Finite Group Databasebeta

← #7695633

Subgroups — #7695633

Order 512.

4647 conjugacy classes of subgroups.

The subgroup lattice has 2183 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59927C211yesmaximal, characteristic, complemented
2#59912C212yesmaximal, complemented
3#59897C212yesmaximal, complemented
4#59886C211yesmaximal, characteristic, complemented
5#59886C211yesmaximal, characteristic, complemented
6#59793C212yesmaximal, complemented
7#52290C211yesmaximal, characteristic, complemented
8#52267C211yesmaximal, characteristic, complemented
9C2×#2806C211yesmaximal, characteristic, complemented
10#44639C212yesmaximal, complemented
11#44583C212yesmaximal, complemented
12#44145C212yesmaximal, complemented
13#43565C212yesmaximal, complemented
14#43551C212yesmaximal, complemented
15#43144C212yesmaximal, complemented
16#43135C212yesmaximal, complemented
17#43124C212yesmaximal, complemented
18#43124C212yesmaximal, complemented
19#39751C211yesmaximal, characteristic, complemented
20#39748C212yesmaximal, complemented
21#39710C211yesmaximal, characteristic, complemented
22#39707C212yesmaximal, complemented
23#39705C212yesmaximal, complemented
24#39703C211yesmaximal, characteristic, complemented
25#39615C211yesmaximal, characteristic, complemented
26#39615C212yesmaximal, complemented
27#38458C212yesmaximal, complemented
28#38452C211yesmaximal, characteristic, complemented
29#38446C211yesmaximal, characteristic, complemented
30#38440C212yesmaximal, complemented
31#36387C212yesmaximal, complemented
32#36277C211yesmaximal, characteristic, complemented
33#35951C212yesmaximal, complemented
34#35951C212yesmaximal, complemented
35#35931C212yesmaximal, complemented
36#34334C211yesmaximal, characteristic, complemented
37#34334C212yesmaximal, complemented
38#34325C212yesmaximal
39#34323C211yesmaximal, characteristic
40C2×#553C2211yescharacteristic
41C2×D4×Q8C2212yes—
42C2×D4×Q8C2211yescharacteristic
43#2864C2212yes—
44#2863C2211yescharacteristic
45#2857C2212yes—
46#2857C2211yescharacteristic
47#2855C2211yescharacteristic
48#2851C2212yes—
49#2807C2212yes—
50#2807C2212yes—
51#2806C2212yes—
52#2806C2211yescharacteristic
53#2806C2211yescharacteristic
54#2806C2211yescharacteristic
55#2806C2212yes—
56#2806C2212yes—
57#2806C2212yes—
58#2806C2211yescharacteristic
59#2806C2212yes—
60#2806C2211yescharacteristic
61#2806C2212yes—
62#2805C2211yescharacteristic
63#2805C2211yescharacteristic
64#2805C2211yescharacteristic
65#2804C2211yescharacteristic
66#2802C2212yes—
67#2802C2212yes—
68#2792C2212yes—
69#2791C2212yes—
70#2791C2212yes—
71#2791C2212yes—
72#2791C2212yes—
73#2790C2212yes—
74#2790C2212yes—
75#2788C2212yes—
76#2788C2212yes—
77#2788C2212yes—
78#2784C2212yes—
79#2780C2212yes—
80#2780C2212yes—
81#2774C2212yes—
82#2774C2212yes—
83#2774C2212yes—
84#2768C2212yes—
85#2768C2212yes—
86#2768C2212yes—
87#2768C2212yes—
88#2763C2212yes—
89#2755C2212yes—
90#2755C2212yes—
91#2755C2212yes—
92#2755C2212yes—
93#2748C2212yes—
94#2748C2212yes—
95#2742C2212yes—
96#2734C2212yes—
97#2734C2211yescharacteristic
98#2734C2211yescharacteristic
99#2734C2212yes—
100#2732C2212yes—
101#2732C2211yescharacteristic
102#2732C2211yescharacteristic
103#2732C2212yes—
104#2732C2211yescharacteristic
105#2729C2212yes—
106#2729C2212yes—
107#2729C2212yes—
108#2729C2212yes—
109#2729C2212yes—
110#2729C2212yes—
111#2726C2211yescharacteristic
112#2726C2211yescharacteristic
113#2720C2212yes—
114#2713C2212yes—
115#2713C2212yes—
116#2704C2212yes—
117#2704C2212yes—
118#2692C2212yes—
119#2667C2212yes—
120#2667C2212yes—
121#2666C2212yes—
122#2666C2212yes—
123#2666C2212yes—
124#2665C2212yes—
125#2659C2212yes—
126#2659C2212yes—
127#2659C2212yes—
128#2612C2212yes—
129#2612C2212yes—
130#2612C2212yes—
131#2607C2212yes—
132#2606C2212yes—
133#2606C2212yes—
134#2605C2212yes—
135#2605C2212yes—
136#2590C2212yes—
137#2590C2212yes—
138#2590C2212yes—
139#2590C2212yes—
140#2590C2212yes—
141#2590C2212yes—
142#2589C2212yes—
143#2589C2212yes—
144#2589C2212yes—
145#2589C2212yes—
146#2589C2212yes—
147#2589C2212yes—
148#2588C2212yes—
149#2588C2212yes—
150#2588C2212yes—
151#2588C2212yes—
152#2588C2212yes—
153#2588C2212yes—
154#2587C2212yes—
155#2587C2212yes—
156#2587C2212yes—
157#2587C2212yes—
158#2586C2212yes—
159#2586C2212yes—
160#2586C2212yes—
161#2585C2212yes—
162#2585C2212yes—
163#2585C2212yes—
164#2585C2212yes—
165#2585C2212yes—
166#2585C2212yes—
167#2584C2212yes—
168#2584C2212yes—
169#2583C2212yes—
170#2580C2212yes—
171#2579C2212yes—
172#2579C2212yes—
173#2579C2212yes—
174#2579C2212yes—
175#2579C2212yes—
176#2579C2212yes—
177#2579C2212yes—
178#2574C2212yes—
179#2574C2212yes—
180#2574C2212yes—
181#2574C2212yes—
182#2574C2212yes—
183#2570C2212yes—
184#2569C2212yes—
185#2569C2212yes—
186#2569C2212yes—
187#2569C2212yes—
188#2569C2212yes—
189#2569C2212yes—
190#2564C2212yes—
191#2564C2212yes—
192#2564C2212yes—
193#2564C2212yes—
194#2564C2212yes—
195#2564C2212yes—
196#2564C2212yes—
197#2556C2212yes—
198#2556C2212yes—
199#2556C2212yes—
200#2556C2212yes—
201#2550C2212yes—
202#2550C2212yes—
203#2549C2212yes—
204#2549C2212yes—
205#2522C2212yes—
206#2522C2212yes—
207#2522C2212yes—
208#2522C2212yes—
209#2522C2212yes—
210#2522C2212yes—
211#2520C2212yes—
212#2520C2212yes—
213#2520C2212yes—
214#2520C2212yes—
215#2520C2212yes—
216#2520C2212yes—
217#2511C2211yescharacteristic
218#2509C2212yes—
219#2508C2212yes—
220#2508C2212yes—
221#2506C2212yes—
222#2505C2212yes—
223#2505C2212yes—
224#2505C2212yes—
225#2505C2212yes—
226#2492C2211yescharacteristic
227#2487C2212yes—
228#2487C2212yes—
229#2487C2211yescharacteristic
230#2473C2212yes—
231#2473C2212yes—
232#2465C2212yes—
233#2465C2212yes—
234#2465C2212yes—
235#2462C2212yes—
236#2462C2212yes—
237#2462C2212yes—
238#2462C2212yes—
239#2462C2212yes—
240#2454C2212yes—
241#2454C2212yes—
242#2451C2211yescharacteristic
243#2450C2212yes—
244#2450C2212yes—
245#2450C2212yes—
246#2449C2212yes—
247#2446C2212yes—
248#2446C2212yes—
249#2446C2212yes—
250#2442C2212yes—
251#2442C2212yes—
252#2442C2212yes—
253#2442C2212yes—
254#2442C2212yes—
255#2441C2212yes—
256#2439C2212yes—
257#2438C2212yes—
258#2438C2212yes—
259#2438C2212yes—
260#2434C2212yes—
261#2434C2212yes—
262#2434C2212yes—
263#2423C2212yes—
264#2423C2211yescharacteristic
265#2423C2212yes—
266#2423C2212yes—
267#2417C2212yes—
268#2417C2212yes—
269#2417C2212yes—
270#2409C2212yes—
271#2409C2211yescharacteristic
272#2409C2212yes—
273#2409C2212yes—
274#2409C2212yes—
275#2402C2212yes—
276#2402C2212yes—
277#2399C2212yes—
278#2396C2212yes—
279#2396C2212yes—
280#2396C2212yes—
281C2×#398C2212yes—
282C2×#398C2212yes—
283C2×#395C2212yes—
284#2374C2212yes—
285#2373C2212yes—
286#2373C2212yes—
287#2373C2212yes—
288#2371C2212yes—
289#2370C2211yescharacteristic
290#2370C2212yes—
291#2369C2212yes—
292#2369C2212yes—
293#2369C2212yes—
294#2368C2212yes—
295#2368C2212yes—
296#2368C2212yes—
297#2368C2212yes—
298#2368C2212yes—
299#2368C2212yes—
300#2368C2212yes—
301#2365C2212yes—
302#2365C2211yescharacteristic
303#2364C2212yes—
304#2364C2212yes—
305#2364C2212yes—
306#2363C2211yescharacteristic
307#2361C2212yes—
308#2361C2211yescharacteristic
309#2361C2212yes—
310#2360C2211yescharacteristic
311#2360C2212yes—
312#2360C2212yes—
313#2360C2211yescharacteristic
314#2359C2212yes—
315#2359C2212yes—
316#2355C2211yescharacteristic
317#2355C2212yes—
318#2353C2212yes—
319#2353C2212yes—
320#2353C2212yes—
321#2352C2212yes—
322#2352C2211yescharacteristic
323#2352C2212yes—
324#2349C2212yes—
325#2349C2211yescharacteristic
326#2349C2212yes—
327#2349C2212yes—
328#2349C2212yes—
329D4×C4⋊C4C2212yes—
330D4×C4⋊C4C2211yescharacteristic
331#2346C2211yescharacteristic
332#2345C2211yescharacteristic
333#2345C2212yes—
334#2345C2211yescharacteristic
335#2345C2212yes—
336#2345C2212yes—
337#2343C2212yes—
338Q8×C22⋊C4C2211yescharacteristic
339Q8×C22⋊C4C2212yes—
340Q8×C22⋊C4C2211yescharacteristic
341Q8×C22⋊C4C2211yescharacteristic
342#2336C2212yes—
343#2335C2212yes—
344#2335C2212yes—
345#2334C2212yes—
346#2334C2212yes—
347#2333C2212yes—
348#2331C2212yes—
349#2331C2212yes—
350#2331C2212yes—
351#2329C2212yes—
352#2329C2212yes—
353#2329C2212yes—
354#2329C2212yes—
355#2329C2212yes—
356#2329C2212yes—
357#2325C2212yes—
358#2325C2212yes—
359#2325C2212yes—
360C4×C4⋊Q8C2211yescharacteristic
361C4×C4⋊Q8C2212yes—
362C4×#125C2211yescharacteristic
363C4×#125C2212yes—
364C4×#126C2212yes—
365C4×C22⋊Q8C2212yes—
366C4×C22⋊Q8C2211yescharacteristic
367C4×C22⋊Q8C2212yes—
368C4×C22⋊Q8C2211yescharacteristic
369C4×C22⋊Q8C2211yescharacteristic
370C4×#123C2212yes—
371C4×#121C2211yescharacteristic
372C4×#121C2211yescharacteristic
373C4×#121C2212yes—
374#2298C2212yes—
375#2296C2212yes—
376#2296C2211yescharacteristic
377#2295C2211yescharacteristic
378#2295C2211yescharacteristic
379#2295C2212yes—
380C2×#391C2212yes—
381C2×#391C2212yes—
382C2×#391C2211yescharacteristic
383C2×#391C2211yescharacteristic
384C2×#391C2211yescharacteristic
385#2293C2211yescharacteristic
386C2×#389C2211yescharacteristic
387C2×#389C2212yes—
388#2290C2212yes—
389C2×#387C2212yes—
390#2275C2212yes—
391#2275C2212yes—
392#2275C2212yes—
393C42×D4C2211yescharacteristic
394C42×D4C2212yes—
395C23×Q8C2312yes—
396C23×Q8C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398C23×Q8C2311yescharacteristic
399#553Q8116yescomplemented
400D4×Q8—216no—
401D4×Q8—28no—
402C2×C4⋊Q8C2311yescharacteristic
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2311yescharacteristic
409C2×#126C2312yes—
410C2×#125C2312yes—
411C2×#125C2312yes—
412C2×#125C2312yes—
413C2×#125C2312yes—
414C2×#125C2312yes—
415C2×#125C2311yescharacteristic
416C2×#123C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2311yescharacteristic
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2311yescharacteristic
468C2×#117C2311yescharacteristic
469C22×C4⋊C4C2312yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2312yes—
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2311yescharacteristic
477C22×C4⋊C4C2311yescharacteristic
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C42C2312yes—
481C22×C42C2311yescharacteristic
482C22×C42C2312yes—
483C22×C42C2311yescharacteristic
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#400C2312yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2312yes—
509#400C2312yes—
510#400C2312yes—
511#400C2312yes—
512#400C2312yes—
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2312yes—
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2312yes—
523#399C2312yes—
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#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#396C2312yes—
591#396C2312yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#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#395C2312yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2312yes—
631#393C2312yes—
632#393C2312yes—
633#393C2312yes—
634#393C2312yes—
635#393C2312yes—
636#393C2312yes—
637#393C2312yes—
638#393C2312yes—
639#393C2312yes—
640#391C2312yes—
641#391C2311yescharacteristic
642#391C2312yes—
643#391C2311yescharacteristic
644#391C2311yescharacteristic
645#391C2311yescharacteristic
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2311yescharacteristic
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2311yescharacteristic
662#391C2311yescharacteristic
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2311yescharacteristic
669#391C2312yes—
670#391C2312yes—
671#391C2312yes—
672#391C2311yescharacteristic
673#391C2312yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#391C2312yes—
678#391C2311yescharacteristic
679#391C2311yescharacteristic
680#391C2312yes—
681#391C2311yescharacteristic
682#391C2312yes—
683#391C2312yes—
684#391C2312yes—
685#391C2311yescharacteristic
686#391C2312yes—
687#391C2311yescharacteristic
688#391C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2311yescharacteristic
693#391C2311yescharacteristic
694#390C2312yes—
695#390C2312yes—
696#390C2312yes—
697#390C2311yescharacteristic
698#390C2311yescharacteristic
699#389C2312yes—
700#389C2311yescharacteristic
701#389C2311yescharacteristic
702#389C2312yes—
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#389C2311yescharacteristic
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#389C2311yescharacteristic
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#389C2311yescharacteristic
750#389C2312yes—
751#389C2312yes—
752#389C2312yes—
753#389C2312yes—
754#389C2312yes—
755#389C2312yes—
756#389C2312yes—
757#389C2311yescharacteristic
758#389C2312yes—
759#389C2312yes—
760#389C2312yes—
761#389C2311yescharacteristic
762#389C2311yescharacteristic
763#389C2311yescharacteristic
764#389C2311yescharacteristic
765#389C2312yes—
766#389C2311yescharacteristic
767#389C2312yes—
768#389C2311yescharacteristic
769#389C2311yescharacteristic
770#389C2311yescharacteristic
771#389C2312yes—
772#389C2312yes—
773#389C2311yescharacteristic
774#389C2311yescharacteristic
775#389C2312yes—
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#387C2312yes—
804#387C2312yes—
805#387C2312yes—
806#387C2312yes—
807#387C2312yes—
808#387C2312yes—
809#387C2312yes—
810#387C2312yes—
811#387C2312yes—
812#387C2312yes—
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#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#386C2312yes—
920#386C2312yes—
921#386C2312yes—
922#386C2312yes—
923#386C2312yes—
924#386C2312yes—
925#386C2312yes—
926#386C2312yes—
927#386C2312yes—
928#386C2312yes—
929#386C2312yes—
930#386C2312yes—
931#386C2312yes—
932#386C2312yes—
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#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#384C2312yes—
985#384C2311yescharacteristic
986#384C2312yes—
987#384C2311yescharacteristic
988#383C2312yes—
989#383C2312yes—
990#382C2311yescharacteristic
991#382C2312yes—
992#382C2312yes—
993#382C2312yes—
994#382C2312yes—
995#382C2312yes—
996#382C2312yes—
997#382C2312yes—
998#382C2312yes—
999#382C2312yes—
1000#382C2312yes—
1001#381C2312yes—
1002#381C2312yes—
1003#380C2312yes—
1004#380C2312yes—
1005#380C2311yescharacteristic
1006#380C2311yescharacteristic
1007#380C2312yes—
1008#380C2312yes—
1009#380C2312yes—
1010#380C2312yes—
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2311yescharacteristic
1016#380C2311yescharacteristic
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2311yescharacteristic
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2311yescharacteristic
1033#380C2312yes—
1034#380C2311yescharacteristic
1035#380C2312yes—
1036#380C2311yescharacteristic
1037C4×C4⋊C4C2312yes—
1038C4×C4⋊C4C2312yes—
1039C4×C4⋊C4C2312yes—
1040C4×C4⋊C4C2311yescharacteristic
1041C4×C4⋊C4C2312yes—
1042C4×C4⋊C4C2312yes—
1043C4×C4⋊C4C2312yes—
1044C4×C4⋊C4C2311yescharacteristic
1045C4×C4⋊C4C2312yes—
1046C4×C4⋊C4C2312yes—
1047C4×C4⋊C4C2312yes—
1048C4×C4⋊C4C2311yescharacteristic
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⋊C4C2311yescharacteristic
1061C4×C4⋊C4C2312yes—
1062C4×C4⋊C4C2312yes—
1063C4×C4⋊C4C2312yes—
1064C4×C4⋊C4C2312yes—
1065C4×C4⋊C4C2312yes—
1066C4×C4⋊C4C2312yes—
1067C4×C4⋊C4C2312yes—
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2311yescharacteristic
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2312yes—
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2312yes—
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091C4×C22⋊C4C2311yescharacteristic
1092C4×C22⋊C4C2312yes—
1093C4×C22⋊C4C2312yes—
1094C4×C22⋊C4C2312yes—
1095C4×C22⋊C4C2312yes—
1096C4×C22⋊C4C2312yes—
1097C4×C22⋊C4C2312yes—
1098C4×C22⋊C4C2312yes—
1099C4×C22⋊C4C2312yes—
1100C4×C22⋊C4C2312yes—
1101C4×C22⋊C4C2312yes—
1102C4×C22⋊C4C2312yes—
1103C4×C22⋊C4C2311yescharacteristic
1104C4×C22⋊C4C2312yes—
1105C4×C22⋊C4C2312yes—
1106C4×C22⋊C4C2312yes—
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2311yescharacteristic
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2311yescharacteristic
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2311yescharacteristic
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2311yescharacteristic
1124#376C2312yes—
1125#376C2312yes—
1126#376C2312yes—
1127#376C2312yes—
1128#376C2312yes—
1129C2×#95C2312yes—
1130C2×#95C2312yes—
1131C2×#95C2312yes—
1132C2×#95C2312yes—
1133C2×#95C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C43C2312yes—
1144C43C2311yescharacteristic
1145C22×Q8—28no—
1146C22×Q8—24no—
1147C22×Q8—42no—
1148C22×Q8—42no—
1149C22×Q8—81no—
1150C22×Q8—81no—
1151C22×Q8—81no—
1152C22×Q8—82no—
1153C22×Q8—81no—
1154C22×Q8—81no—
1155C22×Q8—82no—
1156C22×Q8#4118yes—
1157C22×Q8C2411yescharacteristic
1158C22×Q8C2412yes—
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2412yes—
1162C22×Q8C2412yes—
1163C22×Q8C2412yes—
1164C22×Q8C2412yes—
1165C22×Q8C2411yescharacteristic
1166C22×Q8C2411yescharacteristic
1167C22×Q8C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2411yescharacteristic
1170C22×D4C2412yes—
1171C22×D4C2411yescharacteristic
1172C23×C4C2411yescharacteristic
1173C23×C4C2412yes—
1174C23×C4C2412yes—
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2411yescharacteristic
1178C23×C4C2412yes—
1179C23×C4C2411yescharacteristic
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2411yescharacteristic
1189C23×C4C2412yes—
1190C23×C4C2411yescharacteristic
1191C23×C4C2412yes—
1192C23×C4C2411yescharacteristic
1193C4⋊Q8—24no—
1194C4⋊Q8—28no—
1195C4⋊Q8—28no—
1196C4⋊Q8—28no—
1197C4⋊Q8—28no—
1198C4⋊Q8—82no—
1199C4⋊Q8—81no—
1200#126C2×Q8116yescomplemented
1201#125—44no—
1202#125—44no—
1203#125—82no—
1204#125—82no—
1205#125—82no—
1206#125C2×Q818yescomplemented
1207#123C2×Q8116yescomplemented
1208C22⋊Q8—24no—
1209C22⋊Q8—28no—
1210C22⋊Q8—28no—
1211C22⋊Q8—28no—
1212C22⋊Q8—28no—
1213C22⋊Q8—28no—
1214C22⋊Q8—24no—
1215C22⋊Q8—28no—
1216C22⋊Q8—28no—
1217C22⋊Q8—28no—
1218C22⋊Q8—44no—
1219C22⋊Q8—42no—
1220C22⋊Q8—82no—
1221C22⋊Q8—82no—
1222C22⋊Q8—82no—
1223C22⋊Q8—82no—
1224C22⋊Q8—81no—
1225#121C2×Q8116yescomplemented
1226#121C2×Q818yescomplemented
1227#121C2×Q818yescomplemented
1228C4×Q8—24no—
1229C4×Q8—28no—
1230C4×Q8—42no—
1231C4×Q8—81no—
1232C4×Q8—82no—
1233C4×Q8—81no—
1234C4×Q8—81no—
1235C4×Q8—81no—
1236C4×Q8—81no—
1237C4×Q8—82no—
1238C4×D4—28no—
1239C4×D4—24no—
1240C4×D4—28no—
1241C4×D4—28no—
1242C4×D4—28no—
1243C4×D4—44no—
1244C4×D4—42no—
1245C4×D4—44no—
1246C4×D4—44no—
1247C4×D4—44no—
1248C4×D4—44no—
1249C4×D4—82no—
1250C4×D4—81no—
1251C4×D4—81no—
1252C4×D4—82no—
1253C4×D4C2×Q8116yescomplemented
1254C4×D4C2×Q818yescomplemented
1255C4×D4C2×Q818yescomplemented
1256#117—44no—
1257#117—82no—
1258#117—81no—
1259#117C2×Q818yescomplemented
1260C2×C4⋊C4—44no—
1261C2×C4⋊C4—42no—
1262C2×C4⋊C4—44no—
1263C2×C4⋊C4—44no—
1264C2×C4⋊C4—81no—
1265C2×C4⋊C4—82no—
1266C2×C4⋊C4—82no—
1267C2×C4⋊C4—81no—
1268C2×C4⋊C4—82no—
1269C2×C4⋊C4—81no—
1270C2×C4⋊C4C2×Q818yescomplemented
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2411yescharacteristic
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2411yescharacteristic
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2412yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2412yes—
1319C2×C4⋊C4C2412yes—
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2411yescharacteristic
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2411yescharacteristic
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2411yescharacteristic
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2411yescharacteristic
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2411yescharacteristic
1353C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2411yescharacteristic
1377C2×C4⋊C4C2411yescharacteristic
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2411yescharacteristic
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2411yescharacteristic
1382C2×C4⋊C4C2412yes—
1383C2×C22⋊C4C2412yes—
1384C2×C22⋊C4C2412yes—
1385C2×C22⋊C4C2411yescharacteristic
1386C2×C22⋊C4C2411yescharacteristic
1387C2×C22⋊C4C2412yes—
1388C2×C22⋊C4C2412yes—
1389C2×C22⋊C4C2412yes—
1390C2×C22⋊C4C2412yes—
1391C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2411yescharacteristic
1423C2×C22⋊C4C2412yes—
1424C2×C42—82no—
1425C2×C42—81no—
1426C2×C42—81no—
1427C2×C42—82no—
1428C2×C42C2411yescharacteristic
1429C2×C42C2412yes—
1430C2×C42C2411yescharacteristic
1431C2×C42C2412yes—
1432C2×C42C2412yes—
1433C2×C42C2412yes—
1434C2×C42C2412yes—
1435C2×C42C2412yes—
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2412yes—
1440C2×C42C2411yescharacteristic
1441C2×C42C2412yes—
1442C2×C42C2412yes—
1443C2×C42C2412yes—
1444C2×C42C2412yes—
1445C2×C42C2412yes—
1446C2×C42C2411yescharacteristic
1447C2×C42C2411yescharacteristic
1448C2×C42C2411yescharacteristic
1449C2×C42C2412yes—
1450C2×C42C2412yes—
1451C2×C42C2412yes—
1452C2×C42C2412yes—
1453C2×C42C2412yes—
1454C2×C42C2412yes—
1455C2×C42C2411yescharacteristic
1456C2×C42C2411yescharacteristic
1457C2×C42C2412yes—
1458C2×C42C2411yescharacteristic
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2411yescharacteristic
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2411yescharacteristic
1466C2×C42C2412yes—
1467C2×C42C2411yescharacteristic
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2411yescharacteristic
1472#95C2412yes—
1473#95C2412yes—
1474#95C2412yes—
1475#95C2411yescharacteristic
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#95C2411yescharacteristic
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#95C2411yescharacteristic
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2411yescharacteristic
1539#95C2411yescharacteristic
1540#95C2412yes—
1541#95C2412yes—
1542#95C2411yescharacteristic
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594C24C2512yes—
1595C24C2511yescharacteristic
1596C24C2511yescharacteristic
1597C2×Q8—22no—
1598C2×Q8—24no—
1599C2×Q8—24no—
1600C2×Q8—24no—
1601C2×Q8—24no—
1602C2×Q8—22no—
1603C2×Q8—22no—
1604C2×Q8—41no—
1605C2×Q8—41no—
1606C2×Q8—41no—
1607C2×Q8—42no—
1608C2×Q8—41no—
1609C2×Q8—42no—
1610C2×Q8—41no—
1611C2×Q8—41no—
1612C2×Q8—42no—
1613C2×Q8—41no—
1614C2×Q8—41no—
1615C2×Q8—42no—
1616C2×Q8—41no—
1617C2×Q8—42no—
1618C2×Q8—42no—
1619C2×Q8—42no—
1620C2×Q8—42no—
1621C2×Q8—42no—
1622C2×Q8—42no—
1623C2×Q8—42no—
1624C2×Q8—41no—
1625C2×Q8—42no—
1626C2×Q8—42no—
1627C2×Q8—88no—
1628C2×Q8—816no—
1629C2×Q8—88no—
1630C2×Q8—88no—
1631C2×Q8C2×#4114yes—
1632C2×Q8C2×#4118yes—
1633C2×Q8C2×#4114yes—
1634C2×D4—24no—
1635C2×D4—22no—
1636C2×D4—24no—
1637C2×D4—22no—
1638C2×D4—42no—
1639C2×D4—42no—
1640C2×D4—41no—
1641C2×D4—41no—
1642C2×D4C22×Q818yes—
1643C2×D4C22×Q814yes—
1644C2×D4C22×Q814yes—
1645C2×D4C22×Q818yes—
1646C22×C4—22no—
1647C22×C4—24no—
1648C22×C4—24no—
1649C22×C4—24no—
1650C22×C4—24no—
1651C22×C4—22no—
1652C22×C4—24no—
1653C22×C4—22no—
1654C22×C4—24no—
1655C22×C4—24no—
1656C22×C4—24no—
1657C22×C4—22no—
1658C22×C4—41no—
1659C22×C4—42no—
1660C22×C4—41no—
1661C22×C4—42no—
1662C22×C4—41no—
1663C22×C4—42no—
1664C22×C4—41no—
1665C22×C4—41no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—41no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—41no—
1672C22×C4—42no—
1673C22×C4—41no—
1674C22×C4—41no—
1675C22×C4—42no—
1676C22×C4—42no—
1677C22×C4—41no—
1678C22×C4—42no—
1679C22×C4—42no—
1680C22×C4—42no—
1681C22×C4—42no—
1682C22×C4—41no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—42no—
1686C22×C4—42no—
1687C22×C4—42no—
1688C22×C4—42no—
1689C22×C4—42no—
1690C22×C4—42no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—42no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—42no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4C22×Q818yes—
1704C22×C4C22×Q814yes—
1705C22×C4C22×Q814yes—
1706C22×C4C22×Q818yes—
1707C22×C4C2×#4118yes—
1708C22×C4C2×#4114yes—
1709C22×C4C2512yes—
1710C22×C4C2512yes—
1711C22×C4C2512yes—
1712C22×C4C2511yescharacteristic
1713C22×C4C2512yes—
1714C22×C4C2511yescharacteristic
1715C22×C4C2512yes—
1716C22×C4C2511yescharacteristic
1717C22×C4C2512yes—
1718C22×C4C2512yes—
1719C22×C4C2512yes—
1720C22×C4C2512yes—
1721C22×C4C2512yes—
1722C22×C4C2512yes—
1723C22×C4C2511yescharacteristic
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2512yes—
1728C22×C4C2512yes—
1729C22×C4C2511yescharacteristic
1730C22×C4C2512yes—
1731C22×C4C2512yes—
1732C22×C4C2511yescharacteristic
1733C22×C4C2511yescharacteristic
1734C22×C4C2511yescharacteristic
1735C22×C4C2511yescharacteristic
1736C22×C4C2512yes—
1737C22×C4C2511yescharacteristic
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2511yescharacteristic
1742C22×C4C2512yes—
1743C22×C4C2511yescharacteristic
1744C22×C4C2511yescharacteristic
1745C4⋊C4—24no—
1746C4⋊C4—22no—
1747C4⋊C4—24no—
1748C4⋊C4—24no—
1749C4⋊C4—24no—
1750C4⋊C4—24no—
1751C4⋊C4—24no—
1752C4⋊C4—24no—
1753C4⋊C4—22no—
1754C4⋊C4—24no—
1755C4⋊C4—24no—
1756C4⋊C4—24no—
1757C4⋊C4—24no—
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—24no—
1765C4⋊C4—24no—
1766C4⋊C4—22no—
1767C4⋊C4—24no—
1768C4⋊C4—22no—
1769C4⋊C4—42no—
1770C4⋊C4—42no—
1771C4⋊C4—41no—
1772C4⋊C4—41no—
1773C4⋊C4—42no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—42no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—41no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—41no—
1786C4⋊C4—42no—
1787C4⋊C4—41no—
1788C4⋊C4—41no—
1789C4⋊C4—42no—
1790C4⋊C4—41no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—41no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—42no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—42no—
1812C4⋊C4—41no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—41no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—41no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—41no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—41no—
1840C4⋊C4—42no—
1841C4⋊C4—42no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—42no—
1847C4⋊C4—42no—
1848C4⋊C4—42no—
1849C4⋊C4—42no—
1850C4⋊C4C22×Q814yes—
1851C4⋊C4C22×Q814yes—
1852C4⋊C4C22×Q818yes—
1853C4⋊C4C22×Q814yes—
1854C4⋊C4C22×Q818yes—
1855C4⋊C4C22×Q814yes—
1856C4⋊C4C22×Q818yes—
1857C22⋊C4—22no—
1858C22⋊C4—24no—
1859C22⋊C4—24no—
1860C22⋊C4—24no—
1861C22⋊C4—24no—
1862C22⋊C4—22no—
1863C22⋊C4—24no—
1864C22⋊C4—22no—
1865C22⋊C4—24no—
1866C22⋊C4—24no—
1867C22⋊C4—24no—
1868C22⋊C4—24no—
1869C22⋊C4—24no—
1870C22⋊C4—42no—
1871C22⋊C4—42no—
1872C22⋊C4—42no—
1873C22⋊C4—42no—
1874C22⋊C4—42no—
1875C22⋊C4—42no—
1876C22⋊C4—42no—
1877C22⋊C4—42no—
1878C22⋊C4—42no—
1879C22⋊C4—41no—
1880C22⋊C4—42no—
1881C22⋊C4—42no—
1882C22⋊C4—42no—
1883C22⋊C4—42no—
1884C22⋊C4—42no—
1885C22⋊C4—42no—
1886C22⋊C4—42no—
1887C22⋊C4—42no—
1888C22⋊C4—42no—
1889C22⋊C4—42no—
1890C22⋊C4—42no—
1891C22⋊C4—42no—
1892C22⋊C4C22×Q818yes—
1893C22⋊C4C22×Q814yes—
1894C22⋊C4C22×Q818yes—
1895C22⋊C4C22×Q818yes—
1896C22⋊C4C22×Q814yes—
1897C22⋊C4C22×Q818yes—
1898C42—24no—
1899C42—24no—
1900C42—24no—
1901C42—24no—
1902C42—22no—
1903C42—22no—
1904C42—42no—
1905C42—41no—
1906C42—42no—
1907C42—42no—
1908C42—41no—
1909C42—41no—
1910C42—41no—
1911C42—41no—
1912C42—42no—
1913C42—41no—
1914C42—42no—
1915C42—42no—
1916C42—41no—
1917C42—42no—
1918C42—42no—
1919C42—42no—
1920C42—42no—
1921C42—41no—
1922C42—42no—
1923C42—42no—
1924C42—42no—
1925C42—41no—
1926C42—42no—
1927C42—42no—
1928C42—42no—
1929C42—42no—
1930C42—42no—
1931C42—42no—
1932C42—42no—
1933C42—42no—
1934C42—42no—
1935C42—41no—
1936C42—42no—
1937C42—42no—
1938C42—42no—
1939C42—42no—
1940C42C22×Q818yes—
1941C42C22×Q814yes—
1942C23—21no—
1943C23—21no—
1944C23—21no—
1945C23—21no—
1946C23—22no—
1947C23—21no—
1948C23—22no—
1949C23—21no—
1950C23—22no—
1951C23—21no—
1952C23—21no—
1953C23—22no—
1954C23—22no—
1955C23—21no—
1956C23—22no—
1957C23—21no—
1958C23C23×Q814yes—
1959C23C23×Q812yes—
1960C23C23×Q812yes—
1961C23C22×#4112yes—
1962C23#58512yes—
1963C23C2611yescharacteristic
1964Q8—48no—
1965Q8—44no—
1966Q8—44no—
1967Q8—48no—
1968Q8—44no—
1969Q8—44no—
1970Q8—84no—
1971Q8—84no—
1972Q8—84no—
1973Q8—82no—
1974Q8—84no—
1975D4—216no—
1976D4—28no—
1977D4—48no—
1978D4—44no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—21no—
1982C2×C4—21no—
1983C2×C4—22no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—22no—
1995C2×C4—21no—
1996C2×C4—22no—
1997C2×C4—21no—
1998C2×C4—21no—
1999C2×C4—22no—
2000C2×C4—21no—
2001C2×C4—22no—
2002C2×C4—21no—
2003C2×C4—21no—
2004C2×C4—21no—
2005C2×C4—21no—
2006C2×C4—22no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—22no—
2010C2×C4—21no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—21no—
2016C2×C4—21no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—21no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—21no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—22no—
2035C2×C4—22no—
2036C2×C4—21no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—21no—
2040C2×C4—22no—
2041C2×C4—21no—
2042C2×C4—22no—
2043C2×C4—21no—
2044C2×C4—21no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—21no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—22no—
2059C2×C4—22no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—21no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—21no—
2067C2×C4—21no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—48no—
2075C2×C4—48no—
2076C2×C4—44no—
2077C2×C4—44no—
2078C2×C4—48no—
2079C2×C4—44no—
2080C2×C4—44no—
2081C2×C4—44no—
2082C2×C4—48no—
2083C2×C4—82no—
2084C2×C4—84no—
2085C2×C4—84no—
2086C2×C4—84no—
2087C2×C4—84no—
2088C2×C4—84no—
2089C2×C4—84no—
2090C2×C4—84no—
2091C2×C4—84no—
2092C2×C4—162no—
2093C2×C4—162no—
2094C2×C4—162no—
2095C2×C4C23×Q812yes—
2096C2×C4C23×Q814yes—
2097C2×C4C23×Q812yes—
2098C2×C4C23×Q814yes—
2099C2×C4C23×Q812yes—
2100C2×C4C23×Q812yes—
2101C2×C4C23×Q812yes—
2102C2×C4C23×Q814yes—
2103C2×C4C22×#4114yes—
2104C2×C4C22×#4112yes—
2105C2×C4C22×#4114yes—
2106C2×C4C22×#4112yes—
2107C2×C4#58512yes—
2108C22—22no—
2109C22—22no—
2110C22—22no—
2111C22—22no—
2112C22—22no—
2113C22—22no—
2114C22—24no—
2115C22—22no—
2116C22—22no—
2117C22—24no—
2118C22—24no—
2119C22—22no—
2120C22—42no—
2121C22—41no—
2122C22—42no—
2123C22—41no—
2124C22—41no—
2125C22—42no—
2126C22—41no—
2127C22—42no—
2128C22Q8×#4114yes—
2129C22C24×Q811yescharacteristic
2130C22C23×#4111yescharacteristic
2131C22C2×#58511yescharacteristic
2132C22C2×#58511yescharacteristic
2133C22H(7,𝔽2)11yescharacteristic
2134C22H(7,𝔽2)11yescharacteristic
2135C222−1+611yescharacteristic
2136C4—22no—
2137C4—24no—
2138C4—24no—
2139C4—24no—
2140C4—22no—
2141C4—24no—
2142C4—22no—
2143C4—22no—
2144C4—22no—
2145C4—22no—
2146C4—22no—
2147C4—24no—
2148C4—22no—
2149C4—41no—
2150C4—42no—
2151C4—42no—
2152C4—42no—
2153C4—42no—
2154C4—41no—
2155C4—42no—
2156C4—42no—
2157C4—42no—
2158C4—42no—
2159C4—42no—
2160C4—41no—
2161C4—42no—
2162C4—42no—
2163C4—42no—
2164C4—42no—
2165C4—41no—
2166C4—42no—
2167C4—42no—
2168C4—41no—
2169C4—42no—
2170C4—42no—
2171C4—42no—
2172C2—24no—
2173C2—44no—
2174C2—42no—
2175C2C2×Q8×#4111yescharacteristic
2176C2#6284411yescharacteristic
2177C2#6285411yescharacteristic
2178C2#6290611yescharacteristic
2179C2#6298911yescharacteristic
2180C2#6300711yescharacteristic
2181C2#6305011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#553C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59927C2semidirect
2. #59912C2semidirect
3. #59897C2semidirect
4. #59886C2semidirect
5. #59886C2semidirect
6. #59793C2semidirect
7. #52290C2semidirect
8. #52267C2semidirect
9. C2×#2806C2semidirect
10. #44639C2semidirect
11. #44583C2semidirect
12. #44145C2semidirect
13. #43565C2semidirect
14. #43551C2semidirect
15. #43144C2semidirect
16. #43135C2semidirect
17. #43124C2semidirect
18. #43124C2semidirect
19. #39751C2semidirect
20. #39748C2semidirect
21. #39710C2semidirect
22. #39707C2semidirect
23. #39705C2semidirect
24. #39703C2semidirect
25. #39615C2semidirect
26. #39615C2semidirect
27. #38458C2semidirect
28. #38452C2semidirect
29. #38446C2semidirect
30. #38440C2semidirect
31. #36387C2semidirect
32. #36277C2semidirect
33. #35951C2semidirect
34. #35951C2semidirect
35. #35931C2semidirect
36. #34334C2semidirect
37. #34334C2semidirect
399. #553Q8semidirect
1200. #126C2×Q8semidirect
1206. #125C2×Q8semidirect
1207. #123C2×Q8semidirect
1225. #121C2×Q8semidirect
1226. #121C2×Q8semidirect
1227. #121C2×Q8semidirect
1253. C4×D4C2×Q8semidirect
1254. C4×D4C2×Q8semidirect
1255. C4×D4C2×Q8semidirect
1259. #117C2×Q8semidirect
1270. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599272
#599122
#598972
#598862
#597932
#522902
#522672
C2×#28062
#446392
#445832
#441452
#435652
#435512
#431442
#431352
#431242
#397512
#397482
#397102
#397072
#397052
#397032
#396152
#384582
#384522
#384462
#384402
#363872
#362772
#359512
#359312
#343342
#343252
#343232