Finite Group Databasebeta

← C59×#24262 #28436371

Subgroups — C59×#24262 #28436371

Order 15104.

1654 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C59×#3496C211yesmaximal, characteristic, complemented
2C2×C59×B(4,𝔽2)C212yesmaximal, complemented
3C59×#2617C212yesmaximal, complemented
4C59×#2321C211yesmaximal, characteristic, complemented
5C59×#2044C212yesmaximal, complemented
6C59×#2021C212yesmaximal, complemented
7C59×#1964C212yesmaximal, complemented
8C59×#1799C211yesmaximal, characteristic, complemented
9C59×#1790C212yesmaximal, complemented
10C2×H(5,𝔽2)×C59C2212yes—
11C59×#547—22no—
12C59×#546—24no—
13D42×C59—22no—
14C59×#537—21no—
15C59×#534—21no—
16C59×#534C2212yes—
17C59×#532—21no—
18C2×#121×C59—21no—
19C2×#121×C59C2212yes—
20C2×#120×C59C2211yescharacteristic
21C2×#120×C59C2214yescomplemented
22C2×C4×D4×C59C2211yescharacteristic
23C22×C22⋊C4×C59C2211yescharacteristic, complemented
24C59×B(4,𝔽2)—28no—
25C2×#99×C59C2212yes—
26C2×#99×C59C2214yescomplemented
27C2×#99×C59C2214yescomplemented
28C59×#397—22no—
29C59×#394—24no—
30C59×#392—22no—
31C59×#390—21no—
32C59×#388—21no—
33C59×#388—21no—
34C59×#386—21no—
35C59×#386C2211yescharacteristic
36C59×#386C2214yescomplemented
37C59×#385C2211yescharacteristic, complemented
38C59×#380C2212yescomplemented
39C59×#379C2211yescharacteristic, complemented
40C4×C22⋊C4×C59C2211yescharacteristic, complemented
41C59×#342C2212yescomplemented
42C25×C59C2311yescharacteristic
43H(5,𝔽2)×C59—24no—
44H(5,𝔽2)×C59—24no—
45H(5,𝔽2)×C59—44no—
46C2×#41×C59—22no—
47C2×#41×C59—24no—
48C22×D4×C59—22no—
49C22×D4×C59—24no—
50C22×D4×C59—21no—
51C22×D4×C59—21no—
52C22×D4×C59—24no—
53C22×D4×C59D412yescomplemented
54C22×D4×C59C2314yes—
55C22×D4×C59C2311yescharacteristic
56C23×C4×C59D411yescharacteristic, complemented
57C23×C4×C59C2311yescharacteristic
58C23×C4×C59C2311yescharacteristic
59C4⋊Q8×C59—21no—
60#127×C59—21no—
61#124×C59—22no—
62#123×C59—24no—
63#123×C59—24no—
64C22⋊Q8×C59—24no—
65#121×C59—22no—
66#121×C59—22no—
67#121×C59—24no—
68#121×C59—22no—
69#121×C59—22no—
70#121×C59—22no—
71#121×C59—22no—
72#121×C59—22no—
73#121×C59—22no—
74#120×C59—24no—
75#120×C59—24no—
76#120×C59—22no—
77#120×C59—28no—
78#120×C59—44no—
79#120×C59D414yescomplemented
80C4×D4×C59—22no—
81C4×D4×C59—22no—
82C4×D4×C59—22no—
83C4×D4×C59—22no—
84C2×C4⋊C4×C59—21no—
85C2×C4⋊C4×C59—22no—
86C2×C4⋊C4×C59—21no—
87C2×C4⋊C4×C59D411yescharacteristic, complemented
88C2×C4⋊C4×C59D412yescomplemented
89C2×C22⋊C4×C59—22no—
90C2×C22⋊C4×C59—21no—
91C2×C22⋊C4×C59—21no—
92C2×C22⋊C4×C59—21no—
93C2×C22⋊C4×C59—22no—
94C2×C22⋊C4×C59—22no—
95C2×C22⋊C4×C59—24no—
96C2×C22⋊C4×C59—21no—
97C2×C22⋊C4×C59—24no—
98C2×C22⋊C4×C59—21no—
99C2×C22⋊C4×C59—21no—
100C2×C22⋊C4×C59D411yescharacteristic, complemented
101C2×C22⋊C4×C59D414yescomplemented
102C2×C22⋊C4×C59C2314yes—
103C2×C22⋊C4×C59C2311yescharacteristic
104C2×C22⋊C4×C59C2311yescharacteristic
105C2×C22⋊C4×C59C2311yescharacteristic
106C2×C42×C59—21no—
107C2×C42×C59D411yescharacteristic, complemented
108#99×C59—24no—
109#99×C59—28no—
110#99×C59—44no—
111#95×C59—21no—
112#95×C59—22no—
113#95×C59—21no—
114#95×C59—21no—
115#95×C59—24no—
116C24×C59—22no—
117C24×C59—21no—
118C24×C59—22no—
119C24×C59—21no—
120C24×C59—22no—
121C24×C59—81no—
122C24×C59—81no—
123C24×C59C2×D414yes—
124C24×C59C2×D411yescharacteristic
125C24×C59C2×D412yescomplemented
126C24×C59C2411yescharacteristic
127#41×C59—48no—
128#41×C59—48no—
129#41×C59—44no—
130#41×C59—44no—
131C2×Q8×C59—22no—
132C2×D4×C59—22no—
133C2×D4×C59—22no—
134C2×D4×C59—24no—
135C2×D4×C59—22no—
136C2×D4×C59—24no—
137C2×D4×C59—24no—
138C2×D4×C59—24no—
139C2×D4×C59—24no—
140C2×D4×C59—24no—
141C2×D4×C59—24no—
142C2×D4×C59—22no—
143C2×D4×C59—22no—
144C2×D4×C59—24no—
145C2×D4×C59—22no—
146C2×D4×C59—22no—
147C2×D4×C59—48no—
148C2×D4×C59—48no—
149C2×D4×C59—44no—
150C2×D4×C59—44no—
151C2×D4×C59—48no—
152C2×D4×C59—82no—
153C2×D4×C59—82no—
154C2×D4×C59—81no—
155C2×D4×C59—81no—
156C2×D4×C59—84no—
157C2×D4×C59—84no—
158C2×D4×C59C2×D412yes—
159C2×D4×C59#4112yes—
160C22×C4×C59—22no—
161C22×C4×C59—24no—
162C22×C4×C59—21no—
163C22×C4×C59—21no—
164C22×C4×C59—21no—
165C22×C4×C59—21no—
166C22×C4×C59—22no—
167C22×C4×C59—21no—
168C22×C4×C59—24no—
169C22×C4×C59—81no—
170C22×C4×C59—81no—
171C22×C4×C59—81no—
172C22×C4×C59C2×D414yes—
173C22×C4×C59C2×D411yescharacteristic
174C22×C4×C59C2×D411yescharacteristic
175C22×C4×C59C2×D411yescharacteristic
176C22×C4×C59C2×D411yescharacteristic
177C22×C4×C59C2×D412yes—
178C22×C4×C59C2×D411yescharacteristic
179C22×C4×C59C2×D412yes—
180C4⋊C4×C59—22no—
181C4⋊C4×C59—22no—
182C4⋊C4×C59—22no—
183C4⋊C4×C59—22no—
184C4⋊C4×C59—22no—
185C4⋊C4×C59—82no—
186C4⋊C4×C59—81no—
187C22⋊C4×C59—24no—
188C22⋊C4×C59—24no—
189C22⋊C4×C59—22no—
190C22⋊C4×C59—21no—
191C22⋊C4×C59—24no—
192C22⋊C4×C59—22no—
193C22⋊C4×C59—24no—
194C22⋊C4×C59—24no—
195C22⋊C4×C59—24no—
196C22⋊C4×C59—22no—
197C22⋊C4×C59—24no—
198C22⋊C4×C59—48no—
199C22⋊C4×C59—41no—
200C22⋊C4×C59—41no—
201C22⋊C4×C59—42no—
202C22⋊C4×C59—81no—
203C22⋊C4×C59—81no—
204C22⋊C4×C59—81no—
205C22⋊C4×C59—84no—
206C22⋊C4×C59C2×D412yescomplemented
207C42×C59—21no—
208C42×C59—21no—
209C42×C59—81no—
210C23×C59—21no—
211C23×C59—21no—
212C23×C59—24no—
213C23×C59—22no—
214C23×C59—24no—
215C23×C59—24no—
216C23×C59—24no—
217C23×C59—41no—
218C23×C59—41no—
219C23×C59—41no—
220C23×C59—41no—
221C23×C59—41no—
222C23×C59—41no—
223C23×C59—41no—
224C23×C59—44no—
225C23×C59—41no—
226C23×C59—44no—
227C23×C59—44no—
228C23×C59—44no—
229C23×C59—44no—
230C23×C59—41no—
231C23×C59—41no—
232C23×C59—42no—
233C23×C59—82no—
234C23×C59—82no—
235C23×C59—84no—
236C23×C59—82no—
237C23×C59—82no—
238C23×C59#12112yes—
239C23×C59C22×D411yescharacteristic
240C23×C59C22×D412yes—
241C23×C59C22×D411yescharacteristic
242C23×C59C2×#4111yescharacteristic
243C23×C59H(5,𝔽2)12yes—
244Q8×C59—44no—
245D4×C59—24no—
246D4×C59—24no—
247D4×C59—44no—
248D4×C59—44no—
249D4×C59—48no—
250D4×C59—44no—
251D4×C59—44no—
252D4×C59—44no—
253D4×C59—44no—
254D4×C59—82no—
255D4×C59—82no—
256D4×C59—84no—
257D4×C59—82no—
258D4×C59—816no—
259C2×C4×C59—21no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—24no—
264C2×C4×C59—22no—
265C2×C4×C59—24no—
266C2×C4×C59—24no—
267C2×C4×C59—41no—
268C2×C4×C59—42no—
269C2×C4×C59—41no—
270C2×C4×C59—42no—
271C2×C4×C59—42no—
272C2×C4×C59—48no—
273C2×C4×C59—41no—
274C2×C4×C59—41no—
275C2×C4×C59—44no—
276C2×C4×C59—41no—
277C2×C4×C59—41no—
278C2×C4×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59—41no—
281C2×C4×C59—44no—
282C2×C4×C59—44no—
283C2×C4×C59—41no—
284C2×C4×C59—44no—
285C2×C4×C59—41no—
286C2×C4×C59—41no—
287C2×C4×C59—44no—
288C2×C4×C59—81no—
289C2×C4×C59#12011yescharacteristic
290C2×C4×C59#12011yescharacteristic
291C2×C4×C59#12012yes—
292C2×C4×C59#12112yes—
293#24262C5911yesmaximal, characteristic, direct product factor, Sylow
294C22×C59—21no—
295C22×C59—22no—
296C22×C59—21no—
297C22×C59—22no—
298C22×C59—22no—
299C22×C59—41no—
300C22×C59—41no—
301C22×C59—42no—
302C22×C59—42no—
303C22×C59—42no—
304C22×C59—48no—
305C22×C59—42no—
306C22×C59—41no—
307C22×C59—41no—
308C22×C59—44no—
309C22×C59—42no—
310C22×C59—44no—
311C22×C59—44no—
312C22×C59—81no—
313C22×C59—84no—
314C22×C59—84no—
315C22×C59—81no—
316C22×C59—81no—
317C22×C59—84no—
318C22×C59—81no—
319C22×C59—81no—
320C22×C59—164no—
321C22×C59C2×#12011yescharacteristic
322C22×C59C2×#12111yescharacteristic
323C22×C59#53511yescharacteristic
324C22×C59D4212yes—
325C22×C59#54612yes—
326C4×C59—22no—
327C4×C59—21no—
328C4×C59—21no—
329C4×C59—22no—
330C4×C59—42no—
331C4×C59—44no—
332C4×C59—41no—
333C4×C59—41no—
334C4×C59—81no—
335C4×C59—84no—
336C4×C59—81no—
337#3496C2×C5911yescharacteristic, complemented
338C2×B(4,𝔽2)C2×C5912yescomplemented
339#2617C2×C5912yescomplemented
340#2321C2×C5911yescharacteristic, complemented
341#2044C2×C5912yescomplemented
342#2021C2×C5912yescomplemented
343#1964C2×C5912yescomplemented
344#1799C2×C5911yescharacteristic, complemented
345#1790C2×C5912yescomplemented
346C2×C59—21no—
347C2×C59—22no—
348C2×C59—21no—
349C2×C59—22no—
350C2×C59—42no—
351C2×C59—82no—
352C2×C59—84no—
353C2×C59#240811yescharacteristic
354C2×C59#302611yescharacteristic
355C2×C59#302711yescharacteristic
356C2×H(5,𝔽2)C22×C5912yes—
357#547—22no—
358#546—24no—
359D42—22no—
360#537—21no—
361#534—21no—
362#534C22×C5912yes—
363#532—21no—
364C2×#121—21no—
365C2×#121C22×C5912yes—
366C2×#120C22×C5911yescharacteristic
367C2×#120C22×C5914yescomplemented
368C2×C4×D4C22×C5911yescharacteristic
369C22×C22⋊C4C22×C5911yescharacteristic, complemented
370B(4,𝔽2)—28no—
371C2×#99C22×C5912yes—
372C2×#99C22×C5914yescomplemented
373C2×#99C22×C5914yescomplemented
374#397—22no—
375#394—24no—
376#392—22no—
377#390—21no—
378#388—21no—
379#388—21no—
380#386—21no—
381#386C22×C5911yescharacteristic
382#386C22×C5914yescomplemented
383#385C22×C5911yescharacteristic, complemented
384#380C22×C5912yescomplemented
385#379C22×C5911yescharacteristic, complemented
386C4×C22⋊C4C22×C5911yescharacteristic, complemented
387#342C22×C5912yescomplemented
388C59#2426211yescharacteristic, direct product factor, Sylow
389C25C23×C5911yescharacteristic
390H(5,𝔽2)—24no—
391H(5,𝔽2)—24no—
392H(5,𝔽2)—44no—
393C2×#41—22no—
394C2×#41—24no—
395C22×D4—22no—
396C22×D4—24no—
397C22×D4—21no—
398C22×D4—21no—
399C22×D4—24no—
400C22×D4D4×C5912yescomplemented
401C22×D4C23×C5914yes—
402C22×D4C23×C5911yescharacteristic
403C23×C4D4×C5911yescharacteristic, complemented
404C23×C4C23×C5911yescharacteristic
405C23×C4C23×C5911yescharacteristic
406C4⋊Q8—21no—
407#127—21no—
408#124—22no—
409#123—24no—
410#123—24no—
411C22⋊Q8—24no—
412#121—22no—
413#121—22no—
414#121—24no—
415#121—22no—
416#121—22no—
417#121—22no—
418#121—22no—
419#121—22no—
420#121—22no—
421#120—24no—
422#120—24no—
423#120—22no—
424#120—28no—
425#120—44no—
426#120D4×C5914yescomplemented
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4D4×C5911yescharacteristic, complemented
435C2×C4⋊C4D4×C5912yescomplemented
436C2×C22⋊C4—22no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4D4×C5911yescharacteristic, complemented
448C2×C22⋊C4D4×C5914yescomplemented
449C2×C22⋊C4C23×C5914yes—
450C2×C22⋊C4C23×C5911yescharacteristic
451C2×C22⋊C4C23×C5911yescharacteristic
452C2×C22⋊C4C23×C5911yescharacteristic
453C2×C42—21no—
454C2×C42D4×C5911yescharacteristic, complemented
455#99—24no—
456#99—28no—
457#99—44no—
458#95—21no—
459#95—22no—
460#95—21no—
461#95—21no—
462#95—24no—
463C24—22no—
464C24—21no—
465C24—22no—
466C24—21no—
467C24—22no—
468C24—81no—
469C24—81no—
470C24C2×D4×C5914yes—
471C24C2×D4×C5911yescharacteristic
472C24C2×D4×C5912yescomplemented
473C24C24×C5911yescharacteristic
474#41—48no—
475#41—48no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—24no—
484C2×D4—24no—
485C2×D4—24no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—22no—
490C2×D4—22no—
491C2×D4—24no—
492C2×D4—22no—
493C2×D4—22no—
494C2×D4—48no—
495C2×D4—48no—
496C2×D4—44no—
497C2×D4—44no—
498C2×D4—48no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—81no—
502C2×D4—81no—
503C2×D4—84no—
504C2×D4—84no—
505C2×D4C2×D4×C5912yes—
506C2×D4#41×C5912yes—
507C22×C4—22no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—24no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4C2×D4×C5914yes—
520C22×C4C2×D4×C5911yescharacteristic
521C22×C4C2×D4×C5911yescharacteristic
522C22×C4C2×D4×C5911yescharacteristic
523C22×C4C2×D4×C5911yescharacteristic
524C22×C4C2×D4×C5912yes—
525C22×C4C2×D4×C5911yescharacteristic
526C22×C4C2×D4×C5912yes—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—82no—
533C4⋊C4—81no—
534C22⋊C4—24no—
535C22⋊C4—24no—
536C22⋊C4—22no—
537C22⋊C4—21no—
538C22⋊C4—24no—
539C22⋊C4—22no—
540C22⋊C4—24no—
541C22⋊C4—24no—
542C22⋊C4—24no—
543C22⋊C4—22no—
544C22⋊C4—24no—
545C22⋊C4—48no—
546C22⋊C4—41no—
547C22⋊C4—41no—
548C22⋊C4—42no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C22⋊C4—84no—
553C22⋊C4C2×D4×C5912yescomplemented
554C42—21no—
555C42—21no—
556C42—81no—
557C23—21no—
558C23—21no—
559C23—24no—
560C23—22no—
561C23—24no—
562C23—24no—
563C23—24no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—44no—
572C23—41no—
573C23—44no—
574C23—44no—
575C23—44no—
576C23—44no—
577C23—41no—
578C23—41no—
579C23—42no—
580C23—82no—
581C23—82no—
582C23—84no—
583C23—82no—
584C23—82no—
585C23#121×C5912yes—
586C23C22×D4×C5911yescharacteristic
587C23C22×D4×C5912yes—
588C23C22×D4×C5911yescharacteristic
589C23C2×#41×C5911yescharacteristic
590C23H(5,𝔽2)×C5912yes—
591Q8—44no—
592D4—24no—
593D4—24no—
594D4—44no—
595D4—44no—
596D4—48no—
597D4—44no—
598D4—44no—
599D4—44no—
600D4—44no—
601D4—82no—
602D4—82no—
603D4—84no—
604D4—82no—
605D4—816no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—41no—
615C2×C4—42no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—48no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—44no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—44no—
629C2×C4—44no—
630C2×C4—41no—
631C2×C4—44no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—44no—
635C2×C4—81no—
636C2×C4#120×C5911yescharacteristic
637C2×C4#120×C5911yescharacteristic
638C2×C4#120×C5912yes—
639C2×C4#121×C5912yes—
640C22—21no—
641C22—22no—
642C22—21no—
643C22—22no—
644C22—22no—
645C22—41no—
646C22—41no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—48no—
651C22—42no—
652C22—41no—
653C22—41no—
654C22—44no—
655C22—44no—
656C22—44no—
657C22—42no—
658C22—81no—
659C22—84no—
660C22—84no—
661C22—81no—
662C22—81no—
663C22—84no—
664C22—81no—
665C22—81no—
666C22—164no—
667C22C2×#120×C5911yescharacteristic
668C22C2×#121×C5911yescharacteristic
669C22C59×#53511yescharacteristic
670C22D42×C5912yes—
671C22C59×#54612yes—
672C4—21no—
673C4—21no—
674C4—22no—
675C4—22no—
676C4—42no—
677C4—41no—
678C4—41no—
679C4—44no—
680C4—84no—
681C4—81no—
682C4—81no—
683C2—21no—
684C2—22no—
685C2—21no—
686C2—22no—
687C2—42no—
688C2—82no—
689C2—84no—
690C2C59×#240811yescharacteristic
691C2C59×#302611yescharacteristic
692C2C59×#302711yescharacteristic
subgroupG/H
center, socleC22×C59C2×#120
commutator, Frattini, cosocleC24C24×C59
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C59 ◁ C23×C4×C59 ◁ G

Complements

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

NH ≅ G/Ntype
1. C59×#3496C2semidirect
2. C2×C59×B(4,𝔽2)C2semidirect
3. C59×#2617C2semidirect
4. C59×#2321C2semidirect
5. C59×#2044C2semidirect
6. C59×#2021C2semidirect
7. C59×#1964C2semidirect
8. C59×#1799C2semidirect
9. C59×#1790C2semidirect
21. C2×#120×C59C22semidirect
23. C22×C22⋊C4×C59C22semidirect
26. C2×#99×C59C22semidirect
27. C2×#99×C59C22semidirect
36. C59×#386C22semidirect
37. C59×#385C22semidirect
38. C59×#380C22semidirect
39. C59×#379C22semidirect
40. C4×C22⋊C4×C59C22semidirect
41. C59×#342C22semidirect
53. C22×D4×C59D4semidirect
56. C23×C4×C59D4semidirect
79. #120×C59D4semidirect
87. C2×C4⋊C4×C59D4semidirect
88. C2×C4⋊C4×C59D4semidirect
100. C2×C22⋊C4×C59D4semidirect
101. C2×C22⋊C4×C59D4semidirect
107. C2×C42×C59D4semidirect
125. C24×C59C2×D4semidirect
206. C22⋊C4×C59C2×D4semidirect
293. #24262C59direct (N × H)
337. #3496C2×C59semidirect
338. C2×B(4,𝔽2)C2×C59semidirect
339. #2617C2×C59semidirect
340. #2321C2×C59semidirect
341. #2044C2×C59semidirect
342. #2021C2×C59semidirect
343. #1964C2×C59semidirect
344. #1799C2×C59semidirect
345. #1790C2×C59semidirect
367. C2×#120C22×C59semidirect
369. C22×C22⋊C4C22×C59semidirect
372. C2×#99C22×C59semidirect
373. C2×#99C22×C59semidirect
382. #386C22×C59semidirect
383. #385C22×C59semidirect
384. #380C22×C59semidirect
385. #379C22×C59semidirect
386. C4×C22⋊C4C22×C59semidirect
387. #342C22×C59semidirect
388. C59#24262direct (N × H)
400. C22×D4D4×C59semidirect
403. C23×C4D4×C59semidirect
426. #120D4×C59semidirect
434. C2×C4⋊C4D4×C59semidirect
435. C2×C4⋊C4D4×C59semidirect
447. C2×C22⋊C4D4×C59semidirect
448. C2×C22⋊C4D4×C59semidirect
454. C2×C42D4×C59semidirect
472. C24C2×D4×C59semidirect
553. C22⋊C4C2×D4×C59semidirect

Maximal subgroups

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

subgroupindex
C59×#34962
C2×C59×B(4,𝔽2)2
C59×#26172
C59×#23212
C59×#20442
C59×#20212
C59×#19642
C59×#17992
C59×#17902
#2426259