Finite Group Databasebeta

← #7646121

Subgroups — #7646121

Order 512.

4276 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#42704C212yesmaximal, complemented
2#42703C212yesmaximal, complemented
3#42663C212yesmaximal, complemented
4#42657C212yesmaximal, complemented
5#42530C212yesmaximal, complemented
6#42527C212yesmaximal, complemented
7#42461C212yesmaximal, complemented
8#42455C212yesmaximal, complemented
9#40027C212yesmaximal, complemented
10#40027C212yesmaximal, complemented
11#40024C212yesmaximal, complemented
12#40024C212yesmaximal, complemented
13#39928C212yesmaximal, complemented
14#39927C212yesmaximal, complemented
15#39907C212yesmaximal, complemented
16#39901C212yesmaximal, complemented
17#37488C214yesmaximal, complemented
18#36825C214yesmaximal, complemented
19#36782C214yesmaximal, complemented
20#35545C211yesmaximal, characteristic
21#35545C211yesmaximal, characteristic
22#35543C211yesmaximal, characteristic, complemented
23#35543C211yesmaximal, characteristic, complemented
24#35335C211yesmaximal, characteristic, complemented
25#35333C211yesmaximal, characteristic
26#35181C211yesmaximal, characteristic, complemented
27#35181C211yesmaximal, characteristic, complemented
28#35160C211yesmaximal, characteristic
29#35160C211yesmaximal, characteristic
30#35061C214yesmaximal, complemented
31#34948C211yesmaximal, characteristic, complemented
32#34947C211yesmaximal, characteristic
33#34213C211yesmaximal, characteristic, complemented
34C2×#2370C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic
36C2×#533C2211yescharacteristic
37C22×#125C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2859C2212yes—
40#2859C2212yes—
41#2852C2214yes—
42#2852C2214yes—
43#2851C2212yes—
44#2851C2212yes—
45#2851C2214yes—
46#2851C2214yes—
47#2839C2214yes—
48#2836C2214yes—
49#2833C2214yes—
50#2831C2214yes—
51#2802C2214yes—
52#2802C2214yes—
53#2783C2214yes—
54#2783C2214yes—
55#2776C2214yes—
56#2776C2214yes—
57#2776C2214yes—
58#2772C2214yes—
59#2772C2214yes—
60#2769C2214yes—
61#2766C2214yes—
62#2766C2214yes—
63#2766C2214yes—
64#2762C2214yes—
65#2762C2214yes—
66#2758C2214yes—
67#2755C2214yes—
68#2747C2214yes—
69#2744C2214yes—
70#2739C2214yes—
71#2725C2214yes—
72#2725C2214yes—
73#2725C2214yes—
74#2725C2214yes—
75#2722C2214yes—
76#2719C2214yes—
77#2719C2214yes—
78#2719C2214yes—
79#2704C2214yes—
80#2698C2214yes—
81#2690C2214yes—
82#2689C2214yes—
83#2666C2214yes—
84#2664C2214yes—
85#2660C2212yes—
86#2660C2212yes—
87#2655C2214yes—
88#2655C2214yes—
89#2655C2214yes—
90#2655C2214yes—
91#2654C2214yes—
92#2652C2214yes—
93#2652C2214yes—
94#2650C2214yes—
95#2646C2214yes—
96#2646C2214yes—
97#2643C2214yes—
98#2643C2214yes—
99#2637C2214yes—
100#2634C2214yes—
101#2629C2212yes—
102#2629C2212yes—
103#2584C2212yes—
104#2584C2212yes—
105#2584C2212yes—
106#2584C2212yes—
107#2583C2214yes—
108#2583C2214yes—
109#2579C2214yes—
110#2579C2214yes—
111#2571C2212yes—
112#2571C2212yes—
113#2571C2212yes—
114#2571C2212yes—
115#2571C2212yes—
116#2571C2212yes—
117#2571C2211yescharacteristic
118#2571C2211yescharacteristic
119#2570C2212yes—
120#2570C2212yes—
121#2570C2212yes—
122#2570C2212yes—
123#2570C2212yes—
124#2570C2212yes—
125#2570C2212yes—
126#2570C2212yes—
127#2570C2212yes—
128#2570C2212yes—
129#2570C2212yes—
130#2570C2212yes—
131#2570C2211yescharacteristic
132#2570C2211yescharacteristic
133#2570C2211yescharacteristic
134#2570C2211yescharacteristic
135#2569C2212yes—
136#2569C2212yes—
137#2568C2211yescharacteristic
138#2567C2211yescharacteristic
139#2566C2212yes—
140#2566C2212yes—
141#2566C2211yescharacteristic
142#2566C2211yescharacteristic
143#2565C2212yes—
144#2565C2212yes—
145#2565C2211yescharacteristic
146#2565C2211yescharacteristic
147#2564C2212yes—
148#2564C2212yes—
149#2563C2211yescharacteristic
150#2552C2212yes—
151#2552C2212yes—
152#2552C2212yes—
153#2552C2212yes—
154#2552C2212yes—
155#2552C2212yes—
156#2552C2211yescharacteristic
157#2552C2211yescharacteristic
158#2542C2211yescharacteristic
159#2533C2214yes—
160#2533C2214yes—
161#2528C2214yes—
162#2528C2214yes—
163#2524C2214yes—
164#2519C2214yes—
165#2514C2212yes—
166#2514C2212yes—
167#2514C2212yes—
168#2514C2212yes—
169#2513C2212yes—
170#2513C2212yes—
171#2513C2212yes—
172#2513C2212yes—
173#2512C2212yes—
174#2512C2212yes—
175#2512C2212yes—
176#2512C2212yes—
177#2511C2212yes—
178#2511C2212yes—
179#2511C2212yes—
180#2511C2212yes—
181#2510C2214yes—
182#2510C2214yes—
183#2509C2212yes—
184#2509C2212yes—
185#2508C2212yes—
186#2508C2212yes—
187#2507C2212yes—
188#2507C2212yes—
189#2506C2212yes—
190#2506C2212yes—
191#2505C2214yes—
192#2505C2214yes—
193#2497C2212yes—
194#2497C2212yes—
195#2497C2212yes—
196#2497C2212yes—
197#2496C2212yes—
198#2496C2212yes—
199#2496C2212yes—
200#2496C2212yes—
201#2495C2212yes—
202#2495C2212yes—
203#2495C2212yes—
204#2495C2212yes—
205#2494C2212yes—
206#2494C2212yes—
207#2494C2212yes—
208#2494C2212yes—
209#2481C2214yes—
210#2481C2214yes—
211#2478C2214yes—
212#2478C2214yes—
213#2475C2214yes—
214#2475C2214yes—
215#2473C2214yes—
216#2473C2214yes—
217#2469C2214yes—
218#2462C2214yes—
219#2442C2212yes—
220#2442C2212yes—
221#2417C2212yes—
222#2417C2212yes—
223#2402C2212yes—
224#2402C2212yes—
225#2396C2212yes—
226#2396C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2212yes—
230#2370C2212yes—
231#2370C2212yes—
232#2370C2212yes—
233#2370C2212yes—
234#2370C2212yes—
235#2370C2212yes—
236#2370C2212yes—
237#2369C2212yes—
238#2365C2212yes—
239#2355C2212yes—
240#2355C2212yes—
241#2355C2212yes—
242Q8×C4⋊C4C2212yes—
243#2336C2214yes—
244#2336C2214yes—
245#2334C2214yes—
246#2334C2214yes—
247#2329C2214yes—
248#2320C2212yes—
249#2319C2212yes—
250#2318C2214yes—
251#2317C2211yescharacteristic
252#2317C2211yescharacteristic
253#2317C2211yescharacteristic
254#2317C2211yescharacteristic
255#2317C2211yescharacteristic
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2317C2211yescharacteristic
261#2314C2212yes—
262#2314C2212yes—
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267C4×#125C2212yes—
268C4×#125C2212yes—
269C4×C22⋊Q8C2214yes—
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2212yes—
272#2297C2211yescharacteristic
273#2297C2211yescharacteristic
274#2296C2211yescharacteristic
275#2296C2211yescharacteristic
276#2295C2212yes—
277#2293C2212yes—
278C2×#389C2211yescharacteristic
279C2×#389C2211yescharacteristic
280C2×#389C2212yes—
281#2290C2214yes—
282C2×#387C2212yes—
283C2×#387C2212yes—
284#2285C2211yescharacteristic
285#2285C2212yes—
286#2285C2211yescharacteristic
287#2285C2211yescharacteristic
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2283C2212yes—
291#2274C2211yescharacteristic
292#2274C2211yescharacteristic
293C4×#117C2211yescharacteristic
294C2×C4×C4⋊C4C2211yescharacteristic
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300#533—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×#126C2314yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#125—28no—
308C2×#125C2312yes—
309C2×#125C2311yescharacteristic
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2312yes—
324C4×#41—28no—
325C2×C4×Q8C2311yescharacteristic
326C2×C4×Q8C2311yescharacteristic
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2312yes—
329C2×C4×Q8C2314yes—
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2312yes—
332C2×C4×D4C2311yescharacteristic
333C2×C4×D4C2312yes—
334C2×#117C2311yescharacteristic
335C2×#117C2311yescharacteristic
336C2×#117C2311yescharacteristic
337C2×#117C2311yescharacteristic
338C2×#117C2312yes—
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2314yes—
343C22×C4⋊C4C2311yescharacteristic
344C22×C4⋊C4C2311yescharacteristic
345C22×C4⋊C4C2311yescharacteristic
346C22×C4⋊C4C2311yescharacteristic
347C22×C4⋊C4C2312yes—
348C22×C4⋊C4C2312yes—
349C22×C4⋊C4C2311yescharacteristic
350C22×C4⋊C4C2311yescharacteristic
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C42C2312yes—
354C22×C42C2311yescharacteristic
355C22×C42C2311yescharacteristic
356C22×C42C2312yes—
357C22×C42C2312yes—
358C22×C42C2312yes—
359C22×C42C2311yescharacteristic
360#401C2314yes—
361#401C2314yes—
362#401C2314yes—
363#401C2314yes—
364#400C2312yes—
365#400C2312yes—
366#400C2312yes—
367#400C2312yes—
368#400C2312yes—
369#400C2312yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2312yes—
382#400C2312yes—
383#400C2312yes—
384#400C2312yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
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#399C2312yes—
403#399C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2312yes—
410#398C2312yes—
411#398C2312yes—
412#398C2312yes—
413#398C2312yes—
414#398C2312yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#396C2312yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#395C2312yes—
465#395C2312yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#393C2312yes—
471#393C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2311yescharacteristic
476#391C2311yescharacteristic
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#390C2311yescharacteristic
486#390C2311yescharacteristic
487#390C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2312yes—
492#390C2312yes—
493#389C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2312yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2311yescharacteristic
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2314yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
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#387C2312yes—
575#387C2312yes—
576#387C2312yes—
577#387C2312yes—
578#387C2312yes—
579#387C2312yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
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#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#385C2312yes—
645#385C2312yes—
646#385C2312yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#384C2312yes—
667#384C2312yes—
668#384C2311yescharacteristic
669#384C2311yescharacteristic
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#384C2311yescharacteristic
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2311yescharacteristic
686#383C2314yes—
687#383C2314yes—
688#383C2314yes—
689#383C2314yes—
690#383C2314yes—
691#382C2312yes—
692#382C2312yes—
693#382C2311yescharacteristic
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2311yescharacteristic
704#382C2311yescharacteristic
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2314yes—
716#382C2314yes—
717#382C2314yes—
718#381C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2314yes—
805C2×#95C2311yescharacteristic
806C2×#95C2311yescharacteristic
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—24no—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×D4C2412yes—
820C22×D4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2412yes—
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837#126—48no—
838#126—48no—
839#126—84no—
840#126—84no—
841#125—28no—
842#125—28no—
843#125—28no—
844#125—28no—
845#125—24no—
846#125—24no—
847#125—48no—
848#125—44no—
849#125—44no—
850#125—48no—
851#125—84no—
852#125—84no—
853C22⋊Q8—28no—
854C22⋊Q8—28no—
855C22⋊Q8—44no—
856C22⋊Q8—44no—
857C4×Q8—24no—
858C4×Q8—24no—
859C4×Q8—28no—
860C4×Q8—28no—
861C4×Q8—84no—
862C4×D4—28no—
863C4×D4—28no—
864C4×D4—24no—
865C4×D4—24no—
866#117—24no—
867#117—24no—
868#117—24no—
869#117—24no—
870#117—24no—
871#117—24no—
872#117—24no—
873#117—28no—
874#117—84no—
875C2×C4⋊C4—28no—
876C2×C4⋊C4—28no—
877C2×C4⋊C4—24no—
878C2×C4⋊C4—24no—
879C2×C4⋊C4—24no—
880C2×C4⋊C4—24no—
881C2×C4⋊C4—42no—
882C2×C4⋊C4—42no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4—82no—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2412yes—
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2414yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2414yes—
894C2×C4⋊C4C2411yescharacteristic
895C2×C4⋊C4C2414yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2414yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2412yes—
905C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C42—24no—
1005C2×C42—24no—
1006C2×C42—28no—
1007C2×C42—44no—
1008C2×C42—82no—
1009C2×C42—82no—
1010C2×C42#4118yes—
1011C2×C42C2412yes—
1012C2×C42C2412yes—
1013C2×C42C2412yes—
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2412yes—
1019C2×C42C2412yes—
1020C2×C42C2414yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2411yescharacteristic
1023C2×C42C2411yescharacteristic
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2411yescharacteristic
1029C2×C42C2412yes—
1030C2×C42C2414yes—
1031C2×C42C2414yes—
1032C2×C42C2414yes—
1033C2×C42C2414yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2414yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2414yes—
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046#95C2411yescharacteristic
1047#95C2411yescharacteristic
1048#95C2411yescharacteristic
1049#95C2411yescharacteristic
1050#95C2414yes—
1051#95C2414yes—
1052#95C2411yescharacteristic
1053#95C2411yescharacteristic
1054#95C2414yes—
1055#95C2414yes—
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2414yes—
1059#95C2414yes—
1060#95C2414yes—
1061#95C2414yes—
1062#95C2414yes—
1063#95C2414yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2414yes—
1071#95C2414yes—
1072#95C2414yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
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#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
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—
1136C24C2512yes—
1137C24C2511yescharacteristic
1138#41—416no—
1139C2×Q8—22no—
1140C2×Q8—24no—
1141C2×Q8—24no—
1142C2×Q8—22no—
1143C2×Q8—22no—
1144C2×Q8—42no—
1145C2×Q8—42no—
1146C2×Q8—42no—
1147C2×Q8—42no—
1148C2×D4—24no—
1149C2×D4—24no—
1150C2×D4—24no—
1151C2×D4—22no—
1152C2×D4—22no—
1153C2×D4—22no—
1154C22×C4—24no—
1155C22×C4—24no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—24no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—24no—
1162C22×C4—24no—
1163C22×C4—24no—
1164C22×C4—24no—
1165C22×C4—24no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—24no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—42no—
1174C22×C4—42no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—42no—
1178C22×C4—42no—
1179C22×C4—41no—
1180C22×C4—42no—
1181C22×C4—41no—
1182C22×C4—42no—
1183C22×C4—42no—
1184C22×C4—42no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—42no—
1189C22×C4—42no—
1190C22×C4—41no—
1191C22×C4C2×#4114yes—
1192C22×C4C2×#4114yes—
1193C22×C4C2×#4114yes—
1194C22×C42−1+414yes—
1195C22×C42−1+414yes—
1196C22×C4C2512yes—
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2512yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2514yes—
1206C22×C4C2514yes—
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2514yes—
1221C22×C4C2511yescharacteristic
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2511yescharacteristic
1229C4⋊C4—28no—
1230C4⋊C4—28no—
1231C4⋊C4—28no—
1232C4⋊C4—28no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—24no—
1236C4⋊C4—24no—
1237C4⋊C4—22no—
1238C4⋊C4—22no—
1239C4⋊C4—24no—
1240C4⋊C4—24no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
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—22no—
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—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—24no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—42no—
1284C4⋊C4—42no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—42no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C22⋊C4—24no—
1324C22⋊C4—24no—
1325C22⋊C4—24no—
1326C22⋊C4—24no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—24no—
1334C22⋊C4—44no—
1335C22⋊C4—42no—
1336C22⋊C4—42no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C42—24no—
1349C42—24no—
1350C42—24no—
1351C42—24no—
1352C42—24no—
1353C42—22no—
1354C42—22no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—24no—
1365C42—28no—
1366C42—44no—
1367C42—44no—
1368C42—44no—
1369C42—44no—
1370C42—44no—
1371C42—42no—
1372C42—42no—
1373C42—44no—
1374C42—44no—
1375C42—42no—
1376C42—42no—
1377C42—44no—
1378C42—44no—
1379C42C2×#4114yes—
1380C42C2×#4114yes—
1381C42C2×#4114yes—
1382C42C2×#4114yes—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—22no—
1388C23—22no—
1389C23—22no—
1390C23—22no—
1391C23—22no—
1392C23—22no—
1393C23—22no—
1394C23C22×#4112yes—
1395C23C2×2−1+412yes—
1396C23C2×2−1+412yes—
1397C23C2611yescharacteristic
1398Q8—48no—
1399Q8—44no—
1400Q8—84no—
1401D4—48no—
1402D4—44no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—22no—
1416C2×C4—22no—
1417C2×C4—22no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—24no—
1423C2×C4—24no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—22no—
1435C2×C4—22no—
1436C2×C4—22no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—24no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—24no—
1444C2×C4—21no—
1445C2×C4—22no—
1446C2×C4—22no—
1447C2×C4—24no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—24no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—24no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—48no—
1495C2×C4—48no—
1496C2×C4—48no—
1497C2×C4—48no—
1498C2×C4—48no—
1499C2×C4—84no—
1500C2×C4—82no—
1501C2×C4—82no—
1502C2×C4—84no—
1503C2×C4#541116yes—
1504C2×C4C22×#4112yes—
1505C2×C4C22×#4112yes—
1506C2×C4C22×#4112yes—
1507C2×C4C22×#4112yes—
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—22no—
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—44no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—42no—
1548C4—44no—
1549C4—42no—
1550C4—42no—
1551C4—42no—
1552C4—42no—
1553C4—42no—
1554C4—44no—
1555C4—42no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—42no—
1560C4—42no—
1561C4—42no—
1562C4—42no—
1563C4—42no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—44no—
1568C4C2×#54114yes—
1569C4C2×#54114yes—
1570C2—24no—
1571C2—82no—
1572C2C22×#54111yescharacteristic
1573C2#6281511yescharacteristic
1574C2#6284511yescharacteristic
1575C2#6292611yescharacteristic
1576C2#6292811yescharacteristic
1577C2#6295611yescharacteristic
1578C2#6295811yescharacteristic
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. #42704C2semidirect
2. #42703C2semidirect
3. #42663C2semidirect
4. #42657C2semidirect
5. #42530C2semidirect
6. #42527C2semidirect
7. #42461C2semidirect
8. #42455C2semidirect
9. #40027C2semidirect
10. #40027C2semidirect
11. #40024C2semidirect
12. #40024C2semidirect
13. #39928C2semidirect
14. #39927C2semidirect
15. #39907C2semidirect
16. #39901C2semidirect
17. #37488C2semidirect
18. #36825C2semidirect
19. #36782C2semidirect
22. #35543C2semidirect
23. #35543C2semidirect
24. #35335C2semidirect
26. #35181C2semidirect
27. #35181C2semidirect
30. #35061C2semidirect
31. #34948C2semidirect
33. #34213C2semidirect
34. C2×#2370C2semidirect

Maximal subgroups

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

subgroupindex
#427042
#427032
#426632
#426572
#425302
#425272
#424612
#424552
#400272
#400242
#399282
#399272
#399072
#399012
#374882
#368252
#367822
#355452
#355432
#353352
#353332
#351812
#351602
#350612
#349482
#349472
#342132
C2×#23702
#340602