Finite Group Databasebeta

← #29481245

Subgroups — #29481245

Order 15104.

1930 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438050C211yesmaximal, characteristic, complemented
2#21437697C211yesmaximal, characteristic, complemented
3#21437181C211yesmaximal, characteristic, complemented
4#21437155C211yesmaximal, characteristic, complemented
5#21436928C211yesmaximal, characteristic, complemented
6#21436846C211yesmaximal, characteristic, complemented
7#21436344C211yesmaximal, characteristic, complemented
8#21436290C211yesmaximal, characteristic, complemented
9#21436271C211yesmaximal, characteristic, complemented
10#21436243C211yesmaximal, characteristic, complemented
11#21436207C211yesmaximal, characteristic, complemented
12#21436179C211yesmaximal, characteristic, complemented
13#21435731C211yesmaximal, characteristic, complemented
14#21435701C211yesmaximal, characteristic, complemented
15#21435606C211yesmaximal, characteristic, complemented
16#21435572C211yesmaximal, characteristic, complemented
17#21435569C211yesmaximal, characteristic, complemented
18#21435493C211yesmaximal, characteristic, complemented
19#21435456C211yesmaximal, characteristic, complemented
20#21435442C211yesmaximal, characteristic, complemented
21#21435131C211yesmaximal, characteristic, complemented
22#21435078C211yesmaximal, characteristic, complemented
23#21435060C211yesmaximal, characteristic, complemented
24#21434235C211yesmaximal, characteristic, complemented
25#21434209C211yesmaximal, characteristic, complemented
26#21434138C211yesmaximal, characteristic, complemented
27#21433585C211yesmaximal, characteristic, complemented
28#21433557C211yesmaximal, characteristic, complemented
29C2×#16837619C211yesmaximal, characteristic, complemented
30#21433208C211yesmaximal, characteristic, complemented
31C59×#3265C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic, complemented
33C2×#14273753C2211yescharacteristic, complemented
34C2×#14273751C2211yescharacteristic
35C22×#11745669C2211yescharacteristic
36#16838138C2211yescharacteristic, complemented
37#16838134C2211yescharacteristic, complemented
38#16838124C2211yescharacteristic, complemented
39#16838114—21no—
40#16838109C2211yescharacteristic, complemented
41#16838109C2211yescharacteristic, complemented
42#16838104—21no—
43#16838104C2211yescharacteristic
44#16838104C2211yescharacteristic, complemented
45#16838083—21no—
46#16838083—21no—
47#16838081—21no—
48#16838079—21no—
49Q8×C22⋊D59C2211yescharacteristic, complemented
50#16838062C2211yescharacteristic, complemented
51#16838048C2211yescharacteristic
52#16838046—21no—
53#16838046C2211yescharacteristic
54#16838046C2211yescharacteristic, complemented
55#16838041—21no—
56#16838040C2211yescharacteristic, complemented
57#16838036C2211yescharacteristic, complemented
58#16838022—21no—
59#16837989—21no—
60#16837986—21no—
61#16837950C2211yescharacteristic, complemented
62#16837948C2211yescharacteristic, complemented
63#16837939C2211yescharacteristic, complemented
64#16837938C2211yescharacteristic, complemented
65#16837933—21no—
66#16837933C2211yescharacteristic, complemented
67#16837933C2211yescharacteristic, complemented
68#16837933C2211yescharacteristic, complemented
69C2×#14273716C2211yescharacteristic, complemented
70#124×D59C2211yescharacteristic, complemented
71#16837908—21no—
72#16837908—21no—
73#16837874—21no—
74C4×#11745687C2211yescharacteristic
75C4×#11745687C2211yescharacteristic, complemented
76C2×D4×Dic59—21no—
77C2×D4×Dic59C2211yescharacteristic, complemented
78C2×D4×Dic59C2211yescharacteristic, complemented
79#16837793C2211yescharacteristic, complemented
80#16837790C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic
82#16837783C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837762C2211yescharacteristic, complemented
87#16837761C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837758C2211yescharacteristic, complemented
90#16837742C2211yescharacteristic, complemented
91#16837738C2211yescharacteristic, complemented
92#16837730C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837718C2211yescharacteristic, complemented
95#16837716C2211yescharacteristic, complemented
96#16837711C2211yescharacteristic, complemented
97#16837708C2211yescharacteristic, complemented
98#16837708C2211yescharacteristic, complemented
99#16837705C2211yescharacteristic, complemented
100#16837700C2211yescharacteristic, complemented
101#16837700C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837700C2211yescharacteristic, complemented
104#16837687C2211yescharacteristic, complemented
105#16837683C2211yescharacteristic, complemented
106#16837658C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic
110#16837648C2211yescharacteristic, complemented
111#16837645C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837643C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837629C2211yescharacteristic, complemented
116#16837627C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837623C2211yescharacteristic, complemented
120#16837623C2211yescharacteristic, complemented
121#16837622C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic
124#16837619C2211yescharacteristic
125#16837619C2211yescharacteristic, complemented
126#16837619C2211yescharacteristic, complemented
127#16837619C2211yescharacteristic, complemented
128#16837619C2211yescharacteristic, complemented
129#16837619C2211yescharacteristic, complemented
130#16837619C2211yescharacteristic, complemented
131#16837619C2211yescharacteristic, complemented
132#16837619C2211yescharacteristic, complemented
133#16837617C2211yescharacteristic
134#16837616C2211yescharacteristic, complemented
135#16837615C2211yescharacteristic, complemented
136#16837615C2211yescharacteristic, complemented
137#16837615C2211yescharacteristic, complemented
138#16837615C2211yescharacteristic, complemented
139#16837605C2211yescharacteristic, complemented
140#16837605C2211yescharacteristic, complemented
141#16837595C2211yescharacteristic
142#16837595C2211yescharacteristic, complemented
143#16837594C2211yescharacteristic, complemented
144#16837566C2211yescharacteristic, complemented
145#16837564C2211yescharacteristic, complemented
146#16837561C2211yescharacteristic, complemented
147#16837558C2211yescharacteristic, complemented
148#16837555C2211yescharacteristic, complemented
149#16837553C2211yescharacteristic, complemented
150#16837548C2211yescharacteristic
151#16837545C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic
155#16837535C2211yescharacteristic
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837531C2211yescharacteristic, complemented
159#16837530C2211yescharacteristic, complemented
160#16837512C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic
162#16837511C2211yescharacteristic, complemented
163#16837507C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837503C2211yescharacteristic, complemented
167#16837493C2211yescharacteristic, complemented
168#16837493C2211yescharacteristic, complemented
169D8×Dic59C2211yescharacteristic, complemented
170D8×Dic59C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837474C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837470C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837452C2211yescharacteristic, complemented
179#16837425C2211yescharacteristic, complemented
180#16837424C2211yescharacteristic, complemented
181C2×Dic59⋊C8C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837405C2211yescharacteristic, complemented
184#16837404C2211yescharacteristic, complemented
185#16837403C2211yescharacteristic, complemented
186C2×#14273651C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×SD16×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic
191D42×C59C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic
201C59×#440C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687D411yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C23×Dic59—21no—
212C23×Dic59—21no—
213#14273756—42no—
214#14273753—42no—
215#14273751—42no—
216C2×Dic236C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745669—42no—
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745664C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C22×C59⋊C8C2311yescharacteristic
236#14273727C2311yescharacteristic
237#14273725—21no—
238#14273725C2311yescharacteristic
239#14273723C2311yescharacteristic
240#14273722—21no—
241#14273722—21no—
242#14273722—21no—
243#14273721—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273720—21no—
249#14273718—21no—
250#14273718C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273718C2311yescharacteristic
253#14273716—21no—
254#14273716—21no—
255#14273716C2311yescharacteristic
256#14273716C2311yescharacteristic
257#14273716C2311yescharacteristic
258#14273716C2311yescharacteristic
259#14273715C2311yescharacteristic
260#14273714—21no—
261#14273714—21no—
262#14273714C2311yescharacteristic
263#14273714C2311yescharacteristic
264#14273714C2311yescharacteristic
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273712—21no—
270#14273712—21no—
271#14273711—21no—
272#14273711—21no—
273#14273711—21no—
274#14273711—21no—
275#14273710—21no—
276#14273709—21no—
277#14273708—21no—
278#14273708—21no—
279#14273708—21no—
280#14273708—21no—
281#14273708—21no—
282#14273708—21no—
283#14273708—21no—
284#14273706—21no—
285#14273706—21no—
286#14273706C2311yescharacteristic
287#14273706C2311yescharacteristic
288#14273706C2311yescharacteristic
289#14273705—21no—
290#14273705—21no—
291#14273704—21no—
292#14273704—21no—
293#14273704—21no—
294#14273704—21no—
295#14273703—21no—
296#14273703C2311yescharacteristic
297#14273702C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273699—21no—
303#14273699—21no—
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273698—21no—
310#14273698C2311yescharacteristic
311#14273698C2311yescharacteristic
312#14273697—21no—
313#14273696—21no—
314#14273696—21no—
315#14273695—21no—
316#14273695—21no—
317#14273695—21no—
318Q8×Dic59C2311yescharacteristic
319C4×Dic118C2311yescharacteristic
320C4×Dic118C2311yescharacteristic
321#14273692D411yescharacteristic
322#14273692C2311yescharacteristic
323#14273692C2311yescharacteristic
324C4×D236—21no—
325C4×D236C2311yescharacteristic
326D4×Dic59—21no—
327D4×Dic59—21no—
328D4×Dic59—21no—
329D4×Dic59—21no—
330D4×Dic59—21no—
331D4×Dic59—21no—
332D4×Dic59—21no—
333D4×Dic59—21no—
334D4×Dic59—21no—
335D4×Dic59—21no—
336D4×Dic59—21no—
337D4×Dic59—21no—
338D4×Dic59D411yescharacteristic
339D4×Dic59C2311yescharacteristic
340D4×Dic59C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
342D4×Dic59C2311yescharacteristic
343D4×Dic59C2311yescharacteristic
344D4×Dic59C2311yescharacteristic
345D4×Dic59C2311yescharacteristic
346D4×Dic59C2311yescharacteristic
347#14273689—21no—
348#14273689C2311yescharacteristic
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59C2311yescharacteristic
354C4×C22⋊D59C2311yescharacteristic
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4D411yescharacteristic
359(C22⋊D59)⋊C4D411yescharacteristic
360#14273685—21no—
361#14273685D411yescharacteristic
362#14273685C2311yescharacteristic
363#14273684—21no—
364#14273684—21no—
365#14273683—21no—
366#14273683—21no—
367#14273683—21no—
368#14273683—21no—
369#14273683D411yescharacteristic
370#14273683D411yescharacteristic
371C2×C4⋊Dic59—21no—
372C2×C4⋊Dic59C2311yescharacteristic
373C2×C4⋊Dic59C2311yescharacteristic
374C2×C22⋊Dic59—21no—
375C2×C22⋊Dic59—21no—
376C2×C22⋊Dic59—21no—
377C2×C22⋊Dic59—21no—
378C2×(C2×D59)⋊C4—21no—
379C2×(C2×D59)⋊C4—21no—
380C2×(C2×D59)⋊C4—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C2×C4×Dic59—21no—
385C2×C4×Dic59C2311yescharacteristic
386C2×C4×Dic59C2311yescharacteristic
387C42×D59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273661C2311yescharacteristic
390#14273661C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
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#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×Q8×C59C2311yescharacteristic
441C22×D4×C59—21no—
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444AGL(1,ℤ/8)×C59—42no—
445C2×SD16×C59—42no—
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456C22×C8×C59C2311yescharacteristic
457#127×C59C2311yescharacteristic
458#124×C59—21no—
459#124×C59C2311yescharacteristic
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#120×C59—21no—
468#120×C59—21no—
469C4×Q8×C59C2311yescharacteristic
470C4×D4×C59—21no—
471C4×D4×C59C2311yescharacteristic
472C4×D4×C59C2311yescharacteristic
473#107×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×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—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—41no—
489#41×C59—41no—
490C2×Q8×C59—21no—
491C2×Q8×C59—41no—
492C2×Q8×C59—41no—
493C2×Q8×C59C2411yescharacteristic
494C2×Q8×C59C2411yescharacteristic
495C2×D4×C59—22no—
496C2×D4×C59—22no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—41no—
506C2×D4×C59—41no—
507C2×D4×C59—44no—
508C2×D4×C59C2×D411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
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⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
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—82no—
540C22×Dic59—82no—
541C22×Dic59C2×D411yescharacteristic
542C22×Dic59C2×D411yescharacteristic
543C22×Dic59C2×D411yescharacteristic
544C22×Dic59C2×D411yescharacteristic
545Q8×D59—41no—
546Q8×D59—41no—
547#11745687—22no—
548#11745687—41no—
549#11745687—42no—
550#11745687—82no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—44no—
554#11745685—41no—
555#11745685—41no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—41no—
559C2×D236—41no—
560C2×D236C2411yescharacteristic
561C2×D236C2411yescharacteristic
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59C2×D411yescharacteristic
567C2×C4×D59C2×D411yescharacteristic
568C2×C4×D59C2411yescharacteristic
569C2×Dic118—21no—
570C2×Dic118—21no—
571C2×Dic118C2×D411yescharacteristic
572C2×Dic118C2411yescharacteristic
573C2×Dic118C2411yescharacteristic
574SD16×C59—22no—
575SD16×C59—22no—
576SD16×C59—41no—
577SD16×C59—41no—
578SD16×C59—41no—
579SD16×C59—41no—
580D8×C59—22no—
581D8×C59—41no—
582D8×C59—41no—
583M16×C59—41no—
584C2×C8×C59—41no—
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59C2×D411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C42×C59—21no—
604C42×C59C2411yescharacteristic
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⋊Dic59C2×D411yescharacteristic
625C22⋊Dic59C2×D411yescharacteristic
626#11745672—41no—
627#11745672—41no—
628#11745670—22no—
629#11745670—41no—
630#11745670—41no—
631#11745670—41no—
632#11745669—22no—
633#11745669—22no—
634#11745669—41no—
635#11745669—41no—
636#11745669—41no—
637#11745669—41no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656C4⋊Dic59—21no—
657C4⋊Dic59—21no—
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59—21no—
687C4×Dic59—21no—
688C4×Dic59—21no—
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2×D411yescharacteristic
693C4×Dic59C2×D411yescharacteristic
694C4×Dic59C2×D411yescharacteristic
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C4×Dic59C2411yescharacteristic
698#11745664—41no—
699C2×C59⋊C8—41no—
700C2×C59⋊C8C2411yescharacteristic
701C2×C59⋊C8C2411yescharacteristic
702C2×C59⋊C8C2411yescharacteristic
703C2×C59⋊C8C2411yescharacteristic
704Dic236—41no—
705#11745660—41no—
706#11745660—41no—
707#11745659—41no—
708#11745659—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—42no—
714C23×C59—42no—
715C23×C59—42no—
716C23×C59—42no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—42no—
724C22×D59—42no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730Q8×C59—21no—
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—21no—
734Q8×C59—81no—
735D4×C59—22no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—42no—
746D4×C59—42no—
747D4×C59—42no—
748D4×C59—42no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59H(5,𝔽2)12yes—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—42no—
761C2×C4×C59—81no—
762C2×C4×C59—81no—
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C2511yescharacteristic
768C22⋊D59—22no—
769C22⋊D59—41no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C2×Dic59—22no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—41no—
786C2×Dic59—41no—
787C2×Dic59—41no—
788C2×Dic59—42no—
789C2×Dic59—42no—
790C2×Dic59—42no—
791C2×Dic59—42no—
792C2×Dic59—81no—
793C2×Dic59—81no—
794C2×Dic59—81no—
795C2×Dic59—81no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806D236—21no—
807D236—21no—
808D236—21no—
809D236—21no—
810D236—42no—
811D236—81no—
812C4×D59—21no—
813C4×D59—21no—
814C4×D59—41no—
815C4×D59—41no—
816C4×D59—42no—
817C4×D59—81no—
818C4×D59—81no—
819C4×D59—81no—
820Dic118—21no—
821Dic118—21no—
822Dic118—21no—
823Dic118—21no—
824Dic118—41no—
825Dic118—81no—
826Dic118—81no—
827C8×C59—21no—
828C8×C59—21no—
829C8×C59—21no—
830C8×C59—21no—
831C59⋊C8—21no—
832C59⋊C8—21no—
833C59⋊C8—21no—
834C59⋊C8—21no—
835#61971—591nomaximal, Sylow
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—21no—
839C22×C59—22no—
840C22×C59—21no—
841C22×C59—21no—
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—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—84no—
854C22×C59—84no—
855C22×C59#57512yes—
856C22×C59C23×D411yescharacteristic
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—162no—
867C2×D59—162no—
868C4×C59—21no—
869C4×C59—21no—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59C2×H(5,𝔽2)11yescharacteristic
877C4×C59#58511yescharacteristic
878Dic59—21no—
879Dic59—21no—
880Dic59—21no—
881Dic59—21no—
882Dic59—21no—
883Dic59—21no—
884Dic59—21no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891#3514—591no—
892#3481—591no—
893#3403—591no—
894#3401—591no—
895#3376—591no—
896#3370—591no—
897#3326—591no—
898#3322—591no—
899#3320—591no—
900#3318—591no—
901#3316—591no—
902#3314—591no—
903#3275—591no—
904#3273—591no—
905#3266—591no—
906#3265D5911yescharacteristic, complemented
907#3264—591no—
908#3264—591no—
909#3256—591no—
910#3251—591no—
911#3250—591no—
912#3219—591no—
913#3213—591no—
914#3211—591no—
915#3114—591no—
916#3111—591no—
917#3105—591no—
918#3040—591no—
919#3036—591no—
920C2×#463—591no—
921#2989—591no—
922C2×C59—22no—
923C2×C59—41no—
924C2×C59—42no—
925C2×C59—81no—
926C2×C59—81no—
927C2×C59—81no—
928C2×C59#348811yescharacteristic
929C2×C59C2×#57511yescharacteristic
930C2×C59#358511yescharacteristic
931D59—41no—
932D59—81no—
933D59—81no—
934C2×#137—591no—
935C2×AGL(1,ℤ/8)—591no—
936C2×AGL(1,ℤ/8)—591no—
937C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
938C22×SD16C2×D5911yescharacteristic, complemented
939C22×D8—591no—
940#559—591no—
941#559—591no—
942#556—591no—
943#555—1181no—
944#554—591no—
945#554—591no—
946#553—591no—
947#553—591no—
948#553—1181no—
949#551—1181no—
950#551—1181no—
951#551—1181no—
952#551—1181no—
953D4×Q8—591no—
954#548—591no—
955#548C2×D5911yescharacteristic
956#546—591no—
957#546—591no—
958#546—591no—
959#546—591no—
960#546—1181no—
961#546—1181no—
962D42—591no—
963D42C2×D5911yescharacteristic, complemented
964#542—1181no—
965#538—1181no—
966#538—1181no—
967#532—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529—591no—
972#529—591no—
973#529—591no—
974#529—1181no—
975C2×#124—591no—
976C2×#124—591no—
977#525—1181no—
978#525—1181no—
979#518—1181no—
980C4×#41—591no—
981C4×#41—591no—
982C2×C4×D4—591no—
983C2×C4×D4—591no—
984C2×C4×D4—1181no—
985#497—591no—
986#496—591no—
987#496—591no—
988#496C2×D5911yescharacteristic, complemented
989#495—591no—
990#495—591no—
991#491—591no—
992#490—591no—
993#489—591no—
994#489—591no—
995#488—591no—
996#488—591no—
997#485—591no—
998#484—591no—
999#483—591no—
1000#482—591no—
1001#481—591no—
1002#480—591no—
1003#479—591no—
1004#479—591no—
1005#479—591no—
1006#478—591no—
1007#478—591no—
1008#478—591no—
1009#478—591no—
1010#478—591no—
1011#475—591no—
1012#474—591no—
1013#470—591no—
1014#469—591no—
1015#469—591no—
1016#469—591no—
1017#468—591no—
1018#468—591no—
1019#468—591no—
1020#468C2×D5911yescharacteristic, complemented
1021#467—591no—
1022#466C2×D5911yescharacteristic
1023#465—591no—
1024#465—591no—
1025#464—591no—
1026#464—591no—
1027#464—591no—
1028#464—591no—
1029#464—591no—
1030#464—591no—
1031#464—591no—
1032#463—591no—
1033#463—591no—
1034#463—591no—
1035#463—591no—
1036#463—591no—
1037#463—591no—
1038#463—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#463—591no—
1048#463C2×D5911yescharacteristic, complemented
1049#461—591no—
1050#461—591no—
1051#460C2×D5911yescharacteristic, complemented
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#452—591no—
1056#452—591no—
1057#452—591no—
1058#451—591no—
1059#450—591no—
1060#450—591no—
1061#450C2×D5911yescharacteristic, complemented
1062#449—591no—
1063#449—591no—
1064#449C2×D5911yescharacteristic, complemented
1065#448—591no—
1066#448—591no—
1067#448C2×D5911yescharacteristic, complemented
1068#447—591no—
1069#447—591no—
1070#447—591no—
1071#447—591no—
1072#447C2×D5911yescharacteristic
1073#446—591no—
1074#446—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#441—591no—
1079#440—591no—
1080#440—591no—
1081#440—591no—
1082#440C2×D5911yescharacteristic, complemented
1083C4×SD16—591no—
1084C4×SD16—591no—
1085C4×D8—591no—
1086C4×D8—591no—
1087#436—591no—
1088#436—591no—
1089#435—591no—
1090#435—591no—
1091#435—591no—
1092#435C2×D5911yescharacteristic, complemented
1093#432—591no—
1094#432—591no—
1095#431—591no—
1096#423—591no—
1097#423—591no—
1098C2×C4⋊C8—591no—
1099#419—591no—
1100#418—591no—
1101#417—591no—
1102#417—591no—
1103C2×#103—591no—
1104C2×#102—591no—
1105C59#6197111yescharacteristic, complemented, Sylow
1106C2×#41—591no—
1107C2×#41—591no—
1108C2×#41—591no—
1109C2×#41—1181no—
1110C2×#41C22×D5911yescharacteristic
1111C22×Q8—591no—
1112C22×Q8C22×D5911yescharacteristic
1113C22×D4—21no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—1181no—
1117C22×D4C22×D5911yescharacteristic
1118C22×D4C22×D5911yescharacteristic
1119C23×C4—1181no—
1120C23×C4—1181no—
1121#137—2362no—
1122AGL(1,ℤ/8)—42no—
1123AGL(1,ℤ/8)—2362no—
1124AGL(1,ℤ/8)—2362no—
1125C2×Q16—591no—
1126C2×Q16—591no—
1127C2×Q16—591no—
1128C2×SD16—42no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16C22×D5911yescharacteristic
1136C2×SD16C22×D5911yescharacteristic
1137C2×SD16C22×D5911yescharacteristic
1138C2×SD16C22×D5911yescharacteristic
1139C2×SD16C22×D5911yescharacteristic
1140C2×SD16C22×D5911yescharacteristic
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8—591no—
1144C2×D8—591no—
1145C2×D8—591no—
1146C2×D8—591no—
1147C2×D8—2362no—
1148C2×D8C22×D5911yescharacteristic
1149C2×D8C22×D5911yescharacteristic
1150C2×D8C22×D5911yescharacteristic
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16—591no—
1154C2×M16C22×D5911yescharacteristic
1155C22×C8—591no—
1156C22×C8C22×D5911yescharacteristic
1157C4⋊Q8—591no—
1158C4⋊Q8—591no—
1159C4⋊Q8—1181no—
1160#127—591no—
1161#127C22×D5911yescharacteristic
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#126—1181no—
1167#126—1181no—
1168#126—1181no—
1169#126—1181no—
1170#126—1181no—
1171#125—591no—
1172#125—591no—
1173#125—591no—
1174#125—1181no—
1175#124—21no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—591no—
1180#124—591no—
1181#124—591no—
1182#124—591no—
1183#124—591no—
1184#124—1181no—
1185#124—1181no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124C22×D5911yescharacteristic
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—
1208C22⋊Q8—21no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—1181no—
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⋊Q8C22×D5911yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—591no—
1226#121—591no—
1227#121—591no—
1228#121—591no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
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#121C22×D5911yescharacteristic
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#120—21no—
1244#120—21no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251C4×Q8—591no—
1252C4×Q8—591no—
1253C4×Q8—591no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8C22×D5911yescharacteristic
1258C4×D4—21no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
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×D4—1181no—
1294C4×D4—1181no—
1295C4×D4C22×D5911yescharacteristic
1296C4×D4C22×D5911yescharacteristic
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—
1306#117—1181no—
1307#117—1181no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—591no—
1310C2×C4⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C42—591no—
1322C2×C42—591no—
1323C2×C42—591no—
1324C2×C42—1181no—
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107C22×D5911yescharacteristic
1329#106—591no—
1330#106—591no—
1331#106—591no—
1332#106—591no—
1333C4⋊C8—591no—
1334C4⋊C8—591no—
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8—591no—
1340C4⋊C8—591no—
1341C4⋊C8—591no—
1342C4⋊C8C22×D5911yescharacteristic
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102C22×D5911yescharacteristic
1372#102C22×D5911yescharacteristic
1373#102C22×D5911yescharacteristic
1374#102C22×D5911yescharacteristic
1375C22⋊C8—591no—
1376C22⋊C8—591no—
1377C22⋊C8—591no—
1378C22⋊C8—591no—
1379C22⋊C8C22×D5911yescharacteristic
1380C22⋊C8C22×D5911yescharacteristic
1381#97—591no—
1382#97—591no—
1383#97—591no—
1384#97C22×D5911yescharacteristic
1385C4×C8—591no—
1386C4×C8—591no—
1387C24—21no—
1388C24—21no—
1389C24—1181no—
1390C24—1181no—
1391#41—41no—
1392#41—41no—
1393#41—1182no—
1394#41—4722no—
1395#41—2361no—
1396#41—2361no—
1397#41—2362no—
1398#41—2361no—
1399C2×Q8—21no—
1400C2×Q8—41no—
1401C2×Q8—41no—
1402C2×Q8—591no—
1403C2×Q8—591no—
1404C2×Q8—591no—
1405C2×Q8—1181no—
1406C2×Q8—1181no—
1407C2×Q8—2361no—
1408C2×Q8—2361no—
1409C2×Q8C23×D5911yescharacteristic
1410C2×Q8C23×D5911yescharacteristic
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—41no—
1422C2×D4—41no—
1423C2×D4—44no—
1424C2×D4—591no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—2361no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2364no—
1443C2×D4D4×D5911yescharacteristic
1444C2×D4C23×D5911yescharacteristic
1445C2×D4C23×D5911yescharacteristic
1446C2×D4C23×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C22×C4—21no—
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—591no—
1452C22×C4—591no—
1453C22×C4—591no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—4722no—
1474C22×C4—4722no—
1475C22×C4C23×D5911yescharacteristic
1476C22×C4C23×D5911yescharacteristic
1477Q16—2361no—
1478Q16—2361no—
1479Q16—2361no—
1480SD16—22no—
1481SD16—22no—
1482SD16—41no—
1483SD16—41no—
1484SD16—41no—
1485SD16—41no—
1486SD16—1182no—
1487SD16—2361no—
1488SD16—2361no—
1489SD16—2361no—
1490SD16—2361no—
1491SD16—2361no—
1492D8—22no—
1493D8—41no—
1494D8—41no—
1495D8—1182no—
1496D8—1182no—
1497D8—2361no—
1498D8—2361no—
1499D8—2361no—
1500D8—2361no—
1501M16—41no—
1502M16—2361no—
1503M16—2361no—
1504M16—2361no—
1505C2×C8—41no—
1506C2×C8—591no—
1507C2×C8—591no—
1508C2×C8—591no—
1509C2×C8—591no—
1510C2×C8—2361no—
1511C2×C8C23×D5911yescharacteristic
1512C2×C8C23×D5911yescharacteristic
1513C2×C8C23×D5911yescharacteristic
1514C2×C8C23×D5911yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—591no—
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⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4—1181no—
1540C4⋊C4—1181no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4D4×D5911yescharacteristic
1546C4⋊C4C23×D5911yescharacteristic
1547C4⋊C4C23×D5911yescharacteristic
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—591no—
1556C22⋊C4—591no—
1557C22⋊C4—591no—
1558C22⋊C4—591no—
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⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4D4×D5911yescharacteristic
1595C22⋊C4D4×D5911yescharacteristic
1596C42—21no—
1597C42—591no—
1598C42—591no—
1599C42—591no—
1600C42—591no—
1601C42—591no—
1602C42—591no—
1603C42—591no—
1604C42—591no—
1605C42—591no—
1606C42—1181no—
1607C42—1181no—
1608C42—1181no—
1609C42—1181no—
1610C42—1181no—
1611C42C23×D5911yescharacteristic
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—42no—
1617C23—42no—
1618C23—42no—
1619C23—42no—
1620C23—81no—
1621C23—81no—
1622C23—591no—
1623C23—1181no—
1624C23—1181no—
1625C23—4721no—
1626C23—4721no—
1627C23—4721no—
1628C23—4721no—
1629C23—2362no—
1630C23—2362no—
1631C23C2×D4×D5911yescharacteristic
1632C23C2×D4×D5911yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—81no—
1638Q8—1181no—
1639Q8—1181no—
1640Q8—1181no—
1641Q8—1181no—
1642Q8—4721no—
1643Q8—4721no—
1644Q8—2361no—
1645D4—22no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—42no—
1654D4—42no—
1655D4—42no—
1656D4—42no—
1657D4—42no—
1658D4—42no—
1659D4—81no—
1660D4—81no—
1661D4—1182no—
1662D4—1181no—
1663D4—1181no—
1664D4—1181no—
1665D4—1181no—
1666D4—4721no—
1667D4—4721no—
1668D4—4721no—
1669D4—4721no—
1670D4—4721no—
1671D4—4721no—
1672D4—4721no—
1673D4—2362no—
1674D4—2361no—
1675D4—2362no—
1676D4—2362no—
1677D4#1427377212yes—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—42no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—591no—
1690C2×C4—591no—
1691C2×C4—591no—
1692C2×C4—591no—
1693C2×C4—591no—
1694C2×C4—591no—
1695C2×C4—591no—
1696C2×C4—1182no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—1181no—
1705C2×C4—4721no—
1706C2×C4—4721no—
1707C2×C4—4721no—
1708C2×C4—4721no—
1709C2×C4—4721no—
1710C2×C4—4721no—
1711C2×C4—4721no—
1712C2×C4—4721no—
1713C2×C4—4721no—
1714C2×C4—4721no—
1715C2×C4—2361no—
1716C2×C4—2361no—
1717C2×C4—2362no—
1718C2×C4—2361no—
1719C2×C4—2361no—
1720C2×C4—2361no—
1721C2×C4—2362no—
1722C2×C4—2362no—
1723C2×C4—2362no—
1724C2×C4—2362no—
1725C2×C4C2×D4×D5911yescharacteristic
1726C2×C4C2×D4×D5911yescharacteristic
1727C2×C4C2×D4×D5911yescharacteristic
1728C2×C4C2×D4×D5911yescharacteristic
1729C2×C4C24×D5911yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—1181no—
1735C8—1181no—
1736C8—1181no—
1737C8—1181no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—22no—
1742C22—21no—
1743C22—21no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—41no—
1755C22—84no—
1756C22—84no—
1757C22—1181no—
1758C22—1181no—
1759C22—1181no—
1760C22—9442no—
1761C22—9442no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22#1683819812yes—
1769C22C22×D4×D5911yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—1181no—
1779C4—1181no—
1780C4—1181no—
1781C4—1181no—
1782C4—1181no—
1783C4—1181no—
1784C4—1181no—
1785C4—2361no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4C2×#1427377211yescharacteristic
1792C4#1683823711yescharacteristic
1793C2—22no—
1794C2—41no—
1795C2—42no—
1796C2—81no—
1797C2—81no—
1798C2—81no—
1799C2—4721no—
1800C2—4721no—
1801C2—2361no—
1802C2#2143775611yescharacteristic
1803C2C2×#1683819811yescharacteristic
1804C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3265C2
socleC22×C59C23×D4
hypercenter#3265D59
hypocenterC59#61971
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #21438050C2semidirect
2. #21437697C2semidirect
3. #21437181C2semidirect
4. #21437155C2semidirect
5. #21436928C2semidirect
6. #21436846C2semidirect
7. #21436344C2semidirect
8. #21436290C2semidirect
9. #21436271C2semidirect
10. #21436243C2semidirect
11. #21436207C2semidirect
12. #21436179C2semidirect
13. #21435731C2semidirect
14. #21435701C2semidirect
15. #21435606C2semidirect
16. #21435572C2semidirect
17. #21435569C2semidirect
18. #21435493C2semidirect
19. #21435456C2semidirect
20. #21435442C2semidirect
21. #21435131C2semidirect
22. #21435078C2semidirect
23. #21435060C2semidirect
24. #21434235C2semidirect
25. #21434209C2semidirect
26. #21434138C2semidirect
27. #21433585C2semidirect
28. #21433557C2semidirect
29. C2×#16837619C2semidirect
30. #21433208C2semidirect
31. C59×#3265C2semidirect
32. C2×#14273756C22semidirect
33. C2×#14273753C22semidirect
36. #16838138C22semidirect
37. #16838134C22semidirect
38. #16838124C22semidirect
40. #16838109C22semidirect
41. #16838109C22semidirect
44. #16838104C22semidirect
49. Q8×C22⋊D59C22semidirect
50. #16838062C22semidirect
54. #16838046C22semidirect
56. #16838040C22semidirect
57. #16838036C22semidirect
61. #16837950C22semidirect
62. #16837948C22semidirect
63. #16837939C22semidirect
64. #16837938C22semidirect
66. #16837933C22semidirect
67. #16837933C22semidirect
68. #16837933C22semidirect
69. C2×#14273716C22semidirect
70. #124×D59C22semidirect
75. C4×#11745687C22semidirect
77. C2×D4×Dic59C22semidirect
78. C2×D4×Dic59C22semidirect
79. #16837793C22semidirect
80. #16837790C22semidirect
82. #16837783C22semidirect
83. #16837783C22semidirect
84. #16837769C22semidirect
85. #16837765C22semidirect
86. #16837762C22semidirect
87. #16837761C22semidirect
88. #16837758C22semidirect
89. #16837758C22semidirect
90. #16837742C22semidirect
91. #16837738C22semidirect
92. #16837730C22semidirect
93. #16837729C22semidirect
94. #16837718C22semidirect
95. #16837716C22semidirect
96. #16837711C22semidirect
97. #16837708C22semidirect
98. #16837708C22semidirect
99. #16837705C22semidirect
100. #16837700C22semidirect
101. #16837700C22semidirect
102. #16837700C22semidirect
103. #16837700C22semidirect
104. #16837687C22semidirect
105. #16837683C22semidirect
106. #16837658C22semidirect
107. #16837654C22semidirect
108. #16837654C22semidirect
110. #16837648C22semidirect
111. #16837645C22semidirect
112. #16837645C22semidirect
113. #16837643C22semidirect
114. #16837629C22semidirect
115. #16837629C22semidirect
116. #16837627C22semidirect
117. #16837627C22semidirect
118. #16837625C22semidirect
119. #16837623C22semidirect
120. #16837623C22semidirect
121. #16837622C22semidirect
122. #16837621C22semidirect
125. #16837619C22semidirect
126. #16837619C22semidirect
127. #16837619C22semidirect
128. #16837619C22semidirect
129. #16837619C22semidirect
130. #16837619C22semidirect
131. #16837619C22semidirect
132. #16837619C22semidirect
134. #16837616C22semidirect
135. #16837615C22semidirect
136. #16837615C22semidirect
137. #16837615C22semidirect
138. #16837615C22semidirect
139. #16837605C22semidirect
140. #16837605C22semidirect
142. #16837595C22semidirect
143. #16837594C22semidirect
144. #16837566C22semidirect
145. #16837564C22semidirect
146. #16837561C22semidirect
147. #16837558C22semidirect
148. #16837555C22semidirect
149. #16837553C22semidirect
151. #16837545C22semidirect
152. #16837539C22semidirect
153. #16837539C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837531C22semidirect
159. #16837530C22semidirect
160. #16837512C22semidirect
162. #16837511C22semidirect
163. #16837507C22semidirect
164. #16837504C22semidirect
165. #16837503C22semidirect
166. #16837503C22semidirect
167. #16837493C22semidirect
168. #16837493C22semidirect
169. D8×Dic59C22semidirect
170. D8×Dic59C22semidirect
171. #16837478C22semidirect
172. #16837477C22semidirect
173. #16837474C22semidirect
174. #16837473C22semidirect
175. #16837470C22semidirect
176. #16837457C22semidirect
177. #16837456C22semidirect
178. #16837452C22semidirect
179. #16837425C22semidirect
180. #16837424C22semidirect
181. C2×Dic59⋊C8C22semidirect
182. #16837409C22semidirect
183. #16837405C22semidirect
184. #16837404C22semidirect
185. #16837403C22semidirect
186. C2×#14273651C22semidirect
187. C2×#14273649C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×SD16×C59C22semidirect
191. D42×C59C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#448C22semidirect
201. C59×#440C22semidirect
202. C59×#435C22semidirect
906. #3265D59semidirect
937. C2×AGL(1,ℤ/8)C2×D59semidirect
938. C22×SD16C2×D59semidirect
963. D42C2×D59semidirect
988. #496C2×D59semidirect
1020. #468C2×D59semidirect
1048. #463C2×D59semidirect
1051. #460C2×D59semidirect
1061. #450C2×D59semidirect
1064. #449C2×D59semidirect
1067. #448C2×D59semidirect
1082. #440C2×D59semidirect
1092. #435C2×D59semidirect
1105. C59#61971semidirect

Maximal subgroups

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

subgroupindex
#214380502
#214376972
#214371812
#214371552
#214369282
#214368462
#214363442
#214362902
#214362712
#214362432
#214362072
#214361792
#214357312
#214357012
#214356062
#214355722
#214355692
#214354932
#214354562
#214354422
#214351312
#214350782
#214350602
#214342352
#214342092
#214341382
#214335852
#214335572
C2×#168376192
#214332082
C59×#32652
#6197159