Finite Group Databasebeta

← #7643170

Subgroups — #7643170

Order 512.

4298 conjugacy classes of subgroups.

The subgroup lattice has 1582 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40407C214yesmaximal, complemented
2#40201C212yesmaximal, complemented
3#40178C212yesmaximal, complemented
4#39822C212yesmaximal
5#39737C211yesmaximal, characteristic
6#39724C211yesmaximal, characteristic, complemented
7#39693C212yesmaximal, complemented
8#39607C211yesmaximal, characteristic, complemented
9#39598C211yesmaximal, characteristic
10#39239C212yesmaximal, complemented
11#39183C211yesmaximal, characteristic, complemented
12#39173C211yesmaximal, characteristic, complemented
13#39022C212yesmaximal, complemented
14#38986C211yesmaximal, characteristic, complemented
15#38978C211yesmaximal, characteristic, complemented
16#38343C214yesmaximal, complemented
17#38243C212yesmaximal, complemented
18#38231C212yesmaximal, complemented
19#37115C214yesmaximal, complemented
20#36880C214yesmaximal, complemented
21#36638C211yesmaximal, characteristic
22#36635C211yesmaximal, characteristic, complemented
23#35657C212yesmaximal, complemented
24#35650C212yesmaximal, complemented
25#35647C212yesmaximal, complemented
26#35579C212yesmaximal, complemented
27#35321C212yesmaximal, complemented
28#35300C212yesmaximal
29#35208C211yesmaximal, characteristic, complemented
30#35184C211yesmaximal, characteristic, complemented
31#35184C212yesmaximal, complemented
32#35115C212yesmaximal, complemented
33#34337C211yesmaximal, characteristic, complemented
34#34317C211yesmaximal, characteristic, complemented
35C4×#533C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#533C2211yescharacteristic
39#2866C2212yes—
40#2865C2212yes—
41#2864C2212yes—
42#2864C2211yescharacteristic
43#2863C2212yes—
44#2863C2212yes—
45#2863C2211yescharacteristic
46#2863C2212yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2861C2211yescharacteristic
50#2861C2212yes—
51#2860C2211yescharacteristic
52#2859C2211yescharacteristic
53#2859C2212yes—
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2855C2212yes—
57#2855C2212yes—
58#2855C2211yescharacteristic
59#2854C2211yescharacteristic
60#2853C2212yes—
61#2852C2212yes—
62#2851C2211yescharacteristic
63#2851C2212yes—
64#2850C2211yescharacteristic
65#2810C2214yes—
66#2802C2214yes—
67#2802C2214yes—
68#2796C2214yes—
69#2793C2214yes—
70#2791C2214yes—
71#2791C2214yes—
72#2790C2214yes—
73#2790C2214yes—
74#2789C2214yes—
75#2777C2214yes—
76#2777C2214yes—
77#2776C2214yes—
78#2772C2214yes—
79#2772C2214yes—
80#2767C2214yes—
81#2758C2214yes—
82#2758C2214yes—
83#2755C2214yes—
84#2746C2214yes—
85#2741C2214yes—
86#2739C2214yes—
87#2738C2214yes—
88#2721C2214yes—
89#2719C2214yes—
90#2704C2214yes—
91#2704C2214yes—
92#2698C2214yes—
93#2690C2214yes—
94#2690C2214yes—
95#2690C2214yes—
96#2683C2214yes—
97#2666C2214yes—
98#2655C2214yes—
99#2654C2214yes—
100#2654C2214yes—
101#2654C2214yes—
102#2647C2212yes—
103#2645C2212yes—
104#2644C2212yes—
105#2642C2212yes—
106#2634C2214yes—
107#2629C2212yes—
108#2629C2212yes—
109#2621C2212yes—
110#2620C2212yes—
111#2597C2214yes—
112#2594C2214yes—
113#2594C2214yes—
114#2588C2214yes—
115#2587C2214yes—
116#2587C2214yes—
117#2587C2214yes—
118#2585C2214yes—
119#2585C2214yes—
120#2585C2214yes—
121#2584C2212yes—
122#2582C2211yescharacteristic
123#2581C2212yes—
124#2578C2214yes—
125#2576C2214yes—
126#2573C2214yes—
127#2573C2214yes—
128#2571C2212yes—
129#2570C2212yes—
130#2570C2212yes—
131#2568C2211yescharacteristic
132#2568C2212yes—
133#2567C2211yescharacteristic
134#2567C2211yescharacteristic
135#2565C2212yes—
136#2565C2212yes—
137#2562C2212yes—
138#2558C2214yes—
139#2556C2214yes—
140#2552C2212yes—
141#2552C2212yes—
142#2552C2211yescharacteristic
143#2552C2212yes—
144#2552C2211yescharacteristic
145#2550C2212yes—
146#2547C2211yescharacteristic
147#2547C2212yes—
148#2538C2211yescharacteristic
149#2538C2212yes—
150#2538C2212yes—
151#2533C2214yes—
152#2533C2214yes—
153#2530C2214yes—
154#2529C2214yes—
155#2529C2214yes—
156#2528C2214yes—
157#2528C2214yes—
158#2526C2214yes—
159#2525C2214yes—
160#2525C2214yes—
161#2525C2214yes—
162#2525C2214yes—
163#2524C2214yes—
164#2524C2214yes—
165#2524C2214yes—
166#2522C2214yes—
167#2515C2214yes—
168#2515C2214yes—
169#2514C2212yes—
170#2514C2212yes—
171#2514C2212yes—
172#2511C2212yes—
173#2511C2212yes—
174#2509C2212yes—
175#2509C2212yes—
176#2509C2214yes—
177#2507C2212yes—
178#2507C2214yes—
179#2507C2212yes—
180#2506C2212yes—
181#2506C2212yes—
182#2499C2212yes—
183#2497C2212yes—
184#2497C2212yes—
185#2497C2212yes—
186#2495C2214yes—
187#2495C2212yes—
188#2495C2212yes—
189#2489C2212yes—
190#2489C2212yes—
191#2485C2212yes—
192#2475C2214yes—
193#2470C2214yes—
194#2462C2214yes—
195#2462C2214yes—
196#2453C2212yes—
197#2453C2212yes—
198#2453C2212yes—
199#2453C2212yes—
200#2453C2212yes—
201#2448C2212yes—
202#2448C2212yes—
203#2448C2212yes—
204#2446C2212yes—
205#2442C2212yes—
206#2442C2212yes—
207#2441C2212yes—
208#2441C2212yes—
209#2440C2212yes—
210#2429C2212yes—
211#2423C2212yes—
212#2423C2214yes—
213#2421C2212yes—
214#2421C2212yes—
215#2421C2212yes—
216#2417C2212yes—
217#2370C2212yes—
218#2370C2212yes—
219#2370C2214yes—
220#2369C2211yescharacteristic
221#2365C2211yescharacteristic
222#2365C2212yes—
223#2362C2212yes—
224#2362C2214yes—
225#2357C2212yes—
226#2355C2211yescharacteristic
227#2354C2211yescharacteristic
228Q8×C4⋊C4C2212yes—
229Q8×C4⋊C4C2212yes—
230Q8×C4⋊C4C2211yescharacteristic
231Q8×C4⋊C4C2211yescharacteristic
232#2344C2212yes—
233#2336C2214yes—
234#2336C2214yes—
235#2332C2214yes—
236#2330C2212yes—
237#2330C2214yes—
238#2330C2212yes—
239#2330C2212yes—
240#2326C2212yes—
241#2324C2212yes—
242#2323C2212yes—
243#2323C2212yes—
244#2323C2212yes—
245#2323C2212yes—
246#2323C2214yes—
247#2323C2212yes—
248#2320C2212yes—
249#2320C2212yes—
250#2320C2212yes—
251#2314C2212yes—
252#2314C2214yes—
253C4×C4⋊Q8C2211yescharacteristic
254C4×C4⋊Q8C2211yescharacteristic
255C4×C4⋊Q8C2211yescharacteristic
256C4×C4⋊Q8C2212yes—
257C4×C4⋊Q8C2211yescharacteristic
258C4×C4⋊Q8C2211yescharacteristic
259C4×C4⋊Q8C2211yescharacteristic
260C4×#125C2212yes—
261C4×#125C2211yescharacteristic
262C4×#125C2212yes—
263C4×#125C2212yes—
264C4×#125C2212yes—
265C4×#126C2212yes—
266C4×#124C2211yescharacteristic
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×C22⋊Q8C2212yes—
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2211yescharacteristic
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×#123C2212yes—
277C4×#121C2211yescharacteristic
278#2298C2212yes—
279#2296C2212yes—
280#2295C2211yescharacteristic
281#2295C2212yes—
282#2295C2212yes—
283#2295C2211yescharacteristic
284#2295C2212yes—
285#2295C2211yescharacteristic
286#2295C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291#2283C2212yes—
292#2276C2212yes—
293#2274C2212yes—
294C42×Q8C2211yescharacteristic
295C42×Q8C2212yes—
296C42×Q8C2211yescharacteristic
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299#557—28no—
300#554—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×#126C2312yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2311yescharacteristic
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#124C2312yes—
319C2×#124C2311yescharacteristic
320C2×#123C2312yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×#121C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2311yescharacteristic
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2314yes—
355C2×#117C2312yes—
356C2×#117C2312yes—
357C22×C4⋊C4C2312yes—
358C22×C42C2311yescharacteristic
359C22×C42C2311yescharacteristic
360C22×C42C2311yescharacteristic
361C22×C42C2311yescharacteristic
362C22×C42C2311yescharacteristic
363C22×C42C2311yescharacteristic
364C22×C42C2311yescharacteristic
365#401C2314yes—
366#401C2314yes—
367#400C2314yes—
368#400C2314yes—
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#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#396C2314yes—
430#396C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2314yes—
440#395C2314yes—
441#395C2314yes—
442#395C2314yes—
443#394C2314yes—
444#394C2314yes—
445#391C2312yes—
446#391C2311yescharacteristic
447#391C2311yescharacteristic
448#391C2312yes—
449#391C2312yes—
450#391C2311yescharacteristic
451#391C2312yes—
452#391C2311yescharacteristic
453#391C2311yescharacteristic
454#391C2312yes—
455#391C2312yes—
456#391C2312yes—
457#391C2312yes—
458#391C2312yes—
459#391C2312yes—
460#391C2311yescharacteristic
461#391C2312yes—
462#391C2312yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2311yescharacteristic
467#391C2312yes—
468#391C2312yes—
469#391C2314yes—
470#391C2311yescharacteristic
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#390C2314yes—
476#390C2312yes—
477#390C2311yescharacteristic
478#390C2311yescharacteristic
479#390C2311yescharacteristic
480#390C2311yescharacteristic
481#390C2312yes—
482#389C2311yescharacteristic
483#389C2312yes—
484#389C2312yes—
485#389C2312yes—
486#389C2312yes—
487#389C2312yes—
488#389C2311yescharacteristic
489#389C2311yescharacteristic
490#389C2312yes—
491#389C2312yes—
492#389C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2314yes—
495#389C2314yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2311yescharacteristic
500#389C2311yescharacteristic
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2314yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2314yes—
530#389C2312yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2314yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2314yes—
599#387C2314yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2312yes—
606#387C2312yes—
607#387C2312yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
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#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2314yes—
673#385C2312yes—
674#385C2314yes—
675#385C2314yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2314yes—
692#384C2312yes—
693#384C2312yes—
694#384C2314yes—
695#383C2312yes—
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2314yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#381C2312yes—
715#381C2314yes—
716#381C2314yes—
717#380C2311yescharacteristic
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2314yes—
722#380C2314yes—
723#380C2312yes—
724#380C2314yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798#376C2312yes—
799#376C2312yes—
800#376C2312yes—
801#376C2314yes—
802#376C2314yes—
803C43C2311yescharacteristic
804C43C2311yescharacteristic
805C43C2311yescharacteristic
806C43C2311yescharacteristic
807C43C2312yes—
808C43C2311yescharacteristic
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2412yes—
819C22×D4C2411yescharacteristic
820C22×D4C2412yes—
821C23×C4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2414yes—
828C23×C4C2411yescharacteristic
829C23×C4C2411yescharacteristic
830C4⋊Q8—24no—
831C4⋊Q8—24no—
832C4⋊Q8—24no—
833C4⋊Q8—24no—
834C4⋊Q8—28no—
835#126—44no—
836#125—28no—
837#125—28no—
838#125—216no—
839#125—28no—
840#125—42no—
841#125—44no—
842#125—44no—
843#125—44no—
844#125—48no—
845#125—48no—
846#124—42no—
847#124—44no—
848#123—44no—
849C22⋊Q8—24no—
850C22⋊Q8—28no—
851C22⋊Q8—24no—
852C22⋊Q8—28no—
853C22⋊Q8—24no—
854C22⋊Q8—28no—
855C22⋊Q8—216no—
856C22⋊Q8—48no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859#121—24no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—24no—
863C4×Q8—24no—
864C4×Q8—28no—
865C4×Q8—24no—
866C4×Q8—24no—
867C4×Q8—44no—
868C4×Q8—44no—
869C4×Q8—42no—
870C4×Q8—44no—
871C4×Q8—42no—
872C4×Q8—44no—
873C4×Q8—44no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8#4118yes—
877C4×D4—24no—
878C4×D4—28no—
879C4×D4—44no—
880#117—28no—
881#117—28no—
882#117—44no—
883#117—48no—
884#117—44no—
885C2×C4⋊C4—28no—
886C2×C4⋊C4C2414yes—
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2412yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2414yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2414yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C42—24no—
997C2×C42—24no—
998C2×C42—24no—
999C2×C42—42no—
1000C2×C42—42no—
1001C2×C42—42no—
1002C2×C42—42no—
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2414yes—
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2412yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
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—
1139C24C2512yes—
1140C24C2511yescharacteristic
1141C2×Q8—24no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—24no—
1145C2×Q8—24no—
1146C2×Q8—22no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—22no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—42no—
1158C2×Q8C2×#4114yes—
1159C2×D4—24no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—42no—
1164C2×D4—42no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—28no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C42−1+414yes—
1192C22×C4C2511yescharacteristic
1193C22×C4C2512yes—
1194C22×C4C2511yescharacteristic
1195C22×C4C2511yescharacteristic
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2514yes—
1199C22×C4C2512yes—
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2512yes—
1205C22×C4C2514yes—
1206C22×C4C2514yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C4⋊C4—28no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—24no—
1229C4⋊C4—22no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—24no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—28no—
1239C4⋊C4—28no—
1240C4⋊C4—24no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—28no—
1255C4⋊C4—22no—
1256C4⋊C4—28no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—28no—
1264C4⋊C4—24no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—42no—
1271C4⋊C4—42no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—44no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4C2×#4114yes—
1306C4⋊C4C2×#4118yes—
1307C22⋊C4—28no—
1308C22⋊C4—24no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—24no—
1312C22⋊C4—28no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—24no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—44no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C22⋊C4—44no—
1325C22⋊C4—44no—
1326C22⋊C4—44no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—24no—
1339C42—28no—
1340C42—24no—
1341C42—22no—
1342C42—22no—
1343C42—22no—
1344C42—22no—
1345C42—22no—
1346C42—22no—
1347C42—22no—
1348C42—24no—
1349C42—24no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—24no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—41no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—44no—
1373C42—44no—
1374C42—42no—
1375C42—42no—
1376C42—44no—
1377C42—44no—
1378C42—42no—
1379C42—42no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—44no—
1384C42C2×#4114yes—
1385C42C2×#4118yes—
1386C422−1+414yes—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—22no—
1394C23—22no—
1395C23—22no—
1396C23—22no—
1397C23—22no—
1398C23—22no—
1399C23—22no—
1400C23C2×2−1+412yes—
1401C23C2611yescharacteristic
1402Q8—28no—
1403Q8—48no—
1404Q8—44no—
1405Q8—44no—
1406Q8—48no—
1407Q8—84no—
1408D4—44no—
1409D4—84no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—22no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—28no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—24no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—24no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—24no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—24no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—24no—
1486C2×C4—24no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—44no—
1497C2×C4—44no—
1498C2×C4—44no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—48no—
1503C2×C4—88no—
1504C2×C4C22×#4114yes—
1505C2×C4C22×#4112yes—
1506C2×C4C22×#4114yes—
1507C2×C4C22×#4112yes—
1508C2×C4C22×#4112yes—
1509C2×C4C2×2−1+412yes—
1510C2×C4C2×2−1+412yes—
1511C2×C4C2×2−1+412yes—
1512C2×C4C2×2−1+412yes—
1513C2×C4C2×2−1+412yes—
1514C2×C4#58512yes—
1515C2×C4#58512yes—
1516C2×C4#58512yes—
1517C2×C4#58512yes—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22—42no—
1530C22—42no—
1531C22—42no—
1532C22C23×#4111yescharacteristic
1533C22C22×2−1+411yescharacteristic
1534C22C22×2−1+411yescharacteristic
1535C22C2×#58511yescharacteristic
1536C22C2×#58511yescharacteristic
1537C22C2×#58511yescharacteristic
1538C22C2×#58511yescharacteristic
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—24no—
1543C4—22no—
1544C4—22no—
1545C4—22no—
1546C4—24no—
1547C4—44no—
1548C4—42no—
1549C4—42no—
1550C4—44no—
1551C4—42no—
1552C4—44no—
1553C4—41no—
1554C4—42no—
1555C4—42no—
1556C4—41no—
1557C4—42no—
1558C4—42no—
1559C4—42no—
1560C4—41no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—44no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—42no—
1569C4—42no—
1570C4#346114yes—
1571C4#351614yes—
1572C2—42no—
1573C2—82no—
1574C2C2×#346111yescharacteristic
1575C2C2×#351611yescharacteristic
1576C2#6281011yescharacteristic
1577C2#6283111yescharacteristic
1578C2#6283711yescharacteristic
1579C2#6283811yescharacteristic
1580C2#6284011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #40407C2semidirect
2. #40201C2semidirect
3. #40178C2semidirect
6. #39724C2semidirect
7. #39693C2semidirect
8. #39607C2semidirect
10. #39239C2semidirect
11. #39183C2semidirect
12. #39173C2semidirect
13. #39022C2semidirect
14. #38986C2semidirect
15. #38978C2semidirect
16. #38343C2semidirect
17. #38243C2semidirect
18. #38231C2semidirect
19. #37115C2semidirect
20. #36880C2semidirect
22. #36635C2semidirect
23. #35657C2semidirect
24. #35650C2semidirect
25. #35647C2semidirect
26. #35579C2semidirect
27. #35321C2semidirect
29. #35208C2semidirect
30. #35184C2semidirect
31. #35184C2semidirect
32. #35115C2semidirect
33. #34337C2semidirect
34. #34317C2semidirect
35. C4×#533C2semidirect

Maximal subgroups

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

subgroupindex
#404072
#402012
#401782
#398222
#397372
#397242
#396932
#396072
#395982
#392392
#391832
#391732
#390222
#389862
#389782
#383432
#382432
#382312
#371152
#368802
#366382
#366352
#356572
#356502
#356472
#355792
#353212
#353002
#352082
#351842
#351152
#343372
#343172
C4×#5332