Finite Group Databasebeta

← #8174516

Subgroups — #8174516

Order 512.

4399 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59219C211yesmaximal, characteristic, complemented
2#59218C211yesmaximal, characteristic, complemented
3#59067C211yesmaximal, characteristic, complemented
4#59050C211yesmaximal, characteristic, complemented
5#58852C214yesmaximal, complemented
6#58604C214yesmaximal, complemented
7#56785C214yesmaximal, complemented
8#56622C214yesmaximal, complemented
9#53134C212yesmaximal, complemented
10#53045C212yesmaximal, complemented
11#53044C212yesmaximal, complemented
12#52980C212yesmaximal, complemented
13#45405C212yesmaximal, complemented
14#45262C212yesmaximal, complemented
15#42935C212yesmaximal, complemented
16#42906C212yesmaximal, complemented
17#42855C212yesmaximal, complemented
18#42849C212yesmaximal, complemented
19#42719C212yesmaximal, complemented
20#42662C212yesmaximal, complemented
21#39607C211yesmaximal, characteristic, complemented
22#39481C211yesmaximal, characteristic, complemented
23#39261C212yesmaximal, complemented
24#39146C211yesmaximal, characteristic, complemented
25#39127C211yesmaximal, characteristic, complemented
26#38931C211yesmaximal, characteristic, complemented
27#38922C211yesmaximal, characteristic, complemented
28#38128C212yesmaximal, complemented
29#37510C212yesmaximal, complemented
30#37341C212yesmaximal, complemented
31#36445C211yesmaximal, characteristic, complemented
32#36411C211yesmaximal, characteristic, complemented
33#35297C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34614C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#529C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2857C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2212yes—
46#2857C2211yescharacteristic
47#2854C2212yes—
48#2838C2214yes—
49#2837C2214yes—
50#2837C2214yes—
51#2836C2214yes—
52#2834C2214yes—
53#2830C2214yes—
54#2829C2214yes—
55#2829C2214yes—
56#2829C2214yes—
57#2828C2214yes—
58#2827C2214yes—
59#2813C2214yes—
60#2803C2214yes—
61#2803C2214yes—
62#2803C2214yes—
63#2802C2214yes—
64#2801C2214yes—
65#2800C2214yes—
66#2795C2214yes—
67#2795C2214yes—
68#2793C2214yes—
69#2793C2214yes—
70#2792C2214yes—
71#2787C2214yes—
72#2783C2214yes—
73#2781C2214yes—
74#2780C2214yes—
75#2779C2214yes—
76#2777C2214yes—
77#2773C2214yes—
78#2770C2214yes—
79#2770C2214yes—
80#2768C2214yes—
81#2765C2214yes—
82#2758C2214yes—
83#2756C2214yes—
84#2755C2214yes—
85#2746C2214yes—
86#2742C2214yes—
87#2741C2214yes—
88#2740C2214yes—
89#2740C2214yes—
90#2739C2214yes—
91#2730C2214yes—
92#2727C2214yes—
93#2725C2214yes—
94#2721C2214yes—
95#2720C2214yes—
96#2718C2214yes—
97#2715C2214yes—
98#2714C2214yes—
99#2707C2214yes—
100#2707C2214yes—
101#2707C2214yes—
102#2706C2214yes—
103#2705C2214yes—
104#2704C2214yes—
105#2701C2214yes—
106#2698C2214yes—
107#2672C2214yes—
108#2664C2214yes—
109#2655C2214yes—
110#2654C2214yes—
111#2652C2214yes—
112#2651C2214yes—
113#2651C2214yes—
114#2649C2214yes—
115#2648C2214yes—
116#2647C2212yes—
117#2645C2212yes—
118#2637C2212yes—
119#2636C2212yes—
120#2630C2212yes—
121#2630C2212yes—
122#2629C2211yescharacteristic
123#2629C2211yescharacteristic
124#2629C2212yes—
125#2629C2212yes—
126#2625C2211yescharacteristic
127#2625C2212yes—
128#2624C2212yes—
129#2624C2211yescharacteristic
130#2624C2212yes—
131#2620C2211yescharacteristic
132#2620C2211yescharacteristic
133#2616C2212yes—
134#2616C2211yescharacteristic
135#2615C2211yescharacteristic
136#2601C2214yes—
137#2600C2212yes—
138#2600C2212yes—
139#2599C2212yes—
140#2598C2212yes—
141#2595C2214yes—
142#2594C2214yes—
143#2594C2214yes—
144#2593C2214yes—
145#2590C2214yes—
146#2590C2214yes—
147#2585C2214yes—
148#2584C2212yes—
149#2581C2211yescharacteristic
150#2581C2212yes—
151#2580C2211yescharacteristic
152#2571C2211yescharacteristic
153#2570C2212yes—
154#2567C2211yescharacteristic
155#2567C2211yescharacteristic
156#2562C2212yes—
157#2562C2212yes—
158#2562C2212yes—
159#2559C2214yes—
160#2552C2211yescharacteristic
161#2552C2212yes—
162#2552C2212yes—
163#2547C2211yescharacteristic
164#2545C2212yes—
165#2542C2212yes—
166#2542C2211yescharacteristic
167#2540C2212yes—
168#2538C2211yescharacteristic
169#2538C2212yes—
170#2538C2212yes—
171#2538C2211yescharacteristic
172#2538C2212yes—
173#2537C2212yes—
174#2536C2212yes—
175#2536C2212yes—
176#2536C2211yescharacteristic
177#2536C2212yes—
178#2535C2211yescharacteristic
179#2525C2214yes—
180#2522C2214yes—
181#2513C2212yes—
182#2512C2212yes—
183#2509C2214yes—
184#2508C2212yes—
185#2507C2212yes—
186#2507C2212yes—
187#2507C2212yes—
188#2506C2212yes—
189#2499C2212yes—
190#2497C2214yes—
191#2497C2212yes—
192#2497C2212yes—
193#2497C2212yes—
194#2496C2212yes—
195#2496C2212yes—
196#2496C2212yes—
197#2495C2212yes—
198#2494C2212yes—
199#2494C2212yes—
200#2494C2212yes—
201#2490C2212yes—
202#2490C2212yes—
203#2487C2212yes—
204#2486C2212yes—
205#2485C2212yes—
206#2485C2212yes—
207#2485C2212yes—
208#2485C2211yescharacteristic
209#2485C2211yescharacteristic
210#2485C2212yes—
211#2485C2212yes—
212#2474C2214yes—
213#2470C2214yes—
214#2462C2214yes—
215#2461C2214yes—
216#2454C2212yes—
217#2454C2214yes—
218#2453C2212yes—
219#2453C2212yes—
220#2453C2212yes—
221#2448C2214yes—
222#2446C2212yes—
223#2442C2212yes—
224#2441C2212yes—
225#2441C2214yes—
226#2441C2212yes—
227#2441C2212yes—
228#2441C2212yes—
229#2429C2212yes—
230#2429C2212yes—
231#2427C2212yes—
232#2427C2212yes—
233#2426C2212yes—
234#2426C2212yes—
235#2423C2212yes—
236#2423C2212yes—
237#2423C2212yes—
238#2422C2212yes—
239#2422C2212yes—
240#2421C2212yes—
241#2416C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2415C2212yes—
245#2415C2212yes—
246#2415C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2407C2212yes—
250#2407C2211yescharacteristic
251#2407C2211yescharacteristic
252#2396C2212yes—
253#2395C2212yes—
254#2392C2212yes—
255#2392C2212yes—
256#2392C2212yes—
257#2388C2212yes—
258#2370C2212yes—
259#2369C2211yescharacteristic
260#2365C2211yescharacteristic
261#2362C2212yes—
262#2362C2212yes—
263#2362C2212yes—
264#2362C2212yes—
265#2360C2212yes—
266#2357C2212yes—
267#2354C2211yescharacteristic
268#2354C2212yes—
269#2354C2212yes—
270Q8×C4⋊C4C2211yescharacteristic
271Q8×C4⋊C4C2211yescharacteristic
272Q8×C4⋊C4C2212yes—
273Q8×C4⋊C4C2212yes—
274D4×C4⋊C4C2211yescharacteristic
275#2341C2212yes—
276#2326C2212yes—
277#2323C2212yes—
278#2323C2212yes—
279#2323C2212yes—
280#2323C2212yes—
281#2320C2212yes—
282#2316C2212yes—
283#2314C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293#2296C2212yes—
294#2290C2212yes—
295#2290C2212yes—
296#2285C2211yescharacteristic
297#2285C2211yescharacteristic
298#2283C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301#557—44no—
302#555—44no—
303#533—44no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307#529—44no—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2311yescharacteristic
315C2×#125C2314yes—
316C2×#125C2314yes—
317C2×#124C2312yes—
318C2×#124C2311yescharacteristic
319C2×#124C2314yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2311yescharacteristic
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×#121C2312yes—
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2314yes—
346C4×#41—44no—
347C4×#41—44no—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2311yescharacteristic
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C22×C4⋊C4C2312yes—
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2312yes—
394#401C2314yes—
395#401C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#396C2312yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2312yes—
485#396C2312yes—
486#396C2312yes—
487#396C2312yes—
488#396C2312yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2312yes—
496#395C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2312yes—
520#394C2312yes—
521#394C2312yes—
522#394C2312yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#393C2312yes—
529#393C2312yes—
530#392C2312yes—
531#392C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2312yes—
535#392C2312yes—
536#392C2312yes—
537#392C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2311yescharacteristic
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#391C2312yes—
549#391C2312yes—
550#391C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2311yescharacteristic
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2314yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2312yes—
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2311yescharacteristic
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2314yes—
618#389C2312yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2312yes—
695#387C2312yes—
696#387C2314yes—
697#387C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2314yes—
724#384C2312yes—
725#384C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2314yes—
733#384C2314yes—
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#383C2314yes—
737#383C2312yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2314yes—
742#382C2311yescharacteristic
743#382C2312yes—
744#382C2312yes—
745#381C2312yes—
746#381C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2314yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2314yes—
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816C2×#41—24no—
817C2×#41—42no—
818C2×#41—42no—
819C2×#41—42no—
820C2×#41—42no—
821C2×#41—42no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—44no—
856#126—44no—
857#126—84no—
858#126—84no—
859#125—44no—
860#125—42no—
861#125—44no—
862#125—44no—
863#125—48no—
864#125—84no—
865#124—44no—
866#124—42no—
867#124—48no—
868#123—44no—
869#123—84no—
870#123—84no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—24no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—42no—
878C22⋊Q8—44no—
879C22⋊Q8—44no—
880C22⋊Q8—42no—
881C22⋊Q8—42no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—82no—
885C22⋊Q8—82no—
886#121—42no—
887#121—42no—
888#121—42no—
889#121—42no—
890#121—42no—
891#121—44no—
892#121—44no—
893#121—84no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—42no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—42no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—42no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—42no—
918C4×D4—42no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923#117—44no—
924#117—42no—
925#117—42no—
926#117—42no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—42no—
931#117—44no—
932#117—44no—
933#117—44no—
934#117—82no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C42—24no—
1076C2×C42—24no—
1077C2×C42—24no—
1078C2×C42—44no—
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2512yes—
1173C24C2512yes—
1174C24C2511yescharacteristic
1175C24C2511yescharacteristic
1176C24C2511yescharacteristic
1177#41—416no—
1178#41—416no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—41no—
1189C2×Q8—41no—
1190C2×Q8—41no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×Q82−1+414yes—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—42no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—42no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—42no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—44no—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2514yes—
1289C22×C4C2514yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2514yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—22no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—42no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—42no—
1379C4⋊C4—44no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—28no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—44no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—42no—
1457C42—42no—
1458C42—44no—
1459C42—44no—
1460C42—44no—
1461C42—44no—
1462C42—44no—
1463C42—44no—
1464C42—44no—
1465C42—44no—
1466C42—44no—
1467C42H(5,𝔽2)14yes—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—22no—
1477C23—21no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—22no—
1493C23—21no—
1494C23—21no—
1495C23—22no—
1496C23—21no—
1497C23—22no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—22no—
1502C23—22no—
1503C23C2611yescharacteristic
1504Q8—28no—
1505Q8—44no—
1506Q8—44no—
1507Q8—48no—
1508Q8—84no—
1509D4—48no—
1510D4—44no—
1511D4—44no—
1512D4—44no—
1513D4—44no—
1514D4—44no—
1515D4—84no—
1516D4—84no—
1517D4—84no—
1518D4—84no—
1519D4—84no—
1520D4—164no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—21no—
1603C2×C4—44no—
1604C2×C4—48no—
1605C2×C4—48no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—48no—
1612C2×C4—44no—
1613C2×C4—82no—
1614C2×C4—82no—
1615C2×C4—84no—
1616C2×C4—164no—
1617C2×C4C2×H(5,𝔽2)12yes—
1618C2×C4C2×H(5,𝔽2)12yes—
1619C2×C4C2×H(5,𝔽2)12yes—
1620C2×C4C2×2−1+414yes—
1621C2×C4C2×2−1+412yes—
1622C2×C4#58512yes—
1623C2×C4#58512yes—
1624C2×C4#58512yes—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—42no—
1634C22—42no—
1635C22—41no—
1636C22—41no—
1637C22—42no—
1638C22—41no—
1639C22—42no—
1640C22—41no—
1641C22—41no—
1642C22—42no—
1643C22—42no—
1644C22—41no—
1645C22—42no—
1646C22—41no—
1647C22—41no—
1648C22—42no—
1649C22—41no—
1650C22—42no—
1651C22—41no—
1652C22—41no—
1653C22—42no—
1654C22—41no—
1655C22—42no—
1656C22—41no—
1657C22—41no—
1658C22—42no—
1659C22—41no—
1660C22C22×H(5,𝔽2)11yescharacteristic
1661C22C22×2−1+411yescharacteristic
1662C22C2×#58511yescharacteristic
1663C22C2×#58511yescharacteristic
1664C22C2×#58511yescharacteristic
1665C22H(7,𝔽2)11yescharacteristic
1666C222−1+611yescharacteristic
1667C4—24no—
1668C4—22no—
1669C4—41no—
1670C4—41no—
1671C4—42no—
1672C4—41no—
1673C4—42no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—42no—
1678C4—44no—
1679C4—41no—
1680C4—41no—
1681C4—42no—
1682C4—41no—
1683C4—42no—
1684C4—44no—
1685C4—42no—
1686C4—42no—
1687C4—42no—
1688C4—42no—
1689C4—44no—
1690C4—42no—
1691C4—42no—
1692C4—42no—
1693C4—44no—
1694C4—42no—
1695C4#353914yes—
1696C4#354114yes—
1697C2—81no—
1698C2—82no—
1699C2—81no—
1700C2—81no—
1701C2—82no—
1702C2C2×#354111yescharacteristic
1703C2C2×#353911yescharacteristic
1704C2#6287511yescharacteristic
1705C2#6293611yescharacteristic
1706C2#6293711yescharacteristic
1707C2#6295211yescharacteristic
1708C2#6295311yescharacteristic
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. #59219C2semidirect
2. #59218C2semidirect
3. #59067C2semidirect
4. #59050C2semidirect
5. #58852C2semidirect
6. #58604C2semidirect
7. #56785C2semidirect
8. #56622C2semidirect
9. #53134C2semidirect
10. #53045C2semidirect
11. #53044C2semidirect
12. #52980C2semidirect
13. #45405C2semidirect
14. #45262C2semidirect
15. #42935C2semidirect
16. #42906C2semidirect
17. #42855C2semidirect
18. #42849C2semidirect
19. #42719C2semidirect
20. #42662C2semidirect
21. #39607C2semidirect
22. #39481C2semidirect
23. #39261C2semidirect
24. #39146C2semidirect
25. #39127C2semidirect
26. #38931C2semidirect
27. #38922C2semidirect
28. #38128C2semidirect
29. #37510C2semidirect
30. #37341C2semidirect
31. #36445C2semidirect
32. #36411C2semidirect
33. #35297C2semidirect
34. #34909C2semidirect
35. #34614C2semidirect

Maximal subgroups

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

subgroupindex
#592192
#592182
#590672
#590502
#588522
#586042
#567852
#566222
#531342
#530452
#530442
#529802
#454052
#452622
#429352
#429062
#428552
#428492
#427192
#426622
#396072
#394812
#392612
#391462
#391272
#389312
#389222
#381282
#375102
#373412
#364452
#364112
#352972
#349092
#346142