Finite Group Databasebeta

← #27403565

Subgroups — #27403565

Order 13568.

740 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20283381C211yesmaximal, characteristic, complemented
2#20283283C211yesmaximal, characteristic, complemented
3#20275428C211yesmaximal, characteristic, complemented
4#20275421C211yesmaximal, characteristic, complemented
5#20275316C211yesmaximal, characteristic, complemented
6#20275316C211yesmaximal, characteristic, complemented
7#20275044C211yesmaximal, characteristic
8#20275044C211yesmaximal, characteristic
9#20274856C211yesmaximal, characteristic, complemented
10#20274735C211yesmaximal, characteristic, complemented
11#20274735C211yesmaximal, characteristic, complemented
12#20274587C211yesmaximal, characteristic, complemented
13#20274562C211yesmaximal, characteristic, complemented
14#20274555C211yesmaximal, characteristic, complemented
15C53×#2943C211yesmaximal, characteristic
16C2×#13133224C2211yescharacteristic
17C2×#13133224C2211yescharacteristic
18#16810684—21no—
19#16810684—21no—
20#16810680—21no—
21#16810676—21no—
22#16810650—21no—
23#16810650—21no—
24#16810650C2211yescharacteristic
25#16810650C2211yescharacteristic
26#16810647—21no—
27#16810647C2211yescharacteristic
28#16810647C2211yescharacteristic
29C2×C4⋊#88322—21no—
30C2×C4⋊#88322C2211yescharacteristic
31C2×#13133144C2211yescharacteristic
32C2×#13133144C2211yescharacteristic
33C2×#13133144C2211yescharacteristic
34C2×#13133144C2211yescharacteristic
35#16810590C2211yescharacteristic
36#16810590C2211yescharacteristic
37#16810579C2211yescharacteristic
38#16810579C2211yescharacteristic
39C2×#13133127C2211yescharacteristic
40C2×C8×Dic53C2211yescharacteristic
41C4×C4⋊Dic53C2211yescharacteristic
42#16810388C2211yescharacteristic
43#16810388C2211yescharacteristic
44#16810388C2211yescharacteristic
45#16810388C2211yescharacteristic
46#16810382C2211yescharacteristic
47#16810382C2211yescharacteristic
48#16810382C2211yescharacteristic
49#16810382C2211yescharacteristic
50#16810377C2211yescharacteristic
51#16810377C2211yescharacteristic
52C2×#135×C53C2211yescharacteristic
53C4×#41×C53C2211yescharacteristic
54C4×#41×C53C2211yescharacteristic
55C53×#442C411yescharacteristic, complemented
56C53×#442C411yescharacteristic, complemented
57C53×#441C411yescharacteristic, complemented
58C53×#441C411yescharacteristic, complemented
59C53×#440C411yescharacteristic, complemented
60C53×#440C411yescharacteristic, complemented
61C53×#440C411yescharacteristic, complemented
62C53×#440C411yescharacteristic, complemented
63C53×#427C2211yescharacteristic
64C53×#416C2211yescharacteristic
65C53×#416C2211yescharacteristic
66C2×#97×C53C2211yescharacteristic
67#13133224—22no—
68#13133224—22no—
69#13133224—41no—
70#13133224—41no—
71C2×#11719917—21no—
72C2×#11719917—21no—
73C2×#11719917C2311yescharacteristic
74C2×#11719917C2311yescharacteristic
75C2×#11719917C2311yescharacteristic
76C2×#11719917C2311yescharacteristic
77C22×#88322—21no—
78C22×#88322—21no—
79C22×#88322C2311yescharacteristic
80C22×#88322C2311yescharacteristic
81C2×C4⋊Dic53—21no—
82C2×C4×Dic53C2311yescharacteristic
83C2×C4×Dic53C2311yescharacteristic
84C4⋊#88322—21no—
85C4⋊#88322—21no—
86C4⋊#88322—21no—
87C4⋊#88322—21no—
88C4⋊#88322—21no—
89C4⋊#88322—21no—
90C4⋊#88322—21no—
91C4⋊#88322—21no—
92C4⋊#88322D411yescharacteristic
93C4⋊#88322D411yescharacteristic
94C4⋊#88322D411yescharacteristic
95C4⋊#88322D411yescharacteristic
96#13133144—22no—
97#13133144—22no—
98#13133144—41no—
99#13133144—41no—
100C22⋊#88322—21no—
101C22⋊#88322—21no—
102C22⋊#88322—21no—
103C22⋊#88322—21no—
104#13133128—21no—
105#13133128—21no—
106#13133127—41no—
107C4×#88322—21no—
108C4×#88322—21no—
109C8×Dic53—41no—
110#13133124—21no—
111C2×#41×C53C2311yescharacteristic
112C2×#41×C53C2311yescharacteristic
113#135×C53—22no—
114#135×C53—22no—
115C2×Q16×C53C2×C411yescharacteristic
116C2×SD16×C53C2×C411yescharacteristic
117C2×SD16×C53C2×C411yescharacteristic
118C2×D8×C53C2×C411yescharacteristic
119C22×C8×C53C2311yescharacteristic
120C22×C8×C53C2311yescharacteristic
121C4×Q8×C53C2×C411yescharacteristic
122C4×Q8×C53C2×C411yescharacteristic
123C4×Q8×C53C2×C411yescharacteristic
124C4×Q8×C53C2×C411yescharacteristic
125C4×D4×C53—21no—
126C4×D4×C53—21no—
127C4×D4×C53—21no—
128C4×D4×C53—21no—
129C4×D4×C53C2×C411yescharacteristic
130C4×D4×C53C2×C411yescharacteristic
131C4×D4×C53C2×C411yescharacteristic
132C4×D4×C53C2×C411yescharacteristic
133#117×C53—21no—
134#117×C53—21no—
135#117×C53C2311yescharacteristic
136#117×C53C2311yescharacteristic
137C2×C42×C53—21no—
138C2×C42×C53—21no—
139C2×C42×C53C2311yescharacteristic
140#107×C53C2×C411yescharacteristic
141#107×C53C2×C411yescharacteristic
142#106×C53C2×C411yescharacteristic
143#106×C53C2×C411yescharacteristic
144#103×C53C2×C411yescharacteristic
145#103×C53C2×C411yescharacteristic
146#103×C53C2×C411yescharacteristic
147#103×C53C2×C411yescharacteristic
148#102×C53C2×C411yescharacteristic
149#102×C53C2×C411yescharacteristic
150#102×C53C2×C411yescharacteristic
151#102×C53C2×C411yescharacteristic
152#97×C53C2×C411yescharacteristic
153#97×C53C2×C411yescharacteristic
154#97×C53C2×C411yescharacteristic
155#97×C53C2×C411yescharacteristic
156#41×C53—21no—
157#41×C53—21no—
158#41×C53—21no—
159#41×C53—21no—
160#41×C53—21no—
161#41×C53—21no—
162#41×C53#4112yes—
163#41×C53#4112yes—
164C2×Q8×C53C22×C411yescharacteristic
165C2×Q8×C53C22×C411yescharacteristic
166C2×D4×C53—21no—
167C2×D4×C53—21no—
168C2×D4×C53C22×C411yescharacteristic
169C2×D4×C53C22×C411yescharacteristic
170C22×C4×C53—21no—
171C22×C4×C53—21no—
172C22×C4×C53—21no—
173C22×C4×C53—21no—
174C22×C4×C53—21no—
175C22×C4×C53—21no—
176C22×C4×C53#4111yescharacteristic
177C22×C4×C53#4111yescharacteristic
178C22×C4×C53C2411yescharacteristic
179C22×Dic53—21no—
180C22×Dic53—21no—
181Q16×C53—22no—
182SD16×C53—22no—
183SD16×C53—22no—
184D8×C53—22no—
185C2×C8×C53—21no—
186C2×C8×C53—21no—
187C2×C8×C53—21no—
188C2×C8×C53—21no—
189C2×C8×C53C22×C411yescharacteristic
190C2×C8×C53C22×C411yescharacteristic
191C2×C8×C53C22×C411yescharacteristic
192C2×C8×C53C22×C411yescharacteristic
193C4⋊C4×C53—21no—
194C4⋊C4×C53—21no—
195C4⋊C4×C53—21no—
196C4⋊C4×C53—21no—
197C4⋊C4×C53C22×C411yescharacteristic
198C4⋊C4×C53C22×C411yescharacteristic
199C4⋊C4×C53C22×C411yescharacteristic
200C4⋊C4×C53C22×C411yescharacteristic
201C22⋊C4×C53—21no—
202C22⋊C4×C53—21no—
203C22⋊C4×C53—21no—
204C22⋊C4×C53—21no—
205C22⋊C4×C53—21no—
206C22⋊C4×C53—21no—
207C42×C53—21no—
208C42×C53—21no—
209C42×C53—21no—
210C42×C53—21no—
211C42×C53—21no—
212C42×C53—21no—
213C42×C53C22×C411yescharacteristic
214C42×C53C22×C411yescharacteristic
215C42×C53C2×D411yescharacteristic
216C42×C53C2×D411yescharacteristic
217C4⋊Dic53—42no—
218C4×Dic53—21no—
219C4×Dic53—21no—
220C4×Dic53—21no—
221C4×Dic53—21no—
222#11719917—21no—
223#11719917—21no—
224#11719917—21no—
225#11719917—21no—
226#11719917—21no—
227#11719917—21no—
228#11719917—21no—
229#11719917—21no—
230#11719917—42no—
231#11719917—42no—
232C2×#88322—21no—
233C2×#88322—21no—
234C2×#88322—21no—
235C2×#88322—21no—
236C2×#88322—21no—
237C2×#88322—21no—
238C2×#88322—21no—
239C2×#88322—21no—
240C2×#88322—42no—
241C2×#88322—42no—
242C2×#88322C2×D411yescharacteristic
243C2×#88322C2×D411yescharacteristic
244C2×#88322C2×D411yescharacteristic
245C2×#88322C2×D411yescharacteristic
246C23×C53—21no—
247C23×C53—21no—
248C23×C53C2×#4111yescharacteristic
249Q8×C53—21no—
250Q8×C53—21no—
251Q8×C53—21no—
252Q8×C53#11712yes—
253D4×C53—22no—
254D4×C53—22no—
255D4×C53—21no—
256D4×C53—21no—
257D4×C53—21no—
258D4×C53—41no—
259D4×C53—41no—
260D4×C53#11712yes—
261C2×C4×C53—21no—
262C2×C4×C53—22no—
263C2×C4×C53—22no—
264C2×C4×C53—21no—
265C2×C4×C53—21no—
266C2×C4×C53—21no—
267C2×C4×C53—21no—
268C2×C4×C53—21no—
269C2×C4×C53—41no—
270C2×C4×C53—41no—
271C2×C4×C53—42no—
272C2×C4×C53—42no—
273C2×C4×C53—41no—
274C2×C4×C53—41no—
275C2×C4×C53—81no—
276C2×C4×C53—81no—
277C2×C4×C53C4×D411yescharacteristic
278C2×C4×C53C4×D411yescharacteristic
279C2×C4×C53C4×D411yescharacteristic
280C2×C4×C53C4×D411yescharacteristic
281C2×C4×C53C23×C411yescharacteristic
282C2×C4×C53C22×D411yescharacteristic
283C2×C4×C53C2×#4111yescharacteristic
284C2×C4×C53C2×#4111yescharacteristic
285C2×C4×C53H(5,𝔽2)11yescharacteristic
286C2×C4×C532−1+411yescharacteristic
287C2×Dic53—22no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C8×C53—21no—
294C8×C53—21no—
295C8×C53—21no—
296C8×C53—21no—
297#88322—21no—
298#88322—21no—
299#88322—21no—
300#88322—21no—
301#88322—41no—
302#88322—41no—
303#88322—41no—
304#88322—41no—
305#22784—531nomaximal, Sylow
306C22×C53—21no—
307C22×C53—21no—
308C22×C53—22no—
309C22×C53—41no—
310C22×C53—41no—
311C22×C53—41no—
312C22×C53—41no—
313C22×C53—41no—
314C22×C53C2×C4×D411yescharacteristic
315C22×C53#55211yescharacteristic
316C22×C53#55311yescharacteristic
317C4×C53—22no—
318C4×C53—21no—
319C4×C53—21no—
320C4×C53—21no—
321C4×C53—21no—
322C4×C53—41no—
323C4×C53—41no—
324C4×C53—41no—
325C4×C53—41no—
326C4×C53—41no—
327C4×C53C2×#11711yescharacteristic
328C4×C53#52011yescharacteristic
329C4×C53#54611yescharacteristic
330C4×C53#54811yescharacteristic
331Dic53—42no—
332Dic53—81no—
333#2943D5311yescharacteristic
334#2925—531no—
335#2906—531no—
336#1938—531no—
337#1937—531no—
338#1922—531no—
339#1922—531no—
340#1876—531no—
341#1876—531no—
342#1838—531no—
343#1806—531no—
344#1806—531no—
345#1771—531no—
346#1765—531no—
347#1764—531no—
348C2×C53—21no—
349C2×C53—21no—
350C2×C53—42no—
351C2×C53—81no—
352C2×C53#235211yescharacteristic
353C2×C53#295511yescharacteristic
354C2×C53#295611yescharacteristic
355C2×#135C2×D5311yescharacteristic
356C2×#131—531no—
357C2×#131—531no—
358C4×#41C2×D5311yescharacteristic
359C4×#41C2×D5311yescharacteristic
360#442Dic5311yescharacteristic, complemented
361#442Dic5311yescharacteristic, complemented
362#441Dic5311yescharacteristic, complemented
363#441Dic5311yescharacteristic, complemented
364#440Dic5311yescharacteristic, complemented
365#440Dic5311yescharacteristic, complemented
366#440Dic5311yescharacteristic, complemented
367#440Dic5311yescharacteristic, complemented
368#433—1061no—
369#433—1061no—
370#432—1061no—
371#431—1061no—
372#427C2×D5311yescharacteristic
373#424—531no—
374#424—531no—
375#424—1061no—
376#424—1061no—
377#423—531no—
378#423—531no—
379#423—1061no—
380C2×C4⋊C8—531no—
381C2×C4⋊C8—1061no—
382C2×#104—531no—
383C2×#104—531no—
384C2×#104—531no—
385C2×#104—531no—
386#416C2×D5311yescharacteristic
387#416C2×D5311yescharacteristic
388#408—531no—
389#408—531no—
390#405—531no—
391#405—531no—
392C2×#97—531no—
393C2×#97C2×D5311yescharacteristic
394C2×C4×C8—531no—
395C4×C4⋊C4—531no—
396#341—531no—
397#341—531no—
398#341—531no—
399#341—531no—
400#339—531no—
401#339—531no—
402#339—531no—
403#339—531no—
404#336—531no—
405#336—531no—
406C53#2278411yescharacteristic, complemented, Sylow
407C2×#41C22×D5311yescharacteristic
408C2×#41C22×D5311yescharacteristic
409#135—22no—
410#135—22no—
411C2×Q16C2×Dic5311yescharacteristic
412C2×SD16C2×Dic5311yescharacteristic
413C2×SD16C2×Dic5311yescharacteristic
414C2×D8C2×Dic5311yescharacteristic
415#131—1062no—
416#131—1062no—
417#131—2121no—
418#131—2121no—
419C2×M16—531no—
420C2×M16—531no—
421C2×M16—531no—
422C2×M16—531no—
423C2×M16—1061no—
424C2×M16—1061no—
425C22×C8—531no—
426C22×C8—531no—
427C22×C8—1061no—
428C22×C8—1061no—
429C22×C8C22×D5311yescharacteristic
430C22×C8C22×D5311yescharacteristic
431C4×Q8C2×Dic5311yescharacteristic
432C4×Q8C2×Dic5311yescharacteristic
433C4×Q8C2×Dic5311yescharacteristic
434C4×Q8C2×Dic5311yescharacteristic
435C4×D4—21no—
436C4×D4—21no—
437C4×D4—21no—
438C4×D4—21no—
439C4×D4C2×Dic5311yescharacteristic
440C4×D4C2×Dic5311yescharacteristic
441C4×D4C2×Dic5311yescharacteristic
442C4×D4C2×Dic5311yescharacteristic
443#117—21no—
444#117—21no—
445#117C22×D5311yescharacteristic
446#117C22×D5311yescharacteristic
447C2×C4⋊C4—1061no—
448C2×C42—21no—
449C2×C42—21no—
450C2×C42—531no—
451C2×C42—531no—
452C2×C42C22×D5311yescharacteristic
453#107C2×Dic5311yescharacteristic
454#107C2×Dic5311yescharacteristic
455#106C2×Dic5311yescharacteristic
456#106C2×Dic5311yescharacteristic
457C4⋊C8—531no—
458C4⋊C8—531no—
459C4⋊C8—531no—
460C4⋊C8—531no—
461C4⋊C8—1061no—
462C4⋊C8—1061no—
463C4⋊C8—1061no—
464C4⋊C8—1061no—
465C4⋊C8—1061no—
466C4⋊C8—1061no—
467C4⋊C8—1061no—
468C4⋊C8—1061no—
469#104—1062no—
470#104—1062no—
471#104—2121no—
472#104—2121no—
473#103C2×Dic5311yescharacteristic
474#103C2×Dic5311yescharacteristic
475#103C2×Dic5311yescharacteristic
476#103C2×Dic5311yescharacteristic
477#102C2×Dic5311yescharacteristic
478#102C2×Dic5311yescharacteristic
479#102C2×Dic5311yescharacteristic
480#102C2×Dic5311yescharacteristic
481C22⋊C8—1061no—
482C22⋊C8—1061no—
483C22⋊C8—1061no—
484C22⋊C8—1061no—
485#97—1061no—
486#97—1061no—
487#97—2121no—
488#97C2×Dic5311yescharacteristic
489#97C2×Dic5311yescharacteristic
490#97C2×Dic5311yescharacteristic
491#97C2×Dic5311yescharacteristic
492C4×C8—1061no—
493C4×C8—1061no—
494C4×C8—2121no—
495#95—1061no—
496#41—21no—
497#41—21no—
498#41—21no—
499#41—21no—
500#41—21no—
501#41—21no—
502#41#1171994512yes—
503#41#1171994512yes—
504C2×Q8C22×Dic5311yescharacteristic
505C2×Q8C22×Dic5311yescharacteristic
506C2×D4—21no—
507C2×D4—21no—
508C2×D4C22×Dic5311yescharacteristic
509C2×D4C22×Dic5311yescharacteristic
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—1061no—
517C22×C4—1061no—
518C22×C4#1171994711yescharacteristic
519C22×C4#1171994711yescharacteristic
520C22×C4C23×D5311yescharacteristic
521Q16—22no—
522SD16—22no—
523SD16—22no—
524D8—22no—
525M16—1061no—
526M16—1061no—
527M16—1061no—
528M16—1061no—
529M16—1061no—
530M16—1061no—
531M16—1061no—
532M16—1061no—
533M16—2122no—
534M16—2122no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—531no—
540C2×C8—531no—
541C2×C8—531no—
542C2×C8—531no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1061no—
551C2×C8—2122no—
552C2×C8—2122no—
553C2×C8C22×Dic5311yescharacteristic
554C2×C8C22×Dic5311yescharacteristic
555C2×C8C22×Dic5311yescharacteristic
556C2×C8C22×Dic5311yescharacteristic
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—2122no—
562C4⋊C4C22×Dic5311yescharacteristic
563C4⋊C4C22×Dic5311yescharacteristic
564C4⋊C4C22×Dic5311yescharacteristic
565C4⋊C4C22×Dic5311yescharacteristic
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C42—21no—
573C42—21no—
574C42—21no—
575C42—21no—
576C42—21no—
577C42—21no—
578C42—1061no—
579C42—1061no—
580C42—1061no—
581C42—1061no—
582C42D4×D5311yescharacteristic
583C42D4×D5311yescharacteristic
584C42C22×Dic5311yescharacteristic
585C42C22×Dic5311yescharacteristic
586C23—21no—
587C23—21no—
588C23C2×#1171994711yescharacteristic
589Q8—21no—
590Q8—21no—
591Q8—21no—
592Q8#1313317612yes—
593D4—22no—
594D4—22no—
595D4—21no—
596D4—21no—
597D4—21no—
598D4—41no—
599D4—41no—
600D4#1313317612yes—
601C2×C4—21no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—81no—
616C2×C4—81no—
617C2×C4—1062no—
618C2×C4—2121no—
619C2×C4—2121no—
620C2×C4—2121no—
621C2×C4—2121no—
622C2×C4—2121no—
623C2×C4D4×Dic5311yescharacteristic
624C2×C4D4×Dic5311yescharacteristic
625C2×C4D4×Dic5311yescharacteristic
626C2×C4D4×Dic5311yescharacteristic
627C2×C4C23×Dic5311yescharacteristic
628C2×C4C2×D4×D5311yescharacteristic
629C2×C4C2×#1171994511yescharacteristic
630C2×C4C2×#1171994511yescharacteristic
631C2×C4#1313326311yescharacteristic
632C2×C4#1313326411yescharacteristic
633C8—21no—
634C8—21no—
635C8—21no—
636C8—21no—
637C8—1061no—
638C8—1061no—
639C8—1061no—
640C8—1061no—
641C8—2121no—
642C8—2121no—
643C8—2121no—
644C8—2121no—
645C22—21no—
646C22—21no—
647C22—22no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22C2×D4×Dic5311yescharacteristic
654C22#1681131311yescharacteristic
655C22#1681131911yescharacteristic
656C4—22no—
657C4—21no—
658C4—21no—
659C4—21no—
660C4—21no—
661C4—41no—
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—4241no—
667C4—2122no—
668C4C2×#1313317611yescharacteristic
669C4#1681110611yescharacteristic
670C4#1681126911yescharacteristic
671C4#1681128211yescharacteristic
672C2—21no—
673C2—21no—
674C2—42no—
675C2—81no—
676C2#2027764411yescharacteristic
677C2#2028361811yescharacteristic
678C2#2028362511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#2943C2
socleC22×C53C2×C4×D4
prime radicalC2×#135×C53C22
cosocleC22×C4×C53C24
hypercenter#2943D53
hypocenterC53#22784
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #2943

Complements

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

NH ≅ G/Ntype
1. #20283381C2semidirect
2. #20283283C2semidirect
3. #20275428C2semidirect
4. #20275421C2semidirect
5. #20275316C2semidirect
6. #20275316C2semidirect
9. #20274856C2semidirect
10. #20274735C2semidirect
11. #20274735C2semidirect
12. #20274587C2semidirect
13. #20274562C2semidirect
14. #20274555C2semidirect
55. C53×#442C4semidirect
56. C53×#442C4semidirect
57. C53×#441C4semidirect
58. C53×#441C4semidirect
59. C53×#440C4semidirect
60. C53×#440C4semidirect
61. C53×#440C4semidirect
62. C53×#440C4semidirect
360. #442Dic53semidirect
361. #442Dic53semidirect
362. #441Dic53semidirect
363. #441Dic53semidirect
364. #440Dic53semidirect
365. #440Dic53semidirect
366. #440Dic53semidirect
367. #440Dic53semidirect
406. C53#22784semidirect

Maximal subgroups

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

subgroupindex
#202833812
#202832832
#202754282
#202754212
#202753162
#202750442
#202748562
#202747352
#202745872
#202745622
#202745552
C53×#29432
#2278453