Finite Group Databasebeta

← #9040115

Subgroups — #9040115

Order 512.

4470 conjugacy classes of subgroups.

The subgroup lattice has 2134 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57991C212yesmaximal, complemented
2#57766C212yesmaximal, complemented
3#56200C212yesmaximal, complemented
4#55854C212yesmaximal, complemented
5#55170C212yesmaximal, complemented
6#55168C212yesmaximal, complemented
7#55108C212yesmaximal, complemented
8#55106C212yesmaximal, complemented
9#55055C212yesmaximal, complemented
10#55053C212yesmaximal, complemented
11#54994C212yesmaximal, complemented
12#54992C212yesmaximal, complemented
13#52076C211yesmaximal, characteristic, complemented
14#51831C211yesmaximal, characteristic, complemented
15#51668C211yesmaximal, characteristic, complemented
16#51531C211yesmaximal, characteristic, complemented
17#51316C212yesmaximal, complemented
18#51097C212yesmaximal, complemented
19#51063C212yesmaximal, complemented
20#48099C212yesmaximal, complemented
21#48097C212yesmaximal, complemented
22#47910C212yesmaximal, complemented
23#47908C212yesmaximal, complemented
24#42667C212yesmaximal, complemented
25#42177C212yesmaximal, complemented
26#41247C212yesmaximal, complemented
27#41241C212yesmaximal, complemented
28#40533C212yesmaximal, complemented
29#40531C212yesmaximal, complemented
30#37233C211yesmaximal, characteristic, complemented
31#37233C211yesmaximal, characteristic, complemented
32#36838C212yesmaximal, complemented
33#36820C212yesmaximal, complemented
34#35832C212yesmaximal, complemented
35#35667C211yesmaximal, characteristic, complemented
36C2×#563C2211yescharacteristic
37C2×#555C2211yescharacteristic
38C2×#553C2212yes—
39C2×#552C2212yes—
40C2×#539C2211yescharacteristic
41C2×#539C2211yescharacteristic
42C2×#536C2211yescharacteristic
43C2×#536C2211yescharacteristic
44C22×C4⋊Q8C2211yescharacteristic
45C2×#519C2211yescharacteristic
46#2853C2212yes—
47#2853C2212yes—
48#2839C2212yes—
49#2839C2212yes—
50#2839C2212yes—
51#2838C2212yes—
52#2837C2212yes—
53#2837C2212yes—
54#2836C2212yes—
55#2833C2212yes—
56#2828C2212yes—
57#2827C2212yes—
58#2823C2212yes—
59#2822C2212yes—
60#2820C2212yes—
61#2814C2212yes—
62#2813C2212yes—
63#2813C2212yes—
64#2809C2211yescharacteristic
65#2809C2211yescharacteristic
66#2807C2212yes—
67#2803C2212yes—
68#2802C2212yes—
69#2802C2212yes—
70#2801C2212yes—
71#2801C2212yes—
72#2800C2212yes—
73#2797C2212yes—
74#2796C2212yes—
75#2795C2212yes—
76#2793C2212yes—
77#2792C2212yes—
78#2791C2212yes—
79#2791C2212yes—
80#2790C2212yes—
81#2790C2212yes—
82#2790C2212yes—
83#2788C2212yes—
84#2787C2212yes—
85#2787C2212yes—
86#2786C2212yes—
87#2786C2212yes—
88#2783C2212yes—
89#2782C2212yes—
90#2781C2212yes—
91#2781C2212yes—
92#2779C2212yes—
93#2779C2212yes—
94#2776C2212yes—
95#2774C2212yes—
96#2772C2212yes—
97#2770C2212yes—
98#2768C2212yes—
99#2768C2212yes—
100#2768C2212yes—
101#2767C2212yes—
102#2765C2212yes—
103#2765C2212yes—
104#2765C2212yes—
105#2765C2212yes—
106#2765C2212yes—
107#2765C2212yes—
108#2761C2212yes—
109#2761C2212yes—
110#2761C2212yes—
111#2758C2212yes—
112#2758C2212yes—
113#2757C2212yes—
114#2754C2212yes—
115#2754C2212yes—
116#2752C2212yes—
117#2751C2212yes—
118#2750C2212yes—
119#2750C2212yes—
120#2749C2212yes—
121#2749C2212yes—
122#2749C2212yes—
123#2749C2212yes—
124#2744C2212yes—
125#2744C2212yes—
126#2739C2212yes—
127#2739C2212yes—
128#2739C2212yes—
129#2738C2212yes—
130#2734C2211yescharacteristic
131#2734C2211yescharacteristic
132#2733C2211yescharacteristic
133#2733C2211yescharacteristic
134#2731C2211yescharacteristic
135#2731C2211yescharacteristic
136#2729C2212yes—
137#2726C2212yes—
138#2725C2212yes—
139#2720C2212yes—
140#2719C2212yes—
141#2718C2212yes—
142#2718C2212yes—
143#2718C2212yes—
144#2716C2212yes—
145#2716C2212yes—
146#2716C2212yes—
147#2716C2212yes—
148#2716C2212yes—
149#2713C2212yes—
150#2713C2212yes—
151#2713C2212yes—
152#2713C2212yes—
153#2713C2212yes—
154#2713C2212yes—
155#2711C2212yes—
156#2710C2212yes—
157#2708C2212yes—
158#2708C2212yes—
159#2708C2212yes—
160#2706C2212yes—
161#2704C2212yes—
162#2704C2212yes—
163#2703C2212yes—
164#2703C2212yes—
165#2703C2212yes—
166#2703C2212yes—
167#2702C2212yes—
168#2702C2212yes—
169#2701C2212yes—
170#2701C2212yes—
171#2701C2212yes—
172#2699C2212yes—
173#2698C2212yes—
174#2695C2212yes—
175#2695C2212yes—
176#2690C2212yes—
177#2689C2212yes—
178#2689C2212yes—
179#2688C2212yes—
180#2687C2212yes—
181#2686C2212yes—
182#2682C2212yes—
183#2681C2212yes—
184#2681C2212yes—
185#2680C2212yes—
186#2677C2212yes—
187#2677C2212yes—
188#2677C2212yes—
189#2677C2212yes—
190#2676C2212yes—
191#2674C2212yes—
192#2674C2212yes—
193#2674C2212yes—
194#2674C2212yes—
195#2674C2212yes—
196#2672C2212yes—
197#2672C2212yes—
198#2672C2212yes—
199#2671C2212yes—
200#2666C2212yes—
201#2664C2212yes—
202#2664C2212yes—
203#2662C2212yes—
204#2655C2212yes—
205#2654C2212yes—
206#2654C2212yes—
207#2653C2212yes—
208#2652C2212yes—
209#2651C2212yes—
210#2651C2212yes—
211#2651C2212yes—
212#2649C2212yes—
213#2648C2212yes—
214#2647C2212yes—
215#2637C2212yes—
216#2637C2212yes—
217#2636C2212yes—
218#2630C2212yes—
219#2630C2212yes—
220#2630C2212yes—
221#2630C2212yes—
222#2629C2212yes—
223#2629C2212yes—
224#2629C2212yes—
225#2628C2212yes—
226#2627C2212yes—
227#2623C2212yes—
228#2623C2212yes—
229#2620C2212yes—
230#2618C2212yes—
231#2609C2212yes—
232#2609C2212yes—
233#2609C2212yes—
234#2606C2212yes—
235#2602C2212yes—
236#2601C2212yes—
237#2601C2212yes—
238#2601C2212yes—
239#2601C2212yes—
240#2597C2212yes—
241#2594C2212yes—
242#2594C2212yes—
243#2594C2212yes—
244#2593C2212yes—
245#2591C2211yescharacteristic
246#2591C2211yescharacteristic
247#2587C2212yes—
248#2583C2211yescharacteristic
249#2583C2211yescharacteristic
250#2579C2212yes—
251#2579C2212yes—
252#2579C2212yes—
253#2578C2212yes—
254#2576C2212yes—
255#2575C2212yes—
256#2573C2212yes—
257#2571C2212yes—
258#2570C2212yes—
259#2570C2212yes—
260#2569C2212yes—
261#2566C2212yes—
262#2565C2212yes—
263#2559C2212yes—
264#2558C2212yes—
265#2558C2212yes—
266#2557C2212yes—
267#2556C2212yes—
268#2554C2212yes—
269#2553C2212yes—
270#2550C2212yes—
271#2546C2212yes—
272#2546C2212yes—
273#2545C2212yes—
274#2545C2212yes—
275#2538C2212yes—
276#2529C2212yes—
277#2529C2212yes—
278#2527C2212yes—
279#2526C2212yes—
280#2524C2212yes—
281#2524C2212yes—
282#2520C2212yes—
283#2518C2212yes—
284#2515C2212yes—
285#2507C2212yes—
286#2506C2212yes—
287#2497C2212yes—
288#2496C2212yes—
289#2495C2212yes—
290#2495C2212yes—
291#2479C2212yes—
292#2479C2212yes—
293#2478C2212yes—
294#2478C2212yes—
295#2477C2212yes—
296#2476C2212yes—
297#2476C2212yes—
298#2475C2212yes—
299#2475C2212yes—
300#2475C2212yes—
301#2475C2212yes—
302#2474C2212yes—
303#2474C2212yes—
304#2473C2212yes—
305#2473C2212yes—
306#2471C2212yes—
307#2471C2212yes—
308#2470C2212yes—
309#2468C2212yes—
310#2467C2212yes—
311#2466C2212yes—
312#2464C2212yes—
313#2463C2212yes—
314#2462C2212yes—
315#2462C2212yes—
316#2461C2212yes—
317#2461C2212yes—
318#2460C2212yes—
319#2459C2212yes—
320#2458C2212yes—
321#2458C2212yes—
322#2457C2212yes—
323#2457C2212yes—
324#2455C2212yes—
325#2452C2212yes—
326#2452C2212yes—
327#2450C2212yes—
328#2450C2212yes—
329#2449C2212yes—
330#2449C2212yes—
331#2441C2212yes—
332#2440C2212yes—
333#2438C2212yes—
334#2438C2212yes—
335#2436C2211yescharacteristic
336#2436C2211yescharacteristic
337#2434C2211yescharacteristic
338#2434C2211yescharacteristic
339#2430C2212yes—
340#2429C2212yes—
341#2429C2212yes—
342#2429C2212yes—
343#2429C2212yes—
344#2423C2212yes—
345#2421C2212yes—
346#2417C2212yes—
347#2413C2212yes—
348#2413C2212yes—
349#2413C2212yes—
350#2413C2212yes—
351#2413C2212yes—
352#2409C2212yes—
353#2409C2212yes—
354#2407C2212yes—
355#2396C2212yes—
356#2396C2212yes—
357#2392C2212yes—
358#2381C2211yescharacteristic
359#2379C2211yescharacteristic
360#2379C2211yescharacteristic
361#2376C2212yes—
362#2372C2211yescharacteristic
363#2369C2211yescharacteristic
364#2369C2211yescharacteristic
365#2362C2212yes—
366#2360C2212yes—
367#2355C2212yes—
368#2354C2212yes—
369#2352C2212yes—
370#2335C2212yes—
371#2334C2212yes—
372#2318C2212yes—
373#2314C2212yes—
374#2313C2211yescharacteristic
375#2313C2211yescharacteristic
376#2310C2211yescharacteristic
377#2297C2211yescharacteristic
378#2296C2211yescharacteristic
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381C23×Q8C2311yescharacteristic
382#563—44no—
383#555—44no—
384#553—48no—
385#552—48no—
386#539—44no—
387#539—44no—
388#536—44no—
389#536—44no—
390C2×C4⋊Q8—44no—
391C2×C4⋊Q8C2311yescharacteristic
392C2×C4⋊Q8C2311yescharacteristic
393C2×C4⋊Q8C2311yescharacteristic
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2311yescharacteristic
399C2×C4⋊Q8C2311yescharacteristic
400C2×C4⋊Q8C2312yes—
401C2×C4⋊Q8C2311yescharacteristic
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2312yes—
416C2×#124C2311yescharacteristic
417C2×#124C2312yes—
418C2×#124C2311yescharacteristic
419C2×#124C2311yescharacteristic
420C2×#124C2312yes—
421C2×#124C2311yescharacteristic
422C2×#124C2311yescharacteristic
423C2×#124C2311yescharacteristic
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2311yescharacteristic
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×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×#121C2311yescharacteristic
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459#519—44no—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×#117C2312yes—
472C2×#117C2311yescharacteristic
473C2×#117C2311yescharacteristic
474C2×#117C2311yescharacteristic
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2312yes—
487C22×C42C2311yescharacteristic
488#401C2312yes—
489#401C2312yes—
490#401C2312yes—
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#399C2312yes—
530#399C2312yes—
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
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#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
612#397C2312yes—
613#397C2312yes—
614#397C2312yes—
615#397C2312yes—
616#397C2312yes—
617#397C2312yes—
618#397C2312yes—
619#397C2312yes—
620#397C2312yes—
621#397C2312yes—
622#397C2312yes—
623#397C2312yes—
624#397C2312yes—
625#397C2312yes—
626#397C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#396C2312yes—
640#396C2312yes—
641#396C2312yes—
642#396C2312yes—
643#396C2312yes—
644#396C2312yes—
645#396C2312yes—
646#396C2312yes—
647#396C2312yes—
648#396C2312yes—
649#396C2312yes—
650#396C2312yes—
651#396C2312yes—
652#396C2312yes—
653#396C2312yes—
654#396C2312yes—
655#396C2312yes—
656#396C2312yes—
657#396C2312yes—
658#396C2312yes—
659#396C2312yes—
660#396C2312yes—
661#396C2312yes—
662#396C2312yes—
663#396C2312yes—
664#396C2312yes—
665#396C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
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#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#394C2312yes—
708#394C2312yes—
709#394C2312yes—
710#394C2312yes—
711#394C2312yes—
712#394C2312yes—
713#394C2312yes—
714#394C2312yes—
715#394C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
721#393C2312yes—
722#393C2312yes—
723#393C2312yes—
724#393C2312yes—
725#393C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#392C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2311yescharacteristic
739#391C2311yescharacteristic
740#391C2311yescharacteristic
741#391C2311yescharacteristic
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2312yes—
747#391C2312yes—
748#391C2311yescharacteristic
749#391C2311yescharacteristic
750#391C2311yescharacteristic
751#391C2311yescharacteristic
752#391C2311yescharacteristic
753#391C2311yescharacteristic
754#391C2311yescharacteristic
755#391C2312yes—
756#391C2311yescharacteristic
757#391C2312yes—
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#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#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
811#389C2312yes—
812#389C2312yes—
813#389C2312yes—
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#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#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#387C2312yes—
958#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#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
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#384C2312yes—
1033#384C2312yes—
1034#384C2312yes—
1035#384C2312yes—
1036#384C2312yes—
1037#383C2312yes—
1038#383C2312yes—
1039#383C2312yes—
1040#383C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#382C2312yes—
1044#382C2312yes—
1045#382C2312yes—
1046#382C2312yes—
1047#382C2312yes—
1048#382C2312yes—
1049#382C2312yes—
1050#382C2312yes—
1051#381C2312yes—
1052#381C2312yes—
1053#381C2312yes—
1054#381C2312yes—
1055#381C2312yes—
1056#381C2312yes—
1057#381C2312yes—
1058#381C2312yes—
1059#381C2312yes—
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⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C22⋊C4C2311yescharacteristic
1093C4×C22⋊C4C2311yescharacteristic
1094C4×C22⋊C4C2311yescharacteristic
1095C4×C22⋊C4C2311yescharacteristic
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106#376C2312yes—
1107C2×#95C2312yes—
1108C2×#41—42no—
1109C2×#41—42no—
1110C2×#41—42no—
1111C22×Q8—24no—
1112C22×Q8—42no—
1113C22×Q8—42no—
1114C22×Q8—42no—
1115C22×Q8—42no—
1116C22×Q8—42no—
1117C22×Q8C2412yes—
1118C22×Q8C2412yes—
1119C22×Q8C2411yescharacteristic
1120C22×Q8C2411yescharacteristic
1121C22×Q8C2411yescharacteristic
1122C22×Q8C2411yescharacteristic
1123C22×Q8C2411yescharacteristic
1124C22×Q8C2411yescharacteristic
1125C22×Q8C2411yescharacteristic
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2411yescharacteristic
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2412yes—
1135C22×D4C2412yes—
1136C22×D4C2411yescharacteristic
1137C22×D4C2411yescharacteristic
1138C23×C4C2411yescharacteristic
1139C23×C4C2411yescharacteristic
1140C23×C4C2411yescharacteristic
1141C23×C4C2411yescharacteristic
1142C23×C4C2411yescharacteristic
1143C23×C4C2411yescharacteristic
1144C23×C4C2412yes—
1145C23×C4C2412yes—
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2411yescharacteristic
1154C4⋊Q8—24no—
1155C4⋊Q8—42no—
1156C4⋊Q8—44no—
1157C4⋊Q8—44no—
1158C4⋊Q8—44no—
1159C4⋊Q8—44no—
1160C4⋊Q8—42no—
1161C4⋊Q8—42no—
1162C4⋊Q8—44no—
1163C4⋊Q8—42no—
1164C4⋊Q8—42no—
1165#126—28no—
1166#126—44no—
1167#126—44no—
1168#126—44no—
1169#126—44no—
1170#126—44no—
1171#126—44no—
1172#125—44no—
1173#125—44no—
1174#125—44no—
1175#125—44no—
1176#125—44no—
1177#125—44no—
1178#125—44no—
1179#124—24no—
1180#124—44no—
1181#124—42no—
1182#124—42no—
1183#124—42no—
1184#124—44no—
1185#124—42no—
1186#124—42no—
1187#123—28no—
1188#123—44no—
1189#123—44no—
1190#123—44no—
1191#123—44no—
1192#123—44no—
1193#123—44no—
1194#123—44no—
1195#123—44no—
1196#123—44no—
1197#123—44no—
1198#123—44no—
1199#123—44no—
1200C22⋊Q8—42no—
1201C22⋊Q8—42no—
1202C22⋊Q8—44no—
1203C22⋊Q8—44no—
1204C22⋊Q8—44no—
1205C22⋊Q8—44no—
1206C22⋊Q8—44no—
1207C22⋊Q8—44no—
1208C22⋊Q8—44no—
1209C22⋊Q8—44no—
1210C22⋊Q8—44no—
1211C22⋊Q8—44no—
1212C22⋊Q8—44no—
1213C22⋊Q8—44no—
1214#121—44no—
1215#121—44no—
1216#121—44no—
1217#121—44no—
1218#121—44no—
1219#121—44no—
1220#121—42no—
1221#121—42no—
1222C4×Q8—28no—
1223C4×Q8—44no—
1224C4×Q8—44no—
1225C4×Q8—44no—
1226C4×D4—28no—
1227C4×D4—28no—
1228C4×D4—44no—
1229C4×D4—44no—
1230C4×D4—44no—
1231C4×D4—44no—
1232C4×D4—44no—
1233#117—24no—
1234#117—28no—
1235#117—44no—
1236#117—44no—
1237#117—44no—
1238#117—44no—
1239#117—44no—
1240#117—44no—
1241#117—42no—
1242#117—42no—
1243C2×C4⋊C4—24no—
1244C2×C4⋊C4—24no—
1245C2×C4⋊C4—44no—
1246C2×C4⋊C4—44no—
1247C2×C4⋊C4—42no—
1248C2×C4⋊C4—42no—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2411yescharacteristic
1283C2×C4⋊C4C2411yescharacteristic
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2411yescharacteristic
1289C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
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⋊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⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊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×C42—42no—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2411yescharacteristic
1426C2×C42C2412yes—
1427C2×C42C2411yescharacteristic
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431C2×C42C2412yes—
1432C2×C42C2411yescharacteristic
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2411yescharacteristic
1436C2×C42C2412yes—
1437C2×C42C2411yescharacteristic
1438C2×C42C2411yescharacteristic
1439C2×C42C2411yescharacteristic
1440C2×C42C2411yescharacteristic
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2411yescharacteristic
1444C2×C42C2411yescharacteristic
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2412yes—
1448C2×C42C2412yes—
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2411yescharacteristic
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—
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#95C2412yes—
1555#95C2412yes—
1556C24C2512yes—
1557C24C2512yes—
1558C24C2512yes—
1559C24C2511yescharacteristic
1560#41—88no—
1561C2×Q8—24no—
1562C2×Q8—24no—
1563C2×Q8—24no—
1564C2×Q8—22no—
1565C2×Q8—22no—
1566C2×Q8—22no—
1567C2×Q8—24no—
1568C2×Q8—22no—
1569C2×Q8—22no—
1570C2×Q8—42no—
1571C2×Q8—42no—
1572C2×Q8—41no—
1573C2×Q8—41no—
1574C2×Q8—41no—
1575C2×Q8—41no—
1576C2×Q8—41no—
1577C2×Q8—41no—
1578C2×Q8—41no—
1579C2×Q8—41no—
1580C2×Q8—41no—
1581C2×Q8—41no—
1582C2×Q8—41no—
1583C2×Q8—41no—
1584C2×Q8—41no—
1585C2×Q8—41no—
1586C2×Q8—41no—
1587C2×Q8—41no—
1588C2×Q8—416no—
1589C2×Q8—88no—
1590C2×D4—24no—
1591C2×D4—24no—
1592C2×D4—24no—
1593C2×D4—22no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—41no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—42no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—41no—
1616C2×D4—42no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—41no—
1620C2×D4—41no—
1621C2×D4—41no—
1622C2×D4—41no—
1623C2×D4—42no—
1624C2×D4—41no—
1625C2×D4—41no—
1626C22×C4—22no—
1627C22×C4—22no—
1628C22×C4—22no—
1629C22×C4—22no—
1630C22×C4—22no—
1631C22×C4—22no—
1632C22×C4—22no—
1633C22×C4—22no—
1634C22×C4—24no—
1635C22×C4—24no—
1636C22×C4—24no—
1637C22×C4—24no—
1638C22×C4—41no—
1639C22×C4—41no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—41no—
1643C22×C4—41no—
1644C22×C4—42no—
1645C22×C4—42no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—42no—
1653C22×C4—42no—
1654C22×C4—41no—
1655C22×C4—41no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—41no—
1667C22×C4—41no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4H(5,𝔽2)14yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2511yescharacteristic
1692C22×C4C2511yescharacteristic
1693C22×C4C2511yescharacteristic
1694C22×C4C2511yescharacteristic
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2511yescharacteristic
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2511yescharacteristic
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—24no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—24no—
1709C4⋊C4—24no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—41no—
1765C4⋊C4—41no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—41no—
1771C4⋊C4—41no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
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—41no—
1790C4⋊C4—41no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
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—
1874C42—24no—
1875C42—22no—
1876C42—24no—
1877C42—24no—
1878C42—24no—
1879C42—24no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—41no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—41no—
1893C42—41no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—41no—
1898C42—41no—
1899C42—41no—
1900C42—41no—
1901C42—41no—
1902C42—41no—
1903C42—41no—
1904C42H(5,𝔽2)14yes—
1905C23—21no—
1906C23—21no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—22no—
1916C23—22no—
1917C23—22no—
1918C23—22no—
1919C23—22no—
1920C23—22no—
1921C23—22no—
1922C23—22no—
1923C23—22no—
1924C23—22no—
1925C23—22no—
1926C23—22no—
1927C23—22no—
1928C23—22no—
1929C23—22no—
1930C23C2×H(5,𝔽2)12yes—
1931C23C2611yescharacteristic
1932Q8—48no—
1933Q8—48no—
1934Q8—82no—
1935Q8—82no—
1936Q8—82no—
1937Q8—82no—
1938Q8—82no—
1939Q8—161no—
1940Q8—161no—
1941D4—82no—
1942D4—84no—
1943D4—84no—
1944D4—84no—
1945D4—84no—
1946D4—84no—
1947D4—84no—
1948D4—84no—
1949D4—84no—
1950D4—161no—
1951D4—161no—
1952D4—162no—
1953C2×C4—28no—
1954C2×C4—22no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—21no—
1958C2×C4—22no—
1959C2×C4—21no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—21no—
1978C2×C4—21no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—21no—
1992C2×C4—21no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—21no—
1998C2×C4—21no—
1999C2×C4—22no—
2000C2×C4—21no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
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—44no—
2044C2×C4—44no—
2045C2×C4—44no—
2046C2×C4—44no—
2047C2×C4—84no—
2048C2×C4—84no—
2049C2×C4—84no—
2050C2×C4—84no—
2051C2×C4—82no—
2052C2×C4—82no—
2053C2×C4—84no—
2054C2×C4—84no—
2055C2×C4—84no—
2056C2×C4—84no—
2057C2×C4—162no—
2058C2×C4C2×H(5,𝔽2)14yes—
2059C2×C4C2×H(5,𝔽2)14yes—
2060C2×C4C2×H(5,𝔽2)12yes—
2061C2×C4#58512yes—
2062C22—22no—
2063C22—22no—
2064C22—22no—
2065C22—42no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—42no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—42no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22C22×H(5,𝔽2)11yescharacteristic
2089C22C22×H(5,𝔽2)11yescharacteristic
2090C22C2×#58511yescharacteristic
2091C222−1+612yes—
2092C222−1+612yes—
2093C4—22no—
2094C4—22no—
2095C4—24no—
2096C4—24no—
2097C4—42no—
2098C4—42no—
2099C4—42no—
2100C4—41no—
2101C4—41no—
2102C4—42no—
2103C4—41no—
2104C4—41no—
2105C4—42no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—42no—
2111C4—42no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C4—42no—
2121C4—42no—
2122C4—42no—
2123C4—42no—
2124C2—42no—
2125C2—82no—
2126C2—82no—
2127C2—82no—
2128C2#6281811yescharacteristic
2129C2#6288611yescharacteristic
2130C2#6288611yescharacteristic
2131C2#6288812yes—
2132C2#6289012yes—
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. #57991C2semidirect
2. #57766C2semidirect
3. #56200C2semidirect
4. #55854C2semidirect
5. #55170C2semidirect
6. #55168C2semidirect
7. #55108C2semidirect
8. #55106C2semidirect
9. #55055C2semidirect
10. #55053C2semidirect
11. #54994C2semidirect
12. #54992C2semidirect
13. #52076C2semidirect
14. #51831C2semidirect
15. #51668C2semidirect
16. #51531C2semidirect
17. #51316C2semidirect
18. #51097C2semidirect
19. #51063C2semidirect
20. #48099C2semidirect
21. #48097C2semidirect
22. #47910C2semidirect
23. #47908C2semidirect
24. #42667C2semidirect
25. #42177C2semidirect
26. #41247C2semidirect
27. #41241C2semidirect
28. #40533C2semidirect
29. #40531C2semidirect
30. #37233C2semidirect
31. #37233C2semidirect
32. #36838C2semidirect
33. #36820C2semidirect
34. #35832C2semidirect
35. #35667C2semidirect

Maximal subgroups

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

subgroupindex
#579912
#577662
#562002
#558542
#551702
#551682
#551082
#551062
#550552
#550532
#549942
#549922
#520762
#518312
#516682
#515312
#513162
#510972
#510632
#480992
#480972
#479102
#479082
#426672
#421772
#412472
#412412
#405332
#405312
#372332
#368382
#368202
#358322
#356672