Finite Group Databasebeta

← #8463284

Subgroups — #8463284

Order 512.

4832 conjugacy classes of subgroups.

The subgroup lattice has 1750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59827C211yesmaximal, characteristic, complemented
2#59134C211yesmaximal, characteristic, complemented
3#59033C211yesmaximal, characteristic, complemented
4#57254C214yesmaximal, complemented
5#55584C214yesmaximal, complemented
6#54763C214yesmaximal, complemented
7#53087C212yesmaximal, complemented
8#53061C212yesmaximal, complemented
9#48601C214yesmaximal, complemented
10#46339C212yesmaximal, complemented
11#46048C212yesmaximal, complemented
12#45373C212yesmaximal, complemented
13#45307C212yesmaximal, complemented
14#42890C212yesmaximal, complemented
15#42749C212yesmaximal, complemented
16#42555C212yesmaximal, complemented
17#42505C212yesmaximal, complemented
18#39996C212yesmaximal, complemented
19#39747C211yesmaximal, characteristic, complemented
20#39741C212yesmaximal, complemented
21#39248C212yesmaximal, complemented
22#39148C211yesmaximal, characteristic, complemented
23#38923C211yesmaximal, characteristic, complemented
24#38909C211yesmaximal, characteristic, complemented
25#38200C212yesmaximal, complemented
26#37617C211yesmaximal, characteristic, complemented
27#37412C212yesmaximal, complemented
28#37366C212yesmaximal, complemented
29#36449C211yesmaximal, characteristic, complemented
30#36271C211yesmaximal, characteristic, complemented
31#36122C211yesmaximal, characteristic, complemented
32#35191C211yesmaximal, characteristic, complemented
33#35187C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic, complemented
35#34803C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#556C2211yescharacteristic
38C2×#556C2212yes—
39C2×#550C2211yescharacteristic
40C2×#548C2212yes—
41C2×#532C2211yescharacteristic
42C22×C4⋊Q8C2211yescharacteristic
43C2×#529C2211yescharacteristic
44C2×#529C2211yescharacteristic
45#2864C2212yes—
46#2863C2212yes—
47#2863C2212yes—
48#2861C2212yes—
49#2860C2212yes—
50#2858C2211yescharacteristic
51#2858C2212yes—
52#2857C2211yescharacteristic
53#2856C2211yescharacteristic
54#2830C2214yes—
55#2829C2214yes—
56#2829C2214yes—
57#2827C2214yes—
58#2826C2214yes—
59#2826C2214yes—
60#2821C2214yes—
61#2819C2214yes—
62#2808C2214yes—
63#2797C2214yes—
64#2796C2214yes—
65#2793C2214yes—
66#2790C2214yes—
67#2784C2214yes—
68#2780C2214yes—
69#2778C2214yes—
70#2778C2214yes—
71#2777C2214yes—
72#2772C2214yes—
73#2770C2214yes—
74#2764C2214yes—
75#2756C2214yes—
76#2754C2214yes—
77#2752C2214yes—
78#2751C2214yes—
79#2750C2214yes—
80#2749C2214yes—
81#2749C2214yes—
82#2749C2214yes—
83#2746C2214yes—
84#2743C2214yes—
85#2739C2214yes—
86#2737C2214yes—
87#2737C2214yes—
88#2730C2214yes—
89#2730C2214yes—
90#2724C2214yes—
91#2722C2214yes—
92#2716C2214yes—
93#2715C2214yes—
94#2714C2214yes—
95#2714C2214yes—
96#2705C2214yes—
97#2705C2214yes—
98#2700C2214yes—
99#2696C2214yes—
100#2696C2214yes—
101#2695C2214yes—
102#2691C2214yes—
103#2691C2214yes—
104#2691C2214yes—
105#2689C2214yes—
106#2688C2214yes—
107#2688C2214yes—
108#2673C2214yes—
109#2673C2214yes—
110#2671C2214yes—
111#2661C2214yes—
112#2658C2212yes—
113#2657C2212yes—
114#2655C2214yes—
115#2653C2214yes—
116#2648C2214yes—
117#2644C2212yes—
118#2643C2214yes—
119#2642C2212yes—
120#2631C2214yes—
121#2631C2214yes—
122#2628C2212yes—
123#2628C2212yes—
124#2625C2212yes—
125#2624C2212yes—
126#2623C2214yes—
127#2603C2214yes—
128#2601C2214yes—
129#2592C2212yes—
130#2582C2211yescharacteristic
131#2582C2212yes—
132#2578C2214yes—
133#2572C2214yes—
134#2571C2211yescharacteristic
135#2568C2211yescharacteristic
136#2560C2214yes—
137#2559C2214yes—
138#2554C2212yes—
139#2554C2212yes—
140#2552C2211yescharacteristic
141#2548C2211yescharacteristic
142#2548C2212yes—
143#2548C2211yescharacteristic
144#2547C2212yes—
145#2547C2212yes—
146#2547C2211yescharacteristic
147#2547C2211yescharacteristic
148#2547C2211yescharacteristic
149#2546C2211yescharacteristic
150#2546C2211yescharacteristic
151#2545C2212yes—
152#2545C2212yes—
153#2545C2212yes—
154#2544C2212yes—
155#2544C2212yes—
156#2544C2212yes—
157#2541C2211yescharacteristic
158#2541C2211yescharacteristic
159#2538C2211yescharacteristic
160#2535C2212yes—
161#2535C2212yes—
162#2535C2214yes—
163#2533C2212yes—
164#2530C2214yes—
165#2527C2212yes—
166#2524C2214yes—
167#2523C2212yes—
168#2514C2212yes—
169#2514C2211yescharacteristic
170#2514C2212yes—
171#2512C2212yes—
172#2512C2212yes—
173#2510C2214yes—
174#2509C2211yescharacteristic
175#2508C2212yes—
176#2504C2212yes—
177#2499C2211yescharacteristic
178#2496C2211yescharacteristic
179#2495C2212yes—
180#2492C2212yes—
181#2492C2211yescharacteristic
182#2491C2212yes—
183#2491C2212yes—
184#2490C2211yescharacteristic
185#2490C2211yescharacteristic
186#2487C2212yes—
187#2487C2212yes—
188#2486C2212yes—
189#2486C2212yes—
190#2485C2212yes—
191#2485C2212yes—
192#2485C2211yescharacteristic
193#2481C2214yes—
194#2476C2214yes—
195#2471C2214yes—
196#2471C2214yes—
197#2467C2214yes—
198#2467C2214yes—
199#2466C2214yes—
200#2466C2212yes—
201#2454C2212yes—
202#2453C2212yes—
203#2452C2212yes—
204#2452C2212yes—
205#2452C2212yes—
206#2450C2214yes—
207#2447C2214yes—
208#2447C2212yes—
209#2447C2212yes—
210#2447C2212yes—
211#2446C2212yes—
212#2446C2212yes—
213#2445C2212yes—
214#2444C2214yes—
215#2439C2211yescharacteristic
216#2439C2212yes—
217#2438C2214yes—
218#2436C2212yes—
219#2436C2212yes—
220#2436C2212yes—
221#2434C2212yes—
222#2432C2212yes—
223#2432C2212yes—
224#2431C2212yes—
225#2431C2212yes—
226#2429C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2427C2212yes—
230#2427C2212yes—
231#2427C2212yes—
232#2426C2211yescharacteristic
233#2426C2211yescharacteristic
234#2421C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2417C2212yes—
239#2417C2212yes—
240#2416C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2212yes—
244#2415C2211yescharacteristic
245#2414C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2407C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2401C2212yes—
254#2398C2212yes—
255#2392C2212yes—
256#2392C2212yes—
257#2377C2214yes—
258#2367C2212yes—
259#2366C2211yescharacteristic
260#2365C2211yescharacteristic
261#2361C2212yes—
262#2361C2212yes—
263#2352C2212yes—
264#2352C2212yes—
265D4×C4⋊C4C2212yes—
266D4×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2211yescharacteristic
268#2345C2212yes—
269Q8×C22⋊C4C2212yes—
270#2339C2212yes—
271#2339C2212yes—
272#2333C2214yes—
273#2328C2212yes—
274#2327C2212yes—
275#2326C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278#2320C2212yes—
279#2316C2212yes—
280#2311C2212yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×#127C2212yes—
284C4×#127C2211yescharacteristic
285C4×#126C2212yes—
286C4×#124C2212yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2295C2212yes—
292#2295C2211yescharacteristic
293#2293C2212yes—
294#2293C2212yes—
295#2283C2211yescharacteristic
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#559—48no—
303#556—44no—
304#556—48no—
305#550—44no—
306#548—48no—
307#532—44no—
308C2×C4⋊Q8—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322#529—44no—
323#529—44no—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#126C2312yes—
329C2×#126C2314yes—
330C2×#125C2311yescharacteristic
331C2×#125C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2311yescharacteristic
368C2×#121C2311yescharacteristic
369C2×#121C2314yes—
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2311yescharacteristic
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2314yes—
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412#401C2314yes—
413#401C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2314yes—
473#396C2312yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2312yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#395C2314yes—
488#395C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2312yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#393C2314yes—
517#393C2312yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2312yes—
524#393C2314yes—
525#392C2312yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#391C2312yes—
539#391C2312yes—
540#391C2311yescharacteristic
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2314yes—
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2314yes—
556#391C2312yes—
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#391C2312yes—
560#391C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2314yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2311yescharacteristic
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2311yescharacteristic
733#384C2311yescharacteristic
734#383C2312yes—
735#383C2312yes—
736#383C2314yes—
737#383C2314yes—
738#383C2314yes—
739#382C2314yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2311yescharacteristic
744#382C2311yescharacteristic
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2312yes—
750#381C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2314yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2312yes—
814#376C2312yes—
815C2×#95C2314yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—44no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C4⋊Q8—24no—
867C4⋊Q8—24no—
868C4⋊Q8—44no—
869C4⋊Q8—44no—
870C4⋊Q8—42no—
871C4⋊Q8—44no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874#127—24no—
875#127—24no—
876#127—44no—
877#127—44no—
878#127—44no—
879#126—44no—
880#126—44no—
881#126—48no—
882#126—44no—
883#126—48no—
884#126—48no—
885#125—42no—
886#125—42no—
887#124—28no—
888#124—48no—
889#124—44no—
890#124—44no—
891#124—42no—
892#124—42no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—48no—
897#124—44no—
898#124—44no—
899#123—44no—
900#123—44no—
901#123—48no—
902#123—48no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911#121—48no—
912#121—48no—
913#121—48no—
914#121—48no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—42no—
919#121—42no—
920#121—42no—
921#121—42no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927C4×Q8—24no—
928C4×Q8—28no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—28no—
932C4×Q8—42no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—24no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—48no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—42no—
955#117—44no—
956#117—44no—
957#117—48no—
958#117—42no—
959#117—42no—
960#117—44no—
961C2×C4⋊C4—44no—
962C2×C4⋊C4—44no—
963C2×C4⋊C4—44no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2411yescharacteristic
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C42—24no—
1093C2×C42—24no—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192C24C2514yes—
1193C24C2512yes—
1194C24C2511yescharacteristic
1195C24C2512yes—
1196C24C2511yescharacteristic
1197#41—816no—
1198#41—816no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—42no—
1217C2×Q8—816no—
1218C2×D4—22no—
1219C2×D4—28no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—24no—
1238C2×D4—41no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—24no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—41no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—41no—
1301C22×C4—44no—
1302C22×C4—41no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2514yes—
1326C22×C4C2514yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—28no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—22no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—41no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—41no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C22⋊C4—22no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—22no—
1413C22⋊C4—28no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—41no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—24no—
1478C42—24no—
1479C42—28no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—22no—
1484C42—24no—
1485C42—22no—
1486C42—22no—
1487C42—24no—
1488C42—41no—
1489C42—42no—
1490C42—42no—
1491C42—42no—
1492C42—42no—
1493C42—44no—
1494C42—44no—
1495C42—41no—
1496C42—42no—
1497C42—42no—
1498C42—42no—
1499C42H(5,𝔽2)14yes—
1500C42H(5,𝔽2)14yes—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—24no—
1508C23—22no—
1509C23—21no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—21no—
1515C23—21no—
1516C23—22no—
1517C23—21no—
1518C23—24no—
1519C23—22no—
1520C23—22no—
1521C23—24no—
1522C23—24no—
1523C23—24no—
1524C23—22no—
1525C23—22no—
1526C23—21no—
1527C23—22no—
1528C23—21no—
1529C23—22no—
1530C23—22no—
1531C23—21no—
1532C23—24no—
1533C23—22no—
1534C23—22no—
1535C23#58512yes—
1536C23C2611yescharacteristic
1537Q8—44no—
1538Q8—48no—
1539Q8—48no—
1540Q8—44no—
1541Q8—84no—
1542Q8—88no—
1543D4—44no—
1544D4—48no—
1545D4—44no—
1546D4—44no—
1547D4—48no—
1548D4—48no—
1549D4—84no—
1550D4—84no—
1551D4—84no—
1552D4—88no—
1553D4—84no—
1554D4—84no—
1555D4—84no—
1556D4—88no—
1557D4—88no—
1558D4—164no—
1559D4—164no—
1560D4—164no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—24no—
1587C2×C4—24no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—24no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—44no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—82no—
1650C2×C4—88no—
1651C2×C4—88no—
1652C2×C4—88no—
1653C2×C4—88no—
1654C2×C4—164no—
1655C2×C4—164no—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4C2×H(5,𝔽2)12yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4#58512yes—
1663C2×C4#58512yes—
1664C2×C4#58512yes—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—42no—
1673C22—42no—
1674C22—41no—
1675C22—44no—
1676C22—41no—
1677C22—44no—
1678C22—42no—
1679C22—42no—
1680C22—41no—
1681C22—42no—
1682C22—42no—
1683C22—44no—
1684C22—42no—
1685C22—42no—
1686C22—41no—
1687C22—44no—
1688C22—44no—
1689C22—42no—
1690C22—42no—
1691C22—41no—
1692C22—41no—
1693C22—42no—
1694C22—44no—
1695C22—42no—
1696C22—42no—
1697C22—44no—
1698C22—41no—
1699C22—42no—
1700C22C22×H(5,𝔽2)11yescharacteristic
1701C22C22×H(5,𝔽2)11yescharacteristic
1702C22C2×#58511yescharacteristic
1703C22C2×#58511yescharacteristic
1704C22C2×#58511yescharacteristic
1705C22C2×#58511yescharacteristic
1706C222−1+611yescharacteristic
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—41no—
1711C4—41no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—41no—
1716C4—41no—
1717C4—44no—
1718C4—44no—
1719C4—42no—
1720C4—41no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—44no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—41no—
1730C4—41no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—42no—
1735C4#354614yes—
1736C4#356214yes—
1737C2—42no—
1738C2—82no—
1739C2—81no—
1740C2—82no—
1741C2—84no—
1742C2C2×#356211yescharacteristic
1743C2C2×#354611yescharacteristic
1744C2#6283011yescharacteristic
1745C2#6292511yescharacteristic
1746C2#6295411yescharacteristic
1747C2#6296811yescharacteristic
1748C2#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. #59827C2semidirect
2. #59134C2semidirect
3. #59033C2semidirect
4. #57254C2semidirect
5. #55584C2semidirect
6. #54763C2semidirect
7. #53087C2semidirect
8. #53061C2semidirect
9. #48601C2semidirect
10. #46339C2semidirect
11. #46048C2semidirect
12. #45373C2semidirect
13. #45307C2semidirect
14. #42890C2semidirect
15. #42749C2semidirect
16. #42555C2semidirect
17. #42505C2semidirect
18. #39996C2semidirect
19. #39747C2semidirect
20. #39741C2semidirect
21. #39248C2semidirect
22. #39148C2semidirect
23. #38923C2semidirect
24. #38909C2semidirect
25. #38200C2semidirect
26. #37617C2semidirect
27. #37412C2semidirect
28. #37366C2semidirect
29. #36449C2semidirect
30. #36271C2semidirect
31. #36122C2semidirect
32. #35191C2semidirect
33. #35187C2semidirect
34. #34934C2semidirect
35. #34803C2semidirect

Maximal subgroups

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

subgroupindex
#598272
#591342
#590332
#572542
#555842
#547632
#530872
#530612
#486012
#463392
#460482
#453732
#453072
#428902
#427492
#425552
#425052
#399962
#397472
#397412
#392482
#391482
#389232
#389092
#382002
#376172
#374122
#373662
#364492
#362712
#361222
#351912
#351872
#349342
#348032