Finite Group Databasebeta

← C2×#21434869 #29459232

Subgroups — C2×#21434869 #29459232

Order 15104.

2354 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14273703C211yesmaximal, characteristic
2C2×C22⋊Q8×D59C211yesmaximal, characteristic
3#21434869C2116yesmaximal, direct product factor
4C2×#16837738C211yesmaximal, characteristic, complemented
5C2×#16837736C212yesmaximal, complemented
6C2×#16837735C211yesmaximal, characteristic, complemented
7C2×#16837642C212yesmaximal, complemented
8C2×#16837640C212yesmaximal, complemented
9C2×#16837558C211yesmaximal, characteristic, complemented
10C2×#16837556C212yesmaximal, complemented
11C2×C22⋊C8×D59C211yesmaximal, characteristic
12C2×C59×#451C211yesmaximal, characteristic, complemented
13C22×Q8×D59C2211yescharacteristic
14C23×C4×D59C2211yescharacteristic
15C22×#11745672C2212yescomplemented
16C22×C8×D59C2212yes—
17C2×#14273707C2211yescharacteristic
18C2×#14273706C2211yescharacteristic
19C2×#14273705—21no—
20C2×#14273704—21no—
21C2×#14273703—24no—
22C2×#14273703—21no—
23C2×#14273703—21no—
24C2×#14273703C2211yescharacteristic
25C2×#14273703C2212yes—
26C2×#14273703C2212yes—
27C2×#14273703C2218yes—
28C22⋊Q8×D59—24no—
29C22⋊Q8×D59C2218yes—
30C22×C4⋊Dic59C2211yescharacteristic
31C22×Dic59⋊C4—21no—
32C2×C4⋊C4×D59—21no—
33C2×C4⋊C4×D59C2211yescharacteristic
34C22×(C2×D59)⋊C4—21no—
35C2×C22⋊C4×D59—21no—
36#16837738C2218yescomplemented
37#16837736C22116yescomplemented
38#16837735C2218yescomplemented
39#16837642C22116yescomplemented
40#16837640C22116yescomplemented
41#16837558C2218yescomplemented
42#16837556C22116yescomplemented
43C2×#14273661C2212yescomplemented
44C2×#14273660C2212yescomplemented
45C2×#14273652C2212yescomplemented
46C2×#14273651C2212yescomplemented
47C2×#14273651C2212yescomplemented
48C2×C22⋊(C59⋊C8)C2211yescharacteristic
49C2×(C2×D59)⋊C8C2212yes—
50C22⋊C8×D59C2218yes—
51C23×Q8×C59C2211yescharacteristic
52C22×Q16×C59C2212yescomplemented
53C2×C22⋊Q8×C59C2211yescharacteristic
54C59×#451C2218yescomplemented
55C2×#103×C59C2212yescomplemented
56C2×C22⋊C8×C59C2211yescharacteristic
57C24×D59D411yescharacteristic
58C22×Dic118—21no—
59C22×Dic118C2311yescharacteristic
60C2×Q8×D59—22no—
61C2×Q8×D59—44no—
62C2×Q8×D59C2314yes—
63C23×Dic59—21no—
64C23×Dic59D411yescharacteristic
65C22×C4×D59—21no—
66C22×C4×D59—21no—
67C22×C4×D59—44no—
68C22×C4×D59D414yes—
69C22×C4×D59D411yescharacteristic
70C22×C4×D59D411yescharacteristic
71C22×C4×D59C2311yescharacteristic
72C22×C4×D59C2311yescharacteristic
73C22×C4×D59C2314yes—
74C2×#11745672—44no—
75C2×#11745672C2318yescomplemented
76C22×C59⋊C8C2312yes—
77C2×C8×D59—44no—
78C2×C8×D59C2318yes—
79#14273707—22no—
80#14273707C2314yes—
81#14273706—22no—
82#14273706C2314yes—
83#14273705—28no—
84#14273704—28no—
85#14273703—22no—
86#14273703—24no—
87#14273703—24no—
88#14273703—28no—
89#14273703—28no—
90#14273703C2314yes—
91#14273703C2318yes—
92#14273703C2318yes—
93C2×C4⋊Dic59—21no—
94C2×C4⋊Dic59—22no—
95C2×C4⋊Dic59—21no—
96C2×C4⋊Dic59C2312yes—
97C2×C4⋊Dic59C2314yes—
98C2×C4⋊Dic59C2311yescharacteristic
99C2×Dic59⋊C4—21no—
100C2×Dic59⋊C4—22no—
101C2×Dic59⋊C4—22no—
102C2×Dic59⋊C4—28no—
103C2×Dic59⋊C4—21no—
104C2×Dic59⋊C4—21no—
105C4⋊C4×D59—22no—
106C4⋊C4×D59—28no—
107C4⋊C4×D59C2314yes—
108C2×C22⋊Dic59—21no—
109C2×(C2×D59)⋊C4—22no—
110C2×(C2×D59)⋊C4—22no—
111C2×(C2×D59)⋊C4—28no—
112C2×(C2×D59)⋊C4—21no—
113C2×(C2×D59)⋊C4—21no—
114C22⋊C4×D59—28no—
115#14273661C2318yescomplemented
116#14273660C2318yescomplemented
117#14273652C2318yescomplemented
118#14273651C2318yescomplemented
119#14273651C2318yescomplemented
120C22⋊(C59⋊C8)C2314yes—
121(C2×D59)⋊C8C2318yes—
122C22×Q8×C59—21no—
123C22×Q8×C59—22no—
124C22×Q8×C59—44no—
125C22×Q8×C59C2312yes—
126C22×Q8×C59C2311yescharacteristic
127C22×Q8×C59C2314yes—
128C23×C4×C59—21no—
129C23×C4×C59C2311yescharacteristic
130C2×Q16×C59—44no—
131C2×Q16×C59C2318yescomplemented
132C22×C8×C59C2312yes—
133C22⋊Q8×C59—22no—
134C22⋊Q8×C59C2314yes—
135C2×C4⋊C4×C59—21no—
136C2×C4⋊C4×C59C2311yescharacteristic
137C2×C22⋊C4×C59—21no—
138#103×C59C2318yescomplemented
139C22⋊C8×C59C2314yes—
140C24×C59C2×D411yescharacteristic
141C23×D59—42no—
142C23×D59—42no—
143C23×D59Q1618yescomplemented
144C23×D59C2×D411yescharacteristic
145C23×D59C2×D411yescharacteristic
146C23×D59C2×D414yes—
147C2×Q8×C59—21no—
148C2×Q8×C59—24no—
149C2×Q8×C59—22no—
150C2×Q8×C59—24no—
151C2×Q8×C59—24no—
152C2×Q8×C59—24no—
153C2×Q8×C59—48no—
154C2×Q8×C59—44no—
155C2×Q8×C59—48no—
156C2×Q8×C59C2414yes—
157C2×Q8×C59C2412yes—
158C22×C4×C59—24no—
159C22×C4×C59—21no—
160C22×C4×C59—21no—
161C22×C4×C59—24no—
162C22×C4×C59—22no—
163C22×C4×C59—44no—
164C22×C4×C59C2×D411yescharacteristic
165C22×C4×C59C2×D412yes—
166C22×C4×C59C2412yes—
167C22×C4×C59C2411yescharacteristic
168C22×Dic59—24no—
169C22×Dic59—22no—
170C22×Dic59—21no—
171C22×Dic59—21no—
172C22×Dic59—42no—
173C22×Dic59—44no—
174C22×Dic59C2×D411yescharacteristic
175C22×Dic59C2×D411yescharacteristic
176C22×Dic59C2×D414yes—
177Q8×D59—48no—
178Q8×D59—48no—
179C2×C4×D59—24no—
180C2×C4×D59—24no—
181C2×C4×D59—24no—
182C2×C4×D59—24no—
183C2×C4×D59—48no—
184C2×C4×D59—48no—
185C2×C4×D59—42no—
186C2×C4×D59—42no—
187C2×C4×D59—44no—
188C2×C4×D59—44no—
189C2×C4×D59C2×D412yes—
190C2×C4×D59C2×D412yes—
191C2×C4×D59C2×D414yes—
192C2×C4×D59C2×D414yes—
193C2×C4×D59C2412yes—
194C2×C4×D59C2412yes—
195C2×Dic118—24no—
196C2×Dic118—21no—
197C2×Dic118—24no—
198C2×Dic118—44no—
199C2×Dic118C2412yes—
200Q16×C59—48no—
201C2×C8×C59—24no—
202C2×C8×C59C2414yes—
203C4⋊C4×C59—24no—
204C4⋊C4×C59—21no—
205C4⋊C4×C59C2412yes—
206C22⋊C4×C59—24no—
207C22⋊Dic59—24no—
208#11745672—48no—
209(C2×D59)⋊C4—24no—
210(C2×D59)⋊C4—24no—
211(C2×D59)⋊C4—28no—
212(C2×D59)⋊C4—28no—
213C4⋊Dic59—21no—
214C4⋊Dic59—24no—
215C4⋊Dic59—22no—
216C4⋊Dic59—24no—
217C4⋊Dic59C2412yes—
218C4⋊Dic59C2414yes—
219Dic59⋊C4—24no—
220Dic59⋊C4—24no—
221Dic59⋊C4—24no—
222Dic59⋊C4—28no—
223Dic59⋊C4—28no—
224C2×C59⋊C8—24no—
225C2×C59⋊C8C2414yes—
226C8×D59—48no—
227C23×C59—22no—
228C23×C59—22no—
229C23×C59C2×Q1614yes—
230C23×C59C22×D412yes—
231C23×C59C22×D411yescharacteristic
232C22×D59—22no—
233C22×D59—22no—
234C22×D59—22no—
235C22×D59—22no—
236C22×D59—44no—
237C22×D59—416no—
238C22×D59—44no—
239C22×D59C2×Q1614yes—
240C22×D59C2×Q1614yes—
241C22×D59C2×Q16116yescomplemented
242C22×D59C22×D412yes—
243C22×D59C22×D412yes—
244Q8×C59—24no—
245Q8×C59—24no—
246Q8×C59—24no—
247Q8×C59—48no—
248Q8×C59—42no—
249Q8×C59—44no—
250C2×C4×C59—22no—
251C2×C4×C59—24no—
252C2×C4×C59—24no—
253C2×C4×C59—24no—
254C2×C4×C59—22no—
255C2×C4×C59—22no—
256C2×C4×C59—48no—
257C2×C4×C59—42no—
258C2×C4×C59—44no—
259C2×C4×C59—42no—
260C2×C4×C59C22×D412yes—
261C2×C4×C59C22×D411yescharacteristic
262C2×C4×C59H(5,𝔽2)14yes—
263C2×C4×C59C2511yescharacteristic
264C2×Dic59—22no—
265C2×Dic59—22no—
266C2×Dic59—22no—
267C2×Dic59—24no—
268C2×Dic59—22no—
269C2×Dic59—44no—
270C2×Dic59—48no—
271C2×Dic59—42no—
272C2×Dic59—42no—
273C2×Dic59—44no—
274C2×Dic59C22×D412yes—
275C2×Dic59C22×D412yes—
276C4×D59—24no—
277C4×D59—24no—
278C4×D59—24no—
279C4×D59—24no—
280C4×D59—44no—
281C4×D59—44no—
282C4×D59—48no—
283C4×D59—48no—
284Dic118—24no—
285Dic118—48no—
286Dic118—42no—
287C8×C59—24no—
288C59⋊C8—24no—
289C2×#3189—591nomaximal, Sylow
290C22×C59—28no—
291C22×C59—22no—
292C22×C59—22no—
293C22×C59#53412yes—
294C22×C59C22×Q1614yes—
295C22×C59C22×Q1612yes—
296C22×C59#57512yes—
297C22×C59C23×D411yescharacteristic
298C2×D59—28no—
299C2×D59—28no—
300C2×D59—22no—
301C2×D59—22no—
302C2×D59—22no—
303C2×D59—22no—
304C2×D59—416no—
305C2×D59C22×Q1614yes—
306C2×D59C22×Q1614yes—
307C4×C59—22no—
308C4×C59—42no—
309C4×C59—44no—
310C4×C59—42no—
311C4×C59#53412yes—
312C4×C59C2×H(5,𝔽2)12yes—
313Dic59—22no—
314Dic59—22no—
315Dic59—42no—
316Dic59—42no—
317Dic59—44no—
318C22×C22⋊Q8—591no—
319C22×C22⋊Q8—591no—
320#3189—5916no—
321C2×#484—592no—
322C2×#484—591no—
323C2×#484—591no—
324C2×#467—592no—
325C2×#467—592no—
326C2×#451—591no—
327C2×#451—592no—
328C2×#451D5911yescharacteristic, complemented
329C22×C22⋊C8—591no—
330C2×C59—24no—
331C2×C59#318914yescomplemented
332C2×C59C2×#53411yescharacteristic
333C2×C59C23×Q1611yescharacteristic
334C2×C59C2×#57511yescharacteristic
335D59—24no—
336D59—24no—
337C23×Q8—591no—
338C23×Q8C2×D5911yescharacteristic
339C24×C4—591no—
340C22×Q16—592no—
341C22×Q16C2×D5912yescomplemented
342C23×C8—592no—
343C2×C22⋊Q8—592no—
344C2×C22⋊Q8—598no—
345C2×C22⋊Q8—592no—
346C2×C22⋊Q8—591no—
347C2×C22⋊Q8—591no—
348C2×C22⋊Q8—598no—
349C2×C22⋊Q8—591no—
350C2×C22⋊Q8—1181no—
351C2×C22⋊Q8—1181no—
352C2×C22⋊Q8—1184no—
353C2×C22⋊Q8—1181no—
354C2×C22⋊Q8—1184no—
355C2×C22⋊Q8—1181no—
356C2×C22⋊Q8C2×D5911yescharacteristic
357C22×C4⋊C4—591no—
358C22×C4⋊C4—591no—
359C22×C4⋊C4—1181no—
360C22×C4⋊C4—1181no—
361C22×C22⋊C4—1181no—
362C22×C22⋊C4—1181no—
363#484—598no—
364#484—5916no—
365#484—598no—
366#467—5916no—
367#467—5916no—
368#451—598no—
369#451—5916no—
370#451C2×D5918yescomplemented
371C2×#107—592no—
372C2×#107—592no—
373C2×#103—592no—
374C2×#103—592no—
375C2×#103—592no—
376C2×#103C2×D5912yescomplemented
377C2×C22⋊C8—591no—
378C2×C22⋊C8—592no—
379C2×C22⋊C8—598no—
380C2×C22⋊C8C2×D5911yescharacteristic
381C59C2×#318911yescharacteristic, complemented, Sylow
382C25—591no—
383C22×Q8—22no—
384C22×Q8—21no—
385C22×Q8—44no—
386C22×Q8—594no—
387C22×Q8—591no—
388C22×Q8—1181no—
389C22×Q8—1182no—
390C22×Q8—2364no—
391C22×Q8C22×D5912yes—
392C22×Q8C22×D5911yescharacteristic
393C22×Q8C22×D5914yes—
394C23×C4—21no—
395C23×C4—591no—
396C23×C4—591no—
397C23×C4—591no—
398C23×C4—591no—
399C23×C4—591no—
400C23×C4—594no—
401C23×C4—594no—
402C23×C4—1181no—
403C23×C4—1181no—
404C23×C4—1181no—
405C23×C4—2364no—
406C23×C4C22×D5911yescharacteristic
407C2×Q16—44no—
408C2×Q16—598no—
409C2×Q16—2364no—
410C2×Q16C22×D5918yescomplemented
411C22×C8—592no—
412C22×C8—598no—
413C22×C8—2364no—
414C22×C8C22×D5912yes—
415C22⋊Q8—22no—
416C22⋊Q8—598no—
417C22⋊Q8—594no—
418C22⋊Q8—598no—
419C22⋊Q8—594no—
420C22⋊Q8—594no—
421C22⋊Q8—1188no—
422C22⋊Q8—1188no—
423C22⋊Q8—1182no—
424C22⋊Q8—1184no—
425C22⋊Q8—1182no—
426C22⋊Q8—1184no—
427C22⋊Q8—1188no—
428C22⋊Q8—1188no—
429C22⋊Q8—1182no—
430C22⋊Q8C22×D5914yes—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—592no—
433C2×C4⋊C4—591no—
434C2×C4⋊C4—594no—
435C2×C4⋊C4—594no—
436C2×C4⋊C4—1182no—
437C2×C4⋊C4—1188no—
438C2×C4⋊C4—1181no—
439C2×C4⋊C4—1188no—
440C2×C4⋊C4—1181no—
441C2×C4⋊C4—1182no—
442C2×C4⋊C4—1182no—
443C2×C4⋊C4—1181no—
444C2×C4⋊C4—1182no—
445C2×C4⋊C4—1181no—
446C2×C4⋊C4—1181no—
447C2×C4⋊C4C22×D5911yescharacteristic
448C2×C22⋊C4—21no—
449C2×C22⋊C4—1188no—
450C2×C22⋊C4—1188no—
451C2×C22⋊C4—1181no—
452C2×C22⋊C4—1181no—
453C2×C22⋊C4—1182no—
454C2×C22⋊C4—1182no—
455C2×C22⋊C4—1181no—
456#107—598no—
457#107—598no—
458#103—598no—
459#103—598no—
460#103—598no—
461#103C22×D5918yescomplemented
462C22⋊C8—594no—
463C22⋊C8—598no—
464C22⋊C8C22×D5914yes—
465C24—591no—
466C24—591no—
467C24—598no—
468C24—594no—
469C24—2362no—
470C24—2362no—
471C24D4×D5911yescharacteristic
472C2×Q8—21no—
473C2×Q8—24no—
474C2×Q8—22no—
475C2×Q8—24no—
476C2×Q8—24no—
477C2×Q8—24no—
478C2×Q8—48no—
479C2×Q8—44no—
480C2×Q8—48no—
481C2×Q8—592no—
482C2×Q8—1184no—
483C2×Q8—1181no—
484C2×Q8—1184no—
485C2×Q8—2364no—
486C2×Q8—2368no—
487C2×Q8—2368no—
488C2×Q8C23×D5912yes—
489C2×Q8C23×D5914yes—
490C22×C4—24no—
491C22×C4—24no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—22no—
495C22×C4—44no—
496C22×C4—591no—
497C22×C4—591no—
498C22×C4—594no—
499C22×C4—592no—
500C22×C4—592no—
501C22×C4—592no—
502C22×C4—592no—
503C22×C4—594no—
504C22×C4—594no—
505C22×C4—1184no—
506C22×C4—1184no—
507C22×C4—1184no—
508C22×C4—1184no—
509C22×C4—1184no—
510C22×C4—1182no—
511C22×C4—1181no—
512C22×C4—1181no—
513C22×C4—2368no—
514C22×C4—2368no—
515C22×C4—2362no—
516C22×C4—2362no—
517C22×C4—2364no—
518C22×C4—2364no—
519C22×C4—2362no—
520C22×C4—2364no—
521C22×C4D4×D5912yes—
522C22×C4D4×D5911yescharacteristic
523C22×C4C23×D5912yes—
524C22×C4C23×D5911yescharacteristic
525Q16—48no—
526Q16—2368no—
527C2×C8—24no—
528C2×C8—594no—
529C2×C8—1184no—
530C2×C8—2368no—
531C2×C8C23×D5914yes—
532C4⋊C4—24no—
533C4⋊C4—21no—
534C4⋊C4—592no—
535C4⋊C4—594no—
536C4⋊C4—1184no—
537C4⋊C4—1184no—
538C4⋊C4—1188no—
539C4⋊C4—1188no—
540C4⋊C4—1184no—
541C4⋊C4—1184no—
542C4⋊C4—1181no—
543C4⋊C4—1182no—
544C4⋊C4—1184no—
545C4⋊C4C23×D5912yes—
546C22⋊C4—24no—
547C22⋊C4—1184no—
548C22⋊C4—1184no—
549C22⋊C4—1188no—
550C22⋊C4—1188no—
551C22⋊C4—1184no—
552C23—22no—
553C23—22no—
554C23—594no—
555C23—594no—
556C23—592no—
557C23—592no—
558C23—5916no—
559C23—1182no—
560C23—1182no—
561C23—1182no—
562C23—1182no—
563C23—2364no—
564C23—2364no—
565C23—23616no—
566C23Q16×D5914yes—
567C23C2×D4×D5912yes—
568C23C2×D4×D5911yescharacteristic
569Q8—24no—
570Q8—24no—
571Q8—24no—
572Q8—48no—
573Q8—44no—
574Q8—42no—
575Q8—1184no—
576Q8—2368no—
577Q8—2362no—
578C2×C4—22no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—24no—
584C2×C4—48no—
585C2×C4—42no—
586C2×C4—44no—
587C2×C4—42no—
588C2×C4—592no—
589C2×C4—592no—
590C2×C4—1182no—
591C2×C4—1182no—
592C2×C4—1184no—
593C2×C4—1184no—
594C2×C4—1184no—
595C2×C4—1184no—
596C2×C4—1182no—
597C2×C4—1184no—
598C2×C4—1182no—
599C2×C4—2364no—
600C2×C4—2364no—
601C2×C4—2368no—
602C2×C4—2368no—
603C2×C4—2364no—
604C2×C4—2368no—
605C2×C4—2362no—
606C2×C4—2364no—
607C2×C4—2362no—
608C2×C4C2×D4×D5912yes—
609C2×C4C2×D4×D5911yescharacteristic
610C2×C4#1427377214yes—
611C2×C4C24×D5911yescharacteristic
612C8—24no—
613C8—1184no—
614C22—22no—
615C22—22no—
616C22—28no—
617C22—594no—
618C22—594no—
619C22—1182no—
620C22—1182no—
621C22—1182no—
622C22—1182no—
623C22—1188no—
624C22—1188no—
625C22—23616no—
626C22#1683796212yes—
627C22C2×Q16×D5914yes—
628C22C2×Q16×D5912yes—
629C22#1683820112yes—
630C22C22×D4×D5911yescharacteristic
631C4—22no—
632C4—42no—
633C4—44no—
634C4—42no—
635C4—1182no—
636C4—1182no—
637C4—2362no—
638C4—2364no—
639C4—2362no—
640C4#1683796212yes—
641C4C2×#1427377212yes—
642C2—24no—
643C2—1184no—
644C2—1184no—
645C2#2143486914yesdirect product factor
646C2C2×#1683796211yescharacteristic
647C2C22×Q16×D5911yescharacteristic
648C2C2×#1683820111yescharacteristic
subgroupG/H
centerC23C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#451C2
socleC23×C59C22×D4
prime radicalC24×D59D4
hypercenterC2×#451D59
hypocenterC59C2×#3189
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#451

Complements

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

NH ≅ G/Ntype
3. #21434869C2direct (N × H)
4. C2×#16837738C2semidirect
5. C2×#16837736C2semidirect
6. C2×#16837735C2semidirect
7. C2×#16837642C2semidirect
8. C2×#16837640C2semidirect
9. C2×#16837558C2semidirect
10. C2×#16837556C2semidirect
12. C2×C59×#451C2semidirect
15. C22×#11745672C22semidirect
36. #16837738C22semidirect
37. #16837736C22semidirect
38. #16837735C22semidirect
39. #16837642C22semidirect
40. #16837640C22semidirect
41. #16837558C22semidirect
42. #16837556C22semidirect
43. C2×#14273661C22semidirect
44. C2×#14273660C22semidirect
45. C2×#14273652C22semidirect
46. C2×#14273651C22semidirect
47. C2×#14273651C22semidirect
52. C22×Q16×C59C22semidirect
54. C59×#451C22semidirect
55. C2×#103×C59C22semidirect
75. C2×#11745672C23semidirect
115. #14273661C23semidirect
116. #14273660C23semidirect
117. #14273652C23semidirect
118. #14273651C23semidirect
119. #14273651C23semidirect
131. C2×Q16×C59C23semidirect
138. #103×C59C23semidirect
143. C23×D59Q16semidirect
241. C22×D59C2×Q16semidirect
328. C2×#451D59semidirect
331. C2×C59#3189semidirect
341. C22×Q16C2×D59semidirect
370. #451C2×D59semidirect
376. C2×#103C2×D59semidirect
381. C59C2×#3189semidirect
410. C2×Q16C22×D59semidirect
461. #103C22×D59semidirect
645. C2#21434869direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#142737032
C2×C22⋊Q8×D592
#214348692
C2×#168377382
C2×#168377362
C2×#168377352
C2×#168376422
C2×#168376402
C2×#168375582
C2×#168375562
C2×C22⋊C8×D592
C2×C59×#4512
C2×#318959