Finite Group Databasebeta

← #8467129

Subgroups — #8467129

Order 512.

4866 conjugacy classes of subgroups.

The subgroup lattice has 1727 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59458C211yesmaximal, characteristic, complemented
2#59233C211yesmaximal, characteristic, complemented
3#59213C211yesmaximal, characteristic, complemented
4#58217C214yesmaximal, complemented
5#55314C214yesmaximal, complemented
6#54541C214yesmaximal, complemented
7#53094C212yesmaximal, complemented
8#53057C212yesmaximal, complemented
9#49661C214yesmaximal, complemented
10#46042C212yesmaximal, complemented
11#45641C212yesmaximal, complemented
12#45054C212yesmaximal, complemented
13#45042C212yesmaximal, complemented
14#42965C212yesmaximal, complemented
15#42734C212yesmaximal, complemented
16#42611C212yesmaximal, complemented
17#42476C212yesmaximal, complemented
18#39469C212yesmaximal, complemented
19#39370C211yesmaximal, characteristic, complemented
20#39148C211yesmaximal, characteristic, complemented
21#38967C211yesmaximal, characteristic, complemented
22#38955C212yesmaximal, complemented
23#38942C211yesmaximal, characteristic, complemented
24#38266C212yesmaximal, complemented
25#37756C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37333C212yesmaximal, complemented
28#37322C212yesmaximal, complemented
29#36273C211yesmaximal, characteristic, complemented
30#36211C211yesmaximal, characteristic, complemented
31#36126C211yesmaximal, characteristic, complemented
32#35239C211yesmaximal, characteristic, complemented
33#35192C211yesmaximal, characteristic, complemented
34#34800C211yesmaximal, characteristic, complemented
35#34788C211yesmaximal, characteristic, complemented
36C2×#555C2212yes—
37C2×#554C2212yes—
38C2×#553C2212yes—
39C2×#547C2212yes—
40C2×#544C2212yes—
41C2×#532C2212yes—
42#2864C2212yes—
43#2862C2212yes—
44#2859C2211yescharacteristic
45#2858C2212yes—
46#2857C2212yes—
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2212yes—
50#2851C2212yes—
51#2832C2214yes—
52#2829C2214yes—
53#2829C2214yes—
54#2828C2214yes—
55#2824C2214yes—
56#2820C2214yes—
57#2816C2214yes—
58#2813C2214yes—
59#2788C2214yes—
60#2785C2214yes—
61#2779C2214yes—
62#2773C2214yes—
63#2772C2214yes—
64#2761C2214yes—
65#2761C2214yes—
66#2756C2214yes—
67#2754C2214yes—
68#2751C2214yes—
69#2751C2214yes—
70#2749C2214yes—
71#2744C2214yes—
72#2742C2214yes—
73#2741C2214yes—
74#2731C2214yes—
75#2730C2214yes—
76#2730C2214yes—
77#2730C2214yes—
78#2729C2214yes—
79#2712C2214yes—
80#2712C2214yes—
81#2712C2214yes—
82#2711C2214yes—
83#2708C2214yes—
84#2705C2214yes—
85#2704C2214yes—
86#2702C2214yes—
87#2702C2214yes—
88#2700C2214yes—
89#2700C2214yes—
90#2700C2214yes—
91#2699C2214yes—
92#2696C2214yes—
93#2692C2214yes—
94#2692C2214yes—
95#2688C2214yes—
96#2687C2214yes—
97#2687C2214yes—
98#2687C2214yes—
99#2687C2214yes—
100#2686C2214yes—
101#2682C2214yes—
102#2681C2214yes—
103#2681C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2676C2214yes—
107#2676C2214yes—
108#2666C2214yes—
109#2665C2214yes—
110#2653C2214yes—
111#2644C2212yes—
112#2641C2212yes—
113#2640C2214yes—
114#2635C2214yes—
115#2630C2214yes—
116#2629C2212yes—
117#2628C2212yes—
118#2624C2212yes—
119#2624C2212yes—
120#2621C2214yes—
121#2619C2212yes—
122#2619C2212yes—
123#2615C2214yes—
124#2611C2214yes—
125#2610C2214yes—
126#2610C2214yes—
127#2605C2214yes—
128#2580C2212yes—
129#2571C2211yescharacteristic
130#2571C2211yescharacteristic
131#2570C2212yes—
132#2563C2212yes—
133#2563C2212yes—
134#2563C2212yes—
135#2555C2214yes—
136#2552C2211yescharacteristic
137#2552C2211yescharacteristic
138#2551C2211yescharacteristic
139#2551C2211yescharacteristic
140#2551C2211yescharacteristic
141#2550C2212yes—
142#2550C2212yes—
143#2546C2212yes—
144#2542C2212yes—
145#2541C2211yescharacteristic
146#2541C2211yescharacteristic
147#2538C2212yes—
148#2537C2212yes—
149#2537C2212yes—
150#2537C2211yescharacteristic
151#2535C2212yes—
152#2535C2212yes—
153#2532C2212yes—
154#2530C2214yes—
155#2527C2214yes—
156#2526C2212yes—
157#2525C2212yes—
158#2518C2212yes—
159#2516C2212yes—
160#2513C2212yes—
161#2513C2212yes—
162#2513C2211yescharacteristic
163#2513C2211yescharacteristic
164#2510C2212yes—
165#2509C2212yes—
166#2509C2211yescharacteristic
167#2508C2211yescharacteristic
168#2506C2212yes—
169#2504C2212yes—
170#2504C2211yescharacteristic
171#2503C2214yes—
172#2500C2212yes—
173#2500C2211yescharacteristic
174#2497C2211yescharacteristic
175#2496C2212yes—
176#2494C2211yescharacteristic
177#2491C2212yes—
178#2491C2212yes—
179#2491C2212yes—
180#2491C2212yes—
181#2491C2212yes—
182#2491C2211yescharacteristic
183#2490C2212yes—
184#2490C2212yes—
185#2490C2212yes—
186#2490C2211yescharacteristic
187#2487C2211yescharacteristic
188#2486C2212yes—
189#2485C2214yes—
190#2485C2211yescharacteristic
191#2485C2212yes—
192#2481C2214yes—
193#2468C2214yes—
194#2463C2214yes—
195#2461C2214yes—
196#2460C2214yes—
197#2459C2212yes—
198#2454C2212yes—
199#2454C2212yes—
200#2452C2212yes—
201#2452C2212yes—
202#2452C2212yes—
203#2452C2212yes—
204#2452C2212yes—
205#2449C2214yes—
206#2445C2212yes—
207#2444C2212yes—
208#2442C2211yescharacteristic
209#2442C2212yes—
210#2442C2212yes—
211#2442C2212yes—
212#2442C2212yes—
213#2440C2212yes—
214#2439C2212yes—
215#2439C2212yes—
216#2439C2212yes—
217#2439C2212yes—
218#2439C2212yes—
219#2439C2212yes—
220#2439C2211yescharacteristic
221#2438C2214yes—
222#2432C2214yes—
223#2430C2214yes—
224#2428C2212yes—
225#2428C2212yes—
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2427C2214yes—
230#2420C2212yes—
231#2420C2212yes—
232#2420C2212yes—
233#2420C2212yes—
234#2420C2212yes—
235#2420C2212yes—
236#2420C2212yes—
237#2420C2212yes—
238#2416C2214yes—
239#2416C2212yes—
240#2416C2212yes—
241#2416C2211yescharacteristic
242#2414C2212yes—
243#2414C2211yescharacteristic
244#2414C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2414C2212yes—
248#2414C2212yes—
249#2407C2214yes—
250#2401C2212yes—
251#2398C2212yes—
252#2395C2212yes—
253#2392C2212yes—
254#2377C2214yes—
255#2366C2211yescharacteristic
256#2366C2211yescharacteristic
257#2363C2212yes—
258#2363C2212yes—
259#2363C2212yes—
260#2361C2212yes—
261#2361C2212yes—
262#2357C2212yes—
263#2354C2211yescharacteristic
264#2354C2211yescharacteristic
265D4×C4⋊C4C2211yescharacteristic
266D4×C4⋊C4C2212yes—
267D4×C4⋊C4C2211yescharacteristic
268#2346C2212yes—
269#2346C2212yes—
270#2331C2212yes—
271#2331C2212yes—
272#2331C2212yes—
273#2330C2212yes—
274#2328C2212yes—
275#2319C2212yes—
276#2316C2212yes—
277#2311C2214yes—
278C4×C4⋊Q8C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#125C2211yescharacteristic
281C4×#124C2212yes—
282C4×#121C2211yescharacteristic
283C4×#121C2211yescharacteristic
284C4×#121C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287#2298C2212yes—
288#2293C2212yes—
289#2293C2211yescharacteristic
290#2293C2211yescharacteristic
291#2290C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2314yes—
300#555—48no—
301#554—48no—
302#553—48no—
303#547—48no—
304#544—48no—
305#532—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#126C2314yes—
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2314yes—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329C2×#123C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×#121C2311yescharacteristic
341C2×#121C2311yescharacteristic
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×C4×Q8C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2314yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2314yes—
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2314yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401#401C2312yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#399C2312yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2312yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#396C2312yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#395C2314yes—
466#395C2314yes—
467#395C2314yes—
468#395C2314yes—
469#395C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
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#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2312yes—
514#393C2314yes—
515#393C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2312yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#391C2312yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2314yes—
535#391C2314yes—
536#391C2314yes—
537#391C2312yes—
538#391C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2311yescharacteristic
543#390C2314yes—
544#390C2312yes—
545#390C2314yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2312yes—
550#390C2312yes—
551#390C2312yes—
552#390C2312yes—
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2314yes—
563#390C2311yescharacteristic
564#390C2314yes—
565#390C2311yescharacteristic
566#390C2311yescharacteristic
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#389C2311yescharacteristic
574#389C2311yescharacteristic
575#389C2311yescharacteristic
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
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#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2314yes—
692#386C2312yes—
693#386C2312yes—
694#386C2312yes—
695#386C2312yes—
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#385C2312yes—
709#385C2312yes—
710#384C2311yescharacteristic
711#384C2311yescharacteristic
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2312yes—
715#384C2311yescharacteristic
716#383C2312yes—
717#383C2312yes—
718#382C2311yescharacteristic
719#382C2314yes—
720#382C2312yes—
721#382C2314yes—
722#382C2312yes—
723#382C2311yescharacteristic
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2312yes—
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2311yescharacteristic
732#382C2312yes—
733#381C2314yes—
734#381C2314yes—
735#381C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2312yes—
739#381C2312yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2314yes—
743#380C2314yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809#376C2312yes—
810#376C2312yes—
811#376C2314yes—
812#376C2312yes—
813C2×#95C2312yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C2×#41—48no—
817C2×#41—48no—
818C2×#41—48no—
819C22×Q8C2412yes—
820C22×Q8C2414yes—
821C22×Q8C2414yes—
822C22×Q8C2414yes—
823C22×D4C2412yes—
824C22×D4C2412yes—
825C22×D4C2411yescharacteristic
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2414yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2412yes—
855C4⋊Q8—28no—
856C4⋊Q8—24no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—44no—
860C4⋊Q8—44no—
861C4⋊Q8—44no—
862C4⋊Q8—48no—
863#127—24no—
864#127—44no—
865#127—44no—
866#126—48no—
867#125—28no—
868#125—24no—
869#125—44no—
870#125—48no—
871#125—44no—
872#124—48no—
873#124—48no—
874#124—44no—
875#124—48no—
876#124—84no—
877#124—84no—
878#123—48no—
879#123—48no—
880#123—48no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—48no—
884C22⋊Q8—48no—
885C22⋊Q8—48no—
886C22⋊Q8—48no—
887C22⋊Q8—84no—
888C22⋊Q8—84no—
889#121—24no—
890#121—24no—
891#121—48no—
892#121—48no—
893#121—48no—
894#121—44no—
895#121—42no—
896#121—44no—
897#121—44no—
898#121—42no—
899#121—44no—
900#121—44no—
901#121—44no—
902#121—44no—
903#121—48no—
904#121—44no—
905#121—44no—
906#121—44no—
907#121—44no—
908#121—44no—
909#121—84no—
910#121—84no—
911#121—82no—
912C4×Q8—44no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—24no—
916C4×D4—24no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—48no—
930C4×D4—48no—
931C4×D4—42no—
932C4×D4—82no—
933#117—28no—
934#117—24no—
935#117—44no—
936#117—44no—
937#117—48no—
938#117—44no—
939#117—42no—
940#117—44no—
941#117—82no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—42no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—48no—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2411yescharacteristic
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C42—24no—
1078C2×C42—24no—
1079C2×C42—44no—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2414yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2411yescharacteristic
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2411yescharacteristic
1134#95C2411yescharacteristic
1135#95C2411yescharacteristic
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177C24C2512yes—
1178C24C2511yescharacteristic
1179C24C2514yes—
1180C24C2512yes—
1181C24C2511yescharacteristic
1182#41—832no—
1183C2×Q8—24no—
1184C2×Q8—28no—
1185C2×Q8—42no—
1186C2×Q8—44no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—44no—
1191C2×Q8—44no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—42no—
1217C2×D4—42no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—44no—
1224C2×D4—44no—
1225C2×D4—44no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—42no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—28no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—28no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—28no—
1271C22×C4—22no—
1272C22×C4—42no—
1273C22×C4—41no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—24no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—42no—
1362C4⋊C4—41no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4H(5,𝔽2)14yes—
1383C4⋊C4H(5,𝔽2)14yes—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—41no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—28no—
1455C42—22no—
1456C42—24no—
1457C42—24no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—24no—
1467C42—22no—
1468C42—24no—
1469C42—42no—
1470C42—42no—
1471C42—44no—
1472C42—42no—
1473C42—44no—
1474C42—44no—
1475C42—41no—
1476C42—41no—
1477C42—42no—
1478C42—42no—
1479C422−1+414yes—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—22no—
1487C23—21no—
1488C23—24no—
1489C23—22no—
1490C23—24no—
1491C23—22no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—21no—
1497C23—24no—
1498C23—22no—
1499C23—21no—
1500C23—24no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—24no—
1505C23—24no—
1506C23—21no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—24no—
1513C23—21no—
1514C23#58512yes—
1515C23C2611yescharacteristic
1516Q8—84no—
1517Q8—88no—
1518Q8—164no—
1519Q8—164no—
1520D4—48no—
1521D4—44no—
1522D4—48no—
1523D4—48no—
1524D4—44no—
1525D4—44no—
1526D4—84no—
1527D4—84no—
1528D4—84no—
1529D4—88no—
1530D4—88no—
1531D4—84no—
1532D4—88no—
1533D4—88no—
1534D4—164no—
1535D4—164no—
1536D4—164no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—24no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—416no—
1619C2×C4—44no—
1620C2×C4—48no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—48no—
1624C2×C4—48no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—82no—
1628C2×C4—88no—
1629C2×C4—84no—
1630C2×C4—164no—
1631C2×C4—164no—
1632C2×C4—164no—
1633C2×C4C2×H(5,𝔽2)14yes—
1634C2×C4C2×H(5,𝔽2)14yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×2−1+412yes—
1638C2×C4C2×2−1+412yes—
1639C2×C4C2×2−1+412yes—
1640C2×C4#58512yes—
1641C2×C4#58512yes—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—42no—
1650C22—41no—
1651C22—41no—
1652C22—42no—
1653C22—44no—
1654C22—42no—
1655C22—44no—
1656C22—42no—
1657C22—44no—
1658C22—42no—
1659C22—42no—
1660C22—41no—
1661C22—41no—
1662C22—42no—
1663C22—44no—
1664C22—42no—
1665C22—44no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—41no—
1670C22—44no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—44no—
1675C22—42no—
1676C22—42no—
1677C22C22×H(5,𝔽2)11yescharacteristic
1678C22C22×H(5,𝔽2)11yescharacteristic
1679C22C22×2−1+411yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22H(7,𝔽2)11yescharacteristic
1684C4—24no—
1685C4—24no—
1686C4—22no—
1687C4—41no—
1688C4—42no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—42no—
1693C4—42no—
1694C4—44no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—42no—
1699C4—42no—
1700C4—41no—
1701C4—42no—
1702C4—42no—
1703C4—41no—
1704C4—42no—
1705C4—42no—
1706C4—44no—
1707C4—42no—
1708C4—44no—
1709C4—42no—
1710C4—41no—
1711C4—41no—
1712C4#354714yes—
1713C4#354714yes—
1714C2—42no—
1715C2—81no—
1716C2—82no—
1717C2—82no—
1718C2—84no—
1719C2C2×#354711yescharacteristic
1720C2C2×#354711yescharacteristic
1721C2#6282711yescharacteristic
1722C2#6292311yescharacteristic
1723C2#6292311yescharacteristic
1724C2#6295811yescharacteristic
1725C2#6301211yescharacteristic
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. #59458C2semidirect
2. #59233C2semidirect
3. #59213C2semidirect
4. #58217C2semidirect
5. #55314C2semidirect
6. #54541C2semidirect
7. #53094C2semidirect
8. #53057C2semidirect
9. #49661C2semidirect
10. #46042C2semidirect
11. #45641C2semidirect
12. #45054C2semidirect
13. #45042C2semidirect
14. #42965C2semidirect
15. #42734C2semidirect
16. #42611C2semidirect
17. #42476C2semidirect
18. #39469C2semidirect
19. #39370C2semidirect
20. #39148C2semidirect
21. #38967C2semidirect
22. #38955C2semidirect
23. #38942C2semidirect
24. #38266C2semidirect
25. #37756C2semidirect
26. #37626C2semidirect
27. #37333C2semidirect
28. #37322C2semidirect
29. #36273C2semidirect
30. #36211C2semidirect
31. #36126C2semidirect
32. #35239C2semidirect
33. #35192C2semidirect
34. #34800C2semidirect
35. #34788C2semidirect

Maximal subgroups

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

subgroupindex
#594582
#592332
#592132
#582172
#553142
#545412
#530942
#530572
#496612
#460422
#456412
#450542
#450422
#429652
#427342
#426112
#424762
#394692
#393702
#391482
#389672
#389552
#389422
#382662
#377562
#376262
#373332
#373222
#362732
#362112
#361262
#352392
#351922
#348002
#347882