Finite Group Databasebeta

← #7671729

Subgroups — #7671729

Order 512.

5305 conjugacy classes of subgroups.

The subgroup lattice has 1968 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59282C212yesmaximal, complemented
2#59280C212yesmaximal, complemented
3#59264C212yesmaximal, complemented
4#59247C212yesmaximal, complemented
5#59236C212yesmaximal, complemented
6#59215C212yesmaximal, complemented
7#59020C212yesmaximal, complemented
8#59017C212yesmaximal, complemented
9#39934C212yesmaximal, complemented
10#39930C212yesmaximal, complemented
11#39910C212yesmaximal, complemented
12#39906C212yesmaximal, complemented
13#37984C212yesmaximal, complemented
14#37972C212yesmaximal, complemented
15#37857C212yesmaximal, complemented
16#37845C212yesmaximal, complemented
17#36624C211yesmaximal, characteristic, complemented
18#36494C212yesmaximal, complemented
19#36470C212yesmaximal, complemented
20#36420C212yesmaximal, complemented
21#36414C212yesmaximal, complemented
22#36211C211yesmaximal, characteristic, complemented
23#36211C211yesmaximal, characteristic, complemented
24#36210C211yesmaximal, characteristic, complemented
25#36209C211yesmaximal, characteristic, complemented
26#36189C211yesmaximal, characteristic, complemented
27#36188C211yesmaximal, characteristic, complemented
28#36187C211yesmaximal, characteristic, complemented
29#36182C211yesmaximal, characteristic, complemented
30#35588C212yesmaximal, complemented
31#35550C212yesmaximal, complemented
32#35294C211yesmaximal, characteristic, complemented
33#35292C211yesmaximal, characteristic, complemented
34#35161C212yesmaximal, complemented
35#34306C212yesmaximal, complemented
36#34226C211yesmaximal, characteristic, complemented
37#34188C211yesmaximal, characteristic, complemented
38C4×#525C211yesmaximal, characteristic, complemented
39#34012C211yesmaximal, characteristic, complemented
40C2×#556C2212yes—
41C2×#555C2212yes—
42C2×#553C2212yes—
43C2×#532C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#525C2212yes—
46C2×C4×#41C2211yescharacteristic
47C23×C42C2211yescharacteristic
48#2868C2211yescharacteristic, complemented
49#2865C2214yescomplemented
50#2860C2214yescomplemented
51#2859C2211yescharacteristic, complemented
52#2859C2211yescharacteristic, complemented
53#2859C2211yescharacteristic, complemented
54#2857C2211yescharacteristic
55#2857C2211yescharacteristic
56#2857C2211yescharacteristic, complemented
57#2857C2211yescharacteristic, complemented
58#2856C2211yescharacteristic
59#2856C2211yescharacteristic
60#2856C2211yescharacteristic, complemented
61#2856C2211yescharacteristic, complemented
62#2854C2212yes—
63#2854C2212yes—
64#2850C2212yes—
65#2850C2212yes—
66#2847C2212yes—
67#2847C2212yes—
68#2775C2214yescomplemented
69#2764C2214yescomplemented
70#2756C2214yescomplemented
71#2751C2214yes—
72#2749C2214yes—
73#2749C2214yes—
74#2746C2214yes—
75#2743C2214yes—
76#2740C2214yes—
77#2738C2214yescomplemented
78#2700C2214yes—
79#2697C2214yes—
80#2688C2214yes—
81#2685C2214yes—
82#2670C2214yes—
83#2668C2214yes—
84#2649C2214yes—
85#2648C2214yes—
86#2629C2212yes—
87#2628C2212yes—
88#2624C2212yes—
89#2615C2212yes—
90#2604C2214yescomplemented
91#2603C2214yescomplemented
92#2595C2214yes—
93#2592C2212yescomplemented
94#2580C2212yescomplemented
95#2578C2214yes—
96#2578C2214yescomplemented
97#2576C2214yes—
98#2573C2214yescomplemented
99#2570C2212yescomplemented
100#2570C2212yescomplemented
101#2570C2212yescomplemented
102#2568C2212yescomplemented
103#2566C2212yescomplemented
104#2563C2212yescomplemented
105#2562C2212yes—
106#2559C2214yes—
107#2557C2214yes—
108#2557C2214yes—
109#2555C2214yes—
110#2554C2214yes—
111#2553C2214yes—
112#2553C2214yes—
113#2550C2212yescomplemented
114#2550C2212yescomplemented
115#2547C2212yes—
116#2547C2212yes—
117#2540C2212yescomplemented
118#2537C2212yes—
119#2537C2212yes—
120#2536C2212yes—
121#2535C2212yes—
122#2535C2212yes—
123#2535C2212yescomplemented
124#2532C2214yescomplemented
125#2531C2214yes—
126#2531C2214yescomplemented
127#2531C2214yescomplemented
128#2530C2214yescomplemented
129#2530C2214yescomplemented
130#2529C2214yescomplemented
131#2527C2214yescomplemented
132#2526C2214yes—
133#2526C2214yescomplemented
134#2523C2214yescomplemented
135#2514C2212yescomplemented
136#2513C2212yescomplemented
137#2513C2212yescomplemented
138#2513C2212yescomplemented
139#2513C2212yescomplemented
140#2512C2212yescomplemented
141#2512C2212yescomplemented
142#2511C2212yescomplemented
143#2510C2214yescomplemented
144#2509C2212yescomplemented
145#2508C2212yescomplemented
146#2508C2212yescomplemented
147#2507C2212yescomplemented
148#2504C2212yescomplemented
149#2500C2212yes—
150#2500C2212yes—
151#2500C2212yescomplemented
152#2499C2212yes—
153#2499C2212yescomplemented
154#2497C2212yes—
155#2496C2212yes—
156#2496C2212yes—
157#2496C2212yescomplemented
158#2496C2212yescomplemented
159#2495C2212yes—
160#2495C2212yes—
161#2495C2212yescomplemented
162#2494C2212yes—
163#2494C2212yescomplemented
164#2491C2212yes—
165#2491C2212yes—
166#2491C2212yescomplemented
167#2491C2212yescomplemented
168#2490C2212yes—
169#2490C2212yes—
170#2490C2212yescomplemented
171#2490C2212yescomplemented
172#2489C2212yes—
173#2489C2212yescomplemented
174#2487C2212yes—
175#2485C2212yes—
176#2485C2212yes—
177#2485C2212yes—
178#2477C2214yes—
179#2471C2214yes—
180#2468C2214yes—
181#2467C2214yes—
182#2466C2214yes—
183#2459C2214yes—
184#2458C2214yes—
185#2457C2214yes—
186#2442C2212yescomplemented
187#2441C2212yes—
188#2441C2212yes—
189#2441C2212yes—
190#2439C2212yes—
191#2439C2212yes—
192#2423C2212yes—
193#2422C2212yes—
194#2422C2212yes—
195#2421C2212yescomplemented
196#2420C2214yes—
197#2420C2212yes—
198#2420C2212yes—
199#2420C2212yescomplemented
200#2420C2212yescomplemented
201#2419C2214yes—
202#2417C2212yes—
203#2416C2212yes—
204#2416C2212yes—
205#2415C2212yes—
206#2414C2212yes—
207#2414C2212yes—
208#2414C2212yes—
209#2414C2212yes—
210#2414C2212yes—
211#2414C2212yes—
212#2407C2212yes—
213#2407C2212yes—
214#2372C2214yescomplemented
215#2370C2212yescomplemented
216#2367C2214yes—
217#2367C2212yescomplemented
218#2367C2212yescomplemented
219#2365C2212yescomplemented
220#2365C2212yescomplemented
221#2364C2214yes—
222#2363C2212yes—
223#2363C2212yes—
224#2363C2212yes—
225#2363C2212yes—
226#2363C2212yescomplemented
227#2363C2212yescomplemented
228#2362C2212yes—
229#2361C2212yescomplemented
230#2361C2212yescomplemented
231#2360C2212yescomplemented
232#2357C2212yescomplemented
233#2357C2212yescomplemented
234#2357C2212yescomplemented
235#2356C2212yescomplemented
236#2355C2212yescomplemented
237#2355C2212yescomplemented
238#2354C2212yes—
239#2354C2212yes—
240#2354C2212yescomplemented
241#2354C2212yescomplemented
242#2352C2212yes—
243#2352C2212yes—
244#2352C2212yes—
245#2352C2212yescomplemented
246#2352C2212yescomplemented
247#2349C2212yescomplemented
248#2347C2212yescomplemented
249#2346C2212yes—
250#2346C2212yescomplemented
251#2345C2212yescomplemented
252#2343C2214yescomplemented
253#2341C2212yes—
254#2339C2212yes—
255#2337C2214yes—
256#2333C2214yes—
257#2331C2212yescomplemented
258#2330C2212yescomplemented
259#2324C2212yes—
260#2324C2212yes—
261#2324C2212yescomplemented
262#2324C2212yescomplemented
263#2319C2212yescomplemented
264#2314C2212yes—
265#2314C2212yescomplemented
266#2311C2212yes—
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×#127C2211yescharacteristic, complemented
270C4×#127C2211yescharacteristic, complemented
271C4×#124C2214yescomplemented
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic
274C4×C22⋊Q8C2211yescharacteristic
275C4×C22⋊Q8C2211yescharacteristic
276C4×#123C2211yescharacteristic
277C4×#123C2211yescharacteristic
278C4×#123C2211yescharacteristic
279C4×#123C2211yescharacteristic
280C4×#121C2212yes—
281C4×#121C2212yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#120C2211yescharacteristic
289C4×#120C2211yescharacteristic
290C4×#120C2211yescharacteristic
291C4×#120C2211yescharacteristic
292#2298C2214yescomplemented
293#2297C2212yes—
294#2297C2211yescharacteristic
295#2296C2211yescharacteristic
296#2290C2211yescharacteristic
297#2290C2211yescharacteristic
298#2290C2211yescharacteristic
299#2290C2211yescharacteristic
300#2285C2211yescharacteristic
301#2285C2211yescharacteristic
302#2285C2211yescharacteristic
303#2285C2211yescharacteristic
304#2285C2211yescharacteristic
305#2285C2211yescharacteristic
306#2285C2211yescharacteristic
307#2285C2211yescharacteristic, complemented
308#2285C2211yescharacteristic, complemented
309#2285C2211yescharacteristic, complemented
310C2×#384C2211yescharacteristic, complemented
311#2283C2212yes—
312#2283C2212yes—
313#2283C2212yes—
314#2283C2212yes—
315#2283C2212yes—
316#2283C2212yes—
317#2280C2212yes—
318#2280C2212yes—
319#2280C2212yes—
320#2280C2211yescharacteristic
321#2275C2212yescomplemented
322#2274C2212yescomplemented
323C42×D4C2211yescharacteristic
324C42×D4C2211yescharacteristic
325C42×D4C2211yescharacteristic
326C42×D4C2211yescharacteristic
327C4×#117C2212yes—
328C4×#117C2212yes—
329C4×#117C2212yes—
330C4×#117C2211yescharacteristic
331C22×#41C2311yescharacteristic
332C22×#41C2312yes—
333C24×C4C2311yescharacteristic
334C24×C4C2311yescharacteristic
335C24×C4C2311yescharacteristic
336#556—48no—
337#555—216no—
338#553—48no—
339#532—28no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×#127C2311yescharacteristic
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2312yes—
351C2×#124C2312yes—
352C2×#124C2314yes—
353C2×#124C2314yes—
354C2×#124C2314yes—
355#525—28no—
356#525—48no—
357C2×#123C2311yescharacteristic
358C2×#123C2311yescharacteristic
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#120C2311yescharacteristic
386C2×#120C2311yescharacteristic
387C2×#120C2314yes—
388C4×#41—28no—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2311yescharacteristic
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2314yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2311yescharacteristic
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C42—28no—
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2311yescharacteristic
447C22×C42C2311yescharacteristic
448C22×C42C2311yescharacteristic
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2311yescharacteristic
454C22×C42C2311yescharacteristic
455C22×C42C2311yescharacteristic
456C22×C42C2311yescharacteristic
457#401C2314yes—
458#400C2314yes—
459#400C2314yes—
460#400C2314yes—
461#400C2314yes—
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
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#397C2314yes—
491#397C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#395C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#393C2314yes—
513#393C2314yes—
514#393C2314yes—
515#393C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#391C2312yes—
522#391C2312yes—
523#391C2314yes—
524#391C2312yes—
525#391C2314yes—
526#391C2312yes—
527#391C2314yes—
528#391C2314yes—
529#391C2314yes—
530#391C2312yes—
531#391C2312yes—
532#391C2311yescharacteristic
533#391C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2314yes—
545#390C2314yes—
546#390C2314yes—
547#390C2314yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2311yescharacteristic
560#390C2314yes—
561#390C2314yes—
562#390C2311yescharacteristic
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2314yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2311yescharacteristic
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2311yescharacteristic
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2311yescharacteristic
635#388C2311yescharacteristic
636#388C2311yescharacteristic
637#388C2311yescharacteristic
638#388C2311yescharacteristic
639#388C2311yescharacteristic
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2311yescharacteristic
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2311yescharacteristic
657#387C2314yes—
658#387C2311yescharacteristic
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2311yescharacteristic
665#387C2311yescharacteristic
666#387C2311yescharacteristic
667#387C2311yescharacteristic
668#387C2311yescharacteristic
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2311yescharacteristic
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2311yescharacteristic
690#386C2311yescharacteristic
691#386C2311yescharacteristic
692#386C2311yescharacteristic
693#386C2311yescharacteristic
694#386C2311yescharacteristic
695#386C2311yescharacteristic
696#386C2311yescharacteristic
697#386C2311yescharacteristic
698#386C2311yescharacteristic
699#386C2311yescharacteristic
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2311yescharacteristic
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2311yescharacteristic
709#385C2311yescharacteristic
710#385C2311yescharacteristic
711#385C2311yescharacteristic
712#385C2311yescharacteristic
713#385C2311yescharacteristic
714#385C2311yescharacteristic
715#385C2311yescharacteristic
716#385C2311yescharacteristic
717#385C2311yescharacteristic
718#385C2311yescharacteristic
719#384C2311yescharacteristic
720#384C2311yescharacteristic
721#384C2312yes—
722#384C2312yes—
723#384C2312yes—
724#384C2312yes—
725#384C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2312yes—
731#383C2314yes—
732#383C2314yes—
733#383C2314yes—
734#383C2314yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2312yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2312yes—
744#382C2312yes—
745#382C2314yes—
746#382C2314yes—
747#382C2312yes—
748#382C2312yes—
749#382C2312yes—
750#381C2314yes—
751#381C2311yescharacteristic
752#381C2314yes—
753#381C2314yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#381C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2311yescharacteristic
794#379C2314yes—
795#379C2311yescharacteristic
796#379C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
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×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2311yescharacteristic
850C4×C22⋊C4C2311yescharacteristic
851C4×C22⋊C4C2314yes—
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2311yescharacteristic
854C4×C22⋊C4C2314yes—
855C4×C22⋊C4C2311yescharacteristic
856C4×C22⋊C4C2311yescharacteristic
857C4×C22⋊C4C2311yescharacteristic
858C4×C22⋊C4C2314yes—
859C4×C22⋊C4C2311yescharacteristic
860C4×C22⋊C4C2311yescharacteristic
861C4×C22⋊C4C2311yescharacteristic
862C4×C22⋊C4C2311yescharacteristic
863C4×C22⋊C4C2311yescharacteristic
864C4×C22⋊C4C2311yescharacteristic
865C4×C22⋊C4C2311yescharacteristic
866C4×C22⋊C4C2311yescharacteristic
867C4×C22⋊C4C2314yes—
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
877C4×C22⋊C4C2311yescharacteristic
878C4×C22⋊C4C2314yes—
879C4×C22⋊C4C2314yes—
880C4×C22⋊C4C2311yescharacteristic
881C4×C22⋊C4C2311yescharacteristic
882C4×C22⋊C4C2311yescharacteristic
883C4×C22⋊C4C2311yescharacteristic
884#376C2311yescharacteristic
885#376C2311yescharacteristic
886#376C2314yes—
887#376C2314yes—
888#376C2314yes—
889#376C2314yes—
890C2×#95C2314yes—
891C43C2311yescharacteristic
892C43C2311yescharacteristic
893C43C2314yes—
894C25C2411yescharacteristic
895C2×#41—24no—
896C2×#41—24no—
897C2×#41—28no—
898C2×#41—42no—
899C2×#41—44no—
900C2×#41—44no—
901C22×Q8C2412yes—
902C22×Q8C2411yescharacteristic
903C22×Q8C2414yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2411yescharacteristic
908C22×D4C2411yescharacteristic
909C22×D4C2411yescharacteristic
910C22×D4C2411yescharacteristic
911C22×D4C2411yescharacteristic
912C22×D4C2411yescharacteristic
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C22×D4C2411yescharacteristic
919C23×C4—24no—
920C23×C4—24no—
921C23×C4—24no—
922C23×C4—24no—
923C23×C4—24no—
924C23×C4—42no—
925C23×C4—42no—
926C23×C4—42no—
927C23×C4—42no—
928C23×C4C2411yescharacteristic
929C23×C4C2411yescharacteristic
930C23×C4C2411yescharacteristic
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2411yescharacteristic
934C23×C4C2411yescharacteristic
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C23×C4C2411yescharacteristic
948C23×C4C2411yescharacteristic
949C23×C4C2414yes—
950C23×C4C2414yes—
951C23×C4C2411yescharacteristic
952C23×C4C2411yescharacteristic
953C23×C4C2411yescharacteristic
954C23×C4C2414yes—
955C23×C4C2414yes—
956C4⋊Q8—24no—
957C4⋊Q8—28no—
958C4⋊Q8—44no—
959C4⋊Q8—44no—
960#127—24no—
961#126—48no—
962#126—48no—
963#126—48no—
964#125—44no—
965#125—44no—
966#125—44no—
967#124—216no—
968#124—216no—
969#124—28no—
970#124—48no—
971#123—24no—
972#123—24no—
973#123—48no—
974#123—48no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—44no—
979C22⋊Q8—44no—
980C22⋊Q8—44no—
981#121—24no—
982#121—216no—
983#121—28no—
984#121—28no—
985#121—28no—
986#121—28no—
987#121—28no—
988#121—24no—
989#121—48no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—44no—
998#121—44no—
999#120—24no—
1000#120—24no—
1001#120—48no—
1002C4×Q8—24no—
1003C4×Q8—24no—
1004C4×Q8—48no—
1005C4×Q8—44no—
1006C4×Q8—44no—
1007C4×D4—24no—
1008C4×D4—24no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—24no—
1013C4×D4—24no—
1014C4×D4—24no—
1015C4×D4—24no—
1016C4×D4—24no—
1017C4×D4—24no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—48no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—42no—
1028C4×D4—42no—
1029C4×D4—42no—
1030C4×D4—42no—
1031C4×D4—42no—
1032C4×D4—42no—
1033C4×D4—48no—
1034C4×D4—48no—
1035C4×D4#4118yescomplemented
1036#117—24no—
1037#117—28no—
1038#117—28no—
1039#117—28no—
1040#117—216no—
1041#117—24no—
1042#117—24no—
1043#117—24no—
1044#117—42no—
1045#117—44no—
1046#117—44no—
1047#117—44no—
1048#117—44no—
1049#117—44no—
1050#117—44no—
1051#117—44no—
1052C2×C4⋊C4—44no—
1053C2×C4⋊C4—44no—
1054C2×C4⋊C4—44no—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2411yescharacteristic
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2411yescharacteristic
1119C2×C22⋊C4C2411yescharacteristic
1120C2×C22⋊C4C2411yescharacteristic
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2411yescharacteristic
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2411yescharacteristic
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2411yescharacteristic
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C42—24no—
1184C2×C42—24no—
1185C2×C42—24no—
1186C2×C42—24no—
1187C2×C42—24no—
1188C2×C42—24no—
1189C2×C42—24no—
1190C2×C42—24no—
1191C2×C42—24no—
1192C2×C42—24no—
1193C2×C42—24no—
1194C2×C42—24no—
1195C2×C42—24no—
1196C2×C42#4118yes—
1197C2×C42C2414yes—
1198C2×C42C2414yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2411yescharacteristic
1203C2×C42C2414yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224C2×C42C2411yescharacteristic
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2414yes—
1230C2×C42C2414yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2414yes—
1234C2×C42C2414yes—
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2414yes—
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2414yes—
1252#95C2411yescharacteristic
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2411yescharacteristic
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2414yes—
1268#95C2414yes—
1269#95C2411yescharacteristic
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2411yescharacteristic
1282#95C2411yescharacteristic
1283#95C2411yescharacteristic
1284#95C2411yescharacteristic
1285#95C2411yescharacteristic
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2411yescharacteristic
1289#95C2411yescharacteristic
1290#95C2411yescharacteristic
1291#95C2411yescharacteristic
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313C24—22no—
1314C24—22no—
1315C24—22no—
1316C24—41no—
1317C24—41no—
1318C24—41no—
1319C24—41no—
1320C24C2514yes—
1321C24C2511yescharacteristic
1322C24C2511yescharacteristic
1323C24C2511yescharacteristic
1324C24C2511yescharacteristic
1325C24C2511yescharacteristic
1326#41—416no—
1327#41—816no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—28no—
1332C2×Q8—24no—
1333C2×Q8—24no—
1334C2×Q8—41no—
1335C2×Q8—44no—
1336C2×Q8—44no—
1337C2×D4—22no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—28no—
1346C2×D4—28no—
1347C2×D4—28no—
1348C2×D4—28no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—41no—
1365C2×D4—41no—
1366C2×D4—41no—
1367C2×D4—41no—
1368C2×D4—41no—
1369C2×D4—41no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4C2×#4114yes—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—28no—
1437C22×C4—28no—
1438C22×C4—41no—
1439C22×C4—41no—
1440C22×C4—41no—
1441C22×C4—41no—
1442C22×C4—41no—
1443C22×C4—41no—
1444C22×C4—41no—
1445C22×C4—41no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—416no—
1451C22×C4—416no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—416no—
1463C22×C4C2×#4114yes—
1464C22×C4C2×#4114yes—
1465C22×C4C2×#4114yes—
1466C22×C4C2×#4114yes—
1467C22×C4C2×#4114yes—
1468C22×C4H(5,𝔽2)14yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2511yescharacteristic
1474C22×C4C2514yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2511yescharacteristic
1478C22×C4C2514yes—
1479C22×C4C2511yescharacteristic
1480C22×C4C2514yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2514yes—
1483C22×C4C2511yescharacteristic
1484C22×C4C2514yes—
1485C22×C4C2514yes—
1486C22×C4C2514yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—22no—
1511C4⋊C4—28no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—28no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—41no—
1541C4⋊C4—41no—
1542C4⋊C4—41no—
1543C4⋊C4—41no—
1544C4⋊C4—41no—
1545C4⋊C4—41no—
1546C4⋊C4—41no—
1547C4⋊C4—41no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4C2×#4114yes—
1562C22⋊C4—22no—
1563C22⋊C4—22no—
1564C22⋊C4—28no—
1565C22⋊C4—28no—
1566C22⋊C4—22no—
1567C22⋊C4—22no—
1568C22⋊C4—28no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—28no—
1572C22⋊C4—22no—
1573C22⋊C4—22no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—22no—
1577C22⋊C4—22no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—22no—
1581C22⋊C4—22no—
1582C22⋊C4—22no—
1583C22⋊C4—22no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—28no—
1590C22⋊C4—41no—
1591C22⋊C4—41no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—41no—
1600C22⋊C4—41no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—41no—
1604C22⋊C4—41no—
1605C22⋊C4—41no—
1606C22⋊C4—41no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—41no—
1610C22⋊C4—41no—
1611C22⋊C4—41no—
1612C22⋊C4—41no—
1613C22⋊C4—41no—
1614C22⋊C4—41no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4C2×#4114yes—
1629C22⋊C4C2×#4114yes—
1630C42—22no—
1631C42—22no—
1632C42—22no—
1633C42—22no—
1634C42—22no—
1635C42—22no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—22no—
1648C42—28no—
1649C42—28no—
1650C42—22no—
1651C42—28no—
1652C42—22no—
1653C42—22no—
1654C42—22no—
1655C42—22no—
1656C42—22no—
1657C42—22no—
1658C42—22no—
1659C42—22no—
1660C42—22no—
1661C42—22no—
1662C42—44no—
1663C42—44no—
1664C42—44no—
1665C42—44no—
1666C42—44no—
1667C42—44no—
1668C42—44no—
1669C42—44no—
1670C42—44no—
1671C42C2×#4114yes—
1672C42C2×#4114yes—
1673C42C2×#4114yes—
1674C42C2×#4114yes—
1675C42C2×#4114yes—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—24no—
1701C23—21no—
1702C23—24no—
1703C23—21no—
1704C23—21no—
1705C23—24no—
1706C23—21no—
1707C23—24no—
1708C23—24no—
1709C23—24no—
1710C23—24no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—44no—
1715C23—44no—
1716C23—44no—
1717C23—44no—
1718C23—44no—
1719C23—44no—
1720C23—44no—
1721C23C22×#4112yes—
1722C23C22×#4112yes—
1723C23C22×#4112yes—
1724C23C2×H(5,𝔽2)12yes—
1725C23C2611yescharacteristic
1726Q8—44no—
1727Q8—48no—
1728Q8—88no—
1729D4—44no—
1730D4—44no—
1731D4—44no—
1732D4—44no—
1733D4—44no—
1734D4—44no—
1735D4—44no—
1736D4—48no—
1737D4—48no—
1738D4—48no—
1739D4—88no—
1740D4—88no—
1741D4—88no—
1742D4—88no—
1743D4—164no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—28no—
1761C2×C4—28no—
1762C2×C4—28no—
1763C2×C4—28no—
1764C2×C4—28no—
1765C2×C4—28no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—24no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—24no—
1779C2×C4—24no—
1780C2×C4—21no—
1781C2×C4—24no—
1782C2×C4—21no—
1783C2×C4—24no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—24no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—24no—
1809C2×C4—24no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—24no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—44no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—44no—
1841C2×C4—44no—
1842C2×C4—44no—
1843C2×C4—44no—
1844C2×C4—44no—
1845C2×C4—44no—
1846C2×C4—44no—
1847C2×C4—44no—
1848C2×C4—44no—
1849C2×C4—44no—
1850C2×C4—88no—
1851C2×C4—88no—
1852C2×C4—164no—
1853C2×C4—164no—
1854C2×C4C22×#4112yes—
1855C2×C4C22×#4112yes—
1856C2×C4C22×#4112yes—
1857C2×C4C22×#4112yes—
1858C2×C4C22×#4112yes—
1859C2×C4C22×#4112yes—
1860C2×C4C22×#4112yes—
1861C2×C4C22×#4112yes—
1862C2×C4C22×#4112yes—
1863C2×C4C22×#4112yes—
1864C2×C4C22×#4112yes—
1865C2×C4C2×H(5,𝔽2)12yes—
1866C2×C4C2×H(5,𝔽2)12yes—
1867C2×C4#58512yes—
1868C2×C4#58512yes—
1869C2×C4#58512yes—
1870C2×C4#58512yes—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—22no—
1877C22—22no—
1878C22—22no—
1879C22—22no—
1880C22—22no—
1881C22—22no—
1882C22—22no—
1883C22—416no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—44no—
1902C22—41no—
1903C22—44no—
1904C22—41no—
1905C22—44no—
1906C22—44no—
1907C22—41no—
1908C22—44no—
1909C22—41no—
1910C22—41no—
1911C22—44no—
1912C22—41no—
1913C22—44no—
1914C22C23×#4111yescharacteristic
1915C22C23×#4111yescharacteristic
1916C22C22×H(5,𝔽2)11yescharacteristic
1917C22C2×#58511yescharacteristic
1918C22C2×#58511yescharacteristic
1919C22C2×#58511yescharacteristic
1920C22C2×#58511yescharacteristic
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—22no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4—41no—
1935C4—41no—
1936C4—44no—
1937C4—41no—
1938C4—44no—
1939C4—44no—
1940C4—44no—
1941C4—41no—
1942C4—41no—
1943C4—44no—
1944C4—41no—
1945C4—44no—
1946C4—41no—
1947C4—41no—
1948C4—44no—
1949C4—41no—
1950C4—41no—
1951C4#347514yes—
1952C4#349314yes—
1953C4#349414yes—
1954C2—42no—
1955C2—42no—
1956C2—42no—
1957C2—42no—
1958C2—81no—
1959C2—84no—
1960C2C2×#347511yescharacteristic
1961C2C2×#349311yescharacteristic
1962C2C2×#349411yescharacteristic
1963C2#6280011yescharacteristic
1964C2#6281511yescharacteristic
1965C2#6283611yescharacteristic
1966C2#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. #59282C2semidirect
2. #59280C2semidirect
3. #59264C2semidirect
4. #59247C2semidirect
5. #59236C2semidirect
6. #59215C2semidirect
7. #59020C2semidirect
8. #59017C2semidirect
9. #39934C2semidirect
10. #39930C2semidirect
11. #39910C2semidirect
12. #39906C2semidirect
13. #37984C2semidirect
14. #37972C2semidirect
15. #37857C2semidirect
16. #37845C2semidirect
17. #36624C2semidirect
18. #36494C2semidirect
19. #36470C2semidirect
20. #36420C2semidirect
21. #36414C2semidirect
22. #36211C2semidirect
23. #36211C2semidirect
24. #36210C2semidirect
25. #36209C2semidirect
26. #36189C2semidirect
27. #36188C2semidirect
28. #36187C2semidirect
29. #36182C2semidirect
30. #35588C2semidirect
31. #35550C2semidirect
32. #35294C2semidirect
33. #35292C2semidirect
34. #35161C2semidirect
35. #34306C2semidirect
36. #34226C2semidirect
37. #34188C2semidirect
38. C4×#525C2semidirect
39. #34012C2semidirect
48. #2868C22semidirect
49. #2865C22semidirect
50. #2860C22semidirect
51. #2859C22semidirect
52. #2859C22semidirect
53. #2859C22semidirect
56. #2857C22semidirect
57. #2857C22semidirect
60. #2856C22semidirect
61. #2856C22semidirect
68. #2775C22semidirect
69. #2764C22semidirect
70. #2756C22semidirect
77. #2738C22semidirect
90. #2604C22semidirect
91. #2603C22semidirect
93. #2592C22semidirect
94. #2580C22semidirect
96. #2578C22semidirect
98. #2573C22semidirect
99. #2570C22semidirect
100. #2570C22semidirect
101. #2570C22semidirect
102. #2568C22semidirect
103. #2566C22semidirect
104. #2563C22semidirect
113. #2550C22semidirect
114. #2550C22semidirect
117. #2540C22semidirect
123. #2535C22semidirect
124. #2532C22semidirect
126. #2531C22semidirect
127. #2531C22semidirect
128. #2530C22semidirect
129. #2530C22semidirect
130. #2529C22semidirect
131. #2527C22semidirect
133. #2526C22semidirect
134. #2523C22semidirect
135. #2514C22semidirect
136. #2513C22semidirect
137. #2513C22semidirect
138. #2513C22semidirect
139. #2513C22semidirect
140. #2512C22semidirect
141. #2512C22semidirect
142. #2511C22semidirect
143. #2510C22semidirect
144. #2509C22semidirect
145. #2508C22semidirect
146. #2508C22semidirect
147. #2507C22semidirect
148. #2504C22semidirect
151. #2500C22semidirect
153. #2499C22semidirect
157. #2496C22semidirect
158. #2496C22semidirect
161. #2495C22semidirect
163. #2494C22semidirect
166. #2491C22semidirect
167. #2491C22semidirect
170. #2490C22semidirect
171. #2490C22semidirect
173. #2489C22semidirect
186. #2442C22semidirect
195. #2421C22semidirect
199. #2420C22semidirect
200. #2420C22semidirect
214. #2372C22semidirect
215. #2370C22semidirect
217. #2367C22semidirect
218. #2367C22semidirect
219. #2365C22semidirect
220. #2365C22semidirect
226. #2363C22semidirect
227. #2363C22semidirect
229. #2361C22semidirect
230. #2361C22semidirect
231. #2360C22semidirect
232. #2357C22semidirect
233. #2357C22semidirect
234. #2357C22semidirect
235. #2356C22semidirect
236. #2355C22semidirect
237. #2355C22semidirect
240. #2354C22semidirect
241. #2354C22semidirect
245. #2352C22semidirect
246. #2352C22semidirect
247. #2349C22semidirect
248. #2347C22semidirect
250. #2346C22semidirect
251. #2345C22semidirect
252. #2343C22semidirect
257. #2331C22semidirect
258. #2330C22semidirect
261. #2324C22semidirect
262. #2324C22semidirect
263. #2319C22semidirect
265. #2314C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×#127C22semidirect
270. C4×#127C22semidirect
271. C4×#124C22semidirect
292. #2298C22semidirect
307. #2285C22semidirect
308. #2285C22semidirect
309. #2285C22semidirect
310. C2×#384C22semidirect
321. #2275C22semidirect
322. #2274C22semidirect
1035. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#592822
#592802
#592642
#592472
#592362
#592152
#590202
#590172
#399342
#399302
#399102
#399062
#379842
#379722
#378572
#378452
#366242
#364942
#364702
#364202
#364142
#362112
#362102
#362092
#361892
#361882
#361872
#361822
#355882
#355502
#352942
#352922
#351612
#343062
#342262
#341882
C4×#5252
#340122