Finite Group Databasebeta

← #35173737

Subgroups — #35173737

Order 20224.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777241C211yesmaximal, characteristic, complemented
2#23776883C211yesmaximal, characteristic, complemented
3#23775663C211yesmaximal, characteristic, complemented
4#23775611C211yesmaximal, characteristic, complemented
5#23775569C211yesmaximal, characteristic, complemented
6#23775539C211yesmaximal, characteristic, complemented
7#23775521C211yesmaximal, characteristic, complemented
8#23775491C211yesmaximal, characteristic, complemented
9#23775300C211yesmaximal, characteristic, complemented
10#23775248C211yesmaximal, characteristic, complemented
11#23775134C211yesmaximal, characteristic, complemented
12#23775100C211yesmaximal, characteristic, complemented
13#23775028C211yesmaximal, characteristic, complemented
14#23775008C211yesmaximal, characteristic, complemented
15#23774974C211yesmaximal, characteristic, complemented
16#23774947C211yesmaximal, characteristic, complemented
17#23774932C211yesmaximal, characteristic, complemented
18#23774888C211yesmaximal, characteristic, complemented
19#23774441C211yesmaximal, characteristic, complemented
20#23774379C211yesmaximal, characteristic, complemented
21#23774244C211yesmaximal, characteristic, complemented
22#23774195C211yesmaximal, characteristic, complemented
23#23774161C211yesmaximal, characteristic, complemented
24#23773512C211yesmaximal, characteristic, complemented
25#23773421C211yesmaximal, characteristic, complemented
26#23772654C211yesmaximal, characteristic, complemented
27#23772643C211yesmaximal, characteristic, complemented
28#23772621C211yesmaximal, characteristic, complemented
29C2×#19098723C211yesmaximal, characteristic, complemented
30#23772436C211yesmaximal, characteristic, complemented
31C79×#3196C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C2×#41×D79C2211yescharacteristic, complemented
34C2×#14579193C2211yescharacteristic, complemented
35C2×#14579189C2211yescharacteristic, complemented
36C2×#14579189C2211yescharacteristic, complemented
37C2×#14579188C2211yescharacteristic, complemented
38C2×#14579184C2211yescharacteristic, complemented
39C2×#14579182C2211yescharacteristic, complemented
40C22×#11929614C2211yescharacteristic, complemented
41C22×#11929611C2211yescharacteristic, complemented
42#19099261—21no—
43#19099261—21no—
44#19099261C2211yescharacteristic
45#19099261C2211yescharacteristic, complemented
46#19099255C2211yescharacteristic, complemented
47#19099255C2211yescharacteristic, complemented
48#19099240—21no—
49#19099240—21no—
50#19099231C2211yescharacteristic
51#19099226C2211yescharacteristic, complemented
52#19099224C2211yescharacteristic
53#19099224C2211yescharacteristic, complemented
54#19099223C2211yescharacteristic
55#19099219C2211yescharacteristic, complemented
56#19099215C2211yescharacteristic
57#19099211—21no—
58#19099210C2211yescharacteristic
59#19099205—21no—
60#19099204C2211yescharacteristic, complemented
61#19099204C2211yescharacteristic, complemented
62#19099204C2211yescharacteristic, complemented
63#19099200—21no—
64#19099197C2211yescharacteristic, complemented
65#19099195—21no—
66#19099162—21no—
67#19099153—21no—
68#19099125—21no—
69#19099110—21no—
70#19099109C2211yescharacteristic, complemented
71#19099099C2211yescharacteristic, complemented
72#19099099C2211yescharacteristic, complemented
73#19099076C2211yescharacteristic, complemented
74#19099076C2211yescharacteristic, complemented
75#19099075C2211yescharacteristic, complemented
76#19099072—21no—
77#19099072—21no—
78C2×#14579135C2211yescharacteristic, complemented
79#19099036—21no—
80#19099031C2211yescharacteristic, complemented
81C2×C4×C22⋊D79C2211yescharacteristic
82C4×D4×D79—21no—
83#19098956C2211yescharacteristic, complemented
84#19098949C2211yescharacteristic, complemented
85#19098948C2211yescharacteristic, complemented
86#19098944C2211yescharacteristic, complemented
87#19098930C2211yescharacteristic, complemented
88#19098926C2211yescharacteristic, complemented
89#19098919C2211yescharacteristic, complemented
90#19098916C2211yescharacteristic, complemented
91#19098907C2211yescharacteristic, complemented
92#19098906C2211yescharacteristic, complemented
93#19098896C2211yescharacteristic, complemented
94#19098890C2211yescharacteristic, complemented
95#19098889C2211yescharacteristic, complemented
96#19098887C2211yescharacteristic, complemented
97#19098887C2211yescharacteristic, complemented
98#19098879C2211yescharacteristic, complemented
99#19098873C2211yescharacteristic, complemented
100#19098869C2211yescharacteristic, complemented
101#19098866C2211yescharacteristic, complemented
102#19098862C2211yescharacteristic, complemented
103#19098820C2211yescharacteristic, complemented
104#19098817C2211yescharacteristic, complemented
105#19098812C2211yescharacteristic, complemented
106#19098810C2211yescharacteristic, complemented
107#19098803C2211yescharacteristic, complemented
108#19098800C2211yescharacteristic, complemented
109#19098797C2211yescharacteristic, complemented
110#19098797C2211yescharacteristic, complemented
111#19098795C2211yescharacteristic, complemented
112#19098794C2211yescharacteristic, complemented
113#19098794C2211yescharacteristic, complemented
114#19098793C2211yescharacteristic, complemented
115#19098788C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098787C2211yescharacteristic, complemented
118#19098783C2211yescharacteristic, complemented
119#19098781C2211yescharacteristic, complemented
120#19098781C2211yescharacteristic, complemented
121#19098781C2211yescharacteristic, complemented
122#19098777C2211yescharacteristic, complemented
123#19098771C2211yescharacteristic, complemented
124#19098767C2211yescharacteristic, complemented
125#19098761C2211yescharacteristic, complemented
126#19098757C2211yescharacteristic, complemented
127#19098728C2211yescharacteristic, complemented
128#19098728C2211yescharacteristic, complemented
129#19098724C2211yescharacteristic, complemented
130#19098723C2211yescharacteristic, complemented
131#19098723C2211yescharacteristic, complemented
132#19098723C2211yescharacteristic, complemented
133#19098723C2211yescharacteristic, complemented
134#19098723C2211yescharacteristic, complemented
135#19098723C2211yescharacteristic, complemented
136#19098723C2211yescharacteristic, complemented
137#19098723C2211yescharacteristic, complemented
138#19098722C2211yescharacteristic, complemented
139#19098717C2211yescharacteristic, complemented
140#19098713C2211yescharacteristic, complemented
141#19098712C2211yescharacteristic, complemented
142#19098711C2211yescharacteristic, complemented
143#19098711C2211yescharacteristic, complemented
144#19098711C2211yescharacteristic, complemented
145#19098710C2211yescharacteristic
146#19098710C2211yescharacteristic
147#19098710C2211yescharacteristic, complemented
148#19098710C2211yescharacteristic, complemented
149#19098709C2211yescharacteristic, complemented
150#19098708C2211yescharacteristic, complemented
151#19098708C2211yescharacteristic, complemented
152#19098704C2211yescharacteristic, complemented
153#19098704C2211yescharacteristic, complemented
154#19098703C2211yescharacteristic, complemented
155#19098699C2211yescharacteristic, complemented
156#19098699C2211yescharacteristic, complemented
157#19098698C2211yescharacteristic, complemented
158#19098696C2211yescharacteristic, complemented
159#19098674C2211yescharacteristic, complemented
160#19098667C2211yescharacteristic, complemented
161#19098666C2211yescharacteristic, complemented
162#19098662C2211yescharacteristic, complemented
163#19098655C2211yescharacteristic, complemented
164#19098650C2211yescharacteristic, complemented
165#19098648C2211yescharacteristic, complemented
166#19098645C2211yescharacteristic, complemented
167#19098639C2211yescharacteristic, complemented
168#19098639C2211yescharacteristic, complemented
169#19098632C2211yescharacteristic, complemented
170#19098632C2211yescharacteristic, complemented
171#19098631C2211yescharacteristic, complemented
172#19098631C2211yescharacteristic, complemented
173(C22⋊D79)⋊C8C2211yescharacteristic, complemented
174(C22⋊D79)⋊C8C2211yescharacteristic, complemented
175#19098617C2211yescharacteristic, complemented
176#19098613C2211yescharacteristic, complemented
177#19098570C2211yescharacteristic, complemented
178#19098566C2211yescharacteristic, complemented
179#19098565C2211yescharacteristic, complemented
180#19098565C2211yescharacteristic, complemented
181#19098558C2211yescharacteristic, complemented
182#19098556C2211yescharacteristic, complemented
183C2×#14579084C2211yescharacteristic, complemented
184C2×#14579081C2211yescharacteristic, complemented
185#19098525C2211yescharacteristic, complemented
186C2×C22⋊(C79⋊C8)C2211yescharacteristic, complemented
187C22⋊C8×D79C2211yescharacteristic, complemented
188#525×C79C2211yescharacteristic
189C2×C22⋊Q8×C79C2211yescharacteristic, complemented
190#485×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#484×C79C2211yescharacteristic, complemented
193#481×C79C2211yescharacteristic, complemented
194#470×C79C2211yescharacteristic, complemented
195#470×C79C2211yescharacteristic, complemented
196#468×C79C2211yescharacteristic, complemented
197#468×C79C2211yescharacteristic, complemented
198#452×C79C2211yescharacteristic, complemented
199#452×C79C2211yescharacteristic, complemented
200#451×C79C2211yescharacteristic, complemented
201#448×C79C2211yescharacteristic, complemented
202#407×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929625C2311yescharacteristic
205C2×#11929625C2311yescharacteristic
206C2×#11929624—21no—
207C2×#11929624—21no—
208C2×#11929624—21no—
209C2×#11929624—42no—
210C2×#11929624—42no—
211C2×#11929624C2311yescharacteristic
212C2×#11929624C2311yescharacteristic
213C2×#11929624C2311yescharacteristic
214C2×#11929624C2311yescharacteristic
215C2×#11929623—21no—
216C2×#11929623C2311yescharacteristic
217#41×D79—42no—
218#41×D79—42no—
219C22×Dic158C2311yescharacteristic
220C2×Q8×D79C2311yescharacteristic
221C22×D316C2311yescharacteristic
222C22×D316C2311yescharacteristic
223C22×C22⋊D79—21no—
224C22×C22⋊D79—21no—
225C22×C22⋊D79D411yescharacteristic
226C2×D4×D79—21no—
227C2×D4×D79—21no—
228C2×D4×D79C2311yescharacteristic
229C22×C4×D79—21no—
230C22×C4×D79—21no—
231C22×C4×D79C2311yescharacteristic
232#14579193—42no—
233#14579189—42no—
234#14579189—42no—
235#14579188—42no—
236#14579184—42no—
237#14579182—42no—
238C2×#11929614—42no—
239C2×#11929614C2311yescharacteristic
240C2×#11929614C2311yescharacteristic
241C2×#11929614C2311yescharacteristic
242C2×#11929614C2311yescharacteristic
243C2×#11929613C2311yescharacteristic
244C2×#11929613C2311yescharacteristic
245C2×#11929613C2311yescharacteristic
246C2×#11929613C2311yescharacteristic
247C2×#11929611—42no—
248C2×#11929611C2311yescharacteristic
249C2×#11929611C2311yescharacteristic
250C2×#11929611C2311yescharacteristic
251C2×#11929611C2311yescharacteristic
252C2×#11929611C2311yescharacteristic
253C2×#11929611C2311yescharacteristic
254C2×D632C2311yescharacteristic
255C2×D632C2311yescharacteristic
256C2×D632C2311yescharacteristic
257C2×D632C2311yescharacteristic
258C2×#11929609C2311yescharacteristic
259C2×#11929609C2311yescharacteristic
260C2×#11929607C2311yescharacteristic
261C2×#11929607C2311yescharacteristic
262C22×C79⋊C8C2311yescharacteristic
263C22×C79⋊C8C2311yescharacteristic
264C2×C8×D79C2311yescharacteristic
265C2×C8×D79C2311yescharacteristic
266#14579160—21no—
267#14579159C2311yescharacteristic
268#14579157—21no—
269#14579157C2311yescharacteristic
270#14579156—21no—
271#14579156—21no—
272#14579156—21no—
273#14579156—21no—
274#14579156—21no—
275#14579156—21no—
276#14579152—21no—
277#14579152—21no—
278#14579152C2311yescharacteristic
279#14579152C2311yescharacteristic
280#14579150—21no—
281#14579150—21no—
282#14579150C2311yescharacteristic
283#14579150C2311yescharacteristic
284#14579150C2311yescharacteristic
285#14579148C2311yescharacteristic
286#14579147—21no—
287#14579147—21no—
288#14579146—21no—
289#14579146—21no—
290#14579146—21no—
291#14579146—21no—
292#14579146—21no—
293#14579146—21no—
294#14579146—21no—
295#14579146—21no—
296#14579145—21no—
297#14579145—21no—
298#14579145—21no—
299#14579145—21no—
300#14579145—21no—
301#14579143—21no—
302#14579143—21no—
303#14579141C2311yescharacteristic
304#14579141C2311yescharacteristic
305#14579139—21no—
306#14579139—21no—
307#14579138—21no—
308#14579138—21no—
309#14579137—21no—
310#14579137—21no—
311#14579137C2311yescharacteristic
312#14579137C2311yescharacteristic
313#14579136—21no—
314#14579136—21no—
315#14579136—21no—
316#14579136C2311yescharacteristic
317#14579136C2311yescharacteristic
318#14579136C2311yescharacteristic
319#14579136C2311yescharacteristic
320#14579135—21no—
321#14579135—21no—
322#14579135—21no—
323#14579135—21no—
324#14579135—21no—
325#14579135—21no—
326#14579135C2311yescharacteristic
327#14579135C2311yescharacteristic
328#14579135C2311yescharacteristic
329#14579135C2311yescharacteristic
330#14579134—21no—
331#14579134—21no—
332#14579134—21no—
333#14579134—21no—
334#14579133—21no—
335#14579133—21no—
336#14579133—21no—
337#14579133—21no—
338#14579132—21no—
339#14579131—21no—
340#14579131—21no—
341#14579131—21no—
342#14579131—21no—
343#14579131—21no—
344#14579131—21no—
345#14579131—21no—
346#14579129—21no—
347#14579129—21no—
348Q8×Dic79C2311yescharacteristic
349Q8×Dic79C2311yescharacteristic
350#14579126C2311yescharacteristic
351#14579126C2311yescharacteristic
352C4×D316—21no—
353C4×D316—21no—
354D4×Dic79—21no—
355#14579123—21no—
356#14579123—21no—
357#14579123—21no—
358#14579123C2311yescharacteristic
359#14579123C2311yescharacteristic
360#14579123C2311yescharacteristic
361#14579123C2311yescharacteristic
362C4×C22⋊D79—21no—
363C4×C22⋊D79—21no—
364C4×C22⋊D79—21no—
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79—21no—
368C4×C22⋊D79D411yescharacteristic
369C4×C22⋊D79D411yescharacteristic
370C4×C22⋊D79D411yescharacteristic
371C4×C22⋊D79D411yescharacteristic
372C4×C22⋊D79C2311yescharacteristic
373C4×C22⋊D79C2311yescharacteristic
374C4×C22⋊D79C2311yescharacteristic
375C4×C22⋊D79C2311yescharacteristic
376(C22⋊D79)⋊C4—21no—
377(C22⋊D79)⋊C4—21no—
378(C22⋊D79)⋊C4—21no—
379(C22⋊D79)⋊C4—21no—
380(C22⋊D79)⋊C4—21no—
381(C22⋊D79)⋊C4—21no—
382(C22⋊D79)⋊C4—21no—
383(C22⋊D79)⋊C4—21no—
384#14579119—21no—
385#14579119—21no—
386#14579119C2311yescharacteristic
387#14579119C2311yescharacteristic
388#14579118—21no—
389#14579117—21no—
390#14579117—21no—
391C2×C4⋊Dic79C2311yescharacteristic
392C2×Dic79⋊C4D411yescharacteristic
393C4⋊C4×D79—21no—
394C2×C22⋊Dic79D411yescharacteristic
395C2×(C2×D79)⋊C4—21no—
396C2×(C2×D79)⋊C4D411yescharacteristic
397C22⋊C4×D79—21no—
398C22⋊C4×D79—21no—
399C22⋊C4×D79—21no—
400C22⋊C4×D79—21no—
401C2×C4×Dic79C2311yescharacteristic
402C42×D79—21no—
403#14579094C2311yescharacteristic
404#14579094C2311yescharacteristic
405#14579092C2311yescharacteristic
406#14579092C2311yescharacteristic
407Dic79⋊C8C2311yescharacteristic
408Dic79⋊C8C2311yescharacteristic
409Dic79⋊C8C2311yescharacteristic
410Dic79⋊C8C2311yescharacteristic
411#14579086C2311yescharacteristic
412#14579086C2311yescharacteristic
413#14579086C2311yescharacteristic
414#14579086C2311yescharacteristic
415#14579085C2311yescharacteristic
416#14579085C2311yescharacteristic
417#14579084C2311yescharacteristic
418#14579084C2311yescharacteristic
419#14579084C2311yescharacteristic
420#14579084C2311yescharacteristic
421#14579083C2311yescharacteristic
422#14579083C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579083C2311yescharacteristic
425#14579082C2311yescharacteristic
426#14579082C2311yescharacteristic
427#14579081C2311yescharacteristic
428#14579081C2311yescharacteristic
429#14579081C2311yescharacteristic
430#14579081C2311yescharacteristic
431#14579081C2311yescharacteristic
432#14579081C2311yescharacteristic
433#14579081C2311yescharacteristic
434#14579081C2311yescharacteristic
435C22⋊(C79⋊C8)C2311yescharacteristic
436C22⋊(C79⋊C8)C2311yescharacteristic
437C22⋊(C79⋊C8)C2311yescharacteristic
438C22⋊(C79⋊C8)C2311yescharacteristic
439(C2×D79)⋊C8C2311yescharacteristic
440(C2×D79)⋊C8C2311yescharacteristic
441(C2×D79)⋊C8C2311yescharacteristic
442(C2×D79)⋊C8C2311yescharacteristic
443#14579071C2311yescharacteristic
444#14579071C2311yescharacteristic
445C8×Dic79C2311yescharacteristic
446C8×Dic79C2311yescharacteristic
447C2×#41×C79C2311yescharacteristic
448C22×Q8×C79C2311yescharacteristic
449C23×C4×C79C2311yescharacteristic
450C2×Q16×C79C2311yescharacteristic
451C2×Q16×C79C2311yescharacteristic
452C2×SD16×C79C2311yescharacteristic
453C2×SD16×C79C2311yescharacteristic
454C2×M16×C79C2311yescharacteristic
455C2×M16×C79C2311yescharacteristic
456#123×C79—21no—
457C22⋊Q8×C79—21no—
458C22⋊Q8×C79—21no—
459C22⋊Q8×C79C2311yescharacteristic
460C22⋊Q8×C79C2311yescharacteristic
461C22⋊Q8×C79C2311yescharacteristic
462C22⋊Q8×C79C2311yescharacteristic
463C22⋊Q8×C79C2311yescharacteristic
464C22⋊Q8×C79C2311yescharacteristic
465#121×C79C2311yescharacteristic
466#121×C79C2311yescharacteristic
467#120×C79—21no—
468C4×D4×C79—21no—
469C4×D4×C79—21no—
470#117×C79C2311yescharacteristic
471C2×C4⋊C4×C79—21no—
472C2×C4⋊C4×C79C2311yescharacteristic
473C2×C22⋊C4×C79—21no—
474#107×C79C2311yescharacteristic
475#107×C79C2311yescharacteristic
476#106×C79C2311yescharacteristic
477#106×C79C2311yescharacteristic
478#103×C79C2311yescharacteristic
479#103×C79C2311yescharacteristic
480#103×C79C2311yescharacteristic
481#103×C79C2311yescharacteristic
482#103×C79C2311yescharacteristic
483#103×C79C2311yescharacteristic
484#102×C79C2311yescharacteristic
485#102×C79C2311yescharacteristic
486C22⋊C8×C79C2311yescharacteristic
487C22⋊C8×C79C2311yescharacteristic
488C22⋊C8×C79C2311yescharacteristic
489C22⋊C8×C79C2311yescharacteristic
490C23×D79—21no—
491C23×D79—21no—
492C23×D79—21no—
493C23×D79C2×D411yescharacteristic
494#11929625—22no—
495#11929625—41no—
496#11929625—41no—
497#11929625—41no—
498#11929625—41no—
499#11929625—41no—
500#11929624—22no—
501#11929624—22no—
502#11929624—22no—
503#11929624—22no—
504#11929624—44no—
505#11929624—41no—
506#11929624—41no—
507#11929624—41no—
508#11929624—41no—
509#11929624—44no—
510#11929624—44no—
511#11929623—22no—
512#11929623—44no—
513#11929623—41no—
514C2×Dic158—22no—
515C2×Dic158—21no—
516C2×Dic158—21no—
517C2×Dic158—41no—
518C2×Dic158C2411yescharacteristic
519C2×Dic158C2411yescharacteristic
520Q8×D79—22no—
521Q8×D79—41no—
522C2×D316—21no—
523C2×D316—21no—
524C2×D316—21no—
525C2×D316—21no—
526C2×D316—21no—
527C2×D316—21no—
528C2×D316—21no—
529C2×D316—22no—
530C2×D316—21no—
531C2×D316—21no—
532C2×D316—41no—
533C2×D316—41no—
534C2×D316—41no—
535C2×D316C2411yescharacteristic
536C2×D316C2411yescharacteristic
537C2×D316C2411yescharacteristic
538C2×D316C2411yescharacteristic
539C2×C22⋊D79—21no—
540C2×C22⋊D79—21no—
541C2×C22⋊D79—21no—
542C2×C22⋊D79—21no—
543C2×C22⋊D79—21no—
544C2×C22⋊D79—21no—
545C2×C22⋊D79—21no—
546C2×C22⋊D79—21no—
547C2×C22⋊D79—21no—
548C2×C22⋊D79—21no—
549C2×C22⋊D79—21no—
550C2×C22⋊D79—21no—
551C2×C22⋊D79—42no—
552C2×C22⋊D79—44no—
553C2×C22⋊D79—44no—
554C2×C22⋊D79C2×D411yescharacteristic
555C2×C22⋊D79C2×D411yescharacteristic
556C2×C22⋊D79C2×D411yescharacteristic
557C2×C22⋊D79C2×D411yescharacteristic
558D4×D79—22no—
559D4×D79—44no—
560D4×D79—44no—
561D4×D79—41no—
562C22×Dic79—21no—
563C22×Dic79—21no—
564C22×Dic79—21no—
565C22×Dic79C2×D411yescharacteristic
566C22×Dic79C2×D411yescharacteristic
567C22×Dic79C2×D411yescharacteristic
568C2×C4×D79—21no—
569C2×C4×D79—21no—
570C2×C4×D79—21no—
571C2×C4×D79—21no—
572C2×C4×D79—21no—
573C2×C4×D79—21no—
574C2×C4×D79—21no—
575C2×C4×D79—21no—
576C2×C4×D79—21no—
577C2×C4×D79—21no—
578C2×C4×D79—21no—
579C2×C4×D79—21no—
580C2×C4×D79—41no—
581C2×C4×D79—41no—
582C2×C4×D79—44no—
583C2×C4×D79—44no—
584C2×C4×D79C2×D411yescharacteristic
585C2×C4×D79C2×D411yescharacteristic
586C2×C4×D79C2411yescharacteristic
587C2×C4×D79C2411yescharacteristic
588#11929614—22no—
589#11929614—22no—
590#11929614—41no—
591#11929614—41no—
592#11929613—22no—
593#11929613—22no—
594#11929613—41no—
595#11929613—41no—
596#11929611—22no—
597#11929611—22no—
598#11929611—41no—
599#11929611—41no—
600#11929611—41no—
601#11929611—41no—
602D632—22no—
603D632—22no—
604D632—41no—
605D632—41no—
606#11929609—41no—
607#11929609—41no—
608#11929607—41no—
609#11929607—41no—
610C2×C79⋊C8—41no—
611C2×C79⋊C8—41no—
612C2×C79⋊C8C2411yescharacteristic
613C2×C79⋊C8C2411yescharacteristic
614C2×C79⋊C8C2411yescharacteristic
615C2×C79⋊C8C2411yescharacteristic
616C8×D79—41no—
617C8×D79—41no—
618C4⋊Dic79—21no—
619C4⋊Dic79—21no—
620C4⋊Dic79—21no—
621C4⋊Dic79—21no—
622C4⋊Dic79—21no—
623C4⋊Dic79—21no—
624C4⋊Dic79—21no—
625C4⋊Dic79C2411yescharacteristic
626C4⋊Dic79C2411yescharacteristic
627Dic79⋊C4—21no—
628Dic79⋊C4—21no—
629Dic79⋊C4—21no—
630Dic79⋊C4—21no—
631Dic79⋊C4—21no—
632Dic79⋊C4—21no—
633Dic79⋊C4—21no—
634Dic79⋊C4—21no—
635Dic79⋊C4C2×D411yescharacteristic
636Dic79⋊C4C2×D411yescharacteristic
637Dic79⋊C4C2×D411yescharacteristic
638Dic79⋊C4C2×D411yescharacteristic
639C22⋊Dic79—21no—
640C22⋊Dic79—21no—
641C22⋊Dic79C2×D411yescharacteristic
642C22⋊Dic79C2×D411yescharacteristic
643C22⋊Dic79C2×D411yescharacteristic
644C22⋊Dic79C2×D411yescharacteristic
645(C2×D79)⋊C4—21no—
646(C2×D79)⋊C4—21no—
647(C2×D79)⋊C4—21no—
648(C2×D79)⋊C4—21no—
649(C2×D79)⋊C4—21no—
650(C2×D79)⋊C4—21no—
651(C2×D79)⋊C4—21no—
652(C2×D79)⋊C4—21no—
653(C2×D79)⋊C4—21no—
654(C2×D79)⋊C4—21no—
655(C2×D79)⋊C4—21no—
656(C2×D79)⋊C4—21no—
657(C2×D79)⋊C4—21no—
658(C2×D79)⋊C4—21no—
659(C2×D79)⋊C4—21no—
660(C2×D79)⋊C4—21no—
661(C2×D79)⋊C4—21no—
662(C2×D79)⋊C4—21no—
663(C2×D79)⋊C4—21no—
664(C2×D79)⋊C4—21no—
665(C2×D79)⋊C4—21no—
666(C2×D79)⋊C4—21no—
667(C2×D79)⋊C4—21no—
668(C2×D79)⋊C4—21no—
669(C2×D79)⋊C4C2×D411yescharacteristic
670(C2×D79)⋊C4C2×D411yescharacteristic
671(C2×D79)⋊C4C2×D411yescharacteristic
672(C2×D79)⋊C4C2×D411yescharacteristic
673C4×Dic79—21no—
674C4×Dic79—21no—
675C4×Dic79—21no—
676C4×Dic79—21no—
677C4×Dic79—21no—
678C4×Dic79—21no—
679C4×Dic79C2×D411yescharacteristic
680C4×Dic79C2×D411yescharacteristic
681C4×Dic79C2411yescharacteristic
682C4×Dic79C2411yescharacteristic
683C24×C79C2×D411yescharacteristic
684#41×C79—41no—
685#41×C79—41no—
686C2×Q8×C79—21no—
687C2×Q8×C79—41no—
688C2×Q8×C79—41no—
689C2×Q8×C79C2411yescharacteristic
690C2×Q8×C79C2411yescharacteristic
691C2×Q8×C79C2411yescharacteristic
692C2×D4×C79—21no—
693C2×D4×C79—21no—
694C2×D4×C79—21no—
695C2×D4×C79C2411yescharacteristic
696C22×C4×C79—21no—
697C22×C4×C79—21no—
698C22×C4×C79—21no—
699C22×C4×C79—41no—
700C22×C4×C79—41no—
701C22×C4×C79C2×D411yescharacteristic
702C22×C4×C79C2×D411yescharacteristic
703C22×C4×C79C2×D411yescharacteristic
704C22×C4×C79C2411yescharacteristic
705C22×C4×C79C2411yescharacteristic
706C22×C4×C79C2411yescharacteristic
707Q16×C79—41no—
708Q16×C79—41no—
709SD16×C79—41no—
710SD16×C79—41no—
711M16×C79—41no—
712M16×C79—41no—
713C2×C8×C79C2411yescharacteristic
714C2×C8×C79C2411yescharacteristic
715C2×C8×C79C2411yescharacteristic
716C2×C8×C79C2411yescharacteristic
717C4⋊C4×C79—21no—
718C4⋊C4×C79—21no—
719C4⋊C4×C79—21no—
720C4⋊C4×C79—21no—
721C4⋊C4×C79—21no—
722C4⋊C4×C79—21no—
723C4⋊C4×C79—21no—
724C4⋊C4×C79C2411yescharacteristic
725C4⋊C4×C79C2411yescharacteristic
726C4⋊C4×C79C2411yescharacteristic
727C4⋊C4×C79C2411yescharacteristic
728C22⋊C4×C79—21no—
729C22⋊C4×C79—21no—
730C22⋊C4×C79—21no—
731C22⋊C4×C79—21no—
732C22⋊C4×C79—21no—
733C22⋊C4×C79—21no—
734C22⋊C4×C79—21no—
735C22⋊C4×C79—21no—
736C22⋊C4×C79—21no—
737C42×C79—21no—
738C23×C79—22no—
739C23×C79—21no—
740C23×C79—41no—
741C23×C79—41no—
742C23×C79C22×D411yescharacteristic
743C23×C79C22×D411yescharacteristic
744C23×C79C22×D411yescharacteristic
745C22×D79—21no—
746C22×D79—21no—
747C22×D79—21no—
748C22×D79—21no—
749C22×D79—41no—
750C22×D79—41no—
751C22×D79—41no—
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×D79C22×D411yescharacteristic
762C22×D79C22×D411yescharacteristic
763Q8×C79—21no—
764Q8×C79—21no—
765Q8×C79—21no—
766Q8×C79—21no—
767Q8×C79—21no—
768Q8×C79—21no—
769Q8×C79—81no—
770D4×C79—21no—
771D4×C79—21no—
772D4×C79—42no—
773D4×C79—42no—
774D4×C79—81no—
775C2×C4×C79—21no—
776C2×C4×C79—21no—
777C2×C4×C79—21no—
778C2×C4×C79—21no—
779C2×C4×C79—21no—
780C2×C4×C79—21no—
781C2×C4×C79—21no—
782C2×C4×C79—21no—
783C2×C4×C79—21no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—41no—
789C2×C4×C79—41no—
790C2×C4×C79—41no—
791C2×C4×C79—42no—
792C2×C4×C79—81no—
793C2×C4×C79—81no—
794C2×C4×C79C22×D411yescharacteristic
795C2×C4×C79C22×D411yescharacteristic
796C2×C4×C79C22×D411yescharacteristic
797C2×C4×C79C2511yescharacteristic
798C22⋊D79—24no—
799C22⋊D79—22no—
800C22⋊D79—22no—
801C22⋊D79—41no—
802C22⋊D79—41no—
803C22⋊D79—42no—
804C22⋊D79—42no—
805C22⋊D79—42no—
806C22⋊D79—42no—
807C22⋊D79—42no—
808C22⋊D79—42no—
809C22⋊D79—42no—
810C22⋊D79—42no—
811C22⋊D79—42no—
812C22⋊D79—42no—
813C22⋊D79—81no—
814C2×Dic79—21no—
815C2×Dic79—21no—
816C2×Dic79—21no—
817C2×Dic79—21no—
818C2×Dic79—41no—
819C2×Dic79—41no—
820C2×Dic79—41no—
821C2×Dic79—42no—
822C2×Dic79—42no—
823C2×Dic79—42no—
824C2×Dic79C22×D411yescharacteristic
825C2×Dic79C22×D411yescharacteristic
826C2×Dic79C22×D411yescharacteristic
827C2×Dic79C22×D411yescharacteristic
828C2×Dic79C22×D411yescharacteristic
829C2×Dic79C22×D411yescharacteristic
830D316—21no—
831D316—21no—
832D316—21no—
833D316—21no—
834D316—21no—
835D316—21no—
836D316—21no—
837D316—42no—
838D316—42no—
839D316—42no—
840D316—81no—
841D316—81no—
842D316—81no—
843D316—81no—
844D316—81no—
845D316—81no—
846D316H(5,𝔽2)12yes—
847C4×D79—24no—
848C4×D79—21no—
849C4×D79—21no—
850C4×D79—21no—
851C4×D79—21no—
852C4×D79—41no—
853C4×D79—41no—
854C4×D79—42no—
855C4×D79—42no—
856C4×D79—42no—
857C4×D79—42no—
858C4×D79—42no—
859C4×D79—42no—
860C4×D79—81no—
861C4×D79—81no—
862C4×D79—81no—
863C4×D79—81no—
864C4×D79—81no—
865Dic158—21no—
866Dic158—21no—
867Dic158—21no—
868Dic158—42no—
869Dic158—42no—
870Dic158H(5,𝔽2)12yes—
871C8×C79—21no—
872C8×C79—21no—
873C8×C79—21no—
874C8×C79—21no—
875C79⋊C8—21no—
876C79⋊C8—21no—
877C79⋊C8—21no—
878C79⋊C8—21no—
879C22×C79—21no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—21no—
883C22×C79—21no—
884C22×C79—21no—
885C22×C79—21no—
886C22×C79—21no—
887C22×C79—41no—
888C22×C79—41no—
889C22×C79—41no—
890C22×C79—82no—
891C22×C79#57512yes—
892C22×C79C23×D411yescharacteristic
893C2×D79—21no—
894C2×D79—21no—
895C2×D79—22no—
896C2×D79—21no—
897C2×D79—21no—
898C2×D79—21no—
899C2×D79—21no—
900C2×D79—41no—
901C2×D79—41no—
902C2×D79—41no—
903C2×D79—41no—
904C2×D79—41no—
905C2×D79—41no—
906C2×D79—41no—
907C2×D79—41no—
908C2×D79—41no—
909C2×D79—41no—
910C2×D79—41no—
911C2×D79—82no—
912C2×D79—84no—
913C2×D79—84no—
914C2×D79—162no—
915C4×C79—21no—
916C4×C79—21no—
917C4×C79—21no—
918C4×C79—41no—
919C4×C79—41no—
920C4×C79—41no—
921C4×C79—41no—
922C4×C79—41no—
923C4×C79—41no—
924C4×C79—41no—
925C4×C79C2×H(5,𝔽2)11yescharacteristic
926C4×C79C2×H(5,𝔽2)11yescharacteristic
927Dic79—21no—
928Dic79—21no—
929Dic79—22no—
930Dic79—21no—
931Dic79—21no—
932Dic79—21no—
933Dic79—21no—
934Dic79—41no—
935Dic79—41no—
936Dic79—41no—
937#61606—791nomaximal, Sylow
938C2×C79—22no—
939C2×C79—41no—
940C2×C79—41no—
941C2×C79—81no—
942C2×C79#348411yescharacteristic
943C2×C79C2×#57511yescharacteristic
944C2×C79#358411yescharacteristic
945D79—41no—
946D79—41no—
947D79—42no—
948D79—81no—
949D79—81no—
950D79—81no—
951#3505—791no—
952D4×#41—791no—
953#3327—791no—
954#3323—791no—
955#3320—791no—
956#3318—791no—
957#3317—791no—
958#3315—791no—
959#3301—791no—
960#3297—791no—
961#3285—791no—
962#3282—791no—
963#3275—791no—
964#3273—791no—
965#3270—791no—
966#3268—791no—
967#3267—791no—
968#3265—791no—
969#3219—791no—
970#3212—791no—
971#3197—791no—
972#3196D7911yescharacteristic, complemented
973#3191—791no—
974#3188—791no—
975#3111—791no—
976#3102—791no—
977#3006—791no—
978#3005—791no—
979#3002—791no—
980C2×#452—791no—
981#2974—791no—
982C79#6160611yescharacteristic, complemented, Sylow
983C22×#41—791no—
984C22×#41—791no—
985C2×#137—791no—
986C2×AGL(1,ℤ/8)—791no—
987C2×AGL(1,ℤ/8)—791no—
988C2×AGL(1,ℤ/8)—791no—
989C2×#135—791no—
990C2×#135—791no—
991C22×Q16—791no—
992C22×SD16—791no—
993#553—791no—
994#553—791no—
995#553—1581no—
996#553—1581no—
997#552—791no—
998#552—791no—
999#551—1581no—
1000#551—1581no—
1001#550—791no—
1002D4×Q8—791no—
1003#548—791no—
1004#548—791no—
1005#548—791no—
1006#548—791no—
1007#547—791no—
1008#547—1581no—
1009#546—791no—
1010#546—791no—
1011#546—791no—
1012#546—791no—
1013#546—1581no—
1014#546—1581no—
1015D42—791no—
1016D42—1581no—
1017#539—1581no—
1018#538—1581no—
1019#534—1581no—
1020#532—791no—
1021#532—1581no—
1022#529—791no—
1023#529—791no—
1024#525—791no—
1025#525—791no—
1026#525—791no—
1027#525—1581no—
1028#525—1581no—
1029#525C2×D7911yescharacteristic
1030C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1031C2×#121—791no—
1032#518—1581no—
1033C4×#41—791no—
1034C2×C4×D4—791no—
1035C2×C4×D4—1581no—
1036#497—791no—
1037#496—791no—
1038#495—791no—
1039#495—791no—
1040#491—791no—
1041#490—791no—
1042#488—791no—
1043#488—791no—
1044#485—791no—
1045#485—791no—
1046#485C2×D7911yescharacteristic, complemented
1047#485C2×D7911yescharacteristic, complemented
1048#484—791no—
1049#484C2×D7911yescharacteristic, complemented
1050#482—791no—
1051#482—791no—
1052#482—791no—
1053#482—791no—
1054#481—791no—
1055#481C2×D7911yescharacteristic, complemented
1056#479—791no—
1057#479—791no—
1058#478—791no—
1059#478—791no—
1060#470—791no—
1061#470C2×D7911yescharacteristic, complemented
1062#470C2×D7911yescharacteristic, complemented
1063#469—791no—
1064#468—791no—
1065#468—791no—
1066#468C2×D7911yescharacteristic, complemented
1067#468C2×D7911yescharacteristic, complemented
1068#467—791no—
1069#466—791no—
1070#466—791no—
1071#466—791no—
1072#465—791no—
1073#465—791no—
1074#465—791no—
1075#465—791no—
1076#464—791no—
1077#464—791no—
1078#464—791no—
1079#464—791no—
1080#463—791no—
1081#463—791no—
1082#463—791no—
1083#463—791no—
1084#462—791no—
1085#461—791no—
1086#460—791no—
1087#459—791no—
1088#452—791no—
1089#452—791no—
1090#452—791no—
1091#452—791no—
1092#452—791no—
1093#452—791no—
1094#452—791no—
1095#452—791no—
1096#452—791no—
1097#452—791no—
1098#452—791no—
1099#452—791no—
1100#452C2×D7911yescharacteristic, complemented
1101#452C2×D7911yescharacteristic, complemented
1102#451—791no—
1103#451C2×D7911yescharacteristic, complemented
1104#450—791no—
1105#450—791no—
1106#449—791no—
1107#449—791no—
1108#449—791no—
1109#449—791no—
1110#449—791no—
1111#449—791no—
1112#449—791no—
1113#449—791no—
1114#449—791no—
1115#449—791no—
1116#448—791no—
1117#448—791no—
1118#448—791no—
1119#448C2×D7911yescharacteristic, complemented
1120#447—791no—
1121#447—791no—
1122#447—791no—
1123#447—791no—
1124#442—791no—
1125#441—791no—
1126#440—791no—
1127#440—791no—
1128C4×Q16—791no—
1129C4×SD16—791no—
1130C4×SD16—791no—
1131C4×D8—791no—
1132#436—791no—
1133#436—791no—
1134#435—791no—
1135#435—791no—
1136#435—791no—
1137#435—791no—
1138C8×D4—791no—
1139C8×D4—791no—
1140#432—791no—
1141#431—791no—
1142#419—791no—
1143#418—791no—
1144#417—791no—
1145#417—791no—
1146#416—791no—
1147#416—791no—
1148C2×#103—791no—
1149C2×#102—791no—
1150#407—791no—
1151#407C2×D7911yescharacteristic, complemented
1152C2×C22⋊C8—791no—
1153C2×C22⋊C8—791no—
1154C2×#41—3162no—
1155C2×#41—3162no—
1156C2×#41—3162no—
1157C2×#41—3162no—
1158C2×#41—791no—
1159C2×#41—791no—
1160C2×#41—791no—
1161C2×#41—791no—
1162C2×#41—791no—
1163C2×#41—791no—
1164C2×#41—791no—
1165C2×#41—791no—
1166C2×#41—1581no—
1167C2×#41—1581no—
1168C2×#41—1581no—
1169C2×#41—1581no—
1170C2×#41C22×D7911yescharacteristic
1171C22×Q8—791no—
1172C22×Q8—791no—
1173C22×Q8C22×D7911yescharacteristic
1174C22×D4—791no—
1175C22×D4—791no—
1176C22×D4—791no—
1177C22×D4—791no—
1178C22×D4—1581no—
1179C22×D4—1581no—
1180C22×D4—1581no—
1181C22×D4—1581no—
1182C23×C4—791no—
1183C23×C4—1581no—
1184C23×C4—1581no—
1185C23×C4C22×D7911yescharacteristic
1186#137—3162no—
1187AGL(1,ℤ/8)—3162no—
1188AGL(1,ℤ/8)—3162no—
1189AGL(1,ℤ/8)—3162no—
1190#135—3162no—
1191#135—3162no—
1192C2×Q16—3162no—
1193C2×Q16—791no—
1194C2×Q16—791no—
1195C2×Q16—791no—
1196C2×Q16—791no—
1197C2×Q16C22×D7911yescharacteristic
1198C2×Q16C22×D7911yescharacteristic
1199C2×SD16—3162no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16—791no—
1203C2×SD16—791no—
1204C2×SD16—791no—
1205C2×SD16—791no—
1206C2×SD16—791no—
1207C2×SD16—791no—
1208C2×SD16—791no—
1209C2×SD16—791no—
1210C2×SD16C22×D7911yescharacteristic
1211C2×SD16C22×D7911yescharacteristic
1212C2×D8—791no—
1213C2×D8—791no—
1214C2×D8—791no—
1215C2×D8—791no—
1216C2×D8—791no—
1217C2×D8—791no—
1218C2×M16—791no—
1219C2×M16—791no—
1220C2×M16C22×D7911yescharacteristic
1221C2×M16C22×D7911yescharacteristic
1222C22×C8—791no—
1223C22×C8—791no—
1224C22×C8—791no—
1225C22×C8—791no—
1226C4⋊Q8—791no—
1227C4⋊Q8—1581no—
1228#127—791no—
1229#127—1581no—
1230#126—1581no—
1231#126—1581no—
1232#126—1581no—
1233#126—1581no—
1234#126—1581no—
1235#126—1581no—
1236#125—791no—
1237#125—791no—
1238#125—1581no—
1239#125—1581no—
1240#124—791no—
1241#124—791no—
1242#124—791no—
1243#124—791no—
1244#124—1581no—
1245#124—1581no—
1246#124—1581no—
1247#124—1581no—
1248#123—21no—
1249#123—1581no—
1250#123—1581no—
1251#123—1581no—
1252#123—1581no—
1253#123—1581no—
1254#123—1581no—
1255#123—1581no—
1256#123—1581no—
1257#123—1581no—
1258#123—1581no—
1259#123—1581no—
1260#123—1581no—
1261#123—1581no—
1262#123—1581no—
1263#123—1581no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—791no—
1267C22⋊Q8—791no—
1268C22⋊Q8—791no—
1269C22⋊Q8—791no—
1270C22⋊Q8—1581no—
1271C22⋊Q8—1581no—
1272C22⋊Q8—1581no—
1273C22⋊Q8—1581no—
1274C22⋊Q8—1581no—
1275C22⋊Q8—1581no—
1276C22⋊Q8C22×D7911yescharacteristic
1277C22⋊Q8C22×D7911yescharacteristic
1278C22⋊Q8C22×D7911yescharacteristic
1279C22⋊Q8C22×D7911yescharacteristic
1280C22⋊Q8C22×D7911yescharacteristic
1281C22⋊Q8C22×D7911yescharacteristic
1282#121—791no—
1283#121—791no—
1284#121—791no—
1285#121—791no—
1286#121—791no—
1287#121—791no—
1288#121—791no—
1289#121—791no—
1290#121—1581no—
1291#121—1581no—
1292#121—1581no—
1293#121—1581no—
1294#121—1581no—
1295#121—1581no—
1296#121—1581no—
1297#121—1581no—
1298#121—1581no—
1299#121—1581no—
1300#121—1581no—
1301#121—1581no—
1302#121—1581no—
1303#121—1581no—
1304#121—1581no—
1305#121—1581no—
1306#121—1581no—
1307#121—1581no—
1308#121C22×D7911yescharacteristic
1309#121C22×D7911yescharacteristic
1310#120—21no—
1311#120—1581no—
1312#120—1581no—
1313#120—1581no—
1314#120—1581no—
1315#120—1581no—
1316#120—1581no—
1317#120—1581no—
1318#120—1581no—
1319#120—1581no—
1320C4×Q8—791no—
1321C4×Q8—791no—
1322C4×Q8—791no—
1323C4×Q8—791no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—791no—
1327C4×D4—791no—
1328C4×D4—791no—
1329C4×D4—791no—
1330C4×D4—791no—
1331C4×D4—791no—
1332C4×D4—791no—
1333C4×D4—791no—
1334C4×D4—791no—
1335C4×D4—791no—
1336C4×D4—791no—
1337C4×D4—791no—
1338C4×D4—1581no—
1339C4×D4—1581no—
1340C4×D4—1581no—
1341C4×D4—1581no—
1342C4×D4—1581no—
1343C4×D4—1581no—
1344C4×D4—1581no—
1345C4×D4—1581no—
1346C4×D4—1581no—
1347C4×D4—1581no—
1348C4×D4—1581no—
1349C4×D4—1581no—
1350C4×D4—1581no—
1351C4×D4—1581no—
1352C4×D4—1581no—
1353C4×D4—1581no—
1354C4×D4—1581no—
1355C4×D4—1581no—
1356C4×D4—1581no—
1357C4×D4—1581no—
1358#117—791no—
1359#117—791no—
1360#117—1581no—
1361#117—1581no—
1362#117—1581no—
1363#117—1581no—
1364#117—1581no—
1365#117C22×D7911yescharacteristic
1366C2×C4⋊C4—21no—
1367C2×C4⋊C4—791no—
1368C2×C4⋊C4—791no—
1369C2×C4⋊C4—1581no—
1370C2×C4⋊C4C22×D7911yescharacteristic
1371C2×C22⋊C4—21no—
1372C2×C22⋊C4—791no—
1373C2×C22⋊C4—791no—
1374C2×C22⋊C4—1581no—
1375C2×C22⋊C4—1581no—
1376C2×C22⋊C4—1581no—
1377C2×C22⋊C4—1581no—
1378C2×C22⋊C4—1581no—
1379C2×C42—791no—
1380C2×C42—1581no—
1381#107—791no—
1382#107—791no—
1383#107C22×D7911yescharacteristic
1384#107C22×D7911yescharacteristic
1385#106—791no—
1386#106—791no—
1387#106C22×D7911yescharacteristic
1388#106C22×D7911yescharacteristic
1389C4⋊C8—791no—
1390C4⋊C8—791no—
1391C4⋊C8—791no—
1392C4⋊C8—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103—791no—
1397#103—791no—
1398#103—791no—
1399#103—791no—
1400#103—791no—
1401#103—791no—
1402#103—791no—
1403#103C22×D7911yescharacteristic
1404#103C22×D7911yescharacteristic
1405#103C22×D7911yescharacteristic
1406#103C22×D7911yescharacteristic
1407#103C22×D7911yescharacteristic
1408#103C22×D7911yescharacteristic
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102—791no—
1413#102—791no—
1414#102—791no—
1415#102—791no—
1416#102—791no—
1417#102—791no—
1418#102—791no—
1419#102—791no—
1420#102—791no—
1421#102—791no—
1422#102—791no—
1423#102C22×D7911yescharacteristic
1424#102C22×D7911yescharacteristic
1425C22⋊C8—791no—
1426C22⋊C8—791no—
1427C22⋊C8—791no—
1428C22⋊C8—791no—
1429C22⋊C8—791no—
1430C22⋊C8—791no—
1431C22⋊C8—791no—
1432C22⋊C8—791no—
1433C22⋊C8C22×D7911yescharacteristic
1434C22⋊C8C22×D7911yescharacteristic
1435C22⋊C8C22×D7911yescharacteristic
1436C22⋊C8C22×D7911yescharacteristic
1437#97—791no—
1438#97—791no—
1439C4×C8—791no—
1440C4×C8—791no—
1441C24—791no—
1442C24—1581no—
1443C24—1581no—
1444C24—1581no—
1445C24D4×D7911yescharacteristic
1446#41—41no—
1447#41—41no—
1448#41—3161no—
1449#41—3161no—
1450#41—3161no—
1451#41—3161no—
1452#41—3164no—
1453#41—3164no—
1454#41—3164no—
1455#41—3164no—
1456#41—3161no—
1457#41—3161no—
1458#41—3161no—
1459#41—3161no—
1460#41—3161no—
1461#41—3161no—
1462#41—1582no—
1463#41—1582no—
1464#41—1582no—
1465#41—1582no—
1466#41—1582no—
1467#41—1582no—
1468C2×Q8—21no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—3161no—
1472C2×Q8—3161no—
1473C2×Q8—791no—
1474C2×Q8—791no—
1475C2×Q8—1582no—
1476C2×Q8—1581no—
1477C2×Q8—1582no—
1478C2×Q8—1581no—
1479C2×Q8C23×D7911yescharacteristic
1480C2×Q8C23×D7911yescharacteristic
1481C2×Q8C23×D7911yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—3161no—
1486C2×D4—3161no—
1487C2×D4—3161no—
1488C2×D4—3164no—
1489C2×D4—3164no—
1490C2×D4—3164no—
1491C2×D4—3164no—
1492C2×D4—3162no—
1493C2×D4—3161no—
1494C2×D4—791no—
1495C2×D4—791no—
1496C2×D4—791no—
1497C2×D4—791no—
1498C2×D4—791no—
1499C2×D4—791no—
1500C2×D4—791no—
1501C2×D4—791no—
1502C2×D4—1581no—
1503C2×D4—1581no—
1504C2×D4—1582no—
1505C2×D4—1581no—
1506C2×D4—1581no—
1507C2×D4—1581no—
1508C2×D4—1581no—
1509C2×D4—1581no—
1510C2×D4—1581no—
1511C2×D4—1581no—
1512C2×D4—1581no—
1513C2×D4—1582no—
1514C2×D4—1581no—
1515C2×D4—1581no—
1516C2×D4—1581no—
1517C2×D4—1581no—
1518C2×D4—1581no—
1519C2×D4—1581no—
1520C2×D4—1581no—
1521C2×D4—1581no—
1522C2×D4—1581no—
1523C2×D4—1581no—
1524C2×D4—1581no—
1525C2×D4C23×D7911yescharacteristic
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—41no—
1530C22×C4—41no—
1531C22×C4—3161no—
1532C22×C4—3161no—
1533C22×C4—3164no—
1534C22×C4—3164no—
1535C22×C4—791no—
1536C22×C4—791no—
1537C22×C4—791no—
1538C22×C4—791no—
1539C22×C4—791no—
1540C22×C4—791no—
1541C22×C4—791no—
1542C22×C4—1581no—
1543C22×C4—1581no—
1544C22×C4—1581no—
1545C22×C4—1581no—
1546C22×C4—1581no—
1547C22×C4—1581no—
1548C22×C4—1581no—
1549C22×C4—1581no—
1550C22×C4—1581no—
1551C22×C4—1581no—
1552C22×C4—1581no—
1553C22×C4—1581no—
1554C22×C4—1581no—
1555C22×C4—1581no—
1556C22×C4—1581no—
1557C22×C4D4×D7911yescharacteristic
1558C22×C4D4×D7911yescharacteristic
1559C22×C4D4×D7911yescharacteristic
1560C22×C4C23×D7911yescharacteristic
1561C22×C4C23×D7911yescharacteristic
1562C22×C4C23×D7911yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—3161no—
1566Q16—3161no—
1567Q16—1582no—
1568Q16—1582no—
1569SD16—41no—
1570SD16—41no—
1571SD16—3161no—
1572SD16—3161no—
1573SD16—3161no—
1574SD16—3161no—
1575SD16—3161no—
1576SD16—3161no—
1577SD16—1582no—
1578SD16—1582no—
1579SD16—1582no—
1580SD16—1582no—
1581D8—3161no—
1582D8—3161no—
1583D8—3161no—
1584D8—3161no—
1585D8—1582no—
1586D8—1582no—
1587M16—41no—
1588M16—41no—
1589M16—3161no—
1590M16—3161no—
1591C2×C8—3161no—
1592C2×C8—3161no—
1593C2×C8—3161no—
1594C2×C8—3161no—
1595C2×C8—791no—
1596C2×C8—791no—
1597C2×C8—791no—
1598C2×C8—791no—
1599C2×C8C23×D7911yescharacteristic
1600C2×C8C23×D7911yescharacteristic
1601C2×C8C23×D7911yescharacteristic
1602C2×C8C23×D7911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—791no—
1611C4⋊C4—791no—
1612C4⋊C4—791no—
1613C4⋊C4—791no—
1614C4⋊C4—791no—
1615C4⋊C4—791no—
1616C4⋊C4—1581no—
1617C4⋊C4—1581no—
1618C4⋊C4—1581no—
1619C4⋊C4—1581no—
1620C4⋊C4—1581no—
1621C4⋊C4—1581no—
1622C4⋊C4—1581no—
1623C4⋊C4—1581no—
1624C4⋊C4—1581no—
1625C4⋊C4—1581no—
1626C4⋊C4—1581no—
1627C4⋊C4—1581no—
1628C4⋊C4—1581no—
1629C4⋊C4—1581no—
1630C4⋊C4—1581no—
1631C4⋊C4C23×D7911yescharacteristic
1632C4⋊C4C23×D7911yescharacteristic
1633C4⋊C4C23×D7911yescharacteristic
1634C4⋊C4C23×D7911yescharacteristic
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—791no—
1645C22⋊C4—791no—
1646C22⋊C4—791no—
1647C22⋊C4—791no—
1648C22⋊C4—791no—
1649C22⋊C4—791no—
1650C22⋊C4—791no—
1651C22⋊C4—791no—
1652C22⋊C4—1581no—
1653C22⋊C4—1581no—
1654C22⋊C4—1581no—
1655C22⋊C4—1581no—
1656C22⋊C4—1581no—
1657C22⋊C4—1581no—
1658C22⋊C4—1581no—
1659C22⋊C4—1581no—
1660C22⋊C4—1581no—
1661C22⋊C4—1581no—
1662C22⋊C4—1581no—
1663C22⋊C4—1581no—
1664C22⋊C4—1581no—
1665C22⋊C4—1581no—
1666C22⋊C4—1581no—
1667C22⋊C4—1581no—
1668C22⋊C4—1581no—
1669C22⋊C4—1581no—
1670C22⋊C4—1581no—
1671C22⋊C4—1581no—
1672C22⋊C4—1581no—
1673C22⋊C4—1581no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C42—21no—
1679C42—791no—
1680C42—791no—
1681C42—791no—
1682C42—791no—
1683C42—1581no—
1684C42—1581no—
1685C42—1581no—
1686C42—1581no—
1687C42—1581no—
1688C42—1581no—
1689C23—22no—
1690C23—21no—
1691C23—41no—
1692C23—41no—
1693C23—3162no—
1694C23—3162no—
1695C23—3161no—
1696C23—3161no—
1697C23—3161no—
1698C23—3162no—
1699C23—3162no—
1700C23—3162no—
1701C23—791no—
1702C23—791no—
1703C23—6321no—
1704C23—6321no—
1705C23—6321no—
1706C23—6321no—
1707C23—1581no—
1708C23—1581no—
1709C23—1581no—
1710C23—1581no—
1711C23C2×D4×D7911yescharacteristic
1712C23C2×D4×D7911yescharacteristic
1713C23C2×D4×D7911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—81no—
1721Q8—3162no—
1722Q8—3162no—
1723Q8—792no—
1724Q8—1581no—
1725Q8—1581no—
1726Q8—1581no—
1727D4—21no—
1728D4—21no—
1729D4—42no—
1730D4—42no—
1731D4—81no—
1732D4—3162no—
1733D4—3162no—
1734D4—3162no—
1735D4—3162no—
1736D4—3162no—
1737D4—3162no—
1738D4—3162no—
1739D4—3162no—
1740D4—3162no—
1741D4—3162no—
1742D4—3161no—
1743D4—3161no—
1744D4—3162no—
1745D4—3162no—
1746D4—3162no—
1747D4—792no—
1748D4—6321no—
1749D4—6321no—
1750D4—6321no—
1751D4—6321no—
1752D4—6321no—
1753D4—6321no—
1754D4—6321no—
1755D4—1584no—
1756D4—1582no—
1757D4—1582no—
1758D4—1581no—
1759D4—1581no—
1760D4—1581no—
1761D4—1581no—
1762D4—1581no—
1763D4—1581no—
1764D4—1581no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—41no—
1781C2×C4—42no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—3162no—
1785C2×C4—3162no—
1786C2×C4—3162no—
1787C2×C4—3161no—
1788C2×C4—3161no—
1789C2×C4—3162no—
1790C2×C4—3162no—
1791C2×C4—3162no—
1792C2×C4—3162no—
1793C2×C4—3162no—
1794C2×C4—3161no—
1795C2×C4—3161no—
1796C2×C4—3161no—
1797C2×C4—3162no—
1798C2×C4—791no—
1799C2×C4—791no—
1800C2×C4—791no—
1801C2×C4—791no—
1802C2×C4—791no—
1803C2×C4—791no—
1804C2×C4—6321no—
1805C2×C4—6321no—
1806C2×C4—6321no—
1807C2×C4—6321no—
1808C2×C4—6321no—
1809C2×C4—1584no—
1810C2×C4—1581no—
1811C2×C4—1581no—
1812C2×C4—1581no—
1813C2×C4—1581no—
1814C2×C4—1581no—
1815C2×C4—1581no—
1816C2×C4—1581no—
1817C2×C4—1581no—
1818C2×C4C2×D4×D7911yescharacteristic
1819C2×C4C2×D4×D7911yescharacteristic
1820C2×C4C2×D4×D7911yescharacteristic
1821C2×C4C24×D7911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1581no—
1827C8—1581no—
1828C8—1581no—
1829C8—1581no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—82no—
1842C22—3161no—
1843C22—3161no—
1844C22—3161no—
1845C22—3161no—
1846C22—3161no—
1847C22—3161no—
1848C22—3161no—
1849C22—3161no—
1850C22—3161no—
1851C22—3161no—
1852C22—3161no—
1853C22—6324no—
1854C22—6322no—
1855C22—6324no—
1856C22—1581no—
1857C22—1582no—
1858C22—1581no—
1859C22—1581no—
1860C22—1581no—
1861C22—1581no—
1862C22—1581no—
1863C22—12642no—
1864C22#1909936212yes—
1865C22C22×D4×D7911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—3161no—
1877C4—3161no—
1878C4—3161no—
1879C4—1581no—
1880C4—1582no—
1881C4—1581no—
1882C4—1581no—
1883C4—1581no—
1884C4—1581no—
1885C4—1581no—
1886C4H(5,𝔽2)×D7911yescharacteristic
1887C4H(5,𝔽2)×D7911yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—81no—
1892C2—3162no—
1893C2—3161no—
1894C2—3161no—
1895C2—6321no—
1896C2—6321no—
1897C2—6321no—
1898C2#2377703211yescharacteristic
1899C2C2×#1909936211yescharacteristic
1900C2#2377817311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3196C2
socleC22×C79C23×D4
hypercenter#3196D79
hypocenterC79#61606
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3196

Complements

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

NH ≅ G/Ntype
1. #23777241C2semidirect
2. #23776883C2semidirect
3. #23775663C2semidirect
4. #23775611C2semidirect
5. #23775569C2semidirect
6. #23775539C2semidirect
7. #23775521C2semidirect
8. #23775491C2semidirect
9. #23775300C2semidirect
10. #23775248C2semidirect
11. #23775134C2semidirect
12. #23775100C2semidirect
13. #23775028C2semidirect
14. #23775008C2semidirect
15. #23774974C2semidirect
16. #23774947C2semidirect
17. #23774932C2semidirect
18. #23774888C2semidirect
19. #23774441C2semidirect
20. #23774379C2semidirect
21. #23774244C2semidirect
22. #23774195C2semidirect
23. #23774161C2semidirect
24. #23773512C2semidirect
25. #23773421C2semidirect
26. #23772654C2semidirect
27. #23772643C2semidirect
28. #23772621C2semidirect
29. C2×#19098723C2semidirect
30. #23772436C2semidirect
31. C79×#3196C2semidirect
33. C2×#41×D79C22semidirect
34. C2×#14579193C22semidirect
35. C2×#14579189C22semidirect
36. C2×#14579189C22semidirect
37. C2×#14579188C22semidirect
38. C2×#14579184C22semidirect
39. C2×#14579182C22semidirect
40. C22×#11929614C22semidirect
41. C22×#11929611C22semidirect
45. #19099261C22semidirect
46. #19099255C22semidirect
47. #19099255C22semidirect
51. #19099226C22semidirect
53. #19099224C22semidirect
55. #19099219C22semidirect
60. #19099204C22semidirect
61. #19099204C22semidirect
62. #19099204C22semidirect
64. #19099197C22semidirect
70. #19099109C22semidirect
71. #19099099C22semidirect
72. #19099099C22semidirect
73. #19099076C22semidirect
74. #19099076C22semidirect
75. #19099075C22semidirect
78. C2×#14579135C22semidirect
80. #19099031C22semidirect
83. #19098956C22semidirect
84. #19098949C22semidirect
85. #19098948C22semidirect
86. #19098944C22semidirect
87. #19098930C22semidirect
88. #19098926C22semidirect
89. #19098919C22semidirect
90. #19098916C22semidirect
91. #19098907C22semidirect
92. #19098906C22semidirect
93. #19098896C22semidirect
94. #19098890C22semidirect
95. #19098889C22semidirect
96. #19098887C22semidirect
97. #19098887C22semidirect
98. #19098879C22semidirect
99. #19098873C22semidirect
100. #19098869C22semidirect
101. #19098866C22semidirect
102. #19098862C22semidirect
103. #19098820C22semidirect
104. #19098817C22semidirect
105. #19098812C22semidirect
106. #19098810C22semidirect
107. #19098803C22semidirect
108. #19098800C22semidirect
109. #19098797C22semidirect
110. #19098797C22semidirect
111. #19098795C22semidirect
112. #19098794C22semidirect
113. #19098794C22semidirect
114. #19098793C22semidirect
115. #19098788C22semidirect
116. #19098788C22semidirect
117. #19098787C22semidirect
118. #19098783C22semidirect
119. #19098781C22semidirect
120. #19098781C22semidirect
121. #19098781C22semidirect
122. #19098777C22semidirect
123. #19098771C22semidirect
124. #19098767C22semidirect
125. #19098761C22semidirect
126. #19098757C22semidirect
127. #19098728C22semidirect
128. #19098728C22semidirect
129. #19098724C22semidirect
130. #19098723C22semidirect
131. #19098723C22semidirect
132. #19098723C22semidirect
133. #19098723C22semidirect
134. #19098723C22semidirect
135. #19098723C22semidirect
136. #19098723C22semidirect
137. #19098723C22semidirect
138. #19098722C22semidirect
139. #19098717C22semidirect
140. #19098713C22semidirect
141. #19098712C22semidirect
142. #19098711C22semidirect
143. #19098711C22semidirect
144. #19098711C22semidirect
147. #19098710C22semidirect
148. #19098710C22semidirect
149. #19098709C22semidirect
150. #19098708C22semidirect
151. #19098708C22semidirect
152. #19098704C22semidirect
153. #19098704C22semidirect
154. #19098703C22semidirect
155. #19098699C22semidirect
156. #19098699C22semidirect
157. #19098698C22semidirect
158. #19098696C22semidirect
159. #19098674C22semidirect
160. #19098667C22semidirect
161. #19098666C22semidirect
162. #19098662C22semidirect
163. #19098655C22semidirect
164. #19098650C22semidirect
165. #19098648C22semidirect
166. #19098645C22semidirect
167. #19098639C22semidirect
168. #19098639C22semidirect
169. #19098632C22semidirect
170. #19098632C22semidirect
171. #19098631C22semidirect
172. #19098631C22semidirect
173. (C22⋊D79)⋊C8C22semidirect
174. (C22⋊D79)⋊C8C22semidirect
175. #19098617C22semidirect
176. #19098613C22semidirect
177. #19098570C22semidirect
178. #19098566C22semidirect
179. #19098565C22semidirect
180. #19098565C22semidirect
181. #19098558C22semidirect
182. #19098556C22semidirect
183. C2×#14579084C22semidirect
184. C2×#14579081C22semidirect
185. #19098525C22semidirect
186. C2×C22⋊(C79⋊C8)C22semidirect
187. C22⋊C8×D79C22semidirect
189. C2×C22⋊Q8×C79C22semidirect
190. #485×C79C22semidirect
191. #485×C79C22semidirect
192. #484×C79C22semidirect
193. #481×C79C22semidirect
194. #470×C79C22semidirect
195. #470×C79C22semidirect
196. #468×C79C22semidirect
197. #468×C79C22semidirect
198. #452×C79C22semidirect
199. #452×C79C22semidirect
200. #451×C79C22semidirect
201. #448×C79C22semidirect
202. #407×C79C22semidirect
972. #3196D79semidirect
982. C79#61606semidirect
1030. C2×C22⋊Q8C2×D79semidirect
1046. #485C2×D79semidirect
1047. #485C2×D79semidirect
1049. #484C2×D79semidirect
1055. #481C2×D79semidirect
1061. #470C2×D79semidirect
1062. #470C2×D79semidirect
1066. #468C2×D79semidirect
1067. #468C2×D79semidirect
1100. #452C2×D79semidirect
1101. #452C2×D79semidirect
1103. #451C2×D79semidirect
1119. #448C2×D79semidirect
1151. #407C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237772412
#237768832
#237756632
#237756112
#237755692
#237755392
#237755212
#237754912
#237753002
#237752482
#237751342
#237751002
#237750282
#237750082
#237749742
#237749472
#237749322
#237748882
#237744412
#237743792
#237742442
#237741952
#237741612
#237735122
#237734212
#237726542
#237726432
#237726212
C2×#190987232
#237724362
C79×#31962
#6160679