Finite Group Databasebeta

← #29497072

Subgroups — #29497072

Order 15104.

7856 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#21438172C212yesmaximal, complemented
2#21438124C216yesmaximal, complemented
3#21438103C211yesmaximal, characteristic, complemented
4#21438097C211yesmaximal, characteristic, complemented
5#21438060C213yesmaximal, complemented
6#21438056C213yesmaximal, complemented
7#21438000C213yesmaximal, complemented
8#21437969C213yesmaximal, complemented
9#21437913C211yesmaximal, characteristic, complemented
10#21437873C211yesmaximal, characteristic, complemented
11#21437827C216yesmaximal, complemented
12#21437762C212yesmaximal, complemented
13#21437722C212yesmaximal, complemented
14#21437702C216yesmaximal, complemented
15#21437691C211yesmaximal, characteristic, complemented
16#41×D236C213yesmaximal, complemented
17#21437582C213yesmaximal, complemented
18#21437517C216yesmaximal, complemented
19#21437389C213yesmaximal, complemented
20#532×D59C213yesmaximal, complemented
21C4×#14273773C212yesmaximal, complemented
22C2×C4×#11745689C211yesmaximal, characteristic, complemented
23C59×#3480C211yesmaximal, characteristic, complemented
24C2×#14273773C2212yes—
25C22×#11745689C2211yescharacteristic
26C2×#41×D59C2216yescomplemented
27#16838137C2213yescomplemented
28#16838134C2216yescomplemented
29Q8×Dic118C2212yescomplemented
30#16838131C2211yescharacteristic, complemented
31#16838125C2213yescomplemented
32#16838117C2216yescomplemented
33#16838115C2216yescomplemented
34#16838115C2216yescomplemented
35#16838110C2216yescomplemented
36#16838108C2216yescomplemented
37#16838105C2216yescomplemented
38#16838104C2216yescomplemented
39#16838103C22112yescomplemented
40#16838100C2216yescomplemented
41#16838077C22112yescomplemented
42#16838075C22112yescomplemented
43#16838074C2213yescomplemented
44#16838074C2212yescomplemented
45#16838074C2211yescharacteristic, complemented
46#16838073C2216yescomplemented
47#16838072C2213yescomplemented
48#16838071C2212yescomplemented
49#16838071C2212yescomplemented
50Q8×D236C2213yescomplemented
51#16838067C2213yescomplemented
52#16838064C2216yescomplemented
53#16838063C2212yescomplemented
54#16838060C2216yescomplemented
55#16838056C2213yescomplemented
56#16838056C2216yescomplemented
57#16838055C2213yescomplemented
58#16838052C2216yescomplemented
59#16838047C2216yescomplemented
60#16838047C22112yescomplemented
61#16838045C2216yescomplemented
62#16838045C2216yescomplemented
63#16838044C22112yescomplemented
64#16838043C2216yescomplemented
65#16838041C22112yescomplemented
66D4×D236C2216yescomplemented
67D4×D236C2213yescomplemented
68#16838037C2213yescomplemented
69#16838036C2216yescomplemented
70#16838036C2216yescomplemented
71#16838032C2216yescomplemented
72#16838025C2216yescomplemented
73#16838021C2216yescomplemented
74#16838018C22112yescomplemented
75#16838008C2216yescomplemented
76#16838005C2216yescomplemented
77#16838004C22112yescomplemented
78#16837991C22112yescomplemented
79#16837988C22112yescomplemented
80#16837982C2216yescomplemented
81#16837970C2216yescomplemented
82#16837968C2216yescomplemented
83#16837956C2213yescomplemented
84#16837956C2213yescomplemented
85#16837955C2211yescharacteristic, complemented
86#16837953C2213yescomplemented
87#16837952C2216yescomplemented
88#16837952C2213yescomplemented
89#16837951C2216yescomplemented
90#16837950C2213yescomplemented
91#16837949C2216yescomplemented
92#16837949C2213yescomplemented
93#16837949C2216yescomplemented
94#16837949C2213yescomplemented
95#16837949C2216yescomplemented
96#16837948C2213yescomplemented
97#16837947C2216yescomplemented
98#16837947C2216yescomplemented
99C4⋊Q8×D59C2213yescomplemented
100#127×D59C2213yescomplemented
101#16837939C2216yescomplemented
102#16837939C2213yescomplemented
103#16837939C2213yescomplemented
104#16837934C2213yescomplemented
105#16837934C2213yescomplemented
106#16837932C2216yescomplemented
107#16837932C2216yescomplemented
108#16837930C2216yescomplemented
109#16837930C2216yescomplemented
110#124×D59C2216yescomplemented
111#16837914C22112yescomplemented
112#16837914C2213yescomplemented
113#16837911C22112yescomplemented
114#16837911C2216yescomplemented
115#16837911C2216yescomplemented
116#16837909C2213yescomplemented
117#121×D59C2216yescomplemented
118#121×D59C2216yescomplemented
119#16837885C2212yescomplemented
120#16837884C2212yes—
121#16837884C2212yescomplemented
122#16837882C2216yescomplemented
123#16837876C2216yescomplemented
124#16837874C2216yescomplemented
125#16837874C2216yescomplemented
126C4×#11745689C2211yescharacteristic
127C4×#11745689C2211yescharacteristic
128C4×#11745689C2213yescomplemented
129C4×#11745689C2213yescomplemented
130C4×#11745689C2211yescharacteristic, complemented
131C4×#11745689C2212yescomplemented
132C4×#11745689C2213yescomplemented
133C4×#11745689C2213yescomplemented
134C4×#11745689C2211yescharacteristic, complemented
135C4×#11745685C2216yescomplemented
136C4×#11745685C2216yescomplemented
137C4×#11745685C2213yescomplemented
138C2×Q8×Dic59C2211yescharacteristic, complemented
139C2×C4×D236C2216yescomplemented
140C2×C4×D236C2213yescomplemented
141C2×#14273689C2213yescomplemented
142C4×D4×D59C2216yescomplemented
143C4×D4×D59C2216yescomplemented
144C4×D4×D59C2216yescomplemented
145C2×#14273685C2213yescomplemented
146C2×C42×D59C2213yescomplemented
147C59×#559C2213yescomplemented
148C59×#557C2211yescharacteristic, complemented
149C59×#556C2213yescomplemented
150C59×#553C2216yescomplemented
151C59×#550C2211yescharacteristic, complemented
152C59×#548C2212yescomplemented
153C59×#532C2213yescomplemented
154C59×#529C2216yescomplemented
155C4×#41×C59C2212yescomplemented
156C4×#41×C59C2213yescomplemented
157C2×C4×Q8×C59C2211yescharacteristic, complemented
158#14273773—216no—
159C2×#11745689—28no—
160C2×#11745689C2313yes—
161C2×#11745689C2313yes—
162C2×#11745689C2311yescharacteristic
163C2×#11745689C2312yes—
164C2×#11745689C2316yes—
165C2×#11745689C2311yescharacteristic
166C2×#11745685C2316yes—
167C2×#11745685C2313yes—
168C2×#11745685C23112yes—
169C2×#11745685C2316yes—
170C2×#11745687C23112yes—
171C2×#11745687C2316yes—
172#41×D59—424no—
173C2×Q8×D59C2316yes—
174C22×D236C2313yes—
175C22×D236C2316yes—
176C2×D4×D59C2316yes—
177C2×D4×D59C2316yes—
178C2×D4×D59C23112yes—
179C2×D4×D59C2316yes—
180C2×D4×D59C2316yes—
181C22×C4×D59C2313yes—
182C22×C4×D59C2313yes—
183C22×C4×D59C2313yes—
184C22×C4×D59C23112yes—
185#14273727C2313yes—
186#14273727C2316yes—
187#14273726C2316yes—
188#14273726C2316yes—
189#14273726C2311yescharacteristic
190#14273726C2311yescharacteristic
191#14273726C2316yes—
192#14273725C2313yes—
193#14273724C2313yes—
194#14273724C2316yes—
195#14273723C2313yes—
196#14273723C2316yes—
197#14273723C2316yes—
198#14273723C2316yes—
199#14273722C2316yes—
200#14273722C2316yes—
201#14273722C23112yes—
202#14273720C2316yes—
203#14273720C2316yes—
204#14273718C2311yescharacteristic
205#14273718C2311yescharacteristic
206#14273718C2316yes—
207#14273717C2316yes—
208#14273717C2316yes—
209#14273716C2313yes—
210#14273716C2316yes—
211#14273715C2316yes—
212#14273715C23112yes—
213#14273714C2313yes—
214#14273713C23112yes—
215#14273713C23112yes—
216#14273713C2316yes—
217#14273713C2316yes—
218#14273713C23112yes—
219#14273712C2316yes—
220#14273712C2316yes—
221#14273712C23112yes—
222#14273712C23112yes—
223#14273711C2316yes—
224#14273711C23112yes—
225#14273711C23112yes—
226#14273709C2316yes—
227#14273709C2316yes—
228#14273709C23112yes—
229#14273708C2316yes—
230#14273707C2313yes—
231#14273707C2313yes—
232#14273707C23112yes—
233#14273707C23112yes—
234#14273705C2316yes—
235#14273705C2316yes—
236#14273705C23112yes—
237#14273704C2312yes—
238#14273704C2312yes—
239#14273704C23112yes—
240#14273703C2313yes—
241#14273703C2313yes—
242#14273703C2316yes—
243#14273702C2316yes—
244#14273702C2316yes—
245#14273702C2313yes—
246#14273702C2313yes—
247#14273702C23112yes—
248#14273702C23112yes—
249#14273702C2316yes—
250#14273702C2316yes—
251#14273701C2316yes—
252#14273701C2316yes—
253#14273701C2316yes—
254#14273701C2316yes—
255#14273701C23112yes—
256#14273700C23112yes—
257#14273700C23112yes—
258#14273700C2316yes—
259#14273700C2316yes—
260#14273700C23112yes—
261#14273700C23112yes—
262#14273699C2316yes—
263#14273699C2316yes—
264#14273699C23112yes—
265#14273698C2316yes—
266#14273698C2316yes—
267#14273698C2313yes—
268#14273698C2313yes—
269#14273698C2316yes—
270#14273697C2316yes—
271#14273697C23112yes—
272#14273697C23112yes—
273#14273697C23112yes—
274#14273695C2316yes—
275#14273695C23112yes—
276Q8×Dic59C2313yes—
277Q8×Dic59C2312yes—
278Q8×Dic59C2311yescharacteristic
279Q8×Dic59C2313yes—
280Q8×Dic59C2311yescharacteristic
281C4×Dic118C2312yes—
282C4×Dic118C2312yes—
283C4×Dic118C2316yes—
284C4×Dic118C2316yes—
285C4×Dic118C2313yes—
286C4×Dic118C2313yes—
287C4×D236C2316yes—
288C4×D236C2316yes—
289C4×D236C2316yes—
290C4×D236C2316yes—
291C4×D236C2316yes—
292C4×D236C2316yes—
293C4×D236C2316yes—
294C4×D236C2313yes—
295C4×D236C2313yes—
296C4×D236C2313yes—
297C4×D236C2313yes—
298C4×D236C2316yes—
299C4×D236C2316yes—
300C4×D236C23112yes—
301C4×D236C2313yes—
302C4×D236C2316yes—
303C4×D236C2313yes—
304D4×Dic59C2316yes—
305D4×Dic59C2316yes—
306D4×Dic59C2316yes—
307#14273689C2316yes—
308#14273689C2316yes—
309#14273689C2316yes—
310#14273689C2313yes—
311#14273689C2313yes—
312#14273689C2316yes—
313#14273689C2316yes—
314#14273689C2313yes—
315#14273689C2316yes—
316#14273689C2313yes—
317C4×C22⋊D59C2316yes—
318C4×C22⋊D59C2316yes—
319C4×C22⋊D59C2316yes—
320C4×C22⋊D59C2316yes—
321C4×C22⋊D59C2316yes—
322C4×C22⋊D59C2316yes—
323C4×C22⋊D59C2316yes—
324C4×C22⋊D59C2316yes—
325C4×C22⋊D59C2316yes—
326C4×C22⋊D59C2316yes—
327(C22⋊D59)⋊C4C23112yes—
328(C22⋊D59)⋊C4C23112yes—
329(C22⋊D59)⋊C4C23112yes—
330#14273686C2311yescharacteristic
331#14273686C2316yes—
332#14273686C2316yes—
333#14273685C2313yes—
334#14273685C2316yes—
335#14273685C2316yes—
336#14273685C2316yes—
337#14273685C2313yes—
338#14273685C2313yes—
339#14273685C2313yes—
340#14273684C2316yes—
341#14273684C2316yes—
342#14273684C2316yes—
343#14273684C2316yes—
344#14273684C2316yes—
345C2×C4⋊Dic59C2313yes—
346C2×C4⋊Dic59C2316yes—
347C4⋊C4×D59C2316yes—
348C4⋊C4×D59C2316yes—
349C4⋊C4×D59C2316yes—
350C2×(C2×D59)⋊C4C2316yes—
351C2×(C2×D59)⋊C4C23112yes—
352C22⋊C4×D59C23112yes—
353C22⋊C4×D59C23112yes—
354C22⋊C4×D59C23112yes—
355C2×C4×Dic59C2313yes—
356C2×C4×Dic59C2313yes—
357C2×C4×Dic59C2311yescharacteristic
358C42×D59C2313yes—
359C42×D59C2313yes—
360C42×D59C2313yes—
361C42×D59C2313yes—
362C42×D59C2316yes—
363C42×D59C2313yes—
364C42×D59C2313yes—
365C42×D59C2313yes—
366C42×D59C2313yes—
367C2×#41×C59C2313yes—
368C2×#41×C59C2312yes—
369C22×Q8×C59C2311yescharacteristic
370C4⋊Q8×C59C2313yes—
371#127×C59C2313yes—
372#126×C59C23112yes—
373#125×C59C2316yes—
374#124×C59C2316yes—
375#124×C59C2316yes—
376#123×C59C23112yes—
377C22⋊Q8×C59C2316yes—
378#121×C59C2316yes—
379#121×C59C2316yes—
380#121×C59C2316yes—
381C4×Q8×C59C2313yes—
382C4×Q8×C59C2313yes—
383C4×Q8×C59C2313yes—
384C4×Q8×C59C2311yescharacteristic
385C4×Q8×C59C2311yescharacteristic
386C4×Q8×C59C2313yes—
387C4×Q8×C59C2312yes—
388C4×D4×C59C2316yes—
389C4×D4×C59C2316yes—
390C4×D4×C59C2316yes—
391C4×D4×C59C2313yes—
392C4×D4×C59C2313yes—
393C4×D4×C59C2316yes—
394C4×D4×C59C2316yes—
395#117×C59C2311yescharacteristic
396#117×C59C2316yes—
397#117×C59C2316yes—
398C2×C4⋊C4×C59C2313yes—
399C2×C42×C59C2313yes—
400C2×C42×C59C2316yes—
401C23×D59C2413yes—
402C23×D59C24112yes—
403#41×C59—28no—
404#41×C59—212no—
405C2×Q8×C59—24no—
406C2×Q8×C59C2413yes—
407C2×Q8×C59C2413yes—
408C2×Q8×C59C2411yescharacteristic
409C2×D4×C59C2416yes—
410C2×D4×C59C2416yes—
411C2×D4×C59C2413yes—
412C2×D4×C59C2416yes—
413C22×C4×C59C2413yes—
414C22×C4×C59C2416yes—
415C22×C4×C59C2416yes—
416C22×C4×C59C2413yes—
417C22×C4×C59C2416yes—
418C22×C4×C59C2411yescharacteristic
419C2×C22⋊D59C2416yes—
420C2×C22⋊D59C2416yes—
421C2×C22⋊D59C2416yes—
422C2×C22⋊D59C2416yes—
423C2×C22⋊D59C2416yes—
424C2×C22⋊D59C24112yes—
425C2×C22⋊D59C24112yes—
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2413yes—
429C22×Dic59C24112yes—
430#11745689—24no—
431#11745689—28no—
432#11745689—212no—
433#11745689—212no—
434#11745689—412no—
435#11745689#4118yescomplemented
436Q8×D59—412no—
437#11745687—412no—
438#11745687—424no—
439D4×D59—224no—
440D4×D59—224no—
441D4×D59—412no—
442D4×D59—412no—
443D4×D59—424no—
444#11745685—212no—
445#11745685—224no—
446#11745685—412no—
447#11745685—424no—
448C2×D236—212no—
449C2×D236—224no—
450C2×D236C2416yes—
451C2×D236C2416yes—
452C2×D236C2413yes—
453C2×D236C2416yes—
454C2×D236C2413yes—
455C2×D236C2416yes—
456C2×D236C2416yes—
457C2×D236C24112yes—
458C2×D236C2413yes—
459C2×C4×D59—212no—
460C2×C4×D59—212no—
461C2×C4×D59—46no—
462C2×C4×D59—424no—
463C2×C4×D59C2413yes—
464C2×C4×D59C2413yes—
465C2×C4×D59C2413yes—
466C2×C4×D59C2413yes—
467C2×C4×D59C2413yes—
468C2×C4×D59C2413yes—
469C2×C4×D59C2413yes—
470C2×C4×D59C2413yes—
471C2×C4×D59C2413yes—
472C2×C4×D59C2416yes—
473C2×C4×D59C2416yes—
474C2×C4×D59C2413yes—
475C2×C4×D59C2413yes—
476C2×C4×D59C2416yes—
477C2×C4×D59C24112yes—
478C2×C4×D59C24112yes—
479C2×C4×D59C2413yes—
480C2×Dic118C2412yes—
481C2×Dic118C2412yes—
482C2×Dic118C2413yes—
483C2×Dic118C24112yes—
484C4⋊C4×C59C2413yes—
485C4⋊C4×C59C2413yes—
486C4⋊C4×C59C2416yes—
487C4⋊C4×C59C2411yescharacteristic
488C4⋊C4×C59C2411yescharacteristic
489C4⋊C4×C59C2416yes—
490C4⋊C4×C59C2416yes—
491C4⋊C4×C59C2416yes—
492C4⋊C4×C59C2416yes—
493C22⋊C4×C59C2412yes—
494C22⋊C4×C59C2416yes—
495C22⋊C4×C59C24112yes—
496C22⋊C4×C59C2416yes—
497C22⋊C4×C59C24112yes—
498C42×C59C2412yes—
499C42×C59C2413yes—
500C42×C59C2413yes—
501C42×C59C2416yes—
502C42×C59C2416yes—
503C42×C59C2413yes—
504C42×C59C2413yes—
505C22⋊Dic59C2416yes—
506C22⋊Dic59C2416yes—
507C22⋊Dic59C2416yes—
508C22⋊Dic59C2412yes—
509C22⋊Dic59C2416yes—
510(C2×D59)⋊C4C2416yes—
511(C2×D59)⋊C4C2416yes—
512(C2×D59)⋊C4C2416yes—
513(C2×D59)⋊C4C2416yes—
514(C2×D59)⋊C4C24112yes—
515(C2×D59)⋊C4C24112yes—
516(C2×D59)⋊C4C2416yes—
517(C2×D59)⋊C4C2416yes—
518(C2×D59)⋊C4C2416yes—
519(C2×D59)⋊C4C2416yes—
520(C2×D59)⋊C4C2416yes—
521(C2×D59)⋊C4C2416yes—
522(C2×D59)⋊C4C2416yes—
523(C2×D59)⋊C4C2416yes—
524(C2×D59)⋊C4C2416yes—
525(C2×D59)⋊C4C2416yes—
526C4⋊Dic59C2413yes—
527C4⋊Dic59C2416yes—
528C4⋊Dic59C2416yes—
529C4⋊Dic59C2416yes—
530C4⋊Dic59C2413yes—
531C4⋊Dic59C2416yes—
532C4⋊Dic59C2412yes—
533C4⋊Dic59C2412yes—
534C4⋊Dic59C2411yescharacteristic
535C4⋊Dic59C2411yescharacteristic
536C4⋊Dic59C2416yes—
537Dic59⋊C4C2416yes—
538Dic59⋊C4C2416yes—
539Dic59⋊C4C2416yes—
540Dic59⋊C4C2412yes—
541Dic59⋊C4C2412yes—
542Dic59⋊C4C2412yes—
543Dic59⋊C4C2412yes—
544Dic59⋊C4C2416yes—
545Dic59⋊C4C2416yes—
546Dic59⋊C4C2416yes—
547C4×Dic59C2411yescharacteristic
548C4×Dic59C2411yescharacteristic
549C4×Dic59C2411yescharacteristic
550C4×Dic59C2411yescharacteristic
551C4×Dic59C2412yes—
552C4×Dic59C2413yes—
553C4×Dic59C2413yes—
554C4×Dic59C2413yes—
555C4×Dic59C2413yes—
556C4×Dic59C2413yes—
557C4×Dic59C2413yes—
558C4×Dic59C2413yes—
559C4×Dic59C2413yes—
560C4×Dic59C2416yes—
561C4×Dic59C2416yes—
562C23×C59C2516yes—
563C23×C59C2511yescharacteristic
564C22×D59—26no—
565C22×D59—26no—
566C22×D59—224no—
567C22×D59—43no—
568C22×D59—412no—
569C22×D59—412no—
570C22×D59C2516yes—
571C22×D59C2513yes—
572C22×D59C2513yes—
573Q8×C59—26no—
574Q8×C59—26no—
575Q8×C59C2×#4114yescomplemented
576D4×C59—212no—
577D4×C59—212no—
578D4×C59—26no—
579D4×C59—46no—
580C2×C4×C59—26no—
581C2×C4×C59—212no—
582C2×C4×C59—212no—
583C2×C4×C59—43no—
584C2×C4×C59—46no—
585C2×C4×C59H(5,𝔽2)14yescomplemented
586C2×C4×C59C2513yes—
587C2×C4×C59C2513yes—
588C2×C4×C59C2513yes—
589C2×C4×C59C2516yes—
590C2×C4×C59C2512yes—
591C2×C4×C59C2512yes—
592C2×C4×C59C2513yes—
593C2×C4×C59C2511yescharacteristic
594C2×C4×C59C2511yescharacteristic
595C22⋊D59—212no—
596C22⋊D59—212no—
597C22⋊D59—212no—
598C22⋊D59—212no—
599C22⋊D59—412no—
600C22⋊D59—412no—
601C22⋊D59—46no—
602C2×Dic59—26no—
603C2×Dic59—22no—
604C2×Dic59—22no—
605C2×Dic59—412no—
606C2×Dic59C2511yescharacteristic
607C2×Dic59C2511yescharacteristic
608C2×Dic59C2512yes—
609C2×Dic59C2512yes—
610C2×Dic59C2513yes—
611C2×Dic59C2513yes—
612C2×Dic59C2516yes—
613C2×Dic59C2511yescharacteristic
614C2×Dic59C2511yescharacteristic
615D236—212no—
616D236—212no—
617D236—212no—
618D236—26no—
619D236—26no—
620D236—46no—
621D236—412no—
622D236—46no—
623D236C2×#41112yescomplemented
624C4×D59—26no—
625C4×D59—26no—
626C4×D59—212no—
627C4×D59—26no—
628C4×D59—26no—
629C4×D59—26no—
630C4×D59—26no—
631C4×D59—212no—
632C4×D59—26no—
633C4×D59—26no—
634C4×D59—26no—
635C4×D59—43no—
636C4×D59—43no—
637C4×D59—412no—
638C4×D59—412no—
639C4×D59—46no—
640C4×D59C2×#41112yescomplemented
641Dic118—26no—
642Dic118—24no—
643Dic118—24no—
644Dic118—412no—
645#62800—591nomaximal, Sylow
646C22×C59—21no—
647C22×C59—21no—
648C22×C59—26no—
649C22×C59—26no—
650C22×C59—26no—
651C22×C59C2×H(5,𝔽2)12yes—
652C22×C59C2611yescharacteristic
653C2×D59—23no—
654C2×D59—23no—
655C2×D59—23no—
656C2×D59—26no—
657C2×D59—23no—
658C2×D59—26no—
659C2×D59—23no—
660C2×D59—26no—
661C2×D59—412no—
662C2×D59—824no—
663C2×D59C22×#4116yes—
664C4×C59—22no—
665C4×C59—23no—
666C4×C59—26no—
667C4×C59—22no—
668C4×C59—23no—
669C4×C59—23no—
670C4×C59C22×#4116yes—
671C4×C59C2×H(5,𝔽2)12yes—
672C4×C59C2×H(5,𝔽2)12yes—
673Dic59—22no—
674Dic59—21no—
675Dic59—26no—
676Dic59—23no—
677Dic59—23no—
678Dic59—22no—
679Dic59—21no—
680Dic59C22×#4112yes—
681Dic59#58512yes—
682#3522—592no—
683#3519—596no—
684#3517—591no—
685#3517—591no—
686#3514—593no—
687#3514—593no—
688#3511—593no—
689#3508—593no—
690#3503—591no—
691#3498—591no—
692#3494—596no—
693#3488—592no—
694#3483—592no—
695#3481—596no—
696#3480—591no—
697#3480D5911yescharacteristic, complemented
698D4×#41—593no—
699D4×#41—593no—
700#3460—596no—
701#3444—593no—
702C2×#532—593no—
703C4×H(5,𝔽2)—592no—
704C2×C4×#41—591no—
705C2×C59—22no—
706C2×C59—46no—
707C2×C59C23×#4111yescharacteristic
708C2×C59C22×H(5,𝔽2)11yescharacteristic
709C2×C59C2×#58511yescharacteristic
710D59—26no—
711D59—43no—
712D59—46no—
713C2×H(5,𝔽2)—592no—
714C22×#41—596no—
715C22×#41—591no—
716#559—596no—
717#559—593no—
718#559C2×D5913yescomplemented
719Q82—592no—
720#557—591no—
721#557C2×D5911yescharacteristic, complemented
722#556—593no—
723#556C2×D5913yescomplemented
724#555—596no—
725#555—596no—
726#555—596no—
727#554—596no—
728#554—596no—
729#553—5912no—
730#553—596no—
731#553—596no—
732#553—596no—
733#553C2×D5916yescomplemented
734#551—5912no—
735#551—5912no—
736#550—592no—
737#550—592no—
738#550—593no—
739#550—593no—
740#550—591no—
741#550—592no—
742#550—596no—
743#550C2×D5911yescharacteristic, complemented
744D4×Q8—593no—
745D4×Q8—593no—
746#548—592no—
747#548—596no—
748#548—596no—
749#548C2×D5912yescomplemented
750#547—593no—
751#547—596no—
752#547—596no—
753#547—593no—
754#546—596no—
755#546—596no—
756#546—5912no—
757#546—596no—
758#546—5912no—
759#546—5912no—
760#546—596no—
761D42—593no—
762D42—596no—
763D42—596no—
764D42—596no—
765D42—593no—
766#544—596no—
767#542—5912no—
768#542—596no—
769#542—596no—
770#540—596no—
771#540—5912no—
772#540—596no—
773#538—5912no—
774#538—5912no—
775#537—596no—
776#535—596no—
777#535—596no—
778#533—593no—
779#533—593no—
780#533—591no—
781#532—593no—
782#532—593no—
783#532—593no—
784#532—596no—
785#532—596no—
786#532—596no—
787#532—596no—
788#532—596no—
789#532—593no—
790#532—593no—
791#532—596no—
792#532—593no—
793#532—596no—
794#532C2×D5913yescomplemented
795C2×C4⋊Q8—593no—
796C2×#127—593no—
797#529—593no—
798#529—593no—
799#529—596no—
800#529—596no—
801#529—596no—
802#529—593no—
803#529—593no—
804#529—596no—
805#529—596no—
806#529C2×D5916yescomplemented
807C2×#124—596no—
808#525—593no—
809#525—596no—
810#525—596no—
811#525—5912no—
812#525—593no—
813#525—5912no—
814C2×#121—596no—
815C2×#121—596no—
816#520—592no—
817#520—592no—
818#520—592no—
819#520—596no—
820#518—596no—
821#518—596no—
822#518—596no—
823C4×#41—591no—
824C4×#41—593no—
825C4×#41—593no—
826C4×#41—591no—
827C4×#41—591no—
828C4×#41—593no—
829C4×#41—593no—
830C4×#41—591no—
831C4×#41—592no—
832C4×#41—596no—
833C4×#41—593no—
834C4×#41—596no—
835C4×#41C2×D5912yescomplemented
836C4×#41C2×D5913yescomplemented
837C2×C4×Q8—591no—
838C2×C4×Q8C2×D5911yescharacteristic, complemented
839C2×C4×D4—596no—
840C2×C4×D4—596no—
841C2×C4×D4—596no—
842C2×C4×D4—593no—
843C2×C4×D4—593no—
844C2×C4×D4—596no—
845C2×#117—593no—
846C22×C42—593no—
847C59#6280011yescharacteristic, complemented, Sylow
848H(5,𝔽2)—11816no—
849C2×#41—591no—
850C2×#41—593no—
851C2×#41—593no—
852C2×#41—591no—
853C2×#41—592no—
854C2×#41—596no—
855C2×#41—5912no—
856C2×#41—596no—
857C2×#41—596no—
858C2×#41—593no—
859C2×#41—596no—
860C2×#41—5912no—
861C2×#41—1188no—
862C2×#41—23624no—
863C2×#41C22×D5912yes—
864C2×#41C22×D5913yes—
865C22×Q8—596no—
866C22×Q8C22×D5911yescharacteristic
867C22×D4—596no—
868C22×D4—596no—
869C22×D4—596no—
870C22×D4—5912no—
871C22×D4—596no—
872C22×D4—593no—
873C22×D4—596no—
874C23×C4—593no—
875C23×C4—593no—
876C23×C4—5912no—
877C23×C4—593no—
878C4⋊Q8—593no—
879C4⋊Q8—596no—
880C4⋊Q8—596no—
881C4⋊Q8—591no—
882C4⋊Q8—591no—
883C4⋊Q8—596no—
884C4⋊Q8—593no—
885C4⋊Q8—596no—
886C4⋊Q8C22×D5913yes—
887#127—593no—
888#127—596no—
889#127—596no—
890#127—596no—
891#127—593no—
892#127—596no—
893#127C22×D5913yes—
894#126—596no—
895#126—596no—
896#126—5912no—
897#126—596no—
898#126—596no—
899#126C22×D59112yes—
900#125—591no—
901#125—591no—
902#125—596no—
903#125—596no—
904#125—596no—
905#125C22×D5916yes—
906#124—593no—
907#124—596no—
908#124—593no—
909#124—5912no—
910#124—5912no—
911#124—596no—
912#124—596no—
913#124—5912no—
914#124—596no—
915#124—5912no—
916#124C22×D5916yes—
917#124C22×D5916yes—
918#123—596no—
919#123—596no—
920#123—596no—
921#123—5912no—
922#123—5912no—
923#123—596no—
924#123—596no—
925#123—596no—
926#123—5912no—
927#123—5912no—
928#123—5912no—
929#123C22×D59112yes—
930C22⋊Q8—593no—
931C22⋊Q8—593no—
932C22⋊Q8—596no—
933C22⋊Q8—596no—
934C22⋊Q8—593no—
935C22⋊Q8—596no—
936C22⋊Q8—593no—
937C22⋊Q8—5912no—
938C22⋊Q8—5912no—
939C22⋊Q8—5912no—
940C22⋊Q8—592no—
941C22⋊Q8—592no—
942C22⋊Q8—5912no—
943C22⋊Q8C22×D5916yes—
944#121—596no—
945#121—596no—
946#121—596no—
947#121—596no—
948#121—593no—
949#121—593no—
950#121—5912no—
951#121—596no—
952#121—596no—
953#121—596no—
954#121—596no—
955#121—596no—
956#121—5912no—
957#121—596no—
958#121—596no—
959#121—593no—
960#121—593no—
961#121—5912no—
962#121—5912no—
963#121—596no—
964#121—596no—
965#121—5912no—
966#121—5912no—
967#121—596no—
968#121—596no—
969#121—5912no—
970#121—5912no—
971#121C22×D5916yes—
972#121C22×D5916yes—
973#121C22×D5916yes—
974#120—596no—
975#120—5912no—
976#120—596no—
977#120—5912no—
978#120—5912no—
979#120—5912no—
980C4×Q8—591no—
981C4×Q8—593no—
982C4×Q8—591no—
983C4×Q8—593no—
984C4×Q8—592no—
985C4×Q8—592no—
986C4×Q8—592no—
987C4×Q8—596no—
988C4×Q8—593no—
989C4×Q8—593no—
990C4×Q8—596no—
991C4×Q8C22×D5911yescharacteristic
992C4×Q8C22×D5913yes—
993C4×Q8C22×D5911yescharacteristic
994C4×Q8C22×D5913yes—
995C4×Q8C22×D5912yes—
996C4×Q8C22×D5913yes—
997C4×Q8C22×D5913yes—
998C4×D4—596no—
999C4×D4—596no—
1000C4×D4—596no—
1001C4×D4—596no—
1002C4×D4—596no—
1003C4×D4—596no—
1004C4×D4—596no—
1005C4×D4—596no—
1006C4×D4—596no—
1007C4×D4—596no—
1008C4×D4—596no—
1009C4×D4—596no—
1010C4×D4—596no—
1011C4×D4—593no—
1012C4×D4—596no—
1013C4×D4—593no—
1014C4×D4—593no—
1015C4×D4—596no—
1016C4×D4—593no—
1017C4×D4—596no—
1018C4×D4—596no—
1019C4×D4—596no—
1020C4×D4—596no—
1021C4×D4—5912no—
1022C4×D4—5912no—
1023C4×D4—5912no—
1024C4×D4—593no—
1025C4×D4—596no—
1026C4×D4—596no—
1027C4×D4—596no—
1028C4×D4—593no—
1029C4×D4—593no—
1030C4×D4—596no—
1031C4×D4—593no—
1032C4×D4—596no—
1033C4×D4—5912no—
1034C4×D4—596no—
1035C4×D4—596no—
1036C4×D4—596no—
1037C4×D4—596no—
1038C4×D4—596no—
1039C4×D4—593no—
1040C4×D4—593no—
1041C4×D4C22×D5916yes—
1042C4×D4C22×D5916yes—
1043C4×D4C22×D5916yes—
1044C4×D4C22×D5916yes—
1045C4×D4C22×D5916yes—
1046C4×D4C22×D5913yes—
1047C4×D4C22×D5913yes—
1048#117—591no—
1049#117—596no—
1050#117—596no—
1051#117—593no—
1052#117—593no—
1053#117—596no—
1054#117—596no—
1055#117—593no—
1056#117—593no—
1057#117—596no—
1058#117—596no—
1059#117—596no—
1060#117—596no—
1061#117—596no—
1062#117—596no—
1063#117C22×D5911yescharacteristic
1064#117C22×D5916yes—
1065#117C22×D5916yes—
1066C2×C4⋊C4—593no—
1067C2×C4⋊C4—596no—
1068C2×C4⋊C4—596no—
1069C2×C4⋊C4—596no—
1070C2×C4⋊C4—596no—
1071C2×C4⋊C4C22×D5913yes—
1072C2×C22⋊C4—596no—
1073C2×C22⋊C4—5912no—
1074C2×C22⋊C4—5912no—
1075C2×C22⋊C4—5912no—
1076C2×C22⋊C4—5912no—
1077C2×C42—593no—
1078C2×C42—593no—
1079C2×C42—591no—
1080C2×C42—593no—
1081C2×C42—593no—
1082C2×C42—596no—
1083C2×C42—593no—
1084C2×C42—593no—
1085C2×C42—593no—
1086C2×C42—593no—
1087C2×C42—593no—
1088C2×C42—593no—
1089C2×C42C22×D5913yes—
1090C2×C42C22×D5916yes—
1091C24—593no—
1092C24—5912no—
1093#41—28no—
1094#41—212no—
1095#41—598no—
1096#41—11824no—
1097#41—11812no—
1098#41—11812no—
1099#41—1184no—
1100#41—1188no—
1101#41—11812no—
1102#41—23624no—
1103#41—23612no—
1104#41—23624no—
1105#41—23612no—
1106#41—23612no—
1107C2×Q8—24no—
1108C2×Q8—592no—
1109C2×Q8—592no—
1110C2×Q8—593no—
1111C2×Q8—5912no—
1112C2×Q8—23612no—
1113C2×Q8C23×D5913yes—
1114C2×Q8C23×D5913yes—
1115C2×Q8C23×D5911yescharacteristic
1116C2×D4—596no—
1117C2×D4—596no—
1118C2×D4—596no—
1119C2×D4—596no—
1120C2×D4—596no—
1121C2×D4—5912no—
1122C2×D4—5912no—
1123C2×D4—593no—
1124C2×D4—596no—
1125C2×D4—596no—
1126C2×D4—596no—
1127C2×D4—593no—
1128C2×D4—593no—
1129C2×D4—596no—
1130C2×D4—596no—
1131C2×D4—5912no—
1132C2×D4—11812no—
1133C2×D4—11824no—
1134C2×D4—11824no—
1135C2×D4—11824no—
1136C2×D4—23612no—
1137C2×D4—23612no—
1138C2×D4—23624no—
1139C2×D4C23×D5916yes—
1140C2×D4C23×D5916yes—
1141C2×D4C23×D5913yes—
1142C2×D4C23×D5916yes—
1143C22×C4—593no—
1144C22×C4—591no—
1145C22×C4—591no—
1146C22×C4—593no—
1147C22×C4—5912no—
1148C22×C4—593no—
1149C22×C4—593no—
1150C22×C4—593no—
1151C22×C4—593no—
1152C22×C4—593no—
1153C22×C4—593no—
1154C22×C4—593no—
1155C22×C4—596no—
1156C22×C4—593no—
1157C22×C4—593no—
1158C22×C4—596no—
1159C22×C4—593no—
1160C22×C4—593no—
1161C22×C4—596no—
1162C22×C4—5912no—
1163C22×C4—5912no—
1164C22×C4—11812no—
1165C22×C4—11812no—
1166C22×C4—23624no—
1167C22×C4—2366no—
1168C22×C4C23×D5913yes—
1169C22×C4C23×D5916yes—
1170C22×C4C23×D5916yes—
1171C22×C4C23×D5913yes—
1172C22×C4C23×D5916yes—
1173C22×C4C23×D5911yescharacteristic
1174C4⋊C4—593no—
1175C4⋊C4—596no—
1176C4⋊C4—596no—
1177C4⋊C4—596no—
1178C4⋊C4—596no—
1179C4⋊C4—596no—
1180C4⋊C4—593no—
1181C4⋊C4—596no—
1182C4⋊C4—596no—
1183C4⋊C4—592no—
1184C4⋊C4—592no—
1185C4⋊C4—592no—
1186C4⋊C4—592no—
1187C4⋊C4—592no—
1188C4⋊C4—592no—
1189C4⋊C4—591no—
1190C4⋊C4—591no—
1191C4⋊C4—596no—
1192C4⋊C4—596no—
1193C4⋊C4—596no—
1194C4⋊C4—596no—
1195C4⋊C4C23×D5916yes—
1196C4⋊C4C23×D5916yes—
1197C4⋊C4C23×D5913yes—
1198C4⋊C4C23×D5913yes—
1199C4⋊C4C23×D5916yes—
1200C4⋊C4C23×D5911yescharacteristic
1201C4⋊C4C23×D5911yescharacteristic
1202C4⋊C4C23×D5916yes—
1203C4⋊C4C23×D5916yes—
1204C22⋊C4—596no—
1205C22⋊C4—596no—
1206C22⋊C4—596no—
1207C22⋊C4—592no—
1208C22⋊C4—596no—
1209C22⋊C4—596no—
1210C22⋊C4—596no—
1211C22⋊C4—596no—
1212C22⋊C4—596no—
1213C22⋊C4—596no—
1214C22⋊C4—596no—
1215C22⋊C4—5912no—
1216C22⋊C4—596no—
1217C22⋊C4—596no—
1218C22⋊C4—596no—
1219C22⋊C4—5912no—
1220C22⋊C4—596no—
1221C22⋊C4—596no—
1222C22⋊C4—596no—
1223C22⋊C4—596no—
1224C22⋊C4—596no—
1225C22⋊C4C23×D59112yes—
1226C22⋊C4C23×D59112yes—
1227C22⋊C4C23×D5912yes—
1228C22⋊C4C23×D5916yes—
1229C22⋊C4C23×D5916yes—
1230C42—591no—
1231C42—591no—
1232C42—593no—
1233C42—593no—
1234C42—593no—
1235C42—593no—
1236C42—593no—
1237C42—593no—
1238C42—593no—
1239C42—593no—
1240C42—596no—
1241C42—596no—
1242C42—591no—
1243C42—591no—
1244C42—592no—
1245C42C23×D5913yes—
1246C42C23×D5913yes—
1247C42C23×D5916yes—
1248C42C23×D5916yes—
1249C42C23×D5913yes—
1250C42C23×D5913yes—
1251C42C23×D5912yes—
1252C23—593no—
1253C23—596no—
1254C23—593no—
1255C23—11824no—
1256C23—1186no—
1257C23—1186no—
1258C23—23612no—
1259C23—23612no—
1260C23—2363no—
1261C23C24×D5916yes—
1262C23C24×D5911yescharacteristic
1263Q8—26no—
1264Q8—26no—
1265Q8—1184no—
1266Q8—1184no—
1267Q8—1186no—
1268Q8—23612no—
1269Q8#41×D5914yescomplemented
1270D4—212no—
1271D4—212no—
1272D4—26no—
1273D4—46no—
1274D4—5912no—
1275D4—11812no—
1276D4—11812no—
1277D4—11812no—
1278D4—11812no—
1279D4—11812no—
1280D4—11812no—
1281D4—11812no—
1282D4—1186no—
1283D4—1186no—
1284D4—2366no—
1285D4—23612no—
1286D4—2366no—
1287D4—23612no—
1288D4—23612no—
1289D4—2366no—
1290C2×C4—26no—
1291C2×C4—212no—
1292C2×C4—212no—
1293C2×C4—43no—
1294C2×C4—46no—
1295C2×C4—591no—
1296C2×C4—591no—
1297C2×C4—5912no—
1298C2×C4—591no—
1299C2×C4—591no—
1300C2×C4—592no—
1301C2×C4—592no—
1302C2×C4—593no—
1303C2×C4—593no—
1304C2×C4—596no—
1305C2×C4—1186no—
1306C2×C4—1186no—
1307C2×C4—1186no—
1308C2×C4—1186no—
1309C2×C4—1182no—
1310C2×C4—1182no—
1311C2×C4—1186no—
1312C2×C4—1186no—
1313C2×C4—11812no—
1314C2×C4—1186no—
1315C2×C4—1186no—
1316C2×C4—1186no—
1317C2×C4—1186no—
1318C2×C4—11812no—
1319C2×C4—2363no—
1320C2×C4—2363no—
1321C2×C4—23612no—
1322C2×C4—23612no—
1323C2×C4—2366no—
1324C2×C4—23612no—
1325C2×C4#1427377314yescomplemented
1326C2×C4C24×D5913yes—
1327C2×C4C24×D5913yes—
1328C2×C4C24×D5913yes—
1329C2×C4C24×D5912yes—
1330C2×C4C24×D5912yes—
1331C2×C4C24×D5916yes—
1332C2×C4C24×D5913yes—
1333C2×C4C24×D5911yescharacteristic
1334C2×C4C24×D5911yescharacteristic
1335C22—21no—
1336C22—21no—
1337C22—26no—
1338C22—26no—
1339C22—26no—
1340C22—596no—
1341C22—1183no—
1342C22—1183no—
1343C22—1183no—
1344C22—1186no—
1345C22—1183no—
1346C22—1186no—
1347C22—1183no—
1348C22—1186no—
1349C22—47224no—
1350C22—23612no—
1351C22C2×#1427377312yes—
1352C22C25×D5911yescharacteristic
1353C4—22no—
1354C4—23no—
1355C4—26no—
1356C4—23no—
1357C4—22no—
1358C4—23no—
1359C4—592no—
1360C4—592no—
1361C4—1181no—
1362C4—1182no—
1363C4—1183no—
1364C4—1183no—
1365C4—1186no—
1366C4—1181no—
1367C4—1182no—
1368C4C2×#41×D5916yes—
1369C4C2×#1427377312yes—
1370C4C2×#1427377312yes—
1371C2—22no—
1372C2—46no—
1373C2—1186no—
1374C2—2366no—
1375C2—2363no—
1376C2C22×#41×D5911yescharacteristic
1377C2C22×#1427377311yescharacteristic
1378C2#585×D5911yescharacteristic
subgroupG/H
centerC2×C4C24×D59
commutator, socle, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC59×#3480C2
hypercenter#3480D59
hypocenterC59#62800
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ #3480

Complements

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

NH ≅ G/Ntype
1. #21438172C2semidirect
2. #21438124C2semidirect
3. #21438103C2semidirect
4. #21438097C2semidirect
5. #21438060C2semidirect
6. #21438056C2semidirect
7. #21438000C2semidirect
8. #21437969C2semidirect
9. #21437913C2semidirect
10. #21437873C2semidirect
11. #21437827C2semidirect
12. #21437762C2semidirect
13. #21437722C2semidirect
14. #21437702C2semidirect
15. #21437691C2semidirect
16. #41×D236C2semidirect
17. #21437582C2semidirect
18. #21437517C2semidirect
19. #21437389C2semidirect
20. #532×D59C2semidirect
21. C4×#14273773C2semidirect
22. C2×C4×#11745689C2semidirect
23. C59×#3480C2semidirect
26. C2×#41×D59C22semidirect
27. #16838137C22semidirect
28. #16838134C22semidirect
29. Q8×Dic118C22semidirect
30. #16838131C22semidirect
31. #16838125C22semidirect
32. #16838117C22semidirect
33. #16838115C22semidirect
34. #16838115C22semidirect
35. #16838110C22semidirect
36. #16838108C22semidirect
37. #16838105C22semidirect
38. #16838104C22semidirect
39. #16838103C22semidirect
40. #16838100C22semidirect
41. #16838077C22semidirect
42. #16838075C22semidirect
43. #16838074C22semidirect
44. #16838074C22semidirect
45. #16838074C22semidirect
46. #16838073C22semidirect
47. #16838072C22semidirect
48. #16838071C22semidirect
49. #16838071C22semidirect
50. Q8×D236C22semidirect
51. #16838067C22semidirect
52. #16838064C22semidirect
53. #16838063C22semidirect
54. #16838060C22semidirect
55. #16838056C22semidirect
56. #16838056C22semidirect
57. #16838055C22semidirect
58. #16838052C22semidirect
59. #16838047C22semidirect
60. #16838047C22semidirect
61. #16838045C22semidirect
62. #16838045C22semidirect
63. #16838044C22semidirect
64. #16838043C22semidirect
65. #16838041C22semidirect
66. D4×D236C22semidirect
67. D4×D236C22semidirect
68. #16838037C22semidirect
69. #16838036C22semidirect
70. #16838036C22semidirect
71. #16838032C22semidirect
72. #16838025C22semidirect
73. #16838021C22semidirect
74. #16838018C22semidirect
75. #16838008C22semidirect
76. #16838005C22semidirect
77. #16838004C22semidirect
78. #16837991C22semidirect
79. #16837988C22semidirect
80. #16837982C22semidirect
81. #16837970C22semidirect
82. #16837968C22semidirect
83. #16837956C22semidirect
84. #16837956C22semidirect
85. #16837955C22semidirect
86. #16837953C22semidirect
87. #16837952C22semidirect
88. #16837952C22semidirect
89. #16837951C22semidirect
90. #16837950C22semidirect
91. #16837949C22semidirect
92. #16837949C22semidirect
93. #16837949C22semidirect
94. #16837949C22semidirect
95. #16837949C22semidirect
96. #16837948C22semidirect
97. #16837947C22semidirect
98. #16837947C22semidirect
99. C4⋊Q8×D59C22semidirect
100. #127×D59C22semidirect
101. #16837939C22semidirect
102. #16837939C22semidirect
103. #16837939C22semidirect
104. #16837934C22semidirect
105. #16837934C22semidirect
106. #16837932C22semidirect
107. #16837932C22semidirect
108. #16837930C22semidirect
109. #16837930C22semidirect
110. #124×D59C22semidirect
111. #16837914C22semidirect
112. #16837914C22semidirect
113. #16837911C22semidirect
114. #16837911C22semidirect
115. #16837911C22semidirect
116. #16837909C22semidirect
117. #121×D59C22semidirect
118. #121×D59C22semidirect
119. #16837885C22semidirect
121. #16837884C22semidirect
122. #16837882C22semidirect
123. #16837876C22semidirect
124. #16837874C22semidirect
125. #16837874C22semidirect
128. C4×#11745689C22semidirect
129. C4×#11745689C22semidirect
130. C4×#11745689C22semidirect
131. C4×#11745689C22semidirect
132. C4×#11745689C22semidirect
133. C4×#11745689C22semidirect
134. C4×#11745689C22semidirect
135. C4×#11745685C22semidirect
136. C4×#11745685C22semidirect
137. C4×#11745685C22semidirect
138. C2×Q8×Dic59C22semidirect
139. C2×C4×D236C22semidirect
140. C2×C4×D236C22semidirect
141. C2×#14273689C22semidirect
142. C4×D4×D59C22semidirect
143. C4×D4×D59C22semidirect
144. C4×D4×D59C22semidirect
145. C2×#14273685C22semidirect
146. C2×C42×D59C22semidirect
147. C59×#559C22semidirect
148. C59×#557C22semidirect
149. C59×#556C22semidirect
150. C59×#553C22semidirect
151. C59×#550C22semidirect
152. C59×#548C22semidirect
153. C59×#532C22semidirect
154. C59×#529C22semidirect
155. C4×#41×C59C22semidirect
156. C4×#41×C59C22semidirect
157. C2×C4×Q8×C59C22semidirect
435. #11745689#41semidirect
575. Q8×C59C2×#41semidirect
585. C2×C4×C59H(5,𝔽2)semidirect
623. D236C2×#41semidirect
640. C4×D59C2×#41semidirect
697. #3480D59semidirect
718. #559C2×D59semidirect
721. #557C2×D59semidirect
723. #556C2×D59semidirect
733. #553C2×D59semidirect
743. #550C2×D59semidirect
749. #548C2×D59semidirect
794. #532C2×D59semidirect
806. #529C2×D59semidirect
835. C4×#41C2×D59semidirect
836. C4×#41C2×D59semidirect
838. C2×C4×Q8C2×D59semidirect
847. C59#62800semidirect
1269. Q8#41×D59semidirect
1325. C2×C4#14273773semidirect

Maximal subgroups

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

subgroupindex
#214381722
#214381242
#214381032
#214380972
#214380602
#214380562
#214380002
#214379692
#214379132
#214378732
#214378272
#214377622
#214377222
#214377022
#214376912
#41×D2362
#214375822
#214375172
#214373892
#532×D592
C4×#142737732
C2×C4×#117456892
C59×#34802
#6280059