Finite Group Databasebeta

← #8429446

Subgroups — #8429446

Order 512.

4410 conjugacy classes of subgroups.

The subgroup lattice has 1671 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59768C212yesmaximal, complemented
3#59477C212yesmaximal, complemented
4#59134C211yesmaximal, characteristic, complemented
5#59042C211yesmaximal, characteristic, complemented
6#57422C214yesmaximal, complemented
7#54248C214yesmaximal, complemented
8#53144C212yesmaximal, complemented
9#53137C212yesmaximal, complemented
10#53087C212yesmaximal, complemented
11#53054C212yesmaximal, complemented
12#52513C214yesmaximal, complemented
13#42937C212yesmaximal, complemented
14#42869C212yesmaximal, complemented
15#42717C212yesmaximal, complemented
16#42690C212yesmaximal, complemented
17#40769C214yesmaximal, complemented
18#39809C212yesmaximal, complemented
19#39666C212yesmaximal, complemented
20#39248C212yesmaximal, complemented
21#39167C211yesmaximal, characteristic, complemented
22#39156C211yesmaximal, characteristic, complemented
23#39043C212yesmaximal, complemented
24#38984C211yesmaximal, characteristic, complemented
25#38911C211yesmaximal, characteristic, complemented
26#37630C211yesmaximal, characteristic, complemented
27#37617C211yesmaximal, characteristic, complemented
28#37581C212yesmaximal, complemented
29#37509C212yesmaximal, complemented
30#36405C211yesmaximal, characteristic, complemented
31#36315C211yesmaximal, characteristic, complemented
32#36129C211yesmaximal, characteristic, complemented
33#34979C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic
36C2×#556C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C22×C4⋊Q8C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2862C2211yescharacteristic
43#2861C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2855C2212yes—
47#2839C2214yes—
48#2838C2214yes—
49#2838C2214yes—
50#2835C2214yes—
51#2832C2214yes—
52#2832C2214yes—
53#2832C2214yes—
54#2831C2214yes—
55#2829C2214yes—
56#2829C2214yes—
57#2827C2214yes—
58#2826C2214yes—
59#2824C2214yes—
60#2821C2214yes—
61#2808C2214yes—
62#2808C2214yes—
63#2807C2214yes—
64#2804C2214yes—
65#2798C2214yes—
66#2796C2214yes—
67#2784C2214yes—
68#2782C2214yes—
69#2780C2214yes—
70#2778C2214yes—
71#2778C2214yes—
72#2777C2214yes—
73#2777C2214yes—
74#2774C2214yes—
75#2773C2214yes—
76#2772C2214yes—
77#2771C2214yes—
78#2767C2214yes—
79#2763C2214yes—
80#2762C2214yes—
81#2762C2214yes—
82#2756C2214yes—
83#2755C2214yes—
84#2753C2214yes—
85#2752C2214yes—
86#2751C2214yes—
87#2751C2214yes—
88#2746C2214yes—
89#2745C2214yes—
90#2742C2214yes—
91#2740C2214yes—
92#2723C2214yes—
93#2723C2214yes—
94#2716C2214yes—
95#2690C2214yes—
96#2689C2214yes—
97#2687C2214yes—
98#2665C2214yes—
99#2658C2212yes—
100#2655C2214yes—
101#2655C2214yes—
102#2654C2214yes—
103#2653C2214yes—
104#2652C2214yes—
105#2650C2214yes—
106#2650C2214yes—
107#2650C2214yes—
108#2648C2214yes—
109#2647C2212yes—
110#2645C2212yes—
111#2645C2212yes—
112#2645C2212yes—
113#2644C2212yes—
114#2642C2212yes—
115#2642C2212yes—
116#2640C2212yes—
117#2628C2212yes—
118#2628C2212yes—
119#2625C2212yes—
120#2623C2214yes—
121#2611C2214yes—
122#2605C2214yes—
123#2596C2214yes—
124#2596C2214yes—
125#2595C2214yes—
126#2592C2212yes—
127#2592C2212yes—
128#2589C2214yes—
129#2588C2214yes—
130#2586C2214yes—
131#2582C2211yescharacteristic
132#2581C2212yes—
133#2575C2214yes—
134#2574C2214yes—
135#2572C2214yes—
136#2568C2212yes—
137#2568C2211yescharacteristic
138#2568C2211yescharacteristic
139#2567C2212yes—
140#2563C2212yes—
141#2559C2214yes—
142#2552C2211yescharacteristic
143#2550C2212yes—
144#2550C2212yes—
145#2548C2212yes—
146#2547C2211yescharacteristic
147#2547C2211yescharacteristic
148#2547C2211yescharacteristic
149#2546C2211yescharacteristic
150#2546C2211yescharacteristic
151#2545C2212yes—
152#2544C2212yes—
153#2542C2211yescharacteristic
154#2538C2212yes—
155#2536C2212yes—
156#2533C2212yes—
157#2531C2214yes—
158#2530C2214yes—
159#2529C2214yes—
160#2527C2214yes—
161#2527C2212yes—
162#2523C2212yes—
163#2522C2214yes—
164#2514C2212yes—
165#2514C2211yescharacteristic
166#2513C2214yes—
167#2511C2212yes—
168#2511C2212yes—
169#2509C2212yes—
170#2509C2214yes—
171#2509C2211yescharacteristic
172#2499C2212yes—
173#2499C2212yes—
174#2499C2211yescharacteristic
175#2497C2212yes—
176#2497C2212yes—
177#2496C2211yescharacteristic
178#2492C2212yes—
179#2492C2212yes—
180#2492C2212yes—
181#2492C2212yes—
182#2492C2211yescharacteristic
183#2490C2212yes—
184#2489C2212yes—
185#2487C2212yes—
186#2487C2212yes—
187#2485C2212yes—
188#2485C2212yes—
189#2485C2212yes—
190#2485C2212yes—
191#2485C2211yescharacteristic
192#2481C2214yes—
193#2479C2212yes—
194#2478C2214yes—
195#2477C2214yes—
196#2471C2212yes—
197#2468C2214yes—
198#2467C2212yes—
199#2466C2212yes—
200#2456C2212yes—
201#2454C2211yescharacteristic
202#2453C2212yes—
203#2451C2212yes—
204#2451C2212yes—
205#2451C2212yes—
206#2448C2211yescharacteristic
207#2447C2212yes—
208#2447C2212yes—
209#2446C2212yes—
210#2446C2212yes—
211#2446C2212yes—
212#2446C2212yes—
213#2442C2212yes—
214#2441C2211yescharacteristic
215#2439C2212yes—
216#2439C2211yescharacteristic
217#2439C2212yes—
218#2436C2212yes—
219#2436C2212yes—
220#2434C2212yes—
221#2432C2212yes—
222#2432C2212yes—
223#2431C2211yescharacteristic
224#2429C2212yes—
225#2428C2211yescharacteristic
226#2427C2212yes—
227#2426C2212yes—
228#2423C2211yescharacteristic
229#2421C2212yes—
230#2421C2212yes—
231#2420C2212yes—
232#2417C2212yes—
233#2417C2212yes—
234#2415C2212yes—
235#2415C2212yes—
236#2415C2212yes—
237#2415C2212yes—
238#2415C2212yes—
239#2415C2212yes—
240#2415C2211yescharacteristic
241#2415C2212yes—
242#2414C2211yescharacteristic
243#2409C2212yes—
244#2409C2212yes—
245#2409C2212yes—
246#2409C2212yes—
247#2409C2212yes—
248#2407C2211yescharacteristic
249#2401C2212yes—
250#2398C2212yes—
251#2397C2212yes—
252#2395C2214yes—
253#2392C2212yes—
254#2373C2214yes—
255#2367C2212yes—
256#2365C2212yes—
257#2365C2211yescharacteristic
258#2365C2211yescharacteristic
259#2362C2212yes—
260#2360C2212yes—
261#2355C2212yes—
262#2354C2211yescharacteristic
263#2354C2212yes—
264#2354C2212yes—
265#2354C2211yescharacteristic
266#2352C2212yes—
267#2352C2212yes—
268#2346C2212yes—
269Q8×C22⋊C4C2212yes—
270Q8×C22⋊C4C2212yes—
271Q8×C22⋊C4C2212yes—
272#2333C2214yes—
273#2330C2212yes—
274#2326C2212yes—
275#2320C2212yes—
276#2310C2212yes—
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×C4⋊Q8C2212yes—
280C4×#127C2211yescharacteristic
281C4×#126C2212yes—
282C4×#124C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290#2296C2212yes—
291#2295C2211yescharacteristic
292#2295C2212yes—
293#2295C2212yes—
294#2295C2211yescharacteristic
295#2290C2212yes—
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×Q8C2312yes—
302#556—44no—
303D4×Q8—44no—
304#533—44no—
305C2×C4⋊Q8—44no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317#529—44no—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#123C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C4×#41—44no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C22×C4⋊C4C2312yes—
381C22×C4⋊C4C2312yes—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2312yes—
385#401C2314yes—
386#401C2314yes—
387#401C2312yes—
388#400C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2312yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2312yes—
424#399C2312yes—
425#399C2314yes—
426#399C2312yes—
427#399C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2312yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2312yes—
472#396C2314yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2312yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2312yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2312yes—
514#392C2312yes—
515#392C2312yes—
516#392C2312yes—
517#392C2312yes—
518#392C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#391C2312yes—
530#391C2312yes—
531#391C2311yescharacteristic
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2314yes—
541#391C2312yes—
542#391C2312yes—
543#391C2314yes—
544#391C2312yes—
545#391C2312yes—
546#391C2314yes—
547#391C2314yes—
548#391C2312yes—
549#391C2312yes—
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2314yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#391C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2314yes—
564#390C2314yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2311yescharacteristic
570#390C2314yes—
571#390C2312yes—
572#390C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2312yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2314yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2314yes—
607#389C2314yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2312yes—
648#388C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#384C2311yescharacteristic
723#384C2312yes—
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#383C2312yes—
728#383C2312yes—
729#383C2314yes—
730#382C2314yes—
731#382C2314yes—
732#382C2312yes—
733#382C2312yes—
734#382C2314yes—
735#382C2312yes—
736#382C2312yes—
737#382C2311yescharacteristic
738#382C2311yescharacteristic
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2314yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2314yes—
813#376C2312yes—
814C43C2312yes—
815C43C2311yescharacteristic
816C2×#41—42no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8—44no—
820C22×Q8—44no—
821C22×Q8—44no—
822C22×Q8—44no—
823C22×Q8—44no—
824C22×Q8—44no—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2412yes—
831C22×Q8C2414yes—
832C22×Q8C2414yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2411yescharacteristic
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2414yes—
854C4⋊Q8—24no—
855C4⋊Q8—24no—
856C4⋊Q8—24no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—42no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864#127—42no—
865#126—28no—
866#126—44no—
867#126—48no—
868#125—44no—
869#125—42no—
870#125—44no—
871#124—44no—
872#124—44no—
873#124—44no—
874#124—42no—
875#124—44no—
876#123—44no—
877C22⋊Q8—48no—
878C22⋊Q8—42no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—42no—
883C22⋊Q8—44no—
884C22⋊Q8—42no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889#121—28no—
890#121—42no—
891#121—42no—
892#121—42no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—42no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×D4—24no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—42no—
907C4×D4—44no—
908C4×D4—44no—
909C4×D4—42no—
910C4×D4—44no—
911C4×D4—44no—
912C4×D4—44no—
913C4×D4—42no—
914C4×D4—44no—
915C4×D4—44no—
916C4×D4—44no—
917#117—44no—
918#117—44no—
919#117—44no—
920#117—42no—
921#117—44no—
922#117—42no—
923#117—42no—
924#117—44no—
925#117—44no—
926C2×C4⋊C4—44no—
927C2×C4⋊C4—44no—
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2411yescharacteristic
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C42—24no—
1049C2×C42—24no—
1050C2×C42—44no—
1051C2×C42C2411yescharacteristic
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2412yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2414yes—
1071C2×C42C2414yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083#95C2412yes—
1084#95C2414yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2412yes—
1091#95C2412yes—
1092#95C2412yes—
1093#95C2412yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2411yescharacteristic
1104#95C2412yes—
1105#95C2411yescharacteristic
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2411yescharacteristic
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165C24C2512yes—
1166C24C2512yes—
1167C24C2511yescharacteristic
1168C24C2511yescharacteristic
1169#41—416no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—24no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—44no—
1188C2×Q8—42no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—42no—
1194C2×Q8—816no—
1195C2×Q8—816no—
1196C2×D4—22no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—42no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—42no—
1220C2×D4—42no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—42no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—44no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2512yes—
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2512yes—
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2514yes—
1277C22×C4C2514yes—
1278C22×C4C2514yes—
1279C22×C4C2514yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2511yescharacteristic
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—22no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—44no—
1318C4⋊C4—44no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—44no—
1323C4⋊C4—42no—
1324C4⋊C4—44no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—42no—
1329C4⋊C4—42no—
1330C4⋊C4—41no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—41no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C22⋊C4—24no—
1359C22⋊C4—24no—
1360C22⋊C4—24no—
1361C22⋊C4—24no—
1362C22⋊C4—22no—
1363C22⋊C4—24no—
1364C22⋊C4—44no—
1365C22⋊C4—42no—
1366C22⋊C4—44no—
1367C22⋊C4—42no—
1368C22⋊C4—42no—
1369C22⋊C4—44no—
1370C22⋊C4—42no—
1371C22⋊C4—44no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—42no—
1378C22⋊C4—44no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C42−1+414yes—
1410C42—22no—
1411C42—22no—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—24no—
1417C42—24no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—24no—
1422C42—22no—
1423C42—22no—
1424C42—24no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—42no—
1429C42—42no—
1430C42—42no—
1431C42—41no—
1432C42—44no—
1433C42—42no—
1434C42—44no—
1435C42—42no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42H(5,𝔽2)14yes—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—22no—
1449C23—22no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23C2×2−1+412yes—
1470C23C2611yescharacteristic
1471Q8—48no—
1472Q8—48no—
1473Q8—44no—
1474Q8—48no—
1475Q8—44no—
1476Q8—84no—
1477Q8—88no—
1478Q8—88no—
1479D4—44no—
1480D4—48no—
1481D4—44no—
1482D4—44no—
1483D4—84no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487D4—84no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—24no—
1505C2×C4—24no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—24no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—24no—
1544C2×C4—24no—
1545C2×C4—24no—
1546C2×C4—24no—
1547C2×C4—21no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—48no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—84no—
1582C2×C4—88no—
1583C2×C4—88no—
1584C2×C4C2×H(5,𝔽2)12yes—
1585C2×C4C2×H(5,𝔽2)12yes—
1586C2×C4C2×H(5,𝔽2)12yes—
1587C2×C4C2×2−1+412yes—
1588C2×C4C2×2−1+412yes—
1589C2×C4#58512yes—
1590C2×C4#58512yes—
1591C2×C4#58512yes—
1592C2×C4#58512yes—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—42no—
1601C22—41no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—41no—
1606C22—41no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—41no—
1612C22—41no—
1613C22—42no—
1614C22—42no—
1615C22—41no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—41no—
1621C22C22×H(5,𝔽2)11yescharacteristic
1622C22C22×2−1+411yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22C2×#58511yescharacteristic
1626C22C2×#58511yescharacteristic
1627C222−1+611yescharacteristic
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—42no—
1633C4—41no—
1634C4—44no—
1635C4—44no—
1636C4—41no—
1637C4—41no—
1638C4—42no—
1639C4—42no—
1640C4—42no—
1641C4—44no—
1642C4—42no—
1643C4—42no—
1644C4—41no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—42no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4—44no—
1656C4—41no—
1657C4#354014yes—
1658C4#356214yes—
1659C2—42no—
1660C2—81no—
1661C2—82no—
1662C2—82no—
1663C2C2×#354011yescharacteristic
1664C2C2×#356211yescharacteristic
1665C2#6276111yescharacteristic
1666C2#6293611yescharacteristic
1667C2#6294211yescharacteristic
1668C2#6296711yescharacteristic
1669C2#6302511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34727C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59863C2semidirect
2. #59768C2semidirect
3. #59477C2semidirect
4. #59134C2semidirect
5. #59042C2semidirect
6. #57422C2semidirect
7. #54248C2semidirect
8. #53144C2semidirect
9. #53137C2semidirect
10. #53087C2semidirect
11. #53054C2semidirect
12. #52513C2semidirect
13. #42937C2semidirect
14. #42869C2semidirect
15. #42717C2semidirect
16. #42690C2semidirect
17. #40769C2semidirect
18. #39809C2semidirect
19. #39666C2semidirect
20. #39248C2semidirect
21. #39167C2semidirect
22. #39156C2semidirect
23. #39043C2semidirect
24. #38984C2semidirect
25. #38911C2semidirect
26. #37630C2semidirect
27. #37617C2semidirect
28. #37581C2semidirect
29. #37509C2semidirect
30. #36405C2semidirect
31. #36315C2semidirect
32. #36129C2semidirect
33. #34979C2semidirect
34. #34803C2semidirect

Maximal subgroups

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

subgroupindex
#598632
#597682
#594772
#591342
#590422
#574222
#542482
#531442
#531372
#530872
#530542
#525132
#429372
#428692
#427172
#426902
#407692
#398092
#396662
#392482
#391672
#391562
#390432
#389842
#389112
#376302
#376172
#375812
#375092
#364052
#363152
#361292
#349792
#348032
#347272