Finite Group Databasebeta

← #29495548

Subgroups — #29495548

Order 15104.

7226 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437527C214yesmaximal, complemented
2#21437525C214yesmaximal, complemented
3#21437521C214yesmaximal, complemented
4#21437517C214yesmaximal, complemented
5#21437514C214yesmaximal, complemented
6#21437510C214yesmaximal, complemented
7#21437506C214yesmaximal, complemented
8#21437503C214yesmaximal, complemented
9#21437499C211yesmaximal, characteristic, complemented
10#21437488C211yesmaximal, characteristic, complemented
11#21437485C211yesmaximal, characteristic, complemented
12#21437484C212yesmaximal, complemented
13#21437479C218yesmaximal, complemented
14#21437426C212yesmaximal, complemented
15#21437423C211yesmaximal, characteristic, complemented
16#21437392C211yesmaximal, characteristic, complemented
17#21437389C212yesmaximal, complemented
18#21437389C218yesmaximal, complemented
19C2×C4×#11745685C211yesmaximal, characteristic, complemented
20C4×#41×D59C212yesmaximal, complemented
21C59×#3444C211yesmaximal, characteristic, complemented
22C22×#11745685C2211yescharacteristic
23C2×#41×D59C2212yes—
24#16838032C2214yescomplemented
25#16838031C2214yescomplemented
26#16838029C2214yescomplemented
27#16838027C2214yes—
28#16838026C2214yescomplemented
29#16838025C2214yescomplemented
30#16838022C2218yescomplemented
31#16838021C2214yescomplemented
32#16838020C2218yescomplemented
33#16838019C2214yescomplemented
34#16838018C2218yescomplemented
35#16838016C2218yescomplemented
36#16838015C2212yescomplemented
37#16838013C2212yescomplemented
38#16838012C2214yescomplemented
39#16838011C2218yescomplemented
40#16838009C2218yescomplemented
41#16838008C2212yescomplemented
42#16838006C2212yescomplemented
43#16838005C2214yescomplemented
44#16838004C2218yescomplemented
45#16838002C2218yescomplemented
46#16838001C2214yescomplemented
47#16838000C2218yescomplemented
48#16837998C2218yescomplemented
49#16837997C2214yescomplemented
50#16837996C2218yescomplemented
51#16837995C2218yescomplemented
52#16837993C2218yescomplemented
53#16837992C2214yescomplemented
54#16837991C2218yescomplemented
55#16837989C2214yescomplemented
56#16837988C2218yescomplemented
57#16837987C2218yescomplemented
58#16837986C2218yescomplemented
59#16837984C2218yescomplemented
60#16837982C2214yes—
61#16837981C2214yes—
62#16837979C2214yes—
63#16837977C2212yescomplemented
64#16837975C2214yescomplemented
65#16837974C2214yescomplemented
66#16837972C2212yescomplemented
67#16837970C2212yescomplemented
68#16837968C2214yescomplemented
69#16837967C2214yescomplemented
70#16837965C2212yescomplemented
71#16837963C2214yes—
72#16837962C2214yes—
73#16837960C2214yes—
74#16837959C2211yescharacteristic, complemented
75#16837959C2212yescomplemented
76#16837956C2218yescomplemented
77#16837956C2214yescomplemented
78#16837956C2218yescomplemented
79#16837955C2212yescomplemented
80#16837955C2218yescomplemented
81#16837952C2211yescharacteristic
82#16837952C2212yescomplemented
83#16837949C2218yes—
84#16837949C2214yescomplemented
85#16837949C2218yescomplemented
86#16837948C2212yes—
87#16837948C2218yescomplemented
88#16837939C2218yescomplemented
89#16837939C2218yescomplemented
90#16837939C2214yescomplemented
91#16837936C2214yescomplemented
92#16837936C2214yescomplemented
93#16837936C2214yescomplemented
94#16837934C2218yescomplemented
95#16837934C2218yescomplemented
96#16837934C2214yescomplemented
97#16837932C2218yescomplemented
98#16837932C2218yescomplemented
99#16837932C2218yescomplemented
100#16837932C2218yescomplemented
101#16837932C2218yescomplemented
102#16837930C2218yescomplemented
103#16837930C2218yescomplemented
104#16837930C2218yescomplemented
105#16837930C2218yescomplemented
106#16837930C2218yescomplemented
107#16837914C2212yescomplemented
108#16837914C2218yescomplemented
109#16837913C2212yescomplemented
110#16837913C2214yescomplemented
111#16837911C2218yescomplemented
112#16837911C2218yescomplemented
113#16837911C2218yescomplemented
114#16837911C2218yescomplemented
115#16837911C2218yescomplemented
116#16837909C2212yescomplemented
117#16837909C2218yescomplemented
118#41×Dic59C2212yescomplemented
119C4×#11745689C2214yescomplemented
120C4×#11745685C2214yescomplemented
121C4×#11745685C2214yescomplemented
122C4×#11745685C2214yescomplemented
123C4×#11745685C2214yescomplemented
124C4×#11745685C2212yescomplemented
125C4×#11745685C2214yescomplemented
126C4×#11745685C2218yescomplemented
127C4×#11745685C2214yescomplemented
128#16837870C2214yescomplemented
129#16837870C2212yescomplemented
130C4×#11745687C2214yescomplemented
131C4×#11745687C2218yescomplemented
132C2×C4×Dic118C2212yescomplemented
133C4×Q8×D59C2214yescomplemented
134C2×C4×D236C2212yes—
135C2×C4×C22⋊D59C2212yes—
136C2×C4×C22⋊D59C2212yescomplemented
137C4×D4×D59C2218yes—
138C4×D4×D59C2214yescomplemented
139C2×#14273686C2211yescharacteristic, complemented
140C2×#14273684C2211yescharacteristic
141C2×#14273684C2211yescharacteristic, complemented
142#117×D59C2212yes—
143#117×D59C2214yescomplemented
144C2×C42×D59C2211yescharacteristic
145C2×C42×D59C2214yescomplemented
146C2×C42×D59C2211yescharacteristic, complemented
147C59×#533C2211yescharacteristic, complemented
148C59×#533C2212yescomplemented
149C59×#532C2211yescharacteristic
150C59×#532C2212yescomplemented
151C59×#529C2214yescomplemented
152C59×#529C2214yescomplemented
153C59×#529C2214yescomplemented
154C59×#525C2212yescomplemented
155C59×#525C2214yescomplemented
156C4×#41×C59C2212yescomplemented
157C4×#41×C59C2214yescomplemented
158C22×C42×C59C2211yescharacteristic, complemented
159C2×#11745689C2312yes—
160C2×#11745685—28no—
161C2×#11745685C2314yes—
162C2×#11745685C2314yes—
163C2×#11745685C2312yes—
164C2×#11745685C2314yes—
165C2×#11745685C2314yes—
166C2×#11745685C2318yes—
167C2×#11745687C2312yes—
168C2×#11745687C2314yes—
169#41×D59—216no—
170C22×Dic118C2311yescharacteristic
171C2×Q8×D59C2312yes—
172C22×D236C2311yescharacteristic
173C22×C22⋊D59C2311yescharacteristic
174C22×C22⋊D59C2311yescharacteristic
175C2×D4×D59C2314yes—
176C2×D4×D59C2312yes—
177C22×C4×D59C2311yescharacteristic
178C22×C4×D59C2314yes—
179C22×C4×D59C2318yes—
180C22×C4×D59C2312yes—
181C22×C4×D59C2312yes—
182C22×C4×D59C2311yescharacteristic
183#14273727C2311yescharacteristic
184#14273727C2312yes—
185#14273726C2318yes—
186#14273726C2318yes—
187#14273726C2314yes—
188#14273725C2312yes—
189#14273725C2318yes—
190#14273724C2311yescharacteristic
191#14273723C2312yes—
192#14273723C2318yes—
193#14273722C2318yes—
194#14273722C2318yes—
195#14273722C2318yes—
196#14273722C2318yes—
197#14273722C2318yes—
198#14273721C2318yes—
199#14273720C2318yes—
200#14273720C2318yes—
201#14273720C2318yes—
202#14273720C2318yes—
203#14273720C2318yes—
204#14273719C2314yes—
205#14273719C2312yes—
206#14273718C2318yes—
207#14273718C2318yes—
208#14273718C2314yes—
209#14273717C2318yes—
210#14273717C2318yes—
211#14273717C2318yes—
212#14273717C2318yes—
213#14273717C2318yes—
214#14273716C2312yes—
215#14273716C2318yes—
216#14273715C2312yes—
217#14273715C2314yes—
218#14273714C2312yes—
219#14273714C2318yes—
220#14273713C2318yes—
221#14273713C2318yes—
222#14273713C2318yes—
223#14273713C2318yes—
224#14273713C2318yes—
225#14273712C2318yes—
226#14273712C2318yes—
227#14273712C2318yes—
228#14273712C2318yes—
229#14273712C2318yes—
230#14273711C2314yes—
231#14273711C2318yes—
232#14273711C2318yes—
233#14273710C2314yes—
234#14273710C2318yes—
235#14273709C2318yes—
236#14273709C2318yes—
237#14273709C2318yes—
238#14273709C2318yes—
239#14273709C2318yes—
240#14273708C2314yes—
241#14273708C2318yes—
242#14273708C2318yes—
243#14273707C2314yes—
244#14273707C2318yes—
245#14273707C2318yes—
246#14273706C2314yes—
247#14273706C2314yes—
248#14273706C2314yes—
249#14273705C2318yes—
250#14273705C2318yes—
251#14273705C2318yes—
252#14273705C2318yes—
253#14273705C2318yes—
254#14273704C2318yes—
255#14273704C2318yes—
256#14273704C2318yes—
257#14273704C2318yes—
258#14273704C2318yes—
259#14273703C2314yes—
260#14273703C2318yes—
261#14273703C2318yes—
262#14273702C2318yes—
263#14273702C2314yes—
264#14273702C2318yes—
265#14273701C2314yes—
266#14273701C2314yes—
267#14273701C2314yes—
268#14273700C2318yes—
269#14273700C2318yes—
270#14273700C2318yes—
271#14273700C2318yes—
272#14273700C2318yes—
273#14273699C2318yes—
274#14273699C2318yes—
275#14273699C2318yes—
276#14273699C2318yes—
277#14273699C2318yes—
278#14273698C2318yes—
279#14273698C2314yes—
280#14273698C2318yes—
281#14273697C2318yes—
282#14273697C2314yes—
283#14273697C2318yes—
284#14273696C2314yes—
285#14273695C2318yes—
286#14273695C2318yes—
287#14273695C2314yes—
288Q8×Dic59C2314yes—
289C4×Dic118C2314yes—
290C4×Dic118C2314yes—
291C4×Dic118C2318yes—
292C4×Dic118C2318yes—
293C4×Dic118C2318yes—
294C4×Dic118C2314yes—
295C4×Dic118C2314yes—
296C4×Dic118C2314yes—
297C4×Dic118C2314yes—
298C4×Dic118C2314yes—
299#14273692C2318yes—
300#14273692C2314yes—
301C4×D236C2314yes—
302C4×D236C2314yes—
303C4×D236C2318yes—
304C4×D236C2318yes—
305C4×D236C2318yes—
306C4×D236C2314yes—
307C4×D236C2314yes—
308C4×D236C2314yes—
309C4×D236C2314yes—
310C4×D236C2314yes—
311D4×Dic59C2318yes—
312D4×Dic59C2314yes—
313#14273689C2318yes—
314#14273689C2314yes—
315C4×C22⋊D59C2314yes—
316C4×C22⋊D59C2318yes—
317C4×C22⋊D59C2318yes—
318C4×C22⋊D59C2318yes—
319C4×C22⋊D59C2318yes—
320C4×C22⋊D59C2318yes—
321C4×C22⋊D59C2318yes—
322C4×C22⋊D59C2314yes—
323C4×C22⋊D59C2318yes—
324C4×C22⋊D59C2318yes—
325C4×C22⋊D59C2314yes—
326C4×C22⋊D59C2318yes—
327C4×C22⋊D59C2314yes—
328C4×C22⋊D59C2314yes—
329C4×C22⋊D59C2314yes—
330C4×C22⋊D59C2314yes—
331C4×C22⋊D59C2314yes—
332(C22⋊D59)⋊C4C2318yes—
333(C22⋊D59)⋊C4C2318yes—
334(C22⋊D59)⋊C4C2318yes—
335#14273686C2312yes—
336#14273686C2318yes—
337#14273686C2314yes—
338#14273686C2314yes—
339#14273686C2314yes—
340#14273686C2314yes—
341#14273685C2314yes—
342#14273685C2318yes—
343#14273684C2314yes—
344#14273684C2314yes—
345#14273684C2318yes—
346#14273684C2318yes—
347#14273684C2318yes—
348#14273684C2314yes—
349#14273684C2314yes—
350#14273684C2314yes—
351#14273684C2312yes—
352#14273684C2312yes—
353#14273684C2312yes—
354#14273684C2312yes—
355#14273683C2314yes—
356#14273683C2318yes—
357C2×C4⋊Dic59C2312yes—
358C2×Dic59⋊C4C2312yes—
359C2×Dic59⋊C4C2312yes—
360C4⋊C4×D59C2314yes—
361C4⋊C4×D59C2318yes—
362C2×C22⋊Dic59C2312yes—
363C2×(C2×D59)⋊C4C2312yes—
364C2×(C2×D59)⋊C4C2312yes—
365C22⋊C4×D59C2314yes—
366C22⋊C4×D59C2318yes—
367C2×C4×Dic59C2312yes—
368C2×C4×Dic59C2314yes—
369C2×C4×Dic59C2318yes—
370C2×C4×Dic59C2311yescharacteristic
371C2×C4×Dic59C2311yescharacteristic
372C2×C4×Dic59C2312yes—
373C42×D59C2312yes—
374C42×D59C2318yes—
375C42×D59C2318yes—
376C42×D59C2314yes—
377C42×D59C2314yes—
378C42×D59C2314yes—
379C42×D59C2312yes—
380C42×D59C2312yes—
381C42×D59C2314yes—
382C42×D59C2314yes—
383C42×D59C2312yes—
384C2×#41×C59C2312yes—
385C2×#41×C59C2314yes—
386C23×C4×C59C2311yescharacteristic
387C23×C4×C59C2312yes—
388C4⋊Q8×C59C2311yescharacteristic
389C4⋊Q8×C59C2312yes—
390#127×C59C2311yescharacteristic
391#126×C59C2318yes—
392#125×C59C2314yes—
393#125×C59C2312yes—
394#124×C59C2312yes—
395#124×C59C2314yes—
396#123×C59C2314yes—
397#123×C59C2318yes—
398C22⋊Q8×C59C2314yes—
399C22⋊Q8×C59C2314yes—
400C22⋊Q8×C59C2314yes—
401#121×C59C2314yes—
402#121×C59C2314yes—
403#121×C59C2314yes—
404#120×C59C2314yes—
405C4×Q8×C59C2314yes—
406C4×Q8×C59C2314yes—
407C4×Q8×C59C2314yes—
408C4×D4×C59C2314yes—
409C4×D4×C59C2314yes—
410C4×D4×C59C2318yes—
411C4×D4×C59C2318yes—
412C4×D4×C59C2318yes—
413C4×D4×C59C2314yes—
414#117×C59C2318yes—
415#117×C59C2312yes—
416#117×C59C2314yes—
417#117×C59C2314yes—
418C2×C42×C59C2312yes—
419C2×C42×C59C2312yes—
420C2×C42×C59C2312yes—
421C2×C42×C59C2311yescharacteristic
422C2×C42×C59C2312yes—
423C2×C42×C59C2311yescharacteristic
424C2×C42×C59C2312yes—
425C2×C42×C59C2314yes—
426C24×C59C2411yescharacteristic
427C23×D59C2414yes—
428C23×D59C2411yescharacteristic
429C23×D59C2411yescharacteristic
430#41×C59—28no—
431#41×C59—48no—
432C2×Q8×C59C2412yes—
433C2×Q8×C59C2414yes—
434C2×D4×C59C2414yes—
435C2×D4×C59C2412yes—
436C2×D4×C59C2418yes—
437C2×D4×C59C2414yes—
438C22×C4×C59—24no—
439C22×C4×C59—44no—
440C22×C4×C59C2412yes—
441C22×C4×C59C2412yes—
442C22×C4×C59C2412yes—
443C22×C4×C59C2412yes—
444C22×C4×C59C2412yes—
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2414yes—
447C22×C4×C59C2418yes—
448C22×C4×C59C2412yes—
449C22×C4×C59C2412yes—
450C22×C4×C59C2412yes—
451C22×C4×C59C2411yescharacteristic
452C2×C22⋊D59—24no—
453C2×C22⋊D59—24no—
454C2×C22⋊D59C2414yes—
455C2×C22⋊D59C2414yes—
456C2×C22⋊D59C2414yes—
457C2×C22⋊D59C2414yes—
458C2×C22⋊D59C2414yes—
459C2×C22⋊D59C2418yes—
460C2×C22⋊D59C2418yes—
461C2×C22⋊D59C2418yes—
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2414yes—
464C22×Dic59C2412yes—
465C22×Dic59C2412yes—
466C22×Dic59C2418yes—
467C22×Dic59C2411yescharacteristic
468#11745689—28no—
469Q8×D59—28no—
470#11745687—216no—
471#11745687—28no—
472D4×D59—216no—
473D4×D59—28no—
474#11745685—28no—
475#11745685—216no—
476#11745685—216no—
477#11745685—216no—
478#11745685—416no—
479#11745685—48no—
480C2×D236—24no—
481C2×D236C2414yes—
482C2×D236C2412yes—
483C2×D236C2414yes—
484C2×D236C2414yes—
485C2×D236C2418yes—
486C2×C4×D59—24no—
487C2×C4×D59—216no—
488C2×C4×D59—44no—
489C2×C4×D59—416no—
490C2×C4×D59—44no—
491C2×C4×D59#4118yescomplemented
492C2×C4×D59C2414yes—
493C2×C4×D59C2414yes—
494C2×C4×D59C2412yes—
495C2×C4×D59C2414yes—
496C2×C4×D59C2418yes—
497C2×C4×D59C2414yes—
498C2×C4×D59C2412yes—
499C2×C4×D59C2414yes—
500C2×C4×D59C2414yes—
501C2×C4×D59C2418yes—
502C2×C4×D59C2418yes—
503C2×C4×D59C2414yes—
504C2×C4×D59C2412yes—
505C2×C4×D59C2412yes—
506C2×Dic118—24no—
507C2×Dic118C2414yes—
508C2×Dic118C2412yes—
509C2×Dic118C2414yes—
510C2×Dic118C2414yes—
511C2×Dic118C2418yes—
512C4⋊C4×C59C2414yes—
513C4⋊C4×C59C2414yes—
514C4⋊C4×C59C2414yes—
515C4⋊C4×C59C2418yes—
516C4⋊C4×C59C2418yes—
517C4⋊C4×C59C2418yes—
518C22⋊C4×C59C2414yes—
519C22⋊C4×C59C2418yes—
520C22⋊C4×C59C2418yes—
521C22⋊C4×C59C2418yes—
522C22⋊C4×C59C2418yes—
523C42×C59C2411yescharacteristic
524C42×C59C2412yes—
525C42×C59C2412yes—
526C42×C59C2412yes—
527C42×C59C2412yes—
528C42×C59C2411yescharacteristic
529C42×C59C2412yes—
530C42×C59C2412yes—
531C42×C59C2411yescharacteristic
532C42×C59C2414yes—
533C42×C59C2418yes—
534C42×C59C2411yescharacteristic
535C22⋊Dic59C2414yes—
536C22⋊Dic59C2418yes—
537C22⋊Dic59C2414yes—
538C22⋊Dic59C2414yes—
539C22⋊Dic59C2418yes—
540C22⋊Dic59C2418yes—
541C22⋊Dic59C2418yes—
542(C2×D59)⋊C4C2418yes—
543(C2×D59)⋊C4C2418yes—
544(C2×D59)⋊C4C2418yes—
545(C2×D59)⋊C4C2414yes—
546(C2×D59)⋊C4C2414yes—
547(C2×D59)⋊C4C2414yes—
548(C2×D59)⋊C4C2414yes—
549(C2×D59)⋊C4C2418yes—
550(C2×D59)⋊C4C2418yes—
551(C2×D59)⋊C4C2418yes—
552(C2×D59)⋊C4C2418yes—
553(C2×D59)⋊C4C2418yes—
554(C2×D59)⋊C4C2418yes—
555C4⋊Dic59C2414yes—
556C4⋊Dic59C2418yes—
557C4⋊Dic59C2414yes—
558C4⋊Dic59C2414yes—
559C4⋊Dic59C2418yes—
560C4⋊Dic59C2418yes—
561C4⋊Dic59C2414yes—
562C4⋊Dic59C2414yes—
563Dic59⋊C4C2418yes—
564Dic59⋊C4C2418yes—
565Dic59⋊C4C2418yes—
566Dic59⋊C4C2414yes—
567Dic59⋊C4C2414yes—
568Dic59⋊C4C2414yes—
569Dic59⋊C4C2414yes—
570Dic59⋊C4C2418yes—
571Dic59⋊C4C2418yes—
572Dic59⋊C4C2418yes—
573Dic59⋊C4C2418yes—
574Dic59⋊C4C2418yes—
575Dic59⋊C4C2418yes—
576C4×Dic59C2412yes—
577C4×Dic59C2414yes—
578C4×Dic59C2414yes—
579C4×Dic59C2418yes—
580C4×Dic59C2412yes—
581C4×Dic59C2414yes—
582C4×Dic59C2418yes—
583C4×Dic59C2414yes—
584C4×Dic59C2412yes—
585C4×Dic59C2412yes—
586C4×Dic59C2418yes—
587C4×Dic59C2414yes—
588C4×Dic59C2418yes—
589C23×C59—22no—
590C23×C59—42no—
591C23×C59C2512yes—
592C23×C59C2514yes—
593C23×C59C2511yescharacteristic
594C22×D59—22no—
595C22×D59—28no—
596C22×D59—42no—
597C22×D59—48no—
598C22×D59—42no—
599C22×D59C2×#4114yes—
600C22×D59C2514yes—
601C22×D59C2512yes—
602C22×D59C2512yes—
603Q8×C59—24no—
604Q8×C59—44no—
605D4×C59—28no—
606D4×C59—24no—
607D4×C59—48no—
608D4×C59—44no—
609C2×C4×C59—22no—
610C2×C4×C59—28no—
611C2×C4×C59—24no—
612C2×C4×C59—24no—
613C2×C4×C59—24no—
614C2×C4×C59—216no—
615C2×C4×C59—24no—
616C2×C4×C59—24no—
617C2×C4×C59—42no—
618C2×C4×C59—42no—
619C2×C4×C59—42no—
620C2×C4×C59C2×#4114yes—
621C2×C4×C59C2512yes—
622C2×C4×C59C2514yes—
623C2×C4×C59C2518yes—
624C2×C4×C59C2512yes—
625C2×C4×C59C2512yes—
626C2×C4×C59C2512yes—
627C2×C4×C59C2511yescharacteristic
628C2×C4×C59C2511yescharacteristic
629C2×C4×C59C2512yes—
630C22⋊D59—28no—
631C22⋊D59—28no—
632C22⋊D59—28no—
633C22⋊D59—28no—
634C22⋊D59—28no—
635C22⋊D59—48no—
636C22⋊D59—48no—
637C22⋊D59—48no—
638C2×Dic59—22no—
639C2×Dic59—28no—
640C2×Dic59—42no—
641C2×Dic59—48no—
642C2×Dic59—42no—
643C2×Dic59C2×#4114yes—
644C2×Dic59C2514yes—
645C2×Dic59C2514yes—
646C2×Dic59C2512yes—
647C2×Dic59C2518yes—
648C2×Dic59C2514yes—
649C2×Dic59C2512yes—
650D236—28no—
651D236—28no—
652D236—24no—
653D236—44no—
654D236—48no—
655C4×D59—28no—
656C4×D59—24no—
657C4×D59—24no—
658C4×D59—28no—
659C4×D59—28no—
660C4×D59—216no—
661C4×D59—28no—
662C4×D59—28no—
663C4×D59—48no—
664C4×D59—44no—
665C4×D59—48no—
666C4×D59—44no—
667C4×D59C2×#4118yes—
668C4×D59C2×#4118yes—
669Dic118—24no—
670Dic118—28no—
671Dic118—28no—
672Dic118—44no—
673Dic118—48no—
674#62686—591nomaximal, Sylow
675C22×C59—22no—
676C22×C59—24no—
677C22×C59—22no—
678C22×C59—28no—
679C22×C59—22no—
680C22×C59—22no—
681C22×C59—44no—
682C22×C59C22×#4112yes—
683C22×C59C2611yescharacteristic
684C2×D59—24no—
685C2×D59—22no—
686C2×D59—24no—
687C2×D59—28no—
688C2×D59—24no—
689C2×D59—44no—
690C2×D59—416no—
691C2×D59—44no—
692C2×D59C22×#4114yes—
693C4×C59—22no—
694C4×C59—24no—
695C4×C59—22no—
696C4×C59—28no—
697C4×C59—22no—
698C4×C59—22no—
699C4×C59C22×#4112yes—
700C4×C59C22×#4112yes—
701C4×C59#58514yes—
702Dic59—24no—
703Dic59—22no—
704Dic59—28no—
705Dic59—24no—
706Dic59—24no—
707Dic59C22×#4114yes—
708#3461—594no—
709#3461—594no—
710#3461—594no—
711#3460—594no—
712#3460—594no—
713#3460—594no—
714#3459—594no—
715#3459—594no—
716#3458—591no—
717#3455—591no—
718#3455—591no—
719#3455—598no—
720#3455—592no—
721#3449—591no—
722#3449—592no—
723#3444—591no—
724#3444—598no—
725#3444—592no—
726#3444D5911yescharacteristic, complemented
727C2×C4×#41—591no—
728C2×C4×#41—592no—
729C2×C59—22no—
730C2×C59—44no—
731C2×C59—42no—
732C2×C59C23×#4111yescharacteristic
733C2×C59C2×#58512yes—
734D59—24no—
735D59—44no—
736D59—42no—
737C22×#41—592no—
738C22×#41—591no—
739#544—594no—
740#544—594no—
741#544—594no—
742#543—594no—
743#542—594no—
744#542—598no—
745#542—598no—
746#542—594no—
747#542—598no—
748#542—598no—
749#542—594no—
750#542—594no—
751#541—592no—
752#541—598no—
753#541—598no—
754#541—592no—
755#541—594no—
756#540—592no—
757#540—592no—
758#540—598no—
759#540—598no—
760#540—594no—
761#539—598no—
762#539—598no—
763#539—598no—
764#539—598no—
765#539—598no—
766#539—594no—
767#539—594no—
768#538—598no—
769#538—598no—
770#538—598no—
771#538—594no—
772#538—598no—
773#538—594no—
774#538—598no—
775#537—594no—
776#537—594no—
777#537—594no—
778#536—592no—
779#536—592no—
780#536—594no—
781#536—594no—
782#535—592no—
783#535—592no—
784#535—594no—
785#535—594no—
786#534—594no—
787#534—594no—
788#534—594no—
789#533—598no—
790#533—598no—
791#533—594no—
792#533—592no—
793#533—598no—
794#533—591no—
795#533—592no—
796#533C2×D5911yescharacteristic, complemented
797#533C2×D5912yescomplemented
798#532—592no—
799#532—598no—
800#532—598no—
801#532—598no—
802#532—594no—
803#532—591no—
804#532—592no—
805#532C2×D5911yescharacteristic
806#532C2×D5912yescomplemented
807#529—598no—
808#529—598no—
809#529—594no—
810#529—598no—
811#529—598no—
812#529—598no—
813#529—598no—
814#529—598no—
815#529—598no—
816#529—598no—
817#529—594no—
818#529—598no—
819#529—598no—
820#529—598no—
821#529—598no—
822#529—598no—
823#529—594no—
824#529—594no—
825#529—594no—
826#529C2×D5914yescomplemented
827#529C2×D5914yescomplemented
828#529C2×D5914yescomplemented
829#525—592no—
830#525—598no—
831#525—592no—
832#525—594no—
833#525—598no—
834#525—598no—
835#525—598no—
836#525—598no—
837#525—598no—
838#525—592no—
839#525—598no—
840#525C2×D5912yescomplemented
841#525C2×D5914yescomplemented
842C4×#41—592no—
843C4×#41—594no—
844C4×#41—598no—
845C4×#41—594no—
846C4×#41—592no—
847C4×#41—594no—
848C4×#41—592no—
849C4×#41—594no—
850C4×#41—594no—
851C4×#41—594no—
852C4×#41—594no—
853C4×#41—594no—
854C4×#41—594no—
855C4×#41—598no—
856C4×#41C2×D5912yescomplemented
857C4×#41C2×D5914yescomplemented
858C2×C4×Q8—594no—
859C2×C4×Q8—592no—
860C2×C4×D4—592no—
861C2×C4×D4—592no—
862C2×C4×D4—598no—
863C2×C4×D4—594no—
864C2×C4×D4—592no—
865C2×#117—591no—
866C2×#117—592no—
867C2×#117—594no—
868C2×#117—591no—
869C2×#117—591no—
870C22×C42—591no—
871C22×C42—591no—
872C22×C42—594no—
873C22×C42C2×D5911yescharacteristic, complemented
874C59#6268611yescharacteristic, complemented, Sylow
875C2×#41—592no—
876C2×#41—594no—
877C2×#41—592no—
878C2×#41—594no—
879C2×#41—594no—
880C2×#41—592no—
881C2×#41—594no—
882C2×#41—598no—
883C2×#41—594no—
884C2×#41—1188no—
885C2×#41—11816no—
886C2×#41C22×D5912yes—
887C2×#41C22×D5914yes—
888C22×Q8—592no—
889C22×Q8—591no—
890C22×D4—591no—
891C22×D4—591no—
892C22×D4—594no—
893C22×D4—592no—
894C22×D4—591no—
895C23×C4—591no—
896C23×C4—594no—
897C23×C4—591no—
898C23×C4—592no—
899C23×C4—592no—
900C23×C4—598no—
901C23×C4C22×D5911yescharacteristic
902C23×C4C22×D5912yes—
903C4⋊Q8—592no—
904C4⋊Q8—598no—
905C4⋊Q8—598no—
906C4⋊Q8—598no—
907C4⋊Q8—594no—
908C4⋊Q8—591no—
909C4⋊Q8—592no—
910C4⋊Q8C22×D5911yescharacteristic
911C4⋊Q8C22×D5912yes—
912#127—598no—
913#127—592no—
914#127—591no—
915#127C22×D5911yescharacteristic
916#126—598no—
917#126—598no—
918#126—598no—
919#126—598no—
920#126—598no—
921#126—598no—
922#126—598no—
923#126—598no—
924#126—598no—
925#126—598no—
926#126—598no—
927#126C22×D5918yes—
928#125—598no—
929#125—598no—
930#125—598no—
931#125—598no—
932#125—598no—
933#125—598no—
934#125—598no—
935#125—594no—
936#125—594no—
937#125—592no—
938#125C22×D5914yes—
939#125C22×D5912yes—
940#124—592no—
941#124—598no—
942#124—592no—
943#124—598no—
944#124—598no—
945#124—598no—
946#124—598no—
947#124—598no—
948#124—598no—
949#124—592no—
950#124—594no—
951#124C22×D5912yes—
952#124C22×D5914yes—
953#123—594no—
954#123—598no—
955#123—598no—
956#123—594no—
957#123—598no—
958#123—598no—
959#123—598no—
960#123—598no—
961#123—598no—
962#123—598no—
963#123—598no—
964#123—598no—
965#123—594no—
966#123—598no—
967#123—598no—
968#123—598no—
969#123—598no—
970#123—598no—
971#123C22×D5914yes—
972#123C22×D5918yes—
973C22⋊Q8—594no—
974C22⋊Q8—598no—
975C22⋊Q8—598no—
976C22⋊Q8—594no—
977C22⋊Q8—594no—
978C22⋊Q8—594no—
979C22⋊Q8—598no—
980C22⋊Q8—598no—
981C22⋊Q8—594no—
982C22⋊Q8—598no—
983C22⋊Q8—598no—
984C22⋊Q8—598no—
985C22⋊Q8—598no—
986C22⋊Q8—598no—
987C22⋊Q8—598no—
988C22⋊Q8—598no—
989C22⋊Q8—598no—
990C22⋊Q8—598no—
991C22⋊Q8—598no—
992C22⋊Q8C22×D5914yes—
993C22⋊Q8C22×D5914yes—
994C22⋊Q8C22×D5914yes—
995#121—598no—
996#121—598no—
997#121—594no—
998#121—598no—
999#121—598no—
1000#121—598no—
1001#121—598no—
1002#121—598no—
1003#121—594no—
1004#121—594no—
1005#121—594no—
1006#121—598no—
1007#121—594no—
1008#121—598no—
1009#121—598no—
1010#121—598no—
1011#121—598no—
1012#121—598no—
1013#121—598no—
1014#121C22×D5914yes—
1015#121C22×D5914yes—
1016#121C22×D5914yes—
1017#120—594no—
1018#120—594no—
1019#120—598no—
1020#120—598no—
1021#120—598no—
1022#120—598no—
1023#120—594no—
1024#120C22×D5914yes—
1025C4×Q8—594no—
1026C4×Q8—598no—
1027C4×Q8—594no—
1028C4×Q8—598no—
1029C4×Q8—594no—
1030C4×Q8—594no—
1031C4×Q8—594no—
1032C4×Q8—594no—
1033C4×Q8—594no—
1034C4×Q8—598no—
1035C4×Q8—598no—
1036C4×Q8—594no—
1037C4×Q8—594no—
1038C4×Q8C22×D5914yes—
1039C4×Q8C22×D5914yes—
1040C4×Q8C22×D5914yes—
1041C4×D4—598no—
1042C4×D4—594no—
1043C4×D4—598no—
1044C4×D4—598no—
1045C4×D4—594no—
1046C4×D4—594no—
1047C4×D4—598no—
1048C4×D4—594no—
1049C4×D4—594no—
1050C4×D4—594no—
1051C4×D4—594no—
1052C4×D4—594no—
1053C4×D4—594no—
1054C4×D4—598no—
1055C4×D4—598no—
1056C4×D4—598no—
1057C4×D4—598no—
1058C4×D4—598no—
1059C4×D4—598no—
1060C4×D4—598no—
1061C4×D4—594no—
1062C4×D4—598no—
1063C4×D4—598no—
1064C4×D4—598no—
1065C4×D4—598no—
1066C4×D4—594no—
1067C4×D4—594no—
1068C4×D4—594no—
1069C4×D4—594no—
1070C4×D4—594no—
1071C4×D4—598no—
1072C4×D4—598no—
1073C4×D4—594no—
1074C4×D4—594no—
1075C4×D4C22×D5918yes—
1076C4×D4C22×D5914yes—
1077C4×D4C22×D5914yes—
1078C4×D4C22×D5914yes—
1079C4×D4C22×D5918yes—
1080C4×D4C22×D5918yes—
1081#117—592no—
1082#117—594no—
1083#117—594no—
1084#117—594no—
1085#117—598no—
1086#117—594no—
1087#117—594no—
1088#117—598no—
1089#117—594no—
1090#117—598no—
1091#117—594no—
1092#117—594no—
1093#117—594no—
1094#117—594no—
1095#117—594no—
1096#117—592no—
1097#117—592no—
1098#117—592no—
1099#117—592no—
1100#117—598no—
1101#117—598no—
1102#117—598no—
1103#117C22×D5912yes—
1104#117C22×D5914yes—
1105#117C22×D5918yes—
1106#117C22×D5914yes—
1107C2×C4⋊C4—592no—
1108C2×C4⋊C4—592no—
1109C2×C4⋊C4—592no—
1110C2×C4⋊C4—594no—
1111C2×C4⋊C4—598no—
1112C2×C22⋊C4—592no—
1113C2×C22⋊C4—592no—
1114C2×C22⋊C4—592no—
1115C2×C22⋊C4—594no—
1116C2×C22⋊C4—598no—
1117C2×C42—591no—
1118C2×C42—591no—
1119C2×C42—592no—
1120C2×C42—592no—
1121C2×C42—594no—
1122C2×C42—598no—
1123C2×C42—592no—
1124C2×C42—594no—
1125C2×C42—594no—
1126C2×C42—598no—
1127C2×C42—594no—
1128C2×C42—592no—
1129C2×C42—598no—
1130C2×C42—594no—
1131C2×C42—592no—
1132C2×C42—594no—
1133C2×C42—592no—
1134C2×C42C22×D5911yescharacteristic
1135C2×C42C22×D5912yes—
1136C2×C42C22×D5912yes—
1137C2×C42C22×D5912yes—
1138C2×C42C22×D5912yes—
1139C2×C42C22×D5912yes—
1140C2×C42C22×D5914yes—
1141C2×C42C22×D5911yescharacteristic
1142C24—591no—
1143C24—594no—
1144C24—591no—
1145C24C23×D5911yescharacteristic
1146#41—28no—
1147#41—48no—
1148#41—11816no—
1149#41—11816no—
1150#41—11816no—
1151#41—11816no—
1152#41—1188no—
1153#41—1188no—
1154#41—1188no—
1155#41—2368no—
1156#41—23616no—
1157C2×Q8—594no—
1158C2×Q8—594no—
1159C2×Q8—592no—
1160C2×Q8—598no—
1161C2×Q8—594no—
1162C2×Q8—1184no—
1163C2×Q8—1188no—
1164C2×Q8C23×D5912yes—
1165C2×Q8C23×D5914yes—
1166C2×D4—594no—
1167C2×D4—594no—
1168C2×D4—594no—
1169C2×D4—594no—
1170C2×D4—594no—
1171C2×D4—598no—
1172C2×D4—598no—
1173C2×D4—598no—
1174C2×D4—594no—
1175C2×D4—594no—
1176C2×D4—592no—
1177C2×D4—598no—
1178C2×D4—594no—
1179C2×D4—1184no—
1180C2×D4—1188no—
1181C2×D4—1184no—
1182C2×D4—11816no—
1183C2×D4—1184no—
1184C2×D4C23×D5914yes—
1185C2×D4C23×D5912yes—
1186C2×D4C23×D5914yes—
1187C2×D4C23×D5918yes—
1188C22×C4—24no—
1189C22×C4—44no—
1190C22×C4—591no—
1191C22×C4—598no—
1192C22×C4—592no—
1193C22×C4—592no—
1194C22×C4—591no—
1195C22×C4—594no—
1196C22×C4—592no—
1197C22×C4—592no—
1198C22×C4—598no—
1199C22×C4—594no—
1200C22×C4—594no—
1201C22×C4—592no—
1202C22×C4—594no—
1203C22×C4—598no—
1204C22×C4—594no—
1205C22×C4—594no—
1206C22×C4—592no—
1207C22×C4—594no—
1208C22×C4—598no—
1209C22×C4—598no—
1210C22×C4—594no—
1211C22×C4—11816no—
1212C22×C4—1184no—
1213C22×C4—2364no—
1214C22×C4—2364no—
1215C22×C4—23616no—
1216C22×C4C23×D5912yes—
1217C22×C4C23×D5914yes—
1218C22×C4C23×D5918yes—
1219C22×C4C23×D5911yescharacteristic
1220C22×C4C23×D5912yes—
1221C22×C4C23×D5912yes—
1222C22×C4C23×D5912yes—
1223C22×C4C23×D5912yes—
1224C22×C4C23×D5912yes—
1225C22×C4C23×D5912yes—
1226C22×C4C23×D5912yes—
1227C22×C4C23×D5911yescharacteristic
1228C4⋊C4—598no—
1229C4⋊C4—594no—
1230C4⋊C4—594no—
1231C4⋊C4—594no—
1232C4⋊C4—598no—
1233C4⋊C4—594no—
1234C4⋊C4—594no—
1235C4⋊C4—598no—
1236C4⋊C4—598no—
1237C4⋊C4—594no—
1238C4⋊C4—594no—
1239C4⋊C4—598no—
1240C4⋊C4—598no—
1241C4⋊C4—598no—
1242C4⋊C4—598no—
1243C4⋊C4—598no—
1244C4⋊C4—598no—
1245C4⋊C4—598no—
1246C4⋊C4—598no—
1247C4⋊C4—594no—
1248C4⋊C4—594no—
1249C4⋊C4C23×D5914yes—
1250C4⋊C4C23×D5918yes—
1251C4⋊C4C23×D5918yes—
1252C4⋊C4C23×D5918yes—
1253C4⋊C4C23×D5914yes—
1254C4⋊C4C23×D5914yes—
1255C22⋊C4—594no—
1256C22⋊C4—594no—
1257C22⋊C4—594no—
1258C22⋊C4—598no—
1259C22⋊C4—598no—
1260C22⋊C4—598no—
1261C22⋊C4—598no—
1262C22⋊C4—598no—
1263C22⋊C4—594no—
1264C22⋊C4—594no—
1265C22⋊C4—598no—
1266C22⋊C4—594no—
1267C22⋊C4—594no—
1268C22⋊C4—598no—
1269C22⋊C4—598no—
1270C22⋊C4—598no—
1271C22⋊C4—598no—
1272C22⋊C4—598no—
1273C22⋊C4—598no—
1274C22⋊C4—598no—
1275C22⋊C4C23×D5914yes—
1276C22⋊C4C23×D5918yes—
1277C22⋊C4C23×D5918yes—
1278C22⋊C4C23×D5918yes—
1279C22⋊C4C23×D5918yes—
1280C42—592no—
1281C42—594no—
1282C42—594no—
1283C42—592no—
1284C42—592no—
1285C42—594no—
1286C42—594no—
1287C42—598no—
1288C42—598no—
1289C42—592no—
1290C42—598no—
1291C42—598no—
1292C42—594no—
1293C42C23×D5911yescharacteristic
1294C42C23×D5912yes—
1295C42C23×D5914yes—
1296C42C23×D5918yes—
1297C42C23×D5912yes—
1298C42C23×D5912yes—
1299C42C23×D5911yescharacteristic
1300C42C23×D5911yescharacteristic
1301C42C23×D5912yes—
1302C42C23×D5912yes—
1303C42C23×D5912yes—
1304C42C23×D5911yescharacteristic
1305C23—22no—
1306C23—42no—
1307C23—592no—
1308C23—594no—
1309C23—594no—
1310C23—592no—
1311C23—1188no—
1312C23—1182no—
1313C23—2362no—
1314C23—2362no—
1315C23—2368no—
1316C23C24×D5912yes—
1317C23C24×D5914yes—
1318C23C24×D5911yescharacteristic
1319Q8—24no—
1320Q8—44no—
1321Q8—1188no—
1322Q8—1188no—
1323Q8—1184no—
1324Q8—2364no—
1325Q8—2368no—
1326D4—28no—
1327D4—24no—
1328D4—44no—
1329D4—48no—
1330D4—1188no—
1331D4—1188no—
1332D4—1188no—
1333D4—1188no—
1334D4—1188no—
1335D4—1188no—
1336D4—1188no—
1337D4—1184no—
1338D4—2364no—
1339D4—2368no—
1340D4—2368no—
1341D4—2368no—
1342D4—2368no—
1343C2×C4—22no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—28no—
1347C2×C4—24no—
1348C2×C4—24no—
1349C2×C4—24no—
1350C2×C4—216no—
1351C2×C4—42no—
1352C2×C4—42no—
1353C2×C4—42no—
1354C2×C4—594no—
1355C2×C4—592no—
1356C2×C4—598no—
1357C2×C4—598no—
1358C2×C4—594no—
1359C2×C4—592no—
1360C2×C4—594no—
1361C2×C4—598no—
1362C2×C4—594no—
1363C2×C4—1188no—
1364C2×C4—1188no—
1365C2×C4—1188no—
1366C2×C4—1182no—
1367C2×C4—1188no—
1368C2×C4—1184no—
1369C2×C4—1184no—
1370C2×C4—1188no—
1371C2×C4—11816no—
1372C2×C4—1188no—
1373C2×C4—2364no—
1374C2×C4—2364no—
1375C2×C4—2368no—
1376C2×C4—2368no—
1377C2×C4—2362no—
1378C2×C4—2368no—
1379C2×C4—2362no—
1380C2×C4#41×D5914yes—
1381C2×C4C24×D5912yes—
1382C2×C4C24×D5914yes—
1383C2×C4C24×D5918yes—
1384C2×C4C24×D5912yes—
1385C2×C4C24×D5912yes—
1386C2×C4C24×D5912yes—
1387C2×C4C24×D5911yescharacteristic
1388C2×C4C24×D5911yescharacteristic
1389C2×C4C24×D5912yes—
1390C22—22no—
1391C22—22no—
1392C22—24no—
1393C22—22no—
1394C22—22no—
1395C22—28no—
1396C22—44no—
1397C22—594no—
1398C22—1184no—
1399C22—1184no—
1400C22—1182no—
1401C22—1184no—
1402C22—1188no—
1403C22—2364no—
1404C22—2364no—
1405C22—23616no—
1406C22C2×#41×D5912yes—
1407C22C25×D5911yescharacteristic
1408C4—22no—
1409C4—24no—
1410C4—22no—
1411C4—22no—
1412C4—22no—
1413C4—28no—
1414C4—594no—
1415C4—1184no—
1416C4—1182no—
1417C4—1184no—
1418C4—1188no—
1419C4—1184no—
1420C4C2×#41×D5912yes—
1421C4C2×#41×D5912yes—
1422C4#1683823814yes—
1423C2—22no—
1424C2—42no—
1425C2—44no—
1426C2—1184no—
1427C2—2362no—
1428C2—2364no—
1429C2C22×#41×D5911yescharacteristic
1430C2C2×#1683823812yes—
subgroupG/H
centerC42C23×D59
commutator, socle, cosocleC22×C59C26
FrattiniC22C25×D59
FittingC59×#3444C2
hypercenter#3444D59
hypocenterC59#62686
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C42 ◁ #3444

Complements

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

NH ≅ G/Ntype
1. #21437527C2semidirect
2. #21437525C2semidirect
3. #21437521C2semidirect
4. #21437517C2semidirect
5. #21437514C2semidirect
6. #21437510C2semidirect
7. #21437506C2semidirect
8. #21437503C2semidirect
9. #21437499C2semidirect
10. #21437488C2semidirect
11. #21437485C2semidirect
12. #21437484C2semidirect
13. #21437479C2semidirect
14. #21437426C2semidirect
15. #21437423C2semidirect
16. #21437392C2semidirect
17. #21437389C2semidirect
18. #21437389C2semidirect
19. C2×C4×#11745685C2semidirect
20. C4×#41×D59C2semidirect
21. C59×#3444C2semidirect
24. #16838032C22semidirect
25. #16838031C22semidirect
26. #16838029C22semidirect
28. #16838026C22semidirect
29. #16838025C22semidirect
30. #16838022C22semidirect
31. #16838021C22semidirect
32. #16838020C22semidirect
33. #16838019C22semidirect
34. #16838018C22semidirect
35. #16838016C22semidirect
36. #16838015C22semidirect
37. #16838013C22semidirect
38. #16838012C22semidirect
39. #16838011C22semidirect
40. #16838009C22semidirect
41. #16838008C22semidirect
42. #16838006C22semidirect
43. #16838005C22semidirect
44. #16838004C22semidirect
45. #16838002C22semidirect
46. #16838001C22semidirect
47. #16838000C22semidirect
48. #16837998C22semidirect
49. #16837997C22semidirect
50. #16837996C22semidirect
51. #16837995C22semidirect
52. #16837993C22semidirect
53. #16837992C22semidirect
54. #16837991C22semidirect
55. #16837989C22semidirect
56. #16837988C22semidirect
57. #16837987C22semidirect
58. #16837986C22semidirect
59. #16837984C22semidirect
63. #16837977C22semidirect
64. #16837975C22semidirect
65. #16837974C22semidirect
66. #16837972C22semidirect
67. #16837970C22semidirect
68. #16837968C22semidirect
69. #16837967C22semidirect
70. #16837965C22semidirect
74. #16837959C22semidirect
75. #16837959C22semidirect
76. #16837956C22semidirect
77. #16837956C22semidirect
78. #16837956C22semidirect
79. #16837955C22semidirect
80. #16837955C22semidirect
82. #16837952C22semidirect
84. #16837949C22semidirect
85. #16837949C22semidirect
87. #16837948C22semidirect
88. #16837939C22semidirect
89. #16837939C22semidirect
90. #16837939C22semidirect
91. #16837936C22semidirect
92. #16837936C22semidirect
93. #16837936C22semidirect
94. #16837934C22semidirect
95. #16837934C22semidirect
96. #16837934C22semidirect
97. #16837932C22semidirect
98. #16837932C22semidirect
99. #16837932C22semidirect
100. #16837932C22semidirect
101. #16837932C22semidirect
102. #16837930C22semidirect
103. #16837930C22semidirect
104. #16837930C22semidirect
105. #16837930C22semidirect
106. #16837930C22semidirect
107. #16837914C22semidirect
108. #16837914C22semidirect
109. #16837913C22semidirect
110. #16837913C22semidirect
111. #16837911C22semidirect
112. #16837911C22semidirect
113. #16837911C22semidirect
114. #16837911C22semidirect
115. #16837911C22semidirect
116. #16837909C22semidirect
117. #16837909C22semidirect
118. #41×Dic59C22semidirect
119. C4×#11745689C22semidirect
120. C4×#11745685C22semidirect
121. C4×#11745685C22semidirect
122. C4×#11745685C22semidirect
123. C4×#11745685C22semidirect
124. C4×#11745685C22semidirect
125. C4×#11745685C22semidirect
126. C4×#11745685C22semidirect
127. C4×#11745685C22semidirect
128. #16837870C22semidirect
129. #16837870C22semidirect
130. C4×#11745687C22semidirect
131. C4×#11745687C22semidirect
132. C2×C4×Dic118C22semidirect
133. C4×Q8×D59C22semidirect
136. C2×C4×C22⋊D59C22semidirect
138. C4×D4×D59C22semidirect
139. C2×#14273686C22semidirect
141. C2×#14273684C22semidirect
143. #117×D59C22semidirect
145. C2×C42×D59C22semidirect
146. C2×C42×D59C22semidirect
147. C59×#533C22semidirect
148. C59×#533C22semidirect
150. C59×#532C22semidirect
151. C59×#529C22semidirect
152. C59×#529C22semidirect
153. C59×#529C22semidirect
154. C59×#525C22semidirect
155. C59×#525C22semidirect
156. C4×#41×C59C22semidirect
157. C4×#41×C59C22semidirect
158. C22×C42×C59C22semidirect
491. C2×C4×D59#41semidirect
726. #3444D59semidirect
796. #533C2×D59semidirect
797. #533C2×D59semidirect
806. #532C2×D59semidirect
826. #529C2×D59semidirect
827. #529C2×D59semidirect
828. #529C2×D59semidirect
840. #525C2×D59semidirect
841. #525C2×D59semidirect
856. C4×#41C2×D59semidirect
857. C4×#41C2×D59semidirect
873. C22×C42C2×D59semidirect
874. C59#62686semidirect

Maximal subgroups

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

subgroupindex
#214375272
#214375252
#214375212
#214375172
#214375142
#214375102
#214375062
#214375032
#214374992
#214374882
#214374852
#214374842
#214374792
#214374262
#214374232
#214373922
#214373892
C2×C4×#117456852
C4×#41×D592
C59×#34442
#6268659