Finite Group Databasebeta

← #28512384

Subgroups — #28512384

Order 15104.

1442 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837288C212yesmaximal
2C2×C4⋊C4×Dic59C211yesmaximal, characteristic
3C2×C4×C4⋊Dic59C211yesmaximal, characteristic
4#21422358C212yesmaximal
5#21422349C212yesmaximal
6#21422326C211yesmaximal, characteristic
7#21422325C211yesmaximal, characteristic
8#21422325C211yesmaximal, characteristic
9#21422325C211yesmaximal, characteristic
10#21422321C212yesmaximal
11C2×C59×#389C211yesmaximal, characteristic
12C22×C4⋊Dic59C2211yescharacteristic
13C22×C4⋊Dic59C2211yescharacteristic
14C22×C4⋊Dic59C2211yescharacteristic
15C22×C4⋊Dic59C2211yescharacteristic
16C22×C4×Dic59C2212yes—
17C22×C4×Dic59C2211yescharacteristic
18C22×C4×Dic59C2211yescharacteristic
19#16837288—28no—
20C4⋊C4×Dic59—24no—
21C4×C4⋊Dic59—24no—
22C2×C59⋊#95C2212yes—
23C2×C59⋊#95C2212yes—
24C2×C59⋊#95C2212yes—
25C2×C59⋊#95C2211yescharacteristic
26C2×C59⋊#95C2212yes—
27C2×C59⋊#95C2212yes—
28C2×C59⋊#95C2212yes—
29C2×C59⋊#95C2211yescharacteristic
30C2×C59⋊#95C2212yes—
31C2×C59⋊#95C2212yes—
32C2×C59⋊#95C2212yes—
33C22×C4⋊C4×C59C2211yescharacteristic
34C22×C4⋊C4×C59C2212yes—
35C22×C4⋊C4×C59C2211yescharacteristic
36C22×C42×C59C2211yescharacteristic
37C59×#389C418yescomplemented
38C2×#95×C59C2212yes—
39C23×Dic59C2312yes—
40C23×Dic59C2311yescharacteristic
41C23×Dic59C2311yescharacteristic
42C23×Dic59C2312yes—
43C23×Dic59C2311yescharacteristic
44C23×Dic59C2311yescharacteristic
45C2×C4⋊Dic59—22no—
46C2×C4⋊Dic59—22no—
47C2×C4⋊Dic59—22no—
48C2×C4⋊Dic59—22no—
49C2×C4⋊Dic59—22no—
50C2×C4⋊Dic59—22no—
51C2×C4⋊Dic59—22no—
52C2×C4⋊Dic59—22no—
53C2×C4⋊Dic59—22no—
54C2×C4⋊Dic59—22no—
55C2×C4⋊Dic59D414yes—
56C2×C4⋊Dic59Q814yes—
57C2×C4×Dic59—22no—
58C2×C4×Dic59—22no—
59C2×C4×Dic59—22no—
60C2×C4×Dic59—22no—
61C2×C4×Dic59—22no—
62C2×C4×Dic59—24no—
63C2×C4×Dic59—24no—
64C2×C4×Dic59—24no—
65C2×C4×Dic59D414yes—
66C59⋊#95—24no—
67C59⋊#95—22no—
68C59⋊#95—22no—
69C59⋊#95—24no—
70C59⋊#95—24no—
71C59⋊#95—24no—
72C59⋊#95—24no—
73C59⋊#95—24no—
74C59⋊#95—42no—
75C59⋊#95—42no—
76C59⋊#95—42no—
77C23×C4×C59C2311yescharacteristic
78C23×C4×C59C2312yes—
79C23×C4×C59C2312yes—
80C23×C4×C59C2311yescharacteristic
81C23×C4×C59C2311yescharacteristic
82C2×C4⋊C4×C59—22no—
83C2×C4⋊C4×C59—24no—
84C2×C4⋊C4×C59—22no—
85C2×C4⋊C4×C59—22no—
86C2×C4⋊C4×C59—24no—
87C2×C4⋊C4×C59—22no—
88C2×C4⋊C4×C59C2×C414yes—
89C2×C4⋊C4×C59C2×C418yes—
90C2×C4⋊C4×C59C2×C414yes—
91C2×C42×C59—22no—
92C2×C42×C59—22no—
93C2×C42×C59C2×C414yes—
94#95×C59C2×C418yes—
95C24×C59C2411yescharacteristic
96C22×C4×C59—21no—
97C22×C4×C59—21no—
98C22×C4×C59—21no—
99C22×C4×C59—21no—
100C22×C4×C59—21no—
101C22×C4×C59—22no—
102C22×C4×C59—22no—
103C22×C4×C59—22no—
104C22×C4×C59—21no—
105C22×C4×C59—22no—
106C22×C4×C59—22no—
107C22×C4×C59—22no—
108C22×C4×C59—22no—
109C22×C4×C59—22no—
110C22×C4×C59—22no—
111C22×C4×C59—22no—
112C22×C4×C59—21no—
113C22×C4×C59—22no—
114C22×C4×C59—21no—
115C22×C4×C59—21no—
116C22×C4×C59—21no—
117C22×C4×C59—22no—
118C22×C4×C59C22×C412yes—
119C22×C4×C59C22×C414yes—
120C22×C4×C59C22×C414yes—
121C22×C4×C59C22×C412yes—
122C22×C4×C59C22×C412yes—
123C22×C4×C59C2×D412yes—
124C22×C4×C59C2×D412yes—
125C22×C4×C59C2×Q812yes—
126C22×C4×C59#4112yes—
127C22×C4×C59#4112yes—
128C22×C4×C59#4112yes—
129C22×C4×C59#4112yes—
130C22×C4×C59#4112yes—
131C22×Dic59—21no—
132C22×Dic59—21no—
133C22×Dic59—21no—
134C22×Dic59—21no—
135C22×Dic59—22no—
136C22×Dic59—21no—
137C22×Dic59—22no—
138C22×Dic59—21no—
139C22×Dic59—21no—
140C22×Dic59—21no—
141C22×Dic59—21no—
142C22×Dic59—21no—
143C22×Dic59—21no—
144C22×Dic59—21no—
145C22×Dic59—22no—
146C22×Dic59—21no—
147C22×Dic59—22no—
148C22×Dic59—21no—
149C22×Dic59—21no—
150C22×Dic59—21no—
151C22×Dic59—21no—
152C22×Dic59—21no—
153C22×Dic59—22no—
154C22×Dic59—21no—
155C22×Dic59—21no—
156C22×Dic59—21no—
157C22×Dic59—22no—
158C22×Dic59—21no—
159C22×Dic59—22no—
160C22×Dic59—22no—
161C22×Dic59—22no—
162C22×Dic59—22no—
163C22×Dic59—22no—
164C22×Dic59—22no—
165C22×Dic59—22no—
166C22×Dic59C2×D412yes—
167C22×Dic59C2×D412yes—
168C22×Dic59C2×D412yes—
169C22×Dic59C2×D412yes—
170C22×Dic59C2×Q814yes—
171C22×Dic59#4112yes—
172C22×Dic59#4112yes—
173C4⋊C4×C59—28no—
174C4⋊C4×C59—216no—
175C4⋊C4×C59—28no—
176C42×C59—28no—
177C4⋊Dic59—28no—
178C4⋊Dic59—28no—
179C4⋊Dic59—28no—
180C4⋊Dic59—44no—
181C4×Dic59—28no—
182C4×Dic59—44no—
183C4×Dic59—48no—
184C23×C59C23×C411yescharacteristic
185C23×C59C22×D411yescharacteristic
186C23×C59C22×D411yescharacteristic
187C23×C59C22×Q811yescharacteristic
188C23×C59C2×#4111yescharacteristic
189C23×C59C2×#4111yescharacteristic
190C23×C59C2×#4111yescharacteristic
191C23×C59C2×#4111yescharacteristic
192C23×C59C2×#4111yescharacteristic
193C23×C59C2×#4111yescharacteristic
194C23×C59C2×#4111yescharacteristic
195C23×C59H(5,𝔽2)11yescharacteristic
196C23×C592−1+411yescharacteristic
197C23×C592−1+411yescharacteristic
198C23×C592−1+411yescharacteristic
199C2×C4×C59—22no—
200C2×C4×C59—22no—
201C2×C4×C59—22no—
202C2×C4×C59—22no—
203C2×C4×C59—22no—
204C2×C4×C59—22no—
205C2×C4×C59—24no—
206C2×C4×C59—22no—
207C2×C4×C59—24no—
208C2×C4×C59—24no—
209C2×C4×C59—24no—
210C2×C4×C59—24no—
211C2×C4×C59—22no—
212C2×C4×C59—22no—
213C2×C4×C59—24no—
214C2×C4×C59—42no—
215C2×C4×C59—42no—
216C2×C4×C59—42no—
217C2×C4×C59—42no—
218C2×C4×C59—41no—
219C2×C4×C59—41no—
220C2×C4×C59—41no—
221C2×C4×C59—41no—
222C2×C4×C59—42no—
223C2×C4×C59—42no—
224C2×C4×C59—42no—
225C2×C4×C59—42no—
226C2×C4×C59#11714yes—
227C2×C4×C59C4×D414yes—
228C2×C4×C59C4×D414yes—
229C2×C4×C59C4×Q814yes—
230C2×C4×C59C22⋊Q814yes—
231C2×C4×C59#12314yes—
232C2×C4×C59#12514yes—
233C2×C4×C59#12614yes—
234C2×Dic59—22no—
235C2×Dic59—22no—
236C2×Dic59—22no—
237C2×Dic59—22no—
238C2×Dic59—22no—
239C2×Dic59—22no—
240C2×Dic59—22no—
241C2×Dic59—24no—
242C2×Dic59—22no—
243C2×Dic59—22no—
244C2×Dic59—22no—
245C2×Dic59—22no—
246C2×Dic59—22no—
247C2×Dic59—22no—
248C2×Dic59—24no—
249C2×Dic59—22no—
250C2×Dic59—22no—
251C2×Dic59—24no—
252C2×Dic59—42no—
253C2×Dic59—41no—
254C2×Dic59—41no—
255C2×Dic59—41no—
256C2×Dic59—41no—
257C2×Dic59—42no—
258C2×Dic59—42no—
259C2×Dic59—41no—
260C2×Dic59—41no—
261C2×Dic59—41no—
262C2×Dic59—41no—
263C2×Dic59—41no—
264C2×Dic59—41no—
265C2×Dic59—42no—
266C2×Dic59—41no—
267C2×Dic59—41no—
268C2×Dic59—42no—
269C2×Dic59—42no—
270C2×Dic59—42no—
271C2×Dic59—42no—
272C2×Dic59—42no—
273C2×Dic59—42no—
274C2×Dic59—42no—
275C2×Dic59#12114yes—
276#14042—591nomaximal, Sylow
277C22×C59C2×#11711yescharacteristic
278C22×C59C2×C4×D411yescharacteristic
279C22×C59C2×C4×D411yescharacteristic
280C22×C59C2×C4×Q811yescharacteristic
281C22×C59C4×#4111yescharacteristic
282C22×C59#51911yescharacteristic
283C22×C59#52011yescharacteristic
284C22×C59C2×#12111yescharacteristic
285C22×C59C2×C22⋊Q811yescharacteristic
286C22×C59C2×#12311yescharacteristic
287C22×C59#52511yescharacteristic
288C22×C59C2×#12511yescharacteristic
289C22×C59C2×#12611yescharacteristic
290C22×C59#52911yescharacteristic
291C22×C59#53211yescharacteristic
292C22×C59#53611yescharacteristic
293C22×C59#53711yescharacteristic
294C22×C59#54111yescharacteristic
295C22×C59#54211yescharacteristic
296C22×C59#54711yescharacteristic
297C22×C59#54711yescharacteristic
298C22×C59D4×Q811yescharacteristic
299C22×C59#55011yescharacteristic
300C22×C59#55211yescharacteristic
301C22×C59#55211yescharacteristic
302C22×C59#55211yescharacteristic
303C22×C59#55311yescharacteristic
304C22×C59#55411yescharacteristic
305C22×C59#55511yescharacteristic
306C22×C59#55611yescharacteristic
307C22×C59#55611yescharacteristic
308C22×C59#55611yescharacteristic
309C22×C59#55611yescharacteristic
310C22×C59#55711yescharacteristic
311C22×C59#55711yescharacteristic
312C4×C59—24no—
313C4×C59—42no—
314C4×C59—44no—
315C4×C59—44no—
316C4×C59#38718yescomplemented
317Dic59—24no—
318Dic59—42no—
319Dic59—42no—
320Dic59—42no—
321Dic59—44no—
322Dic59—82no—
323C2×#389D5911yescharacteristic
324C2×#387—592no—
325C2×C4×C4⋊C4—591no—
326C2×C4×C4⋊C4—591no—
327#1443—592no—
328#1441—592no—
329C4⋊#95—591no—
330C4⋊#95—591no—
331C4⋊#95—591no—
332C4⋊#95—591no—
333#1434—592no—
334C2×C59C2×#38711yescharacteristic
335C2×C59C4×#12111yescharacteristic
336C2×C59#232311yescharacteristic
337C2×C59#235411yescharacteristic
338C2×C59#235611yescharacteristic
339C2×C59#236511yescharacteristic
340C2×C59#237011yescharacteristic
341C2×C59#248511yescharacteristic
342C2×C59#248611yescharacteristic
343C2×C59#250611yescharacteristic
344C2×C59#250811yescharacteristic
345C2×C59#251211yescharacteristic
346C2×C59#251411yescharacteristic
347C2×C59#253811yescharacteristic
348C2×C59#258111yescharacteristic
349C22×C4⋊C4—591no—
350C22×C4⋊C4—591no—
351C22×C4⋊C4—591no—
352C22×C4⋊C4—591no—
353C22×C4⋊C4C2×D5911yescharacteristic
354C22×C4⋊C4C2×D5911yescharacteristic
355C22×C4⋊C4C2×D5912yes—
356C22×C42—591no—
357C22×C42—592no—
358C22×C42—591no—
359C22×C42C2×D5911yescharacteristic
360#389Dic5918yescomplemented
361#387—1188no—
362C4×C4⋊C4—1184no—
363C4×C4⋊C4—1184no—
364C2×#95—591no—
365C2×#95—592no—
366C2×#95—592no—
367C2×#95—592no—
368C2×#95—592no—
369C2×#95—592no—
370C2×#95—592no—
371C2×#95—591no—
372C2×#95—592no—
373C2×#95—592no—
374C2×#95—592no—
375C2×#95C2×D5912yes—
376C59#1404211yescharacteristic, complemented, Sylow
377C23×C4—591no—
378C23×C4—591no—
379C23×C4—591no—
380C23×C4—592no—
381C23×C4—591no—
382C23×C4—592no—
383C23×C4C22×D5912yes—
384C23×C4C22×D5912yes—
385C23×C4C22×D5911yescharacteristic
386C23×C4C22×D5911yescharacteristic
387C23×C4C22×D5911yescharacteristic
388C2×C4⋊C4—22no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—24no—
392C2×C4⋊C4—24no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—594no—
395C2×C4⋊C4—594no—
396C2×C4⋊C4—1182no—
397C2×C4⋊C4—1182no—
398C2×C4⋊C4—1182no—
399C2×C4⋊C4—1182no—
400C2×C4⋊C4—1182no—
401C2×C4⋊C4—1182no—
402C2×C4⋊C4—1182no—
403C2×C4⋊C4—1182no—
404C2×C4⋊C4—1182no—
405C2×C4⋊C4—1182no—
406C2×C4⋊C4C2×Dic5914yes—
407C2×C4⋊C4C2×Dic5918yes—
408C2×C4⋊C4C2×Dic5914yes—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—594no—
412C2×C42—1182no—
413C2×C42—1182no—
414C2×C42—1184no—
415C2×C42—1184no—
416C2×C42—1184no—
417C2×C42—1182no—
418C2×C42—1182no—
419C2×C42—1182no—
420C2×C42C2×Dic5914yes—
421#95—1184no—
422#95—1182no—
423#95—1182no—
424#95—1184no—
425#95—1184no—
426#95—1184no—
427#95—1184no—
428#95—1184no—
429#95—2362no—
430#95—2362no—
431#95—2362no—
432#95C2×Dic5918yes—
433C24C23×D5911yescharacteristic
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—21no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—592no—
457C22×C4—592no—
458C22×C4—592no—
459C22×C4—592no—
460C22×C4—592no—
461C22×C4—594no—
462C22×C4—592no—
463C22×C4—1181no—
464C22×C4—1181no—
465C22×C4—1181no—
466C22×C4—1181no—
467C22×C4—1182no—
468C22×C4—1181no—
469C22×C4—1182no—
470C22×C4—1181no—
471C22×C4—1182no—
472C22×C4—1181no—
473C22×C4—1181no—
474C22×C4—1181no—
475C22×C4—1181no—
476C22×C4—1181no—
477C22×C4—1181no—
478C22×C4—1181no—
479C22×C4—1182no—
480C22×C4—1181no—
481C22×C4—1181no—
482C22×C4—1181no—
483C22×C4—1181no—
484C22×C4—1181no—
485C22×C4—1182no—
486C22×C4—1181no—
487C22×C4—1181no—
488C22×C4—1181no—
489C22×C4—1182no—
490C22×C4—1181no—
491C22×C4—1182no—
492C22×C4—1182no—
493C22×C4—1182no—
494C22×C4—1182no—
495C22×C4—1182no—
496C22×C4—1182no—
497C22×C4—1182no—
498C22×C4#1174568512yes—
499C22×C4#1174568512yes—
500C22×C4D4×D5912yes—
501C22×C4D4×D5912yes—
502C22×C4#1174568712yes—
503C22×C4#1174568712yes—
504C22×C4Q8×D5912yes—
505C22×C4#1174568912yes—
506C22×C4C22×Dic5912yes—
507C22×C4C22×Dic5914yes—
508C22×C4C22×Dic5914yes—
509C22×C4C22×Dic5912yes—
510C22×C4C22×Dic5912yes—
511C4⋊C4—28no—
512C4⋊C4—216no—
513C4⋊C4—28no—
514C4⋊C4—1188no—
515C4⋊C4—1188no—
516C4⋊C4—1188no—
517C4⋊C4—2364no—
518C42—28no—
519C42—1188no—
520C42—2368no—
521C42—2364no—
522C23C23×Dic5911yescharacteristic
523C23C2×D4×D5911yescharacteristic
524C23C2×D4×D5911yescharacteristic
525C23C2×Q8×D5911yescharacteristic
526C23#41×D5911yescharacteristic
527C23#41×D5911yescharacteristic
528C23C2×#1174568711yescharacteristic
529C23C2×#1174568711yescharacteristic
530C23C2×#1174568511yescharacteristic
531C23C2×#1174568511yescharacteristic
532C23C2×#1174568911yescharacteristic
533C23#1427377311yescharacteristic
534C23#1427377411yescharacteristic
535C23#1427377511yescharacteristic
536C23#1427377511yescharacteristic
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—24no—
544C2×C4—22no—
545C2×C4—24no—
546C2×C4—24no—
547C2×C4—24no—
548C2×C4—24no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—24no—
552C2×C4—42no—
553C2×C4—42no—
554C2×C4—42no—
555C2×C4—42no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—42no—
561C2×C4—42no—
562C2×C4—42no—
563C2×C4—42no—
564C2×C4—594no—
565C2×C4—1182no—
566C2×C4—1182no—
567C2×C4—1182no—
568C2×C4—1182no—
569C2×C4—1182no—
570C2×C4—1182no—
571C2×C4—1182no—
572C2×C4—1184no—
573C2×C4—1182no—
574C2×C4—1182no—
575C2×C4—1182no—
576C2×C4—1182no—
577C2×C4—1182no—
578C2×C4—1182no—
579C2×C4—1184no—
580C2×C4—1182no—
581C2×C4—1182no—
582C2×C4—1184no—
583C2×C4—2362no—
584C2×C4—2362no—
585C2×C4—2362no—
586C2×C4—2362no—
587C2×C4—2362no—
588C2×C4—2362no—
589C2×C4—2362no—
590C2×C4—2362no—
591C2×C4—2361no—
592C2×C4—2361no—
593C2×C4—2361no—
594C2×C4—2362no—
595C2×C4—2361no—
596C2×C4—2362no—
597C2×C4—2361no—
598C2×C4—2361no—
599C2×C4—2361no—
600C2×C4—2361no—
601C2×C4—2361no—
602C2×C4—2361no—
603C2×C4—2362no—
604C2×C4—2361no—
605C2×C4—2361no—
606C2×C4#1427368614yes—
607C2×C4D4×Dic5914yes—
608C2×C4D4×Dic5914yes—
609C2×C4Q8×Dic5914yes—
610C2×C4#1427370514yes—
611C2×C4#1427371214yes—
612C2×C4#1427371714yes—
613C2×C4#1427372214yes—
614C22C2×#1427368611yescharacteristic
615C22C2×D4×Dic5911yescharacteristic
616C22C2×D4×Dic5911yescharacteristic
617C22C2×Q8×Dic5911yescharacteristic
618C22#41×Dic5911yescharacteristic
619C22#1683788011yescharacteristic
620C22#1683788511yescharacteristic
621C22#121×D5911yescharacteristic
622C22C2×#1427370511yescharacteristic
623C22C2×#1427371211yescharacteristic
624C22#1683791211yescharacteristic
625C22C2×#1427371711yescharacteristic
626C22C2×#1427372211yescharacteristic
627C22#1683793311yescharacteristic
628C22#1683794711yescharacteristic
629C22#1683797511yescharacteristic
630C22#1683798211yescharacteristic
631C22#1683801211yescharacteristic
632C22#1683802511yescharacteristic
633C22#1683805511yescharacteristic
634C22#1683805711yescharacteristic
635C22#1683806711yescharacteristic
636C22#1683807311yescharacteristic
637C22#1683809011yescharacteristic
638C22#1683809311yescharacteristic
639C22#1683809311yescharacteristic
640C22#1683810511yescharacteristic
641C22#1683810811yescharacteristic
642C22#1683811711yescharacteristic
643C22#1683812211yescharacteristic
644C22#1683812411yescharacteristic
645C22#1683812411yescharacteristic
646C22#1683812611yescharacteristic
647C22#1683812711yescharacteristic
648C22#1683812911yescharacteristic
649C4—24no—
650C4—42no—
651C4—44no—
652C4—44no—
653C4—1184no—
654C4—4722no—
655C4—2364no—
656C4—2362no—
657C4—2362no—
658C4—2362no—
659C4#1683728818yescomplemented
660C2C2×#1683728811yescharacteristic
661C2#121×Dic5911yescharacteristic
662C2#2142678011yescharacteristic
663C2#2142704511yescharacteristic
664C2#2142706111yescharacteristic
665C2#2142715611yescharacteristic
666C2#2142719611yescharacteristic
667C2#2142839111yescharacteristic
668C2#2142840211yescharacteristic
669C2#2142861011yescharacteristic
670C2#2142863211yescharacteristic
671C2#2142868511yescharacteristic
672C2#2142870711yescharacteristic
673C2#2142901711yescharacteristic
674C2#2142946411yescharacteristic
subgroupG/H
center, FrattiniC24C23×D59
commutatorC23×C59C23×C4
FittingC2×C59×#389C2
socle, prime radical, cosocleC24×C59C24
hypercenterC2×#389D59
hypocenterC59#14042
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C24 ◁ C2×#389

Complements

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

NH ≅ G/Ntype
37. C59×#389C4semidirect
316. C4×C59#387semidirect
360. #389Dic59semidirect
376. C59#14042semidirect
659. C4#16837288semidirect

Maximal subgroups

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

subgroupindex
C2×#168372882
C2×C4⋊C4×Dic592
C2×C4×C4⋊Dic592
#214223582
#214223492
#214223262
#214223252
#214223212
C2×C59×#3892
#1404259