Finite Group Databasebeta

← #7660800

Subgroups — #7660800

Order 512.

4781 conjugacy classes of subgroups.

The subgroup lattice has 2270 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#52167C211yesmaximal, characteristic, complemented
2#52160C211yesmaximal, characteristic, complemented
3#52152C211yesmaximal, characteristic, complemented
4#42130C212yesmaximal, complemented
5#42125C212yesmaximal, complemented
6#42014C212yesmaximal, complemented
7#41978C212yesmaximal, complemented
8#41972C212yesmaximal, complemented
9#41362C212yesmaximal, complemented
10#41348C212yesmaximal, complemented
11#41158C212yesmaximal, complemented
12#41150C212yesmaximal, complemented
13#39923C212yesmaximal, complemented
14#39838C211yesmaximal, characteristic, complemented
15#39372C211yesmaximal, characteristic, complemented
16#39302C212yesmaximal, complemented
17#38831C211yesmaximal, characteristic, complemented
18#38817C212yesmaximal, complemented
19#38810C211yesmaximal, characteristic, complemented
20#38800C211yesmaximal, characteristic, complemented
21#38475C211yesmaximal, characteristic, complemented
22#38414C212yesmaximal, complemented
23#37822C212yesmaximal, complemented
24#37814C212yesmaximal, complemented
25#37256C211yesmaximal, characteristic, complemented
26#37218C211yesmaximal, characteristic, complemented
27#37196C211yesmaximal, characteristic, complemented
28#37189C212yesmaximal, complemented
29#36870C212yesmaximal, complemented
30#36853C212yesmaximal, complemented
31#36372C211yesmaximal, characteristic, complemented
32#36366C211yesmaximal, characteristic, complemented
33#36353C212yesmaximal, complemented
34#36139C212yesmaximal, complemented
35#35784C212yesmaximal, complemented
36#35733C212yesmaximal, complemented
37#35698C212yesmaximal, complemented
38#34279C211yesmaximal, characteristic, complemented
39#34230C212yesmaximal, complemented
40C2×#542C2211yescharacteristic
41C2×#540C2212yes—
42C2×#532C2212yes—
43C2×#529C2212yes—
44C2×#529C2212yes—
45#2864C2211yescharacteristic
46#2863C2211yescharacteristic
47#2861C2211yescharacteristic
48#2859C2211yescharacteristic
49#2855C2212yes—
50#2854C2212yes—
51#2854C2211yescharacteristic
52#2854C2212yes—
53#2853C2212yes—
54#2852C2212yes—
55#2851C2211yescharacteristic
56#2850C2212yes—
57#2838C2212yes—
58#2837C2212yes—
59#2837C2212yes—
60#2837C2212yes—
61#2830C2212yes—
62#2829C2212yes—
63#2809C2211yescharacteristic
64#2806C2212yes—
65#2806C2211yescharacteristic
66#2805C2211yescharacteristic
67#2803C2212yes—
68#2802C2212yes—
69#2792C2212yes—
70#2791C2212yes—
71#2783C2212yes—
72#2781C2212yes—
73#2780C2212yes—
74#2779C2212yes—
75#2778C2212yes—
76#2773C2212yes—
77#2772C2212yes—
78#2765C2212yes—
79#2763C2212yes—
80#2762C2212yes—
81#2761C2212yes—
82#2761C2212yes—
83#2757C2212yes—
84#2754C2212yes—
85#2754C2212yes—
86#2746C2212yes—
87#2744C2212yes—
88#2734C2211yescharacteristic
89#2733C2212yes—
90#2733C2211yescharacteristic
91#2733C2211yescharacteristic
92#2732C2211yescharacteristic
93#2731C2212yes—
94#2730C2212yes—
95#2730C2212yes—
96#2730C2212yes—
97#2728C2212yes—
98#2727C2211yescharacteristic
99#2727C2211yescharacteristic
100#2727C2211yescharacteristic
101#2726C2211yescharacteristic
102#2726C2212yes—
103#2725C2212yes—
104#2724C2212yes—
105#2724C2211yescharacteristic
106#2724C2211yescharacteristic
107#2721C2212yes—
108#2720C2212yes—
109#2719C2212yes—
110#2718C2212yes—
111#2716C2212yes—
112#2714C2212yes—
113#2714C2212yes—
114#2713C2212yes—
115#2711C2212yes—
116#2710C2212yes—
117#2710C2212yes—
118#2706C2212yes—
119#2706C2212yes—
120#2705C2212yes—
121#2705C2212yes—
122#2705C2212yes—
123#2705C2212yes—
124#2702C2212yes—
125#2701C2212yes—
126#2701C2212yes—
127#2699C2212yes—
128#2695C2212yes—
129#2694C2212yes—
130#2694C2212yes—
131#2690C2212yes—
132#2689C2212yes—
133#2688C2212yes—
134#2687C2212yes—
135#2686C2212yes—
136#2686C2212yes—
137#2682C2212yes—
138#2682C2211yescharacteristic
139#2682C2212yes—
140#2682C2211yescharacteristic
141#2682C2211yescharacteristic
142#2681C2212yes—
143#2676C2212yes—
144#2674C2212yes—
145#2674C2212yes—
146#2673C2212yes—
147#2673C2212yes—
148#2673C2212yes—
149#2673C2212yes—
150#2673C2212yes—
151#2667C2212yes—
152#2667C2212yes—
153#2666C2212yes—
154#2666C2212yes—
155#2664C2212yes—
156#2663C2212yes—
157#2661C2212yes—
158#2661C2212yes—
159#2661C2212yes—
160#2661C2212yes—
161#2661C2212yes—
162#2655C2212yes—
163#2654C2212yes—
164#2653C2212yes—
165#2652C2212yes—
166#2650C2212yes—
167#2650C2212yes—
168#2649C2212yes—
169#2649C2212yes—
170#2648C2212yes—
171#2648C2212yes—
172#2636C2212yes—
173#2635C2212yes—
174#2631C2212yes—
175#2630C2212yes—
176#2630C2212yes—
177#2629C2212yes—
178#2612C2212yes—
179#2610C2212yes—
180#2609C2212yes—
181#2606C2212yes—
182#2606C2212yes—
183#2603C2212yes—
184#2602C2212yes—
185#2601C2212yes—
186#2600C2212yes—
187#2598C2212yes—
188#2598C2212yes—
189#2597C2212yes—
190#2596C2212yes—
191#2594C2212yes—
192#2594C2212yes—
193#2594C2212yes—
194#2594C2212yes—
195#2593C2212yes—
196#2590C2212yes—
197#2589C2212yes—
198#2587C2212yes—
199#2585C2212yes—
200#2578C2212yes—
201#2578C2212yes—
202#2578C2212yes—
203#2576C2212yes—
204#2575C2212yes—
205#2575C2212yes—
206#2574C2212yes—
207#2574C2212yes—
208#2573C2212yes—
209#2572C2212yes—
210#2570C2211yescharacteristic
211#2569C2212yes—
212#2566C2211yescharacteristic
213#2559C2212yes—
214#2558C2212yes—
215#2558C2212yes—
216#2558C2212yes—
217#2557C2212yes—
218#2556C2212yes—
219#2555C2212yes—
220#2554C2212yes—
221#2554C2212yes—
222#2553C2212yes—
223#2553C2212yes—
224#2553C2212yes—
225#2550C2212yes—
226#2544C2212yes—
227#2535C2212yes—
228#2530C2212yes—
229#2526C2212yes—
230#2525C2212yes—
231#2522C2212yes—
232#2521C2212yes—
233#2521C2212yes—
234#2518C2212yes—
235#2516C2212yes—
236#2516C2212yes—
237#2515C2212yes—
238#2513C2212yes—
239#2511C2211yescharacteristic
240#2510C2212yes—
241#2497C2211yescharacteristic
242#2495C2211yescharacteristic
243#2493C2212yes—
244#2479C2212yes—
245#2479C2212yes—
246#2478C2212yes—
247#2476C2212yes—
248#2475C2212yes—
249#2474C2212yes—
250#2474C2212yes—
251#2474C2212yes—
252#2473C2212yes—
253#2471C2212yes—
254#2471C2212yes—
255#2470C2212yes—
256#2468C2212yes—
257#2468C2212yes—
258#2468C2212yes—
259#2467C2212yes—
260#2467C2212yes—
261#2464C2212yes—
262#2464C2212yes—
263#2464C2212yes—
264#2464C2212yes—
265#2461C2212yes—
266#2460C2212yes—
267#2460C2212yes—
268#2458C2212yes—
269#2457C2212yes—
270#2457C2212yes—
271#2457C2212yes—
272#2457C2212yes—
273#2456C2212yes—
274#2456C2212yes—
275#2455C2212yes—
276#2455C2212yes—
277#2454C2211yescharacteristic
278#2454C2212yes—
279#2454C2212yes—
280#2451C2212yes—
281#2450C2212yes—
282#2447C2212yes—
283#2447C2211yescharacteristic
284#2445C2211yescharacteristic
285#2445C2212yes—
286#2444C2212yes—
287#2443C2212yes—
288#2443C2212yes—
289#2443C2212yes—
290#2441C2211yescharacteristic
291#2431C2211yescharacteristic
292#2430C2212yes—
293#2425C2212yes—
294#2425C2212yes—
295#2425C2212yes—
296#2425C2212yes—
297#2425C2212yes—
298#2422C2211yescharacteristic
299#2422C2212yes—
300#2422C2212yes—
301#2420C2211yescharacteristic
302#2420C2212yes—
303#2419C2212yes—
304#2414C2212yes—
305#2413C2212yes—
306#2413C2212yes—
307#2407C2212yes—
308#2406C2212yes—
309#2406C2212yes—
310#2397C2212yes—
311#2396C2212yes—
312#2395C2212yes—
313#2392C2212yes—
314#2392C2212yes—
315#2392C2212yes—
316#2392C2212yes—
317#2388C2212yes—
318#2388C2212yes—
319#2374C2212yes—
320#2374C2212yes—
321#2373C2212yes—
322#2373C2212yes—
323#2372C2212yes—
324#2370C2211yescharacteristic
325#2370C2212yes—
326#2370C2212yes—
327#2368C2212yes—
328#2367C2212yes—
329#2367C2212yes—
330#2367C2212yes—
331#2364C2212yes—
332#2363C2211yescharacteristic
333#2362C2212yes—
334#2361C2212yes—
335#2361C2212yes—
336#2360C2212yes—
337#2360C2212yes—
338#2359C2212yes—
339#2359C2212yes—
340#2359C2212yes—
341#2359C2212yes—
342#2353C2212yes—
343#2353C2212yes—
344#2349C2211yescharacteristic
345#2349C2212yes—
346#2349C2212yes—
347#2347C2212yes—
348#2347C2212yes—
349#2343C2212yes—
350#2343C2212yes—
351#2339C2211yescharacteristic
352#2339C2212yes—
353#2335C2212yes—
354#2335C2212yes—
355#2335C2212yes—
356#2334C2212yes—
357#2334C2212yes—
358#2334C2212yes—
359#2334C2212yes—
360#2334C2212yes—
361#2333C2212yes—
362#2331C2211yescharacteristic
363#2326C2211yescharacteristic
364#2324C2211yescharacteristic
365#2323C2211yescharacteristic
366#2320C2212yes—
367#2319C2212yes—
368#2314C2211yescharacteristic
369C4×C4⋊Q8C2211yescharacteristic
370C4×#127C2211yescharacteristic
371C4×#124C2211yescharacteristic
372C4×C22⋊Q8C2211yescharacteristic
373C4×#123C2212yes—
374C4×#123C2212yes—
375C4×#123C2212yes—
376C4×#123C2212yes—
377C4×#123C2212yes—
378C4×#121C2211yescharacteristic
379C4×#121C2212yes—
380C4×#121C2211yescharacteristic
381#2297C2211yescharacteristic
382#2296C2212yes—
383#2295C2211yescharacteristic
384#2293C2211yescharacteristic
385#2293C2211yescharacteristic
386#2293C2211yescharacteristic
387#2293C2211yescharacteristic
388#2290C2212yes—
389#2283C2212yes—
390#2276C2211yescharacteristic
391#2275C2212yes—
392#2275C2211yescharacteristic
393C4×#117C2211yescharacteristic
394C2×C4×C4⋊C4C2212yes—
395C22×#41C2311yescharacteristic
396C22×#41C2312yes—
397#542—28no—
398#540—48no—
399#532—48no—
400C2×C4⋊Q8C2311yescharacteristic
401C2×C4⋊Q8C2312yes—
402C2×#127C2311yescharacteristic
403C2×#127C2312yes—
404#529—216no—
405#529—48no—
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#125C2312yes—
414C2×#125C2311yescharacteristic
415C2×#125C2312yes—
416C2×#125C2312yes—
417C2×#125C2311yescharacteristic
418C2×#125C2312yes—
419C2×#124C2311yescharacteristic
420C2×#124C2312yes—
421C2×#124C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2311yescharacteristic
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×#123C2312yes—
440C2×#123C2312yes—
441C2×#123C2312yes—
442C2×#123C2312yes—
443C2×#123C2312yes—
444C2×#123C2312yes—
445C2×C22⋊Q8C2311yescharacteristic
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×#121C2311yescharacteristic
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2311yescharacteristic
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2311yescharacteristic
460C2×#121C2312yes—
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2312yes—
464C2×#121C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×#117C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C42C2312yes—
507C22×C42C2311yescharacteristic
508C22×C42C2312yes—
509C22×C42C2312yes—
510#401C2312yes—
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#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
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#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#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#395C2312yes—
632#395C2312yes—
633#395C2312yes—
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#394C2312yes—
652#394C2312yes—
653#394C2312yes—
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#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#392C2312yes—
682#392C2312yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#392C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2312yes—
698#392C2312yes—
699#392C2312yes—
700#392C2312yes—
701#392C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2311yescharacteristic
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2311yescharacteristic
713#391C2311yescharacteristic
714#391C2312yes—
715#391C2311yescharacteristic
716#391C2311yescharacteristic
717#391C2311yescharacteristic
718#391C2311yescharacteristic
719#390C2311yescharacteristic
720#390C2312yes—
721#390C2311yescharacteristic
722#390C2312yes—
723#390C2311yescharacteristic
724#390C2311yescharacteristic
725#390C2312yes—
726#390C2312yes—
727#390C2311yescharacteristic
728#390C2312yes—
729#390C2311yescharacteristic
730#390C2312yes—
731#390C2311yescharacteristic
732#390C2312yes—
733#390C2312yes—
734#390C2312yes—
735#390C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2311yescharacteristic
739#390C2312yes—
740#390C2312yes—
741#390C2311yescharacteristic
742#390C2312yes—
743#390C2312yes—
744#390C2312yes—
745#390C2311yescharacteristic
746#390C2311yescharacteristic
747#390C2312yes—
748#389C2312yes—
749#389C2311yescharacteristic
750#389C2311yescharacteristic
751#389C2311yescharacteristic
752#389C2311yescharacteristic
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2311yescharacteristic
777#389C2311yescharacteristic
778#389C2311yescharacteristic
779#389C2311yescharacteristic
780#389C2311yescharacteristic
781#389C2312yes—
782#389C2312yes—
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2311yescharacteristic
786#389C2312yes—
787#389C2311yescharacteristic
788#389C2311yescharacteristic
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2311yescharacteristic
793#389C2312yes—
794#389C2311yescharacteristic
795#389C2312yes—
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#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#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#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#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#384C2311yescharacteristic
1019#384C2311yescharacteristic
1020#384C2311yescharacteristic
1021#384C2311yescharacteristic
1022#383C2312yes—
1023#383C2312yes—
1024#383C2312yes—
1025#383C2312yes—
1026#383C2312yes—
1027#382C2311yescharacteristic
1028#382C2311yescharacteristic
1029#382C2311yescharacteristic
1030#382C2311yescharacteristic
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#381C2312yes—
1040#381C2312yes—
1041#381C2312yes—
1042#381C2312yes—
1043#381C2312yes—
1044#381C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2311yescharacteristic
1057#380C2312yes—
1058#380C2311yescharacteristic
1059#380C2312yes—
1060#380C2311yescharacteristic
1061#380C2311yescharacteristic
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065C4×C4⋊C4C2311yescharacteristic
1066C4×C4⋊C4C2311yescharacteristic
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2311yescharacteristic
1072C4×C4⋊C4C2311yescharacteristic
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2311yescharacteristic
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2311yescharacteristic
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2311yescharacteristic
1100C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2312yes—
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2311yescharacteristic
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2311yescharacteristic
1135#376C2312yes—
1136#376C2312yes—
1137#376C2311yescharacteristic
1138#376C2311yescharacteristic
1139#376C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C43C2311yescharacteristic
1146C43C2311yescharacteristic
1147C2×#41—24no—
1148C2×#41—42no—
1149C2×#41—44no—
1150C2×#41—44no—
1151C2×#41—81no—
1152C2×#41—82no—
1153C22×Q8C2412yes—
1154C22×Q8C2411yescharacteristic
1155C22×Q8C2412yes—
1156C22×Q8C2411yescharacteristic
1157C22×D4C2412yes—
1158C22×D4C2412yes—
1159C22×D4C2412yes—
1160C22×D4C2411yescharacteristic
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2411yescharacteristic
1164C22×D4C2412yes—
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2411yescharacteristic
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2411yescharacteristic
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2411yescharacteristic
1193C23×C4C2412yes—
1194C23×C4C2412yes—
1195C23×C4C2412yes—
1196C4⋊Q8—24no—
1197C4⋊Q8—44no—
1198#127—24no—
1199#127—44no—
1200#126—28no—
1201#126—28no—
1202#126—28no—
1203#126—44no—
1204#126—44no—
1205#126—44no—
1206#126—82no—
1207#125—28no—
1208#125—42no—
1209#125—44no—
1210#125—44no—
1211#125—81no—
1212#125—82no—
1213#124—28no—
1214#124—24no—
1215#124—28no—
1216#124—44no—
1217#124—44no—
1218#124—44no—
1219#124—81no—
1220#123—28no—
1221#123—28no—
1222#123—28no—
1223#123—28no—
1224#123—44no—
1225#123—44no—
1226#123—44no—
1227#123—44no—
1228#123—44no—
1229#123—44no—
1230#123—44no—
1231#123—44no—
1232#123—44no—
1233#123—44no—
1234#123—44no—
1235#123—82no—
1236#123—82no—
1237#123—82no—
1238#123—82no—
1239C22⋊Q8—28no—
1240C22⋊Q8—24no—
1241C22⋊Q8—28no—
1242C22⋊Q8—44no—
1243C22⋊Q8—82no—
1244#121—28no—
1245#121—28no—
1246#121—28no—
1247#121—24no—
1248#121—42no—
1249#121—44no—
1250#121—44no—
1251#121—44no—
1252#121—44no—
1253#121—44no—
1254#121—42no—
1255#121—44no—
1256#121—44no—
1257#121—44no—
1258#121—82no—
1259C4×Q8—42no—
1260C4×Q8—42no—
1261C4×Q8—44no—
1262C4×Q8#4118yescomplemented
1263C4×D4—24no—
1264C4×D4—28no—
1265C4×D4—28no—
1266C4×D4—28no—
1267C4×D4—24no—
1268C4×D4—42no—
1269C4×D4—44no—
1270C4×D4—42no—
1271C4×D4—42no—
1272C4×D4—42no—
1273C4×D4—42no—
1274C4×D4—44no—
1275C4×D4—44no—
1276C4×D4—44no—
1277C4×D4—44no—
1278C4×D4—44no—
1279C4×D4—44no—
1280C4×D4—44no—
1281C4×D4—44no—
1282C4×D4—44no—
1283C4×D4—44no—
1284C4×D4—82no—
1285C4×D4—82no—
1286C4×D4—81no—
1287C4×D4—81no—
1288C4×D4—82no—
1289#117—28no—
1290#117—28no—
1291#117—24no—
1292#117—44no—
1293#117—42no—
1294#117—44no—
1295#117—44no—
1296#117—44no—
1297#117—81no—
1298C2×C4⋊C4—44no—
1299C2×C4⋊C4—44no—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2411yescharacteristic
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2411yescharacteristic
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2411yescharacteristic
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2411yescharacteristic
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2411yescharacteristic
1354C2×C4⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1377C2×C4⋊C4C2411yescharacteristic
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2411yescharacteristic
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2411yescharacteristic
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2411yescharacteristic
1394C2×C22⋊C4C2411yescharacteristic
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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×C42—28no—
1475C2×C42—42no—
1476C2×C42—44no—
1477C2×C42—44no—
1478C2×C42C2411yescharacteristic
1479C2×C42C2411yescharacteristic
1480C2×C42C2411yescharacteristic
1481C2×C42C2412yes—
1482C2×C42C2411yescharacteristic
1483C2×C42C2411yescharacteristic
1484C2×C42C2411yescharacteristic
1485C2×C42C2411yescharacteristic
1486C2×C42C2411yescharacteristic
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2411yescharacteristic
1494C2×C42C2412yes—
1495C2×C42C2411yescharacteristic
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
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×C42C2412yes—
1518#95C2411yescharacteristic
1519#95C2412yes—
1520#95C2411yescharacteristic
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#95C2411yescharacteristic
1536#95C2411yescharacteristic
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2411yescharacteristic
1542#95C2411yescharacteristic
1543#95C2412yes—
1544#95C2411yescharacteristic
1545#95C2411yescharacteristic
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—
1616C24C2512yes—
1617C24C2512yes—
1618C24C2511yescharacteristic
1619C24C2512yes—
1620C24C2512yes—
1621#41—88no—
1622#41—816no—
1623C2×Q8—24no—
1624C2×Q8—22no—
1625C2×Q8—41no—
1626C2×Q8—41no—
1627C2×Q8—42no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—41no—
1631C2×Q8—42no—
1632C2×Q8—41no—
1633C2×Q8—42no—
1634C2×Q8C2×#4114yes—
1635C2×D4—24no—
1636C2×D4—24no—
1637C2×D4—24no—
1638C2×D4—24no—
1639C2×D4—24no—
1640C2×D4—24no—
1641C2×D4—24no—
1642C2×D4—24no—
1643C2×D4—24no—
1644C2×D4—24no—
1645C2×D4—22no—
1646C2×D4—24no—
1647C2×D4—22no—
1648C2×D4—22no—
1649C2×D4—41no—
1650C2×D4—41no—
1651C2×D4—41no—
1652C2×D4—42no—
1653C2×D4—42no—
1654C2×D4—41no—
1655C2×D4—42no—
1656C2×D4—41no—
1657C2×D4—42no—
1658C2×D4—42no—
1659C2×D4—41no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—41no—
1667C2×D4—41no—
1668C2×D4—42no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—42no—
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—
1689C2×D4—42no—
1690C2×D4—42no—
1691C2×D4—42no—
1692C2×D4—42no—
1693C2×D4—42no—
1694C2×D4H(5,𝔽2)14yes—
1695C22×C4—24no—
1696C22×C4—24no—
1697C22×C4—24no—
1698C22×C4—24no—
1699C22×C4—24no—
1700C22×C4—24no—
1701C22×C4—24no—
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—24no—
1711C22×C4—24no—
1712C22×C4—24no—
1713C22×C4—24no—
1714C22×C4—22no—
1715C22×C4—41no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—41no—
1720C22×C4—41no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—41no—
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×C4—42no—
1738C22×C4—42no—
1739C22×C4—42no—
1740C22×C4—42no—
1741C22×C4—41no—
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×C4C2511yescharacteristic
1753C22×C4C2511yescharacteristic
1754C22×C4C2512yes—
1755C22×C4C2512yes—
1756C22×C4C2512yes—
1757C22×C4C2511yescharacteristic
1758C22×C4C2512yes—
1759C22×C4C2512yes—
1760C22×C4C2511yescharacteristic
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2511yescharacteristic
1768C22×C4C2511yescharacteristic
1769C22×C4C2512yes—
1770C22×C4C2512yes—
1771C22×C4C2512yes—
1772C22×C4C2512yes—
1773C22×C4C2512yes—
1774C22×C4C2511yescharacteristic
1775C22×C4C2512yes—
1776C22×C4C2512yes—
1777C22×C4C2511yescharacteristic
1778C22×C4C2511yescharacteristic
1779C22×C4C2512yes—
1780C22×C4C2512yes—
1781C22×C4C2511yescharacteristic
1782C22×C4C2511yescharacteristic
1783C22×C4C2511yescharacteristic
1784C22×C4C2511yescharacteristic
1785C22×C4C2511yescharacteristic
1786C4⋊C4—22no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—22no—
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—24no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—24no—
1806C4⋊C4—24no—
1807C4⋊C4—22no—
1808C4⋊C4—24no—
1809C4⋊C4—22no—
1810C4⋊C4—22no—
1811C4⋊C4—22no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—41no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—41no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—41no—
1827C4⋊C4—41no—
1828C4⋊C4—41no—
1829C4⋊C4—41no—
1830C4⋊C4—41no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—41no—
1839C4⋊C4—42no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—41no—
1843C4⋊C4—41no—
1844C4⋊C4—42no—
1845C4⋊C4—41no—
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—41no—
1866C4⋊C4—41no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4C2×#4118yes—
1871C4⋊C4C2×#4114yes—
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—22no—
1881C22⋊C4—24no—
1882C22⋊C4—24no—
1883C22⋊C4—22no—
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—24no—
1896C22⋊C4—24no—
1897C22⋊C4—24no—
1898C22⋊C4—22no—
1899C22⋊C4—24no—
1900C22⋊C4—24no—
1901C22⋊C4—24no—
1902C22⋊C4—24no—
1903C22⋊C4—24no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—41no—
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—
1960C42—24no—
1961C42—24no—
1962C42—24no—
1963C42—22no—
1964C42—22no—
1965C42—22no—
1966C42—22no—
1967C42—22no—
1968C42—22no—
1969C42—22no—
1970C42—22no—
1971C42—41no—
1972C42—41no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42—42no—
1980C42—42no—
1981C42—41no—
1982C42—41no—
1983C42—42no—
1984C42—42no—
1985C42—41no—
1986C42—42no—
1987C42—42no—
1988C42—42no—
1989C42—42no—
1990C42—42no—
1991C42—41no—
1992C42—42no—
1993C42—42no—
1994C42—42no—
1995C42—41no—
1996C42—42no—
1997C42—42no—
1998C42C2×#4118yes—
1999C42C2×#4114yes—
2000C23—22no—
2001C23—22no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—21no—
2010C23—22no—
2011C23—22no—
2012C23—21no—
2013C23—22no—
2014C23—22no—
2015C23—21no—
2016C23—22no—
2017C23—22no—
2018C23—22no—
2019C23—22no—
2020C23—22no—
2021C23—21no—
2022C23—22no—
2023C23—22no—
2024C23—22no—
2025C23—21no—
2026C23—21no—
2027C23—22no—
2028C23—22no—
2029C23—22no—
2030C23—22no—
2031C23—22no—
2032C23—22no—
2033C23—21no—
2034C23C2×H(5,𝔽2)14yes—
2035C23C2611yescharacteristic
2036Q8—44no—
2037Q8—84no—
2038Q8—82no—
2039Q8—84no—
2040D4—44no—
2041D4—48no—
2042D4—48no—
2043D4—44no—
2044D4—44no—
2045D4—48no—
2046D4—48no—
2047D4—84no—
2048D4—82no—
2049D4—84no—
2050D4—84no—
2051D4—84no—
2052D4—84no—
2053D4—84no—
2054D4—84no—
2055D4—84no—
2056D4—84no—
2057D4—162no—
2058D4—162no—
2059D4—162no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—22no—
2063C2×C4—21no—
2064C2×C4—21no—
2065C2×C4—21no—
2066C2×C4—21no—
2067C2×C4—21no—
2068C2×C4—21no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—21no—
2072C2×C4—21no—
2073C2×C4—21no—
2074C2×C4—21no—
2075C2×C4—21no—
2076C2×C4—21no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—21no—
2082C2×C4—21no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—21no—
2086C2×C4—22no—
2087C2×C4—21no—
2088C2×C4—21no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—21no—
2101C2×C4—21no—
2102C2×C4—21no—
2103C2×C4—21no—
2104C2×C4—21no—
2105C2×C4—22no—
2106C2×C4—21no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—21no—
2115C2×C4—22no—
2116C2×C4—22no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—21no—
2121C2×C4—21no—
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—21no—
2133C2×C4—22no—
2134C2×C4—21no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—21no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—22no—
2141C2×C4—22no—
2142C2×C4—22no—
2143C2×C4—22no—
2144C2×C4—21no—
2145C2×C4—21no—
2146C2×C4—21no—
2147C2×C4—22no—
2148C2×C4—22no—
2149C2×C4—21no—
2150C2×C4—22no—
2151C2×C4—22no—
2152C2×C4—22no—
2153C2×C4—44no—
2154C2×C4—48no—
2155C2×C4—48no—
2156C2×C4—48no—
2157C2×C4—48no—
2158C2×C4—44no—
2159C2×C4—84no—
2160C2×C4—84no—
2161C2×C4—84no—
2162C2×C4—84no—
2163C2×C4—84no—
2164C2×C4—82no—
2165C2×C4—84no—
2166C2×C4—84no—
2167C2×C4—84no—
2168C2×C4—84no—
2169C2×C4—162no—
2170C2×C4—162no—
2171C2×C4—162no—
2172C2×C4C22×#4112yes—
2173C2×C4C22×#4114yes—
2174C2×C4C22×#4112yes—
2175C2×C4C22×#4114yes—
2176C2×C4C22×#4112yes—
2177C2×C4C2×H(5,𝔽2)12yes—
2178C2×C4#58512yes—
2179C2×C4#58512yes—
2180C2×C4#58512yes—
2181C22—24no—
2182C22—24no—
2183C22—24no—
2184C22—42no—
2185C22—42no—
2186C22—42no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—42no—
2191C22—41no—
2192C22—42no—
2193C22—42no—
2194C22—42no—
2195C22—41no—
2196C22—42no—
2197C22—42no—
2198C22—41no—
2199C22—42no—
2200C22—42no—
2201C22—42no—
2202C22—42no—
2203C22—41no—
2204C22—41no—
2205C22—42no—
2206C22—42no—
2207C22—42no—
2208C22—41no—
2209C22—42no—
2210C22—42no—
2211C22—42no—
2212C22—41no—
2213C22—42no—
2214C22—42no—
2215C22—42no—
2216C22C23×#4111yescharacteristic
2217C22C22×H(5,𝔽2)11yescharacteristic
2218C22C2×#58511yescharacteristic
2219C22C2×#58511yescharacteristic
2220C22C2×#58511yescharacteristic
2221C22H(7,𝔽2)11yescharacteristic
2222C222−1+611yescharacteristic
2223C4—24no—
2224C4—22no—
2225C4—22no—
2226C4—22no—
2227C4—22no—
2228C4—22no—
2229C4—22no—
2230C4—22no—
2231C4—24no—
2232C4—42no—
2233C4—42no—
2234C4—41no—
2235C4—41no—
2236C4—42no—
2237C4—42no—
2238C4—42no—
2239C4—42no—
2240C4—42no—
2241C4—42no—
2242C4—42no—
2243C4—41no—
2244C4—41no—
2245C4—41no—
2246C4—42no—
2247C4—42no—
2248C4—42no—
2249C4—42no—
2250C4—42no—
2251C4—42no—
2252C4—42no—
2253C4—41no—
2254C4—42no—
2255C4—42no—
2256C4—41no—
2257C2—44no—
2258C2—82no—
2259C2—82no—
2260C2—82no—
2261C2—81no—
2262C2#6268611yescharacteristic
2263C2#6290011yescharacteristic
2264C2#6293411yescharacteristic
2265C2#6298511yescharacteristic
2266C2#6300611yescharacteristic
2267C2#6301811yescharacteristic
2268C2#6305611yescharacteristic
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. #52167C2semidirect
2. #52160C2semidirect
3. #52152C2semidirect
4. #42130C2semidirect
5. #42125C2semidirect
6. #42014C2semidirect
7. #41978C2semidirect
8. #41972C2semidirect
9. #41362C2semidirect
10. #41348C2semidirect
11. #41158C2semidirect
12. #41150C2semidirect
13. #39923C2semidirect
14. #39838C2semidirect
15. #39372C2semidirect
16. #39302C2semidirect
17. #38831C2semidirect
18. #38817C2semidirect
19. #38810C2semidirect
20. #38800C2semidirect
21. #38475C2semidirect
22. #38414C2semidirect
23. #37822C2semidirect
24. #37814C2semidirect
25. #37256C2semidirect
26. #37218C2semidirect
27. #37196C2semidirect
28. #37189C2semidirect
29. #36870C2semidirect
30. #36853C2semidirect
31. #36372C2semidirect
32. #36366C2semidirect
33. #36353C2semidirect
34. #36139C2semidirect
35. #35784C2semidirect
36. #35733C2semidirect
37. #35698C2semidirect
38. #34279C2semidirect
39. #34230C2semidirect
1262. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#521672
#521602
#521522
#421302
#421252
#420142
#419782
#419722
#413622
#413482
#411582
#411502
#399232
#398382
#393722
#393022
#388312
#388172
#388102
#388002
#384752
#384142
#378222
#378142
#372562
#372182
#371962
#371892
#368702
#368532
#363722
#363662
#363532
#361392
#357842
#357332
#356982
#342792
#342302