Finite Group Databasebeta

← #7649367

Subgroups — #7649367

Order 512.

4796 conjugacy classes of subgroups.

The subgroup lattice has 2147 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42287C212yesmaximal, complemented
2#42245C212yesmaximal, complemented
3#42159C212yesmaximal, complemented
4#42149C212yesmaximal, complemented
5#42134C212yesmaximal, complemented
6#42045C212yesmaximal, complemented
7#41790C212yesmaximal, complemented
8#41670C212yesmaximal, complemented
9#41177C212yesmaximal, complemented
10#41103C212yesmaximal, complemented
11#40890C212yesmaximal, complemented
12#40840C212yesmaximal, complemented
13#40417C212yesmaximal, complemented
14#40353C212yesmaximal, complemented
15#39707C212yesmaximal, complemented
16#39687C212yesmaximal, complemented
17#38880C212yesmaximal, complemented
18#38673C212yesmaximal, complemented
19#38565C212yesmaximal, complemented
20#38487C211yesmaximal, characteristic, complemented
21#38467C211yesmaximal, characteristic, complemented
22#38445C211yesmaximal, characteristic, complemented
23#38425C211yesmaximal, characteristic, complemented
24#38316C212yesmaximal, complemented
25#38232C212yesmaximal, complemented
26#37905C212yesmaximal, complemented
27#35366C212yesmaximal, complemented
28#35363C212yesmaximal, complemented
29#35363C212yesmaximal, complemented
30#35069C212yesmaximal, complemented
31#35042C211yesmaximal, characteristic, complemented
32#34856C212yesmaximal, complemented
33C2×#2509C211yesmaximal, characteristic, complemented
34#34308C212yesmaximal, complemented
35#34274C211yesmaximal, characteristic, complemented
36C2×#547C2212yes—
37C2×#539C2212yes—
38C2×#537C2211yescharacteristic
39C2×#520C2211yescharacteristic
40C2×#520C2212yes—
41C2×#520C2211yescharacteristic
42#2865C2212yes—
43#2864C2212yes—
44#2855C2212yes—
45#2855C2211yescharacteristic
46#2854C2211yescharacteristic
47#2852C2212yes—
48#2852C2212yes—
49#2839C2212yes—
50#2839C2212yes—
51#2838C2212yes—
52#2832C2212yes—
53#2827C2212yes—
54#2827C2212yes—
55#2817C2212yes—
56#2813C2212yes—
57#2810C2212yes—
58#2810C2212yes—
59#2809C2211yescharacteristic
60#2808C2211yescharacteristic
61#2808C2211yescharacteristic
62#2807C2212yes—
63#2807C2212yes—
64#2806C2211yescharacteristic
65#2806C2212yes—
66#2806C2211yescharacteristic
67#2805C2211yescharacteristic
68#2805C2212yes—
69#2805C2211yescharacteristic
70#2803C2212yes—
71#2800C2212yes—
72#2798C2212yes—
73#2796C2212yes—
74#2792C2212yes—
75#2791C2212yes—
76#2790C2212yes—
77#2788C2212yes—
78#2788C2212yes—
79#2788C2212yes—
80#2781C2212yes—
81#2781C2212yes—
82#2780C2212yes—
83#2777C2212yes—
84#2776C2212yes—
85#2776C2212yes—
86#2775C2212yes—
87#2774C2212yes—
88#2774C2212yes—
89#2773C2212yes—
90#2771C2212yes—
91#2771C2212yes—
92#2768C2212yes—
93#2765C2212yes—
94#2761C2212yes—
95#2753C2212yes—
96#2753C2212yes—
97#2749C2212yes—
98#2747C2212yes—
99#2745C2212yes—
100#2743C2212yes—
101#2739C2212yes—
102#2738C2212yes—
103#2734C2211yescharacteristic
104#2732C2211yescharacteristic
105#2732C2211yescharacteristic
106#2729C2212yes—
107#2729C2212yes—
108#2729C2212yes—
109#2728C2212yes—
110#2728C2212yes—
111#2728C2212yes—
112#2727C2211yescharacteristic
113#2727C2211yescharacteristic
114#2724C2211yescharacteristic
115#2723C2212yes—
116#2718C2212yes—
117#2708C2212yes—
118#2708C2212yes—
119#2708C2212yes—
120#2705C2212yes—
121#2701C2212yes—
122#2696C2212yes—
123#2689C2212yes—
124#2688C2212yes—
125#2688C2212yes—
126#2683C2211yescharacteristic
127#2682C2211yescharacteristic
128#2682C2211yescharacteristic
129#2667C2212yes—
130#2666C2212yes—
131#2666C2212yes—
132#2666C2212yes—
133#2663C2212yes—
134#2663C2212yes—
135#2663C2212yes—
136#2655C2212yes—
137#2655C2212yes—
138#2654C2212yes—
139#2654C2212yes—
140#2654C2212yes—
141#2652C2212yes—
142#2652C2212yes—
143#2652C2212yes—
144#2652C2212yes—
145#2652C2212yes—
146#2650C2212yes—
147#2649C2212yes—
148#2649C2212yes—
149#2649C2212yes—
150#2646C2211yescharacteristic
151#2643C2212yes—
152#2639C2212yes—
153#2639C2211yescharacteristic
154#2636C2212yes—
155#2635C2212yes—
156#2635C2212yes—
157#2627C2212yes—
158#2627C2212yes—
159#2623C2212yes—
160#2611C2212yes—
161#2611C2212yes—
162#2608C2212yes—
163#2604C2212yes—
164#2604C2212yes—
165#2602C2212yes—
166#2602C2212yes—
167#2602C2212yes—
168#2601C2212yes—
169#2601C2212yes—
170#2597C2212yes—
171#2597C2212yes—
172#2596C2212yes—
173#2596C2212yes—
174#2596C2212yes—
175#2595C2212yes—
176#2595C2212yes—
177#2594C2212yes—
178#2593C2212yes—
179#2591C2212yes—
180#2591C2212yes—
181#2590C2212yes—
182#2589C2212yes—
183#2589C2212yes—
184#2588C2212yes—
185#2588C2212yes—
186#2587C2212yes—
187#2587C2212yes—
188#2587C2212yes—
189#2585C2212yes—
190#2585C2212yes—
191#2585C2212yes—
192#2584C2212yes—
193#2584C2212yes—
194#2583C2212yes—
195#2583C2212yes—
196#2583C2212yes—
197#2579C2212yes—
198#2576C2212yes—
199#2576C2212yes—
200#2575C2212yes—
201#2574C2212yes—
202#2573C2212yes—
203#2573C2212yes—
204#2569C2212yes—
205#2564C2212yes—
206#2564C2212yes—
207#2559C2212yes—
208#2554C2212yes—
209#2549C2212yes—
210#2543C2212yes—
211#2543C2212yes—
212#2533C2212yes—
213#2533C2212yes—
214#2532C2212yes—
215#2530C2212yes—
216#2518C2212yes—
217#2510C2212yes—
218#2509C2212yes—
219#2509C2212yes—
220#2509C2212yes—
221#2509C2212yes—
222#2509C2212yes—
223#2509C2212yes—
224#2509C2212yes—
225#2509C2212yes—
226#2505C2212yes—
227#2505C2212yes—
228#2498C2212yes—
229#2498C2212yes—
230#2493C2212yes—
231#2488C2212yes—
232#2481C2212yes—
233#2481C2212yes—
234#2481C2212yes—
235#2481C2212yes—
236#2479C2212yes—
237#2479C2212yes—
238#2478C2212yes—
239#2478C2212yes—
240#2478C2212yes—
241#2478C2212yes—
242#2477C2212yes—
243#2477C2212yes—
244#2475C2212yes—
245#2473C2212yes—
246#2473C2212yes—
247#2473C2212yes—
248#2471C2212yes—
249#2470C2212yes—
250#2470C2212yes—
251#2469C2212yes—
252#2467C2212yes—
253#2466C2212yes—
254#2466C2212yes—
255#2465C2212yes—
256#2465C2212yes—
257#2465C2212yes—
258#2463C2212yes—
259#2462C2212yes—
260#2462C2212yes—
261#2462C2212yes—
262#2460C2212yes—
263#2458C2212yes—
264#2456C2212yes—
265#2455C2212yes—
266#2455C2212yes—
267#2455C2212yes—
268#2450C2212yes—
269#2449C2212yes—
270#2449C2212yes—
271#2449C2212yes—
272#2449C2212yes—
273#2449C2212yes—
274#2449C2212yes—
275#2449C2212yes—
276#2444C2212yes—
277#2444C2212yes—
278#2443C2212yes—
279#2443C2212yes—
280#2443C2212yes—
281#2443C2212yes—
282#2438C2212yes—
283#2438C2212yes—
284#2430C2212yes—
285#2430C2212yes—
286#2430C2212yes—
287#2430C2212yes—
288#2425C2212yes—
289#2425C2212yes—
290#2425C2212yes—
291#2419C2212yes—
292#2419C2212yes—
293#2419C2212yes—
294#2417C2212yes—
295#2416C2212yes—
296#2415C2212yes—
297#2415C2212yes—
298#2413C2212yes—
299#2413C2212yes—
300#2413C2212yes—
301#2413C2212yes—
302#2406C2212yes—
303#2406C2212yes—
304#2402C2212yes—
305#2401C2212yes—
306#2395C2212yes—
307C2×#400C2212yes—
308C2×#400C2212yes—
309#2392C2212yes—
310#2365C2212yes—
311#2363C2212yes—
312#2363C2212yes—
313#2362C2212yes—
314#2362C2212yes—
315#2361C2212yes—
316#2361C2212yes—
317#2361C2212yes—
318#2361C2212yes—
319#2360C2212yes—
320#2360C2212yes—
321#2360C2212yes—
322#2360C2212yes—
323#2359C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2359C2212yes—
327D4×C4⋊C4C2212yes—
328D4×C4⋊C4C2212yes—
329#2344C2212yes—
330#2344C2212yes—
331#2339C2212yes—
332#2339C2212yes—
333#2335C2212yes—
334#2334C2212yes—
335#2334C2212yes—
336#2334C2212yes—
337#2329C2212yes—
338#2329C2211yescharacteristic
339#2325C2211yescharacteristic
340#2325C2212yes—
341#2325C2212yes—
342#2323C2212yes—
343#2323C2212yes—
344#2322C2212yes—
345#2322C2212yes—
346#2322C2212yes—
347#2322C2212yes—
348#2322C2212yes—
349#2322C2212yes—
350#2322C2212yes—
351#2318C2212yes—
352#2316C2211yescharacteristic
353C4×C4⋊Q8C2212yes—
354C4×#126C2212yes—
355C4×#123C2212yes—
356C4×#121C2212yes—
357C4×#121C2212yes—
358C4×#121C2212yes—
359C4×#121C2212yes—
360C4×#121C2212yes—
361#2298C2212yes—
362#2297C2211yescharacteristic
363#2297C2211yescharacteristic
364#2293C2212yes—
365C2×#389C2212yes—
366C2×#389C2212yes—
367C2×#389C2211yescharacteristic
368C2×#389C2211yescharacteristic
369C2×#389C2211yescharacteristic
370C2×#389C2211yescharacteristic
371#2290C2212yes—
372#2290C2212yes—
373#2290C2212yes—
374C2×#387C2212yes—
375C2×#382C2211yescharacteristic
376C42×D4C2212yes—
377C2×C4×C4⋊C4C2211yescharacteristic
378C2×C4×C4⋊C4C2211yescharacteristic
379C22×#41C2312yes—
380C22×#41C2311yescharacteristic
381C22×#41C2311yescharacteristic
382#547—216no—
383#539—48no—
384#537—28no—
385C2×C4⋊Q8C2312yes—
386C2×#126C2312yes—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#125C2312yes—
392C2×#125C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427#520—44no—
428#520—44no—
429#520—48no—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×#117C2311yescharacteristic
454C2×#117C2311yescharacteristic
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2312yes—
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C4⋊C4C2311yescharacteristic
468C22×C4⋊C4C2312yes—
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2311yescharacteristic
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C42C2311yescharacteristic
479C22×C42C2311yescharacteristic
480C22×C42C2311yescharacteristic
481C22×C42C2312yes—
482C22×C42C2312yes—
483#401C2312yes—
484#401C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#392C2312yes—
670#392C2312yes—
671#392C2312yes—
672#392C2312yes—
673#392C2312yes—
674#392C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2311yescharacteristic
685#391C2311yescharacteristic
686#391C2311yescharacteristic
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#390C2312yes—
691#390C2312yes—
692#390C2312yes—
693#390C2311yescharacteristic
694#390C2312yes—
695#390C2311yescharacteristic
696#390C2311yescharacteristic
697#390C2311yescharacteristic
698#390C2312yes—
699#390C2311yescharacteristic
700#390C2312yes—
701#390C2311yescharacteristic
702#389C2312yes—
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2311yescharacteristic
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2311yescharacteristic
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2311yescharacteristic
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2311yescharacteristic
743#389C2311yescharacteristic
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2311yescharacteristic
749#389C2312yes—
750#389C2311yescharacteristic
751#389C2311yescharacteristic
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2311yescharacteristic
766#389C2311yescharacteristic
767#389C2312yes—
768#389C2311yescharacteristic
769#389C2311yescharacteristic
770#389C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#384C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2311yescharacteristic
1039#380C2311yescharacteristic
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090#376C2312yes—
1091#376C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2311yescharacteristic
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C43C2312yes—
1104C2×#41—28no—
1105C2×#41—24no—
1106C2×#41—42no—
1107C2×#41—42no—
1108C2×#41—44no—
1109C2×#41—42no—
1110C2×#41—42no—
1111C2×#41—44no—
1112C2×#41#4118yes—
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C22×D4C2412yes—
1129C22×D4C2411yescharacteristic
1130C23×C4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2412yes—
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2411yescharacteristic
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C23×C4C2411yescharacteristic
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2411yescharacteristic
1154C4⋊Q8—28no—
1155#126—28no—
1156#126—44no—
1157#126—44no—
1158#126—44no—
1159#126—82no—
1160#125—44no—
1161#125—44no—
1162#123—28no—
1163#123—28no—
1164#123—28no—
1165#123—28no—
1166#123—28no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—44no—
1171#123—44no—
1172#123—44no—
1173#123—82no—
1174C22⋊Q8—28no—
1175C22⋊Q8—28no—
1176C22⋊Q8—28no—
1177C22⋊Q8—28no—
1178C22⋊Q8—42no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—82no—
1184C22⋊Q8—82no—
1185C22⋊Q8—82no—
1186#121—28no—
1187#121—28no—
1188#121—28no—
1189#121—28no—
1190#121—28no—
1191#121—28no—
1192#121—42no—
1193#121—44no—
1194#121—44no—
1195#121—82no—
1196C4×Q8—44no—
1197C4×Q8—44no—
1198C4×Q8—44no—
1199C4×Q8—44no—
1200C4×D4—28no—
1201C4×D4—28no—
1202C4×D4—28no—
1203C4×D4—28no—
1204C4×D4—28no—
1205C4×D4—44no—
1206C4×D4—44no—
1207C4×D4—44no—
1208C4×D4—44no—
1209C4×D4—44no—
1210C4×D4—44no—
1211C4×D4—44no—
1212C4×D4—44no—
1213C4×D4—44no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—82no—
1217C4×D4—82no—
1218C4×D4—82no—
1219#117—44no—
1220#117—44no—
1221#117—44no—
1222#117—44no—
1223#117—44no—
1224#117—42no—
1225#117—44no—
1226#117—42no—
1227#117—82no—
1228C2×C4⋊C4—24no—
1229C2×C4⋊C4—28no—
1230C2×C4⋊C4—28no—
1231C2×C4⋊C4—24no—
1232C2×C4⋊C4—28no—
1233C2×C4⋊C4—24no—
1234C2×C4⋊C4—42no—
1235C2×C4⋊C4—44no—
1236C2×C4⋊C4—44no—
1237C2×C4⋊C4—44no—
1238C2×C4⋊C4—44no—
1239C2×C4⋊C4—42no—
1240C2×C4⋊C4—42no—
1241C2×C4⋊C4—82no—
1242C2×C4⋊C4—82no—
1243C2×C4⋊C4—82no—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2411yescharacteristic
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C42—42no—
1408C2×C42—42no—
1409C2×C42—42no—
1410C2×C42—82no—
1411C2×C42—82no—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2411yescharacteristic
1440C2×C42C2411yescharacteristic
1441C2×C42C2411yescharacteristic
1442C2×C42C2411yescharacteristic
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551C24C2512yes—
1552C24C2512yes—
1553C24C2512yes—
1554C24C2511yescharacteristic
1555#41—416no—
1556#41—416no—
1557#41—432no—
1558C2×Q8—22no—
1559C2×Q8—24no—
1560C2×Q8—41no—
1561C2×Q8—42no—
1562C2×Q8—41no—
1563C2×Q8—41no—
1564C2×Q8—41no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—41no—
1568C2×Q8—42no—
1569C2×Q8—41no—
1570C2×Q8—42no—
1571C2×Q8—41no—
1572C2×Q8C2×#4114yes—
1573C2×D4—24no—
1574C2×D4—24no—
1575C2×D4—24no—
1576C2×D4—24no—
1577C2×D4—24no—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—24no—
1584C2×D4—24no—
1585C2×D4—22no—
1586C2×D4—24no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—41no—
1592C2×D4—41no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—41no—
1603C2×D4—41no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—41no—
1607C2×D4C2×#4118yes—
1608C2×D4C2×#4114yes—
1609C22×C4—22no—
1610C22×C4—22no—
1611C22×C4—22no—
1612C22×C4—22no—
1613C22×C4—22no—
1614C22×C4—24no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—22no—
1621C22×C4—22no—
1622C22×C4—22no—
1623C22×C4—24no—
1624C22×C4—22no—
1625C22×C4—24no—
1626C22×C4—24no—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—24no—
1630C22×C4—24no—
1631C22×C4—24no—
1632C22×C4—24no—
1633C22×C4—41no—
1634C22×C4—41no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—41no—
1646C22×C4—41no—
1647C22×C4—41no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—41no—
1653C22×C4—41no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—41no—
1664C22×C4—41no—
1665C22×C4—41no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4C2×#4114yes—
1679C22×C4C2×#4118yes—
1680C22×C4H(5,𝔽2)14yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2511yescharacteristic
1688C22×C4C2512yes—
1689C22×C4C2511yescharacteristic
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2511yescharacteristic
1707C22×C4C2511yescharacteristic
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2511yescharacteristic
1711C22×C4C2511yescharacteristic
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—22no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—22no—
1741C4⋊C4—22no—
1742C4⋊C4—24no—
1743C4⋊C4—41no—
1744C4⋊C4—41no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—41no—
1748C4⋊C4—42no—
1749C4⋊C4—41no—
1750C4⋊C4—41no—
1751C4⋊C4—42no—
1752C4⋊C4—41no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—41no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—41no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—41no—
1778C4⋊C4—41no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—41no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—41no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—41no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—41no—
1807C4⋊C42−1+414yes—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—24no—
1823C22⋊C4—24no—
1824C22⋊C4—24no—
1825C22⋊C4—24no—
1826C22⋊C4—24no—
1827C22⋊C4—24no—
1828C22⋊C4—24no—
1829C22⋊C4—24no—
1830C22⋊C4—24no—
1831C22⋊C4—24no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C42—24no—
1876C42—24no—
1877C42—24no—
1878C42—24no—
1879C42—24no—
1880C42—24no—
1881C42—24no—
1882C42—42no—
1883C42—42no—
1884C42—41no—
1885C42—41no—
1886C42—41no—
1887C42—41no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42—42no—
1899C42—42no—
1900C42—42no—
1901C42—42no—
1902C42—42no—
1903C42—42no—
1904C42—42no—
1905C42—42no—
1906C23—21no—
1907C23—21no—
1908C23—21no—
1909C23—21no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23C22×#4114yes—
1931C23C22×#4112yes—
1932C23C2×H(5,𝔽2)12yes—
1933C23#58512yes—
1934C23C2611yescharacteristic
1935Q8—44no—
1936Q8—44no—
1937Q8—48no—
1938Q8—161no—
1939Q8—162no—
1940D4—216no—
1941D4—44no—
1942D4—48no—
1943D4—44no—
1944D4—48no—
1945D4—48no—
1946D4—48no—
1947D4—84no—
1948D4—84no—
1949D4—84no—
1950D4—161no—
1951D4—162no—
1952C2×C4—28no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—22no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—28no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—21no—
2000C2×C4—21no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—21no—
2023C2×C4—21no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—21no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—48no—
2041C2×C4—44no—
2042C2×C4—48no—
2043C2×C4—48no—
2044C2×C4—48no—
2045C2×C4—48no—
2046C2×C4—48no—
2047C2×C4—48no—
2048C2×C4—84no—
2049C2×C4—84no—
2050C2×C4—84no—
2051C2×C4—82no—
2052C2×C4—82no—
2053C2×C4—84no—
2054C2×C4—82no—
2055C2×C4—82no—
2056C2×C4—84no—
2057C2×C4—84no—
2058C2×C4—162no—
2059C2×C4—162no—
2060C2×C4—162no—
2061C2×C4—162no—
2062C2×C4C22×#4114yes—
2063C2×C4C22×#4112yes—
2064C2×C4C22×#4112yes—
2065C2×C4C2×H(5,𝔽2)14yes—
2066C2×C4C2×2−1+414yes—
2067C2×C4C2×2−1+412yes—
2068C2×C4#58512yes—
2069C22—22no—
2070C22—22no—
2071C22—22no—
2072C22—22no—
2073C22—22no—
2074C22—22no—
2075C22—24no—
2076C22—24no—
2077C22—24no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22#345914yes—
2097C22C23×#4111yescharacteristic
2098C22C22×H(5,𝔽2)11yescharacteristic
2099C22C22×2−1+411yescharacteristic
2100C22C2×#58511yescharacteristic
2101C22C2×#58511yescharacteristic
2102C22H(7,𝔽2)11yescharacteristic
2103C222−1+611yescharacteristic
2104C4—24no—
2105C4—22no—
2106C4—22no—
2107C4—24no—
2108C4—22no—
2109C4—22no—
2110C4—24no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—41no—
2120C4—41no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C2—24no—
2136C2—44no—
2137C2—82no—
2138C2—82no—
2139C2C2×#345911yescharacteristic
2140C2#6282511yescharacteristic
2141C2#6286911yescharacteristic
2142C2#6290511yescharacteristic
2143C2#6294611yescharacteristic
2144C2#6299511yescharacteristic
2145C2#6300011yescharacteristic
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. #42287C2semidirect
2. #42245C2semidirect
3. #42159C2semidirect
4. #42149C2semidirect
5. #42134C2semidirect
6. #42045C2semidirect
7. #41790C2semidirect
8. #41670C2semidirect
9. #41177C2semidirect
10. #41103C2semidirect
11. #40890C2semidirect
12. #40840C2semidirect
13. #40417C2semidirect
14. #40353C2semidirect
15. #39707C2semidirect
16. #39687C2semidirect
17. #38880C2semidirect
18. #38673C2semidirect
19. #38565C2semidirect
20. #38487C2semidirect
21. #38467C2semidirect
22. #38445C2semidirect
23. #38425C2semidirect
24. #38316C2semidirect
25. #38232C2semidirect
26. #37905C2semidirect
27. #35366C2semidirect
28. #35363C2semidirect
29. #35363C2semidirect
30. #35069C2semidirect
31. #35042C2semidirect
32. #34856C2semidirect
33. C2×#2509C2semidirect
34. #34308C2semidirect
35. #34274C2semidirect

Maximal subgroups

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

subgroupindex
#422872
#422452
#421592
#421492
#421342
#420452
#417902
#416702
#411772
#411032
#408902
#408402
#404172
#403532
#397072
#396872
#388802
#386732
#385652
#384872
#384672
#384452
#384252
#383162
#382322
#379052
#353662
#353632
#350692
#350422
#348562
C2×#25092
#343082
#342742