Finite Group Databasebeta

← #8464329

Subgroups — #8464329

Order 512.

4467 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59681C211yesmaximal, characteristic, complemented
2#59081C211yesmaximal, characteristic, complemented
3#59064C211yesmaximal, characteristic, complemented
4#57136C214yesmaximal, complemented
5#54000C214yesmaximal, complemented
6#53843C214yesmaximal, complemented
7#53068C212yesmaximal, complemented
8#53047C212yesmaximal, complemented
9#49642C214yesmaximal, complemented
10#46105C212yesmaximal, complemented
11#45720C212yesmaximal, complemented
12#45230C212yesmaximal, complemented
13#45205C212yesmaximal, complemented
14#42842C212yesmaximal, complemented
15#42740C212yesmaximal, complemented
16#42718C212yesmaximal, complemented
17#42547C212yesmaximal, complemented
18#39736C211yesmaximal, characteristic, complemented
19#39602C212yesmaximal, complemented
20#39539C212yesmaximal, complemented
21#39168C211yesmaximal, characteristic, complemented
22#39137C211yesmaximal, characteristic, complemented
23#39125C211yesmaximal, characteristic, complemented
24#38987C212yesmaximal, complemented
25#38291C212yesmaximal, complemented
26#37633C211yesmaximal, characteristic, complemented
27#37329C212yesmaximal, complemented
28#37288C212yesmaximal, complemented
29#36463C211yesmaximal, characteristic, complemented
30#36287C211yesmaximal, characteristic, complemented
31#36150C211yesmaximal, characteristic, complemented
32#35206C211yesmaximal, characteristic, complemented
33#35191C211yesmaximal, characteristic, complemented
34#34932C211yesmaximal, characteristic, complemented
35#34793C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×#529C2211yescharacteristic
42#2861C2212yes—
43#2859C2212yes—
44#2858C2211yescharacteristic
45#2858C2212yes—
46#2857C2211yescharacteristic
47#2856C2211yescharacteristic
48#2855C2212yes—
49#2854C2212yes—
50#2851C2212yes—
51#2837C2214yes—
52#2837C2214yes—
53#2836C2214yes—
54#2829C2214yes—
55#2829C2214yes—
56#2827C2214yes—
57#2826C2214yes—
58#2814C2214yes—
59#2808C2214yes—
60#2803C2214yes—
61#2803C2214yes—
62#2802C2214yes—
63#2800C2214yes—
64#2797C2214yes—
65#2796C2214yes—
66#2790C2214yes—
67#2790C2214yes—
68#2786C2214yes—
69#2786C2214yes—
70#2786C2214yes—
71#2784C2214yes—
72#2783C2214yes—
73#2780C2214yes—
74#2773C2214yes—
75#2773C2214yes—
76#2761C2214yes—
77#2761C2214yes—
78#2761C2214yes—
79#2757C2214yes—
80#2753C2214yes—
81#2752C2214yes—
82#2744C2214yes—
83#2744C2214yes—
84#2743C2214yes—
85#2740C2214yes—
86#2740C2214yes—
87#2737C2214yes—
88#2730C2214yes—
89#2729C2214yes—
90#2721C2214yes—
91#2720C2214yes—
92#2716C2214yes—
93#2711C2214yes—
94#2710C2214yes—
95#2708C2214yes—
96#2707C2214yes—
97#2705C2214yes—
98#2701C2214yes—
99#2698C2214yes—
100#2695C2214yes—
101#2691C2214yes—
102#2690C2214yes—
103#2682C2214yes—
104#2676C2214yes—
105#2674C2214yes—
106#2674C2214yes—
107#2674C2214yes—
108#2662C2214yes—
109#2661C2214yes—
110#2653C2214yes—
111#2652C2214yes—
112#2644C2214yes—
113#2640C2212yes—
114#2639C2214yes—
115#2637C2214yes—
116#2635C2214yes—
117#2629C2212yes—
118#2629C2212yes—
119#2628C2212yes—
120#2621C2212yes—
121#2620C2212yes—
122#2620C2212yes—
123#2620C2212yes—
124#2612C2214yes—
125#2603C2214yes—
126#2595C2214yes—
127#2590C2214yes—
128#2575C2214yes—
129#2574C2214yes—
130#2570C2212yes—
131#2568C2211yescharacteristic
132#2567C2211yescharacteristic
133#2566C2212yes—
134#2565C2212yes—
135#2563C2211yescharacteristic
136#2557C2214yes—
137#2556C2214yes—
138#2553C2212yes—
139#2553C2212yes—
140#2552C2211yescharacteristic
141#2552C2211yescharacteristic
142#2550C2212yes—
143#2550C2212yes—
144#2548C2211yescharacteristic
145#2548C2212yes—
146#2547C2211yescharacteristic
147#2547C2211yescharacteristic
148#2547C2212yes—
149#2547C2212yes—
150#2546C2211yescharacteristic
151#2546C2212yes—
152#2546C2211yescharacteristic
153#2545C2212yes—
154#2545C2212yes—
155#2542C2212yes—
156#2542C2211yescharacteristic
157#2541C2211yescharacteristic
158#2540C2212yes—
159#2540C2212yes—
160#2538C2211yescharacteristic
161#2537C2211yescharacteristic
162#2537C2212yes—
163#2536C2212yes—
164#2532C2214yes—
165#2531C2214yes—
166#2530C2212yes—
167#2528C2212yes—
168#2517C2212yes—
169#2516C2214yes—
170#2515C2214yes—
171#2513C2212yes—
172#2513C2214yes—
173#2513C2214yes—
174#2512C2212yes—
175#2512C2212yes—
176#2511C2212yes—
177#2511C2212yes—
178#2511C2211yescharacteristic
179#2509C2212yes—
180#2507C2212yes—
181#2506C2212yes—
182#2506C2211yescharacteristic
183#2505C2214yes—
184#2499C2211yescharacteristic
185#2497C2212yes—
186#2496C2212yes—
187#2495C2212yes—
188#2494C2211yescharacteristic
189#2493C2214yes—
190#2492C2212yes—
191#2491C2212yes—
192#2490C2212yes—
193#2490C2212yes—
194#2490C2212yes—
195#2489C2212yes—
196#2489C2211yescharacteristic
197#2489C2211yescharacteristic
198#2489C2211yescharacteristic
199#2485C2212yes—
200#2485C2212yes—
201#2485C2211yescharacteristic
202#2460C2212yes—
203#2459C2214yes—
204#2454C2212yes—
205#2454C2214yes—
206#2454C2212yes—
207#2453C2212yes—
208#2452C2212yes—
209#2452C2212yes—
210#2451C2212yes—
211#2450C2214yes—
212#2448C2212yes—
213#2448C2212yes—
214#2448C2212yes—
215#2448C2212yes—
216#2447C2212yes—
217#2447C2212yes—
218#2447C2212yes—
219#2447C2212yes—
220#2446C2212yes—
221#2446C2214yes—
222#2445C2212yes—
223#2441C2212yes—
224#2441C2211yescharacteristic
225#2439C2212yes—
226#2432C2212yes—
227#2432C2212yes—
228#2431C2212yes—
229#2429C2212yes—
230#2428C2212yes—
231#2427C2212yes—
232#2427C2212yes—
233#2427C2211yescharacteristic
234#2427C2211yescharacteristic
235#2426C2212yes—
236#2426C2212yes—
237#2426C2212yes—
238#2423C2212yes—
239#2422C2212yes—
240#2421C2212yes—
241#2420C2212yes—
242#2420C2212yes—
243#2420C2212yes—
244#2419C2214yes—
245#2415C2211yescharacteristic
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2407C2212yes—
250#2401C2212yes—
251#2395C2212yes—
252#2395C2212yes—
253#2395C2212yes—
254#2378C2214yes—
255#2370C2212yes—
256#2370C2212yes—
257#2369C2211yescharacteristic
258#2367C2212yes—
259#2366C2212yes—
260#2366C2211yescharacteristic
261#2365C2212yes—
262#2365C2212yes—
263#2363C2212yes—
264#2362C2212yes—
265#2357C2212yes—
266#2355C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic
268#2349C2212yes—
269#2346C2212yes—
270#2341C2212yes—
271#2339C2212yes—
272#2326C2212yes—
273#2326C2212yes—
274#2324C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278#2323C2212yes—
279#2320C2212yes—
280#2319C2214yes—
281C4×C4⋊Q8C2211yescharacteristic
282C4×C4⋊Q8C2211yescharacteristic
283C4×#125C2212yes—
284C4×#125C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2212yes—
291#2298C2212yes—
292#2295C2211yescharacteristic
293#2295C2212yes—
294#2285C2211yescharacteristic
295#2285C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300#559—44no—
301Q82—44no—
302#533—44no—
303#532—44no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2314yes—
312C2×#127C2311yescharacteristic
313C2×#127C2312yes—
314#529—44no—
315#529—44no—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C2×#117C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2312yes—
396#401C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2314yes—
412#399C2314yes—
413#399C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2312yes—
417#399C2312yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2312yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2312yes—
460#397C2312yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#397C2312yes—
467#397C2314yes—
468#397C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2312yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2314yes—
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2314yes—
538#391C2311yescharacteristic
539#391C2311yescharacteristic
540#391C2314yes—
541#391C2314yes—
542#391C2311yescharacteristic
543#391C2311yescharacteristic
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2312yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#389C2312yes—
573#389C2311yescharacteristic
574#389C2312yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2314yes—
603#389C2311yescharacteristic
604#389C2314yes—
605#389C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
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#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2314yes—
682#387C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#386C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2312yes—
719#384C2312yes—
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2312yes—
723#383C2314yes—
724#382C2311yescharacteristic
725#382C2312yes—
726#382C2312yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#382C2314yes—
731#382C2314yes—
732#382C2312yes—
733#382C2312yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2314yes—
742#380C2312yes—
743#380C2314yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2311yescharacteristic
760#380C2312yes—
761#380C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810#376C2314yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—44no—
817C2×#41—44no—
818C2×#41—44no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2414yes—
831C22×D4C2412yes—
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2414yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C4⋊Q8—24no—
849C4⋊Q8—24no—
850C4⋊Q8—44no—
851C4⋊Q8—44no—
852C4⋊Q8—44no—
853C4⋊Q8—42no—
854C4⋊Q8—44no—
855C4⋊Q8—48no—
856#127—24no—
857#127—44no—
858#126—44no—
859#126—44no—
860#126—84no—
861#125—24no—
862#125—44no—
863#125—42no—
864#125—42no—
865#125—44no—
866#125—44no—
867#125—84no—
868#124—44no—
869#124—44no—
870#124—44no—
871#124—42no—
872#124—42no—
873#124—44no—
874#124—44no—
875#124—44no—
876#124—82no—
877#124—84no—
878#123—44no—
879#123—44no—
880#123—48no—
881#123—84no—
882C22⋊Q8—24no—
883C22⋊Q8—48no—
884C22⋊Q8—42no—
885C22⋊Q8—42no—
886C22⋊Q8—42no—
887C22⋊Q8—44no—
888C22⋊Q8—42no—
889C22⋊Q8—42no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—82no—
893C22⋊Q8—84no—
894#121—28no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—42no—
900#121—42no—
901#121—44no—
902#121—44no—
903#121—84no—
904#121—82no—
905C4×Q8—24no—
906C4×Q8—24no—
907C4×Q8—24no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×Q8—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×D4—24no—
915C4×D4—44no—
916C4×D4—44no—
917C4×D4—42no—
918C4×D4—42no—
919C4×D4—42no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929#117—24no—
930#117—44no—
931#117—44no—
932#117—44no—
933#117—42no—
934#117—44no—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2411yescharacteristic
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2411yescharacteristic
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C42—24no—
1066C2×C42—24no—
1067C2×C42—44no—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2411yescharacteristic
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2411yescharacteristic
1087C2×C42C2414yes—
1088C2×C42C2412yes—
1089C2×C42C2414yes—
1090C2×C42C2414yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2414yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2412yes—
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2512yes—
1173C24C2511yescharacteristic
1174C24C2514yes—
1175C24C2511yescharacteristic
1176#41—816no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—24no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—44no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—44no—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2511yescharacteristic
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2512yes—
1277C22×C4C2514yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2514yes—
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
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—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C42−1+414yes—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—42no—
1375C22⋊C4—42no—
1376C22⋊C4—42no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—42no—
1380C22⋊C4—42no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—44no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—22no—
1436C42—22no—
1437C42—24no—
1438C42—24no—
1439C42—24no—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—24no—
1444C42—42no—
1445C42—42no—
1446C42—42no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—41no—
1453C42—44no—
1454C42—42no—
1455C42—42no—
1456C42H(5,𝔽2)14yes—
1457C23—22no—
1458C23—21no—
1459C23—24no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—24no—
1464C23—22no—
1465C23—24no—
1466C23—21no—
1467C23—21no—
1468C23—22no—
1469C23—24no—
1470C23—24no—
1471C23—21no—
1472C23—21no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—22no—
1477C23—21no—
1478C23—21no—
1479C23—24no—
1480C23—22no—
1481C23—21no—
1482C23—24no—
1483C23—22no—
1484C23—21no—
1485C23C2611yescharacteristic
1486Q8—44no—
1487Q8—44no—
1488Q8—48no—
1489Q8—44no—
1490Q8—84no—
1491Q8—164no—
1492D4—44no—
1493D4—44no—
1494D4—48no—
1495D4—48no—
1496D4—88no—
1497D4—84no—
1498D4—84no—
1499D4—84no—
1500D4—88no—
1501D4—164no—
1502D4—164no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—24no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—24no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—24no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—44no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—48no—
1592C2×C4—84no—
1593C2×C4—82no—
1594C2×C4—82no—
1595C2×C4—84no—
1596C2×C4—88no—
1597C2×C4—164no—
1598C2×C4—164no—
1599C2×C4C2×H(5,𝔽2)12yes—
1600C2×C4C2×H(5,𝔽2)12yes—
1601C2×C4C2×H(5,𝔽2)12yes—
1602C2×C4C2×2−1+414yes—
1603C2×C4C2×2−1+412yes—
1604C2×C4#58512yes—
1605C2×C4#58512yes—
1606C2×C4#58512yes—
1607C2×C4#58512yes—
1608C22—41no—
1609C22—41no—
1610C22—44no—
1611C22—42no—
1612C22—42no—
1613C22—41no—
1614C22—41no—
1615C22—44no—
1616C22—42no—
1617C22—44no—
1618C22—41no—
1619C22—41no—
1620C22—42no—
1621C22—44no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—44no—
1627C22—42no—
1628C22—41no—
1629C22—41no—
1630C22—44no—
1631C22—42no—
1632C22—42no—
1633C22—41no—
1634C22—44no—
1635C22—41no—
1636C22C22×H(5,𝔽2)11yescharacteristic
1637C22C22×2−1+411yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22C2×#58511yescharacteristic
1642C22H(7,𝔽2)11yescharacteristic
1643C4—24no—
1644C4—22no—
1645C4—22no—
1646C4—41no—
1647C4—41no—
1648C4—44no—
1649C4—42no—
1650C4—42no—
1651C4—41no—
1652C4—41no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—42no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—41no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—44no—
1668C4—42no—
1669C4—41no—
1670C4—44no—
1671C4—42no—
1672C4#355114yes—
1673C4#355414yes—
1674C2—81no—
1675C2—81no—
1676C2—84no—
1677C2—82no—
1678C2C2×#355111yescharacteristic
1679C2C2×#355411yescharacteristic
1680C2#6282711yescharacteristic
1681C2#6295211yescharacteristic
1682C2#6295511yescharacteristic
1683C2#6296611yescharacteristic
1684C2#6302511yescharacteristic
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. #59681C2semidirect
2. #59081C2semidirect
3. #59064C2semidirect
4. #57136C2semidirect
5. #54000C2semidirect
6. #53843C2semidirect
7. #53068C2semidirect
8. #53047C2semidirect
9. #49642C2semidirect
10. #46105C2semidirect
11. #45720C2semidirect
12. #45230C2semidirect
13. #45205C2semidirect
14. #42842C2semidirect
15. #42740C2semidirect
16. #42718C2semidirect
17. #42547C2semidirect
18. #39736C2semidirect
19. #39602C2semidirect
20. #39539C2semidirect
21. #39168C2semidirect
22. #39137C2semidirect
23. #39125C2semidirect
24. #38987C2semidirect
25. #38291C2semidirect
26. #37633C2semidirect
27. #37329C2semidirect
28. #37288C2semidirect
29. #36463C2semidirect
30. #36287C2semidirect
31. #36150C2semidirect
32. #35206C2semidirect
33. #35191C2semidirect
34. #34932C2semidirect
35. #34793C2semidirect

Maximal subgroups

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

subgroupindex
#596812
#590812
#590642
#571362
#540002
#538432
#530682
#530472
#496422
#461052
#457202
#452302
#452052
#428422
#427402
#427182
#425472
#397362
#396022
#395392
#391682
#391372
#391252
#389872
#382912
#376332
#373292
#372882
#364632
#362872
#361502
#352062
#351912
#349322
#347932