Finite Group Databasebeta

← #7806329

Subgroups — #7806329

Order 512.

4906 conjugacy classes of subgroups.

The subgroup lattice has 1735 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59288C212yesmaximal, complemented
2#59272C212yesmaximal, complemented
3#59258C211yesmaximal, characteristic, complemented
4#59257C211yesmaximal, characteristic, complemented
5#59244C211yesmaximal, characteristic, complemented
6#59243C211yesmaximal, characteristic, complemented
7#59240C212yesmaximal, complemented
8#59230C211yesmaximal, characteristic, complemented
9#59227C211yesmaximal, characteristic, complemented
10#59224C212yesmaximal, complemented
11#59214C211yesmaximal, characteristic, complemented
12#59211C211yesmaximal, characteristic, complemented
13#59203C212yesmaximal, complemented
14#59197C212yesmaximal, complemented
15#59025C212yesmaximal, complemented
16#59014C212yesmaximal, complemented
17#47701C214yesmaximal, complemented
18#47696C214yesmaximal, complemented
19#42694C212yesmaximal, complemented
20#42691C212yesmaximal, complemented
21#42690C212yesmaximal, complemented
22#42687C212yesmaximal, complemented
23#42012C214yesmaximal, complemented
24#37623C211yesmaximal, characteristic, complemented
25#36065C212yesmaximal, complemented
26#36044C212yesmaximal, complemented
27#35952C212yesmaximal, complemented
28#35855C212yesmaximal, complemented
29#35824C214yesmaximal, complemented
30#34971C211yesmaximal, characteristic, complemented
31#34963C211yesmaximal, characteristic
32C2×#2538C211yesmaximal, characteristic, complemented
33#34196C211yesmaximal, characteristic, complemented
34#34194C211yesmaximal, characteristic, complemented
35#34188C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#552C2212yescomplemented
38C22×C22⋊Q8C2212yes—
39C2×C4×#41C2211yescharacteristic
40C22×C4×Q8C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#2843C2214yescomplemented
43#2831C2214yescomplemented
44#2829C2214yescomplemented
45#2786C2214yescomplemented
46#2784C2214yescomplemented
47#2781C2214yescomplemented
48#2780C2214yescomplemented
49#2779C2214yescomplemented
50#2777C2214yescomplemented
51#2773C2214yescomplemented
52#2767C2214yescomplemented
53#2761C2214yes—
54#2758C2214yescomplemented
55#2756C2214yes—
56#2753C2214yes—
57#2750C2214yescomplemented
58#2747C2214yescomplemented
59#2744C2214yescomplemented
60#2741C2214yescomplemented
61#2737C2214yes—
62#2737C2214yescomplemented
63#2715C2214yescomplemented
64#2702C2214yescomplemented
65#2700C2214yescomplemented
66#2695C2214yescomplemented
67#2690C2214yescomplemented
68#2689C2214yescomplemented
69#2665C2214yescomplemented
70#2662C2214yescomplemented
71#2660C2212yescomplemented
72#2660C2212yescomplemented
73#2654C2214yescomplemented
74#2650C2214yescomplemented
75#2650C2214yescomplemented
76#2648C2214yescomplemented
77#2647C2212yescomplemented
78#2647C2212yescomplemented
79#2627C2214yes—
80#2610C2214yes—
81#2604C2214yescomplemented
82#2599C2212yescomplemented
83#2599C2212yescomplemented
84#2598C2212yes—
85#2598C2212yes—
86#2597C2214yes—
87#2594C2214yescomplemented
88#2587C2214yescomplemented
89#2581C2211yescharacteristic, complemented
90#2581C2211yescharacteristic, complemented
91#2580C2211yescharacteristic
92#2580C2211yescharacteristic
93#2574C2214yescomplemented
94#2574C2214yescomplemented
95#2574C2214yescomplemented
96#2573C2214yescomplemented
97#2571C2211yescharacteristic, complemented
98#2571C2212yescomplemented
99#2570C2212yescomplemented
100#2569C2214yescomplemented
101#2566C2212yes—
102#2563C2212yes—
103#2563C2212yescomplemented
104#2562C2212yescomplemented
105#2561C2214yes—
106#2560C2214yescomplemented
107#2554C2214yes—
108#2554C2214yescomplemented
109#2552C2211yescharacteristic, complemented
110#2552C2211yescharacteristic, complemented
111#2551C2211yescharacteristic, complemented
112#2538C2212yes—
113#2538C2211yescharacteristic
114#2538C2211yescharacteristic
115#2538C2214yes—
116#2538C2211yescharacteristic
117#2538C2211yescharacteristic
118#2538C2212yes—
119#2538C2212yes—
120#2538C2212yes—
121#2538C2212yescomplemented
122#2536C2212yescomplemented
123#2536C2211yescharacteristic, complemented
124#2536C2211yescharacteristic, complemented
125#2535C2211yescharacteristic
126#2535C2211yescharacteristic
127#2533C2214yescomplemented
128#2531C2214yes—
129#2531C2214yescomplemented
130#2529C2214yescomplemented
131#2528C2214yescomplemented
132#2525C2214yescomplemented
133#2525C2214yescomplemented
134#2522C2214yescomplemented
135#2519C2214yescomplemented
136#2519C2214yescomplemented
137#2515C2214yescomplemented
138#2513C2212yes—
139#2513C2212yes—
140#2513C2212yes—
141#2512C2212yes—
142#2510C2214yescomplemented
143#2509C2212yescomplemented
144#2509C2212yescomplemented
145#2508C2212yescomplemented
146#2506C2212yescomplemented
147#2503C2212yescomplemented
148#2500C2212yes—
149#2500C2212yes—
150#2499C2212yescomplemented
151#2498C2214yes—
152#2497C2212yescomplemented
153#2496C2212yescomplemented
154#2496C2212yescomplemented
155#2495C2212yescomplemented
156#2495C2212yescomplemented
157#2495C2212yescomplemented
158#2494C2212yescomplemented
159#2494C2212yescomplemented
160#2493C2214yes—
161#2492C2212yescomplemented
162#2491C2212yes—
163#2490C2212yes—
164#2489C2212yescomplemented
165#2488C2214yes—
166#2488C2214yescomplemented
167#2487C2211yescharacteristic
168#2487C2211yescharacteristic
169#2487C2212yescomplemented
170#2486C2211yescharacteristic
171#2486C2211yescharacteristic
172#2485C2212yescomplemented
173#2485C2212yescomplemented
174#2485C2212yescomplemented
175#2484C2212yes—
176#2482C2212yes—
177#2481C2214yes—
178#2481C2214yes—
179#2480C2214yes—
180#2475C2214yescomplemented
181#2472C2214yes—
182#2469C2214yescomplemented
183#2465C2214yescomplemented
184#2442C2212yes—
185#2442C2214yes—
186#2442C2212yes—
187#2442C2212yescomplemented
188#2441C2212yescomplemented
189#2440C2212yes—
190#2440C2212yes—
191#2439C2212yescomplemented
192#2439C2212yescomplemented
193#2438C2214yescomplemented
194#2422C2212yes—
195#2421C2212yescomplemented
196#2421C2212yescomplemented
197#2420C2212yes—
198#2417C2212yescomplemented
199#2415C2212yescomplemented
200#2415C2212yescomplemented
201#2415C2212yescomplemented
202#2412C2214yes—
203#2412C2214yes—
204#2411C2214yes—
205#2409C2211yescharacteristic
206#2409C2211yescharacteristic
207#2408C2211yescharacteristic
208#2408C2211yescharacteristic
209#2406C2212yes—
210#2404C2212yes—
211#2401C2214yescomplemented
212#2399C2212yescomplemented
213#2398C2212yes—
214#2398C2212yescomplemented
215#2397C2212yes—
216#2396C2214yescomplemented
217C2×#396C2214yes—
218#2370C2212yescomplemented
219#2365C2212yescomplemented
220#2363C2212yes—
221#2363C2212yes—
222#2362C2212yescomplemented
223#2360C2214yes—
224#2360C2212yescomplemented
225#2357C2212yes—
226#2355C2212yescomplemented
227#2355C2211yescharacteristic, complemented
228#2355C2211yescharacteristic, complemented
229#2355C2212yescomplemented
230#2355C2212yescomplemented
231#2355C2212yescomplemented
232#2354C2211yescharacteristic
233#2354C2212yes—
234#2354C2211yescharacteristic
235#2354C2212yescomplemented
236#2354C2212yescomplemented
237#2354C2212yescomplemented
238#2352C2212yes—
239#2352C2212yes—
240#2352C2212yes—
241#2352C2212yes—
242#2352C2212yes—
243#2352C2212yes—
244#2352C2212yescomplemented
245Q8×C4⋊C4C2211yescharacteristic, complemented
246Q8×C4⋊C4C2211yescharacteristic, complemented
247D4×C4⋊C4C2211yescharacteristic
248D4×C4⋊C4C2211yescharacteristic
249#2347C2212yescomplemented
250#2346C2212yescomplemented
251#2346C2212yescomplemented
252#2345C2212yes—
253#2345C2212yescomplemented
254#2344C2214yes—
255#2344C2212yes—
256#2343C2214yes—
257#2342C2214yes—
258#2342C2214yes—
259#2342C2214yes—
260Q8×C22⋊C4C2212yes—
261D4×C22⋊C4C2212yes—
262#2320C2214yescomplemented
263#2320C2212yescomplemented
264#2319C2212yes—
265#2318C2214yes—
266#2314C2212yescomplemented
267#2314C2212yescomplemented
268#2311C2212yes—
269C4×C22⋊Q8C2211yescharacteristic, complemented
270C4×C22⋊Q8C2211yescharacteristic, complemented
271C4×C22⋊Q8C2211yescharacteristic, complemented
272C4×C22⋊Q8C2211yescharacteristic, complemented
273C4×#123C2212yes—
274C4×#123C2212yes—
275C4×#121C2211yescharacteristic
276C4×#121C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2211yescharacteristic
279C4×#120C2212yes—
280C4×#120C2212yes—
281C2×#390C2212yes—
282C2×#389C2212yes—
283#2285C2212yes—
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic, complemented
286#2285C2211yescharacteristic, complemented
287#2285C2211yescharacteristic, complemented
288#2285C2211yescharacteristic, complemented
289C2×#384C2211yescharacteristic
290#2283C2212yes—
291#2283C2211yescharacteristic
292#2283C2211yescharacteristic
293#2280C2212yes—
294C2×#380C2212yes—
295C2×#380C2212yes—
296#2276C2212yescomplemented
297#2275C2212yes—
298#2274C2212yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#556—48no—
304#552—48no—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2314yes—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#125C2314yes—
313C2×#124C2314yes—
314C2×#123C2312yes—
315C2×#123C2312yes—
316C2×#123C2314yes—
317C2×C22⋊Q8—48no—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2311yescharacteristic
321C2×C22⋊Q8C2311yescharacteristic
322C2×C22⋊Q8C2314yes—
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2311yescharacteristic
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×#121C2311yescharacteristic
330C2×#121C2311yescharacteristic
331C2×#121C2311yescharacteristic
332C2×#121C2311yescharacteristic
333C2×#120C2312yes—
334C2×#120C2312yes—
335C4×#41—28no—
336C2×C4×Q8—28no—
337C2×C4×Q8C2311yescharacteristic
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2311yescharacteristic
341C2×C4×Q8C2311yescharacteristic
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2311yescharacteristic
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2314yes—
348C2×C4×D4—28no—
349C2×C4×D4C2312yes—
350C2×C4×D4C2311yescharacteristic
351C2×C4×D4C2311yescharacteristic
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2312yes—
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2311yescharacteristic
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2311yescharacteristic
370C2×#117C2312yes—
371C2×#117C2314yes—
372C2×#117C2314yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2312yes—
383C22×C4⋊C4C2312yes—
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2314yes—
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2314yes—
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2314yes—
392C22×C42C2312yes—
393C22×C42C2311yescharacteristic
394C22×C42C2311yescharacteristic
395C22×C42C2311yescharacteristic
396#401C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2312yes—
411#400C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#399C2314yes—
418#399C2312yes—
419#399C2312yes—
420#399C2312yes—
421#399C2312yes—
422#398C2314yes—
423#398C2312yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2314yes—
468#395C2312yes—
469#395C2314yes—
470#395C2314yes—
471#395C2312yes—
472#395C2314yes—
473#395C2312yes—
474#395C2312yes—
475#395C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2314yes—
486#394C2312yes—
487#394C2314yes—
488#393C2312yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2312yes—
494#393C2312yes—
495#393C2312yes—
496#392C2312yes—
497#392C2312yes—
498#392C2312yes—
499#392C2312yes—
500#391C2314yes—
501#391C2314yes—
502#391C2314yes—
503#391C2314yes—
504#391C2312yes—
505#391C2312yes—
506#391C2314yes—
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2311yescharacteristic
510#391C2311yescharacteristic
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2314yes—
515#390C2311yescharacteristic
516#390C2312yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2314yes—
523#390C2314yes—
524#390C2314yes—
525#390C2312yes—
526#390C2312yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2311yescharacteristic
530#389C2312yes—
531#389C2312yes—
532#389C2314yes—
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2314yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2314yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2312yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#386C2312yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2312yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2312yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2312yes—
661#385C2312yes—
662#385C2312yes—
663#385C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2314yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2311yescharacteristic
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2311yescharacteristic
685#383C2314yes—
686#383C2312yes—
687#383C2312yes—
688#383C2314yes—
689#383C2314yes—
690#382C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2312yes—
694#382C2312yes—
695#382C2312yes—
696#382C2314yes—
697#382C2312yes—
698#382C2314yes—
699#382C2311yescharacteristic
700#382C2311yescharacteristic
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#381C2312yes—
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2314yes—
715#380C2311yescharacteristic
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2314yes—
720#380C2314yes—
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2311yescharacteristic
738#380C2311yescharacteristic
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2311yescharacteristic
748#380C2312yes—
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#379C2312yes—
755#379C2314yes—
756#379C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2312yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810#376C2312yes—
811#376C2314yes—
812#376C2312yes—
813#376C2314yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C25C2412yes—
817C2×#41—24no—
818C2×#41—42no—
819C2×#41—42no—
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8—42no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2412yes—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—42no—
831C22×D4C2411yescharacteristic
832C22×D4C2411yescharacteristic
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C23×C4—28no—
842C23×C4—44no—
843C23×C4—44no—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865#126—48no—
866#126—48no—
867#126—48no—
868#125—44no—
869#125—44no—
870#125—48no—
871#124—48no—
872#123—48no—
873#123—44no—
874#123—44no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—24no—
878C22⋊Q8—24no—
879C22⋊Q8—48no—
880C22⋊Q8—48no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—42no—
885C22⋊Q8—42no—
886#121—24no—
887#121—24no—
888#121—42no—
889#121—42no—
890#120—44no—
891#120—44no—
892C4×Q8—28no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—28no—
896C4×Q8—24no—
897C4×Q8—24no—
898C4×Q8—28no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—48no—
902C4×Q8—44no—
903C4×D4—28no—
904C4×D4—24no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—24no—
913C4×D4—24no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—44no—
917C4×D4—44no—
918C4×D4—44no—
919C4×D4—44no—
920C4×D4—44no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—48no—
925#117—44no—
926#117—48no—
927#117—44no—
928#117—44no—
929#117—44no—
930#117—44no—
931#117—44no—
932#117—44no—
933C2×C4⋊C4—24no—
934C2×C4⋊C4—24no—
935C2×C4⋊C4—28no—
936C2×C4⋊C4—44no—
937C2×C4⋊C4—44no—
938C2×C4⋊C4—44no—
939C2×C4⋊C4—48no—
940C2×C4⋊C4—44no—
941C2×C4⋊C4—44no—
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C22⋊C4—28no—
1013C2×C22⋊C4—48no—
1014C2×C22⋊C4—48no—
1015C2×C22⋊C4—48no—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2411yescharacteristic
1028C2×C22⋊C4C2411yescharacteristic
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C42—28no—
1074C2×C42—24no—
1075C2×C42—24no—
1076C2×C42#4118yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2411yescharacteristic
1085C2×C42C2411yescharacteristic
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2414yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106#95C2412yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178C24—24no—
1179C24—24no—
1180C24—24no—
1181C24—24no—
1182C24—42no—
1183C24—42no—
1184C24—42no—
1185C24C2512yes—
1186C24C2511yescharacteristic
1187C24C2511yescharacteristic
1188C24C2512yes—
1189C24C2511yescharacteristic
1190#41—416no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—22no—
1194C2×Q8—22no—
1195C2×Q8—24no—
1196C2×Q8—22no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—42no—
1200C2×Q8—41no—
1201C2×Q8—41no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—44no—
1205C2×Q8—416no—
1206C2×Q8H(5,𝔽2)14yes—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—24no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—22no—
1217C2×D4—24no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—416no—
1224C2×D4—42no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—42no—
1228C2×D4—42no—
1229C2×D4—42no—
1230C2×D4—42no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—42no—
1234C2×D4—42no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D42−1+414yes—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—24no—
1247C22×C4—24no—
1248C22×C4—24no—
1249C22×C4—28no—
1250C22×C4—28no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—42no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—816no—
1293C22×C4C2×#4114yes—
1294C22×C4C2×#4114yes—
1295C22×C4C2×#4114yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2514yes—
1306C22×C4C2514yes—
1307C22×C4C2512yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2514yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—28no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—28no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—22no—
1413C22⋊C4—22no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—24no—
1460C42—24no—
1461C42—24no—
1462C42—24no—
1463C42—28no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—44no—
1469C42—44no—
1470C42—44no—
1471C42—44no—
1472C42—44no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C42—44no—
1478C42C2×#4114yes—
1479C42C2×#4114yes—
1480C42C2×#4114yes—
1481C42C2×#4114yes—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—21no—
1493C23—21no—
1494C23—22no—
1495C23—21no—
1496C23—21no—
1497C23—22no—
1498C23—21no—
1499C23—21no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—22no—
1511C23—21no—
1512C23—21no—
1513C23—48no—
1514C23—48no—
1515C23—48no—
1516C23—48no—
1517C23—84no—
1518C23—84no—
1519C23—84no—
1520C23C22×#4112yes—
1521C23C2×2−1+414yes—
1522C23#58512yes—
1523C23#58512yes—
1524C23C2611yescharacteristic
1525Q8—28no—
1526Q8—48no—
1527Q8—44no—
1528Q8—44no—
1529Q8—88no—
1530D4—28no—
1531D4—48no—
1532D4—44no—
1533D4—44no—
1534D4—44no—
1535D4—44no—
1536D4—84no—
1537D4—84no—
1538D4—84no—
1539D4—84no—
1540C2×C4—22no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—28no—
1551C2×C4—28no—
1552C2×C4—28no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—24no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—24no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—48no—
1626C2×C4—44no—
1627C2×C4—44no—
1628C2×C4—48no—
1629C2×C4—48no—
1630C2×C4—44no—
1631C2×C4—44no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4—88no—
1635C2×C4—88no—
1636C2×C4—84no—
1637C2×C4—164no—
1638C2×C4C22×#4112yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4C22×#4112yes—
1642C2×C4C22×#4112yes—
1643C2×C4C22×#4112yes—
1644C2×C4C2×H(5,𝔽2)14yes—
1645C2×C4C2×H(5,𝔽2)12yes—
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—41no—
1663C22—41no—
1664C22—42no—
1665C22—41no—
1666C22—42no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—42no—
1671C22—41no—
1672C22—42no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—42no—
1677C22—42no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—42no—
1683C22—816no—
1684C22#349314yes—
1685C22C23×#4111yescharacteristic
1686C22C22×H(5,𝔽2)11yescharacteristic
1687C22C22×2−1+411yescharacteristic
1688C22C2×#58511yescharacteristic
1689C22C2×#58511yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22C2×#58511yescharacteristic
1692C4—22no—
1693C4—22no—
1694C4—22no—
1695C4—24no—
1696C4—22no—
1697C4—44no—
1698C4—42no—
1699C4—42no—
1700C4—44no—
1701C4—44no—
1702C4—42no—
1703C4—42no—
1704C4—42no—
1705C4—42no—
1706C4—44no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—42no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—42no—
1716C4—42no—
1717C4—42no—
1718C4—41no—
1719C4—41no—
1720C4#349414yes—
1721C4#349514yes—
1722C2—24no—
1723C2—44no—
1724C2—81no—
1725C2—81no—
1726C2—82no—
1727C2C2×#349311yescharacteristic
1728C2C2×#349411yescharacteristic
1729C2C2×#349511yescharacteristic
1730C2#6301511yescharacteristic
1731C2#6301911yescharacteristic
1732C2#6302311yescharacteristic
1733C2#6302911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34963C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59288C2semidirect
2. #59272C2semidirect
3. #59258C2semidirect
4. #59257C2semidirect
5. #59244C2semidirect
6. #59243C2semidirect
7. #59240C2semidirect
8. #59230C2semidirect
9. #59227C2semidirect
10. #59224C2semidirect
11. #59214C2semidirect
12. #59211C2semidirect
13. #59203C2semidirect
14. #59197C2semidirect
15. #59025C2semidirect
16. #59014C2semidirect
17. #47701C2semidirect
18. #47696C2semidirect
19. #42694C2semidirect
20. #42691C2semidirect
21. #42690C2semidirect
22. #42687C2semidirect
23. #42012C2semidirect
24. #37623C2semidirect
25. #36065C2semidirect
26. #36044C2semidirect
27. #35952C2semidirect
28. #35855C2semidirect
29. #35824C2semidirect
30. #34971C2semidirect
32. C2×#2538C2semidirect
33. #34196C2semidirect
34. #34194C2semidirect
35. #34188C2semidirect
36. C2×#556C22semidirect
37. C2×#552C22semidirect
42. #2843C22semidirect
43. #2831C22semidirect
44. #2829C22semidirect
45. #2786C22semidirect
46. #2784C22semidirect
47. #2781C22semidirect
48. #2780C22semidirect
49. #2779C22semidirect
50. #2777C22semidirect
51. #2773C22semidirect
52. #2767C22semidirect
54. #2758C22semidirect
57. #2750C22semidirect
58. #2747C22semidirect
59. #2744C22semidirect
60. #2741C22semidirect
62. #2737C22semidirect
63. #2715C22semidirect
64. #2702C22semidirect
65. #2700C22semidirect
66. #2695C22semidirect
67. #2690C22semidirect
68. #2689C22semidirect
69. #2665C22semidirect
70. #2662C22semidirect
71. #2660C22semidirect
72. #2660C22semidirect
73. #2654C22semidirect
74. #2650C22semidirect
75. #2650C22semidirect
76. #2648C22semidirect
77. #2647C22semidirect
78. #2647C22semidirect
81. #2604C22semidirect
82. #2599C22semidirect
83. #2599C22semidirect
87. #2594C22semidirect
88. #2587C22semidirect
89. #2581C22semidirect
90. #2581C22semidirect
93. #2574C22semidirect
94. #2574C22semidirect
95. #2574C22semidirect
96. #2573C22semidirect
97. #2571C22semidirect
98. #2571C22semidirect
99. #2570C22semidirect
100. #2569C22semidirect
103. #2563C22semidirect
104. #2562C22semidirect
106. #2560C22semidirect
108. #2554C22semidirect
109. #2552C22semidirect
110. #2552C22semidirect
111. #2551C22semidirect
121. #2538C22semidirect
122. #2536C22semidirect
123. #2536C22semidirect
124. #2536C22semidirect
127. #2533C22semidirect
129. #2531C22semidirect
130. #2529C22semidirect
131. #2528C22semidirect
132. #2525C22semidirect
133. #2525C22semidirect
134. #2522C22semidirect
135. #2519C22semidirect
136. #2519C22semidirect
137. #2515C22semidirect
142. #2510C22semidirect
143. #2509C22semidirect
144. #2509C22semidirect
145. #2508C22semidirect
146. #2506C22semidirect
147. #2503C22semidirect
150. #2499C22semidirect
152. #2497C22semidirect
153. #2496C22semidirect
154. #2496C22semidirect
155. #2495C22semidirect
156. #2495C22semidirect
157. #2495C22semidirect
158. #2494C22semidirect
159. #2494C22semidirect
161. #2492C22semidirect
164. #2489C22semidirect
166. #2488C22semidirect
169. #2487C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
174. #2485C22semidirect
180. #2475C22semidirect
182. #2469C22semidirect
183. #2465C22semidirect
187. #2442C22semidirect
188. #2441C22semidirect
191. #2439C22semidirect
192. #2439C22semidirect
193. #2438C22semidirect
195. #2421C22semidirect
196. #2421C22semidirect
198. #2417C22semidirect
199. #2415C22semidirect
200. #2415C22semidirect
201. #2415C22semidirect
211. #2401C22semidirect
212. #2399C22semidirect
214. #2398C22semidirect
216. #2396C22semidirect
218. #2370C22semidirect
219. #2365C22semidirect
222. #2362C22semidirect
224. #2360C22semidirect
226. #2355C22semidirect
227. #2355C22semidirect
228. #2355C22semidirect
229. #2355C22semidirect
230. #2355C22semidirect
231. #2355C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2354C22semidirect
244. #2352C22semidirect
245. Q8×C4⋊C4C22semidirect
246. Q8×C4⋊C4C22semidirect
249. #2347C22semidirect
250. #2346C22semidirect
251. #2346C22semidirect
253. #2345C22semidirect
262. #2320C22semidirect
263. #2320C22semidirect
266. #2314C22semidirect
267. #2314C22semidirect
269. C4×C22⋊Q8C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
272. C4×C22⋊Q8C22semidirect
285. #2285C22semidirect
286. #2285C22semidirect
287. #2285C22semidirect
288. #2285C22semidirect
296. #2276C22semidirect

Maximal subgroups

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

subgroupindex
#592882
#592722
#592582
#592572
#592442
#592432
#592402
#592302
#592272
#592242
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