Finite Group Databasebeta

← #26183919

Subgroups — #26183919

Order 12032.

990 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20252046C211yesmaximal, characteristic, complemented
2#20246281C211yesmaximal, characteristic, complemented
3#20241965C212yesmaximal, complemented
4#20241956C211yesmaximal, characteristic, complemented
5#20241935C212yesmaximal, complemented
6#20241931C211yesmaximal, characteristic, complemented
7#20241913C212yesmaximal, complemented
8#20241904C211yesmaximal, characteristic, complemented
9#20241883C212yesmaximal, complemented
10#20241879C211yesmaximal, characteristic, complemented
11C47×#3494C211yesmaximal, characteristic
12#15689184—22no—
13#15689180C2212yescomplemented
14#15689176C2212yescomplemented
15#15689150—21no—
16#15689087C2211yescharacteristic
17C2×C22⋊(C47⋊C8)C2211yescharacteristic
18#15689079—21no—
19#15689022—21no—
20#15689016—22no—
21#15688991C2212yescomplemented
22#15688983C2211yescharacteristic
23C4⋊C4×Dic47—21no—
24C4×C4⋊Dic47C2212yescomplemented
25C4×C22⋊Dic47C2211yescharacteristic
26#15688860C2212yescomplemented
27#15688860C2211yescharacteristic, complemented
28#15688860C2211yescharacteristic, complemented
29#15688857C2212yes—
30#15688857C2212yes—
31#15688857C2212yes—
32#15688857C2212yes—
33#15688857C2212yescomplemented
34#15688857C2211yescharacteristic, complemented
35#15688857C2211yescharacteristic, complemented
36C47×#555—21no—
37C47×#553—21no—
38C47×#553—21no—
39C47×#551—22no—
40C47×#547—21no—
41C47×#546—22no—
42C47×#544C411yescharacteristic, complemented
43C47×#542C412yescomplemented
44C47×#540C412yescomplemented
45C47×#535C411yescharacteristic, complemented
46C47×#532C2212yes—
47C47×#529C2212yes—
48C47×#525C2211yescharacteristic
49C2×#121×C47C2211yescharacteristic
50C47×#520C411yescharacteristic, complemented
51C47×#518C411yescharacteristic, complemented
52C2×#117×C47C2211yescharacteristic
53C2×#10625329—21no—
54C22×C47⋊C8—21no—
55C2×C4⋊Dic47—22no—
56C2×C4⋊Dic47—21no—
57C2×C22⋊Dic47—21no—
58C2×C22⋊Dic47—21no—
59C2×C4×Dic47—21no—
60C2×C4×Dic47—22no—
61C4⋊(C47⋊C8)—22no—
62C4⋊(C47⋊C8)—22no—
63C22⋊(C47⋊C8)—21no—
64C22⋊(C47⋊C8)—21no—
65C22⋊(C47⋊C8)C2311yescharacteristic
66C22⋊(C47⋊C8)C2311yescharacteristic
67C22⋊(C47⋊C8)C2312yes—
68#13093935—22no—
69C4×C47⋊C8—22no—
70C47⋊#95—22no—
71C47⋊#95—22no—
72C47⋊#95C2311yescharacteristic
73C47⋊#95C2311yescharacteristic
74C47⋊#95C2312yes—
75C2×#41×C47—22no—
76C2×#41×C47C2×C411yescharacteristic
77C22×D4×C47—21no—
78C22×D4×C47C2×C411yescharacteristic
79C23×C4×C47C2311yescharacteristic
80C4⋊Q8×C47—21no—
81C4⋊Q8×C47C2×C412yes—
82#127×C47C2×C412yes—
83#126×C47—22no—
84#126×C47—22no—
85#125×C47—21no—
86#125×C47C2×C412yes—
87#124×C47—22no—
88#124×C47—22no—
89#124×C47C2×C412yes—
90#123×C47—21no—
91#123×C47—22no—
92#123×C47—22no—
93#123×C47—22no—
94#123×C47—22no—
95C22⋊Q8×C47—22no—
96C22⋊Q8×C47—22no—
97C22⋊Q8×C47C2×C411yescharacteristic
98C22⋊Q8×C47C2311yescharacteristic
99#121×C47—21no—
100#121×C47—21no—
101#121×C47—22no—
102#121×C47—21no—
103#121×C47—21no—
104#121×C47—22no—
105#121×C47—22no—
106#121×C47C2×C412yes—
107#121×C47C2×C411yescharacteristic
108#121×C47C2312yes—
109#121×C47C2311yescharacteristic
110#120×C47—21no—
111#120×C47—22no—
112C4×Q8×C47C2×C412yes—
113C4×D4×C47—21no—
114C4×D4×C47—21no—
115C4×D4×C47—22no—
116C4×D4×C47—21no—
117C4×D4×C47—21no—
118C4×D4×C47—22no—
119C4×D4×C47—22no—
120C4×D4×C47C2×C412yes—
121C4×D4×C47C2×C412yes—
122C4×D4×C47C2×C412yes—
123#117×C47—21no—
124#117×C47—22no—
125#117×C47C2×C411yescharacteristic
126#117×C47C2×C411yescharacteristic
127#117×C47C2×C411yescharacteristic
128#117×C47C2×C412yes—
129#117×C47D412yes—
130#117×C47D411yescharacteristic
131#117×C47D411yescharacteristic
132C2×C4⋊C4×C47—21no—
133C2×C4⋊C4×C47C2×C411yescharacteristic
134C2×C4⋊C4×C47D411yescharacteristic
135C2×C4⋊C4×C47D411yescharacteristic
136C2×C22⋊C4×C47—21no—
137C2×C22⋊C4×C47—22no—
138C2×C22⋊C4×C47D412yes—
139C2×C42×C47C2312yes—
140C24×C47—21no—
141C24×C47C2×D411yescharacteristic
142#41×C47—42no—
143#41×C47—82no—
144#41×C47—82no—
145C2×Q8×C47—22no—
146C2×Q8×C47C22×C411yescharacteristic
147C2×D4×C47—21no—
148C2×D4×C47—21no—
149C2×D4×C47—22no—
150C2×D4×C47—21no—
151C2×D4×C47—22no—
152C2×D4×C47—21no—
153C2×D4×C47—22no—
154C2×D4×C47—22no—
155C2×D4×C47—42no—
156C2×D4×C47—81no—
157C2×D4×C47—81no—
158C2×D4×C47C22×C412yes—
159C2×D4×C47C22×C411yescharacteristic
160C22×C4×C47—21no—
161C22×C4×C47—21no—
162C22×C4×C47—22no—
163C22×C4×C47—22no—
164C22×C4×C47—22no—
165C22×C4×C47—42no—
166C22×C4×C47C22×C411yescharacteristic
167C22×C4×C47C22×C411yescharacteristic
168C22×C4×C47C2×D412yes—
169C22×C4×C47C2×D411yescharacteristic
170C22×C4×C47C2×D411yescharacteristic
171C22×C4×C47C2×D412yes—
172C22×C4×C47C2×D411yescharacteristic
173C22×C4×C47C2411yescharacteristic
174C22×Dic47—21no—
175C22×Dic47—21no—
176C22×Dic47—22no—
177C4⋊C4×C47—21no—
178C4⋊C4×C47—22no—
179C4⋊C4×C47—22no—
180C4⋊C4×C47—22no—
181C4⋊C4×C47—22no—
182C4⋊C4×C47—21no—
183C4⋊C4×C47—21no—
184C4⋊C4×C47C22⋊C411yescharacteristic
185C4⋊C4×C47C22⋊C411yescharacteristic
186C4⋊C4×C47C22⋊C411yescharacteristic
187C4⋊C4×C47C22⋊C411yescharacteristic
188C4⋊C4×C47C22⋊C412yes—
189C4⋊C4×C47C22⋊C412yes—
190C4⋊C4×C47C22×C412yes—
191C4⋊C4×C47C22×C411yescharacteristic
192C4⋊C4×C47C22×C411yescharacteristic
193C22⋊C4×C47—21no—
194C22⋊C4×C47—21no—
195C22⋊C4×C47—21no—
196C22⋊C4×C47—22no—
197C22⋊C4×C47—22no—
198C22⋊C4×C47—22no—
199C22⋊C4×C47—22no—
200C22⋊C4×C47—22no—
201C22⋊C4×C47—22no—
202C22⋊C4×C47—21no—
203C22⋊C4×C47—22no—
204C22⋊C4×C47—21no—
205C22⋊C4×C47C22⋊C412yes—
206C22⋊C4×C47C22⋊C412yes—
207C22⋊C4×C47C22⋊C412yes—
208C22⋊C4×C47C22⋊C412yes—
209C42×C47—22no—
210C42×C47—21no—
211C42×C47C22×C412yes—
212C42×C47C22×C412yes—
213C42×C47C2×D412yes—
214C42×C47C2×D412yes—
215C22⋊Dic47—42no—
216C22⋊Dic47—81no—
217C4⋊Dic47—44no—
218C4⋊Dic47—42no—
219C4×Dic47—42no—
220C4×Dic47—82no—
221#10625329—42no—
222C2×C47⋊C8—21no—
223C2×C47⋊C8—22no—
224C2×C47⋊C8—21no—
225C2×C47⋊C8—42no—
226C23×C47—21no—
227C23×C47—21no—
228C23×C47—22no—
229C23×C47—21no—
230C23×C47—41no—
231C23×C47—41no—
232C23×C47—42no—
233C23×C47—81no—
234C23×C47—81no—
235C23×C47C2×C22⋊C411yescharacteristic
236C23×C47C2×C22⋊C411yescharacteristic
237C23×C47C22×D411yescharacteristic
238Q8×C47—41no—
239Q8×C47—82no—
240D4×C47—42no—
241D4×C47—41no—
242D4×C47—42no—
243D4×C47—42no—
244D4×C47—41no—
245D4×C47—42no—
246D4×C47—41no—
247D4×C47—42no—
248D4×C47—82no—
249D4×C47—82no—
250D4×C47—81no—
251D4×C47—82no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—21no—
258C2×C4×C47—21no—
259C2×C4×C47—21no—
260C2×C4×C47—22no—
261C2×C4×C47—42no—
262C2×C4×C47—41no—
263C2×C4×C47—41no—
264C2×C4×C47—41no—
265C2×C4×C47—42no—
266C2×C4×C47—82no—
267C2×C4×C47—82no—
268C2×C4×C47—82no—
269C2×C4×C47—81no—
270C2×C4×C47C2×C22⋊C412yes—
271C2×C4×C47C2×C22⋊C412yes—
272C2×C4×C47C2×C22⋊C412yes—
273C2×C4×C47C2×C22⋊C412yes—
274C2×C4×C47C2×C22⋊C411yescharacteristic
275C2×C4×C47C2×C22⋊C411yescharacteristic
276C2×C4×C47C23×C411yescharacteristic
277C2×C4×C47C22×D411yescharacteristic
278C2×Dic47—22no—
279C2×Dic47—41no—
280C2×Dic47—41no—
281C2×Dic47—41no—
282C2×Dic47—42no—
283C2×Dic47—42no—
284C2×Dic47—41no—
285C2×Dic47—42no—
286C2×Dic47—41no—
287C47⋊C8—41no—
288C47⋊C8—41no—
289C47⋊C8—42no—
290#17607—471nomaximal, Sylow
291C22×C47—21no—
292C22×C47—21no—
293C22×C47—21no—
294C22×C47—21no—
295C22×C47—21no—
296C22×C47—21no—
297C22×C47—21no—
298C22×C47—21no—
299C22×C47—41no—
300C22×C47—42no—
301C22×C47—41no—
302C22×C47—42no—
303C22×C47—42no—
304C22×C47—41no—
305C22×C47—81no—
306C22×C47—81no—
307C22×C47—162no—
308C22×C47C22×C22⋊C411yescharacteristic
309C22×C47#57611yescharacteristic
310C22×C47#57711yescharacteristic
311C4×C47—21no—
312C4×C47—21no—
313C4×C47—21no—
314C4×C47—22no—
315C4×C47—22no—
316C4×C47—22no—
317C4×C47—22no—
318C4×C47—41no—
319C4×C47—42no—
320C4×C47—41no—
321C4×C47—41no—
322C4×C47#41012yes—
323Dic47—42no—
324Dic47—82no—
325Dic47—81no—
326#3494D4711yescharacteristic
327#2924—471no—
328#2347—471no—
329#1521—472no—
330#1519—471no—
331#1514—472no—
332#1513—471no—
333#1509—472no—
334#1507—471no—
335#1502—472no—
336#1501—471no—
337C2×C47—21no—
338C2×C47—21no—
339C2×C47—41no—
340C2×C47—41no—
341C2×C47—81no—
342C2×C47—82no—
343C2×C47C2×#41011yescharacteristic
344C2×C47#289711yescharacteristic
345C2×C47#290111yescharacteristic
346#555—21no—
347#553—21no—
348#553—21no—
349#551—22no—
350#547—21no—
351#546—22no—
352#544Dic4711yescharacteristic, complemented
353#542Dic4712yescomplemented
354#540Dic4712yescomplemented
355#535Dic4711yescharacteristic, complemented
356#532C2×D4712yes—
357#529C2×D4712yes—
358#525C2×D4711yescharacteristic
359C2×#121C2×D4711yescharacteristic
360#520Dic4711yescharacteristic, complemented
361#518Dic4711yescharacteristic, complemented
362C2×#117C2×D4711yescharacteristic
363#433—942no—
364#432—472no—
365#431—472no—
366#424—941no—
367#407—471no—
368C2×C22⋊C8—471no—
369#405—941no—
370#389—941no—
371#388—942no—
372#383—472no—
373#380—471no—
374C4×C4⋊C4—472no—
375C4×C4⋊C4—941no—
376C4×C22⋊C4—471no—
377#328—471no—
378#328—471no—
379#328—472no—
380#327—472no—
381#327—472no—
382#327—472no—
383#327—472no—
384#327—471no—
385#327—471no—
386#327—472no—
387C47#1760711yescharacteristic, complemented, Sylow
388C2×#41—22no—
389C2×#41C2×Dic4711yescharacteristic
390C22×D4—21no—
391C22×D4C2×Dic4711yescharacteristic
392C23×C4C22×D4711yescharacteristic
393C2×M16—941no—
394C22×C8—941no—
395C4⋊Q8—21no—
396C4⋊Q8C2×Dic4712yes—
397#127C2×Dic4712yes—
398#126—22no—
399#126—22no—
400#125—21no—
401#125C2×Dic4712yes—
402#124—22no—
403#124—22no—
404#124C2×Dic4712yes—
405#123—21no—
406#123—22no—
407#123—22no—
408#123—22no—
409#123—22no—
410C22⋊Q8—22no—
411C22⋊Q8—22no—
412C22⋊Q8C2×Dic4711yescharacteristic
413C22⋊Q8C22×D4711yescharacteristic
414#121—21no—
415#121—21no—
416#121—22no—
417#121—21no—
418#121—21no—
419#121—22no—
420#121—22no—
421#121C2×Dic4712yes—
422#121C2×Dic4711yescharacteristic
423#121C22×D4712yes—
424#121C22×D4711yescharacteristic
425#120—21no—
426#120—22no—
427C4×Q8C2×Dic4712yes—
428C4×D4—21no—
429C4×D4—21no—
430C4×D4—22no—
431C4×D4—21no—
432C4×D4—21no—
433C4×D4—22no—
434C4×D4—22no—
435C4×D4C2×Dic4712yes—
436C4×D4C2×Dic4712yes—
437C4×D4C2×Dic4712yes—
438#117—21no—
439#117—22no—
440#117C2×Dic4711yescharacteristic
441#117C2×Dic4711yescharacteristic
442#117C2×Dic4711yescharacteristic
443#117C2×Dic4712yes—
444#117C22⋊D4712yes—
445#117C22⋊D4711yescharacteristic
446#117C22⋊D4711yescharacteristic
447C2×C4⋊C4—21no—
448C2×C4⋊C4—942no—
449C2×C4⋊C4—941no—
450C2×C4⋊C4C2×Dic4711yescharacteristic
451C2×C4⋊C4C22⋊D4711yescharacteristic
452C2×C4⋊C4C22⋊D4711yescharacteristic
453C2×C22⋊C4—21no—
454C2×C22⋊C4—22no—
455C2×C22⋊C4—941no—
456C2×C22⋊C4—941no—
457C2×C22⋊C4C22⋊D4712yes—
458C2×C42—942no—
459C2×C42—941no—
460C2×C42C22×D4712yes—
461C4⋊C8—942no—
462C4⋊C8—942no—
463C22⋊C8—471no—
464C22⋊C8—471no—
465C22⋊C8—472no—
466C22⋊C8—941no—
467C22⋊C8—941no—
468#97—942no—
469C4×C8—942no—
470#95—471no—
471#95—471no—
472#95—472no—
473#95—942no—
474#95—942no—
475C24—21no—
476C24C2×C22⋊D4711yescharacteristic
477#41—42no—
478#41—82no—
479#41—82no—
480C2×Q8—22no—
481C2×Q8C22×Dic4711yescharacteristic
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—22no—
485C2×D4—21no—
486C2×D4—22no—
487C2×D4—21no—
488C2×D4—22no—
489C2×D4—22no—
490C2×D4—42no—
491C2×D4—81no—
492C2×D4—81no—
493C2×D4C22×Dic4712yes—
494C2×D4C22×Dic4711yescharacteristic
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—42no—
501C22×C4—941no—
502C22×C4—941no—
503C22×C4—942no—
504C22×C4C22×Dic4711yescharacteristic
505C22×C4C22×Dic4711yescharacteristic
506C22×C4C2×C22⋊D4712yes—
507C22×C4C2×C22⋊D4711yescharacteristic
508C22×C4C2×C22⋊D4711yescharacteristic
509C22×C4C2×C22⋊D4712yes—
510C22×C4C2×C22⋊D4711yescharacteristic
511C22×C4C23×D4711yescharacteristic
512M16—1882no—
513C2×C8—941no—
514C2×C8—942no—
515C2×C8—941no—
516C2×C8—1882no—
517C4⋊C4—21no—
518C4⋊C4—22no—
519C4⋊C4—22no—
520C4⋊C4—22no—
521C4⋊C4—22no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—1882no—
525C4⋊C4—1884no—
526C4⋊C4C22⋊Dic4711yescharacteristic
527C4⋊C4C22⋊Dic4711yescharacteristic
528C4⋊C4C22⋊Dic4711yescharacteristic
529C4⋊C4C22⋊Dic4711yescharacteristic
530C4⋊C4C22⋊Dic4712yes—
531C4⋊C4C22⋊Dic4712yes—
532C4⋊C4C22×Dic4712yes—
533C4⋊C4C22×Dic4711yescharacteristic
534C4⋊C4C22×Dic4711yescharacteristic
535C22⋊C4—21no—
536C22⋊C4—21no—
537C22⋊C4—21no—
538C22⋊C4—22no—
539C22⋊C4—22no—
540C22⋊C4—22no—
541C22⋊C4—22no—
542C22⋊C4—22no—
543C22⋊C4—22no—
544C22⋊C4—21no—
545C22⋊C4—22no—
546C22⋊C4—21no—
547C22⋊C4—3761no—
548C22⋊C4—1882no—
549C22⋊C4C22⋊Dic4712yes—
550C22⋊C4C22⋊Dic4712yes—
551C22⋊C4C22⋊Dic4712yes—
552C22⋊C4C22⋊Dic4712yes—
553C42—22no—
554C42—21no—
555C42—3762no—
556C42—1882no—
557C42C22×Dic4712yes—
558C42C22×Dic4712yes—
559C42C2×C22⋊D4712yes—
560C42C2×C22⋊D4712yes—
561C23—21no—
562C23—21no—
563C23—22no—
564C23—21no—
565C23—41no—
566C23—41no—
567C23—42no—
568C23—81no—
569C23—81no—
570C23C2×C22⋊Dic4711yescharacteristic
571C23C2×C22⋊Dic4711yescharacteristic
572C23C22×C22⋊D4711yescharacteristic
573Q8—41no—
574Q8—82no—
575D4—42no—
576D4—41no—
577D4—42no—
578D4—42no—
579D4—41no—
580D4—42no—
581D4—41no—
582D4—42no—
583D4—82no—
584D4—82no—
585D4—81no—
586D4—82no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—22no—
596C2×C4—42no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—42no—
601C2×C4—82no—
602C2×C4—82no—
603C2×C4—82no—
604C2×C4—81no—
605C2×C4—942no—
606C2×C4—1881no—
607C2×C4—1881no—
608C2×C4—1882no—
609C2×C4—1882no—
610C2×C4—1882no—
611C2×C4—1881no—
612C2×C4—1881no—
613C2×C4—1881no—
614C2×C4C2×C22⋊Dic4712yes—
615C2×C4C2×C22⋊Dic4712yes—
616C2×C4C2×C22⋊Dic4712yes—
617C2×C4C2×C22⋊Dic4712yes—
618C2×C4C2×C22⋊Dic4711yescharacteristic
619C2×C4C2×C22⋊Dic4711yescharacteristic
620C2×C4C23×Dic4711yescharacteristic
621C2×C4C22×C22⋊D4711yescharacteristic
622C8—1881no—
623C8—1881no—
624C8—1882no—
625C22—21no—
626C22—21no—
627C22—21no—
628C22—21no—
629C22—21no—
630C22—21no—
631C22—21no—
632C22—21no—
633C22—41no—
634C22—42no—
635C22—42no—
636C22—41no—
637C22—41no—
638C22—42no—
639C22—81no—
640C22—81no—
641C22—162no—
642C22C22×C22⋊Dic4711yescharacteristic
643C22#1568992611yescharacteristic
644C22#1568993411yescharacteristic
645C4—22no—
646C4—22no—
647C4—22no—
648C4—22no—
649C4—21no—
650C4—21no—
651C4—21no—
652C4—42no—
653C4—41no—
654C4—41no—
655C4—41no—
656C4—3762no—
657C4—3761no—
658C4—1882no—
659C4#1568909712yes—
660C2—21no—
661C2—21no—
662C2—41no—
663C2—41no—
664C2—82no—
665C2—81no—
666C2C2×#1568909711yescharacteristic
667C2#2025191411yescharacteristic
668C2#2025193511yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
Fitting, prime radicalC47×#3494C2
socleC22×C47C22×C22⋊C4
cosocleC22×C4×C47C24
hypercenter#3494D47
hypocenterC47#17607
LCSG ▷ C2×C4×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#117 ◁ #3494

Complements

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

NH ≅ G/Ntype
1. #20252046C2semidirect
2. #20246281C2semidirect
3. #20241965C2semidirect
4. #20241956C2semidirect
5. #20241935C2semidirect
6. #20241931C2semidirect
7. #20241913C2semidirect
8. #20241904C2semidirect
9. #20241883C2semidirect
10. #20241879C2semidirect
13. #15689180C22semidirect
14. #15689176C22semidirect
21. #15688991C22semidirect
24. C4×C4⋊Dic47C22semidirect
26. #15688860C22semidirect
27. #15688860C22semidirect
28. #15688860C22semidirect
33. #15688857C22semidirect
34. #15688857C22semidirect
35. #15688857C22semidirect
42. C47×#544C4semidirect
43. C47×#542C4semidirect
44. C47×#540C4semidirect
45. C47×#535C4semidirect
50. C47×#520C4semidirect
51. C47×#518C4semidirect
352. #544Dic47semidirect
353. #542Dic47semidirect
354. #540Dic47semidirect
355. #535Dic47semidirect
360. #520Dic47semidirect
361. #518Dic47semidirect
387. C47#17607semidirect

Maximal subgroups

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

subgroupindex
#202520462
#202462812
#202419652
#202419562
#202419352
#202419312
#202419132
#202419042
#202418832
#202418792
C47×#34942
#1760747