Finite Group Databasebeta

← #25064238

Subgroups — #25064238

Order 11008.

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#19143253C211yesmaximal, characteristic, complemented
2#19137488C211yesmaximal, characteristic, complemented
3#19133172C212yesmaximal, complemented
4#19133163C211yesmaximal, characteristic, complemented
5#19133142C212yesmaximal, complemented
6#19133138C211yesmaximal, characteristic, complemented
7#19133120C212yesmaximal, complemented
8#19133111C211yesmaximal, characteristic, complemented
9#19133090C212yesmaximal, complemented
10#19133086C211yesmaximal, characteristic, complemented
11C43×#3494C211yesmaximal, characteristic
12#14582960—22no—
13#14582956C2212yescomplemented
14#14582952C2212yescomplemented
15#14582926—21no—
16#14582863C2211yescharacteristic
17C2×C22⋊(C43⋊C8)C2211yescharacteristic
18#14582855—21no—
19#14582798—21no—
20#14582792—22no—
21#14582767C2212yescomplemented
22#14582759C2211yescharacteristic
23C4⋊C4×Dic43—21no—
24C4×C4⋊Dic43C2212yescomplemented
25C4×C22⋊Dic43C2211yescharacteristic
26#14582636C2211yescharacteristic, complemented
27#14582636C2211yescharacteristic, complemented
28#14582636C2212yescomplemented
29#14582633C2212yes—
30#14582633C2212yes—
31#14582633C2212yes—
32#14582633C2212yes—
33#14582633C2211yescharacteristic, complemented
34#14582633C2211yescharacteristic, complemented
35#14582633C2212yescomplemented
36C43×#555—21no—
37C43×#553—21no—
38C43×#553—21no—
39C43×#551—22no—
40C43×#547—21no—
41C43×#546—22no—
42C43×#544C411yescharacteristic, complemented
43C43×#542C412yescomplemented
44C43×#540C412yescomplemented
45C43×#535C411yescharacteristic, complemented
46C43×#532C2212yes—
47C43×#529C2212yes—
48C43×#525C2211yescharacteristic
49C2×#121×C43C2211yescharacteristic
50C43×#520C411yescharacteristic, complemented
51C43×#518C411yescharacteristic, complemented
52C2×#117×C43C2211yescharacteristic
53C2×#10621877—21no—
54C22×C43⋊C8—21no—
55C2×C4⋊Dic43—22no—
56C2×C4⋊Dic43—21no—
57C2×C22⋊Dic43—21no—
58C2×C22⋊Dic43—21no—
59C2×C4×Dic43—21no—
60C2×C4×Dic43—22no—
61C4⋊(C43⋊C8)—22no—
62C4⋊(C43⋊C8)—22no—
63C22⋊(C43⋊C8)—21no—
64C22⋊(C43⋊C8)—21no—
65C22⋊(C43⋊C8)C2311yescharacteristic
66C22⋊(C43⋊C8)C2311yescharacteristic
67C22⋊(C43⋊C8)C2312yes—
68#13063236—22no—
69C4×C43⋊C8—22no—
70C43⋊#95—22no—
71C43⋊#95—22no—
72C43⋊#95C2311yescharacteristic
73C43⋊#95C2311yescharacteristic
74C43⋊#95C2312yes—
75C2×#41×C43—22no—
76C2×#41×C43C2×C411yescharacteristic
77C22×D4×C43—21no—
78C22×D4×C43C2×C411yescharacteristic
79C23×C4×C43C2311yescharacteristic
80C4⋊Q8×C43—21no—
81C4⋊Q8×C43C2×C412yes—
82#127×C43C2×C412yes—
83#126×C43—22no—
84#126×C43—22no—
85#125×C43—21no—
86#125×C43C2×C412yes—
87#124×C43—22no—
88#124×C43—22no—
89#124×C43C2×C412yes—
90#123×C43—21no—
91#123×C43—22no—
92#123×C43—22no—
93#123×C43—22no—
94#123×C43—22no—
95C22⋊Q8×C43—22no—
96C22⋊Q8×C43—22no—
97C22⋊Q8×C43C2×C411yescharacteristic
98C22⋊Q8×C43C2311yescharacteristic
99#121×C43—21no—
100#121×C43—21no—
101#121×C43—22no—
102#121×C43—21no—
103#121×C43—21no—
104#121×C43—22no—
105#121×C43—22no—
106#121×C43C2×C412yes—
107#121×C43C2×C411yescharacteristic
108#121×C43C2312yes—
109#121×C43C2311yescharacteristic
110#120×C43—21no—
111#120×C43—22no—
112C4×Q8×C43C2×C412yes—
113C4×D4×C43—21no—
114C4×D4×C43—21no—
115C4×D4×C43—22no—
116C4×D4×C43—21no—
117C4×D4×C43—21no—
118C4×D4×C43—22no—
119C4×D4×C43—22no—
120C4×D4×C43C2×C412yes—
121C4×D4×C43C2×C412yes—
122C4×D4×C43C2×C412yes—
123#117×C43—21no—
124#117×C43—22no—
125#117×C43C2×C411yescharacteristic
126#117×C43C2×C411yescharacteristic
127#117×C43C2×C411yescharacteristic
128#117×C43C2×C412yes—
129#117×C43D412yes—
130#117×C43D411yescharacteristic
131#117×C43D411yescharacteristic
132C2×C4⋊C4×C43—21no—
133C2×C4⋊C4×C43C2×C411yescharacteristic
134C2×C4⋊C4×C43D411yescharacteristic
135C2×C4⋊C4×C43D411yescharacteristic
136C2×C22⋊C4×C43—21no—
137C2×C22⋊C4×C43—22no—
138C2×C22⋊C4×C43D412yes—
139C2×C42×C43C2312yes—
140C24×C43—21no—
141C24×C43C2×D411yescharacteristic
142#41×C43—42no—
143#41×C43—82no—
144#41×C43—82no—
145C2×Q8×C43—22no—
146C2×Q8×C43C22×C411yescharacteristic
147C2×D4×C43—21no—
148C2×D4×C43—22no—
149C2×D4×C43—22no—
150C2×D4×C43—21no—
151C2×D4×C43—21no—
152C2×D4×C43—22no—
153C2×D4×C43—21no—
154C2×D4×C43—22no—
155C2×D4×C43—42no—
156C2×D4×C43—81no—
157C2×D4×C43—81no—
158C2×D4×C43C22×C412yes—
159C2×D4×C43C22×C411yescharacteristic
160C22×C4×C43—21no—
161C22×C4×C43—22no—
162C22×C4×C43—22no—
163C22×C4×C43—22no—
164C22×C4×C43—21no—
165C22×C4×C43—42no—
166C22×C4×C43C22×C411yescharacteristic
167C22×C4×C43C22×C411yescharacteristic
168C22×C4×C43C2×D411yescharacteristic
169C22×C4×C43C2×D411yescharacteristic
170C22×C4×C43C2×D412yes—
171C22×C4×C43C2×D411yescharacteristic
172C22×C4×C43C2×D412yes—
173C22×C4×C43C2411yescharacteristic
174C22×Dic43—21no—
175C22×Dic43—21no—
176C22×Dic43—22no—
177C4⋊C4×C43—21no—
178C4⋊C4×C43—22no—
179C4⋊C4×C43—22no—
180C4⋊C4×C43—22no—
181C4⋊C4×C43—22no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—21no—
184C4⋊C4×C43C22⋊C411yescharacteristic
185C4⋊C4×C43C22⋊C411yescharacteristic
186C4⋊C4×C43C22⋊C411yescharacteristic
187C4⋊C4×C43C22⋊C411yescharacteristic
188C4⋊C4×C43C22⋊C412yes—
189C4⋊C4×C43C22⋊C412yes—
190C4⋊C4×C43C22×C412yes—
191C4⋊C4×C43C22×C411yescharacteristic
192C4⋊C4×C43C22×C411yescharacteristic
193C22⋊C4×C43—22no—
194C22⋊C4×C43—22no—
195C22⋊C4×C43—22no—
196C22⋊C4×C43—22no—
197C22⋊C4×C43—22no—
198C22⋊C4×C43—22no—
199C22⋊C4×C43—21no—
200C22⋊C4×C43—22no—
201C22⋊C4×C43—21no—
202C22⋊C4×C43—21no—
203C22⋊C4×C43—21no—
204C22⋊C4×C43—21no—
205C22⋊C4×C43C22⋊C412yes—
206C22⋊C4×C43C22⋊C412yes—
207C22⋊C4×C43C22⋊C412yes—
208C22⋊C4×C43C22⋊C412yes—
209C42×C43—22no—
210C42×C43—21no—
211C42×C43C22×C412yes—
212C42×C43C22×C412yes—
213C42×C43C2×D412yes—
214C42×C43C2×D412yes—
215C22⋊Dic43—42no—
216C22⋊Dic43—81no—
217C4⋊Dic43—44no—
218C4⋊Dic43—42no—
219C4×Dic43—42no—
220C4×Dic43—82no—
221#10621877—42no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—22no—
224C2×C43⋊C8—21no—
225C2×C43⋊C8—42no—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—22no—
229C23×C43—21no—
230C23×C43—41no—
231C23×C43—41no—
232C23×C43—42no—
233C23×C43—81no—
234C23×C43—81no—
235C23×C43C2×C22⋊C411yescharacteristic
236C23×C43C2×C22⋊C411yescharacteristic
237C23×C43C22×D411yescharacteristic
238Q8×C43—41no—
239Q8×C43—82no—
240D4×C43—42no—
241D4×C43—41no—
242D4×C43—42no—
243D4×C43—42no—
244D4×C43—41no—
245D4×C43—42no—
246D4×C43—41no—
247D4×C43—42no—
248D4×C43—82no—
249D4×C43—82no—
250D4×C43—81no—
251D4×C43—82no—
252C2×C4×C43—22no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—22no—
261C2×C4×C43—42no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—42no—
266C2×C4×C43—82no—
267C2×C4×C43—82no—
268C2×C4×C43—82no—
269C2×C4×C43—81no—
270C2×C4×C43C2×C22⋊C412yes—
271C2×C4×C43C2×C22⋊C412yes—
272C2×C4×C43C2×C22⋊C412yes—
273C2×C4×C43C2×C22⋊C412yes—
274C2×C4×C43C2×C22⋊C411yescharacteristic
275C2×C4×C43C2×C22⋊C411yescharacteristic
276C2×C4×C43C23×C411yescharacteristic
277C2×C4×C43C22×D411yescharacteristic
278C2×Dic43—22no—
279C2×Dic43—41no—
280C2×Dic43—41no—
281C2×Dic43—41no—
282C2×Dic43—42no—
283C2×Dic43—42no—
284C2×Dic43—41no—
285C2×Dic43—42no—
286C2×Dic43—41no—
287C43⋊C8—41no—
288C43⋊C8—41no—
289C43⋊C8—42no—
290#17607—431nomaximal, Sylow
291C22×C43—21no—
292C22×C43—21no—
293C22×C43—21no—
294C22×C43—21no—
295C22×C43—21no—
296C22×C43—21no—
297C22×C43—21no—
298C22×C43—21no—
299C22×C43—42no—
300C22×C43—41no—
301C22×C43—42no—
302C22×C43—41no—
303C22×C43—42no—
304C22×C43—41no—
305C22×C43—81no—
306C22×C43—81no—
307C22×C43—162no—
308C22×C43C22×C22⋊C411yescharacteristic
309C22×C43#57611yescharacteristic
310C22×C43#57711yescharacteristic
311C4×C43—21no—
312C4×C43—21no—
313C4×C43—21no—
314C4×C43—22no—
315C4×C43—22no—
316C4×C43—22no—
317C4×C43—22no—
318C4×C43—41no—
319C4×C43—42no—
320C4×C43—41no—
321C4×C43—41no—
322C4×C43#41012yes—
323Dic43—42no—
324Dic43—82no—
325Dic43—81no—
326#3494D4311yescharacteristic
327#2924—431no—
328#2347—431no—
329#1521—432no—
330#1519—431no—
331#1514—432no—
332#1513—431no—
333#1509—432no—
334#1507—431no—
335#1502—432no—
336#1501—431no—
337C2×C43—21no—
338C2×C43—21no—
339C2×C43—41no—
340C2×C43—41no—
341C2×C43—81no—
342C2×C43—82no—
343C2×C43C2×#41011yescharacteristic
344C2×C43#289711yescharacteristic
345C2×C43#290111yescharacteristic
346#555—21no—
347#553—21no—
348#553—21no—
349#551—22no—
350#547—21no—
351#546—22no—
352#544Dic4311yescharacteristic, complemented
353#542Dic4312yescomplemented
354#540Dic4312yescomplemented
355#535Dic4311yescharacteristic, complemented
356#532C2×D4312yes—
357#529C2×D4312yes—
358#525C2×D4311yescharacteristic
359C2×#121C2×D4311yescharacteristic
360#520Dic4311yescharacteristic, complemented
361#518Dic4311yescharacteristic, complemented
362C2×#117C2×D4311yescharacteristic
363#433—862no—
364#432—432no—
365#431—432no—
366#424—861no—
367#407—431no—
368C2×C22⋊C8—431no—
369#405—861no—
370#389—861no—
371#388—862no—
372#383—432no—
373#380—431no—
374C4×C4⋊C4—432no—
375C4×C4⋊C4—861no—
376C4×C22⋊C4—431no—
377#328—431no—
378#328—431no—
379#328—432no—
380#327—432no—
381#327—432no—
382#327—432no—
383#327—432no—
384#327—431no—
385#327—431no—
386#327—432no—
387C43#1760711yescharacteristic, complemented, Sylow
388C2×#41—22no—
389C2×#41C2×Dic4311yescharacteristic
390C22×D4—21no—
391C22×D4C2×Dic4311yescharacteristic
392C23×C4C22×D4311yescharacteristic
393C2×M16—861no—
394C22×C8—861no—
395C4⋊Q8—21no—
396C4⋊Q8C2×Dic4312yes—
397#127C2×Dic4312yes—
398#126—22no—
399#126—22no—
400#125—21no—
401#125C2×Dic4312yes—
402#124—22no—
403#124—22no—
404#124C2×Dic4312yes—
405#123—21no—
406#123—22no—
407#123—22no—
408#123—22no—
409#123—22no—
410C22⋊Q8—22no—
411C22⋊Q8—22no—
412C22⋊Q8C2×Dic4311yescharacteristic
413C22⋊Q8C22×D4311yescharacteristic
414#121—21no—
415#121—21no—
416#121—22no—
417#121—21no—
418#121—21no—
419#121—22no—
420#121—22no—
421#121C2×Dic4312yes—
422#121C2×Dic4311yescharacteristic
423#121C22×D4312yes—
424#121C22×D4311yescharacteristic
425#120—21no—
426#120—22no—
427C4×Q8C2×Dic4312yes—
428C4×D4—21no—
429C4×D4—21no—
430C4×D4—22no—
431C4×D4—21no—
432C4×D4—21no—
433C4×D4—22no—
434C4×D4—22no—
435C4×D4C2×Dic4312yes—
436C4×D4C2×Dic4312yes—
437C4×D4C2×Dic4312yes—
438#117—21no—
439#117—22no—
440#117C2×Dic4311yescharacteristic
441#117C2×Dic4311yescharacteristic
442#117C2×Dic4311yescharacteristic
443#117C2×Dic4312yes—
444#117C22⋊D4312yes—
445#117C22⋊D4311yescharacteristic
446#117C22⋊D4311yescharacteristic
447C2×C4⋊C4—21no—
448C2×C4⋊C4—862no—
449C2×C4⋊C4—861no—
450C2×C4⋊C4C2×Dic4311yescharacteristic
451C2×C4⋊C4C22⋊D4311yescharacteristic
452C2×C4⋊C4C22⋊D4311yescharacteristic
453C2×C22⋊C4—21no—
454C2×C22⋊C4—22no—
455C2×C22⋊C4—861no—
456C2×C22⋊C4—861no—
457C2×C22⋊C4C22⋊D4312yes—
458C2×C42—862no—
459C2×C42—861no—
460C2×C42C22×D4312yes—
461C4⋊C8—862no—
462C4⋊C8—862no—
463C22⋊C8—431no—
464C22⋊C8—431no—
465C22⋊C8—432no—
466C22⋊C8—861no—
467C22⋊C8—861no—
468#97—862no—
469C4×C8—862no—
470#95—431no—
471#95—431no—
472#95—432no—
473#95—862no—
474#95—862no—
475C24—21no—
476C24C2×C22⋊D4311yescharacteristic
477#41—42no—
478#41—82no—
479#41—82no—
480C2×Q8—22no—
481C2×Q8C22×Dic4311yescharacteristic
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×Dic4312yes—
494C2×D4C22×Dic4311yescharacteristic
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—42no—
501C22×C4—861no—
502C22×C4—861no—
503C22×C4—862no—
504C22×C4C22×Dic4311yescharacteristic
505C22×C4C22×Dic4311yescharacteristic
506C22×C4C2×C22⋊D4312yes—
507C22×C4C2×C22⋊D4311yescharacteristic
508C22×C4C2×C22⋊D4311yescharacteristic
509C22×C4C2×C22⋊D4312yes—
510C22×C4C2×C22⋊D4311yescharacteristic
511C22×C4C23×D4311yescharacteristic
512M16—1722no—
513C2×C8—861no—
514C2×C8—862no—
515C2×C8—861no—
516C2×C8—1722no—
517C4⋊C4—21no—
518C4⋊C4—22no—
519C4⋊C4—22no—
520C4⋊C4—22no—
521C4⋊C4—22no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—1722no—
525C4⋊C4—1724no—
526C4⋊C4C22⋊Dic4311yescharacteristic
527C4⋊C4C22⋊Dic4311yescharacteristic
528C4⋊C4C22⋊Dic4311yescharacteristic
529C4⋊C4C22⋊Dic4311yescharacteristic
530C4⋊C4C22⋊Dic4312yes—
531C4⋊C4C22⋊Dic4312yes—
532C4⋊C4C22×Dic4312yes—
533C4⋊C4C22×Dic4311yescharacteristic
534C4⋊C4C22×Dic4311yescharacteristic
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—3441no—
548C22⋊C4—1722no—
549C22⋊C4C22⋊Dic4312yes—
550C22⋊C4C22⋊Dic4312yes—
551C22⋊C4C22⋊Dic4312yes—
552C22⋊C4C22⋊Dic4312yes—
553C42—22no—
554C42—21no—
555C42—3442no—
556C42—1722no—
557C42C22×Dic4312yes—
558C42C22×Dic4312yes—
559C42C2×C22⋊D4312yes—
560C42C2×C22⋊D4312yes—
561C23—21no—
562C23—21no—
563C23—22no—
564C23—21no—
565C23—41no—
566C23—41no—
567C23—42no—
568C23—81no—
569C23—81no—
570C23C2×C22⋊Dic4311yescharacteristic
571C23C2×C22⋊Dic4311yescharacteristic
572C23C22×C22⋊D4311yescharacteristic
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—82no—
586D4—81no—
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—862no—
606C2×C4—1721no—
607C2×C4—1721no—
608C2×C4—1722no—
609C2×C4—1722no—
610C2×C4—1722no—
611C2×C4—1721no—
612C2×C4—1721no—
613C2×C4—1721no—
614C2×C4C2×C22⋊Dic4312yes—
615C2×C4C2×C22⋊Dic4312yes—
616C2×C4C2×C22⋊Dic4312yes—
617C2×C4C2×C22⋊Dic4312yes—
618C2×C4C2×C22⋊Dic4311yescharacteristic
619C2×C4C2×C22⋊Dic4311yescharacteristic
620C2×C4C23×Dic4311yescharacteristic
621C2×C4C22×C22⋊D4311yescharacteristic
622C8—1721no—
623C8—1721no—
624C8—1722no—
625C22—21no—
626C22—21no—
627C22—21no—
628C22—21no—
629C22—21no—
630C22—21no—
631C22—21no—
632C22—21no—
633C22—41no—
634C22—42no—
635C22—41no—
636C22—42no—
637C22—42no—
638C22—41no—
639C22—81no—
640C22—81no—
641C22—162no—
642C22C22×C22⋊Dic4311yescharacteristic
643C22#1458370211yescharacteristic
644C22#1458371011yescharacteristic
645C4—21no—
646C4—21no—
647C4—21no—
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—41no—
653C4—42no—
654C4—41no—
655C4—41no—
656C4—3442no—
657C4—3441no—
658C4—1722no—
659C4#1458287312yes—
660C2—21no—
661C2—21no—
662C2—41no—
663C2—41no—
664C2—82no—
665C2—81no—
666C2C2×#1458287311yescharacteristic
667C2#1914312111yescharacteristic
668C2#1914314211yescharacteristic
subgroupG/H
centerC22C22×C22⋊Dic43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
Fitting, prime radicalC43×#3494C2
socleC22×C43C22×C22⋊C4
cosocleC22×C4×C43C24
hypercenter#3494D43
hypocenterC43#17607
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#117 ◁ #3494

Complements

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

NH ≅ G/Ntype
1. #19143253C2semidirect
2. #19137488C2semidirect
3. #19133172C2semidirect
4. #19133163C2semidirect
5. #19133142C2semidirect
6. #19133138C2semidirect
7. #19133120C2semidirect
8. #19133111C2semidirect
9. #19133090C2semidirect
10. #19133086C2semidirect
13. #14582956C22semidirect
14. #14582952C22semidirect
21. #14582767C22semidirect
24. C4×C4⋊Dic43C22semidirect
26. #14582636C22semidirect
27. #14582636C22semidirect
28. #14582636C22semidirect
33. #14582633C22semidirect
34. #14582633C22semidirect
35. #14582633C22semidirect
42. C43×#544C4semidirect
43. C43×#542C4semidirect
44. C43×#540C4semidirect
45. C43×#535C4semidirect
50. C43×#520C4semidirect
51. C43×#518C4semidirect
352. #544Dic43semidirect
353. #542Dic43semidirect
354. #540Dic43semidirect
355. #535Dic43semidirect
360. #520Dic43semidirect
361. #518Dic43semidirect
387. C43#17607semidirect

Maximal subgroups

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

subgroupindex
#191432532
#191374882
#191331722
#191331632
#191331422
#191331382
#191331202
#191331112
#191330902
#191330862
C43×#34942
#1760743