Finite Group Databasebeta

← #7712483

Subgroups — #7712483

Order 512.

4868 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59582C212yesmaximal, complemented
2#59485C212yesmaximal, complemented
3#59282C212yesmaximal, complemented
4#59281C212yesmaximal, complemented
5#46075C212yesmaximal, complemented
6#46072C212yesmaximal, complemented
7#45714C212yesmaximal, complemented
8#45687C212yesmaximal, complemented
9#40104C212yesmaximal, complemented
10#40080C212yesmaximal, complemented
11#40008C212yesmaximal, complemented
12#39984C212yesmaximal, complemented
13#39238C212yesmaximal, complemented
14#39224C212yesmaximal, complemented
15#39071C212yesmaximal, complemented
16#39068C212yesmaximal, complemented
17#39010C212yesmaximal, complemented
18#38998C212yesmaximal, complemented
19#38937C212yesmaximal, complemented
20#38903C212yesmaximal, complemented
21#37581C212yesmaximal, complemented
22#37414C212yesmaximal, complemented
23#37406C212yesmaximal, complemented
24#36639C211yesmaximal, characteristic, complemented
25#36635C211yesmaximal, characteristic, complemented
26#36609C211yesmaximal, characteristic, complemented
27#36608C211yesmaximal, characteristic, complemented
28#36150C211yesmaximal, characteristic, complemented
29#36149C211yesmaximal, characteristic, complemented
30#36129C211yesmaximal, characteristic, complemented
31#36129C211yesmaximal, characteristic, complemented
32#36129C211yesmaximal, characteristic, complemented
33#36122C211yesmaximal, characteristic, complemented
34#35320C211yesmaximal, characteristic, complemented
35#35291C211yesmaximal, characteristic, complemented
36#35289C211yesmaximal, characteristic, complemented
37#35288C211yesmaximal, characteristic, complemented
38#34496C212yesmaximal, complemented
39C4×#529C211yesmaximal, characteristic, complemented
40C2×#548C2212yes—
41C2×#533C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C22×C4⋊Q8C2211yescharacteristic
46C22×C4⋊Q8C2211yescharacteristic
47C2×#529C2211yescharacteristic
48#2864C2212yes—
49#2863C2212yes—
50#2863C2212yes—
51#2862C2211yescharacteristic
52#2862C2211yescharacteristic
53#2862C2211yescharacteristic
54#2862C2211yescharacteristic
55#2862C2211yescharacteristic
56#2862C2211yescharacteristic
57#2861C2212yes—
58#2861C2212yes—
59#2859C2211yescharacteristic
60#2858C2211yescharacteristic
61#2858C2211yescharacteristic
62#2858C2211yescharacteristic
63#2857C2211yescharacteristic
64#2857C2211yescharacteristic
65#2857C2211yescharacteristic
66#2857C2211yescharacteristic
67#2857C2211yescharacteristic
68#2856C2211yescharacteristic
69#2855C2212yes—
70#2855C2212yes—
71#2851C2212yes—
72#2850C2212yes—
73#2850C2212yes—
74#2850C2212yes—
75#2850C2212yes—
76#2838C2214yes—
77#2831C2214yes—
78#2804C2214yes—
79#2787C2214yes—
80#2784C2214yes—
81#2781C2214yes—
82#2780C2214yes—
83#2779C2214yes—
84#2778C2214yes—
85#2775C2214yes—
86#2770C2214yes—
87#2760C2214yes—
88#2759C2214yes—
89#2759C2214yes—
90#2754C2214yes—
91#2751C2214yes—
92#2751C2214yes—
93#2750C2214yes—
94#2750C2214yes—
95#2750C2214yes—
96#2749C2214yes—
97#2749C2214yes—
98#2746C2214yes—
99#2745C2214yes—
100#2744C2214yes—
101#2741C2214yes—
102#2740C2214yes—
103#2739C2214yes—
104#2738C2214yes—
105#2737C2214yes—
106#2692C2214yes—
107#2690C2214yes—
108#2688C2214yes—
109#2686C2214yes—
110#2665C2214yes—
111#2654C2214yes—
112#2652C2214yes—
113#2650C2214yes—
114#2645C2212yes—
115#2644C2212yes—
116#2642C2212yes—
117#2642C2212yes—
118#2640C2212yes—
119#2640C2212yes—
120#2625C2212yes—
121#2624C2212yes—
122#2607C2214yes—
123#2592C2212yes—
124#2592C2212yes—
125#2581C2212yes—
126#2581C2212yes—
127#2581C2212yes—
128#2580C2212yes—
129#2578C2214yes—
130#2578C2214yes—
131#2576C2214yes—
132#2572C2214yes—
133#2572C2214yes—
134#2569C2214yes—
135#2568C2212yes—
136#2568C2212yes—
137#2568C2212yes—
138#2568C2212yes—
139#2563C2212yes—
140#2563C2212yes—
141#2557C2214yes—
142#2550C2212yes—
143#2550C2212yes—
144#2550C2212yes—
145#2547C2212yes—
146#2547C2212yes—
147#2545C2212yes—
148#2540C2212yes—
149#2535C2212yes—
150#2532C2214yes—
151#2530C2214yes—
152#2527C2214yes—
153#2526C2214yes—
154#2523C2214yes—
155#2521C2214yes—
156#2514C2212yes—
157#2514C2212yes—
158#2514C2212yes—
159#2514C2212yes—
160#2514C2212yes—
161#2514C2212yes—
162#2514C2212yes—
163#2513C2212yes—
164#2513C2212yes—
165#2513C2212yes—
166#2509C2212yes—
167#2508C2212yes—
168#2504C2212yes—
169#2504C2212yes—
170#2503C2212yes—
171#2503C2212yes—
172#2503C2212yes—
173#2503C2212yes—
174#2495C2214yes—
175#2495C2212yes—
176#2494C2212yes—
177#2493C2214yes—
178#2492C2212yes—
179#2492C2212yes—
180#2492C2212yes—
181#2491C2212yes—
182#2491C2212yes—
183#2490C2212yes—
184#2490C2212yes—
185#2489C2212yes—
186#2468C2214yes—
187#2457C2214yes—
188#2454C2212yes—
189#2454C2212yes—
190#2453C2212yes—
191#2452C2212yes—
192#2452C2212yes—
193#2451C2212yes—
194#2451C2212yes—
195#2451C2212yes—
196#2448C2212yes—
197#2448C2212yes—
198#2448C2212yes—
199#2448C2212yes—
200#2447C2212yes—
201#2447C2212yes—
202#2447C2212yes—
203#2447C2212yes—
204#2447C2212yes—
205#2446C2212yes—
206#2446C2212yes—
207#2446C2212yes—
208#2442C2212yes—
209#2442C2212yes—
210#2442C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2439C2212yes—
214#2436C2212yes—
215#2436C2212yes—
216#2436C2212yes—
217#2432C2212yes—
218#2429C2212yes—
219#2429C2212yes—
220#2429C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2427C2212yes—
224#2427C2212yes—
225#2426C2212yes—
226#2426C2212yes—
227#2426C2212yes—
228#2421C2212yes—
229#2420C2212yes—
230#2420C2212yes—
231#2420C2212yes—
232#2417C2212yes—
233#2417C2212yes—
234#2417C2212yes—
235#2416C2212yes—
236#2416C2212yes—
237#2414C2212yes—
238#2409C2212yes—
239#2409C2212yes—
240#2409C2212yes—
241#2407C2212yes—
242#2407C2212yes—
243#2407C2212yes—
244#2378C2214yes—
245#2377C2214yes—
246#2372C2214yes—
247#2367C2212yes—
248#2367C2212yes—
249#2367C2212yes—
250#2363C2212yes—
251#2361C2212yes—
252#2361C2212yes—
253#2360C2212yes—
254#2360C2212yes—
255#2360C2212yes—
256#2357C2212yes—
257#2356C2212yes—
258#2356C2212yes—
259#2356C2212yes—
260#2353C2214yes—
261#2352C2212yes—
262#2352C2212yes—
263#2352C2212yes—
264#2349C2212yes—
265#2341C2212yes—
266Q8×C22⋊C4C2212yes—
267Q8×C22⋊C4C2212yes—
268Q8×C22⋊C4C2212yes—
269#2339C2212yes—
270#2339C2212yes—
271#2337C2214yes—
272#2333C2214yes—
273#2329C2214yes—
274#2324C2212yes—
275#2323C2212yes—
276#2320C2212yes—
277#2319C2212yes—
278#2319C2214yes—
279#2311C2212yes—
280#2311C2212yes—
281#2310C2212yes—
282#2310C2212yes—
283C4×C4⋊Q8C2211yescharacteristic
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×C4⋊Q8C2211yescharacteristic
287C4×C4⋊Q8C2211yescharacteristic
288C4×#127C2211yescharacteristic
289C4×#125C2212yes—
290C4×#125C2211yescharacteristic
291C4×#125C2211yescharacteristic
292C4×#126C2211yescharacteristic
293C4×#126C2211yescharacteristic
294C4×#126C2211yescharacteristic
295C4×#126C2211yescharacteristic
296C4×#124C2212yes—
297C4×#124C2212yes—
298C4×#124C2212yes—
299C4×#124C2212yes—
300C4×#124C2211yescharacteristic
301C4×#124C2211yescharacteristic
302C4×C22⋊Q8C2212yes—
303C4×C22⋊Q8C2212yes—
304C4×C22⋊Q8C2211yescharacteristic
305C4×C22⋊Q8C2211yescharacteristic
306C4×#123C2211yescharacteristic
307C4×#123C2211yescharacteristic
308C4×#123C2211yescharacteristic
309C4×#123C2211yescharacteristic
310C4×#121C2211yescharacteristic
311C4×#121C2211yescharacteristic
312#2298C2211yescharacteristic
313#2298C2211yescharacteristic
314#2297C2212yes—
315#2297C2212yes—
316#2295C2212yes—
317#2295C2212yes—
318#2295C2211yescharacteristic
319#2293C2211yescharacteristic
320#2290C2211yescharacteristic
321#2290C2211yescharacteristic
322#2283C2211yescharacteristic
323#2283C2212yes—
324C42×Q8C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C4×#117C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C2×C43C2211yescharacteristic
331C22×#41C2312yes—
332C22×#41C2312yes—
333C23×Q8C2312yes—
334C23×Q8C2312yes—
335#548—216no—
336#533—44no—
337#533—44no—
338#532—44no—
339#532—44no—
340C2×C4⋊Q8—44no—
341C2×C4⋊Q8—44no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2312yes—
353C2×#127C2311yescharacteristic
354#529—28no—
355C2×#126C2311yescharacteristic
356C2×#126C2311yescharacteristic
357C2×#125C2311yescharacteristic
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#124C2312yes—
362C2×#124C2314yes—
363C2×#124C2311yescharacteristic
364C2×#124C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#123C2311yescharacteristic
372C2×#123C2311yescharacteristic
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2311yescharacteristic
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2311yescharacteristic
427C2×#117C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2312yes—
431C22×C4⋊C4C2312yes—
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441#401C2314yes—
442#401C2314yes—
443#401C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#395C2314yes—
498#395C2314yes—
499#395C2314yes—
500#395C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#393C2314yes—
510#393C2314yes—
511#393C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#392C2314yes—
520#392C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2312yes—
527#391C2312yes—
528#391C2314yes—
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2314yes—
549#391C2314yes—
550#391C2311yescharacteristic
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2314yes—
556#391C2314yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2314yes—
563#391C2314yes—
564#391C2312yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2312yes—
580#390C2314yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2314yes—
588#390C2312yes—
589#390C2312yes—
590#390C2311yescharacteristic
591#389C2311yescharacteristic
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2312yes—
610#389C2314yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#388C2311yescharacteristic
624#388C2311yescharacteristic
625#388C2311yescharacteristic
626#388C2311yescharacteristic
627#388C2311yescharacteristic
628#388C2311yescharacteristic
629#388C2311yescharacteristic
630#388C2311yescharacteristic
631#388C2311yescharacteristic
632#388C2311yescharacteristic
633#388C2311yescharacteristic
634#388C2311yescharacteristic
635#388C2311yescharacteristic
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2311yescharacteristic
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2311yescharacteristic
665#388C2311yescharacteristic
666#387C2311yescharacteristic
667#387C2311yescharacteristic
668#387C2311yescharacteristic
669#387C2311yescharacteristic
670#387C2311yescharacteristic
671#387C2311yescharacteristic
672#387C2311yescharacteristic
673#387C2311yescharacteristic
674#387C2311yescharacteristic
675#387C2311yescharacteristic
676#387C2311yescharacteristic
677#387C2311yescharacteristic
678#387C2314yes—
679#387C2314yes—
680#387C2311yescharacteristic
681#387C2311yescharacteristic
682#387C2311yescharacteristic
683#387C2311yescharacteristic
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2311yescharacteristic
725#386C2311yescharacteristic
726#386C2311yescharacteristic
727#386C2311yescharacteristic
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2311yescharacteristic
742#385C2311yescharacteristic
743#385C2311yescharacteristic
744#385C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#383C2311yescharacteristic
748#383C2311yescharacteristic
749#383C2314yes—
750#383C2314yes—
751#383C2314yes—
752#383C2314yes—
753#383C2314yes—
754#382C2312yes—
755#382C2311yescharacteristic
756#382C2311yescharacteristic
757#382C2312yes—
758#382C2312yes—
759#382C2312yes—
760#382C2312yes—
761#382C2312yes—
762#382C2312yes—
763#382C2312yes—
764#382C2312yes—
765#382C2312yes—
766#382C2314yes—
767#382C2312yes—
768#382C2312yes—
769#382C2312yes—
770#381C2314yes—
771#381C2314yes—
772#381C2314yes—
773#381C2314yes—
774#381C2311yescharacteristic
775#381C2314yes—
776#381C2314yes—
777#381C2314yes—
778#381C2314yes—
779#381C2314yes—
780#381C2311yescharacteristic
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2314yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2314yes—
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2311yescharacteristic
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2311yescharacteristic
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2314yes—
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2314yes—
856C4×C22⋊C4C2314yes—
857C4×C22⋊C4C2314yes—
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2314yes—
860C4×C22⋊C4C2314yes—
861C4×C22⋊C4C2314yes—
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2314yes—
867C4×C22⋊C4C2311yescharacteristic
868C4×C22⋊C4C2311yescharacteristic
869C4×C22⋊C4C2311yescharacteristic
870C4×C22⋊C4C2311yescharacteristic
871C4×C22⋊C4C2311yescharacteristic
872C4×C22⋊C4C2311yescharacteristic
873C4×C22⋊C4C2311yescharacteristic
874C4×C22⋊C4C2311yescharacteristic
875C4×C22⋊C4C2311yescharacteristic
876C4×C22⋊C4C2311yescharacteristic
877#376C2311yescharacteristic
878#376C2314yes—
879#376C2311yescharacteristic
880#376C2314yes—
881#376C2311yescharacteristic
882#376C2311yescharacteristic
883C2×#95C2314yes—
884C43C2311yescharacteristic
885C43C2311yescharacteristic
886C43C2311yescharacteristic
887C43C2311yescharacteristic
888C43C2311yescharacteristic
889C43C2311yescharacteristic
890C43C2311yescharacteristic
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2311yescharacteristic
894C2×#41—28no—
895C2×#41—28no—
896C2×#41—44no—
897C2×#41—44no—
898C2×#41—44no—
899C2×#41—44no—
900C22×Q8—28no—
901C22×Q8—44no—
902C22×Q8—44no—
903C22×Q8—44no—
904C22×Q8—44no—
905C22×Q8—44no—
906C22×Q8C2412yes—
907C22×Q8C2412yes—
908C22×Q8C2412yes—
909C22×Q8C2412yes—
910C22×Q8C2412yes—
911C22×Q8C2411yescharacteristic
912C22×Q8C2414yes—
913C22×Q8C2414yes—
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2411yescharacteristic
918C22×D4C2411yescharacteristic
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C22×D4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2414yes—
939C23×C4C2414yes—
940C23×C4C2411yescharacteristic
941C4⋊Q8—24no—
942C4⋊Q8—24no—
943C4⋊Q8—24no—
944C4⋊Q8—24no—
945C4⋊Q8—24no—
946C4⋊Q8—44no—
947C4⋊Q8—44no—
948C4⋊Q8—44no—
949C4⋊Q8—44no—
950C4⋊Q8—44no—
951C4⋊Q8—44no—
952#127—24no—
953#126—24no—
954#126—24no—
955#125—24no—
956#125—44no—
957#125—44no—
958#125—44no—
959#124—24no—
960#124—216no—
961#124—28no—
962#124—44no—
963#124—44no—
964#124—44no—
965#124—44no—
966#124—44no—
967#124—44no—
968#124—44no—
969#123—24no—
970#123—24no—
971C22⋊Q8—28no—
972C22⋊Q8—24no—
973C22⋊Q8—216no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977C22⋊Q8—44no—
978C22⋊Q8—44no—
979C22⋊Q8—44no—
980C22⋊Q8—44no—
981C22⋊Q8—44no—
982#121—24no—
983#121—216no—
984#121—28no—
985#121—44no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—44no—
991C4×Q8—24no—
992C4×Q8—28no—
993C4×Q8—42no—
994C4×Q8—42no—
995C4×Q8—44no—
996C4×Q8—44no—
997C4×Q8—44no—
998C4×Q8—44no—
999C4×Q8—44no—
1000C4×Q8—44no—
1001C4×Q8—44no—
1002C4×Q8—44no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4—24no—
1006C4×D4—24no—
1007C4×D4—216no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—44no—
1015C4×D4—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018C4×D4—42no—
1019C4×D4#4118yescomplemented
1020#117—24no—
1021#117—24no—
1022#117—42no—
1023#117—42no—
1024#117—44no—
1025#117—44no—
1026C2×C4⋊C4—44no—
1027C2×C4⋊C4—44no—
1028C2×C4⋊C4—44no—
1029C2×C4⋊C4—44no—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C42—24no—
1148C2×C42—24no—
1149C2×C42—24no—
1150C2×C42—24no—
1151C2×C42—24no—
1152C2×C42—42no—
1153C2×C42—42no—
1154C2×C42—42no—
1155C2×C42—42no—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2414yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2414yes—
1198C2×C42C2414yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209#95C2411yescharacteristic
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2411yescharacteristic
1214#95C2414yes—
1215#95C2414yes—
1216#95C2411yescharacteristic
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2411yescharacteristic
1228#95C2411yescharacteristic
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2411yescharacteristic
1241#95C2411yescharacteristic
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2411yescharacteristic
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2411yescharacteristic
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295C24C2514yes—
1296C24C2511yescharacteristic
1297C24C2511yescharacteristic
1298C24C2511yescharacteristic
1299#41—816no—
1300#41—816no—
1301C2×Q8—22no—
1302C2×Q8—24no—
1303C2×Q8—24no—
1304C2×Q8—28no—
1305C2×Q8—24no—
1306C2×Q8—24no—
1307C2×Q8—24no—
1308C2×Q8—24no—
1309C2×Q8—24no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—24no—
1317C2×Q8—24no—
1318C2×Q8—41no—
1319C2×Q8—41no—
1320C2×Q8—44no—
1321C2×Q8—44no—
1322C2×Q8—44no—
1323C2×Q8—44no—
1324C2×Q8—44no—
1325C2×Q8—816no—
1326C2×Q8—816no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—28no—
1332C2×D4—28no—
1333C2×D4—28no—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4C2×#4114yes—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—28no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—28no—
1384C22×C4—28no—
1385C22×C4—41no—
1386C22×C4—41no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—44no—
1394C22×C4—44no—
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—44no—
1404C22×C4—44no—
1405C22×C4C2×#4114yes—
1406C22×C4C2×#4114yes—
1407C22×C42−1+414yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2514yes—
1416C22×C4C2514yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2514yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2514yes—
1428C22×C4C2514yes—
1429C22×C4C2514yes—
1430C22×C4C2514yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—28no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—28no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—41no—
1477C4⋊C4—41no—
1478C4⋊C4—41no—
1479C4⋊C4—41no—
1480C4⋊C4—41no—
1481C4⋊C4—41no—
1482C4⋊C4—41no—
1483C4⋊C4—41no—
1484C4⋊C4—41no—
1485C4⋊C4—41no—
1486C4⋊C4—41no—
1487C4⋊C4—41no—
1488C4⋊C4—41no—
1489C4⋊C4—41no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4—44no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C4⋊C4C2×#4114yes—
1505C22⋊C4—22no—
1506C22⋊C4—22no—
1507C22⋊C4—22no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—28no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—22no—
1520C22⋊C4—22no—
1521C22⋊C4—41no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—41no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—41no—
1537C22⋊C4—41no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4C2×#4114yes—
1559C22⋊C4C2×#4114yes—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—28no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—22no—
1584C42—22no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—22no—
1597C42—41no—
1598C42—41no—
1599C42—41no—
1600C42—41no—
1601C42—41no—
1602C42—41no—
1603C42—41no—
1604C42—41no—
1605C42—44no—
1606C42—44no—
1607C42—44no—
1608C42—44no—
1609C42—44no—
1610C42—44no—
1611C42C2×#4114yes—
1612C42H(5,𝔽2)14yes—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—24no—
1632C23—24no—
1633C23—24no—
1634C23—24no—
1635C23—24no—
1636C23—24no—
1637C23—24no—
1638C23C22×#4112yes—
1639C23C22×#4112yes—
1640C23C2×2−1+412yes—
1641C23C2611yescharacteristic
1642Q8—44no—
1643Q8—48no—
1644Q8—48no—
1645Q8—48no—
1646Q8—48no—
1647Q8—48no—
1648Q8—88no—
1649Q8—88no—
1650D4—44no—
1651D4—44no—
1652D4—44no—
1653D4—48no—
1654D4—48no—
1655D4—48no—
1656D4—88no—
1657D4—88no—
1658D4—88no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—28no—
1670C2×C4—28no—
1671C2×C4—28no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—24no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—24no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—24no—
1736C2×C4—24no—
1737C2×C4—24no—
1738C2×C4—24no—
1739C2×C4—24no—
1740C2×C4—24no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—24no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—24no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—44no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—88no—
1764C2×C4—88no—
1765C2×C4—88no—
1766C2×C4—88no—
1767C2×C4—164no—
1768C2×C4C22×#4112yes—
1769C2×C4C22×#4112yes—
1770C2×C4C22×#4112yes—
1771C2×C4C22×#4112yes—
1772C2×C4C22×#4112yes—
1773C2×C4C2×H(5,𝔽2)12yes—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×2−1+412yes—
1777C2×C4C2×2−1+412yes—
1778C2×C4#58512yes—
1779C2×C4#58512yes—
1780C2×C4#58512yes—
1781C2×C4#58512yes—
1782C22—22no—
1783C22—22no—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—44no—
1804C22—44no—
1805C22—44no—
1806C22—44no—
1807C22—44no—
1808C22—44no—
1809C22—44no—
1810C22C23×#4111yescharacteristic
1811C22C22×H(5,𝔽2)11yescharacteristic
1812C22C22×2−1+411yescharacteristic
1813C22C2×#58511yescharacteristic
1814C22C2×#58511yescharacteristic
1815C22C2×#58511yescharacteristic
1816C22C2×#58511yescharacteristic
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—41no—
1823C4—41no—
1824C4—44no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—44no—
1829C4—44no—
1830C4—41no—
1831C4—44no—
1832C4—44no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—44no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—44no—
1848C4—41no—
1849C4#351414yes—
1850C4#356114yes—
1851C4#356214yes—
1852C2—42no—
1853C2—42no—
1854C2—42no—
1855C2—84no—
1856C2C2×#356111yescharacteristic
1857C2C2×#356211yescharacteristic
1858C2C2×#351411yescharacteristic
1859C2#6280511yescharacteristic
1860C2#6281511yescharacteristic
1861C2#6283811yescharacteristic
1862C2#6283911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59582C2semidirect
2. #59485C2semidirect
3. #59282C2semidirect
4. #59281C2semidirect
5. #46075C2semidirect
6. #46072C2semidirect
7. #45714C2semidirect
8. #45687C2semidirect
9. #40104C2semidirect
10. #40080C2semidirect
11. #40008C2semidirect
12. #39984C2semidirect
13. #39238C2semidirect
14. #39224C2semidirect
15. #39071C2semidirect
16. #39068C2semidirect
17. #39010C2semidirect
18. #38998C2semidirect
19. #38937C2semidirect
20. #38903C2semidirect
21. #37581C2semidirect
22. #37414C2semidirect
23. #37406C2semidirect
24. #36639C2semidirect
25. #36635C2semidirect
26. #36609C2semidirect
27. #36608C2semidirect
28. #36150C2semidirect
29. #36149C2semidirect
30. #36129C2semidirect
31. #36129C2semidirect
32. #36129C2semidirect
33. #36122C2semidirect
34. #35320C2semidirect
35. #35291C2semidirect
36. #35289C2semidirect
37. #35288C2semidirect
38. #34496C2semidirect
39. C4×#529C2semidirect
1019. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#595822
#594852
#592822
#592812
#460752
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C4×#5292