Finite Group Databasebeta

← #8254798

Subgroups — #8254798

Order 512.

4731 conjugacy classes of subgroups.

The subgroup lattice has 2294 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59100C212yesmaximal, complemented
2#58959C212yesmaximal, complemented
3#57276C212yesmaximal, complemented
4#57192C212yesmaximal, complemented
5#55593C212yesmaximal, complemented
6#55112C212yesmaximal, complemented
7#55065C212yesmaximal, complemented
8#54784C212yesmaximal, complemented
9#53513C212yesmaximal, complemented
10#53347C211yesmaximal, characteristic, complemented
11#53191C211yesmaximal, characteristic, complemented
12#52435C212yesmaximal, complemented
13#52162C211yesmaximal, characteristic, complemented
14#48432C212yesmaximal, complemented
15#47937C212yesmaximal, complemented
16#47723C212yesmaximal, complemented
17#46420C212yesmaximal, complemented
18#46226C212yesmaximal, complemented
19#45963C211yesmaximal, characteristic, complemented
20#45784C211yesmaximal, characteristic, complemented
21#44327C212yesmaximal, complemented
22#44314C212yesmaximal, complemented
23#44233C212yesmaximal, complemented
24#41820C212yesmaximal, complemented
25#41121C212yesmaximal, complemented
26#40346C212yesmaximal, complemented
27#39455C211yesmaximal, characteristic, complemented
28#39439C212yesmaximal, complemented
29#39381C211yesmaximal, characteristic, complemented
30#39356C211yesmaximal, characteristic, complemented
31#39325C212yesmaximal, complemented
32#38702C212yesmaximal, complemented
33#38453C211yesmaximal, characteristic, complemented
34#37256C211yesmaximal, characteristic, complemented
35#37202C211yesmaximal, characteristic, complemented
36#37156C211yesmaximal, characteristic, complemented
37#36480C211yesmaximal, characteristic, complemented
38#36373C211yesmaximal, characteristic, complemented
39#35296C211yesmaximal, characteristic, complemented
40C2×#562C2212yes—
41C2×#548C2212yes—
42C2×#542C2212yes—
43C2×#542C2212yes—
44C2×#536C2212yes—
45C2×#533C2212yes—
46#2864C2211yescharacteristic
47#2863C2211yescharacteristic
48#2863C2211yescharacteristic
49#2861C2211yescharacteristic
50#2858C2211yescharacteristic
51#2858C2211yescharacteristic
52#2857C2211yescharacteristic
53#2854C2211yescharacteristic
54#2854C2211yescharacteristic
55#2850C2212yes—
56#2850C2211yescharacteristic
57#2850C2212yes—
58#2832C2212yes—
59#2831C2212yes—
60#2831C2212yes—
61#2830C2212yes—
62#2827C2212yes—
63#2826C2212yes—
64#2820C2212yes—
65#2820C2212yes—
66#2820C2212yes—
67#2819C2212yes—
68#2819C2212yes—
69#2814C2212yes—
70#2814C2212yes—
71#2813C2212yes—
72#2811C2212yes—
73#2808C2211yescharacteristic
74#2805C2211yescharacteristic
75#2804C2211yescharacteristic
76#2799C2212yes—
77#2798C2212yes—
78#2796C2212yes—
79#2788C2212yes—
80#2784C2212yes—
81#2784C2212yes—
82#2782C2212yes—
83#2781C2212yes—
84#2777C2212yes—
85#2775C2212yes—
86#2775C2212yes—
87#2775C2212yes—
88#2774C2212yes—
89#2772C2212yes—
90#2772C2212yes—
91#2763C2212yes—
92#2756C2212yes—
93#2755C2212yes—
94#2754C2212yes—
95#2752C2212yes—
96#2751C2212yes—
97#2749C2212yes—
98#2748C2212yes—
99#2743C2212yes—
100#2742C2212yes—
101#2740C2212yes—
102#2739C2212yes—
103#2734C2211yescharacteristic
104#2734C2211yescharacteristic
105#2733C2212yes—
106#2733C2211yescharacteristic
107#2733C2212yes—
108#2732C2212yes—
109#2732C2211yescharacteristic
110#2730C2212yes—
111#2730C2212yes—
112#2729C2212yes—
113#2729C2212yes—
114#2727C2211yescharacteristic
115#2727C2211yescharacteristic
116#2726C2211yescharacteristic
117#2725C2212yes—
118#2724C2211yescharacteristic
119#2723C2212yes—
120#2720C2212yes—
121#2720C2212yes—
122#2719C2212yes—
123#2718C2212yes—
124#2717C2212yes—
125#2717C2212yes—
126#2716C2212yes—
127#2716C2212yes—
128#2716C2212yes—
129#2716C2212yes—
130#2715C2212yes—
131#2714C2212yes—
132#2713C2212yes—
133#2712C2212yes—
134#2712C2212yes—
135#2712C2212yes—
136#2712C2212yes—
137#2710C2212yes—
138#2710C2212yes—
139#2710C2212yes—
140#2710C2212yes—
141#2707C2212yes—
142#2705C2212yes—
143#2704C2212yes—
144#2703C2212yes—
145#2703C2212yes—
146#2702C2212yes—
147#2701C2212yes—
148#2701C2212yes—
149#2700C2212yes—
150#2700C2212yes—
151#2700C2212yes—
152#2700C2212yes—
153#2700C2212yes—
154#2696C2212yes—
155#2696C2212yes—
156#2693C2212yes—
157#2693C2212yes—
158#2692C2212yes—
159#2692C2212yes—
160#2692C2212yes—
161#2689C2212yes—
162#2688C2212yes—
163#2686C2212yes—
164#2683C2212yes—
165#2683C2212yes—
166#2683C2211yescharacteristic
167#2683C2212yes—
168#2683C2211yescharacteristic
169#2683C2212yes—
170#2682C2212yes—
171#2682C2212yes—
172#2682C2211yescharacteristic
173#2682C2211yescharacteristic
174#2682C2211yescharacteristic
175#2681C2212yes—
176#2680C2212yes—
177#2677C2212yes—
178#2677C2212yes—
179#2676C2212yes—
180#2676C2212yes—
181#2676C2212yes—
182#2676C2212yes—
183#2676C2212yes—
184#2676C2212yes—
185#2675C2212yes—
186#2674C2212yes—
187#2674C2212yes—
188#2674C2212yes—
189#2674C2212yes—
190#2674C2212yes—
191#2674C2212yes—
192#2673C2212yes—
193#2673C2212yes—
194#2672C2212yes—
195#2672C2212yes—
196#2672C2212yes—
197#2672C2212yes—
198#2671C2212yes—
199#2671C2212yes—
200#2666C2212yes—
201#2665C2212yes—
202#2662C2212yes—
203#2650C2212yes—
204#2650C2212yes—
205#2649C2212yes—
206#2648C2212yes—
207#2648C2212yes—
208#2644C2211yescharacteristic
209#2644C2211yescharacteristic
210#2639C2212yes—
211#2632C2212yes—
212#2631C2212yes—
213#2630C2212yes—
214#2630C2212yes—
215#2628C2211yescharacteristic
216#2625C2212yes—
217#2620C2212yes—
218#2620C2212yes—
219#2619C2211yescharacteristic
220#2615C2212yes—
221#2610C2212yes—
222#2605C2212yes—
223#2605C2212yes—
224#2605C2212yes—
225#2602C2212yes—
226#2597C2212yes—
227#2596C2212yes—
228#2595C2212yes—
229#2595C2212yes—
230#2593C2212yes—
231#2593C2212yes—
232#2592C2212yes—
233#2589C2212yes—
234#2588C2212yes—
235#2587C2212yes—
236#2581C2212yes—
237#2578C2212yes—
238#2574C2212yes—
239#2574C2212yes—
240#2574C2212yes—
241#2567C2211yescharacteristic
242#2560C2212yes—
243#2559C2212yes—
244#2557C2212yes—
245#2557C2212yes—
246#2557C2212yes—
247#2557C2212yes—
248#2557C2212yes—
249#2557C2212yes—
250#2557C2212yes—
251#2556C2212yes—
252#2556C2212yes—
253#2556C2212yes—
254#2556C2212yes—
255#2555C2212yes—
256#2555C2212yes—
257#2555C2212yes—
258#2555C2212yes—
259#2554C2212yes—
260#2554C2212yes—
261#2554C2212yes—
262#2553C2212yes—
263#2551C2211yescharacteristic
264#2550C2211yescharacteristic
265#2549C2212yes—
266#2549C2212yes—
267#2545C2212yes—
268#2545C2212yes—
269#2545C2212yes—
270#2544C2211yescharacteristic
271#2543C2212yes—
272#2540C2212yes—
273#2526C2212yes—
274#2521C2212yes—
275#2517C2212yes—
276#2515C2212yes—
277#2509C2212yes—
278#2497C2211yescharacteristic
279#2497C2211yescharacteristic
280#2492C2211yescharacteristic
281#2492C2212yes—
282#2492C2212yes—
283#2492C2211yescharacteristic
284#2492C2211yescharacteristic
285#2491C2212yes—
286#2491C2212yes—
287#2490C2211yescharacteristic
288#2490C2212yes—
289#2488C2212yes—
290#2488C2212yes—
291#2478C2212yes—
292#2477C2212yes—
293#2476C2212yes—
294#2476C2212yes—
295#2476C2212yes—
296#2474C2212yes—
297#2474C2212yes—
298#2474C2212yes—
299#2474C2212yes—
300#2471C2212yes—
301#2471C2212yes—
302#2471C2212yes—
303#2471C2212yes—
304#2471C2212yes—
305#2471C2212yes—
306#2465C2212yes—
307#2465C2212yes—
308#2465C2212yes—
309#2465C2212yes—
310#2465C2212yes—
311#2465C2212yes—
312#2465C2212yes—
313#2465C2212yes—
314#2461C2212yes—
315#2461C2212yes—
316#2461C2212yes—
317#2461C2212yes—
318#2461C2212yes—
319#2460C2212yes—
320#2460C2212yes—
321#2459C2212yes—
322#2458C2212yes—
323#2456C2212yes—
324#2451C2212yes—
325#2451C2212yes—
326#2450C2212yes—
327#2448C2212yes—
328#2439C2212yes—
329#2439C2212yes—
330#2439C2212yes—
331#2438C2212yes—
332#2436C2212yes—
333#2434C2212yes—
334#2434C2212yes—
335#2432C2212yes—
336#2431C2212yes—
337#2430C2212yes—
338#2429C2212yes—
339#2428C2212yes—
340#2428C2211yescharacteristic
341#2427C2212yes—
342#2427C2212yes—
343#2426C2212yes—
344#2426C2211yescharacteristic
345#2426C2212yes—
346#2426C2212yes—
347#2426C2212yes—
348#2425C2212yes—
349#2425C2212yes—
350#2421C2212yes—
351#2415C2212yes—
352#2409C2212yes—
353#2399C2212yes—
354#2396C2212yes—
355#2396C2212yes—
356#2382C2212yes—
357#2374C2212yes—
358#2372C2212yes—
359#2369C2211yescharacteristic
360#2368C2212yes—
361#2367C2211yescharacteristic
362#2367C2212yes—
363#2367C2212yes—
364#2365C2212yes—
365#2363C2212yes—
366#2362C2212yes—
367#2357C2211yescharacteristic
368#2355C2211yescharacteristic
369#2353C2212yes—
370#2347C2212yes—
371Q8×C22⋊C4C2212yes—
372#2337C2212yes—
373#2337C2212yes—
374#2335C2212yes—
375#2334C2212yes—
376#2333C2212yes—
377#2331C2211yescharacteristic
378#2329C2212yes—
379#2328C2211yescharacteristic
380#2324C2211yescharacteristic
381#2324C2211yescharacteristic
382C4×C4⋊Q8C2211yescharacteristic
383C4×C4⋊Q8C2211yescharacteristic
384C4×C22⋊Q8C2212yes—
385C4×C22⋊Q8C2211yescharacteristic
386C4×#123C2212yes—
387C4×#121C2211yescharacteristic
388#2297C2212yes—
389#2295C2211yescharacteristic
390#2293C2211yescharacteristic
391#2293C2211yescharacteristic
392#2293C2211yescharacteristic
393#2290C2212yes—
394C4×#117C2211yescharacteristic
395C22×#41C2312yes—
396C23×Q8C2312yes—
397#562—48no—
398#548—48no—
399#542—48no—
400#542—48no—
401#536—48no—
402#533—48no—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2312yes—
409C2×C4⋊Q8C2312yes—
410C2×C4⋊Q8C2312yes—
411C2×C4⋊Q8C2312yes—
412C2×C4⋊Q8C2311yescharacteristic
413C2×#127C2311yescharacteristic
414C2×#127C2311yescharacteristic
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2311yescharacteristic
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2312yes—
426C2×#124C2312yes—
427C2×#124C2312yes—
428C2×#124C2312yes—
429C2×#124C2312yes—
430C2×#124C2311yescharacteristic
431C2×#124C2312yes—
432C2×#124C2312yes—
433C2×#124C2312yes—
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2312yes—
437C2×#124C2312yes—
438C2×#124C2312yes—
439C2×#124C2312yes—
440C2×#124C2312yes—
441C2×#124C2311yescharacteristic
442C2×#124C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×#123C2312yes—
450C2×#123C2312yes—
451C2×#123C2312yes—
452C2×#123C2312yes—
453C2×#123C2312yes—
454C2×#123C2312yes—
455C2×#123C2312yes—
456C2×#123C2312yes—
457C2×C22⋊Q8C2312yes—
458C2×C22⋊Q8C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2311yescharacteristic
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×C22⋊Q8C2312yes—
465C2×C22⋊Q8C2312yes—
466C2×C22⋊Q8C2312yes—
467C2×C22⋊Q8C2312yes—
468C2×C22⋊Q8C2312yes—
469C2×C22⋊Q8C2312yes—
470C2×C22⋊Q8C2312yes—
471C2×C22⋊Q8C2312yes—
472C2×C22⋊Q8C2312yes—
473C2×C22⋊Q8C2312yes—
474C2×C22⋊Q8C2312yes—
475C2×C22⋊Q8C2312yes—
476C2×C22⋊Q8C2311yescharacteristic
477C2×C22⋊Q8C2312yes—
478C2×C22⋊Q8C2312yes—
479C2×C22⋊Q8C2312yes—
480C2×#121C2311yescharacteristic
481C2×#121C2311yescharacteristic
482C2×#121C2311yescharacteristic
483C2×#121C2312yes—
484C2×#121C2312yes—
485C2×#121C2312yes—
486C2×#121C2312yes—
487C2×#121C2312yes—
488C2×#121C2312yes—
489C2×#121C2312yes—
490C2×#121C2312yes—
491C2×#121C2312yes—
492C2×#121C2312yes—
493C2×#121C2311yescharacteristic
494C2×#121C2312yes—
495C2×#121C2312yes—
496C2×#121C2312yes—
497C2×#121C2312yes—
498C2×C4×Q8C2311yescharacteristic
499C2×C4×Q8C2312yes—
500C2×C4×Q8C2312yes—
501C2×C4×Q8C2311yescharacteristic
502C2×C4×Q8C2312yes—
503C2×C4×Q8C2312yes—
504C2×C4×Q8C2312yes—
505C2×C4×Q8C2312yes—
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2311yescharacteristic
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2312yes—
510C2×C4×D4C2311yescharacteristic
511C2×C4×D4C2312yes—
512C2×C4×D4C2312yes—
513C2×C4×D4C2312yes—
514C2×#117C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2311yescharacteristic
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2312yes—
521C22×C42C2312yes—
522C22×C42C2311yescharacteristic
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
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#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2312yes—
550#399C2312yes—
551#399C2312yes—
552#399C2312yes—
553#399C2312yes—
554#399C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#394C2312yes—
670#394C2312yes—
671#394C2312yes—
672#394C2312yes—
673#394C2312yes—
674#394C2312yes—
675#394C2312yes—
676#394C2312yes—
677#394C2312yes—
678#394C2312yes—
679#394C2312yes—
680#394C2312yes—
681#394C2312yes—
682#394C2312yes—
683#394C2312yes—
684#394C2312yes—
685#394C2312yes—
686#394C2312yes—
687#394C2312yes—
688#394C2312yes—
689#394C2312yes—
690#394C2312yes—
691#394C2312yes—
692#394C2312yes—
693#394C2312yes—
694#394C2312yes—
695#394C2312yes—
696#394C2312yes—
697#394C2312yes—
698#394C2312yes—
699#394C2312yes—
700#394C2312yes—
701#394C2312yes—
702#394C2312yes—
703#393C2312yes—
704#393C2312yes—
705#393C2312yes—
706#393C2312yes—
707#393C2312yes—
708#393C2312yes—
709#393C2312yes—
710#393C2312yes—
711#393C2312yes—
712#393C2312yes—
713#393C2312yes—
714#393C2312yes—
715#393C2312yes—
716#393C2312yes—
717#393C2312yes—
718#393C2312yes—
719#393C2312yes—
720#393C2312yes—
721#393C2312yes—
722#393C2312yes—
723#393C2312yes—
724#393C2312yes—
725#393C2312yes—
726#392C2312yes—
727#392C2312yes—
728#392C2312yes—
729#392C2312yes—
730#392C2312yes—
731#392C2312yes—
732#392C2312yes—
733#392C2312yes—
734#392C2312yes—
735#392C2312yes—
736#392C2312yes—
737#392C2312yes—
738#392C2312yes—
739#392C2312yes—
740#392C2312yes—
741#392C2312yes—
742#392C2312yes—
743#392C2312yes—
744#392C2312yes—
745#392C2312yes—
746#392C2312yes—
747#391C2312yes—
748#391C2312yes—
749#391C2312yes—
750#391C2311yescharacteristic
751#391C2311yescharacteristic
752#391C2312yes—
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#391C2312yes—
757#391C2312yes—
758#391C2312yes—
759#391C2312yes—
760#391C2312yes—
761#391C2312yes—
762#391C2312yes—
763#391C2312yes—
764#391C2312yes—
765#391C2312yes—
766#391C2312yes—
767#391C2312yes—
768#391C2311yescharacteristic
769#391C2312yes—
770#391C2312yes—
771#391C2312yes—
772#391C2312yes—
773#391C2312yes—
774#391C2312yes—
775#391C2312yes—
776#391C2311yescharacteristic
777#391C2311yescharacteristic
778#391C2311yescharacteristic
779#391C2311yescharacteristic
780#391C2312yes—
781#391C2312yes—
782#391C2311yescharacteristic
783#391C2312yes—
784#391C2312yes—
785#390C2312yes—
786#390C2311yescharacteristic
787#390C2312yes—
788#390C2311yescharacteristic
789#390C2311yescharacteristic
790#390C2312yes—
791#390C2311yescharacteristic
792#390C2311yescharacteristic
793#390C2312yes—
794#390C2312yes—
795#390C2312yes—
796#390C2312yes—
797#390C2312yes—
798#390C2311yescharacteristic
799#390C2312yes—
800#390C2312yes—
801#390C2312yes—
802#390C2312yes—
803#390C2311yescharacteristic
804#390C2311yescharacteristic
805#390C2311yescharacteristic
806#390C2311yescharacteristic
807#390C2311yescharacteristic
808#390C2312yes—
809#390C2311yescharacteristic
810#390C2312yes—
811#390C2311yescharacteristic
812#390C2311yescharacteristic
813#390C2312yes—
814#390C2312yes—
815#390C2312yes—
816#390C2312yes—
817#390C2312yes—
818#390C2312yes—
819#390C2312yes—
820#389C2311yescharacteristic
821#389C2311yescharacteristic
822#389C2311yescharacteristic
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
826#389C2312yes—
827#389C2311yescharacteristic
828#389C2311yescharacteristic
829#389C2312yes—
830#389C2312yes—
831#389C2311yescharacteristic
832#389C2312yes—
833#389C2311yescharacteristic
834#389C2311yescharacteristic
835#389C2311yescharacteristic
836#389C2312yes—
837#389C2312yes—
838#389C2312yes—
839#389C2312yes—
840#389C2311yescharacteristic
841#389C2311yescharacteristic
842#389C2312yes—
843#389C2312yes—
844#389C2311yescharacteristic
845#389C2311yescharacteristic
846#389C2311yescharacteristic
847#389C2312yes—
848#389C2312yes—
849#389C2312yes—
850#389C2312yes—
851#389C2311yescharacteristic
852#389C2311yescharacteristic
853#389C2311yescharacteristic
854#389C2312yes—
855#389C2312yes—
856#389C2312yes—
857#389C2312yes—
858#389C2311yescharacteristic
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#388C2312yes—
910#388C2312yes—
911#388C2312yes—
912#388C2312yes—
913#388C2312yes—
914#388C2312yes—
915#388C2312yes—
916#388C2312yes—
917#388C2312yes—
918#388C2312yes—
919#388C2312yes—
920#388C2312yes—
921#388C2312yes—
922#388C2312yes—
923#388C2312yes—
924#388C2312yes—
925#388C2312yes—
926#388C2312yes—
927#388C2312yes—
928#388C2312yes—
929#388C2312yes—
930#388C2312yes—
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#387C2312yes—
977#387C2312yes—
978#387C2312yes—
979#387C2312yes—
980#387C2312yes—
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#385C2312yes—
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#384C2311yescharacteristic
1056#384C2311yescharacteristic
1057#384C2311yescharacteristic
1058#383C2312yes—
1059#383C2312yes—
1060#383C2312yes—
1061#382C2312yes—
1062#382C2312yes—
1063#382C2312yes—
1064#382C2312yes—
1065#382C2312yes—
1066#382C2311yescharacteristic
1067#382C2311yescharacteristic
1068#382C2311yescharacteristic
1069#381C2312yes—
1070#381C2312yes—
1071#381C2312yes—
1072#381C2312yes—
1073#380C2312yes—
1074#380C2312yes—
1075#380C2312yes—
1076#380C2311yescharacteristic
1077#380C2311yescharacteristic
1078#380C2312yes—
1079#380C2312yes—
1080#380C2312yes—
1081#380C2312yes—
1082#380C2311yescharacteristic
1083#380C2311yescharacteristic
1084#380C2312yes—
1085#380C2312yes—
1086#380C2311yescharacteristic
1087#380C2312yes—
1088#380C2312yes—
1089#380C2311yescharacteristic
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2311yescharacteristic
1096C4×C4⋊C4C2311yescharacteristic
1097C4×C4⋊C4C2311yescharacteristic
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2311yescharacteristic
1102C4×C4⋊C4C2311yescharacteristic
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2311yescharacteristic
1105C4×C4⋊C4C2312yes—
1106C4×C4⋊C4C2312yes—
1107C4×C4⋊C4C2312yes—
1108C4×C4⋊C4C2311yescharacteristic
1109C4×C4⋊C4C2311yescharacteristic
1110C4×C4⋊C4C2312yes—
1111C4×C4⋊C4C2311yescharacteristic
1112C4×C4⋊C4C2311yescharacteristic
1113C4×C4⋊C4C2312yes—
1114C4×C4⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2312yes—
1134C4×C22⋊C4C2311yescharacteristic
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2311yescharacteristic
1138C4×C22⋊C4C2311yescharacteristic
1139C4×C22⋊C4C2312yes—
1140C4×C22⋊C4C2311yescharacteristic
1141#376C2311yescharacteristic
1142#376C2311yescharacteristic
1143#376C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C43C2311yescharacteristic
1147C43C2311yescharacteristic
1148C2×#41—44no—
1149C2×#41—44no—
1150C2×#41—44no—
1151C22×Q8—44no—
1152C22×Q8—44no—
1153C22×Q8—44no—
1154C22×Q8C2412yes—
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2412yes—
1161C22×Q8C2412yes—
1162C22×Q8C2412yes—
1163C22×Q8C2412yes—
1164C22×Q8C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2411yescharacteristic
1167C22×D4C2411yescharacteristic
1168C22×D4C2412yes—
1169C22×D4C2411yescharacteristic
1170C22×D4C2411yescharacteristic
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C22×D4C2412yes—
1181C22×D4C2412yes—
1182C22×D4C2412yes—
1183C22×D4C2412yes—
1184C22×D4C2412yes—
1185C23×C4C2411yescharacteristic
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2411yescharacteristic
1192C23×C4C2412yes—
1193C23×C4C2411yescharacteristic
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C23×C4C2412yes—
1197C23×C4C2412yes—
1198C23×C4C2412yes—
1199C23×C4C2412yes—
1200C4⋊Q8—24no—
1201C4⋊Q8—24no—
1202C4⋊Q8—42no—
1203C4⋊Q8—42no—
1204C4⋊Q8—44no—
1205C4⋊Q8—44no—
1206C4⋊Q8—44no—
1207C4⋊Q8—44no—
1208C4⋊Q8—44no—
1209C4⋊Q8—81no—
1210#127—42no—
1211#127—81no—
1212#126—28no—
1213#126—44no—
1214#126—44no—
1215#126—82no—
1216#125—28no—
1217#125—44no—
1218#125—82no—
1219#125—81no—
1220#124—28no—
1221#124—42no—
1222#124—44no—
1223#124—44no—
1224#124—44no—
1225#124—44no—
1226#124—44no—
1227#124—44no—
1228#124—44no—
1229#124—44no—
1230#124—44no—
1231#124—44no—
1232#124—44no—
1233#124—44no—
1234#124—44no—
1235#124—44no—
1236#124—44no—
1237#124—81no—
1238#124—82no—
1239#124—82no—
1240#123—28no—
1241#123—44no—
1242#123—44no—
1243#123—44no—
1244#123—44no—
1245#123—44no—
1246#123—44no—
1247#123—44no—
1248#123—44no—
1249#123—44no—
1250#123—44no—
1251#123—44no—
1252#123—44no—
1253#123—82no—
1254C22⋊Q8—28no—
1255C22⋊Q8—28no—
1256C22⋊Q8—24no—
1257C22⋊Q8—28no—
1258C22⋊Q8—44no—
1259C22⋊Q8—44no—
1260C22⋊Q8—44no—
1261C22⋊Q8—44no—
1262C22⋊Q8—44no—
1263C22⋊Q8—44no—
1264C22⋊Q8—44no—
1265C22⋊Q8—44no—
1266C22⋊Q8—44no—
1267C22⋊Q8—44no—
1268C22⋊Q8—44no—
1269C22⋊Q8—44no—
1270C22⋊Q8—44no—
1271C22⋊Q8—44no—
1272C22⋊Q8—44no—
1273C22⋊Q8—82no—
1274C22⋊Q8—82no—
1275C22⋊Q8—81no—
1276C22⋊Q8—82no—
1277#121—24no—
1278#121—44no—
1279#121—42no—
1280#121—42no—
1281#121—44no—
1282#121—44no—
1283#121—44no—
1284#121—44no—
1285#121—44no—
1286#121—44no—
1287#121—44no—
1288#121—44no—
1289#121—44no—
1290#121—82no—
1291#121—82no—
1292#121—82no—
1293#121—82no—
1294#121—81no—
1295C4×Q8—24no—
1296C4×Q8—42no—
1297C4×Q8—44no—
1298C4×Q8—44no—
1299C4×Q8—44no—
1300C4×Q8—44no—
1301C4×Q8—44no—
1302C4×Q8—44no—
1303C4×D4—24no—
1304C4×D4—24no—
1305C4×D4—24no—
1306C4×D4—42no—
1307C4×D4—44no—
1308C4×D4—44no—
1309C4×D4—44no—
1310C4×D4—44no—
1311#117—24no—
1312#117—42no—
1313#117—44no—
1314#117—44no—
1315#117—44no—
1316#117—44no—
1317#117—44no—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2411yescharacteristic
1325C2×C4⋊C4C2411yescharacteristic
1326C2×C4⋊C4C2411yescharacteristic
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2411yescharacteristic
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2411yescharacteristic
1368C2×C4⋊C4C2411yescharacteristic
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2411yescharacteristic
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2411yescharacteristic
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2411yescharacteristic
1393C2×C4⋊C4C2411yescharacteristic
1394C2×C4⋊C4C2411yescharacteristic
1395C2×C4⋊C4C2411yescharacteristic
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2411yescharacteristic
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2411yescharacteristic
1402C2×C4⋊C4C2411yescharacteristic
1403C2×C22⋊C4C2411yescharacteristic
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2411yescharacteristic
1409C2×C22⋊C4C2411yescharacteristic
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2411yescharacteristic
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×C42—44no—
1496C2×C42—42no—
1497C2×C42C2411yescharacteristic
1498C2×C42C2411yescharacteristic
1499C2×C42C2411yescharacteristic
1500C2×C42C2412yes—
1501C2×C42C2411yescharacteristic
1502C2×C42C2411yescharacteristic
1503C2×C42C2411yescharacteristic
1504C2×C42C2411yescharacteristic
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2411yescharacteristic
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2412yes—
1512C2×C42C2412yes—
1513C2×C42C2412yes—
1514C2×C42C2412yes—
1515C2×C42C2411yescharacteristic
1516C2×C42C2412yes—
1517C2×C42C2412yes—
1518C2×C42C2412yes—
1519C2×C42C2412yes—
1520C2×C42C2412yes—
1521C2×C42C2411yescharacteristic
1522C2×C42C2412yes—
1523C2×C42C2412yes—
1524C2×C42C2411yescharacteristic
1525C2×C42C2412yes—
1526C2×C42C2412yes—
1527C2×C42C2411yescharacteristic
1528C2×C42C2411yescharacteristic
1529C2×C42C2411yescharacteristic
1530C2×C42C2411yescharacteristic
1531C2×C42C2412yes—
1532C2×C42C2411yescharacteristic
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2411yescharacteristic
1542#95C2412yes—
1543#95C2411yescharacteristic
1544#95C2411yescharacteristic
1545#95C2411yescharacteristic
1546#95C2411yescharacteristic
1547#95C2411yescharacteristic
1548#95C2411yescharacteristic
1549#95C2411yescharacteristic
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—
1629C24C2512yes—
1630C24C2512yes—
1631C24C2511yescharacteristic
1632C24C2512yes—
1633C24C2512yes—
1634#41—816no—
1635C2×Q8—24no—
1636C2×Q8—24no—
1637C2×Q8—24no—
1638C2×Q8—22no—
1639C2×Q8—24no—
1640C2×Q8—22no—
1641C2×Q8—24no—
1642C2×Q8—24no—
1643C2×Q8—24no—
1644C2×Q8—24no—
1645C2×Q8—42no—
1646C2×Q8—42no—
1647C2×Q8—42no—
1648C2×Q8—42no—
1649C2×Q8—42no—
1650C2×Q8—41no—
1651C2×Q8—42no—
1652C2×Q8—42no—
1653C2×Q8—41no—
1654C2×Q8—42no—
1655C2×Q8—42no—
1656C2×Q8—42no—
1657C2×Q8—41no—
1658C2×Q8—42no—
1659C2×Q8—42no—
1660C2×Q8—42no—
1661C2×Q8—41no—
1662C2×Q8—42no—
1663C2×Q8—42no—
1664C2×Q8—42no—
1665C2×Q8—42no—
1666C2×Q8—42no—
1667C2×Q8—42no—
1668C2×Q8—816no—
1669C2×D4—22no—
1670C2×D4—22no—
1671C2×D4—24no—
1672C2×D4—24no—
1673C2×D4—22no—
1674C2×D4—22no—
1675C2×D4—24no—
1676C2×D4—24no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—41no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—41no—
1686C2×D4—41no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—41no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—41no—
1696C2×D4—42no—
1697C2×D4—41no—
1698C2×D4—41no—
1699C2×D4—41no—
1700C2×D4—42no—
1701C2×D4—42no—
1702C2×D4—42no—
1703C2×D4—42no—
1704C2×D4—42no—
1705C2×D4—42no—
1706C2×D4—42no—
1707C2×D4—42no—
1708C2×D4—42no—
1709C2×D4—42no—
1710C2×D4—42no—
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—
1729C22×C4—24no—
1730C22×C4—24no—
1731C22×C4—24no—
1732C22×C4—22no—
1733C22×C4—24no—
1734C22×C4—22no—
1735C22×C4—24no—
1736C22×C4—22no—
1737C22×C4—24no—
1738C22×C4—24no—
1739C22×C4—22no—
1740C22×C4—24no—
1741C22×C4—42no—
1742C22×C4—41no—
1743C22×C4—42no—
1744C22×C4—42no—
1745C22×C4—42no—
1746C22×C4—42no—
1747C22×C4—41no—
1748C22×C4—41no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—41no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4—42no—
1756C22×C4—42no—
1757C22×C4—42no—
1758C22×C4—41no—
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×C4C2511yescharacteristic
1775C22×C4C2512yes—
1776C22×C4C2511yescharacteristic
1777C22×C4C2511yescharacteristic
1778C22×C4C2512yes—
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2511yescharacteristic
1782C22×C4C2512yes—
1783C22×C4C2512yes—
1784C22×C4C2512yes—
1785C22×C4C2512yes—
1786C22×C4C2512yes—
1787C22×C4C2512yes—
1788C22×C4C2512yes—
1789C22×C4C2511yescharacteristic
1790C22×C4C2512yes—
1791C22×C4C2512yes—
1792C22×C4C2512yes—
1793C22×C4C2512yes—
1794C22×C4C2511yescharacteristic
1795C22×C4C2512yes—
1796C22×C4C2512yes—
1797C22×C4C2512yes—
1798C22×C4C2511yescharacteristic
1799C22×C4C2512yes—
1800C22×C4C2512yes—
1801C22×C4C2511yescharacteristic
1802C22×C4C2511yescharacteristic
1803C22×C4C2511yescharacteristic
1804C22×C4C2511yescharacteristic
1805C22×C4C2511yescharacteristic
1806C22×C4C2511yescharacteristic
1807C22×C4C2511yescharacteristic
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—24no—
1811C4⋊C4—24no—
1812C4⋊C4—24no—
1813C4⋊C4—24no—
1814C4⋊C4—24no—
1815C4⋊C4—24no—
1816C4⋊C4—24no—
1817C4⋊C4—24no—
1818C4⋊C4—24no—
1819C4⋊C4—24no—
1820C4⋊C4—24no—
1821C4⋊C4—24no—
1822C4⋊C4—24no—
1823C4⋊C4—24no—
1824C4⋊C4—24no—
1825C4⋊C4—24no—
1826C4⋊C4—22no—
1827C4⋊C4—22no—
1828C4⋊C4—22no—
1829C4⋊C4—22no—
1830C4⋊C4—22no—
1831C4⋊C4—22no—
1832C4⋊C4—22no—
1833C4⋊C4—24no—
1834C4⋊C4—24no—
1835C4⋊C4—41no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—41no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—41no—
1844C4⋊C4—41no—
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—41no—
1855C4⋊C4—41no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—41no—
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—41no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—41no—
1883C4⋊C4—42no—
1884C4⋊C4—41no—
1885C4⋊C4—41no—
1886C4⋊C4—41no—
1887C4⋊C4—41no—
1888C4⋊C4—42no—
1889C4⋊C4—42no—
1890C4⋊C4—42no—
1891C4⋊C4H(5,𝔽2)14yes—
1892C4⋊C4H(5,𝔽2)14yes—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—24no—
1898C22⋊C4—24no—
1899C22⋊C4—24no—
1900C22⋊C4—24no—
1901C22⋊C4—24no—
1902C22⋊C4—24no—
1903C22⋊C4—24no—
1904C22⋊C4—24no—
1905C22⋊C4—24no—
1906C22⋊C4—24no—
1907C22⋊C4—24no—
1908C22⋊C4—22no—
1909C22⋊C4—22no—
1910C22⋊C4—24no—
1911C22⋊C4—24no—
1912C22⋊C4—24no—
1913C22⋊C4—24no—
1914C22⋊C4—24no—
1915C22⋊C4—24no—
1916C22⋊C4—22no—
1917C22⋊C4—24no—
1918C22⋊C4—24no—
1919C22⋊C4—24no—
1920C22⋊C4—24no—
1921C22⋊C4—24no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—41no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
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—
1985C42—24no—
1986C42—24no—
1987C42—22no—
1988C42—22no—
1989C42—22no—
1990C42—22no—
1991C42—24no—
1992C42—22no—
1993C42—22no—
1994C42—22no—
1995C42—22no—
1996C42—24no—
1997C42—41no—
1998C42—41no—
1999C42—42no—
2000C42—42no—
2001C42—41no—
2002C42—42no—
2003C42—41no—
2004C42—41no—
2005C42—42no—
2006C42—42no—
2007C42—42no—
2008C42—42no—
2009C42—42no—
2010C42—42no—
2011C42—42no—
2012C42—42no—
2013C42—42no—
2014C42—42no—
2015C42—41no—
2016C42—42no—
2017C42—42no—
2018C42—41no—
2019C42—42no—
2020C422−1+414yes—
2021C23—22no—
2022C23—22no—
2023C23—21no—
2024C23—22no—
2025C23—22no—
2026C23—22no—
2027C23—22no—
2028C23—22no—
2029C23—22no—
2030C23—21no—
2031C23—21no—
2032C23—22no—
2033C23—22no—
2034C23—22no—
2035C23—22no—
2036C23—22no—
2037C23—22no—
2038C23—22no—
2039C23—21no—
2040C23—22no—
2041C23—22no—
2042C23—22no—
2043C23—21no—
2044C23—22no—
2045C23—22no—
2046C23—22no—
2047C23—21no—
2048C23—22no—
2049C23—22no—
2050C23—22no—
2051C23—22no—
2052C23—22no—
2053C23—22no—
2054C23—22no—
2055C23—21no—
2056C23C2611yescharacteristic
2057Q8—48no—
2058Q8—48no—
2059Q8—84no—
2060Q8—84no—
2061Q8—82no—
2062Q8—82no—
2063Q8—84no—
2064Q8—84no—
2065Q8—84no—
2066Q8—162no—
2067Q8—162no—
2068D4—82no—
2069D4—82no—
2070D4—84no—
2071D4—84no—
2072D4—82no—
2073D4—82no—
2074D4—84no—
2075D4—84no—
2076D4—84no—
2077D4—84no—
2078D4—84no—
2079D4—162no—
2080D4—162no—
2081D4—162no—
2082D4—162no—
2083D4—162no—
2084D4—162no—
2085D4—162no—
2086D4—162no—
2087D4—162no—
2088C2×C4—21no—
2089C2×C4—21no—
2090C2×C4—21no—
2091C2×C4—21no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—21no—
2095C2×C4—21no—
2096C2×C4—21no—
2097C2×C4—21no—
2098C2×C4—21no—
2099C2×C4—21no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—21no—
2103C2×C4—21no—
2104C2×C4—21no—
2105C2×C4—21no—
2106C2×C4—21no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—21no—
2113C2×C4—21no—
2114C2×C4—21no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—21no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—22no—
2123C2×C4—22no—
2124C2×C4—22no—
2125C2×C4—22no—
2126C2×C4—22no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—21no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—21no—
2133C2×C4—21no—
2134C2×C4—22no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—21no—
2139C2×C4—21no—
2140C2×C4—22no—
2141C2×C4—22no—
2142C2×C4—21no—
2143C2×C4—21no—
2144C2×C4—22no—
2145C2×C4—21no—
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—21no—
2161C2×C4—22no—
2162C2×C4—21no—
2163C2×C4—21no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—22no—
2167C2×C4—21no—
2168C2×C4—22no—
2169C2×C4—22no—
2170C2×C4—22no—
2171C2×C4—21no—
2172C2×C4—22no—
2173C2×C4—21no—
2174C2×C4—21no—
2175C2×C4—22no—
2176C2×C4—22no—
2177C2×C4—21no—
2178C2×C4—22no—
2179C2×C4—22no—
2180C2×C4—22no—
2181C2×C4—44no—
2182C2×C4—48no—
2183C2×C4—48no—
2184C2×C4—48no—
2185C2×C4—84no—
2186C2×C4—82no—
2187C2×C4—82no—
2188C2×C4—84no—
2189C2×C4—84no—
2190C2×C4—84no—
2191C2×C4—84no—
2192C2×C4—162no—
2193C2×C4—162no—
2194C2×C4—162no—
2195C2×C4—162no—
2196C2×C4C2×H(5,𝔽2)12yes—
2197C2×C4C2×H(5,𝔽2)12yes—
2198C2×C4C2×H(5,𝔽2)14yes—
2199C2×C4C2×H(5,𝔽2)14yes—
2200C2×C4C2×2−1+412yes—
2201C2×C4C2×2−1+412yes—
2202C2×C4C2×2−1+412yes—
2203C2×C4#58512yes—
2204C2×C4#58512yes—
2205C22—41no—
2206C22—42no—
2207C22—42no—
2208C22—42no—
2209C22—42no—
2210C22—42no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—41no—
2215C22—42no—
2216C22—41no—
2217C22—42no—
2218C22—42no—
2219C22—42no—
2220C22—42no—
2221C22—42no—
2222C22—42no—
2223C22—42no—
2224C22—41no—
2225C22—42no—
2226C22—42no—
2227C22—42no—
2228C22—41no—
2229C22—42no—
2230C22—42no—
2231C22—41no—
2232C22—42no—
2233C22—42no—
2234C22—42no—
2235C22—41no—
2236C22—42no—
2237C22—42no—
2238C22—42no—
2239C22—42no—
2240C22C22×H(5,𝔽2)11yescharacteristic
2241C22C22×H(5,𝔽2)11yescharacteristic
2242C22C22×2−1+411yescharacteristic
2243C22C2×#58511yescharacteristic
2244C22C2×#58511yescharacteristic
2245C22H(7,𝔽2)11yescharacteristic
2246C222−1+611yescharacteristic
2247C4—22no—
2248C4—22no—
2249C4—24no—
2250C4—22no—
2251C4—24no—
2252C4—22no—
2253C4—22no—
2254C4—22no—
2255C4—22no—
2256C4—42no—
2257C4—42no—
2258C4—42no—
2259C4—42no—
2260C4—41no—
2261C4—42no—
2262C4—42no—
2263C4—41no—
2264C4—41no—
2265C4—41no—
2266C4—42no—
2267C4—41no—
2268C4—42no—
2269C4—42no—
2270C4—42no—
2271C4—42no—
2272C4—42no—
2273C4—41no—
2274C4—42no—
2275C4—42no—
2276C4—42no—
2277C4—41no—
2278C4—42no—
2279C4—42no—
2280C4—42no—
2281C2—81no—
2282C2—82no—
2283C2—82no—
2284C2—82no—
2285C2—82no—
2286C2#6275211yescharacteristic
2287C2#6291311yescharacteristic
2288C2#6291711yescharacteristic
2289C2#6293011yescharacteristic
2290C2#6293111yescharacteristic
2291C2#6301211yescharacteristic
2292C2#6306911yescharacteristic
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. #59100C2semidirect
2. #58959C2semidirect
3. #57276C2semidirect
4. #57192C2semidirect
5. #55593C2semidirect
6. #55112C2semidirect
7. #55065C2semidirect
8. #54784C2semidirect
9. #53513C2semidirect
10. #53347C2semidirect
11. #53191C2semidirect
12. #52435C2semidirect
13. #52162C2semidirect
14. #48432C2semidirect
15. #47937C2semidirect
16. #47723C2semidirect
17. #46420C2semidirect
18. #46226C2semidirect
19. #45963C2semidirect
20. #45784C2semidirect
21. #44327C2semidirect
22. #44314C2semidirect
23. #44233C2semidirect
24. #41820C2semidirect
25. #41121C2semidirect
26. #40346C2semidirect
27. #39455C2semidirect
28. #39439C2semidirect
29. #39381C2semidirect
30. #39356C2semidirect
31. #39325C2semidirect
32. #38702C2semidirect
33. #38453C2semidirect
34. #37256C2semidirect
35. #37202C2semidirect
36. #37156C2semidirect
37. #36480C2semidirect
38. #36373C2semidirect
39. #35296C2semidirect

Maximal subgroups

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

subgroupindex
#591002
#589592
#572762
#571922
#555932
#551122
#550652
#547842
#535132
#533472
#531912
#524352
#521622
#484322
#479372
#477232
#464202
#462262
#459632
#457842
#443272
#443142
#442332
#418202
#411212
#403462
#394552
#394392
#393812
#393562
#393252
#387022
#384532
#372562
#372022
#371562
#364802
#363732
#352962