Finite Group Databasebeta

← #8110417

Subgroups — #8110417

Order 512.

5516 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59023C212yesmaximal, complemented
2#59003C212yesmaximal, complemented
3#53298C212yesmaximal, complemented
4#53296C212yesmaximal, complemented
5#53236C214yesmaximal, complemented
6#45596C214yesmaximal, complemented
7#45594C212yesmaximal, complemented
8#45593C212yesmaximal, complemented
9#45529C214yesmaximal, complemented
10#39912C212yesmaximal, complemented
11#39865C212yesmaximal, complemented
12#39550C212yesmaximal, complemented
13#39512C211yesmaximal, characteristic, complemented
14#39486C211yesmaximal, characteristic, complemented
15#39415C212yesmaximal, complemented
16#39383C211yesmaximal, characteristic, complemented
17#39359C211yesmaximal, characteristic, complemented
18#38512C214yesmaximal, complemented
19#38125C212yesmaximal, complemented
20#38082C212yesmaximal, complemented
21#38062C212yesmaximal, complemented
22#38033C212yesmaximal, complemented
23#37338C212yesmaximal, complemented
24#37332C212yesmaximal, complemented
25#37217C212yesmaximal, complemented
26#37155C212yesmaximal, complemented
27#36710C212yesmaximal, complemented
28#36709C212yesmaximal, complemented
29#36624C211yesmaximal, characteristic, complemented
30#36621C211yesmaximal, characteristic, complemented
31C2×#2854C211yesmaximal, characteristic, complemented
32C2×#550C2212yes—
33C2×#547C2212yes—
34C2×#546C2212yes—
35C2×#538C2212yes—
36C2×#537C2212yes—
37C2×#532C2211yescharacteristic, complemented
38C2×#529C2211yescharacteristic, complemented
39C2×#525C2212yes—
40C22×#123C2212yes—
41C22×#121C2211yescharacteristic
42C23×C42C2211yescharacteristic
43#2857C2211yescharacteristic
44#2857C2211yescharacteristic, complemented
45#2856C2211yescharacteristic
46#2856C2211yescharacteristic, complemented
47#2855C2211yescharacteristic, complemented
48#2854C2212yes—
49#2854C2212yes—
50#2854C2212yes—
51#2854C2212yes—
52#2854C2212yes—
53#2854C2212yes—
54#2854C2212yes—
55#2854C2212yes—
56#2854C2211yescharacteristic, complemented
57#2854C2212yescomplemented
58#2854C2212yescomplemented
59#2853C2212yescomplemented
60#2852C2212yes—
61#2852C2212yescomplemented
62#2851C2211yescharacteristic
63#2851C2211yescharacteristic, complemented
64#2850C2211yescharacteristic
65#2850C2212yes—
66#2850C2211yescharacteristic, complemented
67#2850C2212yescomplemented
68#2849C2212yes—
69#2848C2211yescharacteristic
70#2847C2211yescharacteristic
71#2847C2212yes—
72#2847C2212yes—
73#2825C2214yescomplemented
74#2824C2214yescomplemented
75#2810C2212yescomplemented
76#2808C2214yescomplemented
77#2805C2212yescomplemented
78#2801C2214yescomplemented
79#2797C2214yescomplemented
80#2788C2214yescomplemented
81#2787C2214yescomplemented
82#2784C2214yescomplemented
83#2779C2214yescomplemented
84#2779C2214yescomplemented
85#2779C2214yescomplemented
86#2778C2214yescomplemented
87#2778C2214yescomplemented
88#2777C2214yescomplemented
89#2776C2214yescomplemented
90#2760C2214yescomplemented
91#2757C2214yescomplemented
92#2756C2214yescomplemented
93#2752C2214yescomplemented
94#2749C2214yescomplemented
95#2743C2214yescomplemented
96#2739C2214yescomplemented
97#2737C2214yescomplemented
98#2733C2212yescomplemented
99#2724C2212yescomplemented
100#2714C2214yescomplemented
101#2709C2214yescomplemented
102#2703C2214yescomplemented
103#2703C2214yescomplemented
104#2703C2214yescomplemented
105#2703C2214yescomplemented
106#2703C2214yescomplemented
107#2702C2214yescomplemented
108#2701C2214yescomplemented
109#2700C2214yescomplemented
110#2699C2214yescomplemented
111#2696C2214yescomplemented
112#2696C2214yescomplemented
113#2696C2214yescomplemented
114#2696C2214yescomplemented
115#2696C2214yescomplemented
116#2696C2214yescomplemented
117#2695C2214yescomplemented
118#2695C2214yescomplemented
119#2693C2214yescomplemented
120#2693C2214yescomplemented
121#2693C2214yescomplemented
122#2693C2214yescomplemented
123#2688C2214yescomplemented
124#2688C2214yescomplemented
125#2687C2214yescomplemented
126#2683C2212yescomplemented
127#2682C2214yes—
128#2682C2212yescomplemented
129#2682C2212yescomplemented
130#2682C2212yescomplemented
131#2681C2214yescomplemented
132#2673C2214yes—
133#2673C2214yescomplemented
134#2673C2214yescomplemented
135#2673C2214yescomplemented
136#2673C2214yescomplemented
137#2673C2214yescomplemented
138#2673C2214yescomplemented
139#2672C2214yescomplemented
140#2672C2214yescomplemented
141#2671C2214yescomplemented
142#2671C2214yescomplemented
143#2650C2214yescomplemented
144#2645C2212yescomplemented
145#2640C2212yescomplemented
146#2635C2214yescomplemented
147#2627C2212yes—
148#2624C2212yescomplemented
149#2619C2212yescomplemented
150#2618C2212yes—
151#2617C2212yes—
152#2617C2212yes—
153#2600C2214yescomplemented
154#2591C2214yes—
155#2581C2212yescomplemented
156#2577C2214yescomplemented
157#2576C2214yescomplemented
158#2572C2214yescomplemented
159#2570C2212yescomplemented
160#2563C2212yescomplemented
161#2560C2214yescomplemented
162#2559C2214yescomplemented
163#2555C2214yescomplemented
164#2548C2212yescomplemented
165#2544C2212yescomplemented
166#2543C2214yescomplemented
167#2541C2212yes—
168#2541C2212yescomplemented
169#2535C2212yescomplemented
170#2534C2214yes—
171#2514C2212yescomplemented
172#2512C2212yescomplemented
173#2510C2214yes—
174#2510C2214yescomplemented
175#2509C2212yescomplemented
176#2504C2212yescomplemented
177#2503C2212yes—
178#2495C2212yescomplemented
179#2493C2214yes—
180#2492C2212yescomplemented
181#2488C2214yescomplemented
182#2487C2214yes—
183#2467C2214yescomplemented
184#2460C2214yescomplemented
185#2457C2214yescomplemented
186#2456C2214yes—
187#2452C2212yescomplemented
188#2450C2214yescomplemented
189#2448C2212yescomplemented
190#2447C2212yescomplemented
191#2446C2212yescomplemented
192#2445C2212yescomplemented
193#2444C2214yes—
194#2440C2212yescomplemented
195#2439C2212yescomplemented
196#2433C2214yes—
197#2433C2212yes—
198#2432C2212yescomplemented
199#2431C2212yes—
200#2431C2212yescomplemented
201#2430C2214yes—
202#2428C2212yes—
203#2428C2214yes—
204#2428C2212yescomplemented
205#2427C2212yescomplemented
206#2426C2212yes—
207#2424C2214yes—
208#2424C2214yes—
209#2422C2212yescomplemented
210#2420C2212yescomplemented
211#2419C2214yes—
212#2417C2212yes—
213#2417C2212yescomplemented
214#2416C2212yes—
215#2416C2212yescomplemented
216#2414C2212yes—
217#2412C2214yes—
218#2412C2214yes—
219#2412C2214yes—
220#2410C2214yes—
221#2407C2212yes—
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2404C2214yes—
225#2404C2214yes—
226#2404C2214yes—
227#2380C2214yescomplemented
228#2377C2214yescomplemented
229#2363C2212yes—
230#2361C2212yes—
231#2360C2212yes—
232#2358C2214yes—
233#2352C2212yescomplemented
234#2339C2214yes—
235#2339C2212yescomplemented
236#2335C2214yescomplemented
237#2328C2212yescomplemented
238#2325C2214yescomplemented
239#2323C2212yescomplemented
240#2319C2212yescomplemented
241#2315C2212yes—
242#2313C2212yes—
243#2311C2212yescomplemented
244C4×C22⋊Q8C2211yescharacteristic
245C4×C22⋊Q8C2211yescharacteristic, complemented
246C4×#123C2212yescomplemented
247C4×#121C2211yescharacteristic
248C4×#121C2212yes—
249C4×#121C2212yes—
250C4×#121C2211yescharacteristic, complemented
251C4×#121C2212yescomplemented
252C4×#121C2212yescomplemented
253C4×#120C2212yes—
254#2297C2212yescomplemented
255C2×#390C2211yescharacteristic
256C2×#390C2211yescharacteristic
257C2×#389C2211yescharacteristic
258C2×#389C2211yescharacteristic
259#2290C2212yes—
260#2290C2212yescomplemented
261C2×#388C2212yes—
262C2×#388C2212yes—
263C2×#386C2212yes—
264#2285C2211yescharacteristic, complemented
265#2283C2211yescharacteristic, complemented
266C2×#380C2211yescharacteristic
267C22×#41C2312yes—
268C22×#41C2312yes—
269C22×#41C2314yes—
270C23×D4C2311yescharacteristic
271C23×D4C2312yes—
272C24×C4C2311yescharacteristic
273C24×C4C2311yescharacteristic
274C24×C4C2311yescharacteristic
275#550—48no—
276#547—48no—
277#546—48no—
278#538—48no—
279#537—48no—
280#532—44no—
281C2×C4⋊Q8C2312yes—
282C2×C4⋊Q8C2311yescharacteristic
283C2×#127C2312yes—
284C2×#127C2311yescharacteristic
285C2×#127C2312yes—
286C2×#127C2314yes—
287C2×#127C2314yes—
288#529—44no—
289C2×#126C2314yes—
290C2×#126C2312yes—
291C2×#125C2311yescharacteristic
292C2×#124C2311yescharacteristic
293C2×#124C2312yes—
294C2×#124C2312yes—
295C2×#124C2314yes—
296#525—48no—
297C2×#123—48no—
298C2×#123C2314yes—
299C2×#123C2312yes—
300C2×#123C2312yes—
301C2×#123C2314yes—
302C2×#123C2314yes—
303C2×#123C2314yes—
304C2×#123C2314yes—
305C2×#123C2314yes—
306C2×#123C2314yes—
307C2×#123C2314yes—
308C2×#123C2314yes—
309C2×#123C2314yes—
310C2×C22⋊Q8C2311yescharacteristic
311C2×C22⋊Q8C2312yes—
312C2×C22⋊Q8C2314yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2311yescharacteristic
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×#121—44no—
320C2×#121C2311yescharacteristic
321C2×#121C2312yes—
322C2×#121C2312yes—
323C2×#121C2312yes—
324C2×#121C2314yes—
325C2×#121C2314yes—
326C2×#121C2311yescharacteristic
327C2×#121C2312yes—
328C2×#121C2311yescharacteristic
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#120C2314yes—
348C2×#120C2312yes—
349C2×#120C2314yes—
350C2×#120C2314yes—
351C2×#120C2314yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2314yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2314yes—
367C2×#117C2312yes—
368C2×#117C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C22⋊C4C2312yes—
376C22×C22⋊C4C2314yes—
377C22×C22⋊C4C2312yes—
378C22×C22⋊C4C2312yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C42—44no—
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2311yescharacteristic
391C22×C42C2311yescharacteristic
392C22×C42C2311yescharacteristic
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395#401C2314yes—
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#399C2314yes—
411#399C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#397C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#396C2314yes—
432#396C2314yes—
433#396C2314yes—
434#396C2314yes—
435#396C2314yes—
436#396C2314yes—
437#396C2314yes—
438#396C2314yes—
439#395C2314yes—
440#395C2314yes—
441#394C2314yes—
442#394C2314yes—
443#394C2314yes—
444#394C2314yes—
445#394C2314yes—
446#394C2314yes—
447#394C2314yes—
448#394C2314yes—
449#394C2314yes—
450#394C2314yes—
451#394C2314yes—
452#394C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#393C2314yes—
471#393C2314yes—
472#392C2314yes—
473#392C2314yes—
474#392C2314yes—
475#392C2314yes—
476#392C2314yes—
477#392C2314yes—
478#392C2314yes—
479#392C2314yes—
480#392C2314yes—
481#392C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#392C2314yes—
487#392C2314yes—
488#392C2314yes—
489#392C2314yes—
490#392C2314yes—
491#391C2314yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2314yes—
498#391C2312yes—
499#391C2312yes—
500#391C2312yes—
501#390C2314yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2312yes—
511#390C2312yes—
512#390C2312yes—
513#390C2312yes—
514#390C2312yes—
515#390C2312yes—
516#390C2312yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2312yes—
523#390C2314yes—
524#390C2314yes—
525#390C2314yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2312yes—
532#389C2314yes—
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2312yes—
548#389C2312yes—
549#388C2312yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2314yes—
563#388C2314yes—
564#388C2312yes—
565#388C2314yes—
566#388C2314yes—
567#388C2312yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2312yes—
591#387C2314yes—
592#387C2314yes—
593#387C2312yes—
594#387C2314yes—
595#387C2314yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2312yes—
601#387C2312yes—
602#387C2314yes—
603#386C2314yes—
604#386C2314yes—
605#386C2314yes—
606#386C2314yes—
607#386C2314yes—
608#386C2312yes—
609#386C2314yes—
610#386C2314yes—
611#386C2314yes—
612#386C2314yes—
613#386C2314yes—
614#386C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2312yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2312yes—
627#386C2314yes—
628#386C2314yes—
629#386C2312yes—
630#386C2312yes—
631#386C2312yes—
632#386C2312yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2312yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#383C2312yes—
680#383C2314yes—
681#383C2314yes—
682#382C2312yes—
683#382C2312yes—
684#382C2312yes—
685#382C2311yescharacteristic
686#382C2311yescharacteristic
687#381C2314yes—
688#381C2314yes—
689#381C2314yes—
690#381C2314yes—
691#381C2312yes—
692#381C2312yes—
693#381C2314yes—
694#381C2314yes—
695#380C2314yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2311yescharacteristic
700#380C2312yes—
701#380C2311yescharacteristic
702#380C2314yes—
703#380C2314yes—
704#380C2312yes—
705#380C2314yes—
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2312yes—
709#380C2311yescharacteristic
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#379C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C22⋊C4C2314yes—
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2314yes—
735C4×C22⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740#376C2312yes—
741C2×#95C2314yes—
742C2×#95C2312yes—
743C2×#95C2312yes—
744C2×#95C2312yes—
745C25C2411yescharacteristic
746C25C2412yes—
747C2×#41—28no—
748C2×#41—48no—
749C2×#41—48no—
750C2×#41—48no—
751C2×#41—44no—
752C2×#41—44no—
753C2×#41—44no—
754C2×#41—44no—
755C2×#41—44no—
756C22×Q8C2412yes—
757C22×Q8C2411yescharacteristic
758C22×Q8C2414yes—
759C22×D4—24no—
760C22×D4—42no—
761C22×D4—42no—
762C22×D4—44no—
763C22×D4—44no—
764C22×D4—44no—
765C22×D4C2414yes—
766C22×D4C2412yes—
767C22×D4C2412yes—
768C22×D4C2412yes—
769C22×D4C2414yes—
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2411yescharacteristic
773C22×D4C2412yes—
774C22×D4C2412yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2414yes—
784C22×D4C2414yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C23×C4—24no—
788C23×C4—24no—
789C23×C4—24no—
790C23×C4—42no—
791C23×C4—42no—
792C23×C4—42no—
793C23×C4—42no—
794C23×C4—42no—
795C23×C4—42no—
796C23×C4C2412yes—
797C23×C4C2412yes—
798C23×C4C2411yescharacteristic
799C23×C4C2411yescharacteristic
800C23×C4C2411yescharacteristic
801C23×C4C2411yescharacteristic
802C23×C4C2411yescharacteristic
803C23×C4C2411yescharacteristic
804C23×C4C2411yescharacteristic
805C23×C4C2411yescharacteristic
806C23×C4C2411yescharacteristic
807C23×C4C2411yescharacteristic
808C23×C4C2411yescharacteristic
809C23×C4C2411yescharacteristic
810C23×C4C2412yes—
811C23×C4C2411yescharacteristic
812C23×C4C2411yescharacteristic
813C23×C4C2412yes—
814C23×C4C2414yes—
815C23×C4C2411yescharacteristic
816C23×C4C2411yescharacteristic
817C23×C4C2414yes—
818C23×C4C2414yes—
819C23×C4C2414yes—
820C23×C4C2414yes—
821C23×C4C2414yes—
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C4⋊Q8—44no—
825C4⋊Q8—42no—
826#127—44no—
827#127—42no—
828#127—44no—
829#127—48no—
830#127—48no—
831#126—44no—
832#126—48no—
833#125—42no—
834#124—42no—
835#124—44no—
836#124—44no—
837#124—48no—
838#123—48no—
839#123—48no—
840#123—48no—
841#123—48no—
842#123—48no—
843#123—48no—
844#123—48no—
845#123—44no—
846#123—48no—
847#123—44no—
848#123—48no—
849#123—48no—
850C22⋊Q8—28no—
851C22⋊Q8—24no—
852C22⋊Q8—42no—
853C22⋊Q8—42no—
854C22⋊Q8—48no—
855C22⋊Q8—48no—
856C22⋊Q8—48no—
857C22⋊Q8—44no—
858C22⋊Q8—44no—
859#121—28no—
860#121—28no—
861#121—24no—
862#121—28no—
863#121—44no—
864#121—48no—
865#121—48no—
866#121—48no—
867#121—48no—
868#121—48no—
869#121—48no—
870#121—48no—
871#121—48no—
872#121—44no—
873#121—44no—
874#121—44no—
875#121—44no—
876#121—44no—
877#121—44no—
878#121—44no—
879#121—44no—
880#121—44no—
881#121—42no—
882#121—42no—
883#121—44no—
884#121—44no—
885#121—48no—
886#120—48no—
887#120—44no—
888#120—48no—
889#120—48no—
890#120—48no—
891C4×Q8—42no—
892C4×Q8—44no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—44no—
896C4×D4—44no—
897C4×D4—44no—
898C4×D4—44no—
899C4×D4—42no—
900C4×D4—44no—
901C4×D4—44no—
902C4×D4—48no—
903C4×D4—48no—
904C4×D4—48no—
905C4×D4—48no—
906#117—44no—
907#117—44no—
908C2×C4⋊C4—28no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—42no—
911C2×C4⋊C4—42no—
912C2×C4⋊C4—44no—
913C2×C4⋊C4—44no—
914C2×C4⋊C4C2412yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2412yes—
918C2×C4⋊C4C2414yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2412yes—
921C2×C4⋊C4C2412yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2412yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2412yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2414yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2414yes—
958C2×C22⋊C4—28no—
959C2×C22⋊C4—44no—
960C2×C22⋊C4—44no—
961C2×C22⋊C4—48no—
962C2×C22⋊C4—44no—
963C2×C22⋊C4—44no—
964C2×C22⋊C4—44no—
965C2×C22⋊C4C2412yes—
966C2×C22⋊C4C2414yes—
967C2×C22⋊C4C2414yes—
968C2×C22⋊C4C2414yes—
969C2×C22⋊C4C2414yes—
970C2×C22⋊C4C2414yes—
971C2×C22⋊C4C2412yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2414yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2414yes—
979C2×C22⋊C4C2412yes—
980C2×C22⋊C4C2412yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2414yes—
985C2×C22⋊C4C2414yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2414yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2412yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2412yes—
1026C2×C42—24no—
1027C2×C42—24no—
1028C2×C42—42no—
1029C2×C42—42no—
1030C2×C42—42no—
1031C2×C42—42no—
1032C2×C42—42no—
1033C2×C42—42no—
1034C2×C42—42no—
1035C2×C42—42no—
1036C2×C42—42no—
1037C2×C42—42no—
1038C2×C42C2411yescharacteristic
1039C2×C42C2412yes—
1040C2×C42C2412yes—
1041C2×C42C2412yes—
1042C2×C42C2411yescharacteristic
1043C2×C42C2411yescharacteristic
1044C2×C42C2411yescharacteristic
1045C2×C42C2411yescharacteristic
1046C2×C42C2411yescharacteristic
1047C2×C42C2411yescharacteristic
1048C2×C42C2411yescharacteristic
1049C2×C42C2414yes—
1050C2×C42C2414yes—
1051C2×C42C2414yes—
1052C2×C42C2414yes—
1053C2×C42C2411yescharacteristic
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061#95C2414yes—
1062#95C2412yes—
1063#95C2414yes—
1064#95C2414yes—
1065#95C2414yes—
1066#95C2414yes—
1067#95C2414yes—
1068#95C2414yes—
1069#95C2414yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2412yes—
1074#95C2412yes—
1075#95C2412yes—
1076#95C2414yes—
1077#95C2414yes—
1078#95C2414yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2412yes—
1083#95C2412yes—
1084#95C2412yes—
1085#95C2412yes—
1086#95C2412yes—
1087#95C2414yes—
1088#95C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113C24—22no—
1114C24—22no—
1115C24—22no—
1116C24—22no—
1117C24—22no—
1118C24—24no—
1119C24—24no—
1120C24—24no—
1121C24—41no—
1122C24—41no—
1123C24—42no—
1124C24—42no—
1125C24—42no—
1126C24—42no—
1127C24C2514yes—
1128C24C2512yes—
1129C24C2514yes—
1130C24C2511yescharacteristic
1131C24C2511yescharacteristic
1132C24C2511yescharacteristic
1133#41—816no—
1134#41—832no—
1135#41—816no—
1136C2×Q8—24no—
1137C2×Q8—24no—
1138C2×Q8—22no—
1139C2×Q8—24no—
1140C2×Q8—41no—
1141C2×Q8—44no—
1142C2×Q8—44no—
1143C2×Q8—41no—
1144C2×Q8—44no—
1145C2×D4—24no—
1146C2×D4—28no—
1147C2×D4—28no—
1148C2×D4—24no—
1149C2×D4—28no—
1150C2×D4—24no—
1151C2×D4—24no—
1152C2×D4—28no—
1153C2×D4—28no—
1154C2×D4—28no—
1155C2×D4—24no—
1156C2×D4—28no—
1157C2×D4—24no—
1158C2×D4—24no—
1159C2×D4—24no—
1160C2×D4—24no—
1161C2×D4—22no—
1162C2×D4—24no—
1163C2×D4—24no—
1164C2×D4—24no—
1165C2×D4—24no—
1166C2×D4—24no—
1167C2×D4—44no—
1168C2×D4—41no—
1169C2×D4—42no—
1170C2×D4—42no—
1171C2×D4—44no—
1172C2×D4—42no—
1173C2×D4—44no—
1174C2×D4—44no—
1175C2×D4—42no—
1176C2×D4—42no—
1177C2×D4—44no—
1178C2×D4—42no—
1179C2×D4—44no—
1180C2×D4—44no—
1181C2×D4—44no—
1182C2×D4—44no—
1183C2×D4—42no—
1184C2×D4—42no—
1185C2×D4—41no—
1186C2×D4—44no—
1187C2×D4—44no—
1188C2×D4—44no—
1189C2×D4—44no—
1190C2×D4—42no—
1191C2×D4—42no—
1192C2×D4—44no—
1193C2×D4—44no—
1194C2×D4—44no—
1195C2×D4—44no—
1196C2×D4—44no—
1197C2×D4—44no—
1198C2×D4—44no—
1199C2×D4—44no—
1200C2×D4—44no—
1201C2×D4—44no—
1202C2×D4—44no—
1203C2×D4—44no—
1204C2×D4—44no—
1205C2×D4—44no—
1206C2×D4—44no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—88no—
1212C2×D4—816no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—22no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—24no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—28no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—416no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4—44no—
1295C22×C4—416no—
1296C22×C4—416no—
1297C22×C4H(5,𝔽2)14yes—
1298C22×C4H(5,𝔽2)14yes—
1299C22×C4H(5,𝔽2)14yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2514yes—
1309C22×C4C2514yes—
1310C22×C4C2514yes—
1311C22×C4C2512yes—
1312C22×C4C2514yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—41no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—41no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—41no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—41no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C22⋊C4—24no—
1370C22⋊C4—28no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—24no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—42no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—22no—
1437C42—22no—
1438C42—24no—
1439C42—24no—
1440C42—24no—
1441C42—41no—
1442C42—41no—
1443C42—41no—
1444C42—41no—
1445C42—41no—
1446C42—41no—
1447C42—41no—
1448C42—41no—
1449C42—44no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—28no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—24no—
1471C23—22no—
1472C23—24no—
1473C23—22no—
1474C23—24no—
1475C23—24no—
1476C23—22no—
1477C23—24no—
1478C23—24no—
1479C23—22no—
1480C23—24no—
1481C23—24no—
1482C23—22no—
1483C23—24no—
1484C23—24no—
1485C23—24no—
1486C23—24no—
1487C23—22no—
1488C23—22no—
1489C23—24no—
1490C23—24no—
1491C23—44no—
1492C23—44no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—48no—
1498C23—84no—
1499C23—84no—
1500C23—84no—
1501C23—84no—
1502C23—84no—
1503C23—84no—
1504C23C2×H(5,𝔽2)12yes—
1505C23C2×H(5,𝔽2)12yes—
1506C23C2×H(5,𝔽2)12yes—
1507C23#58512yes—
1508C23#58512yes—
1509C23C2611yescharacteristic
1510Q8—48no—
1511Q8—82no—
1512Q8—88no—
1513D4—416no—
1514D4—48no—
1515D4—48no—
1516D4—48no—
1517D4—84no—
1518D4—84no—
1519D4—82no—
1520D4—84no—
1521D4—84no—
1522D4—84no—
1523D4—88no—
1524D4—88no—
1525D4—88no—
1526D4—88no—
1527D4—88no—
1528D4—88no—
1529D4—88no—
1530D4—164no—
1531D4—164no—
1532D4—164no—
1533D4—164no—
1534D4—164no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—28no—
1546C2×C4—28no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—24no—
1562C2×C4—24no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—24no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—44no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—48no—
1620C2×C4—44no—
1621C2×C4—48no—
1622C2×C4—88no—
1623C2×C4—84no—
1624C2×C4—84no—
1625C2×C4—88no—
1626C2×C4—88no—
1627C2×C4—88no—
1628C2×C4—164no—
1629C2×C4—164no—
1630C2×C4C2×H(5,𝔽2)12yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×H(5,𝔽2)12yes—
1633C2×C4C2×H(5,𝔽2)12yes—
1634C2×C4C2×H(5,𝔽2)12yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4#58512yes—
1637C2×C4#58512yes—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—416no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—42no—
1660C22—44no—
1661C22—44no—
1662C22—44no—
1663C22—42no—
1664C22—44no—
1665C22—42no—
1666C22—44no—
1667C22—44no—
1668C22—44no—
1669C22—42no—
1670C22—44no—
1671C22—42no—
1672C22—44no—
1673C22—44no—
1674C22—44no—
1675C22—44no—
1676C22—42no—
1677C22—44no—
1678C22—44no—
1679C22—42no—
1680C22—168no—
1681C22#354614yes—
1682C22C22×H(5,𝔽2)11yescharacteristic
1683C22C22×H(5,𝔽2)11yescharacteristic
1684C22C22×H(5,𝔽2)11yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C22C2×#58511yescharacteristic
1688C22C2×#58511yescharacteristic
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—22no—
1693C4—22no—
1694C4—41no—
1695C4—42no—
1696C4—44no—
1697C4—41no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—44no—
1702C4—42no—
1703C4—44no—
1704C4—41no—
1705C4—41no—
1706C4—44no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—44no—
1711C4—44no—
1712C4—42no—
1713C4#353414yes—
1714C2—24no—
1715C2—42no—
1716C2—42no—
1717C2—82no—
1718C2—84no—
1719C2—84no—
1720C2C2×#353411yescharacteristic
1721C2#6272911yescharacteristic
1722C2C2×#354611yescharacteristic
1723C2#6281811yescharacteristic
1724C2#6282811yescharacteristic
1725C2#6283011yescharacteristic
1726C2#6283611yescharacteristic
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. #59023C2semidirect
2. #59003C2semidirect
3. #53298C2semidirect
4. #53296C2semidirect
5. #53236C2semidirect
6. #45596C2semidirect
7. #45594C2semidirect
8. #45593C2semidirect
9. #45529C2semidirect
10. #39912C2semidirect
11. #39865C2semidirect
12. #39550C2semidirect
13. #39512C2semidirect
14. #39486C2semidirect
15. #39415C2semidirect
16. #39383C2semidirect
17. #39359C2semidirect
18. #38512C2semidirect
19. #38125C2semidirect
20. #38082C2semidirect
21. #38062C2semidirect
22. #38033C2semidirect
23. #37338C2semidirect
24. #37332C2semidirect
25. #37217C2semidirect
26. #37155C2semidirect
27. #36710C2semidirect
28. #36709C2semidirect
29. #36624C2semidirect
30. #36621C2semidirect
31. C2×#2854C2semidirect
37. C2×#532C22semidirect
38. C2×#529C22semidirect
44. #2857C22semidirect
46. #2856C22semidirect
47. #2855C22semidirect
56. #2854C22semidirect
57. #2854C22semidirect
58. #2854C22semidirect
59. #2853C22semidirect
61. #2852C22semidirect
63. #2851C22semidirect
66. #2850C22semidirect
67. #2850C22semidirect
73. #2825C22semidirect
74. #2824C22semidirect
75. #2810C22semidirect
76. #2808C22semidirect
77. #2805C22semidirect
78. #2801C22semidirect
79. #2797C22semidirect
80. #2788C22semidirect
81. #2787C22semidirect
82. #2784C22semidirect
83. #2779C22semidirect
84. #2779C22semidirect
85. #2779C22semidirect
86. #2778C22semidirect
87. #2778C22semidirect
88. #2777C22semidirect
89. #2776C22semidirect
90. #2760C22semidirect
91. #2757C22semidirect
92. #2756C22semidirect
93. #2752C22semidirect
94. #2749C22semidirect
95. #2743C22semidirect
96. #2739C22semidirect
97. #2737C22semidirect
98. #2733C22semidirect
99. #2724C22semidirect
100. #2714C22semidirect
101. #2709C22semidirect
102. #2703C22semidirect
103. #2703C22semidirect
104. #2703C22semidirect
105. #2703C22semidirect
106. #2703C22semidirect
107. #2702C22semidirect
108. #2701C22semidirect
109. #2700C22semidirect
110. #2699C22semidirect
111. #2696C22semidirect
112. #2696C22semidirect
113. #2696C22semidirect
114. #2696C22semidirect
115. #2696C22semidirect
116. #2696C22semidirect
117. #2695C22semidirect
118. #2695C22semidirect
119. #2693C22semidirect
120. #2693C22semidirect
121. #2693C22semidirect
122. #2693C22semidirect
123. #2688C22semidirect
124. #2688C22semidirect
125. #2687C22semidirect
126. #2683C22semidirect
128. #2682C22semidirect
129. #2682C22semidirect
130. #2682C22semidirect
131. #2681C22semidirect
133. #2673C22semidirect
134. #2673C22semidirect
135. #2673C22semidirect
136. #2673C22semidirect
137. #2673C22semidirect
138. #2673C22semidirect
139. #2672C22semidirect
140. #2672C22semidirect
141. #2671C22semidirect
142. #2671C22semidirect
143. #2650C22semidirect
144. #2645C22semidirect
145. #2640C22semidirect
146. #2635C22semidirect
148. #2624C22semidirect
149. #2619C22semidirect
153. #2600C22semidirect
155. #2581C22semidirect
156. #2577C22semidirect
157. #2576C22semidirect
158. #2572C22semidirect
159. #2570C22semidirect
160. #2563C22semidirect
161. #2560C22semidirect
162. #2559C22semidirect
163. #2555C22semidirect
164. #2548C22semidirect
165. #2544C22semidirect
166. #2543C22semidirect
168. #2541C22semidirect
169. #2535C22semidirect
171. #2514C22semidirect
172. #2512C22semidirect
174. #2510C22semidirect
175. #2509C22semidirect
176. #2504C22semidirect
178. #2495C22semidirect
180. #2492C22semidirect
181. #2488C22semidirect
183. #2467C22semidirect
184. #2460C22semidirect
185. #2457C22semidirect
187. #2452C22semidirect
188. #2450C22semidirect
189. #2448C22semidirect
190. #2447C22semidirect
191. #2446C22semidirect
192. #2445C22semidirect
194. #2440C22semidirect
195. #2439C22semidirect
198. #2432C22semidirect
200. #2431C22semidirect
204. #2428C22semidirect
205. #2427C22semidirect
209. #2422C22semidirect
210. #2420C22semidirect
213. #2417C22semidirect
215. #2416C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
227. #2380C22semidirect
228. #2377C22semidirect
233. #2352C22semidirect
235. #2339C22semidirect
236. #2335C22semidirect
237. #2328C22semidirect
238. #2325C22semidirect
239. #2323C22semidirect
240. #2319C22semidirect
243. #2311C22semidirect
245. C4×C22⋊Q8C22semidirect
246. C4×#123C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
254. #2297C22semidirect
260. #2290C22semidirect
264. #2285C22semidirect
265. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#590232
#590032
#532982
#532962
#532362
#455962
#455942
#455932
#455292
#399122
#398652
#395502
#395122
#394862
#394152
#393832
#393592
#385122
#381252
#380822
#380622
#380332
#373382
#373322
#372172
#371552
#367102
#367092
#366242
#366212
C2×#28542