Finite Group Databasebeta

← #29483849

Subgroups — #29483849

Order 15104.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438428C211yesmaximal, characteristic, complemented
2#21438165C211yesmaximal, characteristic, complemented
3#21437161C211yesmaximal, characteristic, complemented
4#21437115C211yesmaximal, characteristic, complemented
5#21436853C211yesmaximal, characteristic, complemented
6#21436804C211yesmaximal, characteristic, complemented
7#21436320C211yesmaximal, characteristic, complemented
8#21436297C211yesmaximal, characteristic, complemented
9#21436239C211yesmaximal, characteristic, complemented
10#21436215C211yesmaximal, characteristic, complemented
11#21436127C211yesmaximal, characteristic, complemented
12#21436123C211yesmaximal, characteristic, complemented
13#21435700C211yesmaximal, characteristic, complemented
14#21435696C211yesmaximal, characteristic, complemented
15#21435636C211yesmaximal, characteristic, complemented
16#21435579C211yesmaximal, characteristic, complemented
17#21435570C211yesmaximal, characteristic, complemented
18#21435539C211yesmaximal, characteristic, complemented
19#21435510C211yesmaximal, characteristic, complemented
20#21435498C211yesmaximal, characteristic, complemented
21#21435196C211yesmaximal, characteristic, complemented
22#21435163C211yesmaximal, characteristic, complemented
23#21435117C211yesmaximal, characteristic, complemented
24#21434338C211yesmaximal, characteristic, complemented
25#21434296C211yesmaximal, characteristic, complemented
26#21434206C211yesmaximal, characteristic, complemented
27#21433633C211yesmaximal, characteristic, complemented
28#21433597C211yesmaximal, characteristic, complemented
29#21433574C211yesmaximal, characteristic, complemented
30#21433267C211yesmaximal, characteristic, complemented
31C59×#3267C211yesmaximal, characteristic, complemented
32C2×#14273754C2211yescharacteristic, complemented
33C2×#14273752C2211yescharacteristic, complemented
34C2×#14273752C2211yescharacteristic, complemented
35C2×D8×D59C2211yescharacteristic, complemented
36#16838142—21no—
37#16838140—21no—
38#16838134C2211yescharacteristic, complemented
39#16838126C2211yescharacteristic, complemented
40#16838123C2211yescharacteristic, complemented
41#16838111C2211yescharacteristic, complemented
42#16838098C2211yescharacteristic, complemented
43#16838095—21no—
44#16838094C2211yescharacteristic, complemented
45#16838087—21no—
46#16838075—21no—
47#16838075—21no—
48#16838073C2211yescharacteristic, complemented
49#16838071C2211yescharacteristic
50#16838043C2211yescharacteristic
51#16838042—21no—
52#16838040C2211yescharacteristic, complemented
53#16838040C2211yescharacteristic, complemented
54D4×D236C2211yescharacteristic, complemented
55#16838036C2211yescharacteristic
56D4×C22⋊D59C2211yescharacteristic
57#16838034—21no—
58#16838025C2211yescharacteristic, complemented
59#16838013C2211yescharacteristic, complemented
60#16838005C2211yescharacteristic, complemented
61#16838004—21no—
62#16838003C2211yescharacteristic
63#16837996—21no—
64#16837989—21no—
65#16837970C2211yescharacteristic
66#16837968—21no—
67#16837966C2211yescharacteristic, complemented
68#16837964—21no—
69#16837962—21no—
70C2×#14273723C2211yescharacteristic, complemented
71#16837938C2211yescharacteristic, complemented
72#16837938C2211yescharacteristic, complemented
73#16837932C2211yescharacteristic
74#16837929—21no—
75C2×#14273722—21no—
76#16837885C2211yescharacteristic, complemented
77#16837874C2211yescharacteristic, complemented
78#41×Dic59C2211yescharacteristic, complemented
79#16837788C2211yescharacteristic
80#16837788C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic, complemented
82#16837787C2211yescharacteristic, complemented
83#16837776C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837756C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837728C2211yescharacteristic, complemented
92#16837727C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837721C2211yescharacteristic, complemented
95#16837713C2211yescharacteristic, complemented
96#16837711C2211yescharacteristic, complemented
97#16837707C2211yescharacteristic, complemented
98#16837707C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837701C2211yescharacteristic, complemented
104#16837691C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837655C2211yescharacteristic
107#16837653C2211yescharacteristic, complemented
108#16837651C2211yescharacteristic, complemented
109#16837650C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic, complemented
115#16837628C2211yescharacteristic, complemented
116#16837626C2211yescharacteristic, complemented
117#16837626C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837620C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837619C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837604C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic, complemented
130#16837600C2211yescharacteristic, complemented
131#16837600C2211yescharacteristic, complemented
132#16837600C2211yescharacteristic, complemented
133#16837600C2211yescharacteristic, complemented
134#16837600C2211yescharacteristic, complemented
135#16837598C2211yescharacteristic, complemented
136#16837597C2211yescharacteristic, complemented
137#16837596C2211yescharacteristic, complemented
138#16837596C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic
140#16837595C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837563C2211yescharacteristic, complemented
145#16837563C2211yescharacteristic, complemented
146#16837552C2211yescharacteristic, complemented
147#16837552C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837551C2211yescharacteristic, complemented
150#16837547C2211yescharacteristic
151#16837547C2211yescharacteristic, complemented
152#16837547C2211yescharacteristic, complemented
153#16837538C2211yescharacteristic, complemented
154#16837538C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837530C2211yescharacteristic, complemented
159#16837529C2211yescharacteristic, complemented
160#16837515C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837509C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837505C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168C4×#11745669C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837480C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837456C2211yescharacteristic, complemented
179#16837428C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837425C2211yescharacteristic, complemented
182#16837408C2211yescharacteristic, complemented
183#16837407C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837403C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×#135×C59C2211yescharacteristic, complemented
190C59×#547C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#497C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×C22⋊D59—21no—
208C22×C22⋊D59—21no—
209C22×C22⋊D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214#14273754—42no—
215#14273752—42no—
216#14273752—42no—
217C2×#11745671C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232D8×D59—42no—
233C2×#11745664C2311yescharacteristic
234C2×#11745664C2311yescharacteristic
235C2×#11745659C2311yescharacteristic
236C2×C8×D59C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273724C2311yescharacteristic
239#14273723—21no—
240#14273723—21no—
241#14273723—21no—
242#14273723C2311yescharacteristic
243#14273723C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273723C2311yescharacteristic
246#14273723C2311yescharacteristic
247#14273722—21no—
248#14273722—21no—
249#14273722—21no—
250#14273722—21no—
251#14273722—21no—
252#14273722—21no—
253#14273722—21no—
254#14273722—21no—
255#14273722—21no—
256#14273722—21no—
257#14273722D411yescharacteristic
258#14273720—21no—
259#14273720D411yescharacteristic
260#14273719C2311yescharacteristic
261#14273718—21no—
262#14273718C2311yescharacteristic
263#14273718C2311yescharacteristic
264#14273717—21no—
265#14273717—21no—
266#14273717D411yescharacteristic
267#14273716C2311yescharacteristic
268#14273716C2311yescharacteristic
269#14273716C2311yescharacteristic
270#14273716C2311yescharacteristic
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713D411yescharacteristic
275#14273712—21no—
276#14273711—21no—
277#14273711—21no—
278#14273711—21no—
279#14273711—21no—
280#14273711—21no—
281#14273711D411yescharacteristic
282#14273710—21no—
283#14273710—21no—
284#14273710—21no—
285#14273709—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273709—21no—
290#14273708D411yescharacteristic
291#14273707—21no—
292#14273707—21no—
293#14273706—21no—
294#14273704—21no—
295#14273704—21no—
296#14273704D411yescharacteristic
297#14273703C2311yescharacteristic
298#14273703C2311yescharacteristic
299#14273702—21no—
300#14273702—21no—
301#14273702C2311yescharacteristic
302#14273701—21no—
303#14273701—21no—
304#14273701—21no—
305#14273701—21no—
306#14273701—21no—
307#14273701C2311yescharacteristic
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273701C2311yescharacteristic
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699D411yescharacteristic
323#14273698—21no—
324#14273698—21no—
325#14273698C2311yescharacteristic
326#14273697—21no—
327#14273697—21no—
328#14273697—21no—
329#14273697—21no—
330#14273697—21no—
331#14273697—21no—
332#14273696—21no—
333#14273695—21no—
334#14273695—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338#14273695—21no—
339Q8×Dic59C2311yescharacteristic
340Q8×Dic59C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342Q8×Dic59C2311yescharacteristic
343Q8×Dic59C2311yescharacteristic
344C4×Dic118C2311yescharacteristic
345#14273692—21no—
346C4×D236C2311yescharacteristic
347C4×D236C2311yescharacteristic
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59—21no—
351D4×Dic59—21no—
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356#14273689C2311yescharacteristic
357#14273689C2311yescharacteristic
358#14273689C2311yescharacteristic
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#14273686—21no—
369#14273686—21no—
370#14273686C2311yescharacteristic
371#14273686C2311yescharacteristic
372#14273685—21no—
373#14273685—21no—
374#14273685—21no—
375#14273685C2311yescharacteristic
376#14273684C2311yescharacteristic
377#14273683—21no—
378C2×C4⋊Dic59—21no—
379C2×C4⋊Dic59C2311yescharacteristic
380C2×Dic59⋊C4—21no—
381C2×(C2×D59)⋊C4—21no—
382C2×(C2×D59)⋊C4—21no—
383C2×(C2×D59)⋊C4—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C2×C4×Dic59—21no—
387C2×C4×Dic59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443AGL(1,ℤ/8)×C59—42no—
444#135×C59—42no—
445C2×Q16×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59C2311yescharacteristic
457#124×C59C2311yescharacteristic
458#123×C59—21no—
459#123×C59—21no—
460#123×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464#121×C59—21no—
465#121×C59—21no—
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471C2×C4⋊C4×C59—21no—
472C2×C22⋊C4×C59—21no—
473#106×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C23×D59—21no—
488C23×D59—21no—
489#41×C59—22no—
490#41×C59—22no—
491#41×C59—41no—
492#41×C59—41no—
493#41×C59—41no—
494#41×C59—41no—
495C2×Q8×C59C2411yescharacteristic
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—41no—
504C2×D4×C59—41no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
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—82no—
534C2×C22⋊D59—82no—
535C2×C22⋊D59—82no—
536C2×C22⋊D59C2×D411yescharacteristic
537C2×C22⋊D59C2×D411yescharacteristic
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59C2×D411yescharacteristic
544C22×Dic59C2×D411yescharacteristic
545#11745689—41no—
546#11745689—41no—
547D4×D59—22no—
548D4×D59—41no—
549D4×D59—41no—
550D4×D59—41no—
551D4×D59—82no—
552D4×D59—82no—
553#11745685—82no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—41no—
561C2×D236—41no—
562C2×D236—41no—
563C2×D236—41no—
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×D236C2411yescharacteristic
567C2×D236C2411yescharacteristic
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59C2411yescharacteristic
575C2×Dic118—21no—
576C2×Dic118C2×D411yescharacteristic
577Q16×C59—41no—
578Q16×C59—41no—
579SD16×C59—22no—
580SD16×C59—41no—
581SD16×C59—41no—
582SD16×C59—41no—
583SD16×C59—41no—
584D8×C59—22no—
585D8×C59—22no—
586M16×C59—41no—
587C2×C8×C59—41no—
588C2×C8×C59C2411yescharacteristic
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59—21no—
597C4⋊C4×C59C2×D411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C4⋊C4×C59C2411yescharacteristic
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59C2×D411yescharacteristic
609C22⋊C4×C59C2×D411yescharacteristic
610C42×C59C2411yescharacteristic
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59C2×D411yescharacteristic
618C22⋊Dic59C2×D411yescharacteristic
619C22⋊Dic59C2×D411yescharacteristic
620C22⋊Dic59C2×D411yescharacteristic
621#11745671—41no—
622#11745671—41no—
623#11745671—41no—
624#11745671—41no—
625#11745671—41no—
626#11745671—41no—
627#11745671—41no—
628#11745669—22no—
629#11745669—22no—
630#11745669—22no—
631#11745669—41no—
632#11745669—41no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59C2×D411yescharacteristic
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2×D411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C4×Dic59C2411yescharacteristic
698#11745664—41no—
699#11745664—41no—
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704D472—41no—
705D472—41no—
706D472—41no—
707#11745659—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—42no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59C22×D411yescharacteristic
716C23×C59C22×D411yescharacteristic
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59C22×D411yescharacteristic
734Q8×C59—21no—
735Q8×C59—21no—
736Q8×C59—21no—
737Q8×C59—21no—
738Q8×C59—21no—
739Q8×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—21no—
744D4×C59—21no—
745D4×C59—41no—
746D4×C59—42no—
747D4×C59—42no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59H(5,𝔽2)12yes—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—42no—
762C2×C4×C59—42no—
763C2×C4×C59—81no—
764C2×C4×C59—81no—
765C2×C4×C59—81no—
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C2511yescharacteristic
771C22⋊D59—41no—
772C22⋊D59—41no—
773C22⋊D59—42no—
774C22⋊D59—42no—
775C22⋊D59—42no—
776C22⋊D59—42no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—41no—
795C2×Dic59—41no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59—81no—
800C2×Dic59—81no—
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808D236—21no—
809D236—21no—
810D236—21no—
811D236—21no—
812D236—21no—
813D236—21no—
814D236—21no—
815D236—21no—
816D236—81no—
817D236—81no—
818D236—81no—
819D236—81no—
820D236—81no—
821D236—81no—
822C4×D59—21no—
823C4×D59—21no—
824C4×D59—42no—
825C4×D59—81no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829C4×D59—81no—
830Dic118—41no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62079—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—22no—
846C22×C59—21no—
847C22×C59—21no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—162no—
857C22×C59C23×D411yescharacteristic
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—21no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—162no—
874C2×D59—162no—
875C2×D59—162no—
876C2×D59—162no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—21no—
881C4×C59—41no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59—41no—
885C4×C59—41no—
886C4×C59C2×H(5,𝔽2)11yescharacteristic
887C4×C59#58511yescharacteristic
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898Dic59—41no—
899#3543—591no—
900#3521—591no—
901#3401—591no—
902#3397—591no—
903#3370—591no—
904#3366—591no—
905#3324—591no—
906#3322—591no—
907#3318—591no—
908#3317—591no—
909#3311—591no—
910#3310—591no—
911#3273—591no—
912#3272—591no—
913#3268—591no—
914#3267D5911yescharacteristic, complemented
915#3264—591no—
916#3264—591no—
917#3260—591no—
918#3257—591no—
919#3256—591no—
920#3224—591no—
921#3222—591no—
922#3217—591no—
923#3122—591no—
924#3119—591no—
925#3111—591no—
926#3045—591no—
927#3041—591no—
928#3038—591no—
929#2995—591no—
930C2×C59—41no—
931C2×C59—41no—
932C2×C59—42no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59#348811yescharacteristic
936C2×C59#358511yescharacteristic
937C2×C59#358511yescharacteristic
938D59—41no—
939D59—81no—
940D59—81no—
941D59—81no—
942D59—81no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)—591no—
945C2×AGL(1,ℤ/8)—591no—
946C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
947C2×#135C2×D5911yescharacteristic, complemented
948C22×D8—591no—
949#560—1181no—
950#560—1181no—
951#559—591no—
952#556—591no—
953#556—591no—
954#554—591no—
955#553—591no—
956#553—1181no—
957#552—591no—
958#552—1181no—
959#551—1181no—
960#551—1181no—
961#550—591no—
962#550—591no—
963#547C2×D5911yescharacteristic, complemented
964#546—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546C2×D5911yescharacteristic, complemented
969D42—591no—
970D42—591no—
971D42—591no—
972D42—1181no—
973#542—591no—
974#541—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#539—1181no—
979#538—1181no—
980#535—591no—
981#535—591no—
982#535—1181no—
983#534—1181no—
984#534—1181no—
985C2×#127—591no—
986#529—591no—
987#529—591no—
988#529—591no—
989#529—1181no—
990C2×#126—1181no—
991#520—591no—
992#518—591no—
993C4×#41—591no—
994#497C2×D5911yescharacteristic, complemented
995#496—591no—
996#496—591no—
997#496—591no—
998#495—591no—
999#492—591no—
1000#490—591no—
1001#490—591no—
1002#490—591no—
1003#489—591no—
1004#488—591no—
1005#486—591no—
1006#485—591no—
1007#482—591no—
1008#482—591no—
1009#482—591no—
1010#481—591no—
1011#480—591no—
1012#479—591no—
1013#479—591no—
1014#479—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#478—591no—
1020#476—591no—
1021#474—591no—
1022#470C2×D5911yescharacteristic, complemented
1023#469—591no—
1024#469—591no—
1025#468—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#468—591no—
1030#466—591no—
1031#465—591no—
1032#465—591no—
1033#465C2×D5911yescharacteristic, complemented
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463C2×D5911yescharacteristic, complemented
1046#461—591no—
1047#461C2×D5911yescharacteristic, complemented
1048#460—591no—
1049#460—591no—
1050#460—591no—
1051#460—591no—
1052#460—591no—
1053#460—591no—
1054#460—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459—591no—
1060#459—591no—
1061#459—591no—
1062#459—591no—
1063#459—591no—
1064#452—591no—
1065#452—591no—
1066#452C2×D5911yescharacteristic, complemented
1067#452C2×D5911yescharacteristic, complemented
1068#450—591no—
1069#450—591no—
1070#450—591no—
1071#450—591no—
1072#450C2×D5911yescharacteristic, complemented
1073#449—591no—
1074#449—591no—
1075#449—591no—
1076#449C2×D5911yescharacteristic, complemented
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#447—591no—
1082#446—591no—
1083#446—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442C2×D5911yescharacteristic, complemented
1088#441—591no—
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092C4×SD16—591no—
1093C4×D8—591no—
1094C4×D8—591no—
1095C4×D8—591no—
1096#436—591no—
1097#436—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#435C2×D5911yescharacteristic, complemented
1102#433—591no—
1103#433—591no—
1104#432—591no—
1105#424—591no—
1106#424—591no—
1107#423—591no—
1108#418—591no—
1109#418—591no—
1110#418—591no—
1111#417—591no—
1112#416—591no—
1113C2×#102—591no—
1114C59#6207911yescharacteristic, complemented, Sylow
1115C2×#41—591no—
1116C2×#41—1181no—
1117C2×#41C22×D5911yescharacteristic
1118C2×#41C22×D5911yescharacteristic
1119C2×#41C22×D5911yescharacteristic
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4—1181no—
1128C22×D4—1181no—
1129C22×D4C22×D5911yescharacteristic
1130AGL(1,ℤ/8)—42no—
1131AGL(1,ℤ/8)—2362no—
1132AGL(1,ℤ/8)—2362no—
1133AGL(1,ℤ/8)—2362no—
1134#135—42no—
1135C2×Q16C22×D5911yescharacteristic
1136C2×Q16C22×D5911yescharacteristic
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16C22×D5911yescharacteristic
1145C2×SD16C22×D5911yescharacteristic
1146C2×SD16C22×D5911yescharacteristic
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—2362no—
1158C2×D8C22×D5911yescharacteristic
1159C2×D8C22×D5911yescharacteristic
1160C2×M16—591no—
1161C2×M16—591no—
1162C2×M16—591no—
1163C2×M16C22×D5911yescharacteristic
1164C22×C8—591no—
1165C22×C8C22×D5911yescharacteristic
1166C4⋊Q8—591no—
1167C4⋊Q8C22×D5911yescharacteristic
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—591no—
1174#127—1181no—
1175#127—1181no—
1176#127—1181no—
1177#126—591no—
1178#126—591no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#126—1181no—
1186#126—1181no—
1187#126—1181no—
1188#126—1181no—
1189#126—1181no—
1190#125—591no—
1191#125—591no—
1192#125—591no—
1193#125—591no—
1194#125—1181no—
1195#125—1181no—
1196#125—1181no—
1197#124—591no—
1198#124—591no—
1199#124—591no—
1200#124—591no—
1201#124—591no—
1202#124—1181no—
1203#124—1181no—
1204#124—1181no—
1205#124C22×D5911yescharacteristic
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—591no—
1210#123—591no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8C22×D5911yescharacteristic
1234C22⋊Q8C22×D5911yescharacteristic
1235C22⋊Q8C22×D5911yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—591no—
1242#121—591no—
1243#121—591no—
1244#121—591no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121C22×D5911yescharacteristic
1266#120—21no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—591no—
1286C4×Q8—1181no—
1287C4×D4—591no—
1288C4×D4—591no—
1289C4×D4—591no—
1290C4×D4—591no—
1291C4×D4—591no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4C22×D5911yescharacteristic
1310C4×D4C22×D5911yescharacteristic
1311C4×D4C22×D5911yescharacteristic
1312#117—591no—
1313#117—591no—
1314#117—591no—
1315#117—591no—
1316#117—1181no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322C2×C4⋊C4—21no—
1323C2×C4⋊C4—591no—
1324C2×C4⋊C4—1181no—
1325C2×C4⋊C4—1181no—
1326C2×C22⋊C4—21no—
1327C2×C22⋊C4—1181no—
1328C2×C22⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C22⋊C4—1181no—
1332C2×C42—591no—
1333C2×C42—1181no—
1334#107—591no—
1335#107—591no—
1336#107—591no—
1337#107—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341#106C22×D5911yescharacteristic
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8—591no—
1350C4⋊C8—591no—
1351C4⋊C8C22×D5911yescharacteristic
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383#102C22×D5911yescharacteristic
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8C22×D5911yescharacteristic
1389C22⋊C8C22×D5911yescharacteristic
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97C22×D5911yescharacteristic
1394C4×C8—591no—
1395C4×C8—591no—
1396C24—21no—
1397C24—1181no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401#41—22no—
1402#41—22no—
1403#41—41no—
1404#41—41no—
1405#41—41no—
1406#41—41no—
1407#41—4722no—
1408#41—2361no—
1409#41—2361no—
1410C2×Q8—591no—
1411C2×Q8—1181no—
1412C2×Q8C23×D5911yescharacteristic
1413C2×Q8C23×D5911yescharacteristic
1414C2×Q8C23×D5911yescharacteristic
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1182no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—4722no—
1453C2×D4—4722no—
1454C2×D4—4722no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4D4×D5911yescharacteristic
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4C23×D5911yescharacteristic
1488C22×C4C23×D5911yescharacteristic
1489Q16—41no—
1490Q16—41no—
1491SD16—22no—
1492SD16—41no—
1493SD16—41no—
1494SD16—41no—
1495SD16—41no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503D8—22no—
1504D8—22no—
1505D8—1182no—
1506D8—1182no—
1507D8—1182no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513M16—41no—
1514M16—2361no—
1515M16—2361no—
1516M16—2361no—
1517C2×C8—41no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8C23×D5911yescharacteristic
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4D4×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C4⋊C4C23×D5911yescharacteristic
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4D4×D5911yescharacteristic
1607C22⋊C4D4×D5911yescharacteristic
1608C42—591no—
1609C42—591no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42—1181no—
1620C42C23×D5911yescharacteristic
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—42no—
1625C23—81no—
1626C23—81no—
1627C23—591no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—4721no—
1642C23—2362no—
1643C23—2362no—
1644C23C2×D4×D5911yescharacteristic
1645C23C2×D4×D5911yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—21no—
1649Q8—21no—
1650Q8—21no—
1651Q8—21no—
1652Q8—4721no—
1653Q8—2361no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—41no—
1660D4—42no—
1661D4—42no—
1662D4—81no—
1663D4—81no—
1664D4—81no—
1665D4—1181no—
1666D4—1181no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—4721no—
1674D4—4721no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—2361no—
1693D4—2361no—
1694D4—2362no—
1695D4—2362no—
1696D4—2362no—
1697D4—2362no—
1698D4#1427377212yes—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—42no—
1709C2×C4—42no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—591no—
1717C2×C4—591no—
1718C2×C4—591no—
1719C2×C4—591no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—4721no—
1734C2×C4—4721no—
1735C2×C4—4721no—
1736C2×C4—2362no—
1737C2×C4—2361no—
1738C2×C4—2361no—
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C2×D4×D5911yescharacteristic
1743C2×C4C24×D5911yescharacteristic
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—21no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C8—1181no—
1752C22—21no—
1753C22—21no—
1754C22—22no—
1755C22—21no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—162no—
1768C22—1181no—
1769C22—1181no—
1770C22—1181no—
1771C22—9442no—
1772C22—9442no—
1773C22—9442no—
1774C22—9442no—
1775C22—2361no—
1776C22—2361no—
1777C22—2361no—
1778C22—2361no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22C22×D4×D5911yescharacteristic
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—41no—
1796C4—41no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—1181no—
1803C4—1181no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4C2×#1427377211yescharacteristic
1809C4#1683823711yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—42no—
1813C2—81no—
1814C2—81no—
1815C2—4721no—
1816C2—4721no—
1817C2—4721no—
1818C2—4721no—
1819C2—2361no—
1820C2#2143775611yescharacteristic
1821C2#2143887311yescharacteristic
1822C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3267C2
socleC22×C59C23×D4
hypercenter#3267D59
hypocenterC59#62079
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #21438428C2semidirect
2. #21438165C2semidirect
3. #21437161C2semidirect
4. #21437115C2semidirect
5. #21436853C2semidirect
6. #21436804C2semidirect
7. #21436320C2semidirect
8. #21436297C2semidirect
9. #21436239C2semidirect
10. #21436215C2semidirect
11. #21436127C2semidirect
12. #21436123C2semidirect
13. #21435700C2semidirect
14. #21435696C2semidirect
15. #21435636C2semidirect
16. #21435579C2semidirect
17. #21435570C2semidirect
18. #21435539C2semidirect
19. #21435510C2semidirect
20. #21435498C2semidirect
21. #21435196C2semidirect
22. #21435163C2semidirect
23. #21435117C2semidirect
24. #21434338C2semidirect
25. #21434296C2semidirect
26. #21434206C2semidirect
27. #21433633C2semidirect
28. #21433597C2semidirect
29. #21433574C2semidirect
30. #21433267C2semidirect
31. C59×#3267C2semidirect
32. C2×#14273754C22semidirect
33. C2×#14273752C22semidirect
34. C2×#14273752C22semidirect
35. C2×D8×D59C22semidirect
38. #16838134C22semidirect
39. #16838126C22semidirect
40. #16838123C22semidirect
41. #16838111C22semidirect
42. #16838098C22semidirect
44. #16838094C22semidirect
48. #16838073C22semidirect
52. #16838040C22semidirect
53. #16838040C22semidirect
54. D4×D236C22semidirect
58. #16838025C22semidirect
59. #16838013C22semidirect
60. #16838005C22semidirect
67. #16837966C22semidirect
70. C2×#14273723C22semidirect
71. #16837938C22semidirect
72. #16837938C22semidirect
76. #16837885C22semidirect
77. #16837874C22semidirect
78. #41×Dic59C22semidirect
80. #16837788C22semidirect
81. #16837788C22semidirect
82. #16837787C22semidirect
83. #16837776C22semidirect
84. #16837767C22semidirect
85. #16837765C22semidirect
86. #16837765C22semidirect
87. #16837763C22semidirect
88. #16837756C22semidirect
89. #16837747C22semidirect
90. #16837740C22semidirect
91. #16837728C22semidirect
92. #16837727C22semidirect
93. #16837725C22semidirect
94. #16837721C22semidirect
95. #16837713C22semidirect
96. #16837711C22semidirect
97. #16837707C22semidirect
98. #16837707C22semidirect
99. #16837704C22semidirect
100. #16837703C22semidirect
101. #16837702C22semidirect
102. #16837701C22semidirect
103. #16837701C22semidirect
104. #16837691C22semidirect
105. #16837680C22semidirect
107. #16837653C22semidirect
108. #16837651C22semidirect
109. #16837650C22semidirect
110. #16837650C22semidirect
111. #16837650C22semidirect
112. #16837645C22semidirect
113. #16837638C22semidirect
114. #16837634C22semidirect
115. #16837628C22semidirect
116. #16837626C22semidirect
117. #16837626C22semidirect
118. #16837626C22semidirect
119. #16837626C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837620C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837619C22semidirect
126. #16837614C22semidirect
127. #16837604C22semidirect
128. #16837600C22semidirect
129. #16837600C22semidirect
130. #16837600C22semidirect
131. #16837600C22semidirect
132. #16837600C22semidirect
133. #16837600C22semidirect
134. #16837600C22semidirect
135. #16837598C22semidirect
136. #16837597C22semidirect
137. #16837596C22semidirect
138. #16837596C22semidirect
140. #16837595C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837595C22semidirect
144. #16837563C22semidirect
145. #16837563C22semidirect
146. #16837552C22semidirect
147. #16837552C22semidirect
148. #16837551C22semidirect
149. #16837551C22semidirect
151. #16837547C22semidirect
152. #16837547C22semidirect
153. #16837538C22semidirect
154. #16837538C22semidirect
155. #16837537C22semidirect
156. #16837536C22semidirect
157. #16837534C22semidirect
158. #16837530C22semidirect
159. #16837529C22semidirect
160. #16837515C22semidirect
161. #16837514C22semidirect
162. #16837511C22semidirect
163. #16837509C22semidirect
164. #16837505C22semidirect
165. #16837505C22semidirect
166. #16837503C22semidirect
167. SD16×Dic59C22semidirect
168. C4×#11745669C22semidirect
169. C4×#11745669C22semidirect
170. #16837482C22semidirect
171. #16837480C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837473C22semidirect
175. #16837471C22semidirect
176. #16837464C22semidirect
177. #16837460C22semidirect
178. #16837456C22semidirect
179. #16837428C22semidirect
180. #16837427C22semidirect
181. #16837425C22semidirect
182. #16837408C22semidirect
183. #16837407C22semidirect
184. #16837405C22semidirect
185. #16837403C22semidirect
186. #16837397C22semidirect
187. C2×#14273649C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×#135×C59C22semidirect
190. C59×#547C22semidirect
191. C59×#546C22semidirect
192. C59×#497C22semidirect
193. C59×#470C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
196. C59×#461C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#450C22semidirect
200. C59×#449C22semidirect
201. C59×#442C22semidirect
202. C59×#435C22semidirect
914. #3267D59semidirect
946. C2×AGL(1,ℤ/8)C2×D59semidirect
947. C2×#135C2×D59semidirect
963. #547C2×D59semidirect
968. #546C2×D59semidirect
994. #497C2×D59semidirect
1022. #470C2×D59semidirect
1033. #465C2×D59semidirect
1045. #463C2×D59semidirect
1047. #461C2×D59semidirect
1066. #452C2×D59semidirect
1067. #452C2×D59semidirect
1072. #450C2×D59semidirect
1076. #449C2×D59semidirect
1087. #442C2×D59semidirect
1101. #435C2×D59semidirect
1114. C59#62079semidirect

Maximal subgroups

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

subgroupindex
#214384282
#214381652
#214371612
#214371152
#214368532
#214368042
#214363202
#214362972
#214362392
#214362152
#214361272
#214361232
#214357002
#214356962
#214356362
#214355792
#214355702
#214355392
#214355102
#214354982
#214351962
#214351632
#214351172
#214343382
#214342962
#214342062
#214336332
#214335972
#214335742
#214332672
C59×#32672
#6207959