Finite Group Databasebeta

← #7780465

Subgroups — #7780465

Order 512.

4848 conjugacy classes of subgroups.

The subgroup lattice has 1727 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59864C211yesmaximal, characteristic, complemented
2#59856C212yesmaximal, complemented
3#59823C211yesmaximal, characteristic, complemented
4#59655C211yesmaximal, characteristic, complemented
5#59429C211yesmaximal, characteristic, complemented
6#59199C212yesmaximal, complemented
7#51787C214yesmaximal, complemented
8#47959C214yesmaximal, complemented
9#46435C214yesmaximal, complemented
10#46431C214yesmaximal, complemented
11#45498C212yesmaximal, complemented
12#45493C212yesmaximal, complemented
13#45233C212yesmaximal, complemented
14#44951C212yesmaximal, complemented
15#42953C212yesmaximal, complemented
16#42486C212yesmaximal, complemented
17#39672C212yesmaximal, complemented
18#39664C212yesmaximal, complemented
19#39634C211yesmaximal, characteristic, complemented
20#39631C212yesmaximal, complemented
21#39630C212yesmaximal, complemented
22#39617C211yesmaximal, characteristic, complemented
23#39605C212yesmaximal, complemented
24#39605C212yesmaximal, complemented
25#37429C212yesmaximal, complemented
26#36559C211yesmaximal, characteristic, complemented
27#36555C211yesmaximal, characteristic, complemented
28#36456C211yesmaximal, characteristic, complemented
29#36275C211yesmaximal, characteristic, complemented
30#36154C211yesmaximal, characteristic, complemented
31#36154C211yesmaximal, characteristic, complemented
32#35284C211yesmaximal, characteristic, complemented
33#34916C211yesmaximal, characteristic, complemented
34#34438C212yesmaximal
35C4×#535C211yesmaximal, characteristic
36C2×Q82C2211yescharacteristic, complemented
37C2×#554C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#554C2211yescharacteristic, complemented
40C2×#535C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42C22×C4×D4C2211yescharacteristic
43#2868C2211yescharacteristic, complemented
44#2864C2212yescomplemented
45#2859C2212yescomplemented
46#2859C2211yescharacteristic, complemented
47#2857C2211yescharacteristic
48#2857C2211yescharacteristic
49#2857C2212yescomplemented
50#2855C2212yescomplemented
51#2848C2212yes—
52#2848C2212yes—
53#2842C2214yes—
54#2841C2214yescomplemented
55#2807C2214yescomplemented
56#2807C2214yescomplemented
57#2807C2214yescomplemented
58#2805C2214yescomplemented
59#2804C2214yescomplemented
60#2802C2214yescomplemented
61#2791C2214yescomplemented
62#2790C2214yes—
63#2790C2214yescomplemented
64#2788C2214yes—
65#2788C2214yescomplemented
66#2788C2214yescomplemented
67#2788C2214yescomplemented
68#2784C2214yes—
69#2784C2214yescomplemented
70#2780C2214yes—
71#2780C2214yes—
72#2780C2214yes—
73#2780C2214yescomplemented
74#2780C2214yescomplemented
75#2780C2214yescomplemented
76#2780C2214yescomplemented
77#2780C2214yescomplemented
78#2768C2214yes—
79#2768C2214yescomplemented
80#2768C2214yescomplemented
81#2755C2214yescomplemented
82#2748C2214yes—
83#2748C2214yes—
84#2748C2214yescomplemented
85#2748C2214yescomplemented
86#2742C2214yes—
87#2732C2214yes—
88#2732C2214yescomplemented
89#2732C2214yescomplemented
90#2729C2214yescomplemented
91#2692C2214yes—
92#2692C2214yescomplemented
93#2677C2214yescomplemented
94#2677C2214yescomplemented
95#2667C2214yescomplemented
96#2660C2212yescomplemented
97#2647C2212yescomplemented
98#2647C2212yescomplemented
99#2646C2214yescomplemented
100#2629C2212yes—
101#2626C2214yes—
102#2626C2214yes—
103#2590C2212yescomplemented
104#2589C2212yes—
105#2588C2212yescomplemented
106#2587C2212yes—
107#2587C2214yescomplemented
108#2587C2214yescomplemented
109#2582C2211yescharacteristic, complemented
110#2581C2212yescomplemented
111#2580C2212yes—
112#2580C2214yescomplemented
113#2580C2212yescomplemented
114#2579C2214yescomplemented
115#2571C2212yescomplemented
116#2570C2212yescomplemented
117#2569C2214yescomplemented
118#2567C2211yescharacteristic, complemented
119#2566C2212yes—
120#2566C2212yescomplemented
121#2565C2212yescomplemented
122#2564C2214yescomplemented
123#2564C2214yescomplemented
124#2563C2211yescharacteristic
125#2563C2211yescharacteristic
126#2563C2212yes—
127#2563C2211yescharacteristic, complemented
128#2563C2212yescomplemented
129#2552C2212yescomplemented
130#2550C2212yescomplemented
131#2542C2212yes—
132#2542C2212yescomplemented
133#2538C2211yescharacteristic
134#2538C2212yes—
135#2538C2211yescharacteristic
136#2538C2212yes—
137#2538C2214yescomplemented
138#2538C2211yescharacteristic, complemented
139#2538C2212yescomplemented
140#2538C2212yescomplemented
141#2522C2214yescomplemented
142#2522C2214yescomplemented
143#2522C2214yescomplemented
144#2511C2211yescharacteristic, complemented
145#2507C2211yescharacteristic, complemented
146#2507C2212yescomplemented
147#2507C2212yescomplemented
148#2505C2214yescomplemented
149#2505C2214yescomplemented
150#2505C2214yescomplemented
151#2505C2214yescomplemented
152#2497C2211yescharacteristic
153#2497C2212yes—
154#2497C2212yes—
155#2497C2212yescomplemented
156#2497C2212yescomplemented
157#2497C2214yescomplemented
158#2497C2212yescomplemented
159#2492C2211yescharacteristic
160#2492C2212yescomplemented
161#2487C2212yes—
162#2487C2212yes—
163#2487C2212yes—
164#2487C2212yescomplemented
165#2487C2212yescomplemented
166#2487C2214yescomplemented
167#2487C2212yescomplemented
168#2487C2212yescomplemented
169#2465C2214yescomplemented
170#2454C2212yes—
171#2454C2212yes—
172#2454C2212yes—
173#2454C2212yes—
174#2454C2212yes—
175#2454C2212yescomplemented
176#2454C2212yescomplemented
177#2453C2212yescomplemented
178#2453C2212yescomplemented
179#2453C2212yescomplemented
180#2452C2212yes—
181#2452C2214yes—
182#2452C2214yescomplemented
183#2452C2214yescomplemented
184#2452C2212yescomplemented
185#2451C2211yescharacteristic, complemented
186#2450C2214yes—
187#2450C2214yes—
188#2450C2214yescomplemented
189#2450C2214yescomplemented
190#2449C2214yes—
191#2449C2214yescomplemented
192#2449C2214yescomplemented
193#2446C2212yescomplemented
194#2446C2212yescomplemented
195#2446C2211yescharacteristic, complemented
196#2442C2212yes—
197#2442C2212yes—
198#2441C2212yes—
199#2440C2212yescomplemented
200#2440C2212yescomplemented
201#2440C2212yescomplemented
202#2440C2212yescomplemented
203#2439C2212yes—
204#2439C2214yescomplemented
205#2438C2214yescomplemented
206#2437C2214yes—
207#2437C2214yes—
208#2437C2214yes—
209#2429C2212yes—
210#2429C2212yes—
211#2429C2211yescharacteristic
212#2429C2214yescomplemented
213#2429C2212yescomplemented
214#2423C2211yescharacteristic
215#2423C2212yescomplemented
216#2423C2212yescomplemented
217#2423C2212yescomplemented
218#2417C2212yes—
219#2417C2212yes—
220#2417C2212yes—
221#2417C2212yescomplemented
222#2417C2212yescomplemented
223#2417C2212yescomplemented
224#2417C2212yescomplemented
225#2402C2212yescomplemented
226#2396C2212yes—
227#2377C2214yes—
228#2375C2214yes—
229#2367C2212yes—
230#2367C2212yes—
231#2366C2212yes—
232#2366C2212yes—
233#2364C2214yes—
234#2360C2212yescomplemented
235#2360C2212yescomplemented
236#2358C2214yes—
237#2351C2212yescomplemented
238Q8×C4⋊C4C2211yescharacteristic, complemented
239#2349C2212yes—
240#2349C2212yes—
241D4×C4⋊C4C2211yescharacteristic
242D4×C4⋊C4C2211yescharacteristic
243D4×C4⋊C4C2212yescomplemented
244D4×C4⋊C4C2212yescomplemented
245D4×C4⋊C4C2212yescomplemented
246D4×C4⋊C4C2211yescharacteristic, complemented
247D4×C4⋊C4C2212yescomplemented
248D4×C4⋊C4C2212yescomplemented
249#2345C2212yescomplemented
250#2345C2212yescomplemented
251#2341C2212yes—
252#2339C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255#2333C2214yes—
256#2330C2212yescomplemented
257#2328C2211yescharacteristic
258#2328C2211yescharacteristic
259#2328C2212yes—
260#2326C2211yescharacteristic
261#2326C2211yescharacteristic
262#2326C2212yes—
263#2325C2214yes—
264#2324C2212yes—
265#2324C2212yes—
266#2321C2212yes—
267#2321C2212yes—
268#2321C2214yes—
269#2321C2214yes—
270#2317C2211yescharacteristic
271#2314C2212yes—
272#2311C2211yescharacteristic
273#2309C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2212yes—
281C4×#124C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2212yes—
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yescomplemented
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#120C2212yes—
290C4×#120C2212yes—
291#2298C2212yes—
292#2295C2211yescharacteristic, complemented
293#2295C2212yescomplemented
294C2×#389C2212yescomplemented
295C2×#380C2212yes—
296C2×#380C2212yes—
297C42×Q8C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302Q82—44no—
303#554—44no—
304#554—44no—
305#554—44no—
306#535Q8116yescomplemented
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2314yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#124C2311yescharacteristic
323C2×#124C2311yescharacteristic
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#120C2312yes—
345C2×#120C2312yes—
346C4×#41—44no—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2311yescharacteristic
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2312yes—
359C2×C4×D4—44no—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×#117C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2314yes—
396C22×C22⋊C4C2312yes—
397C22×C22⋊C4C2314yes—
398C22×C22⋊C4C2314yes—
399C22×C42C2311yescharacteristic
400C22×C42C2312yes—
401#400C2312yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2314yes—
413#400C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2312yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2312yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2312yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2312yes—
487#395C2314yes—
488#393C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#393C2312yes—
496#393C2314yes—
497#391C2312yes—
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2312yes—
501#391C2312yes—
502#391C2311yescharacteristic
503#391C2312yes—
504#391C2311yescharacteristic
505#391C2312yes—
506#391C2312yes—
507#391C2312yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2311yescharacteristic
515#391C2311yescharacteristic
516#391C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2314yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2314yes—
532#390C2312yes—
533#390C2312yes—
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2314yes—
537#390C2312yes—
538#390C2312yes—
539#390C2314yes—
540#390C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2312yes—
544#389C2312yes—
545#389C2312yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2311yescharacteristic
575#389C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#388C2314yes—
594#388C2314yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2312yes—
605#388C2312yes—
606#388C2312yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2312yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2312yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2311yescharacteristic
717#384C2312yes—
718#384C2312yes—
719#384C2312yes—
720#384C2312yes—
721#384C2312yes—
722#384C2314yes—
723#382C2312yes—
724#382C2312yes—
725#382C2314yes—
726#382C2312yes—
727#382C2314yes—
728#382C2312yes—
729#382C2311yescharacteristic
730#382C2311yescharacteristic
731#381C2314yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2314yes—
746#380C2314yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2311yescharacteristic
766#379C2312yes—
767#379C2312yes—
768#379C2314yes—
769#379C2314yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810#376C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C43C2311yescharacteristic
815C43C2312yes—
816C43C2311yescharacteristic
817C25C2412yes—
818C2×#41—42no—
819C2×#41—42no—
820C2×#41C2×Q818yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×D4—42no—
829C22×D4—42no—
830C22×D4C2×Q818yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C23×C4—44no—
841C23×C4—44no—
842C23×C4—44no—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2414yes—
852C23×C4C2414yes—
853C23×C4C2412yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2412yes—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—42no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865C4⋊Q8—42no—
866C4⋊Q8—48no—
867C4⋊Q8—82no—
868C4⋊Q8—82no—
869#127C2×Q818yes—
870#127C2×Q818yes—
871#125—44no—
872#125—44no—
873#125—44no—
874#125—44no—
875#124C2×Q818yes—
876#124C2×Q818yes—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—48no—
880C22⋊Q8—44no—
881C22⋊Q8—42no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—42no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887C22⋊Q8—44no—
888C22⋊Q8—82no—
889C22⋊Q8—82no—
890C22⋊Q8—84no—
891C22⋊Q8—84no—
892C22⋊Q8—84no—
893C22⋊Q8—84no—
894C22⋊Q8—84no—
895#121C2×Q8116yes—
896#121C2×Q8116yes—
897#120C2×Q8116yes—
898#120C2×Q8116yes—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—42no—
904C4×Q8—42no—
905C4×Q8—44no—
906C4×Q8—42no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—82no—
910C4×Q8—82no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—44no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4—44no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—84no—
932C4×D4—84no—
933C4×D4—84no—
934C4×D4—84no—
935#117—42no—
936#117—44no—
937#117—42no—
938#117C2×Q818yes—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4—42no—
943C2×C4⋊C4—44no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—44no—
946C2×C4⋊C4—84no—
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C22⋊C4—44no—
1027C2×C22⋊C4—84no—
1028C2×C22⋊C4—84no—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C42—24no—
1081C2×C42—44no—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181C24—42no—
1182C24—42no—
1183C24—42no—
1184C24—42no—
1185C24—42no—
1186C24—42no—
1187C24C22×Q818yes—
1188C24C2511yescharacteristic
1189C24C2512yes—
1190C24C2512yes—
1191C24C2512yes—
1192#41—416no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—24no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—42no—
1204C2×Q8—42no—
1205C2×Q8—42no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—42no—
1210C2×Q8—44no—
1211C2×Q8—44no—
1212C2×Q8—44no—
1213C2×Q8C22×Q814yes—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—416no—
1221C2×D4—42no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—42no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4C22×Q814yes—
1234C2×D4C22×Q814yes—
1235C2×D4C22×Q814yes—
1236C2×D4C22×Q818yes—
1237C2×D4C22×Q818yes—
1238C2×D4C22×Q818yes—
1239C2×D4C22×Q818yes—
1240C2×D4C22×Q818yes—
1241C2×D4C22×Q818yes—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—44no—
1262C22×C4—42no—
1263C22×C4—44no—
1264C22×C4—42no—
1265C22×C4—42no—
1266C22×C4—44no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—42no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—42no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—816no—
1292C22×C4C22×Q814yes—
1293C22×C4C22×Q818yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2512yes—
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2511yescharacteristic
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2514yes—
1315C22×C4C2514yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—24no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—22no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4C22×Q814yes—
1403C4⋊C4C22×Q814yes—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4C22×Q814yes—
1450C22⋊C4C22×Q814yes—
1451C22⋊C4C22×Q818yes—
1452C22⋊C4C22×Q818yes—
1453C22⋊C4C22×Q818yes—
1454C22⋊C4C22×Q818yes—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—24no—
1459C42—24no—
1460C42—24no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—24no—
1466C42—22no—
1467C42—22no—
1468C42—24no—
1469C42—42no—
1470C42—42no—
1471C42—42no—
1472C42—42no—
1473C42—44no—
1474C42—44no—
1475C42—42no—
1476C42—42no—
1477C42—44no—
1478C42—44no—
1479C42—41no—
1480C42—41no—
1481C42—41no—
1482C42—41no—
1483C42C22×Q814yes—
1484C42C22×Q814yes—
1485C42H(5,𝔽2)14yes—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—21no—
1490C23—22no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—21no—
1503C23—21no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—48no—
1511C23—48no—
1512C23—48no—
1513C23—84no—
1514C23—84no—
1515C23—84no—
1516C23—84no—
1517C23C23×Q812yes—
1518C23C23×Q814yes—
1519C23C23×Q814yes—
1520C23C23×Q814yes—
1521C23C2611yescharacteristic
1522Q8—28no—
1523Q8—44no—
1524Q8—44no—
1525Q8—84no—
1526Q8—84no—
1527Q8—84no—
1528Q8—164no—
1529D4—28no—
1530D4—28no—
1531D4—28no—
1532D4—48no—
1533D4—48no—
1534D4—48no—
1535D4—48no—
1536D4—48no—
1537D4—48no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—28no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—24no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—48no—
1620C2×C4—48no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—82no—
1625C2×C4—84no—
1626C2×C4—88no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—164no—
1631C2×C4—164no—
1632C2×C4—164no—
1633C2×C4—164no—
1634C2×C4—164no—
1635C2×C4C23×Q812yes—
1636C2×C4C23×Q812yes—
1637C2×C4C23×Q812yes—
1638C2×C4C23×Q812yes—
1639C2×C4C23×Q814yes—
1640C2×C4C23×Q812yes—
1641C2×C4C23×Q812yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4#58512yes—
1646C2×C4#58512yes—
1647C2×C4#58512yes—
1648C22—24no—
1649C22—24no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—22no—
1655C22—22no—
1656C22—22no—
1657C22—24no—
1658C22—24no—
1659C22—24no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—41no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—41no—
1676C22—816no—
1677C22C24×Q811yescharacteristic
1678C22C22×H(5,𝔽2)11yescharacteristic
1679C22C2×#58511yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22C2×#58511yescharacteristic
1682C22H(7,𝔽2)11yescharacteristic
1683C22H(7,𝔽2)11yescharacteristic
1684C4—22no—
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—24no—
1690C4—22no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—41no—
1695C4—42no—
1696C4—42no—
1697C4—41no—
1698C4—42no—
1699C4—42no—
1700C4—44no—
1701C4—42no—
1702C4—44no—
1703C4—41no—
1704C4—44no—
1705C4—42no—
1706C4—42no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—42no—
1711C4—44no—
1712C4—42no—
1713C4#350114yes—
1714C4#356214yes—
1715C2—44no—
1716C2—44no—
1717C2—44no—
1718C2—42no—
1719C2C2×#356211yescharacteristic
1720C2C2×#350111yescharacteristic
1721C2#6288011yescharacteristic
1722C2#6293711yescharacteristic
1723C2#6293811yescharacteristic
1724C2#6298911yescharacteristic
1725C2#6298911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59864C2semidirect
2. #59856C2semidirect
3. #59823C2semidirect
4. #59655C2semidirect
5. #59429C2semidirect
6. #59199C2semidirect
7. #51787C2semidirect
8. #47959C2semidirect
9. #46435C2semidirect
10. #46431C2semidirect
11. #45498C2semidirect
12. #45493C2semidirect
13. #45233C2semidirect
14. #44951C2semidirect
15. #42953C2semidirect
16. #42486C2semidirect
17. #39672C2semidirect
18. #39664C2semidirect
19. #39634C2semidirect
20. #39631C2semidirect
21. #39630C2semidirect
22. #39617C2semidirect
23. #39605C2semidirect
24. #39605C2semidirect
25. #37429C2semidirect
26. #36559C2semidirect
27. #36555C2semidirect
28. #36456C2semidirect
29. #36275C2semidirect
30. #36154C2semidirect
31. #36154C2semidirect
32. #35284C2semidirect
33. #34916C2semidirect
36. C2×Q82C22semidirect
39. C2×#554C22semidirect
43. #2868C22semidirect
44. #2864C22semidirect
45. #2859C22semidirect
46. #2859C22semidirect
49. #2857C22semidirect
50. #2855C22semidirect
54. #2841C22semidirect
55. #2807C22semidirect
56. #2807C22semidirect
57. #2807C22semidirect
58. #2805C22semidirect
59. #2804C22semidirect
60. #2802C22semidirect
61. #2791C22semidirect
63. #2790C22semidirect
65. #2788C22semidirect
66. #2788C22semidirect
67. #2788C22semidirect
69. #2784C22semidirect
73. #2780C22semidirect
74. #2780C22semidirect
75. #2780C22semidirect
76. #2780C22semidirect
77. #2780C22semidirect
79. #2768C22semidirect
80. #2768C22semidirect
81. #2755C22semidirect
84. #2748C22semidirect
85. #2748C22semidirect
88. #2732C22semidirect
89. #2732C22semidirect
90. #2729C22semidirect
92. #2692C22semidirect
93. #2677C22semidirect
94. #2677C22semidirect
95. #2667C22semidirect
96. #2660C22semidirect
97. #2647C22semidirect
98. #2647C22semidirect
99. #2646C22semidirect
103. #2590C22semidirect
105. #2588C22semidirect
107. #2587C22semidirect
108. #2587C22semidirect
109. #2582C22semidirect
110. #2581C22semidirect
112. #2580C22semidirect
113. #2580C22semidirect
114. #2579C22semidirect
115. #2571C22semidirect
116. #2570C22semidirect
117. #2569C22semidirect
118. #2567C22semidirect
120. #2566C22semidirect
121. #2565C22semidirect
122. #2564C22semidirect
123. #2564C22semidirect
127. #2563C22semidirect
128. #2563C22semidirect
129. #2552C22semidirect
130. #2550C22semidirect
132. #2542C22semidirect
137. #2538C22semidirect
138. #2538C22semidirect
139. #2538C22semidirect
140. #2538C22semidirect
141. #2522C22semidirect
142. #2522C22semidirect
143. #2522C22semidirect
144. #2511C22semidirect
145. #2507C22semidirect
146. #2507C22semidirect
147. #2507C22semidirect
148. #2505C22semidirect
149. #2505C22semidirect
150. #2505C22semidirect
151. #2505C22semidirect
155. #2497C22semidirect
156. #2497C22semidirect
157. #2497C22semidirect
158. #2497C22semidirect
160. #2492C22semidirect
164. #2487C22semidirect
165. #2487C22semidirect
166. #2487C22semidirect
167. #2487C22semidirect
168. #2487C22semidirect
169. #2465C22semidirect
175. #2454C22semidirect
176. #2454C22semidirect
177. #2453C22semidirect
178. #2453C22semidirect
179. #2453C22semidirect
182. #2452C22semidirect
183. #2452C22semidirect
184. #2452C22semidirect
185. #2451C22semidirect
188. #2450C22semidirect
189. #2450C22semidirect
191. #2449C22semidirect
192. #2449C22semidirect
193. #2446C22semidirect
194. #2446C22semidirect
195. #2446C22semidirect
199. #2440C22semidirect
200. #2440C22semidirect
201. #2440C22semidirect
202. #2440C22semidirect
204. #2439C22semidirect
205. #2438C22semidirect
212. #2429C22semidirect
213. #2429C22semidirect
215. #2423C22semidirect
216. #2423C22semidirect
217. #2423C22semidirect
221. #2417C22semidirect
222. #2417C22semidirect
223. #2417C22semidirect
224. #2417C22semidirect
225. #2402C22semidirect
234. #2360C22semidirect
235. #2360C22semidirect
237. #2351C22semidirect
238. Q8×C4⋊C4C22semidirect
243. D4×C4⋊C4C22semidirect
244. D4×C4⋊C4C22semidirect
245. D4×C4⋊C4C22semidirect
246. D4×C4⋊C4C22semidirect
247. D4×C4⋊C4C22semidirect
248. D4×C4⋊C4C22semidirect
249. #2345C22semidirect
250. #2345C22semidirect
256. #2330C22semidirect
274. C4×C4⋊Q8C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
294. C2×#389C22semidirect
297. C42×Q8C22semidirect
306. #535Q8semidirect

Maximal subgroups

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

subgroupindex
#598642
#598562
#598232
#596552
#594292
#591992
#517872
#479592
#464352
#464312
#454982
#454932
#452332
#449512
#429532
#424862
#396722
#396642
#396342
#396312
#396302
#396172
#396052
#374292
#365592
#365552
#364562
#362752
#361542
#352842
#349162
#344382
C4×#5352