Finite Group Databasebeta

← #7652445

Subgroups — #7652445

Order 512.

4268 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42764C212yesmaximal, complemented
2#42738C212yesmaximal, complemented
3#42689C212yesmaximal, complemented
4#42687C212yesmaximal, complemented
5#42687C212yesmaximal, complemented
6#42610C212yesmaximal, complemented
7#42573C212yesmaximal, complemented
8#42511C212yesmaximal, complemented
9#41493C214yesmaximal, complemented
10#40868C214yesmaximal, complemented
11#40075C212yesmaximal, complemented
12#40051C212yesmaximal, complemented
13#39999C212yesmaximal, complemented
14#39997C212yesmaximal, complemented
15#39762C212yesmaximal, complemented
16#39250C212yesmaximal, complemented
17#39225C212yesmaximal, complemented
18#39192C212yesmaximal, complemented
19#38599C214yesmaximal, complemented
20#38546C214yesmaximal, complemented
21#35629C211yesmaximal, characteristic
22#35585C211yesmaximal, characteristic, complemented
23#35545C211yesmaximal, characteristic
24#35543C211yesmaximal, characteristic, complemented
25#35519C211yesmaximal, characteristic
26#35519C211yesmaximal, characteristic
27#35265C211yesmaximal, characteristic, complemented
28#35265C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic
30#34938C211yesmaximal, characteristic, complemented
31#34816C211yesmaximal, characteristic
32C2×#2509C211yesmaximal, characteristic, complemented
33#34253C211yesmaximal, characteristic
34#34215C211yesmaximal, characteristic, complemented
35#34213C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#520C2211yescharacteristic
39#2864C2212yes—
40#2864C2212yes—
41#2859C2212yes—
42#2859C2212yes—
43#2852C2214yes—
44#2839C2214yes—
45#2833C2214yes—
46#2831C2214yes—
47#2831C2214yes—
48#2798C2214yes—
49#2794C2214yes—
50#2789C2214yes—
51#2776C2214yes—
52#2776C2214yes—
53#2776C2214yes—
54#2776C2214yes—
55#2776C2214yes—
56#2772C2214yes—
57#2772C2214yes—
58#2769C2214yes—
59#2766C2214yes—
60#2762C2214yes—
61#2762C2214yes—
62#2758C2214yes—
63#2758C2214yes—
64#2755C2214yes—
65#2754C2214yes—
66#2747C2214yes—
67#2747C2214yes—
68#2744C2214yes—
69#2744C2214yes—
70#2725C2214yes—
71#2725C2214yes—
72#2721C2214yes—
73#2719C2214yes—
74#2716C2214yes—
75#2713C2214yes—
76#2690C2214yes—
77#2690C2214yes—
78#2689C2214yes—
79#2689C2214yes—
80#2666C2214yes—
81#2655C2214yes—
82#2655C2214yes—
83#2655C2214yes—
84#2654C2214yes—
85#2654C2214yes—
86#2652C2214yes—
87#2650C2214yes—
88#2650C2214yes—
89#2647C2212yes—
90#2647C2212yes—
91#2647C2212yes—
92#2647C2212yes—
93#2643C2214yes—
94#2642C2214yes—
95#2634C2214yes—
96#2625C2214yes—
97#2582C2212yes—
98#2582C2212yes—
99#2581C2212yes—
100#2581C2212yes—
101#2580C2212yes—
102#2580C2212yes—
103#2571C2212yes—
104#2570C2212yes—
105#2570C2212yes—
106#2569C2214yes—
107#2552C2211yescharacteristic
108#2552C2212yes—
109#2552C2211yescharacteristic
110#2551C2211yescharacteristic
111#2551C2211yescharacteristic
112#2550C2211yescharacteristic
113#2550C2211yescharacteristic
114#2550C2211yescharacteristic
115#2550C2211yescharacteristic
116#2549C2212yes—
117#2549C2212yes—
118#2538C2212yes—
119#2538C2212yes—
120#2533C2214yes—
121#2528C2214yes—
122#2524C2214yes—
123#2519C2214yes—
124#2519C2214yes—
125#2514C2211yescharacteristic
126#2514C2211yescharacteristic
127#2514C2214yes—
128#2514C2212yes—
129#2514C2212yes—
130#2514C2214yes—
131#2514C2212yes—
132#2514C2212yes—
133#2513C2211yescharacteristic
134#2513C2211yescharacteristic
135#2513C2212yes—
136#2513C2212yes—
137#2513C2212yes—
138#2513C2212yes—
139#2512C2211yescharacteristic
140#2512C2211yescharacteristic
141#2512C2212yes—
142#2512C2212yes—
143#2511C2211yescharacteristic
144#2511C2211yescharacteristic
145#2511C2212yes—
146#2511C2212yes—
147#2510C2212yes—
148#2510C2212yes—
149#2510C2214yes—
150#2510C2214yes—
151#2510C2214yes—
152#2509C2212yes—
153#2509C2212yes—
154#2509C2212yes—
155#2509C2212yes—
156#2509C2212yes—
157#2509C2212yes—
158#2509C2212yes—
159#2509C2212yes—
160#2509C2212yes—
161#2509C2212yes—
162#2509C2212yes—
163#2509C2212yes—
164#2509C2212yes—
165#2508C2212yes—
166#2508C2212yes—
167#2508C2212yes—
168#2508C2212yes—
169#2508C2212yes—
170#2507C2212yes—
171#2507C2212yes—
172#2507C2212yes—
173#2507C2212yes—
174#2507C2212yes—
175#2506C2212yes—
176#2506C2212yes—
177#2506C2212yes—
178#2506C2212yes—
179#2506C2212yes—
180#2505C2214yes—
181#2505C2214yes—
182#2505C2214yes—
183#2497C2212yes—
184#2497C2212yes—
185#2496C2214yes—
186#2496C2212yes—
187#2496C2212yes—
188#2495C2212yes—
189#2495C2212yes—
190#2495C2212yes—
191#2495C2212yes—
192#2494C2212yes—
193#2494C2212yes—
194#2494C2212yes—
195#2494C2212yes—
196#2481C2212yes—
197#2481C2212yes—
198#2481C2214yes—
199#2478C2214yes—
200#2475C2214yes—
201#2473C2214yes—
202#2473C2214yes—
203#2473C2214yes—
204#2462C2214yes—
205#2450C2214yes—
206#2450C2214yes—
207#2449C2214yes—
208#2449C2214yes—
209#2442C2214yes—
210#2442C2212yes—
211#2442C2212yes—
212#2441C2212yes—
213#2441C2212yes—
214#2440C2212yes—
215#2440C2212yes—
216#2440C2212yes—
217#2440C2212yes—
218#2439C2212yes—
219#2439C2212yes—
220#2429C2214yes—
221#2401C2212yes—
222#2401C2212yes—
223#2399C2212yes—
224#2399C2212yes—
225C2×#400C2212yes—
226C2×#400C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2369C2212yes—
230#2368C2214yes—
231#2368C2214yes—
232#2365C2212yes—
233#2355C2212yes—
234#2355C2212yes—
235#2355C2212yes—
236#2355C2212yes—
237#2355C2212yes—
238#2355C2212yes—
239#2355C2212yes—
240#2353C2214yes—
241#2352C2214yes—
242Q8×C4⋊C4C2212yes—
243#2347C2212yes—
244#2346C2212yes—
245#2345C2212yes—
246#2344C2212yes—
247#2336C2214yes—
248#2334C2214yes—
249#2331C2212yes—
250#2331C2212yes—
251#2330C2214yes—
252#2329C2214yes—
253#2323C2214yes—
254#2320C2212yes—
255#2319C2212yes—
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268C4×C4⋊Q8C2212yes—
269C4×C4⋊Q8C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#126C2212yes—
273C4×#126C2212yes—
274C4×C22⋊Q8C2214yes—
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2295C2212yes—
282#2293C2212yes—
283C2×#389C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#389C2212yes—
287C2×#389C2211yescharacteristic
288C2×#387C2212yes—
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291C2×#382C2211yescharacteristic
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#533—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C2×C22⋊Q8C2314yes—
325C2×C22⋊Q8C2314yes—
326#520—28no—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2312yes—
331C2×C4×Q8C2312yes—
332C2×C4×Q8C2314yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2314yes—
335C2×#117C2311yescharacteristic
336C2×#117C2311yescharacteristic
337C2×#117C2311yescharacteristic
338C2×#117C2311yescharacteristic
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C2×#117C2312yes—
342C2×#117C2314yes—
343C2×#117C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2311yescharacteristic
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2312yes—
351C22×C4⋊C4C2311yescharacteristic
352C22×C4⋊C4C2312yes—
353C22×C4⋊C4C2312yes—
354C22×C4⋊C4C2312yes—
355C22×C42C2311yescharacteristic
356C22×C42C2311yescharacteristic
357C22×C42C2311yescharacteristic
358C22×C42C2312yes—
359#401C2312yes—
360#401C2314yes—
361#401C2314yes—
362#401C2314yes—
363#401C2314yes—
364#401C2312yes—
365#400C2314yes—
366#400C2314yes—
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#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#399C2314yes—
406#399C2314yes—
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#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2312yes—
432#398C2312yes—
433#398C2312yes—
434#398C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2312yes—
451#396C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#395C2312yes—
460#395C2312yes—
461#395C2312yes—
462#395C2314yes—
463#395C2314yes—
464#395C2312yes—
465#395C2312yes—
466#395C2312yes—
467#395C2312yes—
468#395C2312yes—
469#393C2314yes—
470#393C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2311yescharacteristic
481#391C2314yes—
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2311yescharacteristic
485#391C2311yescharacteristic
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2311yescharacteristic
493#390C2312yes—
494#390C2312yes—
495#390C2312yes—
496#390C2311yescharacteristic
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2311yescharacteristic
552#389C2311yescharacteristic
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2314yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2312yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2312yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
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#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#385C2312yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2311yescharacteristic
690#384C2311yescharacteristic
691#384C2311yescharacteristic
692#383C2312yes—
693#383C2312yes—
694#383C2314yes—
695#383C2314yes—
696#383C2314yes—
697#383C2314yes—
698#383C2314yes—
699#382C2312yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2311yescharacteristic
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2314yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2314yes—
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2311yescharacteristic
719#381C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799#376C2312yes—
800#376C2314yes—
801#376C2312yes—
802C2×#95C2312yes—
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2312yes—
806C2×#95C2312yes—
807C2×#95C2311yescharacteristic
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2311yescharacteristic
811C43C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—24no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C23×C4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C4⋊Q8—24no—
837C4⋊Q8—24no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842#126—44no—
843#126—48no—
844#126—44no—
845#126—84no—
846#125—24no—
847#125—24no—
848#125—24no—
849#125—24no—
850#125—48no—
851#125—48no—
852#125—84no—
853#125—84no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—48no—
859C22⋊Q8—84no—
860C4×Q8—28no—
861C4×Q8—28no—
862C4×Q8—28no—
863C4×Q8—28no—
864C4×Q8—28no—
865C4×Q8—84no—
866C4×D4—216no—
867C4×D4—28no—
868#117—24no—
869#117—24no—
870#117—24no—
871#117—24no—
872#117—24no—
873#117—24no—
874#117—28no—
875#117—84no—
876#117#4118yes—
877C2×C4⋊C4—24no—
878C2×C4⋊C4—24no—
879C2×C4⋊C4—24no—
880C2×C4⋊C4—24no—
881C2×C4⋊C4—28no—
882C2×C4⋊C4—44no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4—42no—
885C2×C4⋊C4—42no—
886C2×C4⋊C4—82no—
887C2×C4⋊C4—82no—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2414yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2414yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2411yescharacteristic
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C22⋊C4C2414yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2412yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C42—24no—
1004C2×C42—24no—
1005C2×C42—24no—
1006C2×C42—82no—
1007C2×C42C2414yes—
1008C2×C42C2412yes—
1009C2×C42C2412yes—
1010C2×C42C2412yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2411yescharacteristic
1015C2×C42C2411yescharacteristic
1016C2×C42C2411yescharacteristic
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2414yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2412yes—
1032C2×C42C2414yes—
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2414yes—
1036C2×C42C2414yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2412yes—
1043#95C2414yes—
1044#95C2414yes—
1045#95C2414yes—
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2411yescharacteristic
1051#95C2411yescharacteristic
1052#95C2414yes—
1053#95C2414yes—
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2414yes—
1057#95C2414yes—
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2414yes—
1081#95C2414yes—
1082#95C2414yes—
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#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135C24C2512yes—
1136C24C2511yescharacteristic
1137#41—416no—
1138C2×Q8—22no—
1139C2×Q8—24no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—24no—
1143C2×Q8—22no—
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×Q8—42no—
1149C2×Q8—42no—
1150C2×Q8—42no—
1151C2×Q8—42no—
1152C2×Q8—42no—
1153C2×D4—24no—
1154C2×D4—24no—
1155C2×D4—24no—
1156C2×D4—22no—
1157C2×D4—22no—
1158C2×D4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—24no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—24no—
1166C22×C4—22no—
1167C22×C4—24no—
1168C22×C4—24no—
1169C22×C4—24no—
1170C22×C4—24no—
1171C22×C4—24no—
1172C22×C4—22no—
1173C22×C4—22no—
1174C22×C4—28no—
1175C22×C4—41no—
1176C22×C4—42no—
1177C22×C4—41no—
1178C22×C4—42no—
1179C22×C4—42no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—41no—
1185C22×C4—42no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—42no—
1189C22×C4—44no—
1190C22×C4—44no—
1191C22×C4—42no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4C2×#4114yes—
1196C22×C42−1+414yes—
1197C22×C42−1+414yes—
1198C22×C4C2512yes—
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2512yes—
1202C22×C4C2511yescharacteristic
1203C22×C4C2514yes—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2514yes—
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2511yescharacteristic
1215C22×C4C2514yes—
1216C22×C4C2511yescharacteristic
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2514yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2512yes—
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C4⋊C4—24no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—22no—
1238C4⋊C4—24no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—24no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—24no—
1253C4⋊C4—24no—
1254C4⋊C4—24no—
1255C4⋊C4—24no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—28no—
1265C4⋊C4—28no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—44no—
1277C4⋊C4—44no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
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—44no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4C2×#4114yes—
1319C4⋊C4C2×#4114yes—
1320C22⋊C4—24no—
1321C22⋊C4—24no—
1322C22⋊C4—24no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—28no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—44no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—44no—
1335C22⋊C4—44no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—42no—
1345C22⋊C4C2×#4118yes—
1346C42—22no—
1347C42—22no—
1348C42—22no—
1349C42—22no—
1350C42—22no—
1351C42—22no—
1352C42—22no—
1353C42—22no—
1354C42—28no—
1355C42—24no—
1356C42—24no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—24no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—42no—
1370C42—42no—
1371C42—44no—
1372C42—42no—
1373C42—44no—
1374C42—44no—
1375C42—44no—
1376C42—42no—
1377C42—42no—
1378C42—44no—
1379C42—42no—
1380C42—42no—
1381C42C2×#4118yes—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—22no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23C22×#4112yes—
1394C23C2×2−1+412yes—
1395C23C2×2−1+412yes—
1396C23C2611yescharacteristic
1397Q8—48no—
1398Q8—44no—
1399Q8—84no—
1400Q8—84no—
1401Q8—84no—
1402D4—48no—
1403D4—44no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—22no—
1407C2×C4—21no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—22no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—22no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—22no—
1424C2×C4—24no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—22no—
1429C2×C4—22no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—24no—
1437C2×C4—24no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—22no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—24no—
1452C2×C4—22no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—22no—
1469C2×C4—21no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—24no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—48no—
1496C2×C4—48no—
1497C2×C4—88no—
1498C2×C4—82no—
1499C2×C4—84no—
1500C2×C4—82no—
1501C2×C4—82no—
1502C2×C4—84no—
1503C2×C4—82no—
1504C2×C4—84no—
1505C2×C4#541116yes—
1506C2×C4C22×#4114yes—
1507C2×C4C22×#4114yes—
1508C2×C4C22×#4112yes—
1509C2×C4C22×#4112yes—
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—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—42no—
1523C22—42no—
1524C22—42no—
1525C22—42no—
1526C22—42no—
1527C22—42no—
1528C22—42no—
1529C22C2×#54114yes—
1530C22C23×#4111yescharacteristic
1531C22C22×2−1+411yescharacteristic
1532C22C22×2−1+411yescharacteristic
1533C22C2×#58511yescharacteristic
1534C22C2×#58511yescharacteristic
1535C22H(7,𝔽2)11yescharacteristic
1536C222−1+611yescharacteristic
1537C4—22no—
1538C4—24no—
1539C4—24no—
1540C4—22no—
1541C4—41no—
1542C4—41no—
1543C4—44no—
1544C4—41no—
1545C4—42no—
1546C4—42no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—41no—
1555C4—44no—
1556C4—42no—
1557C4—41no—
1558C4—41no—
1559C4—44no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—44no—
1564C4—42no—
1565C4—42no—
1566C4—42no—
1567C4—42no—
1568C4C2×#54114yes—
1569C4C2×#54114yes—
1570C2—24no—
1571C2—82no—
1572C2C22×#54111yescharacteristic
1573C2#6283111yescharacteristic
1574C2#6287911yescharacteristic
1575C2#6292611yescharacteristic
1576C2#6295611yescharacteristic
1577C2#6300811yescharacteristic
1578C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC22×#41C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42764C2semidirect
2. #42738C2semidirect
3. #42689C2semidirect
4. #42687C2semidirect
5. #42687C2semidirect
6. #42610C2semidirect
7. #42573C2semidirect
8. #42511C2semidirect
9. #41493C2semidirect
10. #40868C2semidirect
11. #40075C2semidirect
12. #40051C2semidirect
13. #39999C2semidirect
14. #39997C2semidirect
15. #39762C2semidirect
16. #39250C2semidirect
17. #39225C2semidirect
18. #39192C2semidirect
19. #38599C2semidirect
20. #38546C2semidirect
22. #35585C2semidirect
24. #35543C2semidirect
27. #35265C2semidirect
28. #35265C2semidirect
30. #34938C2semidirect
32. C2×#2509C2semidirect
34. #34215C2semidirect
35. #34213C2semidirect

Maximal subgroups

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

subgroupindex
#427642
#427382
#426892
#426872
#426102
#425732
#425112
#414932
#408682
#400752
#400512
#399992
#399972
#397622
#392502
#392252
#391922
#385992
#385462
#356292
#355852
#355452
#355432
#355192
#352652
#351602
#349382
#348162
C2×#25092
#342532
#342152
#342132