Finite Group Databasebeta

← #8464315

Subgroups — #8464315

Order 512.

4601 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59079C211yesmaximal, characteristic, complemented
3#59033C211yesmaximal, characteristic, complemented
4#57767C214yesmaximal, complemented
5#55703C214yesmaximal, complemented
6#53862C214yesmaximal, complemented
7#53078C212yesmaximal, complemented
8#53074C212yesmaximal, complemented
9#51315C214yesmaximal, complemented
10#46050C212yesmaximal, complemented
11#45641C212yesmaximal, complemented
12#45399C212yesmaximal, complemented
13#45182C212yesmaximal, complemented
14#42895C212yesmaximal, complemented
15#42732C212yesmaximal, complemented
16#42712C212yesmaximal, complemented
17#42688C212yesmaximal, complemented
18#40009C212yesmaximal, complemented
19#39766C212yesmaximal, complemented
20#39251C212yesmaximal, complemented
21#39169C211yesmaximal, characteristic, complemented
22#38985C211yesmaximal, characteristic, complemented
23#38942C211yesmaximal, characteristic, complemented
24#38921C211yesmaximal, characteristic, complemented
25#38118C212yesmaximal, complemented
26#37630C211yesmaximal, characteristic, complemented
27#37368C212yesmaximal, complemented
28#37360C212yesmaximal, complemented
29#36459C211yesmaximal, characteristic, complemented
30#36410C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#35200C211yesmaximal, characteristic, complemented
33#35191C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2861C2212yes—
43#2860C2212yes—
44#2858C2211yescharacteristic
45#2858C2212yes—
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2854C2212yes—
49#2851C2212yes—
50#2851C2212yes—
51#2839C2214yes—
52#2828C2214yes—
53#2828C2214yes—
54#2828C2214yes—
55#2828C2214yes—
56#2825C2214yes—
57#2824C2214yes—
58#2824C2214yes—
59#2808C2214yes—
60#2801C2214yes—
61#2797C2214yes—
62#2796C2214yes—
63#2796C2214yes—
64#2796C2214yes—
65#2796C2214yes—
66#2795C2214yes—
67#2793C2214yes—
68#2782C2214yes—
69#2782C2214yes—
70#2779C2214yes—
71#2778C2214yes—
72#2772C2214yes—
73#2761C2214yes—
74#2761C2214yes—
75#2756C2214yes—
76#2753C2214yes—
77#2753C2214yes—
78#2751C2214yes—
79#2751C2214yes—
80#2750C2214yes—
81#2749C2214yes—
82#2749C2214yes—
83#2746C2214yes—
84#2744C2214yes—
85#2741C2214yes—
86#2740C2214yes—
87#2728C2214yes—
88#2718C2214yes—
89#2715C2214yes—
90#2714C2214yes—
91#2714C2214yes—
92#2714C2214yes—
93#2708C2214yes—
94#2703C2214yes—
95#2702C2214yes—
96#2700C2214yes—
97#2699C2214yes—
98#2699C2214yes—
99#2698C2214yes—
100#2696C2214yes—
101#2691C2214yes—
102#2688C2214yes—
103#2687C2214yes—
104#2682C2214yes—
105#2680C2214yes—
106#2676C2214yes—
107#2676C2214yes—
108#2661C2214yes—
109#2661C2214yes—
110#2655C2214yes—
111#2651C2214yes—
112#2648C2214yes—
113#2648C2214yes—
114#2647C2212yes—
115#2645C2212yes—
116#2645C2212yes—
117#2644C2212yes—
118#2642C2212yes—
119#2641C2212yes—
120#2641C2212yes—
121#2639C2214yes—
122#2638C2214yes—
123#2625C2212yes—
124#2603C2214yes—
125#2599C2214yes—
126#2597C2214yes—
127#2595C2214yes—
128#2595C2214yes—
129#2592C2212yes—
130#2592C2212yes—
131#2592C2212yes—
132#2582C2211yescharacteristic
133#2568C2211yescharacteristic
134#2567C2211yescharacteristic
135#2566C2212yes—
136#2563C2211yescharacteristic
137#2563C2212yes—
138#2560C2214yes—
139#2559C2214yes—
140#2552C2212yes—
141#2552C2211yescharacteristic
142#2548C2211yescharacteristic
143#2548C2212yes—
144#2547C2211yescharacteristic
145#2547C2211yescharacteristic
146#2546C2211yescharacteristic
147#2544C2212yes—
148#2541C2211yescharacteristic
149#2541C2212yes—
150#2540C2212yes—
151#2538C2212yes—
152#2537C2212yes—
153#2535C2212yes—
154#2533C2212yes—
155#2532C2214yes—
156#2527C2212yes—
157#2523C2212yes—
158#2516C2214yes—
159#2516C2214yes—
160#2515C2214yes—
161#2515C2214yes—
162#2514C2211yescharacteristic
163#2513C2214yes—
164#2512C2212yes—
165#2512C2212yes—
166#2512C2214yes—
167#2511C2212yes—
168#2510C2214yes—
169#2509C2212yes—
170#2509C2211yescharacteristic
171#2505C2214yes—
172#2500C2212yes—
173#2499C2211yescharacteristic
174#2499C2212yes—
175#2496C2211yescharacteristic
176#2496C2212yes—
177#2495C2212yes—
178#2493C2214yes—
179#2492C2211yescharacteristic
180#2490C2212yes—
181#2490C2212yes—
182#2490C2212yes—
183#2489C2212yes—
184#2489C2212yes—
185#2489C2212yes—
186#2486C2212yes—
187#2485C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2485C2212yes—
191#2485C2211yescharacteristic
192#2485C2212yes—
193#2479C2212yes—
194#2476C2214yes—
195#2471C2212yes—
196#2467C2212yes—
197#2466C2212yes—
198#2464C2214yes—
199#2456C2212yes—
200#2454C2212yes—
201#2454C2211yescharacteristic
202#2453C2212yes—
203#2453C2212yes—
204#2452C2212yes—
205#2448C2212yes—
206#2448C2211yescharacteristic
207#2447C2212yes—
208#2447C2212yes—
209#2447C2212yes—
210#2446C2212yes—
211#2445C2212yes—
212#2444C2214yes—
213#2442C2212yes—
214#2441C2211yescharacteristic
215#2439C2211yescharacteristic
216#2432C2212yes—
217#2432C2212yes—
218#2431C2212yes—
219#2431C2212yes—
220#2431C2212yes—
221#2431C2211yescharacteristic
222#2428C2212yes—
223#2428C2211yescharacteristic
224#2427C2212yes—
225#2427C2212yes—
226#2426C2212yes—
227#2426C2212yes—
228#2423C2211yescharacteristic
229#2422C2212yes—
230#2421C2214yes—
231#2420C2212yes—
232#2420C2212yes—
233#2416C2212yes—
234#2416C2212yes—
235#2415C2212yes—
236#2415C2211yescharacteristic
237#2415C2212yes—
238#2414C2212yes—
239#2414C2212yes—
240#2414C2212yes—
241#2414C2212yes—
242#2414C2212yes—
243#2414C2211yescharacteristic
244#2407C2212yes—
245#2407C2212yes—
246#2407C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2211yescharacteristic
250#2401C2212yes—
251#2398C2212yes—
252#2397C2212yes—
253#2392C2212yes—
254#2377C2214yes—
255#2369C2211yescharacteristic
256#2367C2212yes—
257#2367C2212yes—
258#2367C2212yes—
259#2366C2211yescharacteristic
260#2363C2212yes—
261#2363C2212yes—
262#2355C2212yes—
263#2354C2211yescharacteristic
264#2354C2211yescharacteristic
265#2354C2212yes—
266#2354C2212yes—
267#2352C2212yes—
268#2347C2212yes—
269#2341C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2334C2214yes—
273#2328C2212yes—
274#2327C2212yes—
275#2326C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278#2319C2212yes—
279#2319C2212yes—
280#2317C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#125C2212yes—
285C4×#126C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291#2297C2212yes—
292#2295C2211yescharacteristic
293#2295C2211yescharacteristic
294#2295C2212yes—
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302#554—44no—
303#550—44no—
304#533—44no—
305#532—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314#529—44no—
315C2×#126C2312yes—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#123C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C4×#41—44no—
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396C22×C42C2312yes—
397#401C2314yes—
398#401C2312yes—
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#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#399C2312yes—
419#399C2312yes—
420#399C2312yes—
421#399C2312yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2314yes—
431#398C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2312yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2312yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#395C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2312yes—
506#393C2312yes—
507#392C2314yes—
508#392C2314yes—
509#392C2312yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2312yes—
514#392C2312yes—
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2312yes—
521#392C2314yes—
522#392C2314yes—
523#391C2314yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2312yes—
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#390C2314yes—
545#390C2311yescharacteristic
546#390C2311yescharacteristic
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2312yes—
561#390C2314yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2312yes—
577#390C2311yescharacteristic
578#390C2312yes—
579#389C2311yescharacteristic
580#389C2312yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2314yes—
605#389C2314yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2312yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2314yes—
731#384C2312yes—
732#383C2312yes—
733#383C2312yes—
734#383C2314yes—
735#382C2312yes—
736#382C2314yes—
737#382C2312yes—
738#382C2314yes—
739#382C2314yes—
740#382C2311yescharacteristic
741#382C2311yescharacteristic
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#381C2314yes—
746#381C2314yes—
747#381C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—42no—
817C2×#41—42no—
818C2×#41—42no—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C4⋊Q8—24no—
863C4⋊Q8—24no—
864C4⋊Q8—42no—
865C4⋊Q8—44no—
866#127—24no—
867#127—42no—
868#127—44no—
869#127—44no—
870#126—44no—
871#126—44no—
872#126—48no—
873#126—84no—
874#125—44no—
875#125—42no—
876#125—44no—
877#125—44no—
878#124—44no—
879#124—44no—
880#124—44no—
881#124—44no—
882#124—42no—
883#124—44no—
884#124—82no—
885#123—44no—
886#123—84no—
887#123—84no—
888C22⋊Q8—48no—
889C22⋊Q8—42no—
890C22⋊Q8—42no—
891C22⋊Q8—42no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895C22⋊Q8—82no—
896C22⋊Q8—84no—
897#121—44no—
898#121—48no—
899#121—48no—
900#121—44no—
901#121—44no—
902#121—44no—
903#121—42no—
904#121—44no—
905#121—42no—
906#121—42no—
907#121—44no—
908#121—44no—
909#121—44no—
910#121—84no—
911#121—82no—
912#121—84no—
913C4×Q8—24no—
914C4×Q8—24no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—42no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×D4—24no—
921C4×D4—24no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—42no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—42no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939#117—44no—
940#117—44no—
941#117—44no—
942#117—42no—
943#117—44no—
944#117—42no—
945#117—42no—
946#117—44no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C42—24no—
1075C2×C42—24no—
1076C2×C42—44no—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2414yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2411yescharacteristic
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2411yescharacteristic
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2412yes—
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2511yescharacteristic
1180C24C2514yes—
1181C24C2511yescharacteristic
1182#41—416no—
1183#41—816no—
1184#41—816no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—22no—
1193C2×Q8—24no—
1194C2×Q8—22no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—42no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—42no—
1283C22×C4—41no—
1284C22×C4—41no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2512yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—41no—
1355C4⋊C4—42no—
1356C4⋊C4—41no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—41no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—28no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—44no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—24no—
1460C42—22no—
1461C42—24no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—42no—
1470C42—42no—
1471C42—44no—
1472C42—42no—
1473C42—44no—
1474C42—42no—
1475C42—44no—
1476C42—44no—
1477C42—41no—
1478C42—42no—
1479C42—44no—
1480C42—42no—
1481C42H(5,𝔽2)14yes—
1482C23—22no—
1483C23—22no—
1484C23—21no—
1485C23—24no—
1486C23—21no—
1487C23—21no—
1488C23—24no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—24no—
1498C23—22no—
1499C23—22no—
1500C23—24no—
1501C23—24no—
1502C23—22no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—21no—
1510C23—21no—
1511C23—22no—
1512C23—21no—
1513C23—22no—
1514C23—24no—
1515C23—22no—
1516C23—21no—
1517C23C2611yescharacteristic
1518Q8—44no—
1519Q8—48no—
1520Q8—44no—
1521Q8—84no—
1522Q8—84no—
1523D4—44no—
1524D4—48no—
1525D4—44no—
1526D4—44no—
1527D4—48no—
1528D4—48no—
1529D4—84no—
1530D4—84no—
1531D4—84no—
1532D4—84no—
1533D4—84no—
1534D4—84no—
1535D4—88no—
1536D4—88no—
1537D4—164no—
1538D4—164no—
1539D4—164no—
1540D4—164no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—21no—
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—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—48no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—82no—
1631C2×C4—82no—
1632C2×C4—84no—
1633C2×C4—88no—
1634C2×C4—88no—
1635C2×C4—164no—
1636C2×C4—164no—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4#58512yes—
1641C2×C4#58512yes—
1642C2×C4#58512yes—
1643C2×C4#58512yes—
1644C2×C4#58512yes—
1645C22—42no—
1646C22—41no—
1647C22—41no—
1648C22—44no—
1649C22—42no—
1650C22—42no—
1651C22—42no—
1652C22—41no—
1653C22—41no—
1654C22—44no—
1655C22—42no—
1656C22—41no—
1657C22—42no—
1658C22—44no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—44no—
1663C22—42no—
1664C22—42no—
1665C22—44no—
1666C22—41no—
1667C22—42no—
1668C22—41no—
1669C22—42no—
1670C22—41no—
1671C22—42no—
1672C22—41no—
1673C22—42no—
1674C22—44no—
1675C22—42no—
1676C22—42no—
1677C22—41no—
1678C22—44no—
1679C22—41no—
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22H(7,𝔽2)11yescharacteristic
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—42no—
1692C4—44no—
1693C4—41no—
1694C4—41no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—41no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—42no—
1710C4—42no—
1711C4—44no—
1712C4—41no—
1713C4—44no—
1714C4—42no—
1715C4#354014yes—
1716C4#356214yes—
1717C2—82no—
1718C2—81no—
1719C2—81no—
1720C2—84no—
1721C2—82no—
1722C2C2×#354011yescharacteristic
1723C2C2×#356211yescharacteristic
1724C2#6284011yescharacteristic
1725C2#6293711yescharacteristic
1726C2#6295511yescharacteristic
1727C2#6296611yescharacteristic
1728C2#6302911yescharacteristic
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. #59863C2semidirect
2. #59079C2semidirect
3. #59033C2semidirect
4. #57767C2semidirect
5. #55703C2semidirect
6. #53862C2semidirect
7. #53078C2semidirect
8. #53074C2semidirect
9. #51315C2semidirect
10. #46050C2semidirect
11. #45641C2semidirect
12. #45399C2semidirect
13. #45182C2semidirect
14. #42895C2semidirect
15. #42732C2semidirect
16. #42712C2semidirect
17. #42688C2semidirect
18. #40009C2semidirect
19. #39766C2semidirect
20. #39251C2semidirect
21. #39169C2semidirect
22. #38985C2semidirect
23. #38942C2semidirect
24. #38921C2semidirect
25. #38118C2semidirect
26. #37630C2semidirect
27. #37368C2semidirect
28. #37360C2semidirect
29. #36459C2semidirect
30. #36410C2semidirect
31. #36150C2semidirect
32. #35200C2semidirect
33. #35191C2semidirect
34. #34803C2semidirect
35. #34727C2semidirect

Maximal subgroups

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

subgroupindex
#598632
#590792
#590332
#577672
#557032
#538622
#530782
#530742
#513152
#460502
#456412
#453992
#451822
#428952
#427322
#427122
#426882
#400092
#397662
#392512
#391692
#389852
#389422
#389212
#381182
#376302
#373682
#373602
#364592
#364102
#361502
#352002
#351912
#348032
#347272