Finite Group Databasebeta

← D59×#3482 #29495777

Subgroups — D59×#3482 #29495777

Order 15104.

7706 conjugacy classes of subgroups.

The subgroup lattice has 1372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437718C211yesmaximal, characteristic, complemented
2#21437717C211yesmaximal, characteristic, complemented
3#21437716C211yesmaximal, characteristic, complemented
4#21437715C213yesmaximal, complemented
5#21437714C213yesmaximal, complemented
6#21437713C212yesmaximal, complemented
7#21437712C212yesmaximal, complemented
8#21437711C213yesmaximal, complemented
9#21437710C216yesmaximal, complemented
10#21437709C216yesmaximal, complemented
11#21437708C213yesmaximal, complemented
12#557×D59C211yesmaximal, characteristic, complemented
13#556×D59C213yesmaximal, complemented
14#552×D59C216yesmaximal, complemented
15D4×Q8×D59C211yesmaximal, characteristic, complemented
16#548×D59C212yesmaximal, complemented
17#547×D59C213yesmaximal, complemented
18#533×D59C213yesmaximal, complemented
19#529×D59C216yesmaximal, complemented
20C4×#41×D59C213yesmaximal, complemented
21C4×#41×D59C211yesmaximal, characteristic, complemented
22C2×C4×Q8×D59C212yesmaximal, complemented
23C59×#3482C211yesmaximal, characteristic, complemented
24C2×#41×D59C2213yes—
25C2×#41×D59C2211yescharacteristic
26C22×Q8×D59C2212yes—
27#16838131C2211yescharacteristic, complemented
28#16838130C2213yescomplemented
29#16838129C2216yescomplemented
30#16838128C2212yescomplemented
31#16838127C2213yescomplemented
32#16838126C2213yescomplemented
33#16838125C2213yescomplemented
34#16838124C2216yescomplemented
35#16838123C2216yescomplemented
36#16838122C2213yescomplemented
37#16838121C2216yescomplemented
38#16838120C2216yescomplemented
39#16838119C22112yescomplemented
40#16838094C2216yescomplemented
41#16838093C2216yescomplemented
42#16838092C2216yescomplemented
43#16838091C2216yescomplemented
44#16838090C2216yescomplemented
45#16838089C22112yescomplemented
46#16838088C22112yescomplemented
47#16838087C2216yescomplemented
48#16838086C2216yescomplemented
49#16838085C22112yescomplemented
50#16838084C22112yescomplemented
51Q8×D236C2211yescharacteristic, complemented
52D4×Dic118C2213yescomplemented
53#16838067C2213yescomplemented
54Q8×C22⋊D59C2212yescomplemented
55#16838065C2216yescomplemented
56#16838064C2212yescomplemented
57#16838063C2212yescomplemented
58#16838062C2216yescomplemented
59#16838061C2216yescomplemented
60#16838060C2216yescomplemented
61#16838059C2212yescomplemented
62#16838058C2216yescomplemented
63#16838057C2213yescomplemented
64#16838056C2213yescomplemented
65#16838055C2213yescomplemented
66#16838054C2216yescomplemented
67#16838053C2216yescomplemented
68#16838052C2216yescomplemented
69#16838051C2216yescomplemented
70#16838050C22112yescomplemented
71#16837959C2213yescomplemented
72#16837958C2216yescomplemented
73#16837957C2213yescomplemented
74#16837957C2213yescomplemented
75#16837956C2216yescomplemented
76#16837956C2216yescomplemented
77#16837955C2216yescomplemented
78#16837954C2216yescomplemented
79#16837954C2216yescomplemented
80C4⋊Q8×D59C2213yes—
81C4⋊Q8×D59C2213yes—
82#16837939C2216yescomplemented
83#16837938C2216yescomplemented
84#16837937C2216yescomplemented
85#16837936C2216yescomplemented
86#16837935C22112yescomplemented
87#16837934C2216yescomplemented
88#16837933C2216yescomplemented
89#16837932C22112yescomplemented
90#16837931C2216yescomplemented
91#16837930C22112yescomplemented
92#16837929C22112yescomplemented
93#126×D59C22112yes—
94#125×D59C2216yes—
95#125×D59C2216yes—
96#124×D59C2216yes—
97#123×D59C22112yes—
98C22⋊Q8×D59C2216yes—
99C22⋊Q8×D59C2216yes—
100C22⋊Q8×D59C2216yes—
101#121×D59C2216yes—
102#41×Dic59C2213yescomplemented
103#41×Dic59C2211yescharacteristic, complemented
104C4×#11745689C2211yescharacteristic, complemented
105C4×#11745689C2213yescomplemented
106C4×#11745689C2213yescomplemented
107C4×#11745689C2211yescharacteristic, complemented
108C4×#11745685C2216yescomplemented
109C4×#11745685C2213yescomplemented
110C4×#11745685C2213yescomplemented
111#16837870C2216yescomplemented
112#16837870C2213yescomplemented
113#16837870C2213yescomplemented
114C4×#11745687C2213yescomplemented
115C4×#11745687C2213yescomplemented
116C4×#11745687C2216yescomplemented
117C4×#11745687C2213yescomplemented
118C4×#11745687C2216yescomplemented
119C4×#11745687C2213yescomplemented
120C2×Q8×Dic59C2212yescomplemented
121C2×C4×Dic118C2216yescomplemented
122C2×#14273692C2216yescomplemented
123C4×Q8×D59C2211yescharacteristic
124C4×Q8×D59C2212yes—
125C4×Q8×D59C2216yes—
126C4×Q8×D59C2216yes—
127C4×Q8×D59C2211yescharacteristic
128C4×Q8×D59C2213yes—
129C4×Q8×D59C2213yes—
130C4×Q8×D59C2216yescomplemented
131C4×Q8×D59C2216yescomplemented
132C4×Q8×D59C2212yescomplemented
133C4×Q8×D59C2212yescomplemented
134C4×D4×D59C2211yescharacteristic
135C4×D4×D59C2213yes—
136C4×D4×D59C2213yes—
137C4×D4×D59C2216yes—
138C4×D4×D59C2216yes—
139C4×D4×D59C2213yes—
140#117×D59C2216yes—
141#117×D59C2213yes—
142#117×D59C2213yes—
143#117×D59C2216yes—
144C2×C4⋊C4×D59C2216yes—
145C2×C42×D59C2216yes—
146C2×C42×D59C2213yes—
147C59×#557C2211yescharacteristic, complemented
148C59×#556C2213yescomplemented
149C59×#552C2216yescomplemented
150D4×Q8×C59C2211yescharacteristic, complemented
151C59×#548C2212yescomplemented
152C59×#547C2213yescomplemented
153C59×#533C2213yescomplemented
154C59×#529C2216yescomplemented
155C4×#41×C59C2213yescomplemented
156C4×#41×C59C2211yescharacteristic, complemented
157C2×C4×Q8×C59C2212yescomplemented
158C2×#11745689C2313yes—
159C2×#11745689C2311yescharacteristic
160C2×#11745685C2316yes—
161C2×#11745685C2313yes—
162C2×#11745685C2313yes—
163C2×#11745687C2316yes—
164C2×#11745687C2313yes—
165C2×#11745687C2313yes—
166#41×D59—28no—
167#41×D59—224no—
168C22×Dic118C2316yes—
169C2×Q8×D59—216no—
170C2×Q8×D59C2316yes—
171C2×Q8×D59C2313yes—
172C2×Q8×D59C2312yes—
173C2×Q8×D59C2316yes—
174C2×Q8×D59C2311yescharacteristic
175C2×D4×D59C2316yes—
176C2×D4×D59C2313yes—
177C2×D4×D59C2311yescharacteristic
178C22×C4×D59C2316yes—
179C22×C4×D59C2313yes—
180C22×C4×D59C2313yes—
181C22×C4×D59C2316yes—
182C22×C4×D59C2312yes—
183C22×C4×D59C2313yes—
184#14273727C2313yes—
185#14273727C2313yes—
186#14273726C2316yes—
187#14273726C2316yes—
188#14273726C2316yes—
189#14273726C2316yes—
190#14273725C2316yes—
191#14273725C2316yes—
192#14273722C23112yes—
193#14273722C23112yes—
194#14273722C23112yes—
195#14273721C23112yes—
196#14273720C23112yes—
197#14273720C23112yes—
198#14273720C23112yes—
199#14273719C2316yes—
200#14273719C2316yes—
201#14273718C2316yes—
202#14273718C2316yes—
203#14273718C2316yes—
204#14273718C2316yes—
205#14273717C23112yes—
206#14273717C23112yes—
207#14273717C23112yes—
208#14273717C23112yes—
209#14273716C2316yes—
210#14273715C2316yes—
211#14273714C2316yes—
212#14273713C23112yes—
213#14273713C23112yes—
214#14273712C23112yes—
215#14273712C23112yes—
216#14273711C23112yes—
217#14273710C23112yes—
218#14273709C23112yes—
219#14273709C23112yes—
220#14273708C23112yes—
221#14273707C2316yes—
222#14273707C2316yes—
223#14273707C2316yes—
224#14273706C2316yes—
225#14273706C2316yes—
226#14273706C2316yes—
227#14273705C23112yes—
228#14273705C23112yes—
229#14273705C23112yes—
230#14273704C23112yes—
231#14273704C23112yes—
232#14273704C23112yes—
233#14273703C2316yes—
234#14273703C2316yes—
235#14273703C2316yes—
236#14273702C2316yes—
237#14273701C2316yes—
238#14273700C23112yes—
239#14273699C23112yes—
240#14273698C2316yes—
241Q8×Dic59C2316yes—
242Q8×Dic59C2313yes—
243Q8×Dic59C2312yes—
244Q8×Dic59C2311yescharacteristic
245Q8×Dic59C2316yes—
246Q8×Dic59C2311yescharacteristic
247Q8×Dic59C2313yes—
248C4×Dic118C23112yes—
249C4×Dic118C2316yes—
250C4×Dic118C2316yes—
251C4×Dic118C2313yes—
252C4×Dic118C2316yes—
253C4×Dic118C2313yes—
254C4×Dic118C23112yes—
255C4×Dic118C2316yes—
256C4×Dic118C2313yes—
257C4×Dic118C2316yes—
258C4×Dic118C2313yes—
259#14273692C23112yes—
260#14273692C2316yes—
261#14273692C2313yes—
262#14273692C2316yes—
263#14273692C2316yes—
264#14273692C2313yes—
265#14273692C23112yes—
266#14273692C2316yes—
267#14273692C2316yes—
268#14273692C2313yes—
269#14273692C2313yes—
270C4×D236C2316yes—
271C4×D236C2313yes—
272C4×D236C2313yes—
273C4×D236C2313yes—
274C4×D236C2316yes—
275C4×D236C2311yescharacteristic
276D4×Dic59C2316yes—
277D4×Dic59C2313yes—
278D4×Dic59C2313yes—
279D4×Dic59C2313yes—
280D4×Dic59C2316yes—
281D4×Dic59C2311yescharacteristic
282#14273689C2316yes—
283#14273689C2313yes—
284#14273689C2313yes—
285#14273689C2313yes—
286#14273689C2316yes—
287#14273689C2311yescharacteristic
288C4×C22⋊D59C2316yes—
289C4×C22⋊D59C2316yes—
290C4×C22⋊D59C2316yes—
291C4×C22⋊D59C2316yes—
292C4×C22⋊D59C2316yes—
293C4×C22⋊D59C2316yes—
294C4×C22⋊D59C2316yes—
295C4×C22⋊D59C2312yes—
296(C22⋊D59)⋊C4C2316yes—
297(C22⋊D59)⋊C4C2316yes—
298(C22⋊D59)⋊C4C2316yes—
299(C22⋊D59)⋊C4C2316yes—
300(C22⋊D59)⋊C4C2316yes—
301(C22⋊D59)⋊C4C2316yes—
302(C22⋊D59)⋊C4C2316yes—
303(C22⋊D59)⋊C4C2312yes—
304#14273686C2316yes—
305#14273686C2313yes—
306#14273686C2316yes—
307#14273686C2313yes—
308#14273685C2316yes—
309#14273685C2316yes—
310#14273685C2316yes—
311#14273685C2313yes—
312#14273685C2316yes—
313#14273685C2313yes—
314#14273685C2313yes—
315#14273685C2313yes—
316#14273684C23112yes—
317#14273684C2316yes—
318#14273684C2316yes—
319#14273684C2316yes—
320#14273684C2316yes—
321#14273683C23112yes—
322#14273683C2316yes—
323#14273683C2316yes—
324#14273683C2316yes—
325#14273683C2316yes—
326C2×C4⋊Dic59C2316yes—
327C2×Dic59⋊C4C23112yes—
328C4⋊C4×D59C2316yes—
329C4⋊C4×D59C2316yes—
330C4⋊C4×D59C2313yes—
331C4⋊C4×D59C2316yes—
332C4⋊C4×D59C2313yes—
333C4⋊C4×D59C23112yes—
334C4⋊C4×D59C2316yes—
335C4⋊C4×D59C2316yes—
336C4⋊C4×D59C23112yes—
337C4⋊C4×D59C2316yes—
338C4⋊C4×D59C2316yes—
339C4⋊C4×D59C2313yes—
340C4⋊C4×D59C2311yescharacteristic
341C22⋊C4×D59C23112yes—
342C22⋊C4×D59C2316yes—
343C22⋊C4×D59C2316yes—
344C22⋊C4×D59C2316yes—
345C22⋊C4×D59C2312yes—
346C2×C4×Dic59C2316yes—
347C2×C4×Dic59C2316yes—
348C2×C4×Dic59C2316yes—
349C2×C4×Dic59C2313yes—
350C2×C4×Dic59C2313yes—
351C2×C4×Dic59C2313yes—
352C42×D59C2316yes—
353C42×D59C2313yes—
354C42×D59C2316yes—
355C42×D59C2316yes—
356C42×D59C2316yes—
357C42×D59C2316yes—
358C42×D59C2316yes—
359C42×D59C2313yes—
360C42×D59C2313yes—
361C42×D59C2313yes—
362C42×D59C2313yes—
363C42×D59C2313yes—
364C42×D59C2313yes—
365C42×D59C2311yescharacteristic
366C42×D59C2316yes—
367C2×#41×C59C2313yes—
368C2×#41×C59C2311yescharacteristic
369C22×Q8×C59C2312yes—
370C4⋊Q8×C59C2313yes—
371C4⋊Q8×C59C2313yes—
372#126×C59C23112yes—
373#125×C59C2316yes—
374#125×C59C2316yes—
375#124×C59C2316yes—
376#123×C59C23112yes—
377C22⋊Q8×C59C2316yes—
378C22⋊Q8×C59C2316yes—
379C22⋊Q8×C59C2316yes—
380#121×C59C2316yes—
381C4×Q8×C59C2316yes—
382C4×Q8×C59C2313yes—
383C4×Q8×C59C2312yes—
384C4×Q8×C59C2311yescharacteristic
385C4×Q8×C59C2311yescharacteristic
386C4×Q8×C59C2316yes—
387C4×Q8×C59C2313yes—
388C4×D4×C59C2316yes—
389C4×D4×C59C2313yes—
390C4×D4×C59C2313yes—
391C4×D4×C59C2313yes—
392C4×D4×C59C2316yes—
393C4×D4×C59C2311yescharacteristic
394#117×C59C2316yes—
395#117×C59C2316yes—
396#117×C59C2313yes—
397#117×C59C2313yes—
398C2×C4⋊C4×C59C2316yes—
399C2×C42×C59C2316yes—
400C2×C42×C59C2313yes—
401C23×D59C2413yes—
402C23×D59C2412yes—
403#41×C59—24no—
404#41×C59—212no—
405C2×Q8×C59—28no—
406C2×Q8×C59C2416yes—
407C2×Q8×C59C2413yes—
408C2×Q8×C59C2411yescharacteristic
409C2×D4×C59C2416yes—
410C2×D4×C59C2413yes—
411C2×D4×C59C2411yescharacteristic
412C22×C4×C59C2412yes—
413C22×C4×C59C2416yes—
414C22×C4×C59C2416yes—
415C22×C4×C59C2413yes—
416C22×C4×C59C2413yes—
417C22×C4×C59C2413yes—
418C2×C22⋊D59C2416yes—
419C2×C22⋊D59C2416yes—
420C2×C22⋊D59C2416yes—
421C2×C22⋊D59C2412yes—
422C22×Dic59C2412yes—
423C22×Dic59C2416yes—
424C22×Dic59C2416yes—
425C22×Dic59C2413yes—
426C22×Dic59C2413yes—
427C22×Dic59C2413yes—
428#11745689—24no—
429#11745689—212no—
430Q8×D59—28no—
431Q8×D59—224no—
432Q8×D59—212no—
433Q8×D59—224no—
434Q8×D59#4118yescomplemented
435#11745687—212no—
436#11745687—224no—
437#11745687—212no—
438D4×D59—224no—
439D4×D59—212no—
440D4×D59#4118yescomplemented
441#11745685—224no—
442#11745685—212no—
443#11745685—212no—
444C2×D236C2416yes—
445C2×D236C2413yes—
446C2×D236C2411yescharacteristic
447C2×C4×D59—224no—
448C2×C4×D59—224no—
449C2×C4×D59—212no—
450C2×C4×D59—212no—
451C2×C4×D59—28no—
452C2×C4×D59—212no—
453C2×C4×D59C2412yes—
454C2×C4×D59C2412yes—
455C2×C4×D59C2412yes—
456C2×C4×D59C2411yescharacteristic
457C2×C4×D59C2413yes—
458C2×C4×D59C2413yes—
459C2×C4×D59C2416yes—
460C2×C4×D59C2416yes—
461C2×C4×D59C2416yes—
462C2×C4×D59C2416yes—
463C2×C4×D59C2416yes—
464C2×C4×D59C2416yes—
465C2×C4×D59C2413yes—
466C2×C4×D59C2413yes—
467C2×C4×D59C2413yes—
468C2×C4×D59C2413yes—
469C2×C4×D59C2413yes—
470C2×C4×D59C2413yes—
471C2×C4×D59C2413yes—
472C2×C4×D59C2411yescharacteristic
473C2×C4×D59C2411yescharacteristic
474C2×Dic118—224no—
475C2×Dic118C24112yes—
476C2×Dic118C2416yes—
477C2×Dic118C2416yes—
478C2×Dic118C2413yes—
479C2×Dic118C2413yes—
480C4⋊C4×C59C2413yes—
481C4⋊C4×C59C2416yes—
482C4⋊C4×C59C24112yes—
483C4⋊C4×C59C2411yescharacteristic
484C4⋊C4×C59C2416yes—
485C4⋊C4×C59C2413yes—
486C4⋊C4×C59C2413yes—
487C4⋊C4×C59C2416yes—
488C4⋊C4×C59C2416yes—
489C4⋊C4×C59C2416yes—
490C22⋊C4×C59C2412yes—
491C22⋊C4×C59C2416yes—
492C22⋊C4×C59C2416yes—
493C22⋊C4×C59C2416yes—
494C22⋊C4×C59C24112yes—
495C42×C59C2413yes—
496C42×C59C2411yescharacteristic
497C42×C59C2413yes—
498C42×C59C2416yes—
499C42×C59C2416yes—
500C42×C59C2413yes—
501C42×C59C2416yes—
502C22⋊Dic59C2412yes—
503C22⋊Dic59C2416yes—
504C22⋊Dic59C2416yes—
505C22⋊Dic59C2416yes—
506C22⋊Dic59C24112yes—
507(C2×D59)⋊C4C2412yes—
508(C2×D59)⋊C4C2412yes—
509(C2×D59)⋊C4C2416yes—
510(C2×D59)⋊C4C2416yes—
511(C2×D59)⋊C4C2416yes—
512(C2×D59)⋊C4C2416yes—
513(C2×D59)⋊C4C2416yes—
514(C2×D59)⋊C4C2416yes—
515(C2×D59)⋊C4C24112yes—
516(C2×D59)⋊C4C24112yes—
517C4⋊Dic59C2413yes—
518C4⋊Dic59C2416yes—
519C4⋊Dic59C24112yes—
520C4⋊Dic59C2411yescharacteristic
521C4⋊Dic59C2413yes—
522C4⋊Dic59C2413yes—
523C4⋊Dic59C2416yes—
524C4⋊Dic59C2416yes—
525C4⋊Dic59C2416yes—
526C4⋊Dic59C2416yes—
527Dic59⋊C4C2416yes—
528Dic59⋊C4C24112yes—
529Dic59⋊C4C24112yes—
530Dic59⋊C4C24112yes—
531Dic59⋊C4C2412yes—
532Dic59⋊C4C2416yes—
533Dic59⋊C4C2416yes—
534Dic59⋊C4C2416yes—
535Dic59⋊C4C2416yes—
536Dic59⋊C4C2416yes—
537Dic59⋊C4C2416yes—
538Dic59⋊C4C24112yes—
539Dic59⋊C4C24112yes—
540C4×Dic59C2413yes—
541C4×Dic59C2411yescharacteristic
542C4×Dic59C2413yes—
543C4×Dic59C2411yescharacteristic
544C4×Dic59C2413yes—
545C4×Dic59C2411yescharacteristic
546C4×Dic59C2413yes—
547C4×Dic59C2413yes—
548C4×Dic59C2413yes—
549C4×Dic59C2416yes—
550C4×Dic59C2416yes—
551C4×Dic59C2416yes—
552C4×Dic59C2416yes—
553C4×Dic59C2416yes—
554C4×Dic59C2416yes—
555C4×Dic59C2413yes—
556C4×Dic59C2416yes—
557C4×Dic59C2413yes—
558C4×Dic59C2413yes—
559C4×Dic59C2416yes—
560C4×Dic59C2416yes—
561C23×C59C2513yes—
562C23×C59C2512yes—
563C22×D59—24no—
564C22×D59—24no—
565C22×D59—26no—
566C22×D59—26no—
567C22×D59—26no—
568C22×D59C2×#4118yes—
569C22×D59C2513yes—
570C22×D59C2512yes—
571C22×D59C2511yescharacteristic
572Q8×C59—212no—
573Q8×C59—26no—
574Q8×C59C2×#4114yescomplemented
575D4×C59—212no—
576D4×C59—26no—
577D4×C59C2×#4114yescomplemented
578C2×C4×C59—212no—
579C2×C4×C59—212no—
580C2×C4×C59—26no—
581C2×C4×C59—26no—
582C2×C4×C59—24no—
583C2×C4×C59—26no—
584C2×C4×C59C2512yes—
585C2×C4×C59C2511yescharacteristic
586C2×C4×C59C2513yes—
587C2×C4×C59C2516yes—
588C2×C4×C59C2513yes—
589C2×C4×C59C2516yes—
590C2×C4×C59C2511yescharacteristic
591C2×C4×C59C2513yes—
592C2×C4×C59C2511yescharacteristic
593C22⋊D59—212no—
594C22⋊D59—212no—
595C22⋊D59—212no—
596C22⋊D59C2×#4118yescomplemented
597C2×Dic59—212no—
598C2×Dic59—212no—
599C2×Dic59—26no—
600C2×Dic59—26no—
601C2×Dic59—24no—
602C2×Dic59—26no—
603C2×Dic59C2512yes—
604C2×Dic59C2511yescharacteristic
605C2×Dic59C2513yes—
606C2×Dic59C2513yes—
607C2×Dic59C2516yes—
608C2×Dic59C2516yes—
609C2×Dic59C2511yescharacteristic
610C2×Dic59C2513yes—
611C2×Dic59C2511yescharacteristic
612D236—212no—
613D236—26no—
614D236C2×#4114yescomplemented
615C4×D59—26no—
616C4×D59—22no—
617C4×D59—212no—
618C4×D59—212no—
619C4×D59—212no—
620C4×D59—212no—
621C4×D59—24no—
622C4×D59—26no—
623C4×D59—26no—
624C4×D59—26no—
625C4×D59—212no—
626C4×D59—24no—
627C4×D59—26no—
628C4×D59—26no—
629C4×D59—26no—
630C4×D59—212no—
631C4×D59—24no—
632C4×D59—26no—
633C4×D59C2×#41112yes—
634C4×D59C2×#4114yes—
635C4×D592−1+414yes—
636Dic118—212no—
637Dic118—26no—
638Dic118—224no—
639Dic118—212no—
640Dic118C2×#41112yescomplemented
641C2×#3482—591nomaximal, Sylow
642C22×C59—22no—
643C22×C59—22no—
644C22×C59—23no—
645C22×C59—23no—
646C22×C59—23no—
647C22×C59C22×#4114yes—
648C22×C59C2611yescharacteristic
649C2×D59—22no—
650C2×D59—22no—
651C2×D59—216no—
652C2×D59—23no—
653C2×D59—23no—
654C2×D59—23no—
655C2×D59—412no—
656C2×D59C22×#4114yes—
657C2×D59C22×#4112yes—
658C2×D59C22×#4112yes—
659C2×D59C2×2−1+412yes—
660C4×C59—26no—
661C4×C59—26no—
662C4×C59—23no—
663C4×C59—21no—
664C4×C59—22no—
665C4×C59—23no—
666C4×C59C22×#4112yes—
667C4×C59C22×#4116yes—
668C4×C59C2×2−1+412yes—
669Dic59—26no—
670Dic59—26no—
671Dic59—23no—
672Dic59—21no—
673Dic59—22no—
674Dic59—23no—
675Dic59C22×#4112yes—
676Dic59C22×#4116yes—
677Dic59C2×2−1+412yes—
678#3482—591no—
679#3482—593no—
680#3482—596no—
681#3482—591no—
682#3482—592no—
683#3482—593no—
684#3482—593no—
685#3482—596no—
686#3482—593no—
687#3482—591no—
688#3482—592no—
689#3482D5911yescharacteristic, direct product factor
690C2×#557—591no—
691C2×#556—593no—
692C2×#552—596no—
693C2×D4×Q8—591no—
694C2×#548—592no—
695C2×#547—593no—
696C2×#533—593no—
697C2×#529—596no—
698C2×C4×#41—591no—
699C2×C4×#41—593no—
700C22×C4×Q8—592no—
701C2×C59—24no—
702C2×C59—43no—
703C2×C59C23×#4111yescharacteristic
704C2×C59C23×#4111yescharacteristic
705C2×C59C22×2−1+411yescharacteristic
706D59—24no—
707D59—43no—
708D59#348214yesdirect product factor
709C22×#41—593no—
710C22×#41—591no—
711C23×Q8—592no—
712#557—593no—
713#557—596no—
714#557—592no—
715#557—593no—
716#557—591no—
717#557C2×D5911yescharacteristic, complemented
718#556—593no—
719#556—5912no—
720#556—596no—
721#556—596no—
722#556—596no—
723#556—593no—
724#556—593no—
725#556—596no—
726#556C2×D5913yescomplemented
727#552—5912no—
728#552—5912no—
729#552—596no—
730#552—5912no—
731#552—596no—
732#552—596no—
733#552—596no—
734#552—596no—
735#552—5912no—
736#552—596no—
737#552—596no—
738#552C2×D5916yescomplemented
739D4×Q8—592no—
740D4×Q8—593no—
741D4×Q8—596no—
742D4×Q8—591no—
743D4×Q8—593no—
744D4×Q8C2×D5911yescharacteristic, complemented
745#548—592no—
746#548—592no—
747#548—596no—
748#548—596no—
749#548—596no—
750#548—592no—
751#548—596no—
752#548C2×D5912yescomplemented
753#547—596no—
754#547—593no—
755#547—5912no—
756#547—596no—
757#547—596no—
758#547—593no—
759#547—593no—
760#547—596no—
761#547C2×D5913yescomplemented
762#533—593no—
763#533—593no—
764#533—596no—
765#533—596no—
766#533—596no—
767#533—596no—
768#533—596no—
769#533—596no—
770#533—593no—
771#533C2×D5913yescomplemented
772C2×C4⋊Q8—593no—
773C2×C4⋊Q8—593no—
774#529—5912no—
775#529—596no—
776#529—596no—
777#529—5912no—
778#529—596no—
779#529—596no—
780#529—596no—
781#529—5912no—
782#529—596no—
783#529—5912no—
784#529—596no—
785#529C2×D5916yescomplemented
786C2×#126—5912no—
787C2×#125—596no—
788C2×#125—596no—
789C2×#124—596no—
790C2×#123—5912no—
791C2×C22⋊Q8—596no—
792C2×C22⋊Q8—596no—
793C2×C22⋊Q8—596no—
794C2×#121—596no—
795C4×#41—593no—
796C4×#41—591no—
797C4×#41—593no—
798C4×#41—593no—
799C4×#41—591no—
800C4×#41—591no—
801C4×#41—593no—
802C4×#41—593no—
803C4×#41—596no—
804C4×#41—596no—
805C4×#41—593no—
806C4×#41—593no—
807C4×#41—596no—
808C4×#41—593no—
809C4×#41—593no—
810C4×#41—593no—
811C4×#41—596no—
812C4×#41—593no—
813C4×#41C2×D5913yescomplemented
814C4×#41C2×D5911yescharacteristic, complemented
815C2×C4×Q8—592no—
816C2×C4×Q8—591no—
817C2×C4×Q8—596no—
818C2×C4×Q8—592no—
819C2×C4×Q8—596no—
820C2×C4×Q8—592no—
821C2×C4×Q8—596no—
822C2×C4×Q8—592no—
823C2×C4×Q8—596no—
824C2×C4×Q8—593no—
825C2×C4×Q8—591no—
826C2×C4×Q8—593no—
827C2×C4×Q8—596no—
828C2×C4×Q8—596no—
829C2×C4×Q8C2×D5912yescomplemented
830C2×C4×D4—591no—
831C2×C4×D4—596no—
832C2×C4×D4—593no—
833C2×C4×D4—593no—
834C2×C4×D4—593no—
835C2×C4×D4—596no—
836C2×#117—593no—
837C2×#117—596no—
838C2×#117—593no—
839C2×#117—596no—
840C22×C4⋊C4—596no—
841C22×C42—596no—
842C22×C42—593no—
843C59C2×#348211yescharacteristic, complemented, Sylow
844C2×#41—593no—
845C2×#41—591no—
846C2×#41—593no—
847C2×#41—596no—
848C2×#41—593no—
849C2×#41—593no—
850C2×#41—596no—
851C2×#41—593no—
852C2×#41—11824no—
853C2×#41—1188no—
854C2×#41C22×D5913yes—
855C2×#41C22×D5911yescharacteristic
856C22×Q8—591no—
857C22×Q8—596no—
858C22×Q8—593no—
859C22×Q8—596no—
860C22×Q8—592no—
861C22×Q8—596no—
862C22×Q8—11816no—
863C22×Q8C22×D5912yes—
864C22×D4—591no—
865C22×D4—596no—
866C22×D4—593no—
867C23×C4—596no—
868C23×C4—596no—
869C23×C4—593no—
870C23×C4—593no—
871C23×C4—593no—
872C23×C4—592no—
873C4⋊Q8—596no—
874C4⋊Q8—596no—
875C4⋊Q8—596no—
876C4⋊Q8—596no—
877C4⋊Q8—596no—
878C4⋊Q8—596no—
879C4⋊Q8—593no—
880C4⋊Q8—593no—
881C4⋊Q8C22×D5913yes—
882C4⋊Q8C22×D5913yes—
883#126—5912no—
884#126—5912no—
885#126—5912no—
886#126—5912no—
887#126—5912no—
888#126—5912no—
889#126—5912no—
890#126C22×D59112yes—
891#125—5912no—
892#125—5912no—
893#125—596no—
894#125—596no—
895#125—5912no—
896#125—5912no—
897#125—596no—
898#125—596no—
899#125—596no—
900#125—596no—
901#125C22×D5916yes—
902#125C22×D5916yes—
903#124—596no—
904#124—596no—
905#124—5912no—
906#124—5912no—
907#124—596no—
908#124C22×D5916yes—
909#123—5912no—
910#123—5912no—
911#123—5912no—
912#123—5912no—
913#123—5912no—
914#123—5912no—
915#123—5912no—
916#123C22×D59112yes—
917C22⋊Q8—596no—
918C22⋊Q8—596no—
919C22⋊Q8—596no—
920C22⋊Q8—596no—
921C22⋊Q8—596no—
922C22⋊Q8—596no—
923C22⋊Q8—5912no—
924C22⋊Q8—596no—
925C22⋊Q8—5912no—
926C22⋊Q8—596no—
927C22⋊Q8—5912no—
928C22⋊Q8—596no—
929C22⋊Q8—5912no—
930C22⋊Q8—5912no—
931C22⋊Q8—5912no—
932C22⋊Q8C22×D5916yes—
933C22⋊Q8C22×D5916yes—
934C22⋊Q8C22×D5916yes—
935#121—596no—
936#121—5912no—
937#121—596no—
938#121—596no—
939#121—5912no—
940#121C22×D5916yes—
941C4×Q8—591no—
942C4×Q8—596no—
943C4×Q8—592no—
944C4×Q8—596no—
945C4×Q8—593no—
946C4×Q8—591no—
947C4×Q8—593no—
948C4×Q8—593no—
949C4×Q8—5912no—
950C4×Q8—596no—
951C4×Q8—596no—
952C4×Q8—5912no—
953C4×Q8—596no—
954C4×Q8—593no—
955C4×Q8—596no—
956C4×Q8—593no—
957C4×Q8—596no—
958C4×Q8—593no—
959C4×Q8—593no—
960C4×Q8—5912no—
961C4×Q8—596no—
962C4×Q8—596no—
963C4×Q8—596no—
964C4×Q8—5912no—
965C4×Q8—596no—
966C4×Q8—593no—
967C4×Q8—593no—
968C4×Q8—596no—
969C4×Q8—593no—
970C4×Q8C22×D5911yescharacteristic
971C4×Q8C22×D5916yes—
972C4×Q8C22×D5912yes—
973C4×Q8C22×D5916yes—
974C4×Q8C22×D5913yes—
975C4×Q8C22×D5911yescharacteristic
976C4×Q8C22×D5913yes—
977C4×D4—591no—
978C4×D4—593no—
979C4×D4—596no—
980C4×D4—593no—
981C4×D4—593no—
982C4×D4—596no—
983C4×D4—592no—
984C4×D4—596no—
985C4×D4—596no—
986C4×D4—596no—
987C4×D4—596no—
988C4×D4—596no—
989C4×D4—596no—
990C4×D4—596no—
991C4×D4—591no—
992C4×D4—593no—
993C4×D4—596no—
994C4×D4—593no—
995C4×D4—593no—
996C4×D4—596no—
997C4×D4—592no—
998C4×D4—596no—
999C4×D4—596no—
1000C4×D4—596no—
1001C4×D4—596no—
1002C4×D4—596no—
1003C4×D4—596no—
1004C4×D4—596no—
1005C4×D4—591no—
1006C4×D4—593no—
1007C4×D4—596no—
1008C4×D4—593no—
1009C4×D4—593no—
1010C4×D4—596no—
1011C4×D4C22×D5911yescharacteristic
1012C4×D4C22×D5913yes—
1013C4×D4C22×D5916yes—
1014C4×D4C22×D5913yes—
1015C4×D4C22×D5913yes—
1016C4×D4C22×D5916yes—
1017#117—593no—
1018#117—596no—
1019#117—593no—
1020#117—596no—
1021#117—593no—
1022#117—593no—
1023#117—596no—
1024#117—596no—
1025#117—593no—
1026#117—593no—
1027#117—596no—
1028#117—596no—
1029#117—596no—
1030#117—596no—
1031#117—596no—
1032#117—596no—
1033#117—5912no—
1034#117—596no—
1035#117—596no—
1036#117—596no—
1037#117—596no—
1038#117—5912no—
1039#117C22×D5913yes—
1040#117C22×D5916yes—
1041#117C22×D5913yes—
1042#117C22×D5916yes—
1043C2×C4⋊C4—5912no—
1044C2×C4⋊C4—596no—
1045C2×C4⋊C4—593no—
1046C2×C4⋊C4—596no—
1047C2×C4⋊C4—5912no—
1048C2×C4⋊C4—5912no—
1049C2×C4⋊C4—596no—
1050C2×C4⋊C4—596no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—593no—
1053C2×C4⋊C4—596no—
1054C2×C4⋊C4—593no—
1055C2×C4⋊C4—596no—
1056C2×C4⋊C4—596no—
1057C2×C4⋊C4—596no—
1058C2×C4⋊C4C22×D5916yes—
1059C2×C22⋊C4—592no—
1060C2×C22⋊C4—596no—
1061C2×C22⋊C4—596no—
1062C2×C22⋊C4—596no—
1063C2×C22⋊C4—5912no—
1064C2×C42—596no—
1065C2×C42—596no—
1066C2×C42—596no—
1067C2×C42—593no—
1068C2×C42—593no—
1069C2×C42—593no—
1070C2×C42—593no—
1071C2×C42—596no—
1072C2×C42—596no—
1073C2×C42—593no—
1074C2×C42—596no—
1075C2×C42—591no—
1076C2×C42—593no—
1077C2×C42—596no—
1078C2×C42—596no—
1079C2×C42—596no—
1080C2×C42—596no—
1081C2×C42—593no—
1082C2×C42—593no—
1083C2×C42—593no—
1084C2×C42—593no—
1085C2×C42C22×D5916yes—
1086C2×C42C22×D5913yes—
1087C24—592no—
1088C24—593no—
1089#41—24no—
1090#41—212no—
1091#41—11824no—
1092#41—11812no—
1093#41—11812no—
1094#41—11824no—
1095#41—11812no—
1096#41—11812no—
1097#41—1184no—
1098#41—11812no—
1099C2×Q8—28no—
1100C2×Q8—598no—
1101C2×Q8—593no—
1102C2×Q8—5912no—
1103C2×Q8—596no—
1104C2×Q8—596no—
1105C2×Q8—593no—
1106C2×Q8—11824no—
1107C2×Q8—11824no—
1108C2×Q8—11812no—
1109C2×Q8—11824no—
1110C2×Q8—1188no—
1111C2×Q8C23×D5916yes—
1112C2×Q8C23×D5913yes—
1113C2×Q8C23×D5911yescharacteristic
1114C2×D4—592no—
1115C2×D4—598no—
1116C2×D4—596no—
1117C2×D4—596no—
1118C2×D4—596no—
1119C2×D4—591no—
1120C2×D4—596no—
1121C2×D4—593no—
1122C2×D4—11812no—
1123C2×D4—11824no—
1124C2×D4C23×D5916yes—
1125C2×D4C23×D5913yes—
1126C2×D4C23×D5911yescharacteristic
1127C22×C4—591no—
1128C22×C4—593no—
1129C22×C4—591no—
1130C22×C4—592no—
1131C22×C4—596no—
1132C22×C4—596no—
1133C22×C4—593no—
1134C22×C4—593no—
1135C22×C4—593no—
1136C22×C4—592no—
1137C22×C4—592no—
1138C22×C4—591no—
1139C22×C4—593no—
1140C22×C4—593no—
1141C22×C4—596no—
1142C22×C4—596no—
1143C22×C4—596no—
1144C22×C4—596no—
1145C22×C4—596no—
1146C22×C4—596no—
1147C22×C4—593no—
1148C22×C4—593no—
1149C22×C4—593no—
1150C22×C4—593no—
1151C22×C4—593no—
1152C22×C4—592no—
1153C22×C4—593no—
1154C22×C4—11824no—
1155C22×C4—11812no—
1156C22×C4—11812no—
1157C22×C4—1188no—
1158C22×C4—11812no—
1159C22×C4—11824no—
1160C22×C4C23×D5916yes—
1161C22×C4C23×D5916yes—
1162C22×C4C23×D5913yes—
1163C22×C4C23×D5913yes—
1164C22×C4C23×D5912yes—
1165C22×C4C23×D5913yes—
1166C4⋊C4—596no—
1167C4⋊C4—593no—
1168C4⋊C4—5912no—
1169C4⋊C4—596no—
1170C4⋊C4—5912no—
1171C4⋊C4—5912no—
1172C4⋊C4—5912no—
1173C4⋊C4—592no—
1174C4⋊C4—591no—
1175C4⋊C4—596no—
1176C4⋊C4—596no—
1177C4⋊C4—596no—
1178C4⋊C4—596no—
1179C4⋊C4—593no—
1180C4⋊C4—596no—
1181C4⋊C4—593no—
1182C4⋊C4—596no—
1183C4⋊C4—596no—
1184C4⋊C4—596no—
1185C4⋊C4—5912no—
1186C4⋊C4—596no—
1187C4⋊C4—5912no—
1188C4⋊C4—596no—
1189C4⋊C4C23×D5913yes—
1190C4⋊C4C23×D5916yes—
1191C4⋊C4C23×D59112yes—
1192C4⋊C4C23×D5911yescharacteristic
1193C4⋊C4C23×D5916yes—
1194C4⋊C4C23×D5913yes—
1195C4⋊C4C23×D5913yes—
1196C4⋊C4C23×D5916yes—
1197C4⋊C4C23×D5916yes—
1198C4⋊C4C23×D5916yes—
1199C22⋊C4—592no—
1200C22⋊C4—596no—
1201C22⋊C4—596no—
1202C22⋊C4—596no—
1203C22⋊C4—5912no—
1204C22⋊C4—592no—
1205C22⋊C4—592no—
1206C22⋊C4—596no—
1207C22⋊C4—596no—
1208C22⋊C4—596no—
1209C22⋊C4—596no—
1210C22⋊C4—596no—
1211C22⋊C4—596no—
1212C22⋊C4—5912no—
1213C22⋊C4—5912no—
1214C22⋊C4C23×D5912yes—
1215C22⋊C4C23×D5916yes—
1216C22⋊C4C23×D5916yes—
1217C22⋊C4C23×D5916yes—
1218C22⋊C4C23×D59112yes—
1219C42—593no—
1220C42—591no—
1221C42—593no—
1222C42—591no—
1223C42—593no—
1224C42—593no—
1225C42—593no—
1226C42—596no—
1227C42—596no—
1228C42—596no—
1229C42—596no—
1230C42—596no—
1231C42—593no—
1232C42—593no—
1233C42—593no—
1234C42—596no—
1235C42—596no—
1236C42—596no—
1237C42—593no—
1238C42—591no—
1239C42—596no—
1240C42C23×D5913yes—
1241C42C23×D5916yes—
1242C42C23×D5913yes—
1243C42C23×D5916yes—
1244C42C23×D5913yes—
1245C42C23×D5911yescharacteristic
1246C42C23×D5916yes—
1247C23—591no—
1248C23—598no—
1249C23—592no—
1250C23—593no—
1251C23—1184no—
1252C23—1184no—
1253C23—1186no—
1254C23—1186no—
1255C23—1186no—
1256C23C24×D5913yes—
1257C23C24×D5912yes—
1258Q8—212no—
1259Q8—26no—
1260Q8—5912no—
1261Q8—11824no—
1262Q8—11812no—
1263Q8—11812no—
1264Q8—1186no—
1265Q8#41×D5914yescomplemented
1266D4—212no—
1267D4—26no—
1268D4—598no—
1269D4—594no—
1270D4—11812no—
1271D4—11812no—
1272D4—11812no—
1273D4—11812no—
1274D4—1186no—
1275D4#41×D5914yescomplemented
1276C2×C4—212no—
1277C2×C4—212no—
1278C2×C4—26no—
1279C2×C4—26no—
1280C2×C4—24no—
1281C2×C4—26no—
1282C2×C4—591no—
1283C2×C4—591no—
1284C2×C4—593no—
1285C2×C4—594no—
1286C2×C4—5912no—
1287C2×C4—594no—
1288C2×C4—592no—
1289C2×C4—591no—
1290C2×C4—593no—
1291C2×C4—593no—
1292C2×C4—596no—
1293C2×C4—596no—
1294C2×C4—1184no—
1295C2×C4—1186no—
1296C2×C4—11812no—
1297C2×C4—1186no—
1298C2×C4—1186no—
1299C2×C4—1184no—
1300C2×C4—1186no—
1301C2×C4—1182no—
1302C2×C4—1186no—
1303C2×C4—11812no—
1304C2×C4—11812no—
1305C2×C4—11812no—
1306C2×C4—11812no—
1307C2×C4—1184no—
1308C2×C4—1186no—
1309C2×C4—11812no—
1310C2×C4—1186no—
1311C2×C4—1186no—
1312C2×C4—11812no—
1313C2×C4—11812no—
1314C2×C4—1186no—
1315C2×C4—1186no—
1316C2×C4—1184no—
1317C2×C4—1186no—
1318C2×C4C24×D5912yes—
1319C2×C4C24×D5911yescharacteristic
1320C2×C4C24×D5913yes—
1321C2×C4C24×D5913yes—
1322C2×C4C24×D5916yes—
1323C2×C4C24×D5916yes—
1324C2×C4C24×D5913yes—
1325C2×C4C24×D5911yescharacteristic
1326C2×C4C24×D5911yescharacteristic
1327C22—22no—
1328C22—22no—
1329C22—23no—
1330C22—23no—
1331C22—23no—
1332C22—592no—
1333C22—592no—
1334C22—592no—
1335C22—594no—
1336C22—11816no—
1337C22—1182no—
1338C22—1182no—
1339C22—1183no—
1340C22—1183no—
1341C22—1183no—
1342C22—23612no—
1343C22C2×#41×D5914yes—
1344C22C25×D5911yescharacteristic
1345C4—23no—
1346C4—21no—
1347C4—26no—
1348C4—26no—
1349C4—22no—
1350C4—23no—
1351C4—592no—
1352C4—596no—
1353C4—592no—
1354C4—1183no—
1355C4—1181no—
1356C4—1186no—
1357C4—1186no—
1358C4—1182no—
1359C4—1183no—
1360C4C2×#41×D5916yes—
1361C4C2×#41×D5912yes—
1362C42−1+4×D5912yes—
1363C2—24no—
1364C2—43no—
1365C2—594no—
1366C2—1184no—
1367C2—2363no—
1368C2C22×#41×D5911yescharacteristic
1369C2C22×#41×D5911yescharacteristic
1370C2C2×2−1+4×D5911yescharacteristic
subgroupG/H
centerC2×C4C24×D59
commutator, socle, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC59×#3482C2
hypercenter#3482D59
hypocenterC59C2×#3482
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #3482

Complements

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

NH ≅ G/Ntype
1. #21437718C2semidirect
2. #21437717C2semidirect
3. #21437716C2semidirect
4. #21437715C2semidirect
5. #21437714C2semidirect
6. #21437713C2semidirect
7. #21437712C2semidirect
8. #21437711C2semidirect
9. #21437710C2semidirect
10. #21437709C2semidirect
11. #21437708C2semidirect
12. #557×D59C2semidirect
13. #556×D59C2semidirect
14. #552×D59C2semidirect
15. D4×Q8×D59C2semidirect
16. #548×D59C2semidirect
17. #547×D59C2semidirect
18. #533×D59C2semidirect
19. #529×D59C2semidirect
20. C4×#41×D59C2semidirect
21. C4×#41×D59C2semidirect
22. C2×C4×Q8×D59C2semidirect
23. C59×#3482C2semidirect
27. #16838131C22semidirect
28. #16838130C22semidirect
29. #16838129C22semidirect
30. #16838128C22semidirect
31. #16838127C22semidirect
32. #16838126C22semidirect
33. #16838125C22semidirect
34. #16838124C22semidirect
35. #16838123C22semidirect
36. #16838122C22semidirect
37. #16838121C22semidirect
38. #16838120C22semidirect
39. #16838119C22semidirect
40. #16838094C22semidirect
41. #16838093C22semidirect
42. #16838092C22semidirect
43. #16838091C22semidirect
44. #16838090C22semidirect
45. #16838089C22semidirect
46. #16838088C22semidirect
47. #16838087C22semidirect
48. #16838086C22semidirect
49. #16838085C22semidirect
50. #16838084C22semidirect
51. Q8×D236C22semidirect
52. D4×Dic118C22semidirect
53. #16838067C22semidirect
54. Q8×C22⋊D59C22semidirect
55. #16838065C22semidirect
56. #16838064C22semidirect
57. #16838063C22semidirect
58. #16838062C22semidirect
59. #16838061C22semidirect
60. #16838060C22semidirect
61. #16838059C22semidirect
62. #16838058C22semidirect
63. #16838057C22semidirect
64. #16838056C22semidirect
65. #16838055C22semidirect
66. #16838054C22semidirect
67. #16838053C22semidirect
68. #16838052C22semidirect
69. #16838051C22semidirect
70. #16838050C22semidirect
71. #16837959C22semidirect
72. #16837958C22semidirect
73. #16837957C22semidirect
74. #16837957C22semidirect
75. #16837956C22semidirect
76. #16837956C22semidirect
77. #16837955C22semidirect
78. #16837954C22semidirect
79. #16837954C22semidirect
82. #16837939C22semidirect
83. #16837938C22semidirect
84. #16837937C22semidirect
85. #16837936C22semidirect
86. #16837935C22semidirect
87. #16837934C22semidirect
88. #16837933C22semidirect
89. #16837932C22semidirect
90. #16837931C22semidirect
91. #16837930C22semidirect
92. #16837929C22semidirect
102. #41×Dic59C22semidirect
103. #41×Dic59C22semidirect
104. C4×#11745689C22semidirect
105. C4×#11745689C22semidirect
106. C4×#11745689C22semidirect
107. C4×#11745689C22semidirect
108. C4×#11745685C22semidirect
109. C4×#11745685C22semidirect
110. C4×#11745685C22semidirect
111. #16837870C22semidirect
112. #16837870C22semidirect
113. #16837870C22semidirect
114. C4×#11745687C22semidirect
115. C4×#11745687C22semidirect
116. C4×#11745687C22semidirect
117. C4×#11745687C22semidirect
118. C4×#11745687C22semidirect
119. C4×#11745687C22semidirect
120. C2×Q8×Dic59C22semidirect
121. C2×C4×Dic118C22semidirect
122. C2×#14273692C22semidirect
130. C4×Q8×D59C22semidirect
131. C4×Q8×D59C22semidirect
132. C4×Q8×D59C22semidirect
133. C4×Q8×D59C22semidirect
147. C59×#557C22semidirect
148. C59×#556C22semidirect
149. C59×#552C22semidirect
150. D4×Q8×C59C22semidirect
151. C59×#548C22semidirect
152. C59×#547C22semidirect
153. C59×#533C22semidirect
154. C59×#529C22semidirect
155. C4×#41×C59C22semidirect
156. C4×#41×C59C22semidirect
157. C2×C4×Q8×C59C22semidirect
434. Q8×D59#41semidirect
440. D4×D59#41semidirect
574. Q8×C59C2×#41semidirect
577. D4×C59C2×#41semidirect
596. C22⋊D59C2×#41semidirect
614. D236C2×#41semidirect
640. Dic118C2×#41semidirect
689. #3482D59direct (N × H)
708. D59#3482direct (N × H)
717. #557C2×D59semidirect
726. #556C2×D59semidirect
738. #552C2×D59semidirect
744. D4×Q8C2×D59semidirect
752. #548C2×D59semidirect
761. #547C2×D59semidirect
771. #533C2×D59semidirect
785. #529C2×D59semidirect
813. C4×#41C2×D59semidirect
814. C4×#41C2×D59semidirect
829. C2×C4×Q8C2×D59semidirect
843. C59C2×#3482semidirect
1265. Q8#41×D59semidirect
1275. D4#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214377182
#214377172
#214377162
#214377152
#214377142
#214377132
#214377122
#214377112
#214377102
#214377092
#214377082
#557×D592
#556×D592
#552×D592
D4×Q8×D592
#548×D592
#547×D592
#533×D592
#529×D592
C4×#41×D592
C2×C4×Q8×D592
C59×#34822
C2×#348259