Finite Group Databasebeta

← #29470436

Subgroups — #29470436

Order 15104.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437701C211yesmaximal, characteristic, complemented
2#21437697C211yesmaximal, characteristic, complemented
3#21437181C211yesmaximal, characteristic, complemented
4#21437055C211yesmaximal, characteristic, complemented
5#21436846C211yesmaximal, characteristic, complemented
6#21436842C211yesmaximal, characteristic, complemented
7#21436697C211yesmaximal, characteristic, complemented
8#21436587C211yesmaximal, characteristic, complemented
9#21436583C211yesmaximal, characteristic, complemented
10#21436301C211yesmaximal, characteristic, complemented
11#21436290C211yesmaximal, characteristic, complemented
12#21436241C211yesmaximal, characteristic, complemented
13#21436237C211yesmaximal, characteristic, complemented
14#21436181C211yesmaximal, characteristic, complemented
15#21436177C211yesmaximal, characteristic, complemented
16#21435701C211yesmaximal, characteristic, complemented
17#21435576C211yesmaximal, characteristic, complemented
18#21434688C211yesmaximal, characteristic, complemented
19#21434686C211yesmaximal, characteristic, complemented
20#21434659C211yesmaximal, characteristic, complemented
21#21434144C211yesmaximal, characteristic, complemented
22#21434138C211yesmaximal, characteristic, complemented
23#21434111C211yesmaximal, characteristic, complemented
24#21434107C211yesmaximal, characteristic, complemented
25#21434095C211yesmaximal, characteristic, complemented
26#21434091C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29AGL(1,ℤ/8)×Dic59C211yesmaximal, characteristic, complemented
30C2×D8×Dic59C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic
33#16838138C2211yescharacteristic, complemented
34#16838134C2211yescharacteristic, complemented
35#16838111C2211yescharacteristic, complemented
36#16838110C2211yescharacteristic, complemented
37#16838109C2211yescharacteristic, complemented
38#16838109C2211yescharacteristic, complemented
39#16838104—21no—
40#16838104C2211yescharacteristic
41#16838104C2211yescharacteristic, complemented
42#16838099C2211yescharacteristic, complemented
43#16838098C2211yescharacteristic
44#16838095—21no—
45#16838083—21no—
46#16838083—21no—
47#16838078—21no—
48#16838075—21no—
49#16838046—21no—
50#16838046C2211yescharacteristic
51#16838046C2211yescharacteristic, complemented
52#16838040C2211yescharacteristic, complemented
53#16838039—21no—
54D4×C22⋊D59C2211yescharacteristic, complemented
55#16837950C2211yescharacteristic, complemented
56#16837947C2211yescharacteristic, complemented
57#16837938C2211yescharacteristic, complemented
58#16837933—21no—
59#16837933C2211yescharacteristic, complemented
60#16837933C2211yescharacteristic, complemented
61#16837931C2211yescharacteristic, complemented
62#16837929—21no—
63#16837912—21no—
64#16837908—21no—
65#16837908—21no—
66#16837908—21no—
67#41×Dic59C2211yescharacteristic, complemented
68C4×#11745687C2211yescharacteristic
69C4×#11745687C2211yescharacteristic, complemented
70C2×D4×Dic59—21no—
71C2×D4×Dic59C2211yescharacteristic, complemented
72C2×D4×Dic59C2211yescharacteristic, complemented
73C2×D4×Dic59C2211yescharacteristic, complemented
74C2×(C22⋊D59)⋊C4—21no—
75C4×D4×D59C2211yescharacteristic, complemented
76#16837811C2211yescharacteristic, complemented
77#16837809C2211yescharacteristic, complemented
78#16837802C2211yescharacteristic, complemented
79#16837790C2211yescharacteristic, complemented
80#16837783C2211yescharacteristic, complemented
81#16837766C2211yescharacteristic, complemented
82#16837765C2211yescharacteristic, complemented
83#16837761C2211yescharacteristic, complemented
84#16837760C2211yescharacteristic, complemented
85#16837758C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837738C2211yescharacteristic, complemented
90#16837735C2211yescharacteristic, complemented
91#16837725C2211yescharacteristic, complemented
92#16837723C2211yescharacteristic, complemented
93#16837721C2211yescharacteristic, complemented
94#16837718C2211yescharacteristic, complemented
95#16837716C2211yescharacteristic, complemented
96#16837714C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837711C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837702C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic, complemented
106#16837700C2211yescharacteristic, complemented
107#16837683C2211yescharacteristic, complemented
108#16837682C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837680C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837652C2211yescharacteristic, complemented
113#16837652C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837646C2211yescharacteristic, complemented
116#16837645C2211yescharacteristic, complemented
117#16837645C2211yescharacteristic, complemented
118#16837641C2211yescharacteristic, complemented
119#16837636C2211yescharacteristic
120#16837631C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837615C2211yescharacteristic, complemented
126#16837615C2211yescharacteristic, complemented
127#16837615C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic
129#16837595C2211yescharacteristic, complemented
130#16837594C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic, complemented
133#16837553C2211yescharacteristic, complemented
134#16837544C2211yescharacteristic
135#16837536C2211yescharacteristic
136#16837536C2211yescharacteristic, complemented
137#16837534C2211yescharacteristic, complemented
138#16837534C2211yescharacteristic, complemented
139#16837531C2211yescharacteristic, complemented
140#16837530C2211yescharacteristic, complemented
141#16837514C2211yescharacteristic
142#16837514C2211yescharacteristic, complemented
143#16837512C2211yescharacteristic, complemented
144#16837504C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837503C2211yescharacteristic, complemented
147#16837502C2211yescharacteristic, complemented
148#16837494C2211yescharacteristic, complemented
149#16837493C2211yescharacteristic, complemented
150#16837493C2211yescharacteristic, complemented
151SD16×Dic59C2211yescharacteristic, complemented
152SD16×Dic59C2211yescharacteristic, complemented
153SD16×Dic59C2211yescharacteristic, complemented
154#16837489C2211yescharacteristic, complemented
155D8×Dic59C2211yescharacteristic
156D8×Dic59C2211yescharacteristic
157D8×Dic59C2211yescharacteristic, complemented
158D8×Dic59C2211yescharacteristic, complemented
159D8×Dic59C2211yescharacteristic, complemented
160D8×Dic59C2211yescharacteristic, complemented
161D8×Dic59C2211yescharacteristic, complemented
162D8×Dic59C2211yescharacteristic, complemented
163D8×Dic59C2211yescharacteristic, complemented
164D8×Dic59C2211yescharacteristic, complemented
165#16837482C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic, complemented
168#16837478C2211yescharacteristic, complemented
169#16837477C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173#16837454C2211yescharacteristic, complemented
174#16837452C2211yescharacteristic, complemented
175#16837452C2211yescharacteristic, complemented
176#16837444C2211yescharacteristic, complemented
177#16837441C2211yescharacteristic, complemented
178C2×#14273661C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837403C2211yescharacteristic, complemented
182#16837400C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic, complemented
184C2×#14273648C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C22×D8×C59C2211yescharacteristic
190C59×#546C2211yescharacteristic
191D42×C59C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#469C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic
199C59×#447C2211yescharacteristic
200C59×#447C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic
202C59×#435C2211yescharacteristic, complemented
203C2×#11745687—21no—
204C2×#11745687—21no—
205C2×#11745687D411yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×C22⋊D59—21no—
208C2×D4×D59C2311yescharacteristic
209C23×Dic59—21no—
210C23×Dic59—21no—
211C23×Dic59—21no—
212C22×C4×D59—21no—
213#14273751—24no—
214C2×#11745672C2311yescharacteristic
215C2×#11745660C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745669C2311yescharacteristic
219C2×#11745669C2311yescharacteristic
220C2×#11745669C2311yescharacteristic
221C2×#11745664C2311yescharacteristic
222C2×#11745659C2311yescharacteristic
223C2×#11745659C2311yescharacteristic
224C22×C59⋊C8C2311yescharacteristic
225#14273727C2311yescharacteristic
226#14273726C2311yescharacteristic
227#14273723C2311yescharacteristic
228#14273722—21no—
229#14273722—21no—
230#14273720—21no—
231#14273720—21no—
232#14273720—21no—
233#14273720—21no—
234#14273720—21no—
235#14273720—21no—
236#14273719C2311yescharacteristic
237#14273718—21no—
238#14273718C2311yescharacteristic
239#14273718C2311yescharacteristic
240#14273718C2311yescharacteristic
241#14273717—21no—
242#14273716C2311yescharacteristic
243#14273714—21no—
244#14273714—21no—
245#14273714C2311yescharacteristic
246#14273714C2311yescharacteristic
247#14273713—21no—
248#14273713—21no—
249#14273711—21no—
250#14273711—21no—
251#14273711—21no—
252#14273711—21no—
253#14273710—21no—
254#14273709—21no—
255#14273709—21no—
256#14273709—21no—
257#14273708—21no—
258#14273708—21no—
259#14273708—21no—
260#14273708—21no—
261#14273708—21no—
262#14273708—21no—
263#14273708—21no—
264#14273707—21no—
265#14273706—21no—
266#14273706—21no—
267#14273706C2311yescharacteristic
268#14273706C2311yescharacteristic
269#14273704—21no—
270#14273704—21no—
271#14273704—21no—
272#14273704—21no—
273#14273704—21no—
274#14273704—21no—
275#14273704—21no—
276#14273703C2311yescharacteristic
277#14273701C2311yescharacteristic
278#14273701C2311yescharacteristic
279#14273699—21no—
280#14273699—21no—
281#14273699—21no—
282#14273699—21no—
283#14273699—21no—
284#14273699—21no—
285#14273699—21no—
286#14273699—21no—
287#14273698—21no—
288#14273698—21no—
289#14273698C2311yescharacteristic
290#14273698C2311yescharacteristic
291#14273698C2311yescharacteristic
292#14273696—21no—
293#14273696—21no—
294#14273696—21no—
295#14273695—21no—
296#14273695—21no—
297Q8×Dic59C2311yescharacteristic
298Q8×Dic59C2311yescharacteristic
299C4×Dic118C2311yescharacteristic
300C4×Dic118C2311yescharacteristic
301#14273692D411yescharacteristic
302#14273692C2311yescharacteristic
303C4×D236C2311yescharacteristic
304D4×Dic59—21no—
305D4×Dic59—21no—
306D4×Dic59—21no—
307D4×Dic59—21no—
308D4×Dic59—21no—
309D4×Dic59—21no—
310D4×Dic59—21no—
311D4×Dic59—21no—
312D4×Dic59—21no—
313D4×Dic59—21no—
314D4×Dic59—21no—
315D4×Dic59—21no—
316D4×Dic59—21no—
317D4×Dic59—21no—
318D4×Dic59—21no—
319D4×Dic59D411yescharacteristic
320D4×Dic59C2311yescharacteristic
321D4×Dic59C2311yescharacteristic
322D4×Dic59C2311yescharacteristic
323D4×Dic59C2311yescharacteristic
324D4×Dic59C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330D4×Dic59C2311yescharacteristic
331D4×Dic59C2311yescharacteristic
332#14273689C2311yescharacteristic
333C4×C22⋊D59—21no—
334C4×C22⋊D59—21no—
335C4×C22⋊D59C2311yescharacteristic
336C4×C22⋊D59C2311yescharacteristic
337(C22⋊D59)⋊C4—21no—
338(C22⋊D59)⋊C4—21no—
339(C22⋊D59)⋊C4—21no—
340(C22⋊D59)⋊C4—21no—
341(C22⋊D59)⋊C4—21no—
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4D411yescharacteristic
347(C22⋊D59)⋊C4D411yescharacteristic
348#14273686—21no—
349#14273686C2311yescharacteristic
350#14273685—21no—
351#14273685D411yescharacteristic
352#14273685C2311yescharacteristic
353#14273683—21no—
354#14273683—21no—
355#14273683—21no—
356#14273683—21no—
357#14273683D411yescharacteristic
358#14273683D411yescharacteristic
359C2×C4⋊Dic59—21no—
360C2×C4⋊Dic59C2311yescharacteristic
361C2×C4⋊Dic59C2311yescharacteristic
362C2×C4⋊Dic59C2311yescharacteristic
363C2×Dic59⋊C4—21no—
364C4⋊C4×D59C2311yescharacteristic
365C2×C22⋊Dic59—21no—
366C2×C22⋊Dic59—21no—
367C2×C22⋊Dic59—21no—
368C2×C22⋊Dic59—21no—
369C2×C22⋊Dic59—21no—
370C2×(C2×D59)⋊C4—21no—
371C22⋊C4×D59—21no—
372C2×C4×Dic59—21no—
373C2×C4×Dic59—21no—
374C2×C4×Dic59C2311yescharacteristic
375C2×C4×Dic59C2311yescharacteristic
376C42×D59C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273661C2311yescharacteristic
382#14273661C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392C4⋊(C59⋊C8)C2311yescharacteristic
393Dic59⋊C8C2311yescharacteristic
394Dic59⋊C8C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397#14273652C2311yescharacteristic
398#14273652C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273651C2311yescharacteristic
401#14273651C2311yescharacteristic
402#14273651C2311yescharacteristic
403#14273650C2311yescharacteristic
404#14273649C2311yescharacteristic
405#14273649C2311yescharacteristic
406#14273649C2311yescharacteristic
407#14273648C2311yescharacteristic
408#14273648C2311yescharacteristic
409#14273648C2311yescharacteristic
410#14273648C2311yescharacteristic
411#14273648C2311yescharacteristic
412#14273648C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423C22⋊(C59⋊C8)C2311yescharacteristic
424C22⋊(C59⋊C8)C2311yescharacteristic
425(C2×D59)⋊C8C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427#14273638C2311yescharacteristic
428#14273637C2311yescharacteristic
429#14273637C2311yescharacteristic
430C8×Dic59C2311yescharacteristic
431C8×Dic59C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C2×#41×C59C2311yescharacteristic
437C22×D4×C59—21no—
438C22×D4×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440C22×D4×C59C2311yescharacteristic
441AGL(1,ℤ/8)×C59—24no—
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×D8×C59—24no—
446C2×D8×C59C2311yescharacteristic
447C2×D8×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454#127×C59C2311yescharacteristic
455#124×C59C2311yescharacteristic
456#123×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458#121×C59—21no—
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#120×C59—21no—
464#120×C59—21no—
465#120×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C4×D4×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C24×C59—21no—
483C24×C59—21no—
484C23×D59—21no—
485#41×C59—22no—
486#41×C59—41no—
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—22no—
489C2×D4×C59—22no—
490C2×D4×C59—22no—
491C2×D4×C59—21no—
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—41no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59—44no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—44no—
525C2×C22⋊D59C2×D411yescharacteristic
526C2×C22⋊D59C2×D411yescharacteristic
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
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—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—82no—
544C22×Dic59—82no—
545C22×Dic59—82no—
546C22×Dic59C2×D411yescharacteristic
547C22×Dic59C2×D411yescharacteristic
548C22×Dic59C2×D411yescharacteristic
549C22×Dic59C2×D411yescharacteristic
550#11745687—22no—
551#11745687—41no—
552#11745687—42no—
553#11745687—82no—
554#11745687—82no—
555D4×D59—22no—
556D4×D59—41no—
557C2×D236C2411yescharacteristic
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—82no—
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×Dic118—21no—
566C2×Dic118—21no—
567C2×Dic118C2×D411yescharacteristic
568C2×Dic118C2411yescharacteristic
569SD16×C59—22no—
570SD16×C59—22no—
571SD16×C59—41no—
572D8×C59—22no—
573D8×C59—22no—
574D8×C59—22no—
575D8×C59—22no—
576D8×C59—41no—
577D8×C59#4114yescomplemented
578M16×C59—22no—
579C2×C8×C59—22no—
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⋊Dic59C2×D411yescharacteristic
622C22⋊Dic59C2×D411yescharacteristic
623#11745672—41no—
624#11745670—22no—
625#11745670—41no—
626#11745669—22no—
627#11745669—41no—
628#11745669—41no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4C2×D411yescharacteristic
638(C2×D59)⋊C4C2×D411yescharacteristic
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59C2×D411yescharacteristic
649C4⋊Dic59C2411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669Dic59⋊C4C2×D411yescharacteristic
670Dic59⋊C4C2×D411yescharacteristic
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2×D411yescharacteristic
681C4×Dic59C2×D411yescharacteristic
682C4×Dic59C2×D411yescharacteristic
683C4×Dic59C2411yescharacteristic
684C4×Dic59C2411yescharacteristic
685C4×Dic59C2411yescharacteristic
686#11745664—41no—
687C2×C59⋊C8—41no—
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692#11745660—22no—
693#11745659—22no—
694#11745659—41no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—21no—
698C23×C59—21no—
699C23×C59—21no—
700C23×C59—42no—
701C23×C59—42no—
702C23×C59—42no—
703C23×C59—42no—
704C23×C59—42no—
705C23×C59—42no—
706C23×C59—81no—
707C23×C59—81no—
708C23×C59—81no—
709C23×C59C22×D411yescharacteristic
710C23×C59C22×D411yescharacteristic
711C22×D59—21no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—81no—
715C22×D59C22×D411yescharacteristic
716Q8×C59—21no—
717Q8×C59—21no—
718D4×C59—22no—
719D4×C59—21no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—21no—
723D4×C59—21no—
724D4×C59—21no—
725D4×C59—21no—
726D4×C59—21no—
727D4×C59—42no—
728D4×C59—42no—
729D4×C59—42no—
730D4×C59—42no—
731D4×C59—42no—
732D4×C59—42no—
733D4×C59—42no—
734D4×C59—81no—
735D4×C59—81no—
736D4×C59C2×#4112yes—
737D4×C59C2×#4112yes—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—42no—
746C2×C4×C59—42no—
747C2×C4×C59—81no—
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C2511yescharacteristic
753C22⋊D59—22no—
754C22⋊D59—41no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C2×Dic59—22no—
765C2×Dic59—22no—
766C2×Dic59—22no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—41no—
775C2×Dic59—42no—
776C2×Dic59—42no—
777C2×Dic59—42no—
778C2×Dic59—42no—
779C2×Dic59—42no—
780C2×Dic59—42no—
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×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798D236—21no—
799D236—21no—
800C4×D59—21no—
801C4×D59—21no—
802C4×D59—22no—
803C4×D59—41no—
804C4×D59—42no—
805C4×D59—81no—
806C4×D59—81no—
807Dic118—21no—
808Dic118—21no—
809Dic118—41no—
810Dic118—81no—
811Dic118—81no—
812C8×C59—21no—
813C8×C59—21no—
814C8×C59—21no—
815C8×C59C2×#4112yes—
816C59⋊C8—21no—
817C59⋊C8—21no—
818C59⋊C8—21no—
819C59⋊C8—21no—
820#61444—591nomaximal, Sylow
821C22×C59—21no—
822C22×C59—21no—
823C22×C59—22no—
824C22×C59—22no—
825C22×C59—21no—
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—84no—
842C22×C59—84no—
843C22×C59—84no—
844C22×C59#57512yes—
845C22×C59C23×D411yescharacteristic
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—21no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—84no—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59C22×#4111yescharacteristic
861C4×C59#58511yescharacteristic
862Dic59—21no—
863Dic59—21no—
864Dic59—21no—
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—41no—
869Dic59—41no—
870Dic59—41no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59#57612yes—
876#3481—591no—
877#3481—591no—
878#3403—591no—
879#3389—591no—
880#3370—591no—
881#3370—591no—
882#3355—591no—
883#3346—591no—
884#3346—591no—
885#3322—591no—
886#3322—591no—
887#3318—591no—
888#3318—591no—
889#3314—591no—
890#3314—591no—
891#3273—591no—
892#3264—591no—
893#3264D5911yescharacteristic, complemented
894#3171—591no—
895#3171—591no—
896#3168—591no—
897#3105—591no—
898#3105—591no—
899#3102—591no—
900#3102—591no—
901#3100—591no—
902#3100—591no—
903#2965—591no—
904C4×AGL(1,ℤ/8)—591no—
905C4×AGL(1,ℤ/8)—591no—
906C2×C4×D8—591no—
907C2×C59—22no—
908C2×C59—42no—
909C2×C59—41no—
910C2×C59—42no—
911C2×C59—81no—
912C2×C59—81no—
913C2×C59—81no—
914C2×C59D4×#4111yescharacteristic
915C2×C59C2×#57511yescharacteristic
916C2×C59C2×#57611yescharacteristic
917D59—41no—
918D59—81no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
921C22×D8C2×D5911yescharacteristic
922#559—591no—
923#559—591no—
924#554—591no—
925#554—591no—
926#554—591no—
927#554—591no—
928#553—591no—
929#553—591no—
930#553—591no—
931#553—591no—
932#553—1181no—
933#553—1181no—
934#551—1181no—
935#551—1181no—
936#551—1181no—
937#551—1181no—
938#546—591no—
939#546—591no—
940#546—591no—
941#546—1181no—
942#546—1181no—
943#546C2×D5911yescharacteristic
944D42—591no—
945D42C2×D5911yescharacteristic, complemented
946#532—591no—
947#532—591no—
948#529—591no—
949#529—591no—
950#529—591no—
951#529—591no—
952#529—1181no—
953#529—1181no—
954#525—1181no—
955#525—1181no—
956#525—1181no—
957#525—1181no—
958C4×#41—591no—
959C4×#41—591no—
960C4×#41—591no—
961C2×C4×D4—591no—
962C2×C4×D4—591no—
963C2×C4×D4—591no—
964C2×C4×D4—591no—
965C2×C4×D4—1181no—
966C2×C4×D4—1181no—
967#501—591no—
968#501—591no—
969#499—591no—
970#496—591no—
971#496C2×D5911yescharacteristic, complemented
972#495—591no—
973#490—591no—
974#490—591no—
975#489—591no—
976#489—591no—
977#488—591no—
978#488—591no—
979#485—591no—
980#485—591no—
981#484—591no—
982#484—591no—
983#482—591no—
984#482—591no—
985#481—591no—
986#481—591no—
987#480—591no—
988#480—591no—
989#480—591no—
990#480—591no—
991#479—591no—
992#479—591no—
993#478—591no—
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#478—591no—
999#474—591no—
1000#474—591no—
1001#474—591no—
1002#474—591no—
1003#469—591no—
1004#469—591no—
1005#469—591no—
1006#469C2×D5911yescharacteristic, complemented
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#468—591no—
1011#467—591no—
1012#466—591no—
1013#465—591no—
1014#465C2×D5911yescharacteristic, complemented
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463C2×D5911yescharacteristic, complemented
1023#459—591no—
1024#459—591no—
1025#459—591no—
1026#459C2×D5911yescharacteristic
1027#452—591no—
1028#452—591no—
1029#450—591no—
1030#450C2×D5911yescharacteristic, complemented
1031#449—591no—
1032#449C2×D5911yescharacteristic
1033#447—591no—
1034#447—591no—
1035#447—591no—
1036#447—591no—
1037#447C2×D5911yescharacteristic
1038#447C2×D5911yescharacteristic, complemented
1039#446—591no—
1040#446—591no—
1041#442—591no—
1042#442—591no—
1043#442—591no—
1044#442C2×D5911yescharacteristic
1045#440—591no—
1046#440—591no—
1047#440—591no—
1048#440—591no—
1049C4×Q16—591no—
1050C4×SD16—591no—
1051C4×SD16—591no—
1052C4×SD16—591no—
1053C4×SD16—591no—
1054C4×SD16—591no—
1055C4×SD16—591no—
1056C4×D8—591no—
1057C4×D8—591no—
1058C4×D8—591no—
1059C4×D8—591no—
1060C4×D8—591no—
1061C4×D8—591no—
1062C4×D8—591no—
1063C4×D8—591no—
1064C4×D8—591no—
1065C4×D8—591no—
1066C4×D8—591no—
1067C4×D8—591no—
1068C4×D8—591no—
1069#436—591no—
1070#436—591no—
1071#435—591no—
1072#435—591no—
1073#435—591no—
1074#435C2×D5911yescharacteristic, complemented
1075#431—591no—
1076#431—591no—
1077#431—591no—
1078#428—591no—
1079#428—591no—
1080C2×#107—591no—
1081#418—591no—
1082#418—591no—
1083#417—591no—
1084#417—591no—
1085C2×#102—591no—
1086C2×#102—591no—
1087C4×M16—591no—
1088C4×M16—591no—
1089C2×C4×C8—591no—
1090C59#6144411yescharacteristic, complemented, Sylow
1091C2×#41—591no—
1092C2×#41—591no—
1093C2×#41—1181no—
1094C2×#41—1181no—
1095C2×#41C22×D5911yescharacteristic
1096C22×D4—21no—
1097C22×D4—591no—
1098C22×D4—1181no—
1099C22×D4C22×D5911yescharacteristic
1100C22×D4C22×D5911yescharacteristic
1101C22×D4C22×D5911yescharacteristic
1102C23×C4—1181no—
1103C23×C4—1181no—
1104C23×C4—1181no—
1105C23×C4—1181no—
1106AGL(1,ℤ/8)—24no—
1107AGL(1,ℤ/8)—1184no—
1108C2×Q16—591no—
1109C2×SD16—591no—
1110C2×SD16—591no—
1111C2×SD16—591no—
1112C2×SD16C22×D5911yescharacteristic
1113C2×SD16C22×D5911yescharacteristic
1114C2×SD16C22×D5911yescharacteristic
1115C2×D8—24no—
1116C2×D8—591no—
1117C2×D8—591no—
1118C2×D8—591no—
1119C2×D8C22×D5911yescharacteristic
1120C2×D8C22×D5911yescharacteristic
1121C2×D8C22×D5911yescharacteristic
1122C2×D8C22×D5911yescharacteristic
1123C2×D8C22×D5911yescharacteristic
1124C2×D8C22×D5911yescharacteristic
1125C2×M16—591no—
1126C2×M16—591no—
1127C2×M16—591no—
1128C2×M16C22×D5911yescharacteristic
1129C22×C8—591no—
1130C22×C8C22×D5911yescharacteristic
1131C4⋊Q8—591no—
1132C4⋊Q8—591no—
1133#127—591no—
1134#127C22×D5911yescharacteristic
1135#126—1181no—
1136#126—1181no—
1137#126—1181no—
1138#126—1181no—
1139#126—1181no—
1140#126—1181no—
1141#126—1181no—
1142#126—1181no—
1143#125—591no—
1144#125—591no—
1145#125—591no—
1146#125—591no—
1147#125—1181no—
1148#125—1181no—
1149#124—591no—
1150#124—591no—
1151#124—591no—
1152#124—1181no—
1153#124—1181no—
1154#124—1181no—
1155#124—1181no—
1156#124C22×D5911yescharacteristic
1157#123—21no—
1158#123—1181no—
1159#123—1181no—
1160#123—1181no—
1161#123—1181no—
1162#123—1181no—
1163#123—1181no—
1164#123—1181no—
1165#123—1181no—
1166#123—1181no—
1167#123—1181no—
1168#123—1181no—
1169#123—1181no—
1170#123—1181no—
1171#123—1181no—
1172#123—1181no—
1173C22⋊Q8—591no—
1174C22⋊Q8—591no—
1175C22⋊Q8—591no—
1176C22⋊Q8—1181no—
1177C22⋊Q8—1181no—
1178C22⋊Q8—1181no—
1179C22⋊Q8—1181no—
1180C22⋊Q8—1181no—
1181C22⋊Q8—1181no—
1182C22⋊Q8—1181no—
1183C22⋊Q8—1181no—
1184C22⋊Q8—1181no—
1185C22⋊Q8—1181no—
1186C22⋊Q8C22×D5911yescharacteristic
1187#121—21no—
1188#121—21no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—591no—
1193#121—591no—
1194#121—1181no—
1195#121—1181no—
1196#121—1181no—
1197#121—1181no—
1198#121—1181no—
1199#121—1181no—
1200#121—1181no—
1201#121—1181no—
1202#121—1181no—
1203#121—1181no—
1204#121C22×D5911yescharacteristic
1205#121C22×D5911yescharacteristic
1206#121C22×D5911yescharacteristic
1207#120—21no—
1208#120—21no—
1209#120—21no—
1210#120—1181no—
1211#120—1181no—
1212#120—1181no—
1213#120—1181no—
1214#120—1181no—
1215C4×Q8—591no—
1216C4×Q8—591no—
1217C4×Q8—591no—
1218C4×Q8—591no—
1219C4×Q8—591no—
1220C4×Q8—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—591no—
1231C4×D4—591no—
1232C4×D4—591no—
1233C4×D4—591no—
1234C4×D4—591no—
1235C4×D4—591no—
1236C4×D4—591no—
1237C4×D4—591no—
1238C4×D4—591no—
1239C4×D4—591no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4—1181no—
1249C4×D4—1181no—
1250C4×D4—1181no—
1251C4×D4—1181no—
1252C4×D4—1181no—
1253C4×D4—1181no—
1254C4×D4—1181no—
1255C4×D4—1181no—
1256C4×D4—1181no—
1257C4×D4—1181no—
1258C4×D4—1181no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—591no—
1270#117—591no—
1271#117—591no—
1272#117—591no—
1273#117—591no—
1274#117—1181no—
1275#117—1181no—
1276#117—1181no—
1277#117—1181no—
1278#117—1181no—
1279#117—1181no—
1280C2×C4⋊C4—591no—
1281C2×C4⋊C4—591no—
1282C2×C4⋊C4—591no—
1283C2×C4⋊C4—591no—
1284C2×C4⋊C4—1181no—
1285C2×C4⋊C4—1181no—
1286C2×C22⋊C4—21no—
1287C2×C22⋊C4—1181no—
1288C2×C22⋊C4—1181no—
1289C2×C22⋊C4—1181no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—1181no—
1298C2×C42—1181no—
1299#107—591no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107—591no—
1308#107—591no—
1309#106—591no—
1310#106—591no—
1311#106—591no—
1312#106—591no—
1313#106—591no—
1314#106C22×D5911yescharacteristic
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8C22×D5911yescharacteristic
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103C22×D5911yescharacteristic
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102—591no—
1334#102—591no—
1335#102—591no—
1336#102—591no—
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350#102C22×D5911yescharacteristic
1351#102C22×D5911yescharacteristic
1352#102C22×D5911yescharacteristic
1353C22⋊C8—591no—
1354C22⋊C8—591no—
1355C22⋊C8—591no—
1356C22⋊C8—591no—
1357C22⋊C8C22×D5911yescharacteristic
1358C22⋊C8C22×D5911yescharacteristic
1359#97—591no—
1360#97—591no—
1361#97—591no—
1362#97C22×D5911yescharacteristic
1363C4×C8—591no—
1364C4×C8—591no—
1365C4×C8—591no—
1366C4×C8—591no—
1367C4×C8—591no—
1368C4×C8—591no—
1369C24—21no—
1370C24—21no—
1371C24—21no—
1372C24—1181no—
1373#41—22no—
1374#41—41no—
1375#41—1182no—
1376#41—4722no—
1377#41—4722no—
1378#41—2362no—
1379#41—2361no—
1380C2×Q8—591no—
1381C2×Q8—591no—
1382C2×Q8—1181no—
1383C2×Q8—1181no—
1384C2×Q8C23×D5911yescharacteristic
1385C2×D4—22no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—21no—
1389C2×D4—21no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—41no—
1398C2×D4—41no—
1399C2×D4—41no—
1400C2×D4—44no—
1401C2×D4—591no—
1402C2×D4—591no—
1403C2×D4—591no—
1404C2×D4—1181no—
1405C2×D4—1181no—
1406C2×D4—1181no—
1407C2×D4—1182no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—2361no—
1415C2×D4—2364no—
1416C2×D4D4×D5911yescharacteristic
1417C2×D4C23×D5911yescharacteristic
1418C2×D4C23×D5911yescharacteristic
1419C2×D4C23×D5911yescharacteristic
1420C2×D4C23×D5911yescharacteristic
1421C2×D4C23×D5911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—591no—
1426C22×C4—591no—
1427C22×C4—591no—
1428C22×C4—591no—
1429C22×C4—591no—
1430C22×C4—591no—
1431C22×C4—591no—
1432C22×C4—1181no—
1433C22×C4—1181no—
1434C22×C4—1181no—
1435C22×C4—1181no—
1436C22×C4—1181no—
1437C22×C4—1181no—
1438C22×C4—1181no—
1439C22×C4—1181no—
1440C22×C4—1181no—
1441C22×C4—1181no—
1442C22×C4—1181no—
1443C22×C4—1181no—
1444C22×C4—1181no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—4722no—
1452C22×C4—4722no—
1453C22×C4—4722no—
1454C22×C4—4722no—
1455C22×C4C23×D5911yescharacteristic
1456C22×C4C23×D5911yescharacteristic
1457Q16—2361no—
1458SD16—22no—
1459SD16—22no—
1460SD16—41no—
1461SD16—1182no—
1462SD16—1182no—
1463SD16—2361no—
1464D8—22no—
1465D8—22no—
1466D8—22no—
1467D8—22no—
1468D8—41no—
1469D8—1182no—
1470D8—2361no—
1471D8—2361no—
1472D8#1174568714yescomplemented
1473M16—22no—
1474M16—1182no—
1475M16—2361no—
1476M16—2361no—
1477C2×C8—22no—
1478C2×C8—591no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—591no—
1482C2×C8—2361no—
1483C2×C8C23×D5911yescharacteristic
1484C2×C8C23×D5911yescharacteristic
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—591no—
1489C4⋊C4—591no—
1490C4⋊C4—591no—
1491C4⋊C4—591no—
1492C4⋊C4—591no—
1493C4⋊C4—591no—
1494C4⋊C4—591no—
1495C4⋊C4—591no—
1496C4⋊C4—591no—
1497C4⋊C4—591no—
1498C4⋊C4—591no—
1499C4⋊C4—1181no—
1500C4⋊C4—1181no—
1501C4⋊C4—1181no—
1502C4⋊C4—1181no—
1503C4⋊C4—1181no—
1504C4⋊C4—1181no—
1505C4⋊C4—1181no—
1506C4⋊C4—1181no—
1507C4⋊C4—1181no—
1508C4⋊C4—1181no—
1509C4⋊C4—1181no—
1510C4⋊C4—1181no—
1511C4⋊C4—1181no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4D4×D5911yescharacteristic
1521C4⋊C4C23×D5911yescharacteristic
1522C4⋊C4C23×D5911yescharacteristic
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—591no—
1532C22⋊C4—591no—
1533C22⋊C4—591no—
1534C22⋊C4—591no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C22⋊C4—1181no—
1546C22⋊C4—1181no—
1547C22⋊C4—1181no—
1548C22⋊C4—1181no—
1549C22⋊C4—1181no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1566C22⋊C4D4×D5911yescharacteristic
1567C42—591no—
1568C42—591no—
1569C42—591no—
1570C42—591no—
1571C42—591no—
1572C42—591no—
1573C42—591no—
1574C42—591no—
1575C42—591no—
1576C42—1181no—
1577C42—1181no—
1578C42—1181no—
1579C42—1181no—
1580C42—1181no—
1581C42—1181no—
1582C42C23×D5911yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—42no—
1589C23—42no—
1590C23—42no—
1591C23—42no—
1592C23—42no—
1593C23—42no—
1594C23—81no—
1595C23—81no—
1596C23—81no—
1597C23—591no—
1598C23—1181no—
1599C23—4721no—
1600C23—2362no—
1601C23—2362no—
1602C23C2×D4×D5911yescharacteristic
1603C23C2×D4×D5911yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—1181no—
1607Q8—1181no—
1608Q8—4721no—
1609Q8—4721no—
1610Q8—2361no—
1611D4—22no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—42no—
1621D4—42no—
1622D4—42no—
1623D4—42no—
1624D4—42no—
1625D4—42no—
1626D4—42no—
1627D4—81no—
1628D4—81no—
1629D4—1182no—
1630D4—1181no—
1631D4—1181no—
1632D4—4721no—
1633D4—4721no—
1634D4—4721no—
1635D4—4721no—
1636D4—2361no—
1637D4—2362no—
1638D4—2362no—
1639D4—2362no—
1640D4—2362no—
1641D4—2362no—
1642D4C2×#1174568712yes—
1643D4C2×#1174568712yes—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—42no—
1652C2×C4—42no—
1653C2×C4—81no—
1654C2×C4—591no—
1655C2×C4—591no—
1656C2×C4—591no—
1657C2×C4—591no—
1658C2×C4—591no—
1659C2×C4—591no—
1660C2×C4—591no—
1661C2×C4—1182no—
1662C2×C4—1182no—
1663C2×C4—1182no—
1664C2×C4—1182no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—4721no—
1675C2×C4—4721no—
1676C2×C4—4721no—
1677C2×C4—4721no—
1678C2×C4—4721no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—2361no—
1686C2×C4—2362no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2361no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4C2×D4×D5911yescharacteristic
1696C2×C4C2×D4×D5911yescharacteristic
1697C2×C4C2×D4×D5911yescharacteristic
1698C2×C4C2×D4×D5911yescharacteristic
1699C2×C4C24×D5911yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—1181no—
1704C8—1181no—
1705C8—1181no—
1706C8—1181no—
1707C8C2×#1174568712yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—84no—
1729C22—84no—
1730C22—84no—
1731C22—1181no—
1732C22—1181no—
1733C22—1181no—
1734C22—4724no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22#1683819812yes—
1739C22C22×D4×D5911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—592no—
1748C4—1181no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—2361no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4—2361no—
1761C4C22×#1174568711yescharacteristic
1762C4#1683823711yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—42no—
1766C2—42no—
1767C2—81no—
1768C2—81no—
1769C2—81no—
1770C2—4721no—
1771C2—2361no—
1772C2D4×#1174568711yescharacteristic
1773C2C2×#1683819811yescharacteristic
1774C2#576×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#61444
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. #21437701C2semidirect
2. #21437697C2semidirect
3. #21437181C2semidirect
4. #21437055C2semidirect
5. #21436846C2semidirect
6. #21436842C2semidirect
7. #21436697C2semidirect
8. #21436587C2semidirect
9. #21436583C2semidirect
10. #21436301C2semidirect
11. #21436290C2semidirect
12. #21436241C2semidirect
13. #21436237C2semidirect
14. #21436181C2semidirect
15. #21436177C2semidirect
16. #21435701C2semidirect
17. #21435576C2semidirect
18. #21434688C2semidirect
19. #21434686C2semidirect
20. #21434659C2semidirect
21. #21434144C2semidirect
22. #21434138C2semidirect
23. #21434111C2semidirect
24. #21434107C2semidirect
25. #21434095C2semidirect
26. #21434091C2semidirect
27. #21433056C2semidirect
28. #21432907C2semidirect
29. AGL(1,ℤ/8)×Dic59C2semidirect
30. C2×D8×Dic59C2semidirect
31. C59×#3264C2semidirect
33. #16838138C22semidirect
34. #16838134C22semidirect
35. #16838111C22semidirect
36. #16838110C22semidirect
37. #16838109C22semidirect
38. #16838109C22semidirect
41. #16838104C22semidirect
42. #16838099C22semidirect
51. #16838046C22semidirect
52. #16838040C22semidirect
54. D4×C22⋊D59C22semidirect
55. #16837950C22semidirect
56. #16837947C22semidirect
57. #16837938C22semidirect
59. #16837933C22semidirect
60. #16837933C22semidirect
61. #16837931C22semidirect
67. #41×Dic59C22semidirect
69. C4×#11745687C22semidirect
71. C2×D4×Dic59C22semidirect
72. C2×D4×Dic59C22semidirect
73. C2×D4×Dic59C22semidirect
75. C4×D4×D59C22semidirect
76. #16837811C22semidirect
77. #16837809C22semidirect
78. #16837802C22semidirect
79. #16837790C22semidirect
80. #16837783C22semidirect
81. #16837766C22semidirect
82. #16837765C22semidirect
83. #16837761C22semidirect
84. #16837760C22semidirect
85. #16837758C22semidirect
86. #16837755C22semidirect
87. #16837744C22semidirect
88. #16837742C22semidirect
89. #16837738C22semidirect
90. #16837735C22semidirect
91. #16837725C22semidirect
92. #16837723C22semidirect
93. #16837721C22semidirect
94. #16837718C22semidirect
95. #16837716C22semidirect
96. #16837714C22semidirect
97. #16837714C22semidirect
98. #16837713C22semidirect
99. #16837711C22semidirect
100. #16837710C22semidirect
101. #16837704C22semidirect
102. #16837704C22semidirect
103. #16837704C22semidirect
104. #16837702C22semidirect
105. #16837700C22semidirect
106. #16837700C22semidirect
107. #16837683C22semidirect
108. #16837682C22semidirect
109. #16837680C22semidirect
110. #16837680C22semidirect
111. #16837653C22semidirect
112. #16837652C22semidirect
113. #16837652C22semidirect
114. #16837648C22semidirect
115. #16837646C22semidirect
116. #16837645C22semidirect
117. #16837645C22semidirect
118. #16837641C22semidirect
120. #16837631C22semidirect
121. #16837622C22semidirect
122. #16837621C22semidirect
123. #16837619C22semidirect
124. #16837619C22semidirect
125. #16837615C22semidirect
126. #16837615C22semidirect
127. #16837615C22semidirect
129. #16837595C22semidirect
130. #16837594C22semidirect
131. #16837564C22semidirect
132. #16837561C22semidirect
133. #16837553C22semidirect
136. #16837536C22semidirect
137. #16837534C22semidirect
138. #16837534C22semidirect
139. #16837531C22semidirect
140. #16837530C22semidirect
142. #16837514C22semidirect
143. #16837512C22semidirect
144. #16837504C22semidirect
145. #16837503C22semidirect
146. #16837503C22semidirect
147. #16837502C22semidirect
148. #16837494C22semidirect
149. #16837493C22semidirect
150. #16837493C22semidirect
151. SD16×Dic59C22semidirect
152. SD16×Dic59C22semidirect
153. SD16×Dic59C22semidirect
154. #16837489C22semidirect
157. D8×Dic59C22semidirect
158. D8×Dic59C22semidirect
159. D8×Dic59C22semidirect
160. D8×Dic59C22semidirect
161. D8×Dic59C22semidirect
162. D8×Dic59C22semidirect
163. D8×Dic59C22semidirect
164. D8×Dic59C22semidirect
165. #16837482C22semidirect
166. #16837482C22semidirect
167. #16837482C22semidirect
168. #16837478C22semidirect
169. #16837477C22semidirect
170. #16837474C22semidirect
171. #16837473C22semidirect
172. #16837470C22semidirect
173. #16837454C22semidirect
174. #16837452C22semidirect
175. #16837452C22semidirect
176. #16837444C22semidirect
177. #16837441C22semidirect
178. C2×#14273661C22semidirect
179. #16837407C22semidirect
180. #16837405C22semidirect
181. #16837403C22semidirect
182. #16837400C22semidirect
183. C2×#14273648C22semidirect
184. C2×#14273648C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
191. D42×C59C22semidirect
192. C59×#496C22semidirect
193. C59×#469C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
197. C59×#450C22semidirect
200. C59×#447C22semidirect
202. C59×#435C22semidirect
577. D8×C59#41semidirect
893. #3264D59semidirect
945. D42C2×D59semidirect
971. #496C2×D59semidirect
1006. #469C2×D59semidirect
1014. #465C2×D59semidirect
1022. #463C2×D59semidirect
1030. #450C2×D59semidirect
1038. #447C2×D59semidirect
1074. #435C2×D59semidirect
1090. C59#61444semidirect
1472. D8#11745687semidirect

Maximal subgroups

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

subgroupindex
#214377012
#214376972
#214371812
#214370552
#214368462
#214368422
#214366972
#214365872
#214365832
#214363012
#214362902
#214362412
#214362372
#214361812
#214361772
#214357012
#214355762
#214346882
#214346862
#214346592
#214341442
#214341382
#214341112
#214341072
#214340952
#214340912
#214330562
#214329072
AGL(1,ℤ/8)×Dic592
C2×D8×Dic592
C59×#32642
#6144459