Finite Group Databasebeta

← #25063799

Subgroups — #25063799

Order 11008.

1166 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148622C211yesmaximal, characteristic
2#19143629C211yesmaximal, characteristic, complemented
3#19136955C211yesmaximal, characteristic, complemented
4#19133118C211yesmaximal, characteristic, complemented
5#19133109C212yesmaximal, complemented
6#19133103C211yesmaximal, characteristic, complemented
7#19133096C212yesmaximal, complemented
8#19133083C212yesmaximal, complemented
9#19133082C211yesmaximal, characteristic, complemented
10#327×D43C212yesmaximal, complemented
11C43×#1502C211yesmaximal, characteristic, complemented
12#14583615C411yescharacteristic, complemented
13#14583610C411yescharacteristic, complemented
14#14583601—21no—
15#14583599C412yescomplemented
16#14583569C411yescharacteristic, complemented
17#14583544C412yescomplemented
18#14583537—22no—
19#14583534C411yescharacteristic, complemented
20#14583533—21no—
21#14583500—21no—
22#14583483—22no—
23#14583433C2211yescharacteristic
24#14583409C2212yes—
25#121×D43C2212yes—
26#14583371—21no—
27C2×C4×D172C2211yescharacteristic
28C2×#13063287—21no—
29#14582978—21no—
30#14582969—22no—
31C8×D172—21no—
32#14582956C2211yescharacteristic, complemented
33#14582861C2212yescomplemented
34C22⋊C8×D43C2212yescomplemented
35C4⋊C4×Dic43—21no—
36C4×(C2×D43)⋊C4—22no—
37#14582746C2212yescomplemented
38#14582745C2211yescharacteristic, complemented
39#95×D43C2212yescomplemented
40#14582637C2211yescharacteristic, complemented
41#14582637C2211yescharacteristic, complemented
42#14582635C2212yescomplemented
43#14582634C2211yescharacteristic
44#14582634C2211yescharacteristic
45#14582633C2212yescomplemented
46#14582633C2212yescomplemented
47#14582632C2212yes—
48C43×#532C2211yescharacteristic
49C43×#431C2211yescharacteristic, complemented
50C4×C4⋊C4×C43C2211yescharacteristic, complemented
51C43×#327C2212yescomplemented
52C43×#327C2212yescomplemented
53C2×#10621900C2×C412yescomplemented
54C22×D172D411yescharacteristic
55C2×D4×D43—22no—
56C2×D4×D43—21no—
57C2×D4×D43C2×C412yescomplemented
58C22×C4×D43—22no—
59C22×C4×D43C2312yes—
60C2×#10621872—22no—
61C2×C8×D43—22no—
62#13063321—21no—
63#13063319—21no—
64#13063318—22no—
65#13063317C2×C411yescharacteristic, complemented
66#13063316—21no—
67#13063314—22no—
68#13063313C2×C411yescharacteristic, complemented
69#13063309—22no—
70#13063308—21no—
71#13063308—22no—
72#13063307—22no—
73#13063305C2×C412yescomplemented
74#13063304C2311yescharacteristic
75#13063301—22no—
76#13063300—21no—
77#13063300C2×C412yescomplemented
78#13063299—22no—
79#13063299C2311yescharacteristic
80#13063298—22no—
81#13063298—22no—
82#13063297—22no—
83#13063297—22no—
84#13063296—21no—
85#13063296C2×C412yescomplemented
86#13063296C2×C412yescomplemented
87#13063295—22no—
88#13063293—22no—
89#13063293—22no—
90C4×Dic86C2×C411yescharacteristic, complemented
91C4×D172C2×C411yescharacteristic
92C4×D172C2×C412yes—
93C4×D172C2×C411yescharacteristic
94C4×D172C2×C411yescharacteristic, complemented
95C4×D172D411yescharacteristic
96C4×D172D412yes—
97C4×D172D411yescharacteristic
98D4×Dic43—22no—
99D4×Dic43—21no—
100#13063287—28no—
101#13063287—21no—
102C4×C22⋊D43—21no—
103C4×C22⋊D43—22no—
104(C22⋊D43)⋊C4—22no—
105#13063283—21no—
106#13063283C2×C412yescomplemented
107#13063282—21no—
108C2×C4⋊Dic43D411yescharacteristic
109C4⋊C4×D43C2×C412yescomplemented
110C2×(C2×D43)⋊C4—22no—
111C2×(C2×D43)⋊C4—22no—
112C2×(C2×D43)⋊C4D412yes—
113C22⋊C4×D43—22no—
114C2×C4×Dic43—21no—
115C2×C4×Dic43—22no—
116C4⋊(C43⋊C8)—21no—
117C22⋊(C43⋊C8)C2312yes—
118(C2×D43)⋊C8—22no—
119(C2×D43)⋊C8—22no—
120#13063236—21no—
121C43⋊#95—21no—
122C43⋊#95—22no—
123C43⋊#95C2311yescharacteristic
124C43⋊#95C2311yescharacteristic
125C2×#41×C43—21no—
126C4⋊Q8×C43C2×C411yescharacteristic, complemented
127#127×C43C2×C411yescharacteristic, complemented
128#124×C43—21no—
129#121×C43—21no—
130#121×C43C2312yes—
131C4×D4×C43—21no—
132C4×D4×C43C2×C412yescomplemented
133C2×C4⋊C4×C43—21no—
134C2×C42×C43—21no—
135C2×C42×C43C2311yescharacteristic
136C4⋊C8×C43—21no—
137C22⋊C8×C43C2311yescharacteristic
138C22⋊C8×C43C2311yescharacteristic
139C4×C8×C43—21no—
140#95×C43C2312yes—
141C23×D43—22no—
142C23×D43C2×D412yes—
143#41×C43—81no—
144#41×C43—81no—
145C2×Q8×C43—21no—
146C2×D4×C43—21no—
147C2×D4×C43—21no—
148C2×D4×C43—22no—
149C2×D4×C43C22×C412yes—
150C22×C4×C43—22no—
151C22×C4×C43—22no—
152C22×C4×C43C2×D411yescharacteristic
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2411yescharacteristic
155C2×C22⋊D43—22no—
156C2×C22⋊D43—21no—
157C2×C22⋊D43—22no—
158C2×C22⋊D43—22no—
159C2×C22⋊D43—22no—
160C22×Dic43—22no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43C2×D412yes—
164#10621900—82no—
165D4×D43—44no—
166D4×D43—82no—
167D4×D43—82no—
168D4×D43—82no—
169C2×D172—24no—
170C2×D172—22no—
171C2×D172C22⋊C412yes—
172C2×D172C22⋊C411yescharacteristic
173C2×D172C22⋊C411yescharacteristic
174C2×D172C22×C411yescharacteristic
175C2×C4×D43—21no—
176C2×C4×D43—28no—
177C2×C4×D43—22no—
178C2×C4×D43—82no—
179C2×C4×D43—82no—
180C2×C4×D43—82no—
181C2×C4×D43C22×C412yes—
182C2×C4×D43C22×C412yes—
183C2×C4×D43C2×D412yes—
184C2×C4×D43C2×D412yes—
185C2×Dic86C22×C411yescharacteristic
186C2×C8×C43—21no—
187C2×C8×C43—21no—
188C4⋊C4×C43—24no—
189C4⋊C4×C43—21no—
190C4⋊C4×C43C22×C412yes—
191C22⋊C4×C43—22no—
192C22⋊C4×C43—22no—
193C42×C43—81no—
194C42×C43C22×C411yescharacteristic
195C42×C43C22×C411yescharacteristic
196C42×C43C2×D411yescharacteristic
197C42×C43C2×D411yescharacteristic
198C22⋊Dic43—22no—
199C22⋊Dic43—22no—
200C22⋊Dic43—21no—
201(C2×D43)⋊C4—28no—
202(C2×D43)⋊C4—21no—
203(C2×D43)⋊C4—21no—
204(C2×D43)⋊C4—21no—
205(C2×D43)⋊C4—21no—
206(C2×D43)⋊C4—22no—
207(C2×D43)⋊C4—22no—
208(C2×D43)⋊C4—22no—
209(C2×D43)⋊C4C22⋊C412yes—
210(C2×D43)⋊C4C22⋊C412yes—
211(C2×D43)⋊C4C22⋊C412yes—
212(C2×D43)⋊C4C22⋊C412yes—
213C4⋊Dic43—22no—
214C4⋊Dic43C22⋊C411yescharacteristic
215C4⋊Dic43C22⋊C411yescharacteristic
216C4⋊Dic43C22⋊C412yes—
217C4⋊Dic43C22×C411yescharacteristic
218C4⋊Dic43C22×C411yescharacteristic
219Dic43⋊C4—21no—
220Dic43⋊C4—21no—
221Dic43⋊C4—21no—
222Dic43⋊C4—21no—
223Dic43⋊C4—22no—
224C4×Dic43—24no—
225C4×Dic43—21no—
226C4×Dic43—22no—
227C4×Dic43—82no—
228C2×C43⋊C8—22no—
229#10621872—82no—
230C8×D43—82no—
231C23×C43—22no—
232C23×C43C22×D411yescharacteristic
233C22×D43—22no—
234C22×D43—22no—
235C22×D43—24no—
236C22×D43—21no—
237C22×D43—42no—
238C22×D43—44no—
239C22×D43—82no—
240C22×D43—82no—
241C22×D43C2×C22⋊C412yes—
242C22×D43C2×C22⋊C412yes—
243Q8×C43—81no—
244D4×C43—42no—
245D4×C43—42no—
246D4×C43—42no—
247D4×C43—42no—
248D4×C43—81no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—22no—
252C2×C4×C43—24no—
253C2×C4×C43—22no—
254C2×C4×C43—41no—
255C2×C4×C43—42no—
256C2×C4×C43—42no—
257C2×C4×C43—82no—
258C2×C4×C43C2×C22⋊C411yescharacteristic
259C2×C4×C43C2×C22⋊C411yescharacteristic
260C2×C4×C43C2×C22⋊C411yescharacteristic
261C2×C4×C43C2×C22⋊C411yescharacteristic
262C2×C4×C43C23×C411yescharacteristic
263C2×C4×C43C22×D411yescharacteristic
264C22⋊D43—41no—
265C22⋊D43—41no—
266C22⋊D43—44no—
267C22⋊D43—82no—
268C22⋊D43—82no—
269C22⋊D43—82no—
270C2×Dic43—22no—
271C2×Dic43—22no—
272C2×Dic43—21no—
273C2×Dic43—21no—
274C2×Dic43—21no—
275C2×Dic43—42no—
276C2×Dic43—41no—
277C2×Dic43—41no—
278C2×Dic43—41no—
279C2×Dic43—41no—
280C2×Dic43—82no—
281C2×Dic43C2×C22⋊C412yes—
282C2×Dic43C2×C22⋊C412yes—
283D172—24no—
284D172—22no—
285D172—41no—
286D172—82no—
287D172#10414yes—
288C4×D43—42no—
289C4×D43—42no—
290C4×D43—42no—
291C4×D43—42no—
292C4×D43—42no—
293C4×D43—82no—
294C4×D43—88no—
295Dic86—41no—
296C8×C43—41no—
297C8×C43—41no—
298C43⋊C8—42no—
299#17547—431nomaximal, Sylow
300C22×C43—21no—
301C22×C43—21no—
302C22×C43—42no—
303C22×C43—42no—
304C22×C43—42no—
305C22×C43C22×C22⋊C411yescharacteristic
306C22×C43#57611yescharacteristic
307C22×C43#57711yescharacteristic
308C2×D43—22no—
309C2×D43—22no—
310C2×D43—22no—
311C2×D43—22no—
312C2×D43—22no—
313C2×D43—44no—
314C2×D43—44no—
315C2×D43—41no—
316C2×D43—41no—
317C2×D43—41no—
318C2×D43—164no—
319C2×D43C2×#10414yes—
320C4×C43—21no—
321C4×C43—21no—
322C4×C43—21no—
323C4×C43—21no—
324C4×C43—21no—
325C4×C43—44no—
326C4×C43—42no—
327C4×C43C2×#10412yes—
328Dic43—22no—
329Dic43—22no—
330Dic43—42no—
331Dic43—42no—
332Dic43—41no—
333Dic43—41no—
334Dic43—41no—
335#3519—431no—
336#2974—431no—
337#2275—431no—
338#1509—431no—
339#1507—432no—
340#1505—431no—
341#1504—432no—
342#1502D4311yescharacteristic, complemented
343#1501—432no—
344#1500—431no—
345C2×#327—432no—
346C2×C43—21no—
347C2×C43—21no—
348C2×C43—82no—
349C2×C43#288311yescharacteristic
350C2×C43#289711yescharacteristic
351C2×C43C22×#10411yescharacteristic
352D43—24no—
353D43—42no—
354D43—81no—
355#555—431no—
356#554—431no—
357#553—432no—
358#553—861no—
359#550—431no—
360#546—432no—
361#546—862no—
362D42—431no—
363D42—861no—
364#540—861no—
365#538—862no—
366#532C2×D4311yescharacteristic
367#529—431no—
368#525—432no—
369C2×#121—432no—
370#518—861no—
371C2×C4×D4—431no—
372C2×C4×D4—861no—
373#436—861no—
374#435—862no—
375C8×D4—861no—
376#432—431no—
377#431C2×D4311yescharacteristic, complemented
378#407—432no—
379C2×C22⋊C8—432no—
380C4×C4⋊C4—861no—
381C4×C4⋊C4C2×D4311yescharacteristic, complemented
382C4×C22⋊C4—432no—
383C4×C22⋊C4—862no—
384#376—431no—
385C2×#95—432no—
386#328—431no—
387#328—431no—
388#328—432no—
389#327—432no—
390#327—432no—
391#327—431no—
392#327—431no—
393#327—432no—
394#327C2×D4312yescomplemented
395#327C2×D4312yescomplemented
396C43#1754711yescharacteristic, complemented, Sylow
397C2×#41—21no—
398C2×#41—432no—
399C22×D4—432no—
400C22×D4—431no—
401C22×D4—861no—
402C22×D4—862no—
403C23×C4—432no—
404C23×C4—862no—
405C2×M16—862no—
406C22×C8—862no—
407C4⋊Q8C4×D4311yescharacteristic, complemented
408#127—861no—
409#127C4×D4311yescharacteristic, complemented
410#126—862no—
411#126—861no—
412#125—431no—
413#125—861no—
414#124—21no—
415#124—431no—
416#124—862no—
417#123—862no—
418#123—862no—
419#123—862no—
420#123—861no—
421C22⋊Q8—431no—
422C22⋊Q8—432no—
423C22⋊Q8—862no—
424#121—21no—
425#121—432no—
426#121—432no—
427#121—431no—
428#121—432no—
429#121—862no—
430#121—862no—
431#121—862no—
432#121—862no—
433#121—861no—
434#121—861no—
435#121—862no—
436#121C22×D4312yes—
437#120—862no—
438#120—862no—
439#120—862no—
440C4×Q8—431no—
441C4×D4—21no—
442C4×D4—431no—
443C4×D4—432no—
444C4×D4—431no—
445C4×D4—431no—
446C4×D4—431no—
447C4×D4—432no—
448C4×D4—431no—
449C4×D4—862no—
450C4×D4—862no—
451C4×D4—861no—
452C4×D4—868no—
453C4×D4—861no—
454C4×D4—862no—
455C4×D4—861no—
456C4×D4C4×D4312yescomplemented
457#117—432no—
458#117—861no—
459#117—861no—
460C2×C4⋊C4—21no—
461C2×C4⋊C4—431no—
462C2×C4⋊C4—432no—
463C2×C22⋊C4—432no—
464C2×C22⋊C4—862no—
465C2×C22⋊C4—862no—
466C2×C22⋊C4—862no—
467C2×C42—21no—
468C2×C42—861no—
469C2×C42—862no—
470C2×C42C22×D4311yescharacteristic
471C4⋊C8—21no—
472C4⋊C8—861no—
473C22⋊C8—432no—
474C22⋊C8—862no—
475C22⋊C8—862no—
476C22⋊C8C22×D4311yescharacteristic
477C22⋊C8C22×D4311yescharacteristic
478#97—861no—
479C4×C8—21no—
480#95—431no—
481#95—431no—
482#95—862no—
483#95—861no—
484#95C22×D4312yes—
485C24—432no—
486C24—862no—
487#41—81no—
488#41—81no—
489#41—3442no—
490C2×Q8—21no—
491C2×Q8—431no—
492C2×D4—22no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—431no—
496C2×D4—432no—
497C2×D4—431no—
498C2×D4—431no—
499C2×D4—864no—
500C2×D4—862no—
501C2×D4—862no—
502C2×D4—862no—
503C2×D4—862no—
504C2×D4—862no—
505C2×D4—861no—
506C2×D4—3442no—
507C2×D4—3442no—
508C2×D4—3442no—
509C2×D4—1724no—
510C2×D4C2×C4×D4312yes—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—432no—
514C22×C4—432no—
515C22×C4—432no—
516C22×C4—432no—
517C22×C4—432no—
518C22×C4—862no—
519C22×C4—868no—
520C22×C4—862no—
521C22×C4—861no—
522C22×C4—861no—
523C22×C4—861no—
524C22×C4—3442no—
525C22×C4—3442no—
526C22×C4—3442no—
527C22×C4D4×D4311yescharacteristic
528C22×C4D4×D4311yescharacteristic
529C22×C4C23×D4311yescharacteristic
530M16—3442no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—862no—
534C2×C8—3442no—
535C4⋊C4—24no—
536C4⋊C4—21no—
537C4⋊C4—431no—
538C4⋊C4—431no—
539C4⋊C4—432no—
540C4⋊C4—431no—
541C4⋊C4—431no—
542C4⋊C4—862no—
543C4⋊C4—862no—
544C4⋊C4—861no—
545C4⋊C4—861no—
546C4⋊C4—861no—
547C4⋊C4—861no—
548C4⋊C4C2×C4×D4312yes—
549C22⋊C4—22no—
550C22⋊C4—22no—
551C22⋊C4—432no—
552C22⋊C4—432no—
553C22⋊C4—432no—
554C22⋊C4—432no—
555C22⋊C4—862no—
556C22⋊C4—862no—
557C22⋊C4—862no—
558C22⋊C4—868no—
559C22⋊C4—862no—
560C22⋊C4—862no—
561C22⋊C4—861no—
562C22⋊C4—861no—
563C22⋊C4—861no—
564C22⋊C4—861no—
565C22⋊C4—861no—
566C42—81no—
567C42—862no—
568C42—864no—
569C42—861no—
570C42—3442no—
571C42C2×C4×D4311yescharacteristic
572C42C2×C4×D4311yescharacteristic
573C42D4×D4311yescharacteristic
574C42D4×D4311yescharacteristic
575C23—22no—
576C23—432no—
577C23—432no—
578C23—864no—
579C23—862no—
580C23—862no—
581C23—861no—
582C23—3442no—
583C23—3442no—
584C23—1722no—
585C23—1724no—
586C23C2×D4×D4311yescharacteristic
587Q8—81no—
588Q8—1721no—
589D4—42no—
590D4—42no—
591D4—42no—
592D4—42no—
593D4—81no—
594D4—434no—
595D4—864no—
596D4—862no—
597D4—3442no—
598D4—3442no—
599D4—3442no—
600D4—3442no—
601D4—1721no—
602D4—1724no—
603D4—1721no—
604D4—1721no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—24no—
609C2×C4—22no—
610C2×C4—41no—
611C2×C4—42no—
612C2×C4—42no—
613C2×C4—82no—
614C2×C4—432no—
615C2×C4—432no—
616C2×C4—862no—
617C2×C4—862no—
618C2×C4—861no—
619C2×C4—861no—
620C2×C4—861no—
621C2×C4—3442no—
622C2×C4—3448no—
623C2×C4—3442no—
624C2×C4—1722no—
625C2×C4—1722no—
626C2×C4—1722no—
627C2×C4—1722no—
628C2×C4—1722no—
629C2×C4—1721no—
630C2×C4—1721no—
631C2×C4—1721no—
632C2×C4—1721no—
633C2×C4—1722no—
634C2×C4C22⋊C4×D4311yescharacteristic
635C2×C4C22⋊C4×D4311yescharacteristic
636C2×C4C22⋊C4×D4311yescharacteristic
637C2×C4C22⋊C4×D4311yescharacteristic
638C2×C4C22×C4×D4311yescharacteristic
639C2×C4C2×D4×D4311yescharacteristic
640C8—41no—
641C8—41no—
642C8—1722no—
643C22—21no—
644C22—21no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22—434no—
649C22—862no—
650C22—862no—
651C22—862no—
652C22—862no—
653C22—862no—
654C22—1724no—
655C22—1724no—
656C22—1721no—
657C22—1721no—
658C22—1721no—
659C22—6884no—
660C22C2×C22⋊C4×D4311yescharacteristic
661C22#1458370011yescharacteristic
662C22#1458370511yescharacteristic
663C4—21no—
664C4—21no—
665C4—21no—
666C4—21no—
667C4—21no—
668C4—44no—
669C4—42no—
670C4—862no—
671C4—862no—
672C4—1722no—
673C4—1722no—
674C4—1721no—
675C4—1721no—
676C4—1721no—
677C4#104×D4312yes—
678C2—21no—
679C2—21no—
680C2—82no—
681C2—864no—
682C2—3441no—
683C2—1722no—
684C2#1914305411yescharacteristic
685C2#1914311611yescharacteristic
686C2C2×#104×D4311yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1502C2
socleC22×C43C22×C22⋊C4
prime radical#19148622C2
cosocleC22×C4×C43C24
hypercenter#1502D43
hypocenterC43#17547
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1502

Complements

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

NH ≅ G/Ntype
2. #19143629C2semidirect
3. #19136955C2semidirect
4. #19133118C2semidirect
5. #19133109C2semidirect
6. #19133103C2semidirect
7. #19133096C2semidirect
8. #19133083C2semidirect
9. #19133082C2semidirect
10. #327×D43C2semidirect
11. C43×#1502C2semidirect
12. #14583615C4semidirect
13. #14583610C4semidirect
15. #14583599C4semidirect
16. #14583569C4semidirect
17. #14583544C4semidirect
19. #14583534C4semidirect
32. #14582956C22semidirect
33. #14582861C22semidirect
34. C22⋊C8×D43C22semidirect
37. #14582746C22semidirect
38. #14582745C22semidirect
39. #95×D43C22semidirect
40. #14582637C22semidirect
41. #14582637C22semidirect
42. #14582635C22semidirect
45. #14582633C22semidirect
46. #14582633C22semidirect
49. C43×#431C22semidirect
50. C4×C4⋊C4×C43C22semidirect
51. C43×#327C22semidirect
52. C43×#327C22semidirect
53. C2×#10621900C2×C4semidirect
57. C2×D4×D43C2×C4semidirect
65. #13063317C2×C4semidirect
68. #13063313C2×C4semidirect
73. #13063305C2×C4semidirect
77. #13063300C2×C4semidirect
85. #13063296C2×C4semidirect
86. #13063296C2×C4semidirect
90. C4×Dic86C2×C4semidirect
94. C4×D172C2×C4semidirect
106. #13063283C2×C4semidirect
109. C4⋊C4×D43C2×C4semidirect
126. C4⋊Q8×C43C2×C4semidirect
127. #127×C43C2×C4semidirect
132. C4×D4×C43C2×C4semidirect
342. #1502D43semidirect
377. #431C2×D43semidirect
381. C4×C4⋊C4C2×D43semidirect
394. #327C2×D43semidirect
395. #327C2×D43semidirect
396. C43#17547semidirect
407. C4⋊Q8C4×D43semidirect
409. #127C4×D43semidirect
456. C4×D4C4×D43semidirect

Maximal subgroups

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

subgroupindex
#191486222
#191436292
#191369552
#191331182
#191331092
#191331032
#191330962
#191330832
#191330822
#327×D432
C43×#15022
#1754743