Finite Group Databasebeta

← #7649331

Subgroups — #7649331

Order 512.

4750 conjugacy classes of subgroups.

The subgroup lattice has 2136 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42382C212yesmaximal, complemented
2#42379C212yesmaximal, complemented
3#42353C212yesmaximal, complemented
4#42338C212yesmaximal, complemented
5#42159C212yesmaximal, complemented
6#42149C212yesmaximal, complemented
7#41858C212yesmaximal, complemented
8#41669C212yesmaximal, complemented
9#41515C212yesmaximal, complemented
10#41474C212yesmaximal, complemented
11#41173C212yesmaximal, complemented
12#41116C212yesmaximal, complemented
13#40456C212yesmaximal, complemented
14#40336C212yesmaximal, complemented
15#39318C212yesmaximal, complemented
16#39291C212yesmaximal, complemented
17#38877C212yesmaximal, complemented
18#38669C212yesmaximal, complemented
19#38596C212yesmaximal, complemented
20#38486C211yesmaximal, characteristic, complemented
21#38467C211yesmaximal, characteristic, complemented
22#38444C211yesmaximal, characteristic, complemented
23#38425C211yesmaximal, characteristic, complemented
24#38320C212yesmaximal, complemented
25#38234C212yesmaximal, complemented
26#37904C212yesmaximal, complemented
27#35460C212yesmaximal, complemented
28#35450C212yesmaximal, complemented
29#35387C212yesmaximal, complemented
30#35144C212yesmaximal, complemented
31#35042C211yesmaximal, characteristic, complemented
32C2×#2514C211yesmaximal, characteristic, complemented
33#34735C212yesmaximal, complemented
34#34289C212yesmaximal, complemented
35#34274C211yesmaximal, characteristic, complemented
36C2×#547C2212yes—
37C2×#537C2211yescharacteristic
38C2×#529C2212yes—
39C2×#520C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×C4×#41C2212yes—
42#2855C2211yescharacteristic
43#2854C2211yescharacteristic
44#2852C2212yes—
45#2852C2212yes—
46#2852C2212yes—
47#2852C2212yes—
48#2852C2212yes—
49#2839C2212yes—
50#2838C2212yes—
51#2838C2212yes—
52#2834C2212yes—
53#2833C2212yes—
54#2825C2212yes—
55#2817C2212yes—
56#2813C2212yes—
57#2811C2211yescharacteristic
58#2810C2212yes—
59#2808C2211yescharacteristic
60#2808C2211yescharacteristic
61#2807C2212yes—
62#2806C2211yescharacteristic
63#2806C2211yescharacteristic
64#2806C2211yescharacteristic
65#2806C2212yes—
66#2805C2211yescharacteristic
67#2805C2212yes—
68#2804C2211yescharacteristic
69#2804C2211yescharacteristic
70#2800C2212yes—
71#2799C2212yes—
72#2798C2212yes—
73#2789C2212yes—
74#2788C2212yes—
75#2787C2212yes—
76#2787C2212yes—
77#2787C2212yes—
78#2785C2212yes—
79#2783C2212yes—
80#2782C2212yes—
81#2778C2212yes—
82#2778C2212yes—
83#2778C2212yes—
84#2776C2212yes—
85#2776C2212yes—
86#2776C2212yes—
87#2774C2212yes—
88#2773C2212yes—
89#2773C2212yes—
90#2771C2212yes—
91#2767C2212yes—
92#2765C2212yes—
93#2765C2212yes—
94#2764C2212yes—
95#2760C2212yes—
96#2759C2212yes—
97#2759C2212yes—
98#2759C2212yes—
99#2751C2212yes—
100#2746C2212yes—
101#2746C2212yes—
102#2745C2212yes—
103#2745C2212yes—
104#2744C2212yes—
105#2734C2211yescharacteristic
106#2733C2211yescharacteristic
107#2732C2211yescharacteristic
108#2732C2211yescharacteristic
109#2730C2212yes—
110#2729C2212yes—
111#2729C2212yes—
112#2729C2212yes—
113#2728C2212yes—
114#2728C2212yes—
115#2727C2211yescharacteristic
116#2724C2211yescharacteristic
117#2723C2212yes—
118#2715C2212yes—
119#2710C2212yes—
120#2708C2212yes—
121#2708C2212yes—
122#2706C2212yes—
123#2702C2212yes—
124#2701C2212yes—
125#2692C2212yes—
126#2688C2212yes—
127#2688C2212yes—
128#2682C2211yescharacteristic
129#2666C2212yes—
130#2666C2212yes—
131#2665C2212yes—
132#2665C2212yes—
133#2663C2212yes—
134#2663C2212yes—
135#2655C2212yes—
136#2655C2212yes—
137#2655C2212yes—
138#2654C2212yes—
139#2653C2212yes—
140#2653C2212yes—
141#2653C2212yes—
142#2653C2212yes—
143#2653C2212yes—
144#2653C2212yes—
145#2652C2212yes—
146#2652C2212yes—
147#2646C2211yescharacteristic
148#2643C2212yes—
149#2643C2212yes—
150#2639C2211yescharacteristic
151#2639C2212yes—
152#2636C2212yes—
153#2635C2212yes—
154#2634C2212yes—
155#2633C2212yes—
156#2632C2212yes—
157#2631C2212yes—
158#2627C2212yes—
159#2623C2212yes—
160#2609C2212yes—
161#2607C2212yes—
162#2602C2212yes—
163#2600C2212yes—
164#2599C2212yes—
165#2599C2212yes—
166#2599C2212yes—
167#2599C2212yes—
168#2599C2212yes—
169#2599C2212yes—
170#2598C2212yes—
171#2598C2212yes—
172#2598C2212yes—
173#2598C2212yes—
174#2597C2212yes—
175#2596C2212yes—
176#2594C2212yes—
177#2591C2212yes—
178#2590C2212yes—
179#2589C2212yes—
180#2589C2212yes—
181#2589C2212yes—
182#2589C2212yes—
183#2589C2212yes—
184#2588C2212yes—
185#2587C2212yes—
186#2586C2212yes—
187#2585C2212yes—
188#2583C2212yes—
189#2581C2212yes—
190#2579C2212yes—
191#2578C2212yes—
192#2577C2212yes—
193#2576C2212yes—
194#2575C2212yes—
195#2573C2212yes—
196#2573C2212yes—
197#2572C2212yes—
198#2569C2212yes—
199#2564C2212yes—
200#2564C2212yes—
201#2564C2212yes—
202#2560C2212yes—
203#2557C2212yes—
204#2557C2212yes—
205#2553C2212yes—
206#2549C2212yes—
207#2543C2212yes—
208#2543C2212yes—
209#2543C2212yes—
210#2533C2212yes—
211#2533C2212yes—
212#2532C2212yes—
213#2532C2212yes—
214#2532C2212yes—
215#2532C2212yes—
216#2527C2212yes—
217#2527C2212yes—
218#2525C2212yes—
219#2524C2212yes—
220#2524C2212yes—
221#2523C2212yes—
222#2523C2212yes—
223#2521C2212yes—
224#2520C2212yes—
225#2518C2212yes—
226#2517C2212yes—
227#2515C2212yes—
228#2514C2212yes—
229#2514C2212yes—
230#2514C2212yes—
231#2514C2212yes—
232#2514C2212yes—
233#2514C2212yes—
234#2514C2212yes—
235#2514C2212yes—
236#2514C2212yes—
237#2510C2212yes—
238#2510C2212yes—
239#2510C2212yes—
240#2510C2212yes—
241#2505C2212yes—
242#2498C2212yes—
243#2498C2212yes—
244#2495C2212yes—
245#2493C2212yes—
246#2493C2212yes—
247#2493C2212yes—
248#2488C2212yes—
249#2488C2212yes—
250#2488C2212yes—
251#2485C2212yes—
252#2484C2212yes—
253#2481C2212yes—
254#2481C2212yes—
255#2479C2212yes—
256#2479C2212yes—
257#2478C2212yes—
258#2478C2212yes—
259#2478C2212yes—
260#2477C2212yes—
261#2475C2212yes—
262#2474C2212yes—
263#2474C2212yes—
264#2474C2212yes—
265#2473C2212yes—
266#2469C2212yes—
267#2469C2212yes—
268#2468C2212yes—
269#2466C2212yes—
270#2462C2212yes—
271#2462C2212yes—
272#2461C2212yes—
273#2459C2212yes—
274#2459C2212yes—
275#2459C2212yes—
276#2450C2212yes—
277#2450C2212yes—
278#2450C2212yes—
279#2450C2212yes—
280#2449C2212yes—
281#2444C2212yes—
282#2444C2212yes—
283#2444C2212yes—
284#2443C2212yes—
285#2443C2212yes—
286#2438C2212yes—
287#2438C2212yes—
288#2436C2212yes—
289#2430C2212yes—
290#2430C2212yes—
291#2430C2212yes—
292#2430C2212yes—
293#2425C2212yes—
294#2425C2212yes—
295#2425C2212yes—
296#2419C2212yes—
297#2419C2212yes—
298#2419C2212yes—
299#2413C2212yes—
300#2413C2212yes—
301#2409C2212yes—
302#2406C2212yes—
303#2406C2212yes—
304C2×#401C2212yes—
305#2399C2212yes—
306#2396C2212yes—
307#2395C2212yes—
308C2×#400C2212yes—
309#2392C2212yes—
310#2365C2212yes—
311#2364C2212yes—
312#2364C2212yes—
313#2363C2212yes—
314#2363C2212yes—
315#2362C2212yes—
316#2362C2212yes—
317#2362C2212yes—
318#2361C2212yes—
319#2361C2212yes—
320#2360C2212yes—
321#2360C2212yes—
322#2360C2212yes—
323#2359C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2359C2212yes—
327#2352C2212yes—
328#2349C2212yes—
329#2344C2212yes—
330#2344C2212yes—
331#2339C2212yes—
332#2339C2212yes—
333#2337C2212yes—
334#2337C2212yes—
335#2334C2212yes—
336#2334C2212yes—
337#2329C2212yes—
338#2329C2212yes—
339#2329C2211yescharacteristic
340#2327C2212yes—
341#2325C2212yes—
342#2325C2212yes—
343#2325C2212yes—
344#2325C2211yescharacteristic
345#2325C2212yes—
346#2325C2212yes—
347#2323C2212yes—
348#2322C2212yes—
349#2322C2212yes—
350#2322C2212yes—
351#2318C2212yes—
352#2318C2212yes—
353#2316C2211yescharacteristic
354C4×C22⋊Q8C2212yes—
355C4×C22⋊Q8C2212yes—
356C4×#123C2212yes—
357C4×#123C2212yes—
358C4×#123C2212yes—
359C4×#123C2212yes—
360C4×#121C2212yes—
361C4×#121C2212yes—
362#2297C2211yescharacteristic
363#2297C2211yescharacteristic
364#2296C2212yes—
365C2×#391C2211yescharacteristic
366C2×#391C2211yescharacteristic
367C2×#391C2211yescharacteristic
368C2×#389C2211yescharacteristic
369#2290C2212yes—
370#2290C2212yes—
371#2290C2212yes—
372C2×#387C2212yes—
373C2×#387C2212yes—
374C2×#383C2212yes—
375C2×#382C2211yescharacteristic
376#2275C2212yes—
377C2×C4×C4⋊C4C2211yescharacteristic
378C2×C4×C4⋊C4C2211yescharacteristic
379C22×#41C2312yes—
380C22×#41C2311yescharacteristic
381C22×#41C2311yescharacteristic
382C23×Q8C2311yescharacteristic
383#547—216no—
384#537—28no—
385C2×C4⋊Q8C2312yes—
386#529—48no—
387C2×#126C2312yes—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#125C2312yes—
392C2×#124C2312yes—
393C2×#124C2312yes—
394C2×#124C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2312yes—
422#520—44no—
423#520—44no—
424C4×#41—48no—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
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×#117C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C4⋊C4C2311yescharacteristic
466C22×C42C2312yes—
467C22×C42C2312yes—
468C22×C42C2312yes—
469C22×C42C2311yescharacteristic
470C22×C42C2311yescharacteristic
471C22×C42C2311yescharacteristic
472#401C2312yes—
473#401C2312yes—
474#401C2312yes—
475#401C2312yes—
476#401C2312yes—
477#401C2312yes—
478#401C2312yes—
479#401C2312yes—
480#401C2312yes—
481#401C2312yes—
482#401C2312yes—
483#400C2312yes—
484#400C2312yes—
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#399C2312yes—
525#399C2312yes—
526#399C2312yes—
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
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#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
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#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#393C2312yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#392C2312yes—
658#392C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2311yescharacteristic
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2311yescharacteristic
679#391C2311yescharacteristic
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2311yescharacteristic
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#391C2311yescharacteristic
692#391C2311yescharacteristic
693#391C2312yes—
694#391C2312yes—
695#391C2311yescharacteristic
696#391C2312yes—
697#391C2312yes—
698#390C2312yes—
699#390C2311yescharacteristic
700#390C2311yescharacteristic
701#390C2311yescharacteristic
702#390C2311yescharacteristic
703#390C2311yescharacteristic
704#390C2312yes—
705#390C2311yescharacteristic
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#389C2311yescharacteristic
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2311yescharacteristic
731#389C2312yes—
732#389C2312yes—
733#389C2311yescharacteristic
734#389C2312yes—
735#389C2311yescharacteristic
736#389C2311yescharacteristic
737#389C2312yes—
738#389C2312yes—
739#389C2311yescharacteristic
740#389C2312yes—
741#389C2311yescharacteristic
742#388C2312yes—
743#388C2312yes—
744#388C2312yes—
745#388C2312yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#388C2312yes—
751#388C2312yes—
752#388C2312yes—
753#388C2312yes—
754#388C2312yes—
755#388C2312yes—
756#388C2312yes—
757#388C2312yes—
758#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
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#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
813#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
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#386C2312yes—
889#386C2312yes—
890#386C2312yes—
891#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2312yes—
907#386C2312yes—
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
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#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
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#383C2312yes—
991#383C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#381C2312yes—
1012#381C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#380C2311yescharacteristic
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2311yescharacteristic
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
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×C22⋊C4C2312yes—
1062C4×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊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—
1086#376C2312yes—
1087#376C2312yes—
1088C2×#95C2312yes—
1089C2×#95C2312yes—
1090C2×#95C2312yes—
1091C2×#95C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2311yescharacteristic
1095C2×#95C2311yescharacteristic
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#95C2312yes—
1104C2×#41—28no—
1105C2×#41—24no—
1106C2×#41—44no—
1107C2×#41—42no—
1108C2×#41—42no—
1109C2×#41—42no—
1110C2×#41—42no—
1111C2×#41—44no—
1112C2×#41#4118yes—
1113C22×Q8—42no—
1114C22×Q8—42no—
1115C22×Q8—42no—
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2412yes—
1118C22×Q8C2411yescharacteristic
1119C22×Q8C2412yes—
1120C22×Q8C2411yescharacteristic
1121C22×Q8C2412yes—
1122C22×Q8C2411yescharacteristic
1123C22×Q8C2411yescharacteristic
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2411yescharacteristic
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2411yescharacteristic
1135C22×D4C2411yescharacteristic
1136C23×C4C2411yescharacteristic
1137C23×C4C2412yes—
1138C23×C4C2411yescharacteristic
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2411yescharacteristic
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2411yescharacteristic
1148C23×C4C2411yescharacteristic
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2411yescharacteristic
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158C23×C4C2412yes—
1159C23×C4C2411yescharacteristic
1160C4⋊Q8—28no—
1161#126—44no—
1162#126—44no—
1163#126—44no—
1164#126—44no—
1165#125—44no—
1166#124—44no—
1167#124—44no—
1168#124—44no—
1169#123—28no—
1170#123—28no—
1171#123—28no—
1172#123—28no—
1173#123—44no—
1174#123—44no—
1175#123—44no—
1176#123—44no—
1177#123—44no—
1178C22⋊Q8—28no—
1179C22⋊Q8—28no—
1180C22⋊Q8—28no—
1181C22⋊Q8—28no—
1182C22⋊Q8—42no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187#121—28no—
1188#121—28no—
1189#121—28no—
1190#121—28no—
1191#121—28no—
1192#121—28no—
1193#121—42no—
1194#121—44no—
1195#121—44no—
1196C4×Q8—44no—
1197C4×Q8—44no—
1198C4×Q8—44no—
1199C4×Q8—44no—
1200C4×Q8—44no—
1201C4×D4—28no—
1202C4×D4—28no—
1203C4×D4—28no—
1204C4×D4—28no—
1205C4×D4—28no—
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—44no—
1217C4×D4—44no—
1218#117—44no—
1219#117—44no—
1220#117—44no—
1221#117—44no—
1222#117—44no—
1223#117—44no—
1224#117—44no—
1225#117—44no—
1226#117—42no—
1227#117—42no—
1228C2×C4⋊C4—24no—
1229C2×C4⋊C4—28no—
1230C2×C4⋊C4—28no—
1231C2×C4⋊C4—24no—
1232C2×C4⋊C4—42no—
1233C2×C4⋊C4—42no—
1234C2×C4⋊C4—44no—
1235C2×C4⋊C4—44no—
1236C2×C4⋊C4—42no—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2411yescharacteristic
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2411yescharacteristic
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
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×C42—28no—
1386C2×C42—44no—
1387C2×C42—44no—
1388C2×C42—42no—
1389C2×C42—42no—
1390C2×C42—42no—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2411yescharacteristic
1419C2×C42C2411yescharacteristic
1420C2×C42C2411yescharacteristic
1421C2×C42C2411yescharacteristic
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
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—
1542C24C2512yes—
1543C24C2512yes—
1544C24C2512yes—
1545C24C2511yescharacteristic
1546#41—416no—
1547#41—416no—
1548#41—432no—
1549C2×Q8—22no—
1550C2×Q8—24no—
1551C2×Q8—22no—
1552C2×Q8—24no—
1553C2×Q8—22no—
1554C2×Q8—41no—
1555C2×Q8—42no—
1556C2×Q8—41no—
1557C2×Q8—41no—
1558C2×Q8—41no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—41no—
1564C2×Q8—42no—
1565C2×Q8—41no—
1566C2×Q8—41no—
1567C2×Q8—41no—
1568C2×Q8—42no—
1569C2×Q8—41no—
1570C2×Q8—41no—
1571C2×Q8—41no—
1572C2×Q8—88no—
1573C2×Q8C2×#4114yes—
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—24no—
1586C2×D4—22no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—42no—
1590C2×D4—41no—
1591C2×D4—41no—
1592C2×D4—42no—
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—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—41no—
1607C2×D4—41no—
1608C2×D4C2×#4118yes—
1609C2×D4C2×#4114yes—
1610C22×C4—22no—
1611C22×C4—22no—
1612C22×C4—22no—
1613C22×C4—22no—
1614C22×C4—22no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—24no—
1621C22×C4—22no—
1622C22×C4—22no—
1623C22×C4—24no—
1624C22×C4—22no—
1625C22×C4—22no—
1626C22×C4—24no—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—24no—
1630C22×C4—24no—
1631C22×C4—24no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—41no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—41no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—41no—
1647C22×C4—41no—
1648C22×C4—41no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—41no—
1661C22×C4—41no—
1662C22×C4—42no—
1663C22×C4—41no—
1664C22×C4—41no—
1665C22×C4—42no—
1666C22×C4—41no—
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×C4—42no—
1679C22×C4C2×#4114yes—
1680C22×C4C2×#4118yes—
1681C22×C4H(5,𝔽2)14yes—
1682C22×C4C2511yescharacteristic
1683C22×C4C2511yescharacteristic
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
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×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2511yescharacteristic
1709C22×C4C2511yescharacteristic
1710C22×C4C2512yes—
1711C22×C4C2511yescharacteristic
1712C22×C4C2511yescharacteristic
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—22no—
1734C4⋊C4—22no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—41no—
1738C4⋊C4—41no—
1739C4⋊C4—41no—
1740C4⋊C4—42no—
1741C4⋊C4—41no—
1742C4⋊C4—42no—
1743C4⋊C4—41no—
1744C4⋊C4—41no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—41no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—41no—
1754C4⋊C4—41no—
1755C4⋊C4—41no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—41no—
1762C4⋊C4—41no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—41no—
1779C4⋊C4—42no—
1780C4⋊C4—41no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
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—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
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—
1861C42—24no—
1862C42—24no—
1863C42—24no—
1864C42—24no—
1865C42—24no—
1866C42—24no—
1867C42—24no—
1868C42—24no—
1869C42—24no—
1870C42—24no—
1871C42—42no—
1872C42—42no—
1873C42—41no—
1874C42—41no—
1875C42—41no—
1876C42—41no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C23—21no—
1893C23—21no—
1894C23—21no—
1895C23—21no—
1896C23—22no—
1897C23—22no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23C22×#4114yes—
1917C23C22×#4112yes—
1918C23C2×H(5,𝔽2)12yes—
1919C23#58512yes—
1920C23C2611yescharacteristic
1921Q8—44no—
1922Q8—44no—
1923Q8—48no—
1924Q8—82no—
1925Q8—84no—
1926Q8—82no—
1927Q8—84no—
1928Q8—161no—
1929D4—216no—
1930D4—44no—
1931D4—44no—
1932D4—48no—
1933D4—48no—
1934D4—48no—
1935D4—84no—
1936D4—84no—
1937D4—84no—
1938D4—84no—
1939D4—162no—
1940D4—161no—
1941C2×C4—28no—
1942C2×C4—22no—
1943C2×C4—21no—
1944C2×C4—21no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—21no—
1951C2×C4—22no—
1952C2×C4—21no—
1953C2×C4—22no—
1954C2×C4—28no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
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—21no—
1984C2×C4—21no—
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—22no—
2000C2×C4—22no—
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—21no—
2016C2×C4—21no—
2017C2×C4—21no—
2018C2×C4—21no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—48no—
2031C2×C4—44no—
2032C2×C4—48no—
2033C2×C4—48no—
2034C2×C4—48no—
2035C2×C4—48no—
2036C2×C4—48no—
2037C2×C4—84no—
2038C2×C4—84no—
2039C2×C4—82no—
2040C2×C4—82no—
2041C2×C4—84no—
2042C2×C4—84no—
2043C2×C4—82no—
2044C2×C4—82no—
2045C2×C4—84no—
2046C2×C4—84no—
2047C2×C4—84no—
2048C2×C4—84no—
2049C2×C4—162no—
2050C2×C4—162no—
2051C2×C4—162no—
2052C2×C4C22×#4114yes—
2053C2×C4C22×#4112yes—
2054C2×C4C22×#4112yes—
2055C2×C4C2×H(5,𝔽2)14yes—
2056C2×C4#58512yes—
2057C2×C4#58512yes—
2058C22—22no—
2059C22—22no—
2060C22—22no—
2061C22—22no—
2062C22—22no—
2063C22—22no—
2064C22—24no—
2065C22—24no—
2066C22—24no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22#345914yes—
2086C22C23×#4111yescharacteristic
2087C22C22×H(5,𝔽2)11yescharacteristic
2088C22C2×#58511yescharacteristic
2089C22C2×#58511yescharacteristic
2090C22C2×#58511yescharacteristic
2091C222−1+611yescharacteristic
2092C222−1+611yescharacteristic
2093C4—22no—
2094C4—22no—
2095C4—24no—
2096C4—22no—
2097C4—22no—
2098C4—24no—
2099C4—42no—
2100C4—42no—
2101C4—42no—
2102C4—42no—
2103C4—42no—
2104C4—42no—
2105C4—42no—
2106C4—42no—
2107C4—42no—
2108C4—41no—
2109C4—41no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C2—24no—
2125C2—44no—
2126C2—82no—
2127C2—82no—
2128C2C2×#345911yescharacteristic
2129C2#6282611yescharacteristic
2130C2#6287311yescharacteristic
2131C2#6290111yescharacteristic
2132C2#6296011yescharacteristic
2133C2#6299511yescharacteristic
2134C2#6300911yescharacteristic
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. #42382C2semidirect
2. #42379C2semidirect
3. #42353C2semidirect
4. #42338C2semidirect
5. #42159C2semidirect
6. #42149C2semidirect
7. #41858C2semidirect
8. #41669C2semidirect
9. #41515C2semidirect
10. #41474C2semidirect
11. #41173C2semidirect
12. #41116C2semidirect
13. #40456C2semidirect
14. #40336C2semidirect
15. #39318C2semidirect
16. #39291C2semidirect
17. #38877C2semidirect
18. #38669C2semidirect
19. #38596C2semidirect
20. #38486C2semidirect
21. #38467C2semidirect
22. #38444C2semidirect
23. #38425C2semidirect
24. #38320C2semidirect
25. #38234C2semidirect
26. #37904C2semidirect
27. #35460C2semidirect
28. #35450C2semidirect
29. #35387C2semidirect
30. #35144C2semidirect
31. #35042C2semidirect
32. C2×#2514C2semidirect
33. #34735C2semidirect
34. #34289C2semidirect
35. #34274C2semidirect

Maximal subgroups

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

subgroupindex
#423822
#423792
#423532
#423382
#421592
#421492
#418582
#416692
#415152
#414742
#411732
#411162
#404562
#403362
#393182
#392912
#388772
#386692
#385962
#384862
#384672
#384442
#384252
#383202
#382342
#379042
#354602
#354502
#353872
#351442
#350422
C2×#25142
#347352
#342892
#342742