Finite Group Databasebeta

← #27406627

Subgroups — #27406627

Order 13568.

864 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20284166C211yesmaximal, characteristic
2C2×#16810737C211yesmaximal, characteristic, complemented
3#20283457C211yesmaximal, characteristic, complemented
4#20283281C211yesmaximal, characteristic, complemented
5#20275545C211yesmaximal, characteristic, complemented
6#20275487C211yesmaximal, characteristic, complemented
7#20275426C211yesmaximal, characteristic, complemented
8#20275416C211yesmaximal, characteristic, complemented
9#20275044C211yesmaximal, characteristic, complemented
10#20275042C211yesmaximal, characteristic, complemented
11#20274990C211yesmaximal, characteristic, complemented
12#20274987C211yesmaximal, characteristic, complemented
13#20274575C211yesmaximal, characteristic, complemented
14#20274527C211yesmaximal, characteristic, complemented
15C2×C53×#444C211yesmaximal, characteristic, complemented
16C2×#13133237C2211yescharacteristic
17C2×#13133225C2211yescharacteristic
18C2×#13133224C2211yescharacteristic
19#16811169C2211yescharacteristic
20#41×Dic53C2211yescharacteristic
21#16810847C411yescharacteristic, complemented
22#16810843C411yescharacteristic, complemented
23#16810840C411yescharacteristic, complemented
24#16810836C411yescharacteristic, complemented
25#16810831C411yescharacteristic, complemented
26#16810826C411yescharacteristic, complemented
27#16810821C411yescharacteristic, complemented
28#16810816C411yescharacteristic, complemented
29#16810737—24no—
30#16810699—21no—
31#16810694—21no—
32#16810692—21no—
33C8×C22⋊D53—21no—
34C2×#13133152C2211yescharacteristic
35#16810651—21no—
36#16810651C2211yescharacteristic
37#16810649—21no—
38#16810649C2211yescharacteristic
39#16810646—21no—
40#16810646C2211yescharacteristic
41C2×#13133146—21no—
42C2×#13133146C2211yescharacteristic
43C2×#13133146C2211yescharacteristic
44C2×#13133145C2211yescharacteristic
45C2×#13133144C2211yescharacteristic
46C2×#13133144C2211yescharacteristic
47C2×#13133143C2211yescharacteristic
48#16810620C2211yescharacteristic
49#16810619C2211yescharacteristic
50#16810590C2211yescharacteristic
51#16810589C2211yescharacteristic
52M16×Dic53C2211yescharacteristic
53C2×C4×#88322C2211yescharacteristic
54#16810469C2211yescharacteristic
55#16810388C2211yescharacteristic
56#16810387C2211yescharacteristic
57#16810384C2211yescharacteristic
58#16810383C2211yescharacteristic
59#16810377C2211yescharacteristic
60#16810377C2211yescharacteristic
61C2×#135×C53C2211yescharacteristic
62C2×#131×C53C2211yescharacteristic
63C2×#131×C53C2211yescharacteristic
64C53×#444—24no—
65C2×#108×C53C2211yescharacteristic
66C2×#104×C53C2211yescharacteristic
67C2×#104×C53C2211yescharacteristic
68C2×#97×C53C2211yescharacteristic
69C2×#11719945C2311yescharacteristic
70#13133237—22no—
71#13133237—22no—
72C2×#11719925C2×C411yescharacteristic
73C2×#11719923C2×C411yescharacteristic
74C2×#11719924C2×C411yescharacteristic
75C2×#11719922C2×C411yescharacteristic
76#13133225—22no—
77#13133225—41no—
78#13133224—22no—
79#13133224—41no—
80C2×#11719917—21no—
81C2×#11719917C2311yescharacteristic
82C2×#11719917C2311yescharacteristic
83C2×#11719912—21no—
84C22×#88322—21no—
85C22×#88322C2311yescharacteristic
86C22×#88322C2311yescharacteristic
87C2×C8×D53—21no—
88#13133215C2×C411yescharacteristic
89#13133213C2×C411yescharacteristic
90#13133206C2×C411yescharacteristic
91#13133204C2×C411yescharacteristic
92#13133189—21no—
93#13133189—21no—
94Q8×Dic53C2×C411yescharacteristic
95Q8×Dic53C2×C411yescharacteristic
96D4×Dic53—21no—
97D4×Dic53—21no—
98D4×Dic53C2×C411yescharacteristic
99D4×Dic53C2×C411yescharacteristic
100C4×C22⋊D53—21no—
101C4×C22⋊D53—21no—
102#13133176—21no—
103#13133176C2311yescharacteristic
104C2×C4×Dic53—21no—
105C2×C4×Dic53C2311yescharacteristic
106C2×C4×Dic53C2311yescharacteristic
107#13133152—22no—
108#13133146—21no—
109#13133146—21no—
110#13133146—21no—
111#13133146—21no—
112#13133146—21no—
113#13133146—21no—
114#13133146C2×C411yescharacteristic
115#13133146C2×C411yescharacteristic
116#13133146C2×C411yescharacteristic
117#13133146C2×C411yescharacteristic
118#13133146D411yescharacteristic
119#13133146D411yescharacteristic
120#13133146D411yescharacteristic
121#13133146D411yescharacteristic
122#13133145—22no—
123#13133144—22no—
124#13133144—41no—
125#13133143—41no—
126#13133142C2×C411yescharacteristic
127#13133142C2×C411yescharacteristic
128#13133141C2×C411yescharacteristic
129#13133141C2×C411yescharacteristic
130#13133139C2×C411yescharacteristic
131#13133139C2×C411yescharacteristic
132#13133138C2×C411yescharacteristic
133#13133138C2×C411yescharacteristic
134C22⋊#88322—21no—
135C22⋊#88322—21no—
136#13133129—21no—
137#13133129—21no—
138#13133127—21no—
139C4×#88322—22no—
140C8×Dic53—21no—
141#13133124—21no—
142#13133124—21no—
143C2×#41×C53C2311yescharacteristic
144C2×#41×C53C2311yescharacteristic
145#135×C53—22no—
146#135×C53—22no—
147C2×Q16×C53C2×C411yescharacteristic
148C2×SD16×C53C2×C411yescharacteristic
149C2×SD16×C53C2×C411yescharacteristic
150C2×D8×C53C2×C411yescharacteristic
151#131×C53—22no—
152#131×C53—22no—
153#131×C53—41no—
154#131×C53—41no—
155C2×M16×C53—21no—
156C2×M16×C53—21no—
157C2×M16×C53C2311yescharacteristic
158C2×M16×C53C2311yescharacteristic
159C22×C8×C53—21no—
160C22×C8×C53—21no—
161C22×C8×C53C2311yescharacteristic
162C22×C8×C53C2311yescharacteristic
163C2×C42×C53C2311yescharacteristic
164#108×C53—22no—
165#104×C53—22no—
166#104×C53D414yescomplemented
167#97×C53—22no—
168#41×C53—21no—
169#41×C53—21no—
170#41×C53—21no—
171#41×C53—21no—
172#41×C53—21no—
173#41×C53—21no—
174#41×C53C2×D412yes—
175#41×C53#4112yes—
176C2×Q8×C53C22×C411yescharacteristic
177C2×Q8×C53C22×C411yescharacteristic
178C2×D4×C53—21no—
179C2×D4×C53—21no—
180C2×D4×C53C22×C411yescharacteristic
181C2×D4×C53C22×C411yescharacteristic
182C22×C4×C53—21no—
183C22×C4×C53—21no—
184C22×C4×C53—21no—
185C22×C4×C53C2411yescharacteristic
186C2×C22⋊D53—21no—
187C2×C22⋊D53—21no—
188C2×C22⋊D53—21no—
189C22×Dic53—21no—
190C22×Dic53—21no—
191C22×Dic53—21no—
192C22×Dic53#4111yescharacteristic
193C22×Dic53#4111yescharacteristic
194#11719945—21no—
195#11719945—21no—
196#11719945—21no—
197#11719945—21no—
198C2×D212C22×C411yescharacteristic
199C2×C4×D53—21no—
200C2×Dic106C22×C411yescharacteristic
201Q16×C53—22no—
202SD16×C53—22no—
203SD16×C53—22no—
204D8×C53—22no—
205M16×C53—21no—
206M16×C53—21no—
207M16×C53—21no—
208M16×C53—42no—
209M16×C53—42no—
210M16×C53C2×D412yes—
211C2×C8×C53—21no—
212C2×C8×C53—21no—
213C2×C8×C53—21no—
214C2×C8×C53—21no—
215C2×C8×C53—21no—
216C2×C8×C53—21no—
217C2×C8×C53—42no—
218C2×C8×C53—42no—
219C2×C8×C53C22×C411yescharacteristic
220C2×C8×C53C22×C411yescharacteristic
221C2×C8×C53C2×D411yescharacteristic
222C2×C8×C53C2×D411yescharacteristic
223C42×C53—21no—
224C42×C53C2×D412yes—
225C22⋊Dic53—21no—
226C22⋊Dic53—21no—
227C22⋊Dic53—21no—
228C22⋊Dic53—21no—
229C22⋊Dic53—21no—
230#11719925—22no—
231#11719924—22no—
232#11719923—22no—
233#11719922—22no—
234#11719921—21no—
235#11719921—21no—
236C4⋊Dic53—21no—
237C4⋊Dic53—21no—
238C4⋊Dic53C22×C411yescharacteristic
239C4⋊Dic53C22×C411yescharacteristic
240#11719919—21no—
241#11719919—21no—
242C4×Dic53—21no—
243C4×Dic53—21no—
244C4×Dic53—21no—
245C4×Dic53—21no—
246C4×Dic53—21no—
247C4×Dic53C22×C411yescharacteristic
248C4×Dic53C22×C411yescharacteristic
249C4×Dic53C2×D411yescharacteristic
250C4×Dic53C2×D411yescharacteristic
251#11719917—21no—
252#11719917—21no—
253#11719917—21no—
254#11719917—21no—
255#11719917—42no—
256C2×#88322—21no—
257C2×#88322—21no—
258C2×#88322—21no—
259C2×#88322—21no—
260C2×#88322—21no—
261C2×#88322—21no—
262C2×#88322—42no—
263C2×#88322C22×C411yescharacteristic
264C2×#88322C22×C411yescharacteristic
265C2×#88322C2×D411yescharacteristic
266C2×#88322C2×D411yescharacteristic
267#11719912—42no—
268C8×D53—42no—
269C23×C53—21no—
270C23×C53—21no—
271C23×C53C2×#4111yescharacteristic
272C22×D53—21no—
273Q8×C53—21no—
274Q8×C53—21no—
275Q8×C53—21no—
276Q8×C53C4×D412yes—
277D4×C53—22no—
278D4×C53—22no—
279D4×C53—21no—
280D4×C53—21no—
281D4×C53—21no—
282D4×C53—41no—
283D4×C53—41no—
284D4×C53C4×D412yes—
285C2×C4×C53—21no—
286C2×C4×C53—22no—
287C2×C4×C53—22no—
288C2×C4×C53—21no—
289C2×C4×C53—22no—
290C2×C4×C53—41no—
291C2×C4×C53—41no—
292C2×C4×C53—41no—
293C2×C4×C53—41no—
294C2×C4×C53C23×C411yescharacteristic
295C2×C4×C53C22×D411yescharacteristic
296C2×C4×C53C22×D411yescharacteristic
297C2×C4×C53C2×#4111yescharacteristic
298C2×C4×C53H(5,𝔽2)11yescharacteristic
299C2×C4×C532−1+411yescharacteristic
300C22⋊D53—42no—
301C22⋊D53—41no—
302C22⋊D53—41no—
303C22⋊D53—81no—
304C2×Dic53—21no—
305C2×Dic53—21no—
306C2×Dic53—21no—
307C2×Dic53—41no—
308C2×Dic53—41no—
309C2×Dic53—42no—
310C2×Dic53—41no—
311C2×Dic53—41no—
312C2×Dic53—41no—
313C2×Dic53—81no—
314C2×Dic53C4×D411yescharacteristic
315C2×Dic53C4×D411yescharacteristic
316C2×Dic53C4×D411yescharacteristic
317C2×Dic53C4×D411yescharacteristic
318D212—21no—
319D212—21no—
320C4×D53—41no—
321C4×D53—41no—
322Dic106—21no—
323Dic106—21no—
324C8×C53—21no—
325C8×C53—21no—
326C8×C53—22no—
327C8×C53—21no—
328C8×C53—21no—
329C8×C53—41no—
330#88322—21no—
331#88322—21no—
332#88322—21no—
333#88322—21no—
334#88322—41no—
335#88322—41no—
336#23017—531nomaximal, Sylow
337C22×C53—21no—
338C22×C53—21no—
339C22×C53—22no—
340C22×C53—41no—
341C22×C53—41no—
342C22×C53—41no—
343C22×C53—41no—
344C22×C53—41no—
345C22×C53C2×C4×D411yescharacteristic
346C22×C53#54711yescharacteristic
347C22×C53#55311yescharacteristic
348C2×D53—41no—
349C2×D53—41no—
350C2×D53—41no—
351C4×C53—22no—
352C4×C53—42no—
353C4×C53—41no—
354C4×C53C2×C4×D411yescharacteristic
355C4×C53#52011yescharacteristic
356C4×C53D4211yescharacteristic
357C4×C53#54811yescharacteristic
358Dic53—21no—
359Dic53—21no—
360Dic53—21no—
361Dic53—21no—
362Dic53—41no—
363Dic53—41no—
364Dic53—41no—
365Dic53—81no—
366#3035—531no—
367C2×#444D5311yescharacteristic, complemented
368C2×#443—531no—
369#2935—531no—
370#2906—531no—
371#1963—531no—
372#1950—531no—
373#1938—531no—
374#1937—531no—
375#1876—531no—
376#1876—531no—
377#1866—531no—
378#1866—531no—
379#1768—531no—
380#1759—531no—
381C2×C53—21no—
382C2×C53—21no—
383C2×C53—42no—
384C2×C53—81no—
385C2×C53#236111yescharacteristic
386C2×C53#295511yescharacteristic
387C2×C53#295711yescharacteristic
388D53—81no—
389C2×#135—531no—
390C2×#135C2×D5311yescharacteristic
391C2×#131—531no—
392C2×#131—531no—
393C2×#131C2×D5311yescharacteristic
394C2×#131C2×D5311yescharacteristic
395#532—531no—
396C4×#41—531no—
397#464—531no—
398#464—531no—
399#463—531no—
400#463—531no—
401#462—531no—
402#461—531no—
403#460—531no—
404#459—531no—
405#444—24no—
406#443—1064no—
407#436—1061no—
408#435—1061no—
409#435—1061no—
410C8×D4—1061no—
411C2×#108—531no—
412C2×#108C2×D5311yescharacteristic
413#424—531no—
414#424—531no—
415#424—1061no—
416#424—1061no—
417#423—531no—
418#423—1061no—
419C2×C4⋊C8—531no—
420C2×C4⋊C8—531no—
421C2×C4⋊C8—1061no—
422C2×#104—531no—
423C2×#104—531no—
424C2×#104—531no—
425C2×#104—531no—
426C2×#104C2×D5311yescharacteristic
427C2×#104C2×D5311yescharacteristic
428#416—531no—
429#416—531no—
430#408—531no—
431#408—531no—
432C4×M16—531no—
433C2×#97C2×D5311yescharacteristic
434C2×C4×C8—531no—
435#376—531no—
436#341—531no—
437#341—531no—
438#339—531no—
439#339—531no—
440#336—531no—
441#336—531no—
442C53#2301711yescharacteristic, complemented, Sylow
443C2×#41—531no—
444C2×#41C22×D5311yescharacteristic
445C2×#41C22×D5311yescharacteristic
446#135—22no—
447#135—22no—
448#135—1062no—
449#135—1062no—
450C2×Q16—531no—
451C2×Q16C4×D5311yescharacteristic
452C2×SD16—531no—
453C2×SD16—531no—
454C2×SD16C4×D5311yescharacteristic
455C2×SD16C4×D5311yescharacteristic
456C2×D8—531no—
457C2×D8C4×D5311yescharacteristic
458#131—22no—
459#131—22no—
460#131—41no—
461#131—41no—
462#131—1062no—
463#131—1062no—
464#131—2121no—
465#131—2121no—
466C2×M16—21no—
467C2×M16—21no—
468C2×M16—531no—
469C2×M16—531no—
470C2×M16—1061no—
471C2×M16—1061no—
472C2×M16C22×D5311yescharacteristic
473C2×M16C22×D5311yescharacteristic
474C22×C8—21no—
475C22×C8—21no—
476C22×C8—531no—
477C22×C8—531no—
478C22×C8—1061no—
479C22×C8—1061no—
480C22×C8C22×D5311yescharacteristic
481C22×C8C22×D5311yescharacteristic
482C4⋊Q8—531no—
483#127—531no—
484#124—531no—
485#124—531no—
486#121—1061no—
487#121—1061no—
488C4×Q8—531no—
489C4×Q8—531no—
490C4×D4—531no—
491C4×D4—531no—
492C4×D4—1061no—
493C4×D4—1061no—
494C4×D4—1061no—
495C4×D4—1061no—
496#117—531no—
497#117—1061no—
498C2×C42—531no—
499C2×C42—531no—
500C2×C42—1061no—
501C2×C42C22×D5311yescharacteristic
502#108—22no—
503#108—1062no—
504C4⋊C8—531no—
505C4⋊C8—531no—
506C4⋊C8—531no—
507C4⋊C8—531no—
508C4⋊C8—531no—
509C4⋊C8—531no—
510C4⋊C8—531no—
511C4⋊C8—531no—
512C4⋊C8—1061no—
513C4⋊C8—1061no—
514C4⋊C8—1061no—
515C4⋊C8—1061no—
516C4⋊C8—1061no—
517C4⋊C8—1061no—
518#104—22no—
519#104—1062no—
520#104—1062no—
521#104—2121no—
522#104—2121no—
523#104C22⋊D5314yescomplemented
524#103—531no—
525#103—531no—
526#103—531no—
527#103—531no—
528#102—531no—
529#102—531no—
530#102—531no—
531#102—531no—
532C22⋊C8—1061no—
533C22⋊C8—1061no—
534C22⋊C8—1061no—
535C22⋊C8—1061no—
536#97—22no—
537#97—1061no—
538C4×C8—1061no—
539C4×C8—1062no—
540#95—1061no—
541#95—1061no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—1061no—
549#41—1061no—
550#41—1061no—
551#41—1061no—
552#41#1171994512yes—
553#41C2×C22⋊D5312yes—
554C2×Q8—531no—
555C2×Q8C2×C4×D5311yescharacteristic
556C2×Q8C2×C4×D5311yescharacteristic
557C2×D4—21no—
558C2×D4—21no—
559C2×D4—531no—
560C2×D4—1061no—
561C2×D4—1061no—
562C2×D4—1061no—
563C2×D4C2×C4×D5311yescharacteristic
564C2×D4C2×C4×D5311yescharacteristic
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4—531no—
569C22×C4—531no—
570C22×C4—1061no—
571C22×C4—1061no—
572C22×C4—1061no—
573C22×C4—1061no—
574C22×C4C23×D5311yescharacteristic
575Q16—22no—
576Q16—1062no—
577SD16—22no—
578SD16—22no—
579SD16—1062no—
580SD16—1062no—
581D8—22no—
582D8—1062no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—42no—
587M16—42no—
588M16—1061no—
589M16—1061no—
590M16—1061no—
591M16—1061no—
592M16—2122no—
593M16—2122no—
594M16C2×C22⋊D5312yes—
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—42no—
602C2×C8—42no—
603C2×C8—531no—
604C2×C8—531no—
605C2×C8—531no—
606C2×C8—531no—
607C2×C8—1061no—
608C2×C8—1061no—
609C2×C8—1061no—
610C2×C8—1061no—
611C2×C8—1061no—
612C2×C8—1061no—
613C2×C8—2122no—
614C2×C8—2122no—
615C2×C8C2×C4×D5311yescharacteristic
616C2×C8C2×C4×D5311yescharacteristic
617C2×C8D4×D5311yescharacteristic
618C2×C8D4×D5311yescharacteristic
619C4⋊C4—531no—
620C4⋊C4—531no—
621C4⋊C4—1061no—
622C4⋊C4—1061no—
623C4⋊C4—1061no—
624C4⋊C4—1061no—
625C22⋊C4—1061no—
626C22⋊C4—1061no—
627C22⋊C4—1061no—
628C22⋊C4—1061no—
629C22⋊C4—1061no—
630C22⋊C4—1061no—
631C22⋊C4—1061no—
632C42—21no—
633C42—531no—
634C42—531no—
635C42—531no—
636C42—531no—
637C42—1061no—
638C42—1061no—
639C42—1061no—
640C42—1061no—
641C42—1061no—
642C42C2×C22⋊D5312yes—
643C23—21no—
644C23—21no—
645C23—1061no—
646C23#41×D5311yescharacteristic
647Q8—21no—
648Q8—21no—
649Q8—21no—
650Q8—1061no—
651Q8—1061no—
652Q8C4×C22⋊D5312yes—
653D4—22no—
654D4—22no—
655D4—21no—
656D4—21no—
657D4—21no—
658D4—41no—
659D4—41no—
660D4—1061no—
661D4—1061no—
662D4—4241no—
663D4—2122no—
664D4—2121no—
665D4—2121no—
666D4C4×C22⋊D5312yes—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—21no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—531no—
677C2×C4—531no—
678C2×C4—531no—
679C2×C4—531no—
680C2×C4—1061no—
681C2×C4—1061no—
682C2×C4—1061no—
683C2×C4—4241no—
684C2×C4—2121no—
685C2×C4—2121no—
686C2×C4—2122no—
687C2×C4—2121no—
688C2×C4—2121no—
689C2×C4—2121no—
690C2×C4—2121no—
691C2×C4—2121no—
692C2×C4C22×C4×D5311yescharacteristic
693C2×C4C2×D4×D5311yescharacteristic
694C2×C4C22×C22⋊D5311yescharacteristic
695C2×C4C2×#1171994511yescharacteristic
696C2×C4#1313326211yescharacteristic
697C2×C4#1313326411yescharacteristic
698C8—21no—
699C8—21no—
700C8—21no—
701C8—21no—
702C8—22no—
703C8—41no—
704C8—1061no—
705C8—1061no—
706C8—1061no—
707C8—1061no—
708C8—2121no—
709C8—2121no—
710C22—21no—
711C22—21no—
712C22—22no—
713C22—41no—
714C22—41no—
715C22—41no—
716C22—41no—
717C22—41no—
718C22—2121no—
719C22—2121no—
720C22—2121no—
721C22C4×D4×D5311yescharacteristic
722C22#1681127211yescharacteristic
723C22#1681132211yescharacteristic
724C4—22no—
725C4—42no—
726C4—41no—
727C4—1061no—
728C4—1061no—
729C4—1061no—
730C4—1061no—
731C4—4241no—
732C4—2121no—
733C4—2121no—
734C4—2121no—
735C4C2×C4×C22⋊D5311yescharacteristic
736C4#1681110211yescharacteristic
737C4D4×C22⋊D5311yescharacteristic
738C4#1681128211yescharacteristic
739C2—21no—
740C2—21no—
741C2—42no—
742C2—81no—
743C2—4241no—
744C2#2027773211yescharacteristic
745C2#2028361511yescharacteristic
746C2#2028362911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC2×C53×#444C2
socleC22×C53C2×C4×D4
prime radical#20284166C2
cosocleC22×C4×C53C24
hypercenterC2×#444D53
hypocenterC53#23017
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ C2×#444

Complements

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

NH ≅ G/Ntype
2. C2×#16810737C2semidirect
3. #20283457C2semidirect
4. #20283281C2semidirect
5. #20275545C2semidirect
6. #20275487C2semidirect
7. #20275426C2semidirect
8. #20275416C2semidirect
9. #20275044C2semidirect
10. #20275042C2semidirect
11. #20274990C2semidirect
12. #20274987C2semidirect
13. #20274575C2semidirect
14. #20274527C2semidirect
15. C2×C53×#444C2semidirect
21. #16810847C4semidirect
22. #16810843C4semidirect
23. #16810840C4semidirect
24. #16810836C4semidirect
25. #16810831C4semidirect
26. #16810826C4semidirect
27. #16810821C4semidirect
28. #16810816C4semidirect
166. #104×C53D4semidirect
367. C2×#444D53semidirect
442. C53#23017semidirect
523. #104C22⋊D53semidirect

Maximal subgroups

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

subgroupindex
#202841662
C2×#168107372
#202834572
#202832812
#202755452
#202754872
#202754262
#202754162
#202750442
#202750422
#202749902
#202749872
#202745752
#202745272
C2×C53×#4442
#2301753