Finite Group Databasebeta

← #29497196

Subgroups — #29497196

Order 15104.

7220 conjugacy classes of subgroups.

The subgroup lattice has 1360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438194C212yesmaximal, complemented
2#21438149C216yesmaximal, complemented
3#21438078C212yesmaximal, complemented
4#21438021C216yesmaximal, complemented
5#21438017C213yesmaximal, complemented
6#21437991C213yesmaximal, complemented
7#21437918C211yesmaximal, characteristic, complemented
8#21437884C211yesmaximal, characteristic, complemented
9#21437850C213yesmaximal, complemented
10#21437825C213yesmaximal, complemented
11#21437776C211yesmaximal, characteristic, complemented
12#21437712C212yesmaximal, complemented
13#21437697C216yesmaximal, complemented
14#21437695C212yesmaximal, complemented
15#21437647C216yesmaximal, complemented
16#21437524C213yesmaximal, complemented
17#21437509C213yesmaximal, complemented
18#21437388C213yesmaximal, complemented
19C2×#16837933C213yesmaximal, complemented
20#21437307C211yesmaximal, characteristic, complemented
21H(5,𝔽2)×Dic59C211yesmaximal, characteristic, complemented
22C2×#41×Dic59C211yesmaximal, characteristic, complemented
23C59×#3488C211yesmaximal, characteristic, complemented
24C2×#14273774C2211yescharacteristic
25#16838138C2216yescomplemented
26#16838138C2216yescomplemented
27#16838131C2212yescomplemented
28#16838128C2212yescomplemented
29#16838122C2216yescomplemented
30#16838121C2216yescomplemented
31#16838121C2216yescomplemented
32#16838116C2216yescomplemented
33#16838111C2216yescomplemented
34#16838109C2216yescomplemented
35#16838109C2216yescomplemented
36#16838104C22112yescomplemented
37#16838104C2216yescomplemented
38#16838104C2216yescomplemented
39#16838099C2216yescomplemented
40#16838099C2216yescomplemented
41#16838095C22112yescomplemented
42#16838094C2216yescomplemented
43#16838092C2216yescomplemented
44#16838092C2216yescomplemented
45#16838089C22112yescomplemented
46#16838086C2216yescomplemented
47#16838083C22112yescomplemented
48#16838083C22112yescomplemented
49#16838083C22112yescomplemented
50#16838078C22112yescomplemented
51Q8×C22⋊D59C2212yescomplemented
52#16838059C2212yescomplemented
53#16838059C2212yescomplemented
54#16838059C2212yescomplemented
55#16838052C2216yescomplemented
56#16838051C2216yescomplemented
57#16838046C2216yescomplemented
58#16838046C22112yescomplemented
59#16838046C2216yescomplemented
60#16838046C2216yescomplemented
61#16838033C2213yescomplemented
62#16838030C2213yescomplemented
63#16838021C2216yescomplemented
64#16838019C2216yescomplemented
65#16838019C2216yescomplemented
66#16838019C2216yescomplemented
67#16838012C2216yescomplemented
68#16838012C2216yescomplemented
69#16838006C2216yescomplemented
70#16838005C2216yescomplemented
71#16837997C22112yescomplemented
72#16837987C22112yescomplemented
73#16837980C2213yescomplemented
74#16837973C2213yescomplemented
75#16837973C2213yescomplemented
76#16837969C2213yescomplemented
77#16837955C2213yescomplemented
78#16837954C2216yescomplemented
79#16837954C2213yescomplemented
80#16837954C2213yescomplemented
81#16837950C2216yescomplemented
82#16837948C2213yescomplemented
83#16837947C2213yescomplemented
84#16837947C2213yescomplemented
85#16837938C2213yescomplemented
86#16837938C2211yescharacteristic, complemented
87#16837933C2216yescomplemented
88#16837933C22112yescomplemented
89#16837933C2216yescomplemented
90#16837933C2213yescomplemented
91#16837933C2216yescomplemented
92#16837933C2216yescomplemented
93#16837933C2216yescomplemented
94#16837933C2216yescomplemented
95#16837933C2213yescomplemented
96#16837933C2216yescomplemented
97#16837933C2216yescomplemented
98#16837932C2216yescomplemented
99#16837932C2216yescomplemented
100#16837931C2216yescomplemented
101#16837929C2216yescomplemented
102#16837929C2216yescomplemented
103C2×#14273720C2216yescomplemented
104C2×#14273718C2213yescomplemented
105C2×#14273714C2213yescomplemented
106#16837913C2213yescomplemented
107#16837908C2216yescomplemented
108#16837908C22112yescomplemented
109#16837908C2216yescomplemented
110C2×#14273708C2216yescomplemented
111C2×#14273706C2213yescomplemented
112#16837885C2211yescharacteristic
113#16837885C2213yescomplemented
114#16837885C2212yescomplemented
115#16837883C2213yescomplemented
116#16837881C2216yescomplemented
117#16837879C2213yescomplemented
118#16837878C2212yescomplemented
119#16837877C2213yescomplemented
120#16837877C2216yescomplemented
121#41×Dic59C2211yescharacteristic
122#41×Dic59C2211yescharacteristic
123#41×Dic59C2212yescomplemented
124#41×Dic59C2213yescomplemented
125#41×Dic59C2213yescomplemented
126#41×Dic59C2213yescomplemented
127#41×Dic59C2213yescomplemented
128#41×Dic59C2213yescomplemented
129#41×Dic59C2211yescharacteristic, complemented
130#41×Dic59C2211yescharacteristic, complemented
131#16837870C2213yescomplemented
132C4×#11745687C2216yescomplemented
133C4×#11745687C2216yescomplemented
134C4×#11745687C2216yescomplemented
135C2×Q8×Dic59C2211yescharacteristic, complemented
136C2×Q8×Dic59C2211yescharacteristic, complemented
137C2×#14273692C2213yescomplemented
138C4×Q8×D59C2212yescomplemented
139C2×D4×Dic59C2213yescomplemented
140C2×D4×Dic59C2216yescomplemented
141C2×D4×Dic59C2216yescomplemented
142C2×D4×Dic59C2213yescomplemented
143C2×D4×Dic59C2213yescomplemented
144C2×#14273686C2213yescomplemented
145C2×#14273683C2216yescomplemented
146C22×C4×Dic59C2213yescomplemented
147C2×H(5,𝔽2)×C59C2211yescharacteristic
148C22×#41×C59C2211yescharacteristic
149C59×#550C2212yes—
150C59×#548C2212yes—
151C59×#546C2216yes—
152D42×C59C2216yes—
153C59×#537C2213yes—
154C59×#535C2213yes—
155C59×#525C2213yes—
156C2×#121×C59C2213yes—
157C59×#520C2211yescharacteristic
158#14273774—28no—
159C2×#11745685C2313yes—
160C2×#11745687C2316yes—
161C2×#11745687C2316yes—
162C2×#11745687C2316yes—
163C22×Dic118C2313yes—
164C2×Q8×D59C2312yes—
165C23×Dic59C2313yes—
166C23×Dic59C2313yes—
167C23×Dic59C2316yes—
168#14273727C2316yes—
169#14273726C2313yes—
170#14273726C2313yes—
171#14273726C2316yes—
172#14273725C2313yes—
173#14273725C2316yes—
174#14273723C2313yes—
175#14273722C2312yes—
176#14273722C2316yes—
177#14273720C2316yes—
178#14273720C23112yes—
179#14273720C23112yes—
180#14273720C23112yes—
181#14273720C2316yes—
182#14273720C23112yes—
183#14273720C23112yes—
184#14273720C23112yes—
185#14273720C23112yes—
186#14273719C2316yes—
187#14273718C2313yes—
188#14273718C2316yes—
189#14273718C2316yes—
190#14273718C2316yes—
191#14273718C2311yescharacteristic
192#14273718C23112yes—
193#14273718C2316yes—
194#14273717C2316yes—
195#14273717C2316yes—
196#14273717C23112yes—
197#14273716C2311yescharacteristic
198#14273714C2313yes—
199#14273714C2316yes—
200#14273714C2316yes—
201#14273714C2316yes—
202#14273714C2316yes—
203#14273714C23112yes—
204#14273714C23112yes—
205#14273713C2316yes—
206#14273713C2316yes—
207#14273711C2312yes—
208#14273711C2316yes—
209#14273711C23112yes—
210#14273710C2316yes—
211#14273709C23112yes—
212#14273708C2316yes—
213#14273708C23112yes—
214#14273708C23112yes—
215#14273708C23112yes—
216#14273708C2316yes—
217#14273708C23112yes—
218#14273708C23112yes—
219#14273708C23112yes—
220#14273708C23112yes—
221#14273706C2313yes—
222#14273706C2316yes—
223#14273706C2316yes—
224#14273706C2316yes—
225#14273706C2313yes—
226#14273706C2316yes—
227#14273706C23112yes—
228#14273706C2316yes—
229#14273704C2316yes—
230#14273704C2316yes—
231#14273704C2316yes—
232#14273704C2316yes—
233#14273704C23112yes—
234#14273704C23112yes—
235#14273704C23112yes—
236#14273703C2316yes—
237#14273701C2311yescharacteristic
238#14273701C2313yes—
239#14273699C2316yes—
240#14273699C2316yes—
241#14273699C2316yes—
242#14273699C2316yes—
243#14273699C23112yes—
244#14273699C23112yes—
245#14273698C2316yes—
246#14273698C2316yes—
247#14273698C2316yes—
248#14273698C23112yes—
249#14273696C2316yes—
250#14273696C23112yes—
251Q8×Dic59C2313yes—
252Q8×Dic59C2311yescharacteristic
253Q8×Dic59C2313yes—
254Q8×Dic59C2313yes—
255Q8×Dic59C2311yescharacteristic
256Q8×Dic59C2311yescharacteristic
257Q8×Dic59C2312yes—
258Q8×Dic59C2313yes—
259Q8×Dic59C2313yes—
260Q8×Dic59C2311yescharacteristic
261Q8×Dic59C2311yescharacteristic
262C4×Dic118C2316yes—
263C4×Dic118C2316yes—
264C4×Dic118C2316yes—
265C4×Dic118C2316yes—
266#14273692C2316yes—
267#14273692C2316yes—
268#14273692C2316yes—
269#14273692C2313yes—
270#14273692C2316yes—
271#14273692C2316yes—
272#14273692C2313yes—
273D4×Dic59C2316yes—
274D4×Dic59C2316yes—
275D4×Dic59C2316yes—
276D4×Dic59C23112yes—
277D4×Dic59C2316yes—
278D4×Dic59C2316yes—
279D4×Dic59C2316yes—
280D4×Dic59C2313yes—
281D4×Dic59C2313yes—
282D4×Dic59C2316yes—
283D4×Dic59C2316yes—
284D4×Dic59C23112yes—
285D4×Dic59C23112yes—
286D4×Dic59C2313yes—
287D4×Dic59C2316yes—
288D4×Dic59C2313yes—
289D4×Dic59C2313yes—
290D4×Dic59C2313yes—
291D4×Dic59C2316yes—
292D4×Dic59C2316yes—
293D4×Dic59C2316yes—
294D4×Dic59C2316yes—
295D4×Dic59C23112yes—
296D4×Dic59C2313yes—
297D4×Dic59C2313yes—
298D4×Dic59C2316yes—
299D4×Dic59C2313yes—
300D4×Dic59C2313yes—
301#14273689C2311yescharacteristic
302#14273689C2313yes—
303C4×C22⋊D59C2316yes—
304C4×C22⋊D59C2316yes—
305C4×C22⋊D59C2316yes—
306C4×C22⋊D59C2316yes—
307C4×C22⋊D59C23112yes—
308(C22⋊D59)⋊C4C2316yes—
309(C22⋊D59)⋊C4C2312yes—
310(C22⋊D59)⋊C4C2316yes—
311(C22⋊D59)⋊C4C2316yes—
312(C22⋊D59)⋊C4C2316yes—
313(C22⋊D59)⋊C4C2316yes—
314#14273686C2313yes—
315#14273686C2316yes—
316#14273686C2313yes—
317#14273686C2316yes—
318#14273686C2316yes—
319#14273686C2316yes—
320#14273686C2313yes—
321#14273686C2313yes—
322#14273686C2313yes—
323#14273685C2312yes—
324#14273685C2316yes—
325#14273685C2316yes—
326#14273684C2316yes—
327#14273683C23112yes—
328#14273683C2316yes—
329#14273683C2316yes—
330#14273683C2316yes—
331#14273683C2316yes—
332#14273683C23112yes—
333#14273683C23112yes—
334#14273683C23112yes—
335C2×C4⋊Dic59C2313yes—
336C2×C4⋊Dic59C2316yes—
337C2×C4⋊Dic59C2313yes—
338C2×C4⋊Dic59C2316yes—
339C2×C4⋊Dic59C2313yes—
340C2×Dic59⋊C4C2316yes—
341C2×Dic59⋊C4C2316yes—
342C2×Dic59⋊C4C2316yes—
343C4⋊C4×D59C2316yes—
344C2×C22⋊Dic59C2316yes—
345C2×C22⋊Dic59C2316yes—
346C2×C22⋊Dic59C2316yes—
347C2×C22⋊Dic59C2316yes—
348C2×C22⋊Dic59C2316yes—
349C2×C22⋊Dic59C23112yes—
350C2×C4×Dic59C2313yes—
351C2×C4×Dic59C2313yes—
352C2×C4×Dic59C2313yes—
353C2×C4×Dic59C2313yes—
354C2×C4×Dic59C2313yes—
355C2×C4×Dic59C2311yescharacteristic
356C2×C4×Dic59C2313yes—
357C2×C4×Dic59C2313yes—
358C2×C4×Dic59C2313yes—
359C2×C4×Dic59C2313yes—
360C2×C4×Dic59C2313yes—
361C2×C4×Dic59C2316yes—
362C2×C4×Dic59C2316yes—
363C2×C4×Dic59C2313yes—
364C42×D59C2316yes—
365H(5,𝔽2)×C59—28no—
366C2×#41×C59—28no—
367C2×#41×C59C2313yes—
368C2×#41×C59C2313yes—
369C2×#41×C59C2313yes—
370C2×#41×C59C2312yes—
371C2×#41×C59C2311yescharacteristic
372C2×#41×C59C2311yescharacteristic
373C22×Q8×C59C2311yescharacteristic
374C22×D4×C59C2313yes—
375C22×D4×C59C2313yes—
376C22×D4×C59C2316yes—
377C22×D4×C59C2316yes—
378C23×C4×C59C2313yes—
379#127×C59C2316yes—
380#124×C59C2316yes—
381#123×C59C2316yes—
382C22⋊Q8×C59C2311yescharacteristic
383C22⋊Q8×C59C2313yes—
384C22⋊Q8×C59C2316yes—
385#121×C59C2313yes—
386#121×C59C2316yes—
387#121×C59C2316yes—
388#121×C59C2316yes—
389#121×C59C2313yes—
390#121×C59C23112yes—
391#121×C59C2316yes—
392#120×C59C2316yes—
393#120×C59C23112yes—
394C4×Q8×C59C2312yes—
395C4×D4×C59C2316yes—
396C4×D4×C59C2316yes—
397C4×D4×C59C2316yes—
398#117×C59C2313yes—
399C2×C4⋊C4×C59C2313yes—
400C2×C22⋊C4×C59C2316yes—
401C24×C59C2413yes—
402C24×C59C2416yes—
403#41×C59—24no—
404#41×C59—28no—
405#41×C59—212no—
406#41×C59—212no—
407#41×C59—212no—
408#41×C59#4118yescomplemented
409C2×Q8×C59—24no—
410C2×Q8×C59C2411yescharacteristic
411C2×Q8×C59C2413yes—
412C2×Q8×C59C2411yescharacteristic
413C2×D4×C59—212no—
414C2×D4×C59—224no—
415C2×D4×C59—212no—
416C2×D4×C59—412no—
417C2×D4×C59C2416yes—
418C2×D4×C59C2416yes—
419C2×D4×C59C2416yes—
420C2×D4×C59C2413yes—
421C2×D4×C59C2416yes—
422C2×D4×C59C2413yes—
423C2×D4×C59C2416yes—
424C2×D4×C59C24112yes—
425C2×D4×C59C2413yes—
426C22×C4×C59—212no—
427C22×C4×C59C2413yes—
428C22×C4×C59C2413yes—
429C22×C4×C59C2413yes—
430C22×C4×C59C2416yes—
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2413yes—
433C22×C4×C59C2416yes—
434C22×C4×C59C2413yes—
435C2×C22⋊D59C2416yes—
436C2×C22⋊D59C2412yes—
437C2×C22⋊D59C2416yes—
438C2×C22⋊D59C2416yes—
439C2×C22⋊D59C2416yes—
440C22×Dic59—46no—
441C22×Dic59—412no—
442C22×Dic59—46no—
443C22×Dic59C2413yes—
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2413yes—
447C22×Dic59C2413yes—
448C22×Dic59C2416yes—
449C22×Dic59C2416yes—
450C22×Dic59C2413yes—
451C22×Dic59C2413yes—
452C22×Dic59C2413yes—
453C22×Dic59C2413yes—
454C22×Dic59C2413yes—
455C22×Dic59C2413yes—
456C22×Dic59C2413yes—
457C22×Dic59C2416yes—
458C22×Dic59C2416yes—
459C22×Dic59C24112yes—
460Q8×D59—28no—
461#11745687—224no—
462#11745687—412no—
463#11745687—412no—
464#11745685—212no—
465C2×D236C2411yescharacteristic
466C2×C4×D59C2412yes—
467C2×C4×D59C2416yes—
468C2×C4×D59C2416yes—
469C2×Dic118—212no—
470C2×Dic118C2413yes—
471C2×Dic118C2416yes—
472C2×Dic118C2416yes—
473C2×Dic118C2416yes—
474C4⋊C4×C59C2413yes—
475C4⋊C4×C59C2416yes—
476C4⋊C4×C59C2411yescharacteristic
477C4⋊C4×C59C2412yes—
478C4⋊C4×C59C2416yes—
479C22⋊C4×C59C2416yes—
480C22⋊C4×C59C24112yes—
481C22⋊C4×C59C2416yes—
482C22⋊C4×C59C2412yes—
483C22⋊C4×C59C2416yes—
484C22⋊C4×C59C2416yes—
485C42×C59C2416yes—
486C22⋊Dic59C2416yes—
487C22⋊Dic59C2416yes—
488C22⋊Dic59C2416yes—
489C22⋊Dic59C2416yes—
490C22⋊Dic59C2416yes—
491C22⋊Dic59C24112yes—
492C22⋊Dic59C2416yes—
493C22⋊Dic59C2416yes—
494C22⋊Dic59C24112yes—
495C22⋊Dic59C2416yes—
496C22⋊Dic59C2416yes—
497C22⋊Dic59C2416yes—
498C22⋊Dic59C24112yes—
499C22⋊Dic59C24112yes—
500C22⋊Dic59C2416yes—
501(C2×D59)⋊C4C2412yes—
502(C2×D59)⋊C4C2416yes—
503(C2×D59)⋊C4C2412yes—
504(C2×D59)⋊C4C2412yes—
505(C2×D59)⋊C4C2412yes—
506(C2×D59)⋊C4C2416yes—
507C4⋊Dic59C2413yes—
508C4⋊Dic59C2413yes—
509C4⋊Dic59C2416yes—
510C4⋊Dic59C2416yes—
511C4⋊Dic59C2413yes—
512C4⋊Dic59C2416yes—
513C4⋊Dic59C2413yes—
514C4⋊Dic59C2413yes—
515C4⋊Dic59C2416yes—
516C4⋊Dic59C2416yes—
517C4⋊Dic59C24112yes—
518C4⋊Dic59C2412yes—
519C4⋊Dic59C2411yescharacteristic
520C4⋊Dic59C2412yes—
521Dic59⋊C4C24112yes—
522Dic59⋊C4C2416yes—
523Dic59⋊C4C2416yes—
524Dic59⋊C4C2416yes—
525Dic59⋊C4C24112yes—
526Dic59⋊C4C24112yes—
527Dic59⋊C4C2412yes—
528Dic59⋊C4C2416yes—
529Dic59⋊C4C2416yes—
530Dic59⋊C4C2416yes—
531Dic59⋊C4C2416yes—
532Dic59⋊C4C2416yes—
533Dic59⋊C4C2416yes—
534C4×Dic59C2413yes—
535C4×Dic59C2416yes—
536C4×Dic59C2416yes—
537C4×Dic59C2411yescharacteristic
538C4×Dic59C2411yescharacteristic
539C4×Dic59C2411yescharacteristic
540C4×Dic59C2411yescharacteristic
541C4×Dic59C2413yes—
542C4×Dic59C2413yes—
543C4×Dic59C2413yes—
544C4×Dic59C2412yes—
545C4×Dic59C2413yes—
546C4×Dic59C2413yes—
547C4×Dic59C2413yes—
548C4×Dic59C2413yes—
549C4×Dic59C2413yes—
550C4×Dic59C2413yes—
551C4×Dic59C2413yes—
552C4×Dic59C2413yes—
553C4×Dic59C24112yes—
554C4×Dic59C2416yes—
555C4×Dic59C2416yes—
556C23×C59—26no—
557C23×C59—26no—
558C23×C59—212no—
559C23×C59—43no—
560C23×C59—46no—
561C23×C59—46no—
562C23×C59C2516yes—
563C23×C59C2513yes—
564C23×C59C2513yes—
565C23×C59C2511yescharacteristic
566C22×D59C2512yes—
567Q8×C59—26no—
568Q8×C59—22no—
569Q8×C59C2×#4114yes—
570D4×C59—212no—
571D4×C59—212no—
572D4×C59—212no—
573D4×C59—26no—
574D4×C59—212no—
575D4×C59—26no—
576D4×C59—46no—
577D4×C59—412no—
578D4×C59C2×#41112yes—
579C2×C4×C59—26no—
580C2×C4×C59—22no—
581C2×C4×C59—26no—
582C2×C4×C59—26no—
583C2×C4×C59—26no—
584C2×C4×C59—212no—
585C2×C4×C59—46no—
586C2×C4×C59C2×#41112yes—
587C2×C4×C59C2511yescharacteristic
588C2×C4×C59C2513yes—
589C2×C4×C59C2512yes—
590C2×C4×C59C2516yes—
591C2×C4×C59C2512yes—
592C2×C4×C59C2511yescharacteristic
593C2×C4×C59C2513yes—
594C22⋊D59—212no—
595C22⋊D59—24no—
596C22⋊D59—46no—
597C22⋊D59—46no—
598C22⋊D59—46no—
599C2×Dic59—212no—
600C2×Dic59—26no—
601C2×Dic59—22no—
602C2×Dic59—26no—
603C2×Dic59—212no—
604C2×Dic59—22no—
605C2×Dic59—26no—
606C2×Dic59—46no—
607C2×Dic59—43no—
608C2×Dic59—43no—
609C2×Dic59—43no—
610C2×Dic59—43no—
611C2×Dic59—46no—
612C2×Dic59—412no—
613C2×Dic59—43no—
614C2×Dic59—43no—
615C2×Dic59—43no—
616C2×Dic59C2511yescharacteristic
617C2×Dic59C2511yescharacteristic
618C2×Dic59C2513yes—
619C2×Dic59C2511yescharacteristic
620C2×Dic59C2513yes—
621C2×Dic59C2516yes—
622C2×Dic59C2513yes—
623C2×Dic59C2512yes—
624C2×Dic59C2513yes—
625C2×Dic59C2516yes—
626C2×Dic59C2511yescharacteristic
627D236—22no—
628C4×D59—212no—
629C4×D59—24no—
630C4×D59—46no—
631Dic118—26no—
632Dic118—212no—
633Dic118—46no—
634Dic118—46no—
635#62810—591nomaximal, Sylow
636C22×C59—21no—
637C22×C59—21no—
638C22×C59—23no—
639C22×C59—23no—
640C22×C59—23no—
641C22×C59—26no—
642C22×C59—26no—
643C22×C59—23no—
644C22×C59—23no—
645C22×C59—26no—
646C22×C59—412no—
647C22×C59—812no—
648C22×C59C22×#4116yes—
649C22×C59#58512yes—
650C22×C59C2611yescharacteristic
651C2×D59—22no—
652C2×D59—22no—
653C2×D59—22no—
654C4×C59—21no—
655C4×C59—22no—
656C4×C59—23no—
657C4×C59—22no—
658C4×C59—26no—
659C4×C59C22×#4112yes—
660C4×C59C22×#4116yes—
661Dic59—26no—
662Dic59—22no—
663Dic59—23no—
664Dic59—23no—
665Dic59—26no—
666Dic59—23no—
667Dic59—21no—
668Dic59—23no—
669Dic59—21no—
670Dic59—21no—
671Dic59#58512yes—
672#3524—592no—
673#3521—596no—
674#3516—592no—
675#3513—596no—
676#3512—593no—
677#3510—593no—
678#3504—591no—
679#3500—591no—
680#3495—593no—
681#3494—593no—
682#3489—591no—
683#3488D5911yescharacteristic, complemented
684#3482—592no—
685#3481—596no—
686#3480—592no—
687#3475—596no—
688#3461—593no—
689#3460—593no—
690#3444—593no—
691C2×#529—593no—
692C4×2−1+4—591no—
693C4×H(5,𝔽2)—591no—
694C2×C4×#41—591no—
695C2×C59—22no—
696C2×C59—26no—
697C2×C59—43no—
698C2×C59—46no—
699C2×C59C23×#4111yescharacteristic
700C2×C59C2×#58511yescharacteristic
701C2×C59C2×#58511yescharacteristic
702D59—42no—
703C2×2−1+4—591no—
704C2×H(5,𝔽2)C2×D5911yescharacteristic
705C22×#41C2×D5911yescharacteristic
706#559—596no—
707#559—596no—
708#557—592no—
709#557—592no—
710#556—596no—
711#556—596no—
712#556—596no—
713#555—596no—
714#554—596no—
715#554—596no—
716#554—596no—
717#553—5912no—
718#553—596no—
719#553—596no—
720#553—596no—
721#553—5912no—
722#553—596no—
723#552—5912no—
724#552—596no—
725#552—596no—
726#552—596no—
727#552—596no—
728#551—5912no—
729#551—5912no—
730#551—5912no—
731#551—5912no—
732#550C2×D5912yes—
733D4×Q8—592no—
734#548—592no—
735#548—592no—
736#548—592no—
737#548C2×D5912yes—
738#547—596no—
739#547—596no—
740#546—596no—
741#546—596no—
742#546—5912no—
743#546—596no—
744#546C2×D5916yes—
745D42C2×D5916yes—
746#544—593no—
747#544—593no—
748#542—596no—
749#542—596no—
750#542—596no—
751#542—596no—
752#541—596no—
753#541—596no—
754#540—596no—
755#540—596no—
756#539—5912no—
757#538—5912no—
758#537—593no—
759#537C2×D5913yes—
760#536—593no—
761#536—593no—
762#535—593no—
763#535C2×D5913yes—
764#533—593no—
765#533—593no—
766#533—596no—
767#533—593no—
768#532—593no—
769#532—596no—
770#532—593no—
771#532—593no—
772#529—596no—
773#529—596no—
774#529—596no—
775#529—591no—
776#529—593no—
777#529—593no—
778#529—596no—
779#529—596no—
780#529—596no—
781#529—596no—
782#529—596no—
783#529—596no—
784#529—596no—
785#529—593no—
786#529—5912no—
787#529—596no—
788#529—596no—
789#529—596no—
790C2×#126—596no—
791C2×#125—593no—
792C2×#124—593no—
793#525—593no—
794#525—596no—
795#525—596no—
796#525—5912no—
797#525C2×D5913yes—
798C2×#123—596no—
799C2×C22⋊Q8—593no—
800C2×#121C2×D5913yes—
801#520—591no—
802#520—593no—
803#520—592no—
804#520—596no—
805#520—593no—
806#520C2×D5911yescharacteristic
807#519—592no—
808#519—593no—
809#518—593no—
810#518—596no—
811C4×#41—591no—
812C4×#41—593no—
813C4×#41—593no—
814C4×#41—591no—
815C4×#41—591no—
816C4×#41—593no—
817C4×#41—593no—
818C4×#41—591no—
819C4×#41—593no—
820C4×#41—592no—
821C4×#41—596no—
822C4×#41—596no—
823C4×#41—596no—
824C4×#41—593no—
825C2×C4×Q8—591no—
826C2×C4×Q8—591no—
827C2×C4×Q8—592no—
828C2×C4×Q8—593no—
829C2×C4×D4—593no—
830C2×C4×D4—593no—
831C2×C4×D4—593no—
832C2×C4×D4—596no—
833C2×C4×D4—596no—
834C2×#117—593no—
835C2×#117—596no—
836C22×C42—593no—
837C59#6281011yescharacteristic, complemented, Sylow
8382−1+4—1188no—
839H(5,𝔽2)—28no—
840C2×#41—28no—
841C2×#41—596no—
842C2×#41—596no—
843C2×#41—596no—
844C2×#41—593no—
845C2×#41C22×D5913yes—
846C2×#41C22×D5913yes—
847C2×#41C22×D5911yescharacteristic
848C2×#41C22×D5913yes—
849C2×#41C22×D5912yes—
850C2×#41C22×D5911yescharacteristic
851C22×Q8—592no—
852C22×Q8—593no—
853C22×Q8C22×D5911yescharacteristic
854C22×D4C22×D5913yes—
855C22×D4C22×D5913yes—
856C22×D4C22×D5916yes—
857C22×D4C22×D5916yes—
858C23×C4—596no—
859C23×C4—593no—
860C23×C4—593no—
861C23×C4C22×D5913yes—
862C4⋊Q8—593no—
863C4⋊Q8—596no—
864C4⋊Q8—593no—
865C4⋊Q8—593no—
866C4⋊Q8—596no—
867C4⋊Q8—596no—
868#127—593no—
869#127C22×D5916yes—
870#126—592no—
871#126—596no—
872#126—596no—
873#126—5912no—
874#126—5912no—
875#126—5912no—
876#126—596no—
877#126—5912no—
878#126—5912no—
879#126—5912no—
880#126—5912no—
881#125—593no—
882#125—596no—
883#125—596no—
884#125—596no—
885#125—591no—
886#125—596no—
887#125—596no—
888#125—5912no—
889#125—596no—
890#125—5912no—
891#125—596no—
892#124—591no—
893#124—593no—
894#124—596no—
895#124—596no—
896#124—596no—
897#124—596no—
898#124—5912no—
899#124—5912no—
900#124—596no—
901#124—596no—
902#124C22×D5916yes—
903#123—596no—
904#123—5912no—
905#123—5912no—
906#123—5912no—
907#123—596no—
908#123—5912no—
909#123—5912no—
910#123—5912no—
911#123—5912no—
912#123—596no—
913#123—592no—
914#123—596no—
915#123—5912no—
916#123—5912no—
917#123C22×D5916yes—
918C22⋊Q8—596no—
919C22⋊Q8—593no—
920C22⋊Q8—596no—
921C22⋊Q8—596no—
922C22⋊Q8—596no—
923C22⋊Q8—593no—
924C22⋊Q8—596no—
925C22⋊Q8—5912no—
926C22⋊Q8—596no—
927C22⋊Q8—596no—
928C22⋊Q8—596no—
929C22⋊Q8—596no—
930C22⋊Q8—596no—
931C22⋊Q8—5912no—
932C22⋊Q8—5912no—
933C22⋊Q8—5912no—
934C22⋊Q8C22×D5911yescharacteristic
935C22⋊Q8C22×D5913yes—
936C22⋊Q8C22×D5916yes—
937#121—596no—
938#121—596no—
939#121—596no—
940#121—596no—
941#121—5912no—
942#121—5912no—
943#121—596no—
944#121—596no—
945#121—596no—
946#121—5912no—
947#121—591no—
948#121—593no—
949#121C22×D5913yes—
950#121C22×D5916yes—
951#121C22×D5916yes—
952#121C22×D5916yes—
953#121C22×D5913yes—
954#121C22×D59112yes—
955#121C22×D5916yes—
956#120—596no—
957#120—5912no—
958#120C22×D5916yes—
959#120C22×D59112yes—
960C4×Q8—591no—
961C4×Q8—591no—
962C4×Q8—593no—
963C4×Q8—593no—
964C4×Q8—591no—
965C4×Q8—591no—
966C4×Q8—593no—
967C4×Q8—593no—
968C4×Q8—591no—
969C4×Q8—593no—
970C4×Q8—592no—
971C4×Q8—596no—
972C4×Q8—593no—
973C4×Q8—596no—
974C4×Q8—596no—
975C4×Q8—593no—
976C4×Q8—596no—
977C4×Q8—596no—
978C4×Q8—596no—
979C4×Q8—596no—
980C4×Q8—596no—
981C4×Q8—596no—
982C4×Q8C22×D5912yes—
983C4×D4—593no—
984C4×D4—596no—
985C4×D4—596no—
986C4×D4—596no—
987C4×D4—593no—
988C4×D4—593no—
989C4×D4—596no—
990C4×D4—593no—
991C4×D4—596no—
992C4×D4—593no—
993C4×D4—593no—
994C4×D4—593no—
995C4×D4—596no—
996C4×D4—596no—
997C4×D4—593no—
998C4×D4—593no—
999C4×D4—596no—
1000C4×D4—596no—
1001C4×D4—596no—
1002C4×D4—5912no—
1003C4×D4—596no—
1004C4×D4—5912no—
1005C4×D4—5912no—
1006C4×D4—5912no—
1007C4×D4—596no—
1008C4×D4—593no—
1009C4×D4—596no—
1010C4×D4—596no—
1011C4×D4—5912no—
1012C4×D4—596no—
1013C4×D4—596no—
1014C4×D4—596no—
1015C4×D4—596no—
1016C4×D4—591no—
1017C4×D4—593no—
1018C4×D4—592no—
1019C4×D4—596no—
1020C4×D4—596no—
1021C4×D4—596no—
1022C4×D4—596no—
1023C4×D4—596no—
1024C4×D4C22×D5916yes—
1025C4×D4C22×D5916yes—
1026C4×D4C22×D5916yes—
1027#117—593no—
1028#117—593no—
1029#117—596no—
1030#117—596no—
1031#117—593no—
1032#117—593no—
1033#117—593no—
1034#117—596no—
1035#117—596no—
1036#117—592no—
1037#117—596no—
1038#117—596no—
1039#117—596no—
1040#117—5912no—
1041#117—5912no—
1042#117—5912no—
1043#117—5912no—
1044#117—596no—
1045#117—596no—
1046#117—596no—
1047#117—596no—
1048#117C22×D5913yes—
1049C2×C4⋊C4—593no—
1050C2×C4⋊C4—593no—
1051C2×C4⋊C4—596no—
1052C2×C4⋊C4—596no—
1053C2×C4⋊C4—593no—
1054C2×C4⋊C4—596no—
1055C2×C4⋊C4—596no—
1056C2×C4⋊C4—596no—
1057C2×C4⋊C4—596no—
1058C2×C4⋊C4C22×D5913yes—
1059C2×C22⋊C4—596no—
1060C2×C22⋊C4—596no—
1061C2×C22⋊C4—596no—
1062C2×C22⋊C4—5912no—
1063C2×C22⋊C4—596no—
1064C2×C22⋊C4—596no—
1065C2×C22⋊C4C22×D5916yes—
1066C2×C42—593no—
1067C2×C42—593no—
1068C2×C42—596no—
1069C2×C42—593no—
1070C2×C42—593no—
1071C2×C42—593no—
1072C2×C42—596no—
1073C2×C42—593no—
1074C2×C42—593no—
1075C2×C42—593no—
1076C2×C42—593no—
1077C2×C42—593no—
1078C2×C42—593no—
1079C2×C42—591no—
1080C2×C42—596no—
1081C24C23×D5913yes—
1082C24C23×D5916yes—
1083#41—24no—
1084#41—28no—
1085#41—212no—
1086#41—212no—
1087#41—212no—
1088#41—11824no—
1089#41—11812no—
1090#41—23612no—
1091#41—23612no—
1092#41#1174568718yescomplemented
1093C2×Q8—24no—
1094C2×Q8—593no—
1095C2×Q8—596no—
1096C2×Q8—596no—
1097C2×Q8—596no—
1098C2×Q8—1188no—
1099C2×Q8—11812no—
1100C2×Q8C23×D5913yes—
1101C2×Q8C23×D5911yescharacteristic
1102C2×Q8C23×D5911yescharacteristic
1103C2×D4—212no—
1104C2×D4—224no—
1105C2×D4—212no—
1106C2×D4—412no—
1107C2×D4—596no—
1108C2×D4—592no—
1109C2×D4—596no—
1110C2×D4—596no—
1111C2×D4—596no—
1112C2×D4—591no—
1113C2×D4C23×D5916yes—
1114C2×D4C23×D5916yes—
1115C2×D4C23×D5916yes—
1116C2×D4C23×D5913yes—
1117C2×D4C23×D5913yes—
1118C2×D4C23×D5916yes—
1119C2×D4C23×D59112yes—
1120C2×D4C23×D5916yes—
1121C2×D4C23×D5913yes—
1122C22×C4—212no—
1123C22×C4—593no—
1124C22×C4—591no—
1125C22×C4—591no—
1126C22×C4—593no—
1127C22×C4—593no—
1128C22×C4—596no—
1129C22×C4—596no—
1130C22×C4—593no—
1131C22×C4—593no—
1132C22×C4—593no—
1133C22×C4—593no—
1134C22×C4—593no—
1135C22×C4—593no—
1136C22×C4—593no—
1137C22×C4—596no—
1138C22×C4—596no—
1139C22×C4—5912no—
1140C22×C4—592no—
1141C22×C4—596no—
1142C22×C4—596no—
1143C22×C4—2366no—
1144C22×C4—23612no—
1145C22×C4—2366no—
1146C22×C4C23×D5911yescharacteristic
1147C22×C4C23×D5913yes—
1148C22×C4C23×D5913yes—
1149C22×C4C23×D5913yes—
1150C22×C4C23×D5913yes—
1151C22×C4C23×D5916yes—
1152C22×C4C23×D5916yes—
1153C22×C4C23×D5913yes—
1154C4⋊C4—593no—
1155C4⋊C4—593no—
1156C4⋊C4—596no—
1157C4⋊C4—596no—
1158C4⋊C4—593no—
1159C4⋊C4—596no—
1160C4⋊C4—596no—
1161C4⋊C4—596no—
1162C4⋊C4—596no—
1163C4⋊C4—5912no—
1164C4⋊C4—593no—
1165C4⋊C4—593no—
1166C4⋊C4—596no—
1167C4⋊C4—596no—
1168C4⋊C4—5912no—
1169C4⋊C4—5912no—
1170C4⋊C4—5912no—
1171C4⋊C4—591no—
1172C4⋊C4—592no—
1173C4⋊C4—596no—
1174C4⋊C4—592no—
1175C4⋊C4—592no—
1176C4⋊C4—596no—
1177C4⋊C4—596no—
1178C4⋊C4—596no—
1179C4⋊C4—596no—
1180C4⋊C4—596no—
1181C4⋊C4C23×D5916yes—
1182C4⋊C4C23×D5913yes—
1183C4⋊C4C23×D5912yes—
1184C4⋊C4C23×D5916yes—
1185C4⋊C4C23×D5911yescharacteristic
1186C22⋊C4—596no—
1187C22⋊C4—596no—
1188C22⋊C4—596no—
1189C22⋊C4—596no—
1190C22⋊C4—596no—
1191C22⋊C4—5912no—
1192C22⋊C4—596no—
1193C22⋊C4—596no—
1194C22⋊C4—596no—
1195C22⋊C4—596no—
1196C22⋊C4—596no—
1197C22⋊C4—5912no—
1198C22⋊C4—5912no—
1199C22⋊C4—5912no—
1200C22⋊C4—596no—
1201C22⋊C4—592no—
1202C22⋊C4—596no—
1203C22⋊C4—592no—
1204C22⋊C4—592no—
1205C22⋊C4—592no—
1206C22⋊C4—596no—
1207C22⋊C4C23×D5916yes—
1208C22⋊C4C23×D59112yes—
1209C22⋊C4C23×D5912yes—
1210C22⋊C4C23×D5916yes—
1211C22⋊C4C23×D5916yes—
1212C22⋊C4C23×D5916yes—
1213C42—591no—
1214C42—591no—
1215C42—593no—
1216C42—591no—
1217C42—591no—
1218C42—593no—
1219C42—592no—
1220C42—596no—
1221C42—593no—
1222C42—593no—
1223C42—593no—
1224C42—593no—
1225C42—593no—
1226C42—593no—
1227C42—593no—
1228C42—593no—
1229C42—593no—
1230C42—593no—
1231C42—596no—
1232C42—5912no—
1233C42—596no—
1234C42—596no—
1235C42C23×D5916yes—
1236C23—26no—
1237C23—26no—
1238C23—212no—
1239C23—43no—
1240C23—46no—
1241C23—46no—
1242C23—592no—
1243C23C24×D5916yes—
1244C23C24×D5913yes—
1245C23C24×D5913yes—
1246C23C24×D5911yescharacteristic
1247Q8—26no—
1248Q8—22no—
1249Q8—11812no—
1250Q8—1186no—
1251Q8—2366no—
1252Q8—2366no—
1253Q8C2×#1174568714yes—
1254D4—212no—
1255D4—212no—
1256D4—212no—
1257D4—212no—
1258D4—26no—
1259D4—26no—
1260D4—412no—
1261D4—46no—
1262D4—11812no—
1263D4—1184no—
1264D4—1182no—
1265D4—2366no—
1266D4—2366no—
1267D4—2366no—
1268D4C2×#11745687112yes—
1269C2×C4—26no—
1270C2×C4—22no—
1271C2×C4—26no—
1272C2×C4—26no—
1273C2×C4—26no—
1274C2×C4—212no—
1275C2×C4—46no—
1276C2×C4—591no—
1277C2×C4—591no—
1278C2×C4—593no—
1279C2×C4—591no—
1280C2×C4—591no—
1281C2×C4—593no—
1282C2×C4—596no—
1283C2×C4—592no—
1284C2×C4—593no—
1285C2×C4—593no—
1286C2×C4—596no—
1287C2×C4—1184no—
1288C2×C4—1182no—
1289C2×C4—1186no—
1290C2×C4—11812no—
1291C2×C4—1186no—
1292C2×C4—11812no—
1293C2×C4—1182no—
1294C2×C4—1186no—
1295C2×C4—11812no—
1296C2×C4—2366no—
1297C2×C4—2363no—
1298C2×C4—23612no—
1299C2×C4—2363no—
1300C2×C4—2363no—
1301C2×C4—2366no—
1302C2×C4—2363no—
1303C2×C4—2363no—
1304C2×C4—2363no—
1305C2×C4—2363no—
1306C2×C4—2366no—
1307C2×C4C2×#11745687112yes—
1308C2×C4C24×D5911yescharacteristic
1309C2×C4C24×D5913yes—
1310C2×C4C24×D5912yes—
1311C2×C4C24×D5912yes—
1312C2×C4C24×D5916yes—
1313C2×C4C24×D5911yescharacteristic
1314C2×C4C24×D5913yes—
1315C22—21no—
1316C22—21no—
1317C22—23no—
1318C22—23no—
1319C22—23no—
1320C22—26no—
1321C22—26no—
1322C22—23no—
1323C22—23no—
1324C22—26no—
1325C22—412no—
1326C22—812no—
1327C22—1182no—
1328C22—1182no—
1329C22—1182no—
1330C22C22×#1174568716yes—
1331C22#1683823712yes—
1332C22C25×D5911yescharacteristic
1333C4—21no—
1334C4—22no—
1335C4—23no—
1336C4—22no—
1337C4—26no—
1338C4—592no—
1339C4—1186no—
1340C4—1181no—
1341C4—1183no—
1342C4—1186no—
1343C4—1183no—
1344C4—1181no—
1345C4—1181no—
1346C4—1183no—
1347C4—1183no—
1348C4—1182no—
1349C4C22×#1174568716yes—
1350C4C22×#1174568712yes—
1351C2—22no—
1352C2—26no—
1353C2—43no—
1354C2—46no—
1355C2—2362no—
1356C2C23×#1174568711yescharacteristic
1357C2#585×D5911yescharacteristic
1358C2C2×#1683823711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D59
commutator, socle, cosocleC22×C59C26
FittingC59×#3488C2
hypercenter#3488D59
hypocenterC59#62810
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C22 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. #21438194C2semidirect
2. #21438149C2semidirect
3. #21438078C2semidirect
4. #21438021C2semidirect
5. #21438017C2semidirect
6. #21437991C2semidirect
7. #21437918C2semidirect
8. #21437884C2semidirect
9. #21437850C2semidirect
10. #21437825C2semidirect
11. #21437776C2semidirect
12. #21437712C2semidirect
13. #21437697C2semidirect
14. #21437695C2semidirect
15. #21437647C2semidirect
16. #21437524C2semidirect
17. #21437509C2semidirect
18. #21437388C2semidirect
19. C2×#16837933C2semidirect
20. #21437307C2semidirect
21. H(5,𝔽2)×Dic59C2semidirect
22. C2×#41×Dic59C2semidirect
23. C59×#3488C2semidirect
25. #16838138C22semidirect
26. #16838138C22semidirect
27. #16838131C22semidirect
28. #16838128C22semidirect
29. #16838122C22semidirect
30. #16838121C22semidirect
31. #16838121C22semidirect
32. #16838116C22semidirect
33. #16838111C22semidirect
34. #16838109C22semidirect
35. #16838109C22semidirect
36. #16838104C22semidirect
37. #16838104C22semidirect
38. #16838104C22semidirect
39. #16838099C22semidirect
40. #16838099C22semidirect
41. #16838095C22semidirect
42. #16838094C22semidirect
43. #16838092C22semidirect
44. #16838092C22semidirect
45. #16838089C22semidirect
46. #16838086C22semidirect
47. #16838083C22semidirect
48. #16838083C22semidirect
49. #16838083C22semidirect
50. #16838078C22semidirect
51. Q8×C22⋊D59C22semidirect
52. #16838059C22semidirect
53. #16838059C22semidirect
54. #16838059C22semidirect
55. #16838052C22semidirect
56. #16838051C22semidirect
57. #16838046C22semidirect
58. #16838046C22semidirect
59. #16838046C22semidirect
60. #16838046C22semidirect
61. #16838033C22semidirect
62. #16838030C22semidirect
63. #16838021C22semidirect
64. #16838019C22semidirect
65. #16838019C22semidirect
66. #16838019C22semidirect
67. #16838012C22semidirect
68. #16838012C22semidirect
69. #16838006C22semidirect
70. #16838005C22semidirect
71. #16837997C22semidirect
72. #16837987C22semidirect
73. #16837980C22semidirect
74. #16837973C22semidirect
75. #16837973C22semidirect
76. #16837969C22semidirect
77. #16837955C22semidirect
78. #16837954C22semidirect
79. #16837954C22semidirect
80. #16837954C22semidirect
81. #16837950C22semidirect
82. #16837948C22semidirect
83. #16837947C22semidirect
84. #16837947C22semidirect
85. #16837938C22semidirect
86. #16837938C22semidirect
87. #16837933C22semidirect
88. #16837933C22semidirect
89. #16837933C22semidirect
90. #16837933C22semidirect
91. #16837933C22semidirect
92. #16837933C22semidirect
93. #16837933C22semidirect
94. #16837933C22semidirect
95. #16837933C22semidirect
96. #16837933C22semidirect
97. #16837933C22semidirect
98. #16837932C22semidirect
99. #16837932C22semidirect
100. #16837931C22semidirect
101. #16837929C22semidirect
102. #16837929C22semidirect
103. C2×#14273720C22semidirect
104. C2×#14273718C22semidirect
105. C2×#14273714C22semidirect
106. #16837913C22semidirect
107. #16837908C22semidirect
108. #16837908C22semidirect
109. #16837908C22semidirect
110. C2×#14273708C22semidirect
111. C2×#14273706C22semidirect
113. #16837885C22semidirect
114. #16837885C22semidirect
115. #16837883C22semidirect
116. #16837881C22semidirect
117. #16837879C22semidirect
118. #16837878C22semidirect
119. #16837877C22semidirect
120. #16837877C22semidirect
123. #41×Dic59C22semidirect
124. #41×Dic59C22semidirect
125. #41×Dic59C22semidirect
126. #41×Dic59C22semidirect
127. #41×Dic59C22semidirect
128. #41×Dic59C22semidirect
129. #41×Dic59C22semidirect
130. #41×Dic59C22semidirect
131. #16837870C22semidirect
132. C4×#11745687C22semidirect
133. C4×#11745687C22semidirect
134. C4×#11745687C22semidirect
135. C2×Q8×Dic59C22semidirect
136. C2×Q8×Dic59C22semidirect
137. C2×#14273692C22semidirect
138. C4×Q8×D59C22semidirect
139. C2×D4×Dic59C22semidirect
140. C2×D4×Dic59C22semidirect
141. C2×D4×Dic59C22semidirect
142. C2×D4×Dic59C22semidirect
143. C2×D4×Dic59C22semidirect
144. C2×#14273686C22semidirect
145. C2×#14273683C22semidirect
146. C22×C4×Dic59C22semidirect
408. #41×C59#41semidirect
683. #3488D59semidirect
837. C59#62810semidirect
1092. #41#11745687semidirect

Maximal subgroups

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

subgroupindex
#214381942
#214381492
#214380782
#214380212
#214380172
#214379912
#214379182
#214378842
#214378502
#214378252
#214377762
#214377122
#214376972
#214376952
#214376472
#214375242
#214375092
#214373882
C2×#168379332
#214373072
H(5,𝔽2)×Dic592
C2×#41×Dic592
C59×#34882
#6281059