Finite Group Databasebeta

← #7732058

Subgroups — #7732058

Order 512.

4504 conjugacy classes of subgroups.

The subgroup lattice has 1593 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#48879C214yesmaximal, complemented
2#48877C214yesmaximal, complemented
3#47778C214yesmaximal, complemented
4#47777C214yesmaximal, complemented
5#45328C212yesmaximal, complemented
6#45254C212yesmaximal
7#44958C212yesmaximal
8#44956C212yesmaximal, complemented
9#39819C212yesmaximal, complemented
10#39801C212yesmaximal, complemented
11#39800C212yesmaximal, complemented
12#39769C211yesmaximal, characteristic, complemented
13#39754C212yesmaximal, complemented
14#39749C212yesmaximal, complemented
15#39385C211yesmaximal, characteristic, complemented
16#39283C212yesmaximal, complemented
17#39203C211yesmaximal, characteristic, complemented
18#38986C211yesmaximal, characteristic, complemented
19#38287C212yesmaximal, complemented
20#37793C212yesmaximal, complemented
21#37615C211yesmaximal, characteristic
22#37400C212yesmaximal, complemented
23#37398C212yesmaximal, complemented
24#36598C211yesmaximal, characteristic, complemented
25#36476C211yesmaximal, characteristic, complemented
26#36286C211yesmaximal, characteristic, complemented
27#36134C211yesmaximal, characteristic, complemented
28#35671C212yesmaximal, complemented
29#35665C212yesmaximal, complemented
30#35281C211yesmaximal, characteristic, complemented
31#35201C211yesmaximal, characteristic
32#34912C211yesmaximal, characteristic, complemented
33#34394C211yesmaximal, characteristic, complemented
34#34209C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic
36C2×#541C2212yes—
37C2×#533C2211yescharacteristic
38C2×#533C2212yes—
39C22×C4⋊Q8C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#519C2212yes—
42#2868C2211yescharacteristic
43#2868C2211yescharacteristic
44#2863C2212yes—
45#2862C2212yes—
46#2862C2211yescharacteristic
47#2862C2211yescharacteristic
48#2861C2212yes—
49#2859C2212yes—
50#2857C2212yes—
51#2855C2212yes—
52#2821C2214yes—
53#2809C2214yes—
54#2806C2214yes—
55#2805C2214yes—
56#2802C2214yes—
57#2802C2214yes—
58#2798C2214yes—
59#2794C2214yes—
60#2794C2214yes—
61#2789C2214yes—
62#2788C2214yes—
63#2787C2214yes—
64#2783C2214yes—
65#2777C2214yes—
66#2776C2214yes—
67#2775C2214yes—
68#2775C2214yes—
69#2774C2214yes—
70#2774C2214yes—
71#2772C2214yes—
72#2771C2214yes—
73#2770C2214yes—
74#2769C2214yes—
75#2766C2214yes—
76#2765C2214yes—
77#2765C2214yes—
78#2764C2214yes—
79#2761C2214yes—
80#2759C2214yes—
81#2758C2214yes—
82#2754C2214yes—
83#2751C2214yes—
84#2750C2214yes—
85#2745C2214yes—
86#2743C2214yes—
87#2726C2214yes—
88#2721C2214yes—
89#2721C2214yes—
90#2719C2214yes—
91#2698C2214yes—
92#2689C2214yes—
93#2663C2214yes—
94#2660C2212yes—
95#2660C2212yes—
96#2660C2212yes—
97#2645C2212yes—
98#2642C2212yes—
99#2640C2212yes—
100#2625C2212yes—
101#2623C2214yes—
102#2621C2212yes—
103#2621C2212yes—
104#2621C2212yes—
105#2612C2214yes—
106#2611C2214yes—
107#2609C2214yes—
108#2608C2212yes—
109#2607C2212yes—
110#2607C2214yes—
111#2606C2212yes—
112#2606C2214yes—
113#2605C2212yes—
114#2605C2214yes—
115#2604C2214yes—
116#2604C2214yes—
117#2601C2214yes—
118#2599C2214yes—
119#2599C2214yes—
120#2596C2214yes—
121#2594C2214yes—
122#2590C2214yes—
123#2590C2214yes—
124#2589C2214yes—
125#2588C2214yes—
126#2585C2214yes—
127#2584C2214yes—
128#2582C2212yes—
129#2581C2212yes—
130#2581C2214yes—
131#2580C2212yes—
132#2577C2214yes—
133#2571C2212yes—
134#2571C2212yes—
135#2571C2212yes—
136#2570C2212yes—
137#2570C2212yes—
138#2570C2212yes—
139#2570C2212yes—
140#2570C2212yes—
141#2570C2212yes—
142#2570C2211yescharacteristic
143#2570C2211yescharacteristic
144#2570C2214yes—
145#2568C2211yescharacteristic
146#2568C2211yescharacteristic
147#2568C2211yescharacteristic
148#2567C2211yescharacteristic
149#2567C2212yes—
150#2567C2212yes—
151#2563C2211yescharacteristic
152#2552C2212yes—
153#2552C2212yes—
154#2552C2212yes—
155#2550C2211yescharacteristic
156#2550C2211yescharacteristic
157#2546C2212yes—
158#2546C2212yes—
159#2542C2211yescharacteristic
160#2542C2211yescharacteristic
161#2542C2211yescharacteristic
162#2538C2212yes—
163#2532C2214yes—
164#2530C2214yes—
165#2529C2214yes—
166#2514C2212yes—
167#2514C2212yes—
168#2514C2212yes—
169#2513C2212yes—
170#2513C2212yes—
171#2512C2212yes—
172#2512C2212yes—
173#2511C2212yes—
174#2511C2212yes—
175#2511C2212yes—
176#2511C2214yes—
177#2508C2214yes—
178#2504C2212yes—
179#2502C2212yes—
180#2502C2212yes—
181#2502C2212yes—
182#2500C2212yes—
183#2499C2212yes—
184#2492C2212yes—
185#2489C2212yes—
186#2479C2214yes—
187#2478C2214yes—
188#2478C2214yes—
189#2477C2214yes—
190#2475C2214yes—
191#2475C2214yes—
192#2469C2214yes—
193#2465C2214yes—
194#2462C2214yes—
195#2462C2214yes—
196#2462C2214yes—
197#2453C2212yes—
198#2453C2214yes—
199#2451C2212yes—
200#2446C2212yes—
201#2446C2212yes—
202#2446C2212yes—
203#2446C2212yes—
204#2441C2211yescharacteristic
205#2441C2214yes—
206#2441C2211yescharacteristic
207#2439C2211yescharacteristic
208#2439C2211yescharacteristic
209#2434C2212yes—
210#2434C2212yes—
211#2429C2212yes—
212#2429C2212yes—
213#2429C2212yes—
214#2429C2212yes—
215#2423C2214yes—
216#2423C2212yes—
217#2421C2212yes—
218#2415C2212yes—
219#2415C2212yes—
220#2409C2212yes—
221#2409C2212yes—
222#2396C2212yes—
223#2396C2212yes—
224#2378C2214yes—
225#2369C2211yescharacteristic
226#2369C2211yescharacteristic
227#2365C2211yescharacteristic
228#2365C2211yescharacteristic
229#2365C2211yescharacteristic
230#2365C2211yescharacteristic
231#2365C2211yescharacteristic
232#2365C2212yes—
233#2365C2212yes—
234#2365C2211yescharacteristic
235#2357C2212yes—
236#2356C2212yes—
237#2356C2212yes—
238#2355C2212yes—
239#2355C2212yes—
240#2355C2212yes—
241#2355C2212yes—
242#2354C2212yes—
243#2351C2212yes—
244Q8×C4⋊C4C2212yes—
245#2347C2212yes—
246#2346C2212yes—
247#2344C2212yes—
248#2344C2212yes—
249#2344C2214yes—
250#2335C2212yes—
251#2335C2212yes—
252#2334C2212yes—
253#2334C2212yes—
254#2330C2211yescharacteristic
255#2330C2211yescharacteristic
256#2330C2212yes—
257#2330C2212yes—
258#2327C2212yes—
259#2327C2214yes—
260#2326C2211yescharacteristic
261#2326C2211yescharacteristic
262#2324C2211yescharacteristic
263#2324C2211yescharacteristic
264#2323C2211yescharacteristic
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2211yescharacteristic
269#2323C2212yes—
270#2323C2212yes—
271#2320C2212yes—
272#2320C2214yes—
273#2317C2212yes—
274#2317C2212yes—
275#2310C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2212yes—
278C4×C4⋊Q8C2212yes—
279C4×C4⋊Q8C2212yes—
280C4×C4⋊Q8C2211yescharacteristic
281C4×#125C2211yescharacteristic
282C4×#125C2211yescharacteristic
283C4×C22⋊Q8C2212yes—
284#2298C2212yes—
285#2296C2212yes—
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2295C2212yes—
290#2293C2212yes—
291#2293C2211yescharacteristic
292#2290C2212yes—
293#2285C2211yescharacteristic
294#2283C2211yescharacteristic
295C42×Q8C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C23×Q8C2312yes—
300#541—48no—
301#533—28no—
302#533—48no—
303C2×C4⋊Q8—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317#529—28no—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2314yes—
326C2×#125C2314yes—
327C2×#125C2314yes—
328C2×#124C2311yescharacteristic
329C2×#123C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2311yescharacteristic
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2311yescharacteristic
341#519—48no—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2314yes—
354C2×C4×Q8C2314yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2312yes—
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2312yes—
365C2×#117C2312yes—
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2314yes—
371C2×#117C2314yes—
372C2×#117C2314yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C42C2312yes—
376C22×C42C2311yescharacteristic
377#401C2314yes—
378#401C2314yes—
379#400C2314yes—
380#400C2314yes—
381#400C2314yes—
382#400C2314yes—
383#400C2314yes—
384#400C2314yes—
385#400C2312yes—
386#400C2312yes—
387#400C2314yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#399C2314yes—
404#399C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2312yes—
409#398C2314yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2312yes—
416#398C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
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#396C2314yes—
448#396C2312yes—
449#396C2314yes—
450#396C2312yes—
451#396C2312yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#395C2314yes—
463#395C2312yes—
464#395C2312yes—
465#394C2314yes—
466#394C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2312yes—
472#393C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2314yes—
505#391C2314yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2314yes—
510#391C2314yes—
511#391C2312yes—
512#391C2312yes—
513#390C2312yes—
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#389C2311yescharacteristic
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2314yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2314yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#389C2314yes—
553#389C2312yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2314yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2312yes—
574#389C2314yes—
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2314yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2314yes—
618#387C2314yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2312yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2312yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2312yes—
672#387C2312yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2312yes—
702#384C2312yes—
703#384C2312yes—
704#384C2312yes—
705#384C2312yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#383C2312yes—
714#383C2314yes—
715#383C2314yes—
716#383C2314yes—
717#383C2314yes—
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2312yes—
721#382C2312yes—
722#382C2312yes—
723#382C2312yes—
724#382C2312yes—
725#382C2314yes—
726#382C2312yes—
727#382C2312yes—
728#382C2314yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#382C2312yes—
732#382C2314yes—
733#382C2314yes—
734#382C2312yes—
735#382C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805#376C2312yes—
806#376C2314yes—
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812C43C2311yescharacteristic
813C43C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C22×Q8—28no—
817C22×Q8—44no—
818C22×Q8—44no—
819C22×Q8C2412yes—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2412yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C4⋊Q8—24no—
837C4⋊Q8—28no—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—28no—
841C4⋊Q8—28no—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—42no—
845C4⋊Q8—44no—
846C4⋊Q8—44no—
847C4⋊Q8—44no—
848C4⋊Q8—44no—
849#126—28no—
850#126—48no—
851#126—48no—
852#125—24no—
853#125—24no—
854#125—28no—
855#125—42no—
856#125—48no—
857#125—48no—
858#125—48no—
859#124—24no—
860#123—28no—
861C22⋊Q8—24no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—48no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869C22⋊Q8—44no—
870C22⋊Q8—44no—
871#121—24no—
872C4×Q8—28no—
873C4×Q8—28no—
874C4×Q8—24no—
875C4×Q8—28no—
876C4×Q8—28no—
877C4×Q8—28no—
878C4×Q8—24no—
879C4×Q8—24no—
880C4×Q8—28no—
881C4×Q8—48no—
882C4×Q8—48no—
883C4×Q8—44no—
884C4×Q8—44no—
885C4×Q8—44no—
886C4×Q8—48no—
887C4×Q8—44no—
888C4×D4—28no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—24no—
892#117—28no—
893#117—24no—
894#117—28no—
895#117—24no—
896#117—24no—
897#117—44no—
898#117—44no—
899#117—48no—
900#117—48no—
901#117—48no—
902#117—42no—
903C2×C4⋊C4—28no—
904C2×C4⋊C4—28no—
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2412yes—
907C2×C4⋊C4C2414yes—
908C2×C4⋊C4C2412yes—
909C2×C4⋊C4C2412yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2411yescharacteristic
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2411yescharacteristic
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2411yescharacteristic
919C2×C4⋊C4C2412yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2411yescharacteristic
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2411yescharacteristic
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2411yescharacteristic
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C22⋊C4C2412yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2412yes—
996C2×C22⋊C4C2411yescharacteristic
997C2×C22⋊C4C2411yescharacteristic
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C42—44no—
1022C2×C42#4118yes—
1023C2×C42C2412yes—
1024C2×C42C2414yes—
1025C2×C42C2411yescharacteristic
1026C2×C42C2412yes—
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2414yes—
1030C2×C42C2414yes—
1031C2×C42C2411yescharacteristic
1032C2×C42C2411yescharacteristic
1033C2×C42C2412yes—
1034C2×C42C2412yes—
1035C2×C42C2412yes—
1036C2×C42C2412yes—
1037C2×C42C2412yes—
1038C2×C42C2412yes—
1039C2×C42C2411yescharacteristic
1040C2×C42C2411yescharacteristic
1041C2×C42C2411yescharacteristic
1042C2×C42C2414yes—
1043C2×C42C2414yes—
1044C2×C42C2414yes—
1045C2×C42C2412yes—
1046C2×C42C2412yes—
1047C2×C42C2414yes—
1048C2×C42C2412yes—
1049C2×C42C2411yescharacteristic
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2412yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2412yes—
1057C2×C42C2414yes—
1058C2×C42C2414yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2411yescharacteristic
1069#95C2411yescharacteristic
1070#95C2411yescharacteristic
1071#95C2411yescharacteristic
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2411yescharacteristic
1077#95C2411yescharacteristic
1078#95C2411yescharacteristic
1079#95C2411yescharacteristic
1080#95C2412yes—
1081#95C2412yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2414yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153C24C2512yes—
1154C24C2511yescharacteristic
1155C2×Q8—22no—
1156C2×Q8—24no—
1157C2×Q8—28no—
1158C2×Q8—24no—
1159C2×Q8—24no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—24no—
1169C2×Q8—24no—
1170C2×Q8—24no—
1171C2×Q8—24no—
1172C2×Q8—44no—
1173C2×Q8—44no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—432no—
1180C2×D4—24no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—42no—
1185C2×D4—42no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—28no—
1191C22×C4—24no—
1192C22×C4—24no—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—42no—
1197C22×C4—44no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—42no—
1201C22×C4—44no—
1202C22×C4—42no—
1203C22×C4—42no—
1204C22×C4C2×#4114yes—
1205C22×C4C2×#4114yes—
1206C22×C4C2×#4114yes—
1207C22×C4C2512yes—
1208C22×C4C2512yes—
1209C22×C4C2512yes—
1210C22×C4C2511yescharacteristic
1211C22×C4C2511yescharacteristic
1212C22×C4C2512yes—
1213C22×C4C2512yes—
1214C22×C4C2514yes—
1215C22×C4C2512yes—
1216C22×C4C2512yes—
1217C22×C4C2512yes—
1218C22×C4C2512yes—
1219C22×C4C2512yes—
1220C22×C4C2512yes—
1221C22×C4C2512yes—
1222C22×C4C2511yescharacteristic
1223C22×C4C2511yescharacteristic
1224C22×C4C2512yes—
1225C22×C4C2514yes—
1226C22×C4C2514yes—
1227C22×C4C2514yes—
1228C22×C4C2512yes—
1229C22×C4C2511yescharacteristic
1230C22×C4C2511yescharacteristic
1231C22×C4C2511yescharacteristic
1232C22×C4C2511yescharacteristic
1233C22×C4C2512yes—
1234C22×C4C2511yescharacteristic
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2511yescharacteristic
1240C4⋊C4—28no—
1241C4⋊C4—28no—
1242C4⋊C4—24no—
1243C4⋊C4—24no—
1244C4⋊C4—24no—
1245C4⋊C4—24no—
1246C4⋊C4—24no—
1247C4⋊C4—24no—
1248C4⋊C4—24no—
1249C4⋊C4—24no—
1250C4⋊C4—22no—
1251C4⋊C4—24no—
1252C4⋊C4—22no—
1253C4⋊C4—28no—
1254C4⋊C4—28no—
1255C4⋊C4—24no—
1256C4⋊C4—24no—
1257C4⋊C4—24no—
1258C4⋊C4—22no—
1259C4⋊C4—24no—
1260C4⋊C4—28no—
1261C4⋊C4—28no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—28no—
1265C4⋊C4—24no—
1266C4⋊C4—24no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—24no—
1274C4⋊C4—24no—
1275C4⋊C4—24no—
1276C4⋊C4—22no—
1277C4⋊C4—22no—
1278C4⋊C4—24no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—24no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—22no—
1286C4⋊C4—22no—
1287C4⋊C4—42no—
1288C4⋊C4—42no—
1289C4⋊C4—42no—
1290C4⋊C4—42no—
1291C4⋊C4—44no—
1292C4⋊C4—42no—
1293C4⋊C4—42no—
1294C4⋊C4—42no—
1295C4⋊C4—42no—
1296C4⋊C4—42no—
1297C4⋊C4—44no—
1298C4⋊C4—44no—
1299C4⋊C4—44no—
1300C4⋊C4—42no—
1301C4⋊C4—42no—
1302C4⋊C4—42no—
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—44no—
1312C4⋊C4—44no—
1313C4⋊C4—44no—
1314C4⋊C4—44no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—44no—
1319C4⋊C4—44no—
1320C4⋊C4—42no—
1321C4⋊C4—44no—
1322C4⋊C4—44no—
1323C4⋊C4—44no—
1324C4⋊C4—44no—
1325C4⋊C4H(5,𝔽2)14yes—
1326C22⋊C4—28no—
1327C22⋊C4—24no—
1328C22⋊C4—24no—
1329C22⋊C4—24no—
1330C22⋊C4—24no—
1331C22⋊C4—24no—
1332C22⋊C4—24no—
1333C22⋊C4—28no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—24no—
1339C22⋊C4—24no—
1340C22⋊C4—42no—
1341C22⋊C4—42no—
1342C22⋊C4—42no—
1343C22⋊C4—42no—
1344C22⋊C4—44no—
1345C22⋊C4—44no—
1346C22⋊C4—42no—
1347C22⋊C4—42no—
1348C22⋊C4—42no—
1349C22⋊C4—44no—
1350C22⋊C4—42no—
1351C22⋊C4—42no—
1352C22⋊C4—44no—
1353C22⋊C4—44no—
1354C22⋊C4—44no—
1355C22⋊C4—44no—
1356C42—24no—
1357C42—28no—
1358C42—22no—
1359C42—24no—
1360C42—24no—
1361C42—28no—
1362C42—24no—
1363C42—22no—
1364C42—28no—
1365C42—22no—
1366C42—22no—
1367C42—24no—
1368C42—24no—
1369C42—24no—
1370C42—24no—
1371C42—24no—
1372C42—24no—
1373C42—22no—
1374C42—22no—
1375C42—42no—
1376C42—42no—
1377C42—41no—
1378C42—42no—
1379C42—41no—
1380C42—42no—
1381C42—42no—
1382C42—42no—
1383C42—41no—
1384C42—41no—
1385C42—44no—
1386C42—44no—
1387C42—42no—
1388C42—44no—
1389C42—44no—
1390C42—44no—
1391C42—44no—
1392C42C2×#4114yes—
1393C42C2×#4114yes—
1394C42C2×#4114yes—
1395C42C2×#4114yes—
1396C422−1+414yes—
1397C422−1+414yes—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—22no—
1405C23—22no—
1406C23—22no—
1407C23—22no—
1408C23—22no—
1409C23—22no—
1410C23—22no—
1411C23C22×#4112yes—
1412C23C2611yescharacteristic
1413Q8—48no—
1414Q8—416no—
1415Q8—48no—
1416Q8—48no—
1417Q8—48no—
1418Q8—44no—
1419Q8—84no—
1420Q8—84no—
1421D4—44no—
1422D4—84no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—22no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—28no—
1442C2×C4—28no—
1443C2×C4—22no—
1444C2×C4—22no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—22no—
1448C2×C4—24no—
1449C2×C4—24no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—24no—
1456C2×C4—24no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—24no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—24no—
1487C2×C4—24no—
1488C2×C4—24no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—24no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—44no—
1510C2×C4—48no—
1511C2×C4—416no—
1512C2×C4—48no—
1513C2×C4—84no—
1514C2×C4C22×#4112yes—
1515C2×C4C22×#4112yes—
1516C2×C4C22×#4112yes—
1517C2×C4C22×#4112yes—
1518C2×C4C22×#4112yes—
1519C2×C4C22×#4112yes—
1520C2×C4C2×H(5,𝔽2)14yes—
1521C2×C4C2×H(5,𝔽2)12yes—
1522C2×C4C2×2−1+412yes—
1523C2×C4C2×2−1+412yes—
1524C2×C4C2×2−1+412yes—
1525C2×C4C2×2−1+412yes—
1526C2×C4C2×2−1+412yes—
1527C2×C4C2×2−1+412yes—
1528C2×C4#58512yes—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—42no—
1537C22—42no—
1538C22—42no—
1539C22—42no—
1540C22—42no—
1541C22—42no—
1542C22—42no—
1543C22C23×#4111yescharacteristic
1544C22C22×H(5,𝔽2)11yescharacteristic
1545C22C22×2−1+411yescharacteristic
1546C22C22×2−1+411yescharacteristic
1547C22C2×#58511yescharacteristic
1548C222−1+611yescharacteristic
1549C222−1+611yescharacteristic
1550C4—22no—
1551C4—22no—
1552C4—22no—
1553C4—22no—
1554C4—22no—
1555C4—22no—
1556C4—24no—
1557C4—22no—
1558C4—22no—
1559C4—42no—
1560C4—44no—
1561C4—44no—
1562C4—44no—
1563C4—42no—
1564C4—42no—
1565C4—44no—
1566C4—42no—
1567C4—42no—
1568C4—41no—
1569C4—42no—
1570C4—42no—
1571C4—42no—
1572C4—41no—
1573C4—42no—
1574C4—42no—
1575C4—41no—
1576C4—42no—
1577C4—42no—
1578C4—41no—
1579C4—42no—
1580C4—42no—
1581C4#350614yes—
1582C4#350914yes—
1583C2—42no—
1584C2—82no—
1585C2C2×#350611yescharacteristic
1586C2C2×#350911yescharacteristic
1587C2#6286011yescharacteristic
1588C2#6291311yescharacteristic
1589C2#6291511yescharacteristic
1590C2#6295611yescharacteristic
1591C2#6295911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #48879C2semidirect
2. #48877C2semidirect
3. #47778C2semidirect
4. #47777C2semidirect
5. #45328C2semidirect
8. #44956C2semidirect
9. #39819C2semidirect
10. #39801C2semidirect
11. #39800C2semidirect
12. #39769C2semidirect
13. #39754C2semidirect
14. #39749C2semidirect
15. #39385C2semidirect
16. #39283C2semidirect
17. #39203C2semidirect
18. #38986C2semidirect
19. #38287C2semidirect
20. #37793C2semidirect
22. #37400C2semidirect
23. #37398C2semidirect
24. #36598C2semidirect
25. #36476C2semidirect
26. #36286C2semidirect
27. #36134C2semidirect
28. #35671C2semidirect
29. #35665C2semidirect
30. #35281C2semidirect
32. #34912C2semidirect
33. #34394C2semidirect
34. #34209C2semidirect

Maximal subgroups

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

subgroupindex
#488792
#488772
#477782
#477772
#453282
#452542
#449582
#449562
#398192
#398012
#398002
#397692
#397542
#397492
#393852
#392832
#392032
#389862
#382872
#377932
#376152
#374002
#373982
#365982
#364762
#362862
#361342
#356712
#356652
#352812
#352012
#349122
#343942
#342092
#340842