Finite Group Databasebeta

← #27406381

Subgroups — #27406381

Order 13568.

1034 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810836C211yesmaximal, characteristic
2C2×#16810714C211yesmaximal, characteristic, complemented
3#20277788C211yesmaximal, characteristic, complemented
4#20277620C211yesmaximal, characteristic, complemented
5#20275525C211yesmaximal, characteristic, complemented
6#20275480C211yesmaximal, characteristic, complemented
7#20275395C211yesmaximal, characteristic, complemented
8#20275391C211yesmaximal, characteristic, complemented
9#20275065C211yesmaximal, characteristic
10#20275049C211yesmaximal, characteristic, complemented
11#20274976C211yesmaximal, characteristic, complemented
12#20274966C211yesmaximal, characteristic, complemented
13C8×#11719919C211yesmaximal, characteristic, complemented
14#102×Dic53C211yesmaximal, characteristic, complemented
15C2×C4×D8×C53C211yesmaximal, characteristic
16C22×#11719923C2211yescharacteristic
17C2×#13133204C2211yescharacteristic
18C2×#13133182C2211yescharacteristic
19C2×D4×Dic53C2211yescharacteristic
20C2×D4×Dic53C2211yescharacteristic
21#16810836C418yescomplemented
22#16810714—24no—
23C2×#13133148C2211yescharacteristic
24C2×#13133146C2211yescharacteristic
25C2×#13133142C2211yescharacteristic
26C2×#13133142C2211yescharacteristic
27C2×#13133140C2211yescharacteristic
28C2×#13133138C2211yescharacteristic
29C2×#13133138C2211yescharacteristic
30C2×#13133138C2211yescharacteristic
31C2×C8×Dic53C2211yescharacteristic
32C2×C8×Dic53C2211yescharacteristic
33#16810529C2211yescharacteristic
34#16810526C2211yescharacteristic
35#16810521C2211yescharacteristic
36#16810519C2211yescharacteristic
37#16810517—21no—
38#16810511—21no—
39#16810496—21no—
40#16810496—21no—
41#16810495—21no—
42#16810488C2211yescharacteristic
43#16810481—21no—
44C4⋊C4×Dic53C2211yescharacteristic
45C4×#11719919C2211yescharacteristic
46C4×C22⋊Dic53—21no—
47C2×#13133124—21no—
48#16810386C2211yescharacteristic
49#16810386C2211yescharacteristic
50#16810385C2211yescharacteristic
51#16810385C2211yescharacteristic
52#16810378C2211yescharacteristic
53#16810377C2211yescharacteristic
54C22×D8×C53C2211yescharacteristic
55C2×C4×D4×C53C2211yescharacteristic
56C2×C4×D4×C53C2211yescharacteristic
57C4×D8×C53—24no—
58C2×#107×C53C2211yescharacteristic
59C2×#102×C53C2211yescharacteristic
60C2×#102×C53C2211yescharacteristic
61C2×C4×C8×C53C2211yescharacteristic
62C22×Dic106C2311yescharacteristic
63C23×Dic53—21no—
64C23×Dic53—21no—
65C2×#11719923—22no—
66C2×#11719923—22no—
67C2×#11719923C2×C414yescomplemented
68C22×#88322C2311yescharacteristic
69C22×#88322C2311yescharacteristic
70#13133204—22no—
71#13133204C2×C414yescomplemented
72#13133182—22no—
73#13133182—41no—
74D4×Dic53—22no—
75D4×Dic53—22no—
76D4×Dic53—41no—
77D4×Dic53C2×C414yescomplemented
78C2×C4⋊Dic53C2311yescharacteristic
79C2×C4⋊Dic53C2311yescharacteristic
80C2×C4⋊Dic53C2311yescharacteristic
81C2×#11719919—21no—
82C2×#11719919—21no—
83C2×#11719919—21no—
84C2×#11719919D411yescharacteristic
85C2×#11719919D411yescharacteristic
86C2×C22⋊Dic53—21no—
87C2×C22⋊Dic53—21no—
88C2×C22⋊Dic53—21no—
89C2×C22⋊Dic53—21no—
90C2×C22⋊Dic53—21no—
91C2×C22⋊Dic53—21no—
92C2×C4×Dic53—21no—
93C2×C4×Dic53—21no—
94C2×C4×Dic53C2311yescharacteristic
95C2×C4×Dic53C2311yescharacteristic
96#13133148—22no—
97#13133146C2×C414yescomplemented
98#13133142—22no—
99#13133142C2×C414yescomplemented
100#13133140—41no—
101#13133138—22no—
102#13133138—41no—
103#13133138C2×C414yescomplemented
104C8×Dic53—22no—
105C8×Dic53—22no—
106#13133124—21no—
107#13133124—21no—
108#13133124—21no—
109#13133124—21no—
110#13133124—21no—
111#13133124—21no—
112#13133124—21no—
113#13133124D411yescharacteristic
114#13133124D411yescharacteristic
115C22×D4×C53C2311yescharacteristic
116C22×D4×C53C2311yescharacteristic
117C23×C4×C53—21no—
118C23×C4×C53—21no—
119C2×D8×C53—22no—
120C2×D8×C53—22no—
121C2×D8×C53C2×C414yes—
122C22×C8×C53C2311yescharacteristic
123C22×C8×C53C2311yescharacteristic
124C4×D4×C53—22no—
125C4×D4×C53—22no—
126C4×D4×C53—41no—
127C4×D4×C53—41no—
128C2×C4⋊C4×C53C2311yescharacteristic
129C2×C4⋊C4×C53C2311yescharacteristic
130C2×C22⋊C4×C53—21no—
131C2×C22⋊C4×C53—21no—
132C2×C42×C53C2311yescharacteristic
133#107×C53—22no—
134#102×C53—22no—
135#102×C53D414yes—
136C4×C8×C53—22no—
137C24×C53—21no—
138C24×C53—21no—
139C2×D4×C53—21no—
140C2×D4×C53—21no—
141C2×D4×C53—21no—
142C2×D4×C53—21no—
143C2×D4×C53—21no—
144C2×D4×C53—21no—
145C2×D4×C53—21no—
146C2×D4×C53—21no—
147C2×D4×C53C22×C412yes—
148C2×D4×C53C22×C412yes—
149C2×D4×C53C2×D412yes—
150C2×D4×C53#4112yes—
151C22×C4×C53—21no—
152C22×C4×C53—21no—
153C22×C4×C53—42no—
154C22×C4×C53—42no—
155C22×C4×C53—42no—
156C22×C4×C53—42no—
157C22×C4×C53—81no—
158C22×C4×C53—81no—
159C22×C4×C53C2×D411yescharacteristic
160C22×C4×C53C2×D411yescharacteristic
161C22×C4×C53C2411yescharacteristic
162C22×Dic53—21no—
163C22×Dic53—21no—
164C22×Dic53—24no—
165C22×Dic53—21no—
166C22×Dic53—21no—
167C22×Dic53—42no—
168C22×Dic53—42no—
169C22×Dic53—81no—
170C22×Dic53—81no—
171C22×Dic53—81no—
172C22×Dic53C2×D411yescharacteristic
173C22×Dic53C2×D411yescharacteristic
174C22×Dic53C2×D411yescharacteristic
175C22×Dic53C2×D411yescharacteristic
176C2×Dic106—21no—
177C2×Dic106—21no—
178C2×Dic106—21no—
179C2×Dic106—21no—
180C2×Dic106—21no—
181C2×Dic106C22×C412yes—
182D8×C53—28no—
183C2×C8×C53—21no—
184C2×C8×C53—21no—
185C2×C8×C53—21no—
186C2×C8×C53—21no—
187C2×C8×C53C22×C412yes—
188C2×C8×C53C2×D412yes—
189C4⋊C4×C53—21no—
190C4⋊C4×C53—21no—
191C4⋊C4×C53—21no—
192C4⋊C4×C53C2×D412yes—
193C22⋊C4×C53—42no—
194C22⋊C4×C53—42no—
195C42×C53—21no—
196C42×C53—21no—
197C22⋊Dic53—24no—
198C22⋊Dic53—24no—
199C22⋊Dic53—24no—
200C22⋊Dic53—42no—
201C22⋊Dic53—42no—
202C22⋊Dic53—81no—
203#11719923—28no—
204C4⋊Dic53—21no—
205C4⋊Dic53—21no—
206C4⋊Dic53—21no—
207C4⋊Dic53—21no—
208C4⋊Dic53—21no—
209C4⋊Dic53C22×C412yes—
210#11719919—22no—
211#11719919—22no—
212#11719919—42no—
213#11719919—81no—
214#11719919—81no—
215C4×Dic53—21no—
216C4×Dic53—21no—
217C4×Dic53—42no—
218C4×Dic53—81no—
219C4×Dic53C22×C412yes—
220C4×Dic53#4112yes—
221C2×#88322—21no—
222C2×#88322—21no—
223C2×#88322—21no—
224C2×#88322—21no—
225C2×#88322—21no—
226C2×#88322C22×C412yes—
227C23×C53—22no—
228C23×C53—22no—
229C23×C53—22no—
230C23×C53—22no—
231C23×C53—41no—
232C23×C53—41no—
233C23×C53—41no—
234C23×C53—41no—
235C23×C53—41no—
236C23×C53—41no—
237C23×C53—41no—
238C23×C53—41no—
239C23×C53—41no—
240C23×C53—41no—
241C23×C53C22×D411yescharacteristic
242D4×C53—22no—
243D4×C53—22no—
244D4×C53—22no—
245D4×C53—22no—
246D4×C53—22no—
247D4×C53—41no—
248D4×C53—41no—
249D4×C53C4×D414yes—
250C2×C4×C53—21no—
251C2×C4×C53—21no—
252C2×C4×C53—22no—
253C2×C4×C53—21no—
254C2×C4×C53—21no—
255C2×C4×C53—21no—
256C2×C4×C53—41no—
257C2×C4×C53—41no—
258C2×C4×C53—41no—
259C2×C4×C53—41no—
260C2×C4×C53—41no—
261C2×C4×C53—84no—
262C2×C4×C53—84no—
263C2×C4×C53#13512yes—
264C2×C4×C53C23×C411yescharacteristic
265C2×C4×C53C22×D411yescharacteristic
266C2×C4×C53C2×#4111yescharacteristic
267C2×C4×C53C2×#4111yescharacteristic
268C2×C4×C53H(5,𝔽2)11yescharacteristic
269C2×C4×C532−1+411yescharacteristic
270C2×Dic53—21no—
271C2×Dic53—21no—
272C2×Dic53—21no—
273C2×Dic53—21no—
274C2×Dic53—21no—
275C2×Dic53—21no—
276C2×Dic53—22no—
277C2×Dic53—22no—
278C2×Dic53—21no—
279C2×Dic53—21no—
280C2×Dic53—21no—
281C2×Dic53—41no—
282C2×Dic53—41no—
283C2×Dic53—41no—
284C2×Dic53—41no—
285C2×Dic53—41no—
286C2×Dic53—41no—
287C2×Dic53—41no—
288C2×Dic53—41no—
289C2×Dic53—41no—
290C2×Dic53—41no—
291C2×Dic53—84no—
292C2×Dic53—84no—
293C2×Dic53C4×D412yes—
294C2×Dic53C4×D412yes—
295C2×Dic53#13512yes—
296Dic106—22no—
297Dic106—22no—
298Dic106—41no—
299Dic106—41no—
300C8×C53—22no—
301C8×C53—22no—
302#88322—22no—
303#88322—41no—
304#22999—531nomaximal, Sylow
305C22×C53—24no—
306C22×C53—42no—
307C22×C53—42no—
308C22×C53—42no—
309C22×C53—42no—
310C22×C53—42no—
311C22×C53—42no—
312C22×C53—42no—
313C22×C53—42no—
314C22×C53—42no—
315C22×C53—81no—
316C22×C53—81no—
317C22×C53—81no—
318C22×C53—81no—
319C22×C53C2×C4×D411yescharacteristic
320C22×C53D4211yescharacteristic
321C22×C53#54811yescharacteristic
322C22×C53C2×#13511yescharacteristic
323C22×C53C2×#13511yescharacteristic
324C22×C53#57611yescharacteristic
325C22×C53#57711yescharacteristic
326C4×C53—22no—
327C4×C53—42no—
328C4×C53—41no—
329C4×C53—81no—
330C4×C53C2×C4×D411yescharacteristic
331C4×C53#52011yescharacteristic
332C4×C53#54711yescharacteristic
333C4×C53#55311yescharacteristic
334Dic53—22no—
335Dic53—22no—
336Dic53—22no—
337Dic53—42no—
338Dic53—42no—
339Dic53—41no—
340Dic53—81no—
341Dic53—81no—
342C2×#463—531no—
343C2×C4×SD16—531no—
344C2×C4×D8D5311yescharacteristic
345#2367—531no—
346#2349—531no—
347#1958—531no—
348#1949—531no—
349#1934—531no—
350#1933—531no—
351#1879—531no—
352#1877—531no—
353#1864—531no—
354#1863—531no—
355C8×C4⋊C4—531no—
356C4×#102—531no—
357C2×C53—44no—
358C2×C53—82no—
359C2×C53#236111yescharacteristic
360C2×C53C4×#13511yescharacteristic
361C2×C53#294611yescharacteristic
362C2×C53#328011yescharacteristic
363C2×C53#328211yescharacteristic
364C2×C53#336011yescharacteristic
365C2×C53#336111yescharacteristic
366C22×SD16—531no—
367C22×D8C2×D5311yescharacteristic
368C2×#124—531no—
369C2×C4×Q8—531no—
370C2×C4×D4—531no—
371C2×C4×D4—531no—
372C2×C4×D4C2×D5311yescharacteristic
373C2×C4×D4C2×D5311yescharacteristic
374#463—538no—
375C4×SD16—1064no—
376C4×D8—24no—
377C2×#107C2×D5311yescharacteristic
378C2×#106—531no—
379C2×C4⋊C8—531no—
380C2×#103—531no—
381C2×#103—531no—
382C2×#103—531no—
383C2×#102—531no—
384C2×#102—531no—
385C2×#102—531no—
386C2×#102C2×D5311yescharacteristic
387C2×#102C2×D5311yescharacteristic
388C2×C4×C8—531no—
389C2×C4×C8—531no—
390C2×C4×C8C2×D5311yescharacteristic
391#391—531no—
392#390—531no—
393#389—531no—
394#389—531no—
395#388—1061no—
396#388—1061no—
397#385—1061no—
398#385—1061no—
399#385—1061no—
400#382—531no—
401#380—1061no—
402C4×C4⋊C4—531no—
403C4×C4⋊C4—531no—
404C4×C22⋊C4—1061no—
405C2×#95—1061no—
406#340—531no—
407#340—531no—
408#340—531no—
409#340—531no—
410#336—531no—
411#336—531no—
412C53#2299911yescharacteristic, complemented, Sylow
413C22×Q8—531no—
414C22×D4C22×D5311yescharacteristic
415C22×D4C22×D5311yescharacteristic
416C23×C4—21no—
417C23×C4—21no—
418C23×C4—1061no—
419C23×C4—1061no—
420C2×SD16—534no—
421C2×SD16—1062no—
422C2×SD16—1062no—
423C2×D8—22no—
424C2×D8—22no—
425C2×D8C4×D5314yes—
426C22×C8—531no—
427C22×C8—531no—
428C22×C8C22×D5311yescharacteristic
429C22×C8C22×D5311yescharacteristic
430#124—534no—
431#124—1062no—
432C4×Q8—1062no—
433C4×Q8—2121no—
434C4×D4—22no—
435C4×D4—22no—
436C4×D4—41no—
437C4×D4—41no—
438C4×D4—534no—
439C4×D4—1062no—
440C4×D4—1062no—
441C4×D4—2121no—
442C2×C4⋊C4—531no—
443C2×C4⋊C4—531no—
444C2×C4⋊C4—531no—
445C2×C4⋊C4—531no—
446C2×C4⋊C4—531no—
447C2×C4⋊C4—1061no—
448C2×C4⋊C4—1061no—
449C2×C4⋊C4—1061no—
450C2×C4⋊C4C22×D5311yescharacteristic
451C2×C4⋊C4C22×D5311yescharacteristic
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—1061no—
455C2×C22⋊C4—1061no—
456C2×C22⋊C4—1061no—
457C2×C22⋊C4—1061no—
458C2×C22⋊C4—1061no—
459C2×C22⋊C4—1061no—
460C2×C42—531no—
461C2×C42—531no—
462C2×C42—1061no—
463C2×C42—1061no—
464C2×C42C22×D5311yescharacteristic
465#107—22no—
466#106—1062no—
467C4⋊C8—534no—
468#103—534no—
469#103—1062no—
470#103—2121no—
471#102—22no—
472#102—534no—
473#102—1062no—
474#102—2121no—
475#102C22⋊D5314yes—
476C4×C8—22no—
477C4×C8—1062no—
478C4×C8—1062no—
479#95—531no—
480#95—531no—
481#95—1061no—
482#95—1061no—
483#95—1061no—
484#95—1061no—
485#95—1061no—
486#95—1061no—
487#95—1061no—
488C24—21no—
489C24—21no—
490C2×Q8—532no—
491C2×Q8—1061no—
492C2×Q8—1061no—
493C2×Q8—1061no—
494C2×Q8—1061no—
495C2×Q8—1061no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4C2×C4×D5312yes—
505C2×D4C2×C4×D5312yes—
506C2×D4#1171994512yes—
507C2×D4C2×C22⋊D5312yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—81no—
515C22×C4—81no—
516C22×C4—531no—
517C22×C4—531no—
518C22×C4—531no—
519C22×C4—531no—
520C22×C4—1064no—
521C22×C4—1061no—
522C22×C4—1061no—
523C22×C4—1061no—
524C22×C4—1061no—
525C22×C4—4241no—
526C22×C4—4241no—
527C22×C4—4241no—
528C22×C4—2122no—
529C22×C4—2122no—
530C22×C4D4×D5311yescharacteristic
531C22×C4D4×D5311yescharacteristic
532C22×C4C23×D5311yescharacteristic
533SD16—1068no—
534D8—28no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—532no—
540C2×C8—1061no—
541C2×C8—1061no—
542C2×C8—1061no—
543C2×C8—1061no—
544C2×C8—1061no—
545C2×C8C2×C4×D5312yes—
546C2×C8C2×C22⋊D5312yes—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—532no—
551C4⋊C4—1062no—
552C4⋊C4—1062no—
553C4⋊C4—1061no—
554C4⋊C4—1061no—
555C4⋊C4—1061no—
556C4⋊C4—1061no—
557C4⋊C4—1061no—
558C4⋊C4—4241no—
559C4⋊C4—4241no—
560C4⋊C4—2122no—
561C4⋊C4C2×C22⋊D5312yes—
562C22⋊C4—42no—
563C22⋊C4—42no—
564C22⋊C4—1064no—
565C22⋊C4—1064no—
566C22⋊C4—1064no—
567C22⋊C4—4241no—
568C22⋊C4—2122no—
569C22⋊C4—2122no—
570C42—21no—
571C42—21no—
572C42—532no—
573C42—532no—
574C42—1061no—
575C42—1061no—
576C42—4241no—
577C42—2122no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23C2×D4×D5311yescharacteristic
593Q8—1062no—
594Q8—1062no—
595Q8—2121no—
596Q8—2121no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—22no—
601D4—22no—
602D4—41no—
603D4—41no—
604D4C4×C22⋊D5314yes—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—84no—
617C2×C4—84no—
618C2×C4—532no—
619C2×C4—532no—
620C2×C4—532no—
621C2×C4—1061no—
622C2×C4—1061no—
623C2×C4—1061no—
624C2×C4—1061no—
625C2×C4—1061no—
626C2×C4—1061no—
627C2×C4—1062no—
628C2×C4—1062no—
629C2×C4—1061no—
630C2×C4—1061no—
631C2×C4—1061no—
632C2×C4—4244no—
633C2×C4—4244no—
634C2×C4—2121no—
635C2×C4—2121no—
636C2×C4—2121no—
637C2×C4—2121no—
638C2×C4—2121no—
639C2×C4—2121no—
640C2×C4—2121no—
641C2×C4—2121no—
642C2×C4—2121no—
643C2×C4—2121no—
644C2×C4#1313323612yes—
645C2×C4C22×C4×D5311yescharacteristic
646C2×C4C22×C22⋊D5311yescharacteristic
647C2×C4#41×D5311yescharacteristic
648C2×C4C2×#1171994511yescharacteristic
649C2×C4#1313326211yescharacteristic
650C2×C4#1313326411yescharacteristic
651C8—22no—
652C8—22no—
653C8—1062no—
654C8—2121no—
655C22—24no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—42no—
662C22—42no—
663C22—42no—
664C22—42no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C4×D4×D5311yescharacteristic
670C22D4×C22⋊D5311yescharacteristic
671C22#1681128211yescharacteristic
672C22#135×D5311yescharacteristic
673C22C2×#1313323611yescharacteristic
674C22#1681142411yescharacteristic
675C22#1681143011yescharacteristic
676C4—22no—
677C4—42no—
678C4—41no—
679C4—81no—
680C4—1062no—
681C4—1062no—
682C4—1062no—
683C4—4241no—
684C4—4241no—
685C4—2122no—
686C4—2121no—
687C4—2122no—
688C4C2×C4×C22⋊D5311yescharacteristic
689C4#1681110211yescharacteristic
690C4#1681127211yescharacteristic
691C4#1681132211yescharacteristic
692C2—44no—
693C2—82no—
694C2#2027773211yescharacteristic
695C2C4×#1313323611yescharacteristic
696C2#2028354011yescharacteristic
697C2#2028640011yescharacteristic
698C2#2028641611yescharacteristic
699C2#2028736211yescharacteristic
700C2#2028737611yescharacteristic
subgroupG/H
centerC23C2×D4×D53
commutatorC2×C4×C53C23×C4
FrattiniC22×C4C23×D53
FittingC2×C4×D8×C53C2
socleC23×C53C22×D4
prime radicalC22×D8×C53C22
cosocleC22×C4×C53C24
hypercenterC2×C4×D8D53
hypocenterC53#22999
LCSG ▷ C2×C4×C53 ▷ C2×C53 ▷ C53
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×D8

Complements

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

NH ≅ G/Ntype
2. C2×#16810714C2semidirect
3. #20277788C2semidirect
4. #20277620C2semidirect
5. #20275525C2semidirect
6. #20275480C2semidirect
7. #20275395C2semidirect
8. #20275391C2semidirect
10. #20275049C2semidirect
11. #20274976C2semidirect
12. #20274966C2semidirect
13. C8×#11719919C2semidirect
14. #102×Dic53C2semidirect
21. #16810836C4semidirect
67. C2×#11719923C2×C4semidirect
71. #13133204C2×C4semidirect
77. D4×Dic53C2×C4semidirect
97. #13133146C2×C4semidirect
99. #13133142C2×C4semidirect
103. #13133138C2×C4semidirect
412. C53#22999semidirect

Maximal subgroups

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

subgroupindex
C2×#168108362
C2×#168107142
#202777882
#202776202
#202755252
#202754802
#202753952
#202753912
#202750652
#202750492
#202749762
#202749662
C8×#117199192
#102×Dic532
C2×C4×D8×C532
#2299953