Finite Group Databasebeta

← #27390707

Subgroups — #27390707

Order 13568.

1010 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810724C211yesmaximal, characteristic, complemented
2C2×#16810578C211yesmaximal, characteristic, complemented
3#20277410C211yesmaximal, characteristic
4#20277399C211yesmaximal, characteristic, complemented
5#20275598C211yesmaximal, characteristic, complemented
6#20275459C211yesmaximal, characteristic, complemented
7#20275400C211yesmaximal, characteristic, complemented
8#20275393C211yesmaximal, characteristic, complemented
9#20275154C211yesmaximal, characteristic
10#20275149C211yesmaximal, characteristic, complemented
11#20274744C211yesmaximal, characteristic, complemented
12#20274615C211yesmaximal, characteristic, complemented
13#103×Dic53C211yesmaximal, characteristic, complemented
14#102×Dic53C211yesmaximal, characteristic, complemented
15C2×C53×#465C211yesmaximal, characteristic
16C22×#11719917C2211yescharacteristic
17C2×Q8×Dic53C2211yescharacteristic
18C2×D4×Dic53C2211yescharacteristic
19C2×#13133176C2211yescharacteristic
20#16810724—24no—
21C2×#13133151C2211yescharacteristic
22C2×#13133151C2211yescharacteristic
23C2×#13133141C2211yescharacteristic
24C2×#13133141C2211yescharacteristic
25C2×#13133138C2211yescharacteristic
26C2×#13133138C2211yescharacteristic
27#16810578—24no—
28C2×#13133127C2211yescharacteristic
29C2×#13133127C2211yescharacteristic
30C2×C8×Dic53C2211yescharacteristic
31C2×C8×Dic53C2211yescharacteristic
32#16810530C2211yescharacteristic
33#16810526—21no—
34#16810526C2211yescharacteristic
35#16810522—21no—
36#16810522C2211yescharacteristic
37#16810522C2211yescharacteristic
38#16810516—21no—
39#16810516—21no—
40#16810516—21no—
41#16810509—21no—
42#16810503—21no—
43#16810498—21no—
44#16810483C2211yescharacteristic
45#16810483C2211yescharacteristic
46C4⋊C4×Dic53C2211yescharacteristic
47C4⋊C4×Dic53C2211yescharacteristic
48#16810386C2211yescharacteristic
49#16810386C2211yescharacteristic
50#16810385C2211yescharacteristic
51#16810385C2211yescharacteristic
52#16810385C2211yescharacteristic
53#16810385C2211yescharacteristic
54C22×SD16×C53C2211yescharacteristic
55C23×C8×C53C2211yescharacteristic
56C2×C22⋊Q8×C53C2211yescharacteristic
57C2×#121×C53C2211yescharacteristic
58C53×#465C418yescomplemented
59C2×#106×C53C2211yescharacteristic
60C2×#103×C53C2211yescharacteristic
61C2×#102×C53C2211yescharacteristic
62C23×Dic53—21no—
63C2×#11719917—22no—
64C2×#11719917—22no—
65C2×#11719917—22no—
66C22×#88322C2311yescharacteristic
67C22×#88322C2311yescharacteristic
68Q8×Dic53—22no—
69Q8×Dic53—22no—
70D4×Dic53—22no—
71D4×Dic53—22no—
72#13133176—22no—
73#13133176—22no—
74C2×C4⋊Dic53—21no—
75C2×C4⋊Dic53—21no—
76C2×C4⋊Dic53—21no—
77C2×C4⋊Dic53D411yescharacteristic
78C2×C4⋊Dic53D411yescharacteristic
79C2×C4⋊Dic53C2311yescharacteristic
80C2×C4⋊Dic53C2311yescharacteristic
81C2×C4⋊Dic53C2311yescharacteristic
82C2×C4⋊Dic53C2311yescharacteristic
83C2×C22⋊Dic53—21no—
84C2×C22⋊Dic53—21no—
85C2×C22⋊Dic53—21no—
86C2×C22⋊Dic53—21no—
87C2×C22⋊Dic53—21no—
88C2×C22⋊Dic53D411yescharacteristic
89C2×C22⋊Dic53D411yescharacteristic
90C2×C4×Dic53—21no—
91C2×C4×Dic53—21no—
92C2×C4×Dic53—21no—
93C2×C4×Dic53C2311yescharacteristic
94C2×C4×Dic53C2311yescharacteristic
95#13133151—22no—
96#13133151—22no—
97#13133141—22no—
98#13133141—22no—
99#13133138—22no—
100#13133138—22no—
101#13133127—22no—
102#13133127D414yescomplemented
103C8×Dic53—22no—
104C8×Dic53—22no—
105#13133124—21no—
106#13133124—21no—
107#13133124—21no—
108#13133124—21no—
109#13133124—21no—
110#13133124—21no—
111#13133124—21no—
112#13133124—21no—
113C22×Q8×C53C2311yescharacteristic
114C22×D4×C53—21no—
115C22×D4×C53C2311yescharacteristic
116C23×C4×C53C2311yescharacteristic
117C2×SD16×C53—22no—
118C2×SD16×C53—22no—
119C2×SD16×C53C2×C414yes—
120C22×C8×C53—22no—
121C22×C8×C53—22no—
122C22×C8×C53C2×C414yescomplemented
123C22×C8×C53C2311yescharacteristic
124C22×C8×C53C2311yescharacteristic
125C22⋊Q8×C53—22no—
126C22⋊Q8×C53C2×C414yescomplemented
127#121×C53—22no—
128#121×C53C2×C414yes—
129C2×C4⋊C4×C53—21no—
130C2×C4⋊C4×C53C2311yescharacteristic
131C2×C4⋊C4×C53C2311yescharacteristic
132C2×C22⋊C4×C53—21no—
133C2×C22⋊C4×C53—21no—
134#106×C53C2×C414yescomplemented
135#103×C53C2×C414yescomplemented
136#102×C53C2×C414yes—
137C24×C53—21no—
138C24×C53C2×D411yescharacteristic
139C2×Q8×C53—21no—
140C2×Q8×C53—21no—
141C2×Q8×C53—21no—
142C2×Q8×C53—21no—
143C2×Q8×C53—21no—
144C2×Q8×C53C22×C412yes—
145C2×D4×C53—24no—
146C2×D4×C53—21no—
147C2×D4×C53—21no—
148C2×D4×C53—21no—
149C2×D4×C53—21no—
150C2×D4×C53—21no—
151C2×D4×C53—81no—
152C2×D4×C53—81no—
153C2×D4×C53C22×C412yes—
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—21no—
161C22×C4×C53C22×C412yes—
162C22×C4×C53C2×D411yescharacteristic
163C22×C4×C53#4112yes—
164C22×C4×C53C2411yescharacteristic
165C22×Dic53—21no—
166C22×Dic53—21no—
167C22×Dic53—21no—
168C22×Dic53—21no—
169C22×Dic53—42no—
170C22×Dic53—81no—
171C22×Dic53—81no—
172C22×Dic53C2×D411yescharacteristic
173C22×Dic53C2×D411yescharacteristic
174C22×Dic53C2×D411yescharacteristic
175C22×Dic53C2×D411yescharacteristic
176SD16×C53—28no—
177C2×C8×C53—21no—
178C2×C8×C53—21no—
179C2×C8×C53—28no—
180C2×C8×C53C22×C412yes—
181C2×C8×C53C22×C412yes—
182C2×C8×C53C2×D412yes—
183C2×C8×C53#4112yes—
184C4⋊C4×C53—24no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—21no—
187C4⋊C4×C53C22×C412yes—
188C4⋊C4×C53C22×C412yes—
189C22⋊C4×C53—24no—
190C22⋊C4×C53—24no—
191C22⋊Dic53—22no—
192C22⋊Dic53—22no—
193C22⋊Dic53—42no—
194C22⋊Dic53—81no—
195C22⋊Dic53—81no—
196C22⋊Dic53—81no—
197C22⋊Dic53—81no—
198C4⋊Dic53—22no—
199C4⋊Dic53—22no—
200C4⋊Dic53—21no—
201C4⋊Dic53—21no—
202C4⋊Dic53—21no—
203C4⋊Dic53—21no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—42no—
209C4⋊Dic53—81no—
210C4⋊Dic53—81no—
211C4×Dic53—21no—
212C4×Dic53—21no—
213C4×Dic53—42no—
214C4×Dic53—81no—
215C4×Dic53—81no—
216C4×Dic53C2×D412yes—
217C4×Dic53#4112yes—
218#11719917—28no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322C2×D412yes—
224C2×#88322#4112yes—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—22no—
232C23×C53—41no—
233C23×C53—41no—
234C23×C53—41no—
235C23×C53—41no—
236C23×C53—41no—
237C23×C53—41no—
238C23×C53C4×D412yes—
239C23×C53C22×D411yescharacteristic
240Q8×C53—22no—
241Q8×C53—22no—
242Q8×C53—41no—
243Q8×C53—41no—
244D4×C53—22no—
245D4×C53—22no—
246D4×C53—41no—
247D4×C53—41no—
248D4×C53—84no—
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—22no—
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×C53C4×D412yes—
265C2×C4×C53C23×C411yescharacteristic
266C2×C4×C53C22×D411yescharacteristic
267C2×C4×C53C2×#4111yescharacteristic
268C2×C4×C53C2×#4111yescharacteristic
269C2×C4×C53C2×#4111yescharacteristic
270C2×C4×C53C2×#4111yescharacteristic
271C2×Dic53—21no—
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—21no—
275C2×Dic53—21no—
276C2×Dic53—21no—
277C2×Dic53—21no—
278C2×Dic53—21no—
279C2×Dic53—21no—
280C2×Dic53—21no—
281C2×Dic53—41no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—41no—
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—84no—
294C2×Dic53#12112yes—
295C2×Dic53#12112yes—
296C8×C53—22no—
297C8×C53C4×D414yes—
298#88322—22no—
299#88322—22no—
300#21531—531nomaximal, Sylow
301C22×C53—22no—
302C22×C53—22no—
303C22×C53—22no—
304C22×C53—41no—
305C22×C53—41no—
306C22×C53—41no—
307C22×C53—41no—
308C22×C53—42no—
309C22×C53—42no—
310C22×C53—42no—
311C22×C53—81no—
312C22×C53—81no—
313C22×C53—81no—
314C22×C53—81no—
315C22×C53C2×C4×D411yescharacteristic
316C22×C53C2×#12111yescharacteristic
317C22×C53#53211yescharacteristic
318C22×C53#57611yescharacteristic
319C22×C53#57711yescharacteristic
320C22×C53#57711yescharacteristic
321C22×C53#57811yescharacteristic
322C4×C53—22no—
323C4×C53—42no—
324C4×C53—42no—
325C4×C53—42no—
326C4×C53C2×C4×D411yescharacteristic
327C4×C53C4×#4111yescharacteristic
328C4×C53#52511yescharacteristic
329C4×C53#52911yescharacteristic
330Dic53—22no—
331Dic53—22no—
332Dic53—41no—
333Dic53—41no—
334Dic53—81no—
335Dic53—81no—
336Dic53—81no—
337Dic53—81no—
338C2×#465D5311yescharacteristic
339C2×#440—531no—
340C2×#405—531no—
341#2324—531no—
342#2323—531no—
343#1973—531no—
344#1944—531no—
345#1934—531no—
346#1933—531no—
347#1895—531no—
348#1894—531no—
349#1808—531no—
350#1776—531no—
351C4×#103—531no—
352C4×#102—531no—
353C2×C53—42no—
354C2×C53—82no—
355C2×C53C4×#12111yescharacteristic
356C2×C53#294911yescharacteristic
357C2×C53#295111yescharacteristic
358C2×C53#306211yescharacteristic
359C2×C53#306311yescharacteristic
360C2×C53#317811yescharacteristic
361C2×C53#317911yescharacteristic
362C22×SD16C2×D5311yescharacteristic
363C22×M16—531no—
364C23×C8C2×D5311yescharacteristic
365C2×C22⋊Q8C2×D5311yescharacteristic
366C2×#121C2×D5311yescharacteristic
367C2×C4×Q8—531no—
368C2×C4×D4—531no—
369C2×#117—531no—
370#465Dic5318yescomplemented
371#440—1064no—
372C2×#107—531no—
373C2×#107—531no—
374C2×#106C2×D5311yescharacteristic
375C2×#103—531no—
376C2×#103—531no—
377C2×#103C2×D5311yescharacteristic
378C2×#102—531no—
379C2×#102—531no—
380C2×#102C2×D5311yescharacteristic
381#405—1064no—
382C2×#97—531no—
383C2×#97—531no—
384C2×C4×C8—531no—
385C2×C4×C8—531no—
386#391—531no—
387#390—531no—
388#390—1061no—
389#389—531no—
390#389—531no—
391#389—1061no—
392#388—1061no—
393#388—1061no—
394#388—1061no—
395#387—1061no—
396#386—1061no—
397#385—1061no—
398#380—531no—
399#380—531no—
400C4×C4⋊C4—531no—
401C4×C4⋊C4—531no—
402#340—531no—
403#340—531no—
404#340—531no—
405#340—531no—
406#340—531no—
407#340—531no—
408C53#2153111yescharacteristic, complemented, Sylow
409C22×Q8C22×D5311yescharacteristic
410C22×D4—21no—
411C22×D4C22×D5311yescharacteristic
412C23×C4—1061no—
413C23×C4C22×D5311yescharacteristic
414C2×SD16—22no—
415C2×SD16—22no—
416C2×SD16C2×Dic5314yes—
417C2×M16—1062no—
418C2×M16—1062no—
419C2×M16—1062no—
420C22×C8—22no—
421C22×C8—22no—
422C22×C8—531no—
423C22×C8—531no—
424C22×C8C2×Dic5314yescomplemented
425C22×C8C22×D5311yescharacteristic
426C22×C8C22×D5311yescharacteristic
427C22⋊Q8—22no—
428C22⋊Q8C2×Dic5314yescomplemented
429#121—22no—
430#121C2×Dic5314yes—
431C4×Q8—1062no—
432C4×Q8—1062no—
433C4×D4—1062no—
434C4×D4—1062no—
435#117—1062no—
436#117—1062no—
437C2×C4⋊C4—21no—
438C2×C4⋊C4—531no—
439C2×C4⋊C4—531no—
440C2×C4⋊C4—531no—
441C2×C4⋊C4—531no—
442C2×C4⋊C4—531no—
443C2×C4⋊C4—531no—
444C2×C4⋊C4—1061no—
445C2×C4⋊C4—1061no—
446C2×C4⋊C4—1061no—
447C2×C4⋊C4C22×D5311yescharacteristic
448C2×C4⋊C4C22×D5311yescharacteristic
449C2×C22⋊C4—21no—
450C2×C22⋊C4—21no—
451C2×C22⋊C4—531no—
452C2×C22⋊C4—531no—
453C2×C22⋊C4—1061no—
454C2×C22⋊C4—1061no—
455C2×C22⋊C4—1061no—
456C2×C22⋊C4—1061no—
457C2×C22⋊C4—1061no—
458C2×C42—531no—
459C2×C42—531no—
460C2×C42—1061no—
461C2×C42—1061no—
462C2×C42—1061no—
463#107—1062no—
464#107—1062no—
465#106C2×Dic5314yescomplemented
466#103—1062no—
467#103—1062no—
468#103C2×Dic5314yescomplemented
469#102—1062no—
470#102—1062no—
471#102C2×Dic5314yes—
472#97—534no—
473#97—1062no—
474C4×C8—1062no—
475C4×C8—1062no—
476#95—1061no—
477#95—1061no—
478#95—1061no—
479#95—1061no—
480#95—1061no—
481#95—1061no—
482#95—1061no—
483#95—1061no—
484C24—21no—
485C24D4×D5311yescharacteristic
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8C22×Dic5312yes—
492C2×D4—24no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—81no—
499C2×D4—81no—
500C2×D4C22×Dic5312yes—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—531no—
509C22×C4—531no—
510C22×C4—531no—
511C22×C4—531no—
512C22×C4—1061no—
513C22×C4—1061no—
514C22×C4—1061no—
515C22×C4—1061no—
516C22×C4—4241no—
517C22×C4—4241no—
518C22×C4—2122no—
519C22×C4D4×D5311yescharacteristic
520C22×C4#1171994712yes—
521C22×C4C22×Dic5312yes—
522C22×C4C23×D5311yescharacteristic
523SD16—28no—
524M16—1068no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—28no—
528C2×C8—532no—
529C2×C8—532no—
530C2×C8—1061no—
531C2×C8—1061no—
532C2×C8—1061no—
533C2×C8—1061no—
534C2×C8D4×D5312yes—
535C2×C8#1171994712yes—
536C2×C8C22×Dic5312yes—
537C2×C8C22×Dic5312yes—
538C4⋊C4—24no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—1062no—
542C4⋊C4—1062no—
543C4⋊C4—1061no—
544C4⋊C4—1061no—
545C4⋊C4—1061no—
546C4⋊C4—1061no—
547C4⋊C4—1061no—
548C4⋊C4—1061no—
549C4⋊C4—1061no—
550C4⋊C4—1061no—
551C4⋊C4—4241no—
552C4⋊C4—4241no—
553C4⋊C4—2122no—
554C4⋊C4C22×Dic5312yes—
555C4⋊C4C22×Dic5312yes—
556C22⋊C4—24no—
557C22⋊C4—24no—
558C22⋊C4—1062no—
559C22⋊C4—1062no—
560C22⋊C4—4241no—
561C22⋊C4—4241no—
562C22⋊C4—4241no—
563C22⋊C4—4241no—
564C22⋊C4—2122no—
565C42—532no—
566C42—532no—
567C42—1061no—
568C42—1061no—
569C42—4241no—
570C42—4241no—
571C42—2122no—
572C23—21no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23D4×Dic5312yes—
586C23C2×D4×D5311yescharacteristic
587Q8—22no—
588Q8—22no—
589Q8—41no—
590Q8—41no—
591D4—22no—
592D4—22no—
593D4—41no—
594D4—41no—
595D4—84no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—532no—
612C2×C4—532no—
613C2×C4—1061no—
614C2×C4—1061no—
615C2×C4—1061no—
616C2×C4—1061no—
617C2×C4—1061no—
618C2×C4—1061no—
619C2×C4—1061no—
620C2×C4—1061no—
621C2×C4—1061no—
622C2×C4—1061no—
623C2×C4—4244no—
624C2×C4—2121no—
625C2×C4—2121no—
626C2×C4—2121no—
627C2×C4—2121no—
628C2×C4—2121no—
629C2×C4—2121no—
630C2×C4—2121no—
631C2×C4—2121no—
632C2×C4—2121no—
633C2×C4—2121no—
634C2×C4—2121no—
635C2×C4—2121no—
636C2×C4D4×Dic5312yes—
637C2×C4C23×Dic5311yescharacteristic
638C2×C4C2×D4×D5311yescharacteristic
639C2×C4#41×D5311yescharacteristic
640C2×C4#41×D5311yescharacteristic
641C2×C4C2×#1171994711yescharacteristic
642C2×C4C2×#1171994711yescharacteristic
643C8—22no—
644C8—1062no—
645C8—1062no—
646C8D4×Dic5314yes—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—41no—
651C22—41no—
652C22—41no—
653C22—41no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22C2×D4×Dic5311yescharacteristic
662C22#121×D5311yescharacteristic
663C22#1681116811yescharacteristic
664C22#1681142511yescharacteristic
665C22#1681142911yescharacteristic
666C22#1681142911yescharacteristic
667C22#1681143711yescharacteristic
668C4—22no—
669C4—42no—
670C4—42no—
671C4—42no—
672C4—1062no—
673C4—1062no—
674C4—4241no—
675C4—4241no—
676C4—4241no—
677C4—4241no—
678C4—2121no—
679C4—2121no—
680C4C2×D4×Dic5311yescharacteristic
681C4#41×Dic5311yescharacteristic
682C4#1681113311yescharacteristic
683C4#1681115411yescharacteristic
684C2—42no—
685C2—82no—
686C2#121×Dic5311yescharacteristic
687C2#2028357511yescharacteristic
688C2#2028359111yescharacteristic
689C2#2028438811yescharacteristic
690C2#2028439911yescharacteristic
691C2#2028537811yescharacteristic
692C2#2028539311yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC2×C53×#465C2
socleC23×C53C22×D4
prime radicalC2×#121×C53C22
cosocleC22×C4×C53C24
hypercenterC2×#465D53
hypocenterC53#21531
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#465

Complements

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

NH ≅ G/Ntype
1. C2×#16810724C2semidirect
2. C2×#16810578C2semidirect
4. #20277399C2semidirect
5. #20275598C2semidirect
6. #20275459C2semidirect
7. #20275400C2semidirect
8. #20275393C2semidirect
10. #20275149C2semidirect
11. #20274744C2semidirect
12. #20274615C2semidirect
13. #103×Dic53C2semidirect
14. #102×Dic53C2semidirect
58. C53×#465C4semidirect
102. #13133127D4semidirect
122. C22×C8×C53C2×C4semidirect
126. C22⋊Q8×C53C2×C4semidirect
134. #106×C53C2×C4semidirect
135. #103×C53C2×C4semidirect
370. #465Dic53semidirect
408. C53#21531semidirect
424. C22×C8C2×Dic53semidirect
428. C22⋊Q8C2×Dic53semidirect
465. #106C2×Dic53semidirect
468. #103C2×Dic53semidirect

Maximal subgroups

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

subgroupindex
C2×#168107242
C2×#168105782
#202774102
#202773992
#202755982
#202754592
#202754002
#202753932
#202751542
#202751492
#202747442
#202746152
#103×Dic532
#102×Dic532
C2×C53×#4652
#2153153