Finite Group Databasebeta

← #8459232

Subgroups — #8459232

Order 512.

4235 conjugacy classes of subgroups.

The subgroup lattice has 1567 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59464C211yesmaximal, characteristic, complemented
2#59329C211yesmaximal, characteristic, complemented
3#59322C211yesmaximal, characteristic, complemented
4#58980C214yesmaximal, complemented
5#58903C214yesmaximal, complemented
6#58666C214yesmaximal, complemented
7#53038C212yesmaximal, complemented
8#53002C212yesmaximal, complemented
9#50139C214yesmaximal
10#46181C212yesmaximal, complemented
11#46006C212yesmaximal, complemented
12#45177C212yesmaximal
13#44917C212yesmaximal
14#42772C212yesmaximal, complemented
15#42587C212yesmaximal, complemented
16#42452C212yesmaximal
17#42436C212yesmaximal
18#39979C212yesmaximal, complemented
19#39753C211yesmaximal, characteristic, complemented
20#39642C212yesmaximal, complemented
21#39625C211yesmaximal, characteristic, complemented
22#39478C211yesmaximal, characteristic, complemented
23#39353C211yesmaximal, characteristic, complemented
24#38263C212yesmaximal, complemented
25#38261C212yesmaximal, complemented
26#37630C211yesmaximal, characteristic, complemented
27#37392C212yesmaximal, complemented
28#37312C212yesmaximal, complemented
29#36314C211yesmaximal, characteristic, complemented
30#36288C211yesmaximal, characteristic, complemented
31#36180C211yesmaximal, characteristic
32#35286C211yesmaximal, characteristic, complemented
33#35275C211yesmaximal, characteristic, complemented
34#34793C211yesmaximal, characteristic
35#34793C211yesmaximal, characteristic
36C2×#554C2212yes—
37C2×#544C2212yes—
38C2×#541C2212yes—
39#2868C2211yescharacteristic
40#2868C2212yes—
41#2864C2212yes—
42#2862C2212yes—
43#2859C2212yes—
44#2859C2212yes—
45#2859C2212yes—
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2844C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2839C2214yes—
52#2835C2214yes—
53#2833C2214yes—
54#2833C2214yes—
55#2817C2214yes—
56#2805C2214yes—
57#2802C2214yes—
58#2794C2214yes—
59#2792C2214yes—
60#2792C2214yes—
61#2792C2214yes—
62#2791C2214yes—
63#2791C2214yes—
64#2790C2214yes—
65#2787C2214yes—
66#2774C2214yes—
67#2774C2214yes—
68#2774C2214yes—
69#2774C2214yes—
70#2771C2214yes—
71#2770C2214yes—
72#2767C2214yes—
73#2767C2214yes—
74#2767C2214yes—
75#2766C2214yes—
76#2765C2214yes—
77#2747C2214yes—
78#2734C2214yes—
79#2734C2214yes—
80#2729C2214yes—
81#2726C2214yes—
82#2722C2214yes—
83#2720C2214yes—
84#2719C2214yes—
85#2719C2214yes—
86#2719C2214yes—
87#2719C2214yes—
88#2719C2214yes—
89#2713C2214yes—
90#2713C2214yes—
91#2713C2214yes—
92#2713C2214yes—
93#2713C2214yes—
94#2713C2214yes—
95#2713C2214yes—
96#2698C2214yes—
97#2698C2214yes—
98#2698C2214yes—
99#2690C2214yes—
100#2690C2214yes—
101#2689C2214yes—
102#2689C2214yes—
103#2689C2214yes—
104#2677C2214yes—
105#2666C2214yes—
106#2660C2212yes—
107#2660C2214yes—
108#2660C2212yes—
109#2655C2214yes—
110#2652C2214yes—
111#2647C2214yes—
112#2647C2214yes—
113#2647C2212yes—
114#2645C2212yes—
115#2645C2212yes—
116#2642C2212yes—
117#2638C2214yes—
118#2625C2212yes—
119#2625C2212yes—
120#2621C2214yes—
121#2612C2214yes—
122#2612C2214yes—
123#2611C2214yes—
124#2606C2214yes—
125#2588C2214yes—
126#2583C2214yes—
127#2582C2211yescharacteristic
128#2574C2214yes—
129#2571C2212yes—
130#2571C2211yescharacteristic
131#2571C2211yescharacteristic
132#2570C2212yes—
133#2570C2212yes—
134#2570C2212yes—
135#2568C2212yes—
136#2568C2211yescharacteristic
137#2567C2212yes—
138#2567C2212yes—
139#2567C2212yes—
140#2567C2212yes—
141#2565C2212yes—
142#2565C2212yes—
143#2552C2212yes—
144#2552C2212yes—
145#2552C2211yescharacteristic
146#2552C2212yes—
147#2552C2212yes—
148#2552C2212yes—
149#2552C2212yes—
150#2552C2211yescharacteristic
151#2552C2211yescharacteristic
152#2551C2212yes—
153#2551C2211yescharacteristic
154#2551C2212yes—
155#2551C2212yes—
156#2551C2211yescharacteristic
157#2550C2212yes—
158#2550C2212yes—
159#2550C2212yes—
160#2546C2211yescharacteristic
161#2533C2214yes—
162#2530C2214yes—
163#2530C2212yes—
164#2530C2212yes—
165#2530C2214yes—
166#2528C2212yes—
167#2528C2212yes—
168#2528C2214yes—
169#2517C2212yes—
170#2517C2212yes—
171#2511C2212yes—
172#2511C2212yes—
173#2511C2212yes—
174#2511C2212yes—
175#2511C2212yes—
176#2511C2211yescharacteristic
177#2511C2212yes—
178#2511C2211yescharacteristic
179#2509C2212yes—
180#2509C2212yes—
181#2508C2212yes—
182#2508C2212yes—
183#2508C2212yes—
184#2507C2212yes—
185#2507C2212yes—
186#2507C2212yes—
187#2506C2212yes—
188#2506C2214yes—
189#2506C2214yes—
190#2506C2211yescharacteristic
191#2506C2211yescharacteristic
192#2506C2212yes—
193#2503C2212yes—
194#2503C2212yes—
195#2502C2212yes—
196#2502C2212yes—
197#2499C2211yescharacteristic
198#2499C2212yes—
199#2499C2211yescharacteristic
200#2496C2212yes—
201#2496C2212yes—
202#2495C2212yes—
203#2494C2211yescharacteristic
204#2494C2211yescharacteristic
205#2492C2212yes—
206#2489C2211yescharacteristic
207#2489C2212yes—
208#2489C2214yes—
209#2489C2211yescharacteristic
210#2485C2211yescharacteristic
211#2485C2211yescharacteristic
212#2484C2214yes—
213#2475C2214yes—
214#2468C2214yes—
215#2466C2214yes—
216#2460C2212yes—
217#2460C2212yes—
218#2453C2212yes—
219#2453C2212yes—
220#2453C2212yes—
221#2451C2212yes—
222#2451C2212yes—
223#2451C2212yes—
224#2446C2212yes—
225#2446C2212yes—
226#2442C2212yes—
227#2442C2212yes—
228#2442C2214yes—
229#2441C2211yescharacteristic
230#2441C2211yescharacteristic
231#2440C2212yes—
232#2440C2212yes—
233#2440C2212yes—
234#2440C2212yes—
235#2440C2212yes—
236#2440C2212yes—
237#2440C2212yes—
238#2440C2214yes—
239#2440C2212yes—
240#2439C2212yes—
241#2429C2212yes—
242#2421C2212yes—
243#2421C2212yes—
244#2415C2214yes—
245#2415C2211yescharacteristic
246#2415C2211yescharacteristic
247#2401C2212yes—
248#2401C2212yes—
249#2395C2212yes—
250#2395C2212yes—
251#2382C2214yes—
252#2369C2212yes—
253#2369C2212yes—
254#2365C2211yescharacteristic
255#2365C2211yescharacteristic
256#2362C2212yes—
257#2360C2212yes—
258#2360C2212yes—
259#2356C2212yes—
260#2355C2211yescharacteristic
261#2355C2211yescharacteristic
262#2351C2212yes—
263Q8×C4⋊C4C2211yescharacteristic
264Q8×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2212yes—
266D4×C4⋊C4C2212yes—
267#2346C2212yes—
268#2344C2212yes—
269#2344C2212yes—
270#2331C2212yes—
271#2330C2212yes—
272#2330C2214yes—
273#2317C2212yes—
274#2317C2212yes—
275#2316C2212yes—
276#2314C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#125C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286#2298C2212yes—
287#2298C2212yes—
288#2295C2212yes—
289#2295C2211yescharacteristic
290#2295C2212yes—
291#2295C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295C2×#384C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#554—48no—
300#544—48no—
301#541—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2314yes—
351C2×#117C2312yes—
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2312yes—
355C2×#117C2311yescharacteristic
356C2×#117C2311yescharacteristic
357C2×#117C2314yes—
358C22×C4⋊C4C2312yes—
359C22×C4⋊C4C2312yes—
360C22×C4⋊C4C2312yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C42C2311yescharacteristic
365C22×C42C2311yescharacteristic
366#401C2312yes—
367#401C2312yes—
368#401C2314yes—
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#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#399C2312yes—
411#399C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#396C2314yes—
468#396C2312yes—
469#396C2312yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#393C2314yes—
492#391C2312yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2314yes—
512#391C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
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#387C2312yes—
636#387C2312yes—
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#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2314yes—
704#384C2314yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2311yescharacteristic
708#384C2312yes—
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2312yes—
712#383C2314yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2314yes—
725#382C2314yes—
726#382C2314yes—
727#382C2314yes—
728#382C2314yes—
729#382C2314yes—
730#382C2312yes—
731#382C2312yes—
732#381C2314yes—
733#381C2314yes—
734#381C2314yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2314yes—
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2411yescharacteristic
816C22×Q8C2414yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×D4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2414yes—
828C4⋊Q8—24no—
829C4⋊Q8—44no—
830C4⋊Q8—44no—
831C4⋊Q8—44no—
832C4⋊Q8—44no—
833C4⋊Q8—48no—
834C4⋊Q8—44no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837C4⋊Q8—84no—
838C4⋊Q8—82no—
839C4⋊Q8—84no—
840#126—48no—
841#126—48no—
842#125—24no—
843#125—28no—
844#125—28no—
845#125—42no—
846#125—44no—
847#125—44no—
848#125—44no—
849#125—48no—
850#125—48no—
851#125—48no—
852#125—48no—
853#125—84no—
854#125—84no—
855C22⋊Q8—24no—
856C22⋊Q8—28no—
857C22⋊Q8—24no—
858C22⋊Q8—24no—
859C22⋊Q8—48no—
860C22⋊Q8—48no—
861C22⋊Q8—48no—
862C22⋊Q8—48no—
863C22⋊Q8—42no—
864C22⋊Q8—44no—
865C22⋊Q8—84no—
866C4×Q8—28no—
867C4×Q8—24no—
868C4×Q8—24no—
869C4×Q8—44no—
870C4×Q8—44no—
871C4×Q8—44no—
872C4×Q8—44no—
873C4×D4—24no—
874C4×D4—24no—
875C4×D4—24no—
876C4×D4—48no—
877#117—28no—
878#117—24no—
879#117—28no—
880#117—24no—
881#117—24no—
882#117—42no—
883#117—84no—
884C2×C4⋊C4—28no—
885C2×C4⋊C4—44no—
886C2×C4⋊C4—44no—
887C2×C4⋊C4—44no—
888C2×C4⋊C4—82no—
889C2×C4⋊C4—82no—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2414yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C42—24no—
1009C2×C42—24no—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046#95C2412yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2414yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2411yescharacteristic
1074#95C2411yescharacteristic
1075#95C2411yescharacteristic
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
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—
1139#95C2414yes—
1140C24C2511yescharacteristic
1141C24C2511yescharacteristic
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—44no—
1152C2×Q8—44no—
1153C2×Q8—44no—
1154C2×Q8—44no—
1155C2×Q8—44no—
1156C2×Q8—44no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—28no—
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—41no—
1179C22×C4—41no—
1180C22×C4—44no—
1181C22×C4—44no—
1182C22×C4—44no—
1183C22×C4—44no—
1184C22×C4—44no—
1185C22×C4H(5,𝔽2)14yes—
1186C22×C42−1+414yes—
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2511yescharacteristic
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2512yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2514yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2514yes—
1207C22×C4C2514yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2511yescharacteristic
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2511yescharacteristic
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C4⋊C4—24no—
1221C4⋊C4—28no—
1222C4⋊C4—24no—
1223C4⋊C4—24no—
1224C4⋊C4—24no—
1225C4⋊C4—22no—
1226C4⋊C4—24no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—28no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—22no—
1240C4⋊C4—28no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
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—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C42−1+414yes—
1313C4⋊C42−1+414yes—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—22no—
1318C22⋊C4—28no—
1319C22⋊C4—24no—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—22no—
1324C22⋊C4—24no—
1325C22⋊C4—22no—
1326C22⋊C4—24no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—24no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C42—24no—
1339C42—24no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—24no—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—22no—
1353C42—22no—
1354C42—24no—
1355C42—28no—
1356C42—24no—
1357C42—24no—
1358C42—24no—
1359C42—24no—
1360C42—22no—
1361C42—24no—
1362C42—22no—
1363C42—42no—
1364C42—44no—
1365C42—44no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—42no—
1371C42—42no—
1372C42—41no—
1373C422−1+414yes—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23C2×H(5,𝔽2)12yes—
1387C23C2×2−1+412yes—
1388C23C2611yescharacteristic
1389Q8—48no—
1390Q8—44no—
1391Q8—44no—
1392Q8—164no—
1393Q8—164no—
1394Q8—164no—
1395D4—28no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—22no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—22no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—28no—
1411C2×C4—28no—
1412C2×C4—22no—
1413C2×C4—22no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—24no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—24no—
1424C2×C4—21no—
1425C2×C4—24no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—24no—
1460C2×C4—21no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—24no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—24no—
1484C2×C4—44no—
1485C2×C4—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—88no—
1489C2×C4—164no—
1490C2×C4C2×H(5,𝔽2)12yes—
1491C2×C4C2×H(5,𝔽2)12yes—
1492C2×C4C2×2−1+414yes—
1493C2×C4C2×2−1+412yes—
1494C2×C4C2×2−1+412yes—
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×C4C2×2−1+412yes—
1502C2×C4#58512yes—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—22no—
1508C22—22no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22C22×H(5,𝔽2)11yescharacteristic
1518C22C22×2−1+411yescharacteristic
1519C22C22×2−1+411yescharacteristic
1520C22C22×2−1+411yescharacteristic
1521C22C22×2−1+411yescharacteristic
1522C22C2×#58511yescharacteristic
1523C22H(7,𝔽2)11yescharacteristic
1524C4—22no—
1525C4—22no—
1526C4—24no—
1527C4—22no—
1528C4—22no—
1529C4—22no—
1530C4—22no—
1531C4—41no—
1532C4—42no—
1533C4—41no—
1534C4—44no—
1535C4—42no—
1536C4—41no—
1537C4—42no—
1538C4—42no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—42no—
1543C4—41no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—44no—
1549C4—44no—
1550C4—44no—
1551C4—42no—
1552C4—42no—
1553C4—41no—
1554C4—42no—
1555C4#354414yes—
1556C4#356314yes—
1557C2—42no—
1558C2—42no—
1559C2C2×#356311yescharacteristic
1560C2C2×#354411yescharacteristic
1561C2#6283311yescharacteristic
1562C2#6294311yescharacteristic
1563C2#6294511yescharacteristic
1564C2#6296111yescharacteristic
1565C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×D4C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59464C2semidirect
2. #59329C2semidirect
3. #59322C2semidirect
4. #58980C2semidirect
5. #58903C2semidirect
6. #58666C2semidirect
7. #53038C2semidirect
8. #53002C2semidirect
10. #46181C2semidirect
11. #46006C2semidirect
14. #42772C2semidirect
15. #42587C2semidirect
18. #39979C2semidirect
19. #39753C2semidirect
20. #39642C2semidirect
21. #39625C2semidirect
22. #39478C2semidirect
23. #39353C2semidirect
24. #38263C2semidirect
25. #38261C2semidirect
26. #37630C2semidirect
27. #37392C2semidirect
28. #37312C2semidirect
29. #36314C2semidirect
30. #36288C2semidirect
32. #35286C2semidirect
33. #35275C2semidirect

Maximal subgroups

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

subgroupindex
#594642
#593292
#593222
#589802
#589032
#586662
#530382
#530022
#501392
#461812
#460062
#451772
#449172
#427722
#425872
#424522
#424362
#399792
#397532
#396422
#396252
#394782
#393532
#382632
#382612
#376302
#373922
#373122
#363142
#362882
#361802
#352862
#352752
#347932