Finite Group Databasebeta

← #7670291

Subgroups — #7670291

Order 512.

5488 conjugacy classes of subgroups.

The subgroup lattice has 1846 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59860C212yesmaximal, complemented
2#59859C212yesmaximal, complemented
3#59525C214yesmaximal, complemented
4#59391C212yesmaximal, complemented
5#59374C212yesmaximal, complemented
6#59257C211yesmaximal, characteristic, complemented
7#59212C211yesmaximal, characteristic, complemented
8#59079C211yesmaximal, characteristic, complemented
9#59034C211yesmaximal, characteristic, complemented
10#40010C212yesmaximal, complemented
11#40008C212yesmaximal, complemented
12#39990C214yesmaximal, complemented
13#39556C214yesmaximal, complemented
14#39477C212yesmaximal, complemented
15#39466C212yesmaximal, complemented
16#36625C211yesmaximal, characteristic, complemented
17#36536C212yesmaximal, complemented
18#36492C211yesmaximal, characteristic, complemented
19#36449C211yesmaximal, characteristic, complemented
20#36404C211yesmaximal, characteristic, complemented
21#36392C212yesmaximal, complemented
22#36301C211yesmaximal, characteristic, complemented
23#36177C211yesmaximal, characteristic, complemented
24#36176C211yesmaximal, characteristic, complemented
25#36168C212yesmaximal, complemented
26#36167C212yesmaximal, complemented
27#36154C211yesmaximal, characteristic, complemented
28#36153C211yesmaximal, characteristic, complemented
29#35379C214yesmaximal, complemented
30#35031C212yesmaximal, complemented
31#35026C212yesmaximal, complemented
32#34320C212yesmaximal, complemented
33#34185C212yesmaximal, complemented
34C4×#525C211yesmaximal, characteristic, complemented
35C2×C4×#121C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic, complemented
37C2×#547C2211yescharacteristic, complemented
38C2×#546C2212yes—
39C2×#533C2211yescharacteristic, complemented
40C2×#525C2211yescharacteristic
41C22×#121C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic, complemented
43C22×C4×D4C2212yes—
44C22×C4×D4C2211yescharacteristic
45C23×C42C2211yescharacteristic
46#2864C2212yescomplemented
47#2863C2212yescomplemented
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2857C2211yescharacteristic, complemented
52#2855C2212yes—
53#2855C2212yescomplemented
54#2855C2212yescomplemented
55#2855C2212yescomplemented
56#2854C2212yes—
57#2851C2212yes—
58#2851C2212yescomplemented
59#2851C2212yescomplemented
60#2848C2212yes—
61#2848C2212yes—
62#2848C2212yes—
63#2847C2212yes—
64#2787C2214yescomplemented
65#2782C2214yescomplemented
66#2781C2214yescomplemented
67#2779C2214yescomplemented
68#2778C2214yescomplemented
69#2778C2214yescomplemented
70#2770C2214yescomplemented
71#2750C2214yescomplemented
72#2749C2214yescomplemented
73#2746C2214yescomplemented
74#2728C2214yescomplemented
75#2708C2214yes—
76#2708C2214yes—
77#2696C2214yescomplemented
78#2688C2214yes—
79#2688C2214yes—
80#2655C2214yescomplemented
81#2652C2214yescomplemented
82#2622C2214yes—
83#2613C2214yes—
84#2602C2214yescomplemented
85#2602C2214yescomplemented
86#2600C2214yescomplemented
87#2600C2214yescomplemented
88#2600C2214yescomplemented
89#2598C2214yescomplemented
90#2597C2214yescomplemented
91#2595C2214yescomplemented
92#2585C2214yescomplemented
93#2578C2214yescomplemented
94#2578C2214yescomplemented
95#2578C2214yescomplemented
96#2578C2214yescomplemented
97#2577C2214yescomplemented
98#2577C2214yescomplemented
99#2576C2214yescomplemented
100#2576C2214yescomplemented
101#2575C2214yescomplemented
102#2573C2214yescomplemented
103#2573C2214yescomplemented
104#2573C2214yescomplemented
105#2571C2211yescharacteristic, complemented
106#2571C2211yescharacteristic, complemented
107#2568C2211yescharacteristic, complemented
108#2563C2211yescharacteristic, complemented
109#2563C2211yescharacteristic, complemented
110#2562C2212yescomplemented
111#2547C2211yescharacteristic, complemented
112#2538C2211yescharacteristic, complemented
113#2537C2211yescharacteristic, complemented
114#2536C2212yescomplemented
115#2535C2212yes—
116#2535C2212yes—
117#2533C2214yescomplemented
118#2532C2214yescomplemented
119#2531C2214yescomplemented
120#2530C2214yescomplemented
121#2530C2214yescomplemented
122#2527C2214yescomplemented
123#2516C2214yescomplemented
124#2514C2212yescomplemented
125#2514C2212yescomplemented
126#2513C2212yescomplemented
127#2510C2214yes—
128#2510C2214yescomplemented
129#2509C2212yescomplemented
130#2509C2212yescomplemented
131#2508C2212yescomplemented
132#2505C2214yes—
133#2504C2212yescomplemented
134#2503C2212yes—
135#2503C2212yescomplemented
136#2495C2212yescomplemented
137#2495C2212yescomplemented
138#2495C2212yescomplemented
139#2495C2212yescomplemented
140#2494C2214yescomplemented
141#2494C2212yescomplemented
142#2494C2212yescomplemented
143#2494C2212yescomplemented
144#2494C2212yescomplemented
145#2493C2214yes—
146#2493C2214yes—
147#2493C2214yescomplemented
148#2490C2212yescomplemented
149#2489C2212yescomplemented
150#2489C2212yescomplemented
151#2488C2214yes—
152#2487C2212yescomplemented
153#2486C2212yes—
154#2486C2212yescomplemented
155#2485C2212yescomplemented
156#2485C2212yescomplemented
157#2485C2212yescomplemented
158#2483C2214yes—
159#2477C2214yescomplemented
160#2477C2214yescomplemented
161#2470C2214yescomplemented
162#2463C2214yescomplemented
163#2458C2214yescomplemented
164#2457C2214yescomplemented
165#2454C2212yescomplemented
166#2453C2212yescomplemented
167#2450C2214yescomplemented
168#2442C2212yes—
169#2442C2212yescomplemented
170#2442C2212yescomplemented
171#2437C2214yes—
172#2427C2212yes—
173#2427C2212yes—
174#2427C2212yescomplemented
175#2425C2214yescomplemented
176#2421C2214yescomplemented
177#2421C2212yescomplemented
178#2421C2212yescomplemented
179#2421C2212yescomplemented
180#2420C2212yes—
181#2420C2212yes—
182#2420C2212yescomplemented
183#2419C2214yes—
184#2417C2212yes—
185#2417C2212yescomplemented
186#2416C2212yescomplemented
187#2415C2212yescomplemented
188#2415C2212yescomplemented
189#2415C2212yescomplemented
190#2414C2212yescomplemented
191#2414C2212yescomplemented
192#2412C2214yes—
193#2412C2214yes—
194#2407C2212yes—
195#2407C2212yes—
196#2407C2212yescomplemented
197#2407C2212yescomplemented
198#2374C2214yescomplemented
199#2369C2211yescharacteristic, complemented
200#2367C2212yescomplemented
201#2365C2211yescharacteristic, complemented
202#2363C2212yescomplemented
203#2363C2214yescomplemented
204#2361C2212yescomplemented
205#2360C2212yes—
206#2360C2212yescomplemented
207#2358C2214yes—
208#2357C2212yescomplemented
209#2356C2212yescomplemented
210#2355C2211yescharacteristic, complemented
211#2354C2211yescharacteristic, complemented
212#2353C2214yescomplemented
213#2353C2214yescomplemented
214#2353C2214yescomplemented
215#2353C2214yescomplemented
216#2353C2214yescomplemented
217#2352C2212yes—
218#2352C2212yescomplemented
219#2352C2212yescomplemented
220#2352C2212yescomplemented
221#2352C2212yescomplemented
222#2352C2212yescomplemented
223#2352C2212yescomplemented
224#2352C2212yescomplemented
225#2352C2212yescomplemented
226#2349C2212yescomplemented
227D4×C4⋊C4C2211yescharacteristic, complemented
228D4×C4⋊C4C2211yescharacteristic, complemented
229#2346C2212yescomplemented
230#2345C2212yescomplemented
231#2344C2212yescomplemented
232#2343C2214yescomplemented
233#2342C2214yes—
234#2341C2212yescomplemented
235#2339C2212yescomplemented
236D4×C22⋊C4C2212yes—
237#2335C2214yescomplemented
238#2333C2214yescomplemented
239#2322C2214yes—
240#2321C2214yes—
241#2313C2214yes—
242#2312C2214yes—
243#2308C2214yes—
244C4×#124C2212yescomplemented
245C4×C22⋊Q8C2212yes—
246C4×C22⋊Q8C2212yes—
247C4×C22⋊Q8C2211yescharacteristic
248C4×C22⋊Q8C2211yescharacteristic
249C4×C22⋊Q8C2212yescomplemented
250C4×C22⋊Q8C2212yescomplemented
251C4×C22⋊Q8C2211yescharacteristic, complemented
252C4×C22⋊Q8C2211yescharacteristic, complemented
253C4×#123C2212yescomplemented
254C4×#123C2212yescomplemented
255C4×#121C2211yescharacteristic
256C4×#121C2211yescharacteristic
257C4×#121C2212yes—
258C4×#121C2211yescharacteristic
259C4×#121C2211yescharacteristic
260C4×#121C2212yes—
261C4×#121C2211yescharacteristic
262C4×#121C2211yescharacteristic
263C4×#121C2211yescharacteristic
264C4×#121C2212yes—
265C4×#121C2211yescharacteristic
266C4×#121C2212yes—
267C4×#121C2211yescharacteristic
268C4×#121C2211yescharacteristic
269C4×#121C2212yescomplemented
270C4×#121C2211yescharacteristic, complemented
271C4×#121C2211yescharacteristic, complemented
272C4×#120C2212yes—
273C4×#120C2212yes—
274#2297C2212yescomplemented
275#2297C2211yescharacteristic, complemented
276#2296C2212yescomplemented
277#2296C2211yescharacteristic, complemented
278#2293C2212yescomplemented
279C2×#390C2211yescharacteristic
280C2×#389C2211yescharacteristic
281#2290C2212yes—
282#2290C2212yescomplemented
283C2×#388C2212yes—
284C2×#386C2212yes—
285#2285C2211yescharacteristic, complemented
286#2283C2212yes—
287#2283C2212yes—
288#2280C2212yes—
289#2280C2211yescharacteristic
290C2×#380C2211yescharacteristic
291C2×#380C2212yes—
292C2×#380C2212yes—
293#2273C2214yes—
294C42×D4C2212yes—
295C42×D4C2212yescomplemented
296C4×#117C2211yescharacteristic, complemented
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C23×D4C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304C24×C4C2311yescharacteristic
305C24×C4C2311yescharacteristic
306C24×C4C2311yescharacteristic
307#554—44no—
308#547—44no—
309#546—216no—
310#533—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#124C2312yes—
316#525—28no—
317C2×#123C2314yes—
318C2×#123C2312yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2311yescharacteristic
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×#121—28no—
334C2×#121C2314yes—
335C2×#121C2311yescharacteristic
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2311yescharacteristic
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#120C2314yes—
347C2×#120C2312yes—
348C4×#41—44no—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×D4—216no—
355C2×C4×D4—44no—
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2312yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×#117C2311yescharacteristic
385C2×#117C2314yes—
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C22⋊C4C2314yes—
401C22×C22⋊C4C2312yes—
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2312yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C42—44no—
408C22×C42C2312yes—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2311yescharacteristic
412C22×C42C2311yescharacteristic
413C22×C42C2311yescharacteristic
414C22×C42C2312yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2311yescharacteristic
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422#401C2314yes—
423#401C2314yes—
424#401C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#399C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#393C2314yes—
481#393C2314yes—
482#392C2314yes—
483#392C2314yes—
484#392C2314yes—
485#392C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2312yes—
496#391C2314yes—
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#390C2312yes—
500#390C2312yes—
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2314yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2314yes—
521#389C2314yes—
522#389C2312yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2314yes—
539#389C2312yes—
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2312yes—
557#388C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2312yes—
583#388C2312yes—
584#388C2312yes—
585#387C2314yes—
586#387C2314yes—
587#387C2314yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2312yes—
617#387C2312yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2312yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2312yes—
633#386C2312yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2312yes—
652#386C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#383C2314yes—
681#383C2314yes—
682#383C2314yes—
683#383C2314yes—
684#383C2314yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2312yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2314yes—
694#382C2312yes—
695#382C2312yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#381C2314yes—
703#381C2314yes—
704#381C2314yes—
705#381C2312yes—
706#380C2311yescharacteristic
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2311yescharacteristic
735#380C2311yescharacteristic
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2311yescharacteristic
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#379C2312yes—
747#379C2314yes—
748#379C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811#376C2314yes—
812#376C2314yes—
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C43C2312yes—
820C25C2412yes—
821C25C2411yescharacteristic
822C2×#41—28no—
823C2×#41—24no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×D4—28no—
832C22×D4—28no—
833C22×D4—42no—
834C22×D4—42no—
835C22×D4—44no—
836C22×D4#4118yescomplemented
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2412yes—
850C23×C4—24no—
851C23×C4—28no—
852C23×C4—42no—
853C23×C4—42no—
854C23×C4—42no—
855C23×C4—42no—
856C23×C4—42no—
857C23×C4—42no—
858C23×C4—44no—
859C23×C4—44no—
860C23×C4—42no—
861C23×C4#4118yescomplemented
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2411yescharacteristic
894C4⋊Q8—24no—
895C4⋊Q8—24no—
896#125—44no—
897#125—44no—
898#124—28no—
899#123—216no—
900#123—28no—
901#123—48no—
902#123—48no—
903C22⋊Q8—24no—
904C22⋊Q8—24no—
905C22⋊Q8—28no—
906C22⋊Q8—44no—
907C22⋊Q8—48no—
908C22⋊Q8—44no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915#121—24no—
916#121—24no—
917#121—24no—
918#121—24no—
919#121—28no—
920#121—28no—
921#121—28no—
922#121—216no—
923#121—24no—
924#121—24no—
925#121—44no—
926#121—44no—
927#120—28no—
928#120—216no—
929C4×Q8—24no—
930C4×Q8—44no—
931C4×Q8—42no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—28no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—42no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—48no—
960C4×D4—44no—
961C4×D4—44no—
962#117—24no—
963#117—48no—
964#117—44no—
965#117—42no—
966#117—44no—
967#117—44no—
968#117—42no—
969#117—44no—
970C2×C4⋊C4—28no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—44no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—42no—
975C2×C4⋊C4—42no—
976C2×C4⋊C4—44no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C22⋊C4—28no—
1032C2×C22⋊C4—28no—
1033C2×C22⋊C4—216no—
1034C2×C22⋊C4—28no—
1035C2×C22⋊C4—44no—
1036C2×C22⋊C4—44no—
1037C2×C22⋊C4—48no—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C42—28no—
1098C2×C42—24no—
1099C2×C42—24no—
1100C2×C42—24no—
1101C2×C42—44no—
1102C2×C42—42no—
1103C2×C42—42no—
1104C2×C42—42no—
1105C2×C42—42no—
1106C2×C42—42no—
1107C2×C42—42no—
1108C2×C42—42no—
1109C2×C42—42no—
1110C2×C42—42no—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2414yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212C24—22no—
1213C24—22no—
1214C24—24no—
1215C24—24no—
1216C24—41no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—42no—
1221C24—42no—
1222C24—42no—
1223C24—42no—
1224C24C2×#4118yes—
1225C24C2×#4114yes—
1226C24C2512yes—
1227C24C2512yes—
1228C24C2512yes—
1229C24C2511yescharacteristic
1230C24C2511yescharacteristic
1231C24C2511yescharacteristic
1232#41—416no—
1233#41—816no—
1234C2×Q8—22no—
1235C2×Q8—24no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—24no—
1240C2×Q8—22no—
1241C2×Q8—42no—
1242C2×Q8—42no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—28no—
1257C2×D4—28no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—416no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—432no—
1281C2×D4C2×#4114yes—
1282C2×D4C2×#4114yes—
1283C2×D4C2×#4118yes—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—28no—
1301C22×C4—28no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—416no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—42no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—41no—
1343C22×C4—41no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—42no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—44no—
1358C22×C4—42no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—416no—
1375C22×C4—416no—
1376C22×C4—816no—
1377C22×C4C2×#4114yes—
1378C22×C4C2×#4114yes—
1379C22×C4C2×#4114yes—
1380C22×C4C2×#4114yes—
1381C22×C4C2×#4114yes—
1382C22×C4C2×#4114yes—
1383C22×C4C2×#4114yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2514yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—28no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—28no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—28no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C42—24no—
1526C42—24no—
1527C42—24no—
1528C42—24no—
1529C42—24no—
1530C42—24no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—41no—
1544C42—41no—
1545C42—41no—
1546C42—41no—
1547C42—41no—
1548C42—41no—
1549C42—42no—
1550C42—42no—
1551C42—44no—
1552C42—42no—
1553C42—44no—
1554C42—44no—
1555C42—44no—
1556C42—42no—
1557C42—44no—
1558C42—44no—
1559C42H(5,𝔽2)14yes—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—22no—
1565C23—22no—
1566C23—21no—
1567C23—21no—
1568C23—22no—
1569C23—22no—
1570C23—21no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—21no—
1587C23—21no—
1588C23—28no—
1589C23—216no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—44no—
1598C23—44no—
1599C23—48no—
1600C23—48no—
1601C23—44no—
1602C23—44no—
1603C23—44no—
1604C23—44no—
1605C23—84no—
1606C23—84no—
1607C23—84no—
1608C23—84no—
1609C23C22×#4114yes—
1610C23C22×#4112yes—
1611C23C22×#4112yes—
1612C23C22×#4114yes—
1613C23C22×#4112yes—
1614C23C22×#4112yes—
1615C23#58512yes—
1616C23C2611yescharacteristic
1617Q8—44no—
1618Q8—48no—
1619Q8—84no—
1620D4—28no—
1621D4—28no—
1622D4—48no—
1623D4—48no—
1624D4—48no—
1625D4—48no—
1626D4—48no—
1627D4—48no—
1628D4—48no—
1629D4—48no—
1630D4—44no—
1631D4—88no—
1632D4—88no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—28no—
1646C2×C4—28no—
1647C2×C4—28no—
1648C2×C4—28no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—24no—
1691C2×C4—24no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—48no—
1723C2×C4—44no—
1724C2×C4—44no—
1725C2×C4—48no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—48no—
1729C2×C4—48no—
1730C2×C4—48no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—84no—
1734C2×C4—88no—
1735C2×C4—84no—
1736C2×C4—84no—
1737C2×C4—88no—
1738C2×C4—164no—
1739C2×C4—164no—
1740C2×C4C22×#4112yes—
1741C2×C4C22×#4112yes—
1742C2×C4C22×#4112yes—
1743C2×C4C22×#4112yes—
1744C2×C4C22×#4112yes—
1745C2×C4C22×#4112yes—
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4#58512yes—
1750C2×C4#58512yes—
1751C2×C4#58512yes—
1752C22—22no—
1753C22—22no—
1754C22—22no—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—24no—
1761C22—24no—
1762C22—24no—
1763C22—24no—
1764C22—22no—
1765C22—22no—
1766C22—22no—
1767C22—22no—
1768C22—24no—
1769C22—24no—
1770C22—416no—
1771C22—41no—
1772C22—41no—
1773C22—42no—
1774C22—42no—
1775C22—41no—
1776C22—41no—
1777C22—42no—
1778C22—42no—
1779C22—41no—
1780C22—41no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—41no—
1785C22—41no—
1786C22—42no—
1787C22—42no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—816no—
1795C22#347514yes—
1796C22C23×#4111yescharacteristic
1797C22C23×#4111yescharacteristic
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C2×#58511yescharacteristic
1800C22C2×#58511yescharacteristic
1801C22C2×#58511yescharacteristic
1802C22C2×#58511yescharacteristic
1803C4—22no—
1804C4—22no—
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—22no—
1809C4—41no—
1810C4—41no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4—44no—
1816C4—42no—
1817C4—44no—
1818C4—42no—
1819C4—42no—
1820C4—42no—
1821C4—41no—
1822C4—41no—
1823C4—42no—
1824C4—44no—
1825C4—44no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4#350514yes—
1831C4#350514yes—
1832C2—24no—
1833C2—42no—
1834C2—42no—
1835C2—44no—
1836C2—44no—
1837C2—82no—
1838C2C2×#347511yescharacteristic
1839C2C2×#350511yescharacteristic
1840C2C2×#350511yescharacteristic
1841C2#6278111yescharacteristic
1842C2#6281511yescharacteristic
1843C2#6282111yescharacteristic
1844C2#6282711yescharacteristic
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. #59860C2semidirect
2. #59859C2semidirect
3. #59525C2semidirect
4. #59391C2semidirect
5. #59374C2semidirect
6. #59257C2semidirect
7. #59212C2semidirect
8. #59079C2semidirect
9. #59034C2semidirect
10. #40010C2semidirect
11. #40008C2semidirect
12. #39990C2semidirect
13. #39556C2semidirect
14. #39477C2semidirect
15. #39466C2semidirect
16. #36625C2semidirect
17. #36536C2semidirect
18. #36492C2semidirect
19. #36449C2semidirect
20. #36404C2semidirect
21. #36392C2semidirect
22. #36301C2semidirect
23. #36177C2semidirect
24. #36176C2semidirect
25. #36168C2semidirect
26. #36167C2semidirect
27. #36154C2semidirect
28. #36153C2semidirect
29. #35379C2semidirect
30. #35031C2semidirect
31. #35026C2semidirect
32. #34320C2semidirect
33. #34185C2semidirect
34. C4×#525C2semidirect
35. C2×C4×#121C2semidirect
36. C2×#554C22semidirect
37. C2×#547C22semidirect
39. C2×#533C22semidirect
42. C2×C4×#41C22semidirect
46. #2864C22semidirect
47. #2863C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
53. #2855C22semidirect
54. #2855C22semidirect
55. #2855C22semidirect
58. #2851C22semidirect
59. #2851C22semidirect
64. #2787C22semidirect
65. #2782C22semidirect
66. #2781C22semidirect
67. #2779C22semidirect
68. #2778C22semidirect
69. #2778C22semidirect
70. #2770C22semidirect
71. #2750C22semidirect
72. #2749C22semidirect
73. #2746C22semidirect
74. #2728C22semidirect
77. #2696C22semidirect
80. #2655C22semidirect
81. #2652C22semidirect
84. #2602C22semidirect
85. #2602C22semidirect
86. #2600C22semidirect
87. #2600C22semidirect
88. #2600C22semidirect
89. #2598C22semidirect
90. #2597C22semidirect
91. #2595C22semidirect
92. #2585C22semidirect
93. #2578C22semidirect
94. #2578C22semidirect
95. #2578C22semidirect
96. #2578C22semidirect
97. #2577C22semidirect
98. #2577C22semidirect
99. #2576C22semidirect
100. #2576C22semidirect
101. #2575C22semidirect
102. #2573C22semidirect
103. #2573C22semidirect
104. #2573C22semidirect
105. #2571C22semidirect
106. #2571C22semidirect
107. #2568C22semidirect
108. #2563C22semidirect
109. #2563C22semidirect
110. #2562C22semidirect
111. #2547C22semidirect
112. #2538C22semidirect
113. #2537C22semidirect
114. #2536C22semidirect
117. #2533C22semidirect
118. #2532C22semidirect
119. #2531C22semidirect
120. #2530C22semidirect
121. #2530C22semidirect
122. #2527C22semidirect
123. #2516C22semidirect
124. #2514C22semidirect
125. #2514C22semidirect
126. #2513C22semidirect
128. #2510C22semidirect
129. #2509C22semidirect
130. #2509C22semidirect
131. #2508C22semidirect
133. #2504C22semidirect
135. #2503C22semidirect
136. #2495C22semidirect
137. #2495C22semidirect
138. #2495C22semidirect
139. #2495C22semidirect
140. #2494C22semidirect
141. #2494C22semidirect
142. #2494C22semidirect
143. #2494C22semidirect
144. #2494C22semidirect
147. #2493C22semidirect
148. #2490C22semidirect
149. #2489C22semidirect
150. #2489C22semidirect
152. #2487C22semidirect
154. #2486C22semidirect
155. #2485C22semidirect
156. #2485C22semidirect
157. #2485C22semidirect
159. #2477C22semidirect
160. #2477C22semidirect
161. #2470C22semidirect
162. #2463C22semidirect
163. #2458C22semidirect
164. #2457C22semidirect
165. #2454C22semidirect
166. #2453C22semidirect
167. #2450C22semidirect
169. #2442C22semidirect
170. #2442C22semidirect
174. #2427C22semidirect
175. #2425C22semidirect
176. #2421C22semidirect
177. #2421C22semidirect
178. #2421C22semidirect
179. #2421C22semidirect
182. #2420C22semidirect
185. #2417C22semidirect
186. #2416C22semidirect
187. #2415C22semidirect
188. #2415C22semidirect
189. #2415C22semidirect
190. #2414C22semidirect
191. #2414C22semidirect
196. #2407C22semidirect
197. #2407C22semidirect
198. #2374C22semidirect
199. #2369C22semidirect
200. #2367C22semidirect
201. #2365C22semidirect
202. #2363C22semidirect
203. #2363C22semidirect
204. #2361C22semidirect
206. #2360C22semidirect
208. #2357C22semidirect
209. #2356C22semidirect
210. #2355C22semidirect
211. #2354C22semidirect
212. #2353C22semidirect
213. #2353C22semidirect
214. #2353C22semidirect
215. #2353C22semidirect
216. #2353C22semidirect
218. #2352C22semidirect
219. #2352C22semidirect
220. #2352C22semidirect
221. #2352C22semidirect
222. #2352C22semidirect
223. #2352C22semidirect
224. #2352C22semidirect
225. #2352C22semidirect
226. #2349C22semidirect
227. D4×C4⋊C4C22semidirect
228. D4×C4⋊C4C22semidirect
229. #2346C22semidirect
230. #2345C22semidirect
231. #2344C22semidirect
232. #2343C22semidirect
234. #2341C22semidirect
235. #2339C22semidirect
237. #2335C22semidirect
238. #2333C22semidirect
244. C4×#124C22semidirect
249. C4×C22⋊Q8C22semidirect
250. C4×C22⋊Q8C22semidirect
251. C4×C22⋊Q8C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×#123C22semidirect
254. C4×#123C22semidirect
269. C4×#121C22semidirect
270. C4×#121C22semidirect
271. C4×#121C22semidirect
274. #2297C22semidirect
275. #2297C22semidirect
276. #2296C22semidirect
277. #2296C22semidirect
278. #2293C22semidirect
282. #2290C22semidirect
285. #2285C22semidirect
295. C42×D4C22semidirect
296. C4×#117C22semidirect
836. C22×D4#41semidirect
861. C23×C4#41semidirect

Maximal subgroups

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

subgroupindex
#598602
#598592
#595252
#593912
#593742
#592572
#592122
#590792
#590342
#400102
#400082
#399902
#395562
#394772
#394662
#366252
#365362
#364922
#364492
#364042
#363922
#363012
#361772
#361762
#361682
#361672
#361542
#361532
#353792
#350312
#350262
#343202
#341852
C4×#5252
C2×C4×#1212