Finite Group Databasebeta

← #8429536

Subgroups — #8429536

Order 512.

4377 conjugacy classes of subgroups.

The subgroup lattice has 1667 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59639C211yesmaximal, characteristic, complemented
2#59639C212yesmaximal, complemented
3#59551C212yesmaximal, complemented
4#59050C211yesmaximal, characteristic, complemented
5#59042C211yesmaximal, characteristic, complemented
6#58163C214yesmaximal, complemented
7#54371C214yesmaximal, complemented
8#53144C212yesmaximal, complemented
9#53079C212yesmaximal, complemented
10#53054C212yesmaximal, complemented
11#53051C212yesmaximal, complemented
12#52542C214yesmaximal, complemented
13#42937C212yesmaximal, complemented
14#42766C212yesmaximal, complemented
15#42761C212yesmaximal, complemented
16#42692C212yesmaximal, complemented
17#40719C214yesmaximal, complemented
18#39794C212yesmaximal, complemented
19#39643C211yesmaximal, characteristic, complemented
20#39596C211yesmaximal, characteristic, complemented
21#39269C212yesmaximal, complemented
22#39242C212yesmaximal, complemented
23#39067C212yesmaximal, complemented
24#38958C211yesmaximal, characteristic, complemented
25#38940C211yesmaximal, characteristic, complemented
26#37635C211yesmaximal, characteristic, complemented
27#37631C211yesmaximal, characteristic, complemented
28#37593C212yesmaximal, complemented
29#37509C212yesmaximal, complemented
30#36480C211yesmaximal, characteristic, complemented
31#36411C211yesmaximal, characteristic, complemented
32#36151C211yesmaximal, characteristic, complemented
33#34979C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2863C2212yes—
43#2862C2211yescharacteristic
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2854C2212yes—
47#2838C2214yes—
48#2835C2214yes—
49#2832C2214yes—
50#2832C2214yes—
51#2832C2214yes—
52#2832C2214yes—
53#2831C2214yes—
54#2830C2214yes—
55#2829C2214yes—
56#2829C2214yes—
57#2828C2214yes—
58#2827C2214yes—
59#2824C2214yes—
60#2817C2214yes—
61#2808C2214yes—
62#2804C2214yes—
63#2799C2214yes—
64#2798C2214yes—
65#2798C2214yes—
66#2798C2214yes—
67#2797C2214yes—
68#2796C2214yes—
69#2795C2214yes—
70#2790C2214yes—
71#2786C2214yes—
72#2782C2214yes—
73#2775C2214yes—
74#2775C2214yes—
75#2772C2214yes—
76#2771C2214yes—
77#2763C2214yes—
78#2759C2214yes—
79#2759C2214yes—
80#2758C2214yes—
81#2756C2214yes—
82#2755C2214yes—
83#2755C2214yes—
84#2754C2214yes—
85#2753C2214yes—
86#2752C2214yes—
87#2751C2214yes—
88#2751C2214yes—
89#2739C2214yes—
90#2738C2214yes—
91#2737C2214yes—
92#2730C2214yes—
93#2720C2214yes—
94#2700C2214yes—
95#2700C2214yes—
96#2692C2214yes—
97#2690C2214yes—
98#2663C2214yes—
99#2660C2212yes—
100#2655C2214yes—
101#2653C2214yes—
102#2652C2214yes—
103#2651C2214yes—
104#2651C2214yes—
105#2650C2214yes—
106#2650C2214yes—
107#2650C2214yes—
108#2650C2214yes—
109#2647C2212yes—
110#2645C2212yes—
111#2642C2212yes—
112#2640C2212yes—
113#2640C2212yes—
114#2634C2214yes—
115#2628C2212yes—
116#2628C2212yes—
117#2625C2212yes—
118#2625C2212yes—
119#2625C2212yes—
120#2620C2212yes—
121#2611C2214yes—
122#2605C2214yes—
123#2596C2214yes—
124#2596C2214yes—
125#2596C2214yes—
126#2592C2214yes—
127#2592C2212yes—
128#2588C2214yes—
129#2588C2214yes—
130#2586C2214yes—
131#2582C2212yes—
132#2581C2212yes—
133#2581C2212yes—
134#2580C2212yes—
135#2575C2214yes—
136#2574C2214yes—
137#2573C2214yes—
138#2568C2211yescharacteristic
139#2568C2211yescharacteristic
140#2568C2212yes—
141#2567C2211yescharacteristic
142#2567C2211yescharacteristic
143#2567C2212yes—
144#2563C2212yes—
145#2557C2214yes—
146#2551C2211yescharacteristic
147#2547C2211yescharacteristic
148#2547C2211yescharacteristic
149#2546C2211yescharacteristic
150#2542C2212yes—
151#2542C2211yescharacteristic
152#2540C2212yes—
153#2538C2211yescharacteristic
154#2536C2212yes—
155#2536C2212yes—
156#2532C2212yes—
157#2526C2212yes—
158#2520C2214yes—
159#2518C2212yes—
160#2513C2214yes—
161#2513C2212yes—
162#2513C2211yescharacteristic
163#2511C2214yes—
164#2511C2212yes—
165#2511C2212yes—
166#2509C2212yes—
167#2509C2212yes—
168#2508C2212yes—
169#2508C2211yescharacteristic
170#2500C2211yescharacteristic
171#2499C2212yes—
172#2499C2212yes—
173#2499C2212yes—
174#2499C2212yes—
175#2499C2212yes—
176#2497C2212yes—
177#2497C2211yescharacteristic
178#2495C2212yes—
179#2494C2212yes—
180#2492C2212yes—
181#2492C2212yes—
182#2492C2212yes—
183#2492C2212yes—
184#2492C2212yes—
185#2492C2212yes—
186#2491C2211yescharacteristic
187#2490C2212yes—
188#2489C2212yes—
189#2489C2212yes—
190#2485C2212yes—
191#2485C2212yes—
192#2485C2211yescharacteristic
193#2477C2214yes—
194#2477C2212yes—
195#2475C2212yes—
196#2474C2214yes—
197#2465C2214yes—
198#2465C2214yes—
199#2463C2212yes—
200#2461C2214yes—
201#2460C2212yes—
202#2459C2212yes—
203#2458C2214yes—
204#2453C2212yes—
205#2453C2212yes—
206#2452C2211yescharacteristic
207#2451C2212yes—
208#2451C2212yes—
209#2448C2212yes—
210#2448C2214yes—
211#2446C2212yes—
212#2446C2211yescharacteristic
213#2441C2212yes—
214#2439C2211yescharacteristic
215#2439C2212yes—
216#2439C2212yes—
217#2439C2212yes—
218#2439C2212yes—
219#2439C2211yescharacteristic
220#2436C2212yes—
221#2434C2212yes—
222#2432C2212yes—
223#2432C2211yescharacteristic
224#2427C2212yes—
225#2427C2211yescharacteristic
226#2426C2212yes—
227#2426C2212yes—
228#2422C2212yes—
229#2421C2212yes—
230#2421C2212yes—
231#2421C2212yes—
232#2421C2211yescharacteristic
233#2421C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2415C2212yes—
237#2415C2212yes—
238#2415C2212yes—
239#2415C2212yes—
240#2415C2212yes—
241#2415C2211yescharacteristic
242#2414C2211yescharacteristic
243#2414C2212yes—
244#2414C2212yes—
245#2409C2212yes—
246#2409C2212yes—
247#2407C2212yes—
248#2407C2211yescharacteristic
249#2398C2212yes—
250#2398C2212yes—
251#2395C2214yes—
252#2392C2212yes—
253#2392C2212yes—
254#2369C2211yescharacteristic
255#2367C2212yes—
256#2365C2211yescharacteristic
257#2365C2212yes—
258#2362C2212yes—
259#2362C2212yes—
260#2362C2212yes—
261#2362C2212yes—
262#2362C2212yes—
263#2355C2214yes—
264#2355C2211yescharacteristic
265#2355C2212yes—
266#2354C2211yescharacteristic
267#2354C2212yes—
268#2354C2212yes—
269#2351C2212yes—
270#2347C2212yes—
271Q8×C22⋊C4C2212yes—
272#2335C2214yes—
273#2331C2212yes—
274#2324C2212yes—
275#2320C2212yes—
276#2310C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2212yes—
279C4×C4⋊Q8C2212yes—
280C4×C4⋊Q8C2211yescharacteristic
281C4×#124C2211yescharacteristic
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2298C2212yes—
292#2296C2212yes—
293#2295C2211yescharacteristic
294#2293C2211yescharacteristic
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301#555—44no—
302D4×Q8—44no—
303#533—44no—
304#533—44no—
305#533—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#124C2311yescharacteristic
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2314yes—
324C2×#123C2314yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C4×#41—44no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2312yes—
385#401C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2312yes—
454#397C2312yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2314yes—
466#396C2312yes—
467#396C2312yes—
468#395C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#394C2312yes—
479#394C2312yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2312yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2312yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2312yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2314yes—
507#393C2314yes—
508#393C2312yes—
509#393C2312yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2312yes—
515#392C2314yes—
516#392C2312yes—
517#392C2312yes—
518#392C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2311yescharacteristic
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2311yescharacteristic
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2314yes—
541#391C2312yes—
542#391C2314yes—
543#391C2314yes—
544#391C2312yes—
545#391C2314yes—
546#391C2314yes—
547#391C2312yes—
548#391C2314yes—
549#391C2311yescharacteristic
550#391C2314yes—
551#391C2312yes—
552#391C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2311yescharacteristic
557#391C2312yes—
558#391C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2314yes—
573#390C2311yescharacteristic
574#390C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2314yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2314yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#387C2312yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2314yes—
728#383C2314yes—
729#383C2314yes—
730#383C2312yes—
731#382C2314yes—
732#382C2312yes—
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#382C2312yes—
740#382C2312yes—
741#382C2314yes—
742#382C2311yescharacteristic
743#381C2312yes—
744#381C2314yes—
745#381C2314yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2312yes—
813#376C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—42no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2414yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2414yes—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—24no—
853C4⋊Q8—24no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—42no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—42no—
860#125—44no—
861#125—44no—
862#125—44no—
863#124—44no—
864#124—44no—
865#124—44no—
866#124—42no—
867#124—48no—
868#123—48no—
869C22⋊Q8—28no—
870C22⋊Q8—48no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—42no—
878C22⋊Q8—42no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—42no—
884C22⋊Q8—44no—
885#121—24no—
886#121—42no—
887#121—42no—
888#121—44no—
889#121—44no—
890C4×Q8—24no—
891C4×Q8—24no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—48no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—42no—
905C4×D4—44no—
906C4×D4—42no—
907C4×D4—42no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—42no—
913C4×D4—44no—
914#117—24no—
915#117—44no—
916#117—44no—
917#117—44no—
918#117—44no—
919#117—42no—
920#117—42no—
921#117—44no—
922#117—44no—
923#117—44no—
924#117—44no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2411yescharacteristic
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C42—24no—
1048C2×C42—24no—
1049C2×C42—44no—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
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#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163C24C2512yes—
1164C24C2512yes—
1165C24C2511yescharacteristic
1166C24C2511yescharacteristic
1167#41—416no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—44no—
1185C2×Q8—44no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—816no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—42no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—24no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—44no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2514yes—
1269C22×C4C2514yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2514yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—22no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—28no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—22no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C42−1+414yes—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—24no—
1354C22⋊C4—24no—
1355C22⋊C4—28no—
1356C22⋊C4—22no—
1357C22⋊C4—24no—
1358C22⋊C4—42no—
1359C22⋊C4—42no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—44no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—42no—
1378C22⋊C4—42no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—41no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—22no—
1417C42—24no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—24no—
1423C42—22no—
1424C42—42no—
1425C42—42no—
1426C42—42no—
1427C42—41no—
1428C42—44no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—41no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42H(5,𝔽2)14yes—
1439C23—22no—
1440C23—22no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—22no—
1446C23—21no—
1447C23—22no—
1448C23—21no—
1449C23—21no—
1450C23—22no—
1451C23—21no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—22no—
1460C23—22no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23C2611yescharacteristic
1468Q8—48no—
1469Q8—44no—
1470Q8—44no—
1471Q8—48no—
1472Q8—84no—
1473Q8—84no—
1474Q8—88no—
1475Q8—84no—
1476Q8—88no—
1477D4—44no—
1478D4—48no—
1479D4—44no—
1480D4—44no—
1481D4—84no—
1482D4—84no—
1483D4—84no—
1484D4—164no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—21no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—44no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—48no—
1577C2×C4—84no—
1578C2×C4—82no—
1579C2×C4—88no—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4C2×H(5,𝔽2)12yes—
1582C2×C4C2×H(5,𝔽2)12yes—
1583C2×C4C2×2−1+414yes—
1584C2×C4C2×2−1+412yes—
1585C2×C4#58512yes—
1586C2×C4#58512yes—
1587C2×C4#58512yes—
1588C2×C4#58512yes—
1589C22—42no—
1590C22—42no—
1591C22—41no—
1592C22—41no—
1593C22—42no—
1594C22—41no—
1595C22—41no—
1596C22—42no—
1597C22—41no—
1598C22—41no—
1599C22—42no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—41no—
1604C22—42no—
1605C22—41no—
1606C22—41no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—41no—
1611C22—42no—
1612C22—41no—
1613C22—41no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22C22×H(5,𝔽2)11yescharacteristic
1618C22C22×2−1+411yescharacteristic
1619C22C2×#58511yescharacteristic
1620C22C2×#58511yescharacteristic
1621C22C2×#58511yescharacteristic
1622C22C2×#58511yescharacteristic
1623C222−1+611yescharacteristic
1624C4—24no—
1625C4—22no—
1626C4—22no—
1627C4—41no—
1628C4—41no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—44no—
1633C4—41no—
1634C4—41no—
1635C4—42no—
1636C4—44no—
1637C4—41no—
1638C4—44no—
1639C4—42no—
1640C4—42no—
1641C4—42no—
1642C4—41no—
1643C4—41no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—41no—
1649C4—42no—
1650C4—41no—
1651C4—44no—
1652C4—42no—
1653C4#354014yes—
1654C4#355414yes—
1655C2—82no—
1656C2—81no—
1657C2—82no—
1658C2—81no—
1659C2C2×#354011yescharacteristic
1660C2C2×#355411yescharacteristic
1661C2#6276211yescharacteristic
1662C2#6293611yescharacteristic
1663C2#6295311yescharacteristic
1664C2#6295411yescharacteristic
1665C2#6302511yescharacteristic
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. #59639C2semidirect
2. #59639C2semidirect
3. #59551C2semidirect
4. #59050C2semidirect
5. #59042C2semidirect
6. #58163C2semidirect
7. #54371C2semidirect
8. #53144C2semidirect
9. #53079C2semidirect
10. #53054C2semidirect
11. #53051C2semidirect
12. #52542C2semidirect
13. #42937C2semidirect
14. #42766C2semidirect
15. #42761C2semidirect
16. #42692C2semidirect
17. #40719C2semidirect
18. #39794C2semidirect
19. #39643C2semidirect
20. #39596C2semidirect
21. #39269C2semidirect
22. #39242C2semidirect
23. #39067C2semidirect
24. #38958C2semidirect
25. #38940C2semidirect
26. #37635C2semidirect
27. #37631C2semidirect
28. #37593C2semidirect
29. #37509C2semidirect
30. #36480C2semidirect
31. #36411C2semidirect
32. #36151C2semidirect
33. #34979C2semidirect
34. #34800C2semidirect
35. #34720C2semidirect

Maximal subgroups

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

subgroupindex
#596392
#595512
#590502
#590422
#581632
#543712
#531442
#530792
#530542
#530512
#525422
#429372
#427662
#427612
#426922
#407192
#397942
#396432
#395962
#392692
#392422
#390672
#389582
#389402
#376352
#376312
#375932
#375092
#364802
#364112
#361512
#349792
#348002
#347202