Finite Group Databasebeta

← #27389354

Subgroups — #27389354

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×#16811246C211yesmaximal, characteristic
2C2×#16810578C211yesmaximal, characteristic, complemented
3#20277322C211yesmaximal, characteristic, complemented
4#20275686C211yesmaximal, characteristic, complemented
5#20275674C211yesmaximal, characteristic, complemented
6#20275528C211yesmaximal, characteristic, complemented
7#20275523C211yesmaximal, characteristic, complemented
8#20275151C211yesmaximal, characteristic
9#20275149C211yesmaximal, characteristic, complemented
10#20275143C211yesmaximal, characteristic
11#20274547C211yesmaximal, characteristic, complemented
12#20274539C211yesmaximal, characteristic, complemented
13#103×Dic53C211yesmaximal, characteristic, complemented
14#20274529C211yesmaximal, characteristic, complemented
15C53×#1892C211yesmaximal, characteristic, complemented
16C22×#11719917C2211yescharacteristic
17#16811246—24no—
18#16811246C418yescomplemented
19C2×#13133216C2211yescharacteristic
20C2×#13133212—21no—
21C2×#13133206C2211yescharacteristic
22C2×#13133203—21no—
23C2×#13133199—21no—
24C2×#13133197—21no—
25C2×#13133191C2211yescharacteristic
26C2×Q8×Dic53C2211yescharacteristic
27C2×#13133179C2211yescharacteristic
28C2×#13133176C2211yescharacteristic
29C2×#13133141C2211yescharacteristic
30C2×#13133141C2211yescharacteristic
31C2×#13133139C2211yescharacteristic
32C2×#13133139C2211yescharacteristic
33C2×#13133137C2211yescharacteristic
34C2×#13133137C2211yescharacteristic
35#16810578—24no—
36C2×#13133127C2211yescharacteristic
37C2×#13133127C2211yescharacteristic
38C2×C8×Dic53C2211yescharacteristic
39C2×C8×Dic53C2211yescharacteristic
40#16810517—21no—
41#16810511—21no—
42#16810508—21no—
43#16810506—21no—
44#16810492C2211yescharacteristic
45#16810488C2211yescharacteristic
46#16810483C2211yescharacteristic
47C4⋊C4×Dic53C2211yescharacteristic
48C4⋊C4×Dic53C2211yescharacteristic
49#16810386C2211yescharacteristic
50#16810386C2211yescharacteristic
51#16810385C2211yescharacteristic
52#16810385C2211yescharacteristic
53#16810385C2211yescharacteristic
54#16810385C2211yescharacteristic
55C23×C8×C53C2211yescharacteristic
56C2×C22⋊Q8×C53C2211yescharacteristic
57C2×#103×C53C2211yescharacteristic
58C2×#103×C53C2211yescharacteristic
59C53×#380C2211yescharacteristic
60C53×#340C2211yescharacteristic
61C53×#340C2211yescharacteristic
62C22×Dic106—21no—
63C22×D212C2311yescharacteristic
64C22×C22⋊D53—21no—
65C22×C4×D53—21no—
66C2×#11719917—22no—
67C2×#11719917—22no—
68C2×#11719917—22no—
69C22×#88322C2311yescharacteristic
70C22×#88322C2311yescharacteristic
71#13133216—22no—
72#13133216C2×C414yes—
73#13133212—28no—
74#13133206—22no—
75#13133206C2×C414yes—
76#13133203—28no—
77#13133199—28no—
78#13133197—28no—
79#13133191—22no—
80#13133191C2×C414yes—
81Q8×Dic53—22no—
82Q8×Dic53C2×C414yes—
83#13133179—22no—
84#13133179C2×C414yes—
85#13133176C2×C414yes—
86#13133176D414yes—
87C2×C4⋊Dic53—21no—
88C2×C4⋊Dic53D411yescharacteristic
89C2×C4⋊Dic53D411yescharacteristic
90C2×C4⋊Dic53C2311yescharacteristic
91C2×C4⋊Dic53C2311yescharacteristic
92C2×C4⋊Dic53C2311yescharacteristic
93C2×#11719919—21no—
94C2×#11719919—21no—
95C2×#11719919—21no—
96C2×C22⋊Dic53—21no—
97C2×C22⋊Dic53D411yescharacteristic
98C2×C22⋊Dic53D411yescharacteristic
99C2×#11719921—21no—
100C2×#11719921—21no—
101C2×#11719921—21no—
102C2×#11719921—21no—
103C2×C4×Dic53—21no—
104C2×C4×Dic53—21no—
105C2×C4×Dic53—21no—
106C2×C4×Dic53C2311yescharacteristic
107C2×C4×Dic53C2311yescharacteristic
108#13133141—22no—
109#13133141—22no—
110#13133139—22no—
111#13133139—22no—
112#13133137—22no—
113#13133137—22no—
114#13133127—22no—
115#13133127—22no—
116C8×Dic53—22no—
117C8×Dic53—22no—
118#13133124—21no—
119#13133124—21no—
120#13133124—21no—
121#13133124—21no—
122#13133124—21no—
123C22×Q8×C53C2311yescharacteristic
124C23×C4×C53C2311yescharacteristic
125C22×C8×C53—22no—
126C22×C8×C53—22no—
127C22×C8×C53—22no—
128C22×C8×C53C2311yescharacteristic
129C22×C8×C53C2311yescharacteristic
130C22⋊Q8×C53—22no—
131C22⋊Q8×C53C2×C414yes—
132C2×C4⋊C4×C53—21no—
133C2×C4⋊C4×C53C2311yescharacteristic
134C2×C4⋊C4×C53C2311yescharacteristic
135C2×C4⋊C4×C53C2311yescharacteristic
136C2×C22⋊C4×C53—21no—
137C2×C22⋊C4×C53—21no—
138#103×C53—22no—
139#103×C53—22no—
140#95×C53—21no—
141C24×C53C2×D411yescharacteristic
142C23×D53—21no—
143C2×Q8×C53—21no—
144C2×Q8×C53—21no—
145C2×Q8×C53—21no—
146C2×Q8×C53—21no—
147C2×Q8×C53—21no—
148C2×Q8×C53C22×C412yes—
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—21no—
156C22×C4×C53—21no—
157C22×C4×C53C22×C412yes—
158C22×C4×C53C2×D411yescharacteristic
159C22×C4×C53C2×D412yes—
160C22×C4×C53C2411yescharacteristic
161C2×C22⋊D53—24no—
162C2×C22⋊D53—81no—
163C2×C22⋊D53—81no—
164C22×Dic53—21no—
165C22×Dic53—21no—
166C22×Dic53—21no—
167C22×Dic53C2×D411yescharacteristic
168C22×Dic53C2×D411yescharacteristic
169C22×Dic53C2×D411yescharacteristic
170C22×Dic53C2×D411yescharacteristic
171C2×D212—21no—
172C2×D212—21no—
173C2×D212—21no—
174C2×D212—21no—
175C2×D212—21no—
176C2×D212C22×C412yes—
177C2×C4×D53—24no—
178C2×C4×D53—81no—
179C2×C4×D53—81no—
180C2×Dic106—24no—
181C2×Dic106—81no—
182C2×Dic106—81no—
183C2×C8×C53—28no—
184C2×C8×C53—21no—
185C2×C8×C53—21no—
186C2×C8×C53—21no—
187C2×C8×C53—21no—
188C2×C8×C53#4112yes—
189C2×C8×C53#4112yes—
190C4⋊C4×C53—24no—
191C4⋊C4×C53—21no—
192C4⋊C4×C53—21no—
193C4⋊C4×C53—21no—
194C4⋊C4×C53—21no—
195C4⋊C4×C53—21no—
196C4⋊C4×C53C22×C412yes—
197C22⋊C4×C53—24no—
198C22⋊C4×C53—81no—
199C22⋊Dic53—81no—
200C22⋊Dic53C22⋊C414yes—
201C22⋊Dic53C22⋊C414yes—
202#11719921—24no—
203#11719921—24no—
204#11719921—24no—
205#11719921—24no—
206C4⋊Dic53—21no—
207C4⋊Dic53—24no—
208C4⋊Dic53—21no—
209C4⋊Dic53—21no—
210C4⋊Dic53—21no—
211C4⋊Dic53—21no—
212C4⋊Dic53C22⋊C414yes—
213C4⋊Dic53C22⋊C414yes—
214C4⋊Dic53C22×C412yes—
215#11719919—24no—
216#11719919—81no—
217#11719919—81no—
218C4×Dic53—24no—
219C4×Dic53—81no—
220C4×Dic53—81no—
221C4×Dic53C22×C412yes—
222C4×Dic53C22×C412yes—
223C4×Dic53C2×D412yes—
224C4×Dic53C2×D412yes—
225#11719917—28no—
226C2×#88322—21no—
227C2×#88322—21no—
228C2×#88322—21no—
229C2×#88322—21no—
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—
247Q8×C53—22no—
248Q8×C53—22no—
249Q8×C53—41no—
250Q8×C53—41no—
251C2×C4×C53—21no—
252C2×C4×C53—21no—
253C2×C4×C53—22no—
254C2×C4×C53—22no—
255C2×C4×C53—22no—
256C2×C4×C53—22no—
257C2×C4×C53—22no—
258C2×C4×C53—22no—
259C2×C4×C53—41no—
260C2×C4×C53—41no—
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×C53C2×C22⋊C412yes—
270C2×C4×C53C23×C411yescharacteristic
271C2×C4×C53C22×D411yescharacteristic
272C2×C4×C53C2×#4111yescharacteristic
273C2×C4×C53C2×#4111yescharacteristic
274C2×C4×C53C2×#4111yescharacteristic
275C2×C4×C53C2×#4111yescharacteristic
276C22⋊D53—84no—
277C2×Dic53—21no—
278C2×Dic53—21no—
279C2×Dic53—21no—
280C2×Dic53—21no—
281C2×Dic53—21no—
282C2×Dic53—21no—
283C2×Dic53—21no—
284C2×Dic53—21no—
285C2×Dic53—22no—
286C2×Dic53—41no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—41no—
292C2×Dic53—41no—
293C2×Dic53—41no—
294C2×Dic53C2×C22⋊C412yes—
295C2×Dic53C2×C22⋊C412yes—
296C2×Dic53C2×C22⋊C412yes—
297C2×Dic53C2×C22⋊C412yes—
298D212—22no—
299D212—22no—
300D212—41no—
301D212—41no—
302C4×D53—84no—
303Dic106—84no—
304C8×C53—22no—
305C8×C53—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—42no—
332C4×C53—42no—
333C4×C53—81no—
334C4×C53—81no—
335C4×C53C4×#4111yescharacteristic
336C4×C53C4×#4111yescharacteristic
337C4×C53#52511yescharacteristic
338C4×C53#52511yescharacteristic
339Dic53—22no—
340Dic53—22no—
341Dic53—22no—
342Dic53—22no—
343Dic53—42no—
344Dic53—81no—
345Dic53—81no—
346C2×#542—531no—
347C2×#405—531no—
348#2314—531no—
349#1993—531no—
350#1990—531no—
351#1959—531no—
352#1958—531no—
353#1895—531no—
354#1894—531no—
355#1893—531no—
356#1892D5311yescharacteristic, complemented
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×C8C2×D5311yescharacteristic
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—1061no—
380C2×C22⋊Q8C2×D5311yescharacteristic
381C2×#121—531no—
382C2×C4×Q8—531no—
383C2×C4×D4—531no—
384C2×#117—531no—
385C2×#103—531no—
386C2×#103—531no—
387C2×#103C2×D5311yescharacteristic
388C2×#103C2×D5311yescharacteristic
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—1061no—
399#388—1061no—
400#387—1061no—
401#387—1061no—
402#384—531no—
403#382—531no—
404#380—531no—
405#380C2×D5311yescharacteristic
406C4×C4⋊C4—531no—
407C4×C4⋊C4—531no—
408#340—531no—
409#340—531no—
410#340—531no—
411#340—531no—
412#340—531no—
413#340—531no—
414#340C2×D5311yescharacteristic
415#340C2×D5311yescharacteristic
416C53#2141211yescharacteristic, complemented, Sylow
417C22×Q8—1061no—
418C22×Q8C22×D5311yescharacteristic
419C22×D4—531no—
420C22×D4—1061no—
421C23×C4—1061no—
422C23×C4C22×D5311yescharacteristic
423C2×M16—1062no—
424C2×M16—1062no—
425C2×M16—1062no—
426C22×C8—22no—
427C22×C8—22no—
428C22×C8—22no—
429C22×C8—531no—
430C22×C8—531no—
431C22×C8C22×D5311yescharacteristic
432C22×C8C22×D5311yescharacteristic
433C4⋊Q8—534no—
434C4⋊Q8—1062no—
435#126—1068no—
436#124—534no—
437#124—1062no—
438#124—1068no—
439#123—1068no—
440C22⋊Q8—22no—
441C22⋊Q8—1068no—
442C22⋊Q8C4×D5314yes—
443#121—534no—
444#121—1062no—
445C4×Q8—534no—
446C4×Q8—1062no—
447C4×D4—534no—
448C4×D4—1062no—
449#117—534no—
450#117—534no—
451C2×C4⋊C4—21no—
452C2×C4⋊C4—531no—
453C2×C4⋊C4—531no—
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⋊C4—1061no—
461C2×C4⋊C4C22×D5311yescharacteristic
462C2×C4⋊C4C22×D5311yescharacteristic
463C2×C4⋊C4C22×D5311yescharacteristic
464C2×C22⋊C4—21no—
465C2×C22⋊C4—21no—
466C2×C22⋊C4—531no—
467C2×C22⋊C4—531no—
468C2×C22⋊C4—1061no—
469C2×C22⋊C4—1061no—
470C2×C22⋊C4—1061no—
471C2×C22⋊C4—1061no—
472C2×C22⋊C4—1061no—
473C2×C42—531no—
474C2×C42—531no—
475C2×C42—1061no—
476C2×C42—1061no—
477C2×C42—1061no—
478#103—22no—
479#103—22no—
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—1061no—
492#95—1061no—
493#95—1061no—
494#95—1061no—
495#95—1061no—
496C24—1061no—
497C24D4×D5311yescharacteristic
498C2×Q8—21no—
499C2×Q8—21no—
500C2×Q8—21no—
501C2×Q8—21no—
502C2×Q8—21no—
503C2×Q8—1064no—
504C2×Q8—4241no—
505C2×Q8—4241no—
506C2×Q8C2×C4×D5312yes—
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—531no—
525C22×C4—531no—
526C22×C4—531no—
527C22×C4—531no—
528C22×C4—1064no—
529C22×C4—1061no—
530C22×C4—1061no—
531C22×C4—1061no—
532C22×C4—4241no—
533C22×C4—4241no—
534C22×C4C2×C4×D5312yes—
535C22×C4D4×D5311yescharacteristic
536C22×C4D4×D5312yes—
537C22×C4C23×D5311yescharacteristic
538M16—1068no—
539C2×C8—28no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—532no—
545C2×C8—532no—
546C2×C8—1061no—
547C2×C8—1061no—
548C2×C8—1061no—
549C2×C8—1061no—
550C2×C8#1171994712yes—
551C2×C8#1171994712yes—
552C4⋊C4—24no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—534no—
559C4⋊C4—534no—
560C4⋊C4—532no—
561C4⋊C4—1064no—
562C4⋊C4—1064no—
563C4⋊C4—1061no—
564C4⋊C4—1061no—
565C4⋊C4—1061no—
566C4⋊C4—1061no—
567C4⋊C4—1061no—
568C4⋊C4—4241no—
569C4⋊C4—4241no—
570C4⋊C4C2×C4×D5312yes—
571C22⋊C4—24no—
572C22⋊C4—81no—
573C22⋊C4—534no—
574C22⋊C4—534no—
575C22⋊C4—1064no—
576C22⋊C4—1064no—
577C22⋊C4—1064no—
578C22⋊C4—1064no—
579C22⋊C4—4241no—
580C42—532no—
581C42—532no—
582C42—532no—
583C42—532no—
584C42—1064no—
585C42—4241no—
586C42—4241no—
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—
600C23C22⋊C4×D5312yes—
601C23C2×D4×D5311yescharacteristic
602Q8—22no—
603Q8—22no—
604Q8—41no—
605Q8—41no—
606Q8—4244no—
607D4—1062no—
608D4—1062no—
609D4—4244no—
610D4—2121no—
611D4—2121no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—532no—
631C2×C4—532no—
632C2×C4—532no—
633C2×C4—532no—
634C2×C4—1061no—
635C2×C4—1061no—
636C2×C4—1061no—
637C2×C4—1061no—
638C2×C4—1061no—
639C2×C4—1061no—
640C2×C4—1061no—
641C2×C4—1061no—
642C2×C4—1062no—
643C2×C4—4244no—
644C2×C4—2121no—
645C2×C4—2121no—
646C2×C4—2121no—
647C2×C4—2121no—
648C2×C4—2121no—
649C2×C4—2121no—
650C2×C4—2121no—
651C2×C4—2121no—
652C2×C4C22⋊C4×D5312yes—
653C2×C4C22×C4×D5311yescharacteristic
654C2×C4C2×D4×D5311yescharacteristic
655C2×C4#41×D5311yescharacteristic
656C2×C4#41×D5311yescharacteristic
657C2×C4C2×#1171994711yescharacteristic
658C2×C4C2×#1171994711yescharacteristic
659C8—22no—
660C8—22no—
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—
677C22C2×C22⋊C4×D5311yescharacteristic
678C22#1681116811yescharacteristic
679C22#1681116811yescharacteristic
680C22#1681142511yescharacteristic
681C22#1681142911yescharacteristic
682C22#1681143011yescharacteristic
683C22#1681143611yescharacteristic
684C4—22no—
685C4—42no—
686C4—42no—
687C4—81no—
688C4—81no—
689C4—1062no—
690C4—1062no—
691C4—1062no—
692C4—1062no—
693C4—4241no—
694C4—4241no—
695C4—2122no—
696C4C4×#1171994711yescharacteristic
697C4C4×#1171994711yescharacteristic
698C4#1681112911yescharacteristic
699C4#1681113111yescharacteristic
700C2—42no—
701C2—4242no—
702C2#2027720011yescharacteristic
703C2#2028323711yescharacteristic
704C2#2028324311yescharacteristic
705C2#2028532511yescharacteristic
706C2#2028535511yescharacteristic
707C2#2028538611yescharacteristic
708C2#2028539311yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC53×#1892C2
socleC23×C53C22×D4
prime radicalC2×#13133191C22
cosocleC22×C4×C53C24
hypercenter#1892D53
hypocenterC53#21412
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1892

Complements

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

NH ≅ G/Ntype
2. C2×#16810578C2semidirect
3. #20277322C2semidirect
4. #20275686C2semidirect
5. #20275674C2semidirect
6. #20275528C2semidirect
7. #20275523C2semidirect
9. #20275149C2semidirect
11. #20274547C2semidirect
12. #20274539C2semidirect
13. #103×Dic53C2semidirect
14. #20274529C2semidirect
15. C53×#1892C2semidirect
18. #16811246C4semidirect
356. #1892D53semidirect
416. C53#21412semidirect

Maximal subgroups

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

subgroupindex
C2×#168112462
C2×#168105782
#202773222
#202756862
#202756742
#202755282
#202755232
#202751512
#202751492
#202751432
#202745472
#202745392
#103×Dic532
#202745292
C53×#18922
#2141253