Finite Group Databasebeta

← #8429422

Subgroups — #8429422

Order 512.

4363 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#59684C212yesmaximal, complemented
2#59450C211yesmaximal, characteristic, complemented
3#59393C212yesmaximal, complemented
4#59071C211yesmaximal, characteristic, complemented
5#59055C211yesmaximal, characteristic, complemented
6#57006C214yesmaximal, complemented
7#55897C214yesmaximal, complemented
8#53087C212yesmaximal, complemented
9#53052C212yesmaximal, complemented
10#53047C212yesmaximal, complemented
11#53045C212yesmaximal, complemented
12#52618C214yesmaximal, complemented
13#42901C212yesmaximal, complemented
14#42719C212yesmaximal, complemented
15#42669C212yesmaximal, complemented
16#42653C212yesmaximal, complemented
17#40885C214yesmaximal, complemented
18#39744C211yesmaximal, characteristic, complemented
19#39734C211yesmaximal, characteristic, complemented
20#39655C212yesmaximal, complemented
21#39566C212yesmaximal, complemented
22#39513C211yesmaximal, characteristic, complemented
23#39468C211yesmaximal, characteristic, complemented
24#39285C212yesmaximal, complemented
25#39239C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37628C211yesmaximal, characteristic, complemented
28#37594C212yesmaximal, complemented
29#37519C212yesmaximal, complemented
30#36505C211yesmaximal, characteristic, complemented
31#36449C211yesmaximal, characteristic, complemented
32#36134C211yesmaximal, characteristic, complemented
33#34979C211yesmaximal, characteristic, complemented
34#34793C211yesmaximal, characteristic, complemented
35#34715C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2868C2211yescharacteristic
43#2863C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2851C2212yes—
47#2838C2214yes—
48#2837C2214yes—
49#2837C2214yes—
50#2837C2214yes—
51#2837C2214yes—
52#2836C2214yes—
53#2836C2214yes—
54#2829C2214yes—
55#2829C2214yes—
56#2829C2214yes—
57#2827C2214yes—
58#2827C2214yes—
59#2826C2214yes—
60#2820C2214yes—
61#2810C2214yes—
62#2805C2214yes—
63#2803C2214yes—
64#2803C2214yes—
65#2802C2214yes—
66#2801C2214yes—
67#2800C2214yes—
68#2800C2214yes—
69#2796C2214yes—
70#2796C2214yes—
71#2795C2214yes—
72#2793C2214yes—
73#2793C2214yes—
74#2793C2214yes—
75#2793C2214yes—
76#2792C2214yes—
77#2791C2214yes—
78#2790C2214yes—
79#2790C2214yes—
80#2789C2214yes—
81#2783C2214yes—
82#2780C2214yes—
83#2775C2214yes—
84#2772C2214yes—
85#2771C2214yes—
86#2766C2214yes—
87#2752C2214yes—
88#2747C2214yes—
89#2746C2214yes—
90#2740C2214yes—
91#2740C2214yes—
92#2721C2214yes—
93#2721C2214yes—
94#2721C2214yes—
95#2719C2214yes—
96#2715C2214yes—
97#2691C2214yes—
98#2667C2214yes—
99#2666C2214yes—
100#2666C2214yes—
101#2658C2212yes—
102#2654C2214yes—
103#2654C2214yes—
104#2654C2214yes—
105#2651C2214yes—
106#2651C2214yes—
107#2649C2214yes—
108#2648C2214yes—
109#2647C2212yes—
110#2644C2212yes—
111#2629C2212yes—
112#2625C2212yes—
113#2624C2214yes—
114#2621C2212yes—
115#2621C2212yes—
116#2620C2212yes—
117#2620C2212yes—
118#2616C2212yes—
119#2616C2212yes—
120#2616C2212yes—
121#2611C2214yes—
122#2608C2214yes—
123#2595C2214yes—
124#2590C2214yes—
125#2588C2214yes—
126#2585C2214yes—
127#2578C2214yes—
128#2576C2214yes—
129#2575C2214yes—
130#2573C2214yes—
131#2571C2211yescharacteristic
132#2571C2212yes—
133#2570C2212yes—
134#2568C2211yescharacteristic
135#2567C2212yes—
136#2562C2212yes—
137#2558C2214yes—
138#2552C2212yes—
139#2548C2212yes—
140#2547C2211yescharacteristic
141#2547C2211yescharacteristic
142#2547C2211yescharacteristic
143#2546C2211yescharacteristic
144#2546C2212yes—
145#2546C2211yescharacteristic
146#2545C2212yes—
147#2545C2212yes—
148#2545C2212yes—
149#2544C2212yes—
150#2542C2211yescharacteristic
151#2542C2211yescharacteristic
152#2542C2212yes—
153#2542C2212yes—
154#2538C2212yes—
155#2538C2212yes—
156#2538C2212yes—
157#2538C2211yescharacteristic
158#2536C2212yes—
159#2530C2214yes—
160#2530C2212yes—
161#2528C2212yes—
162#2522C2214yes—
163#2518C2214yes—
164#2518C2214yes—
165#2518C2214yes—
166#2517C2212yes—
167#2516C2214yes—
168#2516C2214yes—
169#2514C2212yes—
170#2513C2212yes—
171#2511C2211yescharacteristic
172#2511C2212yes—
173#2507C2212yes—
174#2507C2212yes—
175#2506C2211yescharacteristic
176#2503C2212yes—
177#2499C2212yes—
178#2499C2211yescharacteristic
179#2497C2212yes—
180#2497C2214yes—
181#2497C2212yes—
182#2495C2212yes—
183#2495C2212yes—
184#2494C2212yes—
185#2494C2211yescharacteristic
186#2489C2212yes—
187#2489C2212yes—
188#2489C2211yescharacteristic
189#2485C2212yes—
190#2485C2212yes—
191#2485C2211yescharacteristic
192#2479C2214yes—
193#2476C2212yes—
194#2475C2214yes—
195#2475C2214yes—
196#2474C2212yes—
197#2460C2214yes—
198#2460C2212yes—
199#2459C2212yes—
200#2456C2212yes—
201#2453C2212yes—
202#2451C2212yes—
203#2451C2211yescharacteristic
204#2448C2212yes—
205#2447C2212yes—
206#2446C2212yes—
207#2446C2212yes—
208#2446C2212yes—
209#2446C2212yes—
210#2446C2212yes—
211#2445C2211yescharacteristic
212#2441C2212yes—
213#2441C2212yes—
214#2441C2211yescharacteristic
215#2441C2212yes—
216#2441C2212yes—
217#2439C2211yescharacteristic
218#2432C2212yes—
219#2432C2212yes—
220#2431C2211yescharacteristic
221#2429C2212yes—
222#2429C2212yes—
223#2429C2212yes—
224#2429C2212yes—
225#2429C2212yes—
226#2429C2212yes—
227#2427C2212yes—
228#2427C2212yes—
229#2426C2212yes—
230#2426C2212yes—
231#2426C2211yescharacteristic
232#2423C2212yes—
233#2423C2212yes—
234#2423C2212yes—
235#2423C2212yes—
236#2423C2212yes—
237#2421C2212yes—
238#2421C2212yes—
239#2421C2212yes—
240#2421C2212yes—
241#2420C2211yescharacteristic
242#2417C2212yes—
243#2415C2211yescharacteristic
244#2415C2212yes—
245#2415C2212yes—
246#2415C2212yes—
247#2414C2211yescharacteristic
248#2407C2211yescharacteristic
249#2401C2212yes—
250#2395C2212yes—
251#2395C2214yes—
252#2392C2212yes—
253#2388C2212yes—
254#2374C2214yes—
255#2367C2212yes—
256#2365C2212yes—
257#2365C2212yes—
258#2365C2211yescharacteristic
259#2365C2211yescharacteristic
260#2362C2212yes—
261#2362C2212yes—
262#2360C2212yes—
263#2357C2212yes—
264#2355C2211yescharacteristic
265#2354C2212yes—
266#2352C2212yes—
267#2351C2212yes—
268Q8×C4⋊C4C2212yes—
269Q8×C4⋊C4C2212yes—
270D4×C4⋊C4C2211yescharacteristic
271#2345C2212yes—
272#2336C2214yes—
273#2327C2212yes—
274#2323C2212yes—
275#2314C2212yes—
276#2311C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2212yes—
279C4×#125C2212yes—
280C4×#125C2211yescharacteristic
281C4×#124C2212yes—
282C4×#124C2212yes—
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2212yes—
289C4×C22⋊Q8C2211yescharacteristic
290C4×#123C2212yes—
291C4×#121C2211yescharacteristic
292#2298C2212yes—
293#2297C2212yes—
294#2295C2211yescharacteristic
295#2293C2211yescharacteristic
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301#557—44no—
302#556—44no—
303#533—44no—
304#533—44no—
305#532—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×#127C2311yescharacteristic
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#123C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×#121C2311yescharacteristic
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C4×#41—44no—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2312yes—
387#401C2314yes—
388#401C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2312yes—
407#400C2312yes—
408#400C2312yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#399C2312yes—
418#399C2314yes—
419#399C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#393C2312yes—
517#392C2312yes—
518#392C2312yes—
519#392C2312yes—
520#392C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#391C2312yes—
541#391C2311yescharacteristic
542#391C2311yescharacteristic
543#391C2311yescharacteristic
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2311yescharacteristic
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2311yescharacteristic
557#390C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2314yes—
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2314yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2314yes—
723#384C2314yes—
724#384C2312yes—
725#384C2312yes—
726#384C2311yescharacteristic
727#383C2314yes—
728#383C2314yes—
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2311yescharacteristic
736#382C2314yes—
737#382C2312yes—
738#382C2314yes—
739#381C2312yes—
740#381C2314yes—
741#381C2314yes—
742#380C2311yescharacteristic
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—44no—
817C2×#41—44no—
818C2×#41—44no—
819C2×#41—42no—
820C2×#41—42no—
821C2×#41—42no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—42no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857#127—42no—
858#126—48no—
859#125—28no—
860#125—42no—
861#125—44no—
862#125—44no—
863#125—44no—
864#125—48no—
865#124—44no—
866#124—44no—
867#124—44no—
868#124—44no—
869#124—42no—
870#124—44no—
871#123—28no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—42no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—42no—
879C22⋊Q8—44no—
880C22⋊Q8—42no—
881C22⋊Q8—44no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887#121—44no—
888#121—42no—
889#121—42no—
890#121—42no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×Q8—42no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—44no—
908C4×D4—42no—
909C4×D4—44no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915#117—44no—
916#117—44no—
917#117—44no—
918#117—42no—
919#117—42no—
920#117—42no—
921#117—44no—
922#117—44no—
923#117—44no—
924C2×C4⋊C4—44no—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C42—24no—
1054C2×C42—24no—
1055C2×C42—44no—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2411yescharacteristic
1099#95C2414yes—
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2512yes—
1167C24C2511yescharacteristic
1168C24C2511yescharacteristic
1169#41—416no—
1170#41—816no—
1171C2×Q8—22no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—42no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—42no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—42no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2512yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2514yes—
1272C22×C4C2514yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C4⋊C4—22no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
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—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—44no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—42no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
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—42no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C42−1+414yes—
1355C22⋊C4—24no—
1356C22⋊C4—24no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—42no—
1363C22⋊C4—42no—
1364C22⋊C4—42no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—24no—
1415C42—24no—
1416C42—22no—
1417C42—24no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—24no—
1422C42—22no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—42no—
1427C42—42no—
1428C42—42no—
1429C42—41no—
1430C42—44no—
1431C42—42no—
1432C42—42no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42H(5,𝔽2)14yes—
1441C23—22no—
1442C23—22no—
1443C23—21no—
1444C23—21no—
1445C23—22no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—21no—
1454C23—22no—
1455C23—22no—
1456C23—21no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23C2611yescharacteristic
1470Q8—48no—
1471Q8—48no—
1472Q8—44no—
1473Q8—44no—
1474Q8—48no—
1475Q8—84no—
1476D4—44no—
1477D4—48no—
1478D4—44no—
1479D4—44no—
1480D4—84no—
1481D4—84no—
1482D4—84no—
1483D4—84no—
1484D4—84no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
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—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—48no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—48no—
1575C2×C4—48no—
1576C2×C4—44no—
1577C2×C4—84no—
1578C2×C4—164no—
1579C2×C4C2×H(5,𝔽2)12yes—
1580C2×C4C2×H(5,𝔽2)12yes—
1581C2×C4C2×H(5,𝔽2)12yes—
1582C2×C4C2×2−1+412yes—
1583C2×C4C2×2−1+412yes—
1584C2×C4C2×2−1+412yes—
1585C2×C4#58512yes—
1586C2×C4#58512yes—
1587C2×C4#58512yes—
1588C2×C4#58512yes—
1589C22—42no—
1590C22—41no—
1591C22—41no—
1592C22—42no—
1593C22—41no—
1594C22—42no—
1595C22—42no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—41no—
1603C22—41no—
1604C22—42no—
1605C22—41no—
1606C22—42no—
1607C22—41no—
1608C22—42no—
1609C22—41no—
1610C22—41no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—41no—
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—22no—
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—41no—
1629C4—41no—
1630C4—42no—
1631C4—44no—
1632C4—44no—
1633C4—41no—
1634C4—41no—
1635C4—42no—
1636C4—42no—
1637C4—42no—
1638C4—44no—
1639C4—42no—
1640C4—42no—
1641C4—41no—
1642C4—42no—
1643C4—42no—
1644C4—42no—
1645C4—42no—
1646C4—41no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—44no—
1652C4—42no—
1653C4#353914yes—
1654C4#356214yes—
1655C2—82no—
1656C2—81no—
1657C2—81no—
1658C2—82no—
1659C2C2×#353911yescharacteristic
1660C2C2×#356211yescharacteristic
1661C2#6276111yescharacteristic
1662C2#6293911yescharacteristic
1663C2#6294211yescharacteristic
1664C2#6296811yescharacteristic
1665C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34715C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59684C2semidirect
2. #59450C2semidirect
3. #59393C2semidirect
4. #59071C2semidirect
5. #59055C2semidirect
6. #57006C2semidirect
7. #55897C2semidirect
8. #53087C2semidirect
9. #53052C2semidirect
10. #53047C2semidirect
11. #53045C2semidirect
12. #52618C2semidirect
13. #42901C2semidirect
14. #42719C2semidirect
15. #42669C2semidirect
16. #42653C2semidirect
17. #40885C2semidirect
18. #39744C2semidirect
19. #39734C2semidirect
20. #39655C2semidirect
21. #39566C2semidirect
22. #39513C2semidirect
23. #39468C2semidirect
24. #39285C2semidirect
25. #39239C2semidirect
26. #37640C2semidirect
27. #37628C2semidirect
28. #37594C2semidirect
29. #37519C2semidirect
30. #36505C2semidirect
31. #36449C2semidirect
32. #36134C2semidirect
33. #34979C2semidirect
34. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#596842
#594502
#593932
#590712
#590552
#570062
#558972
#530872
#530522
#530472
#530452
#526182
#429012
#427192
#426692
#426532
#408852
#397442
#397342
#396552
#395662
#395132
#394682
#392852
#392392
#376402
#376282
#375942
#375192
#365052
#364492
#361342
#349792
#347932
#347152