Finite Group Databasebeta

← #8195230

Subgroups — #8195230

Order 512.

4362 conjugacy classes of subgroups.

The subgroup lattice has 1609 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59510C212yesmaximal, complemented
2#59312C211yesmaximal, characteristic, complemented
3#59305C211yesmaximal, characteristic, complemented
4#59235C211yesmaximal, characteristic, complemented
5#59235C211yesmaximal, characteristic, complemented
6#59140C212yesmaximal, complemented
7#54553C214yesmaximal, complemented
8#54309C214yesmaximal, complemented
9#53036C212yesmaximal, complemented
10#53024C212yesmaximal, complemented
11#49609C214yesmaximal, complemented
12#47803C214yesmaximal, complemented
13#46108C212yesmaximal, complemented
14#45700C212yesmaximal, complemented
15#45253C212yesmaximal, complemented
16#44968C212yesmaximal, complemented
17#42980C212yesmaximal, complemented
18#42636C212yesmaximal, complemented
19#42576C212yesmaximal
20#42456C212yesmaximal, complemented
21#39634C211yesmaximal, characteristic, complemented
22#39506C211yesmaximal, characteristic, complemented
23#39183C211yesmaximal, characteristic, complemented
24#39027C212yesmaximal, complemented
25#39022C212yesmaximal, complemented
26#38966C211yesmaximal, characteristic, complemented
27#38966C212yesmaximal, complemented
28#38919C212yesmaximal, complemented
29#36600C211yesmaximal, characteristic, complemented
30#36477C211yesmaximal, characteristic, complemented
31#36270C211yesmaximal, characteristic, complemented
32D4×#125C211yesmaximal, characteristic, complemented
33#35286C211yesmaximal, characteristic, complemented
34#34975C211yesmaximal, characteristic, complemented
35#34970C211yesmaximal, characteristic
36C2×#552C2212yes—
37C2×#552C2212yes—
38C22×#125C2212yes—
39#2860C2212yes—
40#2859C2211yescharacteristic
41#2859C2211yescharacteristic
42#2859C2212yes—
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2855C2212yes—
46#2851C2212yes—
47#2845C2214yes—
48#2839C2214yes—
49#2839C2214yes—
50#2839C2214yes—
51#2836C2214yes—
52#2827C2214yes—
53#2822C2214yes—
54#2802C2214yes—
55#2794C2214yes—
56#2791C2214yes—
57#2790C2214yes—
58#2790C2214yes—
59#2790C2214yes—
60#2790C2214yes—
61#2783C2214yes—
62#2783C2214yes—
63#2781C2214yes—
64#2780C2214yes—
65#2780C2214yes—
66#2779C2214yes—
67#2772C2214yes—
68#2771C2214yes—
69#2768C2214yes—
70#2768C2214yes—
71#2768C2214yes—
72#2767C2214yes—
73#2767C2214yes—
74#2750C2214yes—
75#2747C2214yes—
76#2747C2214yes—
77#2746C2214yes—
78#2744C2214yes—
79#2744C2214yes—
80#2744C2214yes—
81#2743C2214yes—
82#2743C2214yes—
83#2739C2214yes—
84#2738C2214yes—
85#2722C2214yes—
86#2721C2214yes—
87#2721C2214yes—
88#2721C2214yes—
89#2719C2214yes—
90#2719C2214yes—
91#2719C2214yes—
92#2718C2214yes—
93#2708C2214yes—
94#2707C2214yes—
95#2695C2214yes—
96#2695C2214yes—
97#2693C2214yes—
98#2655C2214yes—
99#2654C2214yes—
100#2647C2212yes—
101#2647C2212yes—
102#2647C2212yes—
103#2647C2212yes—
104#2630C2214yes—
105#2629C2214yes—
106#2629C2212yes—
107#2629C2214yes—
108#2623C2214yes—
109#2621C2212yes—
110#2609C2214yes—
111#2609C2214yes—
112#2609C2214yes—
113#2609C2214yes—
114#2608C2214yes—
115#2601C2214yes—
116#2587C2214yes—
117#2585C2214yes—
118#2585C2214yes—
119#2579C2214yes—
120#2575C2214yes—
121#2571C2212yes—
122#2571C2212yes—
123#2570C2212yes—
124#2570C2212yes—
125#2570C2212yes—
126#2570C2212yes—
127#2566C2212yes—
128#2566C2212yes—
129#2566C2212yes—
130#2565C2212yes—
131#2562C2212yes—
132#2562C2212yes—
133#2562C2212yes—
134#2558C2214yes—
135#2552C2212yes—
136#2552C2212yes—
137#2552C2211yescharacteristic
138#2552C2211yescharacteristic
139#2552C2212yes—
140#2552C2211yescharacteristic
141#2552C2212yes—
142#2552C2212yes—
143#2552C2211yescharacteristic
144#2552C2212yes—
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2211yescharacteristic
148#2538C2211yescharacteristic
149#2536C2212yes—
150#2533C2212yes—
151#2531C2212yes—
152#2528C2212yes—
153#2526C2212yes—
154#2519C2214yes—
155#2515C2214yes—
156#2514C2211yescharacteristic
157#2513C2212yes—
158#2513C2212yes—
159#2513C2211yescharacteristic
160#2512C2212yes—
161#2509C2212yes—
162#2508C2212yes—
163#2508C2212yes—
164#2508C2212yes—
165#2508C2212yes—
166#2508C2212yes—
167#2507C2211yescharacteristic
168#2507C2212yes—
169#2506C2212yes—
170#2506C2212yes—
171#2506C2212yes—
172#2506C2211yescharacteristic
173#2502C2212yes—
174#2501C2212yes—
175#2497C2212yes—
176#2497C2212yes—
177#2497C2212yes—
178#2497C2212yes—
179#2497C2211yescharacteristic
180#2496C2211yescharacteristic
181#2490C2211yescharacteristic
182#2489C2211yescharacteristic
183#2489C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2489C2212yes—
187#2487C2212yes—
188#2487C2212yes—
189#2486C2212yes—
190#2484C2214yes—
191#2481C2214yes—
192#2478C2212yes—
193#2476C2212yes—
194#2475C2214yes—
195#2475C2214yes—
196#2475C2212yes—
197#2473C2214yes—
198#2473C2214yes—
199#2471C2212yes—
200#2470C2214yes—
201#2468C2214yes—
202#2454C2212yes—
203#2454C2211yescharacteristic
204#2454C2212yes—
205#2454C2212yes—
206#2453C2211yescharacteristic
207#2453C2212yes—
208#2453C2212yes—
209#2453C2212yes—
210#2446C2211yescharacteristic
211#2445C2212yes—
212#2445C2211yescharacteristic
213#2443C2214yes—
214#2442C2214yes—
215#2442C2212yes—
216#2442C2212yes—
217#2442C2212yes—
218#2442C2212yes—
219#2442C2212yes—
220#2442C2212yes—
221#2442C2212yes—
222#2442C2212yes—
223#2441C2212yes—
224#2441C2212yes—
225#2441C2214yes—
226#2429C2212yes—
227#2429C2211yescharacteristic
228#2428C2211yescharacteristic
229#2423C2212yes—
230#2421C2211yescharacteristic
231#2420C2212yes—
232#2420C2212yes—
233#2420C2211yescharacteristic
234#2417C2212yes—
235#2417C2212yes—
236#2417C2212yes—
237#2417C2212yes—
238#2417C2212yes—
239#2413C2214yes—
240#2413C2214yes—
241#2402C2212yes—
242#2401C2212yes—
243#2395C2212yes—
244#2392C2212yes—
245#2376C2214yes—
246#2370C2212yes—
247#2370C2212yes—
248#2370C2212yes—
249#2361C2212yes—
250#2357C2212yes—
251#2355C2211yescharacteristic
252#2355C2211yescharacteristic
253#2355C2211yescharacteristic
254#2354C2212yes—
255#2354C2211yescharacteristic
256#2354C2212yes—
257#2352C2214yes—
258#2352C2212yes—
259Q8×C4⋊C4C2211yescharacteristic
260D4×C4⋊C4C2212yes—
261D4×C4⋊C4C2212yes—
262D4×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2212yes—
264D4×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2211yescharacteristic
266#2344C2212yes—
267#2344C2212yes—
268#2344C2212yes—
269#2330C2212yes—
270#2328C2212yes—
271#2317C2214yes—
272#2317C2212yes—
273#2317C2212yes—
274#2316C2212yes—
275#2314C2212yes—
276#2314C2214yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#125C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#125C2212yes—
282C4×#125C2212yes—
283C4×#126C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#123C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2295C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2212yes—
294#2285C2211yescharacteristic
295C2×#384C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#552—48no—
300#552—48no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×#127C2311yescharacteristic
303C2×#126C2312yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#125—48no—
307C2×#125C2311yescharacteristic
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×D4C2311yescharacteristic
341C2×C4×D4C2311yescharacteristic
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2312yes—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2314yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2314yes—
355C2×#117C2311yescharacteristic
356C2×#117C2312yes—
357C2×#117C2311yescharacteristic
358C2×#117C2314yes—
359C2×#117C2314yes—
360C2×#117C2314yes—
361C22×C4⋊C4C2312yes—
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2312yes—
364C22×C4⋊C4C2314yes—
365C22×C4⋊C4C2312yes—
366C22×C4⋊C4C2312yes—
367C22×C4⋊C4C2314yes—
368C22×C4⋊C4C2312yes—
369C22×C42C2311yescharacteristic
370C22×C42C2312yes—
371#401C2312yes—
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#400C2312yes—
386#400C2314yes—
387#400C2312yes—
388#400C2312yes—
389#400C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2312yes—
401#400C2312yes—
402#400C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2312yes—
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#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2312yes—
480#396C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2312yes—
487#394C2312yes—
488#394C2312yes—
489#394C2312yes—
490#392C2312yes—
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#390C2312yes—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2312yes—
509#390C2312yes—
510#390C2312yes—
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2311yescharacteristic
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2312yes—
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#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2312yes—
607#388C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2312yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#384C2312yes—
694#384C2312yes—
695#384C2312yes—
696#384C2312yes—
697#384C2314yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2314yes—
702#384C2314yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2312yes—
708#383C2312yes—
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#382C2314yes—
717#382C2312yes—
718#382C2314yes—
719#382C2312yes—
720#382C2312yes—
721#382C2314yes—
722#382C2314yes—
723#382C2314yes—
724#382C2314yes—
725#382C2312yes—
726#381C2314yes—
727#381C2314yes—
728#381C2314yes—
729#381C2314yes—
730#381C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2311yescharacteristic
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2411yescharacteristic
815C22×D4C2411yescharacteristic
816C22×D4C2412yes—
817C22×D4C2411yescharacteristic
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2414yes—
827C23×C4C2414yes—
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2412yes—
831C23×C4C2414yes—
832C4⋊Q8—42no—
833#127—24no—
834#126—48no—
835#126—44no—
836#126—48no—
837#125—24no—
838#125—28no—
839#125—44no—
840#125—44no—
841#125—44no—
842#125—44no—
843#125—44no—
844#125—44no—
845#125—42no—
846#125—48no—
847#125—48no—
848#125—44no—
849#125—48no—
850#125—48no—
851#125—44no—
852#123—44no—
853#123—48no—
854#123—48no—
855#123—48no—
856C22⋊Q8—24no—
857C22⋊Q8—42no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862#121—24no—
863#121—44no—
864#121—42no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—24no—
868C4×Q8—42no—
869C4×Q8—44no—
870C4×D4—28no—
871C4×D4—24no—
872C4×D4—24no—
873C4×D4—24no—
874C4×D4—44no—
875C4×D4—44no—
876C4×D4—42no—
877C4×D4—44no—
878C4×D4—44no—
879C4×D4—44no—
880C4×D4—44no—
881C4×D4—48no—
882#117—28no—
883#117—44no—
884#117—44no—
885#117—48no—
886#117—48no—
887#117—48no—
888#117—48no—
889#117—42no—
890#117—42no—
891C2×C4⋊C4—28no—
892C2×C4⋊C4—44no—
893C2×C4⋊C4—44no—
894C2×C4⋊C4—44no—
895C2×C4⋊C4—48no—
896C2×C4⋊C4—48no—
897C2×C4⋊C4—44no—
898C2×C4⋊C4—44no—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2414yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2411yescharacteristic
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2411yescharacteristic
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C42—24no—
1030C2×C42—44no—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2412yes—
1036C2×C42C2411yescharacteristic
1037C2×C42C2411yescharacteristic
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2414yes—
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2411yescharacteristic
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
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—
1143#95C2414yes—
1144#95C2414yes—
1145C24C2512yes—
1146C24C2512yes—
1147C24C2511yescharacteristic
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—22no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—24no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—42no—
1165C2×D4—42no—
1166C2×D4—42no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D42−1+414yes—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—28no—
1176C22×C4—24no—
1177C22×C4—28no—
1178C22×C4—24no—
1179C22×C4—28no—
1180C22×C4—22no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—24no—
1185C22×C4—24no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—24no—
1189C22×C4—24no—
1190C22×C4—22no—
1191C22×C4—44no—
1192C22×C4—42no—
1193C22×C4—42no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4—44no—
1197C22×C4—44no—
1198C22×C4—44no—
1199C22×C4—44no—
1200C22×C4—44no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4C2511yescharacteristic
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2511yescharacteristic
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2514yes—
1222C22×C4C2514yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2511yescharacteristic
1227C22×C4C2512yes—
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2514yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2512yes—
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—22no—
1243C4⋊C4—24no—
1244C4⋊C4—28no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—42no—
1282C4⋊C4—44no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—44no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4H(5,𝔽2)14yes—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—24no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—24no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—24no—
1338C22⋊C4—44no—
1339C22⋊C4—44no—
1340C22⋊C4—44no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—44no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C42—22no—
1368C42—24no—
1369C42—28no—
1370C42—24no—
1371C42—22no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—24no—
1376C42—22no—
1377C42—24no—
1378C42—24no—
1379C42—22no—
1380C42—28no—
1381C42—22no—
1382C42—24no—
1383C42—22no—
1384C42—24no—
1385C42—22no—
1386C42—22no—
1387C42—42no—
1388C42—42no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C42—41no—
1393C42—44no—
1394C42—44no—
1395C42—44no—
1396C42—44no—
1397C42—42no—
1398C42—42no—
1399C42—42no—
1400C422−1+414yes—
1401C23—21no—
1402C23—22no—
1403C23—22no—
1404C23—21no—
1405C23—21no—
1406C23—22no—
1407C23—21no—
1408C23—21no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—21no—
1413C23—22no—
1414C23—22no—
1415C23—22no—
1416C23—22no—
1417C23—22no—
1418C23—22no—
1419C23—22no—
1420C23C2×2−1+414yes—
1421C23#58512yes—
1422C23C2611yescharacteristic
1423Q8—44no—
1424Q8—44no—
1425D4—28no—
1426D4—48no—
1427D4—44no—
1428D4—84no—
1429D4—84no—
1430D4—84no—
1431C2×C4—28no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—22no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—22no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—24no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—24no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—416no—
1520C2×C4—48no—
1521C2×C4—44no—
1522C2×C4—48no—
1523C2×C4—44no—
1524C2×C4—84no—
1525C2×C4—88no—
1526C2×C4—88no—
1527C2×C4—84no—
1528C2×C4—88no—
1529C2×C4C2×H(5,𝔽2)14yes—
1530C2×C4C2×H(5,𝔽2)12yes—
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—
1537C2×C4#58512yes—
1538C22—24no—
1539C22—24no—
1540C22—22no—
1541C22—22no—
1542C22—24no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—42no—
1547C22—41no—
1548C22—42no—
1549C22—42no—
1550C22—41no—
1551C22—42no—
1552C22—42no—
1553C22—42no—
1554C22—42no—
1555C22—42no—
1556C22—42no—
1557C22—42no—
1558C22—42no—
1559C22C22×H(5,𝔽2)11yescharacteristic
1560C22C22×2−1+411yescharacteristic
1561C22C22×2−1+411yescharacteristic
1562C22C2×#58511yescharacteristic
1563C22C2×#58511yescharacteristic
1564C22C2×#58511yescharacteristic
1565C22C2×#58511yescharacteristic
1566C4—24no—
1567C4—22no—
1568C4—22no—
1569C4—41no—
1570C4—42no—
1571C4—42no—
1572C4—41no—
1573C4—42no—
1574C4—42no—
1575C4—44no—
1576C4—42no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—44no—
1581C4—41no—
1582C4—44no—
1583C4—42no—
1584C4—42no—
1585C4—41no—
1586C4—42no—
1587C4—42no—
1588C4—41no—
1589C4—41no—
1590C4—42no—
1591C4—41no—
1592C4—44no—
1593C4—42no—
1594C4—42no—
1595C4—42no—
1596C4#354714yes—
1597C4#356314yes—
1598C2—44no—
1599C2—42no—
1600C2—82no—
1601C2C2×#356311yescharacteristic
1602C2C2×#354711yescharacteristic
1603C2#6282511yescharacteristic
1604C2#6301311yescharacteristic
1605C2#6301911yescharacteristic
1606C2#6302311yescharacteristic
1607C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2428C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59510C2semidirect
2. #59312C2semidirect
3. #59305C2semidirect
4. #59235C2semidirect
5. #59235C2semidirect
6. #59140C2semidirect
7. #54553C2semidirect
8. #54309C2semidirect
9. #53036C2semidirect
10. #53024C2semidirect
11. #49609C2semidirect
12. #47803C2semidirect
13. #46108C2semidirect
14. #45700C2semidirect
15. #45253C2semidirect
16. #44968C2semidirect
17. #42980C2semidirect
18. #42636C2semidirect
20. #42456C2semidirect
21. #39634C2semidirect
22. #39506C2semidirect
23. #39183C2semidirect
24. #39027C2semidirect
25. #39022C2semidirect
26. #38966C2semidirect
27. #38966C2semidirect
28. #38919C2semidirect
29. #36600C2semidirect
30. #36477C2semidirect
31. #36270C2semidirect
32. D4×#125C2semidirect
33. #35286C2semidirect
34. #34975C2semidirect

Maximal subgroups

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

subgroupindex
#595102
#593122
#593052
#592352
#591402
#545532
#543092
#530362
#530242
#496092
#478032
#461082
#457002
#452532
#449682
#429802
#426362
#425762
#424562
#396342
#395062
#391832
#390272
#390222
#389662
#389192
#366002
#364772
#362702
D4×#1252
#352862
#349752
#349702