Finite Group Databasebeta

← #7886307

Subgroups — #7886307

Order 512.

4565 conjugacy classes of subgroups.

The subgroup lattice has 2063 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59938C211yesmaximal, characteristic, complemented
2#59931C212yesmaximal, complemented
3#59527C212yesmaximal, complemented
4#59152C212yesmaximal, complemented
5#51220C212yesmaximal, complemented
6#51075C212yesmaximal, complemented
7#48859C212yesmaximal, complemented
8#47961C212yesmaximal
9#47725C211yesmaximal, characteristic, complemented
10#47023C212yesmaximal, complemented
11#47018C211yesmaximal, characteristic
12#45139C211yesmaximal, characteristic, complemented
13#44353C212yesmaximal, complemented
14#44335C212yesmaximal, complemented
15#43572C212yesmaximal, complemented
16#43562C212yesmaximal, complemented
17#43494C211yesmaximal, characteristic
18#43141C212yesmaximal, complemented
19#42007C212yesmaximal, complemented
20#40627C212yesmaximal, complemented
21#39967C212yesmaximal, complemented
22#39966C212yesmaximal, complemented
23#39660C212yesmaximal, complemented
24#39649C212yesmaximal, complemented
25#38456C212yesmaximal, complemented
26#37688C212yesmaximal, complemented
27#36547C211yesmaximal, characteristic, complemented
28#36476C212yesmaximal, complemented
29#35839C212yesmaximal, complemented
30#35815C212yesmaximal, complemented
31#35578C212yesmaximal, complemented
32#35402C212yesmaximal, complemented
33#34691C212yesmaximal, complemented
34#34508C211yesmaximal, characteristic
35#34315C212yesmaximal
36C2×#557C2211yescharacteristic, complemented
37C2×#554C2211yescharacteristic
38C2×#551C2211yescharacteristic
39C2×#543C2211yescharacteristic
40C2×#533C2212yes—
41C22×C4×Q8C2211yescharacteristic, complemented
42#2862C2212yescomplemented
43#2855C2212yes—
44#2855C2211yescharacteristic, complemented
45#2855C2212yescomplemented
46#2843C2211yescharacteristic, complemented
47#2841C2212yes—
48#2840C2211yescharacteristic
49#2811C2211yescharacteristic, complemented
50#2806C2212yescomplemented
51#2799C2212yescomplemented
52#2799C2211yescharacteristic, complemented
53#2792C2212yescomplemented
54#2792C2212yescomplemented
55#2792C2212yescomplemented
56#2792C2212yescomplemented
57#2791C2212yescomplemented
58#2791C2212yescomplemented
59#2788C2212yes—
60#2788C2212yes—
61#2788C2212yescomplemented
62#2788C2212yescomplemented
63#2784C2212yes—
64#2784C2212yes—
65#2784C2212yes—
66#2780C2212yes—
67#2780C2212yes—
68#2774C2212yescomplemented
69#2774C2212yescomplemented
70#2774C2212yescomplemented
71#2768C2212yes—
72#2768C2212yes—
73#2768C2212yes—
74#2768C2212yescomplemented
75#2768C2212yescomplemented
76#2768C2212yescomplemented
77#2763C2212yes—
78#2763C2212yes—
79#2763C2212yes—
80#2763C2212yes—
81#2763C2211yescharacteristic
82#2755C2212yescomplemented
83#2755C2212yescomplemented
84#2755C2212yescomplemented
85#2742C2212yes—
86#2742C2211yescharacteristic
87#2742C2212yes—
88#2742C2211yescharacteristic, complemented
89#2734C2212yescomplemented
90#2732C2212yes—
91#2732C2212yes—
92#2729C2212yes—
93#2729C2212yes—
94#2729C2212yes—
95#2729C2212yes—
96#2729C2212yes—
97#2729C2212yescomplemented
98#2729C2212yescomplemented
99#2720C2212yes—
100#2720C2212yes—
101#2720C2212yes—
102#2720C2212yescomplemented
103#2720C2212yescomplemented
104#2720C2212yescomplemented
105#2713C2212yescomplemented
106#2704C2212yes—
107#2704C2212yes—
108#2704C2212yes—
109#2692C2212yes—
110#2692C2212yes—
111#2692C2212yes—
112#2692C2212yes—
113#2677C2212yes—
114#2677C2212yes—
115#2677C2212yes—
116#2677C2212yes—
117#2677C2211yescharacteristic, complemented
118#2667C2212yes—
119#2667C2212yes—
120#2666C2212yescomplemented
121#2666C2212yescomplemented
122#2666C2212yescomplemented
123#2666C2212yescomplemented
124#2665C2212yes—
125#2665C2212yes—
126#2659C2212yes—
127#2628C2212yes—
128#2626C2212yes—
129#2626C2212yes—
130#2612C2212yescomplemented
131#2612C2212yescomplemented
132#2608C2212yescomplemented
133#2607C2212yes—
134#2607C2212yes—
135#2607C2212yes—
136#2607C2212yescomplemented
137#2607C2211yescharacteristic, complemented
138#2607C2211yescharacteristic, complemented
139#2606C2212yescomplemented
140#2605C2212yescomplemented
141#2605C2212yescomplemented
142#2590C2212yescomplemented
143#2590C2212yescomplemented
144#2590C2212yescomplemented
145#2590C2212yescomplemented
146#2590C2212yescomplemented
147#2589C2212yes—
148#2589C2212yes—
149#2589C2212yes—
150#2589C2212yes—
151#2589C2212yes—
152#2589C2212yes—
153#2589C2212yes—
154#2589C2212yescomplemented
155#2589C2212yescomplemented
156#2589C2212yescomplemented
157#2588C2212yescomplemented
158#2588C2212yescomplemented
159#2587C2212yes—
160#2587C2212yes—
161#2586C2212yescomplemented
162#2586C2212yescomplemented
163#2586C2212yescomplemented
164#2586C2212yescomplemented
165#2585C2212yescomplemented
166#2584C2212yescomplemented
167#2583C2212yescomplemented
168#2581C2211yescharacteristic, complemented
169#2580C2211yescharacteristic
170#2580C2212yes—
171#2580C2212yes—
172#2579C2212yes—
173#2574C2212yes—
174#2574C2212yes—
175#2574C2212yes—
176#2574C2212yes—
177#2574C2212yes—
178#2574C2212yescomplemented
179#2570C2212yescomplemented
180#2570C2212yescomplemented
181#2570C2212yescomplemented
182#2569C2212yes—
183#2567C2212yescomplemented
184#2565C2212yescomplemented
185#2564C2211yescharacteristic
186#2563C2212yes—
187#2556C2212yes—
188#2556C2212yes—
189#2556C2212yes—
190#2556C2212yes—
191#2556C2212yes—
192#2556C2212yes—
193#2552C2212yescomplemented
194#2551C2212yescomplemented
195#2551C2211yescharacteristic, complemented
196#2550C2212yescomplemented
197#2550C2212yescomplemented
198#2550C2212yescomplemented
199#2549C2212yes—
200#2549C2212yes—
201#2542C2212yes—
202#2522C2212yes—
203#2522C2212yes—
204#2522C2212yes—
205#2522C2212yes—
206#2522C2212yes—
207#2520C2212yescomplemented
208#2520C2212yescomplemented
209#2520C2212yescomplemented
210#2520C2212yescomplemented
211#2520C2212yescomplemented
212#2511C2212yescomplemented
213#2508C2212yescomplemented
214#2507C2212yescomplemented
215#2502C2212yes—
216#2502C2211yescharacteristic
217#2497C2212yes—
218#2492C2212yes—
219#2492C2212yes—
220#2492C2212yes—
221#2492C2212yescomplemented
222#2473C2212yes—
223#2473C2212yes—
224#2473C2212yescomplemented
225#2473C2212yescomplemented
226#2465C2212yes—
227#2465C2212yes—
228#2465C2212yes—
229#2465C2212yes—
230#2465C2212yes—
231#2465C2212yes—
232#2465C2212yes—
233#2465C2212yes—
234#2465C2212yes—
235#2465C2212yes—
236#2465C2212yes—
237#2465C2212yes—
238#2465C2212yescomplemented
239#2462C2212yescomplemented
240#2462C2212yescomplemented
241#2462C2212yescomplemented
242#2462C2212yescomplemented
243#2462C2212yescomplemented
244#2462C2212yescomplemented
245#2462C2212yescomplemented
246#2462C2212yescomplemented
247#2454C2212yes—
248#2453C2212yescomplemented
249#2451C2212yescomplemented
250#2451C2212yescomplemented
251#2451C2212yescomplemented
252#2451C2212yescomplemented
253#2451C2212yescomplemented
254#2451C2212yescomplemented
255#2451C2212yescomplemented
256#2451C2212yescomplemented
257#2449C2212yes—
258#2449C2212yes—
259#2449C2212yes—
260#2446C2212yescomplemented
261#2446C2212yescomplemented
262#2442C2212yes—
263#2441C2212yes—
264#2441C2212yes—
265#2440C2212yes—
266#2440C2212yes—
267#2440C2212yes—
268#2440C2212yes—
269#2440C2212yescomplemented
270#2439C2212yes—
271#2439C2212yes—
272#2438C2212yes—
273#2438C2212yes—
274#2437C2212yes—
275#2437C2212yes—
276#2437C2211yescharacteristic
277#2437C2212yes—
278#2437C2212yes—
279#2434C2212yescomplemented
280#2434C2211yescharacteristic, complemented
281#2429C2212yes—
282#2429C2212yes—
283#2429C2212yes—
284#2429C2212yes—
285#2423C2212yes—
286#2423C2212yes—
287#2423C2212yes—
288#2423C2212yes—
289#2423C2212yes—
290#2423C2212yes—
291#2423C2212yescomplemented
292#2417C2212yes—
293#2409C2211yescharacteristic
294#2409C2212yes—
295#2399C2212yescomplemented
296#2399C2212yescomplemented
297#2399C2211yescharacteristic, complemented
298#2396C2212yes—
299#2396C2212yes—
300#2396C2212yes—
301C2×#399C2211yescharacteristic
302#2379C2211yescharacteristic
303#2376C2212yes—
304#2375C2211yescharacteristic
305#2374C2212yes—
306#2374C2212yes—
307#2374C2211yescharacteristic
308#2373C2212yes—
309#2373C2212yes—
310#2373C2212yes—
311#2370C2212yescomplemented
312#2370C2212yescomplemented
313#2369C2212yescomplemented
314#2368C2212yes—
315#2368C2211yescharacteristic
316#2368C2212yes—
317#2367C2212yes—
318#2365C2212yescomplemented
319#2365C2212yescomplemented
320#2365C2212yescomplemented
321#2362C2212yes—
322#2362C2212yes—
323#2360C2212yes—
324#2360C2212yes—
325#2359C2212yes—
326#2358C2212yes—
327#2357C2212yes—
328#2357C2212yes—
329#2355C2212yescomplemented
330#2355C2212yescomplemented
331#2355C2212yescomplemented
332#2353C2212yes—
333#2347C2212yes—
334#2346C2212yes—
335#2345C2212yes—
336#2345C2211yescharacteristic, complemented
337#2343C2212yes—
338#2342C2212yes—
339#2342C2212yes—
340#2342C2212yes—
341#2337C2212yes—
342#2335C2212yes—
343#2335C2212yes—
344#2334C2212yes—
345#2334C2212yes—
346#2332C2212yes—
347#2332C2212yes—
348#2331C2212yescomplemented
349#2331C2211yescharacteristic, complemented
350#2330C2212yescomplemented
351#2329C2212yes—
352#2329C2212yes—
353#2329C2212yes—
354#2326C2211yescharacteristic
355#2322C2212yes—
356#2321C2212yes—
357#2321C2211yescharacteristic
358#2314C2212yes—
359#2312C2212yes—
360C4×C4⋊Q8C2212yescomplemented
361C4×C4⋊Q8C2212yescomplemented
362C4×#126C2212yes—
363C4×C22⋊Q8C2212yes—
364C4×C22⋊Q8C2212yes—
365C4×C22⋊Q8C2212yes—
366C4×C22⋊Q8C2212yescomplemented
367C4×C22⋊Q8C2212yescomplemented
368C4×C22⋊Q8C2212yescomplemented
369C4×#123C2212yes—
370C4×#123C2211yescharacteristic
371#2298C2212yes—
372#2295C2212yescomplemented
373#2290C2212yes—
374#2290C2212yes—
375C2×#388C2212yes—
376#2274C2212yes—
377#2273C2212yes—
378C42×D4C2212yes—
379C23×Q8C2311yescharacteristic
380#557—44no—
381#554—44no—
382#551Q8116yescomplemented
383#543—44no—
384#533—48no—
385C2×C4⋊Q8C2311yescharacteristic
386C2×C4⋊Q8C2312yes—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2312yes—
390C2×C4⋊Q8C2312yes—
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×#126C2312yes—
397C2×#125C2312yes—
398C2×#125C2312yes—
399C2×#125C2312yes—
400C2×#125C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#124C2311yescharacteristic
405C2×#123C2312yes—
406C2×#123C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2312yes—
431C2×#120C2311yescharacteristic
432C2×C4×Q8—44no—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×#117C2312yes—
454C2×#117C2312yes—
455C2×#117C2312yes—
456C2×#117C2312yes—
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2312yes—
461C22×C4⋊C4C2311yescharacteristic
462C22×C22⋊C4C2311yescharacteristic
463C22×C22⋊C4C2312yes—
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2312yes—
467C22×C42C2312yes—
468C22×C42C2312yes—
469C22×C42C2311yescharacteristic
470#400C2311yescharacteristic
471#400C2312yes—
472#400C2312yes—
473#400C2312yes—
474#400C2312yes—
475#400C2312yes—
476#400C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#400C2312yes—
482#400C2312yes—
483#400C2312yes—
484#400C2312yes—
485#400C2312yes—
486#400C2312yes—
487#400C2312yes—
488#400C2312yes—
489#400C2312yes—
490#400C2312yes—
491#400C2312yes—
492#400C2312yes—
493#399C2311yescharacteristic
494#399C2311yescharacteristic
495#399C2312yes—
496#399C2312yes—
497#399C2312yes—
498#399C2311yescharacteristic
499#399C2312yes—
500#399C2312yes—
501#399C2312yes—
502#399C2312yes—
503#399C2312yes—
504#399C2312yes—
505#399C2312yes—
506#399C2312yes—
507#399C2312yes—
508#399C2312yes—
509#399C2312yes—
510#399C2312yes—
511#398C2312yes—
512#398C2312yes—
513#398C2312yes—
514#398C2312yes—
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#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#396C2312yes—
567#396C2312yes—
568#396C2312yes—
569#396C2312yes—
570#396C2312yes—
571#396C2312yes—
572#396C2312yes—
573#396C2312yes—
574#396C2312yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#396C2312yes—
585#396C2312yes—
586#396C2312yes—
587#395C2311yescharacteristic
588#395C2312yes—
589#395C2312yes—
590#395C2312yes—
591#395C2312yes—
592#395C2312yes—
593#395C2312yes—
594#395C2312yes—
595#395C2312yes—
596#395C2312yes—
597#395C2312yes—
598#395C2312yes—
599#395C2312yes—
600#395C2312yes—
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2311yescharacteristic
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#395C2311yescharacteristic
623#395C2312yes—
624#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#393C2312yes—
628#393C2312yes—
629#393C2312yes—
630#393C2312yes—
631#393C2311yescharacteristic
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#393C2312yes—
637#393C2312yes—
638#393C2311yescharacteristic
639#393C2312yes—
640#393C2311yescharacteristic
641#393C2312yes—
642#393C2312yes—
643#393C2311yescharacteristic
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2311yescharacteristic
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2311yescharacteristic
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
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#391C2312yes—
687#391C2312yes—
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2312yes—
693#391C2312yes—
694#391C2312yes—
695#391C2312yes—
696#391C2312yes—
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#390C2312yes—
701#390C2312yes—
702#390C2311yescharacteristic
703#389C2312yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2312yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
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#389C2312yes—
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#389C2312yes—
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#388C2312yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2312yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2312yes—
776#388C2312yes—
777#388C2312yes—
778#388C2312yes—
779#388C2312yes—
780#388C2312yes—
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#387C2312yes—
814#387C2312yes—
815#387C2312yes—
816#387C2312yes—
817#387C2312yes—
818#387C2312yes—
819#387C2312yes—
820#387C2312yes—
821#387C2312yes—
822#387C2312yes—
823#387C2312yes—
824#387C2312yes—
825#387C2312yes—
826#387C2312yes—
827#387C2312yes—
828#387C2312yes—
829#387C2312yes—
830#387C2312yes—
831#387C2312yes—
832#387C2312yes—
833#387C2312yes—
834#387C2312yes—
835#387C2312yes—
836#387C2312yes—
837#387C2312yes—
838#387C2312yes—
839#387C2312yes—
840#387C2312yes—
841#387C2312yes—
842#387C2312yes—
843#387C2312yes—
844#387C2312yes—
845#387C2312yes—
846#387C2312yes—
847#387C2312yes—
848#387C2312yes—
849#387C2312yes—
850#387C2312yes—
851#387C2312yes—
852#387C2312yes—
853#387C2312yes—
854#387C2312yes—
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#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2311yescharacteristic
917#386C2312yes—
918#386C2311yescharacteristic
919#386C2312yes—
920#386C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2311yescharacteristic
931#385C2312yes—
932#385C2312yes—
933#385C2312yes—
934#385C2312yes—
935#385C2312yes—
936#385C2312yes—
937#385C2312yes—
938#385C2312yes—
939#385C2312yes—
940#385C2312yes—
941#385C2312yes—
942#385C2312yes—
943#385C2312yes—
944#385C2312yes—
945#385C2312yes—
946#385C2312yes—
947#385C2312yes—
948#385C2312yes—
949#385C2311yescharacteristic
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#384C2312yes—
969#384C2312yes—
970#384C2312yes—
971#384C2312yes—
972#384C2311yescharacteristic
973#384C2312yes—
974#384C2312yes—
975#384C2312yes—
976#383C2312yes—
977#383C2312yes—
978#382C2312yes—
979#382C2312yes—
980#382C2312yes—
981#382C2312yes—
982#382C2312yes—
983#382C2312yes—
984#382C2312yes—
985#382C2312yes—
986#382C2312yes—
987#382C2311yescharacteristic
988#382C2312yes—
989#382C2312yes—
990#381C2312yes—
991#381C2312yes—
992#381C2312yes—
993#381C2311yescharacteristic
994#381C2312yes—
995#380C2312yes—
996#380C2312yes—
997#380C2312yes—
998#380C2312yes—
999#380C2312yes—
1000#380C2312yes—
1001#380C2312yes—
1002#380C2312yes—
1003#380C2312yes—
1004#380C2312yes—
1005#380C2312yes—
1006#380C2312yes—
1007#380C2312yes—
1008#380C2312yes—
1009#380C2312yes—
1010#380C2311yescharacteristic
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#379C2311yescharacteristic
1017#379C2312yes—
1018#379C2312yes—
1019C4×C4⋊C4C2312yes—
1020C4×C4⋊C4C2312yes—
1021C4×C4⋊C4C2312yes—
1022C4×C4⋊C4C2312yes—
1023C4×C4⋊C4C2312yes—
1024C4×C4⋊C4C2312yes—
1025C4×C4⋊C4C2312yes—
1026C4×C4⋊C4C2312yes—
1027C4×C4⋊C4C2312yes—
1028C4×C4⋊C4C2312yes—
1029C4×C4⋊C4C2312yes—
1030C4×C4⋊C4C2312yes—
1031C4×C4⋊C4C2312yes—
1032C4×C4⋊C4C2312yes—
1033C4×C4⋊C4C2312yes—
1034C4×C4⋊C4C2312yes—
1035C4×C4⋊C4C2312yes—
1036C4×C4⋊C4C2312yes—
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2312yes—
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2312yes—
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2312yes—
1049C4×C4⋊C4C2312yes—
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×C22⋊C4C2312yes—
1063C4×C22⋊C4C2312yes—
1064C4×C22⋊C4C2312yes—
1065C4×C22⋊C4C2312yes—
1066C4×C22⋊C4C2312yes—
1067C4×C22⋊C4C2312yes—
1068C4×C22⋊C4C2312yes—
1069C4×C22⋊C4C2312yes—
1070C4×C22⋊C4C2312yes—
1071C4×C22⋊C4C2312yes—
1072C4×C22⋊C4C2312yes—
1073C4×C22⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
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#376C2311yescharacteristic
1097#376C2312yes—
1098#376C2312yes—
1099#376C2312yes—
1100C2×#95C2311yescharacteristic
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C43C2312yes—
1104C25C2411yescharacteristic
1105C22×Q8—42no—
1106C22×Q8—44no—
1107C22×Q8C2412yes—
1108C22×Q8C2411yescharacteristic
1109C22×Q8C2412yes—
1110C22×Q8C2411yescharacteristic
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2412yes—
1115C22×Q8C2411yescharacteristic
1116C22×Q8C2412yes—
1117C22×Q8C2411yescharacteristic
1118C22×Q8C2412yes—
1119C22×Q8C2411yescharacteristic
1120C22×Q8C2411yescharacteristic
1121C22×D4C2411yescharacteristic
1122C22×D4C2412yes—
1123C23×C4C2411yescharacteristic
1124C23×C4C2412yes—
1125C23×C4C2412yes—
1126C23×C4C2412yes—
1127C23×C4C2412yes—
1128C23×C4C2411yescharacteristic
1129C23×C4C2412yes—
1130C23×C4C2412yes—
1131C23×C4C2411yescharacteristic
1132C23×C4C2412yes—
1133C23×C4C2412yes—
1134C23×C4C2411yescharacteristic
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2411yescharacteristic
1138C4⋊Q8—24no—
1139C4⋊Q8—44no—
1140C4⋊Q8—44no—
1141C4⋊Q8—44no—
1142C4⋊Q8—44no—
1143C4⋊Q8—44no—
1144C4⋊Q8—44no—
1145C4⋊Q8—44no—
1146C4⋊Q8—44no—
1147C4⋊Q8—44no—
1148C4⋊Q8—44no—
1149#126C2×Q8116yescomplemented
1150#125—28no—
1151#125—44no—
1152#125—44no—
1153#125—44no—
1154#125—44no—
1155#125—44no—
1156#125—44no—
1157#124C2×Q818yes—
1158#123C2×Q8116yes—
1159#123C2×Q818yes—
1160C22⋊Q8—28no—
1161C22⋊Q8—24no—
1162C22⋊Q8—44no—
1163C22⋊Q8—44no—
1164C22⋊Q8—44no—
1165C22⋊Q8—44no—
1166C22⋊Q8—44no—
1167C22⋊Q8—44no—
1168C22⋊Q8—44no—
1169C22⋊Q8—44no—
1170C22⋊Q8—44no—
1171C22⋊Q8—44no—
1172C22⋊Q8—44no—
1173C22⋊Q8—44no—
1174C22⋊Q8—44no—
1175C22⋊Q8—44no—
1176C22⋊Q8—44no—
1177C22⋊Q8—42no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—42no—
1182C22⋊Q8—44no—
1183C22⋊Q8C2×Q8116yescomplemented
1184#120C2×Q818yes—
1185C4×Q8—28no—
1186C4×Q8—44no—
1187C4×Q8—44no—
1188C4×Q8—44no—
1189C4×Q8—44no—
1190C4×Q8—44no—
1191C4×Q8—44no—
1192C4×Q8—44no—
1193C4×Q8—42no—
1194C4×Q8—42no—
1195C4×Q8—44no—
1196C4×Q8—44no—
1197C4×Q8—44no—
1198C4×Q8—42no—
1199C4×Q8—44no—
1200C4×D4—44no—
1201C4×D4—44no—
1202C4×D4—42no—
1203C4×D4—44no—
1204C4×D4C2×Q8116yes—
1205#117—44no—
1206#117—44no—
1207#117—44no—
1208#117C2×Q8116yescomplemented
1209C2×C4⋊C4—24no—
1210C2×C4⋊C4—44no—
1211C2×C4⋊C4—44no—
1212C2×C4⋊C4—44no—
1213C2×C4⋊C4—42no—
1214C2×C4⋊C4C2411yescharacteristic
1215C2×C4⋊C4C2412yes—
1216C2×C4⋊C4C2412yes—
1217C2×C4⋊C4C2412yes—
1218C2×C4⋊C4C2412yes—
1219C2×C4⋊C4C2411yescharacteristic
1220C2×C4⋊C4C2412yes—
1221C2×C4⋊C4C2412yes—
1222C2×C4⋊C4C2412yes—
1223C2×C4⋊C4C2412yes—
1224C2×C4⋊C4C2412yes—
1225C2×C4⋊C4C2412yes—
1226C2×C4⋊C4C2412yes—
1227C2×C4⋊C4C2412yes—
1228C2×C4⋊C4C2412yes—
1229C2×C4⋊C4C2412yes—
1230C2×C4⋊C4C2412yes—
1231C2×C4⋊C4C2412yes—
1232C2×C4⋊C4C2412yes—
1233C2×C4⋊C4C2412yes—
1234C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2411yescharacteristic
1253C2×C4⋊C4C2412yes—
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2412yes—
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2412yes—
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2411yescharacteristic
1321C2×C22⋊C4—44no—
1322C2×C22⋊C4—44no—
1323C2×C22⋊C4—42no—
1324C2×C22⋊C4—44no—
1325C2×C22⋊C4C2×Q8116yescomplemented
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2412yes—
1340C2×C22⋊C4C2412yes—
1341C2×C22⋊C4C2412yes—
1342C2×C22⋊C4C2412yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2411yescharacteristic
1345C2×C22⋊C4C2412yes—
1346C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1364C2×C22⋊C4C2412yes—
1365C2×C22⋊C4C2411yescharacteristic
1366C2×C22⋊C4C2412yes—
1367C2×C22⋊C4C2412yes—
1368C2×C22⋊C4C2412yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2412yes—
1372C2×C22⋊C4C2411yescharacteristic
1373C2×C22⋊C4C2411yescharacteristic
1374C2×C42—44no—
1375C2×C42—42no—
1376C2×C42—44no—
1377C2×C42C2412yes—
1378C2×C42C2412yes—
1379C2×C42C2412yes—
1380C2×C42C2411yescharacteristic
1381C2×C42C2412yes—
1382C2×C42C2412yes—
1383C2×C42C2412yes—
1384C2×C42C2412yes—
1385C2×C42C2412yes—
1386C2×C42C2412yes—
1387C2×C42C2412yes—
1388C2×C42C2412yes—
1389C2×C42C2412yes—
1390C2×C42C2412yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2412yes—
1404C2×C42C2412yes—
1405C2×C42C2412yes—
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2412yes—
1412C2×C42C2411yescharacteristic
1413C2×C42C2412yes—
1414C2×C42C2412yes—
1415C2×C42C2411yescharacteristic
1416C2×C42C2412yes—
1417#95C2412yes—
1418#95C2412yes—
1419#95C2412yes—
1420#95C2412yes—
1421#95C2412yes—
1422#95C2411yescharacteristic
1423#95C2412yes—
1424#95C2412yes—
1425#95C2411yescharacteristic
1426#95C2412yes—
1427#95C2412yes—
1428#95C2412yes—
1429#95C2412yes—
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2412yes—
1439#95C2412yes—
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
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#95C2411yescharacteristic
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2411yescharacteristic
1522#95C2411yescharacteristic
1523#95C2412yes—
1524#95C2412yes—
1525#95C2411yescharacteristic
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533C24—41no—
1534C24—42no—
1535C24—42no—
1536C24—41no—
1537C24C22×Q814yes—
1538C24C2512yes—
1539C24C2511yescharacteristic
1540C24C2511yescharacteristic
1541C2×Q8—24no—
1542C2×Q8—22no—
1543C2×Q8—24no—
1544C2×Q8—24no—
1545C2×Q8—24no—
1546C2×Q8—24no—
1547C2×Q8—24no—
1548C2×Q8—24no—
1549C2×Q8—24no—
1550C2×Q8—41no—
1551C2×Q8—41no—
1552C2×Q8—41no—
1553C2×Q8—42no—
1554C2×Q8—42no—
1555C2×Q8—41no—
1556C2×Q8—42no—
1557C2×Q8—42no—
1558C2×Q8—41no—
1559C2×Q8—42no—
1560C2×Q8—42no—
1561C2×Q8—42no—
1562C2×Q8—42no—
1563C2×Q8—42no—
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—42no—
1573C2×Q8—42no—
1574C2×Q8—42no—
1575C2×Q8—41no—
1576C2×Q8—42no—
1577C2×Q8—416no—
1578C2×Q8C22×Q814yes—
1579C2×D4—41no—
1580C2×D4—42no—
1581C2×D4—42no—
1582C2×D4—41no—
1583C2×D4C22×Q818yes—
1584C2×D4C22×Q814yes—
1585C22×C4—22no—
1586C22×C4—24no—
1587C22×C4—24no—
1588C22×C4—24no—
1589C22×C4—22no—
1590C22×C4—24no—
1591C22×C4—24no—
1592C22×C4—41no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—41no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—42no—
1601C22×C4—41no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—42no—
1608C22×C4—42no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—42no—
1612C22×C4—42no—
1613C22×C4—41no—
1614C22×C4—42no—
1615C22×C4—42no—
1616C22×C4—42no—
1617C22×C4—42no—
1618C22×C4—42no—
1619C22×C4—42no—
1620C22×C4—42no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4C22×Q818yes—
1624C22×C4C22×Q818yes—
1625C22×C4C22×Q814yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2512yes—
1631C22×C4C2512yes—
1632C22×C4C2512yes—
1633C22×C4C2512yes—
1634C22×C4C2511yescharacteristic
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2511yescharacteristic
1638C22×C4C2512yes—
1639C22×C4C2512yes—
1640C22×C4C2512yes—
1641C22×C4C2512yes—
1642C22×C4C2512yes—
1643C22×C4C2512yes—
1644C22×C4C2512yes—
1645C22×C4C2511yescharacteristic
1646C22×C4C2512yes—
1647C22×C4C2512yes—
1648C22×C4C2512yes—
1649C22×C4C2512yes—
1650C22×C4C2511yescharacteristic
1651C22×C4C2512yes—
1652C22×C4C2512yes—
1653C22×C4C2512yes—
1654C22×C4C2511yescharacteristic
1655C22×C4C2512yes—
1656C22×C4C2512yes—
1657C22×C4C2512yes—
1658C4⋊C4—22no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—22no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
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—24no—
1685C4⋊C4—24no—
1686C4⋊C4—42no—
1687C4⋊C4—42no—
1688C4⋊C4—42no—
1689C4⋊C4—42no—
1690C4⋊C4—42no—
1691C4⋊C4—42no—
1692C4⋊C4—42no—
1693C4⋊C4—42no—
1694C4⋊C4—42no—
1695C4⋊C4—42no—
1696C4⋊C4—42no—
1697C4⋊C4—42no—
1698C4⋊C4—42no—
1699C4⋊C4—42no—
1700C4⋊C4—42no—
1701C4⋊C4—42no—
1702C4⋊C4—42no—
1703C4⋊C4—41no—
1704C4⋊C4—42no—
1705C4⋊C4—42no—
1706C4⋊C4—42no—
1707C4⋊C4—42no—
1708C4⋊C4—41no—
1709C4⋊C4—42no—
1710C4⋊C4—42no—
1711C4⋊C4—42no—
1712C4⋊C4—42no—
1713C4⋊C4—42no—
1714C4⋊C4—41no—
1715C4⋊C4—42no—
1716C4⋊C4—42no—
1717C4⋊C4—42no—
1718C4⋊C4—42no—
1719C4⋊C4—42no—
1720C4⋊C4—42no—
1721C4⋊C4—42no—
1722C4⋊C4—42no—
1723C4⋊C4—42no—
1724C4⋊C4—42no—
1725C4⋊C4—42no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
1732C4⋊C4—42no—
1733C4⋊C4—41no—
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—42no—
1751C4⋊C4—42no—
1752C4⋊C4—42no—
1753C4⋊C4—42no—
1754C4⋊C4—42no—
1755C4⋊C4—42no—
1756C4⋊C4—42no—
1757C4⋊C4—42no—
1758C4⋊C4—42no—
1759C4⋊C4—42no—
1760C4⋊C4C22×Q818yes—
1761C4⋊C4C22×Q818yes—
1762C4⋊C4C22×Q818yes—
1763C4⋊C4C22×Q818yes—
1764C4⋊C4H(5,𝔽2)14yes—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—42no—
1774C22⋊C4—42no—
1775C22⋊C4—42no—
1776C22⋊C4—42no—
1777C22⋊C4—42no—
1778C22⋊C4—42no—
1779C22⋊C4—42no—
1780C22⋊C4—41no—
1781C22⋊C4—42no—
1782C22⋊C4—41no—
1783C22⋊C4—42no—
1784C22⋊C4—42no—
1785C22⋊C4—42no—
1786C22⋊C4—42no—
1787C22⋊C4—42no—
1788C22⋊C4—42no—
1789C22⋊C4—42no—
1790C22⋊C4—41no—
1791C22⋊C4—41no—
1792C22⋊C4—42no—
1793C22⋊C4—42no—
1794C22⋊C4—42no—
1795C22⋊C4—42no—
1796C22⋊C4—42no—
1797C22⋊C4—42no—
1798C22⋊C4—42no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—42no—
1802C22⋊C4—42no—
1803C22⋊C4—42no—
1804C22⋊C4—42no—
1805C22⋊C4C22×Q818yes—
1806C22⋊C4C22×Q818yes—
1807C22⋊C4C22×Q818yes—
1808C22⋊C4C22×Q818yes—
1809C22⋊C4C22×Q818yes—
1810C22⋊C4C22×Q818yes—
1811C22⋊C4C22×Q814yes—
1812C22⋊C4C22×Q814yes—
1813C42—24no—
1814C42—24no—
1815C42—24no—
1816C42—24no—
1817C42—22no—
1818C42—24no—
1819C42—24no—
1820C42—24no—
1821C42—42no—
1822C42—42no—
1823C42—42no—
1824C42—42no—
1825C42—42no—
1826C42—42no—
1827C42—42no—
1828C42—42no—
1829C42—42no—
1830C42—42no—
1831C42—41no—
1832C42—42no—
1833C42—42no—
1834C42—42no—
1835C42—42no—
1836C42—42no—
1837C42—42no—
1838C42—42no—
1839C42—42no—
1840C42—42no—
1841C42—42no—
1842C42—42no—
1843C42—42no—
1844C42—42no—
1845C42—42no—
1846C42—42no—
1847C42—42no—
1848C42—42no—
1849C42—42no—
1850C42—42no—
1851C42C22×Q814yes—
1852C42C22×Q818yes—
1853C23—22no—
1854C23—21no—
1855C23—21no—
1856C23—22no—
1857C23—22no—
1858C23—22no—
1859C23—22no—
1860C23—22no—
1861C23—22no—
1862C23—22no—
1863C23—22no—
1864C23—21no—
1865C23—22no—
1866C23—21no—
1867C23—44no—
1868C23—48no—
1869C23—161no—
1870C23—161no—
1871C23—162no—
1872C23C23×Q812yes—
1873C23C23×Q814yes—
1874C23C23×Q812yes—
1875C23C2611yescharacteristic
1876Q8—44no—
1877Q8—48no—
1878Q8—44no—
1879Q8—44no—
1880Q8—84no—
1881Q8—84no—
1882Q8—82no—
1883Q8—84no—
1884Q8—84no—
1885Q8—84no—
1886Q8—84no—
1887Q8—82no—
1888Q8—84no—
1889Q8—161no—
1890D4—44no—
1891D4—48no—
1892C2×C4—22no—
1893C2×C4—21no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—22no—
1906C2×C4—22no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—21no—
1911C2×C4—22no—
1912C2×C4—21no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—21no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—21no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—22no—
1929C2×C4—22no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—22no—
1936C2×C4—22no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—22no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—22no—
1944C2×C4—22no—
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—22no—
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—22no—
1973C2×C4—22no—
1974C2×C4—44no—
1975C2×C4—48no—
1976C2×C4—48no—
1977C2×C4—44no—
1978C2×C4—48no—
1979C2×C4—84no—
1980C2×C4—84no—
1981C2×C4—82no—
1982C2×C4—84no—
1983C2×C4—84no—
1984C2×C4—82no—
1985C2×C4—162no—
1986C2×C4—161no—
1987C2×C4—162no—
1988C2×C4—162no—
1989C2×C4C23×Q814yes—
1990C2×C4C23×Q814yes—
1991C2×C4C23×Q814yes—
1992C2×C4C23×Q812yes—
1993C2×C4C23×Q814yes—
1994C2×C4C23×Q814yes—
1995C2×C4C2×H(5,𝔽2)14yes—
1996C2×C4C2×H(5,𝔽2)12yes—
1997C2×C4#58514yes—
1998C2×C4#58514yes—
1999C22—22no—
2000C22—24no—
2001C22—22no—
2002C22—24no—
2003C22—24no—
2004C22—24no—
2005C22—24no—
2006C22—41no—
2007C22—42no—
2008C22—41no—
2009C22—41no—
2010C22—42no—
2011C22—41no—
2012C22—42no—
2013C22—42no—
2014C22—42no—
2015C22—42no—
2016C22—164no—
2017C22C24×Q811yescharacteristic
2018C22C22×H(5,𝔽2)11yescharacteristic
2019C22C2×#58512yes—
2020C22C2×#58512yes—
2021C222−1+611yescharacteristic
2022C4—24no—
2023C4—24no—
2024C4—22no—
2025C4—24no—
2026C4—24no—
2027C4—24no—
2028C4—24no—
2029C4—22no—
2030C4—24no—
2031C4—24no—
2032C4—42no—
2033C4—42no—
2034C4—42no—
2035C4—42no—
2036C4—42no—
2037C4—42no—
2038C4—41no—
2039C4—42no—
2040C4—41no—
2041C4—42no—
2042C4—41no—
2043C4—42no—
2044C4—42no—
2045C4—42no—
2046C4—42no—
2047C4—42no—
2048C4—42no—
2049C4—42no—
2050C4—42no—
2051C4—42no—
2052C4—42no—
2053C4—42no—
2054C2—42no—
2055C2—44no—
2056C2—42no—
2057C2#6281312yes—
2058C2#6282111yescharacteristic
2059C2#6294012yes—
2060C2Q8×H(5,𝔽2)11yescharacteristic
2061C2#6302111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#120C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59938C2semidirect
2. #59931C2semidirect
3. #59527C2semidirect
4. #59152C2semidirect
5. #51220C2semidirect
6. #51075C2semidirect
7. #48859C2semidirect
9. #47725C2semidirect
10. #47023C2semidirect
12. #45139C2semidirect
13. #44353C2semidirect
14. #44335C2semidirect
15. #43572C2semidirect
16. #43562C2semidirect
18. #43141C2semidirect
19. #42007C2semidirect
20. #40627C2semidirect
21. #39967C2semidirect
22. #39966C2semidirect
23. #39660C2semidirect
24. #39649C2semidirect
25. #38456C2semidirect
26. #37688C2semidirect
27. #36547C2semidirect
28. #36476C2semidirect
29. #35839C2semidirect
30. #35815C2semidirect
31. #35578C2semidirect
32. #35402C2semidirect
33. #34691C2semidirect
36. C2×#557C22semidirect
41. C22×C4×Q8C22semidirect
42. #2862C22semidirect
44. #2855C22semidirect
45. #2855C22semidirect
46. #2843C22semidirect
49. #2811C22semidirect
50. #2806C22semidirect
51. #2799C22semidirect
52. #2799C22semidirect
53. #2792C22semidirect
54. #2792C22semidirect
55. #2792C22semidirect
56. #2792C22semidirect
57. #2791C22semidirect
58. #2791C22semidirect
61. #2788C22semidirect
62. #2788C22semidirect
68. #2774C22semidirect
69. #2774C22semidirect
70. #2774C22semidirect
74. #2768C22semidirect
75. #2768C22semidirect
76. #2768C22semidirect
82. #2755C22semidirect
83. #2755C22semidirect
84. #2755C22semidirect
88. #2742C22semidirect
89. #2734C22semidirect
97. #2729C22semidirect
98. #2729C22semidirect
102. #2720C22semidirect
103. #2720C22semidirect
104. #2720C22semidirect
105. #2713C22semidirect
117. #2677C22semidirect
120. #2666C22semidirect
121. #2666C22semidirect
122. #2666C22semidirect
123. #2666C22semidirect
130. #2612C22semidirect
131. #2612C22semidirect
132. #2608C22semidirect
136. #2607C22semidirect
137. #2607C22semidirect
138. #2607C22semidirect
139. #2606C22semidirect
140. #2605C22semidirect
141. #2605C22semidirect
142. #2590C22semidirect
143. #2590C22semidirect
144. #2590C22semidirect
145. #2590C22semidirect
146. #2590C22semidirect
154. #2589C22semidirect
155. #2589C22semidirect
156. #2589C22semidirect
157. #2588C22semidirect
158. #2588C22semidirect
161. #2586C22semidirect
162. #2586C22semidirect
163. #2586C22semidirect
164. #2586C22semidirect
165. #2585C22semidirect
166. #2584C22semidirect
167. #2583C22semidirect
168. #2581C22semidirect
178. #2574C22semidirect
179. #2570C22semidirect
180. #2570C22semidirect
181. #2570C22semidirect
183. #2567C22semidirect
184. #2565C22semidirect
193. #2552C22semidirect
194. #2551C22semidirect
195. #2551C22semidirect
196. #2550C22semidirect
197. #2550C22semidirect
198. #2550C22semidirect
207. #2520C22semidirect
208. #2520C22semidirect
209. #2520C22semidirect
210. #2520C22semidirect
211. #2520C22semidirect
212. #2511C22semidirect
213. #2508C22semidirect
214. #2507C22semidirect
221. #2492C22semidirect
224. #2473C22semidirect
225. #2473C22semidirect
238. #2465C22semidirect
239. #2462C22semidirect
240. #2462C22semidirect
241. #2462C22semidirect
242. #2462C22semidirect
243. #2462C22semidirect
244. #2462C22semidirect
245. #2462C22semidirect
246. #2462C22semidirect
248. #2453C22semidirect
249. #2451C22semidirect
250. #2451C22semidirect
251. #2451C22semidirect
252. #2451C22semidirect
253. #2451C22semidirect
254. #2451C22semidirect
255. #2451C22semidirect
256. #2451C22semidirect
260. #2446C22semidirect
261. #2446C22semidirect
269. #2440C22semidirect
279. #2434C22semidirect
280. #2434C22semidirect
291. #2423C22semidirect
295. #2399C22semidirect
296. #2399C22semidirect
297. #2399C22semidirect
311. #2370C22semidirect
312. #2370C22semidirect
313. #2369C22semidirect
318. #2365C22semidirect
319. #2365C22semidirect
320. #2365C22semidirect
329. #2355C22semidirect
330. #2355C22semidirect
331. #2355C22semidirect
336. #2345C22semidirect
348. #2331C22semidirect
349. #2331C22semidirect
350. #2330C22semidirect
360. C4×C4⋊Q8C22semidirect
361. C4×C4⋊Q8C22semidirect
366. C4×C22⋊Q8C22semidirect
367. C4×C22⋊Q8C22semidirect
368. C4×C22⋊Q8C22semidirect
372. #2295C22semidirect
382. #551Q8semidirect
1149. #126C2×Q8semidirect
1183. C22⋊Q8C2×Q8semidirect
1208. #117C2×Q8semidirect
1325. C2×C22⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599382
#599312
#595272
#591522
#512202
#510752
#488592
#479612
#477252
#470232
#470182
#451392
#443532
#443352
#435722
#435622
#434942
#431412
#420072
#406272
#399672
#399662
#396602
#396492
#384562
#376882
#365472
#364762
#358392
#358152
#355782
#354022
#346912
#345082
#343152