Finite Group Databasebeta

← #8424476

Subgroups — #8424476

Order 512.

4369 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59828C211yesmaximal, characteristic, complemented
2#59679C212yesmaximal, complemented
3#59665C211yesmaximal, characteristic, complemented
4#59457C211yesmaximal, characteristic, complemented
5#59082C212yesmaximal, complemented
6#58640C214yesmaximal, complemented
7#58637C214yesmaximal, complemented
8#53141C212yesmaximal, complemented
9#53130C212yesmaximal, complemented
10#53112C212yesmaximal, complemented
11#52989C212yesmaximal, complemented
12#52496C214yesmaximal, complemented
13#42804C212yesmaximal, complemented
14#42762C212yesmaximal, complemented
15#42687C212yesmaximal, complemented
16#42509C212yesmaximal, complemented
17#41202C214yesmaximal, complemented
18#40069C212yesmaximal, complemented
19#39972C212yesmaximal, complemented
20#39387C211yesmaximal, characteristic
21#39201C211yesmaximal, characteristic
22#38987C211yesmaximal, characteristic, complemented
23#38985C211yesmaximal, characteristic, complemented
24#38969C212yesmaximal, complemented
25#37796C212yesmaximal, complemented
26#37637C211yesmaximal, characteristic, complemented
27#37628C211yesmaximal, characteristic, complemented
28#37571C212yesmaximal, complemented
29#37524C212yesmaximal, complemented
30#36609C211yesmaximal, characteristic, complemented
31#36556C211yesmaximal, characteristic, complemented
32#36476C211yesmaximal, characteristic, complemented
33#34950C211yesmaximal, characteristic, complemented
34#34934C211yesmaximal, characteristic
35#34893C211yesmaximal, characteristic, complemented
36C2×#557C2212yes—
37C2×#542C2212yes—
38C2×#529C2212yes—
39#2864C2212yes—
40#2862C2211yescharacteristic
41#2858C2211yescharacteristic
42#2858C2211yescharacteristic
43#2855C2212yes—
44#2837C2214yes—
45#2836C2214yes—
46#2836C2214yes—
47#2836C2214yes—
48#2832C2214yes—
49#2831C2214yes—
50#2831C2214yes—
51#2831C2214yes—
52#2830C2214yes—
53#2827C2214yes—
54#2827C2214yes—
55#2827C2214yes—
56#2820C2214yes—
57#2814C2214yes—
58#2800C2214yes—
59#2800C2214yes—
60#2799C2214yes—
61#2790C2214yes—
62#2788C2214yes—
63#2786C2214yes—
64#2780C2214yes—
65#2768C2214yes—
66#2751C2214yes—
67#2751C2214yes—
68#2747C2214yes—
69#2744C2214yes—
70#2740C2214yes—
71#2739C2214yes—
72#2730C2214yes—
73#2728C2214yes—
74#2726C2214yes—
75#2724C2214yes—
76#2723C2214yes—
77#2722C2214yes—
78#2717C2214yes—
79#2715C2214yes—
80#2712C2214yes—
81#2710C2214yes—
82#2707C2214yes—
83#2705C2214yes—
84#2704C2214yes—
85#2700C2214yes—
86#2698C2214yes—
87#2695C2214yes—
88#2694C2214yes—
89#2694C2214yes—
90#2690C2214yes—
91#2689C2214yes—
92#2677C2214yes—
93#2674C2214yes—
94#2674C2214yes—
95#2667C2214yes—
96#2664C2214yes—
97#2664C2214yes—
98#2654C2214yes—
99#2654C2214yes—
100#2652C2214yes—
101#2652C2214yes—
102#2650C2214yes—
103#2650C2214yes—
104#2647C2212yes—
105#2647C2212yes—
106#2644C2212yes—
107#2644C2212yes—
108#2644C2212yes—
109#2644C2212yes—
110#2637C2214yes—
111#2637C2214yes—
112#2629C2212yes—
113#2625C2212yes—
114#2625C2212yes—
115#2624C2212yes—
116#2621C2212yes—
117#2620C2212yes—
118#2607C2214yes—
119#2592C2212yes—
120#2592C2212yes—
121#2592C2212yes—
122#2589C2214yes—
123#2589C2212yes—
124#2588C2214yes—
125#2587C2212yes—
126#2586C2212yes—
127#2586C2212yes—
128#2584C2212yes—
129#2584C2211yescharacteristic
130#2582C2212yes—
131#2582C2211yescharacteristic
132#2580C2212yes—
133#2580C2212yes—
134#2580C2211yescharacteristic
135#2580C2212yes—
136#2580C2212yes—
137#2571C2211yescharacteristic
138#2570C2212yes—
139#2567C2211yescharacteristic
140#2567C2211yescharacteristic
141#2567C2211yescharacteristic
142#2566C2211yescharacteristic
143#2566C2212yes—
144#2566C2212yes—
145#2563C2211yescharacteristic
146#2554C2214yes—
147#2552C2211yescharacteristic
148#2552C2211yescharacteristic
149#2551C2211yescharacteristic
150#2550C2212yes—
151#2550C2211yescharacteristic
152#2548C2212yes—
153#2548C2212yes—
154#2548C2211yescharacteristic
155#2547C2212yes—
156#2546C2212yes—
157#2546C2211yescharacteristic
158#2545C2214yes—
159#2545C2212yes—
160#2542C2211yescharacteristic
161#2541C2211yescharacteristic
162#2538C2211yescharacteristic
163#2538C2212yes—
164#2538C2212yes—
165#2538C2212yes—
166#2522C2212yes—
167#2520C2214yes—
168#2519C2214yes—
169#2513C2212yes—
170#2513C2212yes—
171#2513C2212yes—
172#2513C2212yes—
173#2513C2212yes—
174#2512C2212yes—
175#2512C2214yes—
176#2512C2212yes—
177#2512C2212yes—
178#2512C2212yes—
179#2512C2212yes—
180#2511C2212yes—
181#2509C2212yes—
182#2509C2212yes—
183#2509C2211yescharacteristic
184#2509C2212yes—
185#2508C2212yes—
186#2508C2212yes—
187#2507C2211yescharacteristic
188#2507C2212yes—
189#2507C2212yes—
190#2507C2211yescharacteristic
191#2507C2211yescharacteristic
192#2506C2212yes—
193#2506C2212yes—
194#2506C2212yes—
195#2506C2212yes—
196#2496C2212yes—
197#2492C2212yes—
198#2491C2212yes—
199#2490C2212yes—
200#2489C2212yes—
201#2478C2214yes—
202#2475C2214yes—
203#2469C2214yes—
204#2466C2214yes—
205#2466C2214yes—
206#2465C2212yes—
207#2460C2214yes—
208#2460C2214yes—
209#2454C2212yes—
210#2454C2212yes—
211#2454C2211yescharacteristic
212#2453C2212yes—
213#2453C2214yes—
214#2453C2212yes—
215#2452C2212yes—
216#2452C2212yes—
217#2452C2211yescharacteristic
218#2451C2212yes—
219#2451C2211yescharacteristic
220#2451C2211yescharacteristic
221#2450C2214yes—
222#2448C2212yes—
223#2448C2212yes—
224#2448C2212yes—
225#2447C2212yes—
226#2447C2212yes—
227#2447C2212yes—
228#2447C2214yes—
229#2447C2212yes—
230#2446C2214yes—
231#2446C2212yes—
232#2445C2212yes—
233#2445C2212yes—
234#2445C2212yes—
235#2439C2214yes—
236#2438C2214yes—
237#2429C2212yes—
238#2427C2212yes—
239#2426C2212yes—
240#2426C2212yes—
241#2423C2212yes—
242#2422C2212yes—
243#2421C2212yes—
244#2419C2214yes—
245#2419C2214yes—
246#2399C2212yes—
247#2399C2212yes—
248#2396C2212yes—
249#2396C2212yes—
250#2392C2214yes—
251#2370C2212yes—
252#2369C2211yescharacteristic
253#2369C2211yescharacteristic
254#2367C2212yes—
255#2367C2212yes—
256#2367C2214yes—
257#2366C2211yescharacteristic
258#2366C2211yescharacteristic
259#2365C2211yescharacteristic
260#2365C2212yes—
261#2365C2211yescharacteristic
262#2357C2212yes—
263#2357C2212yes—
264#2355C2212yes—
265#2355C2212yes—
266#2355C2212yes—
267Q8×C4⋊C4C2212yes—
268#2349C2212yes—
269#2349C2212yes—
270#2329C2214yes—
271#2324C2212yes—
272#2319C2212yes—
273#2319C2212yes—
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2211yescharacteristic
280C4×C4⋊Q8C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2212yes—
283C4×#125C2211yescharacteristic
284C4×#125C2212yes—
285C4×#125C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×#121C2212yes—
289#2296C2212yes—
290#2295C2211yescharacteristic
291#2295C2212yes—
292#2295C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2293C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299#557—48no—
300#542—48no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2314yes—
310C2×#127C2311yescharacteristic
311C2×#127C2312yes—
312#529—48no—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2314yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2311yescharacteristic
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2314yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2314yes—
373C22×C42C2312yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2312yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2312yes—
389#400C2314yes—
390#400C2314yes—
391#399C2314yes—
392#399C2314yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2312yes—
397#399C2314yes—
398#399C2312yes—
399#398C2314yes—
400#398C2312yes—
401#398C2312yes—
402#398C2312yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2312yes—
412#398C2312yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2312yes—
420#398C2312yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#398C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#396C2312yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2312yes—
462#396C2312yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#395C2312yes—
477#395C2314yes—
478#395C2312yes—
479#395C2312yes—
480#395C2314yes—
481#395C2312yes—
482#395C2312yes—
483#395C2312yes—
484#395C2312yes—
485#395C2312yes—
486#395C2312yes—
487#395C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2312yes—
504#393C2314yes—
505#393C2314yes—
506#393C2312yes—
507#392C2314yes—
508#391C2312yes—
509#391C2312yes—
510#391C2312yes—
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2312yes—
521#391C2314yes—
522#391C2314yes—
523#391C2312yes—
524#391C2312yes—
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2312yes—
529#391C2314yes—
530#391C2314yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2314yes—
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2312yes—
618#389C2314yes—
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2312yes—
626#389C2312yes—
627#389C2314yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#387C2314yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#385C2314yes—
700#385C2312yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2312yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#384C2311yescharacteristic
720#384C2312yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2312yes—
727#384C2312yes—
728#384C2312yes—
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2311yescharacteristic
732#382C2312yes—
733#382C2314yes—
734#382C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2314yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2312yes—
808C2×#95C2314yes—
809C43C2311yescharacteristic
810C43C2312yes—
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C22×Q8C2412yes—
814C22×Q8C2411yescharacteristic
815C22×Q8C2412yes—
816C22×Q8C2411yescharacteristic
817C22×Q8C2412yes—
818C22×Q8C2412yes—
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×D4C2412yes—
822C22×D4C2411yescharacteristic
823C22×D4C2412yes—
824C22×D4C2414yes—
825C22×D4C2412yes—
826C22×D4C2414yes—
827C23×C4C2412yes—
828C23×C4C2414yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2414yes—
832C23×C4C2412yes—
833C4⋊Q8—24no—
834C4⋊Q8—24no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—42no—
838C4⋊Q8—42no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—48no—
842#127—24no—
843#127—44no—
844#126—48no—
845#126—48no—
846#126—84no—
847#126—84no—
848#125—28no—
849#125—24no—
850#125—42no—
851#125—44no—
852#125—48no—
853#125—48no—
854#125—84no—
855#124—44no—
856#124—44no—
857#124—44no—
858#124—44no—
859#124—48no—
860#124—48no—
861#124—82no—
862#123—48no—
863#123—48no—
864#123—84no—
865C22⋊Q8—44no—
866C22⋊Q8—48no—
867C22⋊Q8—48no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871C22⋊Q8—84no—
872#121—28no—
873#121—44no—
874C4×Q8—24no—
875C4×Q8—28no—
876C4×Q8—24no—
877C4×Q8—24no—
878C4×Q8—42no—
879C4×Q8—44no—
880C4×Q8—44no—
881C4×Q8—44no—
882C4×Q8—44no—
883C4×Q8—42no—
884C4×Q8—42no—
885C4×Q8—44no—
886C4×Q8—48no—
887C4×Q8—44no—
888C4×Q8—82no—
889C4×D4—28no—
890C4×D4—24no—
891C4×D4—24no—
892C4×D4—44no—
893C4×D4—44no—
894C4×D4—44no—
895C4×D4—42no—
896C4×D4—44no—
897C4×D4—48no—
898C4×D4—44no—
899C4×D4—82no—
900C4×D4—84no—
901#117—44no—
902#117—44no—
903#117—48no—
904C2×C4⋊C4C2414yes—
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2411yescharacteristic
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2411yescharacteristic
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2411yescharacteristic
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2411yescharacteristic
917C2×C4⋊C4C2411yescharacteristic
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2412yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C42—44no—
1034C2×C42C2412yes—
1035C2×C42C2411yescharacteristic
1036C2×C42C2411yescharacteristic
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2412yes—
1042C2×C42C2412yes—
1043C2×C42C2411yescharacteristic
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2411yescharacteristic
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2411yescharacteristic
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2414yes—
1059C2×C42C2414yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2414yes—
1067C2×C42C2414yes—
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2411yescharacteristic
1085#95C2412yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2412yes—
1100#95C2411yescharacteristic
1101#95C2412yes—
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148C24C2514yes—
1149C24C2512yes—
1150C2×Q8—24no—
1151C2×Q8—22no—
1152C2×Q8—24no—
1153C2×Q8—24no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—24no—
1158C2×Q8—22no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—41no—
1163C2×Q8—42no—
1164C2×Q8—41no—
1165C2×Q8—42no—
1166C2×Q8—42no—
1167C2×Q8—42no—
1168C2×Q8—42no—
1169C2×Q8—42no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8—42no—
1174C2×D4—24no—
1175C2×D4—28no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—24no—
1184C2×D4—22no—
1185C2×D4—44no—
1186C2×D4—42no—
1187C2×D4—44no—
1188C2×D4—42no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4—44no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—28no—
1196C22×C4—24no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—44no—
1200C22×C4—42no—
1201C22×C4—42no—
1202C22×C4—44no—
1203C22×C4—42no—
1204C22×C4—44no—
1205C22×C4—44no—
1206C22×C4—44no—
1207C22×C4—44no—
1208C22×C4—44no—
1209C22×C4—44no—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2514yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2512yes—
1223C22×C4C2512yes—
1224C22×C4C2512yes—
1225C22×C4C2511yescharacteristic
1226C22×C4C2512yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2514yes—
1229C22×C4C2512yes—
1230C22×C4C2511yescharacteristic
1231C22×C4C2512yes—
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2512yes—
1236C22×C4C2512yes—
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C22×C4C2511yescharacteristic
1241C22×C4C2511yescharacteristic
1242C22×C4C2511yescharacteristic
1243C4⋊C4—28no—
1244C4⋊C4—22no—
1245C4⋊C4—24no—
1246C4⋊C4—28no—
1247C4⋊C4—28no—
1248C4⋊C4—24no—
1249C4⋊C4—22no—
1250C4⋊C4—24no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—24no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—24no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—24no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—42no—
1280C4⋊C4—44no—
1281C4⋊C4—42no—
1282C4⋊C4—42no—
1283C4⋊C4—44no—
1284C4⋊C4—41no—
1285C4⋊C4—42no—
1286C4⋊C4—42no—
1287C4⋊C4—42no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—42no—
1302C4⋊C4—44no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—42no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—44no—
1309C4⋊C4—44no—
1310C4⋊C4—44no—
1311C4⋊C4—42no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4H(5,𝔽2)14yes—
1332C22⋊C4—28no—
1333C22⋊C4—24no—
1334C22⋊C4—28no—
1335C22⋊C4—24no—
1336C22⋊C4—24no—
1337C22⋊C4—28no—
1338C22⋊C4—42no—
1339C22⋊C4—42no—
1340C22⋊C4—42no—
1341C22⋊C4—44no—
1342C22⋊C4—42no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—44no—
1348C22⋊C4—44no—
1349C22⋊C4—44no—
1350C22⋊C4—44no—
1351C22⋊C4—44no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C22⋊C4—44no—
1358C22⋊C4—44no—
1359C22⋊C4—44no—
1360C22⋊C4—44no—
1361C22⋊C4—44no—
1362C22⋊C4—42no—
1363C22⋊C4—44no—
1364C22⋊C4—44no—
1365C22⋊C4—44no—
1366C22⋊C4—44no—
1367C22⋊C4—44no—
1368C22⋊C4—44no—
1369C22⋊C4—44no—
1370C22⋊C4—44no—
1371C22⋊C4—42no—
1372C42—22no—
1373C42—24no—
1374C42—24no—
1375C42—22no—
1376C42—24no—
1377C42—28no—
1378C42—22no—
1379C42—22no—
1380C42—22no—
1381C42—24no—
1382C42—22no—
1383C42—24no—
1384C42—24no—
1385C42—24no—
1386C42—22no—
1387C42—22no—
1388C42—24no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—42no—
1394C42—42no—
1395C42—41no—
1396C42—42no—
1397C42—42no—
1398C42—41no—
1399C42—41no—
1400C42—44no—
1401C42—44no—
1402C42—41no—
1403C42—44no—
1404C42—44no—
1405C42—41no—
1406C42—44no—
1407C42—42no—
1408C422−1+414yes—
1409C422−1+414yes—
1410C23—24no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—24no—
1415C23—24no—
1416C23—22no—
1417C23—24no—
1418C23—22no—
1419C23—24no—
1420C23—24no—
1421C23—22no—
1422C23—22no—
1423C23—24no—
1424C23C2611yescharacteristic
1425Q8—48no—
1426Q8—44no—
1427Q8—48no—
1428Q8—44no—
1429Q8—84no—
1430Q8—84no—
1431Q8—84no—
1432Q8—84no—
1433D4—48no—
1434D4—44no—
1435D4—48no—
1436D4—88no—
1437D4—84no—
1438D4—88no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—22no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—21no—
1452C2×C4—24no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—22no—
1456C2×C4—21no—
1457C2×C4—22no—
1458C2×C4—21no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—24no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—24no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—24no—
1475C2×C4—24no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—21no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—24no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—48no—
1528C2×C4—84no—
1529C2×C4—88no—
1530C2×C4—84no—
1531C2×C4—164no—
1532C2×C4—164no—
1533C2×C4C2×H(5,𝔽2)14yes—
1534C2×C4C2×H(5,𝔽2)12yes—
1535C2×C4C2×2−1+412yes—
1536C2×C4C2×2−1+412yes—
1537C2×C4C2×2−1+412yes—
1538C2×C4C2×2−1+412yes—
1539C2×C4C2×2−1+412yes—
1540C2×C4C2×2−1+412yes—
1541C2×C4#58512yes—
1542C2×C4#58512yes—
1543C2×C4#58512yes—
1544C22—42no—
1545C22—44no—
1546C22—42no—
1547C22—44no—
1548C22—42no—
1549C22—44no—
1550C22—42no—
1551C22—44no—
1552C22—44no—
1553C22—42no—
1554C22—44no—
1555C22—42no—
1556C22—44no—
1557C22—42no—
1558C22C22×H(5,𝔽2)11yescharacteristic
1559C22C22×2−1+411yescharacteristic
1560C22C22×2−1+411yescharacteristic
1561C22C2×#58511yescharacteristic
1562C22C2×#58511yescharacteristic
1563C22C2×#58511yescharacteristic
1564C22H(7,𝔽2)11yescharacteristic
1565C4—22no—
1566C4—24no—
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—42no—
1571C4—44no—
1572C4—42no—
1573C4—42no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—42no—
1578C4—42no—
1579C4—42no—
1580C4—42no—
1581C4—41no—
1582C4—42no—
1583C4—41no—
1584C4—41no—
1585C4—42no—
1586C4—44no—
1587C4—41no—
1588C4—41no—
1589C4—42no—
1590C4—42no—
1591C4—42no—
1592C4—42no—
1593C4—41no—
1594C4—42no—
1595C4—44no—
1596C4#355414yes—
1597C4#355514yes—
1598C2—82no—
1599C2—84no—
1600C2C2×#355411yescharacteristic
1601C2C2×#355511yescharacteristic
1602C2#6276111yescharacteristic
1603C2#6291711yescharacteristic
1604C2#6293811yescharacteristic
1605C2#6296211yescharacteristic
1606C2#6301811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2541C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59828C2semidirect
2. #59679C2semidirect
3. #59665C2semidirect
4. #59457C2semidirect
5. #59082C2semidirect
6. #58640C2semidirect
7. #58637C2semidirect
8. #53141C2semidirect
9. #53130C2semidirect
10. #53112C2semidirect
11. #52989C2semidirect
12. #52496C2semidirect
13. #42804C2semidirect
14. #42762C2semidirect
15. #42687C2semidirect
16. #42509C2semidirect
17. #41202C2semidirect
18. #40069C2semidirect
19. #39972C2semidirect
22. #38987C2semidirect
23. #38985C2semidirect
24. #38969C2semidirect
25. #37796C2semidirect
26. #37637C2semidirect
27. #37628C2semidirect
28. #37571C2semidirect
29. #37524C2semidirect
30. #36609C2semidirect
31. #36556C2semidirect
32. #36476C2semidirect
33. #34950C2semidirect
35. #34893C2semidirect

Maximal subgroups

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

subgroupindex
#598282
#596792
#596652
#594572
#590822
#586402
#586372
#531412
#531302
#531122
#529892
#524962
#428042
#427622
#426872
#425092
#412022
#400692
#399722
#393872
#392012
#389872
#389852
#389692
#377962
#376372
#376282
#375712
#375242
#366092
#365562
#364762
#349502
#349342
#348932