Finite Group Databasebeta

← #8889082

Subgroups — #8889082

Order 512.

4757 conjugacy classes of subgroups.

The subgroup lattice has 2203 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58901C212yesmaximal, complemented
2#58104C212yesmaximal, complemented
3#57022C212yesmaximal, complemented
4#56388C212yesmaximal, complemented
5#54448C212yesmaximal, complemented
6#53627C212yesmaximal, complemented
7#53474C212yesmaximal, complemented
8#53320C212yesmaximal, complemented
9#50682C212yesmaximal, complemented
10#50017C212yesmaximal, complemented
11#49718C212yesmaximal, complemented
12#49548C212yesmaximal, complemented
13#48822C212yesmaximal, complemented
14#48752C212yesmaximal, complemented
15#48647C212yesmaximal, complemented
16#48288C212yesmaximal, complemented
17#47935C212yesmaximal, complemented
18#47799C211yesmaximal, characteristic, complemented
19#47544C211yesmaximal, characteristic, complemented
20#47302C212yesmaximal, complemented
21#47129C212yesmaximal, complemented
22#46751C212yesmaximal, complemented
23#46536C212yesmaximal, complemented
24#46322C211yesmaximal, characteristic, complemented
25#46119C212yesmaximal, complemented
26#45387C211yesmaximal, characteristic, complemented
27#45141C211yesmaximal, characteristic, complemented
28#41339C212yesmaximal, complemented
29#41196C212yesmaximal, complemented
30#38369C212yesmaximal, complemented
31#37756C212yesmaximal, complemented
32#37208C211yesmaximal, characteristic, complemented
33#36800C212yesmaximal, complemented
34#36125C211yesmaximal, characteristic, complemented
35#35067C212yesmaximal, complemented
36C2×#562C2212yes—
37C2×#559C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic
40C2×#547C2211yescharacteristic
41C2×#547C2212yes—
42C2×#544C2212yes—
43C2×#532C2212yes—
44#2866C2212yes—
45#2863C2212yes—
46#2858C2211yescharacteristic
47#2853C2212yes—
48#2851C2212yes—
49#2850C2212yes—
50#2838C2212yes—
51#2836C2212yes—
52#2833C2211yescharacteristic
53#2830C2211yescharacteristic
54#2828C2212yes—
55#2828C2211yescharacteristic
56#2827C2212yes—
57#2825C2212yes—
58#2825C2212yes—
59#2824C2212yes—
60#2824C2212yes—
61#2824C2212yes—
62#2822C2211yescharacteristic
63#2811C2211yescharacteristic
64#2808C2212yes—
65#2804C2212yes—
66#2803C2212yes—
67#2803C2212yes—
68#2797C2212yes—
69#2797C2212yes—
70#2796C2212yes—
71#2795C2212yes—
72#2793C2212yes—
73#2789C2212yes—
74#2789C2211yescharacteristic
75#2788C2212yes—
76#2787C2212yes—
77#2786C2212yes—
78#2785C2211yescharacteristic
79#2782C2212yes—
80#2780C2212yes—
81#2778C2212yes—
82#2778C2212yes—
83#2778C2212yes—
84#2778C2212yes—
85#2776C2212yes—
86#2775C2212yes—
87#2775C2212yes—
88#2772C2212yes—
89#2769C2211yescharacteristic
90#2769C2211yescharacteristic
91#2766C2212yes—
92#2762C2212yes—
93#2759C2212yes—
94#2759C2212yes—
95#2759C2212yes—
96#2757C2212yes—
97#2757C2212yes—
98#2756C2212yes—
99#2754C2212yes—
100#2751C2212yes—
101#2751C2212yes—
102#2751C2212yes—
103#2750C2212yes—
104#2749C2212yes—
105#2749C2212yes—
106#2749C2212yes—
107#2746C2212yes—
108#2745C2212yes—
109#2741C2212yes—
110#2740C2212yes—
111#2738C2212yes—
112#2737C2212yes—
113#2737C2212yes—
114#2734C2211yescharacteristic
115#2734C2212yes—
116#2734C2211yescharacteristic
117#2731C2212yes—
118#2731C2211yescharacteristic
119#2731C2211yescharacteristic
120#2730C2212yes—
121#2730C2212yes—
122#2730C2212yes—
123#2729C2212yes—
124#2728C2212yes—
125#2728C2211yescharacteristic
126#2724C2212yes—
127#2723C2212yes—
128#2720C2212yes—
129#2720C2212yes—
130#2719C2212yes—
131#2717C2212yes—
132#2717C2212yes—
133#2715C2212yes—
134#2714C2212yes—
135#2713C2212yes—
136#2713C2212yes—
137#2712C2212yes—
138#2712C2212yes—
139#2712C2212yes—
140#2711C2212yes—
141#2711C2212yes—
142#2711C2212yes—
143#2710C2212yes—
144#2710C2212yes—
145#2709C2212yes—
146#2709C2212yes—
147#2709C2212yes—
148#2709C2212yes—
149#2708C2212yes—
150#2708C2212yes—
151#2708C2212yes—
152#2707C2212yes—
153#2707C2212yes—
154#2701C2212yes—
155#2701C2212yes—
156#2700C2212yes—
157#2700C2212yes—
158#2696C2212yes—
159#2696C2212yes—
160#2696C2212yes—
161#2694C2212yes—
162#2692C2212yes—
163#2692C2212yes—
164#2690C2212yes—
165#2688C2212yes—
166#2688C2212yes—
167#2687C2212yes—
168#2686C2212yes—
169#2686C2212yes—
170#2686C2212yes—
171#2686C2212yes—
172#2682C2212yes—
173#2681C2212yes—
174#2681C2212yes—
175#2680C2212yes—
176#2680C2212yes—
177#2680C2212yes—
178#2677C2212yes—
179#2676C2212yes—
180#2676C2212yes—
181#2676C2212yes—
182#2676C2212yes—
183#2676C2212yes—
184#2674C2212yes—
185#2674C2212yes—
186#2673C2212yes—
187#2673C2212yes—
188#2673C2212yes—
189#2673C2212yes—
190#2673C2212yes—
191#2673C2212yes—
192#2673C2212yes—
193#2672C2212yes—
194#2672C2212yes—
195#2672C2212yes—
196#2671C2212yes—
197#2671C2212yes—
198#2655C2212yes—
199#2654C2212yes—
200#2653C2212yes—
201#2653C2212yes—
202#2653C2212yes—
203#2653C2212yes—
204#2652C2212yes—
205#2648C2212yes—
206#2641C2212yes—
207#2638C2212yes—
208#2638C2212yes—
209#2638C2212yes—
210#2638C2212yes—
211#2635C2212yes—
212#2631C2212yes—
213#2630C2212yes—
214#2630C2212yes—
215#2623C2212yes—
216#2619C2212yes—
217#2616C2212yes—
218#2611C2212yes—
219#2610C2212yes—
220#2609C2211yescharacteristic
221#2605C2212yes—
222#2602C2212yes—
223#2602C2212yes—
224#2602C2212yes—
225#2600C2212yes—
226#2598C2212yes—
227#2597C2212yes—
228#2590C2212yes—
229#2590C2212yes—
230#2589C2212yes—
231#2589C2212yes—
232#2586C2211yescharacteristic
233#2581C2211yescharacteristic
234#2579C2212yes—
235#2579C2212yes—
236#2578C2212yes—
237#2577C2212yes—
238#2576C2212yes—
239#2564C2212yes—
240#2564C2212yes—
241#2560C2212yes—
242#2559C2212yes—
243#2557C2212yes—
244#2557C2212yes—
245#2549C2212yes—
246#2546C2211yescharacteristic
247#2544C2212yes—
248#2543C2212yes—
249#2541C2211yescharacteristic
250#2536C2211yescharacteristic
251#2536C2211yescharacteristic
252#2536C2211yescharacteristic
253#2535C2212yes—
254#2533C2212yes—
255#2528C2212yes—
256#2527C2212yes—
257#2527C2212yes—
258#2527C2212yes—
259#2518C2212yes—
260#2517C2212yes—
261#2510C2212yes—
262#2510C2212yes—
263#2510C2212yes—
264#2510C2212yes—
265#2502C2212yes—
266#2493C2212yes—
267#2491C2212yes—
268#2490C2212yes—
269#2488C2212yes—
270#2481C2212yes—
271#2477C2212yes—
272#2476C2212yes—
273#2476C2212yes—
274#2476C2212yes—
275#2475C2212yes—
276#2473C2212yes—
277#2473C2212yes—
278#2473C2212yes—
279#2473C2212yes—
280#2471C2212yes—
281#2470C2212yes—
282#2470C2212yes—
283#2465C2212yes—
284#2465C2212yes—
285#2464C2212yes—
286#2464C2212yes—
287#2464C2212yes—
288#2464C2212yes—
289#2464C2212yes—
290#2463C2212yes—
291#2463C2212yes—
292#2462C2212yes—
293#2461C2212yes—
294#2461C2212yes—
295#2460C2212yes—
296#2460C2212yes—
297#2460C2212yes—
298#2460C2212yes—
299#2459C2212yes—
300#2458C2212yes—
301#2457C2212yes—
302#2454C2212yes—
303#2453C2212yes—
304#2452C2212yes—
305#2450C2212yes—
306#2450C2212yes—
307#2450C2212yes—
308#2450C2212yes—
309#2449C2212yes—
310#2449C2212yes—
311#2447C2212yes—
312#2444C2212yes—
313#2444C2212yes—
314#2444C2212yes—
315#2443C2212yes—
316#2443C2212yes—
317#2443C2212yes—
318#2443C2212yes—
319#2443C2212yes—
320#2440C2212yes—
321#2440C2212yes—
322#2438C2212yes—
323#2432C2212yes—
324#2432C2212yes—
325#2432C2212yes—
326#2431C2212yes—
327#2430C2212yes—
328#2430C2212yes—
329#2430C2212yes—
330#2429C2212yes—
331#2428C2212yes—
332#2428C2212yes—
333#2427C2212yes—
334#2425C2212yes—
335#2425C2212yes—
336#2425C2212yes—
337#2422C2212yes—
338#2420C2212yes—
339#2419C2212yes—
340#2419C2212yes—
341#2417C2212yes—
342#2416C2212yes—
343#2416C2212yes—
344#2415C2212yes—
345#2414C2212yes—
346#2407C2212yes—
347#2407C2212yes—
348#2407C2212yes—
349#2406C2212yes—
350#2406C2212yes—
351#2398C2211yescharacteristic
352#2397C2211yescharacteristic
353#2383C2212yes—
354#2378C2212yes—
355#2378C2212yes—
356#2363C2212yes—
357#2361C2212yes—
358#2361C2212yes—
359#2361C2212yes—
360#2339C2212yes—
361#2337C2212yes—
362#2333C2212yes—
363#2331C2212yes—
364#2329C2212yes—
365#2328C2211yescharacteristic
366#2328C2211yescharacteristic
367#2327C2211yescharacteristic
368#2327C2211yescharacteristic
369#2325C2212yes—
370#2325C2212yes—
371#2322C2212yes—
372#2322C2212yes—
373#2322C2212yes—
374#2314C2212yes—
375C4×#124C2211yescharacteristic
376#2290C2212yes—
377C2×#387C2212yes—
378C42×D4C2211yescharacteristic
379C22×#41C2312yes—
380C22×#41C2312yes—
381C22×#41C2312yes—
382#562—48no—
383#559—44no—
384#550—44no—
385#550—44no—
386#547—44no—
387#547—48no—
388#544—48no—
389#532—48no—
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2311yescharacteristic
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×#127C2311yescharacteristic
397C2×#127C2311yescharacteristic
398C2×#127C2311yescharacteristic
399C2×#127C2312yes—
400C2×#127C2312yes—
401C2×#126C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#124C2311yescharacteristic
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#124C2312yes—
412C2×#124C2312yes—
413C2×#124C2312yes—
414C2×#124C2312yes—
415C2×#124C2312yes—
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×#123C2312yes—
430C2×#123C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
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×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2312yes—
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2312yes—
499C22×C42C2312yes—
500#401C2312yes—
501#401C2312yes—
502#401C2312yes—
503#401C2312yes—
504#401C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2311yescharacteristic
516#400C2312yes—
517#400C2311yescharacteristic
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2311yescharacteristic
542#398C2311yescharacteristic
543#398C2312yes—
544#398C2311yescharacteristic
545#398C2312yes—
546#398C2312yes—
547#398C2311yescharacteristic
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2311yescharacteristic
555#398C2311yescharacteristic
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
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#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
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#395C2312yes—
623#395C2312yes—
624#395C2311yescharacteristic
625#395C2311yescharacteristic
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2311yescharacteristic
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2311yescharacteristic
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#393C2312yes—
695#393C2312yes—
696#393C2312yes—
697#393C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
718#392C2312yes—
719#392C2312yes—
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#392C2312yes—
733#392C2312yes—
734#391C2312yes—
735#391C2311yescharacteristic
736#391C2312yes—
737#391C2311yescharacteristic
738#391C2311yescharacteristic
739#391C2311yescharacteristic
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2311yescharacteristic
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#390C2312yes—
757#390C2311yescharacteristic
758#390C2312yes—
759#390C2312yes—
760#390C2312yes—
761#390C2312yes—
762#390C2312yes—
763#390C2312yes—
764#390C2312yes—
765#390C2312yes—
766#390C2312yes—
767#390C2312yes—
768#390C2312yes—
769#390C2312yes—
770#390C2312yes—
771#390C2312yes—
772#390C2312yes—
773#390C2312yes—
774#390C2312yes—
775#390C2312yes—
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#389C2312yes—
796#389C2312yes—
797#389C2312yes—
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#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
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#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#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#386C2312yes—
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#385C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#384C2312yes—
1037#384C2312yes—
1038#383C2312yes—
1039#383C2312yes—
1040#383C2312yes—
1041#383C2312yes—
1042#383C2312yes—
1043#382C2311yescharacteristic
1044#382C2312yes—
1045#382C2311yescharacteristic
1046#382C2311yescharacteristic
1047#382C2311yescharacteristic
1048#382C2312yes—
1049#382C2311yescharacteristic
1050#381C2312yes—
1051#381C2312yes—
1052#381C2312yes—
1053#381C2312yes—
1054#381C2312yes—
1055#381C2312yes—
1056#381C2312yes—
1057#381C2312yes—
1058#381C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2312yes—
1075#380C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
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—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097#376C2311yescharacteristic
1098#376C2311yescharacteristic
1099#376C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#95C2312yes—
1104C2×#95C2312yes—
1105C43C2311yescharacteristic
1106C2×#41—28no—
1107C2×#41—44no—
1108C2×#41—44no—
1109C2×#41—44no—
1110C2×#41—44no—
1111C2×#41—44no—
1112C2×#41—82no—
1113C2×#41—82no—
1114C2×#41—82no—
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2412yes—
1118C22×Q8C2411yescharacteristic
1119C22×Q8C2412yes—
1120C22×Q8C2412yes—
1121C22×Q8C2412yes—
1122C22×Q8C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2411yescharacteristic
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2411yescharacteristic
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2411yescharacteristic
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2412yes—
1140C22×D4C2412yes—
1141C22×D4C2412yes—
1142C22×D4C2411yescharacteristic
1143C22×D4C2412yes—
1144C22×D4C2412yes—
1145C22×D4C2412yes—
1146C22×D4C2412yes—
1147C22×D4C2411yescharacteristic
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158C23×C4C2412yes—
1159C23×C4C2412yes—
1160C23×C4C2412yes—
1161C23×C4C2412yes—
1162C23×C4C2412yes—
1163C23×C4C2412yes—
1164C23×C4C2412yes—
1165C23×C4C2412yes—
1166C23×C4C2412yes—
1167C4⋊Q8—28no—
1168C4⋊Q8—24no—
1169C4⋊Q8—24no—
1170C4⋊Q8—42no—
1171C4⋊Q8—44no—
1172C4⋊Q8—44no—
1173#127—24no—
1174#127—24no—
1175#127—44no—
1176#127—42no—
1177#127—44no—
1178#126—44no—
1179#125—44no—
1180#125—44no—
1181#125—44no—
1182#125—44no—
1183#125—44no—
1184#124—24no—
1185#124—44no—
1186#124—44no—
1187#124—44no—
1188#124—44no—
1189#124—44no—
1190#124—44no—
1191#124—82no—
1192#124—82no—
1193#123—28no—
1194#123—44no—
1195#123—44no—
1196#123—44no—
1197#123—44no—
1198#123—44no—
1199#123—44no—
1200#123—44no—
1201#123—44no—
1202#123—44no—
1203#123—44no—
1204#123—44no—
1205#123—44no—
1206#123—82no—
1207#123—82no—
1208C22⋊Q8—28no—
1209C22⋊Q8—44no—
1210C22⋊Q8—44no—
1211C22⋊Q8—44no—
1212C22⋊Q8—44no—
1213C22⋊Q8—44no—
1214C22⋊Q8—44no—
1215C22⋊Q8—44no—
1216C22⋊Q8—44no—
1217C22⋊Q8—44no—
1218C22⋊Q8—44no—
1219C22⋊Q8—44no—
1220C22⋊Q8—82no—
1221C22⋊Q8—82no—
1222C22⋊Q8—82no—
1223C22⋊Q8—82no—
1224#121—28no—
1225#121—28no—
1226#121—44no—
1227#121—44no—
1228#121—44no—
1229#121—44no—
1230#121—44no—
1231#121—44no—
1232#121—44no—
1233#121—44no—
1234#121—44no—
1235#121—44no—
1236#121—44no—
1237#121—44no—
1238#121—44no—
1239#121—44no—
1240#121—44no—
1241#121—44no—
1242#121—44no—
1243#121—44no—
1244#121—82no—
1245C4×Q8—42no—
1246C4×Q8—42no—
1247C4×Q8—42no—
1248C4×Q8—42no—
1249C4×D4—24no—
1250C4×D4—42no—
1251C4×D4—44no—
1252C4×D4—42no—
1253C4×D4—42no—
1254C4×D4—44no—
1255C4×D4—42no—
1256C4×D4—44no—
1257C4×D4—44no—
1258C4×D4—44no—
1259C4×D4—44no—
1260C4×D4—44no—
1261C4×D4—44no—
1262C4×D4—44no—
1263C4×D4—44no—
1264C4×D4—44no—
1265C4×D4—82no—
1266C4×D4—82no—
1267C4×D4—82no—
1268#117—44no—
1269#117—44no—
1270#117—44no—
1271C2×C4⋊C4—44no—
1272C2×C4⋊C4—44no—
1273C2×C4⋊C4—44no—
1274C2×C4⋊C4—44no—
1275C2×C4⋊C4—44no—
1276C2×C4⋊C4C2411yescharacteristic
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2411yescharacteristic
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊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×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C42—44no—
1443C2×C42C2411yescharacteristic
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2411yescharacteristic
1447C2×C42C2411yescharacteristic
1448C2×C42C2411yescharacteristic
1449C2×C42C2411yescharacteristic
1450C2×C42C2411yescharacteristic
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2411yescharacteristic
1455C2×C42C2411yescharacteristic
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2411yescharacteristic
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
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#95C2411yescharacteristic
1499#95C2411yescharacteristic
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—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2411yescharacteristic
1555#95C2411yescharacteristic
1556#95C2411yescharacteristic
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2411yescharacteristic
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568C24C2512yes—
1569C24C2512yes—
1570C24C2512yes—
1571C24C2512yes—
1572C24C2512yes—
1573#41—816no—
1574#41—816no—
1575#41—816no—
1576C2×Q8—22no—
1577C2×Q8—22no—
1578C2×Q8—24no—
1579C2×Q8—41no—
1580C2×Q8—41no—
1581C2×Q8—41no—
1582C2×Q8—41no—
1583C2×Q8—41no—
1584C2×Q8—41no—
1585C2×Q8—42no—
1586C2×Q8—41no—
1587C2×Q8—42no—
1588C2×Q8—42no—
1589C2×Q8—42no—
1590C2×Q8—42no—
1591C2×Q8—42no—
1592C2×Q8—42no—
1593C2×Q8—42no—
1594C2×Q8—42no—
1595C2×Q8—42no—
1596C2×Q8—42no—
1597C2×Q8—42no—
1598C2×Q8H(5,𝔽2)14yes—
1599C2×D4—24no—
1600C2×D4—24no—
1601C2×D4—24no—
1602C2×D4—24no—
1603C2×D4—24no—
1604C2×D4—24no—
1605C2×D4—24no—
1606C2×D4—24no—
1607C2×D4—24no—
1608C2×D4—24no—
1609C2×D4—22no—
1610C2×D4—22no—
1611C2×D4—22no—
1612C2×D4—24no—
1613C2×D4—24no—
1614C2×D4—24no—
1615C2×D4—42no—
1616C2×D4—41no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—41no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
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—42no—
1635C2×D4—42no—
1636C2×D4—42no—
1637C2×D4—42no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—42no—
1641C2×D4—42no—
1642C2×D4—42no—
1643C2×D4—42no—
1644C2×D4—42no—
1645C2×D4—42no—
1646C2×D4—42no—
1647C2×D4—42no—
1648C2×D4—42no—
1649C2×D4—42no—
1650C2×D4—42no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—42no—
1655C2×D4—42no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4H(5,𝔽2)14yes—
1670C22×C4—24no—
1671C22×C4—24no—
1672C22×C4—24no—
1673C22×C4—24no—
1674C22×C4—24no—
1675C22×C4—24no—
1676C22×C4—24no—
1677C22×C4—24no—
1678C22×C4—24no—
1679C22×C4—24no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4C2511yescharacteristic
1728C22×C4C2511yescharacteristic
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2511yescharacteristic
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2511yescharacteristic
1753C22×C4C2511yescharacteristic
1754C22×C4C2511yescharacteristic
1755C22×C4C2511yescharacteristic
1756C22×C4C2512yes—
1757C4⋊C4—22no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—24no—
1769C4⋊C4—24no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—41no—
1798C4⋊C4—41no—
1799C4⋊C4—41no—
1800C4⋊C4—41no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—41no—
1805C4⋊C4—41no—
1806C4⋊C4—41no—
1807C4⋊C4—41no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—41no—
1830C4⋊C4—41no—
1831C4⋊C4—42no—
1832C22⋊C4—24no—
1833C22⋊C4—24no—
1834C22⋊C4—24no—
1835C22⋊C4—24no—
1836C22⋊C4—24no—
1837C22⋊C4—24no—
1838C22⋊C4—24no—
1839C22⋊C4—24no—
1840C22⋊C4—24no—
1841C22⋊C4—24no—
1842C22⋊C4—24no—
1843C22⋊C4—24no—
1844C22⋊C4—24no—
1845C22⋊C4—24no—
1846C22⋊C4—24no—
1847C22⋊C4—24no—
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—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C42—22no—
1924C42—24no—
1925C42—22no—
1926C42—22no—
1927C42—22no—
1928C42—22no—
1929C42—22no—
1930C42—24no—
1931C42—42no—
1932C42—42no—
1933C42—42no—
1934C42—42no—
1935C42—42no—
1936C42—42no—
1937C42—42no—
1938C42—42no—
1939C42—42no—
1940C42—42no—
1941C42—42no—
1942C42—41no—
1943C42—41no—
1944C42—42no—
1945C42—42no—
1946C42—41no—
1947C42—42no—
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—22no—
1961C23—22no—
1962C23—22no—
1963C23—22no—
1964C23—22no—
1965C23—22no—
1966C23—22no—
1967C23—22no—
1968C23—22no—
1969C23—22no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—22no—
1974C23—22no—
1975C23—22no—
1976C23—22no—
1977C23—22no—
1978C23—22no—
1979C23—22no—
1980C23—22no—
1981C23—22no—
1982C23C2×H(5,𝔽2)14yes—
1983C23C2611yescharacteristic
1984Q8—44no—
1985Q8—44no—
1986Q8—82no—
1987Q8—84no—
1988Q8—82no—
1989Q8—162no—
1990Q8—162no—
1991Q8—162no—
1992D4—44no—
1993D4—48no—
1994D4—48no—
1995D4—44no—
1996D4—82no—
1997D4—82no—
1998D4—84no—
1999D4—84no—
2000D4—84no—
2001D4—84no—
2002D4—84no—
2003D4—84no—
2004D4—84no—
2005D4—84no—
2006D4—84no—
2007D4—82no—
2008D4—84no—
2009D4—84no—
2010D4—84no—
2011D4—84no—
2012D4—84no—
2013D4—84no—
2014D4—162no—
2015D4—162no—
2016D4—162no—
2017C2×C4—22no—
2018C2×C4—21no—
2019C2×C4—21no—
2020C2×C4—21no—
2021C2×C4—22no—
2022C2×C4—21no—
2023C2×C4—21no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—21no—
2028C2×C4—21no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—21no—
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—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
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—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—48no—
2099C2×C4—48no—
2100C2×C4—84no—
2101C2×C4—84no—
2102C2×C4—84no—
2103C2×C4—84no—
2104C2×C4—84no—
2105C2×C4—84no—
2106C2×C4—84no—
2107C2×C4—84no—
2108C2×C4—84no—
2109C2×C4—84no—
2110C2×C4—84no—
2111C2×C4—84no—
2112C2×C4—84no—
2113C2×C4—84no—
2114C2×C4—162no—
2115C2×C4—162no—
2116C2×C4—162no—
2117C2×C4C2×H(5,𝔽2)12yes—
2118C2×C4C2×H(5,𝔽2)12yes—
2119C2×C4C2×H(5,𝔽2)12yes—
2120C2×C4C2×H(5,𝔽2)12yes—
2121C2×C4#58514yes—
2122C22—24no—
2123C22—24no—
2124C22—24no—
2125C22—42no—
2126C22—42no—
2127C22—42no—
2128C22—42no—
2129C22—42no—
2130C22—42no—
2131C22—42no—
2132C22—42no—
2133C22—42no—
2134C22—42no—
2135C22—42no—
2136C22—42no—
2137C22—42no—
2138C22—42no—
2139C22—42no—
2140C22—42no—
2141C22—42no—
2142C22—42no—
2143C22—42no—
2144C22—42no—
2145C22—42no—
2146C22—42no—
2147C22—42no—
2148C22—42no—
2149C22—42no—
2150C22—42no—
2151C22—42no—
2152C22—42no—
2153C22—42no—
2154C22—42no—
2155C22—42no—
2156C22—42no—
2157C22C22×H(5,𝔽2)11yescharacteristic
2158C22C22×H(5,𝔽2)11yescharacteristic
2159C22C2×#58512yes—
2160C22H(7,𝔽2)11yescharacteristic
2161C222−1+612yes—
2162C4—22no—
2163C4—22no—
2164C4—22no—
2165C4—22no—
2166C4—24no—
2167C4—41no—
2168C4—41no—
2169C4—41no—
2170C4—42no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—42no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—42no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—42no—
2187C4—42no—
2188C4—42no—
2189C4—42no—
2190C4—42no—
2191C4—42no—
2192C2—44no—
2193C2—82no—
2194C2—82no—
2195C2—82no—
2196C2—82no—
2197C2#6282211yescharacteristic
2198C2#6288412yes—
2199C2#6289211yescharacteristic
2200C2#6289712yes—
2201C2#6306311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58901C2semidirect
2. #58104C2semidirect
3. #57022C2semidirect
4. #56388C2semidirect
5. #54448C2semidirect
6. #53627C2semidirect
7. #53474C2semidirect
8. #53320C2semidirect
9. #50682C2semidirect
10. #50017C2semidirect
11. #49718C2semidirect
12. #49548C2semidirect
13. #48822C2semidirect
14. #48752C2semidirect
15. #48647C2semidirect
16. #48288C2semidirect
17. #47935C2semidirect
18. #47799C2semidirect
19. #47544C2semidirect
20. #47302C2semidirect
21. #47129C2semidirect
22. #46751C2semidirect
23. #46536C2semidirect
24. #46322C2semidirect
25. #46119C2semidirect
26. #45387C2semidirect
27. #45141C2semidirect
28. #41339C2semidirect
29. #41196C2semidirect
30. #38369C2semidirect
31. #37756C2semidirect
32. #37208C2semidirect
33. #36800C2semidirect
34. #36125C2semidirect
35. #35067C2semidirect

Maximal subgroups

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

subgroupindex
#589012
#581042
#570222
#563882
#544482
#536272
#534742
#533202
#506822
#500172
#497182
#495482
#488222
#487522
#486472
#482882
#479352
#477992
#475442
#473022
#471292
#467512
#465362
#463222
#461192
#453872
#451412
#413392
#411962
#383692
#377562
#372082
#368002
#361252
#350672