Finite Group Databasebeta

← #8467090

Subgroups — #8467090

Order 512.

4491 conjugacy classes of subgroups.

The subgroup lattice has 1654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59659C211yesmaximal, characteristic, complemented
2#59413C211yesmaximal, characteristic, complemented
3#59411C211yesmaximal, characteristic, complemented
4#55377C214yesmaximal, complemented
5#53835C214yesmaximal, complemented
6#53652C214yesmaximal, complemented
7#53108C212yesmaximal, complemented
8#53084C212yesmaximal, complemented
9#49057C214yesmaximal, complemented
10#46048C212yesmaximal, complemented
11#45516C212yesmaximal, complemented
12#45209C212yesmaximal, complemented
13#45173C212yesmaximal, complemented
14#42940C212yesmaximal, complemented
15#42903C212yesmaximal, complemented
16#42872C212yesmaximal, complemented
17#42729C212yesmaximal, complemented
18#40072C212yesmaximal, complemented
19#39984C212yesmaximal, complemented
20#39619C211yesmaximal, characteristic, complemented
21#39171C211yesmaximal, characteristic, complemented
22#39168C211yesmaximal, characteristic, complemented
23#39071C212yesmaximal, complemented
24#38958C211yesmaximal, characteristic, complemented
25#38063C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37329C212yesmaximal, complemented
28#37292C212yesmaximal, complemented
29#36609C211yesmaximal, characteristic, complemented
30#36583C211yesmaximal, characteristic, complemented
31#36412C211yesmaximal, characteristic
32#35208C211yesmaximal, characteristic, complemented
33#35206C211yesmaximal, characteristic, complemented
34#34945C211yesmaximal, characteristic, complemented
35#34902C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#557C2211yescharacteristic
39C2×#555C2211yescharacteristic
40C2×#550C2211yescharacteristic
41C2×D4×Q8C2211yescharacteristic
42#2863C2212yes—
43#2862C2211yescharacteristic
44#2859C2212yes—
45#2858C2211yescharacteristic
46#2858C2211yescharacteristic
47#2858C2212yes—
48#2856C2212yes—
49#2855C2212yes—
50#2851C2212yes—
51#2837C2214yes—
52#2832C2214yes—
53#2831C2214yes—
54#2830C2214yes—
55#2829C2214yes—
56#2829C2214yes—
57#2816C2214yes—
58#2814C2214yes—
59#2804C2214yes—
60#2803C2214yes—
61#2800C2214yes—
62#2797C2214yes—
63#2786C2214yes—
64#2784C2214yes—
65#2781C2214yes—
66#2780C2214yes—
67#2770C2214yes—
68#2761C2214yes—
69#2761C2214yes—
70#2759C2214yes—
71#2757C2214yes—
72#2754C2214yes—
73#2753C2214yes—
74#2751C2214yes—
75#2751C2214yes—
76#2750C2214yes—
77#2749C2214yes—
78#2743C2214yes—
79#2740C2214yes—
80#2740C2214yes—
81#2738C2214yes—
82#2737C2214yes—
83#2737C2214yes—
84#2737C2214yes—
85#2731C2214yes—
86#2730C2214yes—
87#2723C2214yes—
88#2713C2214yes—
89#2713C2214yes—
90#2711C2214yes—
91#2708C2214yes—
92#2707C2214yes—
93#2704C2214yes—
94#2701C2214yes—
95#2701C2214yes—
96#2700C2214yes—
97#2700C2214yes—
98#2696C2214yes—
99#2696C2214yes—
100#2694C2214yes—
101#2692C2214yes—
102#2691C2214yes—
103#2690C2214yes—
104#2686C2214yes—
105#2674C2214yes—
106#2674C2214yes—
107#2672C2214yes—
108#2666C2214yes—
109#2665C2214yes—
110#2660C2212yes—
111#2653C2214yes—
112#2652C2214yes—
113#2650C2214yes—
114#2649C2214yes—
115#2648C2214yes—
116#2644C2212yes—
117#2641C2212yes—
118#2640C2212yes—
119#2640C2212yes—
120#2630C2214yes—
121#2624C2212yes—
122#2620C2212yes—
123#2620C2212yes—
124#2607C2214yes—
125#2596C2212yes—
126#2594C2212yes—
127#2592C2212yes—
128#2592C2212yes—
129#2592C2211yescharacteristic
130#2582C2211yescharacteristic
131#2581C2211yescharacteristic
132#2580C2212yes—
133#2577C2214yes—
134#2576C2214yes—
135#2574C2214yes—
136#2573C2212yes—
137#2573C2212yes—
138#2572C2214yes—
139#2571C2211yescharacteristic
140#2570C2211yescharacteristic
141#2569C2214yes—
142#2568C2211yescharacteristic
143#2568C2212yes—
144#2568C2211yescharacteristic
145#2567C2211yescharacteristic
146#2567C2211yescharacteristic
147#2565C2212yes—
148#2563C2212yes—
149#2557C2214yes—
150#2556C2214yes—
151#2555C2214yes—
152#2555C2214yes—
153#2552C2211yescharacteristic
154#2550C2212yes—
155#2548C2211yescharacteristic
156#2548C2212yes—
157#2547C2211yescharacteristic
158#2547C2212yes—
159#2547C2211yescharacteristic
160#2545C2212yes—
161#2545C2214yes—
162#2545C2211yescharacteristic
163#2544C2212yes—
164#2544C2212yes—
165#2542C2212yes—
166#2541C2211yescharacteristic
167#2538C2211yescharacteristic
168#2538C2211yescharacteristic
169#2538C2211yescharacteristic
170#2525C2212yes—
171#2523C2214yes—
172#2517C2214yes—
173#2515C2214yes—
174#2514C2211yescharacteristic
175#2514C2211yescharacteristic
176#2514C2211yescharacteristic
177#2513C2212yes—
178#2513C2212yes—
179#2512C2211yescharacteristic
180#2511C2212yes—
181#2511C2212yes—
182#2510C2214yes—
183#2507C2212yes—
184#2506C2212yes—
185#2500C2212yes—
186#2499C2212yes—
187#2495C2212yes—
188#2494C2214yes—
189#2494C2212yes—
190#2491C2212yes—
191#2491C2212yes—
192#2490C2214yes—
193#2490C2212yes—
194#2490C2214yes—
195#2490C2212yes—
196#2489C2212yes—
197#2488C2214yes—
198#2469C2212yes—
199#2462C2214yes—
200#2454C2212yes—
201#2454C2212yes—
202#2453C2212yes—
203#2452C2212yes—
204#2452C2212yes—
205#2451C2212yes—
206#2451C2212yes—
207#2451C2212yes—
208#2448C2212yes—
209#2448C2212yes—
210#2448C2212yes—
211#2448C2212yes—
212#2448C2211yescharacteristic
213#2447C2212yes—
214#2447C2212yes—
215#2447C2212yes—
216#2447C2212yes—
217#2447C2211yescharacteristic
218#2447C2211yescharacteristic
219#2446C2211yescharacteristic
220#2446C2212yes—
221#2446C2212yes—
222#2445C2212yes—
223#2445C2212yes—
224#2439C2212yes—
225#2439C2212yes—
226#2439C2212yes—
227#2439C2212yes—
228#2436C2212yes—
229#2436C2212yes—
230#2436C2212yes—
231#2434C2212yes—
232#2432C2212yes—
233#2431C2212yes—
234#2429C2212yes—
235#2428C2212yes—
236#2428C2212yes—
237#2427C2212yes—
238#2427C2212yes—
239#2427C2212yes—
240#2427C2212yes—
241#2426C2212yes—
242#2426C2212yes—
243#2425C2214yes—
244#2423C2212yes—
245#2422C2212yes—
246#2422C2212yes—
247#2421C2212yes—
248#2420C2212yes—
249#2420C2212yes—
250#2401C2212yes—
251#2401C2212yes—
252#2401C2212yes—
253#2396C2212yes—
254#2377C2214yes—
255#2367C2212yes—
256#2367C2212yes—
257#2367C2212yes—
258#2363C2212yes—
259#2363C2212yes—
260#2362C2212yes—
261#2362C2212yes—
262#2357C2212yes—
263#2349C2212yes—
264#2341C2212yes—
265#2341C2212yes—
266Q8×C22⋊C4C2212yes—
267#2339C2212yes—
268#2330C2212yes—
269#2329C2214yes—
270#2328C2212yes—
271#2327C2212yes—
272#2326C2212yes—
273#2326C2212yes—
274#2320C2212yes—
275#2320C2212yes—
276#2310C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#126C2212yes—
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×#124C2212yes—
288C4×C22⋊Q8C2212yes—
289#2298C2212yes—
290#2297C2212yes—
291#2295C2211yescharacteristic
292#2295C2211yescharacteristic
293#2295C2211yescharacteristic
294#2293C2211yescharacteristic
295#2283C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#559—44no—
302Q82—44no—
303#557—44no—
304#555—44no—
305#550—44no—
306D4×Q8—44no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2314yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#126C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2314yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2311yescharacteristic
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C22×C42C2312yes—
386#401C2312yes—
387#401C2312yes—
388#401C2312yes—
389#400C2314yes—
390#400C2312yes—
391#400C2312yes—
392#400C2314yes—
393#400C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2312yes—
398#400C2312yes—
399#400C2314yes—
400#400C2314yes—
401#400C2312yes—
402#400C2312yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2312yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2312yes—
418#398C2314yes—
419#398C2312yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#397C2312yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2312yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2312yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#396C2312yes—
454#396C2312yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#395C2314yes—
470#395C2314yes—
471#395C2314yes—
472#395C2314yes—
473#395C2314yes—
474#395C2312yes—
475#395C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2312yes—
526#391C2314yes—
527#391C2312yes—
528#391C2312yes—
529#391C2314yes—
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2311yescharacteristic
534#391C2312yes—
535#391C2314yes—
536#391C2311yescharacteristic
537#391C2312yes—
538#391C2314yes—
539#391C2311yescharacteristic
540#391C2312yes—
541#391C2314yes—
542#391C2312yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2311yescharacteristic
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2314yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2314yes—
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2314yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#384C2311yescharacteristic
718#384C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2312yes—
722#384C2312yes—
723#383C2312yes—
724#383C2314yes—
725#383C2314yes—
726#383C2312yes—
727#383C2312yes—
728#382C2311yescharacteristic
729#382C2312yes—
730#382C2312yes—
731#382C2312yes—
732#382C2311yescharacteristic
733#382C2311yescharacteristic
734#382C2312yes—
735#382C2311yescharacteristic
736#382C2314yes—
737#382C2314yes—
738#382C2312yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2314yes—
743#381C2312yes—
744#381C2312yes—
745#381C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2314yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2314yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—28no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2414yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C4⋊Q8—24no—
850C4⋊Q8—24no—
851C4⋊Q8—24no—
852C4⋊Q8—44no—
853C4⋊Q8—44no—
854C4⋊Q8—44no—
855C4⋊Q8—42no—
856C4⋊Q8—44no—
857C4⋊Q8—48no—
858#127—24no—
859#127—44no—
860#127—44no—
861#126—44no—
862#125—44no—
863#125—44no—
864#125—48no—
865#125—84no—
866#124—24no—
867#124—44no—
868#124—44no—
869#124—44no—
870#124—42no—
871#124—42no—
872#124—44no—
873#124—44no—
874#124—42no—
875#124—44no—
876#124—44no—
877#124—48no—
878#124—84no—
879#124—82no—
880#123—48no—
881#123—84no—
882#123—84no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—84no—
890#121—48no—
891#121—48no—
892#121—44no—
893#121—44no—
894#121—44no—
895#121—44no—
896#121—44no—
897#121—84no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—42no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8—42no—
907C4×Q8—42no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—82no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—42no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—82no—
924#117—44no—
925#117—44no—
926#117—44no—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C42—44no—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2414yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2414yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2412yes—
1133#95C2411yescharacteristic
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2512yes—
1165C24C2512yes—
1166C24C2514yes—
1167#41—816no—
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—22no—
1175C2×Q8—22no—
1176C2×Q8—22no—
1177C2×Q8—24no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×Q8—42no—
1187C2×Q8—44no—
1188C2×Q8—42no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—816no—
1195C2×Q82−1+414yes—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—28no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—22no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—42no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—28no—
1233C22×C4—24no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—44no—
1237C22×C4—44no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—44no—
1242C22×C4—44no—
1243C22×C4—44no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4C2512yes—
1251C22×C4C2511yescharacteristic
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2511yescharacteristic
1255C22×C4C2511yescharacteristic
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2514yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—22no—
1287C4⋊C4—22no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—24no—
1291C4⋊C4—22no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—42no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C22⋊C4—24no—
1349C22⋊C4—24no—
1350C22⋊C4—24no—
1351C22⋊C4—24no—
1352C22⋊C4—24no—
1353C22⋊C4—28no—
1354C22⋊C4—42no—
1355C22⋊C4—42no—
1356C22⋊C4—44no—
1357C22⋊C4—44no—
1358C22⋊C4—42no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—42no—
1362C22⋊C4—44no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—42no—
1370C22⋊C4—44no—
1371C22⋊C4—44no—
1372C22⋊C4—44no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—44no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—44no—
1382C22⋊C4—44no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—44no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—22no—
1410C42—22no—
1411C42—24no—
1412C42—22no—
1413C42—24no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—42no—
1423C42—42no—
1424C42—44no—
1425C42—41no—
1426C42—41no—
1427C42—41no—
1428C42—42no—
1429C42—44no—
1430C42—44no—
1431C42—44no—
1432C42—41no—
1433C42—44no—
1434C42—41no—
1435C42—42no—
1436C42—42no—
1437C42H(5,𝔽2)14yes—
1438C23—22no—
1439C23—22no—
1440C23—24no—
1441C23—22no—
1442C23—22no—
1443C23—24no—
1444C23—24no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—24no—
1449C23—24no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—24no—
1456C23—22no—
1457C23—24no—
1458C23—22no—
1459C23C2611yescharacteristic
1460Q8—28no—
1461Q8—44no—
1462Q8—44no—
1463Q8—44no—
1464Q8—48no—
1465Q8—44no—
1466Q8—84no—
1467Q8—88no—
1468Q8—164no—
1469D4—44no—
1470D4—48no—
1471D4—44no—
1472D4—48no—
1473D4—84no—
1474D4—88no—
1475D4—164no—
1476D4—164no—
1477D4—164no—
1478D4—164no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—24no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—48no—
1567C2×C4—48no—
1568C2×C4—84no—
1569C2×C4—88no—
1570C2×C4—84no—
1571C2×C4—88no—
1572C2×C4—164no—
1573C2×C4—164no—
1574C2×C4C2×H(5,𝔽2)12yes—
1575C2×C4C2×H(5,𝔽2)12yes—
1576C2×C4C2×H(5,𝔽2)12yes—
1577C2×C4C2×2−1+414yes—
1578C2×C4C2×2−1+412yes—
1579C2×C4#58512yes—
1580C2×C4#58512yes—
1581C2×C4#58512yes—
1582C2×C4#58512yes—
1583C22—42no—
1584C22—44no—
1585C22—42no—
1586C22—42no—
1587C22—42no—
1588C22—44no—
1589C22—42no—
1590C22—44no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—44no—
1595C22—42no—
1596C22—42no—
1597C22—44no—
1598C22—44no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—44no—
1603C22—42no—
1604C22C22×H(5,𝔽2)11yescharacteristic
1605C22C22×2−1+411yescharacteristic
1606C22C2×#58511yescharacteristic
1607C22C2×#58511yescharacteristic
1608C22C2×#58511yescharacteristic
1609C22C2×#58511yescharacteristic
1610C22H(7,𝔽2)11yescharacteristic
1611C4—24no—
1612C4—22no—
1613C4—22no—
1614C4—42no—
1615C4—42no—
1616C4—42no—
1617C4—42no—
1618C4—44no—
1619C4—42no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—42no—
1629C4—41no—
1630C4—41no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—44no—
1635C4—42no—
1636C4—41no—
1637C4—41no—
1638C4—42no—
1639C4—44no—
1640C4—41no—
1641C4#356114yes—
1642C4#356214yes—
1643C2—82no—
1644C2—84no—
1645C2—82no—
1646C2C2×#356111yescharacteristic
1647C2C2×#356211yescharacteristic
1648C2#6282711yescharacteristic
1649C2#6295211yescharacteristic
1650C2#6296111yescharacteristic
1651C2#6296611yescharacteristic
1652C2#6303411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36412C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59659C2semidirect
2. #59413C2semidirect
3. #59411C2semidirect
4. #55377C2semidirect
5. #53835C2semidirect
6. #53652C2semidirect
7. #53108C2semidirect
8. #53084C2semidirect
9. #49057C2semidirect
10. #46048C2semidirect
11. #45516C2semidirect
12. #45209C2semidirect
13. #45173C2semidirect
14. #42940C2semidirect
15. #42903C2semidirect
16. #42872C2semidirect
17. #42729C2semidirect
18. #40072C2semidirect
19. #39984C2semidirect
20. #39619C2semidirect
21. #39171C2semidirect
22. #39168C2semidirect
23. #39071C2semidirect
24. #38958C2semidirect
25. #38063C2semidirect
26. #37625C2semidirect
27. #37329C2semidirect
28. #37292C2semidirect
29. #36609C2semidirect
30. #36583C2semidirect
32. #35208C2semidirect
33. #35206C2semidirect
34. #34945C2semidirect
35. #34902C2semidirect

Maximal subgroups

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

subgroupindex
#596592
#594132
#594112
#553772
#538352
#536522
#531082
#530842
#490572
#460482
#455162
#452092
#451732
#429402
#429032
#428722
#427292
#400722
#399842
#396192
#391712
#391682
#390712
#389582
#380632
#376252
#373292
#372922
#366092
#365832
#364122
#352082
#352062
#349452
#349022