Finite Group Databasebeta

← #27315431

Subgroups — #27315431

Order 13568.

2294 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13133203C211yesmaximal, characteristic
2C2×#16810527C212yesmaximal, complemented
3C2×#16810523C212yesmaximal
4C2×#16810487C211yesmaximal, characteristic, complemented
5C2×C42×Dic53C211yesmaximal, characteristic, complemented
6#20272953C211yesmaximal, characteristic, complemented
7#20272952C212yesmaximal, complemented
8#20272952C211yesmaximal, characteristic, complemented
9#20272951C211yesmaximal, characteristic, complemented
10#20272951C212yesmaximal, complemented
11C53×#1437C211yesmaximal, characteristic, complemented
12C23×Dic106C2211yescharacteristic
13C23×C22⋊D53C2211yescharacteristic
14C2×#13133203—24no—
15C2×#13133203—24no—
16C2×#13133203C418yescomplemented
17C22×#11719919C2212yes—
18C22×C22⋊Dic53C2212yes—
19C22×C22⋊Dic53C2211yescharacteristic
20C22×#11719921C2212yes—
21C22×#11719921C2212yes—
22C22×#11719921C2211yescharacteristic
23C22×#11719921C2211yescharacteristic
24C22×C4×Dic53C2211yescharacteristic
25C22×C4×Dic53C2212yes—
26C22×C4×Dic53C2212yes—
27C22×C4×Dic53C2211yescharacteristic
28#16810527—28no—
29#16810523—28no—
30#16810487—24no—
31C2×#13133124C2212yes—
32C2×#13133124C2212yes—
33C2×#13133124C2212yes—
34C2×#13133124C2211yescharacteristic
35C2×#13133124C2212yes—
36C42×Dic53—24no—
37C22×C22⋊C4×C53C2212yes—
38C22×C22⋊C4×C53C2211yescharacteristic
39C22×C42×C53C2211yescharacteristic
40C2×#95×C53C2211yescharacteristic
41C2×#95×C53C2212yes—
42C24×D53C2311yescharacteristic
43C22×Dic106—24no—
44C22×Dic106—22no—
45C22×Dic106—22no—
46C22×Dic106—24no—
47C22×Dic106C2×C414yes—
48C22×C22⋊D53—24no—
49C22×C22⋊D53—22no—
50C22×C22⋊D53—22no—
51C22×C22⋊D53—24no—
52C22×C22⋊D53C2×C414yes—
53C23×Dic53C2312yes—
54C23×Dic53C2311yescharacteristic
55C23×Dic53C2311yescharacteristic
56C23×Dic53C2312yes—
57C23×Dic53C2311yescharacteristic
58#13133203—232no—
59C2×#11719919—24no—
60C2×#11719919—24no—
61C2×#11719919—24no—
62C2×C22⋊Dic53—22no—
63C2×C22⋊Dic53—22no—
64C2×C22⋊Dic53—24no—
65C2×C22⋊Dic53—24no—
66C2×C22⋊Dic53—24no—
67C2×C22⋊Dic53C2×C414yes—
68C2×#11719921—22no—
69C2×#11719921—22no—
70C2×#11719921—24no—
71C2×#11719921—24no—
72C2×#11719921—24no—
73C2×#11719921—22no—
74C2×#11719921—22no—
75C2×#11719921—24no—
76C2×#11719921—24no—
77C2×#11719921—24no—
78C2×#11719921C2×C414yes—
79C2×#11719921C2×C414yes—
80C2×C4×Dic53—22no—
81C2×C4×Dic53—24no—
82C2×C4×Dic53—24no—
83C2×C4×Dic53—24no—
84C2×C4×Dic53—24no—
85C2×C4×Dic53—24no—
86C2×C4×Dic53—24no—
87C2×C4×Dic53C2×C414yes—
88C2×C4×Dic53D418yes—
89C2×C4×Dic53D414yes—
90C2×C4×Dic53D414yes—
91#13133124—24no—
92#13133124—22no—
93#13133124—24no—
94#13133124—24no—
95#13133124—24no—
96C25×C53C2311yescharacteristic
97C23×C4×C53C2312yes—
98C23×C4×C53C2311yescharacteristic
99C23×C4×C53C2311yescharacteristic
100C23×C4×C53C2312yes—
101C2×C22⋊C4×C53—22no—
102C2×C22⋊C4×C53—22no—
103C2×C22⋊C4×C53—24no—
104C2×C22⋊C4×C53—24no—
105C2×C22⋊C4×C53—24no—
106C2×C22⋊C4×C53C2×C414yes—
107C2×C42×C53—22no—
108C2×C42×C53—24no—
109#95×C53—24no—
110#95×C53—22no—
111C24×C53—21no—
112C24×C53—21no—
113C24×C53—22no—
114C24×C53—22no—
115C24×C53—22no—
116C24×C53—22no—
117C24×C53—22no—
118C24×C53—22no—
119C24×C53C22×C412yes—
120C24×C53C2411yescharacteristic
121C23×D53—21no—
122C23×D53—21no—
123C23×D53—22no—
124C23×D53—22no—
125C23×D53—22no—
126C23×D53—22no—
127C23×D53—22no—
128C23×D53—22no—
129C23×D53C22×C412yes—
130C22×C4×C53—22no—
131C22×C4×C53—22no—
132C22×C4×C53—22no—
133C22×C4×C53—22no—
134C22×C4×C53—22no—
135C22×C4×C53—22no—
136C22×C4×C53—22no—
137C22×C4×C53—21no—
138C22×C4×C53—21no—
139C22×C4×C53—22no—
140C22×C4×C53—22no—
141C22×C4×C53—22no—
142C22×C4×C53—22no—
143C22×C4×C53—22no—
144C22×C4×C53—22no—
145C22×C4×C53—22no—
146C22×C4×C53—22no—
147C22×C4×C53C22×C412yes—
148C22×C4×C53C22×C412yes—
149C22×C4×C53C2×D412yes—
150C22×C4×C53C2×D412yes—
151C22×C4×C53C2×D414yes—
152C22×C4×C53#4114yes—
153C22×C4×C53#4114yes—
154C2×C22⋊D53—28no—
155C2×C22⋊D53—216no—
156C2×C22⋊D53—48no—
157C2×C22⋊D53—44no—
158C2×C22⋊D53—44no—
159C22×Dic53—22no—
160C22×Dic53—22no—
161C22×Dic53—22no—
162C22×Dic53—22no—
163C22×Dic53—22no—
164C22×Dic53—22no—
165C22×Dic53—22no—
166C22×Dic53—21no—
167C22×Dic53—21no—
168C22×Dic53—22no—
169C22×Dic53—22no—
170C22×Dic53—22no—
171C22×Dic53—22no—
172C22×Dic53—22no—
173C22×Dic53—22no—
174C22×Dic53—22no—
175C22×Dic53—22no—
176C22×Dic53C22×C412yes—
177C22×Dic53C22×C412yes—
178C22×Dic53C22×C412yes—
179C22×Dic53C2×D412yes—
180C22×Dic53C2×D412yes—
181C22×Dic53C2×D414yes—
182C22×Dic53C2×D412yes—
183C22×Dic53C2×D412yes—
184C22×Dic53C2×D414yes—
185C22×Dic53#4114yes—
186C22×Dic53#4114yes—
187C22×Dic53#4114yes—
188C2×Dic106—28no—
189C2×Dic106—216no—
190C2×Dic106—48no—
191C2×Dic106—44no—
192C2×Dic106—44no—
193C22⋊C4×C53—28no—
194C22⋊C4×C53—48no—
195C42×C53—28no—
196C22⋊Dic53—28no—
197C22⋊Dic53—48no—
198#11719921—28no—
199#11719921—28no—
200#11719921—48no—
201#11719921—48no—
202#11719919—48no—
203C4×Dic53—216no—
204C4×Dic53—28no—
205C4×Dic53—216no—
206C4×Dic53C22⋊C4116yescomplemented
207C23×C53—22no—
208C23×C53—24no—
209C23×C53—24no—
210C23×C53—22no—
211C23×C53—22no—
212C23×C53—42no—
213C23×C53—41no—
214C23×C53—41no—
215C23×C53—42no—
216C23×C53—41no—
217C23×C53—42no—
218C23×C53—42no—
219C23×C53—42no—
220C23×C53—42no—
221C23×C53—42no—
222C23×C53—42no—
223C23×C53—41no—
224C23×C53—42no—
225C23×C53—42no—
226C23×C53—42no—
227C23×C53—42no—
228C23×C53C23×C411yescharacteristic
229C23×C53C22×D411yescharacteristic
230C23×C53C22×D411yescharacteristic
231C23×C53C22×D412yes—
232C23×C53C2×#4112yes—
233C23×C53C2×#4112yes—
234C23×C53C2×#4112yes—
235C23×C53C2×#4112yes—
236C23×C53C2×#4112yes—
237C22×D53—22no—
238C22×D53—24no—
239C22×D53—24no—
240C22×D53—22no—
241C22×D53—22no—
242C22×D53—42no—
243C22×D53—41no—
244C22×D53—41no—
245C22×D53—42no—
246C22×D53—41no—
247C22×D53—42no—
248C22×D53—42no—
249C22×D53—42no—
250C22×D53—42no—
251C22×D53—42no—
252C22×D53—42no—
253C22×D53—41no—
254C22×D53—42no—
255C22×D53—42no—
256C22×D53—42no—
257C22×D53—42no—
258C2×C4×C53—24no—
259C2×C4×C53—24no—
260C2×C4×C53—22no—
261C2×C4×C53—22no—
262C2×C4×C53—24no—
263C2×C4×C53—24no—
264C2×C4×C53—24no—
265C2×C4×C53—24no—
266C2×C4×C53—24no—
267C2×C4×C53—24no—
268C2×C4×C53—22no—
269C2×C4×C53—24no—
270C2×C4×C53—42no—
271C2×C4×C53—41no—
272C2×C4×C53—41no—
273C2×C4×C53—42no—
274C2×C4×C53—42no—
275C2×C4×C53—42no—
276C2×C4×C53—42no—
277C2×C4×C53—42no—
278C2×C4×C53—42no—
279C2×C4×C53—42no—
280C2×C4×C53C2×C22⋊C414yes—
281C2×C4×C53#12418yescomplemented
282C22⋊D53—416no—
283C2×Dic53—22no—
284C2×Dic53—22no—
285C2×Dic53—24no—
286C2×Dic53—24no—
287C2×Dic53—24no—
288C2×Dic53—24no—
289C2×Dic53—24no—
290C2×Dic53—24no—
291C2×Dic53—24no—
292C2×Dic53—24no—
293C2×Dic53—22no—
294C2×Dic53—24no—
295C2×Dic53—42no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—42no—
299C2×Dic53—42no—
300C2×Dic53—42no—
301C2×Dic53—42no—
302C2×Dic53—42no—
303C2×Dic53—42no—
304C2×Dic53—42no—
305C2×Dic53C2×C22⋊C414yes—
306C2×Dic53C2×C22⋊C414yes—
307C2×Dic53C4×D418yes—
308C2×Dic53#12118yes—
309C2×Dic53#12414yes—
310C2×Dic53#12418yescomplemented
311C2×Dic53#12714yes—
312Dic106—416no—
313#14708—531nomaximal, Sylow
314C22×C53—42no—
315C22×C53—42no—
316C22×C53—42no—
317C22×C53—44no—
318C22×C53—44no—
319C22×C53—82no—
320C22×C53—82no—
321C22×C53—82no—
322C22×C53—82no—
323C22×C53C22×C22⋊C411yescharacteristic
324C22×C53C2×C4×D412yes—
325C22×C53C4×#4112yes—
326C22×C53C4×#4111yescharacteristic
327C22×C53C4×#4111yescharacteristic
328C22×C53C2×#12112yes—
329C22×C53#52511yescharacteristic
330C22×C53#52511yescharacteristic
331C22×C53#52512yes—
332C22×C53C2×#12412yes—
333C22×C53C2×#12411yescharacteristic
334C22×C53C2×#12412yes—
335C22×C53#52912yes—
336C22×C53#52912yes—
337C22×C53#52912yes—
338C22×C53#52912yes—
339C22×C53C2×#12711yescharacteristic
340C22×C53#53212yes—
341C22×C53#53212yes—
342C22×C53#53212yes—
343C22×C53#53212yes—
344C2×D53—42no—
345C2×D53—42no—
346C2×D53—42no—
347C2×D53—44no—
348C2×D53—44no—
349C2×D53—82no—
350C2×D53—82no—
351C2×D53—82no—
352C2×D53—82no—
353C4×C53—28no—
354C4×C53—24no—
355C4×C53—42no—
356C4×C53—82no—
357Dic53—28no—
358Dic53—24no—
359Dic53—42no—
360Dic53—82no—
361Dic53#39018yes—
362C22×#124—531no—
363C2×#391—532no—
364C2×#390—532no—
365C2×#382—531no—
366C2×C43—531no—
367#1437—531no—
368#1437—532no—
369#1437—531no—
370#1437—532no—
371#1437—531no—
372#1437D5311yescharacteristic, complemented
373C2×C53—82no—
374C2×C53C2×#39011yescharacteristic
375C2×C53#229711yescharacteristic
376C2×C53#229711yescharacteristic
377C2×C53C4×#12412yes—
378C2×C53C4×#12412yes—
379C2×C53#285012yes—
380C2×C53#285012yes—
381C2×C53#285812yes—
382C2×C53#286112yes—
383D53—82no—
384C23×Q8—531no—
385C23×D4—531no—
386C2×#124—538no—
387C2×#124—1064no—
388C2×#124—1064no—
389C22×C4⋊C4—532no—
390C22×C22⋊C4—531no—
391C22×C22⋊C4—531no—
392C22×C22⋊C4—531no—
393C22×C22⋊C4—532no—
394C22×C22⋊C4—532no—
395C22×C22⋊C4—532no—
396C22×C22⋊C4C2×D5312yes—
397C22×C22⋊C4C2×D5311yescharacteristic
398C22×C42—531no—
399C22×C42—532no—
400C22×C42—532no—
401C22×C42—531no—
402C22×C42C2×D5311yescharacteristic
403#391—1068no—
404#390—1068no—
405#382—1064no—
406C2×#95—532no—
407C2×#95—531no—
408C2×#95—532no—
409C2×#95—532no—
410C2×#95—532no—
411C2×#95C2×D5311yescharacteristic
412C2×#95C2×D5312yes—
413C43—1064no—
414C53#1470811yescharacteristic, complemented, Sylow
415C25—531no—
416C25C22×D5311yescharacteristic
417C22×Q8—534no—
418C22×Q8—1062no—
419C22×Q8—1062no—
420C22×Q8—1064no—
421C22×Q8—1064no—
422C22×D4—534no—
423C22×D4—1062no—
424C22×D4—1062no—
425C22×D4—1064no—
426C22×D4—1064no—
427C23×C4—531no—
428C23×C4—531no—
429C23×C4—532no—
430C23×C4—531no—
431C23×C4—532no—
432C23×C4C22×D5312yes—
433C23×C4C22×D5311yescharacteristic
434C23×C4C22×D5311yescharacteristic
435C23×C4C22×D5312yes—
436#124—10632no—
437C2×C4⋊C4—1064no—
438C2×C4⋊C4—1064no—
439C2×C4⋊C4—1064no—
440C2×C22⋊C4—22no—
441C2×C22⋊C4—22no—
442C2×C22⋊C4—24no—
443C2×C22⋊C4—24no—
444C2×C22⋊C4—24no—
445C2×C22⋊C4—534no—
446C2×C22⋊C4—534no—
447C2×C22⋊C4—534no—
448C2×C22⋊C4—1062no—
449C2×C22⋊C4—1062no—
450C2×C22⋊C4—1062no—
451C2×C22⋊C4—1062no—
452C2×C22⋊C4—1062no—
453C2×C22⋊C4—1062no—
454C2×C22⋊C4—1064no—
455C2×C22⋊C4—1064no—
456C2×C22⋊C4—1064no—
457C2×C22⋊C4—1064no—
458C2×C22⋊C4—1064no—
459C2×C22⋊C4—1064no—
460C2×C22⋊C4—1064no—
461C2×C22⋊C4—1064no—
462C2×C22⋊C4—1064no—
463C2×C22⋊C4C4×D5314yes—
464C2×C42—22no—
465C2×C42—24no—
466C2×C42—534no—
467C2×C42—534no—
468C2×C42—534no—
469C2×C42—538no—
470C2×C42—1064no—
471C2×C42—1064no—
472C2×C42—1064no—
473C2×C42—1064no—
474C2×C42—1064no—
475C2×C42—1064no—
476C2×C42—1062no—
477#95—22no—
478#95—24no—
479#95—1064no—
480#95—1064no—
481#95—1064no—
482#95—1062no—
483#95—1064no—
484C24—21no—
485C24—21no—
486C24—22no—
487C24—22no—
488C24—22no—
489C24—22no—
490C24—22no—
491C24—22no—
492C24—532no—
493C24—1061no—
494C24—1061no—
495C24—1062no—
496C24—1062no—
497C24—1062no—
498C24—1062no—
499C24—1062no—
500C24—1062no—
501C24C2×C4×D5312yes—
502C24C23×D5311yescharacteristic
503C2×Q8—1068no—
504C2×Q8—10616no—
505C2×Q8—2128no—
506C2×Q8—2124no—
507C2×Q8—2124no—
508C2×D4—1068no—
509C2×D4—10616no—
510C2×D4—2128no—
511C2×D4—2124no—
512C2×D4—2124no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—532no—
531C22×C4—532no—
532C22×C4—532no—
533C22×C4—534no—
534C22×C4—534no—
535C22×C4—532no—
536C22×C4—532no—
537C22×C4—534no—
538C22×C4—532no—
539C22×C4—534no—
540C22×C4—534no—
541C22×C4—532no—
542C22×C4—1062no—
543C22×C4—1062no—
544C22×C4—1062no—
545C22×C4—1062no—
546C22×C4—1062no—
547C22×C4—1062no—
548C22×C4—1062no—
549C22×C4—1061no—
550C22×C4—1061no—
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×C4C2×C4×D5312yes—
560C22×C4C2×C4×D5312yes—
561C22×C4#1171994514yes—
562C22×C4D4×D5312yes—
563C22×C4D4×D5312yes—
564C22×C4D4×D5314yes—
565C22×C4#1171994714yes—
566C4⋊C4—2128no—
567C22⋊C4—28no—
568C22⋊C4—48no—
569C22⋊C4—1068no—
570C22⋊C4—1068no—
571C22⋊C4—1068no—
572C22⋊C4—2128no—
573C22⋊C4—2128no—
574C22⋊C4—2128no—
575C42—28no—
576C42—5316no—
577C42—10616no—
578C42—1068no—
579C42—10616no—
580C23—22no—
581C23—24no—
582C23—24no—
583C23—22no—
584C23—22no—
585C23—42no—
586C23—41no—
587C23—41no—
588C23—42no—
589C23—42no—
590C23—41no—
591C23—42no—
592C23—42no—
593C23—42no—
594C23—42no—
595C23—42no—
596C23—41no—
597C23—42no—
598C23—42no—
599C23—42no—
600C23—42no—
601C23—1062no—
602C23—1064no—
603C23—1064no—
604C23—1062no—
605C23—1062no—
606C23—2122no—
607C23—2121no—
608C23—2121no—
609C23—2122no—
610C23—2122no—
611C23—2121no—
612C23—2122no—
613C23—2122no—
614C23—2122no—
615C23—2122no—
616C23—2122no—
617C23—2121no—
618C23—2122no—
619C23—2122no—
620C23—2122no—
621C23—2122no—
622C23C22×C4×D5311yescharacteristic
623C23C2×D4×D5311yescharacteristic
624C23C2×D4×D5311yescharacteristic
625C23C2×D4×D5312yes—
626C23#41×D5312yes—
627C23#41×D5312yes—
628C23#41×D5312yes—
629C23C2×#1171994712yes—
630C23C2×#1171994512yes—
631Q8—21216no—
632D4—21216no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—42no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—534no—
656C2×C4—538no—
657C2×C4—538no—
658C2×C4—534no—
659C2×C4—534no—
660C2×C4—534no—
661C2×C4—538no—
662C2×C4—1062no—
663C2×C4—1062no—
664C2×C4—1064no—
665C2×C4—1064no—
666C2×C4—1064no—
667C2×C4—1064no—
668C2×C4—1064no—
669C2×C4—1064no—
670C2×C4—1064no—
671C2×C4—1064no—
672C2×C4—1062no—
673C2×C4—1064no—
674C2×C4—2122no—
675C2×C4—2122no—
676C2×C4—2122no—
677C2×C4—2122no—
678C2×C4—2122no—
679C2×C4—2122no—
680C2×C4—2122no—
681C2×C4—2122no—
682C2×C4—2121no—
683C2×C4—2121no—
684C2×C4C22⋊C4×D5314yes—
685C2×C4#1313320318yescomplemented
686C22—44no—
687C22—44no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—82no—
692C22—82no—
693C22—82no—
694C22—82no—
695C22—4242no—
696C22—4242no—
697C22—4242no—
698C22—4242no—
699C22—2124no—
700C22—2124no—
701C22—2122no—
702C22—2122no—
703C22—2122no—
704C22C2×C22⋊C4×D5311yescharacteristic
705C22C4×D4×D5312yes—
706C22C4×#1171994712yes—
707C22#1681109111yescharacteristic
708C22C4×#1171994511yescharacteristic
709C22#121×D5312yes—
710C22#1681112911yescharacteristic
711C22#1681113111yescharacteristic
712C22#1681113212yes—
713C22#124×D5312yes—
714C22#124×D5311yescharacteristic
715C22C2×#1313320312yes—
716C22#1681115012yes—
717C22#1681115112yes—
718C22#1681115312yes—
719C22#1681115612yes—
720C22#127×D5311yescharacteristic
721C22#1681116812yes—
722C22#1681116812yes—
723C22#1681117012yes—
724C22#1681117012yes—
725C4—28no—
726C4—24no—
727C4—42no—
728C4—82no—
729C4—538no—
730C4—1068no—
731C4—1064no—
732C4—4242no—
733C4—2122no—
734C2—82no—
735C2—4242no—
736C2#390×D5311yescharacteristic
737C2#2027720011yescharacteristic
738C2#2027720111yescharacteristic
739C2C4×#1313320312yes—
740C2#2027725612yes—
741C2#2028301212yes—
742C2#2028301312yes—
743C2#2028306912yes—
744C2#2028308412yes—
subgroupG/H
center, FrattiniC24C23×D53
commutatorC23×C53C23×C4
FittingC53×#1437C2
socle, cosocleC24×C53C24
prime radicalC23×C22⋊D53C22
hypercenter#1437D53
hypocenterC53#14708
LCSG ▷ C23×C53 ▷ C53
UCSC1 ◁ C24 ◁ #1437

Complements

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

NH ≅ G/Ntype
2. C2×#16810527C2semidirect
4. C2×#16810487C2semidirect
5. C2×C42×Dic53C2semidirect
6. #20272953C2semidirect
7. #20272952C2semidirect
8. #20272952C2semidirect
9. #20272951C2semidirect
10. #20272951C2semidirect
11. C53×#1437C2semidirect
16. C2×#13133203C4semidirect
206. C4×Dic53C22⋊C4semidirect
281. C2×C4×C53#124semidirect
310. C2×Dic53#124semidirect
372. #1437D53semidirect
414. C53#14708semidirect
685. C2×C4#13133203semidirect

Maximal subgroups

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

subgroupindex
C22×#131332032
C2×#168105272
C2×#168105232
C2×#168104872
C2×C42×Dic532
#202729532
#202729522
#202729512
C53×#14372
#1470853