Finite Group Databasebeta

← #7646527

Subgroups — #7646527

Order 512.

4570 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42990C212yesmaximal, complemented
2#42949C212yesmaximal, complemented
3#42947C212yesmaximal, complemented
4#42945C212yesmaximal, complemented
5#42208C214yesmaximal, complemented
6#42207C214yesmaximal, complemented
7#39736C211yesmaximal, characteristic, complemented
8#39735C211yesmaximal, characteristic, complemented
9#39480C211yesmaximal, characteristic, complemented
10#39479C211yesmaximal, characteristic, complemented
11#39148C211yesmaximal, characteristic, complemented
12#39147C211yesmaximal, characteristic, complemented
13#38932C211yesmaximal, characteristic, complemented
14#38931C211yesmaximal, characteristic, complemented
15#38130C212yesmaximal, complemented
16#38129C212yesmaximal, complemented
17#37899C212yesmaximal, complemented
18#37898C212yesmaximal, complemented
19#37571C212yesmaximal, complemented
20#37570C212yesmaximal, complemented
21#36820C214yesmaximal, complemented
22#36814C214yesmaximal, complemented
23#35614C212yesmaximal, complemented
24#35603C212yesmaximal, complemented
25#35292C211yesmaximal, characteristic, complemented
26#35238C211yesmaximal, characteristic, complemented
27#35219C212yesmaximal, complemented
28#35218C212yesmaximal, complemented
29#35218C212yesmaximal, complemented
30#35218C212yesmaximal, complemented
31#34948C211yesmaximal, characteristic, complemented
32#34911C211yesmaximal, characteristic, complemented
33#34242C211yesmaximal, characteristic, complemented
34#34155C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#532C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2857C2211yescharacteristic
40#2857C2211yescharacteristic
41#2856C2212yes—
42#2856C2211yescharacteristic
43#2856C2211yescharacteristic
44#2853C2214yes—
45#2853C2214yes—
46#2852C2214yes—
47#2852C2214yes—
48#2850C2212yes—
49#2837C2214yes—
50#2836C2214yes—
51#2831C2214yes—
52#2828C2214yes—
53#2797C2214yes—
54#2786C2214yes—
55#2782C2214yes—
56#2778C2214yes—
57#2764C2214yes—
58#2762C2214yes—
59#2761C2214yes—
60#2758C2214yes—
61#2757C2214yes—
62#2757C2214yes—
63#2756C2214yes—
64#2754C2214yes—
65#2753C2214yes—
66#2750C2214yes—
67#2749C2214yes—
68#2749C2214yes—
69#2714C2214yes—
70#2711C2214yes—
71#2708C2214yes—
72#2703C2214yes—
73#2703C2214yes—
74#2703C2214yes—
75#2702C2214yes—
76#2701C2214yes—
77#2698C2214yes—
78#2691C2214yes—
79#2691C2214yes—
80#2691C2214yes—
81#2690C2214yes—
82#2688C2214yes—
83#2688C2214yes—
84#2687C2214yes—
85#2664C2214yes—
86#2662C2214yes—
87#2661C2214yes—
88#2653C2214yes—
89#2652C2214yes—
90#2652C2214yes—
91#2652C2214yes—
92#2650C2214yes—
93#2649C2214yes—
94#2649C2214yes—
95#2648C2214yes—
96#2648C2214yes—
97#2648C2214yes—
98#2647C2212yes—
99#2647C2212yes—
100#2644C2212yes—
101#2644C2212yes—
102#2625C2212yes—
103#2624C2212yes—
104#2624C2212yes—
105#2620C2212yes—
106#2619C2212yes—
107#2615C2212yes—
108#2604C2212yes—
109#2603C2212yes—
110#2602C2212yes—
111#2602C2212yes—
112#2597C2214yes—
113#2597C2214yes—
114#2597C2214yes—
115#2597C2214yes—
116#2595C2214yes—
117#2595C2214yes—
118#2595C2214yes—
119#2594C2214yes—
120#2593C2214yes—
121#2592C2211yescharacteristic
122#2592C2212yes—
123#2584C2211yescharacteristic
124#2580C2212yes—
125#2578C2214yes—
126#2576C2214yes—
127#2573C2214yes—
128#2573C2214yes—
129#2573C2214yes—
130#2572C2214yes—
131#2571C2211yescharacteristic
132#2571C2211yescharacteristic
133#2570C2212yes—
134#2570C2212yes—
135#2570C2212yes—
136#2570C2212yes—
137#2569C2214yes—
138#2567C2211yescharacteristic
139#2566C2212yes—
140#2566C2212yes—
141#2566C2212yes—
142#2563C2211yescharacteristic
143#2562C2212yes—
144#2562C2212yes—
145#2562C2211yescharacteristic
146#2554C2214yes—
147#2554C2214yes—
148#2554C2214yes—
149#2554C2214yes—
150#2553C2214yes—
151#2552C2211yescharacteristic
152#2552C2211yescharacteristic
153#2548C2211yescharacteristic
154#2544C2212yes—
155#2541C2211yescharacteristic
156#2540C2211yescharacteristic
157#2540C2212yes—
158#2535C2212yes—
159#2535C2212yes—
160#2535C2212yes—
161#2525C2214yes—
162#2516C2214yes—
163#2514C2212yes—
164#2513C2212yes—
165#2513C2212yes—
166#2513C2214yes—
167#2512C2212yes—
168#2512C2212yes—
169#2512C2212yes—
170#2509C2212yes—
171#2508C2212yes—
172#2506C2212yes—
173#2506C2212yes—
174#2504C2212yes—
175#2500C2212yes—
176#2496C2212yes—
177#2496C2212yes—
178#2496C2212yes—
179#2495C2212yes—
180#2495C2212yes—
181#2495C2212yes—
182#2495C2212yes—
183#2494C2212yes—
184#2490C2212yes—
185#2490C2214yes—
186#2490C2212yes—
187#2486C2212yes—
188#2485C2212yes—
189#2478C2214yes—
190#2476C2214yes—
191#2475C2214yes—
192#2471C2214yes—
193#2447C2212yes—
194#2445C2212yes—
195#2442C2212yes—
196#2442C2212yes—
197#2442C2212yes—
198#2441C2212yes—
199#2430C2214yes—
200#2428C2212yes—
201#2426C2212yes—
202#2422C2212yes—
203#2422C2212yes—
204#2422C2212yes—
205#2422C2212yes—
206#2421C2212yes—
207#2420C2212yes—
208#2420C2212yes—
209#2420C2212yes—
210#2416C2212yes—
211#2416C2212yes—
212#2416C2212yes—
213#2415C2211yescharacteristic
214#2415C2211yescharacteristic
215#2414C2211yescharacteristic
216#2414C2212yes—
217#2414C2212yes—
218#2414C2212yes—
219#2414C2211yescharacteristic
220#2407C2212yes—
221#2407C2212yes—
222#2402C2214yes—
223#2395C2212yes—
224#2388C2212yes—
225#2373C2214yes—
226#2372C2214yes—
227#2369C2211yescharacteristic
228#2369C2211yescharacteristic
229#2366C2211yescharacteristic
230#2366C2211yescharacteristic
231#2363C2212yes—
232#2363C2212yes—
233#2363C2212yes—
234#2363C2212yes—
235#2363C2212yes—
236#2362C2212yes—
237#2355C2211yescharacteristic
238#2354C2211yescharacteristic
239#2354C2212yes—
240#2352C2212yes—
241Q8×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243#2335C2214yes—
244#2328C2212yes—
245#2326C2212yes—
246#2324C2212yes—
247#2324C2212yes—
248#2324C2212yes—
249#2324C2212yes—
250#2324C2212yes—
251#2324C2212yes—
252#2320C2212yes—
253#2320C2212yes—
254#2319C2212yes—
255#2319C2212yes—
256#2318C2212yes—
257#2318C2212yes—
258#2317C2211yescharacteristic
259#2317C2211yescharacteristic
260#2314C2212yes—
261#2314C2212yes—
262#2314C2211yescharacteristic
263#2314C2211yescharacteristic
264#2314C2211yescharacteristic
265#2314C2211yescharacteristic
266#2314C2212yes—
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269C4×#125C2212yes—
270C4×#125C2212yes—
271C4×#125C2212yes—
272C4×#124C2212yes—
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277#2297C2214yes—
278#2296C2212yes—
279#2295C2212yes—
280#2293C2212yes—
281#2293C2212yes—
282#2293C2212yes—
283#2293C2212yes—
284#2293C2212yes—
285#2290C2212yes—
286#2290C2212yes—
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2285C2211yescharacteristic
291#2283C2211yescharacteristic
292#2283C2211yescharacteristic
293#2274C2212yes—
294C42×D4C2212yes—
295C42×D4C2212yes—
296C4×#117C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301#532—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×#127C2311yescharacteristic
304C2×#127C2312yes—
305#529—28no—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2311yescharacteristic
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#124C2312yes—
315C2×#124C2311yescharacteristic
316C2×#124C2312yes—
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×#121C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2311yescharacteristic
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C4×#41—28no—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×D4C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2314yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382C22×C42C2312yes—
383C22×C42C2314yes—
384C22×C42C2311yescharacteristic
385#401C2314yes—
386#400C2312yes—
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#400C2314yes—
403#399C2314yes—
404#399C2312yes—
405#399C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2312yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2312yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2312yes—
441#397C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#395C2314yes—
452#395C2312yes—
453#394C2314yes—
454#394C2312yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#393C2314yes—
477#393C2312yes—
478#393C2314yes—
479#392C2312yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2312yes—
484#392C2312yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2312yes—
516#390C2312yes—
517#390C2311yescharacteristic
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2314yes—
527#390C2314yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2311yescharacteristic
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
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#388C2312yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#384C2311yescharacteristic
692#384C2312yes—
693#384C2312yes—
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2311yescharacteristic
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#383C2314yes—
702#383C2314yes—
703#383C2314yes—
704#383C2312yes—
705#383C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2312yes—
709#382C2312yes—
710#382C2311yescharacteristic
711#382C2312yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2312yes—
717#382C2312yes—
718#382C2312yes—
719#382C2314yes—
720#381C2314yes—
721#381C2314yes—
722#381C2314yes—
723#381C2312yes—
724#381C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C43C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—28no—
815C2×#41—42no—
816C2×#41—42no—
817C2×#41—82no—
818C2×#41—82no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×D4C2412yes—
823C22×D4C2411yescharacteristic
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2414yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C4⋊Q8—24no—
854#127—24no—
855#127—44no—
856#126—28no—
857#126—84no—
858#126—84no—
859#126—84no—
860#125—24no—
861#125—44no—
862#125—44no—
863#125—84no—
864#124—24no—
865#124—28no—
866#124—44no—
867#123—28no—
868#123—84no—
869#123—84no—
870#123—84no—
871C22⋊Q8—24no—
872C22⋊Q8—42no—
873C22⋊Q8—42no—
874C22⋊Q8—82no—
875C22⋊Q8—82no—
876#121—24no—
877#121—28no—
878#121—28no—
879#121—44no—
880#121—44no—
881#121—44no—
882#121—44no—
883#121—44no—
884#121—42no—
885#121—42no—
886#121—44no—
887#121—84no—
888#121—82no—
889#121—84no—
890#121—84no—
891#121—82no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—44no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—24no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913#117—24no—
914#117—24no—
915#117—24no—
916#117—28no—
917#117—44no—
918#117—44no—
919#117—42no—
920#117—42no—
921#117—44no—
922#117—42no—
923#117—42no—
924#117—44no—
925#117—84no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—42no—
928C2×C4⋊C4—42no—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C22⋊C4C2411yescharacteristic
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C42—24no—
1058C2×C42—24no—
1059C2×C42—44no—
1060C2×C42—84no—
1061C2×C42#4118yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24C2512yes—
1164C24C2511yescharacteristic
1165C24C2511yescharacteristic
1166C24C2514yes—
1167C24C2511yescharacteristic
1168#41—416no—
1169#41—816no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—24no—
1182C2×D4—28no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—24no—
1186C2×D4—24no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—28no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—44no—
1267C22×C4—44no—
1268C22×C4—44no—
1269C22×C4C2×#4114yes—
1270C22×C4C2×#4114yes—
1271C22×C4C2×#4114yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2512yes—
1285C22×C4C2514yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2514yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—24no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—24no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—24no—
1442C42—24no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—42no—
1451C42—42no—
1452C42—42no—
1453C42—42no—
1454C42—44no—
1455C42—42no—
1456C42—42no—
1457C42—44no—
1458C42—44no—
1459C42C2×#4114yes—
1460C42C2×#4114yes—
1461C42C2×#4114yes—
1462C42C2×#4114yes—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—22no—
1470C23—21no—
1471C23—21no—
1472C23—24no—
1473C23—21no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—24no—
1478C23—24no—
1479C23—24no—
1480C23—24no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—24no—
1493C23—21no—
1494C23—24no—
1495C23—22no—
1496C23—21no—
1497C23C22×#4112yes—
1498C23C2611yescharacteristic
1499Q8—44no—
1500Q8—44no—
1501Q8—84no—
1502D4—44no—
1503D4—44no—
1504D4—44no—
1505D4—48no—
1506D4—44no—
1507D4—48no—
1508D4—84no—
1509D4—84no—
1510D4—88no—
1511D4—84no—
1512D4—84no—
1513D4—164no—
1514D4—164no—
1515D4—164no—
1516D4—164no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—28no—
1526C2×C4—28no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—24no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—44no—
1600C2×C4—416no—
1601C2×C4—48no—
1602C2×C4—44no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—82no—
1607C2×C4—82no—
1608C2×C4—84no—
1609C2×C4—84no—
1610C2×C4—88no—
1611C2×C4—88no—
1612C2×C4—164no—
1613C2×C4C22×#4112yes—
1614C2×C4C22×#4112yes—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4112yes—
1617C2×C4C22×#4112yes—
1618C2×C4C22×#4112yes—
1619C2×C4#58512yes—
1620C2×C4#58512yes—
1621C2×C4#58512yes—
1622C2×C4#58512yes—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—42no—
1633C22—44no—
1634C22—44no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—41no—
1639C22—42no—
1640C22—44no—
1641C22—41no—
1642C22—44no—
1643C22—42no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—44no—
1650C22—42no—
1651C22—41no—
1652C22—41no—
1653C22—44no—
1654C22—44no—
1655C22—41no—
1656C22—42no—
1657C22—41no—
1658C22C23×#4111yescharacteristic
1659C22C2×#58511yescharacteristic
1660C22C2×#58511yescharacteristic
1661C22C2×#58511yescharacteristic
1662C22C2×#58511yescharacteristic
1663C22H(7,𝔽2)11yescharacteristic
1664C22H(7,𝔽2)11yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—41no—
1670C4—41no—
1671C4—42no—
1672C4—44no—
1673C4—41no—
1674C4—41no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—42no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—41no—
1687C4—42no—
1688C4—44no—
1689C4—42no—
1690C4—42no—
1691C4—42no—
1692C4—44no—
1693C4#345514yes—
1694C4#351214yes—
1695C2—42no—
1696C2—81no—
1697C2—81no—
1698C2—84no—
1699C2—82no—
1700C2C2×#345511yescharacteristic
1701C2C2×#351211yescharacteristic
1702C2#6285511yescharacteristic
1703C2#6293711yescharacteristic
1704C2#6293811yescharacteristic
1705C2#6296611yescharacteristic
1706C2#6296911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42990C2semidirect
2. #42949C2semidirect
3. #42947C2semidirect
4. #42945C2semidirect
5. #42208C2semidirect
6. #42207C2semidirect
7. #39736C2semidirect
8. #39735C2semidirect
9. #39480C2semidirect
10. #39479C2semidirect
11. #39148C2semidirect
12. #39147C2semidirect
13. #38932C2semidirect
14. #38931C2semidirect
15. #38130C2semidirect
16. #38129C2semidirect
17. #37899C2semidirect
18. #37898C2semidirect
19. #37571C2semidirect
20. #37570C2semidirect
21. #36820C2semidirect
22. #36814C2semidirect
23. #35614C2semidirect
24. #35603C2semidirect
25. #35292C2semidirect
26. #35238C2semidirect
27. #35219C2semidirect
28. #35218C2semidirect
29. #35218C2semidirect
30. #35218C2semidirect
31. #34948C2semidirect
32. #34911C2semidirect
33. #34242C2semidirect
34. #34155C2semidirect
35. #34060C2semidirect

Maximal subgroups

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

subgroupindex
#429902
#429492
#429472
#429452
#422082
#422072
#397362
#397352
#394802
#394792
#391482
#391472
#389322
#389312
#381302
#381292
#378992
#378982
#375712
#375702
#368202
#368142
#356142
#356032
#352922
#352382
#352192
#352182
#349482
#349112
#342422
#341552
#340602