Finite Group Databasebeta

← #7642832

Subgroups — #7642832

Order 512.

4754 conjugacy classes of subgroups.

The subgroup lattice has 2243 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40435C212yesmaximal, complemented
2#40434C212yesmaximal, complemented
3#39835C212yesmaximal, complemented
4#39830C211yesmaximal, characteristic, complemented
5#39828C211yesmaximal, characteristic, complemented
6#39827C212yesmaximal, complemented
7#39702C211yesmaximal, characteristic, complemented
8#39700C211yesmaximal, characteristic, complemented
9#39699C212yesmaximal, complemented
10#39451C212yesmaximal, complemented
11#38878C212yesmaximal, complemented
12#38876C212yesmaximal, complemented
13#38871C212yesmaximal, complemented
14#38868C212yesmaximal, complemented
15#38821C211yesmaximal, characteristic, complemented
16#38820C211yesmaximal, characteristic, complemented
17#38763C211yesmaximal, characteristic, complemented
18#38762C211yesmaximal, characteristic, complemented
19#37811C212yesmaximal, complemented
20#37810C212yesmaximal, complemented
21#37260C212yesmaximal, complemented
22#37238C212yesmaximal, complemented
23#37195C211yesmaximal, characteristic, complemented
24#37192C211yesmaximal, characteristic, complemented
25#37145C211yesmaximal, characteristic, complemented
26#37142C211yesmaximal, characteristic, complemented
27#36641C211yesmaximal, characteristic, complemented
28#36639C211yesmaximal, characteristic, complemented
29#35477C212yesmaximal, complemented
30#35471C212yesmaximal, complemented
31#35440C212yesmaximal, complemented
32#35436C212yesmaximal, complemented
33#35220C212yesmaximal, complemented
34#35134C212yesmaximal, complemented
35#35127C212yesmaximal, complemented
36#35125C212yesmaximal, complemented
37#35112C212yesmaximal, complemented
38#34285C212yesmaximal, complemented
39C4×#533C211yesmaximal, characteristic, complemented
40C2×#542C2212yes—
41C2×#542C2212yes—
42C2×#541C2212yes—
43C2×#533C2211yescharacteristic
44C2×#533C2211yescharacteristic
45C2×#532C2211yescharacteristic
46#2866C2212yes—
47#2865C2212yes—
48#2863C2211yescharacteristic
49#2863C2211yescharacteristic
50#2863C2211yescharacteristic
51#2863C2211yescharacteristic
52#2862C2211yescharacteristic
53#2862C2211yescharacteristic
54#2861C2212yes—
55#2861C2212yes—
56#2861C2212yes—
57#2860C2211yescharacteristic
58#2860C2211yescharacteristic
59#2860C2211yescharacteristic
60#2860C2211yescharacteristic
61#2860C2212yes—
62#2858C2211yescharacteristic
63#2858C2211yescharacteristic
64#2852C2212yes—
65#2852C2212yes—
66#2852C2212yes—
67#2852C2212yes—
68#2850C2211yescharacteristic
69#2850C2211yescharacteristic
70#2850C2211yescharacteristic
71#2850C2211yescharacteristic
72#2850C2212yes—
73#2850C2212yes—
74#2811C2211yescharacteristic
75#2809C2211yescharacteristic
76#2808C2211yescharacteristic
77#2808C2211yescharacteristic
78#2806C2211yescharacteristic
79#2806C2211yescharacteristic
80#2806C2211yescharacteristic
81#2805C2211yescharacteristic
82#2804C2211yescharacteristic
83#2804C2211yescharacteristic
84#2799C2212yes—
85#2795C2212yes—
86#2790C2212yes—
87#2781C2212yes—
88#2779C2212yes—
89#2774C2212yes—
90#2766C2212yes—
91#2763C2212yes—
92#2761C2212yes—
93#2761C2212yes—
94#2759C2212yes—
95#2755C2212yes—
96#2755C2212yes—
97#2753C2212yes—
98#2751C2212yes—
99#2734C2212yes—
100#2733C2211yescharacteristic
101#2732C2211yescharacteristic
102#2732C2211yescharacteristic
103#2732C2212yes—
104#2731C2212yes—
105#2730C2212yes—
106#2730C2212yes—
107#2729C2212yes—
108#2729C2212yes—
109#2727C2211yescharacteristic
110#2720C2212yes—
111#2718C2212yes—
112#2716C2212yes—
113#2715C2212yes—
114#2713C2212yes—
115#2713C2212yes—
116#2713C2212yes—
117#2713C2212yes—
118#2711C2212yes—
119#2709C2212yes—
120#2708C2212yes—
121#2707C2212yes—
122#2704C2212yes—
123#2702C2212yes—
124#2700C2212yes—
125#2696C2212yes—
126#2694C2212yes—
127#2692C2212yes—
128#2690C2212yes—
129#2689C2212yes—
130#2686C2212yes—
131#2683C2211yescharacteristic
132#2683C2212yes—
133#2682C2211yescharacteristic
134#2681C2212yes—
135#2681C2212yes—
136#2677C2212yes—
137#2677C2212yes—
138#2677C2212yes—
139#2676C2212yes—
140#2676C2212yes—
141#2674C2212yes—
142#2674C2212yes—
143#2673C2212yes—
144#2672C2212yes—
145#2671C2212yes—
146#2666C2212yes—
147#2666C2212yes—
148#2666C2212yes—
149#2664C2212yes—
150#2664C2212yes—
151#2662C2212yes—
152#2662C2212yes—
153#2662C2212yes—
154#2662C2212yes—
155#2662C2212yes—
156#2654C2212yes—
157#2653C2212yes—
158#2650C2212yes—
159#2649C2212yes—
160#2648C2212yes—
161#2648C2212yes—
162#2637C2212yes—
163#2634C2212yes—
164#2632C2212yes—
165#2632C2212yes—
166#2612C2212yes—
167#2610C2212yes—
168#2610C2212yes—
169#2609C2212yes—
170#2609C2212yes—
171#2608C2212yes—
172#2605C2212yes—
173#2605C2212yes—
174#2604C2212yes—
175#2603C2212yes—
176#2602C2212yes—
177#2602C2212yes—
178#2601C2212yes—
179#2601C2212yes—
180#2601C2212yes—
181#2601C2212yes—
182#2599C2212yes—
183#2598C2212yes—
184#2596C2212yes—
185#2596C2212yes—
186#2595C2212yes—
187#2595C2212yes—
188#2594C2212yes—
189#2594C2212yes—
190#2593C2212yes—
191#2593C2212yes—
192#2589C2212yes—
193#2589C2212yes—
194#2589C2212yes—
195#2588C2212yes—
196#2588C2212yes—
197#2588C2212yes—
198#2587C2212yes—
199#2587C2212yes—
200#2586C2212yes—
201#2583C2212yes—
202#2577C2212yes—
203#2575C2212yes—
204#2574C2212yes—
205#2574C2212yes—
206#2573C2212yes—
207#2573C2212yes—
208#2560C2212yes—
209#2560C2212yes—
210#2560C2212yes—
211#2560C2212yes—
212#2560C2212yes—
213#2559C2212yes—
214#2559C2212yes—
215#2559C2212yes—
216#2558C2212yes—
217#2558C2212yes—
218#2558C2212yes—
219#2557C2212yes—
220#2556C2212yes—
221#2556C2212yes—
222#2556C2212yes—
223#2556C2212yes—
224#2555C2212yes—
225#2554C2212yes—
226#2554C2212yes—
227#2554C2212yes—
228#2553C2212yes—
229#2550C2212yes—
230#2550C2212yes—
231#2549C2212yes—
232#2549C2212yes—
233#2545C2212yes—
234#2540C2212yes—
235#2536C2212yes—
236#2532C2212yes—
237#2531C2212yes—
238#2527C2212yes—
239#2526C2212yes—
240#2525C2212yes—
241#2523C2212yes—
242#2522C2212yes—
243#2521C2212yes—
244#2521C2212yes—
245#2521C2212yes—
246#2520C2212yes—
247#2520C2212yes—
248#2519C2212yes—
249#2516C2212yes—
250#2516C2212yes—
251#2508C2212yes—
252#2505C2212yes—
253#2493C2212yes—
254#2492C2212yes—
255#2492C2212yes—
256#2490C2212yes—
257#2488C2212yes—
258#2481C2212yes—
259#2479C2212yes—
260#2479C2212yes—
261#2477C2212yes—
262#2477C2212yes—
263#2477C2212yes—
264#2476C2212yes—
265#2476C2212yes—
266#2476C2212yes—
267#2475C2212yes—
268#2475C2212yes—
269#2475C2212yes—
270#2474C2212yes—
271#2474C2212yes—
272#2474C2212yes—
273#2474C2212yes—
274#2470C2212yes—
275#2470C2212yes—
276#2470C2212yes—
277#2469C2212yes—
278#2469C2212yes—
279#2469C2212yes—
280#2469C2212yes—
281#2469C2212yes—
282#2468C2212yes—
283#2468C2212yes—
284#2466C2212yes—
285#2466C2212yes—
286#2465C2212yes—
287#2465C2212yes—
288#2465C2212yes—
289#2465C2212yes—
290#2464C2212yes—
291#2462C2212yes—
292#2461C2212yes—
293#2459C2212yes—
294#2459C2212yes—
295#2458C2212yes—
296#2458C2212yes—
297#2455C2212yes—
298#2453C2212yes—
299#2451C2212yes—
300#2450C2212yes—
301#2449C2212yes—
302#2432C2212yes—
303#2430C2212yes—
304#2430C2212yes—
305#2429C2212yes—
306#2426C2212yes—
307#2407C2212yes—
308#2407C2212yes—
309#2406C2212yes—
310#2374C2212yes—
311#2374C2212yes—
312#2369C2212yes—
313#2368C2212yes—
314#2368C2212yes—
315#2367C2212yes—
316#2367C2212yes—
317#2365C2212yes—
318#2363C2212yes—
319#2362C2212yes—
320#2362C2212yes—
321#2362C2212yes—
322#2361C2212yes—
323#2360C2212yes—
324#2359C2212yes—
325#2359C2212yes—
326#2337C2212yes—
327#2337C2212yes—
328#2337C2212yes—
329#2337C2212yes—
330#2337C2212yes—
331#2337C2212yes—
332#2336C2212yes—
333#2335C2212yes—
334#2335C2212yes—
335#2335C2212yes—
336#2334C2212yes—
337#2334C2212yes—
338#2334C2212yes—
339#2334C2212yes—
340#2334C2212yes—
341#2334C2212yes—
342#2333C2212yes—
343#2333C2212yes—
344#2332C2212yes—
345#2332C2212yes—
346#2324C2212yes—
347#2323C2212yes—
348#2320C2212yes—
349C4×C4⋊Q8C2211yescharacteristic
350C4×C4⋊Q8C2211yescharacteristic
351C4×C4⋊Q8C2211yescharacteristic
352C4×C4⋊Q8C2211yescharacteristic
353C4×#125C2212yes—
354C4×#125C2212yes—
355C4×#126C2212yes—
356C4×#126C2212yes—
357C4×#126C2212yes—
358C4×#126C2212yes—
359C4×#126C2212yes—
360C4×#124C2211yescharacteristic
361C4×#124C2211yescharacteristic
362C4×#124C2212yes—
363C4×#124C2211yescharacteristic
364C4×#124C2211yescharacteristic
365C4×#124C2212yes—
366C4×#124C2212yes—
367C4×C22⋊Q8C2211yescharacteristic
368C4×C22⋊Q8C2211yescharacteristic
369C4×C22⋊Q8C2212yes—
370C4×C22⋊Q8C2212yes—
371C4×C22⋊Q8C2211yescharacteristic
372C4×C22⋊Q8C2211yescharacteristic
373#2298C2212yes—
374#2297C2212yes—
375#2297C2212yes—
376#2297C2211yescharacteristic
377#2297C2211yescharacteristic
378#2297C2211yescharacteristic
379#2296C2211yescharacteristic
380#2296C2211yescharacteristic
381#2296C2211yescharacteristic
382#2296C2212yes—
383#2295C2211yescharacteristic
384#2295C2211yescharacteristic
385#2295C2212yes—
386#2293C2212yes—
387#2285C2211yescharacteristic
388#2275C2212yes—
389#2274C2212yes—
390C42×Q8C2212yes—
391C42×Q8C2211yescharacteristic
392C42×Q8C2211yescharacteristic
393C4×#117C2212yes—
394C2×C43C2211yescharacteristic
395C22×#41C2312yes—
396C22×#41C2311yescharacteristic
397#542—216no—
398#542—48no—
399#541—48no—
400#533—28no—
401#533—44no—
402#532—44no—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2311yescharacteristic
408C2×C4⋊Q8C2311yescharacteristic
409C2×C4⋊Q8C2312yes—
410C2×C4⋊Q8C2312yes—
411C2×#127C2311yescharacteristic
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#126C2312yes—
419C2×#126C2312yes—
420C2×#126C2312yes—
421C2×#126C2312yes—
422C2×#126C2312yes—
423C2×#125C2312yes—
424C2×#125C2312yes—
425C2×#125C2312yes—
426C2×#125C2312yes—
427C2×#125C2312yes—
428C2×#125C2312yes—
429C2×#124C2311yescharacteristic
430C2×#124C2311yescharacteristic
431C2×#124C2312yes—
432C2×#124C2312yes—
433C2×#124C2312yes—
434C2×#124C2312yes—
435C2×#124C2312yes—
436C2×#124C2312yes—
437C2×#124C2311yescharacteristic
438C2×#124C2311yescharacteristic
439C2×#124C2312yes—
440C2×#124C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2311yescharacteristic
453C2×C22⋊Q8C2311yescharacteristic
454C2×C22⋊Q8C2311yescharacteristic
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2312yes—
457C2×C22⋊Q8C2312yes—
458C2×C22⋊Q8C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2311yescharacteristic
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×C22⋊Q8C2312yes—
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2312yes—
468C2×#121C2312yes—
469C2×#121C2312yes—
470C2×#121C2311yescharacteristic
471C2×#121C2311yescharacteristic
472C2×#121C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2312yes—
482C2×C4×Q8C2312yes—
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2311yescharacteristic
485C2×C4×Q8C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C22×C4⋊C4C2312yes—
504C22×C42C2311yescharacteristic
505C22×C42C2311yescharacteristic
506C22×C42C2311yescharacteristic
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509C22×C42C2311yescharacteristic
510C22×C42C2311yescharacteristic
511#401C2312yes—
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#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#394C2312yes—
623#394C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2312yes—
668#392C2312yes—
669#392C2312yes—
670#392C2312yes—
671#391C2311yescharacteristic
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2311yescharacteristic
678#391C2311yescharacteristic
679#391C2312yes—
680#391C2311yescharacteristic
681#391C2311yescharacteristic
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2312yes—
687#391C2312yes—
688#391C2311yescharacteristic
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2312yes—
697#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2311yescharacteristic
704#391C2311yescharacteristic
705#391C2312yes—
706#391C2311yescharacteristic
707#391C2311yescharacteristic
708#391C2312yes—
709#391C2311yescharacteristic
710#391C2311yescharacteristic
711#391C2312yes—
712#390C2311yescharacteristic
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2311yescharacteristic
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2311yescharacteristic
727#390C2311yescharacteristic
728#390C2311yescharacteristic
729#390C2311yescharacteristic
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2311yescharacteristic
734#390C2312yes—
735#390C2311yescharacteristic
736#390C2311yescharacteristic
737#390C2311yescharacteristic
738#390C2312yes—
739#390C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2311yescharacteristic
746#389C2311yescharacteristic
747#389C2311yescharacteristic
748#389C2312yes—
749#389C2311yescharacteristic
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2311yescharacteristic
764#389C2312yes—
765#389C2311yescharacteristic
766#389C2312yes—
767#389C2312yes—
768#389C2311yescharacteristic
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2311yescharacteristic
778#389C2311yescharacteristic
779#389C2311yescharacteristic
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2311yescharacteristic
784#389C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
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#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
945#387C2312yes—
946#387C2312yes—
947#387C2312yes—
948#387C2312yes—
949#387C2312yes—
950#387C2312yes—
951#387C2312yes—
952#387C2312yes—
953#387C2312yes—
954#387C2312yes—
955#387C2312yes—
956#387C2312yes—
957#386C2312yes—
958#386C2312yes—
959#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
971#386C2312yes—
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#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
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#384C2311yescharacteristic
1028#384C2311yescharacteristic
1029#383C2312yes—
1030#383C2312yes—
1031#383C2312yes—
1032#383C2312yes—
1033#383C2312yes—
1034#383C2312yes—
1035#382C2312yes—
1036#382C2311yescharacteristic
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2311yescharacteristic
1042#382C2311yescharacteristic
1043#382C2312yes—
1044#382C2311yescharacteristic
1045#381C2312yes—
1046#381C2312yes—
1047#381C2312yes—
1048#381C2312yes—
1049#380C2312yes—
1050#380C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2311yescharacteristic
1056#380C2311yescharacteristic
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2311yescharacteristic
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2311yescharacteristic
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2312yes—
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊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—
1133#376C2312yes—
1134#376C2312yes—
1135#376C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C43C2311yescharacteristic
1139C43C2311yescharacteristic
1140C43C2311yescharacteristic
1141C43C2311yescharacteristic
1142C43C2312yes—
1143C43C2311yescharacteristic
1144C43C2311yescharacteristic
1145C43C2311yescharacteristic
1146C43C2311yescharacteristic
1147C43C2312yes—
1148C2×#41—42no—
1149C2×#41—44no—
1150C2×#41—42no—
1151C2×#41—44no—
1152C2×#41—44no—
1153C2×#41—42no—
1154C22×Q8C2412yes—
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2411yescharacteristic
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2412yes—
1162C22×Q8C2412yes—
1163C22×Q8C2411yescharacteristic
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2411yescharacteristic
1168C22×D4C2411yescharacteristic
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2411yescharacteristic
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C23×C4C2411yescharacteristic
1177C23×C4C2411yescharacteristic
1178C23×C4C2411yescharacteristic
1179C23×C4C2411yescharacteristic
1180C23×C4C2411yescharacteristic
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2411yescharacteristic
1188C23×C4C2411yescharacteristic
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C4⋊Q8—24no—
1193C4⋊Q8—24no—
1194C4⋊Q8—28no—
1195C4⋊Q8—42no—
1196C4⋊Q8—42no—
1197C4⋊Q8—42no—
1198C4⋊Q8—44no—
1199C4⋊Q8—44no—
1200#127—42no—
1201#126—28no—
1202#126—28no—
1203#126—28no—
1204#126—28no—
1205#126—44no—
1206#126—44no—
1207#126—44no—
1208#126—44no—
1209#126—44no—
1210#126—44no—
1211#126—44no—
1212#125—28no—
1213#125—28no—
1214#125—44no—
1215#125—44no—
1216#125—44no—
1217#125—44no—
1218#124—28no—
1219#124—28no—
1220#124—28no—
1221#124—28no—
1222#124—24no—
1223#124—24no—
1224#124—42no—
1225#124—42no—
1226#124—44no—
1227#124—44no—
1228#124—44no—
1229#124—44no—
1230#123—28no—
1231#123—28no—
1232#123—44no—
1233#123—44no—
1234#123—44no—
1235#123—44no—
1236#123—44no—
1237C22⋊Q8—24no—
1238C22⋊Q8—28no—
1239C22⋊Q8—24no—
1240C22⋊Q8—28no—
1241C22⋊Q8—28no—
1242C22⋊Q8—28no—
1243C22⋊Q8—44no—
1244C22⋊Q8—44no—
1245C22⋊Q8—44no—
1246C22⋊Q8—44no—
1247C22⋊Q8—44no—
1248C22⋊Q8—44no—
1249C22⋊Q8—44no—
1250C22⋊Q8—44no—
1251C22⋊Q8—42no—
1252C22⋊Q8—42no—
1253C22⋊Q8—44no—
1254#121—28no—
1255#121—42no—
1256#121—42no—
1257#121—44no—
1258#121—44no—
1259#121—44no—
1260#121—44no—
1261#121—44no—
1262C4×Q8—28no—
1263C4×Q8—24no—
1264C4×Q8—28no—
1265C4×Q8—42no—
1266C4×Q8—42no—
1267C4×Q8—44no—
1268C4×Q8—42no—
1269C4×Q8—42no—
1270C4×Q8—44no—
1271C4×Q8—42no—
1272C4×Q8—42no—
1273C4×Q8—44no—
1274C4×Q8#4118yescomplemented
1275C4×D4—28no—
1276C4×D4—44no—
1277C4×D4—42no—
1278C4×D4—42no—
1279C4×D4—44no—
1280C4×D4—44no—
1281C4×D4—44no—
1282#117—28no—
1283#117—28no—
1284#117—42no—
1285#117—44no—
1286#117—44no—
1287#117—44no—
1288#117—44no—
1289#117—42no—
1290#117—42no—
1291#117—44no—
1292C2×C4⋊C4—44no—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2411yescharacteristic
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2411yescharacteristic
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
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⋊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⋊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×C42—24no—
1456C2×C42—24no—
1457C2×C42—24no—
1458C2×C42—42no—
1459C2×C42—42no—
1460C2×C42—42no—
1461C2×C42—42no—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2411yescharacteristic
1467C2×C42C2411yescharacteristic
1468C2×C42C2411yescharacteristic
1469C2×C42C2411yescharacteristic
1470C2×C42C2411yescharacteristic
1471C2×C42C2411yescharacteristic
1472C2×C42C2412yes—
1473C2×C42C2411yescharacteristic
1474C2×C42C2411yescharacteristic
1475C2×C42C2411yescharacteristic
1476C2×C42C2411yescharacteristic
1477C2×C42C2411yescharacteristic
1478C2×C42C2411yescharacteristic
1479C2×C42C2411yescharacteristic
1480C2×C42C2411yescharacteristic
1481C2×C42C2411yescharacteristic
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2412yes—
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2411yescharacteristic
1504C2×C42C2411yescharacteristic
1505C2×C42C2411yescharacteristic
1506C2×C42C2411yescharacteristic
1507C2×C42C2411yescharacteristic
1508C2×C42C2411yescharacteristic
1509C2×C42C2411yescharacteristic
1510C2×C42C2411yescharacteristic
1511C2×C42C2411yescharacteristic
1512C2×C42C2411yescharacteristic
1513C2×C42C2412yes—
1514C2×C42C2411yescharacteristic
1515C2×C42C2411yescharacteristic
1516C2×C42C2411yescharacteristic
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
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—
1616#95C2412yes—
1617C24C2512yes—
1618C24C2512yes—
1619C24C2512yes—
1620C24C2511yescharacteristic
1621#41—88no—
1622#41—816no—
1623C2×Q8—24no—
1624C2×Q8—22no—
1625C2×Q8—24no—
1626C2×Q8—24no—
1627C2×Q8—24no—
1628C2×Q8—24no—
1629C2×Q8—22no—
1630C2×Q8—22no—
1631C2×Q8—22no—
1632C2×Q8—41no—
1633C2×Q8—41no—
1634C2×Q8—42no—
1635C2×Q8—41no—
1636C2×Q8—41no—
1637C2×Q8—41no—
1638C2×Q8—41no—
1639C2×Q8—42no—
1640C2×Q8—42no—
1641C2×Q8—42no—
1642C2×Q8—41no—
1643C2×Q8—41no—
1644C2×Q8—42no—
1645C2×Q8—41no—
1646C2×Q8—41no—
1647C2×Q8—42no—
1648C2×Q8—42no—
1649C2×Q8—42no—
1650C2×Q8—42no—
1651C2×Q8—42no—
1652C2×Q8C2×#4114yes—
1653C2×D4—24no—
1654C2×D4—24no—
1655C2×D4—24no—
1656C2×D4—24no—
1657C2×D4—24no—
1658C2×D4—24no—
1659C2×D4—24no—
1660C2×D4—22no—
1661C2×D4—22no—
1662C2×D4—22no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—41no—
1668C2×D4—41no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—41no—
1674C2×D4—41no—
1675C2×D4—41no—
1676C2×D4—41no—
1677C2×D4—42no—
1678C2×D4—42no—
1679C2×D4—42no—
1680C2×D4—42no—
1681C2×D4—42no—
1682C2×D4—42no—
1683C2×D4—42no—
1684C2×D4—42no—
1685C2×D4—42no—
1686C2×D4—42no—
1687C2×D4—42no—
1688C2×D4—42no—
1689C22×C4—22no—
1690C22×C4—22no—
1691C22×C4—22no—
1692C22×C4—22no—
1693C22×C4—22no—
1694C22×C4—22no—
1695C22×C4—22no—
1696C22×C4—22no—
1697C22×C4—22no—
1698C22×C4—22no—
1699C22×C4—22no—
1700C22×C4—24no—
1701C22×C4—22no—
1702C22×C4—22no—
1703C22×C4—22no—
1704C22×C4—22no—
1705C22×C4—24no—
1706C22×C4—24no—
1707C22×C4—24no—
1708C22×C4—24no—
1709C22×C4—24no—
1710C22×C4—41no—
1711C22×C4—41no—
1712C22×C4—41no—
1713C22×C4—41no—
1714C22×C4—41no—
1715C22×C4—41no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
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—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4—42no—
1736C22×C4—42no—
1737C22×C4C2512yes—
1738C22×C4C2511yescharacteristic
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2511yescharacteristic
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2512yes—
1754C22×C4C2512yes—
1755C22×C4C2512yes—
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2511yescharacteristic
1759C22×C4C2511yescharacteristic
1760C22×C4C2512yes—
1761C22×C4C2511yescharacteristic
1762C22×C4C2512yes—
1763C22×C4C2511yescharacteristic
1764C22×C4C2511yescharacteristic
1765C22×C4C2511yescharacteristic
1766C22×C4C2511yescharacteristic
1767C22×C4C2511yescharacteristic
1768C22×C4C2511yescharacteristic
1769C22×C4C2511yescharacteristic
1770C22×C4C2511yescharacteristic
1771C22×C4C2511yescharacteristic
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—22no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—24no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—24no—
1803C4⋊C4—24no—
1804C4⋊C4—22no—
1805C4⋊C4—22no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—24no—
1809C4⋊C4—24no—
1810C4⋊C4—42no—
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—42no—
1820C4⋊C4—42no—
1821C4⋊C4—41no—
1822C4⋊C4—42no—
1823C4⋊C4—41no—
1824C4⋊C4—42no—
1825C4⋊C4—41no—
1826C4⋊C4—42no—
1827C4⋊C4—41no—
1828C4⋊C4—41no—
1829C4⋊C4—41no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—41no—
1833C4⋊C4—41no—
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⋊C4C2×#4118yes—
1858C4⋊C4C2×#4114yes—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—24no—
1863C22⋊C4—24no—
1864C22⋊C4—24no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—24no—
1871C22⋊C4—24no—
1872C22⋊C4—24no—
1873C22⋊C4—24no—
1874C22⋊C4—24no—
1875C22⋊C4—24no—
1876C22⋊C4—24no—
1877C22⋊C4—24no—
1878C22⋊C4—24no—
1879C22⋊C4—24no—
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—24no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
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—
1934C42—22no—
1935C42—22no—
1936C42—22no—
1937C42—24no—
1938C42—24no—
1939C42—22no—
1940C42—22no—
1941C42—22no—
1942C42—24no—
1943C42—24no—
1944C42—22no—
1945C42—22no—
1946C42—22no—
1947C42—22no—
1948C42—22no—
1949C42—22no—
1950C42—22no—
1951C42—22no—
1952C42—22no—
1953C42—24no—
1954C42—41no—
1955C42—41no—
1956C42—41no—
1957C42—41no—
1958C42—41no—
1959C42—41no—
1960C42—41no—
1961C42—41no—
1962C42—41no—
1963C42—41no—
1964C42—42no—
1965C42—42no—
1966C42—42no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—42no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—42no—
1982C42—42no—
1983C42—42no—
1984C42—42no—
1985C42C2×#4114yes—
1986C42C2×#4118yes—
1987C42H(5,𝔽2)14yes—
1988C422−1+414yes—
1989C23—21no—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—21no—
1995C23—22no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—22no—
2010C23—22no—
2011C23—22no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23#58512yes—
2017C23C2611yescharacteristic
2018Q8—44no—
2019Q8—48no—
2020Q8—44no—
2021Q8—84no—
2022Q8—84no—
2023Q8—82no—
2024Q8—82no—
2025Q8—84no—
2026Q8—82no—
2027Q8—162no—
2028D4—48no—
2029D4—84no—
2030D4—84no—
2031D4—82no—
2032D4—82no—
2033D4—84no—
2034D4—82no—
2035D4—84no—
2036D4—84no—
2037D4—84no—
2038D4—162no—
2039D4—162no—
2040C2×C4—28no—
2041C2×C4—28no—
2042C2×C4—28no—
2043C2×C4—21no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—22no—
2049C2×C4—21no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—21no—
2065C2×C4—21no—
2066C2×C4—21no—
2067C2×C4—21no—
2068C2×C4—21no—
2069C2×C4—21no—
2070C2×C4—22no—
2071C2×C4—21no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
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—21no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—21no—
2098C2×C4—21no—
2099C2×C4—21no—
2100C2×C4—21no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
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—22no—
2130C2×C4—22no—
2131C2×C4—22no—
2132C2×C4—22no—
2133C2×C4—22no—
2134C2×C4—44no—
2135C2×C4—44no—
2136C2×C4—44no—
2137C2×C4—48no—
2138C2×C4—44no—
2139C2×C4—84no—
2140C2×C4—84no—
2141C2×C4—84no—
2142C2×C4—84no—
2143C2×C4—84no—
2144C2×C4—162no—
2145C2×C4—162no—
2146C2×C4—162no—
2147C2×C4C22×#4112yes—
2148C2×C4C22×#4112yes—
2149C2×C4C22×#4114yes—
2150C2×C4C22×#4112yes—
2151C2×C4C22×#4114yes—
2152C2×C4C2×H(5,𝔽2)12yes—
2153C2×C4C2×H(5,𝔽2)12yes—
2154C2×C4C2×H(5,𝔽2)12yes—
2155C2×C4C2×2−1+412yes—
2156C2×C4C2×2−1+412yes—
2157C2×C4C2×2−1+412yes—
2158C2×C4#58512yes—
2159C2×C4#58512yes—
2160C2×C4#58512yes—
2161C22—22no—
2162C22—22no—
2163C22—22no—
2164C22—41no—
2165C22—41no—
2166C22—41no—
2167C22—41no—
2168C22—42no—
2169C22—42no—
2170C22—42no—
2171C22—42no—
2172C22—42no—
2173C22—42no—
2174C22—42no—
2175C22—42no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—42no—
2182C22—42no—
2183C22—42no—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—42no—
2189C22C23×#4111yescharacteristic
2190C22C22×H(5,𝔽2)11yescharacteristic
2191C22C22×2−1+411yescharacteristic
2192C22C2×#58511yescharacteristic
2193C22C2×#58511yescharacteristic
2194C22C2×#58511yescharacteristic
2195C22C2×#58511yescharacteristic
2196C4—22no—
2197C4—22no—
2198C4—22no—
2199C4—22no—
2200C4—24no—
2201C4—22no—
2202C4—22no—
2203C4—22no—
2204C4—22no—
2205C4—22no—
2206C4—22no—
2207C4—22no—
2208C4—24no—
2209C4—22no—
2210C4—42no—
2211C4—42no—
2212C4—42no—
2213C4—42no—
2214C4—42no—
2215C4—42no—
2216C4—42no—
2217C4—42no—
2218C4—42no—
2219C4—42no—
2220C4—42no—
2221C4—42no—
2222C4—42no—
2223C4—42no—
2224C4—42no—
2225C4—42no—
2226C4—42no—
2227C4—41no—
2228C4—41no—
2229C4—42no—
2230C4—42no—
2231C2—42no—
2232C2—82no—
2233C2—82no—
2234C2—82no—
2235C2#6268611yescharacteristic
2236C2#6278811yescharacteristic
2237C2#6280011yescharacteristic
2238C2#6282411yescharacteristic
2239C2#6282611yescharacteristic
2240C2#6283511yescharacteristic
2241C2#6283811yescharacteristic
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. #40435C2semidirect
2. #40434C2semidirect
3. #39835C2semidirect
4. #39830C2semidirect
5. #39828C2semidirect
6. #39827C2semidirect
7. #39702C2semidirect
8. #39700C2semidirect
9. #39699C2semidirect
10. #39451C2semidirect
11. #38878C2semidirect
12. #38876C2semidirect
13. #38871C2semidirect
14. #38868C2semidirect
15. #38821C2semidirect
16. #38820C2semidirect
17. #38763C2semidirect
18. #38762C2semidirect
19. #37811C2semidirect
20. #37810C2semidirect
21. #37260C2semidirect
22. #37238C2semidirect
23. #37195C2semidirect
24. #37192C2semidirect
25. #37145C2semidirect
26. #37142C2semidirect
27. #36641C2semidirect
28. #36639C2semidirect
29. #35477C2semidirect
30. #35471C2semidirect
31. #35440C2semidirect
32. #35436C2semidirect
33. #35220C2semidirect
34. #35134C2semidirect
35. #35127C2semidirect
36. #35125C2semidirect
37. #35112C2semidirect
38. #34285C2semidirect
39. C4×#533C2semidirect
1274. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#404352
#404342
#398352
#398302
#398282
#398272
#397022
#397002
#396992
#394512
#388782
#388762
#388712
#388682
#388212
#388202
#387632
#387622
#378112
#378102
#372602
#372382
#371952
#371922
#371452
#371422
#366412
#366392
#354772
#354712
#354402
#354362
#352202
#351342
#351272
#351252
#351122
#342852
C4×#5332