Finite Group Databasebeta

← #9435058

Subgroups — #9435058

Order 512.

4243 conjugacy classes of subgroups.

The subgroup lattice has 2070 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58601C212yesmaximal, complemented
2#56699C212yesmaximal, complemented
3#56471C212yesmaximal, complemented
4#55685C212yesmaximal, complemented
5#54911C212yesmaximal, complemented
6#54219C212yesmaximal, complemented
7#54177C212yesmaximal, complemented
8#54136C212yesmaximal, complemented
9#54134C212yesmaximal, complemented
10#53649C212yesmaximal, complemented
11#53574C212yesmaximal, complemented
12#53565C212yesmaximal, complemented
13#53208C211yesmaximal, characteristic, complemented
14#53196C212yesmaximal, complemented
15#51414C212yesmaximal, complemented
16#49591C212yesmaximal, complemented
17#49586C212yesmaximal, complemented
18#49142C212yesmaximal, complemented
19#48019C212yesmaximal, complemented
20#47975C212yesmaximal, complemented
21#47052C212yesmaximal, complemented
22#46674C212yesmaximal, complemented
23#46444C212yesmaximal, complemented
24#46132C211yesmaximal, characteristic, complemented
25#45664C212yesmaximal, complemented
26#39679C211yesmaximal, characteristic, complemented
27#39432C212yesmaximal
28#38923C211yesmaximal, characteristic, complemented
29#38448C212yesmaximal, complemented
30#38175C212yesmaximal, complemented
31#37747C211yesmaximal, characteristic
32#37157C211yesmaximal, characteristic, complemented
33#36819C212yesmaximal, complemented
34#36752C211yesmaximal, characteristic, complemented
35#36751C212yesmaximal, complemented
36C2×#563C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#542C2212yes—
39C2×#537C2211yescharacteristic
40C2×#529C2211yescharacteristic
41#2857C2212yes—
42#2857C2211yescharacteristic
43#2855C2212yes—
44#2854C2211yescharacteristic
45#2851C2212yes—
46#2851C2211yescharacteristic
47#2851C2211yescharacteristic
48#2851C2212yes—
49#2841C2212yes—
50#2839C2212yes—
51#2839C2212yes—
52#2839C2212yes—
53#2839C2212yes—
54#2839C2212yes—
55#2837C2212yes—
56#2836C2212yes—
57#2836C2212yes—
58#2831C2212yes—
59#2827C2212yes—
60#2827C2212yes—
61#2822C2211yescharacteristic
62#2822C2211yescharacteristic
63#2814C2212yes—
64#2809C2212yes—
65#2809C2212yes—
66#2809C2212yes—
67#2808C2211yescharacteristic
68#2806C2212yes—
69#2806C2212yes—
70#2806C2212yes—
71#2806C2212yes—
72#2806C2212yes—
73#2805C2212yes—
74#2805C2211yescharacteristic
75#2805C2212yes—
76#2805C2212yes—
77#2802C2212yes—
78#2802C2212yes—
79#2802C2212yes—
80#2802C2212yes—
81#2802C2212yes—
82#2799C2212yes—
83#2799C2212yes—
84#2799C2212yes—
85#2798C2212yes—
86#2792C2212yes—
87#2792C2212yes—
88#2791C2212yes—
89#2791C2212yes—
90#2791C2212yes—
91#2791C2212yes—
92#2791C2212yes—
93#2790C2212yes—
94#2790C2212yes—
95#2786C2212yes—
96#2786C2212yes—
97#2786C2212yes—
98#2784C2212yes—
99#2783C2212yes—
100#2781C2212yes—
101#2780C2212yes—
102#2779C2212yes—
103#2779C2212yes—
104#2774C2212yes—
105#2774C2212yes—
106#2774C2212yes—
107#2774C2212yes—
108#2774C2212yes—
109#2772C2212yes—
110#2767C2212yes—
111#2767C2212yes—
112#2767C2212yes—
113#2761C2212yes—
114#2761C2212yes—
115#2755C2212yes—
116#2755C2212yes—
117#2755C2212yes—
118#2755C2212yes—
119#2755C2212yes—
120#2755C2212yes—
121#2755C2212yes—
122#2755C2212yes—
123#2754C2212yes—
124#2754C2212yes—
125#2754C2212yes—
126#2750C2212yes—
127#2750C2212yes—
128#2748C2212yes—
129#2747C2212yes—
130#2747C2212yes—
131#2747C2212yes—
132#2747C2212yes—
133#2747C2212yes—
134#2747C2212yes—
135#2747C2212yes—
136#2744C2212yes—
137#2741C2212yes—
138#2741C2212yes—
139#2740C2212yes—
140#2740C2212yes—
141#2739C2212yes—
142#2739C2212yes—
143#2739C2212yes—
144#2734C2212yes—
145#2729C2212yes—
146#2729C2212yes—
147#2729C2212yes—
148#2729C2212yes—
149#2727C2211yescharacteristic
150#2726C2211yescharacteristic
151#2726C2212yes—
152#2726C2211yescharacteristic
153#2726C2212yes—
154#2726C2211yescharacteristic
155#2724C2211yescharacteristic
156#2722C2212yes—
157#2722C2212yes—
158#2722C2212yes—
159#2722C2212yes—
160#2722C2212yes—
161#2721C2212yes—
162#2719C2212yes—
163#2717C2212yes—
164#2716C2212yes—
165#2715C2212yes—
166#2715C2212yes—
167#2715C2212yes—
168#2713C2212yes—
169#2713C2212yes—
170#2713C2212yes—
171#2713C2212yes—
172#2713C2212yes—
173#2713C2212yes—
174#2708C2212yes—
175#2708C2212yes—
176#2707C2212yes—
177#2707C2212yes—
178#2704C2212yes—
179#2704C2212yes—
180#2704C2212yes—
181#2700C2212yes—
182#2698C2212yes—
183#2698C2212yes—
184#2698C2212yes—
185#2698C2212yes—
186#2695C2212yes—
187#2695C2212yes—
188#2695C2212yes—
189#2695C2212yes—
190#2695C2212yes—
191#2695C2212yes—
192#2694C2212yes—
193#2692C2212yes—
194#2691C2212yes—
195#2690C2212yes—
196#2690C2212yes—
197#2690C2212yes—
198#2690C2212yes—
199#2690C2212yes—
200#2689C2212yes—
201#2689C2212yes—
202#2689C2212yes—
203#2689C2212yes—
204#2689C2212yes—
205#2687C2212yes—
206#2687C2212yes—
207#2686C2212yes—
208#2686C2212yes—
209#2686C2212yes—
210#2683C2211yescharacteristic
211#2681C2212yes—
212#2681C2212yes—
213#2680C2212yes—
214#2677C2212yes—
215#2674C2212yes—
216#2667C2212yes—
217#2665C2212yes—
218#2664C2212yes—
219#2659C2211yescharacteristic
220#2659C2212yes—
221#2659C2211yescharacteristic
222#2652C2212yes—
223#2652C2212yes—
224#2652C2212yes—
225#2652C2212yes—
226#2652C2212yes—
227#2652C2212yes—
228#2650C2212yes—
229#2646C2211yescharacteristic
230#2646C2212yes—
231#2646C2211yescharacteristic
232#2639C2211yescharacteristic
233#2637C2212yes—
234#2637C2212yes—
235#2627C2211yescharacteristic
236#2625C2212yes—
237#2625C2212yes—
238#2621C2212yes—
239#2616C2212yes—
240#2609C2212yes—
241#2609C2212yes—
242#2608C2212yes—
243#2607C2212yes—
244#2590C2212yes—
245#2590C2212yes—
246#2588C2212yes—
247#2588C2212yes—
248#2588C2212yes—
249#2587C2212yes—
250#2587C2212yes—
251#2587C2212yes—
252#2585C2212yes—
253#2584C2212yes—
254#2583C2212yes—
255#2582C2211yescharacteristic
256#2581C2212yes—
257#2581C2212yes—
258#2579C2212yes—
259#2574C2212yes—
260#2569C2212yes—
261#2569C2212yes—
262#2569C2212yes—
263#2564C2212yes—
264#2562C2212yes—
265#2559C2212yes—
266#2559C2212yes—
267#2556C2212yes—
268#2551C2212yes—
269#2549C2212yes—
270#2549C2212yes—
271#2549C2212yes—
272#2549C2212yes—
273#2547C2212yes—
274#2546C2211yescharacteristic
275#2536C2212yes—
276#2522C2212yes—
277#2521C2212yes—
278#2521C2212yes—
279#2520C2212yes—
280#2519C2212yes—
281#2508C2212yes—
282#2505C2212yes—
283#2505C2212yes—
284#2498C2212yes—
285#2496C2212yes—
286#2492C2212yes—
287#2489C2212yes—
288#2487C2212yes—
289#2485C2212yes—
290#2485C2212yes—
291#2481C2212yes—
292#2478C2212yes—
293#2478C2212yes—
294#2478C2212yes—
295#2477C2212yes—
296#2477C2212yes—
297#2476C2212yes—
298#2475C2212yes—
299#2474C2212yes—
300#2470C2212yes—
301#2470C2212yes—
302#2468C2212yes—
303#2466C2212yes—
304#2466C2212yes—
305#2465C2212yes—
306#2465C2212yes—
307#2462C2212yes—
308#2460C2212yes—
309#2453C2212yes—
310#2451C2212yes—
311#2451C2212yes—
312#2451C2212yes—
313#2450C2212yes—
314#2450C2212yes—
315#2450C2212yes—
316#2449C2212yes—
317#2449C2212yes—
318#2446C2212yes—
319#2446C2212yes—
320#2444C2212yes—
321#2444C2212yes—
322#2442C2212yes—
323#2442C2212yes—
324#2440C2212yes—
325#2439C2212yes—
326#2438C2212yes—
327#2438C2212yes—
328#2438C2212yes—
329#2438C2212yes—
330#2438C2212yes—
331#2438C2212yes—
332#2438C2212yes—
333#2438C2212yes—
334#2438C2212yes—
335#2438C2212yes—
336#2432C2212yes—
337#2429C2212yes—
338#2429C2212yes—
339#2427C2212yes—
340#2427C2212yes—
341#2427C2212yes—
342#2425C2212yes—
343#2425C2212yes—
344#2425C2212yes—
345#2422C2212yes—
346#2421C2212yes—
347#2421C2212yes—
348#2419C2212yes—
349#2419C2212yes—
350#2417C2212yes—
351#2417C2212yes—
352#2415C2212yes—
353#2415C2212yes—
354#2406C2212yes—
355#2379C2211yescharacteristic
356#2379C2212yes—
357#2378C2212yes—
358#2360C2212yes—
359#2359C2212yes—
360D4×C4⋊C4C2211yescharacteristic
361#2339C2212yes—
362#2339C2212yes—
363#2332C2212yes—
364#2332C2212yes—
365#2329C2211yescharacteristic
366#2329C2212yes—
367#2329C2211yescharacteristic
368#2325C2211yescharacteristic
369#2323C2212yes—
370#2316C2212yes—
371#2316C2211yescharacteristic
372#2313C2212yes—
373#2313C2211yescharacteristic
374C4×C22⋊Q8C2211yescharacteristic
375C4×#121C2212yes—
376#2297C2212yes—
377C2×#387C2212yes—
378C2×#387C2211yescharacteristic
379C22×#41C2312yes—
380#563—44no—
381#556—44no—
382#542—48no—
383#537—44no—
384C2×C4⋊Q8C2311yescharacteristic
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390#529—44no—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#125C2311yescharacteristic
400C2×#125C2311yescharacteristic
401C2×#125C2311yescharacteristic
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#124C2311yescharacteristic
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#124C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
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×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2312yes—
458C2×#117C2312yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2312yes—
463C22×C42C2311yescharacteristic
464C22×C42C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#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#397C2312yes—
628#397C2312yes—
629#397C2312yes—
630#397C2312yes—
631#397C2312yes—
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#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
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#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#393C2312yes—
699#393C2312yes—
700#393C2312yes—
701#393C2312yes—
702#393C2312yes—
703#393C2312yes—
704#393C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2312yes—
719#391C2312yes—
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#391C2312yes—
729#391C2312yes—
730#391C2312yes—
731#391C2312yes—
732#391C2311yescharacteristic
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2312yes—
737#391C2312yes—
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#390C2311yescharacteristic
742#390C2311yescharacteristic
743#390C2312yes—
744#390C2312yes—
745#390C2312yes—
746#389C2311yescharacteristic
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
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#389C2311yescharacteristic
791#389C2311yescharacteristic
792#389C2311yescharacteristic
793#389C2311yescharacteristic
794#389C2311yescharacteristic
795#389C2311yescharacteristic
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2311yescharacteristic
800#389C2311yescharacteristic
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2312yes—
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#387C2312yes—
854#387C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#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#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#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#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#384C2311yescharacteristic
1015#384C2312yes—
1016#384C2312yes—
1017#382C2311yescharacteristic
1018#382C2311yescharacteristic
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2311yescharacteristic
1044#380C2312yes—
1045#380C2311yescharacteristic
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2311yescharacteristic
1057#380C2312yes—
1058#380C2312yes—
1059#380C2311yescharacteristic
1060#380C2312yes—
1061#380C2312yes—
1062#380C2311yescharacteristic
1063#380C2311yescharacteristic
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2311yescharacteristic
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×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C2×#95C2312yes—
1095C2×#95C2311yescharacteristic
1096C2×#95C2312yes—
1097C2×#95C2312yes—
1098C2×#95C2311yescharacteristic
1099C2×#95C2311yescharacteristic
1100C2×#95C2312yes—
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C2×#41—28no—
1104C2×#41—44no—
1105C2×#41—82no—
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2411yescharacteristic
1119C22×D4C2411yescharacteristic
1120C23×C4C2412yes—
1121C23×C4C2412yes—
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
1133C23×C4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2412yes—
1136C23×C4C2411yescharacteristic
1137C4⋊Q8—42no—
1138C4⋊Q8—44no—
1139C4⋊Q8—44no—
1140C4⋊Q8—82no—
1141C4⋊Q8—82no—
1142C4⋊Q8—82no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#126—82no—
1151#125—42no—
1152#125—42no—
1153#125—42no—
1154#125—82no—
1155#125—82no—
1156#125—82no—
1157#125—82no—
1158#125—82no—
1159#124—24no—
1160#124—28no—
1161#124—44no—
1162#124—44no—
1163#123—28no—
1164#123—44no—
1165#123—44no—
1166#123—82no—
1167#123—82no—
1168#123—82no—
1169C22⋊Q8—28no—
1170C22⋊Q8—28no—
1171C22⋊Q8—24no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—42no—
1181C22⋊Q8—82no—
1182C22⋊Q8—82no—
1183C22⋊Q8—82no—
1184C22⋊Q8—82no—
1185C22⋊Q8—82no—
1186C22⋊Q8—82no—
1187C22⋊Q8—82no—
1188#121—24no—
1189#121—28no—
1190#121—42no—
1191#121—44no—
1192#121—44no—
1193C4×Q8—42no—
1194C4×Q8—44no—
1195C4×Q8—42no—
1196C4×Q8—44no—
1197C4×Q8—82no—
1198C4×D4—24no—
1199C4×D4—44no—
1200C4×D4—44no—
1201C4×D4—82no—
1202C4×D4—82no—
1203C4×D4—82no—
1204C4×D4—82no—
1205#117—44no—
1206#117—44no—
1207#117—44no—
1208#117—82no—
1209#117—82no—
1210#117—82no—
1211C2×C4⋊C4—24no—
1212C2×C4⋊C4—28no—
1213C2×C4⋊C4—42no—
1214C2×C4⋊C4—82no—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2411yescharacteristic
1222C2×C4⋊C4C2411yescharacteristic
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2411yescharacteristic
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2411yescharacteristic
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2411yescharacteristic
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2411yescharacteristic
1291C2×C4⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2411yescharacteristic
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2411yescharacteristic
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2411yescharacteristic
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2411yescharacteristic
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×C42—42no—
1382C2×C42—82no—
1383C2×C42C2411yescharacteristic
1384C2×C42C2412yes—
1385C2×C42C2411yescharacteristic
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2411yescharacteristic
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2411yescharacteristic
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409#95C2412yes—
1410#95C2412yes—
1411#95C2412yes—
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2412yes—
1416#95C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2412yes—
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529C24C2512yes—
1530C24C2512yes—
1531C24C2511yescharacteristic
1532#41—816no—
1533C2×Q8—22no—
1534C2×Q8—24no—
1535C2×Q8—22no—
1536C2×Q8—24no—
1537C2×Q8—24no—
1538C2×Q8—24no—
1539C2×Q8—41no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—41no—
1547C2×Q8—42no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—42no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8—42no—
1555C2×Q8—42no—
1556C2×Q8—42no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—24no—
1563C2×D4—41no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—41no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—41no—
1572C2×D4—41no—
1573C2×D4—41no—
1574C2×D4H(5,𝔽2)14yes—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—22no—
1578C22×C4—24no—
1579C22×C4—22no—
1580C22×C4—24no—
1581C22×C4—24no—
1582C22×C4—22no—
1583C22×C4—24no—
1584C22×C4—24no—
1585C22×C4—22no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—42no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4—41no—
1593C22×C4—41no—
1594C22×C4—41no—
1595C22×C4—41no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—41no—
1606C22×C4—42no—
1607C22×C4—41no—
1608C22×C4—41no—
1609C22×C4—41no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—41no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—41no—
1617C22×C4—41no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—41no—
1621C22×C4—41no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—41no—
1625C22×C42−1+414yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2511yescharacteristic
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2511yescharacteristic
1651C22×C4C2511yescharacteristic
1652C22×C4C2512yes—
1653C22×C4C2511yescharacteristic
1654C22×C4C2511yescharacteristic
1655C22×C4C2511yescharacteristic
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C4⋊C4—24no—
1659C4⋊C4—22no—
1660C4⋊C4—22no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—41no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
1684C4⋊C4—42no—
1685C4⋊C4—41no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—41no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—41no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—41no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—41no—
1725C4⋊C4—42no—
1726C4⋊C4—41no—
1727C4⋊C4—41no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—41no—
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—41no—
1752C4⋊C4—41no—
1753C4⋊C4—41no—
1754C4⋊C4—41no—
1755C4⋊C4—41no—
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—42no—
1765C4⋊C4—41no—
1766C4⋊C4—41no—
1767C4⋊C4—41no—
1768C4⋊C4—42no—
1769C4⋊C42−1+414yes—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—42no—
1791C22⋊C4—42no—
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—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C42—22no—
1825C42—22no—
1826C42—24no—
1827C42—41no—
1828C42—41no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C23—21no—
1851C23—21no—
1852C23—22no—
1853C23—22no—
1854C23—21no—
1855C23—22no—
1856C23—22no—
1857C23—21no—
1858C23—21no—
1859C23—22no—
1860C23—21no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—22no—
1867C23—22no—
1868C23—22no—
1869C23C2×H(5,𝔽2)14yes—
1870C23C2×2−1+412yes—
1871C23C2611yescharacteristic
1872Q8—84no—
1873Q8—84no—
1874Q8—82no—
1875Q8—84no—
1876Q8—82no—
1877Q8—84no—
1878Q8—162no—
1879Q8—162no—
1880D4—44no—
1881D4—48no—
1882D4—48no—
1883D4—84no—
1884D4—84no—
1885D4—161no—
1886C2×C4—21no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—22no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—21no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—22no—
1924C2×C4—21no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—21no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—21no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—21no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—44no—
1979C2×C4—48no—
1980C2×C4—48no—
1981C2×C4—44no—
1982C2×C4—84no—
1983C2×C4—84no—
1984C2×C4—84no—
1985C2×C4—82no—
1986C2×C4—82no—
1987C2×C4—84no—
1988C2×C4—84no—
1989C2×C4—82no—
1990C2×C4—84no—
1991C2×C4—162no—
1992C2×C4—161no—
1993C2×C4—162no—
1994C2×C4—161no—
1995C2×C4C2×H(5,𝔽2)12yes—
1996C2×C4C2×2−1+414yes—
1997C2×C4C2×2−1+412yes—
1998C2×C4C2×2−1+414yes—
1999C22—24no—
2000C22—22no—
2001C22—22no—
2002C22—24no—
2003C22—24no—
2004C22—22no—
2005C22—42no—
2006C22—41no—
2007C22—42no—
2008C22—41no—
2009C22—41no—
2010C22—42no—
2011C22—41no—
2012C22—42no—
2013C22—42no—
2014C22—42no—
2015C22—42no—
2016C22—42no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22C22×H(5,𝔽2)11yescharacteristic
2021C22C22×2−1+411yescharacteristic
2022C22C22×2−1+411yescharacteristic
2023C22H(7,𝔽2)11yescharacteristic
2024C22H(7,𝔽2)11yescharacteristic
2025C222−1+611yescharacteristic
2026C222−1+611yescharacteristic
2027C4—24no—
2028C4—22no—
2029C4—24no—
2030C4—22no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—41no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C4—42no—
2047C4—42no—
2048C4—42no—
2049C4—42no—
2050C4—41no—
2051C4—41no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—41no—
2058C4—42no—
2059C2—44no—
2060C2—42no—
2061C2—82no—
2062C2#6286611yescharacteristic
2063C2#6287711yescharacteristic
2064C2#6289411yescharacteristic
2065C2#6291511yescharacteristic
2066C2#6294711yescharacteristic
2067C2#6297811yescharacteristic
2068C2#6305411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58601C2semidirect
2. #56699C2semidirect
3. #56471C2semidirect
4. #55685C2semidirect
5. #54911C2semidirect
6. #54219C2semidirect
7. #54177C2semidirect
8. #54136C2semidirect
9. #54134C2semidirect
10. #53649C2semidirect
11. #53574C2semidirect
12. #53565C2semidirect
13. #53208C2semidirect
14. #53196C2semidirect
15. #51414C2semidirect
16. #49591C2semidirect
17. #49586C2semidirect
18. #49142C2semidirect
19. #48019C2semidirect
20. #47975C2semidirect
21. #47052C2semidirect
22. #46674C2semidirect
23. #46444C2semidirect
24. #46132C2semidirect
25. #45664C2semidirect
26. #39679C2semidirect
28. #38923C2semidirect
29. #38448C2semidirect
30. #38175C2semidirect
32. #37157C2semidirect
33. #36819C2semidirect
34. #36752C2semidirect
35. #36751C2semidirect

Maximal subgroups

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

subgroupindex
#586012
#566992
#564712
#556852
#549112
#542192
#541772
#541362
#541342
#536492
#535742
#535652
#532082
#531962
#514142
#495912
#495862
#491422
#480192
#479752
#470522
#466742
#464442
#461322
#456642
#396792
#394322
#389232
#384482
#381752
#377472
#371572
#368192
#367522
#367512