Finite Group Databasebeta

← #27400972

Subgroups — #27400972

Order 13568.

1118 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16811358C211yesmaximal, characteristic
2C2×#16810754C211yesmaximal, characteristic, complemented
3#20275647C211yesmaximal, characteristic, complemented
4#20275647C211yesmaximal, characteristic, complemented
5#20275642C211yesmaximal, characteristic
6#20275538C211yesmaximal, characteristic
7#20275529C211yesmaximal, characteristic, complemented
8#20275524C211yesmaximal, characteristic, complemented
9#20274727C211yesmaximal, characteristic, complemented
10#20274722C211yesmaximal, characteristic, complemented
11#20274712C211yesmaximal, characteristic, complemented
12#20274548C211yesmaximal, characteristic, complemented
13#20274543C211yesmaximal, characteristic, complemented
14C4×#13133137C211yesmaximal, characteristic, complemented
15C53×#2355C211yesmaximal, characteristic, complemented
16#16811358—24no—
17#16811358C418yescomplemented
18C2×#13133214C2211yescharacteristic
19C2×#13133206—21no—
20C2×#13133205C2211yescharacteristic
21C2×#13133205C2211yescharacteristic
22C2×#13133202—21no—
23C2×#13133202—21no—
24C2×C4×Dic106C2211yescharacteristic
25C2×C4×D212C2211yescharacteristic
26C2×C4×D212C2211yescharacteristic
27C2×#13133179—21no—
28#16810754—24no—
29C2×C4⋊#88322C2211yescharacteristic
30C2×C4⋊#88322C2211yescharacteristic
31C2×C4⋊#88322C2211yescharacteristic
32C2×#13133140C2211yescharacteristic
33C2×#13133140C2211yescharacteristic
34C2×#13133140C2211yescharacteristic
35C2×#13133140C2211yescharacteristic
36C2×#13133137C2211yescharacteristic
37C2×#13133137C2211yescharacteristic
38C2×#13133137C2211yescharacteristic
39C2×#13133137C2211yescharacteristic
40C2×#13133137C2211yescharacteristic
41C2×#13133137C2211yescharacteristic
42C2×#13133137C2211yescharacteristic
43C2×#13133137C2211yescharacteristic
44C2×#13133128C2211yescharacteristic
45C2×#13133128C2211yescharacteristic
46C2×C4×#88322C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810385C2211yescharacteristic
49#16810385C2211yescharacteristic
50#16810385C2211yescharacteristic
51C2×C4×Q8×C53C2211yescharacteristic
52C53×#391—21no—
53C53×#387—21no—
54C53×#387—21no—
55C53×#384C2211yescharacteristic
56C53×#382C2211yescharacteristic
57C53×#382C2211yescharacteristic
58C4×C4⋊C4×C53—21no—
59C4×C4⋊C4×C53C2211yescharacteristic
60C4×C4⋊C4×C53C2211yescharacteristic
61C4×C4⋊C4×C53C2211yescharacteristic
62C22×Dic106C2311yescharacteristic
63C22×D212—21no—
64C22×D212—21no—
65C22×D212C2311yescharacteristic
66C22×D212C2311yescharacteristic
67C22×C4×D53—21no—
68C22×C4×D53—21no—
69C22×#88322C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71C22×#88322C2311yescharacteristic
72C22×#88322C2311yescharacteristic
73#13133214—22no—
74#13133214C2×C414yes—
75#13133206—28no—
76#13133205—22no—
77#13133205—22no—
78#13133205C2×C414yes—
79#13133205C2×C414yes—
80#13133202—28no—
81#13133202—28no—
82C4×Dic106—22no—
83C4×Dic106C2×C414yes—
84C4×D212—22no—
85C4×D212—22no—
86C4×D212C2×C414yes—
87C4×D212C2×C414yes—
88#13133179—28no—
89C2×C4⋊Dic53C2311yescharacteristic
90C2×#11719919—21no—
91C2×#11719921—21no—
92C2×#11719921—21no—
93C2×#11719921—21no—
94C2×#11719921—21no—
95C2×#11719921—21no—
96C2×#11719921—21no—
97C2×C4×Dic53—21no—
98C4⋊#88322—22no—
99C4⋊#88322—22no—
100C4⋊#88322—22no—
101#13133140—22no—
102#13133140—22no—
103#13133140—41no—
104#13133140—41no—
105#13133137—22no—
106#13133137—22no—
107#13133137—22no—
108#13133137—22no—
109#13133137—41no—
110#13133137—41no—
111#13133137—41no—
112#13133137—41no—
113#13133128—22no—
114#13133128—22no—
115C4×#88322—22no—
116C22×Q8×C53D411yescharacteristic
117C4×Q8×C53C2×C414yes—
118C4×Q8×C53D414yes—
119C2×C4⋊C4×C53—21no—
120C2×C4⋊C4×C53—21no—
121C2×C4⋊C4×C53D411yescharacteristic
122C2×C4⋊C4×C53D411yescharacteristic
123C2×C4⋊C4×C53D411yescharacteristic
124C2×C4⋊C4×C53C2311yescharacteristic
125C2×C4⋊C4×C53C2311yescharacteristic
126C2×C4⋊C4×C53C2311yescharacteristic
127C2×C4⋊C4×C53C2311yescharacteristic
128C2×C42×C53—21no—
129C2×C42×C53—21no—
130C2×C42×C53—21no—
131C2×C42×C53C2311yescharacteristic
132C2×C42×C53C2311yescharacteristic
133C2×C42×C53C2311yescharacteristic
134#95×C53—21no—
135#95×C53—21no—
136#95×C53—21no—
137#95×C53—21no—
138#95×C53—21no—
139#95×C53—21no—
140#95×C53—21no—
141C23×D53—21no—
142C23×D53—21no—
143C2×Q8×C53—41no—
144C2×Q8×C53—41no—
145C2×Q8×C53C22⋊C414yes—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—21no—
149C22×C4×C53—21no—
150C22×C4×C53C2×D411yescharacteristic
151C22×C4×C53C2×D411yescharacteristic
152C22×C4×C53C2×D411yescharacteristic
153C22×C4×C53C2×D411yescharacteristic
154C22×C4×C53C2×D411yescharacteristic
155C22×C4×C53C2×D411yescharacteristic
156C22×C4×C53C2411yescharacteristic
157C22×Dic53—21no—
158C22×Dic53—21no—
159C2×D212—21no—
160C2×D212—21no—
161C2×D212—21no—
162C2×D212—21no—
163C2×D212—21no—
164C2×D212—21no—
165C2×D212—21no—
166C2×D212—21no—
167C2×D212—24no—
168C2×D212—21no—
169C2×D212—21no—
170C2×D212—24no—
171C2×D212—42no—
172C2×D212—42no—
173C2×D212—81no—
174C2×D212—81no—
175C2×D212C22×C412yes—
176C2×D212C22×C412yes—
177C2×C4×D53—24no—
178C2×C4×D53—24no—
179C2×C4×D53—81no—
180C2×C4×D53—81no—
181C2×C4×D53—81no—
182C2×C4×D53—81no—
183C2×Dic106—21no—
184C2×Dic106—21no—
185C2×Dic106—21no—
186C2×Dic106—21no—
187C2×Dic106—21no—
188C2×Dic106C22×C412yes—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—21no—
192C4⋊C4×C53—21no—
193C4⋊C4×C53—21no—
194C4⋊C4×C53—21no—
195C4⋊C4×C53—21no—
196C4⋊C4×C53—42no—
197C4⋊C4×C53—81no—
198C4⋊C4×C53C22⋊C414yes—
199C4⋊C4×C53C22⋊C414yes—
200C4⋊C4×C53C22⋊C414yes—
201C4⋊C4×C53#4112yes—
202C42×C53—42no—
203C42×C53—81no—
204C42×C53—81no—
205C42×C53C22×C412yes—
206C42×C53C22×C412yes—
207C42×C53C22×C412yes—
208C42×C53C2×D412yes—
209C42×C53C2×D412yes—
210C42×C53C2×D412yes—
211#11719921—24no—
212#11719921—24no—
213#11719921—24no—
214#11719921—24no—
215#11719921—24no—
216#11719921—24no—
217C4⋊Dic53—21no—
218C4⋊Dic53C22×C412yes—
219#11719919—24no—
220C4×Dic53—24no—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322—21no—
227C2×#88322—21no—
228C2×#88322—21no—
229C2×#88322—21no—
230C2×#88322—21no—
231C2×#88322—21no—
232C2×#88322#4112yes—
233C23×C53C22×D411yescharacteristic
234C22×D53—22no—
235C22×D53—22no—
236C22×D53—41no—
237C22×D53—41no—
238C22×D53—41no—
239C22×D53—41no—
240C22×D53—41no—
241C22×D53—41no—
242C22×D53—41no—
243C22×D53—41no—
244C22×D53—41no—
245C22×D53—41no—
246C22×D53—41no—
247C22×D53—41no—
248Q8×C53—44no—
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—21no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53—21no—
261C2×C4×C53—22no—
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×C53C2×C22⋊C412yes—
279C2×C4×C53C23×C411yescharacteristic
280C2×C4×C53C22×D411yescharacteristic
281C2×C4×C53C2×#4111yescharacteristic
282C2×C4×C53C2×#4111yescharacteristic
283C2×C4×C53H(5,𝔽2)11yescharacteristic
284C2×C4×C532−1+411yescharacteristic
285C2×Dic53—22no—
286C2×Dic53—22no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291D212—22no—
292D212—22no—
293D212—22no—
294D212—22no—
295D212—48no—
296D212—41no—
297D212—41no—
298D212—41no—
299D212—41no—
300D212—84no—
301C4×D53—84no—
302C4×D53—84no—
303Dic106—22no—
304Dic106—22no—
305Dic106—41no—
306Dic106—41no—
307#88322—22no—
308#88322—41no—
309#88322—41no—
310#88322—41no—
311#22549—531nomaximal, Sylow
312C22×C53C22×C22⋊C411yescharacteristic
313C22×C53#54811yescharacteristic
314C22×C53#55011yescharacteristic
315C22×C53#57511yescharacteristic
316C22×C53#57511yescharacteristic
317C22×C53#57611yescharacteristic
318C22×C53#57711yescharacteristic
319C2×D53—42no—
320C2×D53—42no—
321C2×D53—42no—
322C2×D53—42no—
323C2×D53—42no—
324C2×D53—42no—
325C2×D53—81no—
326C2×D53—81no—
327C2×D53—81no—
328C2×D53—81no—
329C2×D53—81no—
330C2×D53—81no—
331C2×D53—81no—
332C2×D53—81no—
333C4×C53—22no—
334C4×C53—22no—
335C4×C53—22no—
336C4×C53—22no—
337C4×C53—22no—
338C4×C53—22no—
339C4×C53—42no—
340C4×C53—81no—
341C4×C53—81no—
342C4×C53—81no—
343C4×C53C4×#4111yescharacteristic
344C4×C53#52011yescharacteristic
345C4×C53#54811yescharacteristic
346C4×C53#55011yescharacteristic
347Dic53—42no—
348Dic53—42no—
349C2×#559—531no—
350C2×#446—531no—
351#2355D5311yescharacteristic, complemented
352#1983—531no—
353#1983—531no—
354#1982—531no—
355#1961—531no—
356#1959—531no—
357#1958—531no—
358#1805—531no—
359#1804—531no—
360#1802—531no—
361#1763—531no—
362#1762—531no—
363C4×#102—531no—
364C2×C53#234111yescharacteristic
365C2×C53#289611yescharacteristic
366C2×C53#289711yescharacteristic
367C2×C53#337011yescharacteristic
368C2×C53#337111yescharacteristic
369C2×C53#340111yescharacteristic
370C2×C53#340311yescharacteristic
371D53—82no—
372D53—82no—
373#559—538no—
374#559—1064no—
375C2×#127—531no—
376C2×#124—531no—
377C2×#124—531no—
378C2×#124—1061no—
379C2×#123—1061no—
380C2×#123—1061no—
381C2×C4×Q8—531no—
382C2×C4×Q8C2×D5311yescharacteristic
383C2×C4×D4—531no—
384C2×C4×D4—531no—
385C2×C4×D4—1061no—
386#446—1064no—
387C2×C4⋊C8—531no—
388C2×C4⋊C8—531no—
389C2×C4⋊C8—531no—
390C2×#103—531no—
391C2×#103—531no—
392C2×#103—531no—
393C2×#103—531no—
394C2×#102—531no—
395C2×#102—531no—
396C2×#102—531no—
397C2×#102—531no—
398C2×#102—531no—
399C2×#102—531no—
400C2×#102—531no—
401C2×#102—531no—
402C2×#97—531no—
403C2×#97—531no—
404C2×C4×C8—531no—
405#391—21no—
406#387—21no—
407#387—21no—
408#384C2×D5311yescharacteristic
409#382C2×D5311yescharacteristic
410#382C2×D5311yescharacteristic
411C4×C4⋊C4—21no—
412C4×C4⋊C4C2×D5311yescharacteristic
413C4×C4⋊C4C2×D5311yescharacteristic
414C4×C4⋊C4C2×D5311yescharacteristic
415#340—531no—
416#340—531no—
417#340—531no—
418#340—531no—
419C53#2254911yescharacteristic, complemented, Sylow
420C22×Q8—531no—
421C22×Q8C22⋊D5311yescharacteristic
422C22×D4—531no—
423C22×D4—531no—
424C22×D4—1061no—
425C22×D4—1061no—
426C23×C4—1061no—
427C23×C4—1061no—
428C22×C8—531no—
429C22×C8—531no—
430C22×C8—531no—
431C22×C8—531no—
432#127—534no—
433#127—1062no—
434#124—534no—
435#124—534no—
436#124—1068no—
437#124—1062no—
438#124—1062no—
439#123—1068no—
440#123—1068no—
441C4×Q8—534no—
442C4×Q8—1062no—
443C4×Q8C4×D5314yes—
444C4×Q8D21214yes—
445C4×D4—534no—
446C4×D4—534no—
447C4×D4—1068no—
448C4×D4—1062no—
449C4×D4—1062no—
450C2×C4⋊C4—21no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—531no—
453C2×C4⋊C4—1061no—
454C2×C4⋊C4C22⋊D5311yescharacteristic
455C2×C4⋊C4C22⋊D5311yescharacteristic
456C2×C4⋊C4C22⋊D5311yescharacteristic
457C2×C4⋊C4C22×D5311yescharacteristic
458C2×C4⋊C4C22×D5311yescharacteristic
459C2×C4⋊C4C22×D5311yescharacteristic
460C2×C4⋊C4C22×D5311yescharacteristic
461C2×C22⋊C4—1061no—
462C2×C22⋊C4—1061no—
463C2×C22⋊C4—1061no—
464C2×C22⋊C4—1061no—
465C2×C22⋊C4—1061no—
466C2×C22⋊C4—1061no—
467C2×C42—21no—
468C2×C42—21no—
469C2×C42—21no—
470C2×C42—1061no—
471C2×C42C22×D5311yescharacteristic
472C2×C42C22×D5311yescharacteristic
473C2×C42C22×D5311yescharacteristic
474C4⋊C8—1062no—
475C4⋊C8—1062no—
476C4⋊C8—1062no—
477#103—1062no—
478#103—1062no—
479#103—2121no—
480#103—2121no—
481#102—1062no—
482#102—1062no—
483#102—1062no—
484#102—1062no—
485#102—2121no—
486#102—2121no—
487#102—2121no—
488#102—2121no—
489#97—1062no—
490#97—1062no—
491C4×C8—1062no—
492#95—21no—
493#95—21no—
494#95—21no—
495#95—21no—
496#95—21no—
497#95—21no—
498#95—21no—
499C24—1061no—
500C24—1061no—
501C2×Q8—41no—
502C2×Q8—41no—
503C2×Q8—532no—
504C2×Q8—1061no—
505C2×Q8—1061no—
506C2×Q8—1061no—
507C2×Q8—1061no—
508C2×Q8—1061no—
509C2×Q8#1171992114yes—
510C2×D4—532no—
511C2×D4—532no—
512C2×D4—1064no—
513C2×D4—1064no—
514C2×D4—1061no—
515C2×D4—1061no—
516C2×D4—1061no—
517C2×D4—1061no—
518C2×D4—1061no—
519C2×D4—1061no—
520C2×D4—1061no—
521C2×D4—1061no—
522C2×D4—1061no—
523C2×D4—1061no—
524C2×D4—4241no—
525C2×D4—4241no—
526C2×D4—2122no—
527C2×D4—2122no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—1061no—
533C22×C4—1061no—
534C22×C4—1064no—
535C22×C4—1064no—
536C22×C4—4241no—
537C22×C4—4241no—
538C22×C4—4241no—
539C22×C4—4241no—
540C22×C4C2×C22⋊D5311yescharacteristic
541C22×C4C2×C22⋊D5311yescharacteristic
542C22×C4C2×C22⋊D5311yescharacteristic
543C22×C4C2×C22⋊D5311yescharacteristic
544C22×C4C2×C22⋊D5311yescharacteristic
545C22×C4C2×C22⋊D5311yescharacteristic
546C22×C4C23×D5311yescharacteristic
547C2×C8—532no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8—1061no—
551C2×C8—1061no—
552C2×C8—1061no—
553C2×C8—1061no—
554C2×C8—1061no—
555C2×C8—1061no—
556C2×C8—1061no—
557C2×C8—1061no—
558C2×C8—1061no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—42no—
567C4⋊C4—81no—
568C4⋊C4—532no—
569C4⋊C4—1064no—
570C4⋊C4—1061no—
571C4⋊C4#1171992114yes—
572C4⋊C4#1171992114yes—
573C4⋊C4#1171992114yes—
574C4⋊C4#1171994912yes—
575C22⋊C4—1064no—
576C22⋊C4—1064no—
577C22⋊C4—1064no—
578C22⋊C4—1064no—
579C22⋊C4—1064no—
580C22⋊C4—1064no—
581C42—42no—
582C42—81no—
583C42—81no—
584C42—1064no—
585C42C2×C4×D5312yes—
586C42C2×C4×D5312yes—
587C42C2×C4×D5312yes—
588C42C2×D21212yes—
589C42C2×D21212yes—
590C42C2×D21212yes—
591C23—1062no—
592C23—1062no—
593C23—2121no—
594C23—2121no—
595C23—2121no—
596C23—2121no—
597C23—2121no—
598C23—2121no—
599C23—2121no—
600C23—2121no—
601C23—2121no—
602C23—2121no—
603C23—2121no—
604C23—2121no—
605C23C22×C22⋊D5311yescharacteristic
606Q8—44no—
607Q8—1062no—
608Q8—1062no—
609Q8—2121no—
610Q8—2121no—
611D4—1062no—
612D4—1062no—
613D4—1062no—
614D4—1062no—
615D4—4244no—
616D4—2128no—
617D4—2121no—
618D4—2121no—
619D4—2121no—
620D4—2121no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—1062no—
646C2×C4—1062no—
647C2×C4—4244no—
648C2×C4—4244no—
649C2×C4—2121no—
650C2×C4—2121no—
651C2×C4—2121no—
652C2×C4—2121no—
653C2×C4C2×#1171992112yes—
654C2×C4C2×#1171992112yes—
655C2×C4C2×#1171992112yes—
656C2×C4C2×#1171992112yes—
657C2×C4C2×#1171992112yes—
658C2×C4C2×#1171992112yes—
659C2×C4C22×C4×D5311yescharacteristic
660C2×C4C22×D21211yescharacteristic
661C2×C4#41×D5311yescharacteristic
662C2×C4C2×#1171994911yescharacteristic
663C2×C4#1313326311yescharacteristic
664C2×C4#1313326511yescharacteristic
665C8—1062no—
666C8—2121no—
667C8—2121no—
668C8—2121no—
669C22—4241no—
670C22—4241no—
671C22—4241no—
672C22—4241no—
673C22—4241no—
674C22—4241no—
675C22—4241no—
676C22—4241no—
677C22—2122no—
678C22—2122no—
679C22—2122no—
680C22—2122no—
681C22—2122no—
682C22—2122no—
683C22C22×#1171992111yescharacteristic
684C22#1681128411yescharacteristic
685C22#1681129211yescharacteristic
686C22#1681142111yescharacteristic
687C22#1681142111yescharacteristic
688C22#1681142611yescharacteristic
689C22#1681143111yescharacteristic
690C4—22no—
691C4—22no—
692C4—22no—
693C4—22no—
694C4—22no—
695C4—22no—
696C4—42no—
697C4—81no—
698C4—81no—
699C4—81no—
700C4—2122no—
701C4—2122no—
702C4C4×#1171994911yescharacteristic
703C4#1681110511yescharacteristic
704C4#1681128511yescharacteristic
705C4#1681129511yescharacteristic
706C2—4242no—
707C2—4242no—
708C2#2027755311yescharacteristic
709C2#2028323211yescharacteristic
710C2#2028323811yescharacteristic
711C2#2028746811yescharacteristic
712C2#2028748311yescharacteristic
713C2#2028778111yescharacteristic
714C2#2028779911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#2355C2
socleC23×C53C22×D4
prime radicalC2×#13133214C22
cosocleC22×C4×C53C24
hypercenter#2355D53
hypocenterC53#22549
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ #2355

Complements

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

NH ≅ G/Ntype
2. C2×#16810754C2semidirect
3. #20275647C2semidirect
4. #20275647C2semidirect
7. #20275529C2semidirect
8. #20275524C2semidirect
9. #20274727C2semidirect
10. #20274722C2semidirect
11. #20274712C2semidirect
12. #20274548C2semidirect
13. #20274543C2semidirect
14. C4×#13133137C2semidirect
15. C53×#2355C2semidirect
17. #16811358C4semidirect
351. #2355D53semidirect
419. C53#22549semidirect

Maximal subgroups

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

subgroupindex
C2×#168113582
C2×#168107542
#202756472
#202756422
#202755382
#202755292
#202755242
#202747272
#202747222
#202747122
#202745482
#202745432
C4×#131331372
C53×#23552
#2254953