Finite Group Databasebeta

← #8467096

Subgroups — #8467096

Order 512.

4887 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59435C211yesmaximal, characteristic, complemented
2#59070C211yesmaximal, characteristic, complemented
3#59036C211yesmaximal, characteristic, complemented
4#58559C214yesmaximal, complemented
5#57366C214yesmaximal, complemented
6#55367C214yesmaximal, complemented
7#53071C212yesmaximal, complemented
8#53044C212yesmaximal, complemented
9#49592C214yesmaximal, complemented
10#46044C212yesmaximal, complemented
11#45663C212yesmaximal, complemented
12#45090C212yesmaximal, complemented
13#45033C212yesmaximal, complemented
14#42995C212yesmaximal, complemented
15#42874C212yesmaximal, complemented
16#42737C212yesmaximal, complemented
17#42629C212yesmaximal, complemented
18#39609C211yesmaximal, characteristic, complemented
19#39343C211yesmaximal, characteristic, complemented
20#39171C211yesmaximal, characteristic, complemented
21#39137C211yesmaximal, characteristic, complemented
22#38967C212yesmaximal, complemented
23#38922C212yesmaximal, complemented
24#38290C212yesmaximal, complemented
25#37787C212yesmaximal, complemented
26#37639C211yesmaximal, characteristic, complemented
27#37325C212yesmaximal, complemented
28#37321C212yesmaximal, complemented
29#36273C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#36115C211yesmaximal, characteristic, complemented
32#35201C211yesmaximal, characteristic, complemented
33#35177C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34793C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#555C2212yes—
38C2×D4×Q8C2211yescharacteristic
39C2×#536C2212yes—
40C2×#533C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2212yes—
44C2×#529C2211yescharacteristic
45#2861C2212yes—
46#2859C2212yes—
47#2858C2211yescharacteristic
48#2858C2212yes—
49#2857C2212yes—
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2855C2212yes—
53#2850C2212yes—
54#2832C2214yes—
55#2830C2214yes—
56#2829C2214yes—
57#2828C2214yes—
58#2824C2214yes—
59#2819C2214yes—
60#2819C2214yes—
61#2813C2214yes—
62#2808C2214yes—
63#2803C2214yes—
64#2803C2214yes—
65#2797C2214yes—
66#2796C2214yes—
67#2796C2214yes—
68#2788C2214yes—
69#2788C2214yes—
70#2781C2214yes—
71#2778C2214yes—
72#2775C2214yes—
73#2774C2214yes—
74#2759C2214yes—
75#2756C2214yes—
76#2742C2214yes—
77#2742C2214yes—
78#2742C2214yes—
79#2741C2214yes—
80#2737C2214yes—
81#2737C2214yes—
82#2730C2214yes—
83#2717C2214yes—
84#2716C2214yes—
85#2715C2214yes—
86#2715C2214yes—
87#2715C2214yes—
88#2714C2214yes—
89#2711C2214yes—
90#2710C2214yes—
91#2710C2214yes—
92#2710C2214yes—
93#2710C2214yes—
94#2706C2214yes—
95#2705C2214yes—
96#2705C2214yes—
97#2705C2214yes—
98#2703C2214yes—
99#2703C2214yes—
100#2696C2214yes—
101#2696C2214yes—
102#2696C2214yes—
103#2692C2214yes—
104#2688C2214yes—
105#2686C2214yes—
106#2682C2214yes—
107#2674C2214yes—
108#2672C2214yes—
109#2672C2214yes—
110#2672C2214yes—
111#2665C2214yes—
112#2665C2214yes—
113#2663C2214yes—
114#2649C2214yes—
115#2640C2212yes—
116#2640C2214yes—
117#2628C2214yes—
118#2628C2212yes—
119#2624C2214yes—
120#2620C2212yes—
121#2619C2212yes—
122#2619C2212yes—
123#2616C2212yes—
124#2615C2212yes—
125#2615C2214yes—
126#2615C2212yes—
127#2610C2214yes—
128#2610C2214yes—
129#2604C2214yes—
130#2604C2214yes—
131#2591C2214yes—
132#2571C2212yes—
133#2568C2211yescharacteristic
134#2567C2212yes—
135#2567C2211yescharacteristic
136#2567C2211yescharacteristic
137#2563C2212yes—
138#2563C2211yescharacteristic
139#2563C2212yes—
140#2563C2211yescharacteristic
141#2559C2212yes—
142#2559C2214yes—
143#2557C2212yes—
144#2555C2214yes—
145#2551C2212yes—
146#2551C2211yescharacteristic
147#2550C2211yescharacteristic
148#2550C2212yes—
149#2548C2212yes—
150#2544C2212yes—
151#2544C2211yescharacteristic
152#2542C2211yescharacteristic
153#2541C2211yescharacteristic
154#2541C2211yescharacteristic
155#2541C2212yes—
156#2540C2212yes—
157#2540C2211yescharacteristic
158#2540C2212yes—
159#2538C2212yes—
160#2538C2211yescharacteristic
161#2537C2212yes—
162#2537C2212yes—
163#2537C2212yes—
164#2535C2211yescharacteristic
165#2531C2214yes—
166#2530C2214yes—
167#2530C2212yes—
168#2528C2212yes—
169#2521C2212yes—
170#2517C2212yes—
171#2512C2212yes—
172#2512C2212yes—
173#2511C2212yes—
174#2511C2211yescharacteristic
175#2509C2212yes—
176#2509C2212yes—
177#2506C2211yescharacteristic
178#2500C2212yes—
179#2499C2211yescharacteristic
180#2499C2212yes—
181#2497C2212yes—
182#2496C2212yes—
183#2495C2212yes—
184#2494C2211yescharacteristic
185#2492C2211yescharacteristic
186#2492C2212yes—
187#2492C2212yes—
188#2491C2212yes—
189#2491C2212yes—
190#2491C2212yes—
191#2490C2212yes—
192#2490C2211yescharacteristic
193#2489C2211yescharacteristic
194#2485C2214yes—
195#2485C2211yescharacteristic
196#2471C2214yes—
197#2471C2214yes—
198#2467C2214yes—
199#2465C2214yes—
200#2465C2214yes—
201#2464C2212yes—
202#2460C2212yes—
203#2459C2214yes—
204#2457C2214yes—
205#2454C2212yes—
206#2454C2212yes—
207#2454C2212yes—
208#2452C2212yes—
209#2451C2212yes—
210#2448C2212yes—
211#2448C2212yes—
212#2447C2212yes—
213#2447C2212yes—
214#2445C2212yes—
215#2445C2212yes—
216#2442C2214yes—
217#2441C2211yescharacteristic
218#2441C2212yes—
219#2439C2214yes—
220#2439C2212yes—
221#2436C2212yes—
222#2436C2212yes—
223#2428C2211yescharacteristic
224#2428C2212yes—
225#2428C2212yes—
226#2427C2212yes—
227#2427C2212yes—
228#2427C2212yes—
229#2427C2212yes—
230#2427C2211yescharacteristic
231#2427C2212yes—
232#2427C2212yes—
233#2426C2212yes—
234#2426C2212yes—
235#2426C2212yes—
236#2426C2212yes—
237#2423C2212yes—
238#2423C2212yes—
239#2422C2212yes—
240#2422C2212yes—
241#2422C2212yes—
242#2416C2214yes—
243#2415C2212yes—
244#2415C2212yes—
245#2415C2212yes—
246#2415C2211yescharacteristic
247#2414C2212yes—
248#2414C2212yes—
249#2409C2212yes—
250#2409C2212yes—
251#2407C2212yes—
252#2406C2214yes—
253#2401C2212yes—
254#2395C2212yes—
255#2395C2212yes—
256#2388C2212yes—
257#2377C2214yes—
258#2367C2212yes—
259#2366C2212yes—
260#2366C2211yescharacteristic
261#2365C2211yescharacteristic
262#2363C2212yes—
263#2363C2212yes—
264#2363C2212yes—
265#2356C2212yes—
266#2354C2212yes—
267#2354C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2212yes—
271#2346C2212yes—
272#2341C2212yes—
273Q8×C22⋊C4C2212yes—
274#2331C2212yes—
275#2328C2212yes—
276#2324C2212yes—
277#2323C2212yes—
278#2323C2212yes—
279#2323C2212yes—
280#2319C2212yes—
281#2316C2214yes—
282C4×C4⋊Q8C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#125C2212yes—
285C4×#124C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291#2298C2212yes—
292#2297C2212yes—
293#2295C2211yescharacteristic
294#2293C2212yes—
295#2285C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302#559—44no—
303#555—48no—
304D4×Q8—44no—
305#536—48no—
306#533—44no—
307#532—44no—
308#532—44no—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320#529—44no—
321#529—48no—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2314yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2314yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
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×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2311yescharacteristic
406C2×#117C2314yes—
407C2×#117C2314yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2311yescharacteristic
412C22×C4⋊C4C2314yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416#401C2312yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2312yes—
423#400C2312yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2312yes—
441#398C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#395C2314yes—
475#395C2314yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#395C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2312yes—
513#394C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#393C2314yes—
526#393C2314yes—
527#393C2314yes—
528#392C2312yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2312yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2314yes—
550#391C2314yes—
551#391C2314yes—
552#391C2312yes—
553#391C2311yescharacteristic
554#391C2314yes—
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2314yes—
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2312yes—
561#391C2311yescharacteristic
562#391C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2312yes—
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2314yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2311yescharacteristic
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
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#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#386C2312yes—
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#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2312yes—
725#385C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2311yescharacteristic
733#383C2314yes—
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2311yescharacteristic
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2314yes—
742#381C2314yes—
743#381C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2314yes—
816#376C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—44no—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—82no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×Q8C2414yes—
834C22×Q8C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2414yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2414yes—
867C4⋊Q8—24no—
868C4⋊Q8—24no—
869C4⋊Q8—44no—
870C4⋊Q8—42no—
871C4⋊Q8—48no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874#127—24no—
875#127—44no—
876#127—44no—
877#127—42no—
878#126—44no—
879#126—48no—
880#126—84no—
881#125—24no—
882#125—42no—
883#125—44no—
884#125—44no—
885#124—44no—
886#124—48no—
887#124—48no—
888#124—48no—
889#124—42no—
890#124—44no—
891#124—42no—
892#124—44no—
893#124—44no—
894#124—44no—
895#124—44no—
896#124—84no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—44no—
901#123—48no—
902#123—84no—
903C22⋊Q8—28no—
904C22⋊Q8—24no—
905C22⋊Q8—24no—
906C22⋊Q8—48no—
907C22⋊Q8—44no—
908C22⋊Q8—42no—
909C22⋊Q8—42no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—84no—
916#121—24no—
917#121—44no—
918#121—48no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—48no—
924#121—42no—
925#121—44no—
926#121—44no—
927#121—42no—
928#121—42no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—84no—
933#121—84no—
934#121—82no—
935C4×Q8—24no—
936C4×Q8—24no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×Q8—44no—
940C4×Q8—44no—
941C4×Q8—82no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—42no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4—42no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—42no—
959C4×D4—48no—
960#117—28no—
961#117—24no—
962#117—44no—
963#117—44no—
964#117—48no—
965#117—42no—
966#117—48no—
967#117—44no—
968C2×C4⋊C4—48no—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—44no—
1100C2×C42C2412yes—
1101C2×C42C2411yescharacteristic
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2414yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24C2511yescharacteristic
1197C24C2512yes—
1198C24C2511yescharacteristic
1199C24C2512yes—
1200C24C2514yes—
1201#41—816no—
1202#41—816no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—44no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×Q8—816no—
1225C2×D4—22no—
1226C2×D4—24no—
1227C2×D4—22no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—42no—
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—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—24no—
1287C22×C4—28no—
1288C22×C4—24no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—28no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—28no—
1304C22×C4—44no—
1305C22×C4—41no—
1306C22×C4—42no—
1307C22×C4—42no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—41no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—41no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2511yescharacteristic
1331C22×C4C2512yes—
1332C22×C4C2511yescharacteristic
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2514yes—
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—41no—
1387C4⋊C4—41no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4H(5,𝔽2)14yes—
1412C4⋊C42−1+414yes—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—22no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—42no—
1438C22⋊C4—41no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—44no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—24no—
1488C42—28no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—22no—
1493C42—24no—
1494C42—24no—
1495C42—22no—
1496C42—22no—
1497C42—42no—
1498C42—42no—
1499C42—42no—
1500C42—44no—
1501C42—44no—
1502C42—41no—
1503C42—44no—
1504C42—41no—
1505C42—44no—
1506C42—42no—
1507C42—42no—
1508C42H(5,𝔽2)14yes—
1509C23—21no—
1510C23—22no—
1511C23—21no—
1512C23—22no—
1513C23—24no—
1514C23—22no—
1515C23—22no—
1516C23—21no—
1517C23—24no—
1518C23—21no—
1519C23—21no—
1520C23—24no—
1521C23—22no—
1522C23—22no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—24no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—22no—
1536C23—24no—
1537C23—22no—
1538C23—24no—
1539C23—22no—
1540C23—22no—
1541C23—21no—
1542C23—24no—
1543C23—21no—
1544C23C2611yescharacteristic
1545Q8—48no—
1546Q8—48no—
1547Q8—44no—
1548Q8—44no—
1549Q8—88no—
1550Q8—84no—
1551Q8—164no—
1552D4—44no—
1553D4—48no—
1554D4—44no—
1555D4—44no—
1556D4—48no—
1557D4—84no—
1558D4—84no—
1559D4—84no—
1560D4—88no—
1561D4—84no—
1562D4—84no—
1563D4—84no—
1564D4—84no—
1565D4—88no—
1566D4—164no—
1567D4—164no—
1568D4—164no—
1569D4—164no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—416no—
1651C2×C4—44no—
1652C2×C4—44no—
1653C2×C4—48no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—84no—
1659C2×C4—82no—
1660C2×C4—88no—
1661C2×C4—84no—
1662C2×C4—88no—
1663C2×C4—164no—
1664C2×C4C2×H(5,𝔽2)14yes—
1665C2×C4C2×H(5,𝔽2)12yes—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4C2×H(5,𝔽2)12yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×2−1+414yes—
1670C2×C4C2×2−1+412yes—
1671C2×C4#58512yes—
1672C2×C4#58512yes—
1673C2×C4#58512yes—
1674C22—42no—
1675C22—41no—
1676C22—42no—
1677C22—41no—
1678C22—44no—
1679C22—41no—
1680C22—41no—
1681C22—42no—
1682C22—42no—
1683C22—44no—
1684C22—44no—
1685C22—42no—
1686C22—41no—
1687C22—42no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—44no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—44no—
1696C22—41no—
1697C22—42no—
1698C22—41no—
1699C22—41no—
1700C22—44no—
1701C22—41no—
1702C22—42no—
1703C22—42no—
1704C22—41no—
1705C22—44no—
1706C22—42no—
1707C22—42no—
1708C22—41no—
1709C22C22×H(5,𝔽2)11yescharacteristic
1710C22C22×H(5,𝔽2)11yescharacteristic
1711C22C22×2−1+411yescharacteristic
1712C22C2×#58511yescharacteristic
1713C22C2×#58511yescharacteristic
1714C22C2×#58511yescharacteristic
1715C22H(7,𝔽2)11yescharacteristic
1716C4—24no—
1717C4—24no—
1718C4—22no—
1719C4—22no—
1720C4—41no—
1721C4—41no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—44no—
1726C4—41no—
1727C4—41no—
1728C4—42no—
1729C4—41no—
1730C4—41no—
1731C4—42no—
1732C4—42no—
1733C4—41no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—44no—
1738C4—41no—
1739C4—44no—
1740C4—42no—
1741C4—42no—
1742C4—41no—
1743C4—42no—
1744C4#354614yes—
1745C4#354714yes—
1746C2—82no—
1747C2—81no—
1748C2—82no—
1749C2—81no—
1750C2—84no—
1751C2C2×#354611yescharacteristic
1752C2C2×#354711yescharacteristic
1753C2#6284111yescharacteristic
1754C2#6292311yescharacteristic
1755C2#6292411yescharacteristic
1756C2#6295211yescharacteristic
1757C2#6301311yescharacteristic
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. #59435C2semidirect
2. #59070C2semidirect
3. #59036C2semidirect
4. #58559C2semidirect
5. #57366C2semidirect
6. #55367C2semidirect
7. #53071C2semidirect
8. #53044C2semidirect
9. #49592C2semidirect
10. #46044C2semidirect
11. #45663C2semidirect
12. #45090C2semidirect
13. #45033C2semidirect
14. #42995C2semidirect
15. #42874C2semidirect
16. #42737C2semidirect
17. #42629C2semidirect
18. #39609C2semidirect
19. #39343C2semidirect
20. #39171C2semidirect
21. #39137C2semidirect
22. #38967C2semidirect
23. #38922C2semidirect
24. #38290C2semidirect
25. #37787C2semidirect
26. #37639C2semidirect
27. #37325C2semidirect
28. #37321C2semidirect
29. #36273C2semidirect
30. #36150C2semidirect
31. #36115C2semidirect
32. #35201C2semidirect
33. #35177C2semidirect
34. #34889C2semidirect
35. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#594352
#590702
#590362
#585592
#573662
#553672
#530712
#530442
#495922
#460442
#456632
#450902
#450332
#429952
#428742
#427372
#426292
#396092
#393432
#391712
#391372
#389672
#389222
#382902
#377872
#376392
#373252
#373212
#362732
#361502
#361152
#352012
#351772
#348892
#347932