Finite Group Databasebeta

← #27383990

Subgroups — #27383990

Order 13568.

1426 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#117×D53C211yesmaximal, characteristic
2C2×#16810679C211yesmaximal, characteristic, complemented
3C2×#16810675C211yesmaximal, characteristic, complemented
4#20274782C212yesmaximal, complemented
5#20274699C211yesmaximal, characteristic, complemented
6#20274696C211yesmaximal, characteristic, complemented
7#20274696C211yesmaximal, characteristic, complemented
8#20274624C212yesmaximal
9#20274483C212yesmaximal, complemented
10#20274480C212yesmaximal, complemented
11C53×#1798C211yesmaximal, characteristic, complemented
12C23×C4×D53C2211yescharacteristic
13C2×#13133176C2211yescharacteristic
14C2×#13133175C411yescharacteristic
15C2×#13133175C411yescharacteristic
16C2×#13133174C2211yescharacteristic
17C2×#13133174C2211yescharacteristic
18C2×#13133173C411yescharacteristic
19C2×#13133173C411yescharacteristic
20#117×D53—24no—
21#117×D53—24no—
22C2×C4⋊C4×D53C411yescharacteristic
23C2×C4⋊C4×D53C411yescharacteristic
24C2×C22⋊C4×D53C411yescharacteristic
25C2×C22⋊C4×D53C411yescharacteristic
26C2×C42×D53C2211yescharacteristic
27C2×C42×D53C2211yescharacteristic
28#16810679—24no—
29#16810675—24no—
30C2×C4⋊#88322C2211yescharacteristic, complemented
31C2×C4⋊#88322C2211yescharacteristic, complemented
32C2×C22⋊#88322C2212yes—
33C2×#13133129C2212yes—
34C2×#13133129C2212yes—
35C2×#13133129C2212yes—
36C2×#13133129C2212yes—
37C2×#13133127C2212yescomplemented
38C2×C8×Dic53C2212yescomplemented
39#16810378C2212yescomplemented
40#16810377C2212yescomplemented
41#16810377C2212yescomplemented
42C2×#117×C53C2211yescharacteristic
43C2×C4⋊C8×C53C2211yescharacteristic, complemented
44C2×C4⋊C8×C53C2211yescharacteristic, complemented
45C2×C22⋊C8×C53C2212yes—
46C53×#336C2212yescomplemented
47C24×D53C2×C411yescharacteristic
48C23×Dic53C2×C411yescharacteristic
49C22×C4×D53—22no—
50C22×C4×D53—22no—
51C22×C4×D53—22no—
52C22×C4×D53—22no—
53C22×C4×D53—22no—
54C22×C4×D53—22no—
55C22×C4×D53C2×C411yescharacteristic
56C22×C4×D53C2×C411yescharacteristic
57C22×C4×D53C2×C411yescharacteristic
58C22×C4×D53C2×C411yescharacteristic
59C22×C4×D53C2×C411yescharacteristic
60C22×C4×D53C2×C411yescharacteristic
61C22×C4×D53C2311yescharacteristic
62C22×C4×D53C2311yescharacteristic
63C22×#88322C2312yes—
64C22×#88322C2312yes—
65#13133176—22no—
66#13133176—22no—
67#13133175—24no—
68#13133175—24no—
69#13133174—22no—
70#13133174—22no—
71#13133174—22no—
72#13133174—22no—
73#13133173—24no—
74#13133173—24no—
75C2×C4⋊Dic53C2×C411yescharacteristic
76C2×C4⋊Dic53C2×C411yescharacteristic
77C2×#11719919C2×C411yescharacteristic
78C2×#11719919C2×C411yescharacteristic
79C2×#11719919C2×C411yescharacteristic
80C2×#11719919C2×C411yescharacteristic
81C4⋊C4×D53—24no—
82C4⋊C4×D53—24no—
83C2×C22⋊Dic53C2×C411yescharacteristic
84C2×C22⋊Dic53C2×C411yescharacteristic
85C2×#11719921C2×C411yescharacteristic
86C2×#11719921C2×C411yescharacteristic
87C2×#11719921C2×C411yescharacteristic
88C2×#11719921C2×C411yescharacteristic
89C22⋊C4×D53—24no—
90C22⋊C4×D53—24no—
91C2×C4×Dic53C2×C411yescharacteristic
92C2×C4×Dic53C2×C411yescharacteristic
93C2×C4×Dic53C2×C411yescharacteristic
94C2×C4×Dic53C2×C411yescharacteristic
95C2×C4×Dic53C2311yescharacteristic
96C2×C4×Dic53C2311yescharacteristic
97C42×D53—22no—
98C42×D53—22no—
99C42×D53D414yes—
100C42×D53D414yes—
101C4⋊#88322—22no—
102C4⋊#88322—22no—
103C22⋊#88322—24no—
104#13133129—24no—
105#13133129—24no—
106#13133129—24no—
107#13133129—24no—
108#13133127—24no—
109C8×Dic53—24no—
110C23×C4×C53C2311yescharacteristic
111C22×C8×C53C2312yes—
112C22×C8×C53C2312yes—
113#117×C53—22no—
114#117×C53—22no—
115C2×C4⋊C4×C53C2×C411yescharacteristic
116C2×C4⋊C4×C53C2×C411yescharacteristic
117C2×C22⋊C4×C53C2×C411yescharacteristic
118C2×C22⋊C4×C53C2×C411yescharacteristic
119C2×C42×C53C2311yescharacteristic
120C2×C42×C53C2311yescharacteristic
121C4⋊C8×C53—22no—
122C4⋊C8×C53—22no—
123C22⋊C8×C53—24no—
124C24×C53C22×C411yescharacteristic
125C23×D53—22no—
126C23×D53—22no—
127C23×D53—22no—
128C23×D53—24no—
129C23×D53—42no—
130C23×D53C22×C411yescharacteristic
131C23×D53C22×C411yescharacteristic
132C22×C4×C53—21no—
133C22×C4×C53—21no—
134C22×C4×C53—21no—
135C22×C4×C53—21no—
136C22×C4×C53C22×C411yescharacteristic
137C22×C4×C53C22×C411yescharacteristic
138C22×C4×C53C22×C411yescharacteristic
139C22×C4×C53C22×C411yescharacteristic
140C22×C4×C53C22×C411yescharacteristic
141C22×C4×C53#4112yes—
142C22×C4×C53#4112yes—
143C22×C4×C53C2411yescharacteristic
144C22×Dic53—22no—
145C22×Dic53—22no—
146C22×Dic53—22no—
147C22×Dic53C22×C411yescharacteristic
148C22×Dic53C22×C411yescharacteristic
149C22×Dic53C22×C411yescharacteristic
150C22×Dic53C22×C411yescharacteristic
151C22×Dic53C22×C411yescharacteristic
152C22×Dic53C22×C411yescharacteristic
153C2×C4×D53—28no—
154C2×C4×D53—28no—
155C2×C4×D53—28no—
156C2×C4×D53—28no—
157C2×C4×D53—22no—
158C2×C4×D53—22no—
159C2×C4×D53—24no—
160C2×C4×D53—22no—
161C2×C4×D53—22no—
162C2×C4×D53—21no—
163C2×C4×D53—21no—
164C2×C4×D53—21no—
165C2×C4×D53—21no—
166C2×C4×D53—21no—
167C2×C4×D53—21no—
168C2×C4×D53—21no—
169C2×C4×D53—21no—
170C2×C4×D53—22no—
171C2×C4×D53—22no—
172C2×C4×D53—22no—
173C2×C4×D53—22no—
174C2×C4×D53—24no—
175C2×C4×D53—42no—
176C2×C4×D53—42no—
177C2×C4×D53C22⋊C414yes—
178C2×C4×D53C22⋊C414yes—
179C2×C4×D53C2×D412yes—
180C2×C4×D53C2×D412yes—
181C2×C4×D53#4112yes—
182C2×C4×D53#4112yes—
183C2×C8×C53—22no—
184C2×C8×C53—22no—
185C2×C8×C53—22no—
186C2×C8×C53—22no—
187C2×C8×C53—22no—
188C2×C8×C53—22no—
189C4⋊C4×C53—22no—
190C4⋊C4×C53—22no—
191C22⋊C4×C53—22no—
192C22⋊C4×C53—22no—
193C42×C53—21no—
194C42×C53—21no—
195C42×C53C2×D412yes—
196C42×C53C2×D412yes—
197C22⋊Dic53—22no—
198C22⋊Dic53—22no—
199#11719921—22no—
200#11719921—22no—
201#11719921—22no—
202#11719921—22no—
203C4⋊Dic53—22no—
204C4⋊Dic53—22no—
205#11719919—22no—
206#11719919—22no—
207#11719919—22no—
208#11719919—22no—
209C4×Dic53—21no—
210C4×Dic53—21no—
211C4×Dic53—22no—
212C4×Dic53—22no—
213C4×Dic53C22⋊C414yes—
214C4×Dic53C22⋊C414yes—
215C4×Dic53C2×D412yes—
216C4×Dic53C2×D412yes—
217C2×#88322—22no—
218C2×#88322—22no—
219C2×#88322—22no—
220C2×#88322—22no—
221C2×#88322—22no—
222C2×#88322—22no—
223C23×C53—21no—
224C23×C53—21no—
225C23×C53—22no—
226C23×C53—22no—
227C23×C53#11712yes—
228C23×C53C23×C411yescharacteristic
229C22×D53—21no—
230C22×D53—21no—
231C22×D53—22no—
232C22×D53—28no—
233C22×D53—21no—
234C22×D53—21no—
235C22×D53—22no—
236C22×D53—22no—
237C22×D53—48no—
238C22×D53—48no—
239C22×D53—44no—
240C22×D53—44no—
241C22×D53C2×C22⋊C412yes—
242C22×D53#11712yes—
243C22×D53#13114yes—
244C2×C4×C53—21no—
245C2×C4×C53—21no—
246C2×C4×C53—22no—
247C2×C4×C53—22no—
248C2×C4×C53—22no—
249C2×C4×C53—22no—
250C2×C4×C53—22no—
251C2×C4×C53—22no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—22no—
255C2×C4×C53—22no—
256C2×C4×C53C2×C22⋊C412yes—
257C2×C4×C53C2×C22⋊C412yes—
258C2×C4×C53#11712yes—
259C2×C4×C53C22×D411yescharacteristic
260C2×C4×C53C22×D411yescharacteristic
261C2×C4×C53C2×#4111yescharacteristic
262C2×C4×C53C2×#4111yescharacteristic
263C2×C4×C53C2×#4111yescharacteristic
264C2×C4×C53C2×#4111yescharacteristic
265C2×Dic53—28no—
266C2×Dic53—21no—
267C2×Dic53—21no—
268C2×Dic53—21no—
269C2×Dic53—21no—
270C2×Dic53—22no—
271C2×Dic53—22no—
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—22no—
275C2×Dic53—22no—
276C2×Dic53C2×C22⋊C412yes—
277C2×Dic53C2×C22⋊C412yes—
278C2×Dic53C2×C22⋊C412yes—
279C2×Dic53#11712yes—
280C4×D53—28no—
281C4×D53—28no—
282C4×D53—28no—
283C4×D53—22no—
284C4×D53—22no—
285C4×D53—22no—
286C4×D53—22no—
287C4×D53—22no—
288C4×D53—22no—
289C4×D53—22no—
290C4×D53—22no—
291C4×D53—44no—
292C4×D53—44no—
293C4×D53—44no—
294C8×C53—42no—
295C8×C53—42no—
296#88322—42no—
297#88322—42no—
298#20717—531nomaximal, Sylow
299C22×C53—24no—
300C22×C53—22no—
301C22×C53—41no—
302C22×C53—41no—
303C22×C53—42no—
304C22×C53C22×C22⋊C411yescharacteristic
305C22×C53C2×#11711yescharacteristic
306C22×C53C2×#11711yescharacteristic
307C22×C53C2×#13112yes—
308C22×C53#56812yes—
309C2×D53—22no—
310C2×D53—24no—
311C2×D53—24no—
312C2×D53—22no—
313C2×D53—24no—
314C2×D53—22no—
315C2×D53—416no—
316C2×D53—41no—
317C2×D53—41no—
318C2×D53—42no—
319C2×D53#40814yes—
320C4×C53—22no—
321C4×C53—22no—
322C4×C53—22no—
323C4×C53—41no—
324C4×C53—41no—
325C4×C53#52511yescharacteristic
326C4×C53#52511yescharacteristic
327C4×C53#52511yescharacteristic
328C4×C53#52511yescharacteristic
329Dic53—22no—
330Dic53—22no—
331Dic53—22no—
332Dic53—22no—
333Dic53—41no—
334Dic53—41no—
335C22×#117—531no—
336C2×#432—531no—
337C2×#431—531no—
338#1817—532no—
339#1798—531no—
340#1798—531no—
341#1798—531no—
342#1798D5311yescharacteristic, complemented
343#1779—532no—
344#1750—532no—
345#1750—532no—
346C2×C53—42no—
347C2×C53#228011yescharacteristic
348C2×C53C2×#40811yescharacteristic
349C2×C53#287911yescharacteristic
350C2×C53#292412yes—
351C2×C53#292412yes—
352D53—24no—
353D53—42no—
354C24×C4—531no—
355C2×#117—531no—
356C2×#117—531no—
357C2×#117—531no—
358C2×#117—531no—
359C2×#117—531no—
360C2×#117—531no—
361C2×#117—531no—
362C2×#117—1064no—
363C2×#117—1064no—
364C2×#117C2×D5311yescharacteristic
365C22×C4⋊C4—531no—
366C22×C4⋊C4—531no—
367C22×C22⋊C4—531no—
368C22×C22⋊C4—531no—
369C22×C42—531no—
370C22×C42—531no—
371#432—1064no—
372#431—1064no—
373C2×C4⋊C8—531no—
374C2×C4⋊C8—531no—
375C2×C4⋊C8C2×D5311yescharacteristic, complemented
376C2×C4⋊C8C2×D5311yescharacteristic, complemented
377C2×C22⋊C8—532no—
378C2×C22⋊C8—532no—
379C2×C22⋊C8—532no—
380C2×C22⋊C8—532no—
381C2×C22⋊C8—532no—
382C2×C22⋊C8C2×D5312yes—
383C2×#97—532no—
384C2×C4×C8—532no—
385#336—532no—
386#336—532no—
387#336—532no—
388#336C2×D5312yescomplemented
389C53#2071711yescharacteristic, complemented, Sylow
390C25—531no—
391C23×C4—531no—
392C23×C4—531no—
393C23×C4—531no—
394C23×C4—531no—
395C23×C4—531no—
396C23×C4—531no—
397C23×C4—531no—
398C23×C4—531no—
399C23×C4—531no—
400C23×C4—1062no—
401C23×C4—1062no—
402C23×C4—1062no—
403C23×C4—1062no—
404C23×C4—1062no—
405C23×C4—1062no—
406C23×C4C22×D5311yescharacteristic
407C22×C8—532no—
408C22×C8—532no—
409C22×C8C22×D5312yes—
410C22×C8C22×D5312yes—
411#117—22no—
412#117—22no—
413#117—1062no—
414#117—1062no—
415#117—1064no—
416#117—1064no—
417#117—1064no—
418#117—1064no—
419#117—1062no—
420#117—1062no—
421#117—1062no—
422#117—1062no—
423C2×C4⋊C4—531no—
424C2×C4⋊C4—531no—
425C2×C4⋊C4—531no—
426C2×C4⋊C4—531no—
427C2×C4⋊C4—531no—
428C2×C4⋊C4—531no—
429C2×C4⋊C4—1064no—
430C2×C4⋊C4—1064no—
431C2×C4⋊C4C4×D5311yescharacteristic
432C2×C4⋊C4C4×D5311yescharacteristic
433C2×C22⋊C4—531no—
434C2×C22⋊C4—531no—
435C2×C22⋊C4—531no—
436C2×C22⋊C4—531no—
437C2×C22⋊C4—531no—
438C2×C22⋊C4—531no—
439C2×C22⋊C4—1064no—
440C2×C22⋊C4—1064no—
441C2×C22⋊C4C4×D5311yescharacteristic
442C2×C22⋊C4C4×D5311yescharacteristic
443C2×C42—531no—
444C2×C42—531no—
445C2×C42—531no—
446C2×C42—534no—
447C2×C42—534no—
448C2×C42—531no—
449C2×C42—531no—
450C2×C42—531no—
451C2×C42—1062no—
452C2×C42—1062no—
453C2×C42C22×D5311yescharacteristic
454C2×C42C22×D5311yescharacteristic
455C4⋊C8—22no—
456C4⋊C8—22no—
457C4⋊C8—1062no—
458C4⋊C8—1062no—
459C22⋊C8—24no—
460C22⋊C8—1064no—
461C22⋊C8—1064no—
462C22⋊C8—1064no—
463C22⋊C8—1064no—
464C22⋊C8—1064no—
465#97—1064no—
466C4×C8—1064no—
467C24—531no—
468C24—531no—
469C24—1062no—
470C24—1062no—
471C24—1064no—
472C24—1062no—
473C24—2122no—
474C24C2×C4×D5311yescharacteristic
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—531no—
480C22×C4—531no—
481C22×C4—531no—
482C22×C4—531no—
483C22×C4—534no—
484C22×C4—532no—
485C22×C4—532no—
486C22×C4—532no—
487C22×C4—532no—
488C22×C4—534no—
489C22×C4—531no—
490C22×C4—531no—
491C22×C4—1062no—
492C22×C4—1062no—
493C22×C4—1062no—
494C22×C4—1064no—
495C22×C4—1062no—
496C22×C4—1068no—
497C22×C4—1068no—
498C22×C4—1068no—
499C22×C4—1068no—
500C22×C4—1062no—
501C22×C4—1062no—
502C22×C4—1064no—
503C22×C4—1062no—
504C22×C4—1062no—
505C22×C4—1062no—
506C22×C4—1062no—
507C22×C4—1062no—
508C22×C4—1061no—
509C22×C4—1061no—
510C22×C4—1061no—
511C22×C4—1061no—
512C22×C4—1061no—
513C22×C4—1061no—
514C22×C4—1061no—
515C22×C4—1061no—
516C22×C4—2122no—
517C22×C4—2122no—
518C22×C4C2×C4×D5311yescharacteristic
519C22×C4C2×C4×D5311yescharacteristic
520C22×C4C2×C4×D5311yescharacteristic
521C22×C4C2×C4×D5311yescharacteristic
522C22×C4C2×C4×D5311yescharacteristic
523C22×C4#1171994712yes—
524C22×C4#1171994912yes—
525C22×C4C23×D5311yescharacteristic
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—1062no—
533C2×C8—1062no—
534C2×C8—1062no—
535C2×C8—1062no—
536C2×C8—1062no—
537C2×C8—1062no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—1062no—
541C4⋊C4—1062no—
542C4⋊C4—1062no—
543C4⋊C4—1062no—
544C4⋊C4—1062no—
545C4⋊C4—1062no—
546C22⋊C4—22no—
547C22⋊C4—22no—
548C22⋊C4—1062no—
549C22⋊C4—1062no—
550C22⋊C4—1062no—
551C22⋊C4—1062no—
552C22⋊C4—1062no—
553C22⋊C4—1062no—
554C42—21no—
555C42—21no—
556C42—534no—
557C42—534no—
558C42—532no—
559C42—532no—
560C42—1062no—
561C42—1062no—
562C42—1061no—
563C42—1061no—
564C42D4×D5312yes—
565C42D4×D5312yes—
566C23—21no—
567C23—21no—
568C23—22no—
569C23—22no—
570C23—532no—
571C23—534no—
572C23—532no—
573C23—1068no—
574C23—1061no—
575C23—1061no—
576C23—1062no—
577C23—1061no—
578C23—1061no—
579C23—1062no—
580C23—1062no—
581C23—2128no—
582C23—2124no—
583C23—2128no—
584C23—2124no—
585C23#1313317512yes—
586C23C22×C4×D5311yescharacteristic
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—532no—
600C2×C4—532no—
601C2×C4—532no—
602C2×C4—532no—
603C2×C4—1068no—
604C2×C4—1068no—
605C2×C4—1068no—
606C2×C4—1068no—
607C2×C4—1061no—
608C2×C4—1061no—
609C2×C4—1061no—
610C2×C4—1061no—
611C2×C4—1062no—
612C2×C4—1062no—
613C2×C4—1062no—
614C2×C4—1062no—
615C2×C4—1062no—
616C2×C4—1062no—
617C2×C4—1062no—
618C2×C4—1062no—
619C2×C4—1062no—
620C2×C4—1062no—
621C2×C4—1061no—
622C2×C4—1061no—
623C2×C4—1062no—
624C2×C4—1062no—
625C2×C4—2124no—
626C2×C4—2124no—
627C2×C4—2124no—
628C2×C4C22⋊C4×D5312yes—
629C2×C4C22⋊C4×D5312yes—
630C2×C4#1313317512yes—
631C2×C4C2×D4×D5311yescharacteristic
632C2×C4C2×D4×D5311yescharacteristic
633C2×C4#41×D5311yescharacteristic
634C2×C4#41×D5311yescharacteristic
635C2×C4C2×#1171994711yescharacteristic
636C2×C4C2×#1171994911yescharacteristic
637C8—42no—
638C8—42no—
639C8—2122no—
640C8—2122no—
641C22—22no—
642C22—24no—
643C22—41no—
644C22—41no—
645C22—42no—
646C22—534no—
647C22—1062no—
648C22—1062no—
649C22—1064no—
650C22—1064no—
651C22—1062no—
652C22—1064no—
653C22—21216no—
654C22—2121no—
655C22—2121no—
656C22—2122no—
657C22C2×C22⋊C4×D5311yescharacteristic
658C22#117×D5311yescharacteristic
659C22C2×#1313317511yescharacteristic
660C22#131×D5312yes—
661C22#1681138812yes—
662C4—22no—
663C4—22no—
664C4—22no—
665C4—41no—
666C4—41no—
667C4—1062no—
668C4—1062no—
669C4—1062no—
670C4—1062no—
671C4—2121no—
672C4—2121no—
673C4#1681113311yescharacteristic
674C4#1681113311yescharacteristic
675C4#1681113611yescharacteristic
676C4#1681113611yescharacteristic
677C2—42no—
678C2—1064no—
679C2—2122no—
680C2#2027709711yescharacteristic
681C2#408×D5311yescharacteristic
682C2#2028315711yescharacteristic
683C2#2028337112yes—
684C2#2028337212yes—
subgroupG/H
center, FrattiniC22×C4C23×D53
commutator, socleC23×C53C23×C4
FittingC53×#1798C2
prime radicalC24×D53C2×C4
cosocleC22×C4×C53C24
hypercenter#1798D53
hypocenterC53#20717
LCSG ▷ C23×C53 ▷ C53
UCSC1 ◁ C22×C4 ◁ #1798

Complements

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

NH ≅ G/Ntype
2. C2×#16810679C2semidirect
3. C2×#16810675C2semidirect
4. #20274782C2semidirect
5. #20274699C2semidirect
6. #20274696C2semidirect
7. #20274696C2semidirect
9. #20274483C2semidirect
10. #20274480C2semidirect
11. C53×#1798C2semidirect
30. C2×C4⋊#88322C22semidirect
31. C2×C4⋊#88322C22semidirect
37. C2×#13133127C22semidirect
38. C2×C8×Dic53C22semidirect
39. #16810378C22semidirect
40. #16810377C22semidirect
41. #16810377C22semidirect
43. C2×C4⋊C8×C53C22semidirect
44. C2×C4⋊C8×C53C22semidirect
46. C53×#336C22semidirect
342. #1798D53semidirect
375. C2×C4⋊C8C2×D53semidirect
376. C2×C4⋊C8C2×D53semidirect
388. #336C2×D53semidirect
389. C53#20717semidirect

Maximal subgroups

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

subgroupindex
C2×#117×D532
C2×#168106792
C2×#168106752
#202747822
#202746992
#202746962
#202746242
#202744832
#202744802
C53×#17982
#2071753