Finite Group Databasebeta

← #7732090

Subgroups — #7732090

Order 512.

4371 conjugacy classes of subgroups.

The subgroup lattice has 1648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#49618C214yesmaximal, complemented
2#47912C214yesmaximal, complemented
3#47790C214yesmaximal, complemented
4#47696C214yesmaximal, complemented
5#45186C212yesmaximal, complemented
6#45128C212yesmaximal, complemented
7#45125C212yesmaximal, complemented
8#44898C212yesmaximal, complemented
9#39802C212yesmaximal, complemented
10#39737C211yesmaximal, characteristic, complemented
11#39480C211yesmaximal, characteristic, complemented
12#39263C212yesmaximal, complemented
13#39158C211yesmaximal, characteristic, complemented
14#38943C211yesmaximal, characteristic, complemented
15#38225C212yesmaximal, complemented
16#37960C212yesmaximal, complemented
17#37953C212yesmaximal, complemented
18#37937C212yesmaximal, complemented
19#37888C212yesmaximal, complemented
20#37879C212yesmaximal, complemented
21#37623C211yesmaximal, characteristic, complemented
22#37406C212yesmaximal, complemented
23#37351C212yesmaximal, complemented
24#36586C211yesmaximal, characteristic, complemented
25#36459C211yesmaximal, characteristic, complemented
26#36288C211yesmaximal, characteristic, complemented
27#36193C211yesmaximal, characteristic, complemented
28#35652C212yesmaximal, complemented
29#35608C212yesmaximal, complemented
30#35280C211yesmaximal, characteristic, complemented
31#35200C211yesmaximal, characteristic, complemented
32#34909C211yesmaximal, characteristic
33#34394C211yesmaximal, characteristic, complemented
34#34188C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#533C2211yescharacteristic
37C2×C4×#41C2211yescharacteristic
38C2×C4×#41C2211yescharacteristic
39#2862C2212yes—
40#2860C2212yes—
41#2857C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2855C2212yes—
46#2851C2212yes—
47#2851C2212yes—
48#2850C2212yes—
49#2843C2214yes—
50#2789C2214yes—
51#2788C2214yes—
52#2787C2214yes—
53#2784C2214yes—
54#2783C2214yes—
55#2781C2214yes—
56#2781C2214yes—
57#2781C2214yes—
58#2780C2214yes—
59#2779C2214yes—
60#2778C2214yes—
61#2775C2214yes—
62#2773C2214yes—
63#2772C2214yes—
64#2770C2214yes—
65#2770C2214yes—
66#2769C2214yes—
67#2768C2214yes—
68#2768C2214yes—
69#2767C2214yes—
70#2766C2214yes—
71#2765C2214yes—
72#2762C2214yes—
73#2762C2214yes—
74#2761C2214yes—
75#2759C2214yes—
76#2758C2214yes—
77#2756C2214yes—
78#2754C2214yes—
79#2753C2214yes—
80#2750C2214yes—
81#2749C2214yes—
82#2744C2214yes—
83#2741C2214yes—
84#2741C2214yes—
85#2730C2214yes—
86#2715C2214yes—
87#2702C2214yes—
88#2700C2214yes—
89#2690C2214yes—
90#2660C2212yes—
91#2660C2212yes—
92#2647C2212yes—
93#2647C2212yes—
94#2644C2212yes—
95#2642C2212yes—
96#2638C2214yes—
97#2629C2212yes—
98#2629C2212yes—
99#2627C2214yes—
100#2625C2212yes—
101#2620C2212yes—
102#2612C2214yes—
103#2611C2214yes—
104#2610C2214yes—
105#2609C2214yes—
106#2605C2214yes—
107#2600C2212yes—
108#2600C2212yes—
109#2599C2214yes—
110#2599C2212yes—
111#2598C2212yes—
112#2597C2214yes—
113#2596C2214yes—
114#2595C2214yes—
115#2594C2214yes—
116#2588C2214yes—
117#2588C2214yes—
118#2587C2214yes—
119#2585C2214yes—
120#2585C2214yes—
121#2582C2212yes—
122#2582C2212yes—
123#2581C2211yescharacteristic
124#2580C2211yescharacteristic
125#2578C2214yes—
126#2577C2214yes—
127#2577C2214yes—
128#2574C2214yes—
129#2574C2214yes—
130#2571C2212yes—
131#2571C2211yescharacteristic
132#2570C2212yes—
133#2567C2211yescharacteristic
134#2563C2211yescharacteristic
135#2562C2212yes—
136#2560C2214yes—
137#2552C2211yescharacteristic
138#2552C2211yescharacteristic
139#2551C2211yescharacteristic
140#2547C2211yescharacteristic
141#2547C2212yes—
142#2546C2211yescharacteristic
143#2538C2212yes—
144#2538C2212yes—
145#2536C2211yescharacteristic
146#2535C2211yescharacteristic
147#2532C2214yes—
148#2532C2214yes—
149#2531C2214yes—
150#2529C2214yes—
151#2528C2214yes—
152#2528C2214yes—
153#2525C2214yes—
154#2525C2214yes—
155#2524C2214yes—
156#2524C2214yes—
157#2520C2214yes—
158#2519C2214yes—
159#2514C2212yes—
160#2514C2212yes—
161#2511C2212yes—
162#2511C2212yes—
163#2510C2214yes—
164#2508C2212yes—
165#2508C2212yes—
166#2508C2212yes—
167#2507C2212yes—
168#2506C2212yes—
169#2506C2212yes—
170#2499C2212yes—
171#2497C2212yes—
172#2497C2212yes—
173#2496C2212yes—
174#2495C2212yes—
175#2495C2212yes—
176#2495C2212yes—
177#2494C2214yes—
178#2494C2212yes—
179#2494C2212yes—
180#2494C2212yes—
181#2494C2212yes—
182#2492C2212yes—
183#2491C2212yes—
184#2490C2212yes—
185#2489C2214yes—
186#2489C2212yes—
187#2487C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2485C2211yescharacteristic
191#2485C2212yes—
192#2485C2211yescharacteristic
193#2485C2212yes—
194#2485C2212yes—
195#2478C2214yes—
196#2477C2214yes—
197#2475C2214yes—
198#2474C2214yes—
199#2448C2212yes—
200#2448C2212yes—
201#2442C2212yes—
202#2442C2212yes—
203#2442C2212yes—
204#2441C2212yes—
205#2440C2212yes—
206#2440C2212yes—
207#2439C2212yes—
208#2439C2212yes—
209#2438C2214yes—
210#2432C2212yes—
211#2429C2212yes—
212#2429C2212yes—
213#2417C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2407C2211yescharacteristic
218#2407C2211yescharacteristic
219#2395C2212yes—
220#2388C2212yes—
221#2378C2214yes—
222#2370C2212yes—
223#2369C2211yescharacteristic
224#2369C2212yes—
225#2369C2211yescharacteristic
226#2365C2211yescharacteristic
227#2365C2211yescharacteristic
228#2356C2212yes—
229#2355C2211yescharacteristic
230#2355C2211yescharacteristic
231#2355C2212yes—
232#2354C2211yescharacteristic
233#2354C2212yes—
234#2354C2212yes—
235#2354C2211yescharacteristic
236#2352C2214yes—
237#2352C2212yes—
238#2352C2212yes—
239#2352C2212yes—
240#2351C2212yes—
241#2347C2212yes—
242#2347C2212yes—
243#2347C2212yes—
244#2346C2212yes—
245#2346C2212yes—
246#2344C2212yes—
247#2331C2212yes—
248#2330C2212yes—
249#2330C2212yes—
250#2327C2212yes—
251#2326C2212yes—
252#2323C2212yes—
253#2323C2212yes—
254#2323C2212yes—
255#2320C2212yes—
256#2320C2212yes—
257#2320C2214yes—
258#2319C2212yes—
259#2318C2212yes—
260#2318C2212yes—
261#2317C2211yescharacteristic
262#2317C2211yescharacteristic
263#2316C2212yes—
264#2314C2211yescharacteristic
265#2314C2211yescharacteristic
266#2314C2211yescharacteristic
267#2314C2211yescharacteristic
268#2314C2212yes—
269#2314C2214yes—
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2212yes—
273#2311C2212yes—
274C4×#125C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×C22⋊Q8C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#121C2211yescharacteristic
280#2295C2212yes—
281#2295C2212yes—
282#2293C2212yes—
283#2290C2212yes—
284#2290C2212yes—
285#2290C2212yes—
286#2290C2212yes—
287#2285C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2285C2212yes—
291#2285C2212yes—
292C2×#384C2211yescharacteristic
293#2283C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296#2274C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2314yes—
312C2×#124C2312yes—
313C2×#124C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×C22⋊Q8C2311yescharacteristic
319C2×C22⋊Q8C2311yescharacteristic
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×#121C2311yescharacteristic
324C2×#121C2311yescharacteristic
325C4×#41—28no—
326C4×#41—28no—
327C2×C4×Q8C2311yescharacteristic
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2312yes—
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2312yes—
333C2×C4×Q8C2312yes—
334C2×C4×Q8C2312yes—
335C2×C4×D4C2311yescharacteristic
336C2×C4×D4C2311yescharacteristic
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×#117C2312yes—
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2312yes—
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2314yes—
361C22×C4⋊C4C2311yescharacteristic
362C22×C4⋊C4C2312yes—
363C22×C4⋊C4C2311yescharacteristic
364C22×C4⋊C4C2312yes—
365C22×C4⋊C4C2312yes—
366C22×C42C2312yes—
367C22×C42C2311yescharacteristic
368C22×C42C2311yescharacteristic
369C22×C42C2312yes—
370C22×C42C2311yescharacteristic
371#401C2314yes—
372#401C2314yes—
373#401C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#399C2312yes—
395#399C2314yes—
396#399C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2312yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#397C2314yes—
418#397C2312yes—
419#397C2312yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#395C2314yes—
444#395C2314yes—
445#395C2314yes—
446#395C2312yes—
447#395C2314yes—
448#395C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2312yes—
452#394C2312yes—
453#394C2312yes—
454#394C2312yes—
455#394C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#393C2314yes—
461#393C2314yes—
462#393C2312yes—
463#393C2314yes—
464#392C2312yes—
465#392C2312yes—
466#392C2312yes—
467#391C2314yes—
468#391C2312yes—
469#391C2312yes—
470#391C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2311yescharacteristic
483#391C2311yescharacteristic
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#390C2314yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2312yes—
495#390C2314yes—
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2314yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2311yescharacteristic
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
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#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#385C2312yes—
658#385C2312yes—
659#385C2312yes—
660#385C2312yes—
661#385C2312yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2314yes—
675#384C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#383C2312yes—
688#383C2312yes—
689#383C2312yes—
690#383C2314yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#382C2312yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2311yescharacteristic
710#382C2311yescharacteristic
711#382C2314yes—
712#382C2314yes—
713#382C2314yes—
714#382C2314yes—
715#381C2312yes—
716#381C2312yes—
717#381C2314yes—
718#381C2312yes—
719#380C2311yescharacteristic
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2311yescharacteristic
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2314yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2314yes—
740#380C2314yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2314yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
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⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2312yes—
806#376C2312yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810#376C2314yes—
811C2×#95C2312yes—
812C43C2312yes—
813C2×#41—24no—
814C2×#41—24no—
815C2×#41—24no—
816C2×#41—42no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C22×D4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C4⋊Q8—24no—
847C4⋊Q8—24no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851#126—84no—
852#125—28no—
853#125—44no—
854#125—44no—
855#125—84no—
856#124—44no—
857#124—84no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—42no—
863C22⋊Q8—42no—
864C22⋊Q8—82no—
865C22⋊Q8—84no—
866C22⋊Q8—82no—
867#121—42no—
868#121—42no—
869C4×Q8—24no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—28no—
874C4×Q8—28no—
875C4×Q8—44no—
876C4×Q8—44no—
877C4×D4—28no—
878C4×D4—24no—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—24no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—24no—
888C4×D4—44no—
889#117—24no—
890#117—24no—
891#117—28no—
892#117—24no—
893#117—24no—
894#117—24no—
895#117—28no—
896#117—44no—
897#117—44no—
898#117—44no—
899#117—44no—
900#117—42no—
901#117—84no—
902#117—84no—
903C2×C4⋊C4—24no—
904C2×C4⋊C4—42no—
905C2×C4⋊C4—44no—
906C2×C4⋊C4—44no—
907C2×C4⋊C4—82no—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2412yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2411yescharacteristic
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2411yescharacteristic
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2411yescharacteristic
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C42—28no—
1029C2×C42—24no—
1030C2×C42—24no—
1031C2×C42—44no—
1032C2×C42#4118yes—
1033C2×C42C2412yes—
1034C2×C42C2411yescharacteristic
1035C2×C42C2411yescharacteristic
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2411yescharacteristic
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2414yes—
1055C2×C42C2414yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2414yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2414yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149C24C2512yes—
1150C24C2511yescharacteristic
1151C24C2511yescharacteristic
1152C24C2511yescharacteristic
1153#41—416no—
1154#41—416no—
1155C2×Q8—22no—
1156C2×Q8—22no—
1157C2×Q8—24no—
1158C2×Q8—24no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—41no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×Q8—44no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—24no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—24no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—42no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—24no—
1198C22×C4—24no—
1199C22×C4—22no—
1200C22×C4—24no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—24no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—42no—
1215C22×C4—41no—
1216C22×C4—42no—
1217C22×C4—42no—
1218C22×C4—41no—
1219C22×C4—42no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—42no—
1223C22×C4—42no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—42no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4C2×#4114yes—
1233C22×C4C2×#4114yes—
1234C22×C4C2×#4114yes—
1235C22×C42−1+414yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2514yes—
1254C22×C4C2514yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2514yes—
1259C22×C4C2514yes—
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—22no—
1275C4⋊C4—22no—
1276C4⋊C4—24no—
1277C4⋊C4—24no—
1278C4⋊C4—24no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—24no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C22⋊C4—24no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—28no—
1345C22⋊C4—24no—
1346C22⋊C4—24no—
1347C22⋊C4—24no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—42no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C42—24no—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—24no—
1393C42—22no—
1394C42—22no—
1395C42—24no—
1396C42—28no—
1397C42—24no—
1398C42—24no—
1399C42—24no—
1400C42—24no—
1401C42—24no—
1402C42—24no—
1403C42—24no—
1404C42—42no—
1405C42—42no—
1406C42—44no—
1407C42—42no—
1408C42—42no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42—44no—
1415C42—44no—
1416C42—42no—
1417C42C2×#4114yes—
1418C42C2×#4114yes—
1419C42C2×#4114yes—
1420C42C2×#4114yes—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—22no—
1434C23—21no—
1435C23—22no—
1436C23—21no—
1437C23—21no—
1438C23—22no—
1439C23—21no—
1440C23—22no—
1441C23—21no—
1442C23—22no—
1443C23—22no—
1444C23—21no—
1445C23—21no—
1446C23—22no—
1447C23C22×#4112yes—
1448C23C2×2−1+412yes—
1449C23C2611yescharacteristic
1450Q8—44no—
1451Q8—48no—
1452Q8—44no—
1453Q8—84no—
1454Q8—164no—
1455D4—44no—
1456D4—44no—
1457D4—44no—
1458D4—48no—
1459D4—44no—
1460D4—84no—
1461D4—84no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—28no—
1473C2×C4—28no—
1474C2×C4—28no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—24no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—24no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—24no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—24no—
1519C2×C4—22no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—44no—
1548C2×C4—48no—
1549C2×C4—48no—
1550C2×C4—48no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—48no—
1554C2×C4—44no—
1555C2×C4—82no—
1556C2×C4—82no—
1557C2×C4—84no—
1558C2×C4—164no—
1559C2×C4C22×#4112yes—
1560C2×C4C22×#4112yes—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4112yes—
1563C2×C4C22×#4112yes—
1564C2×C4C22×#4112yes—
1565C2×C4C2×2−1+412yes—
1566C2×C4C2×2−1+412yes—
1567C2×C4#58512yes—
1568C2×C4#58512yes—
1569C2×C4#58512yes—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—22no—
1575C22—22no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—42no—
1585C22—41no—
1586C22—41no—
1587C22—42no—
1588C22—42no—
1589C22—41no—
1590C22—42no—
1591C22—41no—
1592C22—41no—
1593C22—42no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—42no—
1598C22C23×#4111yescharacteristic
1599C22C22×2−1+411yescharacteristic
1600C22C2×#58511yescharacteristic
1601C22C2×#58511yescharacteristic
1602C22C2×#58511yescharacteristic
1603C22H(7,𝔽2)11yescharacteristic
1604C222−1+611yescharacteristic
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—22no—
1610C4—41no—
1611C4—41no—
1612C4—42no—
1613C4—44no—
1614C4—42no—
1615C4—41no—
1616C4—42no—
1617C4—41no—
1618C4—41no—
1619C4—44no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—42no—
1624C4—42no—
1625C4—42no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—44no—
1631C4—44no—
1632C4—42no—
1633C4—42no—
1634C4#349314yes—
1635C4#349514yes—
1636C2—42no—
1637C2—42no—
1638C2—82no—
1639C2—81no—
1640C2C2×#349311yescharacteristic
1641C2C2×#349511yescharacteristic
1642C2#6285611yescharacteristic
1643C2#6292611yescharacteristic
1644C2#6293911yescharacteristic
1645C2#6295911yescharacteristic
1646C2#6296611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34909C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #49618C2semidirect
2. #47912C2semidirect
3. #47790C2semidirect
4. #47696C2semidirect
5. #45186C2semidirect
6. #45128C2semidirect
7. #45125C2semidirect
8. #44898C2semidirect
9. #39802C2semidirect
10. #39737C2semidirect
11. #39480C2semidirect
12. #39263C2semidirect
13. #39158C2semidirect
14. #38943C2semidirect
15. #38225C2semidirect
16. #37960C2semidirect
17. #37953C2semidirect
18. #37937C2semidirect
19. #37888C2semidirect
20. #37879C2semidirect
21. #37623C2semidirect
22. #37406C2semidirect
23. #37351C2semidirect
24. #36586C2semidirect
25. #36459C2semidirect
26. #36288C2semidirect
27. #36193C2semidirect
28. #35652C2semidirect
29. #35608C2semidirect
30. #35280C2semidirect
31. #35200C2semidirect
33. #34394C2semidirect
34. #34188C2semidirect
35. #34060C2semidirect

Maximal subgroups

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

subgroupindex
#496182
#479122
#477902
#476962
#451862
#451282
#451252
#448982
#398022
#397372
#394802
#392632
#391582
#389432
#382252
#379602
#379532
#379372
#378882
#378792
#376232
#374062
#373512
#365862
#364592
#362882
#361932
#356522
#356082
#352802
#352002
#349092
#343942
#341882
#340602