Finite Group Databasebeta

← #8901632

Subgroups — #8901632

Order 512.

4276 conjugacy classes of subgroups.

The subgroup lattice has 2042 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58751C211yesmaximal, characteristic, complemented
2#58749C211yesmaximal, characteristic, complemented
3#58590C211yesmaximal, characteristic, complemented
4#58588C211yesmaximal, characteristic
5#55479C212yesmaximal, complemented
6#55370C212yesmaximal, complemented
7#54669C212yesmaximal, complemented
8#54547C212yesmaximal, complemented
9#51730C212yesmaximal, complemented
10#51716C212yesmaximal, complemented
11#51407C212yesmaximal, complemented
12#51396C212yesmaximal, complemented
13#50816C212yesmaximal, complemented
14#50770C212yesmaximal, complemented
15#47735C212yesmaximal, complemented
16#47521C212yesmaximal, complemented
17#47454C212yesmaximal, complemented
18#47208C212yesmaximal, complemented
19#47148C212yesmaximal, complemented
20#47146C212yesmaximal, complemented
21#46938C212yesmaximal, complemented
22#46848C212yesmaximal, complemented
23#46403C212yesmaximal, complemented
24#40329C212yesmaximal, complemented
25#40027C212yesmaximal, complemented
26#39701C212yesmaximal, complemented
27#39661C212yesmaximal, complemented
28#38817C212yesmaximal, complemented
29#38797C212yesmaximal, complemented
30#37369C212yesmaximal, complemented
31#36968C211yesmaximal, characteristic, complemented
32#35640C211yesmaximal, characteristic, complemented
33#35606C212yesmaximal, complemented
34#35497C212yesmaximal, complemented
35#35453C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#542C2212yes—
38C2×#539C2211yescharacteristic
39C22×#125C2211yescharacteristic
40C2×#520C2211yescharacteristic
41#2863C2212yes—
42#2859C2212yes—
43#2855C2211yescharacteristic
44#2854C2211yescharacteristic
45#2845C2212yes—
46#2841C2212yes—
47#2837C2212yes—
48#2837C2212yes—
49#2836C2212yes—
50#2833C2211yescharacteristic
51#2832C2211yescharacteristic
52#2829C2212yes—
53#2823C2211yescharacteristic
54#2823C2211yescharacteristic
55#2814C2212yes—
56#2809C2212yes—
57#2807C2212yes—
58#2805C2212yes—
59#2802C2212yes—
60#2802C2212yes—
61#2802C2212yes—
62#2802C2212yes—
63#2799C2211yescharacteristic
64#2799C2211yescharacteristic
65#2798C2212yes—
66#2795C2212yes—
67#2795C2211yescharacteristic
68#2794C2211yescharacteristic
69#2793C2212yes—
70#2792C2211yescharacteristic
71#2792C2212yes—
72#2792C2212yes—
73#2791C2212yes—
74#2790C2212yes—
75#2787C2212yes—
76#2783C2212yes—
77#2783C2212yes—
78#2783C2212yes—
79#2783C2212yes—
80#2783C2212yes—
81#2780C2212yes—
82#2777C2212yes—
83#2777C2212yes—
84#2777C2212yes—
85#2776C2212yes—
86#2774C2212yes—
87#2773C2212yes—
88#2772C2212yes—
89#2772C2212yes—
90#2772C2212yes—
91#2771C2212yes—
92#2771C2212yes—
93#2768C2212yes—
94#2768C2212yes—
95#2768C2212yes—
96#2767C2212yes—
97#2766C2212yes—
98#2765C2212yes—
99#2761C2212yes—
100#2761C2212yes—
101#2755C2212yes—
102#2753C2212yes—
103#2745C2212yes—
104#2744C2212yes—
105#2744C2212yes—
106#2743C2212yes—
107#2741C2212yes—
108#2738C2212yes—
109#2738C2212yes—
110#2737C2212yes—
111#2734C2212yes—
112#2734C2211yescharacteristic
113#2733C2211yescharacteristic
114#2732C2212yes—
115#2731C2212yes—
116#2729C2212yes—
117#2729C2212yes—
118#2726C2212yes—
119#2726C2212yes—
120#2726C2212yes—
121#2726C2212yes—
122#2725C2212yes—
123#2725C2212yes—
124#2725C2212yes—
125#2725C2212yes—
126#2725C2212yes—
127#2725C2212yes—
128#2725C2212yes—
129#2722C2212yes—
130#2721C2212yes—
131#2720C2212yes—
132#2720C2212yes—
133#2719C2212yes—
134#2717C2212yes—
135#2716C2212yes—
136#2716C2212yes—
137#2715C2212yes—
138#2713C2212yes—
139#2713C2212yes—
140#2713C2212yes—
141#2707C2212yes—
142#2707C2212yes—
143#2707C2212yes—
144#2707C2212yes—
145#2707C2212yes—
146#2706C2212yes—
147#2705C2212yes—
148#2705C2212yes—
149#2704C2212yes—
150#2704C2212yes—
151#2704C2212yes—
152#2704C2212yes—
153#2704C2212yes—
154#2704C2212yes—
155#2704C2212yes—
156#2700C2212yes—
157#2700C2212yes—
158#2698C2212yes—
159#2698C2212yes—
160#2695C2212yes—
161#2695C2212yes—
162#2694C2212yes—
163#2694C2212yes—
164#2694C2212yes—
165#2692C2212yes—
166#2689C2212yes—
167#2686C2212yes—
168#2682C2212yes—
169#2680C2212yes—
170#2680C2211yescharacteristic
171#2677C2212yes—
172#2674C2212yes—
173#2674C2212yes—
174#2674C2212yes—
175#2672C2212yes—
176#2667C2212yes—
177#2666C2212yes—
178#2666C2212yes—
179#2666C2212yes—
180#2666C2212yes—
181#2666C2212yes—
182#2664C2212yes—
183#2663C2212yes—
184#2652C2212yes—
185#2652C2212yes—
186#2650C2212yes—
187#2630C2212yes—
188#2629C2212yes—
189#2627C2211yescharacteristic
190#2625C2212yes—
191#2618C2211yescharacteristic
192#2608C2212yes—
193#2602C2212yes—
194#2602C2212yes—
195#2596C2212yes—
196#2596C2212yes—
197#2593C2212yes—
198#2590C2212yes—
199#2590C2212yes—
200#2590C2212yes—
201#2590C2212yes—
202#2589C2212yes—
203#2586C2212yes—
204#2586C2211yescharacteristic
205#2585C2212yes—
206#2583C2212yes—
207#2583C2212yes—
208#2583C2211yescharacteristic
209#2583C2211yescharacteristic
210#2579C2212yes—
211#2579C2212yes—
212#2577C2212yes—
213#2576C2212yes—
214#2575C2212yes—
215#2574C2212yes—
216#2574C2212yes—
217#2573C2212yes—
218#2573C2212yes—
219#2572C2211yescharacteristic
220#2571C2211yescharacteristic
221#2570C2212yes—
222#2570C2212yes—
223#2566C2212yes—
224#2566C2212yes—
225#2558C2212yes—
226#2558C2212yes—
227#2557C2212yes—
228#2556C2212yes—
229#2556C2212yes—
230#2556C2212yes—
231#2554C2212yes—
232#2554C2212yes—
233#2553C2212yes—
234#2553C2212yes—
235#2552C2212yes—
236#2552C2212yes—
237#2552C2212yes—
238#2552C2212yes—
239#2551C2211yescharacteristic
240#2550C2212yes—
241#2550C2212yes—
242#2550C2212yes—
243#2550C2212yes—
244#2550C2212yes—
245#2550C2212yes—
246#2546C2212yes—
247#2545C2212yes—
248#2525C2212yes—
249#2525C2212yes—
250#2525C2212yes—
251#2522C2212yes—
252#2521C2212yes—
253#2520C2212yes—
254#2520C2212yes—
255#2520C2212yes—
256#2520C2212yes—
257#2519C2212yes—
258#2519C2212yes—
259#2519C2212yes—
260#2518C2212yes—
261#2516C2212yes—
262#2515C2212yes—
263#2515C2212yes—
264#2513C2212yes—
265#2513C2212yes—
266#2512C2212yes—
267#2512C2212yes—
268#2508C2212yes—
269#2507C2212yes—
270#2507C2212yes—
271#2507C2212yes—
272#2506C2212yes—
273#2502C2212yes—
274#2502C2211yescharacteristic
275#2502C2211yescharacteristic
276#2497C2212yes—
277#2497C2212yes—
278#2497C2212yes—
279#2497C2212yes—
280#2486C2212yes—
281#2486C2212yes—
282#2484C2211yescharacteristic
283#2484C2211yescharacteristic
284#2479C2212yes—
285#2479C2212yes—
286#2479C2212yes—
287#2478C2212yes—
288#2478C2212yes—
289#2478C2212yes—
290#2478C2212yes—
291#2478C2212yes—
292#2476C2212yes—
293#2475C2212yes—
294#2475C2212yes—
295#2475C2212yes—
296#2475C2212yes—
297#2474C2212yes—
298#2474C2212yes—
299#2474C2212yes—
300#2474C2212yes—
301#2473C2212yes—
302#2473C2212yes—
303#2471C2212yes—
304#2469C2212yes—
305#2468C2212yes—
306#2468C2212yes—
307#2466C2212yes—
308#2462C2212yes—
309#2462C2212yes—
310#2462C2212yes—
311#2462C2212yes—
312#2462C2212yes—
313#2461C2212yes—
314#2461C2212yes—
315#2461C2212yes—
316#2460C2212yes—
317#2460C2212yes—
318#2453C2212yes—
319#2451C2212yes—
320#2451C2212yes—
321#2447C2212yes—
322#2447C2212yes—
323#2443C2212yes—
324#2442C2212yes—
325#2441C2212yes—
326#2440C2212yes—
327#2440C2212yes—
328#2440C2212yes—
329#2439C2212yes—
330#2432C2212yes—
331#2429C2212yes—
332#2429C2212yes—
333#2423C2212yes—
334#2422C2212yes—
335#2417C2212yes—
336#2415C2212yes—
337#2415C2212yes—
338#2413C2212yes—
339#2413C2212yes—
340#2413C2212yes—
341#2413C2212yes—
342#2407C2212yes—
343#2406C2211yescharacteristic
344#2406C2211yescharacteristic
345#2382C2212yes—
346#2378C2212yes—
347#2374C2212yes—
348#2370C2212yes—
349#2370C2212yes—
350#2370C2212yes—
351#2369C2212yes—
352#2345C2212yes—
353#2336C2212yes—
354#2336C2212yes—
355#2335C2212yes—
356#2335C2212yes—
357#2335C2212yes—
358#2334C2212yes—
359#2334C2212yes—
360#2334C2212yes—
361#2334C2212yes—
362#2334C2212yes—
363#2323C2212yes—
364#2323C2212yes—
365#2323C2212yes—
366#2322C2212yes—
367#2322C2212yes—
368#2317C2212yes—
369#2316C2211yescharacteristic
370#2313C2211yescharacteristic
371C4×C4⋊Q8C2212yes—
372C4×#125C2212yes—
373C4×#126C2212yes—
374C4×#123C2212yes—
375#2296C2212yes—
376#2293C2212yes—
377#2293C2212yes—
378#2274C2211yescharacteristic
379C22×#41C2311yescharacteristic
380#544—44no—
381#542—48no—
382#539—44no—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#125—44no—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#124C2312yes—
413C2×#124C2312yes—
414C2×#124C2312yes—
415C2×#124C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×#121C2311yescharacteristic
439C2×#121C2312yes—
440#520—44no—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2311yescharacteristic
454C2×#117C2312yes—
455C2×#117C2312yes—
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2311yescharacteristic
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C4⋊C4C2311yescharacteristic
464C22×C42C2311yescharacteristic
465#401C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2311yescharacteristic
471#400C2312yes—
472#400C2311yescharacteristic
473#400C2311yescharacteristic
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#400C2311yescharacteristic
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#399C2312yes—
498#399C2312yes—
499#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#398C2311yescharacteristic
509#398C2311yescharacteristic
510#398C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2311yescharacteristic
522#398C2312yes—
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#398C2311yescharacteristic
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#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
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#395C2312yes—
640#395C2312yes—
641#395C2311yescharacteristic
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2311yescharacteristic
650#395C2312yes—
651#395C2312yes—
652#395C2311yescharacteristic
653#395C2312yes—
654#395C2311yescharacteristic
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#394C2311yescharacteristic
662#394C2312yes—
663#394C2311yescharacteristic
664#394C2312yes—
665#394C2311yescharacteristic
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2311yescharacteristic
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2311yescharacteristic
692#391C2312yes—
693#391C2312yes—
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2311yescharacteristic
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2312yes—
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#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#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
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#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
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#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#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#384C2312yes—
1004#384C2311yescharacteristic
1005#384C2312yes—
1006#384C2311yescharacteristic
1007#384C2311yescharacteristic
1008#384C2312yes—
1009#384C2312yes—
1010#384C2312yes—
1011#384C2312yes—
1012#384C2311yescharacteristic
1013#383C2312yes—
1014#383C2312yes—
1015#383C2312yes—
1016#383C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#382C2312yes—
1022#382C2312yes—
1023#382C2312yes—
1024#382C2312yes—
1025#382C2312yes—
1026#382C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#381C2311yescharacteristic
1030#381C2311yescharacteristic
1031#381C2312yes—
1032#381C2312yes—
1033#381C2312yes—
1034#381C2312yes—
1035#381C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2311yescharacteristic
1041#380C2311yescharacteristic
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
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×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2311yescharacteristic
1098C4×C22⋊C4C2311yescharacteristic
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C43C2312yes—
1103C2×#41—42no—
1104C2×#41—44no—
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2411yescharacteristic
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2411yescharacteristic
1116C22×D4C2411yescharacteristic
1117C22×D4C2412yes—
1118C23×C4C2411yescharacteristic
1119C23×C4C2411yescharacteristic
1120C23×C4C2411yescharacteristic
1121C23×C4C2411yescharacteristic
1122C23×C4C2411yescharacteristic
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C4⋊Q8—44no—
1132C4⋊Q8—44no—
1133C4⋊Q8—44no—
1134C4⋊Q8—44no—
1135C4⋊Q8—44no—
1136C4⋊Q8—82no—
1137#126—28no—
1138#126—28no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—82no—
1143#126—82no—
1144#126—82no—
1145#125—28no—
1146#125—44no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#125—82no—
1158#125—82no—
1159#124—44no—
1160#124—44no—
1161#124—44no—
1162#124—82no—
1163#123—28no—
1164#123—28no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169#123—44no—
1170#123—82no—
1171#123—82no—
1172#123—82no—
1173C22⋊Q8—28no—
1174C22⋊Q8—42no—
1175C22⋊Q8—42no—
1176C22⋊Q8—42no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—82no—
1184C22⋊Q8—82no—
1185#121—44no—
1186#121—42no—
1187C4×Q8—44no—
1188C4×Q8—44no—
1189C4×Q8—82no—
1190C4×D4—28no—
1191C4×D4—44no—
1192C4×D4—44no—
1193C4×D4—44no—
1194C4×D4—44no—
1195#117—28no—
1196#117—44no—
1197#117—44no—
1198#117—42no—
1199#117—44no—
1200#117—82no—
1201#117—82no—
1202C2×C4⋊C4—24no—
1203C2×C4⋊C4—24no—
1204C2×C4⋊C4—24no—
1205C2×C4⋊C4—44no—
1206C2×C4⋊C4—44no—
1207C2×C4⋊C4—42no—
1208C2×C4⋊C4—42no—
1209C2×C4⋊C4—42no—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊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⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2411yescharacteristic
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2411yescharacteristic
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2411yescharacteristic
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2411yescharacteristic
1273C2×C4⋊C4C2411yescharacteristic
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2411yescharacteristic
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊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×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
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×C42—42no—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2411yescharacteristic
1408C2×C42C2411yescharacteristic
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2411yescharacteristic
1413C2×C42C2412yes—
1414C2×C42C2411yescharacteristic
1415C2×C42C2412yes—
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#95C2411yescharacteristic
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2411yescharacteristic
1500#95C2412yes—
1501#95C2412yes—
1502#95C2411yescharacteristic
1503#95C2411yescharacteristic
1504#95C2411yescharacteristic
1505#95C2411yescharacteristic
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2411yescharacteristic
1512#95C2412yes—
1513#95C2411yescharacteristic
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—
1528C24C2512yes—
1529C24C2512yes—
1530C24C2511yescharacteristic
1531#41—416no—
1532C2×Q8—24no—
1533C2×Q8—24no—
1534C2×Q8—24no—
1535C2×Q8—41no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—41no—
1541C2×Q8—42no—
1542C2×Q8—41no—
1543C2×Q8—41no—
1544C2×Q8—42no—
1545C2×Q8—41no—
1546C2×Q8—42no—
1547C2×Q8—41no—
1548C2×Q8—41no—
1549C2×Q8—41no—
1550C2×Q8—42no—
1551C2×D4—24no—
1552C2×D4—24no—
1553C2×D4—24no—
1554C2×D4—24no—
1555C2×D4—41no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—41no—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C22×C4—22no—
1568C22×C4—24no—
1569C22×C4—22no—
1570C22×C4—22no—
1571C22×C4—22no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—24no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—42no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—41no—
1590C22×C4—41no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—41no—
1594C22×C4—41no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4H(5,𝔽2)14yes—
1602C22×C4C2512yes—
1603C22×C4C2512yes—
1604C22×C4C2512yes—
1605C22×C4C2512yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2512yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2511yescharacteristic
1618C22×C4C2512yes—
1619C22×C4C2511yescharacteristic
1620C22×C4C2512yes—
1621C22×C4C2512yes—
1622C22×C4C2511yescharacteristic
1623C22×C4C2511yescharacteristic
1624C22×C4C2511yescharacteristic
1625C22×C4C2511yescharacteristic
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C4⋊C4—24no—
1635C4⋊C4—24no—
1636C4⋊C4—24no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—24no—
1640C4⋊C4—24no—
1641C4⋊C4—24no—
1642C4⋊C4—24no—
1643C4⋊C4—24no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—24no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—24no—
1653C4⋊C4—24no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—41no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—41no—
1674C4⋊C4—41no—
1675C4⋊C4—41no—
1676C4⋊C4—41no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—41no—
1684C4⋊C4—42no—
1685C4⋊C4—42no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—41no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—41no—
1707C4⋊C4—41no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—41no—
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—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⋊C42−1+418yes—
1747C22⋊C4—24no—
1748C22⋊C4—24no—
1749C22⋊C4—24no—
1750C22⋊C4—24no—
1751C22⋊C4—24no—
1752C22⋊C4—24no—
1753C22⋊C4—24no—
1754C22⋊C4—24no—
1755C22⋊C4—24no—
1756C22⋊C4—24no—
1757C22⋊C4—24no—
1758C22⋊C4—24no—
1759C22⋊C4—24no—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—42no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—42no—
1781C22⋊C4—42no—
1782C22⋊C4—42no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
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—
1805C42—24no—
1806C42—24no—
1807C42—24no—
1808C42—24no—
1809C42—24no—
1810C42—24no—
1811C42—24no—
1812C42—42no—
1813C42—42no—
1814C42—41no—
1815C42—42no—
1816C42—42no—
1817C42—41no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—41no—
1836C42—41no—
1837C42—42no—
1838C42—42no—
1839C23—22no—
1840C23—22no—
1841C23—21no—
1842C23—21no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—22no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23C2×H(5,𝔽2)12yes—
1858C23C2611yescharacteristic
1859Q8—44no—
1860Q8—84no—
1861Q8—84no—
1862Q8—161no—
1863Q8—162no—
1864Q8—161no—
1865Q8—161no—
1866D4—48no—
1867D4—44no—
1868D4—84no—
1869D4—84no—
1870D4—161no—
1871D4—162no—
1872C2×C4—28no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—21no—
1890C2×C4—22no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—21no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—21no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—21no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—21no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—44no—
1961C2×C4—48no—
1962C2×C4—44no—
1963C2×C4—84no—
1964C2×C4—84no—
1965C2×C4—84no—
1966C2×C4—82no—
1967C2×C4—82no—
1968C2×C4—82no—
1969C2×C4—82no—
1970C2×C4—162no—
1971C2×C4—162no—
1972C2×C4C2×H(5,𝔽2)14yes—
1973C2×C4C2×2−1+414yes—
1974C2×C4C2×2−1+414yes—
1975C2×C4C2×2−1+414yes—
1976C2×C4#58514yes—
1977C22—22no—
1978C22—22no—
1979C22—22no—
1980C22—42no—
1981C22—42no—
1982C22—42no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22—42no—
1987C22—42no—
1988C22—42no—
1989C22—42no—
1990C22—42no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—42no—
1996C22C22×H(5,𝔽2)11yescharacteristic
1997C22C22×2−1+412yes—
1998C22C2×#58512yes—
1999C22H(7,𝔽2)11yescharacteristic
2000C222−1+611yescharacteristic
2001C4—24no—
2002C4—24no—
2003C4—24no—
2004C4—24no—
2005C4—24no—
2006C4—41no—
2007C4—41no—
2008C4—42no—
2009C4—42no—
2010C4—41no—
2011C4—41no—
2012C4—42no—
2013C4—42no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—41no—
2019C4—41no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—42no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—42no—
2029C4—42no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C2—42no—
2034C2—82no—
2035C2—82no—
2036C2#6282111yescharacteristic
2037C2#6283311yescharacteristic
2038C2#6286611yescharacteristic
2039C2#6295012yes—
2040C2#6295212yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#58588C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58751C2semidirect
2. #58749C2semidirect
3. #58590C2semidirect
5. #55479C2semidirect
6. #55370C2semidirect
7. #54669C2semidirect
8. #54547C2semidirect
9. #51730C2semidirect
10. #51716C2semidirect
11. #51407C2semidirect
12. #51396C2semidirect
13. #50816C2semidirect
14. #50770C2semidirect
15. #47735C2semidirect
16. #47521C2semidirect
17. #47454C2semidirect
18. #47208C2semidirect
19. #47148C2semidirect
20. #47146C2semidirect
21. #46938C2semidirect
22. #46848C2semidirect
23. #46403C2semidirect
24. #40329C2semidirect
25. #40027C2semidirect
26. #39701C2semidirect
27. #39661C2semidirect
28. #38817C2semidirect
29. #38797C2semidirect
30. #37369C2semidirect
31. #36968C2semidirect
32. #35640C2semidirect
33. #35606C2semidirect
34. #35497C2semidirect
35. #35453C2semidirect

Maximal subgroups

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

subgroupindex
#587512
#587492
#585902
#585882
#554792
#553702
#546692
#545472
#517302
#517162
#514072
#513962
#508162
#507702
#477352
#475212
#474542
#472082
#471482
#471462
#469382
#468482
#464032
#403292
#400272
#397012
#396612
#388172
#387972
#373692
#369682
#356402
#356062
#354972
#354532