Finite Group Databasebeta

← #27305978

Subgroups — #27305978

Order 13568.

2438 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13133175C211yesmaximal, characteristic
2C22×C4⋊C4×D53C211yesmaximal, characteristic
3C2×#16810485C211yesmaximal, characteristic
4C2×#16810485C212yesmaximal
5#20272969C211yesmaximal, characteristic, complemented
6#20272968C211yesmaximal, characteristic, complemented
7#20272965C211yesmaximal, characteristic, complemented
8#20272949C212yesmaximal, complemented
9#20272946C212yesmaximal, complemented
10#20272936C212yesmaximal
11C53×#1441C211yesmaximal, characteristic, complemented
12C23×C4×D53C2211yescharacteristic
13C23×C4×D53C2211yescharacteristic
14C23×C4×D53C2211yescharacteristic
15C2×#13133175—24no—
16C2×#13133175—28no—
17C22×C4⋊Dic53C2211yescharacteristic
18C22×C4⋊Dic53C2211yescharacteristic
19C22×#11719919C2211yescharacteristic
20C22×#11719919C2211yescharacteristic
21C2×C4⋊C4×D53—24no—
22C2×C4⋊C4×D53—24no—
23C2×C4⋊C4×D53C418yescomplemented
24C22×#11719921C2212yes—
25C22×#11719921C2212yes—
26C22×C4×Dic53C2212yes—
27#16810485—24no—
28#16810485—28no—
29C2×#13133124C2212yes—
30C2×#13133124C2212yes—
31C2×#13133124C2212yes—
32C2×#13133124C2212yes—
33C2×#13133124C2212yes—
34C2×#13133124C2212yes—
35C2×#13133124C2212yes—
36C2×#13133124C2211yescharacteristic
37C22×C4⋊C4×C53C2211yescharacteristic
38C22×C4⋊C4×C53C2211yescharacteristic
39C2×#95×C53C2212yes—
40C2×#95×C53C2212yes—
41C2×#95×C53C2211yescharacteristic
42C24×D53C2311yescharacteristic
43C23×Dic53C2312yes—
44C23×Dic53C2311yescharacteristic
45C23×Dic53C2312yes—
46C23×Dic53C2311yescharacteristic
47C23×Dic53C2311yescharacteristic
48C22×C4×D53—22no—
49C22×C4×D53—22no—
50C22×C4×D53—24no—
51C22×C4×D53—24no—
52C22×C4×D53—22no—
53C22×C4×D53—22no—
54C22×C4×D53—22no—
55C22×C4×D53—22no—
56C22×C4×D53—22no—
57C22×C4×D53—22no—
58C22×C4×D53—24no—
59C22×C4×D53—24no—
60C22×C4×D53C2×C414yes—
61C22×C4×D53C2×C414yes—
62C22×C4×D53C2×C414yes—
63C22×C4×D53D414yes—
64C22×C4×D53D414yes—
65#13133175—232no—
66C2×C4⋊Dic53—22no—
67C2×C4⋊Dic53—22no—
68C2×C4⋊Dic53—22no—
69C2×C4⋊Dic53—24no—
70C2×C4⋊Dic53C2×C414yes—
71C2×#11719919—22no—
72C2×#11719919—22no—
73C2×#11719919—22no—
74C2×#11719919—22no—
75C2×#11719919C2×C414yes—
76C2×#11719919C2×C414yes—
77C4⋊C4×D53—232no—
78C2×#11719921—24no—
79C2×#11719921—24no—
80C2×#11719921—24no—
81C2×#11719921—24no—
82C2×#11719921—24no—
83C2×#11719921D418yes—
84C2×C4×Dic53—24no—
85C2×C4×Dic53—24no—
86C2×C4×Dic53—24no—
87#13133124—24no—
88#13133124—22no—
89#13133124—24no—
90#13133124—24no—
91#13133124—24no—
92#13133124—24no—
93#13133124—24no—
94#13133124—24no—
95C23×C4×C53C2312yes—
96C23×C4×C53C2311yescharacteristic
97C23×C4×C53C2312yes—
98C23×C4×C53C2311yescharacteristic
99C23×C4×C53C2311yescharacteristic
100C2×C4⋊C4×C53—22no—
101C2×C4⋊C4×C53—22no—
102C2×C4⋊C4×C53—24no—
103C2×C4⋊C4×C53—22no—
104C2×C4⋊C4×C53C2×C414yes—
105#95×C53—24no—
106#95×C53—22no—
107#95×C53—24no—
108C24×C53C2411yescharacteristic
109C23×D53—21no—
110C23×D53—21no—
111C23×D53—21no—
112C23×D53—21no—
113C23×D53—22no—
114C23×D53—22no—
115C23×D53C22×C412yes—
116C23×D53C2×D412yes—
117C23×D53C2×D412yes—
118C23×D53C2×D414yes—
119C23×D53#4114yes—
120C22×C4×C53—21no—
121C22×C4×C53—21no—
122C22×C4×C53—22no—
123C22×C4×C53—21no—
124C22×C4×C53—21no—
125C22×C4×C53—22no—
126C22×C4×C53—22no—
127C22×C4×C53—22no—
128C22×C4×C53—22no—
129C22×C4×C53—21no—
130C22×C4×C53—21no—
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—22no—
138C22×C4×C53—22no—
139C22×C4×C53—22no—
140C22×C4×C53—22no—
141C22×C4×C53—22no—
142C22×C4×C53—22no—
143C22×C4×C53C22×C412yes—
144C22×C4×C53C22×C412yes—
145C22×C4×C53C22×C412yes—
146C22×C4×C53C2×D414yes—
147C22×C4×C53C2×D412yes—
148C22×C4×C53C2×D412yes—
149C22×C4×C53#4112yes—
150C22×C4×C53#4112yes—
151C22×Dic53—22no—
152C22×Dic53—21no—
153C22×Dic53—21no—
154C22×Dic53—21no—
155C22×Dic53—21no—
156C22×Dic53—22no—
157C22×Dic53—22no—
158C22×Dic53—22no—
159C22×Dic53—22no—
160C22×Dic53—21no—
161C22×Dic53—21no—
162C22×Dic53—22no—
163C22×Dic53—22no—
164C22×Dic53—22no—
165C22×Dic53—22no—
166C22×Dic53—22no—
167C22×Dic53—22no—
168C22×Dic53—22no—
169C22×Dic53—22no—
170C22×Dic53—22no—
171C22×Dic53—22no—
172C22×Dic53—22no—
173C22×Dic53—22no—
174C22×Dic53C22×C412yes—
175C22×Dic53C22×C412yes—
176C22×Dic53C22×C412yes—
177C22×Dic53C2×D414yes—
178C22×Dic53C2×D412yes—
179C22×Dic53C2×D412yes—
180C22×Dic53#4112yes—
181C22×Dic53#4112yes—
182C2×C4×D53—28no—
183C2×C4×D53—28no—
184C2×C4×D53—28no—
185C2×C4×D53—28no—
186C2×C4×D53—28no—
187C2×C4×D53—216no—
188C2×C4×D53—28no—
189C2×C4×D53—216no—
190C2×C4×D53—28no—
191C2×C4×D53—28no—
192C2×C4×D53—28no—
193C2×C4×D53—28no—
194C2×C4×D53—216no—
195C2×C4×D53—44no—
196C2×C4×D53—48no—
197C2×C4×D53—44no—
198C2×C4×D53C22⋊C4116yes—
199C4⋊C4×C53—28no—
200C4⋊C4×C53—28no—
201#11719921—216no—
202#11719921—48no—
203C4⋊Dic53—28no—
204C4⋊Dic53—28no—
205#11719919—28no—
206#11719919—28no—
207C4×Dic53—216no—
208C23×C53C23×C411yescharacteristic
209C23×C53C22×D411yescharacteristic
210C23×C53C22×D411yescharacteristic
211C23×C53C22×D412yes—
212C23×C53C2×#4111yescharacteristic
213C23×C53C2×#4111yescharacteristic
214C23×C53C2×#4112yes—
215C23×C53C2×#4111yescharacteristic
216C23×C53C2×#4111yescharacteristic
217C23×C532−1+412yes—
218C23×C532−1+412yes—
219C22×D53—22no—
220C22×D53—22no—
221C22×D53—24no—
222C22×D53—22no—
223C22×D53—22no—
224C22×D53—22no—
225C22×D53—22no—
226C22×D53—22no—
227C22×D53—24no—
228C22×D53—22no—
229C22×D53—24no—
230C22×D53—24no—
231C22×D53—24no—
232C22×D53—24no—
233C22×D53—24no—
234C22×D53—24no—
235C22×D53—24no—
236C22×D53—24no—
237C22×D53C2×C22⋊C414yes—
238C22×D53C4×D418yes—
239C22×D53#12014yes—
240C22×D53#12118yes—
241C22×D53#12314yes—
242C2×C4×C53—22no—
243C2×C4×C53—22no—
244C2×C4×C53—24no—
245C2×C4×C53—22no—
246C2×C4×C53—24no—
247C2×C4×C53—22no—
248C2×C4×C53—22no—
249C2×C4×C53—22no—
250C2×C4×C53—22no—
251C2×C4×C53—22no—
252C2×C4×C53—22no—
253C2×C4×C53—24no—
254C2×C4×C53—24no—
255C2×C4×C53—24no—
256C2×C4×C53—24no—
257C2×C4×C53—41no—
258C2×C4×C53—42no—
259C2×C4×C53—41no—
260C2×C4×C53—42no—
261C2×C4×C53—42no—
262C2×C4×C53—42no—
263C2×C4×C53—42no—
264C2×C4×C53—42no—
265C2×C4×C53—42no—
266C2×C4×C53—42no—
267C2×C4×C53—42no—
268C2×C4×C53—42no—
269C2×C4×C53—42no—
270C2×C4×C53—42no—
271C2×C4×C53C2×C22⋊C414yes—
272C2×C4×C53#11714yescomplemented
273C2×Dic53—22no—
274C2×Dic53—22no—
275C2×Dic53—24no—
276C2×Dic53—22no—
277C2×Dic53—24no—
278C2×Dic53—22no—
279C2×Dic53—22no—
280C2×Dic53—22no—
281C2×Dic53—22no—
282C2×Dic53—22no—
283C2×Dic53—22no—
284C2×Dic53—24no—
285C2×Dic53—24no—
286C2×Dic53—24no—
287C2×Dic53—24no—
288C2×Dic53—41no—
289C2×Dic53—42no—
290C2×Dic53—41no—
291C2×Dic53—42no—
292C2×Dic53—42no—
293C2×Dic53—42no—
294C2×Dic53—42no—
295C2×Dic53—42no—
296C2×Dic53—42no—
297C2×Dic53—42no—
298C2×Dic53—42no—
299C2×Dic53—42no—
300C2×Dic53—42no—
301C2×Dic53—42no—
302C2×Dic53C2×C22⋊C414yes—
303C2×Dic53#11714yescomplemented
304C4×D53—232no—
305C4×D53—232no—
306C4×D53—416no—
307#13870—531nomaximal, Sylow
308C22×C53C22×C22⋊C411yescharacteristic
309C22×C53C2×#11711yescharacteristic
310C22×C53C2×#11711yescharacteristic
311C22×C53C2×C4×D412yes—
312C22×C53#51912yes—
313C22×C53C2×#12011yescharacteristic
314C22×C53C2×#12112yes—
315C22×C53C2×#12311yescharacteristic
316C22×C53#52511yescharacteristic
317C22×C53#52511yescharacteristic
318C22×C53#52511yescharacteristic
319C22×C53#52511yescharacteristic
320C22×C53#53611yescharacteristic
321C22×C53#53612yes—
322C22×C53#53611yescharacteristic
323C22×C53#54712yes—
324C22×C53#54712yes—
325C22×C53#54712yes—
326C22×C53#54712yes—
327C22×C53#55212yes—
328C22×C53#55212yes—
329C22×C53#55212yes—
330C22×C53#55212yes—
331C2×D53—24no—
332C2×D53—28no—
333C2×D53—28no—
334C2×D53—24no—
335C2×D53—24no—
336C2×D53—28no—
337C2×D53—28no—
338C2×D53—24no—
339C2×D53—24no—
340C2×D53—24no—
341C2×D53#38618yes—
342C4×C53—24no—
343C4×C53—24no—
344C4×C53—44no—
345C4×C53—42no—
346C4×C53—82no—
347Dic53—24no—
348Dic53—24no—
349Dic53—44no—
350Dic53—42no—
351Dic53—82no—
352C22×#117—531no—
353C23×C4⋊C4—531no—
354C2×#381—532no—
355C2×#381—531no—
356#1441—531no—
357#1441—531no—
358#1441—531no—
359#1441D5311yescharacteristic, complemented
360#1436—532no—
361#1436—532no—
362C22⋊#95—532no—
363C2×C53#228011yescharacteristic
364C2×C53C2×#38611yescharacteristic
365C2×C53#231011yescharacteristic
366C2×C53#234412yes—
367C2×C53#234412yes—
368C2×C53#240611yescharacteristic
369C2×C53#240611yescharacteristic
370C2×C53#241312yes—
371C2×C53#241312yes—
372C2×C53#248411yescharacteristic
373C2×C53#248411yescharacteristic
374D53—28no—
375C24×C4—531no—
376C24×C4—531no—
377C24×C4—531no—
378C2×#117—1068no—
379C2×#117—1064no—
380C22×C4⋊C4—531no—
381C22×C4⋊C4—531no—
382C22×C4⋊C4—531no—
383C22×C4⋊C4—538no—
384C22×C4⋊C4—531no—
385C22×C4⋊C4—1064no—
386C22×C4⋊C4—1064no—
387C22×C4⋊C4C2×D5311yescharacteristic
388C22×C4⋊C4C2×D5311yescharacteristic
389C22×C22⋊C4—532no—
390C22×C22⋊C4—532no—
391C22×C42—532no—
392#381—1068no—
393#381—1064no—
394C2×#95—532no—
395C2×#95—532no—
396C2×#95—532no—
397C2×#95—532no—
398C2×#95—532no—
399C2×#95—532no—
400C2×#95—532no—
401C2×#95—531no—
402C2×#95C2×D5312yes—
403C2×#95C2×D5312yes—
404C2×#95C2×D5311yescharacteristic
405C53#1387011yescharacteristic, complemented, Sylow
406C25—531no—
407C23×C4—531no—
408C23×C4—531no—
409C23×C4—534no—
410C23×C4—534no—
411C23×C4—534no—
412C23×C4—532no—
413C23×C4—531no—
414C23×C4—534no—
415C23×C4—534no—
416C23×C4—532no—
417C23×C4—1062no—
418C23×C4—1062no—
419C23×C4—1062no—
420C23×C4—1062no—
421C23×C4—1064no—
422C23×C4—1064no—
423C23×C4—1062no—
424C23×C4—1062no—
425C23×C4—1064no—
426C23×C4—1064no—
427C23×C4—1062no—
428C23×C4—1062no—
429C23×C4C22×D5312yes—
430C23×C4C22×D5311yescharacteristic
431C23×C4C22×D5312yes—
432C23×C4C22×D5311yescharacteristic
433C23×C4C22×D5311yescharacteristic
434#117—10632no—
435C2×C4⋊C4—22no—
436C2×C4⋊C4—22no—
437C2×C4⋊C4—24no—
438C2×C4⋊C4—22no—
439C2×C4⋊C4—534no—
440C2×C4⋊C4—534no—
441C2×C4⋊C4—534no—
442C2×C4⋊C4—10632no—
443C2×C4⋊C4—1062no—
444C2×C4⋊C4—1062no—
445C2×C4⋊C4—1062no—
446C2×C4⋊C4—1062no—
447C2×C4⋊C4—1064no—
448C2×C4⋊C4—1062no—
449C2×C4⋊C4—1062no—
450C2×C4⋊C4—1062no—
451C2×C4⋊C4C4×D5314yes—
452C2×C22⋊C4—538no—
453C2×C22⋊C4—1064no—
454C2×C22⋊C4—1064no—
455C2×C22⋊C4—1064no—
456C2×C22⋊C4—1064no—
457C2×C22⋊C4—1064no—
458C2×C42—1064no—
459C2×C42—1064no—
460C2×C42—1064no—
461#95—24no—
462#95—22no—
463#95—24no—
464#95—1064no—
465#95—1064no—
466#95—1064no—
467#95—1064no—
468#95—1064no—
469#95—1064no—
470#95—1062no—
471#95—1064no—
472C24—532no—
473C24—534no—
474C24—532no—
475C24—532no—
476C24—534no—
477C24—1061no—
478C24—1061no—
479C24—1061no—
480C24—1061no—
481C24—1062no—
482C24—1062no—
483C24C23×D5311yescharacteristic
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—532no—
508C22×C4—532no—
509C22×C4—532no—
510C22×C4—532no—
511C22×C4—532no—
512C22×C4—532no—
513C22×C4—5316no—
514C22×C4—532no—
515C22×C4—534no—
516C22×C4—1068no—
517C22×C4—1068no—
518C22×C4—1068no—
519C22×C4—10616no—
520C22×C4—10616no—
521C22×C4—1068no—
522C22×C4—1068no—
523C22×C4—1068no—
524C22×C4—1068no—
525C22×C4—1068no—
526C22×C4—1068no—
527C22×C4—10616no—
528C22×C4—1062no—
529C22×C4—1061no—
530C22×C4—1061no—
531C22×C4—1062no—
532C22×C4—1061no—
533C22×C4—1061no—
534C22×C4—1068no—
535C22×C4—1062no—
536C22×C4—1062no—
537C22×C4—1062no—
538C22×C4—1061no—
539C22×C4—1061no—
540C22×C4—1062no—
541C22×C4—1062no—
542C22×C4—1062no—
543C22×C4—1062no—
544C22×C4—1062no—
545C22×C4—1062no—
546C22×C4—1062no—
547C22×C4—1062no—
548C22×C4—1062no—
549C22×C4—1062no—
550C22×C4—1062no—
551C22×C4—1062no—
552C22×C4—2124no—
553C22×C4—2128no—
554C22×C4—2124no—
555C22×C4C2×C4×D5312yes—
556C22×C4C2×C4×D5312yes—
557C22×C4C2×C4×D5312yes—
558C22×C4D4×D5314yes—
559C22×C4D4×D5312yes—
560C22×C4D4×D5312yes—
561C22×C4#1171994712yes—
562C22×C4#1171994912yes—
563C4⋊C4—28no—
564C4⋊C4—28no—
565C4⋊C4—1068no—
566C4⋊C4—1068no—
567C4⋊C4—1068no—
568C4⋊C4—1068no—
569C22⋊C4—10616no—
570C22⋊C4—2128no—
571C42—10616no—
572C23—534no—
573C23—538no—
574C23—534no—
575C23—538no—
576C23—534no—
577C23—1064no—
578C23—1064no—
579C23—1064no—
580C23—1064no—
581C23—1064no—
582C23—1064no—
583C23—1064no—
584C23—1064no—
585C23—1062no—
586C23—1062no—
587C23—1064no—
588C23—1062no—
589C23—1062no—
590C23—1062no—
591C23—1062no—
592C23—1062no—
593C23—1064no—
594C23—1062no—
595C23C22×C4×D5311yescharacteristic
596C23C2×D4×D5312yes—
597C23C2×D4×D5311yescharacteristic
598C23C2×D4×D5311yescharacteristic
599C23#41×D5311yescharacteristic
600C23#41×D5311yescharacteristic
601C23#41×D5312yes—
602C23C2×#1171994711yescharacteristic
603C23C2×#1171994911yescharacteristic
604C23#1313326412yes—
605C23#1313326512yes—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—24no—
620C2×C4—24no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—41no—
624C2×C4—42no—
625C2×C4—41no—
626C2×C4—42no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—534no—
636C2×C4—534no—
637C2×C4—10632no—
638C2×C4—10632no—
639C2×C4—1062no—
640C2×C4—1062no—
641C2×C4—1064no—
642C2×C4—1062no—
643C2×C4—1064no—
644C2×C4—1062no—
645C2×C4—1062no—
646C2×C4—1062no—
647C2×C4—1062no—
648C2×C4—1062no—
649C2×C4—1064no—
650C2×C4—1064no—
651C2×C4—1062no—
652C2×C4—1064no—
653C2×C4—1064no—
654C2×C4—21216no—
655C2×C4—2122no—
656C2×C4—2122no—
657C2×C4—2122no—
658C2×C4—2122no—
659C2×C4—2122no—
660C2×C4—2122no—
661C2×C4—2122no—
662C2×C4—2122no—
663C2×C4—2122no—
664C2×C4—2121no—
665C2×C4—2122no—
666C2×C4—2121no—
667C2×C4—2122no—
668C2×C4—2122no—
669C2×C4C22⋊C4×D5314yes—
670C2×C4#1313317514yescomplemented
671C22—538no—
672C22—1064no—
673C22—1064no—
674C22—1064no—
675C22—1068no—
676C22—1068no—
677C22—1068no—
678C22—1068no—
679C22—1064no—
680C22—1064no—
681C22—1064no—
682C22C2×C22⋊C4×D5311yescharacteristic
683C22#117×D5311yescharacteristic
684C22C2×#1313317511yescharacteristic
685C22C4×D4×D5312yes—
686C22#1681109912yes—
687C22#120×D5311yescharacteristic
688C22#121×D5312yes—
689C22#123×D5311yescharacteristic
690C22#1681113311yescharacteristic
691C22#1681113311yescharacteristic
692C22#1681113611yescharacteristic
693C22#1681113611yescharacteristic
694C22#1681119311yescharacteristic
695C22#1681119612yes—
696C22#1681119811yescharacteristic
697C22#1681127112yes—
698C22#1681127312yes—
699C22#1681127512yes—
700C22#1681127612yes—
701C22#1681130512yes—
702C22#1681130712yes—
703C22#1681130912yes—
704C22#1681131112yes—
705C4—24no—
706C4—24no—
707C4—44no—
708C4—42no—
709C4—82no—
710C4—1064no—
711C4—1064no—
712C4—4242no—
713C4—2124no—
714C4—2122no—
715C2—1068no—
716C2#2027709711yescharacteristic
717C2#386×D5311yescharacteristic
718C2#2027729811yescharacteristic
719C2#2027758112yes—
720C2#2027758312yes—
721C2#2027804511yescharacteristic
722C2#2027805111yescharacteristic
723C2#2027811512yes—
724C2#2027811712yes—
725C2#2027899711yescharacteristic
726C2#2027900311yescharacteristic
subgroupG/H
center, FrattiniC24C23×D53
commutatorC23×C53C23×C4
FittingC53×#1441C2
socle, cosocleC24×C53C24
prime radicalC24×D53C23
hypercenter#1441D53
hypocenterC53#13870
LCSG ▷ C23×C53 ▷ C53
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
5. #20272969C2semidirect
6. #20272968C2semidirect
7. #20272965C2semidirect
8. #20272949C2semidirect
9. #20272946C2semidirect
11. C53×#1441C2semidirect
23. C2×C4⋊C4×D53C4semidirect
272. C2×C4×C53#117semidirect
303. C2×Dic53#117semidirect
359. #1441D53semidirect
405. C53#13870semidirect
670. C2×C4#13133175semidirect

Maximal subgroups

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

subgroupindex
C22×#131331752
C22×C4⋊C4×D532
C2×#168104852
#202729692
#202729682
#202729652
#202729492
#202729462
#202729362
C53×#14412
#1387053