Finite Group Databasebeta

← #7631645

Subgroups — #7631645

Order 512.

5128 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36480C211yesmaximal, characteristic, complemented
2#36477C211yesmaximal, characteristic, complemented
3#36287C211yesmaximal, characteristic, complemented
4#36278C212yesmaximal, complemented
5#36261C211yesmaximal, characteristic, complemented
6#36194C211yesmaximal, characteristic, complemented
7#36190C212yesmaximal, complemented
8#36190C212yesmaximal, complemented
9#36189C212yesmaximal, complemented
10#36180C211yesmaximal, characteristic, complemented
11#36154C211yesmaximal, characteristic
12#36154C211yesmaximal, characteristic
13#36039C212yesmaximal, complemented
14#35963C212yesmaximal, complemented
15#35962C214yesmaximal, complemented
16#35961C212yesmaximal, complemented
17#35779C214yesmaximal, complemented
18#35776C212yesmaximal
19#35641C212yesmaximal, complemented
20#35612C212yesmaximal, complemented
21#35402C214yesmaximal, complemented
22#35399C214yesmaximal, complemented
23#35284C211yesmaximal, characteristic, complemented
24#35177C211yesmaximal, characteristic, complemented
25#35017C212yesmaximal, complemented
26#35014C212yesmaximal, complemented
27#34941C211yesmaximal, characteristic, complemented
28#34916C211yesmaximal, characteristic, complemented
29#34772C212yesmaximal, complemented
30C2×#2497C212yesmaximal, complemented
31#34333C212yesmaximal, complemented
32#34332C211yesmaximal, characteristic, complemented
33#34261C212yesmaximal
34C4×#554C211yesmaximal, characteristic, complemented
35C4×#518C211yesmaximal, characteristic
36C2×#554C2211yescharacteristic
37C2×#554C2212yes—
38C2×#554C2211yescharacteristic
39C2×#518C2211yescharacteristic
40C2×#518C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#2868C2211yescharacteristic, complemented
43#2863C2212yescomplemented
44#2859C2212yescomplemented
45#2859C2211yescharacteristic, complemented
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic
48#2857C2212yescomplemented
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2855C2212yescomplemented
53#2855C2212yescomplemented
54#2848C2212yes—
55#2848C2212yes—
56#2667C2214yescomplemented
57#2666C2214yescomplemented
58#2665C2214yescomplemented
59#2647C2212yescomplemented
60#2646C2214yescomplemented
61#2629C2212yes—
62#2626C2214yes—
63#2612C2214yescomplemented
64#2608C2214yescomplemented
65#2608C2214yescomplemented
66#2606C2214yescomplemented
67#2605C2214yescomplemented
68#2590C2214yescomplemented
69#2590C2212yescomplemented
70#2589C2214yes—
71#2589C2212yes—
72#2589C2214yescomplemented
73#2588C2212yescomplemented
74#2587C2212yes—
75#2587C2214yes—
76#2587C2214yescomplemented
77#2587C2214yescomplemented
78#2587C2214yescomplemented
79#2585C2214yescomplemented
80#2584C2212yescomplemented
81#2583C2214yescomplemented
82#2579C2214yes—
83#2574C2214yes—
84#2574C2214yes—
85#2574C2214yescomplemented
86#2571C2212yescomplemented
87#2570C2212yescomplemented
88#2570C2214yescomplemented
89#2569C2214yescomplemented
90#2569C2214yescomplemented
91#2569C2214yescomplemented
92#2567C2211yescharacteristic, complemented
93#2567C2211yescharacteristic, complemented
94#2566C2212yes—
95#2563C2211yescharacteristic
96#2563C2211yescharacteristic
97#2556C2214yes—
98#2556C2214yescomplemented
99#2552C2212yescomplemented
100#2552C2212yescomplemented
101#2552C2211yescharacteristic, complemented
102#2551C2211yescharacteristic, complemented
103#2550C2212yescomplemented
104#2549C2214yescomplemented
105#2538C2212yes—
106#2538C2211yescharacteristic
107#2538C2211yescharacteristic
108#2522C2214yes—
109#2522C2214yes—
110#2522C2214yescomplemented
111#2520C2214yescomplemented
112#2511C2214yescomplemented
113#2511C2211yescharacteristic, complemented
114#2509C2212yescomplemented
115#2509C2212yescomplemented
116#2508C2212yescomplemented
117#2507C2211yescharacteristic, complemented
118#2507C2212yescomplemented
119#2507C2212yescomplemented
120#2506C2212yescomplemented
121#2505C2214yescomplemented
122#2505C2214yescomplemented
123#2505C2214yescomplemented
124#2502C2212yescomplemented
125#2502C2212yescomplemented
126#2497C2214yes—
127#2497C2212yes—
128#2497C2212yes—
129#2497C2212yes—
130#2497C2211yescharacteristic
131#2497C2214yes—
132#2497C2212yes—
133#2497C2214yescomplemented
134#2497C2212yescomplemented
135#2497C2212yescomplemented
136#2497C2212yescomplemented
137#2497C2212yescomplemented
138#2497C2214yescomplemented
139#2497C2212yescomplemented
140#2492C2211yescharacteristic
141#2492C2212yes—
142#2492C2214yescomplemented
143#2492C2212yescomplemented
144#2487C2212yes—
145#2487C2212yes—
146#2473C2214yescomplemented
147#2465C2214yes—
148#2465C2214yescomplemented
149#2454C2212yes—
150#2454C2212yes—
151#2454C2212yes—
152#2452C2212yes—
153#2451C2211yescharacteristic, complemented
154#2450C2214yes—
155#2450C2214yes—
156#2450C2214yes—
157#2449C2214yes—
158#2446C2212yescomplemented
159#2446C2211yescharacteristic, complemented
160#2446C2212yescomplemented
161#2442C2212yes—
162#2442C2212yes—
163#2442C2214yescomplemented
164#2441C2212yes—
165#2441C2214yescomplemented
166#2440C2214yescomplemented
167#2440C2214yescomplemented
168#2440C2212yescomplemented
169#2440C2212yescomplemented
170#2439C2212yes—
171#2439C2214yescomplemented
172#2438C2214yescomplemented
173#2438C2214yescomplemented
174#2437C2214yes—
175#2437C2214yes—
176#2437C2214yes—
177#2437C2214yes—
178#2429C2212yes—
179#2429C2211yescharacteristic
180#2429C2212yes—
181#2429C2212yescomplemented
182#2423C2211yescharacteristic
183#2423C2212yes—
184#2423C2214yescomplemented
185#2423C2212yescomplemented
186#2417C2212yes—
187#2417C2212yes—
188#2417C2214yes—
189#2402C2212yescomplemented
190#2402C2214yescomplemented
191#2396C2212yes—
192#2396C2214yescomplemented
193#2396C2214yescomplemented
194C2×#400C2214yescomplemented
195C2×#396C2214yes—
196#2370C2212yescomplemented
197#2370C2212yescomplemented
198#2370C2212yescomplemented
199#2370C2212yescomplemented
200#2369C2211yescharacteristic, complemented
201#2369C2211yescharacteristic, complemented
202#2368C2214yescomplemented
203#2368C2214yescomplemented
204#2368C2214yescomplemented
205#2365C2212yescomplemented
206#2360C2212yescomplemented
207#2360C2214yescomplemented
208#2360C2214yescomplemented
209#2360C2212yescomplemented
210#2357C2212yes—
211#2355C2212yescomplemented
212#2355C2211yescharacteristic, complemented
213#2354C2212yes—
214#2353C2214yes—
215#2352C2214yes—
216Q8×C4⋊C4C2211yescharacteristic, complemented
217#2349C2212yes—
218#2349C2212yes—
219#2349C2212yes—
220#2349C2212yes—
221D4×C4⋊C4C2211yescharacteristic
222D4×C4⋊C4C2212yes—
223D4×C4⋊C4C2212yes—
224D4×C4⋊C4C2211yescharacteristic
225D4×C4⋊C4C2212yes—
226#2347C2212yes—
227#2346C2212yes—
228#2345C2212yescomplemented
229#2345C2214yescomplemented
230#2345C2212yescomplemented
231#2342C2214yes—
232#2342C2214yes—
233D4×C22⋊C4C2212yes—
234D4×C22⋊C4C2212yes—
235#2331C2212yescomplemented
236#2330C2212yescomplemented
237#2330C2212yescomplemented
238#2329C2214yescomplemented
239#2329C2214yescomplemented
240#2329C2214yescomplemented
241#2319C2212yes—
242#2318C2214yes—
243#2314C2212yes—
244#2312C2214yes—
245C4×C4⋊Q8C2211yescharacteristic, complemented
246C4×C4⋊Q8C2211yescharacteristic, complemented
247C4×C4⋊Q8C2212yescomplemented
248C4×C4⋊Q8C2211yescharacteristic, complemented
249C4×C4⋊Q8C2211yescharacteristic, complemented
250C4×#125C2212yescomplemented
251C4×#125C2212yescomplemented
252C4×C22⋊Q8C2211yescharacteristic
253C4×C22⋊Q8C2211yescharacteristic
254C4×C22⋊Q8C2212yescomplemented
255C4×C22⋊Q8C2214yescomplemented
256C4×C22⋊Q8C2214yescomplemented
257C4×C22⋊Q8C2212yescomplemented
258C4×C22⋊Q8C2212yescomplemented
259C4×C22⋊Q8C2212yescomplemented
260#2298C2212yes—
261#2295C2211yescharacteristic, complemented
262#2295C2212yescomplemented
263#2295C2212yescomplemented
264#2293C2212yes—
265C2×#389C2212yescomplemented
266C2×#389C2212yescomplemented
267#2290C2214yes—
268C2×#388C2214yes—
269C2×#387C2214yescomplemented
270#2285C2212yescomplemented
271#2285C2212yescomplemented
272C2×#384C2212yescomplemented
273C2×#380C2212yes—
274C2×#380C2212yes—
275#2275C2212yes—
276#2275C2211yescharacteristic
277#2275C2211yescharacteristic
278#2275C2212yes—
279#2275C2211yescharacteristic
280#2275C2212yes—
281#2275C2211yescharacteristic
282#2274C2211yescharacteristic
283#2274C2211yescharacteristic
284#2273C2212yes—
285#2273C2212yes—
286C42×Q8C2211yescharacteristic, complemented
287C42×D4C2211yescharacteristic
288C42×D4C2212yes—
289C42×D4C2211yescharacteristic
290C42×D4C2212yes—
291C42×D4C2211yescharacteristic
292C42×D4C2211yescharacteristic
293C42×D4C2212yes—
294C4×#117C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2212yescomplemented
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2212yes—
299C23×D4C2311yescharacteristic
300C24×C4C2312yes—
301#554—28no—
302#554—28no—
303#554—216no—
304C2×C4⋊Q8C2311yescharacteristic
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332#518—28no—
333#518Q8116yescomplemented
334C2×C4×Q8C2311yescharacteristic
335C2×C4×Q8C2311yescharacteristic
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2314yes—
342C2×C4×Q8C2312yes—
343C2×C4×D4—28no—
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2311yescharacteristic
368C2×#117C2314yes—
369C2×#117C2314yes—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C22×C4⋊C4C2314yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2314yes—
379C22×C4⋊C4C2314yes—
380C22×C4⋊C4C2314yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2314yes—
385C22×C22⋊C4C2314yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2312yes—
390C22×C42C2312yes—
391C22×C42C2312yes—
392C22×C42C2312yes—
393C22×C42C2314yes—
394#400C2312yes—
395#400C2312yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2312yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#399C2314yes—
413#399C2312yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2312yes—
434#398C2312yes—
435#398C2314yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2312yes—
461#393C2314yes—
462#393C2314yes—
463#393C2312yes—
464#393C2314yes—
465#393C2314yes—
466#391C2312yes—
467#391C2312yes—
468#391C2311yescharacteristic
469#391C2314yes—
470#391C2312yes—
471#391C2311yescharacteristic
472#391C2312yes—
473#391C2312yes—
474#391C2314yes—
475#391C2314yes—
476#391C2312yes—
477#391C2314yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2314yes—
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2311yescharacteristic
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#389C2312yes—
495#389C2312yes—
496#389C2312yes—
497#389C2312yes—
498#389C2311yescharacteristic
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2311yescharacteristic
505#389C2312yes—
506#389C2312yes—
507#389C2312yes—
508#389C2314yes—
509#389C2311yescharacteristic
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2314yes—
514#389C2312yes—
515#389C2314yes—
516#389C2314yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2314yes—
532#389C2312yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2311yescharacteristic
549#389C2314yes—
550#389C2312yes—
551#389C2311yescharacteristic
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#387C2314yes—
571#387C2314yes—
572#387C2314yes—
573#387C2314yes—
574#387C2312yes—
575#387C2314yes—
576#387C2314yes—
577#387C2314yes—
578#387C2314yes—
579#387C2314yes—
580#387C2314yes—
581#387C2314yes—
582#387C2314yes—
583#387C2314yes—
584#387C2314yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2312yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2312yes—
603#387C2314yes—
604#387C2312yes—
605#387C2314yes—
606#387C2312yes—
607#387C2312yes—
608#387C2312yes—
609#387C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#386C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#385C2314yes—
620#385C2314yes—
621#385C2314yes—
622#385C2314yes—
623#385C2314yes—
624#385C2314yes—
625#385C2314yes—
626#385C2314yes—
627#385C2314yes—
628#385C2314yes—
629#385C2314yes—
630#385C2314yes—
631#385C2314yes—
632#385C2314yes—
633#385C2314yes—
634#385C2314yes—
635#385C2314yes—
636#385C2314yes—
637#385C2314yes—
638#385C2312yes—
639#385C2312yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#384C2312yes—
646#384C2311yescharacteristic
647#384C2311yescharacteristic
648#384C2311yescharacteristic
649#384C2311yescharacteristic
650#384C2312yes—
651#384C2312yes—
652#384C2312yes—
653#384C2314yes—
654#384C2312yes—
655#384C2312yes—
656#384C2312yes—
657#384C2312yes—
658#384C2314yes—
659#383C2314yes—
660#382C2312yes—
661#382C2312yes—
662#382C2312yes—
663#382C2312yes—
664#382C2314yes—
665#382C2314yes—
666#382C2314yes—
667#381C2314yes—
668#381C2314yes—
669#380C2312yes—
670#380C2312yes—
671#380C2312yes—
672#380C2312yes—
673#380C2314yes—
674#380C2314yes—
675#380C2314yes—
676#380C2314yes—
677#380C2314yes—
678#380C2314yes—
679#380C2314yes—
680#380C2314yes—
681#380C2314yes—
682#380C2314yes—
683#380C2312yes—
684#380C2312yes—
685#380C2314yes—
686#380C2314yes—
687#380C2314yes—
688#380C2314yes—
689#380C2312yes—
690#380C2312yes—
691#380C2312yes—
692#380C2312yes—
693#380C2312yes—
694#380C2314yes—
695#380C2311yescharacteristic
696#380C2312yes—
697#380C2311yescharacteristic
698#379C2314yes—
699#379C2314yes—
700C4×C4⋊C4C2311yescharacteristic
701C4×C4⋊C4C2311yescharacteristic
702C4×C4⋊C4C2312yes—
703C4×C4⋊C4C2312yes—
704C4×C4⋊C4C2314yes—
705C4×C4⋊C4C2314yes—
706C4×C4⋊C4C2314yes—
707C4×C4⋊C4C2314yes—
708C4×C4⋊C4C2311yescharacteristic
709C4×C4⋊C4C2311yescharacteristic
710C4×C4⋊C4C2312yes—
711C4×C4⋊C4C2314yes—
712C4×C4⋊C4C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2311yescharacteristic
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2314yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2311yescharacteristic
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2311yescharacteristic
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2312yes—
757C4×C22⋊C4C2314yes—
758C4×C22⋊C4C2314yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2311yescharacteristic
766C4×C22⋊C4C2312yes—
767C4×C22⋊C4C2312yes—
768C4×C22⋊C4C2312yes—
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2311yescharacteristic
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798#376C2312yes—
799#376C2311yescharacteristic
800#376C2314yes—
801#376C2312yes—
802#376C2311yescharacteristic
803C2×#95C2312yes—
804C2×#95C2312yes—
805C2×#95C2314yes—
806C2×#95C2314yes—
807C2×#95C2312yes—
808C2×#95C2314yes—
809C2×#95C2314yes—
810C2×#95C2314yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C25C2412yes—
817C22×Q8C2411yescharacteristic
818C22×Q8C2411yescharacteristic
819C22×Q8C2412yes—
820C22×Q8C2412yes—
821C22×Q8C2412yes—
822C22×Q8C2414yes—
823C22×D4—24no—
824C22×D4—24no—
825C22×D4C2×Q818yes—
826C22×D4C2412yes—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C23×C4—28no—
830C23×C4—44no—
831C23×C4—44no—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2411yescharacteristic
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2414yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—42no—
856C4⋊Q8—44no—
857C4⋊Q8—42no—
858C4⋊Q8—82no—
859C4⋊Q8—82no—
860#125—28no—
861#125—28no—
862#125—28no—
863#125—28no—
864#125—84no—
865C22⋊Q8—216no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—216no—
869C22⋊Q8—216no—
870C22⋊Q8—216no—
871C22⋊Q8—216no—
872C22⋊Q8—44no—
873C22⋊Q8—44no—
874C22⋊Q8—42no—
875C22⋊Q8—42no—
876C22⋊Q8—82no—
877C22⋊Q8—82no—
878C22⋊Q8—84no—
879C22⋊Q8—84no—
880C4×Q8—24no—
881C4×Q8—24no—
882C4×Q8—28no—
883C4×Q8—42no—
884C4×Q8—44no—
885C4×Q8—42no—
886C4×Q8—82no—
887C4×Q8—84no—
888C4×Q8—82no—
889C4×D4—24no—
890C4×D4—24no—
891C4×D4—28no—
892C4×D4—28no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4C2×Q8116yes—
904C4×D4C2×Q818yes—
905C4×D4C2×Q8116yes—
906C4×D4C2×Q818yes—
907C4×D4C2×Q818yes—
908C4×D4C2×Q818yes—
909C4×D4#4118yes—
910C4×D4#4118yes—
911#117—24no—
912#117—24no—
913#117—84no—
914#117—84no—
915#117C2×Q818yes—
916#117C2×Q818yes—
917C2×C4⋊C4—28no—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—216no—
920C2×C4⋊C4—24no—
921C2×C4⋊C4—44no—
922C2×C4⋊C4—44no—
923C2×C4⋊C4—84no—
924C2×C4⋊C4—84no—
925C2×C4⋊C4—84no—
926C2×C4⋊C4C2411yescharacteristic
927C2×C4⋊C4C2411yescharacteristic
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2411yescharacteristic
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2414yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2414yes—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2414yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C22⋊C4—28no—
1004C2×C22⋊C4—28no—
1005C2×C22⋊C4—28no—
1006C2×C22⋊C4—84no—
1007C2×C22⋊C4—84no—
1008C2×C22⋊C4C2×Q8116yes—
1009C2×C22⋊C4C2×Q8116yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2411yescharacteristic
1012C2×C22⋊C4C2411yescharacteristic
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C42—24no—
1047C2×C42—44no—
1048C2×C42—44no—
1049C2×C42—44no—
1050C2×C42—44no—
1051C2×C42—84no—
1052C2×C42C2411yescharacteristic
1053C2×C42C2412yes—
1054C2×C42C2411yescharacteristic
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2412yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2414yes—
1069C2×C42C2414yes—
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2411yescharacteristic
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2411yescharacteristic
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
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#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172C24—24no—
1173C24—24no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24C22×Q818yes—
1179C24C2511yescharacteristic
1180C24C2512yes—
1181C24C2512yes—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—28no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—22no—
1192C2×Q8—44no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—44no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—232no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4C22×Q818yes—
1206C2×D4C22×Q814yes—
1207C2×D4C22×Q814yes—
1208C2×D4C2×#4114yes—
1209C2×D4C2×#4114yes—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—24no—
1213C22×C4—24no—
1214C22×C4—24no—
1215C22×C4—28no—
1216C22×C4—28no—
1217C22×C4—28no—
1218C22×C4—28no—
1219C22×C4—24no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—42no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—42no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—42no—
1244C22×C4—44no—
1245C22×C4—44no—
1246C22×C4—44no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—44no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—42no—
1263C22×C4—816no—
1264C22×C4C22×Q814yes—
1265C22×C4C22×Q818yes—
1266C22×C4C22×Q818yes—
1267C22×C4C22×Q818yes—
1268C22×C4C22×Q818yes—
1269C22×C4C2×#4118yes—
1270C22×C4C2×#4118yes—
1271C22×C4C2511yescharacteristic
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2514yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2514yes—
1285C22×C4C2514yes—
1286C22×C4C2514yes—
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—22no—
1308C4⋊C4—28no—
1309C4⋊C4—28no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—28no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
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—44no—
1374C4⋊C4C22×Q814yes—
1375C4⋊C4C22×Q814yes—
1376C4⋊C4C22×Q814yes—
1377C4⋊C4C22×Q814yes—
1378C4⋊C4C2×#4114yes—
1379C4⋊C4C2×#4114yes—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—24no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—42no—
1406C22⋊C4—44no—
1407C22⋊C4C22×Q814yes—
1408C22⋊C4C22×Q818yes—
1409C22⋊C4C22×Q814yes—
1410C22⋊C4C22×Q818yes—
1411C22⋊C4C22×Q818yes—
1412C22⋊C4C22×Q818yes—
1413C22⋊C4C22×Q818yes—
1414C22⋊C4C2×#4118yes—
1415C22⋊C4C2×#4118yes—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—24no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—24no—
1428C42—22no—
1429C42—24no—
1430C42—22no—
1431C42—42no—
1432C42—42no—
1433C42—42no—
1434C42—42no—
1435C42—42no—
1436C42—42no—
1437C42—42no—
1438C42—42no—
1439C42—42no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—42no—
1448C42—42no—
1449C42—41no—
1450C42—41no—
1451C42—42no—
1452C42—42no—
1453C42—41no—
1454C42—41no—
1455C42C22×Q818yes—
1456C42C22×Q814yes—
1457C42C22×Q814yes—
1458C42C2×#4114yes—
1459C42C2×#4114yes—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—22no—
1467C23—21no—
1468C23—22no—
1469C23—22no—
1470C23—21no—
1471C23—21no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—21no—
1476C23—216no—
1477C23—48no—
1478C23—48no—
1479C23—84no—
1480C23—84no—
1481C23—84no—
1482C23—84no—
1483C23C23×Q812yes—
1484C23C23×Q814yes—
1485C23C23×Q814yes—
1486C23C22×#4114yes—
1487C23C22×#4114yes—
1488C23C2611yescharacteristic
1489Q8—44no—
1490Q8—44no—
1491Q8—88no—
1492Q8—84no—
1493Q8—84no—
1494Q8—84no—
1495D4—216no—
1496D4—28no—
1497D4#533116yes—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—22no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—28no—
1523C2×C4—216no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—48no—
1579C2×C4—48no—
1580C2×C4—48no—
1581C2×C4—48no—
1582C2×C4—48no—
1583C2×C4—48no—
1584C2×C4—44no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—82no—
1588C2×C4—84no—
1589C2×C4—84no—
1590C2×C4—88no—
1591C2×C4—88no—
1592C2×C4—84no—
1593C2×C4—88no—
1594C2×C4—88no—
1595C2×C4—84no—
1596C2×C4C23×Q812yes—
1597C2×C4C23×Q814yes—
1598C2×C4C23×Q812yes—
1599C2×C4C23×Q812yes—
1600C2×C4C23×Q814yes—
1601C2×C4C23×Q812yes—
1602C2×C4C23×Q812yes—
1603C2×C4C23×Q812yes—
1604C2×C4C22×#4112yes—
1605C2×C4C22×#4114yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4114yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C22×#4112yes—
1612C2×C4#58512yes—
1613C2×C4#58512yes—
1614C22—24no—
1615C22—24no—
1616C22—24no—
1617C22—24no—
1618C22—24no—
1619C22—24no—
1620C22—24no—
1621C22—24no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—24no—
1626C22—42no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—41no—
1631C22—42no—
1632C22—41no—
1633C22—42no—
1634C22—816no—
1635C22C2×#53318yes—
1636C22C24×Q811yescharacteristic
1637C22C23×#4111yescharacteristic
1638C22C23×#4111yescharacteristic
1639C22C2×#58511yescharacteristic
1640C22C2×#58511yescharacteristic
1641C22H(7,𝔽2)11yescharacteristic
1642C22H(7,𝔽2)11yescharacteristic
1643C4—22no—
1644C4—22no—
1645C4—24no—
1646C4—24no—
1647C4—22no—
1648C4—22no—
1649C4—22no—
1650C4—24no—
1651C4—22no—
1652C4—24no—
1653C4—22no—
1654C4—22no—
1655C4—41no—
1656C4—42no—
1657C4—44no—
1658C4—42no—
1659C4—44no—
1660C4—42no—
1661C4—41no—
1662C4—42no—
1663C4—42no—
1664C4—42no—
1665C4—41no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—42no—
1670C4—42no—
1671C4—44no—
1672C4—44no—
1673C4C2×#53314yes—
1674C4#352114yes—
1675C2—28no—
1676C2—44no—
1677C2—42no—
1678C2C22×#53311yescharacteristic
1679C2C2×#352111yescharacteristic
1680C2#6285811yescharacteristic
1681C2#6298911yescharacteristic
1682C2#6298911yescharacteristic
1683C2#6299211yescharacteristic
1684C2#6299411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36480C2semidirect
2. #36477C2semidirect
3. #36287C2semidirect
4. #36278C2semidirect
5. #36261C2semidirect
6. #36194C2semidirect
7. #36190C2semidirect
8. #36190C2semidirect
9. #36189C2semidirect
10. #36180C2semidirect
13. #36039C2semidirect
14. #35963C2semidirect
15. #35962C2semidirect
16. #35961C2semidirect
17. #35779C2semidirect
19. #35641C2semidirect
20. #35612C2semidirect
21. #35402C2semidirect
22. #35399C2semidirect
23. #35284C2semidirect
24. #35177C2semidirect
25. #35017C2semidirect
26. #35014C2semidirect
27. #34941C2semidirect
28. #34916C2semidirect
29. #34772C2semidirect
30. C2×#2497C2semidirect
31. #34333C2semidirect
32. #34332C2semidirect
34. C4×#554C2semidirect
42. #2868C22semidirect
43. #2863C22semidirect
44. #2859C22semidirect
45. #2859C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2855C22semidirect
53. #2855C22semidirect
56. #2667C22semidirect
57. #2666C22semidirect
58. #2665C22semidirect
59. #2647C22semidirect
60. #2646C22semidirect
63. #2612C22semidirect
64. #2608C22semidirect
65. #2608C22semidirect
66. #2606C22semidirect
67. #2605C22semidirect
68. #2590C22semidirect
69. #2590C22semidirect
72. #2589C22semidirect
73. #2588C22semidirect
76. #2587C22semidirect
77. #2587C22semidirect
78. #2587C22semidirect
79. #2585C22semidirect
80. #2584C22semidirect
81. #2583C22semidirect
85. #2574C22semidirect
86. #2571C22semidirect
87. #2570C22semidirect
88. #2570C22semidirect
89. #2569C22semidirect
90. #2569C22semidirect
91. #2569C22semidirect
92. #2567C22semidirect
93. #2567C22semidirect
98. #2556C22semidirect
99. #2552C22semidirect
100. #2552C22semidirect
101. #2552C22semidirect
102. #2551C22semidirect
103. #2550C22semidirect
104. #2549C22semidirect
110. #2522C22semidirect
111. #2520C22semidirect
112. #2511C22semidirect
113. #2511C22semidirect
114. #2509C22semidirect
115. #2509C22semidirect
116. #2508C22semidirect
117. #2507C22semidirect
118. #2507C22semidirect
119. #2507C22semidirect
120. #2506C22semidirect
121. #2505C22semidirect
122. #2505C22semidirect
123. #2505C22semidirect
124. #2502C22semidirect
125. #2502C22semidirect
133. #2497C22semidirect
134. #2497C22semidirect
135. #2497C22semidirect
136. #2497C22semidirect
137. #2497C22semidirect
138. #2497C22semidirect
139. #2497C22semidirect
142. #2492C22semidirect
143. #2492C22semidirect
146. #2473C22semidirect
148. #2465C22semidirect
153. #2451C22semidirect
158. #2446C22semidirect
159. #2446C22semidirect
160. #2446C22semidirect
163. #2442C22semidirect
165. #2441C22semidirect
166. #2440C22semidirect
167. #2440C22semidirect
168. #2440C22semidirect
169. #2440C22semidirect
171. #2439C22semidirect
172. #2438C22semidirect
173. #2438C22semidirect
181. #2429C22semidirect
184. #2423C22semidirect
185. #2423C22semidirect
189. #2402C22semidirect
190. #2402C22semidirect
192. #2396C22semidirect
193. #2396C22semidirect
194. C2×#400C22semidirect
196. #2370C22semidirect
197. #2370C22semidirect
198. #2370C22semidirect
199. #2370C22semidirect
200. #2369C22semidirect
201. #2369C22semidirect
202. #2368C22semidirect
203. #2368C22semidirect
204. #2368C22semidirect
205. #2365C22semidirect
206. #2360C22semidirect
207. #2360C22semidirect
208. #2360C22semidirect
209. #2360C22semidirect
211. #2355C22semidirect
212. #2355C22semidirect
216. Q8×C4⋊C4C22semidirect
228. #2345C22semidirect
229. #2345C22semidirect
230. #2345C22semidirect
235. #2331C22semidirect
236. #2330C22semidirect
237. #2330C22semidirect
238. #2329C22semidirect
239. #2329C22semidirect
240. #2329C22semidirect
245. C4×C4⋊Q8C22semidirect
246. C4×C4⋊Q8C22semidirect
247. C4×C4⋊Q8C22semidirect
248. C4×C4⋊Q8C22semidirect
249. C4×C4⋊Q8C22semidirect
250. C4×#125C22semidirect
251. C4×#125C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×C22⋊Q8C22semidirect
256. C4×C22⋊Q8C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×C22⋊Q8C22semidirect
259. C4×C22⋊Q8C22semidirect
261. #2295C22semidirect
262. #2295C22semidirect
263. #2295C22semidirect
265. C2×#389C22semidirect
266. C2×#389C22semidirect
269. C2×#387C22semidirect
270. #2285C22semidirect
271. #2285C22semidirect
272. C2×#384C22semidirect
286. C42×Q8C22semidirect
296. C2×C4×C4⋊C4C22semidirect
333. #518Q8semidirect

Maximal subgroups

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

subgroupindex
#364802
#364772
#362872
#362782
#362612
#361942
#361902
#361892
#361802
#361542
#360392
#359632
#359622
#359612
#357792
#357762
#356412
#356122
#354022
#353992
#352842
#351772
#350172
#350142
#349412
#349162
#347722
C2×#24972
#343332
#343322
#342612
C4×#5542
C4×#5182