Finite Group Databasebeta

← #8070467

Subgroups — #8070467

Order 512.

4671 conjugacy classes of subgroups.

The subgroup lattice has 2130 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59921C212yesmaximal, complemented
2#59912C212yesmaximal, complemented
3#59886C212yesmaximal, complemented
4#59793C212yesmaximal, complemented
5#59465C211yesmaximal, characteristic, complemented
6#52036C212yesmaximal, complemented
7#51596C212yesmaximal, complemented
8#51592C212yesmaximal, complemented
9#51218C212yesmaximal, complemented
10#51076C212yesmaximal, complemented
11#48860C212yesmaximal, complemented
12#48844C212yesmaximal, complemented
13#47987C212yesmaximal, complemented
14#47966C212yesmaximal, complemented
15#46847C211yesmaximal, characteristic, complemented
16#46844C212yesmaximal, complemented
17#46434C211yesmaximal, characteristic, complemented
18#46433C212yesmaximal, complemented
19#44879C212yesmaximal, complemented
20#44449C211yesmaximal, characteristic, complemented
21#43566C212yesmaximal, complemented
22#43562C212yesmaximal, complemented
23#43554C212yesmaximal, complemented
24#43550C212yesmaximal, complemented
25#43550C212yesmaximal, complemented
26#43512C212yesmaximal, complemented
27#43494C211yesmaximal, characteristic, complemented
28#43003C212yesmaximal, complemented
29#39699C212yesmaximal, complemented
30#39690C212yesmaximal, complemented
31#39657C212yesmaximal, complemented
32#39618C211yesmaximal, characteristic, complemented
33#39615C212yesmaximal, complemented
34#34520C211yesmaximal, characteristic
35#34517C212yesmaximal
36C2×#560C2211yescharacteristic
37C2×#554C2211yescharacteristic
38C2×D4×Q8C2212yes—
39C2×D4×Q8C2211yescharacteristic, complemented
40C2×#544C2211yescharacteristic, complemented
41C2×#543C2211yescharacteristic
42#2862C2211yescharacteristic, complemented
43#2857C2212yescomplemented
44#2842C2211yescharacteristic
45#2841C2211yescharacteristic, complemented
46#2807C2212yes—
47#2807C2212yes—
48#2807C2211yescharacteristic
49#2807C2211yescharacteristic, complemented
50#2806C2212yescomplemented
51#2805C2212yescomplemented
52#2804C2212yes—
53#2804C2212yes—
54#2802C2212yescomplemented
55#2792C2212yescomplemented
56#2791C2212yescomplemented
57#2791C2212yescomplemented
58#2790C2212yes—
59#2790C2212yes—
60#2788C2212yes—
61#2788C2212yes—
62#2788C2212yescomplemented
63#2788C2212yescomplemented
64#2784C2212yes—
65#2784C2212yes—
66#2784C2212yes—
67#2784C2212yes—
68#2784C2212yes—
69#2784C2211yescharacteristic, complemented
70#2784C2212yescomplemented
71#2784C2211yescharacteristic, complemented
72#2780C2212yes—
73#2780C2212yes—
74#2780C2212yes—
75#2780C2212yescomplemented
76#2774C2212yescomplemented
77#2774C2212yescomplemented
78#2774C2212yescomplemented
79#2768C2212yes—
80#2768C2212yes—
81#2768C2212yes—
82#2763C2212yes—
83#2763C2212yes—
84#2755C2212yescomplemented
85#2755C2212yescomplemented
86#2748C2212yes—
87#2748C2212yes—
88#2748C2212yes—
89#2742C2212yes—
90#2742C2212yes—
91#2742C2211yescharacteristic
92#2742C2212yescomplemented
93#2734C2212yescomplemented
94#2734C2212yescomplemented
95#2734C2212yescomplemented
96#2732C2212yes—
97#2732C2212yes—
98#2732C2212yes—
99#2732C2212yes—
100#2732C2212yescomplemented
101#2732C2212yescomplemented
102#2729C2212yes—
103#2729C2212yes—
104#2729C2212yes—
105#2729C2212yes—
106#2729C2212yes—
107#2729C2212yescomplemented
108#2729C2212yescomplemented
109#2729C2212yescomplemented
110#2720C2212yes—
111#2720C2212yes—
112#2720C2212yes—
113#2713C2212yescomplemented
114#2713C2212yescomplemented
115#2713C2212yescomplemented
116#2713C2212yescomplemented
117#2704C2212yes—
118#2704C2212yes—
119#2704C2212yescomplemented
120#2704C2212yescomplemented
121#2692C2212yes—
122#2692C2212yes—
123#2692C2212yes—
124#2692C2212yes—
125#2692C2212yes—
126#2692C2212yes—
127#2692C2212yes—
128#2692C2212yes—
129#2692C2212yes—
130#2692C2212yescomplemented
131#2692C2212yescomplemented
132#2692C2212yescomplemented
133#2683C2212yes—
134#2683C2212yescomplemented
135#2677C2212yes—
136#2677C2212yes—
137#2677C2212yes—
138#2677C2211yescharacteristic, complemented
139#2666C2212yescomplemented
140#2666C2212yescomplemented
141#2665C2212yescomplemented
142#2665C2212yescomplemented
143#2660C2212yescomplemented
144#2659C2212yescomplemented
145#2659C2212yescomplemented
146#2629C2212yescomplemented
147#2628C2212yescomplemented
148#2607C2211yescharacteristic, complemented
149#2606C2212yescomplemented
150#2605C2212yescomplemented
151#2590C2212yescomplemented
152#2589C2212yes—
153#2589C2212yes—
154#2589C2212yes—
155#2589C2212yes—
156#2589C2212yes—
157#2589C2212yescomplemented
158#2588C2212yescomplemented
159#2588C2212yescomplemented
160#2588C2212yescomplemented
161#2587C2212yes—
162#2586C2212yescomplemented
163#2586C2212yescomplemented
164#2585C2212yescomplemented
165#2585C2212yescomplemented
166#2584C2212yescomplemented
167#2579C2212yes—
168#2579C2212yescomplemented
169#2574C2212yes—
170#2574C2212yes—
171#2574C2212yes—
172#2574C2212yes—
173#2574C2212yes—
174#2574C2212yescomplemented
175#2574C2212yescomplemented
176#2571C2211yescharacteristic, complemented
177#2569C2212yescomplemented
178#2569C2212yescomplemented
179#2569C2212yescomplemented
180#2567C2212yescomplemented
181#2566C2212yes—
182#2566C2212yescomplemented
183#2564C2212yes—
184#2564C2212yes—
185#2564C2212yes—
186#2564C2212yes—
187#2564C2211yescharacteristic
188#2564C2211yescharacteristic
189#2564C2212yes—
190#2564C2212yescomplemented
191#2564C2212yescomplemented
192#2564C2212yescomplemented
193#2563C2212yes—
194#2563C2212yes—
195#2563C2212yescomplemented
196#2563C2211yescharacteristic, complemented
197#2556C2212yes—
198#2556C2212yes—
199#2556C2212yes—
200#2556C2212yes—
201#2556C2212yes—
202#2556C2212yescomplemented
203#2551C2211yescharacteristic, complemented
204#2551C2212yescomplemented
205#2550C2212yescomplemented
206#2550C2212yescomplemented
207#2549C2212yes—
208#2549C2212yes—
209#2549C2212yes—
210#2549C2212yescomplemented
211#2542C2212yes—
212#2542C2211yescharacteristic
213#2538C2212yes—
214#2522C2212yes—
215#2520C2212yescomplemented
216#2520C2212yescomplemented
217#2520C2212yescomplemented
218#2520C2212yescomplemented
219#2520C2212yescomplemented
220#2520C2212yescomplemented
221#2511C2212yescomplemented
222#2508C2212yescomplemented
223#2507C2212yescomplemented
224#2506C2212yescomplemented
225#2506C2212yescomplemented
226#2505C2212yes—
227#2505C2212yes—
228#2505C2212yes—
229#2505C2212yes—
230#2505C2212yescomplemented
231#2502C2211yescharacteristic
232#2502C2211yescharacteristic, complemented
233#2497C2212yes—
234#2497C2212yescomplemented
235#2497C2212yescomplemented
236#2492C2212yes—
237#2492C2212yes—
238#2492C2212yes—
239#2492C2212yes—
240#2492C2212yescomplemented
241#2487C2212yes—
242#2473C2212yes—
243#2473C2212yes—
244#2473C2212yescomplemented
245#2465C2212yes—
246#2465C2212yes—
247#2465C2212yes—
248#2465C2212yescomplemented
249#2454C2212yes—
250#2454C2212yes—
251#2454C2212yes—
252#2454C2212yes—
253#2454C2212yescomplemented
254#2452C2212yes—
255#2452C2212yes—
256#2452C2212yes—
257#2452C2212yes—
258#2452C2212yescomplemented
259#2451C2212yescomplemented
260#2450C2212yes—
261#2450C2212yes—
262#2450C2212yes—
263#2450C2212yes—
264#2450C2212yes—
265#2450C2212yes—
266#2450C2212yes—
267#2450C2212yes—
268#2450C2212yes—
269#2450C2212yescomplemented
270#2450C2212yescomplemented
271#2449C2212yes—
272#2449C2212yes—
273#2449C2212yes—
274#2446C2212yescomplemented
275#2446C2212yescomplemented
276#2441C2212yescomplemented
277#2440C2212yes—
278#2440C2212yescomplemented
279#2439C2212yescomplemented
280#2439C2212yescomplemented
281#2438C2212yescomplemented
282#2438C2212yescomplemented
283#2438C2212yescomplemented
284#2437C2211yescharacteristic
285#2437C2212yes—
286#2437C2212yes—
287#2437C2212yes—
288#2437C2212yes—
289#2434C2212yes—
290#2434C2212yes—
291#2434C2212yes—
292#2434C2212yescomplemented
293#2423C2212yes—
294#2423C2212yes—
295#2423C2212yescomplemented
296#2417C2212yes—
297#2417C2212yes—
298#2417C2212yes—
299#2417C2212yescomplemented
300#2417C2212yescomplemented
301#2409C2212yes—
302#2409C2212yes—
303#2409C2212yes—
304#2409C2212yes—
305#2409C2212yescomplemented
306#2396C2212yescomplemented
307C2×#400C2211yescharacteristic, complemented
308C2×#399C2211yescharacteristic
309C2×#393C2212yes—
310#2383C2212yes—
311#2380C2211yescharacteristic
312#2377C2212yes—
313#2377C2212yes—
314#2376C2212yes—
315#2374C2211yescharacteristic
316#2373C2212yes—
317#2373C2212yes—
318#2370C2212yescomplemented
319#2369C2212yescomplemented
320#2369C2212yescomplemented
321#2368C2211yescharacteristic
322#2368C2212yes—
323#2368C2212yes—
324#2368C2212yes—
325#2368C2212yescomplemented
326#2368C2211yescharacteristic, complemented
327#2366C2212yes—
328#2364C2212yes—
329#2364C2212yes—
330#2364C2212yes—
331#2363C2212yes—
332#2363C2212yes—
333#2363C2212yes—
334#2361C2212yes—
335#2359C2212yes—
336#2359C2212yes—
337#2359C2212yes—
338#2358C2211yescharacteristic
339#2358C2212yes—
340#2358C2212yes—
341#2358C2212yes—
342#2358C2212yes—
343#2349C2212yes—
344#2349C2212yes—
345#2349C2212yes—
346#2349C2212yescomplemented
347#2345C2212yes—
348#2335C2212yes—
349#2335C2212yes—
350#2335C2212yes—
351#2334C2212yes—
352#2334C2212yes—
353#2333C2212yes—
354#2329C2212yescomplemented
355#2328C2212yes—
356#2325C2212yes—
357#2325C2212yes—
358#2325C2212yes—
359#2324C2212yes—
360#2324C2212yes—
361#2324C2212yes—
362#2322C2211yescharacteristic
363#2321C2212yes—
364#2321C2212yes—
365#2321C2212yes—
366#2321C2212yes—
367#2321C2211yescharacteristic
368#2315C2212yes—
369C4×#127C2211yescharacteristic
370C4×#125C2212yescomplemented
371C4×#126C2212yes—
372C4×C22⋊Q8C2212yescomplemented
373C4×#123C2212yes—
374C4×#121C2212yes—
375C4×#121C2212yes—
376#2296C2212yescomplemented
377#2295C2211yescharacteristic, complemented
378C2×#391C2212yescomplemented
379C23×Q8C2312yes—
380C23×Q8C2312yes—
381#560Q8116yescomplemented
382#554—44no—
383D4×Q8—44no—
384D4×Q8—48no—
385#544—44no—
386#543—44no—
387C2×C4⋊Q8C2312yes—
388C2×C4⋊Q8C2312yes—
389C2×C4⋊Q8C2311yescharacteristic
390C2×C4⋊Q8C2311yescharacteristic
391C2×C4⋊Q8C2312yes—
392C2×C4⋊Q8C2312yes—
393C2×C4⋊Q8C2312yes—
394C2×C4⋊Q8C2312yes—
395C2×C4⋊Q8C2312yes—
396C2×C4⋊Q8C2312yes—
397C2×C4⋊Q8C2312yes—
398C2×C4⋊Q8C2312yes—
399C2×#127C2311yescharacteristic
400C2×#126C2312yes—
401C2×#125C2312yes—
402C2×#125C2312yes—
403C2×#125C2312yes—
404C2×#125C2312yes—
405C2×#125C2312yes—
406C2×#125C2312yes—
407C2×#123C2311yescharacteristic
408C2×#123C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
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×C22⋊Q8C2312yes—
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×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#120C2312yes—
445C2×#120C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2311yescharacteristic
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2312yes—
478C22×C22⋊C4C2311yescharacteristic
479C22×C22⋊C4C2312yes—
480C22×C22⋊C4C2312yes—
481C22×C42C2312yes—
482#400C2312yes—
483#400C2311yescharacteristic
484#400C2311yescharacteristic
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#399C2311yescharacteristic
513#399C2312yes—
514#399C2312yes—
515#399C2312yes—
516#399C2311yescharacteristic
517#399C2312yes—
518#399C2312yes—
519#399C2312yes—
520#399C2312yes—
521#399C2312yes—
522#399C2311yescharacteristic
523#399C2312yes—
524#399C2311yescharacteristic
525#399C2312yes—
526#399C2311yescharacteristic
527#399C2312yes—
528#399C2312yes—
529#399C2312yes—
530#399C2312yes—
531#399C2311yescharacteristic
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#396C2312yes—
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#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
608#395C2311yescharacteristic
609#395C2312yes—
610#395C2312yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2311yescharacteristic
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#395C2312yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2312yes—
636#395C2312yes—
637#395C2312yes—
638#395C2312yes—
639#395C2312yes—
640#395C2312yes—
641#395C2312yes—
642#393C2311yescharacteristic
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2312yes—
648#393C2312yes—
649#393C2312yes—
650#393C2311yescharacteristic
651#393C2312yes—
652#393C2312yes—
653#393C2312yes—
654#393C2312yes—
655#393C2312yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
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#391C2312yes—
698#391C2312yes—
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2312yes—
705#390C2311yescharacteristic
706#390C2312yes—
707#390C2312yes—
708#390C2311yescharacteristic
709#390C2312yes—
710#390C2312yes—
711#390C2312yes—
712#390C2312yes—
713#390C2312yes—
714#390C2312yes—
715#390C2312yes—
716#390C2312yes—
717#390C2312yes—
718#390C2312yes—
719#390C2312yes—
720#390C2312yes—
721#390C2312yes—
722#390C2312yes—
723#390C2312yes—
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#389C2312yes—
766#389C2312yes—
767#389C2312yes—
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
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#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#386C2312yes—
883#386C2312yes—
884#386C2312yes—
885#386C2312yes—
886#386C2312yes—
887#386C2312yes—
888#386C2312yes—
889#386C2312yes—
890#386C2312yes—
891#386C2312yes—
892#386C2312yes—
893#386C2312yes—
894#386C2312yes—
895#386C2312yes—
896#386C2312yes—
897#386C2312yes—
898#386C2312yes—
899#386C2312yes—
900#386C2312yes—
901#386C2312yes—
902#386C2312yes—
903#386C2312yes—
904#386C2312yes—
905#386C2312yes—
906#386C2311yescharacteristic
907#386C2311yescharacteristic
908#386C2312yes—
909#386C2312yes—
910#386C2312yes—
911#386C2312yes—
912#386C2312yes—
913#386C2312yes—
914#386C2312yes—
915#386C2312yes—
916#386C2312yes—
917#386C2312yes—
918#386C2312yes—
919#385C2312yes—
920#385C2312yes—
921#385C2312yes—
922#385C2312yes—
923#385C2312yes—
924#385C2312yes—
925#385C2312yes—
926#385C2312yes—
927#385C2312yes—
928#385C2312yes—
929#385C2312yes—
930#385C2312yes—
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#385C2312yes—
950#385C2312yes—
951#385C2312yes—
952#385C2312yes—
953#385C2312yes—
954#385C2311yescharacteristic
955#385C2312yes—
956#385C2312yes—
957#385C2311yescharacteristic
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#384C2311yescharacteristic
987#384C2312yes—
988#384C2312yes—
989#384C2312yes—
990#384C2312yes—
991#384C2312yes—
992#383C2312yes—
993#382C2312yes—
994#382C2312yes—
995#382C2312yes—
996#382C2312yes—
997#382C2312yes—
998#382C2312yes—
999#382C2312yes—
1000#382C2312yes—
1001#382C2312yes—
1002#381C2311yescharacteristic
1003#381C2312yes—
1004#380C2312yes—
1005#380C2312yes—
1006#380C2312yes—
1007#380C2312yes—
1008#380C2312yes—
1009#380C2312yes—
1010#380C2312yes—
1011#380C2312yes—
1012#380C2312yes—
1013#380C2312yes—
1014#380C2312yes—
1015#380C2312yes—
1016#380C2312yes—
1017#380C2312yes—
1018#380C2312yes—
1019#380C2312yes—
1020#380C2312yes—
1021#380C2312yes—
1022#380C2312yes—
1023#380C2312yes—
1024#380C2312yes—
1025#380C2312yes—
1026#380C2312yes—
1027#380C2312yes—
1028#380C2312yes—
1029#380C2312yes—
1030#380C2312yes—
1031#380C2312yes—
1032#380C2312yes—
1033#380C2312yes—
1034#380C2312yes—
1035#380C2312yes—
1036#380C2312yes—
1037#380C2312yes—
1038#380C2312yes—
1039#379C2311yescharacteristic
1040#379C2312yes—
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⋊C4C2311yescharacteristic
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×C22⋊C4C2312yes—
1069C4×C22⋊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⋊C4C2311yescharacteristic
1082C4×C22⋊C4C2312yes—
1083C4×C22⋊C4C2311yescharacteristic
1084C4×C22⋊C4C2312yes—
1085C4×C22⋊C4C2312yes—
1086C4×C22⋊C4C2312yes—
1087C4×C22⋊C4C2312yes—
1088C4×C22⋊C4C2312yes—
1089C4×C22⋊C4C2312yes—
1090C4×C22⋊C4C2312yes—
1091#376C2312yes—
1092C2×#95C2312yes—
1093C2×#95C2312yes—
1094C2×#95C2311yescharacteristic
1095C2×#95C2312yes—
1096C2×#95C2312yes—
1097C2×#95C2311yescharacteristic
1098C2×#95C2312yes—
1099C2×#95C2312yes—
1100C2×#95C2312yes—
1101C2×#95C2312yes—
1102C2×#95C2312yes—
1103C43C2311yescharacteristic
1104C25C2411yescharacteristic
1105C22×Q8—28no—
1106C22×Q8—44no—
1107C22×Q8—82no—
1108C22×Q8—82no—
1109C22×Q8—82no—
1110C22×Q8—82no—
1111C22×Q8C2412yes—
1112C22×Q8C2412yes—
1113C22×Q8C2412yes—
1114C22×Q8C2412yes—
1115C22×Q8C2412yes—
1116C22×Q8C2412yes—
1117C22×Q8C2411yescharacteristic
1118C22×Q8C2411yescharacteristic
1119C22×Q8C2412yes—
1120C22×Q8C2412yes—
1121C22×Q8C2412yes—
1122C22×Q8C2411yescharacteristic
1123C22×D4C2412yes—
1124C22×D4C2412yes—
1125C22×D4C2412yes—
1126C22×D4C2411yescharacteristic
1127C22×D4C2412yes—
1128C22×D4C2411yescharacteristic
1129C22×D4C2412yes—
1130C23×C4C2411yescharacteristic
1131C23×C4C2412yes—
1132C23×C4C2412yes—
1133C23×C4C2411yescharacteristic
1134C23×C4C2412yes—
1135C23×C4C2412yes—
1136C23×C4C2412yes—
1137C23×C4C2412yes—
1138C23×C4C2412yes—
1139C23×C4C2411yescharacteristic
1140C23×C4C2412yes—
1141C23×C4C2412yes—
1142C23×C4C2412yes—
1143C23×C4C2412yes—
1144C23×C4C2412yes—
1145C23×C4C2411yescharacteristic
1146C23×C4C2412yes—
1147C23×C4C2412yes—
1148C23×C4C2412yes—
1149C23×C4C2412yes—
1150C23×C4C2411yescharacteristic
1151C23×C4C2412yes—
1152C4⋊Q8—28no—
1153C4⋊Q8—44no—
1154C4⋊Q8—42no—
1155C4⋊Q8—44no—
1156C4⋊Q8—42no—
1157C4⋊Q8—44no—
1158C4⋊Q8—44no—
1159C4⋊Q8—44no—
1160C4⋊Q8—82no—
1161C4⋊Q8—82no—
1162C4⋊Q8—82no—
1163C4⋊Q8—82no—
1164#127C2×Q818yescomplemented
1165#126C2×Q8116yescomplemented
1166#125—44no—
1167#125—44no—
1168#125—44no—
1169#125—44no—
1170#125—44no—
1171#125—82no—
1172#123C2×Q818yescomplemented
1173#123C2×Q8116yescomplemented
1174C22⋊Q8—28no—
1175C22⋊Q8—24no—
1176C22⋊Q8—24no—
1177C22⋊Q8—44no—
1178C22⋊Q8—44no—
1179C22⋊Q8—44no—
1180C22⋊Q8—44no—
1181C22⋊Q8—44no—
1182C22⋊Q8—44no—
1183C22⋊Q8—44no—
1184C22⋊Q8—44no—
1185C22⋊Q8—44no—
1186C22⋊Q8—44no—
1187C22⋊Q8—44no—
1188C22⋊Q8—44no—
1189C22⋊Q8—44no—
1190C22⋊Q8—42no—
1191C22⋊Q8—42no—
1192C22⋊Q8—44no—
1193C22⋊Q8—44no—
1194C22⋊Q8—44no—
1195C22⋊Q8—44no—
1196C22⋊Q8—44no—
1197C22⋊Q8—44no—
1198C22⋊Q8—44no—
1199C22⋊Q8—82no—
1200C22⋊Q8—82no—
1201C22⋊Q8—82no—
1202C22⋊Q8—82no—
1203C22⋊Q8—82no—
1204C22⋊Q8—82no—
1205C22⋊Q8—82no—
1206#121C2×Q8116yescomplemented
1207#121C2×Q8116yescomplemented
1208#121C2×Q8116yescomplemented
1209#120C2×Q8116yescomplemented
1210#120C2×Q818yescomplemented
1211C4×Q8—24no—
1212C4×Q8—44no—
1213C4×Q8—82no—
1214C4×D4—44no—
1215C4×D4—44no—
1216C4×D4—44no—
1217C4×D4—44no—
1218C4×D4—42no—
1219C4×D4—42no—
1220C4×D4—44no—
1221C4×D4—44no—
1222C4×D4—44no—
1223C4×D4—44no—
1224C4×D4—44no—
1225C4×D4—82no—
1226C4×D4—82no—
1227C4×D4—82no—
1228C4×D4—82no—
1229C4×D4—82no—
1230C4×D4—82no—
1231C4×D4—82no—
1232C4×D4—82no—
1233#117—44no—
1234#117—44no—
1235#117—82no—
1236C2×C4⋊C4—44no—
1237C2×C4⋊C4—42no—
1238C2×C4⋊C4—42no—
1239C2×C4⋊C4—42no—
1240C2×C4⋊C4—82no—
1241C2×C4⋊C4C2411yescharacteristic
1242C2×C4⋊C4C2412yes—
1243C2×C4⋊C4C2411yescharacteristic
1244C2×C4⋊C4C2411yescharacteristic
1245C2×C4⋊C4C2412yes—
1246C2×C4⋊C4C2412yes—
1247C2×C4⋊C4C2412yes—
1248C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1262C2×C4⋊C4C2412yes—
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2412yes—
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2411yescharacteristic
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2412yes—
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2412yes—
1341C2×C4⋊C4C2412yes—
1342C2×C22⋊C4—44no—
1343C2×C22⋊C4—42no—
1344C2×C22⋊C4—44no—
1345C2×C22⋊C4—82no—
1346C2×C22⋊C4—82no—
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⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2412yes—
1377C2×C22⋊C4C2412yes—
1378C2×C22⋊C4C2412yes—
1379C2×C22⋊C4C2412yes—
1380C2×C22⋊C4C2412yes—
1381C2×C22⋊C4C2412yes—
1382C2×C22⋊C4C2412yes—
1383C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1402C2×C22⋊C4C2411yescharacteristic
1403C2×C22⋊C4C2412yes—
1404C2×C22⋊C4C2412yes—
1405C2×C22⋊C4C2412yes—
1406C2×C22⋊C4C2412yes—
1407C2×C22⋊C4C2411yescharacteristic
1408C2×C22⋊C4C2411yescharacteristic
1409C2×C22⋊C4C2412yes—
1410C2×C42—82no—
1411C2×C42C2412yes—
1412C2×C42C2412yes—
1413C2×C42C2412yes—
1414C2×C42C2411yescharacteristic
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
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×C42C2411yescharacteristic
1436C2×C42C2412yes—
1437C2×C42C2412yes—
1438C2×C42C2412yes—
1439C2×C42C2411yescharacteristic
1440#95C2412yes—
1441#95C2412yes—
1442#95C2412yes—
1443#95C2412yes—
1444#95C2412yes—
1445#95C2412yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2411yescharacteristic
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2411yescharacteristic
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2411yescharacteristic
1459#95C2412yes—
1460#95C2412yes—
1461#95C2412yes—
1462#95C2412yes—
1463#95C2412yes—
1464#95C2412yes—
1465#95C2412yes—
1466#95C2412yes—
1467#95C2412yes—
1468#95C2411yescharacteristic
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#95C2411yescharacteristic
1533#95C2412yes—
1534#95C2412yes—
1535#95C2411yescharacteristic
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2412yes—
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548C24—41no—
1549C24—42no—
1550C24—42no—
1551C24—41no—
1552C24C22×Q814yes—
1553C24C2512yes—
1554C24C2511yescharacteristic
1555C24C2511yescharacteristic
1556C24C2512yes—
1557C2×Q8—24no—
1558C2×Q8—24no—
1559C2×Q8—24no—
1560C2×Q8—24no—
1561C2×Q8—24no—
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—42no—
1576C2×Q8—42no—
1577C2×Q8—42no—
1578C2×Q8—42no—
1579C2×Q8—42no—
1580C2×Q8—41no—
1581C2×Q8—42no—
1582C2×Q8—41no—
1583C2×Q8—42no—
1584C2×Q8—42no—
1585C2×Q8—42no—
1586C2×Q8—42no—
1587C2×Q8—42no—
1588C2×Q8—42no—
1589C2×Q8—816no—
1590C2×Q8—816no—
1591C2×Q8H(5,𝔽2)14yes—
1592C2×D4—41no—
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—42no—
1603C2×D4—41no—
1604C2×D4—41no—
1605C2×D4—42no—
1606C2×D4C22×Q818yes—
1607C2×D4C22×Q818yes—
1608C2×D4C22×Q818yes—
1609C2×D4C22×Q814yes—
1610C2×D4C22×Q818yes—
1611C2×D4C22×Q814yes—
1612C2×D4C22×Q818yes—
1613C22×C4—24no—
1614C22×C4—22no—
1615C22×C4—24no—
1616C22×C4—22no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—24no—
1621C22×C4—42no—
1622C22×C4—42no—
1623C22×C4—41no—
1624C22×C4—42no—
1625C22×C4—42no—
1626C22×C4—41no—
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×C4—42no—
1645C22×C4—41no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—41no—
1653C22×C4—42no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—42no—
1659C22×C4—42no—
1660C22×C4—42no—
1661C22×C4—42no—
1662C22×C4—42no—
1663C22×C4—42no—
1664C22×C4—42no—
1665C22×C4—42no—
1666C22×C4—42no—
1667C22×C4—42no—
1668C22×C4—42no—
1669C22×C4—42no—
1670C22×C4—42no—
1671C22×C4—42no—
1672C22×C4—42no—
1673C22×C4C22×Q814yes—
1674C22×C4C22×Q818yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2512yes—
1684C22×C4C2512yes—
1685C22×C4C2512yes—
1686C22×C4C2511yescharacteristic
1687C22×C4C2512yes—
1688C22×C4C2512yes—
1689C22×C4C2512yes—
1690C22×C4C2512yes—
1691C22×C4C2512yes—
1692C22×C4C2512yes—
1693C22×C4C2512yes—
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2511yescharacteristic
1697C22×C4C2511yescharacteristic
1698C22×C4C2511yescharacteristic
1699C22×C4C2512yes—
1700C22×C4C2512yes—
1701C22×C4C2512yes—
1702C22×C4C2512yes—
1703C22×C4C2512yes—
1704C22×C4C2511yescharacteristic
1705C22×C4C2512yes—
1706C4⋊C4—22no—
1707C4⋊C4—24no—
1708C4⋊C4—22no—
1709C4⋊C4—22no—
1710C4⋊C4—24no—
1711C4⋊C4—24no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—24no—
1715C4⋊C4—24no—
1716C4⋊C4—24no—
1717C4⋊C4—24no—
1718C4⋊C4—24no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—42no—
1727C4⋊C4—42no—
1728C4⋊C4—42no—
1729C4⋊C4—42no—
1730C4⋊C4—42no—
1731C4⋊C4—42no—
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—41no—
1747C4⋊C4—42no—
1748C4⋊C4—41no—
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⋊C4—42no—
1761C4⋊C4—42no—
1762C4⋊C4—42no—
1763C4⋊C4—42no—
1764C4⋊C4—42no—
1765C4⋊C4—42no—
1766C4⋊C4—42no—
1767C4⋊C4—42no—
1768C4⋊C4—42no—
1769C4⋊C4—42no—
1770C4⋊C4—41no—
1771C4⋊C4—42no—
1772C4⋊C4—41no—
1773C4⋊C4—41no—
1774C4⋊C4—42no—
1775C4⋊C4—42no—
1776C4⋊C4—42no—
1777C4⋊C4—42no—
1778C4⋊C4—41no—
1779C4⋊C4—42no—
1780C4⋊C4—42no—
1781C4⋊C4—42no—
1782C4⋊C4—42no—
1783C4⋊C4—42no—
1784C4⋊C4—42no—
1785C4⋊C4—42no—
1786C4⋊C4—42no—
1787C4⋊C4—42no—
1788C4⋊C4—42no—
1789C4⋊C4—42no—
1790C4⋊C4—42no—
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—42no—
1803C4⋊C4—42no—
1804C4⋊C4C22×Q818yes—
1805C4⋊C4C22×Q818yes—
1806C4⋊C4C22×Q818yes—
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—42no—
1816C22⋊C4—42no—
1817C22⋊C4—42no—
1818C22⋊C4—42no—
1819C22⋊C4—42no—
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—41no—
1830C22⋊C4—41no—
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—41no—
1840C22⋊C4—41no—
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—
1850C22⋊C4—42no—
1851C22⋊C4—42no—
1852C22⋊C4—42no—
1853C22⋊C4—42no—
1854C22⋊C4—42no—
1855C22⋊C4—42no—
1856C22⋊C4—42no—
1857C22⋊C4—42no—
1858C22⋊C4—42no—
1859C22⋊C4—42no—
1860C22⋊C4—42no—
1861C22⋊C4—42no—
1862C22⋊C4—42no—
1863C22⋊C4C22×Q818yes—
1864C22⋊C4C22×Q818yes—
1865C22⋊C4C22×Q818yes—
1866C22⋊C4C22×Q818yes—
1867C22⋊C4C22×Q814yes—
1868C22⋊C4C22×Q818yes—
1869C22⋊C4C22×Q814yes—
1870C42—24no—
1871C42—24no—
1872C42—22no—
1873C42—24no—
1874C42—42no—
1875C42—42no—
1876C42—42no—
1877C42—42no—
1878C42—42no—
1879C42—41no—
1880C42—42no—
1881C42—42no—
1882C42—42no—
1883C42—42no—
1884C42—42no—
1885C42—42no—
1886C42—42no—
1887C42—42no—
1888C42—42no—
1889C42—42no—
1890C42—42no—
1891C42—42no—
1892C42—42no—
1893C42—42no—
1894C42—42no—
1895C42—42no—
1896C42—42no—
1897C42—42no—
1898C42C22×Q814yes—
1899C23—21no—
1900C23—21no—
1901C23—22no—
1902C23—22no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—22no—
1907C23—22no—
1908C23—22no—
1909C23—22no—
1910C23—22no—
1911C23—22no—
1912C23—22no—
1913C23—22no—
1914C23—22no—
1915C23—21no—
1916C23—21no—
1917C23—22no—
1918C23—22no—
1919C23—44no—
1920C23—48no—
1921C23—161no—
1922C23—161no—
1923C23—162no—
1924C23C23×Q814yes—
1925C23C23×Q812yes—
1926C23C23×Q812yes—
1927C23C23×Q814yes—
1928C23C2611yescharacteristic
1929Q8—44no—
1930Q8—48no—
1931Q8—84no—
1932Q8—84no—
1933Q8—84no—
1934Q8—84no—
1935Q8—84no—
1936Q8—84no—
1937Q8—162no—
1938Q8—162no—
1939Q8—161no—
1940Q8—161no—
1941D4—48no—
1942D4—44no—
1943D4—44no—
1944D4—48no—
1945D4—48no—
1946D4—48no—
1947D4—48no—
1948C2×C4—21no—
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—21no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—21no—
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—21no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—21no—
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—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—22no—
2017C2×C4—22no—
2018C2×C4—22no—
2019C2×C4—22no—
2020C2×C4—22no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—22no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—44no—
2030C2×C4—48no—
2031C2×C4—48no—
2032C2×C4—82no—
2033C2×C4—82no—
2034C2×C4—84no—
2035C2×C4—84no—
2036C2×C4—84no—
2037C2×C4—84no—
2038C2×C4—84no—
2039C2×C4—84no—
2040C2×C4—84no—
2041C2×C4—162no—
2042C2×C4—162no—
2043C2×C4—162no—
2044C2×C4—161no—
2045C2×C4—161no—
2046C2×C4—162no—
2047C2×C4—162no—
2048C2×C4—162no—
2049C2×C4—162no—
2050C2×C4—162no—
2051C2×C4C23×Q812yes—
2052C2×C4C23×Q814yes—
2053C2×C4C23×Q814yes—
2054C2×C4C23×Q814yes—
2055C2×C4C23×Q814yes—
2056C2×C4C2×H(5,𝔽2)14yes—
2057C2×C4C2×H(5,𝔽2)12yes—
2058C2×C4#58514yes—
2059C22—22no—
2060C22—24no—
2061C22—22no—
2062C22—24no—
2063C22—24no—
2064C22—24no—
2065C22—24no—
2066C22—24no—
2067C22—24no—
2068C22—24no—
2069C22—41no—
2070C22—41no—
2071C22—42no—
2072C22—42no—
2073C22—42no—
2074C22—42no—
2075C22—41no—
2076C22—41no—
2077C22—42no—
2078C22—42no—
2079C22—42no—
2080C22—42no—
2081C22—42no—
2082C22—42no—
2083C22—164no—
2084C22C24×Q811yescharacteristic
2085C22C22×H(5,𝔽2)11yescharacteristic
2086C22C2×#58512yes—
2087C22H(7,𝔽2)12yes—
2088C222−1+611yescharacteristic
2089C4—24no—
2090C4—22no—
2091C4—24no—
2092C4—24no—
2093C4—24no—
2094C4—24no—
2095C4—22no—
2096C4—24no—
2097C4—42no—
2098C4—42no—
2099C4—42no—
2100C4—42no—
2101C4—42no—
2102C4—42no—
2103C4—41no—
2104C4—42no—
2105C4—42no—
2106C4—42no—
2107C4—42no—
2108C4—42no—
2109C4—42no—
2110C4—41no—
2111C4—41no—
2112C4—42no—
2113C4—42no—
2114C4—42no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—42no—
2120C2—42no—
2121C2—44no—
2122C2—42no—
2123C2—44no—
2124C2#6286211yescharacteristic
2125C2#6287212yes—
2126C2Q8×H(5,𝔽2)11yescharacteristic
2127C2#6298912yes—
2128C2#6303511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#560C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59921C2semidirect
2. #59912C2semidirect
3. #59886C2semidirect
4. #59793C2semidirect
5. #59465C2semidirect
6. #52036C2semidirect
7. #51596C2semidirect
8. #51592C2semidirect
9. #51218C2semidirect
10. #51076C2semidirect
11. #48860C2semidirect
12. #48844C2semidirect
13. #47987C2semidirect
14. #47966C2semidirect
15. #46847C2semidirect
16. #46844C2semidirect
17. #46434C2semidirect
18. #46433C2semidirect
19. #44879C2semidirect
20. #44449C2semidirect
21. #43566C2semidirect
22. #43562C2semidirect
23. #43554C2semidirect
24. #43550C2semidirect
25. #43550C2semidirect
26. #43512C2semidirect
27. #43494C2semidirect
28. #43003C2semidirect
29. #39699C2semidirect
30. #39690C2semidirect
31. #39657C2semidirect
32. #39618C2semidirect
33. #39615C2semidirect
39. C2×D4×Q8C22semidirect
40. C2×#544C22semidirect
42. #2862C22semidirect
43. #2857C22semidirect
45. #2841C22semidirect
49. #2807C22semidirect
50. #2806C22semidirect
51. #2805C22semidirect
54. #2802C22semidirect
55. #2792C22semidirect
56. #2791C22semidirect
57. #2791C22semidirect
62. #2788C22semidirect
63. #2788C22semidirect
69. #2784C22semidirect
70. #2784C22semidirect
71. #2784C22semidirect
75. #2780C22semidirect
76. #2774C22semidirect
77. #2774C22semidirect
78. #2774C22semidirect
84. #2755C22semidirect
85. #2755C22semidirect
92. #2742C22semidirect
93. #2734C22semidirect
94. #2734C22semidirect
95. #2734C22semidirect
100. #2732C22semidirect
101. #2732C22semidirect
107. #2729C22semidirect
108. #2729C22semidirect
109. #2729C22semidirect
113. #2713C22semidirect
114. #2713C22semidirect
115. #2713C22semidirect
116. #2713C22semidirect
119. #2704C22semidirect
120. #2704C22semidirect
130. #2692C22semidirect
131. #2692C22semidirect
132. #2692C22semidirect
134. #2683C22semidirect
138. #2677C22semidirect
139. #2666C22semidirect
140. #2666C22semidirect
141. #2665C22semidirect
142. #2665C22semidirect
143. #2660C22semidirect
144. #2659C22semidirect
145. #2659C22semidirect
146. #2629C22semidirect
147. #2628C22semidirect
148. #2607C22semidirect
149. #2606C22semidirect
150. #2605C22semidirect
151. #2590C22semidirect
157. #2589C22semidirect
158. #2588C22semidirect
159. #2588C22semidirect
160. #2588C22semidirect
162. #2586C22semidirect
163. #2586C22semidirect
164. #2585C22semidirect
165. #2585C22semidirect
166. #2584C22semidirect
168. #2579C22semidirect
174. #2574C22semidirect
175. #2574C22semidirect
176. #2571C22semidirect
177. #2569C22semidirect
178. #2569C22semidirect
179. #2569C22semidirect
180. #2567C22semidirect
182. #2566C22semidirect
190. #2564C22semidirect
191. #2564C22semidirect
192. #2564C22semidirect
195. #2563C22semidirect
196. #2563C22semidirect
202. #2556C22semidirect
203. #2551C22semidirect
204. #2551C22semidirect
205. #2550C22semidirect
206. #2550C22semidirect
210. #2549C22semidirect
215. #2520C22semidirect
216. #2520C22semidirect
217. #2520C22semidirect
218. #2520C22semidirect
219. #2520C22semidirect
220. #2520C22semidirect
221. #2511C22semidirect
222. #2508C22semidirect
223. #2507C22semidirect
224. #2506C22semidirect
225. #2506C22semidirect
230. #2505C22semidirect
232. #2502C22semidirect
234. #2497C22semidirect
235. #2497C22semidirect
240. #2492C22semidirect
244. #2473C22semidirect
248. #2465C22semidirect
253. #2454C22semidirect
258. #2452C22semidirect
259. #2451C22semidirect
269. #2450C22semidirect
270. #2450C22semidirect
274. #2446C22semidirect
275. #2446C22semidirect
276. #2441C22semidirect
278. #2440C22semidirect
279. #2439C22semidirect
280. #2439C22semidirect
281. #2438C22semidirect
282. #2438C22semidirect
283. #2438C22semidirect
292. #2434C22semidirect
295. #2423C22semidirect
299. #2417C22semidirect
300. #2417C22semidirect
305. #2409C22semidirect
306. #2396C22semidirect
307. C2×#400C22semidirect
318. #2370C22semidirect
319. #2369C22semidirect
320. #2369C22semidirect
325. #2368C22semidirect
326. #2368C22semidirect
346. #2349C22semidirect
354. #2329C22semidirect
370. C4×#125C22semidirect
372. C4×C22⋊Q8C22semidirect
376. #2296C22semidirect
377. #2295C22semidirect
378. C2×#391C22semidirect
381. #560Q8semidirect
1164. #127C2×Q8semidirect
1165. #126C2×Q8semidirect
1172. #123C2×Q8semidirect
1173. #123C2×Q8semidirect
1206. #121C2×Q8semidirect
1207. #121C2×Q8semidirect
1208. #121C2×Q8semidirect
1209. #120C2×Q8semidirect
1210. #120C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#599212
#599122
#598862
#597932
#594652
#520362
#515962
#515922
#512182
#510762
#488602
#488442
#479872
#479662
#468472
#468442
#464342
#464332
#448792
#444492
#435662
#435622
#435542
#435502
#435122
#434942
#430032
#396992
#396902
#396572
#396182
#396152
#345202
#345172