Finite Group Databasebeta

← #7893229

Subgroups — #7893229

Order 512.

4593 conjugacy classes of subgroups.

The subgroup lattice has 2200 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59830C211yesmaximal, characteristic, complemented
2#59454C212yesmaximal, complemented
3C2×#2805C211yesmaximal, characteristic, complemented
4#51082C212yesmaximal, complemented
5#51077C212yesmaximal, complemented
6#51076C212yesmaximal, complemented
7#47987C212yesmaximal, complemented
8#47981C212yesmaximal, complemented
9#47965C212yesmaximal, complemented
10#47736C212yesmaximal, complemented
11#46440C212yesmaximal, complemented
12#46006C211yesmaximal, characteristic, complemented
13#45793C211yesmaximal, characteristic, complemented
14#44189C212yesmaximal, complemented
15#43981C212yesmaximal, complemented
16#43128C212yesmaximal, complemented
17#43128C212yesmaximal, complemented
18#43100C212yesmaximal, complemented
19#42005C212yesmaximal, complemented
20#40618C212yesmaximal, complemented
21#40618C212yesmaximal, complemented
22#40614C212yesmaximal, complemented
23#39751C211yesmaximal, characteristic, complemented
24#39701C211yesmaximal, characteristic, complemented
25#39631C211yesmaximal, characteristic, complemented
26#39620C212yesmaximal, complemented
27#39615C211yesmaximal, characteristic, complemented
28#39610C212yesmaximal, complemented
29#39493C211yesmaximal, characteristic, complemented
30#38447C211yesmaximal, characteristic, complemented
31#38098C212yesmaximal, complemented
32#37308C211yesmaximal, characteristic, complemented
33#37137C211yesmaximal, characteristic, complemented
34#36261C211yesmaximal, characteristic, complemented
35#35928C212yesmaximal, complemented
36#35399C212yesmaximal, complemented
37#35016C211yesmaximal, characteristic, complemented
38#34497C212yesmaximal
39#34323C211yesmaximal, characteristic
40C2×#554C2212yes—
41C2×#554C2212yes—
42C2×#553C2211yescharacteristic
43C2×D4×Q8C2212yes—
44#2863C2211yescharacteristic
45#2862C2211yescharacteristic
46#2859C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2212yes—
50#2857C2211yescharacteristic
51#2855C2211yescharacteristic
52#2844C2212yes—
53#2844C2212yes—
54#2841C2212yes—
55#2841C2212yes—
56#2807C2212yes—
57#2807C2212yes—
58#2807C2212yes—
59#2807C2212yes—
60#2806C2212yes—
61#2806C2212yes—
62#2805C2211yescharacteristic
63#2805C2211yescharacteristic
64#2805C2212yes—
65#2805C2211yescharacteristic
66#2805C2212yes—
67#2805C2212yes—
68#2805C2212yes—
69#2805C2212yes—
70#2805C2212yes—
71#2805C2211yescharacteristic
72#2805C2211yescharacteristic
73#2805C2211yescharacteristic
74#2805C2212yes—
75#2805C2212yes—
76#2804C2212yes—
77#2804C2212yes—
78#2802C2212yes—
79#2802C2212yes—
80#2802C2212yes—
81#2802C2212yes—
82#2792C2212yes—
83#2792C2212yes—
84#2792C2212yes—
85#2792C2212yes—
86#2792C2212yes—
87#2792C2212yes—
88#2790C2212yes—
89#2790C2212yes—
90#2788C2212yes—
91#2788C2212yes—
92#2788C2212yes—
93#2788C2212yes—
94#2780C2212yes—
95#2780C2212yes—
96#2774C2212yes—
97#2774C2212yes—
98#2774C2212yes—
99#2774C2212yes—
100#2774C2212yes—
101#2774C2212yes—
102#2763C2212yes—
103#2763C2212yes—
104#2763C2212yes—
105#2763C2212yes—
106#2755C2212yes—
107#2755C2212yes—
108#2742C2212yes—
109#2742C2212yes—
110#2742C2212yes—
111#2742C2212yes—
112#2734C2211yescharacteristic
113#2734C2211yescharacteristic
114#2734C2212yes—
115#2734C2212yes—
116#2734C2212yes—
117#2734C2211yescharacteristic
118#2732C2211yescharacteristic
119#2732C2211yescharacteristic
120#2732C2211yescharacteristic
121#2729C2212yes—
122#2729C2212yes—
123#2729C2212yes—
124#2729C2212yes—
125#2729C2212yes—
126#2726C2211yescharacteristic
127#2726C2211yescharacteristic
128#2726C2211yescharacteristic
129#2720C2212yes—
130#2720C2212yes—
131#2720C2212yes—
132#2720C2212yes—
133#2720C2212yes—
134#2720C2212yes—
135#2720C2212yes—
136#2713C2212yes—
137#2713C2212yes—
138#2713C2212yes—
139#2713C2212yes—
140#2713C2212yes—
141#2704C2212yes—
142#2692C2212yes—
143#2692C2212yes—
144#2692C2212yes—
145#2683C2211yescharacteristic
146#2683C2212yes—
147#2677C2212yes—
148#2677C2212yes—
149#2677C2212yes—
150#2666C2212yes—
151#2666C2212yes—
152#2666C2212yes—
153#2666C2212yes—
154#2666C2212yes—
155#2665C2212yes—
156#2660C2212yes—
157#2659C2212yes—
158#2659C2212yes—
159#2659C2212yes—
160#2659C2212yes—
161#2647C2212yes—
162#2646C2212yes—
163#2646C2212yes—
164#2628C2212yes—
165#2628C2212yes—
166#2628C2212yes—
167#2612C2212yes—
168#2608C2212yes—
169#2606C2212yes—
170#2605C2212yes—
171#2590C2212yes—
172#2589C2212yes—
173#2589C2212yes—
174#2589C2212yes—
175#2589C2212yes—
176#2587C2212yes—
177#2587C2212yes—
178#2587C2212yes—
179#2586C2212yes—
180#2586C2212yes—
181#2586C2212yes—
182#2586C2212yes—
183#2586C2212yes—
184#2585C2212yes—
185#2584C2212yes—
186#2584C2212yes—
187#2584C2212yes—
188#2583C2212yes—
189#2583C2212yes—
190#2583C2212yes—
191#2583C2212yes—
192#2583C2212yes—
193#2580C2212yes—
194#2579C2212yes—
195#2574C2212yes—
196#2574C2212yes—
197#2570C2212yes—
198#2570C2212yes—
199#2570C2212yes—
200#2570C2212yes—
201#2569C2212yes—
202#2567C2212yes—
203#2567C2212yes—
204#2564C2212yes—
205#2564C2212yes—
206#2564C2212yes—
207#2564C2212yes—
208#2564C2212yes—
209#2564C2212yes—
210#2556C2212yes—
211#2556C2212yes—
212#2552C2211yescharacteristic
213#2551C2212yes—
214#2551C2212yes—
215#2551C2211yescharacteristic
216#2551C2212yes—
217#2550C2212yes—
218#2550C2212yes—
219#2550C2212yes—
220#2550C2212yes—
221#2549C2212yes—
222#2549C2212yes—
223#2549C2212yes—
224#2549C2212yes—
225#2549C2212yes—
226#2549C2212yes—
227#2549C2212yes—
228#2549C2212yes—
229#2520C2212yes—
230#2520C2212yes—
231#2520C2212yes—
232#2511C2212yes—
233#2511C2212yes—
234#2511C2211yescharacteristic
235#2509C2212yes—
236#2508C2212yes—
237#2507C2212yes—
238#2507C2212yes—
239#2507C2212yes—
240#2506C2212yes—
241#2505C2212yes—
242#2505C2212yes—
243#2505C2212yes—
244#2505C2212yes—
245#2505C2212yes—
246#2497C2212yes—
247#2492C2211yescharacteristic
248#2487C2212yes—
249#2487C2212yes—
250#2473C2212yes—
251#2473C2212yes—
252#2473C2212yes—
253#2473C2212yes—
254#2465C2212yes—
255#2465C2212yes—
256#2465C2212yes—
257#2465C2212yes—
258#2465C2212yes—
259#2462C2212yes—
260#2462C2212yes—
261#2462C2212yes—
262#2462C2212yes—
263#2454C2212yes—
264#2452C2212yes—
265#2451C2212yes—
266#2451C2212yes—
267#2451C2212yes—
268#2450C2212yes—
269#2450C2212yes—
270#2450C2212yes—
271#2450C2212yes—
272#2450C2212yes—
273#2450C2212yes—
274#2450C2212yes—
275#2449C2212yes—
276#2449C2212yes—
277#2449C2212yes—
278#2449C2212yes—
279#2449C2212yes—
280#2449C2212yes—
281#2449C2212yes—
282#2449C2212yes—
283#2446C2212yes—
284#2446C2212yes—
285#2446C2211yescharacteristic
286#2442C2212yes—
287#2442C2212yes—
288#2442C2212yes—
289#2441C2212yes—
290#2440C2212yes—
291#2440C2212yes—
292#2440C2212yes—
293#2440C2211yescharacteristic
294#2440C2212yes—
295#2440C2212yes—
296#2440C2212yes—
297#2440C2212yes—
298#2440C2211yescharacteristic
299#2440C2211yescharacteristic
300#2440C2211yescharacteristic
301#2440C2211yescharacteristic
302#2439C2212yes—
303#2438C2212yes—
304#2438C2212yes—
305#2438C2212yes—
306#2434C2211yescharacteristic
307#2434C2212yes—
308#2434C2212yes—
309#2434C2212yes—
310#2429C2211yescharacteristic
311#2429C2212yes—
312#2423C2212yes—
313#2417C2212yes—
314#2417C2211yescharacteristic
315#2409C2211yescharacteristic
316#2409C2212yes—
317#2409C2212yes—
318#2399C2212yes—
319C2×#400C2212yes—
320C2×#400C2212yes—
321C2×#395C2212yes—
322C2×#395C2212yes—
323#2383C2212yes—
324#2382C2212yes—
325#2377C2212yes—
326#2376C2212yes—
327#2373C2212yes—
328#2373C2212yes—
329#2370C2211yescharacteristic
330#2370C2212yes—
331#2364C2212yes—
332#2364C2212yes—
333#2363C2211yescharacteristic
334#2361C2212yes—
335#2361C2211yescharacteristic
336#2361C2212yes—
337#2360C2212yes—
338#2359C2212yes—
339#2359C2212yes—
340#2352C2211yescharacteristic
341#2352C2212yes—
342#2352C2212yes—
343#2349C2211yescharacteristic
344#2349C2212yes—
345#2349C2212yes—
346#2349C2212yes—
347D4×C4⋊C4C2211yescharacteristic
348D4×C4⋊C4C2212yes—
349D4×C4⋊C4C2212yes—
350D4×C4⋊C4C2212yes—
351D4×C4⋊C4C2211yescharacteristic
352#2346C2211yescharacteristic
353#2345C2211yescharacteristic
354#2345C2212yes—
355#2343C2212yes—
356#2336C2212yes—
357#2335C2212yes—
358#2335C2212yes—
359#2334C2212yes—
360#2334C2212yes—
361#2334C2212yes—
362#2330C2212yes—
363#2329C2212yes—
364#2329C2212yes—
365#2329C2212yes—
366#2325C2212yes—
367#2325C2212yes—
368#2325C2212yes—
369#2325C2212yes—
370#2322C2212yes—
371#2318C2212yes—
372#2318C2212yes—
373#2318C2212yes—
374#2317C2212yes—
375#2314C2212yes—
376C4×C4⋊Q8C2211yescharacteristic
377C4×#125C2211yescharacteristic
378C4×C22⋊Q8C2212yes—
379C4×C22⋊Q8C2211yescharacteristic
380C4×#121C2211yescharacteristic
381C4×#121C2211yescharacteristic
382C4×#121C2212yes—
383#2296C2211yescharacteristic
384C2×#391C2211yescharacteristic
385#2293C2211yescharacteristic
386C2×#389C2211yescharacteristic
387C2×#389C2212yes—
388C2×#389C2211yescharacteristic
389C2×#389C2211yescharacteristic
390#2290C2212yes—
391C2×#387C2212yes—
392C2×#387C2212yes—
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C23×Q8C2311yescharacteristic
396C23×Q8C2312yes—
397#554—48no—
398#554—48no—
399#553Q8116yescomplemented
400D4×Q8—48no—
401C2×C4⋊Q8C2311yescharacteristic
402C2×C4⋊Q8C2312yes—
403C2×C4⋊Q8C2312yes—
404C2×C4⋊Q8C2312yes—
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2312yes—
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2312yes—
409C2×C4⋊Q8C2311yescharacteristic
410C2×C4⋊Q8C2311yescharacteristic
411C2×C4⋊Q8C2311yescharacteristic
412C2×C4⋊Q8C2311yescharacteristic
413C2×C4⋊Q8C2311yescharacteristic
414C2×C4⋊Q8C2312yes—
415C2×C4⋊Q8C2312yes—
416C2×#126C2312yes—
417C2×#125C2312yes—
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2312yes—
424C2×#125C2311yescharacteristic
425C2×#123C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2311yescharacteristic
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×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2311yescharacteristic
448C2×C22⋊Q8C2311yescharacteristic
449C2×C22⋊Q8C2311yescharacteristic
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×#121C2311yescharacteristic
453C2×#121C2312yes—
454C2×#121C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2311yescharacteristic
481C2×#117C2311yescharacteristic
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2311yescharacteristic
487C22×C4⋊C4C2312yes—
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2311yescharacteristic
494C22×C4⋊C4C2311yescharacteristic
495C22×C4⋊C4C2311yescharacteristic
496C22×C4⋊C4C2311yescharacteristic
497C22×C42C2311yescharacteristic
498C22×C42C2311yescharacteristic
499C22×C42C2312yes—
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#400C2312yes—
514#400C2312yes—
515#400C2312yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2312yes—
520#400C2312yes—
521#400C2312yes—
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#400C2312yes—
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#400C2312yes—
534#400C2312yes—
535#400C2312yes—
536#400C2312yes—
537#400C2312yes—
538#400C2312yes—
539#400C2312yes—
540#400C2312yes—
541#400C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
545#399C2312yes—
546#399C2312yes—
547#399C2312yes—
548#399C2312yes—
549#399C2312yes—
550#399C2312yes—
551#399C2312yes—
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#398C2312yes—
587#398C2312yes—
588#398C2312yes—
589#398C2312yes—
590#398C2312yes—
591#398C2312yes—
592#398C2312yes—
593#398C2312yes—
594#398C2312yes—
595#398C2312yes—
596#398C2312yes—
597#398C2312yes—
598#398C2312yes—
599#398C2312yes—
600#398C2312yes—
601#398C2312yes—
602#398C2312yes—
603#398C2312yes—
604#398C2312yes—
605#398C2312yes—
606#398C2312yes—
607#398C2312yes—
608#396C2312yes—
609#396C2312yes—
610#396C2312yes—
611#396C2312yes—
612#396C2312yes—
613#396C2312yes—
614#396C2312yes—
615#396C2312yes—
616#396C2312yes—
617#396C2312yes—
618#396C2312yes—
619#396C2312yes—
620#396C2312yes—
621#396C2312yes—
622#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#395C2312yes—
643#395C2312yes—
644#395C2312yes—
645#395C2312yes—
646#395C2312yes—
647#395C2312yes—
648#395C2312yes—
649#395C2312yes—
650#395C2312yes—
651#395C2312yes—
652#395C2312yes—
653#395C2312yes—
654#395C2312yes—
655#395C2312yes—
656#395C2312yes—
657#395C2312yes—
658#395C2312yes—
659#395C2312yes—
660#395C2312yes—
661#395C2312yes—
662#395C2312yes—
663#395C2312yes—
664#395C2312yes—
665#395C2312yes—
666#395C2312yes—
667#395C2312yes—
668#395C2312yes—
669#395C2312yes—
670#395C2312yes—
671#395C2312yes—
672#395C2312yes—
673#395C2312yes—
674#395C2312yes—
675#395C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
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#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2311yescharacteristic
711#391C2311yescharacteristic
712#391C2311yescharacteristic
713#391C2311yescharacteristic
714#391C2312yes—
715#391C2312yes—
716#391C2311yescharacteristic
717#391C2311yescharacteristic
718#391C2311yescharacteristic
719#391C2311yescharacteristic
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2311yescharacteristic
725#391C2311yescharacteristic
726#390C2312yes—
727#390C2312yes—
728#390C2312yes—
729#390C2311yescharacteristic
730#390C2311yescharacteristic
731#389C2311yescharacteristic
732#389C2311yescharacteristic
733#389C2312yes—
734#389C2311yescharacteristic
735#389C2311yescharacteristic
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#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2312yes—
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2311yescharacteristic
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2311yescharacteristic
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2311yescharacteristic
802#389C2311yescharacteristic
803#389C2311yescharacteristic
804#389C2311yescharacteristic
805#389C2311yescharacteristic
806#389C2311yescharacteristic
807#389C2312yes—
808#389C2311yescharacteristic
809#389C2311yescharacteristic
810#389C2311yescharacteristic
811#389C2312yes—
812#389C2312yes—
813#389C2311yescharacteristic
814#389C2312yes—
815#389C2311yescharacteristic
816#389C2312yes—
817#389C2311yescharacteristic
818#389C2311yescharacteristic
819#389C2311yescharacteristic
820#389C2311yescharacteristic
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
826#389C2311yescharacteristic
827#389C2312yes—
828#388C2312yes—
829#388C2312yes—
830#388C2312yes—
831#388C2312yes—
832#388C2312yes—
833#388C2312yes—
834#388C2312yes—
835#388C2312yes—
836#388C2312yes—
837#388C2312yes—
838#388C2312yes—
839#388C2312yes—
840#388C2312yes—
841#388C2312yes—
842#388C2312yes—
843#388C2312yes—
844#388C2312yes—
845#388C2312yes—
846#388C2312yes—
847#388C2312yes—
848#388C2312yes—
849#388C2312yes—
850#388C2312yes—
851#388C2312yes—
852#388C2312yes—
853#388C2312yes—
854#388C2312yes—
855#387C2312yes—
856#387C2312yes—
857#387C2312yes—
858#387C2312yes—
859#387C2312yes—
860#387C2312yes—
861#387C2312yes—
862#387C2312yes—
863#387C2312yes—
864#387C2312yes—
865#387C2312yes—
866#387C2312yes—
867#387C2312yes—
868#387C2312yes—
869#387C2312yes—
870#387C2312yes—
871#387C2312yes—
872#387C2312yes—
873#387C2312yes—
874#387C2312yes—
875#387C2312yes—
876#387C2312yes—
877#387C2312yes—
878#387C2312yes—
879#387C2312yes—
880#387C2312yes—
881#387C2312yes—
882#387C2312yes—
883#387C2312yes—
884#387C2312yes—
885#387C2312yes—
886#387C2312yes—
887#387C2312yes—
888#387C2312yes—
889#387C2312yes—
890#387C2312yes—
891#387C2312yes—
892#387C2312yes—
893#387C2312yes—
894#387C2312yes—
895#387C2312yes—
896#387C2312yes—
897#387C2312yes—
898#387C2312yes—
899#387C2312yes—
900#387C2312yes—
901#387C2312yes—
902#387C2312yes—
903#387C2312yes—
904#387C2312yes—
905#387C2312yes—
906#387C2312yes—
907#387C2312yes—
908#387C2312yes—
909#387C2312yes—
910#387C2312yes—
911#387C2312yes—
912#387C2312yes—
913#387C2312yes—
914#387C2312yes—
915#387C2312yes—
916#387C2312yes—
917#387C2312yes—
918#387C2312yes—
919#387C2312yes—
920#387C2312yes—
921#387C2312yes—
922#387C2312yes—
923#387C2312yes—
924#387C2312yes—
925#387C2312yes—
926#387C2312yes—
927#387C2312yes—
928#387C2312yes—
929#387C2312yes—
930#387C2312yes—
931#387C2312yes—
932#387C2312yes—
933#387C2312yes—
934#387C2312yes—
935#387C2312yes—
936#387C2312yes—
937#387C2312yes—
938#387C2312yes—
939#387C2312yes—
940#386C2312yes—
941#386C2312yes—
942#386C2312yes—
943#386C2312yes—
944#386C2312yes—
945#386C2312yes—
946#386C2312yes—
947#386C2312yes—
948#386C2312yes—
949#386C2312yes—
950#386C2312yes—
951#386C2312yes—
952#386C2312yes—
953#386C2312yes—
954#386C2312yes—
955#386C2312yes—
956#386C2312yes—
957#386C2312yes—
958#386C2312yes—
959#385C2312yes—
960#385C2312yes—
961#385C2312yes—
962#385C2312yes—
963#385C2312yes—
964#385C2312yes—
965#385C2312yes—
966#385C2312yes—
967#385C2312yes—
968#385C2312yes—
969#385C2312yes—
970#385C2312yes—
971#385C2312yes—
972#385C2312yes—
973#385C2312yes—
974#385C2312yes—
975#385C2312yes—
976#385C2312yes—
977#385C2312yes—
978#385C2312yes—
979#385C2312yes—
980#385C2312yes—
981#385C2312yes—
982#385C2312yes—
983#385C2312yes—
984#385C2312yes—
985#385C2312yes—
986#385C2312yes—
987#385C2312yes—
988#385C2312yes—
989#385C2312yes—
990#385C2312yes—
991#385C2312yes—
992#385C2312yes—
993#385C2312yes—
994#385C2312yes—
995#385C2312yes—
996#385C2312yes—
997#385C2312yes—
998#385C2312yes—
999#385C2312yes—
1000#385C2312yes—
1001#385C2312yes—
1002#385C2312yes—
1003#385C2312yes—
1004#385C2312yes—
1005#385C2312yes—
1006#385C2312yes—
1007#385C2312yes—
1008#385C2312yes—
1009#385C2312yes—
1010#385C2312yes—
1011#385C2312yes—
1012#385C2312yes—
1013#385C2312yes—
1014#385C2312yes—
1015#385C2312yes—
1016#385C2312yes—
1017#385C2312yes—
1018#384C2311yescharacteristic
1019#384C2311yescharacteristic
1020#384C2312yes—
1021#384C2312yes—
1022#384C2312yes—
1023#384C2312yes—
1024#384C2311yescharacteristic
1025#384C2311yescharacteristic
1026#384C2312yes—
1027#384C2312yes—
1028#384C2311yescharacteristic
1029#384C2311yescharacteristic
1030#383C2312yes—
1031#383C2312yes—
1032#382C2311yescharacteristic
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#382C2312yes—
1037#382C2312yes—
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#382C2312yes—
1044#382C2312yes—
1045#381C2312yes—
1046#381C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2311yescharacteristic
1050#380C2311yescharacteristic
1051#380C2312yes—
1052#380C2312yes—
1053#380C2312yes—
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2311yescharacteristic
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2311yescharacteristic
1066#380C2312yes—
1067#380C2312yes—
1068#380C2311yescharacteristic
1069#380C2312yes—
1070#380C2311yescharacteristic
1071#380C2311yescharacteristic
1072#380C2311yescharacteristic
1073#380C2312yes—
1074#380C2312yes—
1075#380C2312yes—
1076#380C2312yes—
1077#380C2312yes—
1078C4×C4⋊C4C2312yes—
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2312yes—
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2311yescharacteristic
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2311yescharacteristic
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2311yescharacteristic
1098C4×C4⋊C4C2311yescharacteristic
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2312yes—
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2311yescharacteristic
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2311yescharacteristic
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2311yescharacteristic
1115C4×C22⋊C4C2311yescharacteristic
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2311yescharacteristic
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2311yescharacteristic
1127C4×C22⋊C4C2311yescharacteristic
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130#376C2312yes—
1131#376C2312yes—
1132C2×#95C2312yes—
1133C2×#95C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C43C2311yescharacteristic
1146C22×Q8—24no—
1147C22×Q8—44no—
1148C22×Q8—81no—
1149C22×Q8—81no—
1150C22×Q8—82no—
1151C22×Q8—82no—
1152C22×Q8C2411yescharacteristic
1153C22×Q8C2412yes—
1154C22×Q8C2412yes—
1155C22×Q8C2411yescharacteristic
1156C22×Q8C2411yescharacteristic
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2412yes—
1161C22×Q8C2412yes—
1162C22×Q8C2412yes—
1163C22×Q8C2412yes—
1164C22×D4C2412yes—
1165C22×D4C2411yescharacteristic
1166C22×D4C2412yes—
1167C22×D4C2411yescharacteristic
1168C23×C4C2411yescharacteristic
1169C23×C4C2411yescharacteristic
1170C23×C4C2412yes—
1171C23×C4C2412yes—
1172C23×C4C2412yes—
1173C23×C4C2412yes—
1174C23×C4C2411yescharacteristic
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2411yescharacteristic
1186C23×C4C2412yes—
1187C23×C4C2411yescharacteristic
1188C23×C4C2411yescharacteristic
1189C4⋊Q8—42no—
1190C4⋊Q8—44no—
1191C4⋊Q8—44no—
1192C4⋊Q8—44no—
1193C4⋊Q8—44no—
1194C4⋊Q8—44no—
1195C4⋊Q8—81no—
1196C4⋊Q8—82no—
1197C4⋊Q8—81no—
1198C4⋊Q8—81no—
1199C4⋊Q8—82no—
1200C4⋊Q8—82no—
1201C4⋊Q8—82no—
1202C4⋊Q8—81no—
1203C4⋊Q8—81no—
1204#126C2×Q8116yescomplemented
1205#125—44no—
1206#125—44no—
1207#125—44no—
1208#125—44no—
1209#125—44no—
1210#125—44no—
1211#125—82no—
1212#125C2×Q818yescomplemented
1213#123C2×Q8116yescomplemented
1214C22⋊Q8—28no—
1215C22⋊Q8—24no—
1216C22⋊Q8—28no—
1217C22⋊Q8—44no—
1218C22⋊Q8—44no—
1219C22⋊Q8—44no—
1220C22⋊Q8—44no—
1221C22⋊Q8—44no—
1222C22⋊Q8—44no—
1223C22⋊Q8—44no—
1224C22⋊Q8—44no—
1225C22⋊Q8—44no—
1226C22⋊Q8—44no—
1227C22⋊Q8—44no—
1228C22⋊Q8—44no—
1229C22⋊Q8—44no—
1230C22⋊Q8—44no—
1231C22⋊Q8—44no—
1232C22⋊Q8—44no—
1233C22⋊Q8—82no—
1234C22⋊Q8—82no—
1235C22⋊Q8—81no—
1236C22⋊Q8—81no—
1237C22⋊Q8—82no—
1238C22⋊Q8—82no—
1239C22⋊Q8—81no—
1240#121C2×Q818yes—
1241#121C2×Q8116yescomplemented
1242#121C2×Q818yescomplemented
1243C4×Q8—44no—
1244C4×Q8—44no—
1245C4×Q8—44no—
1246C4×Q8—82no—
1247C4×Q8—81no—
1248C4×D4—28no—
1249C4×D4—24no—
1250C4×D4—24no—
1251C4×D4—28no—
1252C4×D4—44no—
1253C4×D4—44no—
1254C4×D4—44no—
1255C4×D4—44no—
1256C4×D4—44no—
1257C4×D4—44no—
1258C4×D4—44no—
1259C4×D4—81no—
1260C4×D4—81no—
1261C4×D4—82no—
1262C4×D4—82no—
1263C4×D4C2×Q8116yescomplemented
1264C4×D4C2×Q818yescomplemented
1265C4×D4C2×Q818yescomplemented
1266#117—44no—
1267#117—82no—
1268#117—81no—
1269#117C2×Q818yescomplemented
1270C2×C4⋊C4—28no—
1271C2×C4⋊C4—42no—
1272C2×C4⋊C4—42no—
1273C2×C4⋊C4—44no—
1274C2×C4⋊C4—44no—
1275C2×C4⋊C4—44no—
1276C2×C4⋊C4—81no—
1277C2×C4⋊C4—82no—
1278C2×C4⋊C4—82no—
1279C2×C4⋊C4—82no—
1280C2×C4⋊C4—81no—
1281C2×C4⋊C4—82no—
1282C2×C4⋊C4—81no—
1283C2×C4⋊C4—81no—
1284C2×C4⋊C4C2×Q818yescomplemented
1285C2×C4⋊C4C2412yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2411yescharacteristic
1288C2×C4⋊C4C2412yes—
1289C2×C4⋊C4C2412yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2412yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2412yes—
1294C2×C4⋊C4C2411yescharacteristic
1295C2×C4⋊C4C2411yescharacteristic
1296C2×C4⋊C4C2411yescharacteristic
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2411yescharacteristic
1310C2×C4⋊C4C2412yes—
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2412yes—
1313C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1323C2×C4⋊C4C2411yescharacteristic
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2412yes—
1328C2×C4⋊C4C2412yes—
1329C2×C4⋊C4C2411yescharacteristic
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2411yescharacteristic
1333C2×C4⋊C4C2411yescharacteristic
1334C2×C4⋊C4C2412yes—
1335C2×C4⋊C4C2412yes—
1336C2×C4⋊C4C2412yes—
1337C2×C4⋊C4C2412yes—
1338C2×C4⋊C4C2412yes—
1339C2×C4⋊C4C2412yes—
1340C2×C4⋊C4C2411yescharacteristic
1341C2×C4⋊C4C2412yes—
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2412yes—
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2411yescharacteristic
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2411yescharacteristic
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2411yescharacteristic
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2412yes—
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2411yescharacteristic
1402C2×C4⋊C4C2411yescharacteristic
1403C2×C4⋊C4C2412yes—
1404C2×C4⋊C4C2411yescharacteristic
1405C2×C4⋊C4C2412yes—
1406C2×C4⋊C4C2411yescharacteristic
1407C2×C4⋊C4C2412yes—
1408C2×C22⋊C4C2412yes—
1409C2×C22⋊C4C2412yes—
1410C2×C22⋊C4C2412yes—
1411C2×C22⋊C4C2412yes—
1412C2×C22⋊C4C2411yescharacteristic
1413C2×C22⋊C4C2412yes—
1414C2×C22⋊C4C2411yescharacteristic
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2411yescharacteristic
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2412yes—
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2412yes—
1423C2×C22⋊C4C2412yes—
1424C2×C22⋊C4C2412yes—
1425C2×C22⋊C4C2412yes—
1426C2×C22⋊C4C2412yes—
1427C2×C22⋊C4C2412yes—
1428C2×C22⋊C4C2412yes—
1429C2×C22⋊C4C2412yes—
1430C2×C22⋊C4C2412yes—
1431C2×C22⋊C4C2412yes—
1432C2×C22⋊C4C2412yes—
1433C2×C22⋊C4C2412yes—
1434C2×C22⋊C4C2412yes—
1435C2×C22⋊C4C2412yes—
1436C2×C22⋊C4C2412yes—
1437C2×C22⋊C4C2412yes—
1438C2×C22⋊C4C2412yes—
1439C2×C22⋊C4C2412yes—
1440C2×C22⋊C4C2412yes—
1441C2×C22⋊C4C2412yes—
1442C2×C22⋊C4C2412yes—
1443C2×C22⋊C4C2411yescharacteristic
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2411yescharacteristic
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2411yescharacteristic
1449C2×C42—81no—
1450C2×C42—81no—
1451C2×C42—82no—
1452C2×C42C2411yescharacteristic
1453C2×C42C2411yescharacteristic
1454C2×C42C2412yes—
1455C2×C42C2411yescharacteristic
1456C2×C42C2412yes—
1457C2×C42C2412yes—
1458C2×C42C2412yes—
1459C2×C42C2412yes—
1460C2×C42C2412yes—
1461C2×C42C2412yes—
1462C2×C42C2412yes—
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2411yescharacteristic
1470C2×C42C2411yescharacteristic
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2411yescharacteristic
1475C2×C42C2412yes—
1476C2×C42C2412yes—
1477C2×C42C2412yes—
1478C2×C42C2411yescharacteristic
1479C2×C42C2411yescharacteristic
1480C2×C42C2411yescharacteristic
1481C2×C42C2411yescharacteristic
1482C2×C42C2412yes—
1483C2×C42C2411yescharacteristic
1484C2×C42C2411yescharacteristic
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2411yescharacteristic
1488#95C2412yes—
1489#95C2411yescharacteristic
1490#95C2412yes—
1491#95C2412yes—
1492#95C2412yes—
1493#95C2412yes—
1494#95C2412yes—
1495#95C2412yes—
1496#95C2412yes—
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2411yescharacteristic
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2411yescharacteristic
1543#95C2411yescharacteristic
1544#95C2411yescharacteristic
1545#95C2411yescharacteristic
1546#95C2412yes—
1547#95C2412yes—
1548#95C2412yes—
1549#95C2412yes—
1550#95C2412yes—
1551#95C2412yes—
1552#95C2412yes—
1553#95C2412yes—
1554#95C2412yes—
1555#95C2412yes—
1556#95C2412yes—
1557#95C2412yes—
1558#95C2412yes—
1559#95C2412yes—
1560#95C2412yes—
1561#95C2412yes—
1562#95C2412yes—
1563#95C2412yes—
1564#95C2412yes—
1565#95C2412yes—
1566#95C2412yes—
1567#95C2412yes—
1568#95C2412yes—
1569#95C2412yes—
1570#95C2412yes—
1571#95C2412yes—
1572#95C2412yes—
1573#95C2412yes—
1574#95C2412yes—
1575#95C2412yes—
1576#95C2412yes—
1577#95C2412yes—
1578#95C2412yes—
1579#95C2412yes—
1580#95C2412yes—
1581#95C2412yes—
1582#95C2412yes—
1583#95C2412yes—
1584#95C2412yes—
1585#95C2412yes—
1586#95C2412yes—
1587#95C2412yes—
1588#95C2412yes—
1589#95C2412yes—
1590#95C2412yes—
1591#95C2412yes—
1592#95C2412yes—
1593#95C2412yes—
1594#95C2412yes—
1595#95C2412yes—
1596#95C2412yes—
1597#95C2412yes—
1598#95C2412yes—
1599#95C2412yes—
1600#95C2412yes—
1601#95C2412yes—
1602#95C2412yes—
1603#95C2412yes—
1604#95C2412yes—
1605#95C2412yes—
1606C24C2512yes—
1607C24C2511yescharacteristic
1608C24C2511yescharacteristic
1609C2×Q8—24no—
1610C2×Q8—22no—
1611C2×Q8—24no—
1612C2×Q8—22no—
1613C2×Q8—22no—
1614C2×Q8—24no—
1615C2×Q8—42no—
1616C2×Q8—42no—
1617C2×Q8—42no—
1618C2×Q8—42no—
1619C2×Q8—42no—
1620C2×Q8—41no—
1621C2×Q8—42no—
1622C2×Q8—42no—
1623C2×Q8—42no—
1624C2×Q8—41no—
1625C2×Q8—41no—
1626C2×Q8—41no—
1627C2×Q8—42no—
1628C2×Q8—42no—
1629C2×Q8—42no—
1630C2×Q8—41no—
1631C2×Q8—42no—
1632C2×Q8—41no—
1633C2×Q8—42no—
1634C2×Q8—42no—
1635C2×Q8—42no—
1636C2×Q8—42no—
1637C2×Q8—42no—
1638C2×Q8—42no—
1639C2×Q8—42no—
1640C2×Q8—42no—
1641C2×Q8—42no—
1642C2×Q8—42no—
1643C2×Q8—42no—
1644C2×Q8—42no—
1645C2×Q8—88no—
1646C2×Q8—816no—
1647C2×D4—24no—
1648C2×D4—22no—
1649C2×D4—24no—
1650C2×D4—22no—
1651C2×D4—42no—
1652C2×D4—42no—
1653C2×D4—41no—
1654C2×D4—41no—
1655C2×D4C22×Q818yes—
1656C2×D4C22×Q814yes—
1657C2×D4C22×Q814yes—
1658C2×D4C22×Q818yes—
1659C22×C4—22no—
1660C22×C4—24no—
1661C22×C4—24no—
1662C22×C4—24no—
1663C22×C4—24no—
1664C22×C4—24no—
1665C22×C4—22no—
1666C22×C4—22no—
1667C22×C4—22no—
1668C22×C4—22no—
1669C22×C4—24no—
1670C22×C4—24no—
1671C22×C4—41no—
1672C22×C4—42no—
1673C22×C4—41no—
1674C22×C4—41no—
1675C22×C4—41no—
1676C22×C4—41no—
1677C22×C4—42no—
1678C22×C4—42no—
1679C22×C4—41no—
1680C22×C4—42no—
1681C22×C4—41no—
1682C22×C4—41no—
1683C22×C4—42no—
1684C22×C4—42no—
1685C22×C4—41no—
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×C4—42no—
1704C22×C4—41no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4C22×Q814yes—
1718C22×C4C22×Q818yes—
1719C22×C4C22×Q814yes—
1720C22×C4C22×Q818yes—
1721C22×C4H(5,𝔽2)14yes—
1722C22×C4C2512yes—
1723C22×C4C2512yes—
1724C22×C4C2512yes—
1725C22×C4C2512yes—
1726C22×C4C2512yes—
1727C22×C4C2511yescharacteristic
1728C22×C4C2512yes—
1729C22×C4C2512yes—
1730C22×C4C2512yes—
1731C22×C4C2511yescharacteristic
1732C22×C4C2512yes—
1733C22×C4C2512yes—
1734C22×C4C2512yes—
1735C22×C4C2512yes—
1736C22×C4C2512yes—
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2511yescharacteristic
1744C22×C4C2512yes—
1745C22×C4C2511yescharacteristic
1746C22×C4C2512yes—
1747C22×C4C2511yescharacteristic
1748C22×C4C2511yescharacteristic
1749C22×C4C2511yescharacteristic
1750C22×C4C2512yes—
1751C22×C4C2511yescharacteristic
1752C22×C4C2512yes—
1753C22×C4C2511yescharacteristic
1754C22×C4C2511yescharacteristic
1755C22×C4C2511yescharacteristic
1756C22×C4C2511yescharacteristic
1757C22×C4C2511yescharacteristic
1758C4⋊C4—24no—
1759C4⋊C4—24no—
1760C4⋊C4—24no—
1761C4⋊C4—24no—
1762C4⋊C4—24no—
1763C4⋊C4—24no—
1764C4⋊C4—22no—
1765C4⋊C4—24no—
1766C4⋊C4—24no—
1767C4⋊C4—24no—
1768C4⋊C4—22no—
1769C4⋊C4—22no—
1770C4⋊C4—24no—
1771C4⋊C4—24no—
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—22no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—22no—
1778C4⋊C4—22no—
1779C4⋊C4—24no—
1780C4⋊C4—22no—
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—41no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—41no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—41no—
1797C4⋊C4—41no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—42no—
1802C4⋊C4—42no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—41no—
1808C4⋊C4—41no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—41no—
1812C4⋊C4—42no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—41no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—41no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—42no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—41no—
1837C4⋊C4—42no—
1838C4⋊C4—42no—
1839C4⋊C4—42no—
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⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—41no—
1857C4⋊C4—42no—
1858C4⋊C4—42no—
1859C4⋊C4—42no—
1860C4⋊C4—42no—
1861C4⋊C4—42no—
1862C4⋊C4—42no—
1863C4⋊C4—42no—
1864C4⋊C4—42no—
1865C4⋊C4—42no—
1866C4⋊C4—42no—
1867C4⋊C4—42no—
1868C4⋊C4—42no—
1869C4⋊C4—42no—
1870C4⋊C4—42no—
1871C4⋊C4—42no—
1872C4⋊C4—41no—
1873C4⋊C4—42no—
1874C4⋊C4C22×Q814yes—
1875C4⋊C4C22×Q814yes—
1876C4⋊C4C22×Q818yes—
1877C4⋊C4C22×Q814yes—
1878C4⋊C4C22×Q818yes—
1879C4⋊C4C22×Q814yes—
1880C4⋊C4C22×Q818yes—
1881C22⋊C4—24no—
1882C22⋊C4—22no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—22no—
1889C22⋊C4—22no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—42no—
1893C22⋊C4—42no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—42no—
1908C22⋊C4—42no—
1909C22⋊C4—42no—
1910C22⋊C4—42no—
1911C22⋊C4—42no—
1912C22⋊C4—42no—
1913C22⋊C4—42no—
1914C22⋊C4—42no—
1915C22⋊C4C22×Q818yes—
1916C22⋊C4C22×Q814yes—
1917C22⋊C4C22×Q818yes—
1918C22⋊C4C22×Q818yes—
1919C22⋊C4C22×Q814yes—
1920C22⋊C4C22×Q818yes—
1921C22⋊C42−1+414yes—
1922C42—22no—
1923C42—24no—
1924C42—22no—
1925C42—24no—
1926C42—22no—
1927C42—41no—
1928C42—42no—
1929C42—42no—
1930C42—41no—
1931C42—41no—
1932C42—41no—
1933C42—42no—
1934C42—41no—
1935C42—41no—
1936C42—41no—
1937C42—42no—
1938C42—42no—
1939C42—41no—
1940C42—42no—
1941C42—42no—
1942C42—42no—
1943C42—42no—
1944C42—42no—
1945C42—42no—
1946C42—42no—
1947C42—42no—
1948C42—42no—
1949C42—42no—
1950C42—42no—
1951C42—42no—
1952C42—42no—
1953C42—42no—
1954C42—42no—
1955C42—41no—
1956C42C22×Q818yes—
1957C42C22×Q814yes—
1958C23—21no—
1959C23—21no—
1960C23—21no—
1961C23—21no—
1962C23—22no—
1963C23—21no—
1964C23—21no—
1965C23—22no—
1966C23—22no—
1967C23—21no—
1968C23—21no—
1969C23—21no—
1970C23—22no—
1971C23—22no—
1972C23—22no—
1973C23—21no—
1974C23C23×Q814yes—
1975C23C23×Q812yes—
1976C23C23×Q812yes—
1977C23C2×H(5,𝔽2)12yes—
1978C23C2×2−1+412yes—
1979C23C2611yescharacteristic
1980Q8—48no—
1981Q8—84no—
1982Q8—82no—
1983Q8—84no—
1984Q8—82no—
1985Q8—82no—
1986Q8—84no—
1987Q8—84no—
1988Q8—84no—
1989Q8—84no—
1990Q8—162no—
1991Q8—162no—
1992D4—216no—
1993D4—28no—
1994D4—48no—
1995D4—44no—
1996C2×C4—21no—
1997C2×C4—22no—
1998C2×C4—21no—
1999C2×C4—22no—
2000C2×C4—21no—
2001C2×C4—21no—
2002C2×C4—22no—
2003C2×C4—21no—
2004C2×C4—22no—
2005C2×C4—21no—
2006C2×C4—21no—
2007C2×C4—22no—
2008C2×C4—22no—
2009C2×C4—21no—
2010C2×C4—21no—
2011C2×C4—21no—
2012C2×C4—21no—
2013C2×C4—21no—
2014C2×C4—21no—
2015C2×C4—21no—
2016C2×C4—21no—
2017C2×C4—21no—
2018C2×C4—21no—
2019C2×C4—21no—
2020C2×C4—21no—
2021C2×C4—21no—
2022C2×C4—22no—
2023C2×C4—21no—
2024C2×C4—22no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—22no—
2028C2×C4—22no—
2029C2×C4—22no—
2030C2×C4—22no—
2031C2×C4—22no—
2032C2×C4—22no—
2033C2×C4—22no—
2034C2×C4—21no—
2035C2×C4—22no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—21no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—21no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—22no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—22no—
2055C2×C4—21no—
2056C2×C4—22no—
2057C2×C4—21no—
2058C2×C4—22no—
2059C2×C4—21no—
2060C2×C4—22no—
2061C2×C4—22no—
2062C2×C4—22no—
2063C2×C4—22no—
2064C2×C4—22no—
2065C2×C4—22no—
2066C2×C4—22no—
2067C2×C4—22no—
2068C2×C4—22no—
2069C2×C4—22no—
2070C2×C4—22no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—22no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—21no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—21no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—48no—
2092C2×C4—48no—
2093C2×C4—44no—
2094C2×C4—44no—
2095C2×C4—44no—
2096C2×C4—44no—
2097C2×C4—44no—
2098C2×C4—82no—
2099C2×C4—84no—
2100C2×C4—84no—
2101C2×C4—84no—
2102C2×C4—84no—
2103C2×C4—84no—
2104C2×C4—84no—
2105C2×C4—84no—
2106C2×C4—84no—
2107C2×C4—84no—
2108C2×C4—84no—
2109C2×C4—84no—
2110C2×C4—162no—
2111C2×C4—162no—
2112C2×C4C23×Q812yes—
2113C2×C4C23×Q814yes—
2114C2×C4C23×Q812yes—
2115C2×C4C23×Q814yes—
2116C2×C4C23×Q812yes—
2117C2×C4C23×Q812yes—
2118C2×C4C23×Q812yes—
2119C2×C4C23×Q814yes—
2120C2×C4C2×H(5,𝔽2)12yes—
2121C2×C4C2×H(5,𝔽2)12yes—
2122C2×C4C2×2−1+412yes—
2123C2×C4C2×2−1+412yes—
2124C2×C4#58512yes—
2125C22—22no—
2126C22—22no—
2127C22—22no—
2128C22—22no—
2129C22—22no—
2130C22—22no—
2131C22—24no—
2132C22—22no—
2133C22—24no—
2134C22—22no—
2135C22—22no—
2136C22—24no—
2137C22—41no—
2138C22—42no—
2139C22—42no—
2140C22—41no—
2141C22—41no—
2142C22—42no—
2143C22—41no—
2144C22—42no—
2145C22#350314yes—
2146C22C24×Q811yescharacteristic
2147C22C22×H(5,𝔽2)11yescharacteristic
2148C22C22×2−1+411yescharacteristic
2149C22C2×#58511yescharacteristic
2150C22H(7,𝔽2)11yescharacteristic
2151C22H(7,𝔽2)11yescharacteristic
2152C222−1+611yescharacteristic
2153C4—22no—
2154C4—24no—
2155C4—24no—
2156C4—22no—
2157C4—24no—
2158C4—22no—
2159C4—22no—
2160C4—22no—
2161C4—22no—
2162C4—22no—
2163C4—22no—
2164C4—22no—
2165C4—22no—
2166C4—42no—
2167C4—42no—
2168C4—42no—
2169C4—42no—
2170C4—42no—
2171C4—42no—
2172C4—42no—
2173C4—42no—
2174C4—42no—
2175C4—41no—
2176C4—42no—
2177C4—42no—
2178C4—42no—
2179C4—41no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—42no—
2187C4—42no—
2188C4—41no—
2189C2—24no—
2190C2—44no—
2191C2—42no—
2192C2C2×#350311yescharacteristic
2193C2#6285411yescharacteristic
2194C2#6286311yescharacteristic
2195C2#6294811yescharacteristic
2196C2#6296011yescharacteristic
2197C2#6298911yescharacteristic
2198C2#6305811yescharacteristic
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. #59830C2semidirect
2. #59454C2semidirect
3. C2×#2805C2semidirect
4. #51082C2semidirect
5. #51077C2semidirect
6. #51076C2semidirect
7. #47987C2semidirect
8. #47981C2semidirect
9. #47965C2semidirect
10. #47736C2semidirect
11. #46440C2semidirect
12. #46006C2semidirect
13. #45793C2semidirect
14. #44189C2semidirect
15. #43981C2semidirect
16. #43128C2semidirect
17. #43128C2semidirect
18. #43100C2semidirect
19. #42005C2semidirect
20. #40618C2semidirect
21. #40618C2semidirect
22. #40614C2semidirect
23. #39751C2semidirect
24. #39701C2semidirect
25. #39631C2semidirect
26. #39620C2semidirect
27. #39615C2semidirect
28. #39610C2semidirect
29. #39493C2semidirect
30. #38447C2semidirect
31. #38098C2semidirect
32. #37308C2semidirect
33. #37137C2semidirect
34. #36261C2semidirect
35. #35928C2semidirect
36. #35399C2semidirect
37. #35016C2semidirect
399. #553Q8semidirect
1204. #126C2×Q8semidirect
1212. #125C2×Q8semidirect
1213. #123C2×Q8semidirect
1241. #121C2×Q8semidirect
1242. #121C2×Q8semidirect
1263. C4×D4C2×Q8semidirect
1264. C4×D4C2×Q8semidirect
1265. C4×D4C2×Q8semidirect
1269. #117C2×Q8semidirect
1284. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#598302
#594542
C2×#28052
#510822
#510772
#510762
#479872
#479812
#479652
#477362
#464402
#460062
#457932
#441892
#439812
#431282
#431002
#420052
#406182
#406142
#397512
#397012
#396312
#396202
#396152
#396102
#394932
#384472
#380982
#373082
#371372
#362612
#359282
#353992
#350162
#344972
#343232