Finite Group Databasebeta

← #7691312

Subgroups — #7691312

Order 512.

5253 conjugacy classes of subgroups.

The subgroup lattice has 1715 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59499C212yesmaximal, complemented
2#59494C214yesmaximal, complemented
3#59451C211yesmaximal, characteristic, complemented
4#59441C212yesmaximal, complemented
5#59312C211yesmaximal, characteristic, complemented
6#59271C212yesmaximal, complemented
7#59262C211yesmaximal, characteristic, complemented
8#59027C212yesmaximal, complemented
9#45252C212yesmaximal, complemented
10#45021C212yesmaximal, complemented
11#44021C214yesmaximal, complemented
12#43243C214yesmaximal, complemented
13#39481C211yesmaximal, characteristic, complemented
14#39476C212yesmaximal, complemented
15#39076C212yesmaximal, complemented
16#39073C214yesmaximal, complemented
17#38933C211yesmaximal, characteristic, complemented
18#38928C212yesmaximal, complemented
19#36312C211yesmaximal, characteristic, complemented
20#36290C211yesmaximal, characteristic, complemented
21#36274C211yesmaximal, characteristic, complemented
22#36240C212yesmaximal, complemented
23#36232C212yesmaximal, complemented
24#36207C212yesmaximal, complemented
25#36189C211yesmaximal, characteristic, complemented
26D4×C22⋊Q8C211yesmaximal, characteristic, complemented
27#35987C212yesmaximal
28#35858C212yesmaximal, complemented
29#34898C211yesmaximal, characteristic, complemented
30C2×#2423C212yesmaximal, complemented
31#34260C212yesmaximal, complemented
32#34194C211yesmaximal, characteristic, complemented
33#34183C211yesmaximal, characteristic, complemented
34C4×D4×Q8C211yesmaximal, characteristic, complemented
35C4×#546C211yesmaximal, characteristic
36C2×#552C2212yescomplemented
37C2×D4×Q8C2211yescharacteristic
38C2×#546C2211yescharacteristic
39C22×C22⋊Q8C2212yes—
40C2×#520C2212yes—
41C2×C4×#41C2211yescharacteristic
42C22×C4×Q8C2212yescomplemented
43C22×C4×D4C2211yescharacteristic
44#2860C2212yes—
45#2859C2211yescharacteristic, complemented
46#2857C2211yescharacteristic
47#2857C2211yescharacteristic, complemented
48#2855C2212yescomplemented
49#2852C2214yes—
50#2851C2212yescomplemented
51#2848C2212yes—
52#2794C2214yescomplemented
53#2793C2214yescomplemented
54#2791C2214yescomplemented
55#2777C2214yescomplemented
56#2773C2214yescomplemented
57#2773C2214yescomplemented
58#2770C2214yescomplemented
59#2769C2214yescomplemented
60#2768C2214yes—
61#2766C2214yescomplemented
62#2765C2214yescomplemented
63#2762C2214yescomplemented
64#2754C2214yescomplemented
65#2750C2214yes—
66#2741C2214yescomplemented
67#2738C2214yes—
68#2721C2214yescomplemented
69#2721C2214yescomplemented
70#2698C2214yescomplemented
71#2695C2214yescomplemented
72#2687C2214yescomplemented
73#2647C2212yescomplemented
74#2646C2214yescomplemented
75#2624C2212yes—
76#2623C2214yes—
77#2611C2214yes—
78#2606C2214yescomplemented
79#2604C2214yescomplemented
80#2599C2214yescomplemented
81#2596C2214yescomplemented
82#2582C2211yescharacteristic, complemented
83#2577C2212yescomplemented
84#2575C2212yes—
85#2575C2214yescomplemented
86#2571C2211yescharacteristic, complemented
87#2570C2212yescomplemented
88#2570C2211yescharacteristic, complemented
89#2570C2212yescomplemented
90#2569C2214yescomplemented
91#2568C2211yescharacteristic, complemented
92#2565C2212yescomplemented
93#2565C2211yescharacteristic, complemented
94#2562C2211yescharacteristic
95#2558C2214yescomplemented
96#2556C2214yes—
97#2552C2212yescomplemented
98#2552C2211yescharacteristic, complemented
99#2542C2211yescharacteristic
100#2538C2211yescharacteristic
101#2536C2211yescharacteristic
102#2536C2212yescomplemented
103#2532C2214yescomplemented
104#2529C2214yescomplemented
105#2524C2212yescomplemented
106#2520C2214yescomplemented
107#2519C2214yescomplemented
108#2517C2214yes—
109#2515C2214yescomplemented
110#2514C2212yescomplemented
111#2513C2212yes—
112#2513C2212yes—
113#2512C2212yes—
114#2511C2212yescomplemented
115#2510C2214yes—
116#2510C2214yes—
117#2509C2212yescomplemented
118#2508C2212yescomplemented
119#2507C2212yescomplemented
120#2507C2212yescomplemented
121#2507C2212yescomplemented
122#2506C2212yescomplemented
123#2506C2212yescomplemented
124#2505C2214yescomplemented
125#2505C2214yescomplemented
126#2501C2212yes—
127#2499C2212yescomplemented
128#2499C2212yescomplemented
129#2498C2214yes—
130#2497C2212yes—
131#2496C2211yescharacteristic
132#2496C2212yescomplemented
133#2495C2212yes—
134#2495C2212yes—
135#2495C2211yescharacteristic, complemented
136#2494C2212yes—
137#2489C2212yes—
138#2489C2212yescomplemented
139#2487C2212yes—
140#2486C2212yescomplemented
141#2482C2214yes—
142#2481C2214yes—
143#2480C2214yes—
144#2480C2214yes—
145#2480C2214yes—
146#2477C2214yes—
147#2473C2214yescomplemented
148#2473C2214yescomplemented
149#2473C2214yescomplemented
150#2473C2214yescomplemented
151#2468C2212yes—
152#2462C2214yescomplemented
153#2458C2214yescomplemented
154#2452C2212yes—
155#2451C2212yescomplemented
156#2450C2214yescomplemented
157#2449C2214yes—
158#2448C2212yes—
159#2448C2212yes—
160#2443C2214yes—
161#2443C2214yes—
162#2442C2212yescomplemented
163#2442C2214yescomplemented
164#2442C2212yescomplemented
165#2442C2212yescomplemented
166#2441C2212yes—
167#2441C2212yescomplemented
168#2440C2212yes—
169#2439C2212yescomplemented
170#2438C2214yescomplemented
171#2437C2214yes—
172#2423C2212yes—
173#2423C2212yes—
174#2423C2211yescharacteristic
175#2423C2212yes—
176#2423C2214yes—
177#2423C2212yes—
178#2423C2212yes—
179#2423C2214yes—
180#2423C2212yescomplemented
181#2423C2212yescomplemented
182#2423C2212yescomplemented
183#2423C2212yescomplemented
184#2423C2214yescomplemented
185#2423C2214yescomplemented
186#2421C2211yescharacteristic, complemented
187#2418C2214yes—
188#2418C2214yes—
189#2417C2212yes—
190#2417C2212yes—
191#2417C2212yescomplemented
192#2415C2212yescomplemented
193#2413C2214yescomplemented
194#2409C2212yes—
195#2409C2212yescomplemented
196#2402C2212yescomplemented
197#2395C2212yes—
198C2×#399C2214yes—
199C2×#398C2214yescomplemented
200#2373C2214yes—
201#2367C2211yescharacteristic
202#2365C2211yescharacteristic, complemented
203#2365C2212yescomplemented
204#2364C2212yes—
205#2363C2211yescharacteristic
206#2362C2212yescomplemented
207#2362C2212yescomplemented
208#2360C2211yescharacteristic
209#2360C2212yescomplemented
210#2360C2212yescomplemented
211#2360C2214yescomplemented
212#2359C2212yes—
213#2358C2212yes—
214#2356C2212yescomplemented
215#2356C2212yescomplemented
216#2355C2212yescomplemented
217#2354C2211yescharacteristic
218#2354C2211yescharacteristic
219#2353C2214yescomplemented
220#2352C2212yes—
221#2352C2212yes—
222#2352C2212yes—
223#2352C2211yescharacteristic
224#2352C2214yescomplemented
225Q8×C4⋊C4C2211yescharacteristic, complemented
226Q8×C4⋊C4C2211yescharacteristic, complemented
227Q8×C4⋊C4C2212yescomplemented
228Q8×C4⋊C4C2211yescharacteristic, complemented
229#2349C2211yescharacteristic
230#2349C2212yes—
231#2349C2212yes—
232D4×C4⋊C4C2212yes—
233D4×C4⋊C4C2212yes—
234D4×C4⋊C4C2212yes—
235D4×C4⋊C4C2212yes—
236D4×C4⋊C4C2211yescharacteristic
237D4×C4⋊C4C2211yescharacteristic
238D4×C4⋊C4C2211yescharacteristic
239D4×C4⋊C4C2212yescomplemented
240D4×C4⋊C4C2212yescomplemented
241D4×C4⋊C4C2214yescomplemented
242#2346C2212yescomplemented
243#2345C2212yes—
244#2345C2212yescomplemented
245#2344C2212yescomplemented
246#2343C2214yescomplemented
247#2343C2214yescomplemented
248#2342C2214yes—
249#2342C2212yes—
250Q8×C22⋊C4C2212yescomplemented
251#2339C2211yescharacteristic
252#2339C2212yes—
253D4×C22⋊C4C2211yescharacteristic
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256#2320C2212yescomplemented
257#2319C2212yes—
258#2318C2214yes—
259#2318C2214yescomplemented
260#2317C2214yescomplemented
261#2317C2212yescomplemented
262#2314C2212yescomplemented
263#2313C2214yescomplemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2212yescomplemented
266C4×#125C2211yescharacteristic, complemented
267C4×#126C2212yes—
268C4×#124C2211yescharacteristic
269C4×C22⋊Q8C2211yescharacteristic
270C4×C22⋊Q8C2211yescharacteristic
271C4×C22⋊Q8C2212yescomplemented
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×C22⋊Q8C2214yescomplemented
274C4×#123C2212yes—
275C4×#121C2212yes—
276C4×#121C2211yescharacteristic
277C4×#120C2212yes—
278#2298C2212yescomplemented
279#2295C2212yescomplemented
280C2×#391C2212yescomplemented
281C2×#389C2212yescomplemented
282#2290C2214yescomplemented
283C2×#388C2214yes—
284C2×#387C2214yescomplemented
285#2285C2211yescharacteristic
286#2285C2211yescharacteristic, complemented
287#2285C2212yescomplemented
288C2×#384C2212yescomplemented
289C2×#384C2211yescharacteristic, complemented
290#2283C2211yescharacteristic
291#2280C2212yes—
292C2×#380C2212yes—
293#2275C2212yes—
294C42×Q8C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#552—48no—
304D4×Q8—28no—
305#546—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#125C2311yescharacteristic
312C2×#125C2312yes—
313C2×#125C2314yes—
314C2×#125C2312yes—
315C2×#125C2314yes—
316C2×#124C2311yescharacteristic
317C2×#123C2312yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×C22⋊Q8—48no—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×#121C2311yescharacteristic
334C2×#121C2312yes—
335C2×#120C2312yes—
336#520—216no—
337C4×#41—28no—
338C2×C4×Q8—48no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×Q8C2311yescharacteristic
349C2×C4×Q8C2312yes—
350C2×C4×Q8C2314yes—
351C2×C4×D4—28no—
352C2×C4×D4C2312yes—
353C2×C4×D4C2314yes—
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2314yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2312yes—
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2311yescharacteristic
376C2×#117C2314yes—
377C2×#117C2314yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C22×C4⋊C4C2314yes—
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2314yes—
388C22×C4⋊C4C2314yes—
389C22×C4⋊C4C2312yes—
390C22×C4⋊C4C2314yes—
391C22×C4⋊C4C2314yes—
392C22×C4⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2312yes—
395C22×C22⋊C4C2312yes—
396C22×C22⋊C4C2314yes—
397C22×C22⋊C4C2314yes—
398C22×C42C2312yes—
399C22×C42C2311yescharacteristic
400C22×C42C2311yescharacteristic
401C22×C42C2312yes—
402C22×C42C2314yes—
403#401C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2314yes—
410#400C2314yes—
411#400C2312yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#399C2312yes—
422#399C2314yes—
423#399C2314yes—
424#399C2314yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2312yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2312yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#395C2314yes—
474#395C2314yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#393C2314yes—
480#393C2314yes—
481#391C2312yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2311yescharacteristic
486#391C2311yescharacteristic
487#391C2312yes—
488#391C2312yes—
489#391C2311yescharacteristic
490#391C2312yes—
491#391C2312yes—
492#391C2311yescharacteristic
493#391C2312yes—
494#391C2314yes—
495#391C2312yes—
496#391C2314yes—
497#391C2314yes—
498#390C2312yes—
499#390C2312yes—
500#390C2311yescharacteristic
501#390C2312yes—
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2312yes—
505#389C2311yescharacteristic
506#389C2311yescharacteristic
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2314yes—
511#389C2312yes—
512#389C2312yes—
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2311yescharacteristic
517#389C2312yes—
518#389C2312yes—
519#389C2314yes—
520#389C2312yes—
521#389C2312yes—
522#389C2314yes—
523#389C2314yes—
524#389C2314yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2314yes—
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2314yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2314yes—
545#389C2312yes—
546#389C2314yes—
547#388C2312yes—
548#388C2312yes—
549#388C2312yes—
550#388C2312yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2312yes—
560#388C2312yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2314yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2312yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
589#387C2314yes—
590#387C2312yes—
591#387C2314yes—
592#387C2312yes—
593#387C2314yes—
594#387C2314yes—
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#387C2312yes—
612#387C2312yes—
613#387C2314yes—
614#387C2314yes—
615#387C2312yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2312yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#385C2312yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2312yes—
657#385C2314yes—
658#385C2312yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2312yes—
671#385C2312yes—
672#384C2311yescharacteristic
673#384C2312yes—
674#384C2312yes—
675#384C2311yescharacteristic
676#384C2312yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2314yes—
681#384C2311yescharacteristic
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2314yes—
686#384C2312yes—
687#383C2312yes—
688#383C2312yes—
689#383C2314yes—
690#383C2314yes—
691#383C2314yes—
692#382C2311yescharacteristic
693#382C2311yescharacteristic
694#382C2311yescharacteristic
695#382C2312yes—
696#382C2312yes—
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#381C2312yes—
707#381C2314yes—
708#381C2314yes—
709#381C2314yes—
710#381C2312yes—
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2314yes—
723#380C2314yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2311yescharacteristic
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#379C2314yes—
743#379C2314yes—
744#379C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2312yes—
779C4×C22⋊C4C2311yescharacteristic
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2314yes—
810C2×#95C2314yes—
811C2×#95C2314yes—
812C2×#95C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C2×#95C2312yes—
816C43C2312yes—
817C43C2311yescharacteristic
818C25C2412yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41#4118yes—
822C22×Q8—28no—
823C22×Q8—28no—
824C22×Q8—44no—
825C22×Q8C2412yes—
826C22×Q8C2414yes—
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2411yescharacteristic
838C23×C4—28no—
839C23×C4—44no—
840C23×C4—44no—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2412yes—
847C23×C4C2414yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C4⋊Q8—28no—
862C4⋊Q8—24no—
863#126—28no—
864#126—48no—
865#126—84no—
866#125—42no—
867#125—44no—
868#125—48no—
869#125—84no—
870#125—82no—
871#124—24no—
872#123—28no—
873#123—48no—
874#123—84no—
875C22⋊Q8—24no—
876C22⋊Q8—24no—
877C22⋊Q8—28no—
878C22⋊Q8—24no—
879C22⋊Q8—28no—
880C22⋊Q8—216no—
881C22⋊Q8—48no—
882C22⋊Q8—48no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887#121—28no—
888#121—24no—
889#120—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—24no—
893C4×Q8—28no—
894C4×Q8—24no—
895C4×Q8—24no—
896C4×Q8—24no—
897C4×Q8—44no—
898C4×Q8—48no—
899C4×Q8—48no—
900C4×Q8—44no—
901C4×Q8—42no—
902C4×D4—24no—
903C4×D4—24no—
904C4×D4—216no—
905C4×D4—216no—
906C4×D4—28no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—24no—
919C4×D4—24no—
920C4×D4—42no—
921C4×D4—44no—
922C4×D4#4118yes—
923#117—216no—
924#117—28no—
925#117—24no—
926#117—28no—
927#117—48no—
928#117—44no—
929#117—44no—
930#117—82no—
931C2×C4⋊C4—216no—
932C2×C4⋊C4—28no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—44no—
935C2×C4⋊C4—44no—
936C2×C4⋊C4—48no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—48no—
939C2×C4⋊C4—44no—
940C2×C4⋊C4—82no—
941C2×C4⋊C4—84no—
942C2×C4⋊C4—84no—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C22⋊C4—28no—
1018C2×C22⋊C4—28no—
1019C2×C22⋊C4—28no—
1020C2×C22⋊C4—48no—
1021C2×C22⋊C4—84no—
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C42—28no—
1070C2×C42—24no—
1071C2×C42—24no—
1072C2×C42—48no—
1073C2×C42—44no—
1074C2×C42C2412yes—
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2414yes—
1104C2×C42C2414yes—
1105C2×C42C2412yes—
1106C2×C42C2411yescharacteristic
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109#95C2412yes—
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2411yescharacteristic
1142#95C2414yes—
1143#95C2411yescharacteristic
1144#95C2414yes—
1145#95C2414yes—
1146#95C2411yescharacteristic
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185C24—24no—
1186C24—24no—
1187C24—24no—
1188C24—24no—
1189C24—42no—
1190C24—42no—
1191C24—42no—
1192C24C2512yes—
1193C24C2511yescharacteristic
1194C24C2511yescharacteristic
1195C24C2512yes—
1196#41—232no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—28no—
1200C2×Q8—24no—
1201C2×Q8—28no—
1202C2×Q8—24no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—44no—
1207C2×Q8—432no—
1208C2×Q8C2×#4114yes—
1209C2×Q8H(5,𝔽2)14yes—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—22no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—41no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—416no—
1225C2×D4C2×#4118yes—
1226C2×D4C2×#4114yes—
1227C2×D4C2×#4114yes—
1228C2×D42−1+414yes—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—22no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—28no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—24no—
1244C22×C4—28no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—24no—
1251C22×C4—22no—
1252C22×C4—28no—
1253C22×C4—22no—
1254C22×C4—24no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4—42no—
1268C22×C4—41no—
1269C22×C4—44no—
1270C22×C4—44no—
1271C22×C4—42no—
1272C22×C4—44no—
1273C22×C4—44no—
1274C22×C4—44no—
1275C22×C4—42no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—816no—
1287C22×C4C2×#4118yes—
1288C22×C4C2×#4118yes—
1289C22×C4C2×#4114yes—
1290C22×C4C2511yescharacteristic
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2514yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2512yes—
1316C22×C4C2512yes—
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C4⋊C4—24no—
1322C4⋊C4—28no—
1323C4⋊C4—24no—
1324C4⋊C4—22no—
1325C4⋊C4—28no—
1326C4⋊C4—28no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—24no—
1337C4⋊C4—22no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—28no—
1348C4⋊C4—28no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—41no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4C2×#4114yes—
1395C22⋊C4—24no—
1396C22⋊C4—24no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—22no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—22no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—22no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—44no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4C2×#4118yes—
1441C22⋊C42−1+414yes—
1442C42—22no—
1443C42—22no—
1444C42—24no—
1445C42—22no—
1446C42—22no—
1447C42—22no—
1448C42—24no—
1449C42—22no—
1450C42—24no—
1451C42—28no—
1452C42—28no—
1453C42—24no—
1454C42—24no—
1455C42—22no—
1456C42—24no—
1457C42—24no—
1458C42—22no—
1459C42—28no—
1460C42—24no—
1461C42—22no—
1462C42—22no—
1463C42—24no—
1464C42—24no—
1465C42—22no—
1466C42—42no—
1467C42—44no—
1468C42—42no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42—42no—
1474C42—41no—
1475C42—42no—
1476C42C2×#4114yes—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—48no—
1501C23—48no—
1502C23—48no—
1503C23—48no—
1504C23—84no—
1505C23—84no—
1506C23—84no—
1507C23C22×#4112yes—
1508C23C22×#4114yes—
1509C23C22×#4114yes—
1510C23C2×2−1+412yes—
1511C23C2×2−1+414yes—
1512C23C2611yescharacteristic
1513Q8—28no—
1514Q8—28no—
1515Q8—416no—
1516Q8—48no—
1517D4—216no—
1518D4—44no—
1519D4—48no—
1520D4—44no—
1521D4—84no—
1522D4#552116yescomplemented
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—22no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—216no—
1538C2×C4—28no—
1539C2×C4—216no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—24no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—24no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—44no—
1607C2×C4—48no—
1608C2×C4—44no—
1609C2×C4—48no—
1610C2×C4—416no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—48no—
1614C2×C4—44no—
1615C2×C4—84no—
1616C2×C4—84no—
1617C2×C4—88no—
1618C2×C4—88no—
1619C2×C4—88no—
1620C2×C4—84no—
1621C2×C4—88no—
1622C2×C4—84no—
1623C2×C4C22×#4114yes—
1624C2×C4C22×#4112yes—
1625C2×C4C22×#4114yes—
1626C2×C4C22×#4112yes—
1627C2×C4C22×#4112yes—
1628C2×C4C22×#4112yes—
1629C2×C4C22×#4112yes—
1630C2×C4C2×H(5,𝔽2)14yes—
1631C2×C4C2×H(5,𝔽2)12yes—
1632C2×C4C2×2−1+412yes—
1633C2×C4C2×2−1+412yes—
1634C2×C4C2×2−1+412yes—
1635C2×C4#58512yes—
1636C22—24no—
1637C22—24no—
1638C22—24no—
1639C22—24no—
1640C22—24no—
1641C22—24no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—816no—
1664C22C2×#55218yes—
1665C22C23×#4111yescharacteristic
1666C22C23×#4111yescharacteristic
1667C22C22×H(5,𝔽2)11yescharacteristic
1668C22C22×2−1+411yescharacteristic
1669C22C22×2−1+411yescharacteristic
1670C22C2×#58511yescharacteristic
1671C22H(7,𝔽2)11yescharacteristic
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—24no—
1676C4—24no—
1677C4—22no—
1678C4—24no—
1679C4—41no—
1680C4—44no—
1681C4—42no—
1682C4—42no—
1683C4—44no—
1684C4—42no—
1685C4—42no—
1686C4—41no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4—41no—
1693C4—44no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—44no—
1699C4—42no—
1700C4—41no—
1701C4C2×#55214yes—
1702C4#351314yes—
1703C2—28no—
1704C2—42no—
1705C2—42no—
1706C2—82no—
1707C2C22×#55211yescharacteristic
1708C2C2×#351311yescharacteristic
1709C2#6280511yescharacteristic
1710C2#6295111yescharacteristic
1711C2#6298611yescharacteristic
1712C2#6300011yescharacteristic
1713C2#6301611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#546C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59499C2semidirect
2. #59494C2semidirect
3. #59451C2semidirect
4. #59441C2semidirect
5. #59312C2semidirect
6. #59271C2semidirect
7. #59262C2semidirect
8. #59027C2semidirect
9. #45252C2semidirect
10. #45021C2semidirect
11. #44021C2semidirect
12. #43243C2semidirect
13. #39481C2semidirect
14. #39476C2semidirect
15. #39076C2semidirect
16. #39073C2semidirect
17. #38933C2semidirect
18. #38928C2semidirect
19. #36312C2semidirect
20. #36290C2semidirect
21. #36274C2semidirect
22. #36240C2semidirect
23. #36232C2semidirect
24. #36207C2semidirect
25. #36189C2semidirect
26. D4×C22⋊Q8C2semidirect
28. #35858C2semidirect
29. #34898C2semidirect
30. C2×#2423C2semidirect
31. #34260C2semidirect
32. #34194C2semidirect
33. #34183C2semidirect
34. C4×D4×Q8C2semidirect
36. C2×#552C22semidirect
42. C22×C4×Q8C22semidirect
45. #2859C22semidirect
47. #2857C22semidirect
48. #2855C22semidirect
50. #2851C22semidirect
52. #2794C22semidirect
53. #2793C22semidirect
54. #2791C22semidirect
55. #2777C22semidirect
56. #2773C22semidirect
57. #2773C22semidirect
58. #2770C22semidirect
59. #2769C22semidirect
61. #2766C22semidirect
62. #2765C22semidirect
63. #2762C22semidirect
64. #2754C22semidirect
66. #2741C22semidirect
68. #2721C22semidirect
69. #2721C22semidirect
70. #2698C22semidirect
71. #2695C22semidirect
72. #2687C22semidirect
73. #2647C22semidirect
74. #2646C22semidirect
78. #2606C22semidirect
79. #2604C22semidirect
80. #2599C22semidirect
81. #2596C22semidirect
82. #2582C22semidirect
83. #2577C22semidirect
85. #2575C22semidirect
86. #2571C22semidirect
87. #2570C22semidirect
88. #2570C22semidirect
89. #2570C22semidirect
90. #2569C22semidirect
91. #2568C22semidirect
92. #2565C22semidirect
93. #2565C22semidirect
95. #2558C22semidirect
97. #2552C22semidirect
98. #2552C22semidirect
102. #2536C22semidirect
103. #2532C22semidirect
104. #2529C22semidirect
105. #2524C22semidirect
106. #2520C22semidirect
107. #2519C22semidirect
109. #2515C22semidirect
110. #2514C22semidirect
114. #2511C22semidirect
117. #2509C22semidirect
118. #2508C22semidirect
119. #2507C22semidirect
120. #2507C22semidirect
121. #2507C22semidirect
122. #2506C22semidirect
123. #2506C22semidirect
124. #2505C22semidirect
125. #2505C22semidirect
127. #2499C22semidirect
128. #2499C22semidirect
132. #2496C22semidirect
135. #2495C22semidirect
138. #2489C22semidirect
140. #2486C22semidirect
147. #2473C22semidirect
148. #2473C22semidirect
149. #2473C22semidirect
150. #2473C22semidirect
152. #2462C22semidirect
153. #2458C22semidirect
155. #2451C22semidirect
156. #2450C22semidirect
162. #2442C22semidirect
163. #2442C22semidirect
164. #2442C22semidirect
165. #2442C22semidirect
167. #2441C22semidirect
169. #2439C22semidirect
170. #2438C22semidirect
180. #2423C22semidirect
181. #2423C22semidirect
182. #2423C22semidirect
183. #2423C22semidirect
184. #2423C22semidirect
185. #2423C22semidirect
186. #2421C22semidirect
191. #2417C22semidirect
192. #2415C22semidirect
193. #2413C22semidirect
195. #2409C22semidirect
196. #2402C22semidirect
199. C2×#398C22semidirect
202. #2365C22semidirect
203. #2365C22semidirect
206. #2362C22semidirect
207. #2362C22semidirect
209. #2360C22semidirect
210. #2360C22semidirect
211. #2360C22semidirect
214. #2356C22semidirect
215. #2356C22semidirect
216. #2355C22semidirect
219. #2353C22semidirect
224. #2352C22semidirect
225. Q8×C4⋊C4C22semidirect
226. Q8×C4⋊C4C22semidirect
227. Q8×C4⋊C4C22semidirect
228. Q8×C4⋊C4C22semidirect
239. D4×C4⋊C4C22semidirect
240. D4×C4⋊C4C22semidirect
241. D4×C4⋊C4C22semidirect
242. #2346C22semidirect
244. #2345C22semidirect
245. #2344C22semidirect
246. #2343C22semidirect
247. #2343C22semidirect
250. Q8×C22⋊C4C22semidirect
256. #2320C22semidirect
259. #2318C22semidirect
260. #2317C22semidirect
261. #2317C22semidirect
262. #2314C22semidirect
263. #2313C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×#125C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
278. #2298C22semidirect
279. #2295C22semidirect
280. C2×#391C22semidirect
281. C2×#389C22semidirect
282. #2290C22semidirect
284. C2×#387C22semidirect
286. #2285C22semidirect
287. #2285C22semidirect
288. C2×#384C22semidirect
289. C2×#384C22semidirect
294. C42×Q8C22semidirect
1522. D4#552semidirect

Maximal subgroups

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

subgroupindex
#594992
#594942
#594512
#594412
#593122
#592712
#592622
#590272
#452522
#450212
#440212
#432432
#394812
#394762
#390762
#390732
#389332
#389282
#363122
#362902
#362742
#362402
#362322
#362072
#361892
D4×C22⋊Q82
#359872
#358582
#348982
C2×#24232
#342602
#341942
#341832
C4×D4×Q82
C4×#5462