Finite Group Databasebeta

← #7688623

Subgroups — #7688623

Order 512.

4963 conjugacy classes of subgroups.

The subgroup lattice has 1683 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59574C212yesmaximal, complemented
2#59497C212yesmaximal, complemented
3#59464C211yesmaximal, characteristic, complemented
4#59315C212yesmaximal, complemented
5#59295C212yesmaximal, complemented
6#59229C211yesmaximal, characteristic, complemented
7#59212C211yesmaximal, characteristic, complemented
8#59079C212yesmaximal, complemented
9#59076C212yesmaximal, complemented
10#44164C214yesmaximal, complemented
11#43860C214yesmaximal, complemented
12#43736C214yesmaximal, complemented
13#40192C212yesmaximal, complemented
14#40052C212yesmaximal, complemented
15#40004C212yesmaximal, complemented
16#39962C212yesmaximal, complemented
17#39788C212yesmaximal, complemented
18#39224C212yesmaximal, complemented
19#36586C211yesmaximal, characteristic, complemented
20#36561C211yesmaximal, characteristic, complemented
21#36407C211yesmaximal, characteristic, complemented
22#36315C211yesmaximal, characteristic, complemented
23#36290C211yesmaximal, characteristic, complemented
24#36272C211yesmaximal, characteristic, complemented
25#36210C212yesmaximal, complemented
26#36210C211yesmaximal, characteristic, complemented
27#36142C212yesmaximal, complemented
28#35864C214yesmaximal, complemented
29#34948C211yesmaximal, characteristic, complemented
30#34938C211yesmaximal, characteristic, complemented
31#34932C211yesmaximal, characteristic, complemented
32#34321C212yesmaximal, complemented
33#34314C212yesmaximal, complemented
34C4×#553C211yesmaximal, characteristic, complemented
35C4×#553C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2212yes—
38C2×#553C2211yescharacteristic
39C2×#553C2211yescharacteristic
40C2×#552C2212yes—
41C2×#533C2212yes—
42C2×#529C2212yes—
43#2861C2212yes—
44#2859C2211yescharacteristic
45#2859C2212yes—
46#2857C2212yes—
47#2857C2212yes—
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2851C2212yes—
51#2850C2212yes—
52#2779C2214yes—
53#2778C2214yes—
54#2776C2214yes—
55#2774C2214yes—
56#2765C2214yes—
57#2762C2214yes—
58#2754C2214yes—
59#2747C2214yes—
60#2746C2214yes—
61#2745C2214yes—
62#2745C2214yes—
63#2728C2214yes—
64#2728C2214yes—
65#2725C2214yes—
66#2723C2214yes—
67#2717C2214yes—
68#2695C2214yes—
69#2693C2214yes—
70#2691C2214yes—
71#2686C2214yes—
72#2671C2214yes—
73#2664C2214yes—
74#2654C2214yes—
75#2652C2214yes—
76#2611C2214yes—
77#2601C2214yes—
78#2596C2214yes—
79#2595C2214yes—
80#2588C2214yes—
81#2588C2214yes—
82#2574C2214yes—
83#2571C2211yescharacteristic
84#2571C2211yescharacteristic
85#2570C2212yes—
86#2570C2212yes—
87#2569C2214yes—
88#2568C2212yes—
89#2564C2214yes—
90#2562C2214yes—
91#2562C2212yes—
92#2560C2214yes—
93#2556C2214yes—
94#2556C2214yes—
95#2553C2214yes—
96#2553C2214yes—
97#2552C2211yescharacteristic
98#2552C2211yescharacteristic
99#2552C2211yescharacteristic
100#2551C2211yescharacteristic
101#2551C2211yescharacteristic
102#2550C2212yes—
103#2550C2212yes—
104#2550C2212yes—
105#2549C2214yes—
106#2547C2212yes—
107#2547C2211yescharacteristic
108#2542C2211yescharacteristic
109#2537C2211yescharacteristic
110#2535C2212yes—
111#2531C2214yes—
112#2529C2214yes—
113#2528C2214yes—
114#2527C2214yes—
115#2521C2214yes—
116#2520C2214yes—
117#2514C2212yes—
118#2514C2212yes—
119#2514C2214yes—
120#2510C2214yes—
121#2509C2212yes—
122#2509C2212yes—
123#2509C2212yes—
124#2508C2212yes—
125#2507C2212yes—
126#2506C2212yes—
127#2505C2214yes—
128#2504C2212yes—
129#2497C2212yes—
130#2496C2212yes—
131#2496C2212yes—
132#2495C2214yes—
133#2495C2212yes—
134#2494C2212yes—
135#2494C2214yes—
136#2494C2212yes—
137#2494C2212yes—
138#2494C2212yes—
139#2494C2212yes—
140#2492C2212yes—
141#2491C2212yes—
142#2489C2212yes—
143#2489C2212yes—
144#2489C2212yes—
145#2489C2214yes—
146#2488C2214yes—
147#2487C2212yes—
148#2485C2212yes—
149#2485C2212yes—
150#2485C2212yes—
151#2485C2212yes—
152#2478C2214yes—
153#2477C2214yes—
154#2475C2214yes—
155#2474C2214yes—
156#2473C2214yes—
157#2469C2214yes—
158#2463C2214yes—
159#2461C2214yes—
160#2458C2214yes—
161#2454C2212yes—
162#2453C2214yes—
163#2453C2212yes—
164#2452C2212yes—
165#2452C2212yes—
166#2451C2212yes—
167#2449C2214yes—
168#2448C2212yes—
169#2442C2212yes—
170#2442C2212yes—
171#2442C2212yes—
172#2442C2212yes—
173#2441C2212yes—
174#2440C2212yes—
175#2440C2212yes—
176#2439C2212yes—
177#2439C2212yes—
178#2427C2212yes—
179#2427C2214yes—
180#2426C2212yes—
181#2425C2214yes—
182#2422C2212yes—
183#2422C2212yes—
184#2421C2212yes—
185#2421C2214yes—
186#2421C2214yes—
187#2420C2212yes—
188#2417C2212yes—
189#2416C2212yes—
190#2415C2212yes—
191#2415C2212yes—
192#2415C2214yes—
193#2414C2212yes—
194#2402C2214yes—
195#2399C2214yes—
196#2395C2214yes—
197#2374C2212yes—
198#2374C2212yes—
199#2373C2214yes—
200#2373C2212yes—
201#2373C2212yes—
202#2370C2212yes—
203#2370C2214yes—
204#2370C2212yes—
205#2370C2211yescharacteristic
206#2370C2211yescharacteristic
207#2369C2212yes—
208#2369C2212yes—
209#2367C2214yes—
210#2367C2214yes—
211#2365C2211yescharacteristic
212#2365C2211yescharacteristic
213#2364C2212yes—
214#2364C2212yes—
215#2363C2211yescharacteristic
216#2363C2212yes—
217#2363C2211yescharacteristic
218#2362C2212yes—
219#2362C2214yes—
220#2361C2214yes—
221#2361C2211yescharacteristic
222#2361C2211yescharacteristic
223#2360C2212yes—
224#2360C2212yes—
225#2359C2214yes—
226#2357C2211yescharacteristic
227#2357C2211yescharacteristic
228#2354C2212yes—
229#2354C2211yescharacteristic
230#2354C2211yescharacteristic
231#2353C2212yes—
232#2353C2212yes—
233#2352C2212yes—
234#2352C2211yescharacteristic
235#2352C2211yescharacteristic
236#2352C2212yes—
237#2351C2212yes—
238#2349C2212yes—
239D4×C4⋊C4C2212yes—
240D4×C4⋊C4C2211yescharacteristic
241D4×C4⋊C4C2211yescharacteristic
242#2347C2211yescharacteristic
243#2347C2212yes—
244#2347C2212yes—
245#2347C2214yes—
246#2347C2211yescharacteristic
247#2346C2212yes—
248#2345C2211yescharacteristic
249#2345C2211yescharacteristic
250#2344C2212yes—
251#2343C2214yes—
252#2337C2214yes—
253#2337C2214yes—
254#2336C2214yes—
255#2334C2214yes—
256#2324C2214yes—
257#2322C2214yes—
258C4×C4⋊Q8C2212yes—
259C4×C4⋊Q8C2211yescharacteristic
260C4×C4⋊Q8C2212yes—
261C4×#125C2212yes—
262C4×#125C2212yes—
263C4×#125C2211yescharacteristic
264C4×#125C2211yescharacteristic
265C4×#126C2212yes—
266C4×#126C2212yes—
267C4×C22⋊Q8C2212yes—
268C4×C22⋊Q8C2212yes—
269C4×#123C2212yes—
270C4×#123C2212yes—
271C4×#121C2212yes—
272C4×#121C2212yes—
273C4×#121C2212yes—
274C4×#121C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279#2296C2212yes—
280#2296C2212yes—
281#2296C2212yes—
282#2295C2212yes—
283#2293C2212yes—
284C2×#389C2212yes—
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic
287#2285C2212yes—
288#2285C2212yes—
289#2274C2214yes—
290C42×D4C2212yes—
291C42×D4C2212yes—
292C42×D4C2211yescharacteristic
293C42×D4C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#555—216no—
300#554—48no—
301#553—28no—
302#553—28no—
303#552—216no—
304#533—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—48no—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2311yescharacteristic
316C2×#125C2311yescharacteristic
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#123C2314yes—
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×#123C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×#121C2314yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2314yes—
352C2×C4×Q8C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2312yes—
374C2×#117C2314yes—
375C2×#117C2314yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2312yes—
383C2×#117C2314yes—
384C2×#117C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2314yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2312yes—
395C22×C42C2312yes—
396C22×C42C2312yes—
397C22×C42C2312yes—
398#401C2314yes—
399#401C2314yes—
400#401C2314yes—
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#400C2314yes—
416#400C2314yes—
417#399C2314yes—
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#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#397C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#395C2314yes—
452#395C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#392C2314yes—
468#391C2314yes—
469#391C2312yes—
470#391C2314yes—
471#391C2314yes—
472#391C2314yes—
473#391C2314yes—
474#391C2312yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2314yes—
486#390C2314yes—
487#390C2312yes—
488#390C2311yescharacteristic
489#390C2312yes—
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#390C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2311yescharacteristic
497#389C2311yescharacteristic
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2314yes—
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2314yes—
515#389C2314yes—
516#389C2312yes—
517#389C2314yes—
518#389C2314yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2311yescharacteristic
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2314yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#388C2312yes—
546#388C2312yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2312yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2314yes—
585#388C2312yes—
586#388C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2312yes—
662#385C2312yes—
663#384C2312yes—
664#384C2311yescharacteristic
665#384C2312yes—
666#384C2312yes—
667#384C2311yescharacteristic
668#384C2311yescharacteristic
669#384C2312yes—
670#383C2312yes—
671#383C2312yes—
672#383C2314yes—
673#383C2314yes—
674#382C2311yescharacteristic
675#382C2312yes—
676#382C2312yes—
677#382C2311yescharacteristic
678#382C2312yes—
679#382C2312yes—
680#382C2312yes—
681#382C2312yes—
682#382C2314yes—
683#382C2314yes—
684#382C2314yes—
685#382C2314yes—
686#382C2312yes—
687#381C2314yes—
688#381C2312yes—
689#381C2312yes—
690#380C2312yes—
691#380C2314yes—
692#380C2312yes—
693#380C2314yes—
694#380C2314yes—
695#380C2312yes—
696#380C2314yes—
697#380C2312yes—
698#380C2314yes—
699#380C2314yes—
700#380C2312yes—
701#380C2312yes—
702#380C2312yes—
703#380C2311yescharacteristic
704#380C2311yescharacteristic
705#380C2312yes—
706#380C2312yes—
707#380C2311yescharacteristic
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2314yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2311yescharacteristic
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2311yescharacteristic
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2314yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C43C2312yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2414yes—
819C22×Q8C2414yes—
820C22×D4C2411yescharacteristic
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C22×D4C2411yescharacteristic
825C22×D4C2414yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2412yes—
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2412yes—
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—24no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851#126—216no—
852#126—28no—
853#126—28no—
854#126—48no—
855#125—28no—
856#125—24no—
857#125—24no—
858#125—28no—
859#125—216no—
860#125—44no—
861#125—44no—
862#125—48no—
863#124—216no—
864#124—216no—
865#124—44no—
866#123—28no—
867#123—216no—
868#123—28no—
869#123—48no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—48no—
874C22⋊Q8—48no—
875C22⋊Q8—48no—
876C22⋊Q8—48no—
877C22⋊Q8—44no—
878C22⋊Q8—48no—
879#121—28no—
880#121—24no—
881#121—28no—
882#121—216no—
883#121—24no—
884#121—24no—
885#121—28no—
886#121—44no—
887#121#4118yes—
888C4×Q8—28no—
889C4×Q8—48no—
890C4×Q8—44no—
891C4×Q8—48no—
892C4×Q8—44no—
893C4×D4—24no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—24no—
897C4×D4—24no—
898C4×D4—28no—
899C4×D4—24no—
900C4×D4—24no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—42no—
906C4×D4—42no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—44no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—48no—
913C4×D4—48no—
914#117—24no—
915#117—28no—
916#117—28no—
917#117—24no—
918#117—216no—
919#117—216no—
920#117—42no—
921#117—44no—
922#117—48no—
923#117—44no—
924#117#4118yes—
925C2×C4⋊C4—28no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—24no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—48no—
930C2×C4⋊C4—42no—
931C2×C4⋊C4—44no—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2411yescharacteristic
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—44no—
1053C2×C42—44no—
1054C2×C42—44no—
1055C2×C42—44no—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2411yescharacteristic
1120#95C2412yes—
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2512yes—
1173C24C2512yes—
1174C24C2511yescharacteristic
1175C24C2511yescharacteristic
1176C2×Q8—24no—
1177C2×Q8—28no—
1178C2×Q8—24no—
1179C2×Q8—28no—
1180C2×Q8—24no—
1181C2×Q8—44no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×D4—24no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—24no—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—28no—
1192C2×D4—24no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—42no—
1199C2×D4—42no—
1200C2×D4—41no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—44no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—44no—
1207C2×D4C2×#4114yes—
1208C2×D4C2×#4118yes—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—28no—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—42no—
1238C22×C4—44no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4C2×#4114yes—
1262C22×C4C2×#4114yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2512yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2514yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2512yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—28no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—28no—
1325C4⋊C4—28no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—28no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—41no—
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—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4C2×#4114yes—
1361C4⋊C4C2×#4114yes—
1362C4⋊C4C2×#4114yes—
1363C4⋊C4H(5,𝔽2)14yes—
1364C22⋊C4—24no—
1365C22⋊C4—28no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4C2×#4118yes—
1411C22⋊C4C2×#4118yes—
1412C42—28no—
1413C42—28no—
1414C42—24no—
1415C42—28no—
1416C42—22no—
1417C42—22no—
1418C42—24no—
1419C42—24no—
1420C42—22no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—22no—
1434C42—42no—
1435C42—42no—
1436C42—42no—
1437C42—42no—
1438C42—42no—
1439C42—42no—
1440C42—42no—
1441C42—42no—
1442C42—42no—
1443C42—41no—
1444C42—42no—
1445C42—42no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—42no—
1450C42—42no—
1451C42—44no—
1452C42C2×#4118yes—
1453C422−1+414yes—
1454C23—22no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—22no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23C22×#4112yes—
1480C23C22×#4112yes—
1481C23C22×#4114yes—
1482C23C2611yescharacteristic
1483Q8—48no—
1484Q8—88no—
1485Q8—88no—
1486D4—28no—
1487D4—48no—
1488D4—48no—
1489D4—48no—
1490D4—44no—
1491D4—44no—
1492D4—88no—
1493D4—84no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—28no—
1511C2×C4—28no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
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—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—48no—
1576C2×C4—416no—
1577C2×C4—44no—
1578C2×C4—48no—
1579C2×C4—44no—
1580C2×C4—48no—
1581C2×C4—84no—
1582C2×C4—84no—
1583C2×C4—84no—
1584C2×C4—84no—
1585C2×C4—84no—
1586C2×C4—82no—
1587C2×C4—82no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—164no—
1591C2×C4C22×#4112yes—
1592C2×C4C22×#4114yes—
1593C2×C4C22×#4114yes—
1594C2×C4C22×#4112yes—
1595C2×C4C22×#4114yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C2×H(5,𝔽2)14yes—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×2−1+412yes—
1601C2×C4C2×2−1+412yes—
1602C2×C4C2×2−1+412yes—
1603C2×C4#58512yes—
1604C2×C4#58512yes—
1605C22—24no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—24no—
1610C22—22no—
1611C22—24no—
1612C22—22no—
1613C22—22no—
1614C22—41no—
1615C22—41no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22C23×#4111yescharacteristic
1634C22C23×#4111yescharacteristic
1635C22C22×H(5,𝔽2)11yescharacteristic
1636C22C22×2−1+411yescharacteristic
1637C22C2×#58511yescharacteristic
1638C22C2×#58511yescharacteristic
1639C222−1+611yescharacteristic
1640C4—24no—
1641C4—24no—
1642C4—22no—
1643C4—24no—
1644C4—22no—
1645C4—22no—
1646C4—22no—
1647C4—24no—
1648C4—41no—
1649C4—42no—
1650C4—44no—
1651C4—42no—
1652C4—42no—
1653C4—41no—
1654C4—42no—
1655C4—42no—
1656C4—42no—
1657C4—42no—
1658C4—44no—
1659C4—42no—
1660C4—41no—
1661C4—41no—
1662C4—42no—
1663C4—44no—
1664C4—41no—
1665C4—41no—
1666C4—44no—
1667C4—41no—
1668C4—42no—
1669C4#351114yes—
1670C4#351514yes—
1671C2—44no—
1672C2—42no—
1673C2—42no—
1674C2—82no—
1675C2#41211yescharacteristic
1676C2C2×#351511yescharacteristic
1677C2C2×#351111yescharacteristic
1678C2#6295911yescharacteristic
1679C2#6298411yescharacteristic
1680C2#6299511yescharacteristic
1681C2#6301811yescharacteristic
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. #59574C2semidirect
2. #59497C2semidirect
3. #59464C2semidirect
4. #59315C2semidirect
5. #59295C2semidirect
6. #59229C2semidirect
7. #59212C2semidirect
8. #59079C2semidirect
9. #59076C2semidirect
10. #44164C2semidirect
11. #43860C2semidirect
12. #43736C2semidirect
13. #40192C2semidirect
14. #40052C2semidirect
15. #40004C2semidirect
16. #39962C2semidirect
17. #39788C2semidirect
18. #39224C2semidirect
19. #36586C2semidirect
20. #36561C2semidirect
21. #36407C2semidirect
22. #36315C2semidirect
23. #36290C2semidirect
24. #36272C2semidirect
25. #36210C2semidirect
26. #36210C2semidirect
27. #36142C2semidirect
28. #35864C2semidirect
29. #34948C2semidirect
30. #34938C2semidirect
31. #34932C2semidirect
32. #34321C2semidirect
33. #34314C2semidirect
34. C4×#553C2semidirect
35. C4×#553C2semidirect

Maximal subgroups

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

subgroupindex
#595742
#594972
#594642
#593152
#592952
#592292
#592122
#590792
#590762
#441642
#438602
#437362
#401922
#400522
#400042
#399622
#397882
#392242
#365862
#365612
#364072
#363152
#362902
#362722
#362102
#361422
#358642
#349482
#349382
#349322
#343212
#343142
C4×#5532