Finite Group Databasebeta

← #7657491

Subgroups — #7657491

Order 512.

4260 conjugacy classes of subgroups.

The subgroup lattice has 1572 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42854C212yesmaximal, complemented
2#42851C212yesmaximal, complemented
3#42840C212yesmaximal, complemented
4#42828C212yesmaximal, complemented
5#41487C214yesmaximal, complemented
6#41455C214yesmaximal, complemented
7#40854C214yesmaximal, complemented
8#40831C214yesmaximal, complemented
9#39761C211yesmaximal, characteristic, complemented
10#39758C212yesmaximal, complemented
11#39643C211yesmaximal, characteristic, complemented
12#39637C212yesmaximal, complemented
13#39481C211yesmaximal, characteristic
14#39480C211yesmaximal, characteristic, complemented
15#39475C212yesmaximal, complemented
16#39474C212yesmaximal
17#37638C211yesmaximal, characteristic, complemented
18#37628C211yesmaximal, characteristic, complemented
19#37580C212yesmaximal, complemented
20#37571C212yesmaximal, complemented
21#36598C211yesmaximal, characteristic, complemented
22#36562C211yesmaximal, characteristic, complemented
23#36545C211yesmaximal, characteristic, complemented
24#36544C211yesmaximal, characteristic
25#35919C212yesmaximal, complemented
26#35911C212yesmaximal, complemented
27#35789C212yesmaximal, complemented
28#35726C212yesmaximal, complemented
29#35337C212yesmaximal, complemented
30#35283C211yesmaximal, characteristic, complemented
31#34619C212yesmaximal
32#34619C211yesmaximal, characteristic
33#34328C211yesmaximal, characteristic, complemented
34#34317C211yesmaximal, characteristic, complemented
35Q8×#117C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C22×C4×Q8C2211yescharacteristic
39#2868C2211yescharacteristic
40#2862C2212yes—
41#2862C2211yescharacteristic
42#2859C2212yes—
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2851C2212yes—
46#2851C2212yes—
47#2839C2214yes—
48#2836C2214yes—
49#2836C2214yes—
50#2833C2214yes—
51#2833C2214yes—
52#2831C2214yes—
53#2809C2214yes—
54#2806C2214yes—
55#2805C2214yes—
56#2799C2214yes—
57#2798C2214yes—
58#2798C2214yes—
59#2794C2214yes—
60#2793C2214yes—
61#2793C2214yes—
62#2791C2214yes—
63#2787C2214yes—
64#2781C2214yes—
65#2779C2214yes—
66#2773C2214yes—
67#2770C2214yes—
68#2762C2214yes—
69#2759C2214yes—
70#2759C2214yes—
71#2755C2214yes—
72#2741C2214yes—
73#2726C2214yes—
74#2721C2214yes—
75#2716C2214yes—
76#2690C2214yes—
77#2666C2214yes—
78#2664C2214yes—
79#2655C2214yes—
80#2655C2214yes—
81#2655C2214yes—
82#2654C2214yes—
83#2654C2214yes—
84#2654C2212yes—
85#2653C2214yes—
86#2653C2212yes—
87#2652C2214yes—
88#2652C2214yes—
89#2650C2212yes—
90#2650C2214yes—
91#2650C2214yes—
92#2649C2214yes—
93#2649C2212yes—
94#2647C2212yes—
95#2647C2212yes—
96#2647C2212yes—
97#2647C2211yescharacteristic
98#2647C2212yes—
99#2647C2212yes—
100#2645C2212yes—
101#2645C2212yes—
102#2645C2211yescharacteristic
103#2644C2211yescharacteristic
104#2644C2212yes—
105#2640C2211yescharacteristic
106#2640C2212yes—
107#2634C2214yes—
108#2628C2211yescharacteristic
109#2628C2212yes—
110#2625C2211yescharacteristic
111#2625C2212yes—
112#2625C2212yes—
113#2624C2211yescharacteristic
114#2624C2212yes—
115#2621C2212yes—
116#2620C2211yescharacteristic
117#2589C2214yes—
118#2589C2214yes—
119#2589C2214yes—
120#2589C2214yes—
121#2588C2214yes—
122#2588C2214yes—
123#2588C2214yes—
124#2588C2214yes—
125#2585C2214yes—
126#2585C2214yes—
127#2584C2212yes—
128#2584C2212yes—
129#2582C2211yescharacteristic
130#2582C2212yes—
131#2582C2212yes—
132#2581C2212yes—
133#2580C2212yes—
134#2577C2214yes—
135#2575C2214yes—
136#2571C2211yescharacteristic
137#2571C2211yescharacteristic
138#2570C2212yes—
139#2570C2212yes—
140#2570C2212yes—
141#2568C2212yes—
142#2568C2212yes—
143#2567C2211yescharacteristic
144#2567C2211yescharacteristic
145#2566C2212yes—
146#2565C2212yes—
147#2556C2214yes—
148#2556C2214yes—
149#2546C2211yescharacteristic
150#2542C2211yescharacteristic
151#2538C2211yescharacteristic
152#2536C2212yes—
153#2533C2214yes—
154#2530C2214yes—
155#2528C2214yes—
156#2528C2214yes—
157#2527C2214yes—
158#2527C2214yes—
159#2524C2214yes—
160#2523C2214yes—
161#2523C2214yes—
162#2517C2214yes—
163#2514C2212yes—
164#2514C2212yes—
165#2514C2212yes—
166#2513C2212yes—
167#2513C2212yes—
168#2512C2212yes—
169#2511C2212yes—
170#2511C2214yes—
171#2511C2212yes—
172#2511C2212yes—
173#2511C2212yes—
174#2509C2212yes—
175#2508C2212yes—
176#2507C2212yes—
177#2507C2212yes—
178#2506C2212yes—
179#2506C2212yes—
180#2506C2212yes—
181#2506C2212yes—
182#2499C2212yes—
183#2499C2212yes—
184#2496C2212yes—
185#2495C2212yes—
186#2494C2212yes—
187#2492C2212yes—
188#2492C2212yes—
189#2492C2212yes—
190#2478C2214yes—
191#2475C2214yes—
192#2473C2214yes—
193#2468C2214yes—
194#2465C2214yes—
195#2462C2214yes—
196#2460C2214yes—
197#2453C2214yes—
198#2453C2214yes—
199#2451C2212yes—
200#2451C2212yes—
201#2449C2214yes—
202#2446C2212yes—
203#2446C2212yes—
204#2446C2214yes—
205#2439C2212yes—
206#2434C2212yes—
207#2429C2212yes—
208#2429C2212yes—
209#2429C2212yes—
210#2423C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2421C2212yes—
215#2415C2212yes—
216#2409C2212yes—
217#2401C2214yes—
218#2401C2212yes—
219#2398C2212yes—
220#2398C2214yes—
221#2396C2214yes—
222#2396C2212yes—
223#2395C2214yes—
224#2395C2212yes—
225#2371C2214yes—
226#2370C2212yes—
227#2370C2212yes—
228#2369C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2212yes—
231#2365C2212yes—
232#2365C2212yes—
233#2362C2212yes—
234#2362C2214yes—
235#2360C2212yes—
236#2360C2212yes—
237#2360C2212yes—
238#2360C2212yes—
239#2357C2212yes—
240#2356C2212yes—
241#2356C2212yes—
242#2355C2211yescharacteristic
243#2355C2212yes—
244#2355C2211yescharacteristic
245#2355C2211yescharacteristic
246#2355C2212yes—
247#2355C2211yescharacteristic
248#2355C2212yes—
249#2355C2211yescharacteristic
250#2354C2211yescharacteristic
251Q8×C4⋊C4C2211yescharacteristic
252Q8×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254#2345C2211yescharacteristic
255#2345C2212yes—
256#2345C2211yescharacteristic
257#2345C2212yes—
258#2344C2212yes—
259Q8×C22⋊C4C2211yescharacteristic
260Q8×C22⋊C4C2211yescharacteristic
261#2336C2214yes—
262#2332C2214yes—
263#2331C2212yes—
264#2331C2212yes—
265#2331C2212yes—
266#2327C2212yes—
267#2323C2212yes—
268#2314C2212yes—
269#2314C2212yes—
270#2314C2212yes—
271C4×C4⋊Q8C2211yescharacteristic
272C4×C4⋊Q8C2211yescharacteristic
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×#125C2212yes—
276C4×#125C2212yes—
277C4×#124C2212yes—
278C4×#124C2211yescharacteristic
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2211yescharacteristic
281C4×#121C2212yes—
282C4×#121C2211yescharacteristic
283#2295C2211yescharacteristic
284#2295C2211yescharacteristic
285#2295C2212yes—
286#2295C2212yes—
287#2295C2211yescharacteristic
288#2295C2212yes—
289#2293C2212yes—
290#2293C2211yescharacteristic
291#2285C2212yes—
292#2285C2211yescharacteristic
293#2276C2212yes—
294#2274C2212yes—
295C42×Q8C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C4×#117C2212yes—
298C4×#117C2211yescharacteristic
299C23×Q8C2311yescharacteristic
300#557—28no—
301#554—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2314yes—
315C2×#125C2314yes—
316C2×#124C2311yescharacteristic
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2312yes—
325C2×#121C2311yescharacteristic
326C2×C4×Q8—28no—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2314yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×D4C2312yes—
346C2×C4×D4C2311yescharacteristic
347C2×C4×D4C2312yes—
348C2×C4×D4C2314yes—
349C2×#117C2312yes—
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2312yes—
353C2×#117C2312yes—
354C2×#117C2314yes—
355C22×C4⋊C4C2312yes—
356C22×C4⋊C4C2311yescharacteristic
357C22×C4⋊C4C2312yes—
358C22×C42C2312yes—
359C22×C42C2311yescharacteristic
360#401C2314yes—
361#401C2314yes—
362#401C2314yes—
363#401C2312yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2312yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2312yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2314yes—
394#400C2314yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2312yes—
402#399C2314yes—
403#399C2312yes—
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#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2312yes—
427#398C2314yes—
428#398C2312yes—
429#398C2312yes—
430#398C2314yes—
431#397C2312yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2312yes—
458#396C2312yes—
459#396C2312yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2312yes—
466#395C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2314yes—
470#394C2312yes—
471#394C2312yes—
472#394C2314yes—
473#393C2314yes—
474#393C2312yes—
475#393C2314yes—
476#393C2314yes—
477#393C2312yes—
478#393C2314yes—
479#393C2312yes—
480#391C2314yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2312yes—
495#391C2312yes—
496#391C2311yescharacteristic
497#391C2312yes—
498#391C2314yes—
499#391C2314yes—
500#391C2312yes—
501#391C2312yes—
502#391C2314yes—
503#391C2314yes—
504#391C2314yes—
505#391C2314yes—
506#391C2314yes—
507#391C2314yes—
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2312yes—
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2311yescharacteristic
525#390C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2314yes—
583#389C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
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#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
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#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#386C2314yes—
675#386C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2312yes—
691#384C2312yes—
692#384C2312yes—
693#384C2311yescharacteristic
694#384C2312yes—
695#384C2311yescharacteristic
696#384C2312yes—
697#384C2312yes—
698#384C2312yes—
699#383C2314yes—
700#383C2314yes—
701#383C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2312yes—
715#382C2312yes—
716#381C2314yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802#376C2312yes—
803#376C2311yescharacteristic
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2311yescharacteristic
808#376C2312yes—
809C43C2312yes—
810C43C2311yescharacteristic
811C43C2312yes—
812C43C2311yescharacteristic
813C22×Q8—24no—
814C22×Q8—42no—
815C22×Q8—42no—
816C22×Q8C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×Q8C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2414yes—
832C23×C4C2412yes—
833C4⋊Q8—28no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—28no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—82no—
841#126—84no—
842#125—216no—
843#125—28no—
844#125—28no—
845#125—84no—
846#125—84no—
847#124—24no—
848C22⋊Q8—28no—
849C22⋊Q8—24no—
850C22⋊Q8—216no—
851C22⋊Q8—44no—
852C22⋊Q8—44no—
853C22⋊Q8—44no—
854C22⋊Q8—44no—
855C22⋊Q8—82no—
856#121—24no—
857C4×Q8—24no—
858C4×Q8—24no—
859C4×Q8—28no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—24no—
863C4×Q8—28no—
864C4×Q8—24no—
865C4×Q8—44no—
866C4×Q8—42no—
867C4×Q8—44no—
868C4×Q8—42no—
869C4×Q8—42no—
870C4×Q8—44no—
871C4×Q8—42no—
872C4×Q8—84no—
873C4×Q8—82no—
874C4×Q8#4118yes—
875C4×D4—28no—
876C4×D4—24no—
877C4×D4—44no—
878C4×D4—84no—
879#117—28no—
880#117—24no—
881#117—24no—
882#117—44no—
883#117—44no—
884#117—84no—
885C2×C4⋊C4—24no—
886C2×C4⋊C4—28no—
887C2×C4⋊C4—28no—
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C22⋊C4C2411yescharacteristic
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2411yescharacteristic
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2411yescharacteristic
976C2×C22⋊C4C2414yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2414yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C42—28no—
1001C2×C42—24no—
1002C2×C42C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2411yescharacteristic
1005C2×C42C2412yes—
1006C2×C42C2411yescharacteristic
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2412yes—
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2414yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2411yescharacteristic
1016C2×C42C2412yes—
1017C2×C42C2411yescharacteristic
1018C2×C42C2411yescharacteristic
1019C2×C42C2412yes—
1020C2×C42C2411yescharacteristic
1021C2×C42C2412yes—
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2414yes—
1028C2×C42C2412yes—
1029C2×C42C2412yes—
1030C2×C42C2412yes—
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2414yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2411yescharacteristic
1039C2×C42C2411yescharacteristic
1040C2×C42C2414yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044#95C2412yes—
1045#95C2412yes—
1046#95C2412yes—
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2412yes—
1050#95C2412yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2412yes—
1057#95C2412yes—
1058#95C2411yescharacteristic
1059#95C2412yes—
1060#95C2411yescharacteristic
1061#95C2412yes—
1062#95C2411yescharacteristic
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2414yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2412yes—
1072#95C2414yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136C24C2512yes—
1137C24C2511yescharacteristic
1138C2×Q8—22no—
1139C2×Q8—24no—
1140C2×Q8—22no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—28no—
1147C2×Q8—22no—
1148C2×Q8—22no—
1149C2×Q8—24no—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—22no—
1153C2×Q8—42no—
1154C2×Q8—42no—
1155C2×Q8—42no—
1156C2×Q8—42no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—42no—
1160C2×Q8—42no—
1161C2×Q8—416no—
1162C2×Q8C2×#4114yes—
1163C2×D4—24no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—42no—
1168C2×D4—42no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—24no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—24no—
1179C22×C4—22no—
1180C22×C4—28no—
1181C22×C4—42no—
1182C22×C4—42no—
1183C22×C4—44no—
1184C22×C4—42no—
1185C22×C4—41no—
1186C22×C4—44no—
1187C22×C4—42no—
1188C22×C4—41no—
1189C22×C42−1+414yes—
1190C22×C4C2512yes—
1191C22×C4C2512yes—
1192C22×C4C2512yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2511yescharacteristic
1195C22×C4C2512yes—
1196C22×C4C2511yescharacteristic
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2512yes—
1200C22×C4C2514yes—
1201C22×C4C2514yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2511yescharacteristic
1206C22×C4C2512yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2514yes—
1211C22×C4C2512yes—
1212C22×C4C2511yescharacteristic
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2511yescharacteristic
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2511yescharacteristic
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C4⋊C4—24no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—24no—
1227C4⋊C4—24no—
1228C4⋊C4—28no—
1229C4⋊C4—24no—
1230C4⋊C4—22no—
1231C4⋊C4—24no—
1232C4⋊C4—24no—
1233C4⋊C4—22no—
1234C4⋊C4—28no—
1235C4⋊C4—28no—
1236C4⋊C4—24no—
1237C4⋊C4—28no—
1238C4⋊C4—28no—
1239C4⋊C4—24no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—24no—
1243C4⋊C4—22no—
1244C4⋊C4—24no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—24no—
1249C4⋊C4—28no—
1250C4⋊C4—24no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—42no—
1262C4⋊C4—42no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—44no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4C2×#4114yes—
1304C4⋊C4C2×#4118yes—
1305C22⋊C4—24no—
1306C22⋊C4—22no—
1307C22⋊C4—24no—
1308C22⋊C4—22no—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—24no—
1317C22⋊C4—42no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—44no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—44no—
1329C22⋊C4—44no—
1330C22⋊C4—44no—
1331C22⋊C4—44no—
1332C22⋊C4—44no—
1333C22⋊C4—44no—
1334C22⋊C4—42no—
1335C42—24no—
1336C42—22no—
1337C42—24no—
1338C42—22no—
1339C42—24no—
1340C42—22no—
1341C42—28no—
1342C42—24no—
1343C42—24no—
1344C42—22no—
1345C42—24no—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—24no—
1350C42—24no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—42no—
1355C42—41no—
1356C42—42no—
1357C42—41no—
1358C42—44no—
1359C42—44no—
1360C42—42no—
1361C42—44no—
1362C42—44no—
1363C42—42no—
1364C42—42no—
1365C42—42no—
1366C42—42no—
1367C42—44no—
1368C42—44no—
1369C42—42no—
1370C42—41no—
1371C42—44no—
1372C42—44no—
1373C42—41no—
1374C42C2×#4118yes—
1375C42C2×#4114yes—
1376C422−1+414yes—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—22no—
1384C23—22no—
1385C23—22no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23C2×2−1+412yes—
1391C23C2611yescharacteristic
1392Q8—28no—
1393Q8—48no—
1394Q8—48no—
1395Q8—44no—
1396Q8—44no—
1397Q8—84no—
1398Q8—84no—
1399Q8—88no—
1400D4—48no—
1401D4—44no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—22no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—21no—
1414C2×C4—28no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—24no—
1422C2×C4—22no—
1423C2×C4—24no—
1424C2×C4—21no—
1425C2×C4—22no—
1426C2×C4—21no—
1427C2×C4—22no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—21no—
1432C2×C4—22no—
1433C2×C4—21no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—22no—
1440C2×C4—24no—
1441C2×C4—24no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—21no—
1469C2×C4—24no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—24no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—24no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—24no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—48no—
1491C2×C4—48no—
1492C2×C4—44no—
1493C2×C4—84no—
1494C2×C4—88no—
1495C2×C4—82no—
1496C2×C4C22×#4114yes—
1497C2×C4C22×#4114yes—
1498C2×C4C22×#4112yes—
1499C2×C4C22×#4112yes—
1500C2×C4C22×#4112yes—
1501C2×C4C2×2−1+412yes—
1502C2×C4C2×2−1+412yes—
1503C2×C4C2×2−1+412yes—
1504C2×C4C2×2−1+412yes—
1505C2×C4C2×2−1+412yes—
1506C2×C4#58512yes—
1507C2×C4#58512yes—
1508C22—22no—
1509C22—22no—
1510C22—22no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—42no—
1516C22—42no—
1517C22—42no—
1518C22—42no—
1519C22—42no—
1520C22—42no—
1521C22—42no—
1522C22C23×#4111yescharacteristic
1523C22C22×2−1+411yescharacteristic
1524C22C22×2−1+411yescharacteristic
1525C22C2×#58511yescharacteristic
1526C22C2×#58511yescharacteristic
1527C22H(7,𝔽2)11yescharacteristic
1528C222−1+611yescharacteristic
1529C4—22no—
1530C4—24no—
1531C4—22no—
1532C4—22no—
1533C4—24no—
1534C4—22no—
1535C4—42no—
1536C4—42no—
1537C4—42no—
1538C4—41no—
1539C4—44no—
1540C4—41no—
1541C4—41no—
1542C4—42no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—41no—
1547C4—42no—
1548C4—42no—
1549C4—42no—
1550C4—41no—
1551C4—42no—
1552C4—44no—
1553C4—41no—
1554C4—41no—
1555C4—42no—
1556C4—42no—
1557C4—41no—
1558C4—44no—
1559C4—44no—
1560C4#345514yes—
1561C4#352314yes—
1562C2—42no—
1563C2—82no—
1564C2C2×#345511yescharacteristic
1565C2C2×#352311yescharacteristic
1566C2#6285711yescharacteristic
1567C2#6292611yescharacteristic
1568C2#6293211yescharacteristic
1569C2#6295611yescharacteristic
1570C2#6296211yescharacteristic
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. #42854C2semidirect
2. #42851C2semidirect
3. #42840C2semidirect
4. #42828C2semidirect
5. #41487C2semidirect
6. #41455C2semidirect
7. #40854C2semidirect
8. #40831C2semidirect
9. #39761C2semidirect
10. #39758C2semidirect
11. #39643C2semidirect
12. #39637C2semidirect
14. #39480C2semidirect
15. #39475C2semidirect
17. #37638C2semidirect
18. #37628C2semidirect
19. #37580C2semidirect
20. #37571C2semidirect
21. #36598C2semidirect
22. #36562C2semidirect
23. #36545C2semidirect
25. #35919C2semidirect
26. #35911C2semidirect
27. #35789C2semidirect
28. #35726C2semidirect
29. #35337C2semidirect
30. #35283C2semidirect
33. #34328C2semidirect
34. #34317C2semidirect
35. Q8×#117C2semidirect

Maximal subgroups

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

subgroupindex
#428542
#428512
#428402
#428282
#414872
#414552
#408542
#408312
#397612
#397582
#396432
#396372
#394812
#394802
#394752
#394742
#376382
#376282
#375802
#375712
#365982
#365622
#365452
#365442
#359192
#359112
#357892
#357262
#353372
#352832
#346192
#343282
#343172
Q8×#1172