Finite Group Databasebeta

← #8467021

Subgroups — #8467021

Order 512.

4307 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59665C211yesmaximal, characteristic, complemented
2#59312C211yesmaximal, characteristic, complemented
3#59257C211yesmaximal, characteristic, complemented
4#58047C214yesmaximal, complemented
5#54900C214yesmaximal, complemented
6#54544C214yesmaximal, complemented
7#53121C212yesmaximal, complemented
8#53017C212yesmaximal, complemented
9#49674C214yesmaximal, complemented
10#46069C212yesmaximal, complemented
11#45654C212yesmaximal, complemented
12#45157C212yesmaximal, complemented
13#45147C212yesmaximal, complemented
14#42978C212yesmaximal, complemented
15#42956C212yesmaximal, complemented
16#42614C212yesmaximal, complemented
17#42488C212yesmaximal, complemented
18#39608C211yesmaximal, characteristic, complemented
19#39607C211yesmaximal, characteristic, complemented
20#39534C212yesmaximal, complemented
21#39370C211yesmaximal, characteristic, complemented
22#39365C212yesmaximal, complemented
23#39182C211yesmaximal, characteristic, complemented
24#38943C212yesmaximal, complemented
25#37938C212yesmaximal, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37369C212yesmaximal, complemented
28#37330C212yesmaximal
29#36480C211yesmaximal, characteristic, complemented
30#36189C211yesmaximal, characteristic, complemented
31#36176C211yesmaximal, characteristic, complemented
32#35286C211yesmaximal, characteristic, complemented
33#35167C211yesmaximal, characteristic, complemented
34#34797C211yesmaximal, characteristic
35#34772C211yesmaximal, characteristic, complemented
36C2×#552C2212yes—
37C2×#544C2212yes—
38C2×#544C2212yes—
39#2863C2212yes—
40#2859C2211yescharacteristic
41#2859C2212yes—
42#2859C2212yes—
43#2857C2212yes—
44#2857C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2854C2212yes—
48#2841C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2831C2214yes—
52#2831C2214yes—
53#2831C2214yes—
54#2822C2214yes—
55#2822C2214yes—
56#2805C2214yes—
57#2802C2214yes—
58#2799C2214yes—
59#2798C2214yes—
60#2783C2214yes—
61#2777C2214yes—
62#2774C2214yes—
63#2771C2214yes—
64#2769C2214yes—
65#2769C2214yes—
66#2764C2214yes—
67#2763C2214yes—
68#2758C2214yes—
69#2755C2214yes—
70#2755C2214yes—
71#2755C2214yes—
72#2750C2214yes—
73#2744C2214yes—
74#2744C2214yes—
75#2743C2214yes—
76#2738C2214yes—
77#2738C2214yes—
78#2734C2214yes—
79#2732C2214yes—
80#2729C2214yes—
81#2726C2214yes—
82#2726C2214yes—
83#2725C2214yes—
84#2721C2214yes—
85#2719C2214yes—
86#2719C2214yes—
87#2716C2214yes—
88#2707C2214yes—
89#2707C2214yes—
90#2707C2214yes—
91#2704C2214yes—
92#2704C2214yes—
93#2702C2214yes—
94#2696C2214yes—
95#2695C2214yes—
96#2694C2214yes—
97#2693C2214yes—
98#2692C2214yes—
99#2689C2214yes—
100#2689C2214yes—
101#2689C2214yes—
102#2687C2214yes—
103#2687C2214yes—
104#2683C2214yes—
105#2667C2214yes—
106#2659C2214yes—
107#2652C2214yes—
108#2647C2212yes—
109#2647C2212yes—
110#2647C2214yes—
111#2644C2212yes—
112#2642C2214yes—
113#2637C2214yes—
114#2637C2214yes—
115#2629C2212yes—
116#2629C2212yes—
117#2629C2212yes—
118#2628C2212yes—
119#2628C2214yes—
120#2625C2212yes—
121#2611C2214yes—
122#2605C2214yes—
123#2584C2212yes—
124#2573C2214yes—
125#2571C2212yes—
126#2571C2211yescharacteristic
127#2571C2211yescharacteristic
128#2571C2212yes—
129#2570C2212yes—
130#2568C2212yes—
131#2567C2211yescharacteristic
132#2563C2211yescharacteristic
133#2563C2212yes—
134#2558C2214yes—
135#2556C2214yes—
136#2556C2214yes—
137#2553C2214yes—
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2552C2212yes—
141#2552C2212yes—
142#2552C2212yes—
143#2552C2212yes—
144#2552C2211yescharacteristic
145#2551C2211yescharacteristic
146#2551C2212yes—
147#2551C2211yescharacteristic
148#2550C2214yes—
149#2550C2212yes—
150#2550C2212yes—
151#2550C2212yes—
152#2550C2212yes—
153#2550C2212yes—
154#2546C2212yes—
155#2538C2211yescharacteristic
156#2538C2212yes—
157#2533C2214yes—
158#2532C2214yes—
159#2531C2212yes—
160#2529C2212yes—
161#2522C2212yes—
162#2520C2212yes—
163#2519C2214yes—
164#2518C2212yes—
165#2513C2212yes—
166#2512C2212yes—
167#2512C2212yes—
168#2512C2211yescharacteristic
169#2511C2212yes—
170#2511C2211yescharacteristic
171#2509C2212yes—
172#2509C2212yes—
173#2509C2212yes—
174#2509C2212yes—
175#2508C2212yes—
176#2508C2212yes—
177#2508C2212yes—
178#2508C2212yes—
179#2507C2212yes—
180#2507C2211yescharacteristic
181#2507C2212yes—
182#2507C2211yescharacteristic
183#2506C2212yes—
184#2506C2212yes—
185#2506C2212yes—
186#2506C2212yes—
187#2505C2212yes—
188#2503C2212yes—
189#2502C2211yescharacteristic
190#2501C2212yes—
191#2500C2211yescharacteristic
192#2497C2211yescharacteristic
193#2497C2212yes—
194#2497C2212yes—
195#2497C2212yes—
196#2497C2212yes—
197#2497C2212yes—
198#2496C2212yes—
199#2495C2212yes—
200#2495C2212yes—
201#2495C2211yescharacteristic
202#2495C2212yes—
203#2492C2212yes—
204#2492C2211yescharacteristic
205#2490C2211yescharacteristic
206#2489C2212yes—
207#2489C2214yes—
208#2488C2214yes—
209#2487C2212yes—
210#2487C2212yes—
211#2487C2211yescharacteristic
212#2486C2212yes—
213#2486C2212yes—
214#2485C2211yescharacteristic
215#2477C2214yes—
216#2467C2212yes—
217#2465C2214yes—
218#2453C2214yes—
219#2453C2212yes—
220#2453C2212yes—
221#2452C2212yes—
222#2452C2212yes—
223#2450C2212yes—
224#2442C2214yes—
225#2442C2212yes—
226#2442C2212yes—
227#2442C2212yes—
228#2442C2212yes—
229#2441C2212yes—
230#2441C2212yes—
231#2441C2211yescharacteristic
232#2440C2212yes—
233#2440C2211yescharacteristic
234#2439C2214yes—
235#2439C2212yes—
236#2439C2212yes—
237#2429C2214yes—
238#2429C2214yes—
239#2423C2212yes—
240#2423C2212yes—
241#2420C2212yes—
242#2417C2212yes—
243#2417C2211yescharacteristic
244#2415C2212yes—
245#2414C2211yescharacteristic
246#2413C2214yes—
247#2402C2212yes—
248#2396C2212yes—
249#2395C2212yes—
250#2392C2212yes—
251#2378C2214yes—
252#2370C2212yes—
253#2369C2211yescharacteristic
254#2369C2211yescharacteristic
255#2365C2212yes—
256#2360C2212yes—
257#2357C2212yes—
258#2355C2211yescharacteristic
259#2355C2212yes—
260#2354C2211yescharacteristic
261#2352C2212yes—
262#2352C2212yes—
263#2352C2212yes—
264Q8×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2211yescharacteristic
266#2347C2212yes—
267#2346C2212yes—
268#2345C2212yes—
269#2344C2212yes—
270#2331C2212yes—
271#2324C2212yes—
272#2323C2212yes—
273#2320C2214yes—
274#2317C2212yes—
275#2316C2212yes—
276#2316C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2212yes—
280C4×#125C2211yescharacteristic
281C4×#126C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2295C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic
295#2283C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#552—48no—
300#544—48no—
301#544—48no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2314yes—
309C2×C4⋊Q8C2314yes—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2312yes—
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2314yes—
359C2×#117C2312yes—
360C22×C4⋊C4C2311yescharacteristic
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2311yescharacteristic
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C42C2311yescharacteristic
367C22×C42C2311yescharacteristic
368C22×C42C2312yes—
369#400C2312yes—
370#400C2312yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2312yes—
399#400C2314yes—
400#400C2312yes—
401#400C2314yes—
402#399C2312yes—
403#399C2314yes—
404#399C2312yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#398C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2312yes—
437#398C2312yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2312yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2312yes—
481#395C2314yes—
482#394C2312yes—
483#394C2312yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2312yes—
492#393C2314yes—
493#393C2314yes—
494#392C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2312yes—
498#391C2312yes—
499#391C2311yescharacteristic
500#391C2314yes—
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2311yescharacteristic
512#391C2314yes—
513#391C2314yes—
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2311yescharacteristic
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2314yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2312yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
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#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2312yes—
664#387C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2312yes—
692#384C2312yes—
693#384C2312yes—
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#383C2312yes—
703#383C2314yes—
704#383C2314yes—
705#383C2314yes—
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2314yes—
716#382C2314yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#382C2312yes—
721#382C2312yes—
722#381C2314yes—
723#381C2314yes—
724#381C2314yes—
725#381C2314yes—
726#380C2312yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×D4C2411yescharacteristic
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C22×D4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2414yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C4⋊Q8—24no—
834C4⋊Q8—28no—
835C4⋊Q8—24no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—48no—
840C4⋊Q8—48no—
841#126—44no—
842#126—48no—
843#126—84no—
844#125—28no—
845#125—42no—
846#125—48no—
847#125—44no—
848#125—44no—
849#125—44no—
850#125—48no—
851#125—48no—
852#125—84no—
853#125—84no—
854#125—84no—
855#123—48no—
856#123—84no—
857#123—84no—
858C22⋊Q8—24no—
859C22⋊Q8—24no—
860C22⋊Q8—44no—
861C22⋊Q8—48no—
862C22⋊Q8—48no—
863C22⋊Q8—48no—
864C22⋊Q8—44no—
865C22⋊Q8—48no—
866C22⋊Q8—48no—
867C22⋊Q8—44no—
868C22⋊Q8—82no—
869#121—24no—
870#121—42no—
871C4×Q8—24no—
872C4×Q8—44no—
873C4×Q8—48no—
874C4×Q8—44no—
875C4×Q8—82no—
876C4×D4—24no—
877C4×D4—24no—
878C4×D4—28no—
879C4×D4—24no—
880C4×D4—44no—
881C4×D4—44no—
882C4×D4—42no—
883#117—24no—
884#117—28no—
885#117—44no—
886#117—44no—
887#117—44no—
888#117—48no—
889#117—42no—
890#117—44no—
891C2×C4⋊C4—28no—
892C2×C4⋊C4—24no—
893C2×C4⋊C4—24no—
894C2×C4⋊C4—44no—
895C2×C4⋊C4—44no—
896C2×C4⋊C4—82no—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2411yescharacteristic
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C42—24no—
1026C2×C42—24no—
1027C2×C42—44no—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2412yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2414yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2411yescharacteristic
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2411yescharacteristic
1081#95C2411yescharacteristic
1082#95C2411yescharacteristic
1083#95C2411yescharacteristic
1084#95C2412yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143C24C2512yes—
1144C24C2511yescharacteristic
1145C24C2511yescharacteristic
1146C2×Q8—22no—
1147C2×Q8—28no—
1148C2×Q8—24no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—42no—
1153C2×Q8—44no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—41no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—42no—
1172C2×D4—42no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—28no—
1179C22×C4—22no—
1180C22×C4—24no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—22no—
1192C22×C4—41no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—41no—
1198C22×C4—42no—
1199C22×C4—41no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—44no—
1203C22×C4—44no—
1204C22×C42−1+414yes—
1205C22×C42−1+414yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2514yes—
1228C22×C4C2514yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—28no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—28no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4H(5,𝔽2)14yes—
1327C22⋊C4—24no—
1328C22⋊C4—22no—
1329C22⋊C4—24no—
1330C22⋊C4—22no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—24no—
1339C22⋊C4—22no—
1340C22⋊C4—24no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—42no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—41no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—42no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C42—28no—
1367C42—24no—
1368C42—22no—
1369C42—24no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—24no—
1377C42—24no—
1378C42—22no—
1379C42—22no—
1380C42—24no—
1381C42—24no—
1382C42—24no—
1383C42—24no—
1384C42—22no—
1385C42—24no—
1386C42—42no—
1387C42—42no—
1388C42—42no—
1389C42—44no—
1390C42—44no—
1391C42—41no—
1392C42—44no—
1393C42—44no—
1394C42—41no—
1395C42—44no—
1396C42—42no—
1397C42—44no—
1398C422−1+414yes—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23C2×2−1+412yes—
1419C23C2×2−1+412yes—
1420C23C2611yescharacteristic
1421Q8—44no—
1422Q8—84no—
1423Q8—88no—
1424Q8—84no—
1425Q8—164no—
1426D4—44no—
1427D4—44no—
1428D4—84no—
1429D4—84no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—28no—
1441C2×C4—28no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—24no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—24no—
1452C2×C4—24no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—48no—
1520C2×C4—44no—
1521C2×C4—84no—
1522C2×C4—82no—
1523C2×C4—88no—
1524C2×C4—84no—
1525C2×C4—164no—
1526C2×C4C2×H(5,𝔽2)14yes—
1527C2×C4C2×H(5,𝔽2)12yes—
1528C2×C4C2×2−1+412yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4C2×2−1+412yes—
1531C2×C4C2×2−1+412yes—
1532C2×C4C2×2−1+412yes—
1533C2×C4C2×2−1+412yes—
1534C2×C4C2×2−1+412yes—
1535C2×C4#58512yes—
1536C2×C4#58512yes—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22C22×H(5,𝔽2)11yescharacteristic
1559C22C22×2−1+411yescharacteristic
1560C22C22×2−1+411yescharacteristic
1561C22C22×2−1+411yescharacteristic
1562C22C2×#58511yescharacteristic
1563C22C2×#58511yescharacteristic
1564C22H(7,𝔽2)11yescharacteristic
1565C4—22no—
1566C4—22no—
1567C4—24no—
1568C4—22no—
1569C4—22no—
1570C4—41no—
1571C4—42no—
1572C4—41no—
1573C4—42no—
1574C4—42no—
1575C4—42no—
1576C4—44no—
1577C4—42no—
1578C4—41no—
1579C4—42no—
1580C4—42no—
1581C4—41no—
1582C4—41no—
1583C4—42no—
1584C4—44no—
1585C4—44no—
1586C4—42no—
1587C4—41no—
1588C4—42no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—41no—
1594C4—44no—
1595C4#355214yes—
1596C4#356314yes—
1597C2—42no—
1598C2—42no—
1599C2—82no—
1600C2C2×#356311yescharacteristic
1601C2C2×#355211yescharacteristic
1602C2#6283711yescharacteristic
1603C2#6291711yescharacteristic
1604C2#6292911yescharacteristic
1605C2#6295811yescharacteristic
1606C2#6302411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59665C2semidirect
2. #59312C2semidirect
3. #59257C2semidirect
4. #58047C2semidirect
5. #54900C2semidirect
6. #54544C2semidirect
7. #53121C2semidirect
8. #53017C2semidirect
9. #49674C2semidirect
10. #46069C2semidirect
11. #45654C2semidirect
12. #45157C2semidirect
13. #45147C2semidirect
14. #42978C2semidirect
15. #42956C2semidirect
16. #42614C2semidirect
17. #42488C2semidirect
18. #39608C2semidirect
19. #39607C2semidirect
20. #39534C2semidirect
21. #39370C2semidirect
22. #39365C2semidirect
23. #39182C2semidirect
24. #38943C2semidirect
25. #37938C2semidirect
26. #37637C2semidirect
27. #37369C2semidirect
29. #36480C2semidirect
30. #36189C2semidirect
31. #36176C2semidirect
32. #35286C2semidirect
33. #35167C2semidirect
35. #34772C2semidirect

Maximal subgroups

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

subgroupindex
#596652
#593122
#592572
#580472
#549002
#545442
#531212
#530172
#496742
#460692
#456542
#451572
#451472
#429782
#429562
#426142
#424882
#396082
#396072
#395342
#393702
#393652
#391822
#389432
#379382
#376372
#373692
#373302
#364802
#361892
#361762
#352862
#351672
#347972
#347722