Finite Group Databasebeta

← #7672249

Subgroups — #7672249

Order 512.

5238 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59969C214yesmaximal, complemented
2#59717C212yesmaximal, complemented
3#59703C214yesmaximal, complemented
4#59504C212yesmaximal, complemented
5#59240C212yesmaximal, complemented
6#59224C212yesmaximal, complemented
7#39203C211yesmaximal, characteristic, complemented
8#39194C211yesmaximal, characteristic, complemented
9#38967C211yesmaximal, characteristic, complemented
10#38958C211yesmaximal, characteristic, complemented
11#38591C214yesmaximal, complemented
12#38571C214yesmaximal, complemented
13#38218C212yesmaximal, complemented
14#38207C212yesmaximal, complemented
15#36635C211yesmaximal, characteristic, complemented
16#36586C211yesmaximal, characteristic, complemented
17#36564C211yesmaximal, characteristic, complemented
18#36367C212yesmaximal, complemented
19#36363C212yesmaximal, complemented
20#36301C212yesmaximal, complemented
21#36291C212yesmaximal, complemented
22#36204C212yesmaximal, complemented
23#36160C211yesmaximal, characteristic
24#36108C212yesmaximal, complemented
25D4×C22⋊Q8C211yesmaximal, characteristic, complemented
26#35675C212yesmaximal, complemented
27#35652C212yesmaximal, complemented
28#35260C212yesmaximal, complemented
29#35185C211yesmaximal, characteristic, complemented
30#35170C211yesmaximal, characteristic, complemented
31#34321C211yesmaximal, characteristic, complemented
32#34311C211yesmaximal, characteristic, complemented
33#34203C212yesmaximal, complemented
34C4×#529C211yesmaximal, characteristic, complemented
35C2×#2293C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×D4×Q8C2211yescharacteristic
38C2×#542C2212yescomplemented
39C2×#529C2211yescharacteristic
40C22×C22⋊Q8C2212yes—
41C2×#519C2212yescomplemented
42C22×C4×D4C2211yescharacteristic
43C22×#117C2212yes—
44#2864C2212yescomplemented
45#2864C2212yescomplemented
46#2863C2212yescomplemented
47#2863C2212yescomplemented
48#2862C2211yescharacteristic, complemented
49#2860C2212yes—
50#2859C2211yescharacteristic, complemented
51#2857C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2212yes—
54#2857C2212yescomplemented
55#2855C2212yes—
56#2855C2212yes—
57#2854C2212yes—
58#2851C2212yes—
59#2850C2212yes—
60#2848C2212yes—
61#2847C2212yes—
62#2801C2214yescomplemented
63#2800C2214yescomplemented
64#2800C2214yescomplemented
65#2798C2214yescomplemented
66#2788C2214yescomplemented
67#2777C2214yescomplemented
68#2759C2214yescomplemented
69#2758C2214yescomplemented
70#2756C2214yes—
71#2754C2214yescomplemented
72#2742C2214yescomplemented
73#2741C2214yescomplemented
74#2738C2214yescomplemented
75#2737C2214yes—
76#2700C2214yescomplemented
77#2700C2214yescomplemented
78#2663C2214yescomplemented
79#2650C2214yescomplemented
80#2628C2212yescomplemented
81#2625C2212yescomplemented
82#2624C2212yescomplemented
83#2620C2212yescomplemented
84#2610C2214yes—
85#2604C2214yescomplemented
86#2601C2214yescomplemented
87#2601C2214yescomplemented
88#2596C2214yescomplemented
89#2595C2214yes—
90#2594C2214yescomplemented
91#2592C2214yescomplemented
92#2586C2214yescomplemented
93#2586C2214yescomplemented
94#2585C2214yescomplemented
95#2577C2214yescomplemented
96#2573C2214yescomplemented
97#2571C2212yescomplemented
98#2571C2211yescharacteristic, complemented
99#2570C2212yescomplemented
100#2567C2211yescharacteristic, complemented
101#2563C2211yescharacteristic
102#2563C2212yes—
103#2561C2214yes—
104#2560C2214yescomplemented
105#2551C2211yescharacteristic, complemented
106#2550C2212yescomplemented
107#2549C2214yes—
108#2547C2211yescharacteristic, complemented
109#2542C2211yescharacteristic
110#2538C2211yescharacteristic
111#2537C2211yescharacteristic
112#2532C2214yescomplemented
113#2531C2214yes—
114#2528C2214yescomplemented
115#2527C2214yescomplemented
116#2527C2214yescomplemented
117#2525C2214yescomplemented
118#2523C2214yescomplemented
119#2522C2214yescomplemented
120#2521C2214yescomplemented
121#2516C2214yes—
122#2514C2212yescomplemented
123#2513C2212yes—
124#2513C2212yes—
125#2513C2212yes—
126#2510C2214yes—
127#2509C2212yescomplemented
128#2509C2212yescomplemented
129#2507C2212yescomplemented
130#2507C2212yescomplemented
131#2500C2212yes—
132#2499C2212yescomplemented
133#2496C2212yescomplemented
134#2496C2212yescomplemented
135#2494C2212yescomplemented
136#2494C2212yescomplemented
137#2494C2214yescomplemented
138#2494C2212yescomplemented
139#2493C2214yes—
140#2492C2212yescomplemented
141#2491C2212yes—
142#2490C2212yes—
143#2489C2212yescomplemented
144#2488C2214yes—
145#2487C2212yes—
146#2485C2212yes—
147#2485C2214yescomplemented
148#2481C2214yes—
149#2481C2214yescomplemented
150#2480C2214yes—
151#2479C2214yescomplemented
152#2477C2214yescomplemented
153#2477C2214yescomplemented
154#2477C2214yescomplemented
155#2474C2214yescomplemented
156#2472C2214yes—
157#2472C2214yes—
158#2471C2214yes—
159#2470C2214yescomplemented
160#2469C2214yescomplemented
161#2467C2214yes—
162#2465C2214yescomplemented
163#2459C2214yes—
164#2458C2214yescomplemented
165#2454C2212yes—
166#2452C2212yes—
167#2451C2212yescomplemented
168#2450C2214yes—
169#2449C2214yes—
170#2449C2214yes—
171#2448C2212yescomplemented
172#2442C2212yescomplemented
173#2441C2212yescomplemented
174#2440C2212yes—
175#2440C2212yes—
176#2439C2212yescomplemented
177#2439C2212yescomplemented
178#2439C2212yescomplemented
179#2437C2214yes—
180#2436C2212yescomplemented
181#2427C2212yescomplemented
182#2426C2212yescomplemented
183#2421C2212yescomplemented
184#2421C2212yescomplemented
185#2420C2212yes—
186#2420C2212yes—
187#2420C2212yes—
188#2418C2214yes—
189#2417C2212yes—
190#2414C2212yes—
191#2412C2214yes—
192#2409C2212yes—
193#2408C2212yes—
194#2373C2214yescomplemented
195#2369C2211yescharacteristic, complemented
196#2369C2212yescomplemented
197#2368C2214yes—
198#2367C2214yescomplemented
199#2365C2211yescharacteristic, complemented
200#2365C2212yescomplemented
201#2363C2212yes—
202#2363C2212yes—
203#2362C2214yescomplemented
204#2362C2212yescomplemented
205#2362C2214yescomplemented
206#2362C2214yescomplemented
207#2361C2212yescomplemented
208#2360C2214yes—
209#2360C2214yes—
210#2358C2214yes—
211#2354C2211yescharacteristic
212#2354C2212yes—
213#2354C2211yescharacteristic, complemented
214#2352C2212yes—
215#2352C2212yes—
216#2352C2214yescomplemented
217Q8×C4⋊C4C2211yescharacteristic, complemented
218D4×C4⋊C4C2211yescharacteristic
219D4×C4⋊C4C2212yes—
220#2347C2212yescomplemented
221#2347C2212yescomplemented
222#2347C2212yescomplemented
223#2345C2212yes—
224#2344C2214yescomplemented
225#2344C2214yescomplemented
226#2342C2214yes—
227#2342C2214yes—
228Q8×C22⋊C4C2212yescomplemented
229D4×C22⋊C4C2212yes—
230#2337C2214yescomplemented
231#2324C2212yescomplemented
232#2323C2212yescomplemented
233#2323C2214yescomplemented
234#2323C2212yescomplemented
235#2323C2212yescomplemented
236#2323C2212yescomplemented
237#2323C2212yescomplemented
238#2316C2212yescomplemented
239#2314C2212yescomplemented
240#2310C2212yescomplemented
241C4×C4⋊Q8C2212yescomplemented
242C4×C4⋊Q8C2211yescharacteristic, complemented
243C4×C4⋊Q8C2211yescharacteristic, complemented
244C4×#125C2212yescomplemented
245C4×#125C2211yescharacteristic, complemented
246C4×#125C2211yescharacteristic, complemented
247C4×#126C2212yescomplemented
248C4×#126C2212yescomplemented
249C4×#124C2211yescharacteristic, complemented
250C4×#124C2211yescharacteristic, complemented
251C4×C22⋊Q8C2212yes—
252C4×C22⋊Q8C2212yes—
253C4×C22⋊Q8C2212yes—
254C4×C22⋊Q8C2212yes—
255C4×C22⋊Q8C2211yescharacteristic
256C4×C22⋊Q8C2211yescharacteristic
257C4×#123C2212yes—
258C4×#123C2212yes—
259C4×#121C2212yes—
260C4×#121C2211yescharacteristic
261C4×#121C2211yescharacteristic
262#2298C2212yescomplemented
263#2296C2212yescomplemented
264#2295C2212yescomplemented
265#2295C2212yescomplemented
266#2295C2211yescharacteristic, complemented
267#2293C2211yescharacteristic
268#2293C2212yes—
269#2293C2211yescharacteristic
270#2293C2211yescharacteristic
271#2293C2211yescharacteristic
272#2293C2212yes—
273#2293C2212yes—
274#2293C2212yes—
275#2293C2211yescharacteristic
276#2293C2211yescharacteristic
277#2293C2211yescharacteristic
278#2293C2212yes—
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic, complemented
281C2×#390C2211yescharacteristic
282C2×#390C2211yescharacteristic
283C2×#389C2211yescharacteristic
284C2×#389C2211yescharacteristic
285#2290C2212yes—
286C2×#388C2212yes—
287C2×#388C2212yes—
288#2283C2212yes—
289#2283C2211yescharacteristic
290#2280C2212yes—
291#2274C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×D4C2212yes—
294C42×D4C2211yescharacteristic, complemented
295C4×#117C2212yescomplemented
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C43C2211yescharacteristic
299C23×Q8C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#555—28no—
303D4×Q8—28no—
304#542—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310#529—28no—
311C2×#126C2312yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125C2311yescharacteristic
315C2×#125C2312yes—
316C2×#124C2314yes—
317C2×#124C2311yescharacteristic
318C2×#124C2314yes—
319C2×#124C2312yes—
320C2×#123C2312yes—
321C2×#123C2314yes—
322C2×C22⋊Q8—216no—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×#121C2312yes—
336C2×#121C2311yescharacteristic
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#120C2314yes—
341#519—48no—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2314yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×D4—28no—
352C2×C4×D4C2311yescharacteristic
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2314yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×#117—48no—
368C2×#117C2312yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2312yes—
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2314yes—
377C2×#117C2314yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2314yes—
386C22×C4⋊C4C2311yescharacteristic
387C22×C4⋊C4C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2312yes—
391C22×C22⋊C4C2314yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2312yes—
397C22×C42C2311yescharacteristic
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2311yescharacteristic
403C22×C42C2312yes—
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406#401C2314yes—
407#401C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#399C2314yes—
419#399C2314yes—
420#399C2314yes—
421#399C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#395C2314yes—
449#395C2314yes—
450#395C2314yes—
451#395C2314yes—
452#395C2314yes—
453#394C2314yes—
454#394C2314yes—
455#394C2314yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#393C2314yes—
463#393C2314yes—
464#393C2314yes—
465#393C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#392C2314yes—
470#391C2314yes—
471#391C2314yes—
472#391C2312yes—
473#391C2312yes—
474#391C2311yescharacteristic
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2314yes—
479#391C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2314yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2311yescharacteristic
492#390C2314yes—
493#390C2311yescharacteristic
494#390C2312yes—
495#390C2312yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2311yescharacteristic
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2311yescharacteristic
514#389C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2311yescharacteristic
522#389C2314yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2314yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2314yes—
544#389C2312yes—
545#389C2312yes—
546#389C2312yes—
547#389C2312yes—
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2311yescharacteristic
555#389C2311yescharacteristic
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2311yescharacteristic
563#389C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2312yes—
601#388C2314yes—
602#388C2312yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2312yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2312yes—
629#387C2312yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#383C2312yes—
692#383C2314yes—
693#383C2314yes—
694#383C2314yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2312yes—
703#382C2314yes—
704#381C2312yes—
705#381C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2314yes—
709#380C2312yes—
710#380C2314yes—
711#380C2312yes—
712#380C2314yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2312yes—
731#380C2311yescharacteristic
732#379C2314yes—
733#379C2314yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803#376C2314yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C25C2412yes—
819C22×Q8—28no—
820C22×Q8—28no—
821C22×Q8—44no—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×D4—24no—
828C22×D4—24no—
829C22×D4—42no—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2414yes—
836C22×D4C2414yes—
837C23×C4—28no—
838C23×C4—28no—
839C23×C4—44no—
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C4⋊Q8—28no—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864#126—28no—
865#126—48no—
866#126—48no—
867#125—24no—
868#125—44no—
869#124—24no—
870#124—216no—
871#124—48no—
872#124—44no—
873#123—28no—
874#123—48no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—216no—
879C22⋊Q8—28no—
880C22⋊Q8—216no—
881C22⋊Q8—216no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884C22⋊Q8—48no—
885C22⋊Q8—44no—
886C22⋊Q8#4118yes—
887#121—28no—
888#121—24no—
889#121—28no—
890#121—44no—
891#121—44no—
892#120—48no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—28no—
897C4×Q8—44no—
898C4×Q8—48no—
899C4×Q8—48no—
900C4×Q8—44no—
901C4×Q8—44no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—44no—
914C4×D4—48no—
915C4×D4—44no—
916C4×D4#4118yes—
917#117—28no—
918#117—28no—
919#117—28no—
920#117—28no—
921#117—28no—
922#117—44no—
923#117—44no—
924#117—44no—
925#117—44no—
926#117—44no—
927#117—44no—
928#117—44no—
929#117—48no—
930#117—48no—
931#117—44no—
932#117—44no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—216no—
936C2×C4⋊C4—28no—
937C2×C4⋊C4—42no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C22⋊C4—28no—
1004C2×C22⋊C4—216no—
1005C2×C22⋊C4—44no—
1006C2×C22⋊C4—44no—
1007C2×C22⋊C4—44no—
1008C2×C22⋊C4—44no—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C42—24no—
1063C2×C42—24no—
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42—44no—
1067C2×C42—44no—
1068C2×C42—42no—
1069C2×C42—42no—
1070C2×C42—42no—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2412yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2411yescharacteristic
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2412yes—
1100C2×C42C2412yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186C24—24no—
1187C24—24no—
1188C24—24no—
1189C24—24no—
1190C24—42no—
1191C24—42no—
1192C24—42no—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2512yes—
1196C24C2511yescharacteristic
1197C2×Q8—22no—
1198C2×Q8—28no—
1199C2×Q8—24no—
1200C2×Q8—28no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—24no—
1205C2×Q8—44no—
1206C2×Q8—42no—
1207C2×Q8—42no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—44no—
1211C2×Q8—432no—
1212C2×Q8C2×#4114yes—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—28no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—24no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—416no—
1228C2×D4—42no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4C2×#4114yes—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—28no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—28no—
1271C22×C4—24no—
1272C22×C4—41no—
1273C22×C4—42no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—44no—
1281C22×C4—432no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4C2×#4114yes—
1291C22×C4C2×#4118yes—
1292C22×C42−1+414yes—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2512yes—
1297C22×C4C2514yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2514yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—28no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—28no—
1360C4⋊C4—24no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4C2×#4118yes—
1385C4⋊C4C2×#4114yes—
1386C4⋊C4C2×#4114yes—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—24no—
1392C22⋊C4—24no—
1393C22⋊C4—28no—
1394C22⋊C4—24no—
1395C22⋊C4—24no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—42no—
1413C22⋊C4—42no—
1414C22⋊C4—42no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—42no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4C2×#4118yes—
1439C22⋊C4C2×#4118yes—
1440C42—22no—
1441C42—22no—
1442C42—22no—
1443C42—22no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—28no—
1448C42—24no—
1449C42—24no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—28no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—41no—
1469C42—42no—
1470C42—41no—
1471C42—41no—
1472C42—42no—
1473C42—41no—
1474C42—41no—
1475C42—41no—
1476C42—41no—
1477C42—41no—
1478C42—42no—
1479C42—42no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C42—44no—
1484C42—42no—
1485C42—44no—
1486C42—44no—
1487C42C2×#4114yes—
1488C42H(5,𝔽2)14yes—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—48no—
1514C23—48no—
1515C23—48no—
1516C23—48no—
1517C23—84no—
1518C23—84no—
1519C23—84no—
1520C23C22×#4114yes—
1521C23C22×#4112yes—
1522C23C2×2−1+412yes—
1523C23#58512yes—
1524C23C2611yescharacteristic
1525Q8—28no—
1526Q8—416no—
1527Q8—48no—
1528Q8—84no—
1529Q8—164no—
1530D4—28no—
1531D4—48no—
1532D4—48no—
1533D4—44no—
1534D4—44no—
1535D4—88no—
1536D4—164no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—28no—
1556C2×C4—216no—
1557C2×C4—28no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—24no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—48no—
1619C2×C4—48no—
1620C2×C4—44no—
1621C2×C4—44no—
1622C2×C4—44no—
1623C2×C4—44no—
1624C2×C4—48no—
1625C2×C4—48no—
1626C2×C4—416no—
1627C2×C4—44no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—88no—
1631C2×C4—84no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4C22×#4114yes—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4114yes—
1638C2×C4C22×#4114yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×2−1+412yes—
1646C2×C4C2×2−1+412yes—
1647C2×C4#58512yes—
1648C2×C4#58512yes—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—24no—
1656C22—24no—
1657C22—24no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—816no—
1677C22#351814yes—
1678C22C23×#4111yescharacteristic
1679C22C23×#4111yescharacteristic
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C22×2−1+411yescharacteristic
1682C22C2×#58511yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—24no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—24no—
1693C4—24no—
1694C4—41no—
1695C4—41no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—41no—
1700C4—44no—
1701C4—41no—
1702C4—44no—
1703C4—41no—
1704C4—42no—
1705C4—42no—
1706C4—42no—
1707C4—44no—
1708C4—42no—
1709C4—41no—
1710C4—42no—
1711C4—42no—
1712C4—42no—
1713C4—44no—
1714C4#348114yes—
1715C4#349514yes—
1716C2—24no—
1717C2—44no—
1718C2—82no—
1719C2—82no—
1720C2C2×#348111yescharacteristic
1721C2C2×#351811yescharacteristic
1722C2C2×#349511yescharacteristic
1723C2#6281011yescharacteristic
1724C2#6281611yescharacteristic
1725C2#6283011yescharacteristic
1726C2#6283511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36160C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59969C2semidirect
2. #59717C2semidirect
3. #59703C2semidirect
4. #59504C2semidirect
5. #59240C2semidirect
6. #59224C2semidirect
7. #39203C2semidirect
8. #39194C2semidirect
9. #38967C2semidirect
10. #38958C2semidirect
11. #38591C2semidirect
12. #38571C2semidirect
13. #38218C2semidirect
14. #38207C2semidirect
15. #36635C2semidirect
16. #36586C2semidirect
17. #36564C2semidirect
18. #36367C2semidirect
19. #36363C2semidirect
20. #36301C2semidirect
21. #36291C2semidirect
22. #36204C2semidirect
24. #36108C2semidirect
25. D4×C22⋊Q8C2semidirect
26. #35675C2semidirect
27. #35652C2semidirect
28. #35260C2semidirect
29. #35185C2semidirect
30. #35170C2semidirect
31. #34321C2semidirect
32. #34311C2semidirect
33. #34203C2semidirect
34. C4×#529C2semidirect
35. C2×#2293C2semidirect
38. C2×#542C22semidirect
41. C2×#519C22semidirect
44. #2864C22semidirect
45. #2864C22semidirect
46. #2863C22semidirect
47. #2863C22semidirect
48. #2862C22semidirect
50. #2859C22semidirect
54. #2857C22semidirect
62. #2801C22semidirect
63. #2800C22semidirect
64. #2800C22semidirect
65. #2798C22semidirect
66. #2788C22semidirect
67. #2777C22semidirect
68. #2759C22semidirect
69. #2758C22semidirect
71. #2754C22semidirect
72. #2742C22semidirect
73. #2741C22semidirect
74. #2738C22semidirect
76. #2700C22semidirect
77. #2700C22semidirect
78. #2663C22semidirect
79. #2650C22semidirect
80. #2628C22semidirect
81. #2625C22semidirect
82. #2624C22semidirect
83. #2620C22semidirect
85. #2604C22semidirect
86. #2601C22semidirect
87. #2601C22semidirect
88. #2596C22semidirect
90. #2594C22semidirect
91. #2592C22semidirect
92. #2586C22semidirect
93. #2586C22semidirect
94. #2585C22semidirect
95. #2577C22semidirect
96. #2573C22semidirect
97. #2571C22semidirect
98. #2571C22semidirect
99. #2570C22semidirect
100. #2567C22semidirect
104. #2560C22semidirect
105. #2551C22semidirect
106. #2550C22semidirect
108. #2547C22semidirect
112. #2532C22semidirect
114. #2528C22semidirect
115. #2527C22semidirect
116. #2527C22semidirect
117. #2525C22semidirect
118. #2523C22semidirect
119. #2522C22semidirect
120. #2521C22semidirect
122. #2514C22semidirect
127. #2509C22semidirect
128. #2509C22semidirect
129. #2507C22semidirect
130. #2507C22semidirect
132. #2499C22semidirect
133. #2496C22semidirect
134. #2496C22semidirect
135. #2494C22semidirect
136. #2494C22semidirect
137. #2494C22semidirect
138. #2494C22semidirect
140. #2492C22semidirect
143. #2489C22semidirect
147. #2485C22semidirect
149. #2481C22semidirect
151. #2479C22semidirect
152. #2477C22semidirect
153. #2477C22semidirect
154. #2477C22semidirect
155. #2474C22semidirect
159. #2470C22semidirect
160. #2469C22semidirect
162. #2465C22semidirect
164. #2458C22semidirect
167. #2451C22semidirect
171. #2448C22semidirect
172. #2442C22semidirect
173. #2441C22semidirect
176. #2439C22semidirect
177. #2439C22semidirect
178. #2439C22semidirect
180. #2436C22semidirect
181. #2427C22semidirect
182. #2426C22semidirect
183. #2421C22semidirect
184. #2421C22semidirect
194. #2373C22semidirect
195. #2369C22semidirect
196. #2369C22semidirect
198. #2367C22semidirect
199. #2365C22semidirect
200. #2365C22semidirect
203. #2362C22semidirect
204. #2362C22semidirect
205. #2362C22semidirect
206. #2362C22semidirect
207. #2361C22semidirect
213. #2354C22semidirect
216. #2352C22semidirect
217. Q8×C4⋊C4C22semidirect
220. #2347C22semidirect
221. #2347C22semidirect
222. #2347C22semidirect
224. #2344C22semidirect
225. #2344C22semidirect
228. Q8×C22⋊C4C22semidirect
230. #2337C22semidirect
231. #2324C22semidirect
232. #2323C22semidirect
233. #2323C22semidirect
234. #2323C22semidirect
235. #2323C22semidirect
236. #2323C22semidirect
237. #2323C22semidirect
238. #2316C22semidirect
239. #2314C22semidirect
240. #2310C22semidirect
241. C4×C4⋊Q8C22semidirect
242. C4×C4⋊Q8C22semidirect
243. C4×C4⋊Q8C22semidirect
244. C4×#125C22semidirect
245. C4×#125C22semidirect
246. C4×#125C22semidirect
247. C4×#126C22semidirect
248. C4×#126C22semidirect
249. C4×#124C22semidirect
250. C4×#124C22semidirect
262. #2298C22semidirect
263. #2296C22semidirect
264. #2295C22semidirect
265. #2295C22semidirect
266. #2295C22semidirect
280. #2293C22semidirect
291. #2274C22semidirect
292. C42×Q8C22semidirect
294. C42×D4C22semidirect
295. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#599692
#597172
#597032
#595042
#592402
#592242
#392032
#391942
#389672
#389582
#385912
#385712
#382182
#382072
#366352
#365862
#365642
#363672
#363632
#363012
#362912
#362042
#361602
#361082
D4×C22⋊Q82
#356752
#356522
#352602
#351852
#351702
#343212
#343112
#342032
C4×#5292
C2×#22932