Finite Group Databasebeta

← #10216607

Subgroups — #10216607

Order 512.

4117 conjugacy classes of subgroups.

The subgroup lattice has 1979 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59783C212yesmaximal, complemented
2#59501C212yesmaximal, complemented
3#58796C212yesmaximal, complemented
4#58783C211yesmaximal, characteristic, complemented
5#58615C212yesmaximal, complemented
6#57056C212yesmaximal, complemented
7#56834C211yesmaximal, characteristic, complemented
8#55639C212yesmaximal, complemented
9#55588C212yesmaximal
10#55200C212yesmaximal, complemented
11#52065C212yesmaximal, complemented
12#51545C211yesmaximal, characteristic
13#51449C212yesmaximal, complemented
14#50917C212yesmaximal, complemented
15#50903C212yesmaximal, complemented
16#50361C212yesmaximal, complemented
17#50287C212yesmaximal, complemented
18#50128C212yesmaximal, complemented
19#47588C212yesmaximal, complemented
20#47216C211yesmaximal, characteristic
21#46923C212yesmaximal, complemented
22#45099C212yesmaximal, complemented
23#44829C211yesmaximal, characteristic, complemented
24#44646C212yesmaximal, complemented
25#43993C212yesmaximal, complemented
26#43883C211yesmaximal, characteristic, complemented
27#43757C212yesmaximal
28#42823C212yesmaximal, complemented
29#42789C211yesmaximal, characteristic
30#42062C212yesmaximal, complemented
31#39619C212yesmaximal, complemented
32#38851C212yesmaximal, complemented
33#38690C212yesmaximal, complemented
34#38456C212yesmaximal, complemented
35#37042C212yesmaximal, complemented
36C2×#563C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#557C2212yes—
39C2×#544C2211yescharacteristic
40C2×#542C2211yescharacteristic
41#2865C2212yes—
42#2862C2212yes—
43#2843C2211yescharacteristic
44#2843C2212yes—
45#2843C2212yes—
46#2841C2211yescharacteristic
47#2839C2212yes—
48#2838C2212yes—
49#2836C2212yes—
50#2836C2212yes—
51#2821C2212yes—
52#2820C2212yes—
53#2816C2211yescharacteristic
54#2809C2211yescharacteristic
55#2805C2212yes—
56#2805C2212yes—
57#2802C2212yes—
58#2799C2211yescharacteristic
59#2799C2212yes—
60#2798C2212yes—
61#2798C2212yes—
62#2798C2212yes—
63#2795C2212yes—
64#2795C2212yes—
65#2794C2212yes—
66#2792C2211yescharacteristic
67#2792C2212yes—
68#2792C2212yes—
69#2790C2212yes—
70#2788C2212yes—
71#2783C2212yes—
72#2782C2212yes—
73#2781C2212yes—
74#2781C2212yes—
75#2777C2212yes—
76#2777C2212yes—
77#2776C2212yes—
78#2775C2212yes—
79#2775C2212yes—
80#2775C2212yes—
81#2774C2212yes—
82#2774C2212yes—
83#2774C2212yes—
84#2773C2212yes—
85#2773C2212yes—
86#2773C2212yes—
87#2769C2211yescharacteristic
88#2769C2212yes—
89#2769C2212yes—
90#2769C2212yes—
91#2768C2212yes—
92#2767C2212yes—
93#2767C2212yes—
94#2766C2212yes—
95#2764C2211yescharacteristic
96#2764C2211yescharacteristic
97#2764C2212yes—
98#2764C2212yes—
99#2763C2212yes—
100#2762C2212yes—
101#2759C2212yes—
102#2758C2212yes—
103#2758C2212yes—
104#2758C2212yes—
105#2758C2212yes—
106#2758C2212yes—
107#2758C2212yes—
108#2755C2212yes—
109#2754C2212yes—
110#2744C2212yes—
111#2742C2212yes—
112#2742C2211yescharacteristic
113#2739C2212yes—
114#2738C2212yes—
115#2738C2212yes—
116#2738C2212yes—
117#2734C2212yes—
118#2734C2212yes—
119#2731C2212yes—
120#2729C2212yes—
121#2729C2212yes—
122#2729C2212yes—
123#2729C2212yes—
124#2726C2212yes—
125#2726C2212yes—
126#2726C2212yes—
127#2725C2212yes—
128#2721C2212yes—
129#2721C2212yes—
130#2721C2212yes—
131#2721C2212yes—
132#2721C2212yes—
133#2720C2212yes—
134#2720C2212yes—
135#2720C2212yes—
136#2719C2212yes—
137#2719C2212yes—
138#2718C2212yes—
139#2716C2212yes—
140#2716C2212yes—
141#2715C2212yes—
142#2713C2212yes—
143#2713C2212yes—
144#2713C2212yes—
145#2713C2212yes—
146#2713C2212yes—
147#2713C2212yes—
148#2713C2212yes—
149#2713C2212yes—
150#2713C2212yes—
151#2713C2212yes—
152#2713C2212yes—
153#2708C2212yes—
154#2707C2212yes—
155#2704C2212yes—
156#2704C2212yes—
157#2704C2212yes—
158#2702C2212yes—
159#2700C2212yes—
160#2700C2212yes—
161#2700C2212yes—
162#2698C2212yes—
163#2698C2212yes—
164#2694C2212yes—
165#2690C2212yes—
166#2690C2212yes—
167#2689C2212yes—
168#2687C2212yes—
169#2677C2211yescharacteristic
170#2677C2212yes—
171#2677C2212yes—
172#2674C2212yes—
173#2674C2212yes—
174#2667C2212yes—
175#2666C2212yes—
176#2666C2212yes—
177#2666C2212yes—
178#2666C2212yes—
179#2665C2212yes—
180#2664C2212yes—
181#2660C2212yes—
182#2660C2211yescharacteristic
183#2660C2212yes—
184#2660C2212yes—
185#2658C2212yes—
186#2655C2212yes—
187#2654C2212yes—
188#2650C2212yes—
189#2642C2211yescharacteristic
190#2637C2212yes—
191#2637C2212yes—
192#2632C2212yes—
193#2632C2212yes—
194#2628C2211yescharacteristic
195#2612C2212yes—
196#2612C2212yes—
197#2612C2212yes—
198#2612C2211yescharacteristic
199#2612C2212yes—
200#2611C2211yescharacteristic
201#2611C2211yescharacteristic
202#2607C2211yescharacteristic
203#2607C2212yes—
204#2606C2212yes—
205#2606C2212yes—
206#2605C2212yes—
207#2605C2212yes—
208#2605C2212yes—
209#2605C2212yes—
210#2604C2212yes—
211#2604C2212yes—
212#2604C2212yes—
213#2604C2212yes—
214#2596C2212yes—
215#2595C2212yes—
216#2591C2211yescharacteristic
217#2589C2212yes—
218#2589C2212yes—
219#2588C2212yes—
220#2588C2212yes—
221#2588C2212yes—
222#2588C2212yes—
223#2586C2211yescharacteristic
224#2586C2211yescharacteristic
225#2586C2212yes—
226#2584C2212yes—
227#2580C2211yescharacteristic
228#2577C2212yes—
229#2575C2212yes—
230#2573C2212yes—
231#2568C2212yes—
232#2568C2212yes—
233#2568C2212yes—
234#2567C2212yes—
235#2567C2212yes—
236#2565C2212yes—
237#2565C2212yes—
238#2565C2212yes—
239#2565C2212yes—
240#2560C2212yes—
241#2558C2212yes—
242#2556C2212yes—
243#2556C2212yes—
244#2556C2212yes—
245#2556C2212yes—
246#2552C2212yes—
247#2552C2212yes—
248#2552C2212yes—
249#2551C2212yes—
250#2550C2212yes—
251#2550C2212yes—
252#2549C2212yes—
253#2549C2212yes—
254#2542C2211yescharacteristic
255#2533C2212yes—
256#2533C2212yes—
257#2533C2212yes—
258#2533C2212yes—
259#2533C2212yes—
260#2532C2212yes—
261#2532C2212yes—
262#2532C2212yes—
263#2532C2212yes—
264#2532C2212yes—
265#2532C2212yes—
266#2532C2212yes—
267#2529C2212yes—
268#2527C2212yes—
269#2526C2212yes—
270#2525C2212yes—
271#2525C2212yes—
272#2524C2212yes—
273#2524C2212yes—
274#2524C2212yes—
275#2524C2212yes—
276#2523C2212yes—
277#2523C2211yescharacteristic
278#2522C2212yes—
279#2522C2212yes—
280#2521C2212yes—
281#2521C2212yes—
282#2521C2212yes—
283#2520C2212yes—
284#2519C2212yes—
285#2519C2212yes—
286#2519C2212yes—
287#2518C2212yes—
288#2517C2211yescharacteristic
289#2515C2212yes—
290#2508C2212yes—
291#2508C2212yes—
292#2506C2212yes—
293#2506C2212yes—
294#2506C2212yes—
295#2505C2212yes—
296#2499C2211yescharacteristic
297#2496C2212yes—
298#2492C2212yes—
299#2491C2212yes—
300#2488C2212yes—
301#2484C2211yescharacteristic
302#2479C2212yes—
303#2477C2212yes—
304#2474C2212yes—
305#2470C2212yes—
306#2469C2212yes—
307#2469C2212yes—
308#2465C2212yes—
309#2465C2212yes—
310#2465C2212yes—
311#2462C2212yes—
312#2462C2212yes—
313#2460C2212yes—
314#2458C2212yes—
315#2453C2212yes—
316#2453C2212yes—
317#2451C2212yes—
318#2451C2212yes—
319#2451C2212yes—
320#2451C2212yes—
321#2451C2212yes—
322#2451C2212yes—
323#2451C2212yes—
324#2448C2212yes—
325#2446C2212yes—
326#2446C2212yes—
327#2446C2212yes—
328#2446C2212yes—
329#2446C2212yes—
330#2442C2212yes—
331#2441C2212yes—
332#2439C2212yes—
333#2423C2212yes—
334#2423C2212yes—
335#2423C2212yes—
336#2423C2212yes—
337#2423C2212yes—
338#2421C2212yes—
339#2419C2212yes—
340#2402C2212yes—
341#2396C2211yescharacteristic
342#2396C2212yes—
343#2383C2212yes—
344#2381C2212yes—
345#2373C2212yes—
346#2373C2212yes—
347#2372C2212yes—
348#2372C2211yescharacteristic
349#2371C2212yes—
350#2371C2212yes—
351#2371C2212yes—
352#2369C2212yes—
353#2362C2212yes—
354#2362C2212yes—
355#2360C2212yes—
356#2356C2212yes—
357#2356C2211yescharacteristic
358#2356C2212yes—
359Q8×C4⋊C4C2212yes—
360#2346C2212yes—
361#2343C2212yes—
362#2337C2212yes—
363#2336C2212yes—
364#2334C2212yes—
365#2332C2211yescharacteristic
366#2332C2212yes—
367#2331C2212yes—
368#2331C2212yes—
369#2329C2212yes—
370#2327C2212yes—
371#2327C2212yes—
372#2323C2212yes—
373#2320C2212yes—
374C4×C4⋊Q8C2212yes—
375C4×#126C2212yes—
376#2298C2212yes—
377#2295C2212yes—
378#2295C2212yes—
379#563—44no—
380Q82—44no—
381#557—48no—
382#544—44no—
383#542—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2311yescharacteristic
395C2×C4⋊Q8C2311yescharacteristic
396C2×C4⋊Q8C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2311yescharacteristic
410C2×#125C2311yescharacteristic
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#124C2311yescharacteristic
418C2×#124C2312yes—
419C2×#124C2312yes—
420C2×#124C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×#121C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451#401C2312yes—
452#400C2311yescharacteristic
453#400C2312yes—
454#400C2312yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2311yescharacteristic
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#400C2311yescharacteristic
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2311yescharacteristic
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2311yescharacteristic
521#399C2311yescharacteristic
522#399C2312yes—
523#399C2312yes—
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#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2311yescharacteristic
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2311yescharacteristic
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#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2311yescharacteristic
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2311yescharacteristic
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#395C2312yes—
624#395C2312yes—
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#395C2312yes—
640#395C2311yescharacteristic
641#395C2311yescharacteristic
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2311yescharacteristic
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2311yescharacteristic
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2311yescharacteristic
675#393C2311yescharacteristic
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2311yescharacteristic
708#391C2311yescharacteristic
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#391C2312yes—
729#391C2312yes—
730#390C2312yes—
731#390C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
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#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
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#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
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#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
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#385C2311yescharacteristic
990#385C2312yes—
991#385C2311yescharacteristic
992#384C2312yes—
993#384C2312yes—
994#384C2312yes—
995#384C2312yes—
996#384C2312yes—
997#384C2312yes—
998#384C2312yes—
999#384C2312yes—
1000#384C2311yescharacteristic
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#383C2312yes—
1010#383C2312yes—
1011#383C2312yes—
1012#383C2312yes—
1013#383C2312yes—
1014#383C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2311yescharacteristic
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2311yescharacteristic
1031#381C2311yescharacteristic
1032#381C2312yes—
1033#381C2312yes—
1034#381C2311yescharacteristic
1035#381C2312yes—
1036#381C2311yescharacteristic
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
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×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2311yescharacteristic
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—
1092#376C2312yes—
1093#376C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2311yescharacteristic
1100#376C2311yescharacteristic
1101C2×#95C2312yes—
1102C43C2312yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2411yescharacteristic
1110C22×Q8C2412yes—
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2411yescharacteristic
1115C22×D4C2411yescharacteristic
1116C22×D4C2412yes—
1117C23×C4C2411yescharacteristic
1118C23×C4C2411yescharacteristic
1119C23×C4C2412yes—
1120C23×C4C2411yescharacteristic
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C4⋊Q8—28no—
1124C4⋊Q8—28no—
1125C4⋊Q8—28no—
1126C4⋊Q8—44no—
1127C4⋊Q8—44no—
1128C4⋊Q8—42no—
1129C4⋊Q8—42no—
1130C4⋊Q8—44no—
1131C4⋊Q8—44no—
1132C4⋊Q8—44no—
1133C4⋊Q8—44no—
1134C4⋊Q8—44no—
1135C4⋊Q8—44no—
1136#126—28no—
1137#126—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#125—44no—
1143#125—44no—
1144#125—44no—
1145#125—44no—
1146#125—44no—
1147#125—42no—
1148#125—42no—
1149#125—44no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#124—24no—
1157#124—44no—
1158#124—44no—
1159#124—44no—
1160#123—44no—
1161#123—44no—
1162C22⋊Q8—24no—
1163C22⋊Q8—28no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—42no—
1172#121—42no—
1173C4×Q8—24no—
1174C4×Q8—28no—
1175C4×Q8—28no—
1176C4×Q8—44no—
1177C4×Q8—42no—
1178C4×Q8—44no—
1179C4×Q8—44no—
1180C4×Q8—44no—
1181C4×Q8—44no—
1182C4×Q8—44no—
1183C4×Q8—44no—
1184C4×Q8—44no—
1185C4×D4—42no—
1186#117—28no—
1187#117—42no—
1188#117—44no—
1189C2×C4⋊C4—42no—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2411yescharacteristic
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2411yescharacteristic
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2411yescharacteristic
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊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⋊C4C2411yescharacteristic
1314C2×C22⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1337C2×C22⋊C4C2411yescharacteristic
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C42C2411yescharacteristic
1341C2×C42C2412yes—
1342C2×C42C2411yescharacteristic
1343C2×C42C2412yes—
1344C2×C42C2412yes—
1345C2×C42C2412yes—
1346C2×C42C2412yes—
1347C2×C42C2412yes—
1348C2×C42C2412yes—
1349C2×C42C2412yes—
1350C2×C42C2412yes—
1351C2×C42C2412yes—
1352C2×C42C2412yes—
1353C2×C42C2412yes—
1354C2×C42C2412yes—
1355C2×C42C2412yes—
1356C2×C42C2412yes—
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2412yes—
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2412yes—
1367C2×C42C2412yes—
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2411yescharacteristic
1373C2×C42C2412yes—
1374C2×C42C2412yes—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2412yes—
1378C2×C42C2411yescharacteristic
1379#95C2412yes—
1380#95C2412yes—
1381#95C2412yes—
1382#95C2412yes—
1383#95C2412yes—
1384#95C2412yes—
1385#95C2411yescharacteristic
1386#95C2412yes—
1387#95C2411yescharacteristic
1388#95C2412yes—
1389#95C2412yes—
1390#95C2411yescharacteristic
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2411yescharacteristic
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2411yescharacteristic
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2411yescharacteristic
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—
1513C24C2512yes—
1514C24C2511yescharacteristic
1515C2×Q8—24no—
1516C2×Q8—24no—
1517C2×Q8—24no—
1518C2×Q8—24no—
1519C2×Q8—24no—
1520C2×Q8—24no—
1521C2×Q8—24no—
1522C2×Q8—41no—
1523C2×Q8—42no—
1524C2×Q8—42no—
1525C2×Q8—41no—
1526C2×Q8—41no—
1527C2×Q8—42no—
1528C2×Q8—42no—
1529C2×Q8—42no—
1530C2×Q8—42no—
1531C2×Q8—42no—
1532C2×Q8—41no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—41no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—41no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—41no—
1546C2×Q8—41no—
1547C2×Q8H(5,𝔽2)14yes—
1548C2×D4—22no—
1549C2×D4—41no—
1550C2×D4—41no—
1551C2×D4—42no—
1552C2×D4—42no—
1553C2×D4—42no—
1554C22×C4—24no—
1555C22×C4—22no—
1556C22×C4—24no—
1557C22×C4—41no—
1558C22×C4—42no—
1559C22×C4—42no—
1560C22×C4—41no—
1561C22×C4—41no—
1562C22×C4—41no—
1563C22×C4—42no—
1564C22×C4—42no—
1565C22×C4—42no—
1566C22×C4—42no—
1567C22×C4—41no—
1568C22×C4—42no—
1569C22×C4—42no—
1570C22×C4—41no—
1571C22×C4C2512yes—
1572C22×C4C2512yes—
1573C22×C4C2512yes—
1574C22×C4C2512yes—
1575C22×C4C2512yes—
1576C22×C4C2512yes—
1577C22×C4C2512yes—
1578C22×C4C2512yes—
1579C22×C4C2512yes—
1580C22×C4C2512yes—
1581C22×C4C2511yescharacteristic
1582C22×C4C2512yes—
1583C22×C4C2511yescharacteristic
1584C22×C4C2512yes—
1585C22×C4C2512yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2511yescharacteristic
1590C22×C4C2511yescharacteristic
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2511yescharacteristic
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2512yes—
1597C22×C4C2512yes—
1598C22×C4C2512yes—
1599C22×C4C2511yescharacteristic
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—22no—
1607C4⋊C4—24no—
1608C4⋊C4—22no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—24no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—24no—
1625C4⋊C4—24no—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—24no—
1632C4⋊C4—24no—
1633C4⋊C4—24no—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—42no—
1638C4⋊C4—42no—
1639C4⋊C4—42no—
1640C4⋊C4—42no—
1641C4⋊C4—42no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—42no—
1645C4⋊C4—42no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4—42no—
1649C4⋊C4—42no—
1650C4⋊C4—42no—
1651C4⋊C4—42no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—41no—
1655C4⋊C4—42no—
1656C4⋊C4—41no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—41no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—41no—
1680C4⋊C4—41no—
1681C4⋊C4—41no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—41no—
1704C4⋊C4—41no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C42−1+418yes—
1713C22⋊C4—24no—
1714C22⋊C4—24no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—24no—
1718C22⋊C4—24no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—24no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—42no—
1727C22⋊C4—42no—
1728C22⋊C4—42no—
1729C22⋊C4—41no—
1730C22⋊C4—42no—
1731C22⋊C4—42no—
1732C22⋊C4—42no—
1733C22⋊C4—42no—
1734C22⋊C4—41no—
1735C22⋊C4—42no—
1736C22⋊C4—41no—
1737C22⋊C4—41no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C42—22no—
1755C42—24no—
1756C42—22no—
1757C42—24no—
1758C42—24no—
1759C42—24no—
1760C42—24no—
1761C42—24no—
1762C42—24no—
1763C42—24no—
1764C42—24no—
1765C42—24no—
1766C42—24no—
1767C42—24no—
1768C42—24no—
1769C42—24no—
1770C42—24no—
1771C42—24no—
1772C42—42no—
1773C42—42no—
1774C42—42no—
1775C42—42no—
1776C42—42no—
1777C42—41no—
1778C42—42no—
1779C42—41no—
1780C42—42no—
1781C42—42no—
1782C42—42no—
1783C42—42no—
1784C42—42no—
1785C42—42no—
1786C42—42no—
1787C42—42no—
1788C42—42no—
1789C42—42no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C23—22no—
1794C23—21no—
1795C23—22no—
1796C23—22no—
1797C23—22no—
1798C23—22no—
1799C23—22no—
1800C23—22no—
1801C23—21no—
1802C23—21no—
1803C23—22no—
1804C23—22no—
1805C23C2611yescharacteristic
1806Q8—44no—
1807Q8—48no—
1808Q8—44no—
1809Q8—48no—
1810Q8—84no—
1811Q8—84no—
1812Q8—161no—
1813Q8—161no—
1814Q8—162no—
1815Q8—162no—
1816Q8—162no—
1817Q8—161no—
1818D4—82no—
1819D4—162no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—44no—
1910C2×C4—82no—
1911C2×C4—84no—
1912C2×C4—162no—
1913C2×C4—161no—
1914C2×C4—162no—
1915C2×C4C2×H(5,𝔽2)14yes—
1916C2×C4C2×H(5,𝔽2)12yes—
1917C2×C4C2×2−1+414yes—
1918C2×C4C2×2−1+414yes—
1919C2×C4C2×2−1+414yes—
1920C2×C4#58514yes—
1921C22—41no—
1922C22—42no—
1923C22—42no—
1924C22—41no—
1925C22—41no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22C22×H(5,𝔽2)11yescharacteristic
1934C22C22×2−1+412yes—
1935C22C2×#58512yes—
1936C222−1+611yescharacteristic
1937C222−1+611yescharacteristic
1938C4—24no—
1939C4—24no—
1940C4—22no—
1941C4—24no—
1942C4—24no—
1943C4—24no—
1944C4—41no—
1945C4—41no—
1946C4—42no—
1947C4—42no—
1948C4—42no—
1949C4—41no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4—42no—
1954C4—41no—
1955C4—42no—
1956C4—41no—
1957C4—42no—
1958C4—42no—
1959C4—42no—
1960C4—42no—
1961C4—42no—
1962C4—42no—
1963C4—42no—
1964C4—42no—
1965C4—42no—
1966C4—42no—
1967C4—42no—
1968C4—42no—
1969C4—42no—
1970C4—42no—
1971C2—81no—
1972C2—82no—
1973C2#6287111yescharacteristic
1974C2#6292812yes—
1975C2#6295312yes—
1976C2#6301611yescharacteristic
1977C2#6303511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#121C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59783C2semidirect
2. #59501C2semidirect
3. #58796C2semidirect
4. #58783C2semidirect
5. #58615C2semidirect
6. #57056C2semidirect
7. #56834C2semidirect
8. #55639C2semidirect
10. #55200C2semidirect
11. #52065C2semidirect
13. #51449C2semidirect
14. #50917C2semidirect
15. #50903C2semidirect
16. #50361C2semidirect
17. #50287C2semidirect
18. #50128C2semidirect
19. #47588C2semidirect
21. #46923C2semidirect
22. #45099C2semidirect
23. #44829C2semidirect
24. #44646C2semidirect
25. #43993C2semidirect
26. #43883C2semidirect
28. #42823C2semidirect
30. #42062C2semidirect
31. #39619C2semidirect
32. #38851C2semidirect
33. #38690C2semidirect
34. #38456C2semidirect
35. #37042C2semidirect

Maximal subgroups

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

subgroupindex
#597832
#595012
#587962
#587832
#586152
#570562
#568342
#556392
#555882
#552002
#520652
#515452
#514492
#509172
#509032
#503612
#502872
#501282
#475882
#472162
#469232
#450992
#448292
#446462
#439932
#438832
#437572
#428232
#427892
#420622
#396192
#388512
#386902
#384562
#370422