Finite Group Databasebeta

← #27402634

Subgroups — #27402634

Order 13568.

944 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810692C211yesmaximal, characteristic
2C2×#16810686C211yesmaximal, characteristic
3#20277161C211yesmaximal, characteristic
4#20275437C211yesmaximal, characteristic, complemented
5#20275430C211yesmaximal, characteristic, complemented
6#20274895C211yesmaximal, characteristic, complemented
7#20274894C211yesmaximal, characteristic, complemented
8#20274891C211yesmaximal, characteristic, complemented
9#20274833C211yesmaximal, characteristic, complemented
10#20274697C211yesmaximal, characteristic, complemented
11#20274692C211yesmaximal, characteristic, complemented
12#20274574C211yesmaximal, characteristic, complemented
13#20274413C211yesmaximal, characteristic, complemented
14#336×D53C211yesmaximal, characteristic, complemented
15C53×#1851C211yesmaximal, characteristic, complemented
16C23×#88322C2211yescharacteristic
17C22×C8×D53C2211yescharacteristic
18C22×C8×D53C2211yescharacteristic
19C2×C4×C22⋊D53C2211yescharacteristic
20C2×#13133176C2211yescharacteristic
21C2×C42×D53C2211yescharacteristic
22#16810692—24no—
23#16810686—24no—
24C2×C4⋊#88322C2211yescharacteristic
25C2×C4⋊#88322C2211yescharacteristic
26C2×#13133146C2211yescharacteristic
27C2×#13133146C2211yescharacteristic
28C2×#13133146C2211yescharacteristic
29C2×#13133146C2211yescharacteristic
30C2×C22⋊#88322C2211yescharacteristic
31C2×#13133129C2211yescharacteristic
32C2×#13133129C2211yescharacteristic
33C2×#13133127C2211yescharacteristic
34C2×C8×Dic53C2211yescharacteristic
35#16810517C411yescharacteristic
36#16810517C411yescharacteristic
37#16810510C411yescharacteristic
38#16810510C411yescharacteristic
39#16810499C411yescharacteristic
40#16810499C411yescharacteristic
41#16810497C411yescharacteristic
42#16810497C411yescharacteristic
43C4×#11719919C2211yescharacteristic
44C4×#11719921C2211yescharacteristic
45#16810469C2211yescharacteristic
46#16810378C2211yescharacteristic
47#16810378C2211yescharacteristic
48#16810377C2211yescharacteristic
49#16810377C2211yescharacteristic
50#16810377C2211yescharacteristic
51#16810377C2211yescharacteristic
52#16810377C2211yescharacteristic
53#16810377C2211yescharacteristic
54C22×M16×C53C2211yescharacteristic
55C2×C4⋊C8×C53C2211yescharacteristic
56C2×C4⋊C8×C53C2211yescharacteristic
57C2×C22⋊C8×C53C2211yescharacteristic
58C4×C22⋊C4×C53C2211yescharacteristic
59C53×#336C2211yescharacteristic
60C53×#336C2211yescharacteristic
61C22×C22⋊D53C2×C411yescharacteristic
62C22×C4×D53C2×C411yescharacteristic
63C22×C4×D53C2×C411yescharacteristic
64C22×C4×D53C2311yescharacteristic
65C22×#88322—22no—
66C22×#88322—22no—
67C22×#88322—41no—
68C22×#88322C2311yescharacteristic
69C22×#88322C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71C22×#88322C2311yescharacteristic
72C2×C8×D53—22no—
73C2×C8×D53—22no—
74C2×C8×D53—22no—
75C2×C8×D53—22no—
76C2×C8×D53—41no—
77C2×C8×D53—41no—
78C4×C22⋊D53D414yes—
79C4×C22⋊D53Q814yes—
80#13133176—41no—
81#13133176—41no—
82C2×C4⋊Dic53C2×C411yescharacteristic
83C2×C4⋊Dic53C2×C411yescharacteristic
84C2×#11719919C2×C411yescharacteristic
85C2×#11719919C2×C411yescharacteristic
86C2×#11719919C2×C411yescharacteristic
87C2×C22⋊Dic53C2×C411yescharacteristic
88C2×C22⋊Dic53C2×C411yescharacteristic
89C2×C22⋊Dic53C2×C411yescharacteristic
90C2×#11719921C2×C411yescharacteristic
91C2×#11719921C2×C411yescharacteristic
92C2×#11719921C2×C411yescharacteristic
93C2×C4×Dic53C2×C411yescharacteristic
94C2×C4×Dic53C2×C411yescharacteristic
95C2×C4×Dic53C2311yescharacteristic
96C2×C4×Dic53C2311yescharacteristic
97C2×C4×Dic53C2311yescharacteristic
98C42×D53—41no—
99C42×D53—41no—
100C4⋊#88322—22no—
101C4⋊#88322—41no—
102#13133146—22no—
103#13133146—22no—
104#13133146—41no—
105#13133146—41no—
106C22⋊#88322—22no—
107#13133129—22no—
108#13133129—22no—
109#13133127—22no—
110C8×Dic53—22no—
111#13133124C2×C411yescharacteristic
112#13133124C2×C411yescharacteristic
113#13133124C2×C411yescharacteristic
114#13133124C2×C411yescharacteristic
115#13133124C2×C411yescharacteristic
116#13133124C2×C411yescharacteristic
117#13133124C2×C411yescharacteristic
118#13133124C2×C411yescharacteristic
119C23×C4×C53C2311yescharacteristic
120C2×M16×C53—22no—
121C2×M16×C53—22no—
122C2×M16×C53—41no—
123C22×C8×C53C2311yescharacteristic
124C22×C8×C53C2311yescharacteristic
125C22×C8×C53C2311yescharacteristic
126C22×C8×C53C2311yescharacteristic
127C2×C22⋊C4×C53C2×C411yescharacteristic
128C2×C22⋊C4×C53C2×C411yescharacteristic
129C2×C42×C53C2311yescharacteristic
130C2×C42×C53C2311yescharacteristic
131C4⋊C8×C53—22no—
132C4⋊C8×C53—41no—
133C22⋊C8×C53—22no—
134#95×C53C2×C411yescharacteristic
135#95×C53C2×C411yescharacteristic
136C24×C53C22×C411yescharacteristic
137C23×D53C22×C411yescharacteristic
138C22×C4×C53—21no—
139C22×C4×C53—21no—
140C22×C4×C53—21no—
141C22×C4×C53—21no—
142C22×C4×C53C22×C411yescharacteristic
143C22×C4×C53C22×C411yescharacteristic
144C22×C4×C53C22×C411yescharacteristic
145C22×C4×C53C22×C411yescharacteristic
146C22×C4×C53C22×C411yescharacteristic
147C22×C4×C53C2×D412yes—
148C22×C4×C53C2×Q812yes—
149C22×C4×C53C2411yescharacteristic
150C2×C22⋊D53—22no—
151C2×C22⋊D53—22no—
152C2×C22⋊D53C4⋊C414yes—
153C22×Dic53C22×C411yescharacteristic
154C22×Dic53C22×C411yescharacteristic
155C22×Dic53C22×C411yescharacteristic
156C22×Dic53C22×C411yescharacteristic
157C22×Dic53C22×C411yescharacteristic
158C22×Dic53C22×C411yescharacteristic
159C22×Dic53C22×C411yescharacteristic
160C2×C4×D53—21no—
161C2×C4×D53—21no—
162C2×C4×D53—21no—
163C2×C4×D53—21no—
164C2×C4×D53—22no—
165C2×C4×D53—22no—
166C2×C4×D53—22no—
167C2×C4×D53—41no—
168C2×C4×D53—41no—
169C2×C4×D53—41no—
170C2×C4×D53C2×D412yes—
171C2×C4×D53C2×Q812yes—
172M16×C53—44no—
173C2×C8×C53—21no—
174C2×C8×C53—21no—
175C2×C8×C53—21no—
176C2×C8×C53—21no—
177C2×C8×C53—21no—
178C2×C8×C53—21no—
179C2×C8×C53—21no—
180C2×C8×C53—21no—
181C2×C8×C53—21no—
182C2×C8×C53—21no—
183C2×C8×C53—21no—
184C2×C8×C53#4112yes—
185C22⋊C4×C53—22no—
186C22⋊C4×C53—41no—
187C42×C53—21no—
188C42×C53—21no—
189C42×C53—21no—
190C42×C53—21no—
191C22⋊Dic53—41no—
192C22⋊Dic53—41no—
193C22⋊Dic53C4⋊C414yes—
194#11719921—22no—
195#11719921—22no—
196#11719921C4⋊C414yes—
197C4⋊Dic53—41no—
198C4⋊Dic53—41no—
199#11719919—22no—
200#11719919—41no—
201#11719919C4⋊C414yes—
202C4×Dic53—21no—
203C4×Dic53—21no—
204C4×Dic53—21no—
205C4×Dic53—21no—
206C4×Dic53—41no—
207C4×Dic53—41no—
208C4×Dic53C2×D412yes—
209C4×Dic53C2×Q812yes—
210C2×#88322—21no—
211C2×#88322—21no—
212C2×#88322—21no—
213C2×#88322—21no—
214C2×#88322—21no—
215C2×#88322—21no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—21no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322—44no—
222C2×#88322#4112yes—
223C8×D53—44no—
224C8×D53—44no—
225C23×C53—21no—
226C23×C53—21no—
227C23×C53—21no—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53C2×C4⋊C412yes—
232C23×C53C23×C411yescharacteristic
233C22×D53—21no—
234C22×D53—21no—
235C22×D53—21no—
236C22×D53—21no—
237C22×D53C2×C4⋊C412yes—
238C22×D53#13112yes—
239C22×D53#13112yes—
240C2×C4×C53—21no—
241C2×C4×C53—21no—
242C2×C4×C53—21no—
243C2×C4×C53—21no—
244C2×C4×C53—22no—
245C2×C4×C53—22no—
246C2×C4×C53—22no—
247C2×C4×C53—22no—
248C2×C4×C53—21no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—21no—
256C2×C4×C53—21no—
257C2×C4×C53C2×C4⋊C412yes—
258C2×C4×C53#13112yes—
259C2×C4×C53C22×D411yescharacteristic
260C2×C4×C53C22×Q811yescharacteristic
261C2×C4×C53C2×#4111yescharacteristic
262C2×C4×C53C2×#4111yescharacteristic
263C2×C4×C53H(5,𝔽2)11yescharacteristic
264C2×C4×C53H(5,𝔽2)11yescharacteristic
265C22⋊D53—28no—
266C2×Dic53—21no—
267C2×Dic53—21no—
268C2×Dic53—21no—
269C2×Dic53—21no—
270C2×Dic53—21no—
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—21no—
282C2×Dic53—21no—
283C2×Dic53—21no—
284C2×Dic53C2×C4⋊C412yes—
285C2×Dic53C2×C4⋊C412yes—
286C2×Dic53C2×C4⋊C412yes—
287C4×D53—22no—
288C4×D53—22no—
289C4×D53—22no—
290C4×D53—22no—
291C4×D53—44no—
292C4×D53—44no—
293C8×C53—22no—
294C8×C53—41no—
295C8×C53—41no—
296C8×C53—41no—
297#88322—22no—
298#88322—41no—
299#88322—41no—
300#88322—41no—
301#22697—531nomaximal, Sylow
302C22×C53—22no—
303C22×C53—22no—
304C22×C53—22no—
305C22×C53—41no—
306C22×C53—41no—
307C22×C53—41no—
308C22×C53—41no—
309C22×C53C22×C4⋊C411yescharacteristic
310C22×C53C4×#4111yescharacteristic
311C22×C53#51811yescharacteristic
312C22×C53C2×#13111yescharacteristic
313C22×C53C2×#13111yescharacteristic
314C22×C53C2×#13111yescharacteristic
315C22×C53#56811yescharacteristic
316C2×D53—22no—
317C2×D53—22no—
318C2×D53—22no—
319C2×D53—22no—
320C2×D53—22no—
321C2×D53—22no—
322C2×D53#42414yes—
323C4×C53—22no—
324C4×C53—22no—
325C4×C53—41no—
326C4×C53—41no—
327C4×C53—41no—
328C4×C53#54611yescharacteristic
329C4×C53#54611yescharacteristic
330C4×C53#55411yescharacteristic
331C4×C53#55411yescharacteristic
332Dic53—22no—
333Dic53—22no—
334Dic53—22no—
335Dic53—41no—
336Dic53—41no—
337Dic53—41no—
338Dic53—41no—
339C2×#435—531no—
340C2×C8×D4—531no—
341#2290—531no—
342#1940—531no—
343#1939—531no—
344#1851D5311yescharacteristic, complemented
345#1850—531no—
346#1850—531no—
347#1850—531no—
348#1832—531no—
349#1798—531no—
350#1797—531no—
351#1768—531no—
352#1729—531no—
353C2×#336—531no—
354C2×C53—42no—
355C2×C53#234911yescharacteristic
356C2×C53C2×#42411yescharacteristic
357C2×C53#290611yescharacteristic
358C2×C53#296611yescharacteristic
359C2×C53#296811yescharacteristic
360C2×C53#297611yescharacteristic
361C2×C53#297711yescharacteristic
362D53—24no—
363C22×M16C2×D5311yescharacteristic
364C23×C8—531no—
365C23×C8—531no—
366C23×C8—531no—
367C2×C4×D4—531no—
368C2×#117—531no—
369C22×C42—531no—
370#435—1064no—
371C8×D4—1064no—
372C2×C4⋊C8—531no—
373C2×C4⋊C8—531no—
374C2×C4⋊C8—531no—
375C2×C4⋊C8—531no—
376C2×C4⋊C8—531no—
377C2×C4⋊C8—531no—
378C2×C4⋊C8C2×D5311yescharacteristic
379C2×C4⋊C8C2×D5311yescharacteristic
380C2×C22⋊C8—531no—
381C2×C22⋊C8—531no—
382C2×C22⋊C8—531no—
383C2×C22⋊C8C2×D5311yescharacteristic
384C2×#97—531no—
385C2×C4×C8—531no—
386#388—531no—
387#388—531no—
388#387—531no—
389#387—531no—
390#386—531no—
391#386—531no—
392#385—531no—
393#385—531no—
394C4×C4⋊C4—531no—
395C4×C22⋊C4—531no—
396C4×C22⋊C4C2×D5311yescharacteristic
397#376—531no—
398#336—531no—
399#336—531no—
400#336—531no—
401#336—531no—
402#336—531no—
403#336—531no—
404#336—531no—
405#336—531no—
406#336C2×D5311yescharacteristic
407#336C2×D5311yescharacteristic
408C53#2269711yescharacteristic, complemented, Sylow
409C22×D4—531no—
410C23×C4—531no—
411C23×C4—531no—
412C23×C4—531no—
413C23×C4C22×D5311yescharacteristic
414C2×M16—22no—
415C2×M16—22no—
416C2×M16—41no—
417C22×C8—531no—
418C22×C8—531no—
419C22×C8—531no—
420C22×C8—531no—
421C22×C8—1062no—
422C22×C8—1062no—
423C22×C8—1062no—
424C22×C8—1062no—
425C22×C8—1062no—
426C22×C8—1062no—
427C22×C8—2121no—
428C22×C8—2121no—
429C22×C8—2121no—
430C22×C8C22×D5311yescharacteristic
431C22×C8C22×D5311yescharacteristic
432C22×C8C22×D5311yescharacteristic
433C22×C8C22×D5311yescharacteristic
434C4×D4—534no—
435C4×D4—534no—
436#117—2121no—
437#117—2121no—
438C2×C4⋊C4—531no—
439C2×C4⋊C4—531no—
440C2×C4⋊C4—531no—
441C2×C4⋊C4—531no—
442C2×C4⋊C4—531no—
443C2×C22⋊C4—531no—
444C2×C22⋊C4—531no—
445C2×C22⋊C4—531no—
446C2×C22⋊C4—531no—
447C2×C22⋊C4—531no—
448C2×C22⋊C4—531no—
449C2×C22⋊C4C4×D5311yescharacteristic
450C2×C22⋊C4C4×D5311yescharacteristic
451C2×C42—531no—
452C2×C42—531no—
453C2×C42—531no—
454C2×C42—531no—
455C2×C42—531no—
456C2×C42—2121no—
457C2×C42—2121no—
458C2×C42C22×D5311yescharacteristic
459C2×C42C22×D5311yescharacteristic
460C4⋊C8—22no—
461C4⋊C8—41no—
462C4⋊C8—1062no—
463C4⋊C8—1062no—
464C4⋊C8—1062no—
465C4⋊C8—2121no—
466C4⋊C8—2121no—
467C4⋊C8—2121no—
468C22⋊C8—22no—
469C22⋊C8—1062no—
470C22⋊C8—1062no—
471C22⋊C8—1062no—
472#97—1062no—
473C4×C8—1062no—
474#95—531no—
475#95—531no—
476#95—531no—
477#95—531no—
478#95—531no—
479#95—531no—
480#95—531no—
481#95—531no—
482#95C4×D5311yescharacteristic
483#95C4×D5311yescharacteristic
484C24—531no—
485C24C2×C4×D5311yescharacteristic
486C2×D4—534no—
487C2×D4—1062no—
488C2×D4—1062no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—531no—
494C22×C4—531no—
495C22×C4—531no—
496C22×C4—532no—
497C22×C4—532no—
498C22×C4—531no—
499C22×C4—531no—
500C22×C4—531no—
501C22×C4—531no—
502C22×C4—1062no—
503C22×C4—1062no—
504C22×C4—1061no—
505C22×C4—1061no—
506C22×C4—1061no—
507C22×C4—1061no—
508C22×C4—1062no—
509C22×C4—2121no—
510C22×C4—2121no—
511C22×C4—2121no—
512C22×C4C2×C4×D5311yescharacteristic
513C22×C4C2×C4×D5311yescharacteristic
514C22×C4C2×C4×D5311yescharacteristic
515C22×C4C2×C4×D5311yescharacteristic
516C22×C4C2×C4×D5311yescharacteristic
517C22×C4D4×D5312yes—
518C22×C4Q8×D5312yes—
519C22×C4C23×D5311yescharacteristic
520M16—44no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—532no—
533C2×C8—1061no—
534C2×C8—1061no—
535C2×C8—1061no—
536C2×C8—1061no—
537C2×C8—1061no—
538C2×C8—1061no—
539C2×C8—1061no—
540C2×C8—1061no—
541C2×C8—1061no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—2124no—
545C2×C8—2124no—
546C2×C8—2124no—
547C2×C8#1171994712yes—
548C4⋊C4—534no—
549C4⋊C4—1062no—
550C4⋊C4—2121no—
551C4⋊C4—2121no—
552C4⋊C4—2121no—
553C22⋊C4—22no—
554C22⋊C4—41no—
555C22⋊C4—534no—
556C22⋊C4—534no—
557C22⋊C4—1062no—
558C22⋊C4—1062no—
559C22⋊C4—2121no—
560C22⋊C4—2121no—
561C42—21no—
562C42—21no—
563C42—21no—
564C42—21no—
565C42—532no—
566C42—532no—
567C42—1061no—
568C42—1061no—
569C42—1061no—
570C42—1061no—
571C42—2121no—
572C42—2121no—
573C23—21no—
574C23—21no—
575C23—21no—
576C23—21no—
577C23—21no—
578C23—21no—
579C23—532no—
580C23—532no—
581C23—532no—
582C23—1061no—
583C23—1061no—
584C23—1061no—
585C23—1061no—
586C23C4⋊C4×D5312yes—
587C23C22×C4×D5311yescharacteristic
588D4—1068no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—532no—
607C2×C4—532no—
608C2×C4—532no—
609C2×C4—1061no—
610C2×C4—1061no—
611C2×C4—1061no—
612C2×C4—1061no—
613C2×C4—1061no—
614C2×C4—1061no—
615C2×C4—1062no—
616C2×C4—1062no—
617C2×C4—1062no—
618C2×C4—1062no—
619C2×C4—1061no—
620C2×C4—1061no—
621C2×C4—1061no—
622C2×C4—1061no—
623C2×C4—1061no—
624C2×C4—1061no—
625C2×C4—1061no—
626C2×C4—1061no—
627C2×C4—1061no—
628C2×C4—1061no—
629C2×C4—1061no—
630C2×C4—1061no—
631C2×C4—2124no—
632C2×C4—2124no—
633C2×C4C4⋊C4×D5312yes—
634C2×C4#1313322512yes—
635C2×C4C2×D4×D5311yescharacteristic
636C2×C4C2×Q8×D5311yescharacteristic
637C2×C4#41×D5311yescharacteristic
638C2×C4C2×#1171994711yescharacteristic
639C2×C4#1313326211yescharacteristic
640C2×C4#1313326311yescharacteristic
641C8—22no—
642C8—41no—
643C8—41no—
644C8—41no—
645C8—1062no—
646C8—2121no—
647C8—2121no—
648C8—2121no—
649C22—22no—
650C22—22no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—534no—
657C22—1062no—
658C22—1062no—
659C22—1062no—
660C22—1062no—
661C22—1062no—
662C22—1062no—
663C22C2×C4⋊C4×D5311yescharacteristic
664C22C4×#1171994711yescharacteristic
665C22#1681109511yescharacteristic
666C22#131×D5311yescharacteristic
667C22#131×D5311yescharacteristic
668C22C2×#1313322511yescharacteristic
669C22#1681138911yescharacteristic
670C4—22no—
671C4—22no—
672C4—41no—
673C4—41no—
674C4—41no—
675C4—1062no—
676C4—1062no—
677C4—1062no—
678C4—2121no—
679C4—2121no—
680C4—2121no—
681C4—2121no—
682C4#1681126011yescharacteristic
683C4#1681126511yescharacteristic
684C4#1681132711yescharacteristic
685C4#1681133111yescharacteristic
686C2—42no—
687C2—1064no—
688C2#2027762111yescharacteristic
689C2#424×D5311yescharacteristic
690C2#2028328411yescharacteristic
691C2#2028369311yescharacteristic
692C2#2028370611yescharacteristic
693C2#2028375911yescharacteristic
694C2#2028376611yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D53
commutator, socleC23×C53C23×C4
FittingC53×#1851C2
prime radicalC22×C22⋊D53C2×C4
cosocleC22×C4×C53C24
hypercenter#1851D53
hypocenterC53#22697
LCSG ▷ C23×C53 ▷ C53
UCSC1 ◁ C22×C4 ◁ #1851

Complements

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

NH ≅ G/Ntype
4. #20275437C2semidirect
5. #20275430C2semidirect
6. #20274895C2semidirect
7. #20274894C2semidirect
8. #20274891C2semidirect
9. #20274833C2semidirect
10. #20274697C2semidirect
11. #20274692C2semidirect
12. #20274574C2semidirect
13. #20274413C2semidirect
14. #336×D53C2semidirect
15. C53×#1851C2semidirect
344. #1851D53semidirect
408. C53#22697semidirect

Maximal subgroups

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

subgroupindex
C2×#168106922
C2×#168106862
#202771612
#202754372
#202754302
#202748952
#202748942
#202748912
#202748332
#202746972
#202746922
#202745742
#202744132
#336×D532
C53×#18512
#2269753