Finite Group Databasebeta

← #9523456

Subgroups — #9523456

Order 512.

4457 conjugacy classes of subgroups.

The subgroup lattice has 2183 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58898C212yesmaximal, complemented
2#58297C212yesmaximal, complemented
3#57942C212yesmaximal, complemented
4#57683C212yesmaximal, complemented
5#56644C212yesmaximal, complemented
6#56371C212yesmaximal, complemented
7#56059C212yesmaximal, complemented
8#55550C212yesmaximal, complemented
9#55463C212yesmaximal, complemented
10#55065C212yesmaximal, complemented
11#54756C212yesmaximal, complemented
12#53563C212yesmaximal, complemented
13#53195C211yesmaximal, characteristic, complemented
14#52903C212yesmaximal, complemented
15#52075C212yesmaximal, complemented
16#51596C212yesmaximal, complemented
17#50842C212yesmaximal, complemented
18#50089C212yesmaximal, complemented
19#48189C212yesmaximal, complemented
20#47795C212yesmaximal, complemented
21#47115C212yesmaximal, complemented
22#46132C211yesmaximal, characteristic, complemented
23#44639C212yesmaximal, complemented
24#44428C212yesmaximal, complemented
25#43406C212yesmaximal, complemented
26#42913C212yesmaximal, complemented
27#42612C212yesmaximal, complemented
28#42259C212yesmaximal, complemented
29#41901C212yesmaximal, complemented
30#41197C212yesmaximal, complemented
31#39670C211yesmaximal, characteristic, complemented
32#39138C211yesmaximal, characteristic
33#37755C211yesmaximal, characteristic, complemented
34#37210C211yesmaximal, characteristic, complemented
35#36761C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#536C2212yes—
40C2×#529C2211yescharacteristic
41#2856C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2851C2211yescharacteristic
45#2837C2212yes—
46#2837C2212yes—
47#2837C2212yes—
48#2836C2212yes—
49#2836C2212yes—
50#2835C2212yes—
51#2831C2212yes—
52#2831C2212yes—
53#2830C2212yes—
54#2830C2212yes—
55#2829C2212yes—
56#2827C2212yes—
57#2824C2212yes—
58#2824C2212yes—
59#2822C2211yescharacteristic
60#2822C2211yescharacteristic
61#2820C2212yes—
62#2816C2212yes—
63#2816C2212yes—
64#2814C2212yes—
65#2808C2211yescharacteristic
66#2808C2211yescharacteristic
67#2806C2212yes—
68#2803C2212yes—
69#2800C2212yes—
70#2800C2212yes—
71#2792C2212yes—
72#2791C2212yes—
73#2788C2212yes—
74#2788C2212yes—
75#2788C2212yes—
76#2786C2212yes—
77#2784C2212yes—
78#2781C2212yes—
79#2781C2212yes—
80#2780C2212yes—
81#2780C2212yes—
82#2777C2212yes—
83#2774C2212yes—
84#2774C2212yes—
85#2770C2212yes—
86#2768C2212yes—
87#2768C2212yes—
88#2763C2212yes—
89#2761C2212yes—
90#2761C2212yes—
91#2756C2212yes—
92#2755C2212yes—
93#2755C2212yes—
94#2755C2212yes—
95#2754C2212yes—
96#2750C2212yes—
97#2749C2212yes—
98#2748C2212yes—
99#2748C2212yes—
100#2742C2212yes—
101#2741C2212yes—
102#2740C2212yes—
103#2740C2212yes—
104#2738C2212yes—
105#2738C2212yes—
106#2737C2212yes—
107#2737C2212yes—
108#2734C2211yescharacteristic
109#2734C2212yes—
110#2732C2211yescharacteristic
111#2732C2212yes—
112#2731C2212yes—
113#2731C2212yes—
114#2730C2212yes—
115#2730C2212yes—
116#2730C2212yes—
117#2730C2212yes—
118#2729C2212yes—
119#2727C2211yescharacteristic
120#2727C2211yescharacteristic
121#2726C2211yescharacteristic
122#2725C2212yes—
123#2723C2212yes—
124#2722C2212yes—
125#2722C2212yes—
126#2719C2212yes—
127#2716C2212yes—
128#2716C2212yes—
129#2715C2212yes—
130#2714C2212yes—
131#2714C2212yes—
132#2712C2212yes—
133#2711C2212yes—
134#2711C2212yes—
135#2711C2212yes—
136#2710C2212yes—
137#2710C2212yes—
138#2709C2212yes—
139#2709C2212yes—
140#2709C2212yes—
141#2709C2212yes—
142#2709C2212yes—
143#2709C2212yes—
144#2709C2212yes—
145#2709C2212yes—
146#2708C2212yes—
147#2708C2212yes—
148#2708C2212yes—
149#2708C2212yes—
150#2708C2212yes—
151#2707C2212yes—
152#2707C2212yes—
153#2707C2212yes—
154#2706C2212yes—
155#2706C2212yes—
156#2705C2212yes—
157#2705C2212yes—
158#2705C2212yes—
159#2705C2212yes—
160#2704C2212yes—
161#2702C2212yes—
162#2701C2212yes—
163#2701C2212yes—
164#2701C2212yes—
165#2700C2212yes—
166#2696C2212yes—
167#2696C2212yes—
168#2696C2212yes—
169#2695C2212yes—
170#2695C2212yes—
171#2695C2212yes—
172#2694C2212yes—
173#2693C2212yes—
174#2693C2212yes—
175#2692C2212yes—
176#2692C2212yes—
177#2691C2212yes—
178#2691C2212yes—
179#2690C2212yes—
180#2689C2212yes—
181#2687C2212yes—
182#2687C2212yes—
183#2687C2212yes—
184#2687C2212yes—
185#2686C2212yes—
186#2686C2212yes—
187#2683C2211yescharacteristic
188#2683C2212yes—
189#2683C2212yes—
190#2683C2212yes—
191#2681C2212yes—
192#2681C2212yes—
193#2681C2212yes—
194#2677C2212yes—
195#2674C2212yes—
196#2673C2212yes—
197#2673C2212yes—
198#2672C2212yes—
199#2672C2212yes—
200#2672C2212yes—
201#2665C2212yes—
202#2662C2212yes—
203#2662C2212yes—
204#2659C2211yescharacteristic
205#2659C2212yes—
206#2654C2212yes—
207#2654C2212yes—
208#2651C2212yes—
209#2651C2212yes—
210#2649C2212yes—
211#2648C2212yes—
212#2646C2211yescharacteristic
213#2644C2212yes—
214#2639C2212yes—
215#2639C2212yes—
216#2639C2211yescharacteristic
217#2638C2212yes—
218#2638C2212yes—
219#2636C2212yes—
220#2630C2212yes—
221#2630C2212yes—
222#2630C2212yes—
223#2630C2212yes—
224#2625C2212yes—
225#2624C2212yes—
226#2619C2212yes—
227#2618C2211yescharacteristic
228#2618C2211yescharacteristic
229#2618C2211yescharacteristic
230#2611C2212yes—
231#2610C2212yes—
232#2609C2212yes—
233#2609C2212yes—
234#2606C2212yes—
235#2605C2212yes—
236#2603C2212yes—
237#2601C2212yes—
238#2601C2212yes—
239#2601C2212yes—
240#2600C2212yes—
241#2600C2212yes—
242#2597C2212yes—
243#2597C2212yes—
244#2595C2212yes—
245#2593C2212yes—
246#2590C2212yes—
247#2590C2212yes—
248#2590C2212yes—
249#2588C2212yes—
250#2587C2212yes—
251#2586C2212yes—
252#2585C2212yes—
253#2575C2212yes—
254#2574C2212yes—
255#2564C2212yes—
256#2564C2212yes—
257#2563C2212yes—
258#2560C2212yes—
259#2560C2212yes—
260#2558C2212yes—
261#2556C2212yes—
262#2556C2212yes—
263#2556C2212yes—
264#2549C2212yes—
265#2544C2212yes—
266#2544C2212yes—
267#2544C2212yes—
268#2541C2211yescharacteristic
269#2541C2212yes—
270#2541C2212yes—
271#2537C2211yescharacteristic
272#2535C2212yes—
273#2532C2212yes—
274#2526C2212yes—
275#2526C2212yes—
276#2522C2212yes—
277#2520C2212yes—
278#2520C2212yes—
279#2520C2212yes—
280#2520C2212yes—
281#2515C2212yes—
282#2513C2212yes—
283#2509C2212yes—
284#2508C2212yes—
285#2505C2212yes—
286#2490C2212yes—
287#2488C2212yes—
288#2488C2212yes—
289#2487C2212yes—
290#2485C2212yes—
291#2479C2212yes—
292#2479C2212yes—
293#2478C2212yes—
294#2477C2212yes—
295#2476C2212yes—
296#2476C2212yes—
297#2475C2212yes—
298#2471C2212yes—
299#2471C2212yes—
300#2468C2212yes—
301#2468C2212yes—
302#2468C2212yes—
303#2463C2212yes—
304#2461C2212yes—
305#2461C2212yes—
306#2461C2212yes—
307#2461C2212yes—
308#2461C2212yes—
309#2460C2212yes—
310#2459C2212yes—
311#2455C2212yes—
312#2455C2212yes—
313#2452C2212yes—
314#2452C2212yes—
315#2450C2212yes—
316#2450C2212yes—
317#2450C2212yes—
318#2450C2212yes—
319#2449C2212yes—
320#2446C2212yes—
321#2446C2212yes—
322#2445C2212yes—
323#2445C2212yes—
324#2445C2212yes—
325#2445C2212yes—
326#2445C2212yes—
327#2444C2212yes—
328#2444C2212yes—
329#2443C2212yes—
330#2439C2212yes—
331#2438C2212yes—
332#2438C2212yes—
333#2436C2212yes—
334#2434C2212yes—
335#2432C2212yes—
336#2432C2212yes—
337#2431C2212yes—
338#2427C2212yes—
339#2427C2212yes—
340#2425C2212yes—
341#2425C2212yes—
342#2425C2212yes—
343#2425C2212yes—
344#2419C2212yes—
345#2415C2212yes—
346#2413C2212yes—
347#2409C2212yes—
348#2409C2212yes—
349#2409C2212yes—
350#2409C2212yes—
351#2407C2212yes—
352#2402C2212yes—
353#2395C2212yes—
354#2392C2212yes—
355#2379C2211yescharacteristic
356#2377C2212yes—
357#2371C2212yes—
358#2370C2212yes—
359#2369C2212yes—
360#2366C2212yes—
361#2364C2212yes—
362#2359C2212yes—
363#2359C2212yes—
364#2355C2211yescharacteristic
365#2349C2212yes—
366#2339C2212yes—
367#2337C2212yes—
368#2336C2212yes—
369#2331C2212yes—
370#2329C2211yescharacteristic
371#2328C2212yes—
372#2325C2211yescharacteristic
373#2325C2211yescharacteristic
374#2325C2211yescharacteristic
375#2325C2211yescharacteristic
376#2324C2212yes—
377C4×#121C2211yescharacteristic
378C2×#387C2211yescharacteristic
379C22×#41C2312yes—
380C23×Q8C2312yes—
381#563—44no—
382#550—44no—
383#544—44no—
384#536—48no—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#127C2312yes—
390C2×#127C2311yescharacteristic
391C2×#127C2312yes—
392C2×#127C2312yes—
393C2×#127C2312yes—
394#529—44no—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2311yescharacteristic
404C2×#125C2311yescharacteristic
405C2×#125C2311yescharacteristic
406C2×#125C2312yes—
407C2×#124C2311yescharacteristic
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#124C2312yes—
413C2×#124C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2311yescharacteristic
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×#121C2312yes—
448C2×#121C2311yescharacteristic
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2311yescharacteristic
452C2×#121C2311yescharacteristic
453C2×#121C2311yescharacteristic
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2311yescharacteristic
483C22×C42C2311yescharacteristic
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#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
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#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#397C2312yes—
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#397C2312yes—
596#397C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
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#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#392C2312yes—
721#392C2312yes—
722#392C2312yes—
723#392C2312yes—
724#392C2312yes—
725#392C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2311yescharacteristic
746#391C2311yescharacteristic
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2312yes—
753#390C2312yes—
754#390C2312yes—
755#390C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2311yescharacteristic
767#390C2312yes—
768#390C2311yescharacteristic
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2311yescharacteristic
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
776#390C2312yes—
777#390C2312yes—
778#390C2312yes—
779#389C2311yescharacteristic
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2311yescharacteristic
802#389C2311yescharacteristic
803#389C2311yescharacteristic
804#389C2311yescharacteristic
805#389C2311yescharacteristic
806#389C2311yescharacteristic
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
814#389C2312yes—
815#389C2312yes—
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#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
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#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
1025#384C2311yescharacteristic
1026#383C2312yes—
1027#383C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2311yescharacteristic
1032#382C2311yescharacteristic
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2311yescharacteristic
1052#380C2311yescharacteristic
1053#380C2311yescharacteristic
1054#380C2311yescharacteristic
1055#380C2311yescharacteristic
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2311yescharacteristic
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C2×#41—28no—
1104C2×#41—82no—
1105C2×#41—82no—
1106C22×Q8—44no—
1107C22×Q8—82no—
1108C22×Q8—82no—
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2411yescharacteristic
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2411yescharacteristic
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2412yes—
1130C22×D4C2411yescharacteristic
1131C22×D4C2411yescharacteristic
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C23×C4C2411yescharacteristic
1137C23×C4C2411yescharacteristic
1138C23×C4C2411yescharacteristic
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2411yescharacteristic
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2411yescharacteristic
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C4⋊Q8—28no—
1156C4⋊Q8—28no—
1157C4⋊Q8—44no—
1158C4⋊Q8—82no—
1159#127—42no—
1160#127—44no—
1161#127—44no—
1162#127—44no—
1163#127—82no—
1164#126—44no—
1165#126—44no—
1166#126—44no—
1167#126—82no—
1168#126—82no—
1169#126—82no—
1170#125—28no—
1171#125—42no—
1172#125—44no—
1173#125—42no—
1174#125—42no—
1175#125—44no—
1176#124—24no—
1177#124—44no—
1178#124—44no—
1179#124—44no—
1180#124—82no—
1181#124—82no—
1182#124—82no—
1183#123—44no—
1184#123—44no—
1185#123—44no—
1186#123—44no—
1187#123—44no—
1188#123—44no—
1189#123—44no—
1190#123—44no—
1191#123—82no—
1192#123—82no—
1193#123—82no—
1194#123—82no—
1195#123—82no—
1196#123—82no—
1197#123—82no—
1198C22⋊Q8—24no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—42no—
1207C22⋊Q8—82no—
1208C22⋊Q8—82no—
1209C22⋊Q8—82no—
1210C22⋊Q8—82no—
1211C22⋊Q8—82no—
1212C22⋊Q8—82no—
1213C22⋊Q8—82no—
1214C22⋊Q8—82no—
1215C22⋊Q8—82no—
1216#121—24no—
1217#121—28no—
1218#121—42no—
1219#121—44no—
1220#121—44no—
1221#121—44no—
1222#121—42no—
1223#121—42no—
1224#121—82no—
1225#121—82no—
1226#121—82no—
1227#121—82no—
1228#121—82no—
1229C4×Q8—24no—
1230C4×D4—44no—
1231C4×D4—42no—
1232C4×D4—42no—
1233C4×D4—44no—
1234C4×D4—44no—
1235C4×D4—82no—
1236C4×D4—82no—
1237C4×D4—82no—
1238C4×D4—82no—
1239C4×D4—82no—
1240C4×D4—82no—
1241C4×D4—82no—
1242C4×D4—82no—
1243C4×D4—82no—
1244C4×D4—82no—
1245#117—44no—
1246#117—44no—
1247#117—44no—
1248#117—82no—
1249#117—82no—
1250C2×C4⋊C4—42no—
1251C2×C4⋊C4—42no—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C42—42no—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2411yescharacteristic
1434C2×C42C2411yescharacteristic
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2411yescharacteristic
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2411yescharacteristic
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550C24C2512yes—
1551C24C2512yes—
1552C24C2512yes—
1553C24C2512yes—
1554C24C2511yescharacteristic
1555#41—816no—
1556C2×Q8—24no—
1557C2×Q8—24no—
1558C2×Q8—41no—
1559C2×Q8—41no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—42no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—41no—
1571C2×Q8—42no—
1572C2×Q8—41no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—41no—
1576C2×Q8—816no—
1577C2×Q8H(5,𝔽2)14yes—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—22no—
1584C2×D4—24no—
1585C2×D4—24no—
1586C2×D4—24no—
1587C2×D4—24no—
1588C2×D4—24no—
1589C2×D4—22no—
1590C2×D4—24no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—41no—
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—41no—
1605C2×D4—41no—
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—
1615C2×D4—42no—
1616C2×D4—41no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—41no—
1621C2×D4—41no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—41no—
1625C2×D4—41no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C2×D4—41no—
1635C2×D4—41no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C22×C4—22no—
1639C22×C4—22no—
1640C22×C4—22no—
1641C22×C4—24no—
1642C22×C4—22no—
1643C22×C4—24no—
1644C22×C4—24no—
1645C22×C4—22no—
1646C22×C4—24no—
1647C22×C4—41no—
1648C22×C4—41no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—41no—
1652C22×C4—41no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—41no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—41no—
1665C22×C4—41no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—41no—
1674C22×C4—41no—
1675C22×C4—41no—
1676C22×C4—42no—
1677C22×C4—41no—
1678C22×C4—42no—
1679C22×C4—41no—
1680C22×C4—42no—
1681C22×C4—41no—
1682C22×C4—41no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—41no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—41no—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2511yescharacteristic
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2511yescharacteristic
1708C22×C4C2511yescharacteristic
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2512yes—
1713C22×C4C2512yes—
1714C22×C4C2512yes—
1715C22×C4C2512yes—
1716C22×C4C2512yes—
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2511yescharacteristic
1721C22×C4C2512yes—
1722C22×C4C2511yescharacteristic
1723C22×C4C2511yescharacteristic
1724C22×C4C2512yes—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—22no—
1729C4⋊C4—22no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—24no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—24no—
1737C4⋊C4—24no—
1738C4⋊C4—24no—
1739C4⋊C4—24no—
1740C4⋊C4—24no—
1741C4⋊C4—24no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—41no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—41no—
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—41no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—41no—
1772C4⋊C4—41no—
1773C4⋊C4—42no—
1774C4⋊C4—41no—
1775C4⋊C4—42no—
1776C4⋊C4—41no—
1777C4⋊C4—41no—
1778C4⋊C4—41no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—41no—
1786C4⋊C4—41no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—41no—
1809C4⋊C4—41no—
1810C4⋊C4—41no—
1811C4⋊C4—41no—
1812C4⋊C4—42no—
1813C4⋊C42−1+414yes—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—24no—
1821C22⋊C4—24no—
1822C22⋊C4—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—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4—42no—
1864C22⋊C4—42no—
1865C22⋊C4—42no—
1866C22⋊C4—42no—
1867C22⋊C4—42no—
1868C22⋊C4—42no—
1869C22⋊C4—42no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—42no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C42—22no—
1903C42—22no—
1904C42—24no—
1905C42—24no—
1906C42—24no—
1907C42—24no—
1908C42—41no—
1909C42—41no—
1910C42—42no—
1911C42—42no—
1912C42—42no—
1913C42—42no—
1914C42—42no—
1915C42—42no—
1916C42—42no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—42no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—42no—
1926C23—21no—
1927C23—21no—
1928C23—21no—
1929C23—21no—
1930C23—21no—
1931C23—21no—
1932C23—22no—
1933C23—22no—
1934C23—22no—
1935C23—22no—
1936C23—22no—
1937C23—22no—
1938C23—22no—
1939C23—22no—
1940C23—22no—
1941C23—22no—
1942C23—22no—
1943C23—22no—
1944C23—22no—
1945C23—22no—
1946C23—22no—
1947C23—22no—
1948C23—22no—
1949C23—22no—
1950C23—22no—
1951C23—22no—
1952C23—22no—
1953C23—22no—
1954C23—22no—
1955C23—22no—
1956C23—22no—
1957C23—22no—
1958C23—22no—
1959C23—22no—
1960C23#58512yes—
1961C23C2611yescharacteristic
1962Q8—44no—
1963Q8—84no—
1964Q8—84no—
1965Q8—84no—
1966Q8—84no—
1967Q8—161no—
1968Q8—162no—
1969D4—48no—
1970D4—48no—
1971D4—82no—
1972D4—82no—
1973D4—84no—
1974D4—84no—
1975D4—84no—
1976D4—84no—
1977D4—84no—
1978D4—84no—
1979D4—84no—
1980D4—84no—
1981D4—84no—
1982D4—84no—
1983D4—162no—
1984D4—161no—
1985D4—161no—
1986D4—162no—
1987D4—162no—
1988D4—162no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—21no—
1996C2×C4—21no—
1997C2×C4—21no—
1998C2×C4—21no—
1999C2×C4—21no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—21no—
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—21no—
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—21no—
2027C2×C4—22no—
2028C2×C4—21no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—21no—
2049C2×C4—22no—
2050C2×C4—21no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—21no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—21no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—21no—
2074C2×C4—22no—
2075C2×C4—48no—
2076C2×C4—44no—
2077C2×C4—82no—
2078C2×C4—82no—
2079C2×C4—84no—
2080C2×C4—84no—
2081C2×C4—84no—
2082C2×C4—82no—
2083C2×C4—82no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—84no—
2087C2×C4—84no—
2088C2×C4—161no—
2089C2×C4—162no—
2090C2×C4—162no—
2091C2×C4—162no—
2092C2×C4—161no—
2093C2×C4—162no—
2094C2×C4C2×H(5,𝔽2)14yes—
2095C2×C4C2×H(5,𝔽2)12yes—
2096C2×C4C2×2−1+414yes—
2097C2×C4C2×2−1+412yes—
2098C22—22no—
2099C22—22no—
2100C22—22no—
2101C22—41no—
2102C22—41no—
2103C22—41no—
2104C22—41no—
2105C22—42no—
2106C22—42no—
2107C22—42no—
2108C22—42no—
2109C22—42no—
2110C22—42no—
2111C22—42no—
2112C22—42no—
2113C22—42no—
2114C22—42no—
2115C22—42no—
2116C22—42no—
2117C22—42no—
2118C22—42no—
2119C22—42no—
2120C22—42no—
2121C22—42no—
2122C22—42no—
2123C22—42no—
2124C22—42no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22C22×H(5,𝔽2)11yescharacteristic
2134C22C22×2−1+411yescharacteristic
2135C22C2×#58511yescharacteristic
2136C22H(7,𝔽2)11yescharacteristic
2137C22H(7,𝔽2)11yescharacteristic
2138C22H(7,𝔽2)11yescharacteristic
2139C222−1+611yescharacteristic
2140C4—24no—
2141C4—22no—
2142C4—22no—
2143C4—24no—
2144C4—42no—
2145C4—42no—
2146C4—42no—
2147C4—42no—
2148C4—42no—
2149C4—42no—
2150C4—41no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—42no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—41no—
2159C4—42no—
2160C4—42no—
2161C4—42no—
2162C4—41no—
2163C4—41no—
2164C4—42no—
2165C4—42no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C2—42no—
2171C2—82no—
2172C2—82no—
2173C2—82no—
2174C2—82no—
2175C2#6286211yescharacteristic
2176C2#6287011yescharacteristic
2177C2#6291711yescharacteristic
2178C2#6291911yescharacteristic
2179C2#6294811yescharacteristic
2180C2#6297411yescharacteristic
2181C2#6306111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#39138C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58898C2semidirect
2. #58297C2semidirect
3. #57942C2semidirect
4. #57683C2semidirect
5. #56644C2semidirect
6. #56371C2semidirect
7. #56059C2semidirect
8. #55550C2semidirect
9. #55463C2semidirect
10. #55065C2semidirect
11. #54756C2semidirect
12. #53563C2semidirect
13. #53195C2semidirect
14. #52903C2semidirect
15. #52075C2semidirect
16. #51596C2semidirect
17. #50842C2semidirect
18. #50089C2semidirect
19. #48189C2semidirect
20. #47795C2semidirect
21. #47115C2semidirect
22. #46132C2semidirect
23. #44639C2semidirect
24. #44428C2semidirect
25. #43406C2semidirect
26. #42913C2semidirect
27. #42612C2semidirect
28. #42259C2semidirect
29. #41901C2semidirect
30. #41197C2semidirect
31. #39670C2semidirect
33. #37755C2semidirect
34. #37210C2semidirect
35. #36761C2semidirect

Maximal subgroups

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

subgroupindex
#588982
#582972
#579422
#576832
#566442
#563712
#560592
#555502
#554632
#550652
#547562
#535632
#531952
#529032
#520752
#515962
#508422
#500892
#481892
#477952
#471152
#461322
#446392
#444282
#434062
#429132
#426122
#422592
#419012
#411972
#396702
#391382
#377552
#372102
#367612