Finite Group Databasebeta

← D59×#1928 #28591071

Subgroups — D59×#1928 #28591071

Order 15104.

1238 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#107×D59C211yesmaximal, characteristic
2C2×#103×D59C211yesmaximal, characteristic
3C2×#103×D59C211yesmaximal, characteristic
4#391×D59C211yesmaximal, characteristic
5C4×C4⋊C4×D59C211yesmaximal, characteristic
6#21424740C211yesmaximal, characteristic, complemented
7#21424739C211yesmaximal, characteristic, complemented
8#21424738C211yesmaximal, characteristic, complemented
9#21424737C211yesmaximal, characteristic, complemented
10#21424736C211yesmaximal, characteristic, complemented
11#21424735C211yesmaximal, characteristic, complemented
12#21424734C211yesmaximal, characteristic, complemented
13#340×D59C211yesmaximal, characteristic
14#336×D59C211yesmaximal, characteristic
15C59×#1928C211yesmaximal, characteristic, complemented
16C22×Q8×D59C2211yescharacteristic
17C22×C8×D59C2211yescharacteristic
18C22×C8×D59C2211yescharacteristic
19C2×C4⋊C4×D59C2211yescharacteristic
20C2×C4⋊C4×D59C2211yescharacteristic
21C2×C4⋊C4×D59C2211yescharacteristic
22C2×C42×D59—21no—
23C2×C42×D59C2211yescharacteristic
24C2×#14273661C2211yescharacteristic
25C2×#14273660C2211yescharacteristic
26C2×#14273660C2211yescharacteristic
27#107×D59—24no—
28C2×#14273652C2211yescharacteristic
29C2×#14273652C2211yescharacteristic
30C2×#14273651C2211yescharacteristic
31C2×#14273651C2211yescharacteristic
32C2×#14273650C2211yescharacteristic
33C2×#14273650C2211yescharacteristic
34#103×D59—24no—
35#103×D59C418yescomplemented
36#16837309C2211yescharacteristic
37#16837308C2211yescharacteristic
38#16837307C2211yescharacteristic
39#16837306—21no—
40#16837306—21no—
41C4⋊C4×Dic59C2211yescharacteristic
42C4⋊C4×Dic59C2211yescharacteristic
43C4×Dic59⋊C4—21no—
44C4×C4⋊Dic59C2211yescharacteristic
45#16837253—21no—
46#95×D59—21no—
47#95×D59—21no—
48#95×D59—21no—
49#16837165C2211yescharacteristic
50#16837164C2211yescharacteristic
51#16837164C2211yescharacteristic
52#16837157C2211yescharacteristic
53#16837156C2211yescharacteristic
54#16837156C2211yescharacteristic
55C2×#107×C59C2211yescharacteristic
56C2×#103×C59C2211yescharacteristic
57C2×#103×C59C2211yescharacteristic
58C59×#391C2211yescharacteristic
59C4×C4⋊C4×C59C2211yescharacteristic
60C59×#340C2211yescharacteristic
61C59×#336C2211yescharacteristic
62C22×Dic118—21no—
63C22×Dic118C2311yescharacteristic
64C2×Q8×D59—22no—
65C2×Q8×D59—22no—
66C2×Q8×D59—22no—
67C2×Q8×D59—22no—
68C2×Q8×D59—22no—
69C2×Q8×D59C2×C414yes—
70C22×C4×D59—21no—
71C22×C4×D59—21no—
72C22×C4×D59—21no—
73C22×C4×D59—21no—
74C22×C4×D59D411yescharacteristic
75C22×C4×D59D411yescharacteristic
76C22×C4×D59C2311yescharacteristic
77C22×C59⋊C8C2311yescharacteristic
78C22×C59⋊C8C2311yescharacteristic
79C2×C8×D59—22no—
80C2×C8×D59—22no—
81C2×C8×D59—22no—
82C2×C8×D59—22no—
83C2×C8×D59—22no—
84C2×C8×D59C2×C414yes—
85C2×C4⋊Dic59C2311yescharacteristic
86C2×C4⋊Dic59C2311yescharacteristic
87C2×C4⋊Dic59C2311yescharacteristic
88C2×Dic59⋊C4—21no—
89C2×Dic59⋊C4—21no—
90C2×Dic59⋊C4—21no—
91C4⋊C4×D59—22no—
92C4⋊C4×D59—22no—
93C4⋊C4×D59—22no—
94C4⋊C4×D59—22no—
95C4⋊C4×D59C2×C414yes—
96C4⋊C4×D59D414yes—
97C2×C4×Dic59—21no—
98C2×C4×Dic59—21no—
99C2×C4×Dic59—21no—
100C2×C4×Dic59D411yescharacteristic
101C2×C4×Dic59D411yescharacteristic
102C2×C4×Dic59C2311yescharacteristic
103C42×D59—22no—
104C42×D59—22no—
105C42×D59—44no—
106#14273661—22no—
107#14273660—22no—
108#14273660—22no—
109#14273652—22no—
110#14273652C2×C414yescomplemented
111#14273651—22no—
112#14273651C2×C414yescomplemented
113#14273650—22no—
114#14273650C2×C414yescomplemented
115C59⋊#95—21no—
116C59⋊#95—21no—
117C59⋊#95—21no—
118C59⋊#95—21no—
119C59⋊#95—21no—
120C59⋊#95—21no—
121C59⋊#95—21no—
122C59⋊#95—21no—
123C59⋊#95—21no—
124C22×Q8×C59C2311yescharacteristic
125C22×C8×C59C2311yescharacteristic
126C22×C8×C59C2311yescharacteristic
127C2×C4⋊C4×C59C2311yescharacteristic
128C2×C4⋊C4×C59C2311yescharacteristic
129C2×C4⋊C4×C59C2311yescharacteristic
130C2×C42×C59—21no—
131C2×C42×C59C2311yescharacteristic
132#107×C59—22no—
133#103×C59—22no—
134#103×C59C2×C414yescomplemented
135#95×C59—21no—
136#95×C59—21no—
137#95×C59—21no—
138C23×D59C2×D411yescharacteristic
139C2×Q8×C59—21no—
140C2×Q8×C59—21no—
141C2×Q8×C59—21no—
142C2×Q8×C59—21no—
143C2×Q8×C59—21no—
144C2×Q8×C59C22×C412yes—
145C22×C4×C59—21no—
146C22×C4×C59—21no—
147C22×C4×C59—21no—
148C22×C4×C59—21no—
149C22×C4×C59C2×D411yescharacteristic
150C22×C4×C59C2×D411yescharacteristic
151C22×C4×C59C2411yescharacteristic
152C22×Dic59—21no—
153C22×Dic59—21no—
154C22×Dic59—21no—
155C22×Dic59—21no—
156C22×Dic59C2×D411yescharacteristic
157C22×Dic59C2×D411yescharacteristic
158C22×Dic59C2×D411yescharacteristic
159Q8×D59—28no—
160Q8×D59—28no—
161Q8×D59—44no—
162Q8×D59—44no—
163C2×C4×D59—22no—
164C2×C4×D59—22no—
165C2×C4×D59—24no—
166C2×C4×D59—24no—
167C2×C4×D59—24no—
168C2×C4×D59—22no—
169C2×C4×D59—22no—
170C2×C4×D59—22no—
171C2×C4×D59—42no—
172C2×C4×D59—42no—
173C2×C4×D59—42no—
174C2×C4×D59—42no—
175C2×C4×D59—42no—
176C2×C4×D59—42no—
177C2×C4×D59—42no—
178C2×C4×D59—42no—
179C2×C4×D59—42no—
180C2×C4×D59Q1614yes—
181C2×C4×D59C22×C412yes—
182C2×C4×D59C2×D412yes—
183C2×C4×D59#4112yes—
184C2×C4×D59#4112yes—
185C2×C4×D59#4112yes—
186C2×C4×D59#4112yes—
187C2×Dic118—21no—
188C2×Dic118—21no—
189C2×Dic118—21no—
190C2×Dic118—21no—
191C2×Dic118—21no—
192C2×Dic118—24no—
193C2×Dic118—42no—
194C2×Dic118—42no—
195C2×Dic118C22×C412yes—
196C2×C8×C59—21no—
197C2×C8×C59—21no—
198C2×C8×C59—21no—
199C2×C8×C59—21no—
200C2×C8×C59—21no—
201C2×C8×C59C22×C412yes—
202C4⋊C4×C59—21no—
203C4⋊C4×C59—21no—
204C4⋊C4×C59—21no—
205C4⋊C4×C59—21no—
206C4⋊C4×C59C22×C412yes—
207C4⋊C4×C59C2×D412yes—
208C42×C59—21no—
209C42×C59—21no—
210C42×C59—42no—
211C4⋊Dic59—21no—
212C4⋊Dic59—21no—
213C4⋊Dic59—21no—
214C4⋊Dic59—21no—
215C4⋊Dic59C22×C412yes—
216C4⋊Dic59C2×D412yes—
217Dic59⋊C4—24no—
218Dic59⋊C4—24no—
219Dic59⋊C4—42no—
220C4×Dic59—21no—
221C4×Dic59—21no—
222C4×Dic59—22no—
223C4×Dic59—22no—
224C4×Dic59—42no—
225C4×Dic59—42no—
226C4×Dic59—42no—
227C2×C59⋊C8—21no—
228C2×C59⋊C8—21no—
229C2×C59⋊C8—21no—
230C2×C59⋊C8—21no—
231C2×C59⋊C8—21no—
232C2×C59⋊C8C22×C412yes—
233C8×D59—28no—
234C8×D59—44no—
235C23×C59C22×D411yescharacteristic
236C22×D59C4×D412yes—
237C22×D59#12112yes—
238C22×D59#12312yes—
239C22×D59C2×Q1612yes—
240C22×D59#13512yes—
241C22×D59AGL(1,ℤ/8)12yes—
242C22×D59#13712yes—
243Q8×C59—22no—
244Q8×C59—22no—
245Q8×C59—41no—
246Q8×C59—41no—
247C2×C4×C59—21no—
248C2×C4×C59—21no—
249C2×C4×C59—22no—
250C2×C4×C59—22no—
251C2×C4×C59—22no—
252C2×C4×C59—21no—
253C2×C4×C59—21no—
254C2×C4×C59—21no—
255C2×C4×C59—41no—
256C2×C4×C59—41no—
257C2×C4×C59—41no—
258C2×C4×C59—41no—
259C2×C4×C59—41no—
260C2×C4×C59—41no—
261C2×C4×C59—41no—
262C2×C4×C59—41no—
263C2×C4×C59—41no—
264C2×C4×C59C2×Q1612yes—
265C2×C4×C59C23×C411yescharacteristic
266C2×C4×C59C22×D411yescharacteristic
267C2×C4×C59C2×#4111yescharacteristic
268C2×C4×C59C2×#4111yescharacteristic
269C2×C4×C59C2×#4111yescharacteristic
270C2×C4×C59C2×#4111yescharacteristic
271C2×Dic59—21no—
272C2×Dic59—21no—
273C2×Dic59—22no—
274C2×Dic59—22no—
275C2×Dic59—22no—
276C2×Dic59—21no—
277C2×Dic59—21no—
278C2×Dic59—21no—
279C2×Dic59—41no—
280C2×Dic59—41no—
281C2×Dic59—41no—
282C2×Dic59—41no—
283C2×Dic59—41no—
284C2×Dic59—41no—
285C2×Dic59—41no—
286C2×Dic59—41no—
287C2×Dic59—41no—
288C2×Dic59C4×D412yes—
289C2×Dic59#12112yes—
290C2×Dic59#12312yes—
291C2×Dic59C2×Q1612yes—
292C4×D59—28no—
293C4×D59—48no—
294C4×D59—48no—
295C4×D59—48no—
296C4×D59—44no—
297C4×D59—84no—
298C4×D59#11714yes—
299C4×D59C4×D414yes—
300C4×D59#12414yes—
301C4×D59#12614yes—
302Dic118—22no—
303Dic118—22no—
304Dic118—41no—
305Dic118—41no—
306Dic118—48no—
307C8×C59—22no—
308C8×C59—41no—
309C59⋊C8—22no—
310C59⋊C8—41no—
311C2×#1928—591nomaximal, Sylow
312C22×C59C2×C4×D411yescharacteristic
313C22×C59C2×#12111yescharacteristic
314C22×C59C2×#12311yescharacteristic
315C22×C59C22×Q1611yescharacteristic
316C22×C59C2×#13511yescharacteristic
317C22×C59C2×AGL(1,ℤ/8)11yescharacteristic
318C22×C59C2×#13711yescharacteristic
319C2×D59#38814yes—
320C2×D59C4×Q1614yes—
321C2×D59#44014yes—
322C2×D59#46214yes—
323C2×D59#46314yes—
324C2×D59#48414yes—
325C2×D59#48514yes—
326C4×C59—22no—
327C4×C59—41no—
328C4×C59—42no—
329C4×C59—42no—
330C4×C59—42no—
331C4×C59—81no—
332C4×C59C2×#11711yescharacteristic
333C4×C59C2×C4×D411yescharacteristic
334C4×C59C2×#12411yescharacteristic
335C4×C59C2×#12611yescharacteristic
336Dic59—22no—
337Dic59—41no—
338Dic59—42no—
339Dic59—42no—
340Dic59—42no—
341Dic59—81no—
342Dic59#38814yes—
343C22×#107—591no—
344C22×#103—591no—
345C22×#103—591no—
346C2×#391—591no—
347C2×C4×C4⋊C4—591no—
348#1928—591no—
349#1928—591no—
350#1928—591no—
351#1928—591no—
352#1928—591no—
353#1928—591no—
354#1928—591no—
355#1928D5911yescharacteristic, direct product factor
356C2×#340—591no—
357C2×#336—591no—
358C2×C59C2×#38811yescharacteristic
359C2×C59C2×C4×Q1611yescharacteristic
360C2×C59C2×#44011yescharacteristic
361C2×C59C2×#46311yescharacteristic
362C2×C59C2×#46211yescharacteristic
363C2×C59C2×#48511yescharacteristic
364C2×C59C2×#48411yescharacteristic
365D59#192818yesdirect product factor
366C23×Q8—591no—
367C23×C8—591no—
368C23×C8—591no—
369C22×C4⋊C4—591no—
370C22×C4⋊C4—591no—
371C22×C4⋊C4—591no—
372C22×C42—591no—
373C22×C42—1181no—
374C2×#107—591no—
375C2×#107—591no—
376C2×#107—591no—
377C2×#107—1184no—
378C2×#107C2×D5911yescharacteristic
379C2×#103—591no—
380C2×#103—591no—
381C2×#103—591no—
382C2×#103—598no—
383C2×#103—591no—
384C2×#103—591no—
385C2×#103—591no—
386C2×#103—1184no—
387C2×#103C2×D5911yescharacteristic
388C2×#103C2×D5911yescharacteristic
389#391—591no—
390#391—591no—
391#391—591no—
392#391—1181no—
393#391—1181no—
394#391C2×D5911yescharacteristic
395C4×C4⋊C4—591no—
396C4×C4⋊C4—591no—
397C4×C4⋊C4—591no—
398C4×C4⋊C4—1181no—
399C4×C4⋊C4—1181no—
400C4×C4⋊C4C2×D5911yescharacteristic
401C2×#95—1181no—
402C2×#95—1181no—
403C2×#95—1181no—
404#340—591no—
405#340—591no—
406#340—591no—
407#340C2×D5911yescharacteristic
408#336—591no—
409#336—591no—
410#336—591no—
411#336C2×D5911yescharacteristic
412C59C2×#192811yescharacteristic, complemented, Sylow
413C22×Q8—594no—
414C22×Q8—591no—
415C22×Q8—1181no—
416C22×Q8—1182no—
417C22×Q8—1182no—
418C22×Q8—1182no—
419C22×Q8—1182no—
420C22×Q8—1182no—
421C22×Q8C22×D5911yescharacteristic
422C23×C4—591no—
423C23×C4—591no—
424C23×C4—591no—
425C23×C4—1181no—
426C23×C4—1181no—
427C23×C4—1181no—
428C23×C4—1181no—
429C22×C8—591no—
430C22×C8—594no—
431C22×C8—591no—
432C22×C8—1182no—
433C22×C8—1182no—
434C22×C8—1182no—
435C22×C8—1182no—
436C22×C8—1182no—
437C22×C8C22×D5911yescharacteristic
438C22×C8C22×D5911yescharacteristic
439C2×C4⋊C4—591no—
440C2×C4⋊C4—591no—
441C2×C4⋊C4—594no—
442C2×C4⋊C4—594no—
443C2×C4⋊C4—591no—
444C2×C4⋊C4—1182no—
445C2×C4⋊C4—1182no—
446C2×C4⋊C4—1182no—
447C2×C4⋊C4—1182no—
448C2×C4⋊C4—1181no—
449C2×C4⋊C4—1181no—
450C2×C4⋊C4—1181no—
451C2×C4⋊C4C22×D5911yescharacteristic
452C2×C4⋊C4C22×D5911yescharacteristic
453C2×C4⋊C4C22×D5911yescharacteristic
454C2×C42—21no—
455C2×C42—591no—
456C2×C42—591no—
457C2×C42—591no—
458C2×C42—1182no—
459C2×C42—1182no—
460C2×C42—1181no—
461C2×C42—1181no—
462C2×C42—1181no—
463C2×C42—2364no—
464C2×C42C22×D5911yescharacteristic
465#107—22no—
466#107—1182no—
467#107—1182no—
468#107—1182no—
469#103—22no—
470#103—594no—
471#103—594no—
472#103—594no—
473#103—1182no—
474#103—1182no—
475#103—1182no—
476#103C4×D5914yescomplemented
477#95—21no—
478#95—21no—
479#95—21no—
480#95—1181no—
481#95—1181no—
482#95—1181no—
483#95—1181no—
484#95—1181no—
485#95—1181no—
486#95—1181no—
487#95—1181no—
488#95—1181no—
489C24—591no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—592no—
496C2×Q8—1184no—
497C2×Q8—1188no—
498C2×Q8—1188no—
499C2×Q8—1181no—
500C2×Q8—1181no—
501C2×Q8—1181no—
502C2×Q8—1181no—
503C2×Q8—1181no—
504C2×Q8—2362no—
505C2×Q8—2362no—
506C2×Q8—2364no—
507C2×Q8—2364no—
508C2×Q8C2×C4×D5912yes—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—591no—
514C22×C4—592no—
515C22×C4—592no—
516C22×C4—592no—
517C22×C4—592no—
518C22×C4—592no—
519C22×C4—592no—
520C22×C4—591no—
521C22×C4—594no—
522C22×C4—591no—
523C22×C4—1182no—
524C22×C4—1182no—
525C22×C4—1182no—
526C22×C4—1184no—
527C22×C4—1184no—
528C22×C4—1182no—
529C22×C4—1182no—
530C22×C4—1184no—
531C22×C4—1181no—
532C22×C4—1181no—
533C22×C4—1181no—
534C22×C4—1181no—
535C22×C4—2362no—
536C22×C4—2362no—
537C22×C4—2362no—
538C22×C4—2362no—
539C22×C4—2362no—
540C22×C4—2362no—
541C22×C4—2362no—
542C22×C4—2362no—
543C22×C4—2362no—
544C22×C4D4×D5911yescharacteristic
545C22×C4D4×D5911yescharacteristic
546C22×C4C23×D5911yescharacteristic
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—592no—
553C2×C8—1188no—
554C2×C8—1181no—
555C2×C8—1181no—
556C2×C8—1181no—
557C2×C8—1181no—
558C2×C8—1181no—
559C2×C8—2364no—
560C2×C8C2×C4×D5912yes—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—592no—
566C4⋊C4—592no—
567C4⋊C4—1184no—
568C4⋊C4—1184no—
569C4⋊C4—1181no—
570C4⋊C4—1181no—
571C4⋊C4—1181no—
572C4⋊C4—1181no—
573C4⋊C4—2362no—
574C4⋊C4C2×C4×D5912yes—
575C4⋊C4D4×D5912yes—
576C42—21no—
577C42—21no—
578C42—42no—
579C42—1182no—
580C42—1182no—
581C42—1181no—
582C42—1181no—
583C42—2362no—
584C42—2362no—
585C42—2362no—
586C23—592no—
587C23—592no—
588C23—592no—
589C23—592no—
590C23—592no—
591C23—592no—
592C23—592no—
593C23C2×D4×D5911yescharacteristic
594Q8—22no—
595Q8—22no—
596Q8—41no—
597Q8—41no—
598Q8—1182no—
599Q8—1182no—
600Q8—2368no—
601Q8—2361no—
602Q8—2361no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—592no—
621C2×C4—592no—
622C2×C4—592no—
623C2×C4—594no—
624C2×C4—594no—
625C2×C4—594no—
626C2×C4—594no—
627C2×C4—592no—
628C2×C4—1188no—
629C2×C4—1181no—
630C2×C4—1181no—
631C2×C4—1182no—
632C2×C4—1181no—
633C2×C4—1181no—
634C2×C4—1181no—
635C2×C4—1182no—
636C2×C4—1182no—
637C2×C4—4724no—
638C2×C4—2364no—
639C2×C4—2368no—
640C2×C4—2368no—
641C2×C4—2368no—
642C2×C4—2361no—
643C2×C4—2361no—
644C2×C4—2361no—
645C2×C4—2361no—
646C2×C4—2361no—
647C2×C4—2361no—
648C2×C4—2361no—
649C2×C4—2361no—
650C2×C4—2361no—
651C2×C4Q16×D5912yes—
652C2×C4C22×C4×D5911yescharacteristic
653C2×C4C2×D4×D5911yescharacteristic
654C2×C4#41×D5911yescharacteristic
655C2×C4#41×D5911yescharacteristic
656C2×C4#41×D5911yescharacteristic
657C2×C4#41×D5911yescharacteristic
658C8—22no—
659C8—41no—
660C8—1182no—
661C8—2361no—
662C22—594no—
663C22—594no—
664C22—594no—
665C22—594no—
666C22—594no—
667C22—594no—
668C22—594no—
669C22C4×D4×D5911yescharacteristic
670C22#121×D5911yescharacteristic
671C22#123×D5911yescharacteristic
672C22C2×Q16×D5911yescharacteristic
673C22#135×D5911yescharacteristic
674C22AGL(1,ℤ/8)×D5911yescharacteristic
675C22#137×D5911yescharacteristic
676C4—22no—
677C4—42no—
678C4—42no—
679C4—41no—
680C4—42no—
681C4—81no—
682C4—594no—
683C4—1182no—
684C4—4721no—
685C4—2362no—
686C4—2362no—
687C4—2361no—
688C4—2362no—
689C4#117×D5911yescharacteristic
690C4C4×D4×D5911yescharacteristic
691C4#124×D5911yescharacteristic
692C4#126×D5911yescharacteristic
693C2—598no—
694C2#388×D5911yescharacteristic
695C2C4×Q16×D5911yescharacteristic
696C2#440×D5911yescharacteristic
697C2#463×D5911yescharacteristic
698C2#462×D5911yescharacteristic
699C2#485×D5911yescharacteristic
700C2#484×D5911yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutatorC2×C4×C59C23×C4
FrattiniC22×C4C23×D59
FittingC59×#1928C2
socleC23×C59C22×D4
prime radicalC23×D59C2×D4
cosocleC22×C4×C59C24
hypercenter#1928D59
hypocenterC59C2×#1928
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1928

Complements

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

NH ≅ G/Ntype
6. #21424740C2semidirect
7. #21424739C2semidirect
8. #21424738C2semidirect
9. #21424737C2semidirect
10. #21424736C2semidirect
11. #21424735C2semidirect
12. #21424734C2semidirect
15. C59×#1928C2semidirect
35. #103×D59C4semidirect
110. #14273652C2×C4semidirect
112. #14273651C2×C4semidirect
114. #14273650C2×C4semidirect
134. #103×C59C2×C4semidirect
355. #1928D59direct (N × H)
365. D59#1928direct (N × H)
412. C59C2×#1928semidirect
476. #103C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#107×D592
C2×#103×D592
#391×D592
C4×C4⋊C4×D592
#214247402
#214247392
#214247382
#214247372
#214247362
#214247352
#214247342
#340×D592
#336×D592
C59×#19282
C2×#192859