Finite Group Databasebeta

← #29483894

Subgroups — #29483894

Order 15104.

1900 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438429C211yesmaximal, characteristic, complemented
2#21438205C211yesmaximal, characteristic, complemented
3#21437179C211yesmaximal, characteristic, complemented
4#21437141C211yesmaximal, characteristic, complemented
5#21436857C211yesmaximal, characteristic, complemented
6#21436820C211yesmaximal, characteristic, complemented
7#21436334C211yesmaximal, characteristic, complemented
8#21436308C211yesmaximal, characteristic, complemented
9#21436253C211yesmaximal, characteristic, complemented
10#21436244C211yesmaximal, characteristic, complemented
11#21436118C211yesmaximal, characteristic, complemented
12#21436109C211yesmaximal, characteristic, complemented
13#21435727C211yesmaximal, characteristic, complemented
14#21435710C211yesmaximal, characteristic, complemented
15#21435676C211yesmaximal, characteristic, complemented
16#21435630C211yesmaximal, characteristic, complemented
17#21435586C211yesmaximal, characteristic, complemented
18#21435585C211yesmaximal, characteristic, complemented
19#21435533C211yesmaximal, characteristic, complemented
20#21435503C211yesmaximal, characteristic, complemented
21#21435497C211yesmaximal, characteristic, complemented
22#21435187C211yesmaximal, characteristic, complemented
23#21435145C211yesmaximal, characteristic, complemented
24#21435114C211yesmaximal, characteristic, complemented
25#21434385C211yesmaximal, characteristic, complemented
26#21434294C211yesmaximal, characteristic, complemented
27#21434205C211yesmaximal, characteristic, complemented
28#21433632C211yesmaximal, characteristic, complemented
29#21433612C211yesmaximal, characteristic, complemented
30#21433263C211yesmaximal, characteristic, complemented
31C59×#3038C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic, complemented
33C2×#14273754C2211yescharacteristic, complemented
34C2×#14273748C2211yescharacteristic, complemented
35C2×SD16×D59C2211yescharacteristic, complemented
36#16838139—21no—
37#16838139—21no—
38#16838138C2211yescharacteristic
39#16838135—21no—
40#16838135C2211yescharacteristic, complemented
41#16838128C2211yescharacteristic, complemented
42#16838115—21no—
43#16838115C2211yescharacteristic, complemented
44#16838102—21no—
45#16838102C2211yescharacteristic, complemented
46#16838091—21no—
47#16838091C2211yescharacteristic, complemented
48#16838072C2211yescharacteristic
49#16838072C2211yescharacteristic
50#16838071C2211yescharacteristic, complemented
51#16838064C2211yescharacteristic, complemented
52#16838059C2211yescharacteristic, complemented
53#16838046—21no—
54#16838046C2211yescharacteristic
55#16838046C2211yescharacteristic
56#16838037C2211yescharacteristic
57D4×C22⋊D59—21no—
58D4×C22⋊D59C2211yescharacteristic
59D4×C22⋊D59C2211yescharacteristic
60#16838017—21no—
61#16838017C2211yescharacteristic, complemented
62#16838006—21no—
63#16838006C2211yescharacteristic
64#16838006C2211yescharacteristic
65#16838003—21no—
66#16838003C2211yescharacteristic, complemented
67#16837965—21no—
68#16837965C2211yescharacteristic
69#16837965C2211yescharacteristic
70#16837961—21no—
71#16837961—21no—
72#16837936—21no—
73#16837936—21no—
74#16837936C2211yescharacteristic
75#16837936C2211yescharacteristic
76#16837936C2211yescharacteristic, complemented
77#16837884C2211yescharacteristic, complemented
78#16837878C2211yescharacteristic, complemented
79#16837790C2211yescharacteristic, complemented
80#16837790C2211yescharacteristic, complemented
81#16837789C2211yescharacteristic
82#16837789C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic, complemented
84#16837777C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic
86#16837766C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837726C2211yescharacteristic
93#16837725C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837714C2211yescharacteristic, complemented
97#16837710C2211yescharacteristic, complemented
98#16837710C2211yescharacteristic, complemented
99#16837709C2211yescharacteristic, complemented
100#16837704C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837680C2211yescharacteristic, complemented
107#16837660C2211yescharacteristic, complemented
108#16837655C2211yescharacteristic
109#16837654C2211yescharacteristic, complemented
110#16837652C2211yescharacteristic, complemented
111#16837652C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic
113#16837648C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837635C2211yescharacteristic, complemented
118#16837630C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837625C2211yescharacteristic, complemented
121#16837624C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837618C2211yescharacteristic, complemented
126#16837618C2211yescharacteristic, complemented
127#16837617C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic, complemented
129#16837615C2211yescharacteristic, complemented
130#16837615C2211yescharacteristic, complemented
131#16837601C2211yescharacteristic, complemented
132#16837600C2211yescharacteristic, complemented
133#16837600C2211yescharacteristic, complemented
134#16837599C2211yescharacteristic, complemented
135#16837599C2211yescharacteristic, complemented
136#16837596C2211yescharacteristic, complemented
137#16837595C2211yescharacteristic, complemented
138#16837595C2211yescharacteristic, complemented
139#16837594C2211yescharacteristic, complemented
140#16837594C2211yescharacteristic, complemented
141#16837565C2211yescharacteristic, complemented
142#16837564C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837553C2211yescharacteristic, complemented
145#16837553C2211yescharacteristic, complemented
146#16837548C2211yescharacteristic, complemented
147#16837547C2211yescharacteristic
148#16837546C2211yescharacteristic, complemented
149#16837546C2211yescharacteristic, complemented
150#16837544C2211yescharacteristic, complemented
151#16837544C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837531C2211yescharacteristic, complemented
160#16837531C2211yescharacteristic, complemented
161#16837512C2211yescharacteristic, complemented
162#16837511C2211yescharacteristic, complemented
163#16837507C2211yescharacteristic, complemented
164#16837503C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837502C2211yescharacteristic, complemented
167#16837500C2211yescharacteristic, complemented
168#16837499C2211yescharacteristic, complemented
169#16837493C2211yescharacteristic, complemented
170SD16×Dic59C2211yescharacteristic, complemented
171SD16×Dic59C2211yescharacteristic, complemented
172#16837482C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837478C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176#16837472C2211yescharacteristic, complemented
177#16837471C2211yescharacteristic, complemented
178#16837471C2211yescharacteristic, complemented
179#16837462C2211yescharacteristic, complemented
180#16837462C2211yescharacteristic, complemented
181#16837459C2211yescharacteristic, complemented
182#16837427C2211yescharacteristic, complemented
183#16837427C2211yescharacteristic, complemented
184#16837405C2211yescharacteristic, complemented
185#16837400C2211yescharacteristic, complemented
186#16837395C2211yescharacteristic, complemented
187#102×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C2×#127×C59C2211yescharacteristic
191C4×#41×C59C2211yescharacteristic, complemented
192C59×#460C2211yescharacteristic
193C59×#460C2211yescharacteristic, complemented
194C59×#460C2211yescharacteristic, complemented
195C59×#460C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic
197C59×#459C2211yescharacteristic, complemented
198C59×#459C2211yescharacteristic, complemented
199C59×#459C2211yescharacteristic, complemented
200C59×#423C2211yescharacteristic, complemented
201C59×#418C2211yescharacteristic, complemented
202C59×#418C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745687—21no—
205C2×#11745687C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×C22⋊D59—21no—
209C22×C22⋊D59—21no—
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C2×D4×D59C2311yescharacteristic
213#14273756—42no—
214#14273754—42no—
215#14273748—42no—
216C2×Dic236C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226SD16×D59—42no—
227C2×D472C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745659C2311yescharacteristic
234C2×#11745659C2311yescharacteristic
235C2×C8×D59C2311yescharacteristic
236C2×C8×D59C2311yescharacteristic
237#14273726—21no—
238#14273726C2311yescharacteristic
239#14273723—21no—
240#14273723—21no—
241#14273723C2311yescharacteristic
242#14273723C2311yescharacteristic
243#14273723C2311yescharacteristic
244#14273721—21no—
245#14273721—21no—
246#14273721D411yescharacteristic
247#14273721D411yescharacteristic
248#14273720—21no—
249#14273720—21no—
250#14273720—21no—
251#14273719—21no—
252#14273719—21no—
253#14273719D411yescharacteristic
254#14273719C2311yescharacteristic
255#14273719C2311yescharacteristic
256#14273718—21no—
257#14273718C2311yescharacteristic
258#14273715—21no—
259#14273715—21no—
260#14273715D411yescharacteristic
261#14273715C2311yescharacteristic
262#14273715C2311yescharacteristic
263#14273714—21no—
264#14273714—21no—
265#14273714C2311yescharacteristic
266#14273714C2311yescharacteristic
267#14273714C2311yescharacteristic
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273710—21no—
272#14273710—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273710—21no—
277#14273710D411yescharacteristic
278#14273710D411yescharacteristic
279#14273709—21no—
280#14273709—21no—
281#14273709—21no—
282#14273708—21no—
283#14273708—21no—
284#14273708—21no—
285#14273708—21no—
286#14273708—21no—
287#14273708—21no—
288#14273708—21no—
289#14273708—21no—
290#14273707—21no—
291#14273707C2311yescharacteristic
292#14273706—21no—
293#14273706—21no—
294#14273706D411yescharacteristic
295#14273706C2311yescharacteristic
296#14273706C2311yescharacteristic
297#14273702—21no—
298#14273702C2311yescharacteristic
299#14273701—21no—
300#14273701—21no—
301#14273701D411yescharacteristic
302#14273701C2311yescharacteristic
303#14273701C2311yescharacteristic
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273699—21no—
317#14273699—21no—
318#14273699—21no—
319#14273699—21no—
320#14273699—21no—
321#14273699—21no—
322#14273699—21no—
323#14273698—21no—
324#14273698—21no—
325#14273698—21no—
326#14273698—21no—
327#14273698C2311yescharacteristic
328#14273698C2311yescharacteristic
329#14273698C2311yescharacteristic
330#14273698C2311yescharacteristic
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273696—21no—
334#14273696—21no—
335#14273696—21no—
336#14273696—21no—
337#14273695—21no—
338#14273695—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695—21no—
344#14273695—21no—
345Q8×Dic59C2311yescharacteristic
346Q8×Dic59C2311yescharacteristic
347C4×Dic118—21no—
348C4×Dic118—21no—
349C4×Dic118C2311yescharacteristic
350C4×Dic118C2311yescharacteristic
351C4×Dic118C2311yescharacteristic
352#14273692—21no—
353#14273692C2311yescharacteristic
354C4×D236—21no—
355C4×D236—21no—
356C4×D236C2311yescharacteristic
357C4×D236C2311yescharacteristic
358C4×D236C2311yescharacteristic
359D4×Dic59—21no—
360D4×Dic59—21no—
361D4×Dic59C2311yescharacteristic
362D4×Dic59C2311yescharacteristic
363D4×Dic59C2311yescharacteristic
364D4×Dic59C2311yescharacteristic
365#14273689—21no—
366#14273689C2311yescharacteristic
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59—21no—
370C4×C22⋊D59—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59C2311yescharacteristic
374C4×C22⋊D59C2311yescharacteristic
375#14273685—21no—
376#14273685C2311yescharacteristic
377#14273684—21no—
378#14273684—21no—
379#14273684—21no—
380#14273684—21no—
381#14273684—21no—
382#14273684—21no—
383#14273684C2311yescharacteristic
384#14273684C2311yescharacteristic
385C4⋊C4×D59—21no—
386C4⋊C4×D59C2311yescharacteristic
387C2×C22⋊Dic59—21no—
388C2×C22⋊Dic59—21no—
389#14273661C2311yescharacteristic
390#14273661C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398C4⋊(C59⋊C8)C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428C22⋊(C59⋊C8)C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273638C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59C2311yescharacteristic
440C22×D4×C59—21no—
441C22×D4×C59—21no—
442C22×D4×C59C2311yescharacteristic
443C22×D4×C59C2311yescharacteristic
444AGL(1,ℤ/8)×C59—42no—
445AGL(1,ℤ/8)×C59—42no—
446C2×SD16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×SD16×C59C2311yescharacteristic
450C2×D8×C59C2311yescharacteristic
451C2×D8×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456#127×C59—21no—
457#127×C59—21no—
458#127×C59C2311yescharacteristic
459#127×C59C2311yescharacteristic
460#127×C59C2311yescharacteristic
461#127×C59C2311yescharacteristic
462C4×Q8×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59—21no—
466C4×D4×C59C2311yescharacteristic
467C4×D4×C59C2311yescharacteristic
468#117×C59—21no—
469#117×C59C2311yescharacteristic
470C2×C42×C59—21no—
471C2×C42×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C24×C59—21no—
485C24×C59—21no—
486C23×D59—21no—
487C23×D59—21no—
488#41×C59—22no—
489#41×C59—41no—
490C2×Q8×C59C2411yescharacteristic
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
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—41no—
505C2×D4×C59—41no—
506C2×D4×C59—82no—
507C2×D4×C59—82no—
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2×D411yescharacteristic
517C22×C4×C59C2×D411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—82no—
538C2×C22⋊D59—82no—
539C2×C22⋊D59C2×D411yescharacteristic
540C2×C22⋊D59C2×D411yescharacteristic
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59—21no—
547#11745689—22no—
548#11745689—41no—
549Q8×D59—22no—
550Q8×D59—41no—
551#11745687—41no—
552#11745687—41no—
553#11745687—41no—
554#11745687—41no—
555#11745687—82no—
556D4×D59—41no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—82no—
561C2×D236—21no—
562C2×D236—21no—
563C2×D236C2×D411yescharacteristic
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59C2411yescharacteristic
573C2×C4×D59C2411yescharacteristic
574C2×Dic118—21no—
575C2×Dic118—21no—
576C2×Dic118C2×D411yescharacteristic
577C2×Dic118C2411yescharacteristic
578C2×Dic118C2411yescharacteristic
579SD16×C59—22no—
580SD16×C59—22no—
581SD16×C59—22no—
582SD16×C59—22no—
583D8×C59—41no—
584D8×C59—41no—
585D8×C59—41no—
586D8×C59—41no—
587M16×C59—41no—
588M16×C59—41no—
589C2×C8×C59C2411yescharacteristic
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C2×C8×C59C2411yescharacteristic
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59C2411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C42×C59—21no—
601C42×C59—21no—
602C42×C59—21no—
603C42×C59C2×D411yescharacteristic
604C42×C59C2×D411yescharacteristic
605C42×C59C2411yescharacteristic
606C42×C59C2411yescharacteristic
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59C2×D411yescharacteristic
626C22⋊Dic59C2×D411yescharacteristic
627#11745672—22no—
628#11745671—22no—
629#11745670—41no—
630#11745670—41no—
631#11745670—41no—
632#11745670—41no—
633#11745670—41no—
634#11745669—41no—
635#11745669—41no—
636#11745669—41no—
637#11745669—41no—
638#11745669—41no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4C2×D411yescharacteristic
652(C2×D59)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59C2×D411yescharacteristic
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683Dic59⋊C4C2×D411yescharacteristic
684Dic59⋊C4C2×D411yescharacteristic
685Dic59⋊C4C2×D411yescharacteristic
686Dic59⋊C4C2×D411yescharacteristic
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689C4×Dic59—21no—
690C4×Dic59—21no—
691C4×Dic59—21no—
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59C2411yescharacteristic
696C4×Dic59C2411yescharacteristic
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701Dic236—41no—
702D472—41no—
703#11745660—41no—
704#11745660—41no—
705#11745659—41no—
706#11745659—41no—
707C8×D59—41no—
708C8×D59—41no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—42no—
715C23×C59—42no—
716C23×C59—81no—
717C23×C59—81no—
718C23×C59—81no—
719C23×C59—81no—
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—21no—
723C22×D59—81no—
724C22×D59—81no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59C22×D411yescharacteristic
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59H(5,𝔽2)12yes—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—21no—
741D4×C59—21no—
742D4×C59—21no—
743D4×C59—42no—
744D4×C59—42no—
745D4×C59—42no—
746D4×C59—81no—
747D4×C59—81no—
748D4×C59—81no—
749D4×C59—81no—
750D4×C59—81no—
751D4×C59—81no—
752D4×C59—81no—
753D4×C59—81no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—41no—
760C2×C4×C59—41no—
761C2×C4×C59—42no—
762C2×C4×C59—81no—
763C2×C4×C59—81no—
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C2511yescharacteristic
770C22⋊D59—41no—
771C22⋊D59—41no—
772C22⋊D59—42no—
773C22⋊D59—81no—
774C22⋊D59—81no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59—81no—
780C22⋊D59—81no—
781C22⋊D59—81no—
782C22⋊D59—81no—
783C22⋊D59—81no—
784C22⋊D59—81no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C22⋊D59—81no—
788C22⋊D59—81no—
789C22⋊D59—81no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—81no—
797C2×Dic59—81no—
798C2×Dic59—81no—
799C2×Dic59—81no—
800C2×Dic59—81no—
801C2×Dic59—81no—
802C2×Dic59C22×D411yescharacteristic
803C2×Dic59C22×D411yescharacteristic
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808D236—21no—
809D236—21no—
810D236—21no—
811D236—21no—
812D236—41no—
813D236—42no—
814D236—81no—
815C4×D59—21no—
816C4×D59—21no—
817C4×D59—21no—
818C4×D59—21no—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—81no—
823C4×D59—81no—
824C4×D59—81no—
825Dic118—21no—
826Dic118—21no—
827Dic118—21no—
828Dic118—21no—
829Dic118—41no—
830Dic118—42no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#62081—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—162no—
860C22×C59—162no—
861C22×C59C23×D411yescharacteristic
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—21no—
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—162no—
875C2×D59—162no—
876C4×C59—21no—
877C4×C59—21no—
878C4×C59—21no—
879C4×C59—21no—
880C4×C59—22no—
881C4×C59—21no—
882C4×C59—41no—
883C4×C59—41no—
884C4×C59C2×H(5,𝔽2)11yescharacteristic
885C4×C59#58511yescharacteristic
886Dic59—21no—
887Dic59—21no—
888Dic59—21no—
889Dic59—21no—
890Dic59—21no—
891Dic59—21no—
892Dic59—41no—
893Dic59—41no—
894Dic59—41no—
895Dic59—41no—
896Dic59—41no—
897Dic59—41no—
898#3543—591no—
899#3524—591no—
900#3403—591no—
901#3399—591no—
902#3371—591no—
903#3368—591no—
904#3325—591no—
905#3323—591no—
906#3319—591no—
907#3318—591no—
908#3310—591no—
909#3309—591no—
910#3275—591no—
911#3274—591no—
912#3271—591no—
913#3268—591no—
914#3265—591no—
915#3265—591no—
916#3259—591no—
917#3257—591no—
918#3256—591no—
919#3224—591no—
920#3220—591no—
921#3217—591no—
922#3126—591no—
923#3119—591no—
924#3111—591no—
925#3045—591no—
926#3043—591no—
927#3038D5911yescharacteristic, complemented
928#2995—591no—
929C2×C59—41no—
930C2×C59—81no—
931C2×C59—81no—
932C2×C59—81no—
933C2×C59—81no—
934C2×C59—81no—
935C2×C59#348811yescharacteristic
936C2×C59#358511yescharacteristic
937C2×C59#358511yescharacteristic
938D59—41no—
939D59—41no—
940D59—81no—
941D59—81no—
942C2×#137—591no—
943C2×AGL(1,ℤ/8)—591no—
944C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
945C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
946C2×#135—591no—
947C22×SD16—591no—
948#560—1181no—
949#560—1181no—
950#559—591no—
951#559—591no—
952#559—1181no—
953#557—591no—
954#555—591no—
955#555—1181no—
956#553—591no—
957#553—1181no—
958#552—591no—
959#552—1181no—
960#550—591no—
961#550—591no—
962#550—591no—
963#548—591no—
964#548—591no—
965#546—591no—
966#546—591no—
967#546—1181no—
968D42—591no—
969D42—591no—
970D42—591no—
971D42—1181no—
972#542—591no—
973#542—1181no—
974#540—591no—
975#540—591no—
976#540—591no—
977#540—1181no—
978#540—1181no—
979#535—591no—
980#535—591no—
981#535—1181no—
982#534—1181no—
983#534—1181no—
984C2×#127C2×D5911yescharacteristic
985#529—591no—
986#529—591no—
987#529—591no—
988#529—1181no—
989#529—1181no—
990#520—591no—
991#519—591no—
992C4×#41C2×D5911yescharacteristic, complemented
993#496—591no—
994#496—591no—
995#496—591no—
996#496—591no—
997#495—591no—
998#493—591no—
999#490—591no—
1000#490—591no—
1001#490—591no—
1002#489—591no—
1003#488—591no—
1004#486—591no—
1005#485—591no—
1006#482—591no—
1007#482—591no—
1008#482—591no—
1009#481—591no—
1010#480—591no—
1011#479—591no—
1012#479—591no—
1013#479—591no—
1014#478—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#476—591no—
1020#474—591no—
1021#470—591no—
1022#469—591no—
1023#469—591no—
1024#469—591no—
1025#469—591no—
1026#468—591no—
1027#468—591no—
1028#468—591no—
1029#466—591no—
1030#466—591no—
1031#466—591no—
1032#465—591no—
1033#464—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#464—591no—
1039#463—591no—
1040#463—591no—
1041#463—591no—
1042#463—591no—
1043#463—591no—
1044#463—591no—
1045#460—591no—
1046#460—591no—
1047#460—591no—
1048#460—591no—
1049#460—591no—
1050#460C2×D5911yescharacteristic
1051#460C2×D5911yescharacteristic, complemented
1052#460C2×D5911yescharacteristic, complemented
1053#460C2×D5911yescharacteristic, complemented
1054#459—591no—
1055#459—591no—
1056#459—591no—
1057#459—591no—
1058#459—591no—
1059#459C2×D5911yescharacteristic
1060#459C2×D5911yescharacteristic, complemented
1061#459C2×D5911yescharacteristic, complemented
1062#459C2×D5911yescharacteristic, complemented
1063#452—591no—
1064#452—591no—
1065#450—591no—
1066#450—591no—
1067#450—591no—
1068#449—591no—
1069#449—591no—
1070#449—591no—
1071#449—591no—
1072#449—591no—
1073#449—591no—
1074#448—591no—
1075#448—591no—
1076#447—591no—
1077#447—591no—
1078#447—591no—
1079#447—591no—
1080#447—591no—
1081#446—591no—
1082#446—591no—
1083#442—591no—
1084#442—591no—
1085#441—591no—
1086#440—591no—
1087#440—591no—
1088#440—591no—
1089#440—591no—
1090#440—591no—
1091C4×SD16—591no—
1092C4×SD16—591no—
1093C4×SD16—591no—
1094C4×D8—591no—
1095#436—591no—
1096#436—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435—591no—
1101#433—591no—
1102#433—591no—
1103#432—591no—
1104#424—591no—
1105#424—591no—
1106#423C2×D5911yescharacteristic, complemented
1107#418—591no—
1108#418C2×D5911yescharacteristic, complemented
1109#418C2×D5911yescharacteristic, complemented
1110#417—591no—
1111#416—591no—
1112C2×#102—591no—
1113C59#6208111yescharacteristic, complemented, Sylow
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—591no—
1117C2×#41—1181no—
1118C2×#41C22×D5911yescharacteristic
1119C22×Q8—591no—
1120C22×D4—21no—
1121C22×D4—21no—
1122C22×D4—591no—
1123C22×D4—591no—
1124C22×D4—1181no—
1125C22×D4—1181no—
1126C22×D4—1181no—
1127C22×D4C22×D5911yescharacteristic
1128C22×D4C22×D5911yescharacteristic
1129#137—2362no—
1130AGL(1,ℤ/8)—42no—
1131AGL(1,ℤ/8)—42no—
1132AGL(1,ℤ/8)—2362no—
1133#135—2362no—
1134C2×Q16—591no—
1135C2×Q16—591no—
1136C2×SD16—591no—
1137C2×SD16—591no—
1138C2×SD16—591no—
1139C2×SD16—591no—
1140C2×SD16—591no—
1141C2×SD16—591no—
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—2362no—
1145C2×SD16C22×D5911yescharacteristic
1146C2×SD16C22×D5911yescharacteristic
1147C2×SD16C22×D5911yescharacteristic
1148C2×SD16C22×D5911yescharacteristic
1149C2×D8—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8C22×D5911yescharacteristic
1156C2×D8C22×D5911yescharacteristic
1157C2×D8C22×D5911yescharacteristic
1158C2×D8C22×D5911yescharacteristic
1159C2×M16—591no—
1160C2×M16—591no—
1161C2×M16C22×D5911yescharacteristic
1162C2×M16C22×D5911yescharacteristic
1163C22×C8—591no—
1164C22×C8—591no—
1165C4⋊Q8—591no—
1166C4⋊Q8—1181no—
1167#127—21no—
1168#127—21no—
1169#127—591no—
1170#127—591no—
1171#127—591no—
1172#127—1181no—
1173#127—1181no—
1174#127C22×D5911yescharacteristic
1175#127C22×D5911yescharacteristic
1176#127C22×D5911yescharacteristic
1177#127C22×D5911yescharacteristic
1178#126—591no—
1179#126—591no—
1180#126—1181no—
1181#126—1181no—
1182#126—1181no—
1183#126—1181no—
1184#126—1181no—
1185#125—591no—
1186#125—591no—
1187#125—591no—
1188#125—591no—
1189#125—1181no—
1190#125—1181no—
1191#125—1181no—
1192#124—591no—
1193#124—591no—
1194#124—591no—
1195#124—591no—
1196#124—591no—
1197#124—591no—
1198#124—1181no—
1199#124—1181no—
1200#124—1181no—
1201#124—1181no—
1202#124—1181no—
1203#124—1181no—
1204#124—1181no—
1205#123—591no—
1206#123—591no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—1181no—
1229C22⋊Q8—1181no—
1230C22⋊Q8—1181no—
1231#121—591no—
1232#121—591no—
1233#121—591no—
1234#121—591no—
1235#121—591no—
1236#121—591no—
1237#121—591no—
1238#121—591no—
1239#121—591no—
1240#121—591no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#120—1181no—
1268#120—1181no—
1269#120—1181no—
1270#120—1181no—
1271#120—1181no—
1272#120—1181no—
1273#120—1181no—
1274#120—1181no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279C4×Q8—591no—
1280C4×Q8—591no—
1281C4×Q8—591no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—1181no—
1286C4×Q8—1181no—
1287C4×Q8—1181no—
1288C4×Q8C22×D5911yescharacteristic
1289C4×Q8C22×D5911yescharacteristic
1290C4×D4—21no—
1291C4×D4—21no—
1292C4×D4—591no—
1293C4×D4—591no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
1300C4×D4—591no—
1301C4×D4—591no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4C22×D5911yescharacteristic
1314C4×D4C22×D5911yescharacteristic
1315#117—21no—
1316#117—591no—
1317#117—591no—
1318#117—591no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117—1181no—
1325#117—1181no—
1326#117C22×D5911yescharacteristic
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—1181no—
1329C2×C22⋊C4—1181no—
1330C2×C22⋊C4—1181no—
1331C2×C42—21no—
1332C2×C42C22×D5911yescharacteristic
1333#107—591no—
1334#107—591no—
1335#107—591no—
1336#107—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
1341C4⋊C8—591no—
1342C4⋊C8—591no—
1343C4⋊C8—591no—
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8C22×D5911yescharacteristic
1348C4⋊C8C22×D5911yescharacteristic
1349C4⋊C8C22×D5911yescharacteristic
1350C4⋊C8C22×D5911yescharacteristic
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103—591no—
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102C22×D5911yescharacteristic
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382#102C22×D5911yescharacteristic
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8—591no—
1387C22⋊C8—591no—
1388C22⋊C8—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393C4×C8—591no—
1394C4×C8—591no—
1395C24—21no—
1396C24—21no—
1397C24—1181no—
1398C24—1181no—
1399#41—22no—
1400#41—41no—
1401#41—1182no—
1402#41—4722no—
1403#41—2361no—
1404#41—2361no—
1405#41—2361no—
1406#41—2361no—
1407#41—2361no—
1408C2×Q8—591no—
1409C2×Q8—591no—
1410C2×Q8—591no—
1411C2×Q8—1181no—
1412C2×Q8—1181no—
1413C2×Q8—1182no—
1414C2×Q8—2361no—
1415C2×Q8C23×D5911yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—82no—
1432C2×D4—82no—
1433C2×D4—591no—
1434C2×D4—591no—
1435C2×D4—591no—
1436C2×D4—591no—
1437C2×D4—591no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—4722no—
1459C2×D4—4722no—
1460C2×D4—4722no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4C23×D5911yescharacteristic
1466C2×D4C23×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C2×D4C23×D5911yescharacteristic
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—591no—
1474C22×C4—591no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4D4×D5911yescharacteristic
1488C22×C4D4×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—1182no—
1491Q16—2361no—
1492SD16—22no—
1493SD16—22no—
1494SD16—22no—
1495SD16—22no—
1496SD16—1182no—
1497SD16—2361no—
1498SD16—2361no—
1499SD16—2361no—
1500SD16—2361no—
1501SD16—2361no—
1502SD16—2361no—
1503SD16—2361no—
1504D8—41no—
1505D8—41no—
1506D8—41no—
1507D8—41no—
1508D8—2361no—
1509D8—2361no—
1510D8—2361no—
1511D8—2361no—
1512D8—2361no—
1513D8—2361no—
1514M16—41no—
1515M16—41no—
1516M16—2361no—
1517M16—2361no—
1518C2×C8—591no—
1519C2×C8—591no—
1520C2×C8—591no—
1521C2×C8—591no—
1522C2×C8—2361no—
1523C2×C8—2361no—
1524C2×C8C23×D5911yescharacteristic
1525C2×C8C23×D5911yescharacteristic
1526C2×C8C23×D5911yescharacteristic
1527C2×C8C23×D5911yescharacteristic
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—591no—
1531C4⋊C4—591no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—591no—
1542C4⋊C4—591no—
1543C4⋊C4—591no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4C23×D5911yescharacteristic
1561C4⋊C4C23×D5911yescharacteristic
1562C22⋊C4—21no—
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—591no—
1566C22⋊C4—591no—
1567C22⋊C4—591no—
1568C22⋊C4—591no—
1569C22⋊C4—591no—
1570C22⋊C4—591no—
1571C22⋊C4—591no—
1572C22⋊C4—591no—
1573C22⋊C4—591no—
1574C22⋊C4—591no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C42—21no—
1606C42—21no—
1607C42—21no—
1608C42—591no—
1609C42—591no—
1610C42—1181no—
1611C42—1181no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42D4×D5911yescharacteristic
1617C42D4×D5911yescharacteristic
1618C42C23×D5911yescharacteristic
1619C42C23×D5911yescharacteristic
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—42no—
1626C23—42no—
1627C23—81no—
1628C23—81no—
1629C23—81no—
1630C23—81no—
1631C23—591no—
1632C23—591no—
1633C23—1181no—
1634C23—1181no—
1635C23—4721no—
1636C23—4721no—
1637C23—4721no—
1638C23—4721no—
1639C23—4721no—
1640C23—4721no—
1641C23C2×D4×D5911yescharacteristic
1642Q8—21no—
1643Q8—1181no—
1644Q8—1181no—
1645Q8—1181no—
1646Q8—1181no—
1647Q8—4721no—
1648Q8—2361no—
1649Q8—2362no—
1650Q8#1427377212yes—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—42no—
1662D4—42no—
1663D4—42no—
1664D4—81no—
1665D4—81no—
1666D4—81no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—1181no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—4721no—
1681D4—4721no—
1682D4—4721no—
1683D4—4721no—
1684D4—4721no—
1685D4—4721no—
1686D4—4721no—
1687D4—4721no—
1688D4—4721no—
1689D4—4721no—
1690D4—4721no—
1691D4—4721no—
1692D4—4721no—
1693D4—4721no—
1694D4—2361no—
1695D4—2362no—
1696D4—2361no—
1697D4—2361no—
1698D4—2362no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—41no—
1705C2×C4—41no—
1706C2×C4—42no—
1707C2×C4—81no—
1708C2×C4—81no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—4721no—
1730C2×C4—4721no—
1731C2×C4—4721no—
1732C2×C4—4721no—
1733C2×C4—4721no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4C2×D4×D5911yescharacteristic
1738C2×C4C2×D4×D5911yescharacteristic
1739C2×C4C2×D4×D5911yescharacteristic
1740C2×C4C2×D4×D5911yescharacteristic
1741C2×C4C2×D4×D5911yescharacteristic
1742C2×C4C24×D5911yescharacteristic
1743C8—21no—
1744C8—21no—
1745C8—21no—
1746C8—21no—
1747C8—1181no—
1748C8—1181no—
1749C8—1181no—
1750C8—1181no—
1751C22—21no—
1752C22—21no—
1753C22—21no—
1754C22—41no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—162no—
1770C22—162no—
1771C22—1181no—
1772C22—1181no—
1773C22—1181no—
1774C22—1181no—
1775C22—1181no—
1776C22—1181no—
1777C22—9442no—
1778C22—9442no—
1779C22—2361no—
1780C22—2361no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22C22×D4×D5911yescharacteristic
1786C4—21no—
1787C4—22no—
1788C4—21no—
1789C4—21no—
1790C4—21no—
1791C4—21no—
1792C4—41no—
1793C4—41no—
1794C4—1181no—
1795C4—1181no—
1796C4—1181no—
1797C4—1181no—
1798C4—1181no—
1799C4—1181no—
1800C4—2361no—
1801C4—2361no—
1802C4—2361no—
1803C4—2361no—
1804C4—2361no—
1805C4—2361no—
1806C4C2×#1427377211yescharacteristic
1807C4#1683823811yescharacteristic
1808C2—41no—
1809C2—81no—
1810C2—81no—
1811C2—81no—
1812C2—81no—
1813C2—81no—
1814C2—4721no—
1815C2—4721no—
1816C2—2361no—
1817C2—2361no—
1818C2#2143776111yescharacteristic
1819C2#2143887211yescharacteristic
1820C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3038C2
socleC22×C59C23×D4
hypercenter#3038D59
hypocenterC59#62081
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3038

Complements

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

NH ≅ G/Ntype
1. #21438429C2semidirect
2. #21438205C2semidirect
3. #21437179C2semidirect
4. #21437141C2semidirect
5. #21436857C2semidirect
6. #21436820C2semidirect
7. #21436334C2semidirect
8. #21436308C2semidirect
9. #21436253C2semidirect
10. #21436244C2semidirect
11. #21436118C2semidirect
12. #21436109C2semidirect
13. #21435727C2semidirect
14. #21435710C2semidirect
15. #21435676C2semidirect
16. #21435630C2semidirect
17. #21435586C2semidirect
18. #21435585C2semidirect
19. #21435533C2semidirect
20. #21435503C2semidirect
21. #21435497C2semidirect
22. #21435187C2semidirect
23. #21435145C2semidirect
24. #21435114C2semidirect
25. #21434385C2semidirect
26. #21434294C2semidirect
27. #21434205C2semidirect
28. #21433632C2semidirect
29. #21433612C2semidirect
30. #21433263C2semidirect
31. C59×#3038C2semidirect
32. C2×#14273756C22semidirect
33. C2×#14273754C22semidirect
34. C2×#14273748C22semidirect
35. C2×SD16×D59C22semidirect
40. #16838135C22semidirect
41. #16838128C22semidirect
43. #16838115C22semidirect
45. #16838102C22semidirect
47. #16838091C22semidirect
50. #16838071C22semidirect
51. #16838064C22semidirect
52. #16838059C22semidirect
61. #16838017C22semidirect
66. #16838003C22semidirect
76. #16837936C22semidirect
77. #16837884C22semidirect
78. #16837878C22semidirect
79. #16837790C22semidirect
80. #16837790C22semidirect
82. #16837789C22semidirect
83. #16837785C22semidirect
84. #16837777C22semidirect
86. #16837766C22semidirect
87. #16837765C22semidirect
88. #16837760C22semidirect
89. #16837755C22semidirect
90. #16837747C22semidirect
91. #16837743C22semidirect
93. #16837725C22semidirect
94. #16837724C22semidirect
95. #16837719C22semidirect
96. #16837714C22semidirect
97. #16837710C22semidirect
98. #16837710C22semidirect
99. #16837709C22semidirect
100. #16837704C22semidirect
101. #16837703C22semidirect
102. #16837703C22semidirect
103. #16837702C22semidirect
104. #16837700C22semidirect
105. #16837690C22semidirect
106. #16837680C22semidirect
107. #16837660C22semidirect
109. #16837654C22semidirect
110. #16837652C22semidirect
111. #16837652C22semidirect
113. #16837648C22semidirect
114. #16837647C22semidirect
115. #16837637C22semidirect
116. #16837635C22semidirect
117. #16837635C22semidirect
118. #16837630C22semidirect
119. #16837625C22semidirect
120. #16837625C22semidirect
121. #16837624C22semidirect
122. #16837623C22semidirect
123. #16837622C22semidirect
124. #16837622C22semidirect
125. #16837618C22semidirect
126. #16837618C22semidirect
127. #16837617C22semidirect
128. #16837616C22semidirect
129. #16837615C22semidirect
130. #16837615C22semidirect
131. #16837601C22semidirect
132. #16837600C22semidirect
133. #16837600C22semidirect
134. #16837599C22semidirect
135. #16837599C22semidirect
136. #16837596C22semidirect
137. #16837595C22semidirect
138. #16837595C22semidirect
139. #16837594C22semidirect
140. #16837594C22semidirect
141. #16837565C22semidirect
142. #16837564C22semidirect
143. #16837554C22semidirect
144. #16837553C22semidirect
145. #16837553C22semidirect
146. #16837548C22semidirect
148. #16837546C22semidirect
149. #16837546C22semidirect
150. #16837544C22semidirect
151. #16837544C22semidirect
152. #16837539C22semidirect
153. #16837539C22semidirect
154. #16837537C22semidirect
155. #16837536C22semidirect
156. #16837536C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837531C22semidirect
160. #16837531C22semidirect
161. #16837512C22semidirect
162. #16837511C22semidirect
163. #16837507C22semidirect
164. #16837503C22semidirect
165. #16837503C22semidirect
166. #16837502C22semidirect
167. #16837500C22semidirect
168. #16837499C22semidirect
169. #16837493C22semidirect
170. SD16×Dic59C22semidirect
171. SD16×Dic59C22semidirect
172. #16837482C22semidirect
173. #16837478C22semidirect
174. #16837478C22semidirect
175. #16837472C22semidirect
176. #16837472C22semidirect
177. #16837471C22semidirect
178. #16837471C22semidirect
179. #16837462C22semidirect
180. #16837462C22semidirect
181. #16837459C22semidirect
182. #16837427C22semidirect
183. #16837427C22semidirect
184. #16837405C22semidirect
185. #16837400C22semidirect
186. #16837395C22semidirect
187. #102×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
191. C4×#41×C59C22semidirect
193. C59×#460C22semidirect
194. C59×#460C22semidirect
195. C59×#460C22semidirect
197. C59×#459C22semidirect
198. C59×#459C22semidirect
199. C59×#459C22semidirect
200. C59×#423C22semidirect
201. C59×#418C22semidirect
202. C59×#418C22semidirect
927. #3038D59semidirect
944. C2×AGL(1,ℤ/8)C2×D59semidirect
945. C2×AGL(1,ℤ/8)C2×D59semidirect
992. C4×#41C2×D59semidirect
1051. #460C2×D59semidirect
1052. #460C2×D59semidirect
1053. #460C2×D59semidirect
1060. #459C2×D59semidirect
1061. #459C2×D59semidirect
1062. #459C2×D59semidirect
1106. #423C2×D59semidirect
1108. #418C2×D59semidirect
1109. #418C2×D59semidirect
1113. C59#62081semidirect

Maximal subgroups

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

subgroupindex
#214384292
#214382052
#214371792
#214371412
#214368572
#214368202
#214363342
#214363082
#214362532
#214362442
#214361182
#214361092
#214357272
#214357102
#214356762
#214356302
#214355862
#214355852
#214355332
#214355032
#214354972
#214351872
#214351452
#214351142
#214343852
#214342942
#214342052
#214336322
#214336122
#214332632
C59×#30382
#6208159