Finite Group Databasebeta

← #27449537

Subgroups — #27449537

Order 13568.

984 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810936C211yesmaximal, characteristic, complemented
2C2×C4×#11719922C211yesmaximal, characteristic, complemented
3#20278229C211yesmaximal, characteristic, complemented
4#20276243C211yesmaximal, characteristic, complemented
5#20276025C211yesmaximal, characteristic, complemented
6#20275894C211yesmaximal, characteristic, complemented
7#20275711C211yesmaximal, characteristic
8#20275473C211yesmaximal, characteristic, complemented
9#20275445C211yesmaximal, characteristic, complemented
10#20275335C211yesmaximal, characteristic, complemented
11#20275323C211yesmaximal, characteristic, complemented
12#20274962C211yesmaximal, characteristic, complemented
13#20274961C211yesmaximal, characteristic, complemented
14#20274903C211yesmaximal, characteristic, complemented
15C53×#2361C211yesmaximal, characteristic, complemented
16C22×#11719922C2211yescharacteristic
17C2×#13133199—21no—
18C2×#13133191C2211yescharacteristic
19C2×C4×D212C2211yescharacteristic
20#16810936—24no—
21C4×#11719922—24no—
22C2×#13133150C2211yescharacteristic
23C2×#13133150C2211yescharacteristic
24C2×#13133150C2211yescharacteristic
25C2×#13133150C2211yescharacteristic
26C2×#13133150C2211yescharacteristic
27C2×C4⋊#88322C2211yescharacteristic
28C2×#13133138C2211yescharacteristic
29C2×#13133138C2211yescharacteristic
30C2×#13133138C2211yescharacteristic
31C2×#13133137C2211yescharacteristic
32C2×#13133137C2211yescharacteristic
33C2×#13133137C2211yescharacteristic
34C2×C22⋊#88322C2211yescharacteristic
35C2×C22⋊#88322C2211yescharacteristic
36C2×C4×#88322C2211yescharacteristic
37#16810550—21no—
38#16810539—21no—
39#16810525C2211yescharacteristic
40#16810521C2211yescharacteristic
41#16810497—21no—
42#16810493C2211yescharacteristic
43#16810483C2211yescharacteristic
44#16810385C2211yescharacteristic
45#16810385C2211yescharacteristic
46#16810385C2211yescharacteristic
47#16810385C2211yescharacteristic
48#16810378C2211yescharacteristic
49#16810378C2211yescharacteristic
50C2×#121×C53C2211yescharacteristic
51C2×C4×D4×C53—21no—
52C2×C4×D4×C53C2211yescharacteristic
53C22×C4⋊C4×C53C2211yescharacteristic
54C53×#390C2211yescharacteristic
55C53×#389C2211yescharacteristic
56C53×#388—21no—
57C53×#386—21no—
58C53×#385—21no—
59C4×C4⋊C4×C53C2211yescharacteristic
60C4×C22⋊C4×C53C2211yescharacteristic
61C22×D212C2311yescharacteristic
62C22×C22⋊D53—21no—
63C22×C4×D53—21no—
64C2×#11719922—22no—
65C2×#11719922—22no—
66C2×#11719922—22no—
67C22×#88322C2311yescharacteristic
68C22×#88322C2311yescharacteristic
69C22×#88322C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71#13133199—44no—
72#13133191—22no—
73#13133191—41no—
74C4×D212—22no—
75C4×D212—41no—
76C2×C4⋊Dic53—21no—
77C2×C4⋊Dic53—21no—
78C2×C4⋊Dic53C2311yescharacteristic
79C2×C4⋊Dic53C2311yescharacteristic
80C2×C4⋊Dic53C2311yescharacteristic
81C2×#11719919—21no—
82C2×C22⋊Dic53—21no—
83C2×#11719921—21no—
84C2×#11719921—21no—
85C2×#11719921—21no—
86C2×#11719921—21no—
87#13133150—22no—
88#13133150—22no—
89#13133150—22no—
90#13133150—22no—
91#13133150—41no—
92C4⋊#88322—22no—
93#13133138—22no—
94#13133138—22no—
95#13133138—41no—
96#13133137—22no—
97#13133137—22no—
98#13133137D414yescomplemented
99C22⋊#88322—22no—
100C22⋊#88322—22no—
101C4×#88322—22no—
102#13133124—21no—
103#13133124—21no—
104C22×D4×C53—21no—
105C22×D4×C53C2311yescharacteristic
106C23×C4×C53—21no—
107C23×C4×C53—21no—
108C23×C4×C53C2311yescharacteristic
109#121×C53—22no—
110#121×C53—22no—
111C4×D4×C53—22no—
112C4×D4×C53—41no—
113C4×D4×C53—44no—
114C2×C4⋊C4×C53—21no—
115C2×C4⋊C4×C53—21no—
116C2×C4⋊C4×C53—22no—
117C2×C4⋊C4×C53—41no—
118C2×C4⋊C4×C53C2311yescharacteristic
119C2×C4⋊C4×C53C2311yescharacteristic
120C2×C4⋊C4×C53C2311yescharacteristic
121C2×C22⋊C4×C53—21no—
122C2×C22⋊C4×C53—21no—
123C2×C22⋊C4×C53—21no—
124C2×C22⋊C4×C53—21no—
125C2×C22⋊C4×C53D411yescharacteristic
126C2×C22⋊C4×C53D411yescharacteristic
127C2×C42×C53—21no—
128C2×C42×C53C2311yescharacteristic
129C2×C42×C53C2311yescharacteristic
130#95×C53—21no—
131#95×C53—21no—
132#95×C53D411yescharacteristic
133#95×C53D411yescharacteristic
134C24×C53—21no—
135C24×C53C2×D411yescharacteristic
136C23×D53—21no—
137C2×D4×C53—24no—
138C2×D4×C53—21no—
139C2×D4×C53—21no—
140C2×D4×C53—21no—
141C2×D4×C53—21no—
142C2×D4×C53—21no—
143C2×D4×C53—42no—
144C2×D4×C53—42no—
145C2×D4×C53#4112yes—
146C22×C4×C53—21no—
147C22×C4×C53—21no—
148C22×C4×C53—21no—
149C22×C4×C53—21no—
150C22×C4×C53—21no—
151C22×C4×C53—21no—
152C22×C4×C53—21no—
153C22×C4×C53—21no—
154C22×C4×C53—21no—
155C22×C4×C53—42no—
156C22×C4×C53—42no—
157C22×C4×C53—42no—
158C22×C4×C53—42no—
159C22×C4×C53—81no—
160C22×C4×C53—81no—
161C22×C4×C53C2×D411yescharacteristic
162C22×C4×C53C2×D411yescharacteristic
163C22×C4×C53C2×D411yescharacteristic
164C22×C4×C53C2×D411yescharacteristic
165C22×C4×C53C2×D411yescharacteristic
166C22×C4×C53C2411yescharacteristic
167C2×C22⋊D53—42no—
168C2×C22⋊D53—42no—
169C2×C22⋊D53—81no—
170C22×Dic53—21no—
171C22×Dic53—21no—
172C22×Dic53—21no—
173C2×D212—21no—
174C2×D212—21no—
175C2×D212—21no—
176C2×D212—21no—
177C2×D212—21no—
178C2×D212C2×D412yes—
179C2×C4×D53—42no—
180C2×C4×D53—42no—
181C2×C4×D53—81no—
182C4⋊C4×C53—21no—
183C4⋊C4×C53—21no—
184C4⋊C4×C53—21no—
185C4⋊C4×C53—21no—
186C4⋊C4×C53—42no—
187C4⋊C4×C53—42no—
188C4⋊C4×C53C2×D412yes—
189C4⋊C4×C53#4112yes—
190C22⋊C4×C53—24no—
191C22⋊C4×C53—41no—
192C22⋊C4×C53—42no—
193C22⋊C4×C53—42no—
194C22⋊C4×C53—81no—
195C22⋊C4×C53D814yescomplemented
196C42×C53—21no—
197C42×C53—21no—
198C42×C53—21no—
199C42×C53—21no—
200C42×C53—42no—
201C22⋊Dic53—42no—
202#11719922—28no—
203#11719921—42no—
204#11719921—42no—
205#11719921—42no—
206#11719921—42no—
207C4⋊Dic53—21no—
208C4⋊Dic53—21no—
209C4⋊Dic53—21no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53—21no—
213C4⋊Dic53—42no—
214C4⋊Dic53—81no—
215#11719919—42no—
216C2×#88322—21no—
217C2×#88322—21no—
218C2×#88322—21no—
219C2×#88322—21no—
220C2×#88322—21no—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322C2×D412yes—
227C2×#88322#4112yes—
228C23×C53—21no—
229C23×C53—21no—
230C23×C53—21no—
231C23×C53—21no—
232C23×C53—21no—
233C23×C53—21no—
234C23×C53—22no—
235C23×C53—41no—
236C23×C53—41no—
237C23×C53—41no—
238C23×C53—41no—
239C23×C53—41no—
240C23×C53—41no—
241C23×C53C2×D812yes—
242C23×C53C22×D411yescharacteristic
243C22×D53—22no—
244C22×D53—41no—
245C22×D53—41no—
246C22×D53—41no—
247C22×D53—41no—
248C22×D53—41no—
249C22×D53—41no—
250D4×C53—22no—
251D4×C53—22no—
252D4×C53—48no—
253D4×C53—41no—
254D4×C53—41no—
255C2×C4×C53—21no—
256C2×C4×C53—21no—
257C2×C4×C53—21no—
258C2×C4×C53—21no—
259C2×C4×C53—21no—
260C2×C4×C53—22no—
261C2×C4×C53—21no—
262C2×C4×C53—22no—
263C2×C4×C53—21no—
264C2×C4×C53—21no—
265C2×C4×C53—21no—
266C2×C4×C53—21no—
267C2×C4×C53—21no—
268C2×C4×C53—21no—
269C2×C4×C53—21no—
270C2×C4×C53—41no—
271C2×C4×C53—41no—
272C2×C4×C53—41no—
273C2×C4×C53—41no—
274C2×C4×C53—41no—
275C2×C4×C53—41no—
276C2×C4×C53—41no—
277C2×C4×C53—41no—
278C2×C4×C53—41no—
279C2×C4×C53—41no—
280C2×C4×C53—41no—
281C2×C4×C53—84no—
282C2×C4×C53—84no—
283C2×C4×C53C2×D812yes—
284C2×C4×C53C2×D812yes—
285C2×C4×C53C22×D411yescharacteristic
286C2×C4×C53C2×#4111yescharacteristic
287C2×C4×C53C2×#4111yescharacteristic
288C2×C4×C53C2×#4111yescharacteristic
289C2×C4×C53H(5,𝔽2)11yescharacteristic
290C2×C4×C532−1+411yescharacteristic
291C22⋊D53—84no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53—41no—
295C2×Dic53—41no—
296C2×Dic53—41no—
297C2×Dic53—41no—
298C2×Dic53—41no—
299C2×Dic53—41no—
300C2×Dic53—41no—
301D212—22no—
302D212—22no—
303D212—41no—
304D212—41no—
305C4×D53—84no—
306#88322—22no—
307#88322—22no—
308#88322—41no—
309#88322—41no—
310#26546—531nomaximal, Sylow
311C22×C53—22no—
312C22×C53—22no—
313C22×C53—22no—
314C22×C53—41no—
315C22×C53—41no—
316C22×C53—41no—
317C22×C53—41no—
318C22×C53—42no—
319C22×C53—42no—
320C22×C53—42no—
321C22×C53—81no—
322C22×C53—81no—
323C22×C53—81no—
324C22×C53—81no—
325C22×C53#52511yescharacteristic
326C22×C53D4211yescharacteristic
327C22×C53#54711yescharacteristic
328C22×C53C22×D811yescharacteristic
329C22×C53#57511yescharacteristic
330C22×C53#57611yescharacteristic
331C22×C53#57811yescharacteristic
332C2×D53—42no—
333C2×D53—42no—
334C2×D53—42no—
335C2×D53—81no—
336C2×D53—81no—
337C2×D53—81no—
338C2×D53—81no—
339C4×C53—22no—
340C4×C53—22no—
341C4×C53—41no—
342C4×C53—42no—
343C4×C53—41no—
344C4×C53—41no—
345C4×C53—42no—
346C4×C53—81no—
347C4×C53#52511yescharacteristic
348C4×C53#53911yescharacteristic
349C4×C53#54711yescharacteristic
350C4×C53#55911yescharacteristic
351Dic53—81no—
352Dic53—81no—
353Dic53—81no—
354C2×#480—531no—
355C2×C4×D8—531no—
356#2422—531no—
357#2361D5311yescharacteristic, complemented
358#2093—531no—
359#2054—531no—
360#2033—531no—
361#1999—531no—
362#1947—531no—
363#1942—531no—
364#1925—531no—
365#1923—531no—
366#1862—531no—
367#1862—531no—
368#1852—531no—
369C2×C53—42no—
370C2×C53—82no—
371C2×C53#245511yescharacteristic
372C2×C53#310011yescharacteristic
373C2×C53#312411yescharacteristic
374C2×C53#326911yescharacteristic
375C2×C53D4×D811yescharacteristic
376C2×C53#333411yescharacteristic
377C2×C53#335511yescharacteristic
378D53—82no—
379C22×D8—531no—
380C2×#123—1061no—
381C2×#121—531no—
382C2×#121C2×D5311yescharacteristic
383C2×C4×D4—21no—
384C2×C4×D4—531no—
385C2×C4×D4C2×D5311yescharacteristic
386C22×C4⋊C4C2×D5311yescharacteristic
387#480—1064no—
388C4×D8—1064no—
389C2×#107—531no—
390C2×#107—531no—
391C2×#107—531no—
392C2×#107—531no—
393C2×#107—531no—
394C2×C4⋊C8—531no—
395C2×#102—531no—
396C2×#102—531no—
397C2×#102—531no—
398C2×#102—531no—
399C2×#102—531no—
400C2×#102—531no—
401C2×C22⋊C8—531no—
402C2×C22⋊C8—531no—
403C2×C4×C8—531no—
404#397—1061no—
405#394—1061no—
406#390—531no—
407#390C2×D5311yescharacteristic
408#389—531no—
409#389C2×D5311yescharacteristic
410#388—21no—
411#386—21no—
412#385—21no—
413#385—1061no—
414#384—531no—
415#380—531no—
416C4×C4⋊C4C2×D5311yescharacteristic
417C4×C22⋊C4C2×D5311yescharacteristic
418#340—531no—
419#340—531no—
420#340—531no—
421#340—531no—
422#336—531no—
423#336—531no—
424C53#2654611yescharacteristic, complemented, Sylow
425C22×D4—21no—
426C22×D4—531no—
427C22×D4—1061no—
428C22×D4C22×D5311yescharacteristic
429C23×C4—21no—
430C23×C4—21no—
431C23×C4—1061no—
432C23×C4C22×D5311yescharacteristic
433C2×D8—1062no—
434C2×D8—1062no—
435C2×D8—1062no—
436C22×C8—531no—
437C22×C8—531no—
438C22×C8—531no—
439C22×C8—531no—
440#123—2124no—
441#121—22no—
442#121—22no—
443#121—1062no—
444#121—2121no—
445C4×D4—22no—
446C4×D4—41no—
447C4×D4—44no—
448C4×D4—1062no—
449C4×D4—2121no—
450C2×C4⋊C4—22no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—21no—
453C2×C4⋊C4—41no—
454C2×C4⋊C4—531no—
455C2×C4⋊C4—531no—
456C2×C4⋊C4—531no—
457C2×C4⋊C4—1061no—
458C2×C4⋊C4—1061no—
459C2×C4⋊C4—1061no—
460C2×C4⋊C4C22×D5311yescharacteristic
461C2×C4⋊C4C22×D5311yescharacteristic
462C2×C4⋊C4C22×D5311yescharacteristic
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—21no—
467C2×C22⋊C4—1061no—
468C2×C22⋊C4—1061no—
469C2×C22⋊C4—1061no—
470C2×C22⋊C4—1061no—
471C2×C22⋊C4—1061no—
472C2×C22⋊C4C22⋊D5311yescharacteristic
473C2×C22⋊C4C22⋊D5311yescharacteristic
474C2×C42—21no—
475C2×C42C22×D5311yescharacteristic
476C2×C42C22×D5311yescharacteristic
477#107—1062no—
478#107—1062no—
479#107—1062no—
480#107—1062no—
481#107—2121no—
482C4⋊C8—1062no—
483#102—534no—
484#102—1062no—
485#102—1062no—
486#102—1062no—
487#102—1062no—
488#102—2121no—
489C22⋊C8—1062no—
490C22⋊C8—1062no—
491C4×C8—1062no—
492#95—21no—
493#95—21no—
494#95—1061no—
495#95—1061no—
496#95C22⋊D5311yescharacteristic
497#95C22⋊D5311yescharacteristic
498C24—21no—
499C24—1061no—
500C24C2×C22⋊D5311yescharacteristic
501C2×D4—24no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—42no—
508C2×D4—42no—
509C2×D4—532no—
510C2×D4—1061no—
511C2×D4—1061no—
512C2×D4—1061no—
513C2×D4—1061no—
514C2×D4—1061no—
515C2×D4—4241no—
516C2×D4—2122no—
517C2×D4—2122no—
518C2×D4#1171994512yes—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—81no—
533C22×C4—81no—
534C22×C4—1061no—
535C22×C4—1061no—
536C22×C4—1061no—
537C22×C4—4241no—
538C22×C4—2122no—
539C22×C4—2122no—
540C22×C4C2×C22⋊D5311yescharacteristic
541C22×C4C2×C22⋊D5311yescharacteristic
542C22×C4C2×C22⋊D5311yescharacteristic
543C22×C4C2×C22⋊D5311yescharacteristic
544C22×C4C2×C22⋊D5311yescharacteristic
545C22×C4C23×D5311yescharacteristic
546D8—1068no—
547C2×C8—532no—
548C2×C8—532no—
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—42no—
564C4⋊C4—42no—
565C4⋊C4—1061no—
566C4⋊C4—1061no—
567C4⋊C4—1061no—
568C4⋊C4—1061no—
569C4⋊C4—1061no—
570C4⋊C4—1061no—
571C4⋊C4—4241no—
572C4⋊C4—2122no—
573C4⋊C4—2122no—
574C4⋊C4#1171994512yes—
575C4⋊C4D4×D5312yes—
576C22⋊C4—24no—
577C22⋊C4—41no—
578C22⋊C4—42no—
579C22⋊C4—42no—
580C22⋊C4—81no—
581C22⋊C4—2122no—
582C22⋊C4—2122no—
583C22⋊C4—2122no—
584C22⋊C4—2122no—
585C22⋊C4—2122no—
586C22⋊C4#1171992214yescomplemented
587C42—21no—
588C42—21no—
589C42—21no—
590C42—21no—
591C42—42no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—22no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—1062no—
606C23—2121no—
607C23—2121no—
608C23—2121no—
609C23—2121no—
610C23—2121no—
611C23—2121no—
612C23C2×#1171992212yes—
613C23C22×C22⋊D5311yescharacteristic
614D4—22no—
615D4—22no—
616D4—48no—
617D4—41no—
618D4—41no—
619D4—1062no—
620D4—1062no—
621D4—4244no—
622D4—2121no—
623D4—2121no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—84no—
651C2×C4—84no—
652C2×C4—4244no—
653C2×C4—2121no—
654C2×C4—2121no—
655C2×C4—2121no—
656C2×C4—2121no—
657C2×C4—2121no—
658C2×C4—2121no—
659C2×C4—2121no—
660C2×C4—2121no—
661C2×C4—2121no—
662C2×C4C2×#1171992212yes—
663C2×C4C2×#1171992212yes—
664C2×C4C2×D4×D5311yescharacteristic
665C2×C4#41×D5311yescharacteristic
666C2×C4C2×#1171994511yescharacteristic
667C2×C4C2×#1171994511yescharacteristic
668C2×C4#1313326211yescharacteristic
669C2×C4#1313326411yescharacteristic
670C8—1062no—
671C8—1062no—
672C8—2121no—
673C8—2121no—
674C22—22no—
675C22—22no—
676C22—22no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—42no—
682C22—42no—
683C22—42no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—4241no—
689C22—4241no—
690C22—4241no—
691C22—4241no—
692C22—2122no—
693C22—2122no—
694C22—2122no—
695C22#1681113411yescharacteristic
696C22D4×C22⋊D5311yescharacteristic
697C22#1681127211yescharacteristic
698C22C22×#1171992211yescharacteristic
699C22#1681142111yescharacteristic
700C22#1681142611yescharacteristic
701C22#1681143811yescharacteristic
702C4—22no—
703C4—22no—
704C4—42no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—42no—
709C4—81no—
710C4—4241no—
711C4—4241no—
712C4—4241no—
713C4#1681113211yescharacteristic
714C4#1681121511yescharacteristic
715C4#1681127811yescharacteristic
716C4#1681135611yescharacteristic
717C2—42no—
718C2—82no—
719C2—4242no—
720C2#2027859211yescharacteristic
721C2#2028471511yescharacteristic
722C2#2028497711yescharacteristic
723C2#2028627111yescharacteristic
724C2D4×#1171992211yescharacteristic
725C2#2028705811yescharacteristic
726C2#2028731511yescharacteristic
subgroupG/H
centerC23C22×C22⋊D53
commutator, cosocleC22×C4×C53C24
FrattiniC22×C4C23×D53
FittingC53×#2361C2
socleC23×C53C22×D4
prime radical#20275711C2
hypercenter#2361D53
hypocenterC53#26546
LCSG ▷ C22×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C4×C22⋊C4 ◁ #2361

Complements

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

NH ≅ G/Ntype
1. C2×#16810936C2semidirect
2. C2×C4×#11719922C2semidirect
3. #20278229C2semidirect
4. #20276243C2semidirect
5. #20276025C2semidirect
6. #20275894C2semidirect
8. #20275473C2semidirect
9. #20275445C2semidirect
10. #20275335C2semidirect
11. #20275323C2semidirect
12. #20274962C2semidirect
13. #20274961C2semidirect
14. #20274903C2semidirect
15. C53×#2361C2semidirect
98. #13133137D4semidirect
195. C22⋊C4×C53D8semidirect
357. #2361D53semidirect
424. C53#26546semidirect
586. C22⋊C4#11719922semidirect

Maximal subgroups

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

subgroupindex
C2×#168109362
C2×C4×#117199222
#202782292
#202762432
#202760252
#202758942
#202757112
#202754732
#202754452
#202753352
#202753232
#202749622
#202749612
#202749032
C53×#23612
#2654653