Finite Group Databasebeta

← #7901005

Subgroups — #7901005

Order 512.

4593 conjugacy classes of subgroups.

The subgroup lattice has 2214 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59886C211yesmaximal, characteristic, complemented
2#59831C212yesmaximal, complemented
3C2×#2806C211yesmaximal, characteristic, complemented
4#51215C212yesmaximal, complemented
5#51078C212yesmaximal, complemented
6#50708C212yesmaximal, complemented
7#48845C212yesmaximal, complemented
8#47983C212yesmaximal, complemented
9#47982C212yesmaximal, complemented
10#47732C212yesmaximal, complemented
11#46439C212yesmaximal, complemented
12#46007C211yesmaximal, characteristic, complemented
13#45792C211yesmaximal, characteristic, complemented
14#44317C212yesmaximal, complemented
15#44003C212yesmaximal, complemented
16#43529C212yesmaximal, complemented
17#43124C212yesmaximal, complemented
18#43100C212yesmaximal, complemented
19#42005C212yesmaximal, complemented
20#40619C212yesmaximal, complemented
21#40615C212yesmaximal, complemented
22#40614C212yesmaximal, complemented
23#39703C211yesmaximal, characteristic, complemented
24#39668C212yesmaximal, complemented
25#39632C211yesmaximal, characteristic, complemented
26#39632C211yesmaximal, characteristic, complemented
27#39623C211yesmaximal, characteristic, complemented
28#39493C211yesmaximal, characteristic, complemented
29#39175C212yesmaximal, complemented
30#38446C211yesmaximal, characteristic, complemented
31#38100C212yesmaximal, complemented
32#37309C211yesmaximal, characteristic, complemented
33#37136C211yesmaximal, characteristic, complemented
34#36276C211yesmaximal, characteristic, complemented
35#35950C212yesmaximal, complemented
36#35398C212yesmaximal, complemented
37#35016C211yesmaximal, characteristic, complemented
38#34497C212yesmaximal
39#34323C211yesmaximal, characteristic
40C2×#554C2212yes—
41C2×#554C2212yes—
42C2×#554C2211yescharacteristic
43C2×#553C2211yescharacteristic
44C2×D4×Q8C2211yescharacteristic
45#2863C2211yescharacteristic
46#2862C2211yescharacteristic
47#2862C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic
51#2855C2211yescharacteristic
52#2851C2212yes—
53#2845C2212yes—
54#2844C2212yes—
55#2841C2212yes—
56#2841C2212yes—
57#2806C2212yes—
58#2806C2211yescharacteristic
59#2806C2212yes—
60#2806C2212yes—
61#2806C2211yescharacteristic
62#2806C2211yescharacteristic
63#2806C2212yes—
64#2806C2211yescharacteristic
65#2806C2212yes—
66#2806C2212yes—
67#2806C2211yescharacteristic
68#2806C2211yescharacteristic
69#2806C2211yescharacteristic
70#2806C2211yescharacteristic
71#2806C2211yescharacteristic
72#2805C2212yes—
73#2805C2212yes—
74#2805C2211yescharacteristic
75#2804C2211yescharacteristic
76#2804C2211yescharacteristic
77#2804C2211yescharacteristic
78#2802C2212yes—
79#2802C2212yes—
80#2792C2212yes—
81#2792C2212yes—
82#2792C2212yes—
83#2791C2212yes—
84#2791C2212yes—
85#2791C2212yes—
86#2791C2212yes—
87#2791C2212yes—
88#2791C2212yes—
89#2790C2212yes—
90#2790C2212yes—
91#2790C2212yes—
92#2790C2212yes—
93#2790C2212yes—
94#2788C2212yes—
95#2788C2212yes—
96#2788C2212yes—
97#2788C2212yes—
98#2788C2212yes—
99#2780C2212yes—
100#2774C2212yes—
101#2768C2212yes—
102#2768C2212yes—
103#2768C2212yes—
104#2763C2212yes—
105#2763C2212yes—
106#2755C2212yes—
107#2755C2212yes—
108#2755C2212yes—
109#2755C2212yes—
110#2755C2212yes—
111#2755C2212yes—
112#2755C2212yes—
113#2755C2212yes—
114#2748C2212yes—
115#2742C2212yes—
116#2734C2211yescharacteristic
117#2734C2212yes—
118#2734C2212yes—
119#2734C2211yescharacteristic
120#2732C2212yes—
121#2732C2211yescharacteristic
122#2729C2212yes—
123#2729C2212yes—
124#2729C2212yes—
125#2729C2212yes—
126#2729C2212yes—
127#2726C2212yes—
128#2726C2212yes—
129#2720C2212yes—
130#2720C2212yes—
131#2720C2212yes—
132#2713C2212yes—
133#2713C2212yes—
134#2713C2212yes—
135#2713C2212yes—
136#2704C2212yes—
137#2704C2212yes—
138#2704C2212yes—
139#2704C2212yes—
140#2704C2212yes—
141#2704C2212yes—
142#2704C2212yes—
143#2692C2212yes—
144#2692C2212yes—
145#2692C2212yes—
146#2692C2212yes—
147#2683C2212yes—
148#2677C2212yes—
149#2677C2212yes—
150#2677C2212yes—
151#2666C2212yes—
152#2666C2212yes—
153#2666C2212yes—
154#2666C2212yes—
155#2666C2212yes—
156#2665C2212yes—
157#2660C2212yes—
158#2659C2212yes—
159#2659C2212yes—
160#2659C2212yes—
161#2647C2212yes—
162#2646C2212yes—
163#2646C2212yes—
164#2646C2212yes—
165#2629C2212yes—
166#2629C2212yes—
167#2628C2212yes—
168#2612C2212yes—
169#2607C2212yes—
170#2605C2212yes—
171#2605C2212yes—
172#2590C2212yes—
173#2590C2212yes—
174#2589C2212yes—
175#2589C2212yes—
176#2589C2212yes—
177#2589C2212yes—
178#2589C2212yes—
179#2588C2212yes—
180#2588C2212yes—
181#2587C2212yes—
182#2586C2212yes—
183#2586C2212yes—
184#2586C2212yes—
185#2586C2212yes—
186#2585C2212yes—
187#2585C2212yes—
188#2585C2212yes—
189#2584C2212yes—
190#2583C2212yes—
191#2583C2212yes—
192#2579C2212yes—
193#2579C2212yes—
194#2579C2212yes—
195#2579C2212yes—
196#2579C2212yes—
197#2574C2212yes—
198#2574C2212yes—
199#2570C2212yes—
200#2570C2212yes—
201#2569C2212yes—
202#2569C2212yes—
203#2567C2212yes—
204#2567C2211yescharacteristic
205#2564C2212yes—
206#2556C2212yes—
207#2552C2212yes—
208#2552C2212yes—
209#2552C2212yes—
210#2551C2212yes—
211#2550C2212yes—
212#2550C2212yes—
213#2550C2212yes—
214#2550C2212yes—
215#2550C2212yes—
216#2550C2212yes—
217#2549C2212yes—
218#2549C2212yes—
219#2549C2212yes—
220#2549C2212yes—
221#2549C2212yes—
222#2549C2212yes—
223#2549C2212yes—
224#2549C2212yes—
225#2549C2212yes—
226#2549C2212yes—
227#2546C2211yescharacteristic
228#2546C2212yes—
229#2546C2212yes—
230#2538C2212yes—
231#2520C2212yes—
232#2520C2212yes—
233#2520C2212yes—
234#2511C2212yes—
235#2511C2211yescharacteristic
236#2511C2212yes—
237#2507C2212yes—
238#2507C2212yes—
239#2506C2212yes—
240#2506C2212yes—
241#2505C2212yes—
242#2505C2212yes—
243#2505C2212yes—
244#2502C2212yes—
245#2502C2212yes—
246#2502C2212yes—
247#2502C2211yescharacteristic
248#2502C2211yescharacteristic
249#2492C2212yes—
250#2492C2212yes—
251#2492C2211yescharacteristic
252#2487C2212yes—
253#2473C2212yes—
254#2473C2212yes—
255#2473C2212yes—
256#2473C2212yes—
257#2473C2212yes—
258#2473C2212yes—
259#2465C2212yes—
260#2465C2212yes—
261#2465C2212yes—
262#2465C2212yes—
263#2465C2212yes—
264#2465C2212yes—
265#2462C2212yes—
266#2462C2212yes—
267#2462C2212yes—
268#2452C2212yes—
269#2452C2212yes—
270#2451C2212yes—
271#2451C2212yes—
272#2450C2212yes—
273#2450C2212yes—
274#2450C2212yes—
275#2450C2212yes—
276#2450C2212yes—
277#2450C2212yes—
278#2450C2212yes—
279#2450C2212yes—
280#2450C2212yes—
281#2450C2212yes—
282#2449C2212yes—
283#2449C2212yes—
284#2449C2212yes—
285#2449C2212yes—
286#2449C2212yes—
287#2446C2212yes—
288#2446C2212yes—
289#2446C2211yescharacteristic
290#2442C2212yes—
291#2442C2212yes—
292#2440C2212yes—
293#2440C2212yes—
294#2440C2212yes—
295#2440C2212yes—
296#2440C2212yes—
297#2440C2211yescharacteristic
298#2440C2212yes—
299#2440C2212yes—
300#2439C2212yes—
301#2439C2212yes—
302#2438C2212yes—
303#2438C2212yes—
304#2438C2212yes—
305#2434C2212yes—
306#2434C2211yescharacteristic
307#2434C2211yescharacteristic
308#2434C2211yescharacteristic
309#2429C2212yes—
310#2429C2211yescharacteristic
311#2423C2212yes—
312#2417C2212yes—
313#2417C2211yescharacteristic
314#2417C2212yes—
315#2409C2212yes—
316#2409C2212yes—
317#2409C2212yes—
318#2409C2211yescharacteristic
319#2399C2212yes—
320C2×#398C2212yes—
321C2×#398C2212yes—
322C2×#398C2212yes—
323C2×#395C2212yes—
324#2383C2212yes—
325#2382C2212yes—
326#2377C2212yes—
327#2376C2212yes—
328#2373C2212yes—
329#2373C2212yes—
330#2370C2211yescharacteristic
331#2368C2212yes—
332#2365C2212yes—
333#2364C2212yes—
334#2364C2212yes—
335#2363C2211yescharacteristic
336#2361C2211yescharacteristic
337#2361C2212yes—
338#2361C2212yes—
339#2359C2212yes—
340#2359C2212yes—
341#2352C2212yes—
342#2352C2211yescharacteristic
343#2352C2212yes—
344#2349C2211yescharacteristic
345#2349C2212yes—
346#2349C2212yes—
347#2349C2212yes—
348#2349C2212yes—
349D4×C4⋊C4C2212yes—
350D4×C4⋊C4C2212yes—
351D4×C4⋊C4C2212yes—
352#2346C2211yescharacteristic
353#2345C2211yescharacteristic
354#2345C2212yes—
355#2343C2212yes—
356#2336C2212yes—
357#2335C2212yes—
358#2335C2212yes—
359#2334C2212yes—
360#2334C2212yes—
361#2334C2212yes—
362#2331C2212yes—
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×#391C2212yes—
385C2×#391C2211yescharacteristic
386C2×#391C2211yescharacteristic
387C2×#391C2211yescharacteristic
388#2293C2211yescharacteristic
389C2×#389C2211yescharacteristic
390C2×#389C2212yes—
391#2290C2212yes—
392C2×#387C2212yes—
393#2275C2212yes—
394C42×D4C2211yescharacteristic
395C23×Q8C2311yescharacteristic
396C23×Q8C2311yescharacteristic
397C23×Q8C2311yescharacteristic
398#554—44no—
399#554—48no—
400#554—48no—
401#553Q8116yescomplemented
402D4×Q8—44no—
403C2×C4⋊Q8C2311yescharacteristic
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2312yes—
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2312yes—
409C2×C4⋊Q8C2312yes—
410C2×C4⋊Q8C2312yes—
411C2×C4⋊Q8C2312yes—
412C2×C4⋊Q8C2311yescharacteristic
413C2×C4⋊Q8C2311yescharacteristic
414C2×C4⋊Q8C2311yescharacteristic
415C2×C4⋊Q8C2311yescharacteristic
416C2×C4⋊Q8C2311yescharacteristic
417C2×C4⋊Q8C2312yes—
418C2×#126C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2312yes—
424C2×#125C2312yes—
425C2×#125C2312yes—
426C2×#125C2312yes—
427C2×#125C2311yescharacteristic
428C2×#123C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2311yescharacteristic
438C2×C22⋊Q8C2311yescharacteristic
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2312yes—
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2311yescharacteristic
449C2×C22⋊Q8C2311yescharacteristic
450C2×C22⋊Q8C2311yescharacteristic
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2312yes—
457C2×#121C2312yes—
458C2×#121C2311yescharacteristic
459C2×#121C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2311yescharacteristic
487C2×#117C2311yescharacteristic
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2311yescharacteristic
498C22×C4⋊C4C2312yes—
499C22×C4⋊C4C2311yescharacteristic
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2311yescharacteristic
502C22×C42C2312yes—
503C22×C42C2311yescharacteristic
504C22×C42C2311yescharacteristic
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#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2312yes—
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2312yes—
554#398C2312yes—
555#398C2312yes—
556#398C2312yes—
557#398C2312yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2312yes—
563#398C2312yes—
564#398C2312yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2312yes—
570#398C2312yes—
571#398C2312yes—
572#398C2312yes—
573#398C2312yes—
574#398C2312yes—
575#398C2312yes—
576#398C2312yes—
577#398C2312yes—
578#398C2312yes—
579#398C2312yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2312yes—
585#398C2312yes—
586#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#398C2312yes—
609#398C2312yes—
610#398C2312yes—
611#398C2312yes—
612#398C2312yes—
613#398C2312yes—
614#398C2312yes—
615#398C2312yes—
616#398C2312yes—
617#398C2312yes—
618#398C2312yes—
619#398C2312yes—
620#398C2312yes—
621#396C2312yes—
622#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
629#396C2312yes—
630#396C2312yes—
631#396C2312yes—
632#396C2312yes—
633#396C2312yes—
634#396C2312yes—
635#396C2312yes—
636#396C2312yes—
637#396C2312yes—
638#396C2312yes—
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#395C2312yes—
677#395C2312yes—
678#395C2312yes—
679#395C2312yes—
680#395C2312yes—
681#393C2312yes—
682#393C2312yes—
683#393C2312yes—
684#393C2312yes—
685#393C2312yes—
686#393C2312yes—
687#393C2312yes—
688#393C2312yes—
689#393C2312yes—
690#393C2312yes—
691#393C2312yes—
692#393C2312yes—
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2312yes—
697#391C2312yes—
698#391C2311yescharacteristic
699#391C2312yes—
700#391C2312yes—
701#391C2312yes—
702#391C2312yes—
703#391C2312yes—
704#391C2311yescharacteristic
705#391C2312yes—
706#391C2312yes—
707#391C2312yes—
708#391C2312yes—
709#391C2312yes—
710#391C2312yes—
711#391C2312yes—
712#391C2311yescharacteristic
713#391C2312yes—
714#391C2312yes—
715#391C2311yescharacteristic
716#391C2312yes—
717#391C2311yescharacteristic
718#391C2311yescharacteristic
719#391C2311yescharacteristic
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2312yes—
726#391C2311yescharacteristic
727#391C2311yescharacteristic
728#391C2311yescharacteristic
729#391C2311yescharacteristic
730#391C2311yescharacteristic
731#391C2312yes—
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#391C2311yescharacteristic
737#391C2311yescharacteristic
738#391C2312yes—
739#391C2312yes—
740#391C2312yes—
741#391C2311yescharacteristic
742#391C2312yes—
743#391C2312yes—
744#391C2312yes—
745#391C2312yes—
746#391C2311yescharacteristic
747#391C2312yes—
748#391C2311yescharacteristic
749#391C2312yes—
750#390C2312yes—
751#390C2312yes—
752#390C2311yescharacteristic
753#390C2312yes—
754#390C2311yescharacteristic
755#389C2311yescharacteristic
756#389C2311yescharacteristic
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#389C2311yescharacteristic
775#389C2312yes—
776#389C2312yes—
777#389C2312yes—
778#389C2312yes—
779#389C2312yes—
780#389C2312yes—
781#389C2311yescharacteristic
782#389C2312yes—
783#389C2312yes—
784#389C2312yes—
785#389C2312yes—
786#389C2312yes—
787#389C2312yes—
788#389C2312yes—
789#389C2312yes—
790#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2312yes—
797#389C2312yes—
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2312yes—
805#389C2312yes—
806#389C2312yes—
807#389C2311yescharacteristic
808#389C2312yes—
809#389C2311yescharacteristic
810#389C2311yescharacteristic
811#389C2311yescharacteristic
812#389C2312yes—
813#389C2311yescharacteristic
814#389C2312yes—
815#389C2312yes—
816#389C2312yes—
817#389C2312yes—
818#389C2312yes—
819#389C2311yescharacteristic
820#389C2311yescharacteristic
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2312yes—
826#389C2312yes—
827#389C2312yes—
828#389C2312yes—
829#389C2312yes—
830#389C2312yes—
831#389C2311yescharacteristic
832#389C2312yes—
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#388C2312yes—
856#388C2312yes—
857#388C2312yes—
858#388C2312yes—
859#388C2312yes—
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#387C2312yes—
941#387C2312yes—
942#387C2312yes—
943#387C2312yes—
944#387C2312yes—
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#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
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#385C2312yes—
1019#385C2312yes—
1020#385C2312yes—
1021#385C2312yes—
1022#385C2312yes—
1023#384C2311yescharacteristic
1024#384C2312yes—
1025#384C2311yescharacteristic
1026#384C2311yescharacteristic
1027#384C2312yes—
1028#384C2312yes—
1029#384C2312yes—
1030#384C2311yescharacteristic
1031#384C2312yes—
1032#384C2312yes—
1033#384C2312yes—
1034#384C2312yes—
1035#383C2312yes—
1036#383C2312yes—
1037#382C2311yescharacteristic
1038#382C2312yes—
1039#382C2312yes—
1040#382C2312yes—
1041#382C2312yes—
1042#382C2312yes—
1043#382C2312yes—
1044#382C2312yes—
1045#382C2312yes—
1046#382C2312yes—
1047#382C2312yes—
1048#382C2312yes—
1049#381C2312yes—
1050#381C2312yes—
1051#380C2312yes—
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2312yes—
1061#380C2312yes—
1062#380C2312yes—
1063#380C2312yes—
1064#380C2312yes—
1065#380C2312yes—
1066#380C2311yescharacteristic
1067#380C2312yes—
1068#380C2312yes—
1069#380C2311yescharacteristic
1070#380C2312yes—
1071#380C2312yes—
1072#380C2312yes—
1073#380C2312yes—
1074#380C2311yescharacteristic
1075#380C2312yes—
1076#380C2312yes—
1077#380C2312yes—
1078#380C2312yes—
1079#380C2312yes—
1080C4×C4⋊C4C2312yes—
1081C4×C4⋊C4C2311yescharacteristic
1082C4×C4⋊C4C2311yescharacteristic
1083C4×C4⋊C4C2312yes—
1084C4×C4⋊C4C2312yes—
1085C4×C4⋊C4C2312yes—
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2311yescharacteristic
1091C4×C4⋊C4C2312yes—
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2311yescharacteristic
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2312yes—
1096C4×C4⋊C4C2312yes—
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C4⋊C4C2311yescharacteristic
1105C4×C4⋊C4C2312yes—
1106C4×C4⋊C4C2312yes—
1107C4×C4⋊C4C2311yescharacteristic
1108C4×C4⋊C4C2311yescharacteristic
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2311yescharacteristic
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2311yescharacteristic
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2311yescharacteristic
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2311yescharacteristic
1128C4×C22⋊C4C2311yescharacteristic
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2311yescharacteristic
1131#376C2312yes—
1132#376C2312yes—
1133C2×#95C2312yes—
1134C2×#95C2312yes—
1135C2×#95C2312yes—
1136C2×#95C2312yes—
1137C2×#95C2312yes—
1138C2×#95C2312yes—
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C43C2311yescharacteristic
1147C22×Q8—24no—
1148C22×Q8—42no—
1149C22×Q8—42no—
1150C22×Q8—42no—
1151C22×Q8—42no—
1152C22×Q8—81no—
1153C22×Q8—81no—
1154C22×Q8—81no—
1155C22×Q8—81no—
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2411yescharacteristic
1159C22×Q8C2411yescharacteristic
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2412yes—
1162C22×Q8C2411yescharacteristic
1163C22×Q8C2412yes—
1164C22×Q8C2411yescharacteristic
1165C22×Q8C2411yescharacteristic
1166C22×Q8C2411yescharacteristic
1167C22×Q8C2412yes—
1168C22×Q8C2412yes—
1169C22×Q8C2412yes—
1170C22×D4C2411yescharacteristic
1171C22×D4C2412yes—
1172C22×D4C2412yes—
1173C22×D4C2411yescharacteristic
1174C23×C4C2411yescharacteristic
1175C23×C4C2411yescharacteristic
1176C23×C4C2412yes—
1177C23×C4C2412yes—
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2411yescharacteristic
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2411yescharacteristic
1192C23×C4C2412yes—
1193C23×C4C2411yescharacteristic
1194C23×C4C2411yescharacteristic
1195C4⋊Q8—42no—
1196C4⋊Q8—42no—
1197C4⋊Q8—44no—
1198C4⋊Q8—42no—
1199C4⋊Q8—44no—
1200C4⋊Q8—44no—
1201C4⋊Q8—44no—
1202C4⋊Q8—44no—
1203C4⋊Q8—81no—
1204C4⋊Q8—81no—
1205C4⋊Q8—81no—
1206C4⋊Q8—82no—
1207C4⋊Q8—82no—
1208C4⋊Q8—81no—
1209C4⋊Q8—81no—
1210#126C2×Q8116yescomplemented
1211#125—44no—
1212#125—44no—
1213#125—44no—
1214#125—44no—
1215#125—44no—
1216#125—82no—
1217#125—82no—
1218#125—82no—
1219#125C2×Q818yescomplemented
1220#123C2×Q8116yescomplemented
1221C22⋊Q8—24no—
1222C22⋊Q8—28no—
1223C22⋊Q8—28no—
1224C22⋊Q8—28no—
1225C22⋊Q8—42no—
1226C22⋊Q8—44no—
1227C22⋊Q8—42no—
1228C22⋊Q8—44no—
1229C22⋊Q8—44no—
1230C22⋊Q8—44no—
1231C22⋊Q8—44no—
1232C22⋊Q8—44no—
1233C22⋊Q8—44no—
1234C22⋊Q8—44no—
1235C22⋊Q8—44no—
1236C22⋊Q8—42no—
1237C22⋊Q8—44no—
1238C22⋊Q8—42no—
1239C22⋊Q8—44no—
1240C22⋊Q8—82no—
1241C22⋊Q8—82no—
1242C22⋊Q8—81no—
1243C22⋊Q8—81no—
1244C22⋊Q8—82no—
1245C22⋊Q8—82no—
1246C22⋊Q8—82no—
1247C22⋊Q8—81no—
1248C22⋊Q8—82no—
1249#121C2×Q8116yes—
1250#121C2×Q818yescomplemented
1251#121C2×Q818yescomplemented
1252C4×Q8—42no—
1253C4×Q8—44no—
1254C4×Q8—42no—
1255C4×Q8—44no—
1256C4×Q8—82no—
1257C4×Q8—81no—
1258C4×D4—28no—
1259C4×D4—24no—
1260C4×D4—24no—
1261C4×D4—28no—
1262C4×D4—44no—
1263C4×D4—44no—
1264C4×D4—44no—
1265C4×D4—44no—
1266C4×D4—44no—
1267C4×D4—44no—
1268C4×D4—44no—
1269C4×D4—81no—
1270C4×D4—81no—
1271C4×D4—82no—
1272C4×D4—82no—
1273C4×D4C2×Q818yes—
1274C4×D4C2×Q8116yescomplemented
1275C4×D4C2×Q818yescomplemented
1276#117—44no—
1277#117—82no—
1278#117—81no—
1279#117C2×Q818yescomplemented
1280C2×C4⋊C4—44no—
1281C2×C4⋊C4—42no—
1282C2×C4⋊C4—44no—
1283C2×C4⋊C4—44no—
1284C2×C4⋊C4—42no—
1285C2×C4⋊C4—44no—
1286C2×C4⋊C4—44no—
1287C2×C4⋊C4—81no—
1288C2×C4⋊C4—82no—
1289C2×C4⋊C4—82no—
1290C2×C4⋊C4—82no—
1291C2×C4⋊C4—81no—
1292C2×C4⋊C4—82no—
1293C2×C4⋊C4C2×Q818yescomplemented
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2412yes—
1296C2×C4⋊C4C2412yes—
1297C2×C4⋊C4C2412yes—
1298C2×C4⋊C4C2412yes—
1299C2×C4⋊C4C2412yes—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2412yes—
1307C2×C4⋊C4C2412yes—
1308C2×C4⋊C4C2412yes—
1309C2×C4⋊C4C2412yes—
1310C2×C4⋊C4C2411yescharacteristic
1311C2×C4⋊C4C2412yes—
1312C2×C4⋊C4C2411yescharacteristic
1313C2×C4⋊C4C2412yes—
1314C2×C4⋊C4C2412yes—
1315C2×C4⋊C4C2412yes—
1316C2×C4⋊C4C2412yes—
1317C2×C4⋊C4C2412yes—
1318C2×C4⋊C4C2411yescharacteristic
1319C2×C4⋊C4C2411yescharacteristic
1320C2×C4⋊C4C2412yes—
1321C2×C4⋊C4C2412yes—
1322C2×C4⋊C4C2412yes—
1323C2×C4⋊C4C2412yes—
1324C2×C4⋊C4C2412yes—
1325C2×C4⋊C4C2412yes—
1326C2×C4⋊C4C2412yes—
1327C2×C4⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2412yes—
1333C2×C4⋊C4C2411yescharacteristic
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×C4⋊C4C2411yescharacteristic
1343C2×C4⋊C4C2412yes—
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2411yescharacteristic
1349C2×C4⋊C4C2412yes—
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2412yes—
1355C2×C4⋊C4C2412yes—
1356C2×C4⋊C4C2412yes—
1357C2×C4⋊C4C2412yes—
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2411yescharacteristic
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2411yescharacteristic
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2412yes—
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2412yes—
1390C2×C4⋊C4C2412yes—
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2412yes—
1397C2×C4⋊C4C2412yes—
1398C2×C4⋊C4C2411yescharacteristic
1399C2×C4⋊C4C2412yes—
1400C2×C4⋊C4C2412yes—
1401C2×C4⋊C4C2412yes—
1402C2×C4⋊C4C2412yes—
1403C2×C4⋊C4C2412yes—
1404C2×C4⋊C4C2412yes—
1405C2×C4⋊C4C2412yes—
1406C2×C4⋊C4C2412yes—
1407C2×C4⋊C4C2412yes—
1408C2×C4⋊C4C2411yescharacteristic
1409C2×C4⋊C4C2411yescharacteristic
1410C2×C4⋊C4C2412yes—
1411C2×C4⋊C4C2411yescharacteristic
1412C2×C4⋊C4C2412yes—
1413C2×C4⋊C4C2411yescharacteristic
1414C2×C4⋊C4C2412yes—
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2411yescharacteristic
1420C2×C22⋊C4C2412yes—
1421C2×C22⋊C4C2412yes—
1422C2×C22⋊C4C2411yescharacteristic
1423C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1444C2×C22⋊C4C2412yes—
1445C2×C22⋊C4C2412yes—
1446C2×C22⋊C4C2412yes—
1447C2×C22⋊C4C2412yes—
1448C2×C22⋊C4C2412yes—
1449C2×C22⋊C4C2412yes—
1450C2×C22⋊C4C2411yescharacteristic
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2411yescharacteristic
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2411yescharacteristic
1456C2×C42—81no—
1457C2×C42—81no—
1458C2×C42—82no—
1459C2×C42C2411yescharacteristic
1460C2×C42C2412yes—
1461C2×C42C2411yescharacteristic
1462C2×C42C2411yescharacteristic
1463C2×C42C2412yes—
1464C2×C42C2412yes—
1465C2×C42C2412yes—
1466C2×C42C2412yes—
1467C2×C42C2412yes—
1468C2×C42C2412yes—
1469C2×C42C2412yes—
1470C2×C42C2412yes—
1471C2×C42C2412yes—
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2412yes—
1475C2×C42C2412yes—
1476C2×C42C2411yescharacteristic
1477C2×C42C2411yescharacteristic
1478C2×C42C2412yes—
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2411yescharacteristic
1482C2×C42C2412yes—
1483C2×C42C2412yes—
1484C2×C42C2411yescharacteristic
1485C2×C42C2412yes—
1486C2×C42C2411yescharacteristic
1487C2×C42C2411yescharacteristic
1488C2×C42C2412yes—
1489C2×C42C2411yescharacteristic
1490C2×C42C2411yescharacteristic
1491C2×C42C2411yescharacteristic
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2411yescharacteristic
1495#95C2412yes—
1496#95C2411yescharacteristic
1497#95C2412yes—
1498#95C2412yes—
1499#95C2412yes—
1500#95C2412yes—
1501#95C2412yes—
1502#95C2412yes—
1503#95C2412yes—
1504#95C2412yes—
1505#95C2412yes—
1506#95C2412yes—
1507#95C2412yes—
1508#95C2412yes—
1509#95C2412yes—
1510#95C2412yes—
1511#95C2412yes—
1512#95C2412yes—
1513#95C2412yes—
1514#95C2412yes—
1515#95C2412yes—
1516#95C2412yes—
1517#95C2412yes—
1518#95C2412yes—
1519#95C2412yes—
1520#95C2412yes—
1521#95C2412yes—
1522#95C2412yes—
1523#95C2412yes—
1524#95C2412yes—
1525#95C2412yes—
1526#95C2412yes—
1527#95C2412yes—
1528#95C2412yes—
1529#95C2412yes—
1530#95C2412yes—
1531#95C2412yes—
1532#95C2412yes—
1533#95C2412yes—
1534#95C2412yes—
1535#95C2412yes—
1536#95C2412yes—
1537#95C2412yes—
1538#95C2412yes—
1539#95C2412yes—
1540#95C2412yes—
1541#95C2412yes—
1542#95C2411yescharacteristic
1543#95C2412yes—
1544#95C2412yes—
1545#95C2412yes—
1546#95C2412yes—
1547#95C2412yes—
1548#95C2411yescharacteristic
1549#95C2411yescharacteristic
1550#95C2411yescharacteristic
1551#95C2411yescharacteristic
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—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613C24C2512yes—
1614C24C2511yescharacteristic
1615C24C2511yescharacteristic
1616C2×Q8—24no—
1617C2×Q8—24no—
1618C2×Q8—24no—
1619C2×Q8—22no—
1620C2×Q8—24no—
1621C2×Q8—22no—
1622C2×Q8—22no—
1623C2×Q8—22no—
1624C2×Q8—22no—
1625C2×Q8—22no—
1626C2×Q8—22no—
1627C2×Q8—41no—
1628C2×Q8—41no—
1629C2×Q8—41no—
1630C2×Q8—42no—
1631C2×Q8—42no—
1632C2×Q8—41no—
1633C2×Q8—41no—
1634C2×Q8—41no—
1635C2×Q8—42no—
1636C2×Q8—41no—
1637C2×Q8—42no—
1638C2×Q8—41no—
1639C2×Q8—42no—
1640C2×Q8—42no—
1641C2×Q8—41no—
1642C2×Q8—42no—
1643C2×Q8—42no—
1644C2×Q8—42no—
1645C2×Q8—42no—
1646C2×Q8—41no—
1647C2×Q8—41no—
1648C2×Q8—41no—
1649C2×Q8—41no—
1650C2×Q8—41no—
1651C2×Q8—42no—
1652C2×Q8—42no—
1653C2×Q8—42no—
1654C2×Q8—42no—
1655C2×Q8—42no—
1656C2×Q8—42no—
1657C2×Q8—42no—
1658C2×Q8—88no—
1659C2×Q8—88no—
1660C2×Q8—88no—
1661C2×D4—22no—
1662C2×D4—24no—
1663C2×D4—22no—
1664C2×D4—24no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—41no—
1668C2×D4—41no—
1669C2×D4C22×Q814yes—
1670C2×D4C22×Q818yes—
1671C2×D4C22×Q814yes—
1672C2×D4C22×Q818yes—
1673C22×C4—22no—
1674C22×C4—24no—
1675C22×C4—24no—
1676C22×C4—24no—
1677C22×C4—24no—
1678C22×C4—24no—
1679C22×C4—22no—
1680C22×C4—22no—
1681C22×C4—22no—
1682C22×C4—24no—
1683C22×C4—24no—
1684C22×C4—22no—
1685C22×C4—41no—
1686C22×C4—42no—
1687C22×C4—41no—
1688C22×C4—41no—
1689C22×C4—41no—
1690C22×C4—41no—
1691C22×C4—42no—
1692C22×C4—42no—
1693C22×C4—42no—
1694C22×C4—41no—
1695C22×C4—42no—
1696C22×C4—42no—
1697C22×C4—41no—
1698C22×C4—41no—
1699C22×C4—42no—
1700C22×C4—41no—
1701C22×C4—42no—
1702C22×C4—42no—
1703C22×C4—42no—
1704C22×C4—42no—
1705C22×C4—42no—
1706C22×C4—42no—
1707C22×C4—42no—
1708C22×C4—42no—
1709C22×C4—42no—
1710C22×C4—42no—
1711C22×C4—42no—
1712C22×C4—41no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—42no—
1716C22×C4—42no—
1717C22×C4—42no—
1718C22×C4—42no—
1719C22×C4—42no—
1720C22×C4—42no—
1721C22×C4—42no—
1722C22×C4—42no—
1723C22×C4—42no—
1724C22×C4—42no—
1725C22×C4—42no—
1726C22×C4—42no—
1727C22×C4—42no—
1728C22×C4—42no—
1729C22×C4—42no—
1730C22×C4—42no—
1731C22×C4C22×Q814yes—
1732C22×C4C22×Q818yes—
1733C22×C4C22×Q814yes—
1734C22×C4C22×Q818yes—
1735C22×C42−1+414yes—
1736C22×C4C2511yescharacteristic
1737C22×C4C2512yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2512yes—
1741C22×C4C2512yes—
1742C22×C4C2512yes—
1743C22×C4C2512yes—
1744C22×C4C2511yescharacteristic
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2511yescharacteristic
1754C22×C4C2512yes—
1755C22×C4C2512yes—
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2511yescharacteristic
1760C22×C4C2512yes—
1761C22×C4C2511yescharacteristic
1762C22×C4C2511yescharacteristic
1763C22×C4C2511yescharacteristic
1764C22×C4C2512yes—
1765C22×C4C2511yescharacteristic
1766C22×C4C2512yes—
1767C22×C4C2511yescharacteristic
1768C22×C4C2511yescharacteristic
1769C22×C4C2511yescharacteristic
1770C22×C4C2511yescharacteristic
1771C22×C4C2511yescharacteristic
1772C4⋊C4—24no—
1773C4⋊C4—24no—
1774C4⋊C4—24no—
1775C4⋊C4—24no—
1776C4⋊C4—24no—
1777C4⋊C4—22no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—22no—
1784C4⋊C4—24no—
1785C4⋊C4—22no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—41no—
1791C4⋊C4—42no—
1792C4⋊C4—42no—
1793C4⋊C4—42no—
1794C4⋊C4—42no—
1795C4⋊C4—42no—
1796C4⋊C4—42no—
1797C4⋊C4—42no—
1798C4⋊C4—42no—
1799C4⋊C4—42no—
1800C4⋊C4—42no—
1801C4⋊C4—41no—
1802C4⋊C4—41no—
1803C4⋊C4—42no—
1804C4⋊C4—42no—
1805C4⋊C4—42no—
1806C4⋊C4—42no—
1807C4⋊C4—42no—
1808C4⋊C4—41no—
1809C4⋊C4—42no—
1810C4⋊C4—42no—
1811C4⋊C4—41no—
1812C4⋊C4—41no—
1813C4⋊C4—42no—
1814C4⋊C4—42no—
1815C4⋊C4—42no—
1816C4⋊C4—42no—
1817C4⋊C4—42no—
1818C4⋊C4—42no—
1819C4⋊C4—42no—
1820C4⋊C4—42no—
1821C4⋊C4—42no—
1822C4⋊C4—42no—
1823C4⋊C4—42no—
1824C4⋊C4—41no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—41no—
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—42no—
1837C4⋊C4—41no—
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—41no—
1847C4⋊C4—42no—
1848C4⋊C4—41no—
1849C4⋊C4—42no—
1850C4⋊C4—42no—
1851C4⋊C4—42no—
1852C4⋊C4—42no—
1853C4⋊C4—42no—
1854C4⋊C4—42no—
1855C4⋊C4—42no—
1856C4⋊C4—42no—
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—41no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—42no—
1878C4⋊C4—42no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4—42no—
1882C4⋊C4—42no—
1883C4⋊C4—42no—
1884C4⋊C4—42no—
1885C4⋊C4—42no—
1886C4⋊C4C22×Q814yes—
1887C4⋊C4C22×Q814yes—
1888C4⋊C4C22×Q818yes—
1889C4⋊C4C22×Q814yes—
1890C4⋊C4C22×Q814yes—
1891C4⋊C4C22×Q818yes—
1892C4⋊C4C22×Q818yes—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—22no—
1898C22⋊C4—24no—
1899C22⋊C4—24no—
1900C22⋊C4—22no—
1901C22⋊C4—22no—
1902C22⋊C4—24no—
1903C22⋊C4—24no—
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⋊C4—42no—
1916C22⋊C4—42no—
1917C22⋊C4—42no—
1918C22⋊C4—42no—
1919C22⋊C4—42no—
1920C22⋊C4—42no—
1921C22⋊C4—42no—
1922C22⋊C4—42no—
1923C22⋊C4—42no—
1924C22⋊C4—42no—
1925C22⋊C4—42no—
1926C22⋊C4—42no—
1927C22⋊C4C22×Q818yes—
1928C22⋊C4C22×Q814yes—
1929C22⋊C4C22×Q814yes—
1930C22⋊C4C22×Q818yes—
1931C22⋊C4C22×Q818yes—
1932C22⋊C4C22×Q818yes—
1933C22⋊C4H(5,𝔽2)14yes—
1934C42—24no—
1935C42—22no—
1936C42—24no—
1937C42—22no—
1938C42—22no—
1939C42—41no—
1940C42—42no—
1941C42—42no—
1942C42—41no—
1943C42—41no—
1944C42—41no—
1945C42—42no—
1946C42—42no—
1947C42—41no—
1948C42—41no—
1949C42—41no—
1950C42—42no—
1951C42—41no—
1952C42—42no—
1953C42—42no—
1954C42—42no—
1955C42—42no—
1956C42—42no—
1957C42—42no—
1958C42—42no—
1959C42—42no—
1960C42—42no—
1961C42—42no—
1962C42—42no—
1963C42—42no—
1964C42—42no—
1965C42—42no—
1966C42—42no—
1967C42—41no—
1968C42C22×Q818yes—
1969C42C22×Q814yes—
1970C23—21no—
1971C23—21no—
1972C23—21no—
1973C23—21no—
1974C23—22no—
1975C23—21no—
1976C23—22no—
1977C23—21no—
1978C23—22no—
1979C23—21no—
1980C23—22no—
1981C23—21no—
1982C23—21no—
1983C23—22no—
1984C23—21no—
1985C23—22no—
1986C23C23×Q814yes—
1987C23C23×Q812yes—
1988C23C23×Q812yes—
1989C23C2×H(5,𝔽2)12yes—
1990C23C2×2−1+412yes—
1991C23C2611yescharacteristic
1992Q8—44no—
1993Q8—84no—
1994Q8—84no—
1995Q8—82no—
1996Q8—82no—
1997Q8—84no—
1998Q8—82no—
1999Q8—82no—
2000Q8—82no—
2001Q8—82no—
2002Q8—84no—
2003Q8—84no—
2004Q8—84no—
2005Q8—162no—
2006D4—28no—
2007D4—216no—
2008D4—48no—
2009D4—44no—
2010C2×C4—22no—
2011C2×C4—21no—
2012C2×C4—21no—
2013C2×C4—22no—
2014C2×C4—21no—
2015C2×C4—21no—
2016C2×C4—22no—
2017C2×C4—21no—
2018C2×C4—22no—
2019C2×C4—21no—
2020C2×C4—21no—
2021C2×C4—22no—
2022C2×C4—22no—
2023C2×C4—21no—
2024C2×C4—21no—
2025C2×C4—21no—
2026C2×C4—21no—
2027C2×C4—21no—
2028C2×C4—21no—
2029C2×C4—21no—
2030C2×C4—21no—
2031C2×C4—21no—
2032C2×C4—21no—
2033C2×C4—21no—
2034C2×C4—21no—
2035C2×C4—21no—
2036C2×C4—22no—
2037C2×C4—22no—
2038C2×C4—22no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—22no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—22no—
2045C2×C4—22no—
2046C2×C4—22no—
2047C2×C4—22no—
2048C2×C4—21no—
2049C2×C4—22no—
2050C2×C4—22no—
2051C2×C4—21no—
2052C2×C4—22no—
2053C2×C4—22no—
2054C2×C4—21no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
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—21no—
2069C2×C4—22no—
2070C2×C4—21no—
2071C2×C4—22no—
2072C2×C4—22no—
2073C2×C4—21no—
2074C2×C4—22no—
2075C2×C4—22no—
2076C2×C4—22no—
2077C2×C4—22no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—22no—
2081C2×C4—22no—
2082C2×C4—22no—
2083C2×C4—22no—
2084C2×C4—22no—
2085C2×C4—22no—
2086C2×C4—22no—
2087C2×C4—22no—
2088C2×C4—22no—
2089C2×C4—22no—
2090C2×C4—22no—
2091C2×C4—22no—
2092C2×C4—21no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—21no—
2097C2×C4—22no—
2098C2×C4—22no—
2099C2×C4—22no—
2100C2×C4—22no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—48no—
2106C2×C4—48no—
2107C2×C4—44no—
2108C2×C4—44no—
2109C2×C4—44no—
2110C2×C4—44no—
2111C2×C4—44no—
2112C2×C4—48no—
2113C2×C4—84no—
2114C2×C4—82no—
2115C2×C4—84no—
2116C2×C4—84no—
2117C2×C4—84no—
2118C2×C4—84no—
2119C2×C4—84no—
2120C2×C4—84no—
2121C2×C4—84no—
2122C2×C4—162no—
2123C2×C4—162no—
2124C2×C4—162no—
2125C2×C4—162no—
2126C2×C4C23×Q812yes—
2127C2×C4C23×Q814yes—
2128C2×C4C23×Q812yes—
2129C2×C4C23×Q814yes—
2130C2×C4C23×Q812yes—
2131C2×C4C23×Q812yes—
2132C2×C4C23×Q812yes—
2133C2×C4C23×Q814yes—
2134C2×C4C2×H(5,𝔽2)12yes—
2135C2×C4C2×H(5,𝔽2)12yes—
2136C2×C4C2×2−1+412yes—
2137C2×C4C2×2−1+412yes—
2138C2×C4#58512yes—
2139C22—22no—
2140C22—22no—
2141C22—22no—
2142C22—22no—
2143C22—22no—
2144C22—22no—
2145C22—24no—
2146C22—22no—
2147C22—24no—
2148C22—22no—
2149C22—22no—
2150C22—24no—
2151C22—42no—
2152C22—41no—
2153C22—42no—
2154C22—41no—
2155C22—41no—
2156C22—42no—
2157C22—42no—
2158C22—41no—
2159C22#350314yes—
2160C22C24×Q811yescharacteristic
2161C22C22×H(5,𝔽2)11yescharacteristic
2162C22C22×2−1+411yescharacteristic
2163C22C2×#58511yescharacteristic
2164C22H(7,𝔽2)11yescharacteristic
2165C22H(7,𝔽2)11yescharacteristic
2166C222−1+611yescharacteristic
2167C4—22no—
2168C4—24no—
2169C4—24no—
2170C4—22no—
2171C4—24no—
2172C4—22no—
2173C4—22no—
2174C4—22no—
2175C4—22no—
2176C4—22no—
2177C4—22no—
2178C4—22no—
2179C4—22no—
2180C4—42no—
2181C4—42no—
2182C4—42no—
2183C4—42no—
2184C4—42no—
2185C4—42no—
2186C4—42no—
2187C4—42no—
2188C4—42no—
2189C4—41no—
2190C4—42no—
2191C4—42no—
2192C4—41no—
2193C4—42no—
2194C4—42no—
2195C4—42no—
2196C4—42no—
2197C4—42no—
2198C4—42no—
2199C4—42no—
2200C4—41no—
2201C4—42no—
2202C4—42no—
2203C2—24no—
2204C2—44no—
2205C2—42no—
2206C2C2×#350311yescharacteristic
2207C2#6285411yescharacteristic
2208C2#6286411yescharacteristic
2209C2#6289611yescharacteristic
2210C2#6295611yescharacteristic
2211C2#6298911yescharacteristic
2212C2#6304911yescharacteristic
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. #59886C2semidirect
2. #59831C2semidirect
3. C2×#2806C2semidirect
4. #51215C2semidirect
5. #51078C2semidirect
6. #50708C2semidirect
7. #48845C2semidirect
8. #47983C2semidirect
9. #47982C2semidirect
10. #47732C2semidirect
11. #46439C2semidirect
12. #46007C2semidirect
13. #45792C2semidirect
14. #44317C2semidirect
15. #44003C2semidirect
16. #43529C2semidirect
17. #43124C2semidirect
18. #43100C2semidirect
19. #42005C2semidirect
20. #40619C2semidirect
21. #40615C2semidirect
22. #40614C2semidirect
23. #39703C2semidirect
24. #39668C2semidirect
25. #39632C2semidirect
26. #39632C2semidirect
27. #39623C2semidirect
28. #39493C2semidirect
29. #39175C2semidirect
30. #38446C2semidirect
31. #38100C2semidirect
32. #37309C2semidirect
33. #37136C2semidirect
34. #36276C2semidirect
35. #35950C2semidirect
36. #35398C2semidirect
37. #35016C2semidirect
401. #553Q8semidirect
1210. #126C2×Q8semidirect
1219. #125C2×Q8semidirect
1220. #123C2×Q8semidirect
1250. #121C2×Q8semidirect
1251. #121C2×Q8semidirect
1274. C4×D4C2×Q8semidirect
1275. C4×D4C2×Q8semidirect
1279. #117C2×Q8semidirect
1293. C2×C4⋊C4C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#598862
#598312
C2×#28062
#512152
#510782
#507082
#488452
#479832
#479822
#477322
#464392
#460072
#457922
#443172
#440032
#435292
#431242
#431002
#420052
#406192
#406152
#406142
#397032
#396682
#396322
#396232
#394932
#391752
#384462
#381002
#373092
#371362
#362762
#359502
#353982
#350162
#344972
#343232