Finite Group Databasebeta

← #27422592

Subgroups — #27422592

Order 13568.

992 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810956C211yesmaximal, characteristic, complemented
2C2×#16810624C211yesmaximal, characteristic
3#20277582C211yesmaximal, characteristic, complemented
4#20276110C211yesmaximal, characteristic, complemented
5#20276103C211yesmaximal, characteristic, complemented
6#20275958C211yesmaximal, characteristic, complemented
7#20275951C211yesmaximal, characteristic, complemented
8#20275648C211yesmaximal, characteristic, complemented
9#20275639C211yesmaximal, characteristic, complemented
10#20275353C211yesmaximal, characteristic, complemented
11#20275332C211yesmaximal, characteristic, complemented
12#20275149C211yesmaximal, characteristic, complemented
13#20274900C211yesmaximal, characteristic, complemented
14#20274655C211yesmaximal, characteristic
15C53×#2432C211yesmaximal, characteristic
16C22×#11719917C2211yescharacteristic
17C2×#13133173—21no—
18C22×C4⋊Dic53C2211yescharacteristic
19#16810956—24no—
20C2×#13133150C2211yescharacteristic
21C2×#13133150C2211yescharacteristic
22C2×C4⋊#88322C2211yescharacteristic
23C2×C4⋊#88322C2211yescharacteristic
24#16810624—24no—
25C2×#13133141C2211yescharacteristic
26C2×#13133141C2211yescharacteristic
27C2×#13133141C2211yescharacteristic
28C2×#13133141C2211yescharacteristic
29C2×#13133141C2211yescharacteristic
30C2×#13133141C2211yescharacteristic
31C2×#13133141C2211yescharacteristic
32C2×#13133141C2211yescharacteristic
33C2×#13133138C2211yescharacteristic
34C2×#13133138C2211yescharacteristic
35C2×#13133138C2211yescharacteristic
36C2×#13133138C2211yescharacteristic
37C2×C22⋊#88322C2211yescharacteristic
38#16810521C2211yescharacteristic
39#16810521C2211yescharacteristic
40#16810508—21no—
41#16810508—21no—
42#16810484—21no—
43#16810483C2211yescharacteristic
44C4×C4⋊Dic53C2211yescharacteristic
45C4×C4⋊Dic53C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810378C2211yescharacteristic
49#16810378C2211yescharacteristic
50C22×#41×C53C2211yescharacteristic
51C2×C4⋊Q8×C53C2211yescharacteristic
52C2×#124×C53C2211yescharacteristic
53C2×C22⋊Q8×C53C2211yescharacteristic
54C53×#394—21no—
55C53×#394—21no—
56C53×#391C2211yescharacteristic
57C53×#390C2211yescharacteristic
58C53×#385—21no—
59C53×#385—21no—
60C4×C22⋊C4×C53C2211yescharacteristic
61C23×Dic53—21no—
62C2×#11719917—22no—
63C2×#11719917—41no—
64C2×#11719917—41no—
65C22×#88322C2311yescharacteristic
66C22×#88322C2311yescharacteristic
67C22×#88322C2311yescharacteristic
68C22×#88322C2311yescharacteristic
69#13133173—44no—
70C2×C4⋊Dic53—21no—
71C2×C4⋊Dic53—22no—
72C2×C4⋊Dic53D414yes—
73C2×C4⋊Dic53C2311yescharacteristic
74C2×C4⋊Dic53C2311yescharacteristic
75C2×C4⋊Dic53C2311yescharacteristic
76C2×C4⋊Dic53C2311yescharacteristic
77C2×#11719919—21no—
78C2×#11719919—21no—
79C2×C22⋊Dic53—21no—
80C2×C4×Dic53—21no—
81C2×C4×Dic53—21no—
82#13133150—22no—
83#13133150—22no—
84C4⋊#88322—41no—
85C4⋊#88322—41no—
86#13133141—22no—
87#13133141—22no—
88#13133141—22no—
89#13133141—22no—
90#13133141—22no—
91#13133141—41no—
92#13133141—41no—
93#13133141—41no—
94#13133138—22no—
95#13133138—22no—
96#13133138—22no—
97#13133138—41no—
98C22⋊#88322—22no—
99#13133124—21no—
100#13133124—21no—
101#13133124—21no—
102#13133124—21no—
103#13133124—21no—
104C2×#41×C53—22no—
105C2×#41×C53—22no—
106C2×#41×C53—22no—
107C2×#41×C53—22no—
108C2×#41×C53—41no—
109C2×#41×C53—41no—
110C22×Q8×C53C2311yescharacteristic
111C22×Q8×C53C2311yescharacteristic
112C22×D4×C53—21no—
113C22×D4×C53C2311yescharacteristic
114C23×C4×C53—21no—
115C23×C4×C53C2311yescharacteristic
116C4⋊Q8×C53—22no—
117C4⋊Q8×C53—41no—
118#124×C53—22no—
119#124×C53—41no—
120C22⋊Q8×C53—22no—
121C22⋊Q8×C53—22no—
122C2×C4⋊C4×C53—21no—
123C2×C4⋊C4×C53—21no—
124C2×C4⋊C4×C53—21no—
125C2×C4⋊C4×C53C2311yescharacteristic
126C2×C22⋊C4×C53—21no—
127C2×C22⋊C4×C53—21no—
128C2×C22⋊C4×C53—21no—
129C2×C22⋊C4×C53—21no—
130C2×C22⋊C4×C53—21no—
131C2×C22⋊C4×C53D411yescharacteristic
132C2×C22⋊C4×C53D411yescharacteristic
133C2×C42×C53C2311yescharacteristic
134C2×C42×C53C2311yescharacteristic
135#95×C53—21no—
136#95×C53—21no—
137#95×C53D411yescharacteristic
138#95×C53D411yescharacteristic
139C24×C53—21no—
140C24×C53C2×D411yescharacteristic
141#41×C53—28no—
142#41×C53—44no—
143#41×C53—44no—
144#41×C53—44no—
145C2×Q8×C53—21no—
146C2×Q8×C53—21no—
147C2×Q8×C53—21no—
148C2×Q8×C53—21no—
149C2×Q8×C53—21no—
150C2×Q8×C53—21no—
151C2×Q8×C53—21no—
152C2×Q8×C53—21no—
153C2×Q8×C53—21no—
154C2×Q8×C53—21no—
155C2×Q8×C53—21no—
156C2×Q8×C53#4112yes—
157C2×D4×C53—21no—
158C2×D4×C53—21no—
159C2×D4×C53—21no—
160C2×D4×C53—21no—
161C2×D4×C53—21no—
162C2×D4×C53—42no—
163C2×D4×C53—42no—
164C2×D4×C53—42no—
165C2×D4×C53#4112yes—
166C22×C4×C53—21no—
167C22×C4×C53—21no—
168C22×C4×C53—21no—
169C22×C4×C53—21no—
170C22×C4×C53—21no—
171C22×C4×C53—21no—
172C22×C4×C53—21no—
173C22×C4×C53—42no—
174C22×C4×C53—42no—
175C22×C4×C53—42no—
176C22×C4×C53C2×D411yescharacteristic
177C22×C4×C53C2×D411yescharacteristic
178C22×C4×C53C2×D411yescharacteristic
179C22×C4×C53C2×D411yescharacteristic
180C22×C4×C53C2×D412yes—
181C22×C4×C53C2×D411yescharacteristic
182C22×C4×C53#4112yes—
183C22×C4×C53C2411yescharacteristic
184C22×Dic53—24no—
185C22×Dic53—21no—
186C22×Dic53—21no—
187C22×Dic53—21no—
188C22×Dic53—21no—
189C22×Dic53—42no—
190C22×Dic53—42no—
191C4⋊C4×C53—21no—
192C4⋊C4×C53—21no—
193C4⋊C4×C53—42no—
194C4⋊C4×C53—42no—
195C4⋊C4×C53—42no—
196C22⋊C4×C53—22no—
197C22⋊C4×C53—41no—
198C22⋊C4×C53—42no—
199C22⋊C4×C53—42no—
200C22⋊C4×C53—42no—
201C22⋊C4×C53—42no—
202C22⋊C4×C53—42no—
203C42×C53—21no—
204C42×C53—21no—
205C42×C53—21no—
206C42×C53—21no—
207C22⋊Dic53—42no—
208C4⋊Dic53—24no—
209C4⋊Dic53—21no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53—21no—
214C4⋊Dic53—21no—
215C4⋊Dic53C2×D412yes—
216C4⋊Dic53C2×D412yes—
217#11719919—42no—
218#11719919—42no—
219C4×Dic53—42no—
220C4×Dic53—42no—
221#11719917—44no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322—21no—
227C2×#88322—21no—
228C2×#88322—21no—
229C2×#88322—21no—
230C2×#88322—21no—
231C2×#88322—21no—
232C2×#88322—21no—
233C2×#88322—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53—21no—
240C23×C53—22no—
241C23×C53—41no—
242C23×C53—41no—
243C23×C53—41no—
244C23×C53—41no—
245C23×C53—41no—
246C23×C53—41no—
247C23×C53#12112yes—
248C23×C53C22×D411yescharacteristic
249Q8×C53—22no—
250Q8×C53—22no—
251Q8×C53—41no—
252Q8×C53—41no—
253Q8×C53—41no—
254Q8×C53—41no—
255Q8×C53—41no—
256Q8×C53—41no—
257D4×C53—22no—
258D4×C53—22no—
259D4×C53—48no—
260D4×C53—41no—
261D4×C53—41no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53—21no—
265C2×C4×C53—21no—
266C2×C4×C53—22no—
267C2×C4×C53—22no—
268C2×C4×C53—22no—
269C2×C4×C53—22no—
270C2×C4×C53—22no—
271C2×C4×C53—21no—
272C2×C4×C53—21no—
273C2×C4×C53—21no—
274C2×C4×C53—21no—
275C2×C4×C53—21no—
276C2×C4×C53—21no—
277C2×C4×C53—21no—
278C2×C4×C53—21no—
279C2×C4×C53—21no—
280C2×C4×C53—48no—
281C2×C4×C53—41no—
282C2×C4×C53—41no—
283C2×C4×C53—41no—
284C2×C4×C53—41no—
285C2×C4×C53—41no—
286C2×C4×C53—41no—
287C2×C4×C53—41no—
288C2×C4×C53—41no—
289C2×C4×C53#12112yes—
290C2×C4×C53AGL(1,ℤ/8)12yes—
291C2×C4×C53C22×D411yescharacteristic
292C2×C4×C53C2×#4111yescharacteristic
293C2×C4×C53C2×#4111yescharacteristic
294C2×C4×C53C2×#4111yescharacteristic
295C2×C4×C53H(5,𝔽2)11yescharacteristic
296C2×C4×C53H(5,𝔽2)11yescharacteristic
297C2×Dic53—22no—
298C2×Dic53—22no—
299C2×Dic53—48no—
300C2×Dic53—41no—
301C2×Dic53—41no—
302C2×Dic53—41no—
303C2×Dic53—41no—
304C2×Dic53—41no—
305C2×Dic53—41no—
306C2×Dic53—41no—
307C2×Dic53—41no—
308C2×Dic53—41no—
309C2×Dic53—41no—
310#88322—41no—
311#88322—41no—
312#88322—41no—
313#88322—41no—
314#24489—531nomaximal, Sylow
315C22×C53—22no—
316C22×C53—22no—
317C22×C53—22no—
318C22×C53—41no—
319C22×C53—41no—
320C22×C53—41no—
321C22×C53—41no—
322C22×C53—42no—
323C22×C53—42no—
324C22×C53—42no—
325C22×C53—81no—
326C22×C53—81no—
327C22×C53—81no—
328C22×C53—81no—
329C22×C53C2×#12111yescharacteristic
330C22×C53#54611yescharacteristic
331C22×C53#54611yescharacteristic
332C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
333C22×C53#57511yescharacteristic
334C22×C53#57811yescharacteristic
335C22×C53#57811yescharacteristic
336C4×C53—22no—
337C4×C53—22no—
338C4×C53—41no—
339C4×C53—42no—
340C4×C53—41no—
341C4×C53—41no—
342C4×C53—81no—
343C4×C53—81no—
344C4×C53#52511yescharacteristic
345C4×C53#53511yescharacteristic
346C4×C53#55111yescharacteristic
347C4×C53#55111yescharacteristic
348Dic53—42no—
349Dic53—42no—
350Dic53—81no—
351Dic53—81no—
352C2×#484—531no—
353C2×#417—531no—
354#2432D5311yescharacteristic
355#2344—531no—
356#2068—531no—
357#2067—531no—
358#2043—531no—
359#2042—531no—
360#1983—531no—
361#1981—531no—
362#1928—531no—
363#1925—531no—
364#1894—531no—
365#1851—531no—
366#1788—531no—
367C2×C53—42no—
368C2×C53—82no—
369C2×C53#241111yescharacteristic
370C2×C53#303611yescharacteristic
371C2×C53#304411yescharacteristic
372C2×C53#330811yescharacteristic
373C2×C53#331511yescharacteristic
374C2×C53#332711yescharacteristic
375C2×C53#333011yescharacteristic
376C22×#41C2×D5311yescharacteristic
377C22×M16—531no—
378C2×C4⋊Q8C2×D5311yescharacteristic
379C2×#124C2×D5311yescharacteristic
380C2×C22⋊Q8C2×D5311yescharacteristic
381C2×#117—1061no—
382C22×C4⋊C4—531no—
383#484—1064no—
384C2×#107—531no—
385C2×#107—531no—
386C2×C4⋊C8—531no—
387C2×C4⋊C8—531no—
388#417—1064no—
389C2×#103—531no—
390C2×#103—531no—
391C2×#103—531no—
392C2×#103—531no—
393C2×#103—531no—
394C2×#103—531no—
395C2×#103—531no—
396C2×#103—531no—
397C2×#102—531no—
398C2×#102—531no—
399C2×#102—531no—
400C2×#102—531no—
401C2×C22⋊C8—531no—
402#394—21no—
403#394—21no—
404#391C2×D5311yescharacteristic
405#390C2×D5311yescharacteristic
406#389—531no—
407#389—531no—
408#387—1061no—
409#387—1061no—
410#385—21no—
411#385—21no—
412#381—1061no—
413#380—531no—
414C4×C4⋊C4—531no—
415C4×C4⋊C4—531no—
416C4×C22⋊C4C2×D5311yescharacteristic
417#340—531no—
418#340—531no—
419#336—531no—
420#336—531no—
421C53#2448911yescharacteristic, complemented, Sylow
422C2×#41—22no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—22no—
426C2×#41—41no—
427C2×#41—41no—
428C22×Q8C22×D5311yescharacteristic
429C22×Q8C22×D5311yescharacteristic
430C22×D4—21no—
431C22×D4C22×D5311yescharacteristic
432C23×C4—21no—
433C23×C4—1061no—
434C23×C4C22×D5311yescharacteristic
435C2×M16—1062no—
436C2×M16—2121no—
437C2×M16—2121no—
438C22×C8—531no—
439C22×C8—531no—
440C22×C8—531no—
441C22×C8—531no—
442C4⋊Q8—22no—
443C4⋊Q8—41no—
444#124—22no—
445#124—41no—
446C22⋊Q8—22no—
447C22⋊Q8—22no—
448#117—2124no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—534no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—531no—
457C2×C4⋊C4—1062no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4—1061no—
460C2×C4⋊C4—1061no—
461C2×C4⋊C4C22×D5311yescharacteristic
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—1061no—
468C2×C22⋊C4C22⋊D5311yescharacteristic
469C2×C22⋊C4C22⋊D5311yescharacteristic
470C2×C42—1061no—
471C2×C42—1061no—
472C2×C42C22×D5311yescharacteristic
473C2×C42C22×D5311yescharacteristic
474#107—1062no—
475#107—1062no—
476C4⋊C8—2121no—
477C4⋊C8—2121no—
478#103—1062no—
479#103—1062no—
480#103—1062no—
481#103—1062no—
482#103—1062no—
483#103—2121no—
484#103—2121no—
485#103—2121no—
486#102—1062no—
487#102—1062no—
488#102—1062no—
489#102—2121no—
490C22⋊C8—1062no—
491#95—21no—
492#95—21no—
493#95—1061no—
494#95—1061no—
495#95—1061no—
496#95—1061no—
497#95—1061no—
498#95C22⋊D5311yescharacteristic
499#95C22⋊D5311yescharacteristic
500C24—21no—
501C24C2×C22⋊D5311yescharacteristic
502#41—28no—
503#41—44no—
504#41—44no—
505#41—44no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8#1171994712yes—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—42no—
524C2×D4—42no—
525C2×D4—42no—
526C2×D4#1171994712yes—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—1064no—
538C22×C4—1061no—
539C22×C4—1061no—
540C22×C4—1061no—
541C22×C4—1061no—
542C22×C4—2122no—
543C22×C4—2122no—
544C22×C4D4×D5312yes—
545C22×C4#1171994712yes—
546C22×C4C2×C22⋊D5311yescharacteristic
547C22×C4C2×C22⋊D5311yescharacteristic
548C22×C4C2×C22⋊D5311yescharacteristic
549C22×C4C2×C22⋊D5311yescharacteristic
550C22×C4C2×C22⋊D5311yescharacteristic
551C22×C4C23×D5311yescharacteristic
552M16—2124no—
553C2×C8—1061no—
554C2×C8—1061no—
555C2×C8—1061no—
556C2×C8—1061no—
557C2×C8—1061no—
558C2×C8—1061no—
559C2×C8—1061no—
560C2×C8—1061no—
561C2×C8—1061no—
562C2×C8—1061no—
563C2×C8—1061no—
564C2×C8—1061no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—532no—
571C4⋊C4—532no—
572C4⋊C4—1064no—
573C4⋊C4—1061no—
574C4⋊C4—1061no—
575C4⋊C4—1061no—
576C4⋊C4—1061no—
577C4⋊C4—1061no—
578C4⋊C4—1061no—
579C4⋊C4—2122no—
580C4⋊C4—2122no—
581C22⋊C4—22no—
582C22⋊C4—41no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—42no—
588C22⋊C4—2122no—
589C42—21no—
590C42—21no—
591C42—21no—
592C42—21no—
593C42—2122no—
594C42—2122no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—22no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23#1313318812yes—
609C23C22×C22⋊D5311yescharacteristic
610Q8—22no—
611Q8—22no—
612Q8—41no—
613Q8—41no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617Q8—41no—
618D4—22no—
619D4—22no—
620D4—48no—
621D4—41no—
622D4—41no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—48no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—1062no—
651C2×C4—1062no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4—2121no—
657C2×C4—2121no—
658C2×C4—2128no—
659C2×C4—2121no—
660C2×C4—2121no—
661C2×C4—2121no—
662C2×C4—2121no—
663C2×C4#1313318812yes—
664C2×C4#1313324212yes—
665C2×C4C2×D4×D5311yescharacteristic
666C2×C4C2×#1171994711yescharacteristic
667C2×C4C2×#1171994711yescharacteristic
668C2×C4C2×#1171994711yescharacteristic
669C2×C4#1313326211yescharacteristic
670C2×C4#1313326211yescharacteristic
671C8—2121no—
672C8—2121no—
673C8—2121no—
674C8—2121no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×#1313318811yescharacteristic
690C22#1681126711yescharacteristic
691C22#1681126711yescharacteristic
692C22C2×#1313324211yescharacteristic
693C22#1681142111yescharacteristic
694C22#1681143811yescharacteristic
695C22#1681143811yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—41no—
700C4—42no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4—4241no—
705C4—4241no—
706C4—2122no—
707C4—2122no—
708C4#1681112911yescharacteristic
709C4#1681118811yescharacteristic
710C4#1681130411yescharacteristic
711C4#1681130411yescharacteristic
712C2—42no—
713C2—82no—
714C2#2027809611yescharacteristic
715C2#2028417511yescharacteristic
716C2#2028424111yescharacteristic
717C2#2028670611yescharacteristic
718C2#2028681111yescharacteristic
719C2#2028698311yescharacteristic
720C2#2028702011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2432C2
socleC23×C53C22×D4
prime radicalC22×#41×C53C22
hypercenter#2432D53
hypocenterC53#24489
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2432

Complements

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

NH ≅ G/Ntype
1. C2×#16810956C2semidirect
3. #20277582C2semidirect
4. #20276110C2semidirect
5. #20276103C2semidirect
6. #20275958C2semidirect
7. #20275951C2semidirect
8. #20275648C2semidirect
9. #20275639C2semidirect
10. #20275353C2semidirect
11. #20275332C2semidirect
12. #20275149C2semidirect
13. #20274900C2semidirect
421. C53#24489semidirect

Maximal subgroups

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

subgroupindex
C2×#168109562
C2×#168106242
#202775822
#202761102
#202761032
#202759582
#202759512
#202756482
#202756392
#202753532
#202753322
#202751492
#202749002
#202746552
C53×#24322
#2448953