Finite Group Databasebeta

← #29470528

Subgroups — #29470528

Order 15104.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437708C211yesmaximal, characteristic, complemented
2#21437701C211yesmaximal, characteristic, complemented
3#21437146C211yesmaximal, characteristic, complemented
4#21436996C211yesmaximal, characteristic, complemented
5#21436883C211yesmaximal, characteristic, complemented
6#21436872C211yesmaximal, characteristic, complemented
7#21436706C211yesmaximal, characteristic, complemented
8#21436647C211yesmaximal, characteristic, complemented
9#21436643C211yesmaximal, characteristic, complemented
10#21436405C211yesmaximal, characteristic, complemented
11#21436320C211yesmaximal, characteristic, complemented
12#21436136C211yesmaximal, characteristic, complemented
13#21436132C211yesmaximal, characteristic, complemented
14#21436076C211yesmaximal, characteristic, complemented
15#21436072C211yesmaximal, characteristic, complemented
16#21435690C211yesmaximal, characteristic, complemented
17#21435621C211yesmaximal, characteristic, complemented
18#21434699C211yesmaximal, characteristic, complemented
19#21434697C211yesmaximal, characteristic, complemented
20#21434650C211yesmaximal, characteristic, complemented
21#21434160C211yesmaximal, characteristic, complemented
22#21434149C211yesmaximal, characteristic, complemented
23#21434115C211yesmaximal, characteristic, complemented
24#21434111C211yesmaximal, characteristic, complemented
25#21434103C211yesmaximal, characteristic, complemented
26#21434099C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29AGL(1,ℤ/8)×Dic59C211yesmaximal, characteristic, complemented
30#135×Dic59C211yesmaximal, characteristic, complemented
31C59×#3267C211yesmaximal, characteristic, complemented
32C2×#14273751C2211yescharacteristic
33#16838134C2211yescharacteristic
34#16838127C2211yescharacteristic, complemented
35#16838123C2211yescharacteristic
36#16838123C2211yescharacteristic, complemented
37#16838122C2211yescharacteristic, complemented
38#16838111C2211yescharacteristic
39#16838110C2211yescharacteristic
40#16838099C2211yescharacteristic
41#16838098C2211yescharacteristic
42#16838095—21no—
43#16838089—21no—
44#16838089—21no—
45#16838087—21no—
46#16838078—21no—
47#16838075—21no—
48D4×Dic118C2211yescharacteristic, complemented
49#16838058—21no—
50#16838051C2211yescharacteristic
51#16838051C2211yescharacteristic, complemented
52#16838040C2211yescharacteristic
53#16838039—21no—
54D4×C22⋊D59C2211yescharacteristic
55#16837957C2211yescharacteristic, complemented
56#16837954C2211yescharacteristic, complemented
57#16837954C2211yescharacteristic, complemented
58#16837947C2211yescharacteristic
59#16837938C2211yescharacteristic
60#16837933—21no—
61#16837931C2211yescharacteristic
62#16837929—21no—
63#16837929—21no—
64#16837929—21no—
65#16837912—21no—
66#16837908—21no—
67#41×Dic59C2211yescharacteristic
68#41×Dic59C2211yescharacteristic, complemented
69#41×Dic59C2211yescharacteristic, complemented
70C4×#11745687C2211yescharacteristic
71C4×#11745687C2211yescharacteristic, complemented
72C2×#14273692—21no—
73C2×D4×Dic59C2211yescharacteristic
74C2×(C22⋊D59)⋊C4—21no—
75C4×D4×D59C2211yescharacteristic
76#16837811C2211yescharacteristic, complemented
77#16837809C2211yescharacteristic, complemented
78#16837799C2211yescharacteristic, complemented
79#16837795C2211yescharacteristic, complemented
80#16837773C2211yescharacteristic
81#16837770C2211yescharacteristic, complemented
82#16837769C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837761C2211yescharacteristic, complemented
85#16837751C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic
87#16837744C2211yescharacteristic, complemented
88#16837742C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837740C2211yescharacteristic, complemented
91#16837733C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837731C2211yescharacteristic, complemented
94#16837730C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic
96#16837727C2211yescharacteristic, complemented
97#16837725C2211yescharacteristic
98#16837723C2211yescharacteristic, complemented
99#16837710C2211yescharacteristic, complemented
100#16837707C2211yescharacteristic, complemented
101#16837702C2211yescharacteristic, complemented
102#16837700C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837693C2211yescharacteristic, complemented
105#16837692C2211yescharacteristic
106#16837690C2211yescharacteristic
107#16837690C2211yescharacteristic, complemented
108#16837690C2211yescharacteristic, complemented
109#16837685C2211yescharacteristic, complemented
110#16837680C2211yescharacteristic
111#16837658C2211yescharacteristic, complemented
112#16837657C2211yescharacteristic, complemented
113#16837657C2211yescharacteristic, complemented
114#16837650C2211yescharacteristic
115#16837648C2211yescharacteristic
116#16837645C2211yescharacteristic
117#16837645C2211yescharacteristic
118#16837633C2211yescharacteristic, complemented
119#16837631C2211yescharacteristic, complemented
120#16837629C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837621C2211yescharacteristic, complemented
123#16837619C2211yescharacteristic, complemented
124#16837610C2211yescharacteristic, complemented
125#16837605C2211yescharacteristic
126#16837605C2211yescharacteristic
127#16837605C2211yescharacteristic, complemented
128#16837604C2211yescharacteristic, complemented
129#16837600C2211yescharacteristic
130#16837595C2211yescharacteristic
131#16837564C2211yescharacteristic
132#16837561C2211yescharacteristic, complemented
133#16837553C2211yescharacteristic
134#16837551C2211yescharacteristic
135#16837551C2211yescharacteristic
136#16837547C2211yescharacteristic
137#16837547C2211yescharacteristic, complemented
138#16837544C2211yescharacteristic
139#16837531C2211yescharacteristic, complemented
140#16837530C2211yescharacteristic, complemented
141#16837514C2211yescharacteristic
142#16837514C2211yescharacteristic, complemented
143#16837512C2211yescharacteristic, complemented
144#16837504C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic
146#16837503C2211yescharacteristic, complemented
147#16837502C2211yescharacteristic
148Q16×Dic59C2211yescharacteristic, complemented
149Q16×Dic59C2211yescharacteristic, complemented
150Q16×Dic59C2211yescharacteristic, complemented
151#16837494C2211yescharacteristic, complemented
152#16837493C2211yescharacteristic
153#16837493C2211yescharacteristic, complemented
154SD16×Dic59C2211yescharacteristic
155SD16×Dic59C2211yescharacteristic
156SD16×Dic59C2211yescharacteristic
157SD16×Dic59C2211yescharacteristic, complemented
158SD16×Dic59C2211yescharacteristic, complemented
159SD16×Dic59C2211yescharacteristic, complemented
160SD16×Dic59C2211yescharacteristic, complemented
161#16837489C2211yescharacteristic, complemented
162#16837487C2211yescharacteristic, complemented
163#16837487C2211yescharacteristic, complemented
164D8×Dic59C2211yescharacteristic
165D8×Dic59C2211yescharacteristic
166D8×Dic59C2211yescharacteristic, complemented
167#16837482C2211yescharacteristic, complemented
168#16837478C2211yescharacteristic
169#16837477C2211yescharacteristic
170#16837474C2211yescharacteristic, complemented
171#16837473C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173#16837454C2211yescharacteristic, complemented
174#16837452C2211yescharacteristic, complemented
175#16837452C2211yescharacteristic, complemented
176#16837444C2211yescharacteristic, complemented
177#16837441C2211yescharacteristic, complemented
178#16837440C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic
180#16837405C2211yescharacteristic
181#16837403C2211yescharacteristic, complemented
182#16837400C2211yescharacteristic, complemented
183#16837398C2211yescharacteristic
184#16837398C2211yescharacteristic, complemented
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C2×#135×C59C2211yescharacteristic
190C59×#547C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic
192C59×#497C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#461C2211yescharacteristic
197C59×#452C2211yescharacteristic
198C59×#452C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic
200C59×#449C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic
202C59×#435C2211yescharacteristic, complemented
203C2×#11745687—21no—
204C2×#11745687D411yescharacteristic
205C2×#11745687C2311yescharacteristic
206C22×Dic118—21no—
207C22×C22⋊D59—21no—
208C2×D4×D59C2311yescharacteristic
209C23×Dic59—21no—
210C22×C4×D59—21no—
211#14273751—24no—
212C2×#11745672C2311yescharacteristic
213C2×#11745660C2311yescharacteristic
214C2×#11745670C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745671C2311yescharacteristic
217C2×#11745671C2311yescharacteristic
218C2×#11745669C2311yescharacteristic
219C2×#11745664C2311yescharacteristic
220C2×#11745659C2311yescharacteristic
221C2×#11745659C2311yescharacteristic
222C22×C59⋊C8C2311yescharacteristic
223#14273727C2311yescharacteristic
224#14273726C2311yescharacteristic
225#14273726C2311yescharacteristic
226#14273726C2311yescharacteristic
227#14273725C2311yescharacteristic
228#14273725C2311yescharacteristic
229#14273723C2311yescharacteristic
230#14273722—21no—
231#14273722—21no—
232#14273722—21no—
233#14273722—21no—
234#14273720—21no—
235#14273720—21no—
236#14273720—21no—
237#14273720—21no—
238#14273720—21no—
239#14273720—21no—
240#14273719C2311yescharacteristic
241#14273718—21no—
242#14273718—21no—
243#14273718C2311yescharacteristic
244#14273717—21no—
245#14273717—21no—
246#14273717—21no—
247#14273717—21no—
248#14273717—21no—
249#14273716C2311yescharacteristic
250#14273714—21no—
251#14273713—21no—
252#14273713—21no—
253#14273713—21no—
254#14273713—21no—
255#14273711—21no—
256#14273711—21no—
257#14273710—21no—
258#14273710—21no—
259#14273710—21no—
260#14273709—21no—
261#14273709—21no—
262#14273709—21no—
263#14273708—21no—
264#14273708—21no—
265#14273708—21no—
266#14273707—21no—
267#14273707—21no—
268#14273706—21no—
269#14273706—21no—
270#14273706C2311yescharacteristic
271#14273706C2311yescharacteristic
272#14273704—21no—
273#14273704—21no—
274#14273704—21no—
275#14273704—21no—
276#14273704—21no—
277#14273704—21no—
278#14273704—21no—
279#14273703C2311yescharacteristic
280#14273703C2311yescharacteristic
281#14273703C2311yescharacteristic
282#14273701C2311yescharacteristic
283#14273701C2311yescharacteristic
284#14273699—21no—
285#14273699—21no—
286#14273699—21no—
287#14273699—21no—
288#14273699—21no—
289#14273699—21no—
290#14273698—21no—
291#14273698C2311yescharacteristic
292#14273696—21no—
293#14273695—21no—
294#14273695—21no—
295Q8×Dic59C2311yescharacteristic
296Q8×Dic59C2311yescharacteristic
297Q8×Dic59C2311yescharacteristic
298Q8×Dic59C2311yescharacteristic
299Q8×Dic59C2311yescharacteristic
300Q8×Dic59C2311yescharacteristic
301C4×Dic118C2311yescharacteristic
302C4×Dic118C2311yescharacteristic
303#14273692—21no—
304#14273692—21no—
305#14273692—21no—
306#14273692—21no—
307#14273692—21no—
308#14273692—21no—
309#14273692—21no—
310#14273692D411yescharacteristic
311#14273692C2311yescharacteristic
312C4×D236C2311yescharacteristic
313D4×Dic59—21no—
314D4×Dic59—21no—
315D4×Dic59—21no—
316D4×Dic59—21no—
317D4×Dic59—21no—
318D4×Dic59—21no—
319D4×Dic59—21no—
320D4×Dic59—21no—
321D4×Dic59D411yescharacteristic
322D4×Dic59C2311yescharacteristic
323D4×Dic59C2311yescharacteristic
324D4×Dic59C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329D4×Dic59C2311yescharacteristic
330#14273689C2311yescharacteristic
331C4×C22⋊D59—21no—
332C4×C22⋊D59—21no—
333C4×C22⋊D59C2311yescharacteristic
334C4×C22⋊D59C2311yescharacteristic
335(C22⋊D59)⋊C4—21no—
336(C22⋊D59)⋊C4—21no—
337(C22⋊D59)⋊C4—21no—
338(C22⋊D59)⋊C4—21no—
339(C22⋊D59)⋊C4—21no—
340(C22⋊D59)⋊C4—21no—
341(C22⋊D59)⋊C4—21no—
342(C22⋊D59)⋊C4—21no—
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4D411yescharacteristic
345(C22⋊D59)⋊C4D411yescharacteristic
346#14273686—21no—
347#14273686—21no—
348#14273686—21no—
349#14273686C2311yescharacteristic
350#14273686C2311yescharacteristic
351#14273686C2311yescharacteristic
352#14273685—21no—
353#14273685—21no—
354#14273685D411yescharacteristic
355#14273685C2311yescharacteristic
356#14273683—21no—
357#14273683—21no—
358#14273683—21no—
359#14273683—21no—
360#14273683D411yescharacteristic
361#14273683D411yescharacteristic
362C2×C4⋊Dic59C2311yescharacteristic
363C2×Dic59⋊C4—21no—
364C2×Dic59⋊C4—21no—
365C2×Dic59⋊C4—21no—
366C4⋊C4×D59C2311yescharacteristic
367C2×C22⋊Dic59—21no—
368C2×(C2×D59)⋊C4—21no—
369C22⋊C4×D59—21no—
370C2×C4×Dic59—21no—
371C2×C4×Dic59—21no—
372C2×C4×Dic59—21no—
373C2×C4×Dic59—21no—
374C2×C4×Dic59C2311yescharacteristic
375C2×C4×Dic59C2311yescharacteristic
376C42×D59C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273659C2311yescharacteristic
384#14273659C2311yescharacteristic
385#14273659C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273658C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392C4⋊(C59⋊C8)C2311yescharacteristic
393Dic59⋊C8C2311yescharacteristic
394Dic59⋊C8C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397#14273652C2311yescharacteristic
398#14273652C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273651C2311yescharacteristic
401#14273651C2311yescharacteristic
402#14273651C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423C22⋊(C59⋊C8)C2311yescharacteristic
424C22⋊(C59⋊C8)C2311yescharacteristic
425(C2×D59)⋊C8C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427#14273638C2311yescharacteristic
428#14273637C2311yescharacteristic
429#14273637C2311yescharacteristic
430C8×Dic59C2311yescharacteristic
431C8×Dic59C2311yescharacteristic
432C8×Dic59C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C2×#41×C59C2311yescharacteristic
437C2×#41×C59C2311yescharacteristic
438C2×#41×C59C2311yescharacteristic
439C22×D4×C59C2311yescharacteristic
440AGL(1,ℤ/8)×C59—24no—
441#135×C59—24no—
442C2×Q16×C59C2311yescharacteristic
443C2×Q16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×M16×C59C2311yescharacteristic
452C22×C8×C59C2311yescharacteristic
453C4⋊Q8×C59C2311yescharacteristic
454#124×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457#123×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
463#121×C59C2311yescharacteristic
464#120×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468C2×C4⋊C4×C59—21no—
469C2×C22⋊C4×C59—21no—
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483#41×C59—22no—
484#41×C59—22no—
485#41×C59—22no—
486#41×C59—41no—
487#41×C59—41no—
488#41×C59—41no—
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—22no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—41no—
499C2×D4×C59C2×D411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
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—44no—
518C2×C22⋊D59C2×D411yescharacteristic
519C2×C22⋊D59C2×D411yescharacteristic
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59—21no—
523C22×Dic59—21no—
524C22×Dic59—21no—
525C22×Dic59—21no—
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—82no—
531C22×Dic59C2×D411yescharacteristic
532C22×Dic59C2×D411yescharacteristic
533C22×Dic59C2×D411yescharacteristic
534C22×Dic59C2×D411yescharacteristic
535#11745687—22no—
536#11745687—41no—
537#11745687—42no—
538#11745687—82no—
539D4×D59—22no—
540D4×D59—41no—
541C2×D236C2411yescharacteristic
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—82no—
546C2×C4×D59C2×D411yescharacteristic
547C2×C4×D59C2×D411yescharacteristic
548C2×C4×D59C2411yescharacteristic
549C2×Dic118—21no—
550C2×Dic118—21no—
551C2×Dic118—21no—
552C2×Dic118—21no—
553C2×Dic118—44no—
554C2×Dic118C2×D411yescharacteristic
555C2×Dic118C2411yescharacteristic
556Q16×C59—22no—
557Q16×C59—41no—
558SD16×C59—22no—
559SD16×C59—22no—
560SD16×C59—22no—
561SD16×C59—22no—
562SD16×C59—41no—
563D8×C59—22no—
564D8×C59#4114yescomplemented
565M16×C59—22no—
566C2×C8×C59—22no—
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59C2×D411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59C2×D411yescharacteristic
588C22⋊C4×C59C2×D411yescharacteristic
589C42×C59C2411yescharacteristic
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59C2×D411yescharacteristic
605C22⋊Dic59C2×D411yescharacteristic
606#11745672—41no—
607#11745671—41no—
608#11745671—41no—
609#11745670—22no—
610#11745670—41no—
611#11745669—22no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4C2×D411yescharacteristic
623(C2×D59)⋊C4C2×D411yescharacteristic
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59—21no—
633C4⋊Dic59C2×D411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638C4⋊Dic59C2411yescharacteristic
639C4⋊Dic59C2411yescharacteristic
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2411yescharacteristic
681C4×Dic59C2411yescharacteristic
682C4×Dic59C2411yescharacteristic
683#11745664—41no—
684C2×C59⋊C8—41no—
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689#11745660—22no—
690#11745659—22no—
691#11745659—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—42no—
696C23×C59—42no—
697C23×C59—81no—
698C23×C59C22×D411yescharacteristic
699C23×C59C22×D411yescharacteristic
700C22×D59—21no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—81no—
704C22×D59C22×D411yescharacteristic
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—21no—
708Q8×C59—21no—
709Q8×C59—21no—
710Q8×C59—21no—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—41no—
716D4×C59—42no—
717D4×C59—42no—
718D4×C59—42no—
719D4×C59—42no—
720D4×C59—81no—
721D4×C59C2×#4112yes—
722D4×C59C2×#4112yes—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—42no—
733C2×C4×C59—42no—
734C2×C4×C59—42no—
735C2×C4×C59—42no—
736C2×C4×C59—81no—
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C22×D411yescharacteristic
740C2×C4×C59C22×D411yescharacteristic
741C2×C4×C59C2511yescharacteristic
742C22⋊D59—22no—
743C22⋊D59—41no—
744C22⋊D59—42no—
745C22⋊D59—42no—
746C22⋊D59—42no—
747C22⋊D59—42no—
748C22⋊D59—42no—
749C22⋊D59—81no—
750C22⋊D59—81no—
751C2×Dic59—22no—
752C2×Dic59—22no—
753C2×Dic59—22no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—41no—
762C2×Dic59—42no—
763C2×Dic59—42no—
764C2×Dic59—42no—
765C2×Dic59—42no—
766C2×Dic59—42no—
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
778C2×Dic59C22×D411yescharacteristic
779D236—21no—
780D236—21no—
781C4×D59—21no—
782C4×D59—21no—
783C4×D59—22no—
784C4×D59—41no—
785C4×D59—42no—
786C4×D59—81no—
787C4×D59—81no—
788Dic118—22no—
789Dic118—21no—
790Dic118—21no—
791Dic118—42no—
792Dic118—42no—
793Dic118—42no—
794Dic118—81no—
795C8×C59—21no—
796C8×C59—21no—
797C8×C59—21no—
798C8×C59C2×#4112yes—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8—21no—
803#61448—591nomaximal, Sylow
804C22×C59—22no—
805C22×C59—22no—
806C22×C59—21no—
807C22×C59—21no—
808C22×C59—21no—
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—84no—
820C22×C59C23×D411yescharacteristic
821C2×D59—21no—
822C2×D59—21no—
823C2×D59—21no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—84no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837C4×C59C22×#4111yescharacteristic
838C4×C59#58511yescharacteristic
839Dic59—21no—
840Dic59—21no—
841Dic59—21no—
842Dic59—21no—
843Dic59—21no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59#57512yes—
852Dic59#57712yes—
853#3482—591no—
854#3481—591no—
855#3400—591no—
856#3384—591no—
857#3373—591no—
858#3372—591no—
859#3356—591no—
860#3350—591no—
861#3350—591no—
862#3331—591no—
863#3324—591no—
864#3311—591no—
865#3311—591no—
866#3307—591no—
867#3307—591no—
868#3272—591no—
869#3267—591no—
870#3267D5911yescharacteristic, complemented
871#3172—591no—
872#3172—591no—
873#3167—591no—
874#3107—591no—
875#3106—591no—
876#3102—591no—
877#3102—591no—
878#3101—591no—
879#3101—591no—
880#2965—591no—
881C4×AGL(1,ℤ/8)—591no—
882C4×AGL(1,ℤ/8)—591no—
883C4×#135—591no—
884C2×C59—42no—
885C2×C59—41no—
886C2×C59—41no—
887C2×C59—42no—
888C2×C59—81no—
889C2×C59D4×#4111yescharacteristic
890C2×C59C2×#57511yescharacteristic
891C2×C59C2×#57711yescharacteristic
892D59—41no—
893D59—81no—
894C2×AGL(1,ℤ/8)—591no—
895C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
896C2×#135C2×D5911yescharacteristic
897#559—591no—
898#557—591no—
899#556—591no—
900#556—591no—
901#556—591no—
902#554—591no—
903#554—591no—
904#553—591no—
905#553—591no—
906#553—1181no—
907#552—1181no—
908#552—1181no—
909#552—1181no—
910#551—1181no—
911#551—1181no—
912D4×Q8—591no—
913#548—1181no—
914#547—591no—
915#547—591no—
916#547C2×D5911yescharacteristic, complemented
917#546—591no—
918#546—1181no—
919#546C2×D5911yescharacteristic
920D42—591no—
921#533—591no—
922#533—591no—
923#533—591no—
924#532—591no—
925#529—591no—
926#529—591no—
927#529—1181no—
928#529—1181no—
929#529—1181no—
930#529—1181no—
931#525—1181no—
932#525—1181no—
933C4×#41—591no—
934C4×#41—591no—
935C4×#41—591no—
936C4×#41—591no—
937C4×#41—591no—
938C2×C4×Q8—1181no—
939C2×C4×D4—591no—
940C2×C4×D4—591no—
941C2×C4×D4—1181no—
942#501—591no—
943#501—591no—
944#498—591no—
945#497—591no—
946#497C2×D5911yescharacteristic, complemented
947#492—591no—
948#491—591no—
949#491—591no—
950#489—591no—
951#489—591no—
952#487—591no—
953#486—591no—
954#485—591no—
955#485—591no—
956#485—591no—
957#485—591no—
958#483—591no—
959#483—591no—
960#483—591no—
961#483—591no—
962#482—591no—
963#482—591no—
964#482—591no—
965#482—591no—
966#479—591no—
967#479—591no—
968#478—591no—
969#478—591no—
970#477—591no—
971#476—591no—
972#476—591no—
973#476—591no—
974#476—591no—
975#476—591no—
976#475—591no—
977#474—591no—
978#470—591no—
979#470—591no—
980#470—591no—
981#470C2×D5911yescharacteristic, complemented
982#468—591no—
983#468—591no—
984#468—591no—
985#468—591no—
986#465—591no—
987#465—591no—
988#465—591no—
989#465C2×D5911yescharacteristic, complemented
990#464—591no—
991#464—591no—
992#463—591no—
993#463C2×D5911yescharacteristic, complemented
994#462—591no—
995#461—591no—
996#461—591no—
997#461—591no—
998#461—591no—
999#461C2×D5911yescharacteristic
1000#460—591no—
1001#459—591no—
1002#452—591no—
1003#452—591no—
1004#452C2×D5911yescharacteristic
1005#452C2×D5911yescharacteristic, complemented
1006#450—591no—
1007#450—591no—
1008#450—591no—
1009#450C2×D5911yescharacteristic
1010#449—591no—
1011#449—591no—
1012#449—591no—
1013#449C2×D5911yescharacteristic, complemented
1014#446—591no—
1015#446—591no—
1016#442—591no—
1017#442—591no—
1018#442—591no—
1019#442C2×D5911yescharacteristic
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024C4×Q16—591no—
1025C4×Q16—591no—
1026C4×Q16—591no—
1027C4×Q16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×SD16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039C4×SD16—591no—
1040C4×D8—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#436—591no—
1045#436—591no—
1046#435—591no—
1047#435—591no—
1048#435—591no—
1049#435C2×D5911yescharacteristic, complemented
1050#431—591no—
1051#431—591no—
1052#431—591no—
1053#428—591no—
1054#428—591no—
1055#427—591no—
1056#418—591no—
1057#418—591no—
1058#417—591no—
1059#417—591no—
1060#416—591no—
1061#416—591no—
1062C4×M16—591no—
1063C4×M16—591no—
1064C2×C4×C8—591no—
1065C59#6144811yescharacteristic, complemented, Sylow
1066C2×#41—591no—
1067C2×#41—591no—
1068C2×#41—1181no—
1069C2×#41C22×D5911yescharacteristic
1070C2×#41C22×D5911yescharacteristic
1071C2×#41C22×D5911yescharacteristic
1072C22×Q8—1181no—
1073C22×D4—591no—
1074C22×D4—1181no—
1075C22×D4C22×D5911yescharacteristic
1076C23×C4—1181no—
1077C23×C4—1181no—
1078AGL(1,ℤ/8)—24no—
1079AGL(1,ℤ/8)—1184no—
1080#135—24no—
1081C2×Q16—591no—
1082C2×Q16C22×D5911yescharacteristic
1083C2×Q16C22×D5911yescharacteristic
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16—591no—
1089C2×SD16C22×D5911yescharacteristic
1090C2×SD16C22×D5911yescharacteristic
1091C2×SD16C22×D5911yescharacteristic
1092C2×SD16C22×D5911yescharacteristic
1093C2×SD16C22×D5911yescharacteristic
1094C2×D8—591no—
1095C2×D8C22×D5911yescharacteristic
1096C2×D8C22×D5911yescharacteristic
1097C2×M16—591no—
1098C2×M16—591no—
1099C2×M16—591no—
1100C2×M16C22×D5911yescharacteristic
1101C22×C8—591no—
1102C22×C8C22×D5911yescharacteristic
1103C4⋊Q8—591no—
1104C4⋊Q8—591no—
1105C4⋊Q8—591no—
1106C4⋊Q8—591no—
1107C4⋊Q8—591no—
1108C4⋊Q8—591no—
1109C4⋊Q8C22×D5911yescharacteristic
1110#127—591no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#125—591no—
1122#125—591no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#125—1181no—
1129#125—1181no—
1130#124—591no—
1131#124—1181no—
1132#124—1181no—
1133#124—1181no—
1134#124—1181no—
1135#124—1181no—
1136#124C22×D5911yescharacteristic
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151C22⋊Q8—591no—
1152C22⋊Q8—591no—
1153C22⋊Q8—591no—
1154C22⋊Q8—591no—
1155C22⋊Q8—591no—
1156C22⋊Q8—1181no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8C22×D5911yescharacteristic
1168C22⋊Q8C22×D5911yescharacteristic
1169C22⋊Q8C22×D5911yescharacteristic
1170#121—21no—
1171#121—21no—
1172#121—591no—
1173#121—591no—
1174#121—591no—
1175#121—1181no—
1176#121—1181no—
1177#121—1181no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121C22×D5911yescharacteristic
1183#120—21no—
1184#120—1181no—
1185#120—1181no—
1186#120—1181no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—591no—
1194C4×Q8—591no—
1195C4×Q8—591no—
1196C4×Q8—591no—
1197C4×Q8—1181no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
1202C4×Q8—1181no—
1203C4×Q8—1181no—
1204C4×D4—591no—
1205C4×D4—591no—
1206C4×D4—591no—
1207C4×D4—591no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—591no—
1219C4×D4—1181no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4C22×D5911yescharacteristic
1239C4×D4C22×D5911yescharacteristic
1240C4×D4C22×D5911yescharacteristic
1241#117—591no—
1242#117—591no—
1243#117—591no—
1244#117—591no—
1245#117—591no—
1246#117—591no—
1247#117—591no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117—1181no—
1255#117—1181no—
1256#117—1181no—
1257C2×C4⋊C4—21no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—591no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4—1181no—
1262C2×C4⋊C4—1181no—
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—1181no—
1265C2×C22⋊C4—1181no—
1266C2×C22⋊C4—1181no—
1267C2×C42—591no—
1268C2×C42—591no—
1269C2×C42—591no—
1270C2×C42—1181no—
1271C2×C42—1181no—
1272C2×C42—1181no—
1273C2×C42—1181no—
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107—591no—
1280#106—591no—
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285#106—591no—
1286#106—591no—
1287#106—591no—
1288#106—591no—
1289#106C22×D5911yescharacteristic
1290C4⋊C8—591no—
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8C22×D5911yescharacteristic
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#103C22×D5911yescharacteristic
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102C22×D5911yescharacteristic
1326#102C22×D5911yescharacteristic
1327#102C22×D5911yescharacteristic
1328C22⋊C8—591no—
1329C22⋊C8—591no—
1330C22⋊C8—591no—
1331C22⋊C8—591no—
1332C22⋊C8C22×D5911yescharacteristic
1333C22⋊C8C22×D5911yescharacteristic
1334#97—591no—
1335#97—591no—
1336#97—591no—
1337#97C22×D5911yescharacteristic
1338C4×C8—591no—
1339C4×C8—591no—
1340C4×C8—591no—
1341C4×C8—591no—
1342C4×C8—591no—
1343C4×C8—591no—
1344C24—21no—
1345C24—1181no—
1346#41—22no—
1347#41—22no—
1348#41—22no—
1349#41—41no—
1350#41—41no—
1351#41—41no—
1352#41—1182no—
1353#41—4722no—
1354#41—2361no—
1355#41—2362no—
1356C2×Q8—591no—
1357C2×Q8—591no—
1358C2×Q8—1181no—
1359C2×Q8—1181no—
1360C2×Q8—1181no—
1361C2×Q8—1181no—
1362C2×Q8—2364no—
1363C2×Q8C23×D5911yescharacteristic
1364C2×Q8C23×D5911yescharacteristic
1365C2×Q8C23×D5911yescharacteristic
1366C2×D4—22no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—41no—
1373C2×D4—591no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—1182no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—2361no—
1385C2×D4—2364no—
1386C2×D4D4×D5911yescharacteristic
1387C2×D4C23×D5911yescharacteristic
1388C2×D4C23×D5911yescharacteristic
1389C2×D4C23×D5911yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—4722no—
1416C22×C4—4722no—
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419Q16—22no—
1420Q16—41no—
1421Q16—2361no—
1422SD16—22no—
1423SD16—22no—
1424SD16—22no—
1425SD16—22no—
1426SD16—41no—
1427SD16—1182no—
1428SD16—1182no—
1429SD16—2361no—
1430SD16—2361no—
1431SD16—2361no—
1432D8—22no—
1433D8—1182no—
1434D8#1174568714yescomplemented
1435M16—22no—
1436M16—1182no—
1437M16—2361no—
1438M16—2361no—
1439C2×C8—22no—
1440C2×C8—591no—
1441C2×C8—591no—
1442C2×C8—591no—
1443C2×C8—591no—
1444C2×C8—2361no—
1445C2×C8C23×D5911yescharacteristic
1446C2×C8C23×D5911yescharacteristic
1447C2×C8C23×D5911yescharacteristic
1448C2×C8C23×D5911yescharacteristic
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
1459C4⋊C4—591no—
1460C4⋊C4—591no—
1461C4⋊C4—591no—
1462C4⋊C4—591no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4D4×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—591no—
1506C22⋊C4—591no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4D4×D5911yescharacteristic
1532C22⋊C4D4×D5911yescharacteristic
1533C42—591no—
1534C42—591no—
1535C42—591no—
1536C42—591no—
1537C42—591no—
1538C42—591no—
1539C42—591no—
1540C42—591no—
1541C42—591no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42—1181no—
1546C42—1181no—
1547C42—1181no—
1548C42—1181no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42C23×D5911yescharacteristic
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—42no—
1559C23—42no—
1560C23—81no—
1561C23—591no—
1562C23—1181no—
1563C23—4721no—
1564C23—2362no—
1565C23—2362no—
1566C23C2×D4×D5911yescharacteristic
1567C23C2×D4×D5911yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—21no—
1573Q8—21no—
1574Q8—1182no—
1575Q8—1181no—
1576Q8—1181no—
1577Q8—4721no—
1578Q8—2362no—
1579Q8—2362no—
1580Q8—2362no—
1581D4—21no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—41no—
1586D4—42no—
1587D4—42no—
1588D4—42no—
1589D4—42no—
1590D4—81no—
1591D4—1182no—
1592D4—1181no—
1593D4—1181no—
1594D4—4721no—
1595D4—4721no—
1596D4—2362no—
1597D4—2361no—
1598D4—2362no—
1599D4—2362no—
1600D4—2362no—
1601D4—2362no—
1602D4C2×#1174568712yes—
1603D4C2×#1174568712yes—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—42no—
1616C2×C4—42no—
1617C2×C4—81no—
1618C2×C4—591no—
1619C2×C4—591no—
1620C2×C4—591no—
1621C2×C4—591no—
1622C2×C4—591no—
1623C2×C4—591no—
1624C2×C4—591no—
1625C2×C4—1182no—
1626C2×C4—1182no—
1627C2×C4—1182no—
1628C2×C4—1182no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—4721no—
1639C2×C4—4721no—
1640C2×C4—4721no—
1641C2×C4—4721no—
1642C2×C4—4721no—
1643C2×C4—2361no—
1644C2×C4—2362no—
1645C2×C4—2362no—
1646C2×C4—2362no—
1647C2×C4—2362no—
1648C2×C4—2362no—
1649C2×C4—2362no—
1650C2×C4—2361no—
1651C2×C4—2362no—
1652C2×C4—2362no—
1653C2×C4C2×D4×D5911yescharacteristic
1654C2×C4C2×D4×D5911yescharacteristic
1655C2×C4C2×D4×D5911yescharacteristic
1656C2×C4C2×D4×D5911yescharacteristic
1657C2×C4C24×D5911yescharacteristic
1658C8—21no—
1659C8—21no—
1660C8—21no—
1661C8—1181no—
1662C8—1181no—
1663C8—1181no—
1664C8—1181no—
1665C8C2×#1174568712yes—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—22no—
1673C22—22no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—84no—
1682C22—1181no—
1683C22—1181no—
1684C22—1181no—
1685C22—4724no—
1686C22—2361no—
1687C22—2361no—
1688C22—2361no—
1689C22C22×D4×D5911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—592no—
1700C4—592no—
1701C4—1181no—
1702C4—1181no—
1703C4—1181no—
1704C4—1181no—
1705C4—1181no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4—2361no—
1713C4C22×#1174568711yescharacteristic
1714C4#1683823711yescharacteristic
1715C2—41no—
1716C2—41no—
1717C2—42no—
1718C2—42no—
1719C2—81no—
1720C2—4721no—
1721C2—2361no—
1722C2D4×#1174568711yescharacteristic
1723C2#575×D5911yescharacteristic
1724C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3267C2
socleC22×C59C23×D4
hypercenter#3267D59
hypocenterC59#61448
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #21437708C2semidirect
2. #21437701C2semidirect
3. #21437146C2semidirect
4. #21436996C2semidirect
5. #21436883C2semidirect
6. #21436872C2semidirect
7. #21436706C2semidirect
8. #21436647C2semidirect
9. #21436643C2semidirect
10. #21436405C2semidirect
11. #21436320C2semidirect
12. #21436136C2semidirect
13. #21436132C2semidirect
14. #21436076C2semidirect
15. #21436072C2semidirect
16. #21435690C2semidirect
17. #21435621C2semidirect
18. #21434699C2semidirect
19. #21434697C2semidirect
20. #21434650C2semidirect
21. #21434160C2semidirect
22. #21434149C2semidirect
23. #21434115C2semidirect
24. #21434111C2semidirect
25. #21434103C2semidirect
26. #21434099C2semidirect
27. #21433056C2semidirect
28. #21432907C2semidirect
29. AGL(1,ℤ/8)×Dic59C2semidirect
30. #135×Dic59C2semidirect
31. C59×#3267C2semidirect
34. #16838127C22semidirect
36. #16838123C22semidirect
37. #16838122C22semidirect
48. D4×Dic118C22semidirect
51. #16838051C22semidirect
55. #16837957C22semidirect
56. #16837954C22semidirect
57. #16837954C22semidirect
68. #41×Dic59C22semidirect
69. #41×Dic59C22semidirect
71. C4×#11745687C22semidirect
76. #16837811C22semidirect
77. #16837809C22semidirect
78. #16837799C22semidirect
79. #16837795C22semidirect
81. #16837770C22semidirect
82. #16837769C22semidirect
83. #16837763C22semidirect
84. #16837761C22semidirect
85. #16837751C22semidirect
87. #16837744C22semidirect
88. #16837742C22semidirect
89. #16837740C22semidirect
90. #16837740C22semidirect
91. #16837733C22semidirect
92. #16837731C22semidirect
93. #16837731C22semidirect
94. #16837730C22semidirect
96. #16837727C22semidirect
98. #16837723C22semidirect
99. #16837710C22semidirect
100. #16837707C22semidirect
101. #16837702C22semidirect
102. #16837700C22semidirect
103. #16837695C22semidirect
104. #16837693C22semidirect
107. #16837690C22semidirect
108. #16837690C22semidirect
109. #16837685C22semidirect
111. #16837658C22semidirect
112. #16837657C22semidirect
113. #16837657C22semidirect
118. #16837633C22semidirect
119. #16837631C22semidirect
120. #16837629C22semidirect
121. #16837626C22semidirect
122. #16837621C22semidirect
123. #16837619C22semidirect
124. #16837610C22semidirect
127. #16837605C22semidirect
128. #16837604C22semidirect
132. #16837561C22semidirect
137. #16837547C22semidirect
139. #16837531C22semidirect
140. #16837530C22semidirect
142. #16837514C22semidirect
143. #16837512C22semidirect
144. #16837504C22semidirect
146. #16837503C22semidirect
148. Q16×Dic59C22semidirect
149. Q16×Dic59C22semidirect
150. Q16×Dic59C22semidirect
151. #16837494C22semidirect
153. #16837493C22semidirect
157. SD16×Dic59C22semidirect
158. SD16×Dic59C22semidirect
159. SD16×Dic59C22semidirect
160. SD16×Dic59C22semidirect
161. #16837489C22semidirect
162. #16837487C22semidirect
163. #16837487C22semidirect
166. D8×Dic59C22semidirect
167. #16837482C22semidirect
170. #16837474C22semidirect
171. #16837473C22semidirect
172. #16837470C22semidirect
173. #16837454C22semidirect
174. #16837452C22semidirect
175. #16837452C22semidirect
176. #16837444C22semidirect
177. #16837441C22semidirect
178. #16837440C22semidirect
181. #16837403C22semidirect
182. #16837400C22semidirect
184. #16837398C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
190. C59×#547C22semidirect
192. C59×#497C22semidirect
193. C59×#470C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
198. C59×#452C22semidirect
200. C59×#449C22semidirect
202. C59×#435C22semidirect
564. D8×C59#41semidirect
870. #3267D59semidirect
916. #547C2×D59semidirect
946. #497C2×D59semidirect
981. #470C2×D59semidirect
989. #465C2×D59semidirect
993. #463C2×D59semidirect
1005. #452C2×D59semidirect
1013. #449C2×D59semidirect
1049. #435C2×D59semidirect
1065. C59#61448semidirect
1434. D8#11745687semidirect

Maximal subgroups

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

subgroupindex
#214377082
#214377012
#214371462
#214369962
#214368832
#214368722
#214367062
#214366472
#214366432
#214364052
#214363202
#214361362
#214361322
#214360762
#214360722
#214356902
#214356212
#214346992
#214346972
#214346502
#214341602
#214341492
#214341152
#214341112
#214341032
#214340992
#214330562
#214329072
AGL(1,ℤ/8)×Dic592
#135×Dic592
C59×#32672
#6144859