Finite Group Databasebeta

← #35173075

Subgroups — #35173075

Order 20224.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777443C211yesmaximal, characteristic, complemented
2#23776883C211yesmaximal, characteristic, complemented
3#23775334C211yesmaximal, characteristic, complemented
4#23775312C211yesmaximal, characteristic, complemented
5#23775285C211yesmaximal, characteristic, complemented
6#23775282C211yesmaximal, characteristic, complemented
7#23775263C211yesmaximal, characteristic, complemented
8#23775233C211yesmaximal, characteristic, complemented
9#23775230C211yesmaximal, characteristic, complemented
10#23775211C211yesmaximal, characteristic, complemented
11#23775145C211yesmaximal, characteristic, complemented
12#23775144C211yesmaximal, characteristic, complemented
13#23775134C211yesmaximal, characteristic, complemented
14#23775127C211yesmaximal, characteristic, complemented
15#23775119C211yesmaximal, characteristic, complemented
16#23775114C211yesmaximal, characteristic, complemented
17#23775100C211yesmaximal, characteristic, complemented
18#23775089C211yesmaximal, characteristic, complemented
19#23774379C211yesmaximal, characteristic, complemented
20#23774354C211yesmaximal, characteristic, complemented
21#23774195C211yesmaximal, characteristic, complemented
22#23774188C211yesmaximal, characteristic, complemented
23#23774185C211yesmaximal, characteristic, complemented
24#23773466C211yesmaximal, characteristic, complemented
25#23773421C211yesmaximal, characteristic, complemented
26#23772622C211yesmaximal, characteristic, complemented
27#23772621C211yesmaximal, characteristic, complemented
28C2×#19098723C211yesmaximal, characteristic, complemented
29#452×D79C211yesmaximal, characteristic, complemented
30#23772422C211yesmaximal, characteristic, complemented
31C79×#3190C211yesmaximal, characteristic, complemented
32C22×#11929624C2211yescharacteristic
33C2×#41×D79C2211yescharacteristic
34C2×#14579184C2211yescharacteristic, complemented
35C2×#14579183C2211yescharacteristic, complemented
36C2×#14579183C2211yescharacteristic, complemented
37C2×#14579182C2211yescharacteristic, complemented
38C22×#11929614C2211yescharacteristic, complemented
39C2×Q16×D79C2211yescharacteristic, complemented
40C22×#11929611C2211yescharacteristic, complemented
41C2×SD16×D79C2211yescharacteristic, complemented
42#19099284C2211yescharacteristic, complemented
43#19099267—21no—
44#19099248C2211yescharacteristic, complemented
45#19099247C2211yescharacteristic, complemented
46#19099240—21no—
47#19099239—21no—
48#19099231C2211yescharacteristic
49Q8×C22⋊D79C2211yescharacteristic
50#19099226C2211yescharacteristic
51#19099224C2211yescharacteristic, complemented
52#19099223C2211yescharacteristic
53#19099223C2211yescharacteristic, complemented
54#19099219C2211yescharacteristic
55#19099215C2211yescharacteristic
56#19099215C2211yescharacteristic, complemented
57#19099214C2211yescharacteristic
58#19099211—21no—
59#19099210C2211yescharacteristic
60#19099205—21no—
61#19099204C2211yescharacteristic
62#19099203—21no—
63#19099200—21no—
64#19099197C2211yescharacteristic
65#19099195—21no—
66#19099183—21no—
67#19099160—21no—
68#19099159—21no—
69#19099115C2211yescharacteristic, complemented
70#19099110—21no—
71#19099109C2211yescharacteristic
72#19099099C2211yescharacteristic, complemented
73#19099076C2211yescharacteristic, complemented
74#19099075C2211yescharacteristic
75#19099074C2211yescharacteristic, complemented
76#19099072—21no—
77#19099072—21no—
78C22⋊Q8×D79C2211yescharacteristic, complemented
79#19099044—21no—
80#19099031C2211yescharacteristic
81C2×C4×C22⋊D79C2211yescharacteristic
82C4×D4×D79—21no—
83#19098948C2211yescharacteristic, complemented
84#19098944C2211yescharacteristic, complemented
85#19098941C2211yescharacteristic, complemented
86#19098934C2211yescharacteristic, complemented
87#19098919C2211yescharacteristic, complemented
88#19098916C2211yescharacteristic, complemented
89#19098912C2211yescharacteristic, complemented
90#19098908C2211yescharacteristic, complemented
91#19098906C2211yescharacteristic, complemented
92#19098904C2211yescharacteristic, complemented
93#19098901C2211yescharacteristic, complemented
94#19098895C2211yescharacteristic, complemented
95#19098889C2211yescharacteristic, complemented
96#19098887C2211yescharacteristic, complemented
97#19098884C2211yescharacteristic, complemented
98#19098878C2211yescharacteristic, complemented
99#19098869C2211yescharacteristic, complemented
100#19098862C2211yescharacteristic, complemented
101#19098847C2211yescharacteristic, complemented
102#19098842C2211yescharacteristic, complemented
103#19098805C2211yescharacteristic, complemented
104#19098803C2211yescharacteristic, complemented
105#19098803C2211yescharacteristic, complemented
106#19098802C2211yescharacteristic, complemented
107#19098800C2211yescharacteristic, complemented
108#19098797C2211yescharacteristic, complemented
109#19098795C2211yescharacteristic, complemented
110#19098795C2211yescharacteristic, complemented
111#19098794C2211yescharacteristic, complemented
112#19098793C2211yescharacteristic, complemented
113#19098793C2211yescharacteristic, complemented
114#19098790C2211yescharacteristic, complemented
115#19098788C2211yescharacteristic, complemented
116#19098788C2211yescharacteristic, complemented
117#19098787C2211yescharacteristic, complemented
118#19098784C2211yescharacteristic, complemented
119#19098783C2211yescharacteristic, complemented
120#19098781C2211yescharacteristic, complemented
121#19098772C2211yescharacteristic, complemented
122#19098771C2211yescharacteristic, complemented
123#19098767C2211yescharacteristic, complemented
124#19098767C2211yescharacteristic, complemented
125#19098761C2211yescharacteristic, complemented
126#19098757C2211yescharacteristic, complemented
127#19098728C2211yescharacteristic, complemented
128#19098728C2211yescharacteristic, complemented
129#19098727C2211yescharacteristic
130#19098727C2211yescharacteristic, complemented
131#19098726C2211yescharacteristic, complemented
132#19098725C2211yescharacteristic, complemented
133#19098724C2211yescharacteristic, complemented
134#19098723C2211yescharacteristic
135#19098723C2211yescharacteristic
136#19098723C2211yescharacteristic, complemented
137#19098723C2211yescharacteristic, complemented
138#19098723C2211yescharacteristic, complemented
139#19098723C2211yescharacteristic, complemented
140#19098723C2211yescharacteristic, complemented
141#19098723C2211yescharacteristic, complemented
142#19098723C2211yescharacteristic, complemented
143#19098722C2211yescharacteristic, complemented
144#19098721C2211yescharacteristic, complemented
145#19098720C2211yescharacteristic, complemented
146#19098717C2211yescharacteristic, complemented
147#19098716C2211yescharacteristic, complemented
148#19098712C2211yescharacteristic, complemented
149#19098711C2211yescharacteristic, complemented
150#19098710C2211yescharacteristic
151#19098710C2211yescharacteristic, complemented
152#19098708C2211yescharacteristic, complemented
153#19098706C2211yescharacteristic, complemented
154#19098704C2211yescharacteristic, complemented
155#19098703C2211yescharacteristic, complemented
156#19098703C2211yescharacteristic, complemented
157#19098699C2211yescharacteristic, complemented
158#19098698C2211yescharacteristic, complemented
159#19098657C2211yescharacteristic, complemented
160#19098655C2211yescharacteristic, complemented
161#19098655C2211yescharacteristic, complemented
162#19098650C2211yescharacteristic, complemented
163#19098650C2211yescharacteristic, complemented
164#19098648C2211yescharacteristic, complemented
165#19098648C2211yescharacteristic, complemented
166#19098645C2211yescharacteristic, complemented
167C8×C22⋊D79C2211yescharacteristic, complemented
168C8×C22⋊D79C2211yescharacteristic, complemented
169C8×C22⋊D79C2211yescharacteristic, complemented
170C8×C22⋊D79C2211yescharacteristic, complemented
171(C22⋊D79)⋊C8C2211yescharacteristic
172(C22⋊D79)⋊C8C2211yescharacteristic
173(C22⋊D79)⋊C8C2211yescharacteristic, complemented
174(C22⋊D79)⋊C8C2211yescharacteristic, complemented
175#19098613C2211yescharacteristic, complemented
176#19098613C2211yescharacteristic, complemented
177#19098560C2211yescharacteristic, complemented
178#19098560C2211yescharacteristic, complemented
179#19098558C2211yescharacteristic, complemented
180#19098556C2211yescharacteristic, complemented
181C2×#14579084C2211yescharacteristic, complemented
182#103×D79C2211yescharacteristic, complemented
183C2×#14579081C2211yescharacteristic, complemented
184#102×D79C2211yescharacteristic, complemented
185C2×C22⋊(C79⋊C8)C2211yescharacteristic, complemented
186C22⋊C8×D79C2211yescharacteristic, complemented
187C22⋊C8×D79C2211yescharacteristic, complemented
188#525×C79C2211yescharacteristic
189C2×C22⋊Q8×C79C2211yescharacteristic, complemented
190#485×C79C2211yescharacteristic, complemented
191#485×C79C2211yescharacteristic, complemented
192#483×C79C2211yescharacteristic, complemented
193#480×C79C2211yescharacteristic, complemented
194#467×C79C2211yescharacteristic, complemented
195#467×C79C2211yescharacteristic, complemented
196#465×C79C2211yescharacteristic, complemented
197#465×C79C2211yescharacteristic, complemented
198#452×C79C2211yescharacteristic, complemented
199#452×C79C2211yescharacteristic, complemented
200#451×C79C2211yescharacteristic, complemented
201#448×C79C2211yescharacteristic, complemented
202C2×C22⋊C8×C79C2211yescharacteristic, complemented
203C2×#11929625C2311yescharacteristic
204C2×#11929625C2311yescharacteristic
205C2×#11929624—21no—
206C2×#11929624—21no—
207C2×#11929624—21no—
208C2×#11929624—21no—
209C2×#11929624—42no—
210C2×#11929624—42no—
211C2×#11929624C2311yescharacteristic
212C2×#11929624C2311yescharacteristic
213C2×#11929624C2311yescharacteristic
214C2×#11929624C2311yescharacteristic
215C2×#11929624C2311yescharacteristic
216C2×#11929623—21no—
217C2×#11929623C2311yescharacteristic
218#41×D79—42no—
219#41×D79—42no—
220C22×Dic158C2311yescharacteristic
221C2×Q8×D79C2311yescharacteristic
222C2×Q8×D79C2311yescharacteristic
223C22×D316C2311yescharacteristic
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#14579184—42no—
233#14579183—42no—
234#14579183—42no—
235#14579182—42no—
236C2×Dic316C2311yescharacteristic
237C2×Dic316C2311yescharacteristic
238C2×#11929614—42no—
239C2×#11929614C2311yescharacteristic
240C2×#11929614C2311yescharacteristic
241C2×#11929614C2311yescharacteristic
242C2×#11929614C2311yescharacteristic
243C2×#11929614C2311yescharacteristic
244Q16×D79—42no—
245C2×#11929613C2311yescharacteristic
246C2×#11929613C2311yescharacteristic
247C2×#11929613C2311yescharacteristic
248C2×#11929613C2311yescharacteristic
249C2×#11929612C2311yescharacteristic
250C2×#11929611—42no—
251C2×#11929611C2311yescharacteristic
252C2×#11929611C2311yescharacteristic
253C2×#11929611C2311yescharacteristic
254C2×#11929611C2311yescharacteristic
255C2×#11929611C2311yescharacteristic
256SD16×D79—42no—
257C2×D632C2311yescharacteristic
258C2×D632C2311yescharacteristic
259C2×#11929609C2311yescharacteristic
260C22×C79⋊C8C2311yescharacteristic
261C22×C79⋊C8C2311yescharacteristic
262C2×C8×D79C2311yescharacteristic
263C2×C8×D79C2311yescharacteristic
264C2×C8×D79C2311yescharacteristic
265C2×C8×D79C2311yescharacteristic
266#14579160—21no—
267#14579160C2311yescharacteristic
268#14579159—21no—
269#14579159C2311yescharacteristic
270#14579159C2311yescharacteristic
271#14579157—21no—
272#14579157C2311yescharacteristic
273#14579156—21no—
274#14579156—21no—
275#14579156—21no—
276#14579154—21no—
277#14579154—21no—
278#14579152C2311yescharacteristic
279#14579151—21no—
280#14579151—21no—
281#14579151—21no—
282#14579150—21no—
283#14579150C2311yescharacteristic
284#14579150C2311yescharacteristic
285#14579148C2311yescharacteristic
286#14579147—21no—
287#14579147—21no—
288#14579147—21no—
289#14579147—21no—
290#14579146—21no—
291#14579146—21no—
292#14579146—21no—
293#14579146—21no—
294#14579146—21no—
295#14579145—21no—
296#14579145—21no—
297#14579144—21no—
298#14579144—21no—
299#14579144—21no—
300#14579143—21no—
301#14579143—21no—
302#14579143—21no—
303#14579143—21no—
304#14579141C2311yescharacteristic
305#14579141C2311yescharacteristic
306#14579141C2311yescharacteristic
307#14579140—21no—
308#14579140C2311yescharacteristic
309#14579140C2311yescharacteristic
310#14579139—21no—
311#14579139—21no—
312#14579139—21no—
313#14579139—21no—
314#14579139—21no—
315#14579138—21no—
316#14579138—21no—
317#14579138—21no—
318#14579138—21no—
319#14579137—21no—
320#14579137—21no—
321#14579137C2311yescharacteristic
322#14579137C2311yescharacteristic
323#14579136—21no—
324#14579136C2311yescharacteristic
325#14579136C2311yescharacteristic
326#14579136C2311yescharacteristic
327#14579135—21no—
328#14579135C2311yescharacteristic
329#14579135C2311yescharacteristic
330#14579134—21no—
331#14579134—21no—
332#14579134—21no—
333#14579134—21no—
334#14579134—21no—
335#14579134—21no—
336#14579133—21no—
337#14579133—21no—
338#14579133—21no—
339#14579133—21no—
340#14579132—21no—
341#14579131—21no—
342#14579131—21no—
343#14579131—21no—
344#14579131—21no—
345#14579130—21no—
346#14579129—21no—
347#14579129—21no—
348Q8×Dic79C2311yescharacteristic
349Q8×Dic79C2311yescharacteristic
350#14579126—21no—
351#14579126—21no—
352#14579126C2311yescharacteristic
353#14579126C2311yescharacteristic
354#14579126C2311yescharacteristic
355C4×D316—21no—
356C4×D316—21no—
357D4×Dic79—21no—
358#14579123—21no—
359#14579123—21no—
360#14579123—21no—
361#14579123C2311yescharacteristic
362#14579123C2311yescharacteristic
363#14579123C2311yescharacteristic
364C4×C22⋊D79—21no—
365C4×C22⋊D79—21no—
366C4×C22⋊D79—21no—
367C4×C22⋊D79—21no—
368C4×C22⋊D79—21no—
369C4×C22⋊D79—21no—
370C4×C22⋊D79D411yescharacteristic
371C4×C22⋊D79D411yescharacteristic
372C4×C22⋊D79D411yescharacteristic
373C4×C22⋊D79D411yescharacteristic
374C4×C22⋊D79C2311yescharacteristic
375C4×C22⋊D79C2311yescharacteristic
376C4×C22⋊D79C2311yescharacteristic
377C4×C22⋊D79C2311yescharacteristic
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#14579120—21no—
385#14579120C2311yescharacteristic
386#14579119—21no—
387#14579119—21no—
388#14579119C2311yescharacteristic
389#14579118—21no—
390#14579117—21no—
391C2×Dic79⋊C4D411yescharacteristic
392C4⋊C4×D79—21no—
393C4⋊C4×D79—21no—
394C4⋊C4×D79—21no—
395C4⋊C4×D79C2311yescharacteristic
396C2×C22⋊Dic79D411yescharacteristic
397C2×(C2×D79)⋊C4D411yescharacteristic
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#14579084C2311yescharacteristic
422#14579084C2311yescharacteristic
423#14579083C2311yescharacteristic
424#14579083C2311yescharacteristic
425#14579083C2311yescharacteristic
426#14579083C2311yescharacteristic
427#14579082C2311yescharacteristic
428#14579082C2311yescharacteristic
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
443C8×Dic79C2311yescharacteristic
444C8×Dic79C2311yescharacteristic
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
454C22×C8×C79C2311yescharacteristic
455C22×C8×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×D79C2×D411yescharacteristic
493#11929625—22no—
494#11929625—41no—
495#11929625—41no—
496#11929625—41no—
497#11929624—22no—
498#11929624—22no—
499#11929624—22no—
500#11929624—22no—
501#11929624—44no—
502#11929624—41no—
503#11929624—41no—
504#11929624—41no—
505#11929624—41no—
506#11929624—44no—
507#11929624—44no—
508#11929624—44no—
509#11929624—41no—
510#11929624—41no—
511#11929623—22no—
512#11929623—44no—
513#11929623—41no—
514C2×Dic158—22no—
515C2×Dic158—21no—
516C2×Dic158—21no—
517C2×Dic158—21no—
518C2×Dic158—21no—
519C2×Dic158—41no—
520C2×Dic158C2411yescharacteristic
521C2×Dic158C2411yescharacteristic
522C2×Dic158C2411yescharacteristic
523Q8×D79—22no—
524Q8×D79—41no—
525Q8×D79—41no—
526Q8×D79—41no—
527C2×D316—21no—
528C2×D316—21no—
529C2×D316—21no—
530C2×D316—21no—
531C2×D316—21no—
532C2×D316—22no—
533C2×D316—21no—
534C2×D316—41no—
535C2×D316C2411yescharacteristic
536C2×D316C2411yescharacteristic
537C2×D316C2411yescharacteristic
538C2×C22⋊D79—21no—
539C2×C22⋊D79—24no—
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—44no—
551C2×C22⋊D79C2×D411yescharacteristic
552C2×C22⋊D79C2×D411yescharacteristic
553C2×C22⋊D79C2×D411yescharacteristic
554C2×C22⋊D79C2×D411yescharacteristic
555D4×D79—22no—
556D4×D79—44no—
557D4×D79—41no—
558D4×D79—44no—
559C22×Dic79—21no—
560C22×Dic79—21no—
561C22×Dic79C2×D411yescharacteristic
562C22×Dic79C2×D411yescharacteristic
563C22×Dic79C2×D411yescharacteristic
564C2×C4×D79—21no—
565C2×C4×D79—21no—
566C2×C4×D79—21no—
567C2×C4×D79—21no—
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—41no—
578C2×C4×D79—41no—
579C2×C4×D79—44no—
580C2×C4×D79—44no—
581C2×C4×D79C2×D411yescharacteristic
582C2×C4×D79C2×D411yescharacteristic
583C2×C4×D79C2411yescharacteristic
584C2×C4×D79C2411yescharacteristic
585Dic316—22no—
586Dic316—41no—
587#11929614—22no—
588#11929614—22no—
589#11929614—41no—
590#11929614—41no—
591#11929614—41no—
592#11929613—22no—
593#11929613—22no—
594#11929613—41no—
595#11929613—41no—
596#11929612—41no—
597#11929611—22no—
598#11929611—22no—
599#11929611—41no—
600#11929611—41no—
601#11929611—41no—
602D632—22no—
603D632—41no—
604#11929609—41no—
605C2×C79⋊C8—41no—
606C2×C79⋊C8—41no—
607C2×C79⋊C8C2411yescharacteristic
608C2×C79⋊C8C2411yescharacteristic
609C2×C79⋊C8C2411yescharacteristic
610C2×C79⋊C8C2411yescharacteristic
611C8×D79—41no—
612C8×D79—41no—
613C8×D79—41no—
614C8×D79—41no—
615C4⋊Dic79—21no—
616C4⋊Dic79—21no—
617C4⋊Dic79—21no—
618C4⋊Dic79—21no—
619C4⋊Dic79—21no—
620C4⋊Dic79—21no—
621C4⋊Dic79C2411yescharacteristic
622C4⋊Dic79C2411yescharacteristic
623Dic79⋊C4—21no—
624Dic79⋊C4—21no—
625Dic79⋊C4—21no—
626Dic79⋊C4—21no—
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⋊C4—21no—
636Dic79⋊C4—21no—
637Dic79⋊C4C2×D411yescharacteristic
638Dic79⋊C4C2×D411yescharacteristic
639Dic79⋊C4C2×D411yescharacteristic
640Dic79⋊C4C2×D411yescharacteristic
641C22⋊Dic79—21no—
642C22⋊Dic79—21no—
643C22⋊Dic79—21no—
644C22⋊Dic79—21no—
645C22⋊Dic79—21no—
646C22⋊Dic79C2×D411yescharacteristic
647C22⋊Dic79C2×D411yescharacteristic
648C22⋊Dic79C2×D411yescharacteristic
649C22⋊Dic79C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
669(C2×D79)⋊C4C2×D411yescharacteristic
670(C2×D79)⋊C4C2×D411yescharacteristic
671(C2×D79)⋊C4C2×D411yescharacteristic
672C4×Dic79—21no—
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—
711C2×C8×C79—41no—
712C2×C8×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—22no—
747C22×D79—21no—
748C22×D79—21no—
749C22×D79—41no—
750C22×D79—41no—
751C22×D79—42no—
752C22×D79—42no—
753C22×D79—42no—
754C22×D79—42no—
755C22×D79—81no—
756C22×D79—81no—
757C22×D79C22×D411yescharacteristic
758C22×D79C22×D411yescharacteristic
759Q8×C79—21no—
760Q8×C79—21no—
761Q8×C79—21no—
762Q8×C79—21no—
763Q8×C79—21no—
764Q8×C79—21no—
765Q8×C79—81no—
766D4×C79—21no—
767D4×C79—21no—
768D4×C79—42no—
769D4×C79—42no—
770D4×C79—81no—
771C2×C4×C79—21no—
772C2×C4×C79—21no—
773C2×C4×C79—21no—
774C2×C4×C79—21no—
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—41no—
785C2×C4×C79—41no—
786C2×C4×C79—41no—
787C2×C4×C79—42no—
788C2×C4×C79—42no—
789C2×C4×C79—81no—
790C2×C4×C79C22×D411yescharacteristic
791C2×C4×C79C22×D411yescharacteristic
792C2×C4×C79C22×D411yescharacteristic
793C2×C4×C79C2511yescharacteristic
794C22⋊D79—24no—
795C22⋊D79—22no—
796C22⋊D79—22no—
797C22⋊D79—22no—
798C22⋊D79—42no—
799C22⋊D79—42no—
800C22⋊D79—42no—
801C22⋊D79—42no—
802C22⋊D79—42no—
803C22⋊D79—42no—
804C22⋊D79—42no—
805C22⋊D79—42no—
806C22⋊D79—81no—
807C22⋊D79—81no—
808C22⋊D79#13514yescomplemented
809C2×Dic79—21no—
810C2×Dic79—22no—
811C2×Dic79—21no—
812C2×Dic79—21no—
813C2×Dic79—21no—
814C2×Dic79—21no—
815C2×Dic79—41no—
816C2×Dic79—41no—
817C2×Dic79—42no—
818C2×Dic79—42no—
819C2×Dic79C22×D411yescharacteristic
820C2×Dic79C22×D411yescharacteristic
821C2×Dic79C22×D411yescharacteristic
822C2×Dic79C22×D411yescharacteristic
823C2×Dic79C22×D411yescharacteristic
824C2×Dic79C22×D411yescharacteristic
825D316—21no—
826D316—21no—
827D316—21no—
828D316—21no—
829D316—21no—
830D316—42no—
831D316—42no—
832D316—42no—
833D316—42no—
834D316—81no—
835D316—81no—
836D316H(5,𝔽2)12yes—
837C4×D79—24no—
838C4×D79—21no—
839C4×D79—21no—
840C4×D79—21no—
841C4×D79—21no—
842C4×D79—41no—
843C4×D79—41no—
844C4×D79—42no—
845C4×D79—42no—
846C4×D79—42no—
847C4×D79—42no—
848C4×D79—42no—
849C4×D79—42no—
850C4×D79—42no—
851C4×D79—42no—
852C4×D79—81no—
853C4×D79—81no—
854C4×D79—81no—
855C4×D79—81no—
856Dic158—21no—
857Dic158—21no—
858Dic158—21no—
859Dic158—21no—
860Dic158—21no—
861Dic158—42no—
862Dic158—42no—
863Dic158—42no—
864Dic158—81no—
865Dic158H(5,𝔽2)12yes—
866C8×C79—21no—
867C8×C79—21no—
868C8×C79—21no—
869C8×C79—21no—
870C79⋊C8—21no—
871C79⋊C8—21no—
872C79⋊C8—21no—
873C79⋊C8—21no—
874C22×C79—21no—
875C22×C79—21no—
876C22×C79—21no—
877C22×C79—21no—
878C22×C79—21no—
879C22×C79—21no—
880C22×C79—21no—
881C22×C79—21no—
882C22×C79—41no—
883C22×C79—41no—
884C22×C79—41no—
885C22×C79—82no—
886C22×C79C2×#13512yes—
887C22×C79C23×D411yescharacteristic
888C2×D79—21no—
889C2×D79—21no—
890C2×D79—21no—
891C2×D79—22no—
892C2×D79—21no—
893C2×D79—21no—
894C2×D79—41no—
895C2×D79—41no—
896C2×D79—41no—
897C2×D79—41no—
898C2×D79—41no—
899C2×D79—41no—
900C2×D79—41no—
901C2×D79—41no—
902C2×D79—82no—
903C2×D79—84no—
904C2×D79—84no—
905C2×D79C2×#13512yes—
906C4×C79—21no—
907C4×C79—21no—
908C4×C79—21no—
909C4×C79—41no—
910C4×C79—41no—
911C4×C79—41no—
912C4×C79—41no—
913C4×C79—41no—
914C4×C79—41no—
915C4×C79—41no—
916C4×C79C2×H(5,𝔽2)11yescharacteristic
917C4×C79C2×H(5,𝔽2)11yescharacteristic
918Dic79—21no—
919Dic79—21no—
920Dic79—22no—
921Dic79—21no—
922Dic79—21no—
923Dic79—21no—
924Dic79—41no—
925Dic79—41no—
926Dic79—41no—
927Dic79—41no—
928Dic79C2×#13512yes—
929#61568—791nomaximal, Sylow
930C2×C79—22no—
931C2×C79—41no—
932C2×C79—41no—
933C2×C79—81no—
934C2×C79#348411yescharacteristic
935C2×C79C22×#13511yescharacteristic
936C2×C79#358611yescharacteristic
937D79—22no—
938D79—41no—
939D79—42no—
940D79—81no—
941D79—81no—
942#3520—791no—
943D4×#41—791no—
944#3304—791no—
945#3302—791no—
946#3300—791no—
947#3300—791no—
948#3298—791no—
949#3296—791no—
950#3296—791no—
951#3294—791no—
952D4×Q16—791no—
953#3285—791no—
954#3285—791no—
955#3284—791no—
956#3283—791no—
957#3282—791no—
958#3282—791no—
959D4×SD16—791no—
960#3212—791no—
961#3210—791no—
962#3191—791no—
963#3191—791no—
964#3190—791no—
965#3190D7911yescharacteristic, complemented
966#3107—791no—
967#3102—791no—
968#3002—791no—
969#3002—791no—
970C2×#452—791no—
971C2×#452—791no—
972#2972—791no—
973C79#6156811yescharacteristic, complemented, Sylow
974C22×#41—791no—
975C22×#41—791no—
976C2×#135—791no—
977C2×#135—791no—
978C2×#135—791no—
979C2×#135—791no—
980C22×Q16—791no—
981C22×Q16—791no—
982C22×SD16—791no—
983C22×SD16—791no—
984#556—791no—
985#554—1581no—
986#552—791no—
987#552—791no—
988#551—1581no—
989#551—1581no—
990#550—791no—
991D4×Q8—791no—
992D4×Q8—791no—
993#548—791no—
994#548—791no—
995#548—791no—
996#548—791no—
997#547—791no—
998#547—791no—
999#547—791no—
1000#547—1581no—
1001#546—791no—
1002#546—791no—
1003#546—1581no—
1004#546—1581no—
1005#546—1581no—
1006D42—791no—
1007D42—1581no—
1008#542—1581no—
1009#539—1581no—
1010#539—1581no—
1011#533—791no—
1012#532—791no—
1013#532—1581no—
1014#529—791no—
1015#525—791no—
1016#525—791no—
1017#525—791no—
1018#525—1581no—
1019#525—1581no—
1020#525C2×D7911yescharacteristic
1021C2×C22⋊Q8—791no—
1022C2×C22⋊Q8C2×D7911yescharacteristic, complemented
1023#520—1581no—
1024C4×#41—791no—
1025C2×C4×D4—791no—
1026C2×C4×D4—1581no—
1027#495—791no—
1028#495—791no—
1029#494—791no—
1030#492—791no—
1031#488—791no—
1032#488—791no—
1033#487—791no—
1034#486—791no—
1035#485—791no—
1036#485—791no—
1037#485—791no—
1038#485C2×D7911yescharacteristic, complemented
1039#485C2×D7911yescharacteristic, complemented
1040#483—791no—
1041#483C2×D7911yescharacteristic, complemented
1042#482—791no—
1043#482—791no—
1044#482—791no—
1045#480—791no—
1046#480C2×D7911yescharacteristic, complemented
1047#479—791no—
1048#478—791no—
1049#475—791no—
1050#474—791no—
1051#467—791no—
1052#467—791no—
1053#467—791no—
1054#467—791no—
1055#467C2×D7911yescharacteristic, complemented
1056#467C2×D7911yescharacteristic, complemented
1057#466—791no—
1058#466—791no—
1059#465—791no—
1060#465—791no—
1061#465—791no—
1062#465—791no—
1063#465—791no—
1064#465—791no—
1065#465C2×D7911yescharacteristic, complemented
1066#465C2×D7911yescharacteristic, complemented
1067#464—791no—
1068#464—791no—
1069#464—791no—
1070#464—791no—
1071#464—791no—
1072#463—791no—
1073#462—791no—
1074#462—791no—
1075#461—791no—
1076#461—791no—
1077#460—791no—
1078#459—791no—
1079#452—791no—
1080#452—791no—
1081#452—791no—
1082#452—791no—
1083#452—791no—
1084#452—791no—
1085#452—791no—
1086#452—791no—
1087#452—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#452C2×D7911yescharacteristic, complemented
1097#452C2×D7911yescharacteristic, complemented
1098#451—791no—
1099#451—791no—
1100#451—791no—
1101#451C2×D7911yescharacteristic, complemented
1102#450—791no—
1103#450—791no—
1104#449—791no—
1105#449—791no—
1106#449—791no—
1107#449—791no—
1108#449—791no—
1109#448—791no—
1110#448—791no—
1111#448—791no—
1112#448C2×D7911yescharacteristic, complemented
1113#447—791no—
1114#447—791no—
1115C4×Q16—791no—
1116C4×Q16—791no—
1117C4×Q16—791no—
1118C4×SD16—791no—
1119C4×SD16—791no—
1120C4×SD16—791no—
1121C4×SD16—791no—
1122C4×D8—791no—
1123C8×D4—791no—
1124C8×D4—791no—
1125C8×D4—791no—
1126C8×D4—791no—
1127C8×D4—791no—
1128C8×D4—791no—
1129C8×D4—791no—
1130C8×D4—791no—
1131#431—791no—
1132#431—791no—
1133#416—791no—
1134#416—791no—
1135#416—791no—
1136#416—791no—
1137C2×#103—791no—
1138C2×#103—791no—
1139C2×#102—791no—
1140C2×#102—791no—
1141C2×C22⋊C8—791no—
1142C2×C22⋊C8—791no—
1143C2×C22⋊C8—791no—
1144C2×C22⋊C8C2×D7911yescharacteristic, complemented
1145C2×#41—3162no—
1146C2×#41—3162no—
1147C2×#41—3162no—
1148C2×#41—3162no—
1149C2×#41—791no—
1150C2×#41—791no—
1151C2×#41—791no—
1152C2×#41—791no—
1153C2×#41—791no—
1154C2×#41—791no—
1155C2×#41—791no—
1156C2×#41—791no—
1157C2×#41—1581no—
1158C2×#41—1581no—
1159C2×#41—1581no—
1160C2×#41—1581no—
1161C2×#41—1581no—
1162C2×#41C22×D7911yescharacteristic
1163C22×Q8—791no—
1164C22×Q8—791no—
1165C22×Q8—791no—
1166C22×Q8C22×D7911yescharacteristic
1167C22×D4—791no—
1168C22×D4—791no—
1169C22×D4—791no—
1170C22×D4—1581no—
1171C22×D4—1581no—
1172C22×D4—1581no—
1173C23×C4—791no—
1174C23×C4—1581no—
1175C23×C4—1581no—
1176C23×C4C22×D7911yescharacteristic
1177#135—3162no—
1178#135—3162no—
1179#135—3162no—
1180#135—3162no—
1181C2×Q16—3162no—
1182C2×Q16—3162no—
1183C2×Q16—791no—
1184C2×Q16—791no—
1185C2×Q16—791no—
1186C2×Q16—791no—
1187C2×Q16—791no—
1188C2×Q16—791no—
1189C2×Q16—791no—
1190C2×Q16C22×D7911yescharacteristic
1191C2×Q16C22×D7911yescharacteristic
1192C2×SD16—3162no—
1193C2×SD16—3162no—
1194C2×SD16—791no—
1195C2×SD16—791no—
1196C2×SD16—791no—
1197C2×SD16—791no—
1198C2×SD16—791no—
1199C2×SD16—791no—
1200C2×SD16—791no—
1201C2×SD16—791no—
1202C2×SD16—791no—
1203C2×SD16—791no—
1204C2×SD16C22×D7911yescharacteristic
1205C2×SD16C22×D7911yescharacteristic
1206C2×D8—791no—
1207C2×D8—791no—
1208C2×D8—791no—
1209C22×C8—791no—
1210C22×C8—791no—
1211C22×C8—791no—
1212C22×C8—791no—
1213C22×C8—791no—
1214C22×C8—791no—
1215C22×C8C22×D7911yescharacteristic
1216C22×C8C22×D7911yescharacteristic
1217C4⋊Q8—791no—
1218C4⋊Q8—791no—
1219C4⋊Q8—791no—
1220C4⋊Q8—1581no—
1221C4⋊Q8—1581no—
1222#127—791no—
1223#127—1581no—
1224#126—1581no—
1225#126—1581no—
1226#126—1581no—
1227#126—1581no—
1228#126—1581no—
1229#125—791no—
1230#125—1581no—
1231#125—1581no—
1232#125—1581no—
1233#124—791no—
1234#124—791no—
1235#124—791no—
1236#124—1581no—
1237#124—1581no—
1238#124—1581no—
1239#124—1581no—
1240#124—1581no—
1241#123—21no—
1242#123—1581no—
1243#123—1581no—
1244#123—1581no—
1245#123—1581no—
1246#123—1581no—
1247#123—1581no—
1248#123—1581no—
1249#123—1581no—
1250#123—1581no—
1251#123—1581no—
1252#123—1581no—
1253#123—1581no—
1254#123—1581no—
1255#123—1581no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—791no—
1259C22⋊Q8—791no—
1260C22⋊Q8—791no—
1261C22⋊Q8—791no—
1262C22⋊Q8—791no—
1263C22⋊Q8—791no—
1264C22⋊Q8—791no—
1265C22⋊Q8—1581no—
1266C22⋊Q8—1581no—
1267C22⋊Q8—1581no—
1268C22⋊Q8—1581no—
1269C22⋊Q8—1581no—
1270C22⋊Q8—1581no—
1271C22⋊Q8—1581no—
1272C22⋊Q8—1581no—
1273C22⋊Q8—1581no—
1274C22⋊Q8—1581no—
1275C22⋊Q8—1581no—
1276C22⋊Q8—1581no—
1277C22⋊Q8C22×D7911yescharacteristic
1278C22⋊Q8C22×D7911yescharacteristic
1279C22⋊Q8C22×D7911yescharacteristic
1280C22⋊Q8C22×D7911yescharacteristic
1281C22⋊Q8C22×D7911yescharacteristic
1282C22⋊Q8C22×D7911yescharacteristic
1283#121—791no—
1284#121—791no—
1285#121—791no—
1286#121—791no—
1287#121—791no—
1288#121—1581no—
1289#121—1581no—
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#121C22×D7911yescharacteristic
1302#121C22×D7911yescharacteristic
1303#120—21no—
1304#120—1581no—
1305#120—1581no—
1306#120—1581no—
1307#120—1581no—
1308#120—1581no—
1309#120—1581no—
1310#120—1581no—
1311C4×Q8—791no—
1312C4×Q8—791no—
1313C4×Q8—791no—
1314C4×Q8—791no—
1315C4×Q8—791no—
1316C4×Q8—1581no—
1317C4×Q8—1581no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—791no—
1321C4×D4—791no—
1322C4×D4—791no—
1323C4×D4—791no—
1324C4×D4—791no—
1325C4×D4—791no—
1326C4×D4—791no—
1327C4×D4—791no—
1328C4×D4—791no—
1329C4×D4—791no—
1330C4×D4—791no—
1331C4×D4—1581no—
1332C4×D4—1581no—
1333C4×D4—1581no—
1334C4×D4—1581no—
1335C4×D4—1581no—
1336C4×D4—1581no—
1337C4×D4—1581no—
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—
1349#117—791no—
1350#117—791no—
1351#117—1581no—
1352#117—1581no—
1353#117—1581no—
1354#117—1581no—
1355#117—1581no—
1356#117C22×D7911yescharacteristic
1357C2×C4⋊C4—21no—
1358C2×C4⋊C4—791no—
1359C2×C4⋊C4—791no—
1360C2×C4⋊C4—1581no—
1361C2×C4⋊C4—1581no—
1362C2×C4⋊C4—1581no—
1363C2×C4⋊C4C22×D7911yescharacteristic
1364C2×C22⋊C4—21no—
1365C2×C22⋊C4—791no—
1366C2×C22⋊C4—791no—
1367C2×C22⋊C4—1581no—
1368C2×C22⋊C4—1581no—
1369C2×C22⋊C4—1581no—
1370C2×C42—791no—
1371C2×C42—1581no—
1372#107—791no—
1373#107—791no—
1374#107C22×D7911yescharacteristic
1375#107C22×D7911yescharacteristic
1376#106—791no—
1377#106—791no—
1378#106C22×D7911yescharacteristic
1379#106C22×D7911yescharacteristic
1380C4⋊C8—791no—
1381C4⋊C8—791no—
1382C4⋊C8—791no—
1383C4⋊C8—791no—
1384#103—791no—
1385#103—791no—
1386#103—791no—
1387#103—791no—
1388#103—791no—
1389#103—791no—
1390#103—791no—
1391#103—791no—
1392#103—791no—
1393#103—791no—
1394#103—791no—
1395#103—791no—
1396#103C22×D7911yescharacteristic
1397#103C22×D7911yescharacteristic
1398#103C22×D7911yescharacteristic
1399#103C22×D7911yescharacteristic
1400#103C22×D7911yescharacteristic
1401#103C22×D7911yescharacteristic
1402#102—791no—
1403#102—791no—
1404#102—791no—
1405#102—791no—
1406#102—791no—
1407#102—791no—
1408#102—791no—
1409#102—791no—
1410#102—791no—
1411#102—791no—
1412#102—791no—
1413#102—791no—
1414#102C22×D7911yescharacteristic
1415#102C22×D7911yescharacteristic
1416C22⋊C8—791no—
1417C22⋊C8—791no—
1418C22⋊C8—791no—
1419C22⋊C8—791no—
1420C22⋊C8—791no—
1421C22⋊C8—791no—
1422C22⋊C8—791no—
1423C22⋊C8—791no—
1424C22⋊C8C22×D7911yescharacteristic
1425C22⋊C8C22×D7911yescharacteristic
1426C22⋊C8C22×D7911yescharacteristic
1427C22⋊C8C22×D7911yescharacteristic
1428C4×C8—791no—
1429C4×C8—791no—
1430C4×C8—791no—
1431C4×C8—791no—
1432C24—791no—
1433C24—1581no—
1434C24—1581no—
1435C24D4×D7911yescharacteristic
1436#41—41no—
1437#41—41no—
1438#41—3161no—
1439#41—3161no—
1440#41—3161no—
1441#41—3161no—
1442#41—3161no—
1443#41—3161no—
1444#41—3164no—
1445#41—3164no—
1446#41—3164no—
1447#41—3164no—
1448#41—3164no—
1449#41—3161no—
1450#41—3161no—
1451#41—3161no—
1452#41—3161no—
1453#41—1582no—
1454#41—1582no—
1455#41—1582no—
1456#41—1582no—
1457#41—1582no—
1458#41—1582no—
1459C2×Q8—21no—
1460C2×Q8—41no—
1461C2×Q8—41no—
1462C2×Q8—3161no—
1463C2×Q8—3161no—
1464C2×Q8—3161no—
1465C2×Q8—3161no—
1466C2×Q8—791no—
1467C2×Q8—791no—
1468C2×Q8—791no—
1469C2×Q8—1582no—
1470C2×Q8—1581no—
1471C2×Q8—1581no—
1472C2×Q8—1581no—
1473C2×Q8—1582no—
1474C2×Q8—1581no—
1475C2×Q8C23×D7911yescharacteristic
1476C2×Q8C23×D7911yescharacteristic
1477C2×Q8C23×D7911yescharacteristic
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—3161no—
1482C2×D4—3164no—
1483C2×D4—3164no—
1484C2×D4—3164no—
1485C2×D4—3161no—
1486C2×D4—791no—
1487C2×D4—791no—
1488C2×D4—791no—
1489C2×D4—791no—
1490C2×D4—791no—
1491C2×D4—791no—
1492C2×D4—791no—
1493C2×D4—1581no—
1494C2×D4—1581no—
1495C2×D4—1581no—
1496C2×D4—1582no—
1497C2×D4—1581no—
1498C2×D4—1581no—
1499C2×D4—1581no—
1500C2×D4—1581no—
1501C2×D4—1581no—
1502C2×D4—1582no—
1503C2×D4—1581no—
1504C2×D4—1581no—
1505C2×D4—1581no—
1506C2×D4—1581no—
1507C2×D4—1581no—
1508C2×D4—1581no—
1509C2×D4—1584no—
1510C2×D4—1581no—
1511C2×D4—1581no—
1512C2×D4—1581no—
1513C2×D4C23×D7911yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—41no—
1518C22×C4—41no—
1519C22×C4—3161no—
1520C22×C4—3161no—
1521C22×C4—3164no—
1522C22×C4—3164no—
1523C22×C4—791no—
1524C22×C4—791no—
1525C22×C4—791no—
1526C22×C4—791no—
1527C22×C4—791no—
1528C22×C4—791no—
1529C22×C4—791no—
1530C22×C4—1581no—
1531C22×C4—1581no—
1532C22×C4—1581no—
1533C22×C4—1581no—
1534C22×C4—1581no—
1535C22×C4—1581no—
1536C22×C4—1581no—
1537C22×C4—1581no—
1538C22×C4—1581no—
1539C22×C4—1581no—
1540C22×C4—1581no—
1541C22×C4—1581no—
1542C22×C4—1581no—
1543C22×C4—1581no—
1544C22×C4—1581no—
1545C22×C4D4×D7911yescharacteristic
1546C22×C4D4×D7911yescharacteristic
1547C22×C4D4×D7911yescharacteristic
1548C22×C4C23×D7911yescharacteristic
1549C22×C4C23×D7911yescharacteristic
1550C22×C4C23×D7911yescharacteristic
1551Q16—41no—
1552Q16—41no—
1553Q16—3161no—
1554Q16—3161no—
1555Q16—3161no—
1556Q16—3161no—
1557Q16—1582no—
1558Q16—1582no—
1559Q16—1582no—
1560SD16—41no—
1561SD16—41no—
1562SD16—3161no—
1563SD16—3161no—
1564SD16—3161no—
1565SD16—3161no—
1566SD16—3161no—
1567SD16—3161no—
1568SD16—1582no—
1569SD16—1582no—
1570SD16—1582no—
1571SD16—1582no—
1572D8—3161no—
1573D8—3161no—
1574D8—1582no—
1575C2×C8—41no—
1576C2×C8—41no—
1577C2×C8—3161no—
1578C2×C8—3161no—
1579C2×C8—3161no—
1580C2×C8—3161no—
1581C2×C8—3161no—
1582C2×C8—3161no—
1583C2×C8—791no—
1584C2×C8—791no—
1585C2×C8—791no—
1586C2×C8—791no—
1587C2×C8C23×D7911yescharacteristic
1588C2×C8C23×D7911yescharacteristic
1589C2×C8C23×D7911yescharacteristic
1590C2×C8C23×D7911yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—791no—
1599C4⋊C4—791no—
1600C4⋊C4—791no—
1601C4⋊C4—791no—
1602C4⋊C4—791no—
1603C4⋊C4—791no—
1604C4⋊C4—1581no—
1605C4⋊C4—1581no—
1606C4⋊C4—1581no—
1607C4⋊C4—1581no—
1608C4⋊C4—1581no—
1609C4⋊C4—1581no—
1610C4⋊C4—1581no—
1611C4⋊C4—1581no—
1612C4⋊C4—1581no—
1613C4⋊C4—1581no—
1614C4⋊C4—1581no—
1615C4⋊C4—1581no—
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⋊C4C23×D7911yescharacteristic
1625C4⋊C4C23×D7911yescharacteristic
1626C4⋊C4C23×D7911yescharacteristic
1627C4⋊C4C23×D7911yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—791no—
1638C22⋊C4—791no—
1639C22⋊C4—791no—
1640C22⋊C4—791no—
1641C22⋊C4—791no—
1642C22⋊C4—791no—
1643C22⋊C4—791no—
1644C22⋊C4—791no—
1645C22⋊C4—1581no—
1646C22⋊C4—1581no—
1647C22⋊C4—1581no—
1648C22⋊C4—1581no—
1649C22⋊C4—1581no—
1650C22⋊C4—1581no—
1651C22⋊C4—1581no—
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—
1668C42—21no—
1669C42—791no—
1670C42—791no—
1671C42—791no—
1672C42—791no—
1673C42—1581no—
1674C42—1581no—
1675C42—1581no—
1676C42—1581no—
1677C42—1581no—
1678C42—1581no—
1679C42—1581no—
1680C23—22no—
1681C23—21no—
1682C23—41no—
1683C23—41no—
1684C23—3162no—
1685C23—3161no—
1686C23—3161no—
1687C23—3162no—
1688C23—3162no—
1689C23—3162no—
1690C23—791no—
1691C23—791no—
1692C23—6321no—
1693C23—6321no—
1694C23—1582no—
1695C23—1581no—
1696C23—1581no—
1697C23—1581no—
1698C23C2×D4×D7911yescharacteristic
1699C23C2×D4×D7911yescharacteristic
1700C23C2×D4×D7911yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—81no—
1708Q8—3162no—
1709Q8—3162no—
1710Q8—3162no—
1711Q8—792no—
1712Q8—6321no—
1713Q8—1581no—
1714Q8—1581no—
1715Q8—1581no—
1716Q8—1581no—
1717Q8—1581no—
1718D4—21no—
1719D4—21no—
1720D4—42no—
1721D4—42no—
1722D4—81no—
1723D4—3162no—
1724D4—3162no—
1725D4—3162no—
1726D4—3162no—
1727D4—3162no—
1728D4—3162no—
1729D4—3162no—
1730D4—3162no—
1731D4—3162no—
1732D4—3162no—
1733D4—3162no—
1734D4—3162no—
1735D4—794no—
1736D4—792no—
1737D4—6321no—
1738D4—6321no—
1739D4—6321no—
1740D4—6321no—
1741D4—1582no—
1742D4—1582no—
1743D4—1584no—
1744D4—1582no—
1745D4—1581no—
1746D4—1581no—
1747D4—1581no—
1748D4—1581no—
1749D4—1581no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—41no—
1764C2×C4—41no—
1765C2×C4—41no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—81no—
1769C2×C4—3162no—
1770C2×C4—3162no—
1771C2×C4—3162no—
1772C2×C4—3161no—
1773C2×C4—3161no—
1774C2×C4—3162no—
1775C2×C4—3162no—
1776C2×C4—3162no—
1777C2×C4—3162no—
1778C2×C4—3162no—
1779C2×C4—3162no—
1780C2×C4—3161no—
1781C2×C4—3161no—
1782C2×C4—3162no—
1783C2×C4—791no—
1784C2×C4—791no—
1785C2×C4—791no—
1786C2×C4—791no—
1787C2×C4—791no—
1788C2×C4—791no—
1789C2×C4—6321no—
1790C2×C4—6321no—
1791C2×C4—6321no—
1792C2×C4—6321no—
1793C2×C4—1584no—
1794C2×C4—1581no—
1795C2×C4—1581no—
1796C2×C4—1581no—
1797C2×C4—1581no—
1798C2×C4—1582no—
1799C2×C4—1581no—
1800C2×C4—1581no—
1801C2×C4—1581no—
1802C2×C4—1581no—
1803C2×C4—1581no—
1804C2×C4C2×D4×D7911yescharacteristic
1805C2×C4C2×D4×D7911yescharacteristic
1806C2×C4C2×D4×D7911yescharacteristic
1807C2×C4C24×D7911yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—1581no—
1813C8—1581no—
1814C8—1581no—
1815C8—1581no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—82no—
1828C22—3161no—
1829C22—3161no—
1830C22—3161no—
1831C22—3161no—
1832C22—3161no—
1833C22—3161no—
1834C22—3161no—
1835C22—3161no—
1836C22—792no—
1837C22—6324no—
1838C22—6322no—
1839C22—6324no—
1840C22—1582no—
1841C22—1581no—
1842C22—1581no—
1843C22—1581no—
1844C22—1581no—
1845C22—1581no—
1846C22#135×D7912yes—
1847C22C22×D4×D7911yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—3161no—
1859C4—3161no—
1860C4—3161no—
1861C4—3161no—
1862C4—792no—
1863C4—1581no—
1864C4—1582no—
1865C4—1581no—
1866C4—1581no—
1867C4—1581no—
1868C4—1581no—
1869C4H(5,𝔽2)×D7911yescharacteristic
1870C4H(5,𝔽2)×D7911yescharacteristic
1871C2—22no—
1872C2—41no—
1873C2—41no—
1874C2—81no—
1875C2—3162no—
1876C2—3161no—
1877C2—6321no—
1878C2—6321no—
1879C2—1582no—
1880C2#2377703211yescharacteristic
1881C2C2×#135×D7911yescharacteristic
1882C2#2377818311yescharacteristic
subgroupG/H
centerC22C22×D4×D79
commutator, cosocleC2×C4×C79C25
FrattiniC2×C4C24×D79
FittingC79×#3190C2
socleC22×C79C23×D4
hypercenter#3190D79
hypocenterC79#61568
LCSG ▷ C2×C4×C79 ▷ C2×C79 ▷ C79
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3190

Complements

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

NH ≅ G/Ntype
1. #23777443C2semidirect
2. #23776883C2semidirect
3. #23775334C2semidirect
4. #23775312C2semidirect
5. #23775285C2semidirect
6. #23775282C2semidirect
7. #23775263C2semidirect
8. #23775233C2semidirect
9. #23775230C2semidirect
10. #23775211C2semidirect
11. #23775145C2semidirect
12. #23775144C2semidirect
13. #23775134C2semidirect
14. #23775127C2semidirect
15. #23775119C2semidirect
16. #23775114C2semidirect
17. #23775100C2semidirect
18. #23775089C2semidirect
19. #23774379C2semidirect
20. #23774354C2semidirect
21. #23774195C2semidirect
22. #23774188C2semidirect
23. #23774185C2semidirect
24. #23773466C2semidirect
25. #23773421C2semidirect
26. #23772622C2semidirect
27. #23772621C2semidirect
28. C2×#19098723C2semidirect
29. #452×D79C2semidirect
30. #23772422C2semidirect
31. C79×#3190C2semidirect
34. C2×#14579184C22semidirect
35. C2×#14579183C22semidirect
36. C2×#14579183C22semidirect
37. C2×#14579182C22semidirect
38. C22×#11929614C22semidirect
39. C2×Q16×D79C22semidirect
40. C22×#11929611C22semidirect
41. C2×SD16×D79C22semidirect
42. #19099284C22semidirect
44. #19099248C22semidirect
45. #19099247C22semidirect
51. #19099224C22semidirect
53. #19099223C22semidirect
56. #19099215C22semidirect
69. #19099115C22semidirect
72. #19099099C22semidirect
73. #19099076C22semidirect
75. #19099074C22semidirect
78. C22⋊Q8×D79C22semidirect
83. #19098948C22semidirect
84. #19098944C22semidirect
85. #19098941C22semidirect
86. #19098934C22semidirect
87. #19098919C22semidirect
88. #19098916C22semidirect
89. #19098912C22semidirect
90. #19098908C22semidirect
91. #19098906C22semidirect
92. #19098904C22semidirect
93. #19098901C22semidirect
94. #19098895C22semidirect
95. #19098889C22semidirect
96. #19098887C22semidirect
97. #19098884C22semidirect
98. #19098878C22semidirect
99. #19098869C22semidirect
100. #19098862C22semidirect
101. #19098847C22semidirect
102. #19098842C22semidirect
103. #19098805C22semidirect
104. #19098803C22semidirect
105. #19098803C22semidirect
106. #19098802C22semidirect
107. #19098800C22semidirect
108. #19098797C22semidirect
109. #19098795C22semidirect
110. #19098795C22semidirect
111. #19098794C22semidirect
112. #19098793C22semidirect
113. #19098793C22semidirect
114. #19098790C22semidirect
115. #19098788C22semidirect
116. #19098788C22semidirect
117. #19098787C22semidirect
118. #19098784C22semidirect
119. #19098783C22semidirect
120. #19098781C22semidirect
121. #19098772C22semidirect
122. #19098771C22semidirect
123. #19098767C22semidirect
124. #19098767C22semidirect
125. #19098761C22semidirect
126. #19098757C22semidirect
127. #19098728C22semidirect
128. #19098728C22semidirect
130. #19098727C22semidirect
131. #19098726C22semidirect
132. #19098725C22semidirect
133. #19098724C22semidirect
136. #19098723C22semidirect
137. #19098723C22semidirect
138. #19098723C22semidirect
139. #19098723C22semidirect
140. #19098723C22semidirect
141. #19098723C22semidirect
142. #19098723C22semidirect
143. #19098722C22semidirect
144. #19098721C22semidirect
145. #19098720C22semidirect
146. #19098717C22semidirect
147. #19098716C22semidirect
148. #19098712C22semidirect
149. #19098711C22semidirect
151. #19098710C22semidirect
152. #19098708C22semidirect
153. #19098706C22semidirect
154. #19098704C22semidirect
155. #19098703C22semidirect
156. #19098703C22semidirect
157. #19098699C22semidirect
158. #19098698C22semidirect
159. #19098657C22semidirect
160. #19098655C22semidirect
161. #19098655C22semidirect
162. #19098650C22semidirect
163. #19098650C22semidirect
164. #19098648C22semidirect
165. #19098648C22semidirect
166. #19098645C22semidirect
167. C8×C22⋊D79C22semidirect
168. C8×C22⋊D79C22semidirect
169. C8×C22⋊D79C22semidirect
170. C8×C22⋊D79C22semidirect
173. (C22⋊D79)⋊C8C22semidirect
174. (C22⋊D79)⋊C8C22semidirect
175. #19098613C22semidirect
176. #19098613C22semidirect
177. #19098560C22semidirect
178. #19098560C22semidirect
179. #19098558C22semidirect
180. #19098556C22semidirect
181. C2×#14579084C22semidirect
182. #103×D79C22semidirect
183. C2×#14579081C22semidirect
184. #102×D79C22semidirect
185. C2×C22⋊(C79⋊C8)C22semidirect
186. C22⋊C8×D79C22semidirect
187. C22⋊C8×D79C22semidirect
189. C2×C22⋊Q8×C79C22semidirect
190. #485×C79C22semidirect
191. #485×C79C22semidirect
192. #483×C79C22semidirect
193. #480×C79C22semidirect
194. #467×C79C22semidirect
195. #467×C79C22semidirect
196. #465×C79C22semidirect
197. #465×C79C22semidirect
198. #452×C79C22semidirect
199. #452×C79C22semidirect
200. #451×C79C22semidirect
201. #448×C79C22semidirect
202. C2×C22⋊C8×C79C22semidirect
808. C22⋊D79#135semidirect
965. #3190D79semidirect
973. C79#61568semidirect
1022. C2×C22⋊Q8C2×D79semidirect
1038. #485C2×D79semidirect
1039. #485C2×D79semidirect
1041. #483C2×D79semidirect
1046. #480C2×D79semidirect
1055. #467C2×D79semidirect
1056. #467C2×D79semidirect
1065. #465C2×D79semidirect
1066. #465C2×D79semidirect
1096. #452C2×D79semidirect
1097. #452C2×D79semidirect
1101. #451C2×D79semidirect
1112. #448C2×D79semidirect
1144. C2×C22⋊C8C2×D79semidirect

Maximal subgroups

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

subgroupindex
#237774432
#237768832
#237753342
#237753122
#237752852
#237752822
#237752632
#237752332
#237752302
#237752112
#237751452
#237751442
#237751342
#237751272
#237751192
#237751142
#237751002
#237750892
#237743792
#237743542
#237741952
#237741882
#237741852
#237734662
#237734212
#237726222
#237726212
C2×#190987232
#452×D792
#237724222
C79×#31902
#6156879