Finite Group Databasebeta

← #8466877

Subgroups — #8466877

Order 512.

4094 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59457C211yesmaximal, characteristic, complemented
2#59262C211yesmaximal, characteristic, complemented
3#59242C211yesmaximal, characteristic, complemented
4#58089C214yesmaximal, complemented
5#55561C214yesmaximal, complemented
6#54554C214yesmaximal, complemented
7#53120C212yesmaximal, complemented
8#53084C212yesmaximal, complemented
9#48952C214yesmaximal, complemented
10#46049C212yesmaximal, complemented
11#45711C212yesmaximal, complemented
12#45231C212yesmaximal, complemented
13#45172C212yesmaximal, complemented
14#42781C212yesmaximal, complemented
15#42781C212yesmaximal, complemented
16#42755C212yesmaximal, complemented
17#42599C212yesmaximal, complemented
18#39758C212yesmaximal, complemented
19#39754C211yesmaximal, characteristic, complemented
20#39529C212yesmaximal, complemented
21#39182C211yesmaximal, characteristic, complemented
22#39152C212yesmaximal, complemented
23#39147C211yesmaximal, characteristic, complemented
24#39008C212yesmaximal, complemented
25#38941C211yesmaximal, characteristic, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37367C212yesmaximal, complemented
28#37293C212yesmaximal, complemented
29#36587C211yesmaximal, characteristic, complemented
30#36460C211yesmaximal, characteristic, complemented
31#36211C211yesmaximal, characteristic
32#35239C211yesmaximal, characteristic, complemented
33#35192C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34780C211yesmaximal, characteristic, complemented
36#2864C2212yes—
37#2862C2212yes—
38#2860C2212yes—
39#2859C2211yescharacteristic
40#2857C2212yes—
41#2856C2211yescharacteristic
42#2856C2211yescharacteristic
43#2851C2212yes—
44#2850C2212yes—
45#2832C2214yes—
46#2831C2214yes—
47#2831C2214yes—
48#2830C2214yes—
49#2830C2214yes—
50#2830C2214yes—
51#2826C2214yes—
52#2814C2214yes—
53#2805C2214yes—
54#2802C2214yes—
55#2798C2214yes—
56#2798C2214yes—
57#2787C2214yes—
58#2786C2214yes—
59#2783C2214yes—
60#2781C2214yes—
61#2780C2214yes—
62#2775C2214yes—
63#2775C2214yes—
64#2774C2214yes—
65#2772C2214yes—
66#2772C2214yes—
67#2772C2214yes—
68#2770C2214yes—
69#2769C2214yes—
70#2764C2214yes—
71#2764C2214yes—
72#2764C2214yes—
73#2759C2214yes—
74#2759C2214yes—
75#2757C2214yes—
76#2757C2214yes—
77#2757C2214yes—
78#2755C2214yes—
79#2751C2214yes—
80#2751C2214yes—
81#2747C2214yes—
82#2747C2214yes—
83#2746C2214yes—
84#2744C2214yes—
85#2743C2214yes—
86#2739C2214yes—
87#2737C2214yes—
88#2737C2214yes—
89#2728C2214yes—
90#2725C2214yes—
91#2715C2214yes—
92#2710C2214yes—
93#2707C2214yes—
94#2702C2214yes—
95#2701C2214yes—
96#2698C2214yes—
97#2698C2214yes—
98#2696C2214yes—
99#2692C2214yes—
100#2690C2214yes—
101#2686C2214yes—
102#2666C2214yes—
103#2665C2214yes—
104#2660C2212yes—
105#2654C2214yes—
106#2652C2214yes—
107#2652C2214yes—
108#2647C2212yes—
109#2644C2212yes—
110#2644C2214yes—
111#2644C2212yes—
112#2644C2212yes—
113#2640C2212yes—
114#2640C2212yes—
115#2640C2212yes—
116#2638C2214yes—
117#2630C2214yes—
118#2611C2214yes—
119#2605C2214yes—
120#2597C2214yes—
121#2584C2212yes—
122#2582C2211yescharacteristic
123#2581C2212yes—
124#2580C2212yes—
125#2573C2214yes—
126#2571C2212yes—
127#2571C2212yes—
128#2571C2211yescharacteristic
129#2571C2211yescharacteristic
130#2571C2211yescharacteristic
131#2571C2212yes—
132#2570C2212yes—
133#2570C2212yes—
134#2568C2212yes—
135#2566C2212yes—
136#2566C2212yes—
137#2566C2212yes—
138#2563C2212yes—
139#2559C2214yes—
140#2552C2211yescharacteristic
141#2552C2211yescharacteristic
142#2551C2211yescharacteristic
143#2551C2211yescharacteristic
144#2550C2212yes—
145#2550C2212yes—
146#2550C2212yes—
147#2548C2211yescharacteristic
148#2548C2211yescharacteristic
149#2538C2212yes—
150#2535C2212yes—
151#2533C2212yes—
152#2527C2214yes—
153#2527C2214yes—
154#2527C2212yes—
155#2527C2214yes—
156#2526C2214yes—
157#2524C2212yes—
158#2524C2214yes—
159#2523C2212yes—
160#2523C2214yes—
161#2523C2214yes—
162#2515C2212yes—
163#2514C2211yescharacteristic
164#2514C2212yes—
165#2514C2212yes—
166#2514C2211yescharacteristic
167#2513C2212yes—
168#2513C2212yes—
169#2513C2212yes—
170#2513C2212yes—
171#2513C2212yes—
172#2513C2212yes—
173#2512C2212yes—
174#2509C2211yescharacteristic
175#2508C2212yes—
176#2508C2212yes—
177#2508C2211yescharacteristic
178#2506C2212yes—
179#2506C2212yes—
180#2504C2212yes—
181#2503C2211yescharacteristic
182#2500C2212yes—
183#2499C2211yescharacteristic
184#2499C2212yes—
185#2496C2211yescharacteristic
186#2495C2212yes—
187#2495C2212yes—
188#2495C2212yes—
189#2495C2211yescharacteristic
190#2493C2214yes—
191#2493C2212yes—
192#2493C2214yes—
193#2492C2211yescharacteristic
194#2491C2212yes—
195#2491C2212yes—
196#2490C2212yes—
197#2490C2212yes—
198#2490C2212yes—
199#2489C2214yes—
200#2489C2211yescharacteristic
201#2489C2212yes—
202#2488C2214yes—
203#2486C2211yescharacteristic
204#2485C2211yescharacteristic
205#2466C2214yes—
206#2466C2212yes—
207#2454C2212yes—
208#2453C2212yes—
209#2453C2212yes—
210#2452C2212yes—
211#2452C2212yes—
212#2452C2212yes—
213#2450C2214yes—
214#2447C2212yes—
215#2447C2212yes—
216#2447C2214yes—
217#2447C2212yes—
218#2444C2214yes—
219#2442C2212yes—
220#2442C2211yescharacteristic
221#2440C2212yes—
222#2439C2212yes—
223#2439C2212yes—
224#2439C2211yescharacteristic
225#2439C2212yes—
226#2439C2212yes—
227#2438C2214yes—
228#2427C2212yes—
229#2426C2212yes—
230#2426C2212yes—
231#2423C2212yes—
232#2423C2212yes—
233#2422C2212yes—
234#2422C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2420C2212yes—
239#2419C2212yes—
240#2417C2211yescharacteristic
241#2415C2211yescharacteristic
242#2414C2212yes—
243#2414C2212yes—
244#2402C2212yes—
245#2401C2212yes—
246#2401C2212yes—
247#2398C2212yes—
248#2379C2214yes—
249#2370C2212yes—
250#2366C2211yescharacteristic
251#2366C2211yescharacteristic
252#2363C2212yes—
253#2363C2212yes—
254#2363C2212yes—
255#2361C2212yes—
256#2357C2212yes—
257#2357C2212yes—
258#2357C2212yes—
259#2356C2212yes—
260#2356C2212yes—
261#2355C2211yescharacteristic
262#2355C2211yescharacteristic
263Q8×C4⋊C4C2211yescharacteristic
264Q8×C4⋊C4C2211yescharacteristic
265#2349C2212yes—
266#2349C2212yes—
267#2347C2212yes—
268#2331C2212yes—
269#2331C2212yes—
270#2331C2212yes—
271#2331C2212yes—
272#2330C2212yes—
273#2330C2212yes—
274#2326C2212yes—
275#2319C2212yes—
276#2318C2214yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#126C2212yes—
281C4×#124C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#123C2212yes—
287C4×#121C2212yes—
288#2295C2211yescharacteristic
289#2295C2211yescharacteristic
290#2295C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×#127C2311yescharacteristic
305C2×#126C2312yes—
306C2×#126C2314yes—
307C2×#125C2311yescharacteristic
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#124C2312yes—
313C2×#124C2314yes—
314C2×#124C2312yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×C22⋊Q8C2311yescharacteristic
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2314yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×#121C2312yes—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2312yes—
338C2×C4×D4C2312yes—
339C2×C4×D4C2312yes—
340C2×C4×D4C2314yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2311yescharacteristic
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×#117C2312yes—
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2312yes—
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2311yescharacteristic
352C22×C42C2311yescharacteristic
353C22×C42C2311yescharacteristic
354C22×C42C2312yes—
355#401C2312yes—
356#401C2312yes—
357#401C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2312yes—
371#400C2314yes—
372#400C2312yes—
373#400C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2312yes—
378#400C2312yes—
379#400C2314yes—
380#400C2312yes—
381#400C2312yes—
382#400C2312yes—
383#400C2312yes—
384#400C2312yes—
385#400C2312yes—
386#399C2314yes—
387#399C2314yes—
388#398C2314yes—
389#398C2314yes—
390#398C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2312yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2312yes—
400#398C2312yes—
401#398C2312yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#397C2314yes—
406#397C2314yes—
407#397C2314yes—
408#397C2312yes—
409#397C2314yes—
410#397C2312yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#394C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2312yes—
480#392C2314yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2314yes—
484#391C2312yes—
485#391C2314yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2314yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2314yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2312yes—
529#390C2314yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2314yes—
551#389C2311yescharacteristic
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2311yescharacteristic
557#389C2314yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2314yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#383C2312yes—
689#383C2312yes—
690#383C2314yes—
691#383C2314yes—
692#383C2312yes—
693#383C2314yes—
694#383C2314yes—
695#383C2312yes—
696#383C2312yes—
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2314yes—
713#382C2311yescharacteristic
714#382C2312yes—
715#382C2312yes—
716#382C2312yes—
717#382C2311yescharacteristic
718#381C2314yes—
719#381C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2314yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2312yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2314yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2311yescharacteristic
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800#376C2312yes—
801#376C2312yes—
802#376C2312yes—
803#376C2312yes—
804#376C2312yes—
805#376C2314yes—
806C2×#95C2314yes—
807C2×#95C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2411yescharacteristic
812C22×Q8C2412yes—
813C22×Q8C2414yes—
814C22×Q8C2414yes—
815C22×D4C2412yes—
816C22×D4C2412yes—
817C22×D4C2411yescharacteristic
818C22×D4C2414yes—
819C22×D4C2412yes—
820C22×D4C2414yes—
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2414yes—
831C23×C4C2414yes—
832C4⋊Q8—44no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—42no—
837#127—24no—
838#126—44no—
839#126—84no—
840#125—44no—
841#125—42no—
842#125—44no—
843#125—44no—
844#125—84no—
845#124—44no—
846#124—44no—
847#124—48no—
848#123—44no—
849#123—84no—
850C22⋊Q8—42no—
851C22⋊Q8—42no—
852C22⋊Q8—42no—
853C22⋊Q8—42no—
854C22⋊Q8—84no—
855C22⋊Q8—84no—
856C22⋊Q8—84no—
857#121—44no—
858#121—44no—
859#121—44no—
860#121—44no—
861#121—44no—
862#121—82no—
863C4×Q8—24no—
864C4×Q8—24no—
865C4×Q8—44no—
866C4×Q8—44no—
867C4×Q8—44no—
868C4×D4—44no—
869C4×D4—44no—
870C4×D4—44no—
871C4×D4—44no—
872C4×D4—44no—
873C4×D4—44no—
874C4×D4—42no—
875C4×D4—42no—
876C4×D4—48no—
877C4×D4—42no—
878C4×D4—82no—
879#117—42no—
880#117—44no—
881#117—42no—
882#117—82no—
883C2×C4⋊C4—42no—
884C2×C4⋊C4—42no—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2411yescharacteristic
958C2×C22⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2414yes—
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2414yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2411yescharacteristic
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C42—24no—
1002C2×C42—24no—
1003C2×C42—44no—
1004C2×C42C2411yescharacteristic
1005C2×C42C2411yescharacteristic
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2414yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2412yes—
1042#95C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2412yes—
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129C24C2511yescharacteristic
1130C24C2514yes—
1131C24C2511yescharacteristic
1132C2×Q8—22no—
1133C2×Q8—22no—
1134C2×Q8—22no—
1135C2×Q8—22no—
1136C2×Q8—22no—
1137C2×Q8—22no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—42no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—44no—
1144C2×Q8—44no—
1145C2×Q8—44no—
1146C2×Q8—44no—
1147C2×D4—22no—
1148C2×D4—28no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—24no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—44no—
1161C2×D4—44no—
1162C2×D4—44no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C22×C4—22no—
1166C22×C4—24no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—41no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—42no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—44no—
1192C22×C4—44no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2514yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
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—42no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—42no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—44no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—44no—
1264C4⋊C4—44no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C22⋊C4—24no—
1302C22⋊C4—22no—
1303C22⋊C4—24no—
1304C22⋊C4—24no—
1305C22⋊C4—42no—
1306C22⋊C4—42no—
1307C22⋊C4—44no—
1308C22⋊C4—44no—
1309C22⋊C4—44no—
1310C22⋊C4—44no—
1311C22⋊C4—44no—
1312C22⋊C4—44no—
1313C22⋊C4—44no—
1314C22⋊C4—44no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—44no—
1320C22⋊C4—41no—
1321C22⋊C4—44no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—44no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—44no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—24no—
1353C42—24no—
1354C42—24no—
1355C42—24no—
1356C42—22no—
1357C42—22no—
1358C42—24no—
1359C42—22no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—22no—
1364C42—42no—
1365C42—42no—
1366C42—44no—
1367C42—42no—
1368C42—42no—
1369C42—44no—
1370C42—41no—
1371C42—44no—
1372C42—41no—
1373C42—44no—
1374C42—44no—
1375C42—44no—
1376C42—42no—
1377C42—42no—
1378C422−1+414yes—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—24no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—24no—
1391C23—24no—
1392C23—24no—
1393C23—24no—
1394C23—24no—
1395C23—21no—
1396C23—21no—
1397C23—24no—
1398C23—21no—
1399C23#58512yes—
1400C23C2611yescharacteristic
1401Q8—44no—
1402Q8—44no—
1403Q8—84no—
1404Q8—164no—
1405Q8—164no—
1406D4—44no—
1407D4—48no—
1408D4—48no—
1409D4—84no—
1410D4—88no—
1411D4—164no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
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—22no—
1429C2×C4—22no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—24no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—24no—
1463C2×C4—24no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—44no—
1505C2×C4—44no—
1506C2×C4—82no—
1507C2×C4—84no—
1508C2×C4—84no—
1509C2×C4—164no—
1510C2×C4—164no—
1511C2×C4—164no—
1512C2×C4C2×2−1+412yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4C2×2−1+412yes—
1515C2×C4#58512yes—
1516C2×C4#58512yes—
1517C2×C4#58512yes—
1518C2×C4#58512yes—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—44no—
1529C22—44no—
1530C22—44no—
1531C22—41no—
1532C22—44no—
1533C22—41no—
1534C22—41no—
1535C22—44no—
1536C22—44no—
1537C22—44no—
1538C22—41no—
1539C22—41no—
1540C22C22×2−1+411yescharacteristic
1541C22C2×#58511yescharacteristic
1542C22C2×#58511yescharacteristic
1543C22C2×#58511yescharacteristic
1544C22C2×#58511yescharacteristic
1545C22C2×#58511yescharacteristic
1546C22H(7,𝔽2)11yescharacteristic
1547C4—22no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—42no—
1553C4—42no—
1554C4—41no—
1555C4—44no—
1556C4—42no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—41no—
1563C4—42no—
1564C4—42no—
1565C4—41no—
1566C4—41no—
1567C4—42no—
1568C4—42no—
1569C4—42no—
1570C4—41no—
1571C4—42no—
1572C4—44no—
1573C4—44no—
1574C4—42no—
1575C4—41no—
1576C4—42no—
1577C4#356514yes—
1578C4#356514yes—
1579C2—42no—
1580C2—81no—
1581C2—84no—
1582C2C2×#356511yescharacteristic
1583C2C2×#356511yescharacteristic
1584C2#6282711yescharacteristic
1585C2#6295811yescharacteristic
1586C2#6296611yescharacteristic
1587C2#6296611yescharacteristic
1588C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36211C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59457C2semidirect
2. #59262C2semidirect
3. #59242C2semidirect
4. #58089C2semidirect
5. #55561C2semidirect
6. #54554C2semidirect
7. #53120C2semidirect
8. #53084C2semidirect
9. #48952C2semidirect
10. #46049C2semidirect
11. #45711C2semidirect
12. #45231C2semidirect
13. #45172C2semidirect
14. #42781C2semidirect
15. #42781C2semidirect
16. #42755C2semidirect
17. #42599C2semidirect
18. #39758C2semidirect
19. #39754C2semidirect
20. #39529C2semidirect
21. #39182C2semidirect
22. #39152C2semidirect
23. #39147C2semidirect
24. #39008C2semidirect
25. #38941C2semidirect
26. #37629C2semidirect
27. #37367C2semidirect
28. #37293C2semidirect
29. #36587C2semidirect
30. #36460C2semidirect
32. #35239C2semidirect
33. #35192C2semidirect
34. #34803C2semidirect
35. #34780C2semidirect

Maximal subgroups

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

subgroupindex
#594572
#592622
#592422
#580892
#555612
#545542
#531202
#530842
#489522
#460492
#457112
#452312
#451722
#427812
#427552
#425992
#397582
#397542
#395292
#391822
#391522
#391472
#390082
#389412
#376292
#373672
#372932
#365872
#364602
#362112
#352392
#351922
#348032
#347802