Finite Group Databasebeta

← #8429399

Subgroups — #8429399

Order 512.

4091 conjugacy classes of subgroups.

The subgroup lattice has 1612 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59710C212yesmaximal, complemented
2#59665C211yesmaximal, characteristic, complemented
3#59432C212yesmaximal, complemented
4#59217C211yesmaximal, characteristic, complemented
5#59212C211yesmaximal, characteristic, complemented
6#57066C214yesmaximal, complemented
7#55984C214yesmaximal, complemented
8#53135C212yesmaximal, complemented
9#53075C212yesmaximal, complemented
10#53072C212yesmaximal, complemented
11#53062C212yesmaximal, complemented
12#52558C214yesmaximal, complemented
13#42947C212yesmaximal, complemented
14#42693C212yesmaximal, complemented
15#42686C212yesmaximal, complemented
16#42662C212yesmaximal, complemented
17#40850C214yesmaximal, complemented
18#39781C212yesmaximal, complemented
19#39544C212yesmaximal, complemented
20#39498C211yesmaximal, characteristic, complemented
21#39479C211yesmaximal, characteristic, complemented
22#39250C212yesmaximal, complemented
23#39080C212yesmaximal, complemented
24#38966C211yesmaximal, characteristic, complemented
25#38932C211yesmaximal, characteristic, complemented
26#37636C211yesmaximal, characteristic, complemented
27#37624C211yesmaximal, characteristic, complemented
28#37597C212yesmaximal, complemented
29#37573C212yesmaximal, complemented
30#36459C211yesmaximal, characteristic, complemented
31#36301C211yesmaximal, characteristic, complemented
32#36210C211yesmaximal, characteristic, complemented
33#34978C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34797C211yesmaximal, characteristic, complemented
36#2864C2212yes—
37#2860C2212yes—
38#2859C2211yescharacteristic
39#2857C2211yescharacteristic
40#2857C2211yescharacteristic
41#2841C2214yes—
42#2838C2214yes—
43#2838C2214yes—
44#2837C2214yes—
45#2837C2214yes—
46#2837C2214yes—
47#2833C2214yes—
48#2832C2214yes—
49#2832C2214yes—
50#2831C2214yes—
51#2829C2214yes—
52#2829C2214yes—
53#2824C2214yes—
54#2813C2214yes—
55#2807C2214yes—
56#2801C2214yes—
57#2800C2214yes—
58#2799C2214yes—
59#2795C2214yes—
60#2794C2214yes—
61#2793C2214yes—
62#2790C2214yes—
63#2788C2214yes—
64#2781C2214yes—
65#2778C2214yes—
66#2777C2214yes—
67#2777C2214yes—
68#2776C2214yes—
69#2776C2214yes—
70#2775C2214yes—
71#2775C2214yes—
72#2773C2214yes—
73#2768C2214yes—
74#2764C2214yes—
75#2759C2214yes—
76#2758C2214yes—
77#2757C2214yes—
78#2754C2214yes—
79#2750C2214yes—
80#2747C2214yes—
81#2747C2214yes—
82#2745C2214yes—
83#2743C2214yes—
84#2740C2214yes—
85#2711C2214yes—
86#2710C2214yes—
87#2702C2214yes—
88#2694C2214yes—
89#2691C2214yes—
90#2687C2214yes—
91#2686C2214yes—
92#2666C2214yes—
93#2664C2214yes—
94#2662C2214yes—
95#2660C2212yes—
96#2655C2214yes—
97#2655C2214yes—
98#2654C2214yes—
99#2653C2214yes—
100#2651C2214yes—
101#2649C2214yes—
102#2649C2214yes—
103#2647C2212yes—
104#2647C2212yes—
105#2632C2214yes—
106#2629C2212yes—
107#2629C2212yes—
108#2628C2212yes—
109#2628C2212yes—
110#2628C2212yes—
111#2628C2212yes—
112#2624C2212yes—
113#2624C2212yes—
114#2624C2212yes—
115#2612C2214yes—
116#2601C2214yes—
117#2596C2214yes—
118#2595C2214yes—
119#2584C2212yes—
120#2584C2212yes—
121#2580C2212yes—
122#2575C2214yes—
123#2573C2214yes—
124#2571C2211yescharacteristic
125#2571C2211yescharacteristic
126#2570C2212yes—
127#2566C2212yes—
128#2563C2211yescharacteristic
129#2563C2211yescharacteristic
130#2562C2212yes—
131#2562C2212yes—
132#2562C2212yes—
133#2562C2212yes—
134#2560C2214yes—
135#2552C2211yescharacteristic
136#2552C2211yescharacteristic
137#2552C2212yes—
138#2552C2211yescharacteristic
139#2552C2211yescharacteristic
140#2551C2211yescharacteristic
141#2550C2212yes—
142#2550C2212yes—
143#2537C2211yescharacteristic
144#2537C2212yes—
145#2535C2212yes—
146#2532C2214yes—
147#2532C2212yes—
148#2531C2212yes—
149#2529C2212yes—
150#2527C2214yes—
151#2526C2212yes—
152#2525C2214yes—
153#2524C2214yes—
154#2523C2214yes—
155#2521C2214yes—
156#2518C2212yes—
157#2518C2212yes—
158#2514C2212yes—
159#2513C2211yescharacteristic
160#2512C2212yes—
161#2512C2211yescharacteristic
162#2509C2212yes—
163#2509C2212yes—
164#2509C2212yes—
165#2509C2212yes—
166#2509C2212yes—
167#2508C2212yes—
168#2508C2211yescharacteristic
169#2507C2211yescharacteristic
170#2506C2212yes—
171#2506C2212yes—
172#2504C2212yes—
173#2500C2211yescharacteristic
174#2500C2211yescharacteristic
175#2497C2212yes—
176#2497C2211yescharacteristic
177#2496C2212yes—
178#2496C2214yes—
179#2496C2212yes—
180#2495C2212yes—
181#2495C2212yes—
182#2495C2212yes—
183#2495C2212yes—
184#2495C2211yescharacteristic
185#2495C2212yes—
186#2495C2212yes—
187#2494C2212yes—
188#2494C2212yes—
189#2494C2212yes—
190#2494C2212yes—
191#2494C2212yes—
192#2494C2212yes—
193#2491C2212yes—
194#2491C2212yes—
195#2491C2211yescharacteristic
196#2490C2212yes—
197#2490C2212yes—
198#2490C2211yescharacteristic
199#2486C2212yes—
200#2485C2212yes—
201#2485C2212yes—
202#2485C2212yes—
203#2485C2212yes—
204#2485C2212yes—
205#2485C2212yes—
206#2485C2211yescharacteristic
207#2485C2211yescharacteristic
208#2479C2214yes—
209#2477C2214yes—
210#2476C2214yes—
211#2474C2214yes—
212#2469C2214yes—
213#2467C2212yes—
214#2462C2214yes—
215#2459C2212yes—
216#2458C2214yes—
217#2454C2212yes—
218#2454C2212yes—
219#2453C2214yes—
220#2448C2214yes—
221#2442C2212yes—
222#2442C2212yes—
223#2442C2212yes—
224#2441C2212yes—
225#2441C2212yes—
226#2441C2212yes—
227#2441C2212yes—
228#2441C2212yes—
229#2441C2211yescharacteristic
230#2441C2212yes—
231#2439C2211yescharacteristic
232#2439C2212yes—
233#2439C2212yes—
234#2439C2212yes—
235#2422C2212yes—
236#2421C2212yes—
237#2420C2212yes—
238#2416C2212yes—
239#2415C2212yes—
240#2414C2211yescharacteristic
241#2414C2212yes—
242#2414C2211yescharacteristic
243#2398C2212yes—
244#2396C2214yes—
245#2395C2212yes—
246#2392C2212yes—
247#2392C2212yes—
248#2370C2212yes—
249#2370C2212yes—
250#2369C2211yescharacteristic
251#2369C2211yescharacteristic
252#2363C2212yes—
253#2363C2212yes—
254#2362C2212yes—
255#2355C2212yes—
256#2354C2211yescharacteristic
257#2354C2211yescharacteristic
258#2354C2212yes—
259#2352C2212yes—
260#2352C2212yes—
261D4×C4⋊C4C2211yescharacteristic
262D4×C4⋊C4C2211yescharacteristic
263#2347C2214yes—
264#2347C2212yes—
265#2347C2212yes—
266#2345C2212yes—
267#2344C2212yes—
268#2334C2214yes—
269#2319C2212yes—
270#2317C2212yes—
271#2317C2212yes—
272#2314C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×#125C2212yes—
281C4×#126C2212yes—
282C4×#124C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic
290#2293C2212yes—
291#2293C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×#126C2312yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#125C2312yes—
307C2×#125C2312yes—
308C2×#125C2311yescharacteristic
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#124C2312yes—
314C2×#124C2314yes—
315C2×#123C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2312yes—
318C2×#121C2312yes—
319C2×#121C2312yes—
320C2×#121C2311yescharacteristic
321C2×#121C2311yescharacteristic
322C2×#121C2311yescharacteristic
323C2×#121C2311yescharacteristic
324C2×#121C2314yes—
325C2×C4×Q8C2312yes—
326C2×C4×Q8C2314yes—
327C2×C4×Q8C2312yes—
328C2×C4×D4C2311yescharacteristic
329C2×C4×D4C2311yescharacteristic
330C2×C4×D4C2311yescharacteristic
331C2×C4×D4C2312yes—
332C2×C4×D4C2312yes—
333C2×C4×D4C2312yes—
334C2×C4×D4C2312yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2311yescharacteristic
338C2×C4×D4C2311yescharacteristic
339C2×#117C2312yes—
340C2×#117C2312yes—
341C2×#117C2312yes—
342C2×#117C2312yes—
343C2×#117C2312yes—
344C2×#117C2314yes—
345C2×#117C2312yes—
346C2×#117C2311yescharacteristic
347C2×#117C2311yescharacteristic
348C2×#117C2311yescharacteristic
349C2×#117C2311yescharacteristic
350C2×#117C2312yes—
351C22×C4⋊C4C2312yes—
352C22×C4⋊C4C2312yes—
353C22×C42C2311yescharacteristic
354C22×C42C2311yescharacteristic
355#401C2314yes—
356#401C2314yes—
357#401C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2312yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2314yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2314yes—
379#400C2314yes—
380#400C2312yes—
381#400C2312yes—
382#399C2314yes—
383#399C2314yes—
384#399C2314yes—
385#399C2314yes—
386#399C2312yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#398C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2312yes—
396#398C2314yes—
397#398C2312yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2314yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2312yes—
409#398C2314yes—
410#397C2314yes—
411#397C2314yes—
412#397C2314yes—
413#397C2314yes—
414#397C2314yes—
415#397C2314yes—
416#397C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2312yes—
427#397C2312yes—
428#397C2314yes—
429#397C2312yes—
430#397C2312yes—
431#397C2312yes—
432#397C2312yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#396C2314yes—
440#396C2312yes—
441#396C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2312yes—
445#396C2312yes—
446#396C2314yes—
447#395C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2312yes—
459#394C2314yes—
460#394C2314yes—
461#394C2312yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2312yes—
472#394C2312yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2312yes—
483#393C2314yes—
484#393C2314yes—
485#393C2312yes—
486#392C2312yes—
487#392C2312yes—
488#392C2314yes—
489#391C2314yes—
490#391C2314yes—
491#391C2312yes—
492#391C2314yes—
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2312yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#390C2314yes—
501#390C2312yes—
502#390C2312yes—
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2314yes—
510#390C2314yes—
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2312yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2311yescharacteristic
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2314yes—
548#389C2312yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2314yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2314yes—
557#389C2314yes—
558#389C2311yescharacteristic
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#389C2314yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#388C2312yes—
576#388C2312yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2312yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
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#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#384C2312yes—
683#384C2311yescharacteristic
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#384C2311yescharacteristic
688#384C2314yes—
689#384C2311yescharacteristic
690#384C2312yes—
691#384C2311yescharacteristic
692#384C2311yescharacteristic
693#383C2312yes—
694#383C2314yes—
695#383C2314yes—
696#383C2314yes—
697#383C2314yes—
698#383C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2311yescharacteristic
706#382C2312yes—
707#382C2312yes—
708#382C2314yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2311yescharacteristic
714#381C2314yes—
715#381C2314yes—
716#381C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2311yescharacteristic
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2311yescharacteristic
747#380C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804#376C2312yes—
805#376C2312yes—
806#376C2312yes—
807C43C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C22×Q8C2412yes—
811C22×Q8C2414yes—
812C22×Q8C2412yes—
813C22×D4C2411yescharacteristic
814C22×D4C2411yescharacteristic
815C22×D4C2411yescharacteristic
816C22×D4C2412yes—
817C22×D4C2412yes—
818C22×D4C2412yes—
819C22×D4C2412yes—
820C22×D4C2414yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2414yes—
830C23×C4C2414yes—
831C4⋊Q8—24no—
832C4⋊Q8—42no—
833C4⋊Q8—44no—
834C4⋊Q8—44no—
835#126—44no—
836#126—48no—
837#126—84no—
838#125—44no—
839#125—44no—
840#125—44no—
841#125—44no—
842#125—44no—
843#125—42no—
844#125—84no—
845#124—44no—
846#124—84no—
847#123—84no—
848C22⋊Q8—44no—
849C22⋊Q8—82no—
850#121—42no—
851#121—42no—
852#121—44no—
853#121—42no—
854#121—42no—
855#121—44no—
856#121—84no—
857C4×Q8—44no—
858C4×Q8—84no—
859C4×Q8—82no—
860C4×D4—24no—
861C4×D4—24no—
862C4×D4—44no—
863C4×D4—44no—
864C4×D4—42no—
865C4×D4—44no—
866C4×D4—44no—
867C4×D4—44no—
868C4×D4—44no—
869C4×D4—42no—
870C4×D4—42no—
871#117—44no—
872#117—44no—
873#117—44no—
874#117—48no—
875#117—42no—
876#117—44no—
877#117—44no—
878#117—42no—
879#117—44no—
880#117—42no—
881#117—42no—
882#117—82no—
883C2×C4⋊C4—44no—
884C2×C4⋊C4—44no—
885C2×C4⋊C4C2411yescharacteristic
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2412yes—
888C2×C4⋊C4C2412yes—
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2411yescharacteristic
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2412yes—
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2411yescharacteristic
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2411yescharacteristic
898C2×C4⋊C4C2411yescharacteristic
899C2×C4⋊C4C2411yescharacteristic
900C2×C4⋊C4C2411yescharacteristic
901C2×C4⋊C4C2411yescharacteristic
902C2×C4⋊C4C2411yescharacteristic
903C2×C4⋊C4C2411yescharacteristic
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2412yes—
913C2×C4⋊C4C2412yes—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2411yescharacteristic
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2412yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2411yescharacteristic
961C2×C22⋊C4C2412yes—
962C2×C22⋊C4C2412yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2414yes—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2412yes—
967C2×C22⋊C4C2412yes—
968C2×C22⋊C4C2412yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2414yes—
973C2×C22⋊C4C2414yes—
974C2×C22⋊C4C2414yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2411yescharacteristic
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2411yescharacteristic
982C2×C22⋊C4C2411yescharacteristic
983C2×C22⋊C4C2412yes—
984C2×C22⋊C4C2411yescharacteristic
985C2×C22⋊C4C2411yescharacteristic
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C42—24no—
1016C2×C42—24no—
1017C2×C42C2411yescharacteristic
1018C2×C42C2412yes—
1019C2×C42C2411yescharacteristic
1020C2×C42C2412yes—
1021C2×C42C2412yes—
1022C2×C42C2412yes—
1023C2×C42C2412yes—
1024C2×C42C2412yes—
1025C2×C42C2412yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2411yescharacteristic
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030C2×C42C2411yescharacteristic
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2411yescharacteristic
1034C2×C42C2411yescharacteristic
1035C2×C42C2414yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2412yes—
1040C2×C42C2414yes—
1041C2×C42C2414yes—
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2412yes—
1047C2×C42C2412yes—
1048C2×C42C2414yes—
1049C2×C42C2414yes—
1050C2×C42C2411yescharacteristic
1051#95C2412yes—
1052#95C2412yes—
1053#95C2412yes—
1054#95C2412yes—
1055#95C2412yes—
1056#95C2412yes—
1057#95C2412yes—
1058#95C2412yes—
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2411yescharacteristic
1066#95C2411yescharacteristic
1067#95C2411yescharacteristic
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2414yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2412yes—
1078#95C2412yes—
1079#95C2412yes—
1080#95C2414yes—
1081#95C2412yes—
1082#95C2412yes—
1083#95C2414yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2414yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2412yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129C24C2512yes—
1130C24C2512yes—
1131C24C2511yescharacteristic
1132C24C2511yescharacteristic
1133C2×Q8—24no—
1134C2×Q8—42no—
1135C2×Q8—42no—
1136C2×Q8—44no—
1137C2×Q8—42no—
1138C2×Q8—42no—
1139C2×Q8—42no—
1140C2×Q8—44no—
1141C2×Q8—44no—
1142C2×D4—22no—
1143C2×D4—22no—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—42no—
1152C2×D4—42no—
1153C2×D4—42no—
1154C2×D4—42no—
1155C2×D4—42no—
1156C2×D4—42no—
1157C2×D4—42no—
1158C2×D4—42no—
1159C2×D4—42no—
1160C2×D4—42no—
1161C2×D4—42no—
1162C2×D4—42no—
1163C2×D4—44no—
1164C2×D4—44no—
1165C2×D4—44no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—24no—
1172C22×C4—24no—
1173C22×C4—24no—
1174C22×C4—24no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—24no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—24no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—41no—
1188C22×C4—44no—
1189C22×C4—44no—
1190C22×C4—41no—
1191C22×C4—44no—
1192C22×C4—41no—
1193C22×C4—44no—
1194C22×C4—44no—
1195C22×C4—44no—
1196C22×C4C2511yescharacteristic
1197C22×C4C2511yescharacteristic
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2512yes—
1201C22×C4C2512yes—
1202C22×C4C2512yes—
1203C22×C4C2514yes—
1204C22×C4C2511yescharacteristic
1205C22×C4C2512yes—
1206C22×C4C2511yescharacteristic
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2512yes—
1211C22×C4C2511yescharacteristic
1212C22×C4C2514yes—
1213C22×C4C2514yes—
1214C22×C4C2512yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2514yes—
1220C22×C4C2511yescharacteristic
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2511yescharacteristic
1225C22×C4C2511yescharacteristic
1226C22×C4C2511yescharacteristic
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—24no—
1230C4⋊C4—24no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—24no—
1234C4⋊C4—24no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—24no—
1238C4⋊C4—24no—
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—24no—
1242C4⋊C4—28no—
1243C4⋊C4—22no—
1244C4⋊C4—22no—
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—42no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—42no—
1257C4⋊C4—42no—
1258C4⋊C4—42no—
1259C4⋊C4—42no—
1260C4⋊C4—42no—
1261C4⋊C4—42no—
1262C4⋊C4—41no—
1263C4⋊C4—42no—
1264C4⋊C4—42no—
1265C4⋊C4—41no—
1266C4⋊C4—42no—
1267C4⋊C4—42no—
1268C4⋊C4—42no—
1269C4⋊C4—42no—
1270C4⋊C4—42no—
1271C4⋊C4—44no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—44no—
1276C4⋊C4—42no—
1277C4⋊C4—44no—
1278C4⋊C4—44no—
1279C4⋊C4—44no—
1280C4⋊C4—44no—
1281C4⋊C4—44no—
1282C4⋊C4—44no—
1283C4⋊C4—44no—
1284C4⋊C4—44no—
1285C4⋊C4—44no—
1286C4⋊C4—44no—
1287C4⋊C4—42no—
1288C4⋊C4—44no—
1289C4⋊C4—44no—
1290C4⋊C4—42no—
1291C4⋊C4—42no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—44no—
1295C4⋊C4—42no—
1296C4⋊C4—44no—
1297C4⋊C4—42no—
1298C4⋊C4—42no—
1299C4⋊C4—44no—
1300C4⋊C4—44no—
1301C22⋊C4—24no—
1302C22⋊C4—24no—
1303C22⋊C4—24no—
1304C22⋊C4—22no—
1305C22⋊C4—24no—
1306C22⋊C4—42no—
1307C22⋊C4—42no—
1308C22⋊C4—44no—
1309C22⋊C4—42no—
1310C22⋊C4—42no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—42no—
1319C22⋊C4—42no—
1320C22⋊C4—44no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—42no—
1324C22⋊C4—42no—
1325C22⋊C4—44no—
1326C22⋊C4—42no—
1327C22⋊C4—42no—
1328C22⋊C4—41no—
1329C22⋊C4—42no—
1330C22⋊C4—42no—
1331C22⋊C4—41no—
1332C22⋊C4—44no—
1333C22⋊C4—42no—
1334C22⋊C4—42no—
1335C22⋊C4—41no—
1336C22⋊C4—42no—
1337C22⋊C4—42no—
1338C22⋊C4—42no—
1339C22⋊C4—44no—
1340C22⋊C4—42no—
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—44no—
1352C22⋊C4—42no—
1353C22⋊C4—44no—
1354C22⋊C4—42no—
1355C22⋊C4—44no—
1356C22⋊C4—42no—
1357C42—22no—
1358C42—22no—
1359C42—22no—
1360C42—22no—
1361C42—22no—
1362C42—22no—
1363C42—22no—
1364C42—24no—
1365C42—24no—
1366C42—22no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—22no—
1373C42—22no—
1374C42—24no—
1375C42—44no—
1376C42—44no—
1377C42—42no—
1378C42—44no—
1379C42—42no—
1380C42—44no—
1381C42—42no—
1382C42—42no—
1383C42—44no—
1384C42—41no—
1385C42—42no—
1386C42—42no—
1387C42—41no—
1388C42—44no—
1389C42—44no—
1390C422−1+414yes—
1391C23—22no—
1392C23—22no—
1393C23—21no—
1394C23—21no—
1395C23—22no—
1396C23—22no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—22no—
1402C23—21no—
1403C23—21no—
1404C23—22no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23—22no—
1412C23—22no—
1413C23—22no—
1414C23—21no—
1415C23—21no—
1416C23—22no—
1417C23—21no—
1418C23—22no—
1419C23C2611yescharacteristic
1420Q8—84no—
1421Q8—84no—
1422Q8—88no—
1423D4—44no—
1424D4—44no—
1425D4—44no—
1426D4—84no—
1427D4—84no—
1428D4—84no—
1429D4—84no—
1430D4—164no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—22no—
1441C2×C4—22no—
1442C2×C4—24no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—21no—
1446C2×C4—22no—
1447C2×C4—22no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—21no—
1451C2×C4—22no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—21no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—22no—
1465C2×C4—21no—
1466C2×C4—22no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—22no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—21no—
1476C2×C4—22no—
1477C2×C4—21no—
1478C2×C4—24no—
1479C2×C4—24no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—24no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—24no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—22no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—24no—
1501C2×C4—22no—
1502C2×C4—24no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—48no—
1522C2×C4—48no—
1523C2×C4—82no—
1524C2×C4—88no—
1525C2×C4—164no—
1526C2×C4C2×2−1+412yes—
1527C2×C4C2×2−1+412yes—
1528C2×C4C2×2−1+412yes—
1529C2×C4#58512yes—
1530C2×C4#58512yes—
1531C2×C4#58512yes—
1532C2×C4#58512yes—
1533C2×C4#58512yes—
1534C22—42no—
1535C22—42no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22—41no—
1544C22—41no—
1545C22—42no—
1546C22—41no—
1547C22—42no—
1548C22—42no—
1549C22—41no—
1550C22—42no—
1551C22—41no—
1552C22—41no—
1553C22—42no—
1554C22—41no—
1555C22—42no—
1556C22—42no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—42no—
1561C22—42no—
1562C22C22×2−1+411yescharacteristic
1563C22C2×#58511yescharacteristic
1564C22C2×#58511yescharacteristic
1565C22C2×#58511yescharacteristic
1566C22C2×#58511yescharacteristic
1567C22C2×#58511yescharacteristic
1568C22H(7,𝔽2)11yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—42no—
1576C4—42no—
1577C4—42no—
1578C4—44no—
1579C4—42no—
1580C4—41no—
1581C4—42no—
1582C4—42no—
1583C4—42no—
1584C4—42no—
1585C4—41no—
1586C4—41no—
1587C4—42no—
1588C4—44no—
1589C4—42no—
1590C4—42no—
1591C4—41no—
1592C4—42no—
1593C4—44no—
1594C4—42no—
1595C4—42no—
1596C4—41no—
1597C4—44no—
1598C4#356514yes—
1599C4#356514yes—
1600C2—81no—
1601C2—81no—
1602C2—82no—
1603C2—82no—
1604C2C2×#356511yescharacteristic
1605C2C2×#356511yescharacteristic
1606C2#6276211yescharacteristic
1607C2#6293711yescharacteristic
1608C2#6293811yescharacteristic
1609C2#6295811yescharacteristic
1610C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59710C2semidirect
2. #59665C2semidirect
3. #59432C2semidirect
4. #59217C2semidirect
5. #59212C2semidirect
6. #57066C2semidirect
7. #55984C2semidirect
8. #53135C2semidirect
9. #53075C2semidirect
10. #53072C2semidirect
11. #53062C2semidirect
12. #52558C2semidirect
13. #42947C2semidirect
14. #42693C2semidirect
15. #42686C2semidirect
16. #42662C2semidirect
17. #40850C2semidirect
18. #39781C2semidirect
19. #39544C2semidirect
20. #39498C2semidirect
21. #39479C2semidirect
22. #39250C2semidirect
23. #39080C2semidirect
24. #38966C2semidirect
25. #38932C2semidirect
26. #37636C2semidirect
27. #37624C2semidirect
28. #37597C2semidirect
29. #37573C2semidirect
30. #36459C2semidirect
31. #36301C2semidirect
32. #36210C2semidirect
33. #34978C2semidirect
34. #34800C2semidirect
35. #34797C2semidirect

Maximal subgroups

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

subgroupindex
#597102
#596652
#594322
#592172
#592122
#570662
#559842
#531352
#530752
#530722
#530622
#525582
#429472
#426932
#426862
#426622
#408502
#397812
#395442
#394982
#394792
#392502
#390802
#389662
#389322
#376362
#376242
#375972
#375732
#364592
#363012
#362102
#349782
#348002
#347972