Finite Group Databasebeta

← #35173248

Subgroups — #35173248

Order 20224.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777420C211yesmaximal, characteristic, complemented
2#23776883C211yesmaximal, characteristic, complemented
3#23775584C211yesmaximal, characteristic, complemented
4#23775577C211yesmaximal, characteristic, complemented
5#23775554C211yesmaximal, characteristic, complemented
6#23775547C211yesmaximal, characteristic, complemented
7#23775517C211yesmaximal, characteristic, complemented
8#23775487C211yesmaximal, characteristic, complemented
9#23775404C211yesmaximal, characteristic, complemented
10#23775374C211yesmaximal, characteristic, complemented
11#23774989C211yesmaximal, characteristic, complemented
12#23774944C211yesmaximal, characteristic, complemented
13#23774933C211yesmaximal, characteristic, complemented
14#23774929C211yesmaximal, characteristic, complemented
15#23774907C211yesmaximal, characteristic, complemented
16#23774892C211yesmaximal, characteristic, complemented
17#23774877C211yesmaximal, characteristic, complemented
18#23774877C211yesmaximal, characteristic, complemented
19#23774441C211yesmaximal, characteristic, complemented
20#23774392C211yesmaximal, characteristic, complemented
21#23774244C211yesmaximal, characteristic, complemented
22#23774218C211yesmaximal, characteristic, complemented
23#23774161C211yesmaximal, characteristic, complemented
24#23773546C211yesmaximal, characteristic, complemented
25#23773512C211yesmaximal, characteristic, complemented
26#23772649C211yesmaximal, characteristic, complemented
27#23772643C211yesmaximal, characteristic, complemented
28#23772616C211yesmaximal, characteristic, complemented
29C2×#19098710C211yesmaximal, characteristic, complemented
30#23772426C211yesmaximal, characteristic, complemented
31C79×#3191C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic, complemented
33C2×#41×D79C2211yescharacteristic, complemented
34C2×#14579193C2211yescharacteristic, complemented
35C2×#14579188C2211yescharacteristic, complemented
36C2×#14579188C2211yescharacteristic, complemented
37C2×#14579185C2211yescharacteristic, complemented
38C2×#14579181C2211yescharacteristic, complemented
39C2×#14579181C2211yescharacteristic, complemented
40C22×#11929613C2211yescharacteristic, complemented
41C22×D632C2211yescharacteristic, complemented
42#19099276C2211yescharacteristic, complemented
43#19099271C2211yescharacteristic, complemented
44#19099265C2211yescharacteristic
45#19099262—21no—
46#19099257C2211yescharacteristic, complemented
47#19099232C2211yescharacteristic, complemented
48#19099231C2211yescharacteristic, complemented
49#19099226C2211yescharacteristic, complemented
50#19099223C2211yescharacteristic, complemented
51#19099219C2211yescharacteristic
52#19099215C2211yescharacteristic, complemented
53#19099211—21no—
54#19099210C2211yescharacteristic, complemented
55#19099208—21no—
56#19099205—21no—
57#19099204C2211yescharacteristic
58#19099204C2211yescharacteristic
59#19099201C2211yescharacteristic, complemented
60#19099200—21no—
61#19099200—21no—
62#19099197C2211yescharacteristic, complemented
63#19099197C2211yescharacteristic, complemented
64#19099195—21no—
65#19099195—21no—
66#19099165—21no—
67#19099149—21no—
68#19099146—21no—
69#19099110—21no—
70#19099109C2211yescharacteristic, complemented
71#19099108C2211yescharacteristic, complemented
72#19099099C2211yescharacteristic, complemented
73#19099076C2211yescharacteristic, complemented
74#19099075C2211yescharacteristic, complemented
75#19099072—21no—
76#19099072—21no—
77C2×#14579135C2211yescharacteristic, complemented
78#121×D79C2211yescharacteristic, complemented
79#19099035—21no—
80#19099031C2211yescharacteristic, complemented
81C2×C4×C22⋊D79C2211yescharacteristic
82C4×D4×D79—21no—
83#19098956C2211yescharacteristic, complemented
84#19098951C2211yescharacteristic, complemented
85#19098949C2211yescharacteristic, complemented
86#19098949C2211yescharacteristic, complemented
87#19098930C2211yescharacteristic, complemented
88#19098926C2211yescharacteristic, complemented
89#19098924C2211yescharacteristic, complemented
90#19098921C2211yescharacteristic, complemented
91#19098907C2211yescharacteristic, complemented
92#19098896C2211yescharacteristic, complemented
93#19098895C2211yescharacteristic, complemented
94#19098890C2211yescharacteristic, complemented
95#19098887C2211yescharacteristic, complemented
96#19098887C2211yescharacteristic, complemented
97#19098879C2211yescharacteristic, complemented
98#19098878C2211yescharacteristic, complemented
99#19098873C2211yescharacteristic, complemented
100#19098866C2211yescharacteristic, complemented
101#19098847C2211yescharacteristic, complemented
102#19098842C2211yescharacteristic, complemented
103#19098820C2211yescharacteristic, complemented
104#19098817C2211yescharacteristic, complemented
105#19098817C2211yescharacteristic, complemented
106#19098815C2211yescharacteristic, complemented
107#19098812C2211yescharacteristic, complemented
108#19098810C2211yescharacteristic, complemented
109#19098810C2211yescharacteristic, complemented
110#19098808C2211yescharacteristic, complemented
111#19098797C2211yescharacteristic, complemented
112#19098797C2211yescharacteristic, complemented
113#19098794C2211yescharacteristic, complemented
114#19098794C2211yescharacteristic, complemented
115#19098788C2211yescharacteristic, complemented
116#19098787C2211yescharacteristic, complemented
117#19098783C2211yescharacteristic, complemented
118#19098781C2211yescharacteristic, complemented
119#19098781C2211yescharacteristic, complemented
120#19098777C2211yescharacteristic, complemented
121#19098767C2211yescharacteristic, complemented
122#19098766C2211yescharacteristic, complemented
123#19098762C2211yescharacteristic, complemented
124#19098757C2211yescharacteristic, complemented
125#19098757C2211yescharacteristic, complemented
126#19098756C2211yescharacteristic, complemented
127#19098728C2211yescharacteristic, complemented
128#19098724C2211yescharacteristic, complemented
129#19098723C2211yescharacteristic, complemented
130#19098723C2211yescharacteristic, complemented
131#19098722C2211yescharacteristic, complemented
132#19098718C2211yescharacteristic, complemented
133#19098715C2211yescharacteristic, complemented
134#19098713C2211yescharacteristic, complemented
135#19098713C2211yescharacteristic, complemented
136#19098711C2211yescharacteristic, complemented
137#19098711C2211yescharacteristic, complemented
138#19098710C2211yescharacteristic
139#19098710C2211yescharacteristic, complemented
140#19098710C2211yescharacteristic, complemented
141#19098710C2211yescharacteristic, complemented
142#19098710C2211yescharacteristic, complemented
143#19098710C2211yescharacteristic, complemented
144#19098710C2211yescharacteristic, complemented
145#19098710C2211yescharacteristic, complemented
146#19098709C2211yescharacteristic, complemented
147#19098708C2211yescharacteristic, complemented
148#19098708C2211yescharacteristic, complemented
149#19098706C2211yescharacteristic, complemented
150#19098706C2211yescharacteristic, complemented
151#19098703C2211yescharacteristic, complemented
152#19098701C2211yescharacteristic, complemented
153#19098700C2211yescharacteristic, complemented
154#19098698C2211yescharacteristic, complemented
155#19098698C2211yescharacteristic, complemented
156#19098696C2211yescharacteristic, complemented
157#19098696C2211yescharacteristic, complemented
158#19098695C2211yescharacteristic, complemented
159#19098674C2211yescharacteristic, complemented
160#19098674C2211yescharacteristic, complemented
161#19098672C2211yescharacteristic, complemented
162#19098667C2211yescharacteristic, complemented
163#19098666C2211yescharacteristic, complemented
164#19098662C2211yescharacteristic, complemented
165#19098662C2211yescharacteristic, complemented
166#19098660C2211yescharacteristic, complemented
167#19098634C2211yescharacteristic, complemented
168#19098634C2211yescharacteristic, complemented
169#19098634C2211yescharacteristic, complemented
170#19098634C2211yescharacteristic, complemented
171#19098631C2211yescharacteristic, complemented
172#19098631C2211yescharacteristic, complemented
173#19098631C2211yescharacteristic, complemented
174#19098631C2211yescharacteristic, complemented
175#19098617C2211yescharacteristic, complemented
176#19098617C2211yescharacteristic, complemented
177#19098570C2211yescharacteristic, complemented
178#19098566C2211yescharacteristic, complemented
179#19098563C2211yescharacteristic, complemented
180#19098561C2211yescharacteristic, complemented
181#19098557C2211yescharacteristic, complemented
182#19098557C2211yescharacteristic, complemented
183C2×#14579086C2211yescharacteristic, complemented
184C2×#14579083C2211yescharacteristic, complemented
185#19098525C2211yescharacteristic, complemented
186#19098525C2211yescharacteristic, complemented
187C2×C22⋊(C79⋊C8)C2211yescharacteristic, complemented
188#525×C79C2211yescharacteristic, complemented
189#525×C79C2211yescharacteristic, complemented
190#485×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#482×C79C2211yescharacteristic, complemented
193#482×C79C2211yescharacteristic, complemented
194#467×C79C2211yescharacteristic, complemented
195#466×C79C2211yescharacteristic, complemented
196#465×C79C2211yescharacteristic, complemented
197#465×C79C2211yescharacteristic, complemented
198#452×C79C2211yescharacteristic, complemented
199#452×C79C2211yescharacteristic, complemented
200#449×C79C2211yescharacteristic, complemented
201#449×C79C2211yescharacteristic, complemented
202C2×C22⋊C8×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929625C2311yescharacteristic
205C2×#11929624—21no—
206C2×#11929624—21no—
207C2×#11929624—21no—
208C2×#11929624—42no—
209C2×#11929624—42no—
210C2×#11929624C2311yescharacteristic
211C2×#11929624C2311yescharacteristic
212C2×#11929624C2311yescharacteristic
213C2×#11929624C2311yescharacteristic
214C2×#11929623—21no—
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×D79—21no—
229C2×D4×D79—21no—
230C2×D4×D79C2311yescharacteristic
231C2×D4×D79C2311yescharacteristic
232C22×C4×D79—21no—
233C22×C4×D79—21no—
234C22×C4×D79C2311yescharacteristic
235#14579193—42no—
236#14579188—42no—
237#14579188—42no—
238#14579185—42no—
239#14579181—42no—
240#14579181—42no—
241C2×#11929614C2311yescharacteristic
242C2×#11929614C2311yescharacteristic
243C2×#11929613—42no—
244C2×#11929613C2311yescharacteristic
245C2×#11929613C2311yescharacteristic
246C2×#11929613C2311yescharacteristic
247C2×#11929613C2311yescharacteristic
248C2×#11929612C2311yescharacteristic
249C2×#11929612C2311yescharacteristic
250C2×#11929611C2311yescharacteristic
251C2×#11929611C2311yescharacteristic
252C2×#11929611C2311yescharacteristic
253C2×#11929611C2311yescharacteristic
254C2×D632—42no—
255C2×D632C2311yescharacteristic
256C2×D632C2311yescharacteristic
257C2×D632C2311yescharacteristic
258C2×D632C2311yescharacteristic
259C2×#11929609C2311yescharacteristic
260C2×#11929609C2311yescharacteristic
261C2×#11929609C2311yescharacteristic
262C2×#11929609C2311yescharacteristic
263C2×#11929607C2311yescharacteristic
264C2×#11929607C2311yescharacteristic
265C2×#11929607C2311yescharacteristic
266C2×#11929607C2311yescharacteristic
267C22×C79⋊C8C2311yescharacteristic
268C22×C79⋊C8C2311yescharacteristic
269#14579160—21no—
270#14579160C2311yescharacteristic
271#14579159C2311yescharacteristic
272#14579157—21no—
273#14579157—21no—
274#14579157C2311yescharacteristic
275#14579157C2311yescharacteristic
276#14579156—21no—
277#14579155—21no—
278#14579154—21no—
279#14579152C2311yescharacteristic
280#14579151—21no—
281#14579150C2311yescharacteristic
282#14579150C2311yescharacteristic
283#14579149—21no—
284#14579148C2311yescharacteristic
285#14579147—21no—
286#14579147—21no—
287#14579147—21no—
288#14579147—21no—
289#14579146—21no—
290#14579146—21no—
291#14579146—21no—
292#14579146—21no—
293#14579145—21no—
294#14579145—21no—
295#14579145—21no—
296#14579144—21no—
297#14579143—21no—
298#14579143—21no—
299#14579143—21no—
300#14579141—21no—
301#14579141C2311yescharacteristic
302#14579141C2311yescharacteristic
303#14579139—21no—
304#14579139—21no—
305#14579138—21no—
306#14579138—21no—
307#14579138—21no—
308#14579137C2311yescharacteristic
309#14579136—21no—
310#14579136—21no—
311#14579136C2311yescharacteristic
312#14579136C2311yescharacteristic
313#14579136C2311yescharacteristic
314#14579136C2311yescharacteristic
315#14579135—21no—
316#14579135—21no—
317#14579135—21no—
318#14579135C2311yescharacteristic
319#14579135C2311yescharacteristic
320#14579135C2311yescharacteristic
321#14579135C2311yescharacteristic
322#14579134—21no—
323#14579134—21no—
324#14579134—21no—
325#14579134—21no—
326#14579134—21no—
327#14579134—21no—
328#14579134—21no—
329#14579134—21no—
330#14579133—21no—
331#14579133—21no—
332#14579133—21no—
333#14579133—21no—
334#14579133—21no—
335#14579133—21no—
336#14579133—21no—
337#14579133—21no—
338#14579132—21no—
339#14579132—21no—
340#14579132C2311yescharacteristic
341#14579131—21no—
342#14579131—21no—
343#14579131—21no—
344#14579131—21no—
345#14579131—21no—
346#14579131—21no—
347#14579129—21no—
348#14579129—21no—
349#14579129—21no—
350#14579129—21no—
351Q8×Dic79C2311yescharacteristic
352#14579126C2311yescharacteristic
353#14579126C2311yescharacteristic
354C4×D316—21no—
355C4×D316—21no—
356C4×D316—21no—
357D4×Dic79—21no—
358D4×Dic79—21no—
359D4×Dic79C2311yescharacteristic
360#14579123—21no—
361#14579123—21no—
362#14579123C2311yescharacteristic
363#14579123C2311yescharacteristic
364#14579123C2311yescharacteristic
365#14579123C2311yescharacteristic
366C4×C22⋊D79—21no—
367C4×C22⋊D79—21no—
368C4×C22⋊D79—21no—
369C4×C22⋊D79D411yescharacteristic
370C4×C22⋊D79D411yescharacteristic
371C4×C22⋊D79D411yescharacteristic
372C4×C22⋊D79D411yescharacteristic
373C4×C22⋊D79C2311yescharacteristic
374C4×C22⋊D79C2311yescharacteristic
375C4×C22⋊D79C2311yescharacteristic
376C4×C22⋊D79C2311yescharacteristic
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(C22⋊D79)⋊C4—21no—
385#14579119—21no—
386#14579119C2311yescharacteristic
387#14579118—21no—
388#14579118—21no—
389C2×C4⋊Dic79C2311yescharacteristic
390C2×Dic79⋊C4D411yescharacteristic
391C4⋊C4×D79—21no—
392C4⋊C4×D79C2311yescharacteristic
393C2×C22⋊Dic79D411yescharacteristic
394C2×(C2×D79)⋊C4—21no—
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
445#14579071C2311yescharacteristic
446#14579071C2311yescharacteristic
447C2×#41×C79C2311yescharacteristic
448C2×#41×C79C2311yescharacteristic
449C23×C4×C79C2311yescharacteristic
450C2×Q16×C79C2311yescharacteristic
451C2×SD16×C79C2311yescharacteristic
452C2×SD16×C79C2311yescharacteristic
453C2×D8×C79C2311yescharacteristic
454C22×C8×C79C2311yescharacteristic
455C22×C8×C79C2311yescharacteristic
456#123×C79—21no—
457#123×C79—21no—
458C22⋊Q8×C79C2311yescharacteristic
459C22⋊Q8×C79C2311yescharacteristic
460C22⋊Q8×C79C2311yescharacteristic
461C22⋊Q8×C79C2311yescharacteristic
462#121×C79C2311yescharacteristic
463#121×C79C2311yescharacteristic
464#121×C79C2311yescharacteristic
465#121×C79C2311yescharacteristic
466#120×C79—21no—
467#120×C79—21no—
468C4×D4×C79—21no—
469C4×D4×C79—21no—
470C4×D4×C79—21no—
471C4×D4×C79—21no—
472#117×C79C2311yescharacteristic
473#117×C79C2311yescharacteristic
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#102×C79C2311yescharacteristic
483#102×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×D79—21no—
494C23×D79C2×D411yescharacteristic
495#11929625—22no—
496#11929625—41no—
497#11929625—41no—
498#11929625—41no—
499#11929624—22no—
500#11929624—22no—
501#11929624—22no—
502#11929624—22no—
503#11929624—44no—
504#11929624—41no—
505#11929624—41no—
506#11929624—41no—
507#11929624—41no—
508#11929624—44no—
509#11929624—44no—
510#11929623—22no—
511#11929623—44no—
512#11929623—41no—
513#11929623—82no—
514C2×Dic158—22no—
515C2×Dic158—21no—
516C2×Dic158—21no—
517C2×Dic158—21no—
518C2×Dic158—41no—
519C2×Dic158C2411yescharacteristic
520C2×Dic158C2411yescharacteristic
521Q8×D79—22no—
522Q8×D79—41no—
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—21no—
552C2×C22⋊D79—21no—
553C2×C22⋊D79—21no—
554C2×C22⋊D79—21no—
555C2×C22⋊D79—42no—
556C2×C22⋊D79—44no—
557C2×C22⋊D79—82no—
558C2×C22⋊D79C2×D411yescharacteristic
559C2×C22⋊D79C2×D411yescharacteristic
560C2×C22⋊D79C2×D411yescharacteristic
561C2×C22⋊D79C2×D411yescharacteristic
562D4×D79—22no—
563D4×D79—44no—
564D4×D79—44no—
565D4×D79—44no—
566D4×D79—41no—
567D4×D79—41no—
568D4×D79—41no—
569D4×D79—82no—
570C22×Dic79—21no—
571C22×Dic79—21no—
572C22×Dic79—21no—
573C22×Dic79—21no—
574C22×Dic79C2×D411yescharacteristic
575C22×Dic79C2×D411yescharacteristic
576C22×Dic79C2×D411yescharacteristic
577C2×C4×D79—21no—
578C2×C4×D79—21no—
579C2×C4×D79—21no—
580C2×C4×D79—21no—
581C2×C4×D79—21no—
582C2×C4×D79—21no—
583C2×C4×D79—21no—
584C2×C4×D79—21no—
585C2×C4×D79—21no—
586C2×C4×D79—21no—
587C2×C4×D79—21no—
588C2×C4×D79—21no—
589C2×C4×D79—41no—
590C2×C4×D79—41no—
591C2×C4×D79—44no—
592C2×C4×D79—44no—
593C2×C4×D79C2×D411yescharacteristic
594C2×C4×D79C2×D411yescharacteristic
595C2×C4×D79C2411yescharacteristic
596C2×C4×D79C2411yescharacteristic
597#11929614—22no—
598#11929614—41no—
599#11929613—22no—
600#11929613—22no—
601#11929613—41no—
602#11929613—41no—
603#11929612—22no—
604#11929612—41no—
605#11929611—22no—
606#11929611—41no—
607#11929611—41no—
608#11929611—41no—
609D632—22no—
610D632—22no—
611D632—41no—
612D632—41no—
613#11929609—22no—
614#11929609—41no—
615#11929609—41no—
616#11929609—41no—
617#11929607—41no—
618#11929607—41no—
619#11929607—41no—
620#11929607—41no—
621C2×C79⋊C8—41no—
622C2×C79⋊C8—41no—
623C2×C79⋊C8C2411yescharacteristic
624C2×C79⋊C8C2411yescharacteristic
625C2×C79⋊C8C2411yescharacteristic
626C2×C79⋊C8C2411yescharacteristic
627C4⋊Dic79—21no—
628C4⋊Dic79—21no—
629C4⋊Dic79—21no—
630C4⋊Dic79—21no—
631C4⋊Dic79—21no—
632C4⋊Dic79C2411yescharacteristic
633C4⋊Dic79C2411yescharacteristic
634Dic79⋊C4—21no—
635Dic79⋊C4—21no—
636Dic79⋊C4—21no—
637Dic79⋊C4—21no—
638Dic79⋊C4—21no—
639Dic79⋊C4—21no—
640Dic79⋊C4—21no—
641Dic79⋊C4—21no—
642Dic79⋊C4C2×D411yescharacteristic
643Dic79⋊C4C2×D411yescharacteristic
644Dic79⋊C4C2×D411yescharacteristic
645Dic79⋊C4C2×D411yescharacteristic
646C22⋊Dic79—21no—
647C22⋊Dic79—21no—
648C22⋊Dic79—21no—
649C22⋊Dic79—21no—
650C22⋊Dic79C2×D411yescharacteristic
651C22⋊Dic79C2×D411yescharacteristic
652C22⋊Dic79C2×D411yescharacteristic
653C22⋊Dic79C2×D411yescharacteristic
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)⋊C4—21no—
670(C2×D79)⋊C4—21no—
671(C2×D79)⋊C4—21no—
672(C2×D79)⋊C4—21no—
673(C2×D79)⋊C4—21no—
674(C2×D79)⋊C4C2×D411yescharacteristic
675(C2×D79)⋊C4C2×D411yescharacteristic
676(C2×D79)⋊C4C2×D411yescharacteristic
677(C2×D79)⋊C4C2×D411yescharacteristic
678C4×Dic79—21no—
679C4×Dic79—21no—
680C4×Dic79—21no—
681C4×Dic79—21no—
682C4×Dic79C2×D411yescharacteristic
683C4×Dic79C2×D411yescharacteristic
684C4×Dic79C2411yescharacteristic
685C4×Dic79C2411yescharacteristic
686C24×C79C2×D411yescharacteristic
687#41×C79—41no—
688#41×C79—41no—
689#41×C79—41no—
690#41×C79—41no—
691C2×Q8×C79C2411yescharacteristic
692C2×Q8×C79C2411yescharacteristic
693C2×D4×C79—21no—
694C2×D4×C79—21no—
695C2×D4×C79—21no—
696C2×D4×C79—21no—
697C2×D4×C79—21no—
698C2×D4×C79—21no—
699C2×D4×C79C2411yescharacteristic
700C2×D4×C79C2411yescharacteristic
701C22×C4×C79—21no—
702C22×C4×C79—21no—
703C22×C4×C79—41no—
704C22×C4×C79—41no—
705C22×C4×C79C2×D411yescharacteristic
706C22×C4×C79C2×D411yescharacteristic
707C22×C4×C79C2×D411yescharacteristic
708C22×C4×C79C2411yescharacteristic
709C22×C4×C79C2411yescharacteristic
710C22×C4×C79C2411yescharacteristic
711Q16×C79—41no—
712SD16×C79—41no—
713SD16×C79—41no—
714D8×C79—41no—
715C2×C8×C79—41no—
716C2×C8×C79—41no—
717C2×C8×C79C2411yescharacteristic
718C2×C8×C79C2411yescharacteristic
719C2×C8×C79C2411yescharacteristic
720C2×C8×C79C2411yescharacteristic
721C4⋊C4×C79—21no—
722C4⋊C4×C79—21no—
723C4⋊C4×C79—21no—
724C4⋊C4×C79—21no—
725C4⋊C4×C79C2411yescharacteristic
726C4⋊C4×C79C2411yescharacteristic
727C4⋊C4×C79C2411yescharacteristic
728C4⋊C4×C79C2411yescharacteristic
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—
737C22⋊C4×C79—21no—
738C22⋊C4×C79—21no—
739C42×C79—21no—
740C42×C79—21no—
741C23×C79—22no—
742C23×C79—21no—
743C23×C79—21no—
744C23×C79—41no—
745C23×C79—41no—
746C23×C79C22×D411yescharacteristic
747C23×C79C22×D411yescharacteristic
748C23×C79C22×D411yescharacteristic
749C22×D79—21no—
750C22×D79—21no—
751C22×D79—21no—
752C22×D79—21no—
753C22×D79—41no—
754C22×D79—41no—
755C22×D79—41no—
756C22×D79—42no—
757C22×D79—42no—
758C22×D79—42no—
759C22×D79—42no—
760C22×D79—42no—
761C22×D79—42no—
762C22×D79—81no—
763C22×D79—81no—
764C22×D79—81no—
765C22×D79—81no—
766C22×D79—81no—
767C22×D79—81no—
768C22×D79C22×D411yescharacteristic
769C22×D79C22×D411yescharacteristic
770Q8×C79—21no—
771Q8×C79—21no—
772Q8×C79—21no—
773Q8×C79—21no—
774D4×C79—21no—
775D4×C79—21no—
776D4×C79—21no—
777D4×C79—21no—
778D4×C79—42no—
779D4×C79—42no—
780D4×C79—42no—
781D4×C79—42no—
782D4×C79—81no—
783D4×C79—81no—
784C2×C4×C79—21no—
785C2×C4×C79—21no—
786C2×C4×C79—21no—
787C2×C4×C79—21no—
788C2×C4×C79—21no—
789C2×C4×C79—21no—
790C2×C4×C79—21no—
791C2×C4×C79—21no—
792C2×C4×C79—21no—
793C2×C4×C79—21no—
794C2×C4×C79—21no—
795C2×C4×C79—21no—
796C2×C4×C79—41no—
797C2×C4×C79—41no—
798C2×C4×C79—41no—
799C2×C4×C79—42no—
800C2×C4×C79—81no—
801C2×C4×C79C22×D411yescharacteristic
802C2×C4×C79C22×D411yescharacteristic
803C2×C4×C79C22×D411yescharacteristic
804C2×C4×C79C2511yescharacteristic
805C22⋊D79—24no—
806C22⋊D79—22no—
807C22⋊D79—22no—
808C22⋊D79—41no—
809C22⋊D79—41no—
810C22⋊D79—42no—
811C22⋊D79—42no—
812C22⋊D79—42no—
813C22⋊D79—42no—
814C22⋊D79—42no—
815C22⋊D79—42no—
816C22⋊D79—42no—
817C22⋊D79—42no—
818C22⋊D79—42no—
819C22⋊D79—81no—
820C22⋊D79—81no—
821C22⋊D79—81no—
822C22⋊D79—81no—
823C22⋊D79—81no—
824C22⋊D79—81no—
825C2×Dic79—21no—
826C2×Dic79—21no—
827C2×Dic79—21no—
828C2×Dic79—21no—
829C2×Dic79—41no—
830C2×Dic79—41no—
831C2×Dic79—41no—
832C2×Dic79—42no—
833C2×Dic79—42no—
834C2×Dic79—81no—
835C2×Dic79—81no—
836C2×Dic79C22×D411yescharacteristic
837C2×Dic79C22×D411yescharacteristic
838C2×Dic79C22×D411yescharacteristic
839C2×Dic79C22×D411yescharacteristic
840C2×Dic79C22×D411yescharacteristic
841C2×Dic79C22×D411yescharacteristic
842D316—21no—
843D316—21no—
844D316—21no—
845D316—21no—
846D316—21no—
847D316—21no—
848D316—21no—
849D316—42no—
850D316—42no—
851D316—42no—
852D316—42no—
853D316—81no—
854D316—81no—
855D316—81no—
856D316—81no—
857D316H(5,𝔽2)12yes—
858C4×D79—24no—
859C4×D79—21no—
860C4×D79—21no—
861C4×D79—21no—
862C4×D79—21no—
863C4×D79—41no—
864C4×D79—41no—
865C4×D79—42no—
866C4×D79—42no—
867C4×D79—42no—
868C4×D79—42no—
869C4×D79—42no—
870C4×D79—42no—
871C4×D79—42no—
872C4×D79—81no—
873C4×D79—81no—
874C4×D79—81no—
875C4×D79—81no—
876Dic158—21no—
877Dic158—21no—
878Dic158—21no—
879Dic158—42no—
880Dic158—42no—
881Dic158—81no—
882Dic158H(5,𝔽2)12yes—
883C8×C79—21no—
884C8×C79—21no—
885C8×C79—21no—
886C8×C79—21no—
887C79⋊C8—21no—
888C79⋊C8—21no—
889C79⋊C8—21no—
890C79⋊C8—21no—
891C22×C79—21no—
892C22×C79—21no—
893C22×C79—21no—
894C22×C79—21no—
895C22×C79—21no—
896C22×C79—21no—
897C22×C79—21no—
898C22×C79—21no—
899C22×C79—41no—
900C22×C79—41no—
901C22×C79—41no—
902C22×C79—41no—
903C22×C79—41no—
904C22×C79—41no—
905C22×C79—82no—
906C22×C79#57512yes—
907C22×C79C23×D411yescharacteristic
908C2×D79—21no—
909C2×D79—21no—
910C2×D79—22no—
911C2×D79—21no—
912C2×D79—21no—
913C2×D79—21no—
914C2×D79—21no—
915C2×D79—41no—
916C2×D79—41no—
917C2×D79—41no—
918C2×D79—41no—
919C2×D79—41no—
920C2×D79—41no—
921C2×D79—41no—
922C2×D79—41no—
923C2×D79—41no—
924C2×D79—41no—
925C2×D79—41no—
926C2×D79—82no—
927C2×D79—84no—
928C2×D79—84no—
929C2×D79—162no—
930C2×D79—162no—
931C4×C79—21no—
932C4×C79—21no—
933C4×C79—21no—
934C4×C79—41no—
935C4×C79—41no—
936C4×C79—41no—
937C4×C79—41no—
938C4×C79—41no—
939C4×C79—41no—
940C4×C79C2×H(5,𝔽2)11yescharacteristic
941C4×C79C2×H(5,𝔽2)11yescharacteristic
942Dic79—21no—
943Dic79—21no—
944Dic79—22no—
945Dic79—21no—
946Dic79—21no—
947Dic79—21no—
948Dic79—21no—
949Dic79—41no—
950Dic79—41no—
951Dic79—41no—
952#61579—791nomaximal, Sylow
953C2×C79—22no—
954C2×C79—41no—
955C2×C79—41no—
956C2×C79—81no—
957C2×C79—81no—
958C2×C79#348411yescharacteristic
959C2×C79C2×#57511yescharacteristic
960C2×C79#358511yescharacteristic
961D79—41no—
962D79—41no—
963D79—42no—
964D79—81no—
965D79—81no—
966D79—81no—
967#3519—791no—
968D4×#41—791no—
969#3321—791no—
970#3320—791no—
971#3319—791no—
972#3318—791no—
973#3316—791no—
974#3314—791no—
975#3309—791no—
976#3307—791no—
977#3271—791no—
978#3268—791no—
979#3268—791no—
980#3267—791no—
981#3266—791no—
982#3265—791no—
983#3264—791no—
984#3264—791no—
985#3219—791no—
986#3214—791no—
987#3197—791no—
988#3194—791no—
989#3191D7911yescharacteristic, complemented
990#3188—791no—
991#3115—791no—
992#3111—791no—
993#3006—791no—
994#3005—791no—
995#3002—791no—
996C2×#449—791no—
997#2973—791no—
998C79#6157911yescharacteristic, complemented, Sylow
999C22×#41—791no—
1000C22×#41—791no—
1001C2×#137—791no—
1002C2×AGL(1,ℤ/8)—791no—
1003C2×AGL(1,ℤ/8)—791no—
1004C2×AGL(1,ℤ/8)—791no—
1005C2×#135—791no—
1006C2×#135—791no—
1007C22×SD16—791no—
1008C22×D8—791no—
1009#555—791no—
1010#554—791no—
1011#553—791no—
1012#553—791no—
1013#553—1581no—
1014#550—791no—
1015#550—791no—
1016D4×Q8—791no—
1017#548—791no—
1018#548—791no—
1019#547—791no—
1020#547—1581no—
1021#546—791no—
1022#546—791no—
1023#546—791no—
1024#546—791no—
1025#546—1581no—
1026#546—1581no—
1027#546—1581no—
1028#546—1581no—
1029D42—791no—
1030D42—791no—
1031D42—1581no—
1032D42—1581no—
1033#540—1581no—
1034#538—1581no—
1035#538—1581no—
1036#532—791no—
1037#532—791no—
1038#532—1581no—
1039#529—791no—
1040#525—791no—
1041#525—791no—
1042#525—1581no—
1043#525—1581no—
1044#525C2×D7911yescharacteristic, complemented
1045#525C2×D7911yescharacteristic, complemented
1046C2×#121—791no—
1047C2×#121—791no—
1048#518—1581no—
1049C4×#41—791no—
1050C2×C4×D4—791no—
1051C2×C4×D4—1581no—
1052#497—791no—
1053#496—791no—
1054#496—791no—
1055#496—791no—
1056#491—791no—
1057#490—791no—
1058#489—791no—
1059#489—791no—
1060#485—791no—
1061#485C2×D7911yescharacteristic, complemented
1062#485C2×D7911yescharacteristic, complemented
1063#484—791no—
1064#483—791no—
1065#482—791no—
1066#482—791no—
1067#482—791no—
1068#482C2×D7911yescharacteristic, complemented
1069#482C2×D7911yescharacteristic, complemented
1070#481—791no—
1071#480—791no—
1072#479—791no—
1073#478—791no—
1074#475—791no—
1075#474—791no—
1076#470—791no—
1077#469—791no—
1078#469—791no—
1079#469—791no—
1080#468—791no—
1081#468—791no—
1082#468—791no—
1083#468—791no—
1084#467C2×D7911yescharacteristic, complemented
1085#466—791no—
1086#466—791no—
1087#466C2×D7911yescharacteristic, complemented
1088#465—791no—
1089#465—791no—
1090#465C2×D7911yescharacteristic, complemented
1091#465C2×D7911yescharacteristic, complemented
1092#464—791no—
1093#464—791no—
1094#464—791no—
1095#463—791no—
1096#463—791no—
1097#463—791no—
1098#461—791no—
1099#461—791no—
1100#460—791no—
1101#459—791no—
1102#459—791no—
1103#459—791no—
1104#452—791no—
1105#452—791no—
1106#452—791no—
1107#452—791no—
1108#452—791no—
1109#452C2×D7911yescharacteristic, complemented
1110#452C2×D7911yescharacteristic, complemented
1111#451—791no—
1112#450—791no—
1113#450—791no—
1114#450—791no—
1115#449—791no—
1116#449—791no—
1117#449—791no—
1118#449—791no—
1119#449—791no—
1120#449—791no—
1121#449—791no—
1122#449—791no—
1123#449—791no—
1124#449—791no—
1125#449—791no—
1126#449—791no—
1127#449—791no—
1128#449—791no—
1129#449—791no—
1130#449C2×D7911yescharacteristic, complemented
1131#449C2×D7911yescharacteristic, complemented
1132#448—791no—
1133#448—791no—
1134#448—791no—
1135#447—791no—
1136#447—791no—
1137#447—791no—
1138#447—791no—
1139#447—791no—
1140#442—791no—
1141#442—791no—
1142#442—791no—
1143#441—791no—
1144#440—791no—
1145#440—791no—
1146#440—791no—
1147#440—791no—
1148#435—791no—
1149#435—791no—
1150#435—791no—
1151#435—791no—
1152#435—791no—
1153#435—791no—
1154#435—791no—
1155#435—791no—
1156#432—791no—
1157#432—791no—
1158#419—791no—
1159#418—791no—
1160#417—791no—
1161#417—791no—
1162#416—791no—
1163#416—791no—
1164C2×#103—791no—
1165C2×#102—791no—
1166#407—791no—
1167#407—791no—
1168C2×C22⋊C8—791no—
1169C2×C22⋊C8C2×D7911yescharacteristic, complemented
1170C2×#41—3162no—
1171C2×#41—3162no—
1172C2×#41—3162no—
1173C2×#41—3162no—
1174C2×#41—791no—
1175C2×#41—791no—
1176C2×#41—791no—
1177C2×#41—791no—
1178C2×#41—791no—
1179C2×#41—791no—
1180C2×#41—791no—
1181C2×#41—1581no—
1182C2×#41—1581no—
1183C2×#41—1581no—
1184C2×#41—1581no—
1185C2×#41—1581no—
1186C2×#41C22×D7911yescharacteristic
1187C2×#41C22×D7911yescharacteristic
1188C22×Q8—791no—
1189C22×Q8—791no—
1190C22×D4—791no—
1191C22×D4—791no—
1192C22×D4—791no—
1193C22×D4—791no—
1194C22×D4—791no—
1195C22×D4—1581no—
1196C22×D4—1581no—
1197C22×D4—1581no—
1198C22×D4—1581no—
1199C22×D4—1581no—
1200C22×D4—1581no—
1201C23×C4—791no—
1202C23×C4—1581no—
1203C23×C4—1581no—
1204C23×C4C22×D7911yescharacteristic
1205#137—3162no—
1206AGL(1,ℤ/8)—3162no—
1207AGL(1,ℤ/8)—3162no—
1208AGL(1,ℤ/8)—3162no—
1209#135—3162no—
1210#135—3162no—
1211C2×Q16—791no—
1212C2×Q16—791no—
1213C2×Q16C22×D7911yescharacteristic
1214C2×SD16—3162no—
1215C2×SD16—791no—
1216C2×SD16—791no—
1217C2×SD16—791no—
1218C2×SD16—791no—
1219C2×SD16—791no—
1220C2×SD16—791no—
1221C2×SD16—791no—
1222C2×SD16—791no—
1223C2×SD16—791no—
1224C2×SD16—791no—
1225C2×SD16C22×D7911yescharacteristic
1226C2×SD16C22×D7911yescharacteristic
1227C2×D8—3162no—
1228C2×D8—791no—
1229C2×D8—791no—
1230C2×D8—791no—
1231C2×D8—791no—
1232C2×D8—791no—
1233C2×D8—791no—
1234C2×D8—791no—
1235C2×D8—791no—
1236C2×D8C22×D7911yescharacteristic
1237C2×M16—791no—
1238C2×M16—791no—
1239C2×M16—791no—
1240C2×M16—791no—
1241C22×C8—791no—
1242C22×C8—791no—
1243C22×C8C22×D7911yescharacteristic
1244C22×C8C22×D7911yescharacteristic
1245C4⋊Q8—791no—
1246C4⋊Q8—791no—
1247C4⋊Q8—1581no—
1248#127—791no—
1249#127—791no—
1250#127—1581no—
1251#127—1581no—
1252#126—1581no—
1253#126—1581no—
1254#126—1581no—
1255#125—791no—
1256#125—1581no—
1257#124—791no—
1258#124—791no—
1259#124—791no—
1260#124—1581no—
1261#124—1581no—
1262#124—1581no—
1263#124—1581no—
1264#124—1581no—
1265#123—21no—
1266#123—21no—
1267#123—1581no—
1268#123—1581no—
1269#123—1581no—
1270#123—1581no—
1271#123—1581no—
1272#123—1581no—
1273#123—1581no—
1274#123—1581no—
1275#123—1581no—
1276#123—1581no—
1277#123—1581no—
1278C22⋊Q8—791no—
1279C22⋊Q8—791no—
1280C22⋊Q8—791no—
1281C22⋊Q8—1581no—
1282C22⋊Q8—1581no—
1283C22⋊Q8—1581no—
1284C22⋊Q8—1581no—
1285C22⋊Q8—1581no—
1286C22⋊Q8—1581no—
1287C22⋊Q8C22×D7911yescharacteristic
1288C22⋊Q8C22×D7911yescharacteristic
1289C22⋊Q8C22×D7911yescharacteristic
1290C22⋊Q8C22×D7911yescharacteristic
1291#121—791no—
1292#121—791no—
1293#121—791no—
1294#121—791no—
1295#121—791no—
1296#121—791no—
1297#121—791no—
1298#121—791no—
1299#121—791no—
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#121—1581no—
1309#121—1581no—
1310#121—1581no—
1311#121—1581no—
1312#121—1581no—
1313#121—1581no—
1314#121—1581no—
1315#121—1581no—
1316#121—1581no—
1317#121—1581no—
1318#121—1581no—
1319#121—1581no—
1320#121—1581no—
1321#121—1581no—
1322#121—1581no—
1323#121C22×D7911yescharacteristic
1324#121C22×D7911yescharacteristic
1325#121C22×D7911yescharacteristic
1326#121C22×D7911yescharacteristic
1327#120—21no—
1328#120—21no—
1329#120—1581no—
1330#120—1581no—
1331#120—1581no—
1332#120—1581no—
1333#120—1581no—
1334#120—1581no—
1335#120—1581no—
1336#120—1581no—
1337#120—1581no—
1338#120—1581no—
1339C4×Q8—791no—
1340C4×Q8—791no—
1341C4×Q8—791no—
1342C4×D4—21no—
1343C4×D4—21no—
1344C4×D4—21no—
1345C4×D4—21no—
1346C4×D4—791no—
1347C4×D4—791no—
1348C4×D4—791no—
1349C4×D4—791no—
1350C4×D4—791no—
1351C4×D4—791no—
1352C4×D4—791no—
1353C4×D4—791no—
1354C4×D4—791no—
1355C4×D4—791no—
1356C4×D4—791no—
1357C4×D4—791no—
1358C4×D4—791no—
1359C4×D4—1581no—
1360C4×D4—1581no—
1361C4×D4—1581no—
1362C4×D4—1581no—
1363C4×D4—1581no—
1364C4×D4—1581no—
1365C4×D4—1581no—
1366C4×D4—1581no—
1367C4×D4—1581no—
1368C4×D4—1581no—
1369C4×D4—1581no—
1370C4×D4—1581no—
1371C4×D4—1581no—
1372C4×D4—1581no—
1373C4×D4—1581no—
1374C4×D4—1581no—
1375C4×D4—1581no—
1376C4×D4—1581no—
1377#117—791no—
1378#117—1581no—
1379#117—1581no—
1380#117—1581no—
1381#117C22×D7911yescharacteristic
1382#117C22×D7911yescharacteristic
1383C2×C4⋊C4—791no—
1384C2×C4⋊C4—791no—
1385C2×C4⋊C4—791no—
1386C2×C4⋊C4—1581no—
1387C2×C22⋊C4—791no—
1388C2×C22⋊C4—791no—
1389C2×C22⋊C4—1581no—
1390C2×C22⋊C4—1581no—
1391C2×C22⋊C4—1581no—
1392C2×C22⋊C4—1581no—
1393C2×C22⋊C4—1581no—
1394C2×C22⋊C4—1581no—
1395C2×C42—791no—
1396C2×C42—1581no—
1397#107—791no—
1398#107—791no—
1399#107C22×D7911yescharacteristic
1400#107C22×D7911yescharacteristic
1401#106—791no—
1402#106—791no—
1403#106C22×D7911yescharacteristic
1404#106C22×D7911yescharacteristic
1405C4⋊C8—791no—
1406C4⋊C8—791no—
1407C4⋊C8—791no—
1408C4⋊C8—791no—
1409#103—791no—
1410#103—791no—
1411#103—791no—
1412#103—791no—
1413#103—791no—
1414#103—791no—
1415#103—791no—
1416#103—791no—
1417#103—791no—
1418#103—791no—
1419#103C22×D7911yescharacteristic
1420#103C22×D7911yescharacteristic
1421#103C22×D7911yescharacteristic
1422#103C22×D7911yescharacteristic
1423#102—791no—
1424#102—791no—
1425#102—791no—
1426#102—791no—
1427#102—791no—
1428#102—791no—
1429#102—791no—
1430#102—791no—
1431#102—791no—
1432#102—791no—
1433#102—791no—
1434#102—791no—
1435#102—791no—
1436#102—791no—
1437#102C22×D7911yescharacteristic
1438#102C22×D7911yescharacteristic
1439#102C22×D7911yescharacteristic
1440#102C22×D7911yescharacteristic
1441C22⋊C8—791no—
1442C22⋊C8—791no—
1443C22⋊C8—791no—
1444C22⋊C8—791no—
1445C22⋊C8—791no—
1446C22⋊C8—791no—
1447C22⋊C8—791no—
1448C22⋊C8—791no—
1449C22⋊C8C22×D7911yescharacteristic
1450C22⋊C8C22×D7911yescharacteristic
1451C22⋊C8C22×D7911yescharacteristic
1452C22⋊C8C22×D7911yescharacteristic
1453#97—791no—
1454#97—791no—
1455#97—791no—
1456#97—791no—
1457C24—791no—
1458C24—1581no—
1459C24—1581no—
1460C24—1581no—
1461C24—1581no—
1462C24D4×D7911yescharacteristic
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—3161no—
1468#41—3161no—
1469#41—3161no—
1470#41—3161no—
1471#41—3164no—
1472#41—3164no—
1473#41—3164no—
1474#41—3164no—
1475#41—3161no—
1476#41—3161no—
1477#41—3161no—
1478#41—3161no—
1479#41—6322no—
1480#41—1582no—
1481#41—1582no—
1482#41—1582no—
1483#41—1582no—
1484#41—1582no—
1485#41—1582no—
1486C2×Q8—3161no—
1487C2×Q8—3161no—
1488C2×Q8—791no—
1489C2×Q8—791no—
1490C2×Q8—1582no—
1491C2×Q8—1581no—
1492C2×Q8—1581no—
1493C2×Q8—1582no—
1494C2×Q8—1581no—
1495C2×Q8C23×D7911yescharacteristic
1496C2×Q8C23×D7911yescharacteristic
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—3161no—
1504C2×D4—3161no—
1505C2×D4—3161no—
1506C2×D4—3164no—
1507C2×D4—3164no—
1508C2×D4—3164no—
1509C2×D4—3164no—
1510C2×D4—3162no—
1511C2×D4—3161no—
1512C2×D4—3161no—
1513C2×D4—3161no—
1514C2×D4—791no—
1515C2×D4—791no—
1516C2×D4—791no—
1517C2×D4—791no—
1518C2×D4—791no—
1519C2×D4—791no—
1520C2×D4—791no—
1521C2×D4—791no—
1522C2×D4—6322no—
1523C2×D4—6322no—
1524C2×D4—1581no—
1525C2×D4—1581no—
1526C2×D4—1581no—
1527C2×D4—1582no—
1528C2×D4—1581no—
1529C2×D4—1581no—
1530C2×D4—1581no—
1531C2×D4—1581no—
1532C2×D4—1581no—
1533C2×D4—1581no—
1534C2×D4—1581no—
1535C2×D4—1581no—
1536C2×D4—1581no—
1537C2×D4—1582no—
1538C2×D4—1581no—
1539C2×D4—1581no—
1540C2×D4—1581no—
1541C2×D4—1581no—
1542C2×D4—1581no—
1543C2×D4—1581no—
1544C2×D4—1581no—
1545C2×D4—1581no—
1546C2×D4—1581no—
1547C2×D4—1581no—
1548C2×D4—1581no—
1549C2×D4—1581no—
1550C2×D4C23×D7911yescharacteristic
1551C2×D4C23×D7911yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—41no—
1555C22×C4—41no—
1556C22×C4—3161no—
1557C22×C4—3161no—
1558C22×C4—3164no—
1559C22×C4—3164no—
1560C22×C4—791no—
1561C22×C4—791no—
1562C22×C4—791no—
1563C22×C4—791no—
1564C22×C4—791no—
1565C22×C4—791no—
1566C22×C4—791no—
1567C22×C4—1581no—
1568C22×C4—1581no—
1569C22×C4—1581no—
1570C22×C4—1581no—
1571C22×C4—1581no—
1572C22×C4—1581no—
1573C22×C4—1581no—
1574C22×C4—1581no—
1575C22×C4—1581no—
1576C22×C4—1581no—
1577C22×C4—1581no—
1578C22×C4—1581no—
1579C22×C4—1581no—
1580C22×C4—1581no—
1581C22×C4—1581no—
1582C22×C4—1581no—
1583C22×C4D4×D7911yescharacteristic
1584C22×C4D4×D7911yescharacteristic
1585C22×C4D4×D7911yescharacteristic
1586C22×C4C23×D7911yescharacteristic
1587C22×C4C23×D7911yescharacteristic
1588C22×C4C23×D7911yescharacteristic
1589Q16—41no—
1590Q16—3161no—
1591Q16—1582no—
1592SD16—41no—
1593SD16—41no—
1594SD16—3161no—
1595SD16—3161no—
1596SD16—3161no—
1597SD16—3161no—
1598SD16—3161no—
1599SD16—3161no—
1600SD16—1582no—
1601SD16—1582no—
1602SD16—1582no—
1603SD16—1582no—
1604D8—41no—
1605D8—3161no—
1606D8—3161no—
1607D8—3161no—
1608D8—3161no—
1609D8—3161no—
1610D8—1582no—
1611D8—1582no—
1612D8—1582no—
1613M16—3161no—
1614M16—3161no—
1615M16—3161no—
1616M16—3161no—
1617C2×C8—41no—
1618C2×C8—41no—
1619C2×C8—3161no—
1620C2×C8—3161no—
1621C2×C8—791no—
1622C2×C8—791no—
1623C2×C8—791no—
1624C2×C8—791no—
1625C2×C8C23×D7911yescharacteristic
1626C2×C8C23×D7911yescharacteristic
1627C2×C8C23×D7911yescharacteristic
1628C2×C8C23×D7911yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—21no—
1633C4⋊C4—791no—
1634C4⋊C4—791no—
1635C4⋊C4—791no—
1636C4⋊C4—791no—
1637C4⋊C4—791no—
1638C4⋊C4—791no—
1639C4⋊C4—1581no—
1640C4⋊C4—1581no—
1641C4⋊C4—1581no—
1642C4⋊C4—1581no—
1643C4⋊C4—1581no—
1644C4⋊C4—1581no—
1645C4⋊C4—1581no—
1646C4⋊C4—1581no—
1647C4⋊C4—1581no—
1648C4⋊C4—1581no—
1649C4⋊C4—1581no—
1650C4⋊C4—1581no—
1651C4⋊C4—1581no—
1652C4⋊C4C23×D7911yescharacteristic
1653C4⋊C4C23×D7911yescharacteristic
1654C4⋊C4C23×D7911yescharacteristic
1655C4⋊C4C23×D7911yescharacteristic
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—791no—
1667C22⋊C4—791no—
1668C22⋊C4—791no—
1669C22⋊C4—791no—
1670C22⋊C4—791no—
1671C22⋊C4—791no—
1672C22⋊C4—791no—
1673C22⋊C4—791no—
1674C22⋊C4—1581no—
1675C22⋊C4—1581no—
1676C22⋊C4—1581no—
1677C22⋊C4—1581no—
1678C22⋊C4—1581no—
1679C22⋊C4—1581no—
1680C22⋊C4—1581no—
1681C22⋊C4—1581no—
1682C22⋊C4—1581no—
1683C22⋊C4—1581no—
1684C22⋊C4—1581no—
1685C22⋊C4—1581no—
1686C22⋊C4—1581no—
1687C22⋊C4—1581no—
1688C22⋊C4—1581no—
1689C22⋊C4—1581no—
1690C22⋊C4—1581no—
1691C22⋊C4—1581no—
1692C22⋊C4—1581no—
1693C22⋊C4—1581no—
1694C22⋊C4—1581no—
1695C22⋊C4—1581no—
1696C22⋊C4—1581no—
1697C22⋊C4—1581no—
1698C42—21no—
1699C42—21no—
1700C42—791no—
1701C42—791no—
1702C42—791no—
1703C42—791no—
1704C42—1581no—
1705C42—1581no—
1706C42—1581no—
1707C42—1581no—
1708C23—22no—
1709C23—21no—
1710C23—21no—
1711C23—41no—
1712C23—41no—
1713C23—3162no—
1714C23—3161no—
1715C23—3161no—
1716C23—3161no—
1717C23—3162no—
1718C23—3162no—
1719C23—3162no—
1720C23—3162no—
1721C23—3162no—
1722C23—791no—
1723C23—791no—
1724C23—6321no—
1725C23—6321no—
1726C23—6321no—
1727C23—6321no—
1728C23—6321no—
1729C23—6321no—
1730C23—1581no—
1731C23—1581no—
1732C23—1581no—
1733C23—1581no—
1734C23C2×D4×D7911yescharacteristic
1735C23C2×D4×D7911yescharacteristic
1736C23C2×D4×D7911yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—3162no—
1742Q8—3162no—
1743Q8—792no—
1744Q8—6321no—
1745Q8—1581no—
1746Q8—1581no—
1747Q8—1581no—
1748D4—21no—
1749D4—21no—
1750D4—21no—
1751D4—21no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—42no—
1756D4—81no—
1757D4—81no—
1758D4—3162no—
1759D4—3162no—
1760D4—3162no—
1761D4—3162no—
1762D4—3162no—
1763D4—3162no—
1764D4—3162no—
1765D4—3162no—
1766D4—3162no—
1767D4—3161no—
1768D4—3161no—
1769D4—3162no—
1770D4—3162no—
1771D4—3162no—
1772D4—3162no—
1773D4—792no—
1774D4—6321no—
1775D4—6321no—
1776D4—6321no—
1777D4—6321no—
1778D4—6321no—
1779D4—6321no—
1780D4—6321no—
1781D4—6321no—
1782D4—6321no—
1783D4—6321no—
1784D4—1584no—
1785D4—1582no—
1786D4—1582no—
1787D4—1581no—
1788D4—1581no—
1789D4—1581no—
1790D4—1581no—
1791D4—1581no—
1792D4—1581no—
1793D4—1581no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—41no—
1809C2×C4—42no—
1810C2×C4—81no—
1811C2×C4—3162no—
1812C2×C4—3162no—
1813C2×C4—3162no—
1814C2×C4—3161no—
1815C2×C4—3161no—
1816C2×C4—3162no—
1817C2×C4—3162no—
1818C2×C4—3162no—
1819C2×C4—3162no—
1820C2×C4—3162no—
1821C2×C4—3161no—
1822C2×C4—3161no—
1823C2×C4—3161no—
1824C2×C4—3162no—
1825C2×C4—791no—
1826C2×C4—791no—
1827C2×C4—791no—
1828C2×C4—791no—
1829C2×C4—791no—
1830C2×C4—791no—
1831C2×C4—6321no—
1832C2×C4—6321no—
1833C2×C4—6321no—
1834C2×C4—6321no—
1835C2×C4—6321no—
1836C2×C4—6321no—
1837C2×C4—1584no—
1838C2×C4—1581no—
1839C2×C4—1581no—
1840C2×C4—1581no—
1841C2×C4—1581no—
1842C2×C4—1581no—
1843C2×C4—1581no—
1844C2×C4—1581no—
1845C2×C4—1581no—
1846C2×C4C2×D4×D7911yescharacteristic
1847C2×C4C2×D4×D7911yescharacteristic
1848C2×C4C2×D4×D7911yescharacteristic
1849C2×C4C24×D7911yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—1581no—
1855C8—1581no—
1856C8—1581no—
1857C8—1581no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—82no—
1873C22—3161no—
1874C22—3161no—
1875C22—3161no—
1876C22—3161no—
1877C22—3161no—
1878C22—3161no—
1879C22—3161no—
1880C22—3161no—
1881C22—3161no—
1882C22—3161no—
1883C22—3161no—
1884C22—6324no—
1885C22—6322no—
1886C22—6324no—
1887C22—1581no—
1888C22—1582no—
1889C22—1581no—
1890C22—1581no—
1891C22—1581no—
1892C22—1581no—
1893C22—1581no—
1894C22—12642no—
1895C22—12642no—
1896C22#1909936012yes—
1897C22C22×D4×D7911yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—21no—
1901C4—41no—
1902C4—41no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—3161no—
1908C4—3161no—
1909C4—3161no—
1910C4—1581no—
1911C4—1582no—
1912C4—1581no—
1913C4—1581no—
1914C4—1581no—
1915C4—1581no—
1916C4—1581no—
1917C4H(5,𝔽2)×D7911yescharacteristic
1918C4H(5,𝔽2)×D7911yescharacteristic
1919C2—22no—
1920C2—41no—
1921C2—41no—
1922C2—81no—
1923C2—81no—
1924C2—3162no—
1925C2—3161no—
1926C2—3161no—
1927C2—6321no—
1928C2—6321no—
1929C2—6321no—
1930C2#2377703211yescharacteristic
1931C2C2×#1909936011yescharacteristic
1932C2#2377817711yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3191C2
socleC22×C79C23×D4
hypercenter#3191D79
hypocenterC79#61579
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3191

Complements

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

NH ≅ G/Ntype
1. #23777420C2semidirect
2. #23776883C2semidirect
3. #23775584C2semidirect
4. #23775577C2semidirect
5. #23775554C2semidirect
6. #23775547C2semidirect
7. #23775517C2semidirect
8. #23775487C2semidirect
9. #23775404C2semidirect
10. #23775374C2semidirect
11. #23774989C2semidirect
12. #23774944C2semidirect
13. #23774933C2semidirect
14. #23774929C2semidirect
15. #23774907C2semidirect
16. #23774892C2semidirect
17. #23774877C2semidirect
18. #23774877C2semidirect
19. #23774441C2semidirect
20. #23774392C2semidirect
21. #23774244C2semidirect
22. #23774218C2semidirect
23. #23774161C2semidirect
24. #23773546C2semidirect
25. #23773512C2semidirect
26. #23772649C2semidirect
27. #23772643C2semidirect
28. #23772616C2semidirect
29. C2×#19098710C2semidirect
30. #23772426C2semidirect
31. C79×#3191C2semidirect
32. C22×#11929624C22semidirect
33. C2×#41×D79C22semidirect
34. C2×#14579193C22semidirect
35. C2×#14579188C22semidirect
36. C2×#14579188C22semidirect
37. C2×#14579185C22semidirect
38. C2×#14579181C22semidirect
39. C2×#14579181C22semidirect
40. C22×#11929613C22semidirect
41. C22×D632C22semidirect
42. #19099276C22semidirect
43. #19099271C22semidirect
46. #19099257C22semidirect
47. #19099232C22semidirect
48. #19099231C22semidirect
49. #19099226C22semidirect
50. #19099223C22semidirect
52. #19099215C22semidirect
54. #19099210C22semidirect
59. #19099201C22semidirect
62. #19099197C22semidirect
63. #19099197C22semidirect
70. #19099109C22semidirect
71. #19099108C22semidirect
72. #19099099C22semidirect
73. #19099076C22semidirect
74. #19099075C22semidirect
77. C2×#14579135C22semidirect
78. #121×D79C22semidirect
80. #19099031C22semidirect
83. #19098956C22semidirect
84. #19098951C22semidirect
85. #19098949C22semidirect
86. #19098949C22semidirect
87. #19098930C22semidirect
88. #19098926C22semidirect
89. #19098924C22semidirect
90. #19098921C22semidirect
91. #19098907C22semidirect
92. #19098896C22semidirect
93. #19098895C22semidirect
94. #19098890C22semidirect
95. #19098887C22semidirect
96. #19098887C22semidirect
97. #19098879C22semidirect
98. #19098878C22semidirect
99. #19098873C22semidirect
100. #19098866C22semidirect
101. #19098847C22semidirect
102. #19098842C22semidirect
103. #19098820C22semidirect
104. #19098817C22semidirect
105. #19098817C22semidirect
106. #19098815C22semidirect
107. #19098812C22semidirect
108. #19098810C22semidirect
109. #19098810C22semidirect
110. #19098808C22semidirect
111. #19098797C22semidirect
112. #19098797C22semidirect
113. #19098794C22semidirect
114. #19098794C22semidirect
115. #19098788C22semidirect
116. #19098787C22semidirect
117. #19098783C22semidirect
118. #19098781C22semidirect
119. #19098781C22semidirect
120. #19098777C22semidirect
121. #19098767C22semidirect
122. #19098766C22semidirect
123. #19098762C22semidirect
124. #19098757C22semidirect
125. #19098757C22semidirect
126. #19098756C22semidirect
127. #19098728C22semidirect
128. #19098724C22semidirect
129. #19098723C22semidirect
130. #19098723C22semidirect
131. #19098722C22semidirect
132. #19098718C22semidirect
133. #19098715C22semidirect
134. #19098713C22semidirect
135. #19098713C22semidirect
136. #19098711C22semidirect
137. #19098711C22semidirect
139. #19098710C22semidirect
140. #19098710C22semidirect
141. #19098710C22semidirect
142. #19098710C22semidirect
143. #19098710C22semidirect
144. #19098710C22semidirect
145. #19098710C22semidirect
146. #19098709C22semidirect
147. #19098708C22semidirect
148. #19098708C22semidirect
149. #19098706C22semidirect
150. #19098706C22semidirect
151. #19098703C22semidirect
152. #19098701C22semidirect
153. #19098700C22semidirect
154. #19098698C22semidirect
155. #19098698C22semidirect
156. #19098696C22semidirect
157. #19098696C22semidirect
158. #19098695C22semidirect
159. #19098674C22semidirect
160. #19098674C22semidirect
161. #19098672C22semidirect
162. #19098667C22semidirect
163. #19098666C22semidirect
164. #19098662C22semidirect
165. #19098662C22semidirect
166. #19098660C22semidirect
167. #19098634C22semidirect
168. #19098634C22semidirect
169. #19098634C22semidirect
170. #19098634C22semidirect
171. #19098631C22semidirect
172. #19098631C22semidirect
173. #19098631C22semidirect
174. #19098631C22semidirect
175. #19098617C22semidirect
176. #19098617C22semidirect
177. #19098570C22semidirect
178. #19098566C22semidirect
179. #19098563C22semidirect
180. #19098561C22semidirect
181. #19098557C22semidirect
182. #19098557C22semidirect
183. C2×#14579086C22semidirect
184. C2×#14579083C22semidirect
185. #19098525C22semidirect
186. #19098525C22semidirect
187. C2×C22⋊(C79⋊C8)C22semidirect
188. #525×C79C22semidirect
189. #525×C79C22semidirect
190. #485×C79C22semidirect
191. #485×C79C22semidirect
192. #482×C79C22semidirect
193. #482×C79C22semidirect
194. #467×C79C22semidirect
195. #466×C79C22semidirect
196. #465×C79C22semidirect
197. #465×C79C22semidirect
198. #452×C79C22semidirect
199. #452×C79C22semidirect
200. #449×C79C22semidirect
201. #449×C79C22semidirect
202. C2×C22⋊C8×C79C22semidirect
989. #3191D79semidirect
998. C79#61579semidirect
1044. #525C2×D79semidirect
1045. #525C2×D79semidirect
1061. #485C2×D79semidirect
1062. #485C2×D79semidirect
1068. #482C2×D79semidirect
1069. #482C2×D79semidirect
1084. #467C2×D79semidirect
1087. #466C2×D79semidirect
1090. #465C2×D79semidirect
1091. #465C2×D79semidirect
1109. #452C2×D79semidirect
1110. #452C2×D79semidirect
1130. #449C2×D79semidirect
1131. #449C2×D79semidirect
1169. C2×C22⋊C8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774202
#237768832
#237755842
#237755772
#237755542
#237755472
#237755172
#237754872
#237754042
#237753742
#237749892
#237749442
#237749332
#237749292
#237749072
#237748922
#237748772
#237744412
#237743922
#237742442
#237742182
#237741612
#237735462
#237735122
#237726492
#237726432
#237726162
C2×#190987102
#237724262
C79×#31912
#6157979