Finite Group Databasebeta

← #29483827

Subgroups — #29483827

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#21438427C211yesmaximal, characteristic, complemented
2#21438153C211yesmaximal, characteristic, complemented
3#21437157C211yesmaximal, characteristic, complemented
4#21437119C211yesmaximal, characteristic, complemented
5#21436842C211yesmaximal, characteristic, complemented
6#21436804C211yesmaximal, characteristic, complemented
7#21436320C211yesmaximal, characteristic, complemented
8#21436292C211yesmaximal, characteristic, complemented
9#21436241C211yesmaximal, characteristic, complemented
10#21436224C211yesmaximal, characteristic, complemented
11#21436138C211yesmaximal, characteristic, complemented
12#21436117C211yesmaximal, characteristic, complemented
13#21435707C211yesmaximal, characteristic, complemented
14#21435690C211yesmaximal, characteristic, complemented
15#21435632C211yesmaximal, characteristic, complemented
16#21435614C211yesmaximal, characteristic, complemented
17#21435576C211yesmaximal, characteristic, complemented
18#21435536C211yesmaximal, characteristic, complemented
19#21435508C211yesmaximal, characteristic, complemented
20#21435494C211yesmaximal, characteristic, complemented
21#21435186C211yesmaximal, characteristic, complemented
22#21435164C211yesmaximal, characteristic, complemented
23#21435110C211yesmaximal, characteristic, complemented
24#21434333C211yesmaximal, characteristic, complemented
25#21434296C211yesmaximal, characteristic, complemented
26#21434201C211yesmaximal, characteristic, complemented
27#21433639C211yesmaximal, characteristic, complemented
28#21433596C211yesmaximal, characteristic, complemented
29#21433571C211yesmaximal, characteristic, complemented
30#21433262C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic, complemented
33C2×#14273751C2211yescharacteristic, complemented
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273747C2211yescharacteristic, complemented
36#16838141—21no—
37#16838141—21no—
38#16838138C2211yescharacteristic, complemented
39#16838123C2211yescharacteristic, complemented
40#16838121C2211yescharacteristic, complemented
41#16838111C2211yescharacteristic, complemented
42#16838104C2211yescharacteristic, complemented
43#16838095—21no—
44#16838092C2211yescharacteristic, complemented
45#16838089—21no—
46#16838083—21no—
47#16838078—21no—
48#16838073C2211yescharacteristic
49#16838073C2211yescharacteristic, complemented
50#16838051C2211yescharacteristic, complemented
51#16838049—21no—
52#16838049C2211yescharacteristic
53#16838049C2211yescharacteristic, complemented
54#16838046C2211yescharacteristic, complemented
55D4×C22⋊D59—21no—
56D4×C22⋊D59C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic, complemented
58#16838019C2211yescharacteristic, complemented
59#16838012C2211yescharacteristic, complemented
60#16838005—21no—
61#16838005C2211yescharacteristic
62#16838005C2211yescharacteristic, complemented
63#16837996—21no—
64#16837987—21no—
65#16837969—21no—
66#16837969C2211yescharacteristic
67#16837969C2211yescharacteristic, complemented
68#16837962—21no—
69#16837962—21no—
70#127×D59C2211yescharacteristic, complemented
71#16837934C2211yescharacteristic
72#16837934C2211yescharacteristic, complemented
73#16837933—21no—
74#16837931C2211yescharacteristic, complemented
75C2×#14273720—21no—
76#16837885C2211yescharacteristic, complemented
77#16837877C2211yescharacteristic, complemented
78C4×#11745687C2211yescharacteristic, complemented
79#16837793C2211yescharacteristic, complemented
80#16837792C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837785C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837765C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837725C2211yescharacteristic, complemented
93#16837723C2211yescharacteristic, complemented
94#16837721C2211yescharacteristic, complemented
95#16837713C2211yescharacteristic, complemented
96#16837712C2211yescharacteristic, complemented
97#16837710C2211yescharacteristic, complemented
98#16837707C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837704C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837691C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837659C2211yescharacteristic, complemented
107#16837652C2211yescharacteristic
108#16837650C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837646C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837636C2211yescharacteristic, complemented
114#16837631C2211yescharacteristic, complemented
115#16837629C2211yescharacteristic, complemented
116#16837623C2211yescharacteristic, complemented
117#16837622C2211yescharacteristic, complemented
118#16837622C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837616C2211yescharacteristic, complemented
121#16837615C2211yescharacteristic, complemented
122#16837615C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837606C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic, complemented
129#16837603C2211yescharacteristic, complemented
130#16837601C2211yescharacteristic, complemented
131#16837601C2211yescharacteristic, complemented
132#16837600C2211yescharacteristic, complemented
133#16837600C2211yescharacteristic, complemented
134#16837600C2211yescharacteristic, complemented
135#16837599C2211yescharacteristic, complemented
136#16837597C2211yescharacteristic, complemented
137#16837595C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic, complemented
140#16837595C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837566C2211yescharacteristic, complemented
146#16837565C2211yescharacteristic, complemented
147#16837562C2211yescharacteristic, complemented
148#16837553C2211yescharacteristic, complemented
149#16837553C2211yescharacteristic, complemented
150#16837551C2211yescharacteristic, complemented
151#16837551C2211yescharacteristic, complemented
152#16837547C2211yescharacteristic, complemented
153#16837545C2211yescharacteristic, complemented
154#16837544C2211yescharacteristic
155#16837536C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837531C2211yescharacteristic, complemented
159#16837530C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837514C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837510C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167SD16×Dic59C2211yescharacteristic, complemented
168D8×Dic59C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837474C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837460C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837430C2211yescharacteristic, complemented
180#16837428C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837407C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837404C2211yescharacteristic, complemented
186#16837399C2211yescharacteristic, complemented
187C2×#14273648C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic
193C59×#469C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×C22⋊D59—21no—
208C22×C22⋊D59—21no—
209C2×D4×D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213#14273753—42no—
214#14273751—42no—
215#14273751—42no—
216#14273747—42no—
217C2×Dic236C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745664C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C22×C59⋊C8C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273725C2311yescharacteristic
238#14273724C2311yescharacteristic
239#14273723—21no—
240#14273723—21no—
241#14273723—21no—
242#14273723C2311yescharacteristic
243#14273723C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273723C2311yescharacteristic
246#14273722—21no—
247#14273720—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720D411yescharacteristic
258#14273720D411yescharacteristic
259#14273719C2311yescharacteristic
260#14273718—21no—
261#14273718D411yescharacteristic
262#14273718C2311yescharacteristic
263#14273718C2311yescharacteristic
264#14273717—21no—
265#14273717—21no—
266#14273714—21no—
267#14273714—21no—
268#14273714D411yescharacteristic
269#14273714C2311yescharacteristic
270#14273714C2311yescharacteristic
271#14273714C2311yescharacteristic
272#14273714C2311yescharacteristic
273#14273713—21no—
274#14273711—21no—
275#14273711—21no—
276#14273711—21no—
277#14273710—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709—21no—
283#14273709—21no—
284#14273709D411yescharacteristic
285#14273709D411yescharacteristic
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273707D411yescharacteristic
293#14273707C2311yescharacteristic
294#14273706—21no—
295#14273706C2311yescharacteristic
296#14273706C2311yescharacteristic
297#14273704—21no—
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273703C2311yescharacteristic
302#14273701—21no—
303#14273701C2311yescharacteristic
304#14273701C2311yescharacteristic
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#14273698—21no—
317#14273698—21no—
318#14273698—21no—
319#14273698—21no—
320#14273698—21no—
321#14273698—21no—
322#14273698—21no—
323#14273698—21no—
324#14273698D411yescharacteristic
325#14273698C2311yescharacteristic
326#14273698C2311yescharacteristic
327#14273696—21no—
328#14273696—21no—
329#14273696—21no—
330#14273696—21no—
331#14273696—21no—
332#14273696—21no—
333#14273696—21no—
334#14273695—21no—
335#14273695—21no—
336#14273695—21no—
337#14273695—21no—
338Q8×Dic59C2311yescharacteristic
339Q8×Dic59C2311yescharacteristic
340C4×Dic118C2311yescharacteristic
341C4×Dic118C2311yescharacteristic
342C4×Dic118C2311yescharacteristic
343#14273692—21no—
344#14273692C2311yescharacteristic
345D4×Dic59—21no—
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59—21no—
350D4×Dic59—21no—
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357D4×Dic59C2311yescharacteristic
358#14273689—21no—
359#14273689C2311yescharacteristic
360#14273689C2311yescharacteristic
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59C2311yescharacteristic
364C4×C22⋊D59C2311yescharacteristic
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367#14273686—21no—
368#14273686—21no—
369#14273686C2311yescharacteristic
370#14273686C2311yescharacteristic
371#14273686C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273683—21no—
374#14273683—21no—
375#14273683—21no—
376#14273683—21no—
377C2×C4⋊Dic59—21no—
378C2×C4⋊Dic59C2311yescharacteristic
379C2×Dic59⋊C4—21no—
380C2×Dic59⋊C4—21no—
381C2×C22⋊Dic59—21no—
382C2×C22⋊Dic59—21no—
383C2×C22⋊Dic59—21no—
384C22⋊C4×D59—21no—
385C22⋊C4×D59—21no—
386C2×C4×Dic59—21no—
387C42×D59C2311yescharacteristic
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#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
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#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×D4×C59—21no—
441C22×D4×C59C2311yescharacteristic
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444AGL(1,ℤ/8)×C59—42no—
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59—42no—
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456C22×C8×C59C2311yescharacteristic
457#127×C59C2311yescharacteristic
458#124×C59C2311yescharacteristic
459#123×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#120×C59—21no—
467#120×C59—21no—
468#120×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471C4×D4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#106×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481C22⋊C8×C59C2311yescharacteristic
482C22⋊C8×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C24×C59—21no—
487C23×D59—21no—
488C23×D59—21no—
489#41×C59—22no—
490#41×C59—41no—
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—22no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59—41no—
506C2×D4×C59—41no—
507C2×D4×C59—82no—
508C2×D4×C59C2×D411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
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—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—82no—
537C2×C22⋊D59—82no—
538C2×C22⋊D59C2×D411yescharacteristic
539C2×C22⋊D59C2×D411yescharacteristic
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59—21no—
547C22×Dic59—21no—
548C22×Dic59—21no—
549#11745687—22no—
550#11745687—41no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—41no—
554D4×D59—41no—
555D4×D59—82no—
556D4×D59—82no—
557#11745685—41no—
558#11745685—41no—
559#11745685—41no—
560#11745685—41no—
561#11745685—82no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59C2×D411yescharacteristic
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2411yescharacteristic
573C2×Dic118—21no—
574C2×Dic118C2×D411yescharacteristic
575C2×Dic118C2411yescharacteristic
576C2×Dic118C2411yescharacteristic
577SD16×C59—41no—
578SD16×C59—41no—
579SD16×C59—41no—
580D8×C59—22no—
581D8×C59—22no—
582D8×C59—22no—
583D8×C59—41no—
584D8×C59—41no—
585D8×C59—41no—
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×C59C2×D411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C42×C59C2411yescharacteristic
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59C2×D411yescharacteristic
628C22⋊Dic59C2×D411yescharacteristic
629C22⋊Dic59C2×D411yescharacteristic
630C22⋊Dic59C2×D411yescharacteristic
631C22⋊Dic59C2×D411yescharacteristic
632C22⋊Dic59C2×D411yescharacteristic
633#11745672—41no—
634#11745671—41no—
635#11745671—41no—
636#11745670—22no—
637#11745670—41no—
638#11745670—41no—
639#11745670—41no—
640#11745670—41no—
641#11745669—22no—
642#11745669—22no—
643#11745669—41no—
644#11745669—41no—
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)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654C4⋊Dic59—21no—
655C4⋊Dic59—21no—
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59C2×D411yescharacteristic
661C4⋊Dic59C2×D411yescharacteristic
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
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—
699C2×C59⋊C8—41no—
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704Dic236—41no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708#11745659—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—42no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59—81no—
721C23×C59—81no—
722C23×C59—81no—
723C23×C59C22×D411yescharacteristic
724C23×C59C22×D411yescharacteristic
725C22×D59—21no—
726C22×D59—21no—
727C22×D59—42no—
728C22×D59—42no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59C22×D411yescharacteristic
734Q8×C59—21no—
735Q8×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×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—42no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
753D4×C59—81no—
754D4×C59—81no—
755D4×C59H(5,𝔽2)12yes—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—42no—
764C2×C4×C59—42no—
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—81no—
776C22⋊D59—81no—
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—21no—
795C2×Dic59—21no—
796C2×Dic59—42no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59—81no—
800C2×Dic59—81no—
801C2×Dic59—81no—
802C2×Dic59—81no—
803C2×Dic59—81no—
804C2×Dic59—81no—
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809C2×Dic59C22×D411yescharacteristic
810C2×Dic59C22×D411yescharacteristic
811C2×Dic59C22×D411yescharacteristic
812D236—21no—
813D236—21no—
814D236—21no—
815D236—21no—
816D236—42no—
817D236—81no—
818C4×D59—21no—
819C4×D59—21no—
820C4×D59—41no—
821C4×D59—41no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825C4×D59—81no—
826Dic118—21no—
827Dic118—21no—
828Dic118—21no—
829Dic118—21no—
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—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—41no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—162no—
863C22×C59—162no—
864C22×C59—162no—
865C22×C59C23×D411yescharacteristic
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
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×C59C2×H(5,𝔽2)11yescharacteristic
885C4×C59#58511yescharacteristic
886Dic59—21no—
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—21no—
893Dic59—41no—
894Dic59—41no—
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#3267—591no—
915#3264—591no—
916#3264D5911yescharacteristic, complemented
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—81no—
936C2×C59—81no—
937C2×C59#348811yescharacteristic
938C2×C59#358511yescharacteristic
939C2×C59#358511yescharacteristic
940D59—41no—
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×#135—591no—
948C22×D8C2×D5911yescharacteristic, complemented
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#547—591no—
964#546—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968#546C2×D5911yescharacteristic, complemented
969D42—591no—
970D42—591no—
971D42—1181no—
972D42C2×D5911yescharacteristic
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#497—591no—
995#496—591no—
996#496—591no—
997#496C2×D5911yescharacteristic
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#470—591no—
1023#469—591no—
1024#469C2×D5911yescharacteristic, complemented
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#461—591no—
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#459C2×D5911yescharacteristic
1064#452—591no—
1065#452—591no—
1066#452—591no—
1067#452—591no—
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#447C2×D5911yescharacteristic, complemented
1081#447C2×D5911yescharacteristic, complemented
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—591no—
1117C2×#41—591no—
1118C2×#41—1181no—
1119C2×#41C22×D5911yescharacteristic
1120C22×D4—21no—
1121C22×D4—591no—
1122C22×D4—591no—
1123C22×D4—1181no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4C22×D5911yescharacteristic
1128C22×D4C22×D5911yescharacteristic
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—2362no—
1135C2×Q16—591no—
1136C2×Q16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×SD16C22×D5911yescharacteristic
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—42no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8C22×D5911yescharacteristic
1155C2×D8C22×D5911yescharacteristic
1156C2×D8C22×D5911yescharacteristic
1157C2×D8C22×D5911yescharacteristic
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⋊Q8—591no—
1168#127—591no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—591no—
1173#127—1181no—
1174#127—1181no—
1175#127—1181no—
1176#127C22×D5911yescharacteristic
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—591no—
1208#123—591no—
1209#123—1181no—
1210#123—1181no—
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—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—1181no—
1231C22⋊Q8—1181no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
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—1181no—
1244#121—1181no—
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#121C22×D5911yescharacteristic
1264#121C22×D5911yescharacteristic
1265#121C22×D5911yescharacteristic
1266#120—21no—
1267#120—21no—
1268#120—21no—
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—591no—
1323C2×C4⋊C4—1181no—
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#103—591no—
1358#103—591no—
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#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
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—21no—
1398C24—21no—
1399C24—1181no—
1400C24—1181no—
1401#41—22no—
1402#41—41no—
1403#41—1182no—
1404#41—4722no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408#41—2361no—
1409#41—2361no—
1410C2×Q8—591no—
1411C2×Q8—591no—
1412C2×Q8—591no—
1413C2×Q8—1181no—
1414C2×Q8C23×D5911yescharacteristic
1415C2×D4—22no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—82no—
1431C2×D4—591no—
1432C2×D4—591no—
1433C2×D4—591no—
1434C2×D4—591no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
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—1181no—
1453C2×D4—1181no—
1454C2×D4—4722no—
1455C2×D4—4722no—
1456C2×D4—4722no—
1457C2×D4—4722no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4D4×D5911yescharacteristic
1463C2×D4C23×D5911yescharacteristic
1464C2×D4C23×D5911yescharacteristic
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—591no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—1181no—
1475C22×C4—1181no—
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—2361no—
1490Q16—2361no—
1491SD16—41no—
1492SD16—41no—
1493SD16—41no—
1494SD16—1182no—
1495SD16—2361no—
1496SD16—2361no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503D8—22no—
1504D8—22no—
1505D8—22no—
1506D8—41no—
1507D8—41no—
1508D8—41no—
1509D8—1182no—
1510D8—1182no—
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—591no—
1529C4⋊C4—591no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
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—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
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—21no—
1625C23—21no—
1626C23—42no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—81no—
1631C23—81no—
1632C23—81no—
1633C23—81no—
1634C23—81no—
1635C23—591no—
1636C23—1181no—
1637C23—1181no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23—4721no—
1642C23—2362no—
1643C23—2362no—
1644C23C2×D4×D5911yescharacteristic
1645C23C2×D4×D5911yescharacteristic
1646Q8—21no—
1647Q8—21no—
1648Q8—1181no—
1649Q8—1181no—
1650Q8—1181no—
1651Q8—1181no—
1652Q8—4721no—
1653Q8—2361no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—21no—
1663D4—41no—
1664D4—42no—
1665D4—42no—
1666D4—42no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—1181no—
1674D4—1181no—
1675D4—1181no—
1676D4—1181no—
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—4721no—
1693D4—2362no—
1694D4—2361no—
1695D4—2361no—
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—42no—
1707C2×C4—42no—
1708C2×C4—81no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—4721no—
1725C2×C4—4721no—
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—2361no—
1737C2×C4—2361no—
1738C2×C4—2362no—
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—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—162no—
1774C22—162no—
1775C22—162no—
1776C22—1181no—
1777C22—1181no—
1778C22—1181no—
1779C22—9442no—
1780C22—9442no—
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—1181no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—1181no—
1801C4—1181no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4—2361no—
1807C4—2361no—
1808C4C2×#1427377211yescharacteristic
1809C4#1683823711yescharacteristic
1810C2—41no—
1811C2—41no—
1812C2—42no—
1813C2—81no—
1814C2—81no—
1815C2—81no—
1816C2—81no—
1817C2—4721no—
1818C2—4721no—
1819C2—2361no—
1820C2#2143775611yescharacteristic
1821C2#2143887111yescharacteristic
1822C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#62079
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #21438427C2semidirect
2. #21438153C2semidirect
3. #21437157C2semidirect
4. #21437119C2semidirect
5. #21436842C2semidirect
6. #21436804C2semidirect
7. #21436320C2semidirect
8. #21436292C2semidirect
9. #21436241C2semidirect
10. #21436224C2semidirect
11. #21436138C2semidirect
12. #21436117C2semidirect
13. #21435707C2semidirect
14. #21435690C2semidirect
15. #21435632C2semidirect
16. #21435614C2semidirect
17. #21435576C2semidirect
18. #21435536C2semidirect
19. #21435508C2semidirect
20. #21435494C2semidirect
21. #21435186C2semidirect
22. #21435164C2semidirect
23. #21435110C2semidirect
24. #21434333C2semidirect
25. #21434296C2semidirect
26. #21434201C2semidirect
27. #21433639C2semidirect
28. #21433596C2semidirect
29. #21433571C2semidirect
30. #21433262C2semidirect
31. C59×#3264C2semidirect
32. C2×#14273753C22semidirect
33. C2×#14273751C22semidirect
34. C2×#14273751C22semidirect
35. C2×#14273747C22semidirect
38. #16838138C22semidirect
39. #16838123C22semidirect
40. #16838121C22semidirect
41. #16838111C22semidirect
42. #16838104C22semidirect
44. #16838092C22semidirect
49. #16838073C22semidirect
50. #16838051C22semidirect
53. #16838049C22semidirect
54. #16838046C22semidirect
57. D4×C22⋊D59C22semidirect
58. #16838019C22semidirect
59. #16838012C22semidirect
62. #16838005C22semidirect
67. #16837969C22semidirect
70. #127×D59C22semidirect
72. #16837934C22semidirect
74. #16837931C22semidirect
76. #16837885C22semidirect
77. #16837877C22semidirect
78. C4×#11745687C22semidirect
79. #16837793C22semidirect
80. #16837792C22semidirect
81. #16837790C22semidirect
82. #16837785C22semidirect
83. #16837773C22semidirect
84. #16837767C22semidirect
85. #16837766C22semidirect
86. #16837765C22semidirect
87. #16837760C22semidirect
88. #16837755C22semidirect
89. #16837747C22semidirect
90. #16837746C22semidirect
91. #16837727C22semidirect
92. #16837725C22semidirect
93. #16837723C22semidirect
94. #16837721C22semidirect
95. #16837713C22semidirect
96. #16837712C22semidirect
97. #16837710C22semidirect
98. #16837707C22semidirect
99. #16837704C22semidirect
100. #16837704C22semidirect
101. #16837702C22semidirect
102. #16837701C22semidirect
103. #16837700C22semidirect
104. #16837691C22semidirect
105. #16837680C22semidirect
106. #16837659C22semidirect
108. #16837650C22semidirect
109. #16837648C22semidirect
110. #16837647C22semidirect
111. #16837646C22semidirect
112. #16837645C22semidirect
113. #16837636C22semidirect
114. #16837631C22semidirect
115. #16837629C22semidirect
116. #16837623C22semidirect
117. #16837622C22semidirect
118. #16837622C22semidirect
119. #16837621C22semidirect
120. #16837616C22semidirect
121. #16837615C22semidirect
122. #16837615C22semidirect
123. #16837615C22semidirect
124. #16837615C22semidirect
125. #16837615C22semidirect
126. #16837615C22semidirect
127. #16837606C22semidirect
128. #16837605C22semidirect
129. #16837603C22semidirect
130. #16837601C22semidirect
131. #16837601C22semidirect
132. #16837600C22semidirect
133. #16837600C22semidirect
134. #16837600C22semidirect
135. #16837599C22semidirect
136. #16837597C22semidirect
137. #16837595C22semidirect
138. #16837595C22semidirect
139. #16837595C22semidirect
140. #16837595C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837595C22semidirect
144. #16837566C22semidirect
145. #16837566C22semidirect
146. #16837565C22semidirect
147. #16837562C22semidirect
148. #16837553C22semidirect
149. #16837553C22semidirect
150. #16837551C22semidirect
151. #16837551C22semidirect
152. #16837547C22semidirect
153. #16837545C22semidirect
155. #16837536C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837531C22semidirect
159. #16837530C22semidirect
160. #16837514C22semidirect
161. #16837514C22semidirect
162. #16837511C22semidirect
163. #16837510C22semidirect
164. #16837505C22semidirect
165. #16837502C22semidirect
166. #16837502C22semidirect
167. SD16×Dic59C22semidirect
168. D8×Dic59C22semidirect
169. #16837482C22semidirect
170. #16837482C22semidirect
171. #16837478C22semidirect
172. #16837477C22semidirect
173. #16837474C22semidirect
174. #16837473C22semidirect
175. #16837470C22semidirect
176. #16837460C22semidirect
177. #16837460C22semidirect
178. #16837457C22semidirect
179. #16837430C22semidirect
180. #16837428C22semidirect
181. #16837424C22semidirect
182. #16837407C22semidirect
183. #16837405C22semidirect
184. #16837405C22semidirect
185. #16837404C22semidirect
186. #16837399C22semidirect
187. C2×#14273648C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×D8×C59C22semidirect
190. C59×#546C22semidirect
193. C59×#469C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#447C22semidirect
200. C59×#447C22semidirect
201. C59×#442C22semidirect
202. C59×#435C22semidirect
916. #3264D59semidirect
946. C2×AGL(1,ℤ/8)C2×D59semidirect
948. C22×D8C2×D59semidirect
968. #546C2×D59semidirect
1024. #469C2×D59semidirect
1033. #465C2×D59semidirect
1045. #463C2×D59semidirect
1072. #450C2×D59semidirect
1076. #449C2×D59semidirect
1080. #447C2×D59semidirect
1081. #447C2×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
#214384272
#214381532
#214371572
#214371192
#214368422
#214368042
#214363202
#214362922
#214362412
#214362242
#214361382
#214361172
#214357072
#214356902
#214356322
#214356142
#214355762
#214355362
#214355082
#214354942
#214351862
#214351642
#214351102
#214343332
#214342962
#214342012
#214336392
#214335962
#214335712
#214332622
C59×#32642
#6207959