Finite Group Databasebeta

← #10216955

Subgroups — #10216955

Order 512.

4283 conjugacy classes of subgroups.

The subgroup lattice has 2074 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59529C212yesmaximal, complemented
2#59077C212yesmaximal, complemented
3#58755C211yesmaximal, characteristic, complemented
4#58430C211yesmaximal, characteristic, complemented
5#58280C212yesmaximal, complemented
6#56758C212yesmaximal, complemented
7#54561C212yesmaximal, complemented
8#54391C212yesmaximal, complemented
9#54354C212yesmaximal, complemented
10#53512C212yesmaximal, complemented
11#52073C211yesmaximal, characteristic, complemented
12#50520C212yesmaximal, complemented
13#50400C212yesmaximal, complemented
14#50363C212yesmaximal, complemented
15#49616C212yesmaximal, complemented
16#49408C212yesmaximal, complemented
17#48534C212yesmaximal, complemented
18#48213C212yesmaximal, complemented
19#47277C212yesmaximal, complemented
20#47215C211yesmaximal, characteristic, complemented
21#46931C212yesmaximal, complemented
22#44834C211yesmaximal, characteristic, complemented
23#44555C212yesmaximal, complemented
24#43800C211yesmaximal, characteristic, complemented
25#43720C212yesmaximal, complemented
26#43718C212yesmaximal, complemented
27#43701C212yesmaximal, complemented
28#42793C211yesmaximal, characteristic, complemented
29#41817C212yesmaximal, complemented
30#41728C212yesmaximal, complemented
31#39755C212yesmaximal, complemented
32#39125C212yesmaximal, complemented
33#38546C212yesmaximal, complemented
34#37828C212yesmaximal, complemented
35#36922C212yesmaximal, complemented
36C2×Q82C2211yescharacteristic, complemented
37C2×#554C2211yescharacteristic, complemented
38C2×#541C2211yescharacteristic
39C2×#538C2211yescharacteristic
40C2×#529C2212yes—
41#2857C2212yescomplemented
42#2852C2212yes—
43#2843C2211yescharacteristic, complemented
44#2840C2211yescharacteristic
45#2838C2212yes—
46#2838C2212yes—
47#2837C2212yes—
48#2833C2212yescomplemented
49#2832C2212yes—
50#2826C2212yes—
51#2821C2212yes—
52#2816C2211yescharacteristic
53#2814C2212yes—
54#2808C2212yes—
55#2807C2211yescharacteristic
56#2806C2212yescomplemented
57#2801C2212yes—
58#2800C2212yes—
59#2800C2212yes—
60#2799C2212yescomplemented
61#2798C2212yescomplemented
62#2793C2212yes—
63#2793C2212yescomplemented
64#2790C2212yes—
65#2790C2212yescomplemented
66#2790C2212yescomplemented
67#2789C2211yescharacteristic, complemented
68#2788C2212yes—
69#2788C2212yescomplemented
70#2787C2212yes—
71#2786C2212yes—
72#2785C2212yes—
73#2784C2211yescharacteristic, complemented
74#2782C2212yescomplemented
75#2781C2212yes—
76#2779C2212yes—
77#2779C2212yes—
78#2778C2212yes—
79#2778C2212yescomplemented
80#2777C2212yescomplemented
81#2776C2212yescomplemented
82#2776C2212yescomplemented
83#2775C2212yes—
84#2775C2212yes—
85#2775C2212yes—
86#2772C2212yes—
87#2770C2212yes—
88#2770C2212yescomplemented
89#2770C2212yescomplemented
90#2769C2212yescomplemented
91#2768C2212yes—
92#2766C2212yescomplemented
93#2766C2212yescomplemented
94#2766C2212yescomplemented
95#2764C2212yes—
96#2764C2212yescomplemented
97#2763C2211yescharacteristic
98#2763C2212yescomplemented
99#2761C2212yes—
100#2759C2212yes—
101#2755C2212yescomplemented
102#2755C2212yescomplemented
103#2754C2212yes—
104#2754C2212yes—
105#2754C2212yes—
106#2751C2212yes—
107#2750C2212yescomplemented
108#2749C2212yes—
109#2749C2212yescomplemented
110#2747C2212yes—
111#2746C2212yes—
112#2745C2212yes—
113#2745C2212yescomplemented
114#2738C2212yescomplemented
115#2738C2212yescomplemented
116#2737C2212yes—
117#2736C2211yescharacteristic
118#2735C2212yes—
119#2732C2212yes—
120#2731C2212yes—
121#2730C2212yes—
122#2728C2212yes—
123#2723C2212yes—
124#2721C2212yes—
125#2721C2212yes—
126#2720C2212yescomplemented
127#2719C2212yescomplemented
128#2719C2212yescomplemented
129#2716C2212yes—
130#2716C2212yes—
131#2716C2212yes—
132#2716C2212yes—
133#2716C2212yescomplemented
134#2716C2212yescomplemented
135#2715C2212yes—
136#2713C2212yescomplemented
137#2713C2212yescomplemented
138#2712C2212yes—
139#2712C2212yescomplemented
140#2711C2212yes—
141#2708C2212yes—
142#2707C2212yes—
143#2706C2212yes—
144#2702C2212yes—
145#2698C2212yescomplemented
146#2696C2212yes—
147#2695C2212yes—
148#2695C2212yescomplemented
149#2694C2212yes—
150#2690C2212yes—
151#2690C2212yescomplemented
152#2688C2212yes—
153#2687C2212yes—
154#2686C2212yes—
155#2686C2212yes—
156#2686C2212yes—
157#2685C2212yes—
158#2685C2212yes—
159#2684C2212yes—
160#2684C2212yes—
161#2683C2211yescharacteristic, complemented
162#2680C2212yes—
163#2680C2211yescharacteristic, complemented
164#2678C2212yes—
165#2674C2212yes—
166#2674C2212yes—
167#2674C2212yescomplemented
168#2674C2212yescomplemented
169#2672C2212yes—
170#2671C2212yes—
171#2671C2212yes—
172#2668C2211yescharacteristic
173#2668C2212yes—
174#2666C2212yescomplemented
175#2665C2212yes—
176#2664C2212yes—
177#2654C2212yes—
178#2653C2212yescomplemented
179#2650C2212yes—
180#2650C2212yes—
181#2649C2212yes—
182#2647C2212yescomplemented
183#2642C2212yescomplemented
184#2639C2212yes—
185#2639C2212yes—
186#2634C2211yescharacteristic, complemented
187#2634C2212yescomplemented
188#2633C2212yes—
189#2633C2211yescharacteristic, complemented
190#2630C2212yes—
191#2628C2211yescharacteristic
192#2628C2212yes—
193#2628C2212yescomplemented
194#2627C2212yescomplemented
195#2612C2211yescharacteristic, complemented
196#2606C2212yescomplemented
197#2604C2212yes—
198#2599C2211yescharacteristic
199#2598C2211yescharacteristic
200#2597C2212yes—
201#2597C2212yes—
202#2597C2212yes—
203#2595C2212yes—
204#2594C2212yescomplemented
205#2593C2211yescharacteristic, complemented
206#2591C2212yes—
207#2589C2212yes—
208#2586C2212yescomplemented
209#2581C2211yescharacteristic, complemented
210#2579C2212yes—
211#2579C2212yescomplemented
212#2578C2212yes—
213#2578C2212yescomplemented
214#2577C2212yescomplemented
215#2577C2212yescomplemented
216#2576C2212yes—
217#2575C2212yes—
218#2575C2212yescomplemented
219#2575C2212yescomplemented
220#2572C2212yes—
221#2568C2211yescharacteristic, complemented
222#2563C2212yes—
223#2561C2211yescharacteristic
224#2560C2212yes—
225#2560C2212yes—
226#2560C2212yes—
227#2559C2212yes—
228#2559C2212yes—
229#2557C2212yes—
230#2557C2212yes—
231#2556C2212yescomplemented
232#2555C2212yes—
233#2555C2211yescharacteristic, complemented
234#2553C2212yes—
235#2553C2212yes—
236#2550C2212yescomplemented
237#2550C2212yescomplemented
238#2550C2212yescomplemented
239#2549C2212yescomplemented
240#2547C2212yes—
241#2547C2212yescomplemented
242#2543C2212yes—
243#2538C2212yes—
244#2536C2212yes—
245#2536C2212yescomplemented
246#2534C2212yes—
247#2533C2212yescomplemented
248#2533C2212yescomplemented
249#2532C2212yes—
250#2532C2212yes—
251#2532C2212yes—
252#2532C2212yescomplemented
253#2531C2212yes—
254#2531C2212yescomplemented
255#2530C2212yes—
256#2528C2212yescomplemented
257#2527C2212yes—
258#2527C2212yescomplemented
259#2525C2212yes—
260#2525C2212yescomplemented
261#2524C2212yescomplemented
262#2524C2212yescomplemented
263#2523C2211yescharacteristic
264#2523C2212yes—
265#2523C2212yescomplemented
266#2522C2212yes—
267#2521C2212yescomplemented
268#2520C2212yescomplemented
269#2519C2212yes—
270#2519C2212yes—
271#2519C2212yescomplemented
272#2518C2212yes—
273#2518C2212yes—
274#2517C2212yescomplemented
275#2515C2212yes—
276#2515C2212yescomplemented
277#2514C2212yescomplemented
278#2514C2212yescomplemented
279#2510C2212yes—
280#2510C2212yes—
281#2510C2212yes—
282#2510C2212yes—
283#2510C2212yescomplemented
284#2507C2212yescomplemented
285#2505C2212yescomplemented
286#2505C2212yescomplemented
287#2500C2211yescharacteristic
288#2497C2212yes—
289#2492C2212yes—
290#2491C2212yes—
291#2491C2212yes—
292#2490C2212yes—
293#2488C2212yes—
294#2488C2212yescomplemented
295#2482C2211yescharacteristic
296#2481C2212yes—
297#2481C2212yescomplemented
298#2480C2212yes—
299#2480C2212yes—
300#2478C2212yes—
301#2477C2212yescomplemented
302#2476C2212yes—
303#2475C2212yes—
304#2473C2212yescomplemented
305#2473C2212yescomplemented
306#2469C2212yes—
307#2468C2212yes—
308#2468C2212yes—
309#2467C2212yes—
310#2466C2212yes—
311#2466C2212yes—
312#2463C2211yescharacteristic
313#2463C2212yes—
314#2460C2212yes—
315#2460C2212yescomplemented
316#2458C2212yes—
317#2456C2212yes—
318#2455C2212yes—
319#2450C2212yes—
320#2450C2212yes—
321#2449C2212yes—
322#2449C2212yescomplemented
323#2449C2212yescomplemented
324#2448C2212yes—
325#2448C2212yes—
326#2446C2212yescomplemented
327#2443C2212yes—
328#2442C2212yescomplemented
329#2437C2211yescharacteristic
330#2427C2212yescomplemented
331#2425C2212yes—
332#2425C2212yescomplemented
333#2423C2212yescomplemented
334#2421C2212yes—
335#2421C2212yescomplemented
336#2421C2212yescomplemented
337#2418C2212yes—
338#2413C2212yes—
339#2411C2212yes—
340#2401C2212yes—
341#2401C2212yescomplemented
342#2396C2211yescharacteristic
343#2381C2211yescharacteristic, complemented
344#2379C2212yescomplemented
345#2376C2212yes—
346#2373C2212yes—
347#2373C2212yescomplemented
348#2372C2212yes—
349#2372C2212yescomplemented
350#2368C2212yescomplemented
351#2368C2212yescomplemented
352#2364C2212yescomplemented
353#2362C2212yescomplemented
354#2361C2212yes—
355#2361C2212yes—
356#2358C2212yes—
357#2356C2211yescharacteristic, complemented
358#2355C2212yescomplemented
359#2353C2212yes—
360#2353C2212yescomplemented
361#2352C2212yes—
362#2345C2212yescomplemented
363#2337C2212yes—
364#2337C2212yes—
365#2337C2212yescomplemented
366#2336C2212yescomplemented
367#2335C2212yes—
368#2335C2212yes—
369#2332C2211yescharacteristic
370#2329C2212yescomplemented
371#2329C2212yescomplemented
372#2323C2212yes—
373#2323C2212yescomplemented
374#2312C2212yes—
375C4×C22⋊Q8C2212yescomplemented
376C4×#123C2212yescomplemented
377C4×#121C2212yes—
378C2×#387C2212yescomplemented
379Q82—44no—
380#554—44no—
381#541—44no—
382#538—44no—
383C2×C4⋊Q8C2311yescharacteristic
384C2×C4⋊Q8C2312yes—
385C2×C4⋊Q8C2312yes—
386C2×C4⋊Q8C2311yescharacteristic
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389#529—48no—
390C2×#126C2312yes—
391C2×#126C2312yes—
392C2×#126C2312yes—
393C2×#126C2312yes—
394C2×#126C2312yes—
395C2×#126C2312yes—
396C2×#126C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2311yescharacteristic
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#124C2312yes—
407C2×#124C2312yes—
408C2×#124C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×#117C2312yes—
453C2×#117C2312yes—
454C2×#117C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2312yes—
457C22×C4⋊C4C2312yes—
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2312yes—
460C22×C42C2312yes—
461#401C2312yes—
462#401C2312yes—
463#401C2312yes—
464#401C2312yes—
465#401C2312yes—
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#400C2311yescharacteristic
489#400C2312yes—
490#400C2312yes—
491#400C2311yescharacteristic
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#399C2312yes—
508#399C2311yescharacteristic
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2311yescharacteristic
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#398C2311yescharacteristic
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#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2311yescharacteristic
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#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#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2311yescharacteristic
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2311yescharacteristic
629#395C2311yescharacteristic
630#395C2311yescharacteristic
631#395C2312yes—
632#395C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
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#394C2311yescharacteristic
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#393C2311yescharacteristic
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2311yescharacteristic
678#393C2311yescharacteristic
679#393C2312yes—
680#393C2312yes—
681#393C2311yescharacteristic
682#393C2312yes—
683#393C2312yes—
684#392C2312yes—
685#392C2311yescharacteristic
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
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#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2311yescharacteristic
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2311yescharacteristic
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#388C2312yes—
759#388C2312yes—
760#388C2312yes—
761#388C2312yes—
762#388C2312yes—
763#388C2312yes—
764#388C2312yes—
765#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
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#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#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2311yescharacteristic
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2311yescharacteristic
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#384C2311yescharacteristic
993#384C2312yes—
994#384C2312yes—
995#383C2312yes—
996#383C2312yes—
997#383C2312yes—
998#383C2312yes—
999#383C2312yes—
1000#383C2312yes—
1001#383C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2311yescharacteristic
1005#383C2311yescharacteristic
1006#383C2312yes—
1007#382C2312yes—
1008#382C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2311yescharacteristic
1014#382C2312yes—
1015#382C2312yes—
1016#382C2311yescharacteristic
1017#382C2312yes—
1018#382C2312yes—
1019#381C2311yescharacteristic
1020#381C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#379C2312yes—
1048#379C2312yes—
1049#379C2312yes—
1050#379C2311yescharacteristic
1051#379C2311yescharacteristic
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2311yescharacteristic
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095#376C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2411yescharacteristic
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2412yes—
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×D4C2411yescharacteristic
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2412yes—
1120C22×D4C2412yes—
1121C22×D4C2412yes—
1122C22×D4C2411yescharacteristic
1123C23×C4C2412yes—
1124C23×C4C2411yescharacteristic
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2411yescharacteristic
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C4⋊Q8—24no—
1138C4⋊Q8—44no—
1139C4⋊Q8—44no—
1140C4⋊Q8—44no—
1141C4⋊Q8—42no—
1142C4⋊Q8—44no—
1143#126—44no—
1144#126—44no—
1145#126—44no—
1146#126—44no—
1147#126—44no—
1148#126—44no—
1149#126—44no—
1150#125—44no—
1151#125—42no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#124—28no—
1157#124—44no—
1158#124—44no—
1159#124—44no—
1160#124—44no—
1161#124—44no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165#123—44no—
1166#123—44no—
1167#123—44no—
1168#123—44no—
1169C22⋊Q8—28no—
1170C22⋊Q8—24no—
1171C22⋊Q8—44no—
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—42no—
1182#121—44no—
1183#121—44no—
1184#121—44no—
1185#121—44no—
1186#121—44no—
1187#121—44no—
1188#120—44no—
1189#120—44no—
1190C4×Q8—28no—
1191C4×Q8—24no—
1192C4×Q8—44no—
1193C4×Q8—42no—
1194C4×Q8—42no—
1195C4×Q8—42no—
1196C4×D4—44no—
1197C4×D4—44no—
1198C4×D4—44no—
1199C4×D4—42no—
1200C4×D4—44no—
1201C4×D4—44no—
1202C4×D4—44no—
1203C4×D4—44no—
1204C4×D4—44no—
1205#117—42no—
1206#117—44no—
1207#117—44no—
1208C2×C4⋊C4—44no—
1209C2×C4⋊C4—44no—
1210C2×C4⋊C4—44no—
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⋊C4C2411yescharacteristic
1223C2×C4⋊C4C2411yescharacteristic
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2411yescharacteristic
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2411yescharacteristic
1239C2×C4⋊C4C2411yescharacteristic
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2411yescharacteristic
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C22⋊C4—44no—
1295C2×C22⋊C4—42no—
1296C2×C22⋊C4C2412yes—
1297C2×C22⋊C4C2412yes—
1298C2×C22⋊C4C2412yes—
1299C2×C22⋊C4C2412yes—
1300C2×C22⋊C4C2412yes—
1301C2×C22⋊C4C2412yes—
1302C2×C22⋊C4C2412yes—
1303C2×C22⋊C4C2412yes—
1304C2×C22⋊C4C2412yes—
1305C2×C22⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1321C2×C22⋊C4C2411yescharacteristic
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×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⋊C4C2411yescharacteristic
1369C2×C22⋊C4C2411yescharacteristic
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C42—44no—
1375C2×C42C2412yes—
1376C2×C42C2412yes—
1377C2×C42C2411yescharacteristic
1378C2×C42C2411yescharacteristic
1379C2×C42C2412yes—
1380C2×C42C2412yes—
1381C2×C42C2412yes—
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×C42C2411yescharacteristic
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2411yescharacteristic
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#95C2411yescharacteristic
1508#95C2411yescharacteristic
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2411yescharacteristic
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2411yescharacteristic
1519#95C2411yescharacteristic
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523C24—42no—
1524C24—41no—
1525C24—41no—
1526C24—42no—
1527C24—41no—
1528C24C2511yescharacteristic
1529C24C2512yes—
1530C24C2512yes—
1531C24C2512yes—
1532C2×Q8—22no—
1533C2×Q8—24no—
1534C2×Q8—41no—
1535C2×Q8—41no—
1536C2×Q8—41no—
1537C2×Q8—41no—
1538C2×Q8—42no—
1539C2×Q8—41no—
1540C2×Q8—41no—
1541C2×Q8—42no—
1542C2×Q8—42no—
1543C2×Q8—42no—
1544C2×Q8—42no—
1545C2×Q8—42no—
1546C2×Q8—42no—
1547C2×Q8—42no—
1548C2×Q8—42no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—42no—
1552C2×Q8—42no—
1553C2×Q8—42no—
1554C2×Q8H(5,𝔽2)14yes—
1555C2×D4—24no—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—24no—
1562C2×D4—41no—
1563C2×D4—42no—
1564C2×D4—42no—
1565C2×D4—42no—
1566C2×D4—42no—
1567C2×D4—42no—
1568C2×D4—42no—
1569C2×D4—42no—
1570C2×D4—42no—
1571C2×D4—42no—
1572C2×D4—42no—
1573C2×D4—42no—
1574C2×D4—42no—
1575C2×D4—42no—
1576C2×D4—42no—
1577C2×D4—42no—
1578C2×D4—42no—
1579C2×D4—41no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—41no—
1583C2×D4—41no—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—22no—
1587C22×C4—24no—
1588C22×C4—24no—
1589C22×C4—24no—
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—42no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—41no—
1607C22×C4—42no—
1608C22×C4—41no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—41no—
1612C22×C4—42no—
1613C22×C4—42no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2512yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2511yescharacteristic
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2511yescharacteristic
1645C22×C4C2511yescharacteristic
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2511yescharacteristic
1652C22×C4C2511yescharacteristic
1653C22×C4C2511yescharacteristic
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C4⋊C4—24no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—22no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—22no—
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—41no—
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—41no—
1692C4⋊C4—41no—
1693C4⋊C4—42no—
1694C4⋊C4—41no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—41no—
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—42no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
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—24no—
1757C22⋊C4—24no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—41no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—42no—
1767C22⋊C4—42no—
1768C22⋊C4—42no—
1769C22⋊C4—42no—
1770C22⋊C4—42no—
1771C22⋊C4—42no—
1772C22⋊C4—41no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—41no—
1776C22⋊C4—41no—
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—
1805C22⋊C4—42no—
1806C22⋊C4—42no—
1807C22⋊C4—42no—
1808C22⋊C4—42no—
1809C22⋊C4—42no—
1810C22⋊C4—42no—
1811C22⋊C4—42no—
1812C22⋊C4—42no—
1813C22⋊C4—42no—
1814C22⋊C4—42no—
1815C22⋊C4—42no—
1816C22⋊C4—42no—
1817C42—24no—
1818C42—24no—
1819C42—24no—
1820C42—24no—
1821C42—22no—
1822C42—22no—
1823C42—24no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—41no—
1831C42—42no—
1832C42—41no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C23—22no—
1848C23—22no—
1849C23—22no—
1850C23—22no—
1851C23—22no—
1852C23—22no—
1853C23—21no—
1854C23—22no—
1855C23—22no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—22no—
1865C23—22no—
1866C23—21no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23—21no—
1871C23—22no—
1872C23—82no—
1873C23—84no—
1874C23—161no—
1875C23—161no—
1876C23—162no—
1877C23#58514yes—
1878C23C2611yescharacteristic
1879Q8—44no—
1880Q8—44no—
1881Q8—82no—
1882Q8—82no—
1883Q8—161no—
1884Q8—162no—
1885Q8—162no—
1886Q8—161no—
1887Q8—162no—
1888D4—44no—
1889D4—84no—
1890D4—84no—
1891D4—84no—
1892D4—84no—
1893D4—84no—
1894D4—84no—
1895D4—84no—
1896D4—162no—
1897D4—161no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—21no—
1902C2×C4—22no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—21no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—21no—
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—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—21no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—84no—
1985C2×C4—84no—
1986C2×C4—84no—
1987C2×C4—84no—
1988C2×C4—82no—
1989C2×C4—84no—
1990C2×C4—84no—
1991C2×C4—84no—
1992C2×C4—84no—
1993C2×C4—161no—
1994C2×C4—162no—
1995C2×C4—162no—
1996C2×C4—162no—
1997C2×C4—162no—
1998C2×C4C2×H(5,𝔽2)12yes—
1999C2×C4C2×H(5,𝔽2)14yes—
2000C2×C4#58514yes—
2001C22—24no—
2002C22—24no—
2003C22—24no—
2004C22—42no—
2005C22—42no—
2006C22—42no—
2007C22—42no—
2008C22—42no—
2009C22—42no—
2010C22—41no—
2011C22—42no—
2012C22—41no—
2013C22—42no—
2014C22—41no—
2015C22—42no—
2016C22—42no—
2017C22—42no—
2018C22—42no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—42no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—42no—
2027C22—164no—
2028C22C22×H(5,𝔽2)11yescharacteristic
2029C22C2×#58512yes—
2030C22C2×#58512yes—
2031C222−1+611yescharacteristic
2032C222−1+611yescharacteristic
2033C4—24no—
2034C4—24no—
2035C4—22no—
2036C4—42no—
2037C4—41no—
2038C4—42no—
2039C4—42no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—41no—
2044C4—42no—
2045C4—42no—
2046C4—41no—
2047C4—41no—
2048C4—42no—
2049C4—42no—
2050C4—41no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C4—42no—
2055C4—42no—
2056C4—42no—
2057C4—42no—
2058C4—42no—
2059C4—42no—
2060C4—42no—
2061C4—42no—
2062C4—42no—
2063C4—42no—
2064C2—44no—
2065C2—82no—
2066C2—82no—
2067C2—81no—
2068C2#6287111yescharacteristic
2069C2#6291112yes—
2070C2#6297112yes—
2071C2#6302011yescharacteristic
2072C2#6302011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59529C2semidirect
2. #59077C2semidirect
3. #58755C2semidirect
4. #58430C2semidirect
5. #58280C2semidirect
6. #56758C2semidirect
7. #54561C2semidirect
8. #54391C2semidirect
9. #54354C2semidirect
10. #53512C2semidirect
11. #52073C2semidirect
12. #50520C2semidirect
13. #50400C2semidirect
14. #50363C2semidirect
15. #49616C2semidirect
16. #49408C2semidirect
17. #48534C2semidirect
18. #48213C2semidirect
19. #47277C2semidirect
20. #47215C2semidirect
21. #46931C2semidirect
22. #44834C2semidirect
23. #44555C2semidirect
24. #43800C2semidirect
25. #43720C2semidirect
26. #43718C2semidirect
27. #43701C2semidirect
28. #42793C2semidirect
29. #41817C2semidirect
30. #41728C2semidirect
31. #39755C2semidirect
32. #39125C2semidirect
33. #38546C2semidirect
34. #37828C2semidirect
35. #36922C2semidirect
36. C2×Q82C22semidirect
37. C2×#554C22semidirect
41. #2857C22semidirect
43. #2843C22semidirect
48. #2833C22semidirect
56. #2806C22semidirect
60. #2799C22semidirect
61. #2798C22semidirect
63. #2793C22semidirect
65. #2790C22semidirect
66. #2790C22semidirect
67. #2789C22semidirect
69. #2788C22semidirect
73. #2784C22semidirect
74. #2782C22semidirect
79. #2778C22semidirect
80. #2777C22semidirect
81. #2776C22semidirect
82. #2776C22semidirect
88. #2770C22semidirect
89. #2770C22semidirect
90. #2769C22semidirect
92. #2766C22semidirect
93. #2766C22semidirect
94. #2766C22semidirect
96. #2764C22semidirect
98. #2763C22semidirect
101. #2755C22semidirect
102. #2755C22semidirect
107. #2750C22semidirect
109. #2749C22semidirect
113. #2745C22semidirect
114. #2738C22semidirect
115. #2738C22semidirect
126. #2720C22semidirect
127. #2719C22semidirect
128. #2719C22semidirect
133. #2716C22semidirect
134. #2716C22semidirect
136. #2713C22semidirect
137. #2713C22semidirect
139. #2712C22semidirect
145. #2698C22semidirect
148. #2695C22semidirect
151. #2690C22semidirect
161. #2683C22semidirect
163. #2680C22semidirect
167. #2674C22semidirect
168. #2674C22semidirect
174. #2666C22semidirect
178. #2653C22semidirect
182. #2647C22semidirect
183. #2642C22semidirect
186. #2634C22semidirect
187. #2634C22semidirect
189. #2633C22semidirect
193. #2628C22semidirect
194. #2627C22semidirect
195. #2612C22semidirect
196. #2606C22semidirect
204. #2594C22semidirect
205. #2593C22semidirect
208. #2586C22semidirect
209. #2581C22semidirect
211. #2579C22semidirect
213. #2578C22semidirect
214. #2577C22semidirect
215. #2577C22semidirect
218. #2575C22semidirect
219. #2575C22semidirect
221. #2568C22semidirect
231. #2556C22semidirect
233. #2555C22semidirect
236. #2550C22semidirect
237. #2550C22semidirect
238. #2550C22semidirect
239. #2549C22semidirect
241. #2547C22semidirect
245. #2536C22semidirect
247. #2533C22semidirect
248. #2533C22semidirect
252. #2532C22semidirect
254. #2531C22semidirect
256. #2528C22semidirect
258. #2527C22semidirect
260. #2525C22semidirect
261. #2524C22semidirect
262. #2524C22semidirect
265. #2523C22semidirect
267. #2521C22semidirect
268. #2520C22semidirect
271. #2519C22semidirect
274. #2517C22semidirect
276. #2515C22semidirect
277. #2514C22semidirect
278. #2514C22semidirect
283. #2510C22semidirect
284. #2507C22semidirect
285. #2505C22semidirect
286. #2505C22semidirect
294. #2488C22semidirect
297. #2481C22semidirect
301. #2477C22semidirect
304. #2473C22semidirect
305. #2473C22semidirect
315. #2460C22semidirect
322. #2449C22semidirect
323. #2449C22semidirect
326. #2446C22semidirect
328. #2442C22semidirect
330. #2427C22semidirect
332. #2425C22semidirect
333. #2423C22semidirect
335. #2421C22semidirect
336. #2421C22semidirect
341. #2401C22semidirect
343. #2381C22semidirect
344. #2379C22semidirect
347. #2373C22semidirect
349. #2372C22semidirect
350. #2368C22semidirect
351. #2368C22semidirect
352. #2364C22semidirect
353. #2362C22semidirect
357. #2356C22semidirect
358. #2355C22semidirect
360. #2353C22semidirect
362. #2345C22semidirect
365. #2337C22semidirect
366. #2336C22semidirect
370. #2329C22semidirect
371. #2329C22semidirect
373. #2323C22semidirect
375. C4×C22⋊Q8C22semidirect
376. C4×#123C22semidirect
378. C2×#387C22semidirect

Maximal subgroups

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

subgroupindex
#595292
#590772
#587552
#584302
#582802
#567582
#545612
#543912
#543542
#535122
#520732
#505202
#504002
#503632
#496162
#494082
#485342
#482132
#472772
#472152
#469312
#448342
#445552
#438002
#437202
#437182
#437012
#427932
#418172
#417282
#397552
#391252
#385462
#378282
#369222