Finite Group Databasebeta

← #8195236

Subgroups — #8195236

Order 512.

5111 conjugacy classes of subgroups.

The subgroup lattice has 1725 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59962C212yesmaximal, complemented
2#59815C211yesmaximal, characteristic, complemented
3#59466C211yesmaximal, characteristic, complemented
4#59459C211yesmaximal, characteristic, complemented
5#59444C211yesmaximal, characteristic, complemented
6#59047C212yesmaximal, complemented
7#58967C214yesmaximal, complemented
8#54850C214yesmaximal, complemented
9#53020C212yesmaximal, complemented
10#53016C212yesmaximal, complemented
11#49985C214yesmaximal, complemented
12#47564C214yesmaximal, complemented
13#46014C212yesmaximal, complemented
14#45603C212yesmaximal, complemented
15#44880C212yesmaximal, complemented
16#44875C212yesmaximal, complemented
17#42970C212yesmaximal, complemented
18#42798C212yesmaximal, complemented
19#42571C212yesmaximal, complemented
20#42439C212yesmaximal, complemented
21#39606C211yesmaximal, characteristic, complemented
22#39387C211yesmaximal, characteristic, complemented
23#39352C211yesmaximal, characteristic, complemented
24#38966C211yesmaximal, characteristic, complemented
25#38965C212yesmaximal, complemented
26#38952C212yesmaximal, complemented
27#38950C212yesmaximal, complemented
28#38922C212yesmaximal, complemented
29#36273C211yesmaximal, characteristic, complemented
30#36272C211yesmaximal, characteristic, complemented
31#36261C211yesmaximal, characteristic, complemented
32#36115C211yesmaximal, characteristic, complemented
33#35288C211yesmaximal, characteristic, complemented
34#34978C211yesmaximal, characteristic, complemented
35#34970C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2212yes—
38C2×#552C2212yes—
39C2×#552C2212yes—
40C2×#550C2212yes—
41C2×#547C2212yes—
42C2×#542C2212yes—
43C2×#540C2212yes—
44C2×#529C2212yes—
45#2859C2212yes—
46#2859C2211yescharacteristic
47#2858C2211yescharacteristic
48#2858C2212yes—
49#2857C2212yes—
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2850C2212yes—
53#2841C2214yes—
54#2837C2214yes—
55#2831C2214yes—
56#2823C2214yes—
57#2820C2214yes—
58#2820C2214yes—
59#2814C2214yes—
60#2792C2214yes—
61#2790C2214yes—
62#2781C2214yes—
63#2779C2214yes—
64#2768C2214yes—
65#2768C2214yes—
66#2768C2214yes—
67#2768C2214yes—
68#2748C2214yes—
69#2748C2214yes—
70#2730C2214yes—
71#2727C2214yes—
72#2724C2214yes—
73#2721C2214yes—
74#2717C2214yes—
75#2715C2214yes—
76#2715C2214yes—
77#2715C2214yes—
78#2708C2214yes—
79#2707C2214yes—
80#2707C2214yes—
81#2706C2214yes—
82#2705C2214yes—
83#2705C2214yes—
84#2704C2214yes—
85#2704C2214yes—
86#2702C2214yes—
87#2701C2214yes—
88#2698C2214yes—
89#2694C2214yes—
90#2694C2214yes—
91#2691C2214yes—
92#2687C2214yes—
93#2682C2214yes—
94#2682C2214yes—
95#2681C2214yes—
96#2680C2214yes—
97#2672C2214yes—
98#2672C2214yes—
99#2672C2214yes—
100#2672C2214yes—
101#2672C2214yes—
102#2671C2214yes—
103#2671C2214yes—
104#2662C2214yes—
105#2644C2212yes—
106#2629C2212yes—
107#2629C2212yes—
108#2629C2214yes—
109#2624C2214yes—
110#2624C2212yes—
111#2624C2212yes—
112#2620C2212yes—
113#2620C2214yes—
114#2620C2214yes—
115#2618C2214yes—
116#2612C2212yes—
117#2612C2212yes—
118#2611C2214yes—
119#2610C2214yes—
120#2609C2214yes—
121#2601C2214yes—
122#2586C2214yes—
123#2584C2212yes—
124#2584C2212yes—
125#2583C2214yes—
126#2579C2214yes—
127#2571C2211yescharacteristic
128#2567C2212yes—
129#2567C2212yes—
130#2566C2212yes—
131#2566C2212yes—
132#2566C2212yes—
133#2555C2214yes—
134#2553C2214yes—
135#2553C2214yes—
136#2552C2211yescharacteristic
137#2552C2212yes—
138#2552C2212yes—
139#2552C2211yescharacteristic
140#2552C2211yescharacteristic
141#2552C2211yescharacteristic
142#2552C2211yescharacteristic
143#2551C2211yescharacteristic
144#2551C2211yescharacteristic
145#2550C2212yes—
146#2550C2212yes—
147#2549C2214yes—
148#2548C2212yes—
149#2542C2211yescharacteristic
150#2542C2211yescharacteristic
151#2541C2211yescharacteristic
152#2541C2211yescharacteristic
153#2538C2212yes—
154#2538C2212yes—
155#2538C2212yes—
156#2537C2212yes—
157#2537C2212yes—
158#2536C2212yes—
159#2531C2212yes—
160#2526C2212yes—
161#2513C2212yes—
162#2513C2211yescharacteristic
163#2512C2212yes—
164#2512C2212yes—
165#2512C2212yes—
166#2508C2212yes—
167#2507C2211yescharacteristic
168#2507C2212yes—
169#2502C2212yes—
170#2501C2212yes—
171#2501C2214yes—
172#2498C2214yes—
173#2497C2211yescharacteristic
174#2496C2212yes—
175#2491C2212yes—
176#2491C2212yes—
177#2490C2211yescharacteristic
178#2490C2212yes—
179#2489C2212yes—
180#2485C2214yes—
181#2479C2214yes—
182#2479C2214yes—
183#2476C2212yes—
184#2471C2214yes—
185#2471C2212yes—
186#2467C2214yes—
187#2454C2212yes—
188#2454C2212yes—
189#2454C2212yes—
190#2454C2212yes—
191#2454C2212yes—
192#2454C2212yes—
193#2454C2211yescharacteristic
194#2454C2212yes—
195#2454C2212yes—
196#2451C2212yes—
197#2451C2212yes—
198#2448C2212yes—
199#2447C2212yes—
200#2445C2212yes—
201#2445C2211yescharacteristic
202#2445C2212yes—
203#2445C2212yes—
204#2445C2212yes—
205#2445C2212yes—
206#2445C2212yes—
207#2442C2212yes—
208#2441C2211yescharacteristic
209#2441C2212yes—
210#2441C2214yes—
211#2441C2212yes—
212#2441C2211yescharacteristic
213#2440C2212yes—
214#2440C2212yes—
215#2440C2214yes—
216#2439C2211yescharacteristic
217#2439C2211yescharacteristic
218#2439C2212yes—
219#2432C2214yes—
220#2430C2214yes—
221#2428C2212yes—
222#2428C2211yescharacteristic
223#2427C2212yes—
224#2427C2212yes—
225#2427C2212yes—
226#2426C2212yes—
227#2426C2212yes—
228#2426C2212yes—
229#2425C2214yes—
230#2423C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2420C2212yes—
234#2420C2211yescharacteristic
235#2417C2212yes—
236#2417C2212yes—
237#2416C2214yes—
238#2416C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2415C2212yes—
242#2415C2212yes—
243#2414C2212yes—
244#2413C2214yes—
245#2407C2214yes—
246#2406C2214yes—
247#2396C2212yes—
248#2396C2212yes—
249#2395C2212yes—
250#2392C2212yes—
251#2379C2214yes—
252#2370C2212yes—
253#2366C2212yes—
254#2366C2211yescharacteristic
255#2366C2211yescharacteristic
256#2365C2211yescharacteristic
257#2365C2211yescharacteristic
258#2363C2212yes—
259#2360C2212yes—
260#2359C2214yes—
261#2354C2212yes—
262#2354C2211yescharacteristic
263#2354C2212yes—
264Q8×C4⋊C4C2212yes—
265#2349C2212yes—
266D4×C4⋊C4C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268D4×C4⋊C4C2212yes—
269D4×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2211yescharacteristic
271#2324C2212yes—
272#2324C2212yes—
273#2319C2212yes—
274#2317C2212yes—
275#2316C2214yes—
276#2311C2214yes—
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#125C2211yescharacteristic
284C4×#125C2211yescharacteristic
285C4×#125C2212yes—
286C4×#125C2211yescharacteristic
287C4×#123C2212yes—
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291#2293C2212yes—
292#2293C2212yes—
293#2293C2211yescharacteristic
294C2×#389C2212yes—
295#2285C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2314yes—
300#555—48no—
301#554—48no—
302#552—48no—
303#552—48no—
304#550—48no—
305#547—48no—
306#542—48no—
307#540—48no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2312yes—
317C2×#127C2312yes—
318#529—48no—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
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×D4C2312yes—
399C2×#117C2312yes—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2314yes—
403C2×#117C2314yes—
404C2×#117C2314yes—
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2314yes—
409C2×#117C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2314yes—
412C22×C4⋊C4C2314yes—
413C22×C4⋊C4C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#399C2312yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2312yes—
430#399C2314yes—
431#399C2314yes—
432#399C2312yes—
433#399C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2314yes—
454#398C2312yes—
455#398C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2314yes—
489#396C2314yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2312yes—
495#395C2314yes—
496#395C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#395C2314yes—
502#395C2312yes—
503#395C2312yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2312yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#393C2314yes—
531#393C2312yes—
532#393C2312yes—
533#392C2314yes—
534#392C2312yes—
535#392C2314yes—
536#392C2314yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2314yes—
543#391C2312yes—
544#391C2314yes—
545#391C2314yes—
546#391C2312yes—
547#391C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2312yes—
627#389C2312yes—
628#389C2311yescharacteristic
629#389C2314yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2314yes—
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2314yes—
729#384C2312yes—
730#384C2311yescharacteristic
731#384C2314yes—
732#384C2312yes—
733#384C2312yes—
734#384C2311yescharacteristic
735#382C2311yescharacteristic
736#382C2311yescharacteristic
737#382C2311yescharacteristic
738#382C2312yes—
739#382C2314yes—
740#382C2314yes—
741#382C2312yes—
742#382C2312yes—
743#381C2314yes—
744#381C2312yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2314yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2311yescharacteristic
813#376C2312yes—
814#376C2311yescharacteristic
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—48no—
820C2×#41—48no—
821C2×#41—48no—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2411yescharacteristic
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—24no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859#127—28no—
860#127—24no—
861#127—24no—
862#127—44no—
863#126—48no—
864#126—48no—
865#126—48no—
866#126—48no—
867#125—24no—
868#125—24no—
869#125—24no—
870#125—44no—
871#125—44no—
872#125—48no—
873#125—48no—
874#125—44no—
875#125—44no—
876#125—44no—
877#124—48no—
878#124—48no—
879#124—48no—
880#124—44no—
881#124—44no—
882#124—48no—
883#123—48no—
884#123—44no—
885#123—48no—
886#123—48no—
887#123—48no—
888#123—48no—
889#123—48no—
890#123—48no—
891#123—48no—
892#123—48no—
893C22⋊Q8—28no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903#121—24no—
904#121—28no—
905#121—24no—
906#121—44no—
907#121—48no—
908#121—44no—
909#121—48no—
910#121—48no—
911#121—48no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—48no—
918#121—48no—
919C4×Q8—28no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—48no—
943#117—24no—
944#117—28no—
945#117—24no—
946#117—44no—
947#117—44no—
948#117—48no—
949#117—48no—
950#117—42no—
951#117—48no—
952#117—42no—
953#117—48no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—48no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—48no—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C42—24no—
1100C2×C42—44no—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2511yescharacteristic
1194C24C2512yes—
1195C24C2514yes—
1196C24C2512yes—
1197#41—832no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—44no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—28no—
1214C2×D4—28no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—28no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—42no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4H(5,𝔽2)14yes—
1252C22×C4—28no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—28no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—28no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—28no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—28no—
1274C22×C4—44no—
1275C22×C4—41no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2514yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C4⋊C4—24no—
1323C4⋊C4—28no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—28no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—28no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—41no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4H(5,𝔽2)14yes—
1402C4⋊C4H(5,𝔽2)14yes—
1403C4⋊C42−1+414yes—
1404C22⋊C4—28no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—22no—
1420C22⋊C4—28no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—42no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—28no—
1466C42—24no—
1467C42—22no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—28no—
1472C42—22no—
1473C42—24no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—24no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—24no—
1485C42—42no—
1486C42—42no—
1487C42—41no—
1488C42—41no—
1489C42—41no—
1490C42—44no—
1491C42—44no—
1492C42—42no—
1493C422−1+414yes—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—21no—
1501C23—22no—
1502C23—21no—
1503C23—24no—
1504C23—24no—
1505C23—22no—
1506C23—21no—
1507C23—24no—
1508C23—22no—
1509C23—22no—
1510C23—24no—
1511C23—22no—
1512C23—21no—
1513C23—21no—
1514C23—24no—
1515C23—22no—
1516C23—24no—
1517C23—21no—
1518C23—21no—
1519C23—24no—
1520C23—22no—
1521C23C2×H(5,𝔽2)14yes—
1522C23C2611yescharacteristic
1523Q8—48no—
1524Q8—48no—
1525Q8—84no—
1526Q8—164no—
1527D4—28no—
1528D4—48no—
1529D4—48no—
1530D4—44no—
1531D4—48no—
1532D4—84no—
1533D4—84no—
1534D4—88no—
1535D4—84no—
1536D4—84no—
1537D4—88no—
1538D4—88no—
1539D4—164no—
1540D4—164no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—416no—
1623C2×C4—44no—
1624C2×C4—416no—
1625C2×C4—44no—
1626C2×C4—48no—
1627C2×C4—48no—
1628C2×C4—44no—
1629C2×C4—84no—
1630C2×C4—88no—
1631C2×C4—88no—
1632C2×C4—84no—
1633C2×C4—88no—
1634C2×C4—164no—
1635C2×C4C2×H(5,𝔽2)14yes—
1636C2×C4C2×H(5,𝔽2)14yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)12yes—
1640C2×C4C2×2−1+412yes—
1641C2×C4C2×2−1+414yes—
1642C2×C4C2×2−1+412yes—
1643C2×C4C2×2−1+412yes—
1644C2×C4C2×2−1+412yes—
1645C2×C4#58512yes—
1646C2×C4#58512yes—
1647C22—24no—
1648C22—24no—
1649C22—24no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
1653C22—42no—
1654C22—41no—
1655C22—44no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—44no—
1662C22—41no—
1663C22—44no—
1664C22—41no—
1665C22—42no—
1666C22—42no—
1667C22—44no—
1668C22—41no—
1669C22—41no—
1670C22—44no—
1671C22—42no—
1672C22—41no—
1673C22—44no—
1674C22—42no—
1675C22C22×H(5,𝔽2)11yescharacteristic
1676C22C22×H(5,𝔽2)11yescharacteristic
1677C22C22×H(5,𝔽2)11yescharacteristic
1678C22C22×2−1+411yescharacteristic
1679C22C22×2−1+411yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C4—24no—
1683C4—22no—
1684C4—24no—
1685C4—24no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—42no—
1691C4—42no—
1692C4—44no—
1693C4—44no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—41no—
1701C4—42no—
1702C4—44no—
1703C4—42no—
1704C4—41no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—41no—
1710C4—41no—
1711C4#354414yes—
1712C4#354814yes—
1713C2—44no—
1714C2—81no—
1715C2—82no—
1716C2—84no—
1717C2C2×#354411yescharacteristic
1718C2C2×#354811yescharacteristic
1719C2#6283111yescharacteristic
1720C2#6301211yescharacteristic
1721C2#6301311yescharacteristic
1722C2#6301411yescharacteristic
1723C2#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. #59962C2semidirect
2. #59815C2semidirect
3. #59466C2semidirect
4. #59459C2semidirect
5. #59444C2semidirect
6. #59047C2semidirect
7. #58967C2semidirect
8. #54850C2semidirect
9. #53020C2semidirect
10. #53016C2semidirect
11. #49985C2semidirect
12. #47564C2semidirect
13. #46014C2semidirect
14. #45603C2semidirect
15. #44880C2semidirect
16. #44875C2semidirect
17. #42970C2semidirect
18. #42798C2semidirect
19. #42571C2semidirect
20. #42439C2semidirect
21. #39606C2semidirect
22. #39387C2semidirect
23. #39352C2semidirect
24. #38966C2semidirect
25. #38965C2semidirect
26. #38952C2semidirect
27. #38950C2semidirect
28. #38922C2semidirect
29. #36273C2semidirect
30. #36272C2semidirect
31. #36261C2semidirect
32. #36115C2semidirect
33. #35288C2semidirect
34. #34978C2semidirect
35. #34970C2semidirect

Maximal subgroups

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

subgroupindex
#599622
#598152
#594662
#594592
#594442
#590472
#589672
#548502
#530202
#530162
#499852
#475642
#460142
#456032
#448802
#448752
#429702
#427982
#425712
#424392
#396062
#393872
#393522
#389662
#389652
#389522
#389502
#389222
#362732
#362722
#362612
#361152
#352882
#349782
#349702