Finite Group Databasebeta

← #7987157

Subgroups — #7987157

Order 512.

4532 conjugacy classes of subgroups.

The subgroup lattice has 1617 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59695C212yesmaximal, complemented
2#59672C211yesmaximal, characteristic, complemented
3#59293C212yesmaximal, complemented
4#59052C211yesmaximal, characteristic, complemented
5#59052C211yesmaximal, characteristic, complemented
6#51719C214yesmaximal, complemented
7#51665C214yesmaximal, complemented
8#45948C214yesmaximal, complemented
9#45223C212yesmaximal, complemented
10#45217C212yesmaximal, complemented
11#45193C212yesmaximal, complemented
12#45185C212yesmaximal, complemented
13#42776C212yesmaximal, complemented
14#42773C212yesmaximal, complemented
15#42638C212yesmaximal, complemented
16#42633C212yesmaximal, complemented
17#39641C211yesmaximal, characteristic, complemented
18#39385C211yesmaximal, characteristic, complemented
19#39353C211yesmaximal, characteristic, complemented
20#39156C211yesmaximal, characteristic, complemented
21#38275C214yesmaximal, complemented
22#38215C212yesmaximal, complemented
23#38073C212yesmaximal, complemented
24#36481C211yesmaximal, characteristic, complemented
25#36414C212yesmaximal
26#36408C212yesmaximal, complemented
27#36186C211yesmaximal, characteristic, complemented
28#36134C211yesmaximal, characteristic, complemented
29#35209C212yesmaximal, complemented
30#35202C212yesmaximal, complemented
31#34797C211yesmaximal, characteristic
32#34780C211yesmaximal, characteristic, complemented
33#34484C211yesmaximal, characteristic, complemented
34#34394C211yesmaximal, characteristic, complemented
35#34145C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#552C2212yes—
38C2×#541C2212yes—
39C2×#541C2212yes—
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42#2868C2211yescharacteristic
43#2864C2214yes—
44#2863C2212yes—
45#2860C2214yes—
46#2859C2214yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2854C2212yes—
50#2836C2214yes—
51#2836C2214yes—
52#2809C2214yes—
53#2802C2214yes—
54#2791C2214yes—
55#2791C2214yes—
56#2791C2214yes—
57#2791C2214yes—
58#2786C2214yes—
59#2777C2214yes—
60#2777C2214yes—
61#2772C2214yes—
62#2766C2214yes—
63#2761C2214yes—
64#2747C2214yes—
65#2743C2214yes—
66#2740C2214yes—
67#2740C2214yes—
68#2738C2214yes—
69#2732C2214yes—
70#2732C2214yes—
71#2727C2214yes—
72#2726C2214yes—
73#2725C2214yes—
74#2722C2214yes—
75#2722C2214yes—
76#2721C2214yes—
77#2721C2214yes—
78#2721C2214yes—
79#2721C2214yes—
80#2719C2214yes—
81#2719C2214yes—
82#2707C2214yes—
83#2695C2214yes—
84#2694C2214yes—
85#2667C2214yes—
86#2667C2214yes—
87#2664C2214yes—
88#2664C2214yes—
89#2647C2214yes—
90#2647C2212yes—
91#2644C2212yes—
92#2629C2214yes—
93#2625C2212yes—
94#2621C2212yes—
95#2606C2214yes—
96#2606C2214yes—
97#2606C2214yes—
98#2594C2214yes—
99#2590C2214yes—
100#2585C2214yes—
101#2573C2214yes—
102#2565C2214yes—
103#2554C2214yes—
104#2553C2214yes—
105#2552C2212yes—
106#2552C2212yes—
107#2552C2211yescharacteristic
108#2552C2211yescharacteristic
109#2552C2212yes—
110#2552C2212yes—
111#2552C2212yes—
112#2552C2212yes—
113#2552C2212yes—
114#2552C2214yes—
115#2552C2212yes—
116#2546C2212yes—
117#2546C2212yes—
118#2546C2211yescharacteristic
119#2546C2211yescharacteristic
120#2542C2212yes—
121#2542C2212yes—
122#2542C2211yescharacteristic
123#2542C2212yes—
124#2542C2211yescharacteristic
125#2538C2212yes—
126#2538C2212yes—
127#2533C2214yes—
128#2531C2214yes—
129#2531C2212yes—
130#2529C2214yes—
131#2529C2212yes—
132#2526C2214yes—
133#2525C2214yes—
134#2525C2214yes—
135#2524C2214yes—
136#2524C2212yes—
137#2522C2214yes—
138#2519C2214yes—
139#2519C2214yes—
140#2519C2214yes—
141#2518C2212yes—
142#2515C2214yes—
143#2515C2212yes—
144#2514C2211yescharacteristic
145#2512C2214yes—
146#2512C2212yes—
147#2512C2212yes—
148#2512C2212yes—
149#2512C2211yescharacteristic
150#2508C2212yes—
151#2508C2212yes—
152#2508C2211yescharacteristic
153#2507C2212yes—
154#2507C2212yes—
155#2507C2212yes—
156#2507C2211yescharacteristic
157#2506C2212yes—
158#2506C2212yes—
159#2506C2212yes—
160#2506C2214yes—
161#2506C2212yes—
162#2503C2211yescharacteristic
163#2500C2211yescharacteristic
164#2499C2212yes—
165#2498C2214yes—
166#2497C2212yes—
167#2496C2212yes—
168#2496C2214yes—
169#2496C2212yes—
170#2495C2211yescharacteristic
171#2495C2211yescharacteristic
172#2495C2214yes—
173#2493C2212yes—
174#2490C2212yes—
175#2490C2211yescharacteristic
176#2489C2212yes—
177#2489C2211yescharacteristic
178#2486C2211yescharacteristic
179#2485C2211yescharacteristic
180#2479C2214yes—
181#2478C2214yes—
182#2475C2214yes—
183#2471C2214yes—
184#2467C2212yes—
185#2454C2212yes—
186#2454C2212yes—
187#2453C2212yes—
188#2446C2212yes—
189#2446C2212yes—
190#2446C2212yes—
191#2442C2211yescharacteristic
192#2441C2214yes—
193#2441C2212yes—
194#2441C2212yes—
195#2441C2212yes—
196#2441C2212yes—
197#2441C2211yescharacteristic
198#2441C2212yes—
199#2441C2214yes—
200#2429C2212yes—
201#2429C2212yes—
202#2429C2212yes—
203#2429C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2423C2212yes—
208#2423C2212yes—
209#2423C2214yes—
210#2423C2212yes—
211#2423C2214yes—
212#2421C2212yes—
213#2419C2212yes—
214#2417C2212yes—
215#2417C2212yes—
216#2417C2212yes—
217#2417C2211yescharacteristic
218#2415C2212yes—
219#2414C2211yescharacteristic
220#2402C2212yes—
221#2401C2212yes—
222#2395C2212yes—
223#2392C2212yes—
224#2378C2214yes—
225#2378C2214yes—
226#2370C2212yes—
227#2370C2212yes—
228#2370C2212yes—
229#2370C2214yes—
230#2370C2212yes—
231#2370C2212yes—
232#2370C2212yes—
233#2369C2211yescharacteristic
234#2369C2211yescharacteristic
235#2369C2211yescharacteristic
236#2368C2214yes—
237#2365C2212yes—
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2365C2211yescharacteristic
241#2365C2211yescharacteristic
242#2363C2212yes—
243#2363C2212yes—
244#2362C2212yes—
245#2362C2212yes—
246#2360C2212yes—
247#2360C2212yes—
248#2360C2212yes—
249#2360C2212yes—
250#2356C2212yes—
251#2354C2212yes—
252#2354C2212yes—
253#2354C2211yescharacteristic
254#2351C2212yes—
255Q8×C4⋊C4C2212yes—
256Q8×C4⋊C4C2211yescharacteristic
257#2347C2212yes—
258#2347C2212yes—
259#2346C2212yes—
260#2344C2212yes—
261#2330C2212yes—
262#2330C2212yes—
263#2330C2212yes—
264#2330C2212yes—
265#2330C2212yes—
266#2323C2214yes—
267#2323C2212yes—
268#2323C2212yes—
269#2323C2212yes—
270#2320C2214yes—
271#2319C2212yes—
272#2316C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2212yes—
275C4×#125C2211yescharacteristic
276C4×#125C2211yescharacteristic
277C4×#126C2212yes—
278C4×C22⋊Q8C2211yescharacteristic
279C4×C22⋊Q8C2211yescharacteristic
280C4×#123C2212yes—
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic
283#2298C2214yes—
284#2296C2212yes—
285#2295C2212yes—
286#2295C2214yes—
287#2295C2211yescharacteristic
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2285C2211yescharacteristic
291#2285C2212yes—
292#2283C2211yescharacteristic
293#2283C2212yes—
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299#554—28no—
300#552—48no—
301#541—48no—
302#541—48no—
303#533—28no—
304#533—28no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#123C2314yes—
332C2×#123C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×#121C2311yescharacteristic
348C2×#121C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2311yescharacteristic
369C2×#117C2312yes—
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2314yes—
375C2×#117C2314yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2311yescharacteristic
378C22×C4⋊C4C2311yescharacteristic
379C22×C42C2312yes—
380C22×C42C2311yescharacteristic
381C22×C42C2311yescharacteristic
382#401C2312yes—
383#400C2312yes—
384#400C2314yes—
385#400C2312yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2312yes—
391#400C2314yes—
392#400C2312yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2312yes—
399#400C2312yes—
400#399C2314yes—
401#399C2314yes—
402#399C2312yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2312yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2312yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2312yes—
480#394C2312yes—
481#394C2312yes—
482#394C2314yes—
483#392C2312yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2311yescharacteristic
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2314yes—
505#390C2314yes—
506#390C2311yescharacteristic
507#390C2314yes—
508#390C2312yes—
509#390C2314yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2312yes—
513#389C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2311yescharacteristic
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2312yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2314yes—
534#389C2314yes—
535#389C2314yes—
536#389C2314yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2314yes—
546#389C2314yes—
547#389C2314yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2314yes—
552#389C2312yes—
553#389C2311yescharacteristic
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2314yes—
561#389C2314yes—
562#389C2314yes—
563#389C2314yes—
564#389C2314yes—
565#389C2314yes—
566#389C2311yescharacteristic
567#389C2312yes—
568#389C2314yes—
569#389C2314yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2314yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2314yes—
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#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2314yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#384C2314yes—
692#384C2312yes—
693#384C2314yes—
694#384C2312yes—
695#384C2312yes—
696#384C2314yes—
697#384C2312yes—
698#384C2312yes—
699#383C2312yes—
700#383C2314yes—
701#383C2312yes—
702#383C2314yes—
703#383C2312yes—
704#383C2312yes—
705#382C2311yescharacteristic
706#382C2311yescharacteristic
707#382C2314yes—
708#382C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2314yes—
712#382C2311yescharacteristic
713#382C2312yes—
714#382C2311yescharacteristic
715#381C2314yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#380C2314yes—
721#380C2314yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2314yes—
733#380C2314yes—
734#380C2312yes—
735#380C2314yes—
736#380C2311yescharacteristic
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807#376C2312yes—
808#376C2314yes—
809#376C2312yes—
810#376C2314yes—
811#376C2312yes—
812C2×#95C2312yes—
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2314yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×D4C2411yescharacteristic
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2414yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—44no—
837C4⋊Q8—44no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8#4118yes—
841#126—48no—
842#126—48no—
843#126—44no—
844#126—48no—
845#126—48no—
846#126—48no—
847#125—28no—
848#125—28no—
849#125—28no—
850#125—24no—
851#125—28no—
852#125—24no—
853#125—28no—
854#125—48no—
855#125—48no—
856#125—48no—
857#125—48no—
858#125—48no—
859#125—48no—
860#123—48no—
861#123—44no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—216no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—24no—
869C22⋊Q8—28no—
870C22⋊Q8—44no—
871C22⋊Q8—42no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876#121—24no—
877#121—24no—
878C4×Q8—28no—
879C4×Q8—28no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—24no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—44no—
888C4×Q8—44no—
889C4×D4—24no—
890C4×D4—28no—
891C4×D4—24no—
892C4×D4—42no—
893C4×D4—44no—
894C4×D4—42no—
895C4×D4—44no—
896#117—24no—
897#117—28no—
898#117—28no—
899#117—24no—
900#117—44no—
901#117—44no—
902#117—48no—
903#117—44no—
904#117—48no—
905C2×C4⋊C4—28no—
906C2×C4⋊C4—24no—
907C2×C4⋊C4—42no—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2411yescharacteristic
910C2×C4⋊C4C2411yescharacteristic
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C42—28no—
1036C2×C42—24no—
1037C2×C42—24no—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2414yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2412yes—
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2411yescharacteristic
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2414yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156C24C2511yescharacteristic
1157C24C2512yes—
1158C24C2511yescharacteristic
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—22no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8C2×#4118yes—
1171C2×D4—22no—
1172C2×D4—24no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—24no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—42no—
1180C2×D4—42no—
1181C2×D4—42no—
1182C2×D4—42no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—24no—
1186C22×C4—24no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—22no—
1193C22×C4—24no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—22no—
1199C22×C4—24no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—28no—
1203C22×C4—42no—
1204C22×C4—42no—
1205C22×C4—44no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—42no—
1209C22×C4—44no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C42−1+414yes—
1213C22×C4C2511yescharacteristic
1214C22×C4C2512yes—
1215C22×C4C2511yescharacteristic
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2512yes—
1228C22×C4C2511yescharacteristic
1229C22×C4C2514yes—
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2514yes—
1233C22×C4C2514yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2514yes—
1239C22×C4C2512yes—
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2511yescharacteristic
1243C22×C4C2511yescharacteristic
1244C22×C4C2511yescharacteristic
1245C4⋊C4—22no—
1246C4⋊C4—28no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—28no—
1252C4⋊C4—28no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—28no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—24no—
1261C4⋊C4—28no—
1262C4⋊C4—28no—
1263C4⋊C4—28no—
1264C4⋊C4—22no—
1265C4⋊C4—24no—
1266C4⋊C4—28no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—24no—
1277C4⋊C4—28no—
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—41no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—42no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4C2×#4118yes—
1329C4⋊C4C2×#4118yes—
1330C4⋊C4H(5,𝔽2)14yes—
1331C4⋊C42−1+414yes—
1332C22⋊C4—24no—
1333C22⋊C4—22no—
1334C22⋊C4—28no—
1335C22⋊C4—28no—
1336C22⋊C4—28no—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—22no—
1342C22⋊C4—24no—
1343C22⋊C4—24no—
1344C22⋊C4—24no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—42no—
1359C22⋊C4—41no—
1360C22⋊C4—42no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—42no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C42—22no—
1373C42—22no—
1374C42—22no—
1375C42—22no—
1376C42—22no—
1377C42—22no—
1378C42—28no—
1379C42—28no—
1380C42—24no—
1381C42—24no—
1382C42—22no—
1383C42—24no—
1384C42—28no—
1385C42—24no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—24no—
1391C42—22no—
1392C42—22no—
1393C42—24no—
1394C42—28no—
1395C42—22no—
1396C42—24no—
1397C42—22no—
1398C42—44no—
1399C42—42no—
1400C42—44no—
1401C42—41no—
1402C42—44no—
1403C42—44no—
1404C42—44no—
1405C42—44no—
1406C42—44no—
1407C42—44no—
1408C42—42no—
1409C42C2×#4114yes—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—22no—
1418C23—21no—
1419C23—22no—
1420C23—21no—
1421C23—22no—
1422C23—22no—
1423C23—21no—
1424C23—22no—
1425C23—22no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—22no—
1430C23C2×2−1+412yes—
1431C23C2611yescharacteristic
1432Q8—48no—
1433Q8—44no—
1434Q8—48no—
1435Q8—48no—
1436D4—44no—
1437D4—44no—
1438D4—84no—
1439D4—84no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—24no—
1451C2×C4—21no—
1452C2×C4—28no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—24no—
1460C2×C4—24no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—24no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—24no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—24no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—24no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—48no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—48no—
1529C2×C4—44no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4—88no—
1533C2×C4—84no—
1534C2×C4C22×#4112yes—
1535C2×C4C22×#4118yes—
1536C2×C4C22×#4112yes—
1537C2×C4C22×#4112yes—
1538C2×C4C2×H(5,𝔽2)14yes—
1539C2×C4C2×H(5,𝔽2)12yes—
1540C2×C4C2×2−1+412yes—
1541C2×C4C2×2−1+414yes—
1542C2×C4C2×2−1+412yes—
1543C2×C4C2×2−1+412yes—
1544C2×C4#58512yes—
1545C2×C4#58512yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—42no—
1554C22—41no—
1555C22—41no—
1556C22—42no—
1557C22—41no—
1558C22—42no—
1559C22—41no—
1560C22—42no—
1561C22—41no—
1562C22—42no—
1563C22—42no—
1564C22—41no—
1565C22—41no—
1566C22—42no—
1567C22C23×#4111yescharacteristic
1568C22C22×H(5,𝔽2)11yescharacteristic
1569C22C22×2−1+411yescharacteristic
1570C22C22×2−1+411yescharacteristic
1571C22C2×#58511yescharacteristic
1572C22C2×#58511yescharacteristic
1573C222−1+611yescharacteristic
1574C4—22no—
1575C4—28no—
1576C4—22no—
1577C4—22no—
1578C4—24no—
1579C4—24no—
1580C4—41no—
1581C4—41no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—42no—
1586C4—42no—
1587C4—42no—
1588C4—41no—
1589C4—44no—
1590C4—42no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—42no—
1595C4—42no—
1596C4—44no—
1597C4—44no—
1598C4—42no—
1599C4—41no—
1600C4—42no—
1601C4—42no—
1602C4—41no—
1603C4—42no—
1604C4#351714yes—
1605C4#352314yes—
1606C2—42no—
1607C2—82no—
1608C2—81no—
1609C2#6275211yescharacteristic
1610C2C2×#352311yescharacteristic
1611C2C2×#351711yescharacteristic
1612C2#6291511yescharacteristic
1613C2#6295011yescharacteristic
1614C2#6299111yescharacteristic
1615C2#6303911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59695C2semidirect
2. #59672C2semidirect
3. #59293C2semidirect
4. #59052C2semidirect
5. #59052C2semidirect
6. #51719C2semidirect
7. #51665C2semidirect
8. #45948C2semidirect
9. #45223C2semidirect
10. #45217C2semidirect
11. #45193C2semidirect
12. #45185C2semidirect
13. #42776C2semidirect
14. #42773C2semidirect
15. #42638C2semidirect
16. #42633C2semidirect
17. #39641C2semidirect
18. #39385C2semidirect
19. #39353C2semidirect
20. #39156C2semidirect
21. #38275C2semidirect
22. #38215C2semidirect
23. #38073C2semidirect
24. #36481C2semidirect
26. #36408C2semidirect
27. #36186C2semidirect
28. #36134C2semidirect
29. #35209C2semidirect
30. #35202C2semidirect
32. #34780C2semidirect
33. #34484C2semidirect
34. #34394C2semidirect
35. #34145C2semidirect

Maximal subgroups

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

subgroupindex
#596952
#596722
#592932
#590522
#517192
#516652
#459482
#452232
#452172
#451932
#451852
#427762
#427732
#426382
#426332
#396412
#393852
#393532
#391562
#382752
#382152
#380732
#364812
#364142
#364082
#361862
#361342
#352092
#352022
#347972
#347802
#344842
#343942
#341452