Finite Group Databasebeta

← #29481061

Subgroups — #29481061

Order 15104.

2168 conjugacy classes of subgroups.

The subgroup lattice has 1894 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437868C211yesmaximal, characteristic, complemented
2#21437686C211yesmaximal, characteristic, complemented
3#21437135C211yesmaximal, characteristic, complemented
4#21437133C211yesmaximal, characteristic, complemented
5#21436826C211yesmaximal, characteristic, complemented
6#21436820C211yesmaximal, characteristic, complemented
7#21436322C211yesmaximal, characteristic, complemented
8#21436320C211yesmaximal, characteristic, complemented
9#21436243C211yesmaximal, characteristic, complemented
10#21436241C211yesmaximal, characteristic, complemented
11#21436239C211yesmaximal, characteristic, complemented
12#21436237C211yesmaximal, characteristic, complemented
13#21435710C211yesmaximal, characteristic, complemented
14#21435709C211yesmaximal, characteristic, complemented
15#21435592C211yesmaximal, characteristic, complemented
16#21435591C211yesmaximal, characteristic, complemented
17#21435584C211yesmaximal, characteristic, complemented
18#21435455C211yesmaximal, characteristic, complemented
19#21435453C211yesmaximal, characteristic, complemented
20#21435402C211yesmaximal, characteristic, complemented
21#21435117C211yesmaximal, characteristic, complemented
22#21435110C211yesmaximal, characteristic, complemented
23#21435012C211yesmaximal, characteristic, complemented
24#21434245C211yesmaximal, characteristic, complemented
25#21434240C211yesmaximal, characteristic, complemented
26#21434122C211yesmaximal, characteristic, complemented
27#21433574C211yesmaximal, characteristic, complemented
28#21433573C211yesmaximal, characteristic, complemented
29C2×#16837600C211yesmaximal, characteristic, complemented
30#21433208C211yesmaximal, characteristic, complemented
31C59×#3265C211yesmaximal, characteristic, complemented
32C2×#14273772—21no—
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273754C2211yescharacteristic, complemented
35C2×#14273752C2211yescharacteristic, complemented
36C22×#11745671C2211yescharacteristic, complemented
37#16838134—21no—
38#16838134C2211yescharacteristic, complemented
39#16838128C2211yescharacteristic, complemented
40#16838123—21no—
41#16838123C2211yescharacteristic, complemented
42#16838104—21no—
43#16838104C2211yescharacteristic, complemented
44#16838098—21no—
45#16838098C2211yescharacteristic, complemented
46#16838073C2211yescharacteristic
47#16838072C2211yescharacteristic
48#16838071C2211yescharacteristic, complemented
49#16838070—21no—
50#16838063C2211yescharacteristic, complemented
51D4×D236C2211yescharacteristic
52#16838036C2211yescharacteristic
53#16838036C2211yescharacteristic
54D4×C22⋊D59—21no—
55D4×C22⋊D59C2211yescharacteristic
56D4×C22⋊D59C2211yescharacteristic
57#16838034—21no—
58#16838034—21no—
59#16837968—21no—
60#16837967—21no—
61#16837967—21no—
62#16837949C2211yescharacteristic
63#16837947—21no—
64#16837947C2211yescharacteristic
65#16837947C2211yescharacteristic
66#16837947C2211yescharacteristic, complemented
67C2×#14273723C2211yescharacteristic
68C2×#14273723C2211yescharacteristic
69#127×D59C2211yescharacteristic
70#16837938—21no—
71#16837938C2211yescharacteristic, complemented
72#16837931—21no—
73#16837931C2211yescharacteristic, complemented
74#41×Dic59C2211yescharacteristic, complemented
75C4×#11745689C2211yescharacteristic, complemented
76C4×#11745687—21no—
77C4×#11745687C2211yescharacteristic
78C2×Q8×Dic59C2211yescharacteristic, complemented
79#16837792C2211yescharacteristic, complemented
80#16837788C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic, complemented
82#16837777C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837729C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837725C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic, complemented
94#16837721C2211yescharacteristic, complemented
95#16837718C2211yescharacteristic, complemented
96#16837705C2211yescharacteristic, complemented
97#16837704C2211yescharacteristic, complemented
98#16837703C2211yescharacteristic, complemented
99#16837702C2211yescharacteristic, complemented
100#16837685C2211yescharacteristic, complemented
101#16837685C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837681C2211yescharacteristic, complemented
104#16837680C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837652C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837620C2211yescharacteristic, complemented
117#16837619C2211yescharacteristic, complemented
118#16837614C2211yescharacteristic, complemented
119#16837602C2211yescharacteristic, complemented
120#16837600C2211yescharacteristic, complemented
121#16837600C2211yescharacteristic, complemented
122#16837600C2211yescharacteristic, complemented
123#16837600C2211yescharacteristic, complemented
124#16837600C2211yescharacteristic, complemented
125#16837600C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic, complemented
130#16837600C2211yescharacteristic, complemented
131#16837600C2211yescharacteristic, complemented
132#16837598C2211yescharacteristic, complemented
133#16837596C2211yescharacteristic, complemented
134#16837596C2211yescharacteristic, complemented
135#16837596C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837595C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic, complemented
144#16837552C2211yescharacteristic, complemented
145#16837551C2211yescharacteristic, complemented
146#16837551C2211yescharacteristic, complemented
147#16837550C2211yescharacteristic, complemented
148#16837547C2211yescharacteristic, complemented
149#16837546C2211yescharacteristic, complemented
150#16837541C2211yescharacteristic, complemented
151#16837538C2211yescharacteristic, complemented
152#16837538C2211yescharacteristic, complemented
153#16837536C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837531C2211yescharacteristic, complemented
159#16837530C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837512C2211yescharacteristic, complemented
163#16837511C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168SD16×Dic59C2211yescharacteristic, complemented
169#16837487C2211yescharacteristic, complemented
170#16837487C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837474C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837425C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C2×Dic59⋊C8C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic, complemented
183#16837407C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837405C2211yescharacteristic, complemented
186C2×#14273649C2211yescharacteristic, complemented
187C2×#14273648C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273772—48no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687D411yescharacteristic
212C22×D236C2311yescharacteristic
213C22×D236C2311yescharacteristic
214C22×C22⋊D59—21no—
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C22×C22⋊D59—21no—
218C22×C22⋊D59—21no—
219C22×C22⋊D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227#14273754—42no—
228#14273754—42no—
229#14273752—42no—
230C2×#11745671—42no—
231C2×#11745671C2311yescharacteristic
232C2×#11745671C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245C2×#11745669C2311yescharacteristic
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C22×C59⋊C8C2311yescharacteristic
250#14273726—21no—
251#14273726C2311yescharacteristic
252#14273726C2311yescharacteristic
253#14273724C2311yescharacteristic
254#14273723—21no—
255#14273723—21no—
256#14273723—21no—
257#14273723—21no—
258#14273723—21no—
259#14273723—21no—
260#14273723—21no—
261#14273723C2311yescharacteristic
262#14273723C2311yescharacteristic
263#14273723C2311yescharacteristic
264#14273723C2311yescharacteristic
265#14273723C2311yescharacteristic
266#14273723C2311yescharacteristic
267#14273723C2311yescharacteristic
268#14273723C2311yescharacteristic
269#14273722—21no—
270#14273722—21no—
271#14273722—21no—
272#14273720—21no—
273#14273720—21no—
274#14273720—21no—
275#14273719—21no—
276#14273719C2311yescharacteristic
277#14273718—21no—
278#14273718C2311yescharacteristic
279#14273716—21no—
280#14273716C2311yescharacteristic
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273713—21no—
285#14273713—21no—
286#14273713—21no—
287#14273711—21no—
288#14273711—21no—
289#14273711—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273703—21no—
294#14273703C2311yescharacteristic
295#14273702—21no—
296#14273702C2311yescharacteristic
297#14273701—21no—
298#14273701—21no—
299#14273701—21no—
300#14273701C2311yescharacteristic
301#14273701C2311yescharacteristic
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273700—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273698—21no—
319#14273698—21no—
320#14273698C2311yescharacteristic
321#14273698C2311yescharacteristic
322#14273697—21no—
323#14273697—21no—
324#14273697—21no—
325#14273697—21no—
326#14273696—21no—
327#14273696—21no—
328#14273695—21no—
329#14273695—21no—
330#14273695—21no—
331#14273695—21no—
332Q8×Dic59—21no—
333Q8×Dic59—21no—
334Q8×Dic59C2311yescharacteristic
335Q8×Dic59C2311yescharacteristic
336Q8×Dic59C2311yescharacteristic
337Q8×Dic59C2311yescharacteristic
338Q8×Dic59C2311yescharacteristic
339C4×Dic118—21no—
340C4×Dic118C2311yescharacteristic
341#14273692—21no—
342#14273692D411yescharacteristic
343C4×D236—21no—
344C4×D236C2311yescharacteristic
345C4×D236C2311yescharacteristic
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59D411yescharacteristic
350D4×Dic59C2311yescharacteristic
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354#14273689—21no—
355#14273689C2311yescharacteristic
356#14273689C2311yescharacteristic
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59C2311yescharacteristic
362C4×C22⋊D59C2311yescharacteristic
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4D411yescharacteristic
371(C22⋊D59)⋊C4D411yescharacteristic
372#14273686—21no—
373#14273686C2311yescharacteristic
374#14273685—21no—
375#14273685—21no—
376#14273685D411yescharacteristic
377#14273685C2311yescharacteristic
378#14273683—21no—
379#14273683D411yescharacteristic
380#14273683D411yescharacteristic
381C2×C4⋊Dic59—21no—
382C2×C4⋊Dic59C2311yescharacteristic
383C2×C4×Dic59—21no—
384C2×C4×Dic59—21no—
385C2×C4×Dic59C2311yescharacteristic
386C2×C4×Dic59C2311yescharacteristic
387C42×D59—21no—
388C42×D59C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273638C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C22×Q8×C59C2311yescharacteristic
442C22×D4×C59—21no—
443C22×D4×C59C2311yescharacteristic
444C22×D4×C59C2311yescharacteristic
445AGL(1,ℤ/8)×C59—42no—
446C2×SD16×C59—42no—
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×D8×C59C2311yescharacteristic
456C2×M16×C59C2311yescharacteristic
457C22×C8×C59C2311yescharacteristic
458#127×C59C2311yescharacteristic
459#124×C59—21no—
460#124×C59C2311yescharacteristic
461C22⋊Q8×C59—21no—
462C22⋊Q8×C59C2311yescharacteristic
463#121×C59—21no—
464#121×C59—21no—
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#121×C59C2311yescharacteristic
468#120×C59—21no—
469#120×C59—21no—
470C4×Q8×C59C2311yescharacteristic
471C4×D4×C59—21no—
472C4×D4×C59C2311yescharacteristic
473C4×D4×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483C22⋊C8×C59C2311yescharacteristic
484#97×C59C2311yescharacteristic
485C24×C59—21no—
486C24×C59—21no—
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491#41×C59—22no—
492#41×C59—41no—
493C2×Q8×C59—21no—
494C2×Q8×C59—22no—
495C2×Q8×C59—41no—
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—41no—
507C2×D4×C59—41no—
508C2×D4×C59—41no—
509C2×D4×C59—41no—
510C2×D4×C59—44no—
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—44no—
546C2×C22⋊D59—44no—
547C2×C22⋊D59—44no—
548C2×C22⋊D59—44no—
549C2×C22⋊D59—82no—
550C2×C22⋊D59—82no—
551C2×C22⋊D59C2×D411yescharacteristic
552C2×C22⋊D59C2×D411yescharacteristic
553C22×Dic59—21no—
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558C22×Dic59C2×D411yescharacteristic
559C22×Dic59C2×D411yescharacteristic
560C22×Dic59C2×D411yescharacteristic
561C22×Dic59C2×D411yescharacteristic
562#11745689—22no—
563#11745689—41no—
564#11745687—24no—
565#11745687—44no—
566#11745687—44no—
567#11745687—44no—
568#11745687—44no—
569D4×D59—41no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—41no—
573D4×D59—44no—
574D4×D59—44no—
575D4×D59—44no—
576D4×D59—44no—
577D4×D59—82no—
578#11745685—44no—
579#11745685—44no—
580C2×D236—21no—
581C2×D236—21no—
582C2×D236—21no—
583C2×D236—21no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—41no—
587C2×D236—41no—
588C2×D236—41no—
589C2×D236—41no—
590C2×D236C2411yescharacteristic
591C2×D236C2411yescharacteristic
592C2×D236C2411yescharacteristic
593C2×D236C2411yescharacteristic
594C2×C4×D59—21no—
595C2×C4×D59—21no—
596C2×C4×D59—21no—
597C2×C4×D59—21no—
598C2×C4×D59—21no—
599C2×C4×D59—21no—
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×Dic118—21no—
604C2×Dic118—21no—
605C2×Dic118C2×D411yescharacteristic
606SD16×C59—22no—
607SD16×C59—22no—
608SD16×C59—22no—
609SD16×C59—41no—
610SD16×C59—41no—
611SD16×C59—41no—
612D8×C59—41no—
613D8×C59—41no—
614D8×C59—41no—
615M16×C59—41no—
616C2×C8×C59—41no—
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59C2×D411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59C2×D411yescharacteristic
634C22⋊C4×C59C2×D411yescharacteristic
635C42×C59—21no—
636C42×C59C2411yescharacteristic
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59C2×D411yescharacteristic
645C22⋊Dic59C2×D411yescharacteristic
646#11745671—22no—
647#11745671—22no—
648#11745671—22no—
649#11745671—41no—
650#11745671—41no—
651#11745671—41no—
652#11745669—41no—
653#11745669—41no—
654#11745669—41no—
655#11745669—41no—
656#11745669—41no—
657#11745669—41no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4C2×D411yescharacteristic
673(C2×D59)⋊C4C2×D411yescharacteristic
674C4⋊Dic59—21no—
675C4⋊Dic59—21no—
676C4⋊Dic59—21no—
677C4⋊Dic59—21no—
678C4⋊Dic59—21no—
679C4⋊Dic59—21no—
680C4⋊Dic59—21no—
681C4⋊Dic59C2×D411yescharacteristic
682C4⋊Dic59C2411yescharacteristic
683C4⋊Dic59C2411yescharacteristic
684C4⋊Dic59C2411yescharacteristic
685C4⋊Dic59C2411yescharacteristic
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4C2×D411yescharacteristic
693Dic59⋊C4C2×D411yescharacteristic
694Dic59⋊C4C2×D411yescharacteristic
695Dic59⋊C4C2×D411yescharacteristic
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2×D411yescharacteristic
704C4×Dic59C2×D411yescharacteristic
705C4×Dic59C2×D411yescharacteristic
706C4×Dic59C2×D411yescharacteristic
707C4×Dic59C2×D411yescharacteristic
708C4×Dic59C2×D411yescharacteristic
709C4×Dic59C2411yescharacteristic
710C4×Dic59C2411yescharacteristic
711C4×Dic59C2411yescharacteristic
712#11745664—41no—
713C2×C59⋊C8—41no—
714C2×C59⋊C8C2411yescharacteristic
715C2×C59⋊C8C2411yescharacteristic
716C2×C59⋊C8C2411yescharacteristic
717C2×C59⋊C8C2411yescharacteristic
718D472—41no—
719D472—41no—
720D472—41no—
721#11745659—41no—
722#11745659—41no—
723C23×C59—21no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—42no—
728C23×C59—42no—
729C23×C59—81no—
730C23×C59—81no—
731C23×C59—81no—
732C23×C59—81no—
733C23×C59C22×D411yescharacteristic
734C23×C59C22×D411yescharacteristic
735C22×D59—21no—
736C22×D59—21no—
737C22×D59—21no—
738C22×D59—21no—
739C22×D59—42no—
740C22×D59—42no—
741C22×D59—42no—
742C22×D59—42no—
743C22×D59—81no—
744C22×D59—81no—
745C22×D59—81no—
746C22×D59—81no—
747C22×D59—81no—
748C22×D59—81no—
749C22×D59—81no—
750C22×D59—81no—
751C22×D59C22×D411yescharacteristic
752Q8×C59—21no—
753Q8×C59—21no—
754Q8×C59—21no—
755Q8×C59—42no—
756Q8×C59H(5,𝔽2)12yescomplemented
757D4×C59—22no—
758D4×C59—21no—
759D4×C59—21no—
760D4×C59—21no—
761D4×C59—21no—
762D4×C59—21no—
763D4×C59—21no—
764D4×C59—21no—
765D4×C59—21no—
766D4×C59—42no—
767D4×C59—42no—
768D4×C59—42no—
769D4×C59—42no—
770D4×C59—42no—
771D4×C59—81no—
772D4×C59—81no—
773D4×C59—81no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—42no—
783C2×C4×C59—42no—
784C2×C4×C59—42no—
785C2×C4×C59C22×D411yescharacteristic
786C2×C4×C59C22×D411yescharacteristic
787C2×C4×C59C22×D411yescharacteristic
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C2511yescharacteristic
790C22⋊D59—22no—
791C22⋊D59—22no—
792C22⋊D59—42no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—42no—
796C22⋊D59—42no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—81no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C22⋊D59—81no—
814C22⋊D59—81no—
815C22⋊D59—81no—
816C2×Dic59—22no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—41no—
822C2×Dic59—41no—
823C2×Dic59—42no—
824C2×Dic59—42no—
825C2×Dic59—42no—
826C2×Dic59—81no—
827C2×Dic59—81no—
828C2×Dic59AGL(1,ℤ/8)14yescomplemented
829C2×Dic59C22×D411yescharacteristic
830C2×Dic59C22×D411yescharacteristic
831C2×Dic59C22×D411yescharacteristic
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835C2×Dic59C22×D411yescharacteristic
836D236—21no—
837D236—21no—
838D236—21no—
839D236—21no—
840D236—21no—
841D236—21no—
842D236—21no—
843D236—21no—
844D236—42no—
845D236—42no—
846D236—42no—
847D236—81no—
848D236—81no—
849D236—81no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—22no—
853C4×D59—41no—
854C4×D59—42no—
855C4×D59—42no—
856C4×D59—42no—
857C4×D59—42no—
858C4×D59—42no—
859C4×D59—81no—
860Dic118—22no—
861Dic118—42no—
862Dic118—42no—
863C8×C59—21no—
864C8×C59—21no—
865C8×C59—21no—
866C8×C59—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869C59⋊C8—21no—
870C59⋊C8—21no—
871#61963—591nomaximal, Sylow
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—41no—
881C22×C59—41no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—162no—
890C22×C59—162no—
891C22×C59C2×AGL(1,ℤ/8)12yes—
892C22×C59C23×D411yescharacteristic
893C2×D59—21no—
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—162no—
909C2×D59—162no—
910C2×D59—162no—
911C2×D59—162no—
912C4×C59—21no—
913C4×C59—22no—
914C4×C59—21no—
915C4×C59—21no—
916C4×C59—21no—
917C4×C59—41no—
918C4×C59—41no—
919C4×C59—41no—
920C4×C59C2×H(5,𝔽2)11yescharacteristic
921C4×C59#58511yescharacteristic
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—21no—
926Dic59—21no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59—41no—
931Dic59C2×AGL(1,ℤ/8)12yes—
932Dic59C2×AGL(1,ℤ/8)12yes—
933#3498—591no—
934#3480—591no—
935#3399—591no—
936#3399—591no—
937#3368—591no—
938#3368—591no—
939#3324—591no—
940#3324—591no—
941#3318—591no—
942#3318—591no—
943#3318—591no—
944#3318—591no—
945#3274—591no—
946#3274—591no—
947#3265—591no—
948#3265—591no—
949#3265—591no—
950#3265D5911yescharacteristic, complemented
951#3251—591no—
952#3251—591no—
953#3245—591no—
954#3217—591no—
955#3217—591no—
956#3205—591no—
957#3115—591no—
958#3115—591no—
959#3103—591no—
960#3038—591no—
961#3038—591no—
962C2×#460—591no—
963#2989—591no—
964C2×C59—22no—
965C2×C59—41no—
966C2×C59—81no—
967C2×C59—81no—
968C2×C59—81no—
969C2×C59—81no—
970C2×C59#348811yescharacteristic
971C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
972C2×C59#358511yescharacteristic
973D59—41no—
974D59—81no—
975D59—81no—
976D59—81no—
977D59—81no—
978C2×H(5,𝔽2)—1181no—
979C2×AGL(1,ℤ/8)—591no—
980C2×AGL(1,ℤ/8)—591no—
981C2×AGL(1,ℤ/8)—591no—
982C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
983C22×SD16—591no—
984C22×SD16C2×D5911yescharacteristic, complemented
985#559—591no—
986#559—1181no—
987#557—591no—
988#556—591no—
989#556—1181no—
990#553—591no—
991#553—591no—
992#553—1181no—
993#553—1181no—
994#550—591no—
995#550—591no—
996#550—591no—
997#550—1181no—
998#548—591no—
999#548C2×D5911yescharacteristic, complemented
1000D42—591no—
1001D42—591no—
1002D42—591no—
1003D42—591no—
1004D42—591no—
1005D42—1181no—
1006D42—1181no—
1007D42—1181no—
1008D42C2×D5911yescharacteristic
1009#535—1181no—
1010#535—1181no—
1011#535—1181no—
1012#532—591no—
1013#532—591no—
1014#532—591no—
1015#532—591no—
1016#532—1181no—
1017C2×#127—591no—
1018C2×#127—591no—
1019C2×#127—591no—
1020#529—591no—
1021#529—591no—
1022#529—1181no—
1023#529—1181no—
1024C4×#41—591no—
1025C4×#41—591no—
1026C4×#41—591no—
1027C4×#41—1181no—
1028C2×C4×Q8—591no—
1029#496—591no—
1030#496—591no—
1031#496—591no—
1032#496C2×D5911yescharacteristic, complemented
1033#493—591no—
1034#493—591no—
1035#490—591no—
1036#490—591no—
1037#490—591no—
1038#490—591no—
1039#486—591no—
1040#486—591no—
1041#482—591no—
1042#482—591no—
1043#482—591no—
1044#482—591no—
1045#481—591no—
1046#481—591no—
1047#478—591no—
1048#478—591no—
1049#478—591no—
1050#478—591no—
1051#475—591no—
1052#475—591no—
1053#474—591no—
1054#474—591no—
1055#474—591no—
1056#474—591no—
1057#469—591no—
1058#469—591no—
1059#469—591no—
1060#469—591no—
1061#468—591no—
1062#468—591no—
1063#468—591no—
1064#468C2×D5911yescharacteristic, complemented
1065#466—591no—
1066#466—591no—
1067#466—591no—
1068#466C2×D5911yescharacteristic, complemented
1069#463—591no—
1070#463—591no—
1071#463—591no—
1072#463C2×D5911yescharacteristic, complemented
1073#460—591no—
1074#460—591no—
1075#460—591no—
1076#460—591no—
1077#460—591no—
1078#460—591no—
1079#460—591no—
1080#460—591no—
1081#460—591no—
1082#460—591no—
1083#460—591no—
1084#460—591no—
1085#460—591no—
1086#460C2×D5911yescharacteristic, complemented
1087#459—591no—
1088#459—591no—
1089#459—591no—
1090#459—591no—
1091#459—591no—
1092#459—591no—
1093#459—591no—
1094#459—591no—
1095#459—591no—
1096#459—591no—
1097#459—591no—
1098#459—591no—
1099#450—591no—
1100#450—591no—
1101#450—591no—
1102#450C2×D5911yescharacteristic, complemented
1103#449—591no—
1104#449—591no—
1105#449—591no—
1106#449C2×D5911yescharacteristic, complemented
1107#448—591no—
1108#448C2×D5911yescharacteristic, complemented
1109#447—591no—
1110#447—591no—
1111#447—591no—
1112#447—591no—
1113#447—591no—
1114#447—591no—
1115#447—591no—
1116#447C2×D5911yescharacteristic, complemented
1117#446—591no—
1118#446—591no—
1119#442—591no—
1120#442—591no—
1121#442—591no—
1122#442—591no—
1123#440—591no—
1124#440—591no—
1125#440—591no—
1126#440C2×D5911yescharacteristic, complemented
1127C4×SD16—591no—
1128C4×SD16—591no—
1129C4×SD16—591no—
1130C4×SD16—591no—
1131#436—591no—
1132#436—591no—
1133#435—591no—
1134#435—591no—
1135#435—591no—
1136#435C2×D5911yescharacteristic, complemented
1137#432—591no—
1138#432—591no—
1139#431—591no—
1140#423—591no—
1141#423—591no—
1142C2×C4⋊C8—591no—
1143#418—591no—
1144#418—591no—
1145#418—591no—
1146#418—591no—
1147C2×#102—591no—
1148C2×#102—591no—
1149C59#6196311yescharacteristic, complemented, Sylow
1150H(5,𝔽2)—2368no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—1181no—
1154C2×#41—1181no—
1155C2×#41—1181no—
1156C2×#41—1181no—
1157C2×#41—1181no—
1158C2×#41—1181no—
1159C2×#41C22×D5911yescharacteristic
1160C22×Q8C22×D5911yescharacteristic
1161C22×D4—21no—
1162C22×D4—591no—
1163C22×D4—591no—
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—1181no—
1167C22×D4—1181no—
1168C22×D4—1181no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4—1181no—
1177C22×D4C22×D5911yescharacteristic
1178C22×D4C22×D5911yescharacteristic
1179AGL(1,ℤ/8)—42no—
1180AGL(1,ℤ/8)—2362no—
1181AGL(1,ℤ/8)—2362no—
1182AGL(1,ℤ/8)—2362no—
1183C2×SD16—42no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—2362no—
1191C2×SD16C22×D5911yescharacteristic
1192C2×SD16C22×D5911yescharacteristic
1193C2×SD16C22×D5911yescharacteristic
1194C2×SD16C22×D5911yescharacteristic
1195C2×SD16C22×D5911yescharacteristic
1196C2×SD16C22×D5911yescharacteristic
1197C2×D8—591no—
1198C2×D8—591no—
1199C2×D8—591no—
1200C2×D8—591no—
1201C2×D8—591no—
1202C2×D8—591no—
1203C2×D8—591no—
1204C2×D8—591no—
1205C2×D8—591no—
1206C2×D8C22×D5911yescharacteristic
1207C2×D8C22×D5911yescharacteristic
1208C2×D8C22×D5911yescharacteristic
1209C2×M16—591no—
1210C2×M16—591no—
1211C2×M16—591no—
1212C2×M16C22×D5911yescharacteristic
1213C22×C8—591no—
1214C22×C8C22×D5911yescharacteristic
1215C4⋊Q8—591no—
1216C4⋊Q8—591no—
1217C4⋊Q8—1181no—
1218#127—591no—
1219#127—591no—
1220#127—591no—
1221#127—591no—
1222#127—591no—
1223#127—591no—
1224#127—591no—
1225#127—591no—
1226#127—591no—
1227#127—1181no—
1228#127—1181no—
1229#127—1181no—
1230#127—1181no—
1231#127—1181no—
1232#127—1181no—
1233#127—1181no—
1234#127C22×D5911yescharacteristic
1235#126—1181no—
1236#126—1181no—
1237#126—1181no—
1238#126—1181no—
1239#126—1181no—
1240#126—1181no—
1241#125—591no—
1242#125—591no—
1243#125—1181no—
1244#125—1181no—
1245#124—21no—
1246#124—591no—
1247#124—1181no—
1248#124—1181no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#124C22×D5911yescharacteristic
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261C22⋊Q8—21no—
1262C22⋊Q8—591no—
1263C22⋊Q8—1181no—
1264C22⋊Q8C22×D5911yescharacteristic
1265#121—21no—
1266#121—21no—
1267#121—591no—
1268#121—591no—
1269#121—591no—
1270#121—591no—
1271#121—591no—
1272#121—591no—
1273#121—591no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121—1181no—
1287#121—1181no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121C22×D5911yescharacteristic
1295#121C22×D5911yescharacteristic
1296#121C22×D5911yescharacteristic
1297#120—21no—
1298#120—21no—
1299#120—1181no—
1300#120—1181no—
1301#120—1181no—
1302#120—1181no—
1303#120—1181no—
1304#120—1181no—
1305#120—1181no—
1306#120—1181no—
1307#120—1181no—
1308#120—1181no—
1309C4×Q8—591no—
1310C4×Q8—591no—
1311C4×Q8—591no—
1312C4×Q8—591no—
1313C4×Q8—591no—
1314C4×Q8—591no—
1315C4×Q8—591no—
1316C4×Q8—1181no—
1317C4×Q8—1181no—
1318C4×Q8—1181no—
1319C4×Q8—1181no—
1320C4×Q8C22×D5911yescharacteristic
1321C4×D4—21no—
1322C4×D4—591no—
1323C4×D4—591no—
1324C4×D4—591no—
1325C4×D4—591no—
1326C4×D4—591no—
1327C4×D4—591no—
1328C4×D4—591no—
1329C4×D4—591no—
1330C4×D4—591no—
1331C4×D4—591no—
1332C4×D4—591no—
1333C4×D4—591no—
1334C4×D4—591no—
1335C4×D4—591no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4—1181no—
1339C4×D4—1181no—
1340C4×D4—1181no—
1341C4×D4—1181no—
1342C4×D4—1181no—
1343C4×D4—1181no—
1344C4×D4—1181no—
1345C4×D4—1181no—
1346C4×D4—1181no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4C22×D5911yescharacteristic
1352C4×D4C22×D5911yescharacteristic
1353#117—591no—
1354#117—591no—
1355#117—591no—
1356#117—591no—
1357#117—591no—
1358#117—1181no—
1359#117—1181no—
1360#117—1181no—
1361#117—1181no—
1362C2×C4⋊C4—591no—
1363C2×C4⋊C4—1181no—
1364C2×C42—591no—
1365C2×C42—591no—
1366C2×C42—591no—
1367C2×C42—1181no—
1368C2×C42—1181no—
1369C2×C42—1181no—
1370#107—591no—
1371#107—591no—
1372#107—591no—
1373#107C22×D5911yescharacteristic
1374#106—591no—
1375#106—591no—
1376#106—591no—
1377#106—591no—
1378C4⋊C8—591no—
1379C4⋊C8—591no—
1380C4⋊C8—591no—
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8—591no—
1385C4⋊C8—591no—
1386C4⋊C8—591no—
1387C4⋊C8C22×D5911yescharacteristic
1388#103—591no—
1389#103—591no—
1390#103C22×D5911yescharacteristic
1391#103C22×D5911yescharacteristic
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102—591no—
1416#102C22×D5911yescharacteristic
1417#102C22×D5911yescharacteristic
1418#102C22×D5911yescharacteristic
1419#102C22×D5911yescharacteristic
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8C22×D5911yescharacteristic
1425C22⋊C8C22×D5911yescharacteristic
1426#97—591no—
1427#97—591no—
1428#97—591no—
1429#97C22×D5911yescharacteristic
1430C4×C8—591no—
1431C4×C8—591no—
1432C24—21no—
1433C24—21no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437C24—1181no—
1438#41—22no—
1439#41—41no—
1440#41—1184no—
1441#41—1182no—
1442#41—2364no—
1443#41—2364no—
1444#41—2364no—
1445#41—2364no—
1446#41—2364no—
1447#41—2361no—
1448#41—2364no—
1449C2×Q8—21no—
1450C2×Q8—22no—
1451C2×Q8—41no—
1452C2×Q8—591no—
1453C2×Q8—1181no—
1454C2×Q8—1181no—
1455C2×Q8C23×D5911yescharacteristic
1456C2×Q8C23×D5911yescharacteristic
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—41no—
1466C2×D4—41no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—44no—
1470C2×D4—591no—
1471C2×D4—591no—
1472C2×D4—591no—
1473C2×D4—591no—
1474C2×D4—591no—
1475C2×D4—591no—
1476C2×D4—1181no—
1477C2×D4—1181no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—4722no—
1507C2×D4—4722no—
1508C2×D4—4722no—
1509C2×D4—2361no—
1510C2×D4—2361no—
1511C2×D4—2361no—
1512C2×D4—2361no—
1513C2×D4—2364no—
1514C2×D4—2361no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4—2364no—
1523C2×D4—2364no—
1524C2×D4—2364no—
1525C2×D4D4×D5911yescharacteristic
1526C2×D4C23×D5911yescharacteristic
1527C2×D4C23×D5911yescharacteristic
1528C2×D4C23×D5911yescharacteristic
1529C2×D4C23×D5911yescharacteristic
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—591no—
1538C22×C4—591no—
1539C22×C4—591no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4C23×D5911yescharacteristic
1552C22×C4C23×D5911yescharacteristic
1553SD16—22no—
1554SD16—22no—
1555SD16—22no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559SD16—1182no—
1560SD16—1182no—
1561SD16—1182no—
1562SD16—2361no—
1563SD16—2361no—
1564SD16—2361no—
1565D8—41no—
1566D8—41no—
1567D8—41no—
1568D8—2361no—
1569D8—2361no—
1570D8—2361no—
1571D8—2361no—
1572D8—2361no—
1573D8—2361no—
1574D8—2361no—
1575D8—2361no—
1576D8—2361no—
1577M16—41no—
1578M16—2361no—
1579M16—2361no—
1580M16—2361no—
1581C2×C8—41no—
1582C2×C8—591no—
1583C2×C8—591no—
1584C2×C8—591no—
1585C2×C8—591no—
1586C2×C8—2361no—
1587C2×C8C23×D5911yescharacteristic
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C2×C8C23×D5911yescharacteristic
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—591no—
1594C4⋊C4—591no—
1595C4⋊C4—591no—
1596C4⋊C4—591no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4—1181no—
1615C4⋊C4D4×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C4⋊C4C23×D5911yescharacteristic
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4—1181no—
1650C22⋊C4D4×D5911yescharacteristic
1651C22⋊C4D4×D5911yescharacteristic
1652C42—21no—
1653C42—591no—
1654C42—591no—
1655C42—591no—
1656C42—591no—
1657C42—591no—
1658C42—591no—
1659C42—591no—
1660C42—591no—
1661C42—591no—
1662C42—1181no—
1663C42—1181no—
1664C42—1181no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C42—1181no—
1669C42C23×D5911yescharacteristic
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—42no—
1675C23—42no—
1676C23—81no—
1677C23—81no—
1678C23—81no—
1679C23—81no—
1680C23—591no—
1681C23—1181no—
1682C23—1181no—
1683C23—1181no—
1684C23—1181no—
1685C23—4721no—
1686C23—4721no—
1687C23—4721no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—2362no—
1694C23—2362no—
1695C23—2362no—
1696C23—2362no—
1697C23C2×D4×D5911yescharacteristic
1698C23C2×D4×D5911yescharacteristic
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—42no—
1703Q8—1182no—
1704Q8—2362no—
1705Q8—2362no—
1706Q8#1427377212yescomplemented
1707D4—22no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—21no—
1714D4—21no—
1715D4—21no—
1716D4—42no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—81no—
1722D4—81no—
1723D4—81no—
1724D4—1182no—
1725D4—1182no—
1726D4—1181no—
1727D4—1181no—
1728D4—1181no—
1729D4—1181no—
1730D4—1181no—
1731D4—1181no—
1732D4—1181no—
1733D4—1181no—
1734D4—4721no—
1735D4—4721no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—4721no—
1741D4—4721no—
1742D4—4721no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4—2362no—
1751D4—2362no—
1752D4—2362no—
1753D4—2362no—
1754D4—2362no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760D4—2362no—
1761D4—2362no—
1762D4—2362no—
1763D4—2362no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—42no—
1773C2×C4—42no—
1774C2×C4—42no—
1775C2×C4—594no—
1776C2×C4—591no—
1777C2×C4—591no—
1778C2×C4—591no—
1779C2×C4—591no—
1780C2×C4—591no—
1781C2×C4—591no—
1782C2×C4—591no—
1783C2×C4—1182no—
1784C2×C4—1182no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—4721no—
1792C2×C4—4721no—
1793C2×C4—4721no—
1794C2×C4—2361no—
1795C2×C4—2362no—
1796C2×C4—2362no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2362no—
1802C2×C4—2361no—
1803C2×C4—2361no—
1804C2×C4—2362no—
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C2×D4×D5911yescharacteristic
1809C2×C4C24×D5911yescharacteristic
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—1181no—
1815C8—1181no—
1816C8—1181no—
1817C8—1181no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—162no—
1836C22—162no—
1837C22—1181no—
1838C22—1181no—
1839C22—1181no—
1840C22—9442no—
1841C22—9442no—
1842C22—9442no—
1843C22—9442no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22—2361no—
1852C22—2361no—
1853C22—2361no—
1854C22—2361no—
1855C22—2361no—
1856C22AGL(1,ℤ/8)×D5912yes—
1857C22C22×D4×D5911yescharacteristic
1858C4—21no—
1859C4—21no—
1860C4—22no—
1861C4—21no—
1862C4—21no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—592no—
1867C4—592no—
1868C4—1181no—
1869C4—1181no—
1870C4—1181no—
1871C4—1181no—
1872C4—1181no—
1873C4—2361no—
1874C4—2361no—
1875C4—2361no—
1876C4—2361no—
1877C4C2×#1427377211yescharacteristic
1878C4#1683823711yescharacteristic
1879C2—22no—
1880C2—41no—
1881C2—81no—
1882C2—81no—
1883C2—81no—
1884C2—81no—
1885C2—4721no—
1886C2—4721no—
1887C2—4721no—
1888C2—4721no—
1889C2—2361no—
1890C2#2143775611yescharacteristic
1891C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1892C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3265C2
socleC22×C59C23×D4
hypercenter#3265D59
hypocenterC59#61963
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #21437868C2semidirect
2. #21437686C2semidirect
3. #21437135C2semidirect
4. #21437133C2semidirect
5. #21436826C2semidirect
6. #21436820C2semidirect
7. #21436322C2semidirect
8. #21436320C2semidirect
9. #21436243C2semidirect
10. #21436241C2semidirect
11. #21436239C2semidirect
12. #21436237C2semidirect
13. #21435710C2semidirect
14. #21435709C2semidirect
15. #21435592C2semidirect
16. #21435591C2semidirect
17. #21435584C2semidirect
18. #21435455C2semidirect
19. #21435453C2semidirect
20. #21435402C2semidirect
21. #21435117C2semidirect
22. #21435110C2semidirect
23. #21435012C2semidirect
24. #21434245C2semidirect
25. #21434240C2semidirect
26. #21434122C2semidirect
27. #21433574C2semidirect
28. #21433573C2semidirect
29. C2×#16837600C2semidirect
30. #21433208C2semidirect
31. C59×#3265C2semidirect
33. C2×#14273754C22semidirect
34. C2×#14273754C22semidirect
35. C2×#14273752C22semidirect
36. C22×#11745671C22semidirect
38. #16838134C22semidirect
39. #16838128C22semidirect
41. #16838123C22semidirect
43. #16838104C22semidirect
45. #16838098C22semidirect
48. #16838071C22semidirect
50. #16838063C22semidirect
66. #16837947C22semidirect
71. #16837938C22semidirect
73. #16837931C22semidirect
74. #41×Dic59C22semidirect
75. C4×#11745689C22semidirect
78. C2×Q8×Dic59C22semidirect
79. #16837792C22semidirect
80. #16837788C22semidirect
81. #16837788C22semidirect
82. #16837777C22semidirect
83. #16837777C22semidirect
84. #16837767C22semidirect
85. #16837766C22semidirect
86. #16837765C22semidirect
87. #16837765C22semidirect
88. #16837747C22semidirect
89. #16837747C22semidirect
90. #16837729C22semidirect
91. #16837727C22semidirect
92. #16837725C22semidirect
93. #16837723C22semidirect
94. #16837721C22semidirect
95. #16837718C22semidirect
96. #16837705C22semidirect
97. #16837704C22semidirect
98. #16837703C22semidirect
99. #16837702C22semidirect
100. #16837685C22semidirect
101. #16837685C22semidirect
102. #16837681C22semidirect
103. #16837681C22semidirect
104. #16837680C22semidirect
105. #16837680C22semidirect
106. #16837655C22semidirect
107. #16837654C22semidirect
108. #16837653C22semidirect
109. #16837652C22semidirect
110. #16837651C22semidirect
111. #16837650C22semidirect
112. #16837645C22semidirect
113. #16837638C22semidirect
114. #16837636C22semidirect
115. #16837636C22semidirect
116. #16837620C22semidirect
117. #16837619C22semidirect
118. #16837614C22semidirect
119. #16837602C22semidirect
120. #16837600C22semidirect
121. #16837600C22semidirect
122. #16837600C22semidirect
123. #16837600C22semidirect
124. #16837600C22semidirect
125. #16837600C22semidirect
126. #16837600C22semidirect
127. #16837600C22semidirect
128. #16837600C22semidirect
129. #16837600C22semidirect
130. #16837600C22semidirect
131. #16837600C22semidirect
132. #16837598C22semidirect
133. #16837596C22semidirect
134. #16837596C22semidirect
135. #16837596C22semidirect
136. #16837596C22semidirect
137. #16837595C22semidirect
138. #16837595C22semidirect
139. #16837595C22semidirect
140. #16837595C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837594C22semidirect
144. #16837552C22semidirect
145. #16837551C22semidirect
146. #16837551C22semidirect
147. #16837550C22semidirect
148. #16837547C22semidirect
149. #16837546C22semidirect
150. #16837541C22semidirect
151. #16837538C22semidirect
152. #16837538C22semidirect
153. #16837536C22semidirect
154. #16837536C22semidirect
155. #16837535C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837531C22semidirect
159. #16837530C22semidirect
160. #16837515C22semidirect
161. #16837514C22semidirect
162. #16837512C22semidirect
163. #16837511C22semidirect
164. #16837505C22semidirect
165. #16837503C22semidirect
166. #16837500C22semidirect
167. SD16×Dic59C22semidirect
168. SD16×Dic59C22semidirect
169. #16837487C22semidirect
170. #16837487C22semidirect
171. #16837478C22semidirect
172. #16837477C22semidirect
173. #16837474C22semidirect
174. #16837473C22semidirect
175. #16837470C22semidirect
176. #16837457C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837425C22semidirect
180. #16837424C22semidirect
181. C2×Dic59⋊C8C22semidirect
182. #16837408C22semidirect
183. #16837407C22semidirect
184. #16837405C22semidirect
185. #16837405C22semidirect
186. C2×#14273649C22semidirect
187. C2×#14273648C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×SD16×C59C22semidirect
190. C59×#548C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#448C22semidirect
200. C59×#447C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
756. Q8×C59H(5,𝔽2)semidirect
828. C2×Dic59AGL(1,ℤ/8)semidirect
950. #3265D59semidirect
982. C2×AGL(1,ℤ/8)C2×D59semidirect
984. C22×SD16C2×D59semidirect
999. #548C2×D59semidirect
1032. #496C2×D59semidirect
1064. #468C2×D59semidirect
1068. #466C2×D59semidirect
1072. #463C2×D59semidirect
1086. #460C2×D59semidirect
1102. #450C2×D59semidirect
1106. #449C2×D59semidirect
1108. #448C2×D59semidirect
1116. #447C2×D59semidirect
1126. #440C2×D59semidirect
1136. #435C2×D59semidirect
1149. C59#61963semidirect
1706. Q8#14273772semidirect

Maximal subgroups

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

subgroupindex
#214378682
#214376862
#214371352
#214371332
#214368262
#214368202
#214363222
#214363202
#214362432
#214362412
#214362392
#214362372
#214357102
#214357092
#214355922
#214355912
#214355842
#214354552
#214354532
#214354022
#214351172
#214351102
#214350122
#214342452
#214342402
#214341222
#214335742
#214335732
C2×#168376002
#214332082
C59×#32652
#6196359