Finite Group Databasebeta

← #9515176

Subgroups — #9515176

Order 512.

4257 conjugacy classes of subgroups.

The subgroup lattice has 2072 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58697C212yesmaximal, complemented
2#58311C212yesmaximal, complemented
3#57520C212yesmaximal, complemented
4#57315C212yesmaximal, complemented
5#56490C212yesmaximal, complemented
6#55632C212yesmaximal, complemented
7#55232C212yesmaximal, complemented
8#55187C212yesmaximal, complemented
9#55187C212yesmaximal, complemented
10#55085C212yesmaximal, complemented
11#54063C212yesmaximal, complemented
12#53886C212yesmaximal, complemented
13#53216C211yesmaximal, characteristic, complemented
14#52428C212yesmaximal, complemented
15#51646C212yesmaximal, complemented
16#50699C212yesmaximal, complemented
17#48662C212yesmaximal, complemented
18#48275C212yesmaximal, complemented
19#47875C212yesmaximal, complemented
20#46841C212yesmaximal, complemented
21#46835C212yesmaximal, complemented
22#46132C211yesmaximal, characteristic, complemented
23#43496C212yesmaximal, complemented
24#43073C212yesmaximal, complemented
25#43071C212yesmaximal, complemented
26#42956C212yesmaximal, complemented
27#41998C212yesmaximal, complemented
28#40895C212yesmaximal, complemented
29#40619C212yesmaximal, complemented
30#40619C212yesmaximal, complemented
31#39670C211yesmaximal, characteristic, complemented
32#38908C211yesmaximal, characteristic
33#37763C211yesmaximal, characteristic, complemented
34#37166C211yesmaximal, characteristic, complemented
35#36751C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#539C2212yes—
39C2×#539C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2857C2211yescharacteristic
42#2855C2211yescharacteristic
43#2851C2211yescharacteristic
44#2851C2211yescharacteristic
45#2845C2212yes—
46#2845C2212yes—
47#2845C2212yes—
48#2841C2212yes—
49#2841C2212yes—
50#2841C2212yes—
51#2839C2212yes—
52#2839C2212yes—
53#2839C2212yes—
54#2839C2212yes—
55#2839C2212yes—
56#2839C2212yes—
57#2839C2212yes—
58#2839C2212yes—
59#2834C2212yes—
60#2822C2212yes—
61#2822C2211yescharacteristic
62#2822C2211yescharacteristic
63#2822C2212yes—
64#2817C2212yes—
65#2809C2212yes—
66#2809C2211yescharacteristic
67#2806C2212yes—
68#2806C2212yes—
69#2806C2212yes—
70#2805C2211yescharacteristic
71#2805C2211yescharacteristic
72#2802C2212yes—
73#2802C2212yes—
74#2799C2212yes—
75#2799C2212yes—
76#2799C2212yes—
77#2792C2212yes—
78#2792C2212yes—
79#2792C2212yes—
80#2791C2212yes—
81#2782C2212yes—
82#2782C2212yes—
83#2782C2212yes—
84#2780C2212yes—
85#2776C2212yes—
86#2774C2212yes—
87#2774C2212yes—
88#2774C2212yes—
89#2774C2212yes—
90#2771C2212yes—
91#2770C2212yes—
92#2770C2212yes—
93#2770C2212yes—
94#2769C2212yes—
95#2768C2212yes—
96#2768C2212yes—
97#2768C2212yes—
98#2768C2212yes—
99#2768C2212yes—
100#2767C2212yes—
101#2767C2212yes—
102#2766C2212yes—
103#2766C2212yes—
104#2765C2212yes—
105#2765C2212yes—
106#2764C2212yes—
107#2762C2212yes—
108#2762C2212yes—
109#2758C2212yes—
110#2758C2212yes—
111#2758C2212yes—
112#2755C2212yes—
113#2755C2212yes—
114#2755C2212yes—
115#2755C2212yes—
116#2755C2212yes—
117#2750C2212yes—
118#2750C2212yes—
119#2748C2212yes—
120#2747C2212yes—
121#2746C2212yes—
122#2746C2212yes—
123#2744C2212yes—
124#2744C2212yes—
125#2744C2212yes—
126#2744C2212yes—
127#2744C2212yes—
128#2743C2212yes—
129#2743C2212yes—
130#2742C2212yes—
131#2739C2212yes—
132#2739C2212yes—
133#2738C2212yes—
134#2738C2212yes—
135#2738C2212yes—
136#2732C2211yescharacteristic
137#2729C2212yes—
138#2729C2212yes—
139#2729C2212yes—
140#2728C2212yes—
141#2728C2212yes—
142#2726C2212yes—
143#2726C2211yescharacteristic
144#2726C2211yescharacteristic
145#2726C2212yes—
146#2726C2212yes—
147#2726C2211yescharacteristic
148#2724C2211yescharacteristic
149#2722C2212yes—
150#2722C2212yes—
151#2722C2212yes—
152#2722C2212yes—
153#2722C2212yes—
154#2719C2212yes—
155#2719C2212yes—
156#2719C2212yes—
157#2719C2212yes—
158#2719C2212yes—
159#2717C2212yes—
160#2713C2212yes—
161#2713C2212yes—
162#2713C2212yes—
163#2713C2212yes—
164#2708C2212yes—
165#2708C2212yes—
166#2708C2212yes—
167#2708C2212yes—
168#2704C2212yes—
169#2704C2212yes—
170#2704C2212yes—
171#2704C2212yes—
172#2704C2212yes—
173#2704C2212yes—
174#2698C2212yes—
175#2698C2212yes—
176#2698C2212yes—
177#2698C2212yes—
178#2698C2212yes—
179#2698C2212yes—
180#2695C2212yes—
181#2695C2212yes—
182#2695C2212yes—
183#2695C2212yes—
184#2695C2212yes—
185#2695C2212yes—
186#2693C2212yes—
187#2693C2212yes—
188#2693C2212yes—
189#2692C2212yes—
190#2690C2212yes—
191#2690C2212yes—
192#2690C2212yes—
193#2690C2212yes—
194#2689C2212yes—
195#2689C2212yes—
196#2687C2212yes—
197#2687C2212yes—
198#2687C2212yes—
199#2687C2212yes—
200#2677C2212yes—
201#2667C2212yes—
202#2667C2212yes—
203#2667C2212yes—
204#2666C2212yes—
205#2666C2212yes—
206#2666C2212yes—
207#2666C2212yes—
208#2666C2212yes—
209#2666C2212yes—
210#2665C2212yes—
211#2659C2212yes—
212#2659C2212yes—
213#2659C2211yescharacteristic
214#2659C2211yescharacteristic
215#2659C2211yescharacteristic
216#2655C2212yes—
217#2652C2212yes—
218#2652C2212yes—
219#2646C2212yes—
220#2646C2212yes—
221#2646C2211yescharacteristic
222#2646C2211yescharacteristic
223#2633C2212yes—
224#2629C2212yes—
225#2627C2212yes—
226#2627C2211yescharacteristic
227#2627C2212yes—
228#2625C2212yes—
229#2621C2212yes—
230#2600C2212yes—
231#2600C2212yes—
232#2598C2212yes—
233#2590C2212yes—
234#2588C2212yes—
235#2579C2212yes—
236#2578C2212yes—
237#2578C2212yes—
238#2577C2212yes—
239#2574C2212yes—
240#2574C2212yes—
241#2572C2212yes—
242#2569C2212yes—
243#2568C2211yescharacteristic
244#2564C2212yes—
245#2564C2212yes—
246#2556C2212yes—
247#2556C2212yes—
248#2553C2212yes—
249#2553C2212yes—
250#2553C2212yes—
251#2553C2212yes—
252#2553C2212yes—
253#2553C2212yes—
254#2550C2212yes—
255#2550C2212yes—
256#2549C2212yes—
257#2549C2212yes—
258#2549C2212yes—
259#2549C2212yes—
260#2549C2212yes—
261#2538C2211yescharacteristic
262#2535C2212yes—
263#2524C2212yes—
264#2520C2212yes—
265#2517C2212yes—
266#2517C2212yes—
267#2515C2212yes—
268#2515C2212yes—
269#2509C2212yes—
270#2509C2212yes—
271#2508C2212yes—
272#2505C2212yes—
273#2505C2212yes—
274#2505C2212yes—
275#2503C2212yes—
276#2497C2212yes—
277#2496C2212yes—
278#2493C2212yes—
279#2493C2212yes—
280#2489C2212yes—
281#2489C2212yes—
282#2487C2212yes—
283#2487C2212yes—
284#2486C2212yes—
285#2486C2212yes—
286#2486C2212yes—
287#2486C2212yes—
288#2484C2212yes—
289#2478C2212yes—
290#2478C2212yes—
291#2475C2212yes—
292#2473C2212yes—
293#2473C2212yes—
294#2473C2212yes—
295#2473C2212yes—
296#2473C2212yes—
297#2473C2212yes—
298#2473C2212yes—
299#2473C2212yes—
300#2473C2212yes—
301#2473C2212yes—
302#2468C2212yes—
303#2468C2212yes—
304#2463C2212yes—
305#2462C2212yes—
306#2460C2212yes—
307#2460C2212yes—
308#2457C2212yes—
309#2457C2212yes—
310#2450C2212yes—
311#2450C2212yes—
312#2450C2212yes—
313#2450C2212yes—
314#2449C2212yes—
315#2449C2212yes—
316#2449C2212yes—
317#2449C2212yes—
318#2449C2212yes—
319#2449C2212yes—
320#2449C2212yes—
321#2446C2212yes—
322#2442C2212yes—
323#2442C2212yes—
324#2442C2212yes—
325#2442C2212yes—
326#2442C2212yes—
327#2442C2212yes—
328#2442C2212yes—
329#2440C2212yes—
330#2440C2212yes—
331#2438C2212yes—
332#2438C2212yes—
333#2438C2212yes—
334#2438C2212yes—
335#2438C2212yes—
336#2427C2212yes—
337#2419C2212yes—
338#2419C2212yes—
339#2419C2212yes—
340#2419C2212yes—
341#2419C2212yes—
342#2419C2212yes—
343#2417C2212yes—
344#2417C2212yes—
345#2417C2212yes—
346#2417C2212yes—
347#2417C2212yes—
348#2415C2212yes—
349#2407C2212yes—
350#2406C2212yes—
351#2406C2212yes—
352#2392C2212yes—
353C2×#398C2212yes—
354C2×#398C2212yes—
355#2379C2211yescharacteristic
356#2376C2212yes—
357#2374C2212yes—
358#2364C2212yes—
359#2359C2212yes—
360#2352C2212yes—
361#2352C2212yes—
362#2349C2212yes—
363#2349C2212yes—
364D4×C4⋊C4C2211yescharacteristic
365#2339C2212yes—
366#2339C2212yes—
367#2325C2211yescharacteristic
368#2325C2211yescharacteristic
369#2325C2211yescharacteristic
370#2322C2212yes—
371#2322C2212yes—
372#2318C2212yes—
373#2318C2212yes—
374#2316C2211yescharacteristic
375#2313C2211yescharacteristic
376#2311C2212yes—
377C4×#121C2211yescharacteristic
378C2×#387C2211yescharacteristic
379C22×#41C2312yes—
380#563—44no—
381#547—44no—
382#539—44no—
383#539—48no—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387#529—44no—
388C2×#126C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#125C2311yescharacteristic
395C2×#125C2311yescharacteristic
396C2×#125C2311yescharacteristic
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#124C2311yescharacteristic
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2311yescharacteristic
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
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×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2312yes—
464C22×C42C2311yescharacteristic
465#401C2312yes—
466#401C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
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#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#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#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#398C2312yes—
617#398C2312yes—
618#398C2312yes—
619#398C2312yes—
620#398C2312yes—
621#398C2312yes—
622#398C2312yes—
623#398C2312yes—
624#398C2312yes—
625#398C2312yes—
626#398C2312yes—
627#398C2312yes—
628#398C2312yes—
629#398C2312yes—
630#398C2312yes—
631#398C2312yes—
632#397C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#397C2312yes—
645#397C2312yes—
646#397C2312yes—
647#397C2312yes—
648#397C2312yes—
649#397C2312yes—
650#397C2312yes—
651#397C2312yes—
652#397C2312yes—
653#397C2312yes—
654#397C2312yes—
655#397C2312yes—
656#397C2312yes—
657#397C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#396C2312yes—
667#396C2312yes—
668#396C2312yes—
669#396C2312yes—
670#396C2312yes—
671#396C2312yes—
672#396C2312yes—
673#396C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#395C2312yes—
682#395C2312yes—
683#395C2312yes—
684#395C2312yes—
685#395C2312yes—
686#395C2312yes—
687#395C2312yes—
688#395C2312yes—
689#395C2312yes—
690#395C2312yes—
691#395C2312yes—
692#395C2312yes—
693#395C2312yes—
694#395C2312yes—
695#395C2312yes—
696#395C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#392C2312yes—
712#392C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2311yescharacteristic
725#391C2311yescharacteristic
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#390C2311yescharacteristic
739#390C2312yes—
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#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2311yescharacteristic
762#389C2311yescharacteristic
763#389C2311yescharacteristic
764#389C2312yes—
765#389C2311yescharacteristic
766#389C2311yescharacteristic
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2311yescharacteristic
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#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
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#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#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#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#385C2312yes—
932#385C2312yes—
933#385C2312yes—
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#384C2311yescharacteristic
989#384C2312yes—
990#383C2312yes—
991#383C2312yes—
992#383C2312yes—
993#383C2312yes—
994#383C2312yes—
995#383C2312yes—
996#382C2312yes—
997#382C2311yescharacteristic
998#382C2311yescharacteristic
999#382C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#382C2312yes—
1003#382C2312yes—
1004#382C2312yes—
1005#382C2312yes—
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#381C2312yes—
1014#381C2312yes—
1015#381C2312yes—
1016#381C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2311yescharacteristic
1037#380C2311yescharacteristic
1038#380C2312yes—
1039#380C2312yes—
1040#380C2311yescharacteristic
1041#380C2311yescharacteristic
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2311yescharacteristic
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2311yescharacteristic
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2312yes—
1096C2×#95C2311yescharacteristic
1097C2×#95C2311yescharacteristic
1098C2×#95C2311yescharacteristic
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2311yescharacteristic
1103C2×#41—28no—
1104C2×#41—44no—
1105C2×#41—82no—
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2412yes—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2411yescharacteristic
1117C22×D4C2411yescharacteristic
1118C23×C4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2411yescharacteristic
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2411yescharacteristic
1130C23×C4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2411yescharacteristic
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C23×C4C2411yescharacteristic
1139C4⋊Q8—42no—
1140C4⋊Q8—44no—
1141C4⋊Q8—82no—
1142#126—44no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#125—42no—
1149#125—42no—
1150#125—42no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—82no—
1155#125—82no—
1156#125—82no—
1157#125—82no—
1158#125—82no—
1159#125—82no—
1160#124—24no—
1161#123—28no—
1162#123—28no—
1163#123—28no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—42no—
1177C22⋊Q8—44no—
1178C22⋊Q8—42no—
1179C22⋊Q8—82no—
1180C22⋊Q8—82no—
1181C22⋊Q8—82no—
1182C22⋊Q8—82no—
1183C22⋊Q8—82no—
1184C22⋊Q8—82no—
1185C22⋊Q8—82no—
1186C22⋊Q8—82no—
1187C22⋊Q8—82no—
1188#121—24no—
1189#121—28no—
1190#121—24no—
1191C4×Q8—42no—
1192C4×D4—24no—
1193C4×D4—28no—
1194C4×D4—28no—
1195C4×D4—42no—
1196C4×D4—44no—
1197C4×D4—44no—
1198C4×D4—44no—
1199C4×D4—44no—
1200C4×D4—82no—
1201C4×D4—82no—
1202C4×D4—82no—
1203C4×D4—82no—
1204C4×D4—82no—
1205#117—44no—
1206#117—82no—
1207#117—82no—
1208C2×C4⋊C4—24no—
1209C2×C4⋊C4—42no—
1210C2×C4⋊C4—44no—
1211C2×C4⋊C4—44no—
1212C2×C4⋊C4—82no—
1213C2×C4⋊C4—82no—
1214C2×C4⋊C4—82no—
1215C2×C4⋊C4—82no—
1216C2×C4⋊C4—82no—
1217C2×C4⋊C4—82no—
1218C2×C4⋊C4C2411yescharacteristic
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2411yescharacteristic
1228C2×C4⋊C4C2411yescharacteristic
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2411yescharacteristic
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊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⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊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×C42—42no—
1383C2×C42C2411yescharacteristic
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2411yescharacteristic
1387C2×C42C2411yescharacteristic
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2411yescharacteristic
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405#95C2412yes—
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#95C2412yes—
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#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—
1529C24C2512yes—
1530C24C2511yescharacteristic
1531C24C2512yes—
1532#41—816no—
1533C2×Q8—22no—
1534C2×Q8—24no—
1535C2×Q8—42no—
1536C2×Q8—41no—
1537C2×Q8—42no—
1538C2×Q8—41no—
1539C2×Q8—41no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—41no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—42no—
1550C2×Q8—41no—
1551C2×D4—24no—
1552C2×D4—24no—
1553C2×D4—24no—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—41no—
1560C2×D4—41no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—41no—
1565C2×D4—42no—
1566C2×D4—41no—
1567C2×D4H(5,𝔽2)14yes—
1568C2×D42−1+414yes—
1569C22×C4—24no—
1570C22×C4—24no—
1571C22×C4—24no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—24no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—22no—
1579C22×C4—24no—
1580C22×C4—24no—
1581C22×C4—24no—
1582C22×C4—22no—
1583C22×C4—42no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—41no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—41no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—41no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—41no—
1610C22×C4—41no—
1611C22×C4—41no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—41no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—41no—
1623C22×C4—41no—
1624C22×C4—42no—
1625C22×C4—41no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—41no—
1630C22×C4—41no—
1631C22×C42−1+414yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2511yescharacteristic
1639C22×C4C2511yescharacteristic
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2511yescharacteristic
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2511yescharacteristic
1660C22×C4C2512yes—
1661C22×C4C2511yescharacteristic
1662C22×C4C2512yes—
1663C22×C4C2511yescharacteristic
1664C4⋊C4—22no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—22no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—22no—
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—41no—
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—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—41no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—41no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—41no—
1719C4⋊C4—41no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—41no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—41no—
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—41no—
1740C4⋊C4—41no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—41no—
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—41no—
1764C4⋊C4—41no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—41no—
1769C4⋊C4—41no—
1770C4⋊C4—41no—
1771C4⋊C4—42no—
1772C4⋊C4—41no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—41no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
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—42no—
1810C22⋊C4—42no—
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—
1828C42—22no—
1829C42—22no—
1830C42—24no—
1831C42—24no—
1832C42—41no—
1833C42—41no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C23—21no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—21no—
1856C23—21no—
1857C23—22no—
1858C23—21no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—21no—
1865C23—22no—
1866C23—22no—
1867C23—21no—
1868C23C2×H(5,𝔽2)14yes—
1869C23C2×2−1+414yes—
1870C23C2×2−1+412yes—
1871C23C2611yescharacteristic
1872Q8—82no—
1873Q8—84no—
1874Q8—161no—
1875Q8—162no—
1876Q8—162no—
1877Q8—162no—
1878D4—44no—
1879D4—44no—
1880D4—48no—
1881D4—48no—
1882D4—48no—
1883D4—48no—
1884C2×C4—21no—
1885C2×C4—22no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—22no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—21no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
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—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—21no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—21no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—21no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—21no—
1972C2×C4—21no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—44no—
1978C2×C4—48no—
1979C2×C4—84no—
1980C2×C4—84no—
1981C2×C4—82no—
1982C2×C4—84no—
1983C2×C4—82no—
1984C2×C4—84no—
1985C2×C4—84no—
1986C2×C4—84no—
1987C2×C4—82no—
1988C2×C4—82no—
1989C2×C4—84no—
1990C2×C4—84no—
1991C2×C4—84no—
1992C2×C4—84no—
1993C2×C4—162no—
1994C2×C4—161no—
1995C2×C4—162no—
1996C2×C4—162no—
1997C2×C4—161no—
1998C2×C4C2×H(5,𝔽2)12yes—
1999C2×C4C2×2−1+414yes—
2000C2×C4C2×2−1+412yes—
2001C22—24no—
2002C22—22no—
2003C22—24no—
2004C22—24no—
2005C22—24no—
2006C22—22no—
2007C22—24no—
2008C22—22no—
2009C22—24no—
2010C22—41no—
2011C22—42no—
2012C22—42no—
2013C22—42no—
2014C22—41no—
2015C22—42no—
2016C22—41no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—41no—
2022C22C22×H(5,𝔽2)11yescharacteristic
2023C22C22×2−1+411yescharacteristic
2024C22C22×2−1+411yescharacteristic
2025C22H(7,𝔽2)11yescharacteristic
2026C22H(7,𝔽2)11yescharacteristic
2027C222−1+611yescharacteristic
2028C222−1+611yescharacteristic
2029C4—24no—
2030C4—22no—
2031C4—22no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—41no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—41no—
2044C4—42no—
2045C4—42no—
2046C4—42no—
2047C4—42no—
2048C4—42no—
2049C4—41no—
2050C4—41no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C2—44no—
2062C2—42no—
2063C2—44no—
2064C2#6286511yescharacteristic
2065C2#6286611yescharacteristic
2066C2#6289411yescharacteristic
2067C2#6291511yescharacteristic
2068C2#6294511yescharacteristic
2069C2#6297411yescharacteristic
2070C2#6306711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#38908C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58697C2semidirect
2. #58311C2semidirect
3. #57520C2semidirect
4. #57315C2semidirect
5. #56490C2semidirect
6. #55632C2semidirect
7. #55232C2semidirect
8. #55187C2semidirect
9. #55187C2semidirect
10. #55085C2semidirect
11. #54063C2semidirect
12. #53886C2semidirect
13. #53216C2semidirect
14. #52428C2semidirect
15. #51646C2semidirect
16. #50699C2semidirect
17. #48662C2semidirect
18. #48275C2semidirect
19. #47875C2semidirect
20. #46841C2semidirect
21. #46835C2semidirect
22. #46132C2semidirect
23. #43496C2semidirect
24. #43073C2semidirect
25. #43071C2semidirect
26. #42956C2semidirect
27. #41998C2semidirect
28. #40895C2semidirect
29. #40619C2semidirect
30. #40619C2semidirect
31. #39670C2semidirect
33. #37763C2semidirect
34. #37166C2semidirect
35. #36751C2semidirect

Maximal subgroups

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

subgroupindex
#586972
#583112
#575202
#573152
#564902
#556322
#552322
#551872
#550852
#540632
#538862
#532162
#524282
#516462
#506992
#486622
#482752
#478752
#468412
#468352
#461322
#434962
#430732
#430712
#429562
#419982
#408952
#406192
#396702
#389082
#377632
#371662
#367512