Finite Group Databasebeta

← #29482071

Subgroups — #29482071

Order 15104.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438674C211yesmaximal, characteristic, complemented
2#21438048C211yesmaximal, characteristic, complemented
3#21437179C211yesmaximal, characteristic, complemented
4#21437157C211yesmaximal, characteristic, complemented
5#21436889C211yesmaximal, characteristic, complemented
6#21436809C211yesmaximal, characteristic, complemented
7#21436277C211yesmaximal, characteristic, complemented
8#21436245C211yesmaximal, characteristic, complemented
9#21436164C211yesmaximal, characteristic, complemented
10#21436132C211yesmaximal, characteristic, complemented
11#21436039C211yesmaximal, characteristic, complemented
12#21436019C211yesmaximal, characteristic, complemented
13#21435807C211yesmaximal, characteristic, complemented
14#21435781C211yesmaximal, characteristic, complemented
15#21435630C211yesmaximal, characteristic, complemented
16#21435619C211yesmaximal, characteristic, complemented
17#21435587C211yesmaximal, characteristic, complemented
18#21435515C211yesmaximal, characteristic, complemented
19#21435508C211yesmaximal, characteristic, complemented
20#21435418C211yesmaximal, characteristic, complemented
21#21435201C211yesmaximal, characteristic, complemented
22#21435186C211yesmaximal, characteristic, complemented
23#21435086C211yesmaximal, characteristic, complemented
24#21434342C211yesmaximal, characteristic, complemented
25#21434333C211yesmaximal, characteristic, complemented
26#21434201C211yesmaximal, characteristic, complemented
27#21433610C211yesmaximal, characteristic, complemented
28#21433596C211yesmaximal, characteristic, complemented
29#21433548C211yesmaximal, characteristic, complemented
30#21433231C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273748C2211yescharacteristic, complemented
34C2×#14273746C2211yescharacteristic
35C22×#11745670C2211yescharacteristic, complemented
36#16838149—21no—
37#16838141—21no—
38#16838138C2211yescharacteristic, complemented
39#16838135C2211yescharacteristic, complemented
40#16838122C2211yescharacteristic
41#16838121C2211yescharacteristic, complemented
42#16838116C2211yescharacteristic
43#16838116C2211yescharacteristic, complemented
44#16838099—21no—
45#16838083—21no—
46#16838083—21no—
47#16838078—21no—
48#16838071C2211yescharacteristic, complemented
49D4×Dic118C2211yescharacteristic, complemented
50#16838061C2211yescharacteristic
51#16838058—21no—
52#16838058C2211yescharacteristic, complemented
53#16838054C2211yescharacteristic, complemented
54#16838046—21no—
55#16838046C2211yescharacteristic
56#16838046C2211yescharacteristic, complemented
57#16838046C2211yescharacteristic, complemented
58#16838019C2211yescharacteristic
59#16838019C2211yescharacteristic, complemented
60#16838012C2211yescharacteristic, complemented
61#16838005C2211yescharacteristic, complemented
62#16838002—21no—
63#16837995—21no—
64#16837990—21no—
65#16837987—21no—
66#16837987—21no—
67#16837987—21no—
68#16837973C2211yescharacteristic, complemented
69#16837969C2211yescharacteristic, complemented
70#16837951C2211yescharacteristic, complemented
71#16837950C2211yescharacteristic, complemented
72#16837934C2211yescharacteristic
73#16837934C2211yescharacteristic, complemented
74#16837933—21no—
75C2×#14273714—21no—
76#16837877C2211yescharacteristic
77#16837877C2211yescharacteristic, complemented
78C4×#11745687C2211yescharacteristic, complemented
79#16837793C2211yescharacteristic, complemented
80#16837790C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic, complemented
82#16837785C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837744C2211yescharacteristic, complemented
92#16837740C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837712C2211yescharacteristic, complemented
97#16837704C2211yescharacteristic, complemented
98#16837700C2211yescharacteristic, complemented
99#16837700C2211yescharacteristic, complemented
100#16837698C2211yescharacteristic, complemented
101#16837695C2211yescharacteristic, complemented
102#16837692C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic, complemented
104#16837686C2211yescharacteristic, complemented
105#16837680C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837648C2211yescharacteristic, complemented
108#16837646C2211yescharacteristic
109#16837643C2211yescharacteristic, complemented
110#16837636C2211yescharacteristic, complemented
111#16837635C2211yescharacteristic, complemented
112#16837635C2211yescharacteristic, complemented
113#16837630C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837629C2211yescharacteristic, complemented
116#16837625C2211yescharacteristic, complemented
117#16837623C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic, complemented
123#16837615C2211yescharacteristic
124#16837615C2211yescharacteristic
125#16837615C2211yescharacteristic
126#16837615C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837615C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic, complemented
131#16837611C2211yescharacteristic, complemented
132#16837605C2211yescharacteristic, complemented
133#16837605C2211yescharacteristic, complemented
134#16837605C2211yescharacteristic, complemented
135#16837605C2211yescharacteristic, complemented
136#16837605C2211yescharacteristic, complemented
137#16837601C2211yescharacteristic, complemented
138#16837599C2211yescharacteristic, complemented
139#16837595C2211yescharacteristic
140#16837595C2211yescharacteristic
141#16837595C2211yescharacteristic, complemented
142#16837595C2211yescharacteristic, complemented
143#16837595C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837565C2211yescharacteristic, complemented
146#16837564C2211yescharacteristic, complemented
147#16837560C2211yescharacteristic, complemented
148#16837553C2211yescharacteristic
149#16837553C2211yescharacteristic, complemented
150#16837546C2211yescharacteristic, complemented
151#16837546C2211yescharacteristic, complemented
152#16837545C2211yescharacteristic
153#16837544C2211yescharacteristic
154#16837544C2211yescharacteristic, complemented
155#16837544C2211yescharacteristic, complemented
156#16837540C2211yescharacteristic, complemented
157#16837536C2211yescharacteristic, complemented
158#16837531C2211yescharacteristic, complemented
159#16837530C2211yescharacteristic, complemented
160#16837514C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837510C2211yescharacteristic, complemented
163#16837503C2211yescharacteristic, complemented
164#16837502C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168SD16×Dic59C2211yescharacteristic, complemented
169D8×Dic59C2211yescharacteristic
170#16837482C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic
173#16837471C2211yescharacteristic, complemented
174C8×C22⋊D59C2211yescharacteristic, complemented
175(C22⋊D59)⋊C8C2211yescharacteristic, complemented
176#16837460C2211yescharacteristic, complemented
177#16837460C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837430C2211yescharacteristic, complemented
180#16837428C2211yescharacteristic, complemented
181C4⋊C8×D59C2211yescharacteristic, complemented
182#16837412C2211yescharacteristic, complemented
183#16837407C2211yescharacteristic, complemented
184#16837399C2211yescharacteristic, complemented
185#16837398C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187#16837395C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C22×D8×C59C2211yescharacteristic
190C59×#546C2211yescharacteristic
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic
193C59×#469C2211yescharacteristic
194C59×#465C2211yescharacteristic
195C59×#463C2211yescharacteristic
196C59×#459C2211yescharacteristic
197C59×#450C2211yescharacteristic
198C59×#449C2211yescharacteristic
199C59×#447C2211yescharacteristic
200C59×#447C2211yescharacteristic
201C59×#442C2211yescharacteristic
202C59×#435C2211yescharacteristic
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C22×Dic118—21no—
209C22×Dic118C2311yescharacteristic
210#14273753—42no—
211#14273748—42no—
212#14273746—42no—
213C2×Dic236C2311yescharacteristic
214C2×Dic236C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745670—42no—
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C2×C8×D59C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273726C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273725C2311yescharacteristic
237#14273725C2311yescharacteristic
238#14273723—21no—
239#14273723C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273720—21no—
249#14273720—21no—
250#14273720D411yescharacteristic
251#14273720D411yescharacteristic
252#14273718—21no—
253#14273718D411yescharacteristic
254#14273718C2311yescharacteristic
255#14273717—21no—
256#14273715C2311yescharacteristic
257#14273714—21no—
258#14273714—21no—
259#14273714—21no—
260#14273714—21no—
261#14273714—21no—
262#14273714—21no—
263#14273714—21no—
264#14273714D411yescharacteristic
265#14273714C2311yescharacteristic
266#14273714C2311yescharacteristic
267#14273714C2311yescharacteristic
268#14273714C2311yescharacteristic
269#14273714C2311yescharacteristic
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273713—21no—
275#14273712—21no—
276#14273711—21no—
277#14273710—21no—
278#14273709—21no—
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709D411yescharacteristic
283#14273709D411yescharacteristic
284#14273708—21no—
285#14273708—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273708—21no—
291#14273708—21no—
292#14273708—21no—
293#14273707D411yescharacteristic
294#14273707C2311yescharacteristic
295#14273706—21no—
296#14273706—21no—
297#14273706—21no—
298#14273706C2311yescharacteristic
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273705—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273704—21no—
307#14273704—21no—
308#14273701—21no—
309#14273701C2311yescharacteristic
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273698—21no—
322#14273698—21no—
323#14273698—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698D411yescharacteristic
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273696—21no—
331#14273696—21no—
332#14273696—21no—
333#14273696—21no—
334#14273696—21no—
335Q8×Dic59C2311yescharacteristic
336C4×Dic118C2311yescharacteristic
337C4×Dic118C2311yescharacteristic
338C4×Dic118C2311yescharacteristic
339#14273692—21no—
340#14273692C2311yescharacteristic
341#14273692C2311yescharacteristic
342D4×Dic59—21no—
343D4×Dic59—21no—
344D4×Dic59—21no—
345D4×Dic59—21no—
346D4×Dic59—21no—
347D4×Dic59—21no—
348D4×Dic59—21no—
349D4×Dic59C2311yescharacteristic
350D4×Dic59C2311yescharacteristic
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
354D4×Dic59C2311yescharacteristic
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357#14273689C2311yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59C2311yescharacteristic
363C4×C22⋊D59C2311yescharacteristic
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368#14273686—21no—
369#14273686C2311yescharacteristic
370#14273686C2311yescharacteristic
371#14273686C2311yescharacteristic
372#14273686C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273683—21no—
375#14273683—21no—
376#14273683—21no—
377#14273683—21no—
378C4⋊C4×D59—21no—
379C2×C22⋊Dic59—21no—
380C2×C22⋊Dic59—21no—
381C2×C22⋊Dic59—21no—
382C2×C22⋊Dic59—21no—
383C2×C22⋊Dic59—21no—
384C2×C22⋊Dic59—21no—
385C2×C22⋊Dic59—21no—
386C2×C4×Dic59—21no—
387C42×D59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
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#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
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—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—22no—
491C2×D4×C59—22no—
492C2×D4×C59—21no—
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—41no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59—41no—
505C2×D4×C59—82no—
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
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⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541#11745689—41no—
542#11745689—41no—
543#11745687—22no—
544#11745687—41no—
545#11745687—41no—
546#11745687—41no—
547#11745687—82no—
548#11745685—41no—
549#11745685—41no—
550C2×D236—21no—
551C2×D236C2411yescharacteristic
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59C2×D411yescharacteristic
556C2×C4×D59C2×D411yescharacteristic
557C2×C4×D59C2411yescharacteristic
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118—21no—
562C2×Dic118—41no—
563C2×Dic118—41no—
564C2×Dic118—82no—
565C2×Dic118C2×D411yescharacteristic
566C2×Dic118C2411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569SD16×C59—22no—
570SD16×C59—41no—
571SD16×C59—41no—
572D8×C59—22no—
573D8×C59—22no—
574D8×C59—41no—
575D8×C59—41no—
576D8×C59—41no—
577D8×C59—41no—
578M16×C59—41no—
579C2×C8×C59—41no—
580C2×C8×C59C2411yescharacteristic
581C2×C8×C59C2411yescharacteristic
582C2×C8×C59C2411yescharacteristic
583C2×C8×C59C2411yescharacteristic
584C4⋊C4×C59—21no—
585C4⋊C4×C59C2×D411yescharacteristic
586C4⋊C4×C59C2411yescharacteristic
587C4⋊C4×C59C2411yescharacteristic
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C42×C59C2411yescharacteristic
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605C22⋊Dic59—21no—
606C22⋊Dic59—21no—
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⋊Dic59C2×D411yescharacteristic
626C22⋊Dic59C2×D411yescharacteristic
627C22⋊Dic59C2×D411yescharacteristic
628C22⋊Dic59C2×D411yescharacteristic
629C22⋊Dic59C2×D411yescharacteristic
630C22⋊Dic59C2×D411yescharacteristic
631#11745672—41no—
632#11745670—22no—
633#11745670—22no—
634#11745670—41no—
635#11745670—41no—
636#11745670—41no—
637#11745670—41no—
638#11745670—41no—
639#11745670—41no—
640#11745669—22no—
641#11745669—41no—
642#11745669—41no—
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)⋊C4C2×D411yescharacteristic
650(C2×D59)⋊C4C2×D411yescharacteristic
651C4⋊Dic59—21no—
652C4⋊Dic59—21no—
653C4⋊Dic59—21no—
654C4⋊Dic59—21no—
655C4⋊Dic59C2×D411yescharacteristic
656C4⋊Dic59C2×D411yescharacteristic
657C4⋊Dic59C2×D411yescharacteristic
658C4⋊Dic59C2×D411yescharacteristic
659C4⋊Dic59C2×D411yescharacteristic
660C4⋊Dic59C2411yescharacteristic
661C4⋊Dic59C2411yescharacteristic
662C4⋊Dic59C2411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59—21no—
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—41no—
696C2×C59⋊C8—41no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701Dic236—41no—
702Dic236—41no—
703#11745660—41no—
704C8×D59—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—42no—
712C23×C59—42no—
713C23×C59—81no—
714C23×C59—81no—
715C23×C59—81no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59C22×D411yescharacteristic
721C23×C59C22×D411yescharacteristic
722C22×D59—21no—
723C22×D59C22×D411yescharacteristic
724Q8×C59—21no—
725Q8×C59—21no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—41no—
736D4×C59—42no—
737D4×C59—42no—
738D4×C59—42no—
739D4×C59—81no—
740D4×C59—81no—
741D4×C59—81no—
742D4×C59—81no—
743D4×C59—81no—
744D4×C59—81no—
745D4×C59H(5,𝔽2)12yes—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—42no—
754C2×C4×C59—81no—
755C2×C4×C59—81no—
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C2511yescharacteristic
761C22⋊D59—41no—
762C22⋊D59—41no—
763C22⋊D59—42no—
764C22⋊D59—81no—
765C22⋊D59—81no—
766C22⋊D59—81no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59—81no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—42no—
782C2×Dic59—81no—
783C2×Dic59—81no—
784C2×Dic59—81no—
785C2×Dic59—81no—
786C2×Dic59—81no—
787C2×Dic59—81no—
788C2×Dic59—81no—
789C2×Dic59—81no—
790C2×Dic59—81no—
791C2×Dic59—81no—
792C2×Dic59C22×D411yescharacteristic
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799D236—21no—
800D236—21no—
801D236—81no—
802C4×D59—21no—
803C4×D59—21no—
804C4×D59—41no—
805C4×D59—41no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809Dic118—21no—
810Dic118—21no—
811Dic118—21no—
812Dic118—21no—
813Dic118—21no—
814Dic118—21no—
815Dic118—41no—
816Dic118—42no—
817Dic118—81no—
818Dic118—81no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62011—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—21no—
833C22×C59—22no—
834C22×C59—21no—
835C22×C59—21no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—162no—
851C22×C59—162no—
852C22×C59—162no—
853C22×C59C23×D411yescharacteristic
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59C2×H(5,𝔽2)11yescharacteristic
868C4×C59#58511yescharacteristic
869Dic59—21no—
870Dic59—21no—
871Dic59—21no—
872Dic59—21no—
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3514—591no—
885#3403—591no—
886#3401—591no—
887#3373—591no—
888#3367—591no—
889#3321—591no—
890#3319—591no—
891#3313—591no—
892#3311—591no—
893#3305—591no—
894#3303—591no—
895#3282—591no—
896#3280—591no—
897#3268—591no—
898#3267—591no—
899#3265—591no—
900#3264D5911yescharacteristic, complemented
901#3258—591no—
902#3257—591no—
903#3247—591no—
904#3225—591no—
905#3224—591no—
906#3214—591no—
907#3123—591no—
908#3122—591no—
909#3111—591no—
910#3042—591no—
911#3041—591no—
912#3035—591no—
913#2992—591no—
914C2×C59—41no—
915C2×C59—41no—
916C2×C59—42no—
917C2×C59—81no—
918C2×C59—81no—
919C2×C59—81no—
920C2×C59—81no—
921C2×C59#348811yescharacteristic
922C2×C59#358411yescharacteristic
923C2×C59#358511yescharacteristic
924D59—41no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
928C2×#135—591no—
929C2×#135—591no—
930C22×SD16—591no—
931C22×D8C2×D5911yescharacteristic
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559—591no—
936#556—591no—
937#556—591no—
938#555—591no—
939#555—591no—
940#553—1181no—
941#551—1181no—
942#551—1181no—
943#551—1181no—
944#550—591no—
945D4×Q8—591no—
946#548—591no—
947#548—591no—
948#548—1181no—
949#547—591no—
950#546—591no—
951#546—591no—
952#546—591no—
953#546—1181no—
954#546C2×D5911yescharacteristic
955D42C2×D5911yescharacteristic
956#542—591no—
957#542—591no—
958#541—591no—
959#540—591no—
960#540—1181no—
961#539—1181no—
962#538—1181no—
963#538—1181no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#532—591no—
970#529—591no—
971#529—591no—
972#529—1181no—
973C2×#124—1181no—
974#518—591no—
975#518—591no—
976C4×#41—591no—
977#497—591no—
978#496—591no—
979#496—591no—
980#496C2×D5911yescharacteristic
981#495—591no—
982#495—591no—
983#489—591no—
984#489—591no—
985#489—591no—
986#489—591no—
987#487—591no—
988#486—591no—
989#485—591no—
990#485—591no—
991#485—591no—
992#482—591no—
993#482—591no—
994#482—591no—
995#479—591no—
996#478—591no—
997#478—591no—
998#478—591no—
999#477—591no—
1000#477—591no—
1001#476—591no—
1002#476—591no—
1003#475—591no—
1004#474—591no—
1005#470—591no—
1006#469C2×D5911yescharacteristic
1007#468—591no—
1008#468—591no—
1009#467—591no—
1010#466—591no—
1011#466—591no—
1012#466—591no—
1013#465—591no—
1014#465—591no—
1015#465—591no—
1016#465C2×D5911yescharacteristic
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#464—591no—
1021#464—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463C2×D5911yescharacteristic
1033#462—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461—591no—
1038#461—591no—
1039#460—591no—
1040#460—591no—
1041#459—591no—
1042#459—591no—
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459C2×D5911yescharacteristic
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#451—591no—
1051#450—591no—
1052#450—591no—
1053#450C2×D5911yescharacteristic
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#449—591no—
1060#449C2×D5911yescharacteristic
1061#448—591no—
1062#447—591no—
1063#447C2×D5911yescharacteristic
1064#447C2×D5911yescharacteristic
1065#446—591no—
1066#446—591no—
1067#442—591no—
1068#442—591no—
1069#442C2×D5911yescharacteristic
1070#441—591no—
1071#440—591no—
1072#440—591no—
1073#440—591no—
1074#440—591no—
1075C4×SD16—591no—
1076C4×SD16—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079#435—591no—
1080#435—591no—
1081#435—591no—
1082#435C2×D5911yescharacteristic
1083C8×D4—591no—
1084C8×D4—591no—
1085#433—591no—
1086#433—591no—
1087#432—591no—
1088#424—591no—
1089#424—591no—
1090C2×C4⋊C8—591no—
1091#419—591no—
1092#418—591no—
1093#416—591no—
1094#416—591no—
1095#416—591no—
1096#416—591no—
1097C59#6201111yescharacteristic, complemented, Sylow
1098C2×#41—591no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—591no—
1102C2×#41—1181no—
1103C2×#41C22×D5911yescharacteristic
1104C22×Q8—591no—
1105C22×Q8—1181no—
1106C22×D4—21no—
1107C22×D4C22×D5911yescharacteristic
1108C22×D4C22×D5911yescharacteristic
1109C22×D4C22×D5911yescharacteristic
1110AGL(1,ℤ/8)—42no—
1111AGL(1,ℤ/8)—2362no—
1112#135—2362no—
1113#135—2362no—
1114C2×Q16—591no—
1115C2×Q16—591no—
1116C2×Q16—591no—
1117C2×SD16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—2362no—
1127C2×SD16C22×D5911yescharacteristic
1128C2×SD16C22×D5911yescharacteristic
1129C2×SD16C22×D5911yescharacteristic
1130C2×D8—42no—
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8C22×D5911yescharacteristic
1135C2×D8C22×D5911yescharacteristic
1136C2×D8C22×D5911yescharacteristic
1137C2×D8C22×D5911yescharacteristic
1138C2×D8C22×D5911yescharacteristic
1139C2×D8C22×D5911yescharacteristic
1140C2×M16—591no—
1141C2×M16C22×D5911yescharacteristic
1142C22×C8—591no—
1143C22×C8—591no—
1144C22×C8—591no—
1145C22×C8C22×D5911yescharacteristic
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8—591no—
1149C4⋊Q8—591no—
1150C4⋊Q8—591no—
1151#127—591no—
1152#127—591no—
1153#127—1181no—
1154#127C22×D5911yescharacteristic
1155#126—591no—
1156#126—591no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#125—591no—
1167#125—591no—
1168#125—1181no—
1169#125—1181no—
1170#124—591no—
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124C22×D5911yescharacteristic
1190#123—21no—
1191#123—591no—
1192#123—591no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—591no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8—1181no—
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121C22×D5911yescharacteristic
1250#121C22×D5911yescharacteristic
1251#121C22×D5911yescharacteristic
1252#120—21no—
1253#120—21no—
1254#120—21no—
1255#120—1181no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8—591no—
1265C4×Q8—591no—
1266C4×Q8—1181no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4C22×D5911yescharacteristic
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296#117—591no—
1297#117—591no—
1298#117—591no—
1299#117—591no—
1300#117—591no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305#117—1181no—
1306C2×C4⋊C4—1181no—
1307C2×C22⋊C4—21no—
1308C2×C22⋊C4—1181no—
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C42—591no—
1316C2×C42—1181no—
1317#107—591no—
1318#107—591no—
1319#107—591no—
1320#107—591no—
1321#106—591no—
1322#106—591no—
1323#106—591no—
1324#106C22×D5911yescharacteristic
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8—591no—
1333C4⋊C8—591no—
1334C4⋊C8C22×D5911yescharacteristic
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103C22×D5911yescharacteristic
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102C22×D5911yescharacteristic
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365#102C22×D5911yescharacteristic
1366#102C22×D5911yescharacteristic
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8C22×D5911yescharacteristic
1372C22⋊C8C22×D5911yescharacteristic
1373#97—591no—
1374#97—591no—
1375#97—591no—
1376#97C22×D5911yescharacteristic
1377C4×C8—591no—
1378C4×C8—591no—
1379C24—21no—
1380C24—21no—
1381C24—21no—
1382#41—41no—
1383#41—41no—
1384#41—1182no—
1385#41—4722no—
1386#41—2361no—
1387#41—2361no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—591no—
1394C2×Q8—591no—
1395C2×Q8—591no—
1396C2×Q8—591no—
1397C2×Q8—1181no—
1398C2×Q8—1181no—
1399C2×Q8—1181no—
1400C2×Q8—1181no—
1401C2×Q8—4722no—
1402C2×Q8—2361no—
1403C2×Q8—2361no—
1404C2×Q8C23×D5911yescharacteristic
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—41no—
1417C2×D4—41no—
1418C2×D4—41no—
1419C2×D4—41no—
1420C2×D4—82no—
1421C2×D4—591no—
1422C2×D4—591no—
1423C2×D4—591no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
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×D4D4×D5911yescharacteristic
1437C2×D4C23×D5911yescharacteristic
1438C2×D4C23×D5911yescharacteristic
1439C2×D4C23×D5911yescharacteristic
1440C2×D4C23×D5911yescharacteristic
1441C2×D4C23×D5911yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—591no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4C23×D5911yescharacteristic
1463C22×C4C23×D5911yescharacteristic
1464Q16—2361no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—22no—
1468SD16—41no—
1469SD16—41no—
1470SD16—1182no—
1471SD16—1182no—
1472SD16—2361no—
1473SD16—2361no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—22no—
1480D8—22no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—1182no—
1486D8—2361no—
1487D8—2361no—
1488M16—41no—
1489M16—2361no—
1490C2×C8—41no—
1491C2×C8—591no—
1492C2×C8—591no—
1493C2×C8—591no—
1494C2×C8—591no—
1495C2×C8—2361no—
1496C2×C8—2361no—
1497C2×C8—2361no—
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C2×C8C23×D5911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—591no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4D4×D5911yescharacteristic
1535C4⋊C4C23×D5911yescharacteristic
1536C4⋊C4C23×D5911yescharacteristic
1537C22⋊C4—21no—
1538C22⋊C4—21no—
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—591no—
1546C22⋊C4—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4D4×D5911yescharacteristic
1586C22⋊C4D4×D5911yescharacteristic
1587C42—591no—
1588C42—591no—
1589C42—591no—
1590C42—591no—
1591C42—591no—
1592C42—1181no—
1593C42—1181no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42—1181no—
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—42no—
1607C23—42no—
1608C23—81no—
1609C23—81no—
1610C23—81no—
1611C23—81no—
1612C23—81no—
1613C23—81no—
1614C23—81no—
1615C23—591no—
1616C23—1181no—
1617C23C2×D4×D5911yescharacteristic
1618C23C2×D4×D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—1181no—
1622Q8—1181no—
1623Q8—1181no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—4721no—
1628Q8—4721no—
1629Q8—4721no—
1630Q8—2361no—
1631Q8—2362no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—21no—
1639D4—21no—
1640D4—21no—
1641D4—41no—
1642D4—42no—
1643D4—42no—
1644D4—42no—
1645D4—81no—
1646D4—81no—
1647D4—81no—
1648D4—81no—
1649D4—81no—
1650D4—81no—
1651D4—1181no—
1652D4—1181no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—4721no—
1660D4—4721no—
1661D4—4721no—
1662D4—4721no—
1663D4—4721no—
1664D4—2361no—
1665D4—2361no—
1666D4—2362no—
1667D4#1427377212yes—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—42no—
1676C2×C4—81no—
1677C2×C4—81no—
1678C2×C4—591no—
1679C2×C4—591no—
1680C2×C4—591no—
1681C2×C4—591no—
1682C2×C4—591no—
1683C2×C4—591no—
1684C2×C4—591no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—4721no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—2361no—
1708C2×C4—2361no—
1709C2×C4—2362no—
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C2×D4×D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—21no—
1725C22—22no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—21no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—162no—
1745C22—162no—
1746C22—162no—
1747C22—1181no—
1748C22—1181no—
1749C22—1181no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—1181no—
1762C4—1181no—
1763C4—1181no—
1764C4—1181no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—2361no—
1769C4—2361no—
1770C4—2361no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4C2×#1427377211yescharacteristic
1776C4#1683823711yescharacteristic
1777C2—41no—
1778C2—41no—
1779C2—42no—
1780C2—81no—
1781C2—81no—
1782C2—81no—
1783C2—81no—
1784C2—4721no—
1785C2—2361no—
1786C2#2143775611yescharacteristic
1787C2#2143886411yescharacteristic
1788C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#62011
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. #21438674C2semidirect
2. #21438048C2semidirect
3. #21437179C2semidirect
4. #21437157C2semidirect
5. #21436889C2semidirect
6. #21436809C2semidirect
7. #21436277C2semidirect
8. #21436245C2semidirect
9. #21436164C2semidirect
10. #21436132C2semidirect
11. #21436039C2semidirect
12. #21436019C2semidirect
13. #21435807C2semidirect
14. #21435781C2semidirect
15. #21435630C2semidirect
16. #21435619C2semidirect
17. #21435587C2semidirect
18. #21435515C2semidirect
19. #21435508C2semidirect
20. #21435418C2semidirect
21. #21435201C2semidirect
22. #21435186C2semidirect
23. #21435086C2semidirect
24. #21434342C2semidirect
25. #21434333C2semidirect
26. #21434201C2semidirect
27. #21433610C2semidirect
28. #21433596C2semidirect
29. #21433548C2semidirect
30. #21433231C2semidirect
31. C59×#3264C2semidirect
33. C2×#14273748C22semidirect
35. C22×#11745670C22semidirect
38. #16838138C22semidirect
39. #16838135C22semidirect
41. #16838121C22semidirect
43. #16838116C22semidirect
48. #16838071C22semidirect
49. D4×Dic118C22semidirect
52. #16838058C22semidirect
53. #16838054C22semidirect
56. #16838046C22semidirect
57. #16838046C22semidirect
59. #16838019C22semidirect
60. #16838012C22semidirect
61. #16838005C22semidirect
68. #16837973C22semidirect
69. #16837969C22semidirect
70. #16837951C22semidirect
71. #16837950C22semidirect
73. #16837934C22semidirect
77. #16837877C22semidirect
78. C4×#11745687C22semidirect
79. #16837793C22semidirect
80. #16837790C22semidirect
81. #16837789C22semidirect
82. #16837785C22semidirect
83. #16837785C22semidirect
84. #16837762C22semidirect
85. #16837761C22semidirect
86. #16837760C22semidirect
87. #16837760C22semidirect
88. #16837751C22semidirect
89. #16837747C22semidirect
90. #16837746C22semidirect
91. #16837744C22semidirect
92. #16837740C22semidirect
93. #16837727C22semidirect
94. #16837725C22semidirect
95. #16837723C22semidirect
96. #16837712C22semidirect
97. #16837704C22semidirect
98. #16837700C22semidirect
99. #16837700C22semidirect
100. #16837698C22semidirect
101. #16837695C22semidirect
102. #16837692C22semidirect
103. #16837691C22semidirect
104. #16837686C22semidirect
105. #16837680C22semidirect
106. #16837658C22semidirect
107. #16837648C22semidirect
109. #16837643C22semidirect
110. #16837636C22semidirect
111. #16837635C22semidirect
112. #16837635C22semidirect
113. #16837630C22semidirect
114. #16837630C22semidirect
115. #16837629C22semidirect
116. #16837625C22semidirect
117. #16837623C22semidirect
118. #16837623C22semidirect
119. #16837622C22semidirect
120. #16837621C22semidirect
121. #16837617C22semidirect
122. #16837616C22semidirect
126. #16837615C22semidirect
127. #16837615C22semidirect
128. #16837615C22semidirect
129. #16837615C22semidirect
130. #16837615C22semidirect
131. #16837611C22semidirect
132. #16837605C22semidirect
133. #16837605C22semidirect
134. #16837605C22semidirect
135. #16837605C22semidirect
136. #16837605C22semidirect
137. #16837601C22semidirect
138. #16837599C22semidirect
141. #16837595C22semidirect
142. #16837595C22semidirect
143. #16837595C22semidirect
144. #16837566C22semidirect
145. #16837565C22semidirect
146. #16837564C22semidirect
147. #16837560C22semidirect
149. #16837553C22semidirect
150. #16837546C22semidirect
151. #16837546C22semidirect
154. #16837544C22semidirect
155. #16837544C22semidirect
156. #16837540C22semidirect
157. #16837536C22semidirect
158. #16837531C22semidirect
159. #16837530C22semidirect
160. #16837514C22semidirect
161. #16837511C22semidirect
162. #16837510C22semidirect
163. #16837503C22semidirect
164. #16837502C22semidirect
165. #16837502C22semidirect
166. #16837499C22semidirect
167. #16837493C22semidirect
168. SD16×Dic59C22semidirect
170. #16837482C22semidirect
171. #16837476C22semidirect
173. #16837471C22semidirect
174. C8×C22⋊D59C22semidirect
175. (C22⋊D59)⋊C8C22semidirect
176. #16837460C22semidirect
177. #16837460C22semidirect
178. #16837457C22semidirect
179. #16837430C22semidirect
180. #16837428C22semidirect
181. C4⋊C8×D59C22semidirect
182. #16837412C22semidirect
183. #16837407C22semidirect
184. #16837399C22semidirect
185. #16837398C22semidirect
186. #16837397C22semidirect
187. #16837395C22semidirect
900. #3264D59semidirect
1097. C59#62011semidirect

Maximal subgroups

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

subgroupindex
#214386742
#214380482
#214371792
#214371572
#214368892
#214368092
#214362772
#214362452
#214361642
#214361322
#214360392
#214360192
#214358072
#214357812
#214356302
#214356192
#214355872
#214355152
#214355082
#214354182
#214352012
#214351862
#214350862
#214343422
#214343332
#214342012
#214336102
#214335962
#214335482
#214332312
C59×#32642
#6201159