Finite Group Databasebeta

← #29470622

Subgroups — #29470622

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#21437710C211yesmaximal, characteristic, complemented
2D4×#11745687C211yesmaximal, characteristic, complemented
3#21437111C211yesmaximal, characteristic, complemented
4#21437012C211yesmaximal, characteristic, complemented
5#21436822C211yesmaximal, characteristic, complemented
6#21436815C211yesmaximal, characteristic, complemented
7#21436536C211yesmaximal, characteristic, complemented
8#21436529C211yesmaximal, characteristic, complemented
9#21436438C211yesmaximal, characteristic, complemented
10#21436118C211yesmaximal, characteristic, complemented
11#21436089C211yesmaximal, characteristic, complemented
12#21436082C211yesmaximal, characteristic, complemented
13#21435956C211yesmaximal, characteristic, complemented
14#21435905C211yesmaximal, characteristic, complemented
15#21435790C211yesmaximal, characteristic, complemented
16#21435589C211yesmaximal, characteristic, complemented
17#21435587C211yesmaximal, characteristic, complemented
18#21434809C211yesmaximal, characteristic, complemented
19#21434793C211yesmaximal, characteristic, complemented
20#21434787C211yesmaximal, characteristic, complemented
21#21434242C211yesmaximal, characteristic, complemented
22#21434239C211yesmaximal, characteristic, complemented
23#21434235C211yesmaximal, characteristic, complemented
24#21434217C211yesmaximal, characteristic, complemented
25#21434215C211yesmaximal, characteristic, complemented
26#21434190C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28#21432900C211yesmaximal, characteristic, complemented
29C2×#16837499C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3310C211yesmaximal, characteristic, complemented
32C22×#11745687—21no—
33C2×#14273753C2211yescharacteristic
34C22×#11745670C2211yescharacteristic
35C2×SD16×D59C2211yescharacteristic
36#16838129C2211yescharacteristic, complemented
37#16838124C2211yescharacteristic, complemented
38#16838119—21no—
39#16838091C2211yescharacteristic, complemented
40#16838085—21no—
41#16838084—21no—
42#16838072C2211yescharacteristic
43D4×Dic118C2211yescharacteristic
44#16838065C2211yescharacteristic, complemented
45#16838062C2211yescharacteristic, complemented
46#16838061C2211yescharacteristic, complemented
47#16838058—21no—
48#16838056C2211yescharacteristic
49#16838053C2211yescharacteristic, complemented
50#16838052C2211yescharacteristic
51#16838052C2211yescharacteristic
52#16838050—21no—
53#16838046—21no—
54#16838039—21no—
55#16838039—21no—
56D4×C22⋊D59C2211yescharacteristic
57D4×C22⋊D59C2211yescharacteristic
58#16837958—21no—
59#16837954C2211yescharacteristic, complemented
60#16837950C2211yescharacteristic
61#16837947C2211yescharacteristic
62#16837947C2211yescharacteristic
63#16837938C2211yescharacteristic, complemented
64#16837937C2211yescharacteristic, complemented
65#16837935—21no—
66#16837929—21no—
67#16837912—21no—
68#16837908—21no—
69#16837908—21no—
70#16837870—21no—
71#16837870C2211yescharacteristic, complemented
72C4×#11745687C2211yescharacteristic
73C2×#14273692C2211yescharacteristic, complemented
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×D4×Dic59C2211yescharacteristic
76C2×D4×Dic59C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic
78#16837812C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837806C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837762C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837738C2211yescharacteristic, complemented
90#16837735C2211yescharacteristic, complemented
91#16837734C2211yescharacteristic, complemented
92#16837730C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837717C2211yescharacteristic, complemented
95#16837716C2211yescharacteristic, complemented
96#16837715C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837700C2211yescharacteristic
100#16837700C2211yescharacteristic, complemented
101#16837699C2211yescharacteristic, complemented
102#16837698C2211yescharacteristic, complemented
103#16837697C2211yescharacteristic, complemented
104#16837696C2211yescharacteristic, complemented
105#16837696C2211yescharacteristic, complemented
106#16837686C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837680C2211yescharacteristic
109#16837680C2211yescharacteristic, complemented
110#16837650C2211yescharacteristic, complemented
111#16837648C2211yescharacteristic, complemented
112#16837646C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837633C2211yescharacteristic, complemented
118#16837630C2211yescharacteristic, complemented
119#16837630C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic
121#16837619C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic
124#16837605C2211yescharacteristic
125#16837605C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837601C2211yescharacteristic, complemented
129#16837599C2211yescharacteristic, complemented
130#16837596C2211yescharacteristic, complemented
131#16837554C2211yescharacteristic
132#16837553C2211yescharacteristic
133#16837549C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic, complemented
135#16837543C2211yescharacteristic, complemented
136#16837540C2211yescharacteristic, complemented
137#16837539C2211yescharacteristic, complemented
138#16837539C2211yescharacteristic, complemented
139#16837537C2211yescharacteristic
140#16837536C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837513C2211yescharacteristic, complemented
144#16837511C2211yescharacteristic
145#16837511C2211yescharacteristic, complemented
146#16837511C2211yescharacteristic, complemented
147#16837505C2211yescharacteristic, complemented
148#16837504C2211yescharacteristic, complemented
149#16837503C2211yescharacteristic
150#16837503C2211yescharacteristic, complemented
151#16837503C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic
153#16837501C2211yescharacteristic, complemented
154#16837501C2211yescharacteristic, complemented
155#16837500C2211yescharacteristic, complemented
156#16837499C2211yescharacteristic
157#16837499C2211yescharacteristic
158#16837499C2211yescharacteristic
159#16837499C2211yescharacteristic
160#16837499C2211yescharacteristic, complemented
161#16837499C2211yescharacteristic, complemented
162#16837499C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837493C2211yescharacteristic
167#16837493C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic
169#16837482C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837458C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837445C2211yescharacteristic, complemented
179C2×#14273660C2211yescharacteristic, complemented
180#107×D59C2211yescharacteristic, complemented
181#16837404C2211yescharacteristic, complemented
182C2×#14273652C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189D42×C59C2211yescharacteristic
190C59×#490C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic
194C59×#468C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic
198C59×#450C2211yescharacteristic
199C59×#440C2211yescharacteristic
200C59×#435C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic
202C2×#102×C59C2211yescharacteristic
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745687—21no—
206C2×#11745687—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—48no—
213C2×#11745687D411yescharacteristic
214C22×Dic118—21no—
215C22×Dic118C2311yescharacteristic
216C2×Q8×D59C2311yescharacteristic
217C22×C22⋊D59—21no—
218C22×C22⋊D59—21no—
219C2×D4×D59C2311yescharacteristic
220C23×Dic59—21no—
221C23×Dic59—21no—
222C22×C4×D59—21no—
223#14273753—24no—
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745670—24no—
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234SD16×D59—24no—
235C2×D472C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C22×C59⋊C8C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242C2×C8×D59C2311yescharacteristic
243#14273727C2311yescharacteristic
244#14273726—21no—
245#14273726—21no—
246#14273726C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273725C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273722—21no—
253#14273722—21no—
254#14273722—21no—
255#14273721—21no—
256#14273720—21no—
257#14273719—21no—
258#14273718C2311yescharacteristic
259#14273717—21no—
260#14273717—21no—
261#14273717—21no—
262#14273716C2311yescharacteristic
263#14273715C2311yescharacteristic
264#14273714—21no—
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273712—21no—
270#14273712—21no—
271#14273711—21no—
272#14273711—21no—
273#14273711—21no—
274#14273710—21no—
275#14273709—21no—
276#14273709—21no—
277#14273709—21no—
278#14273708—21no—
279#14273708—21no—
280#14273707—21no—
281#14273707C2311yescharacteristic
282#14273706—21no—
283#14273706C2311yescharacteristic
284#14273705—21no—
285#14273705—21no—
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273704—21no—
290#14273704—21no—
291#14273704—21no—
292#14273704—21no—
293#14273704—21no—
294#14273704—21no—
295#14273702C2311yescharacteristic
296#14273701C2311yescharacteristic
297#14273701C2311yescharacteristic
298#14273701C2311yescharacteristic
299#14273700—21no—
300#14273699—21no—
301#14273699—21no—
302#14273699—21no—
303#14273699—21no—
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273698—21no—
308#14273698—21no—
309#14273698C2311yescharacteristic
310#14273698C2311yescharacteristic
311#14273696—21no—
312#14273696—21no—
313#14273695—21no—
314#14273695—21no—
315Q8×Dic59C2311yescharacteristic
316C4×Dic118—21no—
317C4×Dic118C2311yescharacteristic
318C4×Dic118C2311yescharacteristic
319#14273692—21no—
320#14273692—21no—
321#14273692—21no—
322#14273692—21no—
323#14273692—21no—
324#14273692D411yescharacteristic
325#14273692C2311yescharacteristic
326#14273692C2311yescharacteristic
327#14273692C2311yescharacteristic
328#14273692C2311yescharacteristic
329#14273692C2311yescharacteristic
330C4×D236C2311yescharacteristic
331D4×Dic59—21no—
332D4×Dic59—21no—
333D4×Dic59—21no—
334D4×Dic59—21no—
335D4×Dic59—21no—
336D4×Dic59D411yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340D4×Dic59C2311yescharacteristic
341D4×Dic59C2311yescharacteristic
342D4×Dic59C2311yescharacteristic
343D4×Dic59C2311yescharacteristic
344#14273689—21no—
345#14273689—21no—
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349C4×C22⋊D59—21no—
350C4×C22⋊D59C2311yescharacteristic
351C4×C22⋊D59C2311yescharacteristic
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4D411yescharacteristic
361(C22⋊D59)⋊C4D411yescharacteristic
362#14273685—21no—
363#14273685—21no—
364#14273685D411yescharacteristic
365#14273684—21no—
366#14273684—21no—
367#14273684—21no—
368#14273683—21no—
369#14273683D411yescharacteristic
370#14273683D411yescharacteristic
371C2×C4⋊Dic59C2311yescharacteristic
372C2×C4⋊Dic59C2311yescharacteristic
373C2×Dic59⋊C4—21no—
374C4⋊C4×D59—21no—
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C2×C22⋊Dic59—21no—
378C2×C22⋊Dic59—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59C2311yescharacteristic
382C2×C4×Dic59C2311yescharacteristic
383C42×D59—21no—
384C42×D59—21no—
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C22×D4×C59—21no—
440C22×D4×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447#127×C59C2311yescharacteristic
448#126×C59—21no—
449#125×C59—21no—
450#125×C59C2311yescharacteristic
451#123×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453C22⋊Q8×C59C2311yescharacteristic
454#121×C59—21no—
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457#120×C59—21no—
458#120×C59—21no—
459C4×Q8×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59—21no—
463#117×C59C2311yescharacteristic
464C2×C4⋊C4×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×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—
485C2×Q8×C59C2411yescharacteristic
486C2×D4×C59—22no—
487C2×D4×C59—22no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—41no—
495C2×D4×C59—41no—
496C2×D4×C59—44no—
497C2×D4×C59C2×D411yescharacteristic
498C2×D4×C59C2411yescharacteristic
499C2×D4×C59C2411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C22×C4×C59—21no—
502C22×C4×C59—21no—
503C22×C4×C59C2411yescharacteristic
504C22×C4×C59C2411yescharacteristic
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—44no—
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—44no—
531C22×Dic59—44no—
532C22×Dic59C2×D411yescharacteristic
533C22×Dic59C2×D411yescharacteristic
534C22×Dic59C2×D411yescharacteristic
535C22×Dic59C2×D411yescharacteristic
536Q8×D59—22no—
537Q8×D59—41no—
538#11745687—24no—
539#11745687—44no—
540#11745687—44no—
541#11745687—44no—
542#11745687—44no—
543#11745687—44no—
544#11745687—44no—
545#11745687—44no—
546D4×D59—22no—
547D4×D59—41no—
548#11745685—22no—
549#11745685—41no—
550#11745685—44no—
551C2×D236—21no—
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—44no—
563C2×C4×D59C2×D411yescharacteristic
564C2×C4×D59C2×D411yescharacteristic
565C2×C4×D59C2411yescharacteristic
566C2×Dic118—22no—
567C2×Dic118—21no—
568C2×Dic118—21no—
569C2×Dic118—21no—
570C2×Dic118—21no—
571C2×Dic118—21no—
572C2×Dic118—21no—
573C2×Dic118—41no—
574C2×Dic118—44no—
575C2×Dic118C2×D411yescharacteristic
576C2×Dic118C2411yescharacteristic
577C2×Dic118C2411yescharacteristic
578SD16×C59—22no—
579SD16×C59—41no—
580SD16×C59—41no—
581M16×C59—41no—
582C2×C8×C59—41no—
583C2×C8×C59C2411yescharacteristic
584C2×C8×C59C2411yescharacteristic
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59C2×D411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C4⋊C4×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
605C22⋊C4×C59C2×D411yescharacteristic
606C42×C59—21no—
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⋊Dic59C2×D411yescharacteristic
620C22⋊Dic59C2×D411yescharacteristic
621#11745671—22no—
622#11745670—22no—
623#11745670—22no—
624#11745670—22no—
625#11745670—22no—
626#11745670—41no—
627#11745670#4114yescomplemented
628#11745669—22no—
629#11745669—22no—
630#11745669—41no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4C2×D411yescharacteristic
645(C2×D59)⋊C4C2×D411yescharacteristic
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59—21no—
652C4⋊Dic59C2×D411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
655C4⋊Dic59C2411yescharacteristic
656C4⋊Dic59C2411yescharacteristic
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4C2×D411yescharacteristic
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59C2×D411yescharacteristic
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C4×Dic59C2411yescharacteristic
691C4×Dic59C2411yescharacteristic
692#11745664—22no—
693C2×C59⋊C8—22no—
694C2×C59⋊C8C2411yescharacteristic
695C2×C59⋊C8C2411yescharacteristic
696C2×C59⋊C8C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698D472—41no—
699#11745660—22no—
700#11745660—41no—
701C8×D59—22no—
702C8×D59—41no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59—21no—
706C23×C59—42no—
707C23×C59—42no—
708C23×C59—42no—
709C23×C59—42no—
710C23×C59—81no—
711C23×C59—81no—
712C23×C59C22×D411yescharacteristic
713C23×C59C22×D411yescharacteristic
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—81no—
719C22×D59C22×D411yescharacteristic
720Q8×C59—21no—
721Q8×C59—21no—
722D4×C59—22no—
723D4×C59—21no—
724D4×C59—21no—
725D4×C59—21no—
726D4×C59—21no—
727D4×C59—21no—
728D4×C59—42no—
729D4×C59—42no—
730D4×C59—42no—
731D4×C59—42no—
732D4×C59—42no—
733D4×C59—81no—
734D4×C59C2×#4112yes—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—42no—
745C2×C4×C59—42no—
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C2511yescharacteristic
751C22⋊D59—22no—
752C22⋊D59—42no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—81no—
762C22⋊D59—81no—
763C22⋊D59AGL(1,ℤ/8)14yescomplemented
764C2×Dic59—22no—
765C2×Dic59—21no—
766C2×Dic59—22no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—41no—
773C2×Dic59—41no—
774C2×Dic59—42no—
775C2×Dic59—42no—
776C2×Dic59—42no—
777C2×Dic59—42no—
778C2×Dic59—42no—
779C2×Dic59—42no—
780C2×Dic59—42no—
781C2×Dic59—42no—
782C2×Dic59—42no—
783C2×Dic59—42no—
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791D236—21no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—42no—
796C4×D59—22no—
797C4×D59—21no—
798C4×D59—21no—
799C4×D59—41no—
800C4×D59—42no—
801C4×D59—42no—
802C4×D59—42no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—42no—
808Dic118—21no—
809Dic118—22no—
810Dic118—21no—
811Dic118—21no—
812Dic118—42no—
813Dic118—42no—
814Dic118—42no—
815Dic118—42no—
816Dic118—42no—
817Dic118—42no—
818Dic118C2×#4112yescomplemented
819C8×C59—21no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C59⋊C8—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8C2×#4112yescomplemented
827#61452—591nomaximal, Sylow
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—22no—
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—84no—
843C22×C59—84no—
844C22×C59C2×AGL(1,ℤ/8)12yes—
845C22×C59C23×D411yescharacteristic
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—84no—
855C2×D59C2×AGL(1,ℤ/8)12yes—
856C4×C59—21no—
857C4×C59—21no—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—41no—
861C4×C59—41no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59C22×#4111yescharacteristic
866C4×C59#58511yescharacteristic
867Dic59—21no—
868Dic59—21no—
869Dic59—21no—
870Dic59—22no—
871Dic59—21no—
872Dic59—21no—
873Dic59—21no—
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#3310D5911yescharacteristic, complemented
891#3308—591no—
892#3308—591no—
893#3298—591no—
894#3294—591no—
895D4×SD16—591no—
896#3265—591no—
897#3265—591no—
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×C59D4×#4111yescharacteristic
917C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
918C2×C59#358611yescharacteristic
919D59—22no—
920D59—81no—
921D59—81no—
922C22×#41—1181no—
923C2×AGL(1,ℤ/8)—591no—
924C22×SD16—591no—
925C22×SD16—591no—
926#557—591no—
927#556—591no—
928#556—1181no—
929#552—591no—
930#552—1181no—
931#552—1181no—
932#552C2×D5911yescharacteristic, complemented
933#550—591no—
934D4×Q8—591no—
935D4×Q8—591no—
936#548—591no—
937#548—591no—
938#548—1181no—
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#496—591no—
975#492—591no—
976#490—591no—
977#490C2×D5911yescharacteristic, complemented
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#482C2×D5911yescharacteristic, complemented
988#480—591no—
989#480—591no—
990#480—591no—
991#480—591no—
992#480—591no—
993#480C2×D5911yescharacteristic, complemented
994#478—591no—
995#478—591no—
996#478—591no—
997#478C2×D5911yescharacteristic
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#466—591no—
1014#465—591no—
1015#465—591no—
1016#465—591no—
1017#465C2×D5911yescharacteristic, complemented
1018#463—591no—
1019#463—591no—
1020#463—591no—
1021#463—591no—
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#450C2×D5911yescharacteristic
1033#450C2×D5911yescharacteristic
1034#449—591no—
1035#449—591no—
1036#448—591no—
1037#448—591no—
1038#448—591no—
1039#448—591no—
1040#447—591no—
1041#447—591no—
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#418C2×D5911yescharacteristic
1085#417—591no—
1086C2×#103—591no—
1087C2×#103—591no—
1088C2×#102—591no—
1089C2×#102C2×D5911yescharacteristic
1090C4×M16—591no—
1091C2×#97—591no—
1092C2×#97—591no—
1093C59#6145211yescharacteristic, complemented, Sylow
1094C2×#41—591no—
1095C2×#41—591no—
1096C2×#41—1181no—
1097C2×#41—1181no—
1098C2×#41—1181no—
1099C2×#41—1181no—
1100C2×#41—1181no—
1101C2×#41—1181no—
1102C2×#41—1181no—
1103C2×#41—1181no—
1104C2×#41—2368no—
1105C22×Q8—591no—
1106C22×Q8—591no—
1107C22×Q8—1181no—
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)—1184no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—591no—
1127C2×SD16—1184no—
1128C2×SD16—1184no—
1129C2×SD16C22×D5911yescharacteristic
1130C2×SD16C22×D5911yescharacteristic
1131C2×SD16C22×D5911yescharacteristic
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
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—21no—
1153#126—1181no—
1154#126—1181no—
1155#126—1181no—
1156#126—1181no—
1157#126—1181no—
1158#125—21no—
1159#125—591no—
1160#125—1181no—
1161#125—1181no—
1162#125—1181no—
1163#125—1181no—
1164#125C22×D5911yescharacteristic
1165#124—591no—
1166#124—591no—
1167#124—1181no—
1168#124—1181no—
1169#124—1181no—
1170#124—1181no—
1171#124—1181no—
1172#123—21no—
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—591no—
1185C22⋊Q8—591no—
1186C22⋊Q8—1181no—
1187C22⋊Q8—1181no—
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⋊Q8C22×D5911yescharacteristic
1200C22⋊Q8C22×D5911yescharacteristic
1201#121—21no—
1202#121—591no—
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#121—1181no—
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—591no—
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—1181no—
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—21no—
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#117C22×D5911yescharacteristic
1287C2×C4⋊C4—591no—
1288C2×C4⋊C4—591no—
1289C2×C4⋊C4—591no—
1290C2×C4⋊C4—591no—
1291C2×C4⋊C4—1181no—
1292C2×C4⋊C4—1181no—
1293C2×C4⋊C4C22×D5911yescharacteristic
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#107C22×D5911yescharacteristic
1314#107C22×D5911yescharacteristic
1315#106—591no—
1316#106—591no—
1317#106—591no—
1318#106C22×D5911yescharacteristic
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#103—591no—
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#102C22×D5911yescharacteristic
1349#102C22×D5911yescharacteristic
1350#102C22×D5911yescharacteristic
1351#102C22×D5911yescharacteristic
1352#102C22×D5911yescharacteristic
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—1182no—
1377#41—1184no—
1378#41—2361no—
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—591no—
1388C2×Q8—591no—
1389C2×Q8—591no—
1390C2×Q8—1181no—
1391C2×Q8—1181no—
1392C2×Q8—1181no—
1393C2×Q8—1181no—
1394C2×Q8—1182no—
1395C2×Q8—1181no—
1396C2×Q8—1181no—
1397C2×Q8—1182no—
1398C2×Q8—2361no—
1399C2×Q8—2364no—
1400C2×Q8—2361no—
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—41no—
1411C2×D4—41no—
1412C2×D4—44no—
1413C2×D4—591no—
1414C2×D4—591no—
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—1181no—
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—1181no—
1430C2×D4—2361no—
1431C2×D4—2364no—
1432C2×D4—2364no—
1433C2×D4D4×D5911yescharacteristic
1434C2×D4C23×D5911yescharacteristic
1435C2×D4C23×D5911yescharacteristic
1436C2×D4C23×D5911yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—591no—
1440C22×C4—591no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—1181no—
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—41no—
1471SD16—41no—
1472SD16—594no—
1473SD16—1182no—
1474SD16—1182no—
1475SD16—1182no—
1476SD16—1182no—
1477SD16—1182no—
1478SD16—1182no—
1479SD16—2361no—
1480SD16—2361no—
1481D8—1182no—
1482D8—1182no—
1483D8—2361no—
1484D8—2361no—
1485M16—41no—
1486M16—1182no—
1487C2×C8—41no—
1488C2×C8—591no—
1489C2×C8—591no—
1490C2×C8—591no—
1491C2×C8—591no—
1492C2×C8—1182no—
1493C2×C8—1182no—
1494C2×C8—2361no—
1495C2×C8C23×D5911yescharacteristic
1496C2×C8C23×D5911yescharacteristic
1497C2×C8C23×D5911yescharacteristic
1498C2×C8C23×D5911yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1536C4⋊C4C23×D5911yescharacteristic
1537C4⋊C4C23×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—591no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—1181no—
1551C22⋊C4—1181no—
1552C22⋊C4—1181no—
1553C22⋊C4—1181no—
1554C22⋊C4—1181no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
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—21no—
1577C42—591no—
1578C42—591no—
1579C42—591no—
1580C42—591no—
1581C42—591no—
1582C42—591no—
1583C42—591no—
1584C42—591no—
1585C42—591no—
1586C42—1181no—
1587C42—1181no—
1588C42—1181no—
1589C42—1181no—
1590C42—1181no—
1591C42—1181no—
1592C42—1181no—
1593C42C23×D5911yescharacteristic
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—42no—
1598C23—42no—
1599C23—42no—
1600C23—42no—
1601C23—81no—
1602C23—81no—
1603C23—591no—
1604C23—1181no—
1605C23—1181no—
1606C23—4721no—
1607C23—2362no—
1608C23—2362no—
1609C23C2×D4×D5911yescharacteristic
1610C23C2×D4×D5911yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—592no—
1614Q8—1182no—
1615Q8—1181no—
1616Q8—1181no—
1617Q8—1181no—
1618Q8—2362no—
1619Q8—2362no—
1620Q8—2362no—
1621Q8—2362no—
1622Q8—2362no—
1623Q8—2362no—
1624D4—22no—
1625D4—21no—
1626D4—21no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—42no—
1631D4—42no—
1632D4—42no—
1633D4—42no—
1634D4—42no—
1635D4—81no—
1636D4—594no—
1637D4—1182no—
1638D4—1181no—
1639D4—1181no—
1640D4—1181no—
1641D4—1181no—
1642D4—4721no—
1643D4—4721no—
1644D4—2362no—
1645D4—2362no—
1646D4—2362no—
1647D4—2362no—
1648D4—2362no—
1649D4—2362no—
1650D4—2362no—
1651D4—2362no—
1652D4—2362no—
1653D4—2362no—
1654D4#41×D5912yes—
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—21no—
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—2361no—
1685C2×C4—2362no—
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—2362no—
1695C2×C4—2361no—
1696C2×C4—2361no—
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—21no—
1714C8—592no—
1715C8—1181no—
1716C8—1181no—
1717C8—1181no—
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—84no—
1733C22—84no—
1734C22—592no—
1735C22—1181no—
1736C22—1181no—
1737C22—4724no—
1738C22—2361no—
1739C22—2361no—
1740C22—2361no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22AGL(1,ℤ/8)×D5912yes—
1745C22C22×D4×D5911yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—21no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—592no—
1756C4—1181no—
1757C4—1181no—
1758C4—1181no—
1759C4—1182no—
1760C4—1181no—
1761C4—1181no—
1762C4—1181no—
1763C4—2361no—
1764C4—2361no—
1765C4—2361no—
1766C4—2361no—
1767C4—2361no—
1768C4C2×#41×D5911yescharacteristic
1769C4#1683823711yescharacteristic
1770C2—22no—
1771C2—41no—
1772C2—42no—
1773C2—81no—
1774C2—81no—
1775C2—1182no—
1776C2—4721no—
1777C2—4721no—
1778C2#2143758011yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1780C2#2143887811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3310C2
socleC22×C59C23×D4
hypercenter#3310D59
hypocenterC59#61452
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #21437710C2semidirect
2. D4×#11745687C2semidirect
3. #21437111C2semidirect
4. #21437012C2semidirect
5. #21436822C2semidirect
6. #21436815C2semidirect
7. #21436536C2semidirect
8. #21436529C2semidirect
9. #21436438C2semidirect
10. #21436118C2semidirect
11. #21436089C2semidirect
12. #21436082C2semidirect
13. #21435956C2semidirect
14. #21435905C2semidirect
15. #21435790C2semidirect
16. #21435589C2semidirect
17. #21435587C2semidirect
18. #21434809C2semidirect
19. #21434793C2semidirect
20. #21434787C2semidirect
21. #21434242C2semidirect
22. #21434239C2semidirect
23. #21434235C2semidirect
24. #21434217C2semidirect
25. #21434215C2semidirect
26. #21434190C2semidirect
27. #21433106C2semidirect
28. #21432900C2semidirect
29. C2×#16837499C2semidirect
30. #440×D59C2semidirect
31. C59×#3310C2semidirect
36. #16838129C22semidirect
37. #16838124C22semidirect
39. #16838091C22semidirect
44. #16838065C22semidirect
45. #16838062C22semidirect
46. #16838061C22semidirect
49. #16838053C22semidirect
59. #16837954C22semidirect
63. #16837938C22semidirect
64. #16837937C22semidirect
71. #16837870C22semidirect
73. C2×#14273692C22semidirect
74. C4×Q8×D59C22semidirect
78. #16837812C22semidirect
79. #16837809C22semidirect
80. #16837806C22semidirect
81. #16837789C22semidirect
82. #16837788C22semidirect
83. #16837773C22semidirect
84. #16837765C22semidirect
85. #16837763C22semidirect
86. #16837762C22semidirect
87. #16837751C22semidirect
88. #16837747C22semidirect
89. #16837738C22semidirect
90. #16837735C22semidirect
91. #16837734C22semidirect
92. #16837730C22semidirect
93. #16837726C22semidirect
94. #16837717C22semidirect
95. #16837716C22semidirect
96. #16837715C22semidirect
97. #16837714C22semidirect
98. #16837714C22semidirect
100. #16837700C22semidirect
101. #16837699C22semidirect
102. #16837698C22semidirect
103. #16837697C22semidirect
104. #16837696C22semidirect
105. #16837696C22semidirect
106. #16837686C22semidirect
107. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837650C22semidirect
111. #16837648C22semidirect
112. #16837646C22semidirect
113. #16837638C22semidirect
114. #16837637C22semidirect
115. #16837637C22semidirect
116. #16837636C22semidirect
117. #16837633C22semidirect
118. #16837630C22semidirect
119. #16837630C22semidirect
121. #16837619C22semidirect
122. #16837618C22semidirect
125. #16837605C22semidirect
126. #16837601C22semidirect
127. #16837601C22semidirect
128. #16837601C22semidirect
129. #16837599C22semidirect
130. #16837596C22semidirect
133. #16837549C22semidirect
134. #16837545C22semidirect
135. #16837543C22semidirect
136. #16837540C22semidirect
137. #16837539C22semidirect
138. #16837539C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
143. #16837513C22semidirect
145. #16837511C22semidirect
146. #16837511C22semidirect
147. #16837505C22semidirect
148. #16837504C22semidirect
150. #16837503C22semidirect
151. #16837503C22semidirect
153. #16837501C22semidirect
154. #16837501C22semidirect
155. #16837500C22semidirect
160. #16837499C22semidirect
161. #16837499C22semidirect
162. #16837499C22semidirect
163. #16837499C22semidirect
164. #16837499C22semidirect
165. #16837499C22semidirect
167. #16837493C22semidirect
169. #16837482C22semidirect
170. #16837476C22semidirect
171. #16837474C22semidirect
172. #16837471C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #16837445C22semidirect
179. C2×#14273660C22semidirect
180. #107×D59C22semidirect
181. #16837404C22semidirect
182. C2×#14273652C22semidirect
183. #103×D59C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
188. C59×#552C22semidirect
190. C59×#490C22semidirect
191. C59×#482C22semidirect
192. C59×#480C22semidirect
194. C59×#468C22semidirect
195. C59×#465C22semidirect
196. C59×#460C22semidirect
200. C59×#435C22semidirect
627. #11745670#41semidirect
763. C22⋊D59AGL(1,ℤ/8)semidirect
818. Dic118C2×#41semidirect
826. C59⋊C8C2×#41semidirect
890. #3310D59semidirect
932. #552C2×D59semidirect
977. #490C2×D59semidirect
987. #482C2×D59semidirect
993. #480C2×D59semidirect
1009. #468C2×D59semidirect
1017. #465C2×D59semidirect
1028. #460C2×D59semidirect
1075. #435C2×D59semidirect
1093. C59#61452semidirect

Maximal subgroups

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

subgroupindex
#214377102
D4×#117456872
#214371112
#214370122
#214368222
#214368152
#214365362
#214365292
#214364382
#214361182
#214360892
#214360822
#214359562
#214359052
#214357902
#214355892
#214355872
#214348092
#214347932
#214347872
#214342422
#214342392
#214342352
#214342172
#214342152
#214341902
#214331062
#214329002
C2×#168374992
#440×D592
C59×#33102
#6145259