Finite Group Databasebeta

← #27351868

Subgroups — #27351868

Order 13568.

1074 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20288554C211yesmaximal, characteristic
2#20283744C211yesmaximal, characteristic, complemented
3#20273286C211yesmaximal, characteristic, complemented
4#20273282C211yesmaximal, characteristic, complemented
5#20273256C212yesmaximal, complemented
6#20273251C212yesmaximal, complemented
7#20273238C212yesmaximal, complemented
8#20273217C212yesmaximal, complemented
9C2×#16810359C211yesmaximal, characteristic, complemented
10C2×#16810356C211yesmaximal, characteristic, complemented
11C53×#2349C211yesmaximal, characteristic, complemented
12#16811322—22no—
13#16811319C412yescomplemented
14#16811313C412yescomplemented
15#16811302—22no—
16#16811282C412yescomplemented
17#16811269C412yescomplemented
18#16811220—21no—
19#16811211—21no—
20#16811182—21no—
21#16811157C2212yes—
22#16811134C2212yes—
23C2×#13133196C2211yescharacteristic
24C2×#13133191C2211yescharacteristic
25#16811096—21no—
26#16810695—22no—
27#16810695—22no—
28#16810680C2212yescomplemented
29#16810587C2212yescomplemented
30C2×C22⋊#88322C2211yescharacteristic
31C2×C22⋊#88322C2211yescharacteristic
32#16810359C2212yescomplemented
33#16810359C2212yescomplemented
34#16810359C2212yescomplemented
35#16810359C2212yescomplemented
36#16810356C2212yes—
37#16810356C2212yes—
38#16810356C2212yes—
39#16810356C2212yes—
40C2×C4×D4×C53—21no—
41C2×C4×D4×C53C2211yescharacteristic
42C53×#389—21no—
43C53×#385—21no—
44C53×#385—21no—
45C53×#382C2211yescharacteristic, complemented
46C53×#380C2211yescharacteristic
47C53×#380C2211yescharacteristic, complemented
48C4×C4⋊C4×C53C2211yescharacteristic, complemented
49C2×#95×C53C2211yescharacteristic
50C2×#95×C53C2211yescharacteristic, complemented
51C2×#11719945C2×C412yescomplemented
52C22×Dic106C2×C411yescharacteristic, complemented
53C22×D212C2×C411yescharacteristic, complemented
54C22×C22⋊D53—21no—
55C2×#11719917—22no—
56C22×#88322—21no—
57C22×#88322—21no—
58#13133212—22no—
59#13133211—22no—
60#13133210—22no—
61#13133209C2×C412yescomplemented
62#13133207—22no—
63#13133205C2×C412yescomplemented
64#13133203—22no—
65#13133202—22no—
66#13133200—22no—
67#13133200—22no—
68#13133199—22no—
69#13133198—22no—
70#13133196—21no—
71#13133196—21no—
72#13133196C2×C412yescomplemented
73#13133196C2×C412yescomplemented
74#13133196C2312yes—
75#13133195—22no—
76#13133191—21no—
77#13133191—21no—
78#13133191C2×C412yescomplemented
79#13133191C2×C412yescomplemented
80#13133191C2312yes—
81#13133190—22no—
82#13133189—22no—
83#13133189—22no—
84#13133186—22no—
85#13133185—22no—
86C4×Dic106C2×C412yescomplemented
87C4×D212C2×C412yescomplemented
88C4×C22⋊D53—22no—
89C4×C22⋊D53—22no—
90C4×C22⋊D53—22no—
91#13133177—22no—
92#13133177—22no—
93#13133176C2×C412yescomplemented
94#13133174—22no—
95#13133173—22no—
96C2×C4⋊Dic53C2×C411yescharacteristic, complemented
97C2×C4⋊Dic53C2×C411yescharacteristic, complemented
98C2×#11719919—21no—
99C2×C22⋊Dic53—21no—
100C2×#11719921—21no—
101C22⋊C4×D53—22no—
102C4⋊#88322—22no—
103C22⋊#88322—21no—
104C22⋊#88322—21no—
105C22⋊#88322—22no—
106C22⋊#88322C2312yes—
107C22⋊#88322C2312yes—
108#13133128—22no—
109C22×D4×C53D411yescharacteristic
110C23×C4×C53—21no—
111C23×C4×C53—21no—
112C23×C4×C53C2311yescharacteristic
113C23×C4×C53C2311yescharacteristic
114C4×D4×C53—44no—
115C4×D4×C53C2×C412yes—
116C4×D4×C53C2×C412yes—
117C4×D4×C53D412yes—
118C4×D4×C53D412yes—
119C2×C4⋊C4×C53—21no—
120C2×C4⋊C4×C53—21no—
121C2×C4⋊C4×C53—21no—
122C2×C4⋊C4×C53—21no—
123C2×C4⋊C4×C53D411yescharacteristic
124C2×C22⋊C4×C53—21no—
125C2×C22⋊C4×C53—21no—
126C2×C22⋊C4×C53D411yescharacteristic
127C2×C22⋊C4×C53D411yescharacteristic
128C2×C42×C53—21no—
129C2×C42×C53C2311yescharacteristic
130#95×C53—21no—
131#95×C53—21no—
132#95×C53—21no—
133#95×C53C2311yescharacteristic
134#95×C53C2311yescharacteristic
135#95×C53C2311yescharacteristic
136#95×C53C2311yescharacteristic
137C24×C53C2×D411yescharacteristic
138C24×C53C2×D411yescharacteristic
139C23×D53—21no—
140C2×D4×C53—22no—
141C2×D4×C53—22no—
142C2×D4×C53C22⋊C412yes—
143C2×D4×C53C22⋊C412yes—
144C22×C4×C53—21no—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—42no—
149C22×C4×C53—42no—
150C22×C4×C53—42no—
151C22×C4×C53—42no—
152C22×C4×C53—81no—
153C22×C4×C53—81no—
154C22×C4×C53—81no—
155C22×C4×C53—81no—
156C22×C4×C53C22×C411yescharacteristic
157C22×C4×C53C22×C411yescharacteristic
158C22×C4×C53C22×C412yes—
159C22×C4×C53C2×D411yescharacteristic
160C22×C4×C53C2×D411yescharacteristic
161C22×C4×C53C2×D411yescharacteristic
162C22×C4×C53C2×D411yescharacteristic
163C22×C4×C53C2×D411yescharacteristic
164C22×C4×C53C2×D411yescharacteristic
165C22×C4×C53C2×D412yes—
166C22×C4×C53C2411yescharacteristic
167C2×C22⋊D53—22no—
168C2×C22⋊D53—22no—
169C2×C22⋊D53—22no—
170C2×C22⋊D53—22no—
171C2×C22⋊D53—42no—
172C2×C22⋊D53—42no—
173C22×Dic53—21no—
174C22×Dic53—21no—
175C22×Dic53—21no—
176#11719945—82no—
177C2×D212—21no—
178C2×D212—81no—
179C2×D212C22×C412yes—
180C2×C4×D53—22no—
181C2×C4×D53—22no—
182C2×Dic106—21no—
183C2×Dic106—81no—
184C2×Dic106C22×C412yes—
185C4⋊C4×C53—42no—
186C4⋊C4×C53—42no—
187C4⋊C4×C53—81no—
188C4⋊C4×C53—81no—
189C4⋊C4×C53C22⋊C412yes—
190C4⋊C4×C53C22⋊C412yes—
191C22⋊C4×C53—42no—
192C22⋊C4×C53—42no—
193C22⋊C4×C53C22⋊C412yes—
194C22⋊C4×C53C22⋊C412yes—
195C22⋊C4×C53C22⋊C412yes—
196C22⋊C4×C53C22⋊C412yes—
197C42×C53—42no—
198C42×C53C22×C412yes—
199C42×C53C2×D412yes—
200C22⋊Dic53—22no—
201C22⋊Dic53—22no—
202C22⋊Dic53—22no—
203C22⋊Dic53—22no—
204#11719921—22no—
205#11719921—22no—
206#11719921—22no—
207#11719921—22no—
208#11719921—22no—
209#11719921—22no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53C22×C412yes—
213C4⋊Dic53C22×C412yes—
214#11719919—22no—
215#11719919—22no—
216#11719919—22no—
217#11719919—22no—
218#11719919—22no—
219#11719919—22no—
220C4×Dic53—22no—
221C4×Dic53—22no—
222#11719917—82no—
223C2×#88322—22no—
224C2×#88322—22no—
225C2×#88322—81no—
226C2×#88322—81no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—41no—
230C23×C53—41no—
231C23×C53—41no—
232C23×C53—41no—
233C23×C53C2×C22⋊C412yes—
234C23×C53C2×C22⋊C411yescharacteristic
235C23×C53C2×C22⋊C411yescharacteristic
236C23×C53AGL(1,ℤ/8)12yes—
237C23×C53#13712yes—
238C23×C53C22×D411yescharacteristic
239C22×D53—22no—
240C22×D53—42no—
241C22×D53—81no—
242C22×D53—81no—
243D4×C53—24no—
244D4×C53—24no—
245C2×C4×C53—21no—
246C2×C4×C53—21no—
247C2×C4×C53—22no—
248C2×C4×C53—41no—
249C2×C4×C53—41no—
250C2×C4×C53—42no—
251C2×C4×C53—41no—
252C2×C4×C53—41no—
253C2×C4×C53—41no—
254C2×C4×C53—42no—
255C2×C4×C53—41no—
256C2×C4×C53—41no—
257C2×C4×C53—41no—
258C2×C4×C53—41no—
259C2×C4×C53—41no—
260C2×C4×C53—41no—
261C2×C4×C53—41no—
262C2×C4×C53—41no—
263C2×C4×C53—41no—
264C2×C4×C53—41no—
265C2×C4×C53—41no—
266C2×C4×C53—41no—
267C2×C4×C53—41no—
268C2×C4×C53—41no—
269C2×C4×C53—84no—
270C2×C4×C53—84no—
271C2×C4×C53C2×C22⋊C411yescharacteristic
272C2×C4×C53C2×C22⋊C412yes—
273C2×C4×C53C2×C22⋊C412yes—
274C2×C4×C53C2×C22⋊C411yescharacteristic
275C2×C4×C53C2×C22⋊C412yes—
276C2×C4×C53C23×C411yescharacteristic
277C2×C4×C53C22×D411yescharacteristic
278C22⋊D53—42no—
279C22⋊D53—42no—
280C22⋊D53—44no—
281C22⋊D53—82no—
282C22⋊D53—82no—
283C2×Dic53—22no—
284C2×Dic53—22no—
285C2×Dic53—22no—
286C2×Dic53—42no—
287C2×Dic53—81no—
288C2×Dic53—81no—
289D212—42no—
290D212—81no—
291C4×D53—82no—
292C4×D53—82no—
293Dic106—42no—
294Dic106—81no—
295#88322—42no—
296#88322—42no—
297#17622—531nomaximal, Sylow
298C22×C53—21no—
299C22×C53—21no—
300C22×C53—21no—
301C22×C53—21no—
302C22×C53—21no—
303C22×C53—21no—
304C22×C53—22no—
305C22×C53—22no—
306C22×C53—22no—
307C22×C53—42no—
308C22×C53—42no—
309C22×C53—42no—
310C22×C53—42no—
311C22×C53#41712yes—
312C22×C53#41712yes—
313C22×C53C22×C22⋊C411yescharacteristic
314C22×C53C2×AGL(1,ℤ/8)11yescharacteristic
315C22×C53C2×#13711yescharacteristic
316C2×D53—42no—
317C2×D53—42no—
318C2×D53—42no—
319C2×D53—162no—
320C4×C53—21no—
321C4×C53—21no—
322C4×C53—21no—
323C4×C53—22no—
324C4×C53—21no—
325C4×C53—22no—
326C4×C53—22no—
327C4×C53—42no—
328C4×C53—81no—
329C4×C53—81no—
330C4×C53—81no—
331Dic53—42no—
332Dic53—42no—
333Dic53—42no—
334#3505—531no—
335#2973—531no—
336#2349D5311yescharacteristic, complemented
337#1520—531no—
338#1519—531no—
339#1513—532no—
340#1512—532no—
341#1509—532no—
342#1504—532no—
343C2×#328—531no—
344C2×#327—531no—
345C2×C53—21no—
346C2×C53—22no—
347C2×C53—21no—
348C2×C53—22no—
349C2×C53—42no—
350C2×C53#288311yescharacteristic
351C2×C53C2×#41711yescharacteristic
352C2×C53#290111yescharacteristic
353D53—82no—
354#553—532no—
355#553—1062no—
356#552—532no—
357#551—1062no—
358#548—532no—
359#546—532no—
360#539—1061no—
361#538—1061no—
362#534—1061no—
363#529—532no—
364#525—532no—
365C2×C22⋊Q8—531no—
366C2×#121—531no—
367#518—1061no—
368C2×C4×D4—21no—
369C2×C4×D4C2×D5311yescharacteristic
370#435—1062no—
371#435—1062no—
372#432—532no—
373#407—532no—
374C2×C22⋊C8—531no—
375C2×C22⋊C8—531no—
376#389—21no—
377#385—21no—
378#385—21no—
379#382C2×D5311yescharacteristic, complemented
380#380C2×D5311yescharacteristic
381#380C2×D5311yescharacteristic, complemented
382C4×C4⋊C4C2×D5311yescharacteristic, complemented
383C2×#95C2×D5311yescharacteristic
384C2×#95C2×D5311yescharacteristic, complemented
385#328—532no—
386#328—532no—
387#328—532no—
388#328—532no—
389#327—532no—
390#327—532no—
391#327—532no—
392#327—532no—
393C53#1762211yescharacteristic, complemented, Sylow
394C2×#41—532no—
395C22×Q8—531no—
396C22×D4—531no—
397C22×D4—1061no—
398C22×D4C22⋊D5311yescharacteristic
399C23×C4—21no—
400C23×C4—21no—
401C23×C4C22×D5311yescharacteristic
402C23×C4C22×D5311yescharacteristic
403C2×M16—1062no—
404C22×C8—1061no—
405C22×C8—1061no—
406#126—1062no—
407#126—1062no—
408#126—1062no—
409#125—532no—
410#125—1062no—
411#124—532no—
412#124—1062no—
413#123—1062no—
414#123—1062no—
415#123—1062no—
416#123—1062no—
417#123—1062no—
418C22⋊Q8—532no—
419C22⋊Q8—532no—
420C22⋊Q8—532no—
421C22⋊Q8—1061no—
422C22⋊Q8—1061no—
423C22⋊Q8—1062no—
424#121—532no—
425#121—532no—
426#121—532no—
427#121—1062no—
428#121—1062no—
429#121—1061no—
430#121—1061no—
431#121—1062no—
432#120—1062no—
433#120—1062no—
434C4×Q8—532no—
435C4×D4—44no—
436C4×D4—532no—
437C4×D4—1062no—
438C4×D4—1062no—
439C4×D4—1062no—
440C4×D4—1062no—
441C4×D4—1062no—
442C4×D4C4×D5312yes—
443C4×D4C4×D5312yes—
444C4×D4D21212yes—
445C4×D4D21212yes—
446#117—532no—
447#117—1062no—
448#117—1062no—
449C2×C4⋊C4—21no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—1061no—
456C2×C4⋊C4C22⋊D5311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1061no—
460C2×C22⋊C4—1061no—
461C2×C22⋊C4—1062no—
462C2×C22⋊C4C22⋊D5311yescharacteristic
463C2×C22⋊C4C22⋊D5311yescharacteristic
464C2×C42—21no—
465C2×C42C22×D5311yescharacteristic
466C4⋊C8—1062no—
467C22⋊C8—532no—
468C22⋊C8—532no—
469C22⋊C8—1061no—
470C22⋊C8—1061no—
471C22⋊C8—1062no—
472#97—1062no—
473#95—21no—
474#95—21no—
475#95—21no—
476#95C22×D5311yescharacteristic
477#95C22×D5311yescharacteristic
478#95C22×D5311yescharacteristic
479#95C22×D5311yescharacteristic
480C24—1061no—
481C24C2×C22⋊D5311yescharacteristic
482C24C2×C22⋊D5311yescharacteristic
483#41—4242no—
484C2×Q8—532no—
485C2×Q8—1061no—
486C2×Q8—4241no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—532no—
490C2×D4—1062no—
491C2×D4—1062no—
492C2×D4—1062no—
493C2×D4—1062no—
494C2×D4—1061no—
495C2×D4—4241no—
496C2×D4—2122no—
497C2×D4—2122no—
498C2×D4#1171992112yes—
499C2×D4#1171992112yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4—1061no—
513C22×C4—1061no—
514C22×C4—1061no—
515C22×C4—1062no—
516C22×C4—1062no—
517C22×C4C2×C4×D5311yescharacteristic
518C22×C4C2×C4×D5311yescharacteristic
519C22×C4C2×C4×D5312yes—
520C22×C4C2×D21211yescharacteristic
521C22×C4C2×D21211yescharacteristic
522C22×C4C2×D21212yes—
523C22×C4C2×C22⋊D5311yescharacteristic
524C22×C4C2×C22⋊D5311yescharacteristic
525C22×C4C2×C22⋊D5311yescharacteristic
526C22×C4C2×C22⋊D5311yescharacteristic
527C22×C4C23×D5311yescharacteristic
528M16—4242no—
529C2×C8—1062no—
530C2×C8—1062no—
531C2×C8—4241no—
532C2×C8—4241no—
533C4⋊C4—42no—
534C4⋊C4—42no—
535C4⋊C4—81no—
536C4⋊C4—81no—
537C4⋊C4—532no—
538C4⋊C4—532no—
539C4⋊C4—1061no—
540C4⋊C4—1061no—
541C4⋊C4—1062no—
542C4⋊C4—1062no—
543C4⋊C4—1062no—
544C4⋊C4—1062no—
545C4⋊C4—1062no—
546C4⋊C4—1062no—
547C4⋊C4#1171992112yes—
548C4⋊C4#1171992112yes—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—1062no—
552C22⋊C4—1062no—
553C22⋊C4—1062no—
554C22⋊C4—1062no—
555C22⋊C4—1062no—
556C22⋊C4—1062no—
557C22⋊C4—1062no—
558C22⋊C4—1062no—
559C22⋊C4—1062no—
560C22⋊C4—1062no—
561C22⋊C4#1171992112yes—
562C22⋊C4#1171992112yes—
563C22⋊C4#1171992112yes—
564C22⋊C4#1171992112yes—
565C42—42no—
566C42—1062no—
567C42—1062no—
568C42C2×C4×D5312yes—
569C42C2×D21212yes—
570C23—21no—
571C23—21no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—1062no—
577C23—4241no—
578C23—4241no—
579C23—2122no—
580C23C2×#1171992112yes—
581C23C2×#1171992111yescharacteristic
582C23C2×#1171992111yescharacteristic
583C23#1313324312yes—
584C23#1313324812yes—
585C23C22×C22⋊D5311yescharacteristic
586Q8—4241no—
587Q8—2122no—
588D4—24no—
589D4—24no—
590D4—4241no—
591D4—4242no—
592D4—4242no—
593D4—2122no—
594D4—2124no—
595D4—2122no—
596D4—2122no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—22no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—42no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4—1062no—
624C2×C4—1062no—
625C2×C4—1062no—
626C2×C4—4242no—
627C2×C4—4242no—
628C2×C4—4241no—
629C2×C4—4241no—
630C2×C4—2122no—
631C2×C4C2×#1171992112yes—
632C2×C4C2×#1171992112yes—
633C2×C4C2×#1171992112yes—
634C2×C4C2×#1171992111yescharacteristic
635C2×C4C2×#1171992111yescharacteristic
636C2×C4C22×C4×D5311yescharacteristic
637C2×C4C22×D21211yescharacteristic
638C8—2122no—
639C8—2122no—
640C22—21no—
641C22—21no—
642C22—21no—
643C22—21no—
644C22—21no—
645C22—21no—
646C22—22no—
647C22—22no—
648C22—22no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—8482no—
654C22—2122no—
655C22—2122no—
656C22—2122no—
657C22#1681062212yes—
658C22#1681062212yes—
659C22C22×#1171992111yescharacteristic
660C22C2×#1313324311yescharacteristic
661C22C2×#1313324811yescharacteristic
662C4—21no—
663C4—21no—
664C4—22no—
665C4—21no—
666C4—21no—
667C4—22no—
668C4—22no—
669C4—42no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4—2122no—
674C4—2122no—
675C4—2122no—
676C2—21no—
677C2—21no—
678C2—22no—
679C2—22no—
680C2—42no—
681C2—4242no—
682C2#2028317511yescharacteristic
683C2C2×#1681062211yescharacteristic
684C2#2028326311yescharacteristic
subgroupG/H
centerC22C22×#11719921
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#2349C2
socleC22×C53C22×C22⋊C4
prime radical#20288554C2
cosocleC22×C4×C53C24
hypercenter#2349D53
hypocenterC53#17622
LCSG ▷ C2×C4×C53 ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ #2349

Complements

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

NH ≅ G/Ntype
2. #20283744C2semidirect
3. #20273286C2semidirect
4. #20273282C2semidirect
5. #20273256C2semidirect
6. #20273251C2semidirect
7. #20273238C2semidirect
8. #20273217C2semidirect
9. C2×#16810359C2semidirect
10. C2×#16810356C2semidirect
11. C53×#2349C2semidirect
13. #16811319C4semidirect
14. #16811313C4semidirect
16. #16811282C4semidirect
17. #16811269C4semidirect
28. #16810680C22semidirect
29. #16810587C22semidirect
32. #16810359C22semidirect
33. #16810359C22semidirect
34. #16810359C22semidirect
35. #16810359C22semidirect
45. C53×#382C22semidirect
47. C53×#380C22semidirect
48. C4×C4⋊C4×C53C22semidirect
50. C2×#95×C53C22semidirect
51. C2×#11719945C2×C4semidirect
52. C22×Dic106C2×C4semidirect
53. C22×D212C2×C4semidirect
61. #13133209C2×C4semidirect
63. #13133205C2×C4semidirect
72. #13133196C2×C4semidirect
73. #13133196C2×C4semidirect
78. #13133191C2×C4semidirect
79. #13133191C2×C4semidirect
86. C4×Dic106C2×C4semidirect
87. C4×D212C2×C4semidirect
93. #13133176C2×C4semidirect
96. C2×C4⋊Dic53C2×C4semidirect
97. C2×C4⋊Dic53C2×C4semidirect
336. #2349D53semidirect
379. #382C2×D53semidirect
381. #380C2×D53semidirect
382. C4×C4⋊C4C2×D53semidirect
384. C2×#95C2×D53semidirect
393. C53#17622semidirect

Maximal subgroups

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

subgroupindex
#202885542
#202837442
#202732862
#202732822
#202732562
#202732512
#202732382
#202732172
C2×#168103592
C2×#168103562
C53×#23492
#1762253