Finite Group Databasebeta

← #8757560

Subgroups — #8757560

Order 512.

4412 conjugacy classes of subgroups.

The subgroup lattice has 2143 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58013C212yesmaximal, complemented
2#56263C212yesmaximal, complemented
3#55246C212yesmaximal, complemented
4#55236C212yesmaximal, complemented
5#55222C212yesmaximal, complemented
6#55075C212yesmaximal, complemented
7#55010C212yesmaximal, complemented
8#54998C212yesmaximal, complemented
9#54811C212yesmaximal, complemented
10#54783C212yesmaximal, complemented
11#53822C212yesmaximal, complemented
12#53779C212yesmaximal, complemented
13#51427C212yesmaximal, complemented
14#50484C212yesmaximal, complemented
15#50476C212yesmaximal, complemented
16#50104C212yesmaximal, complemented
17#50100C212yesmaximal, complemented
18#49592C211yesmaximal, characteristic, complemented
19#49591C211yesmaximal, characteristic, complemented
20#47797C212yesmaximal, complemented
21#47768C212yesmaximal, complemented
22#47659C211yesmaximal, characteristic, complemented
23#47534C212yesmaximal, complemented
24#47354C212yesmaximal, complemented
25#47205C212yesmaximal, complemented
26#47176C211yesmaximal, characteristic, complemented
27#46349C211yesmaximal, characteristic, complemented
28#46261C212yesmaximal, complemented
29#46214C212yesmaximal, complemented
30#46099C211yesmaximal, characteristic, complemented
31#45755C212yesmaximal, complemented
32#45583C212yesmaximal, complemented
33#45545C212yesmaximal, complemented
34#35307C211yesmaximal, characteristic, complemented
35#35195C212yesmaximal, complemented
36C2×#542C2212yes—
37C2×#542C2212yes—
38C2×#536C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40#2855C2212yes—
41#2855C2212yes—
42#2852C2212yes—
43#2852C2212yes—
44#2850C2212yes—
45#2850C2212yes—
46#2839C2212yes—
47#2838C2212yes—
48#2838C2212yes—
49#2838C2212yes—
50#2837C2212yes—
51#2833C2211yescharacteristic
52#2832C2211yescharacteristic
53#2832C2211yescharacteristic
54#2832C2211yescharacteristic
55#2832C2212yes—
56#2832C2212yes—
57#2831C2212yes—
58#2830C2211yescharacteristic
59#2828C2211yescharacteristic
60#2828C2212yes—
61#2824C2212yes—
62#2821C2212yes—
63#2820C2212yes—
64#2819C2212yes—
65#2815C2212yes—
66#2813C2212yes—
67#2811C2211yescharacteristic
68#2811C2211yescharacteristic
69#2806C2212yes—
70#2805C2212yes—
71#2804C2212yes—
72#2804C2212yes—
73#2803C2212yes—
74#2799C2211yescharacteristic
75#2799C2211yescharacteristic
76#2798C2212yes—
77#2798C2212yes—
78#2798C2212yes—
79#2797C2212yes—
80#2797C2212yes—
81#2796C2212yes—
82#2789C2212yes—
83#2789C2212yes—
84#2787C2212yes—
85#2781C2212yes—
86#2780C2212yes—
87#2780C2212yes—
88#2778C2212yes—
89#2778C2212yes—
90#2776C2212yes—
91#2775C2212yes—
92#2774C2212yes—
93#2767C2212yes—
94#2765C2212yes—
95#2763C2212yes—
96#2763C2212yes—
97#2763C2212yes—
98#2762C2212yes—
99#2761C2212yes—
100#2761C2212yes—
101#2761C2212yes—
102#2760C2212yes—
103#2760C2212yes—
104#2760C2212yes—
105#2760C2212yes—
106#2759C2212yes—
107#2759C2212yes—
108#2759C2212yes—
109#2759C2212yes—
110#2758C2212yes—
111#2758C2212yes—
112#2757C2212yes—
113#2752C2212yes—
114#2751C2212yes—
115#2751C2212yes—
116#2751C2212yes—
117#2751C2212yes—
118#2750C2212yes—
119#2749C2212yes—
120#2747C2212yes—
121#2746C2212yes—
122#2746C2212yes—
123#2743C2212yes—
124#2742C2212yes—
125#2742C2212yes—
126#2739C2212yes—
127#2737C2212yes—
128#2737C2212yes—
129#2733C2211yescharacteristic
130#2733C2212yes—
131#2733C2211yescharacteristic
132#2731C2212yes—
133#2730C2212yes—
134#2730C2212yes—
135#2730C2212yes—
136#2729C2212yes—
137#2729C2212yes—
138#2728C2211yescharacteristic
139#2728C2212yes—
140#2728C2211yescharacteristic
141#2723C2212yes—
142#2723C2212yes—
143#2717C2212yes—
144#2716C2212yes—
145#2716C2212yes—
146#2715C2212yes—
147#2714C2212yes—
148#2714C2212yes—
149#2713C2212yes—
150#2712C2212yes—
151#2712C2212yes—
152#2712C2212yes—
153#2711C2212yes—
154#2710C2212yes—
155#2710C2212yes—
156#2708C2212yes—
157#2706C2212yes—
158#2705C2212yes—
159#2705C2212yes—
160#2705C2212yes—
161#2703C2212yes—
162#2702C2212yes—
163#2702C2212yes—
164#2700C2212yes—
165#2700C2212yes—
166#2700C2212yes—
167#2700C2212yes—
168#2699C2212yes—
169#2698C2212yes—
170#2698C2212yes—
171#2698C2212yes—
172#2696C2212yes—
173#2696C2212yes—
174#2696C2212yes—
175#2696C2212yes—
176#2695C2212yes—
177#2695C2212yes—
178#2694C2212yes—
179#2692C2212yes—
180#2692C2212yes—
181#2692C2212yes—
182#2692C2212yes—
183#2691C2212yes—
184#2691C2212yes—
185#2689C2212yes—
186#2689C2212yes—
187#2689C2212yes—
188#2688C2212yes—
189#2688C2212yes—
190#2688C2212yes—
191#2688C2212yes—
192#2687C2212yes—
193#2686C2212yes—
194#2682C2212yes—
195#2681C2212yes—
196#2681C2212yes—
197#2677C2212yes—
198#2676C2212yes—
199#2676C2212yes—
200#2676C2212yes—
201#2673C2212yes—
202#2673C2212yes—
203#2672C2212yes—
204#2672C2212yes—
205#2671C2212yes—
206#2671C2212yes—
207#2665C2211yescharacteristic
208#2665C2212yes—
209#2665C2211yescharacteristic
210#2653C2212yes—
211#2648C2212yes—
212#2648C2212yes—
213#2643C2212yes—
214#2640C2212yes—
215#2639C2212yes—
216#2637C2212yes—
217#2636C2212yes—
218#2636C2212yes—
219#2635C2212yes—
220#2631C2212yes—
221#2631C2212yes—
222#2631C2212yes—
223#2625C2212yes—
224#2625C2212yes—
225#2616C2211yescharacteristic
226#2615C2211yescharacteristic
227#2610C2212yes—
228#2610C2212yes—
229#2609C2212yes—
230#2607C2212yes—
231#2607C2212yes—
232#2604C2212yes—
233#2603C2212yes—
234#2601C2212yes—
235#2600C2212yes—
236#2599C2212yes—
237#2591C2211yescharacteristic
238#2587C2212yes—
239#2583C2211yescharacteristic
240#2580C2212yes—
241#2578C2212yes—
242#2574C2212yes—
243#2574C2212yes—
244#2573C2212yes—
245#2568C2212yes—
246#2564C2212yes—
247#2560C2212yes—
248#2560C2212yes—
249#2559C2212yes—
250#2557C2212yes—
251#2557C2212yes—
252#2557C2212yes—
253#2556C2212yes—
254#2555C2211yescharacteristic
255#2555C2211yescharacteristic
256#2554C2212yes—
257#2554C2212yes—
258#2553C2212yes—
259#2549C2212yes—
260#2543C2212yes—
261#2532C2212yes—
262#2532C2212yes—
263#2530C2212yes—
264#2528C2212yes—
265#2528C2212yes—
266#2528C2212yes—
267#2528C2212yes—
268#2527C2212yes—
269#2527C2212yes—
270#2527C2212yes—
271#2527C2212yes—
272#2521C2212yes—
273#2521C2212yes—
274#2521C2212yes—
275#2520C2212yes—
276#2515C2212yes—
277#2514C2212yes—
278#2510C2212yes—
279#2505C2212yes—
280#2505C2212yes—
281#2498C2212yes—
282#2493C2212yes—
283#2491C2212yes—
284#2489C2212yes—
285#2488C2212yes—
286#2488C2212yes—
287#2488C2212yes—
288#2488C2212yes—
289#2488C2212yes—
290#2485C2212yes—
291#2479C2212yes—
292#2477C2212yes—
293#2477C2212yes—
294#2477C2212yes—
295#2474C2212yes—
296#2471C2212yes—
297#2471C2212yes—
298#2471C2212yes—
299#2469C2212yes—
300#2469C2212yes—
301#2467C2212yes—
302#2466C2212yes—
303#2465C2212yes—
304#2465C2212yes—
305#2464C2212yes—
306#2463C2212yes—
307#2463C2212yes—
308#2463C2212yes—
309#2463C2212yes—
310#2462C2212yes—
311#2461C2212yes—
312#2459C2212yes—
313#2459C2212yes—
314#2458C2212yes—
315#2457C2212yes—
316#2456C2212yes—
317#2456C2212yes—
318#2456C2212yes—
319#2452C2212yes—
320#2450C2212yes—
321#2450C2212yes—
322#2450C2212yes—
323#2448C2212yes—
324#2447C2212yes—
325#2447C2212yes—
326#2446C2212yes—
327#2446C2212yes—
328#2445C2212yes—
329#2444C2212yes—
330#2444C2212yes—
331#2444C2212yes—
332#2439C2212yes—
333#2438C2212yes—
334#2436C2212yes—
335#2431C2212yes—
336#2431C2212yes—
337#2430C2212yes—
338#2430C2212yes—
339#2430C2212yes—
340#2429C2212yes—
341#2428C2212yes—
342#2427C2212yes—
343#2421C2212yes—
344#2420C2212yes—
345#2419C2212yes—
346#2419C2212yes—
347#2419C2212yes—
348#2419C2212yes—
349#2419C2212yes—
350#2415C2212yes—
351#2414C2212yes—
352#2409C2212yes—
353#2407C2212yes—
354#2406C2211yescharacteristic
355#2406C2211yescharacteristic
356#2379C2212yes—
357#2378C2212yes—
358#2378C2212yes—
359#2378C2211yescharacteristic
360#2377C2211yescharacteristic
361#2377C2212yes—
362#2376C2212yes—
363#2353C2212yes—
364#2341C2211yescharacteristic
365#2339C2211yescharacteristic
366#2337C2212yes—
367#2331C2212yes—
368#2329C2212yes—
369#2328C2212yes—
370#2324C2212yes—
371#2320C2212yes—
372#2316C2211yescharacteristic
373#2311C2211yescharacteristic
374#2310C2211yescharacteristic
375C4×#121C2212yes—
376#2296C2211yescharacteristic
377C2×#391C2211yescharacteristic
378#2290C2212yes—
379C22×#41C2311yescharacteristic
380C22×#41C2311yescharacteristic
381C22×#41C2311yescharacteristic
382C23×Q8C2311yescharacteristic
383#542—48no—
384#542—48no—
385#536—44no—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#127C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#125C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
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×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C4×#41—44no—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×#117C2311yescharacteristic
462C2×#117C2311yescharacteristic
463C2×#117C2311yescharacteristic
464C2×#117C2312yes—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C22×C4⋊C4C2311yescharacteristic
468C22×C42C2311yescharacteristic
469C22×C42C2312yes—
470#401C2312yes—
471#401C2312yes—
472#401C2312yes—
473#401C2312yes—
474#401C2312yes—
475#401C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2311yescharacteristic
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2311yescharacteristic
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#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2311yescharacteristic
529#398C2312yes—
530#398C2312yes—
531#398C2311yescharacteristic
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#397C2312yes—
545#397C2312yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2312yes—
556#397C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2311yescharacteristic
609#395C2312yes—
610#395C2312yes—
611#395C2311yescharacteristic
612#395C2311yescharacteristic
613#395C2311yescharacteristic
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2311yescharacteristic
620#395C2312yes—
621#395C2311yescharacteristic
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2311yescharacteristic
639#394C2312yes—
640#394C2311yescharacteristic
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2311yescharacteristic
646#394C2311yescharacteristic
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2311yescharacteristic
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2311yescharacteristic
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#393C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#392C2312yes—
703#392C2312yes—
704#392C2312yes—
705#392C2312yes—
706#392C2312yes—
707#392C2312yes—
708#392C2312yes—
709#392C2312yes—
710#392C2312yes—
711#392C2312yes—
712#392C2312yes—
713#392C2312yes—
714#392C2312yes—
715#392C2312yes—
716#392C2312yes—
717#392C2312yes—
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#391C2311yescharacteristic
737#391C2311yescharacteristic
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2312yes—
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2311yescharacteristic
747#391C2311yescharacteristic
748#391C2312yes—
749#391C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2312yes—
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#390C2312yes—
757#390C2312yes—
758#390C2311yescharacteristic
759#390C2311yescharacteristic
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#390C2312yes—
777#390C2312yes—
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#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#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#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#386C2312yes—
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#383C2312yes—
1025#383C2312yes—
1026#383C2312yes—
1027#383C2312yes—
1028#383C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#381C2311yescharacteristic
1050#381C2311yescharacteristic
1051#381C2312yes—
1052#381C2312yes—
1053#381C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2311yescharacteristic
1059#380C2311yescharacteristic
1060#380C2311yescharacteristic
1061#380C2311yescharacteristic
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2312yes—
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2311yescharacteristic
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2311yescharacteristic
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094#376C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#41—24no—
1103C2×#41—42no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C2×#41—42no—
1107C2×#41—82no—
1108C2×#41—82no—
1109C22×Q8—42no—
1110C22×Q8—42no—
1111C22×Q8—42no—
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2412yes—
1117C22×Q8C2411yescharacteristic
1118C22×Q8C2412yes—
1119C22×Q8C2412yes—
1120C22×Q8C2412yes—
1121C22×Q8C2411yescharacteristic
1122C22×Q8C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C22×D4C2412yes—
1127C22×D4C2412yes—
1128C22×D4C2412yes—
1129C22×D4C2411yescharacteristic
1130C22×D4C2412yes—
1131C22×D4C2412yes—
1132C22×D4C2412yes—
1133C22×D4C2412yes—
1134C22×D4C2411yescharacteristic
1135C22×D4C2412yes—
1136C22×D4C2412yes—
1137C22×D4C2412yes—
1138C22×D4C2412yes—
1139C22×D4C2412yes—
1140C22×D4C2412yes—
1141C22×D4C2411yescharacteristic
1142C22×D4C2412yes—
1143C23×C4C2411yescharacteristic
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C23×C4C2411yescharacteristic
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2412yes—
1151C23×C4C2412yes—
1152C23×C4C2412yes—
1153C23×C4C2412yes—
1154C23×C4C2412yes—
1155C23×C4C2412yes—
1156C23×C4C2412yes—
1157C23×C4C2412yes—
1158C23×C4C2412yes—
1159C23×C4C2412yes—
1160C4⋊Q8—28no—
1161C4⋊Q8—44no—
1162C4⋊Q8—82no—
1163#127—44no—
1164#126—44no—
1165#126—44no—
1166#126—44no—
1167#126—44no—
1168#126—82no—
1169#126—82no—
1170#126—82no—
1171#125—82no—
1172#124—28no—
1173#124—44no—
1174#124—44no—
1175#124—44no—
1176#124—44no—
1177#124—44no—
1178#124—44no—
1179#124—82no—
1180#124—82no—
1181#124—82no—
1182#123—44no—
1183#123—44no—
1184#123—44no—
1185#123—44no—
1186#123—44no—
1187#123—44no—
1188#123—44no—
1189#123—82no—
1190#123—82no—
1191#123—82no—
1192C22⋊Q8—28no—
1193C22⋊Q8—42no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—44no—
1200C22⋊Q8—44no—
1201C22⋊Q8—44no—
1202C22⋊Q8—82no—
1203C22⋊Q8—82no—
1204C22⋊Q8—82no—
1205C22⋊Q8—82no—
1206C22⋊Q8—82no—
1207C22⋊Q8—82no—
1208#121—44no—
1209#121—44no—
1210#121—44no—
1211#121—44no—
1212#121—42no—
1213#121—44no—
1214#121—82no—
1215#121—82no—
1216#121—82no—
1217#121—82no—
1218#121—82no—
1219#121—82no—
1220#121—82no—
1221C4×Q8—28no—
1222C4×Q8—44no—
1223C4×Q8—82no—
1224C4×D4—44no—
1225C4×D4—44no—
1226C4×D4—44no—
1227C4×D4—44no—
1228C4×D4—44no—
1229C4×D4—44no—
1230C4×D4—44no—
1231C4×D4—82no—
1232C4×D4—82no—
1233C4×D4—82no—
1234#117—42no—
1235#117—44no—
1236#117—44no—
1237#117—42no—
1238#117—44no—
1239#117—42no—
1240C2×C4⋊C4—42no—
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⋊C4C2411yescharacteristic
1254C2×C4⋊C4C2411yescharacteristic
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2411yescharacteristic
1321C2×C22⋊C4C2411yescharacteristic
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2411yescharacteristic
1325C2×C22⋊C4C2411yescharacteristic
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊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×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×C42—44no—
1401C2×C42—42no—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2411yescharacteristic
1409C2×C42C2412yes—
1410C2×C42C2411yescharacteristic
1411C2×C42C2411yescharacteristic
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2411yescharacteristic
1426#95C2411yescharacteristic
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#95C2411yescharacteristic
1458#95C2412yes—
1459#95C2412yes—
1460#95C2411yescharacteristic
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2411yescharacteristic
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#95C2411yescharacteristic
1520#95C2412yes—
1521#95C2411yescharacteristic
1522#95C2412yes—
1523#95C2412yes—
1524#95C2411yescharacteristic
1525#95C2411yescharacteristic
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538C24C2512yes—
1539C24C2512yes—
1540C24C2512yes—
1541C24C2512yes—
1542C24C2511yescharacteristic
1543#41—416no—
1544#41—88no—
1545#41—88no—
1546C2×Q8—24no—
1547C2×Q8—22no—
1548C2×Q8—22no—
1549C2×Q8—42no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—41no—
1553C2×Q8—42no—
1554C2×Q8—41no—
1555C2×Q8—41no—
1556C2×Q8—42no—
1557C2×Q8—42no—
1558C2×Q8—42no—
1559C2×Q8—41no—
1560C2×Q8—41no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—41no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—41no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—42no—
1572C2×Q8—42no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—88no—
1576C2×Q8H(5,𝔽2)14yes—
1577C2×D4—24no—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—22no—
1583C2×D4—24no—
1584C2×D4—42no—
1585C2×D4—41no—
1586C2×D4—42no—
1587C2×D4—41no—
1588C2×D4—41no—
1589C2×D4—42no—
1590C2×D4—42no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—42no—
1603C2×D4—42no—
1604C2×D4—42no—
1605C2×D4—42no—
1606C2×D4—42no—
1607C2×D4—42no—
1608C2×D4—42no—
1609C2×D4—42no—
1610C2×D4—41no—
1611C2×D4—42no—
1612C2×D4—42no—
1613C2×D4—42no—
1614C2×D4—42no—
1615C2×D4—42no—
1616C2×D4—41no—
1617C2×D4—42no—
1618C2×D4—42no—
1619C2×D4—42no—
1620C2×D4—42no—
1621C2×D4—42no—
1622C2×D4—42no—
1623C2×D4—42no—
1624C2×D4—42no—
1625C2×D4—42no—
1626C2×D4—42no—
1627C2×D4—42no—
1628C2×D4—42no—
1629C2×D4—42no—
1630C2×D4—42no—
1631C2×D4—42no—
1632C2×D4—42no—
1633C2×D4—42no—
1634C22×C4—22no—
1635C22×C4—22no—
1636C22×C4—22no—
1637C22×C4—22no—
1638C22×C4—22no—
1639C22×C4—24no—
1640C22×C4—24no—
1641C22×C4—24no—
1642C22×C4—24no—
1643C22×C4—42no—
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—42no—
1655C22×C4—42no—
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—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4—42no—
1674C22×C4—42no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—42no—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2512yes—
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2511yescharacteristic
1692C22×C4C2511yescharacteristic
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2512yes—
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2511yescharacteristic
1702C22×C4C2512yes—
1703C22×C4C2511yescharacteristic
1704C22×C4C2512yes—
1705C22×C4C2512yes—
1706C22×C4C2512yes—
1707C22×C4C2512yes—
1708C22×C4C2512yes—
1709C22×C4C2512yes—
1710C22×C4C2511yescharacteristic
1711C22×C4C2512yes—
1712C22×C4C2511yescharacteristic
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—24no—
1725C4⋊C4—41no—
1726C4⋊C4—41no—
1727C4⋊C4—41no—
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—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—41no—
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—41no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
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—
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—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
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—41no—
1809C22⋊C4—42no—
1810C22⋊C4—41no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—41no—
1814C22⋊C4—41no—
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—
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—
1872C42—24no—
1873C42—24no—
1874C42—24no—
1875C42—24no—
1876C42—24no—
1877C42—41no—
1878C42—42no—
1879C42—41no—
1880C42—42no—
1881C42—41no—
1882C42—41no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C23—21no—
1897C23—21no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
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#58512yes—
1929C23C2611yescharacteristic
1930Q8—44no—
1931Q8—44no—
1932Q8—82no—
1933Q8—82no—
1934Q8—84no—
1935Q8—84no—
1936Q8—82no—
1937Q8—161no—
1938Q8—162no—
1939Q8—162no—
1940Q8—162no—
1941D4—48no—
1942D4—44no—
1943D4—44no—
1944D4—84no—
1945D4—84no—
1946D4—84no—
1947D4—84no—
1948D4—84no—
1949D4—84no—
1950D4—84no—
1951D4—84no—
1952D4—82no—
1953D4—161no—
1954D4—162no—
1955D4—162no—
1956D4—162no—
1957D4—162no—
1958D4—162no—
1959D4—162no—
1960D4—162no—
1961C2×C4—28no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—21no—
1967C2×C4—21no—
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—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—21no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—21no—
1999C2×C4—21no—
2000C2×C4—21no—
2001C2×C4—22no—
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—22no—
2044C2×C4—22no—
2045C2×C4—48no—
2046C2×C4—84no—
2047C2×C4—84no—
2048C2×C4—82no—
2049C2×C4—82no—
2050C2×C4—84no—
2051C2×C4—84no—
2052C2×C4—84no—
2053C2×C4—84no—
2054C2×C4—84no—
2055C2×C4—84no—
2056C2×C4—162no—
2057C2×C4—162no—
2058C2×C4—162no—
2059C2×C4—162no—
2060C2×C4—162no—
2061C2×C4C2×H(5,𝔽2)12yes—
2062C2×C4C2×H(5,𝔽2)14yes—
2063C2×C4#58512yes—
2064C22—22no—
2065C22—22no—
2066C22—22no—
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—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—42no—
2095C22—42no—
2096C22—42no—
2097C22C22×H(5,𝔽2)11yescharacteristic
2098C22C2×#58511yescharacteristic
2099C22C2×#58511yescharacteristic
2100C22H(7,𝔽2)12yes—
2101C222−1+612yes—
2102C4—22no—
2103C4—22no—
2104C4—24no—
2105C4—41no—
2106C4—41no—
2107C4—41no—
2108C4—42no—
2109C4—41no—
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—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C2—42no—
2133C2—82no—
2134C2—82no—
2135C2—82no—
2136C2—82no—
2137C2#6282011yescharacteristic
2138C2#6288212yes—
2139C2#6304611yescharacteristic
2140C2#6305212yes—
2141C2#6306411yescharacteristic
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. #58013C2semidirect
2. #56263C2semidirect
3. #55246C2semidirect
4. #55236C2semidirect
5. #55222C2semidirect
6. #55075C2semidirect
7. #55010C2semidirect
8. #54998C2semidirect
9. #54811C2semidirect
10. #54783C2semidirect
11. #53822C2semidirect
12. #53779C2semidirect
13. #51427C2semidirect
14. #50484C2semidirect
15. #50476C2semidirect
16. #50104C2semidirect
17. #50100C2semidirect
18. #49592C2semidirect
19. #49591C2semidirect
20. #47797C2semidirect
21. #47768C2semidirect
22. #47659C2semidirect
23. #47534C2semidirect
24. #47354C2semidirect
25. #47205C2semidirect
26. #47176C2semidirect
27. #46349C2semidirect
28. #46261C2semidirect
29. #46214C2semidirect
30. #46099C2semidirect
31. #45755C2semidirect
32. #45583C2semidirect
33. #45545C2semidirect
34. #35307C2semidirect
35. #35195C2semidirect

Maximal subgroups

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

subgroupindex
#580132
#562632
#552462
#552362
#552222
#550752
#550102
#549982
#548112
#547832
#538222
#537792
#514272
#504842
#504762
#501042
#501002
#495922
#495912
#477972
#477682
#476592
#475342
#473542
#472052
#471762
#463492
#462612
#462142
#460992
#457552
#455832
#455452
#353072
#351952