Finite Group Databasebeta

← #9065631

Subgroups — #9065631

Order 512.

4304 conjugacy classes of subgroups.

The subgroup lattice has 2055 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58615C212yesmaximal, complemented
2#57775C212yesmaximal, complemented
3#57731C212yesmaximal, complemented
4#54546C212yesmaximal, complemented
5#53980C211yesmaximal, characteristic, complemented
6#51951C212yesmaximal, complemented
7#51911C212yesmaximal, complemented
8#51164C212yesmaximal, complemented
9#50963C212yesmaximal, complemented
10#50902C211yesmaximal, characteristic, complemented
11#50722C212yesmaximal, complemented
12#49086C212yesmaximal, complemented
13#48783C211yesmaximal, characteristic, complemented
14#48589C212yesmaximal, complemented
15#48216C212yesmaximal, complemented
16#45153C212yesmaximal, complemented
17#45110C212yesmaximal, complemented
18#44741C212yesmaximal, complemented
19#44448C211yesmaximal, characteristic, complemented
20#44197C212yesmaximal, complemented
21#43807C212yesmaximal, complemented
22#43802C212yesmaximal, complemented
23#43549C212yesmaximal, complemented
24#43403C211yesmaximal, characteristic, complemented
25#43044C212yesmaximal, complemented
26#42336C212yesmaximal, complemented
27#42239C212yesmaximal, complemented
28#41016C211yesmaximal, characteristic
29#40767C212yesmaximal, complemented
30#40738C212yesmaximal, complemented
31#36065C211yesmaximal, characteristic, complemented
32#35955C212yesmaximal, complemented
33#35901C212yesmaximal, complemented
34#35809C212yesmaximal, complemented
35#35783C212yesmaximal, complemented
36C2×#556C2211yescharacteristic
37C2×#554C2212yes—
38C2×#552C2211yescharacteristic
39C2×#544C2211yescharacteristic
40C2×#539C2211yescharacteristic
41#2844C2211yescharacteristic
42#2843C2212yes—
43#2843C2212yes—
44#2838C2212yes—
45#2838C2212yes—
46#2832C2212yes—
47#2829C2212yes—
48#2826C2211yescharacteristic
49#2815C2211yescharacteristic
50#2809C2212yes—
51#2807C2211yescharacteristic
52#2804C2211yescharacteristic
53#2803C2212yes—
54#2800C2212yes—
55#2800C2212yes—
56#2797C2212yes—
57#2796C2212yes—
58#2790C2212yes—
59#2789C2212yes—
60#2788C2212yes—
61#2787C2212yes—
62#2787C2212yes—
63#2787C2212yes—
64#2785C2211yescharacteristic
65#2783C2212yes—
66#2783C2212yes—
67#2782C2211yescharacteristic
68#2777C2212yes—
69#2777C2212yes—
70#2776C2212yes—
71#2775C2212yes—
72#2775C2212yes—
73#2771C2212yes—
74#2770C2212yes—
75#2770C2212yes—
76#2766C2212yes—
77#2765C2212yes—
78#2765C2212yes—
79#2765C2212yes—
80#2764C2212yes—
81#2763C2212yes—
82#2763C2212yes—
83#2762C2212yes—
84#2762C2212yes—
85#2760C2212yes—
86#2759C2212yes—
87#2759C2212yes—
88#2755C2212yes—
89#2754C2212yes—
90#2749C2212yes—
91#2748C2211yescharacteristic
92#2746C2212yes—
93#2745C2212yes—
94#2744C2212yes—
95#2744C2212yes—
96#2743C2212yes—
97#2742C2212yes—
98#2742C2211yescharacteristic
99#2738C2212yes—
100#2733C2212yes—
101#2732C2212yes—
102#2732C2212yes—
103#2732C2212yes—
104#2731C2212yes—
105#2729C2212yes—
106#2729C2212yes—
107#2729C2212yes—
108#2726C2212yes—
109#2725C2212yes—
110#2721C2212yes—
111#2721C2212yes—
112#2720C2212yes—
113#2720C2212yes—
114#2720C2212yes—
115#2720C2212yes—
116#2719C2212yes—
117#2719C2212yes—
118#2719C2212yes—
119#2718C2212yes—
120#2718C2212yes—
121#2716C2212yes—
122#2713C2212yes—
123#2713C2212yes—
124#2710C2212yes—
125#2710C2212yes—
126#2710C2212yes—
127#2707C2212yes—
128#2707C2212yes—
129#2706C2212yes—
130#2706C2212yes—
131#2704C2212yes—
132#2700C2212yes—
133#2700C2212yes—
134#2698C2212yes—
135#2698C2212yes—
136#2696C2212yes—
137#2694C2212yes—
138#2693C2212yes—
139#2692C2212yes—
140#2692C2212yes—
141#2689C2212yes—
142#2689C2212yes—
143#2687C2212yes—
144#2680C2212yes—
145#2677C2212yes—
146#2674C2212yes—
147#2674C2212yes—
148#2672C2212yes—
149#2666C2212yes—
150#2665C2212yes—
151#2665C2212yes—
152#2662C2212yes—
153#2662C2212yes—
154#2662C2212yes—
155#2661C2212yes—
156#2660C2211yescharacteristic
157#2655C2212yes—
158#2653C2212yes—
159#2651C2212yes—
160#2650C2212yes—
161#2650C2212yes—
162#2650C2212yes—
163#2649C2212yes—
164#2648C2212yes—
165#2645C2212yes—
166#2637C2212yes—
167#2635C2211yescharacteristic
168#2632C2212yes—
169#2631C2212yes—
170#2628C2212yes—
171#2624C2211yescharacteristic
172#2618C2212yes—
173#2612C2211yescharacteristic
174#2610C2212yes—
175#2610C2212yes—
176#2609C2212yes—
177#2607C2212yes—
178#2607C2211yescharacteristic
179#2604C2212yes—
180#2602C2212yes—
181#2601C2212yes—
182#2600C2212yes—
183#2598C2212yes—
184#2596C2212yes—
185#2594C2212yes—
186#2594C2212yes—
187#2594C2212yes—
188#2594C2212yes—
189#2593C2212yes—
190#2593C2212yes—
191#2593C2212yes—
192#2593C2212yes—
193#2591C2212yes—
194#2589C2212yes—
195#2588C2212yes—
196#2588C2212yes—
197#2588C2212yes—
198#2587C2212yes—
199#2586C2212yes—
200#2586C2212yes—
201#2585C2212yes—
202#2584C2212yes—
203#2579C2211yescharacteristic
204#2576C2212yes—
205#2574C2212yes—
206#2573C2212yes—
207#2573C2212yes—
208#2572C2212yes—
209#2570C2212yes—
210#2567C2212yes—
211#2566C2212yes—
212#2566C2212yes—
213#2565C2212yes—
214#2564C2211yescharacteristic
215#2563C2211yescharacteristic
216#2562C2211yescharacteristic
217#2560C2212yes—
218#2558C2212yes—
219#2558C2212yes—
220#2558C2212yes—
221#2557C2212yes—
222#2556C2212yes—
223#2554C2212yes—
224#2554C2212yes—
225#2554C2212yes—
226#2552C2212yes—
227#2550C2212yes—
228#2550C2212yes—
229#2550C2212yes—
230#2545C2212yes—
231#2538C2212yes—
232#2538C2212yes—
233#2536C2212yes—
234#2533C2212yes—
235#2533C2212yes—
236#2532C2212yes—
237#2532C2212yes—
238#2529C2212yes—
239#2529C2212yes—
240#2529C2212yes—
241#2529C2212yes—
242#2525C2212yes—
243#2525C2212yes—
244#2525C2212yes—
245#2524C2212yes—
246#2522C2212yes—
247#2521C2212yes—
248#2521C2212yes—
249#2519C2212yes—
250#2519C2212yes—
251#2519C2212yes—
252#2519C2212yes—
253#2519C2212yes—
254#2519C2212yes—
255#2516C2212yes—
256#2515C2212yes—
257#2515C2212yes—
258#2514C2212yes—
259#2514C2212yes—
260#2511C2212yes—
261#2511C2212yes—
262#2510C2212yes—
263#2509C2212yes—
264#2508C2212yes—
265#2508C2212yes—
266#2506C2212yes—
267#2503C2211yescharacteristic
268#2498C2212yes—
269#2498C2212yes—
270#2492C2212yes—
271#2488C2212yes—
272#2484C2212yes—
273#2484C2211yescharacteristic
274#2481C2212yes—
275#2481C2212yes—
276#2481C2212yes—
277#2477C2212yes—
278#2475C2212yes—
279#2475C2212yes—
280#2474C2212yes—
281#2473C2212yes—
282#2473C2212yes—
283#2473C2212yes—
284#2471C2212yes—
285#2469C2212yes—
286#2468C2212yes—
287#2468C2212yes—
288#2466C2212yes—
289#2466C2212yes—
290#2465C2212yes—
291#2463C2211yescharacteristic
292#2463C2212yes—
293#2462C2212yes—
294#2462C2212yes—
295#2462C2212yes—
296#2461C2212yes—
297#2461C2212yes—
298#2460C2212yes—
299#2459C2212yes—
300#2459C2212yes—
301#2457C2212yes—
302#2457C2212yes—
303#2457C2212yes—
304#2456C2212yes—
305#2455C2212yes—
306#2455C2211yescharacteristic
307#2455C2211yescharacteristic
308#2454C2212yes—
309#2452C2212yes—
310#2451C2212yes—
311#2449C2212yes—
312#2449C2212yes—
313#2447C2212yes—
314#2447C2212yes—
315#2446C2212yes—
316#2442C2212yes—
317#2441C2212yes—
318#2441C2212yes—
319#2441C2212yes—
320#2439C2212yes—
321#2438C2212yes—
322#2429C2212yes—
323#2429C2212yes—
324#2421C2212yes—
325#2413C2212yes—
326#2413C2212yes—
327#2402C2212yes—
328#2402C2212yes—
329#2401C2212yes—
330#2397C2211yescharacteristic
331#2396C2212yes—
332#2396C2212yes—
333#2396C2212yes—
334#2395C2212yes—
335#2392C2212yes—
336C2×#398C2211yescharacteristic
337#2379C2212yes—
338#2379C2212yes—
339#2378C2211yescharacteristic
340#2376C2211yescharacteristic
341#2374C2211yescharacteristic
342#2373C2212yes—
343#2370C2212yes—
344#2370C2212yes—
345#2369C2212yes—
346#2368C2211yescharacteristic
347#2367C2212yes—
348#2365C2212yes—
349#2365C2212yes—
350#2363C2212yes—
351#2362C2212yes—
352#2362C2212yes—
353#2361C2212yes—
354#2360C2212yes—
355#2359C2212yes—
356#2359C2212yes—
357#2357C2212yes—
358#2356C2212yes—
359#2355C2212yes—
360#2354C2212yes—
361#2353C2212yes—
362#2352C2212yes—
363D4×C4⋊C4C2212yes—
364#2347C2212yes—
365#2345C2212yes—
366#2344C2212yes—
367#2335C2212yes—
368#2334C2212yes—
369#2332C2212yes—
370#2332C2212yes—
371#2330C2212yes—
372#2326C2212yes—
373#2324C2212yes—
374#2322C2212yes—
375#2322C2212yes—
376#2322C2211yescharacteristic
377#2276C2211yescharacteristic
378#2274C2212yes—
379#556—44no—
380#554—48no—
381#552—44no—
382#544—44no—
383#539—44no—
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×#126C2312yes—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#125C2311yescharacteristic
396C2×#125C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#124C2312yes—
410C2×#123C2311yescharacteristic
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×D4C2311yescharacteristic
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×#117C2312yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C2×#117C2311yescharacteristic
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464#401C2312yes—
465#401C2312yes—
466#401C2312yes—
467#401C2312yes—
468#401C2312yes—
469#400C2312yes—
470#400C2311yescharacteristic
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#400C2311yescharacteristic
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#399C2311yescharacteristic
510#399C2311yescharacteristic
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2311yescharacteristic
516#399C2312yes—
517#399C2311yescharacteristic
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
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#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
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#395C2311yescharacteristic
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2311yescharacteristic
660#394C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2311yescharacteristic
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#392C2311yescharacteristic
677#392C2312yes—
678#392C2312yes—
679#392C2312yes—
680#392C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2311yescharacteristic
684#392C2312yes—
685#392C2311yescharacteristic
686#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#390C2312yes—
713#390C2311yescharacteristic
714#390C2311yescharacteristic
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
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#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#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#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2311yescharacteristic
939#386C2312yes—
940#386C2312yes—
941#386C2311yescharacteristic
942#386C2311yescharacteristic
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#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2311yescharacteristic
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2311yescharacteristic
977#385C2311yescharacteristic
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#384C2312yes—
993#384C2312yes—
994#384C2312yes—
995#384C2312yes—
996#384C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#382C2311yescharacteristic
1005#382C2311yescharacteristic
1006#382C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2312yes—
1017#381C2312yes—
1018#381C2312yes—
1019#381C2312yes—
1020#381C2312yes—
1021#381C2311yescharacteristic
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2311yescharacteristic
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2311yescharacteristic
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2311yescharacteristic
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
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×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2311yescharacteristic
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100#376C2311yescharacteristic
1101C2×#95C2311yescharacteristic
1102C2×#95C2312yes—
1103C22×Q8C2412yes—
1104C22×Q8C2412yes—
1105C22×Q8C2412yes—
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2411yescharacteristic
1110C22×D4C2412yes—
1111C22×D4C2412yes—
1112C22×D4C2412yes—
1113C22×D4C2412yes—
1114C22×D4C2411yescharacteristic
1115C22×D4C2412yes—
1116C22×D4C2411yescharacteristic
1117C22×D4C2411yescharacteristic
1118C22×D4C2412yes—
1119C23×C4C2412yes—
1120C23×C4C2412yes—
1121C23×C4C2411yescharacteristic
1122C23×C4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
1133C4⋊Q8—28no—
1134C4⋊Q8—44no—
1135C4⋊Q8—42no—
1136C4⋊Q8—44no—
1137C4⋊Q8—44no—
1138#126—44no—
1139#126—44no—
1140#126—44no—
1141#126—44no—
1142#126—44no—
1143#126—44no—
1144#125—44no—
1145#125—44no—
1146#125—42no—
1147#125—44no—
1148#125—44no—
1149#125—44no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#124—44no—
1155#124—44no—
1156#124—44no—
1157#124—44no—
1158#124—44no—
1159#123—24no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168C22⋊Q8—24no—
1169C22⋊Q8—28no—
1170C22⋊Q8—24no—
1171C22⋊Q8—28no—
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—
1181#121—28no—
1182#121—42no—
1183C4×Q8—24no—
1184C4×Q8—44no—
1185C4×Q8—44no—
1186C4×Q8—44no—
1187C4×Q8—44no—
1188C4×Q8—44no—
1189C4×D4—44no—
1190C4×D4—44no—
1191C4×D4—44no—
1192C4×D4—44no—
1193C4×D4—44no—
1194C4×D4—44no—
1195C4×D4—42no—
1196C4×D4—42no—
1197C4×D4—44no—
1198C4×D4—44no—
1199C4×D4—44no—
1200#117—44no—
1201#117—44no—
1202#117—44no—
1203#117—44no—
1204#117—44no—
1205#117—42no—
1206#117—44no—
1207C2×C4⋊C4—28no—
1208C2×C4⋊C4—42no—
1209C2×C4⋊C4—42no—
1210C2×C4⋊C4—42no—
1211C2×C4⋊C4—44no—
1212C2×C4⋊C4—44no—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2411yescharacteristic
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊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⋊C4C2411yescharacteristic
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊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⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2411yescharacteristic
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2411yescharacteristic
1377C2×C22⋊C4C2411yescharacteristic
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2411yescharacteristic
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×C42C2411yescharacteristic
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2411yescharacteristic
1412#95C2412yes—
1413#95C2412yes—
1414#95C2412yes—
1415#95C2411yescharacteristic
1416#95C2412yes—
1417#95C2412yes—
1418#95C2411yescharacteristic
1419#95C2411yescharacteristic
1420#95C2412yes—
1421#95C2412yes—
1422#95C2412yes—
1423#95C2412yes—
1424#95C2412yes—
1425#95C2411yescharacteristic
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#95C2411yescharacteristic
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2411yescharacteristic
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—
1526C24C2512yes—
1527C24C2511yescharacteristic
1528C24C2512yes—
1529C24C2511yescharacteristic
1530C2×Q8—24no—
1531C2×Q8—24no—
1532C2×Q8—42no—
1533C2×Q8—42no—
1534C2×Q8—42no—
1535C2×Q8—42no—
1536C2×Q8—42no—
1537C2×Q8—42no—
1538C2×Q8—42no—
1539C2×Q8—42no—
1540C2×Q8—42no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—41no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8H(5,𝔽2)14yes—
1549C2×D4—24no—
1550C2×D4—24no—
1551C2×D4—22no—
1552C2×D4—24no—
1553C2×D4—24no—
1554C2×D4—42no—
1555C2×D4—42no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—41no—
1560C2×D4—41no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—41no—
1569C2×D4—41no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C22×C4—24no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—22no—
1578C22×C4—24no—
1579C22×C4—22no—
1580C22×C4—24no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—41no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—42no—
1587C22×C4—41no—
1588C22×C4—42no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—41no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—41no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C42−1+414yes—
1611C22×C4C2512yes—
1612C22×C4C2512yes—
1613C22×C4C2512yes—
1614C22×C4C2512yes—
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2512yes—
1618C22×C4C2512yes—
1619C22×C4C2512yes—
1620C22×C4C2511yescharacteristic
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2511yescharacteristic
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2511yescharacteristic
1634C22×C4C2511yescharacteristic
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2511yescharacteristic
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C4⋊C4—24no—
1643C4⋊C4—22no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—22no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—24no—
1650C4⋊C4—24no—
1651C4⋊C4—24no—
1652C4⋊C4—22no—
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—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—24no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—42no—
1683C4⋊C4—42no—
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—41no—
1694C4⋊C4—42no—
1695C4⋊C4—41no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—41no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—41no—
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—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—41no—
1732C4⋊C4—41no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C22⋊C4—22no—
1738C22⋊C4—24no—
1739C22⋊C4—24no—
1740C22⋊C4—24no—
1741C22⋊C4—24no—
1742C22⋊C4—24no—
1743C22⋊C4—24no—
1744C22⋊C4—24no—
1745C22⋊C4—24no—
1746C22⋊C4—24no—
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—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—41no—
1761C22⋊C4—42no—
1762C22⋊C4—41no—
1763C22⋊C4—41no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—41no—
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—41no—
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—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C42—24no—
1808C42—24no—
1809C42—22no—
1810C42—24no—
1811C42—24no—
1812C42—24no—
1813C42—24no—
1814C42—24no—
1815C42—24no—
1816C42—24no—
1817C42—42no—
1818C42—42no—
1819C42—42no—
1820C42—42no—
1821C42—41no—
1822C42—41no—
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—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C23—21no—
1842C23—22no—
1843C23—22no—
1844C23—21no—
1845C23—22no—
1846C23—21no—
1847C23—22no—
1848C23—21no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—22no—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—21no—
1864C23C2×2−1+412yes—
1865C23C2611yescharacteristic
1866Q8—44no—
1867Q8—84no—
1868Q8—84no—
1869Q8—84no—
1870Q8—84no—
1871Q8—161no—
1872Q8—162no—
1873D4—48no—
1874D4—48no—
1875D4—84no—
1876D4—84no—
1877D4—82no—
1878D4—84no—
1879D4—82no—
1880D4—161no—
1881D4—162no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—21no—
1892C2×C4—22no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—21no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—21no—
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—22no—
1943C2×C4—22no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—21no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—44no—
1967C2×C4—48no—
1968C2×C4—84no—
1969C2×C4—82no—
1970C2×C4—82no—
1971C2×C4—84no—
1972C2×C4—84no—
1973C2×C4—82no—
1974C2×C4—84no—
1975C2×C4—84no—
1976C2×C4—162no—
1977C2×C4—161no—
1978C2×C4—162no—
1979C2×C4—161no—
1980C2×C4C2×H(5,𝔽2)14yes—
1981C2×C4C2×H(5,𝔽2)12yes—
1982C2×C4C2×2−1+414yes—
1983C2×C4#58514yes—
1984C2×C4#58514yes—
1985C22—24no—
1986C22—22no—
1987C22—41no—
1988C22—41no—
1989C22—42no—
1990C22—41no—
1991C22—42no—
1992C22—42no—
1993C22—42no—
1994C22—42no—
1995C22—41no—
1996C22—42no—
1997C22—42no—
1998C22—42no—
1999C22—42no—
2000C22—42no—
2001C22—42no—
2002C22—42no—
2003C22—41no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—42no—
2008C22—42no—
2009C22C22×H(5,𝔽2)11yescharacteristic
2010C22C22×2−1+411yescharacteristic
2011C22C2×#58512yes—
2012C22C2×#58512yes—
2013C222−1+611yescharacteristic
2014C4—22no—
2015C4—24no—
2016C4—24no—
2017C4—24no—
2018C4—24no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C4—42no—
2024C4—41no—
2025C4—42no—
2026C4—42no—
2027C4—42no—
2028C4—41no—
2029C4—41no—
2030C4—42no—
2031C4—42no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—41no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
2044C4—42no—
2045C2—42no—
2046C2—81no—
2047C2—82no—
2048C2—82no—
2049C2#6282211yescharacteristic
2050C2#6283112yes—
2051C2#6289311yescharacteristic
2052C2#6293412yes—
2053C2#6302211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#41016C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #58615C2semidirect
2. #57775C2semidirect
3. #57731C2semidirect
4. #54546C2semidirect
5. #53980C2semidirect
6. #51951C2semidirect
7. #51911C2semidirect
8. #51164C2semidirect
9. #50963C2semidirect
10. #50902C2semidirect
11. #50722C2semidirect
12. #49086C2semidirect
13. #48783C2semidirect
14. #48589C2semidirect
15. #48216C2semidirect
16. #45153C2semidirect
17. #45110C2semidirect
18. #44741C2semidirect
19. #44448C2semidirect
20. #44197C2semidirect
21. #43807C2semidirect
22. #43802C2semidirect
23. #43549C2semidirect
24. #43403C2semidirect
25. #43044C2semidirect
26. #42336C2semidirect
27. #42239C2semidirect
29. #40767C2semidirect
30. #40738C2semidirect
31. #36065C2semidirect
32. #35955C2semidirect
33. #35901C2semidirect
34. #35809C2semidirect
35. #35783C2semidirect

Maximal subgroups

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

subgroupindex
#586152
#577752
#577312
#545462
#539802
#519512
#519112
#511642
#509632
#509022
#507222
#490862
#487832
#485892
#482162
#451532
#451102
#447412
#444482
#441972
#438072
#438022
#435492
#434032
#430442
#423362
#422392
#410162
#407672
#407382
#360652
#359552
#359012
#358092
#357832