Finite Group Databasebeta

← #7646677

Subgroups — #7646677

Order 512.

4295 conjugacy classes of subgroups.

The subgroup lattice has 1604 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42899C212yesmaximal, complemented
2#42896C212yesmaximal, complemented
3#42604C212yesmaximal, complemented
4#42562C212yesmaximal, complemented
5#41283C214yesmaximal, complemented
6#41190C214yesmaximal, complemented
7#39816C212yesmaximal, complemented
8#39753C211yesmaximal, characteristic, complemented
9#39734C211yesmaximal, characteristic, complemented
10#39505C211yesmaximal, characteristic, complemented
11#39479C211yesmaximal, characteristic, complemented
12#39268C212yesmaximal, complemented
13#39203C211yesmaximal, characteristic, complemented
14#39172C211yesmaximal, characteristic, complemented
15#39136C211yesmaximal, characteristic
16#39125C211yesmaximal, characteristic, complemented
17#37985C212yesmaximal, complemented
18#37955C212yesmaximal, complemented
19#37588C212yesmaximal, complemented
20#37579C212yesmaximal, complemented
21#37090C214yesmaximal, complemented
22#37056C214yesmaximal, complemented
23#35657C212yesmaximal, complemented
24#35586C212yesmaximal, complemented
25#35283C211yesmaximal, characteristic, complemented
26#35217C212yesmaximal, complemented
27#35213C212yesmaximal, complemented
28#35184C212yesmaximal, complemented
29#35176C211yesmaximal, characteristic, complemented
30#35164C212yesmaximal, complemented
31#34943C211yesmaximal, characteristic, complemented
32#34913C211yesmaximal, characteristic, complemented
33#34335C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×Q82C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2868C2211yescharacteristic
40#2866C2214yes—
41#2863C2214yes—
42#2863C2214yes—
43#2862C2211yescharacteristic
44#2861C2214yes—
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2212yes—
48#2855C2212yes—
49#2838C2214yes—
50#2837C2214yes—
51#2836C2214yes—
52#2829C2214yes—
53#2808C2214yes—
54#2798C2214yes—
55#2798C2214yes—
56#2796C2214yes—
57#2795C2214yes—
58#2791C2214yes—
59#2783C2214yes—
60#2781C2214yes—
61#2779C2214yes—
62#2776C2214yes—
63#2775C2214yes—
64#2771C2214yes—
65#2769C2214yes—
66#2766C2214yes—
67#2764C2214yes—
68#2758C2214yes—
69#2754C2214yes—
70#2754C2214yes—
71#2747C2214yes—
72#2744C2214yes—
73#2737C2214yes—
74#2731C2214yes—
75#2727C2214yes—
76#2725C2214yes—
77#2716C2214yes—
78#2716C2214yes—
79#2716C2214yes—
80#2713C2214yes—
81#2712C2214yes—
82#2705C2214yes—
83#2702C2214yes—
84#2674C2214yes—
85#2667C2214yes—
86#2667C2214yes—
87#2665C2214yes—
88#2660C2212yes—
89#2655C2214yes—
90#2654C2214yes—
91#2654C2214yes—
92#2653C2214yes—
93#2651C2214yes—
94#2651C2214yes—
95#2650C2214yes—
96#2648C2214yes—
97#2647C2212yes—
98#2640C2212yes—
99#2637C2214yes—
100#2632C2214yes—
101#2628C2212yes—
102#2628C2212yes—
103#2625C2212yes—
104#2624C2212yes—
105#2621C2212yes—
106#2620C2212yes—
107#2620C2212yes—
108#2612C2214yes—
109#2612C2214yes—
110#2608C2214yes—
111#2607C2214yes—
112#2597C2214yes—
113#2594C2214yes—
114#2588C2214yes—
115#2587C2214yes—
116#2578C2212yes—
117#2577C2212yes—
118#2576C2212yes—
119#2575C2214yes—
120#2575C2212yes—
121#2574C2214yes—
122#2572C2214yes—
123#2571C2212yes—
124#2571C2211yescharacteristic
125#2570C2212yes—
126#2570C2212yes—
127#2570C2212yes—
128#2568C2212yes—
129#2565C2212yes—
130#2563C2211yescharacteristic
131#2563C2211yescharacteristic
132#2562C2212yes—
133#2552C2211yescharacteristic
134#2552C2212yes—
135#2550C2212yes—
136#2550C2212yes—
137#2547C2212yes—
138#2546C2211yescharacteristic
139#2545C2212yes—
140#2542C2211yescharacteristic
141#2540C2212yes—
142#2538C2212yes—
143#2538C2212yes—
144#2538C2211yescharacteristic
145#2537C2211yescharacteristic
146#2536C2212yes—
147#2533C2214yes—
148#2533C2214yes—
149#2532C2214yes—
150#2531C2214yes—
151#2531C2214yes—
152#2529C2214yes—
153#2527C2214yes—
154#2526C2214yes—
155#2525C2214yes—
156#2525C2214yes—
157#2522C2214yes—
158#2521C2214yes—
159#2515C2214yes—
160#2514C2212yes—
161#2514C2211yescharacteristic
162#2513C2212yes—
163#2513C2212yes—
164#2512C2212yes—
165#2511C2212yes—
166#2511C2212yes—
167#2509C2212yes—
168#2508C2211yescharacteristic
169#2507C2212yes—
170#2507C2212yes—
171#2506C2212yes—
172#2500C2212yes—
173#2497C2212yes—
174#2496C2212yes—
175#2495C2212yes—
176#2495C2212yes—
177#2495C2211yescharacteristic
178#2495C2212yes—
179#2494C2212yes—
180#2492C2212yes—
181#2492C2212yes—
182#2492C2212yes—
183#2491C2212yes—
184#2491C2212yes—
185#2491C2212yes—
186#2489C2212yes—
187#2489C2211yescharacteristic
188#2485C2212yes—
189#2468C2214yes—
190#2460C2214yes—
191#2459C2214yes—
192#2454C2211yescharacteristic
193#2454C2212yes—
194#2453C2214yes—
195#2451C2212yes—
196#2451C2212yes—
197#2451C2212yes—
198#2448C2212yes—
199#2448C2214yes—
200#2447C2214yes—
201#2447C2211yescharacteristic
202#2446C2212yes—
203#2441C2212yes—
204#2441C2212yes—
205#2439C2212yes—
206#2439C2212yes—
207#2439C2212yes—
208#2429C2212yes—
209#2427C2211yescharacteristic
210#2426C2212yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2421C2212yes—
215#2421C2212yes—
216#2421C2212yes—
217#2421C2212yes—
218#2420C2211yescharacteristic
219#2420C2212yes—
220#2420C2212yes—
221#2414C2212yes—
222#2401C2212yes—
223#2398C2214yes—
224#2395C2212yes—
225#2373C2214yes—
226#2369C2211yescharacteristic
227#2369C2212yes—
228#2367C2212yes—
229#2365C2212yes—
230#2365C2214yes—
231#2365C2211yescharacteristic
232#2362C2212yes—
233#2356C2212yes—
234#2355C2211yescharacteristic
235#2355C2212yes—
236#2355C2211yescharacteristic
237#2354C2211yescharacteristic
238#2351C2212yes—
239Q8×C4⋊C4C2211yescharacteristic
240#2347C2212yes—
241#2335C2212yes—
242#2335C2212yes—
243#2334C2212yes—
244#2334C2212yes—
245#2331C2212yes—
246#2331C2212yes—
247#2331C2214yes—
248#2331C2212yes—
249#2330C2211yescharacteristic
250#2330C2211yescharacteristic
251#2330C2212yes—
252#2327C2212yes—
253#2326C2211yescharacteristic
254#2326C2211yescharacteristic
255#2324C2211yescharacteristic
256#2324C2211yescharacteristic
257#2323C2212yes—
258#2323C2211yescharacteristic
259#2323C2211yescharacteristic
260#2323C2212yes—
261#2323C2212yes—
262#2323C2212yes—
263#2319C2212yes—
264#2314C2212yes—
265#2314C2212yes—
266#2314C2212yes—
267C4×C4⋊Q8C2212yes—
268C4×C4⋊Q8C2211yescharacteristic
269C4×C4⋊Q8C2211yescharacteristic
270C4×#125C2211yescharacteristic
271C4×#126C2214yes—
272C4×#124C2211yescharacteristic
273C4×#124C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2211yescharacteristic
276C4×#121C2212yes—
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279#2298C2212yes—
280#2296C2212yes—
281#2295C2211yescharacteristic
282#2295C2211yescharacteristic
283#2295C2212yes—
284#2293C2211yescharacteristic
285#2293C2212yes—
286#2290C2212yes—
287#2290C2212yes—
288#2285C2211yescharacteristic
289#2283C2212yes—
290#2283C2212yes—
291#2283C2212yes—
292#2276C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299Q82—28no—
300#556—28no—
301C2×C4⋊Q8C2311yescharacteristic
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2314yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—28no—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2311yescharacteristic
316C2×#125C2312yes—
317C2×#125C2314yes—
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2311yescharacteristic
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#123C2312yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2311yescharacteristic
331C2×C22⋊Q8C2312yes—
332C2×#121C2311yescharacteristic
333C2×#121C2312yes—
334C2×#121C2311yescharacteristic
335C2×#121C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2314yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2311yescharacteristic
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2314yes—
357C2×#117C2311yescharacteristic
358C2×#117C2312yes—
359C2×#117C2312yes—
360C2×#117C2312yes—
361C2×#117C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2312yes—
364C22×C42C2311yescharacteristic
365C22×C42C2312yes—
366C22×C42C2312yes—
367#401C2312yes—
368#401C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2312yes—
380#400C2314yes—
381#400C2312yes—
382#400C2312yes—
383#400C2314yes—
384#400C2314yes—
385#400C2314yes—
386#400C2314yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#399C2314yes—
391#399C2314yes—
392#399C2312yes—
393#399C2314yes—
394#399C2314yes—
395#399C2314yes—
396#399C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2312yes—
417#397C2312yes—
418#397C2312yes—
419#397C2312yes—
420#397C2312yes—
421#397C2312yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2312yes—
438#396C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#395C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2312yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2312yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#392C2314yes—
471#391C2312yes—
472#391C2314yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2314yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2314yes—
492#391C2314yes—
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2312yes—
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2314yes—
515#389C2311yescharacteristic
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2314yes—
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2314yes—
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2312yes—
558#389C2314yes—
559#389C2314yes—
560#389C2314yes—
561#389C2312yes—
562#389C2311yescharacteristic
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2312yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2312yes—
634#387C2312yes—
635#387C2314yes—
636#387C2314yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2312yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2314yes—
681#385C2314yes—
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#384C2312yes—
690#384C2311yescharacteristic
691#384C2312yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#383C2312yes—
696#383C2312yes—
697#383C2314yes—
698#382C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2314yes—
712#382C2312yes—
713#381C2314yes—
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#381C2312yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802#376C2312yes—
803#376C2311yescharacteristic
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809C43C2314yes—
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2312yes—
813C22×Q8C2411yescharacteristic
814C22×Q8C2412yes—
815C22×Q8C2411yescharacteristic
816C22×Q8C2412yes—
817C22×Q8C2414yes—
818C22×Q8C2414yes—
819C22×D4C2411yescharacteristic
820C22×D4C2411yescharacteristic
821C22×D4C2412yes—
822C22×D4C2414yes—
823C22×D4C2412yes—
824C23×C4C2411yescharacteristic
825C23×C4C2412yes—
826C23×C4C2412yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2412yes—
833C4⋊Q8—28no—
834C4⋊Q8—216no—
835C4⋊Q8—24no—
836C4⋊Q8—24no—
837C4⋊Q8—28no—
838C4⋊Q8—44no—
839C4⋊Q8—44no—
840C4⋊Q8—44no—
841C4⋊Q8—82no—
842#126—28no—
843#126—216no—
844#126—84no—
845#125—24no—
846#125—44no—
847#125—42no—
848#125—84no—
849#124—24no—
850#124—28no—
851#124—42no—
852#124—84no—
853#124—84no—
854#123—28no—
855C22⋊Q8—24no—
856C22⋊Q8—28no—
857C22⋊Q8—42no—
858C22⋊Q8—44no—
859C22⋊Q8—44no—
860C22⋊Q8—44no—
861C22⋊Q8—44no—
862C22⋊Q8—82no—
863#121—24no—
864#121—44no—
865#121—42no—
866#121—44no—
867C4×Q8—28no—
868C4×Q8—28no—
869C4×Q8—24no—
870C4×Q8—28no—
871C4×Q8—24no—
872C4×Q8—44no—
873C4×Q8—42no—
874C4×Q8—44no—
875C4×Q8—44no—
876C4×Q8—82no—
877C4×Q8—84no—
878C4×Q8#4118yes—
879C4×D4—24no—
880C4×D4—28no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—42no—
884C4×D4—42no—
885C4×D4—42no—
886C4×D4—44no—
887C4×D4—84no—
888#117—28no—
889#117—28no—
890#117—24no—
891#117—44no—
892#117—44no—
893#117—42no—
894#117—44no—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2412yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2412yes—
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2411yescharacteristic
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2411yescharacteristic
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2411yescharacteristic
915C2×C4⋊C4C2414yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2414yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2412yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2411yescharacteristic
972C2×C22⋊C4C2411yescharacteristic
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2412yes—
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C42—24no—
1015C2×C42—28no—
1016C2×C42—44no—
1017C2×C42C2412yes—
1018C2×C42C2411yescharacteristic
1019C2×C42C2411yescharacteristic
1020C2×C42C2411yescharacteristic
1021C2×C42C2414yes—
1022C2×C42C2411yescharacteristic
1023C2×C42C2412yes—
1024C2×C42C2411yescharacteristic
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2412yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2414yes—
1038C2×C42C2414yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2412yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2414yes—
1047C2×C42C2414yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057#95C2412yes—
1058#95C2412yes—
1059#95C2411yescharacteristic
1060#95C2411yescharacteristic
1061#95C2414yes—
1062#95C2411yescharacteristic
1063#95C2411yescharacteristic
1064#95C2414yes—
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2414yes—
1069#95C2411yescharacteristic
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2414yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2412yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2414yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141C24C2512yes—
1142C24C2512yes—
1143C24C2511yescharacteristic
1144C2×Q8—22no—
1145C2×Q8—24no—
1146C2×Q8—28no—
1147C2×Q8—24no—
1148C2×Q8—22no—
1149C2×Q8—22no—
1150C2×Q8—24no—
1151C2×Q8—24no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—42no—
1155C2×Q8—44no—
1156C2×Q8—42no—
1157C2×Q8—44no—
1158C2×Q8—44no—
1159C2×Q8—44no—
1160C2×Q8—44no—
1161C2×Q8C2×#4114yes—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—24no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—42no—
1170C2×D4—44no—
1171C2×D4—44no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—42no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—24no—
1180C22×C4—24no—
1181C22×C4—24no—
1182C22×C4—22no—
1183C22×C4—24no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—24no—
1187C22×C4—24no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—24no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—42no—
1194C22×C4—42no—
1195C22×C4—42no—
1196C22×C4—42no—
1197C22×C4—42no—
1198C22×C4—42no—
1199C22×C4—42no—
1200C22×C4—41no—
1201C22×C4—42no—
1202C22×C4—41no—
1203C22×C4—42no—
1204C22×C4C2512yes—
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2511yescharacteristic
1208C22×C4C2511yescharacteristic
1209C22×C4C2511yescharacteristic
1210C22×C4C2512yes—
1211C22×C4C2512yes—
1212C22×C4C2514yes—
1213C22×C4C2512yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2511yescharacteristic
1219C22×C4C2511yescharacteristic
1220C22×C4C2512yes—
1221C22×C4C2514yes—
1222C22×C4C2514yes—
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2512yes—
1226C22×C4C2514yes—
1227C22×C4C2511yescharacteristic
1228C22×C4C2512yes—
1229C22×C4C2512yes—
1230C22×C4C2512yes—
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2511yescharacteristic
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C4⋊C4—24no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—28no—
1244C4⋊C4—24no—
1245C4⋊C4—28no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—24no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—24no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—24no—
1261C4⋊C4—24no—
1262C4⋊C4—22no—
1263C4⋊C4—24no—
1264C4⋊C4—22no—
1265C4⋊C4—42no—
1266C4⋊C4—42no—
1267C4⋊C4—44no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—41no—
1272C4⋊C4—42no—
1273C4⋊C4—42no—
1274C4⋊C4—42no—
1275C4⋊C4—42no—
1276C4⋊C4—41no—
1277C4⋊C4—42no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—42no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—42no—
1287C4⋊C4—44no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—44no—
1291C4⋊C4—42no—
1292C4⋊C4—44no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—44no—
1296C4⋊C4—42no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—42no—
1300C4⋊C4—44no—
1301C4⋊C4—44no—
1302C4⋊C4—42no—
1303C4⋊C4—44no—
1304C4⋊C4—44no—
1305C4⋊C4—44no—
1306C4⋊C4—44no—
1307C4⋊C4C2×#4114yes—
1308C4⋊C4C2×#4118yes—
1309C22⋊C4—24no—
1310C22⋊C4—24no—
1311C22⋊C4—28no—
1312C22⋊C4—24no—
1313C22⋊C4—24no—
1314C22⋊C4—24no—
1315C22⋊C4—24no—
1316C22⋊C4—28no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—24no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—44no—
1323C22⋊C4—44no—
1324C22⋊C4—41no—
1325C22⋊C4—42no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—42no—
1329C22⋊C4—41no—
1330C22⋊C4—44no—
1331C22⋊C4—42no—
1332C22⋊C4—42no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—42no—
1336C22⋊C4—44no—
1337C22⋊C4—44no—
1338C22⋊C4—44no—
1339C22⋊C4—42no—
1340C22⋊C4—44no—
1341C22⋊C4—44no—
1342C22⋊C4—44no—
1343C22⋊C4—44no—
1344C22⋊C4—44no—
1345C22⋊C4—42no—
1346C22⋊C4—44no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—42no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C42—22no—
1356C42—22no—
1357C42—22no—
1358C42—28no—
1359C42—28no—
1360C42—24no—
1361C42—24no—
1362C42—24no—
1363C42—24no—
1364C42—22no—
1365C42—24no—
1366C42—22no—
1367C42—24no—
1368C42—24no—
1369C42—22no—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—24no—
1374C42—22no—
1375C42—42no—
1376C42—42no—
1377C42—41no—
1378C42—42no—
1379C42—41no—
1380C42—44no—
1381C42—44no—
1382C42—44no—
1383C42—42no—
1384C42—44no—
1385C42—44no—
1386C42—41no—
1387C42—42no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—41no—
1392C42C2×#4114yes—
1393C42C2×#4118yes—
1394C422−1+414yes—
1395C23—22no—
1396C23—22no—
1397C23—21no—
1398C23—21no—
1399C23—22no—
1400C23—22no—
1401C23—21no—
1402C23—22no—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—21no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—22no—
1415C23—21no—
1416C23C2611yescharacteristic
1417Q8—28no—
1418Q8—44no—
1419Q8—48no—
1420Q8—84no—
1421Q8—88no—
1422Q8—164no—
1423D4—44no—
1424D4—44no—
1425D4—84no—
1426D4—84no—
1427D4—88no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—22no—
1432C2×C4—21no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—22no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—22no—
1443C2×C4—24no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—22no—
1464C2×C4—21no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—24no—
1477C2×C4—24no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—21no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—24no—
1498C2×C4—21no—
1499C2×C4—24no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—44no—
1514C2×C4—48no—
1515C2×C4—44no—
1516C2×C4—48no—
1517C2×C4—82no—
1518C2×C4—84no—
1519C2×C4—84no—
1520C2×C4—84no—
1521C2×C4—84no—
1522C2×C4C22×#4114yes—
1523C2×C4C22×#4114yes—
1524C2×C4C22×#4112yes—
1525C2×C4C22×#4112yes—
1526C2×C4C22×#4112yes—
1527C2×C4C2×2−1+412yes—
1528C2×C4C2×2−1+412yes—
1529C2×C4C2×2−1+412yes—
1530C2×C4#58512yes—
1531C2×C4#58512yes—
1532C2×C4#58512yes—
1533C22—42no—
1534C22—41no—
1535C22—42no—
1536C22—41no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—41no—
1542C22—42no—
1543C22—41no—
1544C22—42no—
1545C22—42no—
1546C22—41no—
1547C22—42no—
1548C22—42no—
1549C22—41no—
1550C22—42no—
1551C22—42no—
1552C22—42no—
1553C22—41no—
1554C22C23×#4111yescharacteristic
1555C22C22×2−1+411yescharacteristic
1556C22C2×#58511yescharacteristic
1557C22C2×#58511yescharacteristic
1558C22C2×#58511yescharacteristic
1559C22H(7,𝔽2)11yescharacteristic
1560C222−1+611yescharacteristic
1561C4—22no—
1562C4—24no—
1563C4—22no—
1564C4—24no—
1565C4—22no—
1566C4—41no—
1567C4—42no—
1568C4—42no—
1569C4—44no—
1570C4—41no—
1571C4—42no—
1572C4—44no—
1573C4—41no—
1574C4—42no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—41no—
1579C4—42no—
1580C4—41no—
1581C4—42no—
1582C4—41no—
1583C4—42no—
1584C4—41no—
1585C4—42no—
1586C4—41no—
1587C4—42no—
1588C4—44no—
1589C4—44no—
1590C4—41no—
1591C4#346114yes—
1592C4#352414yes—
1593C2—81no—
1594C2—82no—
1595C2—82no—
1596C2C2×#346111yescharacteristic
1597C2C2×#352411yescharacteristic
1598C2#6285711yescharacteristic
1599C2#6292911yescharacteristic
1600C2#6293611yescharacteristic
1601C2#6295911yescharacteristic
1602C2#6296911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39136C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42899C2semidirect
2. #42896C2semidirect
3. #42604C2semidirect
4. #42562C2semidirect
5. #41283C2semidirect
6. #41190C2semidirect
7. #39816C2semidirect
8. #39753C2semidirect
9. #39734C2semidirect
10. #39505C2semidirect
11. #39479C2semidirect
12. #39268C2semidirect
13. #39203C2semidirect
14. #39172C2semidirect
16. #39125C2semidirect
17. #37985C2semidirect
18. #37955C2semidirect
19. #37588C2semidirect
20. #37579C2semidirect
21. #37090C2semidirect
22. #37056C2semidirect
23. #35657C2semidirect
24. #35586C2semidirect
25. #35283C2semidirect
26. #35217C2semidirect
27. #35213C2semidirect
28. #35184C2semidirect
29. #35176C2semidirect
30. #35164C2semidirect
31. #34943C2semidirect
32. #34913C2semidirect
33. #34335C2semidirect
34. C4×#556C2semidirect
35. #34084C2semidirect

Maximal subgroups

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

subgroupindex
#428992
#428962
#426042
#425622
#412832
#411902
#398162
#397532
#397342
#395052
#394792
#392682
#392032
#391722
#391362
#391252
#379852
#379552
#375882
#375792
#370902
#370562
#356572
#355862
#352832
#352172
#352132
#351842
#351762
#351642
#349432
#349132
#343352
C4×#5562
#340842