Finite Group Databasebeta

← #7709541

Subgroups — #7709541

Order 512.

4232 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59766C212yesmaximal, complemented
2#59681C211yesmaximal, characteristic, complemented
3#59666C211yesmaximal, characteristic, complemented
4#59547C212yesmaximal, complemented
5#59459C211yesmaximal, characteristic, complemented
6#59443C211yesmaximal, characteristic, complemented
7#45759C214yesmaximal
8#45661C212yesmaximal
9#45618C212yesmaximal
10#40024C212yesmaximal, complemented
11#39979C212yesmaximal, complemented
12#39734C211yesmaximal, characteristic
13#39655C212yesmaximal, complemented
14#39609C211yesmaximal, characteristic
15#39526C212yesmaximal, complemented
16#39478C211yesmaximal, characteristic
17#39353C211yesmaximal, characteristic
18#38614C214yesmaximal, complemented
19#37995C214yesmaximal
20#37981C212yesmaximal
21#37793C212yesmaximal
22#37526C212yesmaximal
23#37062C214yesmaximal, complemented
24#36640C211yesmaximal, characteristic
25#36635C211yesmaximal, characteristic
26#36512C212yesmaximal
27#36497C211yesmaximal, characteristic, complemented
28#36447C211yesmaximal, characteristic, complemented
29#36384C212yesmaximal
30#36313C211yesmaximal, characteristic, complemented
31#36313C211yesmaximal, characteristic, complemented
32#35208C212yesmaximal, complemented
33#35115C212yesmaximal, complemented
34#34420C212yesmaximal
35C4×#533C211yesmaximal, characteristic
36C2×#541C2212yes—
37C2×#533C2211yescharacteristic
38#2864C2212yes—
39#2864C2212yes—
40#2864C2212yes—
41#2864C2212yes—
42#2863C2212yes—
43#2863C2212yes—
44#2863C2212yes—
45#2863C2212yes—
46#2862C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2212yes—
49#2859C2211yescharacteristic
50#2859C2211yescharacteristic
51#2859C2211yescharacteristic
52#2859C2211yescharacteristic
53#2857C2211yescharacteristic
54#2857C2211yescharacteristic
55#2855C2212yes—
56#2855C2212yes—
57#2851C2212yes—
58#2851C2211yescharacteristic
59#2851C2211yescharacteristic
60#2851C2211yescharacteristic
61#2851C2212yes—
62#2851C2211yescharacteristic
63#2851C2212yes—
64#2835C2214yes—
65#2834C2214yes—
66#2805C2214yes—
67#2802C2214yes—
68#2802C2214yes—
69#2802C2214yes—
70#2802C2214yes—
71#2794C2214yes—
72#2792C2214yes—
73#2792C2214yes—
74#2791C2214yes—
75#2789C2214yes—
76#2776C2214yes—
77#2776C2214yes—
78#2776C2214yes—
79#2774C2214yes—
80#2774C2214yes—
81#2767C2214yes—
82#2766C2214yes—
83#2766C2214yes—
84#2766C2214yes—
85#2762C2214yes—
86#2758C2214yes—
87#2747C2214yes—
88#2747C2214yes—
89#2745C2214yes—
90#2742C2214yes—
91#2738C2214yes—
92#2726C2214yes—
93#2722C2214yes—
94#2719C2214yes—
95#2719C2214yes—
96#2698C2214yes—
97#2689C2214yes—
98#2666C2214yes—
99#2666C2214yes—
100#2666C2214yes—
101#2655C2214yes—
102#2655C2214yes—
103#2634C2214yes—
104#2628C2212yes—
105#2625C2212yes—
106#2625C2212yes—
107#2621C2212yes—
108#2612C2214yes—
109#2611C2214yes—
110#2606C2214yes—
111#2599C2214yes—
112#2590C2214yes—
113#2588C2214yes—
114#2586C2214yes—
115#2585C2214yes—
116#2584C2212yes—
117#2582C2212yes—
118#2581C2212yes—
119#2571C2211yescharacteristic
120#2571C2212yes—
121#2570C2212yes—
122#2570C2212yes—
123#2570C2212yes—
124#2570C2212yes—
125#2568C2211yescharacteristic
126#2568C2211yescharacteristic
127#2567C2212yes—
128#2567C2212yes—
129#2567C2212yes—
130#2565C2212yes—
131#2565C2212yes—
132#2565C2212yes—
133#2552C2211yescharacteristic
134#2552C2212yes—
135#2552C2211yescharacteristic
136#2552C2212yes—
137#2551C2211yescharacteristic
138#2550C2212yes—
139#2550C2212yes—
140#2550C2212yes—
141#2546C2211yescharacteristic
142#2546C2212yes—
143#2546C2211yescharacteristic
144#2533C2214yes—
145#2533C2214yes—
146#2533C2214yes—
147#2533C2214yes—
148#2528C2214yes—
149#2528C2214yes—
150#2528C2214yes—
151#2528C2214yes—
152#2528C2214yes—
153#2528C2214yes—
154#2524C2214yes—
155#2524C2214yes—
156#2524C2214yes—
157#2524C2214yes—
158#2523C2214yes—
159#2520C2214yes—
160#2520C2214yes—
161#2517C2214yes—
162#2514C2212yes—
163#2514C2212yes—
164#2514C2212yes—
165#2514C2212yes—
166#2514C2212yes—
167#2514C2212yes—
168#2514C2212yes—
169#2511C2212yes—
170#2511C2212yes—
171#2511C2212yes—
172#2511C2212yes—
173#2511C2212yes—
174#2509C2212yes—
175#2509C2212yes—
176#2508C2212yes—
177#2508C2212yes—
178#2508C2212yes—
179#2508C2214yes—
180#2507C2212yes—
181#2507C2212yes—
182#2507C2212yes—
183#2506C2212yes—
184#2506C2212yes—
185#2506C2214yes—
186#2506C2214yes—
187#2496C2212yes—
188#2496C2212yes—
189#2495C2212yes—
190#2494C2212yes—
191#2492C2212yes—
192#2489C2212yes—
193#2478C2214yes—
194#2478C2214yes—
195#2462C2214yes—
196#2462C2214yes—
197#2462C2214yes—
198#2462C2214yes—
199#2453C2212yes—
200#2453C2212yes—
201#2453C2212yes—
202#2453C2212yes—
203#2453C2214yes—
204#2451C2212yes—
205#2451C2212yes—
206#2451C2212yes—
207#2451C2212yes—
208#2446C2212yes—
209#2446C2212yes—
210#2446C2212yes—
211#2446C2212yes—
212#2446C2212yes—
213#2446C2212yes—
214#2423C2212yes—
215#2421C2212yes—
216#2383C2214yes—
217#2383C2214yes—
218#2373C2214yes—
219#2373C2214yes—
220#2371C2214yes—
221#2370C2212yes—
222#2370C2212yes—
223#2370C2212yes—
224#2370C2212yes—
225#2365C2211yescharacteristic
226#2365C2211yescharacteristic
227#2365C2212yes—
228#2365C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2212yes—
231#2365C2212yes—
232#2365C2212yes—
233#2356C2212yes—
234#2356C2212yes—
235#2356C2212yes—
236#2356C2212yes—
237#2356C2214yes—
238#2355C2211yescharacteristic
239#2355C2211yescharacteristic
240#2351C2212yes—
241#2351C2212yes—
242Q8×C4⋊C4C2211yescharacteristic
243Q8×C4⋊C4C2211yescharacteristic
244Q8×C4⋊C4C2212yes—
245Q8×C4⋊C4C2212yes—
246#2336C2214yes—
247#2336C2214yes—
248#2336C2214yes—
249#2330C2214yes—
250#2330C2214yes—
251#2323C2212yes—
252#2323C2212yes—
253#2320C2214yes—
254#2314C2212yes—
255C4×C4⋊Q8C2211yescharacteristic
256C4×C4⋊Q8C2211yescharacteristic
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2212yes—
261C4×C4⋊Q8C2211yescharacteristic
262C4×#125C2211yescharacteristic
263C4×#125C2212yes—
264C4×#125C2211yescharacteristic
265C4×#125C2211yescharacteristic
266C4×#125C2212yes—
267C4×#125C2212yes—
268C4×#125C2211yescharacteristic
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280#2296C2212yes—
281#2296C2212yes—
282#2296C2212yes—
283#2295C2212yes—
284#2295C2212yes—
285#2295C2212yes—
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2295C2211yescharacteristic
289#2295C2212yes—
290#2285C2211yescharacteristic
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2212yes—
294C42×Q8C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299#541—216no—
300#533—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2314yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×#117C2312yes—
348C2×#117C2312yes—
349C2×#117C2312yes—
350C2×#117C2312yes—
351C22×C42C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358#401C2314yes—
359#401C2314yes—
360#401C2314yes—
361#401C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#399C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#395C2314yes—
429#395C2314yes—
430#395C2314yes—
431#395C2314yes—
432#395C2314yes—
433#395C2314yes—
434#395C2314yes—
435#395C2314yes—
436#395C2314yes—
437#393C2314yes—
438#391C2312yes—
439#391C2312yes—
440#391C2312yes—
441#391C2314yes—
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2312yes—
447#391C2312yes—
448#391C2312yes—
449#391C2312yes—
450#391C2312yes—
451#391C2312yes—
452#391C2312yes—
453#391C2312yes—
454#391C2314yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2314yes—
459#391C2312yes—
460#391C2314yes—
461#391C2314yes—
462#391C2312yes—
463#391C2312yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2312yes—
472#389C2311yescharacteristic
473#389C2311yescharacteristic
474#389C2312yes—
475#389C2312yes—
476#389C2312yes—
477#389C2312yes—
478#389C2312yes—
479#389C2311yescharacteristic
480#389C2311yescharacteristic
481#389C2311yescharacteristic
482#389C2311yescharacteristic
483#389C2311yescharacteristic
484#389C2312yes—
485#389C2311yescharacteristic
486#389C2312yes—
487#389C2312yes—
488#389C2312yes—
489#389C2312yes—
490#389C2312yes—
491#389C2312yes—
492#389C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2311yescharacteristic
498#389C2314yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2314yes—
504#389C2314yes—
505#389C2314yes—
506#389C2314yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#387C2312yes—
563#387C2312yes—
564#387C2312yes—
565#387C2312yes—
566#387C2312yes—
567#387C2312yes—
568#387C2312yes—
569#387C2312yes—
570#387C2312yes—
571#387C2312yes—
572#387C2312yes—
573#387C2312yes—
574#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2312yes—
583#387C2312yes—
584#387C2314yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#385C2312yes—
657#385C2312yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2311yescharacteristic
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2312yes—
679#384C2312yes—
680#384C2314yes—
681#384C2311yescharacteristic
682#384C2314yes—
683#384C2311yescharacteristic
684#383C2314yes—
685#383C2314yes—
686#383C2314yes—
687#383C2314yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#382C2312yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2314yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#381C2314yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2311yescharacteristic
727#380C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796#376C2314yes—
797#376C2314yes—
798#376C2314yes—
799#376C2314yes—
800#376C2312yes—
801#376C2312yes—
802C43C2311yescharacteristic
803C43C2311yescharacteristic
804C43C2311yescharacteristic
805C43C2311yescharacteristic
806C43C2311yescharacteristic
807C43C2311yescharacteristic
808C43C2311yescharacteristic
809C43C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C22×Q8C2411yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2412yes—
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2414yes—
818C23×C4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C4⋊Q8—24no—
826C4⋊Q8—28no—
827C4⋊Q8—24no—
828C4⋊Q8—24no—
829C4⋊Q8—24no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833#126—216no—
834#126—216no—
835#125—28no—
836#125—28no—
837#125—216no—
838#125—216no—
839#125—24no—
840#125—24no—
841#125—28no—
842#125—42no—
843#125—44no—
844#125—42no—
845#125—44no—
846#125—48no—
847#125—44no—
848C22⋊Q8—24no—
849C22⋊Q8—28no—
850C22⋊Q8—28no—
851C22⋊Q8—44no—
852C22⋊Q8#4118yes—
853C4×Q8—24no—
854C4×Q8—28no—
855C4×Q8—24no—
856C4×Q8—28no—
857C4×Q8—28no—
858C4×Q8—28no—
859C4×Q8—28no—
860C4×Q8—24no—
861C4×Q8—24no—
862C4×Q8—44no—
863C4×Q8—48no—
864C4×Q8—42no—
865C4×Q8—44no—
866C4×Q8—42no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—44no—
870C4×Q8—44no—
871#117—28no—
872#117—28no—
873#117—44no—
874#117—44no—
875C2×C4⋊C4C2412yes—
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2412yes—
879C2×C4⋊C4C2411yescharacteristic
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2412yes—
883C2×C4⋊C4C2412yes—
884C2×C4⋊C4C2412yes—
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2412yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2414yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2414yes—
903C2×C4⋊C4C2414yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C42—24no—
980C2×C42—24no—
981C2×C42—24no—
982C2×C42—24no—
983C2×C42—42no—
984C2×C42—42no—
985C2×C42—42no—
986C2×C42C2412yes—
987C2×C42C2412yes—
988C2×C42C2412yes—
989C2×C42C2412yes—
990C2×C42C2412yes—
991C2×C42C2412yes—
992C2×C42C2412yes—
993C2×C42C2412yes—
994C2×C42C2412yes—
995C2×C42C2412yes—
996C2×C42C2411yescharacteristic
997C2×C42C2411yescharacteristic
998C2×C42C2411yescharacteristic
999C2×C42C2411yescharacteristic
1000C2×C42C2411yescharacteristic
1001C2×C42C2414yes—
1002C2×C42C2414yes—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2414yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2414yes—
1027C2×C42C2414yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2414yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2414yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2414yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132C24C2511yescharacteristic
1133C2×Q8—24no—
1134C2×Q8—22no—
1135C2×Q8—24no—
1136C2×Q8—22no—
1137C2×Q8—24no—
1138C2×Q8—22no—
1139C2×Q8—24no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—22no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—22no—
1146C2×Q8—42no—
1147C2×Q8—44no—
1148C2×Q8—44no—
1149C2×Q8—44no—
1150C2×Q8C2×#4114yes—
1151C22×C4—22no—
1152C22×C4—22no—
1153C22×C4—22no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4C2×#4114yes—
1172C22×C4C2511yescharacteristic
1173C22×C4C2514yes—
1174C22×C4C2512yes—
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2512yes—
1178C22×C4C2511yescharacteristic
1179C22×C4C2512yes—
1180C22×C4C2512yes—
1181C22×C4C2514yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2514yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2512yes—
1189C22×C4C2511yescharacteristic
1190C22×C4C2511yescharacteristic
1191C22×C4C2514yes—
1192C22×C4C2512yes—
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C22×C4C2511yescharacteristic
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—24no—
1209C4⋊C4—24no—
1210C4⋊C4—24no—
1211C4⋊C4—24no—
1212C4⋊C4—24no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—22no—
1216C4⋊C4—28no—
1217C4⋊C4—28no—
1218C4⋊C4—28no—
1219C4⋊C4—28no—
1220C4⋊C4—28no—
1221C4⋊C4—28no—
1222C4⋊C4—28no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—24no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—28no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—28no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—44no—
1269C4⋊C4—42no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4C2×#4114yes—
1299C4⋊C4C2×#4118yes—
1300C22⋊C4—24no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—28no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4C2×#4118yes—
1310C42—22no—
1311C42—22no—
1312C42—22no—
1313C42—22no—
1314C42—24no—
1315C42—24no—
1316C42—24no—
1317C42—24no—
1318C42—28no—
1319C42—28no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—22no—
1329C42—24no—
1330C42—24no—
1331C42—24no—
1332C42—28no—
1333C42—24no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—24no—
1341C42—24no—
1342C42—24no—
1343C42—24no—
1344C42—24no—
1345C42—24no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—42no—
1353C42—44no—
1354C42—42no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C42—44no—
1360C42—44no—
1361C422−1+414yes—
1362C422−1+414yes—
1363C422−1+414yes—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23C22×#4112yes—
1371C23C2611yescharacteristic
1372Q8—28no—
1373Q8—48no—
1374Q8—44no—
1375Q8—48no—
1376Q8—48no—
1377Q8—88no—
1378C2×C4—28no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—22no—
1389C2×C4—22no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—22no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—22no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—28no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—21no—
1403C2×C4—22no—
1404C2×C4—24no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—24no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—24no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—24no—
1429C2×C4—24no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—24no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—24no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4C22×#4114yes—
1472C2×C4C22×#4114yes—
1473C2×C4C22×#4112yes—
1474C2×C4C22×#4112yes—
1475C2×C4C2×2−1+412yes—
1476C2×C4C2×2−1+412yes—
1477C2×C4C2×2−1+412yes—
1478C2×C4C2×2−1+412yes—
1479C2×C4C2×2−1+412yes—
1480C2×C4C2×2−1+412yes—
1481C2×C4C2×2−1+412yes—
1482C2×C4C2×2−1+412yes—
1483C2×C4C2×2−1+412yes—
1484C2×C4#58512yes—
1485C2×C4#58512yes—
1486C2×C4#58512yes—
1487C22—22no—
1488C22—22no—
1489C22—22no—
1490C22—41no—
1491C22—41no—
1492C22—41no—
1493C22—41no—
1494C22C23×#4111yescharacteristic
1495C22C22×2−1+411yescharacteristic
1496C22C22×2−1+411yescharacteristic
1497C22C22×2−1+411yescharacteristic
1498C22C2×#58511yescharacteristic
1499C22C2×#58511yescharacteristic
1500C22C2×#58511yescharacteristic
1501C4—22no—
1502C4—24no—
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—24no—
1507C4—22no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—41no—
1512C4—44no—
1513C4—42no—
1514C4—42no—
1515C4—41no—
1516C4—41no—
1517C4—44no—
1518C4—42no—
1519C4—42no—
1520C4—42no—
1521C4—44no—
1522C4—42no—
1523C4—44no—
1524C4—42no—
1525C4—42no—
1526C4—42no—
1527C4—41no—
1528C4—42no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—42no—
1533C4#351514yes—
1534C4#355514yes—
1535C2—42no—
1536C2C2×#355511yescharacteristic
1537C2#6276211yescharacteristic
1538C2C2×#351511yescharacteristic
1539C2#6278811yescharacteristic
1540C2#6280511yescharacteristic
1541C2#6283711yescharacteristic
1542C2#6283711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC24C25
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59766C2semidirect
2. #59681C2semidirect
3. #59666C2semidirect
4. #59547C2semidirect
5. #59459C2semidirect
6. #59443C2semidirect
10. #40024C2semidirect
11. #39979C2semidirect
13. #39655C2semidirect
15. #39526C2semidirect
18. #38614C2semidirect
23. #37062C2semidirect
27. #36497C2semidirect
28. #36447C2semidirect
30. #36313C2semidirect
31. #36313C2semidirect
32. #35208C2semidirect
33. #35115C2semidirect

Maximal subgroups

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

subgroupindex
#597662
#596812
#596662
#595472
#594592
#594432
#457592
#456612
#456182
#400242
#399792
#397342
#396552
#396092
#395262
#394782
#393532
#386142
#379952
#379812
#377932
#375262
#370622
#366402
#366352
#365122
#364972
#364472
#363842
#363132
#352082
#351152
#344202
C4×#5332