Finite Group Databasebeta

← #10772489

Subgroups — #10772489

Order 768.

956 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#86285C211yesmaximal, characteristic, complemented
2#83334C211yesmaximal, characteristic, complemented
3#79343C211yesmaximal, characteristic, complemented
4#79028C211yesmaximal, characteristic, complemented
5C3×#1552C211yesmaximal, characteristic, complemented
6#70800C211yesmaximal, characteristic, complemented
7C2×#4483C211yesmaximal, characteristic, complemented
8#68459C211yesmaximal, characteristic, complemented
9#68457C211yesmaximal, characteristic, complemented
10#68435C211yesmaximal, characteristic, complemented
11#68434C211yesmaximal, characteristic, complemented
12#68434C211yesmaximal, characteristic, complemented
13#68433C211yesmaximal, characteristic, complemented
14#68432C211yesmaximal, characteristic, complemented
15#68432C211yesmaximal, characteristic, complemented
16#18638—31nomaximal, Sylow
17C3×#533C2211yescharacteristic
18#5732C2211yescharacteristic
19#5727C2211yescharacteristic
20#5726C2211yescharacteristic
21#5726C2211yescharacteristic
22#5692—22no—
23#5635—21no—
24#5630—21no—
25#5627—21no—
26D3×C22⋊Q8—21no—
27#5582—21no—
28#5581—21no—
29#5576—21no—
30#5574—21no—
31#5527—22no—
32#5479C2211yescharacteristic
33#5477C2211yescharacteristic
34C2×C4×D12C2211yescharacteristic
35C3×#432C2211yescharacteristic
36C2×C3×C4⋊C8C2211yescharacteristic
37#5115—21no—
38#5114—21no—
39#5093C2211yescharacteristic, complemented
40#5093C2211yescharacteristic, complemented
41#5088C2211yescharacteristic, complemented
42#5088C2211yescharacteristic, complemented
43#5068—22no—
44#5002—22no—
45C2×C4×C3⋊C8C2211yescharacteristic
46#4850C2211yescharacteristic, complemented
47#4848C2211yescharacteristic, complemented
48#4847—21no—
49#4844—21no—
50#4843C2211yescharacteristic
51#4843C2211yescharacteristic
52#4843C2211yescharacteristic, complemented
53#4842C2211yescharacteristic
54#4842C2211yescharacteristic
55#4842C2211yescharacteristic, complemented
56#4735—21no—
57#4732—21no—
58#4711—21no—
59#4711—21no—
60C3×#332C2211yescharacteristic, complemented
61C3×#332C2211yescharacteristic, complemented
62C3×#332C2211yescharacteristic, complemented
63C3×#332C2211yescharacteristic, complemented
64#4484C2211yescharacteristic, complemented
65#4484C2211yescharacteristic, complemented
66#4483C2211yescharacteristic
67#4483C2211yescharacteristic
68#4483C2211yescharacteristic
69#4483C2211yescharacteristic
70#4483C2211yescharacteristic, complemented
71#4483C2211yescharacteristic, complemented
72#3520—31no—
73#3247—31no—
74#3131—31no—
75#3109—31no—
76#1638—31no—
77#1637—31no—
78#1635—31no—
79#1635—31no—
80#1628—31no—
81#1627—31no—
82#1625—31no—
83#1625—31no—
84#1552D311yescharacteristic, complemented
85#1494—31no—
86C2×D4⋊C8—31no—
87C2×#239—21no—
88C2×#239—21no—
89C2×D3×Q8—21no—
90C2×#235—21no—
91C22×D12D411yescharacteristic
92C22×C4×D3—21no—
93C22×C3×C8—21no—
94C3×C4⋊Q8C2311yescharacteristic
95C3×C4⋊Q8C2311yescharacteristic
96C3×#125D412yes—
97C3×C22⋊Q8—21no—
98C3×C22⋊Q8—21no—
99C3×C4×Q8—21no—
100C3×C4×Q8—21no—
101C3×#117D412yes—
102C2×C3×C42C2311yescharacteristic
103#947—21no—
104#946—21no—
105#946—21no—
106#946—21no—
107Q8×Dic3—21no—
108#930—21no—
109#930—21no—
110#930D411yescharacteristic
111#929—21no—
112C4×#67—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×C4⋊Dic3D411yescharacteristic
115#924D411yescharacteristic
116C22×C3⋊C8—21no—
117C2×D24—21no—
118C2×D24—21no—
119C2×D24—21no—
120C2×#204—21no—
121#898—22no—
122#897—22no—
123#897—21no—
124#896—22no—
125#896—22no—
126#895—22no—
127#895—21no—
128#895—21no—
129#894—22no—
130#894—22no—
131#894—22no—
132#894—22no—
133#893—22no—
134#893—21no—
135#892—21no—
136D3×C4⋊C4—22no—
137D3×C4⋊C4—21no—
138D3×C4⋊C4—21no—
139#889—22no—
140#888—21no—
141#882—22no—
142#67⋊C4—22no—
143D3×C22⋊C4—22no—
144#878—22no—
145#876—22no—
146#876—21no—
147#875—22no—
148#875—21no—
149#875D411yescharacteristic
150#874C2311yescharacteristic
151C4×D12—22no—
152C4×D12—21no—
153C4×D12—21no—
154C4×D12—21no—
155C4×D12—21no—
156C4×D12D411yescharacteristic
157C4×D12D411yescharacteristic
158C4×D12C2311yescharacteristic
159C4×D12C2311yescharacteristic
160C4×D12C2311yescharacteristic
161#872—22no—
162#872—21no—
163#870D411yescharacteristic
164#869C2311yescharacteristic
165C4×Dic6C2311yescharacteristic
166C3×C4⋊C8—21no—
167C3×C4⋊C8C2311yescharacteristic
168C3×C4⋊C8C2311yescharacteristic
169C3×C4⋊C8C2311yescharacteristic
170C3×C4⋊C8C2311yescharacteristic
171C3×C22⋊C8—21no—
172C3×#97—21no—
173#821—21no—
174#821—21no—
175#821—21no—
176#821—21no—
177#821—21no—
178#821—21no—
179#821—21no—
180#818—21no—
181#817—21no—
182#817—21no—
183#817—21no—
184#816—21no—
185#810—22no—
186#810—22no—
187#809—22no—
188#809—22no—
189C4×C3⋊C8—21no—
190C4×C3⋊C8C2311yescharacteristic
191C4×C3⋊C8C2311yescharacteristic
192#556—31no—
193#554—61no—
194#552—61no—
195#551—62no—
196D4×Q8—31no—
197#548—61no—
198#547—31no—
199#547—31no—
200#546—61no—
201#542—61no—
202#539—62no—
203#533C2×D311yescharacteristic
204#532—31no—
205#529—31no—
206#525—61no—
207C2×C22⋊Q8—61no—
208#520—61no—
209C2×C4×D4—31no—
210#488—62no—
211#487—31no—
212#487—31no—
213#486—31no—
214#486—31no—
215#481—61no—
216#478—61no—
217#477—31no—
218#476—31no—
219#476—31no—
220#476—31no—
221#466—61no—
222#465—61no—
223#463—61no—
224#460—31no—
225#459—31no—
226#459—31no—
227#459—31no—
228#447—61no—
229#442—61no—
230#442—61no—
231#432C2×D311yescharacteristic
232C2×C4⋊C8C2×D311yescharacteristic
233#416—62no—
234C2×C4×C8—31no—
235#332C2×D311yescharacteristic, complemented
236#332C2×D311yescharacteristic, complemented
237#332C2×D311yescharacteristic, complemented
238#332C2×D311yescharacteristic, complemented
239Q8⋊C8—31no—
240Q8⋊C8—31no—
241D4⋊C8—31no—
242D4⋊C8—31no—
243D4⋊C8—31no—
244D4⋊C8—31no—
245D4⋊C8—31no—
246D4⋊C8—31no—
247C23×D3—21no—
248C2×C3×Q8—21no—
249C2×C3×Q8—21no—
250C22×C3×C4C2×D411yescharacteristic
251C22×C3×C4C2×D411yescharacteristic
252C22×C3×C4C2×D411yescharacteristic
253C2×#67—21no—
254C2×#67—41no—
255C22×Dic3—21no—
256#239—42no—
257#239—42no—
258#239—81no—
259#239—81no—
260D3×Q8—81no—
261D3×Q8—81no—
262#235—44no—
263C2×D12—22no—
264C2×D12—22no—
265C2×D12—21no—
266C2×D12—21no—
267C2×D12—21no—
268C2×D12—21no—
269C2×D12—22no—
270C2×D12—41no—
271C2×D12C2×D411yescharacteristic
272C2×D12C2×D411yescharacteristic
273C2×D12C2×D411yescharacteristic
274C2×C4×D3—22no—
275C2×C4×D3—21no—
276C2×C4×D3—21no—
277C2×C4×D3—21no—
278C2×C4×D3—22no—
279C2×C4×D3—22no—
280C2×C4×D3—21no—
281C2×C4×D3—21no—
282C2×C4×D3—41no—
283C2×C4×D3—81no—
284C2×C4×D3—81no—
285C2×Dic6—21no—
286C2×Dic6—22no—
287C2×Dic6C2×D411yescharacteristic
288C2×C3×C8—21no—
289C2×C3×C8—21no—
290C2×C3×C8—21no—
291C2×C3×C8—21no—
292C2×C3×C8—81no—
293C3×C4⋊C4—22no—
294C3×C4⋊C4—22no—
295C3×C4⋊C4—21no—
296C3×C4⋊C4—21no—
297C3×C4⋊C4C2×D412yes—
298C3×C4⋊C4C2×D412yes—
299C3×C22⋊C4—22no—
300C3×C42—22no—
301C3×C42C2×D411yescharacteristic
302C3×C42C2×D411yescharacteristic
303C3×C42C2×D411yescharacteristic
304C3×C42C2411yescharacteristic
305#217—21no—
306(C2×D3)⋊C4—22no—
307(C2×D3)⋊C4—22no—
308(C2×D3)⋊C4—22no—
309(C2×D3)⋊C4—22no—
310(C2×D3)⋊C4—22no—
311(C2×D3)⋊C4—21no—
312(C2×D3)⋊C4—21no—
313(C2×D3)⋊C4—21no—
314(C2×D3)⋊C4—21no—
315(C2×D3)⋊C4—21no—
316(C2×D3)⋊C4—21no—
317(C2×D3)⋊C4—21no—
318(C2×D3)⋊C4—21no—
319(C2×D3)⋊C4—41no—
320(C2×D3)⋊C4—41no—
321C4⋊Dic3—22no—
322C4⋊Dic3—21no—
323C4⋊Dic3—21no—
324C4⋊Dic3—21no—
325C4⋊Dic3C2×D411yescharacteristic
326C4⋊Dic3C2×D411yescharacteristic
327C4⋊Dic3C2×D411yescharacteristic
328C4⋊Dic3C2×D411yescharacteristic
329Dic3⋊C4—22no—
330Dic3⋊C4—22no—
331Dic3⋊C4—22no—
332Dic3⋊C4—21no—
333Dic3⋊C4—21no—
334Dic3⋊C4—21no—
335Dic3⋊C4—21no—
336C4×Dic3—22no—
337C4×Dic3—21no—
338C2×C3⋊C8—21no—
339C2×C3⋊C8—21no—
340C2×C3⋊C8—42no—
341D24—42no—
342D24—42no—
343D24—81no—
344#204—81no—
345C2×#41—61no—
346C2×#41—61no—
347C2×#41—61no—
348C22×Q8—61no—
349C22×D4—31no—
350C23×C4—61no—
351C2×SD16—61no—
352C2×D8—61no—
353C2×D8—61no—
354C2×D8—61no—
355C22×C8—21no—
356C22×C8—61no—
357C4⋊Q8—31no—
358C4⋊Q8—61no—
359C4⋊Q8C22×D311yescharacteristic
360C4⋊Q8C22×D311yescharacteristic
361#127—31no—
362#126—62no—
363#126—62no—
364#126—61no—
365#125—31no—
366#125—62no—
367#125D1212yes—
368#124—31no—
369#124—62no—
370#124—61no—
371#124—61no—
372#123—62no—
373#123—62no—
374#123—61no—
375#123—62no—
376#123—62no—
377C22⋊Q8—21no—
378C22⋊Q8—21no—
379C22⋊Q8—31no—
380C22⋊Q8—62no—
381C22⋊Q8—61no—
382C22⋊Q8—62no—
383C22⋊Q8—62no—
384C22⋊Q8—61no—
385C22⋊Q8—61no—
386C22⋊Q8—61no—
387C22⋊Q8—62no—
388#121—31no—
389#121—61no—
390#121—61no—
391#121—62no—
392#121—61no—
393#121—61no—
394#120—62no—
395C4×Q8—21no—
396C4×Q8—21no—
397C4×Q8—31no—
398C4×Q8—61no—
399C4×D4—31no—
400C4×D4—31no—
401C4×D4—31no—
402C4×D4—31no—
403C4×D4—31no—
404C4×D4—62no—
405C4×D4—62no—
406C4×D4—61no—
407C4×D4—62no—
408C4×D4—61no—
409C4×D4—61no—
410C4×D4—61no—
411C4×D4—61no—
412C4×D4—61no—
413#117—62no—
414#117—61no—
415#117—61no—
416#117D1212yes—
417C2×C4⋊C4—31no—
418C2×C4⋊C4—61no—
419C2×C4⋊C4—61no—
420C2×C4⋊C4—62no—
421C2×C22⋊C4—62no—
422C2×C22⋊C4—61no—
423C2×C42C22×D311yescharacteristic
424#107—61no—
425#106—61no—
426#106—61no—
427#106—61no—
428C4⋊C8—21no—
429C4⋊C8C22×D311yescharacteristic
430C4⋊C8C22×D311yescharacteristic
431C4⋊C8C22×D311yescharacteristic
432C4⋊C8C22×D311yescharacteristic
433#103—61no—
434#103—62no—
435#103—62no—
436#102—61no—
437#102—61no—
438#102—61no—
439#102—61no—
440#102—61no—
441#102—61no—
442#102—61no—
443#102—62no—
444#102—62no—
445C22⋊C8—21no—
446#97—21no—
447C4×C8—31no—
448C4×C8—31no—
449C4×C8—61no—
450C23×C3#12011yescharacteristic
451C22×D3—21no—
452C22×D3—21no—
453C22×D3—21no—
454C22×D3—42no—
455C22×D3—42no—
456C22×D3—41no—
457C22×D3—81no—
458C3×Q8—41no—
459C3×Q8—41no—
460C3×Q8—41no—
461C3×Q8—41no—
462C2×C3×C4—22no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—21no—
466C2×C3×C4—21no—
467C2×C3×C4—22no—
468C2×C3×C4—22no—
469C2×C3×C4#12011yescharacteristic
470C2×C3×C4#12011yescharacteristic
471C2×C3×C4#12011yescharacteristic
472C2×C3×C4C22×D411yescharacteristic
473C2×C3×C4C22×D411yescharacteristic
474C2×C3×C4C22×D411yescharacteristic
475#67—42no—
476#67—82no—
477C2×Dic3—21no—
478C2×Dic3—21no—
479C2×Dic3—21no—
480C2×Dic3—21no—
481C2×Dic3—21no—
482C2×Dic3—41no—
483C2×Dic3—81no—
484D12—21no—
485D12—21no—
486D12—21no—
487D12—21no—
488D12—21no—
489D12—42no—
490D12—42no—
491D12—44no—
492D12—41no—
493D12—41no—
494D12—41no—
495D12—41no—
496D12—82no—
497D12#13512yes—
498C4×D3—44no—
499C4×D3—41no—
500C4×D3—41no—
501C4×D3—41no—
502C4×D3—41no—
503C4×D3—41no—
504C4×D3—41no—
505C4×D3—81no—
506C4×D3—81no—
507C4×D3—82no—
508C4×D3—82no—
509C4×D3—82no—
510Dic6—21no—
511Dic6—21no—
512Dic6—42no—
513Dic6—82no—
514C3×C8—41no—
515C3×C8—41no—
516C3×C8—41no—
517C3×C8—41no—
518C3⋊C8—41no—
519C3⋊C8—41no—
520C24—61no—
521#41—124no—
522#41—122no—
523#41—122no—
524#41—241no—
525#41—241no—
526C2×Q8—21no—
527C2×Q8—21no—
528C2×Q8—31no—
529C2×Q8—62no—
530C2×Q8—61no—
531C2×Q8—241no—
532C2×Q8—241no—
533C2×D4—31no—
534C2×D4—31no—
535C2×D4—31no—
536C2×D4—62no—
537C2×D4—62no—
538C2×D4—62no—
539C2×D4—61no—
540C2×D4—61no—
541C2×D4—61no—
542C2×D4—61no—
543C2×D4—61no—
544C2×D4—121no—
545C2×D4—121no—
546C22×C4—62no—
547C22×C4—62no—
548C22×C4—62no—
549C22×C4—61no—
550C22×C4—61no—
551C22×C4—61no—
552C22×C4—61no—
553C22×C4—61no—
554C22×C4—61no—
555C22×C4—121no—
556C22×C4—241no—
557C22×C4—241no—
558C22×C4C2×D1211yescharacteristic
559C22×C4D3×D411yescharacteristic
560C22×C4D3×D411yescharacteristic
561SD16—241no—
562D8—122no—
563D8—122no—
564D8—241no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—61no—
570C2×C8—61no—
571C2×C8—81no—
572C2×C8—122no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—31no—
578C4⋊C4—31no—
579C4⋊C4—31no—
580C4⋊C4—31no—
581C4⋊C4—62no—
582C4⋊C4—62no—
583C4⋊C4—62no—
584C4⋊C4—62no—
585C4⋊C4—61no—
586C4⋊C4—61no—
587C4⋊C4—61no—
588C4⋊C4—61no—
589C4⋊C4—61no—
590C4⋊C4—61no—
591C4⋊C4—61no—
592C4⋊C4C2×D1212yes—
593C4⋊C4C2×D1212yes—
594C22⋊C4—22no—
595C22⋊C4—62no—
596C22⋊C4—62no—
597C22⋊C4—62no—
598C22⋊C4—62no—
599C22⋊C4—62no—
600C22⋊C4—61no—
601C22⋊C4—61no—
602C22⋊C4—61no—
603C22⋊C4—61no—
604C22⋊C4—61no—
605C22⋊C4—61no—
606C22⋊C4—61no—
607C22⋊C4—61no—
608C22⋊C4—61no—
609C22⋊C4—121no—
610C22⋊C4—121no—
611C42—22no—
612C42—62no—
613C42—61no—
614C42C2×D1211yescharacteristic
615C42D3×D411yescharacteristic
616C42D3×D411yescharacteristic
617C42C23×D311yescharacteristic
618C22×C3—21no—
619C22×C3—21no—
620C22×C3#45412yes—
621C22×C3C2×#12011yescharacteristic
622C2×D3—22no—
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—41no—
630C2×D3—41no—
631C2×D3—84no—
632C2×D3—81no—
633C2×D3—81no—
634C2×D3—81no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—21no—
639C3×C4—42no—
640C3×C4—42no—
641C3×C4C2×#13511yescharacteristic
642C3×C4#57511yescharacteristic
643C3×C4#57611yescharacteristic
644C3×C4#57711yescharacteristic
645Dic3—41no—
646Dic3—41no—
647Dic3—41no—
648Dic3—41no—
649Dic3—41no—
650Dic3—81no—
651C23—61no—
652C23—61no—
653C23—61no—
654C23—122no—
655C23—122no—
656C23—121no—
657C23—241no—
658C23#88211yescharacteristic
659Q8—41no—
660Q8—41no—
661Q8—41no—
662Q8—41no—
663Q8—61no—
664Q8—61no—
665Q8—122no—
666Q8—242no—
667D4—32no—
668D4—61no—
669D4—61no—
670D4—61no—
671D4—61no—
672D4—61no—
673D4—122no—
674D4—122no—
675D4—124no—
676D4—122no—
677D4—121no—
678D4—121no—
679D4—121no—
680D4—121no—
681D4—242no—
682D4—242no—
683C2×C4—22no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—61no—
691C2×C4—61no—
692C2×C4—61no—
693C2×C4—61no—
694C2×C4—61no—
695C2×C4—124no—
696C2×C4—121no—
697C2×C4—121no—
698C2×C4—121no—
699C2×C4—121no—
700C2×C4—121no—
701C2×C4—121no—
702C2×C4—121no—
703C2×C4—241no—
704C2×C4—241no—
705C2×C4—242no—
706C2×C4—242no—
707C2×C4—242no—
708C2×C4—241no—
709C2×C4#88211yescharacteristic
710C2×C4#88211yescharacteristic
711C2×C4#88211yescharacteristic
712C2×C4C22×D1211yescharacteristic
713C2×C4C2×D3×D411yescharacteristic
714C2×C4C2×D3×D411yescharacteristic
715C8—41no—
716C8—41no—
717C8—41no—
718C8—41no—
719C8—121no—
720C8—121no—
721C2×C3—22no—
722C2×C3#300211yescharacteristic
723C2×C3#301211yescharacteristic
724C2×C3C2×#45411yescharacteristic
725D3—42no—
726D3—81no—
727D3—81no—
728D3—161no—
729C22—21no—
730C22—21no—
731C22—62no—
732C22—121no—
733C22—121no—
734C22—121no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—244no—
741C22—241no—
742C22—241no—
743C22—241no—
744C22#475312yes—
745C22C2×#88211yescharacteristic
746C4—21no—
747C4—21no—
748C4—21no—
749C4—21no—
750C4—42no—
751C4—42no—
752C4—121no—
753C4—121no—
754C4—121no—
755C4—121no—
756C4—121no—
757C4—241no—
758C4D3×#13511yescharacteristic
759C4#576811yescharacteristic
760C4#577411yescharacteristic
761C4#577811yescharacteristic
762C3#1863811yescharacteristic, complemented, Sylow
763C2—22no—
764C2—122no—
765C2—241no—
766C2—241no—
767C2—481no—
768C2C2×#475311yescharacteristic
769C2#7883311yescharacteristic
770C2#7888611yescharacteristic
subgroupG/H
centerC22C2×#882
commutator, cosocleC3×C42C24
FrattiniC42C23×D3
FittingC3×#1552C2
socleC22×C3C2×#120
hypercenter#1552D3
hypocenterC3#18638
LCSG ▷ C3×C42 ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1552

Complements

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

NH ≅ G/Ntype
1. #86285C2semidirect
2. #83334C2semidirect
3. #79343C2semidirect
4. #79028C2semidirect
5. C3×#1552C2semidirect
6. #70800C2semidirect
7. C2×#4483C2semidirect
8. #68459C2semidirect
9. #68457C2semidirect
10. #68435C2semidirect
11. #68434C2semidirect
12. #68434C2semidirect
13. #68433C2semidirect
14. #68432C2semidirect
15. #68432C2semidirect
39. #5093C22semidirect
40. #5093C22semidirect
41. #5088C22semidirect
42. #5088C22semidirect
46. #4850C22semidirect
47. #4848C22semidirect
52. #4843C22semidirect
55. #4842C22semidirect
60. C3×#332C22semidirect
61. C3×#332C22semidirect
62. C3×#332C22semidirect
63. C3×#332C22semidirect
64. #4484C22semidirect
65. #4484C22semidirect
70. #4483C22semidirect
71. #4483C22semidirect
84. #1552D3semidirect
235. #332C2×D3semidirect
236. #332C2×D3semidirect
237. #332C2×D3semidirect
238. #332C2×D3semidirect
762. C3#18638semidirect

Maximal subgroups

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

subgroupindex
#862852
#833342
#793432
#790282
C3×#15522
#708002
C2×#44832
#684592
#684572
#684352
#684342
#684332
#684322
#186383