Finite Group Databasebeta

← #7986996

Subgroups — #7986996

Order 512.

4561 conjugacy classes of subgroups.

The subgroup lattice has 1653 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59682C212yesmaximal, complemented
2#59564C212yesmaximal, complemented
3#59427C211yesmaximal, characteristic, complemented
4#59079C211yesmaximal, characteristic, complemented
5#59071C211yesmaximal, characteristic, complemented
6#51572C214yesmaximal, complemented
7#50983C214yesmaximal, complemented
8#45634C212yesmaximal, complemented
9#45512C212yesmaximal, complemented
10#45415C212yesmaximal, complemented
11#45371C212yesmaximal, complemented
12#44723C214yesmaximal, complemented
13#42713C212yesmaximal, complemented
14#42675C212yesmaximal, complemented
15#41697C214yesmaximal, complemented
16#40106C212yesmaximal, complemented
17#39979C212yesmaximal, complemented
18#39925C212yesmaximal, complemented
19#39724C211yesmaximal, characteristic, complemented
20#39478C212yesmaximal, complemented
21#38921C211yesmaximal, characteristic, complemented
22#38215C212yesmaximal, complemented
23#36562C211yesmaximal, characteristic, complemented
24#36286C211yesmaximal, characteristic, complemented
25#36209C212yesmaximal, complemented
26#36193C211yesmaximal, characteristic, complemented
27#36186C211yesmaximal, characteristic, complemented
28#36151C211yesmaximal, characteristic, complemented
29#35241C211yesmaximal, characteristic, complemented
30#35173C211yesmaximal, characteristic, complemented
31#35108C212yesmaximal
32#34951C211yesmaximal, characteristic, complemented
33#34919C211yesmaximal, characteristic
34#34482C212yesmaximal, complemented
35C4×#554C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#552C2212yes—
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#529C2211yescharacteristic
44#2863C2212yes—
45#2862C2211yescharacteristic
46#2859C2212yes—
47#2857C2211yescharacteristic
48#2857C2212yes—
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2857C2212yes—
52#2855C2212yes—
53#2854C2212yes—
54#2850C2212yes—
55#2839C2214yes—
56#2814C2214yes—
57#2802C2214yes—
58#2802C2214yes—
59#2792C2214yes—
60#2788C2214yes—
61#2786C2214yes—
62#2783C2214yes—
63#2783C2214yes—
64#2774C2214yes—
65#2772C2214yes—
66#2772C2214yes—
67#2772C2214yes—
68#2767C2214yes—
69#2767C2214yes—
70#2763C2214yes—
71#2755C2214yes—
72#2750C2214yes—
73#2747C2214yes—
74#2747C2214yes—
75#2747C2214yes—
76#2744C2214yes—
77#2739C2214yes—
78#2739C2214yes—
79#2728C2214yes—
80#2726C2214yes—
81#2725C2214yes—
82#2719C2214yes—
83#2719C2214yes—
84#2717C2214yes—
85#2704C2214yes—
86#2702C2214yes—
87#2698C2214yes—
88#2690C2214yes—
89#2680C2214yes—
90#2666C2214yes—
91#2664C2214yes—
92#2659C2214yes—
93#2654C2214yes—
94#2650C2214yes—
95#2630C2214yes—
96#2625C2212yes—
97#2625C2214yes—
98#2621C2212yes—
99#2612C2214yes—
100#2608C2214yes—
101#2606C2214yes—
102#2605C2214yes—
103#2592C2212yes—
104#2588C2214yes—
105#2587C2214yes—
106#2585C2214yes—
107#2584C2214yes—
108#2584C2212yes—
109#2584C2212yes—
110#2582C2211yescharacteristic
111#2581C2212yes—
112#2581C2212yes—
113#2570C2212yes—
114#2568C2212yes—
115#2568C2211yescharacteristic
116#2568C2212yes—
117#2568C2211yescharacteristic
118#2567C2211yescharacteristic
119#2567C2212yes—
120#2567C2211yescharacteristic
121#2566C2212yes—
122#2565C2212yes—
123#2565C2212yes—
124#2560C2212yes—
125#2558C2212yes—
126#2556C2214yes—
127#2556C2214yes—
128#2552C2212yes—
129#2552C2211yescharacteristic
130#2550C2211yescharacteristic
131#2550C2212yes—
132#2547C2211yescharacteristic
133#2546C2212yes—
134#2546C2211yescharacteristic
135#2546C2211yescharacteristic
136#2545C2211yescharacteristic
137#2545C2212yes—
138#2545C2212yes—
139#2542C2211yescharacteristic
140#2540C2211yescharacteristic
141#2536C2212yes—
142#2536C2211yescharacteristic
143#2532C2214yes—
144#2531C2214yes—
145#2529C2214yes—
146#2526C2214yes—
147#2525C2214yes—
148#2522C2214yes—
149#2520C2214yes—
150#2519C2212yes—
151#2519C2214yes—
152#2515C2214yes—
153#2512C2212yes—
154#2511C2212yes—
155#2511C2214yes—
156#2511C2212yes—
157#2511C2212yes—
158#2509C2212yes—
159#2508C2214yes—
160#2508C2214yes—
161#2508C2214yes—
162#2508C2212yes—
163#2507C2212yes—
164#2506C2212yes—
165#2498C2214yes—
166#2498C2214yes—
167#2497C2212yes—
168#2495C2212yes—
169#2495C2214yes—
170#2495C2214yes—
171#2491C2211yescharacteristic
172#2489C2212yes—
173#2489C2212yes—
174#2489C2211yescharacteristic
175#2489C2212yes—
176#2489C2212yes—
177#2489C2212yes—
178#2489C2212yes—
179#2489C2212yes—
180#2489C2212yes—
181#2486C2212yes—
182#2485C2214yes—
183#2485C2214yes—
184#2475C2214yes—
185#2474C2214yes—
186#2470C2214yes—
187#2461C2212yes—
188#2457C2214yes—
189#2453C2212yes—
190#2453C2212yes—
191#2453C2212yes—
192#2453C2212yes—
193#2453C2212yes—
194#2451C2212yes—
195#2447C2212yes—
196#2446C2212yes—
197#2446C2212yes—
198#2446C2212yes—
199#2442C2212yes—
200#2442C2212yes—
201#2439C2212yes—
202#2438C2214yes—
203#2429C2212yes—
204#2429C2211yescharacteristic
205#2429C2212yes—
206#2429C2212yes—
207#2429C2212yes—
208#2427C2212yes—
209#2426C2211yescharacteristic
210#2422C2212yes—
211#2421C2212yes—
212#2421C2214yes—
213#2421C2212yes—
214#2421C2212yes—
215#2421C2212yes—
216#2417C2212yes—
217#2417C2212yes—
218#2417C2212yes—
219#2415C2212yes—
220#2415C2212yes—
221#2415C2212yes—
222#2415C2212yes—
223#2402C2214yes—
224#2396C2212yes—
225#2392C2212yes—
226#2382C2214yes—
227#2376C2214yes—
228#2373C2214yes—
229#2370C2212yes—
230#2370C2212yes—
231#2369C2211yescharacteristic
232#2369C2211yescharacteristic
233#2368C2212yes—
234#2368C2212yes—
235#2367C2212yes—
236#2365C2212yes—
237#2365C2211yescharacteristic
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2360C2212yes—
242#2360C2211yescharacteristic
243#2360C2211yescharacteristic
244#2360C2212yes—
245#2356C2212yes—
246#2356C2212yes—
247#2355C2211yescharacteristic
248#2355C2212yes—
249#2355C2211yescharacteristic
250#2354C2211yescharacteristic
251#2352C2212yes—
252#2351C2212yes—
253#2351C2212yes—
254#2349C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256#2346C2212yes—
257#2346C2214yes—
258#2346C2214yes—
259#2345C2211yescharacteristic
260#2345C2211yescharacteristic
261#2344C2212yes—
262#2335C2214yes—
263#2335C2214yes—
264#2334C2214yes—
265#2330C2214yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2317C2212yes—
270#2316C2212yes—
271#2316C2212yes—
272#2314C2214yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×#125C2212yes—
277C4×#125C2212yes—
278C4×#124C2212yes—
279C4×#124C2211yescharacteristic
280C4×#124C2212yes—
281C4×C22⋊Q8C2211yescharacteristic
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2295C2212yes—
290#2293C2212yes—
291#2285C2212yes—
292#2285C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#557—44no—
300#554—28no—
301#554—44no—
302#552—216no—
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⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315#529—44no—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×#117C2314yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2314yes—
388C2×#117C2312yes—
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397C22×C42C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2312yes—
422#399C2314yes—
423#398C2312yes—
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#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2312yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2312yes—
475#396C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2312yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2312yes—
489#393C2312yes—
490#393C2314yes—
491#392C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2312yes—
510#391C2314yes—
511#391C2314yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2312yes—
526#390C2312yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2314yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2312yes—
557#389C2311yescharacteristic
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2314yes—
565#389C2314yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2314yes—
570#389C2314yes—
571#389C2314yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2312yes—
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2312yes—
590#389C2311yescharacteristic
591#389C2311yescharacteristic
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2312yes—
623#388C2314yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#386C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#384C2311yescharacteristic
696#384C2311yescharacteristic
697#384C2312yes—
698#384C2312yes—
699#384C2312yes—
700#384C2312yes—
701#384C2314yes—
702#383C2314yes—
703#383C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2314yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#382C2314yes—
714#382C2314yes—
715#382C2311yescharacteristic
716#382C2314yes—
717#382C2314yes—
718#382C2312yes—
719#382C2314yes—
720#381C2314yes—
721#381C2314yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2311yescharacteristic
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
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⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2314yes—
811#376C2314yes—
812#376C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2414yes—
841C23×C4C2412yes—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—42no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—42no—
850C4⋊Q8—44no—
851#126—216no—
852#126—44no—
853#125—216no—
854#125—28no—
855#125—28no—
856#125—42no—
857#125—44no—
858#125—44no—
859#125—44no—
860#125—44no—
861#125—44no—
862#125—48no—
863#124—24no—
864#124—44no—
865#124—42no—
866#124—44no—
867#123—216no—
868#123—48no—
869#123—44no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—24no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—24no—
876C22⋊Q8—28no—
877C22⋊Q8—44no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—42no—
881C22⋊Q8—42no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—42no—
886C22⋊Q8—42no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889#121—42no—
890#121—42no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—28no—
898C4×Q8—24no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—42no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—42no—
917#117—216no—
918#117—28no—
919#117—44no—
920#117—44no—
921#117—48no—
922#117—44no—
923#117—44no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—24no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4#4118yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—44no—
1053C2×C42—44no—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2414yes—
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2411yescharacteristic
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2411yescharacteristic
1117#95C2412yes—
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2412yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
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—
1173C24C2511yescharacteristic
1174C24C2511yescharacteristic
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—42no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—24no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—24no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—41no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—41no—
1240C22×C4—42no—
1241C22×C4—41no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4C2×#4114yes—
1246C22×C4C2×#4118yes—
1247C22×C4C2512yes—
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2514yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2511yescharacteristic
1258C22×C4C2512yes—
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2511yescharacteristic
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—28no—
1292C4⋊C4—28no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—24no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—41no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4C2×#4114yes—
1359C4⋊C4C2×#4114yes—
1360C4⋊C4C2×#4118yes—
1361C4⋊C42−1+414yes—
1362C22⋊C4—24no—
1363C22⋊C4—28no—
1364C22⋊C4—24no—
1365C22⋊C4—22no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—24no—
1369C22⋊C4—22no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—22no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—28no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—41no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C42—28no—
1401C42—28no—
1402C42—24no—
1403C42—24no—
1404C42—22no—
1405C42—22no—
1406C42—22no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—24no—
1412C42—24no—
1413C42—24no—
1414C42—22no—
1415C42—24no—
1416C42—24no—
1417C42—28no—
1418C42—24no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—42no—
1423C42—42no—
1424C42—42no—
1425C42—42no—
1426C42—42no—
1427C42—41no—
1428C42—42no—
1429C42—44no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—42no—
1434C42—41no—
1435C42—42no—
1436C42—44no—
1437C42—42no—
1438C42H(5,𝔽2)14yes—
1439C422−1+414yes—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23C22×#4112yes—
1460C23#58512yes—
1461C23C2611yescharacteristic
1462Q8—44no—
1463Q8—48no—
1464Q8—44no—
1465Q8—44no—
1466Q8—48no—
1467Q8—84no—
1468Q8—84no—
1469Q8—84no—
1470D4—28no—
1471D4—44no—
1472D4—84no—
1473D4—84no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—28no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—24no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—24no—
1511C2×C4—24no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—24no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—24no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—21no—
1558C2×C4—48no—
1559C2×C4—48no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—48no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—84no—
1566C2×C4—84no—
1567C2×C4—82no—
1568C2×C4—164no—
1569C2×C4C22×#4114yes—
1570C2×C4C22×#4114yes—
1571C2×C4C22×#4112yes—
1572C2×C4C22×#4112yes—
1573C2×C4C2×H(5,𝔽2)12yes—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×2−1+412yes—
1577C2×C4C2×2−1+414yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4C2×2−1+412yes—
1580C2×C4C2×2−1+412yes—
1581C2×C4#58512yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22C23×#4111yescharacteristic
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C22×2−1+411yescharacteristic
1606C22C22×2−1+411yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C222−1+611yescharacteristic
1610C4—24no—
1611C4—24no—
1612C4—24no—
1613C4—22no—
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—42no—
1618C4—42no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—42no—
1623C4—42no—
1624C4—44no—
1625C4—41no—
1626C4—42no—
1627C4—42no—
1628C4—42no—
1629C4—44no—
1630C4—42no—
1631C4—41no—
1632C4—42no—
1633C4—44no—
1634C4—41no—
1635C4—41no—
1636C4—42no—
1637C4—44no—
1638C4—42no—
1639C4—42no—
1640C4#351114yes—
1641C4#354714yes—
1642C2—42no—
1643C2—42no—
1644C2—82no—
1645C2C2×#354711yescharacteristic
1646C2#6278811yescharacteristic
1647C2C2×#351111yescharacteristic
1648C2#6294711yescharacteristic
1649C2#6295411yescharacteristic
1650C2#6299111yescharacteristic
1651C2#6302311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2540C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59682C2semidirect
2. #59564C2semidirect
3. #59427C2semidirect
4. #59079C2semidirect
5. #59071C2semidirect
6. #51572C2semidirect
7. #50983C2semidirect
8. #45634C2semidirect
9. #45512C2semidirect
10. #45415C2semidirect
11. #45371C2semidirect
12. #44723C2semidirect
13. #42713C2semidirect
14. #42675C2semidirect
15. #41697C2semidirect
16. #40106C2semidirect
17. #39979C2semidirect
18. #39925C2semidirect
19. #39724C2semidirect
20. #39478C2semidirect
21. #38921C2semidirect
22. #38215C2semidirect
23. #36562C2semidirect
24. #36286C2semidirect
25. #36209C2semidirect
26. #36193C2semidirect
27. #36186C2semidirect
28. #36151C2semidirect
29. #35241C2semidirect
30. #35173C2semidirect
32. #34951C2semidirect
34. #34482C2semidirect
35. C4×#554C2semidirect

Maximal subgroups

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

subgroupindex
#596822
#595642
#594272
#590792
#590712
#515722
#509832
#456342
#455122
#454152
#453712
#447232
#427132
#426752
#416972
#401062
#399792
#399252
#397242
#394782
#389212
#382152
#365622
#362862
#362092
#361932
#361862
#361512
#352412
#351732
#351082
#349512
#349192
#344822
C4×#5542