Finite Group Databasebeta

← #27465253

Subgroups — #27465253

Order 13568.

980 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20277098C211yesmaximal, characteristic
2#20276152C211yesmaximal, characteristic, complemented
3#20276151C211yesmaximal, characteristic, complemented
4#20276146C211yesmaximal, characteristic, complemented
5#20276141C211yesmaximal, characteristic, complemented
6#20274914C211yesmaximal, characteristic, complemented
7#20274914C211yesmaximal, characteristic, complemented
8#20274912C211yesmaximal, characteristic, complemented
9#20274912C211yesmaximal, characteristic, complemented
10#20274810C211yesmaximal, characteristic, complemented
11#20274810C211yesmaximal, characteristic, complemented
12#20274807C211yesmaximal, characteristic, complemented
13#20274807C211yesmaximal, characteristic, complemented
14#20274625C211yesmaximal, characteristic
15C53×#2280C211yesmaximal, characteristic
16C2×#13133176C2211yescharacteristic
17C2×#13133176C2211yescharacteristic
18C2×#13133150C2211yescharacteristic, complemented
19C2×#13133150C2211yescharacteristic, complemented
20C2×#13133148C2211yescharacteristic, complemented
21C2×#13133148C2211yescharacteristic, complemented
22C2×C22⋊#88322C2211yescharacteristic
23C2×C22⋊#88322C2211yescharacteristic
24C2×C22⋊#88322C2211yescharacteristic
25C2×C22⋊#88322C2211yescharacteristic
26C2×C22⋊#88322C2211yescharacteristic
27C2×C22⋊#88322C2211yescharacteristic
28#16810486—21no—
29#16810483C2211yescharacteristic
30#16810483C2211yescharacteristic
31#16810483C2211yescharacteristic
32#16810483C2211yescharacteristic
33#16810479—21no—
34C4×C22⋊Dic53—21no—
35C4×C22⋊Dic53—21no—
36#16810385C2211yescharacteristic, complemented
37#16810385C2211yescharacteristic, complemented
38#16810385C2211yescharacteristic, complemented
39#16810385C2211yescharacteristic, complemented
40#16810385C2211yescharacteristic, complemented
41#16810385C2211yescharacteristic, complemented
42#16810385C2211yescharacteristic, complemented
43#16810385C2211yescharacteristic, complemented
44#16810385C2211yescharacteristic, complemented
45#16810385C2211yescharacteristic, complemented
46#16810385C2211yescharacteristic, complemented
47#16810385C2211yescharacteristic, complemented
48C24×C4×C53C2211yescharacteristic
49C2×#117×C53C2211yescharacteristic
50C2×#117×C53C2211yescharacteristic
51C53×#381—21no—
52C53×#380C2211yescharacteristic
53C53×#380C2211yescharacteristic
54C53×#380C2211yescharacteristic
55C53×#380C2211yescharacteristic
56C53×#379—21no—
57C4×C22⋊C4×C53—21no—
58C4×C22⋊C4×C53—21no—
59C22×#88322C2311yescharacteristic
60C22×#88322C2311yescharacteristic
61C22×#88322C2311yescharacteristic
62C22×#88322C2311yescharacteristic
63#13133176—22no—
64#13133176—22no—
65#13133176—41no—
66#13133176—41no—
67C2×C4⋊Dic53C2311yescharacteristic
68C2×C4⋊Dic53C2311yescharacteristic
69C2×C4⋊Dic53C2311yescharacteristic
70C2×C4⋊Dic53C2311yescharacteristic
71C2×C22⋊Dic53—21no—
72C2×C22⋊Dic53—21no—
73C2×C22⋊Dic53—21no—
74C2×C22⋊Dic53—21no—
75C2×C22⋊Dic53—21no—
76C2×C22⋊Dic53—21no—
77C2×C4×Dic53—21no—
78C2×C4×Dic53—21no—
79#13133150—41no—
80#13133150—41no—
81#13133148—41no—
82#13133148—41no—
83C22⋊#88322—22no—
84C22⋊#88322—22no—
85C22⋊#88322—22no—
86C22⋊#88322—22no—
87C22⋊#88322—41no—
88C22⋊#88322—41no—
89#13133124—21no—
90#13133124—21no—
91#13133124—21no—
92#13133124—21no—
93C25×C53D411yescharacteristic
94C23×C4×C53—22no—
95C23×C4×C53—22no—
96C23×C4×C53—22no—
97C23×C4×C53—22no—
98C23×C4×C53—41no—
99C23×C4×C53—41no—
100C23×C4×C53D411yescharacteristic
101C23×C4×C53D411yescharacteristic
102C23×C4×C53D411yescharacteristic
103C23×C4×C53C2311yescharacteristic
104C23×C4×C53C2311yescharacteristic
105C23×C4×C53C2311yescharacteristic
106#117×C53—22no—
107#117×C53—22no—
108#117×C53—41no—
109#117×C53—41no—
110C2×C4⋊C4×C53C2311yescharacteristic
111C2×C4⋊C4×C53C2311yescharacteristic
112C2×C4⋊C4×C53C2311yescharacteristic
113C2×C4⋊C4×C53C2311yescharacteristic
114C2×C22⋊C4×C53—21no—
115C2×C22⋊C4×C53—21no—
116C2×C22⋊C4×C53—21no—
117C2×C22⋊C4×C53—21no—
118C2×C22⋊C4×C53—21no—
119C2×C22⋊C4×C53—21no—
120C2×C42×C53—21no—
121C2×C42×C53—21no—
122#95×C53—21no—
123#95×C53—21no—
124#95×C53—21no—
125#95×C53—21no—
126C24×C53—22no—
127C24×C53—22no—
128C24×C53—22no—
129C24×C53—41no—
130C24×C53—41no—
131C24×C53—41no—
132C24×C53—41no—
133C24×C53C2×D411yescharacteristic
134C24×C53C2×D411yescharacteristic
135C24×C53C2×D411yescharacteristic
136C22×C4×C53—21no—
137C22×C4×C53—21no—
138C22×C4×C53—21no—
139C22×C4×C53—21no—
140C22×C4×C53—21no—
141C22×C4×C53—21no—
142C22×C4×C53—21no—
143C22×C4×C53—21no—
144C22×C4×C53—22no—
145C22×C4×C53—22no—
146C22×C4×C53—22no—
147C22×C4×C53—22no—
148C22×C4×C53—22no—
149C22×C4×C53—22no—
150C22×C4×C53—21no—
151C22×C4×C53—21no—
152C22×C4×C53—21no—
153C22×C4×C53—21no—
154C22×C4×C53—21no—
155C22×C4×C53—21no—
156C22×C4×C53—21no—
157C22×C4×C53—21no—
158C22×C4×C53—21no—
159C22×C4×C53—21no—
160C22×C4×C53—41no—
161C22×C4×C53—41no—
162C22×C4×C53—41no—
163C22×C4×C53—44no—
164C22×C4×C53—44no—
165C22×C4×C53—44no—
166C22×C4×C53—44no—
167C22×C4×C53C2×D411yescharacteristic
168C22×C4×C53C2×D411yescharacteristic
169C22×C4×C53C2×D411yescharacteristic
170C22×C4×C53#4112yes—
171C22×C4×C53#4112yes—
172C22×C4×C53#4112yes—
173C22×C4×C53#4112yes—
174C22×C4×C53C2411yescharacteristic
175C22×Dic53—21no—
176C22×Dic53—21no—
177C22×Dic53—21no—
178C22×Dic53—21no—
179C4⋊C4×C53—21no—
180C4⋊C4×C53—21no—
181C4⋊C4×C53—21no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—21no—
187C22⋊C4×C53—42no—
188C22⋊C4×C53—42no—
189C22⋊C4×C53—42no—
190C22⋊C4×C53—42no—
191C22⋊C4×C53—42no—
192C22⋊C4×C53—42no—
193C42×C53—42no—
194C42×C53—42no—
195C22⋊Dic53—42no—
196C22⋊Dic53—42no—
197C22⋊Dic53—42no—
198C22⋊Dic53—42no—
199C22⋊Dic53—42no—
200C22⋊Dic53—42no—
201C4⋊Dic53—21no—
202C4⋊Dic53—21no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—21no—
209C4×Dic53—42no—
210C4×Dic53—42no—
211C2×#88322—21no—
212C2×#88322—21no—
213C2×#88322—21no—
214C2×#88322—21no—
215C2×#88322—21no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—21no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322—21no—
223C23×C53—21no—
224C23×C53—21no—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53—21no—
239C23×C53—21no—
240C23×C53—21no—
241C23×C53—44no—
242C23×C53—44no—
243C23×C53—44no—
244C23×C53—44no—
245C23×C53—44no—
246C23×C53—44no—
247C23×C53—44no—
248C23×C53#12312yes—
249C23×C53#12312yes—
250C23×C53#13512yes—
251C23×C53C22×D411yescharacteristic
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—21no—
256C2×C4×C53—22no—
257C2×C4×C53—22no—
258C2×C4×C53—22no—
259C2×C4×C53—22no—
260C2×C4×C53—22no—
261C2×C4×C53—22no—
262C2×C4×C53—22no—
263C2×C4×C53—22no—
264C2×C4×C53—21no—
265C2×C4×C53—21no—
266C2×C4×C53—21no—
267C2×C4×C53—44no—
268C2×C4×C53—44no—
269C2×C4×C53—44no—
270C2×C4×C53—41no—
271C2×C4×C53—41no—
272C2×C4×C53—41no—
273C2×C4×C53—41no—
274C2×C4×C53—41no—
275C2×C4×C53—41no—
276C2×C4×C53—41no—
277C2×C4×C53—41no—
278C2×C4×C53—41no—
279C2×C4×C53—41no—
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#12312yes—
287C2×C4×C53#12312yes—
288C2×C4×C53C2×#4111yescharacteristic
289C2×C4×C53C2×#4111yescharacteristic
290C2×C4×C53C2×#4111yescharacteristic
291C2×C4×C53C2×#4111yescharacteristic
292C2×C4×C53H(5,𝔽2)11yescharacteristic
293C2×C4×C53H(5,𝔽2)11yescharacteristic
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299C2×Dic53—41no—
300C2×Dic53—41no—
301C2×Dic53—41no—
302C2×Dic53—41no—
303C2×Dic53—41no—
304C2×Dic53—41no—
305C2×Dic53—41no—
306#88322—41no—
307#88322—41no—
308#88322—41no—
309#88322—41no—
310#27605—531nomaximal, Sylow
311C22×C53—22no—
312C22×C53—22no—
313C22×C53—22no—
314C22×C53—22no—
315C22×C53—22no—
316C22×C53—22no—
317C22×C53—22no—
318C22×C53—22no—
319C22×C53—22no—
320C22×C53—416no—
321C22×C53—41no—
322C22×C53—41no—
323C22×C53—41no—
324C22×C53—41no—
325C22×C53—41no—
326C22×C53—41no—
327C22×C53—41no—
328C22×C53—41no—
329C22×C53—41no—
330C22×C53—41no—
331C22×C53—41no—
332C22×C53—41no—
333C22×C53C2×#12311yescharacteristic
334C22×C53C2×#12311yescharacteristic
335C22×C53#53411yescharacteristic
336C22×C53C2×#13511yescharacteristic
337C22×C53#57511yescharacteristic
338C22×C53#57511yescharacteristic
339C22×C53#57511yescharacteristic
340C4×C53—22no—
341C4×C53—22no—
342C4×C53—41no—
343C4×C53—81no—
344C4×C53—81no—
345C4×C53—81no—
346C4×C53—81no—
347C4×C53#55111yescharacteristic
348C4×C53#55111yescharacteristic
349C4×C53#55111yescharacteristic
350C4×C53#55111yescharacteristic
351Dic53—81no—
352Dic53—81no—
353Dic53—81no—
354Dic53—81no—
355#2280—531no—
356#2280D5311yescharacteristic
357#2077—531no—
358#2077—531no—
359#2076—531no—
360#2075—531no—
361#1854—531no—
362#1854—531no—
363#1854—531no—
364#1854—531no—
365#1825—531no—
366#1825—531no—
367#1825—531no—
368#1825—531no—
369#1779—531no—
370C2×C53—42no—
371C2×C53—42no—
372C2×C53—42no—
373C2×C53#248311yescharacteristic
374C2×C53#309111yescharacteristic
375C2×C53#309111yescharacteristic
376C2×C53#309311yescharacteristic
377C2×C53#309311yescharacteristic
378C2×C53#319111yescharacteristic
379C2×C53#319711yescharacteristic
380C24×C4C2×D5311yescharacteristic
381C2×#117—531no—
382C2×#117—531no—
383C2×#117C2×D5311yescharacteristic
384C2×#117C2×D5311yescharacteristic
385C2×#107—531no—
386C2×#107—531no—
387C2×#106—531no—
388C2×#106—531no—
389C2×C22⋊C8—531no—
390C2×C22⋊C8—531no—
391C2×C22⋊C8—531no—
392C2×C22⋊C8—531no—
393C2×C22⋊C8—531no—
394C2×C22⋊C8—531no—
395#381—21no—
396#381—1061no—
397#380—531no—
398#380—531no—
399#380—531no—
400#380—531no—
401#380C2×D5311yescharacteristic
402#380C2×D5311yescharacteristic
403#380C2×D5311yescharacteristic
404#380C2×D5311yescharacteristic
405#379—21no—
406#379—1061no—
407C4×C22⋊C4—21no—
408C4×C22⋊C4—21no—
409C4×C22⋊C4—1061no—
410C4×C22⋊C4—1061no—
411#340—531no—
412#340—531no—
413#340—531no—
414#340—531no—
415#340—531no—
416#340—531no—
417#340—531no—
418#340—531no—
419#340—531no—
420#340—531no—
421#340—531no—
422#340—531no—
423C53#2760511yescharacteristic, complemented, Sylow
424C25C22⋊D5311yescharacteristic
425C23×C4—22no—
426C23×C4—22no—
427C23×C4—22no—
428C23×C4—22no—
429C23×C4—41no—
430C23×C4—41no—
431C23×C4C22⋊D5311yescharacteristic
432C23×C4C22⋊D5311yescharacteristic
433C23×C4C22⋊D5311yescharacteristic
434C23×C4C22×D5311yescharacteristic
435C23×C4C22×D5311yescharacteristic
436C23×C4C22×D5311yescharacteristic
437C22×C8—531no—
438C22×C8—531no—
439C22×C8—531no—
440C22×C8—531no—
441#117—22no—
442#117—22no—
443#117—41no—
444#117—41no—
445#117—1062no—
446#117—1062no—
447#117—2121no—
448#117—2121no—
449C2×C4⋊C4—531no—
450C2×C4⋊C4—531no—
451C2×C4⋊C4—531no—
452C2×C4⋊C4—531no—
453C2×C4⋊C4C22×D5311yescharacteristic
454C2×C4⋊C4C22×D5311yescharacteristic
455C2×C4⋊C4C22×D5311yescharacteristic
456C2×C4⋊C4C22×D5311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—21no—
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—1061no—
464C2×C22⋊C4—1061no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4—1061no—
467C2×C22⋊C4—1061no—
468C2×C22⋊C4—1061no—
469C2×C42—21no—
470C2×C42—21no—
471C2×C42—1061no—
472C2×C42—1061no—
473#107—2121no—
474#107—2121no—
475#106—2121no—
476#106—2121no—
477C22⋊C8—1062no—
478C22⋊C8—1062no—
479C22⋊C8—1062no—
480C22⋊C8—1062no—
481C22⋊C8—2121no—
482C22⋊C8—2121no—
483#95—21no—
484#95—21no—
485#95—21no—
486#95—21no—
487#95—1061no—
488#95—1061no—
489#95—1061no—
490#95—1061no—
491C24—22no—
492C24—22no—
493C24—22no—
494C24—41no—
495C24—41no—
496C24—41no—
497C24—41no—
498C24C2×C22⋊D5311yescharacteristic
499C24C2×C22⋊D5311yescharacteristic
500C24C2×C22⋊D5311yescharacteristic
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—1061no—
533C22×C4—1061no—
534C22×C4—1061no—
535C22×C4—1061no—
536C22×C4#1171994512yes—
537C22×C4#1171994512yes—
538C22×C4#1171994712yes—
539C22×C4#1171994712yes—
540C22×C4C2×C22⋊D5311yescharacteristic
541C22×C4C2×C22⋊D5311yescharacteristic
542C22×C4C2×C22⋊D5311yescharacteristic
543C22×C4C23×D5311yescharacteristic
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1061no—
551C2×C8—1061no—
552C2×C8—1061no—
553C2×C8—1061no—
554C2×C8—1061no—
555C2×C8—1061no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—1061no—
565C4⋊C4—1061no—
566C4⋊C4—1061no—
567C4⋊C4—1061no—
568C4⋊C4—1061no—
569C4⋊C4—1061no—
570C4⋊C4—1061no—
571C4⋊C4—1061no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—2122no—
579C22⋊C4—2122no—
580C22⋊C4—2122no—
581C22⋊C4—2122no—
582C22⋊C4—2122no—
583C22⋊C4—2122no—
584C42—42no—
585C42—42no—
586C42—2122no—
587C42—2122no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23#1313319812yes—
614C23#1313320012yes—
615C23#1313323712yes—
616C23C22×C22⋊D5311yescharacteristic
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—44no—
633C2×C4—44no—
634C2×C4—44no—
635C2×C4—41no—
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—41no—
649C2×C4—41no—
650C2×C4—41no—
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—2121no—
662C2×C4—2121no—
663C2×C4#1313319812yes—
664C2×C4#1313320012yes—
665C2×C4C2×#1171994711yescharacteristic
666C2×C4C2×#1171994711yescharacteristic
667C2×C4C2×#1171994511yescharacteristic
668C2×C4C2×#1171994511yescharacteristic
669C2×C4#1313326211yescharacteristic
670C2×C4#1313326211yescharacteristic
671C8—2121no—
672C8—2121no—
673C8—2121no—
674C8—2121no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—22no—
682C22—22no—
683C22—22no—
684C22—416no—
685C22—41no—
686C22—41no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—41no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—41no—
697C22C2×#1313319811yescharacteristic
698C22C2×#1313320011yescharacteristic
699C22#1681118211yescharacteristic
700C22C2×#1313323711yescharacteristic
701C22#1681142111yescharacteristic
702C22#1681142111yescharacteristic
703C22#1681142111yescharacteristic
704C4—22no—
705C4—22no—
706C4—41no—
707C4—81no—
708C4—81no—
709C4—81no—
710C4—81no—
711C4—4241no—
712C4—4241no—
713C4—4241no—
714C4—4241no—
715C4#1681129911yescharacteristic
716C4#1681129911yescharacteristic
717C4#1681129911yescharacteristic
718C4#1681129911yescharacteristic
719C2—42no—
720C2—42no—
721C2—42no—
722C2#2027899311yescharacteristic
723C2#2028462411yescharacteristic
724C2#2028462811yescharacteristic
725C2#2028464411yescharacteristic
726C2#2028464611yescharacteristic
727C2#2028550311yescharacteristic
728C2#2028555211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2280C2
socleC23×C53C22×D4
prime radicalC25×C53D4
hypercenter#2280D53
hypocenterC53#27605
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C24×C4 ◁ #2280

Complements

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

NH ≅ G/Ntype
2. #20276152C2semidirect
3. #20276151C2semidirect
4. #20276146C2semidirect
5. #20276141C2semidirect
6. #20274914C2semidirect
7. #20274914C2semidirect
8. #20274912C2semidirect
9. #20274912C2semidirect
10. #20274810C2semidirect
11. #20274810C2semidirect
12. #20274807C2semidirect
13. #20274807C2semidirect
18. C2×#13133150C22semidirect
19. C2×#13133150C22semidirect
20. C2×#13133148C22semidirect
21. C2×#13133148C22semidirect
36. #16810385C22semidirect
37. #16810385C22semidirect
38. #16810385C22semidirect
39. #16810385C22semidirect
40. #16810385C22semidirect
41. #16810385C22semidirect
42. #16810385C22semidirect
43. #16810385C22semidirect
44. #16810385C22semidirect
45. #16810385C22semidirect
46. #16810385C22semidirect
47. #16810385C22semidirect
423. C53#27605semidirect

Maximal subgroups

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

subgroupindex
#202770982
#202761522
#202761512
#202761462
#202761412
#202749142
#202749122
#202748102
#202748072
#202746252
C53×#22802
#2760553