Finite Group Databasebeta

← #29470628

Subgroups — #29470628

Order 15104.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437712C211yesmaximal, characteristic, complemented
2D4×#11745687C211yesmaximal, characteristic, complemented
3#21437113C211yesmaximal, characteristic, complemented
4#21437018C211yesmaximal, characteristic, complemented
5#21436820C211yesmaximal, characteristic, complemented
6#21436809C211yesmaximal, characteristic, complemented
7#21436538C211yesmaximal, characteristic, complemented
8#21436531C211yesmaximal, characteristic, complemented
9#21436440C211yesmaximal, characteristic, complemented
10#21436117C211yesmaximal, characteristic, complemented
11#21436110C211yesmaximal, characteristic, complemented
12#21436087C211yesmaximal, characteristic, complemented
13#21436080C211yesmaximal, characteristic, complemented
14#21435954C211yesmaximal, characteristic, complemented
15#21435902C211yesmaximal, characteristic, complemented
16SD16×C22⋊D59C211yesmaximal, characteristic, complemented
17#21435585C211yesmaximal, characteristic, complemented
18#21434809C211yesmaximal, characteristic, complemented
19#21434791C211yesmaximal, characteristic, complemented
20#21434789C211yesmaximal, characteristic, complemented
21#21434240C211yesmaximal, characteristic, complemented
22#21434233C211yesmaximal, characteristic, complemented
23#21434229C211yesmaximal, characteristic, complemented
24#21434217C211yesmaximal, characteristic, complemented
25#21434213C211yesmaximal, characteristic, complemented
26#21434190C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28AGL(1,ℤ/8)×Dic59C211yesmaximal, characteristic, complemented
29C2×#16837503C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3265C211yesmaximal, characteristic, complemented
32C22×#11745687—21no—
33C2×SD16×D59C2211yescharacteristic
34#16838128C2211yescharacteristic, complemented
35#16838121—21no—
36#16838121C2211yescharacteristic, complemented
37#16838092—21no—
38#16838092C2211yescharacteristic, complemented
39#16838086—21no—
40#16838086C2211yescharacteristic, complemented
41#16838072C2211yescharacteristic
42D4×Dic118C2211yescharacteristic
43Q8×C22⋊D59C2211yescharacteristic, complemented
44#16838059C2211yescharacteristic, complemented
45#16838058—21no—
46#16838056C2211yescharacteristic
47#16838052—21no—
48#16838052C2211yescharacteristic
49#16838052C2211yescharacteristic
50#16838052C2211yescharacteristic, complemented
51#16838046—21no—
52#16838039—21no—
53#16838039—21no—
54D4×C22⋊D59C2211yescharacteristic
55D4×C22⋊D59C2211yescharacteristic
56#16837954—21no—
57#16837954C2211yescharacteristic, complemented
58#16837950C2211yescharacteristic
59#16837947C2211yescharacteristic
60#16837947C2211yescharacteristic
61#16837933—21no—
62#16837933C2211yescharacteristic, complemented
63#16837931—21no—
64#16837931C2211yescharacteristic, complemented
65#16837912—21no—
66#16837908—21no—
67#16837908—21no—
68#41×Dic59C2211yescharacteristic, complemented
69C4×#11745687—21no—
70C4×#11745687C2211yescharacteristic
71C2×Q8×Dic59C2211yescharacteristic, complemented
72C4×Q8×D59C2211yescharacteristic, complemented
73C2×D4×Dic59C2211yescharacteristic
74C2×D4×Dic59C2211yescharacteristic
75C4×D4×D59C2211yescharacteristic
76#16837811C2211yescharacteristic, complemented
77#16837810C2211yescharacteristic, complemented
78#16837806C2211yescharacteristic, complemented
79#16837790C2211yescharacteristic, complemented
80#16837773C2211yescharacteristic, complemented
81#16837766C2211yescharacteristic, complemented
82#16837765C2211yescharacteristic, complemented
83#16837761C2211yescharacteristic, complemented
84#16837760C2211yescharacteristic, complemented
85#16837751C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837738C2211yescharacteristic, complemented
88#16837735C2211yescharacteristic, complemented
89#16837733C2211yescharacteristic, complemented
90#16837731C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837723C2211yescharacteristic, complemented
93#16837716C2211yescharacteristic, complemented
94#16837714C2211yescharacteristic, complemented
95#16837714C2211yescharacteristic, complemented
96#16837714C2211yescharacteristic, complemented
97#16837713C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic
100#16837704C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic
103#16837698C2211yescharacteristic, complemented
104#16837697C2211yescharacteristic, complemented
105#16837695C2211yescharacteristic, complemented
106#16837695C2211yescharacteristic, complemented
107#16837685C2211yescharacteristic, complemented
108#16837680C2211yescharacteristic
109#16837680C2211yescharacteristic, complemented
110#16837680C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837646C2211yescharacteristic, complemented
114#16837636C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837631C2211yescharacteristic, complemented
118#16837629C2211yescharacteristic, complemented
119#16837628C2211yescharacteristic, complemented
120#16837628C2211yescharacteristic, complemented
121#16837615C2211yescharacteristic
122#16837615C2211yescharacteristic, complemented
123#16837614C2211yescharacteristic, complemented
124#16837605C2211yescharacteristic
125#16837605C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837599C2211yescharacteristic, complemented
130#16837595C2211yescharacteristic, complemented
131#16837553C2211yescharacteristic
132#16837553C2211yescharacteristic
133#16837551C2211yescharacteristic
134#16837547C2211yescharacteristic, complemented
135#16837541C2211yescharacteristic, complemented
136#16837539C2211yescharacteristic, complemented
137#16837539C2211yescharacteristic, complemented
138#16837534C2211yescharacteristic
139#16837531C2211yescharacteristic, complemented
140#16837530C2211yescharacteristic, complemented
141#16837514C2211yescharacteristic
142#16837514C2211yescharacteristic, complemented
143#16837514C2211yescharacteristic, complemented
144#16837511C2211yescharacteristic, complemented
145#16837505C2211yescharacteristic, complemented
146#16837505C2211yescharacteristic, complemented
147#16837504C2211yescharacteristic, complemented
148#16837503C2211yescharacteristic
149#16837503C2211yescharacteristic
150#16837503C2211yescharacteristic
151#16837503C2211yescharacteristic
152#16837503C2211yescharacteristic, complemented
153#16837503C2211yescharacteristic, complemented
154#16837503C2211yescharacteristic, complemented
155#16837503C2211yescharacteristic, complemented
156#16837503C2211yescharacteristic, complemented
157#16837503C2211yescharacteristic, complemented
158#16837502C2211yescharacteristic
159#16837501C2211yescharacteristic, complemented
160#16837500C2211yescharacteristic, complemented
161#16837499C2211yescharacteristic
162#16837499C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164SD16×Dic59C2211yescharacteristic
165SD16×Dic59C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic
167D8×Dic59C2211yescharacteristic, complemented
168#16837476C2211yescharacteristic, complemented
169#16837474C2211yescharacteristic, complemented
170#16837471C2211yescharacteristic, complemented
171C8×C22⋊D59C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic, complemented
173#16837458C2211yescharacteristic, complemented
174#16837456C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837444C2211yescharacteristic, complemented
177C2×#14273661C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic
180#16837403C2211yescharacteristic, complemented
181C2×#14273651C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic
184#102×D59C2211yescharacteristic
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic
189C22×SD16×C59C2211yescharacteristic
190C59×#548C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic
192C59×#496C2211yescharacteristic, complemented
193C59×#468C2211yescharacteristic, complemented
194C59×#466C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic
198C59×#449C2211yescharacteristic, complemented
199C59×#448C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic
201C59×#440C2211yescharacteristic
202C59×#435C2211yescharacteristic, complemented
203C2×#11745687—21no—
204C2×#11745687—21no—
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—48no—
212C2×#11745687D411yescharacteristic
213C22×Dic118—21no—
214C2×Q8×D59C2311yescharacteristic
215C22×C22⋊D59—21no—
216C22×C22⋊D59—21no—
217C2×D4×D59C2311yescharacteristic
218C23×Dic59—21no—
219C23×Dic59—21no—
220C22×C4×D59—21no—
221C2×#11745660C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227SD16×D59—24no—
228C2×#11745669C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C2×C8×D59C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273726—21no—
235#14273726C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273725—21no—
239#14273725C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273723C2311yescharacteristic
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273720—21no—
247#14273720—21no—
248#14273719—21no—
249#14273719C2311yescharacteristic
250#14273718—21no—
251#14273718C2311yescharacteristic
252#14273717—21no—
253#14273717—21no—
254#14273717—21no—
255#14273714—21no—
256#14273714—21no—
257#14273714C2311yescharacteristic
258#14273713—21no—
259#14273713—21no—
260#14273711—21no—
261#14273711—21no—
262#14273709—21no—
263#14273709—21no—
264#14273709—21no—
265#14273709—21no—
266#14273709—21no—
267#14273708—21no—
268#14273708—21no—
269#14273708—21no—
270#14273708—21no—
271#14273708—21no—
272#14273707—21no—
273#14273706—21no—
274#14273706—21no—
275#14273706—21no—
276#14273706C2311yescharacteristic
277#14273706C2311yescharacteristic
278#14273704—21no—
279#14273704—21no—
280#14273704—21no—
281#14273704—21no—
282#14273704—21no—
283#14273704—21no—
284#14273704—21no—
285#14273703—21no—
286#14273703C2311yescharacteristic
287#14273701C2311yescharacteristic
288#14273701C2311yescharacteristic
289#14273699—21no—
290#14273699—21no—
291#14273699—21no—
292#14273699—21no—
293#14273699—21no—
294#14273699—21no—
295#14273698—21no—
296#14273698—21no—
297#14273698—21no—
298#14273698C2311yescharacteristic
299#14273698C2311yescharacteristic
300#14273698C2311yescharacteristic
301#14273696—21no—
302#14273696—21no—
303#14273695—21no—
304#14273695—21no—
305Q8×Dic59—21no—
306Q8×Dic59—21no—
307Q8×Dic59C2311yescharacteristic
308Q8×Dic59C2311yescharacteristic
309Q8×Dic59C2311yescharacteristic
310Q8×Dic59C2311yescharacteristic
311Q8×Dic59C2311yescharacteristic
312C4×Dic118—21no—
313C4×Dic118—21no—
314C4×Dic118C2311yescharacteristic
315C4×Dic118C2311yescharacteristic
316#14273692—21no—
317#14273692—21no—
318#14273692D411yescharacteristic
319#14273692C2311yescharacteristic
320C4×D236C2311yescharacteristic
321D4×Dic59—21no—
322D4×Dic59—21no—
323D4×Dic59—21no—
324D4×Dic59—21no—
325D4×Dic59—21no—
326D4×Dic59—21no—
327D4×Dic59—21no—
328D4×Dic59—21no—
329D4×Dic59D411yescharacteristic
330D4×Dic59C2311yescharacteristic
331D4×Dic59C2311yescharacteristic
332D4×Dic59C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335D4×Dic59C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339#14273689C2311yescharacteristic
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59C2311yescharacteristic
344C4×C22⋊D59C2311yescharacteristic
345(C22⋊D59)⋊C4—21no—
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4D411yescharacteristic
350(C22⋊D59)⋊C4D411yescharacteristic
351#14273686—21no—
352#14273686C2311yescharacteristic
353#14273685—21no—
354#14273685D411yescharacteristic
355#14273683—21no—
356#14273683—21no—
357#14273683—21no—
358#14273683—21no—
359#14273683—21no—
360#14273683D411yescharacteristic
361#14273683D411yescharacteristic
362C2×C4⋊Dic59—21no—
363C2×C4⋊Dic59C2311yescharacteristic
364C2×C4⋊Dic59C2311yescharacteristic
365C2×C4⋊Dic59C2311yescharacteristic
366C4⋊C4×D59—21no—
367C4⋊C4×D59C2311yescharacteristic
368C4⋊C4×D59C2311yescharacteristic
369C2×C22⋊Dic59—21no—
370C2×C22⋊Dic59—21no—
371C22⋊C4×D59—21no—
372C2×C4×Dic59—21no—
373C2×C4×Dic59—21no—
374C2×C4×Dic59C2311yescharacteristic
375C2×C4×Dic59C2311yescharacteristic
376C42×D59—21no—
377C42×D59C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273661C2311yescharacteristic
380#14273661C2311yescharacteristic
381#14273661C2311yescharacteristic
382#14273661C2311yescharacteristic
383#14273661C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393C4⋊(C59⋊C8)C2311yescharacteristic
394Dic59⋊C8C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398#14273652C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273651C2311yescharacteristic
402#14273651C2311yescharacteristic
403#14273651C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273648C2311yescharacteristic
412#14273648C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273648C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424C22⋊(C59⋊C8)C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428#14273638C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C2×#41×C59C2311yescharacteristic
438C22×Q8×C59C2311yescharacteristic
439C22×D4×C59—21no—
440C22×D4×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442AGL(1,ℤ/8)×C59—24no—
443C2×SD16×C59—24no—
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×M16×C59C2311yescharacteristic
454C22×C8×C59C2311yescharacteristic
455#127×C59C2311yescharacteristic
456#124×C59—21no—
457#124×C59C2311yescharacteristic
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
461#121×C59—21no—
462#121×C59C2311yescharacteristic
463#121×C59C2311yescharacteristic
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466#120×C59—21no—
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59—21no—
469C4×D4×C59C2311yescharacteristic
470C4×D4×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C24×C59—21no—
483C24×C59—21no—
484C23×D59—21no—
485#41×C59—22no—
486#41×C59—41no—
487C2×Q8×C59—21no—
488C2×Q8×C59—22no—
489C2×Q8×C59—41no—
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—22no—
493C2×D4×C59—22no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—41no—
503C2×D4×C59—41no—
504C2×D4×C59—44no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—44no—
526C2×C22⋊D59—44no—
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—44no—
542C22×Dic59—44no—
543C22×Dic59C2×D411yescharacteristic
544C22×Dic59C2×D411yescharacteristic
545C22×Dic59C2×D411yescharacteristic
546C22×Dic59C2×D411yescharacteristic
547Q8×D59—22no—
548Q8×D59—41no—
549#11745687—24no—
550#11745687—44no—
551#11745687—44no—
552#11745687—44no—
553#11745687—44no—
554#11745687—44no—
555#11745687—44no—
556#11745687—44no—
557#11745687—44no—
558D4×D59—22no—
559D4×D59—41no—
560C2×D236C2411yescharacteristic
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—44no—
567C2×C4×D59C2×D411yescharacteristic
568C2×C4×D59C2×D411yescharacteristic
569C2×C4×D59C2411yescharacteristic
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118—21no—
573C2×Dic118—21no—
574C2×Dic118—21no—
575C2×Dic118—44no—
576C2×Dic118C2×D411yescharacteristic
577C2×Dic118C2411yescharacteristic
578SD16×C59—22no—
579SD16×C59—22no—
580SD16×C59—22no—
581SD16×C59—22no—
582SD16×C59—41no—
583SD16×C59#4114yescomplemented
584D8×C59—22no—
585D8×C59—22no—
586D8×C59—41no—
587M16×C59—22no—
588C2×C8×C59—22no—
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C2×C8×C59C2411yescharacteristic
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59C2×D411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59—21no—
602C22⋊C4×C59—21no—
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59C2×D411yescharacteristic
606C22⋊C4×C59C2×D411yescharacteristic
607C42×C59—21no—
608C42×C59C2411yescharacteristic
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59C2×D411yescharacteristic
627C22⋊Dic59C2×D411yescharacteristic
628#11745671—22no—
629#11745671—41no—
630#11745670—22no—
631#11745670—41no—
632#11745670—41no—
633#11745669—41no—
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)⋊C4C2×D411yescharacteristic
640(C2×D59)⋊C4C2×D411yescharacteristic
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694#11745664—41no—
695C2×C59⋊C8—41no—
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700#11745660—22no—
701C8×D59—22no—
702C8×D59—41no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59—21no—
706C23×C59—21no—
707C23×C59—42no—
708C23×C59—42no—
709C23×C59—42no—
710C23×C59—42no—
711C23×C59—81no—
712C23×C59—81no—
713C23×C59C22×D411yescharacteristic
714C23×C59C22×D411yescharacteristic
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—81no—
719C22×D59C22×D411yescharacteristic
720Q8×C59—21no—
721Q8×C59—21no—
722Q8×C59—21no—
723Q8×C59—42no—
724Q8×C59C2×#4112yescomplemented
725D4×C59—22no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—21no—
733D4×C59—42no—
734D4×C59—42no—
735D4×C59—42no—
736D4×C59—42no—
737D4×C59—42no—
738D4×C59—42no—
739D4×C59—42no—
740D4×C59—81no—
741D4×C59C2×#4112yes—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—42no—
751C2×C4×C59—42no—
752C2×C4×C59—42no—
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C2511yescharacteristic
758C22⋊D59—22no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—81no—
768C22⋊D59—81no—
769C22⋊D59AGL(1,ℤ/8)14yescomplemented
770C2×Dic59—22no—
771C2×Dic59—22no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—41no—
780C2×Dic59—41no—
781C2×Dic59—42no—
782C2×Dic59—42no—
783C2×Dic59—42no—
784C2×Dic59—42no—
785C2×Dic59—42no—
786C2×Dic59—42no—
787C2×Dic59—42no—
788C2×Dic59—42no—
789C2×Dic59—42no—
790C2×Dic59—42no—
791C2×Dic59—42no—
792C2×Dic59—42no—
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800D236—21no—
801D236—21no—
802C4×D59—22no—
803C4×D59—21no—
804C4×D59—21no—
805C4×D59—41no—
806C4×D59—42no—
807C4×D59—42no—
808C4×D59—42no—
809C4×D59—42no—
810C4×D59—42no—
811Dic118—22no—
812Dic118—21no—
813Dic118—21no—
814Dic118—42no—
815Dic118—42no—
816Dic118—42no—
817Dic118—42no—
818Dic118—42no—
819C8×C59—21no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59C2×#4112yescomplemented
823C59⋊C8—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827#61452—591nomaximal, Sylow
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—22no—
832C22×C59—21no—
833C22×C59—21no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—84no—
846C22×C59—84no—
847C22×C59C2×AGL(1,ℤ/8)12yes—
848C22×C59C23×D411yescharacteristic
849C2×D59—21no—
850C2×D59—21no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—84no—
855C2×D59C2×AGL(1,ℤ/8)12yes—
856C4×C59—21no—
857C4×C59—22no—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59C22×#4111yescharacteristic
865C4×C59#58511yescharacteristic
866Dic59—21no—
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—21no—
871Dic59—21no—
872Dic59—41no—
873Dic59—41no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59C2×AGL(1,ℤ/8)12yes—
880#3482—591no—
881D4×#41—591no—
882#3397—591no—
883#3386—591no—
884#3368—591no—
885#3367—591no—
886#3343—591no—
887#3343—591no—
888#3334—591no—
889#3310—591no—
890#3310—591no—
891#3308—591no—
892#3308—591no—
893#3298—591no—
894#3294—591no—
895D4×SD16—591no—
896#3265—591no—
897#3265D5911yescharacteristic, complemented
898#3182—591no—
899#3180—591no—
900#3180—591no—
901#3115—591no—
902#3114—591no—
903#3114—591no—
904#3112—591no—
905#3112—591no—
906#3110—591no—
907#2970—591no—
908C4×AGL(1,ℤ/8)—591no—
909C2×#440—591no—
910C2×#440—591no—
911C2×C59—22no—
912C2×C59—42no—
913C2×C59—41no—
914C2×C59—81no—
915C2×C59—81no—
916C2×C59—81no—
917C2×C59D4×#4111yescharacteristic
918C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
919C2×C59#358611yescharacteristic
920D59—22no—
921D59—81no—
922C22×#41—1181no—
923C2×AGL(1,ℤ/8)C2×D5911yescharacteristic
924C22×SD16—591no—
925C22×SD16C2×D5911yescharacteristic
926#557—591no—
927#556—591no—
928#556—1181no—
929#552—591no—
930#552—591no—
931#552—1181no—
932#552—1181no—
933#550—591no—
934D4×Q8—591no—
935D4×Q8—591no—
936#548—591no—
937#548—1181no—
938#548C2×D5911yescharacteristic, complemented
939#547—591no—
940#547—591no—
941#547—591no—
942#547—591no—
943#547—1181no—
944#546—1181no—
945#546—1181no—
946#546—1181no—
947D42—591no—
948D42—591no—
949D42C2×D5911yescharacteristic
950#533—591no—
951#533—1181no—
952#532—591no—
953#532—591no—
954#532—591no—
955#529—591no—
956#529—591no—
957#529—1181no—
958#529—1181no—
959#525—1181no—
960#525—1181no—
961#525—1181no—
962C4×#41—591no—
963C4×#41—591no—
964C4×#41—1181no—
965C2×C4×Q8—591no—
966C2×C4×Q8—591no—
967C2×C4×D4—591no—
968C2×C4×D4—591no—
969C2×C4×D4—591no—
970#501—591no—
971#501—591no—
972#500—591no—
973#496—591no—
974#496C2×D5911yescharacteristic, complemented
975#492—591no—
976#490—591no—
977#490—591no—
978#489—591no—
979#489—591no—
980#487—591no—
981#486—591no—
982#484—591no—
983#484—591no—
984#483—591no—
985#483—591no—
986#482—591no—
987#482—591no—
988#480—591no—
989#480—591no—
990#480—591no—
991#480—591no—
992#480—591no—
993#480—591no—
994#478—591no—
995#478—591no—
996#478—591no—
997#478—591no—
998#477—591no—
999#477—591no—
1000#477—591no—
1001#477—591no—
1002#475—591no—
1003#474—591no—
1004#474—591no—
1005#474—591no—
1006#468—591no—
1007#468—591no—
1008#468—591no—
1009#468C2×D5911yescharacteristic, complemented
1010#466—591no—
1011#466—591no—
1012#466—591no—
1013#466C2×D5911yescharacteristic, complemented
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#465—591no—
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463C2×D5911yescharacteristic
1022#461—591no—
1023#461—591no—
1024#460—591no—
1025#460—591no—
1026#460—591no—
1027#460—591no—
1028#460C2×D5911yescharacteristic, complemented
1029#459—591no—
1030#450—591no—
1031#450—591no—
1032#450—591no—
1033#450C2×D5911yescharacteristic
1034#449—591no—
1035#449C2×D5911yescharacteristic, complemented
1036#448—591no—
1037#448—591no—
1038#448—591no—
1039#448C2×D5911yescharacteristic, complemented
1040#447—591no—
1041#447C2×D5911yescharacteristic
1042#446—591no—
1043#446—591no—
1044#442—591no—
1045#442—591no—
1046#442—591no—
1047#442—591no—
1048#440—591no—
1049#440—591no—
1050#440—591no—
1051#440—591no—
1052#440—591no—
1053#440—591no—
1054#440—591no—
1055#440—591no—
1056#440—591no—
1057#440—591no—
1058#440—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062#440—591no—
1063#440—591no—
1064#440—591no—
1065#440—591no—
1066#440—591no—
1067#440C2×D5911yescharacteristic
1068C4×SD16—591no—
1069C4×SD16—591no—
1070C4×D8—591no—
1071C4×D8—591no—
1072#435—591no—
1073#435—591no—
1074#435—591no—
1075#435C2×D5911yescharacteristic, complemented
1076C8×D4—591no—
1077C8×D4—591no—
1078#432—591no—
1079#432—591no—
1080#432—591no—
1081#428—591no—
1082C2×#107—591no—
1083C2×#107—591no—
1084#418—591no—
1085#417—591no—
1086C2×#103—591no—
1087C2×#103—591no—
1088C2×#102—591no—
1089C2×#102—591no—
1090C4×M16—591no—
1091C2×#97—591no—
1092C2×#97—591no—
1093C59#6145211yescharacteristic, complemented, Sylow
1094C2×#41—591no—
1095C2×#41—1181no—
1096C2×#41—1181no—
1097C2×#41—1181no—
1098C2×#41—1181no—
1099C2×#41—1181no—
1100C2×#41—1181no—
1101C2×#41—1181no—
1102C2×#41—1181no—
1103C2×#41—2368no—
1104C2×#41C22×D5911yescharacteristic
1105C22×Q8—591no—
1106C22×Q8—1181no—
1107C22×Q8C22×D5911yescharacteristic
1108C22×D4—21no—
1109C22×D4—591no—
1110C22×D4—1181no—
1111C22×D4—1181no—
1112C22×D4C22×D5911yescharacteristic
1113C22×D4C22×D5911yescharacteristic
1114C23×C4—1181no—
1115C23×C4—1181no—
1116C23×C4—1181no—
1117AGL(1,ℤ/8)—24no—
1118C2×SD16—24no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—1184no—
1126C2×SD16C22×D5911yescharacteristic
1127C2×SD16C22×D5911yescharacteristic
1128C2×SD16C22×D5911yescharacteristic
1129C2×SD16C22×D5911yescharacteristic
1130C2×SD16C22×D5911yescharacteristic
1131C2×SD16C22×D5911yescharacteristic
1132C2×D8—591no—
1133C2×D8C22×D5911yescharacteristic
1134C2×D8C22×D5911yescharacteristic
1135C2×D8C22×D5911yescharacteristic
1136C2×M16—591no—
1137C2×M16C22×D5911yescharacteristic
1138C22×C8—591no—
1139C22×C8—591no—
1140C22×C8—591no—
1141C22×C8C22×D5911yescharacteristic
1142C4⋊Q8—591no—
1143C4⋊Q8—591no—
1144C4⋊Q8—591no—
1145C4⋊Q8—591no—
1146C4⋊Q8—591no—
1147C4⋊Q8—1181no—
1148C4⋊Q8—1181no—
1149#127—591no—
1150#127—591no—
1151#127C22×D5911yescharacteristic
1152#126—1181no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#125—591no—
1159#125—591no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125—1181no—
1165#124—21no—
1166#124—591no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124C22×D5911yescharacteristic
1172#123—1181no—
1173#123—1181no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183#123—1181no—
1184C22⋊Q8—21no—
1185C22⋊Q8—591no—
1186C22⋊Q8—591no—
1187C22⋊Q8—591no—
1188C22⋊Q8—1181no—
1189C22⋊Q8—1181no—
1190C22⋊Q8—1181no—
1191C22⋊Q8—1181no—
1192C22⋊Q8—1181no—
1193C22⋊Q8—1181no—
1194C22⋊Q8—1181no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8C22×D5911yescharacteristic
1201#121—21no—
1202#121—21no—
1203#121—591no—
1204#121—591no—
1205#121—591no—
1206#121—591no—
1207#121—591no—
1208#121—1181no—
1209#121—1181no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121C22×D5911yescharacteristic
1218#121C22×D5911yescharacteristic
1219#121C22×D5911yescharacteristic
1220#120—21no—
1221#120—21no—
1222#120—1181no—
1223#120—1181no—
1224#120—1181no—
1225#120—1181no—
1226C4×Q8—591no—
1227C4×Q8—591no—
1228C4×Q8—591no—
1229C4×Q8—591no—
1230C4×Q8—591no—
1231C4×Q8—591no—
1232C4×Q8—591no—
1233C4×Q8—591no—
1234C4×Q8—591no—
1235C4×Q8—1181no—
1236C4×Q8—1181no—
1237C4×Q8—1181no—
1238C4×Q8—1181no—
1239C4×Q8—1181no—
1240C4×Q8—1181no—
1241C4×Q8C22×D5911yescharacteristic
1242C4×D4—21no—
1243C4×D4—591no—
1244C4×D4—591no—
1245C4×D4—591no—
1246C4×D4—591no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—591no—
1255C4×D4—591no—
1256C4×D4—591no—
1257C4×D4—591no—
1258C4×D4—591no—
1259C4×D4—1181no—
1260C4×D4—1181no—
1261C4×D4—1181no—
1262C4×D4—1181no—
1263C4×D4—1181no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4—1181no—
1269C4×D4—1181no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4C22×D5911yescharacteristic
1275C4×D4C22×D5911yescharacteristic
1276#117—591no—
1277#117—591no—
1278#117—591no—
1279#117—591no—
1280#117—1181no—
1281#117—1181no—
1282#117—1181no—
1283#117—1181no—
1284#117—1181no—
1285#117—1181no—
1286#117—1181no—
1287C2×C4⋊C4—591no—
1288C2×C4⋊C4—591no—
1289C2×C4⋊C4—591no—
1290C2×C4⋊C4—591no—
1291C2×C4⋊C4—591no—
1292C2×C4⋊C4—1181no—
1293C2×C4⋊C4—1181no—
1294C2×C22⋊C4—1181no—
1295C2×C22⋊C4—1181no—
1296C2×C22⋊C4—1181no—
1297C2×C42—591no—
1298C2×C42—591no—
1299C2×C42—591no—
1300C2×C42—1181no—
1301C2×C42—1181no—
1302C2×C42—1181no—
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107—591no—
1308#107—591no—
1309#107—591no—
1310#107—591no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317#106—591no—
1318#106—591no—
1319C4⋊C8—591no—
1320C4⋊C8—591no—
1321C4⋊C8—591no—
1322C4⋊C8—591no—
1323C4⋊C8—591no—
1324C4⋊C8C22×D5911yescharacteristic
1325#103—591no—
1326#103—591no—
1327#103—591no—
1328#103—591no—
1329#103—591no—
1330#103—591no—
1331#103—591no—
1332#103—591no—
1333#103—591no—
1334#103—591no—
1335#103C22×D5911yescharacteristic
1336#103C22×D5911yescharacteristic
1337#102—591no—
1338#102—591no—
1339#102—591no—
1340#102—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102C22×D5911yescharacteristic
1354#102C22×D5911yescharacteristic
1355#102C22×D5911yescharacteristic
1356#102C22×D5911yescharacteristic
1357C22⋊C8—591no—
1358C22⋊C8—591no—
1359C22⋊C8—591no—
1360C22⋊C8—591no—
1361C22⋊C8C22×D5911yescharacteristic
1362C22⋊C8C22×D5911yescharacteristic
1363#97—591no—
1364#97—591no—
1365#97—591no—
1366#97—591no—
1367#97—591no—
1368#97—591no—
1369#97—591no—
1370#97C22×D5911yescharacteristic
1371C4×C8—591no—
1372C4×C8—591no—
1373C24—21no—
1374C24—21no—
1375C24—1181no—
1376#41—22no—
1377#41—41no—
1378#41—1184no—
1379#41—2364no—
1380#41—2364no—
1381#41—2364no—
1382#41—2364no—
1383#41—2364no—
1384#41—2364no—
1385#41—2364no—
1386#41—2364no—
1387C2×Q8—21no—
1388C2×Q8—22no—
1389C2×Q8—41no—
1390C2×Q8—591no—
1391C2×Q8—591no—
1392C2×Q8—1181no—
1393C2×Q8—1181no—
1394C2×Q8—1181no—
1395C2×Q8—1181no—
1396C2×Q8—1181no—
1397C2×Q8—1182no—
1398C2×Q8—2364no—
1399C2×Q8—2361no—
1400C2×Q8C23×D5911yescharacteristic
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—44no—
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1182no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—2361no—
1430C2×D4—2364no—
1431C2×D4—2364no—
1432C2×D4D4×D5911yescharacteristic
1433C2×D4C23×D5911yescharacteristic
1434C2×D4C23×D5911yescharacteristic
1435C2×D4C23×D5911yescharacteristic
1436C2×D4C23×D5911yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—591no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—591no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—2364no—
1465C22×C4—2364no—
1466C22×C4—2364no—
1467C22×C4C23×D5911yescharacteristic
1468C22×C4C23×D5911yescharacteristic
1469SD16—22no—
1470SD16—22no—
1471SD16—22no—
1472SD16—22no—
1473SD16—41no—
1474SD16—1182no—
1475SD16—1182no—
1476SD16—1182no—
1477SD16—2361no—
1478SD16—2361no—
1479SD16—2361no—
1480SD16#1174568714yescomplemented
1481D8—22no—
1482D8—22no—
1483D8—41no—
1484D8—2361no—
1485M16—22no—
1486M16—2361no—
1487C2×C8—22no—
1488C2×C8—591no—
1489C2×C8—591no—
1490C2×C8—591no—
1491C2×C8—591no—
1492C2×C8—1182no—
1493C2×C8—2361no—
1494C2×C8—2361no—
1495C2×C8C23×D5911yescharacteristic
1496C2×C8C23×D5911yescharacteristic
1497C2×C8C23×D5911yescharacteristic
1498C2×C8C23×D5911yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—591no—
1502C4⋊C4—591no—
1503C4⋊C4—591no—
1504C4⋊C4—591no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—1181no—
1513C4⋊C4—1181no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4D4×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
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—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4D4×D5911yescharacteristic
1574C22⋊C4D4×D5911yescharacteristic
1575C42—21no—
1576C42—591no—
1577C42—591no—
1578C42—591no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—591no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42—1181no—
1592C42—1181no—
1593C42C23×D5911yescharacteristic
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—42no—
1599C23—42no—
1600C23—42no—
1601C23—42no—
1602C23—81no—
1603C23—81no—
1604C23—591no—
1605C23—1181no—
1606C23—4721no—
1607C23—2362no—
1608C23—2362no—
1609C23C2×D4×D5911yescharacteristic
1610C23C2×D4×D5911yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—42no—
1615Q8—1182no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—2362no—
1619Q8—2362no—
1620Q8—2362no—
1621Q8—2362no—
1622Q8—2362no—
1623Q8C2×#1174568712yescomplemented
1624D4—22no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—42no—
1633D4—42no—
1634D4—42no—
1635D4—42no—
1636D4—42no—
1637D4—42no—
1638D4—42no—
1639D4—81no—
1640D4—594no—
1641D4—1182no—
1642D4—1181no—
1643D4—1181no—
1644D4—4721no—
1645D4—4721no—
1646D4—2362no—
1647D4—2362no—
1648D4—2362no—
1649D4—2362no—
1650D4—2362no—
1651D4—2362no—
1652D4—2362no—
1653D4—2362no—
1654D4C2×#1174568712yes—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—42no—
1664C2×C4—42no—
1665C2×C4—42no—
1666C2×C4—591no—
1667C2×C4—591no—
1668C2×C4—591no—
1669C2×C4—591no—
1670C2×C4—591no—
1671C2×C4—591no—
1672C2×C4—591no—
1673C2×C4—1182no—
1674C2×C4—1182no—
1675C2×C4—1182no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—2361no—
1686C2×C4—2362no—
1687C2×C4—2362no—
1688C2×C4—2362no—
1689C2×C4—2362no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2361no—
1695C2×C4—2361no—
1696C2×C4—2362no—
1697C2×C4—2362no—
1698C2×C4—2362no—
1699C2×C4—2362no—
1700C2×C4—2362no—
1701C2×C4—2362no—
1702C2×C4—2362no—
1703C2×C4—2362no—
1704C2×C4—2362no—
1705C2×C4C2×D4×D5911yescharacteristic
1706C2×C4C2×D4×D5911yescharacteristic
1707C2×C4C2×D4×D5911yescharacteristic
1708C2×C4C2×D4×D5911yescharacteristic
1709C2×C4C24×D5911yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—1181no—
1714C8—1181no—
1715C8—1181no—
1716C8—1181no—
1717C8C2×#1174568712yescomplemented
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—21no—
1722C22—22no—
1723C22—21no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—84no—
1736C22—84no—
1737C22—592no—
1738C22—1181no—
1739C22—1181no—
1740C22—4724no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22AGL(1,ℤ/8)×D5912yes—
1745C22C22×D4×D5911yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—22no—
1750C4—21no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—592no—
1755C4—1181no—
1756C4—1181no—
1757C4—1181no—
1758C4—1181no—
1759C4—1181no—
1760C4—1181no—
1761C4—2361no—
1762C4—2361no—
1763C4—2361no—
1764C4—2361no—
1765C4—2361no—
1766C4—2361no—
1767C4—2361no—
1768C4C22×#1174568711yescharacteristic
1769C4#1683823711yescharacteristic
1770C2—22no—
1771C2—41no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—81no—
1776C2—1182no—
1777C2—4721no—
1778C2D4×#1174568711yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1780C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3265C2
socleC22×C59C23×D4
hypercenter#3265D59
hypocenterC59#61452
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #21437712C2semidirect
2. D4×#11745687C2semidirect
3. #21437113C2semidirect
4. #21437018C2semidirect
5. #21436820C2semidirect
6. #21436809C2semidirect
7. #21436538C2semidirect
8. #21436531C2semidirect
9. #21436440C2semidirect
10. #21436117C2semidirect
11. #21436110C2semidirect
12. #21436087C2semidirect
13. #21436080C2semidirect
14. #21435954C2semidirect
15. #21435902C2semidirect
16. SD16×C22⋊D59C2semidirect
17. #21435585C2semidirect
18. #21434809C2semidirect
19. #21434791C2semidirect
20. #21434789C2semidirect
21. #21434240C2semidirect
22. #21434233C2semidirect
23. #21434229C2semidirect
24. #21434217C2semidirect
25. #21434213C2semidirect
26. #21434190C2semidirect
27. #21433106C2semidirect
28. AGL(1,ℤ/8)×Dic59C2semidirect
29. C2×#16837503C2semidirect
30. #440×D59C2semidirect
31. C59×#3265C2semidirect
34. #16838128C22semidirect
36. #16838121C22semidirect
38. #16838092C22semidirect
40. #16838086C22semidirect
43. Q8×C22⋊D59C22semidirect
44. #16838059C22semidirect
50. #16838052C22semidirect
57. #16837954C22semidirect
62. #16837933C22semidirect
64. #16837931C22semidirect
68. #41×Dic59C22semidirect
71. C2×Q8×Dic59C22semidirect
72. C4×Q8×D59C22semidirect
76. #16837811C22semidirect
77. #16837810C22semidirect
78. #16837806C22semidirect
79. #16837790C22semidirect
80. #16837773C22semidirect
81. #16837766C22semidirect
82. #16837765C22semidirect
83. #16837761C22semidirect
84. #16837760C22semidirect
85. #16837751C22semidirect
86. #16837747C22semidirect
87. #16837738C22semidirect
88. #16837735C22semidirect
89. #16837733C22semidirect
90. #16837731C22semidirect
91. #16837727C22semidirect
92. #16837723C22semidirect
93. #16837716C22semidirect
94. #16837714C22semidirect
95. #16837714C22semidirect
96. #16837714C22semidirect
97. #16837713C22semidirect
98. #16837713C22semidirect
100. #16837704C22semidirect
101. #16837703C22semidirect
103. #16837698C22semidirect
104. #16837697C22semidirect
105. #16837695C22semidirect
106. #16837695C22semidirect
107. #16837685C22semidirect
109. #16837680C22semidirect
110. #16837680C22semidirect
111. #16837650C22semidirect
112. #16837648C22semidirect
113. #16837646C22semidirect
114. #16837636C22semidirect
115. #16837635C22semidirect
116. #16837635C22semidirect
117. #16837631C22semidirect
118. #16837629C22semidirect
119. #16837628C22semidirect
120. #16837628C22semidirect
122. #16837615C22semidirect
123. #16837614C22semidirect
125. #16837605C22semidirect
126. #16837600C22semidirect
127. #16837600C22semidirect
128. #16837600C22semidirect
129. #16837599C22semidirect
130. #16837595C22semidirect
134. #16837547C22semidirect
135. #16837541C22semidirect
136. #16837539C22semidirect
137. #16837539C22semidirect
139. #16837531C22semidirect
140. #16837530C22semidirect
142. #16837514C22semidirect
143. #16837514C22semidirect
144. #16837511C22semidirect
145. #16837505C22semidirect
146. #16837505C22semidirect
147. #16837504C22semidirect
152. #16837503C22semidirect
153. #16837503C22semidirect
154. #16837503C22semidirect
155. #16837503C22semidirect
156. #16837503C22semidirect
157. #16837503C22semidirect
159. #16837501C22semidirect
160. #16837500C22semidirect
162. #16837499C22semidirect
163. #16837499C22semidirect
165. SD16×Dic59C22semidirect
167. D8×Dic59C22semidirect
168. #16837476C22semidirect
169. #16837474C22semidirect
170. #16837471C22semidirect
171. C8×C22⋊D59C22semidirect
172. (C22⋊D59)⋊C8C22semidirect
173. #16837458C22semidirect
174. #16837456C22semidirect
175. #16837456C22semidirect
176. #16837444C22semidirect
177. C2×#14273661C22semidirect
178. #107×D59C22semidirect
180. #16837403C22semidirect
181. C2×#14273651C22semidirect
182. #103×D59C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
190. C59×#548C22semidirect
192. C59×#496C22semidirect
193. C59×#468C22semidirect
194. C59×#466C22semidirect
196. C59×#460C22semidirect
198. C59×#449C22semidirect
199. C59×#448C22semidirect
202. C59×#435C22semidirect
583. SD16×C59#41semidirect
724. Q8×C59C2×#41semidirect
769. C22⋊D59AGL(1,ℤ/8)semidirect
822. C8×C59C2×#41semidirect
897. #3265D59semidirect
938. #548C2×D59semidirect
974. #496C2×D59semidirect
1009. #468C2×D59semidirect
1013. #466C2×D59semidirect
1028. #460C2×D59semidirect
1035. #449C2×D59semidirect
1039. #448C2×D59semidirect
1075. #435C2×D59semidirect
1093. C59#61452semidirect
1480. SD16#11745687semidirect
1623. Q8C2×#11745687semidirect
1717. C8C2×#11745687semidirect

Maximal subgroups

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

subgroupindex
#214377122
D4×#117456872
#214371132
#214370182
#214368202
#214368092
#214365382
#214365312
#214364402
#214361172
#214361102
#214360872
#214360802
#214359542
#214359022
SD16×C22⋊D592
#214355852
#214348092
#214347912
#214347892
#214342402
#214342332
#214342292
#214342172
#214342132
#214341902
#214331062
AGL(1,ℤ/8)×Dic592
C2×#168375032
#440×D592
C59×#32652
#6145259