Finite Group Databasebeta

← #29485912

Subgroups — #29485912

Order 15104.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438733C211yesmaximal, characteristic, complemented
2#21438036C211yesmaximal, characteristic, complemented
3#21437052C211yesmaximal, characteristic, complemented
4#21436972C211yesmaximal, characteristic, complemented
5#21436860C211yesmaximal, characteristic, complemented
6#21436757C211yesmaximal, characteristic, complemented
7#21436684C211yesmaximal, characteristic, complemented
8#21436661C211yesmaximal, characteristic, complemented
9#21436660C211yesmaximal, characteristic, complemented
10#21436619C211yesmaximal, characteristic, complemented
11#21436539C211yesmaximal, characteristic, complemented
12#21436500C211yesmaximal, characteristic, complemented
13#21436320C211yesmaximal, characteristic, complemented
14#21436316C211yesmaximal, characteristic, complemented
15#21436302C211yesmaximal, characteristic, complemented
16#21436245C211yesmaximal, characteristic, complemented
17#21436230C211yesmaximal, characteristic, complemented
18#21435936C211yesmaximal, characteristic, complemented
19#21435554C211yesmaximal, characteristic, complemented
20#21435504C211yesmaximal, characteristic, complemented
21#21435492C211yesmaximal, characteristic, complemented
22#21435393C211yesmaximal, characteristic, complemented
23#21435354C211yesmaximal, characteristic, complemented
24#21435277C211yesmaximal, characteristic, complemented
25#21434370C211yesmaximal, characteristic, complemented
26#21434279C211yesmaximal, characteristic, complemented
27#21433948C211yesmaximal, characteristic, complemented
28#21433924C211yesmaximal, characteristic, complemented
29#21433893C211yesmaximal, characteristic, complemented
30#21433247C211yesmaximal, characteristic, complemented
31C59×#3105C211yesmaximal, characteristic, complemented
32#16838155—21no—
33#16838149—21no—
34#16838135C2211yescharacteristic
35#16838128C2211yescharacteristic, complemented
36#16838123C2211yescharacteristic
37#16838120—21no—
38#16838116C2211yescharacteristic, complemented
39#16838111C2211yescharacteristic
40#16838111C2211yescharacteristic, complemented
41#16838102C2211yescharacteristic
42#16838102C2211yescharacteristic, complemented
43#16838101—21no—
44#16838099C2211yescharacteristic
45#16838093C2211yescharacteristic, complemented
46#16838087C2211yescharacteristic
47#16838086C2211yescharacteristic, complemented
48#16838085—21no—
49#16838081—21no—
50#16838078—21no—
51#16838053C2211yescharacteristic
52#16838047C2211yescharacteristic
53#16838046C2211yescharacteristic
54#16838042—21no—
55D4×C22⋊D59C2211yescharacteristic
56#16838032C2211yescharacteristic, complemented
57#16838032C2211yescharacteristic, complemented
58#16838021C2211yescharacteristic, complemented
59#16838021C2211yescharacteristic, complemented
60#16838018—21no—
61#16838017—21no—
62#16838017C2211yescharacteristic
63#16838009—21no—
64#16838003C2211yescharacteristic
65#16837994—21no—
66#16837994—21no—
67#16837985—21no—
68#16837959C2211yescharacteristic, complemented
69#16837936C2211yescharacteristic
70#16837936C2211yescharacteristic
71#16837913—21no—
72C2×#14273710—21no—
73#16837881C2211yescharacteristic
74#16837874C2211yescharacteristic
75#16837810C2211yescharacteristic, complemented
76#16837810C2211yescharacteristic, complemented
77#16837804C2211yescharacteristic, complemented
78#16837804C2211yescharacteristic, complemented
79#16837802C2211yescharacteristic, complemented
80#16837799C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic
82#16837760C2211yescharacteristic, complemented
83#16837757C2211yescharacteristic, complemented
84#16837757C2211yescharacteristic, complemented
85#16837755C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic
87#16837745C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837744C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837734C2211yescharacteristic, complemented
92#16837731C2211yescharacteristic, complemented
93#16837728C2211yescharacteristic, complemented
94#16837727C2211yescharacteristic
95#16837727C2211yescharacteristic
96#16837725C2211yescharacteristic
97#16837725C2211yescharacteristic, complemented
98#16837725C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic
100#16837719C2211yescharacteristic, complemented
101#16837719C2211yescharacteristic, complemented
102#16837717C2211yescharacteristic, complemented
103#16837712C2211yescharacteristic, complemented
104#16837711C2211yescharacteristic, complemented
105#16837709C2211yescharacteristic, complemented
106#16837706C2211yescharacteristic, complemented
107#16837705C2211yescharacteristic, complemented
108#16837702C2211yescharacteristic
109#16837702C2211yescharacteristic
110#16837702C2211yescharacteristic, complemented
111#16837702C2211yescharacteristic, complemented
112#16837702C2211yescharacteristic, complemented
113#16837700C2211yescharacteristic
114#16837700C2211yescharacteristic
115#16837700C2211yescharacteristic, complemented
116#16837699C2211yescharacteristic, complemented
117#16837698C2211yescharacteristic, complemented
118#16837696C2211yescharacteristic, complemented
119#16837695C2211yescharacteristic, complemented
120#16837693C2211yescharacteristic, complemented
121#16837692C2211yescharacteristic
122#16837692C2211yescharacteristic, complemented
123#16837691C2211yescharacteristic, complemented
124#16837688C2211yescharacteristic, complemented
125#16837683C2211yescharacteristic, complemented
126#16837682C2211yescharacteristic
127#16837682C2211yescharacteristic, complemented
128#16837680C2211yescharacteristic
129#16837680C2211yescharacteristic
130#16837680C2211yescharacteristic, complemented
131#16837658C2211yescharacteristic, complemented
132#16837654C2211yescharacteristic, complemented
133#16837653C2211yescharacteristic
134#16837650C2211yescharacteristic
135#16837647C2211yescharacteristic, complemented
136#16837646C2211yescharacteristic, complemented
137#16837645C2211yescharacteristic
138#16837645C2211yescharacteristic, complemented
139#16837642C2211yescharacteristic, complemented
140#16837635C2211yescharacteristic
141#16837635C2211yescharacteristic, complemented
142#16837634C2211yescharacteristic, complemented
143#16837624C2211yescharacteristic, complemented
144#16837622C2211yescharacteristic, complemented
145#16837621C2211yescharacteristic, complemented
146#16837617C2211yescharacteristic, complemented
147#16837615C2211yescharacteristic, complemented
148#16837614C2211yescharacteristic, complemented
149#16837600C2211yescharacteristic
150#16837595C2211yescharacteristic
151#16837561C2211yescharacteristic
152#16837551C2211yescharacteristic
153#16837544C2211yescharacteristic
154#16837534C2211yescharacteristic
155#16837532C2211yescharacteristic, complemented
156C8×Dic118C2211yescharacteristic, complemented
157#16837514C2211yescharacteristic
158#16837514C2211yescharacteristic
159#16837506C2211yescharacteristic, complemented
160#16837505C2211yescharacteristic, complemented
161#16837493C2211yescharacteristic, complemented
162SD16×Dic59C2211yescharacteristic
163SD16×Dic59C2211yescharacteristic
164#16837482C2211yescharacteristic, complemented
165#16837481C2211yescharacteristic, complemented
166#16837477C2211yescharacteristic
167#16837477C2211yescharacteristic, complemented
168#16837476C2211yescharacteristic
169#16837476C2211yescharacteristic, complemented
170C8×D236C2211yescharacteristic, complemented
171#16837462C2211yescharacteristic, complemented
172#16837462C2211yescharacteristic, complemented
173#16837442C2211yescharacteristic, complemented
174#16837442C2211yescharacteristic, complemented
175#16837441C2211yescharacteristic, complemented
176#16837441C2211yescharacteristic, complemented
177#16837439C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837427C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837426C2211yescharacteristic, complemented
182#16837407C2211yescharacteristic
183#16837407C2211yescharacteristic
184#16837405C2211yescharacteristic
185#16837400C2211yescharacteristic
186#16837395C2211yescharacteristic
187#102×D59C2211yescharacteristic
188C59×#529C2211yescharacteristic, complemented
189C2×C4×D4×C59C2211yescharacteristic
190C59×#484C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic
193C59×#478C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic
195C59×#463C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic
197C59×#447C2211yescharacteristic
198C4×SD16×C59C2211yescharacteristic
199C4×SD16×C59C2211yescharacteristic, complemented
200C4×D8×C59C2211yescharacteristic
201C4×D8×C59C2211yescharacteristic, complemented
202C59×#431C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745687C2311yescharacteristic
205C22×C22⋊D59—21no—
206C2×D4×D59C2311yescharacteristic
207C2×#11745672C2311yescharacteristic
208C2×#11745670C2311yescharacteristic
209C2×#11745671C2311yescharacteristic
210C2×#11745669C2311yescharacteristic
211C2×#11745664C2311yescharacteristic
212C2×#11745664C2311yescharacteristic
213C2×#11745659C2311yescharacteristic
214C2×#11745659C2311yescharacteristic
215C2×C8×D59C2311yescharacteristic
216C2×C8×D59C2311yescharacteristic
217#14273727C2311yescharacteristic
218#14273727C2311yescharacteristic
219#14273726—21no—
220#14273726—21no—
221#14273726—21no—
222#14273726C2311yescharacteristic
223#14273726C2311yescharacteristic
224#14273726C2311yescharacteristic
225#14273723C2311yescharacteristic
226#14273722—21no—
227#14273722—21no—
228#14273721—21no—
229#14273721—21no—
230#14273721D411yescharacteristic
231#14273721D411yescharacteristic
232#14273720—21no—
233#14273720—21no—
234#14273720—21no—
235#14273720—21no—
236#14273720—21no—
237#14273720—21no—
238#14273720—21no—
239#14273720—21no—
240#14273719—21no—
241#14273719D411yescharacteristic
242#14273719C2311yescharacteristic
243#14273719C2311yescharacteristic
244#14273719C2311yescharacteristic
245#14273718—21no—
246#14273718C2311yescharacteristic
247#14273718C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273717—21no—
250#14273717—21no—
251#14273717—21no—
252#14273717—21no—
253#14273717—21no—
254#14273715D411yescharacteristic
255#14273715C2311yescharacteristic
256#14273714—21no—
257#14273714C2311yescharacteristic
258#14273713—21no—
259#14273713—21no—
260#14273713—21no—
261#14273713—21no—
262#14273713—21no—
263#14273713—21no—
264#14273712—21no—
265#14273712—21no—
266#14273711—21no—
267#14273711—21no—
268#14273711—21no—
269#14273710—21no—
270#14273710—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#14273707—21no—
285#14273707—21no—
286#14273707C2311yescharacteristic
287#14273706—21no—
288#14273706—21no—
289#14273706—21no—
290#14273706—21no—
291#14273706—21no—
292#14273706D411yescharacteristic
293#14273706C2311yescharacteristic
294#14273705—21no—
295#14273705—21no—
296#14273705—21no—
297#14273704—21no—
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273704—21no—
303#14273703C2311yescharacteristic
304#14273703C2311yescharacteristic
305#14273702C2311yescharacteristic
306#14273701—21no—
307#14273701—21no—
308#14273701D411yescharacteristic
309#14273701C2311yescharacteristic
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273699—21no—
314#14273699—21no—
315#14273699—21no—
316#14273698—21no—
317#14273698C2311yescharacteristic
318#14273698C2311yescharacteristic
319#14273698C2311yescharacteristic
320#14273698C2311yescharacteristic
321#14273697—21no—
322#14273696—21no—
323#14273696—21no—
324#14273695—21no—
325Q8×Dic59C2311yescharacteristic
326Q8×Dic59C2311yescharacteristic
327C4×Dic118—21no—
328C4×Dic118—21no—
329C4×Dic118—21no—
330C4×Dic118C2311yescharacteristic
331C4×Dic118C2311yescharacteristic
332#14273692—21no—
333#14273692C2311yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339D4×Dic59C2311yescharacteristic
340#14273689C2311yescharacteristic
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59C2311yescharacteristic
348C4×C22⋊D59C2311yescharacteristic
349(C22⋊D59)⋊C4—21no—
350(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352#14273686—21no—
353#14273686C2311yescharacteristic
354#14273686C2311yescharacteristic
355#14273685—21no—
356#14273685C2311yescharacteristic
357#14273685C2311yescharacteristic
358#14273685C2311yescharacteristic
359#14273684—21no—
360#14273684—21no—
361#14273684C2311yescharacteristic
362#14273684C2311yescharacteristic
363#14273683—21no—
364#14273683—21no—
365C2×Dic59⋊C4—21no—
366C2×Dic59⋊C4—21no—
367C2×Dic59⋊C4—21no—
368C4⋊C4×D59C2311yescharacteristic
369C4⋊C4×D59C2311yescharacteristic
370C4⋊C4×D59C2311yescharacteristic
371C2×C22⋊Dic59—21no—
372C2×(C2×D59)⋊C4—21no—
373C2×(C2×D59)⋊C4—21no—
374C22⋊C4×D59—21no—
375#14273661C2311yescharacteristic
376#14273661C2311yescharacteristic
377#14273661C2311yescharacteristic
378#14273661C2311yescharacteristic
379#14273660C2311yescharacteristic
380#14273660C2311yescharacteristic
381#14273660C2311yescharacteristic
382#14273660C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273659C2311yescharacteristic
386#14273659C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273659C2311yescharacteristic
389#14273658C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
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
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C22×D4×C59C2311yescharacteristic
436C23×C4×C59—21no—
437C2×SD16×C59C2311yescharacteristic
438C2×SD16×C59C2311yescharacteristic
439C2×D8×C59C2311yescharacteristic
440C2×D8×C59C2311yescharacteristic
441#126×C59—21no—
442#125×C59C2311yescharacteristic
443#124×C59C2311yescharacteristic
444#123×C59—21no—
445C22⋊Q8×C59C2311yescharacteristic
446#121×C59C2311yescharacteristic
447C4×Q8×C59C2311yescharacteristic
448C4×D4×C59—21no—
449C4×D4×C59—21no—
450C4×D4×C59—21no—
451C4×D4×C59C2311yescharacteristic
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456#117×C59—21no—
457C2×C4⋊C4×C59C2311yescharacteristic
458C2×C22⋊C4×C59—21no—
459C2×C42×C59C2311yescharacteristic
460#107×C59C2311yescharacteristic
461#107×C59C2311yescharacteristic
462#106×C59C2311yescharacteristic
463#106×C59C2311yescharacteristic
464C4⋊C8×C59C2311yescharacteristic
465C4⋊C8×C59C2311yescharacteristic
466#103×C59C2311yescharacteristic
467#103×C59C2311yescharacteristic
468#102×C59C2311yescharacteristic
469#102×C59C2311yescharacteristic
470#102×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474C22⋊C8×C59C2311yescharacteristic
475C22⋊C8×C59C2311yescharacteristic
476C4×C8×C59C2311yescharacteristic
477C4×C8×C59C2311yescharacteristic
478C24×C59—21no—
479C23×D59—21no—
480C2×Q8×C59C2411yescharacteristic
481C2×D4×C59—22no—
482C2×D4×C59—21no—
483C2×D4×C59—21no—
484C2×D4×C59—41no—
485C2×D4×C59C2411yescharacteristic
486C2×D4×C59C2411yescharacteristic
487C2×D4×C59C2411yescharacteristic
488C22×C4×C59—21no—
489C22×C4×C59—21no—
490C22×C4×C59—21no—
491C22×C4×C59—21no—
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—82no—
495C22×C4×C59C2×D411yescharacteristic
496C22×C4×C59C2×D411yescharacteristic
497C22×C4×C59C2411yescharacteristic
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—82no—
508C2×C22⋊D59C2×D411yescharacteristic
509C2×C22⋊D59C2×D411yescharacteristic
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515#11745687—22no—
516#11745687—41no—
517D4×D59—22no—
518D4×D59—41no—
519#11745685—82no—
520C2×D236—21no—
521C2×D236C2×D411yescharacteristic
522C2×D236C2411yescharacteristic
523C2×C4×D59—21no—
524C2×C4×D59—21no—
525C2×C4×D59—21no—
526C2×C4×D59—21no—
527C2×C4×D59—21no—
528C2×C4×D59C2411yescharacteristic
529C2×C4×D59C2411yescharacteristic
530C2×Dic118—21no—
531C2×Dic118—21no—
532C2×Dic118—21no—
533C2×Dic118—21no—
534C2×Dic118—21no—
535C2×Dic118C2×D411yescharacteristic
536C2×Dic118C2411yescharacteristic
537SD16×C59—22no—
538SD16×C59—41no—
539D8×C59—22no—
540D8×C59—41no—
541C2×C8×C59C2411yescharacteristic
542C2×C8×C59C2411yescharacteristic
543C2×C8×C59C2411yescharacteristic
544C2×C8×C59C2411yescharacteristic
545C4⋊C4×C59—21no—
546C4⋊C4×C59—21no—
547C4⋊C4×C59—21no—
548C4⋊C4×C59—21no—
549C4⋊C4×C59—21no—
550C4⋊C4×C59C2411yescharacteristic
551C4⋊C4×C59C2411yescharacteristic
552C4⋊C4×C59C2411yescharacteristic
553C4⋊C4×C59C2411yescharacteristic
554C22⋊C4×C59—21no—
555C22⋊C4×C59—21no—
556C22⋊C4×C59—21no—
557C22⋊C4×C59—21no—
558C22⋊C4×C59—21no—
559C22⋊C4×C59—21no—
560C22⋊C4×C59—21no—
561C22⋊C4×C59—21no—
562C22⋊C4×C59—21no—
563C42×C59—21no—
564C42×C59C2×D411yescharacteristic
565C42×C59C2×D411yescharacteristic
566C42×C59C2411yescharacteristic
567C42×C59C2411yescharacteristic
568C22⋊Dic59—21no—
569C22⋊Dic59—21no—
570C22⋊Dic59—21no—
571C22⋊Dic59—21no—
572C22⋊Dic59—21no—
573C22⋊Dic59—21no—
574C22⋊Dic59—21no—
575C22⋊Dic59—21no—
576C22⋊Dic59—21no—
577C22⋊Dic59—21no—
578C22⋊Dic59—21no—
579C22⋊Dic59—21no—
580C22⋊Dic59—21no—
581C22⋊Dic59C2×D411yescharacteristic
582C22⋊Dic59C2×D411yescharacteristic
583#11745672—41no—
584#11745671—41no—
585#11745670—41no—
586#11745669—41no—
587(C2×D59)⋊C4—21no—
588(C2×D59)⋊C4—21no—
589(C2×D59)⋊C4—21no—
590(C2×D59)⋊C4—21no—
591(C2×D59)⋊C4—21no—
592(C2×D59)⋊C4—21no—
593(C2×D59)⋊C4—21no—
594(C2×D59)⋊C4—21no—
595(C2×D59)⋊C4—21no—
596(C2×D59)⋊C4—21no—
597(C2×D59)⋊C4—21no—
598(C2×D59)⋊C4—21no—
599(C2×D59)⋊C4C2×D411yescharacteristic
600(C2×D59)⋊C4C2×D411yescharacteristic
601(C2×D59)⋊C4C2×D411yescharacteristic
602(C2×D59)⋊C4C2×D411yescharacteristic
603(C2×D59)⋊C4C2×D411yescharacteristic
604(C2×D59)⋊C4C2×D411yescharacteristic
605(C2×D59)⋊C4C2×D411yescharacteristic
606(C2×D59)⋊C4C2×D411yescharacteristic
607C4⋊Dic59—21no—
608C4⋊Dic59—21no—
609C4⋊Dic59—21no—
610C4⋊Dic59—21no—
611C4⋊Dic59—21no—
612C4⋊Dic59—21no—
613C4⋊Dic59—21no—
614C4⋊Dic59—21no—
615C4⋊Dic59C2×D411yescharacteristic
616C4⋊Dic59C2×D411yescharacteristic
617C4⋊Dic59C2411yescharacteristic
618C4⋊Dic59C2411yescharacteristic
619C4⋊Dic59C2411yescharacteristic
620C4⋊Dic59C2411yescharacteristic
621C4⋊Dic59C2411yescharacteristic
622C4⋊Dic59C2411yescharacteristic
623Dic59⋊C4—21no—
624Dic59⋊C4—21no—
625Dic59⋊C4—21no—
626Dic59⋊C4—21no—
627Dic59⋊C4—21no—
628Dic59⋊C4—21no—
629Dic59⋊C4—21no—
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4C2×D411yescharacteristic
644Dic59⋊C4C2×D411yescharacteristic
645Dic59⋊C4C2×D411yescharacteristic
646Dic59⋊C4C2×D411yescharacteristic
647Dic59⋊C4C2×D411yescharacteristic
648Dic59⋊C4C2×D411yescharacteristic
649Dic59⋊C4C2×D411yescharacteristic
650Dic59⋊C4C2×D411yescharacteristic
651C4×Dic59—21no—
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59—21no—
655C4×Dic59—21no—
656C4×Dic59—21no—
657C4×Dic59—21no—
658C4×Dic59—21no—
659C4×Dic59—21no—
660C4×Dic59C2411yescharacteristic
661C4×Dic59C2411yescharacteristic
662#11745664—41no—
663#11745664—41no—
664C2×C59⋊C8C2411yescharacteristic
665C2×C59⋊C8C2411yescharacteristic
666C2×C59⋊C8C2411yescharacteristic
667C2×C59⋊C8C2411yescharacteristic
668#11745659—41no—
669#11745659—41no—
670C8×D59—41no—
671C8×D59—41no—
672C23×C59—21no—
673C23×C59—21no—
674C23×C59—21no—
675C23×C59—42no—
676C23×C59—42no—
677C23×C59—81no—
678C23×C59C22×D411yescharacteristic
679C22×D59—21no—
680C22×D59—42no—
681C22×D59—81no—
682C22×D59—81no—
683C22×D59C22×D411yescharacteristic
684C22×D59C22×D411yescharacteristic
685Q8×C59—21no—
686Q8×C59—21no—
687D4×C59—21no—
688D4×C59—21no—
689D4×C59—21no—
690D4×C59—21no—
691D4×C59—21no—
692D4×C59—42no—
693D4×C59—81no—
694D4×C592−1+412yes—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—41no—
703C2×C4×C59—41no—
704C2×C4×C59—42no—
705C2×C4×C59—81no—
706C2×C4×C59—81no—
707C2×C4×C59—81no—
708C2×C4×C59—81no—
709C2×C4×C59—81no—
710C2×C4×C59C22×D411yescharacteristic
711C2×C4×C59C22×D411yescharacteristic
712C2×C4×C59C22×D411yescharacteristic
713C2×C4×C59C22×D411yescharacteristic
714C2×C4×C59C22×D411yescharacteristic
715C2×C4×C59C2511yescharacteristic
716C22⋊D59—41no—
717C22⋊D59—41no—
718C22⋊D59—42no—
719C22⋊D59—42no—
720C22⋊D59—42no—
721C22⋊D59—81no—
722C22⋊D59—81no—
723C22⋊D59—81no—
724C22⋊D59—81no—
725C22⋊D59—81no—
726C22⋊D59—81no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—42no—
735C2×Dic59—81no—
736C2×Dic59—81no—
737C2×Dic59—81no—
738C2×Dic59—81no—
739C2×Dic59C22×D411yescharacteristic
740C2×Dic59C22×D411yescharacteristic
741C2×Dic59C22×D411yescharacteristic
742C2×Dic59C22×D411yescharacteristic
743C2×Dic59C22×D411yescharacteristic
744C2×Dic59C22×D411yescharacteristic
745D236—21no—
746D236—21no—
747D236—41no—
748D236—81no—
749C4×D59—21no—
750C4×D59—21no—
751C4×D59—21no—
752C4×D59—21no—
753C4×D59—81no—
754C4×D59—81no—
755C4×D59—81no—
756C4×D59—81no—
757C4×D59—81no—
758Dic118—21no—
759Dic118—21no—
760Dic118—41no—
761Dic118—81no—
762Dic118—81no—
763Dic118—81no—
764Dic118—81no—
765Dic118—81no—
766C8×C59—21no—
767C8×C59—21no—
768C8×C59—21no—
769C8×C59—21no—
770C59⋊C8—21no—
771C59⋊C8—21no—
772C59⋊C8—21no—
773C59⋊C8—21no—
774#62175—591nomaximal, Sylow
775C22×C59—21no—
776C22×C59—21no—
777C22×C59—22no—
778C22×C59—21no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59—84no—
788C22×C59C23×D411yescharacteristic
789C2×D59—21no—
790C2×D59—21no—
791C2×D59—21no—
792C2×D59—21no—
793C2×D59—21no—
794C2×D59—21no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C2×D59—162no—
799C4×C59—21no—
800C4×C59—21no—
801C4×C59—21no—
802C4×C59—21no—
803C4×C59—21no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59C2×2−1+411yescharacteristic
810C4×C59#58511yescharacteristic
811Dic59—21no—
812Dic59—21no—
813Dic59—21no—
814Dic59—21no—
815Dic59—21no—
816Dic59—21no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823Dic59—41no—
824#3565—591no—
825#3513—591no—
826#3389—591no—
827#3381—591no—
828#3371—591no—
829#3361—591no—
830#3354—591no—
831#3351—591no—
832#3351—591no—
833#3349—591no—
834#3343—591no—
835#3339—591no—
836#3324—591no—
837#3323—591no—
838#3322—591no—
839#3319—591no—
840#3318—591no—
841#3296—591no—
842#3262—591no—
843#3257—591no—
844#3256—591no—
845#3244—591no—
846#3241—591no—
847#3233—591no—
848#3125—591no—
849#3118—591no—
850#3105D5911yescharacteristic, complemented
851#3083—591no—
852#3081—591no—
853#3077—591no—
854#2993—591no—
855C2×C59—42no—
856C2×C59—41no—
857C2×C59—81no—
858C2×C59—81no—
859C2×C59#348911yescharacteristic
860C2×C59#358411yescharacteristic
861C2×C59#358511yescharacteristic
862D59—41no—
863D59—41no—
864D59—81no—
865#563—1181no—
866#562—1181no—
867#559—591no—
868#557—591no—
869#556—591no—
870#556—1181no—
871#555—591no—
872#554—591no—
873#554—591no—
874#553—591no—
875#553—591no—
876#553—591no—
877#553—1181no—
878#552—591no—
879#552—591no—
880#552—591no—
881#552—1181no—
882#551—1181no—
883#551—1181no—
884#547—591no—
885#546—591no—
886#546—591no—
887#546—1181no—
888D42—591no—
889#544—591no—
890#544—591no—
891#542—591no—
892#542—591no—
893#542—591no—
894#542—1181no—
895#542—1181no—
896#541—1181no—
897#540—591no—
898#539—1181no—
899#539—1181no—
900#538—1181no—
901#533—591no—
902#529—591no—
903#529—591no—
904#529C2×D5911yescharacteristic, complemented
905#525—1181no—
906C2×#123—1181no—
907#520—591no—
908#518—591no—
909C2×C4×D4C2×D5911yescharacteristic
910#501—591no—
911#501—591no—
912#499—591no—
913#499—591no—
914#499—591no—
915#498—591no—
916#490—591no—
917#489—591no—
918#488—591no—
919#488—591no—
920#488—591no—
921#486—591no—
922#485—591no—
923#485—591no—
924#485—591no—
925#485—591no—
926#484C2×D5911yescharacteristic, complemented
927#483—591no—
928#483—591no—
929#482—591no—
930#482—591no—
931#482—591no—
932#482—591no—
933#482—591no—
934#482—591no—
935#481—591no—
936#481—591no—
937#481—591no—
938#481C2×D5911yescharacteristic, complemented
939#480—591no—
940#479—591no—
941#479—591no—
942#479—591no—
943#479—591no—
944#478—591no—
945#478—591no—
946#478—591no—
947#478—591no—
948#478—591no—
949#478—591no—
950#478—591no—
951#478—591no—
952#478—591no—
953#478—591no—
954#478C2×D5911yescharacteristic
955#478C2×D5911yescharacteristic, complemented
956#477—591no—
957#477—591no—
958#477—591no—
959#476—591no—
960#476—591no—
961#476—591no—
962#476—591no—
963#475—591no—
964#474—591no—
965#474—591no—
966#474—591no—
967#474—591no—
968#474—591no—
969#474—591no—
970#470—591no—
971#469—591no—
972#469—591no—
973#468—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#467—591no—
979#466—591no—
980#466—591no—
981#465—591no—
982#464—591no—
983#464—591no—
984#464—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#463C2×D5911yescharacteristic
989#463C2×D5911yescharacteristic, complemented
990#460—591no—
991#459—591no—
992#452—591no—
993#450—591no—
994#450C2×D5911yescharacteristic
995#449—591no—
996#447—591no—
997#447C2×D5911yescharacteristic
998#446—591no—
999C8×Q8—591no—
1000#442—591no—
1001#442—591no—
1002#441—591no—
1003#440—591no—
1004C4×SD16—591no—
1005C4×SD16—591no—
1006C4×SD16—591no—
1007C4×SD16C2×D5911yescharacteristic
1008C4×SD16C2×D5911yescharacteristic, complemented
1009C4×D8—591no—
1010C4×D8C2×D5911yescharacteristic
1011C4×D8C2×D5911yescharacteristic, complemented
1012#436—591no—
1013#436—591no—
1014#436—591no—
1015#435—591no—
1016#435—591no—
1017C8×D4—591no—
1018#433—591no—
1019#433—591no—
1020#431C2×D5911yescharacteristic, complemented
1021#428—591no—
1022#428—591no—
1023#428—591no—
1024#428—591no—
1025#427—591no—
1026C2×#107—591no—
1027#424—591no—
1028#424—591no—
1029#423—591no—
1030#418—591no—
1031#418—591no—
1032#418—591no—
1033#417—591no—
1034#416—591no—
1035C2×#102—591no—
1036C59#6217511yescharacteristic, complemented, Sylow
1037C2×#41—591no—
1038C2×#41—1181no—
1039C22×D4—591no—
1040C22×D4—1181no—
1041C22×D4C22×D5911yescharacteristic
1042C23×C4—21no—
1043C2×Q16—591no—
1044C2×SD16—591no—
1045C2×SD16—591no—
1046C2×SD16C22×D5911yescharacteristic
1047C2×SD16C22×D5911yescharacteristic
1048C2×D8—591no—
1049C2×D8C22×D5911yescharacteristic
1050C2×D8C22×D5911yescharacteristic
1051C2×M16—591no—
1052C2×M16—591no—
1053C2×M16—591no—
1054C2×M16—591no—
1055C22×C8—591no—
1056C22×C8—591no—
1057C4⋊Q8—591no—
1058C4⋊Q8—591no—
1059C4⋊Q8—591no—
1060C4⋊Q8—591no—
1061C4⋊Q8—591no—
1062C4⋊Q8—1181no—
1063C4⋊Q8—1181no—
1064C4⋊Q8—1181no—
1065#127—591no—
1066#126—21no—
1067#126—591no—
1068#126—591no—
1069#126—1181no—
1070#126—1181no—
1071#126—1181no—
1072#126—1181no—
1073#126—1181no—
1074#126—1181no—
1075#126—1181no—
1076#126—1181no—
1077#126—1181no—
1078#126—1181no—
1079#126—1181no—
1080#126—1181no—
1081#125—591no—
1082#125—591no—
1083#125—591no—
1084#125—591no—
1085#125—591no—
1086#125—591no—
1087#125—591no—
1088#125—1181no—
1089#125—1181no—
1090#125—1181no—
1091#125—1181no—
1092#125—1181no—
1093#125—1181no—
1094#125—1181no—
1095#125C22×D5911yescharacteristic
1096#124—591no—
1097#124—591no—
1098#124—591no—
1099#124—1181no—
1100#124—1181no—
1101#124—1181no—
1102#124—1181no—
1103#124—1181no—
1104#124—1181no—
1105#124—1181no—
1106#124C22×D5911yescharacteristic
1107#123—21no—
1108#123—591no—
1109#123—591no—
1110#123—1181no—
1111#123—1181no—
1112#123—1181no—
1113#123—1181no—
1114#123—1181no—
1115#123—1181no—
1116#123—1181no—
1117#123—1181no—
1118#123—1181no—
1119#123—1181no—
1120#123—1181no—
1121#123—1181no—
1122#123—1181no—
1123#123—1181no—
1124#123—1181no—
1125#123—1181no—
1126#123—1181no—
1127#123—1181no—
1128C22⋊Q8—591no—
1129C22⋊Q8—591no—
1130C22⋊Q8—591no—
1131C22⋊Q8—591no—
1132C22⋊Q8—591no—
1133C22⋊Q8—1181no—
1134C22⋊Q8—1181no—
1135C22⋊Q8—1181no—
1136C22⋊Q8—1181no—
1137C22⋊Q8—1181no—
1138C22⋊Q8—1181no—
1139C22⋊Q8—1181no—
1140C22⋊Q8—1181no—
1141C22⋊Q8—1181no—
1142C22⋊Q8—1181no—
1143C22⋊Q8—1181no—
1144C22⋊Q8—1181no—
1145C22⋊Q8—1181no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8C22×D5911yescharacteristic
1150#121—591no—
1151#121—591no—
1152#121—591no—
1153#121—591no—
1154#121—591no—
1155#121—591no—
1156#121—591no—
1157#121—1181no—
1158#121—1181no—
1159#121—1181no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121—1181no—
1164#121—1181no—
1165#121—1181no—
1166#121C22×D5911yescharacteristic
1167#120—1181no—
1168#120—1181no—
1169#120—1181no—
1170#120—1181no—
1171C4×Q8—591no—
1172C4×Q8—591no—
1173C4×Q8—591no—
1174C4×Q8—591no—
1175C4×Q8—591no—
1176C4×Q8—1181no—
1177C4×Q8—1181no—
1178C4×Q8—1181no—
1179C4×Q8—1181no—
1180C4×Q8C22×D5911yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—21no—
1184C4×D4—591no—
1185C4×D4—591no—
1186C4×D4—591no—
1187C4×D4—591no—
1188C4×D4—591no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
1193C4×D4—1181no—
1194C4×D4—1181no—
1195C4×D4—1181no—
1196C4×D4—1181no—
1197C4×D4—1181no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4C22×D5911yescharacteristic
1203C4×D4C22×D5911yescharacteristic
1204C4×D4C22×D5911yescharacteristic
1205C4×D4C22×D5911yescharacteristic
1206C4×D4C22×D5911yescharacteristic
1207#117—21no—
1208#117—591no—
1209#117—591no—
1210#117—591no—
1211#117—591no—
1212#117—591no—
1213#117—591no—
1214#117—591no—
1215#117—1181no—
1216#117—1181no—
1217#117—1181no—
1218#117—1181no—
1219#117—1181no—
1220#117—1181no—
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—1181no—
1225C2×C4⋊C4—1181no—
1226C2×C4⋊C4—1181no—
1227C2×C4⋊C4C22×D5911yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1181no—
1230C2×C22⋊C4—1181no—
1231C2×C22⋊C4—1181no—
1232C2×C22⋊C4—1181no—
1233C2×C42C22×D5911yescharacteristic
1234#107—591no—
1235#107—591no—
1236#107—591no—
1237#107—591no—
1238#107—591no—
1239#107—591no—
1240#107—591no—
1241#107—591no—
1242#107—591no—
1243#107—591no—
1244#107C22×D5911yescharacteristic
1245#107C22×D5911yescharacteristic
1246#106—591no—
1247#106—591no—
1248#106—591no—
1249#106—591no—
1250#106—591no—
1251#106—591no—
1252#106—591no—
1253#106—591no—
1254#106—591no—
1255#106—591no—
1256#106C22×D5911yescharacteristic
1257#106C22×D5911yescharacteristic
1258C4⋊C8—591no—
1259C4⋊C8—591no—
1260C4⋊C8—591no—
1261C4⋊C8—591no—
1262C4⋊C8—591no—
1263C4⋊C8—591no—
1264C4⋊C8—591no—
1265C4⋊C8—591no—
1266C4⋊C8C22×D5911yescharacteristic
1267C4⋊C8C22×D5911yescharacteristic
1268#103—591no—
1269#103—591no—
1270#103—591no—
1271#103—591no—
1272#103—591no—
1273#103—591no—
1274#103—591no—
1275#103—591no—
1276#103C22×D5911yescharacteristic
1277#103C22×D5911yescharacteristic
1278#102—591no—
1279#102—591no—
1280#102—591no—
1281#102—591no—
1282#102—591no—
1283#102—591no—
1284#102—591no—
1285#102—591no—
1286#102—591no—
1287#102—591no—
1288#102—591no—
1289#102—591no—
1290#102—591no—
1291#102—591no—
1292#102—591no—
1293#102—591no—
1294#102C22×D5911yescharacteristic
1295#102C22×D5911yescharacteristic
1296#102C22×D5911yescharacteristic
1297#102C22×D5911yescharacteristic
1298#102C22×D5911yescharacteristic
1299#102C22×D5911yescharacteristic
1300C22⋊C8—591no—
1301C22⋊C8—591no—
1302C22⋊C8—591no—
1303C22⋊C8—591no—
1304C22⋊C8C22×D5911yescharacteristic
1305C22⋊C8C22×D5911yescharacteristic
1306#97—591no—
1307#97—591no—
1308C4×C8—591no—
1309C4×C8—591no—
1310C4×C8C22×D5911yescharacteristic
1311C4×C8C22×D5911yescharacteristic
1312C24—21no—
1313C24—1181no—
1314#41—1182no—
1315#41—4722no—
1316#41—2361no—
1317C2×Q8—591no—
1318C2×Q8—591no—
1319C2×Q8—1181no—
1320C2×Q8—1181no—
1321C2×Q8—1181no—
1322C2×Q8—1181no—
1323C2×Q8—1181no—
1324C2×Q8C23×D5911yescharacteristic
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—21no—
1328C2×D4—41no—
1329C2×D4—591no—
1330C2×D4—591no—
1331C2×D4—591no—
1332C2×D4—591no—
1333C2×D4—1181no—
1334C2×D4—1181no—
1335C2×D4—1181no—
1336C2×D4—1181no—
1337C2×D4—1182no—
1338C2×D4—1181no—
1339C2×D4—1181no—
1340C2×D4—1181no—
1341C2×D4—1181no—
1342C2×D4—1181no—
1343C2×D4—1181no—
1344C2×D4—4722no—
1345C2×D4—2361no—
1346C2×D4C23×D5911yescharacteristic
1347C2×D4C23×D5911yescharacteristic
1348C2×D4C23×D5911yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—82no—
1356C22×C4—591no—
1357C22×C4—591no—
1358C22×C4—1181no—
1359C22×C4—1181no—
1360C22×C4—1181no—
1361C22×C4—1181no—
1362C22×C4—1181no—
1363C22×C4—1181no—
1364C22×C4—1181no—
1365C22×C4—1181no—
1366C22×C4—1181no—
1367C22×C4—1181no—
1368C22×C4D4×D5911yescharacteristic
1369C22×C4D4×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371Q16—2361no—
1372SD16—22no—
1373SD16—41no—
1374SD16—2361no—
1375SD16—2361no—
1376D8—22no—
1377D8—41no—
1378D8—2361no—
1379M16—2361no—
1380M16—2361no—
1381M16—2361no—
1382M16—2361no—
1383C2×C8—591no—
1384C2×C8—591no—
1385C2×C8—591no—
1386C2×C8—591no—
1387C2×C8—2361no—
1388C2×C8—2361no—
1389C2×C8C23×D5911yescharacteristic
1390C2×C8C23×D5911yescharacteristic
1391C2×C8C23×D5911yescharacteristic
1392C2×C8C23×D5911yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—591no—
1399C4⋊C4—591no—
1400C4⋊C4—591no—
1401C4⋊C4—591no—
1402C4⋊C4—591no—
1403C4⋊C4—591no—
1404C4⋊C4—591no—
1405C4⋊C4—591no—
1406C4⋊C4—591no—
1407C4⋊C4—591no—
1408C4⋊C4—591no—
1409C4⋊C4—591no—
1410C4⋊C4—591no—
1411C4⋊C4—591no—
1412C4⋊C4—591no—
1413C4⋊C4—591no—
1414C4⋊C4—1181no—
1415C4⋊C4—1181no—
1416C4⋊C4—1181no—
1417C4⋊C4—1181no—
1418C4⋊C4—1181no—
1419C4⋊C4—1181no—
1420C4⋊C4—1181no—
1421C4⋊C4—1181no—
1422C4⋊C4—1181no—
1423C4⋊C4—1181no—
1424C4⋊C4—1181no—
1425C4⋊C4—1181no—
1426C4⋊C4—1181no—
1427C4⋊C4—1181no—
1428C4⋊C4—1181no—
1429C4⋊C4—1181no—
1430C4⋊C4—1181no—
1431C4⋊C4—1181no—
1432C4⋊C4—1181no—
1433C4⋊C4—1181no—
1434C4⋊C4—1181no—
1435C4⋊C4—1181no—
1436C4⋊C4—1181no—
1437C4⋊C4—1181no—
1438C4⋊C4—1181no—
1439C4⋊C4—1181no—
1440C4⋊C4—1181no—
1441C4⋊C4—1181no—
1442C4⋊C4C23×D5911yescharacteristic
1443C4⋊C4C23×D5911yescharacteristic
1444C4⋊C4C23×D5911yescharacteristic
1445C4⋊C4C23×D5911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—591no—
1456C22⋊C4—591no—
1457C22⋊C4—591no—
1458C22⋊C4—591no—
1459C22⋊C4—591no—
1460C22⋊C4—591no—
1461C22⋊C4—591no—
1462C22⋊C4—591no—
1463C22⋊C4—591no—
1464C22⋊C4—591no—
1465C22⋊C4—1181no—
1466C22⋊C4—1181no—
1467C22⋊C4—1181no—
1468C22⋊C4—1181no—
1469C22⋊C4—1181no—
1470C22⋊C4—1181no—
1471C22⋊C4—1181no—
1472C22⋊C4—1181no—
1473C22⋊C4—1181no—
1474C22⋊C4—1181no—
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⋊C4—1181no—
1488C22⋊C4—1181no—
1489C22⋊C4—1181no—
1490C42—21no—
1491C42—591no—
1492C42—591no—
1493C42—1181no—
1494C42—1181no—
1495C42—1181no—
1496C42—1181no—
1497C42—1181no—
1498C42—1181no—
1499C42—1181no—
1500C42—1181no—
1501C42—1181no—
1502C42D4×D5911yescharacteristic
1503C42D4×D5911yescharacteristic
1504C42C23×D5911yescharacteristic
1505C42C23×D5911yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—42no—
1510C23—42no—
1511C23—81no—
1512C23—591no—
1513C23—591no—
1514C23—1181no—
1515C23—4721no—
1516C23—4721no—
1517C23—2362no—
1518C23C2×D4×D5911yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—1181no—
1522Q8—1181no—
1523Q8—4721no—
1524Q8—4721no—
1525Q8—4721no—
1526Q8—4721no—
1527Q8—4721no—
1528Q8—2361no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—21no—
1534D4—42no—
1535D4—81no—
1536D4—1181no—
1537D4—1181no—
1538D4—4721no—
1539D4—4721no—
1540D4—4721no—
1541D4—4721no—
1542D4—4721no—
1543D4—4721no—
1544D4—4721no—
1545D4—2361no—
1546D4—2361no—
1547D4—2361no—
1548D4—2362no—
1549D4—2362no—
1550D4—2362no—
1551D4#1427377412yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—41no—
1560C2×C4—41no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—591no—
1568C2×C4—591no—
1569C2×C4—591no—
1570C2×C4—591no—
1571C2×C4—591no—
1572C2×C4—591no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—4721no—
1585C2×C4—4721no—
1586C2×C4—4721no—
1587C2×C4—4721no—
1588C2×C4—4721no—
1589C2×C4—4721no—
1590C2×C4—4721no—
1591C2×C4—4721no—
1592C2×C4—4721no—
1593C2×C4—2362no—
1594C2×C4C2×D4×D5911yescharacteristic
1595C2×C4C2×D4×D5911yescharacteristic
1596C2×C4C2×D4×D5911yescharacteristic
1597C2×C4C2×D4×D5911yescharacteristic
1598C2×C4C2×D4×D5911yescharacteristic
1599C2×C4C24×D5911yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1181no—
1605C8—1181no—
1606C8—1181no—
1607C8—1181no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—84no—
1621C22—1181no—
1622C22—1181no—
1623C22—1181no—
1624C22—1181no—
1625C22—1181no—
1626C22—1181no—
1627C22—9442no—
1628C22—2361no—
1629C22—2361no—
1630C22—2361no—
1631C22C22×D4×D5911yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—1181no—
1643C4—1181no—
1644C4—1181no—
1645C4—1181no—
1646C4—1181no—
1647C4—1181no—
1648C4—2361no—
1649C4—2361no—
1650C4—2361no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4C2×#1427377411yescharacteristic
1656C4#1683823811yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—81no—
1661C2—4721no—
1662C2—2361no—
1663C2—2361no—
1664C2#2143776811yescharacteristic
1665C2#2143886511yescharacteristic
1666C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3105C2
socleC22×C59C23×D4
hypercenter#3105D59
hypocenterC59#62175
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #21438733C2semidirect
2. #21438036C2semidirect
3. #21437052C2semidirect
4. #21436972C2semidirect
5. #21436860C2semidirect
6. #21436757C2semidirect
7. #21436684C2semidirect
8. #21436661C2semidirect
9. #21436660C2semidirect
10. #21436619C2semidirect
11. #21436539C2semidirect
12. #21436500C2semidirect
13. #21436320C2semidirect
14. #21436316C2semidirect
15. #21436302C2semidirect
16. #21436245C2semidirect
17. #21436230C2semidirect
18. #21435936C2semidirect
19. #21435554C2semidirect
20. #21435504C2semidirect
21. #21435492C2semidirect
22. #21435393C2semidirect
23. #21435354C2semidirect
24. #21435277C2semidirect
25. #21434370C2semidirect
26. #21434279C2semidirect
27. #21433948C2semidirect
28. #21433924C2semidirect
29. #21433893C2semidirect
30. #21433247C2semidirect
31. C59×#3105C2semidirect
35. #16838128C22semidirect
38. #16838116C22semidirect
40. #16838111C22semidirect
42. #16838102C22semidirect
45. #16838093C22semidirect
47. #16838086C22semidirect
56. #16838032C22semidirect
57. #16838032C22semidirect
58. #16838021C22semidirect
59. #16838021C22semidirect
68. #16837959C22semidirect
75. #16837810C22semidirect
76. #16837810C22semidirect
77. #16837804C22semidirect
78. #16837804C22semidirect
79. #16837802C22semidirect
80. #16837799C22semidirect
82. #16837760C22semidirect
83. #16837757C22semidirect
84. #16837757C22semidirect
85. #16837755C22semidirect
87. #16837745C22semidirect
88. #16837744C22semidirect
89. #16837744C22semidirect
90. #16837741C22semidirect
91. #16837734C22semidirect
92. #16837731C22semidirect
93. #16837728C22semidirect
97. #16837725C22semidirect
98. #16837725C22semidirect
100. #16837719C22semidirect
101. #16837719C22semidirect
102. #16837717C22semidirect
103. #16837712C22semidirect
104. #16837711C22semidirect
105. #16837709C22semidirect
106. #16837706C22semidirect
107. #16837705C22semidirect
110. #16837702C22semidirect
111. #16837702C22semidirect
112. #16837702C22semidirect
115. #16837700C22semidirect
116. #16837699C22semidirect
117. #16837698C22semidirect
118. #16837696C22semidirect
119. #16837695C22semidirect
120. #16837693C22semidirect
122. #16837692C22semidirect
123. #16837691C22semidirect
124. #16837688C22semidirect
125. #16837683C22semidirect
127. #16837682C22semidirect
130. #16837680C22semidirect
131. #16837658C22semidirect
132. #16837654C22semidirect
135. #16837647C22semidirect
136. #16837646C22semidirect
138. #16837645C22semidirect
139. #16837642C22semidirect
141. #16837635C22semidirect
142. #16837634C22semidirect
143. #16837624C22semidirect
144. #16837622C22semidirect
145. #16837621C22semidirect
146. #16837617C22semidirect
147. #16837615C22semidirect
148. #16837614C22semidirect
155. #16837532C22semidirect
156. C8×Dic118C22semidirect
159. #16837506C22semidirect
160. #16837505C22semidirect
161. #16837493C22semidirect
164. #16837482C22semidirect
165. #16837481C22semidirect
167. #16837477C22semidirect
169. #16837476C22semidirect
170. C8×D236C22semidirect
171. #16837462C22semidirect
172. #16837462C22semidirect
173. #16837442C22semidirect
174. #16837442C22semidirect
175. #16837441C22semidirect
176. #16837441C22semidirect
177. #16837439C22semidirect
178. #107×D59C22semidirect
179. #16837427C22semidirect
180. #16837427C22semidirect
181. #16837426C22semidirect
188. C59×#529C22semidirect
190. C59×#484C22semidirect
191. C59×#481C22semidirect
193. C59×#478C22semidirect
195. C59×#463C22semidirect
199. C4×SD16×C59C22semidirect
201. C4×D8×C59C22semidirect
202. C59×#431C22semidirect
850. #3105D59semidirect
904. #529C2×D59semidirect
926. #484C2×D59semidirect
938. #481C2×D59semidirect
955. #478C2×D59semidirect
989. #463C2×D59semidirect
1008. C4×SD16C2×D59semidirect
1011. C4×D8C2×D59semidirect
1020. #431C2×D59semidirect
1036. C59#62175semidirect

Maximal subgroups

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

subgroupindex
#214387332
#214380362
#214370522
#214369722
#214368602
#214367572
#214366842
#214366612
#214366602
#214366192
#214365392
#214365002
#214363202
#214363162
#214363022
#214362452
#214362302
#214359362
#214355542
#214355042
#214354922
#214353932
#214353542
#214352772
#214343702
#214342792
#214339482
#214339242
#214338932
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