Finite Group Databasebeta

← #8757148

Subgroups — #8757148

Order 512.

4441 conjugacy classes of subgroups.

The subgroup lattice has 2273 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#57807C212yesmaximal, complemented
2#57638C212yesmaximal, complemented
3#57469C212yesmaximal, complemented
4#57026C212yesmaximal, complemented
5#56800C212yesmaximal, complemented
6#56687C212yesmaximal, complemented
7#56204C212yesmaximal, complemented
8#55356C212yesmaximal, complemented
9#55172C212yesmaximal, complemented
10#55151C212yesmaximal, complemented
11#54884C212yesmaximal, complemented
12#53576C212yesmaximal, complemented
13#52033C212yesmaximal, complemented
14#51884C212yesmaximal, complemented
15#51426C212yesmaximal, complemented
16#50321C212yesmaximal, complemented
17#49558C212yesmaximal, complemented
18#47953C212yesmaximal, complemented
19#47625C212yesmaximal, complemented
20#47543C212yesmaximal, complemented
21#47133C212yesmaximal, complemented
22#47010C212yesmaximal, complemented
23#46530C212yesmaximal, complemented
24#46487C212yesmaximal, complemented
25#46240C211yesmaximal, characteristic, complemented
26#46232C211yesmaximal, characteristic, complemented
27#46231C211yesmaximal, characteristic, complemented
28#46154C211yesmaximal, characteristic, complemented
29#46017C211yesmaximal, characteristic, complemented
30#46017C211yesmaximal, characteristic, complemented
31#46016C211yesmaximal, characteristic, complemented
32#46016C211yesmaximal, characteristic, complemented
33#46008C211yesmaximal, characteristic, complemented
34#46005C211yesmaximal, characteristic, complemented
35#45985C211yesmaximal, characteristic, complemented
36#45985C211yesmaximal, characteristic, complemented
37#35332C211yesmaximal, characteristic, complemented
38#35192C211yesmaximal, characteristic, complemented
39#35136C211yesmaximal, characteristic, complemented
40C2×#563C2212yes—
41C2×#547C2212yes—
42C2×#541C2211yescharacteristic
43C2×#540C2211yescharacteristic
44#2864C2211yescharacteristic
45#2864C2211yescharacteristic
46#2864C2211yescharacteristic
47#2862C2211yescharacteristic
48#2862C2211yescharacteristic
49#2859C2211yescharacteristic
50#2858C2211yescharacteristic
51#2858C2211yescharacteristic
52#2850C2211yescharacteristic
53#2850C2211yescharacteristic
54#2850C2211yescharacteristic
55#2850C2211yescharacteristic
56#2845C2211yescharacteristic
57#2845C2211yescharacteristic
58#2845C2211yescharacteristic
59#2844C2211yescharacteristic
60#2839C2212yes—
61#2839C2212yes—
62#2837C2212yes—
63#2832C2212yes—
64#2831C2212yes—
65#2829C2212yes—
66#2829C2212yes—
67#2829C2212yes—
68#2827C2212yes—
69#2824C2212yes—
70#2819C2211yescharacteristic
71#2819C2211yescharacteristic
72#2819C2211yescharacteristic
73#2819C2211yescharacteristic
74#2816C2212yes—
75#2813C2212yes—
76#2813C2212yes—
77#2813C2212yes—
78#2809C2212yes—
79#2807C2212yes—
80#2806C2212yes—
81#2806C2212yes—
82#2804C2212yes—
83#2804C2212yes—
84#2803C2212yes—
85#2803C2212yes—
86#2800C2212yes—
87#2799C2212yes—
88#2795C2212yes—
89#2795C2212yes—
90#2790C2212yes—
91#2790C2212yes—
92#2790C2212yes—
93#2788C2212yes—
94#2788C2212yes—
95#2783C2212yes—
96#2781C2212yes—
97#2780C2212yes—
98#2779C2212yes—
99#2779C2212yes—
100#2770C2212yes—
101#2770C2212yes—
102#2768C2212yes—
103#2768C2212yes—
104#2768C2212yes—
105#2768C2212yes—
106#2764C2212yes—
107#2764C2212yes—
108#2764C2212yes—
109#2758C2212yes—
110#2757C2212yes—
111#2756C2212yes—
112#2756C2212yes—
113#2756C2212yes—
114#2756C2212yes—
115#2753C2212yes—
116#2753C2212yes—
117#2753C2212yes—
118#2753C2212yes—
119#2751C2212yes—
120#2751C2212yes—
121#2750C2212yes—
122#2748C2212yes—
123#2744C2212yes—
124#2743C2212yes—
125#2742C2212yes—
126#2733C2212yes—
127#2733C2212yes—
128#2732C2212yes—
129#2731C2212yes—
130#2730C2212yes—
131#2730C2212yes—
132#2729C2212yes—
133#2729C2212yes—
134#2728C2212yes—
135#2728C2212yes—
136#2725C2212yes—
137#2723C2212yes—
138#2721C2212yes—
139#2720C2212yes—
140#2718C2212yes—
141#2718C2212yes—
142#2718C2212yes—
143#2718C2212yes—
144#2718C2212yes—
145#2716C2212yes—
146#2716C2212yes—
147#2716C2212yes—
148#2714C2212yes—
149#2714C2212yes—
150#2713C2212yes—
151#2712C2212yes—
152#2712C2212yes—
153#2712C2212yes—
154#2712C2212yes—
155#2711C2212yes—
156#2711C2212yes—
157#2710C2212yes—
158#2710C2212yes—
159#2708C2212yes—
160#2708C2212yes—
161#2707C2212yes—
162#2706C2212yes—
163#2706C2212yes—
164#2705C2212yes—
165#2705C2212yes—
166#2704C2212yes—
167#2704C2212yes—
168#2704C2212yes—
169#2704C2212yes—
170#2703C2212yes—
171#2703C2212yes—
172#2702C2212yes—
173#2702C2212yes—
174#2702C2212yes—
175#2702C2212yes—
176#2701C2212yes—
177#2701C2212yes—
178#2700C2212yes—
179#2699C2212yes—
180#2699C2212yes—
181#2695C2212yes—
182#2695C2212yes—
183#2692C2212yes—
184#2692C2212yes—
185#2692C2212yes—
186#2690C2212yes—
187#2689C2212yes—
188#2687C2212yes—
189#2687C2212yes—
190#2687C2212yes—
191#2686C2212yes—
192#2686C2212yes—
193#2682C2212yes—
194#2682C2212yes—
195#2681C2212yes—
196#2681C2212yes—
197#2681C2212yes—
198#2680C2212yes—
199#2677C2212yes—
200#2676C2212yes—
201#2676C2212yes—
202#2676C2212yes—
203#2676C2212yes—
204#2675C2212yes—
205#2674C2212yes—
206#2674C2212yes—
207#2673C2212yes—
208#2673C2212yes—
209#2672C2212yes—
210#2672C2212yes—
211#2672C2212yes—
212#2671C2212yes—
213#2671C2212yes—
214#2665C2212yes—
215#2665C2212yes—
216#2664C2212yes—
217#2664C2212yes—
218#2662C2212yes—
219#2662C2212yes—
220#2654C2212yes—
221#2651C2212yes—
222#2650C2212yes—
223#2648C2212yes—
224#2642C2211yescharacteristic
225#2641C2211yescharacteristic
226#2636C2212yes—
227#2636C2212yes—
228#2627C2212yes—
229#2620C2211yescharacteristic
230#2620C2211yescharacteristic
231#2618C2212yes—
232#2616C2212yes—
233#2615C2212yes—
234#2610C2212yes—
235#2605C2212yes—
236#2605C2212yes—
237#2603C2212yes—
238#2603C2212yes—
239#2602C2212yes—
240#2602C2212yes—
241#2598C2212yes—
242#2593C2212yes—
243#2593C2212yes—
244#2592C2212yes—
245#2592C2212yes—
246#2589C2212yes—
247#2589C2212yes—
248#2589C2212yes—
249#2587C2212yes—
250#2583C2212yes—
251#2582C2212yes—
252#2579C2212yes—
253#2574C2212yes—
254#2573C2212yes—
255#2571C2211yescharacteristic
256#2571C2211yescharacteristic
257#2565C2212yes—
258#2560C2212yes—
259#2560C2212yes—
260#2560C2212yes—
261#2559C2212yes—
262#2559C2212yes—
263#2559C2212yes—
264#2559C2212yes—
265#2559C2212yes—
266#2559C2212yes—
267#2558C2212yes—
268#2558C2212yes—
269#2558C2212yes—
270#2558C2212yes—
271#2558C2212yes—
272#2557C2212yes—
273#2557C2212yes—
274#2556C2212yes—
275#2554C2212yes—
276#2554C2212yes—
277#2551C2211yescharacteristic
278#2551C2211yescharacteristic
279#2549C2212yes—
280#2545C2212yes—
281#2533C2212yes—
282#2532C2212yes—
283#2532C2212yes—
284#2532C2212yes—
285#2532C2212yes—
286#2532C2212yes—
287#2531C2212yes—
288#2530C2212yes—
289#2526C2212yes—
290#2522C2212yes—
291#2522C2212yes—
292#2521C2212yes—
293#2519C2212yes—
294#2512C2212yes—
295#2505C2212yes—
296#2502C2212yes—
297#2492C2212yes—
298#2492C2212yes—
299#2491C2212yes—
300#2491C2212yes—
301#2489C2212yes—
302#2481C2212yes—
303#2476C2212yes—
304#2476C2212yes—
305#2476C2212yes—
306#2473C2212yes—
307#2473C2212yes—
308#2473C2212yes—
309#2471C2212yes—
310#2469C2212yes—
311#2468C2212yes—
312#2468C2212yes—
313#2466C2212yes—
314#2464C2212yes—
315#2464C2212yes—
316#2461C2212yes—
317#2461C2212yes—
318#2461C2212yes—
319#2459C2212yes—
320#2459C2212yes—
321#2458C2212yes—
322#2458C2212yes—
323#2458C2212yes—
324#2456C2212yes—
325#2456C2212yes—
326#2455C2212yes—
327#2453C2212yes—
328#2452C2212yes—
329#2451C2212yes—
330#2450C2212yes—
331#2449C2212yes—
332#2449C2212yes—
333#2448C2211yescharacteristic
334#2447C2211yescharacteristic
335#2446C2211yescharacteristic
336#2445C2211yescharacteristic
337#2443C2212yes—
338#2440C2212yes—
339#2440C2212yes—
340#2439C2211yescharacteristic
341#2439C2211yescharacteristic
342#2439C2211yescharacteristic
343#2439C2212yes—
344#2439C2212yes—
345#2439C2211yescharacteristic
346#2432C2212yes—
347#2432C2212yes—
348#2432C2212yes—
349#2431C2212yes—
350#2431C2212yes—
351#2430C2212yes—
352#2429C2212yes—
353#2429C2211yescharacteristic
354#2428C2211yescharacteristic
355#2427C2212yes—
356#2427C2211yescharacteristic
357#2426C2211yescharacteristic
358#2425C2212yes—
359#2423C2212yes—
360#2419C2212yes—
361#2417C2212yes—
362#2416C2212yes—
363#2416C2212yes—
364#2407C2212yes—
365#2407C2212yes—
366#2407C2212yes—
367#2406C2212yes—
368#2379C2211yescharacteristic
369#2379C2211yescharacteristic
370#2379C2211yescharacteristic
371#2379C2211yescharacteristic
372#2379C2211yescharacteristic
373#2379C2211yescharacteristic
374#2379C2211yescharacteristic
375#2379C2211yescharacteristic
376#2376C2212yes—
377#2370C2212yes—
378#2337C2212yes—
379#2335C2212yes—
380#2333C2212yes—
381#2331C2212yes—
382#2331C2212yes—
383#2326C2211yescharacteristic
384#2326C2211yescharacteristic
385#2326C2212yes—
386#2322C2212yes—
387#2318C2212yes—
388C4×#124C2211yescharacteristic
389C4×#124C2211yescharacteristic
390C4×#124C2211yescharacteristic
391C4×#124C2211yescharacteristic
392#2285C2211yescharacteristic
393#2283C2211yescharacteristic
394C4×#117C2211yescharacteristic
395C22×#41C2312yes—
396C22×#41C2312yes—
397#563—48no—
398#547—48no—
399#541—44no—
400#540—44no—
401C2×C4⋊Q8C2312yes—
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2311yescharacteristic
408C2×C4⋊Q8C2311yescharacteristic
409C2×C4⋊Q8C2311yescharacteristic
410C2×#127C2311yescharacteristic
411C2×#127C2311yescharacteristic
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#126C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2311yescharacteristic
423C2×#125C2311yescharacteristic
424C2×#125C2312yes—
425C2×#125C2312yes—
426C2×#124C2311yescharacteristic
427C2×#124C2311yescharacteristic
428C2×#124C2311yescharacteristic
429C2×#124C2311yescharacteristic
430C2×#124C2311yescharacteristic
431C2×#124C2311yescharacteristic
432C2×#124C2312yes—
433C2×#124C2312yes—
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2311yescharacteristic
437C2×#124C2311yescharacteristic
438C2×#124C2312yes—
439C2×#124C2312yes—
440C2×#124C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×#123C2312yes—
450C2×#123C2312yes—
451C2×#123C2312yes—
452C2×#123C2312yes—
453C2×#123C2312yes—
454C2×C22⋊Q8C2311yescharacteristic
455C2×C22⋊Q8C2311yescharacteristic
456C2×C22⋊Q8C2312yes—
457C2×C22⋊Q8C2312yes—
458C2×C22⋊Q8C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2311yescharacteristic
464C2×C22⋊Q8C2311yescharacteristic
465C2×C22⋊Q8C2312yes—
466C2×C22⋊Q8C2312yes—
467C2×C22⋊Q8C2312yes—
468C2×C22⋊Q8C2312yes—
469C2×C22⋊Q8C2312yes—
470C2×C22⋊Q8C2312yes—
471C2×#121C2312yes—
472C2×#121C2311yescharacteristic
473C2×#121C2311yescharacteristic
474C2×#121C2312yes—
475C2×#121C2312yes—
476C2×#121C2312yes—
477C2×#121C2312yes—
478C2×#121C2312yes—
479C2×#121C2311yescharacteristic
480C2×#121C2311yescharacteristic
481C2×#121C2312yes—
482C2×#121C2312yes—
483C2×#121C2312yes—
484C2×#121C2312yes—
485C2×#121C2312yes—
486C2×#121C2312yes—
487C2×#121C2312yes—
488C2×C4×Q8C2311yescharacteristic
489C2×C4×Q8C2311yescharacteristic
490C2×C4×Q8C2312yes—
491C2×C4×Q8C2311yescharacteristic
492C2×C4×Q8C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2311yescharacteristic
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C42C2311yescharacteristic
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
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#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#397C2312yes—
591#397C2312yes—
592#397C2312yes—
593#397C2312yes—
594#397C2312yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2312yes—
599#397C2312yes—
600#397C2312yes—
601#397C2312yes—
602#397C2312yes—
603#397C2312yes—
604#397C2312yes—
605#397C2312yes—
606#397C2312yes—
607#397C2312yes—
608#397C2312yes—
609#397C2312yes—
610#397C2312yes—
611#397C2312yes—
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#396C2312yes—
640#396C2312yes—
641#396C2312yes—
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#394C2312yes—
655#394C2312yes—
656#394C2312yes—
657#394C2312yes—
658#394C2312yes—
659#394C2312yes—
660#394C2312yes—
661#394C2312yes—
662#394C2312yes—
663#394C2312yes—
664#394C2312yes—
665#394C2312yes—
666#394C2312yes—
667#394C2312yes—
668#394C2312yes—
669#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#394C2312yes—
704#394C2312yes—
705#394C2312yes—
706#394C2312yes—
707#394C2312yes—
708#394C2312yes—
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#393C2312yes—
727#393C2312yes—
728#393C2312yes—
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#392C2312yes—
748#392C2312yes—
749#392C2312yes—
750#391C2312yes—
751#391C2312yes—
752#391C2312yes—
753#391C2312yes—
754#391C2312yes—
755#391C2312yes—
756#391C2312yes—
757#391C2312yes—
758#391C2311yescharacteristic
759#391C2311yescharacteristic
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#391C2311yescharacteristic
775#391C2312yes—
776#391C2312yes—
777#391C2312yes—
778#391C2311yescharacteristic
779#391C2311yescharacteristic
780#391C2312yes—
781#391C2311yescharacteristic
782#391C2311yescharacteristic
783#391C2312yes—
784#390C2312yes—
785#390C2312yes—
786#390C2312yes—
787#390C2312yes—
788#390C2312yes—
789#390C2312yes—
790#390C2311yescharacteristic
791#390C2311yescharacteristic
792#390C2312yes—
793#390C2312yes—
794#390C2312yes—
795#390C2312yes—
796#390C2312yes—
797#390C2312yes—
798#390C2312yes—
799#390C2312yes—
800#390C2311yescharacteristic
801#390C2311yescharacteristic
802#390C2312yes—
803#390C2312yes—
804#390C2312yes—
805#390C2312yes—
806#390C2312yes—
807#390C2311yescharacteristic
808#390C2311yescharacteristic
809#390C2312yes—
810#390C2312yes—
811#390C2311yescharacteristic
812#390C2311yescharacteristic
813#389C2312yes—
814#389C2312yes—
815#389C2311yescharacteristic
816#389C2311yescharacteristic
817#389C2311yescharacteristic
818#389C2311yescharacteristic
819#389C2312yes—
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
826#389C2311yescharacteristic
827#389C2312yes—
828#389C2312yes—
829#389C2312yes—
830#389C2312yes—
831#389C2312yes—
832#389C2312yes—
833#389C2311yescharacteristic
834#389C2311yescharacteristic
835#389C2312yes—
836#389C2312yes—
837#389C2312yes—
838#389C2312yes—
839#389C2311yescharacteristic
840#389C2311yescharacteristic
841#389C2311yescharacteristic
842#389C2311yescharacteristic
843#389C2311yescharacteristic
844#389C2312yes—
845#389C2312yes—
846#389C2312yes—
847#389C2312yes—
848#389C2312yes—
849#389C2312yes—
850#388C2312yes—
851#388C2312yes—
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#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#388C2312yes—
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#386C2312yes—
973#386C2312yes—
974#386C2312yes—
975#386C2312yes—
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#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#385C2312yes—
1024#385C2312yes—
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#385C2312yes—
1056#385C2312yes—
1057#385C2312yes—
1058#384C2312yes—
1059#384C2311yescharacteristic
1060#384C2311yescharacteristic
1061#384C2311yescharacteristic
1062#384C2311yescharacteristic
1063#384C2312yes—
1064#383C2312yes—
1065#383C2312yes—
1066#383C2312yes—
1067#383C2312yes—
1068#382C2311yescharacteristic
1069#382C2311yescharacteristic
1070#382C2311yescharacteristic
1071#382C2311yescharacteristic
1072#382C2312yes—
1073#382C2311yescharacteristic
1074#382C2312yes—
1075#382C2312yes—
1076#382C2311yescharacteristic
1077#382C2311yescharacteristic
1078#382C2311yescharacteristic
1079#382C2311yescharacteristic
1080#382C2311yescharacteristic
1081#382C2311yescharacteristic
1082#382C2311yescharacteristic
1083#381C2312yes—
1084#381C2312yes—
1085#381C2312yes—
1086#381C2312yes—
1087#381C2312yes—
1088#381C2312yes—
1089#380C2312yes—
1090#380C2312yes—
1091#380C2312yes—
1092#380C2312yes—
1093#380C2312yes—
1094#380C2312yes—
1095#380C2312yes—
1096#380C2312yes—
1097#380C2312yes—
1098#380C2312yes—
1099#380C2312yes—
1100#380C2312yes—
1101#380C2312yes—
1102#380C2312yes—
1103#380C2312yes—
1104#380C2312yes—
1105#380C2311yescharacteristic
1106#380C2311yescharacteristic
1107C4×C4⋊C4C2312yes—
1108C4×C4⋊C4C2312yes—
1109C4×C4⋊C4C2312yes—
1110C4×C4⋊C4C2312yes—
1111C4×C4⋊C4C2311yescharacteristic
1112C4×C4⋊C4C2311yescharacteristic
1113C4×C4⋊C4C2311yescharacteristic
1114C4×C4⋊C4C2312yes—
1115C4×C4⋊C4C2312yes—
1116C4×C4⋊C4C2312yes—
1117C4×C4⋊C4C2311yescharacteristic
1118C4×C4⋊C4C2311yescharacteristic
1119C4×C4⋊C4C2312yes—
1120C4×C4⋊C4C2311yescharacteristic
1121C4×C4⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2311yescharacteristic
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2311yescharacteristic
1133C4×C22⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2311yescharacteristic
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2312yes—
1139#376C2311yescharacteristic
1140#376C2312yes—
1141#376C2312yes—
1142#376C2311yescharacteristic
1143C2×#95C2312yes—
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C2×#41—44no—
1147C2×#41—44no—
1148C2×#41—82no—
1149C2×#41—82no—
1150C2×#41—82no—
1151C2×#41—82no—
1152C22×Q8C2412yes—
1153C22×Q8C2411yescharacteristic
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2412yes—
1161C22×D4C2411yescharacteristic
1162C22×D4C2411yescharacteristic
1163C22×D4C2411yescharacteristic
1164C22×D4C2411yescharacteristic
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C22×D4C2412yes—
1178C22×D4C2412yes—
1179C22×D4C2412yes—
1180C22×D4C2412yes—
1181C23×C4C2411yescharacteristic
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2411yescharacteristic
1186C23×C4C2411yescharacteristic
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C4⋊Q8—28no—
1197C4⋊Q8—42no—
1198C4⋊Q8—44no—
1199C4⋊Q8—44no—
1200C4⋊Q8—81no—
1201C4⋊Q8—81no—
1202C4⋊Q8—81no—
1203C4⋊Q8—81no—
1204C4⋊Q8—81no—
1205#127—42no—
1206#127—81no—
1207#126—44no—
1208#126—44no—
1209#126—44no—
1210#126—44no—
1211#126—44no—
1212#126—44no—
1213#126—82no—
1214#126—82no—
1215#125—28no—
1216#125—42no—
1217#125—42no—
1218#125—44no—
1219#125—44no—
1220#125—82no—
1221#124—24no—
1222#124—24no—
1223#124—24no—
1224#124—24no—
1225#124—42no—
1226#124—42no—
1227#124—44no—
1228#124—44no—
1229#124—44no—
1230#124—82no—
1231#124—82no—
1232#124—82no—
1233#124—81no—
1234#124—81no—
1235#124—82no—
1236#123—28no—
1237#123—28no—
1238#123—44no—
1239#123—44no—
1240#123—44no—
1241#123—44no—
1242#123—44no—
1243#123—82no—
1244#123—82no—
1245#123—82no—
1246#123—82no—
1247#123—82no—
1248#123—82no—
1249C22⋊Q8—44no—
1250C22⋊Q8—44no—
1251C22⋊Q8—44no—
1252C22⋊Q8—44no—
1253C22⋊Q8—42no—
1254C22⋊Q8—42no—
1255C22⋊Q8—44no—
1256C22⋊Q8—44no—
1257C22⋊Q8—82no—
1258C22⋊Q8—82no—
1259C22⋊Q8—82no—
1260C22⋊Q8—82no—
1261C22⋊Q8—82no—
1262C22⋊Q8—82no—
1263C22⋊Q8—81no—
1264C22⋊Q8—81no—
1265C22⋊Q8—82no—
1266#121—44no—
1267#121—44no—
1268#121—42no—
1269#121—42no—
1270#121—44no—
1271#121—44no—
1272#121—44no—
1273#121—82no—
1274#121—82no—
1275#121—82no—
1276#121—82no—
1277#121—82no—
1278#121—82no—
1279#121—82no—
1280#121—81no—
1281#121—81no—
1282#121—82no—
1283C4×Q8—42no—
1284C4×Q8—42no—
1285C4×Q8—81no—
1286C4×Q8—82no—
1287C4×Q8—81no—
1288C4×D4—42no—
1289C4×D4—44no—
1290C4×D4—44no—
1291C4×D4—42no—
1292C4×D4—44no—
1293C4×D4—82no—
1294C4×D4—81no—
1295C4×D4—81no—
1296C4×D4—82no—
1297#117—24no—
1298#117—42no—
1299#117—81no—
1300#117—81no—
1301C2×C4⋊C4—44no—
1302C2×C4⋊C4—44no—
1303C2×C4⋊C4—82no—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2411yescharacteristic
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2411yescharacteristic
1383C2×C4⋊C4C2411yescharacteristic
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2411yescharacteristic
1388C2×C4⋊C4C2411yescharacteristic
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2411yescharacteristic
1393C2×C22⋊C4C2411yescharacteristic
1394C2×C22⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2411yescharacteristic
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2412yes—
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2412yes—
1415C2×C22⋊C4C2411yescharacteristic
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⋊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×C42—24no—
1486C2×C42C2411yescharacteristic
1487C2×C42C2411yescharacteristic
1488C2×C42C2411yescharacteristic
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2411yescharacteristic
1492C2×C42C2411yescharacteristic
1493C2×C42C2411yescharacteristic
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2411yescharacteristic
1497C2×C42C2411yescharacteristic
1498C2×C42C2411yescharacteristic
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2411yescharacteristic
1506C2×C42C2412yes—
1507C2×C42C2412yes—
1508C2×C42C2412yes—
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2411yescharacteristic
1514C2×C42C2412yes—
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517C2×C42C2411yescharacteristic
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2411yescharacteristic
1523#95C2411yescharacteristic
1524#95C2411yescharacteristic
1525#95C2411yescharacteristic
1526#95C2411yescharacteristic
1527#95C2411yescharacteristic
1528#95C2411yescharacteristic
1529#95C2411yescharacteristic
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
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—
1616C24C2511yescharacteristic
1617C24C2512yes—
1618C24C2512yes—
1619C24C2512yes—
1620C24C2512yes—
1621#41—816no—
1622#41—816no—
1623C2×Q8—24no—
1624C2×Q8—24no—
1625C2×Q8—22no—
1626C2×Q8—22no—
1627C2×Q8—22no—
1628C2×Q8—22no—
1629C2×Q8—24no—
1630C2×Q8—41no—
1631C2×Q8—41no—
1632C2×Q8—42no—
1633C2×Q8—41no—
1634C2×Q8—41no—
1635C2×Q8—41no—
1636C2×Q8—41no—
1637C2×Q8—42no—
1638C2×Q8—42no—
1639C2×Q8—41no—
1640C2×Q8—41no—
1641C2×Q8—42no—
1642C2×Q8—42no—
1643C2×Q8—42no—
1644C2×Q8—42no—
1645C2×Q8—42no—
1646C2×Q8—42no—
1647C2×Q8—42no—
1648C2×Q8—42no—
1649C2×Q8—42no—
1650C2×D4—24no—
1651C2×D4—24no—
1652C2×D4—22no—
1653C2×D4—22no—
1654C2×D4—22no—
1655C2×D4—22no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—42no—
1660C2×D4—41no—
1661C2×D4—41no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—41no—
1666C2×D4—41no—
1667C2×D4—42no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—41no—
1673C2×D4—42no—
1674C2×D4—41no—
1675C2×D4—42no—
1676C2×D4—42no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—41no—
1682C2×D4—41no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4—42no—
1695C2×D4—42no—
1696C2×D4—42no—
1697C2×D4—42no—
1698C2×D4—42no—
1699C2×D4—42no—
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—
1710C22×C4—22no—
1711C22×C4—22no—
1712C22×C4—22no—
1713C22×C4—24no—
1714C22×C4—24no—
1715C22×C4—22no—
1716C22×C4—24no—
1717C22×C4—41no—
1718C22×C4—41no—
1719C22×C4—41no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4—42no—
1732C22×C4—41no—
1733C22×C4—41no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4—42no—
1738C22×C4—42no—
1739C22×C4—42no—
1740C22×C4—42no—
1741C22×C4—42no—
1742C22×C4—42no—
1743C22×C4—42no—
1744C22×C4—42no—
1745C22×C4—42no—
1746C22×C4—42no—
1747C22×C4—42no—
1748C22×C4—42no—
1749C22×C4—42no—
1750C22×C4—42no—
1751C22×C4—42no—
1752C22×C4—42no—
1753C22×C4—42no—
1754C22×C4—42no—
1755C22×C4C2511yescharacteristic
1756C22×C4C2511yescharacteristic
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2512yes—
1760C22×C4C2512yes—
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2511yescharacteristic
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2512yes—
1769C22×C4C2512yes—
1770C22×C4C2511yescharacteristic
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C22×C4C2512yes—
1774C22×C4C2511yescharacteristic
1775C22×C4C2512yes—
1776C22×C4C2512yes—
1777C22×C4C2512yes—
1778C22×C4C2512yes—
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2512yes—
1782C22×C4C2511yescharacteristic
1783C22×C4C2511yescharacteristic
1784C22×C4C2511yescharacteristic
1785C22×C4C2511yescharacteristic
1786C22×C4C2511yescharacteristic
1787C22×C4C2511yescharacteristic
1788C22×C4C2511yescharacteristic
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—22no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—22no—
1801C4⋊C4—24no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—41no—
1810C4⋊C4—41no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—41no—
1816C4⋊C4—41no—
1817C4⋊C4—41no—
1818C4⋊C4—41no—
1819C4⋊C4—41no—
1820C4⋊C4—41no—
1821C4⋊C4—41no—
1822C4⋊C4—42no—
1823C4⋊C4—41no—
1824C4⋊C4—41no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—41no—
1828C4⋊C4—41no—
1829C4⋊C4—42no—
1830C4⋊C4—41no—
1831C4⋊C4—42no—
1832C4⋊C4—41no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
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—41no—
1876C4⋊C4—41no—
1877C4⋊C4H(5,𝔽2)14yes—
1878C22⋊C4—22no—
1879C22⋊C4—22no—
1880C22⋊C4—24no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
1894C22⋊C4—22no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—24no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—41no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
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—
1970C42—22no—
1971C42—22no—
1972C42—24no—
1973C42—24no—
1974C42—22no—
1975C42—22no—
1976C42—22no—
1977C42—22no—
1978C42—41no—
1979C42—41no—
1980C42—41no—
1981C42—42no—
1982C42—42no—
1983C42—42no—
1984C42—41no—
1985C42—41no—
1986C42—42no—
1987C42—42no—
1988C42—42no—
1989C42—42no—
1990C42—42no—
1991C42—42no—
1992C42—42no—
1993C42—41no—
1994C42—42no—
1995C42—42no—
1996C42—42no—
1997C42—41no—
1998C42—42no—
1999C42—41no—
2000C42—41no—
2001C422−1+414yes—
2002C23—21no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—21no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—21no—
2016C23—22no—
2017C23—22no—
2018C23—22no—
2019C23—22no—
2020C23—22no—
2021C23—21no—
2022C23—21no—
2023C23—22no—
2024C23—22no—
2025C23—21no—
2026C23—22no—
2027C23—22no—
2028C23—22no—
2029C23—22no—
2030C23—22no—
2031C23—22no—
2032C23—22no—
2033C23—22no—
2034C23—22no—
2035C23—22no—
2036C23—21no—
2037C23C2611yescharacteristic
2038Q8—84no—
2039Q8—82no—
2040Q8—82no—
2041Q8—82no—
2042Q8—82no—
2043Q8—84no—
2044Q8—84no—
2045Q8—162no—
2046Q8—162no—
2047D4—48no—
2048D4—82no—
2049D4—82no—
2050D4—82no—
2051D4—82no—
2052D4—84no—
2053D4—84no—
2054D4—84no—
2055D4—84no—
2056D4—84no—
2057D4—84no—
2058D4—84no—
2059D4—84no—
2060D4—162no—
2061D4—162no—
2062D4—162no—
2063D4—162no—
2064D4—162no—
2065D4—162no—
2066D4—162no—
2067C2×C4—21no—
2068C2×C4—21no—
2069C2×C4—21no—
2070C2×C4—21no—
2071C2×C4—21no—
2072C2×C4—21no—
2073C2×C4—21no—
2074C2×C4—21no—
2075C2×C4—21no—
2076C2×C4—21no—
2077C2×C4—21no—
2078C2×C4—21no—
2079C2×C4—21no—
2080C2×C4—21no—
2081C2×C4—21no—
2082C2×C4—21no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—21no—
2096C2×C4—21no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—21no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—21no—
2108C2×C4—22no—
2109C2×C4—21no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—21no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—21no—
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—21no—
2126C2×C4—22no—
2127C2×C4—21no—
2128C2×C4—21no—
2129C2×C4—22no—
2130C2×C4—21no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—22no—
2135C2×C4—21no—
2136C2×C4—21no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—22no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—22no—
2145C2×C4—22no—
2146C2×C4—22no—
2147C2×C4—22no—
2148C2×C4—22no—
2149C2×C4—22no—
2150C2×C4—22no—
2151C2×C4—21no—
2152C2×C4—21no—
2153C2×C4—21no—
2154C2×C4—21no—
2155C2×C4—21no—
2156C2×C4—22no—
2157C2×C4—22no—
2158C2×C4—22no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—44no—
2163C2×C4—44no—
2164C2×C4—84no—
2165C2×C4—82no—
2166C2×C4—84no—
2167C2×C4—84no—
2168C2×C4—84no—
2169C2×C4—84no—
2170C2×C4—84no—
2171C2×C4—84no—
2172C2×C4—84no—
2173C2×C4—84no—
2174C2×C4—162no—
2175C2×C4—162no—
2176C2×C4—162no—
2177C2×C4C2×H(5,𝔽2)12yes—
2178C2×C4C2×H(5,𝔽2)12yes—
2179C2×C4C2×H(5,𝔽2)12yes—
2180C2×C4C2×2−1+412yes—
2181C2×C4C2×2−1+412yes—
2182C2×C4C2×2−1+412yes—
2183C2×C4#58512yes—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—41no—
2189C22—42no—
2190C22—42no—
2191C22—42no—
2192C22—42no—
2193C22—41no—
2194C22—42no—
2195C22—42no—
2196C22—42no—
2197C22—42no—
2198C22—41no—
2199C22—42no—
2200C22—42no—
2201C22—41no—
2202C22—42no—
2203C22—42no—
2204C22—41no—
2205C22—42no—
2206C22—42no—
2207C22—42no—
2208C22—42no—
2209C22—41no—
2210C22—42no—
2211C22—42no—
2212C22—42no—
2213C22—42no—
2214C22—41no—
2215C22—42no—
2216C22—42no—
2217C22—42no—
2218C22—42no—
2219C22C22×H(5,𝔽2)11yescharacteristic
2220C22C22×2−1+411yescharacteristic
2221C22C2×#58511yescharacteristic
2222C22H(7,𝔽2)11yescharacteristic
2223C22H(7,𝔽2)11yescharacteristic
2224C22H(7,𝔽2)11yescharacteristic
2225C222−1+611yescharacteristic
2226C4—22no—
2227C4—22no—
2228C4—22no—
2229C4—22no—
2230C4—22no—
2231C4—22no—
2232C4—22no—
2233C4—42no—
2234C4—42no—
2235C4—42no—
2236C4—42no—
2237C4—42no—
2238C4—42no—
2239C4—42no—
2240C4—42no—
2241C4—42no—
2242C4—42no—
2243C4—41no—
2244C4—41no—
2245C4—42no—
2246C4—42no—
2247C4—42no—
2248C4—42no—
2249C4—41no—
2250C4—41no—
2251C4—42no—
2252C4—42no—
2253C4—41no—
2254C4—42no—
2255C4—42no—
2256C4—41no—
2257C4—41no—
2258C4—42no—
2259C4—42no—
2260C2—82no—
2261C2—82no—
2262C2—82no—
2263C2—82no—
2264C2—81no—
2265C2#6283511yescharacteristic
2266C2#6287711yescharacteristic
2267C2#6288111yescharacteristic
2268C2#6304511yescharacteristic
2269C2#6305211yescharacteristic
2270C2#6305511yescharacteristic
2271C2#6306511yescharacteristic
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. #57807C2semidirect
2. #57638C2semidirect
3. #57469C2semidirect
4. #57026C2semidirect
5. #56800C2semidirect
6. #56687C2semidirect
7. #56204C2semidirect
8. #55356C2semidirect
9. #55172C2semidirect
10. #55151C2semidirect
11. #54884C2semidirect
12. #53576C2semidirect
13. #52033C2semidirect
14. #51884C2semidirect
15. #51426C2semidirect
16. #50321C2semidirect
17. #49558C2semidirect
18. #47953C2semidirect
19. #47625C2semidirect
20. #47543C2semidirect
21. #47133C2semidirect
22. #47010C2semidirect
23. #46530C2semidirect
24. #46487C2semidirect
25. #46240C2semidirect
26. #46232C2semidirect
27. #46231C2semidirect
28. #46154C2semidirect
29. #46017C2semidirect
30. #46017C2semidirect
31. #46016C2semidirect
32. #46016C2semidirect
33. #46008C2semidirect
34. #46005C2semidirect
35. #45985C2semidirect
36. #45985C2semidirect
37. #35332C2semidirect
38. #35192C2semidirect
39. #35136C2semidirect

Maximal subgroups

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

subgroupindex
#578072
#576382
#574692
#570262
#568002
#566872
#562042
#553562
#551722
#551512
#548842
#535762
#520332
#518842
#514262
#503212
#495582
#479532
#476252
#475432
#471332
#470102
#465302
#464872
#462402
#462322
#462312
#461542
#460172
#460162
#460082
#460052
#459852
#353322
#351922
#351362