Finite Group Databasebeta

← #8196894

Subgroups — #8196894

Order 512.

4916 conjugacy classes of subgroups.

The subgroup lattice has 1795 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59755C212yesmaximal, complemented
2#59678C212yesmaximal, complemented
3#59234C211yesmaximal, characteristic, complemented
4#59217C211yesmaximal, characteristic, complemented
5#59134C211yesmaximal, characteristic, complemented
6#59125C211yesmaximal, characteristic, complemented
7#58418C214yesmaximal, complemented
8#57366C214yesmaximal, complemented
9#53051C212yesmaximal, complemented
10#53046C212yesmaximal, complemented
11#49636C214yesmaximal, complemented
12#46610C214yesmaximal, complemented
13#46339C212yesmaximal, complemented
14#45663C212yesmaximal, complemented
15#45126C212yesmaximal, complemented
16#45101C212yesmaximal, complemented
17#42989C212yesmaximal, complemented
18#42867C212yesmaximal, complemented
19#42805C212yesmaximal, complemented
20#42449C212yesmaximal, complemented
21#40131C212yesmaximal, complemented
22#40033C212yesmaximal, complemented
23#39737C211yesmaximal, characteristic, complemented
24#39665C212yesmaximal, complemented
25#39652C212yesmaximal, complemented
26#39471C211yesmaximal, characteristic, complemented
27#39468C211yesmaximal, characteristic, complemented
28#39350C211yesmaximal, characteristic, complemented
29#36504C211yesmaximal, characteristic, complemented
30#36473C211yesmaximal, characteristic, complemented
31#36450C211yesmaximal, characteristic, complemented
32#36404C211yesmaximal, characteristic, complemented
33#35279C211yesmaximal, characteristic, complemented
34#34977C211yesmaximal, characteristic, complemented
35#34976C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2212yes—
38C2×#548C2212yes—
39C2×#547C2211yescharacteristic
40C2×#542C2212yes—
41C2×#532C2211yescharacteristic
42C22×C4⋊Q8C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2863C2212yes—
46#2860C2212yes—
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2855C2212yes—
52#2850C2212yes—
53#2832C2214yes—
54#2829C2214yes—
55#2829C2214yes—
56#2828C2214yes—
57#2827C2214yes—
58#2824C2214yes—
59#2819C2214yes—
60#2799C2214yes—
61#2797C2214yes—
62#2797C2214yes—
63#2796C2214yes—
64#2796C2214yes—
65#2795C2214yes—
66#2790C2214yes—
67#2790C2214yes—
68#2788C2214yes—
69#2781C2214yes—
70#2778C2214yes—
71#2775C2214yes—
72#2775C2214yes—
73#2774C2214yes—
74#2772C2214yes—
75#2763C2214yes—
76#2759C2214yes—
77#2756C2214yes—
78#2753C2214yes—
79#2749C2214yes—
80#2742C2214yes—
81#2741C2214yes—
82#2737C2214yes—
83#2737C2214yes—
84#2733C2214yes—
85#2730C2214yes—
86#2730C2214yes—
87#2727C2214yes—
88#2717C2214yes—
89#2716C2214yes—
90#2715C2214yes—
91#2712C2214yes—
92#2710C2214yes—
93#2705C2214yes—
94#2703C2214yes—
95#2698C2214yes—
96#2696C2214yes—
97#2692C2214yes—
98#2691C2214yes—
99#2691C2214yes—
100#2688C2214yes—
101#2676C2214yes—
102#2674C2214yes—
103#2673C2214yes—
104#2666C2214yes—
105#2665C2214yes—
106#2662C2214yes—
107#2653C2214yes—
108#2649C2214yes—
109#2636C2214yes—
110#2628C2212yes—
111#2628C2212yes—
112#2625C2212yes—
113#2620C2212yes—
114#2616C2212yes—
115#2615C2212yes—
116#2610C2212yes—
117#2610C2212yes—
118#2609C2212yes—
119#2609C2212yes—
120#2604C2214yes—
121#2597C2214yes—
122#2597C2214yes—
123#2582C2211yescharacteristic
124#2577C2214yes—
125#2576C2214yes—
126#2568C2211yescharacteristic
127#2568C2212yes—
128#2567C2211yescharacteristic
129#2567C2212yes—
130#2563C2212yes—
131#2563C2211yescharacteristic
132#2562C2212yes—
133#2562C2212yes—
134#2560C2214yes—
135#2555C2214yes—
136#2554C2214yes—
137#2552C2211yescharacteristic
138#2551C2211yescharacteristic
139#2548C2211yescharacteristic
140#2547C2212yes—
141#2547C2212yes—
142#2547C2211yescharacteristic
143#2547C2211yescharacteristic
144#2545C2212yes—
145#2544C2214yes—
146#2544C2212yes—
147#2542C2212yes—
148#2542C2211yescharacteristic
149#2541C2211yescharacteristic
150#2540C2212yes—
151#2540C2212yes—
152#2538C2211yescharacteristic
153#2538C2211yescharacteristic
154#2538C2211yescharacteristic
155#2537C2211yescharacteristic
156#2537C2212yes—
157#2537C2211yescharacteristic
158#2536C2212yes—
159#2528C2214yes—
160#2521C2214yes—
161#2521C2214yes—
162#2520C2214yes—
163#2514C2212yes—
164#2513C2212yes—
165#2512C2214yes—
166#2511C2214yes—
167#2511C2212yes—
168#2500C2212yes—
169#2499C2212yes—
170#2497C2212yes—
171#2497C2212yes—
172#2496C2212yes—
173#2496C2212yes—
174#2495C2212yes—
175#2494C2212yes—
176#2492C2212yes—
177#2492C2212yes—
178#2492C2212yes—
179#2492C2212yes—
180#2491C2212yes—
181#2491C2212yes—
182#2491C2212yes—
183#2490C2212yes—
184#2489C2212yes—
185#2487C2212yes—
186#2487C2212yes—
187#2487C2212yes—
188#2486C2212yes—
189#2485C2212yes—
190#2485C2212yes—
191#2485C2211yescharacteristic
192#2485C2212yes—
193#2485C2211yescharacteristic
194#2485C2212yes—
195#2481C2214yes—
196#2479C2214yes—
197#2476C2214yes—
198#2474C2214yes—
199#2470C2214yes—
200#2467C2214yes—
201#2467C2214yes—
202#2465C2214yes—
203#2457C2214yes—
204#2451C2212yes—
205#2451C2212yes—
206#2448C2214yes—
207#2448C2212yes—
208#2447C2212yes—
209#2446C2212yes—
210#2443C2214yes—
211#2441C2212yes—
212#2440C2212yes—
213#2440C2212yes—
214#2439C2212yes—
215#2436C2212yes—
216#2432C2212yes—
217#2431C2212yes—
218#2431C2212yes—
219#2429C2212yes—
220#2427C2212yes—
221#2426C2212yes—
222#2423C2214yes—
223#2423C2212yes—
224#2420C2212yes—
225#2417C2212yes—
226#2417C2212yes—
227#2416C2212yes—
228#2416C2212yes—
229#2415C2212yes—
230#2415C2212yes—
231#2415C2212yes—
232#2414C2212yes—
233#2414C2211yescharacteristic
234#2414C2211yescharacteristic
235#2414C2211yescharacteristic
236#2414C2211yescharacteristic
237#2409C2212yes—
238#2409C2212yes—
239#2409C2212yes—
240#2407C2211yescharacteristic
241#2407C2212yes—
242#2407C2212yes—
243#2407C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2211yescharacteristic
247#2392C2212yes—
248#2392C2212yes—
249#2388C2212yes—
250#2388C2212yes—
251#2377C2214yes—
252#2369C2212yes—
253#2367C2214yes—
254#2365C2211yescharacteristic
255#2365C2211yescharacteristic
256#2363C2212yes—
257#2363C2212yes—
258#2362C2212yes—
259#2362C2212yes—
260#2360C2212yes—
261#2355C2212yes—
262#2355C2211yescharacteristic
263#2354C2212yes—
264#2354C2211yescharacteristic
265#2354C2211yescharacteristic
266#2352C2212yes—
267#2352C2212yes—
268D4×C4⋊C4C2212yes—
269D4×C4⋊C4C2211yescharacteristic
270#2347C2212yes—
271#2345C2212yes—
272Q8×C22⋊C4C2212yes—
273#2337C2214yes—
274#2332C2214yes—
275#2323C2212yes—
276#2317C2212yes—
277#2311C2212yes—
278#2311C2212yes—
279#2311C2212yes—
280C4×C4⋊Q8C2212yes—
281C4×#127C2212yes—
282C4×#125C2212yes—
283C4×#124C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292C4×#121C2212yes—
293C4×#121C2211yescharacteristic
294C4×#121C2211yescharacteristic
295#2297C2212yes—
296#2285C2211yescharacteristic
297#2285C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2312yes—
304#556—48no—
305#556—44no—
306#548—48no—
307#547—44no—
308#542—48no—
309#532—44no—
310C2×C4⋊Q8—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×#127C2312yes—
320C2×#127C2311yescharacteristic
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#125C2312yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2314yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2314yes—
365C2×#121C2312yes—
366C4×#41—44no—
367C4×#41—44no—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2314yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417#401C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2312yes—
470#396C2312yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#395C2312yes—
476#395C2312yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#394C2312yes—
484#394C2314yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2312yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2312yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2312yes—
516#393C2312yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#392C2312yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2312yes—
529#392C2312yes—
530#392C2314yes—
531#392C2312yes—
532#392C2312yes—
533#392C2312yes—
534#392C2312yes—
535#392C2312yes—
536#392C2314yes—
537#391C2314yes—
538#391C2314yes—
539#391C2314yes—
540#391C2314yes—
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2311yescharacteristic
554#391C2311yescharacteristic
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2314yes—
560#391C2314yes—
561#391C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2314yes—
577#390C2311yescharacteristic
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2312yes—
616#389C2314yes—
617#389C2312yes—
618#388C2312yes—
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#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#384C2312yes—
726#384C2312yes—
727#384C2314yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2312yes—
732#384C2311yescharacteristic
733#383C2314yes—
734#383C2314yes—
735#382C2312yes—
736#382C2314yes—
737#382C2312yes—
738#382C2314yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#381C2314yes—
743#381C2314yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2314yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2314yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817#376C2312yes—
818C43C2312yes—
819C2×#41—24no—
820C2×#41—42no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—42no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C22×Q8—44no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2414yes—
838C22×Q8C2414yes—
839C22×Q8C2412yes—
840C22×Q8C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C4⋊Q8—28no—
878C4⋊Q8—24no—
879C4⋊Q8—24no—
880C4⋊Q8—44no—
881C4⋊Q8—44no—
882C4⋊Q8—44no—
883C4⋊Q8—42no—
884C4⋊Q8—44no—
885#127—42no—
886#127—44no—
887#126—48no—
888#126—48no—
889#126—48no—
890#126—48no—
891#125—44no—
892#124—28no—
893#124—44no—
894#124—48no—
895#124—44no—
896#124—48no—
897#124—44no—
898#124—44no—
899#124—48no—
900#124—48no—
901#123—48no—
902#123—48no—
903C22⋊Q8—28no—
904C22⋊Q8—28no—
905C22⋊Q8—48no—
906C22⋊Q8—48no—
907C22⋊Q8—44no—
908C22⋊Q8—42no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—42no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917#121—24no—
918#121—24no—
919#121—44no—
920#121—48no—
921#121—48no—
922#121—44no—
923#121—42no—
924#121—42no—
925#121—42no—
926#121—44no—
927#121—44no—
928#121—42no—
929#121—42no—
930#121—42no—
931#121—44no—
932C4×Q8—28no—
933C4×Q8—24no—
934C4×Q8—42no—
935C4×Q8—42no—
936C4×Q8—42no—
937C4×Q8—44no—
938C4×Q8—48no—
939C4×Q8—44no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—48no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—42no—
954C4×D4—42no—
955C4×D4—42no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961#117—24no—
962#117—42no—
963#117—42no—
964#117—42no—
965#117—44no—
966#117—44no—
967#117—44no—
968#117—44no—
969#117—42no—
970#117—42no—
971#117—44no—
972#117—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—44no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C42—24no—
1110C2×C42—24no—
1111C2×C42—24no—
1112C2×C42—44no—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133C2×C42C2412yes—
1134C2×C42C2414yes—
1135C2×C42C2414yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201C24C2511yescharacteristic
1202C24C2512yes—
1203C24C2512yes—
1204C24C2512yes—
1205C24C2511yescharacteristic
1206C24C2511yescharacteristic
1207#41—416no—
1208#41—416no—
1209#41—816no—
1210#41—816no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—28no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—41no—
1222C2×Q8—41no—
1223C2×Q8—44no—
1224C2×Q8—42no—
1225C2×Q8—44no—
1226C2×Q8—44no—
1227C2×Q8—44no—
1228C2×Q8—44no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—816no—
1232C2×Q82−1+414yes—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—22no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—41no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—24no—
1325C22×C4—42no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4C2511yescharacteristic
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2514yes—
1347C22×C4C2512yes—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2514yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2514yes—
1358C22×C4C2512yes—
1359C22×C4C2511yescharacteristic
1360C22×C4C2514yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—28no—
1382C4⋊C4—28no—
1383C4⋊C4—28no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—44no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—41no—
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—41no—
1406C4⋊C4—41no—
1407C4⋊C4—41no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4H(5,𝔽2)14yes—
1434C22⋊C4—28no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—42no—
1457C22⋊C4—41no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—22no—
1510C42—22no—
1511C42—24no—
1512C42—24no—
1513C42—24no—
1514C42—24no—
1515C42—28no—
1516C42—24no—
1517C42—24no—
1518C42—24no—
1519C42—42no—
1520C42—42no—
1521C42—44no—
1522C42—44no—
1523C42—42no—
1524C42—44no—
1525C42—44no—
1526C42—44no—
1527C42—44no—
1528C42—42no—
1529C42H(5,𝔽2)14yes—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—22no—
1538C23—22no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—21no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—21no—
1569C23—22no—
1570C23—21no—
1571C23#58512yes—
1572C23C2611yescharacteristic
1573Q8—44no—
1574Q8—44no—
1575Q8—48no—
1576Q8—48no—
1577Q8—88no—
1578Q8—88no—
1579Q8—84no—
1580D4—48no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—48no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591D4—84no—
1592D4—84no—
1593D4—84no—
1594D4—84no—
1595D4—84no—
1596D4—84no—
1597D4—88no—
1598D4—164no—
1599C2×C4—28no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—24no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—21no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—48no—
1679C2×C4—44no—
1680C2×C4—44no—
1681C2×C4—48no—
1682C2×C4—48no—
1683C2×C4—44no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—48no—
1688C2×C4—84no—
1689C2×C4—88no—
1690C2×C4—88no—
1691C2×C4—164no—
1692C2×C4C2×H(5,𝔽2)12yes—
1693C2×C4C2×H(5,𝔽2)14yes—
1694C2×C4C2×H(5,𝔽2)12yes—
1695C2×C4C2×H(5,𝔽2)12yes—
1696C2×C4C2×H(5,𝔽2)12yes—
1697C2×C4C2×2−1+412yes—
1698C2×C4C2×2−1+412yes—
1699C2×C4C2×2−1+412yes—
1700C2×C4#58512yes—
1701C2×C4#58512yes—
1702C2×C4#58512yes—
1703C22—22no—
1704C22—22no—
1705C22—22no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—42no—
1711C22—41no—
1712C22—41no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—41no—
1717C22—41no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—41no—
1723C22—42no—
1724C22—41no—
1725C22—41no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—41no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22C22×H(5,𝔽2)11yescharacteristic
1746C22C22×H(5,𝔽2)11yescharacteristic
1747C22C22×2−1+411yescharacteristic
1748C22C2×#58511yescharacteristic
1749C22C2×#58511yescharacteristic
1750C22C2×#58511yescharacteristic
1751C22C2×#58511yescharacteristic
1752C4—24no—
1753C4—22no—
1754C4—22no—
1755C4—22no—
1756C4—22no—
1757C4—41no—
1758C4—41no—
1759C4—42no—
1760C4—41no—
1761C4—42no—
1762C4—42no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4—41no—
1767C4—44no—
1768C4—44no—
1769C4—42no—
1770C4—44no—
1771C4—42no—
1772C4—42no—
1773C4—44no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—42no—
1778C4—42no—
1779C4#354014yes—
1780C4#354614yes—
1781C2—42no—
1782C2—82no—
1783C2—81no—
1784C2—81no—
1785C2—82no—
1786C2—82no—
1787C2C2×#354011yescharacteristic
1788C2C2×#354611yescharacteristic
1789C2#6281911yescharacteristic
1790C2#6301811yescharacteristic
1791C2#6302911yescharacteristic
1792C2#6303411yescharacteristic
1793C2#6303911yescharacteristic
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. #59755C2semidirect
2. #59678C2semidirect
3. #59234C2semidirect
4. #59217C2semidirect
5. #59134C2semidirect
6. #59125C2semidirect
7. #58418C2semidirect
8. #57366C2semidirect
9. #53051C2semidirect
10. #53046C2semidirect
11. #49636C2semidirect
12. #46610C2semidirect
13. #46339C2semidirect
14. #45663C2semidirect
15. #45126C2semidirect
16. #45101C2semidirect
17. #42989C2semidirect
18. #42867C2semidirect
19. #42805C2semidirect
20. #42449C2semidirect
21. #40131C2semidirect
22. #40033C2semidirect
23. #39737C2semidirect
24. #39665C2semidirect
25. #39652C2semidirect
26. #39471C2semidirect
27. #39468C2semidirect
28. #39350C2semidirect
29. #36504C2semidirect
30. #36473C2semidirect
31. #36450C2semidirect
32. #36404C2semidirect
33. #35279C2semidirect
34. #34977C2semidirect
35. #34976C2semidirect

Maximal subgroups

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

subgroupindex
#597552
#596782
#592342
#592172
#591342
#591252
#584182
#573662
#530512
#530462
#496362
#466102
#463392
#456632
#451262
#451012
#429892
#428672
#428052
#424492
#401312
#400332
#397372
#396652
#396522
#394712
#394682
#393502
#365042
#364732
#364502
#364042
#352792
#349772
#349762