Finite Group Databasebeta

← #8463281

Subgroups — #8463281

Order 512.

4233 conjugacy classes of subgroups.

The subgroup lattice has 1561 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59828C211yesmaximal, characteristic, complemented
2#59457C211yesmaximal, characteristic
3#59456C211yesmaximal, characteristic, complemented
4#56455C214yesmaximal, complemented
5#55530C214yesmaximal, complemented
6#54319C214yesmaximal, complemented
7#53114C212yesmaximal, complemented
8#53037C212yesmaximal, complemented
9#48353C214yesmaximal, complemented
10#46347C212yesmaximal, complemented
11#46057C212yesmaximal, complemented
12#45429C212yesmaximal, complemented
13#45370C212yesmaximal, complemented
14#42884C212yesmaximal, complemented
15#42721C212yesmaximal, complemented
16#42509C212yesmaximal, complemented
17#42493C212yesmaximal, complemented
18#39997C212yesmaximal, complemented
19#39782C212yesmaximal, complemented
20#39771C211yesmaximal, characteristic
21#39771C211yesmaximal, characteristic
22#39641C211yesmaximal, characteristic, complemented
23#39162C212yesmaximal, complemented
24#38987C211yesmaximal, characteristic
25#38224C212yesmaximal, complemented
26#37630C211yesmaximal, characteristic, complemented
27#37367C212yesmaximal, complemented
28#37352C212yesmaximal, complemented
29#36598C211yesmaximal, characteristic, complemented
30#36594C211yesmaximal, characteristic
31#36271C211yesmaximal, characteristic
32#35187C211yesmaximal, characteristic, complemented
33#35186C211yesmaximal, characteristic
34#34950C211yesmaximal, characteristic, complemented
35#34920C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#556C2212yes—
38C2×#556C2212yes—
39#2868C2211yescharacteristic
40#2864C2212yes—
41#2863C2212yes—
42#2862C2212yes—
43#2861C2212yes—
44#2860C2212yes—
45#2860C2212yes—
46#2858C2211yescharacteristic
47#2858C2211yescharacteristic
48#2841C2214yes—
49#2839C2214yes—
50#2836C2214yes—
51#2836C2214yes—
52#2834C2214yes—
53#2831C2214yes—
54#2831C2214yes—
55#2821C2214yes—
56#2807C2214yes—
57#2798C2214yes—
58#2796C2214yes—
59#2796C2214yes—
60#2791C2214yes—
61#2791C2214yes—
62#2788C2214yes—
63#2787C2214yes—
64#2786C2214yes—
65#2783C2214yes—
66#2783C2214yes—
67#2780C2214yes—
68#2777C2214yes—
69#2775C2214yes—
70#2772C2214yes—
71#2772C2214yes—
72#2768C2214yes—
73#2765C2214yes—
74#2765C2214yes—
75#2763C2214yes—
76#2759C2214yes—
77#2755C2214yes—
78#2754C2214yes—
79#2751C2214yes—
80#2751C2214yes—
81#2747C2214yes—
82#2747C2214yes—
83#2744C2214yes—
84#2740C2214yes—
85#2739C2214yes—
86#2739C2214yes—
87#2738C2214yes—
88#2729C2214yes—
89#2729C2214yes—
90#2729C2214yes—
91#2726C2214yes—
92#2725C2214yes—
93#2725C2214yes—
94#2722C2214yes—
95#2722C2214yes—
96#2721C2214yes—
97#2721C2214yes—
98#2716C2214yes—
99#2704C2214yes—
100#2698C2214yes—
101#2698C2214yes—
102#2698C2214yes—
103#2690C2214yes—
104#2690C2214yes—
105#2664C2214yes—
106#2655C2214yes—
107#2655C2214yes—
108#2652C2214yes—
109#2651C2214yes—
110#2647C2212yes—
111#2647C2212yes—
112#2646C2214yes—
113#2645C2212yes—
114#2645C2212yes—
115#2644C2212yes—
116#2642C2212yes—
117#2640C2212yes—
118#2640C2212yes—
119#2637C2214yes—
120#2628C2214yes—
121#2601C2214yes—
122#2599C2214yes—
123#2594C2214yes—
124#2592C2212yes—
125#2592C2212yes—
126#2592C2212yes—
127#2590C2212yes—
128#2588C2212yes—
129#2586C2212yes—
130#2586C2212yes—
131#2585C2214yes—
132#2584C2212yes—
133#2584C2211yescharacteristic
134#2582C2212yes—
135#2582C2211yescharacteristic
136#2582C2211yescharacteristic
137#2582C2212yes—
138#2581C2211yescharacteristic
139#2580C2212yes—
140#2580C2212yes—
141#2580C2212yes—
142#2573C2214yes—
143#2571C2211yescharacteristic
144#2571C2212yes—
145#2570C2214yes—
146#2568C2211yescharacteristic
147#2568C2211yescharacteristic
148#2567C2211yescharacteristic
149#2567C2211yescharacteristic
150#2566C2212yes—
151#2566C2212yes—
152#2565C2211yescharacteristic
153#2565C2212yes—
154#2560C2214yes—
155#2552C2211yescharacteristic
156#2552C2211yescharacteristic
157#2551C2211yescharacteristic
158#2550C2211yescharacteristic
159#2548C2211yescharacteristic
160#2548C2211yescharacteristic
161#2547C2212yes—
162#2547C2212yes—
163#2546C2212yes—
164#2546C2211yescharacteristic
165#2546C2212yes—
166#2546C2211yescharacteristic
167#2546C2212yes—
168#2545C2212yes—
169#2545C2212yes—
170#2545C2212yes—
171#2545C2212yes—
172#2538C2212yes—
173#2538C2212yes—
174#2538C2212yes—
175#2524C2214yes—
176#2520C2212yes—
177#2514C2212yes—
178#2514C2212yes—
179#2513C2212yes—
180#2513C2212yes—
181#2513C2212yes—
182#2512C2212yes—
183#2512C2212yes—
184#2512C2212yes—
185#2512C2212yes—
186#2512C2212yes—
187#2512C2212yes—
188#2511C2212yes—
189#2511C2214yes—
190#2509C2212yes—
191#2508C2212yes—
192#2508C2211yescharacteristic
193#2508C2212yes—
194#2507C2212yes—
195#2507C2212yes—
196#2507C2212yes—
197#2507C2212yes—
198#2507C2211yescharacteristic
199#2507C2211yescharacteristic
200#2506C2212yes—
201#2506C2211yescharacteristic
202#2506C2212yes—
203#2493C2214yes—
204#2478C2214yes—
205#2478C2214yes—
206#2475C2214yes—
207#2475C2214yes—
208#2469C2214yes—
209#2469C2214yes—
210#2468C2214yes—
211#2462C2212yes—
212#2454C2212yes—
213#2454C2212yes—
214#2454C2212yes—
215#2453C2211yescharacteristic
216#2453C2212yes—
217#2453C2212yes—
218#2453C2212yes—
219#2453C2212yes—
220#2452C2212yes—
221#2452C2212yes—
222#2451C2211yescharacteristic
223#2451C2212yes—
224#2451C2211yescharacteristic
225#2451C2212yes—
226#2451C2211yescharacteristic
227#2450C2214yes—
228#2448C2212yes—
229#2448C2212yes—
230#2448C2212yes—
231#2448C2212yes—
232#2447C2212yes—
233#2447C2212yes—
234#2447C2212yes—
235#2447C2212yes—
236#2447C2212yes—
237#2447C2212yes—
238#2446C2212yes—
239#2446C2212yes—
240#2446C2212yes—
241#2446C2212yes—
242#2446C2212yes—
243#2446C2212yes—
244#2446C2214yes—
245#2438C2214yes—
246#2438C2214yes—
247#2402C2212yes—
248#2399C2212yes—
249#2399C2212yes—
250#2399C2212yes—
251#2378C2214yes—
252#2367C2212yes—
253#2366C2211yescharacteristic
254#2366C2211yescharacteristic
255#2365C2211yescharacteristic
256#2365C2211yescharacteristic
257#2365C2211yescharacteristic
258#2365C2211yescharacteristic
259#2355C2212yes—
260#2355C2212yes—
261#2355C2212yes—
262#2354C2212yes—
263#2354C2212yes—
264#2351C2212yes—
265Q8×C4⋊C4C2212yes—
266#2349C2212yes—
267#2349C2212yes—
268#2334C2214yes—
269#2330C2212yes—
270#2327C2212yes—
271#2326C2212yes—
272#2326C2212yes—
273#2326C2212yes—
274#2320C2212yes—
275#2319C2212yes—
276#2319C2212yes—
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2212yes—
283C4×C4⋊Q8C2211yescharacteristic
284C4×C4⋊Q8C2211yescharacteristic
285C4×#127C2211yescharacteristic
286C4×#125C2211yescharacteristic
287C4×#125C2211yescharacteristic
288C4×#125C2212yes—
289#2295C2211yescharacteristic
290#2295C2212yes—
291#2295C2211yescharacteristic
292#2295C2211yescharacteristic
293#2295C2212yes—
294#2295C2211yescharacteristic
295#2293C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×Q8C2211yescharacteristic
299#557—48no—
300#556—48no—
301#556—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×#117C2314yes—
364C2×#117C2314yes—
365#401C2314yes—
366#401C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2312yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2312yes—
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2312yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2312yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#395C2312yes—
471#395C2312yes—
472#395C2312yes—
473#395C2312yes—
474#395C2312yes—
475#395C2312yes—
476#395C2314yes—
477#395C2312yes—
478#395C2312yes—
479#395C2312yes—
480#395C2312yes—
481#395C2312yes—
482#395C2312yes—
483#394C2314yes—
484#394C2314yes—
485#393C2314yes—
486#393C2314yes—
487#393C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2314yes—
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2314yes—
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#389C2311yescharacteristic
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2311yescharacteristic
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2314yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2314yes—
612#389C2314yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2312yes—
699#387C2312yes—
700#386C2314yes—
701#386C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#384C2312yes—
730#383C2314yes—
731#383C2314yes—
732#382C2311yescharacteristic
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2314yes—
740#382C2314yes—
741#382C2314yes—
742#382C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807C2×#95C2314yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C23×C4C2414yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C4⋊Q8—24no—
829C4⋊Q8—24no—
830C4⋊Q8—24no—
831C4⋊Q8—42no—
832C4⋊Q8—42no—
833C4⋊Q8—42no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—48no—
839C4⋊Q8—44no—
840#127—24no—
841#126—48no—
842#126—48no—
843#126—48no—
844#126—48no—
845#126—48no—
846#125—24no—
847#125—42no—
848#125—44no—
849#125—44no—
850#125—44no—
851#125—48no—
852#125—48no—
853#124—28no—
854#124—44no—
855#124—44no—
856#124—44no—
857#124—44no—
858#124—44no—
859C22⋊Q8—48no—
860C22⋊Q8—48no—
861C22⋊Q8—48no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×Q8—28no—
865C4×Q8—28no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—24no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×Q8—42no—
874C4×Q8—44no—
875C4×Q8—42no—
876C4×Q8—42no—
877C4×Q8—44no—
878C4×Q8—44no—
879C4×Q8—48no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×D4—28no—
883C4×D4—44no—
884C4×D4—44no—
885C4×D4—44no—
886C4×D4—44no—
887C4×D4—44no—
888C4×D4—44no—
889#117—48no—
890#117—48no—
891C2×C4⋊C4C2411yescharacteristic
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C42C2412yes—
1011C2×C42C2414yes—
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2411yescharacteristic
1031C2×C42C2412yes—
1032C2×C42C2411yescharacteristic
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051#95C2412yes—
1052#95C2412yes—
1053#95C2414yes—
1054#95C2414yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2411yescharacteristic
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139C24C2514yes—
1140C2×Q8—24no—
1141C2×Q8—22no—
1142C2×Q8—22no—
1143C2×Q8—24no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—24no—
1156C2×Q8—24no—
1157C2×Q8—42no—
1158C2×Q8—41no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—42no—
1162C2×Q8—42no—
1163C2×Q8—42no—
1164C2×Q8—42no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×D4—24no—
1168C2×D4—24no—
1169C2×D4—24no—
1170C2×D4—24no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C22×C4—28no—
1177C22×C4—44no—
1178C22×C4—44no—
1179C22×C4—44no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4C2512yes—
1186C22×C4C2511yescharacteristic
1187C22×C4C2511yescharacteristic
1188C22×C4C2512yes—
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2514yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2512yes—
1202C22×C4C2514yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2511yescharacteristic
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C4⋊C4—22no—
1220C4⋊C4—24no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—28no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
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—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—42no—
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—44no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—41no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C22⋊C4—28no—
1314C22⋊C4—28no—
1315C22⋊C4—28no—
1316C22⋊C4—28no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C42—24no—
1339C42—28no—
1340C42—22no—
1341C42—24no—
1342C42—22no—
1343C42—24no—
1344C42—22no—
1345C42—24no—
1346C42—24no—
1347C42—24no—
1348C42—22no—
1349C42—22no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—22no—
1354C42—24no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—24no—
1360C42—22no—
1361C42—41no—
1362C42—42no—
1363C42—41no—
1364C42—41no—
1365C42—42no—
1366C42—44no—
1367C42—44no—
1368C42—41no—
1369C42—41no—
1370C42—42no—
1371C42—42no—
1372C42—44no—
1373C42—44no—
1374C42—44no—
1375C42—42no—
1376C42H(5,𝔽2)14yes—
1377C422−1+414yes—
1378C422−1+414yes—
1379C23—24no—
1380C23—24no—
1381C23—24no—
1382C23—24no—
1383C23—24no—
1384C23—24no—
1385C23—24no—
1386C23C2611yescharacteristic
1387Q8—44no—
1388Q8—48no—
1389Q8—48no—
1390Q8—44no—
1391Q8—48no—
1392Q8—44no—
1393Q8—84no—
1394Q8—84no—
1395Q8—84no—
1396D4—48no—
1397D4—48no—
1398D4—84no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—22no—
1415C2×C4—24no—
1416C2×C4—24no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—22no—
1424C2×C4—22no—
1425C2×C4—22no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—24no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—88no—
1490C2×C4—88no—
1491C2×C4—164no—
1492C2×C4C2×H(5,𝔽2)12yes—
1493C2×C4C2×H(5,𝔽2)12yes—
1494C2×C4C2×H(5,𝔽2)12yes—
1495C2×C4C2×2−1+412yes—
1496C2×C4C2×2−1+412yes—
1497C2×C4C2×2−1+412yes—
1498C2×C4C2×2−1+412yes—
1499C2×C4C2×2−1+412yes—
1500C2×C4C2×2−1+412yes—
1501C2×C4#58512yes—
1502C2×C4#58512yes—
1503C2×C4#58512yes—
1504C22—44no—
1505C22—44no—
1506C22—44no—
1507C22—44no—
1508C22—44no—
1509C22—44no—
1510C22—44no—
1511C22C22×H(5,𝔽2)11yescharacteristic
1512C22C22×2−1+411yescharacteristic
1513C22C22×2−1+411yescharacteristic
1514C22C2×#58511yescharacteristic
1515C22C2×#58511yescharacteristic
1516C22C2×#58511yescharacteristic
1517C222−1+611yescharacteristic
1518C4—22no—
1519C4—22no—
1520C4—22no—
1521C4—22no—
1522C4—22no—
1523C4—22no—
1524C4—44no—
1525C4—42no—
1526C4—44no—
1527C4—42no—
1528C4—41no—
1529C4—42no—
1530C4—42no—
1531C4—42no—
1532C4—41no—
1533C4—42no—
1534C4—42no—
1535C4—42no—
1536C4—44no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—41no—
1548C4—41no—
1549C4—42no—
1550C4#355414yes—
1551C4#355514yes—
1552C2—84no—
1553C2C2×#355411yescharacteristic
1554C2C2×#355511yescharacteristic
1555C2#6283511yescharacteristic
1556C2#6292511yescharacteristic
1557C2#6293211yescharacteristic
1558C2#6295611yescharacteristic
1559C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#127C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59828C2semidirect
3. #59456C2semidirect
4. #56455C2semidirect
5. #55530C2semidirect
6. #54319C2semidirect
7. #53114C2semidirect
8. #53037C2semidirect
9. #48353C2semidirect
10. #46347C2semidirect
11. #46057C2semidirect
12. #45429C2semidirect
13. #45370C2semidirect
14. #42884C2semidirect
15. #42721C2semidirect
16. #42509C2semidirect
17. #42493C2semidirect
18. #39997C2semidirect
19. #39782C2semidirect
22. #39641C2semidirect
23. #39162C2semidirect
25. #38224C2semidirect
26. #37630C2semidirect
27. #37367C2semidirect
28. #37352C2semidirect
29. #36598C2semidirect
32. #35187C2semidirect
34. #34950C2semidirect
35. #34920C2semidirect

Maximal subgroups

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

subgroupindex
#598282
#594572
#594562
#564552
#555302
#543192
#531142
#530372
#483532
#463472
#460572
#454292
#453702
#428842
#427212
#425092
#424932
#399972
#397822
#397712
#396412
#391622
#389872
#382242
#376302
#373672
#373522
#365982
#365942
#362712
#351872
#351862
#349502
#349202