Finite Group Databasebeta

← #8429547

Subgroups — #8429547

Order 512.

4445 conjugacy classes of subgroups.

The subgroup lattice has 1655 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59586C212yesmaximal, complemented
2#59458C211yesmaximal, characteristic, complemented
3#59442C212yesmaximal, complemented
4#59258C211yesmaximal, characteristic, complemented
5#59234C211yesmaximal, characteristic, complemented
6#56958C214yesmaximal, complemented
7#55936C214yesmaximal, complemented
8#53084C212yesmaximal, complemented
9#53079C212yesmaximal, complemented
10#53071C212yesmaximal, complemented
11#53061C212yesmaximal, complemented
12#52561C214yesmaximal, complemented
13#42682C212yesmaximal, complemented
14#42674C212yesmaximal, complemented
15#42630C212yesmaximal, complemented
16#42624C212yesmaximal, complemented
17#40861C214yesmaximal, complemented
18#39781C212yesmaximal, complemented
19#39754C211yesmaximal, characteristic, complemented
20#39735C211yesmaximal, characteristic, complemented
21#39292C212yesmaximal, complemented
22#39217C212yesmaximal, complemented
23#39083C212yesmaximal, complemented
24#38967C211yesmaximal, characteristic, complemented
25#38941C211yesmaximal, characteristic, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37624C211yesmaximal, characteristic, complemented
28#37593C212yesmaximal, complemented
29#37591C212yesmaximal, complemented
30#36472C211yesmaximal, characteristic, complemented
31#36460C211yesmaximal, characteristic, complemented
32#36211C211yesmaximal, characteristic, complemented
33#34978C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34793C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×#553C2212yes—
38C2×#552C2212yes—
39#2860C2212yes—
40#2860C2212yes—
41#2859C2211yescharacteristic
42#2856C2211yescharacteristic
43#2856C2211yescharacteristic
44#2841C2214yes—
45#2832C2214yes—
46#2832C2214yes—
47#2831C2214yes—
48#2830C2214yes—
49#2830C2214yes—
50#2829C2214yes—
51#2829C2214yes—
52#2829C2214yes—
53#2826C2214yes—
54#2824C2214yes—
55#2819C2214yes—
56#2814C2214yes—
57#2813C2214yes—
58#2802C2214yes—
59#2801C2214yes—
60#2798C2214yes—
61#2788C2214yes—
62#2786C2214yes—
63#2781C2214yes—
64#2775C2214yes—
65#2774C2214yes—
66#2770C2214yes—
67#2759C2214yes—
68#2757C2214yes—
69#2754C2214yes—
70#2753C2214yes—
71#2751C2214yes—
72#2751C2214yes—
73#2742C2214yes—
74#2741C2214yes—
75#2739C2214yes—
76#2738C2214yes—
77#2737C2214yes—
78#2730C2214yes—
79#2727C2214yes—
80#2725C2214yes—
81#2710C2214yes—
82#2707C2214yes—
83#2705C2214yes—
84#2703C2214yes—
85#2700C2214yes—
86#2696C2214yes—
87#2695C2214yes—
88#2692C2214yes—
89#2690C2214yes—
90#2689C2214yes—
91#2689C2214yes—
92#2686C2214yes—
93#2672C2214yes—
94#2672C2214yes—
95#2666C2214yes—
96#2663C2214yes—
97#2662C2214yes—
98#2660C2212yes—
99#2660C2212yes—
100#2652C2214yes—
101#2651C2214yes—
102#2650C2214yes—
103#2647C2212yes—
104#2644C2212yes—
105#2641C2212yes—
106#2640C2212yes—
107#2638C2214yes—
108#2630C2214yes—
109#2630C2214yes—
110#2629C2212yes—
111#2628C2212yes—
112#2628C2212yes—
113#2624C2212yes—
114#2624C2214yes—
115#2623C2214yes—
116#2620C2212yes—
117#2619C2212yes—
118#2612C2214yes—
119#2603C2214yes—
120#2596C2214yes—
121#2584C2212yes—
122#2581C2212yes—
123#2580C2212yes—
124#2571C2212yes—
125#2571C2211yescharacteristic
126#2571C2211yescharacteristic
127#2570C2212yes—
128#2570C2212yes—
129#2563C2212yes—
130#2563C2212yes—
131#2562C2214yes—
132#2560C2214yes—
133#2559C2214yes—
134#2552C2211yescharacteristic
135#2552C2211yescharacteristic
136#2552C2211yescharacteristic
137#2551C2211yescharacteristic
138#2551C2211yescharacteristic
139#2550C2212yes—
140#2550C2212yes—
141#2548C2211yescharacteristic
142#2547C2212yes—
143#2542C2212yes—
144#2541C2211yescharacteristic
145#2538C2211yescharacteristic
146#2535C2212yes—
147#2535C2212yes—
148#2532C2212yes—
149#2530C2212yes—
150#2528C2212yes—
151#2526C2214yes—
152#2526C2212yes—
153#2519C2214yes—
154#2518C2212yes—
155#2517C2212yes—
156#2513C2212yes—
157#2513C2212yes—
158#2513C2211yescharacteristic
159#2513C2212yes—
160#2513C2212yes—
161#2513C2212yes—
162#2512C2212yes—
163#2511C2211yescharacteristic
164#2509C2212yes—
165#2508C2211yescharacteristic
166#2508C2212yes—
167#2506C2212yes—
168#2506C2211yescharacteristic
169#2500C2212yes—
170#2500C2212yes—
171#2500C2211yescharacteristic
172#2499C2211yescharacteristic
173#2497C2211yescharacteristic
174#2496C2212yes—
175#2495C2212yes—
176#2494C2211yescharacteristic
177#2492C2212yes—
178#2491C2212yes—
179#2491C2212yes—
180#2491C2212yes—
181#2491C2211yescharacteristic
182#2490C2212yes—
183#2490C2212yes—
184#2490C2212yes—
185#2489C2214yes—
186#2489C2211yescharacteristic
187#2486C2214yes—
188#2485C2214yes—
189#2485C2211yescharacteristic
190#2485C2212yes—
191#2485C2211yescharacteristic
192#2481C2214yes—
193#2477C2214yes—
194#2475C2214yes—
195#2474C2214yes—
196#2468C2214yes—
197#2465C2214yes—
198#2464C2214yes—
199#2461C2214yes—
200#2460C2212yes—
201#2459C2212yes—
202#2458C2214yes—
203#2458C2214yes—
204#2454C2212yes—
205#2454C2212yes—
206#2454C2212yes—
207#2453C2212yes—
208#2452C2212yes—
209#2452C2212yes—
210#2452C2212yes—
211#2449C2214yes—
212#2448C2214yes—
213#2445C2212yes—
214#2445C2212yes—
215#2442C2212yes—
216#2442C2212yes—
217#2441C2212yes—
218#2441C2212yes—
219#2441C2212yes—
220#2441C2211yescharacteristic
221#2439C2212yes—
222#2439C2212yes—
223#2439C2212yes—
224#2439C2212yes—
225#2439C2211yescharacteristic
226#2428C2212yes—
227#2427C2212yes—
228#2427C2212yes—
229#2426C2212yes—
230#2422C2212yes—
231#2422C2212yes—
232#2422C2212yes—
233#2422C2212yes—
234#2421C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2420C2212yes—
239#2415C2212yes—
240#2415C2211yescharacteristic
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2414C2211yescharacteristic
245#2414C2212yes—
246#2401C2212yes—
247#2398C2212yes—
248#2396C2214yes—
249#2395C2212yes—
250#2392C2212yes—
251#2369C2212yes—
252#2366C2211yescharacteristic
253#2366C2211yescharacteristic
254#2363C2212yes—
255#2363C2212yes—
256#2363C2212yes—
257#2361C2212yes—
258#2357C2212yes—
259#2357C2212yes—
260#2355C2211yescharacteristic
261#2354C2212yes—
262#2354C2211yescharacteristic
263#2352C2214yes—
264Q8×C4⋊C4C2211yescharacteristic
265D4×C4⋊C4C2212yes—
266D4×C4⋊C4C2211yescharacteristic
267#2347C2212yes—
268#2334C2214yes—
269#2330C2212yes—
270#2324C2212yes—
271#2319C2212yes—
272#2316C2212yes—
273C4×C4⋊Q8C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×#127C2212yes—
277C4×#127C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×#125C2211yescharacteristic
281C4×#125C2212yes—
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288#2298C2212yes—
289#2298C2212yes—
290#2295C2211yescharacteristic
291#2293C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299#554—48no—
300#553—48no—
301#552—48no—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#127C2311yescharacteristic
308C2×#127C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2314yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2314yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2312yes—
365C2×#117C2311yescharacteristic
366C2×#117C2312yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C2×#117C2314yes—
370C2×#117C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2314yes—
377C22×C42C2311yescharacteristic
378C22×C42C2311yescharacteristic
379#401C2312yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#399C2314yes—
399#399C2314yes—
400#399C2314yes—
401#399C2314yes—
402#399C2314yes—
403#399C2312yes—
404#399C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2312yes—
417#398C2312yes—
418#398C2314yes—
419#397C2314yes—
420#397C2312yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2312yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#396C2312yes—
459#396C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2314yes—
464#395C2314yes—
465#395C2314yes—
466#395C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2312yes—
482#394C2312yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2312yes—
493#394C2314yes—
494#394C2312yes—
495#393C2314yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2312yes—
506#393C2314yes—
507#392C2312yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#391C2314yes—
514#391C2314yes—
515#391C2314yes—
516#391C2312yes—
517#391C2314yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2311yescharacteristic
521#391C2314yes—
522#391C2311yescharacteristic
523#391C2314yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#390C2314yes—
527#390C2311yescharacteristic
528#390C2312yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2314yes—
534#390C2311yescharacteristic
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2314yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2311yescharacteristic
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2311yescharacteristic
555#390C2312yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2312yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2312yes—
570#389C2314yes—
571#389C2314yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2314yes—
579#389C2312yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2314yes—
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2312yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2312yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#384C2312yes—
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2312yes—
705#384C2311yescharacteristic
706#384C2311yescharacteristic
707#384C2312yes—
708#384C2311yescharacteristic
709#384C2311yescharacteristic
710#383C2314yes—
711#383C2312yes—
712#382C2312yes—
713#382C2312yes—
714#382C2311yescharacteristic
715#382C2312yes—
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2312yes—
719#382C2312yes—
720#382C2314yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2311yescharacteristic
727#381C2314yes—
728#381C2312yes—
729#381C2314yes—
730#381C2314yes—
731#380C2314yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2311yescharacteristic
752#380C2311yescharacteristic
753#380C2312yes—
754#380C2311yescharacteristic
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806#376C2312yes—
807#376C2312yes—
808#376C2312yes—
809#376C2312yes—
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2414yes—
816C22×Q8C2414yes—
817C22×D4C2412yes—
818C22×D4C2411yescharacteristic
819C22×D4C2412yes—
820C22×D4C2412yes—
821C22×D4C2411yescharacteristic
822C22×D4C2412yes—
823C22×D4C2414yes—
824C22×D4C2412yes—
825C22×D4C2414yes—
826C22×D4C2414yes—
827C22×D4C2414yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2414yes—
835C23×C4C2414yes—
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2414yes—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—44no—
842C4⋊Q8—42no—
843C4⋊Q8—44no—
844#127—24no—
845#127—44no—
846#126—48no—
847#126—48no—
848#126—48no—
849#125—28no—
850#125—24no—
851#125—44no—
852#125—44no—
853#125—44no—
854#125—44no—
855#125—48no—
856#124—44no—
857#124—44no—
858#124—84no—
859#124—84no—
860#123—48no—
861#123—48no—
862#123—84no—
863#123—84no—
864C22⋊Q8—24no—
865C22⋊Q8—48no—
866C22⋊Q8—48no—
867C22⋊Q8—48no—
868C22⋊Q8—42no—
869C22⋊Q8—44no—
870C22⋊Q8—84no—
871#121—44no—
872#121—48no—
873#121—44no—
874#121—44no—
875#121—42no—
876#121—44no—
877#121—44no—
878#121—42no—
879#121—44no—
880#121—44no—
881#121—82no—
882C4×Q8—24no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—84no—
886C4×D4—28no—
887C4×D4—24no—
888C4×D4—48no—
889C4×D4—44no—
890C4×D4—44no—
891C4×D4—44no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—42no—
896C4×D4—42no—
897C4×D4—44no—
898C4×D4—48no—
899C4×D4—44no—
900C4×D4—42no—
901C4×D4—82no—
902#117—24no—
903#117—44no—
904#117—44no—
905#117—44no—
906#117—42no—
907#117—42no—
908#117—42no—
909#117—44no—
910#117—48no—
911#117—82no—
912C2×C4⋊C4—28no—
913C2×C4⋊C4—48no—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2414yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2411yescharacteristic
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2411yescharacteristic
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C42—24no—
1045C2×C42—24no—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2414yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2411yescharacteristic
1096#95C2412yes—
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2411yescharacteristic
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153C24C2511yescharacteristic
1154C24C2511yescharacteristic
1155C24C2514yes—
1156C24C2512yes—
1157C2×Q8—22no—
1158C2×Q8—22no—
1159C2×Q8—22no—
1160C2×Q8—42no—
1161C2×Q8—44no—
1162C2×Q8—42no—
1163C2×Q8—44no—
1164C2×Q8—44no—
1165C2×Q8—42no—
1166C2×Q8—44no—
1167C2×Q8—44no—
1168C2×Q8—44no—
1169C2×D4—24no—
1170C2×D4—22no—
1171C2×D4—24no—
1172C2×D4—24no—
1173C2×D4—24no—
1174C2×D4—22no—
1175C2×D4—24no—
1176C2×D4—24no—
1177C2×D4—24no—
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—42no—
1183C2×D4—44no—
1184C2×D4—42no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—42no—
1188C2×D4—44no—
1189C2×D4—42no—
1190C2×D4—42no—
1191C2×D4—44no—
1192C2×D4—42no—
1193C2×D4—42no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C22×C4—24no—
1203C22×C4—22no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—22no—
1208C22×C4—22no—
1209C22×C4—22no—
1210C22×C4—24no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—28no—
1220C22×C4—28no—
1221C22×C4—22no—
1222C22×C4—41no—
1223C22×C4—44no—
1224C22×C4—44no—
1225C22×C4—44no—
1226C22×C4—44no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—44no—
1230C22×C4—44no—
1231C22×C4—44no—
1232C22×C4—44no—
1233C22×C4—44no—
1234C22×C4—44no—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2512yes—
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2512yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2512yes—
1245C22×C4C2511yescharacteristic
1246C22×C4C2514yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2512yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2512yes—
1253C22×C4C2511yescharacteristic
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2514yes—
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2512yes—
1260C22×C4C2514yes—
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C4⋊C4—24no—
1267C4⋊C4—28no—
1268C4⋊C4—24no—
1269C4⋊C4—28no—
1270C4⋊C4—22no—
1271C4⋊C4—24no—
1272C4⋊C4—24no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—28no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—22no—
1280C4⋊C4—22no—
1281C4⋊C4—22no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—22no—
1293C4⋊C4—24no—
1294C4⋊C4—42no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—42no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—44no—
1311C4⋊C4—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—44no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4H(5,𝔽2)14yes—
1337C22⋊C4—24no—
1338C22⋊C4—28no—
1339C22⋊C4—24no—
1340C22⋊C4—24no—
1341C22⋊C4—24no—
1342C22⋊C4—28no—
1343C22⋊C4—22no—
1344C22⋊C4—42no—
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—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—44no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C42—24no—
1397C42—24no—
1398C42—24no—
1399C42—22no—
1400C42—22no—
1401C42—22no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—22no—
1408C42—24no—
1409C42—24no—
1410C42—24no—
1411C42—22no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—42no—
1417C42—44no—
1418C42—42no—
1419C42—42no—
1420C42—44no—
1421C42—44no—
1422C42—44no—
1423C42—41no—
1424C42—41no—
1425C42—42no—
1426C42—42no—
1427C42—44no—
1428C422−1+414yes—
1429C23—21no—
1430C23—21no—
1431C23—24no—
1432C23—22no—
1433C23—22no—
1434C23—21no—
1435C23—21no—
1436C23—24no—
1437C23—21no—
1438C23—24no—
1439C23—22no—
1440C23—21no—
1441C23—21no—
1442C23—22no—
1443C23—24no—
1444C23—21no—
1445C23—22no—
1446C23—24no—
1447C23—21no—
1448C23—24no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—21no—
1453C23—21no—
1454C23—22no—
1455C23—24no—
1456C23—21no—
1457C23C2611yescharacteristic
1458Q8—44no—
1459Q8—84no—
1460Q8—88no—
1461Q8—164no—
1462D4—44no—
1463D4—48no—
1464D4—44no—
1465D4—48no—
1466D4—84no—
1467D4—88no—
1468D4—84no—
1469D4—88no—
1470D4—84no—
1471D4—164no—
1472D4—164no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—21no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—24no—
1490C2×C4—24no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—44no—
1558C2×C4—48no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—88no—
1564C2×C4—88no—
1565C2×C4—82no—
1566C2×C4—164no—
1567C2×C4—164no—
1568C2×C4C2×H(5,𝔽2)14yes—
1569C2×C4C2×H(5,𝔽2)12yes—
1570C2×C4C2×2−1+412yes—
1571C2×C4C2×2−1+412yes—
1572C2×C4C2×2−1+412yes—
1573C2×C4#58512yes—
1574C2×C4#58512yes—
1575C2×C4#58512yes—
1576C2×C4#58512yes—
1577C22—41no—
1578C22—41no—
1579C22—42no—
1580C22—44no—
1581C22—41no—
1582C22—41no—
1583C22—42no—
1584C22—44no—
1585C22—41no—
1586C22—41no—
1587C22—42no—
1588C22—44no—
1589C22—42no—
1590C22—44no—
1591C22—41no—
1592C22—41no—
1593C22—44no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—44no—
1600C22—42no—
1601C22—41no—
1602C22—44no—
1603C22—41no—
1604C22—42no—
1605C22C22×H(5,𝔽2)11yescharacteristic
1606C22C22×2−1+411yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22C2×#58511yescharacteristic
1611C22H(7,𝔽2)11yescharacteristic
1612C4—24no—
1613C4—22no—
1614C4—22no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—42no—
1620C4—42no—
1621C4—42no—
1622C4—42no—
1623C4—41no—
1624C4—42no—
1625C4—42no—
1626C4—44no—
1627C4—42no—
1628C4—41no—
1629C4—42no—
1630C4—41no—
1631C4—42no—
1632C4—44no—
1633C4—42no—
1634C4—42no—
1635C4—42no—
1636C4—41no—
1637C4—41no—
1638C4—44no—
1639C4—42no—
1640C4—42no—
1641C4#354714yes—
1642C4#356514yes—
1643C2—81no—
1644C2—81no—
1645C2—82no—
1646C2—84no—
1647C2C2×#356511yescharacteristic
1648C2C2×#354711yescharacteristic
1649C2#6276211yescharacteristic
1650C2#6292311yescharacteristic
1651C2#6295811yescharacteristic
1652C2#6296911yescharacteristic
1653C2#6302111yescharacteristic
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. #59586C2semidirect
2. #59458C2semidirect
3. #59442C2semidirect
4. #59258C2semidirect
5. #59234C2semidirect
6. #56958C2semidirect
7. #55936C2semidirect
8. #53084C2semidirect
9. #53079C2semidirect
10. #53071C2semidirect
11. #53061C2semidirect
12. #52561C2semidirect
13. #42682C2semidirect
14. #42674C2semidirect
15. #42630C2semidirect
16. #42624C2semidirect
17. #40861C2semidirect
18. #39781C2semidirect
19. #39754C2semidirect
20. #39735C2semidirect
21. #39292C2semidirect
22. #39217C2semidirect
23. #39083C2semidirect
24. #38967C2semidirect
25. #38941C2semidirect
26. #37625C2semidirect
27. #37624C2semidirect
28. #37593C2semidirect
29. #37591C2semidirect
30. #36472C2semidirect
31. #36460C2semidirect
32. #36211C2semidirect
33. #34978C2semidirect
34. #34800C2semidirect
35. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#595862
#594582
#594422
#592582
#592342
#569582
#559362
#530842
#530792
#530712
#530612
#525612
#426822
#426742
#426302
#426242
#408612
#397812
#397542
#397352
#392922
#392172
#390832
#389672
#389412
#376252
#376242
#375932
#375912
#364722
#364602
#362112
#349782
#348002
#347932