Finite Group Databasebeta

← #27406678

Subgroups — #27406678

Order 13568.

1066 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810850C211yesmaximal, characteristic
2C2×#16810714C211yesmaximal, characteristic, complemented
3C22×#13133148C211yesmaximal, characteristic, complemented
4#20277735C211yesmaximal, characteristic
5#20277720C211yesmaximal, characteristic, complemented
6#20275570C211yesmaximal, characteristic, complemented
7#20275442C211yesmaximal, characteristic, complemented
8#20275347C211yesmaximal, characteristic, complemented
9#20275345C211yesmaximal, characteristic, complemented
10#20275020C211yesmaximal, characteristic, complemented
11#20274984C211yesmaximal, characteristic, complemented
12#20274974C211yesmaximal, characteristic, complemented
13#20274603C211yesmaximal, characteristic, complemented
14#20274489C211yesmaximal, characteristic, complemented
15C53×#1874C211yesmaximal, characteristic
16C22×#11719923C2211yescharacteristic
17C23×#88322C2211yescharacteristic
18C2×#13133196C2211yescharacteristic
19C2×#13133182C2211yescharacteristic
20C2×D4×Dic53—21no—
21C2×D4×Dic53C2211yescharacteristic
22C22×C4⋊Dic53C2211yescharacteristic
23#16810850C418yescomplemented
24#16810714—24no—
25C2×#13133148—24no—
26C2×#13133148C2211yescharacteristic
27C2×#13133148C2211yescharacteristic
28C2×#13133148C2211yescharacteristic
29C2×#13133148C2211yescharacteristic
30C2×#13133148C2211yescharacteristic
31C2×#13133142C2211yescharacteristic
32C2×#13133142C2211yescharacteristic
33C2×#13133140C2211yescharacteristic
34C2×#13133138C2211yescharacteristic
35C2×C8×Dic53C2211yescharacteristic
36C2×C8×Dic53C2211yescharacteristic
37#16810528C2211yescharacteristic
38#16810526C2211yescharacteristic
39#16810522C2211yescharacteristic
40#16810519C2211yescharacteristic
41#16810518—21no—
42#16810516—21no—
43#16810504—21no—
44#16810503—21no—
45#16810498—21no—
46#16810496—21no—
47C4⋊C4×Dic53C2211yescharacteristic
48C4⋊C4×Dic53C2211yescharacteristic
49C4×C22⋊Dic53—21no—
50C4×C22⋊Dic53C2211yescharacteristic
51#16810386C2211yescharacteristic
52#16810386C2211yescharacteristic
53#16810377C2211yescharacteristic
54#16810377C2211yescharacteristic
55C2×#121×C53C2211yescharacteristic
56C22×C4⋊C4×C53C2211yescharacteristic
57C2×#102×C53C2211yescharacteristic
58C2×#102×C53C2211yescharacteristic
59C2×C22⋊C8×C53C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C22×Dic106C2311yescharacteristic
63C23×Dic53—21no—
64C23×Dic53—21no—
65C2×#11719923—22no—
66C2×#11719923—22no—
67C2×#11719923C2×C414yescomplemented
68C22×#88322—22no—
69C22×#88322—22no—
70C22×#88322C2×C414yescomplemented
71C22×#88322C2311yescharacteristic
72C22×#88322C2311yescharacteristic
73#13133196—22no—
74#13133196C2×C414yescomplemented
75#13133182—22no—
76#13133182—41no—
77D4×Dic53—22no—
78D4×Dic53—41no—
79D4×Dic53—44no—
80C2×C4⋊Dic53—21no—
81C2×C4⋊Dic53—21no—
82C2×C4⋊Dic53—22no—
83C2×C4⋊Dic53—41no—
84C2×C4⋊Dic53C2311yescharacteristic
85C2×C4⋊Dic53C2311yescharacteristic
86C2×C4⋊Dic53C2311yescharacteristic
87C2×#11719919—21no—
88C2×#11719919—21no—
89C2×#11719919—21no—
90C2×C22⋊Dic53—21no—
91C2×C22⋊Dic53—21no—
92C2×C22⋊Dic53—21no—
93C2×C22⋊Dic53—21no—
94C2×C22⋊Dic53D411yescharacteristic
95C2×C22⋊Dic53D411yescharacteristic
96C2×C4×Dic53—21no—
97C2×C4×Dic53—21no—
98C2×C4×Dic53—21no—
99C2×C4×Dic53C2311yescharacteristic
100C2×C4×Dic53C2311yescharacteristic
101#13133148—22no—
102#13133148—22no—
103#13133148—22no—
104#13133148C2×C414yescomplemented
105#13133148D414yescomplemented
106#13133142—22no—
107#13133142—41no—
108#13133140C2×C414yescomplemented
109#13133138C2×C414yescomplemented
110C8×Dic53—22no—
111C8×Dic53—22no—
112#13133124—21no—
113#13133124—21no—
114#13133124—21no—
115#13133124—21no—
116#13133124—21no—
117#13133124—21no—
118#13133124D411yescharacteristic
119#13133124D411yescharacteristic
120C22×D4×C53—21no—
121C22×D4×C53C2311yescharacteristic
122C23×C4×C53—21no—
123C23×C4×C53C2311yescharacteristic
124C22×C8×C53C2311yescharacteristic
125C22×C8×C53C2311yescharacteristic
126#121×C53—22no—
127#121×C53C2×C414yes—
128C2×C4⋊C4×C53—21no—
129C2×C4⋊C4×C53—22no—
130C2×C4⋊C4×C53—41no—
131C2×C4⋊C4×C53C2311yescharacteristic
132C2×C4⋊C4×C53C2311yescharacteristic
133C2×C4⋊C4×C53C2311yescharacteristic
134C2×C22⋊C4×C53—21no—
135#102×C53—22no—
136#102×C53—41no—
137C22⋊C8×C53—22no—
138C24×C53—21no—
139C24×C53C2×D411yescharacteristic
140C2×D4×C53—24no—
141C2×D4×C53—21no—
142C2×D4×C53—21no—
143C2×D4×C53—21no—
144C2×D4×C53—21no—
145C2×D4×C53—21no—
146C2×D4×C53—42no—
147C2×D4×C53—42no—
148C2×D4×C53C22×C412yes—
149C22×C4×C53—21no—
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—42no—
157C22×C4×C53—42no—
158C22×C4×C53—81no—
159C22×C4×C53C22×C412yes—
160C22×C4×C53C2×D411yescharacteristic
161C22×C4×C53#4112yes—
162C22×C4×C53C2411yescharacteristic
163C22×Dic53—21no—
164C22×Dic53—21no—
165C22×Dic53—21no—
166C22×Dic53—21no—
167C22×Dic53—42no—
168C22×Dic53—42no—
169C22×Dic53—42no—
170C22×Dic53—42no—
171C22×Dic53—81no—
172C22×Dic53—81no—
173C22×Dic53C2×D411yescharacteristic
174C22×Dic53C2×D411yescharacteristic
175C22×Dic53C2×D411yescharacteristic
176C22×Dic53C2×D411yescharacteristic
177C2×Dic106—21no—
178C2×Dic106—21no—
179C2×Dic106—21no—
180C2×Dic106—21no—
181C2×Dic106—21no—
182C2×Dic106C22×C412yes—
183C2×C8×C53—21no—
184C2×C8×C53—21no—
185C2×C8×C53—21no—
186C2×C8×C53—21no—
187C2×C8×C53—21no—
188C2×C8×C53—21no—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—21no—
192C4⋊C4×C53—21no—
193C4⋊C4×C53—42no—
194C4⋊C4×C53C22×C412yes—
195C4⋊C4×C53C2×D412yes—
196C22⋊C4×C53—24no—
197C22⋊Dic53—24no—
198C22⋊Dic53—22no—
199C22⋊Dic53—42no—
200C22⋊Dic53—42no—
201C22⋊Dic53—81no—
202C22⋊Dic53SD1614yescomplemented
203#11719923—28no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—42no—
209C4⋊Dic53—42no—
210C4⋊Dic53C22×C412yes—
211C4⋊Dic53C2×D412yes—
212#11719919—24no—
213#11719919—42no—
214#11719919—81no—
215C4×Dic53—21no—
216C4×Dic53—21no—
217C4×Dic53—21no—
218C4×Dic53—21no—
219C4×Dic53—42no—
220C4×Dic53—42no—
221C4×Dic53—81no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—28no—
225C2×#88322C22×C412yes—
226C2×#88322C22×C412yes—
227C2×#88322C2×D412yes—
228C2×#88322#4112yes—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—22no—
234C23×C53—41no—
235C23×C53—41no—
236C23×C53—41no—
237C23×C53—41no—
238C23×C53—41no—
239C23×C53—41no—
240C23×C53C4×D412yes—
241C23×C53C2×SD1612yes—
242C23×C53#13512yes—
243C23×C53C22×D411yescharacteristic
244D4×C53—22no—
245D4×C53—22no—
246D4×C53—48no—
247D4×C53—41no—
248D4×C53—41no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—22no—
252C2×C4×C53—22no—
253C2×C4×C53—22no—
254C2×C4×C53—22no—
255C2×C4×C53—22no—
256C2×C4×C53—22no—
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—84no—
265C2×C4×C53C4×D412yes—
266C2×C4×C53C23×C411yescharacteristic
267C2×C4×C53C22×D411yescharacteristic
268C2×C4×C53C2×#4111yescharacteristic
269C2×C4×C53C2×#4111yescharacteristic
270C2×C4×C53H(5,𝔽2)11yescharacteristic
271C2×C4×C532−1+411yescharacteristic
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—21no—
275C2×Dic53—21no—
276C2×Dic53—22no—
277C2×Dic53—22no—
278C2×Dic53—22no—
279C2×Dic53—21no—
280C2×Dic53—21no—
281C2×Dic53—21no—
282C2×Dic53—21no—
283C2×Dic53—21no—
284C2×Dic53—21no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—84no—
295C2×Dic53—84no—
296C2×Dic53C2×SD1612yes—
297C2×Dic53C2×SD1612yes—
298Dic106—22no—
299Dic106—22no—
300Dic106—41no—
301Dic106—41no—
302C8×C53—41no—
303C8×C53—41no—
304#88322—22no—
305#88322C4×D414yescomplemented
306#23022—531nomaximal, Sylow
307C22×C53—22no—
308C22×C53—22no—
309C22×C53—22no—
310C22×C53—22no—
311C22×C53—22no—
312C22×C53—22no—
313C22×C53—42no—
314C22×C53—42no—
315C22×C53—42no—
316C22×C53—81no—
317C22×C53—81no—
318C22×C53—81no—
319C22×C53—81no—
320C22×C53C4×SD1614yescomplemented
321C22×C53C2×C4×D411yescharacteristic
322C22×C53D4211yescharacteristic
323C22×C53#54711yescharacteristic
324C22×C53C22×SD1611yescharacteristic
325C22×C53C2×#13511yescharacteristic
326C22×C53#57711yescharacteristic
327C22×C53#57711yescharacteristic
328C4×C53—22no—
329C4×C53—42no—
330C4×C53—42no—
331C4×C53—81no—
332C4×C53C2×C4×D411yescharacteristic
333C4×C53#52011yescharacteristic
334C4×C53#54811yescharacteristic
335C4×C53#55311yescharacteristic
336Dic53—22no—
337Dic53—22no—
338Dic53—41no—
339Dic53—42no—
340Dic53—42no—
341Dic53—42no—
342Dic53—41no—
343Dic53—81no—
344C2×#465—531no—
345C2×C4×SD16—531no—
346C22×#106—531no—
347#2361—531no—
348#2360—531no—
349#1968—531no—
350#1941—531no—
351#1927—531no—
352#1926—531no—
353#1874D5311yescharacteristic
354#1872—531no—
355#1865—531no—
356#1864—531no—
357C4×#106—531no—
358C8×C22⋊C4—531no—
359C2×C53—24no—
360C2×C53—82no—
361C2×C53#236111yescharacteristic
362C2×C53C2×C4×SD1611yescharacteristic
363C2×C53#295211yescharacteristic
364C2×C53D4×SD1611yescharacteristic
365C2×C53#328211yescharacteristic
366C2×C53#333511yescharacteristic
367C2×C53#333711yescharacteristic
368C22×SD16—531no—
369C23×C8—531no—
370C2×C22⋊Q8—531no—
371C2×#121C2×D5311yescharacteristic
372C2×C4×Q8—531no—
373C2×C4×D4—531no—
374C2×C4×D4—1061no—
375C22×C4⋊C4—531no—
376C22×C4⋊C4C2×D5311yescharacteristic
377#465—538no—
378C4×SD16—1064no—
379C2×#106—531no—
380C2×#106—531no—
381C2×#106—531no—
382C2×#106—531no—
383C2×#106—531no—
384C2×#106—1064no—
385C2×#103—531no—
386C2×#103—531no—
387C2×#103—531no—
388C2×#102—531no—
389C2×#102C2×D5311yescharacteristic
390C2×#102C2×D5311yescharacteristic
391C2×C22⋊C8C2×D5311yescharacteristic
392C2×C4×C8—531no—
393C2×C4×C8—531no—
394#391—531no—
395#390—531no—
396#389—531no—
397#389—531no—
398#389—1061no—
399#388—1061no—
400#387—1061no—
401#386—1061no—
402#385—1061no—
403#385—1061no—
404C4×C4⋊C4—531no—
405C4×C4⋊C4—531no—
406C4×C22⋊C4—531no—
407C4×C22⋊C4—1061no—
408#340—531no—
409#340—531no—
410#340C2×D5311yescharacteristic
411#340C2×D5311yescharacteristic
412#336—531no—
413#336—531no—
414C53#2302211yescharacteristic, complemented, Sylow
415C22×Q8—531no—
416C22×D4—21no—
417C22×D4C22×D5311yescharacteristic
418C23×C4—21no—
419C23×C4—1061no—
420C23×C4—1061no—
421C23×C4C22×D5311yescharacteristic
422C2×SD16—534no—
423C2×SD16—1062no—
424C2×SD16—1062no—
425C22×C8—531no—
426C22×C8—534no—
427C22×C8—531no—
428C22×C8—1062no—
429C22×C8—1062no—
430C22×C8C22×D5311yescharacteristic
431C22×C8C22×D5311yescharacteristic
432C22⋊Q8—534no—
433C22⋊Q8—1062no—
434#121—22no—
435#121C4×D5314yes—
436C4×Q8—1062no—
437C4×Q8—2121no—
438C4×D4—1062no—
439C4×D4—2121no—
440C4×D4—2124no—
441C2×C4⋊C4—22no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—41no—
444C2×C4⋊C4—531no—
445C2×C4⋊C4—531no—
446C2×C4⋊C4—531no—
447C2×C4⋊C4—1062no—
448C2×C4⋊C4—1061no—
449C2×C4⋊C4—1061no—
450C2×C4⋊C4—1061no—
451C2×C4⋊C4—1061no—
452C2×C4⋊C4—1061no—
453C2×C4⋊C4—2121no—
454C2×C4⋊C4C22×D5311yescharacteristic
455C2×C4⋊C4C22×D5311yescharacteristic
456C2×C4⋊C4C22×D5311yescharacteristic
457C2×C22⋊C4—21no—
458C2×C22⋊C4—531no—
459C2×C22⋊C4—531no—
460C2×C22⋊C4—1061no—
461C2×C22⋊C4—1061no—
462C2×C22⋊C4—1061no—
463C2×C22⋊C4—1061no—
464C2×C42—531no—
465C2×C42—531no—
466C2×C42—1061no—
467C2×C42—1061no—
468C2×C42—1061no—
469#106—534no—
470#106—534no—
471#106—1062no—
472#106—1062no—
473#106—1062no—
474#103—534no—
475#103—1062no—
476#103—2121no—
477#102—22no—
478#102—41no—
479#102—534no—
480C22⋊C8—22no—
481C4×C8—1062no—
482C4×C8—1062no—
483#95—531no—
484#95—531no—
485#95—1061no—
486#95—1061no—
487#95—1061no—
488#95—1061no—
489#95—1061no—
490#95—1061no—
491C24—21no—
492C24D4×D5311yescharacteristic
493C2×Q8—532no—
494C2×Q8—1061no—
495C2×Q8—1061no—
496C2×Q8—1061no—
497C2×Q8—1061no—
498C2×Q8—1061no—
499C2×D4—24no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4C2×C4×D5312yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—81no—
518C22×C4—531no—
519C22×C4—531no—
520C22×C4—531no—
521C22×C4—531no—
522C22×C4—1061no—
523C22×C4—1061no—
524C22×C4—1061no—
525C22×C4—1061no—
526C22×C4—4241no—
527C22×C4—4241no—
528C22×C4—2122no—
529C22×C4—2122no—
530C22×C4—2122no—
531C22×C4—2122no—
532C22×C4C2×C4×D5312yes—
533C22×C4D4×D5311yescharacteristic
534C22×C4#1171994712yes—
535C22×C4C23×D5311yescharacteristic
536SD16—1068no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—532no—
544C2×C8—532no—
545C2×C8—532no—
546C2×C8—532no—
547C2×C8—1068no—
548C2×C8—1061no—
549C2×C8—1061no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—42no—
555C4⋊C4—532no—
556C4⋊C4—532no—
557C4⋊C4—1064no—
558C4⋊C4—1061no—
559C4⋊C4—1061no—
560C4⋊C4—1061no—
561C4⋊C4—1061no—
562C4⋊C4—4241no—
563C4⋊C4—2122no—
564C4⋊C4—2122no—
565C4⋊C4—2122no—
566C4⋊C4C2×C4×D5312yes—
567C4⋊C4D4×D5312yes—
568C22⋊C4—24no—
569C22⋊C4—534no—
570C22⋊C4—1064no—
571C22⋊C4—1062no—
572C22⋊C4—4241no—
573C22⋊C4—2122no—
574C22⋊C4—2122no—
575C42—1061no—
576C42—1061no—
577C42—1061no—
578C42—1061no—
579C42—4241no—
580C42—2122no—
581C42—2122no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—22no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23#1313317712yes—
594C23SD16×D5312yes—
595C23#1313323612yes—
596C23C2×D4×D5311yescharacteristic
597Q8—1062no—
598Q8—1062no—
599Q8—2121no—
600Q8—2121no—
601D4—22no—
602D4—22no—
603D4—48no—
604D4—41no—
605D4—41no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
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—532no—
623C2×C4—532no—
624C2×C4—1061no—
625C2×C4—1061no—
626C2×C4—1061no—
627C2×C4—1061no—
628C2×C4—1061no—
629C2×C4—1062no—
630C2×C4—1062no—
631C2×C4—1061no—
632C2×C4—1061no—
633C2×C4—1061no—
634C2×C4—1061no—
635C2×C4—1061no—
636C2×C4—1062no—
637C2×C4—4244no—
638C2×C4—4244no—
639C2×C4—2121no—
640C2×C4—2121no—
641C2×C4—2121no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4#1313317712yes—
649C2×C4C22×C4×D5311yescharacteristic
650C2×C4C2×D4×D5311yescharacteristic
651C2×C4#41×D5311yescharacteristic
652C2×C4C2×#1171994711yescharacteristic
653C2×C4#1313326211yescharacteristic
654C2×C4#1313326411yescharacteristic
655C8—41no—
656C8—41no—
657C8—534no—
658C8—1062no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—42no—
666C22—42no—
667C22—42no—
668C22—81no—
669C22—81no—
670C22—81no—
671C22—81no—
672C22#1681071414yescomplemented
673C22C2×#1313317711yescharacteristic
674C22#1681125511yescharacteristic
675C22#1681127111yescharacteristic
676C22C2×SD16×D5311yescharacteristic
677C22C2×#1313323611yescharacteristic
678C22#1681143211yescharacteristic
679C22#1681143311yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—81no—
684C4—1062no—
685C4—1062no—
686C4—4241no—
687C4—2121no—
688C4—2122no—
689C4—2122no—
690C4—2121no—
691C4—2122no—
692C4C4×D4×D5311yescharacteristic
693C4#1681110211yescharacteristic
694C4#1681127911yescharacteristic
695C4#1681131611yescharacteristic
696C2—24no—
697C2—82no—
698C2#2027772611yescharacteristic
699C2C2×#1681071411yescharacteristic
700C2#2028359411yescharacteristic
701C2#2028640411yescharacteristic
702C2#2028642611yescharacteristic
703C2#2028707011yescharacteristic
704C2#2028709811yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1874C2
socleC23×C53C22×D4
prime radicalC2×#121×C53C22
cosocleC22×C4×C53C24
hypercenter#1874D53
hypocenterC53#23022
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1874

Complements

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

NH ≅ G/Ntype
2. C2×#16810714C2semidirect
3. C22×#13133148C2semidirect
5. #20277720C2semidirect
6. #20275570C2semidirect
7. #20275442C2semidirect
8. #20275347C2semidirect
9. #20275345C2semidirect
10. #20275020C2semidirect
11. #20274984C2semidirect
12. #20274974C2semidirect
13. #20274603C2semidirect
14. #20274489C2semidirect
23. #16810850C4semidirect
67. C2×#11719923C2×C4semidirect
70. C22×#88322C2×C4semidirect
74. #13133196C2×C4semidirect
104. #13133148C2×C4semidirect
105. #13133148D4semidirect
108. #13133140C2×C4semidirect
109. #13133138C2×C4semidirect
202. C22⋊Dic53SD16semidirect
305. #88322C4×D4semidirect
320. C22×C53C4×SD16semidirect
414. C53#23022semidirect
672. C22#16810714semidirect

Maximal subgroups

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

subgroupindex
C2×#168108502
C2×#168107142
C22×#131331482
#202777352
#202777202
#202755702
#202754422
#202753472
#202753452
#202750202
#202749842
#202749742
#202746032
#202744892
C53×#18742
#2302253