Finite Group Databasebeta

← #10216950

Subgroups — #10216950

Order 512.

4291 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#59492C212yesmaximal, complemented
2#59156C212yesmaximal, complemented
3#58504C211yesmaximal, characteristic, complemented
4#58280C212yesmaximal, complemented
5#58148C211yesmaximal, characteristic, complemented
6#57648C212yesmaximal, complemented
7#57422C212yesmaximal, complemented
8#55454C212yesmaximal, complemented
9#54293C212yesmaximal, complemented
10#54150C212yesmaximal, complemented
11#52084C211yesmaximal, characteristic, complemented
12#50548C212yesmaximal, complemented
13#50137C212yesmaximal, complemented
14#49632C212yesmaximal, complemented
15#49466C212yesmaximal, complemented
16#49195C212yesmaximal, complemented
17#48658C212yesmaximal, complemented
18#48534C212yesmaximal, complemented
19#47321C212yesmaximal, complemented
20#47290C212yesmaximal, complemented
21#46815C211yesmaximal, characteristic, complemented
22#44831C211yesmaximal, characteristic, complemented
23#44004C212yesmaximal, complemented
24#43868C212yesmaximal, complemented
25#43800C211yesmaximal, characteristic, complemented
26#43725C212yesmaximal, complemented
27#43617C212yesmaximal, complemented
28#42793C211yesmaximal, characteristic, complemented
29#41565C212yesmaximal, complemented
30#41093C212yesmaximal, complemented
31#39125C212yesmaximal, complemented
32#38559C212yesmaximal, complemented
33#38462C212yesmaximal, complemented
34#37754C212yesmaximal, complemented
35#36772C212yesmaximal, complemented
36C2×Q82C2211yescharacteristic, complemented
37C2×#555C2211yescharacteristic, complemented
38C2×#543C2211yescharacteristic
39C2×#541C2211yescharacteristic
40C2×#529C2212yes—
41#2857C2212yes—
42#2855C2212yes—
43#2838C2212yescomplemented
44#2835C2212yescomplemented
45#2832C2211yescharacteristic, complemented
46#2832C2212yescomplemented
47#2829C2212yes—
48#2826C2212yes—
49#2824C2211yescharacteristic
50#2824C2212yes—
51#2821C2212yes—
52#2817C2211yescharacteristic
53#2814C2212yescomplemented
54#2809C2212yescomplemented
55#2808C2212yes—
56#2807C2211yescharacteristic
57#2804C2212yescomplemented
58#2802C2212yescomplemented
59#2800C2212yes—
60#2799C2211yescharacteristic, complemented
61#2799C2211yescharacteristic, complemented
62#2798C2212yescomplemented
63#2797C2212yes—
64#2796C2212yes—
65#2796C2212yescomplemented
66#2795C2212yes—
67#2793C2212yescomplemented
68#2791C2212yescomplemented
69#2790C2212yes—
70#2790C2212yescomplemented
71#2788C2212yescomplemented
72#2787C2212yes—
73#2786C2212yescomplemented
74#2785C2211yescharacteristic, complemented
75#2783C2212yescomplemented
76#2781C2212yes—
77#2781C2212yes—
78#2781C2212yes—
79#2780C2212yes—
80#2779C2212yes—
81#2779C2212yes—
82#2779C2212yes—
83#2779C2212yescomplemented
84#2778C2212yes—
85#2777C2212yes—
86#2777C2212yescomplemented
87#2775C2212yescomplemented
88#2774C2212yescomplemented
89#2773C2212yes—
90#2772C2212yescomplemented
91#2771C2212yes—
92#2770C2212yes—
93#2770C2212yes—
94#2770C2212yescomplemented
95#2767C2212yescomplemented
96#2767C2212yescomplemented
97#2766C2212yescomplemented
98#2766C2212yescomplemented
99#2765C2212yes—
100#2764C2212yescomplemented
101#2763C2212yescomplemented
102#2763C2212yescomplemented
103#2762C2212yescomplemented
104#2761C2212yescomplemented
105#2759C2212yescomplemented
106#2758C2212yescomplemented
107#2756C2212yes—
108#2755C2212yescomplemented
109#2755C2212yescomplemented
110#2751C2212yes—
111#2751C2212yes—
112#2750C2212yes—
113#2750C2212yescomplemented
114#2749C2212yes—
115#2749C2212yes—
116#2747C2212yes—
117#2746C2212yes—
118#2745C2212yes—
119#2745C2212yescomplemented
120#2743C2212yes—
121#2743C2212yes—
122#2742C2211yescharacteristic
123#2741C2212yes—
124#2740C2212yes—
125#2737C2212yes—
126#2730C2212yes—
127#2730C2212yes—
128#2730C2212yes—
129#2729C2212yes—
130#2723C2212yes—
131#2723C2212yes—
132#2720C2212yes—
133#2717C2212yes—
134#2717C2212yes—
135#2716C2212yes—
136#2716C2212yes—
137#2716C2212yescomplemented
138#2716C2212yescomplemented
139#2716C2212yescomplemented
140#2716C2212yescomplemented
141#2714C2212yes—
142#2714C2212yes—
143#2713C2212yescomplemented
144#2713C2212yescomplemented
145#2711C2212yescomplemented
146#2711C2212yescomplemented
147#2710C2212yes—
148#2708C2212yes—
149#2706C2212yes—
150#2702C2212yes—
151#2702C2212yes—
152#2702C2212yescomplemented
153#2698C2212yes—
154#2690C2212yes—
155#2690C2212yes—
156#2690C2212yes—
157#2690C2212yes—
158#2690C2212yescomplemented
159#2689C2212yes—
160#2689C2212yescomplemented
161#2688C2212yes—
162#2686C2212yes—
163#2686C2212yes—
164#2683C2212yescomplemented
165#2680C2211yescharacteristic, complemented
166#2674C2212yes—
167#2674C2212yes—
168#2674C2212yes—
169#2674C2212yes—
170#2671C2212yes—
171#2670C2211yescharacteristic
172#2670C2212yes—
173#2668C2211yescharacteristic
174#2655C2212yescomplemented
175#2655C2212yescomplemented
176#2654C2212yescomplemented
177#2653C2212yes—
178#2653C2212yescomplemented
179#2650C2212yes—
180#2650C2212yescomplemented
181#2648C2212yes—
182#2642C2212yescomplemented
183#2639C2212yes—
184#2638C2212yes—
185#2638C2212yes—
186#2634C2212yescomplemented
187#2633C2211yescharacteristic, complemented
188#2633C2211yescharacteristic, complemented
189#2630C2212yes—
190#2628C2211yescharacteristic
191#2628C2212yescomplemented
192#2628C2212yescomplemented
193#2627C2212yescomplemented
194#2617C2212yes—
195#2612C2211yescharacteristic, complemented
196#2611C2212yescomplemented
197#2611C2212yescomplemented
198#2605C2212yescomplemented
199#2604C2212yes—
200#2602C2212yes—
201#2598C2211yescharacteristic
202#2598C2211yescharacteristic
203#2597C2212yes—
204#2596C2212yescomplemented
205#2596C2212yescomplemented
206#2595C2212yescomplemented
207#2590C2212yescomplemented
208#2589C2212yes—
209#2589C2212yescomplemented
210#2588C2212yescomplemented
211#2587C2212yescomplemented
212#2586C2212yescomplemented
213#2586C2212yescomplemented
214#2581C2211yescharacteristic, complemented
215#2579C2212yes—
216#2579C2212yes—
217#2578C2212yes—
218#2577C2212yes—
219#2576C2212yes—
220#2575C2212yes—
221#2575C2212yescomplemented
222#2575C2212yescomplemented
223#2575C2212yescomplemented
224#2572C2211yescharacteristic, complemented
225#2571C2211yescharacteristic, complemented
226#2568C2211yescharacteristic, complemented
227#2563C2212yescomplemented
228#2561C2211yescharacteristic
229#2559C2212yescomplemented
230#2558C2212yes—
231#2557C2212yes—
232#2556C2212yes—
233#2556C2212yes—
234#2554C2212yes—
235#2550C2212yescomplemented
236#2550C2212yescomplemented
237#2550C2212yescomplemented
238#2547C2212yes—
239#2547C2212yes—
240#2538C2212yescomplemented
241#2536C2212yes—
242#2536C2212yes—
243#2534C2212yes—
244#2533C2212yescomplemented
245#2533C2212yescomplemented
246#2533C2212yescomplemented
247#2533C2212yescomplemented
248#2531C2212yes—
249#2530C2212yes—
250#2530C2212yes—
251#2529C2212yes—
252#2529C2212yes—
253#2529C2212yescomplemented
254#2528C2212yescomplemented
255#2527C2212yes—
256#2527C2212yescomplemented
257#2526C2212yescomplemented
258#2526C2212yescomplemented
259#2525C2212yes—
260#2524C2212yescomplemented
261#2522C2212yes—
262#2521C2212yescomplemented
263#2519C2212yescomplemented
264#2517C2212yescomplemented
265#2517C2212yescomplemented
266#2516C2212yes—
267#2515C2212yes—
268#2515C2212yes—
269#2515C2212yescomplemented
270#2513C2212yes—
271#2509C2212yescomplemented
272#2505C2212yes—
273#2505C2212yes—
274#2505C2212yescomplemented
275#2499C2211yescharacteristic
276#2498C2212yes—
277#2493C2212yes—
278#2492C2212yes—
279#2491C2212yes—
280#2491C2212yes—
281#2489C2212yes—
282#2488C2212yes—
283#2488C2212yes—
284#2488C2212yes—
285#2488C2212yes—
286#2482C2211yescharacteristic
287#2480C2212yes—
288#2480C2212yes—
289#2479C2212yes—
290#2479C2212yes—
291#2478C2212yescomplemented
292#2477C2212yes—
293#2477C2212yes—
294#2476C2212yescomplemented
295#2475C2212yescomplemented
296#2475C2212yescomplemented
297#2474C2212yes—
298#2474C2212yescomplemented
299#2473C2212yescomplemented
300#2472C2212yes—
301#2470C2212yes—
302#2470C2212yes—
303#2468C2212yes—
304#2467C2212yes—
305#2466C2212yescomplemented
306#2465C2212yes—
307#2464C2212yes—
308#2463C2212yes—
309#2463C2211yescharacteristic
310#2463C2212yes—
311#2459C2212yes—
312#2459C2212yes—
313#2459C2212yes—
314#2457C2212yes—
315#2456C2212yes—
316#2455C2212yes—
317#2449C2212yes—
318#2449C2212yes—
319#2449C2212yes—
320#2449C2212yes—
321#2448C2212yescomplemented
322#2448C2212yescomplemented
323#2448C2212yescomplemented
324#2446C2212yescomplemented
325#2444C2212yescomplemented
326#2443C2212yescomplemented
327#2442C2212yes—
328#2438C2212yes—
329#2437C2211yescharacteristic
330#2437C2211yescharacteristic
331#2421C2212yes—
332#2421C2212yes—
333#2421C2212yes—
334#2418C2212yes—
335#2418C2212yes—
336#2415C2212yes—
337#2415C2212yes—
338#2412C2212yes—
339#2412C2212yes—
340#2401C2212yescomplemented
341#2396C2211yescharacteristic
342#2395C2212yes—
343#2381C2211yescharacteristic, complemented
344#2379C2212yes—
345#2378C2212yescomplemented
346#2374C2212yes—
347#2372C2212yes—
348#2372C2212yescomplemented
349#2371C2212yescomplemented
350#2361C2212yes—
351#2359C2212yes—
352#2359C2212yescomplemented
353#2358C2212yes—
354#2358C2212yes—
355#2356C2211yescharacteristic, complemented
356#2355C2212yescomplemented
357#2353C2212yes—
358#2349C2212yes—
359#2346C2212yes—
360#2345C2212yes—
361#2344C2212yescomplemented
362#2342C2212yes—
363#2337C2212yes—
364#2337C2212yes—
365#2335C2212yes—
366#2334C2212yescomplemented
367#2332C2212yes—
368#2332C2212yes—
369#2332C2211yescharacteristic
370#2329C2212yes—
371#2329C2212yescomplemented
372#2323C2212yescomplemented
373#2323C2212yescomplemented
374#2319C2212yes—
375C4×C22⋊Q8C2212yes—
376#2290C2212yes—
377#2290C2212yes—
378C2×#388C2212yes—
379Q82—44no—
380#555—44no—
381#543—44no—
382#541—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×#125C2312yes—
396C2×#125C2312yes—
397C2×#125C2311yescharacteristic
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2312yes—
404C2×#124C2312yes—
405C2×#124C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#120C2312yes—
432C2×#120C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2311yescharacteristic
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2311yescharacteristic
452C2×#117C2312yes—
453C2×#117C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2312yes—
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2312yes—
460C22×C42C2312yes—
461#401C2312yes—
462#401C2312yes—
463#401C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#400C2312yes—
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2311yescharacteristic
475#400C2311yescharacteristic
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#400C2311yescharacteristic
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#399C2311yescharacteristic
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2311yescharacteristic
523#399C2311yescharacteristic
524#399C2312yes—
525#399C2312yes—
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#397C2312yes—
556#397C2312yes—
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#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#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#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2311yescharacteristic
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2311yescharacteristic
629#395C2312yes—
630#395C2311yescharacteristic
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2311yescharacteristic
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2311yescharacteristic
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#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2312yes—
670#393C2311yescharacteristic
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2311yescharacteristic
679#393C2311yescharacteristic
680#393C2312yes—
681#392C2311yescharacteristic
682#392C2312yes—
683#392C2312yes—
684#392C2311yescharacteristic
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2311yescharacteristic
693#391C2311yescharacteristic
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#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
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#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#388C2312yes—
843#388C2312yes—
844#388C2312yes—
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#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#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#385C2312yes—
959#385C2311yescharacteristic
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2311yescharacteristic
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#384C2311yescharacteristic
1001#384C2312yes—
1002#383C2312yes—
1003#383C2312yes—
1004#383C2312yes—
1005#383C2312yes—
1006#383C2311yescharacteristic
1007#383C2311yescharacteristic
1008#383C2312yes—
1009#382C2312yes—
1010#382C2312yes—
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2312yes—
1015#382C2312yes—
1016#382C2311yescharacteristic
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2311yescharacteristic
1021#382C2312yes—
1022#381C2312yes—
1023#381C2311yescharacteristic
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#381C2312yes—
1028#381C2312yes—
1029#381C2312yes—
1030#381C2312yes—
1031#381C2312yes—
1032#381C2312yes—
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#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#379C2312yes—
1054#379C2311yescharacteristic
1055#379C2311yescharacteristic
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2311yescharacteristic
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—
1099#376C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C25C2411yescharacteristic
1104C22×Q8C2411yescharacteristic
1105C22×Q8C2411yescharacteristic
1106C22×Q8C2412yes—
1107C22×Q8C2411yescharacteristic
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2411yescharacteristic
1113C22×D4C2412yes—
1114C22×D4C2412yes—
1115C22×D4C2412yes—
1116C22×D4C2412yes—
1117C22×D4C2412yes—
1118C22×D4C2412yes—
1119C22×D4C2411yescharacteristic
1120C22×D4C2411yescharacteristic
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C23×C4C2412yes—
1124C23×C4C2412yes—
1125C23×C4C2411yescharacteristic
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2411yescharacteristic
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#125—44no—
1149#125—42no—
1150#125—44no—
1151#125—44no—
1152#125—44no—
1153#124—28no—
1154#124—44no—
1155#124—44no—
1156#124—44no—
1157#124—44no—
1158#124—44no—
1159#123—44no—
1160#123—44no—
1161#123—44no—
1162#123—44no—
1163#123—44no—
1164#123—44no—
1165C22⋊Q8—28no—
1166C22⋊Q8—24no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—42no—
1178C22⋊Q8—44no—
1179C22⋊Q8—42no—
1180#121—44no—
1181#121—44no—
1182#121—44no—
1183#121—44no—
1184#120—44no—
1185#120—44no—
1186C4×Q8—28no—
1187C4×Q8—24no—
1188C4×Q8—44no—
1189C4×Q8—42no—
1190C4×Q8—42no—
1191C4×D4—44no—
1192C4×D4—44no—
1193C4×D4—42no—
1194C4×D4—42no—
1195C4×D4—44no—
1196C4×D4—44no—
1197C4×D4—44no—
1198C4×D4—44no—
1199C4×D4—44no—
1200C4×D4—44no—
1201#117—42no—
1202#117—44no—
1203#117—44no—
1204#117—44no—
1205#117—44no—
1206#117—44no—
1207C2×C4⋊C4—44no—
1208C2×C4⋊C4—44no—
1209C2×C4⋊C4C2412yes—
1210C2×C4⋊C4C2412yes—
1211C2×C4⋊C4C2412yes—
1212C2×C4⋊C4C2412yes—
1213C2×C4⋊C4C2412yes—
1214C2×C4⋊C4C2412yes—
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2412yes—
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2411yescharacteristic
1222C2×C4⋊C4C2411yescharacteristic
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2411yescharacteristic
1233C2×C4⋊C4C2411yescharacteristic
1234C2×C4⋊C4C2412yes—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2411yescharacteristic
1237C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2411yescharacteristic
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×C22⋊C4—44no—
1293C2×C22⋊C4—42no—
1294C2×C22⋊C4—44no—
1295C2×C22⋊C4—44no—
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⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2411yescharacteristic
1370C2×C22⋊C4C2411yescharacteristic
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C42—44no—
1375C2×C42C2412yes—
1376C2×C42C2411yescharacteristic
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2411yescharacteristic
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×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2411yescharacteristic
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#95C2411yescharacteristic
1511#95C2411yescharacteristic
1512#95C2412yes—
1513#95C2412yes—
1514#95C2411yescharacteristic
1515#95C2411yescharacteristic
1516#95C2412yes—
1517#95C2411yescharacteristic
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523C24—24no—
1524C24—41no—
1525C24—42no—
1526C24—41no—
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—41no—
1539C2×Q8—41no—
1540C2×Q8—42no—
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—41no—
1554C2×Q8—41no—
1555C2×Q8H(5,𝔽2)14yes—
1556C2×D4—24no—
1557C2×D4—24no—
1558C2×D4—24no—
1559C2×D4—24no—
1560C2×D4—24no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—41no—
1564C2×D4—41no—
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—42no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—42no—
1583C2×D4—42no—
1584C22×C4—24no—
1585C22×C4—24no—
1586C22×C4—24no—
1587C22×C4—22no—
1588C22×C4—24no—
1589C22×C4—24no—
1590C22×C4—24no—
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—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—41no—
1612C22×C4—42no—
1613C22×C4—41no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—41no—
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×C4C2512yes—
1645C22×C4C2511yescharacteristic
1646C22×C4C2511yescharacteristic
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2511yescharacteristic
1650C22×C4C2512yes—
1651C22×C4C2512yes—
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—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—41no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—41no—
1698C4⋊C4—41no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—42no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—41no—
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—41no—
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—42no—
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—41no—
1771C22⋊C4—42no—
1772C22⋊C4—41no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—41no—
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—
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—22no—
1820C42—24no—
1821C42—24no—
1822C42—22no—
1823C42—24no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—41no—
1830C42—41no—
1831C42—42no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
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—22no—
1867C23—22no—
1868C23—22no—
1869C23—22no—
1870C23—21no—
1871C23—21no—
1872C23—44no—
1873C23—84no—
1874C23—84no—
1875C23—161no—
1876C23—161no—
1877C23#58514yes—
1878C23C2611yescharacteristic
1879Q8—44no—
1880Q8—44no—
1881Q8—82no—
1882Q8—162no—
1883Q8—161no—
1884Q8—162no—
1885Q8—162no—
1886Q8—161no—
1887Q8—161no—
1888D4—48no—
1889D4—84no—
1890D4—84no—
1891D4—84no—
1892D4—84no—
1893D4—82no—
1894D4—82no—
1895D4—84no—
1896D4—162no—
1897D4—162no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—21no—
1902C2×C4—22no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—21no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—21no—
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—21no—
1969C2×C4—21no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
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—84no—
1994C2×C4—84no—
1995C2×C4—161no—
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—42no—
2011C22—41no—
2012C22—42no—
2013C22—41no—
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—42no—
2038C4—41no—
2039C4—41no—
2040C4—42no—
2041C4—42no—
2042C4—42no—
2043C4—42no—
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#6290712yes—
2070C2#6294012yes—
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. #59492C2semidirect
2. #59156C2semidirect
3. #58504C2semidirect
4. #58280C2semidirect
5. #58148C2semidirect
6. #57648C2semidirect
7. #57422C2semidirect
8. #55454C2semidirect
9. #54293C2semidirect
10. #54150C2semidirect
11. #52084C2semidirect
12. #50548C2semidirect
13. #50137C2semidirect
14. #49632C2semidirect
15. #49466C2semidirect
16. #49195C2semidirect
17. #48658C2semidirect
18. #48534C2semidirect
19. #47321C2semidirect
20. #47290C2semidirect
21. #46815C2semidirect
22. #44831C2semidirect
23. #44004C2semidirect
24. #43868C2semidirect
25. #43800C2semidirect
26. #43725C2semidirect
27. #43617C2semidirect
28. #42793C2semidirect
29. #41565C2semidirect
30. #41093C2semidirect
31. #39125C2semidirect
32. #38559C2semidirect
33. #38462C2semidirect
34. #37754C2semidirect
35. #36772C2semidirect
36. C2×Q82C22semidirect
37. C2×#555C22semidirect
43. #2838C22semidirect
44. #2835C22semidirect
45. #2832C22semidirect
46. #2832C22semidirect
53. #2814C22semidirect
54. #2809C22semidirect
57. #2804C22semidirect
58. #2802C22semidirect
60. #2799C22semidirect
61. #2799C22semidirect
62. #2798C22semidirect
65. #2796C22semidirect
67. #2793C22semidirect
68. #2791C22semidirect
70. #2790C22semidirect
71. #2788C22semidirect
73. #2786C22semidirect
74. #2785C22semidirect
75. #2783C22semidirect
83. #2779C22semidirect
86. #2777C22semidirect
87. #2775C22semidirect
88. #2774C22semidirect
90. #2772C22semidirect
94. #2770C22semidirect
95. #2767C22semidirect
96. #2767C22semidirect
97. #2766C22semidirect
98. #2766C22semidirect
100. #2764C22semidirect
101. #2763C22semidirect
102. #2763C22semidirect
103. #2762C22semidirect
104. #2761C22semidirect
105. #2759C22semidirect
106. #2758C22semidirect
108. #2755C22semidirect
109. #2755C22semidirect
113. #2750C22semidirect
119. #2745C22semidirect
137. #2716C22semidirect
138. #2716C22semidirect
139. #2716C22semidirect
140. #2716C22semidirect
143. #2713C22semidirect
144. #2713C22semidirect
145. #2711C22semidirect
146. #2711C22semidirect
152. #2702C22semidirect
158. #2690C22semidirect
160. #2689C22semidirect
164. #2683C22semidirect
165. #2680C22semidirect
174. #2655C22semidirect
175. #2655C22semidirect
176. #2654C22semidirect
178. #2653C22semidirect
180. #2650C22semidirect
182. #2642C22semidirect
186. #2634C22semidirect
187. #2633C22semidirect
188. #2633C22semidirect
191. #2628C22semidirect
192. #2628C22semidirect
193. #2627C22semidirect
195. #2612C22semidirect
196. #2611C22semidirect
197. #2611C22semidirect
198. #2605C22semidirect
204. #2596C22semidirect
205. #2596C22semidirect
206. #2595C22semidirect
207. #2590C22semidirect
209. #2589C22semidirect
210. #2588C22semidirect
211. #2587C22semidirect
212. #2586C22semidirect
213. #2586C22semidirect
214. #2581C22semidirect
221. #2575C22semidirect
222. #2575C22semidirect
223. #2575C22semidirect
224. #2572C22semidirect
225. #2571C22semidirect
226. #2568C22semidirect
227. #2563C22semidirect
229. #2559C22semidirect
235. #2550C22semidirect
236. #2550C22semidirect
237. #2550C22semidirect
240. #2538C22semidirect
244. #2533C22semidirect
245. #2533C22semidirect
246. #2533C22semidirect
247. #2533C22semidirect
253. #2529C22semidirect
254. #2528C22semidirect
256. #2527C22semidirect
257. #2526C22semidirect
258. #2526C22semidirect
260. #2524C22semidirect
262. #2521C22semidirect
263. #2519C22semidirect
264. #2517C22semidirect
265. #2517C22semidirect
269. #2515C22semidirect
271. #2509C22semidirect
274. #2505C22semidirect
291. #2478C22semidirect
294. #2476C22semidirect
295. #2475C22semidirect
296. #2475C22semidirect
298. #2474C22semidirect
299. #2473C22semidirect
305. #2466C22semidirect
321. #2448C22semidirect
322. #2448C22semidirect
323. #2448C22semidirect
324. #2446C22semidirect
325. #2444C22semidirect
326. #2443C22semidirect
340. #2401C22semidirect
343. #2381C22semidirect
345. #2378C22semidirect
348. #2372C22semidirect
349. #2371C22semidirect
352. #2359C22semidirect
355. #2356C22semidirect
356. #2355C22semidirect
361. #2344C22semidirect
366. #2334C22semidirect
371. #2329C22semidirect
372. #2323C22semidirect
373. #2323C22semidirect

Maximal subgroups

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

subgroupindex
#594922
#591562
#585042
#582802
#581482
#576482
#574222
#554542
#542932
#541502
#520842
#505482
#501372
#496322
#494662
#491952
#486582
#485342
#473212
#472902
#468152
#448312
#440042
#438682
#438002
#437252
#436172
#427932
#415652
#410932
#391252
#385592
#384622
#377542
#367722