Finite Group Databasebeta

← #27422622

Subgroups — #27422622

Order 13568.

964 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×#16810951C211yesmaximal, characteristic, complemented
2C2×#16810624C211yesmaximal, characteristic
3#20277590C211yesmaximal, characteristic, complemented
4#20276096C211yesmaximal, characteristic, complemented
5#20276089C211yesmaximal, characteristic, complemented
6#20275958C211yesmaximal, characteristic, complemented
7#20275951C211yesmaximal, characteristic, complemented
8#20275648C211yesmaximal, characteristic, complemented
9#20275639C211yesmaximal, characteristic, complemented
10#20275346C211yesmaximal, characteristic, complemented
11#20275339C211yesmaximal, characteristic, complemented
12#20275149C211yesmaximal, characteristic, complemented
13#20274900C211yesmaximal, characteristic, complemented
14#20274655C211yesmaximal, characteristic
15C53×#2432C211yesmaximal, characteristic
16C22×#11719917C2211yescharacteristic
17C22×C4⋊Dic53C2211yescharacteristic
18#16810951—24no—
19C2×#13133148C2211yescharacteristic
20C2×#13133148C2211yescharacteristic
21C2×C4⋊#88322C2211yescharacteristic
22C2×C4⋊#88322C2211yescharacteristic
23#16810624—24no—
24C2×#13133141C2211yescharacteristic
25C2×#13133141C2211yescharacteristic
26C2×#13133141C2211yescharacteristic
27C2×#13133141C2211yescharacteristic
28C2×#13133141C2211yescharacteristic
29C2×#13133141C2211yescharacteristic
30C2×#13133141C2211yescharacteristic
31C2×#13133141C2211yescharacteristic
32C2×#13133138C2211yescharacteristic
33C2×#13133138C2211yescharacteristic
34C2×#13133138C2211yescharacteristic
35C2×#13133138C2211yescharacteristic
36C2×C22⋊#88322C2211yescharacteristic
37#16810521C2211yescharacteristic
38#16810521C2211yescharacteristic
39#16810506—21no—
40#16810506—21no—
41#16810483C2211yescharacteristic
42#16810481—21no—
43C4×C4⋊Dic53C2211yescharacteristic
44C4×C4⋊Dic53C2211yescharacteristic
45C22⋊C4×Dic53—21no—
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
69C2×C4⋊Dic53—21no—
70C2×C4⋊Dic53—22no—
71C2×C4⋊Dic53D414yes—
72C2×C4⋊Dic53C2311yescharacteristic
73C2×C4⋊Dic53C2311yescharacteristic
74C2×C4⋊Dic53C2311yescharacteristic
75C2×C4⋊Dic53C2311yescharacteristic
76C2×#11719919—21no—
77C2×#11719919—21no—
78C2×C22⋊Dic53—21no—
79C2×C4×Dic53—21no—
80C2×C4×Dic53—21no—
81#13133148—22no—
82#13133148—22no—
83C4⋊#88322—41no—
84C4⋊#88322—41no—
85#13133141—22no—
86#13133141—22no—
87#13133141—22no—
88#13133141—22no—
89#13133141—22no—
90#13133141—41no—
91#13133141—41no—
92#13133141—41no—
93#13133138—22no—
94#13133138—22no—
95#13133138—22no—
96#13133138—41no—
97C22⋊#88322—22no—
98#13133124—21no—
99#13133124—21no—
100#13133124—21no—
101#13133124—21no—
102#13133124—21no—
103C2×#41×C53—22no—
104C2×#41×C53—22no—
105C2×#41×C53—22no—
106C2×#41×C53—22no—
107C2×#41×C53—41no—
108C2×#41×C53—41no—
109C22×Q8×C53C2311yescharacteristic
110C22×Q8×C53C2311yescharacteristic
111C22×D4×C53—21no—
112C22×D4×C53C2311yescharacteristic
113C23×C4×C53—21no—
114C23×C4×C53C2311yescharacteristic
115C4⋊Q8×C53—22no—
116C4⋊Q8×C53—41no—
117#124×C53—22no—
118#124×C53—41no—
119C22⋊Q8×C53—22no—
120C22⋊Q8×C53—22no—
121C2×C4⋊C4×C53—21no—
122C2×C4⋊C4×C53—21no—
123C2×C4⋊C4×C53—21no—
124C2×C4⋊C4×C53C2311yescharacteristic
125C2×C22⋊C4×C53—21no—
126C2×C22⋊C4×C53—21no—
127C2×C22⋊C4×C53—21no—
128C2×C22⋊C4×C53—21no—
129C2×C22⋊C4×C53—21no—
130C2×C22⋊C4×C53D411yescharacteristic
131C2×C22⋊C4×C53D411yescharacteristic
132C2×C42×C53C2311yescharacteristic
133C2×C42×C53C2311yescharacteristic
134#95×C53—21no—
135#95×C53—21no—
136#95×C53D411yescharacteristic
137#95×C53D411yescharacteristic
138C24×C53—21no—
139C24×C53C2×D411yescharacteristic
140#41×C53—28no—
141#41×C53—44no—
142#41×C53—44no—
143#41×C53—44no—
144C2×Q8×C53—21no—
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#4112yes—
156C2×D4×C53—21no—
157C2×D4×C53—21no—
158C2×D4×C53—21no—
159C2×D4×C53—21no—
160C2×D4×C53—21no—
161C2×D4×C53—42no—
162C2×D4×C53—42no—
163C2×D4×C53—42no—
164C2×D4×C53#4112yes—
165C22×C4×C53—21no—
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—42no—
173C22×C4×C53—42no—
174C22×C4×C53—42no—
175C22×C4×C53C2×D411yescharacteristic
176C22×C4×C53C2×D411yescharacteristic
177C22×C4×C53C2×D411yescharacteristic
178C22×C4×C53C2×D411yescharacteristic
179C22×C4×C53C2×D412yes—
180C22×C4×C53C2×D411yescharacteristic
181C22×C4×C53#4112yes—
182C22×C4×C53C2411yescharacteristic
183C22×Dic53—21no—
184C22×Dic53—21no—
185C22×Dic53—24no—
186C22×Dic53—21no—
187C22×Dic53—21no—
188C22×Dic53—81no—
189C22×Dic53—81no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—21no—
192C4⋊C4×C53—42no—
193C4⋊C4×C53—42no—
194C4⋊C4×C53—42no—
195C22⋊C4×C53—22no—
196C22⋊C4×C53—41no—
197C22⋊C4×C53—42no—
198C22⋊C4×C53—42no—
199C22⋊C4×C53—42no—
200C22⋊C4×C53—42no—
201C22⋊C4×C53—42no—
202C42×C53—21no—
203C42×C53—21no—
204C42×C53—21no—
205C42×C53—21no—
206C22⋊Dic53—42no—
207C4⋊Dic53—24no—
208C4⋊Dic53—21no—
209C4⋊Dic53—21no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53—21no—
214C4⋊Dic53C2×D412yes—
215C4⋊Dic53C2×D412yes—
216#11719919—81no—
217#11719919—81no—
218C4×Dic53—81no—
219C4×Dic53—81no—
220#11719917—44no—
221C2×#88322—21no—
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—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53—22no—
240C23×C53—41no—
241C23×C53—41no—
242C23×C53—41no—
243C23×C53—41no—
244C23×C53—41no—
245C23×C53—41no—
246C23×C53#12112yes—
247C23×C53C22×D411yescharacteristic
248Q8×C53—22no—
249Q8×C53—22no—
250Q8×C53—41no—
251Q8×C53—41no—
252Q8×C53—41no—
253Q8×C53—41no—
254Q8×C53—41no—
255Q8×C53—41no—
256D4×C53—22no—
257D4×C53—22no—
258D4×C53—48no—
259D4×C53—41no—
260D4×C53—41no—
261C2×C4×C53—21no—
262C2×C4×C53—21no—
263C2×C4×C53—21no—
264C2×C4×C53—21no—
265C2×C4×C53—22no—
266C2×C4×C53—22no—
267C2×C4×C53—22no—
268C2×C4×C53—22no—
269C2×C4×C53—22no—
270C2×C4×C53—21no—
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—48no—
280C2×C4×C53—41no—
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#12112yes—
289C2×C4×C53#13712yes—
290C2×C4×C53C22×D411yescharacteristic
291C2×C4×C53C2×#4111yescharacteristic
292C2×C4×C53C2×#4111yescharacteristic
293C2×C4×C53C2×#4111yescharacteristic
294C2×C4×C53H(5,𝔽2)11yescharacteristic
295C2×C4×C53H(5,𝔽2)11yescharacteristic
296C2×Dic53—22no—
297C2×Dic53—22no—
298C2×Dic53—41no—
299C2×Dic53—41no—
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—84no—
309#88322—41no—
310#88322—41no—
311#88322—41no—
312#88322—41no—
313#24491—531nomaximal, Sylow
314C22×C53—22no—
315C22×C53—22no—
316C22×C53—22no—
317C22×C53—41no—
318C22×C53—41no—
319C22×C53—41no—
320C22×C53—41no—
321C22×C53—42no—
322C22×C53—42no—
323C22×C53—42no—
324C22×C53—81no—
325C22×C53—81no—
326C22×C53—81no—
327C22×C53—81no—
328C22×C53C2×#12111yescharacteristic
329C22×C53#54611yescharacteristic
330C22×C53#54611yescharacteristic
331C22×C53C2×#13711yescharacteristic
332C22×C53#57511yescharacteristic
333C22×C53#57711yescharacteristic
334C22×C53#57711yescharacteristic
335C4×C53—22no—
336C4×C53—22no—
337C4×C53—41no—
338C4×C53—42no—
339C4×C53—41no—
340C4×C53—41no—
341C4×C53—81no—
342C4×C53—81no—
343C4×C53#52511yescharacteristic
344C4×C53#53511yescharacteristic
345C4×C53#55111yescharacteristic
346C4×C53#55111yescharacteristic
347Dic53—42no—
348Dic53—42no—
349Dic53—81no—
350Dic53—81no—
351C2×#483—531no—
352C2×#417—531no—
353#2432D5311yescharacteristic
354#2345—531no—
355#2066—531no—
356#2065—531no—
357#2043—531no—
358#2042—531no—
359#1983—531no—
360#1981—531no—
361#1927—531no—
362#1926—531no—
363#1894—531no—
364#1851—531no—
365#1788—531no—
366C2×C53—42no—
367C2×C53—82no—
368C2×C53#241111yescharacteristic
369C2×C53#303711yescharacteristic
370C2×C53#304211yescharacteristic
371C2×C53#330711yescharacteristic
372C2×C53#331611yescharacteristic
373C2×C53#332611yescharacteristic
374C2×C53#333111yescharacteristic
375C22×#41C2×D5311yescharacteristic
376C22×M16—531no—
377C2×C4⋊Q8C2×D5311yescharacteristic
378C2×#124C2×D5311yescharacteristic
379C2×C22⋊Q8C2×D5311yescharacteristic
380C22×C4⋊C4—531no—
381#483—1064no—
382C2×#106—531no—
383C2×#106—531no—
384C2×C4⋊C8—531no—
385C2×C4⋊C8—531no—
386#417—1064no—
387C2×#103—531no—
388C2×#103—531no—
389C2×#103—531no—
390C2×#103—531no—
391C2×#103—531no—
392C2×#103—531no—
393C2×#103—531no—
394C2×#103—531no—
395C2×#102—531no—
396C2×#102—531no—
397C2×#102—531no—
398C2×#102—531no—
399C2×C22⋊C8—531no—
400#394—21no—
401#394—21no—
402#391C2×D5311yescharacteristic
403#390C2×D5311yescharacteristic
404#389—531no—
405#389—531no—
406#387—1061no—
407#387—1061no—
408#385—21no—
409#385—21no—
410#380—531no—
411#380—1061no—
412C4×C4⋊C4—531no—
413C4×C4⋊C4—531no—
414C4×C22⋊C4—1061no—
415C4×C22⋊C4C2×D5311yescharacteristic
416#340—531no—
417#340—531no—
418#336—531no—
419#336—531no—
420C53#2449111yescharacteristic, complemented, Sylow
421C2×#41—22no—
422C2×#41—22no—
423C2×#41—22no—
424C2×#41—22no—
425C2×#41—41no—
426C2×#41—41no—
427C22×Q8C22×D5311yescharacteristic
428C22×Q8C22×D5311yescharacteristic
429C22×D4—21no—
430C22×D4C22×D5311yescharacteristic
431C23×C4—21no—
432C23×C4—1061no—
433C23×C4C22×D5311yescharacteristic
434C2×M16—1062no—
435C2×M16—2121no—
436C2×M16—2121no—
437C22×C8—531no—
438C22×C8—531no—
439C22×C8—531no—
440C22×C8—531no—
441C4⋊Q8—22no—
442C4⋊Q8—41no—
443#124—22no—
444#124—41no—
445C22⋊Q8—22no—
446C22⋊Q8—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—534no—
451C2×C4⋊C4—531no—
452C2×C4⋊C4—531no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—1062no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4C22×D5311yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4C22⋊D5311yescharacteristic
467C2×C22⋊C4C22⋊D5311yescharacteristic
468C2×C42—1061no—
469C2×C42—1061no—
470C2×C42C22×D5311yescharacteristic
471C2×C42C22×D5311yescharacteristic
472#106—1062no—
473#106—1062no—
474C4⋊C8—2121no—
475C4⋊C8—2121no—
476#103—1062no—
477#103—1062no—
478#103—1062no—
479#103—1062no—
480#103—1062no—
481#103—2121no—
482#103—2121no—
483#103—2121no—
484#102—1062no—
485#102—1062no—
486#102—1062no—
487#102—2121no—
488C22⋊C8—1062no—
489#95—21no—
490#95—21no—
491#95—1061no—
492#95—1061no—
493#95—1061no—
494#95—1061no—
495#95—1061no—
496#95C22⋊D5311yescharacteristic
497#95C22⋊D5311yescharacteristic
498C24—21no—
499C24C2×C22⋊D5311yescharacteristic
500#41—28no—
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—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8#1171994712yes—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—42no—
522C2×D4—42no—
523C2×D4—42no—
524C2×D4#1171994712yes—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—1064no—
536C22×C4—1061no—
537C22×C4—1061no—
538C22×C4—1061no—
539C22×C4—1061no—
540C22×C4—4241no—
541C22×C4—4241no—
542C22×C4D4×D5312yes—
543C22×C4#1171994712yes—
544C22×C4C2×C22⋊D5311yescharacteristic
545C22×C4C2×C22⋊D5311yescharacteristic
546C22×C4C2×C22⋊D5311yescharacteristic
547C22×C4C2×C22⋊D5311yescharacteristic
548C22×C4C2×C22⋊D5311yescharacteristic
549C22×C4C23×D5311yescharacteristic
550M16—2124no—
551C2×C8—1061no—
552C2×C8—1061no—
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—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4—42no—
568C4⋊C4—532no—
569C4⋊C4—532no—
570C4⋊C4—1064no—
571C4⋊C4—1061no—
572C4⋊C4—1061no—
573C4⋊C4—1061no—
574C4⋊C4—1061no—
575C4⋊C4—1061no—
576C4⋊C4—1061no—
577C4⋊C4—4241no—
578C4⋊C4—4241no—
579C22⋊C4—22no—
580C22⋊C4—41no—
581C22⋊C4—42no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—2122no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—4241no—
592C42—4241no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23#1313318812yes—
607C23C22×C22⋊D5311yescharacteristic
608Q8—22no—
609Q8—22no—
610Q8—41no—
611Q8—41no—
612Q8—41no—
613Q8—41no—
614Q8—41no—
615Q8—41no—
616D4—22no—
617D4—22no—
618D4—48no—
619D4—41no—
620D4—41no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—48no—
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—1062no—
649C2×C4—1062no—
650C2×C4—4244no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4—2121no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4—2121no—
657C2×C4—2121no—
658C2×C4—2121no—
659C2×C4—2121no—
660C2×C4—2121no—
661C2×C4#1313318812yes—
662C2×C4#1313324712yes—
663C2×C4C2×D4×D5311yescharacteristic
664C2×C4C2×#1171994711yescharacteristic
665C2×C4C2×#1171994711yescharacteristic
666C2×C4C2×#1171994711yescharacteristic
667C2×C4#1313326211yescharacteristic
668C2×C4#1313326211yescharacteristic
669C8—2121no—
670C8—2121no—
671C8—2121no—
672C8—2121no—
673C22—22no—
674C22—22no—
675C22—22no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—42no—
681C22—42no—
682C22—42no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22C2×#1313318811yescharacteristic
688C22#1681126711yescharacteristic
689C22#1681126711yescharacteristic
690C22C2×#1313324711yescharacteristic
691C22#1681142111yescharacteristic
692C22#1681143111yescharacteristic
693C22#1681143111yescharacteristic
694C4—22no—
695C4—22no—
696C4—41no—
697C4—42no—
698C4—41no—
699C4—41no—
700C4—81no—
701C4—81no—
702C4—4241no—
703C4—4241no—
704C4—2122no—
705C4—2122no—
706C4#1681112911yescharacteristic
707C4#1681118811yescharacteristic
708C4#1681130411yescharacteristic
709C4#1681130411yescharacteristic
710C2—42no—
711C2—82no—
712C2#2027809611yescharacteristic
713C2#2028418311yescharacteristic
714C2#2028422311yescharacteristic
715C2#2028669111yescharacteristic
716C2#2028682611yescharacteristic
717C2#2028696811yescharacteristic
718C2#2028703111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2432C2
socleC23×C53C22×D4
prime radicalC22×#41×C53C22
hypercenter#2432D53
hypocenterC53#24491
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×#16810951C2semidirect
3. #20277590C2semidirect
4. #20276096C2semidirect
5. #20276089C2semidirect
6. #20275958C2semidirect
7. #20275951C2semidirect
8. #20275648C2semidirect
9. #20275639C2semidirect
10. #20275346C2semidirect
11. #20275339C2semidirect
12. #20275149C2semidirect
13. #20274900C2semidirect
420. C53#24491semidirect

Maximal subgroups

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

subgroupindex
C2×#168109512
C2×#168106242
#202775902
#202760962
#202760892
#202759582
#202759512
#202756482
#202756392
#202753462
#202753392
#202751492
#202749002
#202746552
C53×#24322
#2449153