Finite Group Databasebeta

← #9910666

Subgroups — #9910666

Order 512.

4543 conjugacy classes of subgroups.

The subgroup lattice has 2286 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#58910C212yesmaximal, complemented
2#57959C212yesmaximal, complemented
3#57614C212yesmaximal, complemented
4#56567C212yesmaximal, complemented
5#56476C212yesmaximal, complemented
6#56471C212yesmaximal, complemented
7#56431C212yesmaximal, complemented
8#56382C212yesmaximal, complemented
9#55294C212yesmaximal, complemented
10#54748C212yesmaximal, complemented
11#54626C212yesmaximal, complemented
12#54608C212yesmaximal, complemented
13#54065C212yesmaximal, complemented
14#54062C212yesmaximal, complemented
15#53626C212yesmaximal, complemented
16#53310C212yesmaximal, complemented
17#53230C212yesmaximal, complemented
18#53187C212yesmaximal, complemented
19#52085C211yesmaximal, characteristic, complemented
20#52009C212yesmaximal, complemented
21#51873C211yesmaximal, characteristic, complemented
22#51831C211yesmaximal, characteristic, complemented
23#51542C211yesmaximal, characteristic, complemented
24#51531C211yesmaximal, characteristic, complemented
25#51531C211yesmaximal, characteristic, complemented
26#50178C212yesmaximal, complemented
27#49555C212yesmaximal, complemented
28#46348C211yesmaximal, characteristic, complemented
29#46325C211yesmaximal, characteristic, complemented
30#46296C212yesmaximal, complemented
31#46269C211yesmaximal, characteristic, complemented
32#45937C212yesmaximal, complemented
33#45533C212yesmaximal, complemented
34#39363C211yesmaximal, characteristic, complemented
35#38081C211yesmaximal, characteristic, complemented
36#37675C211yesmaximal, characteristic, complemented
37#37266C211yesmaximal, characteristic, complemented
38#37258C211yesmaximal, characteristic, complemented
39#37190C211yesmaximal, characteristic, complemented
40C2×#563C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#552C2211yescharacteristic
43C2×#550C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#540C2212yes—
47C2×#536C2211yescharacteristic
48C2×#536C2211yescharacteristic
49C2×#536C2211yescharacteristic
50C22×C4⋊Q8C2211yescharacteristic
51#2865C2212yes—
52#2864C2212yes—
53#2858C2211yescharacteristic
54#2857C2211yescharacteristic
55#2854C2212yes—
56#2853C2212yes—
57#2852C2212yes—
58#2852C2212yes—
59#2850C2211yescharacteristic
60#2839C2212yes—
61#2839C2212yes—
62#2838C2212yes—
63#2837C2212yes—
64#2836C2212yes—
65#2836C2212yes—
66#2836C2212yes—
67#2835C2212yes—
68#2834C2212yes—
69#2833C2212yes—
70#2831C2212yes—
71#2831C2212yes—
72#2827C2212yes—
73#2827C2212yes—
74#2827C2212yes—
75#2827C2212yes—
76#2826C2212yes—
77#2821C2212yes—
78#2809C2211yescharacteristic
79#2807C2212yes—
80#2807C2212yes—
81#2807C2212yes—
82#2805C2212yes—
83#2803C2212yes—
84#2802C2212yes—
85#2800C2212yes—
86#2797C2212yes—
87#2796C2212yes—
88#2796C2212yes—
89#2796C2212yes—
90#2795C2212yes—
91#2794C2212yes—
92#2792C2212yes—
93#2791C2212yes—
94#2790C2212yes—
95#2790C2212yes—
96#2790C2212yes—
97#2788C2212yes—
98#2786C2212yes—
99#2784C2212yes—
100#2782C2212yes—
101#2782C2212yes—
102#2782C2212yes—
103#2781C2212yes—
104#2781C2212yes—
105#2780C2212yes—
106#2780C2212yes—
107#2780C2212yes—
108#2780C2212yes—
109#2779C2212yes—
110#2777C2212yes—
111#2776C2212yes—
112#2774C2212yes—
113#2774C2212yes—
114#2772C2212yes—
115#2771C2212yes—
116#2769C2212yes—
117#2767C2212yes—
118#2767C2212yes—
119#2766C2212yes—
120#2765C2212yes—
121#2764C2212yes—
122#2762C2212yes—
123#2761C2212yes—
124#2761C2212yes—
125#2757C2212yes—
126#2755C2212yes—
127#2754C2212yes—
128#2753C2212yes—
129#2753C2212yes—
130#2751C2212yes—
131#2750C2212yes—
132#2750C2212yes—
133#2750C2212yes—
134#2749C2212yes—
135#2748C2212yes—
136#2747C2212yes—
137#2746C2212yes—
138#2746C2212yes—
139#2746C2212yes—
140#2745C2212yes—
141#2744C2212yes—
142#2744C2212yes—
143#2743C2212yes—
144#2743C2212yes—
145#2743C2212yes—
146#2741C2212yes—
147#2740C2212yes—
148#2739C2212yes—
149#2739C2212yes—
150#2738C2212yes—
151#2738C2212yes—
152#2734C2212yes—
153#2734C2211yescharacteristic
154#2734C2211yescharacteristic
155#2734C2211yescharacteristic
156#2734C2211yescharacteristic
157#2733C2211yescharacteristic
158#2732C2212yes—
159#2731C2211yescharacteristic
160#2731C2212yes—
161#2731C2211yescharacteristic
162#2731C2211yescharacteristic
163#2731C2211yescharacteristic
164#2730C2212yes—
165#2730C2212yes—
166#2730C2212yes—
167#2729C2212yes—
168#2729C2212yes—
169#2729C2212yes—
170#2729C2212yes—
171#2729C2212yes—
172#2729C2212yes—
173#2729C2212yes—
174#2728C2212yes—
175#2726C2212yes—
176#2724C2212yes—
177#2723C2212yes—
178#2720C2212yes—
179#2718C2212yes—
180#2718C2212yes—
181#2717C2212yes—
182#2716C2212yes—
183#2716C2212yes—
184#2715C2212yes—
185#2714C2212yes—
186#2713C2212yes—
187#2713C2212yes—
188#2713C2212yes—
189#2711C2212yes—
190#2711C2212yes—
191#2710C2212yes—
192#2709C2212yes—
193#2709C2212yes—
194#2708C2212yes—
195#2708C2212yes—
196#2708C2212yes—
197#2707C2212yes—
198#2706C2212yes—
199#2705C2212yes—
200#2701C2212yes—
201#2699C2212yes—
202#2698C2212yes—
203#2698C2212yes—
204#2696C2212yes—
205#2695C2212yes—
206#2694C2212yes—
207#2691C2212yes—
208#2691C2212yes—
209#2689C2212yes—
210#2689C2212yes—
211#2688C2212yes—
212#2688C2212yes—
213#2688C2212yes—
214#2688C2212yes—
215#2686C2212yes—
216#2686C2212yes—
217#2686C2212yes—
218#2686C2212yes—
219#2681C2212yes—
220#2681C2212yes—
221#2681C2212yes—
222#2681C2212yes—
223#2681C2212yes—
224#2680C2212yes—
225#2680C2212yes—
226#2677C2212yes—
227#2677C2212yes—
228#2677C2212yes—
229#2676C2212yes—
230#2674C2212yes—
231#2674C2212yes—
232#2674C2212yes—
233#2674C2212yes—
234#2674C2212yes—
235#2673C2212yes—
236#2673C2212yes—
237#2672C2212yes—
238#2672C2212yes—
239#2672C2212yes—
240#2672C2212yes—
241#2672C2212yes—
242#2671C2212yes—
243#2671C2212yes—
244#2671C2212yes—
245#2667C2212yes—
246#2660C2212yes—
247#2658C2211yescharacteristic
248#2653C2212yes—
249#2653C2212yes—
250#2652C2212yes—
251#2649C2212yes—
252#2646C2212yes—
253#2643C2212yes—
254#2642C2211yescharacteristic
255#2636C2212yes—
256#2634C2212yes—
257#2633C2212yes—
258#2630C2212yes—
259#2628C2212yes—
260#2628C2212yes—
261#2624C2212yes—
262#2623C2212yes—
263#2621C2211yescharacteristic
264#2621C2211yescharacteristic
265#2620C2211yescharacteristic
266#2620C2211yescharacteristic
267#2618C2212yes—
268#2614C2212yes—
269#2611C2212yes—
270#2609C2212yes—
271#2609C2212yes—
272#2603C2212yes—
273#2600C2212yes—
274#2599C2212yes—
275#2598C2212yes—
276#2597C2212yes—
277#2583C2212yes—
278#2579C2212yes—
279#2576C2212yes—
280#2576C2212yes—
281#2565C2211yescharacteristic
282#2557C2212yes—
283#2553C2212yes—
284#2553C2212yes—
285#2548C2211yescharacteristic
286#2546C2211yescharacteristic
287#2546C2211yescharacteristic
288#2546C2211yescharacteristic
289#2545C2211yescharacteristic
290#2533C2212yes—
291#2533C2212yes—
292#2531C2212yes—
293#2528C2212yes—
294#2527C2212yes—
295#2526C2212yes—
296#2526C2212yes—
297#2525C2212yes—
298#2524C2212yes—
299#2510C2212yes—
300#2505C2212yes—
301#2505C2212yes—
302#2505C2212yes—
303#2503C2211yescharacteristic
304#2499C2211yescharacteristic
305#2498C2212yes—
306#2498C2212yes—
307#2485C2212yes—
308#2484C2212yes—
309#2481C2212yes—
310#2479C2212yes—
311#2477C2212yes—
312#2476C2212yes—
313#2476C2212yes—
314#2475C2212yes—
315#2475C2212yes—
316#2474C2212yes—
317#2473C2212yes—
318#2471C2212yes—
319#2471C2212yes—
320#2470C2212yes—
321#2470C2212yes—
322#2470C2212yes—
323#2466C2212yes—
324#2462C2212yes—
325#2462C2212yes—
326#2459C2212yes—
327#2458C2212yes—
328#2457C2212yes—
329#2457C2212yes—
330#2452C2212yes—
331#2452C2212yes—
332#2450C2212yes—
333#2450C2212yes—
334#2450C2212yes—
335#2449C2212yes—
336#2449C2212yes—
337#2449C2212yes—
338#2445C2212yes—
339#2445C2212yes—
340#2444C2212yes—
341#2444C2212yes—
342#2444C2212yes—
343#2443C2212yes—
344#2443C2212yes—
345#2443C2212yes—
346#2443C2212yes—
347#2443C2212yes—
348#2441C2212yes—
349#2440C2212yes—
350#2440C2212yes—
351#2438C2212yes—
352#2438C2212yes—
353#2438C2212yes—
354#2438C2212yes—
355#2438C2212yes—
356#2436C2211yescharacteristic
357#2436C2211yescharacteristic
358#2436C2211yescharacteristic
359#2434C2211yescharacteristic
360#2434C2211yescharacteristic
361#2434C2211yescharacteristic
362#2434C2211yescharacteristic
363#2432C2211yescharacteristic
364#2432C2211yescharacteristic
365#2432C2211yescharacteristic
366#2430C2212yes—
367#2430C2212yes—
368#2430C2212yes—
369#2430C2212yes—
370#2426C2212yes—
371#2422C2212yes—
372#2419C2212yes—
373#2419C2212yes—
374#2419C2212yes—
375#2413C2212yes—
376#2413C2212yes—
377#2409C2212yes—
378#2406C2212yes—
379#2406C2212yes—
380#2381C2211yescharacteristic
381#2380C2212yes—
382#2379C2211yescharacteristic
383#2379C2211yescharacteristic
384#2377C2212yes—
385#2376C2212yes—
386#2372C2211yescharacteristic
387#2327C2211yescharacteristic
388#2327C2211yescharacteristic
389#2310C2211yescharacteristic
390C4×C4⋊Q8C2211yescharacteristic
391C2×#391C2211yescharacteristic
392#2293C2211yescharacteristic
393#2290C2211yescharacteristic
394#2290C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C22×#41C2311yescharacteristic
397C22×#41C2311yescharacteristic
398C23×Q8C2311yescharacteristic
399C23×Q8C2311yescharacteristic
400C23×Q8C2311yescharacteristic
401#563—44no—
402#555—44no—
403#552—44no—
404#550—44no—
405D4×Q8—44no—
406#548—44no—
407#540—48no—
408#536—44no—
409#536—44no—
410#536—44no—
411C2×C4⋊Q8—44no—
412C2×C4⋊Q8C2311yescharacteristic
413C2×C4⋊Q8C2311yescharacteristic
414C2×C4⋊Q8C2311yescharacteristic
415C2×C4⋊Q8C2311yescharacteristic
416C2×C4⋊Q8C2311yescharacteristic
417C2×C4⋊Q8C2311yescharacteristic
418C2×C4⋊Q8C2311yescharacteristic
419C2×C4⋊Q8C2311yescharacteristic
420C2×C4⋊Q8C2311yescharacteristic
421C2×C4⋊Q8C2311yescharacteristic
422C2×C4⋊Q8C2311yescharacteristic
423C2×C4⋊Q8C2311yescharacteristic
424C2×C4⋊Q8C2312yes—
425C2×C4⋊Q8C2312yes—
426C2×C4⋊Q8C2311yescharacteristic
427C2×C4⋊Q8C2311yescharacteristic
428C2×C4⋊Q8C2311yescharacteristic
429C2×#127C2312yes—
430C2×#127C2311yescharacteristic
431C2×#126C2312yes—
432C2×#126C2312yes—
433C2×#126C2312yes—
434C2×#126C2312yes—
435C2×#125C2311yescharacteristic
436C2×#125C2312yes—
437C2×#125C2312yes—
438C2×#125C2312yes—
439C2×#124C2311yescharacteristic
440C2×#124C2311yescharacteristic
441C2×#124C2311yescharacteristic
442C2×#124C2311yescharacteristic
443C2×#124C2311yescharacteristic
444C2×#124C2311yescharacteristic
445C2×#124C2311yescharacteristic
446C2×#124C2312yes—
447C2×#124C2312yes—
448C2×#124C2311yescharacteristic
449C2×#124C2311yescharacteristic
450C2×#124C2311yescharacteristic
451C2×#123C2312yes—
452C2×#123C2312yes—
453C2×#123C2312yes—
454C2×#123C2312yes—
455C2×#123C2312yes—
456C2×#123C2312yes—
457C2×#123C2312yes—
458C2×#123C2312yes—
459C2×#123C2312yes—
460C2×#123C2312yes—
461C2×#123C2312yes—
462C2×#123C2312yes—
463C2×#123C2312yes—
464C2×#123C2312yes—
465C2×#123C2312yes—
466C2×C22⋊Q8C2311yescharacteristic
467C2×C22⋊Q8C2311yescharacteristic
468C2×C22⋊Q8C2311yescharacteristic
469C2×C22⋊Q8C2311yescharacteristic
470C2×C22⋊Q8C2311yescharacteristic
471C2×C22⋊Q8C2311yescharacteristic
472C2×C22⋊Q8C2311yescharacteristic
473C2×C22⋊Q8C2311yescharacteristic
474C2×C22⋊Q8C2311yescharacteristic
475C2×C22⋊Q8C2312yes—
476C2×C22⋊Q8C2312yes—
477C2×C22⋊Q8C2312yes—
478C2×C22⋊Q8C2312yes—
479C2×C22⋊Q8C2312yes—
480C2×C22⋊Q8C2312yes—
481C2×C22⋊Q8C2312yes—
482C2×C22⋊Q8C2312yes—
483C2×C22⋊Q8C2312yes—
484C2×C22⋊Q8C2312yes—
485C2×#121C2312yes—
486C2×#121C2311yescharacteristic
487C2×#121C2312yes—
488C2×#121C2311yescharacteristic
489C2×#121C2311yescharacteristic
490C2×#121C2312yes—
491C2×#121C2312yes—
492C2×#121C2312yes—
493C2×#121C2312yes—
494C2×#121C2312yes—
495C2×#121C2312yes—
496C2×#121C2312yes—
497C2×#121C2312yes—
498C2×#121C2312yes—
499C2×C4×Q8C2311yescharacteristic
500C2×C4×Q8C2311yescharacteristic
501C2×C4×Q8C2311yescharacteristic
502C2×C4×Q8C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C2×#117C2311yescharacteristic
514C2×#117C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2311yescharacteristic
518C2×#117C2312yes—
519C2×#117C2311yescharacteristic
520C22×C4⋊C4C2311yescharacteristic
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C42C2311yescharacteristic
525C22×C42C2311yescharacteristic
526#401C2312yes—
527#401C2312yes—
528#401C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#400C2312yes—
543#400C2312yes—
544#400C2312yes—
545#400C2312yes—
546#400C2312yes—
547#400C2312yes—
548#400C2312yes—
549#400C2312yes—
550#400C2312yes—
551#400C2312yes—
552#400C2312yes—
553#400C2312yes—
554#400C2312yes—
555#400C2312yes—
556#400C2312yes—
557#400C2312yes—
558#400C2312yes—
559#400C2312yes—
560#400C2312yes—
561#400C2312yes—
562#400C2312yes—
563#400C2312yes—
564#400C2312yes—
565#400C2312yes—
566#400C2312yes—
567#400C2312yes—
568#400C2312yes—
569#400C2312yes—
570#400C2312yes—
571#400C2312yes—
572#399C2312yes—
573#399C2312yes—
574#399C2312yes—
575#399C2312yes—
576#399C2312yes—
577#399C2312yes—
578#399C2312yes—
579#399C2312yes—
580#399C2312yes—
581#399C2312yes—
582#399C2312yes—
583#399C2312yes—
584#399C2312yes—
585#399C2312yes—
586#399C2312yes—
587#399C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#398C2312yes—
617#398C2312yes—
618#398C2312yes—
619#398C2312yes—
620#398C2312yes—
621#398C2312yes—
622#398C2312yes—
623#398C2312yes—
624#398C2312yes—
625#398C2312yes—
626#398C2312yes—
627#398C2312yes—
628#398C2312yes—
629#398C2312yes—
630#398C2312yes—
631#398C2312yes—
632#398C2312yes—
633#397C2312yes—
634#397C2312yes—
635#397C2312yes—
636#397C2312yes—
637#397C2312yes—
638#397C2312yes—
639#397C2312yes—
640#397C2312yes—
641#397C2312yes—
642#397C2312yes—
643#397C2312yes—
644#397C2312yes—
645#397C2312yes—
646#397C2312yes—
647#397C2312yes—
648#397C2312yes—
649#397C2312yes—
650#397C2312yes—
651#397C2312yes—
652#397C2312yes—
653#397C2312yes—
654#397C2312yes—
655#397C2312yes—
656#397C2312yes—
657#397C2312yes—
658#397C2312yes—
659#397C2312yes—
660#397C2312yes—
661#397C2312yes—
662#397C2312yes—
663#397C2312yes—
664#397C2312yes—
665#397C2312yes—
666#397C2312yes—
667#397C2312yes—
668#397C2312yes—
669#396C2312yes—
670#396C2312yes—
671#396C2312yes—
672#396C2312yes—
673#396C2312yes—
674#396C2312yes—
675#396C2312yes—
676#396C2312yes—
677#396C2312yes—
678#396C2312yes—
679#396C2312yes—
680#396C2312yes—
681#396C2312yes—
682#396C2312yes—
683#396C2312yes—
684#396C2312yes—
685#396C2312yes—
686#396C2312yes—
687#396C2312yes—
688#396C2312yes—
689#396C2312yes—
690#396C2312yes—
691#396C2312yes—
692#396C2312yes—
693#396C2312yes—
694#396C2312yes—
695#396C2312yes—
696#395C2312yes—
697#395C2312yes—
698#395C2312yes—
699#395C2312yes—
700#395C2312yes—
701#395C2312yes—
702#395C2312yes—
703#395C2312yes—
704#395C2312yes—
705#395C2312yes—
706#395C2312yes—
707#395C2312yes—
708#395C2312yes—
709#395C2312yes—
710#395C2312yes—
711#395C2312yes—
712#395C2312yes—
713#395C2312yes—
714#395C2312yes—
715#394C2312yes—
716#394C2312yes—
717#394C2312yes—
718#394C2312yes—
719#394C2312yes—
720#394C2312yes—
721#394C2312yes—
722#394C2312yes—
723#394C2312yes—
724#394C2312yes—
725#394C2312yes—
726#394C2312yes—
727#394C2312yes—
728#394C2312yes—
729#394C2312yes—
730#394C2312yes—
731#394C2312yes—
732#394C2312yes—
733#394C2312yes—
734#394C2312yes—
735#394C2312yes—
736#394C2312yes—
737#394C2312yes—
738#394C2312yes—
739#394C2312yes—
740#394C2312yes—
741#394C2312yes—
742#394C2312yes—
743#394C2312yes—
744#394C2312yes—
745#394C2312yes—
746#394C2312yes—
747#394C2312yes—
748#394C2312yes—
749#394C2312yes—
750#394C2312yes—
751#394C2312yes—
752#394C2312yes—
753#394C2312yes—
754#394C2312yes—
755#394C2312yes—
756#394C2312yes—
757#393C2312yes—
758#393C2312yes—
759#393C2312yes—
760#393C2312yes—
761#393C2312yes—
762#393C2312yes—
763#393C2312yes—
764#393C2312yes—
765#393C2312yes—
766#393C2312yes—
767#393C2312yes—
768#393C2312yes—
769#393C2312yes—
770#392C2312yes—
771#392C2312yes—
772#392C2312yes—
773#392C2312yes—
774#392C2312yes—
775#392C2312yes—
776#392C2312yes—
777#392C2312yes—
778#391C2311yescharacteristic
779#391C2311yescharacteristic
780#391C2311yescharacteristic
781#391C2311yescharacteristic
782#391C2311yescharacteristic
783#391C2311yescharacteristic
784#391C2311yescharacteristic
785#391C2312yes—
786#391C2312yes—
787#391C2311yescharacteristic
788#391C2312yes—
789#391C2311yescharacteristic
790#391C2311yescharacteristic
791#391C2311yescharacteristic
792#391C2311yescharacteristic
793#391C2311yescharacteristic
794#391C2311yescharacteristic
795#391C2311yescharacteristic
796#391C2311yescharacteristic
797#391C2311yescharacteristic
798#391C2312yes—
799#391C2311yescharacteristic
800#391C2311yescharacteristic
801#391C2312yes—
802#391C2312yes—
803#390C2311yescharacteristic
804#390C2312yes—
805#390C2312yes—
806#390C2312yes—
807#390C2312yes—
808#390C2312yes—
809#390C2312yes—
810#390C2312yes—
811#390C2311yescharacteristic
812#390C2311yescharacteristic
813#390C2312yes—
814#390C2312yes—
815#390C2312yes—
816#390C2312yes—
817#390C2312yes—
818#390C2312yes—
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
826#389C2312yes—
827#389C2312yes—
828#389C2312yes—
829#389C2312yes—
830#389C2312yes—
831#389C2312yes—
832#389C2312yes—
833#389C2312yes—
834#389C2312yes—
835#389C2312yes—
836#389C2312yes—
837#389C2312yes—
838#389C2312yes—
839#389C2312yes—
840#389C2312yes—
841#389C2312yes—
842#389C2312yes—
843#389C2312yes—
844#389C2312yes—
845#389C2312yes—
846#389C2312yes—
847#389C2312yes—
848#389C2312yes—
849#389C2312yes—
850#389C2312yes—
851#389C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
860#388C2312yes—
861#388C2312yes—
862#388C2312yes—
863#388C2312yes—
864#388C2312yes—
865#388C2312yes—
866#388C2312yes—
867#388C2312yes—
868#388C2312yes—
869#388C2312yes—
870#388C2312yes—
871#388C2312yes—
872#388C2312yes—
873#388C2312yes—
874#388C2312yes—
875#388C2312yes—
876#388C2312yes—
877#388C2312yes—
878#388C2312yes—
879#388C2312yes—
880#388C2312yes—
881#388C2312yes—
882#388C2312yes—
883#388C2312yes—
884#388C2312yes—
885#388C2312yes—
886#388C2312yes—
887#388C2312yes—
888#388C2312yes—
889#388C2312yes—
890#388C2312yes—
891#388C2312yes—
892#388C2312yes—
893#388C2312yes—
894#388C2312yes—
895#388C2312yes—
896#388C2312yes—
897#388C2312yes—
898#388C2312yes—
899#388C2312yes—
900#388C2312yes—
901#388C2312yes—
902#388C2312yes—
903#388C2312yes—
904#388C2312yes—
905#388C2312yes—
906#388C2312yes—
907#388C2312yes—
908#388C2312yes—
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#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
961#387C2312yes—
962#387C2312yes—
963#387C2312yes—
964#387C2312yes—
965#387C2312yes—
966#387C2312yes—
967#387C2312yes—
968#387C2312yes—
969#387C2312yes—
970#387C2312yes—
971#387C2312yes—
972#387C2312yes—
973#387C2312yes—
974#387C2312yes—
975#387C2312yes—
976#386C2312yes—
977#386C2312yes—
978#386C2312yes—
979#386C2312yes—
980#386C2312yes—
981#386C2312yes—
982#386C2312yes—
983#386C2312yes—
984#386C2312yes—
985#386C2312yes—
986#386C2312yes—
987#386C2312yes—
988#386C2312yes—
989#386C2312yes—
990#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
998#386C2312yes—
999#386C2312yes—
1000#386C2312yes—
1001#386C2312yes—
1002#386C2312yes—
1003#386C2312yes—
1004#386C2312yes—
1005#386C2312yes—
1006#386C2312yes—
1007#386C2312yes—
1008#386C2312yes—
1009#386C2312yes—
1010#386C2312yes—
1011#386C2312yes—
1012#386C2312yes—
1013#386C2312yes—
1014#386C2312yes—
1015#386C2312yes—
1016#386C2312yes—
1017#386C2312yes—
1018#386C2312yes—
1019#386C2312yes—
1020#386C2312yes—
1021#386C2312yes—
1022#386C2312yes—
1023#386C2312yes—
1024#386C2312yes—
1025#386C2312yes—
1026#385C2312yes—
1027#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#385C2312yes—
1036#385C2312yes—
1037#385C2312yes—
1038#385C2312yes—
1039#385C2312yes—
1040#385C2312yes—
1041#385C2312yes—
1042#385C2312yes—
1043#385C2312yes—
1044#385C2312yes—
1045#385C2312yes—
1046#385C2312yes—
1047#385C2312yes—
1048#385C2312yes—
1049#385C2312yes—
1050#385C2312yes—
1051#385C2312yes—
1052#385C2312yes—
1053#385C2312yes—
1054#385C2312yes—
1055#385C2312yes—
1056#385C2312yes—
1057#385C2312yes—
1058#385C2312yes—
1059#385C2312yes—
1060#385C2312yes—
1061#385C2312yes—
1062#385C2312yes—
1063#385C2312yes—
1064#385C2312yes—
1065#385C2312yes—
1066#385C2312yes—
1067#385C2312yes—
1068#385C2312yes—
1069#385C2312yes—
1070#385C2312yes—
1071#385C2312yes—
1072#385C2312yes—
1073#385C2312yes—
1074#385C2312yes—
1075#385C2312yes—
1076#385C2312yes—
1077#385C2312yes—
1078#385C2312yes—
1079#385C2312yes—
1080#385C2312yes—
1081#385C2312yes—
1082#385C2312yes—
1083#385C2312yes—
1084#384C2311yescharacteristic
1085#384C2311yescharacteristic
1086#384C2312yes—
1087#384C2312yes—
1088#383C2312yes—
1089#383C2312yes—
1090#383C2312yes—
1091#383C2312yes—
1092#382C2311yescharacteristic
1093#382C2312yes—
1094#382C2311yescharacteristic
1095#382C2311yescharacteristic
1096#382C2312yes—
1097#382C2312yes—
1098#382C2312yes—
1099#382C2312yes—
1100#382C2312yes—
1101#381C2312yes—
1102#381C2312yes—
1103#381C2312yes—
1104#381C2312yes—
1105#381C2312yes—
1106#381C2312yes—
1107#381C2312yes—
1108#381C2312yes—
1109#381C2312yes—
1110#381C2312yes—
1111#381C2312yes—
1112#381C2312yes—
1113#380C2312yes—
1114#380C2312yes—
1115#380C2312yes—
1116#380C2312yes—
1117#380C2312yes—
1118#380C2312yes—
1119#380C2312yes—
1120#380C2312yes—
1121#380C2312yes—
1122#380C2312yes—
1123#380C2312yes—
1124#380C2312yes—
1125#380C2312yes—
1126#380C2312yes—
1127#380C2312yes—
1128#380C2312yes—
1129C4×C4⋊C4C2312yes—
1130C4×C4⋊C4C2312yes—
1131C4×C4⋊C4C2311yescharacteristic
1132C4×C4⋊C4C2311yescharacteristic
1133C4×C4⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2311yescharacteristic
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2312yes—
1139C4×C22⋊C4C2312yes—
1140C4×C22⋊C4C2311yescharacteristic
1141C4×C22⋊C4C2311yescharacteristic
1142C4×C22⋊C4C2311yescharacteristic
1143C4×C22⋊C4C2311yescharacteristic
1144C4×C22⋊C4C2311yescharacteristic
1145#376C2311yescharacteristic
1146#376C2311yescharacteristic
1147#376C2312yes—
1148C2×#95C2312yes—
1149C2×#95C2312yes—
1150C2×#95C2312yes—
1151C2×#95C2312yes—
1152C43C2311yescharacteristic
1153C2×#41—42no—
1154C2×#41—42no—
1155C2×#41—42no—
1156C2×#41—42no—
1157C2×#41—42no—
1158C2×#41—42no—
1159C2×#41—81no—
1160C2×#41—81no—
1161C2×#41—81no—
1162C22×Q8—24no—
1163C22×Q8—24no—
1164C22×Q8—42no—
1165C22×Q8—42no—
1166C22×Q8—42no—
1167C22×Q8—42no—
1168C22×Q8—81no—
1169C22×Q8—81no—
1170C22×Q8—81no—
1171C22×Q8C2411yescharacteristic
1172C22×Q8C2411yescharacteristic
1173C22×Q8C2411yescharacteristic
1174C22×Q8C2411yescharacteristic
1175C22×Q8C2411yescharacteristic
1176C22×Q8C2411yescharacteristic
1177C22×Q8C2411yescharacteristic
1178C22×Q8C2411yescharacteristic
1179C22×Q8C2411yescharacteristic
1180C22×Q8C2411yescharacteristic
1181C22×Q8C2412yes—
1182C22×Q8C2411yescharacteristic
1183C22×D4C2412yes—
1184C22×D4C2412yes—
1185C22×D4C2412yes—
1186C22×D4C2412yes—
1187C22×D4C2412yes—
1188C22×D4C2412yes—
1189C22×D4C2411yescharacteristic
1190C22×D4C2411yescharacteristic
1191C22×D4C2412yes—
1192C22×D4C2411yescharacteristic
1193C22×D4C2412yes—
1194C22×D4C2412yes—
1195C22×D4C2412yes—
1196C22×D4C2412yes—
1197C22×D4C2412yes—
1198C22×D4C2411yescharacteristic
1199C23×C4C2411yescharacteristic
1200C23×C4C2411yescharacteristic
1201C23×C4C2411yescharacteristic
1202C23×C4C2411yescharacteristic
1203C23×C4C2411yescharacteristic
1204C23×C4C2411yescharacteristic
1205C23×C4C2412yes—
1206C23×C4C2412yes—
1207C23×C4C2412yes—
1208C23×C4C2412yes—
1209C23×C4C2412yes—
1210C23×C4C2412yes—
1211C23×C4C2412yes—
1212C23×C4C2412yes—
1213C23×C4C2412yes—
1214C23×C4C2412yes—
1215C23×C4C2412yes—
1216C23×C4C2412yes—
1217C23×C4C2412yes—
1218C4⋊Q8—24no—
1219C4⋊Q8—24no—
1220C4⋊Q8—24no—
1221C4⋊Q8—24no—
1222C4⋊Q8—42no—
1223C4⋊Q8—42no—
1224C4⋊Q8—42no—
1225C4⋊Q8—42no—
1226C4⋊Q8—42no—
1227C4⋊Q8—42no—
1228C4⋊Q8—42no—
1229C4⋊Q8—42no—
1230C4⋊Q8—44no—
1231C4⋊Q8—44no—
1232C4⋊Q8—81no—
1233C4⋊Q8—81no—
1234C4⋊Q8—81no—
1235#127—28no—
1236#127—42no—
1237#126—44no—
1238#126—44no—
1239#126—44no—
1240#126—82no—
1241#125—44no—
1242#125—42no—
1243#125—44no—
1244#125—44no—
1245#124—24no—
1246#124—24no—
1247#124—24no—
1248#124—42no—
1249#124—42no—
1250#124—42no—
1251#124—42no—
1252#124—44no—
1253#124—44no—
1254#124—81no—
1255#124—81no—
1256#124—81no—
1257#123—28no—
1258#123—44no—
1259#123—44no—
1260#123—44no—
1261#123—44no—
1262#123—44no—
1263#123—44no—
1264#123—44no—
1265#123—44no—
1266#123—44no—
1267#123—44no—
1268#123—82no—
1269#123—82no—
1270#123—82no—
1271#123—82no—
1272C22⋊Q8—42no—
1273C22⋊Q8—42no—
1274C22⋊Q8—42no—
1275C22⋊Q8—42no—
1276C22⋊Q8—42no—
1277C22⋊Q8—42no—
1278C22⋊Q8—42no—
1279C22⋊Q8—42no—
1280C22⋊Q8—42no—
1281C22⋊Q8—44no—
1282C22⋊Q8—44no—
1283C22⋊Q8—44no—
1284C22⋊Q8—44no—
1285C22⋊Q8—44no—
1286C22⋊Q8—44no—
1287C22⋊Q8—44no—
1288C22⋊Q8—44no—
1289C22⋊Q8—44no—
1290C22⋊Q8—82no—
1291#121—28no—
1292#121—44no—
1293#121—44no—
1294#121—44no—
1295#121—44no—
1296#121—44no—
1297#121—44no—
1298#121—44no—
1299#121—44no—
1300#121—44no—
1301#121—42no—
1302#121—42no—
1303#121—42no—
1304#121—82no—
1305C4×Q8—42no—
1306C4×Q8—42no—
1307C4×Q8—42no—
1308C4×Q8—42no—
1309C4×D4—24no—
1310C4×D4—24no—
1311C4×D4—24no—
1312C4×D4—44no—
1313C4×D4—44no—
1314C4×D4—44no—
1315C4×D4—44no—
1316C4×D4—44no—
1317#117—42no—
1318#117—42no—
1319#117—42no—
1320#117—44no—
1321#117—44no—
1322#117—44no—
1323#117—42no—
1324#117—44no—
1325#117—81no—
1326C2×C4⋊C4—44no—
1327C2×C4⋊C4—44no—
1328C2×C4⋊C4—42no—
1329C2×C4⋊C4—82no—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2411yescharacteristic
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2411yescharacteristic
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2411yescharacteristic
1370C2×C4⋊C4C2411yescharacteristic
1371C2×C4⋊C4C2411yescharacteristic
1372C2×C4⋊C4C2411yescharacteristic
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2411yescharacteristic
1378C2×C4⋊C4C2411yescharacteristic
1379C2×C4⋊C4C2411yescharacteristic
1380C2×C4⋊C4C2411yescharacteristic
1381C2×C4⋊C4C2411yescharacteristic
1382C2×C4⋊C4C2411yescharacteristic
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2412yes—
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2412yes—
1402C2×C4⋊C4C2412yes—
1403C2×C4⋊C4C2412yes—
1404C2×C4⋊C4C2412yes—
1405C2×C4⋊C4C2412yes—
1406C2×C4⋊C4C2412yes—
1407C2×C4⋊C4C2412yes—
1408C2×C4⋊C4C2412yes—
1409C2×C4⋊C4C2412yes—
1410C2×C4⋊C4C2412yes—
1411C2×C4⋊C4C2412yes—
1412C2×C4⋊C4C2412yes—
1413C2×C4⋊C4C2412yes—
1414C2×C4⋊C4C2412yes—
1415C2×C4⋊C4C2412yes—
1416C2×C4⋊C4C2412yes—
1417C2×C4⋊C4C2412yes—
1418C2×C4⋊C4C2412yes—
1419C2×C4⋊C4C2412yes—
1420C2×C4⋊C4C2412yes—
1421C2×C4⋊C4C2412yes—
1422C2×C4⋊C4C2412yes—
1423C2×C22⋊C4C2411yescharacteristic
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2411yescharacteristic
1430C2×C22⋊C4C2411yescharacteristic
1431C2×C22⋊C4C2411yescharacteristic
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2411yescharacteristic
1435C2×C22⋊C4C2411yescharacteristic
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2412yes—
1462C2×C22⋊C4C2412yes—
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C22⋊C4C2412yes—
1468C2×C22⋊C4C2412yes—
1469C2×C22⋊C4C2412yes—
1470C2×C22⋊C4C2412yes—
1471C2×C22⋊C4C2412yes—
1472C2×C22⋊C4C2412yes—
1473C2×C22⋊C4C2412yes—
1474C2×C22⋊C4C2412yes—
1475C2×C22⋊C4C2412yes—
1476C2×C22⋊C4C2412yes—
1477C2×C22⋊C4C2412yes—
1478C2×C22⋊C4C2412yes—
1479C2×C22⋊C4C2412yes—
1480C2×C22⋊C4C2412yes—
1481C2×C22⋊C4C2412yes—
1482C2×C22⋊C4C2412yes—
1483C2×C22⋊C4C2412yes—
1484C2×C22⋊C4C2412yes—
1485C2×C22⋊C4C2412yes—
1486C2×C22⋊C4C2412yes—
1487C2×C22⋊C4C2412yes—
1488C2×C22⋊C4C2412yes—
1489C2×C22⋊C4C2412yes—
1490C2×C22⋊C4C2412yes—
1491C2×C22⋊C4C2412yes—
1492C2×C22⋊C4C2412yes—
1493C2×C22⋊C4C2412yes—
1494C2×C22⋊C4C2412yes—
1495C2×C22⋊C4C2412yes—
1496C2×C22⋊C4C2412yes—
1497C2×C22⋊C4C2412yes—
1498C2×C22⋊C4C2412yes—
1499C2×C22⋊C4C2412yes—
1500C2×C22⋊C4C2412yes—
1501C2×C22⋊C4C2412yes—
1502C2×C22⋊C4C2412yes—
1503C2×C22⋊C4C2412yes—
1504C2×C22⋊C4C2412yes—
1505C2×C22⋊C4C2412yes—
1506C2×C42—42no—
1507C2×C42—81no—
1508C2×C42C2411yescharacteristic
1509C2×C42C2411yescharacteristic
1510C2×C42C2411yescharacteristic
1511C2×C42C2412yes—
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518C2×C42C2411yescharacteristic
1519C2×C42C2412yes—
1520C2×C42C2412yes—
1521C2×C42C2412yes—
1522C2×C42C2412yes—
1523C2×C42C2411yescharacteristic
1524C2×C42C2411yescharacteristic
1525C2×C42C2412yes—
1526C2×C42C2411yescharacteristic
1527C2×C42C2411yescharacteristic
1528C2×C42C2412yes—
1529C2×C42C2412yes—
1530C2×C42C2411yescharacteristic
1531C2×C42C2412yes—
1532C2×C42C2412yes—
1533C2×C42C2412yes—
1534C2×C42C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619#95C2412yes—
1620#95C2412yes—
1621#95C2412yes—
1622#95C2412yes—
1623#95C2412yes—
1624#95C2412yes—
1625#95C2412yes—
1626#95C2412yes—
1627#95C2412yes—
1628#95C2412yes—
1629#95C2412yes—
1630#95C2412yes—
1631#95C2412yes—
1632#95C2412yes—
1633#95C2412yes—
1634#95C2412yes—
1635#95C2412yes—
1636#95C2412yes—
1637#95C2412yes—
1638#95C2412yes—
1639#95C2412yes—
1640C24C2512yes—
1641C24C2512yes—
1642C24C2512yes—
1643C24C2511yescharacteristic
1644C24C2511yescharacteristic
1645#41—88no—
1646#41—88no—
1647#41—88no—
1648C2×Q8—22no—
1649C2×Q8—22no—
1650C2×Q8—22no—
1651C2×Q8—22no—
1652C2×Q8—22no—
1653C2×Q8—22no—
1654C2×Q8—22no—
1655C2×Q8—22no—
1656C2×Q8—22no—
1657C2×Q8—22no—
1658C2×Q8—41no—
1659C2×Q8—41no—
1660C2×Q8—41no—
1661C2×Q8—41no—
1662C2×Q8—41no—
1663C2×Q8—41no—
1664C2×Q8—41no—
1665C2×Q8—41no—
1666C2×Q8—42no—
1667C2×Q8—41no—
1668C2×Q8—41no—
1669C2×Q8—41no—
1670C2×Q8—41no—
1671C2×Q8—41no—
1672C2×Q8—41no—
1673C2×Q8—42no—
1674C2×Q8—41no—
1675C2×Q8—41no—
1676C2×Q8—41no—
1677C2×Q8—42no—
1678C2×Q8—41no—
1679C2×Q8—41no—
1680C2×Q8—41no—
1681C2×Q8—41no—
1682C2×Q8—41no—
1683C2×Q8—88no—
1684C2×Q8—88no—
1685C2×Q8—88no—
1686C2×Q8H(5,𝔽2)14yes—
1687C2×D4—24no—
1688C2×D4—24no—
1689C2×D4—24no—
1690C2×D4—24no—
1691C2×D4—24no—
1692C2×D4—24no—
1693C2×D4—24no—
1694C2×D4—22no—
1695C2×D4—22no—
1696C2×D4—22no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—41no—
1700C2×D4—41no—
1701C2×D4—41no—
1702C2×D4—42no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—41no—
1709C2×D4—41no—
1710C2×D4—41no—
1711C2×D4—42no—
1712C2×D4—42no—
1713C2×D4—42no—
1714C2×D4—42no—
1715C2×D4—42no—
1716C2×D4—42no—
1717C2×D4—42no—
1718C2×D4—42no—
1719C2×D4—42no—
1720C2×D4—42no—
1721C2×D4—42no—
1722C2×D4—42no—
1723C2×D4—42no—
1724C2×D4—42no—
1725C2×D4—42no—
1726C2×D4—42no—
1727C2×D4—42no—
1728C2×D4—42no—
1729C2×D4—42no—
1730C2×D4—42no—
1731C2×D4—42no—
1732C2×D4—42no—
1733C2×D4H(5,𝔽2)14yes—
1734C22×C4—22no—
1735C22×C4—22no—
1736C22×C4—22no—
1737C22×C4—22no—
1738C22×C4—22no—
1739C22×C4—22no—
1740C22×C4—24no—
1741C22×C4—24no—
1742C22×C4—22no—
1743C22×C4—22no—
1744C22×C4—22no—
1745C22×C4—22no—
1746C22×C4—22no—
1747C22×C4—22no—
1748C22×C4—42no—
1749C22×C4—41no—
1750C22×C4—41no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—41no—
1754C22×C4—41no—
1755C22×C4—41no—
1756C22×C4—41no—
1757C22×C4—42no—
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—42no—
1771C22×C4—42no—
1772C22×C4—42no—
1773C22×C4—42no—
1774C22×C4—42no—
1775C22×C4—42no—
1776C22×C4—42no—
1777C22×C4—42no—
1778C22×C4—42no—
1779C22×C4—42no—
1780C22×C4—42no—
1781C22×C4—42no—
1782C22×C4—42no—
1783C22×C4—42no—
1784C22×C4—42no—
1785C22×C4—42no—
1786C22×C4—42no—
1787C22×C4—42no—
1788C22×C4—42no—
1789C22×C4—42no—
1790C22×C4—42no—
1791C22×C4C2512yes—
1792C22×C4C2512yes—
1793C22×C4C2512yes—
1794C22×C4C2511yescharacteristic
1795C22×C4C2512yes—
1796C22×C4C2512yes—
1797C22×C4C2512yes—
1798C22×C4C2512yes—
1799C22×C4C2512yes—
1800C22×C4C2512yes—
1801C22×C4C2512yes—
1802C22×C4C2512yes—
1803C22×C4C2512yes—
1804C22×C4C2512yes—
1805C22×C4C2512yes—
1806C22×C4C2512yes—
1807C22×C4C2511yescharacteristic
1808C22×C4C2511yescharacteristic
1809C22×C4C2512yes—
1810C22×C4C2512yes—
1811C22×C4C2511yescharacteristic
1812C22×C4C2512yes—
1813C22×C4C2512yes—
1814C22×C4C2511yescharacteristic
1815C22×C4C2511yescharacteristic
1816C22×C4C2511yescharacteristic
1817C22×C4C2512yes—
1818C22×C4C2511yescharacteristic
1819C22×C4C2511yescharacteristic
1820C22×C4C2512yes—
1821C22×C4C2511yescharacteristic
1822C22×C4C2511yescharacteristic
1823C22×C4C2511yescharacteristic
1824C22×C4C2511yescharacteristic
1825C4⋊C4—24no—
1826C4⋊C4—24no—
1827C4⋊C4—24no—
1828C4⋊C4—24no—
1829C4⋊C4—24no—
1830C4⋊C4—24no—
1831C4⋊C4—24no—
1832C4⋊C4—22no—
1833C4⋊C4—22no—
1834C4⋊C4—22no—
1835C4⋊C4—24no—
1836C4⋊C4—24no—
1837C4⋊C4—24no—
1838C4⋊C4—24no—
1839C4⋊C4—41no—
1840C4⋊C4—41no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—41no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—42no—
1884C4⋊C4—42no—
1885C4⋊C4—41no—
1886C4⋊C4—42no—
1887C4⋊C4—41no—
1888C4⋊C4—41no—
1889C4⋊C4—41no—
1890C4⋊C4—41no—
1891C4⋊C4—42no—
1892C4⋊C4—42no—
1893C4⋊C4—42no—
1894C4⋊C4—42no—
1895C4⋊C4—41no—
1896C4⋊C4—41no—
1897C4⋊C4—41no—
1898C4⋊C4—41no—
1899C4⋊C4—41no—
1900C4⋊C4—41no—
1901C4⋊C4—42no—
1902C4⋊C4—42no—
1903C4⋊C4—42no—
1904C4⋊C4—42no—
1905C4⋊C4—42no—
1906C4⋊C4—42no—
1907C4⋊C4—42no—
1908C4⋊C4—42no—
1909C4⋊C4—42no—
1910C4⋊C4—42no—
1911C4⋊C4—42no—
1912C4⋊C4—42no—
1913C4⋊C4—42no—
1914C4⋊C4—42no—
1915C4⋊C4—42no—
1916C4⋊C4—42no—
1917C4⋊C4—42no—
1918C22⋊C4—22no—
1919C22⋊C4—24no—
1920C22⋊C4—24no—
1921C22⋊C4—22no—
1922C22⋊C4—22no—
1923C22⋊C4—22no—
1924C22⋊C4—22no—
1925C22⋊C4—22no—
1926C22⋊C4—24no—
1927C22⋊C4—24no—
1928C22⋊C4—24no—
1929C22⋊C4—24no—
1930C22⋊C4—24no—
1931C22⋊C4—24no—
1932C22⋊C4—24no—
1933C22⋊C4—24no—
1934C22⋊C4—24no—
1935C22⋊C4—42no—
1936C22⋊C4—42no—
1937C22⋊C4—42no—
1938C22⋊C4—42no—
1939C22⋊C4—42no—
1940C22⋊C4—42no—
1941C22⋊C4—42no—
1942C22⋊C4—42no—
1943C22⋊C4—42no—
1944C22⋊C4—42no—
1945C22⋊C4—42no—
1946C22⋊C4—42no—
1947C22⋊C4—42no—
1948C22⋊C4—42no—
1949C22⋊C4—42no—
1950C22⋊C4—42no—
1951C22⋊C4—42no—
1952C22⋊C4—42no—
1953C22⋊C4—42no—
1954C22⋊C4—42no—
1955C22⋊C4—42no—
1956C22⋊C4—42no—
1957C22⋊C4—42no—
1958C22⋊C4—42no—
1959C22⋊C4—42no—
1960C22⋊C4—42no—
1961C22⋊C4—42no—
1962C22⋊C4—42no—
1963C22⋊C4—42no—
1964C22⋊C4—42no—
1965C22⋊C4—42no—
1966C22⋊C4—42no—
1967C22⋊C4—42no—
1968C22⋊C4—42no—
1969C22⋊C4—42no—
1970C22⋊C4—42no—
1971C22⋊C4—42no—
1972C22⋊C4—42no—
1973C22⋊C4—42no—
1974C22⋊C4—42no—
1975C22⋊C4—42no—
1976C22⋊C4—42no—
1977C22⋊C4—42no—
1978C22⋊C4—42no—
1979C22⋊C4—42no—
1980C22⋊C4—42no—
1981C22⋊C4—42no—
1982C22⋊C4—42no—
1983C22⋊C4—42no—
1984C22⋊C4—42no—
1985C22⋊C4—42no—
1986C22⋊C4—42no—
1987C22⋊C4—42no—
1988C22⋊C4—42no—
1989C22⋊C4—42no—
1990C22⋊C4—42no—
1991C22⋊C4—42no—
1992C22⋊C4—42no—
1993C22⋊C4—42no—
1994C22⋊C4—42no—
1995C22⋊C4—42no—
1996C22⋊C4—42no—
1997C22⋊C4—42no—
1998C22⋊C4—42no—
1999C22⋊C4—42no—
2000C22⋊C4—42no—
2001C42—22no—
2002C42—22no—
2003C42—22no—
2004C42—22no—
2005C42—22no—
2006C42—24no—
2007C42—22no—
2008C42—22no—
2009C42—22no—
2010C42—22no—
2011C42—22no—
2012C42—42no—
2013C42—41no—
2014C42—42no—
2015C42—41no—
2016C42—42no—
2017C42—42no—
2018C42—42no—
2019C42—42no—
2020C42—42no—
2021C42—42no—
2022C42—42no—
2023C42—42no—
2024C42—41no—
2025C42—42no—
2026C42—41no—
2027C42—41no—
2028C23—21no—
2029C23—21no—
2030C23—21no—
2031C23—21no—
2032C23—22no—
2033C23—22no—
2034C23—22no—
2035C23—22no—
2036C23—22no—
2037C23—22no—
2038C23—22no—
2039C23—22no—
2040C23—22no—
2041C23—22no—
2042C23—22no—
2043C23—22no—
2044C23—22no—
2045C23—22no—
2046C23—22no—
2047C23—22no—
2048C23—22no—
2049C23—22no—
2050C23—22no—
2051C23—22no—
2052C23—22no—
2053C23—22no—
2054C23—22no—
2055C23—22no—
2056C23—22no—
2057C23C2×H(5,𝔽2)12yes—
2058C23C2×H(5,𝔽2)12yes—
2059C23C2611yescharacteristic
2060Q8—44no—
2061Q8—44no—
2062Q8—44no—
2063Q8—82no—
2064Q8—82no—
2065Q8—82no—
2066Q8—82no—
2067Q8—82no—
2068Q8—82no—
2069Q8—82no—
2070Q8—82no—
2071Q8—84no—
2072D4—44no—
2073D4—84no—
2074D4—82no—
2075D4—82no—
2076D4—82no—
2077D4—84no—
2078D4—84no—
2079D4—84no—
2080D4—84no—
2081D4—84no—
2082D4—84no—
2083D4—84no—
2084D4—162no—
2085D4—162no—
2086D4—162no—
2087D4—162no—
2088C2×C4—21no—
2089C2×C4—21no—
2090C2×C4—21no—
2091C2×C4—21no—
2092C2×C4—21no—
2093C2×C4—21no—
2094C2×C4—22no—
2095C2×C4—21no—
2096C2×C4—21no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—21no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—21no—
2109C2×C4—21no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—21no—
2118C2×C4—21no—
2119C2×C4—21no—
2120C2×C4—21no—
2121C2×C4—21no—
2122C2×C4—21no—
2123C2×C4—21no—
2124C2×C4—21no—
2125C2×C4—21no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—21no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—21no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—21no—
2137C2×C4—21no—
2138C2×C4—21no—
2139C2×C4—22no—
2140C2×C4—21no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—21no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—22no—
2154C2×C4—22no—
2155C2×C4—22no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—22no—
2168C2×C4—22no—
2169C2×C4—22no—
2170C2×C4—22no—
2171C2×C4—22no—
2172C2×C4—22no—
2173C2×C4—22no—
2174C2×C4—22no—
2175C2×C4—22no—
2176C2×C4—22no—
2177C2×C4—22no—
2178C2×C4—22no—
2179C2×C4—22no—
2180C2×C4—22no—
2181C2×C4—22no—
2182C2×C4—44no—
2183C2×C4—44no—
2184C2×C4—44no—
2185C2×C4—44no—
2186C2×C4—44no—
2187C2×C4—44no—
2188C2×C4—48no—
2189C2×C4—84no—
2190C2×C4—84no—
2191C2×C4—84no—
2192C2×C4—84no—
2193C2×C4—84no—
2194C2×C4—84no—
2195C2×C4—84no—
2196C2×C4—84no—
2197C2×C4—84no—
2198C2×C4—84no—
2199C2×C4—162no—
2200C2×C4—162no—
2201C2×C4C2×H(5,𝔽2)12yes—
2202C2×C4C2×H(5,𝔽2)12yes—
2203C2×C4C2×H(5,𝔽2)12yes—
2204C2×C4C2×H(5,𝔽2)12yes—
2205C22—22no—
2206C22—22no—
2207C22—22no—
2208C22—22no—
2209C22—22no—
2210C22—22no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—42no—
2215C22—42no—
2216C22—42no—
2217C22—42no—
2218C22—42no—
2219C22—42no—
2220C22—42no—
2221C22—42no—
2222C22—42no—
2223C22—42no—
2224C22—42no—
2225C22—42no—
2226C22—42no—
2227C22—42no—
2228C22—42no—
2229C22—42no—
2230C22—42no—
2231C22—42no—
2232C22—42no—
2233C22—42no—
2234C22—42no—
2235C22—42no—
2236C22C22×H(5,𝔽2)11yescharacteristic
2237C22C22×H(5,𝔽2)11yescharacteristic
2238C22H(7,𝔽2)11yescharacteristic
2239C222−1+612yes—
2240C222−1+612yes—
2241C4—22no—
2242C4—22no—
2243C4—22no—
2244C4—22no—
2245C4—42no—
2246C4—42no—
2247C4—42no—
2248C4—42no—
2249C4—42no—
2250C4—42no—
2251C4—42no—
2252C4—42no—
2253C4—42no—
2254C4—42no—
2255C4—42no—
2256C4—42no—
2257C4—41no—
2258C4—41no—
2259C4—42no—
2260C4—42no—
2261C4—41no—
2262C4—42no—
2263C4—42no—
2264C4—42no—
2265C4—41no—
2266C4—41no—
2267C4—41no—
2268C4—41no—
2269C4—41no—
2270C4—41no—
2271C4—42no—
2272C4—42no—
2273C4—42no—
2274C4—42no—
2275C2—42no—
2276C2—42no—
2277C2—82no—
2278C2—82no—
2279C2—82no—
2280C2#6287111yescharacteristic
2281C2#6289211yescharacteristic
2282C2#6297712yes—
2283C2#6304412yes—
2284C2#6306311yescharacteristic
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. #58910C2semidirect
2. #57959C2semidirect
3. #57614C2semidirect
4. #56567C2semidirect
5. #56476C2semidirect
6. #56471C2semidirect
7. #56431C2semidirect
8. #56382C2semidirect
9. #55294C2semidirect
10. #54748C2semidirect
11. #54626C2semidirect
12. #54608C2semidirect
13. #54065C2semidirect
14. #54062C2semidirect
15. #53626C2semidirect
16. #53310C2semidirect
17. #53230C2semidirect
18. #53187C2semidirect
19. #52085C2semidirect
20. #52009C2semidirect
21. #51873C2semidirect
22. #51831C2semidirect
23. #51542C2semidirect
24. #51531C2semidirect
25. #51531C2semidirect
26. #50178C2semidirect
27. #49555C2semidirect
28. #46348C2semidirect
29. #46325C2semidirect
30. #46296C2semidirect
31. #46269C2semidirect
32. #45937C2semidirect
33. #45533C2semidirect
34. #39363C2semidirect
35. #38081C2semidirect
36. #37675C2semidirect
37. #37266C2semidirect
38. #37258C2semidirect
39. #37190C2semidirect

Maximal subgroups

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

subgroupindex
#589102
#579592
#576142
#565672
#564762
#564712
#564312
#563822
#552942
#547482
#546262
#546082
#540652
#540622
#536262
#533102
#532302
#531872
#520852
#520092
#518732
#518312
#515422
#515312
#501782
#495552
#463482
#463252
#462962
#462692
#459372
#455332
#393632
#380812
#376752
#372662
#372582
#371902