Finite Group Databasebeta

← #8424389

Subgroups — #8424389

Order 512.

4861 conjugacy classes of subgroups.

The subgroup lattice has 1717 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59641C211yesmaximal, characteristic, complemented
3#59640C211yesmaximal, characteristic, complemented
4#59260C212yesmaximal, complemented
5#59115C212yesmaximal, complemented
6#58732C214yesmaximal, complemented
7#54787C214yesmaximal, complemented
8#53115C212yesmaximal, complemented
9#53110C212yesmaximal, complemented
10#53057C212yesmaximal, complemented
11#52973C212yesmaximal, complemented
12#52338C214yesmaximal, complemented
13#42968C212yesmaximal, complemented
14#42751C212yesmaximal, complemented
15#42734C212yesmaximal, complemented
16#42632C212yesmaximal, complemented
17#41061C214yesmaximal, complemented
18#40144C212yesmaximal, complemented
19#39853C212yesmaximal, complemented
20#39718C212yesmaximal, complemented
21#39370C211yesmaximal, characteristic, complemented
22#39194C211yesmaximal, characteristic, complemented
23#39191C211yesmaximal, characteristic, complemented
24#39181C211yesmaximal, characteristic, complemented
25#37756C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37625C211yesmaximal, characteristic, complemented
28#37619C212yesmaximal, complemented
29#37508C212yesmaximal, complemented
30#36573C211yesmaximal, characteristic, complemented
31#36416C211yesmaximal, characteristic, complemented
32#36174C211yesmaximal, characteristic, complemented
33#34929C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#555C2212yes—
38C2×#544C2212yes—
39C2×#533C2212yes—
40C2×#532C2212yes—
41C2×#532C2212yes—
42#2859C2211yescharacteristic
43#2859C2211yescharacteristic
44#2859C2211yescharacteristic
45#2851C2212yes—
46#2850C2212yes—
47#2837C2214yes—
48#2829C2214yes—
49#2829C2214yes—
50#2829C2214yes—
51#2829C2214yes—
52#2828C2214yes—
53#2827C2214yes—
54#2826C2214yes—
55#2826C2214yes—
56#2820C2214yes—
57#2816C2214yes—
58#2816C2214yes—
59#2813C2214yes—
60#2813C2214yes—
61#2803C2214yes—
62#2801C2214yes—
63#2800C2214yes—
64#2774C2214yes—
65#2761C2214yes—
66#2754C2214yes—
67#2753C2214yes—
68#2747C2214yes—
69#2746C2214yes—
70#2743C2214yes—
71#2743C2214yes—
72#2741C2214yes—
73#2733C2214yes—
74#2731C2214yes—
75#2731C2214yes—
76#2730C2214yes—
77#2730C2214yes—
78#2729C2214yes—
79#2713C2214yes—
80#2712C2214yes—
81#2711C2214yes—
82#2711C2214yes—
83#2710C2214yes—
84#2708C2214yes—
85#2704C2214yes—
86#2701C2214yes—
87#2696C2214yes—
88#2687C2214yes—
89#2686C2214yes—
90#2682C2214yes—
91#2676C2214yes—
92#2676C2214yes—
93#2674C2214yes—
94#2674C2214yes—
95#2672C2214yes—
96#2672C2214yes—
97#2671C2214yes—
98#2658C2214yes—
99#2654C2214yes—
100#2653C2214yes—
101#2651C2214yes—
102#2647C2212yes—
103#2644C2212yes—
104#2641C2212yes—
105#2640C2214yes—
106#2635C2214yes—
107#2633C2214yes—
108#2633C2214yes—
109#2630C2214yes—
110#2630C2214yes—
111#2629C2212yes—
112#2628C2214yes—
113#2624C2212yes—
114#2624C2212yes—
115#2624C2212yes—
116#2624C2212yes—
117#2624C2212yes—
118#2620C2212yes—
119#2619C2212yes—
120#2619C2212yes—
121#2611C2214yes—
122#2597C2212yes—
123#2595C2212yes—
124#2592C2211yescharacteristic
125#2592C2212yes—
126#2589C2214yes—
127#2587C2214yes—
128#2581C2212yes—
129#2580C2212yes—
130#2580C2212yes—
131#2580C2211yescharacteristic
132#2580C2212yes—
133#2580C2212yes—
134#2580C2212yes—
135#2577C2214yes—
136#2571C2211yescharacteristic
137#2570C2212yes—
138#2570C2211yescharacteristic
139#2566C2212yes—
140#2558C2214yes—
141#2556C2212yes—
142#2556C2212yes—
143#2555C2214yes—
144#2552C2211yescharacteristic
145#2551C2211yescharacteristic
146#2551C2212yes—
147#2551C2211yescharacteristic
148#2548C2212yes—
149#2548C2212yes—
150#2548C2212yes—
151#2548C2211yescharacteristic
152#2546C2212yes—
153#2546C2211yescharacteristic
154#2546C2212yes—
155#2544C2211yescharacteristic
156#2544C2212yes—
157#2542C2211yescharacteristic
158#2541C2211yescharacteristic
159#2541C2211yescharacteristic
160#2541C2212yes—
161#2541C2211yescharacteristic
162#2538C2211yescharacteristic
163#2538C2212yes—
164#2538C2211yescharacteristic
165#2537C2211yescharacteristic
166#2537C2211yescharacteristic
167#2537C2212yes—
168#2527C2214yes—
169#2526C2214yes—
170#2518C2214yes—
171#2516C2212yes—
172#2513C2211yescharacteristic
173#2511C2211yescharacteristic
174#2509C2212yes—
175#2506C2211yescharacteristic
176#2506C2211yescharacteristic
177#2506C2212yes—
178#2501C2212yes—
179#2500C2212yes—
180#2500C2212yes—
181#2497C2212yes—
182#2495C2212yes—
183#2494C2212yes—
184#2494C2212yes—
185#2493C2214yes—
186#2492C2212yes—
187#2491C2214yes—
188#2491C2212yes—
189#2491C2212yes—
190#2491C2212yes—
191#2491C2212yes—
192#2490C2212yes—
193#2490C2212yes—
194#2489C2212yes—
195#2487C2212yes—
196#2485C2212yes—
197#2474C2214yes—
198#2463C2214yes—
199#2461C2214yes—
200#2460C2214yes—
201#2460C2214yes—
202#2459C2214yes—
203#2458C2212yes—
204#2455C2214yes—
205#2454C2212yes—
206#2454C2212yes—
207#2454C2212yes—
208#2454C2212yes—
209#2454C2212yes—
210#2454C2212yes—
211#2454C2212yes—
212#2452C2211yescharacteristic
213#2452C2211yescharacteristic
214#2452C2212yes—
215#2451C2212yes—
216#2448C2212yes—
217#2447C2211yescharacteristic
218#2445C2212yes—
219#2445C2211yescharacteristic
220#2445C2212yes—
221#2442C2212yes—
222#2441C2212yes—
223#2441C2212yes—
224#2439C2212yes—
225#2439C2212yes—
226#2432C2214yes—
227#2432C2214yes—
228#2430C2214yes—
229#2429C2212yes—
230#2428C2212yes—
231#2428C2212yes—
232#2428C2212yes—
233#2428C2212yes—
234#2428C2212yes—
235#2427C2212yes—
236#2426C2212yes—
237#2422C2212yes—
238#2422C2212yes—
239#2420C2212yes—
240#2420C2212yes—
241#2420C2212yes—
242#2420C2212yes—
243#2416C2212yes—
244#2414C2212yes—
245#2414C2214yes—
246#2414C2212yes—
247#2414C2212yes—
248#2407C2214yes—
249#2398C2212yes—
250#2396C2212yes—
251#2396C2212yes—
252#2395C2212yes—
253#2388C2214yes—
254#2370C2212yes—
255#2363C2212yes—
256#2363C2212yes—
257#2361C2212yes—
258#2359C2214yes—
259#2357C2212yes—
260#2355C2211yescharacteristic
261#2355C2212yes—
262#2354C2211yescharacteristic
263#2354C2211yescharacteristic
264#2354C2211yescharacteristic
265#2354C2212yes—
266Q8×C4⋊C4C2211yescharacteristic
267#2349C2212yes—
268#2349C2212yes—
269#2349C2212yes—
270D4×C4⋊C4C2211yescharacteristic
271#2346C2212yes—
272#2331C2212yes—
273#2325C2214yes—
274#2324C2212yes—
275#2323C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C4⋊Q8C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×#123C2212yes—
287C4×#121C2212yes—
288C4×#121C2212yes—
289#2296C2212yes—
290#2295C2211yescharacteristic
291#2293C2211yescharacteristic
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294#2290C2212yes—
295#2283C2212yes—
296C42×Q8C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2314yes—
300#559—48no—
301#555—48no—
302#544—48no—
303#533—48no—
304#532—48no—
305#532—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2314yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2311yescharacteristic
335C2×#124C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×#117C2312yes—
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2314yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C42C2312yes—
404C22×C42C2312yes—
405#401C2314yes—
406#400C2312yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2312yes—
416#400C2314yes—
417#400C2312yes—
418#399C2312yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2312yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2312yes—
442#398C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2312yes—
446#397C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2312yes—
475#396C2312yes—
476#395C2312yes—
477#395C2314yes—
478#395C2312yes—
479#395C2314yes—
480#395C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2312yes—
519#393C2312yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2312yes—
525#393C2314yes—
526#393C2312yes—
527#393C2312yes—
528#393C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2311yescharacteristic
543#391C2311yescharacteristic
544#391C2312yes—
545#391C2314yes—
546#391C2314yes—
547#391C2314yes—
548#391C2314yes—
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2312yes—
552#390C2312yes—
553#390C2312yes—
554#390C2311yescharacteristic
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2311yescharacteristic
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2314yes—
583#390C2311yescharacteristic
584#390C2314yes—
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2311yescharacteristic
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2312yes—
616#389C2312yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2312yes—
626#389C2314yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2312yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#386C2312yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2312yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2311yescharacteristic
733#384C2312yes—
734#384C2312yes—
735#383C2314yes—
736#382C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2311yescharacteristic
742#382C2312yes—
743#382C2312yes—
744#382C2312yes—
745#381C2314yes—
746#381C2314yes—
747#381C2314yes—
748#381C2312yes—
749#380C2314yes—
750#380C2312yes—
751#380C2314yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2314yes—
764#380C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2314yes—
812C2×#95C2314yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C2×#41—48no—
817C2×#41—48no—
818C2×#41—84no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2414yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—42no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859C4⋊Q8—48no—
860C4⋊Q8—84no—
861#127—24no—
862#127—42no—
863#127—44no—
864#127—44no—
865#127—44no—
866#125—44no—
867#125—44no—
868#125—44no—
869#125—44no—
870#125—48no—
871#125—44no—
872#125—82no—
873#124—24no—
874#124—48no—
875#124—42no—
876#124—48no—
877#124—44no—
878#124—48no—
879#124—48no—
880#124—48no—
881#124—84no—
882#123—48no—
883#123—48no—
884#123—48no—
885#123—44no—
886#123—84no—
887C22⋊Q8—44no—
888C22⋊Q8—48no—
889C22⋊Q8—48no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895#121—28no—
896#121—48no—
897#121—48no—
898#121—48no—
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—
911C4×Q8—24no—
912C4×Q8—28no—
913C4×Q8—24no—
914C4×Q8—42no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—42no—
918C4×Q8—44no—
919C4×D4—24no—
920C4×D4—24no—
921C4×D4—28no—
922C4×D4—24no—
923C4×D4—24no—
924C4×D4—24no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—42no—
929C4×D4—42no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—44no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—48no—
936C4×D4—44no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—82no—
940C4×D4—82no—
941#117—28no—
942#117—44no—
943#117—44no—
944#117—44no—
945#117—48no—
946#117—44no—
947#117—44no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C42—28no—
1085C2×C42—44no—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2414yes—
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2412yes—
1115C2×C42C2414yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24C2512yes—
1182C24C2514yes—
1183C24C2512yes—
1184C24C2512yes—
1185#41—832no—
1186C2×Q8—22no—
1187C2×Q8—22no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—28no—
1191C2×Q8—24no—
1192C2×Q8—22no—
1193C2×Q8—22no—
1194C2×Q8—41no—
1195C2×Q8—41no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—44no—
1200C2×Q8—42no—
1201C2×Q8—42no—
1202C2×Q8—42no—
1203C2×Q8—44no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—22no—
1209C2×D4—28no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—22no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—24no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—42no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—44no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—42no—
1268C22×C4—42no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—44no—
1272C22×C4—44no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4C2511yescharacteristic
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2514yes—
1303C22×C4C2514yes—
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C4⋊C4—22no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—28no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4H(5,𝔽2)14yes—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—28no—
1393C22⋊C4—24no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—22no—
1455C42—24no—
1456C42—28no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—24no—
1461C42—24no—
1462C42—22no—
1463C42—24no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—42no—
1472C42—42no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—41no—
1477C42—41no—
1478C42—41no—
1479C42—41no—
1480C42—44no—
1481C42—41no—
1482C42H(5,𝔽2)14yes—
1483C422−1+414yes—
1484C23—22no—
1485C23—22no—
1486C23—24no—
1487C23—24no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—24no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—24no—
1500C23—22no—
1501C23—24no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—24no—
1506C23—22no—
1507C23—22no—
1508C23—24no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23C2611yescharacteristic
1513Q8—44no—
1514Q8—44no—
1515Q8—84no—
1516Q8—84no—
1517Q8—84no—
1518Q8—88no—
1519D4—48no—
1520D4—44no—
1521D4—48no—
1522D4—44no—
1523D4—44no—
1524D4—48no—
1525D4—84no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—88no—
1530D4—84no—
1531D4—88no—
1532D4—88no—
1533D4—164no—
1534D4—164no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—24no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—48no—
1618C2×C4—48no—
1619C2×C4—48no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—84no—
1623C2×C4—88no—
1624C2×C4—88no—
1625C2×C4—84no—
1626C2×C4—164no—
1627C2×C4—164no—
1628C2×C4C2×H(5,𝔽2)12yes—
1629C2×C4C2×H(5,𝔽2)12yes—
1630C2×C4C2×H(5,𝔽2)14yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×H(5,𝔽2)12yes—
1633C2×C4C2×2−1+412yes—
1634C2×C4C2×2−1+412yes—
1635C2×C4C2×2−1+412yes—
1636C2×C4#58512yes—
1637C2×C4#58512yes—
1638C2×C4#58512yes—
1639C22—42no—
1640C22—42no—
1641C22—44no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—44no—
1646C22—42no—
1647C22—42no—
1648C22—42no—
1649C22—44no—
1650C22—42no—
1651C22—44no—
1652C22—42no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—44no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—44no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22C22×H(5,𝔽2)11yescharacteristic
1668C22C22×H(5,𝔽2)11yescharacteristic
1669C22C22×2−1+411yescharacteristic
1670C22C2×#58511yescharacteristic
1671C22C2×#58511yescharacteristic
1672C22C2×#58511yescharacteristic
1673C22H(7,𝔽2)11yescharacteristic
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—24no—
1678C4—22no—
1679C4—42no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—41no—
1686C4—41no—
1687C4—42no—
1688C4—41no—
1689C4—44no—
1690C4—41no—
1691C4—42no—
1692C4—42no—
1693C4—44no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—42no—
1699C4—41no—
1700C4—41no—
1701C4—44no—
1702C4—41no—
1703C4#354714yes—
1704C4#355414yes—
1705C2—82no—
1706C2—82no—
1707C2—82no—
1708C2—84no—
1709C2C2×#355411yescharacteristic
1710C2C2×#354711yescharacteristic
1711C2#6275911yescharacteristic
1712C2#6291211yescharacteristic
1713C2#6292611yescharacteristic
1714C2#6296611yescharacteristic
1715C2#6301911yescharacteristic
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. #59822C2semidirect
2. #59641C2semidirect
3. #59640C2semidirect
4. #59260C2semidirect
5. #59115C2semidirect
6. #58732C2semidirect
7. #54787C2semidirect
8. #53115C2semidirect
9. #53110C2semidirect
10. #53057C2semidirect
11. #52973C2semidirect
12. #52338C2semidirect
13. #42968C2semidirect
14. #42751C2semidirect
15. #42734C2semidirect
16. #42632C2semidirect
17. #41061C2semidirect
18. #40144C2semidirect
19. #39853C2semidirect
20. #39718C2semidirect
21. #39370C2semidirect
22. #39194C2semidirect
23. #39191C2semidirect
24. #39181C2semidirect
25. #37756C2semidirect
26. #37626C2semidirect
27. #37625C2semidirect
28. #37619C2semidirect
29. #37508C2semidirect
30. #36573C2semidirect
31. #36416C2semidirect
32. #36174C2semidirect
33. #34929C2semidirect
34. #34925C2semidirect
35. #34918C2semidirect

Maximal subgroups

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

subgroupindex
#598222
#596412
#596402
#592602
#591152
#587322
#547872
#531152
#531102
#530572
#529732
#523382
#429682
#427512
#427342
#426322
#410612
#401442
#398532
#397182
#393702
#391942
#391912
#391812
#377562
#376262
#376252
#376192
#375082
#365732
#364162
#361742
#349292
#349252
#349182