Finite Group Databasebeta

← #41×#11745685 #29495799

Subgroups — #41×#11745685 #29495799

Order 15104.

7812 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437722C211yesmaximal, characteristic, complemented
2#21437718C211yesmaximal, characteristic, complemented
3#21437713C212yesmaximal, complemented
4#21437711C213yesmaximal, complemented
5#21437706C213yesmaximal, complemented
6#21437700C216yesmaximal, complemented
7#21437694C212yesmaximal, complemented
8#21437691C211yesmaximal, characteristic, complemented
9#21437689C213yesmaximal, complemented
10Q8×#11745685C211yesmaximal, characteristic, complemented
11#41×Dic118C211yesmaximal, characteristic, complemented
12#21437660C213yesmaximal, complemented
13#21437658C216yesmaximal, complemented
14#21437654C213yesmaximal, complemented
15#21437650C216yesmaximal, complemented
16#41×D236C211yesmaximal, characteristic, complemented
17D4×#11745685C213yesmaximal, complemented
18#41×C22⋊D59C212yesmaximal, complemented
19#21437392C213yesmaximal, complemented
20#21437389C216yesmaximal, complemented
21C2×C4×#11745685C213yesmaximal, complemented
22C4×#41×D59C212yesmaximal, complemented
23C2×C4×#41×C59C211yesmaximal, characteristic, complemented
24C22×#11745685C2213yes—
25C2×#41×D59C2212yes—
26#16838137C2213yescomplemented
27#16838135C2216yescomplemented
28Q8×Dic118C2211yescharacteristic, complemented
29#16838131C2211yescharacteristic, complemented
30#16838130C2213yescomplemented
31#16838128C2212yescomplemented
32#16838125C2213yescomplemented
33#16838124C2216yescomplemented
34#16838122C2213yescomplemented
35#16838120C2216yescomplemented
36#16838117C2213yescomplemented
37#16838115C2216yescomplemented
38#16838112C2213yescomplemented
39#16838111C2216yescomplemented
40#16838109C2213yescomplemented
41#16838107C2216yescomplemented
42#16838102C2216yescomplemented
43#16838101C22112yescomplemented
44#16838100C2216yescomplemented
45#16838098C2216yescomplemented
46#16838096C2216yescomplemented
47#16838093C2216yescomplemented
48#16838092C2216yescomplemented
49#16838091C2216yescomplemented
50#16838087C2216yescomplemented
51#16838085C22112yescomplemented
52#16838081C22112yescomplemented
53#16838078C22112yescomplemented
54#16838076C22112yescomplemented
55#16838074C2211yescharacteristic, complemented
56#16838073C2213yescomplemented
57#16838071C2212yescomplemented
58Q8×D236C2211yescharacteristic, complemented
59D4×Dic118C2213yescomplemented
60Q8×C22⋊D59C2212yescomplemented
61#16838064C2212yescomplemented
62#16838063C2212yescomplemented
63#16838061C2216yescomplemented
64#16838059C2212yescomplemented
65#16838057C2213yescomplemented
66#16838056C2213yescomplemented
67#16838053C2216yescomplemented
68#16838051C2216yescomplemented
69#16838048C2216yescomplemented
70#16838047C2216yescomplemented
71#16838046C2216yescomplemented
72#16838042C22112yescomplemented
73#16838040C2216yescomplemented
74D4×D236C2213yescomplemented
75D4×C22⋊D59C2216yescomplemented
76#16837959C2213yescomplemented
77#16837959C2213yescomplemented
78#16837959C2213yescomplemented
79#16837956C2216yescomplemented
80#16837956C2216yescomplemented
81#16837955C2216yescomplemented
82#16837952C2213yescomplemented
83#16837952C2213yescomplemented
84#16837952C2213yescomplemented
85#16837949C2216yescomplemented
86#16837949C2216yescomplemented
87#16837948C2216yescomplemented
88#16837939C2216yescomplemented
89#16837939C2216yescomplemented
90#16837936C2216yescomplemented
91#16837936C2216yescomplemented
92#16837936C2216yescomplemented
93#16837936C2216yescomplemented
94#16837936C2216yescomplemented
95#16837936C2216yescomplemented
96#16837934C2216yescomplemented
97#16837934C2216yescomplemented
98#16837932C22112yescomplemented
99#16837932C22112yescomplemented
100#16837930C22112yescomplemented
101#16837930C22112yescomplemented
102#16837914C2216yescomplemented
103#16837913C2216yescomplemented
104#16837913C2216yescomplemented
105#16837913C2216yescomplemented
106#16837911C22112yescomplemented
107#16837911C22112yescomplemented
108#16837909C2216yescomplemented
109#41×Dic59C2212yes—
110C4×#11745689C2212yescomplemented
111C4×#11745689C2212yescomplemented
112C4×#11745685C2211yescharacteristic
113C4×#11745685C2213yes—
114C4×#11745685C2216yescomplemented
115C4×#11745685C2213yescomplemented
116C4×#11745685C2213yescomplemented
117C4×#11745685C2216yescomplemented
118C4×#11745685C2216yescomplemented
119C4×#11745685C2213yescomplemented
120C4×#11745685C2216yescomplemented
121C4×#11745685C2213yescomplemented
122C4×#11745685C2216yescomplemented
123C4×#11745685C2213yescomplemented
124C4×#11745685C2213yescomplemented
125C4×#11745685C2216yescomplemented
126#16837870C2216yescomplemented
127C4×#11745687C2216yescomplemented
128C4×#11745687C2216yescomplemented
129C2×C4×Dic118C2213yescomplemented
130C2×C4×Dic118C2213yescomplemented
131C4×Q8×D59C2212yescomplemented
132C4×Q8×D59C2212yescomplemented
133C2×C4×D236C2213yescomplemented
134C2×C4×D236C2213yescomplemented
135C2×C4×C22⋊D59C2216yescomplemented
136C2×C4×C22⋊D59C2216yescomplemented
137C4×D4×D59C2216yescomplemented
138C4×D4×D59C2216yescomplemented
139C2×#14273686C2213yescomplemented
140C2×#14273684C2216yescomplemented
141#117×D59C2216yescomplemented
142C2×C42×D59C2216yescomplemented
143C22×#41×C59C2211yescharacteristic
144C4×#41×C59C2211yescharacteristic
145C4×#41×C59C2211yescharacteristic
146C4×#41×C59C2213yescomplemented
147C4×#41×C59C2211yescharacteristic, complemented
148C4×#41×C59C2213yescomplemented
149C4×#41×C59C2213yescomplemented
150C4×#41×C59C2213yescomplemented
151C4×#41×C59C2211yescharacteristic, complemented
152C2×C4×Q8×C59C2211yescharacteristic, complemented
153C2×C4×Q8×C59C2211yescharacteristic, complemented
154C2×C4×D4×C59C2213yescomplemented
155C2×C4×D4×C59C2213yescomplemented
156C2×#117×C59C2213yescomplemented
157C22×C42×C59C2213yescomplemented
158C2×#11745689C2312yes—
159C2×#11745685—224no—
160C2×#11745685C2316yes—
161C2×#11745685C2313yes—
162C2×#11745685C2316yes—
163C2×#11745685C2316yes—
164C2×#11745685C2313yes—
165C2×#11745685C2313yes—
166C2×#11745685C2316yes—
167C2×#11745685C2311yescharacteristic
168C2×#11745687C2316yes—
169#41×D59—216no—
170C22×Dic118C2313yes—
171C2×Q8×D59C2312yes—
172C22×D236C2313yes—
173C22×C22⋊D59C2316yes—
174C2×D4×D59C2316yes—
175C22×C4×D59C2316yes—
176C22×C4×D59C2316yes—
177C22×C4×D59C2316yes—
178#14273727C2313yes—
179#14273727C2313yes—
180#14273727C2313yes—
181#14273726C2316yes—
182#14273726C2316yes—
183#14273725C2316yes—
184#14273724C2313yes—
185#14273723C2316yes—
186#14273722C23112yes—
187#14273722C23112yes—
188#14273721C23112yes—
189#14273721C23112yes—
190#14273720C23112yes—
191#14273720C23112yes—
192#14273719C2316yes—
193#14273719C2316yes—
194#14273719C2316yes—
195#14273718C2316yes—
196#14273718C2316yes—
197#14273717C23112yes—
198#14273717C23112yes—
199#14273716C2316yes—
200#14273715C2316yes—
201#14273715C2316yes—
202#14273715C2316yes—
203#14273714C2316yes—
204#14273713C23112yes—
205#14273713C23112yes—
206#14273712C23112yes—
207#14273712C23112yes—
208#14273711C23112yes—
209#14273710C23112yes—
210#14273710C23112yes—
211#14273710C23112yes—
212#14273709C23112yes—
213#14273709C23112yes—
214#14273708C23112yes—
215#14273707C2316yes—
216#14273707C2316yes—
217#14273706C2316yes—
218#14273706C2316yes—
219#14273706C2316yes—
220#14273706C2316yes—
221#14273706C2316yes—
222#14273706C2316yes—
223#14273705C23112yes—
224#14273705C23112yes—
225#14273704C23112yes—
226#14273704C23112yes—
227#14273703C2316yes—
228#14273703C2316yes—
229#14273702C2316yes—
230#14273702C2316yes—
231#14273701C2316yes—
232#14273701C2316yes—
233#14273701C2316yes—
234#14273701C2316yes—
235#14273701C2316yes—
236#14273701C2316yes—
237#14273700C23112yes—
238#14273700C23112yes—
239#14273699C23112yes—
240#14273699C23112yes—
241#14273698C2316yes—
242#14273698C2316yes—
243#14273697C23112yes—
244#14273696C23112yes—
245#14273695C23112yes—
246Q8×Dic59C2312yes—
247Q8×Dic59C2312yes—
248C4×Dic118C2316yes—
249C4×Dic118C2316yes—
250C4×Dic118C2316yes—
251C4×Dic118C2316yes—
252C4×Dic118C2316yes—
253C4×Dic118C2316yes—
254C4×Dic118C2313yes—
255C4×Dic118C2313yes—
256C4×Dic118C2313yes—
257C4×Dic118C2313yes—
258C4×Dic118C2316yes—
259C4×Dic118C2313yes—
260C4×Dic118C2313yes—
261C4×Dic118C2316yes—
262C4×Dic118C2311yescharacteristic
263C4×Dic118C2311yescharacteristic
264#14273692C2316yes—
265#14273692C2316yes—
266C4×D236C2316yes—
267C4×D236C2316yes—
268C4×D236C2316yes—
269C4×D236C2316yes—
270C4×D236C2313yes—
271C4×D236C2313yes—
272C4×D236C2316yes—
273C4×D236C2316yes—
274C4×D236C2313yes—
275C4×D236C2316yes—
276C4×D236C2313yes—
277C4×D236C2313yes—
278C4×D236C2316yes—
279C4×D236C2313yes—
280C4×D236C2311yescharacteristic
281C4×D236C2311yescharacteristic
282D4×Dic59C2316yes—
283D4×Dic59C2316yes—
284#14273689C2316yes—
285#14273689C2316yes—
286C4×C22⋊D59C2316yes—
287C4×C22⋊D59C23112yes—
288C4×C22⋊D59C2316yes—
289C4×C22⋊D59C23112yes—
290C4×C22⋊D59C23112yes—
291C4×C22⋊D59C23112yes—
292C4×C22⋊D59C2316yes—
293C4×C22⋊D59C2316yes—
294C4×C22⋊D59C2316yes—
295C4×C22⋊D59C2316yes—
296C4×C22⋊D59C2316yes—
297C4×C22⋊D59C2316yes—
298C4×C22⋊D59C2316yes—
299C4×C22⋊D59C2316yes—
300C4×C22⋊D59C2316yes—
301C4×C22⋊D59C2316yes—
302C4×C22⋊D59C2316yes—
303C4×C22⋊D59C2316yes—
304C4×C22⋊D59C2312yes—
305C4×C22⋊D59C2312yes—
306(C22⋊D59)⋊C4C23112yes—
307(C22⋊D59)⋊C4C23112yes—
308#14273686C2316yes—
309#14273686C2313yes—
310#14273686C2316yes—
311#14273686C2316yes—
312#14273686C2316yes—
313#14273686C2313yes—
314#14273686C2313yes—
315#14273686C2311yescharacteristic
316#14273685C2316yes—
317#14273685C2316yes—
318#14273684C2316yes—
319#14273684C23112yes—
320#14273684C23112yes—
321#14273684C2316yes—
322#14273684C2316yes—
323#14273684C2316yes—
324#14273684C2316yes—
325#14273684C2316yes—
326#14273684C2316yes—
327#14273684C2312yes—
328#14273683C23112yes—
329C2×C4⋊Dic59C2313yes—
330C2×C4⋊Dic59C2313yes—
331C2×Dic59⋊C4C2316yes—
332C2×Dic59⋊C4C2316yes—
333C4⋊C4×D59C2316yes—
334C4⋊C4×D59C2316yes—
335C2×C22⋊Dic59C2316yes—
336C2×(C2×D59)⋊C4C2316yes—
337C2×(C2×D59)⋊C4C2316yes—
338C22⋊C4×D59C23112yes—
339C2×C4×Dic59C2316yes—
340C2×C4×Dic59C2316yes—
341C2×C4×Dic59C2316yes—
342C42×D59C2316yes—
343C42×D59C2316yes—
344C42×D59C2316yes—
345C42×D59C2316yes—
346C42×D59C2316yes—
347C42×D59C2316yes—
348C42×D59C2312yes—
349C42×D59C2316yes—
350C2×#41×C59—28no—
351C2×#41×C59C2313yes—
352C2×#41×C59C2313yes—
353C2×#41×C59C2311yescharacteristic
354C2×#41×C59C2311yescharacteristic
355C22×Q8×C59C2311yescharacteristic
356C22×D4×C59C2313yes—
357C23×C4×C59C2313yes—
358C23×C4×C59C2313yes—
359C23×C4×C59C2313yes—
360C4×Q8×C59C2313yes—
361C4×Q8×C59C2313yes—
362C4×Q8×C59C2311yescharacteristic
363C4×Q8×C59C2311yescharacteristic
364C4×Q8×C59C2311yescharacteristic
365C4×Q8×C59C2311yescharacteristic
366C4×Q8×C59C2313yes—
367C4×Q8×C59C2313yes—
368C4×D4×C59C2316yes—
369C4×D4×C59C2316yes—
370C4×D4×C59C2313yes—
371C4×D4×C59C2313yes—
372C4×D4×C59C2313yes—
373C4×D4×C59C2313yes—
374C4×D4×C59C2316yes—
375C4×D4×C59C2313yes—
376C4×D4×C59C2313yes—
377C4×D4×C59C2313yes—
378C4×D4×C59C2316yes—
379C4×D4×C59C2313yes—
380#117×C59C2313yes—
381#117×C59C2316yes—
382#117×C59C2313yes—
383#117×C59C2316yes—
384#117×C59C2313yes—
385#117×C59C2313yes—
386C2×C4⋊C4×C59C2313yes—
387C2×C4⋊C4×C59C2313yes—
388C2×C22⋊C4×C59C2316yes—
389C2×C42×C59C2313yes—
390C2×C42×C59C2313yes—
391C2×C42×C59C2313yes—
392C2×C42×C59C2313yes—
393C2×C42×C59C2313yes—
394C2×C42×C59C2313yes—
395C2×C42×C59C2313yes—
396C2×C42×C59C2313yes—
397C2×C42×C59C2313yes—
398C2×C42×C59C2311yescharacteristic
399C2×C42×C59C2313yes—
400C2×C42×C59C2313yes—
401C24×C59C2413yes—
402C23×D59C2416yes—
403#41×C59—24no—
404#41×C59—212no—
405#41×C59—212no—
406#41×C59#4118yescomplemented
407C2×Q8×C59—24no—
408C2×Q8×C59C2413yes—
409C2×Q8×C59C2411yescharacteristic
410C2×D4×C59—212no—
411C2×D4×C59C2416yes—
412C2×D4×C59C2413yes—
413C2×D4×C59C2413yes—
414C22×C4×C59—212no—
415C22×C4×C59—212no—
416C22×C4×C59—46no—
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2413yes—
420C22×C4×C59C2413yes—
421C22×C4×C59C2413yes—
422C22×C4×C59C2413yes—
423C22×C4×C59C2413yes—
424C22×C4×C59C2413yes—
425C22×C4×C59C2413yes—
426C22×C4×C59C2413yes—
427C22×C4×C59C2413yes—
428C22×C4×C59C2413yes—
429C22×C4×C59C2413yes—
430C22×C4×C59C2413yes—
431C22×C4×C59C2413yes—
432C22×C4×C59C2413yes—
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2413yes—
435C2×C22⋊D59—224no—
436C2×C22⋊D59C24112yes—
437C2×C22⋊D59C2416yes—
438C2×C22⋊D59C2416yes—
439C2×C22⋊D59C2416yes—
440C2×C22⋊D59C24112yes—
441C2×C22⋊D59C2412yes—
442C22×Dic59C2416yes—
443C22×Dic59C2416yes—
444C22×Dic59C2416yes—
445#11745689—28no—
446Q8×D59—28no—
447#11745687—224no—
448D4×D59—224no—
449#11745685—224no—
450#11745685—212no—
451#11745685—224no—
452#11745685—212no—
453#11745685—224no—
454#11745685—212no—
455#11745685—412no—
456#11745685#4118yesdirect product factor
457C2×D236—212no—
458C2×D236C2416yes—
459C2×D236C2416yes—
460C2×D236C2413yes—
461C2×D236C2416yes—
462C2×D236C2411yescharacteristic
463C2×C4×D59—224no—
464C2×C4×D59—224no—
465C2×C4×D59—412no—
466C2×C4×D59C2412yes—
467C2×C4×D59C2412yes—
468C2×C4×D59C2416yes—
469C2×C4×D59C2416yes—
470C2×C4×D59C2416yes—
471C2×C4×D59C2416yes—
472C2×C4×D59C2416yes—
473C2×C4×D59C2416yes—
474C2×C4×D59C2416yes—
475C2×C4×D59C2416yes—
476C2×C4×D59C2416yes—
477C2×C4×D59C2412yes—
478C2×Dic118—212no—
479C2×Dic118C2416yes—
480C2×Dic118C2416yes—
481C2×Dic118C2413yes—
482C2×Dic118C2416yes—
483C2×Dic118C2411yescharacteristic
484C4⋊C4×C59C2413yes—
485C4⋊C4×C59C2413yes—
486C4⋊C4×C59C2413yes—
487C4⋊C4×C59C2413yes—
488C4⋊C4×C59C2416yes—
489C4⋊C4×C59C2416yes—
490C22⋊C4×C59C2416yes—
491C22⋊C4×C59C2416yes—
492C22⋊C4×C59C2416yes—
493C22⋊C4×C59C2416yes—
494C42×C59C2411yescharacteristic
495C42×C59C2411yescharacteristic
496C42×C59C2411yescharacteristic
497C42×C59C2413yes—
498C42×C59C2413yes—
499C42×C59C2413yes—
500C42×C59C2413yes—
501C42×C59C2413yes—
502C42×C59C2413yes—
503C42×C59C2413yes—
504C42×C59C2413yes—
505C42×C59C2413yes—
506C42×C59C2413yes—
507C42×C59C2413yes—
508C42×C59C2413yes—
509C42×C59C2411yescharacteristic
510C22⋊Dic59C24112yes—
511C22⋊Dic59C2412yes—
512C22⋊Dic59C2416yes—
513C22⋊Dic59C2416yes—
514C22⋊Dic59C2416yes—
515C22⋊Dic59C24112yes—
516(C2×D59)⋊C4C24112yes—
517(C2×D59)⋊C4C24112yes—
518(C2×D59)⋊C4C2412yes—
519(C2×D59)⋊C4C2412yes—
520(C2×D59)⋊C4C2416yes—
521(C2×D59)⋊C4C2416yes—
522(C2×D59)⋊C4C2416yes—
523(C2×D59)⋊C4C2416yes—
524(C2×D59)⋊C4C2416yes—
525(C2×D59)⋊C4C2416yes—
526(C2×D59)⋊C4C24112yes—
527(C2×D59)⋊C4C24112yes—
528C4⋊Dic59C2416yes—
529C4⋊Dic59C2416yes—
530C4⋊Dic59C2411yescharacteristic
531C4⋊Dic59C2411yescharacteristic
532C4⋊Dic59C2413yes—
533C4⋊Dic59C2413yes—
534C4⋊Dic59C2416yes—
535C4⋊Dic59C2416yes—
536C4⋊Dic59C2416yes—
537C4⋊Dic59C2416yes—
538Dic59⋊C4C24112yes—
539Dic59⋊C4C24112yes—
540Dic59⋊C4C2412yes—
541Dic59⋊C4C2412yes—
542Dic59⋊C4C2416yes—
543Dic59⋊C4C2416yes—
544Dic59⋊C4C2416yes—
545Dic59⋊C4C2416yes—
546Dic59⋊C4C2416yes—
547Dic59⋊C4C2416yes—
548Dic59⋊C4C24112yes—
549Dic59⋊C4C24112yes—
550C4×Dic59C2412yes—
551C4×Dic59C2412yes—
552C4×Dic59C2412yes—
553C4×Dic59C2416yes—
554C4×Dic59C2416yes—
555C4×Dic59C2416yes—
556C4×Dic59C2416yes—
557C4×Dic59C2416yes—
558C4×Dic59C2416yes—
559C4×Dic59C2416yes—
560C4×Dic59C2416yes—
561C4×Dic59C2416yes—
562C23×C59—26no—
563C23×C59—26no—
564C23×C59—43no—
565C23×C59C2513yes—
566C23×C59C2511yescharacteristic
567C23×C59C2513yes—
568C22×D59—212no—
569C22×D59—212no—
570C22×D59—46no—
571C22×D59C2516yes—
572C22×D59C2512yes—
573Q8×C59—26no—
574Q8×C59C2×#4114yescomplemented
575D4×C59—212no—
576D4×C59—26no—
577D4×C59C2×#41112yescomplemented
578C2×C4×C59—26no—
579C2×C4×C59—26no—
580C2×C4×C59—26no—
581C2×C4×C59—26no—
582C2×C4×C59—26no—
583C2×C4×C59—26no—
584C2×C4×C59—22no—
585C2×C4×C59—26no—
586C2×C4×C59—26no—
587C2×C4×C59—26no—
588C2×C4×C59—26no—
589C2×C4×C59—26no—
590C2×C4×C59—22no—
591C2×C4×C59—43no—
592C2×C4×C59—43no—
593C2×C4×C59—43no—
594C2×C4×C59C2×#4114yescomplemented
595C2×C4×C59C2×#41112yescomplemented
596C2×C4×C59C2513yes—
597C2×C4×C59C2513yes—
598C2×C4×C59C2511yescharacteristic
599C2×C4×C59C2511yescharacteristic
600C2×C4×C59C2513yes—
601C2×C4×C59C2513yes—
602C2×C4×C59C2513yes—
603C2×C4×C59C2511yescharacteristic
604C2×C4×C59C2511yescharacteristic
605C2×C4×C59C2513yes—
606C2×C4×C59C2511yescharacteristic
607C2×C4×C59C2511yescharacteristic
608C22⋊D59—212no—
609C22⋊D59—224no—
610C22⋊D59—212no—
611C22⋊D59—212no—
612C22⋊D59—412no—
613C22⋊D59C2×#4118yescomplemented
614C2×Dic59—212no—
615C2×Dic59—212no—
616C2×Dic59—46no—
617C2×Dic59C2512yes—
618C2×Dic59C2512yes—
619C2×Dic59C2516yes—
620C2×Dic59C2516yes—
621C2×Dic59C2516yes—
622C2×Dic59C2512yes—
623D236—212no—
624D236—26no—
625D236—212no—
626D236—46no—
627D236C2×#4114yescomplemented
628C4×D59—212no—
629C4×D59—24no—
630C4×D59—212no—
631C4×D59—212no—
632C4×D59—212no—
633C4×D59—212no—
634C4×D59—24no—
635C4×D59—212no—
636C4×D59—212no—
637C4×D59—46no—
638C4×D59—46no—
639C4×D59C2×#4118yescomplemented
640Dic118—26no—
641Dic118—212no—
642Dic118—212no—
643Dic118—46no—
644Dic118C2×#4114yescomplemented
645#412—591nomaximal, Sylow
646C22×C59—23no—
647C22×C59—21no—
648C22×C59—23no—
649C22×C59—21no—
650C22×C59—23no—
651C22×C59—23no—
652C22×C59—23no—
653C22×C59—412no—
654C22×C59C22×#4112yes—
655C22×C59C22×#4116yes—
656C22×C59C2611yescharacteristic
657C2×D59—22no—
658C2×D59—22no—
659C2×D59—26no—
660C2×D59—26no—
661C2×D59—26no—
662C2×D59—424no—
663C2×D59C22×#4114yes—
664C4×C59—23no—
665C4×C59—23no—
666C4×C59—21no—
667C4×C59—23no—
668C4×C59—23no—
669C4×C59—23no—
670C4×C59—21no—
671C4×C59C22×#4112yes—
672C4×C59C22×#4112yes—
673C4×C59C22×#4116yes—
674C4×C59C22×#4112yes—
675C4×C59#58512yes—
676Dic59—26no—
677Dic59—26no—
678Dic59—22no—
679Dic59—26no—
680Dic59—22no—
681Dic59C22×#4114yes—
682#3483—591no—
683#3482—593no—
684#3482—591no—
685#3482—592no—
686#3481—593no—
687#3481—596no—
688#3480—593no—
689#3480—592no—
690#3480—591no—
691Q8×#41—591no—
692Q8×#41—591no—
693#3475—596no—
694#3475—593no—
695#3475—593no—
696#3475—596no—
697D4×#41—592no—
698D4×#41—591no—
699D4×#41—593no—
700#3444—593no—
701#3444—596no—
702C2×C4×#41—593no—
703C2×C4×#41—592no—
704C2×C4×#41D5911yescharacteristic, complemented
705C2×C59—26no—
706C2×C59—22no—
707C2×C59—43no—
708C2×C59C23×#4111yescharacteristic
709C2×C59C23×#4111yescharacteristic
710C2×C59C2×#58511yescharacteristic
711D59—24no—
712D59—46no—
713C22×#41—592no—
714C22×#41—593no—
715C22×#41C2×D5911yescharacteristic
716#559—593no—
717#559—596no—
718Q82—591no—
719#557—592no—
720#557—593no—
721#557—591no—
722#556—596no—
723#556—593no—
724#556—593no—
725#556—596no—
726#555—593no—
727#555—596no—
728#554—593no—
729#554—593no—
730#554—596no—
731#554—596no—
732#553—596no—
733#553—5912no—
734#553—596no—
735#553—596no—
736#553—596no—
737#552—596no—
738#552—596no—
739#552—5912no—
740#552—596no—
741#552—596no—
742#551—5912no—
743#551—5912no—
744#551—5912no—
745#550—592no—
746#550—591no—
747#550—593no—
748D4×Q8—592no—
749D4×Q8—591no—
750D4×Q8—593no—
751#548—592no—
752#548—592no—
753#548—592no—
754#548—596no—
755#547—596no—
756#547—593no—
757#547—593no—
758#547—596no—
759#546—596no—
760#546—596no—
761#546—596no—
762#546—596no—
763#546—5912no—
764D42—596no—
765D42—593no—
766#533—596no—
767#533—596no—
768#533—596no—
769#533—593no—
770#533—593no—
771#533—593no—
772#532—596no—
773#532—596no—
774#532—596no—
775#532—593no—
776#532—593no—
777#532—593no—
778#529—596no—
779#529—596no—
780#529—5912no—
781#529—5912no—
782#529—596no—
783#529—596no—
784#529—5912no—
785#529—5912no—
786#529—596no—
787#529—596no—
788#529—596no—
789#529—596no—
790#529—596no—
791#529—596no—
792#525—596no—
793#525—596no—
794#525—596no—
795#525—596no—
796#525—5912no—
797#525—5912no—
798#525—596no—
799C4×#41—592no—
800C4×#41—592no—
801C4×#41—592no—
802C4×#41—596no—
803C4×#41—596no—
804C4×#41—596no—
805C4×#41—591no—
806C4×#41—593no—
807C4×#41—596no—
808C4×#41—596no—
809C4×#41—593no—
810C4×#41—593no—
811C4×#41—596no—
812C4×#41—596no—
813C4×#41—593no—
814C4×#41—593no—
815C4×#41—593no—
816C4×#41—596no—
817C4×#41—593no—
818C4×#41—596no—
819C4×#41C2×D5911yescharacteristic
820C4×#41C2×D5911yescharacteristic
821C4×#41C2×D5913yescomplemented
822C4×#41C2×D5913yescomplemented
823C4×#41C2×D5913yescomplemented
824C4×#41C2×D5911yescharacteristic, complemented
825C4×#41C2×D5913yescomplemented
826C4×#41C2×D5911yescharacteristic, complemented
827C2×C4×Q8—592no—
828C2×C4×Q8—592no—
829C2×C4×Q8—593no—
830C2×C4×Q8—593no—
831C2×C4×Q8C2×D5911yescharacteristic, complemented
832C2×C4×Q8C2×D5911yescharacteristic, complemented
833C2×C4×D4—596no—
834C2×C4×D4—596no—
835C2×C4×D4—596no—
836C2×C4×D4—596no—
837C2×C4×D4—593no—
838C2×C4×D4—593no—
839C2×C4×D4C2×D5913yescomplemented
840C2×C4×D4C2×D5913yescomplemented
841C2×#117—593no—
842C2×#117—596no—
843C2×#117—596no—
844C2×#117C2×D5913yescomplemented
845C22×C42—596no—
846C22×C42C2×D5913yescomplemented
847C59#41211yescharacteristic, complemented, Sylow
848C2×#41—28no—
849C2×#41—592no—
850C2×#41—596no—
851C2×#41—591no—
852C2×#41—596no—
853C2×#41—593no—
854C2×#41—596no—
855C2×#41—593no—
856C2×#41—596no—
857C2×#41—593no—
858C2×#41—596no—
859C2×#41—11824no—
860C2×#41—11816no—
861C2×#41C22×D5913yes—
862C2×#41C22×D5913yes—
863C2×#41C22×D5911yescharacteristic
864C2×#41C22×D5911yescharacteristic
865C22×Q8—592no—
866C22×Q8—593no—
867C22×Q8C22×D5911yescharacteristic
868C22×D4—596no—
869C22×D4—596no—
870C22×D4—593no—
871C22×D4C22×D5913yes—
872C23×C4—596no—
873C23×C4—596no—
874C23×C4—596no—
875C23×C4C22×D5913yes—
876C23×C4C22×D5913yes—
877C23×C4C22×D5913yes—
878C4⋊Q8—596no—
879C4⋊Q8—596no—
880C4⋊Q8—596no—
881C4⋊Q8—593no—
882C4⋊Q8—593no—
883C4⋊Q8—593no—
884#127—596no—
885#127—593no—
886#126—5912no—
887#126—5912no—
888#126—5912no—
889#126—5912no—
890#126—5912no—
891#126—5912no—
892#125—5912no—
893#125—5912no—
894#125—596no—
895#125—596no—
896#125—596no—
897#125—596no—
898#125—596no—
899#124—596no—
900#124—596no—
901#124—5912no—
902#124—5912no—
903#124—596no—
904#124—596no—
905#124—596no—
906#123—5912no—
907#123—5912no—
908#123—5912no—
909#123—5912no—
910#123—5912no—
911#123—5912no—
912#123—5912no—
913#123—5912no—
914#123—5912no—
915C22⋊Q8—596no—
916C22⋊Q8—596no—
917C22⋊Q8—596no—
918C22⋊Q8—596no—
919C22⋊Q8—596no—
920C22⋊Q8—596no—
921C22⋊Q8—596no—
922C22⋊Q8—596no—
923C22⋊Q8—596no—
924C22⋊Q8—5912no—
925C22⋊Q8—596no—
926C22⋊Q8—5912no—
927C22⋊Q8—5912no—
928C22⋊Q8—5912no—
929#121—596no—
930#121—5912no—
931#121—5912no—
932#121—596no—
933#121—596no—
934#121—596no—
935#121—596no—
936#121—596no—
937#121—596no—
938#121—596no—
939#121—596no—
940#121—596no—
941#121—5912no—
942#121—5912no—
943#120—5912no—
944#120—5912no—
945#120—5912no—
946C4×Q8—592no—
947C4×Q8—592no—
948C4×Q8—596no—
949C4×Q8—596no—
950C4×Q8—591no—
951C4×Q8—591no—
952C4×Q8—596no—
953C4×Q8—596no—
954C4×Q8—596no—
955C4×Q8—596no—
956C4×Q8—593no—
957C4×Q8—593no—
958C4×Q8—593no—
959C4×Q8—593no—
960C4×Q8—593no—
961C4×Q8—596no—
962C4×Q8—593no—
963C4×Q8—596no—
964C4×Q8—596no—
965C4×Q8—596no—
966C4×Q8C22×D5911yescharacteristic
967C4×Q8C22×D5911yescharacteristic
968C4×Q8C22×D5911yescharacteristic
969C4×Q8C22×D5911yescharacteristic
970C4×Q8C22×D5913yes—
971C4×Q8C22×D5913yes—
972C4×Q8C22×D5913yes—
973C4×Q8C22×D5913yes—
974C4×D4—596no—
975C4×D4—596no—
976C4×D4—592no—
977C4×D4—592no—
978C4×D4—5912no—
979C4×D4—5912no—
980C4×D4—596no—
981C4×D4—596no—
982C4×D4—596no—
983C4×D4—596no—
984C4×D4—596no—
985C4×D4—596no—
986C4×D4—596no—
987C4×D4—596no—
988C4×D4—596no—
989C4×D4—596no—
990C4×D4—596no—
991C4×D4—596no—
992C4×D4—596no—
993C4×D4—596no—
994C4×D4—5912no—
995C4×D4—5912no—
996C4×D4—596no—
997C4×D4—596no—
998C4×D4—5912no—
999C4×D4—5912no—
1000C4×D4—591no—
1001C4×D4—591no—
1002C4×D4—596no—
1003C4×D4—596no—
1004C4×D4—596no—
1005C4×D4—596no—
1006C4×D4—593no—
1007C4×D4—593no—
1008C4×D4—593no—
1009C4×D4—593no—
1010C4×D4—596no—
1011C4×D4—593no—
1012C4×D4—596no—
1013C4×D4—593no—
1014C4×D4—596no—
1015C4×D4—596no—
1016C4×D4C22×D5913yes—
1017C4×D4C22×D5913yes—
1018C4×D4C22×D5913yes—
1019C4×D4C22×D5913yes—
1020C4×D4C22×D5916yes—
1021C4×D4C22×D5916yes—
1022C4×D4C22×D5913yes—
1023C4×D4C22×D5913yes—
1024C4×D4C22×D5916yes—
1025C4×D4C22×D5913yes—
1026C4×D4C22×D5916yes—
1027C4×D4C22×D5913yes—
1028#117—591no—
1029#117—593no—
1030#117—596no—
1031#117—596no—
1032#117—596no—
1033#117—593no—
1034#117—593no—
1035#117—596no—
1036#117—596no—
1037#117—596no—
1038#117—5912no—
1039#117—592no—
1040#117—596no—
1041#117—596no—
1042#117—5912no—
1043#117—596no—
1044#117—596no—
1045#117—596no—
1046#117—596no—
1047#117—596no—
1048#117—5912no—
1049#117C22×D5913yes—
1050#117C22×D5913yes—
1051#117C22×D5916yes—
1052#117C22×D5916yes—
1053#117C22×D5913yes—
1054#117C22×D5913yes—
1055C2×C4⋊C4—596no—
1056C2×C4⋊C4—593no—
1057C2×C4⋊C4—596no—
1058C2×C4⋊C4—593no—
1059C2×C4⋊C4—596no—
1060C2×C4⋊C4—596no—
1061C2×C4⋊C4C22×D5913yes—
1062C2×C4⋊C4C22×D5913yes—
1063C2×C22⋊C4—596no—
1064C2×C22⋊C4—596no—
1065C2×C22⋊C4—596no—
1066C2×C22⋊C4—5912no—
1067C2×C22⋊C4C22×D5916yes—
1068C2×C42—596no—
1069C2×C42—596no—
1070C2×C42—596no—
1071C2×C42—596no—
1072C2×C42—596no—
1073C2×C42—596no—
1074C2×C42—596no—
1075C2×C42—596no—
1076C2×C42—596no—
1077C2×C42—596no—
1078C2×C42—592no—
1079C2×C42C22×D5913yes—
1080C2×C42C22×D5913yes—
1081C2×C42C22×D5913yes—
1082C2×C42C22×D5913yes—
1083C2×C42C22×D5913yes—
1084C2×C42C22×D5913yes—
1085C2×C42C22×D5913yes—
1086C2×C42C22×D5913yes—
1087C2×C42C22×D5913yes—
1088C2×C42C22×D5913yes—
1089C2×C42C22×D5911yescharacteristic
1090C2×C42C22×D5913yes—
1091C24—596no—
1092C24C23×D5913yes—
1093#41—24no—
1094#41—212no—
1095#41—212no—
1096#41—598no—
1097#41—11824no—
1098#41—11824no—
1099#41—11812no—
1100#41—11812no—
1101#41—1188no—
1102#41—11824no—
1103#41—11812no—
1104#41—11824no—
1105#41—23612no—
1106#41#1174568518yesdirect product factor
1107C2×Q8—24no—
1108C2×Q8—591no—
1109C2×Q8—596no—
1110C2×Q8—593no—
1111C2×Q8—596no—
1112C2×Q8—596no—
1113C2×Q8—11812no—
1114C2×Q8—1188no—
1115C2×Q8C23×D5913yes—
1116C2×Q8C23×D5911yescharacteristic
1117C2×D4—212no—
1118C2×D4—592no—
1119C2×D4—596no—
1120C2×D4—596no—
1121C2×D4—5912no—
1122C2×D4—596no—
1123C2×D4—5912no—
1124C2×D4—591no—
1125C2×D4—596no—
1126C2×D4—593no—
1127C2×D4—596no—
1128C2×D4—596no—
1129C2×D4—11812no—
1130C2×D4—11824no—
1131C2×D4—11824no—
1132C2×D4C23×D5916yes—
1133C2×D4C23×D5913yes—
1134C2×D4C23×D5913yes—
1135C22×C4—212no—
1136C22×C4—212no—
1137C22×C4—46no—
1138C22×C4—592no—
1139C22×C4—596no—
1140C22×C4—596no—
1141C22×C4—596no—
1142C22×C4—592no—
1143C22×C4—592no—
1144C22×C4—596no—
1145C22×C4—596no—
1146C22×C4—596no—
1147C22×C4—596no—
1148C22×C4—596no—
1149C22×C4—596no—
1150C22×C4—596no—
1151C22×C4—596no—
1152C22×C4—596no—
1153C22×C4—11824no—
1154C22×C4—11824no—
1155C22×C4—23612no—
1156C22×C4C23×D5913yes—
1157C22×C4C23×D5913yes—
1158C22×C4C23×D5911yescharacteristic
1159C22×C4C23×D5911yescharacteristic
1160C22×C4C23×D5913yes—
1161C22×C4C23×D5913yes—
1162C22×C4C23×D5913yes—
1163C22×C4C23×D5913yes—
1164C22×C4C23×D5913yes—
1165C22×C4C23×D5913yes—
1166C22×C4C23×D5913yes—
1167C22×C4C23×D5913yes—
1168C22×C4C23×D5913yes—
1169C22×C4C23×D5913yes—
1170C22×C4C23×D5913yes—
1171C22×C4C23×D5913yes—
1172C22×C4C23×D5911yescharacteristic
1173C22×C4C23×D5913yes—
1174C4⋊C4—592no—
1175C4⋊C4—592no—
1176C4⋊C4—591no—
1177C4⋊C4—591no—
1178C4⋊C4—596no—
1179C4⋊C4—596no—
1180C4⋊C4—593no—
1181C4⋊C4—593no—
1182C4⋊C4—596no—
1183C4⋊C4—596no—
1184C4⋊C4—596no—
1185C4⋊C4—596no—
1186C4⋊C4—5912no—
1187C4⋊C4—5912no—
1188C4⋊C4—596no—
1189C4⋊C4—596no—
1190C4⋊C4—596no—
1191C4⋊C4—596no—
1192C4⋊C4—5912no—
1193C4⋊C4—5912no—
1194C4⋊C4—596no—
1195C4⋊C4—596no—
1196C4⋊C4C23×D5913yes—
1197C4⋊C4C23×D5913yes—
1198C4⋊C4C23×D5913yes—
1199C4⋊C4C23×D5913yes—
1200C4⋊C4C23×D5916yes—
1201C4⋊C4C23×D5916yes—
1202C22⋊C4—592no—
1203C22⋊C4—596no—
1204C22⋊C4—5912no—
1205C22⋊C4—596no—
1206C22⋊C4—596no—
1207C22⋊C4—5912no—
1208C22⋊C4—592no—
1209C22⋊C4—592no—
1210C22⋊C4—596no—
1211C22⋊C4—596no—
1212C22⋊C4—596no—
1213C22⋊C4—596no—
1214C22⋊C4—5912no—
1215C22⋊C4—5912no—
1216C22⋊C4—596no—
1217C22⋊C4—596no—
1218C22⋊C4—5912no—
1219C22⋊C4—5912no—
1220C22⋊C4C23×D5916yes—
1221C22⋊C4C23×D5916yes—
1222C22⋊C4C23×D5916yes—
1223C22⋊C4C23×D5916yes—
1224C42—592no—
1225C42—592no—
1226C42—592no—
1227C42—596no—
1228C42—596no—
1229C42—596no—
1230C42—596no—
1231C42—596no—
1232C42—596no—
1233C42—596no—
1234C42—596no—
1235C42—596no—
1236C42C23×D5913yes—
1237C42C23×D5913yes—
1238C42C23×D5913yes—
1239C42C23×D5911yescharacteristic
1240C42C23×D5911yescharacteristic
1241C42C23×D5911yescharacteristic
1242C42C23×D5913yes—
1243C42C23×D5913yes—
1244C42C23×D5913yes—
1245C42C23×D5913yes—
1246C42C23×D5913yes—
1247C42C23×D5913yes—
1248C42C23×D5913yes—
1249C42C23×D5913yes—
1250C42C23×D5913yes—
1251C42C23×D5911yescharacteristic
1252C23—26no—
1253C23—26no—
1254C23—43no—
1255C23—592no—
1256C23—596no—
1257C23—11812no—
1258C23—11812no—
1259C23—2366no—
1260C23C24×D5913yes—
1261C23C24×D5911yescharacteristic
1262C23C24×D5913yes—
1263Q8—26no—
1264Q8—594no—
1265Q8—11812no—
1266Q8—1186no—
1267Q8—11812no—
1268Q8—2366no—
1269Q8C2×#1174568514yescomplemented
1270D4—212no—
1271D4—26no—
1272D4—598no—
1273D4—594no—
1274D4—11812no—
1275D4—11812no—
1276D4—11812no—
1277D4—11812no—
1278D4—11824no—
1279D4—1186no—
1280D4—11812no—
1281D4—2366no—
1282D4—23612no—
1283D4C2×#11745685112yescomplemented
1284C2×C4—26no—
1285C2×C4—26no—
1286C2×C4—26no—
1287C2×C4—26no—
1288C2×C4—26no—
1289C2×C4—26no—
1290C2×C4—22no—
1291C2×C4—26no—
1292C2×C4—26no—
1293C2×C4—26no—
1294C2×C4—22no—
1295C2×C4—26no—
1296C2×C4—26no—
1297C2×C4—43no—
1298C2×C4—43no—
1299C2×C4—43no—
1300C2×C4—592no—
1301C2×C4—598no—
1302C2×C4—592no—
1303C2×C4—592no—
1304C2×C4—596no—
1305C2×C4—596no—
1306C2×C4—596no—
1307C2×C4—11812no—
1308C2×C4—11812no—
1309C2×C4—11812no—
1310C2×C4—11812no—
1311C2×C4—11812no—
1312C2×C4—1184no—
1313C2×C4—11812no—
1314C2×C4—11812no—
1315C2×C4—11812no—
1316C2×C4—1184no—
1317C2×C4—11812no—
1318C2×C4—2366no—
1319C2×C4—2366no—
1320C2×C4—2366no—
1321C2×C4#41×D5914yescomplemented
1322C2×C4C2×#11745685112yescomplemented
1323C2×C4C24×D5913yes—
1324C2×C4C24×D5913yes—
1325C2×C4C24×D5911yescharacteristic
1326C2×C4C24×D5911yescharacteristic
1327C2×C4C24×D5913yes—
1328C2×C4C24×D5913yes—
1329C2×C4C24×D5913yes—
1330C2×C4C24×D5911yescharacteristic
1331C2×C4C24×D5911yescharacteristic
1332C2×C4C24×D5911yescharacteristic
1333C2×C4C24×D5913yes—
1334C2×C4C24×D5911yescharacteristic
1335C22—23no—
1336C22—21no—
1337C22—21no—
1338C22—23no—
1339C22—23no—
1340C22—23no—
1341C22—23no—
1342C22—412no—
1343C22—594no—
1344C22—1182no—
1345C22—1182no—
1346C22—1186no—
1347C22—1186no—
1348C22—1186no—
1349C22—23624no—
1350C22C2×#41×D5912yes—
1351C22C22×#1174568516yes—
1352C22C25×D5911yescharacteristic
1353C4—23no—
1354C4—23no—
1355C4—21no—
1356C4—23no—
1357C4—21no—
1358C4—23no—
1359C4—23no—
1360C4—594no—
1361C4—1186no—
1362C4—1182no—
1363C4—1186no—
1364C4—1182no—
1365C4—1186no—
1366C4C2×#41×D5912yes—
1367C4C2×#41×D5912yes—
1368C4C22×#1174568512yes—
1369C4C22×#1174568516yes—
1370C4#1683823812yes—
1371C2—22no—
1372C2—26no—
1373C2—43no—
1374C2—1184no—
1375C2—2366no—
1376C2C22×#41×D5911yescharacteristic
1377C2C23×#1174568511yescharacteristic
1378C2C2×#1683823811yescharacteristic
subgroupG/H
centerC42C23×D59
commutator, socle, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC2×C4×#41×C59C2
hypercenterC2×C4×#41D59
hypocenterC59#412
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C42 ◁ C2×C4×#41

Complements

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

NH ≅ G/Ntype
1. #21437722C2semidirect
2. #21437718C2semidirect
3. #21437713C2semidirect
4. #21437711C2semidirect
5. #21437706C2semidirect
6. #21437700C2semidirect
7. #21437694C2semidirect
8. #21437691C2semidirect
9. #21437689C2semidirect
10. Q8×#11745685C2semidirect
11. #41×Dic118C2semidirect
12. #21437660C2semidirect
13. #21437658C2semidirect
14. #21437654C2semidirect
15. #21437650C2semidirect
16. #41×D236C2semidirect
17. D4×#11745685C2semidirect
18. #41×C22⋊D59C2semidirect
19. #21437392C2semidirect
20. #21437389C2semidirect
21. C2×C4×#11745685C2semidirect
22. C4×#41×D59C2semidirect
23. C2×C4×#41×C59C2semidirect
26. #16838137C22semidirect
27. #16838135C22semidirect
28. Q8×Dic118C22semidirect
29. #16838131C22semidirect
30. #16838130C22semidirect
31. #16838128C22semidirect
32. #16838125C22semidirect
33. #16838124C22semidirect
34. #16838122C22semidirect
35. #16838120C22semidirect
36. #16838117C22semidirect
37. #16838115C22semidirect
38. #16838112C22semidirect
39. #16838111C22semidirect
40. #16838109C22semidirect
41. #16838107C22semidirect
42. #16838102C22semidirect
43. #16838101C22semidirect
44. #16838100C22semidirect
45. #16838098C22semidirect
46. #16838096C22semidirect
47. #16838093C22semidirect
48. #16838092C22semidirect
49. #16838091C22semidirect
50. #16838087C22semidirect
51. #16838085C22semidirect
52. #16838081C22semidirect
53. #16838078C22semidirect
54. #16838076C22semidirect
55. #16838074C22semidirect
56. #16838073C22semidirect
57. #16838071C22semidirect
58. Q8×D236C22semidirect
59. D4×Dic118C22semidirect
60. Q8×C22⋊D59C22semidirect
61. #16838064C22semidirect
62. #16838063C22semidirect
63. #16838061C22semidirect
64. #16838059C22semidirect
65. #16838057C22semidirect
66. #16838056C22semidirect
67. #16838053C22semidirect
68. #16838051C22semidirect
69. #16838048C22semidirect
70. #16838047C22semidirect
71. #16838046C22semidirect
72. #16838042C22semidirect
73. #16838040C22semidirect
74. D4×D236C22semidirect
75. D4×C22⋊D59C22semidirect
76. #16837959C22semidirect
77. #16837959C22semidirect
78. #16837959C22semidirect
79. #16837956C22semidirect
80. #16837956C22semidirect
81. #16837955C22semidirect
82. #16837952C22semidirect
83. #16837952C22semidirect
84. #16837952C22semidirect
85. #16837949C22semidirect
86. #16837949C22semidirect
87. #16837948C22semidirect
88. #16837939C22semidirect
89. #16837939C22semidirect
90. #16837936C22semidirect
91. #16837936C22semidirect
92. #16837936C22semidirect
93. #16837936C22semidirect
94. #16837936C22semidirect
95. #16837936C22semidirect
96. #16837934C22semidirect
97. #16837934C22semidirect
98. #16837932C22semidirect
99. #16837932C22semidirect
100. #16837930C22semidirect
101. #16837930C22semidirect
102. #16837914C22semidirect
103. #16837913C22semidirect
104. #16837913C22semidirect
105. #16837913C22semidirect
106. #16837911C22semidirect
107. #16837911C22semidirect
108. #16837909C22semidirect
110. C4×#11745689C22semidirect
111. C4×#11745689C22semidirect
114. C4×#11745685C22semidirect
115. C4×#11745685C22semidirect
116. C4×#11745685C22semidirect
117. C4×#11745685C22semidirect
118. C4×#11745685C22semidirect
119. C4×#11745685C22semidirect
120. C4×#11745685C22semidirect
121. C4×#11745685C22semidirect
122. C4×#11745685C22semidirect
123. C4×#11745685C22semidirect
124. C4×#11745685C22semidirect
125. C4×#11745685C22semidirect
126. #16837870C22semidirect
127. C4×#11745687C22semidirect
128. C4×#11745687C22semidirect
129. C2×C4×Dic118C22semidirect
130. C2×C4×Dic118C22semidirect
131. C4×Q8×D59C22semidirect
132. C4×Q8×D59C22semidirect
133. C2×C4×D236C22semidirect
134. C2×C4×D236C22semidirect
135. C2×C4×C22⋊D59C22semidirect
136. C2×C4×C22⋊D59C22semidirect
137. C4×D4×D59C22semidirect
138. C4×D4×D59C22semidirect
139. C2×#14273686C22semidirect
140. C2×#14273684C22semidirect
141. #117×D59C22semidirect
142. C2×C42×D59C22semidirect
146. C4×#41×C59C22semidirect
147. C4×#41×C59C22semidirect
148. C4×#41×C59C22semidirect
149. C4×#41×C59C22semidirect
150. C4×#41×C59C22semidirect
151. C4×#41×C59C22semidirect
152. C2×C4×Q8×C59C22semidirect
153. C2×C4×Q8×C59C22semidirect
154. C2×C4×D4×C59C22semidirect
155. C2×C4×D4×C59C22semidirect
156. C2×#117×C59C22semidirect
157. C22×C42×C59C22semidirect
406. #41×C59#41semidirect
456. #11745685#41direct (N × H)
574. Q8×C59C2×#41semidirect
577. D4×C59C2×#41semidirect
594. C2×C4×C59C2×#41semidirect
595. C2×C4×C59C2×#41semidirect
613. C22⋊D59C2×#41semidirect
627. D236C2×#41semidirect
639. C4×D59C2×#41semidirect
644. Dic118C2×#41semidirect
704. C2×C4×#41D59semidirect
821. C4×#41C2×D59semidirect
822. C4×#41C2×D59semidirect
823. C4×#41C2×D59semidirect
824. C4×#41C2×D59semidirect
825. C4×#41C2×D59semidirect
826. C4×#41C2×D59semidirect
831. C2×C4×Q8C2×D59semidirect
832. C2×C4×Q8C2×D59semidirect
839. C2×C4×D4C2×D59semidirect
840. C2×C4×D4C2×D59semidirect
844. C2×#117C2×D59semidirect
846. C22×C42C2×D59semidirect
847. C59#412semidirect
1106. #41#11745685direct (N × H)
1269. Q8C2×#11745685semidirect
1283. D4C2×#11745685semidirect
1321. C2×C4#41×D59semidirect
1322. C2×C4C2×#11745685semidirect

Maximal subgroups

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

subgroupindex
#214377222
#214377182
#214377132
#214377112
#214377062
#214377002
#214376942
#214376912
#214376892
Q8×#117456852
#41×Dic1182
#214376602
#214376582
#214376542
#214376502
#41×D2362
D4×#117456852
#41×C22⋊D592
#214373922
#214373892
C2×C4×#117456852
C4×#41×D592
C2×C4×#41×C592
#41259