Finite Group Databasebeta

← #7829907

Subgroups — #7829907

Order 512.

4844 conjugacy classes of subgroups.

The subgroup lattice has 2224 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59830C211yesmaximal, characteristic, complemented
2#59817C211yesmaximal, characteristic, complemented
3#59809C212yesmaximal, complemented
4#59736C212yesmaximal, complemented
5#59153C212yesmaximal, complemented
6#59096C212yesmaximal, complemented
7#52162C211yesmaximal, characteristic, complemented
8#52036C212yesmaximal, complemented
9#51596C212yesmaximal, complemented
10#51592C212yesmaximal, complemented
11#50698C212yesmaximal, complemented
12#47982C212yesmaximal, complemented
13#47966C212yesmaximal, complemented
14#47727C212yesmaximal, complemented
15#47019C212yesmaximal, complemented
16#46282C211yesmaximal, characteristic, complemented
17#45793C211yesmaximal, characteristic, complemented
18#44939C212yesmaximal, complemented
19#43891C212yesmaximal, complemented
20#43571C212yesmaximal, complemented
21#43567C212yesmaximal, complemented
22#43133C212yesmaximal, complemented
23#43132C212yesmaximal, complemented
24#43131C212yesmaximal, complemented
25#43100C212yesmaximal, complemented
26#42008C212yesmaximal, complemented
27#39708C211yesmaximal, characteristic, complemented
28#39701C211yesmaximal, characteristic, complemented
29#39701C211yesmaximal, characteristic, complemented
30#39614C211yesmaximal, characteristic, complemented
31#39365C211yesmaximal, characteristic, complemented
32#38453C211yesmaximal, characteristic, complemented
33#37137C211yesmaximal, characteristic, complemented
34#36480C211yesmaximal, characteristic, complemented
35#36280C211yesmaximal, characteristic, complemented
36#35931C212yesmaximal, complemented
37#35398C212yesmaximal, complemented
38#34442C212yesmaximal
39#34280C211yesmaximal, characteristic
40C2×#554C2212yes—
41C2×#554C2212yes—
42C2×D4×Q8C2212yes—
43C2×D4×Q8C2212yes—
44C2×#544C2212yes—
45C2×#540C2211yescharacteristic
46C2×#533C2212yes—
47#2863C2211yescharacteristic
48#2863C2211yescharacteristic
49#2863C2211yescharacteristic
50#2859C2211yescharacteristic
51#2857C2211yescharacteristic
52#2855C2211yescharacteristic
53#2843C2212yes—
54#2841C2212yes—
55#2806C2212yes—
56#2805C2212yes—
57#2805C2211yescharacteristic
58#2805C2211yescharacteristic
59#2804C2211yescharacteristic
60#2802C2212yes—
61#2802C2212yes—
62#2792C2212yes—
63#2792C2212yes—
64#2792C2212yes—
65#2791C2212yes—
66#2790C2212yes—
67#2788C2212yes—
68#2788C2212yes—
69#2788C2212yes—
70#2784C2212yes—
71#2784C2212yes—
72#2784C2212yes—
73#2784C2212yes—
74#2784C2212yes—
75#2780C2212yes—
76#2780C2212yes—
77#2780C2212yes—
78#2780C2212yes—
79#2780C2212yes—
80#2774C2212yes—
81#2768C2212yes—
82#2768C2212yes—
83#2763C2212yes—
84#2763C2212yes—
85#2755C2212yes—
86#2748C2212yes—
87#2748C2212yes—
88#2734C2212yes—
89#2734C2211yescharacteristic
90#2734C2211yescharacteristic
91#2734C2212yes—
92#2734C2212yes—
93#2734C2212yes—
94#2732C2211yescharacteristic
95#2732C2212yes—
96#2732C2212yes—
97#2732C2211yescharacteristic
98#2729C2212yes—
99#2729C2212yes—
100#2729C2212yes—
101#2726C2211yescharacteristic
102#2726C2211yescharacteristic
103#2726C2211yescharacteristic
104#2726C2211yescharacteristic
105#2720C2212yes—
106#2720C2212yes—
107#2720C2212yes—
108#2720C2212yes—
109#2713C2212yes—
110#2713C2212yes—
111#2713C2212yes—
112#2713C2212yes—
113#2713C2212yes—
114#2713C2212yes—
115#2704C2212yes—
116#2704C2212yes—
117#2704C2212yes—
118#2704C2212yes—
119#2704C2212yes—
120#2704C2212yes—
121#2692C2212yes—
122#2692C2212yes—
123#2692C2212yes—
124#2692C2212yes—
125#2692C2212yes—
126#2692C2212yes—
127#2692C2212yes—
128#2692C2212yes—
129#2692C2212yes—
130#2692C2212yes—
131#2692C2212yes—
132#2683C2211yescharacteristic
133#2683C2212yes—
134#2683C2212yes—
135#2683C2211yescharacteristic
136#2683C2212yes—
137#2683C2211yescharacteristic
138#2683C2211yescharacteristic
139#2683C2211yescharacteristic
140#2677C2212yes—
141#2677C2212yes—
142#2677C2212yes—
143#2666C2212yes—
144#2666C2212yes—
145#2666C2212yes—
146#2665C2212yes—
147#2665C2212yes—
148#2665C2212yes—
149#2659C2212yes—
150#2659C2212yes—
151#2629C2212yes—
152#2612C2212yes—
153#2608C2212yes—
154#2607C2212yes—
155#2606C2212yes—
156#2605C2212yes—
157#2605C2212yes—
158#2605C2212yes—
159#2590C2212yes—
160#2590C2212yes—
161#2590C2212yes—
162#2589C2212yes—
163#2589C2212yes—
164#2588C2212yes—
165#2588C2212yes—
166#2587C2212yes—
167#2587C2212yes—
168#2587C2212yes—
169#2586C2212yes—
170#2586C2212yes—
171#2586C2212yes—
172#2586C2212yes—
173#2585C2212yes—
174#2585C2212yes—
175#2584C2212yes—
176#2579C2212yes—
177#2579C2212yes—
178#2579C2212yes—
179#2574C2212yes—
180#2574C2212yes—
181#2574C2212yes—
182#2569C2212yes—
183#2567C2211yescharacteristic
184#2566C2212yes—
185#2564C2212yes—
186#2564C2212yes—
187#2564C2212yes—
188#2563C2212yes—
189#2556C2212yes—
190#2556C2212yes—
191#2556C2212yes—
192#2556C2212yes—
193#2556C2212yes—
194#2556C2212yes—
195#2551C2212yes—
196#2551C2212yes—
197#2551C2211yescharacteristic
198#2550C2212yes—
199#2550C2212yes—
200#2550C2212yes—
201#2550C2212yes—
202#2549C2212yes—
203#2549C2212yes—
204#2549C2212yes—
205#2549C2212yes—
206#2549C2212yes—
207#2549C2212yes—
208#2549C2212yes—
209#2546C2212yes—
210#2538C2212yes—
211#2538C2212yes—
212#2522C2212yes—
213#2522C2212yes—
214#2522C2212yes—
215#2520C2212yes—
216#2520C2212yes—
217#2520C2212yes—
218#2520C2212yes—
219#2511C2211yescharacteristic
220#2509C2212yes—
221#2507C2211yescharacteristic
222#2507C2211yescharacteristic
223#2505C2212yes—
224#2502C2211yescharacteristic
225#2497C2211yescharacteristic
226#2497C2211yescharacteristic
227#2492C2212yes—
228#2492C2212yes—
229#2492C2212yes—
230#2492C2212yes—
231#2492C2211yescharacteristic
232#2492C2211yescharacteristic
233#2487C2212yes—
234#2473C2212yes—
235#2473C2212yes—
236#2465C2212yes—
237#2465C2212yes—
238#2465C2212yes—
239#2465C2212yes—
240#2465C2212yes—
241#2465C2212yes—
242#2465C2212yes—
243#2465C2212yes—
244#2462C2212yes—
245#2462C2212yes—
246#2462C2212yes—
247#2462C2212yes—
248#2454C2212yes—
249#2452C2212yes—
250#2452C2212yes—
251#2452C2212yes—
252#2452C2212yes—
253#2452C2212yes—
254#2452C2212yes—
255#2452C2212yes—
256#2451C2212yes—
257#2451C2212yes—
258#2451C2212yes—
259#2451C2212yes—
260#2451C2212yes—
261#2451C2211yescharacteristic
262#2450C2212yes—
263#2450C2212yes—
264#2450C2212yes—
265#2450C2212yes—
266#2450C2212yes—
267#2450C2212yes—
268#2450C2212yes—
269#2450C2212yes—
270#2450C2212yes—
271#2449C2212yes—
272#2449C2212yes—
273#2449C2212yes—
274#2449C2212yes—
275#2449C2212yes—
276#2449C2212yes—
277#2449C2212yes—
278#2446C2212yes—
279#2446C2212yes—
280#2442C2212yes—
281#2441C2212yes—
282#2441C2212yes—
283#2440C2212yes—
284#2440C2211yescharacteristic
285#2440C2212yes—
286#2440C2212yes—
287#2439C2212yes—
288#2439C2212yes—
289#2439C2212yes—
290#2438C2212yes—
291#2438C2212yes—
292#2438C2212yes—
293#2438C2212yes—
294#2438C2212yes—
295#2434C2212yes—
296#2434C2212yes—
297#2434C2212yes—
298#2429C2212yes—
299#2429C2212yes—
300#2429C2212yes—
301#2429C2212yes—
302#2429C2212yes—
303#2417C2212yes—
304#2417C2212yes—
305#2417C2212yes—
306#2417C2212yes—
307#2417C2212yes—
308#2409C2212yes—
309#2409C2212yes—
310#2409C2212yes—
311#2409C2212yes—
312#2399C2212yes—
313#2396C2212yes—
314#2396C2212yes—
315#2396C2212yes—
316C2×#395C2212yes—
317#2380C2212yes—
318#2377C2212yes—
319#2377C2212yes—
320#2376C2212yes—
321#2374C2212yes—
322#2374C2212yes—
323#2374C2212yes—
324#2370C2212yes—
325#2370C2212yes—
326#2369C2211yescharacteristic
327#2368C2212yes—
328#2368C2212yes—
329#2366C2212yes—
330#2365C2212yes—
331#2364C2212yes—
332#2364C2212yes—
333#2364C2212yes—
334#2364C2212yes—
335#2363C2212yes—
336#2363C2212yes—
337#2363C2212yes—
338#2361C2212yes—
339#2360C2211yescharacteristic
340#2360C2212yes—
341#2360C2212yes—
342#2360C2212yes—
343#2359C2212yes—
344#2359C2212yes—
345#2359C2212yes—
346#2359C2212yes—
347#2355C2211yescharacteristic
348#2353C2212yes—
349#2352C2212yes—
350#2347C2212yes—
351#2345C2211yescharacteristic
352#2345C2212yes—
353#2343C2212yes—
354Q8×C22⋊C4C2212yes—
355#2336C2212yes—
356#2336C2212yes—
357#2335C2212yes—
358#2335C2212yes—
359#2333C2212yes—
360#2333C2212yes—
361#2330C2211yescharacteristic
362#2329C2212yes—
363#2329C2212yes—
364#2329C2212yes—
365#2328C2211yescharacteristic
366#2325C2212yes—
367#2325C2212yes—
368#2324C2212yes—
369#2324C2211yescharacteristic
370#2324C2211yescharacteristic
371#2322C2212yes—
372#2318C2212yes—
373#2314C2211yescharacteristic
374C4×C4⋊Q8C2211yescharacteristic
375C4×C4⋊Q8C2211yescharacteristic
376C4×C4⋊Q8C2211yescharacteristic
377C4×#127C2211yescharacteristic
378C4×#125C2211yescharacteristic
379C4×C22⋊Q8C2212yes—
380C4×C22⋊Q8C2211yescharacteristic
381C4×C22⋊Q8C2212yes—
382C4×#123C2212yes—
383C4×#121C2212yes—
384C4×#121C2211yescharacteristic
385C4×#121C2211yescharacteristic
386#2295C2211yescharacteristic
387C2×#391C2212yes—
388#2293C2211yescharacteristic
389#2293C2211yescharacteristic
390C2×#389C2211yescharacteristic
391#2290C2212yes—
392#2275C2211yescharacteristic
393#2275C2211yescharacteristic
394C4×#117C2211yescharacteristic
395C23×Q8C2312yes—
396C23×Q8C2312yes—
397#554—48no—
398#554—48no—
399D4×Q8—48no—
400D4×Q8—48no—
401#544—48no—
402#540Q8116yescomplemented
403#533—48no—
404C2×C4⋊Q8C2311yescharacteristic
405C2×C4⋊Q8C2311yescharacteristic
406C2×C4⋊Q8C2311yescharacteristic
407C2×C4⋊Q8C2312yes—
408C2×C4⋊Q8C2311yescharacteristic
409C2×C4⋊Q8C2312yes—
410C2×C4⋊Q8C2312yes—
411C2×C4⋊Q8C2312yes—
412C2×C4⋊Q8C2312yes—
413C2×C4⋊Q8C2312yes—
414C2×C4⋊Q8C2312yes—
415C2×C4⋊Q8C2312yes—
416C2×C4⋊Q8C2312yes—
417C2×C4⋊Q8C2312yes—
418C2×C4⋊Q8C2312yes—
419C2×C4⋊Q8C2312yes—
420C2×#127C2311yescharacteristic
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2312yes—
424C2×#125C2312yes—
425C2×#125C2312yes—
426C2×#125C2312yes—
427C2×#125C2312yes—
428C2×#125C2312yes—
429C2×#125C2311yescharacteristic
430C2×#123C2312yes—
431C2×#123C2312yes—
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2311yescharacteristic
442C2×C22⋊Q8C2312yes—
443C2×C22⋊Q8C2312yes—
444C2×C22⋊Q8C2312yes—
445C2×C22⋊Q8C2312yes—
446C2×C22⋊Q8C2312yes—
447C2×C22⋊Q8C2312yes—
448C2×C22⋊Q8C2312yes—
449C2×C22⋊Q8C2312yes—
450C2×C22⋊Q8C2312yes—
451C2×C22⋊Q8C2312yes—
452C2×C22⋊Q8C2312yes—
453C2×C22⋊Q8C2312yes—
454C2×C22⋊Q8C2312yes—
455C2×C22⋊Q8C2312yes—
456C2×C22⋊Q8C2312yes—
457C2×C22⋊Q8C2312yes—
458C2×C22⋊Q8C2312yes—
459C2×C22⋊Q8C2312yes—
460C2×C22⋊Q8C2312yes—
461C2×C22⋊Q8C2312yes—
462C2×C22⋊Q8C2312yes—
463C2×C22⋊Q8C2312yes—
464C2×C22⋊Q8C2312yes—
465C2×C22⋊Q8C2312yes—
466C2×C22⋊Q8C2312yes—
467C2×#121C2311yescharacteristic
468C2×#121C2312yes—
469C2×#121C2311yescharacteristic
470C2×#121C2312yes—
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2312yes—
511C22×C42C2311yescharacteristic
512C22×C42C2312yes—
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#399C2312yes—
542#399C2312yes—
543#399C2312yes—
544#399C2312yes—
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#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2312yes—
605#396C2312yes—
606#396C2312yes—
607#396C2312yes—
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#396C2312yes—
623#396C2312yes—
624#396C2312yes—
625#396C2312yes—
626#396C2312yes—
627#396C2312yes—
628#396C2312yes—
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#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
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#393C2312yes—
689#391C2312yes—
690#391C2312yes—
691#391C2312yes—
692#391C2311yescharacteristic
693#391C2311yescharacteristic
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#391C2312yes—
711#391C2312yes—
712#391C2312yes—
713#391C2312yes—
714#391C2312yes—
715#391C2312yes—
716#391C2312yes—
717#391C2312yes—
718#391C2311yescharacteristic
719#391C2311yescharacteristic
720#391C2312yes—
721#391C2312yes—
722#391C2312yes—
723#391C2312yes—
724#391C2312yes—
725#391C2311yescharacteristic
726#391C2311yescharacteristic
727#391C2311yescharacteristic
728#391C2311yescharacteristic
729#391C2311yescharacteristic
730#391C2312yes—
731#391C2311yescharacteristic
732#391C2312yes—
733#391C2312yes—
734#391C2312yes—
735#391C2312yes—
736#390C2312yes—
737#390C2312yes—
738#390C2311yescharacteristic
739#390C2311yescharacteristic
740#390C2312yes—
741#390C2312yes—
742#390C2312yes—
743#390C2312yes—
744#390C2311yescharacteristic
745#390C2311yescharacteristic
746#390C2312yes—
747#390C2312yes—
748#390C2312yes—
749#390C2312yes—
750#390C2312yes—
751#390C2312yes—
752#389C2311yescharacteristic
753#389C2311yescharacteristic
754#389C2311yescharacteristic
755#389C2312yes—
756#389C2312yes—
757#389C2311yescharacteristic
758#389C2311yescharacteristic
759#389C2311yescharacteristic
760#389C2311yescharacteristic
761#389C2312yes—
762#389C2312yes—
763#389C2312yes—
764#389C2312yes—
765#389C2312yes—
766#389C2311yescharacteristic
767#389C2311yescharacteristic
768#389C2312yes—
769#389C2312yes—
770#389C2312yes—
771#389C2312yes—
772#389C2312yes—
773#389C2312yes—
774#389C2312yes—
775#389C2312yes—
776#389C2312yes—
777#389C2311yescharacteristic
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#389C2312yes—
791#389C2312yes—
792#389C2312yes—
793#389C2312yes—
794#389C2312yes—
795#389C2312yes—
796#389C2311yescharacteristic
797#389C2311yescharacteristic
798#389C2312yes—
799#389C2312yes—
800#389C2312yes—
801#389C2312yes—
802#389C2312yes—
803#389C2312yes—
804#389C2311yescharacteristic
805#389C2311yescharacteristic
806#389C2312yes—
807#389C2312yes—
808#389C2312yes—
809#389C2312yes—
810#389C2311yescharacteristic
811#389C2312yes—
812#389C2311yescharacteristic
813#389C2311yescharacteristic
814#389C2312yes—
815#389C2311yescharacteristic
816#389C2311yescharacteristic
817#389C2311yescharacteristic
818#389C2312yes—
819#389C2311yescharacteristic
820#389C2312yes—
821#389C2312yes—
822#389C2312yes—
823#389C2312yes—
824#389C2312yes—
825#389C2311yescharacteristic
826#389C2312yes—
827#388C2312yes—
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#388C2312yes—
856#388C2312yes—
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#386C2312yes—
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#386C2312yes—
960#386C2312yes—
961#386C2312yes—
962#386C2312yes—
963#386C2312yes—
964#386C2312yes—
965#386C2312yes—
966#386C2312yes—
967#386C2312yes—
968#386C2312yes—
969#386C2312yes—
970#386C2312yes—
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#384C2311yescharacteristic
1020#384C2311yescharacteristic
1021#384C2311yescharacteristic
1022#384C2311yescharacteristic
1023#384C2312yes—
1024#384C2311yescharacteristic
1025#384C2311yescharacteristic
1026#384C2311yescharacteristic
1027#383C2312yes—
1028#383C2312yes—
1029#383C2312yes—
1030#382C2311yescharacteristic
1031#382C2312yes—
1032#382C2312yes—
1033#382C2312yes—
1034#382C2312yes—
1035#382C2312yes—
1036#381C2312yes—
1037#381C2312yes—
1038#381C2312yes—
1039#380C2312yes—
1040#380C2312yes—
1041#380C2312yes—
1042#380C2312yes—
1043#380C2312yes—
1044#380C2312yes—
1045#380C2312yes—
1046#380C2312yes—
1047#380C2312yes—
1048#380C2312yes—
1049#380C2312yes—
1050#380C2311yescharacteristic
1051#380C2311yescharacteristic
1052#380C2312yes—
1053#380C2311yescharacteristic
1054#380C2312yes—
1055#380C2312yes—
1056#380C2312yes—
1057#380C2312yes—
1058#380C2312yes—
1059#380C2312yes—
1060#380C2311yescharacteristic
1061#380C2312yes—
1062#380C2312yes—
1063#380C2311yescharacteristic
1064#380C2311yescharacteristic
1065#380C2312yes—
1066#380C2312yes—
1067#380C2312yes—
1068C4×C4⋊C4C2311yescharacteristic
1069C4×C4⋊C4C2311yescharacteristic
1070C4×C4⋊C4C2312yes—
1071C4×C4⋊C4C2312yes—
1072C4×C4⋊C4C2312yes—
1073C4×C4⋊C4C2312yes—
1074C4×C4⋊C4C2311yescharacteristic
1075C4×C4⋊C4C2312yes—
1076C4×C4⋊C4C2311yescharacteristic
1077C4×C4⋊C4C2311yescharacteristic
1078C4×C4⋊C4C2311yescharacteristic
1079C4×C4⋊C4C2311yescharacteristic
1080C4×C4⋊C4C2311yescharacteristic
1081C4×C4⋊C4C2312yes—
1082C4×C4⋊C4C2312yes—
1083C4×C4⋊C4C2311yescharacteristic
1084C4×C4⋊C4C2311yescharacteristic
1085C4×C4⋊C4C2311yescharacteristic
1086C4×C4⋊C4C2311yescharacteristic
1087C4×C4⋊C4C2312yes—
1088C4×C4⋊C4C2312yes—
1089C4×C4⋊C4C2312yes—
1090C4×C4⋊C4C2312yes—
1091C4×C4⋊C4C2311yescharacteristic
1092C4×C4⋊C4C2312yes—
1093C4×C4⋊C4C2312yes—
1094C4×C4⋊C4C2312yes—
1095C4×C4⋊C4C2311yescharacteristic
1096C4×C4⋊C4C2311yescharacteristic
1097C4×C4⋊C4C2312yes—
1098C4×C4⋊C4C2312yes—
1099C4×C4⋊C4C2312yes—
1100C4×C4⋊C4C2312yes—
1101C4×C4⋊C4C2312yes—
1102C4×C4⋊C4C2312yes—
1103C4×C4⋊C4C2311yescharacteristic
1104C4×C4⋊C4C2312yes—
1105C4×C4⋊C4C2311yescharacteristic
1106C4×C4⋊C4C2311yescharacteristic
1107C4×C22⋊C4C2312yes—
1108C4×C22⋊C4C2312yes—
1109C4×C22⋊C4C2312yes—
1110C4×C22⋊C4C2312yes—
1111C4×C22⋊C4C2312yes—
1112C4×C22⋊C4C2312yes—
1113C4×C22⋊C4C2312yes—
1114C4×C22⋊C4C2312yes—
1115C4×C22⋊C4C2312yes—
1116C4×C22⋊C4C2312yes—
1117C4×C22⋊C4C2312yes—
1118C4×C22⋊C4C2312yes—
1119C4×C22⋊C4C2312yes—
1120C4×C22⋊C4C2312yes—
1121C4×C22⋊C4C2312yes—
1122C4×C22⋊C4C2312yes—
1123C4×C22⋊C4C2312yes—
1124C4×C22⋊C4C2312yes—
1125C4×C22⋊C4C2312yes—
1126C4×C22⋊C4C2312yes—
1127C4×C22⋊C4C2311yescharacteristic
1128C4×C22⋊C4C2312yes—
1129C4×C22⋊C4C2312yes—
1130C4×C22⋊C4C2312yes—
1131C4×C22⋊C4C2312yes—
1132C4×C22⋊C4C2312yes—
1133C4×C22⋊C4C2311yescharacteristic
1134C4×C22⋊C4C2311yescharacteristic
1135C4×C22⋊C4C2311yescharacteristic
1136#376C2311yescharacteristic
1137#376C2312yes—
1138#376C2311yescharacteristic
1139C2×#95C2312yes—
1140C2×#95C2312yes—
1141C2×#95C2312yes—
1142C2×#95C2312yes—
1143C2×#95C2312yes—
1144C2×#95C2312yes—
1145C2×#95C2312yes—
1146C2×#95C2312yes—
1147C43C2311yescharacteristic
1148C43C2311yescharacteristic
1149C22×Q8—44no—
1150C22×Q8—44no—
1151C22×Q8—44no—
1152C22×Q8—44no—
1153C22×Q8—44no—
1154C22×Q8—44no—
1155C22×Q8C2412yes—
1156C22×Q8C2412yes—
1157C22×Q8C2412yes—
1158C22×Q8C2412yes—
1159C22×Q8C2412yes—
1160C22×Q8C2411yescharacteristic
1161C22×Q8C2411yescharacteristic
1162C22×Q8C2412yes—
1163C22×Q8C2412yes—
1164C22×Q8C2412yes—
1165C22×Q8C2412yes—
1166C22×Q8C2412yes—
1167C22×Q8C2412yes—
1168C22×D4C2412yes—
1169C22×D4C2412yes—
1170C22×D4C2412yes—
1171C22×D4C2412yes—
1172C22×D4C2411yescharacteristic
1173C22×D4C2411yescharacteristic
1174C23×C4C2411yescharacteristic
1175C23×C4C2412yes—
1176C23×C4C2412yes—
1177C23×C4C2411yescharacteristic
1178C23×C4C2412yes—
1179C23×C4C2412yes—
1180C23×C4C2412yes—
1181C23×C4C2412yes—
1182C23×C4C2412yes—
1183C23×C4C2412yes—
1184C23×C4C2412yes—
1185C23×C4C2412yes—
1186C23×C4C2412yes—
1187C23×C4C2412yes—
1188C23×C4C2412yes—
1189C23×C4C2412yes—
1190C23×C4C2412yes—
1191C23×C4C2412yes—
1192C23×C4C2411yescharacteristic
1193C4⋊Q8—24no—
1194C4⋊Q8—24no—
1195C4⋊Q8—24no—
1196C4⋊Q8—42no—
1197C4⋊Q8—44no—
1198C4⋊Q8—44no—
1199C4⋊Q8—44no—
1200C4⋊Q8—44no—
1201C4⋊Q8—44no—
1202C4⋊Q8—44no—
1203C4⋊Q8—44no—
1204C4⋊Q8—44no—
1205C4⋊Q8—44no—
1206C4⋊Q8—44no—
1207C4⋊Q8—44no—
1208C4⋊Q8—44no—
1209#127C2×Q818yes—
1210#125—28no—
1211#125—28no—
1212#125—44no—
1213#125—44no—
1214#125—44no—
1215#125—44no—
1216#125—44no—
1217#125—44no—
1218#125C2×Q818yescomplemented
1219#123C2×Q8116yescomplemented
1220#123C2×Q8116yescomplemented
1221C22⋊Q8—28no—
1222C22⋊Q8—28no—
1223C22⋊Q8—28no—
1224C22⋊Q8—28no—
1225C22⋊Q8—24no—
1226C22⋊Q8—44no—
1227C22⋊Q8—44no—
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—44no—
1237C22⋊Q8—44no—
1238C22⋊Q8—44no—
1239C22⋊Q8—44no—
1240C22⋊Q8—44no—
1241C22⋊Q8—44no—
1242C22⋊Q8—44no—
1243C22⋊Q8—44no—
1244C22⋊Q8—44no—
1245C22⋊Q8—44no—
1246C22⋊Q8—44no—
1247C22⋊Q8—44no—
1248C22⋊Q8—44no—
1249C22⋊Q8—42no—
1250C22⋊Q8—44no—
1251C22⋊Q8—44no—
1252C22⋊Q8—44no—
1253C22⋊Q8—44no—
1254C22⋊Q8—44no—
1255C22⋊Q8—44no—
1256#121C2×Q8116yescomplemented
1257#121C2×Q8116yescomplemented
1258#121C2×Q818yescomplemented
1259#121C2×Q818yescomplemented
1260C4×Q8—24no—
1261C4×Q8—42no—
1262C4×Q8—44no—
1263C4×Q8—44no—
1264C4×Q8—44no—
1265C4×Q8—44no—
1266C4×Q8—44no—
1267C4×Q8—44no—
1268C4×Q8—44no—
1269C4×D4—42no—
1270C4×D4—44no—
1271C4×D4—44no—
1272C4×D4—44no—
1273C4×D4—42no—
1274C4×D4—42no—
1275C4×D4—42no—
1276C4×D4—44no—
1277C4×D4—44no—
1278C4×D4—44no—
1279C4×D4—44no—
1280C4×D4—44no—
1281C4×D4—44no—
1282C4×D4—44no—
1283C4×D4—44no—
1284C4×D4—44no—
1285C4×D4C2×Q818yescomplemented
1286C4×D4C2×Q818yescomplemented
1287#117—42no—
1288#117—44no—
1289#117—44no—
1290#117—44no—
1291#117—44no—
1292#117C2×Q818yescomplemented
1293C2×C4⋊C4—24no—
1294C2×C4⋊C4—42no—
1295C2×C4⋊C4—44no—
1296C2×C4⋊C4—44no—
1297C2×C4⋊C4—44no—
1298C2×C4⋊C4—44no—
1299C2×C4⋊C4—44no—
1300C2×C4⋊C4C2412yes—
1301C2×C4⋊C4C2412yes—
1302C2×C4⋊C4C2412yes—
1303C2×C4⋊C4C2412yes—
1304C2×C4⋊C4C2412yes—
1305C2×C4⋊C4C2412yes—
1306C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1328C2×C4⋊C4C2411yescharacteristic
1329C2×C4⋊C4C2412yes—
1330C2×C4⋊C4C2412yes—
1331C2×C4⋊C4C2412yes—
1332C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1342C2×C4⋊C4C2412yes—
1343C2×C4⋊C4C2411yescharacteristic
1344C2×C4⋊C4C2412yes—
1345C2×C4⋊C4C2412yes—
1346C2×C4⋊C4C2412yes—
1347C2×C4⋊C4C2412yes—
1348C2×C4⋊C4C2412yes—
1349C2×C4⋊C4C2411yescharacteristic
1350C2×C4⋊C4C2412yes—
1351C2×C4⋊C4C2412yes—
1352C2×C4⋊C4C2412yes—
1353C2×C4⋊C4C2412yes—
1354C2×C4⋊C4C2411yescharacteristic
1355C2×C4⋊C4C2411yescharacteristic
1356C2×C4⋊C4C2411yescharacteristic
1357C2×C4⋊C4C2411yescharacteristic
1358C2×C4⋊C4C2412yes—
1359C2×C4⋊C4C2412yes—
1360C2×C4⋊C4C2412yes—
1361C2×C4⋊C4C2412yes—
1362C2×C4⋊C4C2412yes—
1363C2×C4⋊C4C2412yes—
1364C2×C4⋊C4C2412yes—
1365C2×C4⋊C4C2412yes—
1366C2×C4⋊C4C2411yescharacteristic
1367C2×C4⋊C4C2412yes—
1368C2×C4⋊C4C2412yes—
1369C2×C4⋊C4C2412yes—
1370C2×C4⋊C4C2412yes—
1371C2×C4⋊C4C2412yes—
1372C2×C4⋊C4C2412yes—
1373C2×C4⋊C4C2412yes—
1374C2×C4⋊C4C2412yes—
1375C2×C4⋊C4C2412yes—
1376C2×C4⋊C4C2412yes—
1377C2×C4⋊C4C2412yes—
1378C2×C4⋊C4C2412yes—
1379C2×C4⋊C4C2412yes—
1380C2×C4⋊C4C2412yes—
1381C2×C4⋊C4C2412yes—
1382C2×C4⋊C4C2411yescharacteristic
1383C2×C4⋊C4C2412yes—
1384C2×C4⋊C4C2412yes—
1385C2×C4⋊C4C2412yes—
1386C2×C4⋊C4C2412yes—
1387C2×C4⋊C4C2412yes—
1388C2×C4⋊C4C2412yes—
1389C2×C4⋊C4C2411yescharacteristic
1390C2×C4⋊C4C2411yescharacteristic
1391C2×C4⋊C4C2412yes—
1392C2×C4⋊C4C2412yes—
1393C2×C4⋊C4C2412yes—
1394C2×C4⋊C4C2412yes—
1395C2×C4⋊C4C2412yes—
1396C2×C4⋊C4C2411yescharacteristic
1397C2×C4⋊C4C2411yescharacteristic
1398C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1408C2×C4⋊C4C2411yescharacteristic
1409C2×C4⋊C4C2411yescharacteristic
1410C2×C4⋊C4C2411yescharacteristic
1411C2×C4⋊C4C2412yes—
1412C2×C4⋊C4C2412yes—
1413C2×C4⋊C4C2411yescharacteristic
1414C2×C4⋊C4C2411yescharacteristic
1415C2×C22⋊C4C2412yes—
1416C2×C22⋊C4C2412yes—
1417C2×C22⋊C4C2412yes—
1418C2×C22⋊C4C2412yes—
1419C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1451C2×C22⋊C4C2412yes—
1452C2×C22⋊C4C2412yes—
1453C2×C22⋊C4C2412yes—
1454C2×C22⋊C4C2412yes—
1455C2×C22⋊C4C2412yes—
1456C2×C22⋊C4C2412yes—
1457C2×C22⋊C4C2412yes—
1458C2×C22⋊C4C2412yes—
1459C2×C22⋊C4C2412yes—
1460C2×C22⋊C4C2412yes—
1461C2×C22⋊C4C2411yescharacteristic
1462C2×C22⋊C4C2411yescharacteristic
1463C2×C22⋊C4C2412yes—
1464C2×C22⋊C4C2412yes—
1465C2×C22⋊C4C2412yes—
1466C2×C22⋊C4C2412yes—
1467C2×C42—44no—
1468C2×C42—42no—
1469C2×C42C2411yescharacteristic
1470C2×C42C2411yescharacteristic
1471C2×C42C2411yescharacteristic
1472C2×C42C2412yes—
1473C2×C42C2412yes—
1474C2×C42C2411yescharacteristic
1475C2×C42C2411yescharacteristic
1476C2×C42C2411yescharacteristic
1477C2×C42C2412yes—
1478C2×C42C2411yescharacteristic
1479C2×C42C2412yes—
1480C2×C42C2412yes—
1481C2×C42C2412yes—
1482C2×C42C2412yes—
1483C2×C42C2411yescharacteristic
1484C2×C42C2412yes—
1485C2×C42C2412yes—
1486C2×C42C2412yes—
1487C2×C42C2412yes—
1488C2×C42C2412yes—
1489C2×C42C2412yes—
1490C2×C42C2412yes—
1491C2×C42C2412yes—
1492C2×C42C2412yes—
1493C2×C42C2412yes—
1494C2×C42C2412yes—
1495C2×C42C2412yes—
1496C2×C42C2411yescharacteristic
1497C2×C42C2411yescharacteristic
1498C2×C42C2411yescharacteristic
1499C2×C42C2411yescharacteristic
1500C2×C42C2411yescharacteristic
1501C2×C42C2412yes—
1502C2×C42C2412yes—
1503C2×C42C2412yes—
1504C2×C42C2411yescharacteristic
1505C2×C42C2412yes—
1506C2×C42C2412yes—
1507C2×C42C2411yescharacteristic
1508C2×C42C2411yescharacteristic
1509#95C2411yescharacteristic
1510#95C2411yescharacteristic
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#95C2411yescharacteristic
1542#95C2411yescharacteristic
1543#95C2411yescharacteristic
1544#95C2411yescharacteristic
1545#95C2411yescharacteristic
1546#95C2411yescharacteristic
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—
1606#95C2412yes—
1607#95C2412yes—
1608#95C2412yes—
1609#95C2412yes—
1610#95C2412yes—
1611#95C2412yes—
1612#95C2412yes—
1613#95C2412yes—
1614#95C2412yes—
1615#95C2412yes—
1616#95C2412yes—
1617#95C2412yes—
1618#95C2412yes—
1619C24C2512yes—
1620C24C2512yes—
1621C24C2511yescharacteristic
1622C2×Q8—24no—
1623C2×Q8—24no—
1624C2×Q8—24no—
1625C2×Q8—24no—
1626C2×Q8—22no—
1627C2×Q8—22no—
1628C2×Q8—24no—
1629C2×Q8—24no—
1630C2×Q8—24no—
1631C2×Q8—24no—
1632C2×Q8—24no—
1633C2×Q8—24no—
1634C2×Q8—42no—
1635C2×Q8—42no—
1636C2×Q8—42no—
1637C2×Q8—42no—
1638C2×Q8—42no—
1639C2×Q8—42no—
1640C2×Q8—41no—
1641C2×Q8—42no—
1642C2×Q8—42no—
1643C2×Q8—42no—
1644C2×Q8—42no—
1645C2×Q8—41no—
1646C2×Q8—42no—
1647C2×Q8—42no—
1648C2×Q8—42no—
1649C2×Q8—42no—
1650C2×Q8—42no—
1651C2×Q8—41no—
1652C2×Q8—41no—
1653C2×Q8—42no—
1654C2×Q8—42no—
1655C2×Q8—42no—
1656C2×Q8—42no—
1657C2×Q8—42no—
1658C2×Q8—42no—
1659C2×Q8—42no—
1660C2×Q8—42no—
1661C2×Q8—816no—
1662C2×Q8—816no—
1663C2×D4—42no—
1664C2×D4—42no—
1665C2×D4—42no—
1666C2×D4—42no—
1667C2×D4—41no—
1668C2×D4—41no—
1669C2×D4—41no—
1670C2×D4—41no—
1671C2×D4—42no—
1672C2×D4—42no—
1673C2×D4—42no—
1674C2×D4—42no—
1675C2×D4C22×Q814yes—
1676C2×D4C22×Q814yes—
1677C2×D4C22×Q818yes—
1678C2×D4C22×Q818yes—
1679C2×D4C22×Q818yes—
1680C2×D4C22×Q818yes—
1681C22×C4—24no—
1682C22×C4—22no—
1683C22×C4—24no—
1684C22×C4—22no—
1685C22×C4—24no—
1686C22×C4—22no—
1687C22×C4—24no—
1688C22×C4—24no—
1689C22×C4—24no—
1690C22×C4—24no—
1691C22×C4—24no—
1692C22×C4—42no—
1693C22×C4—41no—
1694C22×C4—42no—
1695C22×C4—41no—
1696C22×C4—42no—
1697C22×C4—42no—
1698C22×C4—41no—
1699C22×C4—42no—
1700C22×C4—42no—
1701C22×C4—41no—
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—42no—
1713C22×C4—42no—
1714C22×C4—42no—
1715C22×C4—41no—
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×C4—42no—
1732C22×C4—42no—
1733C22×C4—42no—
1734C22×C4—42no—
1735C22×C4C22×Q814yes—
1736C22×C4C22×Q818yes—
1737C22×C4C22×Q818yes—
1738C22×C4C2512yes—
1739C22×C4C2512yes—
1740C22×C4C2511yescharacteristic
1741C22×C4C2511yescharacteristic
1742C22×C4C2511yescharacteristic
1743C22×C4C2512yes—
1744C22×C4C2512yes—
1745C22×C4C2512yes—
1746C22×C4C2512yes—
1747C22×C4C2512yes—
1748C22×C4C2512yes—
1749C22×C4C2512yes—
1750C22×C4C2512yes—
1751C22×C4C2512yes—
1752C22×C4C2512yes—
1753C22×C4C2512yes—
1754C22×C4C2512yes—
1755C22×C4C2512yes—
1756C22×C4C2512yes—
1757C22×C4C2512yes—
1758C22×C4C2512yes—
1759C22×C4C2511yescharacteristic
1760C22×C4C2511yescharacteristic
1761C22×C4C2511yescharacteristic
1762C22×C4C2511yescharacteristic
1763C22×C4C2511yescharacteristic
1764C22×C4C2511yescharacteristic
1765C22×C4C2512yes—
1766C22×C4C2512yes—
1767C22×C4C2511yescharacteristic
1768C22×C4C2512yes—
1769C22×C4C2512yes—
1770C22×C4C2511yescharacteristic
1771C22×C4C2511yescharacteristic
1772C22×C4C2511yescharacteristic
1773C22×C4C2511yescharacteristic
1774C4⋊C4—24no—
1775C4⋊C4—22no—
1776C4⋊C4—24no—
1777C4⋊C4—24no—
1778C4⋊C4—24no—
1779C4⋊C4—24no—
1780C4⋊C4—24no—
1781C4⋊C4—24no—
1782C4⋊C4—24no—
1783C4⋊C4—24no—
1784C4⋊C4—24no—
1785C4⋊C4—24no—
1786C4⋊C4—24no—
1787C4⋊C4—24no—
1788C4⋊C4—24no—
1789C4⋊C4—24no—
1790C4⋊C4—24no—
1791C4⋊C4—24no—
1792C4⋊C4—24no—
1793C4⋊C4—24no—
1794C4⋊C4—24no—
1795C4⋊C4—24no—
1796C4⋊C4—24no—
1797C4⋊C4—24no—
1798C4⋊C4—22no—
1799C4⋊C4—22no—
1800C4⋊C4—24no—
1801C4⋊C4—22no—
1802C4⋊C4—24no—
1803C4⋊C4—24no—
1804C4⋊C4—24no—
1805C4⋊C4—22no—
1806C4⋊C4—24no—
1807C4⋊C4—24no—
1808C4⋊C4—42no—
1809C4⋊C4—41no—
1810C4⋊C4—41no—
1811C4⋊C4—42no—
1812C4⋊C4—42no—
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—41no—
1822C4⋊C4—41no—
1823C4⋊C4—42no—
1824C4⋊C4—42no—
1825C4⋊C4—42no—
1826C4⋊C4—42no—
1827C4⋊C4—42no—
1828C4⋊C4—42no—
1829C4⋊C4—42no—
1830C4⋊C4—42no—
1831C4⋊C4—42no—
1832C4⋊C4—42no—
1833C4⋊C4—41no—
1834C4⋊C4—42no—
1835C4⋊C4—42no—
1836C4⋊C4—42no—
1837C4⋊C4—42no—
1838C4⋊C4—41no—
1839C4⋊C4—41no—
1840C4⋊C4—41no—
1841C4⋊C4—41no—
1842C4⋊C4—42no—
1843C4⋊C4—42no—
1844C4⋊C4—42no—
1845C4⋊C4—42no—
1846C4⋊C4—41no—
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—41no—
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—42no—
1871C4⋊C4—42no—
1872C4⋊C4—42no—
1873C4⋊C4—42no—
1874C4⋊C4—42no—
1875C4⋊C4—42no—
1876C4⋊C4—42no—
1877C4⋊C4—41no—
1878C4⋊C4—41no—
1879C4⋊C4—42no—
1880C4⋊C4—42no—
1881C4⋊C4C22×Q814yes—
1882C4⋊C4C22×Q814yes—
1883C4⋊C4C22×Q814yes—
1884C4⋊C4C22×Q814yes—
1885C4⋊C4C22×Q818yes—
1886C4⋊C4C22×Q818yes—
1887C4⋊C4H(5,𝔽2)14yes—
1888C4⋊C4H(5,𝔽2)14yes—
1889C22⋊C4—24no—
1890C22⋊C4—24no—
1891C22⋊C4—24no—
1892C22⋊C4—24no—
1893C22⋊C4—24no—
1894C22⋊C4—24no—
1895C22⋊C4—24no—
1896C22⋊C4—24no—
1897C22⋊C4—24no—
1898C22⋊C4—22no—
1899C22⋊C4—24no—
1900C22⋊C4—42no—
1901C22⋊C4—42no—
1902C22⋊C4—42no—
1903C22⋊C4—42no—
1904C22⋊C4—42no—
1905C22⋊C4—42no—
1906C22⋊C4—42no—
1907C22⋊C4—41no—
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⋊C4—42no—
1928C22⋊C4—42no—
1929C22⋊C4—42no—
1930C22⋊C4—42no—
1931C22⋊C4—42no—
1932C22⋊C4—42no—
1933C22⋊C4—42no—
1934C22⋊C4—42no—
1935C22⋊C4C22×Q814yes—
1936C22⋊C4C22×Q814yes—
1937C22⋊C4C22×Q818yes—
1938C22⋊C4C22×Q818yes—
1939C22⋊C4C22×Q818yes—
1940C22⋊C4C22×Q818yes—
1941C42—24no—
1942C42—24no—
1943C42—22no—
1944C42—22no—
1945C42—24no—
1946C42—22no—
1947C42—22no—
1948C42—22no—
1949C42—22no—
1950C42—22no—
1951C42—41no—
1952C42—41no—
1953C42—42no—
1954C42—42no—
1955C42—41no—
1956C42—42no—
1957C42—42no—
1958C42—42no—
1959C42—42no—
1960C42—42no—
1961C42—41no—
1962C42—41no—
1963C42—41no—
1964C42—41no—
1965C42—42no—
1966C42—42no—
1967C42—42no—
1968C42—42no—
1969C42—42no—
1970C42—42no—
1971C42—42no—
1972C42—42no—
1973C42—42no—
1974C42—42no—
1975C42—42no—
1976C42—42no—
1977C42—42no—
1978C42—42no—
1979C42C22×Q814yes—
1980C42C22×Q814yes—
1981C23—22no—
1982C23—22no—
1983C23—22no—
1984C23—22no—
1985C23—21no—
1986C23—21no—
1987C23—21no—
1988C23—22no—
1989C23—22no—
1990C23—22no—
1991C23—21no—
1992C23—22no—
1993C23—22no—
1994C23—21no—
1995C23—22no—
1996C23—22no—
1997C23—22no—
1998C23—21no—
1999C23C23×Q814yes—
2000C23C23×Q814yes—
2001C23C23×Q812yes—
2002C23C2611yescharacteristic
2003Q8—48no—
2004Q8—48no—
2005Q8—48no—
2006Q8—84no—
2007Q8—84no—
2008Q8—82no—
2009Q8—82no—
2010Q8—84no—
2011Q8—84no—
2012Q8—84no—
2013Q8—84no—
2014Q8—162no—
2015Q8—162no—
2016D4—48no—
2017D4—48no—
2018D4—48no—
2019D4—48no—
2020D4—44no—
2021D4—44no—
2022C2×C4—21no—
2023C2×C4—21no—
2024C2×C4—21no—
2025C2×C4—22no—
2026C2×C4—22no—
2027C2×C4—21no—
2028C2×C4—21no—
2029C2×C4—21no—
2030C2×C4—22no—
2031C2×C4—21no—
2032C2×C4—22no—
2033C2×C4—21no—
2034C2×C4—21no—
2035C2×C4—21no—
2036C2×C4—21no—
2037C2×C4—21no—
2038C2×C4—21no—
2039C2×C4—22no—
2040C2×C4—22no—
2041C2×C4—21no—
2042C2×C4—22no—
2043C2×C4—22no—
2044C2×C4—21no—
2045C2×C4—21no—
2046C2×C4—21no—
2047C2×C4—21no—
2048C2×C4—21no—
2049C2×C4—21no—
2050C2×C4—22no—
2051C2×C4—22no—
2052C2×C4—21no—
2053C2×C4—21no—
2054C2×C4—22no—
2055C2×C4—22no—
2056C2×C4—22no—
2057C2×C4—22no—
2058C2×C4—21no—
2059C2×C4—22no—
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—21no—
2076C2×C4—21no—
2077C2×C4—21no—
2078C2×C4—22no—
2079C2×C4—22no—
2080C2×C4—21no—
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—22no—
2093C2×C4—22no—
2094C2×C4—22no—
2095C2×C4—22no—
2096C2×C4—22no—
2097C2×C4—21no—
2098C2×C4—21no—
2099C2×C4—21no—
2100C2×C4—21no—
2101C2×C4—22no—
2102C2×C4—22no—
2103C2×C4—22no—
2104C2×C4—22no—
2105C2×C4—22no—
2106C2×C4—22no—
2107C2×C4—22no—
2108C2×C4—22no—
2109C2×C4—22no—
2110C2×C4—22no—
2111C2×C4—22no—
2112C2×C4—22no—
2113C2×C4—22no—
2114C2×C4—22no—
2115C2×C4—21no—
2116C2×C4—48no—
2117C2×C4—48no—
2118C2×C4—44no—
2119C2×C4—44no—
2120C2×C4—48no—
2121C2×C4—84no—
2122C2×C4—84no—
2123C2×C4—82no—
2124C2×C4—84no—
2125C2×C4—84no—
2126C2×C4—84no—
2127C2×C4—84no—
2128C2×C4—84no—
2129C2×C4—84no—
2130C2×C4—84no—
2131C2×C4—162no—
2132C2×C4—162no—
2133C2×C4—162no—
2134C2×C4—162no—
2135C2×C4C23×Q812yes—
2136C2×C4C23×Q812yes—
2137C2×C4C23×Q812yes—
2138C2×C4C23×Q812yes—
2139C2×C4C23×Q812yes—
2140C2×C4C23×Q812yes—
2141C2×C4C23×Q814yes—
2142C2×C4C23×Q814yes—
2143C2×C4C2×H(5,𝔽2)12yes—
2144C2×C4C2×H(5,𝔽2)12yes—
2145C2×C4C2×H(5,𝔽2)14yes—
2146C2×C4C2×H(5,𝔽2)14yes—
2147C2×C4#58512yes—
2148C2×C4#58512yes—
2149C22—24no—
2150C22—24no—
2151C22—24no—
2152C22—24no—
2153C22—22no—
2154C22—22no—
2155C22—22no—
2156C22—24no—
2157C22—24no—
2158C22—42no—
2159C22—42no—
2160C22—41no—
2161C22—42no—
2162C22—41no—
2163C22—42no—
2164C22—41no—
2165C22—42no—
2166C22—42no—
2167C22—41no—
2168C22—42no—
2169C22—42no—
2170C22C24×Q811yescharacteristic
2171C22C22×H(5,𝔽2)11yescharacteristic
2172C22C22×H(5,𝔽2)11yescharacteristic
2173C22C2×#58511yescharacteristic
2174C22C2×#58511yescharacteristic
2175C222−1+611yescharacteristic
2176C222−1+611yescharacteristic
2177C4—22no—
2178C4—22no—
2179C4—24no—
2180C4—24no—
2181C4—22no—
2182C4—22no—
2183C4—24no—
2184C4—24no—
2185C4—22no—
2186C4—22no—
2187C4—22no—
2188C4—22no—
2189C4—22no—
2190C4—22no—
2191C4—42no—
2192C4—42no—
2193C4—42no—
2194C4—42no—
2195C4—42no—
2196C4—42no—
2197C4—41no—
2198C4—41no—
2199C4—41no—
2200C4—42no—
2201C4—42no—
2202C4—42no—
2203C4—42no—
2204C4—42no—
2205C4—42no—
2206C4—42no—
2207C4—42no—
2208C4—41no—
2209C4—42no—
2210C4—42no—
2211C4—42no—
2212C4—42no—
2213C2—44no—
2214C2—44no—
2215C2—42no—
2216C2#6281311yescharacteristic
2217C2#6292711yescharacteristic
2218C2#6293111yescharacteristic
2219C2Q8×H(5,𝔽2)11yescharacteristic
2220C2Q8×H(5,𝔽2)11yescharacteristic
2221C2#6301211yescharacteristic
2222C2#6305311yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#540C22
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. #59817C2semidirect
3. #59809C2semidirect
4. #59736C2semidirect
5. #59153C2semidirect
6. #59096C2semidirect
7. #52162C2semidirect
8. #52036C2semidirect
9. #51596C2semidirect
10. #51592C2semidirect
11. #50698C2semidirect
12. #47982C2semidirect
13. #47966C2semidirect
14. #47727C2semidirect
15. #47019C2semidirect
16. #46282C2semidirect
17. #45793C2semidirect
18. #44939C2semidirect
19. #43891C2semidirect
20. #43571C2semidirect
21. #43567C2semidirect
22. #43133C2semidirect
23. #43132C2semidirect
24. #43131C2semidirect
25. #43100C2semidirect
26. #42008C2semidirect
27. #39708C2semidirect
28. #39701C2semidirect
29. #39701C2semidirect
30. #39614C2semidirect
31. #39365C2semidirect
32. #38453C2semidirect
33. #37137C2semidirect
34. #36480C2semidirect
35. #36280C2semidirect
36. #35931C2semidirect
37. #35398C2semidirect
402. #540Q8semidirect
1218. #125C2×Q8semidirect
1219. #123C2×Q8semidirect
1220. #123C2×Q8semidirect
1256. #121C2×Q8semidirect
1257. #121C2×Q8semidirect
1258. #121C2×Q8semidirect
1259. #121C2×Q8semidirect
1285. C4×D4C2×Q8semidirect
1286. C4×D4C2×Q8semidirect
1292. #117C2×Q8semidirect

Maximal subgroups

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

subgroupindex
#598302
#598172
#598092
#597362
#591532
#590962
#521622
#520362
#515962
#515922
#506982
#479822
#479662
#477272
#470192
#462822
#457932
#449392
#438912
#435712
#435672
#431332
#431322
#431312
#431002
#420082
#397082
#397012
#396142
#393652
#384532
#371372
#364802
#362802
#359312
#353982
#344422
#342802