Finite Group Databasebeta

← #7895399

Subgroups — #7895399

Order 512.

4642 conjugacy classes of subgroups.

The subgroup lattice has 2256 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60046C211yesmaximal, characteristic, complemented
2#59792C212yesmaximal, complemented
3#52280C211yesmaximal, characteristic, complemented
4#51500C212yesmaximal, complemented
5#51284C212yesmaximal, complemented
6#50358C212yesmaximal, complemented
7#49382C212yesmaximal, complemented
8#48815C212yesmaximal, complemented
9#48229C212yesmaximal, complemented
10#47636C212yesmaximal, complemented
11#47303C212yesmaximal, complemented
12#45940C211yesmaximal, characteristic, complemented
13#45786C211yesmaximal, characteristic, complemented
14#44405C212yesmaximal, complemented
15#44079C212yesmaximal, complemented
16#43549C212yesmaximal, complemented
17#43487C212yesmaximal, complemented
18#43116C212yesmaximal, complemented
19#42064C212yesmaximal, complemented
20#41693C212yesmaximal, complemented
21#41503C212yesmaximal, complemented
22#41270C212yesmaximal, complemented
23#40440C212yesmaximal, complemented
24#39828C211yesmaximal, characteristic, complemented
25#39640C211yesmaximal, characteristic, complemented
26#39249C212yesmaximal, complemented
27#38892C212yesmaximal, complemented
28#38821C211yesmaximal, characteristic, complemented
29#38788C211yesmaximal, characteristic, complemented
30#38761C211yesmaximal, characteristic, complemented
31#38484C211yesmaximal, characteristic, complemented
32#37315C211yesmaximal, characteristic, complemented
33#37252C211yesmaximal, characteristic, complemented
34#36396C211yesmaximal, characteristic, complemented
35#35909C212yesmaximal, complemented
36#35499C212yesmaximal, complemented
37#35037C211yesmaximal, characteristic, complemented
38#34527C212yesmaximal, complemented
39#34324C211yesmaximal, characteristic, complemented
40C2×#562C2212yes—
41C2×#556C2211yescharacteristic
42C2×#556C2212yes—
43C2×#554C2212yes—
44C2×#553C2211yescharacteristic
45C2×#548C2211yescharacteristic
46#2864C2212yes—
47#2864C2211yescharacteristic
48#2861C2211yescharacteristic
49#2860C2211yescharacteristic
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2854C2211yescharacteristic
53#2850C2211yescharacteristic
54#2837C2212yes—
55#2828C2212yes—
56#2828C2212yes—
57#2813C2212yes—
58#2809C2211yescharacteristic
59#2808C2212yes—
60#2808C2211yescharacteristic
61#2808C2212yes—
62#2806C2211yescharacteristic
63#2806C2211yescharacteristic
64#2805C2211yescharacteristic
65#2805C2211yescharacteristic
66#2805C2211yescharacteristic
67#2803C2212yes—
68#2798C2212yes—
69#2798C2212yes—
70#2797C2212yes—
71#2795C2212yes—
72#2795C2212yes—
73#2793C2212yes—
74#2793C2212yes—
75#2781C2212yes—
76#2781C2212yes—
77#2780C2212yes—
78#2779C2212yes—
79#2779C2212yes—
80#2775C2212yes—
81#2774C2212yes—
82#2774C2212yes—
83#2773C2212yes—
84#2773C2212yes—
85#2772C2212yes—
86#2772C2212yes—
87#2768C2212yes—
88#2767C2212yes—
89#2767C2212yes—
90#2766C2212yes—
91#2762C2212yes—
92#2761C2212yes—
93#2761C2212yes—
94#2757C2212yes—
95#2756C2212yes—
96#2753C2212yes—
97#2753C2212yes—
98#2753C2212yes—
99#2753C2212yes—
100#2753C2212yes—
101#2752C2212yes—
102#2733C2211yescharacteristic
103#2732C2212yes—
104#2732C2211yescharacteristic
105#2732C2211yescharacteristic
106#2732C2212yes—
107#2731C2212yes—
108#2730C2212yes—
109#2730C2212yes—
110#2729C2212yes—
111#2727C2211yescharacteristic
112#2727C2211yescharacteristic
113#2725C2212yes—
114#2724C2211yescharacteristic
115#2724C2211yescharacteristic
116#2723C2212yes—
117#2720C2212yes—
118#2717C2212yes—
119#2715C2212yes—
120#2714C2212yes—
121#2714C2212yes—
122#2714C2212yes—
123#2713C2212yes—
124#2713C2212yes—
125#2711C2212yes—
126#2710C2212yes—
127#2705C2212yes—
128#2705C2212yes—
129#2703C2212yes—
130#2700C2212yes—
131#2700C2212yes—
132#2698C2212yes—
133#2698C2212yes—
134#2698C2212yes—
135#2691C2212yes—
136#2691C2212yes—
137#2691C2212yes—
138#2689C2212yes—
139#2688C2212yes—
140#2683C2211yescharacteristic
141#2682C2211yescharacteristic
142#2681C2212yes—
143#2681C2212yes—
144#2677C2212yes—
145#2676C2212yes—
146#2675C2212yes—
147#2674C2212yes—
148#2674C2212yes—
149#2673C2212yes—
150#2672C2212yes—
151#2672C2212yes—
152#2664C2212yes—
153#2664C2212yes—
154#2662C2212yes—
155#2654C2212yes—
156#2654C2212yes—
157#2653C2212yes—
158#2652C2212yes—
159#2650C2212yes—
160#2650C2212yes—
161#2649C2212yes—
162#2649C2212yes—
163#2648C2212yes—
164#2646C2212yes—
165#2640C2212yes—
166#2630C2212yes—
167#2630C2212yes—
168#2624C2212yes—
169#2611C2212yes—
170#2611C2212yes—
171#2609C2212yes—
172#2608C2212yes—
173#2603C2212yes—
174#2603C2212yes—
175#2600C2212yes—
176#2600C2212yes—
177#2600C2212yes—
178#2599C2212yes—
179#2598C2212yes—
180#2598C2212yes—
181#2597C2212yes—
182#2595C2212yes—
183#2594C2212yes—
184#2593C2212yes—
185#2588C2212yes—
186#2586C2212yes—
187#2586C2212yes—
188#2578C2212yes—
189#2576C2212yes—
190#2576C2212yes—
191#2574C2212yes—
192#2573C2212yes—
193#2573C2212yes—
194#2573C2212yes—
195#2570C2212yes—
196#2569C2212yes—
197#2568C2212yes—
198#2565C2211yescharacteristic
199#2560C2212yes—
200#2560C2212yes—
201#2560C2212yes—
202#2560C2212yes—
203#2560C2212yes—
204#2560C2212yes—
205#2559C2212yes—
206#2559C2212yes—
207#2559C2212yes—
208#2558C2212yes—
209#2557C2212yes—
210#2557C2212yes—
211#2556C2212yes—
212#2555C2212yes—
213#2555C2212yes—
214#2554C2212yes—
215#2553C2212yes—
216#2546C2212yes—
217#2544C2211yescharacteristic
218#2543C2212yes—
219#2543C2212yes—
220#2540C2212yes—
221#2533C2212yes—
222#2532C2212yes—
223#2530C2212yes—
224#2529C2212yes—
225#2529C2212yes—
226#2526C2212yes—
227#2525C2212yes—
228#2525C2212yes—
229#2524C2212yes—
230#2519C2212yes—
231#2519C2212yes—
232#2517C2212yes—
233#2517C2212yes—
234#2516C2212yes—
235#2516C2212yes—
236#2515C2212yes—
237#2513C2212yes—
238#2512C2212yes—
239#2511C2212yes—
240#2508C2212yes—
241#2507C2212yes—
242#2507C2211yescharacteristic
243#2505C2212yes—
244#2505C2212yes—
245#2505C2212yes—
246#2504C2211yescharacteristic
247#2500C2212yes—
248#2500C2211yescharacteristic
249#2499C2211yescharacteristic
250#2498C2212yes—
251#2494C2211yescharacteristic
252#2491C2212yes—
253#2488C2212yes—
254#2485C2211yescharacteristic
255#2484C2212yes—
256#2481C2212yes—
257#2481C2212yes—
258#2479C2212yes—
259#2477C2212yes—
260#2477C2212yes—
261#2477C2212yes—
262#2476C2212yes—
263#2475C2212yes—
264#2474C2212yes—
265#2471C2212yes—
266#2470C2212yes—
267#2470C2212yes—
268#2469C2212yes—
269#2469C2212yes—
270#2469C2212yes—
271#2468C2212yes—
272#2468C2212yes—
273#2466C2212yes—
274#2466C2212yes—
275#2465C2212yes—
276#2465C2212yes—
277#2464C2212yes—
278#2463C2212yes—
279#2462C2212yes—
280#2462C2212yes—
281#2462C2212yes—
282#2461C2212yes—
283#2461C2212yes—
284#2461C2212yes—
285#2460C2212yes—
286#2459C2212yes—
287#2459C2212yes—
288#2459C2212yes—
289#2458C2212yes—
290#2458C2212yes—
291#2456C2212yes—
292#2456C2212yes—
293#2452C2211yescharacteristic
294#2452C2212yes—
295#2452C2212yes—
296#2452C2212yes—
297#2449C2212yes—
298#2448C2212yes—
299#2446C2212yes—
300#2445C2212yes—
301#2444C2212yes—
302#2444C2212yes—
303#2439C2212yes—
304#2439C2211yescharacteristic
305#2436C2211yescharacteristic
306#2434C2212yes—
307#2431C2211yescharacteristic
308#2429C2212yes—
309#2429C2212yes—
310#2426C2212yes—
311#2426C2212yes—
312#2426C2212yes—
313#2421C2212yes—
314#2421C2212yes—
315#2420C2212yes—
316#2420C2211yescharacteristic
317#2414C2211yescharacteristic
318#2409C2212yes—
319#2406C2212yes—
320#2398C2212yes—
321#2395C2212yes—
322#2392C2212yes—
323#2392C2212yes—
324#2388C2212yes—
325#2382C2212yes—
326#2379C2212yes—
327#2379C2212yes—
328#2374C2212yes—
329#2374C2212yes—
330#2374C2212yes—
331#2373C2212yes—
332#2373C2212yes—
333#2367C2212yes—
334#2365C2211yescharacteristic
335#2364C2212yes—
336#2364C2212yes—
337#2364C2212yes—
338#2362C2211yescharacteristic
339#2362C2211yescharacteristic
340#2362C2212yes—
341#2361C2212yes—
342#2361C2212yes—
343#2361C2212yes—
344#2360C2212yes—
345#2360C2212yes—
346#2360C2212yes—
347#2360C2212yes—
348#2359C2212yes—
349#2359C2212yes—
350#2359C2212yes—
351#2355C2212yes—
352#2354C2211yescharacteristic
353Q8×C4⋊C4C2211yescharacteristic
354#2346C2211yescharacteristic
355#2346C2211yescharacteristic
356#2335C2212yes—
357#2335C2212yes—
358#2334C2212yes—
359#2334C2212yes—
360#2334C2212yes—
361#2334C2212yes—
362#2333C2212yes—
363#2333C2212yes—
364#2332C2212yes—
365#2332C2212yes—
366#2332C2212yes—
367#2332C2212yes—
368#2332C2212yes—
369#2329C2212yes—
370#2329C2212yes—
371#2326C2212yes—
372#2324C2212yes—
373#2324C2212yes—
374#2322C2212yes—
375#2322C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×#125C2212yes—
378C4×#126C2212yes—
379C4×#126C2212yes—
380C4×#124C2211yescharacteristic
381C4×#124C2212yes—
382C4×#124C2212yes—
383C4×C22⋊Q8C2211yescharacteristic
384C4×C22⋊Q8C2211yescharacteristic
385C4×#121C2211yescharacteristic
386#2297C2211yescharacteristic
387#2296C2211yescharacteristic
388#2296C2211yescharacteristic
389#2296C2211yescharacteristic
390#2295C2211yescharacteristic
391C2×#391C2211yescharacteristic
392#2293C2212yes—
393#2276C2212yes—
394C42×D4C2211yescharacteristic
395C22×#41C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397#562—216no—
398#556—28no—
399#556—48no—
400#554—48no—
401#553—44no—
402#548—44no—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2311yescharacteristic
408C2×#127C2311yescharacteristic
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2312yes—
413C2×#126C2312yes—
414C2×#126C2312yes—
415C2×#126C2312yes—
416C2×#126C2312yes—
417C2×#126C2312yes—
418C2×#125C2312yes—
419C2×#125C2311yescharacteristic
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#124C2312yes—
423C2×#124C2312yes—
424C2×#124C2312yes—
425C2×#124C2311yescharacteristic
426C2×#124C2312yes—
427C2×#124C2311yescharacteristic
428C2×#124C2312yes—
429C2×#124C2312yes—
430C2×#124C2311yescharacteristic
431C2×#123C2312yes—
432C2×#123C2312yes—
433C2×#123C2312yes—
434C2×#123C2312yes—
435C2×#123C2312yes—
436C2×#123C2312yes—
437C2×#123C2312yes—
438C2×#123C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2311yescharacteristic
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2311yescharacteristic
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2311yescharacteristic
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2311yescharacteristic
460C2×#121C2312yes—
461C2×#121C2311yescharacteristic
462C2×#121C2311yescharacteristic
463C2×#121C2312yes—
464C2×#121C2311yescharacteristic
465C2×#121C2312yes—
466C2×#121C2312yes—
467C2×#121C2311yescharacteristic
468C2×#121C2312yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2312yes—
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×#117C2311yescharacteristic
495C2×#117C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2311yescharacteristic
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509#401C2312yes—
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#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
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#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#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#396C2312yes—
601#396C2312yes—
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#395C2312yes—
624#395C2312yes—
625#395C2312yes—
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#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
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#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2311yescharacteristic
703#391C2311yescharacteristic
704#391C2312yes—
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2311yescharacteristic
710#391C2311yescharacteristic
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2312yes—
718#391C2311yescharacteristic
719#391C2312yes—
720#391C2311yescharacteristic
721#391C2311yescharacteristic
722#390C2311yescharacteristic
723#390C2312yes—
724#390C2312yes—
725#390C2312yes—
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2312yes—
730#390C2312yes—
731#390C2312yes—
732#390C2312yes—
733#390C2312yes—
734#390C2311yescharacteristic
735#390C2312yes—
736#390C2311yescharacteristic
737#390C2311yescharacteristic
738#390C2311yescharacteristic
739#390C2311yescharacteristic
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2311yescharacteristic
744#390C2312yes—
745#390C2312yes—
746#390C2311yescharacteristic
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2312yes—
757#389C2312yes—
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2312yes—
761#389C2311yescharacteristic
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2311yescharacteristic
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2311yescharacteristic
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2311yescharacteristic
780#389C2311yescharacteristic
781#389C2311yescharacteristic
782#389C2311yescharacteristic
783#389C2311yescharacteristic
784#389C2311yescharacteristic
785#389C2312yes—
786#389C2311yescharacteristic
787#389C2311yescharacteristic
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2311yescharacteristic
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2311yescharacteristic
796#389C2312yes—
797#389C2312yes—
798#389C2311yescharacteristic
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#388C2312yes—
885#388C2312yes—
886#388C2312yes—
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#387C2312yes—
958#387C2312yes—
959#387C2312yes—
960#387C2312yes—
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#386C2312yes—
991#386C2312yes—
992#386C2312yes—
993#386C2312yes—
994#386C2312yes—
995#386C2312yes—
996#386C2312yes—
997#386C2312yes—
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#385C2312yes—
1028#385C2312yes—
1029#385C2312yes—
1030#385C2312yes—
1031#385C2312yes—
1032#385C2312yes—
1033#385C2312yes—
1034#385C2312yes—
1035#384C2311yescharacteristic
1036#384C2311yescharacteristic
1037#384C2312yes—
1038#384C2311yescharacteristic
1039#383C2312yes—
1040#383C2312yes—
1041#383C2312yes—
1042#382C2312yes—
1043#382C2311yescharacteristic
1044#382C2312yes—
1045#382C2312yes—
1046#382C2312yes—
1047#382C2312yes—
1048#382C2311yescharacteristic
1049#382C2312yes—
1050#382C2312yes—
1051#382C2311yescharacteristic
1052#382C2312yes—
1053#382C2311yescharacteristic
1054#382C2312yes—
1055#382C2312yes—
1056#381C2312yes—
1057#381C2312yes—
1058#381C2312yes—
1059#381C2312yes—
1060#381C2312yes—
1061#381C2312yes—
1062#381C2312yes—
1063#380C2311yescharacteristic
1064#380C2312yes—
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068#380C2312yes—
1069#380C2311yescharacteristic
1070#380C2311yescharacteristic
1071#380C2311yescharacteristic
1072#380C2311yescharacteristic
1073#380C2312yes—
1074#380C2311yescharacteristic
1075C4×C4⋊C4C2311yescharacteristic
1076C4×C4⋊C4C2312yes—
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2311yescharacteristic
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⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2311yescharacteristic
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2311yescharacteristic
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C4⋊C4C2311yescharacteristic
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1132C4×C22⋊C4C2311yescharacteristic
1133C4×C22⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2311yescharacteristic
1135C4×C22⋊C4C2312yes—
1136C4×C22⋊C4C2312yes—
1137C4×C22⋊C4C2312yes—
1138C4×C22⋊C4C2312yes—
1139C4×C22⋊C4C2311yescharacteristic
1140#376C2312yes—
1141#376C2312yes—
1142#376C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C43C2312yes—
1147C43C2311yescharacteristic
1148C2×#41—42no—
1149C2×#41—42no—
1150C2×#41—81no—
1151C22×Q8—42no—
1152C22×Q8—42no—
1153C22×Q8—81no—
1154C22×Q8C2412yes—
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2411yescharacteristic
1159C22×Q8C2412yes—
1160C22×Q8C2411yescharacteristic
1161C22×D4C2411yescharacteristic
1162C22×D4C2412yes—
1163C22×D4C2412yes—
1164C22×D4C2411yescharacteristic
1165C22×D4C2412yes—
1166C22×D4C2412yes—
1167C22×D4C2412yes—
1168C22×D4C2411yescharacteristic
1169C22×D4C2412yes—
1170C22×D4C2411yescharacteristic
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2412yes—
1174C22×D4C2412yes—
1175C22×D4C2412yes—
1176C22×D4C2412yes—
1177C23×C4C2411yescharacteristic
1178C23×C4C2411yescharacteristic
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2411yescharacteristic
1184C23×C4C2411yescharacteristic
1185C23×C4C2412yes—
1186C23×C4C2411yescharacteristic
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2412yes—
1193C23×C4C2411yescharacteristic
1194C4⋊Q8—24no—
1195C4⋊Q8—44no—
1196C4⋊Q8—44no—
1197C4⋊Q8—81no—
1198C4⋊Q8—82no—
1199#127—81no—
1200#126—28no—
1201#126—28no—
1202#126—28no—
1203#126—44no—
1204#126—44no—
1205#126—44no—
1206#126—44no—
1207#126—44no—
1208#126—44no—
1209#125—28no—
1210#125—42no—
1211#125—44no—
1212#125—44no—
1213#124—28no—
1214#124—28no—
1215#124—28no—
1216#124—42no—
1217#124—44no—
1218#124—42no—
1219#124—44no—
1220#124—44no—
1221#124—81no—
1222#123—28no—
1223#123—28no—
1224#123—28no—
1225#123—28no—
1226#123—44no—
1227#123—44no—
1228#123—44no—
1229#123—82no—
1230C22⋊Q8—24no—
1231C22⋊Q8—28no—
1232C22⋊Q8—28no—
1233C22⋊Q8—28no—
1234C22⋊Q8—28no—
1235C22⋊Q8—28no—
1236C22⋊Q8—44no—
1237C22⋊Q8—44no—
1238C22⋊Q8—44no—
1239C22⋊Q8—44no—
1240C22⋊Q8—44no—
1241C22⋊Q8—44no—
1242C22⋊Q8—44no—
1243C22⋊Q8—44no—
1244C22⋊Q8—42no—
1245C22⋊Q8#4118yescomplemented
1246#121—28no—
1247#121—28no—
1248#121—28no—
1249#121—28no—
1250#121—44no—
1251#121—42no—
1252#121—42no—
1253#121—42no—
1254#121—44no—
1255#121—44no—
1256#121—44no—
1257#121—42no—
1258#121—81no—
1259#121—82no—
1260C4×Q8—24no—
1261C4×Q8—28no—
1262C4×Q8—28no—
1263C4×Q8—44no—
1264C4×Q8—42no—
1265C4×Q8—44no—
1266C4×Q8—44no—
1267C4×Q8—81no—
1268C4×Q8—81no—
1269C4×D4—24no—
1270C4×D4—24no—
1271C4×D4—44no—
1272C4×D4—42no—
1273C4×D4—44no—
1274C4×D4—44no—
1275C4×D4—42no—
1276C4×D4—44no—
1277C4×D4—44no—
1278C4×D4—44no—
1279C4×D4—44no—
1280C4×D4—81no—
1281C4×D4—82no—
1282C4×D4—82no—
1283C4×D4—82no—
1284C4×D4—82no—
1285#117—24no—
1286#117—24no—
1287#117—42no—
1288#117—44no—
1289#117—44no—
1290#117—42no—
1291#117—81no—
1292#117—82no—
1293#117—81no—
1294#117—81no—
1295C2×C4⋊C4—42no—
1296C2×C4⋊C4—44no—
1297C2×C4⋊C4—44no—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2411yescharacteristic
1335C2×C4⋊C4C2411yescharacteristic
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2411yescharacteristic
1339C2×C4⋊C4C2411yescharacteristic
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2411yescharacteristic
1353C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1372C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1383C2×C4⋊C4C2411yescharacteristic
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2411yescharacteristic
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2411yescharacteristic
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2411yescharacteristic
1397C2×C22⋊C4C2411yescharacteristic
1398C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1432C2×C22⋊C4C2411yescharacteristic
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×C42—81no—
1472C2×C42—81no—
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2411yescharacteristic
1479C2×C42C2412yes—
1480C2×C42C2411yescharacteristic
1481C2×C42C2411yescharacteristic
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2411yescharacteristic
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2411yescharacteristic
1496C2×C42C2412yes—
1497C2×C42C2412yes—
1498C2×C42C2412yes—
1499C2×C42C2412yes—
1500C2×C42C2411yescharacteristic
1501C2×C42C2411yescharacteristic
1502C2×C42C2411yescharacteristic
1503C2×C42C2412yes—
1504C2×C42C2412yes—
1505C2×C42C2411yescharacteristic
1506C2×C42C2411yescharacteristic
1507C2×C42C2411yescharacteristic
1508C2×C42C2411yescharacteristic
1509C2×C42C2412yes—
1510C2×C42C2412yes—
1511C2×C42C2411yescharacteristic
1512C2×C42C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2411yescharacteristic
1527#95C2411yescharacteristic
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2411yescharacteristic
1536#95C2412yes—
1537#95C2412yes—
1538#95C2411yescharacteristic
1539#95C2411yescharacteristic
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2411yescharacteristic
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—
1615C24C2511yescharacteristic
1616C24C2512yes—
1617C24C2512yes—
1618C24C2512yes—
1619C24C2511yescharacteristic
1620#41—88no—
1621C2×Q8—24no—
1622C2×Q8—24no—
1623C2×Q8—24no—
1624C2×Q8—24no—
1625C2×Q8—24no—
1626C2×Q8—22no—
1627C2×Q8—22no—
1628C2×Q8—41no—
1629C2×Q8—42no—
1630C2×Q8—41no—
1631C2×Q8—41no—
1632C2×Q8—41no—
1633C2×Q8—42no—
1634C2×Q8—41no—
1635C2×Q8—42no—
1636C2×Q8—42no—
1637C2×Q8—41no—
1638C2×Q8—42no—
1639C2×Q8—42no—
1640C2×Q8—42no—
1641C2×Q8—88no—
1642C2×Q8C2×#4114yes—
1643C2×D4—22no—
1644C2×D4—24no—
1645C2×D4—24no—
1646C2×D4—24no—
1647C2×D4—24no—
1648C2×D4—24no—
1649C2×D4—24no—
1650C2×D4—22no—
1651C2×D4—22no—
1652C2×D4—22no—
1653C2×D4—22no—
1654C2×D4—42no—
1655C2×D4—41no—
1656C2×D4—42no—
1657C2×D4—42no—
1658C2×D4—41no—
1659C2×D4—42no—
1660C2×D4—42no—
1661C2×D4—42no—
1662C2×D4—42no—
1663C2×D4—41no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—42no—
1668C2×D4—41no—
1669C2×D4—42no—
1670C2×D4—42no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4—42no—
1676C2×D4—41no—
1677C2×D4—41no—
1678C2×D4—42no—
1679C2×D4—41no—
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—
1691C22×C4—22no—
1692C22×C4—22no—
1693C22×C4—22no—
1694C22×C4—22no—
1695C22×C4—22no—
1696C22×C4—22no—
1697C22×C4—24no—
1698C22×C4—24no—
1699C22×C4—24no—
1700C22×C4—24no—
1701C22×C4—24no—
1702C22×C4—22no—
1703C22×C4—41no—
1704C22×C4—41no—
1705C22×C4—41no—
1706C22×C4—41no—
1707C22×C4—41no—
1708C22×C4—41no—
1709C22×C4—41no—
1710C22×C4—41no—
1711C22×C4—41no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
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—41no—
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×C4C2×#4114yes—
1742C22×C4C2511yescharacteristic
1743C22×C4C2511yescharacteristic
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2511yescharacteristic
1750C22×C4C2511yescharacteristic
1751C22×C4C2511yescharacteristic
1752C22×C4C2512yes—
1753C22×C4C2512yes—
1754C22×C4C2511yescharacteristic
1755C22×C4C2512yes—
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2512yes—
1760C22×C4C2512yes—
1761C22×C4C2512yes—
1762C22×C4C2512yes—
1763C22×C4C2512yes—
1764C22×C4C2512yes—
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2512yes—
1768C22×C4C2511yescharacteristic
1769C22×C4C2511yescharacteristic
1770C22×C4C2512yes—
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C22×C4C2511yescharacteristic
1774C22×C4C2511yescharacteristic
1775C22×C4C2511yescharacteristic
1776C4⋊C4—22no—
1777C4⋊C4—22no—
1778C4⋊C4—22no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
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—22no—
1798C4⋊C4—22no—
1799C4⋊C4—24no—
1800C4⋊C4—24no—
1801C4⋊C4—24no—
1802C4⋊C4—22no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—41no—
1806C4⋊C4—41no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—41no—
1812C4⋊C4—41no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—41no—
1825C4⋊C4—42no—
1826C4⋊C4—41no—
1827C4⋊C4—41no—
1828C4⋊C4—41no—
1829C4⋊C4—42no—
1830C4⋊C4—41no—
1831C4⋊C4—41no—
1832C4⋊C4—42no—
1833C4⋊C4—41no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
1840C4⋊C4—41no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—41no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4C2×#4114yes—
1862C4⋊C4C2×#4118yes—
1863C4⋊C4H(5,𝔽2)14yes—
1864C22⋊C4—24no—
1865C22⋊C4—22no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—22no—
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—22no—
1881C22⋊C4—22no—
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—42no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
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—41no—
1914C22⋊C4—41no—
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⋊C4C2×#4118yes—
1949C42—24no—
1950C42—24no—
1951C42—22no—
1952C42—24no—
1953C42—24no—
1954C42—24no—
1955C42—24no—
1956C42—24no—
1957C42—22no—
1958C42—24no—
1959C42—22no—
1960C42—22no—
1961C42—41no—
1962C42—41no—
1963C42—41no—
1964C42—41no—
1965C42—41no—
1966C42—41no—
1967C42—41no—
1968C42—42no—
1969C42—42no—
1970C42—41no—
1971C42—41no—
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—
1985C42—42no—
1986C42—42no—
1987C42—42no—
1988C42—42no—
1989C23—21no—
1990C23—21no—
1991C23—21no—
1992C23—21no—
1993C23—21no—
1994C23—21no—
1995C23—21no—
1996C23—22no—
1997C23—22no—
1998C23—22no—
1999C23—22no—
2000C23—22no—
2001C23—22no—
2002C23—21no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—21no—
2008C23—22no—
2009C23—21no—
2010C23—22no—
2011C23—21no—
2012C23—22no—
2013C23—22no—
2014C23—22no—
2015C23—22no—
2016C23—21no—
2017C23—22no—
2018C23—22no—
2019C23—22no—
2020C23—22no—
2021C23—22no—
2022C23—21no—
2023C23C22×#4112yes—
2024C23C2611yescharacteristic
2025Q8—44no—
2026Q8—48no—
2027Q8—44no—
2028Q8—84no—
2029Q8—84no—
2030Q8—82no—
2031Q8—84no—
2032D4—44no—
2033D4—48no—
2034D4—84no—
2035D4—84no—
2036D4—84no—
2037D4—82no—
2038D4—82no—
2039D4—82no—
2040D4—84no—
2041D4—84no—
2042D4—84no—
2043D4—84no—
2044D4—84no—
2045D4—84no—
2046D4—162no—
2047D4—162no—
2048C2×C4—21no—
2049C2×C4—22no—
2050C2×C4—21no—
2051C2×C4—21no—
2052C2×C4—21no—
2053C2×C4—22no—
2054C2×C4—21no—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—21no—
2064C2×C4—21no—
2065C2×C4—21no—
2066C2×C4—22no—
2067C2×C4—21no—
2068C2×C4—22no—
2069C2×C4—21no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—21no—
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—21no—
2089C2×C4—21no—
2090C2×C4—21no—
2091C2×C4—22no—
2092C2×C4—22no—
2093C2×C4—21no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—21no—
2109C2×C4—22no—
2110C2×C4—21no—
2111C2×C4—21no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—22no—
2116C2×C4—21no—
2117C2×C4—22no—
2118C2×C4—22no—
2119C2×C4—22no—
2120C2×C4—22no—
2121C2×C4—22no—
2122C2×C4—21no—
2123C2×C4—22no—
2124C2×C4—21no—
2125C2×C4—22no—
2126C2×C4—21no—
2127C2×C4—22no—
2128C2×C4—22no—
2129C2×C4—22no—
2130C2×C4—22no—
2131C2×C4—21no—
2132C2×C4—22no—
2133C2×C4—21no—
2134C2×C4—21no—
2135C2×C4—22no—
2136C2×C4—22no—
2137C2×C4—22no—
2138C2×C4—22no—
2139C2×C4—22no—
2140C2×C4—21no—
2141C2×C4—44no—
2142C2×C4—44no—
2143C2×C4—44no—
2144C2×C4—44no—
2145C2×C4—44no—
2146C2×C4—84no—
2147C2×C4—84no—
2148C2×C4—84no—
2149C2×C4—82no—
2150C2×C4—84no—
2151C2×C4—84no—
2152C2×C4—84no—
2153C2×C4—84no—
2154C2×C4—162no—
2155C2×C4—162no—
2156C2×C4—162no—
2157C2×C4—162no—
2158C2×C4C22×#4114yes—
2159C2×C4C22×#4112yes—
2160C2×C4C22×#4112yes—
2161C2×C4C22×#4114yes—
2162C2×C4C2×H(5,𝔽2)12yes—
2163C2×C4C2×H(5,𝔽2)12yes—
2164C2×C4C2×H(5,𝔽2)12yes—
2165C2×C4#58512yes—
2166C2×C4#58512yes—
2167C22—22no—
2168C22—22no—
2169C22—22no—
2170C22—41no—
2171C22—41no—
2172C22—41no—
2173C22—41no—
2174C22—41no—
2175C22—42no—
2176C22—42no—
2177C22—42no—
2178C22—42no—
2179C22—42no—
2180C22—42no—
2181C22—41no—
2182C22—42no—
2183C22—42no—
2184C22—41no—
2185C22—42no—
2186C22—41no—
2187C22—42no—
2188C22—42no—
2189C22—42no—
2190C22—41no—
2191C22—42no—
2192C22—42no—
2193C22—42no—
2194C22—41no—
2195C22—42no—
2196C22—42no—
2197C22—42no—
2198C22—41no—
2199C22—42no—
2200C22—42no—
2201C22—42no—
2202C22C23×#4111yescharacteristic
2203C22C22×H(5,𝔽2)11yescharacteristic
2204C22C2×#58511yescharacteristic
2205C22C2×#58511yescharacteristic
2206C22H(7,𝔽2)11yescharacteristic
2207C222−1+611yescharacteristic
2208C222−1+611yescharacteristic
2209C4—24no—
2210C4—22no—
2211C4—22no—
2212C4—22no—
2213C4—24no—
2214C4—22no—
2215C4—22no—
2216C4—22no—
2217C4—22no—
2218C4—42no—
2219C4—42no—
2220C4—41no—
2221C4—41no—
2222C4—42no—
2223C4—42no—
2224C4—42no—
2225C4—42no—
2226C4—42no—
2227C4—42no—
2228C4—42no—
2229C4—41no—
2230C4—42no—
2231C4—42no—
2232C4—41no—
2233C4—41no—
2234C4—42no—
2235C4—42no—
2236C4—42no—
2237C4—42no—
2238C4—42no—
2239C4—42no—
2240C4—41no—
2241C4—42no—
2242C4—42no—
2243C2—42no—
2244C2—82no—
2245C2—82no—
2246C2—82no—
2247C2—81no—
2248C2#6280011yescharacteristic
2249C2#6284711yescharacteristic
2250C2#6286811yescharacteristic
2251C2#6289611yescharacteristic
2252C2#6293911yescharacteristic
2253C2#6300711yescharacteristic
2254C2#6304811yescharacteristic
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. #60046C2semidirect
2. #59792C2semidirect
3. #52280C2semidirect
4. #51500C2semidirect
5. #51284C2semidirect
6. #50358C2semidirect
7. #49382C2semidirect
8. #48815C2semidirect
9. #48229C2semidirect
10. #47636C2semidirect
11. #47303C2semidirect
12. #45940C2semidirect
13. #45786C2semidirect
14. #44405C2semidirect
15. #44079C2semidirect
16. #43549C2semidirect
17. #43487C2semidirect
18. #43116C2semidirect
19. #42064C2semidirect
20. #41693C2semidirect
21. #41503C2semidirect
22. #41270C2semidirect
23. #40440C2semidirect
24. #39828C2semidirect
25. #39640C2semidirect
26. #39249C2semidirect
27. #38892C2semidirect
28. #38821C2semidirect
29. #38788C2semidirect
30. #38761C2semidirect
31. #38484C2semidirect
32. #37315C2semidirect
33. #37252C2semidirect
34. #36396C2semidirect
35. #35909C2semidirect
36. #35499C2semidirect
37. #35037C2semidirect
38. #34527C2semidirect
39. #34324C2semidirect
1245. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#600462
#597922
#522802
#515002
#512842
#503582
#493822
#488152
#482292
#476362
#473032
#459402
#457862
#444052
#440792
#435492
#434872
#431162
#420642
#416932
#415032
#412702
#404402
#398282
#396402
#392492
#388922
#388212
#387882
#387612
#384842
#373152
#372522
#363962
#359092
#354992
#350372
#345272
#343242