Finite Group Databasebeta

← #28632579

Subgroups — #28632579

Order 15104.

986 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837564C211yesmaximal, characteristic
2C2×C4×#11745670C211yesmaximal, characteristic, complemented
3#21427599C211yesmaximal, characteristic, complemented
4#21425644C211yesmaximal, characteristic, complemented
5#21425532C211yesmaximal, characteristic, complemented
6#21425418C211yesmaximal, characteristic, complemented
7#21425299C211yesmaximal, characteristic, complemented
8#21424775C211yesmaximal, characteristic, complemented
9#21424704C211yesmaximal, characteristic, complemented
10#21424440C211yesmaximal, characteristic, complemented
11#21424430C211yesmaximal, characteristic, complemented
12#21424343C211yesmaximal, characteristic, complemented
13#21424106C211yesmaximal, characteristic, complemented
14#21424036C211yesmaximal, characteristic
15C59×#2339C211yesmaximal, characteristic
16C22×#11745672C2211yescharacteristic
17C22×#11745670C2211yescharacteristic
18C2×#14273706C2211yescharacteristic
19C2×C4×Dic118C2211yescharacteristic
20#16837564—24no—
21C4×#11745670—24no—
22C2×#14273660C2211yescharacteristic
23C2×#14273658C2211yescharacteristic
24C2×C4⋊(C59⋊C8)C2211yescharacteristic
25C2×#14273651C2211yescharacteristic
26C2×#14273651C2211yescharacteristic
27C2×#14273651C2211yescharacteristic
28C2×#14273650C2211yescharacteristic
29C2×#14273650C2211yescharacteristic
30C2×#14273648C2211yescharacteristic
31C2×#14273648C2211yescharacteristic
32C2×#14273648C2211yescharacteristic
33C2×C22⋊(C59⋊C8)C2211yescharacteristic
34C2×C22⋊(C59⋊C8)C2211yescharacteristic
35C2×C4×C59⋊C8C2211yescharacteristic
36#16837343—21no—
37#16837330—21no—
38#16837308C2211yescharacteristic
39#16837300C2211yescharacteristic
40#16837296—21no—
41#16837284—21no—
42#16837268C2211yescharacteristic
43#16837262C2211yescharacteristic
44#16837164C2211yescharacteristic
45#16837164C2211yescharacteristic
46#16837164C2211yescharacteristic
47#16837164C2211yescharacteristic
48#16837157C2211yescharacteristic
49#16837157C2211yescharacteristic
50C22×#41×C59C2211yescharacteristic
51C2×C4×D4×C59C2211yescharacteristic
52C2×C4×D4×C59C2211yescharacteristic
53C59×#391C2211yescharacteristic
54C59×#391C2211yescharacteristic
55C59×#386—21no—
56C59×#386—21no—
57C59×#381—21no—
58C59×#380C2211yescharacteristic
59C4×C22⋊C4×C59C2211yescharacteristic
60C2×#95×C59—21no—
61C22×Dic118C2311yescharacteristic
62C2×#11745672—22no—
63C2×#11745672—22no—
64C2×#11745672—41no—
65C2×#11745670—22no—
66C2×#11745670—22no—
67C2×#11745670D414yes—
68C22×C59⋊C8C2311yescharacteristic
69C22×C59⋊C8C2311yescharacteristic
70C22×C59⋊C8C2311yescharacteristic
71C22×C59⋊C8C2311yescharacteristic
72#14273706—22no—
73#14273706—41no—
74C4×Dic118—22no—
75C4×Dic118—41no—
76C2×C4⋊Dic59C2311yescharacteristic
77C2×C4⋊Dic59C2311yescharacteristic
78C2×C4⋊Dic59C2311yescharacteristic
79C2×Dic59⋊C4—21no—
80C2×Dic59⋊C4—21no—
81C2×Dic59⋊C4—21no—
82C2×C22⋊Dic59—21no—
83C2×C22⋊Dic59—21no—
84C2×C4×Dic59—21no—
85#14273660—41no—
86#14273658—22no—
87C4⋊(C59⋊C8)—41no—
88#14273651—22no—
89#14273651—22no—
90#14273651—41no—
91#14273650—22no—
92#14273650—41no—
93#14273648—22no—
94#14273648—22no—
95#14273648—22no—
96C22⋊(C59⋊C8)—22no—
97C22⋊(C59⋊C8)—41no—
98C4×C59⋊C8—22no—
99C59⋊#95—21no—
100C59⋊#95—21no—
101C59⋊#95—21no—
102C59⋊#95—21no—
103C59⋊#95—21no—
104C59⋊#95—21no—
105C2×#41×C59—22no—
106C2×#41×C59—22no—
107C2×#41×C59—22no—
108C2×#41×C59—22no—
109C2×#41×C59—41no—
110C2×#41×C59—41no—
111C22×Q8×C59C2311yescharacteristic
112C22×D4×C59—21no—
113C22×D4×C59C2311yescharacteristic
114C23×C4×C59—21no—
115C23×C4×C59—21no—
116C23×C4×C59—21no—
117C23×C4×C59C2311yescharacteristic
118C4×D4×C59—22no—
119C4×D4×C59—22no—
120C4×D4×C59—41no—
121C4×D4×C59—41no—
122C2×C4⋊C4×C59C2311yescharacteristic
123C2×C4⋊C4×C59C2311yescharacteristic
124C2×C22⋊C4×C59—21no—
125C2×C22⋊C4×C59—21no—
126C2×C22⋊C4×C59—21no—
127C2×C22⋊C4×C59D411yescharacteristic
128C2×C22⋊C4×C59D411yescharacteristic
129C2×C42×C59C2311yescharacteristic
130C2×C42×C59C2311yescharacteristic
131#95×C59—21no—
132#95×C59—21no—
133#95×C59—21no—
134#95×C59—21no—
135#95×C59—21no—
136#95×C59D411yescharacteristic
137#95×C59D411yescharacteristic
138C24×C59—21no—
139C24×C59C2×D411yescharacteristic
140#41×C59—44no—
141#41×C59—44no—
142#41×C59—44no—
143#41×C59—44no—
144C2×Q8×C59—21no—
145C2×Q8×C59—21no—
146C2×Q8×C59—21no—
147C2×Q8×C59—21no—
148C2×Q8×C59—21no—
149C2×Q8×C59#4112yes—
150C2×D4×C59—24no—
151C2×D4×C59—21no—
152C2×D4×C59—21no—
153C2×D4×C59—21no—
154C2×D4×C59—42no—
155C2×D4×C59—42no—
156C2×D4×C59C2×D412yes—
157C2×D4×C59#4112yes—
158C2×D4×C59#4112yes—
159C22×C4×C59—24no—
160C22×C4×C59—21no—
161C22×C4×C59—21no—
162C22×C4×C59—21no—
163C22×C4×C59—21no—
164C22×C4×C59—21no—
165C22×C4×C59—21no—
166C22×C4×C59—21no—
167C22×C4×C59—21no—
168C22×C4×C59—21no—
169C22×C4×C59—42no—
170C22×C4×C59—42no—
171C22×C4×C59—42no—
172C22×C4×C59—42no—
173C22×C4×C59—42no—
174C22×C4×C59—42no—
175C22×C4×C59—81no—
176C22×C4×C59—81no—
177C22×C4×C59C2×D411yescharacteristic
178C22×C4×C59C2×D411yescharacteristic
179C22×C4×C59C2×D411yescharacteristic
180C22×C4×C59C2×D411yescharacteristic
181C22×C4×C59C2×D411yescharacteristic
182C22×C4×C59C2411yescharacteristic
183C22×Dic59—21no—
184C22×Dic59—21no—
185C22×Dic59—21no—
186C22×Dic59—21no—
187C2×Dic118—21no—
188C2×Dic118—21no—
189C2×Dic118—21no—
190C2×Dic118—21no—
191C2×Dic118—21no—
192C2×Dic118C2×D412yes—
193C4⋊C4×C59—21no—
194C4⋊C4×C59—21no—
195C4⋊C4×C59—21no—
196C4⋊C4×C59—21no—
197C22⋊C4×C59—22no—
198C22⋊C4×C59—41no—
199C22⋊C4×C59—42no—
200C22⋊C4×C59—42no—
201C22⋊C4×C59—81no—
202C42×C59—21no—
203C42×C59—21no—
204C42×C59—21no—
205C42×C59—21no—
206C22⋊Dic59—42no—
207C22⋊Dic59—42no—
208#11745672—44no—
209#11745670—28no—
210C4⋊Dic59—21no—
211C4⋊Dic59—21no—
212C4⋊Dic59—21no—
213C4⋊Dic59—21no—
214C4⋊Dic59—21no—
215C4⋊Dic59—21no—
216Dic59⋊C4—42no—
217Dic59⋊C4—42no—
218Dic59⋊C4—42no—
219C4×Dic59—42no—
220C2×C59⋊C8—21no—
221C2×C59⋊C8—21no—
222C2×C59⋊C8—21no—
223C2×C59⋊C8—21no—
224C2×C59⋊C8—21no—
225C2×C59⋊C8—21no—
226C2×C59⋊C8—21no—
227C2×C59⋊C8—21no—
228C2×C59⋊C8—21no—
229C2×C59⋊C8—21no—
230C2×C59⋊C8—21no—
231C2×C59⋊C8C2×D412yes—
232C23×C59—22no—
233C23×C59—22no—
234C23×C59—22no—
235C23×C59—21no—
236C23×C59—21no—
237C23×C59—21no—
238C23×C59—21no—
239C23×C59—21no—
240C23×C59—21no—
241C23×C59—21no—
242C23×C59—41no—
243C23×C59—41no—
244C23×C59—41no—
245C23×C59—41no—
246C23×C59C22×D411yescharacteristic
247Q8×C59—22no—
248Q8×C59—22no—
249Q8×C59—41no—
250Q8×C59—41no—
251D4×C59—22no—
252D4×C59—22no—
253D4×C59—22no—
254D4×C59—48no—
255D4×C59#12314yes—
256C2×C4×C59—21no—
257C2×C4×C59—21no—
258C2×C4×C59—21no—
259C2×C4×C59—22no—
260C2×C4×C59—21no—
261C2×C4×C59—21no—
262C2×C4×C59—21no—
263C2×C4×C59—21no—
264C2×C4×C59—21no—
265C2×C4×C59—21no—
266C2×C4×C59—21no—
267C2×C4×C59—21no—
268C2×C4×C59—21no—
269C2×C4×C59—21no—
270C2×C4×C59—21no—
271C2×C4×C59—48no—
272C2×C4×C59—41no—
273C2×C4×C59—41no—
274C2×C4×C59—41no—
275C2×C4×C59—41no—
276C2×C4×C59—41no—
277C2×C4×C59—41no—
278C2×C4×C59—41no—
279C2×C4×C59—41no—
280C2×C4×C59—41no—
281C2×C4×C59—41no—
282C2×C4×C59—41no—
283C2×C4×C59—41no—
284C2×C4×C59—84no—
285C2×C4×C59—84no—
286C2×C4×C59#13512yes—
287C2×C4×C59C22×D411yescharacteristic
288C2×C4×C59C2×#4111yescharacteristic
289C2×C4×C59C2×#4111yescharacteristic
290C2×C4×C59C2×#4111yescharacteristic
291C2×C4×C59H(5,𝔽2)11yescharacteristic
292C2×C4×C59H(5,𝔽2)11yescharacteristic
293C2×Dic59—22no—
294C2×Dic59—41no—
295C2×Dic59—41no—
296C2×Dic59—41no—
297C2×Dic59—41no—
298C2×Dic59—41no—
299C2×Dic59—41no—
300C2×Dic59—41no—
301C2×Dic59—41no—
302C2×Dic59—41no—
303C2×Dic59—41no—
304C2×Dic59—41no—
305Dic118—22no—
306Dic118—22no—
307Dic118—41no—
308Dic118—41no—
309C59⋊C8—22no—
310C59⋊C8—41no—
311C59⋊C8—41no—
312C59⋊C8—41no—
313#24903—591nomaximal, Sylow
314C22×C59—24no—
315C22×C59—42no—
316C22×C59—42no—
317C22×C59—42no—
318C22×C59—42no—
319C22×C59—42no—
320C22×C59—42no—
321C22×C59—41no—
322C22×C59—41no—
323C22×C59—41no—
324C22×C59—41no—
325C22×C59—41no—
326C22×C59—41no—
327C22×C59—41no—
328C22×C59#52511yescharacteristic
329C22×C59D4211yescharacteristic
330C22×C59#54611yescharacteristic
331C22×C59C2×#13511yescharacteristic
332C22×C59#57511yescharacteristic
333C22×C59#57711yescharacteristic
334C22×C59#57811yescharacteristic
335C4×C59—22no—
336C4×C59—41no—
337C4×C59—42no—
338C4×C59—41no—
339C4×C59—41no—
340C4×C59—41no—
341C4×C59—81no—
342C4×C59—81no—
343C4×C59C2×#12311yescharacteristic
344C4×C59#53811yescharacteristic
345C4×C59#54611yescharacteristic
346C4×C59#55111yescharacteristic
347Dic59—42no—
348Dic59—81no—
349Dic59—81no—
350Dic59—81no—
351C2×#452—591no—
352C2×C4×SD16—591no—
353#2421—591no—
354#2339D5911yescharacteristic
355#2097—591no—
356#2077—591no—
357#2056—591no—
358#2036—591no—
359#1933—591no—
360#1923—591no—
361#1878—591no—
362#1877—591no—
363#1862—591no—
364#1804—591no—
365#1788—591no—
366C2×C59—44no—
367C2×C59—81no—
368C2×C59#241811yescharacteristic
369C2×C59#310211yescharacteristic
370C2×C59#312011yescharacteristic
371C2×C59#326911yescharacteristic
372C2×C59#328211yescharacteristic
373C2×C59#330211yescharacteristic
374C2×C59#332311yescharacteristic
375C22×#41C2×D5911yescharacteristic
376C22×Q16—591no—
377C22×SD16—591no—
378C2×C22⋊Q8—591no—
379C2×C4×Q8—591no—
380C2×C4×D4C2×D5911yescharacteristic
381C2×C4×D4C2×D5911yescharacteristic
382#452—1184no—
383C4×SD16—1184no—
384C2×#107—591no—
385C2×#106—591no—
386C2×C4⋊C8—591no—
387C2×#103—591no—
388C2×#103—591no—
389C2×#103—591no—
390C2×#103—591no—
391C2×#103—591no—
392C2×#102—591no—
393C2×#102—591no—
394C2×#102—591no—
395C2×C22⋊C8—591no—
396C2×C22⋊C8—591no—
397C2×C4×C8—591no—
398#400—1181no—
399#397—1181no—
400#391—591no—
401#391C2×D5911yescharacteristic
402#391C2×D5911yescharacteristic
403#389—591no—
404#388—1181no—
405#387—1181no—
406#386—21no—
407#386—21no—
408#382—591no—
409#381—21no—
410#380—591no—
411#380C2×D5911yescharacteristic
412C4×C22⋊C4C2×D5911yescharacteristic
413C2×#95—21no—
414#340—591no—
415#340—591no—
416#340—591no—
417#340—591no—
418#336—591no—
419#336—591no—
420C59#2490311yescharacteristic, complemented, Sylow
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—41no—
426C2×#41—41no—
427C22×Q8—591no—
428C22×Q8C22×D5911yescharacteristic
429C22×D4—21no—
430C22×D4C22×D5911yescharacteristic
431C23×C4—21no—
432C23×C4—21no—
433C23×C4—21no—
434C23×C4C22×D5911yescharacteristic
435C2×Q16—1182no—
436C2×Q16—1182no—
437C2×Q16—2361no—
438C2×SD16—594no—
439C2×SD16—1182no—
440C2×SD16—1182no—
441C22×C8—591no—
442C22×C8—591no—
443C22×C8—591no—
444C22×C8—591no—
445C22⋊Q8—1182no—
446C22⋊Q8—2361no—
447C4×Q8—1182no—
448C4×Q8—2361no—
449C4×D4—22no—
450C4×D4—22no—
451C4×D4—41no—
452C4×D4—41no—
453C2×C4⋊C4—591no—
454C2×C4⋊C4—591no—
455C2×C4⋊C4—591no—
456C2×C4⋊C4—1181no—
457C2×C4⋊C4—1181no—
458C2×C4⋊C4—1181no—
459C2×C4⋊C4C22×D5911yescharacteristic
460C2×C4⋊C4C22×D5911yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—1181no—
465C2×C22⋊C4—1181no—
466C2×C22⋊C4C22⋊D5911yescharacteristic
467C2×C22⋊C4C22⋊D5911yescharacteristic
468C2×C42—1181no—
469C2×C42C22×D5911yescharacteristic
470C2×C42C22×D5911yescharacteristic
471#107—2361no—
472#106—1182no—
473C4⋊C8—2361no—
474#103—1182no—
475#103—1182no—
476#103—1182no—
477#103—2361no—
478#103—2361no—
479#102—1182no—
480#102—1182no—
481#102—1182no—
482C22⋊C8—1182no—
483C22⋊C8—2361no—
484C4×C8—1182no—
485#95—21no—
486#95—21no—
487#95—21no—
488#95—21no—
489#95—21no—
490#95—1181no—
491#95—1181no—
492#95—1181no—
493#95—1181no—
494#95—1181no—
495#95—1181no—
496#95C22⋊D5911yescharacteristic
497#95C22⋊D5911yescharacteristic
498C24—21no—
499C24C2×C22⋊D5911yescharacteristic
500#41—44no—
501#41—44no—
502#41—44no—
503#41—44no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—592no—
510C2×Q8—1181no—
511C2×Q8—1181no—
512C2×Q8—1181no—
513C2×Q8—1181no—
514C2×Q8—1181no—
515C2×Q8#1174568512yes—
516C2×D4—24no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4#1174568512yes—
523C2×D4D4×D5912yes—
524C2×D4#1174568712yes—
525C22×C4—24no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—81no—
542C22×C4—81no—
543C22×C4—1181no—
544C22×C4—1181no—
545C22×C4—1181no—
546C22×C4—1181no—
547C22×C4C2×C22⋊D5911yescharacteristic
548C22×C4C2×C22⋊D5911yescharacteristic
549C22×C4C2×C22⋊D5911yescharacteristic
550C22×C4C2×C22⋊D5911yescharacteristic
551C22×C4C2×C22⋊D5911yescharacteristic
552C22×C4C23×D5911yescharacteristic
553Q16—2364no—
554SD16—1188no—
555C2×C8—592no—
556C2×C8—1181no—
557C2×C8—1181no—
558C2×C8—1181no—
559C2×C8—1181no—
560C2×C8—1181no—
561C2×C8—1181no—
562C2×C8—1181no—
563C2×C8—1181no—
564C2×C8—1181no—
565C2×C8—1181no—
566C2×C8—1181no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—1181no—
572C4⋊C4—1181no—
573C4⋊C4—1181no—
574C4⋊C4—1181no—
575C4⋊C4—1181no—
576C4⋊C4—1181no—
577C4⋊C4—2362no—
578C4⋊C4—2362no—
579C4⋊C4—2362no—
580C22⋊C4—22no—
581C22⋊C4—41no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—81no—
585C22⋊C4—2362no—
586C22⋊C4—2362no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—2362no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23C22×C22⋊D5911yescharacteristic
607Q8—22no—
608Q8—22no—
609Q8—41no—
610Q8—41no—
611Q8—1182no—
612Q8—1182no—
613Q8—2361no—
614Q8—2361no—
615D4—22no—
616D4—22no—
617D4—22no—
618D4—48no—
619D4#1427370914yes—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—48no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—84no—
649C2×C4—84no—
650C2×C4—1182no—
651C2×C4—2361no—
652C2×C4—2361no—
653C2×C4—2361no—
654C2×C4—2361no—
655C2×C4—2361no—
656C2×C4—2361no—
657C2×C4—2361no—
658C2×C4—2361no—
659C2×C4—2361no—
660C2×C4—2361no—
661C2×C4—2361no—
662C2×C4#1427374712yes—
663C2×C4C2×D4×D5911yescharacteristic
664C2×C4C2×#1174568711yescharacteristic
665C2×C4C2×#1174568511yescharacteristic
666C2×C4C2×#1174568511yescharacteristic
667C2×C4#1427377211yescharacteristic
668C2×C4#1427377211yescharacteristic
669C8—1182no—
670C8—2361no—
671C8—2361no—
672C8—2361no—
673C22—24no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—42no—
680C22—41no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22#1683791311yescharacteristic
688C22D4×C22⋊D5911yescharacteristic
689C22#1683804611yescharacteristic
690C22C2×#1427374711yescharacteristic
691C22#1683820011yescharacteristic
692C22#1683821311yescharacteristic
693C22#1683821711yescharacteristic
694C4—22no—
695C4—41no—
696C4—42no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—81no—
701C4—81no—
702C4—4721no—
703C4—4721no—
704C4—4721no—
705C4—2362no—
706C4C2×#1427370911yescharacteristic
707C4#1683799011yescharacteristic
708C4#1683804211yescharacteristic
709C4#1683807811yescharacteristic
710C2—44no—
711C2—81no—
712C2#2142755811yescharacteristic
713C2#2143411411yescharacteristic
714C2#2143431011yescharacteristic
715C2#2143564711yescharacteristic
716C2#2143579911yescharacteristic
717C2#2143601311yescharacteristic
718C2#2143631211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D59
commutator, cosocleC22×C4×C59C24
FrattiniC22×C4C23×D59
FittingC59×#2339C2
socleC23×C59C22×D4
prime radicalC22×#41×C59C22
hypercenter#2339D59
hypocenterC59#24903
LCSG ▷ C22×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11745670C2semidirect
3. #21427599C2semidirect
4. #21425644C2semidirect
5. #21425532C2semidirect
6. #21425418C2semidirect
7. #21425299C2semidirect
8. #21424775C2semidirect
9. #21424704C2semidirect
10. #21424440C2semidirect
11. #21424430C2semidirect
12. #21424343C2semidirect
13. #21424106C2semidirect
420. C59#24903semidirect

Maximal subgroups

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

subgroupindex
C2×#168375642
C2×C4×#117456702
#214275992
#214256442
#214255322
#214254182
#214252992
#214247752
#214247042
#214244402
#214244302
#214243432
#214241062
#214240362
C59×#23392
#2490359