Finite Group Databasebeta

← #8174552

Subgroups — #8174552

Order 512.

4289 conjugacy classes of subgroups.

The subgroup lattice has 1669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59249C211yesmaximal, characteristic, complemented
2#59218C211yesmaximal, characteristic, complemented
3#59067C211yesmaximal, characteristic, complemented
4#59052C211yesmaximal, characteristic, complemented
5#58822C214yesmaximal, complemented
6#56833C214yesmaximal, complemented
7#56780C214yesmaximal, complemented
8#56757C214yesmaximal, complemented
9#53067C212yesmaximal, complemented
10#53045C212yesmaximal, complemented
11#53007C212yesmaximal, complemented
12#52994C212yesmaximal, complemented
13#45427C212yesmaximal, complemented
14#45205C212yesmaximal, complemented
15#42836C212yesmaximal, complemented
16#42783C212yesmaximal, complemented
17#42777C212yesmaximal, complemented
18#42768C212yesmaximal, complemented
19#42711C212yesmaximal, complemented
20#42708C212yesmaximal, complemented
21#39599C211yesmaximal, characteristic, complemented
22#39598C211yesmaximal, characteristic, complemented
23#39192C212yesmaximal, complemented
24#39157C211yesmaximal, characteristic, complemented
25#39156C211yesmaximal, characteristic, complemented
26#39139C211yesmaximal, characteristic, complemented
27#38921C211yesmaximal, characteristic, complemented
28#38217C212yesmaximal, complemented
29#37628C212yesmaximal, complemented
30#37342C212yesmaximal, complemented
31#36481C211yesmaximal, characteristic, complemented
32#36287C211yesmaximal, characteristic, complemented
33#35297C211yesmaximal, characteristic, complemented
34#34911C211yesmaximal, characteristic
35#34627C211yesmaximal, characteristic, complemented
36C2×#557C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#529C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2863C2212yes—
43#2859C2212yes—
44#2857C2211yescharacteristic
45#2857C2211yescharacteristic
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2841C2214yes—
49#2839C2214yes—
50#2838C2214yes—
51#2837C2214yes—
52#2837C2214yes—
53#2837C2214yes—
54#2836C2214yes—
55#2836C2214yes—
56#2836C2214yes—
57#2829C2214yes—
58#2829C2214yes—
59#2823C2214yes—
60#2803C2214yes—
61#2801C2214yes—
62#2800C2214yes—
63#2796C2214yes—
64#2795C2214yes—
65#2793C2214yes—
66#2792C2214yes—
67#2792C2214yes—
68#2792C2214yes—
69#2792C2214yes—
70#2791C2214yes—
71#2787C2214yes—
72#2783C2214yes—
73#2777C2214yes—
74#2775C2214yes—
75#2773C2214yes—
76#2773C2214yes—
77#2773C2214yes—
78#2772C2214yes—
79#2772C2214yes—
80#2770C2214yes—
81#2767C2214yes—
82#2767C2214yes—
83#2766C2214yes—
84#2762C2214yes—
85#2757C2214yes—
86#2752C2214yes—
87#2740C2214yes—
88#2732C2214yes—
89#2726C2214yes—
90#2725C2214yes—
91#2725C2214yes—
92#2723C2214yes—
93#2721C2214yes—
94#2721C2214yes—
95#2720C2214yes—
96#2718C2214yes—
97#2705C2214yes—
98#2705C2214yes—
99#2704C2214yes—
100#2704C2214yes—
101#2698C2214yes—
102#2694C2214yes—
103#2690C2214yes—
104#2689C2214yes—
105#2689C2214yes—
106#2683C2214yes—
107#2680C2214yes—
108#2663C2214yes—
109#2654C2214yes—
110#2654C2214yes—
111#2654C2214yes—
112#2651C2214yes—
113#2650C2214yes—
114#2647C2214yes—
115#2645C2212yes—
116#2644C2212yes—
117#2644C2214yes—
118#2638C2212yes—
119#2638C2212yes—
120#2634C2212yes—
121#2633C2212yes—
122#2629C2212yes—
123#2629C2212yes—
124#2628C2211yescharacteristic
125#2628C2211yescharacteristic
126#2625C2212yes—
127#2625C2211yescharacteristic
128#2625C2211yescharacteristic
129#2625C2212yes—
130#2621C2211yescharacteristic
131#2621C2211yescharacteristic
132#2621C2212yes—
133#2616C2211yescharacteristic
134#2616C2212yes—
135#2616C2211yescharacteristic
136#2612C2214yes—
137#2606C2214yes—
138#2604C2212yes—
139#2603C2212yes—
140#2602C2212yes—
141#2602C2212yes—
142#2601C2214yes—
143#2595C2214yes—
144#2592C2211yescharacteristic
145#2584C2212yes—
146#2584C2212yes—
147#2584C2211yescharacteristic
148#2584C2212yes—
149#2582C2212yes—
150#2582C2211yescharacteristic
151#2581C2212yes—
152#2575C2214yes—
153#2571C2212yes—
154#2567C2211yescharacteristic
155#2567C2211yescharacteristic
156#2562C2212yes—
157#2562C2211yescharacteristic
158#2556C2214yes—
159#2552C2212yes—
160#2552C2212yes—
161#2552C2212yes—
162#2552C2212yes—
163#2552C2211yescharacteristic
164#2552C2211yescharacteristic
165#2546C2211yescharacteristic
166#2546C2212yes—
167#2542C2212yes—
168#2542C2212yes—
169#2542C2211yescharacteristic
170#2540C2211yescharacteristic
171#2538C2212yes—
172#2538C2212yes—
173#2538C2212yes—
174#2538C2212yes—
175#2538C2211yescharacteristic
176#2536C2212yes—
177#2536C2212yes—
178#2530C2214yes—
179#2529C2214yes—
180#2522C2214yes—
181#2513C2214yes—
182#2513C2214yes—
183#2512C2212yes—
184#2512C2214yes—
185#2511C2212yes—
186#2509C2214yes—
187#2509C2212yes—
188#2509C2212yes—
189#2507C2212yes—
190#2507C2214yes—
191#2507C2214yes—
192#2507C2214yes—
193#2507C2214yes—
194#2506C2212yes—
195#2499C2212yes—
196#2497C2212yes—
197#2497C2212yes—
198#2497C2212yes—
199#2496C2212yes—
200#2496C2212yes—
201#2496C2212yes—
202#2496C2212yes—
203#2496C2212yes—
204#2494C2212yes—
205#2490C2212yes—
206#2490C2212yes—
207#2490C2212yes—
208#2489C2212yes—
209#2489C2212yes—
210#2489C2212yes—
211#2486C2212yes—
212#2485C2212yes—
213#2485C2212yes—
214#2485C2212yes—
215#2478C2214yes—
216#2462C2214yes—
217#2454C2212yes—
218#2453C2212yes—
219#2451C2212yes—
220#2448C2212yes—
221#2447C2212yes—
222#2446C2212yes—
223#2441C2212yes—
224#2441C2212yes—
225#2441C2212yes—
226#2441C2212yes—
227#2440C2212yes—
228#2429C2212yes—
229#2429C2212yes—
230#2429C2212yes—
231#2429C2212yes—
232#2429C2212yes—
233#2429C2212yes—
234#2423C2214yes—
235#2423C2212yes—
236#2423C2212yes—
237#2423C2212yes—
238#2423C2212yes—
239#2422C2212yes—
240#2421C2212yes—
241#2421C2212yes—
242#2417C2212yes—
243#2417C2212yes—
244#2415C2212yes—
245#2415C2211yescharacteristic
246#2415C2212yes—
247#2415C2211yescharacteristic
248#2415C2212yes—
249#2415C2212yes—
250#2414C2211yescharacteristic
251#2414C2211yescharacteristic
252#2399C2212yes—
253#2398C2212yes—
254#2395C2212yes—
255#2395C2212yes—
256#2395C2212yes—
257#2388C2212yes—
258#2370C2212yes—
259#2370C2212yes—
260#2370C2212yes—
261#2370C2212yes—
262#2369C2211yescharacteristic
263#2365C2211yescharacteristic
264#2363C2212yes—
265#2362C2212yes—
266#2362C2212yes—
267#2360C2212yes—
268#2355C2212yes—
269#2355C2211yescharacteristic
270#2354C2211yescharacteristic
271Q8×C4⋊C4C2212yes—
272Q8×C4⋊C4C2211yescharacteristic
273Q8×C4⋊C4C2211yescharacteristic
274#2347C2212yes—
275#2346C2212yes—
276#2330C2212yes—
277#2330C2212yes—
278#2324C2212yes—
279#2323C2212yes—
280#2323C2212yes—
281#2323C2212yes—
282#2323C2212yes—
283#2317C2212yes—
284C4×C4⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293#2295C2212yes—
294#2293C2212yes—
295#2293C2212yes—
296#2285C2211yescharacteristic
297#2283C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300#557—44no—
301#554—44no—
302#533—44no—
303#533—44no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310#529—44no—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#126C2314yes—
315C2×#125C2312yes—
316C2×#125C2312yes—
317C2×#125C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#124C2311yescharacteristic
325C2×#123C2312yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2311yescharacteristic
328C2×C22⋊Q8C2311yescharacteristic
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2311yescharacteristic
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2311yescharacteristic
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2311yescharacteristic
350C2×#121C2311yescharacteristic
351C2×#121C2311yescharacteristic
352C4×#41—44no—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2311yescharacteristic
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C22×C4⋊C4C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391#401C2314yes—
392#400C2314yes—
393#400C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2312yes—
409#400C2314yes—
410#400C2312yes—
411#400C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2312yes—
415#399C2314yes—
416#399C2314yes—
417#399C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2312yes—
421#399C2312yes—
422#399C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2312yes—
430#398C2312yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2312yes—
450#398C2312yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2314yes—
479#397C2312yes—
480#397C2312yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#395C2314yes—
502#395C2314yes—
503#395C2314yes—
504#395C2312yes—
505#395C2312yes—
506#395C2314yes—
507#395C2314yes—
508#395C2312yes—
509#395C2312yes—
510#395C2312yes—
511#394C2312yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2312yes—
529#393C2312yes—
530#393C2312yes—
531#393C2312yes—
532#392C2312yes—
533#392C2312yes—
534#392C2312yes—
535#391C2311yescharacteristic
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2311yescharacteristic
544#391C2312yes—
545#391C2314yes—
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2312yes—
549#391C2311yescharacteristic
550#391C2312yes—
551#391C2314yes—
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2311yescharacteristic
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2314yes—
581#389C2312yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2314yes—
616#389C2312yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2314yes—
622#389C2312yes—
623#389C2314yes—
624#389C2314yes—
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2314yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2314yes—
632#389C2312yes—
633#389C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2314yes—
727#384C2314yes—
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2312yes—
731#384C2311yescharacteristic
732#384C2312yes—
733#384C2312yes—
734#384C2314yes—
735#384C2314yes—
736#383C2314yes—
737#383C2312yes—
738#382C2311yescharacteristic
739#382C2314yes—
740#382C2312yes—
741#382C2314yes—
742#382C2312yes—
743#382C2314yes—
744#382C2314yes—
745#382C2311yescharacteristic
746#381C2314yes—
747#381C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
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—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813#376C2314yes—
814#376C2312yes—
815C43C2312yes—
816C2×#41—42no—
817C2×#41—42no—
818C2×#41—42no—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2412yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2411yescharacteristic
830C22×D4C2411yescharacteristic
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C23×C4C2412yes—
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C4⋊Q8—24no—
845C4⋊Q8—24no—
846C4⋊Q8—42no—
847C4⋊Q8—44no—
848C4⋊Q8—42no—
849C4⋊Q8—44no—
850#126—44no—
851#126—84no—
852#126—84no—
853#126—84no—
854#125—28no—
855#125—28no—
856#125—42no—
857#125—44no—
858#125—44no—
859#125—44no—
860#125—44no—
861#125—48no—
862#125—84no—
863#124—42no—
864#123—44no—
865#123—84no—
866C22⋊Q8—24no—
867C22⋊Q8—24no—
868C22⋊Q8—48no—
869C22⋊Q8—44no—
870C22⋊Q8—42no—
871C22⋊Q8—44no—
872C22⋊Q8—42no—
873C22⋊Q8—44no—
874C22⋊Q8—44no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—42no—
878C22⋊Q8—42no—
879C22⋊Q8—42no—
880C22⋊Q8—42no—
881C22⋊Q8—44no—
882C22⋊Q8—42no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—84no—
886C22⋊Q8—82no—
887C22⋊Q8—82no—
888#121—24no—
889#121—24no—
890#121—42no—
891C4×Q8—24no—
892C4×Q8—24no—
893C4×Q8—24no—
894C4×Q8—42no—
895C4×Q8—42no—
896C4×Q8—44no—
897C4×Q8—44no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×D4—24no—
905C4×D4—44no—
906C4×D4—44no—
907C4×D4—44no—
908C4×D4—42no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—42no—
914C4×D4—44no—
915#117—24no—
916#117—24no—
917#117—42no—
918#117—42no—
919#117—42no—
920#117—44no—
921#117—44no—
922#117—44no—
923#117—44no—
924#117—82no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C42—24no—
1063C2×C42—24no—
1064C2×C42—24no—
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2412yes—
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2411yescharacteristic
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2411yescharacteristic
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167C24C2512yes—
1168C24C2511yescharacteristic
1169C24C2511yescharacteristic
1170C24C2511yescharacteristic
1171#41—416no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—24no—
1176C2×Q8—24no—
1177C2×Q8—22no—
1178C2×Q8—22no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—24no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—41no—
1186C2×Q8—41no—
1187C2×Q8—41no—
1188C2×Q8—42no—
1189C2×Q8—42no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—42no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—42no—
1213C2×D4—42no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4C2511yescharacteristic
1248C22×C4C2511yescharacteristic
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2512yes—
1252C22×C4C2511yescharacteristic
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2512yes—
1257C22×C4C2514yes—
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2511yescharacteristic
1262C22×C4C2511yescharacteristic
1263C22×C4C2512yes—
1264C22×C4C2514yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C22×C4C2512yes—
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C4⋊C4—22no—
1279C4⋊C4—24no—
1280C4⋊C4—24no—
1281C4⋊C4—24no—
1282C4⋊C4—22no—
1283C4⋊C4—22no—
1284C4⋊C4—22no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—28no—
1294C4⋊C4—28no—
1295C4⋊C4—28no—
1296C4⋊C4—28no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—24no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—44no—
1306C4⋊C4—42no—
1307C4⋊C4—44no—
1308C4⋊C4—42no—
1309C4⋊C4—42no—
1310C4⋊C4—42no—
1311C4⋊C4—44no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—42no—
1321C4⋊C4—42no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—44no—
1328C4⋊C4—44no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—42no—
1332C4⋊C4—42no—
1333C4⋊C4—44no—
1334C4⋊C4—42no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C42−1+414yes—
1363C4⋊C42−1+414yes—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—44no—
1385C22⋊C4—42no—
1386C22⋊C4—44no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—42no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—44no—
1441C42—42no—
1442C42—44no—
1443C42H(5,𝔽2)14yes—
1444C23—22no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—22no—
1453C23—22no—
1454C23—21no—
1455C23—21no—
1456C23—22no—
1457C23—22no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—22no—
1472C23C2611yescharacteristic
1473Q8—44no—
1474Q8—44no—
1475Q8—44no—
1476Q8—48no—
1477Q8—44no—
1478Q8—84no—
1479Q8—84no—
1480D4—44no—
1481D4—44no—
1482D4—44no—
1483D4—44no—
1484D4—84no—
1485D4—84no—
1486D4—84no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—24no—
1509C2×C4—24no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—24no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—21no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—44no—
1572C2×C4—48no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—82no—
1580C2×C4—82no—
1581C2×C4—164no—
1582C2×C4C2×H(5,𝔽2)12yes—
1583C2×C4C2×H(5,𝔽2)12yes—
1584C2×C4C2×H(5,𝔽2)12yes—
1585C2×C4C2×2−1+414yes—
1586C2×C4C2×2−1+414yes—
1587C2×C4C2×2−1+412yes—
1588C2×C4C2×2−1+412yes—
1589C2×C4#58512yes—
1590C2×C4#58512yes—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—42no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—42no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—42no—
1603C22—41no—
1604C22—41no—
1605C22—42no—
1606C22—42no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—42no—
1616C22—42no—
1617C22—41no—
1618C22—41no—
1619C22C22×H(5,𝔽2)11yescharacteristic
1620C22C22×2−1+411yescharacteristic
1621C22C22×2−1+411yescharacteristic
1622C22C2×#58511yescharacteristic
1623C22C2×#58511yescharacteristic
1624C22H(7,𝔽2)11yescharacteristic
1625C222−1+611yescharacteristic
1626C4—22no—
1627C4—24no—
1628C4—24no—
1629C4—42no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—42no—
1634C4—42no—
1635C4—44no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—42no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—42no—
1644C4—44no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—42no—
1650C4—42no—
1651C4—42no—
1652C4—42no—
1653C4—44no—
1654C4—44no—
1655C4#353914yes—
1656C4#355014yes—
1657C2—81no—
1658C2—81no—
1659C2—81no—
1660C2—82no—
1661C2C2×#353911yescharacteristic
1662C2C2×#355011yescharacteristic
1663C2#6287511yescharacteristic
1664C2#6295011yescharacteristic
1665C2#6295011yescharacteristic
1666C2#6295211yescharacteristic
1667C2#6295211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34911C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59249C2semidirect
2. #59218C2semidirect
3. #59067C2semidirect
4. #59052C2semidirect
5. #58822C2semidirect
6. #56833C2semidirect
7. #56780C2semidirect
8. #56757C2semidirect
9. #53067C2semidirect
10. #53045C2semidirect
11. #53007C2semidirect
12. #52994C2semidirect
13. #45427C2semidirect
14. #45205C2semidirect
15. #42836C2semidirect
16. #42783C2semidirect
17. #42777C2semidirect
18. #42768C2semidirect
19. #42711C2semidirect
20. #42708C2semidirect
21. #39599C2semidirect
22. #39598C2semidirect
23. #39192C2semidirect
24. #39157C2semidirect
25. #39156C2semidirect
26. #39139C2semidirect
27. #38921C2semidirect
28. #38217C2semidirect
29. #37628C2semidirect
30. #37342C2semidirect
31. #36481C2semidirect
32. #36287C2semidirect
33. #35297C2semidirect
35. #34627C2semidirect

Maximal subgroups

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

subgroupindex
#592492
#592182
#590672
#590522
#588222
#568332
#567802
#567572
#530672
#530452
#530072
#529942
#454272
#452052
#428362
#427832
#427772
#427682
#427112
#427082
#395992
#395982
#391922
#391572
#391562
#391392
#389212
#382172
#376282
#373422
#364812
#362872
#352972
#349112
#346272