Finite Group Databasebeta

← #29470449

Subgroups — #29470449

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#21437706C211yesmaximal, characteristic, complemented
2#21437700C211yesmaximal, characteristic, complemented
3#21437185C211yesmaximal, characteristic, complemented
4#21437055C211yesmaximal, characteristic, complemented
5#21436854C211yesmaximal, characteristic, complemented
6#21436850C211yesmaximal, characteristic, complemented
7#21436698C211yesmaximal, characteristic, complemented
8#21436586C211yesmaximal, characteristic, complemented
9#21436582C211yesmaximal, characteristic, complemented
10#21436298C211yesmaximal, characteristic, complemented
11#21436293C211yesmaximal, characteristic, complemented
12#21436242C211yesmaximal, characteristic, complemented
13#21436238C211yesmaximal, characteristic, complemented
14#21436182C211yesmaximal, characteristic, complemented
15#21436178C211yesmaximal, characteristic, complemented
16#21435701C211yesmaximal, characteristic, complemented
17#21435578C211yesmaximal, characteristic, complemented
18#21435570C211yesmaximal, characteristic, complemented
19#21434691C211yesmaximal, characteristic, complemented
20#21434687C211yesmaximal, characteristic, complemented
21#21434662C211yesmaximal, characteristic, complemented
22#21434147C211yesmaximal, characteristic, complemented
23#21434141C211yesmaximal, characteristic, complemented
24#21434118C211yesmaximal, characteristic, complemented
25#21434114C211yesmaximal, characteristic, complemented
26#21434096C211yesmaximal, characteristic, complemented
27#21434094C211yesmaximal, characteristic, complemented
28#21433058C211yesmaximal, characteristic, complemented
29C4×#14273751C211yesmaximal, characteristic, complemented
30C4×D8×D59C211yesmaximal, characteristic, complemented
31C4×AGL(1,ℤ/8)×C59C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic
33C2×D8×D59C2211yescharacteristic
34#16838137C2211yescharacteristic, complemented
35#16838135C2211yescharacteristic, complemented
36#16838112C2211yescharacteristic, complemented
37#16838111C2211yescharacteristic, complemented
38#16838109C2211yescharacteristic, complemented
39#16838107C2211yescharacteristic, complemented
40#16838102C2211yescharacteristic
41#16838101—21no—
42#16838100C2211yescharacteristic, complemented
43#16838098—21no—
44#16838096C2211yescharacteristic
45#16838096C2211yescharacteristic, complemented
46#16838081—21no—
47#16838078—21no—
48#16838076—21no—
49#16838076—21no—
50#16838048—21no—
51#16838047C2211yescharacteristic
52#16838046C2211yescharacteristic, complemented
53#16838042—21no—
54#16838040C2211yescharacteristic
55#16838040C2211yescharacteristic, complemented
56D4×D236C2211yescharacteristic, complemented
57D4×C22⋊D59C2211yescharacteristic, complemented
58#16837952C2211yescharacteristic, complemented
59#16837949C2211yescharacteristic, complemented
60#16837939C2211yescharacteristic, complemented
61#16837939C2211yescharacteristic, complemented
62#16837936—21no—
63#16837936C2211yescharacteristic, complemented
64#16837934C2211yescharacteristic, complemented
65#16837932—21no—
66#16837913—21no—
67#16837911—21no—
68#16837911—21no—
69#16837911—21no—
70C4×#11745685C2211yescharacteristic
71C4×#11745687C2211yescharacteristic, complemented
72C2×C4×D236—21no—
73C2×C4×C22⋊D59—21no—
74C4×D4×D59C2211yescharacteristic, complemented
75C4×D4×D59C2211yescharacteristic, complemented
76C4×D4×D59C2211yescharacteristic, complemented
77#16837811C2211yescharacteristic, complemented
78#16837809C2211yescharacteristic, complemented
79#16837802C2211yescharacteristic, complemented
80#16837791C2211yescharacteristic, complemented
81#16837788C2211yescharacteristic, complemented
82#16837783C2211yescharacteristic, complemented
83#16837767C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837762C2211yescharacteristic, complemented
87#16837758C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837743C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837726C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837715C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837712C2211yescharacteristic, complemented
102#16837709C2211yescharacteristic, complemented
103#16837705C2211yescharacteristic, complemented
104#16837704C2211yescharacteristic, complemented
105#16837704C2211yescharacteristic, complemented
106#16837702C2211yescharacteristic, complemented
107#16837701C2211yescharacteristic, complemented
108#16837700C2211yescharacteristic, complemented
109#16837682C2211yescharacteristic, complemented
110#16837682C2211yescharacteristic, complemented
111#16837681C2211yescharacteristic, complemented
112#16837680C2211yescharacteristic, complemented
113#16837656C2211yescharacteristic, complemented
114#16837655C2211yescharacteristic, complemented
115#16837655C2211yescharacteristic, complemented
116#16837654C2211yescharacteristic, complemented
117#16837651C2211yescharacteristic, complemented
118#16837648C2211yescharacteristic, complemented
119#16837648C2211yescharacteristic, complemented
120#16837645C2211yescharacteristic, complemented
121#16837642C2211yescharacteristic, complemented
122#16837637C2211yescharacteristic
123#16837632C2211yescharacteristic, complemented
124#16837628C2211yescharacteristic, complemented
125#16837627C2211yescharacteristic, complemented
126#16837624C2211yescharacteristic, complemented
127#16837620C2211yescharacteristic, complemented
128#16837619C2211yescharacteristic, complemented
129#16837619C2211yescharacteristic, complemented
130#16837617C2211yescharacteristic, complemented
131#16837616C2211yescharacteristic, complemented
132#16837615C2211yescharacteristic, complemented
133#16837597C2211yescharacteristic
134#16837597C2211yescharacteristic, complemented
135#16837596C2211yescharacteristic, complemented
136#16837595C2211yescharacteristic
137#16837564C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837551C2211yescharacteristic, complemented
141#16837548C2211yescharacteristic
142#16837547C2211yescharacteristic
143#16837537C2211yescharacteristic
144#16837537C2211yescharacteristic, complemented
145#16837536C2211yescharacteristic, complemented
146#16837536C2211yescharacteristic, complemented
147#16837534C2211yescharacteristic
148#16837534C2211yescharacteristic, complemented
149#16837530C2211yescharacteristic, complemented
150#16837530C2211yescharacteristic, complemented
151#16837514C2211yescharacteristic
152#16837511C2211yescharacteristic, complemented
153#16837501C2211yescharacteristic, complemented
154#16837499C2211yescharacteristic, complemented
155C4×#11745672C2211yescharacteristic, complemented
156C4×#11745660C2211yescharacteristic, complemented
157C4×#11745660C2211yescharacteristic, complemented
158C4×#11745671C2211yescharacteristic, complemented
159C4×#11745670C2211yescharacteristic, complemented
160C4×D472C2211yescharacteristic, complemented
161C4×D472C2211yescharacteristic, complemented
162D8×Dic59C2211yescharacteristic
163#16837484C2211yescharacteristic, complemented
164C4×#11745669C2211yescharacteristic, complemented
165C4×#11745669C2211yescharacteristic, complemented
166C4×#11745669C2211yescharacteristic, complemented
167C4×#11745669C2211yescharacteristic, complemented
168C4×#11745669C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837478C2211yescharacteristic, complemented
173#16837475C2211yescharacteristic, complemented
174#16837475C2211yescharacteristic, complemented
175#16837471C2211yescharacteristic, complemented
176#16837471C2211yescharacteristic, complemented
177#16837455C2211yescharacteristic, complemented
178#16837453C2211yescharacteristic, complemented
179#16837453C2211yescharacteristic, complemented
180#16837443C2211yescharacteristic, complemented
181#107×D59C2211yescharacteristic, complemented
182#16837405C2211yescharacteristic, complemented
183#16837400C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#102×D59C2211yescharacteristic, complemented
186C4×#11745659C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C4×#41×C59C2211yescharacteristic, complemented
190C2×C4×D4×C59C2211yescharacteristic, complemented
191C59×#442C2211yescharacteristic
192C59×#442C2211yescharacteristic, complemented
193C59×#440C2211yescharacteristic, complemented
194C59×#440C2211yescharacteristic, complemented
195C4×SD16×C59C2211yescharacteristic, complemented
196C4×SD16×C59C2211yescharacteristic, complemented
197C4×D8×C59C2211yescharacteristic
198C4×D8×C59C2211yescharacteristic, complemented
199C59×#428C2211yescharacteristic, complemented
200C59×#418C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C4×M16×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685—21no—
205C2×#11745685D411yescharacteristic
206C2×#11745687C2311yescharacteristic
207C22×D236—21no—
208C22×C22⋊D59—21no—
209C2×D4×D59C2311yescharacteristic
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215#14273751—24no—
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×D472C2311yescharacteristic
222C2×D472C2311yescharacteristic
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228D8×D59—24no—
229C2×#11745659C2311yescharacteristic
230C2×#11745659C2311yescharacteristic
231C2×C8×D59C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273726C2311yescharacteristic
235#14273724C2311yescharacteristic
236#14273723C2311yescharacteristic
237#14273722—21no—
238#14273722—21no—
239#14273722—21no—
240#14273721—21no—
241#14273721—21no—
242#14273721—21no—
243#14273720—21no—
244#14273720—21no—
245#14273719—21no—
246#14273719C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273718C2311yescharacteristic
250#14273717—21no—
251#14273716C2311yescharacteristic
252#14273716C2311yescharacteristic
253#14273715—21no—
254#14273715—21no—
255#14273715C2311yescharacteristic
256#14273714C2311yescharacteristic
257#14273713—21no—
258#14273713—21no—
259#14273712—21no—
260#14273712—21no—
261#14273712—21no—
262#14273712—21no—
263#14273712—21no—
264#14273711—21no—
265#14273710—21no—
266#14273710—21no—
267#14273710—21no—
268#14273710—21no—
269#14273710—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273708—21no—
275#14273707C2311yescharacteristic
276#14273706—21no—
277#14273706—21no—
278#14273706—21no—
279#14273706C2311yescharacteristic
280#14273705—21no—
281#14273705—21no—
282#14273705—21no—
283#14273704—21no—
284#14273704—21no—
285#14273704—21no—
286#14273704—21no—
287#14273703C2311yescharacteristic
288#14273703C2311yescharacteristic
289#14273702C2311yescharacteristic
290#14273702C2311yescharacteristic
291#14273702C2311yescharacteristic
292#14273701—21no—
293#14273701—21no—
294#14273701—21no—
295#14273701—21no—
296#14273701C2311yescharacteristic
297#14273701C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273700—21no—
303#14273699—21no—
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273698C2311yescharacteristic
308#14273698C2311yescharacteristic
309#14273697—21no—
310#14273697—21no—
311#14273697—21no—
312#14273696—21no—
313#14273696—21no—
314#14273695—21no—
315#14273695—21no—
316#14273695—21no—
317C4×Dic118D411yescharacteristic
318C4×Dic118C2311yescharacteristic
319C4×Dic118C2311yescharacteristic
320#14273692C2311yescharacteristic
321C4×D236—21no—
322C4×D236—21no—
323C4×D236—21no—
324C4×D236—21no—
325C4×D236—21no—
326C4×D236—21no—
327C4×D236—21no—
328C4×D236D411yescharacteristic
329C4×D236C2311yescharacteristic
330C4×D236C2311yescharacteristic
331C4×D236C2311yescharacteristic
332C4×D236C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59—21no—
351C4×C22⋊D59D411yescharacteristic
352C4×C22⋊D59D411yescharacteristic
353C4×C22⋊D59C2311yescharacteristic
354C4×C22⋊D59C2311yescharacteristic
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359#14273686—21no—
360#14273686D411yescharacteristic
361#14273685C2311yescharacteristic
362#14273684—21no—
363#14273684—21no—
364#14273684—21no—
365#14273684D411yescharacteristic
366#14273684D411yescharacteristic
367#14273683—21no—
368C2×C4⋊Dic59—21no—
369C2×Dic59⋊C4—21no—
370C4⋊C4×D59C2311yescharacteristic
371C4⋊C4×D59C2311yescharacteristic
372C4⋊C4×D59C2311yescharacteristic
373C2×C22⋊Dic59—21no—
374C2×(C2×D59)⋊C4—21no—
375C2×(C2×D59)⋊C4—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59—21no—
381C42×D59C2311yescharacteristic
382C42×D59C2311yescharacteristic
383#14273661C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433C4×C59⋊C8C2311yescharacteristic
434C4×C59⋊C8C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C2×#41×C59C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C23×C4×C59—21no—
440AGL(1,ℤ/8)×C59—24no—
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C2×M16×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
448C4×Q8×C59C2311yescharacteristic
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59—21no—
460#117×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C22⋊C4×C59—21no—
463C2×C42×C59—21no—
464C2×C42×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#97×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479C4×C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485#41×C59—22no—
486#41×C59—41no—
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—22no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—41no—
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59—82no—
504C22×C4×C59C2×D411yescharacteristic
505C22×C4×C59C2×D411yescharacteristic
506C22×C4×C59C2411yescharacteristic
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—44no—
519C2×C22⋊D59C2×D411yescharacteristic
520C2×C22⋊D59C2×D411yescharacteristic
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526#11745687—22no—
527#11745687—41no—
528D4×D59—22no—
529D4×D59—22no—
530D4×D59—22no—
531D4×D59—41no—
532D4×D59—41no—
533D4×D59—41no—
534#11745685—42no—
535#11745685—82no—
536#11745685—82no—
537C2×D236—21no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236—44no—
543C2×D236C2×D411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×D236C2411yescharacteristic
546C2×D236C2411yescharacteristic
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—82no—
557C2×C4×D59—82no—
558C2×C4×D59—82no—
559C2×C4×D59C2×D411yescharacteristic
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2×D411yescharacteristic
563C2×C4×D59C2411yescharacteristic
564C2×C4×D59C2411yescharacteristic
565C2×Dic118—21no—
566C2×Dic118—21no—
567C2×Dic118C2×D411yescharacteristic
568C2×Dic118C2411yescharacteristic
569SD16×C59—22no—
570SD16×C59—22no—
571D8×C59—22no—
572D8×C59#4114yescomplemented
573M16×C59—22no—
574M16×C59—41no—
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59C2411yescharacteristic
583C4⋊C4×C59C2411yescharacteristic
584C4⋊C4×C59C2411yescharacteristic
585C4⋊C4×C59C2411yescharacteristic
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C42×C59—21no—
594C42×C59—21no—
595C42×C59—21no—
596C42×C59C2×D411yescharacteristic
597C42×C59C2×D411yescharacteristic
598C42×C59C2411yescharacteristic
599C42×C59C2411yescharacteristic
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⋊Dic59C2×D411yescharacteristic
610C22⋊Dic59C2×D411yescharacteristic
611#11745672—41no—
612#11745671—41no—
613#11745670—22no—
614#11745669—22no—
615#11745669—22no—
616#11745669—22no—
617#11745669—41no—
618#11745669—41no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
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)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4C2×D411yescharacteristic
642(C2×D59)⋊C4C2×D411yescharacteristic
643(C2×D59)⋊C4C2×D411yescharacteristic
644(C2×D59)⋊C4C2×D411yescharacteristic
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59C2×D411yescharacteristic
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4C2×D411yescharacteristic
671Dic59⋊C4C2×D411yescharacteristic
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2×D411yescharacteristic
681C4×Dic59C2411yescharacteristic
682C4×Dic59C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687D472—22no—
688D472—41no—
689#11745660—22no—
690#11745660—41no—
691#11745659—22no—
692#11745659—41no—
693C8×D59—22no—
694C8×D59—41no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—21no—
698C23×C59—42no—
699C23×C59—42no—
700C23×C59—81no—
701C23×C59C22×D411yescharacteristic
702C22×D59—21no—
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—42no—
706C22×D59—42no—
707C22×D59—42no—
708C22×D59—42no—
709C22×D59—42no—
710C22×D59—42no—
711C22×D59—81no—
712C22×D59—81no—
713C22×D59—81no—
714C22×D59C22×D411yescharacteristic
715C22×D59C22×D411yescharacteristic
716Q8×C59—21no—
717Q8×C59—21no—
718D4×C59—21no—
719D4×C59—21no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—42no—
723D4×C59—42no—
724D4×C59C2×#4112yes—
725D4×C59C2×#4112yes—
726C2×C4×C59—22no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—41no—
735C2×C4×C59—42no—
736C2×C4×C59—42no—
737C2×C4×C59—42no—
738C2×C4×C59—42no—
739C2×C4×C59—42no—
740C2×C4×C59—81no—
741C2×C4×C59—81no—
742C2×C4×C59—81no—
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C22×D411yescharacteristic
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C2511yescharacteristic
749C22⋊D59—22no—
750C22⋊D59—41no—
751C22⋊D59—42no—
752C22⋊D59—42no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—42no—
768C2×Dic59—42no—
769C2×Dic59—81no—
770C2×Dic59—81no—
771C2×Dic59—81no—
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777C2×Dic59C22×D411yescharacteristic
778D236—22no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—21no—
783D236—21no—
784D236—21no—
785D236—42no—
786D236—42no—
787D236—42no—
788D236—81no—
789D236—81no—
790C4×D59—22no—
791C4×D59—22no—
792C4×D59—22no—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—21no—
797C4×D59—41no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—42no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
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—22no—
822C22×C59—22no—
823C22×C59—21no—
824C22×C59—21no—
825C22×C59—21no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—84no—
834C22×C59C23×D411yescharacteristic
835C2×D59—21no—
836C2×D59—21no—
837C2×D59—21no—
838C2×D59—21no—
839C2×D59—21no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—84no—
850C2×D59—84no—
851C2×D59—84no—
852C2×D59#57512yes—
853C4×C59—21no—
854C4×C59—21no—
855C4×C59—21no—
856C4×C59—21no—
857C4×C59—41no—
858C4×C59—41no—
859C4×C59—41no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59#57612yes—
863C4×C59C22×#4111yescharacteristic
864C4×C59#58511yescharacteristic
865Dic59—21no—
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—41no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
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#3264—591no—
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)D5911yescharacteristic, complemented
906C2×C4×D8—591no—
907C2×C59—42no—
908C2×C59—42no—
909C2×C59—41no—
910C2×C59—81no—
911C2×C59D4×#4111yescharacteristic
912C2×C59C2×#57511yescharacteristic
913C2×C59C2×#57611yescharacteristic
914D59—22no—
915D59—41no—
916D59—81no—
917D59—81no—
918D59—81no—
919C2×AGL(1,ℤ/8)—591no—
920C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
921C22×D8—591no—
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—591no—
942#546—1181no—
943#546—1181no—
944D42—591no—
945D42—591no—
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×#41C2×D5911yescharacteristic, complemented
961C2×C4×D4—591no—
962C2×C4×D4—591no—
963C2×C4×D4—591no—
964C2×C4×D4—1181no—
965C2×C4×D4—1181no—
966C2×C4×D4C2×D5911yescharacteristic, complemented
967#501—591no—
968#501—591no—
969#499—591no—
970#496—591no—
971#496—591no—
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#469—591no—
1007#468—591no—
1008#468—591no—
1009#468—591no—
1010#468—591no—
1011#467—591no—
1012#466—591no—
1013#465—591no—
1014#465—591no—
1015#464—591no—
1016#464—591no—
1017#463—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#459—591no—
1024#459—591no—
1025#459—591no—
1026#459—591no—
1027#452—591no—
1028#452—591no—
1029#450—591no—
1030#450—591no—
1031#449—591no—
1032#449—591no—
1033#447—591no—
1034#447—591no—
1035#447—591no—
1036#447—591no—
1037#447—591no—
1038#447—591no—
1039#446—591no—
1040#446—591no—
1041#442—591no—
1042#442—591no—
1043#442C2×D5911yescharacteristic
1044#442C2×D5911yescharacteristic, complemented
1045#440—591no—
1046#440—591no—
1047#440C2×D5911yescharacteristic, complemented
1048#440C2×D5911yescharacteristic, complemented
1049C4×Q16—591no—
1050C4×SD16—591no—
1051C4×SD16—591no—
1052C4×SD16—591no—
1053C4×SD16—591no—
1054C4×SD16C2×D5911yescharacteristic, complemented
1055C4×SD16C2×D5911yescharacteristic, complemented
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×D8C2×D5911yescharacteristic
1068C4×D8C2×D5911yescharacteristic, complemented
1069#436—591no—
1070#436—591no—
1071#435—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#431—591no—
1076#431—591no—
1077#431—591no—
1078#428—591no—
1079#428C2×D5911yescharacteristic, complemented
1080C2×#107—591no—
1081#418—591no—
1082#418C2×D5911yescharacteristic, complemented
1083#417—591no—
1084#417C2×D5911yescharacteristic, complemented
1085C2×#102—591no—
1086C2×#102—591no—
1087C4×M16—591no—
1088C4×M16C2×D5911yescharacteristic, complemented
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—591no—
1097C22×D4—591no—
1098C22×D4—591no—
1099C22×D4—1181no—
1100C22×D4—1181no—
1101C22×D4C22×D5911yescharacteristic
1102C23×C4—21no—
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×SD16—591no—
1113C2×SD16C22×D5911yescharacteristic
1114C2×SD16C22×D5911yescharacteristic
1115C2×D8—591no—
1116C2×D8—591no—
1117C2×D8—591no—
1118C2×D8—591no—
1119C2×D8—591no—
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8—1184no—
1123C2×D8C22×D5911yescharacteristic
1124C2×D8C22×D5911yescharacteristic
1125C2×M16—591no—
1126C2×M16—591no—
1127C2×M16C22×D5911yescharacteristic
1128C2×M16C22×D5911yescharacteristic
1129C22×C8—591no—
1130C22×C8—591no—
1131C4⋊Q8—591no—
1132C4⋊Q8—591no—
1133#127—591no—
1134#127—591no—
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—591no—
1153#124—1181no—
1154#124—1181no—
1155#124—1181no—
1156#124—1181no—
1157#123—1181no—
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—591no—
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⋊Q8—1181no—
1187#121—591no—
1188#121—591no—
1189#121—591no—
1190#121—591no—
1191#121—591no—
1192#121—591no—
1193#121—591no—
1194#121—591no—
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#121—1181no—
1205#121—1181no—
1206#121—1181no—
1207#120—1181no—
1208#120—1181no—
1209#120—1181no—
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×Q8C22×D5911yescharacteristic
1220C4×Q8C22×D5911yescharacteristic
1221C4×D4—21no—
1222C4×D4—21no—
1223C4×D4—21no—
1224C4×D4—21no—
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—591no—
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×D4C22×D5911yescharacteristic
1264C4×D4C22×D5911yescharacteristic
1265C4×D4C22×D5911yescharacteristic
1266C4×D4C22×D5911yescharacteristic
1267C4×D4C22×D5911yescharacteristic
1268C4×D4C22×D5911yescharacteristic
1269#117—21no—
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#117C22×D5911yescharacteristic
1280C2×C4⋊C4—591no—
1281C2×C4⋊C4—591no—
1282C2×C4⋊C4—591no—
1283C2×C4⋊C4—1181no—
1284C2×C4⋊C4—1181no—
1285C2×C4⋊C4C22×D5911yescharacteristic
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—21no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42—1181no—
1298C2×C42C22×D5911yescharacteristic
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#107C22×D5911yescharacteristic
1308#107C22×D5911yescharacteristic
1309#106—591no—
1310#106—591no—
1311#106—591no—
1312#106—591no—
1313#106C22×D5911yescharacteristic
1314#106C22×D5911yescharacteristic
1315C4⋊C8—591no—
1316C4⋊C8—591no—
1317C4⋊C8—591no—
1318C4⋊C8—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321#103—591no—
1322#103—591no—
1323#103—591no—
1324#103—591no—
1325#103—591no—
1326#103—591no—
1327#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
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⋊C8—591no—
1358C22⋊C8—591no—
1359#97—591no—
1360#97—591no—
1361#97C22×D5911yescharacteristic
1362#97C22×D5911yescharacteristic
1363C4×C8—591no—
1364C4×C8—591no—
1365C4×C8—591no—
1366C4×C8—591no—
1367C4×C8C22×D5911yescharacteristic
1368C4×C8C22×D5911yescharacteristic
1369C24—21no—
1370C24—1181no—
1371C24—1181no—
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—21no—
1387C2×D4—21no—
1388C2×D4—41no—
1389C2×D4—591no—
1390C2×D4—591no—
1391C2×D4—591no—
1392C2×D4—591no—
1393C2×D4—591no—
1394C2×D4—591no—
1395C2×D4—1181no—
1396C2×D4—1181no—
1397C2×D4—1181no—
1398C2×D4—1181no—
1399C2×D4—1181no—
1400C2×D4—1181no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1182no—
1404C2×D4—1182no—
1405C2×D4—1182no—
1406C2×D4—1181no—
1407C2×D4—1181no—
1408C2×D4—1181no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1181no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—2364no—
1415C2×D4—2361no—
1416C2×D4—2361no—
1417C2×D4—2361no—
1418C2×D4—2364no—
1419C2×D4C23×D5911yescharacteristic
1420C2×D4C23×D5911yescharacteristic
1421C2×D4C23×D5911yescharacteristic
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—82no—
1431C22×C4—591no—
1432C22×C4—591no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—591no—
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×C4D4×D5911yescharacteristic
1455C22×C4D4×D5911yescharacteristic
1456C22×C4C23×D5911yescharacteristic
1457Q16—2361no—
1458SD16—22no—
1459SD16—22no—
1460SD16—1182no—
1461SD16—1182no—
1462SD16—2361no—
1463SD16—2361no—
1464D8—22no—
1465D8—1182no—
1466D8—1182no—
1467D8—1182no—
1468D8—1182no—
1469D8—2361no—
1470D8—2361no—
1471D8—2361no—
1472D8#1174568514yescomplemented
1473M16—22no—
1474M16—41no—
1475M16—1182no—
1476M16—2361no—
1477C2×C8—591no—
1478C2×C8—591no—
1479C2×C8—591no—
1480C2×C8—591no—
1481C2×C8—1182no—
1482C2×C8—2361no—
1483C2×C8C23×D5911yescharacteristic
1484C2×C8C23×D5911yescharacteristic
1485C2×C8C23×D5911yescharacteristic
1486C2×C8C23×D5911yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
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—591no—
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⋊C4C23×D5911yescharacteristic
1520C4⋊C4C23×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—591no—
1531C22⋊C4—591no—
1532C22⋊C4—591no—
1533C22⋊C4—591no—
1534C22⋊C4—591no—
1535C22⋊C4—591no—
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⋊C4—1181no—
1566C22⋊C4—1181no—
1567C42—21no—
1568C42—21no—
1569C42—21no—
1570C42—591no—
1571C42—591no—
1572C42—591no—
1573C42—591no—
1574C42—591no—
1575C42—591no—
1576C42—1181no—
1577C42—1181no—
1578C42—1181no—
1579C42D4×D5911yescharacteristic
1580C42D4×D5911yescharacteristic
1581C42C23×D5911yescharacteristic
1582C42C23×D5911yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—42no—
1588C23—81no—
1589C23—591no—
1590C23—591no—
1591C23—1181no—
1592C23—1181no—
1593C23—1181no—
1594C23—4721no—
1595C23—4721no—
1596C23—4721no—
1597C23—2362no—
1598C23—2362no—
1599C23—2362no—
1600C23—2362no—
1601C23—2362no—
1602C23—2362no—
1603C23C2×D4×D5911yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—1181no—
1607Q8—1181no—
1608Q8—4721no—
1609Q8—4721no—
1610Q8—2361no—
1611D4—21no—
1612D4—21no—
1613D4—21no—
1614D4—21no—
1615D4—42no—
1616D4—42no—
1617D4—1182no—
1618D4—1182no—
1619D4—1181no—
1620D4—1181no—
1621D4—1181no—
1622D4—1181no—
1623D4—1181no—
1624D4—1181no—
1625D4—4721no—
1626D4—4721no—
1627D4—4721no—
1628D4—4721no—
1629D4—4721no—
1630D4—4721no—
1631D4—2362no—
1632D4—2362no—
1633D4—2362no—
1634D4—2361no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638D4—2362no—
1639D4—2362no—
1640D4—2362no—
1641D4—2362no—
1642D4C2×#1174568512yes—
1643D4C2×#1174568512yes—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—41no—
1653C2×C4—42no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—42no—
1657C2×C4—42no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—81no—
1661C2×C4—591no—
1662C2×C4—591no—
1663C2×C4—591no—
1664C2×C4—591no—
1665C2×C4—591no—
1666C2×C4—591no—
1667C2×C4—1182no—
1668C2×C4—1182no—
1669C2×C4—1182no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—4721no—
1680C2×C4—4721no—
1681C2×C4—4721no—
1682C2×C4—4721no—
1683C2×C4—4721no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—2361no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4C2×D4×D5911yescharacteristic
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×#1174568512yes—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—22no—
1712C22—22no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—84no—
1721C22—592no—
1722C22—1181no—
1723C22—1181no—
1724C22—1181no—
1725C22—1181no—
1726C22—1181no—
1727C22—4724no—
1728C22—4724no—
1729C22—4724no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22C22×D4×D5911yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—1181no—
1750C4—1181no—
1751C4—1181no—
1752C4—1181no—
1753C4—1181no—
1754C4—1181no—
1755C4—2361no—
1756C4—2361no—
1757C4—2361no—
1758C4—2361no—
1759C4—2361no—
1760C4#1683820612yes—
1761C4C22×#1174568511yescharacteristic
1762C4#1683823811yescharacteristic
1763C2—41no—
1764C2—42no—
1765C2—42no—
1766C2—81no—
1767C2—1182no—
1768C2—4721no—
1769C2—4721no—
1770C2—4721no—
1771C2—2361no—
1772C2D4×#1174568511yescharacteristic
1773C2#575×D5911yescharacteristic
1774C2C2×#1683820611yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC4×AGL(1,ℤ/8)×C59C2
socleC22×C59C23×D4
hypercenterC4×AGL(1,ℤ/8)D59
hypocenterC59#61444
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ C4×AGL(1,ℤ/8)

Complements

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

NH ≅ G/Ntype
1. #21437706C2semidirect
2. #21437700C2semidirect
3. #21437185C2semidirect
4. #21437055C2semidirect
5. #21436854C2semidirect
6. #21436850C2semidirect
7. #21436698C2semidirect
8. #21436586C2semidirect
9. #21436582C2semidirect
10. #21436298C2semidirect
11. #21436293C2semidirect
12. #21436242C2semidirect
13. #21436238C2semidirect
14. #21436182C2semidirect
15. #21436178C2semidirect
16. #21435701C2semidirect
17. #21435578C2semidirect
18. #21435570C2semidirect
19. #21434691C2semidirect
20. #21434687C2semidirect
21. #21434662C2semidirect
22. #21434147C2semidirect
23. #21434141C2semidirect
24. #21434118C2semidirect
25. #21434114C2semidirect
26. #21434096C2semidirect
27. #21434094C2semidirect
28. #21433058C2semidirect
29. C4×#14273751C2semidirect
30. C4×D8×D59C2semidirect
31. C4×AGL(1,ℤ/8)×C59C2semidirect
34. #16838137C22semidirect
35. #16838135C22semidirect
36. #16838112C22semidirect
37. #16838111C22semidirect
38. #16838109C22semidirect
39. #16838107C22semidirect
42. #16838100C22semidirect
45. #16838096C22semidirect
52. #16838046C22semidirect
55. #16838040C22semidirect
56. D4×D236C22semidirect
57. D4×C22⋊D59C22semidirect
58. #16837952C22semidirect
59. #16837949C22semidirect
60. #16837939C22semidirect
61. #16837939C22semidirect
63. #16837936C22semidirect
64. #16837934C22semidirect
71. C4×#11745687C22semidirect
74. C4×D4×D59C22semidirect
75. C4×D4×D59C22semidirect
76. C4×D4×D59C22semidirect
77. #16837811C22semidirect
78. #16837809C22semidirect
79. #16837802C22semidirect
80. #16837791C22semidirect
81. #16837788C22semidirect
82. #16837783C22semidirect
83. #16837767C22semidirect
84. #16837765C22semidirect
85. #16837763C22semidirect
86. #16837762C22semidirect
87. #16837758C22semidirect
88. #16837755C22semidirect
89. #16837743C22semidirect
90. #16837741C22semidirect
91. #16837739C22semidirect
92. #16837736C22semidirect
93. #16837728C22semidirect
94. #16837726C22semidirect
95. #16837722C22semidirect
96. #16837719C22semidirect
97. #16837717C22semidirect
98. #16837715C22semidirect
99. #16837715C22semidirect
100. #16837714C22semidirect
101. #16837712C22semidirect
102. #16837709C22semidirect
103. #16837705C22semidirect
104. #16837704C22semidirect
105. #16837704C22semidirect
106. #16837702C22semidirect
107. #16837701C22semidirect
108. #16837700C22semidirect
109. #16837682C22semidirect
110. #16837682C22semidirect
111. #16837681C22semidirect
112. #16837680C22semidirect
113. #16837656C22semidirect
114. #16837655C22semidirect
115. #16837655C22semidirect
116. #16837654C22semidirect
117. #16837651C22semidirect
118. #16837648C22semidirect
119. #16837648C22semidirect
120. #16837645C22semidirect
121. #16837642C22semidirect
123. #16837632C22semidirect
124. #16837628C22semidirect
125. #16837627C22semidirect
126. #16837624C22semidirect
127. #16837620C22semidirect
128. #16837619C22semidirect
129. #16837619C22semidirect
130. #16837617C22semidirect
131. #16837616C22semidirect
132. #16837615C22semidirect
134. #16837597C22semidirect
135. #16837596C22semidirect
137. #16837564C22semidirect
138. #16837561C22semidirect
139. #16837554C22semidirect
140. #16837551C22semidirect
144. #16837537C22semidirect
145. #16837536C22semidirect
146. #16837536C22semidirect
148. #16837534C22semidirect
149. #16837530C22semidirect
150. #16837530C22semidirect
152. #16837511C22semidirect
153. #16837501C22semidirect
154. #16837499C22semidirect
155. C4×#11745672C22semidirect
156. C4×#11745660C22semidirect
157. C4×#11745660C22semidirect
158. C4×#11745671C22semidirect
159. C4×#11745670C22semidirect
160. C4×D472C22semidirect
161. C4×D472C22semidirect
163. #16837484C22semidirect
164. C4×#11745669C22semidirect
165. C4×#11745669C22semidirect
166. C4×#11745669C22semidirect
167. C4×#11745669C22semidirect
168. C4×#11745669C22semidirect
169. #16837482C22semidirect
170. #16837482C22semidirect
171. #16837478C22semidirect
172. #16837478C22semidirect
173. #16837475C22semidirect
174. #16837475C22semidirect
175. #16837471C22semidirect
176. #16837471C22semidirect
177. #16837455C22semidirect
178. #16837453C22semidirect
179. #16837453C22semidirect
180. #16837443C22semidirect
181. #107×D59C22semidirect
182. #16837405C22semidirect
183. #16837400C22semidirect
184. #102×D59C22semidirect
185. #102×D59C22semidirect
186. C4×#11745659C22semidirect
187. C4×C8×D59C22semidirect
189. C4×#41×C59C22semidirect
190. C2×C4×D4×C59C22semidirect
192. C59×#442C22semidirect
193. C59×#440C22semidirect
194. C59×#440C22semidirect
195. C4×SD16×C59C22semidirect
196. C4×SD16×C59C22semidirect
198. C4×D8×C59C22semidirect
199. C59×#428C22semidirect
200. C59×#418C22semidirect
201. C59×#417C22semidirect
202. C4×M16×C59C22semidirect
572. D8×C59#41semidirect
905. C4×AGL(1,ℤ/8)D59semidirect
960. C4×#41C2×D59semidirect
966. C2×C4×D4C2×D59semidirect
1044. #442C2×D59semidirect
1047. #440C2×D59semidirect
1048. #440C2×D59semidirect
1054. C4×SD16C2×D59semidirect
1055. C4×SD16C2×D59semidirect
1068. C4×D8C2×D59semidirect
1079. #428C2×D59semidirect
1082. #418C2×D59semidirect
1084. #417C2×D59semidirect
1088. C4×M16C2×D59semidirect
1090. C59#61444semidirect
1472. D8#11745685semidirect

Maximal subgroups

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

subgroupindex
#214377062
#214377002
#214371852
#214370552
#214368542
#214368502
#214366982
#214365862
#214365822
#214362982
#214362932
#214362422
#214362382
#214361822
#214361782
#214357012
#214355782
#214355702
#214346912
#214346872
#214346622
#214341472
#214341412
#214341182
#214341142
#214340962
#214340942
#214330582
C4×#142737512
C4×D8×D592
C4×AGL(1,ℤ/8)×C592
#6144459