Finite Group Databasebeta

← #27403579

Subgroups — #27403579

Order 13568.

960 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
1C4×#13133179C211yesmaximal, characteristic
2#20275322C211yesmaximal, characteristic, complemented
3#20275320C211yesmaximal, characteristic, complemented
4#20275274C211yesmaximal, characteristic, complemented
5#20275006C211yesmaximal, characteristic
6#20275006C211yesmaximal, characteristic
7#20274857C211yesmaximal, characteristic, complemented
8#20274782C211yesmaximal, characteristic, complemented
9#20274692C211yesmaximal, characteristic, complemented
10C8×#11719921C211yesmaximal, characteristic, complemented
11#20274485C211yesmaximal, characteristic, complemented
12C4×#13133129C211yesmaximal, characteristic, complemented
13#20274459C211yesmaximal, characteristic, complemented
14#336×D53C211yesmaximal, characteristic, complemented
15C53×#1916C211yesmaximal, characteristic, complemented
16C22×C8×D53C2211yescharacteristic
17C22×C8×D53C2211yescharacteristic
18C2×C4×D212C2211yescharacteristic
19C2×#13133179C411yescharacteristic
20C2×#13133179C411yescharacteristic
21C2×C42×D53C2211yescharacteristic
22C2×C42×D53C2211yescharacteristic
23C2×C4⋊#88322C2211yescharacteristic
24C2×#13133129C2211yescharacteristic
25C2×#13133129C2211yescharacteristic
26C2×#13133129C2211yescharacteristic
27C2×#13133129C2211yescharacteristic
28C2×#13133129C2211yescharacteristic
29C2×#13133129C2211yescharacteristic
30C2×C4×#88322C2211yescharacteristic
31C2×C8×Dic53C2211yescharacteristic
32C2×C8×Dic53C2211yescharacteristic
33C4⋊C4×Dic53C411yescharacteristic
34C4⋊C4×Dic53C411yescharacteristic
35C4×#11719921C2211yescharacteristic
36C4×#11719921C2211yescharacteristic
37#16810470C411yescharacteristic
38#16810470C411yescharacteristic
39#16810470C411yescharacteristic
40#16810470C411yescharacteristic
41C42×Dic53C2211yescharacteristic
42#16810378C2211yescharacteristic
43#16810378C2211yescharacteristic
44#16810378C2211yescharacteristic
45#16810378C2211yescharacteristic
46#16810377C2211yescharacteristic
47#16810377C2211yescharacteristic
48#16810377C2211yescharacteristic
49#16810377C2211yescharacteristic
50#16810377C2211yescharacteristic
51#16810377C2211yescharacteristic
52C2×C4⋊C8×C53C2211yescharacteristic
53C2×C4×C8×C53C2211yescharacteristic
54C4×C4⋊C4×C53C2211yescharacteristic
55C53×#336C2211yescharacteristic
56C53×#336C2211yescharacteristic
57C53×#336C2211yescharacteristic
58C53×#336C2211yescharacteristic
59C22×D212C2×C411yescharacteristic
60C22×C4×D53C2×C411yescharacteristic
61C22×C4×D53C2×C411yescharacteristic
62C22×C4×D53C2×C411yescharacteristic
63C22×C4×D53C2×C411yescharacteristic
64C22×C4×D53C2311yescharacteristic
65C22×C4×D53C2311yescharacteristic
66C22×#88322C2311yescharacteristic
67C22×#88322C2311yescharacteristic
68C22×#88322C2311yescharacteristic
69C22×#88322C2311yescharacteristic
70C2×C8×D53—22no—
71C2×C8×D53—22no—
72C2×C8×D53—22no—
73C2×C8×D53—22no—
74C2×C8×D53—41no—
75C2×C8×D53—41no—
76C4×D212—22no—
77C4×D212—22no—
78#13133179—24no—
79#13133179C818yescomplemented
80C2×C4⋊Dic53C2×C411yescharacteristic
81C2×#11719921C2×C411yescharacteristic
82C2×#11719921C2×C411yescharacteristic
83C2×#11719921C2×C411yescharacteristic
84C2×#11719921C2×C411yescharacteristic
85C2×#11719921C2×C411yescharacteristic
86C2×#11719921C2×C411yescharacteristic
87C2×C4×Dic53C2×C411yescharacteristic
88C2×C4×Dic53C2×C411yescharacteristic
89C2×C4×Dic53C2×C411yescharacteristic
90C2×C4×Dic53C2×C411yescharacteristic
91C2×C4×Dic53C2×C411yescharacteristic
92C2×C4×Dic53C2×C411yescharacteristic
93C2×C4×Dic53C2×C411yescharacteristic
94C2×C4×Dic53C2×C411yescharacteristic
95C2×C4×Dic53C2311yescharacteristic
96C2×C4×Dic53C2311yescharacteristic
97C42×D53—41no—
98C42×D53—41no—
99C42×D53—41no—
100C42×D53—41no—
101C4⋊#88322—41no—
102#13133129—22no—
103#13133129—22no—
104#13133129—22no—
105#13133129—22no—
106#13133129—41no—
107#13133129—41no—
108C4×#88322—41no—
109C8×Dic53—22no—
110C8×Dic53—22no—
111#13133124C2×C411yescharacteristic
112#13133124C2×C411yescharacteristic
113#13133124C2×C411yescharacteristic
114#13133124C2×C411yescharacteristic
115C22×C8×C53C2311yescharacteristic
116C22×C8×C53C2311yescharacteristic
117C22×C8×C53C2311yescharacteristic
118C22×C8×C53C2311yescharacteristic
119C2×C4⋊C4×C53C2×C411yescharacteristic
120C2×C4⋊C4×C53C2×C411yescharacteristic
121C2×C42×C53C2311yescharacteristic
122C2×C42×C53C2311yescharacteristic
123C2×C42×C53C2311yescharacteristic
124C4⋊C8×C53—41no—
125C4×C8×C53—41no—
126#95×C53C2×C411yescharacteristic
127#95×C53C2×C411yescharacteristic
128C23×D53C22×C411yescharacteristic
129C23×D53C22×C411yescharacteristic
130C22×C4×C53C22×C411yescharacteristic
131C22×C4×C53C22×C411yescharacteristic
132C22×C4×C53C22×C411yescharacteristic
133C22×C4×C53C22×C411yescharacteristic
134C22×C4×C53C22×C411yescharacteristic
135C22×C4×C53C22×C411yescharacteristic
136C22×C4×C53C2411yescharacteristic
137C22×Dic53C22×C411yescharacteristic
138C22×Dic53C22×C411yescharacteristic
139C22×Dic53C22×C411yescharacteristic
140C22×Dic53C22×C411yescharacteristic
141C22×Dic53C22×C411yescharacteristic
142C22×Dic53C22×C411yescharacteristic
143C2×D212—22no—
144C2×D212—22no—
145C2×D212C2×C814yes—
146C2×C4×D53—21no—
147C2×C4×D53—21no—
148C2×C4×D53—21no—
149C2×C4×D53—21no—
150C2×C4×D53—22no—
151C2×C4×D53—22no—
152C2×C4×D53—21no—
153C2×C4×D53—21no—
154C2×C4×D53—21no—
155C2×C4×D53—21no—
156C2×C4×D53—21no—
157C2×C4×D53—21no—
158C2×C4×D53—22no—
159C2×C4×D53—22no—
160C2×C4×D53—41no—
161C2×C4×D53—41no—
162C2×C4×D53—41no—
163C2×C4×D53—41no—
164C2×C4×D53—41no—
165C2×C4×D53—41no—
166C2×C4×D53C2×C814yes—
167C2×C4×D53C2×C814yescomplemented
168C2×C4×D53#4112yes—
169C2×C4×D53#4112yes—
170C2×C8×C53—21no—
171C2×C8×C53—21no—
172C2×C8×C53—21no—
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#4112yes—
182C4⋊C4×C53—22no—
183C4⋊C4×C53C2×C814yescomplemented
184C42×C53—21no—
185C42×C53—21no—
186C42×C53—21no—
187C42×C53—21no—
188C42×C53—21no—
189C42×C53—21no—
190#11719921—22no—
191#11719921—22no—
192#11719921—22no—
193#11719921C2×C814yes—
194#11719921C2×C814yescomplemented
195#11719921M1614yes—
196C4⋊Dic53—22no—
197C4×Dic53—21no—
198C4×Dic53—21no—
199C4×Dic53—21no—
200C4×Dic53—21no—
201C4×Dic53—22no—
202C4×Dic53—22no—
203C4×Dic53—41no—
204C4×Dic53—41no—
205C4×Dic53—41no—
206C4×Dic53—41no—
207C4×Dic53—41no—
208C4×Dic53C2×C814yescomplemented
209C2×#88322—21no—
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#4112yes—
221C8×D53—44no—
222C8×D53—44no—
223C23×C53C23×C411yescharacteristic
224C22×D53—21no—
225C22×D53—21no—
226C22×D53—21no—
227C22×D53—21no—
228C22×D53—21no—
229C22×D53—21no—
230C22×D53—21no—
231C22×D53—21no—
232C22×D53—21no—
233C22×D53—21no—
234C22×D53#11712yes—
235C22×D53C22×C812yes—
236C22×D53C22×C812yes—
237C22×D53C2×M1612yes—
238C2×C4×C53—21no—
239C2×C4×C53—21no—
240C2×C4×C53—21no—
241C2×C4×C53—21no—
242C2×C4×C53—21no—
243C2×C4×C53—21no—
244C2×C4×C53—21no—
245C2×C4×C53—21no—
246C2×C4×C53—21no—
247C2×C4×C53—21no—
248C2×C4×C53—21no—
249C2×C4×C53—21no—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53C22×C812yes—
253C2×C4×C53C22×C812yes—
254C2×C4×C53C22×C812yes—
255C2×C4×C53C2×M1612yes—
256C2×C4×C53C2×#4111yescharacteristic
257C2×C4×C53C2×#4111yescharacteristic
258C2×C4×C53C2×#4111yescharacteristic
259C2×C4×C53C2×#4111yescharacteristic
260C2×C4×C53H(5,𝔽2)11yescharacteristic
261C2×C4×C53H(5,𝔽2)11yescharacteristic
262C2×Dic53—21no—
263C2×Dic53—21no—
264C2×Dic53—21no—
265C2×Dic53—21no—
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#11712yes—
276C2×Dic53C22×C812yes—
277C2×Dic53C22×C812yes—
278C2×Dic53C2×M1612yes—
279C2×Dic53#13112yes—
280D212—28no—
281C4×D53—22no—
282C4×D53—22no—
283C4×D53—22no—
284C4×D53—22no—
285C4×D53—44no—
286C4×D53—44no—
287C4×D53—44no—
288C4×D53—44no—
289C4×D53—41no—
290C4×D53—41no—
291C4×D53—41no—
292C4×D53—41no—
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#22785—531nomaximal, Sylow
302C22×C53C2×#11711yescharacteristic
303C22×C53C4×#4111yescharacteristic
304C22×C53#51811yescharacteristic
305C22×C53C23×C811yescharacteristic
306C22×C53C22×M1611yescharacteristic
307C22×C53C2×#13111yescharacteristic
308C22×C53#56811yescharacteristic
309C2×D53—22no—
310C2×D53—22no—
311C2×D53—22no—
312C2×D53—22no—
313C2×D53—22no—
314C2×D53—22no—
315C2×D53—22no—
316C2×D53—22no—
317C2×D53—22no—
318C2×D53—41no—
319C2×D53—41no—
320C2×D53—41no—
321C2×D53—41no—
322C2×D53#43114yes—
323C4×C53—22no—
324C4×C53—22no—
325C4×C53—22no—
326C4×C53—22no—
327C4×C53—41no—
328C4×C53—41no—
329C4×C53#55111yescharacteristic
330C4×C53#55111yescharacteristic
331C4×C53#55311yescharacteristic
332C4×C53#55311yescharacteristic
333Dic53—22no—
334Dic53—22no—
335Dic53—22no—
336Dic53—22no—
337Dic53—22no—
338Dic53—41no—
339C42×D4—531no—
340#1923—531no—
341#1923—531no—
342#1916—531no—
343#1916D5311yescharacteristic, complemented
344#1869—531no—
345#1869—531no—
346#1839—531no—
347#1817—531no—
348#1797—531no—
349C8×C22⋊C4—531no—
350C8×C22⋊C4—531no—
351C4×C22⋊C8—531no—
352#1744—531no—
353C2×#336—531no—
354C2×C53#235311yescharacteristic
355C2×C53C2×#43111yescharacteristic
356C2×C53#292511yescharacteristic
357C2×C53C8×#4111yescharacteristic
358C2×C53#297011yescharacteristic
359C2×C53#297211yescharacteristic
360C2×C53#297411yescharacteristic
361D53—24no—
362D53—42no—
363C23×C8—531no—
364C23×C8—531no—
365C2×C4×D4—531no—
366C2×C4×D4—531no—
367C2×C4×D4—531no—
368C22×C42—531no—
369C22×C42—531no—
370C2×C4⋊C8—531no—
371C2×C4⋊C8C2×D5311yescharacteristic
372C2×C22⋊C8—531no—
373C2×C22⋊C8—531no—
374C2×C22⋊C8—531no—
375C2×C22⋊C8—531no—
376C2×C22⋊C8—531no—
377C2×C22⋊C8—531no—
378C2×C4×C8—531no—
379C2×C4×C8—531no—
380C2×C4×C8—531no—
381C2×C4×C8C2×D5311yescharacteristic
382C4×C4⋊C4—531no—
383C4×C4⋊C4—531no—
384C4×C4⋊C4C2×D5311yescharacteristic
385C4×C22⋊C4—531no—
386C4×C22⋊C4—531no—
387C4×C22⋊C4—531no—
388C4×C22⋊C4—531no—
389C4×C22⋊C4—531no—
390C4×C22⋊C4—531no—
391C43—531no—
392#336—531no—
393#336—531no—
394#336—531no—
395#336—531no—
396#336—531no—
397#336—531no—
398#336—531no—
399#336—531no—
400#336—531no—
401#336—531no—
402#336C2×D5311yescharacteristic
403#336C2×D5311yescharacteristic
404#336C2×D5311yescharacteristic
405#336C2×D5311yescharacteristic
406C53#2278511yescharacteristic, complemented, Sylow
407C22×D4—531no—
408C23×C4—531no—
409C23×C4—531no—
410C23×C4—531no—
411C23×C4—531no—
412C23×C4—531no—
413C23×C4—531no—
414C22×C8—531no—
415C22×C8—531no—
416C22×C8—531no—
417C22×C8—531no—
418C22×C8—1062no—
419C22×C8—1062no—
420C22×C8—1062no—
421C22×C8—1062no—
422C22×C8—2121no—
423C22×C8—2121no—
424C22×C8C22×D5311yescharacteristic
425C22×C8C22×D5311yescharacteristic
426C22×C8C22×D5311yescharacteristic
427C22×C8C22×D5311yescharacteristic
428C4×D4—538no—
429C4×D4—1062no—
430C4×D4—1062no—
431C4×D4—1064no—
432C2×C4⋊C4—531no—
433C2×C4⋊C4C4×D5311yescharacteristic
434C2×C4⋊C4C4×D5311yescharacteristic
435C2×C22⋊C4—531no—
436C2×C22⋊C4—531no—
437C2×C22⋊C4—531no—
438C2×C22⋊C4—531no—
439C2×C22⋊C4—531no—
440C2×C22⋊C4—531no—
441C2×C42—531no—
442C2×C42—531no—
443C2×C42—531no—
444C2×C42—531no—
445C2×C42—531no—
446C2×C42—531no—
447C2×C42—531no—
448C2×C42—531no—
449C2×C42—531no—
450C2×C42—531no—
451C2×C42—2121no—
452C2×C42—2121no—
453C2×C42—2121no—
454C2×C42—2121no—
455C2×C42C22×D5311yescharacteristic
456C2×C42C22×D5311yescharacteristic
457C2×C42C22×D5311yescharacteristic
458C4⋊C8—41no—
459C4⋊C8—2121no—
460C22⋊C8—1062no—
461C22⋊C8—1062no—
462C22⋊C8—1062no—
463C22⋊C8—1062no—
464C22⋊C8—2121no—
465C22⋊C8—2121no—
466C4×C8—41no—
467C4×C8—1062no—
468C4×C8—1062no—
469C4×C8—2121no—
470#95—531no—
471#95—531no—
472#95—531no—
473#95—531no—
474#95C4×D5311yescharacteristic
475#95C4×D5311yescharacteristic
476C24—531no—
477C24—531no—
478C2×D4—534no—
479C2×D4—1062no—
480C2×D4—1062no—
481C22×C4—531no—
482C22×C4—531no—
483C22×C4—531no—
484C22×C4—531no—
485C22×C4—531no—
486C22×C4—532no—
487C22×C4—532no—
488C22×C4—534no—
489C22×C4—534no—
490C22×C4—531no—
491C22×C4—1062no—
492C22×C4—1062no—
493C22×C4—1062no—
494C22×C4—1061no—
495C22×C4—1061no—
496C22×C4—1061no—
497C22×C4—1061no—
498C22×C4—1062no—
499C22×C4—1061no—
500C22×C4—1061no—
501C22×C4—1061no—
502C22×C4—1061no—
503C22×C4—1061no—
504C22×C4—1061no—
505C22×C4—2121no—
506C22×C4—2121no—
507C22×C4—2121no—
508C22×C4—2121no—
509C22×C4—2121no—
510C22×C4—2121no—
511C22×C4C2×C4×D5311yescharacteristic
512C22×C4C2×C4×D5311yescharacteristic
513C22×C4C2×C4×D5311yescharacteristic
514C22×C4C2×C4×D5311yescharacteristic
515C22×C4C2×C4×D5311yescharacteristic
516C22×C4C2×C4×D5311yescharacteristic
517C22×C4C23×D5311yescharacteristic
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
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—532no—
530C2×C8—1061no—
531C2×C8—1061no—
532C2×C8—1061no—
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—2124no—
542C2×C8—2124no—
543C2×C8#1171994912yes—
544C4⋊C4—22no—
545C4⋊C4—1062no—
546C4⋊C4C8×D5314yescomplemented
547C22⋊C4—534no—
548C22⋊C4—534no—
549C22⋊C4—534no—
550C22⋊C4—1062no—
551C22⋊C4—1062no—
552C22⋊C4—1062no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—534no—
560C42—1062no—
561C42—1062no—
562C42—1061no—
563C42—1061no—
564C42—1061no—
565C42—1061no—
566C42—2121no—
567C42—2121no—
568C42—2121no—
569C42—2121no—
570C42—2121no—
571C23—532no—
572C23—532no—
573C23—532no—
574C23—532no—
575C23—1061no—
576C23—1061no—
577C23—1061no—
578C23—1061no—
579C23—1061no—
580C23—1061no—
581C23—1061no—
582C23—1061no—
583C23—1061no—
584C23—1061no—
585C23C22×C4×D5311yescharacteristic
586D4—1068no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—532no—
602C2×C4—532no—
603C2×C4—532no—
604C2×C4—532no—
605C2×C4—532no—
606C2×C4—1061no—
607C2×C4—1061no—
608C2×C4—1061no—
609C2×C4—1061no—
610C2×C4—1061no—
611C2×C4—1061no—
612C2×C4—1061no—
613C2×C4—1061no—
614C2×C4—1061no—
615C2×C4—1061no—
616C2×C4—1062no—
617C2×C4—1062no—
618C2×C4—1062no—
619C2×C4—1062no—
620C2×C4—1061no—
621C2×C4—1061no—
622C2×C4—1061no—
623C2×C4—2124no—
624C2×C4—2124no—
625C2×C4—2124no—
626C2×C4—2124no—
627C2×C4—2121no—
628C2×C4—2121no—
629C2×C4—2121no—
630C2×C4—2121no—
631C2×C4C2×C8×D5312yes—
632C2×C4C2×C8×D5312yes—
633C2×C4C2×C8×D5312yes—
634C2×C4M16×D5312yes—
635C2×C4#41×D5311yescharacteristic
636C2×C4#41×D5311yescharacteristic
637C2×C4#41×D5311yescharacteristic
638C2×C4C2×#1171994911yescharacteristic
639C2×C4#1313326211yescharacteristic
640C2×C4#1313326311yescharacteristic
641C8—22no—
642C8—41no—
643C8—41no—
644C8—41no—
645C8—1062no—
646C8—2121no—
647C8—2121no—
648C8—2121no—
649C22—534no—
650C22—1062no—
651C22—1062no—
652C22—1062no—
653C22—1062no—
654C22—1062no—
655C22—1062no—
656C22—1062no—
657C22—1062no—
658C22—1062no—
659C22—2121no—
660C22—2121no—
661C22—2121no—
662C22—2121no—
663C22#117×D5311yescharacteristic
664C22C4×#1171994911yescharacteristic
665C22#1681109511yescharacteristic
666C22C22×C8×D5311yescharacteristic
667C22C2×M16×D5311yescharacteristic
668C22#131×D5311yescharacteristic
669C22#1681138811yescharacteristic
670C4—22no—
671C4—22no—
672C4—22no—
673C4—22no—
674C4—41no—
675C4—41no—
676C4—1062no—
677C4—1062no—
678C4—1062no—
679C4—1062no—
680C4—1062no—
681C4—2121no—
682C4#1681129811yescharacteristic
683C4#1681130011yescharacteristic
684C4#1681131811yescharacteristic
685C4#1681132611yescharacteristic
686C2—1064no—
687C2—2122no—
688C2#2027765411yescharacteristic
689C2#431×D5311yescharacteristic
690C2#2028337811yescharacteristic
691C2C8×#1171994911yescharacteristic
692C2#2028372811yescharacteristic
693C2#2028373611yescharacteristic
694C2#2028374511yescharacteristic
subgroupG/H
center, FrattiniC22×C4C23×D53
commutatorC22×C53C23×C8
FittingC53×#1916C2
socleC23×C53C23×C4
prime radicalC22×D212C2×C4
cosocleC22×C4×C53C24
hypercenter#1916D53
hypocenterC53#22785
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22×C4 ◁ #1916

Complements

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

NH ≅ G/Ntype
2. #20275322C2semidirect
3. #20275320C2semidirect
4. #20275274C2semidirect
7. #20274857C2semidirect
8. #20274782C2semidirect
9. #20274692C2semidirect
10. C8×#11719921C2semidirect
11. #20274485C2semidirect
12. C4×#13133129C2semidirect
13. #20274459C2semidirect
14. #336×D53C2semidirect
15. C53×#1916C2semidirect
79. #13133179C8semidirect
167. C2×C4×D53C2×C8semidirect
183. C4⋊C4×C53C2×C8semidirect
194. #11719921C2×C8semidirect
208. C4×Dic53C2×C8semidirect
343. #1916D53semidirect
406. C53#22785semidirect
546. C4⋊C4C8×D53semidirect

Maximal subgroups

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

subgroupindex
C4×#131331792
#202753222
#202753202
#202752742
#202750062
#202748572
#202747822
#202746922
C8×#117199212
#202744852
C4×#131331292
#202744592
#336×D532
C53×#19162
#2278553