no—
930#553—791no—
931#553—1581no—
932#550—791no—
933#550—791no—
934#548—791no—
935#548—791no—
936#547—791no—
937#547—1581no—
938#547—1581no—
939#547C2×D7911yescharacteristic, complemented
940#546—1581no—
941#546—1581no—
942#546—1581no—
943D42—791no—
944D42—791no—
945D42C2×D7911yescharacteristic
946#542—791no—
947#542—791no—
948#542—1581no—
949#542—1581no—
950#540—791no—
951#540—791no—
952#538—1581no—
953#538—1581no—
954#532—791no—
955#532—791no—
956#532—1581no—
957#529—791no—
958#529—1581no—
959#525—1581no—
960C2×#121—1581no—
961#520—791no—
962#520—791no—
963#518—791no—
964#518—791no—
965C2×C4×Q8—791no—
966C2×C4×D4—791no—
967#501—791no—
968#501—791no—
969#500—791no—
970#496—791no—
971#496—791no—
972#493—791no—
973#488—791no—
974#488—791no—
975#486—791no—
976#486—791no—
977#486—791no—
978#486C2×D7911yescharacteristic, complemented
979#485—791no—
980#485—791no—
981#482—791no—
982#482—791no—
983#481—791no—
984#481—791no—
985#481—791no—
986#481—791no—
987#480—791no—
988#480—791no—
989#480C2×D7911yescharacteristic, complemented
990#480C2×D7911yescharacteristic, complemented
991#479—791no—
992#479—791no—
993#478—791no—
994#478—791no—
995#477—791no—
996#477—791no—
997#476—791no—
998#476—791no—
999#476—791no—
1000#476—791no—
1001#474—791no—
1002#474C2×D7911yescharacteristic
1003#469—791no—
1004#469—791no—
1005#468—791no—
1006#468—791no—
1007#466—791no—
1008#466—791no—
1009#466—791no—
1010#466—791no—
1011#466C2×D7911yescharacteristic, complemented
1012#466C2×D7911yescharacteristic, complemented
1013#465—791no—
1014#465—791no—
1015#463—791no—
1016#463—791no—
1017#463—791no—
1018#463—791no—
1019#460—791no—
1020#460—791no—
1021#460—791no—
1022#460—791no—
1023#459—791no—
1024#459—791no—
1025#459—791no—
1026#459C2×D7911yescharacteristic, complemented
1027#450—791no—
1028#450—791no—
1029#449—791no—
1030#449—791no—
1031#449—791no—
1032#449—791no—
1033#448—791no—
1034#448—791no—
1035#447—791no—
1036#447—791no—
1037#447C2×D7911yescharacteristic
1038#447C2×D7911yescharacteristic
1039#446—791no—
1040C8×Q8—791no—
1041#442—791no—
1042#442—791no—
1043#442—791no—
1044#442—791no—
1045#442—791no—
1046#442—791no—
1047#440—791no—
1048#440—791no—
1049#440—791no—
1050#440—791no—
1051#440—791no—
1052#440—791no—
1053C4×SD16—791no—
1054C4×SD16—791no—
1055C4×SD16—791no—
1056C4×SD16—791no—
1057C4×SD16—791no—
1058C4×SD16—791no—
1059C4×SD16—791no—
1060C4×SD16—791no—
1061C4×SD16—791no—
1062C4×SD16—791no—
1063C4×D8—791no—
1064C4×D8—791no—
1065C4×D8—791no—
1066C4×D8—791no—
1067C4×D8—791no—
1068C4×D8C2×D7911yescharacteristic
1069#436—791no—
1070#435—791no—
1071#435—791no—
1072C8×D4—791no—
1073C8×D4—791no—
1074C8×D4C2×D7911yescharacteristic, complemented
1075#433—791no—
1076#433—791no—
1077#432—791no—
1078#428—791no—
1079#428—791no—
1080C2×#106—791no—
1081#416—791no—
1082#416—791no—
1083C2×#103—791no—
1084C2×#102—791no—
1085C2×#102C2×D7911yescharacteristic
1086C2×#102C2×D7911yescharacteristic
1087#405—791no—
1088#405—791no—
1089C2×C4×C8—791no—
1090C2×#41—21no—
1091C2×#41—791no—
1092C2×#41—791no—
1093C2×#41—1581no—
1094C2×#41—1581no—
1095C2×#41—1581no—
1096C2×#41—1581no—
1097C22×Q8—791no—
1098C22×D4—21no—
1099C22×D4—791no—
1100C22×D4—1581no—
1101C22×D4—1581no—
1102C22×D4C22×D7911yescharacteristic
1103C22×D4C22×D7911yescharacteristic
1104C23×C4—1581no—
1105AGL(1,ℤ/8)—1584no—
1106AGL(1,ℤ/8)—1584no—
1107C2×SD16—791no—
1108C2×SD16—791no—
1109C2×SD16—791no—
1110C2×SD16—791no—
1111C2×SD16—791no—
1112C2×SD16—791no—
1113C2×SD16—791no—
1114C2×SD16—791no—
1115C2×SD16—1584no—
1116C2×D8—791no—
1117C2×D8—791no—
1118C2×D8—791no—
1119C2×D8—791no—
1120C2×D8—791no—
1121C2×D8C22×D7911yescharacteristic
1122C2×D8C22×D7911yescharacteristic
1123C2×D8C22×D7911yescharacteristic
1124C2×M16—791no—
1125C2×M16—791no—
1126C22×C8—791no—
1127C22×C8—791no—
1128C22×C8C22×D7911yescharacteristic
1129C22×C8C22×D7911yescharacteristic
1130C4⋊Q8—791no—
1131C4⋊Q8—791no—
1132C4⋊Q8—791no—
1133C4⋊Q8—1581no—
1134C4⋊Q8—1581no—
1135C4⋊Q8—1581no—
1136C4⋊Q8C22×D7911yescharacteristic
1137#127—791no—
1138#127—791no—
1139#127—791no—
1140#127—1581no—
1141#127C22×D7911yescharacteristic
1142#126—791no—
1143#126—791no—
1144#126—1581no—
1145#126—1581no—
1146#126—1581no—
1147#126—1581no—
1148#125—791no—
1149#125—791no—
1150#125—791no—
1151#125—1581no—
1152#124—791no—
1153#124—791no—
1154#124—791no—
1155#124—1581no—
1156#124—1581no—
1157#124—1581no—
1158#124—1581no—
1159#124—1581no—
1160#124—1581no—
1161#124—1581no—
1162#124—1581no—
1163#124—1581no—
1164#123—21no—
1165#123—21no—
1166#123—791no—
1167#123—791no—
1168#123—1581no—
1169#123—1581no—
1170#123—1581no—
1171#123—1581no—
1172#123—1581no—
1173#123—1581no—
1174#123—1581no—
1175#123—1581no—
1176#123—1581no—
1177#123—1581no—
1178#123—1581no—
1179#123—1581no—
1180C22⋊Q8—21no—
1181C22⋊Q8—791no—
1182C22⋊Q8—791no—
1183C22⋊Q8—791no—
1184C22⋊Q8—1581no—
1185C22⋊Q8—1581no—
1186C22⋊Q8—1581no—
1187C22⋊Q8—1581no—
1188C22⋊Q8—1581no—
1189C22⋊Q8—1581no—
1190C22⋊Q8—1581no—
1191C22⋊Q8—1581no—
1192C22⋊Q8—1581no—
1193C22⋊Q8—1581no—
1194#121—21no—
1195#121—791no—
1196#121—791no—
1197#121—791no—
1198#121—791no—
1199#121—791no—
1200#121—791no—
1201#121—791no—
1202#121—1581no—
1203#121—1581no—
1204#121—1581no—
1205#121—1581no—
1206#121—1581no—
1207#121—1581no—
1208#121—1581no—
1209#121—1581no—
1210#121—1581no—
1211#121—1581no—
1212#121—1581no—
1213#121—1581no—
1214#121—1581no—
1215#121—1581no—
1216#121—1581no—
1217#121—1581no—
1218#121—1581no—
1219#121—1581no—
1220#121C22×D7911yescharacteristic
1221#121C22×D7911yescharacteristic
1222#121C22×D7911yescharacteristic
1223#121C22×D7911yescharacteristic
1224#120—21no—
1225#120—21no—
1226#120—1581no—
1227#120—1581no—
1228#120—1581no—
1229#120—1581no—
1230C4×Q8—791no—
1231C4×Q8—791no—
1232C4×Q8—791no—
1233C4×Q8—791no—
1234C4×Q8—791no—
1235C4×Q8—791no—
1236C4×Q8—791no—
1237C4×Q8—1581no—
1238C4×Q8—1581no—
1239C4×Q8—1581no—
1240C4×D4—791no—
1241C4×D4—791no—
1242C4×D4—791no—
1243C4×D4—791no—
1244C4×D4—791no—
1245C4×D4—791no—
1246C4×D4—791no—
1247C4×D4—791no—
1248C4×D4—791no—
1249C4×D4—791no—
1250C4×D4—791no—
1251C4×D4—791no—
1252C4×D4—791no—
1253C4×D4—791no—
1254C4×D4—1581no—
1255C4×D4—1581no—
1256C4×D4—1581no—
1257C4×D4—1581no—
1258C4×D4—1581no—
1259C4×D4—1581no—
1260C4×D4—1581no—
1261C4×D4—1581no—
1262C4×D4—1581no—
1263C4×D4—1581no—
1264C4×D4—1581no—
1265C4×D4—1581no—
1266C4×D4—1581no—
1267C4×D4—1581no—
1268C4×D4—1581no—
1269C4×D4—1581no—
1270C4×D4—1581no—
1271C4×D4—1581no—
1272C4×D4—1581no—
1273C4×D4C22×D7911yescharacteristic
1274C4×D4C22×D7911yescharacteristic
1275C4×D4C22×D7911yescharacteristic
1276#117—791no—
1277#117—791no—
1278#117—791no—
1279#117—791no—
1280#117—1581no—
1281#117—1581no—
1282#117—1581no—
1283C2×C4⋊C4—791no—
1284C2×C4⋊C4—791no—
1285C2×C4⋊C4—1581no—
1286C2×C4⋊C4—1581no—
1287C2×C4⋊C4—1581no—
1288C2×C4⋊C4—1581no—
1289C2×C4⋊C4C22×D7911yescharacteristic
1290C2×C4⋊C4C22×D7911yescharacteristic
1291C2×C22⋊C4—1581no—
1292C2×C22⋊C4—1581no—
1293C2×C22⋊C4—1581no—
1294C2×C22⋊C4—1581no—
1295C2×C22⋊C4—1581no—
1296C2×C42—791no—
1297C2×C42—1581no—
1298#107—791no—
1299#107—791no—
1300#107—791no—
1301#107—791no—
1302#107—791no—
1303#107C22×D7911yescharacteristic
1304#107C22×D7911yescharacteristic
1305#107C22×D7911yescharacteristic
1306#106—791no—
1307#106—791no—
1308#106—791no—
1309#106—791no—
1310#106—791no—
1311#106—791no—
1312#106—791no—
1313#106—791no—
1314C4⋊C8—791no—
1315C4⋊C8—791no—
1316C4⋊C8—791no—
1317C4⋊C8—791no—
1318C4⋊C8—791no—
1319C4⋊C8C22×D7911yescharacteristic
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#102—791no—
1329#102—791no—
1330#102—791no—
1331#102—791no—
1332#102—791no—
1333#102—791no—
1334#102—791no—
1335#102—791no—
1336#102—791no—
1337#102—791no—
1338#102—791no—
1339#102—791no—
1340#102—791no—
1341#102—791no—
1342#102C22×D7911yescharacteristic
1343#102C22×D7911yescharacteristic
1344#102C22×D7911yescharacteristic
1345#102C22×D7911yescharacteristic
1346#102C22×D7911yescharacteristic
1347#102C22×D7911yescharacteristic
1348#102C22×D7911yescharacteristic
1349#102C22×D7911yescharacteristic
1350#102C22×D7911yescharacteristic
1351#102C22×D7911yescharacteristic
1352C22⋊C8—791no—
1353C22⋊C8—791no—
1354C22⋊C8—791no—
1355C22⋊C8—791no—
1356C22⋊C8C22×D7911yescharacteristic
1357C22⋊C8C22×D7911yescharacteristic
1358#97—791no—
1359#97—791no—
1360#97—791no—
1361#97—791no—
1362C4×C8—791no—
1363C4×C8—791no—
1364C4×C8—791no—
1365C4×C8—791no—
1366C4×C8—791no—
1367C4×C8C22×D7911yescharacteristic
1368C24—21no—
1369C24—21no—
1370C24—1581no—
1371#41—82no—
1372#41—3161no—
1373#41—3161no—
1374#41—6322no—
1375#41—6322no—
1376#41—6322no—
1377#41—6322no—
1378#41—1582no—
1379#41—1582no—
1380C2×Q8—21no—
1381C2×Q8—3161no—
1382C2×Q8—791no—
1383C2×Q8—791no—
1384C2×Q8—791no—
1385C2×Q8—1582no—
1386C2×Q8—1581no—
1387C2×Q8—1581no—
1388C2×Q8—1581no—
1389C2×Q8—1581no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—82no—
1403C2×D4—3161no—
1404C2×D4—791no—
1405C2×D4—791no—
1406C2×D4—791no—
1407C2×D4—791no—
1408C2×D4—6322no—
1409C2×D4—6322no—
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×D4—1581no—
1420C2×D4—1581no—
1421C2×D4—1581no—
1422C2×D4—1582no—
1423C2×D4—1581no—
1424C2×D4—1581no—
1425C2×D4—1581no—
1426C2×D4D4×D7911yescharacteristic
1427C2×D4C23×D7911yescharacteristic
1428C2×D4C23×D7911yescharacteristic
1429C2×D4C23×D7911yescharacteristic
1430C2×D4C23×D7911yescharacteristic
1431C22×C4—21no—
1432C22×C4—21no—
1433C22×C4—21no—
1434C22×C4—21no—
1435C22×C4—791no—
1436C22×C4—791no—
1437C22×C4—791no—
1438C22×C4—6322no—
1439C22×C4—1581no—
1440C22×C4—1581no—
1441C22×C4—1581no—
1442C22×C4—1581no—
1443C22×C4—1581no—
1444C22×C4—1581no—
1445C22×C4—1581no—
1446C22×C4—1581no—
1447C22×C4—1581no—
1448C22×C4—1581no—
1449C22×C4—1581no—
1450C22×C4—1581no—
1451C22×C4—1581no—
1452C22×C4—1581no—
1453C22×C4—1581no—
1454C22×C4—1581no—
1455C22×C4—1581no—
1456C22×C4C23×D7911yescharacteristic
1457C22×C4C23×D7911yescharacteristic
1458SD16—3161no—
1459SD16—3161no—
1460SD16—794no—
1461SD16—1582no—
1462SD16—1582no—
1463SD16—1582no—
1464SD16—1582no—
1465SD16—1582no—
1466D8—22no—
1467D8—41no—
1468D8—41no—
1469D8—3161no—
1470D8—3161no—
1471D8—1582no—
1472D8—1582no—
1473D8—1582no—
1474M16—1582no—
1475M16—1582no—
1476C2×C8—41no—
1477C2×C8—41no—
1478C2×C8—3161no—
1479C2×C8—791no—
1480C2×C8—791no—
1481C2×C8—791no—
1482C2×C8—791no—
1483C2×C8—1582no—
1484C2×C8C23×D7911yescharacteristic
1485C2×C8C23×D7911yescharacteristic
1486C2×C8C23×D7911yescharacteristic
1487C2×C8C23×D7911yescharacteristic
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—791no—
1492C4⋊C4—791no—
1493C4⋊C4—791no—
1494C4⋊C4—791no—
1495C4⋊C4—791no—
1496C4⋊C4—791no—
1497C4⋊C4—791no—
1498C4⋊C4—791no—
1499C4⋊C4—791no—
1500C4⋊C4—791no—
1501C4⋊C4—791no—
1502C4⋊C4—791no—
1503C4⋊C4—791no—
1504C4⋊C4—1581no—
1505C4⋊C4—1581no—
1506C4⋊C4—1581no—
1507C4⋊C4—1581no—
1508C4⋊C4—1581no—
1509C4⋊C4—1581no—
1510C4⋊C4—1581no—
1511C4⋊C4—1581no—
1512C4⋊C4—1581no—
1513C4⋊C4—1581no—
1514C4⋊C4—1581no—
1515C4⋊C4—1581no—
1516C4⋊C4—1581no—
1517C4⋊C4—1581no—
1518C4⋊C4—1581no—
1519C4⋊C4—1581no—
1520C4⋊C4—1581no—
1521C4⋊C4D4×D7911yescharacteristic
1522C4⋊C4C23×D7911yescharacteristic
1523C4⋊C4C23×D7911yescharacteristic
1524C4⋊C4C23×D7911yescharacteristic
1525C4⋊C4C23×D7911yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—791no—
1533C22⋊C4—791no—
1534C22⋊C4—791no—
1535C22⋊C4—791no—
1536C22⋊C4—791no—
1537C22⋊C4—791no—
1538C22⋊C4—791no—
1539C22⋊C4—791no—
1540C22⋊C4—1581no—
1541C22⋊C4—1581no—
1542C22⋊C4—1581no—
1543C22⋊C4—1581no—
1544C22⋊C4—1581no—
1545C22⋊C4—1581no—
1546C22⋊C4—1581no—
1547C22⋊C4—1581no—
1548C22⋊C4—1581no—
1549C22⋊C4—1581no—
1550C22⋊C4—1581no—
1551C22⋊C4—1581no—
1552C22⋊C4—1581no—
1553C22⋊C4—1581no—
1554C22⋊C4—1581no—
1555C22⋊C4—1581no—
1556C22⋊C4—1581no—
1557C22⋊C4—1581no—
1558C22⋊C4—1581no—
1559C22⋊C4—1581no—
1560C22⋊C4—1581no—
1561C22⋊C4—1581no—
1562C22⋊C4—1581no—
1563C22⋊C4—1581no—
1564C22⋊C4—1581no—
1565C22⋊C4—1581no—
1566C22⋊C4D4×D7911yescharacteristic
1567C22⋊C4D4×D7911yescharacteristic
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—
1581C42C23×D7911yescharacteristic
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—42no—
1588C23—42no—
1589C23—81no—
1590C23—81no—
1591C23—81no—
1592C23—3162no—
1593C23—791no—
1594C23—6321no—
1595C23—6321no—
1596C23—1581no—
1597C23—1581no—
1598C23C2×D4×D7911yescharacteristic
1599C23C2×D4×D7911yescharacteristic
1600Q8—81no—
1601Q8—3162no—
1602Q8—792no—
1603Q8—6321no—
1604Q8—6321no—
1605Q8—6321no—
1606Q8—1582no—
1607Q8—1581no—
1608Q8—1581no—
1609Q8—1581no—
1610D4—22no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—42no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—81no—
1626D4—3162no—
1627D4—3162no—
1628D4—3162no—
1629D4—3162no—
1630D4—3162no—
1631D4—3162no—
1632D4—3162no—
1633D4—6321no—
1634D4—6321no—
1635D4—6321no—
1636D4—6321no—
1637D4—6321no—
1638D4—6321no—
1639D4—6321no—
1640D4—6321no—
1641D4—1582no—
1642D4—1582no—
1643D4—1581no—
1644D4—1581no—
1645D4—1581no—
1646D4—1581no—
1647D4#41×D7912yes—
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—42no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—3162no—
1661C2×C4—3162no—
1662C2×C4—3162no—
1663C2×C4—3162no—
1664C2×C4—3162no—
1665C2×C4—791no—
1666C2×C4—791no—
1667C2×C4—791no—
1668C2×C4—791no—
1669C2×C4—791no—
1670C2×C4—791no—
1671C2×C4—791no—
1672C2×C4—6321no—
1673C2×C4—6321no—
1674C2×C4—6321no—
1675C2×C4—6321no—
1676C2×C4—6321no—
1677C2×C4—6321no—
1678C2×C4—6321no—
1679C2×C4—6321no—
1680C2×C4—6321no—
1681C2×C4—6321no—
1682C2×C4—6321no—
1683C2×C4—6321no—
1684C2×C4—1581no—
1685C2×C4—1581no—
1686C2×C4—1581no—
1687C2×C4—1581no—
1688C2×C4—1581no—
1689C2×C4—1582no—
1690C2×C4—1582no—
1691C2×C4—1581no—
1692C2×C4—1581no—
1693C2×C4—1581no—
1694C2×C4C2×D4×D7911yescharacteristic
1695C2×C4C2×D4×D7911yescharacteristic
1696C2×C4C2×D4×D7911yescharacteristic
1697C2×C4C2×D4×D7911yescharacteristic
1698C2×C4C24×D7911yescharacteristic
1699C8—21no—
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—792no—
1704C8—1581no—
1705C8—1581no—
1706C8—1581no—
1707C22—21no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—22no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—84no—
1725C22—162no—
1726C22—3161no—
1727C22—3161no—
1728C22—3161no—
1729C22—3161no—
1730C22—3161no—
1731C22—3161no—
1732C22—1581no—
1733C22—1581no—
1734C22—1581no—
1735C22—12642no—
1736C22#1909936412yes—
1737C22C22×D4×D7911yescharacteristic
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—21no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—3161no—
1747C4—3161no—
1748C4—3161no—
1749C4—3161no—
1750C4—3161no—
1751C4—792no—
1752C4—1581no—
1753C4—1581no—
1754C4—1581no—
1755C4—1581no—
1756C4—1581no—
1757C4—1582no—
1758C4—1581no—
1759C4C2×#41×D7911yescharacteristic
1760C4#1909939811yescharacteristic
1761C2—22no—
1762C2—41no—
1763C2—42no—
1764C2—81no—
1765C2—81no—
1766C2—81no—
1767C2—3161no—
1768C2—6321no—
1769C2—6321no—
1770C2#2377688411yescharacteristic
1771C2C2×#1909936411yescharacteristic
1772C2#577×D7911yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3294C2
socleC22×C79C23×D4
hypercenter#3294D79
hypocenterC79#61498
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3294

Complements

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

NH ≅ G/Ntype
1. #23777478C2semidirect
2. #23777419C2semidirect
3. #23776445C2semidirect
4. #23776305C2semidirect
5. #23776068C2semidirect
6. #23776061C2semidirect
7. #23776019C2semidirect
8. #23775874C2semidirect
9. #23775870C2semidirect
10. #23775345C2semidirect
11. #23775308C2semidirect
12. #23775304C2semidirect
13. #23775220C2semidirect
14. #23775209C2semidirect
15. #23775018C2semidirect
16. #23774899C2semidirect
17. #23774891C2semidirect
18. #23774090C2semidirect
19. #23774086C2semidirect
20. #23773974C2semidirect
21. #23773602C2semidirect
22. #23773596C2semidirect
23. #23773591C2semidirect
24. #23773577C2semidirect
25. #23773519C2semidirect
26. #23773486C2semidirect
27. #23772368C2semidirect
28. #23772226C2semidirect
29. #23772225C2semidirect
30. C2×#19098654C2semidirect
31. C79×#3294C2semidirect
36. #19099296C22semidirect
37. #19099293C22semidirect
40. #19099268C22semidirect
46. #19099231C22semidirect
47. #19099222C22semidirect
48. #19099219C22semidirect
49. #19099214C22semidirect
57. #19099187C22semidirect
60. #19099180C22semidirect
67. #19099108C22semidirect
72. #19099044C22semidirect
73. #19099042C22semidirect
76. C2×#14579126C22semidirect
78. #19098971C22semidirect
79. #19098969C22semidirect
80. #19098967C22semidirect
81. #19098951C22semidirect
82. #19098950C22semidirect
83. #19098938C22semidirect
84. #19098918C22semidirect
85. #19098916C22semidirect
86. #19098908C22semidirect
87. #19098908C22semidirect
88. #19098908C22semidirect
89. #19098906C22semidirect
90. #19098905C22semidirect
91. #19098890C22semidirect
92. #19098884C22semidirect
93. #19098882C22semidirect
94. #19098881C22semidirect
95. #19098880C22semidirect
96. #19098879C22semidirect
97. #19098876C22semidirect
98. #19098875C22semidirect
99. #19098871C22semidirect
100. #19098869C22semidirect
101. #19098866C22semidirect
102. #19098863C22semidirect
103. #19098857C22semidirect
104. #19098857C22semidirect
106. #19098851C22semidirect
107. #19098851C22semidirect
108. #19098850C22semidirect
110. #19098815C22semidirect
111. #19098814C22semidirect
112. #19098808C22semidirect
113. #19098807C22semidirect
114. #19098799C22semidirect
115. #19098798C22semidirect
116. #19098797C22semidirect
117. #19098797C22semidirect
118. #19098792C22semidirect
119. #19098791C22semidirect
120. #19098779C22semidirect
123. #19098776C22semidirect
124. #19098762C22semidirect
125. #19098762C22semidirect
126. #19098762C22semidirect
127. #19098760C22semidirect
128. #19098757C22semidirect
130. #19098756C22semidirect
133. #19098710C22semidirect
134. #19098706C22semidirect
135. #19098705C22semidirect
136. #19098705C22semidirect
137. #19098704C22semidirect
138. #19098701C22semidirect
141. #19098692C22semidirect
142. C8×Dic158C22semidirect
144. #19098675C22semidirect
145. #19098673C22semidirect
147. #19098672C22semidirect
148. #19098672C22semidirect
150. #19098662C22semidirect
151. #19098662C22semidirect
153. #19098660C22semidirect
154. #19098660C22semidirect
159. #19098654C22semidirect
160. #19098654C22semidirect
161. #19098654C22semidirect
162. #19098654C22semidirect
163. #19098654C22semidirect
164. C4×#11929613C22semidirect
165. D8×Dic79C22semidirect
166. #19098645C22semidirect
168. #19098643C22semidirect
169. #19098643C22semidirect
170. #19098638C22semidirect
171. #19098635C22semidirect
172. #19098631C22semidirect
173. C8×C22⋊D79C22semidirect
174. C8×C22⋊D79C22semidirect
175. #19098623C22semidirect
176. #19098621C22semidirect
177. #19098617C22semidirect
178. #19098604C22semidirect
179. #19098603C22semidirect
180. C2×#14579092C22semidirect
181. #19098560C22semidirect
182. #19098556C22semidirect
183. C2×#14579086C22semidirect
185. #19098518C22semidirect
186. #19098517C22semidirect
187. C2×C8×Dic79C22semidirect
188. #547×C79C22semidirect
190. #486×C79C22semidirect
191. #480×C79C22semidirect
192. #480×C79C22semidirect
194. #466×C79C22semidirect
195. #466×C79C22semidirect
196. #459×C79C22semidirect
200. C8×D4×C79C22semidirect
550. #11929612#41semidirect
901. #3294D79semidirect
918. C79#61498semidirect
939. #547C2×D79semidirect
978. #486C2×D79semidirect
989. #480C2×D79semidirect
990. #480C2×D79semidirect
1011. #466C2×D79semidirect
1012. #466C2×D79semidirect
1026. #459C2×D79semidirect
1074. C8×D4C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774782
#237774192
#237764452
#237763052
#237760682
#237760612
#237760192
#237758742
#237758702
#237753452
#237753082
#237753042
#237752202
#237752092
#237750182
#237748992
#237748912
#237740902
#237740862
#237739742
#237736022
#237735962
#237735912
#237735772
#237735192
#237734862
#237723682
#237722262
#237722252
C2×#190986542
C79×#32942
#6149879