Finite Group Databasebeta

← #7658383

Subgroups — #7658383

Order 512.

4514 conjugacy classes of subgroups.

The subgroup lattice has 2130 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42161C212yesmaximal, complemented
2#42016C212yesmaximal, complemented
3#42014C212yesmaximal, complemented
4#41975C212yesmaximal, complemented
5#41766C212yesmaximal, complemented
6#41753C212yesmaximal, complemented
7#41681C212yesmaximal, complemented
8#41677C212yesmaximal, complemented
9#41139C212yesmaximal, complemented
10#41131C212yesmaximal, complemented
11#41120C212yesmaximal, complemented
12#41116C212yesmaximal, complemented
13#41107C212yesmaximal, complemented
14#41088C212yesmaximal, complemented
15#41025C212yesmaximal, complemented
16#41009C212yesmaximal, complemented
17#40551C212yesmaximal, complemented
18#40550C212yesmaximal, complemented
19#37566C211yesmaximal, characteristic, complemented
20#37544C211yesmaximal, characteristic, complemented
21#37543C211yesmaximal, characteristic, complemented
22#37534C212yesmaximal, complemented
23#37530C212yesmaximal, complemented
24#37529C212yesmaximal, complemented
25#36687C211yesmaximal, characteristic, complemented
26#36677C212yesmaximal, complemented
27#36016C212yesmaximal, complemented
28#35925C212yesmaximal, complemented
29#35852C212yesmaximal, complemented
30#35698C212yesmaximal, complemented
31#35685C212yesmaximal, complemented
32#35684C212yesmaximal, complemented
33#34241C211yesmaximal, characteristic, complemented
34#34236C211yesmaximal, characteristic, complemented
35#34224C211yesmaximal, characteristic, complemented
36C2×#532C2211yescharacteristic
37C2×#529C2211yescharacteristic
38C2×#529C2211yescharacteristic
39#2841C2212yes—
40#2841C2212yes—
41#2838C2212yes—
42#2838C2212yes—
43#2837C2212yes—
44#2837C2212yes—
45#2829C2212yes—
46#2829C2212yes—
47#2828C2212yes—
48#2828C2212yes—
49#2826C2212yes—
50#2825C2212yes—
51#2825C2212yes—
52#2824C2212yes—
53#2821C2212yes—
54#2820C2212yes—
55#2819C2212yes—
56#2818C2212yes—
57#2816C2211yescharacteristic
58#2816C2211yescharacteristic
59#2815C2211yescharacteristic
60#2815C2211yescharacteristic
61#2814C2212yes—
62#2813C2212yes—
63#2813C2212yes—
64#2813C2212yes—
65#2813C2212yes—
66#2813C2212yes—
67#2807C2212yes—
68#2805C2212yes—
69#2803C2212yes—
70#2803C2212yes—
71#2803C2212yes—
72#2800C2212yes—
73#2799C2212yes—
74#2798C2212yes—
75#2796C2212yes—
76#2795C2212yes—
77#2789C2212yes—
78#2786C2212yes—
79#2785C2212yes—
80#2783C2212yes—
81#2781C2212yes—
82#2780C2212yes—
83#2779C2212yes—
84#2778C2212yes—
85#2776C2212yes—
86#2773C2212yes—
87#2773C2212yes—
88#2765C2212yes—
89#2759C2212yes—
90#2756C2212yes—
91#2756C2212yes—
92#2754C2212yes—
93#2752C2212yes—
94#2733C2212yes—
95#2727C2212yes—
96#2727C2212yes—
97#2721C2212yes—
98#2720C2212yes—
99#2718C2212yes—
100#2716C2212yes—
101#2715C2212yes—
102#2715C2212yes—
103#2714C2212yes—
104#2713C2212yes—
105#2712C2212yes—
106#2710C2212yes—
107#2710C2212yes—
108#2709C2212yes—
109#2705C2212yes—
110#2700C2212yes—
111#2695C2212yes—
112#2694C2212yes—
113#2686C2212yes—
114#2673C2212yes—
115#2667C2212yes—
116#2667C2212yes—
117#2667C2211yescharacteristic
118#2667C2211yescharacteristic
119#2666C2212yes—
120#2666C2212yes—
121#2666C2212yes—
122#2666C2212yes—
123#2666C2212yes—
124#2665C2211yescharacteristic
125#2665C2211yescharacteristic
126#2665C2212yes—
127#2664C2212yes—
128#2664C2212yes—
129#2662C2212yes—
130#2662C2212yes—
131#2662C2212yes—
132#2661C2212yes—
133#2658C2211yescharacteristic
134#2657C2211yescharacteristic
135#2655C2212yes—
136#2654C2212yes—
137#2654C2212yes—
138#2653C2212yes—
139#2653C2212yes—
140#2651C2212yes—
141#2651C2212yes—
142#2651C2212yes—
143#2651C2212yes—
144#2650C2212yes—
145#2649C2212yes—
146#2649C2212yes—
147#2649C2212yes—
148#2648C2212yes—
149#2642C2211yescharacteristic
150#2641C2211yescharacteristic
151#2638C2212yes—
152#2638C2212yes—
153#2637C2212yes—
154#2636C2212yes—
155#2636C2212yes—
156#2636C2212yes—
157#2636C2212yes—
158#2636C2212yes—
159#2635C2212yes—
160#2635C2212yes—
161#2635C2212yes—
162#2635C2212yes—
163#2635C2212yes—
164#2634C2211yescharacteristic
165#2633C2211yescharacteristic
166#2633C2212yes—
167#2632C2212yes—
168#2632C2211yescharacteristic
169#2631C2212yes—
170#2631C2211yescharacteristic
171#2630C2212yes—
172#2630C2212yes—
173#2630C2212yes—
174#2630C2212yes—
175#2612C2212yes—
176#2612C2212yes—
177#2609C2212yes—
178#2609C2212yes—
179#2609C2212yes—
180#2608C2212yes—
181#2607C2212yes—
182#2607C2212yes—
183#2606C2212yes—
184#2605C2212yes—
185#2605C2212yes—
186#2604C2212yes—
187#2603C2212yes—
188#2602C2212yes—
189#2602C2212yes—
190#2602C2212yes—
191#2601C2212yes—
192#2600C2212yes—
193#2600C2212yes—
194#2598C2212yes—
195#2598C2212yes—
196#2598C2212yes—
197#2596C2212yes—
198#2595C2212yes—
199#2594C2212yes—
200#2589C2212yes—
201#2579C2212yes—
202#2576C2212yes—
203#2575C2212yes—
204#2575C2212yes—
205#2575C2212yes—
206#2574C2212yes—
207#2574C2212yes—
208#2574C2212yes—
209#2573C2212yes—
210#2573C2212yes—
211#2572C2212yes—
212#2556C2212yes—
213#2555C2212yes—
214#2554C2212yes—
215#2553C2212yes—
216#2553C2212yes—
217#2553C2212yes—
218#2550C2212yes—
219#2545C2212yes—
220#2544C2212yes—
221#2544C2212yes—
222#2533C2212yes—
223#2529C2212yes—
224#2524C2212yes—
225#2523C2212yes—
226#2523C2212yes—
227#2522C2212yes—
228#2522C2212yes—
229#2521C2212yes—
230#2521C2212yes—
231#2521C2212yes—
232#2521C2212yes—
233#2521C2212yes—
234#2520C2212yes—
235#2520C2212yes—
236#2519C2212yes—
237#2519C2212yes—
238#2518C2212yes—
239#2518C2212yes—
240#2518C2212yes—
241#2516C2212yes—
242#2516C2212yes—
243#2515C2212yes—
244#2515C2212yes—
245#2514C2212yes—
246#2510C2212yes—
247#2493C2212yes—
248#2485C2212yes—
249#2481C2212yes—
250#2479C2212yes—
251#2476C2212yes—
252#2474C2212yes—
253#2474C2212yes—
254#2469C2212yes—
255#2468C2212yes—
256#2468C2212yes—
257#2468C2212yes—
258#2468C2212yes—
259#2468C2212yes—
260#2467C2212yes—
261#2467C2212yes—
262#2467C2212yes—
263#2467C2212yes—
264#2467C2212yes—
265#2467C2212yes—
266#2466C2212yes—
267#2466C2212yes—
268#2466C2212yes—
269#2464C2212yes—
270#2461C2212yes—
271#2460C2212yes—
272#2460C2212yes—
273#2460C2212yes—
274#2459C2212yes—
275#2459C2212yes—
276#2459C2212yes—
277#2459C2212yes—
278#2459C2212yes—
279#2459C2212yes—
280#2459C2212yes—
281#2458C2212yes—
282#2457C2212yes—
283#2457C2212yes—
284#2457C2212yes—
285#2456C2212yes—
286#2456C2212yes—
287#2456C2212yes—
288#2455C2212yes—
289#2454C2212yes—
290#2450C2212yes—
291#2447C2212yes—
292#2443C2212yes—
293#2439C2212yes—
294#2432C2212yes—
295#2431C2212yes—
296#2431C2212yes—
297#2425C2212yes—
298#2420C2212yes—
299#2407C2212yes—
300#2406C2212yes—
301#2401C2212yes—
302#2401C2212yes—
303#2398C2212yes—
304#2397C2212yes—
305#2397C2212yes—
306#2395C2212yes—
307#2395C2212yes—
308#2392C2212yes—
309#2392C2212yes—
310#2392C2212yes—
311#2392C2212yes—
312#2392C2212yes—
313#2392C2212yes—
314#2388C2212yes—
315#2388C2212yes—
316#2388C2212yes—
317#2388C2212yes—
318#2388C2212yes—
319#2373C2212yes—
320#2373C2212yes—
321#2373C2212yes—
322#2373C2212yes—
323#2373C2212yes—
324#2372C2212yes—
325#2370C2212yes—
326#2369C2212yes—
327#2368C2211yescharacteristic
328#2368C2211yescharacteristic
329#2367C2212yes—
330#2366C2212yes—
331#2364C2212yes—
332#2364C2211yescharacteristic
333#2364C2211yescharacteristic
334#2361C2212yes—
335#2361C2212yes—
336#2359C2212yes—
337#2357C2211yescharacteristic
338#2357C2211yescharacteristic
339#2357C2211yescharacteristic
340#2356C2211yescharacteristic
341#2355C2212yes—
342#2353C2212yes—
343#2352C2212yes—
344#2352C2212yes—
345#2351C2211yescharacteristic
346#2349C2211yescharacteristic
347#2349C2211yescharacteristic
348#2349C2212yes—
349#2349C2211yescharacteristic
350D4×C4⋊C4C2212yes—
351#2347C2212yes—
352#2343C2212yes—
353#2343C2212yes—
354#2339C2212yes—
355#2339C2212yes—
356#2339C2212yes—
357#2337C2212yes—
358#2337C2212yes—
359#2337C2212yes—
360#2336C2212yes—
361#2322C2212yes—
362#2322C2212yes—
363#2319C2212yes—
364#2318C2212yes—
365#2314C2212yes—
366C4×C22⋊Q8C2212yes—
367C4×#123C2212yes—
368C4×#123C2212yes—
369C4×#121C2212yes—
370C4×#121C2212yes—
371C4×#121C2212yes—
372#2283C2211yescharacteristic
373#2283C2211yescharacteristic
374#2283C2211yescharacteristic
375#2275C2212yes—
376#2275C2212yes—
377#2274C2212yes—
378C2×C4×C4⋊C4C2211yescharacteristic
379C22×#41C2312yes—
380C22×#41C2312yes—
381#532—28no—
382C2×C4⋊Q8C2311yescharacteristic
383C2×C4⋊Q8C2312yes—
384C2×#127C2311yescharacteristic
385C2×#127C2312yes—
386#529—28no—
387#529—28no—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#125C2311yescharacteristic
398C2×#125C2311yescharacteristic
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#124C2311yescharacteristic
402C2×#124C2312yes—
403C2×#124C2311yescharacteristic
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2311yescharacteristic
435C2×C4×D4C2312yes—
436C2×C4×D4C2311yescharacteristic
437C2×C4×D4C2311yescharacteristic
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×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2312yes—
464C2×#117C2312yes—
465C22×C4⋊C4C2312yes—
466C22×C4⋊C4C2312yes—
467C22×C42C2312yes—
468C22×C42C2311yescharacteristic
469#401C2312yes—
470#401C2312yes—
471#401C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
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#399C2312yes—
497#399C2312yes—
498#399C2312yes—
499#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#397C2312yes—
543#397C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
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#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#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#392C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2312yes—
739#390C2312yes—
740#390C2312yes—
741#390C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
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#389C2312yes—
766#389C2312yes—
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#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#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
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#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#386C2312yes—
940#386C2312yes—
941#386C2312yes—
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#384C2312yes—
974#383C2312yes—
975#383C2312yes—
976#383C2312yes—
977#383C2312yes—
978#383C2312yes—
979#383C2311yescharacteristic
980#383C2311yescharacteristic
981#383C2312yes—
982#383C2312yes—
983#382C2312yes—
984#382C2312yes—
985#382C2312yes—
986#382C2312yes—
987#382C2312yes—
988#382C2312yes—
989#382C2311yescharacteristic
990#382C2311yescharacteristic
991#382C2311yescharacteristic
992#382C2311yescharacteristic
993#382C2312yes—
994#382C2312yes—
995#381C2311yescharacteristic
996#381C2311yescharacteristic
997#381C2312yes—
998#381C2312yes—
999#381C2312yes—
1000#381C2312yes—
1001#381C2312yes—
1002#381C2312yes—
1003#381C2312yes—
1004#381C2311yescharacteristic
1005#381C2311yescharacteristic
1006#381C2312yes—
1007#381C2312yes—
1008#381C2312yes—
1009#380C2312yes—
1010#380C2312yes—
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2311yescharacteristic
1020#380C2312yes—
1021#380C2311yescharacteristic
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025C4×C4⋊C4C2311yescharacteristic
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2312yes—
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2311yescharacteristic
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2311yescharacteristic
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2312yes—
1056C4×C22⋊C4C2312yes—
1057C4×C22⋊C4C2312yes—
1058C4×C22⋊C4C2312yes—
1059C4×C22⋊C4C2312yes—
1060C4×C22⋊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⋊C4C2311yescharacteristic
1081C4×C22⋊C4C2311yescharacteristic
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2311yescharacteristic
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2311yescharacteristic
1090#376C2312yes—
1091#376C2312yes—
1092#376C2311yescharacteristic
1093#376C2312yes—
1094#376C2311yescharacteristic
1095#376C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#41—28no—
1102C2×#41—44no—
1103C2×#41—82no—
1104C2×#41—82no—
1105C2×#41—82no—
1106C2×#41—82no—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2411yescharacteristic
1117C22×D4C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2411yescharacteristic
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2411yescharacteristic
1147C23×C4C2411yescharacteristic
1148C23×C4C2411yescharacteristic
1149C4⋊Q8—24no—
1150C4⋊Q8—82no—
1151#127—24no—
1152#127—82no—
1153#126—28no—
1154#126—28no—
1155#126—44no—
1156#126—82no—
1157#126—82no—
1158#126—82no—
1159#126—82no—
1160#126—82no—
1161#126—82no—
1162#125—24no—
1163#125—24no—
1164#125—82no—
1165#125—82no—
1166#124—24no—
1167#124—24no—
1168#124—28no—
1169#124—44no—
1170#124—82no—
1171#124—82no—
1172#124—82no—
1173#124—82no—
1174#124—82no—
1175#123—28no—
1176#123—28no—
1177#123—44no—
1178#123—82no—
1179#123—82no—
1180#123—82no—
1181#123—82no—
1182C22⋊Q8—24no—
1183C22⋊Q8—24no—
1184C22⋊Q8—82no—
1185#121—24no—
1186#121—24no—
1187#121—28no—
1188#121—24no—
1189#121—24no—
1190#121—44no—
1191#121—82no—
1192#121—82no—
1193C4×Q8—24no—
1194C4×Q8—24no—
1195C4×Q8—82no—
1196C4×D4—28no—
1197C4×D4—28no—
1198C4×D4—24no—
1199C4×D4—24no—
1200C4×D4—24no—
1201C4×D4—24no—
1202C4×D4—28no—
1203C4×D4—44no—
1204C4×D4—44no—
1205C4×D4—44no—
1206C4×D4—44no—
1207C4×D4—44no—
1208C4×D4—44no—
1209C4×D4—82no—
1210C4×D4—82no—
1211C4×D4—82no—
1212C4×D4—82no—
1213C4×D4—82no—
1214C4×D4—82no—
1215C4×D4—82no—
1216C4×D4—82no—
1217C4×D4—82no—
1218C4×D4—82no—
1219C4×D4—82no—
1220C4×D4—82no—
1221C4×D4—82no—
1222C4×D4—82no—
1223C4×D4—82no—
1224C4×D4—82no—
1225#117—28no—
1226#117—28no—
1227#117—44no—
1228#117—44no—
1229#117—82no—
1230C2×C4⋊C4—44no—
1231C2×C4⋊C4—44no—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2411yescharacteristic
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2411yescharacteristic
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
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⋊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⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊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⋊C4C2411yescharacteristic
1328C2×C22⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2411yescharacteristic
1388C2×C22⋊C4C2411yescharacteristic
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C42—82no—
1396C2×C42#4118yescomplemented
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×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2411yescharacteristic
1426C2×C42C2411yescharacteristic
1427C2×C42C2411yescharacteristic
1428C2×C42C2411yescharacteristic
1429#95C2411yescharacteristic
1430#95C2411yescharacteristic
1431#95C2412yes—
1432#95C2411yescharacteristic
1433#95C2411yescharacteristic
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#95C2411yescharacteristic
1457#95C2411yescharacteristic
1458#95C2411yescharacteristic
1459#95C2411yescharacteristic
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#95C2411yescharacteristic
1481#95C2411yescharacteristic
1482#95C2411yescharacteristic
1483#95C2411yescharacteristic
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—
1535C24C2512yes—
1536C24C2512yes—
1537C24C2512yes—
1538C24C2512yes—
1539C24C2511yescharacteristic
1540#41—816no—
1541#41—816no—
1542C2×Q8—22no—
1543C2×Q8—22no—
1544C2×Q8—24no—
1545C2×Q8—41no—
1546C2×Q8—41no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—22no—
1561C2×D4—22no—
1562C2×D4—22no—
1563C2×D4—24no—
1564C2×D4—22no—
1565C2×D4—24no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—41no—
1572C2×D4—41no—
1573C2×D4—41no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—41no—
1583C2×D4—41no—
1584C2×D4—41no—
1585C2×D4—42no—
1586C2×D4—42no—
1587C2×D4—42no—
1588C2×D4—42no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
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—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—24no—
1621C22×C4—24no—
1622C22×C4—24no—
1623C22×C4—24no—
1624C22×C4—24no—
1625C22×C4—41no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—41no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
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—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
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—42no—
1661C22×C4C2×#4114yes—
1662C22×C4C2×#4114yes—
1663C22×C4C2×#4114yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2512yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2511yescharacteristic
1688C22×C4C2511yescharacteristic
1689C22×C4C2511yescharacteristic
1690C22×C4C2511yescharacteristic
1691C22×C4C2511yescharacteristic
1692C22×C4C2511yescharacteristic
1693C22×C4C2512yes—
1694C4⋊C4—24no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—24no—
1698C4⋊C4—22no—
1699C4⋊C4—22no—
1700C4⋊C4—24no—
1701C4⋊C4—22no—
1702C4⋊C4—22no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—22no—
1706C4⋊C4—22no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
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—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—41no—
1791C22⋊C4—41no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—41no—
1810C22⋊C4—41no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
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—
1857C42—24no—
1858C42—24no—
1859C42—24no—
1860C42—24no—
1861C42—24no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—42no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42C2×#4114yes—
1886C42C2×#4114yes—
1887C42C2×#4114yes—
1888C42C2×#4114yes—
1889C23—22no—
1890C23—21no—
1891C23—22no—
1892C23—21no—
1893C23—22no—
1894C23—22no—
1895C23—22no—
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—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23C22×#4112yes—
1922C23C2611yescharacteristic
1923Q8—44no—
1924Q8—82no—
1925Q8—84no—
1926Q8—84no—
1927Q8—162no—
1928D4—44no—
1929D4—44no—
1930D4—44no—
1931D4—48no—
1932D4—48no—
1933D4—48no—
1934D4—48no—
1935D4—48no—
1936D4—48no—
1937D4—48no—
1938D4—82no—
1939D4—84no—
1940D4—84no—
1941D4—84no—
1942D4—84no—
1943D4—84no—
1944D4—84no—
1945D4—84no—
1946D4—162no—
1947D4—162no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—21no—
1957C2×C4—21no—
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—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—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—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
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—44no—
2028C2×C4—44no—
2029C2×C4—44no—
2030C2×C4—48no—
2031C2×C4—84no—
2032C2×C4—84no—
2033C2×C4—84no—
2034C2×C4—84no—
2035C2×C4—84no—
2036C2×C4—84no—
2037C2×C4—84no—
2038C2×C4—84no—
2039C2×C4—84no—
2040C2×C4—84no—
2041C2×C4—162no—
2042C2×C4—162no—
2043C2×C4—162no—
2044C2×C4C22×#4112yes—
2045C2×C4C22×#4112yes—
2046C2×C4C22×#4112yes—
2047C2×C4C22×#4112yes—
2048C2×C4C22×#4112yes—
2049C2×C4C22×#4112yes—
2050C2×C4#58514yes—
2051C22—22no—
2052C22—22no—
2053C22—22no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—42no—
2059C22—42no—
2060C22—42no—
2061C22—42no—
2062C22—42no—
2063C22—42no—
2064C22—42no—
2065C22—42no—
2066C22—42no—
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—
2084C22C23×#4111yescharacteristic
2085C22C2×#58512yes—
2086C22H(7,𝔽2)11yescharacteristic
2087C22H(7,𝔽2)12yes—
2088C222−1+611yescharacteristic
2089C4—24no—
2090C4—22no—
2091C4—22no—
2092C4—22no—
2093C4—22no—
2094C4—22no—
2095C4—22no—
2096C4—42no—
2097C4—42no—
2098C4—42no—
2099C4—42no—
2100C4—42no—
2101C4—42no—
2102C4—42no—
2103C4—42no—
2104C4—42no—
2105C4—42no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C2—42no—
2120C2—82no—
2121C2—82no—
2122C2—82no—
2123C2—82no—
2124C2#6268611yescharacteristic
2125C2#6284511yescharacteristic
2126C2#6285511yescharacteristic
2127C2#6304212yes—
2128C2#6304312yes—
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. #42161C2semidirect
2. #42016C2semidirect
3. #42014C2semidirect
4. #41975C2semidirect
5. #41766C2semidirect
6. #41753C2semidirect
7. #41681C2semidirect
8. #41677C2semidirect
9. #41139C2semidirect
10. #41131C2semidirect
11. #41120C2semidirect
12. #41116C2semidirect
13. #41107C2semidirect
14. #41088C2semidirect
15. #41025C2semidirect
16. #41009C2semidirect
17. #40551C2semidirect
18. #40550C2semidirect
19. #37566C2semidirect
20. #37544C2semidirect
21. #37543C2semidirect
22. #37534C2semidirect
23. #37530C2semidirect
24. #37529C2semidirect
25. #36687C2semidirect
26. #36677C2semidirect
27. #36016C2semidirect
28. #35925C2semidirect
29. #35852C2semidirect
30. #35698C2semidirect
31. #35685C2semidirect
32. #35684C2semidirect
33. #34241C2semidirect
34. #34236C2semidirect
35. #34224C2semidirect
1396. C2×C42#41semidirect

Maximal subgroups

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

subgroupindex
#421612
#420162
#420142
#419752
#417662
#417532
#416812
#416772
#411392
#411312
#411202
#411162
#411072
#410882
#410252
#410092
#405512
#405502
#375662
#375442
#375432
#375342
#375302
#375292
#366872
#366772
#360162
#359252
#358522
#356982
#356852
#356842
#342412
#342362
#342242