Finite Group Databasebeta

← #8757606

Subgroups — #8757606

Order 512.

4112 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57922C212yesmaximal, complemented
2#57830C212yesmaximal, complemented
3#57813C212yesmaximal, complemented
4#57095C212yesmaximal, complemented
5#57030C212yesmaximal, complemented
6#56980C212yesmaximal, complemented
7#56955C212yesmaximal, complemented
8#56849C212yesmaximal, complemented
9#54547C212yesmaximal, complemented
10#54311C212yesmaximal, complemented
11#54096C212yesmaximal, complemented
12#54088C212yesmaximal, complemented
13#52076C211yesmaximal, characteristic
14#52074C212yesmaximal, complemented
15#52072C211yesmaximal, characteristic, complemented
16#51986C212yesmaximal, complemented
17#51671C212yesmaximal, complemented
18#51666C212yesmaximal, complemented
19#51540C212yesmaximal, complemented
20#47527C212yesmaximal, complemented
21#47484C212yesmaximal, complemented
22#47460C212yesmaximal, complemented
23#46782C212yesmaximal, complemented
24#46772C212yesmaximal, complemented
25#46455C211yesmaximal, characteristic, complemented
26#46453C211yesmaximal, characteristic, complemented
27#46348C211yesmaximal, characteristic, complemented
28#46259C212yesmaximal, complemented
29#46211C212yesmaximal, complemented
30#46205C211yesmaximal, characteristic, complemented
31#45753C212yesmaximal, complemented
32#45555C212yesmaximal, complemented
33#45545C212yesmaximal, complemented
34#35307C211yesmaximal, characteristic, complemented
35#35205C212yesmaximal, complemented
36C2×#563C2211yescharacteristic
37C2×Q82C2211yescharacteristic
38C2×#541C2212yes—
39C2×#536C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41#2855C2212yes—
42#2855C2212yes—
43#2852C2212yes—
44#2852C2212yes—
45#2851C2212yes—
46#2851C2212yes—
47#2841C2212yes—
48#2839C2212yes—
49#2838C2212yes—
50#2838C2212yes—
51#2838C2212yes—
52#2838C2212yes—
53#2838C2212yes—
54#2837C2212yes—
55#2837C2212yes—
56#2836C2212yes—
57#2833C2212yes—
58#2832C2212yes—
59#2831C2212yes—
60#2831C2212yes—
61#2831C2212yes—
62#2830C2212yes—
63#2829C2212yes—
64#2817C2211yescharacteristic
65#2816C2211yescharacteristic
66#2809C2211yescharacteristic
67#2809C2212yes—
68#2809C2211yescharacteristic
69#2808C2212yes—
70#2805C2212yes—
71#2802C2212yes—
72#2799C2212yes—
73#2799C2212yes—
74#2798C2212yes—
75#2798C2212yes—
76#2797C2212yes—
77#2796C2212yes—
78#2794C2212yes—
79#2793C2212yes—
80#2793C2212yes—
81#2793C2212yes—
82#2792C2212yes—
83#2792C2212yes—
84#2791C2212yes—
85#2790C2212yes—
86#2790C2212yes—
87#2789C2212yes—
88#2789C2212yes—
89#2788C2212yes—
90#2788C2212yes—
91#2787C2212yes—
92#2787C2212yes—
93#2786C2212yes—
94#2784C2212yes—
95#2783C2212yes—
96#2783C2212yes—
97#2781C2212yes—
98#2780C2212yes—
99#2778C2212yes—
100#2777C2212yes—
101#2776C2212yes—
102#2776C2212yes—
103#2776C2212yes—
104#2773C2212yes—
105#2773C2212yes—
106#2772C2212yes—
107#2771C2212yes—
108#2771C2212yes—
109#2770C2212yes—
110#2769C2212yes—
111#2768C2212yes—
112#2766C2212yes—
113#2766C2212yes—
114#2765C2212yes—
115#2765C2212yes—
116#2765C2212yes—
117#2764C2212yes—
118#2764C2212yes—
119#2763C2212yes—
120#2763C2212yes—
121#2763C2212yes—
122#2762C2212yes—
123#2762C2212yes—
124#2762C2212yes—
125#2760C2212yes—
126#2759C2212yes—
127#2758C2212yes—
128#2758C2212yes—
129#2757C2212yes—
130#2757C2212yes—
131#2755C2212yes—
132#2753C2212yes—
133#2751C2212yes—
134#2751C2212yes—
135#2751C2212yes—
136#2751C2212yes—
137#2750C2212yes—
138#2749C2212yes—
139#2747C2212yes—
140#2747C2212yes—
141#2746C2212yes—
142#2746C2212yes—
143#2745C2212yes—
144#2745C2212yes—
145#2744C2212yes—
146#2743C2212yes—
147#2743C2212yes—
148#2742C2212yes—
149#2741C2212yes—
150#2740C2212yes—
151#2740C2212yes—
152#2740C2212yes—
153#2740C2212yes—
154#2740C2212yes—
155#2739C2212yes—
156#2739C2212yes—
157#2738C2212yes—
158#2738C2212yes—
159#2737C2212yes—
160#2737C2212yes—
161#2737C2212yes—
162#2737C2212yes—
163#2737C2212yes—
164#2734C2211yescharacteristic
165#2734C2212yes—
166#2733C2211yescharacteristic
167#2731C2211yescharacteristic
168#2731C2211yescharacteristic
169#2731C2211yescharacteristic
170#2731C2211yescharacteristic
171#2729C2212yes—
172#2729C2212yes—
173#2729C2212yes—
174#2729C2212yes—
175#2722C2212yes—
176#2722C2212yes—
177#2721C2212yes—
178#2721C2212yes—
179#2719C2212yes—
180#2719C2212yes—
181#2716C2212yes—
182#2716C2212yes—
183#2716C2212yes—
184#2716C2212yes—
185#2715C2212yes—
186#2713C2212yes—
187#2713C2212yes—
188#2713C2212yes—
189#2713C2212yes—
190#2713C2212yes—
191#2713C2212yes—
192#2704C2212yes—
193#2704C2212yes—
194#2702C2212yes—
195#2700C2212yes—
196#2695C2212yes—
197#2692C2212yes—
198#2690C2212yes—
199#2690C2212yes—
200#2682C2212yes—
201#2681C2212yes—
202#2677C2212yes—
203#2677C2212yes—
204#2674C2212yes—
205#2674C2212yes—
206#2667C2212yes—
207#2666C2212yes—
208#2663C2212yes—
209#2662C2212yes—
210#2659C2212yes—
211#2655C2212yes—
212#2655C2212yes—
213#2651C2212yes—
214#2648C2212yes—
215#2636C2212yes—
216#2636C2212yes—
217#2634C2212yes—
218#2634C2212yes—
219#2633C2212yes—
220#2633C2212yes—
221#2632C2212yes—
222#2625C2212yes—
223#2625C2212yes—
224#2608C2211yescharacteristic
225#2607C2211yescharacteristic
226#2607C2212yes—
227#2606C2212yes—
228#2605C2212yes—
229#2601C2212yes—
230#2599C2212yes—
231#2599C2212yes—
232#2599C2212yes—
233#2597C2212yes—
234#2596C2212yes—
235#2594C2212yes—
236#2590C2212yes—
237#2589C2212yes—
238#2589C2212yes—
239#2588C2212yes—
240#2588C2212yes—
241#2588C2212yes—
242#2588C2212yes—
243#2585C2212yes—
244#2585C2212yes—
245#2579C2212yes—
246#2578C2212yes—
247#2578C2212yes—
248#2577C2212yes—
249#2575C2212yes—
250#2574C2212yes—
251#2573C2212yes—
252#2573C2212yes—
253#2558C2212yes—
254#2556C2212yes—
255#2554C2212yes—
256#2553C2212yes—
257#2552C2212yes—
258#2550C2212yes—
259#2550C2212yes—
260#2533C2212yes—
261#2533C2212yes—
262#2531C2212yes—
263#2528C2212yes—
264#2528C2212yes—
265#2528C2212yes—
266#2527C2212yes—
267#2527C2212yes—
268#2525C2212yes—
269#2524C2212yes—
270#2524C2212yes—
271#2524C2212yes—
272#2521C2212yes—
273#2520C2212yes—
274#2520C2212yes—
275#2519C2212yes—
276#2517C2212yes—
277#2515C2212yes—
278#2515C2212yes—
279#2514C2212yes—
280#2514C2212yes—
281#2513C2212yes—
282#2510C2212yes—
283#2505C2212yes—
284#2499C2212yes—
285#2498C2212yes—
286#2496C2212yes—
287#2496C2212yes—
288#2493C2212yes—
289#2493C2212yes—
290#2493C2212yes—
291#2493C2212yes—
292#2492C2212yes—
293#2485C2212yes—
294#2484C2212yes—
295#2479C2212yes—
296#2479C2212yes—
297#2477C2212yes—
298#2476C2212yes—
299#2475C2212yes—
300#2475C2212yes—
301#2475C2212yes—
302#2474C2212yes—
303#2469C2212yes—
304#2469C2212yes—
305#2469C2212yes—
306#2469C2212yes—
307#2469C2212yes—
308#2467C2212yes—
309#2467C2212yes—
310#2465C2212yes—
311#2465C2212yes—
312#2462C2212yes—
313#2462C2212yes—
314#2462C2212yes—
315#2462C2212yes—
316#2462C2212yes—
317#2461C2212yes—
318#2460C2212yes—
319#2460C2212yes—
320#2460C2212yes—
321#2459C2212yes—
322#2458C2212yes—
323#2458C2212yes—
324#2454C2212yes—
325#2452C2212yes—
326#2450C2212yes—
327#2450C2212yes—
328#2447C2212yes—
329#2447C2212yes—
330#2446C2212yes—
331#2446C2212yes—
332#2446C2212yes—
333#2446C2212yes—
334#2446C2212yes—
335#2444C2212yes—
336#2444C2212yes—
337#2441C2212yes—
338#2438C2212yes—
339#2438C2212yes—
340#2436C2211yescharacteristic
341#2434C2211yescharacteristic
342#2434C2211yescharacteristic
343#2434C2211yescharacteristic
344#2432C2212yes—
345#2427C2212yes—
346#2423C2212yes—
347#2419C2212yes—
348#2419C2212yes—
349#2419C2212yes—
350#2419C2212yes—
351#2415C2212yes—
352#2407C2212yes—
353#2382C2212yes—
354#2381C2211yescharacteristic
355#2381C2212yes—
356#2381C2211yescharacteristic
357#2381C2211yescharacteristic
358#2381C2211yescharacteristic
359#2379C2211yescharacteristic
360#2378C2212yes—
361#2369C2211yescharacteristic
362#2368C2212yes—
363#2333C2211yescharacteristic
364#2332C2211yescharacteristic
365#2332C2211yescharacteristic
366#2332C2211yescharacteristic
367#2326C2212yes—
368#2324C2212yes—
369#2320C2212yes—
370#2319C2212yes—
371#2316C2211yescharacteristic
372#2314C2212yes—
373#2311C2211yescharacteristic
374#2310C2211yescharacteristic
375C4×C22⋊Q8C2212yes—
376#2296C2211yescharacteristic
377C2×#391C2211yescharacteristic
378#2290C2212yes—
379C22×#41C2311yescharacteristic
380C23×Q8C2311yescharacteristic
381#563—44no—
382Q82—44no—
383#541—48no—
384#536—44no—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2311yescharacteristic
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2311yescharacteristic
394C2×C4⋊Q8C2311yescharacteristic
395C2×C4⋊Q8C2311yescharacteristic
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#124C2312yes—
410C2×#124C2311yescharacteristic
411C2×#124C2311yescharacteristic
412C2×#124C2311yescharacteristic
413C2×#124C2311yescharacteristic
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C4×#41—44no—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×#117C2311yescharacteristic
441C2×#117C2311yescharacteristic
442C2×#117C2312yes—
443C2×#117C2311yescharacteristic
444C2×#117C2312yes—
445C2×#117C2312yes—
446C22×C4⋊C4C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2312yes—
449#401C2312yes—
450#401C2312yes—
451#401C2312yes—
452#401C2312yes—
453#401C2312yes—
454#401C2312yes—
455#401C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
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#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#398C2312yes—
521#398C2312yes—
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#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
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#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#397C2312yes—
605#397C2312yes—
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#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2312yes—
652#394C2312yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2311yescharacteristic
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2311yescharacteristic
702#391C2312yes—
703#391C2312yes—
704#391C2311yescharacteristic
705#391C2311yescharacteristic
706#391C2311yescharacteristic
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2311yescharacteristic
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2311yescharacteristic
718#391C2311yescharacteristic
719#391C2311yescharacteristic
720#391C2311yescharacteristic
721#391C2311yescharacteristic
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2312yes—
727#391C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
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#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#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
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#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
972#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
976#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#384C2312yes—
1014#384C2312yes—
1015#384C2312yes—
1016#383C2312yes—
1017#383C2312yes—
1018#383C2312yes—
1019#383C2312yes—
1020#383C2312yes—
1021#383C2312yes—
1022#383C2312yes—
1023#383C2312yes—
1024#383C2312yes—
1025#383C2312yes—
1026#383C2312yes—
1027#382C2312yes—
1028#382C2312yes—
1029#382C2312yes—
1030#382C2312yes—
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#381C2311yescharacteristic
1037#381C2311yescharacteristic
1038#381C2311yescharacteristic
1039#381C2311yescharacteristic
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#381C2312yes—
1050#381C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
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×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2311yescharacteristic
1093C4×C22⋊C4C2311yescharacteristic
1094C4×C22⋊C4C2311yescharacteristic
1095C4×C22⋊C4C2311yescharacteristic
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C2×#41—24no—
1104C2×#41—42no—
1105C2×#41—42no—
1106C22×Q8—42no—
1107C22×Q8—42no—
1108C22×Q8—42no—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2411yescharacteristic
1112C22×Q8C2411yescharacteristic
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2411yescharacteristic
1117C22×Q8C2411yescharacteristic
1118C22×Q8C2412yes—
1119C22×Q8C2411yescharacteristic
1120C22×D4C2412yes—
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2411yescharacteristic
1125C22×D4C2412yes—
1126C23×C4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C4⋊Q8—24no—
1138C4⋊Q8—24no—
1139C4⋊Q8—28no—
1140C4⋊Q8—42no—
1141C4⋊Q8—42no—
1142C4⋊Q8—42no—
1143C4⋊Q8—44no—
1144C4⋊Q8—44no—
1145C4⋊Q8—42no—
1146C4⋊Q8—42no—
1147C4⋊Q8—42no—
1148#126—44no—
1149#126—44no—
1150#126—44no—
1151#126—44no—
1152#126—44no—
1153#126—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#125—44no—
1158#125—44no—
1159#125—44no—
1160#125—44no—
1161#124—42no—
1162#124—42no—
1163#124—44no—
1164#124—42no—
1165#124—42no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169C22⋊Q8—28no—
1170C22⋊Q8—42no—
1171C22⋊Q8—42no—
1172C22⋊Q8—42no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179#121—44no—
1180#121—42no—
1181C4×Q8—28no—
1182C4×Q8—44no—
1183C4×Q8—44no—
1184C4×Q8—44no—
1185C4×Q8—44no—
1186C4×D4—44no—
1187C4×D4—44no—
1188C4×D4—44no—
1189C4×D4—44no—
1190C4×D4—44no—
1191#117—42no—
1192#117—44no—
1193#117—44no—
1194#117—42no—
1195#117—44no—
1196#117—42no—
1197C2×C4⋊C4—42no—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2412yes—
1202C2×C4⋊C4C2412yes—
1203C2×C4⋊C4C2412yes—
1204C2×C4⋊C4C2412yes—
1205C2×C4⋊C4C2412yes—
1206C2×C4⋊C4C2412yes—
1207C2×C4⋊C4C2412yes—
1208C2×C4⋊C4C2412yes—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2411yescharacteristic
1217C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2411yescharacteristic
1240C2×C4⋊C4C2411yescharacteristic
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊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×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2412yes—
1294C2×C22⋊C4C2412yes—
1295C2×C22⋊C4C2412yes—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2411yescharacteristic
1298C2×C22⋊C4C2411yescharacteristic
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2411yescharacteristic
1305C2×C22⋊C4C2411yescharacteristic
1306C2×C22⋊C4C2412yes—
1307C2×C22⋊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⋊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×C42—44no—
1352C2×C42—42no—
1353C2×C42C2412yes—
1354C2×C42C2411yescharacteristic
1355C2×C42C2412yes—
1356C2×C42C2411yescharacteristic
1357C2×C42C2412yes—
1358C2×C42C2412yes—
1359C2×C42C2412yes—
1360C2×C42C2411yescharacteristic
1361C2×C42C2412yes—
1362C2×C42C2412yes—
1363C2×C42C2412yes—
1364C2×C42C2412yes—
1365C2×C42C2412yes—
1366C2×C42C2411yescharacteristic
1367C2×C42C2411yescharacteristic
1368C2×C42C2412yes—
1369C2×C42C2412yes—
1370C2×C42C2412yes—
1371C2×C42C2412yes—
1372C2×C42C2411yescharacteristic
1373C2×C42C2412yes—
1374C2×C42C2411yescharacteristic
1375C2×C42C2412yes—
1376C2×C42C2411yescharacteristic
1377C2×C42C2411yescharacteristic
1378C2×C42C2411yescharacteristic
1379C2×C42C2411yescharacteristic
1380C2×C42C2412yes—
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2411yescharacteristic
1387#95C2412yes—
1388#95C2412yes—
1389#95C2412yes—
1390#95C2412yes—
1391#95C2412yes—
1392#95C2412yes—
1393#95C2412yes—
1394#95C2412yes—
1395#95C2412yes—
1396#95C2412yes—
1397#95C2412yes—
1398#95C2412yes—
1399#95C2412yes—
1400#95C2412yes—
1401#95C2412yes—
1402#95C2412yes—
1403#95C2412yes—
1404#95C2412yes—
1405#95C2412yes—
1406#95C2412yes—
1407#95C2412yes—
1408#95C2412yes—
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—
1515C24C2512yes—
1516C24C2512yes—
1517C24C2511yescharacteristic
1518#41—416no—
1519C2×Q8—24no—
1520C2×Q8—22no—
1521C2×Q8—22no—
1522C2×Q8—22no—
1523C2×Q8—22no—
1524C2×Q8—42no—
1525C2×Q8—42no—
1526C2×Q8—42no—
1527C2×Q8—41no—
1528C2×Q8—41no—
1529C2×Q8—41no—
1530C2×Q8—41no—
1531C2×Q8—42no—
1532C2×Q8—42no—
1533C2×Q8—41no—
1534C2×Q8—41no—
1535C2×Q8—41no—
1536C2×Q8—41no—
1537C2×Q8—41no—
1538C2×Q8—41no—
1539C2×Q8—41no—
1540C2×Q8—42no—
1541C2×Q8—41no—
1542C2×Q8—41no—
1543C2×Q8—41no—
1544C2×Q8—41no—
1545C2×Q8—41no—
1546C2×Q8—41no—
1547C2×Q8—41no—
1548C2×Q8—41no—
1549C2×Q8—42no—
1550C2×Q8—42no—
1551C2×Q8—88no—
1552C2×Q8H(5,𝔽2)14yes—
1553C2×D4—24no—
1554C2×D4—24no—
1555C2×D4—24no—
1556C2×D4—22no—
1557C2×D4—41no—
1558C2×D4—42no—
1559C2×D4—41no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—41no—
1567C2×D4—41no—
1568C2×D4—41no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C22×C4—22no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—24no—
1575C22×C4—22no—
1576C22×C4—22no—
1577C22×C4—24no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—42no—
1581C22×C4—42no—
1582C22×C4—42no—
1583C22×C4—42no—
1584C22×C4—42no—
1585C22×C4—42no—
1586C22×C4—41no—
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—41no—
1597C22×C4—41no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
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×C4C2511yescharacteristic
1619C22×C4C2511yescharacteristic
1620C22×C4C2511yescharacteristic
1621C22×C4C2512yes—
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2511yescharacteristic
1634C22×C4C2512yes—
1635C22×C4C2511yescharacteristic
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—41no—
1655C4⋊C4—41no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—42no—
1663C4⋊C4—42no—
1664C4⋊C4—42no—
1665C4⋊C4—42no—
1666C4⋊C4—42no—
1667C4⋊C4—42no—
1668C4⋊C4—42no—
1669C4⋊C4—42no—
1670C4⋊C4—42no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
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—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—41no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—41no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—41no—
1712C4⋊C4—42no—
1713C4⋊C4—41no—
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—
1729C22⋊C4—24no—
1730C22⋊C4—24no—
1731C22⋊C4—24no—
1732C22⋊C4—24no—
1733C22⋊C4—24no—
1734C22⋊C4—24no—
1735C22⋊C4—42no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—42no—
1740C22⋊C4—42no—
1741C22⋊C4—42no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—42no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—41no—
1762C22⋊C4—41no—
1763C22⋊C4—41no—
1764C22⋊C4—42no—
1765C22⋊C4—41no—
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—
1789C42—24no—
1790C42—24no—
1791C42—24no—
1792C42—22no—
1793C42—24no—
1794C42—22no—
1795C42—41no—
1796C42—42no—
1797C42—41no—
1798C42—42no—
1799C42—42no—
1800C42—42no—
1801C42—42no—
1802C42—42no—
1803C42—42no—
1804C42—42no—
1805C42—42no—
1806C42—42no—
1807C42—42no—
1808C42—42no—
1809C42—42no—
1810C42—42no—
1811C42—41no—
1812C42—41no—
1813C42—42no—
1814C42—42no—
1815C42—42no—
1816C42—41no—
1817C42—41no—
1818C42—42no—
1819C42—41no—
1820C42—41no—
1821C42—41no—
1822C42—41no—
1823C23—21no—
1824C23—21no—
1825C23—22no—
1826C23—22no—
1827C23—22no—
1828C23—22no—
1829C23—22no—
1830C23—22no—
1831C23—22no—
1832C23—22no—
1833C23—22no—
1834C23—22no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—22no—
1841C23#58512yes—
1842C23C2611yescharacteristic
1843Q8—44no—
1844Q8—48no—
1845Q8—84no—
1846Q8—82no—
1847Q8—82no—
1848Q8—82no—
1849Q8—82no—
1850Q8—161no—
1851Q8—161no—
1852Q8—161no—
1853Q8—162no—
1854D4—48no—
1855D4—44no—
1856D4—84no—
1857D4—84no—
1858D4—162no—
1859D4—161no—
1860C2×C4—28no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—21no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—22no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—21no—
1882C2×C4—21no—
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—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—21no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—22no—
1905C2×C4—21no—
1906C2×C4—22no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—21no—
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—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—48no—
1955C2×C4—84no—
1956C2×C4—84no—
1957C2×C4—82no—
1958C2×C4—82no—
1959C2×C4—84no—
1960C2×C4—84no—
1961C2×C4—84no—
1962C2×C4—162no—
1963C2×C4—162no—
1964C2×C4C2×H(5,𝔽2)12yes—
1965C2×C4C2×H(5,𝔽2)14yes—
1966C2×C4#58512yes—
1967C22—22no—
1968C22—22no—
1969C22—22no—
1970C22—42no—
1971C22—42no—
1972C22—42no—
1973C22—42no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—42no—
1981C22—42no—
1982C22—42no—
1983C22—42no—
1984C22—42no—
1985C22—42no—
1986C22C22×H(5,𝔽2)11yescharacteristic
1987C22C2×#58511yescharacteristic
1988C22C2×#58511yescharacteristic
1989C222−1+612yes—
1990C222−1+612yes—
1991C4—22no—
1992C4—22no—
1993C4—24no—
1994C4—42no—
1995C4—42no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—42no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—41no—
2011C4—41no—
2012C4—41no—
2013C4—41no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—42no—
2018C4—42no—
2019C4—42no—
2020C4—42no—
2021C4—42no—
2022C4—42no—
2023C2—42no—
2024C2—82no—
2025C2—82no—
2026C2#6282011yescharacteristic
2027C2#6289112yes—
2028C2#6304412yes—
2029C2#6306411yescharacteristic
2030C2#6306411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#52076C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #57922C2semidirect
2. #57830C2semidirect
3. #57813C2semidirect
4. #57095C2semidirect
5. #57030C2semidirect
6. #56980C2semidirect
7. #56955C2semidirect
8. #56849C2semidirect
9. #54547C2semidirect
10. #54311C2semidirect
11. #54096C2semidirect
12. #54088C2semidirect
14. #52074C2semidirect
15. #52072C2semidirect
16. #51986C2semidirect
17. #51671C2semidirect
18. #51666C2semidirect
19. #51540C2semidirect
20. #47527C2semidirect
21. #47484C2semidirect
22. #47460C2semidirect
23. #46782C2semidirect
24. #46772C2semidirect
25. #46455C2semidirect
26. #46453C2semidirect
27. #46348C2semidirect
28. #46259C2semidirect
29. #46211C2semidirect
30. #46205C2semidirect
31. #45753C2semidirect
32. #45555C2semidirect
33. #45545C2semidirect
34. #35307C2semidirect
35. #35205C2semidirect

Maximal subgroups

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

subgroupindex
#579222
#578302
#578132
#570952
#570302
#569802
#569552
#568492
#545472
#543112
#540962
#540882
#520762
#520742
#520722
#519862
#516712
#516662
#515402
#475272
#474842
#474602
#467822
#467722
#464552
#464532
#463482
#462592
#462112
#462052
#457532
#455552
#455452
#353072
#352052