Finite Group Databasebeta

← #8429472

Subgroups — #8429472

Order 512.

4271 conjugacy classes of subgroups.

The subgroup lattice has 1625 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59681C211yesmaximal, characteristic, complemented
2#59593C212yesmaximal, complemented
3#59456C212yesmaximal, complemented
4#59081C211yesmaximal, characteristic, complemented
5#59071C211yesmaximal, characteristic, complemented
6#56689C214yesmaximal, complemented
7#55947C214yesmaximal, complemented
8#53092C212yesmaximal, complemented
9#53070C212yesmaximal, complemented
10#53054C212yesmaximal, complemented
11#53050C212yesmaximal, complemented
12#52535C214yesmaximal, complemented
13#42860C212yesmaximal
14#42857C212yesmaximal, complemented
15#42714C212yesmaximal, complemented
16#42707C212yesmaximal, complemented
17#40707C214yesmaximal, complemented
18#39787C212yesmaximal, complemented
19#39691C212yesmaximal, complemented
20#39619C211yesmaximal, characteristic, complemented
21#39609C211yesmaximal, characteristic, complemented
22#39283C212yesmaximal, complemented
23#39219C212yesmaximal, complemented
24#39203C211yesmaximal, characteristic, complemented
25#39139C211yesmaximal, characteristic, complemented
26#37633C211yesmaximal, characteristic, complemented
27#37631C211yesmaximal, characteristic, complemented
28#37593C212yesmaximal, complemented
29#37522C212yesmaximal, complemented
30#36480C211yesmaximal, characteristic, complemented
31#36456C211yesmaximal, characteristic, complemented
32#36151C211yesmaximal, characteristic, complemented
33#34979C211yesmaximal, characteristic, complemented
34#34793C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic
36C2×Q82C2211yescharacteristic
37C2×#557C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2863C2212yes—
43#2862C2211yescharacteristic
44#2857C2212yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2839C2214yes—
48#2839C2214yes—
49#2838C2214yes—
50#2838C2214yes—
51#2837C2214yes—
52#2836C2214yes—
53#2832C2214yes—
54#2832C2214yes—
55#2831C2214yes—
56#2831C2214yes—
57#2831C2214yes—
58#2830C2214yes—
59#2829C2214yes—
60#2814C2214yes—
61#2808C2214yes—
62#2806C2214yes—
63#2803C2214yes—
64#2802C2214yes—
65#2802C2214yes—
66#2800C2214yes—
67#2800C2214yes—
68#2798C2214yes—
69#2798C2214yes—
70#2798C2214yes—
71#2794C2214yes—
72#2793C2214yes—
73#2789C2214yes—
74#2788C2214yes—
75#2787C2214yes—
76#2783C2214yes—
77#2781C2214yes—
78#2777C2214yes—
79#2777C2214yes—
80#2775C2214yes—
81#2774C2214yes—
82#2774C2214yes—
83#2772C2214yes—
84#2768C2214yes—
85#2766C2214yes—
86#2755C2214yes—
87#2755C2214yes—
88#2754C2214yes—
89#2754C2214yes—
90#2754C2214yes—
91#2742C2214yes—
92#2729C2214yes—
93#2721C2214yes—
94#2719C2214yes—
95#2713C2214yes—
96#2713C2214yes—
97#2694C2214yes—
98#2663C2214yes—
99#2660C2212yes—
100#2652C2214yes—
101#2652C2214yes—
102#2652C2214yes—
103#2652C2214yes—
104#2651C2214yes—
105#2651C2214yes—
106#2651C2214yes—
107#2650C2214yes—
108#2650C2214yes—
109#2645C2212yes—
110#2640C2212yes—
111#2637C2214yes—
112#2629C2212yes—
113#2629C2212yes—
114#2628C2212yes—
115#2628C2212yes—
116#2625C2212yes—
117#2625C2212yes—
118#2621C2212yes—
119#2621C2212yes—
120#2620C2212yes—
121#2611C2214yes—
122#2605C2214yes—
123#2597C2214yes—
124#2596C2214yes—
125#2594C2214yes—
126#2590C2214yes—
127#2590C2214yes—
128#2589C2214yes—
129#2585C2214yes—
130#2585C2214yes—
131#2585C2214yes—
132#2584C2214yes—
133#2575C2214yes—
134#2571C2212yes—
135#2570C2212yes—
136#2570C2212yes—
137#2568C2212yes—
138#2568C2211yescharacteristic
139#2568C2211yescharacteristic
140#2567C2211yescharacteristic
141#2567C2212yes—
142#2565C2212yes—
143#2565C2212yes—
144#2563C2211yescharacteristic
145#2563C2212yes—
146#2556C2214yes—
147#2552C2212yes—
148#2551C2211yescharacteristic
149#2550C2212yes—
150#2547C2211yescharacteristic
151#2546C2211yescharacteristic
152#2546C2212yes—
153#2546C2211yescharacteristic
154#2545C2212yes—
155#2542C2211yescharacteristic
156#2542C2212yes—
157#2538C2212yes—
158#2538C2211yescharacteristic
159#2536C2212yes—
160#2536C2212yes—
161#2530C2212yes—
162#2528C2212yes—
163#2517C2212yes—
164#2513C2212yes—
165#2513C2212yes—
166#2511C2212yes—
167#2511C2211yescharacteristic
168#2511C2212yes—
169#2509C2212yes—
170#2509C2212yes—
171#2509C2212yes—
172#2508C2214yes—
173#2507C2212yes—
174#2507C2214yes—
175#2506C2211yescharacteristic
176#2499C2211yescharacteristic
177#2499C2212yes—
178#2497C2212yes—
179#2494C2211yescharacteristic
180#2494C2212yes—
181#2492C2212yes—
182#2492C2212yes—
183#2492C2212yes—
184#2492C2212yes—
185#2490C2212yes—
186#2489C2212yes—
187#2489C2212yes—
188#2489C2212yes—
189#2489C2212yes—
190#2489C2211yescharacteristic
191#2485C2212yes—
192#2485C2212yes—
193#2485C2211yescharacteristic
194#2478C2212yes—
195#2475C2214yes—
196#2470C2212yes—
197#2466C2212yes—
198#2465C2214yes—
199#2465C2214yes—
200#2460C2212yes—
201#2458C2214yes—
202#2455C2212yes—
203#2453C2212yes—
204#2453C2212yes—
205#2453C2212yes—
206#2453C2211yescharacteristic
207#2453C2212yes—
208#2452C2214yes—
209#2452C2212yes—
210#2451C2212yes—
211#2451C2212yes—
212#2451C2212yes—
213#2451C2212yes—
214#2451C2212yes—
215#2448C2212yes—
216#2448C2212yes—
217#2447C2211yescharacteristic
218#2446C2214yes—
219#2446C2212yes—
220#2446C2212yes—
221#2446C2212yes—
222#2446C2212yes—
223#2441C2211yescharacteristic
224#2441C2211yescharacteristic
225#2439C2212yes—
226#2439C2212yes—
227#2439C2212yes—
228#2439C2214yes—
229#2432C2211yescharacteristic
230#2432C2212yes—
231#2429C2212yes—
232#2429C2212yes—
233#2429C2212yes—
234#2429C2211yescharacteristic
235#2423C2212yes—
236#2423C2212yes—
237#2422C2211yescharacteristic
238#2421C2212yes—
239#2421C2212yes—
240#2421C2212yes—
241#2421C2212yes—
242#2415C2212yes—
243#2415C2212yes—
244#2415C2212yes—
245#2415C2211yescharacteristic
246#2415C2212yes—
247#2415C2211yescharacteristic
248#2407C2211yescharacteristic
249#2401C2212yes—
250#2395C2214yes—
251#2395C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2370C2212yes—
255#2369C2211yescharacteristic
256#2365C2212yes—
257#2365C2212yes—
258#2365C2211yescharacteristic
259#2365C2212yes—
260#2365C2212yes—
261#2362C2212yes—
262#2362C2212yes—
263#2362C2212yes—
264#2355C2214yes—
265#2355C2211yescharacteristic
266#2351C2212yes—
267#2351C2212yes—
268#2351C2212yes—
269Q8×C4⋊C4C2211yescharacteristic
270#2347C2212yes—
271#2341C2212yes—
272#2332C2214yes—
273#2327C2212yes—
274#2323C2212yes—
275#2323C2212yes—
276#2323C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2212yes—
280C4×C4⋊Q8C2212yes—
281C4×#125C2211yescharacteristic
282C4×#125C2212yes—
283C4×#124C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×#123C2212yes—
292#2298C2212yes—
293#2296C2212yes—
294#2295C2211yescharacteristic
295#2293C2211yescharacteristic
296#2285C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300Q82—44no—
301#557—44no—
302#533—44no—
303#533—44no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316#529—44no—
317C2×#126C2312yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#123C2312yes—
328C2×#123C2312yes—
329C2×C22⋊Q8C2311yescharacteristic
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×#121C2311yescharacteristic
345C4×#41—44no—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2314yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C22×C42C2311yescharacteristic
380C22×C42C2311yescharacteristic
381C22×C42C2312yes—
382#401C2314yes—
383#401C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#397C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#394C2312yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2312yes—
502#394C2312yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#392C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2314yes—
527#391C2314yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2314yes—
533#391C2314yes—
534#391C2312yes—
535#391C2314yes—
536#391C2314yes—
537#391C2312yes—
538#391C2314yes—
539#391C2314yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2312yes—
545#391C2311yescharacteristic
546#391C2312yes—
547#391C2311yescharacteristic
548#391C2311yescharacteristic
549#391C2314yes—
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2312yes—
553#390C2314yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2314yes—
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2312yes—
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2314yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2312yes—
612#389C2314yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#388C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2312yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#386C2312yes—
709#385C2314yes—
710#385C2312yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#384C2312yes—
722#384C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2314yes—
728#384C2311yescharacteristic
729#383C2314yes—
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2312yes—
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2314yes—
740#382C2314yes—
741#382C2314yes—
742#382C2312yes—
743#381C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812#376C2312yes—
813#376C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—24no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2414yes—
826C22×Q8C2414yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C4⋊Q8—24no—
841C4⋊Q8—28no—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—24no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849C4⋊Q8—44no—
850C4⋊Q8—44no—
851C4⋊Q8—48no—
852#126—44no—
853#125—24no—
854#125—44no—
855#125—42no—
856#125—44no—
857#125—44no—
858#125—44no—
859#125—48no—
860#124—44no—
861#124—42no—
862#123—44no—
863#123—44no—
864C22⋊Q8—24no—
865C22⋊Q8—28no—
866C22⋊Q8—24no—
867C22⋊Q8—44no—
868C22⋊Q8—48no—
869C22⋊Q8—44no—
870C22⋊Q8—42no—
871C22⋊Q8—44no—
872C22⋊Q8—44no—
873C22⋊Q8—42no—
874C22⋊Q8—42no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879#121—42no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—24no—
883C4×Q8—48no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—44no—
887C4×Q8—42no—
888C4×Q8—44no—
889C4×Q8—44no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—44no—
893C4×Q8—44no—
894C4×Q8—44no—
895C4×Q8—44no—
896C4×D4—24no—
897C4×D4—42no—
898C4×D4—42no—
899C4×D4—42no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—42no—
903C4×D4—44no—
904#117—24no—
905#117—44no—
906#117—44no—
907#117—44no—
908#117—44no—
909#117—42no—
910#117—42no—
911#117—44no—
912#117—44no—
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C42—24no—
1037C2×C42—24no—
1038C2×C42—44no—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2412yes—
1043C2×C42C2412yes—
1044C2×C42C2412yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2411yescharacteristic
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2414yes—
1065C2×C42C2414yes—
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074#95C2412yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2411yescharacteristic
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2411yescharacteristic
1087#95C2411yescharacteristic
1088#95C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24C2512yes—
1159C24C2511yescharacteristic
1160C24C2511yescharacteristic
1161#41—416no—
1162C2×Q8—22no—
1163C2×Q8—22no—
1164C2×Q8—22no—
1165C2×Q8—24no—
1166C2×Q8—24no—
1167C2×Q8—24no—
1168C2×Q8—22no—
1169C2×Q8—24no—
1170C2×Q8—22no—
1171C2×Q8—24no—
1172C2×Q8—22no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—44no—
1178C2×Q8—42no—
1179C2×Q8—44no—
1180C2×Q8—44no—
1181C2×Q8—42no—
1182C2×Q8—44no—
1183C2×Q8—44no—
1184C2×Q8—44no—
1185C2×Q82−1+414yes—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—42no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—42no—
1195C2×D4—42no—
1196C2×D4—42no—
1197C2×D4—42no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—22no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—22no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—42no—
1219C22×C4—41no—
1220C22×C4—42no—
1221C22×C4—42no—
1222C22×C4—41no—
1223C22×C4—42no—
1224C22×C4—41no—
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2512yes—
1231C22×C4C2512yes—
1232C22×C4C2512yes—
1233C22×C4C2512yes—
1234C22×C4C2512yes—
1235C22×C4C2512yes—
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2512yes—
1239C22×C4C2512yes—
1240C22×C4C2514yes—
1241C22×C4C2514yes—
1242C22×C4C2514yes—
1243C22×C4C2512yes—
1244C22×C4C2514yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2511yescharacteristic
1247C22×C4C2512yes—
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2511yescharacteristic
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C4⋊C4—22no—
1258C4⋊C4—24no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—24no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—24no—
1269C4⋊C4—24no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—24no—
1273C4⋊C4—24no—
1274C4⋊C4—28no—
1275C4⋊C4—24no—
1276C4⋊C4—24no—
1277C4⋊C4—22no—
1278C4⋊C4—28no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—28no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—28no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
1303C4⋊C4—42no—
1304C4⋊C4—42no—
1305C4⋊C4—42no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—42no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—44no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—44no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C42−1+414yes—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—24no—
1344C22⋊C4—22no—
1345C22⋊C4—42no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—44no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—42no—
1353C22⋊C4—42no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—42no—
1357C22⋊C4—42no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—42no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—42no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—44no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C42—22no—
1381C42—22no—
1382C42—22no—
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—24no—
1387C42—24no—
1388C42—24no—
1389C42—24no—
1390C42—22no—
1391C42—24no—
1392C42—22no—
1393C42—22no—
1394C42—24no—
1395C42—24no—
1396C42—24no—
1397C42—22no—
1398C42—24no—
1399C42—42no—
1400C42—42no—
1401C42—42no—
1402C42—41no—
1403C42—42no—
1404C42—44no—
1405C42—44no—
1406C42—41no—
1407C42—44no—
1408C42—44no—
1409C42—44no—
1410C42—44no—
1411C42—44no—
1412C42—44no—
1413C42—44no—
1414C42H(5,𝔽2)14yes—
1415C23—22no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—22no—
1421C23—21no—
1422C23—22no—
1423C23—21no—
1424C23—21no—
1425C23—22no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—22no—
1431C23—22no—
1432C23—21no—
1433C23—21no—
1434C23—22no—
1435C23—21no—
1436C23C2611yescharacteristic
1437Q8—28no—
1438Q8—44no—
1439Q8—48no—
1440Q8—44no—
1441Q8—48no—
1442Q8—84no—
1443Q8—88no—
1444Q8—164no—
1445D4—48no—
1446D4—44no—
1447D4—44no—
1448D4—84no—
1449C2×C4—21no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—24no—
1469C2×C4—24no—
1470C2×C4—24no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—22no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—24no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—44no—
1536C2×C4—48no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—44no—
1541C2×C4—48no—
1542C2×C4—84no—
1543C2×C4—82no—
1544C2×C4C2×H(5,𝔽2)12yes—
1545C2×C4C2×H(5,𝔽2)12yes—
1546C2×C4C2×H(5,𝔽2)12yes—
1547C2×C4C2×2−1+414yes—
1548C2×C4C2×2−1+414yes—
1549C2×C4C2×2−1+412yes—
1550C2×C4C2×2−1+412yes—
1551C2×C4#58512yes—
1552C2×C4#58512yes—
1553C2×C4#58512yes—
1554C22—42no—
1555C22—41no—
1556C22—41no—
1557C22—42no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—42no—
1563C22—41no—
1564C22—41no—
1565C22—42no—
1566C22—41no—
1567C22—41no—
1568C22—42no—
1569C22—41no—
1570C22—42no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—42no—
1575C22C22×H(5,𝔽2)11yescharacteristic
1576C22C22×2−1+411yescharacteristic
1577C22C22×2−1+411yescharacteristic
1578C22C2×#58511yescharacteristic
1579C22C2×#58511yescharacteristic
1580C22C2×#58511yescharacteristic
1581C222−1+611yescharacteristic
1582C4—24no—
1583C4—24no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—42no—
1589C4—44no—
1590C4—41no—
1591C4—41no—
1592C4—42no—
1593C4—42no—
1594C4—44no—
1595C4—42no—
1596C4—41no—
1597C4—44no—
1598C4—42no—
1599C4—42no—
1600C4—41no—
1601C4—42no—
1602C4—41no—
1603C4—41no—
1604C4—42no—
1605C4—42no—
1606C4—42no—
1607C4—41no—
1608C4—42no—
1609C4—42no—
1610C4—44no—
1611C4—42no—
1612C4#354114yes—
1613C4#355414yes—
1614C2—81no—
1615C2—82no—
1616C2—81no—
1617C2C2×#354111yescharacteristic
1618C2C2×#355411yescharacteristic
1619C2#6276211yescharacteristic
1620C2#6295311yescharacteristic
1621C2#6295311yescharacteristic
1622C2#6295411yescharacteristic
1623C2#6303211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2407C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59681C2semidirect
2. #59593C2semidirect
3. #59456C2semidirect
4. #59081C2semidirect
5. #59071C2semidirect
6. #56689C2semidirect
7. #55947C2semidirect
8. #53092C2semidirect
9. #53070C2semidirect
10. #53054C2semidirect
11. #53050C2semidirect
12. #52535C2semidirect
14. #42857C2semidirect
15. #42714C2semidirect
16. #42707C2semidirect
17. #40707C2semidirect
18. #39787C2semidirect
19. #39691C2semidirect
20. #39619C2semidirect
21. #39609C2semidirect
22. #39283C2semidirect
23. #39219C2semidirect
24. #39203C2semidirect
25. #39139C2semidirect
26. #37633C2semidirect
27. #37631C2semidirect
28. #37593C2semidirect
29. #37522C2semidirect
30. #36480C2semidirect
31. #36456C2semidirect
32. #36151C2semidirect
33. #34979C2semidirect
34. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#596812
#595932
#594562
#590812
#590712
#566892
#559472
#530922
#530702
#530542
#530502
#525352
#428602
#428572
#427142
#427072
#407072
#397872
#396912
#396192
#396092
#392832
#392192
#392032
#391392
#376332
#376312
#375932
#375222
#364802
#364562
#361512
#349792
#347932
#347242