Finite Group Databasebeta

← C2×#484×D59 #29456444

Subgroups — C2×#484×D59 #29456444

Order 15104.

2662 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D59C211yesmaximal, characteristic
2C22×C4⋊C4×D59C211yesmaximal, characteristic
3C2×#16837739C212yesmaximal, complemented
4C2×#16837738C211yesmaximal, characteristic, complemented
5C2×#16837737C211yesmaximal, characteristic, complemented
6C2×#16837736C212yesmaximal, complemented
7C2×#16837735C211yesmaximal, characteristic, complemented
8#484×D59C2116yesmaximal, direct product factor
9C2×#107×D59C212yesmaximal, complemented
10C2×#103×D59C212yesmaximal, complemented
11C2×C22⋊C8×D59C211yesmaximal, characteristic
12C2×C59×#484C211yesmaximal, characteristic, complemented
13C22×Q8×D59C2211yescharacteristic
14C23×C4×D59—21no—
15C23×C4×D59C2211yescharacteristic
16C22×C8×D59C2212yes—
17C2×#14273707C2211yescharacteristic
18C2×#14273706C2211yescharacteristic
19C2×#14273705—21no—
20C2×#14273704—21no—
21C2×#14273703C2211yescharacteristic
22C22⋊Q8×D59—24no—
23C22⋊Q8×D59C2218yes—
24C22×C4⋊Dic59C2211yescharacteristic
25C22×Dic59⋊C4—21no—
26C2×C4⋊C4×D59—24no—
27C2×C4⋊C4×D59—21no—
28C2×C4⋊C4×D59—21no—
29C2×C4⋊C4×D59—21no—
30C2×C4⋊C4×D59C2212yes—
31C2×C4⋊C4×D59C2218yes—
32C2×C4⋊C4×D59C2212yes—
33C2×C4⋊C4×D59C2211yescharacteristic
34C2×C22⋊C4×D59—21no—
35#16837739C22116yescomplemented
36#16837738C2218yescomplemented
37#16837737C2218yescomplemented
38#16837736C22116yescomplemented
39#16837735C2218yescomplemented
40C2×#14273661C2212yescomplemented
41C2×#14273660C2212yescomplemented
42C2×#14273660C2212yescomplemented
43#107×D59C22116yescomplemented
44C2×#14273652C2212yescomplemented
45C2×#14273651C2212yescomplemented
46C2×#14273650C2212yescomplemented
47#103×D59C22116yescomplemented
48C2×C22⋊(C59⋊C8)C2211yescharacteristic
49C2×(C2×D59)⋊C8C2212yes—
50C22⋊C8×D59C2218yes—
51C2×C22⋊Q8×C59C2211yescharacteristic
52C22×C4⋊C4×C59C2211yescharacteristic
53C59×#484C2218yescomplemented
54C2×#107×C59C2212yescomplemented
55C2×#103×C59C2212yescomplemented
56C2×C22⋊C8×C59C2211yescharacteristic
57C24×D59D411yescharacteristic
58C22×Dic118—21no—
59C22×Dic118C2311yescharacteristic
60C2×Q8×D59—22no—
61C2×Q8×D59—28no—
62C2×Q8×D59C2314yes—
63C23×Dic59—21no—
64C23×Dic59D411yescharacteristic
65C22×C4×D59—28no—
66C22×C4×D59—28no—
67C22×C4×D59—22no—
68C22×C4×D59—22no—
69C22×C4×D59—21no—
70C22×C4×D59—21no—
71C22×C4×D59—48no—
72C22×C4×D59D414yes—
73C22×C4×D59D411yescharacteristic
74C22×C4×D59D411yescharacteristic
75C22×C4×D59C2314yes—
76C22×C4×D59C2311yescharacteristic
77C22×C4×D59C2311yescharacteristic
78C22×C59⋊C8C2312yes—
79C2×C8×D59—28no—
80C2×C8×D59C2318yes—
81#14273707—22no—
82#14273707C2314yes—
83#14273706—22no—
84#14273706C2314yes—
85#14273705—28no—
86#14273704—28no—
87#14273703—22no—
88#14273703C2314yes—
89C2×C4⋊Dic59—21no—
90C2×C4⋊Dic59—22no—
91C2×C4⋊Dic59—21no—
92C2×C4⋊Dic59C2311yescharacteristic
93C2×C4⋊Dic59C2312yes—
94C2×C4⋊Dic59C2314yes—
95C2×Dic59⋊C4—21no—
96C2×Dic59⋊C4—21no—
97C2×Dic59⋊C4—21no—
98C2×Dic59⋊C4—22no—
99C2×Dic59⋊C4—28no—
100C2×Dic59⋊C4—22no—
101C4⋊C4×D59—22no—
102C4⋊C4×D59—28no—
103C4⋊C4×D59—28no—
104C4⋊C4×D59—24no—
105C4⋊C4×D59—28no—
106C4⋊C4×D59—24no—
107C4⋊C4×D59C2314yes—
108C4⋊C4×D59C2318yes—
109C4⋊C4×D59C2318yes—
110C2×C22⋊Dic59—21no—
111C2×(C2×D59)⋊C4—21no—
112C2×(C2×D59)⋊C4—21no—
113C22⋊C4×D59—28no—
114#14273661C2318yescomplemented
115#14273660C2318yescomplemented
116#14273660C2318yescomplemented
117#14273652C2318yescomplemented
118#14273651C2318yescomplemented
119#14273650C2318yescomplemented
120C22⋊(C59⋊C8)C2314yes—
121(C2×D59)⋊C8C2318yes—
122C22×Q8×C59C2311yescharacteristic
123C23×C4×C59—21no—
124C23×C4×C59C2311yescharacteristic
125C22×C8×C59C2312yes—
126C22⋊Q8×C59—22no—
127C22⋊Q8×C59C2314yes—
128C2×C4⋊C4×C59—21no—
129C2×C4⋊C4×C59—21no—
130C2×C4⋊C4×C59—22no—
131C2×C4⋊C4×C59C2311yescharacteristic
132C2×C4⋊C4×C59C2312yes—
133C2×C4⋊C4×C59C2314yes—
134C2×C22⋊C4×C59—21no—
135#107×C59C2318yescomplemented
136#103×C59C2318yescomplemented
137C22⋊C8×C59C2314yes—
138C24×C59C2×D411yescharacteristic
139C23×D59—24no—
140C23×D59—24no—
141C23×D59Q1618yes—
142C23×D59C2×D414yes—
143C23×D59C2×D411yescharacteristic
144C23×D59C2×D411yescharacteristic
145C2×Q8×C59—21no—
146C2×Q8×C59—24no—
147C2×Q8×C59C2412yes—
148C22×C4×C59—24no—
149C22×C4×C59—21no—
150C22×C4×C59—21no—
151C22×C4×C59—24no—
152C22×C4×C59—22no—
153C22×C4×C59—44no—
154C22×C4×C59C2×D411yescharacteristic
155C22×C4×C59C2×D412yes—
156C22×C4×C59C2412yes—
157C22×C4×C59C2411yescharacteristic
158C22×Dic59—24no—
159C22×Dic59—21no—
160C22×Dic59—21no—
161C22×Dic59—24no—
162C22×Dic59—22no—
163C22×Dic59—44no—
164C22×Dic59C2×D411yescharacteristic
165C22×Dic59C2×D414yes—
166C22×Dic59C2×D411yescharacteristic
167Q8×D59—216no—
168Q8×D59—48no—
169C2×C4×D59—24no—
170C2×C4×D59—24no—
171C2×C4×D59—24no—
172C2×C4×D59—216no—
173C2×C4×D59—216no—
174C2×C4×D59—24no—
175C2×C4×D59—24no—
176C2×C4×D59—28no—
177C2×C4×D59—28no—
178C2×C4×D59—48no—
179C2×C4×D59—432no—
180C2×C4×D59—44no—
181C2×C4×D59—44no—
182C2×C4×D59—48no—
183C2×C4×D59C2×D414yes—
184C2×C4×D59C2×D412yes—
185C2×C4×D59C2×D414yes—
186C2×C4×D59C2×D412yes—
187C2×C4×D59#4118yes—
188C2×C4×D59C2412yes—
189C2×C4×D59C2412yes—
190C2×Dic118—24no—
191C2×Dic118—21no—
192C2×Dic118—24no—
193C2×Dic118—44no—
194C2×Dic118C2412yes—
195C2×C8×C59—24no—
196C2×C8×C59C2414yes—
197C4⋊C4×C59—24no—
198C4⋊C4×C59—22no—
199C4⋊C4×C59—24no—
200C4⋊C4×C59—21no—
201C4⋊C4×C59C2414yes—
202C4⋊C4×C59C2412yes—
203C22⋊C4×C59—24no—
204C22⋊Dic59—24no—
205(C2×D59)⋊C4—24no—
206(C2×D59)⋊C4—24no—
207C4⋊Dic59—24no—
208C4⋊Dic59—22no—
209C4⋊Dic59—21no—
210C4⋊Dic59—24no—
211C4⋊Dic59C2414yes—
212C4⋊Dic59C2412yes—
213Dic59⋊C4—24no—
214Dic59⋊C4—28no—
215Dic59⋊C4—28no—
216Dic59⋊C4—24no—
217Dic59⋊C4—24no—
218C2×C59⋊C8—24no—
219C2×C59⋊C8C2414yes—
220C8×D59—216no—
221C23×C59—22no—
222C23×C59—22no—
223C23×C59C2×Q1614yes—
224C23×C59C22×D412yes—
225C23×C59C22×D411yescharacteristic
226C22×D59—22no—
227C22×D59—22no—
228C22×D59—28no—
229C22×D59—28no—
230C22×D59—232no—
231C22×D59#12314yes—
232C22×D59C2×Q1614yes—
233C22×D59C2×Q16116yes—
234C22×D59C2×Q1614yes—
235C22×D59AGL(1,ℤ/8)14yes—
236C22×D59C22×D412yes—
237C22×D59C22×D412yes—
238Q8×C59—24no—
239Q8×C59—42no—
240C2×C4×C59—22no—
241C2×C4×C59—24no—
242C2×C4×C59—24no—
243C2×C4×C59—24no—
244C2×C4×C59—22no—
245C2×C4×C59—22no—
246C2×C4×C59—48no—
247C2×C4×C59—42no—
248C2×C4×C59—44no—
249C2×C4×C59—42no—
250C2×C4×C59C22×D412yes—
251C2×C4×C59C22×D411yescharacteristic
252C2×C4×C59C2×#4114yes—
253C2×C4×C59C2511yescharacteristic
254C2×Dic59—22no—
255C2×Dic59—28no—
256C2×Dic59—22no—
257C2×Dic59—24no—
258C2×Dic59—22no—
259C2×Dic59—48no—
260C2×Dic59—42no—
261C2×Dic59—44no—
262C2×Dic59—42no—
263C2×Dic59#12314yes—
264C2×Dic59C22×D412yes—
265C2×Dic59C22×D412yes—
266C4×D59—28no—
267C4×D59—24no—
268C4×D59—24no—
269C4×D59—28no—
270C4×D59—416no—
271C4×D59—48no—
272C4×D59—48no—
273C4×D59—416no—
274C4×D59#12318yes—
275C4×D59C2×#4118yes—
276Dic118—24no—
277Dic118—42no—
278Dic118—48no—
279C8×C59—24no—
280C59⋊C8—24no—
281C22×#484—591nomaximal, Sylow
282C22×C59—28no—
283C22×C59—22no—
284C22×C59—22no—
285C22×C59C2×#12312yes—
286C22×C59C22×Q1614yes—
287C22×C59C22×Q1612yes—
288C22×C59C2×AGL(1,ℤ/8)12yes—
289C22×C59C23×D411yescharacteristic
290C2×D59—28no—
291C2×D59—22no—
292C2×D59—22no—
293C2×D59—232no—
294C2×D59#484116yesdirect product factor
295C2×D59C2×#12314yes—
296C2×D59C22×Q1614yes—
297C2×D59C22×Q1614yes—
298C2×D59C2×AGL(1,ℤ/8)14yes—
299C4×C59—22no—
300C4×C59—42no—
301C4×C59—44no—
302C4×C59—42no—
303C4×C59C2×#12312yes—
304C4×C59C22×#4112yes—
305Dic59—22no—
306Dic59—42no—
307Dic59—44no—
308Dic59—42no—
309Dic59C2×#12314yes—
310C22×C22⋊Q8—591no—
311C23×C4⋊C4—591no—
312C2×#484—5916no—
313C2×#484—592no—
314C2×#484—592no—
315C2×#484—591no—
316C2×#484—591no—
317C2×#484—591no—
318C2×#484D5911yescharacteristic, direct product factor
319C22×#107—592no—
320C22×#103—592no—
321C22×C22⋊C8—591no—
322C2×C59—24no—
323C2×C59C2×#48414yescomplemented
324C2×C59C22×#12311yescharacteristic
325C2×C59C23×Q1611yescharacteristic
326C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
327D59—24no—
328D59C2×#48418yesdirect product factor
329C23×Q8—591no—
330C24×C4—591no—
331C24×C4—1181no—
332C23×C8—592no—
333C2×C22⋊Q8—591no—
334C2×C22⋊Q8—591no—
335C2×C22⋊Q8—598no—
336C2×C22⋊Q8—591no—
337C2×C22⋊Q8—1181no—
338C2×C22⋊Q8—1181no—
339C2×C22⋊Q8—1184no—
340C2×C22⋊Q8C2×D5911yescharacteristic
341C22×C4⋊C4—591no—
342C22×C4⋊C4—592no—
343C22×C4⋊C4—598no—
344C22×C4⋊C4—592no—
345C22×C4⋊C4—591no—
346C22×C4⋊C4—1181no—
347C22×C4⋊C4—1184no—
348C22×C4⋊C4—1181no—
349C22×C4⋊C4—1181no—
350C22×C4⋊C4—1181no—
351C22×C4⋊C4C2×D5911yescharacteristic
352C22×C22⋊C4—1181no—
353#484—598no—
354#484—598no—
355#484—5916no—
356#484—5916no—
357#484—598no—
358#484C2×D5918yesdirect product factor
359C2×#107—592no—
360C2×#107—592no—
361C2×#107—592no—
362C2×#107—5916no—
363C2×#107C2×D5912yescomplemented
364C2×#103—592no—
365C2×#103—592no—
366C2×#103—592no—
367C2×#103—5916no—
368C2×#103C2×D5912yescomplemented
369C2×C22⋊C8—591no—
370C2×C22⋊C8—592no—
371C2×C22⋊C8—598no—
372C2×C22⋊C8C2×D5911yescharacteristic
373C59C22×#48411yescharacteristic, complemented, Sylow
374C25—591no—
375C22×Q8—594no—
376C22×Q8—591no—
377C22×Q8—1181no—
378C22×Q8—1182no—
379C22×Q8—1188no—
380C22×Q8C22×D5911yescharacteristic
381C23×C4—21no—
382C23×C4—591no—
383C23×C4—591no—
384C23×C4—591no—
385C23×C4—591no—
386C23×C4—594no—
387C23×C4—594no—
388C23×C4—591no—
389C23×C4—1188no—
390C23×C4—1181no—
391C23×C4—1181no—
392C23×C4—1188no—
393C23×C4—1182no—
394C23×C4—1182no—
395C23×C4—1181no—
396C23×C4—2368no—
397C23×C4C22×D5911yescharacteristic
398C22×C8—592no—
399C22×C8—598no—
400C22×C8—1188no—
401C22×C8C22×D5912yes—
402C22⋊Q8—22no—
403C22⋊Q8—594no—
404C22⋊Q8—594no—
405C22⋊Q8—594no—
406C22⋊Q8—1188no—
407C22⋊Q8—1188no—
408C22⋊Q8—1182no—
409C22⋊Q8—1182no—
410C22⋊Q8—1182no—
411C22⋊Q8C22×D5914yes—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—592no—
416C2×C4⋊C4—594no—
417C2×C4⋊C4—591no—
418C2×C4⋊C4—598no—
419C2×C4⋊C4—598no—
420C2×C4⋊C4—594no—
421C2×C4⋊C4—1184no—
422C2×C4⋊C4—1188no—
423C2×C4⋊C4—1188no—
424C2×C4⋊C4—1184no—
425C2×C4⋊C4—1182no—
426C2×C4⋊C4—1188no—
427C2×C4⋊C4—1188no—
428C2×C4⋊C4—1182no—
429C2×C4⋊C4—1182no—
430C2×C4⋊C4—1181no—
431C2×C4⋊C4—1181no—
432C2×C4⋊C4—1181no—
433C2×C4⋊C4—1182no—
434C2×C4⋊C4—1181no—
435C2×C4⋊C4—1181no—
436C2×C4⋊C4C22×D5912yes—
437C2×C4⋊C4C22×D5914yes—
438C2×C4⋊C4C22×D5911yescharacteristic
439C2×C22⋊C4—21no—
440C2×C22⋊C4—1188no—
441C2×C22⋊C4—1181no—
442C2×C22⋊C4—1181no—
443C2×C22⋊C4—1181no—
444#107—598no—
445#107—598no—
446#107—598no—
447#107C22×D5918yescomplemented
448#103—598no—
449#103—598no—
450#103—598no—
451#103C22×D5918yescomplemented
452C22⋊C8—594no—
453C22⋊C8—598no—
454C22⋊C8C22×D5914yes—
455C24—591no—
456C24—598no—
457C24—594no—
458C24—591no—
459C24—1184no—
460C24—1184no—
461C24D4×D5911yescharacteristic
462C2×Q8—21no—
463C2×Q8—24no—
464C2×Q8—592no—
465C2×Q8—1184no—
466C2×Q8—11816no—
467C2×Q8—1181no—
468C2×Q8—1184no—
469C2×Q8—2364no—
470C2×Q8—2368no—
471C2×Q8C23×D5912yes—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—44no—
478C22×C4—591no—
479C22×C4—592no—
480C22×C4—598no—
481C22×C4—592no—
482C22×C4—594no—
483C22×C4—591no—
484C22×C4—594no—
485C22×C4—594no—
486C22×C4—592no—
487C22×C4—592no—
488C22×C4—1184no—
489C22×C4—11816no—
490C22×C4—11816no—
491C22×C4—1184no—
492C22×C4—1184no—
493C22×C4—1184no—
494C22×C4—1188no—
495C22×C4—1188no—
496C22×C4—1184no—
497C22×C4—1184no—
498C22×C4—1184no—
499C22×C4—1181no—
500C22×C4—1181no—
501C22×C4—1182no—
502C22×C4—2368no—
503C22×C4—2364no—
504C22×C4—2364no—
505C22×C4—23632no—
506C22×C4—2368no—
507C22×C4—2364no—
508C22×C4D4×D5912yes—
509C22×C4D4×D5911yescharacteristic
510C22×C4C23×D5912yes—
511C22×C4C23×D5911yescharacteristic
512C2×C8—24no—
513C2×C8—594no—
514C2×C8—11816no—
515C2×C8—1184no—
516C2×C8C23×D5914yes—
517C4⋊C4—24no—
518C4⋊C4—22no—
519C4⋊C4—24no—
520C4⋊C4—21no—
521C4⋊C4—594no—
522C4⋊C4—592no—
523C4⋊C4—1188no—
524C4⋊C4—1188no—
525C4⋊C4—1184no—
526C4⋊C4—1184no—
527C4⋊C4—1184no—
528C4⋊C4—1184no—
529C4⋊C4—1182no—
530C4⋊C4—1181no—
531C4⋊C4—1184no—
532C4⋊C4C23×D5914yes—
533C4⋊C4C23×D5912yes—
534C22⋊C4—24no—
535C22⋊C4—1184no—
536C22⋊C4—1184no—
537C22⋊C4—1184no—
538C23—22no—
539C23—22no—
540C23—594no—
541C23—594no—
542C23—594no—
543C23—592no—
544C23—5916no—
545C23—594no—
546C23—592no—
547C23—1188no—
548C23—1188no—
549C23—11832no—
550C23—1182no—
551C23—1182no—
552C23Q16×D5914yes—
553C23C2×D4×D5912yes—
554C23C2×D4×D5911yescharacteristic
555Q8—24no—
556Q8—42no—
557Q8—1184no—
558Q8—2368no—
559Q8—2362no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—24no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—24no—
566C2×C4—48no—
567C2×C4—42no—
568C2×C4—44no—
569C2×C4—42no—
570C2×C4—594no—
571C2×C4—592no—
572C2×C4—598no—
573C2×C4—598no—
574C2×C4—592no—
575C2×C4—1188no—
576C2×C4—1188no—
577C2×C4—1188no—
578C2×C4—1182no—
579C2×C4—1184no—
580C2×C4—1184no—
581C2×C4—1182no—
582C2×C4—1182no—
583C2×C4—1184no—
584C2×C4—2368no—
585C2×C4—23616no—
586C2×C4—2368no—
587C2×C4—23616no—
588C2×C4—2368no—
589C2×C4—2362no—
590C2×C4—2362no—
591C2×C4—2364no—
592C2×C4C2×D4×D5912yes—
593C2×C4C2×D4×D5911yescharacteristic
594C2×C4#41×D5914yes—
595C2×C4C24×D5911yescharacteristic
596C8—24no—
597C8—1184no—
598C22—22no—
599C22—28no—
600C22—22no—
601C22—594no—
602C22—594no—
603C22—5916no—
604C22—594no—
605C22—594no—
606C22—11832no—
607C22—1182no—
608C22—1188no—
609C22—1182no—
610C22#123×D5912yes—
611C22C2×Q16×D5914yes—
612C22C2×Q16×D5912yes—
613C22AGL(1,ℤ/8)×D5912yes—
614C22C22×D4×D5911yescharacteristic
615C4—22no—
616C4—44no—
617C4—42no—
618C4—42no—
619C4—594no—
620C4—1182no—
621C4—2364no—
622C4—2362no—
623C4—2362no—
624C4#123×D5912yes—
625C4C2×#41×D5912yes—
626C2—24no—
627C2—598no—
628C2—1184no—
629C2#484×D5914yesdirect product factor
630C2C2×#123×D5911yescharacteristic
631C2C22×Q16×D5911yescharacteristic
632C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#484C2
socleC23×C59C22×D4
prime radicalC24×D59D4
hypercenterC2×#484D59
hypocenterC59C22×#484
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#484

Complements

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

NH ≅ G/Ntype
3. C2×#16837739C2semidirect
4. C2×#16837738C2semidirect
5. C2×#16837737C2semidirect
6. C2×#16837736C2semidirect
7. C2×#16837735C2semidirect
8. #484×D59C2direct (N × H)
9. C2×#107×D59C2semidirect
10. C2×#103×D59C2semidirect
12. C2×C59×#484C2semidirect
35. #16837739C22semidirect
36. #16837738C22semidirect
37. #16837737C22semidirect
38. #16837736C22semidirect
39. #16837735C22semidirect
40. C2×#14273661C22semidirect
41. C2×#14273660C22semidirect
42. C2×#14273660C22semidirect
43. #107×D59C22semidirect
44. C2×#14273652C22semidirect
45. C2×#14273651C22semidirect
46. C2×#14273650C22semidirect
47. #103×D59C22semidirect
53. C59×#484C22semidirect
54. C2×#107×C59C22semidirect
55. C2×#103×C59C22semidirect
114. #14273661C23semidirect
115. #14273660C23semidirect
116. #14273660C23semidirect
117. #14273652C23semidirect
118. #14273651C23semidirect
119. #14273650C23semidirect
135. #107×C59C23semidirect
136. #103×C59C23semidirect
294. C2×D59#484direct (N × H)
318. C2×#484D59direct (N × H)
323. C2×C59C2×#484semidirect
328. D59C2×#484direct (N × H)
358. #484C2×D59direct (N × H)
363. C2×#107C2×D59semidirect
368. C2×#103C2×D59semidirect
373. C59C22×#484semidirect
447. #107C22×D59semidirect
451. #103C22×D59semidirect
629. C2#484×D59direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D592
C22×C4⋊C4×D592
C2×#168377392
C2×#168377382
C2×#168377372
C2×#168377362
C2×#168377352
#484×D592
C2×#107×D592
C2×#103×D592
C2×C22⋊C8×D592
C2×C59×#4842
C22×#48459