Finite Group Databasebeta

← #8075369

Subgroups — #8075369

Order 512.

4663 conjugacy classes of subgroups.

The subgroup lattice has 2107 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#60035C212yesmaximal, complemented
2#59991C212yesmaximal, complemented
3#59918C212yesmaximal, complemented
4#59879C211yesmaximal, characteristic, complemented
5#59878C211yesmaximal, characteristic, complemented
6#59835C211yesmaximal, characteristic, complemented
7#51591C212yesmaximal, complemented
8#51573C212yesmaximal, complemented
9#51558C212yesmaximal, complemented
10#51382C212yesmaximal, complemented
11#51019C212yesmaximal, complemented
12#49429C212yesmaximal, complemented
13#49090C212yesmaximal, complemented
14#48622C212yesmaximal, complemented
15#48228C212yesmaximal, complemented
16#47642C212yesmaximal, complemented
17#47605C212yesmaximal, complemented
18#47588C212yesmaximal, complemented
19#44875C212yesmaximal, complemented
20#44843C212yesmaximal, complemented
21#44369C212yesmaximal, complemented
22#44306C212yesmaximal, complemented
23#44277C212yesmaximal, complemented
24#44181C212yesmaximal, complemented
25#44116C212yesmaximal, complemented
26#44007C212yesmaximal, complemented
27#43899C212yesmaximal, complemented
28#39625C211yesmaximal, characteristic, complemented
29#39497C211yesmaximal, characteristic, complemented
30#39488C211yesmaximal, characteristic, complemented
31#39245C212yesmaximal, complemented
32#38558C212yesmaximal, complemented
33#38425C212yesmaximal, complemented
34#34523C211yesmaximal, characteristic, complemented
35#34465C212yesmaximal, complemented
36C2×#563C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#552C2212yes—
39C2×#547C2211yescharacteristic
40C2×#547C2212yes—
41C2×#542C2212yes—
42#2868C2211yescharacteristic
43#2854C2212yes—
44#2839C2212yes—
45#2810C2211yescharacteristic
46#2809C2211yescharacteristic
47#2808C2211yescharacteristic
48#2807C2212yes—
49#2806C2211yescharacteristic
50#2806C2212yes—
51#2803C2212yes—
52#2798C2212yes—
53#2798C2212yes—
54#2795C2212yes—
55#2792C2212yes—
56#2792C2212yes—
57#2792C2212yes—
58#2792C2212yes—
59#2790C2212yes—
60#2790C2212yes—
61#2790C2212yes—
62#2790C2212yes—
63#2788C2212yes—
64#2781C2212yes—
65#2777C2212yes—
66#2775C2212yes—
67#2775C2212yes—
68#2774C2212yes—
69#2773C2212yes—
70#2772C2212yes—
71#2772C2212yes—
72#2767C2212yes—
73#2764C2212yes—
74#2763C2212yes—
75#2761C2212yes—
76#2758C2212yes—
77#2758C2212yes—
78#2757C2212yes—
79#2755C2212yes—
80#2742C2212yes—
81#2738C2212yes—
82#2734C2212yes—
83#2734C2212yes—
84#2733C2211yescharacteristic
85#2732C2212yes—
86#2732C2211yescharacteristic
87#2731C2212yes—
88#2730C2212yes—
89#2729C2212yes—
90#2729C2212yes—
91#2729C2212yes—
92#2729C2212yes—
93#2727C2212yes—
94#2727C2211yescharacteristic
95#2727C2211yescharacteristic
96#2726C2212yes—
97#2726C2211yescharacteristic
98#2725C2212yes—
99#2725C2212yes—
100#2724C2212yes—
101#2724C2212yes—
102#2724C2211yescharacteristic
103#2721C2212yes—
104#2720C2212yes—
105#2720C2212yes—
106#2718C2212yes—
107#2718C2212yes—
108#2718C2212yes—
109#2718C2212yes—
110#2718C2212yes—
111#2718C2212yes—
112#2717C2212yes—
113#2717C2212yes—
114#2716C2212yes—
115#2716C2212yes—
116#2710C2212yes—
117#2707C2212yes—
118#2705C2212yes—
119#2704C2212yes—
120#2702C2212yes—
121#2702C2212yes—
122#2702C2212yes—
123#2701C2212yes—
124#2701C2212yes—
125#2698C2212yes—
126#2698C2212yes—
127#2698C2212yes—
128#2692C2212yes—
129#2689C2212yes—
130#2687C2212yes—
131#2686C2212yes—
132#2683C2211yescharacteristic
133#2682C2212yes—
134#2682C2211yescharacteristic
135#2681C2212yes—
136#2680C2212yes—
137#2680C2212yes—
138#2674C2212yes—
139#2674C2212yes—
140#2674C2212yes—
141#2663C2212yes—
142#2663C2212yes—
143#2660C2212yes—
144#2654C2212yes—
145#2654C2212yes—
146#2651C2212yes—
147#2632C2212yes—
148#2629C2212yes—
149#2620C2212yes—
150#2612C2212yes—
151#2611C2212yes—
152#2611C2212yes—
153#2610C2212yes—
154#2609C2212yes—
155#2606C2212yes—
156#2605C2212yes—
157#2605C2212yes—
158#2604C2212yes—
159#2604C2212yes—
160#2602C2212yes—
161#2602C2212yes—
162#2602C2212yes—
163#2601C2212yes—
164#2596C2212yes—
165#2593C2212yes—
166#2589C2212yes—
167#2587C2212yes—
168#2586C2212yes—
169#2586C2212yes—
170#2585C2212yes—
171#2583C2212yes—
172#2583C2212yes—
173#2583C2212yes—
174#2582C2212yes—
175#2580C2212yes—
176#2579C2212yes—
177#2577C2212yes—
178#2575C2212yes—
179#2575C2212yes—
180#2574C2212yes—
181#2573C2212yes—
182#2573C2212yes—
183#2571C2211yescharacteristic
184#2568C2211yescharacteristic
185#2567C2212yes—
186#2566C2212yes—
187#2560C2212yes—
188#2560C2212yes—
189#2560C2212yes—
190#2560C2212yes—
191#2558C2212yes—
192#2558C2212yes—
193#2558C2212yes—
194#2558C2212yes—
195#2556C2212yes—
196#2556C2212yes—
197#2556C2212yes—
198#2556C2212yes—
199#2555C2212yes—
200#2554C2212yes—
201#2554C2212yes—
202#2553C2212yes—
203#2553C2212yes—
204#2553C2212yes—
205#2553C2212yes—
206#2552C2211yescharacteristic
207#2552C2211yescharacteristic
208#2551C2212yes—
209#2551C2212yes—
210#2551C2211yescharacteristic
211#2550C2212yes—
212#2550C2212yes—
213#2550C2212yes—
214#2549C2212yes—
215#2549C2212yes—
216#2542C2211yescharacteristic
217#2532C2212yes—
218#2532C2212yes—
219#2529C2212yes—
220#2526C2212yes—
221#2525C2212yes—
222#2524C2212yes—
223#2522C2212yes—
224#2521C2212yes—
225#2521C2212yes—
226#2518C2212yes—
227#2518C2212yes—
228#2518C2212yes—
229#2516C2212yes—
230#2515C2212yes—
231#2515C2212yes—
232#2512C2212yes—
233#2508C2212yes—
234#2507C2212yes—
235#2507C2212yes—
236#2507C2212yes—
237#2507C2212yes—
238#2507C2212yes—
239#2507C2212yes—
240#2502C2212yes—
241#2502C2212yes—
242#2500C2212yes—
243#2496C2212yes—
244#2479C2212yes—
245#2478C2212yes—
246#2478C2212yes—
247#2476C2212yes—
248#2475C2212yes—
249#2475C2212yes—
250#2475C2212yes—
251#2474C2212yes—
252#2474C2212yes—
253#2470C2212yes—
254#2469C2212yes—
255#2468C2212yes—
256#2468C2212yes—
257#2467C2212yes—
258#2467C2212yes—
259#2466C2212yes—
260#2465C2212yes—
261#2465C2212yes—
262#2465C2212yes—
263#2463C2212yes—
264#2461C2212yes—
265#2461C2212yes—
266#2458C2212yes—
267#2455C2212yes—
268#2452C2212yes—
269#2451C2212yes—
270#2451C2212yes—
271#2451C2212yes—
272#2451C2212yes—
273#2449C2212yes—
274#2448C2212yes—
275#2447C2212yes—
276#2446C2212yes—
277#2443C2212yes—
278#2443C2212yes—
279#2440C2212yes—
280#2440C2212yes—
281#2440C2212yes—
282#2440C2212yes—
283#2439C2212yes—
284#2432C2212yes—
285#2432C2212yes—
286#2432C2212yes—
287#2432C2212yes—
288#2430C2212yes—
289#2430C2212yes—
290#2429C2212yes—
291#2429C2212yes—
292#2427C2212yes—
293#2426C2212yes—
294#2423C2212yes—
295#2422C2212yes—
296#2422C2212yes—
297#2421C2212yes—
298#2419C2212yes—
299#2419C2212yes—
300#2415C2212yes—
301#2413C2212yes—
302#2413C2212yes—
303#2406C2212yes—
304#2406C2212yes—
305#2406C2212yes—
306#2399C2212yes—
307#2395C2212yes—
308#2388C2212yes—
309#2383C2212yes—
310#2383C2212yes—
311#2382C2212yes—
312#2382C2211yescharacteristic
313#2382C2211yescharacteristic
314#2379C2211yescharacteristic
315#2374C2212yes—
316#2374C2212yes—
317#2373C2212yes—
318#2373C2212yes—
319#2373C2212yes—
320#2373C2212yes—
321#2372C2212yes—
322#2372C2212yes—
323#2370C2212yes—
324#2369C2212yes—
325#2368C2212yes—
326#2368C2212yes—
327#2367C2212yes—
328#2363C2212yes—
329#2360C2212yes—
330#2360C2212yes—
331#2360C2212yes—
332#2360C2212yes—
333#2360C2212yes—
334#2360C2212yes—
335#2359C2212yes—
336#2359C2212yes—
337#2355C2211yescharacteristic
338#2354C2211yescharacteristic
339Q8×C4⋊C4C2212yes—
340Q8×C4⋊C4C2211yescharacteristic
341D4×C4⋊C4C2211yescharacteristic
342D4×C4⋊C4C2212yes—
343#2346C2212yes—
344#2344C2212yes—
345#2343C2212yes—
346#2343C2212yes—
347#2337C2212yes—
348#2334C2212yes—
349#2334C2212yes—
350#2334C2212yes—
351#2334C2212yes—
352#2334C2212yes—
353#2332C2212yes—
354#2332C2212yes—
355#2330C2212yes—
356#2330C2212yes—
357#2330C2212yes—
358#2327C2212yes—
359#2323C2212yes—
360#2322C2212yes—
361#2322C2212yes—
362#2322C2212yes—
363#2320C2212yes—
364#2317C2212yes—
365#2317C2212yes—
366#2317C2212yes—
367C4×#125C2211yescharacteristic
368C4×#125C2211yescharacteristic
369C4×#124C2211yescharacteristic
370C4×C22⋊Q8C2212yes—
371C4×C22⋊Q8C2212yes—
372C4×C22⋊Q8C2212yes—
373#2297C2212yes—
374#2295C2211yescharacteristic
375#2293C2211yescharacteristic
376#2293C2211yescharacteristic
377C2×#389C2212yes—
378#2290C2212yes—
379C22×#41C2312yes—
380C22×#41C2312yes—
381#563—28no—
382#556—44no—
383#552—216no—
384#547—44no—
385#547—48no—
386#542—48no—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2311yescharacteristic
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×#126C2312yes—
397C2×#126C2312yes—
398C2×#126C2312yes—
399C2×#126C2312yes—
400C2×#126C2312yes—
401C2×#126C2312yes—
402C2×#126C2312yes—
403C2×#126C2312yes—
404C2×#126C2312yes—
405C2×#126C2312yes—
406C2×#125C2311yescharacteristic
407C2×#125C2312yes—
408C2×#125C2312yes—
409C2×#125C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2311yescharacteristic
413C2×#124C2312yes—
414C2×#124C2311yescharacteristic
415C2×#124C2312yes—
416C2×#124C2312yes—
417C2×#124C2312yes—
418C2×#124C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2312yes—
422C2×#123C2312yes—
423C2×#123C2312yes—
424C2×#123C2312yes—
425C2×#123C2312yes—
426C2×#123C2312yes—
427C2×#123C2312yes—
428C2×#123C2312yes—
429C2×#123C2312yes—
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C42C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#400C2312yes—
494#400C2312yes—
495#400C2312yes—
496#400C2312yes—
497#400C2312yes—
498#400C2312yes—
499#400C2312yes—
500#400C2312yes—
501#400C2312yes—
502#400C2312yes—
503#400C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2312yes—
512#399C2312yes—
513#399C2312yes—
514#399C2312yes—
515#398C2312yes—
516#398C2312yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2312yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2312yes—
533#398C2312yes—
534#398C2312yes—
535#398C2312yes—
536#398C2312yes—
537#398C2312yes—
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#397C2312yes—
558#397C2312yes—
559#397C2312yes—
560#397C2312yes—
561#397C2312yes—
562#397C2312yes—
563#397C2312yes—
564#397C2312yes—
565#397C2312yes—
566#397C2312yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2312yes—
573#397C2312yes—
574#397C2312yes—
575#397C2312yes—
576#397C2312yes—
577#397C2312yes—
578#397C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2312yes—
620#395C2312yes—
621#395C2312yes—
622#395C2312yes—
623#395C2312yes—
624#394C2312yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#394C2312yes—
629#394C2312yes—
630#394C2312yes—
631#394C2312yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2312yes—
646#394C2312yes—
647#394C2312yes—
648#394C2312yes—
649#394C2312yes—
650#393C2312yes—
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#392C2312yes—
660#392C2312yes—
661#392C2312yes—
662#392C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2311yescharacteristic
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2312yes—
679#391C2312yes—
680#391C2312yes—
681#391C2312yes—
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2312yes—
686#391C2311yescharacteristic
687#391C2311yescharacteristic
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2312yes—
695#390C2311yescharacteristic
696#390C2312yes—
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2311yescharacteristic
703#390C2312yes—
704#390C2311yescharacteristic
705#390C2311yescharacteristic
706#390C2311yescharacteristic
707#389C2311yescharacteristic
708#389C2311yescharacteristic
709#389C2311yescharacteristic
710#389C2311yescharacteristic
711#389C2312yes—
712#389C2312yes—
713#389C2312yes—
714#389C2312yes—
715#389C2312yes—
716#389C2312yes—
717#389C2312yes—
718#389C2312yes—
719#389C2312yes—
720#389C2312yes—
721#389C2312yes—
722#389C2312yes—
723#389C2312yes—
724#389C2312yes—
725#389C2312yes—
726#389C2312yes—
727#389C2312yes—
728#389C2312yes—
729#389C2311yescharacteristic
730#389C2312yes—
731#389C2312yes—
732#389C2312yes—
733#389C2312yes—
734#389C2312yes—
735#389C2312yes—
736#389C2312yes—
737#389C2312yes—
738#389C2312yes—
739#389C2312yes—
740#389C2312yes—
741#389C2312yes—
742#389C2312yes—
743#389C2312yes—
744#389C2312yes—
745#389C2312yes—
746#389C2312yes—
747#389C2312yes—
748#389C2312yes—
749#389C2312yes—
750#389C2312yes—
751#389C2311yescharacteristic
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2312yes—
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2311yescharacteristic
772#389C2312yes—
773#389C2312yes—
774#389C2311yescharacteristic
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2311yescharacteristic
780#389C2311yescharacteristic
781#388C2312yes—
782#388C2312yes—
783#388C2312yes—
784#388C2312yes—
785#388C2312yes—
786#388C2312yes—
787#388C2312yes—
788#388C2312yes—
789#388C2312yes—
790#388C2312yes—
791#388C2312yes—
792#388C2312yes—
793#388C2312yes—
794#388C2312yes—
795#388C2312yes—
796#388C2312yes—
797#388C2312yes—
798#388C2312yes—
799#388C2312yes—
800#388C2312yes—
801#388C2312yes—
802#388C2312yes—
803#388C2312yes—
804#388C2312yes—
805#388C2312yes—
806#388C2312yes—
807#388C2312yes—
808#388C2312yes—
809#388C2312yes—
810#388C2312yes—
811#388C2312yes—
812#388C2312yes—
813#388C2312yes—
814#388C2312yes—
815#388C2312yes—
816#388C2312yes—
817#388C2312yes—
818#388C2312yes—
819#388C2312yes—
820#388C2312yes—
821#388C2312yes—
822#388C2312yes—
823#388C2312yes—
824#388C2312yes—
825#388C2312yes—
826#388C2312yes—
827#388C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
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#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
933#386C2312yes—
934#386C2312yes—
935#386C2312yes—
936#386C2312yes—
937#386C2312yes—
938#386C2312yes—
939#386C2312yes—
940#386C2312yes—
941#386C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2312yes—
955#385C2312yes—
956#385C2312yes—
957#385C2312yes—
958#385C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
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#384C2312yes—
992#384C2312yes—
993#384C2311yescharacteristic
994#384C2312yes—
995#384C2312yes—
996#384C2312yes—
997#384C2312yes—
998#384C2312yes—
999#384C2312yes—
1000#384C2311yescharacteristic
1001#384C2312yes—
1002#384C2311yescharacteristic
1003#384C2311yescharacteristic
1004#383C2312yes—
1005#383C2312yes—
1006#383C2312yes—
1007#383C2312yes—
1008#383C2312yes—
1009#382C2311yescharacteristic
1010#382C2311yescharacteristic
1011#382C2312yes—
1012#382C2312yes—
1013#382C2312yes—
1014#382C2311yescharacteristic
1015#382C2312yes—
1016#382C2312yes—
1017#382C2312yes—
1018#382C2312yes—
1019#382C2312yes—
1020#382C2312yes—
1021#381C2312yes—
1022#381C2312yes—
1023#381C2312yes—
1024#381C2312yes—
1025#381C2312yes—
1026#381C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036C4×C4⋊C4C2311yescharacteristic
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2311yescharacteristic
1043C4×C4⋊C4C2311yescharacteristic
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2311yescharacteristic
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2311yescharacteristic
1048C4×C4⋊C4C2311yescharacteristic
1049C4×C4⋊C4C2311yescharacteristic
1050C4×C4⋊C4C2312yes—
1051C4×C4⋊C4C2312yes—
1052C4×C4⋊C4C2312yes—
1053C4×C4⋊C4C2312yes—
1054C4×C4⋊C4C2312yes—
1055C4×C4⋊C4C2312yes—
1056C4×C4⋊C4C2312yes—
1057C4×C4⋊C4C2312yes—
1058C4×C4⋊C4C2312yes—
1059C4×C4⋊C4C2312yes—
1060C4×C4⋊C4C2312yes—
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2312yes—
1069C4×C4⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2312yes—
1074C4×C22⋊C4C2312yes—
1075C4×C22⋊C4C2312yes—
1076C4×C22⋊C4C2312yes—
1077C4×C22⋊C4C2312yes—
1078C4×C22⋊C4C2312yes—
1079C4×C22⋊C4C2312yes—
1080C4×C22⋊C4C2312yes—
1081C4×C22⋊C4C2312yes—
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2312yes—
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2312yes—
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096#376C2312yes—
1097#376C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100#376C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C43C2311yescharacteristic
1104C2×#41—28no—
1105C2×#41—44no—
1106C2×#41—82no—
1107C2×#41—82no—
1108C2×#41—82no—
1109C2×#41—82no—
1110C22×Q8C2412yes—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2411yescharacteristic
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2412yes—
1117C22×Q8C2411yescharacteristic
1118C22×D4C2412yes—
1119C22×D4C2411yescharacteristic
1120C22×D4C2411yescharacteristic
1121C22×D4C2412yes—
1122C22×D4C2412yes—
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2411yescharacteristic
1127C23×C4C2412yes—
1128C23×C4C2412yes—
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2412yes—
1140C4⋊Q8—28no—
1141C4⋊Q8—42no—
1142C4⋊Q8—42no—
1143C4⋊Q8—44no—
1144C4⋊Q8—44no—
1145C4⋊Q8—82no—
1146C4⋊Q8—82no—
1147C4⋊Q8—82no—
1148C4⋊Q8—82no—
1149#126—28no—
1150#126—28no—
1151#126—28no—
1152#126—28no—
1153#126—28no—
1154#126—44no—
1155#126—44no—
1156#126—44no—
1157#126—44no—
1158#126—82no—
1159#125—28no—
1160#125—28no—
1161#125—24no—
1162#125—82no—
1163#125—82no—
1164#125—82no—
1165#125#4118yescomplemented
1166#124—28no—
1167#124—28no—
1168#124—24no—
1169#124—44no—
1170#124—44no—
1171#124—82no—
1172#123—28no—
1173#123—28no—
1174#123—28no—
1175#123—28no—
1176#123—44no—
1177#123—44no—
1178#123—44no—
1179#123—44no—
1180#123—44no—
1181#123—44no—
1182#123—82no—
1183#123—82no—
1184#123—82no—
1185C22⋊Q8—28no—
1186C22⋊Q8—28no—
1187C22⋊Q8—28no—
1188C22⋊Q8—28no—
1189C22⋊Q8—28no—
1190C22⋊Q8—28no—
1191C22⋊Q8—44no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—82no—
1199C22⋊Q8—82no—
1200C22⋊Q8—82no—
1201#121—28no—
1202#121—44no—
1203#121—44no—
1204#121—82no—
1205C4×Q8—24no—
1206C4×Q8—28no—
1207C4×Q8—42no—
1208C4×Q8—44no—
1209C4×Q8—44no—
1210C4×Q8—82no—
1211C4×Q8—82no—
1212C4×Q8—82no—
1213C4×D4—24no—
1214C4×D4—28no—
1215C4×D4—24no—
1216C4×D4—42no—
1217C4×D4—44no—
1218C4×D4—44no—
1219C4×D4—44no—
1220C4×D4—82no—
1221C4×D4—82no—
1222#117—28no—
1223#117—28no—
1224#117—28no—
1225#117—44no—
1226#117—44no—
1227#117—82no—
1228#117—82no—
1229C2×C4⋊C4—28no—
1230C2×C4⋊C4—44no—
1231C2×C4⋊C4—44no—
1232C2×C4⋊C4—44no—
1233C2×C4⋊C4—82no—
1234C2×C4⋊C4—82no—
1235C2×C4⋊C4C2412yes—
1236C2×C4⋊C4C2412yes—
1237C2×C4⋊C4C2412yes—
1238C2×C4⋊C4C2412yes—
1239C2×C4⋊C4C2412yes—
1240C2×C4⋊C4C2412yes—
1241C2×C4⋊C4C2412yes—
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2412yes—
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2411yescharacteristic
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2412yes—
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2411yescharacteristic
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2411yescharacteristic
1281C2×C4⋊C4C2411yescharacteristic
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2411yescharacteristic
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2412yes—
1347C2×C22⋊C4C2412yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2412yes—
1351C2×C22⋊C4C2412yes—
1352C2×C22⋊C4C2412yes—
1353C2×C22⋊C4C2412yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2412yes—
1356C2×C22⋊C4C2412yes—
1357C2×C22⋊C4C2412yes—
1358C2×C22⋊C4C2412yes—
1359C2×C22⋊C4C2412yes—
1360C2×C22⋊C4C2412yes—
1361C2×C22⋊C4C2412yes—
1362C2×C22⋊C4C2412yes—
1363C2×C22⋊C4C2412yes—
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2412yes—
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2412yes—
1373C2×C22⋊C4C2412yes—
1374C2×C22⋊C4C2412yes—
1375C2×C22⋊C4C2412yes—
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2412yes—
1386C2×C22⋊C4C2412yes—
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2412yes—
1392C2×C22⋊C4C2412yes—
1393C2×C22⋊C4C2412yes—
1394C2×C22⋊C4C2412yes—
1395C2×C22⋊C4C2412yes—
1396C2×C22⋊C4C2412yes—
1397C2×C22⋊C4C2412yes—
1398C2×C22⋊C4C2412yes—
1399C2×C22⋊C4C2412yes—
1400C2×C22⋊C4C2412yes—
1401C2×C22⋊C4C2412yes—
1402C2×C22⋊C4C2412yes—
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C42—82no—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2411yescharacteristic
1414C2×C42C2412yes—
1415C2×C42C2411yescharacteristic
1416C2×C42C2412yes—
1417C2×C42C2411yescharacteristic
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2412yes—
1424C2×C42C2412yes—
1425C2×C42C2412yes—
1426C2×C42C2412yes—
1427C2×C42C2412yes—
1428C2×C42C2412yes—
1429C2×C42C2412yes—
1430C2×C42C2412yes—
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2412yes—
1441C2×C42C2411yescharacteristic
1442C2×C42C2411yescharacteristic
1443C2×C42C2411yescharacteristic
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2412yes—
1447C2×C42C2411yescharacteristic
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2412yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2412yes—
1469#95C2412yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2412yes—
1476#95C2412yes—
1477#95C2412yes—
1478#95C2412yes—
1479#95C2412yes—
1480#95C2412yes—
1481#95C2412yes—
1482#95C2412yes—
1483#95C2412yes—
1484#95C2412yes—
1485#95C2412yes—
1486#95C2412yes—
1487#95C2412yes—
1488#95C2412yes—
1489#95C2412yes—
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
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#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549C24C2512yes—
1550C24C2512yes—
1551C24C2512yes—
1552#41—816no—
1553#41—816no—
1554C2×Q8—24no—
1555C2×Q8—24no—
1556C2×Q8—22no—
1557C2×Q8—24no—
1558C2×Q8—24no—
1559C2×Q8—24no—
1560C2×Q8—42no—
1561C2×Q8—41no—
1562C2×Q8—41no—
1563C2×Q8—41no—
1564C2×Q8—42no—
1565C2×Q8—42no—
1566C2×Q8—42no—
1567C2×Q8—42no—
1568C2×Q8—42no—
1569C2×Q8—42no—
1570C2×Q8—42no—
1571C2×Q8—42no—
1572C2×Q8—41no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—42no—
1576C2×Q8—42no—
1577C2×Q82−1+414yes—
1578C2×D4—24no—
1579C2×D4—24no—
1580C2×D4—24no—
1581C2×D4—24no—
1582C2×D4—24no—
1583C2×D4—22no—
1584C2×D4—22no—
1585C2×D4—24no—
1586C2×D4—41no—
1587C2×D4—41no—
1588C2×D4—42no—
1589C2×D4—41no—
1590C2×D4—41no—
1591C2×D4—42no—
1592C2×D4—42no—
1593C2×D4—41no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—42no—
1601C2×D4—42no—
1602C2×D4—41no—
1603C2×D4—42no—
1604C2×D4H(5,𝔽2)14yes—
1605C22×C4—24no—
1606C22×C4—24no—
1607C22×C4—24no—
1608C22×C4—24no—
1609C22×C4—24no—
1610C22×C4—24no—
1611C22×C4—24no—
1612C22×C4—24no—
1613C22×C4—24no—
1614C22×C4—24no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—42no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—42no—
1627C22×C4—42no—
1628C22×C4—42no—
1629C22×C4—42no—
1630C22×C4—42no—
1631C22×C4—42no—
1632C22×C4—42no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—42no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4C2512yes—
1645C22×C4C2512yes—
1646C22×C4C2511yescharacteristic
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2512yes—
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2512yes—
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C22×C4C2512yes—
1659C22×C4C2512yes—
1660C22×C4C2512yes—
1661C22×C4C2512yes—
1662C22×C4C2512yes—
1663C22×C4C2512yes—
1664C22×C4C2512yes—
1665C22×C4C2512yes—
1666C22×C4C2512yes—
1667C22×C4C2511yescharacteristic
1668C22×C4C2511yescharacteristic
1669C22×C4C2512yes—
1670C22×C4C2511yescharacteristic
1671C22×C4C2511yescharacteristic
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2511yescharacteristic
1675C22×C4C2511yescharacteristic
1676C4⋊C4—24no—
1677C4⋊C4—24no—
1678C4⋊C4—24no—
1679C4⋊C4—24no—
1680C4⋊C4—24no—
1681C4⋊C4—24no—
1682C4⋊C4—24no—
1683C4⋊C4—24no—
1684C4⋊C4—22no—
1685C4⋊C4—24no—
1686C4⋊C4—24no—
1687C4⋊C4—24no—
1688C4⋊C4—24no—
1689C4⋊C4—24no—
1690C4⋊C4—24no—
1691C4⋊C4—22no—
1692C4⋊C4—24no—
1693C4⋊C4—24no—
1694C4⋊C4—22no—
1695C4⋊C4—24no—
1696C4⋊C4—24no—
1697C4⋊C4—22no—
1698C4⋊C4—24no—
1699C4⋊C4—24no—
1700C4⋊C4—24no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—41no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—42no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—42no—
1715C4⋊C4—41no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—41no—
1722C4⋊C4—41no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—41no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—41no—
1732C4⋊C4—42no—
1733C4⋊C4—42no—
1734C4⋊C4—42no—
1735C4⋊C4—42no—
1736C4⋊C4—42no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—42no—
1741C4⋊C4—42no—
1742C4⋊C4—42no—
1743C4⋊C4—42no—
1744C4⋊C4—42no—
1745C4⋊C4—42no—
1746C4⋊C4—42no—
1747C4⋊C4—42no—
1748C4⋊C4—42no—
1749C4⋊C4—42no—
1750C4⋊C4—41no—
1751C4⋊C4—41no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—41no—
1758C4⋊C4—41no—
1759C4⋊C4—42no—
1760C4⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—41no—
1767C4⋊C4—41no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—42no—
1772C4⋊C4—42no—
1773C4⋊C4—42no—
1774C4⋊C4—41no—
1775C4⋊C4—41no—
1776C4⋊C4—42no—
1777C4⋊C4—41no—
1778C4⋊C4—42no—
1779C4⋊C4—41no—
1780C4⋊C4C2×#4118yes—
1781C4⋊C4C2×#4118yes—
1782C4⋊C4C2×#4114yes—
1783C4⋊C4C2×#4114yes—
1784C4⋊C42−1+414yes—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—24no—
1791C22⋊C4—24no—
1792C22⋊C4—24no—
1793C22⋊C4—24no—
1794C22⋊C4—24no—
1795C22⋊C4—24no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—24no—
1799C22⋊C4—24no—
1800C22⋊C4—24no—
1801C22⋊C4—24no—
1802C22⋊C4—24no—
1803C22⋊C4—24no—
1804C22⋊C4—24no—
1805C22⋊C4—24no—
1806C22⋊C4—24no—
1807C22⋊C4—24no—
1808C22⋊C4—24no—
1809C22⋊C4—24no—
1810C22⋊C4—24no—
1811C22⋊C4—24no—
1812C22⋊C4—24no—
1813C22⋊C4—24no—
1814C22⋊C4—24no—
1815C22⋊C4—24no—
1816C22⋊C4—24no—
1817C22⋊C4—24no—
1818C22⋊C4—24no—
1819C22⋊C4—24no—
1820C22⋊C4—42no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—42no—
1824C22⋊C4—42no—
1825C22⋊C4—42no—
1826C22⋊C4—42no—
1827C22⋊C4—42no—
1828C22⋊C4—42no—
1829C22⋊C4—42no—
1830C22⋊C4—42no—
1831C22⋊C4—42no—
1832C22⋊C4—42no—
1833C22⋊C4—42no—
1834C22⋊C4—42no—
1835C22⋊C4—42no—
1836C22⋊C4—42no—
1837C22⋊C4—42no—
1838C22⋊C4—42no—
1839C22⋊C4—42no—
1840C22⋊C4—42no—
1841C22⋊C4—42no—
1842C22⋊C4—42no—
1843C22⋊C4—42no—
1844C22⋊C4—42no—
1845C22⋊C4—42no—
1846C22⋊C4—42no—
1847C22⋊C4—42no—
1848C22⋊C4—42no—
1849C22⋊C4—42no—
1850C42—24no—
1851C42—24no—
1852C42—24no—
1853C42—24no—
1854C42—24no—
1855C42—22no—
1856C42—24no—
1857C42—22no—
1858C42—24no—
1859C42—22no—
1860C42—24no—
1861C42—24no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—41no—
1867C42—42no—
1868C42—42no—
1869C42—42no—
1870C42—42no—
1871C42—42no—
1872C42—42no—
1873C42—42no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—42no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—41no—
1886C42—41no—
1887C42C2×#4114yes—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23—22no—
1895C23—22no—
1896C23—22no—
1897C23—22no—
1898C23—22no—
1899C23—22no—
1900C23—22no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23C2×H(5,𝔽2)14yes—
1909C23C2611yescharacteristic
1910Q8—44no—
1911Q8—48no—
1912Q8—82no—
1913Q8—84no—
1914Q8—84no—
1915Q8—84no—
1916Q8—84no—
1917Q8—162no—
1918D4—44no—
1919D4—48no—
1920D4—44no—
1921D4—48no—
1922D4—82no—
1923D4—84no—
1924D4—84no—
1925D4—84no—
1926D4—84no—
1927C2×C4—22no—
1928C2×C4—21no—
1929C2×C4—22no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—22no—
1939C2×C4—21no—
1940C2×C4—21no—
1941C2×C4—21no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—21no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—21no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—22no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—21no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—21no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—22no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—48no—
2014C2×C4—48no—
2015C2×C4—48no—
2016C2×C4—48no—
2017C2×C4—48no—
2018C2×C4—84no—
2019C2×C4—84no—
2020C2×C4—84no—
2021C2×C4—84no—
2022C2×C4—84no—
2023C2×C4—84no—
2024C2×C4—84no—
2025C2×C4—162no—
2026C2×C4C22×#4112yes—
2027C2×C4C22×#4112yes—
2028C2×C4C22×#4114yes—
2029C2×C4C22×#4114yes—
2030C2×C4C22×#4112yes—
2031C2×C4C2×H(5,𝔽2)12yes—
2032C2×C4C2×2−1+414yes—
2033C2×C4C2×2−1+412yes—
2034C2×C4C2×2−1+412yes—
2035C2×C4C2×2−1+414yes—
2036C22—24no—
2037C22—24no—
2038C22—24no—
2039C22—42no—
2040C22—42no—
2041C22—42no—
2042C22—42no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—42no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—42no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22C23×#4111yescharacteristic
2058C22C22×H(5,𝔽2)11yescharacteristic
2059C22C22×2−1+411yescharacteristic
2060C22C22×2−1+411yescharacteristic
2061C22H(7,𝔽2)11yescharacteristic
2062C22H(7,𝔽2)11yescharacteristic
2063C222−1+611yescharacteristic
2064C4—22no—
2065C4—24no—
2066C4—22no—
2067C4—22no—
2068C4—24no—
2069C4—24no—
2070C4—22no—
2071C4—24no—
2072C4—22no—
2073C4—22no—
2074C4—42no—
2075C4—42no—
2076C4—42no—
2077C4—42no—
2078C4—42no—
2079C4—42no—
2080C4—42no—
2081C4—42no—
2082C4—42no—
2083C4—41no—
2084C4—42no—
2085C4—42no—
2086C4—42no—
2087C4—42no—
2088C4—42no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—42no—
2093C4—42no—
2094C4—42no—
2095C4—42no—
2096C2—44no—
2097C2—82no—
2098C2—82no—
2099C2#6286211yescharacteristic
2100C2#6286511yescharacteristic
2101C2#6287711yescharacteristic
2102C2#6298511yescharacteristic
2103C2#6299911yescharacteristic
2104C2#6300011yescharacteristic
2105C2#6303711yescharacteristic
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. #60035C2semidirect
2. #59991C2semidirect
3. #59918C2semidirect
4. #59879C2semidirect
5. #59878C2semidirect
6. #59835C2semidirect
7. #51591C2semidirect
8. #51573C2semidirect
9. #51558C2semidirect
10. #51382C2semidirect
11. #51019C2semidirect
12. #49429C2semidirect
13. #49090C2semidirect
14. #48622C2semidirect
15. #48228C2semidirect
16. #47642C2semidirect
17. #47605C2semidirect
18. #47588C2semidirect
19. #44875C2semidirect
20. #44843C2semidirect
21. #44369C2semidirect
22. #44306C2semidirect
23. #44277C2semidirect
24. #44181C2semidirect
25. #44116C2semidirect
26. #44007C2semidirect
27. #43899C2semidirect
28. #39625C2semidirect
29. #39497C2semidirect
30. #39488C2semidirect
31. #39245C2semidirect
32. #38558C2semidirect
33. #38425C2semidirect
34. #34523C2semidirect
35. #34465C2semidirect
1165. #125#41semidirect

Maximal subgroups

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

subgroupindex
#600352
#599912
#599182
#598792
#598782
#598352
#515912
#515732
#515582
#513822
#510192
#494292
#490902
#486222
#482282
#476422
#476052
#475882
#448752
#448432
#443692
#443062
#442772
#441812
#441162
#440072
#438992
#396252
#394972
#394882
#392452
#385582
#384252
#345232
#344652