Finite Group Databasebeta

← #27389357

Subgroups — #27389357

Order 13568.

1134 conjugacy classes of subgroups.

The subgroup lattice has 710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811244C211yesmaximal, characteristic
2C2×#16810579C211yesmaximal, characteristic, complemented
3#20275687C211yesmaximal, characteristic, complemented
4#20275675C211yesmaximal, characteristic, complemented
5#20275529C211yesmaximal, characteristic, complemented
6#20275524C211yesmaximal, characteristic, complemented
7#20275151C211yesmaximal, characteristic
8#20275146C211yesmaximal, characteristic, complemented
9#20275141C211yesmaximal, characteristic
10#20275136C211yesmaximal, characteristic, complemented
11#20274548C211yesmaximal, characteristic, complemented
12#20274543C211yesmaximal, characteristic, complemented
13C4×#13133140C211yesmaximal, characteristic, complemented
14C4×#13133137C211yesmaximal, characteristic, complemented
15C53×#2314C211yesmaximal, characteristic, complemented
16C22×#11719917C2211yescharacteristic
17C23×#88322C2211yescharacteristic
18#16811244—24no—
19#16811244C418yescomplemented
20C2×#13133217C2211yescharacteristic
21C2×#13133212—21no—
22C2×#13133205C2211yescharacteristic
23C2×#13133203—21no—
24C2×#13133199—21no—
25C2×#13133196C2211yescharacteristic
26C2×#13133195—21no—
27C2×#13133191C2211yescharacteristic
28C2×C4×Dic106C2211yescharacteristic
29C2×C4×D212C2211yescharacteristic
30C2×#13133140C2211yescharacteristic
31C2×#13133140C2211yescharacteristic
32C2×#13133140C2211yescharacteristic
33C2×#13133140C2211yescharacteristic
34C2×#13133137C2211yescharacteristic
35C2×#13133137C2211yescharacteristic
36C2×#13133137C2211yescharacteristic
37C2×#13133137C2211yescharacteristic
38#16810579—24no—
39C2×#13133128C2211yescharacteristic
40C2×#13133128C2211yescharacteristic
41C2×C4×#88322C2211yescharacteristic
42C2×C4×#88322C2211yescharacteristic
43#16810385C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810385C2211yescharacteristic
49#16810385C2211yescharacteristic
50#16810385C2211yescharacteristic
51C2×#117×C53C2211yescharacteristic
52C53×#388—21no—
53C53×#388—21no—
54C53×#387—21no—
55C53×#387—21no—
56C53×#384C2211yescharacteristic
57C53×#382C2211yescharacteristic
58C53×#380C2211yescharacteristic
59C53×#380C2211yescharacteristic
60C4×C4⋊C4×C53C2211yescharacteristic
61C4×C4⋊C4×C53C2211yescharacteristic
62C22×Dic106—21no—
63C22×Dic106C2311yescharacteristic
64C22×D212C2311yescharacteristic
65C22×C22⋊D53—21no—
66C22×C4×D53—21no—
67C2×#11719917—22no—
68C2×#11719917—22no—
69C2×#11719917—22no—
70C22×#88322—22no—
71C22×#88322—22no—
72C22×#88322—22no—
73C22×#88322C2311yescharacteristic
74C22×#88322C2311yescharacteristic
75C22×#88322C2311yescharacteristic
76C22×#88322C2311yescharacteristic
77#13133217—22no—
78#13133217C2×C414yes—
79#13133212—28no—
80#13133205—22no—
81#13133205C2×C414yes—
82#13133203—28no—
83#13133199—28no—
84#13133196—22no—
85#13133196C2×C414yes—
86#13133195—28no—
87#13133191—22no—
88#13133191C2×C414yes—
89C4×Dic106—22no—
90C4×Dic106C2×C414yes—
91C4×D212—22no—
92C4×D212C2×C414yes—
93C2×C4⋊Dic53—21no—
94C2×C4⋊Dic53C2311yescharacteristic
95C2×C4⋊Dic53C2311yescharacteristic
96C2×#11719919—21no—
97C2×#11719919—21no—
98C2×C22⋊Dic53—21no—
99C2×#11719921—21no—
100C2×#11719921—21no—
101C2×#11719921—21no—
102C2×#11719921—21no—
103C2×C4×Dic53—21no—
104#13133140—22no—
105#13133140—22no—
106#13133140—22no—
107#13133140—22no—
108#13133137—22no—
109#13133137—22no—
110#13133137—22no—
111#13133137—22no—
112#13133128—22no—
113#13133128—22no—
114C4×#88322—22no—
115C4×#88322—22no—
116C23×C4×C53C2311yescharacteristic
117#117×C53C2×C414yes—
118#117×C53D414yes—
119C2×C4⋊C4×C53—21no—
120C2×C4⋊C4×C53—21no—
121C2×C4⋊C4×C53D411yescharacteristic
122C2×C4⋊C4×C53D411yescharacteristic
123C2×C4⋊C4×C53C2311yescharacteristic
124C2×C4⋊C4×C53C2311yescharacteristic
125C2×C4⋊C4×C53C2311yescharacteristic
126C2×C4⋊C4×C53C2311yescharacteristic
127C2×C22⋊C4×C53—21no—
128C2×C22⋊C4×C53—21no—
129C2×C22⋊C4×C53D411yescharacteristic
130C2×C22⋊C4×C53D411yescharacteristic
131C2×C42×C53—21no—
132C2×C42×C53—21no—
133C2×C42×C53C2311yescharacteristic
134C2×C42×C53C2311yescharacteristic
135#95×C53—21no—
136#95×C53—21no—
137#95×C53—21no—
138#95×C53—21no—
139#95×C53—21no—
140#95×C53—21no—
141C24×C53C2×D411yescharacteristic
142C23×D53—21no—
143C22×C4×C53—21no—
144C22×C4×C53—21no—
145C22×C4×C53—21no—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—21no—
149C22×C4×C53—21no—
150C22×C4×C53—21no—
151C22×C4×C53C22×C412yes—
152C22×C4×C53C2×D411yescharacteristic
153C22×C4×C53C2×D411yescharacteristic
154C22×C4×C53C2×D411yescharacteristic
155C22×C4×C53C2×D411yescharacteristic
156C22×C4×C53C2×D411yescharacteristic
157C22×C4×C53C2×D412yes—
158C22×C4×C53C2411yescharacteristic
159C2×C22⋊D53—24no—
160C2×C22⋊D53—81no—
161C2×C22⋊D53—81no—
162C22×Dic53—21no—
163C22×Dic53—21no—
164C22×Dic53—21no—
165C2×D212—21no—
166C2×D212—21no—
167C2×D212—21no—
168C2×D212—21no—
169C2×D212—21no—
170C2×D212C22×C412yes—
171C2×C4×D53—24no—
172C2×C4×D53—81no—
173C2×C4×D53—81no—
174C2×Dic106—21no—
175C2×Dic106—21no—
176C2×Dic106—21no—
177C2×Dic106—21no—
178C2×Dic106—21no—
179C2×Dic106—24no—
180C2×Dic106—81no—
181C2×Dic106—81no—
182C2×Dic106C22×C412yes—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—21no—
187C4⋊C4×C53—21no—
188C4⋊C4×C53—21no—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—81no—
192C4⋊C4×C53—81no—
193C4⋊C4×C53C22⋊C414yes—
194C4⋊C4×C53C22⋊C414yes—
195C22⋊C4×C53—81no—
196C22⋊C4×C53—81no—
197C22⋊C4×C53C22⋊C414yes—
198C22⋊C4×C53C22⋊C414yes—
199C42×C53—81no—
200C42×C53—81no—
201C42×C53C22×C412yes—
202C42×C53C22×C412yes—
203C42×C53C2×D412yes—
204C42×C53C2×D412yes—
205C22⋊Dic53—24no—
206#11719921—24no—
207#11719921—24no—
208#11719921—24no—
209#11719921—24no—
210C4⋊Dic53—24no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53C22×C412yes—
214C4⋊Dic53C22×C412yes—
215#11719919—24no—
216#11719919—24no—
217C4×Dic53—24no—
218#11719917—28no—
219C2×#88322—28no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322—21no—
227C2×#88322—21no—
228C2×#88322#4112yes—
229C2×#88322#4112yes—
230C2×#88322#4112yes—
231C2×#88322#4112yes—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—21no—
235C23×C53—21no—
236C23×C53—21no—
237C23×C53—21no—
238C23×C53C2×C22⋊C412yes—
239C23×C53C22×D411yescharacteristic
240C22×D53—22no—
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245C22×D53—41no—
246C22×D53—41no—
247C2×C4×C53—21no—
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×C53—22no—
258C2×C4×C53—22no—
259C2×C4×C53—22no—
260C2×C4×C53—22no—
261C2×C4×C53—41no—
262C2×C4×C53—41no—
263C2×C4×C53—41no—
264C2×C4×C53—41no—
265C2×C4×C53—41no—
266C2×C4×C53—41no—
267C2×C4×C53—41no—
268C2×C4×C53—41no—
269C2×C4×C53—41no—
270C2×C4×C53—41no—
271C2×C4×C53—41no—
272C2×C4×C53—41no—
273C2×C4×C53C2×C22⋊C412yes—
274C2×C4×C53C2×C22⋊C412yes—
275C2×C4×C53C2×C22⋊C412yes—
276C2×C4×C53C2×C22⋊C412yes—
277C2×C4×C53C2×C22⋊C412yes—
278C2×C4×C53C23×C411yescharacteristic
279C2×C4×C53C22×D411yescharacteristic
280C2×C4×C53C2×#4111yescharacteristic
281C2×C4×C53C2×#4111yescharacteristic
282C2×C4×C53C2×#4111yescharacteristic
283C2×C4×C53C2×#4111yescharacteristic
284C22⋊D53—84no—
285C2×Dic53—22no—
286C2×Dic53—22no—
287C2×Dic53—22no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294D212—22no—
295D212—22no—
296D212—41no—
297D212—41no—
298C4×D53—84no—
299Dic106—22no—
300Dic106—22no—
301Dic106—41no—
302Dic106—41no—
303Dic106—84no—
304#88322—22no—
305#88322—22no—
306#88322—22no—
307#88322—22no—
308#21412—531nomaximal, Sylow
309C22×C53—22no—
310C22×C53—22no—
311C22×C53—22no—
312C22×C53—41no—
313C22×C53—41no—
314C22×C53—41no—
315C22×C53—41no—
316C22×C53C22×C22⋊C411yescharacteristic
317C22×C53#53211yescharacteristic
318C22×C53#53211yescharacteristic
319C22×C53#57611yescharacteristic
320C22×C53#57711yescharacteristic
321C22×C53#57711yescharacteristic
322C22×C53#57811yescharacteristic
323C2×D53—42no—
324C2×D53—42no—
325C2×D53—42no—
326C2×D53—81no—
327C2×D53—81no—
328C2×D53—81no—
329C2×D53—81no—
330C4×C53—22no—
331C4×C53—22no—
332C4×C53—22no—
333C4×C53—22no—
334C4×C53—22no—
335C4×C53—81no—
336C4×C53—81no—
337C4×C53—81no—
338C4×C53—81no—
339C4×C53C4×#4111yescharacteristic
340C4×C53C4×#4111yescharacteristic
341C4×C53#52511yescharacteristic
342C4×C53#52511yescharacteristic
343Dic53—42no—
344Dic53—42no—
345Dic53—42no—
346C2×#542—531no—
347C2×#405—531no—
348#2314D5311yescharacteristic, complemented
349#1993—531no—
350#1990—531no—
351#1959—531no—
352#1958—531no—
353#1895—531no—
354#1894—531no—
355#1893—531no—
356#1892—531no—
357#1763—531no—
358#1762—531no—
359C4×#103—531no—
360C4×#102—531no—
361C2×C53—42no—
362C2×C53#229711yescharacteristic
363C2×C53#289711yescharacteristic
364C2×C53#289811yescharacteristic
365C2×C53#317311yescharacteristic
366C2×C53#317511yescharacteristic
367C2×C53#317811yescharacteristic
368C2×C53#317911yescharacteristic
369D53—82no—
370C22×M16—531no—
371C23×C8—531no—
372#542—538no—
373#542—1064no—
374C2×C4⋊Q8—531no—
375C2×#126—1061no—
376C2×#124—531no—
377C2×#124—1061no—
378C2×#123—1061no—
379C2×C22⋊Q8—531no—
380C2×C22⋊Q8—1061no—
381C2×#121—531no—
382C2×C4×Q8—531no—
383C2×C4×D4—531no—
384C2×#117C2×D5311yescharacteristic
385C2×#103—531no—
386C2×#103—531no—
387C2×#103—531no—
388C2×#103—531no—
389C2×#102—531no—
390C2×#102—531no—
391C2×#102—531no—
392C2×#102—531no—
393#405—1064no—
394C2×#97—531no—
395C2×#97—531no—
396C2×C4×C8—531no—
397C2×C4×C8—531no—
398#388—21no—
399#388—21no—
400#387—21no—
401#387—21no—
402#384C2×D5311yescharacteristic
403#382C2×D5311yescharacteristic
404#380C2×D5311yescharacteristic
405#380C2×D5311yescharacteristic
406C4×C4⋊C4C2×D5311yescharacteristic
407C4×C4⋊C4C2×D5311yescharacteristic
408#340—531no—
409#340—531no—
410#340—531no—
411#340—531no—
412#340—531no—
413#340—531no—
414#340—531no—
415#340—531no—
416C53#2141211yescharacteristic, complemented, Sylow
417C22×Q8—531no—
418C22×Q8—1061no—
419C22×D4—531no—
420C22×D4—1061no—
421C23×C4—1061no—
422C23×C4C22×D5311yescharacteristic
423C2×M16—1062no—
424C2×M16—1062no—
425C2×M16—1062no—
426C22×C8—531no—
427C22×C8—531no—
428C22×C8—531no—
429C22×C8—531no—
430C22×C8—1062no—
431C22×C8—1062no—
432C22×C8—1062no—
433C4⋊Q8—534no—
434C4⋊Q8—1062no—
435#126—1068no—
436#124—534no—
437#124—1068no—
438#124—1062no—
439#123—1068no—
440C22⋊Q8—534no—
441C22⋊Q8—1062no—
442C22⋊Q8—1068no—
443#121—534no—
444#121—1062no—
445C4×Q8—534no—
446C4×Q8—1062no—
447C4×D4—534no—
448C4×D4—1062no—
449#117C4×D5314yes—
450#117D21214yes—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—531no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—1061no—
456C2×C4⋊C4—1061no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4C22⋊D5311yescharacteristic
459C2×C4⋊C4C22⋊D5311yescharacteristic
460C2×C4⋊C4C22×D5311yescharacteristic
461C2×C4⋊C4C22×D5311yescharacteristic
462C2×C4⋊C4C22×D5311yescharacteristic
463C2×C4⋊C4C22×D5311yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—1061no—
467C2×C22⋊C4—1061no—
468C2×C22⋊C4—1061no—
469C2×C22⋊C4—1061no—
470C2×C22⋊C4—1061no—
471C2×C22⋊C4C22⋊D5311yescharacteristic
472C2×C22⋊C4C22⋊D5311yescharacteristic
473C2×C42—21no—
474C2×C42—21no—
475C2×C42—1061no—
476C2×C42C22×D5311yescharacteristic
477C2×C42C22×D5311yescharacteristic
478#103—1062no—
479#103—1062no—
480#103—1062no—
481#103—1062no—
482#102—1062no—
483#102—1062no—
484#102—1062no—
485#102—1062no—
486#97—1062no—
487#97—1062no—
488C4×C8—1062no—
489C4×C8—1062no—
490#95—21no—
491#95—21no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—21no—
496C24—1061no—
497C24C2×C22⋊D5311yescharacteristic
498C2×Q8—532no—
499C2×Q8—1064no—
500C2×Q8—1061no—
501C2×Q8—1061no—
502C2×Q8—1061no—
503C2×Q8—1061no—
504C2×Q8—1061no—
505C2×Q8—4241no—
506C2×Q8—4241no—
507C2×D4—532no—
508C2×D4—1064no—
509C2×D4—1061no—
510C2×D4—1061no—
511C2×D4—1061no—
512C2×D4—1061no—
513C2×D4—1061no—
514C2×D4—4241no—
515C2×D4—4241no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—1061no—
525C22×C4—1061no—
526C22×C4—1061no—
527C22×C4—1064no—
528C22×C4—4241no—
529C22×C4—4241no—
530C22×C4C2×C4×D5312yes—
531C22×C4C2×D21212yes—
532C22×C4C2×C22⋊D5311yescharacteristic
533C22×C4C2×C22⋊D5311yescharacteristic
534C22×C4C2×C22⋊D5311yescharacteristic
535C22×C4C2×C22⋊D5311yescharacteristic
536C22×C4C2×C22⋊D5311yescharacteristic
537C22×C4C23×D5311yescharacteristic
538M16—1068no—
539C2×C8—532no—
540C2×C8—532no—
541C2×C8—532no—
542C2×C8—532no—
543C2×C8—1068no—
544C2×C8—1061no—
545C2×C8—1061no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1061no—
551C2×C8—1061no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—81no—
561C4⋊C4—81no—
562C4⋊C4—532no—
563C4⋊C4—532no—
564C4⋊C4—1064no—
565C4⋊C4—1064no—
566C4⋊C4—1064no—
567C4⋊C4—1061no—
568C4⋊C4—1061no—
569C4⋊C4#1171992114yes—
570C4⋊C4#1171992114yes—
571C22⋊C4—81no—
572C22⋊C4—81no—
573C22⋊C4—1064no—
574C22⋊C4—1064no—
575C22⋊C4—1064no—
576C22⋊C4—1064no—
577C22⋊C4—1064no—
578C22⋊C4#1171992114yes—
579C22⋊C4#1171992114yes—
580C42—81no—
581C42—81no—
582C42—1064no—
583C42C2×C4×D5312yes—
584C42C2×C4×D5312yes—
585C42C2×D21212yes—
586C42C2×D21212yes—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—1062no—
594C23—2121no—
595C23—2121no—
596C23—2121no—
597C23—2121no—
598C23—2121no—
599C23—2121no—
600C23C2×#1171992112yes—
601C23C22×C22⋊D5311yescharacteristic
602Q8—1062no—
603Q8—1062no—
604Q8—4244no—
605Q8—2121no—
606Q8—2121no—
607D4—1062no—
608D4—1062no—
609D4—4244no—
610D4—2121no—
611D4—2121no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—1062no—
639C2×C4—1062no—
640C2×C4—1062no—
641C2×C4—4244no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4C2×#1171992112yes—
649C2×C4C2×#1171992112yes—
650C2×C4C2×#1171992112yes—
651C2×C4C2×#1171992112yes—
652C2×C4C2×#1171992112yes—
653C2×C4C22×C4×D5311yescharacteristic
654C2×C4C22×D21211yescharacteristic
655C2×C4#41×D5311yescharacteristic
656C2×C4#41×D5311yescharacteristic
657C2×C4#41×D5311yescharacteristic
658C2×C4#41×D5311yescharacteristic
659C8—1062no—
660C8—1062no—
661C8—1062no—
662C8—1062no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—4241no—
671C22—4241no—
672C22—4241no—
673C22—4241no—
674C22—2122no—
675C22—2122no—
676C22—2122no—
677C22C22×#1171992111yescharacteristic
678C22#1681116911yescharacteristic
679C22#1681116911yescharacteristic
680C22#1681142611yescharacteristic
681C22#1681143111yescharacteristic
682C22#1681143411yescharacteristic
683C22#1681143811yescharacteristic
684C4—22no—
685C4—22no—
686C4—22no—
687C4—22no—
688C4—22no—
689C4—81no—
690C4—81no—
691C4—81no—
692C4—81no—
693C4—2122no—
694C4—2122no—
695C4—2122no—
696C4#1681109111yescharacteristic
697C4#1681109111yescharacteristic
698C4#1681113511yescharacteristic
699C4#1681113511yescharacteristic
700C2—42no—
701C2—4242no—
702C2#2027720311yescharacteristic
703C2#2028323811yescharacteristic
704C2#2028324511yescharacteristic
705C2#2028532611yescharacteristic
706C2#2028534811yescharacteristic
707C2#2028538511yescharacteristic
708C2#2028540011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#2314C2
socleC23×C53C22×D4
prime radicalC2×#13133191C22
cosocleC22×C4×C53C24
hypercenter#2314D53
hypocenterC53#21412
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×#117 ◁ #2314

Complements

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

NH ≅ G/Ntype
2. C2×#16810579C2semidirect
3. #20275687C2semidirect
4. #20275675C2semidirect
5. #20275529C2semidirect
6. #20275524C2semidirect
8. #20275146C2semidirect
10. #20275136C2semidirect
11. #20274548C2semidirect
12. #20274543C2semidirect
13. C4×#13133140C2semidirect
14. C4×#13133137C2semidirect
15. C53×#2314C2semidirect
19. #16811244C4semidirect
348. #2314D53semidirect
416. C53#21412semidirect

Maximal subgroups

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

subgroupindex
C2×#168112442
C2×#168105792
#202756872
#202756752
#202755292
#202755242
#202751512
#202751462
#202751412
#202751362
#202745482
#202745432
C4×#131331402
C4×#131331372
C53×#23142
#2141253