Finite Group Databasebeta

← #27402482

Subgroups — #27402482

Order 13568.

1134 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#11719922C211yesmaximal, characteristic
2C2×#16810703C211yesmaximal, characteristic
3C2×#16810703C211yesmaximal, characteristic
4#20277616C211yesmaximal, characteristic, complemented
5D4×#11719919C211yesmaximal, characteristic, complemented
6#20275447C211yesmaximal, characteristic, complemented
7#20275445C211yesmaximal, characteristic, complemented
8#20274965C211yesmaximal, characteristic, complemented
9#20274964C211yesmaximal, characteristic, complemented
10#20274959C211yesmaximal, characteristic, complemented
11#20274873C211yesmaximal, characteristic, complemented
12#20274714C211yesmaximal, characteristic, complemented
13#20274713C211yesmaximal, characteristic, complemented
14#20274576C211yesmaximal, characteristic, complemented
15C53×#1862C211yesmaximal, characteristic, complemented
16C22×#11719922C2211yescharacteristic
17C2×C4×D212C2211yescharacteristic
18C2×D4×Dic53C2211yescharacteristic
19C2×D4×Dic53C2211yescharacteristic
20C2×#13133179C2211yescharacteristic
21C2×#13133179C2211yescharacteristic
22C22×#11719919—21no—
23C2×C4⋊C4×D53—21no—
24C4×#11719922—24no—
25#16810703—24no—
26#16810703C418yescomplemented
27C2×#13133151C2211yescharacteristic
28C2×#13133150C2211yescharacteristic
29C2×#13133150C2211yescharacteristic
30C2×#13133150C2211yescharacteristic
31C2×#13133146C2211yescharacteristic
32C2×#13133139C2211yescharacteristic
33C2×#13133139C2211yescharacteristic
34C2×#13133138C2211yescharacteristic
35C2×#13133137C2211yescharacteristic
36C2×C4×#88322C2211yescharacteristic
37C2×C8×Dic53C2211yescharacteristic
38C2×C8×Dic53C2211yescharacteristic
39#16810522C2211yescharacteristic
40#16810521C2211yescharacteristic
41#16810519C2211yescharacteristic
42#16810497—21no—
43#16810496—21no—
44#16810495—21no—
45#16810494—21no—
46#16810492C2211yescharacteristic
47#16810492C2211yescharacteristic
48#16810482—21no—
49#16810481—21no—
50C4×#11719919C2211yescharacteristic
51#16810386C2211yescharacteristic
52#16810385C2211yescharacteristic
53#16810385C2211yescharacteristic
54#16810377C2211yescharacteristic
55C2×C4×D4×C53C2211yescharacteristic
56C2×#107×C53C2211yescharacteristic
57C2×#102×C53C2211yescharacteristic
58C2×#102×C53C2211yescharacteristic
59C53×#389C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#336C2211yescharacteristic
62C22×D212C2311yescharacteristic
63C23×Dic53—21no—
64C23×Dic53—21no—
65C22×C4×D53—21no—
66C22×C4×D53—21no—
67C22×C4×D53—21no—
68C2×#11719922C2×C414yes—
69C2×#11719922D414yes—
70C2×#11719922Q814yes—
71C22×#88322C2311yescharacteristic
72C22×#88322C2311yescharacteristic
73C4×D212—22no—
74C4×D212—41no—
75D4×Dic53—22no—
76D4×Dic53—22no—
77D4×Dic53—41no—
78D4×Dic53C2×C414yescomplemented
79#13133179—22no—
80#13133179—22no—
81#13133179—41no—
82#13133179C2×C414yescomplemented
83C2×C4⋊Dic53—21no—
84C2×C4⋊Dic53C2311yescharacteristic
85C2×C4⋊Dic53C2311yescharacteristic
86C2×C4⋊Dic53C2311yescharacteristic
87C2×#11719919—21no—
88C2×#11719919—21no—
89C2×#11719919—21no—
90C2×#11719919—21no—
91C2×#11719919—21no—
92C2×#11719919—21no—
93C2×#11719919—44no—
94C2×#11719919D411yescharacteristic
95C2×#11719919D411yescharacteristic
96C4⋊C4×D53—44no—
97C2×C22⋊Dic53—21no—
98C2×C22⋊Dic53—21no—
99C2×#11719921—21no—
100C2×#11719921—21no—
101C2×#11719921—21no—
102C2×C4×Dic53C2311yescharacteristic
103C2×C4×Dic53C2311yescharacteristic
104#13133151—41no—
105#13133150—22no—
106#13133150—22no—
107#13133150C2×C414yescomplemented
108#13133146—22no—
109#13133139—22no—
110#13133139C2×C414yescomplemented
111#13133138—22no—
112#13133137—22no—
113C4×#88322—22no—
114C8×Dic53—22no—
115C8×Dic53C2×C414yescomplemented
116#13133124—21no—
117#13133124—21no—
118#13133124—21no—
119#13133124D411yescharacteristic
120#13133124D411yescharacteristic
121C22×D4×C53C2311yescharacteristic
122C23×C4×C53—21no—
123C22×C8×C53C2311yescharacteristic
124C22×C8×C53C2311yescharacteristic
125C4×D4×C53—22no—
126C4×D4×C53—41no—
127C2×C4⋊C4×C53—21no—
128C2×C4⋊C4×C53C2311yescharacteristic
129C2×C4⋊C4×C53C2311yescharacteristic
130C2×C4⋊C4×C53C2311yescharacteristic
131C2×C22⋊C4×C53—21no—
132C2×C42×C53C2311yescharacteristic
133#107×C53—41no—
134#102×C53—22no—
135#102×C53C2×C414yescomplemented
136#95×C53—21no—
137C24×C53—21no—
138C23×D53—21no—
139C2×D4×C53—21no—
140C2×D4×C53—21no—
141C2×D4×C53—21no—
142C2×D4×C53C22×C412yes—
143C2×D4×C53C2×D412yes—
144C2×D4×C53C2×Q812yes—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—42no—
149C22×C4×C53—42no—
150C22×C4×C53—81no—
151C22×C4×C53C2×D411yescharacteristic
152C22×C4×C53C2×D411yescharacteristic
153C22×C4×C53C2411yescharacteristic
154C22×Dic53—21no—
155C22×Dic53—24no—
156C22×Dic53—21no—
157C22×Dic53—21no—
158C22×Dic53—42no—
159C22×Dic53—42no—
160C22×Dic53—42no—
161C22×Dic53—42no—
162C22×Dic53—81no—
163C22×Dic53C2×D411yescharacteristic
164C22×Dic53C2×D411yescharacteristic
165C22×Dic53C2×D411yescharacteristic
166C22×Dic53C2×D411yescharacteristic
167C2×D212—21no—
168C2×D212—21no—
169C2×D212—21no—
170C2×D212C22×C412yes—
171C2×D212C2×D412yes—
172C2×D212C2×Q812yes—
173C2×C4×D53—24no—
174C2×C4×D53—42no—
175C2×C4×D53—42no—
176C2×C4×D53—42no—
177C2×C4×D53—42no—
178C2×C4×D53—42no—
179C2×C4×D53—42no—
180C2×C4×D53—81no—
181C2×C4×D53—81no—
182C2×C8×C53—21no—
183C2×C8×C53—21no—
184C2×C8×C53—21no—
185C2×C8×C53—21no—
186C2×C8×C53—21no—
187C2×C8×C53C22×C412yes—
188C4⋊C4×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—
195C22⋊C4×C53—42no—
196C42×C53—21no—
197C42×C53—21no—
198C22⋊Dic53—24no—
199C22⋊Dic53—42no—
200#11719922C4⋊C4116yescomplemented
201#11719921—24no—
202#11719921—42no—
203#11719921—42no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—21no—
209C4⋊Dic53—42no—
210C4⋊Dic53C22×C412yes—
211#11719919—22no—
212#11719919—42no—
213#11719919—42no—
214#11719919—42no—
215#11719919—42no—
216#11719919—81no—
217#11719919—81no—
218#11719919D814yescomplemented
219C4×Dic53—21no—
220C4×Dic53—21no—
221C4×Dic53C22×C412yes—
222C4×Dic53#4112yes—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322C22×C412yes—
227C2×#88322C2×D412yes—
228C2×#88322C2×Q812yes—
229C23×C53—22no—
230C23×C53—22no—
231C23×C53—22no—
232C23×C53—41no—
233C23×C53—41no—
234C23×C53—41no—
235C23×C53—41no—
236C23×C53C22×D411yescharacteristic
237C22×D53—22no—
238C22×D53—22no—
239C22×D53—22no—
240C22×D53—41no—
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244D4×C53—22no—
245D4×C53—22no—
246D4×C53—22no—
247D4×C53C2×C4⋊C414yescomplemented
248C2×C4×C53—21no—
249C2×C4×C53—21no—
250C2×C4×C53—22no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—41no—
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—84no—
263C2×C4×C53C2×D812yes—
264C2×C4×C53C23×C411yescharacteristic
265C2×C4×C53C22×D411yescharacteristic
266C2×C4×C53C22×Q811yescharacteristic
267C2×C4×C53C2×#4111yescharacteristic
268C2×C4×C53H(5,𝔽2)11yescharacteristic
269C2×C4×C532−1+411yescharacteristic
270C2×Dic53—21no—
271C2×Dic53—21no—
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—22no—
275C2×Dic53—21no—
276C2×Dic53—21no—
277C2×Dic53—21no—
278C2×Dic53—41no—
279C2×Dic53—41no—
280C2×Dic53—48no—
281C2×Dic53—41no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—84no—
288C2×Dic53C4×D412yes—
289C2×Dic53C4×D412yes—
290C2×Dic53C2×D812yes—
291C2×Dic53C2×D812yes—
292C2×Dic53#13512yes—
293D212—22no—
294D212—22no—
295D212—22no—
296D212C2×C4⋊C414yescomplemented
297C4×D53—48no—
298C4×D53—84no—
299C4×D53—84no—
300C8×C53—22no—
301C8×C53—41no—
302#88322—41no—
303#88322C2×C4⋊C414yescomplemented
304C4⋊C4×D8—531nomaximal, Sylow
305C22×C53—24no—
306C22×C53—42no—
307C22×C53—42no—
308C22×C53—42no—
309C22×C53—42no—
310C22×C53—42no—
311C22×C53—42no—
312C22×C53C2×C4×D411yescharacteristic
313C22×C53D4211yescharacteristic
314C22×C53D4×Q811yescharacteristic
315C22×C53C22×D811yescharacteristic
316C22×C53C2×#13511yescharacteristic
317C22×C53#57611yescharacteristic
318C22×C53#57811yescharacteristic
319C2×D53—24no—
320C2×D53—42no—
321C2×D53—42no—
322C2×D53—42no—
323C2×D53—42no—
324C2×D53—42no—
325C2×D53—42no—
326C4×C53—22no—
327C4×C53—42no—
328C4×C53—41no—
329C4×C53—81no—
330C4×C53—81no—
331C4×C53C22×C4⋊C411yescharacteristic
332C4×C53#52011yescharacteristic
333C4×C53#54711yescharacteristic
334C4×C53#55411yescharacteristic
335Dic53—22no—
336Dic53—22no—
337Dic53—42no—
338Dic53—41no—
339Dic53—81no—
340Dic53—81no—
341Dic53C4×D814yescomplemented
342C2×C4×D8—531no—
343C2×C4×D8—531no—
344C2×C4×D8—531no—
345D4×C4⋊C4—531no—
346D4×C4⋊C4—531no—
347#1942—531no—
348#1942—531no—
349#1862—531no—
350#1862—531no—
351#1862—531no—
352#1862D5311yescharacteristic, complemented
353#1845—531no—
354#1802—531no—
355#1802—531no—
356C8×C4⋊C4—531no—
357C2×C53—44no—
358C2×C53D4×C4⋊C411yescharacteristic
359C2×C53C2×C4×D811yescharacteristic
360C2×C53#295111yescharacteristic
361C2×C53D4×D811yescharacteristic
362C2×C53#328311yescharacteristic
363C2×C53Q8×D811yescharacteristic
364C2×C53#338011yescharacteristic
365D53—44no—
366C22×D8—531no—
367C2×C4×D4—531no—
368C2×C4×D4—531no—
369C2×C4×D4—531no—
370C2×C4×D4—531no—
371C2×C4×D4—531no—
372C2×C4×D4C2×D5311yescharacteristic
373C22×C4⋊C4—1061no—
374C22×C4⋊C4—1061no—
375C4×D8—538no—
376C4×D8—1064no—
377C4×D8—1064no—
378C2×#107—531no—
379C2×#107—531no—
380C2×#107—531no—
381C2×#107—531no—
382C2×#107C2×D5311yescharacteristic
383C2×C4⋊C8—531no—
384C2×#102—531no—
385C2×#102—531no—
386C2×#102—531no—
387C2×#102—531no—
388C2×#102C2×D5311yescharacteristic
389C2×#102C2×D5311yescharacteristic
390C2×C4×C8—531no—
391C2×C4×C8—531no—
392C2×C4×C8—531no—
393#389—531no—
394#389—531no—
395#389—531no—
396#389C2×D5311yescharacteristic
397#385—1061no—
398#385—1061no—
399#385—1061no—
400#385—1061no—
401#384—531no—
402#384—531no—
403#380—1061no—
404#380—1061no—
405C4×C4⋊C4—531no—
406#340—531no—
407#340—531no—
408#340—531no—
409#340C2×D5311yescharacteristic
410#336—531no—
411#336C2×D5311yescharacteristic
412C53C4⋊C4×D811yescharacteristic, complemented, Sylow
413C22×D4—531no—
414C22×D4C22×D5311yescharacteristic
415C23×C4—21no—
416C23×C4—1061no—
417C23×C4—1061no—
418C23×C4—1061no—
419C23×C4—1061no—
420C23×C4—1061no—
421C2×D8—534no—
422C2×D8—534no—
423C2×D8—534no—
424C22×C8—531no—
425C22×C8—531no—
426C22×C8C22×D5311yescharacteristic
427C22×C8C22×D5311yescharacteristic
428C4×D4—22no—
429C4×D4—41no—
430C4×D4—534no—
431C4×D4—534no—
432C4×D4—1062no—
433C4×D4—1062no—
434C4×D4—1062no—
435C4×D4—1062no—
436C4×D4—1062no—
437C4×D4—2121no—
438C4×D4—2121no—
439C4×D4—2121no—
440C2×C4⋊C4—21no—
441C2×C4⋊C4—531no—
442C2×C4⋊C4—531no—
443C2×C4⋊C4—531no—
444C2×C4⋊C4—531no—
445C2×C4⋊C4—531no—
446C2×C4⋊C4—1061no—
447C2×C4⋊C4—1061no—
448C2×C4⋊C4—1061no—
449C2×C4⋊C4—1061no—
450C2×C4⋊C4—1061no—
451C2×C4⋊C4—1061no—
452C2×C4⋊C4—1061no—
453C2×C4⋊C4—2124no—
454C2×C4⋊C4—2124no—
455C2×C4⋊C4C22×D5311yescharacteristic
456C2×C4⋊C4C22×D5311yescharacteristic
457C2×C4⋊C4C22×D5311yescharacteristic
458C2×C22⋊C4—21no—
459C2×C22⋊C4—1061no—
460C2×C22⋊C4—1061no—
461C2×C22⋊C4—1061no—
462C2×C22⋊C4—1061no—
463C2×C22⋊C4—1061no—
464C2×C42—531no—
465C2×C42—531no—
466C2×C42C22×D5311yescharacteristic
467#107—41no—
468#107—534no—
469#107—1062no—
470#107—1062no—
471#107—2121no—
472C4⋊C8—1062no—
473#102—22no—
474#102—534no—
475#102—1062no—
476#102—1062no—
477#102—1062no—
478#102C4×D5314yescomplemented
479C4×C8—534no—
480C4×C8—1062no—
481C4×C8—1062no—
482#95—21no—
483#95—531no—
484#95—531no—
485#95—1061no—
486#95—1061no—
487#95—1061no—
488C24—21no—
489C24—1061no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—532no—
494C2×D4—532no—
495C2×D4—532no—
496C2×D4—1061no—
497C2×D4—1061no—
498C2×D4—1061no—
499C2×D4C2×C4×D5312yes—
500C2×D4D4×D5312yes—
501C2×D4Q8×D5312yes—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—81no—
508C22×C4—531no—
509C22×C4—531no—
510C22×C4—531no—
511C22×C4—531no—
512C22×C4—1064no—
513C22×C4—1064no—
514C22×C4—1061no—
515C22×C4—1061no—
516C22×C4—1061no—
517C22×C4—4241no—
518C22×C4—4241no—
519C22×C4—4241no—
520C22×C4—2122no—
521C22×C4—2122no—
522C22×C4—2122no—
523C22×C4—2122no—
524C22×C4—2122no—
525C22×C4—2122no—
526C22×C4—2122no—
527C22×C4—2122no—
528C22×C4—2122no—
529C22×C4—2122no—
530C22×C4D4×D5311yescharacteristic
531C22×C4D4×D5311yescharacteristic
532C22×C4C23×D5311yescharacteristic
533D8—5316no—
534C2×C8—21no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—532no—
540C2×C8—532no—
541C2×C8—532no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8C2×C4×D5312yes—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—42no—
552C4⋊C4—534no—
553C4⋊C4—532no—
554C4⋊C4—1062no—
555C4⋊C4—1061no—
556C4⋊C4—1061no—
557C4⋊C4—1061no—
558C4⋊C4—1061no—
559C4⋊C4—1061no—
560C4⋊C4—4241no—
561C4⋊C4—4241no—
562C4⋊C4—2122no—
563C4⋊C4—2122no—
564C4⋊C4—2122no—
565C4⋊C4—2122no—
566C4⋊C4—2122no—
567C4⋊C4C2×C4×D5312yes—
568C22⋊C4—42no—
569C22⋊C4—1064no—
570C22⋊C4—1064no—
571C22⋊C4—2122no—
572C22⋊C4—2122no—
573C22⋊C4—2122no—
574C42—21no—
575C42—21no—
576C42—532no—
577C42—532no—
578C42—1061no—
579C42—1061no—
580C23—22no—
581C23—22no—
582C23—22no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—1062no—
588C23—1062no—
589C23—1062no—
590C23—2121no—
591C23—2121no—
592C23—2121no—
593C23—2121no—
594C23C2×D4×D5311yescharacteristic
595D4—22no—
596D4—22no—
597D4—22no—
598D4—534no—
599D4—1062no—
600D4—1062no—
601D4—1062no—
602D4C4⋊C4×D5314yescomplemented
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—22no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—84no—
618C2×C4—532no—
619C2×C4—532no—
620C2×C4—532no—
621C2×C4—532no—
622C2×C4—532no—
623C2×C4—1061no—
624C2×C4—1061no—
625C2×C4—1061no—
626C2×C4—1061no—
627C2×C4—1062no—
628C2×C4—1061no—
629C2×C4—1061no—
630C2×C4—1061no—
631C2×C4—4244no—
632C2×C4—4244no—
633C2×C4—4244no—
634C2×C4—2128no—
635C2×C4—2128no—
636C2×C4—2121no—
637C2×C4—2121no—
638C2×C4—2121no—
639C2×C4—2121no—
640C2×C4—2121no—
641C2×C4—2121no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4D8×D5312yes—
645C2×C4C22×C4×D5311yescharacteristic
646C2×C4C2×D4×D5311yescharacteristic
647C2×C4C2×Q8×D5311yescharacteristic
648C2×C4#41×D5311yescharacteristic
649C2×C4#1313326211yescharacteristic
650C2×C4#1313326411yescharacteristic
651C8—22no—
652C8—41no—
653C8—534no—
654C8—2121no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—1064no—
663C22—2122no—
664C22—2122no—
665C22—2122no—
666C22—2122no—
667C22—2122no—
668C22—2122no—
669C22C4×D4×D5311yescharacteristic
670C22#1681125511yescharacteristic
671C22#1681128611yescharacteristic
672C22C2×D8×D5311yescharacteristic
673C22#135×D5311yescharacteristic
674C22#1681142711yescharacteristic
675C22#1681143911yescharacteristic
676C4—22no—
677C4—42no—
678C4—41no—
679C4—81no—
680C4—81no—
681C4—534no—
682C4—1062no—
683C4—1062no—
684C4—4241no—
685C4—4241no—
686C4—2122no—
687C4—2121no—
688C4C2×C4⋊C4×D5311yescharacteristic
689C4#1681110211yescharacteristic
690C4#1681127111yescharacteristic
691C4#1681132711yescharacteristic
692C2—44no—
693C2—2124no—
694C2#2027761311yescharacteristic
695C2C4×D8×D5311yescharacteristic
696C2#2028358711yescharacteristic
697C2#2028638511yescharacteristic
698C2#2028643011yescharacteristic
699C2#2028756511yescharacteristic
700C2#2028757711yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1862C2
socleC23×C53C22×D4
prime radicalC22×#11719922C22
cosocleC22×C4×C53C24
hypercenter#1862D53
hypocenterC53C4⋊C4×D8
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1862

Complements

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

NH ≅ G/Ntype
4. #20277616C2semidirect
5. D4×#11719919C2semidirect
6. #20275447C2semidirect
7. #20275445C2semidirect
8. #20274965C2semidirect
9. #20274964C2semidirect
10. #20274959C2semidirect
11. #20274873C2semidirect
12. #20274714C2semidirect
13. #20274713C2semidirect
14. #20274576C2semidirect
15. C53×#1862C2semidirect
26. #16810703C4semidirect
78. D4×Dic53C2×C4semidirect
82. #13133179C2×C4semidirect
107. #13133150C2×C4semidirect
110. #13133139C2×C4semidirect
115. C8×Dic53C2×C4semidirect
135. #102×C53C2×C4semidirect
200. #11719922C4⋊C4semidirect
218. #11719919D8semidirect
247. D4×C53C2×C4⋊C4semidirect
296. D212C2×C4⋊C4semidirect
303. #88322C2×C4⋊C4semidirect
341. Dic53C4×D8semidirect
352. #1862D53semidirect
412. C53C4⋊C4×D8semidirect
478. #102C4×D53semidirect
602. D4C4⋊C4×D53semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#117199222
C2×#168107032
#202776162
D4×#117199192
#202754472
#202754452
#202749652
#202749642
#202749592
#202748732
#202747142
#202747132
#202745762
C53×#18622
C4⋊C4×D853